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, 32625, 5175, 2125, 19, 10, 2842, 9, 1365, 6288, 6, 4246, 10, 13305, 483, 7513, 30, 10, 6755, 12547, 6, 3459, 9590, 6, 38668, 11212, 6, 8, 18558, 4, 20, 2214, 11498, 10, 19448, 5466, 150, 22690, 15352, 30054, 4785, 6, 7630, 14805, 10, 1472, 9, 980, 8, 3366, 12, 3341, 13408, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 26658, 23, 41, 12447, 1001, 20889, 6, 19, 5, 40286, 83, 8, 211, 19983, 1328, 5, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50799, 51931, 51544, 50834, 51570, 53057, 51931, 50799, 51931, 51544, 50834, 51570, 58078, 55165, 50800, 55374, 51757, 52709, 50808, 53519, 51049, 57399, 52353, 50812, 52778, 72724, 51948, 50833, 51837, 55874, 51516, 50854, 51578, 66145, 63885, 51435, 68384, 76012, 51275, 52863, 51099, 50844, 51119, 50844, 51308, 66849, 51232, 50822, 51144, 63105, 51280, 50874, 51198, 58223, 51708, 50827, 51706, 64224, 51869, 50827, 52288, 50879, 63549, 51677, 52974, 51518, 53254, 52222, 54574, 51243, 52509, 52222, 54643, 52535, 51004, 50417, 51198, 50828, 51119, 50818, 51494, 50840, 51275, 55748, 51258, 52906, 53522, 53899, 50927, 54766, 52976, 51198, 50942, 51119, 50925, 51275, 51008, 51494, 58473, 51406, 52535, 51004, 53649, 57617, 50927, 56895, 53522, 54034, 51275, 50897, 51198, 50977, 51494, 50937, 51119, 50977, 50913, 50908, 51658, 51406, 52535, 66065, 50927, 55006, 57278, 76001, 51198, 51255, 51494, 51221, 51119, 51255, 51275, 51221, 50852, 53522, 54284, 51415, 55006, 53166, 51271, 51255, 60221, 50995, 52075, 51199, 50816, 51406, 52535, 51004, 54599, 51258, 56672, 53522, 50837, 53341, 50908, 52288, 50901, 56917, 51662, 52290, 51662, 53254, 52335, 53298, 52222, 53768, 52062, 54643, 52535, 51004, 50417, 51198, 50855, 58444, 51429, 50857, 51275, 53611, 51258, 52906, 53522, 53899, 50927, 56474, 52976, 51275, 50833, 51198, 50942, 51099, 50925, 51429, 63250, 51406, 52535, 51004, 53649, 57617, 50927, 51267, 50852, 53522, 54034, 51275, 50942, 51198, 50987, 51099, 50937, 51429, 50977, 50913, 50908, 51658, 51406, 52535, 51004, 53525, 52790, 57278, 51069, 50857, 51198, 50981, 51099, 51003, 51429, 50943, 51275, 50914, 50852, 53522, 54284, 51069, 55355, 53166, 63048, 63549, 50822, 52974, 55459, 51406, 52535, 63659, 60221, 50857, 52075, 54766, 58210, 51228, 56015, 53522, 54600, 62900, 50886, 51612, 54738, 50908, 52288, 50901, 60221, 51233, 52075, 51043, 53254, 51671, 54574, 51243, 52509, 51313, 54643, 52535, 51004, 50417, 76348, 51494, 67341, 51275, 55063, 51258, 52906, 53522, 53899, 75412, 63549, 50838, 52974, 51212, 50913, 52976, 51198, 50878, 51494, 50925, 51119, 50925, 51275, 62283, 51406, 52535, 51004, 53649, 57617, 50927, 51158, 63549, 53849, 52974, 53413, 50852, 53522, 54034, 51198, 50955, 51494, 50942, 51119, 50955, 51275, 63832, 50908, 51658, 51406, 52535, 66065, 50927, 55006, 57278, 51011, 50822, 51275, 50914, 51198, 51351, 51494, 51351, 51119, 51204, 50852, 53522, 54284, 51415, 50862, 52353, 50855, 54513, 50855, 55165, 50809, 59150, 55063, 53166, 51271, 51048, 52353, 51235, 54513, 51160, 55165, 51427, 59150, 51235, 50816, 51406, 52535, 51004, 54599, 51258, 56672, 53522, 54600, 52929, 50836, 52778, 50840, 55165, 50855, 65510, 56530, 50908, 52288, 50795, 52929, 51238, 52778, 51160, 55165, 51235, 65510, 51116, 53254, 51671, 53298, 52222, 53768, 52062, 54643, 52535, 51004, 50417, 76348, 51099, 50809, 51429, 50855, 51275, 54766, 51258, 52906, 53522, 53899, 70943, 52461, 50836, 52353, 50836, 53519, 50836, 58889, 55063, 52976, 51275, 50833, 51198, 50942, 51099, 50925, 51429, 50925, 52461, 51336, 52353, 51356, 53519, 51196, 58889, 51336, 50816, 51406, 52535, 51004, 53649, 57617, 76786, 50852, 53522, 54034, 51099, 50925, 51275, 50942, 51198, 50987, 51429, 75987, 50908, 51658, 51406, 52535, 66065, 50927, 54494, 52790, 57278, 75740, 51099, 51241, 51429, 51241, 51275, 51351, 51198, 51134, 50852, 53522, 50837, 53721, 53166, 51205, 59343, 51406, 52535, 51004, 54599, 58210, 51228, 60193, 52373, 50837, 53341, 50908, 52288, 51177, 63549, 51939, 52974, 51692, 53254, 52062, 54574, 51671, 52509, 52151, 54643, 52535, 51004, 50417, 51494, 69863, 50862, 51275, 50855, 51198, 53189, 51258, 52906, 53522, 53899, 50927, 56474, 52976, 51198, 50878, 51494, 50942, 51119, 50942, 51275, 62283, 51406, 52535, 51004, 53649, 57617, 50927, 51060, 50852, 53522, 54034, 51198, 50955, 51494, 50942, 51275, 50925, 51119, 75987, 50908, 51658, 51406, 52535, 66065, 50927, 53189, 57278, 51011, 50810, 51275, 51191, 51198, 51351, 51494, 51351, 51119, 51191, 50852, 53522, 54284, 51415, 53611, 53166, 51271, 50943, 60221, 51253, 52075, 64019, 51406, 52535, 51004, 54599, 51258, 56672, 53522, 50837, 53341, 50908, 52288, 50879, 56917, 51677, 52290, 51790, 53254, 53142, 53298, 52222, 53768, 52335, 54643, 52535, 51004, 50417, 51198, 50833, 64874, 76022, 51275, 53611, 51258, 52906, 53522, 53899, 75644, 50913, 52976, 51275, 50854, 51198, 50878, 51099, 50925, 51429, 62283, 51406, 52535, 51004, 53649, 57617, 50927, 51177, 50852, 53522, 54034, 51099, 50897, 51429, 50925, 51275, 50942, 51198, 50977, 50913, 50908, 51658, 51406, 52535, 66065, 50927, 54384, 52790, 57278, 74381, 51198, 51267, 51099, 51048, 51429, 50943, 73140, 50852, 53522, 50837, 53721, 53166, 51205, 50977, 63549, 50822, 52974, 53228, 51406, 52535, 63659, 60221, 50886, 52075, 55748, 58210, 51228, 66400, 53522, 54600, 62900, 50971, 51612, 73097, 52288, 50937, 60221, 51233, 52075, 51255, 55091, 51642, 52509, 51233, 54686, 51534, 54643, 52535, 51004, 50417, 51232, 58062, 50833, 51777, 50833, 51489, 56474, 51258, 52906, 53522, 53899, 75412, 63549, 50972, 52974, 50901, 54574, 50904, 52509, 51022, 53293, 56753, 52976, 68140, 71008, 51777, 50925, 51119, 58473, 51406, 52535, 51004, 53649, 57617, 50927, 51194, 63549, 51680, 52974, 51295, 54574, 51477, 52509, 51542, 53293, 51542, 50852, 53522, 54034, 51494, 51255, 51275, 51221, 52070, 51221, 51119, 51162, 50913, 50908, 51658, 51406, 52535, 66065, 50927, 52501, 57278, 50927, 52152, 53522, 50837, 53721, 53166, 51228, 51215, 51119, 50917, 51777, 50977, 51489, 50937, 51232, 50901, 51578, 50914, 52929, 50914, 52778, 50914, 58008, 51013, 52075, 51003, 55091, 51484, 52509, 51199, 54686, 51172, 50816, 51406, 52535, 51004, 54599, 51258, 56672, 53522, 50837, 53341, 50908, 54798, 51060, 51232, 50937, 51275, 50937, 64227, 51429, 50901, 51516, 51218, 52461, 51141, 52353, 51218, 62600, 50808, 62900, 52062, 51612, 51359, 53254, 51542, 53298, 51391, 53768, 51542, 54643, 52535, 51004, 50417, 58008, 50808, 52162, 52707, 57236, 68140, 51099, 50859, 51429, 50808, 51275, 50859, 56913, 51422, 52162, 56634, 53522, 53899, 51205, 50910, 52162, 52707, 52976, 52162, 56533, 51406, 52535, 64838, 52162, 52707, 57617, 51069, 51116, 51198, 51127, 51494, 51183, 51119, 50918, 51275, 51127, 52353, 51183, 52070, 51145, 51578, 51127, 53254, 51244, 54574, 51148, 52509, 51448, 50852, 53522, 50837, 53198, 50908, 51658, 51406, 52535, 51004, 53525, 52790, 57278, 51069, 52227, 53522, 50837, 53721, 53166, 51069, 55591, 51406, 52535, 63659, 51205, 52085, 58210, 51228, 56638, 52373, 50837, 53341, 50908, 53285, 50849, 51489, 51127, 51232, 51127, 51119, 51127, 51777, 51675, 56775, 51203, 62600, 50807, 51905, 51047, 51584, 51293, 52170, 52121, 57407, 51592, 55091, 52222, 52509, 52071, 54643, 52535, 51004, 53214, 51258, 52906, 53522, 53899, 51069, 71038, 52976, 58008, 50887, 56775, 59756, 51406, 52535, 51004, 53649, 57617, 74381, 58008, 51291, 56775, 51047, 50852, 53522, 50837, 53198, 50908, 51658, 51406, 52535, 66065, 51069, 50833, 51558, 55828, 57278, 77382, 68140, 51119, 50925, 51777, 50878, 51489, 50878, 51905, 57444, 53522, 54284, 51558, 55828, 53166, 79512, 51232, 50924, 76092, 51489, 50873, 51777, 51100, 51905, 55071, 51406, 52535, 63659 ]
[ 0, 250, 15855, 19834, 2125, 14, 7630, 6568, 10, 1472, 9, 9066, 9733, 8, 5386, 814, 6, 4246, 10, 6755, 12547, 6, 1515, 21305, 6, 32909, 6, 8, 15679, 642, 1543, 4, 8504, 11, 83, 3694, 19, 10, 7212, 20889, 6, 42, 765, 2214, 3905, 10, 33215, 16739, 9, 1918, 406, 6, 83, 73, 717, 6, 163, 119, 406, 428, 245, 73, 250, 6, 1918, 406, 6, 8, 274, 401, 6, 2351, 10, 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 ]	[ 57530, 50796, 50443, 55528, 50811, 52371, 50811, 52351, 63999, 52371, 63154, 52371, 56883, 52371, 53650, 52371, 50930, 52351, 52937, 52371, 50840, 50799, 52371, 55926, 52371, 57404, 52371, 50880, 52351, 58242, 52371, 65469, 52371, 57881, 52371, 57398, 52371, 50846, 52351, 58198, 52371, 63608, 52371, 50828, 52351, 60178, 52351, 60869, 52371, 54400, 52351, 56877, 55528, 50894, 51887, 50803, 52351, 57891, 52371, 50962, 50452, 52371, 59310, 52371, 69312, 52371, 58561, 52351, 50811, 50799, 52371, 61060, 52371, 52628, 52371, 54477, 52371, 50855, 52351, 52968, 52371, 57318, 52371, 58406, 52371, 62586, 52371, 50840, 52351, 57149, 52371, 65809, 52371, 50836, 52351, 52940, 52351, 59587, 52371, 63674, 52351, 58977, 55244, 51010, 52143, 50811, 52351, 62103, 55528, 51010, 52371, 64985, 55528, 50820, 52371, 60427, 52371, 65175, 52371, 50887, 52351, 50811, 51809, 52371, 53829, 52371, 55795, 52371, 53939, 55528, 50803, 51887, 50803, 52351, 54935, 52371, 56257, 52371, 68172, 52371, 64916, 52371, 50961, 52351, 60681, 52371, 58953, 52371, 50895, 52351, 53851, 52351, 64223, 52371, 63154, 52351, 56721, 55244, 50962, 52143, 50811, 52351, 62161, 53151, 50860, 51509, 51045, 50455, 55528, 50811, 52371, 71310, 52371, 50895, 53151, 50949, 51509, 56904, 52371, 50884, 53151, 50817, 51509, 50895, 51809, 51887, 50811, 55528, 50811, 54012, 50803, 51509, 50950, 52351, 60861, 52371, 76255, 52371, 55893, 54012, 50895, 51509, 55800, 52371, 50930, 53916, 50803, 51509, 53300, 55528, 50811, 51887, 50811, 52351, 52726, 52371, 51031, 53916, 50803, 51509, 64917, 52371, 55622, 51887, 50818, 53916, 50858, 51509, 74173, 52907, 50811, 51887, 50811, 54012, 50993, 51579, 51055, 52351, 59135, 55528, 50962, 52371, 50817, 51887, 59788, 52907, 50811, 52351, 52568, 52351, 56721, 55528, 50811, 52371, 62161, 52351, 57916, 70285, 51009, 52371, 50811, 52351, 57859, 52665, 51127, 51509, 60370, 52371, 66767, 51485, 59616, 52371, 50887, 51809, 52371, 64174, 52371, 69079, 52371, 59066, 52371, 65760, 52371, 52417, 57805, 51009, 52371, 50880, 53064, 51127, 50435, 52371, 55395, 52371, 54735, 52371, 52878, 52371, 55354, 52371, 57150, 52371, 57297, 52371, 62037, 51887, 50803, 55528, 51527, 51996, 51127, 50460, 52371, 50962, 51601, 52371, 59748, 52371, 50930, 50421, 52371, 72309, 52371, 70690, 52371, 58607, 52371, 58608, 57805, 51009, 52371, 62439, 51946, 51218, 50437, 52371, 53905, 52371, 53239, 52371, 54926, 52371, 53688, 52371, 56883, 52371, 57297, 51996, 60734, 52371, 50887, 51946, 61780, 70285, 51870, 52143, 56628, 52196, 51359, 51601, 52371, 61134, 52371, 69388, 52371, 68712, 52371, 65469, 52371, 62357, 52371, 59871, 52371, 62256, 51887, 50811, 57805, 51009, 50440, 52371, 51010, 50443, 52371, 65866, 52371, 55245, 52371, 57886, 52371, 53173, 52371, 56924, 52371, 50880, 51601, 52143, 50811, 70285, 50802, 53151, 50823, 51509, 51045, 50418, 52371, 50962, 50421, 52371, 50895, 70285, 50802, 53151, 50949, 51509, 58423, 52371, 50887, 53151, 50811, 51509, 73892, 70285, 50993, 51887, 50811, 54012, 50803, 51509, 50950, 50430, 52371, 51010, 50433, 52371, 60063, 54012, 50895, 51509, 73957, 52371, 50930, 53916, 50803, 51509, 62281, 59472, 51066, 51887, 60869, 52371, 51031, 53916, 50803, 51509, 79942, 52371, 71540, 51887, 50818, 51509, 55245, 53916, 50858, 50452, 59472, 50824, 51887, 55552, 54012, 50993, 51579, 51055, 52351, 52884, 52371, 50811, 51887, 54871, 52351, 56912, 52351, 50817, 50799, 52371, 58320, 52351, 55265, 55528, 50811, 52371, 50811, 51357, 50890, 51488, 50887, 52351, 50802, 50418, 56117, 53213, 52371, 50880, 66528, 54541, 58242, 52371, 50884, 51154, 50840, 52695, 58860, 52371, 50895, 51357, 50890, 51488, 50890, 51996, 58459, 52371, 50930, 66528, 51946, 50811, 52351, 57476, 52371, 50840, 51154, 50836, 52196, 62602, 52371, 50862, 51357, 50890, 51488, 50890, 53339, 59071, 52371, 50820, 51154, 70686, 52196, 60681, 52371, 50880, 51154, 50813, 52351, 60869, 53339, 57915, 52371, 50887, 51357, 50890, 51488, 50887, 52196, 57795, 52371, 50828, 51154, 50825, 53339, 62161, 52371, 50828, 66528, 52196, 59730, 52371, 50846, 51357, 50890, 51488, 50887, 53916, 50811, 52351, 58150, 52371, 50846, 51154, 50809, 53339, 50811, 50799, 52371, 50828, 66337, 51266, 50857, 53916, 50811, 52351, 63603, 52351, 55265, 52371, 50840, 51154, 50890, 53339, 60208, 52351, 52302, 55528, 50894, 51887, 50803, 51357, 50859, 51488, 50887, 51565, 50860, 52351, 59236, 52161, 57646, 52671, 53578, 52371, 50962, 51154, 50887, 52202, 57615, 52155, 50971, 52182, 53537, 52371, 50809, 51154, 61799, 52371, 50930, 51357, 50887, 51488, 67980, 52371, 50930, 51154, 50818, 52351, 57485, 51565, 59618, 52161, 58212, 52371, 50884, 51154, 50855, 52671, 57784, 52202, 52057, 52155, 73898, 52371, 50809, 51357, 50887, 51488, 50887, 52182, 59650, 52371, 50841, 51154, 58953, 52371, 50855, 51154, 50813, 52351, 59788, 52371, 50818, 51357, 50887, 51488, 66429, 52155, 50803, 52182, 62103, 52371, 50840, 51154, 50840, 52161, 50803, 51565, 58403, 52371, 50841, 51154, 62705, 52371, 50846, 51357, 50890, 51488, 50809, 52351, 52937, 52182, 50803, 52155, 56771, 52371, 50884, 51154, 50809, 78208, 50803, 51565, 62601, 52371, 50828, 51266, 60685, 67247, 52351, 61792, 52351, 52302, 52371, 50887, 51154, 50887, 52351, 53578, 55244, 50950, 52143, 50811, 51357, 50858, 51488, 50858, 56117, 50803, 52351, 51973, 52371, 50880, 55528, 51010, 51154, 50890, 54541, 54935, 52371, 50887, 55528, 50820, 51154, 50840, 52695, 52726, 52371, 50887, 51357, 50890, 51488, 68487, 51996, 54496, 52371, 50887, 51154, 50809, 52351, 58212, 51946, 59071, 52371, 50884, 51154, 50813, 52196, 60681, 52371, 50884, 51357, 50890, 51488, 50890, 53339, 59135, 52371, 50880, 51154, 50846, 52196, 57915, 51946, 62749, 55528, 50811, 51887, 50811, 51154, 50840, 53339, 50811, 52351, 58614, 52371, 51010, 51357, 50890, 51488, 50890, 52196, 59154, 52371, 50962, 51154, 50887, 53339, 57895, 52371, 64963, 66528, 53339, 59616, 53916, 56628, 52371, 50930, 51357, 50890, 51488, 50887, 52351, 50817, 51809, 52371, 50846, 51154, 50890, 53339, 60861, 52371, 50895, 51266, 50812, 51107, 50859, 53916, 50811, 52351, 60879, 52351, 57369, 52371, 50880, 51154, 50890, 53339, 53578, 52351, 60517, 55244, 50962, 52143, 52968, 51357, 50858, 51488, 50858, 51606, 50846, 52351, 61347, 52083, 58967, 52371, 50962, 55528, 50811, 51154, 50890, 51565, 53695, 52371, 50895, 51154, 50840, 52251, 65604, 51565, 56788, 52371, 50887, 51357, 50890, 51488, 66248, 52083, 53980, 55528, 50811, 51887, 50811, 51154, 50809, 51606, 50836, 52351, 61746, 52083, 59138, 52371, 51010, 51154, 60672, 51565, 53524, 52371, 50895, 51357, 50890, 51488, 50858, 52251, 61998, 51565, 60168, 52371, 50930, 51154, 61587, 52083, 65780, 51887, 50811, 55528, 50811, 51154, 50840, 51606, 50839, 52351, 55552, 52083, 59699, 52371, 51031, 51357, 50890, 51488, 68065, 51565, 61242, 52371, 50930, 51154, 50887, 52251, 56249, 51565, 63298, 51887, 50818, 51154, 59496, 52083, 50971, 51601, 51887, 50811, 52907, 50811, 51357, 78008, 51488, 50887, 51606, 50841, 52351, 60208, 52083, 67945, 55528, 50962, 52371, 50811, 51887, 50811, 51154, 55180, 51565, 60171, 52907, 50811, 51107, 50859, 51266, 50812, 52251, 50813, 52351, 63863, 51565, 50864, 52351, 60517, 55528, 50811, 52371, 50817, 51154, 54392, 52083 ]
[ 0, 250, 2635, 12, 20764, 3495, 1619, 2214, 11, 272, 538, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 30062, 620, 7085, 12280, 642, 6, 3459, 8669, 6, 8, 21979, 9590, 4, 20, 33301, 16, 1372, 8, 8520, 6, 19, 5, 40286, 211, 406, 6, 272, 6, 163, 119, 6, 8, 230, 19983, 1328, 5, 2125, 6, 61, 16, 278, 11, 204, 73, 306, 86, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 50796, 50444, 51830, 58262, 51664, 50978, 52078, 59835, 51793, 54424, 51912, 51058, 51984, 57651, 51389, 50810, 50799, 51451, 51477, 51150, 51318, 50847, 51013, 51439, 73640, 62976, 51366, 51003, 50868, 54667, 56990, 52688, 51209, 51194, 66853, 51149, 50925, 50868, 58507, 58451, 51480, 50430, 63866, 51257, 57066, 51451, 50838, 51098, 54703, 57373, 61782, 57988, 51439, 54930, 51366, 52136, 51493, 51310, 50868, 51310, 50868, 51218, 51149, 51218, 50444, 51209, 51709, 50847, 57597, 67994, 52985, 51590, 51480, 50847, 56347, 51393, 50320, 62034, 51366, 51079, 51493, 56467, 50933, 62486, 50935, 50925, 50848, 51177, 51007, 51177, 76308, 51637, 51140, 51351, 50872, 51189, 51257, 51189, 50872, 72442, 51229, 50932, 50850, 57093, 51003, 51257, 60324, 51334, 51806, 50850, 54777, 51256, 51210, 51140, 56467, 50833, 51149, 50833, 63456, 51257, 50978, 50850, 58952, 50848, 51562, 51007, 51562, 50438, 51830, 52147, 75113, 50988, 78698, 51893, 74971, 51390, 52011, 50848, 55808, 56347, 51448, 50447, 51590, 57991, 51893, 51775, 52078, 59529, 55664, 70184, 51793, 54194, 51390, 50959, 51984, 55582, 50977, 59458, 50459, 51389, 50810, 50799, 51451, 52519, 51150, 51310, 50847, 50807, 51439, 57680, 62976, 51366, 54521, 50868, 54667, 56990, 53656, 53109, 51334, 51480, 50426, 51209, 57371, 50977, 51149, 50977, 50868, 58507, 58451, 51480, 50856, 54883, 51366, 64756, 70384, 51257, 58466, 51451, 50972, 51098, 55969, 57373, 61782, 60304, 51439, 58020, 51366, 52136, 51493, 51134, 50868, 51310, 50868, 51218, 51149, 51218, 50444, 51209, 51253, 50847, 57597, 67994, 52985, 51590, 51775, 50847, 56347, 51393, 50320, 62034, 51366, 51387, 51493, 55077, 50933, 62486, 50935, 50925, 50848, 51101, 51007, 51101, 76308, 51466, 51140, 51351, 50872, 51218, 51257, 51218, 50872, 72213, 53203, 51229, 51381, 50850, 57093, 51003, 51257, 78145, 52917, 51334, 51199, 50850, 59384, 53031, 51256, 51376, 51140, 55905, 50808, 51149, 50808, 63456, 51257, 50978, 50850, 58952, 50848, 51417, 51007, 51417, 50438, 51830, 52212, 75113, 50988, 78698, 51893, 51337, 50444, 51390, 53892, 50848, 55808, 56347, 51448, 50447, 51590, 76015, 51893, 51172, 52078, 55582, 55664, 70184, 51390, 50905, 51793, 53820, 51590, 50822, 51984, 50844, 59082, 59458, 50459, 51389, 50810, 50799, 51451, 51283, 51150, 51115, 50885, 51047, 52969, 53769, 53203, 51366, 51312, 50868, 54667, 56990, 56909, 51334, 51253, 50426, 51209, 51309, 50868, 58507, 58451, 51480, 53195, 65928, 58032, 53141, 58466, 51451, 51365, 51098, 54667, 57373, 61782, 52969, 53402, 51366, 52256, 51493, 51295, 50868, 51310, 53195, 51127, 50856, 52875, 51209, 56713, 57597, 67994, 57060, 51590, 51412, 50450, 51209, 51534, 50847, 56347, 51393, 50320, 51101, 50453, 51366, 54298, 50456, 51590, 50827, 51493, 56467, 50933, 62486, 50935, 50925, 76308, 54836, 51140, 51218, 50872, 51148, 50856, 53023, 51229, 61886, 57093, 51003, 51257, 51097, 52758, 59083, 54104, 51334, 51412, 50426, 51229, 51484, 50850, 50901, 52758, 55836, 54974, 51256, 54861, 50430, 52758, 59517, 51334, 50978, 51705, 58451, 50917, 51257, 50978, 50850, 67632, 53195, 58866, 51830, 52147, 51098, 51419, 50988, 51148, 53141, 51189, 50441, 51893, 72379, 51390, 52059, 50848, 55808, 56347, 51448, 50447, 51590, 51412, 50450, 51893, 51172, 50848, 55664, 67240, 55423, 51390, 51534, 51216, 52863, 51590, 50972, 51668, 55257, 50977, 59458, 52969, 58641, 54603, 51893, 50827, 50799, 51451, 51283, 51150, 51310, 50885, 51047, 50856, 52944, 51366, 51312, 50868, 54667, 56990, 50838, 53195, 54035, 53109, 51334, 51253, 50426, 51209, 51309, 50868, 58507, 58451, 51480, 52969, 51591, 50856, 52818, 51451, 51365, 51098, 55196, 57373, 58450, 51366, 52256, 51493, 51183, 50868, 51310, 50444, 51209, 56713, 57597, 67994, 57060, 51590, 51412, 50450, 51209, 51534, 50847, 56347, 51393, 50320, 80153, 55007, 51366, 54298, 50456, 51590, 50827, 70687, 62486, 50935, 59083, 50825, 76308, 54836, 51140, 51295, 50872, 51148, 50856, 53403, 51229, 61886, 57093, 51003, 51257, 63575, 53109, 51334, 51412, 50426, 51229, 51484, 50850, 59384, 55001, 51256, 54861, 50432, 51334, 50978, 51705, 58451, 50917, 51257, 50978, 50850, 50845, 53032, 54233, 51830, 52147, 51098, 51400, 50988, 51148, 55493, 51241, 50816, 53349, 54656, 51893, 72379, 51390, 52059, 50848, 55808, 56347, 51448, 50447, 51590, 51412, 50450, 51893, 51172, 51098, 55582, 55664, 63097, 53864, 54859, 51390, 51534, 51216, 50833, 53032, 52863, 51590, 50972, 51668, 50987, 59082, 59458, 52758, 51654, 54794, 51893, 50827, 50799, 51451, 51283, 51150, 51127, 50885, 51047, 54890, 71382, 53889, 52748, 53403, 51366, 51312, 50868, 54667, 56990, 55974, 53796, 54951, 51334, 51253, 50426, 51209, 51309, 50868, 58507, 58451, 51480, 50816, 52223, 52767, 51451, 51365, 50847, 57373, 50959, 51895, 50969, 52904, 51366, 52256, 51493, 51391, 50868, 51310, 50816, 54412, 53114, 51209, 56713, 57597, 67994, 55974, 52748, 54673, 51590, 51412, 50450, 51209, 51534, 50847, 56347, 51393, 50320, 51101, 51927, 50969, 56597, 51366, 54298, 50456, 51590, 50827, 51493, 57371, 50933, 62486, 50935, 62283, 52465, 50837, 76308, 54836, 51140, 51351, 50872, 51148, 50816, 54412, 54366, 53403, 51229, 61886, 57093, 51003, 51257, 62877, 53796, 53899, 51334, 51412, 50426, 51229, 51484, 50850, 57353, 52223, 54974, 51256, 54861, 53032, 57356, 51334, 50978, 51140, 56990, 50917, 51257, 50978, 50850, 50845, 51927, 50969, 55799, 54182, 52729, 51830, 52147, 51098, 51221, 50988, 51148, 55493, 51191, 51248, 50969, 65649, 51893, 72379, 51390, 52059, 50848, 55808, 56347, 51448, 50816, 52771, 54284, 51590, 51412, 50450, 51893, 51172, 51098, 59529, 55664, 63097, 52223, 55007, 51390, 51534, 51216, 50810, 53032, 52863, 51590, 50972, 51668, 55257, 50977, 59458, 52758, 54792, 52771, 54600, 51893, 50827, 50799, 51451, 51283, 51150, 51189, 50885, 51047, 53195, 51692, 51927, 50969, 79693, 53227, 51366, 51312, 50868, 54667, 56990, 50838, 51895, 50969, 58362, 51334, 51253, 50426, 51209, 51309, 50868, 58507, 58451, 51480, 50816, 52348, 53031, 51451, 51365, 51098, 56785, 57373, 63445, 52465, 53018, 51366, 52256, 51493, 51391, 50868, 51310, 50816, 56402, 53027, 51209, 56713, 57597, 67994, 55974, 53600, 54914, 51590, 51412, 50450, 51209, 51534, 50847, 56347, 51393, 50320, 51101, 53195, 54494, 52348, 64125, 52758, 57168, 51366, 54298, 50454, 53032, 55370, 51590, 50827, 51493, 56467, 50933, 62486, 50935, 50925, 52758, 50873, 51248, 50969, 56240, 50835, 76308, 54836, 51140, 51351, 50872, 51148, 52758, 50854, 51248, 50969, 79693, 56390, 53032, 51397, 50420, 51229, 61886, 57093, 51003, 51257, 51097, 52029, 50969, 56016, 51334, 51412, 50426, 51229, 51484, 50850, 57353, 52348, 55001, 51256, 54861, 50432, 51334, 50978, 51140, 59985, 50917, 51257, 50978, 50850, 56649, 52348, 54902, 52766, 51098, 51178, 50988, 51148, 50816, 52748, 55262, 51893, 72379, 51390, 52059, 50848, 55808, 56347, 80174, 53396, 52771, 54284, 51590, 51412, 50450, 51893, 51172, 52078, 50844, 50848, 55664, 63097, 52223, 55007, 51390, 51534, 51793, 53820, 51590, 50972, 51984, 55582, 50977, 59458, 50798, 53396, 52465, 54794, 51389, 50854, 50799, 51451, 51283, 51150, 51148, 50885, 51047, 52969, 51048, 51567, 61619, 53754, 54412, 53403, 51366, 51312, 50868, 54667, 56990, 55974, 53796, 54951, 51334, 51253 ]
[ 0, 250, 765, 6, 30389, 12, 20764, 15855, 2125, 19, 10, 2842, 9, 19834, 27456, 6, 4246, 1076, 560, 31365, 25999, 6, 3459, 8669, 6, 38668, 9590, 6, 8, 38668, 21072, 6, 7630, 14805, 10, 1372, 8, 15352, 30054, 6711, 10686, 13, 3541, 6, 2365, 9629, 6, 50, 28845, 6, 278, 11, 5, 762, 9, 272, 3694, 19, 10, 33215, 13931, 9, 274, 6, 230, 119, 6, 8, 211, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 57636, 50825, 53386, 51172, 50769, 50299, 50825, 64375, 53004, 57636, 58990, 54641, 51006, 51547, 51006, 51229, 51006, 57636, 50933, 57636, 51277, 50769, 50307, 61924, 58220, 50864, 50769, 50299, 57004, 51547, 50827, 51229, 50827, 57636, 50825, 56292, 50827, 50769, 50307, 61284, 54641, 51006, 56227, 50825, 56227, 51006, 50769, 50299, 50825, 55369, 56819, 51547, 50864, 51229, 50864, 50769, 50307, 67552, 58220, 50864, 58625, 51006, 58625, 51172, 50769, 50299, 50825, 55369, 53528, 54641, 51006, 51547, 50933, 51229, 50933, 55369, 50825, 50769, 50307, 57186, 58220, 50864, 57636, 50825, 57636, 51006, 50769, 50299, 50825, 55369, 53217, 50769, 50307, 65241, 54103, 51172, 57636, 50825, 53386, 51172, 50769, 50299, 50825, 55369, 50825, 51809, 57636, 50825, 55369, 58092, 54641, 51006, 51547, 51006, 51229, 51006, 57636, 50933, 57636, 51277, 55369, 50825, 50769, 50307, 63726, 58220, 51172, 50769, 50299, 50825, 55369, 58032, 51547, 50864, 51229, 50864, 57636, 50825, 56292, 50864, 50769, 50307, 52739, 56227, 50825, 56227, 51006, 50769, 50299, 50825, 55369, 53439, 51547, 50827, 51229, 50827, 50769, 50307, 53945, 54641, 51006, 58625, 51006, 58625, 51172, 50769, 50299, 50825, 55369, 53114, 51547, 50827, 51229, 50827, 55369, 50825, 50769, 50307, 58914, 54641, 51006, 57636, 50825, 57636, 51006, 50769, 50299, 50825, 55369, 64125, 50769, 50307, 68926, 51831, 51006, 57636, 50825, 53386, 51172, 50769, 50299, 50825, 55369, 59025, 52376, 51006, 57636, 50825, 55369, 50825, 52478, 52770, 51006, 51547, 51006, 51229, 51006, 57636, 50827, 57636, 50838, 55369, 50825, 50769, 50307, 55470, 52457, 51006, 50769, 50299, 50825, 55369, 52641, 51547, 50864, 51229, 50864, 57636, 50825, 56292, 50864, 50769, 50307, 54889, 54103, 51172, 56227, 50825, 56227, 51006, 50769, 50299, 50825, 55369, 53031, 51547, 50864, 51229, 50864, 50769, 50307, 63221, 58625, 51006, 58625, 51172, 50769, 50299, 50825, 55369, 62969, 54641, 51006, 51547, 50933, 51229, 50933, 55369, 50825, 50769, 50307, 66880, 58220, 51172, 57636, 50825, 57636, 51006, 50769, 50299, 50825, 55369, 59361, 50769, 50307, 62970, 57636, 50825, 53386, 51172, 50769, 50299, 50825, 55369, 53217, 54641, 51006, 57636, 50825, 55369, 50825, 50799, 51547, 51006, 51229, 51006, 57636, 50933, 57636, 50838, 55369, 50825, 50769, 50307, 54202, 50769, 50299, 50825, 55369, 55983, 51547, 50864, 51229, 50864, 57636, 50825, 56292, 50864, 50769, 50307, 63074, 56227, 50825, 56227, 51006, 50769, 50299, 50825, 55369, 64640, 51547, 50864, 51229, 50864, 50769, 50307, 67825, 58625, 51006, 58625, 51172, 50769, 50299, 50825, 55369, 59051, 51547, 50933, 51229, 50933, 50769, 50307, 66090, 50769, 50302, 67552, 57636, 50825, 57636, 51006, 50769, 50296, 53086, 50769, 50307, 54043, 57636, 50825, 53386, 51172, 50769, 50299, 50825, 64375, 55371, 57636, 57110, 54641, 51006, 51547, 51006, 51229, 51006, 57636, 50933, 57636, 50838, 50769, 50307, 50864, 51809, 58220, 50864, 50769, 50299, 61732, 51547, 50864, 51229, 50864, 57636, 50825, 56292, 50864, 50769, 50307, 65127, 54641, 51006, 56227, 50825, 56227, 51006, 50769, 50299, 50825, 55369, 59768, 51547, 50864, 51229, 50864, 50769, 50307, 62763, 58220, 50864, 58625, 51006, 58625, 51172, 50769, 50299, 50825, 55369, 53031, 54641, 51006, 51547, 50933, 51229, 50933, 55369, 50825, 50769, 50307, 53945, 58220, 50864, 57636, 50825, 57636, 51006, 50769, 50299, 50825, 55369, 54905, 50769, 50307, 53086, 54103, 51172, 57636, 50825, 53386, 51172, 50769, 50299, 50825, 55369, 57723, 57636, 50825, 55369, 59713, 54641, 51006, 51547, 51006, 51229, 51006, 57636, 50933, 57636, 50838, 55369, 50825, 50769, 50307, 62495, 58220, 51172, 50769, 50299, 50825, 55369, 50825, 51601, 51547, 50864, 51229, 50864, 57636, 50825, 56292, 50864, 50769, 50307, 73416, 56227, 50825, 56227, 51006, 50769, 50299, 50825, 55369, 52944, 51547, 50864, 51229, 50864, 50769, 50307, 55470, 54641, 51006, 58625, 51006, 58625, 51172, 50769, 50299, 50825, 55369, 54974, 51547, 50933, 51229, 50933, 55369, 50825, 50769, 50307, 59816, 54641, 51006, 57636, 50825, 57636, 51006, 50769, 50299, 50825, 55369, 57514, 50769, 50307, 75325, 51831, 51006, 57636, 50825, 53386, 51172, 50769, 50299, 50825, 55369, 57013, 52376, 51006, 57636, 50825, 55369, 58351, 52770, 51006, 51547, 51006, 51229, 51006, 57636, 50933, 57636, 50838, 55369, 50825, 50769, 50307, 54232, 52457, 51006, 50769, 50299, 50825, 55369, 54026, 51547, 50827, 51229, 50827, 57636, 50825, 56292, 50827, 50769, 50307, 50864, 50799, 54103, 51172, 56227, 50825, 56227, 51006, 50769, 50299, 50825, 55369, 56127, 51547, 50864, 51229, 50864, 50769, 50307, 53004, 58625, 51006, 58625, 51172, 50769, 50299, 50825, 55369, 58990, 54641, 51006, 51547, 50933, 51229, 50933, 55369, 50825, 50769, 50307, 61924, 58220, 51172, 57636, 50825, 57636, 51006, 50769, 50299, 50825, 55369, 57004, 50769, 50307, 61284, 57636, 50825, 53386, 51172, 50769, 50299, 50825, 55369, 59144, 54641, 51006, 57636, 50825, 55369, 53528, 51547, 51006, 51229, 51006, 57636, 50933, 57636, 51277, 55369, 50825, 50769, 50307, 57186, 50769, 50299, 50825, 55369, 53217, 51547, 50864, 51229, 50864, 57636, 50825, 56292, 50864, 50769, 50307, 65241, 56227, 50825, 56227, 51006, 50769, 50299, 50825, 55369, 56834, 51547, 50864, 51229, 50864, 51809, 54103, 50864, 58625, 51006, 58625, 51172, 50769, 50307, 51006, 50421, 54103, 50827, 51547, 50933, 51229, 50933, 50769, 50307, 63726, 54103, 50864, 57636, 50825, 57636, 51006, 50769, 50307, 53052, 54103, 50864, 59732, 50825, 56287, 51172, 50769, 50299, 50825, 64375, 52788, 59732, 53114, 54103, 51283, 51256, 51006, 51590, 51006, 51390, 51006, 59732, 50827, 59732, 50838, 50769, 50307, 58914, 50769, 50299, 64125, 51256, 50864, 51590, 50864, 51390, 50864, 59732, 50825, 58858, 50864, 50769, 50307, 68926, 57636, 50825, 57636, 51006, 50769, 50299, 50825, 55369, 57077, 51256, 50827, 51590, 50827, 51390, 50827, 50769, 50307, 62495, 64168, 51006, 64168, 51172, 50769, 50299, 50825, 55369, 50825, 52478, 51256, 50827, 51590, 50827, 51390, 50827, 55369, 50825, 50769, 50307, 55470, 54641, 51006, 59732, 50825, 59732, 51006, 50769, 50299, 50825, 55369, 52641, 50769, 50307, 54889, 54103, 51006, 59732, 50825, 56287, 51172, 50769, 50299, 50825, 55369, 56446, 54641, 50864, 59732, 50825, 55369, 62969, 54103, 51006, 51256, 51006, 51590, 51006, 51390, 51006, 59732, 50933, 59732, 50838, 55369, 50825, 50769, 50307, 66880, 54641, 50827, 50769, 50299, 50825, 55369, 59361, 51256, 50864, 51590, 50864, 51390, 50864, 59732, 50825, 58858, 50864, 50769, 50307, 62970, 54103, 51006, 57636, 50825, 57636, 51006, 50769, 50299, 50825, 55369, 57098, 51256, 50864, 51590, 50864, 51390, 50864, 50769, 50307, 53176, 54641, 50864, 64168, 51006, 64168, 51172, 50769, 50299, 50825, 55369, 50825, 76308, 50933, 51590, 50933, 51390, 50933, 55369, 50825, 50769, 50307, 54202, 54641, 51006, 59732, 50825, 59732, 51006, 50769, 50299, 50825, 55369, 55983, 50769, 50307, 63074, 51831, 51006, 59732, 50825, 56287, 51172, 50769, 50299, 50825, 55369, 59277, 52376, 51006, 59732, 50825, 55369, 59051, 52770, 51006, 51256, 51006, 51590, 51006, 51390, 51006, 59732, 50933, 59732, 50838, 55369, 50825, 50769, 50307, 64524, 54103, 50827, 50769, 50299, 50825, 55369, 53114, 51256, 50864, 51590, 50864, 51390, 50864 ]
[ 0, 250, 15352, 30054, 1619, 3495, 2214, 4246, 13305, 6, 21979, 8669, 6, 6755, 12547, 6, 38668, 22052, 6, 8, 21979, 9590, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 2351, 10, 1372, 8, 19448, 5466, 19, 33558, 223, 34693, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50796, 73545, 52445, 55746, 51154, 50911, 53733, 51388, 55014, 51173, 51783, 51388, 50427, 51201, 51100, 50431, 51088, 55214, 51182, 51060, 53370, 50893, 55931, 50893, 51555, 51388, 50437, 51113, 78590, 51284, 51060, 58714, 51158, 53818, 51060, 51584, 51388, 50443, 51093, 68247, 51304, 51121, 59327, 51173, 53511, 51192, 51567, 51388, 50447, 51289, 69458, 64069, 66070, 51107, 51158, 54638, 51173, 51612, 51388, 51289, 65449, 51384, 51100, 50455, 63597, 65847, 51201, 50967, 51690, 51177, 55014, 51175, 52037, 51388, 51289, 50821, 54389, 51059, 50868, 51091, 51266, 51161, 72467, 51585, 56140, 51585, 52033, 51151, 73789, 51711, 51151, 52075, 52369, 63277, 55456, 56169, 72075, 50942, 50877, 51158, 50876, 51175, 51027, 50991, 51279, 51253, 50415, 51733, 51538, 50420, 67519, 70696, 51032, 54954, 50918, 65745, 50822, 68575, 50426, 50909, 66692, 55115, 51740, 50383, 52127, 50877, 52559, 50998, 62874, 50849, 78029, 51216, 61740, 50991, 53005, 56095, 51027, 51008, 50916, 51412, 50877, 58835, 57222, 51493, 59579, 55115, 51740, 52542, 50822, 51279, 51124, 50443, 51027, 64990, 67519, 66906, 51032, 56291, 51091, 64968, 50874, 50916, 75355, 51131, 50912, 51216, 51054, 67265, 51304, 51177, 51093, 51060, 53511, 51175, 59327, 51158, 51567, 76911, 51029, 51782, 51024, 57649, 69539, 59349, 50998, 62874, 50873, 51032, 57750, 50795, 51733, 51121, 51266, 51100, 72467, 51173, 56140, 50806, 52075, 62003, 52542, 72075, 50891, 50877, 50870, 50876, 50828, 64752, 51115, 51261, 51274, 51107, 51336, 54638, 51527, 64069, 51196, 51743, 51397, 51863, 51397, 51838, 51397, 63277, 51740, 52079, 59844, 70606, 51294, 51234, 51191, 78738, 51291, 51384, 51127, 51612, 51527, 50420, 71658, 51064, 50873, 51067, 55664, 51291, 51340, 52127, 51050, 58938, 50939, 51291, 50816, 51029, 51782, 51024, 52079, 64912, 53627, 60918, 51064, 50805, 51067, 50805, 51261, 50936, 53005, 55718, 64912, 63336, 74360, 58566, 56140, 51551, 72467, 51356, 52225, 51134, 52075, 75362, 50986, 51477, 51150, 51566, 50868, 51112, 51733, 51127, 51266, 51336, 51615, 51115, 51711, 59084, 51059, 51718, 51024, 50381, 52127, 70489, 50861, 51192, 50876, 52297, 50292, 51204, 51026, 51241, 50439, 50885, 63322, 65738, 78029, 51292, 57486, 50865, 51718, 51035, 72075, 70269, 51150, 66282, 61024, 51059, 51718, 51024, 50381, 52127, 50861, 65651, 65738, 65063, 51292, 50805, 51782, 52127, 50876, 59700, 51690, 51359, 63597, 51655, 52037, 52208, 58700, 51189, 51140, 51573, 50885, 51091, 51201, 51655, 55014, 51655, 51743, 51047, 78282, 51711, 60881, 50824, 51782, 51024, 52542, 57035, 51111, 51247, 60268, 51091, 51050, 51204, 50876, 51204, 50900, 78264, 77661, 70696, 51032, 57045, 51291, 65745, 53881, 50850, 53030, 55115, 51740, 56095, 50871, 57356, 50970, 62874, 50849, 51032, 50812, 51140, 73953, 51428, 51052, 52542, 52729, 51246, 51124, 52157, 51932, 50939, 51091, 51743, 51397, 51863, 51397, 51838, 66099, 51029, 51782, 51024, 50384, 52127, 50871, 51192, 51234, 61849, 78167, 51191, 50906, 51362, 50444, 63960, 51064, 50879, 51067, 57172, 51091, 51782, 51035, 54004, 51246, 50995, 50872, 61024, 51029, 51782, 51024, 50381, 52127, 50871, 51111, 50451, 52157, 51603, 50456, 66703, 51067, 59183, 50865, 65745, 56054, 50970, 50829, 58700, 50873, 61416, 57304, 51032, 50805, 51140, 51354, 50885, 50967, 78871, 68650, 51743, 50845, 51656, 50845, 51711, 50845, 52615, 50966, 51331, 55400, 72474, 57449, 71228, 51519, 50285, 51242, 51050, 51111, 50877, 70756, 53124, 55632, 52182, 57577, 52155, 50911, 50446, 51752, 56325, 51326, 55230, 51326, 53532, 51596, 54353, 51289, 56575, 51606, 51021, 50459, 51289, 50803, 59007, 51091, 52033, 51422, 51656, 51714, 51711, 51714, 63277, 55456, 57654, 50833, 50916, 51162, 51279, 72944, 51091, 50877, 51362, 50876, 51364, 50968, 50983, 50415, 65206, 51789, 51352, 50419, 50946, 51605, 50420, 67519, 58993, 51032, 54954, 60194, 52542, 53450, 50909, 51091, 51089, 68851, 68230, 53825, 55115, 52542, 72075, 58443, 50998, 62874, 50873, 78029, 51216, 50976, 50868, 51091, 53005, 53229, 50833, 50877, 78493, 54233, 50850, 58747, 51029, 65745, 50833, 50916, 51233, 50877, 69797, 51362, 50968, 51091, 51279, 51134, 50439, 51493, 51566, 50444, 66286, 66906, 51032, 57750, 50983, 65745, 50854, 51027, 63112, 51131, 51252, 51216, 51566, 50868, 51112, 51089, 68851, 68230, 55579, 51300, 51782, 52127, 50916, 57924, 51606, 58133, 66286, 66906, 51032, 55792, 50795, 65745, 50833, 50916, 61299, 67661, 50839, 50968, 54370, 51789, 51033, 64752, 51283, 50872, 51091, 51037, 51036, 51743, 51714, 51863, 51714, 51838, 73332, 50824, 64968, 60263, 51162, 50906, 51345, 50902, 51112, 51234, 74333, 67697, 51261, 51054, 51596, 52115, 77661, 51064, 50901, 51067, 60014, 50807, 51340, 52127, 50423, 51596, 51661, 50426, 51007, 72677, 50851, 78258, 51185, 55897, 51029, 51782, 52127, 50902, 51124, 50871, 51377, 50906, 70705, 77661, 51064, 50873, 51067, 50873, 51261, 62898, 50983, 53005, 53229, 51568, 50302, 76013, 51246, 51542, 51140, 51054, 50939, 56426, 51331, 53229, 50844, 51234, 64966, 71658, 51064, 50901, 51067, 66362, 50983, 51718, 52127, 76518, 50997, 51162, 50447, 52315, 58631, 51261, 51090, 50939, 72677, 50851, 51193, 50810, 51185, 55182, 50993, 65745, 64912, 68995, 50873, 50452, 51596, 50921, 50455, 50871, 53875, 77661, 51064, 50873, 51067, 57045, 50795, 65745, 62474, 52315, 51033, 58700, 51310, 51140, 51090, 51752, 51696, 51743, 53295, 51656, 53295, 51711, 51452, 63277, 58515, 61858, 51121, 51247, 66920, 58835, 51800, 50297, 60413, 77661, 66309, 51032, 74049, 55541, 52959, 52542, 64312, 53172, 73484, 51118, 50984, 76087, 51023, 52704, 52448, 52542, 57035, 53860, 71658, 70696, 65063, 51140, 58149, 52221, 51052, 52542, 51568, 50297, 50851, 50876, 70651, 70866, 59306, 51504, 51318, 51461, 55868, 51091, 53511, 51354, 51711, 74903, 55115, 52542, 50822, 51247, 69641, 51164, 51291, 50443, 51838, 77683, 71658, 61498, 51032, 54879, 51091, 54638, 51388, 65745, 54004, 50909, 50983, 51118, 50851, 51061, 66271, 50833, 51711, 51036, 50816, 51029, 65745, 62939, 51461, 51603, 53511, 51735, 50456, 71658, 58993, 51032, 56204, 51291, 51782, 52127, 51050, 51351, 50461, 51743, 51264, 58700, 51418, 50297, 51036, 53733, 54055, 63277, 52542, 50854, 51247, 51159, 50900, 51013, 50415, 51140, 51573, 50420, 69463, 58993, 51032, 56219, 51091, 65745, 61858, 63559, 68456, 51118, 50912, 51061, 68851, 55182, 55115, 52542, 76146, 58027, 53124, 51021, 50431, 51050, 51446, 50432, 77661, 66906, 51032, 55664, 50983, 53005, 56095, 50871, 50870, 50900, 50917, 50433, 51140, 51030, 50434, 52182, 52877, 51504, 51387, 51461, 51054, 50850, 56426, 55115, 52542, 61858, 63700, 51221, 50876, 51400, 51247, 51003, 50439, 52155, 57816, 71658, 66906, 65063, 64968, 50874, 50900, 50866, 50445, 50909, 51091, 50446, 51752, 65458, 51504, 51737, 51140, 51603, 75707, 51118, 50851, 51061, 68851, 54384, 51029, 51782, 51035, 59844, 65601, 51606, 57830, 50970, 62874, 50873, 51032, 55664, 51370, 52542, 59844, 63864, 78954, 54943, 51565, 51014, 62954, 52347, 50301, 51358, 52033, 51714, 51656, 51714, 51711, 51714, 63277, 52542, 72075, 64514, 51175, 50876, 51215, 50968, 51095, 51279, 51115, 51027, 50983, 50415, 52419, 51059, 68456, 50416, 51789, 66645, 65026, 61498, 60265, 51340, 52127, 65200, 50421, 50868 ]
[ 0, 250, 32076, 8, 15352, 30054, 3495, 2214, 19, 4785, 9, 3152, 6, 4246, 10, 2382, 3459, 8669, 6, 2724, 368, 31365, 25999, 6, 326, 5638, 18026, 6, 13305, 6, 8, 21979, 8669, 4, 20, 2125, 16, 278, 11, 381, 538, 6, 19, 10, 33215, 16739, 9, 381, 6, 83, 6, 163, 406, 6, 381, 6, 8, 83, 4, 85, 11498, 10, 182, 1769, 20889, 9, 27965, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 6, 2351, 41, 17627, 17274, 8, 33558, 5466, 1328, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 67004, 50799, 52124, 50858, 51282, 50821, 51011, 67366, 55456, 51620, 52124, 51030, 51282, 51138, 77501, 51815, 56832, 52841, 52124, 50950, 51401, 51907, 53365, 50439, 51019, 51364, 50450, 52124, 50936, 51401, 50924, 52636, 53820, 51815, 50936, 52066, 50799, 52124, 50858, 52473, 50821, 51011, 50983, 51976, 51620, 52124, 51021, 52473, 50948, 77501, 51763, 54444, 52841, 52124, 50858, 51815, 62416, 51745, 52957, 58350, 52473, 69225, 51815, 52741, 52047, 52218, 56619, 50454, 54110, 50821, 51453, 64479, 52124, 50821, 50799, 52124, 72625, 50950, 51011, 51115, 51976, 51620, 52124, 50936, 51282, 51030, 77501, 51815, 57036, 52841, 52124, 50950, 51401, 53474, 53365, 50439, 51019, 51364, 50450, 52124, 50936, 51401, 51030, 52636, 53820, 51815, 50936, 52066, 50799, 52124, 50859, 52473, 50950, 51011, 50983, 51976, 51620, 52124, 50948, 52473, 51030, 77501, 51763, 54444, 52841, 52124, 50859, 51815, 62416, 51745, 52957, 62691, 50822, 51572, 73479, 52473, 57565, 51553, 58638, 51815, 53153, 52047, 53558, 79365, 55801, 61481, 54110, 50821, 51453, 64479, 52124, 50858, 71412, 50936, 52394, 51021, 52124, 51227, 51027, 51717, 51355, 50817, 51011, 67366, 55456, 56025, 50946, 61912, 53084, 50948, 54727, 51030, 50425, 51040, 55428, 50426, 53084, 50948, 54727, 50936, 51282, 50882, 51495, 73235, 51243, 50850, 50905, 51892, 50427, 51355, 53644, 52194, 50924, 52394, 55271, 59628, 50850, 51291, 50434, 50868, 52147, 50438, 52194, 51012, 52394, 51021, 51815, 51932, 51355, 52279, 53365, 50439, 51217, 51655, 51019, 51364, 50444, 54006, 50936, 53580, 58138, 54006, 51021, 53580, 50936, 51282, 50936, 51495, 50936, 52636, 53820, 53084, 50948, 54727, 50936, 51355, 50910, 52066, 50457, 50850, 51103, 50868, 54071, 50799, 54006, 51030, 53580, 50936, 52124, 51227, 50946, 51009, 51011, 50983, 51976, 56025, 50868, 53280, 50420, 53084, 50948, 54727, 63446, 54006, 50948, 53580, 50948, 51282, 50803, 51495, 73235, 61211, 51355, 51464, 53193, 53084, 50936, 54727, 65396, 51551, 50791, 59628, 50868, 71113, 54006, 51227, 53580, 51500, 51815, 71987, 51127, 51217, 51103, 51355, 50823, 51019, 51745, 52957, 55900, 50946, 52263, 50449, 51659, 52802, 52148, 50936, 53880, 50936, 51282, 50948, 51495, 51030, 57870, 50451, 50877, 74323, 52148, 50936, 53880, 73183, 51496, 50850, 55363, 53024, 52066, 50799, 54006, 50936, 53580, 50936, 52124, 50980, 51027, 51717, 50946, 51184, 51011, 51115, 51976, 56025, 50868, 52379, 50850, 61017, 51355, 75832, 52148, 50948, 53880, 50924, 50425, 51040, 55428, 50426, 54006, 51030, 53580, 51021, 51282, 50821, 51495, 76073, 51243, 51355, 51041, 53193, 54006, 51138, 53580, 54444, 52841, 53572, 50923, 52491, 50948, 52124, 51021, 51355, 52865, 53365, 50439, 51217, 51359, 51019, 51364, 50444, 52488, 51138, 52228, 51030, 51815, 60919, 54006, 50948, 53580, 50936, 51282, 50938, 51495, 50936, 51262, 54169, 56619, 50455, 50850, 53380, 50456, 53084, 50911, 54727, 73183, 51496, 51355, 51014, 52066, 50799, 54006, 50805, 53580, 50806, 52124, 50980, 50946, 51184, 51011, 50983, 51976, 56025, 50868, 79422, 51282, 50859, 51495, 73623, 61211, 51355, 51464, 53193, 51401, 54444, 52841, 51815, 57704, 51127, 51355, 50823, 51019, 51745, 52957, 55900, 51217, 57310, 52148, 50936, 53880, 51138, 51282, 63233, 53192, 51932, 51978, 51227, 51495, 50936, 51262, 53669, 56619, 50451, 50877, 74323, 51495, 51496, 51061, 51274, 52066, 50799, 55495, 50924, 52891, 50936, 51763, 51227, 51171, 51184, 50927, 51115, 51976, 56025, 51120, 51295, 50946, 52379, 50848, 61017, 51195, 75832, 53192, 50936, 51978, 54919, 55495, 50936, 52891, 73561, 50858, 51268, 50821, 51195, 51041, 60092, 51027, 67047, 57123, 55495, 50865, 52891, 54444, 52841, 55495, 50980, 52891, 50980, 52124, 51227, 51195, 52865, 53365, 50439, 51688, 51359, 51069, 51364, 50450, 55495, 51138, 52891, 50936, 71830, 51268, 52545, 50301, 58871, 51166, 51436, 54169, 56619, 50455, 50848, 53380, 50456, 55495, 50938, 52891, 51030, 51495, 51496, 51061, 51274, 51195, 51014, 52066, 50799, 53572, 50936, 52491, 51021, 51763, 51345, 51171, 51184, 50927, 50983, 51976, 56025, 50946, 71785, 55495, 51030, 52891, 58292, 53192, 50865, 51978, 73561, 50858, 51268, 50821, 51027, 50923, 51195, 51464, 60092, 50899, 55544, 55495, 50924, 52891, 56832, 52841, 53572, 50980, 52491, 51227, 52124, 51112, 51195, 50823, 51069, 51745, 52957, 55900, 51688, 51009, 50449, 51086, 55038, 52488, 50936, 52228, 73561, 50948, 51268, 53275, 50301, 50948, 51436, 53669, 56619, 50451, 50899, 77403, 52148, 50924, 53880, 51021, 51495, 51496, 51061, 51274, 52066, 50799, 55495, 50936, 52891, 50924, 51763, 51932, 51171, 51184, 51195, 50817, 50927, 51115, 51976, 56025, 51120, 51295, 50946, 52379, 50848, 61017, 50420, 53192, 51030, 51978, 57327, 55495, 50936, 52891, 73561, 50821, 51268, 51049, 60092, 51027, 67047, 51166, 51195, 53644, 55495, 50879, 52891, 54444, 52841, 55235, 51030, 52172, 51030, 52124, 50936, 51195, 52279, 53365, 50439, 51688, 51359, 51069, 51364, 50444, 53572, 50948, 52491, 50936, 51282, 55178, 55495, 51345, 52891, 51932, 51083, 50936, 51268, 51919, 50301, 58871, 51166, 57870, 50455, 50848, 53380, 50456, 51495, 51496, 51061, 51274, 51195, 50910, 52066, 73230, 50896, 52228, 51054, 51763, 50980, 51171, 51184, 50927, 50983, 51976, 56025, 50946, 79422, 51282, 50821, 51083, 50821, 51268, 50821, 51027, 50923, 51195, 51464, 60092, 50899, 50974, 51361, 52841, 52124, 50938, 51195, 50823, 51069, 51745, 52957, 55900, 51688, 57310, 51282, 50948, 50449, 51086, 51129, 51545, 52802, 71830, 51268, 51710, 50301, 50948, 57870, 50451, 50899, 77403, 52058, 51138, 58381, 50924, 51495, 51274, 51020, 51274, 52066, 50799, 55495, 50936, 52891, 50924, 51815, 51603, 51315, 51717, 51019, 51115, 51976, 56025, 51217, 51184, 51350, 75832, 55504, 50936, 52656, 51030, 50425, 51176, 55428, 50426, 55495, 50936, 52891, 50865, 51083, 50882, 51281, 50882, 51086, 51243, 50868, 50905, 51350, 51041, 53193, 55495, 50948, 52891, 53710, 59628, 50868, 51291, 50434, 51042, 52147, 50438, 55495, 50936, 52891, 50936, 54110, 51030, 51350, 52865, 53365, 50439, 51791, 51655, 51205, 51364, 50444, 55504, 50936, 52656, 51030, 51595, 58111, 55495, 51138, 52891, 50948, 51083, 50948, 51281, 50924, 51223, 54169, 51373, 53820, 55504, 50936, 52656, 50936, 51495, 51274, 51020, 51274, 51350, 51014, 52066, 50457, 50868, 51103, 51042, 54071, 50799, 55495, 50936, 52891, 51030, 51815, 50980, 51217, 51009, 51019, 50983, 51976, 56025, 51042, 53280, 50420, 55504, 50936, 52656, 66890, 55495, 50865, 52891, 50948, 51083, 50806, 51281, 53194, 50303, 61211, 51350, 51464, 53193, 55504, 51021, 52656, 50865, 50868, 51551, 50791, 59628, 51042, 71113, 53572, 51090, 52491, 50896, 54110, 70717, 51127, 51791, 51103, 51350, 50823, 51205, 51745, 52957, 55900, 51217, 52263, 50444, 51595, 58111, 51083, 50948, 51281, 50924, 51223, 53669, 56619, 50451, 50916, 74323, 53572, 51138, 52491, 51030, 51495, 51274, 51020, 51274, 50868, 69297, 53024, 52066, 50799, 55495, 50936, 52891, 50948, 51815, 51603, 51315, 51717, 51019, 51115, 51976, 56025, 51217, 51184, 51350, 75832, 55504, 50865, 52656, 50936, 50425, 51176, 55428, 50426, 55495, 50948, 52891, 51030, 51083, 50894, 51281, 50882, 51086, 51243, 50868, 50905, 51350, 51041, 53193, 53572, 50936, 52491, 56832, 59628, 50868, 51291 ]
[ 0, 250, 765, 6, 20425, 37903, 9, 15855, 930, 11, 163, 428, 3694, 6, 4246, 10, 881, 13931, 9, 274, 6, 163, 43531, 6, 8, 2060, 40286, 6, 278, 11, 10, 20902, 204, 73, 306, 86, 6543, 19, 10, 12701, 4450, 20889, 6, 7630, 14805, 10, 3344, 9, 11098, 8, 15073, 10686, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 50871, 50991, 50422, 51234, 51620, 50997, 51646, 50997, 53658, 51234, 51757, 50989, 51923, 50871, 51091, 56020, 51234, 51620, 50997, 51646, 50997, 59830, 51234, 51757, 50871, 51923, 50989, 51091, 56020, 51197, 51620, 50989, 51646, 50989, 59830, 51197, 51757, 50989, 51923, 50871, 51091, 56020, 51360, 51620, 55179, 50434, 51360, 51724, 55179, 50446, 51360, 51757, 50989, 51923, 50871, 51091, 56020, 51234, 51620, 50997, 51646, 50997, 53658, 51234, 51757, 50989, 51923, 50871, 51091, 56020, 51234, 51620, 50997, 51646, 50997, 59830, 51234, 51757, 50871, 51923, 50989, 51091, 56020, 51197, 51620, 50989, 51646, 50989, 59830, 51197, 51757, 50989, 51923, 50871, 51091, 56020, 51360, 51620, 55179, 50434, 51360, 51724, 55179, 50446, 51360, 51757, 50989, 60278, 50871, 56388, 50956, 50800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 20902, 5175, 2214, 11, 272, 538, 1575, 10, 15352, 30054, 3222, 5785, 227, 6755, 12547, 6, 20535, 2810, 6, 13305, 6, 8, 81, 9756, 8669, 6, 23396, 30, 20425, 21072, 4, 590, 10, 748, 1879, 15525, 20889, 9, 24621, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 32076, 8, 14899, 6711, 6, 442, 24, 10686, 13, 6548, 50, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 53028, 55130, 72086, 50895, 51302, 51130, 73247, 58802, 73177, 50895, 51570, 55130, 69824, 58802, 72082, 50895, 51382, 51130, 70896, 51587, 50883, 51453, 60203, 51587, 59363, 51587, 50883, 53028, 55130, 72808, 51587, 67385, 61710, 51587, 62518, 51587, 50883, 51302, 51130, 79506, 50895, 51570, 55130, 74510, 50895, 51382, 51130, 50961, 51453, 50895, 53028, 55130, 72086, 50895, 51302, 51130, 73247, 58802, 73177, 50895, 51570, 55130, 69824, 58802, 72082, 50895, 51382, 51130, 70896, 51587, 50883, 51453, 60203, 51587, 59363, 51587, 50883, 53028, 55130, 72808, 51587, 67385, 61710, 51587, 62518, 51587, 50883, 51302, 51130, 79506, 50895, 51570, 52816, 50961, 51180, 50895, 51382, 51130, 54450, 59425, 50895, 52198, 50961, 72721, 52017, 51434, 52017, 51440, 52017, 51607, 51469, 51874, 50821, 53477, 50879, 52055, 51865, 56051, 51874, 50821, 51530, 52201, 53516, 51874, 50821, 53706, 53543, 51130, 54562, 51874, 50821, 51530, 52201, 54292, 51874, 50821, 53477, 53417, 54749, 54586, 51874, 50821, 51530, 52201, 53595, 51874, 50821, 53706, 53543, 51130, 54450, 51874, 50821, 51530, 52201, 50895, 79053, 51469, 51669, 51469, 52327, 51469, 52257, 51469, 52020, 50821, 53477, 53417, 55130, 54892, 52020, 50821, 51810, 52201, 53516, 52020, 50821, 53706, 53543, 51130, 73247, 58802, 52975, 52020, 50821, 51810, 52201, 54292, 52020, 50821, 53477, 53417, 55130, 69824, 58802, 53675, 52020, 50821, 51810, 52201, 53595, 52020, 50821, 53706, 53543, 51130, 70896, 51587, 53563, 52020, 50821, 51810, 52201, 60203, 51587, 59363, 51587, 50883, 79053, 50883, 52043, 51585, 52257, 51585, 52246, 50821, 53477, 53417, 55130, 72808, 51587, 53336, 52246, 50821, 51403, 52201, 61710, 51587, 62518, 51587, 53087, 52246, 50821, 53706, 53543, 51130, 54562, 52246, 50821, 51403, 52201, 54292, 52246, 50821, 53477, 53417, 55130, 54586, 52246, 50806, 51403, 52201, 53595, 51669, 51055, 52257, 53898, 52246, 50883, 53706, 53543, 51130, 54450, 52246, 50821, 51403, 52201, 50895, 73471, 51469, 51669, 51469, 52246, 50821, 53477, 53417, 55130, 54892, 52246, 50821, 51403, 52201, 53516, 52246, 50821, 53706, 53543, 51130, 73247, 58802, 52975, 52246, 50821, 51403, 52201, 54292, 52246, 50821, 52110, 53417, 55130, 69824, 58802, 53675, 52246, 50821, 51403, 52201, 53595, 52246, 50821, 53706, 50879, 53929, 51158, 55737, 50961, 53061, 66222, 51587, 53563, 52246, 50821, 51403, 50805, 57210, 56285, 65083, 51587, 50883, 79053, 51469, 52043, 51469, 52327, 51469, 52246, 50821, 58233, 51227, 71329, 53336, 52246, 51575, 53516, 52246, 50883, 58233, 54581, 51130, 54562, 52246, 51575, 61361, 55462, 55122, 52246, 50883, 58233, 76714, 55130, 54586, 52246, 54196, 53595, 52246, 50921, 58233, 54581, 51130, 70896, 55462, 55416, 52246, 51508, 50895, 79053, 51469, 52043, 51469, 53335, 51196, 52246, 50821, 58233, 53734, 55130, 54892, 52246, 50921, 57210, 53734, 53516, 52246, 50821, 58233, 51173, 55737, 54562, 52246, 50821, 55462, 65086, 54292, 53335, 50806, 52246, 51508, 55130, 54586, 54797, 50806, 52246, 51508, 53595, 53335, 50806, 52246, 50921, 53929, 54593, 51130, 70896, 57210, 64713, 54797, 50806, 52246, 51508, 50895, 73471, 51469, 51607, 50883, 52257, 51469, 52246, 50821, 58233, 73262, 55130, 54892, 52246, 54196, 53516, 52246, 50821, 58233, 54581, 51130, 54562, 52246, 50821, 55462, 53417, 54292, 52246, 50821, 58233, 53734, 55130, 54586, 52246, 50821, 57210, 53417, 61925, 58233, 65399, 52246, 52997, 51130, 54450, 52246, 50821, 55462, 51941, 58005, 79053, 51469, 52043, 51469, 54050, 51055, 52246, 51508, 55130, 54892, 52246, 54196, 53516, 54050, 51192, 52246, 52997, 51130, 54562, 54797, 50806, 52246, 51508, 54292, 54050, 51192, 52246, 54196, 55130, 54586, 54797, 50806, 52246, 54196, 53595, 54050, 50806, 52246, 52997, 51130, 60376, 53929, 58603, 54797, 50806, 52246, 50821, 55462, 53417, 50895, 50799, 51808, 51469, 51607, 50883, 52257, 51469, 51874, 50821, 55668, 73262, 55130, 54892, 51874, 51575, 53516, 51874, 50883, 55668, 53543, 51130, 54562, 51874, 50821, 54505, 53417, 54292, 51874, 50821, 55668, 55637, 55130, 54586, 51874, 51575, 53595, 51874, 50883, 55668, 53543, 51130, 54450, 51874, 50821, 54505, 53417, 50895, 50799, 51808, 51469, 51669, 51469, 52257, 51469, 51874, 50821, 55668, 53734, 55130, 54892, 51874, 50921, 55462, 53417, 53516, 51874, 50821, 55668, 51173, 55737, 54562, 51874, 51508, 61361, 55668, 51472, 50438, 51874, 51508, 55130, 54586, 51874, 51575, 53595, 51874, 53479, 51130, 54450, 51874, 50921, 54505, 53538, 50895, 79053, 51469, 52327, 51469, 52257, 51469, 51874, 51508, 55130, 72922, 54505, 51158, 50420, 51874, 51508, 55893, 55462, 72598, 51874, 50921, 55737, 73247, 54505, 70192, 51874, 51508, 54292, 51874, 51508, 55130, 64916, 55462, 66442, 51874, 54196, 66119, 53929, 55149, 51874, 52997, 51130, 54450, 51874, 50821, 53929, 51933, 58005, 73471, 51196, 51808, 51196, 52043, 51196, 52429, 51508, 55130, 54892, 52429, 54196, 53516, 52429, 52997, 51130, 54562, 52429, 51575, 54292, 51929, 51196, 51808, 51196, 52043, 51196, 52429, 51041, 55130, 54586, 52429, 54196, 53595, 52429, 50821, 53929, 54593, 51130, 70896, 57210, 64713, 52429, 59141, 50961, 79053, 51469, 52043, 51469, 52327, 51469, 52246, 50821, 58233, 51013, 71329, 56051, 52246, 51508, 53516, 52246, 52997, 51130, 60760, 58233, 55214, 52246, 50806, 55462, 53417, 54292, 52246, 50883, 58233, 60181, 55130, 54586, 52246, 51508, 53595, 52246, 50821, 58233, 53543, 51130, 54450, 52246, 50921, 55462, 51158, 58005, 79053, 51469, 52043, 51469, 53335, 51196, 52246, 51508, 55130, 58410, 58233, 56179, 52246, 51508, 63754, 57210, 57316, 52246, 50821, 58233, 53543, 51130, 54562, 52246, 50821, 55462, 74120, 54292, 53335, 50806, 52246, 51508, 55130, 54586, 54797, 50806, 52246, 51508, 53595, 53335, 50806, 52246, 52997, 51130, 60376, 53929, 58603, 54797, 50806, 52246, 50821, 57210, 53417, 50895, 73471, 51469, 51607, 50883, 52257, 51469, 52246, 50821, 58233, 55637, 55130, 54892, 52246, 51575, 53516, 52246, 50883, 58233, 53543, 51130, 54562, 52246, 50821, 55462, 53417, 54292, 52246, 50921, 58233, 53417, 55130, 54586, 52246, 50821, 57210, 53417, 53595, 52246, 50821, 58233, 53543, 51130, 54450, 52246, 50821, 55462, 51977, 58005, 79053, 51469, 52043, 51469, 54050, 51055, 52246, 51508, 55130, 54892, 52246, 51508, 53516, 54050, 50936, 52246, 52997, 51130, 54562, 54797, 50806, 52246, 54196, 54292, 54050, 50806, 52246, 54196, 55130, 54586, 54797, 50806, 52246, 59141, 55254, 54050, 50806, 52246, 50821, 53929, 54593, 51130, 54450, 54797, 50806, 52246, 50921, 55462, 51173, 50852, 50961, 50799, 51808, 51469, 51607, 50883, 52257, 51469, 51874, 52589, 68673, 58842, 55668, 66403, 51874, 54196, 53516, 51874, 50821, 55668, 54593, 51130, 54562, 51874, 50921, 54505, 51370, 54292, 51874, 50821, 55668, 76714, 55130, 54586, 51874, 51575, 53595, 51874, 50883, 55668, 53543, 51130, 54450, 51874, 50821, 54505, 53734, 50895, 50799, 51808, 51469, 51669, 51469, 52257, 51469, 51874, 50821, 55668, 53417, 55130, 54892, 51874, 50921, 55462, 53538, 61953, 55668, 70266, 51874, 50921, 55737, 54562, 51874, 50821, 55668, 76909, 54292, 51874, 51508, 55130, 54586, 51874, 51508, 53595, 51874, 52997, 51130, 70896, 54505, 64713, 51874, 54196, 50895, 79053, 51469, 52327, 51469, 52257, 51469, 51874, 50821, 54505, 58415 ]
[ 0, 713, 14899, 3495, 2214, 6, 19, 10, 11602, 9, 19834, 2712, 6, 22750, 1626, 11098, 8, 10, 2365, 6, 33558, 16464, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 3459, 8669, 6, 21072, 6, 326, 5638, 18026, 6, 8, 2724, 368, 31365, 25999, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 132, 73, 176, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 11061, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 211, 6, 163, 119, 6, 8, 272, 35315, 1328, 5, 2125, 6, 1271, 7, 63, 33200, 8, 17627, 17274, 2574, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 50799, 51322, 52570, 51209, 52570, 51590, 52570, 51098, 52570, 52078, 52570, 51598, 53501, 51250, 52024, 51780, 52024, 51410, 51717, 51231, 51717, 51672, 76274, 60322, 51104, 55171, 52710, 53459, 50806, 51979, 52309, 53459, 50879, 51979, 55122, 53459, 50805, 51979, 52815, 53459, 50896, 51979, 57024, 53459, 50806, 51979, 50806, 50799, 55235, 51090, 52172, 67566, 53459, 50893, 51979, 55214, 53459, 51896, 51979, 51896, 50799, 51912, 52570, 51366, 52570, 51209, 52570, 51493, 52570, 51984, 52570, 51860, 52570, 51350, 52024, 51250, 52024, 52571, 51717, 51465, 51717, 51231, 76274, 60322, 51104, 53220, 53459, 50858, 51979, 57781, 53459, 50821, 51979, 52686, 53459, 50795, 51979, 51646, 53459, 50806, 51979, 52692, 53459, 51294, 51979, 51294, 50459, 53459, 50859, 51979, 50859, 50799, 55235, 50896, 52172, 53765, 53459, 50893, 51979, 55214, 53459, 51685, 51979, 51685, 50799, 51366, 52570, 51209, 52570, 51334, 52570, 51150, 52570, 52241, 54430, 51250, 52024, 51536, 52024, 51476, 51717, 51465, 51717, 51231, 76274, 60322, 51104, 54711, 53459, 50806, 51979, 52247, 53459, 50806, 51979, 52309, 53459, 50923, 51979, 58395, 53459, 51274, 51979, 51274, 50456, 53459, 50923, 51979, 50923, 50799, 60118, 50806, 53319, 52774, 53459, 50795, 51979, 51631, 55235, 51585, 52172, 51585, 50799, 51664, 52570, 51322, 52570, 51547, 52570, 51389, 52570, 51507, 54430, 51195, 52024, 51659, 52024, 51410, 51717, 51719, 51717, 51249, 76274, 60322, 51104, 54711, 55495, 50806, 52891, 52247, 55495, 50893, 52891, 55214, 55495, 50911, 52891, 56810, 55495, 50911, 52891, 56646, 55495, 51274, 52891, 51274, 50799, 53459, 50806, 51979, 52774, 53572, 50911, 52491, 56346, 55495, 51585, 52891, 51585, 51955, 51594, 52154, 55603, 50851, 53462, 55475, 55603, 51832, 59626, 53459, 51237, 51979, 51237, 52078, 50896, 51598, 51204, 51250, 51470, 51780, 51006, 51410, 53651, 51231, 53651, 51672, 53651, 50798, 60322, 51104, 55171, 64540, 62759, 56254, 77962, 51590, 50896, 51390, 50896, 51250, 52192, 51780, 50942, 50903, 50882, 51190, 51163, 55603, 54150, 51598, 54923, 51589, 70723, 51832, 50438, 53459, 51090, 51979, 51090, 51389, 50896, 51598, 69281, 60322, 51104, 54478, 51368, 53284, 62759, 56254, 51832, 50450, 51590, 50896, 51390, 50896, 51195, 50359, 51698, 50882, 51190, 51163, 55603, 54622, 51250, 51697, 51780, 54788, 51589, 70723, 51832, 66269, 50896, 51598, 68539, 60322, 51104, 54711, 51250, 51008, 51780, 50959, 51927, 51163, 56254, 77962, 53459, 50893, 51979, 50893, 51590, 51585, 51390, 51585, 51249, 51328, 51457, 51742, 60298, 54692, 55603, 54150, 53459, 50923, 51979, 50923, 51598, 50851, 51672, 66646, 51589, 58188, 51832, 50438, 53459, 50893, 51979, 50893, 51389, 50896, 51598, 51351, 51545, 53280, 51250, 52519, 50798, 51420, 56189, 54478, 53459, 50806, 51979, 50806, 51249, 51233, 59142, 56254, 51832, 50450, 53459, 50806, 51979, 50806, 52078, 50896, 51231, 51177, 60298, 52154, 55603, 54622, 53459, 50806, 51979, 50806, 51598, 57277, 55475, 55603, 51832, 50799, 53572, 50896, 52491, 50896, 51984, 50896, 51860, 51351, 51350, 51142, 51250, 50974, 52571, 51790, 51465, 51790, 51231, 51790, 50798, 60322, 51104, 50851, 51039, 62759, 56254, 77962, 51209, 50896, 51590, 50896, 51350, 51254, 51250, 51174, 50903, 62555, 51163, 55603, 54150, 51860, 53590, 56558, 56558, 51832, 50438, 53572, 50896, 52491, 50896, 51668, 50896, 51860, 51218, 51545, 60386, 60322, 51104, 54478, 51350, 51174, 51250, 51376, 52571, 50942, 51465, 50942, 51231, 50942, 53510, 51163, 56254, 51832, 50450, 51209, 50896, 51590, 64445, 62555, 51163, 55603, 54622, 52413, 50933, 51350, 51058, 51250, 57685, 51589, 70723, 51832, 69899, 50896, 51860, 51204, 52571, 51313, 51465, 51313, 51231, 67531, 60322, 51104, 54711, 51350, 51365, 51250, 51006, 54958, 51163, 56254, 77962, 53572, 50805, 52491, 50805, 51209, 51585, 51590, 51585, 60298, 52154, 55603, 54150, 53572, 50795, 52491, 50795, 51860, 50854, 51545, 53840, 51589, 63713, 51832, 50438, 53572, 50806, 52491, 50806, 51668, 50896, 51860, 51204, 51350, 52136, 51250, 73202, 60322, 51104, 54478, 53572, 50879, 52491, 53417, 50368, 51163, 56254, 51832, 50450, 53572, 50806, 52491, 50806, 51984, 64445, 54429, 55603, 55603, 54622, 53572, 50911, 52491, 50911, 51860, 50800, 51545, 56104, 55475, 55603, 51832, 50799, 53572, 50824, 52491, 50824, 51150, 50896, 52241, 51191, 51250, 51365, 51536, 51058, 52395, 51210, 51476, 51790, 51465, 51790, 51231, 51790, 50798, 60322, 51104, 50851, 51039, 62759, 56254, 77962, 51209, 50896, 51334, 50896, 51250, 51387, 51536, 50972, 52395, 51174, 50903, 62555, 51163, 55603, 54150, 52241, 56411, 51589, 70723, 51832, 50438, 53572, 50896, 52491, 50896, 51098, 50896, 52241, 62343, 60322, 51104, 54478, 51915, 50905, 51476, 50942, 51465, 50942, 51231, 50942, 53510, 51163, 56254, 51832, 50450, 51209, 50896, 51334, 50896, 51350, 50364, 51610, 62555, 51163, 55603, 54622, 52241, 51008, 51250, 51862, 51536, 50933, 52395, 62977, 56558, 56558, 51832, 53788, 50896, 52241, 51679, 51476, 51313, 51465, 51313, 51231, 67531, 60322, 51104, 54711, 51250, 51365, 51536, 50933, 52395, 52854, 62759, 56254, 77962, 53572, 50879, 52491, 50879, 51209, 51585, 51334, 51585, 60298, 52154, 55603, 54150, 53572, 50893, 52491, 50893, 52241, 50812, 51915, 58878, 51589, 70723, 51832, 50438, 53572, 50911, 52491, 50911, 51098, 50896, 52241, 50901, 51250, 54228, 51536, 71732, 60322, 51104, 54478, 53572, 50923, 52491, 50923, 53621, 50905, 53510, 51163, 56254, 51832, 50450, 53572, 50893, 52491, 50893, 51150, 50896, 53973, 50901, 60298, 52154, 55603, 54622, 53572, 50911, 52491, 50911, 53621, 58878, 55475, 55603, 51832, 50799, 55495, 50896, 52891, 50896, 51389, 50896, 51507, 51204, 51195, 51254, 51659, 51006, 51410, 53588, 51719, 53588, 51249, 53588, 50798, 60322, 51104, 50851, 51039, 62759, 56254, 77962, 51547, 50896, 51229, 50896, 51390, 50896, 51195, 51642, 51659, 51172, 50903, 62555, 51163, 55603, 54150, 51507, 52923, 51589, 70723, 51832, 62145, 50896, 51507, 67400, 60322, 51104, 54478, 51482, 51309, 53510, 51163, 56254, 51832, 50450, 51547, 50896, 51229, 50896, 51390, 50896, 51265, 52946, 50903, 62555, 51163, 55603, 54622, 51507, 54897, 56558, 56558, 51832, 56950, 50896, 51507, 51351, 51410, 53588, 51719, 53588, 51249, 53588, 50798, 60322, 51104, 55171, 52871, 51195, 50933, 51659, 50987, 54958, 51163, 56254, 77962, 51547, 50896, 51229, 50896, 51390, 64445, 56823, 51373, 52154, 55603, 55171, 54150, 51507, 53590, 51589, 63713, 51832, 62145, 50896, 51507, 51218, 51195, 51965, 51659, 51397, 52428, 51002, 54984, 55171, 52597, 50804, 55638, 56254, 51832, 52612, 52848, 51547, 50896, 51229, 50896, 51390, 50896, 51389, 55113, 56823, 55309, 55603, 55171, 50851, 52145, 55346, 51785, 55759, 53887, 55603, 50363, 50954, 50822, 52215, 50812, 50799, 53459, 50896, 51979, 50896, 52078, 50896, 51598, 51351, 51250, 51142, 51780, 50974, 51410, 52337, 51231, 52337, 51672, 52337, 50798, 60322, 51104, 55171, 64540, 62759, 56254, 77962, 51590, 50896, 51390, 50896, 51250, 51254, 51780, 51174, 50903, 50882, 51190, 51163, 55603, 54150, 51598, 53590, 51589, 70723, 51832, 50438, 53459, 50896, 51979, 50896, 51389, 50896, 51598, 51218, 51195, 60386, 60322, 51104, 54478 ]
[ 0, 713, 5175, 8, 19834, 9284, 2214, 6, 278, 11, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 1931, 21683, 41, 9066, 8, 25306, 34705, 4, 20, 13305, 6, 20535, 2810, 6, 38668, 11212, 6, 38668, 9590, 6, 8, 31391, 1672, 9590, 283, 561, 7, 1045, 10, 2369, 14, 74, 2564, 6683, 11, 41, 814, 822, 50, 6717, 4, 20, 20889, 16, 10, 20902, 12447, 1001, 6, 2396, 5, 1007, 239, 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 ]	[ 57739, 55094, 51402, 53349, 50982, 53158, 54951, 51320, 53237, 50908, 51694, 51663, 53943, 50798, 51663, 52767, 67178, 55762, 77968, 50908, 51450, 51663, 55604, 50856, 53114, 51320, 51920, 54914, 50798, 51663, 50928, 51899, 54508, 51467, 52990, 53922, 50856, 53556, 51320, 53237, 50891, 53206, 55255, 52995, 50825, 59696, 53110, 50837, 52475, 50887, 51349, 54024, 50856, 50928, 51995, 63356, 52244, 56639, 57404, 52645, 50858, 51374, 52801, 72173, 50870, 52475, 50890, 51349, 50803, 51694, 54508, 51467, 57737, 50825, 51995, 50840, 51137, 53300, 70291, 52645, 50880, 51374, 50803, 51974, 55454, 50820, 52713, 50923, 51416, 54241, 55610, 54973, 50870, 51450, 51663, 50870, 52475, 50930, 51349, 53609, 50856, 59457, 51995, 63356, 50803, 52129, 51139, 52893, 60479, 52645, 50858, 51374, 52911, 72173, 50891, 69799, 51349, 50803, 60560, 52990, 50870, 51995, 50836, 51137, 53532, 50856, 50829, 52645, 50962, 51374, 52163, 50798, 51920, 50891, 52660, 50923, 70193, 53206, 50898, 54973, 50870, 51528, 51663, 52144, 50908, 52645, 50829, 52475, 50930, 51374, 50949, 51349, 79155, 62240, 55454, 51877, 50835, 52713, 50887, 51416, 52244, 50856, 52497, 50982, 52475, 50855, 51349, 52801, 50798, 51663, 53940, 51129, 51995, 50840, 51137, 50803, 59158, 55019, 53940, 51129, 52645, 50930, 51374, 53300, 50856, 60195, 52660, 50809, 51181, 52119, 56639, 54697, 51258, 52587, 50880, 51338, 52674, 50816, 68003, 51437, 53390, 52497, 51004, 52887, 50859, 67306, 51450, 51663, 51909, 56819, 52660, 51010, 51181, 53609, 50856, 52144, 67387, 52632, 50887, 51533, 52284, 51320, 52893, 52132, 50870, 52645, 50962, 51374, 52911, 77968, 51792, 61333, 52887, 50809, 67306, 51899, 51663, 52520, 50928, 51995, 50887, 51137, 53532, 50856, 54697, 51129, 52811, 50890, 51602, 52163, 53804, 51663, 51877, 50835, 52475, 50930, 51349, 52937, 50816, 52990, 52144, 67828, 52887, 50800, 67306, 51528, 51663, 52275, 50825, 53386, 50880, 51684, 54024, 50856, 53637, 51258, 54456, 50809, 52585, 61493, 57737, 52275, 50825, 54813, 50962, 52474, 52801, 50798, 51663, 54697, 51258, 52887, 50890, 67306, 51694, 54508, 53349, 51877, 50835, 56287, 50930, 52993, 53300, 50856, 52520, 50908, 61569, 50930, 54785, 50803, 51974, 52348, 57737, 68697, 56227, 51010, 54144, 52674, 50816, 53390, 52520, 50908, 52887, 50840, 67306, 51450, 51663, 51909, 50825, 53054, 51009, 51957, 51407, 50439, 50770, 50315, 51870, 50441, 65543, 53940, 54406, 50856, 52497, 58355, 51320, 52990, 51877, 58145, 52002, 50890, 51913, 51031, 51648, 50895, 51888, 50961, 51899, 51663, 52132, 61634, 51648, 50930, 51963, 51031, 51888, 51031, 51776, 50961, 53462, 51663, 51877, 50835, 53206, 53333, 55019, 52275, 50825, 61142, 56771, 51648, 51031, 52002, 50961, 51888, 50961, 51913, 50817, 51776, 50818, 51528, 54906, 54508, 76156, 50811, 59931, 50823, 52475, 50962, 51349, 58320, 52537, 50830, 51280, 50950, 51708, 50833, 51402, 53349, 54697, 51258, 51995, 50840, 51137, 60208, 51847, 51010, 51099, 51010, 51888, 51031, 52306, 77844, 51683, 50817, 51776, 51031, 52002, 51031, 53158, 52859, 72592, 51708, 50818, 52645, 50821, 52811, 50834, 51374, 50803, 51602, 56828, 51320, 53237, 52497, 78572, 52475, 50930, 51349, 50811, 51694, 51663, 51877, 50835, 51995, 63356, 54935, 50798, 51663, 52132, 62618, 52645, 50890, 52811, 50834, 51374, 50811, 51602, 54151, 67178, 53940, 51004, 52713, 50923, 51416, 54241, 77968, 52497, 51004, 51450, 51663, 51909, 50825, 52475, 50890, 51349, 55092, 50856, 60195, 51995, 50840, 51137, 52940, 51320, 51920, 52520, 50928, 52645, 50800, 51374, 52911, 50798, 51663, 53940, 51004, 52475, 50930, 51349, 50811, 51899, 54508, 51467, 52990, 51877, 50835, 51995, 50836, 51137, 55552, 50856, 52859, 50982, 51280, 50890, 51708, 50818, 51494, 50828, 52645, 50840, 51374, 52884, 51320, 53237, 52859, 50928, 52660, 50911, 70193, 53206, 55255, 52995, 68697, 52537, 50930, 59696, 53110, 52132, 50370, 79052, 51896, 52475, 50887, 51349, 55804, 50856, 53940, 51129, 52537, 70333, 51995, 50840, 51137, 53213, 56639, 51877, 50835, 52533, 50930, 51708, 50811, 52645, 50859, 52475, 50864, 51374, 50803, 51349, 56299, 72173, 52520, 50928, 51280, 50940, 69799, 51349, 50811, 51694, 54508, 51467, 57737, 68697, 51232, 50925, 51847, 50940, 51995, 50887, 51137, 54935, 50856, 52859, 50982, 52645, 50858, 51374, 58874, 51869, 50811, 51974, 55454, 51877, 50835, 52533, 68487, 52713, 50923, 51416, 54241, 55610, 54973, 52520, 50928, 52537, 64772, 51663, 52520, 64481, 69799, 51349, 55092, 50856, 52132, 50891, 51995, 50840, 51137, 50811, 52129, 51139, 52893, 52144, 50891, 52645, 50840, 51374, 55059, 72173, 52859, 50928, 52660, 50930, 51181, 50811, 60560, 52990, 52520, 50928, 50718, 50284, 51010, 52660, 50962, 51181, 55552, 50856, 52275, 50825, 50718, 50284, 51010, 54679, 50894, 54457, 52163, 50798, 51920, 52859, 50928, 50718, 50284, 50882, 52587, 50911, 51338, 58691, 52649, 50950, 52746, 52937, 53316, 54973, 52520, 50908, 50718, 50284, 59616, 51964, 50890, 52533, 50930, 51648, 50961, 52002, 50890, 51913, 51031, 51888, 50961, 51528, 51663, 52144, 50908, 52533, 50812, 51964, 50882, 61142, 51045, 52887, 51160, 51844, 50993, 51402, 62240, 55454, 51877, 50835, 59931, 50950, 50418, 51913, 51031, 52002, 50930, 51648, 50961, 51888, 51031, 53158, 52497, 72592, 51913, 57508, 51648, 54484, 51776, 56082, 51888, 57508, 50423, 50798, 51663, 53940, 51129, 50424, 69799, 51349, 50811, 59158, 55019, 53940, 51129, 53366, 73892, 52537, 50890, 51995, 63356, 54935, 50856, 60195, 51869, 51010, 52645, 50882, 51374, 50803, 51602, 71586, 51708, 52726, 56639, 54697, 51258, 52713, 50930, 51416, 54496, 50816, 68003, 51437, 53390, 52497, 51004, 51280, 51010, 54671, 50987, 52458, 51138, 51450, 51663, 51909, 50825, 52475, 50882, 51349, 53609, 50856, 52144, 50891, 51995, 50855, 51137, 60681, 52537, 51820, 51320, 52893, 52132, 59002, 51869, 50818, 52645, 50859, 51374, 50803, 51602, 53641, 77968, 75284, 52537, 51173, 50448, 52475, 50962, 51349, 50811, 51899, 51663, 52520, 76595, 51995, 50855, 51137, 55552, 50856, 54697, 51129, 51869, 50836, 52645, 50836, 51374, 50811, 51602, 52349, 53804, 51663, 51877, 50835, 51708, 50800, 52660, 51021, 51181, 50860, 53206, 52990, 52144, 50908, 52533, 50855, 51528, 51663, 52275, 50825, 51869, 50858, 52537, 51030, 50415, 52887, 50880, 51844, 55804, 50856, 53637, 51258, 52660, 50809, 51181, 60208, 51708, 50930, 50419, 52533, 63916, 57737, 52275, 50825, 52645, 50882, 51374, 52801, 50798, 51663, 54697, 51258, 51995, 50882, 51137, 50803, 51694, 54508, 53349, 51877, 50835, 59931, 50950, 69799, 51349, 54935, 50856, 52520, 50908, 61142, 50833, 51995, 50833, 51137, 50803, 51974, 52348, 57737, 68697, 59931, 68487, 52713, 50893, 51416, 54241, 50816, 53390, 52520, 50908, 56187, 51010, 51450, 51663, 51909, 50825, 52475, 50930, 51349, 55092, 65543, 53940, 51004, 56187, 50950, 51995, 63356, 52940, 50856, 52497, 51004, 51888, 50930, 59931, 50803, 52645, 50821, 51374, 57276, 51913, 60555, 51320, 52990, 51877, 50835, 51648, 51045, 61142, 50803, 51995, 50930, 51137, 50811, 51899, 51663, 52132, 50870, 51888, 51045, 59931, 67979, 51561, 50809, 51099, 51010, 52533, 50940, 51232, 51031, 51144, 50834, 52645, 51010, 51374, 55552, 51648, 50809, 75364, 51776, 50930, 56187, 50950, 52660, 50962, 51181, 59154, 51708, 50812 ]
[ 0, 250, 239, 12, 18261, 3152, 2214, 19, 10, 748, 1879, 15525, 20889, 6, 4246, 30587, 29589, 6, 17605, 9590, 6, 8, 21072, 6, 2351, 41, 32749, 1295, 11739, 9, 34879, 8, 32618, 14, 35334, 6453, 9, 11098, 8, 10, 11602, 9, 15073, 6, 70, 150, 6780, 10, 5204, 204, 73, 306, 86, 6543, 11, 5, 762, 9, 381, 3694, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 63515, 51296, 50983, 51278, 50983, 54289, 57345, 51296, 51358, 51278, 51358, 54289, 58624, 51296, 51492, 51278, 51492, 54289, 50807, 50799, 54931, 50795, 55289, 52115, 60915, 50795, 55353, 51631, 59246, 50795, 52682, 51736, 63103, 50795, 52521, 51646, 54931, 50795, 55289, 51918, 60915, 50795, 55353, 51798, 59246, 50795, 52682, 51923, 63103, 50795, 52521, 50795, 60652, 50983, 51278, 50983, 54289, 57345, 51296, 51358, 51278, 51358, 54289, 58624, 51296, 52382, 51278, 52382, 54289, 50807, 50799, 54931, 50795, 55289, 52115, 60915, 50795, 55353, 51631, 59246, 50795, 52682, 51736, 63103, 50795, 52521, 51646, 54931, 50795, 55289, 51918, 60915, 50795, 55353, 51798, 59246, 50795, 52682, 51923, 63103, 51605, 52521, 50795, 63515, 51296, 50983, 51278, 50983, 54289, 55157, 50824, 51302, 53566, 51296, 51358, 51278, 51358, 54289, 50983, 51450, 54145, 51296, 51492, 51278, 51492, 54289, 52496, 50824, 50799, 54931, 50795, 55289, 51428, 54226, 60915, 50795, 55353, 51631, 59246, 50795, 52682, 51626, 53566, 63103, 50795, 52521, 51646, 54931, 50795, 55289, 51428, 53681, 60915, 50795, 55353, 51798, 59246, 50795, 52682, 51626, 54098, 63103, 50795, 52521, 50795, 63515, 51296, 50983, 51278, 50983, 54289, 55157, 50824, 51302, 53566, 51296, 51358, 51278, 51358, 54289, 50983, 51450, 54145, 51296, 51161, 51278, 51161, 54289, 52496, 50824, 50799, 54931, 50795, 55289, 51428, 54226, 60915, 50795, 55353, 51631, 59246, 50795, 52682, 51626, 53566, 63103, 50795, 52521, 51646, 54931, 50795, 55289, 51626, 51812, 52313, 60915, 50795, 55353, 51626, 51812, 52175, 59246, 50795, 52682, 51626, 51812, 52325, 63103, 50795, 52521, 51626, 51812, 51407, 63515, 53982, 57726, 54289, 51428, 54226, 53982, 57726, 54289, 51631, 53982, 57726, 54289, 51626, 66613, 53982, 57726, 54289, 51646, 53982, 57726, 54289, 51428, 53681, 53982, 57726, 54289, 51798, 53982, 57726, 54289, 51626, 51352, 50456, 53982, 57726, 54289, 50795, 50799, 53982, 57726, 54289, 51428, 54226, 53982, 57726, 54289, 51631, 53982, 57726, 54289, 51626, 66613, 53982, 57726, 54289, 51646, 53982, 57726, 54931, 51428, 52313, 53982, 57726, 60915, 51428, 52175, 53982, 57726, 53508, 51626, 54098, 53982, 57726, 63103, 50795, 50799, 61016, 59246, 51428, 59739, 61912, 61016, 59246, 51631, 61016, 59246, 51626, 53566, 61016, 59246, 51646, 61016, 59246, 51428, 52313, 61016, 59246, 51428, 52175, 61016, 59246, 51626, 54098, 61016, 59246, 50795, 50799, 62948, 61668, 51428, 58054, 52410, 51942, 51091, 51155, 51091, 59246, 78688, 51059, 51206, 51059, 50435, 51296, 50807, 51278, 50807, 63103, 52496, 59739, 51009, 50447, 65136, 62429, 61668, 52496, 70216, 50636, 53982, 57726, 51296, 53520, 51278, 53520, 54289, 51428, 50824, 52177, 53982, 57726, 54289, 53471, 53982, 57726, 54289, 51626, 58542, 53982, 57726, 54289, 53505, 53982, 57726, 54289, 51428, 57699, 53982, 57726, 54289, 53658, 53982, 57726, 54289, 51626, 57325, 53982, 57726, 54289, 54093, 53982, 57726, 54289, 51428, 50824, 52177, 53982, 57726, 54289, 53471, 53982, 57726, 54289, 51626, 58542, 53982, 57726, 54289, 53505, 53982, 57726, 54931, 51428, 56119, 53982, 57726, 60915, 51428, 55373, 53982, 57726, 53508, 51626, 51812, 57325, 53982, 57726, 63103, 51626, 54934, 61016, 59246, 51428, 59739, 54217, 52177, 61016, 59246, 53471, 61016, 59246, 51626, 58542, 61016, 59246, 53505, 61016, 59246, 51428, 56119, 61016, 59246, 51428, 55373, 61016, 59246, 51626, 57325, 61016, 59246, 54093, 62948, 61668, 51428, 50802, 52177, 51942, 51091, 51155, 51091, 59246, 78688, 68025, 51296, 50807, 51278, 50807, 63103, 52496, 53681, 65136, 62429, 61668, 52496, 50993, 52612, 50802, 53061, 51779, 52163, 50636, 51296, 51036, 51296, 51036, 51278, 51036, 51278, 51036, 54289, 51428, 50824, 50799, 54289, 52115, 54289, 51626, 54107, 54289, 51736, 54289, 51428, 52125, 54289, 51428, 52313, 54289, 51626, 54145, 54289, 51923, 53682, 50918, 51296, 50918, 51386, 50918, 51278, 50918, 53394, 51428, 50824, 50799, 53394, 52115, 53394, 51626, 54107, 53394, 51736, 51942, 50918, 51155, 50918, 51296, 51492, 51278, 51492, 59246, 51428, 52125, 59246, 51428, 52313, 59246, 51626, 54145, 59246, 51923, 53982, 57726, 54289, 51428, 50824, 50799, 53982, 57726, 54289, 52115, 53982, 57726, 54289, 51626, 54107, 53982, 57726, 54289, 51736, 53982, 57726, 54289, 51428, 52125, 53982, 57726, 54289, 51428, 52313, 53982, 57726, 54289, 51626, 54145, 53982, 57726, 54289, 51923, 53982, 57726, 54289, 51428, 50824, 50799, 53982, 57726, 54289, 52115, 53982, 57726, 54289, 51626, 54107, 53982, 57726, 54289, 51736, 53982, 57726, 54931, 51626, 52125, 53982, 57726, 60915, 51626, 52313, 53982, 57726, 53508, 51626, 52175, 53982, 57726, 54289, 51626, 52325, 50636, 51296, 51036, 51296, 51036, 51278, 51036, 51278, 51036, 54289, 51428, 50824, 50799, 54289, 52115, 54289, 51626, 54107, 54289, 51736, 54289, 51428, 52125, 54289, 51428, 52313, 54289, 51626, 54145, 54289, 51923, 53682, 50918, 51296, 50918, 51386, 50918, 51278, 50918, 53394, 51428, 50824, 50799, 53394, 52115, 53394, 51626, 54107, 53394, 51736, 51942, 50918, 51155, 50918, 51296, 51492, 51278, 51492, 59246, 51428, 52125, 59246, 51428, 52313, 59246, 51626, 54145, 59246, 51923, 53982, 57726, 54289, 51428, 50824, 50799, 53982, 57726, 54289, 52115, 53982, 57726, 54289, 51626, 54107, 53982, 57726, 54289, 51736, 53982, 57726, 54289, 51428, 52125, 53982, 57726, 54289, 51428, 52313, 53982, 57726, 54289, 51626, 54145, 53982, 57726, 54289, 51923, 53982, 57726, 54289, 51428, 50824, 50799, 53982, 57726, 54289, 52115, 53982, 57726, 54289, 51626, 54107, 53982, 57726, 54289, 51736, 53982, 57726, 54931, 51626, 52125, 53982, 57726, 60915, 51626, 52313, 53982, 57726, 53508, 51626, 52175, 53982, 57726, 54289, 51626, 52325, 50636, 53982, 57726, 51296, 51492, 51278, 51492, 54289, 51428, 50824, 50799, 53982, 57726, 54289, 52115, 53982, 57726, 54289, 51626, 54107, 53982, 57726, 54289, 51736, 53982, 57726, 54289, 51428, 53663, 53982, 57726, 54289, 51918, 53982, 57726, 54289, 51626, 54145, 53982, 57726, 54289, 51923, 53982, 57726, 54289, 51428, 50824, 50799, 53982, 57726, 54289, 52115, 53982, 57726, 54289, 51626, 54107, 53982, 57726, 54289, 51736, 53982, 57726, 54931, 51428, 52125, 53982, 57726, 60915, 51428, 52313, 53982, 57726, 53508, 51626, 54145, 53982, 57726, 63103, 51923, 61016, 59246, 51428, 59739, 51732, 50799, 61016, 59246, 52115, 61016, 59246, 51626, 54107, 61016, 59246, 51736, 61016, 59246, 51428, 52125, 61016, 59246, 51428, 52313, 61016, 59246, 51626, 54145, 61016, 59246, 51923, 62948, 61668, 51428, 50802, 50799, 51942, 51091, 51155, 51091, 59246, 78688, 51059, 50429, 51296, 50807, 51278, 50807, 63103, 52496, 57699, 65136, 62429, 61668, 52496, 57325, 50636, 53982, 57726, 51296, 51492, 51278, 51492, 54289, 51428, 70216, 53982, 57726, 54289, 50795, 52177, 53982, 57726, 54289, 51626, 64381, 53982, 57726, 54289, 54253, 53982, 57726, 54289, 51428, 60739, 53982, 57726, 54289, 54789, 53982, 57726, 54289, 51626, 63058, 53982, 57726, 54289, 55000, 53982, 57726, 54289, 51428, 70216, 53982, 57726, 54289, 50795, 52177, 53982, 57726, 54289, 51626, 64381, 53982, 57726, 54289, 54253, 53982, 57726, 54931, 51428, 54241, 53982, 57726, 60915, 51428, 56119, 53982, 57726, 53508, 51626, 63058, 53982, 57726, 63103, 55000, 61016, 59246, 51428, 59739 ]
[ 0, 250, 19448, 5175, 25771, 2214, 19, 10, 15352, 30054, 4782, 6, 4246, 10, 6755, 12547, 6, 38668, 22052, 6, 21979, 8669, 6, 21979, 9590, 6, 8, 18558, 10, 25118, 6, 7630, 14805, 10, 3366, 219, 8, 980, 219, 5466, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 41, 12447, 1001, 20889, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50796, 50799, 61115, 50938, 52419, 50952, 55500, 53201, 53496, 52204, 52091, 52720, 51113, 52644, 51284, 52644, 56952, 50833, 52653, 50998, 51178, 50947, 51043, 52419, 60751, 51316, 51110, 51302, 61676, 58493, 50805, 52318, 50849, 51361, 50878, 50998, 50942, 50947, 50942, 51493, 60121, 51316, 50866, 51570, 57567, 50917, 52419, 50952, 51180, 50955, 70590, 67418, 52419, 77370, 51316, 55514, 55290, 50843, 57990, 50924, 50998, 50925, 67418, 52318, 72065, 51316, 51058, 51453, 50878, 70590, 50947, 50942, 51493, 74949, 51316, 51008, 53028, 57567, 50938, 52419, 50952, 56952, 52938, 50878, 68242, 61498, 52419, 50879, 50421, 51316, 51328, 55057, 56525, 57370, 50924, 52318, 51111, 51361, 50955, 79742, 50947, 50917, 51493, 60121, 51316, 50937, 51570, 50942, 55450, 52419, 50952, 51113, 50845, 51284, 50845, 51180, 50977, 70590, 67418, 52419, 51158, 51357, 50901, 51558, 50901, 50445, 51316, 55514, 50801, 58224, 58786, 50937, 50998, 50942, 50947, 50942, 52318, 50805, 51113, 50943, 51284, 50943, 50451, 51316, 50878, 51453, 50878, 68864, 67418, 51493, 50937, 50457, 51316, 50933, 53028, 56525, 50917, 51273, 50830, 55500, 55408, 52016, 53295, 52582, 55428, 51251, 51307, 51107, 51307, 56952, 53340, 50878, 51078, 67820, 51273, 50879, 50421, 51067, 60086, 50801, 63342, 56873, 50924, 51705, 76306, 50955, 50947, 50925, 51078, 50917, 51216, 67502, 66863, 51570, 62064, 50873, 67418, 51078, 50866, 51273, 72858, 66863, 51180, 50878, 67418, 51078, 50866, 51273, 51111, 50445, 51067, 56060, 50843, 62064, 57370, 50879, 51078, 50942, 50947, 50959, 51705, 72065, 51067, 51008, 51453, 50959, 67418, 51078, 50987, 51216, 50924, 50457, 51067, 50959, 60122, 55106, 52189, 57567, 50938, 67418, 51078, 50937, 51273, 50830, 51491, 50840, 51107, 67694, 51067, 50942, 55207, 52189, 60521, 50955, 51078, 50977, 51273, 51158, 51491, 50859, 51107, 69388, 51067, 57630, 50920, 55619, 53841, 61676, 50937, 67418, 51078, 50866, 51705, 51111, 51491, 50859, 51107, 66086, 51067, 59780, 50804, 51420, 50955, 50947, 50955, 51078, 50937, 51216, 65728, 50800, 51107, 68484, 51067, 59983, 50920, 54742, 53097, 50910, 54613, 50947, 50942, 51078, 50866, 51273, 51158, 51491, 50800, 51107, 66905, 51067, 55758, 50920, 53966, 53841, 55110, 78218, 50924, 50998, 50917, 51169, 50977, 51493, 51173, 57380, 51481, 54549, 50845, 52091, 51177, 70058, 51266, 68523, 51076, 50977, 50799, 51190, 51015, 50917, 52419, 50830, 52091, 52121, 51701, 52121, 52736, 52337, 50419, 50998, 50987, 56952, 53340, 50955, 78672, 51316, 50978, 52419, 51177, 55057, 53497, 58546, 51100, 51788, 50865, 52318, 51111, 50431, 66334, 51361, 51008, 50947, 50925, 51316, 50866, 51788, 51100, 51493, 53470, 51441, 51015, 50917, 52866, 50849, 52419, 78106, 68583, 51180, 50878, 78672, 51316, 51058, 51788, 51159, 52419, 51060, 50449, 50998, 50955, 51382, 54692, 53530, 50938, 76169, 51316, 51006, 52318, 51100, 50455, 70590, 51453, 50878, 67418, 51316, 51058, 57155, 51221, 51493, 50849, 50799, 51441, 51015, 50938, 52419, 50952, 50419, 50998, 50942, 56952, 53340, 50977, 50947, 50937, 51316, 50978, 51788, 51124, 52419, 51158, 51302, 52154, 53530, 50865, 52318, 51100, 50431, 50998, 50925, 51361, 50854, 50947, 50917, 51316, 50866, 52866, 51110, 51493, 51646, 51441, 51015, 50938, 52419, 50952, 50443, 68583, 51180, 50897, 78672, 51316, 50978, 51788, 51159, 52419, 51215, 50449, 50998, 50942, 57702, 53497, 59597, 50805, 50947, 50942, 51316, 50933, 52318, 51100, 50455, 50998, 50925, 51453, 50878, 67418, 51316, 51006, 51292, 51111, 51493, 50917, 50799, 51441, 51015, 50805, 51786, 51110, 51273, 50800, 52582, 51717, 51701, 51717, 52009, 52122, 50419, 51078, 50917, 56952, 51559, 50878, 78672, 51067, 50978, 51273, 51060, 55057, 53497, 59597, 50805, 51788, 50917, 51705, 51111, 50431, 51078, 50977, 51361, 50854, 66863, 50947, 50937, 51788, 51177, 74676, 51570, 54312, 50805, 52866, 50849, 51273, 50924, 50443, 51078, 50977, 51180, 50833, 51067, 50959, 78672, 51788, 51178, 51273, 51158, 50449, 51078, 50977, 51382, 54692, 53097, 50910, 50947, 50955, 66863, 51705, 51111, 50455, 51078, 50978, 51453, 50854, 50947, 51008, 51067, 50955, 74676, 50799, 51441, 51015, 50938, 51273, 50865, 50419, 51078, 55085, 50920, 51559, 50925, 78672, 70186, 51273, 51060, 55057, 52764, 55236, 50938, 51705, 51111, 50431, 51078, 50977, 51361, 50822, 78672, 70186, 51216, 53470, 51441, 51015, 50938, 51273, 50952, 50443, 51078, 50937, 51180, 50854, 50947, 50917, 51067, 50987, 51273, 51100, 50449, 51078, 55758, 50843, 52764, 55236, 50805, 67418, 51067, 50955, 51705, 50849, 50455, 51078, 50866, 51453, 50810, 50947, 50955, 66863, 51216, 72914, 50998, 50942, 50799, 51441, 51015, 50938, 67418, 51316, 50987, 52419, 50938, 52091, 52122, 51701, 52121, 52736, 52121, 50419, 50998, 50942, 56952, 51437, 50854, 67418, 51316, 50959, 52419, 51111, 55057, 54172, 55236, 50938, 51788, 50849, 52318, 51100, 50431, 50998, 50925, 77490, 50947, 50925, 51316, 50866, 51788, 50873, 51493, 54233, 51441, 51015, 50917, 52866, 50873, 52419, 50952, 50443, 50998, 50925, 51180, 50925, 50947, 50937, 51316, 50866, 51788, 51178, 52419, 51111, 50449, 50998, 50942, 57702, 54806, 61468, 50938, 79853, 51316, 51058, 52318, 51100, 50455, 50998, 50925, 51453, 50810, 50947, 50942, 51316, 50959, 57155, 50873, 51493, 50805, 50799, 70271, 50938, 52419, 50924, 50419, 79742, 56952, 52873, 50925, 50947, 50917, 51316, 50892, 51788, 51121, 52419, 51631, 50843, 53497, 61468, 50938, 52318, 50873, 50431, 50998, 50925, 51361, 50878, 77457, 51316, 50866, 52866, 50849, 51493, 52446, 51441, 51015, 50938, 52419, 50910, 50443, 50998, 50942, 51180, 50833, 50947, 50917, 51316, 50866, 51788, 51221, 52419, 51111, 50449, 50998, 50942, 57702, 54172, 55236, 50865, 50947, 50942, 51316, 51008, 52318, 50849, 50455, 50998, 50942, 51453, 50878, 67418, 51316, 51006, 51292, 50849, 51493, 50925, 53028, 59597, 50924, 51786, 51110, 51273, 50910, 52582, 51717, 51701, 52250, 52009, 51717, 50419, 51078, 50942, 56952, 52873, 50942, 50947, 50942, 66863, 51273, 51111, 55057, 53497, 55236, 50924, 51788, 50917, 51705, 51100, 50431, 70549, 51361, 50942, 50947, 50942, 51067, 50955, 51788, 51101, 51216, 64967, 51441, 51015, 50924, 52866, 51177, 51273, 50897, 50443, 51078, 50977, 51180, 50833, 51067, 50959, 79853, 51788, 51100, 51273, 51111, 50449, 51078, 56060, 50843, 53119, 55236, 50795, 50947, 50955, 66863, 51705, 51111, 50455, 51078, 50878, 51453, 50942, 50947, 50959, 51067, 50955, 51216, 50849, 50799, 51718, 51015, 50938, 51273, 50910, 50419, 51078, 50955, 56952, 53340, 50942, 76169, 51067, 50987, 51273, 51060, 55057, 54172, 61468, 50865, 51705, 51121, 50431, 51078, 50942, 51361, 50955, 51067, 50955, 79853, 51216, 53470, 51441, 51015, 65577, 50910, 50443, 51078, 50977, 54141, 52873, 50925, 79853, 51067, 50987, 51273, 51100, 50449, 51078, 50977, 51382, 54845, 56525, 50879, 51067, 50897, 50947, 50937, 51705, 51121, 50455, 51078, 50942, 56871, 51559, 50925, 67418, 51067, 50987, 51292, 50978, 51216, 50873, 50799, 51230, 51015, 50917, 53779, 51110, 57155, 50937, 61777, 50937, 51216, 51013, 51584, 51445, 52170, 51445, 52091, 51151, 76454, 52736, 51313, 50419, 50998, 53066, 50920, 52217, 51058, 68019, 78376, 57155, 50925, 61777, 50917, 55057, 54172, 58546, 50865, 57155, 50897, 61777 ]
[ 0, 250, 3366, 219, 5175, 25771, 2214, 19, 10, 980, 219, 8, 19448, 16464, 6, 4246, 10, 13305, 6, 38668, 22052, 6, 21072, 6, 2382, 3459, 8669, 6, 8, 38668, 3038, 6, 278, 11, 10, 204, 73, 306, 86, 6543, 23, 10, 38451, 3938, 20889, 9, 12747, 741, 1685, 11, 5, 762, 9, 274, 3694, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 78323, 51696, 50420, 51847, 53241, 50426, 51561, 51585, 50432, 51512, 51977, 79921, 52208, 50420, 51706, 52500, 50426, 51561, 51941, 50432, 51512, 52827, 50444, 51099, 51274, 78323, 51353, 67791, 52096, 53496, 54430, 51821, 51696, 52398, 53073, 50420, 51847, 52536, 50426, 51561, 51941, 50432, 51512, 51790, 79921, 51307, 51602, 51016, 52606, 52017, 50420, 51706, 53435, 50426, 51561, 51486, 51132, 59984, 51512, 51790, 55545, 53681, 51099, 69830, 51338, 57623, 52538, 52738, 50804, 52050, 50961, 52198, 52050, 50961, 52894, 50893, 57380, 53073, 52233, 53601, 51821, 53501, 51616, 50837, 69025, 51530, 53432, 56874, 50387, 52289, 51129, 50417, 51616, 50891, 69318, 51530, 51467, 53223, 51602, 51012, 51616, 50837, 69025, 51530, 50846, 53392, 51239, 78929, 54951, 51616, 50908, 75834, 51530, 50884, 54517, 51239, 74285, 52976, 51616, 50835, 51061, 50884, 51530, 54212, 50898, 62056, 68536, 51616, 50908, 68462, 51530, 50839, 53392, 51187, 52818, 76616, 54517, 53704, 51239, 50379, 52289, 55813, 51616, 50891, 69318, 51530, 50884, 53392, 51187, 67576, 50928, 54908, 51356, 54222, 51539, 56755, 51616, 50837, 51061, 50846, 51530, 51041, 74285, 53858, 51616, 50837, 69025, 51530, 50828, 53392, 51467, 50372, 52289, 60571, 51616, 50891, 69318, 51530, 50884, 54517, 51539, 67576, 54044, 51616, 50825, 51061, 74153, 54528, 53989, 51139, 50372, 52289, 56597, 53392, 51750, 53017, 51616, 50863, 67871, 51530, 50834, 54517, 56634, 50372, 52289, 56232, 51616, 50891, 69318, 51530, 51750, 62056, 50870, 52894, 50806, 51616, 50837, 69025, 51530, 53432, 51044, 50372, 52289, 51129, 50417, 51616, 50891, 69318, 51530, 51467, 53223, 51602, 51012, 51616, 50837, 69025, 51530, 50846, 53392, 51464, 78929, 55375, 51616, 50908, 75834, 51530, 50884, 54517, 51833, 74285, 53896, 51616, 50835, 51061, 50884, 51530, 54212, 50898, 62056, 60481, 51616, 50908, 68462, 51530, 50839, 53392, 51406, 52818, 76616, 54517, 54109, 51239, 50379, 52289, 55799, 51616, 50891, 69318, 51530, 51179, 67576, 50870, 54908, 51196, 54222, 51187, 56755, 51616, 50837, 51061, 50846, 51530, 51041, 74285, 54406, 51616, 50837, 69025, 51530, 50828, 53392, 51539, 50372, 52289, 56377, 51616, 50891, 69318, 51530, 50884, 54517, 51239, 67576, 54044, 51616, 50825, 51061, 74153, 54528, 53989, 51139, 50372, 52289, 60491, 61014, 51616, 50863, 67871, 51530, 50834, 53392, 54726, 50372, 52289, 55397, 51616, 50891, 69318, 51530, 51750, 62056, 50908, 52894, 51012, 54064, 54430, 52016, 51696, 51616, 50837, 69025, 51530, 53432, 56874, 50387, 52289, 57226, 51616, 50891, 69318, 51530, 51467, 53223, 51602, 50879, 51616, 50837, 69025, 51530, 50846, 53392, 51239, 78929, 64024, 51616, 50908, 75834, 51530, 50884, 54517, 51239, 74285, 52966, 51616, 50835, 51061, 50884, 51530, 54212, 50898, 62056, 58832, 51616, 50908, 68462, 51530, 50839, 53392, 51187, 52818, 51132, 50911, 54517, 53704, 51239, 50379, 52289, 58721, 51616, 50891, 69318, 51530, 50884, 53392, 51187, 67576, 51004, 55511, 53606, 50321, 51187, 56755, 51616, 50837, 51061, 50846, 51530, 51041, 74285, 54406, 51526, 50859, 51616, 50837, 69025, 51530, 50828, 53392, 51467, 50372, 52289, 56377, 51616, 50891, 69318, 51530, 50884, 54517, 51539, 67576, 54044, 51526, 51016, 51616, 50825, 51061, 74153, 54528, 53989, 51139, 50372, 52289, 61362, 53392, 51750, 53017, 51616, 50863, 67871, 51530, 50834, 54517, 56634, 50372, 52289, 56232, 51616, 50891, 69318, 51530, 51750, 62056, 51004, 54983, 51090, 53496, 52017, 51616, 50837, 69025, 51530, 53432, 51044, 50372, 52289, 77298, 51616, 50891, 69318, 51530, 51467, 53223, 51616, 50837, 69025, 51530, 50846, 53392, 51464, 78929, 54951, 51616, 50908, 75834, 51530, 50884, 54517, 51833, 74285, 53896, 51602, 50824, 51616, 50835, 51061, 50884, 51530, 54212, 50898, 62056, 57845, 51616, 50908, 68462, 51530, 50839, 53392, 51406, 52818, 54517, 54109, 51239, 50379, 52289, 55762, 51616, 50891, 69318, 51530, 51179, 67576, 54203, 51132, 50824, 54222, 54212, 53905, 51616, 50837, 51061, 50846, 51530, 50385, 52289, 53858, 51616, 50837, 69025, 51530, 50828, 53392, 70724, 58355, 51616, 50891, 69318, 51530, 50884, 54517, 54499, 50387, 52289, 53166, 51533, 51016, 51616, 50825, 51061, 74153, 54528, 53989, 50386, 52289, 50908, 53061, 52349, 51616, 50863, 67871, 51530, 50834, 53392, 54131, 53732, 50372, 52289, 59506, 51616, 50891, 69318, 51530, 55164, 50387, 52289, 50982, 52894, 50923, 57380, 53601, 52233, 53501, 51821, 54430, 51616, 50837, 69025, 51530, 53432, 56874, 50387, 52289, 65926, 51616, 50891, 69318, 51530, 51467, 53223, 51602, 50893, 51616, 50837, 69025, 51530, 51239, 78929, 54951, 51616, 50908, 75834, 51530, 51179, 74285, 53098, 51616, 50835, 51061, 50884, 51530, 54212, 50898, 62056, 64044, 51616, 50908, 68462, 51530, 51467, 52818, 51132, 50923, 53552, 50379, 52289, 55762, 51616, 50891, 69318, 51530, 51179, 67576, 50982, 54908, 51527, 51970, 50441, 51616, 50837, 51061, 50846, 51530, 51041, 74285, 54406, 51616, 50837, 69025, 51530, 51187, 50372, 52289, 55721, 51616, 50891, 69318, 51530, 51179, 67576, 55038, 51616, 50825, 51061, 74153, 54528, 53989, 51139, 50372, 52289, 71670, 61014, 51616, 50863, 67871, 51530, 55033, 50372, 52289, 56013, 51616, 50891, 69318, 51530, 51750, 62056, 50908, 52894, 50923, 51616, 50837, 69025, 51530, 53432, 51044, 50372, 52289, 57226, 51616, 50891, 69318, 51530, 51467, 53223, 51602, 50911, 51616, 50837, 69025, 51530, 51239, 78929, 56016, 51616, 50908, 75834, 51530, 51179, 74285, 52976, 51616, 50835, 51061, 50884, 51530, 54212, 50898, 62056, 57845, 51616, 50908, 68462, 51530, 51467, 52818, 51132, 50923, 53552, 50379, 52289, 55813, 51616, 50891, 69318, 51530, 51179, 67576, 50928, 54908, 51356, 51970, 50441, 51616, 50837, 51061, 50846, 51530, 51041, 74285, 54485, 51616, 50837, 69025, 51530, 51187, 50372, 52289, 55721, 51616, 50891, 69318, 51530, 51179, 67576, 52846, 51616, 50825, 51061, 74153, 54528, 53989, 51139, 50372, 52289, 58207, 61014, 51616, 50863, 67871, 51530, 55033, 50372, 52289, 56232, 51616, 50891, 69318, 51530, 51750, 62056, 51004, 52894, 50879, 54064, 54430, 52016, 51469, 51616, 50837, 69025, 51530, 53432, 56874, 50387, 52289, 51129, 50417, 51616, 50891, 69318, 51530, 51467, 53223, 51602, 50911, 51616, 50837, 69025, 51530, 51239, 78929, 55375, 51616, 50908, 75834, 51530, 51179, 74285, 52976, 51616, 50835, 51061, 50884, 51530, 54212, 50898, 62056, 64044, 51616, 50908, 68462, 51530, 51467, 52818, 51132, 52590, 51239, 50379, 52289, 58721, 51616, 50891, 69318, 51530, 51179, 67576, 51004, 55511, 51594, 56755, 51616, 50837, 51061, 50846, 51530, 51041, 74285, 57536, 51526, 50821, 51616, 50837, 69025, 51530, 51187, 50372, 52289, 56377, 51616, 50891, 69318, 51530, 51179, 67576, 53421, 51526, 50896, 51616, 50825, 51061, 74153, 54528, 53989, 51139, 50372, 52289, 63659, 61014, 51616, 50863, 67871, 51530, 55033, 50372, 52289, 56013, 51616, 50891, 69318, 51530, 51750, 62056, 50982, 54983, 51016, 53496, 52208, 51616, 50837, 69025, 51530, 53432, 51044, 50372, 52289, 57226, 51616, 50891, 69318, 51530, 51467, 53223, 51616, 50837, 69025, 51530, 51239, 78929, 55375, 51616, 50908, 75834, 51530, 51179, 74285, 54953, 51602, 50896, 51616, 50835, 51061, 50884, 51530, 54212, 50898, 62056, 64838, 51616, 50908, 68462, 51530, 51467, 52818, 53552, 50379 ]
[ 0, 250, 5679, 26709, 5175, 25771, 2214, 4246, 21072, 6, 3023, 4360, 25999, 6, 449, 337, 757, 3178, 6, 486, 118, 9877, 483, 6, 8, 21979, 8669, 6, 2351, 10, 19448, 8, 15352, 30054, 2369, 18795, 14, 115, 28, 341, 11, 10, 822, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 9, 13156, 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 ]	[ 56103, 50799, 59614, 50805, 57568, 50879, 51140, 50976, 60586, 50849, 51711, 59519, 52036, 58306, 52430, 65354, 50423, 57568, 50930, 51140, 50859, 60586, 52710, 58390, 50811, 51150, 50802, 56079, 55214, 57510, 50811, 51216, 50894, 57374, 51354, 50441, 59614, 54815, 57568, 50817, 68889, 50870, 60586, 55620, 57568, 55097, 59614, 54663, 57568, 50817, 68889, 50837, 51461, 50860, 56079, 64098, 52137, 51671, 52735, 52727, 51838, 51671, 50799, 63149, 50805, 58872, 68314, 50976, 55319, 59573, 58872, 50930, 51098, 50859, 55319, 52710, 62363, 50811, 51389, 50802, 54779, 55214, 60670, 50811, 51261, 50894, 59678, 51354, 50441, 63149, 54815, 58872, 50817, 60670, 50870, 55319, 55620, 58872, 55097, 63149, 54663, 58872, 50817, 60670, 50837, 51273, 50860, 54779, 64098, 51711, 51801, 52225, 51801, 52137, 53201, 50799, 58872, 50805, 58390, 50879, 51150, 50976, 56079, 59573, 58390, 50930, 51150, 50859, 56079, 52710, 65511, 50811, 52078, 50802, 55076, 55214, 64722, 50811, 51984, 50894, 55906, 51354, 50441, 58872, 54815, 58390, 50817, 66050, 50870, 56079, 55620, 58390, 55097, 58872, 54663, 58390, 50817, 66050, 50837, 51098, 50860, 55319, 50854, 50799, 58872, 50805, 58390, 50879, 51150, 50976, 56079, 76412, 51949, 53868, 58390, 50930, 51150, 50859, 56079, 66870, 52762, 65511, 50811, 52078, 50802, 55076, 50893, 51224, 54365, 52954, 52925, 64722, 50811, 51984, 50894, 55906, 51354, 51553, 57893, 52954, 55201, 58872, 50384, 53221, 73106, 52878, 58390, 50817, 66050, 50870, 56079, 50897, 51289, 51139, 65916, 60103, 52139, 55922, 66112, 63128, 55354, 51456, 53533, 58390, 54366, 64033, 55255, 62240, 56113, 63197, 53544, 53922, 58872, 50890, 55192, 55987, 61250, 53048, 53556, 58390, 50817, 66050, 50837, 51098, 50860, 55319, 53590, 64033, 76213, 59765, 55717, 57582, 62775, 65750, 54018, 54603, 53642, 56128, 54987, 60634, 51711, 51939, 52036, 51939, 52430, 52431, 53202, 51359, 50765, 50285, 51527, 57790, 50835, 61229, 54023, 50572, 55926, 57790, 50863, 61229, 53023, 62776, 50817, 63582, 50817, 57790, 50870, 61229, 55303, 53109, 62776, 50846, 63582, 50884, 57790, 50368, 52082, 52641, 58390, 50930, 60586, 50836, 57790, 51022, 61229, 50846, 61229, 65916, 64090, 58514, 58495, 52941, 55649, 62776, 50962, 63582, 51010, 53050, 50841, 57790, 50825, 50759, 50326, 50829, 50759, 50326, 71958, 68954, 56152, 52954, 56356, 51224, 53116, 56079, 50884, 53050, 50822, 50850, 51291, 50909, 51472, 51257, 51472, 50765, 50292, 51336, 58478, 50834, 61229, 50829, 61229, 51406, 51909, 54763, 63128, 53905, 62776, 50962, 63582, 64973, 53114, 62776, 50817, 63582, 50817, 53050, 50891, 53048, 50862, 60311, 50829, 61439, 50835, 50759, 50333, 51406, 52275, 55263, 54673, 62776, 50962, 63582, 57887, 58390, 50880, 60586, 50828, 53050, 50845, 64438, 50834, 50759, 50332, 75223, 56122, 59127, 53622, 56721, 51711, 53487, 52036, 53487, 52430, 55844, 50456, 62776, 50949, 63582, 76766, 50820, 61439, 50829, 50759, 50333, 59003, 53518, 50884, 50799, 59614, 50805, 57568, 50879, 51140, 50976, 60586, 50849, 53050, 50889, 51289, 50381, 55958, 56616, 64956, 51949, 53868, 57568, 50930, 51140, 50859, 60586, 66870, 52762, 58390, 50811, 51150, 50802, 56079, 50893, 51224, 54365, 52954, 60426, 53428, 52417, 57510, 50811, 51216, 50894, 57374, 51354, 51553, 57893, 52954, 53442, 53428, 58037, 59614, 50384, 53221, 73106, 58829, 53428, 54400, 57568, 50817, 68889, 50870, 60586, 50897, 51289, 51139, 65916, 60103, 52139, 55922, 66112, 63128, 55354, 51456, 53533, 57568, 50829, 55324, 52259, 64033, 55255, 62240, 56113, 63197, 53544, 53922, 59614, 50890, 55192, 55987, 53268, 57568, 50817, 68889, 50837, 51461, 50860, 56079, 50854, 54271, 53690, 64033, 76213, 59765, 55717, 57582, 62775, 65750, 54018, 54603, 53642, 56128, 54987, 60634, 63648, 50855, 51711, 51097, 52430, 51333, 52036, 50995, 53202, 51359, 50765, 50285, 51527, 57790, 50835, 61229, 54023, 50572, 56813, 61201, 66147, 57790, 50863, 61229, 53023, 62776, 50817, 63582, 50817, 63648, 51242, 57790, 50870, 61229, 55303, 53109, 62776, 50846, 63582, 50884, 57790, 50368, 52082, 58990, 51711, 51097, 52036, 51097, 52430, 64396, 58390, 50930, 60586, 50836, 61201, 50849, 57790, 51022, 61229, 50834, 61229, 65163, 64090, 58514, 58495, 52941, 75347, 63648, 53860, 62776, 50962, 63582, 51010, 57790, 50825, 50759, 50326, 50841, 50759, 50326, 67256, 68954, 56152, 52954, 56356, 51224, 58694, 54271, 50908, 51711, 52222, 52036, 52151, 52430, 52335, 50438, 56079, 50884, 55324, 50834, 53428, 56011, 51291, 50909, 51472, 51257, 51472, 50765, 50292, 51933, 58478, 50834, 61229, 50829, 61229, 51406, 51909, 54763, 63128, 53905, 62776, 50962, 63582, 64973, 53114, 62776, 50817, 63582, 50817, 55324, 50955, 60311, 50829, 61439, 50835, 50759, 50333, 51406, 52275, 55263, 54673, 62776, 50962, 63582, 57887, 58390, 50880, 60586, 50828, 54271, 50828, 64438, 50834, 50759, 50332, 75223, 56122, 59127, 53622, 57859, 54271, 53268, 62776, 50949, 63582, 50817, 61439, 50829, 50759, 50333, 59003, 53518, 50884, 53788, 51313, 54271, 51542, 76778, 50872, 51183, 50850, 51103, 61229, 50841, 61229, 75692, 56127, 61229, 50837, 61229, 50370, 52082, 52761, 62776, 51031, 63582, 50949, 61229, 50863, 61229, 76937, 54446, 51289, 52639, 58390, 51010, 60586, 50836, 50765, 50289, 50914, 61439, 50829, 61229, 58264, 59667, 53544, 51031, 50428, 52036, 51484, 51711, 51775, 52430, 51484, 50432, 62776, 50817, 63582, 51031, 54271, 50828, 64438, 50834, 50759, 50326, 64033, 54274, 53439, 51224, 57352, 54271, 53980, 56079, 50884, 55324, 56608, 52392, 50909, 52536, 51257, 52392, 50765, 50292, 51364, 60311, 50829, 61229, 65296, 56233, 63128, 50818, 51711, 51097, 52036, 50995, 52430, 51108, 50439, 53428, 77131, 62776, 50817, 63582, 55717, 52986, 55324, 51177, 58478, 50835, 50759, 50333, 59765, 55987, 54368, 62776, 50817, 63582, 56385, 58390, 50803, 60586, 50828, 54271, 51194, 57790, 50825, 50759, 50332, 64271, 53414, 62576, 53544, 51031, 51711, 50932, 52036, 51097, 52430, 51330, 50455, 63648, 54583, 62776, 50817, 63582, 50817, 61201, 50836, 58478, 50886, 74211, 75615, 57808, 50818, 53202, 51307, 61201, 50901, 50765, 50285, 51527, 57790, 50835, 61229, 54023, 50572, 50834, 51711, 50995, 52036, 50995, 52430, 51108, 50417, 57790, 50863, 61229, 63266, 63648, 77769, 62776, 50811, 63582, 50811, 57790, 50870, 61229, 55303, 53991, 57790, 63026, 51711, 50932, 52036, 50995, 52430, 64396, 58390, 50821, 60586, 50836, 61201, 51101, 57790, 51022, 61229, 50846, 61229, 57808, 58264, 68557, 52922, 52265, 62776, 50949, 63582, 51031, 63648, 50855, 57790, 50825, 50759, 50326, 50829, 50759, 50326, 65118, 55922, 53977, 55486, 51553, 57667, 54271, 50904, 51711, 51080, 52036, 51244, 52430, 51447, 50438, 56079, 50884, 55324, 56608, 51336, 50909, 51336, 51257, 51356, 50765, 50292, 51336, 58478, 50834, 61229, 50829, 61229, 51406, 51792, 54121, 60140, 65233, 59901, 53428, 51074, 50441, 51170, 53162, 62776, 51010, 63582, 50962, 54271, 50839, 60311, 50829, 61439, 50835, 50759, 50333, 51406, 52520, 56113, 52772, 58390, 50811, 60586, 50828, 54271, 50857, 55324, 50828, 64438, 50834, 50759, 50332, 75223, 55922, 59905, 55101, 52193, 62776, 50962, 63582, 50811, 55324, 50820, 61439, 50829, 50759, 50333, 59003, 53414, 54949, 68789, 51838, 50932, 52137, 50995, 52735, 51330, 53458, 51397 ]
[ 0, 713, 8787, 15855, 8, 3495, 24904, 2125, 1931, 21683, 10, 32076, 1619, 4780, 149, 63, 15352, 30054, 2017, 2485, 4, 2595, 10312, 23, 10, 182, 1769, 20889, 11, 5, 762, 9, 272, 538, 6, 24, 1575, 41, 27636, 11739, 9, 10170, 1499, 6, 6755, 12547, 6, 31391, 1672, 9590, 6, 1076, 560, 31365, 25999, 6, 8, 21979, 8669, 4, 20, 15229, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 19, 5, 33215, 13931, 211, 406, 6, 272, 6, 230, 6, 8, 272, 8165, 5705, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50642, 59015, 51832, 50796, 51768, 51832, 60859, 51832, 51955, 51832, 50799, 51531, 51016, 51093, 51016, 50425, 51666, 60823, 51107, 53585, 51531, 51346, 51908, 51112, 51416, 66984, 58054, 60538, 50866, 50439, 51093, 51100, 51266, 60866, 74432, 50909, 50948, 50868, 50948, 51531, 51112, 51908, 51345, 50816, 50937, 50451, 51093, 51345, 51266, 51238, 64170, 51173, 50909, 51158, 50868, 51158, 51908, 51048, 51871, 66404, 51121, 50415, 51266, 51116, 51182, 68586, 52330, 50991, 51357, 51460, 51201, 51235, 51684, 63783, 52229, 50878, 50427, 51691, 69203, 50872, 50940, 50847, 50940, 50935, 50940, 52330, 51016, 51691, 51345, 50816, 50925, 50439, 51357, 51175, 51201, 67702, 50935, 51173, 50872, 57753, 51173, 51691, 51345, 52368, 51112, 51357, 51238, 51201, 51238, 51284, 51124, 50816, 50937, 50461, 51531, 50967, 51871, 51116, 51908, 51095, 66439, 53236, 54158, 51101, 50415, 51093, 50967, 51182, 51111, 51266, 51111, 50425, 51871, 51346, 50426, 65420, 50868, 50948, 64017, 51531, 51175, 51908, 51238, 51093, 50805, 51266, 50938, 51182, 50938, 52474, 63759, 58866, 50935, 58521, 57753, 50893, 51994, 51095, 51666, 51235, 51691, 51290, 51088, 51116, 51357, 50991, 51201, 51235, 51684, 63759, 57824, 51531, 50967, 51994, 51060, 51908, 51060, 51416, 52299, 52229, 51101, 50451, 51266, 50938, 51088, 50805, 51093, 50879, 50461, 52498, 51112, 51531, 51235, 51873, 50967, 61464, 56548, 50924, 50909, 71585, 51215, 51154, 50991, 51093, 51227, 51349, 54565, 57499, 50872, 51227, 50992, 51227, 51007, 51345, 52498, 51095, 51666, 51345, 53094, 51238, 51154, 50967, 51107, 50967, 51375, 51238, 51602, 77068, 58020, 51994, 50991, 51531, 51235, 51908, 51345, 51093, 51060, 51088, 51623, 51266, 51111, 51137, 66984, 52229, 65295, 72527, 51149, 50830, 50909, 51033, 51908, 51235, 51871, 51290, 50816, 50925, 50451, 51994, 51233, 51182, 50805, 51266, 51095, 50461, 51994, 51116, 59007, 51173, 50847, 51173, 50909, 51173, 51531, 50991, 51908, 51238, 50816, 50937, 50415, 51093, 50865, 51266, 50938, 50425, 52330, 51294, 50426, 51994, 50991, 51666, 51362, 51154, 51377, 51088, 51162, 51357, 50914, 68831, 54311, 77609, 52229, 68535, 50847, 78139, 65714, 50948, 51994, 51661, 51088, 51158, 51154, 52504, 58460, 50847, 66812, 56674, 50911, 51871, 50991, 52330, 50980, 51182, 51048, 51137, 63759, 50925, 50451, 51357, 51160, 75696, 51237, 52619, 52071, 51531, 51945, 51994, 52069, 51301, 52069, 51088, 52069, 51093, 51605, 51416, 52299, 52229, 53172, 50847, 50824, 51137, 63759, 53627, 50816, 53415, 50868, 50824, 51374, 60746, 53639, 50885, 51362, 51338, 51932, 50798, 64322, 50937, 51206, 54567, 51043, 50796, 50437, 51652, 51735, 50438, 52619, 51141, 51994, 51218, 51338, 57044, 54158, 65295, 62486, 71041, 50868, 62283, 74304, 52619, 51189, 73935, 52097, 71873, 60104, 60154, 51994, 73321, 75262, 54311, 57393, 52229, 69587, 52619, 51077, 51994, 51191, 51531, 51364, 50438, 51643, 51761, 50909, 55363, 55969, 72819, 57824, 72976, 50909, 51116, 73949, 50816, 51121, 50455, 51652, 61063, 51994, 50952, 50461, 52372, 51541, 51871, 51413, 50799, 51531, 51413, 51908, 51413, 51338, 73088, 54158, 54278, 69230, 65940, 50909, 58895, 72538, 52372, 51014, 51531, 51124, 51871, 51110, 51908, 51377, 50438, 50909, 51204, 67826, 50847, 51204, 50816, 73697, 52372, 68660, 51908, 51047, 51871, 51183, 51531, 51047, 54311, 76727, 54158, 50866, 59007, 55175, 50830, 50847, 52390, 50937, 50425, 51652, 76812, 50868, 62641, 50889, 50847, 50807, 51994, 62909, 50873, 50437, 52372, 51362, 50438, 51871, 51351, 51181, 57520, 54158, 50866, 50439, 52330, 51204, 51691, 70447, 70384, 60001, 50935, 58895, 50925, 50799, 52372, 51014, 50935, 51204, 50872, 51204, 79167, 52330, 50938, 51871, 50977, 51691, 56099, 63559, 52372, 51551, 52330, 51295, 51871, 51310, 51691, 51191, 54311, 57044, 54158, 54014, 78333, 50847, 64582, 52390, 50925, 50449, 51993, 50980, 51994, 51346, 51691, 51159, 52330, 59323, 50935, 51159, 78762, 50847, 70229, 50937, 70733, 51196, 52330, 51189, 51994, 50983, 51908, 51141, 51857, 57520, 54158, 53172, 50868, 61914, 55990, 56867, 58866, 51633, 51566, 50847, 51073, 50935, 76800, 51227, 50872, 51227, 52498, 51178, 52330, 51110, 51666, 51116, 51994, 51194, 50816, 50937, 50449, 51643, 51496, 51994, 51790, 50450, 51531, 51790, 52619, 51452, 51338, 73088, 52229, 50878, 50799, 58797, 50847, 55175, 58895, 57499, 50847, 55729, 50808, 50909, 52390, 58020, 51652, 51226, 52619, 51204, 51994, 51191, 51338, 70312, 52229, 56060, 72803, 60304, 50909, 52504, 76888, 51652, 51285, 52619, 51100, 51994, 51111, 64170, 51141, 50909, 51204, 50868, 51191, 50816, 50873, 50425, 52619, 51692, 51994, 62479, 54311, 57044, 52229, 74029, 51643, 51541, 51531, 51413, 51908, 72600, 50847, 57750, 51100, 50868, 56099, 58460, 74877, 60172, 50847, 55107, 50937, 50454, 51652, 50936, 50455, 51994, 50865, 50460, 52372, 51274, 50461, 51994, 51295, 51531, 52136, 50799, 51908, 51141, 51871, 51218, 51338, 57044, 54158, 54278, 66732, 69196, 50847, 58895, 72538, 52372, 64104, 79838, 50909, 51189, 50868, 51189, 51871, 50897, 51531, 50942, 51908, 56949, 50925, 50448, 52372, 51661, 50450, 51531, 51145, 51908, 51183, 51871, 51047, 54311, 57044, 52229, 50845, 50799, 58797, 57137, 50909, 52390, 66031, 51652, 50980, 51994, 52910, 74877, 60172, 50847, 59451, 50937, 50437, 52372, 51541, 50438, 52330, 51295, 51691, 51189, 51871, 51391, 51181, 57520, 74314, 54356, 50847, 60877, 73044, 52704, 62659, 52372, 51030, 51871, 50892, 52330, 50977, 51691, 50917, 50799, 59853, 77295, 50872, 59451, 50937, 50425, 51871, 51115, 52330, 51115, 51691, 74978, 52372, 51285, 54311, 70312, 54158, 68535, 56371, 57137, 50935, 52390, 62955, 51993, 72208, 77295, 50872, 50889, 59853, 51994, 51111, 52330, 51100, 51691, 74451, 50937, 50461, 52113, 51551, 79704, 51141, 52330, 51103, 51908, 51077, 51857, 61846, 54158, 54278, 75329, 50935, 50952, 50868, 53373, 61169, 51994, 51346, 51666, 52424, 51633, 51566, 50848, 75345, 51290, 50935, 51013, 52498, 51346, 50816, 50925, 50449, 51643, 52311, 50450, 51531, 51422, 52619, 51790, 51994, 51790, 51338, 57044, 74314, 50866, 50799, 58797, 80243, 50847, 52704, 53049, 50868, 51162, 50847, 51377, 50909, 68215, 73320, 51633, 51274, 53438, 53259, 51666, 51056, 51349, 51009, 52531, 51024, 56060, 50944, 55175, 50830, 50848, 52390, 50925, 50451, 51666, 50967, 65755, 51045, 50944, 70902, 51013, 68456, 51666, 51346, 50816, 50925, 50425, 51666, 52910, 51633, 51054, 51181, 56681, 52229, 74029, 52113, 63418, 50944, 55175, 69855, 50800, 51908, 55107, 50937, 50449, 53179, 51454, 50450, 50944, 51013, 50909, 76800, 50807, 52939, 50914, 51531, 63591, 50937, 50461, 52372, 51496, 50799, 51871, 51145, 52330, 51675, 51137, 61846, 52229, 50878, 50415, 51994, 51677, 57189, 50830, 50935, 50910, 50847, 53373, 72538, 51633, 52322, 76168, 50848, 55278, 50889, 51666, 58162, 50925, 50449, 51633, 51745, 52330, 51073, 51666, 52728, 51181, 56681, 52229, 75166, 51643, 51566, 51873, 50914, 51531, 50889, 57342, 50830, 74797, 50847, 58162, 50925, 50424, 52135, 51566, 50425, 51994, 51095, 52330, 51157, 57189, 51048, 50935, 51157, 50847, 51346, 50816, 50925, 50436, 51633, 52097, 50437, 51666, 51103, 53438, 51562, 54585, 57520, 54158, 54356, 61325, 69393, 50909, 53373, 50925, 50460, 51667, 51173, 71755 ]
[ 0, 250, 19448, 15855, 2125, 4246, 41, 21979, 8669, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 657, 8, 36474, 13005, 6, 442, 24, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 8504, 11, 5, 762, 9, 211, 3694, 19, 10, 2635, 20889, 9, 1812, 13410, 228, 2289, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 211, 119, 8, 83, 6, 2351, 10, 32625, 8, 5679, 26709, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 50445, 51131, 51422, 50960, 51123, 50960, 52151, 50446, 50947, 52140, 50448, 51067, 52140, 50796, 50436, 53729, 53980, 51788, 50941, 50440, 52866, 50908, 51563, 61577, 51563, 53783, 51786, 60812, 51788, 54492, 51788, 60062, 51563, 58351, 51786, 50837, 51563, 50837, 51786, 50837, 51438, 50863, 51292, 67512, 51549, 56597, 51549, 54194, 51067, 64853, 51438, 57059, 51438, 65736, 51549, 50874, 51809, 51032, 76430, 50947, 51006, 50425, 50947, 51283, 50947, 51803, 50457, 50986, 51080, 50458, 51136, 51417, 50460, 50929, 51391, 50796, 50430, 50947, 64759, 51169, 59370, 50929, 54123, 51444, 52727, 50440, 51131, 51449, 50442, 50960, 51518, 50444, 51078, 52431, 50796, 50455, 50960, 50971, 51131, 51592, 50456, 50947, 52140, 50457, 50960, 52980, 51067, 52528, 50796, 50444, 53729, 54417, 51788, 58914, 52866, 50870, 51563, 50891, 51786, 52846, 51563, 57168, 51786, 66663, 51788, 53553, 51788, 67321, 51563, 57950, 51786, 55053, 51438, 50870, 51292, 50870, 51549, 63414, 51549, 50854, 51601, 51067, 64685, 51438, 54448, 51549, 58116, 51032, 52580, 50947, 51006, 50431, 50947, 51080, 50459, 50986, 51080, 50461, 51136, 51397, 51601, 50929, 51542, 50433, 50947, 57581, 51169, 58159, 50929, 57366, 51444, 52151, 50444, 51131, 54171, 50445, 50960, 51692, 50447, 51078, 53486, 50796, 50445, 51444, 51148, 55753, 52028, 52654, 51131, 57250, 50986, 60733, 51317, 50820, 50960, 56565, 51136, 58927, 72259, 50443, 51136, 53162, 50998, 61719, 57013, 51078, 77828, 50837, 51169, 57785, 50947, 51627, 55753, 50929, 51310, 50440, 51078, 53783, 50929, 77828, 55118, 60674, 50451, 50929, 64314, 51078, 53922, 51078, 64833, 50970, 50829, 50998, 50829, 51136, 52579, 51136, 54678, 66559, 66474, 56624, 50970, 50820, 51136, 54611, 50960, 56554, 50986, 53450, 51246, 51043, 50986, 53908, 51131, 68099, 51207, 62738, 51131, 58545, 51207, 56069, 52028, 62813, 52562, 61230, 51444, 64732, 51725, 61348, 51725, 50820, 53271, 59697, 53271, 50828, 52012, 50917, 76572, 55376, 53092, 50839, 51725, 50820, 53805, 63749, 51444, 55138, 52562, 63897, 51444, 51101, 50451, 53805, 65556, 54432, 52826, 52177, 50929, 52441, 50960, 52256, 50425, 51246, 57648, 50960, 51679, 69695, 50439, 51131, 51381, 51078, 51737, 50447, 51078, 51481, 50960, 51884, 50455, 51444, 51542, 51601, 50986, 51645, 50416, 50960, 51337, 50417, 78249, 50424, 54432, 55844, 50435, 50929, 52618, 64226, 50442, 51246, 51330, 50449, 50960, 51419, 50929, 57092, 51078, 52518, 51131, 51419, 51809, 51078, 52063, 50960, 52063, 50424, 51444, 52140, 50433, 73430, 50441, 51064, 58900, 54432, 53233, 51076, 59692, 51032, 53027, 51316, 50837, 51067, 51965, 50454, 71539, 51064, 51043, 50459, 51246, 51241, 74080, 52441, 50422, 51064, 51884, 50423, 50960, 51210, 50430, 51131, 51642, 50436, 51032, 64643, 51067, 59356, 51549, 61118, 51549, 50829, 51444, 51333, 50443, 51438, 57013, 51549, 57764, 51067, 53938, 51067, 50820, 51549, 64703, 51438, 70566, 54432, 53259, 51067, 62662, 51067, 51419, 52177, 50960, 51333, 51064, 51277, 50422, 51246, 51310, 50424, 51067, 52256, 50432, 51064, 51642, 50433, 70698, 50441, 51131, 51337, 50446, 51032, 54105, 51067, 64732, 51549, 50864, 51444, 51803, 50454, 51438, 55293, 51549, 51126, 50458, 51067, 61764, 51549, 50836, 51601, 51438, 70630, 54432, 54143, 50420, 51067, 51381, 50428, 50960, 51466, 51064, 51277, 50433, 51246, 51391, 50435, 51067, 51333, 50443, 51064, 51254, 50960, 52192, 50451, 51131, 51109, 50457, 51316, 62800, 51067, 50822, 51809, 51292, 51123, 51444, 51803, 50419, 51786, 69264, 51563, 53868, 51563, 65869, 52866, 59509, 51788, 52976, 51788, 66765, 53019, 66059, 53019, 58672, 54432, 56515, 50436, 51064, 51295, 51067, 51419, 50438, 53019, 51022, 50442, 51788, 60073, 51444, 51419, 50446, 51563, 54284, 51788, 51126, 50448, 51563, 77765, 51067, 51254, 51064, 51058, 50460, 51131, 51391, 52591, 51786, 55266, 51788, 52524, 51786, 56789, 51549, 50822, 51444, 51679, 50432, 51032, 51328, 50435, 50947, 50955, 50439, 51078, 58545, 50970, 59721, 50998, 50825, 50998, 53027, 51067, 52011, 54432, 54249, 50452, 50960, 51254, 50457, 51246, 51351, 50460, 51067, 51775, 52591, 51064, 52063, 70183, 50427, 51131, 51253, 50436, 67522, 50439, 51032, 50834, 66946, 50442, 51064, 50870, 50947, 50835, 51444, 53201, 50443, 51064, 71583, 58985, 50449, 51064, 52743, 66703, 50452, 51032, 68384, 50947, 51174, 50460, 54432, 54373, 50461, 51064, 51391, 60212, 68827, 50430, 51076, 51314, 50440, 71657, 50970, 52441, 50449, 51207, 51480, 50459, 50960, 51387, 50460, 70850, 50799, 51076, 55376, 51067, 54275, 51207, 70316, 50418, 51438, 73489, 51786, 53744, 51563, 50834, 52866, 74257, 51563, 51051, 50436, 50986, 51330, 51438, 56305, 51563, 56819, 51438, 69864, 51292, 57502, 51549, 57522, 51549, 50822, 51032, 62077, 51067, 52805, 51136, 51391, 50452, 50929, 51309, 50453, 51067, 51481, 50461, 71314, 72243, 53024, 50419, 51316, 51126, 50424, 51444, 51318, 51549, 63024, 51067, 68564, 51549, 55028, 51292, 50837, 51786, 62618, 51786, 50839, 51563, 60462, 51786, 56030, 51788, 59572, 51788, 53574, 51563, 68273, 52866, 54905, 51788, 59144, 53019, 60362, 53019, 50822, 51444, 56599, 50446, 51788, 54914, 53729, 63078, 53729, 55634, 53568, 50982, 52866, 51129, 51563, 51129, 50451, 51786, 51851, 50453, 51563, 68357, 51786, 55293, 51788, 62662, 51788, 57187, 51563, 59025, 51786, 50837, 51438, 50863, 51292, 50863, 51549, 50870, 50799, 51549, 74714, 69554, 50419, 51438, 63630, 51549, 63339, 51032, 60950, 50947, 75988, 50929, 71588, 50929, 52192, 50434, 51136, 60831, 60917, 51078, 70511, 51444, 51244, 50439, 51078, 51642, 50443, 78348, 50448, 54432, 51452, 50459, 50929, 51709, 72377, 52478, 52562, 51109, 50425, 78445, 51246, 51166, 50429, 51444, 52378, 50432, 58999, 51351, 50439, 50986, 51025, 51169, 51884, 50446, 54432, 51961, 50447, 51444, 51961, 50455, 51078, 52063, 51131, 54298, 50960, 51884, 51601, 54432, 51790, 50422, 50929, 51419, 51246, 51679, 50430, 52562, 56389, 51246, 51753, 50929, 51277, 50446, 58999, 51391, 50454, 51169, 52059, 50986, 51309, 50459, 54432, 52256, 60533, 52015, 50422, 51131, 50933, 50960, 51177, 50429, 51064, 58854, 54432, 54249, 51076, 56657, 51032, 52953, 51316, 57107, 51067, 51542, 50439, 69947, 51064, 51109, 50445, 51246, 51310, 50449, 51067, 51542, 50457, 50960, 54887, 51064, 51309, 52177, 51131, 51400, 50424, 51032, 63024, 51067, 56789, 51549, 60286, 51549, 50857, 51444, 51148, 50432, 51438, 65312, 51549, 64359, 51067, 53269, 51067, 50835, 51549, 59138, 51438, 50878, 50445, 51067, 51679, 54432, 58651, 50453, 51064, 51242, 71539, 50458, 51246, 51134, 50460, 51067, 51679, 52591, 70698, 51064, 51753, 50428, 51131, 77313, 51032, 61842, 51067, 50822, 50440, 51444, 51145, 51549, 63776, 51438, 68937, 51549, 51126, 50446, 51067, 64598, 51549, 65780, 51438, 65002, 54432, 53487, 50455, 51067, 51542, 50799, 51064, 51328, 50415, 50960, 51051, 50419, 51246, 51241, 50422, 51067, 51709, 50430, 79748, 50960, 51210, 50437, 51131, 51255, 50443, 51316, 58638, 51067, 54385, 51292, 50844, 51444, 51452, 50453, 51292, 50829, 51786, 66968, 51563, 53555, 51563, 61688, 52866, 54026, 51788, 58841, 51788, 50942, 51809, 51788, 50839, 53019, 65314, 54432, 52335, 50421, 51064, 51391, 50422, 51067, 51542, 50424, 53019, 67322, 51788, 77285, 51444, 51679, 51563 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 15855, 16882, 6, 4246, 21979, 8669, 6, 13305, 6, 2003, 38704, 31365, 25999, 6, 21979, 9590, 6, 8, 3459, 8669, 4, 8504, 11, 5, 762, 9, 274, 3694, 19, 10, 7212, 20889, 6, 24, 7630, 6568, 10, 19448, 8, 2365, 5466, 6, 1969, 13, 5, 1619, 191, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 19, 5, 40286, 230, 406, 8, 274, 119, 36830, 5705, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 54204, 51100, 70864, 61531, 58386, 50882, 51729, 50942, 51543, 50933, 52459, 51008, 51863, 52440, 52036, 52147, 52735, 52440, 50420, 54021, 51157, 54547, 52102, 51267, 51414, 51267, 51825, 51267, 50426, 57713, 56897, 59268, 50800, 51729, 50977, 51543, 51142, 52459, 67673, 51793, 50937, 54547, 52102, 50933, 51303, 50933, 51414, 50933, 51786, 52446, 51793, 51111, 57713, 56897, 59268, 50812, 51513, 51051, 51355, 51058, 51536, 51254, 51656, 52440, 52340, 52147, 52036, 52440, 51504, 50889, 51136, 50889, 69160, 51438, 52815, 51150, 51121, 54547, 51687, 51267, 51249, 51267, 52109, 51267, 52948, 51267, 51549, 52596, 51216, 51121, 57713, 56897, 59268, 50800, 51513, 51142, 51355, 51174, 51536, 69096, 51140, 50805, 70864, 54791, 63102, 52965, 50596, 50800, 51687, 50933, 51303, 50933, 51249, 50933, 51327, 50933, 51513, 50873, 51355, 50901, 51536, 50892, 51316, 50808, 75289, 51032, 50808, 54204, 54312, 54092, 55629, 51861, 50882, 51729, 50942, 51543, 50933, 52459, 51008, 51863, 52440, 52036, 52147, 52735, 52440, 53271, 50805, 67830, 51064, 50805, 51316, 52864, 51261, 50889, 54547, 52102, 51267, 51414, 51267, 51825, 51267, 50426, 57713, 54336, 59268, 50800, 51729, 50977, 51543, 51142, 52459, 67673, 51793, 54367, 50822, 52102, 50933, 51303, 50933, 51414, 50933, 51549, 52446, 67603, 57713, 54336, 59268, 50812, 51687, 51047, 51651, 51047, 51249, 51047, 51327, 51047, 51513, 51051, 51355, 51058, 51536, 51254, 51656, 52440, 52340, 52440, 51504, 50889, 51136, 50889, 69160, 51316, 52815, 50804, 56897, 50822, 51032, 50805, 52612, 52843, 51140, 50915, 57713, 50812, 62807, 59268, 50800, 51513, 51142, 51355, 51174, 51536, 69096, 70864, 54791, 63102, 52965, 50596, 50800, 51513, 50873, 51355, 50901, 51536, 50892, 51064, 53848, 78129, 54204, 54312, 54092, 50812, 66707, 50882, 52102, 51047, 51414, 51047, 51825, 51047, 51729, 50942, 51543, 50933, 52459, 51008, 51863, 52440, 52036, 52440, 53271, 50805, 74987, 67830, 51064, 52864, 51261, 57038, 52921, 57713, 56897, 59268, 50800, 51729, 50977, 51543, 51142, 52459, 67673, 51793, 54367, 50822, 51504, 52446, 67603, 57713, 56897, 59268, 50812, 51687, 51047, 51719, 51047, 51249, 51047, 52109, 51047, 51513, 51051, 51355, 51058, 51536, 51254, 51656, 52440, 52340, 52147, 52036, 52440, 58397, 55480, 50856, 53140, 51140, 50915, 57713, 56897, 59268, 50800, 51513, 51142, 51355, 51174, 51536, 51376, 51504, 55069, 70864, 56558, 63102, 52965, 50596, 50800, 51513, 50873, 51355, 50901, 51536, 60977, 52365, 50822, 54204, 51100, 57986, 55629, 51861, 50882, 51729, 50942, 51543, 50933, 52459, 51008, 51863, 52440, 52036, 52147, 52735, 52440, 50420, 54021, 51157, 54547, 52102, 51267, 51414, 51267, 51825, 51267, 50423, 52365, 71607, 57713, 56897, 59268, 58915, 50812, 51729, 50977, 51543, 51142, 52459, 51051, 53271, 52605, 51793, 50937, 54547, 52102, 50933, 51303, 50933, 51414, 56180, 51793, 50943, 57713, 56897, 59268, 77083, 50810, 51513, 51051, 51355, 51058, 51536, 51254, 51656, 52440, 52340, 52147, 52036, 52440, 56752, 60573, 50812, 51687, 51267, 51719, 51267, 51249, 51267, 52109, 51267, 51504, 59414, 52365, 53140, 51150, 50981, 57713, 56897, 59268, 58915, 50812, 51513, 51142, 51355, 51174, 51536, 51376, 58397, 63433, 52365, 53820, 70864, 54791, 63102, 52965, 50596, 50812, 51687, 50933, 51303, 50933, 51249, 50933, 51327, 50933, 51513, 50873, 51355, 50901, 51536, 60977, 52365, 50822, 54204, 50915, 51935, 51610, 51907, 51420, 62691, 50810, 52102, 50981, 51414, 50981, 51825, 50981, 51729, 50942, 51543, 50933, 52459, 51008, 50417, 51553, 59078, 52921, 51140, 50915, 59417, 51420, 50822, 53075, 50915, 51303, 50915, 51513, 50866, 51355, 50974, 51536, 51074, 51361, 52691, 51261, 50915, 59417, 59734, 58290, 50812, 55285, 50915, 52102, 50995, 51414, 50995, 51825, 50995, 51729, 50942, 51543, 50933, 52459, 51008, 51180, 65689, 54803, 51224, 53567, 51560, 51162, 59417, 50812, 51230, 55801, 50810, 56139, 50915, 51476, 50995, 51687, 50995, 51719, 50995, 51414, 50995, 51223, 50866, 51659, 50974, 51543, 51074, 52028, 50889, 51078, 50889, 54598, 50943, 67966, 50943, 57355, 50943, 53152, 79075, 51224, 55346, 51930, 50805, 70864, 64817, 54791, 50882, 52198, 65689, 50800, 53202, 50943, 51935, 51610, 51907, 51420, 55456, 50800, 53075, 51313, 51687, 51452, 51249, 51742, 51327, 52168, 51513, 50942, 51355, 50933, 51536, 51008, 51504, 50805, 67830, 52861, 50873, 68645, 50873, 54978, 50873, 52103, 50873, 68072, 51793, 50943, 59417, 51420, 50822, 51513, 50977, 51355, 51142, 51536, 51051, 76901, 51136, 50889, 51361, 50822, 58397, 50805, 69604, 54598, 50873, 68645, 50873, 57355, 50873, 53152, 54233, 51150, 50943, 59417, 51420, 50822, 51513, 51058, 51355, 51254, 51536, 51376, 51504, 50805, 70804, 52861, 50873, 68645, 50873, 54978, 50873, 52103, 50873, 63047, 51327, 73580, 51216, 51121, 59417, 64133, 51249, 51645, 51513, 51006, 51355, 52192, 51536, 52192, 50456, 51150, 50937, 70864, 54791, 50882, 51687, 50857, 51513, 50873, 51355, 50901, 51536, 50845, 58397, 50805, 51131, 50805, 51136, 50805, 54598, 50873, 68645, 50873, 57355, 50873, 53152, 50873, 75289, 53202, 50943, 70864, 51589, 50800, 53075, 51445, 51687, 51790, 51249, 51742, 51327, 52168, 51513, 50978, 51355, 50972, 51536, 50974, 51504, 50805, 67830, 52861, 50873, 68645, 50873, 54978, 50873, 52103, 50873, 56911, 66309, 53037, 50873, 57624, 50873, 57454, 50873, 52489, 53890, 51793, 50943, 59417, 51420, 50822, 51513, 50878, 51355, 51008, 51536, 50933, 51136, 50805, 66309, 51032, 50805, 51756, 50873, 52155, 50873, 53862, 50873, 51683, 50873, 51361, 50822, 58397, 52446, 51150, 50943, 59417, 51420, 50822, 51513, 50959, 51355, 52192, 51536, 51376, 51504, 50805, 63047, 51327, 75926, 51216, 51178, 59417, 64133, 51249, 50995, 51513, 50866, 51355, 51174, 51536, 51174, 58397, 50889, 76901, 51136, 50889, 51078, 50889, 54598, 50943, 68645, 50943, 57355, 50943, 53152, 58705, 51150, 50937, 70864, 55603, 50882, 51687, 50937, 51513, 50901, 51355, 50845, 51536, 50892, 54204, 50889, 51935, 51610, 51907, 51420, 50800, 52102, 51293, 51414, 51293, 51825, 51293, 51729, 50942, 51543, 50933, 52459, 51008, 53271, 50805, 67830, 52861, 50873, 57789, 50873, 54978, 50873, 52103, 50873, 68072, 54021, 51003, 59417, 51420, 50822, 51729, 50977, 51543, 51142, 52459, 51051, 51246, 50889, 51317, 50889, 51361, 50822, 58397, 50805, 69604, 54598, 50873, 55830, 50873, 57355, 50873, 53152, 54233, 51793, 50943, 59417, 51420, 50822, 51729, 51058, 51543, 51254, 52459, 51376, 53271, 50805, 67830, 52861, 50873, 57789, 50873, 54978, 50873, 52103, 50873, 63047, 55386, 79766, 51868, 50978, 59417, 64133, 51825, 50995, 51729, 51006, 51543, 52192, 52459, 52192, 51246, 50889, 51317, 55069, 51216, 50897, 70864, 54791, 50882, 52932, 50838, 51729, 50873, 51543, 50901, 52459, 50845, 58397, 50805, 69604, 54598, 50873, 67966, 50873, 57355, 50873, 53152, 50873, 75289, 54204, 51310, 50804, 51589, 50800, 55285, 51148, 52102, 51148, 51414, 51148, 52109, 51703, 51729, 50942, 51543, 50933, 52459, 51008, 67830, 52861, 50873, 57789, 50873, 54978, 50873, 52103, 50873, 56911, 51064, 50805, 52280, 50873, 57789, 50873, 54899, 50873, 51906, 53890, 59417, 53497, 64176, 51729, 50977, 51543, 51142, 52459, 51051 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 25771, 2214, 19, 10, 980, 219, 8, 3366, 219, 16464, 6, 4246, 23338, 33518, 1264, 6, 13602, 6757, 6, 12280, 3275, 1725, 3109, 6, 3459, 8669, 6, 8, 38668, 11212, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 7212, 20889, 9, 8017, 741, 1685, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 163, 428, 406, 6, 12608, 73, 387, 428, 6, 2060, 6, 8, 12608, 119, 1176, 406, 3639, 7, 5, 2214, 18, 5679, 26709, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 51287, 50399, 50426, 51287, 50399, 50438, 51287, 50399, 50450, 51287, 50399, 55563, 51381, 51223, 50838, 51513, 77541, 50288, 51381, 70876, 54880, 58253, 50838, 50416, 61144, 52062, 50420, 52007, 56700, 56909, 51223, 50827, 51513, 52580, 52943, 50838, 51781, 55284, 58253, 53052, 52527, 50838, 51105, 51381, 51781, 77541, 50283, 51381, 50804, 58253, 52718, 51513, 53656, 58253, 53624, 52943, 50838, 51781, 58253, 52985, 52527, 51484, 51325, 51484, 51513, 77541, 50288, 51484, 50804, 58253, 53581, 51223, 58253, 50838, 52354, 51381, 52007, 50838, 51223, 50838, 72410, 51381, 57571, 63854, 58253, 54177, 51425, 56700, 56909, 52007, 50827, 51223, 52580, 51850, 50838, 51262, 55284, 58253, 53052, 51756, 50838, 51133, 51381, 51262, 50838, 62613, 51381, 50804, 58253, 52718, 51223, 53656, 58253, 53624, 51850, 50838, 51262, 58253, 52985, 51756, 51484, 50945, 51484, 51262, 50838, 72410, 51484, 50804, 58253, 53581, 51223, 58253, 50838, 55563, 51381, 51223, 50838, 51513, 77541, 50288, 51381, 70876, 63854, 58253, 54177, 52007, 56700, 56909, 51223, 50827, 51513, 52580, 52943, 50838, 51781, 55284, 58253, 53052, 52527, 50838, 51105, 51381, 51781, 77541, 50283, 51381, 50804, 58253, 52718, 51513, 53656, 58253, 53624, 52943, 50838, 51781, 58253, 52985, 52527, 51484, 51325, 51484, 51513, 77541, 50288, 51484, 50804, 58253, 53581, 51223, 58253, 50838, 53870, 51381, 51250, 50838, 51543, 77541, 50283, 51381, 56917, 51243, 58828, 51243, 61535, 63854, 58253, 54177, 51513, 56700, 56909, 51250, 50827, 51543, 52580, 53016, 50838, 52459, 55284, 58253, 53052, 51992, 50838, 51186, 51381, 52459, 50838, 64770, 51381, 50804, 58253, 52718, 51543, 53656, 58253, 53624, 52527, 50838, 52459, 58253, 52985, 52280, 51484, 51105, 51484, 51543, 77541, 50283, 51484, 50804, 58253, 53581, 51250, 58253, 50838, 50799, 53952, 50838, 51325, 51381, 51223, 50838, 51513, 77541, 50288, 51381, 58683, 50838, 70876, 54880, 53284, 75327, 50838, 50416, 61144, 52062, 50420, 56676, 50838, 52007, 50827, 60914, 53284, 56909, 51223, 50827, 51513, 52580, 56676, 50838, 52943, 50838, 51781, 50838, 60914, 55284, 53284, 53052, 55561, 50838, 52527, 50838, 51105, 51381, 51781, 77541, 50283, 51381, 53382, 55284, 53284, 52718, 55561, 50838, 51513, 50838, 53382, 53656, 53284, 53624, 55745, 50838, 52943, 50838, 51781, 50838, 53640, 55559, 52985, 55745, 50838, 52527, 51484, 51325, 51484, 51513, 77541, 50288, 51484, 53640, 55284, 53284, 53581, 60587, 50838, 51223, 50838, 54073, 76474, 50799, 55745, 51484, 52022, 51381, 51262, 50838, 51781, 50838, 66819, 51381, 53640, 51484, 79358, 51243, 57571, 63854, 53284, 54177, 51729, 54225, 56909, 51262, 50827, 51781, 52580, 60587, 50838, 52861, 50838, 52459, 50838, 54073, 55284, 53284, 53052, 60587, 51680, 52840, 50838, 51325, 51381, 52459, 77541, 50288, 51381, 54073, 51680, 50804, 53284, 52718, 51781, 53656, 53284, 53624, 52861, 50838, 52459, 53284, 52985, 52840, 51484, 52022, 51484, 52459, 50838, 66819, 51484, 50804, 53284, 53581, 51781, 76474, 50799, 53952, 50838, 51325, 51381, 51223, 50838, 51513, 77541, 50288, 51381, 58683, 50838, 70876, 51243, 61144, 63854, 53284, 54177, 56676, 50838, 52007, 50827, 60914, 53284, 56909, 51223, 50827, 51513, 52580, 56676, 50838, 52943, 50838, 51781, 50838, 60914, 55284, 53284, 53052, 55561, 50838, 52527, 50838, 51105, 51381, 51781, 77541, 50283, 51381, 53382, 55284, 53284, 52718, 55561, 50838, 51513, 50838, 53382, 53656, 53284, 53624, 55745, 50838, 52943, 50838, 51781, 50838, 53640, 55559, 52985, 55561, 50838, 52527, 51484, 51325, 51484, 51513, 77541, 50288, 51484, 53382, 55284, 53284, 53581, 56676, 50838, 51223, 50838, 60914, 76474, 50799, 56676, 51627, 51105, 51381, 51250, 50838, 51543, 77541, 50283, 51381, 60914, 51627, 56917, 51243, 58828, 51243, 61535, 63854, 53284, 54177, 51513, 54225, 56909, 51250, 50827, 51543, 52580, 53016, 50838, 52459, 55284, 53284, 53052, 51992, 50838, 51186, 51381, 52459, 50838, 64770, 51381, 50804, 53284, 52718, 51543, 53656, 53284, 53624, 52527, 50838, 52459, 53284, 52985, 52280, 51484, 51105, 51484, 51543, 77541, 50283, 51484, 50804, 53284, 53581, 60587, 50838, 51250, 50838, 54073, 76474, 50799, 53952, 50838, 51325, 51381, 51223, 50838, 51513, 77541, 50288, 51381, 58683, 50838, 70876, 54880, 76474, 50416, 61144, 52062, 50420, 56676, 50838, 52007, 50827, 60914, 53284, 56909, 51223, 50827, 51513, 52580, 56676, 50838, 52943, 50838, 51781, 50838, 60914, 55284, 53284, 53052, 55561, 50838, 52527, 50838, 51105, 51381, 51781, 77541, 50283, 51381, 53382, 55284, 53284, 52718, 55561, 50838, 51513, 50838, 53382, 53656, 53284, 53624, 55745, 50838, 52943, 50838, 51781, 50838, 53640, 55559, 52985, 55745, 50838, 52527, 51484, 51325, 51484, 51513, 77541, 50288, 51484, 53640, 55284, 53284, 53581, 60587, 50838, 51223, 50838, 54073, 76474, 50799, 55745, 51484, 52022, 51381, 51262, 50838, 51781, 50838, 66819, 51381, 53640, 51484, 79358, 51243, 57571, 63854, 53284, 54177, 51729, 54225, 56909, 51262, 50827, 51781, 52580, 60587, 50838, 52861, 50838, 52459, 50838, 54073, 55284, 53284, 53052, 60587, 51627, 52840, 50838, 51325, 51381, 52459, 77541, 50288, 51381, 54073, 51627, 50804, 53284, 52718, 51781, 53656, 53284, 53624, 52861, 50838, 52459, 53284, 52985, 52840, 51484, 52022, 51484, 52459, 50838, 66819, 51484, 50804, 53284, 53581, 57533, 50838, 51781, 50838, 52342, 76474, 50799, 60587, 50838, 51325, 51381, 51223, 50838, 51513, 77541, 50288, 51381, 54073, 50838, 61144, 51627, 55841, 77005, 53284, 54177, 55745, 50838, 52007, 50827, 53640, 53284, 56909, 51223, 50827, 51513, 52580, 60587, 50838, 51781, 50838, 54073, 55284, 53284, 53052, 55745, 50838, 51325, 50838, 51781, 77541, 50288, 50838, 53640, 55284, 53284, 52718, 57533, 51484, 51105, 51484, 50741, 50283, 51484, 52342, 51484, 70876, 51627, 56917, 77005, 53284, 53624, 51513, 55249, 57060, 51250, 50827, 51543, 52989, 57457, 50838, 51105, 51484, 52459, 77541, 50283, 51484, 52205, 55284, 53284, 53581, 60587, 51381, 52459, 50838, 54073, 79886, 50838, 55563, 51484, 50741, 50288, 51484, 61144, 51627, 55841, 77005, 53284, 54177, 52007, 54225, 67132, 51756, 67829, 51223, 50827, 51513, 52580, 52527, 51277, 51105, 50838, 51781, 77541, 50283, 55284, 53284, 53052, 51105, 50838, 51781, 77541, 50283, 55284, 53284, 68232, 52943, 56180, 53016, 51484, 50945, 50838, 72410, 50838, 56917, 50825, 58828, 54880, 76474, 50440, 61535, 51627, 50444, 50945, 50838, 51513, 50827, 72410, 55284, 54225, 54043, 51250, 50827, 51543, 54965, 52989, 51992, 50838, 50953, 50838, 52459, 50838, 68008, 76474, 51456, 53581, 60587, 50838, 52527, 50838, 50953, 50838, 52459, 50838, 68008, 50838, 54073, 76474, 51326, 50838, 50799, 53952, 50838, 51325, 51381, 51223, 50838, 51513, 77541, 50288, 51381, 58683, 50838, 70876, 54880, 53284, 75327, 50838, 50416, 61144, 52062, 50420, 56676, 50838, 52007, 50827, 60914, 53284, 56909, 51223, 50827, 51513, 52580, 56676, 50838, 52943, 50838, 51781, 50838, 60914, 55284, 53284, 53052, 55561, 50838, 52527, 50838, 51105, 51381, 51781, 77541, 50283, 51381, 53382, 55284, 53284, 52718, 55561, 50838, 51513, 50838, 53382, 53656, 53284, 53624, 55745, 50838, 52943, 50838, 51781, 50838, 53640, 55559, 52985, 55745, 50838, 52527, 51484, 51325, 51484, 51513, 77541, 50288, 51484, 53640, 55284, 53284 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 19834, 16464, 6, 4246, 21979, 8669, 6, 13305, 6, 3152, 6757, 6, 31391, 1672, 9590, 6, 8, 2236, 1021, 2678, 29, 4, 85, 34, 10, 1372, 8, 11653, 6711, 6, 19, 10, 11602, 9, 1619, 4780, 4, 20, 2214, 16, 11, 5, 762, 9, 381, 538, 6, 34, 10, 1769, 20889, 9, 9680, 163, 5683, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 16, 381, 6, 230, 10431, 119, 406, 6, 274, 10431, 119, 406, 6, 8, 163, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50444, 53245, 56827, 51953, 57241, 53245, 50923, 50799, 52421, 52362, 50301, 50896, 51844, 51573, 50420, 53245, 51054, 57025, 75209, 57543, 63057, 50807, 52456, 51090, 51855, 64049, 51953, 51552, 51844, 51573, 63809, 59368, 56036, 57981, 50795, 52456, 50911, 51855, 56646, 51027, 75209, 57543, 63057, 50807, 52456, 50911, 51855, 56160, 52456, 50911, 51855, 56210, 51027, 59368, 56036, 57981, 50795, 52456, 50911, 51855, 50911, 59130, 50896, 52456, 50911, 51855, 50911, 51640, 51573, 50420, 54570, 51090, 52708, 67566, 51378, 51958, 50310, 57543, 63057, 53182, 54570, 51496, 52708, 51496, 51640, 52311, 50438, 51378, 64935, 56036, 57981, 51918, 51953, 52362, 50298, 51958, 50310, 57543, 63057, 52728, 52421, 57241, 51953, 52362, 50298, 64935, 56036, 57981, 50795, 50799, 53146, 52369, 51324, 50896, 51857, 51573, 50426, 51324, 68993, 65287, 60939, 50807, 52708, 51090, 51855, 64049, 51857, 52311, 50438, 51324, 59238, 59625, 56190, 50795, 52708, 50911, 51855, 56646, 51324, 68993, 65287, 60939, 50807, 52708, 50911, 51855, 56160, 52333, 50923, 52708, 50911, 51855, 56210, 51617, 73519, 59238, 59625, 56190, 50795, 52708, 50911, 51855, 50911, 50799, 52333, 52362, 50296, 50896, 52708, 50911, 51855, 50911, 51374, 51573, 50420, 51953, 51552, 52456, 51090, 52753, 67566, 51315, 75209, 51161, 50965, 51161, 50973, 73078, 52456, 51496, 52753, 51496, 51374, 52311, 50438, 51315, 61618, 51315, 55920, 51315, 57674, 51315, 54988, 51315, 54780, 50818, 53061, 53173, 51315, 54780, 50846, 52198, 50846, 65309, 50943, 51574, 51003, 61447, 51317, 73657, 50806, 51844, 51573, 59468, 54925, 70700, 50947, 60115, 53245, 52362, 50301, 51274, 61862, 51953, 50923, 52012, 50943, 51574, 51003, 61447, 74328, 52574, 50934, 56171, 70700, 50947, 57547, 51953, 50923, 51844, 51014, 59640, 53294, 51953, 50923, 52012, 50873, 51574, 50901, 72878, 51317, 51455, 50296, 50806, 51844, 52097, 65986, 59575, 50998, 62874, 55200, 51953, 51552, 52012, 50943, 51574, 51003, 61447, 51317, 51619, 50296, 51274, 52093, 50445, 70700, 50947, 50981, 52320, 54866, 52349, 52012, 50873, 51574, 50901, 72878, 51317, 50845, 52093, 50457, 50998, 62874, 50892, 50799, 52977, 51054, 53805, 50943, 51846, 51003, 74328, 50998, 51619, 50293, 50806, 51957, 51573, 65986, 56868, 51169, 50981, 51316, 60115, 51360, 51274, 61862, 51617, 50923, 53805, 50873, 51846, 50901, 51317, 50845, 66286, 52574, 50934, 56171, 71886, 51316, 54100, 52977, 51054, 53805, 51675, 51846, 51790, 51317, 51452, 50998, 51452, 51957, 51014, 59640, 65109, 51169, 51742, 51316, 51742, 50438, 51360, 50806, 51957, 52097, 65986, 53675, 52977, 52362, 50293, 51274, 61741, 52977, 50923, 52574, 50934, 52349, 52977, 50923, 52093, 50799, 52421, 51054, 53092, 50943, 52028, 51003, 51311, 50915, 50960, 51619, 50291, 50806, 51857, 51573, 65986, 56868, 51078, 50981, 51076, 60115, 51324, 51274, 61862, 51953, 50923, 53092, 50943, 52028, 51003, 51311, 50915, 64226, 52708, 51090, 51855, 51090, 52574, 50934, 56171, 51078, 50981, 51076, 57547, 53144, 51552, 51857, 51014, 59640, 53294, 53092, 50873, 52028, 50901, 51311, 50845, 50960, 51455, 50291, 50806, 52708, 51090, 51855, 51090, 51857, 52097, 65986, 59575, 74893, 51076, 55200, 53092, 50943, 52028, 51003, 51311, 50915, 50960, 51619, 50291, 51274, 52093, 50445, 51078, 50981, 51076, 57105, 52708, 51090, 51855, 51090, 52574, 50934, 52349, 53092, 50873, 52028, 50901, 51311, 50845, 50960, 56015, 57430, 74893, 69239, 65962, 50943, 51846, 51003, 64226, 50998, 51619, 50296, 50806, 52708, 50911, 51855, 50911, 51374, 51573, 65986, 56868, 51076, 60115, 51315, 51274, 52456, 51090, 52753, 51090, 61862, 75760, 51846, 50901, 62151, 66286, 52574, 50934, 56171, 51076, 54100, 51574, 50943, 51846, 51003, 64226, 69164, 52456, 51496, 52753, 51496, 51374, 51014, 59640, 65109, 51076, 56692, 51315, 50806, 51374, 51014, 65986, 53675, 75760, 51846, 50901, 62151, 50998, 51455, 50296, 50806, 51374, 51014, 52093, 50445, 51076, 54058, 75760, 51846, 50901, 62151, 50998, 51455, 50298, 50806, 51640, 51014, 52574, 50934, 56086, 51076, 54771, 52012, 51218, 51574, 51295, 51131, 51115, 51317, 51115, 51176, 50806, 51602, 51014, 75194, 59169, 50998, 51310, 50947, 51310, 52198, 50846, 56310, 50806, 51349, 51573, 65986, 53336, 51953, 52362, 50301, 51274, 61862, 51953, 50923, 52012, 50873, 51574, 50901, 72878, 51317, 50845, 52574, 50934, 56171, 50998, 62874, 54100, 51953, 50923, 52012, 50943, 51574, 51003, 61447, 74328, 51349, 51014, 59640, 65109, 70700, 50947, 56692, 51953, 52362, 50296, 50806, 51374, 51603, 65986, 53675, 51953, 51552, 52012, 50873, 51574, 50901, 72878, 51317, 51455, 50296, 51274, 52093, 50445, 50998, 62874, 54058, 52012, 50873, 51574, 50901, 72878, 51317, 50845, 52574, 50934, 56086, 50998, 62874, 54771, 52012, 50873, 51574, 50901, 72878, 51317, 50845, 52093, 50457, 50998, 62874, 50892, 50799, 52977, 51054, 53805, 50943, 51846, 51003, 74328, 50998, 51619, 50293, 50806, 51957, 51573, 65986, 56868, 51169, 50981, 51316, 60115, 51360, 51274, 61862, 51617, 50923, 53805, 50873, 51846, 50901, 51317, 50845, 66286, 52574, 50934, 56171, 71886, 51316, 54100, 52977, 51054, 53805, 50943, 51846, 51003, 74328, 69164, 51957, 51014, 59640, 65109, 51169, 50981, 51316, 56692, 51360, 50806, 51602, 51603, 65986, 53675, 52977, 50923, 53805, 50873, 51846, 50901, 51317, 50845, 50998, 51455, 50293, 51274, 52093, 50445, 71886, 51316, 54058, 52977, 50923, 53805, 50873, 51846, 50901, 51317, 50845, 66286, 52574, 50934, 56086, 71886, 51316, 54771, 52977, 50923, 53805, 50873, 51846, 50901, 51317, 50845, 66286, 52093, 50457, 71886, 51316, 50892, 50799, 52421, 51054, 53092, 50943, 52028, 51003, 51311, 50915, 50960, 51619, 50291, 50806, 51857, 51573, 65986, 56868, 51078, 50981, 51076, 60115, 51324, 51274, 61862, 51953, 50923, 53092, 50873, 52028, 50901, 51311, 50845, 62151, 52708, 51090, 51855, 51090, 52574, 50934, 56171, 74893, 51076, 54100, 53144, 51552, 53092, 50943, 52028, 51003, 51311, 50915, 64226, 51857, 51014, 59640, 65109, 51078, 50981, 51076, 56692, 51324, 50806, 52708, 51090, 51855, 51090, 51640, 51603, 65986, 53675, 53092, 50873, 52028, 50901, 51311, 50845, 50960, 51455, 50291, 51274, 52093, 50445, 74893, 51076, 54058, 53092, 50873, 52028, 50901, 51311, 50845, 62151, 52708, 51090, 51855, 51090, 52574, 50934, 56086, 74893, 51076, 54771, 53092, 50873, 52028, 50901, 51311, 50845, 50960, 56015, 57430, 74893, 69239, 65962, 50943, 51846, 51003, 64226, 50998, 51619, 50296, 50806, 52708, 50911, 51855, 50911, 51374, 51573, 65986, 56868, 51076, 60115, 51315, 51274, 52456, 51090, 52753, 51090, 61862, 75760, 51846, 50901, 62151, 66286, 52574, 50934, 56171, 51076, 54100, 51574, 50943, 51846, 51003, 64226, 69164, 52456, 51496, 52753, 51496, 51374, 51014, 59640, 65109, 51076, 56692, 51315, 50806, 51374, 51014, 65986, 53675, 53245, 50923, 75760, 51846, 50901, 62151, 50998, 51455, 50296, 50806, 51374, 51014, 52093, 50445, 51076, 54058, 51953, 50923, 75760, 51846, 50901, 62151, 50998, 51455, 50298, 50806, 51640, 51014, 52574, 50934, 56086, 51076, 54771, 53245, 50923, 75760, 51846, 50901, 62151, 50998, 51455, 50300, 50806, 51602, 51014, 75194, 59169, 69239, 52198, 50846, 50799, 52421, 50923, 52012, 50943, 51574, 51003, 61447, 51317, 73657, 50896, 51349, 51573, 59468, 54925, 70700 ]
[ 0, 250, 5679, 26709, 8, 19448, 5175, 19834, 4246, 38668, 22052, 6, 13305, 6, 32017, 6, 8, 3551, 139, 6, 278, 11, 5, 762, 9, 211, 538, 19, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 20307, 149, 10, 33215, 13931, 9, 83, 6, 211, 6, 83, 6, 163, 119, 406, 6, 8, 381, 406, 6, 2351, 41, 9066, 8, 15352, 30054, 5466, 20455, 9, 10, 822, 1471, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 50796, 57530, 50441, 50627, 50442, 50622, 50443, 50622, 50444, 50623, 51120, 59625, 60358, 64151, 50914, 61372, 50901, 52016, 51003, 50445, 50623, 50446, 50623, 50447, 50623, 50448, 50624, 50449, 50624, 50450, 50624, 51315, 54828, 60358, 50849, 67348, 50901, 50451, 50624, 50452, 50624, 50453, 50625, 50454, 50625, 50455, 50625, 50456, 50626, 51378, 62530, 58800, 59353, 50873, 63827, 50901, 52233, 73363, 50626, 50458, 50626, 50459, 50626, 50460, 50627, 50461, 50627, 57530, 51086, 58532, 51734, 50299, 68900, 51675, 55464, 51183, 54549, 51003, 50415, 50627, 61104, 60015, 50943, 53496, 56509, 51026, 64151, 64449, 50901, 55464, 50845, 52016, 53999, 51026, 57094, 61622, 59374, 50845, 55464, 54058, 51026, 57864, 64449, 60946, 51514, 50287, 50914, 63995, 50915, 55464, 53586, 51086, 59537, 57348, 59374, 50845, 54549, 50892, 57530, 51120, 71942, 63142, 58421, 61739, 50915, 61372, 50892, 55500, 50892, 50416, 50627, 50417, 50627, 50418, 50627, 50420, 50627, 50899, 50892, 52016, 78232, 50626, 50423, 50626, 50424, 50626, 50426, 50626, 51040, 71274, 51310, 50877, 51310, 53496, 68751, 50626, 50429, 50626, 50430, 50626, 50432, 50625, 51086, 50892, 54549, 50974, 50433, 50625, 50435, 50625, 50436, 50625, 50437, 50622, 50438, 50622, 51027, 50892, 55500, 77046, 50626, 50444, 50626, 51378, 62035, 50905, 63827, 50974, 50448, 50626, 50450, 51378, 62035, 51644, 50294, 50915, 61372, 51097, 63827, 70184, 50626, 50456, 51027, 79322, 50974, 55500, 50838, 54868, 73657, 75286, 61817, 51803, 61372, 51097, 55500, 51097, 50417, 50625, 50426, 51315, 69836, 52019, 50305, 51097, 67348, 50932, 55464, 50932, 50430, 50625, 50431, 50625, 50433, 50625, 50435, 50625, 50437, 50625, 66240, 51568, 50298, 58754, 50838, 61372, 50838, 63827, 70381, 50625, 50441, 50625, 50443, 50624, 69375, 77955, 51260, 50289, 51318, 75154, 51637, 55500, 50972, 50445, 50624, 50447, 50624, 50450, 50624, 51027, 77955, 63141, 50932, 55464, 50932, 50452, 50624, 50454, 50624, 50456, 50624, 51040, 67336, 50972, 50458, 50623, 50460, 50623, 57211, 51120, 51662, 51378, 51592, 50899, 51592, 61372, 52140, 63827, 52140, 50440, 50626, 50450, 50625, 53827, 58871, 55670, 54850, 61027, 50901, 50799, 59558, 69474, 51514, 50282, 51077, 51120, 51183, 51027, 79199, 51183, 79147, 51183, 61372, 73009, 59558, 64813, 55035, 59558, 69474, 54777, 59558, 64813, 61647, 50861, 59948, 50965, 53894, 55769, 58800, 51514, 50286, 51103, 51120, 51183, 51027, 79199, 51183, 50701, 50286, 51183, 61372, 70268, 55769, 60015, 59827, 59558, 50833, 50989, 57651, 59558, 50833, 50989, 50854, 50799, 54850, 74911, 59487, 51514, 50305, 51807, 50289, 51077, 75154, 51127, 55500, 55689, 54850, 69324, 59487, 50901, 55464, 55035, 59558, 51519, 50298, 61566, 66199, 50901, 63827, 54777, 54358, 51458, 50296, 51514, 50305, 57864, 50901, 67348, 55306, 59558, 51189, 51120, 51295, 50899, 51295, 50989, 51295, 61372, 51295, 50444, 51279, 50849, 75154, 55125, 51799, 50849, 79147, 55670, 53827, 58871, 50901, 50799, 58873, 64151, 57864, 64449, 51514, 50287, 51077, 51026, 51183, 63995, 51183, 55464, 73009, 58873, 58871, 57864, 64449, 55035, 58873, 64151, 57864, 64449, 54777, 58873, 58871, 57864, 64449, 55306, 57440, 51218, 51026, 51519, 50303, 60946, 51295, 50899, 51183, 72684, 55464, 50901, 54549, 55945, 51027, 51519, 50305, 50901, 55500, 50901, 53496, 55125, 68246, 50901, 54549, 50901, 52016, 55670, 57440, 69324, 51519, 50303, 60946, 50901, 55464, 50901, 54549, 50901, 50799, 55769, 51486, 51120, 62525, 73450, 60598, 51692, 61372, 50943, 52016, 57908, 51315, 79438, 58657, 51003, 67348, 51003, 53496, 56509, 51120, 64815, 73450, 51003, 61372, 51003, 52016, 51003, 50449, 50625, 50450, 51799, 50914, 79147, 59827, 53827, 58871, 50901, 50799, 59558, 74911, 66199, 51514, 50294, 51077, 50899, 51183, 61372, 51183, 55500, 57437, 59558, 58871, 66199, 50901, 52016, 76968, 50625, 50426, 59558, 51519, 50305, 66199, 50901, 53496, 54777, 59558, 51458, 50303, 66199, 50901, 54549, 55306, 55769, 71942, 64763, 51295, 50989, 51295, 50877, 51295, 51120, 51103, 61372, 51183, 55500, 60510, 50625, 55769, 50943, 56279, 51003, 52016, 59827, 59558, 50833, 50989, 62533, 59558, 50833, 50799, 54850, 51519, 50305, 59487, 51514, 50289, 51077, 51027, 51183, 75154, 51127, 55500, 51127, 50417, 50625, 50420, 54850, 76355, 59487, 55035, 59558, 64151, 66199, 54777, 54358, 61027, 57864, 55306, 59558, 51800, 50301, 64763, 73450, 51807, 50294, 51103, 61372, 51183, 55500, 57197, 53827, 58871, 51514, 50298, 51003, 63827, 59827, 53827, 58871, 50901, 50799, 54850, 61679, 51514, 50287, 76195, 51807, 50303, 51003, 63995, 51003, 55464, 65516, 54850, 61027, 55035, 54850, 61679, 74682, 51800, 50303, 64763, 51003, 55464, 51003, 54549, 60307, 54850, 61027, 73308, 50625, 50438, 59558, 51218, 51027, 51295, 50989, 51295, 51040, 51183, 55500, 79766, 51279, 50889, 75154, 59827, 54850, 69324, 59487, 50901, 55464, 50901, 50799, 53827, 51591, 51120, 51608, 50298, 51790, 51027, 51790, 50899, 51790, 61372, 50943, 63827, 51675, 50426, 51279, 50914, 75154, 56509, 50621, 51799, 50849, 79147, 55945, 57440, 55673, 50833, 51120, 62159, 58871, 50943, 61372, 50873, 52016, 50943, 50445, 50624, 50447, 66642, 50448, 50624, 50450, 57440, 61907, 50833, 51315, 55143, 50873, 67348, 76069, 50624, 50453, 50624, 50951, 53920, 50624, 57440, 57883, 50833, 51378, 62530, 58800, 50873, 63827, 50873, 52233, 63007, 50624, 74740, 57448, 57440, 51358, 51086, 58532, 63402, 51675, 51146, 51675, 51026, 51161, 55464, 51518, 54549, 50943, 50416, 50625, 50419, 50625, 50422, 50625, 50425, 50625, 61104, 60015, 50943, 53496, 75725, 50625, 50430, 50626, 50433, 50626, 50436, 50626, 80212, 50973, 58871, 50943, 52016, 50943, 50441, 50626, 50444, 57440, 56931, 57094, 62879, 59353, 54230, 57440, 62352, 58871, 57094, 62879, 59353, 51458, 50287, 50807, 63995, 50943, 55464, 55345, 57440, 68339, 58871, 57094, 59353, 50873, 54549, 50873, 50799, 57440, 50807, 51120, 56931, 65593, 63402, 50943, 61372, 50873, 52016, 50943, 56945, 50805, 55500, 53890, 55769, 51141, 50899, 65593, 51218, 50877, 51218, 52016, 56389, 51799, 50807, 79147, 58141, 55769, 50812, 70947, 50877, 55590, 55769, 50812, 70947, 50877, 53639, 55769, 56876, 58871, 65593, 50943, 52016, 58705, 58873, 65872, 50873, 50460, 50626, 50799, 55769, 51623, 51315, 55890, 51675, 50877, 51675, 51040, 51518, 67348, 50943, 53496, 69058, 51279, 50807, 75154, 57421, 51050, 50840, 55825, 60085, 51378, 50840, 63827, 56788, 51026, 50840, 55464, 59921, 51176, 50840, 57380, 54431, 51027, 50889, 55500, 51178, 50442, 50626, 50444, 55769, 74911, 67885, 58800, 50873, 55500, 50873, 68473, 50855, 54064, 57012, 51086, 50855, 54549, 61230, 50900, 50855, 52233, 54208, 55769, 62159, 58800, 71942, 73685, 50943, 55500, 50943, 53496, 58705, 58873, 58263, 62879, 50873, 57211, 55769, 51623, 51120, 59153, 65593, 60015, 51675, 61372, 50943, 52016, 57908, 51315, 73685, 58532, 50943, 67348, 50943, 53496, 57421, 50626, 50434, 50626, 50435, 50626, 50437, 50626, 66240, 56931, 64813, 50873, 61372, 50873, 52016, 70575, 50626, 50441, 50625, 50442, 50625, 50444, 50622, 57440, 73470, 62159, 59353, 58871, 50943, 61372, 50873, 52016, 50943, 50445, 50622, 50446, 50623, 50447, 50623, 50448, 50623, 50449, 50623, 50450, 50624, 57440, 77531, 55143, 59353 ]
[ 0, 250, 765, 6, 1372, 15855, 2125, 19, 10, 2842, 9, 3495, 6, 4246, 13305, 6, 17691, 28430, 6, 8, 1021, 5901, 1243, 4, 20, 23758, 3938, 20889, 8, 132, 73, 176, 86, 6543, 1045, 10, 19448, 8, 8728, 5466, 6, 150, 5, 762, 9, 211, 538, 8, 5, 33215, 16739, 9, 211, 6, 230, 10431, 119, 406, 6, 163, 119, 6, 8, 274, 10431, 119, 5042, 7, 5, 2214, 18, 1374, 32076, 8, 8520, 6711, 6, 442, 24, 10686, 13, 304, 11, 3541, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 52278, 50918, 50730, 50306, 50918, 52571, 50918, 52769, 56039, 52278, 55405, 50308, 50807, 52571, 50807, 52769, 52728, 52355, 55405, 50310, 50807, 52326, 50807, 56194, 50807, 50799, 52824, 50918, 65829, 50807, 52690, 50807, 55243, 55834, 50730, 50310, 50807, 52326, 52424, 52824, 77979, 50807, 52571, 50807, 55243, 52728, 52355, 77979, 79260, 50807, 55243, 50807, 50799, 52824, 55405, 50310, 79364, 50807, 53722, 52910, 51784, 77979, 50807, 51465, 50807, 54437, 52424, 51900, 55405, 50313, 50807, 51719, 50807, 58748, 52728, 52824, 55405, 50310, 79364, 50807, 52745, 50807, 50799, 52285, 50918, 50730, 50308, 79260, 50807, 51774, 55834, 74489, 79364, 52424, 52285, 55405, 50313, 50807, 51465, 50807, 51774, 52728, 51900, 55405, 50315, 50807, 51719, 50807, 52745, 50807, 50799, 52285, 55405, 50316, 50807, 71217, 52806, 52910, 53101, 55405, 50316, 50807, 51465, 50807, 52806, 52424, 51950, 55405, 50318, 79364, 50807, 52745, 52728, 51900, 55405, 50315, 50807, 71217, 52769, 50807, 50799, 52285, 55405, 50316, 50807, 71217, 51774, 52910, 51900, 77979, 79364, 50807, 52745, 52424, 51784, 55405, 50313, 50807, 51465, 50807, 52806, 52728, 52824, 77979, 50807, 51465, 50807, 54437, 50807, 50799, 52355, 51036, 50730, 50310, 50918, 52326, 50918, 53722, 76175, 50730, 50308, 50807, 52571, 52728, 50730, 50310, 79260, 50807, 50799, 52278, 50918, 50730, 50306, 50918, 52571, 50918, 52769, 56039, 52278, 55405, 50308, 50807, 52571, 50807, 52769, 52728, 52355, 55405, 50310, 50807, 52326, 50807, 56194, 50807, 50799, 52824, 50918, 65829, 50807, 52690, 50807, 55243, 55834, 50730, 50310, 50807, 52326, 52424, 52824, 77979, 50807, 52571, 50807, 55243, 52728, 52355, 77979, 79260, 50807, 55243, 50807, 50799, 52824, 55405, 50310, 79364, 50807, 53722, 52910, 51784, 77979, 50807, 51465, 50807, 54437, 52424, 51900, 55405, 50313, 50807, 51719, 50807, 58748, 52728, 52824, 55405, 50310, 79364, 50807, 52745, 50807, 50799, 52285, 50918, 50730, 50308, 79260, 50807, 51774, 55834, 74489, 79364, 52424, 52285, 50918, 63514, 50918, 51465, 50918, 51774, 50918, 50799, 51950, 55405, 50315, 79364, 50807, 52769, 52910, 51900, 55405, 50315, 50807, 71217, 52769, 52424, 51784, 55405, 50313, 50807, 51465, 50807, 52806, 52728, 52824, 55405, 50310, 79364, 50807, 52745, 50807, 50799, 52285, 55405, 50308, 79260, 50807, 51774, 52910, 51900, 55405, 50313, 50807, 51465, 50807, 51774, 52424, 52285, 55405, 50315, 50807, 71217, 55243, 52728, 51950, 55405, 50315, 50807, 51465, 50807, 55243, 50807, 50799, 52515, 50918, 58202, 50918, 51465, 50807, 52806, 55834, 51231, 52424, 51900, 55405, 50315, 50807, 51719, 50807, 51614, 52728, 51900, 55405, 50313, 50807, 51719, 50807, 51614, 50807, 58106, 51950, 51036, 74489, 51036, 51410, 51036, 52769, 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, 250, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 15073, 6, 278, 11, 10, 7212, 231, 73, 398, 86, 6543, 8, 5, 762, 9, 272, 538, 6, 4246, 10, 16331, 33215, 16739, 9, 272, 6, 3676, 406, 6, 8, 1918, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50631, 51540, 51416, 52392, 51915, 51991, 51882, 52149, 52642, 51717, 52908, 52570, 50804, 50841, 51430, 50810, 51487, 50844, 52357, 50955, 50415, 51334, 52903, 51924, 52045, 50416, 52004, 56082, 51302, 50841, 51430, 52081, 50335, 52081, 50340, 51051, 53550, 50841, 51430, 52386, 50335, 52081, 50340, 55514, 51068, 51031, 51430, 51604, 50335, 51604, 50340, 50822, 50462, 50804, 50841, 51430, 51954, 50335, 51954, 50340, 50874, 50474, 50804, 50829, 51487, 51609, 50332, 50874, 52357, 51008, 51540, 51349, 51991, 52331, 51894, 50804, 50841, 51430, 51609, 50337, 51609, 50340, 51008, 51302, 50820, 51430, 52081, 50337, 51604, 50340, 52788, 50804, 50841, 51430, 51604, 50337, 51764, 50340, 65673, 51924, 51591, 50450, 52642, 51159, 52908, 51056, 55631, 51454, 52004, 51358, 55420, 51896, 51068, 51031, 51430, 51604, 50337, 51609, 50340, 50874, 50462, 51882, 51267, 52642, 51312, 52908, 58668, 50839, 51814, 51954, 50332, 50912, 52357, 50851, 50474, 52474, 51124, 51726, 51221, 52642, 51267, 52908, 51109, 55631, 56942, 50834, 51430, 51764, 50337, 51609, 50340, 50874, 50484, 51390, 53487, 51540, 51684, 53363, 51482, 53380, 52086, 52903, 52561, 53454, 53725, 56082, 51893, 53259, 50804, 50841, 51814, 51609, 50333, 50822, 52357, 50874, 50416, 52700, 54484, 51302, 50841, 51814, 51604, 50333, 50851, 52357, 53269, 50804, 50841, 51814, 50825, 51339, 50912, 52357, 53567, 51068, 51031, 51814, 51604, 50333, 50851, 52357, 50827, 50462, 50804, 50841, 51339, 51954, 50337, 51604, 50340, 50827, 50474, 51684, 51377, 51482, 51400, 50804, 50829, 51339, 52386, 50337, 51954, 50340, 50851, 50484, 51390, 53454, 51540, 51137, 51486, 54117, 51518, 52086, 53651, 52561, 53753, 55272, 56082, 51893, 53454, 50804, 50841, 51487, 51609, 50339, 51609, 50342, 50874, 50416, 54503, 54454, 51302, 50820, 51487, 51954, 50339, 52386, 50342, 53269, 50804, 50841, 51487, 51954, 50339, 52081, 50342, 54823, 51910, 51446, 53180, 51417, 51068, 51031, 51487, 51764, 50339, 51604, 50342, 50827, 50462, 50804, 50839, 51487, 51954, 50339, 52081, 50342, 50912, 50474, 51684, 51178, 51482, 56959, 50834, 51487, 51604, 50339, 51954, 50342, 50851, 50485, 51334, 52821, 51540, 51416, 51264, 51915, 51307, 51882, 51151, 52642, 51293, 52908, 52017, 51924, 52045, 50804, 50841, 51430, 51764, 50335, 51609, 50340, 62501, 52004, 54300, 51302, 50841, 51430, 52081, 50335, 52081, 50340, 52788, 50804, 50841, 51430, 51604, 50335, 51604, 50340, 52989, 51068, 51031, 51430, 51604, 50335, 51764, 50340, 50851, 50462, 51813, 51312, 51882, 51312, 52642, 56942, 50841, 51487, 50835, 51430, 51764, 50340, 50827, 50474, 52474, 51267, 51726, 51109, 51882, 51312, 52642, 51380, 52908, 75270, 50829, 51430, 51609, 50335, 51764, 50340, 50827, 50485, 51334, 53454, 51540, 52584, 51538, 51425, 51518, 51882, 51151, 52561, 51293, 53725, 52017, 51893, 52045, 52700, 54300, 50804, 50841, 51339, 51764, 50337, 51604, 50340, 50867, 51302, 50820, 51339, 51954, 50337, 51764, 50340, 50904, 53550, 50841, 51339, 51764, 50337, 51604, 50340, 54385, 52584, 51157, 51425, 51159, 51068, 51031, 51339, 51764, 50337, 51609, 50340, 50886, 50462, 52474, 51267, 51726, 51109, 51855, 51380, 52086, 51253, 52561, 78275, 50839, 51814, 50835, 51339, 51604, 50340, 50864, 50474, 51684, 51159, 51482, 51056, 51882, 51267, 52561, 51312, 53725, 75270, 50834, 51814, 50829, 51339, 51604, 50340, 50886, 51540, 51416, 51189, 51915, 51218, 51882, 50866, 52642, 50978, 52908, 51030, 51334, 51095, 51924, 51110, 52004, 51095, 51068, 51031, 51430, 51609, 50335, 51764, 50340, 53891, 58053, 51343, 50462, 56290, 51343, 51540, 57696, 76183, 58053, 51356, 60487, 50839, 50462, 50801, 50839, 50463, 57696, 51472, 50474, 50801, 50839, 51540, 51349, 52392, 52331, 79431, 53966, 50841, 51814, 50835, 51430, 51609, 50340, 70691, 77029, 54484, 51302, 50841, 51430, 50863, 51814, 50825, 52357, 53018, 50804, 50841, 51430, 50863, 51814, 50825, 52357, 53996, 51068, 51031, 51430, 50825, 51814, 50834, 52357, 50886, 50462, 50804, 50841, 51814, 50835, 51430, 51954, 50340, 50864, 50474, 50804, 50829, 51430, 50837, 51814, 50835, 52357, 50886, 51540, 51349, 51605, 52331, 51991, 60119, 54300, 50801, 53966, 50841, 51430, 50825, 51814, 50829, 52357, 50886, 51302, 50820, 51430, 51604, 50337, 51609, 50340, 50864, 53550, 50841, 51814, 50829, 51430, 51764, 50340, 64891, 51924, 51591, 50450, 52004, 51358, 55420, 51896, 51068, 51031, 51814, 50829, 51430, 51604, 50340, 50886, 50462, 50804, 50839, 51814, 50829, 51430, 51764, 50340, 50886, 50474, 52474, 51056, 51726, 67675, 50834, 51430, 50825, 51814, 50834, 52357, 50864, 50484, 51390, 53487, 51540, 51684, 52392, 51482, 51605, 53686, 53601, 51893, 53259, 50801, 53966, 50841, 51814, 50834, 51339, 51609, 50340, 76328, 52700, 54484, 51302, 50841, 51814, 50825, 51339, 51604, 50340, 53945, 56290, 52195, 50804, 50841, 51814, 50829, 51339, 51604, 50340, 53996, 51068, 51031, 51339, 50825, 51814, 50829, 52357, 50864, 50462, 57696, 51285, 50804, 50841, 51339, 50837, 51814, 50835, 52357, 50904, 50474, 50804, 50829, 51814, 50835, 51339, 51604, 50340, 50886, 50484, 51390, 53454, 51540, 51137, 51655, 54117, 51036, 56290, 51055, 51893, 53454, 50801, 53966, 50841, 53117, 50839, 51487, 51764, 50342, 76328, 54503, 54454, 50425, 58053, 50807, 51302, 50820, 51487, 50863, 53117, 50835, 52912, 57413, 56033, 51036, 53550, 50841, 51487, 50837, 53117, 50834, 52912, 54105, 51068, 51031, 51487, 50863, 53117, 50825, 52912, 50886, 50462, 50804, 50839, 51487, 50863, 53117, 51537, 50342, 50864, 50474, 50804, 50834, 53117, 50829, 52912, 50835, 51487, 50864, 50485, 51334, 52821, 51540, 51416, 52382, 51915, 53363, 53274, 53501, 51924, 52045, 50801, 53966, 50841, 51487, 50835, 51430, 51609, 50340, 70691, 52004, 54300, 51302, 50841, 51430, 50863, 51487, 50825, 52357, 53018, 50804, 50841, 51430, 50863, 51487, 50825, 52357, 53996, 58053, 51685, 52041, 51585, 51555, 51941, 51068, 51031, 51430, 50825, 51487, 50834, 52357, 66830, 54830, 50861, 54830, 50462, 50804, 50841, 51487, 50835, 51430, 51954, 50340, 50864, 50474, 50804, 50829, 51430, 50837, 51487, 50835, 52357, 50886, 51540, 51349, 51605, 52331, 51991, 56281, 51469, 52679, 51538, 52041, 51486, 50801, 53966, 50841, 51430, 50825, 51814, 50829, 52357, 66411, 63034, 50916, 63034, 51302, 50820, 51430, 51604, 50337, 51609, 50340, 50864, 53550, 50841, 51814, 50829, 51430, 51764, 50340, 64891, 51924, 51591, 50450, 52004, 51358, 55420, 51896, 51068, 51031, 51814, 50829, 51430, 51604, 50340, 50886, 50462, 50804, 50839, 51814, 50829, 51430, 51764, 50340, 50886, 50474, 52474, 51056, 51726, 67675, 50834, 51430, 50825, 51814, 50834, 52357, 50864, 50484, 51390, 53487, 51540, 51684, 52392, 51482, 51605, 53686, 53501, 51893, 53259, 50801, 53966, 50841, 51814, 50834, 51339, 51609, 50340, 76328, 52700, 54484, 51302, 50841, 51814, 50825, 51339, 51604, 50340, 50864, 53550, 50841, 51814, 50829, 51339, 51604, 50340, 53996, 51068, 51031, 51339, 50825, 51814, 50829, 52357, 70570, 56290, 51566, 50462, 50804, 50841, 51339, 50837, 51814, 50835, 52357, 50904, 50474, 57696, 51541, 50804, 50829, 51814, 50835, 51339, 51604, 50340, 50886, 50484, 51390, 53454, 51540, 51137, 51991, 54117, 51894, 51893, 53454, 50801, 53966, 50841, 53117, 50839, 51487, 51764, 50342, 76415, 56290, 51661, 50416 ]
[ 0, 713, 8787, 3495, 8, 13134, 24904, 2125, 22750, 1626, 5823, 8, 10563, 149, 63, 20425, 34879, 4, 25837, 2987, 30, 5, 20902, 3222, 5785, 9, 10170, 1499, 6, 21979, 8669, 6, 3459, 9590, 6, 8, 21072, 6, 24, 11498, 41, 12447, 1001, 20889, 11, 5, 762, 9, 272, 538, 19, 10, 132, 73, 306, 86, 6543, 4, 20, 4798, 17130, 14417, 227, 5, 40286, 211, 8, 83, 6, 8216, 7, 5, 2214, 18, 17627, 17274, 2365, 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 ]	[ 51057, 50632, 50427, 51908, 58656, 51666, 52119, 52330, 52674, 51994, 57880, 51908, 50802, 51057, 50953, 72109, 51030, 50419, 51666, 53213, 51076, 50938, 59314, 51067, 56022, 70576, 52330, 52968, 51019, 70551, 51286, 50431, 51994, 52265, 51076, 50910, 76610, 50929, 52938, 51033, 51057, 51666, 50811, 50927, 77690, 51030, 50419, 51531, 52302, 77673, 78129, 51067, 51582, 50384, 53224, 60811, 51666, 53537, 51069, 59569, 51286, 50427, 53615, 55863, 51531, 58656, 51873, 52119, 73062, 51067, 50836, 51078, 52217, 75348, 53438, 57880, 51666, 50803, 74248, 52299, 51030, 50419, 51531, 53213, 51078, 50938, 50947, 50948, 51067, 50924, 53615, 51750, 70576, 51873, 52968, 51069, 51290, 51170, 53351, 51286, 50430, 53438, 52119, 51078, 50840, 67640, 51067, 67685, 51420, 51033, 50437, 51908, 50823, 51057, 50953, 51090, 51240, 53983, 51030, 50418, 51666, 52244, 51067, 50836, 64567, 51076, 51187, 70576, 51908, 50881, 50608, 53950, 50927, 57393, 51286, 50429, 52330, 57925, 51076, 74945, 50887, 50929, 52953, 51240, 54220, 51033, 50433, 51994, 57784, 51908, 50803, 51057, 50953, 57393, 51030, 50418, 51666, 53213, 51076, 50887, 73369, 50929, 69331, 52223, 67596, 52330, 52968, 50927, 51427, 51170, 53690, 51286, 50430, 51994, 58976, 51170, 53974, 51076, 50846, 73369, 50929, 51833, 51033, 50437, 51666, 50803, 74248, 51090, 51240, 54897, 51030, 50418, 51531, 60861, 50947, 50887, 51067, 53299, 51078, 52873, 70086, 51240, 62475, 51666, 53537, 51069, 51290, 53615, 52972, 51286, 50428, 51531, 58874, 51873, 57925, 67640, 51078, 50855, 51067, 62468, 50830, 51361, 51033, 50433, 53438, 50811, 51057, 51666, 51066, 52939, 50993, 50927, 52299, 68360, 68387, 51078, 50836, 51067, 53104, 50607, 51539, 54392, 51908, 50976, 51531, 50975, 51069, 51566, 51170, 53393, 68141, 65946, 51067, 50897, 50947, 52675, 51033, 51170, 50940, 50437, 52330, 50993, 51666, 50993, 51057, 71877, 51240, 52972, 68360, 51076, 50887, 51067, 50859, 50929, 52217, 70086, 51240, 50878, 50425, 51908, 53537, 77562, 52190, 52411, 51286, 50428, 51666, 58656, 52330, 52119, 51067, 50859, 51563, 52153, 51033, 51240, 50948, 50433, 51076, 58322, 51994, 57880, 51908, 50860, 51057, 50953, 54482, 51030, 50419, 51666, 52244, 51067, 51095, 51076, 51178, 51563, 59218, 50384, 53224, 59066, 52330, 53537, 51019, 54482, 51286, 50427, 51170, 70328, 51994, 54179, 51076, 50937, 51067, 50897, 51563, 63977, 52189, 51033, 50437, 51666, 50802, 74248, 51054, 51240, 52972, 51030, 50419, 51531, 55573, 50947, 50938, 51067, 50910, 51786, 53710, 70086, 51240, 63750, 51666, 53537, 51069, 51454, 52190, 52923, 51286, 50428, 51531, 58874, 51873, 64058, 51240, 57748, 62629, 51067, 50836, 51786, 52217, 75348, 53438, 57880, 51666, 50823, 51057, 62644, 53615, 54902, 51030, 50419, 51531, 50881, 50607, 53203, 76522, 78142, 51786, 51582, 54392, 51873, 61424, 51566, 51170, 52411, 51286, 50431, 53438, 69425, 53627, 62629, 51067, 50836, 51786, 52217, 51033, 50437, 51908, 50860, 51057, 50953, 52299, 51030, 50419, 51666, 55573, 51076, 50808, 51067, 50836, 50929, 52217, 70086, 51240, 64462, 51908, 51973, 50927, 51566, 52190, 52411, 51286, 50429, 52330, 57925, 51240, 52559, 51994, 50811, 77672, 51067, 50910, 50929, 53111, 51033, 50436, 51871, 51066, 51908, 51072, 51057, 50953, 58680, 68360, 51076, 50855, 51067, 50836, 51438, 50836, 50929, 52223, 50384, 53224, 61880, 51666, 50975, 52939, 50975, 50425, 51170, 52450, 50927, 72706, 51286, 50431, 51170, 52749, 79750, 60907, 51067, 50828, 51438, 52217, 51033, 50436, 51531, 50993, 51908, 50975, 51057, 70259, 51240, 54923, 68360, 51292, 50800, 72919, 51032, 51421, 67596, 51240, 60811, 52330, 51973, 51443, 76360, 51286, 50428, 51873, 58976, 51994, 57052, 52559, 51292, 50809, 70903, 50929, 51559, 51033, 50433, 51873, 57880, 51170, 50844, 74248, 57044, 51030, 50415, 52939, 50976, 52190, 53420, 51078, 60521, 50849, 51067, 67141, 50384, 53224, 56133, 51908, 58242, 51666, 51973, 51069, 73328, 51286, 50428, 51531, 58459, 51240, 53627, 52330, 50823, 53615, 51916, 51033, 50433, 77673, 78129, 51067, 58877, 51873, 57784, 51994, 50975, 51057, 50953, 51541, 51011, 52411, 51030, 50416, 68111, 51039, 70086, 79750, 73369, 59313, 50425, 51994, 52968, 50927, 76360, 51286, 50428, 52330, 58221, 51994, 52119, 60907, 79750, 51067, 50381, 56497, 55316, 51033, 51240, 51254, 50434, 52330, 57880, 51871, 50811, 51057, 79388, 52190, 54902, 68360, 51076, 58335, 50836, 51067, 52675, 50384, 53224, 62475, 51994, 52968, 50927, 51379, 51170, 51730, 51286, 50428, 52330, 58221, 51994, 56662, 59099, 79750, 51067, 50887, 50929, 52873, 51033, 50433, 52330, 57880, 52939, 50811, 74248, 51054, 51240, 53835, 68360, 68387, 51078, 50836, 51067, 55744, 67596, 51240, 52966, 53438, 50811, 51069, 51603, 50798, 51286, 50429, 51873, 58221, 53438, 52119, 51078, 50836, 73062, 51067, 51582, 51033, 51240, 58877, 51988, 50817, 51873, 50817, 51057, 52939, 50975, 50927, 51573, 53615, 56935, 68360, 50947, 50938, 52190, 52223, 70086, 51078, 50855, 51067, 53471, 51666, 51973, 51069, 51345, 51170, 52972, 51286, 50427, 51908, 53300, 51666, 57925, 51170, 57066, 51531, 68850, 50812, 51067, 50952, 50947, 52675, 51033, 50436, 52330, 50993, 51057, 71877, 51240, 64788, 68360, 62388, 51076, 50859, 51067, 52189, 70086, 53615, 62973, 51994, 52968, 77562, 53615, 53632, 51286, 50428, 52330, 58221, 51994, 57052, 57647, 51076, 50938, 51067, 50865, 50929, 55690, 51033, 50433, 52330, 57880, 51871, 50823, 51057, 50953, 54482, 68360, 71594, 57662, 51067, 54068, 70086, 52190, 60039, 51994, 52968, 51019, 50975, 51170, 53238, 51286, 50427, 52330, 58459, 51994, 52119, 52330, 50803, 71257, 77672, 51067, 55110, 51033, 51170, 50940, 50437, 52939, 50975, 74248, 52299, 51030, 50415, 51240, 52864, 50947, 50938, 51078, 50938, 51067, 56022, 54392, 53438, 50811, 51069, 51290, 53615, 51730, 51286, 50428, 51873, 58221, 53438, 52119, 61662, 50947, 50924, 51067, 58415, 51033, 51240, 50952, 50433, 51988, 50803, 51057, 52939, 50975, 50927, 51573, 52190, 53197, 68360, 51078, 50849, 50947, 59218, 50384, 56497, 64355, 51067, 51100, 50422, 51908, 59174, 51666, 51973, 51069, 51227, 51170, 53393, 51286, 50427, 51531, 58221, 52330, 54179, 51078, 50910, 50947, 50830, 51067, 56022, 51033, 51170, 50940, 50433, 51873, 58198, 51994, 50993, 51057, 50953, 52299, 51030, 50415, 51240, 50849, 50416, 51067, 54183, 51067, 50865, 59314, 51076, 55744, 70086, 53615, 59509, 51994, 52968, 74235, 53615, 52972, 51286, 50428, 52330, 58221, 51994, 57052, 57647, 60907, 51076, 50840, 51067, 51421, 51033, 50433, 52330, 57880, 51871, 50811, 51057, 50953, 50975, 52190, 54438, 68360, 51076, 50865, 59314, 51067, 51370, 50384, 53224, 61057, 51994, 52968, 51019, 50975, 51170, 53393, 51286, 50429, 52330, 58976, 51994, 52119, 51076, 50859, 51067, 50859, 50929, 76285, 51170, 68686, 52330, 57880, 52939, 50975, 74248, 52299, 51030, 51240, 56202, 50947, 50948, 51067, 50805, 51078, 54260, 70086, 51240, 53450, 53438, 50811, 51069, 51073, 53615, 52972, 51286, 50429, 51873, 58221, 53438, 64453, 51033, 51240, 51030, 50433, 51067, 50879, 51078, 50917, 50947, 77121, 51988, 50817, 51873, 50811, 51057, 52939, 50975, 50927, 52299, 68360, 50947, 51100, 51078, 50873, 51067, 60596, 56731, 51908, 52968, 51666, 50811, 51069, 72330, 51286, 50427, 51170, 57781, 51908 ]
[ 0, 250, 2635, 12, 20764, 15855, 2125, 19, 10, 25306, 619, 6, 42, 765, 2214, 11, 381, 3694, 7630, 6568, 10, 19448, 8, 3722, 5466, 6, 1969, 13, 5, 1619, 191, 4, 20, 13305, 8, 6755, 12547, 185, 5, 483, 6, 2800, 30, 5, 16634, 12989, 9, 21979, 9590, 6, 21072, 6, 8, 5, 31910, 154, 23225, 9, 5, 23338, 33518, 1264, 4, 20, 15229, 30853, 11, 10, 155, 73, 306, 86, 6543, 6, 19, 10, 33215, 16739, 4246, 230, 6, 274, 119, 406, 428, 245, 6, 211, 73, 717, 6, 8, 272, 73, 250, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50624, 73831, 51675, 54720, 51592, 51656, 51592, 51711, 51422, 50871, 51623, 51339, 66150, 55326, 55770, 53203, 50876, 74382, 54604, 51430, 52450, 50931, 51364, 51062, 51141, 50804, 53944, 53018, 50804, 53162, 50999, 77534, 76885, 50902, 51077, 50951, 51077, 73831, 51675, 52036, 51397, 53817, 51592, 51863, 51662, 51062, 74541, 55326, 59825, 51065, 50891, 51302, 55147, 53196, 50843, 63122, 52225, 51101, 50843, 53115, 50804, 53270, 56755, 51487, 51014, 50443, 52036, 72438, 51098, 55732, 60479, 51339, 75557, 51062, 51527, 51034, 51216, 51518, 51743, 51422, 53389, 51422, 51711, 51422, 50876, 51127, 50931, 66006, 55326, 59768, 50816, 59045, 52430, 51047, 51302, 53944, 52742, 50804, 62047, 51430, 64781, 51339, 65781, 51487, 58953, 51339, 63674, 51430, 66943, 51339, 50962, 78459, 50833, 52430, 50808, 53181, 50925, 51743, 50925, 51863, 50910, 51838, 50910, 51062, 60206, 55326, 57392, 50624, 50417, 50624, 50419, 50624, 50420, 50624, 50422, 50623, 50423, 50623, 50424, 50623, 51863, 51627, 51838, 51627, 52137, 51627, 50425, 50623, 77718, 51461, 51047, 55793, 51047, 52133, 51148, 51615, 51148, 63014, 60292, 55477, 51339, 51417, 50428, 50623, 52357, 51364, 50438, 50623, 50440, 50623, 50441, 50623, 50442, 50623, 50444, 51756, 59536, 64734, 50623, 50447, 50623, 52213, 54573, 50448, 50624, 50449, 50624, 51756, 52783, 73831, 51417, 51743, 50829, 53389, 54557, 52133, 52598, 51743, 52263, 51656, 54557, 52430, 51627, 52033, 54573, 52235, 51742, 50871, 51397, 50876, 51397, 50999, 51397, 51430, 51397, 52243, 51202, 55376, 50624, 50420, 50624, 75896, 51302, 52942, 56680, 50624, 50436, 52133, 50915, 51743, 50915, 51656, 51330, 52036, 51108, 60116, 52188, 50804, 53675, 51850, 50978, 50449, 53181, 52431, 52133, 51592, 52033, 51662, 52255, 53866, 51034, 52157, 51675, 52225, 51627, 56726, 51447, 51863, 51592, 51760, 50870, 68275, 51147, 51148, 51430, 51077, 52243, 51202, 55138, 51971, 51803, 72130, 52712, 53037, 57032, 50804, 52942, 56305, 52225, 54498, 51147, 51619, 50326, 51911, 50332, 55506, 54586, 51493, 50937, 51760, 62285, 56918, 51711, 50825, 53389, 51592, 53541, 53866, 51881, 51592, 51615, 52431, 51034, 52419, 51675, 51656, 50820, 52225, 50820, 51615, 51592, 51838, 51592, 52840, 50863, 63775, 50902, 51109, 52243, 51202, 55376, 51760, 51244, 72130, 52712, 62680, 50999, 53119, 52942, 56305, 51656, 51753, 50438, 50973, 66986, 64390, 74173, 51756, 62801, 51760, 54758, 51881, 60379, 72338, 50866, 50445, 51756, 61334, 52721, 51862, 50449, 52430, 50825, 52187, 50827, 51881, 51703, 52033, 51447, 51615, 51703, 51711, 51703, 79515, 50943, 51615, 50822, 52033, 50932, 52225, 51080, 52886, 51080, 51756, 52015, 50900, 59783, 75511, 51911, 50330, 50915, 52243, 51202, 53203, 54786, 51490, 50424, 51065, 52641, 51389, 50943, 54227, 53126, 50316, 55506, 53759, 52953, 52387, 53535, 50320, 58376, 59051, 50843, 57514, 51881, 50932, 52033, 50932, 52332, 51108, 52255, 65461, 51273, 50845, 51711, 51108, 53129, 50932, 53188, 50932, 53037, 77429, 50300, 62490, 50879, 69621, 53162, 51522, 50873, 51756, 53130, 50320, 54523, 56918, 52133, 51939, 51881, 51592, 51743, 51592, 51863, 51592, 51034, 51461, 51675, 51881, 55586, 51863, 51803, 52886, 51680, 52280, 60334, 51047, 50931, 51047, 51146, 51047, 52357, 51047, 52243, 51202, 55376, 51756, 51542, 61889, 79489, 52942, 57107, 52280, 51642, 50438, 51339, 53946, 61194, 52213, 58937, 51881, 51079, 51863, 78876, 51743, 50820, 51838, 50820, 52402, 53866, 51743, 51939, 52255, 52916, 52414, 53866, 52213, 50834, 51034, 51560, 51675, 51743, 51627, 52402, 51592, 53188, 52431, 52280, 52015, 51040, 51047, 50965, 51148, 50931, 51077, 52243, 51202, 59094, 75896, 51302, 52942, 52600, 51743, 51592, 71931, 51001, 51253, 50931, 60503, 74173, 52861, 54758, 51560, 62977, 57028, 52387, 62924, 53817, 52916, 53181, 51592, 53100, 52916, 51743, 52431, 50449, 53541, 51123, 52387, 50813, 67834, 50841, 51098, 51675, 50861, 50820, 51028, 54200, 56694, 55376, 51615, 52916, 52414, 51592, 52430, 52431, 50416, 52213, 52140, 72130, 52712, 63156, 50931, 53119, 52942, 56305, 51743, 51753, 63808, 65140, 64390, 54586, 53100, 68434, 50959, 67809, 50449, 51863, 50825, 52036, 50825, 51881, 52140, 51863, 52431, 52133, 51592, 51743, 52140, 51034, 51461, 50943, 51743, 50829, 51656, 50820, 52036, 50820, 51881, 51199, 51838, 51592, 52626, 51592, 52387, 52015, 50997, 51253, 67104, 50902, 51253, 51062, 51109, 52243, 51202, 58830, 51065, 52641, 51150, 62542, 78248, 53759, 52953, 74576, 50843, 57004, 50624, 50435, 50624, 50436, 50843, 57514, 50624, 50438, 51461, 59198, 61433, 50879, 69621, 58616, 50624, 50444, 51461, 50937, 51756, 50822, 51062, 57468, 54368, 50624, 50448, 51743, 52140, 51656, 51939, 51711, 51592, 52225, 52528, 52213, 52916, 50449, 51756, 52168, 73831, 51675, 53389, 54573, 51743, 51662, 52430, 51592, 51971, 52980, 67137, 68275, 50999, 51047, 51430, 51047, 52243, 51202, 55376, 50624, 52235, 51148, 61889, 79489, 52942, 52766, 51062, 53946, 61194, 51850, 59352, 50968, 76791, 53181, 51592, 52133, 51592, 52033, 51939, 52255, 53866, 50448, 52033, 50928, 51711, 50829, 53828, 57723, 51863, 52431, 52225, 51592, 53037, 52783, 51034, 52157, 51675, 56726, 52431, 51756, 52783, 68275, 51147, 51148, 51430, 51077, 52243, 51202, 55376, 51971, 55586, 72130, 79489, 52942, 56305, 53828, 53264, 51147, 50810, 51081, 50822, 51430, 52764, 59120, 51261, 70627, 52626, 55322, 52157, 50845, 51760, 58695, 56918, 53389, 51592, 53541, 52528, 51881, 51592, 51615, 52140, 51034, 52419, 51675, 51615, 52431, 51838, 51592, 52886, 51662, 52187, 52431, 52840, 50835, 63775, 50902, 51109, 52243, 51202, 55376, 51760, 51080, 72130, 52712, 66737, 50999, 53119, 52942, 56305, 51656, 51753, 50438, 50973, 66986, 64390, 59120, 51756, 64100, 51760, 54394, 51881, 50978, 51756, 61666, 72338, 50866, 50445, 52721, 69300, 51881, 52528, 52033, 51592, 51615, 52140, 51711, 52528, 50449, 52137, 50825, 51615, 50867, 52225, 51592, 52886, 51592, 79515, 51056, 52033, 51592, 51756, 52015, 78120, 69459, 50968, 51253, 51146, 51109, 52243, 51202, 58830, 51065, 52641, 51389, 59391, 78248, 53759, 52953, 50968, 66696, 59051, 50843, 52621, 51273, 57864, 63191, 54581, 55051, 52986, 51273, 50917, 51756, 51710, 50330, 57603, 58078, 52402, 52916, 51743, 51677, 52255, 52431, 52414, 52528, 51034, 51560, 51591, 53100, 51939, 52036, 51939, 54339, 51677, 52840, 51742, 51040, 51183, 50965, 51183, 50931, 51183, 51405, 64250, 55731, 53227, 50816, 50829, 51302, 53843, 53040, 51147, 53888, 60464, 51756, 53783, 51001, 50987, 50445, 52840, 71303, 52033, 51662, 52332, 52528, 51656, 51939, 51838, 51939, 50449, 52332, 51080, 57633, 52916, 51881, 51939, 53828, 51677, 52033, 51662, 53129, 51592, 51034, 51493, 51623, 52430, 51080, 52840, 60500, 51127, 67663, 51114, 51336, 52613, 51202, 56260, 51760, 51145, 72130, 50829, 51302, 53766, 58694, 50624, 50438, 52332, 50995, 54227, 51480, 50877, 74335, 51619, 50322, 56946, 58772, 50624, 50444, 51493, 56777, 56038, 50624, 51881, 50978, 52402, 51592, 51743, 51486, 52255, 51939, 52414, 51592, 51760, 50857, 51034, 51560, 51623, 52255, 50835, 53100, 51592, 52255, 51662, 52340, 51592, 54339, 51662, 52527, 51183, 51040, 63509, 52613, 51202, 59891, 50624, 72130, 52928, 62676, 51001, 54172, 53766, 58694, 52402, 51328 ]
[ 0, 250, 20902, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 41, 21979, 8669, 6, 2382, 3459, 8669, 6, 2342, 4467, 6, 21072, 6, 8, 3459, 9590, 6, 70, 567, 561, 7, 1045, 10, 32076, 8, 15352, 30054, 5466, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 1769, 20889, 9, 24543, 13410, 228, 2289, 6, 42, 2214, 7630, 6568, 6453, 9, 657, 6, 10563, 6, 8, 7125, 149, 63, 17627, 17274, 34879, 8, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 50796, 64170, 52996, 50415, 50988, 51852, 50426, 50935, 51806, 50433, 50988, 51961, 51208, 52618, 50439, 50847, 51797, 50447, 51185, 53674, 50450, 50847, 51738, 57746, 52188, 51530, 52407, 50426, 50988, 51965, 50432, 50872, 51642, 50433, 51023, 52618, 50438, 50850, 51709, 50447, 51092, 53674, 50450, 80040, 57746, 51797, 51403, 54532, 50426, 50988, 65948, 50988, 50905, 51020, 52011, 50438, 50988, 51309, 50446, 51092, 52256, 50450, 50988, 51484, 78110, 71755, 51797, 50988, 53957, 50415, 51185, 51447, 50426, 50944, 51576, 50988, 66255, 50988, 50905, 51268, 65461, 50944, 51775, 50988, 51309, 50446, 51023, 51961, 50450, 50988, 51411, 50847, 51806, 57746, 53957, 50848, 51961, 50850, 51108, 51092, 52168, 50426, 50988, 51051, 59305, 50432, 50988, 50959, 50848, 51679, 65539, 51061, 52431, 50438, 50988, 51312, 67907, 53160, 73196, 50850, 51542, 50447, 51023, 54171, 50450, 50988, 51709, 50451, 50848, 52378, 57746, 52188, 50848, 51961, 50850, 51108, 51092, 67778, 50988, 51051, 59305, 50432, 50988, 57053, 51679, 65539, 50433, 51061, 51965, 50438, 50988, 51312, 67907, 53160, 73196, 78949, 50447, 51023, 51477, 50450, 50988, 51709, 50451, 50848, 52378, 57746, 52188, 50848, 52188, 78656, 51208, 51680, 50426, 50988, 51051, 58661, 50432, 50988, 57053, 54938, 50988, 51312, 50848, 52378, 53160, 51477, 50444, 50847, 51961, 51020, 66405, 50988, 51253, 50451, 50848, 52378, 57746, 51576, 50848, 52188, 50872, 51679, 51208, 51680, 50426, 50988, 51051, 58661, 50432, 50988, 57053, 51867, 50297, 51637, 50438, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 50872, 51961, 51020, 66405, 50988, 51253, 50451, 50848, 52378, 57746, 51484, 50885, 52048, 50868, 51679, 51208, 51680, 50420, 50847, 52441, 50426, 50988, 51051, 64646, 50432, 50988, 57245, 51867, 50296, 51637, 50438, 50988, 51109, 50885, 52378, 53160, 51318, 66368, 51961, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 58375, 50988, 51484, 50885, 52048, 50979, 51679, 51208, 51742, 50420, 50847, 52441, 50426, 50988, 51051, 64646, 50432, 50988, 57245, 51867, 50295, 51637, 50438, 50988, 51109, 50885, 52378, 53160, 51318, 50444, 50979, 51961, 51020, 51080, 50448, 51667, 51356, 50450, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 57746, 51484, 50848, 52048, 50847, 51679, 51208, 51742, 50426, 51652, 51566, 50988, 51051, 64730, 50432, 50988, 57053, 51867, 50294, 51637, 50436, 52457, 51345, 50438, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 70984, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50848, 52378, 66169, 53295, 50988, 51484, 50848, 52048, 50872, 51679, 51208, 51742, 50426, 50988, 51051, 64730, 50432, 50988, 57053, 51867, 50297, 51637, 50438, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 71205, 51020, 66405, 50872, 51852, 50988, 51253, 50451, 50848, 52378, 57746, 51484, 50885, 52048, 50868, 51679, 51208, 51742, 50420, 50847, 52441, 50426, 50988, 51051, 64646, 50432, 50988, 57245, 51867, 50296, 51637, 50438, 50988, 51109, 50885, 52378, 53160, 51318, 66368, 51961, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 66169, 52121, 50988, 51484, 50885, 52048, 50979, 51679, 51208, 51742, 50420, 50847, 52441, 50425, 51652, 55341, 50988, 51051, 64646, 50431, 52376, 70756, 50988, 57245, 51867, 50295, 51637, 50437, 51652, 56360, 50988, 51109, 50885, 52378, 53160, 51318, 50444, 51652, 50889, 50979, 51961, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 50456, 51667, 51173, 57746, 51484, 50848, 52048, 50847, 51679, 51208, 51742, 50415, 51652, 53765, 52376, 73722, 51051, 64730, 50432, 52457, 52392, 50988, 57053, 51867, 50294, 51637, 50438, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 70984, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50848, 52378, 66169, 53295, 50988, 51484, 50848, 52048, 50872, 51679, 51208, 51742, 50426, 50988, 51051, 64730, 50432, 50988, 57053, 51867, 50297, 51637, 50438, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 71205, 51020, 66405, 50872, 51852, 50988, 51253, 50451, 50848, 52378, 57746, 51484, 50885, 52048, 50868, 51679, 51208, 51742, 50420, 50847, 52441, 50426, 50988, 51051, 64646, 50432, 50988, 57245, 51867, 50296, 51637, 50438, 50988, 51109, 50885, 52378, 53160, 51318, 66368, 51961, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 66169, 52121, 50988, 51484, 50885, 52048, 50979, 51679, 51208, 51742, 50420, 50847, 52441, 50426, 50988, 51051, 64646, 50432, 50988, 57245, 51867, 50295, 51637, 50438, 50988, 51109, 50885, 52378, 53160, 51318, 50444, 50979, 51961, 51020, 51080, 50448, 51667, 51356, 50450, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 57746, 51484, 50848, 52048, 50847, 51679, 51208, 51742, 50426, 51652, 79752, 51051, 64730, 50432, 50988, 57053, 51867, 50294, 51637, 50438, 52457, 51345, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 70984, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50848, 52378, 66169, 53295, 50988, 51484, 50848, 52048, 50872, 51679, 51208, 51742, 50856, 52917, 50988, 51051, 64730, 50432, 50988, 57053, 51867, 50297, 51637, 50438, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 71205, 51020, 66405, 50872, 51852, 50988, 51253, 50451, 50848, 52378, 57746, 51484, 50885, 52048, 50868, 51679, 51208, 51742, 50420, 50847, 52441, 50426, 50988, 51051, 64646, 50432, 50988, 57245, 51867, 50296, 51637, 50438, 50988, 51109, 50885, 52378, 53160, 51318, 66368, 51961, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 66169, 52121, 50988, 51484, 50885, 52048, 50979, 51679, 51208, 51742, 50420, 50847, 52441, 50426, 51652, 67933, 51051, 64646, 50432, 52376, 72226, 57245, 51867, 50295, 51637, 50437, 51652, 63418, 50988, 51109, 50885, 52378, 53160, 51318, 50444, 50979, 51961, 51020, 66405, 51667, 68941, 52460, 50988, 51253, 50451, 50885, 52378, 73935, 76692, 51484, 50848, 52048, 50847, 51679, 51208, 51742, 50426, 52376, 51379, 50988, 51051, 64730, 50432, 50988, 57053, 51867, 50294, 51637, 50434, 52457, 57222, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 70984, 51020, 66405, 52135, 53073, 50847, 52460, 50988, 51253, 50451, 50848, 52378, 66169, 53295, 50988, 51484, 50848, 52048, 50872, 51679, 51208, 51742, 50426, 50988, 51051, 64730, 50432, 50988, 57053, 51867, 50297, 51637, 50438, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 71205, 51020, 66405, 50872, 51852, 50988, 51253, 50451, 50848, 52378, 57746, 51484, 50885, 52048, 50868, 51679, 51208, 54829, 51089, 51680, 50420, 50847, 52441, 50426, 50988, 51051, 64646, 50432, 50988, 57245, 51867, 50296, 51637, 50438, 50988, 51109, 50885, 52378, 53160, 51318, 66368, 51961, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 66169, 52071, 50988, 51484, 50885, 52048, 50979, 51679, 51208, 51742, 50420, 50847, 52441, 50426, 50988, 51051, 64646, 50432, 50988, 57245, 51867, 50295, 51637, 50438, 50988, 51109, 50885, 52378, 53160, 51318, 50444, 50979, 51961, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 50456, 52457, 50948, 59626, 51652, 51090, 50927, 51562, 50988, 51480, 50848, 52048, 50847, 51679, 51208, 51742, 50832, 54897, 55591, 50987, 55997, 59197, 51667, 51167, 50988, 50933, 50848, 62558, 62653, 57959, 51652, 73722, 57046, 51867, 50294, 51283, 50832, 59461, 55707, 51443, 51056, 50988, 51109, 50848, 52188 ]
[ 0, 250, 33928, 8, 33558, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 13305, 6, 21072, 6, 21979, 8669, 6, 3459, 9590, 6, 8, 32909, 4, 20, 2125, 16, 11, 230, 538, 6, 19, 10, 7212, 20889, 9, 8971, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 10726, 9, 230, 8, 272, 406, 6, 8216, 7, 5, 2214, 18, 17627, 17274, 8, 15352, 30054, 2574, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 56310, 51458, 50297, 51151, 51164, 51151, 50946, 51101, 52936, 60922, 67617, 53502, 56566, 67141, 50901, 53645, 56204, 64390, 56794, 54777, 50900, 56566, 61098, 55306, 51027, 62756, 61525, 54068, 55322, 50900, 56566, 67141, 55125, 50871, 56204, 64390, 56794, 55670, 50900, 56566, 61098, 50901, 79705, 51734, 50301, 58800, 59258, 78167, 51151, 51164, 51151, 50946, 51101, 52936, 60922, 67617, 53502, 56566, 67141, 55035, 53250, 51255, 50871, 57254, 51363, 77115, 50872, 64390, 56794, 54777, 50900, 56566, 61098, 61647, 53250, 60951, 50822, 50876, 53415, 53407, 52434, 50301, 57254, 61913, 60884, 61525, 54042, 55945, 56418, 66040, 59374, 51911, 50326, 61677, 67141, 55125, 50871, 56204, 64390, 56794, 55670, 54985, 63327, 57586, 51644, 50325, 55109, 61098, 50901, 50799, 54985, 64689, 51458, 50292, 59391, 75052, 50914, 51332, 50915, 51037, 51101, 50964, 58641, 67617, 53502, 56566, 67141, 55035, 53863, 51194, 50916, 61419, 51363, 50951, 51221, 50868, 64390, 56794, 54777, 50900, 56566, 61098, 61647, 55602, 60951, 50822, 51114, 53415, 53863, 51267, 50997, 51514, 50292, 64292, 71946, 50914, 51332, 50915, 51037, 51101, 50964, 58955, 54068, 50901, 55513, 56566, 67141, 55125, 50916, 55905, 64390, 56794, 55670, 50900, 56566, 61098, 50901, 50799, 54985, 51159, 51027, 51458, 50297, 59391, 75052, 50914, 51164, 50915, 50946, 51101, 50945, 58641, 67617, 53502, 56566, 67141, 55035, 53407, 75494, 57254, 51363, 50931, 51221, 51027, 51003, 50946, 64986, 51101, 51011, 58379, 56794, 54777, 50900, 56566, 61098, 61647, 53407, 50833, 62804, 50931, 54181, 53407, 64689, 51514, 50292, 60598, 65910, 50914, 51164, 51003, 50946, 51101, 50964, 58955, 54068, 55322, 50900, 56566, 67141, 55125, 53771, 65430, 61567, 59487, 57094, 71278, 61677, 56204, 51101, 51133, 58379, 56794, 55670, 50900, 63327, 56566, 57847, 52839, 50901, 78857, 51518, 51027, 58800, 51662, 50931, 51518, 51050, 51151, 51164, 51151, 50946, 51101, 50945, 60922, 67617, 53502, 56566, 67141, 50901, 53645, 56204, 64390, 56794, 54777, 50900, 56566, 61098, 55306, 51027, 62756, 61525, 54068, 55322, 50900, 56566, 67141, 55125, 50871, 56204, 64390, 56794, 55670, 50900, 56566, 61098, 50901, 79705, 51734, 50301, 58800, 59258, 51800, 50297, 51151, 51164, 51151, 50946, 51101, 52936, 60922, 67617, 53502, 56566, 67141, 55035, 53250, 51255, 50871, 57254, 51363, 77115, 50872, 64390, 56794, 54777, 50900, 56566, 61098, 61647, 53250, 60951, 50822, 50876, 53415, 53407, 52434, 50301, 57254, 61913, 60884, 61525, 54068, 55322, 56418, 66040, 59374, 51911, 50326, 61677, 67141, 55125, 50871, 56204, 64390, 56794, 55670, 54985, 63327, 57586, 51644, 50325, 55109, 61098, 50901, 50799, 54985, 64689, 51458, 50292, 59391, 75052, 50914, 51332, 50915, 51037, 51101, 50964, 58641, 67617, 53502, 56566, 67141, 55035, 53863, 51194, 50916, 61419, 51363, 50951, 51221, 50868, 64390, 56794, 54777, 50900, 56566, 61098, 61647, 55602, 60951, 50822, 51114, 53415, 53863, 51267, 50997, 51514, 50292, 64292, 71946, 50914, 51332, 50915, 51037, 51101, 50964, 58955, 54068, 55322, 50900, 56566, 67141, 55125, 50916, 55905, 64390, 56794, 55670, 50900, 56566, 61098, 50901, 50799, 54985, 51159, 51027, 51458, 50297, 59391, 75052, 50914, 51164, 50943, 50946, 51101, 50945, 58641, 67617, 53502, 56566, 67141, 55035, 53407, 75494, 57254, 51363, 50931, 51221, 51027, 51003, 71209, 75333, 51011, 58379, 56794, 54777, 50900, 56566, 61098, 61647, 53407, 50854, 62804, 50931, 54181, 53407, 64689, 51514, 50292, 60598, 65910, 50914, 51164, 51003, 50946, 51101, 50964, 58955, 54042, 55322, 50900, 56566, 67141, 55125, 53771, 65430, 59487, 57864, 71278, 61677, 56743, 51101, 51133, 58379, 56794, 55670, 50900, 63327, 56566, 50987, 50885, 57154, 50901, 78857, 51692, 51027, 58800, 51662, 50931, 51518, 51050, 51151, 51164, 51151, 50946, 51101, 50945, 60922, 67617, 53502, 56566, 67141, 50901, 53645, 56204, 64390, 56794, 54777, 50900, 56566, 61098, 55306, 51027, 62756, 61525, 54042, 50901, 55513, 56566, 67141, 55125, 50871, 56204, 64390, 56794, 55670, 50900, 56566, 53021, 50901, 79922, 69970, 60581, 58532, 68504, 50914, 50885, 56566, 50915, 50964, 58641, 54068, 55689, 50916, 55077, 67141, 55035, 53771, 51221, 50900, 57864, 51363, 50968, 51255, 50885, 64390, 56794, 54777, 50916, 55077, 61098, 61647, 53771, 61368, 50822, 50968, 53415, 53863, 51356, 50997, 51514, 50302, 64292, 51077, 50951, 51196, 51037, 67703, 50915, 51096, 58955, 54042, 55945, 50899, 55257, 67141, 55125, 50997, 68799, 64390, 56794, 55670, 50899, 55257, 61098, 50901, 77632, 78389, 51458, 50302, 60241, 61739, 50914, 51037, 67703, 50915, 51096, 58641, 67617, 54569, 55257, 67141, 55035, 53077, 51221, 50997, 58520, 51363, 50902, 51255, 51037, 64390, 56794, 54777, 50899, 55257, 61098, 61647, 53077, 62465, 50822, 50902, 53415, 53407, 51734, 50301, 75125, 60598, 65910, 50914, 50946, 59324, 50915, 51069, 58955, 54068, 55322, 50900, 56566, 67141, 55125, 53407, 51221, 51027, 57254, 51363, 77115, 75248, 50946, 64390, 56794, 55670, 50900, 56566, 61098, 62533, 53407, 62391, 50822, 59855, 66771, 79922, 51159, 51026, 69324, 58532, 59258, 68504, 50914, 50988, 61364, 50915, 51443, 58641, 67617, 53502, 56566, 67141, 55035, 53863, 51221, 50997, 61419, 51363, 50876, 51363, 50951, 51221, 51037, 64390, 56794, 54777, 50900, 56566, 61098, 61647, 53863, 63947, 50822, 59855, 50951, 53415, 53407, 51056, 51050, 51514, 50297, 60598, 59937, 65910, 50914, 51164, 77594, 50915, 52936, 58955, 54068, 55322, 50900, 56566, 67141, 55125, 54985, 51734, 50301, 58000, 65910, 51741, 50325, 50943, 50946, 64390, 56794, 55670, 50900, 56566, 61098, 50901, 57530, 54985, 51919, 50299, 59006, 74690, 68502, 55963, 55808, 50873, 51443, 54788, 67617, 50419, 50627, 50420, 53863, 52545, 50299, 57743, 60452, 61352, 60694, 56743, 50901, 51443, 57154, 50901, 50424, 50626, 50426, 53407, 52545, 50299, 57449, 60452, 64213, 60694, 57076, 50901, 51443, 56993, 56794, 64627, 50626, 50432, 53077, 52545, 50299, 57743, 74690, 59374, 60694, 56743, 50873, 51443, 57154, 61647, 50625, 50438, 53250, 79230, 68184, 60763, 51003, 64804, 60172, 50964, 58955, 54068, 50901, 50440, 50625, 51180, 50901, 50445, 50624, 50448, 51085, 50889, 50449, 63365, 50916, 69785, 50619, 53250, 51377, 50861, 51227, 50906, 51345, 50876, 51112, 51332, 51346, 50964, 58955, 56369, 50901, 51206, 50901, 50451, 50885, 51116, 50452, 69907, 77362, 56871, 57651, 51224, 54806, 50854, 57530, 53250, 50914, 51667, 50943, 51978, 50943, 54833, 51734, 50301, 58800, 59391, 79972, 51151, 52064, 50943, 51164, 51151, 50946, 51101, 52936, 60922, 50873, 51335, 50873, 53502, 56566, 80153, 53172, 53250, 51221, 51667, 51255, 51978, 51255, 54833, 51255, 50871, 57254, 51363, 77115, 52064, 51255, 50872, 64390, 50901, 51321, 54777, 50900, 56566, 78973, 58952, 53250, 50855, 51667, 50810, 51978, 50813, 54833, 50810, 62804, 60040, 52064, 52781, 53407, 50937, 51667, 50977, 52394, 50977, 54833, 75125, 57254, 61913, 50849, 52249, 50977, 50946, 61525, 60095, 55945, 56418, 51056, 51633, 51109, 51978, 50915, 54833, 60045, 59374, 51911, 50326, 50943, 54113, 51109, 50885, 80153, 55125, 50871, 56204, 64390, 50901, 51321, 55670, 54985, 50873, 51643, 50845, 51978, 50845, 54833, 68038, 57586, 51644, 50325, 50873, 52142, 56566, 78973, 50901, 50799, 54985, 51159 ]
[ 0, 250, 19448, 3495, 1619, 2214, 19, 5175, 4785, 6, 4246, 10, 13305, 483, 7513, 30, 3459, 8669, 6, 21072, 6, 38668, 11212, 6, 8, 21979, 9590, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 16634, 178, 5285, 20889, 4, 20, 33215, 16739, 9, 230, 6, 272, 73, 387, 6, 8, 1918, 3639, 7, 5, 2214, 18, 32625, 8, 5679, 26709, 5466, 6, 1969, 13, 9592, 2317, 9450, 8, 657, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 55239, 57974, 55723, 51468, 54079, 50824, 51273, 51054, 52176, 50980, 51144, 50917, 51893, 50914, 77096, 50943, 52583, 52188, 52693, 51775, 52684, 51380, 50843, 52543, 58486, 51708, 51101, 51070, 53738, 51198, 53869, 56016, 51144, 59418, 53098, 51493, 51237, 51493, 51054, 52533, 50980, 51232, 50873, 79330, 67688, 50915, 53460, 51775, 53278, 51412, 52507, 51380, 59811, 55739, 51869, 50959, 51070, 56761, 51280, 53869, 55799, 51144, 53332, 53569, 51140, 52379, 51140, 52208, 51876, 51285, 51144, 50917, 51334, 51307, 64679, 51047, 53460, 51243, 52693, 51445, 52684, 62726, 52300, 54735, 51708, 50978, 51070, 53384, 51119, 78562, 55721, 51144, 51364, 51070, 53430, 52507, 51677, 59811, 54363, 51280, 51364, 51070, 54038, 50913, 56047, 51708, 55127, 50891, 59649, 51115, 61919, 51103, 50843, 52300, 55926, 51708, 51242, 51070, 54213, 51119, 56428, 55375, 51144, 51446, 51070, 52976, 51708, 51539, 52755, 53943, 51280, 55624, 53814, 51708, 54766, 55813, 51876, 54018, 54114, 51273, 51054, 51273, 51054, 52176, 51227, 51893, 50914, 77096, 50914, 52583, 51775, 52693, 51233, 52684, 51380, 50843, 52694, 54735, 51708, 51233, 51070, 53384, 51198, 76975, 55686, 51144, 57233, 53166, 51493, 51735, 51493, 51454, 52533, 51345, 51232, 51095, 51924, 50981, 67688, 50914, 53460, 51775, 53278, 51775, 52507, 51775, 59811, 54859, 51869, 50901, 51070, 53556, 51280, 53869, 55397, 51232, 57072, 50891, 53202, 51009, 51140, 51527, 51876, 51285, 51144, 51111, 51334, 51189, 64679, 51218, 53460, 51535, 52693, 51397, 52507, 51417, 50843, 52543, 55926, 51708, 50901, 51070, 53420, 51119, 53540, 54604, 51144, 51141, 51070, 52966, 51708, 50867, 59811, 54929, 51280, 55624, 53670, 51708, 50813, 51390, 51103, 67932, 71038, 55799, 51280, 50800, 67688, 55127, 53115, 51098, 51870, 51098, 51527, 51869, 51285, 67932, 51189, 52583, 51627, 52507, 51183, 50843, 52543, 54704, 52040, 50849, 51070, 53384, 51198, 76975, 54914, 51429, 55624, 52805, 51099, 51095, 59811, 55647, 51198, 57812, 53555, 52040, 50858, 51334, 50822, 64679, 55027, 56047, 51198, 50841, 51099, 50829, 51590, 50833, 78316, 61119, 50863, 54389, 51009, 51216, 51527, 52537, 51148, 51232, 51116, 51229, 51307, 61919, 51127, 53278, 51244, 52684, 51244, 50843, 52543, 58486, 52533, 51535, 51070, 53738, 51708, 50995, 50913, 56016, 53163, 50846, 51119, 51417, 51070, 53098, 53163, 50948, 51280, 50867, 59811, 55739, 51232, 55624, 56761, 52787, 50835, 51280, 80144, 55799, 52787, 51178, 51708, 54561, 53569, 51098, 51870, 51098, 51527, 51869, 51274, 52583, 51749, 52507, 51535, 50843, 52300, 54735, 52040, 50978, 51070, 53384, 52787, 50844, 51198, 55748, 55721, 53059, 50937, 51099, 51226, 51070, 53430, 52040, 50857, 59811, 54363, 52631, 50839, 51198, 57427, 54038, 52040, 51051, 50913, 56047, 52631, 50845, 51869, 52909, 50891, 53202, 52208, 51140, 52208, 51876, 51264, 51144, 50942, 53460, 51748, 78064, 52507, 51313, 50843, 52300, 55926, 52588, 50812, 51708, 56320, 54213, 51280, 52501, 55375, 52564, 50892, 51099, 50936, 51070, 52976, 51280, 50851, 59811, 53943, 52588, 51183, 51144, 51363, 51070, 53814, 51280, 79077, 55813, 51153, 51196, 51070, 54114, 51280, 58043, 52694, 54735, 51099, 57194, 53384, 51280, 56138, 55686, 51144, 50921, 51070, 53166, 51280, 50822, 59811, 54859, 78147, 51070, 53556, 51280, 54738, 55397, 51144, 54274, 50891, 54079, 51527, 51273, 51527, 52176, 51661, 51144, 65800, 51477, 52693, 51283, 52684, 52136, 50843, 52543, 55926, 51708, 51101, 51070, 53420, 51198, 76975, 54604, 78147, 51070, 52966, 51708, 50867, 59811, 54929, 52588, 50812, 51144, 51100, 51070, 53670, 52631, 50833, 51708, 55748, 55799, 53059, 50813, 51198, 50879, 51070, 53115, 51098, 51870, 51098, 51527, 53368, 51100, 51869, 51226, 56470, 51878, 52583, 51637, 52507, 53478, 50843, 52543, 54704, 52040, 50977, 51070, 53384, 53059, 50844, 51198, 50977, 50913, 54914, 52588, 50917, 51429, 55624, 52805, 77579, 59811, 55647, 52564, 50839, 51198, 60658, 53555, 52040, 56474, 56047, 52564, 50833, 51198, 50376, 52663, 55929, 52379, 51461, 52208, 53191, 51677, 51964, 51469, 51198, 50910, 53460, 52222, 53278, 52062, 50843, 52543, 55926, 51232, 51267, 51070, 53420, 51869, 64099, 54604, 51280, 50879, 51070, 52966, 51869, 50867, 59811, 54929, 51099, 60228, 53670, 51280, 56753, 55799, 51153, 51215, 51070, 53115, 51280, 51309, 50843, 52543, 54704, 51232, 57918, 53384, 51099, 52703, 54914, 51099, 50821, 57463, 57918, 52805, 51280, 50867, 53145, 50886, 59811, 55647, 51198, 58122, 53555, 51232, 50917, 52395, 55641, 56047, 51869, 60228, 50863, 54389, 51870, 51216, 51527, 52537, 51274, 51232, 50795, 54010, 51058, 53278, 51148, 52684, 51145, 50843, 52543, 58486, 51708, 50933, 51070, 53738, 53163, 50841, 51280, 52790, 56016, 53163, 50967, 51119, 51274, 51070, 53098, 51280, 51539, 52755, 55739, 51232, 57233, 56761, 52787, 50828, 51280, 56138, 55799, 52787, 75006, 64274, 53569, 51098, 51009, 51098, 51527, 51869, 51397, 52583, 51749, 52507, 51535, 50843, 52300, 54735, 52787, 50865, 52040, 50938, 51070, 53384, 79200, 50913, 55721, 53059, 50901, 51429, 50936, 51070, 53430, 51099, 51346, 59811, 54363, 52631, 50862, 51198, 61452, 54038, 52040, 54853, 56047, 52631, 50977, 51198, 59418, 50891, 53202, 52208, 51140, 52208, 51876, 51933, 51144, 50866, 53460, 51243, 52693, 52071, 52507, 52069, 50843, 52300, 55926, 52588, 50937, 51869, 50863, 51708, 59031, 54213, 51280, 54766, 55375, 52564, 50845, 75916, 51070, 52976, 51280, 50874, 59811, 53943, 52588, 51452, 51144, 51162, 51070, 53814, 51280, 63832, 55813, 51153, 51196, 51070, 54114, 51280, 58043, 52694, 54735, 51099, 62483, 53384, 51280, 55962, 55686, 51144, 50924, 51070, 53166, 51876, 51203, 59811, 54859, 51119, 50892, 51070, 53556, 51280, 76975, 55397, 51144, 54018, 50891, 54079, 51527, 51273, 51527, 52176, 51285, 51144, 51100, 52583, 51293, 52693, 51313, 52684, 51445, 50843, 52543, 55926, 51708, 51233, 51070, 53420, 51198, 57733, 54604, 51119, 50917, 51070, 52966, 51708, 50959, 59811, 54929, 51144, 51241, 51070, 53670, 52631, 50859, 51708, 54738, 55799, 53059, 50844, 51198, 50893, 51070, 53115, 51273, 51870, 51273, 51527, 53368, 50873, 52176, 51562, 50843, 52543, 54704, 51708, 79175, 53384, 52588, 50846, 51280, 52501, 54914, 51144, 51158, 51070, 52805, 52588, 50833, 51708, 50810, 59811, 55647, 52564, 50833, 80064, 51070, 53555, 52631, 51358, 51708, 50977, 50913, 56047, 51198, 57918, 50863, 53458, 52512, 51098, 52097, 51869, 51285, 77579, 53460, 51749, 52583, 51939, 52507, 51677, 50843, 52543, 55926, 52040, 79175, 53420, 51198, 76975, 54604, 51099, 57233, 52966, 52040, 51539, 52755, 54929, 51119, 60658, 53670, 51198, 51174, 50913, 55799, 51869, 53419, 53115, 51098, 51054, 51098, 51054, 51869, 51112, 51198, 50987, 51119, 50808, 56470, 51627, 50843, 52543, 54704, 51429, 50805, 51070, 53384, 51198, 50978, 50913, 54914, 51099, 59418, 52805, 51140, 51237, 51140, 51054, 51876, 51116, 51119, 51235, 52693, 51775, 59811, 55647, 52631, 50844, 51144, 55127, 53555, 52588, 50841, 51280, 57733, 56047, 70868, 51144, 59418, 50863, 56098, 51870, 51493, 51527, 53059, 50858, 52533, 51196, 51099, 50936, 51209, 52263, 51590, 52263, 67688, 51183, 56470, 51310, 53278, 51310, 52507, 51115, 69443, 52543, 58486, 52787, 50858, 52040, 70136, 53738, 51232, 53869, 56016 ]
[ 0, 250, 765, 15855, 2125, 4246, 41, 21979, 8669, 6, 42, 15229, 1931, 21683, 10, 19448, 8, 5679, 26709, 13569, 9862, 4, 590, 10, 7212, 20889, 8, 278, 11, 5, 762, 9, 211, 3694, 6, 24, 30853, 18399, 11, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 163, 428, 6, 83, 6, 8, 1614, 757, 3639, 10, 2842, 9, 45565, 12589, 4002, 7, 42, 15352, 30054, 8, 822, 12, 3341, 4388, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 73085, 50417, 50947, 53113, 51032, 54007, 51067, 52422, 51786, 55104, 51067, 52686, 51032, 53660, 50947, 52877, 73085, 50441, 50947, 53247, 51032, 54787, 51067, 53153, 65222, 51786, 55982, 51067, 52935, 51032, 54863, 60405, 61108, 75843, 51064, 53113, 51067, 54007, 51563, 52422, 53019, 55104, 51064, 52686, 51067, 53660, 51563, 52877, 80161, 50441, 50929, 53247, 51064, 54787, 51067, 53153, 51549, 55982, 50929, 52935, 51064, 54863, 65611, 60533, 75843, 50947, 53113, 51032, 54007, 51067, 52422, 51786, 55104, 51067, 52686, 51032, 53660, 50947, 52877, 73085, 50441, 50947, 53247, 51032, 54787, 51067, 53153, 65222, 51788, 55982, 51067, 52935, 51032, 54863, 60405, 61108, 75843, 51064, 53113, 51067, 54007, 51563, 52422, 53019, 55104, 51064, 52686, 51067, 53660, 51563, 52877, 80161, 50441, 50929, 53247, 51064, 54787, 51067, 53153, 51549, 55982, 50929, 52935, 51064, 54863, 65611, 60938, 56191, 51064, 53113, 51549, 54007, 51438, 52422, 51549, 55104, 50929, 52686, 51064, 53660, 51549, 52877, 51078, 56050, 50947, 53247, 51067, 54787, 51549, 53153, 51067, 55982, 50970, 52935, 51169, 54863, 65611, 69146, 56191, 50929, 53113, 51032, 54007, 51067, 52422, 51032, 55104, 51136, 52686, 50929, 53660, 51032, 52877, 50960, 56050, 50970, 53247, 51064, 54787, 51032, 53153, 51064, 55982, 50960, 52935, 50970, 54863, 74670, 50799, 57998, 50417, 51136, 53113, 50947, 54007, 51064, 52422, 55784, 50429, 50986, 69055, 51136, 53660, 50947, 52877, 63965, 50441, 50960, 53247, 50929, 54787, 50947, 53153, 55046, 50453, 51246, 66911, 50960, 54863, 59400, 62954, 56191, 50986, 72101, 51078, 54007, 50929, 52422, 51078, 76707, 51131, 52686, 50986, 55246, 51078, 52877, 51207, 56050, 51246, 72040, 51136, 54787, 50970, 53153, 51136, 51160, 50453, 51207, 52935, 51246, 56277, 73711, 50799, 52028, 56191, 51131, 51160, 57761, 54007, 51136, 52422, 50960, 76707, 51504, 52686, 51846, 55246, 50960, 52877, 51574, 56050, 51207, 53247, 50986, 55967, 50960, 53153, 50986, 55982, 52562, 52935, 51207, 54863, 51317, 50821, 60533, 50821, 50960, 51160, 50417, 51207, 53113, 51246, 54901, 50960, 52422, 50929, 55104, 50947, 52686, 51064, 53660, 50929, 52877, 51444, 50821, 50929, 51160, 50441, 51131, 53247, 50986, 55967, 50929, 53153, 51444, 50821, 51078, 51160, 50453, 51131, 52935, 50986, 56277, 65222, 50799, 54432, 50821, 51246, 50821, 56767, 50417, 53271, 53113, 51444, 54007, 51207, 52422, 63965, 50429, 50960, 52686, 50929, 53660, 51064, 52877, 51067, 56050, 50929, 53247, 51064, 54787, 51067, 53153, 51563, 50821, 58208, 50453, 51064, 52935, 51067, 54863, 51563, 50821, 50799, 53019, 50821, 54432, 75843, 51064, 53113, 51067, 54007, 51563, 52422, 51067, 55104, 51563, 52686, 51064, 53660, 51067, 52877, 50929, 56050, 50960, 72040, 51246, 54787, 51207, 53153, 51444, 55982, 51207, 52935, 53271, 54863, 51444, 50821, 50799, 54432, 53765, 58208, 75914, 62569, 53019, 53585, 58208, 75914, 62569, 51563, 50896, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2933, 8, 5679, 26709, 5175, 15855, 15229, 6, 4246, 38668, 22052, 6, 1515, 21305, 6, 20535, 2810, 6, 326, 5638, 18026, 6, 8, 15679, 642, 1543, 4, 590, 10, 86, 6543, 9, 204, 73, 306, 8, 10, 27841, 3006, 11332, 20889, 9, 26196, 741, 1685, 6, 42, 2125, 16, 278, 11, 5, 762, 9, 211, 3694, 6, 21437, 10, 33215, 16739, 9, 211, 119, 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 ]	[ 50799, 50645, 54638, 50823, 64069, 50823, 56833, 50975, 52601, 50823, 63647, 50823, 51648, 50823, 52488, 50823, 53266, 74662, 52179, 50913, 52179, 50420, 53949, 50975, 60047, 50975, 52032, 50975, 58047, 50975, 51906, 50975, 52178, 59216, 50913, 75506, 53370, 51009, 55931, 51009, 51946, 51009, 53883, 51009, 51963, 51009, 51866, 51009, 53198, 61389, 70075, 50975, 55173, 74662, 52179, 50913, 52179, 50450, 50913, 51697, 53341, 51297, 50799, 72286, 50824, 58943, 50824, 53370, 50824, 53949, 50824, 53121, 50975, 52032, 50824, 51906, 50824, 54461, 50824, 52339, 50824, 52701, 50824, 52178, 58329, 52179, 50913, 52179, 50426, 50913, 75506, 70075, 50823, 54884, 50823, 56490, 51009, 53818, 51009, 52351, 51059, 52196, 51009, 51913, 51009, 55173, 50823, 51947, 50823, 53093, 51009, 52148, 51009, 53198, 61389, 51335, 52179, 50913, 52179, 50444, 70075, 50823, 55173, 53798, 50702, 50298, 50975, 55870, 70045, 51697, 53341, 51297, 50799, 54638, 50823, 64069, 50823, 56833, 50975, 52601, 50823, 63647, 50823, 51648, 50823, 52488, 50823, 53266, 74662, 52179, 50913, 52179, 50420, 53949, 50975, 60047, 50975, 52032, 50975, 58047, 50975, 51906, 50975, 52178, 59216, 50913, 75506, 53370, 51009, 55931, 51009, 51946, 51009, 53883, 51009, 51963, 51009, 51866, 51009, 53198, 61389, 70075, 50975, 55173, 74662, 52179, 50913, 52179, 50450, 50913, 51697, 53341, 51297, 50799, 72286, 50824, 58943, 50824, 53370, 50824, 53949, 50824, 53121, 50975, 52032, 50824, 51906, 50824, 54461, 50824, 52339, 50824, 52701, 50824, 52178, 58329, 52179, 50913, 52179, 50426, 50913, 75506, 70075, 50823, 54884, 50823, 56490, 51009, 53818, 51009, 52351, 50975, 52196, 51009, 51913, 51009, 55173, 50823, 51947, 50823, 53093, 51009, 52148, 51009, 53198, 61389, 51335, 52179, 50913, 52179, 50444, 70075, 50823, 55173, 53798, 50702, 50298, 50975, 55870, 70045, 51697, 53341, 51297, 50799, 54638, 50823, 64069, 50823, 56833, 50975, 52601, 50823, 63647, 50823, 51648, 50823, 52488, 50823, 53266, 74662, 52179, 50913, 52179, 50420, 53949, 50975, 60047, 50975, 52032, 50975, 58047, 50975, 51906, 50975, 52178, 59216, 50913, 75506, 53370, 51009, 55931, 51009, 51946, 51009, 53883, 51009, 51963, 51009, 51866, 51009, 53198, 61389, 70075, 50975, 55173, 74662, 52179, 50913, 52179, 50450, 50913, 51697, 53341, 51297, 50799, 70075, 50824, 58943, 50824, 53370, 50824, 53949, 50824, 53121, 50975, 52032, 50824, 51906, 50824, 55173, 50824, 52339, 50824, 52701, 50824, 52178, 58329, 52179, 50913, 52179, 50426, 50913, 75506, 70075, 50823, 54884, 50823, 56490, 51009, 53818, 51009, 52351, 50975, 52196, 51009, 51913, 51009, 55173, 50823, 51947, 50823, 53093, 51009, 52148, 51009, 53198, 61389, 51335, 52179, 50913, 52179, 50450, 70075, 50975, 54884, 50975, 55173, 50975, 51947, 70045, 51697, 53341, 51297, 50799, 72286, 50975, 53949, 50975, 53121, 50975, 52032, 50975, 51906, 50975, 54461, 50975, 52178, 74662, 52179, 50913, 52179, 50426, 53370, 50823, 51946, 57343, 75506, 53949, 50823, 53121, 50975, 52032, 50823, 51906, 50975, 52178, 50975, 53198, 61389, 54511, 50823, 52665, 68562, 52179, 50913, 52179, 50444, 70075, 50824, 56490, 50824, 53818, 50824, 52351, 50975, 53780, 50824, 52196, 50824, 53152, 50824, 51913, 50824, 55173, 50824, 52698, 50824, 52148, 50824, 53721, 51697, 53341, 51297, 50799, 56833, 50975, 56648, 50975, 53370, 50975, 52913, 50975, 51946, 50975, 51963, 50975, 53266, 50975, 53266, 50975, 52339, 50975, 51866, 74662, 54228, 50913, 52179, 50444, 56648, 50975, 57720, 50975, 52339, 58981, 54884, 50823, 52338, 50823, 52664, 50823, 51947, 57343, 51697, 50456, 58943, 50823, 54541, 50823, 54961, 50823, 52701, 50823, 53341, 51297, 50799, 70075, 50975, 54511, 50975, 54884, 51009, 52351, 50975, 52665, 50975, 52719, 50975, 55173, 50975, 52058, 50975, 51947, 51009, 51335, 52179, 50913, 52179, 50426, 55575, 50975, 52695, 50975, 52970, 50975, 51968, 70045, 52179, 53198, 61389, 50702, 50298, 50975, 54924, 50975, 58564, 50975, 53064, 50975, 52851, 50975, 55870, 50975, 52384, 74662, 52179, 50913, 52179, 50450, 56490, 50975, 53780, 50975, 53152, 50975, 52698, 70045, 52179, 53341, 51297, 50799, 53370, 50823, 56833, 50975, 52820, 50975, 51946, 50823, 51963, 50823, 51866, 50823, 53266, 74662, 52179, 50913, 52179, 50420, 53949, 50975, 52032, 50975, 51906, 50975, 52178, 59216, 50913, 75506, 56648, 50823, 54511, 50823, 52820, 50975, 52665, 50823, 52719, 50823, 52339, 50823, 52058, 50823, 53198, 61389, 51335, 52179, 50913, 52179, 50444, 56648, 50823, 52820, 50975, 52339, 53798, 54884, 50823, 52338, 50823, 52664, 50823, 51947, 57343, 51697, 50456, 58943, 50823, 54541, 50823, 54961, 50823, 52701, 50823, 53341, 51297, 50799, 54511, 50823, 70075, 50975, 54884, 51009, 52351, 50975, 52665, 50823, 52719, 50823, 52058, 50823, 55173, 50975, 51947, 51009, 51335, 52179, 50913, 52179, 50420, 54511, 50823, 52665, 50823, 52719, 50823, 52058, 53537, 55575, 50823, 52695, 50823, 52970, 50823, 51968, 57343, 75506, 55575, 50823, 52695, 50823, 52970, 50823, 51968, 50823, 53198, 61389, 54924, 50823, 50702, 50298, 50975, 58564, 50975, 53064, 50823, 52851, 50823, 52384, 50823, 55870, 74662, 52179, 50913, 52179, 50444, 56490, 50824, 53780, 50824, 53152, 50824, 52698, 54145, 50913, 51697, 53341, 51297, 50799, 56833, 50975, 53370, 50975, 52820, 50975, 51946, 50975, 51963, 50975, 53266, 50975, 51866, 74662, 52179, 50913, 52179, 50420, 53949, 50823, 60047, 50823, 50702, 50338, 50823, 52032, 50823, 58047, 50823, 52366, 50823, 52178, 53537, 59113, 50975, 53370, 50975, 55931, 50975, 50702, 50335, 50975, 51946, 50975, 53883, 50975, 51776, 50975, 53093, 50975, 51866, 70045, 51697, 53198, 61389, 56833, 50823, 54511, 50975, 54638, 50975, 64069, 50975, 52820, 50975, 52665, 50975, 52601, 50975, 51648, 50975, 53266, 50823, 52058, 74662, 52179, 50913, 52179, 50444, 56648, 50823, 52339, 53798, 54884, 50823, 52338, 50823, 52664, 50823, 51947, 57343, 51697, 50456, 58943, 50823, 54541, 50823, 54961, 50823, 52701, 50823, 53341, 51297, 50799, 54511, 50823, 70075, 50975, 54884, 51009, 52351, 50975, 52665, 50823, 52719, 50823, 52058, 50823, 55173, 50975, 51947, 51009, 51335, 52179, 50913, 52179, 50420, 55575, 50824, 52695, 50824, 52970, 50824, 51968, 54107, 50913, 51697, 53198, 61389, 50702, 50298, 50975, 54924, 50975, 58564, 50975, 53064, 50975, 52851, 50975, 55870, 50975, 52384, 74662, 52179, 50913, 52179, 50450, 56490, 50975, 53780, 50975, 53152, 50975, 52698, 70045, 51697, 53341, 51297, 50799, 53370, 50823, 56833, 50975, 52820, 50975, 51946, 50823, 51963, 50823, 51866, 50823, 53266, 74662, 52179, 50913, 52179, 50420, 53818, 50975, 52196, 50975, 51913, 50975, 52148, 59216, 50913, 75506, 53949, 50975, 52032, 50975, 51906, 50975, 52178, 50975, 53198, 61389, 70075, 50975, 52351, 50975, 55173, 74662, 52179, 50913, 52179, 50444, 53370, 50823, 51946, 50823, 51963, 50823, 51866, 53798, 56490, 50823, 53780, 50823, 53152, 50823, 52698, 57343, 51697, 50456, 53370, 50823, 51946, 50823, 51963, 50823, 51866, 50823, 53341, 51297, 50799, 53818, 50823, 58714, 50823, 56833, 51407, 58943, 51407, 55662, 50975, 52820, 50975, 52196, 50823, 56065, 50823, 51913, 50823, 52002, 50823, 52148, 50823, 55235, 50823, 53266, 51407, 52701, 51407, 51335, 52179, 50913, 52179, 50420, 55321, 50823, 59642, 50823, 52541, 50823 ]
[ 0, 250, 5679, 26709, 3495, 2214, 4246, 21979, 8669, 6, 30587, 8669, 6, 13602, 6757, 6, 18558, 6, 8, 2724, 368, 31365, 25999, 6, 2351, 10, 15352, 30054, 8, 19448, 5466, 19, 17878, 9, 15073, 8, 657, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 10, 1769, 20889, 9, 17445, 13410, 228, 2289, 6, 19, 5, 33215, 16739, 9, 272, 119, 8, 230, 119, 19983, 1328, 5, 2214, 18, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 50796, 50461, 51338, 56300, 52892, 52919, 50799, 50675, 50280, 57676, 50979, 51199, 68205, 77557, 51332, 55068, 50885, 51148, 50856, 56082, 50438, 79372, 50979, 51242, 50909, 76015, 64583, 50455, 62486, 78351, 69196, 52478, 78774, 50847, 57093, 50845, 50424, 52451, 65262, 51109, 50425, 53603, 50995, 50436, 50979, 51111, 50847, 62641, 51013, 50437, 52451, 50915, 50447, 50885, 61495, 52892, 62211, 54276, 54432, 51055, 51137, 51013, 50455, 50856, 63357, 53845, 54153, 51164, 51077, 50872, 50889, 50992, 50889, 77289, 50461, 58397, 51472, 50856, 58690, 52894, 50918, 52592, 52919, 50437, 50992, 51162, 79723, 80142, 50449, 53271, 50893, 51526, 51554, 50297, 51134, 50455, 51725, 50800, 51416, 50808, 50992, 55029, 50854, 50909, 66879, 51725, 51227, 51416, 51290, 52478, 50909, 50967, 50872, 51177, 50992, 51178, 50425, 52562, 50924, 52585, 50924, 54096, 51047, 51164, 50807, 50430, 52584, 70328, 51504, 65582, 51504, 51013, 52584, 67949, 51111, 50992, 51095, 50909, 50967, 50448, 50856, 61841, 51526, 50865, 52796, 51480, 51164, 56060, 53271, 50879, 50454, 50856, 59310, 51725, 50800, 51416, 50910, 60428, 70948, 50872, 51128, 50460, 50856, 55198, 50461, 51725, 54527, 51416, 54454, 61983, 50909, 51312, 51332, 54834, 50799, 54575, 51047, 52796, 59948, 52592, 50904, 50847, 51346, 50979, 51100, 50909, 69203, 52796, 51244, 50449, 70386, 50456, 66603, 50979, 50833, 80243, 50799, 52592, 51662, 50419, 50847, 60429, 50942, 50909, 50805, 50425, 53271, 73945, 58193, 51526, 50889, 50431, 53271, 79271, 51725, 51013, 51416, 50889, 75468, 74805, 78957, 50448, 51137, 50914, 60180, 50449, 54432, 50889, 53603, 50932, 50856, 59464, 50872, 54336, 64333, 51132, 54527, 78550, 50992, 51191, 51164, 51452, 50909, 51091, 53845, 55428, 50461, 58397, 54454, 50856, 51585, 50799, 52592, 52140, 50437, 50872, 53753, 50992, 53651, 50909, 53363, 50450, 53603, 51333, 50461, 52592, 52168, 51206, 52827, 55746, 58397, 50812, 51132, 58812, 51132, 51628, 58397, 50942, 50437, 51137, 68392, 54432, 51227, 50449, 72187, 51157, 51533, 51073, 50461, 56676, 57771, 53205, 52720, 58899, 55392, 73756, 76895, 51652, 51661, 50799, 50675, 50280, 52903, 51338, 51077, 52892, 54373, 51332, 53295, 50885, 51314, 50847, 55530, 51274, 50415, 55561, 69103, 50437, 51652, 74532, 76322, 50979, 51412, 50909, 51267, 50439, 50804, 51354, 50449, 51338, 51945, 50450, 50885, 51419, 69111, 60428, 50847, 60296, 54438, 51472, 50461, 51652, 51013, 53069, 70983, 78242, 50909, 51363, 50425, 52770, 54243, 50885, 57173, 50979, 65219, 50979, 50812, 51831, 51362, 50438, 74867, 50909, 51400, 50804, 51735, 50449, 50885, 52800, 51338, 51048, 51652, 67570, 50967, 50455, 58180, 50461, 51132, 51977, 73360, 76795, 68457, 51164, 51703, 51721, 51013, 50799, 55463, 55597, 53952, 57771, 59860, 52826, 57533, 58728, 61153, 50837, 53845, 55482, 50798, 51274, 50425, 52185, 51264, 50437, 79275, 50992, 51109, 50909, 67043, 51460, 50448, 58471, 50449, 51164, 50981, 50454, 50909, 63585, 75404, 50872, 53948, 51285, 52478, 66058, 50992, 51194, 50909, 51095, 50423, 51831, 51013, 50424, 51164, 51221, 50429, 50872, 53720, 52185, 50896, 50436, 66058, 50992, 51101, 50909, 69587, 50804, 51427, 50447, 51831, 51013, 50448, 51164, 53639, 51132, 72330, 50938, 50454, 50979, 56573, 50885, 51244, 52185, 50896, 50460, 51332, 55277, 76895, 68205, 50909, 51097, 50461, 51338, 54089, 56676, 73728, 53205, 52204, 50799, 55561, 73728, 58899, 56235, 50798, 51090, 50424, 51652, 51696, 50436, 79372, 50909, 51255, 50437, 50979, 55284, 51354, 50449, 50885, 56203, 70329, 67984, 55806, 57742, 53462, 51285, 52478, 77938, 50847, 50892, 50419, 50909, 50838, 50424, 52832, 50940, 50425, 50885, 50905, 50430, 52832, 70328, 50979, 65598, 52832, 51160, 50437, 50979, 57262, 51177, 72579, 50439, 50804, 51932, 50448, 52832, 51227, 50449, 51338, 51073, 61161, 50451, 50798, 50952, 50455, 56992, 50461, 51132, 54527, 51164, 51047, 53845, 55428, 50872, 51419, 50992, 51134, 50909, 51351, 51652, 51016, 50799, 52892, 50359, 50413, 50798, 51030, 50415, 55463, 61164, 59860, 58962, 53952, 59828, 57533, 56004, 50431, 51831, 50865, 50437, 50992, 51380, 50909, 51116, 50872, 51337, 52770, 50924, 53550, 70953, 51831, 51167, 50449, 51164, 51043, 57613, 57924, 52832, 51055, 50455, 50992, 53176, 55904, 60428, 50457, 50798, 51358, 53069, 68064, 50992, 51277, 50909, 50892, 52770, 51933, 50426, 51164, 51255, 50431, 50872, 54728, 64339, 50909, 53543, 51013, 50449, 51132, 51055, 51164, 52989, 50798, 50938, 50455, 50979, 63849, 56676, 57598, 50461, 51338, 52045, 77433, 56235, 58899, 58728, 53205, 52829, 51332, 55428, 76080, 60154, 50909, 60798, 51314, 51652, 51285, 51528, 50896, 50437, 67591, 50909, 51312, 51652, 72328, 50979, 60344, 51354, 50449, 50798, 57006, 50885, 51884, 50456, 50979, 50971, 57742, 50847, 53983, 51472, 50461, 51652, 51235, 53069, 50847, 58451, 51212, 50420, 50979, 76991, 50885, 51233, 52770, 77684, 50979, 66186, 58966, 65420, 51831, 51290, 53550, 51427, 50449, 50885, 50862, 51652, 72330, 58138, 51338, 51055, 50455, 60173, 50461, 51132, 54300, 55463, 54373, 53845, 55408, 69427, 75998, 51164, 51397, 77557, 51721, 58571, 51055, 50799, 59860, 58962, 53952, 57598, 57533, 58728, 50425, 52185, 51175, 50436, 50992, 51253, 52185, 52382, 50437, 50909, 51048, 50872, 53264, 50804, 51379, 50449, 51164, 57787, 64998, 50909, 63335, 56401, 50992, 53176, 50798, 50918, 53069, 55904, 50992, 51043, 50909, 51194, 50425, 51164, 51056, 50430, 55904, 50437, 63588, 50992, 51109, 50909, 51048, 53550, 50980, 50449, 51132, 51073, 51164, 50955, 51831, 59387, 75087, 60173, 50460, 51338, 56736, 50461, 75468, 50909, 51158, 51332, 55068, 52185, 70234, 50980, 50799, 58899, 55174, 56676, 57820, 53205, 52720, 50415, 77433, 55392, 50425, 51652, 51345, 50437, 72034, 66276, 50909, 51025, 51652, 54527, 53550, 51158, 50449, 74710, 50885, 59781, 67984, 56031, 50847, 53835, 51285, 53069, 72812, 50847, 56990, 53770, 50885, 51212, 50431, 50979, 70142, 58324, 60395, 53550, 51160, 50448, 52832, 51016, 50449, 50885, 54004, 51338, 53769, 79930, 59865, 50461, 53952, 59828, 53845, 55277, 51164, 51148, 76795, 50909, 51109, 50872, 51423, 51652, 51226, 52894, 54300, 59860, 61164, 57533, 65527, 52892, 68086, 55463, 63712, 50798, 51343, 50431, 51831, 50924, 50437, 50992, 51480, 61523, 50909, 51255, 50438, 52770, 50948, 50439, 50804, 52692, 51831, 67424, 51164, 59486, 58740, 52832, 57024, 55904, 64630, 50909, 53948, 51196, 53069, 59865, 50992, 51481, 50420, 50909, 50892, 52770, 52392, 50426, 51164, 51346, 50431, 59228, 50437, 59458, 50992, 51121, 50909, 79610, 50804, 51192, 50449, 51164, 56060, 51132, 51346, 57533, 63054, 75331, 51338, 51896, 51332, 53295, 65099, 51196, 50799, 56676, 50364, 50412, 58899, 73728, 53205, 52204, 52892, 71620, 50885, 51244, 77938, 79605, 50909, 68361, 51274, 51206, 52369, 50415, 77433, 50363, 50412, 50437, 61264, 51551, 50438, 50847, 51411, 75419, 50909, 51400, 50439, 50804, 50806, 50449, 51338, 50918, 50451, 50885, 71732, 62516, 66664, 74035, 50847, 53948, 51472, 50461, 71567, 51196, 55753, 57230, 67984, 50909, 68751, 50885, 64669, 50979, 64147, 73303, 50979, 55003, 50909, 64210, 51167, 50439, 50729, 50314, 51274, 50449, 50885, 53197, 57415, 51338, 65847, 60774, 50461, 52892, 54270, 59860, 55392, 55463, 53201 ]
[ 0, 250, 15352, 30054, 8, 20425, 5175, 3495, 2214, 4246, 1337, 3505, 9, 23674, 366, 6, 217, 11006, 4122, 12, 1054, 330, 8, 3459, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 163, 5683, 4, 20, 33215, 16739, 9, 12608, 6, 163, 428, 6, 8, 274, 406, 3639, 7, 63, 20902, 8, 17627, 17274, 5466, 6, 442, 24, 10, 1969, 2564, 13, 10, 822, 19834, 50, 10, 657, 527, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50444, 50906, 51538, 51099, 51538, 52647, 53090, 58153, 50889, 50457, 57672, 78123, 58153, 50910, 52177, 58153, 56382, 57672, 62815, 50876, 51538, 51512, 51538, 58153, 50889, 50443, 57672, 69352, 58153, 50910, 50452, 58153, 50938, 50460, 57672, 50910, 52177, 50906, 53090, 51099, 51538, 52647, 51538, 58153, 63455, 57672, 58877, 58153, 57581, 58153, 69352, 57672, 50910, 50451, 51512, 51623, 52114, 51538, 57672, 50910, 50455, 57672, 50889, 52591, 57672, 50910, 50424, 57672, 50910, 50429, 57672, 75407, 51512, 51116, 50437, 67944, 57672, 50910, 50441, 67944, 51099, 50910, 58153, 51141, 76495, 51116, 51099, 51116, 50454, 50906, 50889, 72648, 50459, 57672, 51141, 53069, 71091, 51494, 68018, 67594, 79772, 50428, 50906, 51077, 51099, 51077, 58153, 51141, 50436, 52647, 50910, 50441, 52003, 50910, 50445, 53643, 51141, 57672, 51116, 50453, 67944, 51099, 50910, 58153, 51116, 50458, 50906, 50938, 51099, 50938, 54960, 50910, 51512, 51077, 52647, 51077, 64167, 51141, 50418, 51001, 51446, 50431, 58153, 51116, 50440, 50876, 50938, 51512, 51116, 52647, 51116, 64167, 70595, 72926, 50448, 50906, 51446, 58153, 51141, 50457, 51099, 51141, 52647, 51141, 52177, 58153, 51116, 50422, 50906, 56412, 72926, 51308, 51116, 51771, 51116, 57672, 51116, 50430, 50931, 65470, 50951, 51116, 51639, 51116, 52158, 51116, 58153, 51141, 50443, 50951, 51141, 51639, 51141, 52158, 51141, 50452, 57672, 51141, 50460, 69697, 51275, 50910, 52177, 71049, 51639, 50910, 50421, 51147, 50889, 58153, 51141, 50429, 51639, 51116, 52158, 51116, 50434, 50951, 57581, 50931, 50889, 57672, 51141, 50447, 51308, 51116, 51771, 51116, 50451, 72926, 50455, 71774, 51512, 51446, 51890, 51446, 55497, 51141, 50459, 50931, 51141, 60212, 57672, 51141, 50429, 71774, 51308, 75407, 67594, 51512, 79178, 67944, 51099, 50910, 50441, 50965, 51141, 51144, 51141, 55497, 64482, 55497, 57415, 57672, 51116, 50459, 51001, 51116, 51153, 51116, 52609, 51116, 55497, 51116, 53069, 50951, 51116, 51275, 51116, 52609, 51116, 57672, 51116, 50428, 51081, 51116, 58153, 51141, 50436, 69955, 51516, 51116, 52158, 51116, 50441, 51081, 50889, 50445, 58153, 51141, 50453, 71049, 51639, 50910, 52158, 62990, 50951, 50938, 62856, 51116, 51777, 51141, 52158, 51141, 58153, 51141, 50423, 50951, 51116, 50431, 50931, 51116, 51777, 51141, 51771, 51141, 55497, 51116, 50440, 51001, 51116, 55479, 51116, 50448, 57600, 51141, 50457, 72926, 51153, 50910, 52609, 78123, 72926, 51153, 50910, 52609, 50910, 52177, 50902, 50889, 52158, 51116, 64167, 74978, 51429, 51116, 50430, 51001, 65470, 50931, 51116, 51153, 51141, 52609, 51141, 57600, 51141, 50443, 51001, 51116, 50452, 50902, 51116, 51308, 51116, 51890, 51116, 55479, 51116, 50460, 67594, 51512, 51116, 52647, 51116, 55497, 51116, 52177, 67594, 50421, 50906, 50889, 58153, 51141, 50429, 51099, 51116, 52647, 51116, 50434, 50906, 57581, 51001, 50889, 58153, 51141, 50447, 51308, 51116, 51771, 51116, 50451, 72926, 50455, 50931, 51116, 51275, 51116, 52609, 51116, 64167, 51141, 51809, 50931, 51116, 51275, 51116, 52609, 51116, 50424, 51001, 51116, 51153, 51116, 52609, 51116, 55497, 51116, 50433, 50902, 51116, 51308, 51116, 52609, 51116, 64167, 51116, 50441, 51001, 51141, 58153, 64712, 51308, 51116, 51771, 51116, 50459, 67594, 51512, 51141, 60513, 51141, 51601, 51001, 77950, 67594, 50428, 50906, 51141, 51099, 51141, 58153, 56632, 58153, 50910, 50436, 64167, 51116, 50445, 51001, 51116, 51153, 51116, 52609, 51116, 55497, 51116, 50453, 50951, 51116, 51275, 51116, 52609, 51116, 60513, 51116, 60820, 51141, 58153, 51141, 50423, 51639, 51116, 52158, 51116, 50431, 51081, 50889, 58153, 51141, 50440, 51639, 50938, 52158, 60492, 72926, 50448, 51147, 51116, 51777, 51077, 52158, 51077, 58153, 51141, 50457, 50951, 51141, 52177, 55497, 69745, 71049, 51777, 51116, 52158, 51116, 55479, 51116, 50430, 50931, 65470, 50931, 51116, 51153, 51077, 52609, 51077, 57600, 51141, 50443, 51001, 51141, 50452, 58153, 51141, 50460, 71774, 51429, 50910, 52177, 72926, 51153, 50910, 50421, 50931, 51116, 51153, 51116, 52609, 51116, 64167, 51141, 50429, 51001, 51141, 51153, 51141, 52609, 68499, 58153, 51116, 50447, 77195, 51512, 51116, 52647, 51116, 55497, 51116, 50455, 50906, 50889, 58153, 51141, 51809, 51099, 51116, 52647, 51116, 62143, 50910, 50424, 51001, 50889, 58153, 51141, 50433, 51308, 51116, 51771, 51116, 50437, 72926, 50441, 50931, 51116, 51275, 51116, 52609, 51116, 57672, 64712, 50931, 51116, 51275, 51116, 52609, 51116, 50459, 51001, 51116, 51153, 51116, 52609, 51116, 55497, 51116, 53069, 50902, 51116, 51308, 51116, 52609, 51116, 57672, 51116, 50428, 51001, 51141, 58153, 51141, 50436, 51308, 51116, 51771, 51116, 50445, 67944, 51099, 50910, 57672, 51141, 50449, 67594, 51512, 79179, 67944, 51099, 62990, 50861, 50938, 51561, 50938, 57190, 50910, 73647, 55497, 51141, 50418, 67944, 51099, 68018, 50965, 50910, 73647, 50427, 66088, 51561, 50910, 50431, 50871, 72687, 50889, 57672, 65470, 54999, 50910, 50440, 55497, 70595, 67944, 50448, 67944, 51099, 50910, 58153, 51141, 50453, 50906, 51116, 51099, 51116, 50461, 50906, 50889, 72648, 52177, 57672, 51141, 56207, 50910, 51494, 62815, 67594, 51512, 65470, 50906, 51077, 51099, 51077, 58153, 51141, 50443, 52647, 69352, 52003, 50910, 50452, 53643, 51141, 57672, 51116, 50460, 67944, 51099, 50910, 58153, 51116, 52177, 67944, 51099, 50910, 50421, 67594, 51512, 51077, 52647, 51077, 64167, 51141, 50425, 51001, 51446, 50438, 58153, 51116, 50447, 67594, 51512, 51116, 52647, 51116, 64167, 51116, 50451, 72926, 50455, 50906, 51446, 58153, 51141, 51809, 51099, 51141, 52647, 51141, 50424, 58153, 51116, 50429, 67944, 50433, 72926, 51308, 51116, 51771, 51116, 57672, 51116, 50437, 69697, 50441, 50951, 51116, 51639, 51116, 52158, 51116, 58153, 64712, 50951, 51141, 51639, 51141, 52158, 51141, 50459, 57672, 51141, 53069, 69697, 51275, 68018, 71049, 51639, 50910, 50428, 51147, 50889, 58153, 51141, 50436, 51639, 51116, 52158, 51116, 50441, 71049, 50445, 50931, 50889, 57672, 51141, 50453, 51308, 51116, 51771, 51116, 50458, 51001, 50938, 55331, 50910, 51512, 51446, 51890, 51446, 55497, 51141, 50418, 50931, 51141, 50431, 57672, 51141, 50435, 71774, 51308, 50910, 50440, 50876, 50938, 51512, 60492, 67944, 51099, 50910, 50448, 50965, 51141, 51144, 51141, 55497, 79179, 55497, 78767, 57672, 51116, 52177, 51001, 51116, 51153, 51116, 52609, 51116, 55497, 69745, 50951, 51116, 51275, 51116, 52609, 51116, 57672, 51116, 50435, 51081, 51116, 58153, 51141, 50443, 69955, 51516, 51116, 52158, 51116, 50447, 51081, 50889, 50452, 58153, 51141, 50460, 71049, 51639, 50910, 52158, 50910, 52177, 71049, 50421, 51147, 51116, 51777, 51141, 52158, 51141, 58153, 51141, 76133, 69705, 50931, 51116, 51777, 51141, 51771, 51141, 55497, 51116, 50447, 51001, 51116, 55479, 51116, 50455, 57600, 51141, 51809, 51001, 50938, 51153, 50938, 52609, 61555, 72926, 51153, 50910, 52609, 50910, 50424, 50902, 50889, 52158, 51116, 64167, 51141, 50433, 51429, 51116, 50437, 72926, 50441, 50931, 51116, 51153, 51141, 52609, 51141, 57600, 64712, 51001, 51116, 50459, 50902, 51116, 51308, 51116, 51890, 51116, 55479, 51116, 53069, 67594, 51512, 51116, 52647, 51116, 55497, 77950, 67594, 50428, 50906, 50889, 58153, 51141, 50436, 51099, 51116, 52647, 51116, 50441, 67944, 50445 ]
[ 0, 713, 33928, 5175, 2214, 11, 163, 428, 3694, 1575, 10, 23338, 33518, 1264, 816, 5, 33301, 6, 7513, 30, 21979, 8669, 6, 3459, 9590, 6, 21072, 6, 8, 10, 20535, 2810, 4, 590, 10, 86, 6543, 9, 132, 73, 306, 8, 41, 12447, 1001, 20889, 9, 13950, 741, 1685, 6, 5, 2125, 11498, 10, 20902, 2877, 1328, 4, 20, 46336, 3184, 29769, 198, 5, 5705, 16331, 33215, 16739, 9, 274, 73, 347, 8, 163, 43531, 6, 2351, 10, 3366, 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 ]	[ 51057, 50632, 51057, 50903, 50836, 51768, 50812, 51057, 50903, 50836, 51768, 50836, 51057, 53602, 56949, 55344, 54853, 59240, 50816, 55180, 50816, 55150, 55946, 53602, 51124, 50816, 66927, 56136, 50840, 51694, 56530, 57050, 50816, 66649, 54334, 54577, 50917, 51068, 55459, 57549, 52793, 64677, 54606, 50816, 67195, 52079, 76944, 50839, 51057, 53602, 58162, 55364, 53099, 54023, 50607, 50381, 53967, 56675, 50910, 62999, 60689, 53104, 50607, 53223, 50816, 55150, 55946, 53602, 51110, 51068, 63658, 62073, 57772, 76944, 50820, 51694, 62468, 54853, 57050, 50816, 54215, 54577, 54792, 58534, 53963, 56000, 50816, 55692, 50840, 51057, 53602, 56949, 55344, 79732, 59991, 50816, 55180, 50816, 55150, 55946, 53602, 71270, 66927, 70393, 50840, 51694, 56530, 57050, 50816, 66649, 65957, 52818, 54577, 72819, 57549, 52793, 64677, 53908, 50816, 67195, 52079, 76944, 50841, 51057, 53602, 58162, 55364, 55473, 54023, 50607, 50381, 53967, 56675, 50938, 62999, 60689, 73763, 52761, 50816, 55150, 55946, 50816, 62073, 57772, 50840, 51694, 62468, 54853, 57050, 50816, 54215, 50816, 58534, 58515, 56000, 50816, 55692, 50840, 61245, 61718, 76825, 66137, 55081, 50816, 50890, 51190, 51985, 50383, 54502, 50840, 51694, 51156, 76825, 50383, 52439, 56338, 50816, 50836, 51230, 53183, 77266, 55782, 50816, 50880, 51715, 51985, 50383, 52439, 50840, 51057, 61718, 50378, 53183, 66137, 58093, 50816, 50840, 51715, 53183, 50380, 54502, 55081, 70683, 51718, 53183, 50383, 54502, 50840, 51694, 51156, 76825, 66137, 56338, 50816, 51421, 63930, 77266, 55782, 70683, 51718, 53183, 50957, 50596, 50840, 51057, 61718, 50378, 53183, 66137, 54275, 52970, 50859, 52099, 50859, 52608, 52296, 51906, 50887, 52366, 50887, 52436, 54056, 51906, 50884, 52366, 50887, 52436, 52209, 51906, 50887, 52366, 50887, 52436, 50809, 51057, 51096, 51160, 51906, 50859, 52366, 50859, 71229, 53602, 50878, 51037, 59709, 62121, 60035, 56411, 50879, 51206, 56128, 50948, 51070, 65926, 52489, 50887, 52747, 50887, 52656, 57503, 53405, 50872, 64357, 77357, 57488, 53745, 50608, 60387, 50864, 69971, 50927, 51160, 53602, 51203, 50872, 64357, 77357, 57802, 50383, 56497, 50840, 51715, 51398, 52872, 52489, 50887, 52747, 50887, 52656, 73736, 63430, 63553, 61320, 56411, 57321, 51156, 61960, 57233, 68762, 52489, 50887, 52747, 50887, 52656, 57503, 55286, 50945, 51685, 54577, 50866, 50872, 64558, 77357, 52180, 50608, 55064, 61103, 50940, 51070, 55643, 50872, 56808, 77357, 52180, 50608, 60387, 50971, 51057, 53602, 50866, 51037, 59709, 62121, 52589, 70888, 50897, 51170, 57233, 76705, 52719, 50887, 51648, 50887, 51978, 57503, 53405, 50872, 64558, 77357, 57488, 51276, 50608, 60387, 50864, 69971, 52310, 50887, 53170, 50887, 53319, 50809, 53602, 51043, 50872, 64357, 77357, 52180, 50608, 50840, 51715, 51657, 57462, 52872, 51037, 63430, 62121, 52589, 79871, 57193, 50910, 51170, 57462, 57328, 57050, 52310, 50884, 53170, 50884, 53319, 53589, 53544, 55286, 52310, 50887, 53170, 50887, 53319, 50809, 54577, 55808, 64558, 77357, 52180, 50608, 55064, 61103, 55237, 55643, 50872, 64357, 77357, 52180, 50608, 60387, 50971, 51057, 51105, 50980, 52310, 50859, 53170, 50859, 53319, 50800, 53602, 50878, 51506, 50821, 51037, 68413, 60035, 59083, 50879, 51170, 70136, 65926, 51906, 50887, 52366, 50887, 52436, 57503, 53405, 50944, 64558, 50821, 51298, 57488, 78413, 60387, 54220, 56133, 51213, 50980, 53602, 51043, 50944, 64558, 50821, 51298, 57802, 50384, 56497, 50840, 51715, 51398, 52872, 51906, 50887, 52366, 50887, 52436, 50809, 51506, 50821, 51037, 68413, 60035, 57277, 57321, 51156, 61960, 57233, 68762, 51906, 50859, 52366, 50859, 52436, 57503, 55286, 51186, 51685, 54577, 73906, 64558, 50821, 51298, 52180, 50608, 55064, 61103, 50940, 51070, 55643, 50944, 64357, 50821, 51298, 53745, 50608, 60387, 50971, 51057, 53602, 50866, 51506, 50821, 51037, 71084, 52589, 70888, 50910, 51170, 50940, 51070, 76705, 52970, 50887, 52099, 50887, 52608, 57503, 53405, 50944, 64558, 50821, 51298, 57488, 50383, 56497, 60387, 54220, 56133, 51906, 50887, 52366, 50887, 52436, 60590, 64558, 50821, 51298, 53745, 50608, 50840, 51715, 51657, 57503, 52872, 51506, 50821, 51037, 68413, 52589, 57321, 51156, 68047, 50910, 51070, 68762, 51906, 50884, 52366, 50884, 52436, 53589, 57462, 55286, 51906, 50887, 52366, 50887, 52436, 60590, 64558, 50821, 51298, 52180, 50608, 55064, 61103, 57462, 55643, 50944, 64558, 50821, 51298, 58931, 52476, 50608, 60387, 50971, 51057, 51096, 51160, 51906, 50859, 52366, 50859, 71229, 53602, 50878, 51037, 59709, 62121, 60035, 56411, 50879, 51206, 56128, 50948, 51070, 65926, 52489, 50887, 52747, 50887, 52656, 57503, 53405, 50872, 64357, 77357, 57488, 53745, 50608, 60387, 50864, 69971, 50927, 51160, 53602, 51203, 50872, 64357, 77357, 57802, 50383, 56497, 50840, 51715, 51398, 52872, 52489, 50887, 52747, 50887, 52656, 73736, 63430, 63553, 61320, 56411, 57321, 51156, 61960, 57233, 68762, 52489, 50887, 52747, 50887, 52656, 57503, 55286, 50945, 51685, 54577, 50866, 50872, 64558, 77357, 52180, 50608, 55064, 61103, 50940, 51070, 55643, 50872, 56808, 77357, 52180, 50608, 60387, 50971, 51057, 53602, 50866, 51037, 59709, 62121, 52589, 70888, 50897, 51170, 57233, 76705, 52719, 50887, 51648, 50887, 51978, 57503, 53405, 50872, 64558, 77357, 57488, 51276, 50608, 60387, 50864, 69971, 51906, 50887, 52366, 50887, 53319, 50809, 53602, 51043, 50872, 64357, 77357, 52180, 50608, 50840, 51715, 51657, 57462, 52872, 51037, 63430, 62121, 52589, 79871, 57193, 50910, 51170, 57462, 57328, 57050, 51906, 50884, 52366, 50884, 53319, 53589, 53544, 55286, 52489, 50887, 52747, 50887, 53319, 50809, 54577, 55808, 64558, 77357, 52180, 50608, 55064, 61103, 55237, 55643, 50872, 64357, 77357, 52180, 50608, 60387, 50971, 51057, 51105, 50980, 52310, 50859, 53170, 50859, 53319, 50800, 53602, 50878, 51506, 50821, 51037, 68413, 60035, 59083, 50879, 51170, 70136, 65926, 51906, 50887, 52366, 50887, 52436, 57503, 53405, 50944, 64558, 50821, 51298, 57488, 78413, 60387, 54220, 56133, 51213, 50980, 53602, 51043, 50944, 64558, 50821, 51298, 57802, 50384, 56497, 50840, 51715, 51398, 52872, 51906, 50887, 52366, 50887, 52436, 50809, 51506, 50821, 51037, 68413, 60035, 57277, 57321, 51156, 61960, 57233, 68762, 51906, 50859, 52366, 50859, 52436, 57503, 55286, 51186, 51685, 54577, 73906, 64558, 50821, 51298, 52180, 50608, 55064, 61103, 50940, 51070, 55643, 50944, 64357, 50821, 51298, 53745, 50608, 60387, 50971, 51057, 53602, 50866, 51506, 50821, 51037, 71084, 52589, 70888, 50910, 51170, 50940, 51070, 76705, 52970, 50887, 52099, 50887, 52608, 57503, 53405, 50944, 64558, 50821, 51298, 57488, 50383, 56497, 60387, 54220, 56133, 51906, 50887, 52366, 50887, 52436, 60590, 64558, 50821, 51298, 53745, 50608, 50840, 51715, 51657, 57503, 52872, 51506, 50821, 51037, 68413, 52589, 57321, 51156, 68047, 50910, 51070, 68762, 51906, 50884, 52366, 50884, 52436, 53589, 57462, 55286, 51906, 50887, 52366, 50887, 52436, 60590, 64558, 50821, 51298, 52180, 50608, 55064, 61103, 57462, 55643, 50944, 64558, 50821, 51298, 58931, 52476, 50608, 60387, 50971, 51057, 51096, 51160, 51906, 50859, 52366, 50859, 71229, 53602, 50878, 51037, 59709, 62121, 60035, 56411, 50879, 51206, 56128, 50948, 51070, 65926, 52489, 50887, 52747, 50887, 52656, 57503, 53405, 50872, 64357 ]
[ 0, 250, 2635, 12, 20764, 3152, 2214, 19, 5175, 4785, 6, 4246, 21979, 8, 30587, 29589, 6, 3459, 9590, 6, 486, 118, 9877, 483, 6, 8, 21072, 4, 20, 2125, 16, 11, 230, 538, 8, 204, 73, 306, 86, 6, 19, 10, 33215, 16739, 9, 211, 6, 272, 6, 230, 6, 211, 6, 8, 272, 4, 20, 1349, 7630, 6568, 10, 11739, 9, 15352, 30054, 6, 5679, 26709, 6, 8, 2933, 6711, 29, 6, 19, 17878, 9, 9066, 8, 1372, 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 ]	[ 57128, 50885, 65376, 67381, 72803, 63456, 57783, 57373, 60392, 50909, 50813, 50988, 53910, 50885, 57373, 65145, 50909, 50813, 50988, 52524, 50885, 65376, 50849, 52869, 56919, 72803, 63456, 50429, 52869, 51628, 50885, 57373, 50810, 52869, 57659, 50909, 50813, 50988, 54350, 50885, 57373, 50810, 52869, 58480, 50909, 50813, 50988, 52781, 50885, 65376, 50849, 52869, 61298, 72803, 63456, 58463, 57373, 60073, 50909, 50813, 50988, 54417, 50885, 57373, 62924, 50909, 50813, 50988, 52800, 50885, 65376, 50849, 53048, 60720, 72803, 50909, 57431, 50885, 55077, 50845, 53698, 61393, 60395, 50988, 61219, 50885, 55077, 50845, 50460, 60395, 66738, 59008, 60884, 67381, 67759, 50872, 61195, 51164, 70879, 60392, 50885, 58929, 53910, 51164, 70879, 65145, 50885, 58929, 52524, 51164, 60884, 50849, 53428, 56919, 67759, 50872, 69353, 52869, 51628, 51164, 70879, 50810, 53428, 57659, 50885, 58929, 54350, 51164, 70879, 50810, 52869, 58480, 50885, 58929, 52781, 50946, 50849, 53428, 61298, 67759, 50872, 59187, 50946, 60073, 50885, 58929, 54417, 50946, 62924, 50885, 58929, 52800, 50946, 50849, 53050, 60720, 67759, 50872, 57431, 50946, 50810, 53428, 61393, 50885, 58929, 54655, 50946, 63849, 50885, 58929, 50813, 57746, 56611, 67381, 58966, 50935, 61195, 50988, 55582, 60392, 50847, 58975, 53910, 50988, 55582, 65145, 50847, 58975, 52524, 50988, 56611, 50849, 52869, 56919, 58966, 68352, 50429, 52869, 51628, 50988, 55582, 50810, 52869, 57659, 50847, 58975, 54350, 50988, 55582, 50810, 52869, 58480, 50847, 58975, 52781, 50988, 56611, 50849, 52869, 55900, 58966, 68352, 50441, 52869, 51820, 50988, 55582, 50810, 52869, 59070, 50847, 58975, 54417, 50988, 55582, 50810, 52869, 60972, 50847, 58975, 52800, 50988, 56611, 50849, 53428, 57465, 58966, 68352, 50453, 52869, 51754, 50988, 55582, 50810, 52869, 61393, 50847, 58975, 54655, 50988, 55582, 63849, 50847, 58975, 50813, 59560, 65376, 50849, 52869, 62192, 72803, 63456, 57783, 57373, 50810, 53698, 50807, 50421, 50909, 50813, 50988, 53910, 50885, 57373, 65145, 50909, 50813, 50988, 52524, 50885, 65376, 69012, 72803, 50909, 56504, 50885, 57373, 58645, 50909, 50813, 50988, 54350, 50885, 57373, 62903, 50909, 50813, 50988, 52781, 69089, 50848, 56001, 51021, 51206, 51014, 51720, 50818, 52018, 50807, 62460, 51075, 61298, 68272, 50935, 75355, 69089, 50848, 56001, 50923, 51206, 51021, 51720, 50818, 52018, 50807, 62460, 61900, 50451, 68272, 50935, 51159, 57746, 57680, 50807, 52055, 52054, 50962, 51133, 50983, 51386, 51605, 51063, 51605, 50415, 79493, 50909, 51048, 52399, 58861, 52869, 52422, 50885, 51203, 50988, 51203, 52869, 52997, 57228, 75241, 67477, 71980, 50429, 52869, 52686, 52869, 55307, 58952, 50988, 57708, 50810, 52869, 52589, 50962, 51133, 59079, 50868, 57511, 52781, 50988, 56566, 50845, 52869, 50896, 64214, 50845, 51133, 55900, 70987, 50909, 55040, 50988, 56566, 50845, 64214, 50845, 58531, 50445, 70987, 50909, 54356, 50988, 56566, 50845, 53048, 52420, 57228, 50845, 51271, 60720, 70987, 50909, 54752, 50988, 56566, 50845, 53698, 50806, 73791, 50845, 51817, 50795, 62948, 50457, 70987, 60395, 57377, 57680, 50807, 64214, 50845, 51720, 50983, 51222, 51605, 51143, 51605, 76750, 51048, 52399, 58861, 53428, 52422, 50946, 51203, 50885, 51203, 53428, 52997, 62864, 75241, 79933, 50429, 52869, 52686, 53428, 55307, 58952, 50946, 57708, 50810, 52869, 52589, 50949, 51720, 59079, 50872, 52781, 50946, 56566, 50845, 53428, 50896, 64214, 50845, 51720, 55900, 50872, 55040, 50946, 56566, 50845, 73791, 50845, 51720, 50807, 50445, 50872, 54356, 50946, 56566, 50845, 53050, 52420, 57228, 71474, 50872, 54752, 50946, 56566, 50845, 53428, 50806, 73791, 50845, 52018, 50800, 62998, 50457, 50872, 61219, 52657, 50800, 57746, 56378, 50807, 64214, 50813, 52018, 50983, 51063, 51605, 51075, 51605, 65751, 51048, 50935, 51048, 52399, 58861, 52869, 52422, 76323, 50988, 51203, 52869, 52997, 57228, 50845, 65530, 51043, 50935, 51043, 50429, 52869, 52686, 52869, 55307, 58952, 50988, 55582, 50810, 52869, 52090, 50962, 52018, 59079, 50847, 58975, 52781, 67241, 50845, 64214, 50845, 52018, 55900, 57420, 50935, 60844, 52869, 53247, 67241, 50845, 52869, 52589, 57228, 50845, 52018, 59070, 57420, 50935, 59957, 52869, 53153, 67241, 50845, 53428, 52997, 57228, 71474, 57420, 63833, 50453, 52869, 52935, 67241, 50845, 52869, 50806, 73791, 50845, 52018, 50795, 61016, 50457, 57420, 63833, 57746, 57680, 50807, 52869, 50806, 64214, 50845, 51133, 50983, 51063, 51605, 51386, 71718, 79493, 50909, 72929, 53698, 55422, 53172, 50885, 51203, 50988, 68798, 62864, 75241, 67477, 71980, 58932, 58952, 50988, 57708, 53197, 50949, 51133, 59079, 50868, 57511, 52781, 50988, 56566, 50845, 64214, 50845, 77855, 51075, 55900, 70987, 60395, 50441, 51219, 51820, 50988, 56566, 50845, 73791, 50845, 77855, 54873, 50445, 70987, 50909, 54356, 50988, 56566, 50845, 53212, 51163, 50845, 77855, 62460, 50451, 70987, 60395, 50453, 51271, 50800, 51046, 51754, 50988, 56566, 50845, 73791, 50845, 58531, 54266, 50457, 70987, 60395, 57746, 57680, 50807, 52055, 52054, 50962, 51133, 50983, 51386, 51605, 51063, 51605, 50415, 79493, 50909, 51048, 52399, 58861, 52869, 52422, 50885, 51203, 50988, 51203, 52869, 52997, 57228, 75241, 67477, 71980, 50429, 52869, 52309, 50843, 58952, 50988, 57708, 50810, 52869, 52589, 50962, 51133, 59079, 50868, 57511, 52781, 50988, 56566, 50845, 52869, 50806, 64214, 50845, 51133, 55900, 70987, 50909, 55040, 50988, 56566, 50845, 52869, 52589, 57228, 50845, 58531, 50445, 70987, 50909, 59957, 53048, 67424, 50988, 56566, 50845, 53212, 51163, 50845, 51271, 60720, 70987, 50909, 54752, 50988, 56566, 50845, 53698, 50806, 73791, 50845, 51817, 50795, 62948, 50457, 70987, 60395, 57377, 57680, 50807, 64214, 50845, 51720, 50983, 51222, 51605, 51143, 51605, 76750, 51048, 50417, 53428, 53113, 53428, 55307, 58861, 52869, 52422, 50946, 51203, 50885, 51203, 53428, 52997, 62864, 75241, 79933, 50429, 52869, 52686, 53428, 55307, 58952, 50946, 57708, 50810, 52869, 52589, 50949, 51720, 59079, 50872, 52781, 50946, 56566, 50845, 53428, 52589, 57228, 50845, 51720, 55900, 50872, 60844, 53428, 53247, 50946, 56566, 50845, 53428, 52589, 56175, 50845, 51720, 50807, 50445, 50872, 59957, 53050, 67424, 50946, 56566, 50845, 53212, 51163, 71474, 50872, 54752, 50946, 56566, 50845, 53428, 50806, 73791, 50845, 52018, 50800, 62998, 50457, 50872, 61219, 52657, 50800, 57746, 56378, 50807, 64214, 50813, 52018, 50983, 51063, 51605, 51075, 51605, 65751, 51048, 50935, 72929, 52869, 55307, 58861, 52869, 52422, 76323, 50988, 51203, 52869, 52420, 57228, 50845, 65530, 51043, 50935, 64669, 52869, 55307, 58952, 50988, 55582, 50810, 52869, 52589, 50962, 52018, 59079, 50847, 58975, 52781, 67241, 50845, 52869, 52589, 57228, 50845, 52018, 55900, 57420, 50935, 60844, 52869, 53247, 67241, 50845, 52869, 50806, 64214, 50845, 52018, 59070, 57420, 50935, 54356, 67241, 50845, 53428, 52420, 57228, 71474, 57420, 50935, 54752, 67241, 50845, 52869, 52589, 56175, 50845, 52018, 50795, 61016, 50457, 57420, 50935, 61219, 52869, 51160, 57746, 57680, 50807, 64214, 50845, 51133, 50983, 51063, 51605, 51386, 71718, 79493, 50909, 72929, 53698, 55422, 53172, 50885, 51203, 50988, 68798, 62864, 75241, 67477, 71980, 58932, 58952, 50988, 57708, 53197, 50949, 51133, 59079, 50868, 57511 ]
[ 0, 250, 251, 15855, 2125, 14, 115, 28, 341, 25, 10, 19834, 6, 4246, 10, 13305, 7513, 30, 10, 6755, 12547, 9, 21711, 1344, 6, 21711, 281, 6, 8, 3551, 366, 4, 20, 15229, 16, 278, 11, 5, 762, 9, 2060, 538, 19, 10, 2635, 20889, 9, 1812, 13410, 228, 2289, 8, 41, 18186, 112, 73, 306, 86, 6543, 4, 20, 6711, 7630, 6568, 10, 25306, 6, 2933, 6, 8, 9066, 5466, 19, 41, 7482, 3722, 8, 19448, 6328, 4, 20, 46336, 3184, 29769, 198, 5, 33215, 16739, 9, 2060, 6, 163, 428, 406, 6, 8, 12608, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52552, 50625, 52274, 52274, 52274, 52552, 50965, 50914, 57497, 51101, 50931, 57519, 51176, 51101, 61104, 51101, 50876, 56217, 50871, 53913, 51050, 51101, 51001, 69279, 51176, 65295, 51040, 62034, 50965, 66289, 51100, 59130, 51101, 50876, 50914, 56363, 51101, 56040, 51101, 50906, 56217, 50989, 53913, 51197, 51101, 51114, 51189, 66626, 51101, 62291, 62034, 50989, 61913, 50849, 58439, 51101, 50931, 57519, 51176, 51101, 53523, 51101, 51001, 56217, 50989, 53913, 51503, 51101, 51028, 56157, 51176, 51101, 55895, 51101, 51001, 58705, 50989, 50892, 57497, 51101, 50931, 51486, 66650, 51101, 61104, 51177, 58783, 74387, 50965, 51177, 57428, 64860, 51040, 51121, 51147, 63505, 51176, 50901, 57497, 51121, 51339, 53561, 51176, 51121, 61104, 51121, 51062, 53182, 50871, 55306, 51050, 51100, 51405, 51364, 50444, 51176, 63589, 51040, 61327, 50965, 51458, 50329, 51158, 59130, 51100, 51062, 53561, 50997, 51100, 56040, 51100, 51081, 64919, 50989, 55306, 51026, 51121, 51062, 50983, 51028, 51685, 66626, 64860, 51040, 62174, 51081, 66291, 50901, 54578, 59688, 51936, 50300, 51121, 51040, 51121, 69980, 56645, 51631, 50871, 63681, 54729, 50906, 61907, 51646, 50965, 52297, 50321, 51364, 51503, 51336, 50441, 50624, 50444, 51176, 51060, 50445, 50624, 50448, 50623, 56222, 75050, 51060, 50451, 50622, 50455, 50622, 72407, 52014, 50310, 57367, 59831, 50621, 50461, 50621, 51034, 51040, 51242, 74436, 51360, 51662, 51028, 51662, 50419, 50620, 64401, 51242, 50965, 51242, 50424, 50620, 56759, 51242, 76684, 50429, 50620, 74769, 51242, 50989, 51242, 50434, 50619, 50438, 51176, 64307, 51097, 50439, 50619, 50444, 50619, 50449, 50619, 52552, 50625, 57147, 50807, 78857, 52297, 50293, 50981, 55961, 65785, 53250, 51048, 50965, 68766, 51028, 60465, 53777, 51364, 51050, 59791, 51040, 68465, 50965, 66913, 55343, 72655, 51058, 79705, 52297, 50298, 60115, 50989, 65785, 54414, 72999, 68766, 51001, 60465, 55602, 51364, 51197, 59791, 50989, 51242, 65851, 66913, 53407, 73027, 51058, 78857, 52297, 50300, 60115, 50989, 65785, 53777, 51048, 50965, 51242, 59409, 60465, 55343, 51364, 51503, 59791, 50989, 68465, 50965, 66913, 53777, 61816, 51058, 78857, 51161, 51360, 51939, 55961, 51212, 62144, 68181, 51028, 68535, 50931, 67367, 51028, 65295, 57147, 51048, 50965, 68464, 50871, 51058, 78857, 52297, 50293, 50981, 55961, 65785, 53250, 51048, 50965, 68766, 51028, 60465, 53777, 51364, 51050, 59791, 51040, 68465, 50965, 66913, 55343, 72655, 51058, 79705, 52297, 50298, 60115, 50989, 65785, 54414, 72999, 68766, 51001, 60465, 56853, 51364, 51197, 59791, 50989, 51242, 65851, 66913, 55602, 73027, 51058, 78857, 52297, 50300, 50981, 55961, 65785, 57147, 51048, 50965, 68766, 51028, 60465, 50624, 53407, 51364, 51503, 59791, 50989, 68465, 50624, 50965, 66913, 53777, 54666, 51058, 57528, 55343, 51896, 51360, 51742, 55961, 65785, 50622, 50965, 68766, 50931, 51058, 50437, 50622, 57019, 71277, 74299, 50621, 50450, 53407, 50807, 50461, 50625, 78857, 51364, 51197, 50981, 58097, 65785, 51028, 58399, 66013, 53777, 58509, 60465, 53777, 51073, 51197, 59791, 50956, 68465, 55343, 51048, 51028, 58399, 66983, 50956, 51058, 79705, 51364, 51176, 50981, 58097, 51242, 56546, 65479, 66013, 55343, 58509, 60465, 53777, 65815, 59242, 50956, 68465, 56853, 51048, 51001, 65479, 66983, 50956, 51058, 50799, 56853, 52297, 50302, 50981, 58097, 65785, 53863, 51048, 51028, 58399, 51277, 64551, 60465, 53407, 51073, 51197, 59791, 50956, 68465, 53863, 51048, 51028, 58399, 66983, 50956, 51058, 50799, 56853, 51161, 51176, 50995, 58097, 51242, 62144, 51242, 59409, 60465, 51176, 59791, 50989, 67426, 55602, 51048, 50965, 68464, 50876, 50978, 78857, 52297, 50293, 50981, 55961, 65785, 53250, 51048, 50965, 68766, 51028, 60465, 53777, 51364, 51050, 59791, 51040, 68465, 50965, 66913, 55343, 72655, 51058, 79705, 52297, 50298, 60115, 50989, 65785, 54414, 72999, 68766, 51001, 60465, 55602, 51364, 51197, 59791, 50989, 51242, 65851, 66913, 53407, 73027, 51058, 78857, 52297, 50300, 60115, 50989, 65785, 53777, 51048, 50965, 51242, 59409, 60465, 55343, 51073, 51503, 59791, 50989, 68465, 53777, 51048, 50965, 66913, 50876, 51058, 78857, 51161, 51360, 51677, 55961, 51242, 62144, 68181, 51028, 68535, 50931, 67367, 51028, 64860, 53407, 51048, 50965, 61327, 50871, 50917, 50799, 56418, 52530, 50290, 66403, 50965, 64002, 56853, 66562, 61120, 50931, 57581, 55602, 73569, 62682, 50965, 60866, 53407, 66562, 59562, 50902, 50938, 50799, 56853, 52530, 50295, 66403, 50989, 64002, 55602, 66562, 61120, 51001, 57581, 53407, 51364, 51378, 62682, 50989, 51060, 60027, 59562, 53777, 69712, 50938, 50799, 55343, 52297, 50300, 50981, 55961, 65785, 57147, 51048, 50965, 68766, 51028, 51058, 50436, 50624, 50438, 53407, 51364, 51503, 59791, 50989, 51242, 50446, 50624, 50450, 50965, 66913, 53777, 54666, 51058, 50457, 50623, 51034, 55343, 51161, 51360, 51662, 50419, 50622, 55961, 51242, 62144, 51242, 50429, 50622, 77431, 51058, 57019, 52019, 50317, 75408, 50621, 50449, 50625, 52552, 53407, 50807, 52185, 51016, 53580, 51016, 58881, 51016, 78857, 51364, 51652, 51274, 53580, 51274, 56469, 51274, 52046, 52019, 50295, 50981, 58097, 65785, 51028, 58399, 66013, 53407, 50795, 51652, 50893, 53580, 50893, 56469, 78171, 60465, 53777, 51073, 51652, 51055, 53628, 51055, 56469, 51055, 52046, 51517, 50295, 56306, 50956, 68465, 55343, 51048, 51652, 51290, 52608, 51290, 56469, 51290, 51028, 58399, 66983, 50956, 51058, 79705, 51364, 52185, 51274, 52608, 51274, 56381, 51274, 51503, 51939, 51176, 51692, 58097, 51242, 56546, 65479, 66013, 55343, 50795, 51721, 50893, 52608, 50893, 56381, 67782, 53130, 50317, 60676, 53777, 51073, 51643, 51055, 52608, 51055, 56381, 51055, 51001, 58007, 51277, 61614, 68465, 56853, 51048, 51643, 51290, 52608, 51290, 56381, 51290, 50876, 65479, 66983, 50956, 51058, 50799, 56853, 51016, 52226, 51054, 52608, 51054, 55329, 53531, 50290, 65757, 55419, 50956, 64002, 53863, 51073, 52226, 51566, 52608, 51566, 55329, 51566, 51028, 59408, 62109, 50956, 57581, 53407, 51073, 52226, 51566, 52608, 51566, 56469, 51566, 52046, 51608, 50295, 51016, 61614, 60866, 53863, 51073, 52226, 51566, 52608, 51566, 56469, 51566, 51028, 59408, 61327, 50956, 50938, 50799, 56853, 51933, 51643, 51585, 52608, 51585, 56381, 51585, 51503, 51800, 50300, 51016, 58097, 51060, 62144, 51158, 59409, 57581, 51503, 51608, 50300, 62682, 50989, 65458, 56853, 51073, 51643, 51500, 52891, 51500, 56381, 51500, 50965, 64713, 50876, 50865, 50799, 56418, 51016, 52226, 51054, 51978, 51054, 58881, 53531, 50293, 51121, 51028, 79971, 51016, 66650, 63559, 56853, 51073, 52226, 51566, 51978, 51566, 58881, 51566, 51040, 51121, 51028, 51800, 50324, 51016, 58783, 55306, 53407, 51073, 52226, 51566, 52656, 51566, 58881, 51566, 51360, 51121, 50965, 65208, 61726, 51176, 64860, 55343, 51073, 52185, 51566, 51978, 51566, 58881, 51566, 51040, 51121, 50965, 75127, 63505, 50871, 50901, 79705, 51016, 52185, 51054, 53580, 51054, 61092, 53531, 50298, 51121, 50876, 52530, 50312, 50914, 56363, 63559, 54414, 51073, 52522, 51566, 53580, 51566, 61092, 51566, 50956, 51121, 50906, 55112, 50989, 55306, 56853, 51364, 51721, 51496, 52608, 51496, 56469, 51496, 51197, 51121, 51147, 51343, 50906, 69279, 51378, 51121, 64057, 62174, 55602, 50924, 51667, 50936, 52608, 50936 ]
[ 0, 250, 20902, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 42, 2125, 22750, 1626, 11098, 8, 10563, 6, 1969, 13, 5, 1619, 191, 50, 2365, 1061, 4, 20, 13305, 8, 2342, 4467, 483, 5, 33301, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 6, 3459, 9590, 6, 8, 6755, 12547, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 23667, 20889, 9, 19446, 13410, 228, 2289, 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 ]	[ 54458, 50796, 52563, 50824, 51088, 52121, 51357, 52121, 51251, 52121, 52978, 50886, 52837, 50886, 55134, 55234, 51805, 50374, 52526, 52062, 50420, 52978, 50886, 52837, 50886, 55134, 55316, 50971, 51510, 50941, 51768, 51331, 53998, 62313, 55134, 50886, 52978, 50886, 52837, 55234, 51052, 53945, 50953, 57759, 50860, 79025, 52978, 50886, 52837, 50886, 55134, 50886, 53884, 50450, 51271, 50824, 52837, 50886, 52978, 50886, 55134, 55924, 50975, 52470, 50456, 52978, 50886, 52837, 50886, 55134, 50886, 52470, 52563, 50824, 52978, 50886, 52837, 50886, 55134, 55234, 51805, 55772, 55134, 50886, 52978, 50886, 52837, 50886, 51970, 51510, 50864, 51768, 50860, 52470, 50432, 62313, 52837, 50886, 55134, 50886, 52978, 55234, 51052, 53269, 50953, 52299, 51805, 52875, 52978, 50886, 52837, 50886, 55134, 50886, 51248, 58290, 54185, 50847, 51388, 51271, 51072, 52978, 50886, 52837, 50886, 55134, 55924, 50975, 51287, 53120, 54481, 50850, 51286, 51289, 55638, 50941, 74776, 52369, 71877, 52978, 50886, 52837, 50886, 55134, 55234, 50823, 51248, 52526, 75856, 52978, 50886, 52837, 50886, 55134, 50886, 53861, 51510, 50864, 51768, 50860, 52470, 50432, 65812, 52978, 50886, 52837, 50835, 55134, 55234, 51052, 53980, 50953, 52299, 51805, 55368, 52978, 50886, 52837, 50886, 55134, 50886, 68372, 51271, 50824, 55134, 50886, 52978, 50886, 52837, 55924, 50975, 52470, 50451, 50847, 59436, 53017, 50850, 51286, 52978, 50886, 52837, 50886, 55134, 50886, 52470, 74776, 51653, 71877, 52978, 50886, 52837, 50886, 55134, 55234, 51052, 55394, 52978, 50886, 52837, 50886, 55134, 50886, 52470, 51510, 64942, 50935, 50858, 51768, 51805, 52818, 50935, 51735, 65812, 55134, 50886, 52978, 50886, 52837, 55234, 51052, 53945, 50953, 52299, 52715, 54758, 50935, 51603, 52978, 50886, 52837, 50886, 55134, 55316, 54105, 51271, 53694, 50976, 52470, 50456, 50935, 50940, 52978, 50886, 52837, 50886, 55134, 50886, 53884, 74776, 51427, 71877, 52978, 50886, 52837, 50886, 55134, 55234, 51805, 53023, 52978, 50886, 52837, 50886, 55134, 50886, 51842, 51510, 54317, 50935, 67344, 51331, 53031, 50935, 51745, 62313, 52978, 50886, 55134, 50886, 52837, 55234, 51052, 52788, 50953, 52299, 50823, 64864, 52978, 50886, 52837, 50886, 55134, 50886, 53884, 50450, 50935, 51286, 51271, 60406, 50975, 63012, 50909, 50940, 52978, 50886, 52837, 50886, 55134, 50886, 52470, 50461, 51491, 52121, 51113, 52121, 74776, 51072, 77199, 52978, 50886, 54816, 50886, 54116, 55234, 51805, 54202, 52978, 50886, 54816, 50886, 54116, 50886, 51960, 51510, 60417, 50850, 50882, 51768, 52715, 54860, 50850, 51407, 60264, 52978, 50886, 54816, 50886, 54116, 55136, 51805, 50864, 53758, 52299, 51805, 52875, 52978, 50886, 54816, 50886, 54116, 50886, 53884, 50450, 51011, 51072, 52978, 50886, 54816, 50886, 54116, 55924, 50975, 52470, 51453, 50864, 52288, 50824, 52978, 50886, 54816, 50886, 54116, 55234, 51052, 54202, 54816, 50886, 52978, 50886, 54116, 50886, 51960, 51510, 50864, 51768, 50860, 60945, 60264, 54816, 50886, 54116, 50886, 52978, 55234, 51052, 50886, 53758, 52299, 51052, 54394, 52978, 50886, 54816, 50886, 54116, 50886, 53884, 50450, 50850, 51505, 70049, 52978, 50886, 54816, 50886, 54116, 55924, 55188, 55370, 50935, 51012, 52978, 50886, 54816, 50886, 54116, 57323, 50864, 75696, 53174, 62644, 52978, 50886, 54816, 50886, 54116, 55234, 51805, 55772, 52978, 50886, 54816, 50886, 54116, 50886, 53884, 51510, 50864, 51768, 51331, 53998, 64386, 52978, 50886, 54816, 50886, 54116, 55234, 51052, 50941, 53758, 51072, 53005, 54394, 52978, 50886, 54816, 50886, 54116, 50886, 76288, 50909, 51030, 51011, 61512, 51331, 55293, 50909, 51030, 52978, 50886, 54816, 50886, 54116, 50886, 53884, 52288, 50824, 52978, 50886, 54816, 50886, 54116, 55234, 51052, 57392, 50909, 51427, 50420, 52978, 50886, 54816, 50886, 54116, 50886, 51970, 51510, 54317, 50909, 50936, 50903, 50860, 70767, 50909, 51566, 60264, 52978, 50886, 54116, 50886, 54816, 55234, 51052, 50904, 53758, 52299, 51805, 54394, 50909, 51500, 52978, 50886, 54816, 50886, 54116, 50886, 53884, 50450, 51011, 61037, 50976, 53861, 50456, 50909, 51033, 52978, 50886, 54816, 50886, 54116, 50886, 53861, 52288, 50824, 52978, 50886, 54816, 50886, 54116, 55234, 50823, 51468, 60043, 51573, 50420, 52978, 50886, 54816, 50886, 54116, 55316, 50971, 51510, 50904, 51768, 52715, 54854, 50909, 51573, 60264, 54816, 50886, 52978, 50886, 54116, 55234, 51052, 52896, 50927, 51072, 58130, 55434, 52978, 50886, 54816, 50886, 54116, 50886, 53884, 50450, 51213, 61512, 50976, 52470, 73466, 61063, 51007, 50952, 52978, 50886, 54816, 50886, 54116, 57323, 60863, 51251, 52121, 51088, 52121, 51357, 52121, 52563, 51059, 52978, 50886, 52837, 50886, 55134, 55234, 51805, 50904, 60043, 51379, 50420, 52978, 50886, 52837, 50886, 55134, 50886, 53861, 50423, 77564, 53861, 51768, 52715, 54854, 50935, 52827, 62313, 52978, 50886, 52837, 50886, 55134, 55234, 51052, 54728, 69871, 58130, 54394, 52978, 50886, 52837, 50886, 55134, 50886, 53884, 50450, 51271, 50824, 52978, 50886, 52837, 50886, 55134, 55924, 51331, 50864, 51453, 50864, 52563, 51059, 52978, 50886, 52837, 50886, 55134, 55234, 51052, 53070, 55134, 50886, 52978, 50886, 52837, 50886, 51960, 51510, 50941, 51768, 51331, 54854, 50935, 50802, 57909, 52837, 50886, 55134, 50886, 52978, 55234, 51052, 54728, 50909, 51054, 51019, 51072, 58130, 54394, 52978, 50886, 52837, 50886, 55134, 50886, 51895, 54936, 53140, 51007, 51066, 50927, 51072, 52978, 50886, 52837, 50886, 55134, 55924, 51331, 50825, 51453, 50371, 53120, 65315, 51301, 52121, 51088, 52121, 51093, 52121, 50799, 51149, 52827, 70259, 54148, 50886, 52837, 50886, 54195, 55234, 51805, 54202, 54148, 50886, 52837, 50886, 54195, 50886, 51960, 51510, 50941, 51768, 51331, 54854, 57951, 54148, 50886, 52837, 50886, 54195, 55234, 51052, 54927, 50964, 58680, 50860, 79025, 51149, 51054, 54148, 50886, 52837, 50886, 54195, 50886, 76288, 71877, 52837, 50886, 54148, 50886, 54195, 55924, 51331, 54232, 51840, 50802, 54148, 50886, 52837, 50886, 54195, 50886, 53861, 50799, 51439, 51029, 70259, 54148, 50886, 52837, 50886, 54195, 55234, 51052, 53023, 54148, 50886, 52837, 50886, 54195, 55316, 50971, 51510, 50941, 51768, 51331, 54854, 51149, 50923, 57951, 52837, 50886, 54195, 50886, 54148, 55234, 51052, 63123, 51649, 51388, 56107, 57759, 51805, 54394, 51439, 50923, 54148, 50886, 52837, 50886, 54195, 50886, 68372, 51840, 62397, 50824, 54195, 50886, 54148, 50886, 52837, 55924, 50976, 52470, 50456, 51149, 51014, 54148, 50886, 52837, 50886, 54195, 57323, 58449, 51088, 52121, 51357, 52121, 51251, 52121, 50799, 51149, 62455, 51059, 52978, 50886, 52837, 50886, 55134, 55234, 51805, 55772, 52978, 50886, 52837, 50886, 55134, 55316, 50971, 51510, 50941, 51768, 52715, 50941, 50427, 51007, 52359, 62313, 52978, 50886, 52837, 50886, 55134, 55234, 51052, 65176, 51007, 51009, 55208, 52299, 51805, 54394, 52978, 50886, 52837, 50886, 55134, 50886, 71330, 51271, 53694, 51331, 55370, 52837, 50886, 52978, 50886, 55134, 50886, 52066, 52563, 50824, 52978, 50886, 52837, 50886, 55134, 55234, 51805, 54202, 52978, 50886, 52837, 50886, 55134, 50886, 53861, 51510, 50971, 51768, 52715, 54854, 62313, 52837, 50886, 55134, 50886, 52978, 55234, 51805, 54927, 69871, 58130, 54394, 52978, 50886, 52837, 50886, 55134, 55316, 55256, 51271 ]
[ 0, 250, 15352, 30054, 5175, 15229, 19, 15855, 16882, 6, 4246, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 13305, 6, 30062, 620, 7085, 12280, 642, 6, 8, 21072, 4, 8504, 11, 230, 3694, 19, 10, 231, 73, 398, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 10563, 4, 20, 33215, 16739, 9, 12608, 6, 163, 428, 6, 8, 230, 119, 406, 3639, 5581, 7, 5, 2125, 6, 442, 24, 10686, 13, 822, 50, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50625, 53075, 51047, 51476, 51047, 51303, 51047, 51651, 60610, 50625, 50450, 56139, 51047, 51476, 51047, 51687, 51047, 51231, 51047, 51540, 50625, 56397, 51151, 54872, 51151, 52102, 51151, 51303, 51151, 50438, 50625, 51540, 50625, 51887, 51336, 51299, 51336, 51154, 51336, 51375, 51336, 50450, 51699, 51336, 51299, 51336, 51426, 51336, 51088, 51336, 51540, 50625, 53599, 51655, 52316, 51655, 51794, 51655, 51154, 51655, 51540, 50625, 51752, 51043, 51887, 51215, 51154, 51336, 51375, 51336, 54720, 51047, 52133, 62479, 51606, 51043, 52316, 78590, 51606, 51043, 51426, 67702, 51606, 69023, 51215, 51154, 52392, 51375, 51336, 57166, 51047, 52133, 51047, 50462, 51565, 51043, 50474, 52251, 51043, 51540, 50625, 51565, 69023, 52392, 51154, 54454, 51375, 51336, 55430, 51047, 52133, 62479, 51606, 51043, 51299, 78590, 51606, 51043, 52316, 67702, 51606, 51047, 51887, 51215, 51154, 54454, 51165, 51336, 60515, 51047, 52133, 51047, 50462, 51154, 54300, 50474, 51088, 51215, 51540, 50625, 51752, 51043, 51887, 51215, 51154, 53002, 51375, 51336, 51093, 51336, 54720, 51047, 52133, 62479, 51606, 51043, 52316, 78590, 51606, 50878, 51299, 77683, 51606, 69204, 51154, 53002, 51154, 53002, 51375, 51336, 51093, 51336, 57166, 51047, 52133, 51047, 50462, 51565, 51043, 50474, 52251, 51043, 51540, 50625, 51827, 51043, 51088, 51472, 51375, 51215, 51375, 51896, 51093, 51215, 55430, 51047, 52133, 62479, 52251, 51043, 51088, 51896, 51201, 78590, 51565, 77129, 51933, 51182, 67702, 51606, 51047, 51154, 53002, 51088, 53002, 51375, 54454, 51629, 51215, 60515, 51047, 52133, 51047, 50462, 51201, 51215, 50474, 51182, 51215, 51540, 50625, 51752, 51043, 51887, 51215, 51154, 53002, 51375, 53002, 51394, 51294, 54720, 51047, 52133, 62479, 51606, 51043, 52316, 78590, 51606, 51043, 51299, 51215, 51394, 60835, 51304, 58710, 51606, 69023, 53002, 51629, 51215, 57166, 51047, 52133, 51047, 50462, 51673, 51043, 51182, 51215, 50474, 51673, 51043, 51201, 51215, 51540, 50625, 51673, 51043, 51887, 51215, 51154, 53002, 51375, 54454, 51629, 51655, 55430, 51047, 52133, 62479, 51606, 51043, 52316, 78590, 51606, 51043, 51299, 67702, 51606, 51134, 51154, 53002, 51154, 53002, 51375, 53002, 60515, 51047, 52133, 51047, 50474, 51565, 50878, 50480, 52251, 50878, 51540, 50625, 51565, 51043, 51251, 51655, 51154, 53002, 51375, 53002, 51093, 53002, 58366, 51714, 58366, 52919, 50426, 51606, 69397, 51606, 65029, 51606, 51043, 58366, 51717, 50462, 51565, 51043, 58366, 51717, 58366, 51717, 50474, 52251, 51043, 55793, 51043, 55793, 51717, 51540, 50625, 51606, 51151, 51794, 51655, 60515, 51151, 50474, 52133, 51043, 51540, 50625, 51752, 51043, 51887, 51215, 51154, 53002, 51375, 54454, 54720, 51047, 52133, 62479, 51606, 51043, 52316, 78590, 51606, 51043, 51426, 67702, 51606, 69023, 53002, 51154, 53002, 51375, 54454, 57166, 51047, 52133, 51047, 50462, 51565, 51043, 50474, 52251, 51043, 51540, 50625, 51565, 69023, 53002, 51154, 53002, 51375, 53002, 55430, 51047, 52133, 62479, 51606, 51043, 51299, 78590, 51606, 51043, 52316, 67702, 51606, 51047, 51887, 51215, 51154, 53002, 51165, 51336, 60515, 51047, 52133, 51047, 50462, 51154, 53002, 50474, 51088, 53002, 51540, 50625, 51752, 51043, 51887, 51215, 51154, 53002, 51375, 54454, 51093, 51336, 54720, 51047, 52133, 62479, 51606, 51043, 52316, 78590, 51606, 50878, 51299, 77683, 51606, 69204, 51154, 53002, 51154, 53002, 51375, 52392, 51093, 51336, 57166, 51047, 52133, 51047, 50462, 51565, 51043, 50474, 52251, 51043, 51540, 50625, 51827, 51043, 51088, 52392, 51375, 51896, 51375, 54454, 51093, 51215, 55430, 51047, 52133, 62479, 52251, 51043, 51088, 53002, 51201, 78590, 51565, 77129, 54300, 51182, 67702, 51606, 51047, 51154, 53002, 51088, 53002, 51375, 53002, 51629, 51215, 60515, 51047, 52133, 51047, 50462, 51201, 51215, 50474, 51182, 51215, 51540, 50625, 51752, 51043, 51887, 51215, 51154, 53002, 51375, 53002, 51394, 51294, 54720, 51047, 52133, 62479, 51606, 51043, 52316, 78590, 51606, 51043, 51299, 51215, 51394, 60835, 51304, 58710, 51606, 69023, 53002, 51629, 51215, 57166, 51047, 52133, 51047, 50462, 51673, 51043, 51182, 51215, 50474, 51673, 51043, 51201, 51215, 51540, 50625, 51673, 51043, 51887, 51215, 51154, 53002, 51375, 53002, 51629, 51655, 55430, 51047, 52133, 62479, 51606, 51043, 52316, 78590, 51606, 51043, 51299, 67702, 51606, 51134, 51154, 53002, 51154, 53002, 51375, 53002, 60515, 51047, 52133, 51047, 50474, 51565, 50878, 50480, 52251, 50878, 51540, 50625, 51565, 51043, 51251, 51655, 51154, 53002, 51375, 53002, 51093, 53002, 58366, 51714, 58366, 51714, 50426, 51606, 69397, 51606, 65029, 51606, 51043, 58366, 51043, 58366, 51397, 50462, 51565, 51043, 58366, 51043, 58366, 51043, 50474, 52251, 51043, 55793, 51043, 55793, 51043, 51540, 50625, 51606, 51047, 51794, 51655, 60515, 60610, 51606, 53999, 51565, 58638, 51606, 52843, 52161, 51047, 57166, 51047, 51540, 50625, 51651, 51047, 51327, 51047, 51980, 51047, 54757, 51047, 52566, 51047, 54254, 51047, 54785, 51452, 50856, 52917, 50856, 53018, 50856, 53325, 54785, 56060, 52161, 51043, 51231, 51047, 51414, 51047, 51980, 51047, 52650, 51047, 53267, 51047, 54254, 51047, 52993, 51452, 76066, 50462, 51606, 73315, 50863, 50474, 51565, 73315, 50863, 50480, 52993, 50878, 51540, 50625, 52251, 51043, 51303, 51151, 51651, 51151, 51327, 51151, 53118, 51151, 54757, 51151, 52566, 51151, 52584, 51452, 50856, 52917, 51565, 73315, 53018, 51606, 73315, 60795, 52993, 58638, 52584, 52843, 52251, 51043, 52251, 52919, 54740, 51043, 52585, 51047, 76066, 50462, 51565, 51043, 51827, 51043, 54428, 73315, 50863, 50474, 51606, 51043, 51673, 51043, 53647, 73315, 50863, 51540, 50625, 51606, 51422, 52251, 52644, 52102, 51047, 51303, 51047, 51651, 51047, 56837, 51047, 53118, 51047, 54757, 51047, 54740, 51047, 52458, 51047, 50856, 52917, 50856, 53018, 50856, 52805, 52161, 51422, 51606, 51043, 51476, 51047, 51687, 51047, 51651, 51047, 53715, 51047, 54969, 51047, 54757, 51047, 53000, 51043, 51416, 51047, 76066, 50462, 51565, 51043, 53039, 73315, 50863, 50474, 52251, 51717, 54740, 73315, 50863, 51540, 50625, 52671, 51151, 52671, 51717, 52102, 51151, 51303, 51151, 51651, 51151, 56837, 51452, 53118, 51452, 54757, 51452, 54361, 51151, 51526, 73315, 52917, 51416, 73315, 50863, 62083, 73315, 52805, 52585, 62211, 50863, 50462, 76066, 50468, 62733, 50878, 50474, 61321, 54049, 50863, 50478, 55301, 50810, 50482, 55298, 50810, 51540, 50625, 51651, 51047, 51327, 51047, 51980, 51047, 54757, 51047, 52566, 51047, 54254, 51047, 54785, 51452, 50856, 52917, 50856, 53018, 50856, 53325, 54785, 56060, 52161, 51043, 51231, 51047, 51414, 51047, 51980, 51047, 52650, 51047, 53267, 51047, 54254, 51047, 52993, 51452, 76066, 50462, 51606, 73315, 50863, 50474, 51565, 73315, 50863, 50480, 52993, 50878, 51540, 50625, 52251, 51714, 51303, 51151, 51651, 51151, 51327, 51151, 53118, 51151, 54757, 51151, 52566, 51151, 52584, 51452, 50856, 52917, 51565, 73315, 53018, 51606, 73315, 60795, 52993, 58638, 52584, 52843, 52251, 52919, 54740, 51043, 52585, 51047, 76066, 50462, 51565, 51043, 54428, 73315, 50863, 50474, 51606, 51043, 53647, 73315, 50863, 51540, 50625, 51606, 51422, 52251, 52644, 52102, 51047, 51303, 51047, 51651, 51047, 56837, 51047, 53118, 51047, 54757, 51047, 54740, 51047, 52585, 51047 ]
[ 0, 713, 8787, 5175, 8, 3152, 24904, 2125, 6, 278, 11, 381, 3694, 6, 16, 10, 13363, 28191, 11739, 9, 19448, 8, 15352, 30054, 4785, 19, 41, 223, 28311, 9, 15073, 4, 2306, 9756, 6, 30587, 6, 8, 2382, 3459, 29589, 45552, 833, 19, 38668, 22052, 6, 150, 10, 31391, 1672, 9590, 3639, 5581, 7, 5, 15229, 4, 590, 10, 748, 1879, 4450, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 1575, 10, 16331, 33215, 16739, 9, 3676, 8, 163, 428, 6, 2351, 10, 5679, 26709, 8, 980, 219, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 67004, 52124, 54089, 51349, 56100, 51282, 53765, 51089, 55224, 51023, 52322, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 66844, 54089, 51132, 75361, 51118, 53765, 51061, 55224, 51089, 53585, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 70973, 55419, 51089, 53765, 51023, 55224, 51089, 53585, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 70973, 55419, 51089, 53765, 51023, 55224, 51089, 53585, 51023, 55451, 51089, 50896, 50799, 52124, 54089, 51349, 56100, 51282, 53765, 51089, 55224, 51023, 52322, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 66844, 54089, 51132, 75361, 51118, 53765, 51061, 55224, 51089, 53585, 51023, 50896, 55815, 52570, 50444, 51089, 54526, 51023, 57024, 51089, 50896, 70973, 55419, 51089, 53765, 51023, 55224, 51089, 53585, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 70973, 55419, 51089, 53765, 51023, 55224, 51089, 53585, 51023, 55451, 51089, 50896, 50799, 52124, 54089, 51349, 56100, 51282, 53765, 51089, 55224, 51023, 52322, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 66844, 54089, 51132, 56100, 51118, 53765, 51061, 55224, 51089, 53585, 51023, 55451, 51089, 54526, 51061, 57024, 51118, 50896, 50799, 52124, 54089, 51349, 56100, 51282, 53765, 51089, 55224, 51023, 52322, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 50799, 52947, 54089, 51533, 51036, 54307, 69097, 51557, 53765, 51341, 55224, 51020, 53585, 51023, 55451, 51089, 54526, 51020, 57024, 51341, 50896, 50799, 52124, 54089, 51349, 51036, 55815, 52570, 50420, 51282, 53765, 51089, 55224, 51023, 52322, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 66844, 54089, 51132, 56100, 51118, 53765, 51061, 55224, 51089, 53585, 51023, 55451, 51089, 54526, 51061, 57024, 51118, 50896, 50799, 52047, 54089, 51338, 51036, 54307, 69097, 51401, 53765, 51118, 55224, 51089, 53585, 51023, 55451, 51089, 52610, 51089, 57024, 51118, 50896, 50799, 53707, 54089, 51727, 51036, 53828, 52570, 50420, 51616, 53765, 51557, 55224, 51083, 53585, 51023, 55451, 51089, 54526, 51083, 57024, 51557, 50896, 50799, 52124, 54089, 51349, 51036, 56035, 61912, 51282, 53765, 51089, 55224, 51023, 52322, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 66844, 54089, 51132, 51036, 57697, 61912, 51118, 53765, 51061, 55224, 51089, 53585, 51023, 55451, 51089, 54526, 51061, 57024, 51118, 50896, 50799, 52124, 54089, 51349, 51036, 56035, 61912, 51282, 53765, 51089, 55224, 51023, 52322, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 50799, 52947, 54089, 51533, 51036, 54339, 51469, 65638, 61912, 51557, 53765, 51341, 55224, 51020, 53585, 51023, 55451, 51089, 54526, 51020, 57024, 51341, 50896, 50799, 52124, 54089, 51349, 51036, 53828, 52570, 64638, 61912, 51282, 53765, 51089, 55224, 51023, 52322, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 66844, 54089, 51132, 51036, 57697, 61912, 51118, 53765, 51061, 55224, 51089, 53585, 51023, 55451, 51089, 54526, 51061, 57024, 51118, 50896, 50799, 52047, 54089, 51338, 51036, 52626, 51469, 67375, 61912, 51401, 53765, 51118, 55224, 51089, 53585, 51023, 55451, 51089, 52610, 51089, 57024, 51118, 50896, 50799, 53707, 54089, 51727, 51036, 52886, 51469, 62251, 61912, 51616, 53765, 51557, 55224, 51083, 53585, 51023, 55451, 51089, 54526, 51083, 57024, 51557, 50896, 66844, 51469, 51132, 51492, 59151, 52570, 57697, 77076, 51557, 64246, 51118, 66808, 51061, 55224, 51020, 53585, 51092, 55451, 51020, 54526, 51061, 57024, 51118, 50896, 66844, 69097, 51118, 53765, 51061, 55224, 51020, 53585, 51092, 55451, 51020, 54526, 51061, 57024, 51118, 50896, 66844, 51469, 51132, 51492, 65638, 77076, 51557, 53765, 51341, 55224, 51020, 53585, 51092, 55451, 51020, 54526, 51341, 57024, 51557, 50896, 50799, 51546, 50896, 50700, 50343, 66645, 51020, 53765, 51341, 55224, 51185, 50896, 64298, 72328, 51020, 55451, 51341, 54526, 51092, 50896, 59151, 57024, 51020, 50896, 66844, 51469, 51132, 51492, 59151, 52570, 57697, 77076, 51557, 64246, 51118, 66808, 51061, 55224, 51020, 53585, 51092, 55451, 51020, 54526, 51061, 57024, 51118, 50896, 66844, 69097, 51118, 53765, 51061, 55224, 51020, 53585, 51092, 55451, 51020, 54526, 51061, 57024, 51118, 50896, 66844, 51469, 51132, 51492, 65638, 77076, 51557, 53765, 51341, 55224, 51020, 53585, 51092, 55451, 51020, 54526, 51341, 57024, 51557, 50896, 50799, 51546, 50896, 50700, 50343, 66645, 51020, 53765, 51341, 55224, 51185, 50896, 64298, 72328, 51020, 55451, 51341, 54526, 51092, 50896, 59151, 57024, 51020, 50896, 70782, 51469, 51137, 51492, 64298, 52570, 56643, 77076, 51118, 64246, 51083, 66808, 51020, 55224, 51023, 53585, 51185, 55451, 51023, 54526, 51020, 57024, 51083, 50896, 70782, 69097, 51083, 53765, 51020, 55224, 51023, 53585, 51185, 55451, 51023, 54526, 51020, 57024, 51083, 50896, 70782, 51469, 51137, 51492, 57697, 77076, 51118, 53765, 51061, 55224, 51023, 53585, 51185, 55451, 51023, 54526, 51061, 57024, 51118, 50896, 50799, 51530, 50896, 50700, 50345, 66645, 51023, 53765, 51061, 55224, 51403, 50896, 50700, 50344, 72328, 51023, 55451, 51061, 54526, 51185, 50896, 64298, 57024, 51023, 50896, 70782, 51469, 51137, 51492, 64298, 52570, 56643, 77076, 51118, 64246, 51083, 66808, 51020, 55224, 51023, 53585, 51185, 55451, 51023, 54526, 51020, 57024, 51083, 50896, 70782, 69097, 51083, 53765, 51020, 55224, 51023, 53585, 51185, 55451, 51023, 54526, 51020, 57024, 51083, 50896, 70782, 51469, 51137, 51492, 57697, 77076, 51118, 53765, 51061, 55224, 51023, 53585, 51185, 55451, 51023, 54526, 51061, 57024, 51118, 50806, 74290, 51469, 50700, 50345, 51469, 50415, 51061, 51469, 50416, 51023, 51469, 50417, 51530, 51469, 79361, 50896, 50700, 50344, 52570, 50420, 51268, 53765, 51495, 55224, 51023, 53585, 51089, 55451, 51268, 54526, 51495, 57024, 51023, 50896, 79361, 55419, 51268, 53765, 51495, 55224, 51023, 53585, 51089, 55451, 51268, 54526, 51495, 57024, 51023, 50896, 79361, 55419, 51061, 53765, 51118, 55224, 51023, 53585, 51089, 55451, 51061, 54526, 51118, 50896, 55815, 57024, 51023, 50896, 53828, 50896, 79361, 50896, 53718, 55419, 51061, 50896, 52626, 53765, 51118, 50896, 55815, 55224, 51023, 50896, 53828, 53585, 51089, 50896, 53718, 55451, 51061, 50896, 52626, 54526, 51118, 50896, 55815, 57024, 51023, 50896, 53828, 50896, 79361, 50896, 55248, 55419, 51268, 50896, 53976, 53765, 51495, 50896, 55815, 55224, 51023, 50896, 53828, 53585, 51089, 50896, 55248, 55451, 51268, 50896, 53976, 54526, 51495, 50896, 55815, 57024, 51023, 50896, 53828, 50896, 79361, 50896, 55248, 55419, 51268, 50896, 53976, 53765, 51495, 50896, 55815, 55224, 51023, 50896, 53828, 53585, 51089, 50896, 55248, 55451, 51268, 50896, 53976, 54526, 51495, 50896, 55815, 57024, 51023, 50896, 53828, 50896, 79361, 50896, 53718, 55419, 51061, 50896, 52626, 53765, 51118, 50896, 55815, 55224, 51023, 50896, 53828, 53585, 51089, 50896, 53718, 55451, 51061, 50896, 52626, 54526, 51118, 50896, 55815, 57024, 51023, 50896, 53828, 50896, 79361, 50896, 53718, 55419, 51061, 50896, 52626, 53765, 51118, 50896, 55815, 55224, 51023, 50896, 53828, 53585, 51089, 50896, 53718, 55451, 51061, 50896, 52626, 54526, 51118, 57024, 51023, 50896, 79361, 55419, 51083, 53765, 51282, 55224, 51763, 51685, 51684, 51492, 62251, 51184, 52583, 51184, 50438, 51282, 55451, 51083 ]
[ 0, 250, 15352, 30054, 5175, 1619, 2214, 19, 10, 2842, 9, 14123, 3495, 6, 4246, 10, 13305, 483, 7513, 30, 31391, 1672, 9590, 8, 21072, 6, 7630, 14805, 10, 19448, 8, 1372, 5466, 4, 8504, 11, 10, 7212, 155, 73, 306, 86, 6543, 8, 5, 762, 9, 163, 428, 538, 6, 5, 2125, 16, 17407, 30, 5, 33215, 16739, 9, 163, 428, 6, 272, 119, 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 ]	[ 80054, 51533, 51291, 50816, 52001, 50858, 72840, 51291, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52557, 51631, 50843, 56274, 52557, 50991, 58932, 54112, 52585, 51091, 55677, 51091, 51450, 55509, 50808, 52027, 50795, 51515, 50795, 51773, 51918, 50843, 50808, 52557, 50795, 51034, 51602, 66692, 52001, 50858, 68641, 50918, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52027, 50795, 51515, 50795, 51773, 51631, 50843, 56274, 52557, 51628, 50843, 50810, 52027, 52262, 66197, 55511, 52221, 55509, 50808, 57117, 50807, 52027, 50795, 51515, 51918, 52615, 51163, 50808, 52557, 50795, 51034, 51533, 51291, 50816, 52001, 50858, 72840, 51291, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52557, 51631, 50843, 56274, 52557, 50991, 58932, 54112, 52585, 51091, 55677, 51091, 51450, 55509, 50808, 52027, 50795, 51515, 50795, 51773, 51918, 50843, 50808, 52557, 50795, 51034, 51602, 66692, 52001, 50858, 68641, 50918, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52027, 50795, 51515, 50795, 51773, 51631, 50843, 56274, 52557, 51628, 50843, 50810, 52027, 52262, 66197, 55511, 52221, 55509, 50808, 57117, 50807, 52027, 50795, 51515, 51918, 52615, 51163, 50808, 52557, 50795, 51034, 51533, 51291, 50816, 52001, 50858, 72840, 51291, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52557, 51631, 50843, 56274, 52557, 50991, 58932, 54112, 52585, 51091, 55677, 51091, 51450, 55509, 50808, 52027, 50795, 51515, 50795, 51773, 51918, 50843, 50808, 52557, 50795, 51034, 51602, 66692, 52001, 50858, 68641, 50918, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52027, 50795, 51515, 50795, 51773, 51631, 50843, 56274, 52557, 51628, 50843, 50810, 52027, 52262, 66197, 55511, 52221, 55509, 50808, 57117, 50807, 52027, 50795, 51515, 51918, 52615, 51163, 50808, 52557, 50795, 51034, 51533, 51291, 50816, 52001, 50858, 72840, 51291, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52557, 51631, 50843, 56274, 52557, 50991, 58932, 54112, 52585, 51091, 55677, 51091, 51450, 55509, 50808, 52027, 50795, 51515, 50795, 51773, 51918, 50843, 50808, 52557, 50795, 51034, 51602, 66692, 52001, 50858, 68641, 50918, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52027, 50795, 51515, 50795, 51773, 51631, 50843, 56274, 52557, 51628, 50843, 50810, 52027, 52262, 66197, 55511, 52221, 55509, 50808, 57117, 50807, 52027, 50795, 51515, 51918, 52615, 51163, 50808, 51434, 52513, 51929, 50800, 51034, 52585, 72750, 52001, 50858, 55677, 50983, 52027, 50991, 51515, 50991, 51773, 50991, 51001, 50993, 52399, 54588, 52557, 51091, 51001, 50993, 55057, 53627, 52585, 54982, 50810, 55677, 59351, 75084, 55509, 50808, 52027, 50807, 51515, 50807, 51773, 59351, 52313, 52585, 52732, 50808, 55677, 57367, 50802, 51034, 51416, 72750, 52001, 50858, 54437, 50983, 52027, 50991, 51515, 50991, 51773, 50991, 51001, 50993, 52399, 54588, 52557, 51091, 51001, 50993, 55057, 53627, 51416, 54982, 50810, 54437, 61241, 75084, 55509, 50808, 52027, 50807, 51515, 50807, 51773, 59351, 52313, 51416, 51428, 55509, 50808, 54437, 57367, 50802, 51034, 51526, 72750, 52001, 50858, 57117, 50983, 51614, 50991, 51515, 50991, 51773, 50991, 50902, 50993, 52399, 54588, 52557, 51091, 50902, 50993, 55057, 53627, 51526, 54982, 50810, 57117, 63161, 75084, 55509, 50808, 51614, 50807, 51515, 50807, 51773, 63161, 52313, 51526, 52732, 50808, 57117, 56645, 50802, 51034, 51602, 51358, 50816, 52001, 50858, 68641, 51358, 51774, 50991, 52027, 50991, 51773, 50991, 50876, 50993, 52399, 54588, 51614, 50991, 51773, 50991, 50902, 50993, 55057, 53627, 50843, 50810, 52027, 50795, 51773, 57367, 75084, 55509, 50808, 52027, 50807, 51773, 63161, 52313, 51602, 51428, 55509, 50808, 68641, 53658, 57967, 51034, 52585, 72750, 52001, 50858, 55677, 50983, 52027, 50991, 51515, 50991, 51773, 50991, 51001, 50993, 52399, 54588, 52557, 51091, 51001, 50993, 55057, 53627, 52585, 54982, 50810, 55677, 59351, 75084, 55509, 50808, 52027, 50807, 51515, 50807, 51773, 59351, 52313, 52585, 52732, 50808, 55677, 57367, 50802, 51034, 51416, 72750, 52001, 50858, 54437, 50983, 52027, 50991, 51515, 50991, 51773, 50991, 50951, 50993, 52399, 54588, 52557, 51091, 50951, 50993, 55057, 53627, 51416, 54982, 50810, 54437, 59351, 75084, 55509, 50808, 52027, 50807, 51515, 50807, 51773, 63161, 52313, 51416, 51428, 55509, 50808, 54437, 56645, 50802, 51034, 51526, 72750, 52001, 50858, 57117, 50983, 51614, 50991, 51515, 50991, 51773, 50991, 50902, 50993, 52399, 54588, 52557, 51091, 51001, 50993, 55057, 53627, 51526, 54982, 50810, 57117, 59351, 75084, 55509, 50808, 51614, 50807, 51515, 50807, 51773, 56831, 52313, 51526, 52732, 50808, 57117, 56645, 50802, 51034, 51602, 72750, 52001, 50858, 68641, 50983, 52027, 50991, 51515, 50991, 51773, 50991, 51001, 51009, 52399, 54588, 52557, 51091, 55057, 53627, 51602, 52732, 50810, 68641, 50795, 54908, 52221, 55509, 50808, 54437, 50807, 52027, 50807, 51515, 50807, 51773, 50807, 52129, 55509, 50808, 51034, 51526, 72750, 52001, 50858, 57117, 50983, 51614, 50991, 51515, 50991, 51773, 50991, 50902, 50993, 52399, 54588, 52557, 51091, 51001, 50993, 55057, 53627, 51526, 52732, 50810, 57117, 56645, 52125, 51132, 51428, 55509, 50808, 58933, 50795, 51614, 50807, 51515, 50807, 51773, 61241, 52313, 51526, 52732, 50808, 57117, 59688, 50802, 51034, 51602, 72750, 52001, 50858, 68641, 50983, 52027, 50991, 51515, 50991, 51773, 50991, 50951, 51059, 52399, 54588, 52557, 51091, 55057, 56274, 50931, 52119, 51602, 54982, 50810, 68641, 63161, 51029, 51450, 55509, 50808, 52027, 50807, 51515, 50807, 51773, 53218, 51602, 51428, 55509, 50808, 68641, 50795, 51034, 51533, 72750, 52001, 50858, 72840, 50983, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52557, 52910, 50843, 53627, 52585, 63185, 50810, 55677, 50983, 50435, 52557, 64772, 55509, 50808, 51515, 50795, 51773, 51918, 50843, 50808, 52027, 50795, 51034, 51533, 72750, 52001, 50858, 72840, 50983, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52557, 52910, 50843, 53627, 52585, 63185, 50810, 55677, 50983, 50435, 52557, 64772, 55509, 50808, 51515, 50795, 51773, 56730, 53609, 51001, 50993, 52129, 55509, 50808, 52027, 50795, 51034, 51416, 66692, 52001, 50858, 54437, 50918, 52027, 57367, 50824, 52399, 50833, 52557, 52296, 51773, 51631, 50843, 56274, 51515, 51291, 58932, 50810, 54908, 52221, 55509, 50808, 54437, 63161, 52313, 50843, 50808, 51001, 52911, 51001, 51059, 51034, 51602, 66692, 52001, 50858, 68641, 50918, 52027, 52115, 50843, 50833, 52557, 52296, 51773, 51631, 50843, 56274, 51774, 51291, 58932, 50810, 56618, 52221, 55509, 50808, 68641, 55695, 50802, 52129, 55509, 50808, 51001, 52911, 51001, 50802, 51034, 51533, 66692, 52001, 50858, 72840, 50918, 52027, 55728, 50906, 50993, 52399, 50833, 52557, 52296, 52027, 51631, 50843, 56274, 51515, 51291, 58932, 50810, 63370, 51428, 55509, 50808, 55677, 51918, 51526, 52732, 50808, 57117, 50795, 51034, 51533, 66692, 52001, 50858, 72840, 50918, 51773, 52115, 50843, 50833, 52557, 52296, 52027, 51631, 50843, 56274, 51515, 50991, 58932, 50810, 63370, 52221, 55509, 50808, 55677, 50807, 51515, 66303, 56119, 52027, 51820, 52615, 51163, 50808, 51614, 64441, 55373, 52027, 50800, 51034, 51416, 66692, 52001, 50858, 54437, 50918, 52027, 57367, 50824 ]
[ 0, 250, 1144, 26016, 3495, 1619, 2214, 3820, 19, 657, 8, 11098, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 21072, 6, 13305, 6, 8, 2382, 3459, 8669, 6, 70, 447, 561, 7, 1045, 10, 15352, 30054, 8, 33558, 5466, 6, 19, 5, 33215, 16739, 9, 381, 6, 163, 6, 83, 6, 381, 6, 163, 19983, 1328, 5, 2125, 6, 278, 11, 5, 762, 9, 381, 538, 8, 10, 7212, 204, 73, 306, 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 ]	[ 57530, 50791, 51693, 51039, 51693, 51302, 52975, 50804, 53294, 51553, 55757, 51553, 52616, 51224, 55551, 51289, 53533, 52033, 51939, 51656, 51939, 51040, 70002, 51167, 51284, 50983, 52487, 51295, 50946, 51060, 50868, 51112, 51069, 51446, 51897, 57900, 52694, 53217, 50916, 51400, 51089, 63039, 50828, 51385, 52755, 54026, 51089, 59869, 50836, 71786, 54852, 50977, 50946, 53677, 50830, 61305, 52944, 50916, 51753, 51028, 51175, 51089, 63039, 50828, 51385, 61896, 51112, 74161, 54074, 52532, 52641, 50973, 50873, 51284, 50830, 52487, 50942, 51228, 71099, 54974, 51558, 50809, 54294, 54215, 71091, 51558, 50809, 54294, 75096, 55729, 50830, 51213, 50938, 53552, 53270, 53522, 53439, 51905, 50818, 56939, 52950, 52033, 51939, 52255, 51939, 50916, 51189, 50973, 51204, 51905, 50800, 56939, 50854, 51396, 51060, 68623, 51019, 51623, 51897, 52532, 62969, 51384, 50809, 54970, 63753, 51905, 50809, 56939, 54247, 51281, 73882, 50828, 51403, 50828, 51558, 51291, 54294, 51562, 50913, 53528, 51281, 73882, 50828, 51403, 53035, 51396, 53677, 51049, 52532, 53217, 50965, 74690, 51091, 51281, 73882, 50828, 51403, 62427, 50991, 50992, 51048, 54074, 52532, 50825, 57126, 50987, 50913, 52944, 70584, 51396, 50865, 50868, 50830, 68105, 51230, 50958, 53522, 53109, 51284, 50809, 52487, 62115, 79432, 52838, 66659, 51881, 51939, 52332, 51939, 53337, 51346, 50989, 51112, 51600, 50983, 52405, 51295, 51506, 50967, 67288, 50927, 51623, 51897, 52532, 53031, 51023, 72971, 52755, 53439, 51268, 63039, 72971, 53574, 50877, 51174, 51506, 57172, 50830, 61305, 53114, 50989, 51157, 50902, 51362, 51268, 59869, 64779, 66275, 51048, 54074, 52532, 52743, 72224, 52405, 55006, 54781, 51629, 50809, 52838, 64405, 51629, 50809, 52838, 54319, 64190, 51506, 50865, 61325, 51205, 50910, 53552, 53270, 53522, 54026, 51284, 50809, 52487, 59496, 51656, 51939, 50799, 52033, 51939, 50916, 51157, 50973, 75283, 51191, 74531, 52487, 62756, 50967, 50868, 51112, 51069, 51623, 51897, 52532, 65533, 51558, 50809, 54294, 66356, 51266, 51291, 51733, 51562, 50420, 51089, 63039, 50828, 51385, 52755, 53109, 51089, 63039, 50828, 51385, 53425, 50916, 51961, 50946, 50865, 50868, 51049, 52532, 53031, 51028, 50806, 51089, 59869, 50836, 51385, 62427, 51112, 74161, 54074, 52532, 52742, 50973, 50987, 50913, 53114, 67946, 61233, 50946, 55729, 62416, 50938, 51230, 50958, 53522, 57013, 53389, 63041, 79206, 51733, 54276, 53389, 51939, 53100, 51939, 50916, 51235, 50877, 51362, 51284, 50818, 51284, 50818, 52487, 50839, 52487, 65968, 50967, 68623, 51011, 51623, 51897, 52532, 53217, 51089, 63039, 50828, 51385, 52755, 54026, 51089, 63039, 50828, 79426, 55524, 50874, 50946, 50865, 50868, 50809, 61305, 52944, 50916, 51391, 51028, 51048, 51089, 59869, 50836, 51385, 62427, 50991, 74161, 54074, 52532, 58990, 69961, 52487, 53906, 50913, 64640, 51558, 50809, 54294, 61721, 51558, 50800, 54294, 53911, 64645, 50946, 55729, 50830, 51213, 50938, 53552, 53270, 53522, 56446, 51905, 50809, 56939, 59948, 52033, 50835, 51905, 50809, 56939, 53894, 53541, 50835, 53541, 50835, 52033, 51939, 50916, 51351, 50973, 51091, 51396, 50983, 68623, 50992, 51060, 51019, 50846, 51019, 54376, 51041, 52532, 56819, 64672, 54970, 62079, 51905, 50800, 56939, 75636, 51558, 51091, 54294, 51351, 50444, 51281, 73882, 50828, 51403, 52755, 53528, 51281, 73882, 50828, 51403, 53886, 50868, 51049, 52532, 53217, 50965, 50948, 51281, 72019, 50828, 51403, 62427, 50991, 50992, 51112, 54074, 52532, 50825, 57126, 50987, 51284, 50809, 52487, 55748, 55916, 51629, 50809, 52838, 59196, 51600, 50809, 52405, 66089, 51266, 50809, 51733, 54475, 67597, 51396, 50865, 50868, 50830, 68105, 51230, 50958, 53522, 58092, 51107, 50830, 51384, 57629, 52332, 51477, 51881, 51477, 50899, 51091, 50877, 51191, 51268, 51191, 51185, 51189, 51488, 50800, 51905, 50854, 51506, 50983, 50848, 51112, 50944, 50983, 50927, 51141, 59468, 57845, 67247, 51384, 53911, 51284, 50809, 52487, 53894, 69401, 51384, 50862, 61325, 50443, 52033, 51477, 50444, 53100, 51542, 51040, 51091, 50877, 51091, 51089, 51191, 51385, 51189, 51488, 50800, 51905, 50854, 51217, 51048, 79863, 79493, 51228, 51141, 55525, 53528, 69401, 51384, 53938, 79206, 51733, 54424, 51357, 50818, 51558, 50839, 51488, 50809, 51905, 50862, 51017, 65102, 70629, 53541, 51542, 51881, 51542, 57542, 64815, 51204, 51083, 50914, 51208, 51191, 76631, 51558, 50854, 51396, 51091, 50868, 51112, 50992, 51112, 51205, 51141, 59468, 61252, 51488, 50800, 51905, 54611, 69401, 51384, 61521, 74611, 51558, 53901, 50868, 50830, 71103, 50431, 51656, 51477, 50432, 53100, 51477, 51040, 51159, 50916, 51048, 51089, 51189, 51023, 50914, 51113, 50983, 51284, 51295, 50946, 51060, 50868, 50983, 75707, 51069, 51157, 55525, 52742, 50804, 52942, 52616, 50916, 51252, 67692, 51385, 50917, 50946, 50809, 51213, 50938, 51553, 61576, 52255, 51477, 52033, 51542, 59758, 51109, 50965, 51016, 51089, 51191, 51208, 51191, 51396, 50991, 50868, 51091, 50992, 51091, 51019, 51204, 51553, 53563, 50843, 54359, 51224, 50883, 55524, 51862, 51396, 78218, 53576, 52033, 52015, 51656, 51939, 50916, 51025, 50877, 65057, 50983, 68623, 50850, 50809, 51069, 51077, 59468, 52966, 50913, 53031, 50916, 67923, 50830, 61305, 52742, 50916, 55584, 51028, 50806, 51089, 51162, 51023, 51162, 51385, 51159, 68623, 74161, 60375, 52532, 53114, 50973, 51006, 51228, 71099, 52743, 67692, 50868, 50830, 51213, 50938, 53552, 52532, 59713, 52033, 51939, 52255, 51939, 50456, 50916, 51411, 50965, 51191, 51396, 50983, 51042, 50991, 68623, 51019, 51623, 51577, 50875, 50825, 63150, 52944, 50916, 51470, 51042, 55729, 51049, 52532, 52641, 50916, 51480, 50973, 51226, 51281, 50914, 51208, 50914, 51403, 50914, 68623, 50992, 51048, 60375, 52532, 53031, 50965, 51254, 50913, 52742, 64385, 51396, 50865, 50868, 50830, 51019, 57882, 53522, 59692, 51881, 51939, 52332, 51939, 50444, 50989, 51162, 50877, 51091, 51506, 51112, 50848, 51112, 50927, 51623, 64234, 52300, 52743, 50913, 53217, 78353, 51506, 51060, 61325, 61305, 50825, 57126, 51363, 50902, 50983, 51268, 50914, 51023, 51159, 51185, 50914, 67288, 50944, 51112, 60375, 52532, 52944, 50877, 51174, 50913, 52641, 50989, 50933, 50877, 51258, 51506, 50865, 50946, 54474, 50830, 51205, 50938, 53552, 52532, 59277, 53389, 53478, 52033, 52015, 64185, 51351, 50877, 51204, 50946, 51112, 68623, 51069, 51623, 51577, 50875, 52742, 50913, 56819, 51113, 50866, 51284, 58867, 51107, 51101, 51384, 51277, 50946, 53677, 50830, 61305, 52743, 79848, 51028, 51060, 51089, 51159, 51023, 51159, 51385, 51159, 51488, 51101, 51905, 51277, 68623, 74161, 60375, 52532, 53217, 50973, 50977, 51357, 50845, 51558, 58543, 56834, 51881, 50974, 54852, 50822, 51113, 50866, 51284, 51006, 50946, 55729, 50830, 51019, 61061, 53522, 61732, 53100, 51939, 61683, 51377, 50916, 51191, 51301, 51043, 51266, 51309, 50946, 50991, 50868, 51112, 51011, 51623, 64234, 52300, 52641, 50913, 53031, 51040, 51142, 50946, 53677, 50830, 61305, 52742, 50877, 51362, 51089, 51159, 51023, 51159, 51385, 51159, 68623, 74161, 60375, 52532, 53114, 50916, 50974, 50913, 52743, 79848, 50946, 65102, 50830, 51213, 50938, 53552, 52532, 59713, 52033, 51939, 53541, 51939, 50456, 50916, 51400, 50965, 51362, 51396, 51112, 51042, 50991, 68623, 51019, 51623, 51577, 50875, 50825, 63150, 52944 ]
[ 0, 713, 14899, 3152, 2214, 6, 30291, 19, 10, 3495, 18105, 12203, 6, 22750, 1626, 11098, 8, 10563, 4, 1698, 30514, 30, 10, 1428, 12989, 2810, 9, 21072, 8, 3459, 29589, 6, 217, 2382, 8, 81, 9756, 23225, 6, 5, 2125, 11498, 10, 20902, 20889, 4, 20, 1285, 9, 10, 32909, 3639, 10, 4520, 6, 15352, 30054, 2842, 7, 5, 20425, 15229, 4, 8504, 11, 5, 762, 9, 83, 538, 8, 2329, 1843, 154, 7, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 10, 6878, 8, 7580, 1349, 31, 386, 7, 2073, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 61627, 51943, 51047, 50439, 52971, 51183, 61697, 51141, 51969, 50834, 51200, 50863, 51188, 50829, 51188, 50858, 80069, 76988, 76439, 65976, 51185, 57515, 53829, 51969, 50825, 51200, 50835, 51188, 50829, 51188, 51060, 51265, 51277, 69360, 51268, 50907, 51023, 50851, 51185, 57051, 51545, 50915, 51083, 50912, 76439, 51023, 51210, 51185, 61888, 51135, 59485, 51499, 51628, 51507, 50866, 51188, 50837, 51499, 50865, 51083, 50907, 51268, 50984, 51023, 72729, 50984, 50433, 51969, 53115, 51785, 51241, 51969, 51576, 51200, 51484, 51200, 74493, 50932, 51265, 51391, 51083, 50851, 51268, 50984, 51023, 51051, 51185, 58491, 53885, 69360, 76439, 51023, 50822, 51185, 51022, 50449, 51188, 54596, 51200, 50857, 51545, 50866, 51083, 50933, 51268, 50907, 51023, 72729, 61185, 51135, 57905, 51969, 50837, 51188, 51000, 50455, 51404, 51294, 50456, 51785, 50987, 51083, 50851, 51268, 51365, 51023, 51210, 51185, 51022, 61697, 51189, 51265, 50810, 51083, 50933, 51268, 50907, 51023, 50933, 51185, 51365, 50798, 54031, 51200, 50820, 51969, 50862, 51188, 74226, 50974, 72154, 51268, 50984, 51023, 50874, 51185, 50984, 50421, 51323, 64131, 51545, 50995, 69360, 51268, 50907, 51023, 51008, 51185, 61185, 51135, 59485, 51823, 52605, 51507, 50866, 51200, 50825, 51188, 50837, 51969, 50857, 51083, 50851, 51268, 50907, 51023, 51210, 51185, 73632, 51404, 58818, 51785, 51351, 51969, 51484, 51200, 51576, 51188, 51199, 51188, 51091, 51265, 50981, 51083, 51051, 51268, 50851, 51023, 50933, 51185, 63834, 53885, 72154, 76439, 51023, 51051, 51185, 54626, 51200, 50820, 51969, 50857, 51545, 74786, 50933, 51268, 64777, 51008, 51185, 56485, 51179, 57905, 51188, 54583, 51785, 50901, 51083, 50851, 51268, 50907, 51023, 51051, 51185, 51022, 61697, 51191, 51188, 50858, 60317, 51083, 51008, 51268, 50874, 51023, 51008, 51185, 54923, 54031, 51969, 50820, 51200, 50834, 51188, 50834, 51188, 50937, 51265, 50974, 51083, 50933, 51268, 64777, 50933, 51185, 52580, 51499, 50854, 51545, 50995, 51083, 50933, 51268, 50907, 51023, 51008, 51185, 51524, 56239, 53644, 51507, 50987, 51969, 50837, 51200, 50837, 51188, 50870, 51499, 50905, 51083, 50933, 51268, 50907, 51023, 50912, 51185, 51022, 50437, 51200, 51253, 51188, 59612, 51785, 51351, 51969, 51576, 51200, 51267, 51265, 50932, 51083, 50933, 51268, 50874, 51023, 51051, 51185, 58491, 53885, 69360, 51268, 50907, 51023, 50933, 51185, 60801, 51969, 50835, 51200, 50825, 51188, 50864, 51499, 50849, 51545, 51328, 51083, 50851, 51268, 50851, 51023, 50933, 51185, 69372, 51179, 53650, 51785, 50905, 51188, 51013, 51083, 50912, 51268, 50984, 51023, 50959, 51185, 51123, 61697, 51191, 51265, 50810, 51083, 50933, 51268, 50907, 51023, 50933, 51185, 53970, 63267, 51404, 52734, 51969, 50834, 51200, 50837, 51188, 50855, 51265, 50838, 51083, 51051, 51268, 50851, 51023, 50933, 51185, 76785, 51404, 67297, 51545, 51380, 51083, 50933, 51268, 50851, 51023, 51051, 51185, 61888, 51179, 53644, 51507, 50955, 51969, 50857, 51188, 50810, 51083, 51008, 51268, 64777, 50933, 51185, 50984, 50433, 51200, 52904, 51785, 51115, 51188, 50857, 51969, 51542, 51200, 51419, 51265, 51097, 51083, 51008, 51268, 50851, 51023, 50959, 51185, 58491, 53675, 51083, 50933, 76439, 51023, 51142, 51185, 56104, 53533, 51188, 50855, 51545, 51006, 51083, 50912, 51268, 50984, 51023, 50933, 51185, 56485, 51179, 53650, 51785, 51008, 69360, 76439, 51023, 50822, 77861, 50799, 52314, 50948, 51507, 51141, 80069, 76988, 76439, 65976, 51185, 57515, 53829, 52314, 50859, 51188, 51194, 51200, 51412, 51823, 51255, 51265, 51277, 69360, 51268, 50907, 51023, 50851, 51185, 57051, 52314, 50795, 51545, 50915, 51083, 50912, 76439, 51023, 51210, 51185, 61888, 51135, 52975, 51744, 50859, 51507, 50866, 51083, 50907, 51268, 50984, 51023, 72729, 56006, 74261, 51785, 51241, 51200, 50981, 51188, 50915, 51823, 50915, 51265, 51391, 51083, 50851, 51268, 50984, 51023, 51051, 51185, 58491, 53885, 69360, 76439, 51023, 50822, 51185, 55814, 51545, 50866, 51083, 50933, 51268, 50907, 51023, 72729, 61185, 51135, 53563, 52314, 50858, 51785, 50987, 51083, 50851, 51268, 51365, 51023, 51210, 51185, 51022, 50799, 52314, 50893, 51507, 51189, 51265, 50810, 51083, 50933, 51268, 50907, 51023, 50933, 51185, 51365, 50798, 54031, 52314, 50800, 51188, 51194, 51823, 51043, 51200, 51203, 51265, 50974, 72154, 51268, 50984, 51023, 50874, 51185, 55070, 52314, 50879, 51545, 50995, 69360, 51268, 50907, 51023, 51008, 51185, 61185, 51135, 52975, 51744, 50858, 51507, 50866, 51083, 50851, 51268, 50907, 51023, 51210, 51185, 54584, 51485, 51226, 51785, 51351, 51265, 50981, 51083, 51051, 51268, 50851, 51023, 50933, 51185, 63834, 59764, 51200, 50995, 51188, 50981, 51823, 59242, 72154, 76439, 51023, 51051, 51185, 54626, 51545, 74786, 50933, 51268, 64777, 51008, 51185, 56485, 51179, 53563, 51785, 50901, 51083, 50851, 51268, 50907, 51023, 51051, 51185, 51022, 50799, 52314, 50858, 51507, 51191, 60317, 51083, 51008, 51268, 50874, 51023, 51008, 51185, 54923, 64174, 51200, 51363, 51188, 51203, 51823, 51203, 50420, 52314, 50800, 51265, 50974, 51083, 50933, 51268, 64777, 50933, 51185, 52580, 52314, 50879, 51545, 50995, 51083, 50933, 51268, 50907, 51023, 51008, 51185, 51524, 56239, 53644, 51744, 50952, 51507, 50987, 51083, 50933, 51268, 50907, 51023, 50912, 51185, 51022, 50437, 51823, 50981, 51200, 56656, 51485, 50879, 51785, 51351, 51188, 51097, 51265, 50932, 51083, 50933, 51268, 50874, 51023, 51051, 51185, 58491, 53885, 51485, 50859, 69360, 51268, 50907, 51023, 50933, 51185, 60801, 52061, 50924, 51545, 51328, 51083, 50851, 51268, 50851, 51023, 50933, 51185, 69372, 51179, 53650, 51485, 50858, 51507, 50905, 51083, 50912, 51268, 50984, 51023, 50959, 51185, 51123, 64934, 50896, 51785, 51241, 51726, 50829, 51495, 50971, 51089, 60686, 54897, 63632, 51726, 51337, 51023, 51524, 51495, 50912, 51089, 54711, 51943, 51043, 51404, 51043, 51200, 51363, 50425, 51023, 64586, 51990, 50995, 51495, 51142, 51089, 56485, 51135, 52975, 51785, 50878, 51023, 51142, 51495, 51210, 51089, 69658, 51860, 51191, 51943, 50995, 51726, 50995, 51089, 51051, 51495, 51365, 51023, 51365, 50798, 59764, 51200, 50995, 51404, 56306, 51089, 51142, 51023, 51210, 50445, 51495, 71940, 51990, 51212, 51023, 51142, 51089, 61185, 51135, 57905, 51495, 50984, 50455, 51860, 60077, 51023, 51051, 51495, 51210, 78985, 67659, 50858, 51785, 51351, 51726, 50822, 51495, 51210, 76432, 61174, 64174, 51200, 51775, 51943, 51025, 51404, 51480, 50420, 51744, 50859, 51089, 51051, 51495, 51365, 51023, 65369, 51726, 64570, 51744, 50952, 51990, 50995, 51023, 51051, 51495, 50984, 51089, 56485, 51135, 52975, 51485, 50859, 67365, 51495, 51210, 51023, 51142, 50433, 51785, 59983, 51485, 50879, 51860, 51351, 51200, 50981, 51726, 51097, 67365, 51495, 51123, 51023, 77477, 59764, 51943, 50915, 51404, 61112, 52061, 50849, 51089, 50907, 51023, 63107, 51495, 56881, 51990, 50892, 78985, 51495, 50907, 51023, 50933, 56239, 53563, 52061, 50833, 51860, 50844, 51495, 50874, 51089, 50864, 51023, 50874, 67659, 50858, 51785, 51241, 51726, 50829, 51495, 50971, 51089, 60686, 54897, 64174, 51726, 51337, 51023, 51524, 51495, 50912, 51089, 54711, 51744, 50879, 51943, 51043, 51404, 51043, 51200, 51363, 50425, 51023, 64586, 51485, 50940, 51990, 50995, 51495, 51142, 51089 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 13305, 6, 21979, 8669, 6, 38668, 22052, 6, 6755, 12547, 6, 8, 31391, 1672, 9590, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 11956, 38451, 3938, 20889, 4, 20, 33215, 16739, 9, 163, 35470, 757, 6, 3676, 6, 8, 230, 119, 1176, 406, 3639, 10, 2216, 12117, 7, 42, 2125, 6, 61, 5723, 10, 12405, 1619, 16464, 6, 442, 24, 10686, 13, 3618, 50, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 51349, 51496, 71869, 53389, 52988, 51131, 50978, 68103, 50998, 65220, 55023, 61531, 57798, 56691, 58315, 51789, 50940, 58060, 52071, 51190, 50994, 59795, 53906, 50968, 52069, 51789, 51486, 78986, 50986, 51174, 50998, 50978, 51190, 50994, 56136, 52658, 51349, 50821, 50999, 51692, 65069, 59734, 50994, 59795, 50808, 54585, 51029, 51976, 53611, 57772, 53103, 51131, 50978, 68103, 50998, 50978, 50913, 50836, 51190, 52492, 50450, 50913, 67344, 78622, 50456, 51349, 51045, 67519, 51131, 50978, 50986, 51174, 50913, 53672, 67308, 50461, 51565, 50833, 54281, 51274, 51374, 51274, 50965, 52151, 50973, 52069, 50951, 52071, 50899, 52071, 50913, 53672, 51049, 56095, 50420, 51574, 51542, 51846, 51542, 50960, 51381, 50929, 51542, 50913, 50840, 51190, 52492, 50421, 55148, 52528, 50422, 53541, 52916, 50426, 51565, 51472, 50903, 59734, 50994, 57772, 64222, 51615, 52431, 50432, 51374, 51138, 50913, 53243, 67308, 58711, 51661, 51910, 51661, 51574, 50974, 51846, 50838, 50960, 51166, 57662, 50913, 53345, 51049, 56095, 50444, 51606, 51221, 50913, 71074, 78516, 50450, 51574, 50974, 51846, 50838, 50960, 51166, 57662, 50913, 50840, 71005, 50454, 51789, 54143, 50456, 51374, 51030, 51374, 51030, 50913, 53345, 56558, 56159, 50458, 53389, 68085, 54468, 51496, 71869, 68103, 50998, 50978, 50947, 50978, 50913, 53345, 55023, 61531, 71622, 50415, 52133, 56329, 52033, 57232, 53181, 52179, 58060, 52071, 50913, 50840, 51190, 52492, 50426, 50968, 52069, 50986, 51174, 50998, 50978, 50947, 58831, 50840, 71005, 50431, 50913, 54937, 51349, 50821, 50999, 51692, 65069, 78516, 54585, 51300, 50913, 53672, 51049, 56095, 50443, 50913, 55489, 68103, 50998, 50978, 50947, 50978, 51190, 52492, 50450, 53541, 76942, 71074, 78622, 50455, 50913, 54166, 51349, 51045, 53541, 51748, 67519, 50986, 51174, 50947, 65220, 67308, 50457, 51615, 51748, 50460, 51606, 61243, 50913, 50887, 54281, 51196, 50965, 52151, 50973, 52069, 50951, 52071, 50899, 52071, 51565, 52423, 51049, 56095, 50419, 50913, 54402, 51574, 51542, 51846, 51542, 50960, 51381, 50929, 51542, 51190, 52492, 50425, 52033, 55856, 50913, 54818, 51565, 51295, 50903, 78622, 50431, 50913, 50840, 53782, 67308, 50437, 50913, 50840, 58711, 51661, 51910, 51661, 51574, 50974, 51846, 50838, 50960, 51166, 57662, 70718, 50443, 50913, 55489, 50903, 78516, 50445, 51606, 54211, 50449, 50913, 55268, 51574, 50974, 51846, 50838, 50960, 51166, 57662, 71005, 50455, 50913, 54166, 51374, 51030, 51374, 51030, 66871, 56159, 50459, 52133, 77898, 50460, 53389, 54270, 50461, 51789, 51748, 50913, 50840, 54468, 51496, 71869, 51131, 51006, 68103, 50947, 50978, 50998, 66667, 55023, 61531, 71622, 50415, 53615, 66179, 50913, 54507, 50876, 52071, 51190, 52492, 50425, 50913, 54818, 50968, 52069, 50998, 51006, 50986, 51174, 50947, 50892, 71005, 50431, 53615, 55748, 53810, 51349, 50821, 50999, 51692, 65069, 78516, 50437, 50913, 50887, 54585, 51029, 70718, 50440, 51656, 78927, 50443, 50913, 54400, 68103, 50998, 51006, 50947, 50978, 51190, 52492, 50449, 50913, 50840, 51955, 78622, 50451, 53615, 60233, 50913, 54166, 51349, 51045, 50986, 51174, 50998, 51006, 50947, 65220, 67308, 54468, 51496, 50913, 53345, 51049, 56095, 61683, 57911, 59375, 75987, 50887, 51190, 52492, 53523, 51077, 50916, 74114, 51077, 50913, 67343, 59734, 51035, 52406, 50608, 52209, 51349, 54976, 53345, 55629, 58290, 59210, 54360, 51552, 69236, 50947, 51142, 50998, 61350, 53345, 51049, 56095, 50444, 52012, 51365, 50913, 67343, 78516, 50445, 53615, 53068, 50986, 51051, 50998, 51006, 78962, 50913, 50840, 71005, 50456, 51349, 77384, 53345, 67308, 59373, 51362, 50871, 52151, 50877, 52069, 50902, 52071, 50899, 52071, 53092, 50838, 51131, 51079, 50960, 51484, 50970, 60745, 55023, 50812, 57387, 56691, 58315, 53615, 65597, 53541, 60237, 50417, 51881, 52916, 50418, 51743, 64880, 56063, 50836, 51190, 52492, 50426, 51131, 51376, 50960, 51484, 66980, 50913, 50840, 71005, 50432, 51910, 53540, 53345, 61319, 59734, 50994, 54592, 50608, 57320, 51596, 51043, 58711, 51343, 53092, 58543, 53345, 51049, 56095, 50444, 51131, 51006, 59638, 71658, 50913, 50840, 51190, 52492, 50445, 51789, 51709, 50449, 50913, 50840, 51955, 59734, 51035, 52406, 50608, 61250, 51596, 51337, 50913, 54166, 51910, 70146, 67308, 50460, 55148, 56599, 53541, 55490, 50461, 50913, 50840, 54281, 53177, 50312, 52151, 50973, 52069, 50931, 52071, 50899, 52071, 51606, 51445, 51574, 51079, 51846, 51079, 69947, 77661, 70718, 50415, 52033, 52503, 50419, 50913, 71417, 56159, 50425, 50913, 53548, 53615, 56088, 78622, 50427, 65813, 51574, 51079, 51846, 51079, 77661, 50431, 50913, 53810, 51374, 56702, 67308, 50437, 50913, 50840, 58711, 51343, 70718, 50443, 51574, 55200, 51846, 50892, 50970, 58831, 67343, 59734, 50994, 54592, 50608, 58953, 50960, 58369, 50913, 50887, 71005, 50456, 51374, 54976, 53345, 67308, 54281, 51274, 50899, 51481, 50861, 51481, 50906, 51481, 50968, 51481, 51246, 51803, 50801, 55023, 50812, 57387, 53963, 58315, 53615, 53223, 50960, 54829, 51190, 52492, 50421, 52033, 63712, 51615, 63712, 51863, 58728, 50426, 50998, 51447, 60483, 52406, 50608, 50841, 51532, 52658, 51374, 69266, 52919, 50861, 52919, 50906, 52919, 50968, 52919, 50929, 51318, 65069, 78516, 57124, 51552, 70718, 50444, 51789, 51645, 51574, 51680, 53615, 54726, 56159, 50450, 51246, 51749, 50903, 78622, 50453, 51596, 52482, 50456, 51727, 50890, 50960, 51824, 50998, 51365, 50929, 51376, 50801, 67308, 50461, 52671, 51449, 54281, 51496, 70718, 50415, 53615, 52761, 50960, 51466, 50998, 50932, 50929, 51330, 51190, 52492, 51768, 78622, 50432, 51374, 50840, 51246, 51852, 50801, 55629, 50994, 54592, 50608, 50841, 57124, 50896, 68354, 74963, 69695, 70718, 50444, 51246, 52782, 50903, 78516, 50450, 51727, 51173, 50960, 51254, 65026, 69695, 53615, 51406, 61247, 65095, 67308, 50461, 53100, 54270, 54468, 51496, 51131, 51803, 50801, 55023, 60322, 52127, 50420, 52033, 73728, 51317, 54829, 51190, 52492, 50426, 50998, 51447, 53615, 51239, 61247, 50432, 51349, 50821, 50929, 51318, 65069, 78516, 50433, 51615, 69103, 54360, 51029, 70718, 50444, 52012, 51680, 50852, 53869, 54592, 50608, 52725, 51131, 51749, 50903, 78622, 50453, 51863, 59189, 50456, 51374, 51045, 51317, 51824, 50998, 51365, 50929, 51376, 51064, 79198, 67308, 54468, 51496, 52052, 51151, 70718, 50415, 53615, 53223, 51430, 51939, 51317, 51466, 50998, 50932, 50929, 51330, 51064, 51174, 51190, 52492, 50426, 51399, 51677, 50903, 59734, 51035, 52406, 50608, 52667, 51349, 50882, 50951, 51680, 51131, 51852, 50801, 67308, 54585, 51552, 51317, 51432, 74963, 69695, 70718, 50444, 50906, 51542, 51131, 52782, 50903, 78516, 50445, 53615, 52725, 51317, 51254, 65026, 69695, 71005, 50456, 51349, 70146, 67308, 53447, 51496, 50900, 51481, 50916, 51481, 50871, 51481, 50877, 51481, 50970, 52063, 50801, 55023, 60322, 52127, 50415, 50947, 52063, 53615, 64301, 51292, 51884, 51039, 56159, 50426, 71658, 50947, 51174, 51292, 51376, 71005, 50427, 53615, 65416, 51743, 50359, 50411, 51532, 52658, 51349, 51196, 50900, 52919, 50916, 52919, 50871, 52919, 50877, 52919, 65069, 78516, 50433, 51656, 63034, 50435, 51881, 63034, 75282, 56095, 50444, 51444, 51753, 51190, 52492, 50450, 51131, 51481, 50903, 59734, 51035, 52406, 50608, 52881, 51844, 51650, 67308, 50457, 50970, 51484, 50947 ]
[ 0, 4688, 14899, 5175, 3495, 2214, 4246, 21979, 8669, 6, 38668, 483, 6, 8, 2236, 1021, 2678, 29, 6, 7513, 30, 21072, 8, 8669, 31391, 6496, 4, 590, 10, 20889, 9, 17235, 163, 5683, 6, 24, 18, 278, 11, 10, 204, 73, 306, 86, 6543, 8, 5, 762, 9, 163, 3694, 4, 20, 33301, 16, 33928, 8, 31612, 6, 7630, 14805, 10, 2365, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 77629, 50799, 61236, 57974, 55723, 51468, 50799, 55612, 51196, 52055, 51082, 50895, 51302, 56340, 53414, 50895, 51974, 59658, 54292, 52998, 67114, 52055, 51082, 50895, 51382, 56340, 53414, 50895, 50799, 53907, 51196, 52055, 51082, 50895, 51302, 56340, 53414, 50895, 51974, 59658, 54292, 56201, 67114, 52055, 51082, 50895, 51382, 56340, 53414, 50895, 50799, 59090, 51196, 52055, 51082, 50895, 51302, 56340, 53414, 50895, 51974, 59658, 54292, 53907, 67114, 52055, 51082, 50895, 51382, 56340, 53414, 50895, 50799, 52998, 51469, 52055, 51082, 50895, 51302, 56340, 53414, 50895, 51974, 59658, 53885, 52055, 51082, 50895, 51382, 56340, 53414, 50895, 61281, 50894, 51042, 50962, 55612, 51196, 52055, 51082, 50895, 50771, 50296, 50894, 50771, 50303, 50962, 50421, 51217, 74713, 50376, 54130, 76856, 50820, 50771, 50296, 50834, 50771, 50303, 52928, 51217, 50835, 51042, 54518, 56340, 53414, 50895, 50771, 50296, 50835, 50771, 50303, 52818, 51217, 50882, 51042, 52965, 50558, 54200, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 55381, 52998, 67114, 51217, 50882, 51042, 52965, 50558, 54200, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 54988, 51217, 50884, 51042, 54866, 56340, 53414, 50895, 50771, 50296, 50884, 50771, 50303, 50884, 61281, 50894, 51042, 50962, 53907, 51196, 52055, 51082, 50895, 50771, 50296, 50894, 50771, 50303, 50962, 50421, 51217, 74713, 50376, 54130, 76856, 50820, 50771, 50296, 50834, 50771, 50303, 52928, 51217, 50835, 51042, 54518, 56340, 53414, 50895, 50771, 50296, 50835, 50771, 50303, 52818, 51217, 50882, 51042, 52965, 50558, 54200, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 55381, 56201, 67114, 51217, 50882, 51042, 52965, 50558, 54200, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 54988, 51217, 50884, 51042, 54866, 56340, 53414, 50895, 50771, 50296, 50884, 50771, 50303, 50884, 61281, 50894, 51042, 50962, 59090, 51196, 52055, 51082, 50895, 50771, 50296, 50894, 50771, 50303, 50962, 50421, 51217, 74713, 50376, 54130, 76856, 50820, 50771, 50296, 50834, 50771, 50303, 52928, 51217, 50835, 51042, 54518, 56340, 53414, 50895, 50771, 50296, 50835, 50771, 50303, 52818, 51217, 50882, 51042, 52965, 50558, 54200, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 55381, 53907, 67114, 51217, 50882, 51042, 52965, 50558, 54200, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 54988, 51217, 50884, 51042, 54866, 56340, 53414, 50895, 50771, 50296, 50884, 50771, 50303, 50884, 61281, 50894, 51042, 50962, 56201, 51469, 52055, 51082, 50895, 50771, 50296, 50894, 50771, 50303, 50962, 50421, 51217, 74713, 50376, 54130, 76856, 50820, 50771, 50296, 50834, 50771, 50303, 52928, 51217, 50835, 51042, 54518, 56340, 53414, 50895, 50771, 50296, 50835, 50771, 50303, 52818, 51217, 50882, 51042, 52965, 50558, 54200, 77342, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 55381, 50770, 50308, 51870, 50444, 51217, 50882, 51042, 52965, 50558, 54200, 63310, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 54988, 51217, 50884, 51042, 54866, 54094, 52538, 59534, 50895, 50771, 50296, 50884, 50771, 50303, 50884, 53400, 51388, 51992, 51030, 51217, 50894, 51042, 50962, 64437, 51014, 71329, 53317, 50895, 50771, 50296, 50894, 50771, 50303, 57188, 51971, 74592, 51217, 50835, 51042, 54518, 56340, 53414, 50895, 50771, 50296, 50835, 50771, 50303, 52818, 66827, 51992, 51235, 51217, 50882, 51042, 50882, 64437, 51014, 52055, 51082, 50895, 50771, 50296, 50882, 50771, 50303, 55920, 51971, 51235, 51217, 50882, 51042, 50882, 64437, 51014, 52055, 51082, 50895, 50771, 50296, 50882, 50771, 50303, 50882, 51382, 56340, 53414, 53650, 51992, 51013, 50799, 58670, 51014, 52055, 51082, 54031, 52235, 51215, 51302, 56340, 53414, 53644, 52235, 51227, 58670, 51014, 52055, 51082, 53885, 58670, 51014, 52055, 51082, 50895, 51382, 56340, 53414, 53650, 51971, 50936, 50799, 52678, 50936, 62423, 51014, 52055, 51082, 54031, 51971, 51158, 51302, 56340, 53414, 53644, 52678, 51160, 62423, 51014, 52055, 51082, 53885, 51971, 51192, 62423, 51014, 52055, 51082, 50895, 51382, 56340, 53414, 53650, 52678, 51290, 50799, 64437, 51014, 52055, 51082, 54031, 51992, 51286, 51302, 56340, 53414, 53644, 51992, 51016, 64437, 51014, 52055, 51082, 53885, 64437, 51014, 52055, 51082, 50895, 51382, 56340, 53414, 53650, 51971, 50921, 53400, 51388, 51992, 51167, 51217, 50894, 51042, 50962, 64437, 51014, 52055, 51082, 50895, 50771, 50296, 50894, 50771, 50303, 56667, 51971, 50967, 51217, 50835, 51042, 54518, 56340, 53414, 50895, 50771, 50296, 50835, 50771, 50303, 52818, 66827, 51217, 50882, 51042, 50882, 64437, 51014, 52055, 51082, 50895, 50771, 50296, 50882, 50771, 50303, 55381, 51992, 52692, 51971, 51116, 51217, 50882, 51042, 50882, 64437, 51014, 52055, 51082, 50895, 50771, 50296, 50882, 50771, 50303, 50882, 51382, 56340, 53414, 53650, 51992, 51227, 50799, 58670, 51014, 52055, 51082, 54031, 52235, 51160, 51302, 56340, 53414, 53644, 52678, 51274, 58670, 51014, 52055, 51082, 53885, 58670, 51014, 52055, 51082, 53595, 52678, 56764, 56340, 53414, 53650, 52678, 50812, 50799, 52678, 50893, 62423, 51014, 52055, 51082, 54031, 52678, 58069, 51971, 54172, 56340, 53414, 53644, 51971, 51173, 62423, 51014, 52055, 51082, 53885, 51971, 50830, 62423, 51014, 52055, 51082, 53595, 51760, 53661, 56340, 53414, 53650, 51971, 51226, 50799, 64437, 51014, 52055, 51082, 50895, 51302, 56340, 53414, 53644, 64437, 51014, 52055, 51082, 53885, 64437, 51014, 52055, 51082, 50895, 51382, 56340, 53414, 50895, 53400, 51014, 51992, 51379, 51217, 50894, 51042, 76250, 71488, 50962, 50935, 50962, 64437, 51014, 52055, 51082, 50895, 50771, 50296, 50894, 50771, 50303, 50962, 64798, 50962, 67377, 50962, 72133, 50962, 50421, 51217, 74713, 62338, 59947, 61442, 50376, 54130, 76856, 50820, 50771, 50296, 50834, 50771, 50303, 50834, 64798, 50834, 67377, 50834, 72133, 52928, 51971, 51215, 51217, 50835, 51042, 60722, 59947, 61442, 54617, 56340, 53414, 50895, 50771, 50296, 50835, 50771, 50303, 50835, 64798, 50834, 67377, 50834, 72133, 53063, 51019, 51014, 51217, 50882, 51042, 65894, 71488, 50962, 50935, 50962, 64437, 51014, 52164, 54200, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 50882, 64798, 50962, 67377, 50962, 72133, 59266, 51992, 62789, 51019, 51014, 51971, 51013, 51217, 50882, 51042, 65894, 59947, 61442, 50834, 64437, 51014, 52164, 54200, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 50882, 64798, 50834, 67377, 50834, 72133, 53057, 51217, 50884, 51042, 69543, 71488, 50962, 50935, 56106, 56340, 53414, 50895, 50771, 50296, 50884, 50771, 50303, 50884, 64798, 50962, 67377, 50962, 72133, 76336, 51217, 74713, 62338, 59947, 61442, 50834, 50771, 50296, 50834, 50771, 50303, 50834, 64798, 50834, 67377, 50834, 72133, 50834, 53870, 51014, 51992, 51427, 51751, 50894, 51042, 50962, 50979, 71488, 50962, 50935, 50962, 58670, 51014, 52055, 51082, 50895, 50771, 50295, 50894, 50771, 50303, 50962, 80016, 50962, 67377, 50962, 72133, 50962, 50421, 51751, 74713, 63431, 59947, 61442, 50376, 54130, 76856, 50820, 50771, 50295, 50834, 50771, 50303, 50834, 80016, 50834, 67377, 50834, 72133, 52928, 52235, 51160, 51751, 50835, 51042, 50835, 50979, 59947, 61442, 54617, 56340, 53414, 50895, 50771, 50295, 50835, 50771, 50303, 50835, 80016, 50834, 67377, 50834, 72133, 53063, 51105, 51014, 51751, 50882 ]
[ 0, 250, 765, 6, 20425, 15855, 2125, 19, 5175, 4785, 6, 4246, 10, 13305, 816, 34879, 11, 10, 1769, 27841, 139, 20889, 4, 20, 2214, 16, 11, 5, 762, 9, 230, 10431, 538, 8, 34, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 33215, 16739, 9, 274, 119, 6, 163, 43531, 6, 230, 6, 230, 10431, 6, 8, 163, 43531, 401, 4, 20, 6711, 7630, 6568, 10, 25306, 8, 2829, 2933, 5466, 150, 6780, 10, 1472, 9, 11098, 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 ]	[ 67004, 62291, 66920, 51097, 67004, 50997, 51671, 51040, 51313, 50906, 55126, 50877, 52688, 50906, 55544, 50877, 52718, 50906, 51097, 56415, 51097, 55881, 51243, 50989, 55126, 50965, 52688, 50989, 55544, 50871, 52718, 50956, 59124, 50989, 51097, 54197, 51243, 56207, 55544, 50906, 52718, 50876, 51097, 56415, 51097, 55435, 51243, 50956, 58187, 51040, 57937, 50906, 51244, 59130, 51243, 50906, 58187, 51028, 51712, 50326, 55544, 50876, 60472, 52718, 51028, 51712, 50326, 61112, 50876, 52985, 50906, 64369, 62214, 51028, 50838, 55881, 51243, 50906, 51911, 50322, 55126, 51147, 52688, 50876, 52019, 50322, 55544, 50931, 52718, 51028, 78603, 61112, 50876, 52985, 50906, 51712, 50322, 62214, 50877, 50838, 54197, 51243, 50876, 55126, 51028, 52688, 51001, 74992, 55544, 50876, 64079, 52718, 50931, 51712, 50328, 61112, 51001, 52985, 51028, 64369, 62214, 50876, 50838, 55435, 51243, 50906, 76452, 50995, 57340, 52688, 50906, 71277, 51097, 59409, 52718, 51028, 51712, 50326, 51244, 75795, 52985, 50906, 56711, 50965, 50838, 59130, 75286, 51911, 50326, 58187, 51378, 71277, 52019, 50329, 55544, 51050, 65348, 52718, 51378, 52019, 50322, 51244, 51399, 56391, 51062, 52985, 51360, 52019, 50326, 56711, 51399, 50838, 54868, 72169, 51911, 50327, 60726, 51315, 52688, 51120, 64535, 52019, 50330, 55544, 51360, 51260, 50329, 52718, 51324, 70062, 51244, 51146, 56391, 51399, 52985, 51120, 52019, 50327, 56711, 50999, 50838, 62856, 55126, 50999, 52688, 51050, 71277, 51712, 50327, 55544, 51378, 57777, 65505, 52718, 51176, 78172, 51712, 50329, 56391, 50902, 74984, 52985, 51360, 52019, 50317, 74992, 56711, 50973, 65505, 50838, 58066, 64924, 51911, 50322, 55126, 50931, 52688, 51279, 65521, 52019, 50322, 55544, 51147, 52718, 51378, 51244, 51028, 52019, 50325, 56391, 51147, 52985, 51028, 51712, 50322, 56711, 50973, 58903, 50838, 54868, 51243, 50989, 64924, 55126, 51114, 52688, 50989, 64369, 55544, 50871, 67646, 52718, 50989, 52019, 50325, 56391, 51114, 52985, 51040, 79018, 56711, 51114, 50838, 58066, 51243, 50899, 60379, 55126, 50916, 67646, 52688, 50899, 64369, 55544, 51040, 67646, 52718, 51086, 52019, 50325, 56391, 51114, 52985, 50899, 79018, 56711, 51114, 50838, 57497, 51243, 51028, 55126, 50931, 52688, 50871, 78603, 55544, 50989, 57643, 52718, 50637, 50965, 52019, 50324, 68861, 50637, 50444, 50637, 50931, 57060, 50637, 50450, 50637, 51040, 75514, 70184, 50636, 50456, 50636, 50931, 56517, 50636, 59130, 51243, 51086, 51911, 50329, 67943, 50637, 50420, 51146, 52688, 51399, 51764, 50301, 51097, 50428, 51405, 56789, 51399, 61924, 51405, 53998, 51220, 52718, 50989, 51244, 50999, 56391, 51147, 52985, 51114, 56711, 50931, 50838, 56310, 50995, 56040, 52019, 50322, 55544, 50931, 52718, 50989, 51244, 51114, 59124, 51028, 51097, 58526, 50995, 53337, 52019, 50322, 55544, 50931, 52718, 50989, 51244, 51114, 59124, 51028, 51097, 58526, 55174, 51040, 55174, 50871, 53478, 51028, 52826, 50796, 62291, 66920, 51097, 67004, 50997, 51671, 51040, 51313, 50906, 55126, 50877, 52688, 50906, 55544, 50877, 52718, 50906, 51097, 56415, 51097, 55881, 51243, 50989, 55126, 50965, 52688, 50989, 55544, 50871, 52718, 50956, 59124, 50989, 51097, 54197, 51243, 56207, 55544, 50906, 52718, 50876, 51097, 56415, 51097, 55435, 51243, 50956, 58187, 51040, 57937, 50906, 51244, 59130, 51243, 50906, 58187, 51028, 51712, 50326, 55544, 50876, 60472, 52718, 51028, 51712, 50326, 61112, 50876, 52985, 50906, 64369, 62214, 51028, 50838, 55881, 51243, 50906, 51911, 50322, 55126, 51147, 52688, 50876, 52019, 50322, 55544, 50931, 52718, 51028, 78603, 61112, 50876, 52985, 50906, 51712, 50322, 62214, 50877, 50838, 54197, 51243, 50876, 55126, 51028, 52688, 51001, 74992, 55544, 50876, 64079, 52718, 50931, 51712, 50328, 61112, 51001, 52985, 51028, 64369, 62214, 50876, 50838, 55435, 51243, 50906, 76452, 50995, 57340, 52688, 50906, 71277, 51097, 59409, 52718, 51028, 51712, 50326, 51244, 75795, 52985, 50906, 56711, 50965, 50838, 59130, 75286, 51911, 50326, 58187, 51378, 71277, 52019, 50329, 55544, 51050, 65348, 52718, 51378, 52019, 50322, 51244, 51399, 56391, 51062, 52985, 51360, 52019, 50326, 56711, 51399, 50838, 54868, 72169, 51911, 50327, 60726, 51315, 52688, 51120, 64535, 52019, 50330, 55544, 51360, 51260, 50329, 52718, 51324, 70062, 51244, 51146, 56391, 51399, 52985, 51120, 52019, 50327, 56711, 50999, 50838, 62856, 55126, 50999, 52688, 51050, 71277, 51712, 50327, 55544, 51378, 57777, 65505, 52718, 51176, 78172, 51712, 50329, 56391, 50902, 74984, 52985, 51360, 52019, 50317, 74992, 56711, 50973, 65505, 50838, 58066, 64924, 51911, 50322, 55126, 50931, 52688, 51279, 65521, 52019, 50322, 55544, 51147, 52718, 51378, 51244, 51028, 52019, 50325, 56391, 51147, 52985, 51028, 51712, 50322, 56711, 50973, 58903, 50838, 54868, 51243, 50989, 64924, 55126, 51114, 52688, 50989, 64369, 55544, 50871, 67646, 52718, 50989, 52019, 50325, 56391, 51114, 52985, 51040, 79018, 56711, 51114, 50838, 58066, 51243, 50899, 60379, 55126, 50916, 67646, 52688, 50899, 64369, 55544, 51040, 67646, 52718, 51086, 52019, 50325, 56391, 51114, 52985, 50899, 79018, 56711, 51114, 50838, 57497, 51243, 51028, 55126, 50931, 52688, 50871, 78603, 55544, 50989, 57643, 52718, 50637, 50965, 52019, 50324, 68861, 50637, 50444, 50637, 50931, 57060, 50637, 50450, 50637, 51040, 75514, 70184, 50636, 50456, 50636, 50931, 56517, 50636, 59130, 51243, 51086, 51911, 50329, 67943, 50637, 50420, 51146, 52688, 51399, 51764, 50301, 51097, 50428, 51405, 56789, 51399, 61924, 51405, 53998, 51220, 52718, 50989, 51244, 50999, 56391, 51147, 52985, 51114, 56711, 50931, 50838, 56310, 50995, 56040, 52019, 50322, 55544, 50931, 52718, 50989, 51244, 51114, 59124, 51028, 51097, 58526, 50995, 53337, 52019, 50322, 55544, 50931, 52718, 50989, 51244, 51114, 59124, 51028, 51097, 58526, 55174, 51040, 55174, 50871, 53478, 51028, 52826, 50796, 62291, 66920, 51097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 33928, 8, 33558, 5175, 1619, 2214, 19, 3495, 16882, 6, 4246, 10, 18558, 6, 31391, 1672, 9590, 6, 3459, 8669, 6, 13305, 6, 8, 228, 438, 4781, 2088, 6757, 6, 70, 447, 561, 7, 1045, 10, 15352, 30054, 8, 17627, 17274, 5466, 6, 19, 5, 33215, 16739, 3676, 406, 6, 1918, 406, 6, 211, 119, 406, 6, 8, 272, 406, 1271, 7, 5, 12298, 619, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 20902, 12447, 1001, 20889, 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 ]	[ 57739, 72721, 50810, 51132, 50910, 52842, 54352, 51239, 62238, 66178, 55429, 51129, 51544, 53461, 58032, 51842, 50434, 50852, 54114, 51614, 51535, 51181, 51413, 52364, 51627, 53552, 51129, 50442, 52008, 50446, 51842, 51899, 51139, 50908, 56403, 73966, 51774, 50867, 51338, 50833, 53165, 55642, 51239, 50908, 50799, 51842, 50418, 50852, 58115, 51774, 50857, 51338, 50833, 53165, 54220, 51129, 51544, 53461, 58032, 51842, 50434, 51774, 50822, 51338, 50925, 53165, 57444, 54114, 51614, 50981, 51181, 50943, 52364, 50932, 53552, 51129, 50442, 52008, 50446, 60347, 51515, 50813, 79957, 52842, 50933, 54680, 50908, 56403, 73966, 52008, 51755, 51239, 62238, 50852, 58115, 51515, 50857, 51132, 50836, 52842, 54220, 51129, 51544, 53461, 58032, 51842, 50434, 51515, 50857, 51132, 50897, 52842, 57444, 54114, 51614, 51043, 51181, 51159, 52364, 51309, 53552, 51129, 50442, 52008, 50446, 51515, 50857, 52842, 50827, 51842, 50448, 51614, 50867, 52364, 53996, 51774, 51233, 51338, 51194, 53165, 51277, 54680, 50908, 56403, 73966, 51515, 50862, 51132, 50840, 52842, 54352, 51239, 50908, 50799, 51842, 50418, 50852, 58115, 51416, 53330, 54953, 52585, 50836, 52008, 50430, 51842, 50434, 54785, 51675, 52977, 51490, 50852, 50928, 51570, 51129, 50442, 52008, 50446, 60347, 52008, 56403, 73966, 52008, 51755, 51239, 62238, 50852, 58115, 51515, 51134, 51132, 51141, 54775, 51381, 51859, 51381, 58539, 51544, 53461, 58032, 51842, 50434, 50852, 54114, 51614, 51115, 51181, 51417, 52789, 51627, 51914, 51627, 53552, 51129, 50442, 52008, 50446, 51842, 51899, 51139, 50908, 56403, 73966, 51774, 50867, 51338, 50833, 52901, 50864, 52301, 56081, 51239, 50908, 50799, 51842, 50418, 50852, 58115, 51774, 50857, 51338, 50833, 52901, 50864, 52301, 54220, 51129, 51544, 53461, 58032, 51842, 50434, 51774, 50857, 51338, 50925, 52901, 50827, 52301, 51051, 50852, 54114, 51614, 51109, 51181, 50943, 52789, 50932, 51914, 50932, 53552, 51129, 50442, 52008, 50446, 60347, 51515, 50862, 51132, 51162, 54775, 50933, 51859, 56850, 51139, 50908, 56403, 73966, 52008, 51755, 51239, 62238, 50852, 58115, 51515, 50813, 51132, 50828, 54775, 50864, 51859, 55181, 51129, 51544, 53461, 58032, 51842, 50434, 51515, 50857, 51132, 50925, 54775, 50864, 51859, 51142, 50852, 54114, 51614, 51043, 51181, 51056, 52789, 51309, 51914, 51242, 53552, 51129, 50442, 52008, 50446, 51515, 50844, 54775, 50827, 51859, 50912, 51842, 50448, 51614, 50857, 52789, 50864, 51914, 53567, 51774, 51212, 51338, 51100, 52901, 51309, 52301, 51309, 54680, 50908, 56403, 73966, 51515, 50862, 51132, 50840, 54775, 50864, 51859, 54352, 51239, 50908, 50799, 51842, 50422, 51910, 55190, 52917, 51416, 51177, 50434, 52327, 51058, 52584, 50942, 53552, 59445, 51808, 53040, 51515, 51242, 51773, 50892, 51132, 51159, 51842, 50446, 51929, 53140, 51774, 51328, 52027, 51242, 51857, 50943, 53552, 57950, 52435, 50827, 76308, 51290, 53552, 62238, 50852, 58115, 51526, 52217, 54953, 53165, 51277, 52364, 51277, 52842, 51277, 51322, 50893, 51262, 74742, 53461, 58032, 51842, 50434, 51526, 50897, 53165, 50864, 52364, 50825, 52842, 50825, 51256, 50893, 51262, 56192, 54114, 51137, 51003, 53552, 51129, 50442, 52008, 50446, 60347, 51132, 51095, 51250, 51242, 54680, 50908, 56403, 73966, 51727, 50873, 51195, 54036, 51833, 50908, 50799, 51262, 53309, 51239, 62238, 50852, 58115, 51256, 52744, 54953, 53165, 51277, 52364, 51277, 52842, 50838, 51366, 50893, 51195, 54265, 53461, 58032, 51842, 50434, 51526, 50897, 53165, 50825, 52364, 50825, 52842, 50825, 51256, 50859, 51195, 55476, 54114, 51132, 51100, 51209, 51173, 53552, 51129, 50442, 52008, 50446, 51526, 50925, 51256, 50859, 60347, 51727, 50943, 53165, 50864, 52364, 50864, 52842, 50864, 51366, 51173, 51250, 54494, 51139, 50908, 56403, 51129, 50457, 51322, 71208, 52008, 54468, 50897, 51451, 51016, 51350, 54036, 51239, 62238, 66178, 55429, 54953, 53165, 51277, 52673, 51277, 52277, 51277, 51664, 51158, 51195, 53065, 53461, 58032, 51842, 50434, 51349, 50925, 53165, 50864, 52673, 50825, 52277, 50825, 51451, 54250, 50928, 54360, 51267, 51350, 54036, 51239, 51129, 50442, 52008, 50446, 60347, 51844, 51221, 51195, 51097, 54680, 50908, 56403, 73966, 77773, 57936, 50908, 50799, 51350, 54355, 51239, 62238, 50852, 58115, 51451, 52189, 54953, 53165, 51277, 52673, 51277, 53408, 51277, 51912, 51215, 51195, 74742, 53461, 58032, 51842, 50434, 51684, 50897, 53165, 50864, 52673, 50864, 53408, 50864, 51451, 50830, 51195, 56707, 50928, 54585, 51178, 51322, 51173, 51350, 53095, 51239, 51129, 50442, 52008, 50446, 51684, 50925, 51451, 50952, 51262, 51559, 52763, 51338, 50943, 53165, 50864, 52673, 50864, 53408, 50864, 52000, 51158, 51195, 54494, 51139, 50908, 56403, 73966, 51664, 50952, 52008, 55556, 50917, 51830, 51290, 53552, 62238, 50852, 58115, 51195, 51539, 54953, 52364, 51277, 52842, 51277, 52277, 51277, 52468, 51215, 51262, 53111, 53461, 58032, 51842, 50434, 51526, 50942, 52364, 50825, 52842, 50825, 52277, 50825, 51830, 50858, 51195, 56707, 54114, 51132, 51100, 51355, 53877, 51239, 51129, 50442, 52008, 50446, 51526, 50925, 60347, 51727, 51003, 51250, 51212, 54680, 50908, 56403, 73966, 51262, 54036, 51833, 50908, 54309, 50897, 51223, 54355, 51239, 62238, 50852, 58115, 51830, 55417, 54953, 55348, 51277, 52364, 51277, 52842, 51277, 51664, 51175, 51195, 62647, 53461, 58032, 51842, 50434, 51416, 50812, 55348, 50825, 52364, 50825, 52842, 50825, 51830, 50940, 51223, 54778, 54114, 52286, 51290, 51262, 53933, 51239, 51129, 50442, 52008, 50446, 51137, 50925, 60347, 51338, 50943, 55348, 50864, 52364, 50864, 52842, 50864, 51830, 51173, 51195, 51212, 54680, 50908, 56403, 73966, 51664, 52536, 51223, 50857, 52008, 52894, 53097, 51239, 62238, 66178, 55429, 54953, 53165, 51277, 52364, 51277, 52842, 51277, 52350, 51277, 51355, 62647, 53461, 58032, 51842, 50434, 51515, 50813, 51132, 50897, 53165, 50864, 52364, 50864, 52842, 50864, 52350, 50864, 51543, 57516, 54114, 51614, 51101, 51181, 51159, 51355, 51177, 53552, 51129, 50442, 52008, 50446, 51515, 50867, 79641, 51842, 50448, 51614, 54185, 51774, 51337, 51338, 51178, 51195, 51177, 54680, 50908, 56403, 73966, 51515, 50854, 51132, 50917, 51262, 53933, 51833, 50908, 51755, 51239, 59136, 52327, 50867, 51416, 53425, 51808, 50834, 53822, 50838, 53165, 50838, 52364, 50838, 52842, 50838, 51195, 51312, 50913, 58245, 51773, 51775, 50434, 51416, 50925, 53822, 50825, 53165, 50825, 52364, 50825, 52842, 51833, 55379, 51929, 51775, 51132, 51110, 51262, 53933, 51239, 59843, 52673, 56453, 51338, 50942, 52842, 54352, 51833, 73259, 51515, 51534, 50450, 51857, 50943, 55169, 50827, 51729, 63445, 53671, 60535, 53822, 65241, 55907, 50827, 55556, 50812, 51256, 50807, 61470, 54609, 52826, 53552, 62238, 66178, 55429, 54953, 53165, 51277, 52364, 51277, 52842, 50838, 51322, 51175, 51195, 53065, 53461, 58032, 51842, 50434, 51526, 50897, 53165, 50864, 52364, 50825, 52842, 50825, 51256, 61363, 54114, 51137, 50914, 51262, 53309, 51239, 51129, 50442, 52008, 50446, 60347, 51132, 51110, 53165, 50933, 52364, 50933, 52277, 50933, 51195, 51212, 54680, 50908, 56403, 73966, 51727, 50897, 51262, 53309, 51833, 50908, 51755, 51239, 62238, 50852, 58115, 51256, 55110, 54953, 53165, 51277, 52364, 51277, 52842, 50838, 51366, 51173, 51195, 76193, 53461, 58032, 51842, 50434 ]
[ 0, 250, 15352, 30054, 3495, 1619, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 81, 9756, 8669, 6, 13305, 6, 21072, 6, 24896, 6, 8, 6755, 12547, 4, 8504, 11, 5, 762, 9, 230, 3694, 19, 10, 7212, 20889, 9, 12312, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3905, 10, 33215, 16739, 9, 272, 6, 230, 119, 6, 12608, 73, 387, 428, 6, 8, 1918, 406, 428, 245, 4, 20, 4069, 9, 9571, 8, 5, 17627, 17274, 6711, 1045, 10, 33558, 8, 19448, 5466, 1328, 42, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50799, 61236, 57974, 55723, 69749, 51144, 51313, 50461, 51512, 52121, 69296, 51717, 53519, 56910, 52437, 52709, 54777, 53519, 60315, 50816, 52210, 57473, 53312, 53519, 51585, 70527, 51945, 50420, 62506, 52389, 52922, 52767, 50909, 55167, 50909, 53415, 70284, 53753, 50909, 53825, 53905, 51125, 53783, 50909, 55876, 50939, 54276, 50909, 51790, 53462, 53889, 53902, 51308, 52222, 50461, 51275, 52071, 61310, 51945, 51435, 52151, 53519, 58249, 52437, 52709, 54259, 53519, 52424, 50816, 52210, 57473, 52728, 70284, 54771, 70676, 50845, 55374, 52392, 50799, 73869, 51047, 51847, 51945, 50420, 51070, 52670, 51298, 54523, 52922, 52767, 51125, 52446, 50691, 50302, 51148, 50909, 53757, 52210, 50939, 53562, 57473, 59092, 53702, 55374, 57093, 54035, 53889, 50818, 50799, 56984, 51115, 51144, 51662, 51512, 51518, 51153, 51518, 52709, 51218, 53481, 51141, 50909, 64391, 52209, 73869, 51115, 51837, 51141, 57473, 51141, 62434, 52210, 50909, 55260, 70284, 50981, 52381, 50943, 52709, 67064, 52961, 50872, 50873, 50799, 50691, 50302, 51295, 51561, 51939, 51099, 51486, 51153, 51422, 53629, 51218, 55374, 51141, 50847, 64739, 62506, 52389, 52922, 52767, 70676, 51295, 51837, 51218, 53519, 51141, 62434, 52396, 50691, 50295, 51097, 51516, 50943, 53629, 50889, 53462, 53889, 50818, 50799, 63583, 51353, 51198, 51422, 51144, 51692, 51308, 51422, 52353, 51218, 55374, 57394, 52209, 51948, 51218, 52709, 51141, 62434, 52396, 51435, 50943, 52353, 50889, 50799, 50691, 50292, 51714, 51280, 52071, 51232, 51714, 51099, 52069, 51489, 51991, 51837, 51991, 50420, 62506, 52389, 52922, 52896, 54393, 57725, 52210, 53926, 58138, 52053, 55037, 53926, 50893, 53664, 60075, 53889, 50818, 50799, 70284, 53849, 51720, 53090, 52756, 51196, 51876, 51353, 51280, 51183, 51144, 51183, 51512, 64250, 52437, 51061, 67969, 68230, 62483, 52767, 51070, 52896, 52817, 50980, 51280, 51183, 51144, 51183, 51512, 51183, 50816, 52396, 54467, 54070, 52349, 52756, 51356, 60603, 51047, 51561, 51047, 51144, 51047, 51512, 51047, 51070, 53070, 51070, 53896, 51061, 67969, 68230, 52972, 52922, 52767, 51070, 52896, 52817, 51016, 51280, 51047, 51561, 51047, 51144, 51047, 51512, 51047, 50816, 52396, 54467, 55764, 52756, 51896, 77278, 60603, 51145, 51198, 51145, 51144, 51145, 51512, 63346, 52437, 51061, 67969, 68230, 62483, 52767, 51070, 52896, 52817, 51160, 51280, 51145, 51198, 51145, 51144, 51145, 51512, 51145, 50816, 52396, 54467, 51428, 52349, 53527, 51226, 78323, 51293, 51847, 51145, 51144, 51145, 51512, 51145, 51070, 53070, 51070, 53896, 54467, 51977, 51061, 67969, 68230, 52972, 52922, 52767, 51070, 52896, 51847, 51145, 51144, 51145, 51512, 51145, 50992, 52504, 52210, 50939, 55125, 50909, 55670, 50992, 51675, 77278, 59649, 51714, 51280, 51047, 51144, 51047, 51512, 60881, 52437, 53918, 51227, 51061, 67969, 68230, 62483, 52767, 51070, 52896, 54467, 51013, 51280, 51183, 51144, 51183, 51512, 51183, 50816, 52396, 52756, 55732, 52349, 53527, 51896, 51706, 51675, 70527, 51183, 51099, 51183, 51308, 51183, 51070, 53070, 51070, 53896, 51061, 67969, 68230, 52972, 52922, 52767, 51070, 52896, 52817, 51055, 51706, 51183, 51561, 51183, 51099, 51183, 51308, 51183, 50816, 52396, 54324, 55345, 52756, 51655, 77278, 65364, 51183, 51198, 51183, 51144, 51183, 51308, 64250, 52437, 79204, 51061, 67969, 68230, 62483, 66518, 51257, 57265, 51257, 61193, 51257, 52767, 51257, 53332, 58039, 51257, 54288, 51257, 57320, 51257, 52600, 51706, 51183, 51198, 51183, 51144, 51183, 51308, 51183, 51257, 53754, 59797, 51257, 53905, 51257, 58829, 51257, 53239, 51257, 59484, 51257, 55354, 51257, 58560, 51257, 52396, 51257, 53756, 59671, 51257, 53545, 51257, 59163, 51257, 52349, 51257, 60427, 51257, 56419, 51257, 60634, 79204, 60603, 51183, 51232, 51183, 51099, 51183, 51153, 51183, 51439, 54261, 76226, 51439, 55926, 51439, 63180, 51439, 53576, 51439, 54018, 73435, 51439, 54477, 51439, 58405, 51439, 52870, 51439, 50834, 51089, 68054, 68230, 52972, 52922, 66518, 51439, 56710, 51439, 58734, 51439, 52209, 51439, 52941, 58039, 51439, 54606, 51439, 58414, 51439, 52565, 75825, 51280, 51183, 51232, 51183, 51099, 51183, 51153, 51183, 52238, 52538, 59797, 52238, 54905, 52238, 59808, 52238, 53239, 52238, 57728, 52238, 54255, 52238, 56038, 52238, 53533, 50964, 51073, 52403, 67940, 52403, 54781, 52403, 59644, 52403, 53173, 53664, 50938, 51555, 50917, 52403, 55164, 70215, 55055, 50458, 52138, 54370, 52138, 55971, 52138, 50884, 67896, 50806, 52756, 51196, 51986, 51077, 51876, 51353, 51280, 51183, 51144, 51183, 51512, 51183, 52138, 50820, 59504, 50992, 62641, 52221, 71719, 50965, 52722, 50416, 52138, 56572, 52138, 63266, 52138, 52944, 52138, 51833, 65587, 52138, 53109, 52138, 58990, 52138, 52670, 52936, 51196, 52138, 67861, 50932, 50992, 50981, 50909, 51097, 51061, 67969, 68230, 50812, 59858, 66518, 52138, 54974, 52138, 59277, 52138, 53031, 52138, 51833, 54949, 58039, 52138, 53439, 52138, 57892, 52138, 52904, 52817, 50980, 51722, 51346, 51280, 51183, 51144, 51183, 51512, 51183, 52138, 50891, 59504, 50992, 50889, 50909, 53030, 51044, 70483, 63806, 50440, 52138, 57502, 52138, 62971, 52138, 54189, 52138, 53796, 64807, 52138, 53430, 54467, 50865, 51567, 50938, 50872, 61815, 58451, 50974, 52358, 67128, 55055, 50456, 64584, 52756, 51356, 51986, 51077, 50872, 52347, 50312, 58846, 50838, 52622, 50965, 52722, 53870, 50800, 51280, 51047, 51561, 51047, 51144, 51047, 51512, 51047, 50979, 50889, 68100, 75998, 71873, 59858, 53070, 51105, 52153, 54949, 53896, 51105, 51054, 72924, 50872, 51333, 50992, 51097, 80040, 51061, 67969, 68230, 52972, 51044, 53518, 50837, 51361, 54949, 52896, 52817, 51016, 51722, 50889, 51280, 51047, 51561, 51047, 51144, 51047, 51512, 51047, 50979, 57858, 50915, 50992, 50889, 50909, 55107, 51044, 70483, 52254, 51180, 53430, 54467, 50893, 51567, 62872, 56144, 54558, 50312, 62431, 51079, 51762, 50876, 64109, 71597, 52756, 51896, 51986, 51591, 50979, 58736, 55798, 50312, 62707, 51166, 52358, 50928, 50965, 55044, 52288, 50923, 51280, 51145, 51198, 51145, 51144, 51145, 51512, 51145, 62197, 68100, 50992, 50914, 70389, 52358, 58010, 53098, 50927, 51054, 62197, 68100, 50992, 50914, 70389, 51061, 67969, 68230, 50812, 59858, 50837, 51361, 54949, 52896, 52817, 51160, 51722, 51116, 51280, 51145, 51198, 51145, 51144, 51145, 51512, 51145, 50848, 67949, 50995, 77569, 70389, 55901, 70483, 55177, 51180, 53430, 54467, 50795, 51567, 58580, 55808, 52347, 50312, 59985, 50972, 52358, 67128, 64109, 67038, 53527, 51226, 52170, 51204, 50848, 55808, 58469, 50312, 62431, 51166, 52622, 51028, 56121, 55708, 50894, 53646, 51293, 51847, 51145, 51144, 51145, 51512, 51145, 51017, 58521, 60057, 50805, 59858, 53070, 68724, 51017, 58736, 61942, 53284, 54949, 53896, 51228, 51054, 54467, 51977, 51567, 51623, 51017, 51003, 67907, 50992, 50995, 51061, 67969, 68230, 52972, 51044, 53518, 66731, 55044, 50432, 70676, 57045, 52938, 54949, 54034, 50847, 52729, 73869, 50805, 51847, 51145, 51144, 51145, 51512, 51145, 50992, 60353, 51013, 59504, 50992, 51013, 55901, 52616, 70676, 50805, 51228, 64708, 50938, 67615, 70284, 50849, 51105, 51054, 51017, 56144, 61815, 59985, 50923, 67920, 50691, 50295, 61121, 58541, 59863, 59863, 50893, 52358, 50928, 50799, 70284, 51264, 50945, 51055, 51876, 51151, 51280, 51047 ]
[ 0, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 15229, 30853, 19, 10, 1472, 9, 15073, 8, 9066, 2821, 16235, 4, 27901, 10, 5544, 12547, 9, 12280, 3275, 1725, 3109, 6, 3551, 139, 6, 2724, 368, 31365, 25999, 6, 17691, 28430, 6, 8, 6168, 3540, 6, 24, 3136, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 24, 22848, 10, 33215, 16739, 9, 272, 6, 274, 6, 381, 73, 534, 10431, 6, 1918, 6, 8, 3676, 6, 8216, 7, 63, 7630, 36041, 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 ]	[ 57530, 50456, 51900, 50802, 51978, 50911, 53879, 50879, 55061, 50879, 52573, 50923, 52292, 50923, 52242, 50923, 52044, 50923, 76309, 50811, 52172, 50911, 53879, 50879, 55061, 50879, 52573, 50923, 52242, 50923, 52342, 50962, 50416, 52285, 50811, 52416, 50962, 50418, 51900, 50811, 52044, 57188, 52515, 50811, 53879, 50879, 55061, 50879, 52573, 50923, 52292, 50923, 52242, 50923, 52662, 50962, 50422, 51950, 50811, 52205, 50962, 50424, 51802, 50811, 52342, 56667, 53993, 50802, 53493, 50911, 53879, 50879, 55061, 50879, 52573, 50923, 52342, 50923, 52662, 50923, 54066, 57067, 52515, 50802, 53493, 50911, 53879, 50879, 55061, 50879, 52573, 50923, 52044, 50923, 52342, 50923, 52662, 58395, 52857, 50811, 52833, 50911, 53155, 50879, 53029, 50879, 52049, 50923, 52044, 50923, 52205, 50923, 53640, 50962, 53382, 64916, 53640, 50894, 50440, 52624, 50811, 53382, 59120, 52857, 50811, 53640, 50894, 50442, 53382, 69824, 52624, 52940, 52515, 50802, 53493, 50911, 53827, 50879, 52573, 50923, 52573, 50879, 52044, 50923, 52342, 50923, 52662, 56827, 52833, 50911, 54648, 50879, 52292, 50923, 52292, 50879, 52242, 57241, 51900, 50802, 52172, 50911, 53827, 50879, 52573, 50923, 52573, 50879, 52292, 50923, 52242, 50923, 52044, 50923, 76309, 50811, 52172, 50911, 53879, 50879, 55061, 50879, 52573, 50923, 52242, 50923, 52342, 50962, 50416, 52285, 50811, 52416, 50962, 50418, 51900, 50811, 52044, 57188, 52515, 50811, 53879, 50879, 55061, 50879, 52573, 50923, 52292, 50923, 52242, 50923, 52662, 50962, 50422, 51950, 50811, 52205, 50962, 50424, 51802, 50811, 52342, 56667, 52624, 50802, 52833, 50911, 53155, 50879, 53029, 50879, 52049, 50923, 52044, 50923, 53640, 57067, 51900, 50802, 53319, 50911, 55403, 50879, 54769, 50879, 52292, 50923, 52797, 50923, 52044, 58395, 52549, 50802, 52172, 50911, 53941, 50879, 53249, 50879, 52740, 50923, 52242, 50923, 53634, 57816, 51900, 50802, 52172, 50911, 53879, 50879, 55061, 50879, 52292, 50923, 52242, 50923, 52044, 56827, 52172, 50911, 53448, 50879, 53571, 50879, 52242, 57241, 52515, 50802, 53493, 50911, 53879, 50879, 55061, 50879, 52573, 50923, 52044, 50923, 52342, 50923, 52662, 50923, 50799, 52624, 50811, 52833, 51090, 53155, 51013, 53029, 51013, 52044, 50923, 53640, 50962, 50416, 52515, 50811, 52662, 50962, 50418, 51950, 50811, 52205, 57188, 52624, 50811, 52044, 50923, 53640, 50962, 50422, 52515, 50811, 52662, 50962, 50424, 51950, 50811, 52205, 56667, 52857, 50802, 52380, 51090, 54807, 51013, 55342, 51013, 51975, 50923, 53382, 57067, 51950, 50802, 51975, 50923, 52205, 58395, 52515, 50811, 52380, 51090, 53448, 51013, 53571, 51013, 51975, 50923, 52662, 50962, 50440, 51950, 50811, 52205, 50962, 50442, 51802, 50811, 52342, 57736, 52515, 50811, 51975, 50923, 52662, 75568, 51950, 50811, 52205, 50962, 50448, 51802, 50811, 52342, 56604, 52624, 50802, 52436, 51551, 53879, 51013, 55061, 51013, 52443, 50923, 53640, 57241, 51802, 50802, 52443, 50923, 52342, 50923, 50799, 51950, 50811, 54807, 51013, 55342, 51013, 52443, 50923, 52205, 50962, 50416, 51802, 50811, 52342, 50962, 50418, 52285, 50811, 52416, 57188, 51950, 50811, 52443, 50923, 52205, 50962, 50422, 51802, 50811, 52342, 50962, 50424, 52285, 50811, 52416, 56667, 52515, 50802, 52172, 51090, 58703, 51013, 59040, 51013, 52242, 50923, 52662, 57067, 52285, 50802, 52242, 50923, 52416, 58395, 51802, 50802, 52172, 50911, 53879, 50879, 55061, 50879, 52242, 51054, 52342, 57816, 51900, 50802, 51978, 50911, 53827, 50879, 52573, 50923, 52573, 50879, 52044, 56827, 52172, 50911, 53011, 50879, 52550, 50923, 52550, 50879, 52242, 57241, 52515, 50838, 52380, 50838, 67463, 53249, 50879, 52740, 50923, 51975, 50923, 52662, 50923, 50799, 52933, 50827, 57806, 50827, 54850, 50932, 52740, 50849, 52740, 51013, 52416, 51336, 54073, 59176, 52515, 50827, 55499, 50827, 52662, 54681, 54063, 50827, 61778, 50827, 52740, 50849, 53324, 50849, 54081, 55747, 52857, 50827, 58427, 50827, 53382, 53950, 53993, 50827, 64350, 50827, 54850, 50932, 52740, 50849, 52740, 51013, 53324, 50849, 54066, 58129, 54063, 50827, 61778, 50827, 54081, 53974, 52515, 50827, 55499, 50827, 52740, 50849, 53324, 50849, 52662, 56535, 54063, 50827, 61778, 50827, 54081, 54773, 52857, 50827, 58427, 50827, 54850, 50932, 52740, 50849, 52740, 51013, 52242, 50849, 52416, 51336, 53382, 61032, 52515, 50827, 55499, 50827, 52662, 54811, 52933, 50827, 57806, 50827, 52740, 50849, 52242, 50849, 54073, 56762, 52515, 50827, 55499, 50827, 52662, 54721, 54063, 50827, 61778, 50827, 54850, 50932, 52740, 50849, 52740, 51013, 53324, 50849, 54081, 59682, 52857, 50827, 58427, 50827, 53382, 54418, 53993, 50827, 64350, 50827, 52740, 50849, 53324, 50849, 54066, 57264, 54063, 50827, 61778, 50827, 54081, 50859, 50799, 52857, 50827, 58427, 50827, 54850, 50932, 52740, 50849, 52740, 51013, 52242, 50849, 52416, 51336, 53382, 59176, 52515, 50827, 55499, 50827, 52662, 54681, 52933, 50827, 57806, 50827, 52740, 50849, 52242, 50849, 54073, 55747, 52515, 50827, 55499, 50827, 52662, 53950, 54063, 50827, 61778, 50827, 54850, 50932, 52740, 50849, 52740, 51013, 53324, 50849, 54081, 58129, 52857, 50827, 58427, 50827, 53382, 53974, 53993, 50827, 64350, 50827, 52740, 50849, 53324, 50849, 54066, 56535, 54063, 50827, 61778, 50827, 54081, 54773, 52857, 50838, 53625, 50838, 55769, 50838, 52242, 50849, 52242, 50879, 52416, 50879, 53382, 55885, 52515, 50838, 52380, 50838, 67463, 53249, 50879, 51975, 50879, 52416, 50879, 52662, 55149, 52172, 50838, 66536, 52550, 50849, 52550, 50879, 52242, 55416, 52515, 50838, 52380, 50838, 67463, 53249, 50879, 51975, 50879, 52416, 50879, 52662, 50879, 50799, 53101, 50827, 55626, 50827, 53827, 50932, 52573, 50849, 52573, 51013, 52044, 51336, 53731, 59176, 51950, 50827, 53610, 50827, 52205, 54681, 52515, 50827, 55499, 50827, 52573, 50849, 53322, 50849, 52662, 55747, 52624, 50827, 57828, 50827, 53640, 53950, 52857, 50827, 58427, 50827, 53827, 50932, 52573, 50849, 52573, 51013, 53322, 50849, 53382, 58129, 52515, 50827, 55499, 50827, 52662, 53974, 51950, 50827, 53610, 50827, 52573, 50849, 53322, 50849, 52205, 56535, 52515, 50827, 55499, 50827, 52662, 54773, 52624, 50827, 57828, 50827, 53827, 50932, 52573, 50849, 52573, 51013, 52049, 50849, 52044, 51336, 53640, 61032, 51950, 50827, 53610, 50827, 52205, 54811, 53101, 50827, 55626, 50827, 52573, 50849, 52049, 50849, 53731, 56762, 51950, 50827, 53610, 50827, 52205, 54721, 52515, 50827, 55499, 50827, 53827, 50932, 52573, 50849, 52573, 51013, 53322, 50849, 52662, 59682, 52624, 50827, 57828, 50827, 53640, 54418, 52857, 50827, 58427, 50827, 52573, 50849, 53322, 50849, 53382, 57264, 52515, 50827, 55499, 50827, 52662, 50859, 50799, 52624, 50827, 57828, 50827, 53827, 50932, 52573, 50849, 52573, 51013, 52049, 50849, 52044, 51336, 53640, 59176, 51950, 50827, 53610, 50827, 52205, 54681, 53101, 50827, 55626, 50827, 52573, 50849, 52049, 50849, 53731, 55747, 51950, 50827, 53610, 50827, 52205, 53950, 52515, 50827, 55499, 50827, 53827, 50932, 52573, 50849, 52573, 51013, 53322, 50849, 52662, 58129, 52624, 50827, 57828, 50827, 53640, 53974, 52857, 50827, 58427, 50827, 52573, 50849, 53322, 50849, 53382, 56535, 52515, 50827, 55499, 50827, 52662, 54773, 52624, 50838, 52833, 50838, 54358, 50838, 52049, 50849, 52049, 50879, 52044, 50879, 52205, 50879, 53640 ]
[ 0, 250, 15855, 1619, 2214, 19, 10, 3495, 2712, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 2342, 4467, 6, 18558, 6, 8, 3459, 9590, 4, 20, 2125, 16, 11, 230, 538, 6, 19, 10, 155, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 13259, 163, 5683, 4, 20, 16331, 33215, 16739, 9, 272, 406, 73, 387, 8, 230, 3639, 7, 5, 12298, 8, 33558, 5466, 6, 2351, 10, 15352, 30054, 8, 32076, 2365, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50628, 51018, 51034, 55239, 57974, 64864, 51584, 51158, 51284, 51158, 51034, 52036, 53233, 52430, 52903, 52626, 53454, 51567, 50896, 77932, 51304, 50896, 51897, 60008, 52944, 50872, 61709, 50830, 65420, 60375, 52641, 51584, 50805, 51011, 50967, 51284, 50805, 51897, 53031, 50872, 56754, 61056, 76058, 50807, 51384, 58785, 51437, 52742, 50872, 51060, 50850, 51060, 50909, 51060, 51133, 51060, 51897, 53114, 51584, 50849, 79103, 51468, 50446, 67115, 51468, 50449, 52075, 50914, 51468, 51034, 50927, 50967, 51733, 50914, 51897, 52944, 50872, 61709, 50830, 69357, 60375, 52641, 51584, 51100, 77932, 51284, 51100, 51897, 59277, 52037, 53182, 51690, 58785, 51437, 52742, 50872, 51060, 50850, 51060, 51007, 51060, 51011, 50967, 51897, 53114, 52075, 51192, 51733, 51192, 51468, 50446, 67115, 51468, 50448, 52886, 53413, 52137, 53478, 52735, 53082, 50449, 51468, 51034, 51722, 51933, 50953, 50967, 51394, 51933, 51897, 52944, 60001, 50939, 71352, 50830, 60375, 58092, 50929, 54381, 50947, 57480, 51064, 50880, 51186, 50967, 51897, 54974, 51032, 72149, 51067, 52726, 50847, 62690, 60878, 56880, 51437, 59051, 51563, 63982, 68823, 50939, 50991, 51007, 51060, 51271, 50991, 51897, 59144, 53019, 50950, 51180, 57013, 53729, 57915, 67115, 51468, 50448, 53019, 57795, 51468, 51034, 50847, 50818, 55543, 51072, 77750, 51897, 52944, 50847, 56808, 71352, 50800, 51596, 50840, 51606, 65958, 51437, 53109, 51789, 50942, 51565, 51620, 51606, 50914, 51596, 51048, 51186, 50991, 51897, 53031, 50847, 63073, 60878, 56088, 51437, 57514, 52182, 50807, 52315, 53912, 73237, 50939, 50967, 69357, 51271, 50967, 51897, 53114, 51555, 50905, 78041, 51468, 50446, 67115, 51468, 50449, 51752, 50914, 54120, 51097, 51722, 50807, 51468, 51034, 54120, 51204, 51752, 51294, 52626, 52829, 52137, 52644, 52225, 53753, 51722, 51016, 50964, 50967, 51394, 50807, 51394, 51362, 51897, 52944, 50868, 72662, 55023, 51437, 58990, 51555, 51631, 51019, 50967, 51182, 51650, 51041, 59277, 51567, 56217, 50868, 58269, 61056, 50809, 51304, 58028, 51437, 52742, 68623, 62562, 50909, 50967, 50953, 51060, 51897, 53114, 51555, 50849, 51182, 50849, 51468, 50446, 67115, 51468, 50449, 52075, 50889, 51468, 77668, 50991, 51733, 50889, 51897, 52944, 50868, 50830, 60001, 69196, 60375, 52641, 51555, 50901, 75718, 51182, 50901, 51897, 59277, 52037, 56217, 50868, 58269, 64278, 50818, 51690, 58028, 51437, 52742, 50868, 55914, 56696, 51019, 50967, 51897, 54905, 51733, 51111, 50442, 52075, 51111, 51180, 56453, 67115, 51284, 51161, 51468, 50448, 52036, 51592, 52430, 51422, 51584, 51161, 50449, 51468, 77851, 50991, 51897, 52944, 50872, 77017, 55023, 51437, 52641, 51686, 50923, 51011, 50967, 51897, 58245, 51606, 51138, 50431, 51565, 50805, 51827, 52605, 50872, 56754, 64278, 56088, 51437, 57514, 51789, 50812, 51565, 59646, 78871, 50850, 51060, 50909, 50967, 51133, 51060, 51897, 56819, 51752, 77291, 51789, 70035, 52315, 60835, 51596, 50830, 51468, 50446, 52202, 50952, 52161, 50823, 67115, 51468, 50449, 51752, 51294, 51789, 51009, 52137, 51422, 52225, 51452, 51468, 51034, 51752, 51933, 50964, 50991, 51897, 52944, 50868, 50830, 50939, 50830, 69196, 60375, 52641, 75718, 51897, 53031, 50868, 62690, 61056, 56880, 51437, 52742, 68623, 50939, 51112, 80142, 51019, 50967, 51897, 53114, 51284, 50805, 51468, 50445, 51584, 65052, 67115, 51468, 50449, 52626, 53849, 51468, 51034, 52036, 51801, 52430, 51295, 51567, 50914, 51567, 50889, 77932, 51304, 50889, 51304, 50914, 51897, 52944, 50872, 61709, 50830, 69196, 60375, 52641, 51584, 51177, 51011, 50967, 51284, 51177, 51897, 59277, 51612, 60307, 50872, 56754, 61056, 50809, 51384, 51003, 60375, 59051, 52430, 52335, 50438, 70084, 67265, 80142, 51133, 50967, 51897, 59692, 51567, 74971, 51304, 51043, 51468, 50446, 67115, 51468, 50449, 54339, 51803, 52184, 50807, 51468, 77851, 50991, 51811, 50807, 51897, 52944, 50979, 61709, 50830, 69196, 60375, 58990, 52037, 71783, 77750, 51690, 51194, 51897, 59277, 52792, 53182, 50979, 56754, 61056, 50809, 52487, 58785, 51437, 52742, 50979, 53006, 51060, 50909, 50967, 51011, 50967, 51897, 54905, 51926, 51221, 50442, 52290, 51221, 51180, 56453, 67115, 52735, 52826, 52886, 53413, 51468, 50449, 51468, 51034, 51612, 51486, 51186, 51112, 51384, 51486, 51897, 52944, 50872, 56808, 71352, 50830, 60375, 52641, 51438, 50803, 51788, 78537, 50991, 51897, 64640, 51563, 56274, 53019, 52686, 50872, 62690, 60878, 50809, 51292, 50803, 51563, 68957, 51437, 53439, 51438, 50950, 51788, 60958, 53718, 55197, 50437, 51438, 50952, 51067, 59826, 70084, 50939, 51112, 51007, 51112, 51720, 50967, 51897, 54905, 51563, 50800, 51292, 53247, 69051, 51064, 51052, 56453, 67115, 51292, 50823, 51032, 51014, 51468, 50449, 51468, 51034, 51438, 51009, 51067, 51029, 51186, 50991, 51897, 52944, 68651, 50939, 71352, 50830, 60375, 52641, 51612, 51121, 51271, 50967, 51384, 51121, 51897, 53031, 50872, 62690, 60878, 50809, 52075, 51159, 51733, 51159, 60375, 52742, 78871, 50939, 50967, 51007, 51060, 51720, 51650, 51041, 59692, 52037, 63322, 51690, 51060, 51468, 50446, 67115, 51468, 50448, 52430, 51662, 52626, 52140, 50449, 51468, 51034, 51584, 50889, 51584, 50914, 77932, 51284, 50889, 51284, 50914, 51897, 52944, 50872, 77017, 50830, 60375, 58990, 51567, 64131, 51011, 51060, 51304, 51100, 51897, 59277, 51612, 60307, 50872, 56754, 61056, 50809, 51384, 51003, 60375, 52742, 50872, 51060, 50850, 59192, 51060, 51133, 51650, 51041, 59692, 51567, 53999, 51304, 50845, 51468, 50446, 67115, 51468, 50449, 52626, 52720, 52735, 51422, 52225, 51662, 52290, 50943, 51468, 51034, 51722, 51227, 50964, 50991, 51926, 50943, 51897, 52944, 50868, 50830, 50939, 50830, 69196, 60375, 59768, 51555, 51095, 50425, 52075, 75262, 51019, 50991, 51733, 51178, 51897, 59277, 51783, 50896, 51612, 56217, 50868, 62690, 61056, 50809, 51384, 58028, 51437, 52742, 50868, 51060, 50939, 51060, 50909, 51060, 50953, 50967, 51897, 59144, 51555, 64990, 52075, 51100, 51733, 51100, 51468, 50446, 67115, 51468, 50449, 52036, 52337, 52430, 51717, 51584, 51933, 51468, 51034, 52037, 51790, 77932, 51690, 51790, 51897, 52944, 50872, 55219, 61056, 56880, 51437, 52641, 51011, 50991, 51897, 53031, 50872, 56754, 61056, 56880, 51437, 52742, 78871, 67265, 80142, 53729, 50803, 74533, 51133, 51060, 51897, 54905, 55543, 50823, 51438, 52284, 53729, 50811, 51292, 50823, 51468, 50446, 67115, 51064, 50823, 51468, 50448, 51563, 63816, 51468, 51034, 50947, 51300, 50945, 50991, 51897, 55916, 51438, 58823, 50872, 55219, 61056, 51049, 52641, 51011, 51060, 51897, 53031, 50872, 56754, 61056, 50809, 51287, 52418, 53442, 78871, 68650, 80142, 51133, 51060, 51897, 68954, 68619, 62843, 59484, 67115, 51468, 50449, 51468, 51034, 75414, 51897, 60008, 52944, 50872, 55219, 61056, 55023, 51437, 52641, 51011, 50967, 51897, 53031, 50872, 56754, 61056, 56880, 51437, 52742, 50872, 51060, 50850, 51060, 50909, 50967, 51133, 51650, 51041, 75164, 56453, 67115, 52886, 52096, 51468, 50449, 51468, 51034, 50927, 50967, 51897, 52944, 50872, 55219, 60878, 55023, 51437, 52641, 77932, 51897, 53031, 50872, 56754, 79368, 56880, 51437, 52742, 50872, 53006, 51060, 51007, 51060, 51011, 50967, 51897, 75164, 56453, 67115, 51468, 50449, 52137, 53849, 52735, 52096, 51468, 51034, 50953, 50967, 51897, 52944, 50847, 62690, 60878 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 980, 219, 5466, 6, 4246, 10, 13305, 6, 38668, 2236, 6, 8, 38668, 483, 816, 81, 10, 7212, 20889, 27071, 1286, 30, 41, 3459, 9590, 4, 20, 2125, 16, 11, 274, 538, 8, 204, 73, 306, 86, 6, 19, 10, 33215, 13931, 9, 274, 6, 230, 73, 717, 6, 1918, 6, 8, 211, 119, 406, 4, 20, 6711, 16, 2635, 8, 2933, 6, 7630, 14805, 10, 1472, 9, 10, 177, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51457, 51623, 51186, 51623, 56855, 51717, 55928, 51151, 54283, 64691, 51410, 56382, 51303, 50910, 51170, 60247, 51414, 50910, 51170, 51483, 50438, 51303, 60204, 51410, 57006, 51414, 50910, 51170, 68287, 51303, 50910, 77034, 51623, 51011, 51623, 55242, 51151, 54062, 64691, 52326, 56382, 51476, 50910, 51170, 60247, 51303, 50910, 51170, 51483, 50438, 51476, 64949, 51303, 50910, 51170, 51483, 50456, 51476, 50910, 74149, 51141, 50953, 51623, 55187, 51151, 55928, 51151, 54283, 64691, 51410, 56382, 51303, 50910, 51170, 60247, 51414, 50910, 51170, 51735, 50438, 51303, 60204, 51410, 57006, 51414, 50910, 51170, 51735, 50456, 51303, 50910, 77034, 51204, 50945, 51623, 54062, 51204, 50420, 51476, 56382, 51303, 50910, 51170, 60247, 51249, 50910, 51170, 51735, 50438, 51476, 51095, 51457, 51095, 54283, 64949, 51303, 50910, 51980, 51095, 51170, 51735, 55751, 62805, 51249, 50910, 50799, 51825, 51077, 51105, 51623, 53792, 64739, 52303, 56382, 51687, 50910, 51170, 60247, 51231, 50910, 51170, 51735, 50438, 51687, 60204, 52303, 57006, 51231, 50910, 51170, 51735, 55833, 57939, 51303, 50910, 53792, 50910, 52354, 51623, 53792, 51095, 50420, 51410, 56382, 51687, 50910, 51170, 51012, 55833, 58466, 51231, 50910, 51170, 51735, 53792, 51346, 50438, 51687, 60204, 52303, 50910, 51980, 50910, 55751, 57006, 51231, 50910, 51457, 50910, 51170, 51735, 54283, 57939, 51303, 50910, 51414, 50910, 55928, 50910, 74149, 51141, 51186, 51623, 55928, 64739, 51410, 56382, 51303, 50910, 51170, 60247, 51414, 50910, 51170, 74388, 51303, 60204, 51410, 70447, 51303, 50910, 51170, 51237, 56855, 57939, 51414, 50910, 55928, 50910, 66513, 51623, 51414, 51623, 51457, 51623, 51186, 51077, 54062, 66829, 55928, 58466, 55751, 51346, 50444, 54283, 57006, 52018, 50910, 55928, 62805, 51720, 57882, 51010, 61357, 51452, 51303, 51452, 51414, 51452, 51186, 53769, 53710, 69951, 51045, 51039, 57272, 52987, 55744, 51045, 51170, 55649, 51186, 50910, 53292, 56411, 52744, 51045, 51170, 56262, 51186, 50889, 52987, 63324, 52744, 69951, 51031, 51180, 68280, 53355, 55744, 60512, 68287, 51186, 50910, 53355, 55744, 51045, 66513, 51452, 51249, 51452, 51327, 51452, 51011, 50889, 52648, 56411, 53710, 69951, 75832, 52648, 55744, 57272, 52648, 52675, 51045, 51170, 58146, 53355, 53810, 77382, 52987, 67400, 52744, 51045, 51170, 56262, 51011, 55506, 52744, 69951, 51031, 51180, 51045, 52320, 60512, 68287, 51011, 55744, 51045, 61357, 51452, 51303, 51452, 51414, 51452, 50953, 53769, 53710, 69951, 51045, 51039, 57272, 52987, 55744, 51045, 51170, 55649, 65344, 52987, 56411, 52744, 51045, 51170, 51031, 55208, 50889, 52987, 63324, 52744, 69951, 51031, 51180, 68280, 53355, 55744, 60512, 68287, 65344, 53355, 55744, 51045, 66513, 51452, 51249, 51452, 51327, 51452, 50945, 50889, 52648, 56411, 53710, 69951, 75832, 52648, 55744, 57272, 53355, 55744, 51045, 51170, 55649, 73429, 52987, 53769, 52744, 51045, 51170, 51031, 53357, 55506, 52744, 69951, 51031, 51180, 51045, 50447, 53209, 53688, 52987, 59156, 60512, 68287, 50927, 55744, 51045, 73409, 51623, 51231, 51452, 51414, 51623, 51105, 50889, 52987, 51747, 53710, 69951, 51045, 50417, 52648, 52734, 53355, 55744, 57272, 53355, 55744, 51045, 51170, 55649, 64487, 53355, 57394, 52744, 51045, 51170, 56262, 51105, 55506, 52744, 69951, 51031, 51180, 51045, 52320, 60512, 68287, 64487, 53209, 55744, 51045, 66268, 51623, 51327, 51452, 51980, 51623, 50945, 50889, 53292, 56411, 53710, 69951, 75832, 53292, 55744, 57272, 52987, 55744, 51045, 51170, 55649, 73429, 53292, 67251, 52744, 51045, 51170, 51031, 53357, 55506, 52744, 69951, 55933, 52987, 55744, 68280, 53355, 55744, 60512, 68287, 73429, 52987, 51582, 75486, 52648, 50808, 66513, 51452, 51414, 51452, 51457, 51623, 51186, 50889, 53355, 62187, 53710, 69951, 75832, 53075, 55744, 57272, 52303, 55744, 51045, 51170, 55649, 51410, 51346, 51186, 56411, 52744, 51045, 51170, 56262, 51186, 55506, 52744, 69951, 55933, 53075, 55744, 68280, 52303, 55744, 60512, 68287, 51410, 50910, 51186, 55744, 51045, 66513, 51452, 51414, 51623, 51457, 51452, 51186, 53769, 53710, 69951, 75832, 53075, 55744, 57272, 51410, 55744, 51045, 51170, 55649, 52303, 51346, 51186, 56411, 52744, 51045, 51170, 56262, 51186, 63324, 52744, 69951, 55933, 53075, 55744, 68280, 51410, 50910, 51133, 59156, 60512, 68287, 51687, 57882, 51031, 61357, 51452, 51303, 51452, 51414, 51452, 51186, 53769, 53710, 69951, 51045, 51039, 57272, 52987, 55744, 51045, 51170, 55649, 51186, 50910, 52987, 56411, 52744, 51045, 51170, 56262, 51186, 50889, 52987, 52764, 52744, 69951, 61184, 52648, 52711, 53355, 55744, 68280, 53355, 59156, 60512, 68287, 51186, 55744, 51045, 66513, 51452, 51249, 51452, 51327, 51452, 51011, 50889, 52648, 56411, 53710, 69951, 75832, 52648, 55744, 57272, 53355, 55744, 51045, 51170, 55649, 77382, 52987, 67400, 52744, 51045, 51170, 56262, 51011, 55506, 52744, 69951, 51031, 51180, 51045, 52320, 60512, 68287, 51011, 55744, 51045, 61357, 51452, 51303, 51452, 51414, 51452, 50953, 53769, 53710, 69951, 51045, 51039, 60991, 53355, 53548, 52987, 55744, 51045, 51170, 55649, 65344, 52987, 56411, 52744, 51045, 51170, 51031, 55208, 50889, 52987, 63324, 52744, 69951, 51031, 51180, 68280, 53355, 52675, 60512, 51237, 50453, 53355, 54166, 65344, 53355, 55744, 51045, 66513, 51452, 51249, 51452, 51327, 51452, 50945, 50889, 52648, 56411, 53710, 69951, 75832, 52648, 55744, 57272, 53355, 55744, 51045, 51170, 55649, 73429, 52987, 53769, 52744, 51045, 51170, 51031, 53357, 55506, 52744, 69951, 51031, 51180, 51045, 50447, 53209, 53688, 52987, 59156, 60512, 68287, 50927, 55744, 51045, 73409, 51623, 51231, 51623, 51980, 51452, 51105, 50889, 52987, 56411, 53710, 69951, 51045, 53792, 75504, 53355, 55744, 57272, 53355, 55744, 51045, 51170, 55649, 64487, 53355, 57394, 52744, 51045, 51170, 56262, 51105, 55506, 52744, 69951, 51031, 51180, 51045, 52320, 60512, 51237, 55833, 53586, 64487, 53209, 50910, 56067, 50878, 54776, 52854, 51045, 53792, 50845, 66268, 51623, 51327, 51623, 51980, 51623, 50945, 50889, 53292, 50910, 54810, 50910, 53494, 50910, 54315, 56411, 53710, 69951, 51045, 53792, 71215, 53292, 50910, 54810, 50910, 53494, 50910, 54315, 55744, 57272, 52987, 50910, 56067, 50910, 54346, 50910, 53452, 55744, 51045, 51170, 51031, 55833, 53387, 73429, 53292, 51346, 54810, 51346, 53494, 51346, 54315, 67251, 52744, 51045, 51170, 51031, 53792, 50915, 53357, 55506, 52744, 69951, 55933, 52987, 50910, 56067, 50910, 54346, 50910, 53452, 55744, 51045, 55751, 53562, 53355, 50910, 54346, 50910, 53452, 55744, 60512, 51237, 54283, 53586, 73429, 52987, 50808, 54346, 50808, 53452, 52675, 51045, 55928, 65264, 52648, 50808, 54346, 50808, 53494, 50840, 66513, 51623, 51414, 51623, 51457, 51623, 51186, 50889, 53355, 51095, 54346, 54834, 53452, 54834, 50798, 53710, 69951, 51045, 55928, 51080, 54283, 55116, 50420, 53075, 55744, 57272, 52303, 55744, 51045, 51170, 55649, 51410, 51204, 51186, 56411, 52744, 51045, 51170, 56262, 51186, 55506, 52744, 69951, 51031, 53792, 51080, 51180, 68280, 53075, 55744, 60512, 68287, 52303, 50910, 51186, 55744, 51045, 61357, 50910, 51303, 51151, 51414, 51452, 51457, 51623, 51186, 53769, 53710, 69951, 51045, 56855, 51452, 55928, 51680, 50420, 52303, 55744, 57272, 53075, 55744, 51045, 51170, 55649, 51410 ]
[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 13305, 6, 3459, 8669, 6, 5730, 2342, 4467, 6, 6755, 12547, 6, 8, 21072, 6, 2351, 10, 32076, 8, 33558, 5466, 1969, 13, 5, 1619, 191, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 50796, 50444, 52150, 57508, 50688, 50325, 52903, 50450, 50688, 50316, 56711, 50688, 50316, 58651, 59649, 50859, 51435, 50967, 51578, 51215, 51837, 77772, 51876, 51048, 51153, 67175, 51435, 51235, 51578, 51192, 51837, 67772, 51876, 50873, 51153, 78259, 51964, 50910, 51489, 50808, 51516, 52809, 53038, 50967, 51308, 51110, 51275, 50967, 51435, 51110, 51068, 50839, 50799, 52150, 51184, 50688, 50325, 51307, 51876, 50821, 51435, 51175, 51578, 50967, 51837, 77772, 50688, 50316, 50838, 51876, 51073, 51153, 67732, 50688, 50316, 53866, 51435, 51235, 51578, 51286, 51837, 51121, 51532, 66775, 50791, 58025, 51876, 50849, 51153, 51043, 51983, 55703, 51306, 51556, 58286, 50791, 57481, 51964, 50910, 51489, 50808, 51516, 51049, 76779, 59526, 51572, 68211, 67627, 51193, 51655, 51180, 50870, 55894, 51004, 51618, 60145, 67627, 51193, 51655, 50450, 51468, 50452, 59526, 50453, 53038, 51095, 51308, 50967, 51275, 51095, 51435, 51095, 51068, 51406, 60570, 59526, 51453, 50837, 55779, 51004, 51621, 56603, 59526, 50799, 52150, 52379, 50688, 50325, 51264, 51876, 50858, 51435, 50967, 51578, 51175, 51837, 51177, 51956, 50416, 58907, 51402, 64159, 50791, 54303, 50688, 50316, 50838, 51876, 51073, 51153, 51101, 51956, 55429, 50982, 51510, 58964, 50791, 53356, 50688, 50316, 52916, 51435, 51238, 51578, 51192, 51837, 51121, 51956, 50428, 52622, 51532, 60741, 50791, 54075, 51876, 50873, 51153, 51043, 51956, 55703, 50982, 51556, 57540, 50791, 53569, 51964, 50830, 51489, 50808, 51516, 50859, 51471, 50440, 52622, 50441, 51468, 50443, 52622, 51180, 59673, 51983, 50447, 51471, 50449, 67615, 51132, 50914, 52261, 51193, 51264, 50452, 52008, 50453, 53038, 51095, 51308, 50967, 51275, 51095, 51435, 51095, 51068, 51406, 60570, 58539, 51453, 50841, 51193, 51307, 50458, 51983, 51621, 56603, 58907, 52894, 50930, 62351, 51933, 52150, 51184, 50688, 50325, 51307, 51876, 50859, 51435, 51215, 51578, 51215, 51837, 51177, 53552, 56166, 51132, 54452, 51135, 54213, 51132, 50930, 50688, 50316, 50838, 51876, 51073, 51153, 51101, 52321, 53744, 51132, 51864, 52917, 75353, 50688, 50316, 54573, 51435, 51235, 51578, 51286, 51837, 51177, 56319, 50829, 51532, 62000, 50816, 53196, 51526, 50893, 51876, 50849, 51153, 51194, 71325, 54003, 52904, 51132, 50894, 51964, 50952, 51489, 50808, 51516, 53841, 51139, 50829, 51572, 50908, 51180, 54169, 50883, 75439, 51132, 51090, 54263, 53030, 51392, 50829, 51193, 51359, 50453, 53038, 50967, 51308, 50967, 51275, 51095, 51435, 51095, 51068, 51467, 50908, 51453, 50834, 51193, 51359, 51621, 50863, 52894, 50930, 53918, 51446, 52150, 52379, 50688, 50325, 51307, 51876, 50858, 51435, 50967, 51578, 51215, 51837, 51177, 52455, 56166, 51132, 55461, 51135, 53420, 51132, 50930, 50688, 50316, 50838, 51876, 51073, 51153, 51212, 52453, 53744, 51132, 50930, 60656, 51132, 51014, 50688, 50316, 52916, 51435, 51235, 51578, 51192, 51837, 51177, 53316, 63851, 53670, 51526, 50806, 51876, 50873, 51153, 51043, 68329, 58034, 50925, 54003, 52904, 64670, 51964, 50830, 51489, 50800, 51516, 52218, 51130, 66687, 76517, 54169, 50883, 51618, 52805, 51132, 51016, 53316, 50829, 51193, 51359, 50453, 53038, 50967, 51308, 51095, 51275, 50967, 51435, 51095, 51068, 51406, 50908, 51453, 50834, 51193, 51307, 73788, 52894, 50930, 52150, 52379, 50688, 50325, 51307, 51876, 50858, 51435, 51175, 51578, 50967, 51837, 51177, 53552, 56166, 51132, 54452, 51179, 53738, 51132, 50930, 50688, 50316, 50838, 51876, 51048, 51153, 51101, 52453, 54316, 51132, 51864, 52917, 75353, 52817, 50803, 50688, 50316, 54573, 51435, 51235, 51578, 51173, 51837, 51121, 53316, 54883, 52817, 51052, 53670, 51526, 50879, 52817, 50803, 51876, 50849, 51153, 51178, 68329, 52817, 50860, 54003, 52904, 51132, 50950, 51964, 50910, 51489, 50808, 51516, 53841, 51130, 55262, 52756, 50860, 51983, 51180, 54109, 55551, 52756, 50860, 61625, 51132, 51016, 56319, 50829, 51193, 51359, 50453, 53664, 50882, 53038, 51095, 51308, 51095, 51275, 50967, 51435, 51095, 51068, 51406, 53556, 52756, 50950, 51762, 51193, 51359, 50459, 52817, 51739, 50870, 52894, 50930, 52756, 51138, 52150, 51184, 50688, 50325, 51264, 51876, 50859, 51435, 51215, 51578, 50967, 51837, 51177, 52120, 56166, 51132, 54452, 51135, 53420, 51132, 50962, 50688, 50316, 50838, 51876, 51048, 51153, 51101, 52453, 53744, 51132, 51864, 52917, 75353, 54580, 51819, 75761, 50688, 50316, 54573, 51435, 51238, 51578, 51173, 51837, 51177, 53316, 64911, 51819, 72764, 51526, 50893, 51783, 50859, 51876, 50849, 51153, 51043, 51762, 50871, 51998, 50435, 51555, 51033, 54052, 50891, 50861, 55177, 57097, 50894, 51964, 50830, 51489, 50859, 51516, 52218, 51139, 50829, 68251, 54580, 51998, 51584, 51420, 54109, 72199, 51998, 50447, 54942, 51998, 51722, 51508, 79929, 65656, 51132, 50896, 54580, 51998, 51584, 55182, 51392, 50829, 51193, 51359, 50877, 51998, 50453, 55663, 55177, 51783, 51235, 53038, 51095, 51308, 50967, 51275, 50967, 51435, 50967, 51068, 51467, 75816, 52254, 51453, 50834, 51193, 51307, 73788, 52894, 50962, 52150, 51184, 50688, 50325, 51264, 51876, 50858, 51435, 51215, 51578, 50967, 51837, 51101, 52455, 56166, 51132, 54452, 51044, 54213, 51132, 50930, 50688, 50316, 50838, 51876, 51048, 51153, 51101, 52453, 53744, 51132, 50930, 53664, 50950, 59195, 51132, 51014, 52817, 50803, 50688, 50316, 54573, 51435, 51160, 51578, 51173, 51837, 51101, 53316, 54956, 52817, 51805, 53670, 51526, 50893, 70060, 51153, 51194, 68329, 52817, 52651, 51437, 53115, 64670, 51964, 50830, 51489, 50859, 51516, 53841, 51139, 55604, 52756, 51805, 70041, 54109, 56156, 53664, 50950, 61625, 51132, 51016, 52756, 54886, 51392, 50829, 51193, 51307, 50453, 53038, 51095, 51308, 51095, 51275, 51095, 51435, 51110, 51068, 51467, 53556, 52756, 50823, 51762, 51193, 51359, 51621, 50863, 52894, 50930, 52756, 50803, 52150, 51184, 50688, 50325, 51307, 51876, 50821, 51435, 51215, 51578, 50967, 51837, 51101, 52455, 56166, 51132, 50962, 53200, 54312, 51179, 53738, 51132, 50930, 53664, 51309, 50688, 50316, 50838, 51876, 51073, 51153, 51101, 52321, 53744, 51132, 50890, 60656, 51132, 51014, 54580, 51819, 75761, 50688, 50316, 53866, 51435, 51235, 51578, 51192, 51837, 51177, 53316, 64911, 51819, 51532, 53670, 51526, 50879, 51783, 50859, 70060, 51153, 51194, 51762, 50871, 51998, 50435, 51555, 51033, 54003, 72686, 55177, 57097, 50894, 51964, 50952, 51489, 50808, 51516, 53841, 51041, 66687, 53384, 54580, 51998, 51584, 50854, 59683, 72199, 51998, 50447, 54942, 51998, 51722, 50858, 51960, 50906, 65656, 51132, 50896, 54580, 51998, 51584, 55182, 51392, 50834, 51193, 51359, 50877, 51998, 50453, 55663, 55177, 51783, 51160, 53038, 51095, 51308, 50967, 51275, 50967, 51435, 51095, 51068, 51467, 75816, 52254, 51453, 50834, 51193, 51264, 74262, 52894, 50962, 52150, 51184, 50688, 50325, 51307, 51876, 50858, 51435, 50967, 51578, 51215, 51837, 51101, 52120, 56390, 51132, 55461, 51044, 53738, 51132, 50930, 50688, 50316, 50838, 51876, 51290, 51153, 51212, 52453, 54316, 51132, 51864, 52917, 75353, 52817, 50803, 50688, 50316, 52916, 51435, 51238, 51578, 51173, 51837, 51121, 56319, 54883, 53036, 51052, 53814, 51526, 50893, 53918, 50860, 51876, 50849, 51153, 51194, 71325, 54052, 53018, 51132, 50894, 62351, 50823, 51964, 50830, 51489, 50808, 51516, 52218, 51041, 66687, 53858, 58034 ]
[ 0, 250, 15855, 2125, 4246, 3551, 139, 8, 24896, 6, 42, 765, 2214, 7630, 6568, 10, 25306, 5466, 6, 1969, 13, 10, 5386, 50, 28339, 822, 1471, 4, 8504, 11, 83, 3694, 19, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 22848, 10, 33215, 16739, 9, 230, 119, 1176, 406, 6, 211, 406, 6, 163, 119, 6, 230, 6, 8, 211, 406, 6, 2351, 10, 13363, 28191, 3222, 5785, 227, 1109, 8, 2933, 6711, 29, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 53879, 56111, 54807, 54675, 53448, 57611, 53155, 51055, 50444, 53448, 54554, 54807, 51055, 50799, 53155, 56111, 53941, 54675, 53155, 57611, 53448, 51055, 50444, 54807, 54554, 53448, 51055, 50799, 53879, 56111, 54807, 54675, 53448, 57611, 53155, 51055, 50444, 53448, 54554, 54807, 51055, 50799, 53155, 56111, 53941, 54675, 53448, 57611, 53155, 51055, 50444, 53448, 54554, 51951, 51055, 54807, 51055, 50799, 52142, 51072, 52249, 51184, 53879, 51795, 50426, 52142, 57611, 52142, 51685, 50456, 53879, 50936, 77630, 51184, 53398, 61912, 51951, 54675, 52142, 57611, 54113, 57626, 52142, 56059, 51951, 54554, 52249, 57973, 51951, 50936, 50799, 52142, 51072, 51967, 51184, 56774, 51795, 50426, 52142, 57611, 52142, 51685, 50456, 56774, 50936, 50799, 53928, 51184, 57889, 61912, 51951, 54675, 52142, 57611, 54113, 57626, 52142, 56059, 51951, 54554, 52249, 57973, 51951, 50936, 50799, 52142, 51072, 52813, 51184, 55030, 51795, 50426, 51967, 57611, 51967, 51685, 50456, 55030, 50936, 77435, 51352, 56311, 51795, 50420, 51967, 58595, 52130, 69657, 52249, 51192, 50438, 52130, 60815, 51967, 58317, 52521, 50936, 52521, 57973, 52682, 50936, 53928, 51192, 57889, 50936, 50799, 53992, 51009, 51967, 51009, 65660, 51009, 50799, 53879, 56111, 54807, 54675, 53448, 57611, 53155, 51055, 50444, 53448, 54554, 54807, 51055, 50799, 53155, 56111, 53941, 54675, 53155, 57611, 53448, 51055, 50444, 54807, 54554, 53448, 51055, 50799, 53879, 56111, 54807, 54675, 53448, 57611, 53155, 51055, 50444, 53448, 54554, 54807, 51055, 50799, 53155, 56111, 53941, 54675, 53448, 57611, 53155, 51055, 50444, 53448, 54554, 51951, 51055, 54807, 51055, 50799, 52142, 51072, 52249, 51184, 53879, 51795, 50426, 52142, 57611, 52142, 51685, 50456, 53879, 50936, 77630, 51184, 53398, 61912, 51951, 54675, 52142, 57611, 54113, 57626, 52142, 56059, 51951, 54554, 52249, 57973, 51951, 50936, 50799, 52142, 51072, 51967, 51184, 56774, 51795, 50426, 52142, 57611, 52142, 51685, 50456, 56774, 50936, 50799, 53928, 51184, 57889, 61912, 51951, 54675, 52142, 57611, 54113, 57626, 52142, 56059, 51951, 54554, 52249, 57973, 51951, 50936, 50799, 52142, 51072, 52813, 51184, 55030, 51795, 50426, 51967, 57611, 51967, 51685, 50456, 55030, 50936, 77435, 51352, 56311, 51795, 50420, 51967, 58595, 52130, 69657, 52249, 51192, 50438, 52130, 60815, 51967, 58317, 52521, 50936, 52521, 57973, 52682, 50936, 53928, 51192, 57889, 50936, 50799, 53992, 51009, 51967, 51009, 65660, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 20902, 3495, 3152, 2214, 14, 22750, 1626, 11098, 8, 10563, 6, 1969, 13, 5, 1619, 191, 4, 590, 10, 11739, 9, 2382, 3459, 6, 3459, 6, 8, 21979, 29589, 6, 2800, 30, 21072, 8, 21979, 9590, 6, 24, 11498, 41, 20425, 2877, 11, 204, 73, 306, 86, 23, 41, 12447, 1001, 20889, 4, 8504, 11, 5, 762, 9, 211, 538, 6, 5, 1349, 1575, 10, 16331, 33215, 6184, 9, 211, 401, 8, 83, 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 ]	[ 54458, 56020, 51281, 61001, 51023, 51158, 50431, 51185, 51090, 50434, 51023, 54362, 51281, 51060, 50443, 51185, 51290, 50446, 51281, 57099, 51020, 51167, 50454, 51185, 51055, 50458, 51020, 50884, 50799, 51268, 66553, 51023, 51054, 51089, 51014, 50423, 51495, 51377, 50427, 51089, 51388, 50434, 51815, 52783, 51495, 50896, 51282, 51742, 51089, 51054, 51023, 51454, 50446, 51023, 51014, 51089, 51014, 51495, 50830, 51893, 60746, 52396, 51495, 51055, 51089, 51603, 51023, 51454, 50458, 53076, 58822, 50828, 70782, 50863, 51083, 50837, 78253, 51368, 50818, 51195, 50884, 51924, 51167, 50929, 51178, 51076, 72875, 55614, 51322, 51100, 51830, 50914, 50422, 51401, 51000, 51083, 50971, 72826, 51195, 50840, 51390, 50890, 51076, 50878, 50929, 51312, 50423, 51322, 53049, 51401, 50971, 51089, 50904, 76910, 51350, 50887, 51366, 51824, 51390, 51173, 51076, 51101, 50816, 53237, 55882, 51830, 51159, 50433, 76889, 51076, 64160, 51401, 51000, 51089, 50941, 72826, 51350, 50809, 51366, 50854, 51590, 73256, 52950, 51401, 51126, 51083, 50971, 51668, 50889, 51368, 50855, 51195, 50840, 51322, 50873, 51830, 50943, 51390, 51541, 58352, 51076, 72645, 56892, 51401, 51126, 51083, 50941, 51368, 50855, 51195, 50809, 51322, 55758, 51401, 50984, 51089, 50904, 79425, 51350, 50887, 51830, 64019, 53237, 57399, 51366, 51212, 50458, 51401, 51126, 51089, 50941, 51368, 50855, 51350, 50809, 51366, 50855, 51390, 61845, 50834, 70782, 51123, 51083, 50971, 74808, 51368, 50833, 51195, 50840, 51390, 51215, 51830, 77749, 51551, 55809, 57666, 51322, 50873, 50422, 51083, 50941, 51401, 51126, 51195, 50809, 51368, 50855, 51322, 50942, 51390, 51379, 50426, 51401, 51126, 51089, 50941, 51368, 50855, 51350, 50809, 51830, 59451, 53237, 57334, 51366, 70935, 51401, 50971, 51089, 50904, 76910, 51350, 50887, 51366, 50925, 51390, 61845, 52600, 51401, 51126, 51083, 50904, 51668, 51091, 51368, 50855, 51195, 50887, 51893, 51215, 51830, 51056, 50947, 51013, 60026, 58159, 51322, 74307, 51083, 50971, 51401, 51126, 51195, 50840, 51368, 50855, 51322, 50813, 51893, 64466, 51401, 51000, 51089, 50864, 72826, 72708, 51830, 51109, 50816, 53237, 57399, 51366, 67164, 51401, 51000, 51089, 50863, 72826, 51350, 50818, 51366, 50942, 53076, 55941, 50835, 66821, 51126, 51763, 50982, 51389, 51294, 68834, 51482, 50820, 51924, 50806, 52468, 50807, 50929, 51215, 51076, 51215, 64082, 57030, 51664, 75026, 51282, 50971, 51763, 51126, 76997, 51482, 50855, 51664, 50812, 51390, 50940, 75655, 50947, 66659, 51078, 66010, 51763, 51000, 51595, 51000, 51482, 50836, 51545, 50836, 51390, 50967, 52468, 50914, 50947, 52504, 53584, 57334, 51912, 68570, 51078, 50878, 50947, 66855, 51595, 50971, 51763, 50941, 51545, 50840, 51482, 50809, 51912, 50833, 51590, 61845, 57352, 51078, 50914, 50947, 60315, 51763, 51126, 51282, 51000, 67488, 51482, 50855, 68541, 52468, 51048, 51390, 51362, 57339, 55698, 51664, 50978, 50446, 51763, 51126, 51282, 50971, 51482, 50855, 76997, 51664, 53639, 51763, 51128, 51595, 50971, 51482, 74715, 50840, 52468, 53030, 53237, 57399, 51912, 78450, 51763, 51000, 51595, 50971, 51482, 50836, 51545, 50840, 51912, 50812, 51390, 68067, 56842, 51078, 51356, 68266, 51126, 51282, 51000, 67879, 51482, 50855, 68541, 51390, 51215, 52468, 50807, 58135, 59527, 51664, 71437, 51763, 51126, 51282, 50971, 51482, 50855, 76997, 51664, 50942, 51390, 61649, 51763, 51000, 51595, 50870, 51482, 50836, 51545, 50846, 52468, 66404, 53584, 54883, 51912, 79624, 51763, 51000, 51595, 50904, 51482, 50836, 51545, 50887, 51390, 61845, 54606, 51912, 59577, 51763, 51126, 51282, 50941, 51216, 51294, 51482, 50855, 51265, 50809, 51893, 51379, 52468, 50889, 50947, 51091, 58135, 58159, 51664, 74307, 51763, 50971, 51282, 50904, 51482, 50840, 51265, 50887, 51893, 51090, 50447, 51664, 53938, 51763, 50971, 51595, 50971, 51482, 50840, 51545, 50840, 52468, 55107, 53110, 59753, 51912, 75574, 51763, 50863, 51595, 50825, 51482, 50818, 51545, 50895, 53076, 61845, 54991, 51912, 50810, 70782, 50971, 51083, 50825, 51098, 50889, 76910, 51195, 50895, 51924, 51379, 51830, 50889, 50929, 51043, 51076, 51194, 55809, 57030, 51322, 50917, 50422, 51401, 51126, 51083, 50971, 51368, 50855, 51195, 50840, 51390, 50830, 63614, 51076, 62370, 50929, 51884, 50426, 51401, 51000, 51089, 50904, 72826, 51350, 50887, 51366, 51058, 51390, 51060, 51830, 50943, 51076, 71939, 53237, 56512, 51401, 51126, 51089, 50941, 51368, 50855, 51350, 50809, 51366, 50810, 51590, 50830, 76889, 51076, 64267, 52742, 51401, 51126, 51083, 50941, 51668, 50889, 51368, 50855, 51195, 50809, 51830, 50914, 51390, 51294, 50929, 50943, 51076, 51013, 55809, 57270, 51322, 72143, 51083, 50971, 51401, 51128, 51195, 50840, 70711, 51322, 52843, 51401, 51126, 51089, 50941, 51368, 50855, 51350, 50809, 51830, 64019, 52995, 57399, 51366, 73119, 51401, 51000, 51089, 50941, 72826, 51350, 50809, 51366, 50810, 51390, 68067, 50834, 70782, 51000, 51083, 50971, 74808, 72826, 51195, 50840, 51390, 50967, 51830, 51157, 50929, 51551, 55809, 56075, 51322, 50873, 50422, 51083, 51000, 51401, 51297, 65033, 51368, 50813, 51390, 51033, 50423, 51322, 53803, 51401, 51000, 51089, 50904, 72826, 51350, 50887, 51390, 51178, 51830, 59451, 52995, 57334, 51366, 67632, 51401, 51126, 51089, 50971, 51368, 50855, 74609, 51366, 50878, 51924, 63799, 57352, 50947, 64740, 51401, 51126, 51083, 50904, 51668, 50889, 51368, 50855, 51195, 50887, 51322, 50977, 51830, 50943, 55809, 57728, 51083, 50941, 51401, 50928, 51195, 50809, 51368, 50839, 51390, 51286, 50447, 51322, 52848, 51401, 51000, 51089, 50864, 72826, 72708, 51830, 70229, 52995, 56012, 51366, 77930, 51401, 50891, 51089, 50863, 51368, 50828, 51350, 50818, 51366, 63250, 50846, 68266, 50941, 51389, 51158, 51482, 50809, 52468, 50795, 51893, 51483, 51078, 51047, 50947, 51183, 62043, 57829, 51664, 77455, 53076, 51631, 51893, 51175, 50434, 53076, 54930, 51390, 51215, 50960, 51283, 51078, 51477, 50801, 60635, 51590, 51090, 50458, 51229, 50915, 55753, 50998, 50948, 50929, 50924, 50422, 51282, 50857, 51265, 50962, 51934, 55508, 54069, 53737, 51346, 50426, 69211, 51265, 50858, 51934, 50923, 63386, 50929, 56867, 59076, 50960, 51109, 51078, 51267, 50434, 51083, 51806, 51282, 51709, 51389, 51091, 51195, 51048, 51265, 51073, 51390, 51054, 52468, 51562, 51664, 51291, 50816, 61312, 51390, 51483, 50816, 54255, 77278, 51899, 59552, 51390, 62851, 56904, 51311, 51359, 70782, 50984, 51083, 50907, 74808, 79425, 51195, 50808, 51924, 51173, 51830, 50889, 50929, 51359, 50960, 51359, 50856, 55614, 51322, 74430, 51401, 51128, 51083, 51000, 70711, 65033, 51322, 50833, 51390, 58798, 51401, 51123, 51089, 50904, 51368, 50833, 51350, 50887, 51390, 50967, 51830, 55107, 52995, 56670, 51366, 73308, 51401, 51126, 51089, 51000, 51368, 50855, 66098, 51366, 50862, 51590, 64785, 52742, 51401, 51128, 51083, 50941, 51668, 50807, 70711, 51195, 50809, 51390, 51175, 51830, 69238, 58159, 51322, 75097, 51083, 51000, 51401, 51128, 65033, 70711, 51322, 50854, 51390, 58710, 51401, 51000, 51089, 50904, 72826, 51350, 50887, 51924, 51095, 51830, 55107, 52995, 57399, 51366, 71295, 51401, 50870, 51089, 50863, 51368, 50846, 51350, 50818, 51366, 50942, 51390, 58396, 52995, 50835, 66821, 50904, 51763, 50971, 67879, 51265, 50887, 51482, 50840, 51664, 51100, 52468, 50807, 51078 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 2214, 19, 10, 1619, 16464, 6, 4246, 385, 922, 438, 15677, 6, 30062, 620, 7085, 12280, 642, 6, 13305, 6, 8, 21072, 6, 70, 1375, 23, 41, 178, 5285, 20889, 11, 204, 73, 306, 86, 4, 20, 2125, 16, 11, 5, 762, 9, 12608, 538, 6, 19, 10, 33215, 16739, 9, 12608, 6, 2060, 6, 12608, 6, 8, 272, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51414, 50975, 51327, 50975, 51980, 50975, 52566, 57343, 51642, 50920, 51642, 52819, 58187, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 53171, 50823, 53267, 50975, 52566, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 51337, 50444, 55386, 53798, 52932, 50823, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50456, 53171, 50823, 54969, 50823, 50799, 53001, 51059, 54757, 50975, 54361, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 58187, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 51980, 51059, 54757, 50975, 54361, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 75926, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50456, 54969, 50823, 74149, 50975, 51327, 50975, 51980, 50975, 52566, 57343, 51642, 50920, 51642, 52819, 58187, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 53171, 50823, 53267, 50975, 52566, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 51337, 50444, 55386, 53798, 52932, 50823, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50456, 53171, 50823, 54969, 50823, 50799, 53001, 51059, 54757, 50975, 54361, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 58187, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 56822, 51059, 54757, 50975, 54361, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 75926, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50456, 54969, 50823, 74149, 50975, 51327, 50975, 51980, 50975, 52566, 57343, 51642, 50920, 51642, 52819, 58187, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 53171, 50823, 53267, 50975, 52566, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 51337, 50444, 55386, 53798, 52932, 50823, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50456, 53171, 50823, 54969, 50823, 50799, 53001, 51059, 54757, 50975, 54361, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 58187, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 51980, 51059, 54757, 50975, 54361, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 75926, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50456, 54969, 50823, 74149, 50975, 51327, 50975, 51980, 50975, 52566, 57343, 51642, 50920, 51642, 52819, 58187, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 53171, 50823, 53267, 50975, 52566, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 51337, 50444, 55386, 53798, 52932, 50823, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50456, 53171, 50823, 54969, 50823, 50799, 53001, 51059, 54757, 50975, 54361, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 58187, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 56822, 51059, 54757, 50975, 54361, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 75926, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50456, 54969, 50823, 50799, 53267, 50975, 52566, 50975, 54254, 50975, 50666, 50288, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 51476, 50823, 54757, 50823, 52566, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 51687, 50823, 54254, 53798, 51231, 50823, 52566, 50823, 54254, 50823, 53039, 57343, 51642, 50920, 51642, 50456, 51651, 50823, 54740, 50823, 79480, 51059, 54757, 50975, 54361, 50975, 50666, 50295, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 54757, 50823, 54361, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 54361, 50823, 53000, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 53039, 53798, 54361, 50823, 53039, 57343, 51642, 50920, 51642, 50456, 54740, 50823, 50799, 52566, 50975, 54254, 50975, 54428, 50975, 50666, 50288, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 51476, 50823, 54757, 50823, 52566, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 51687, 50823, 54254, 53798, 51231, 50823, 54757, 50823, 52566, 50823, 53039, 57343, 51642, 50920, 51642, 50456, 51651, 50823, 54740, 50823, 74149, 51059, 54361, 50975, 54740, 50975, 54428, 50975, 50666, 50295, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 54757, 50975, 54361, 50975, 53000, 60361, 51642, 50920, 51642, 52819, 75926, 52650, 50975, 54361, 70045, 51642, 50920, 51642, 50799, 53267, 50975, 52566, 50975, 54254, 51059, 50666, 50288, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 53267, 50823, 52566, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 51651, 50823, 52566, 50823, 54254, 50823, 54740, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 51414, 50823, 54428, 53798, 51327, 50823, 54254, 50823, 54740, 50823, 53647, 57343, 51642, 50920, 51642, 50456, 52109, 50823, 56976, 50823, 50799, 51980, 51059, 53039, 50975, 53647, 50975, 58143, 50975, 75153, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 53039, 50823, 53647, 57343, 51642, 50920, 51642, 50432, 54254, 50823, 52819, 58450, 51980, 50823, 53039, 50823, 53647, 50823, 58143, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 52109, 50823, 56976, 53798, 51327, 50823, 54254, 50823, 53039, 50823, 53647, 57343, 51642, 50920, 51642, 50456, 51414, 50823, 54428, 50823, 50799, 51651, 51059, 54254, 50975, 53000, 50975, 54740, 50975, 50666, 50293, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 54254, 50823, 53000, 57343, 51642, 50920, 51642, 50432, 54757, 50823, 52819, 58450, 52109, 50823, 53000, 50823, 54740, 50823, 56976, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 51327, 50823, 53647, 53798, 51414, 50823, 54428, 57343, 51642, 50920, 51642, 50456, 51651, 50823, 54740, 50823, 73409, 51059, 54757, 50975, 54361, 50975, 54254, 50975, 50666, 50295, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 54757, 50823, 54361, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 54361, 50823, 53000, 50823, 53647, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 56976, 53798, 54361, 50823, 54428, 57343, 51642, 50920, 51642, 50456, 54740, 50823, 50799, 53267, 50975, 52566, 50975, 54254, 50975, 50666, 50288, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 53267, 50823, 52566, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 51476, 50823, 54757, 50823, 52566, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 51687, 50823, 54254, 53798, 51231, 50823, 54757, 50823, 52566, 50823, 53039, 57343, 51642, 50920, 51642, 50456, 51651, 50823, 54740, 50823, 79480, 51059, 54757, 50975, 54361, 50975, 50666, 50295, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 54757, 50823, 54361, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 54361, 50823, 53647, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 54428, 53798, 54361, 50823, 54428, 57343, 51642, 50920, 51642, 50456, 54740, 50823, 50799, 53267, 50975, 52566, 50975, 54254 ]
[ 0, 250, 5679, 26709, 8, 19448, 5175, 25771, 2214, 14, 7630, 6568, 10, 1472, 9, 980, 8, 3366, 12, 3341, 5466, 6, 4246, 10, 6755, 12547, 6, 38668, 22052, 6, 31391, 1672, 9590, 6, 21072, 6, 8, 2342, 4467, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 7212, 20889, 9, 1814, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 33215, 16739, 9, 163, 428, 6, 12608, 6, 8, 163, 428, 73, 495, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52591, 51165, 52829, 51357, 52829, 51093, 52720, 51182, 52720, 51426, 54373, 51394, 52829, 51304, 53201, 51558, 52720, 50796, 76501, 51882, 58215, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51362, 74636, 52337, 57380, 52337, 52398, 51293, 51716, 51313, 52606, 52337, 52914, 50821, 55751, 53197, 50829, 50652, 50276, 53241, 50420, 52914, 50858, 57539, 53803, 52914, 50921, 61502, 54215, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 51073, 52561, 51014, 52005, 59644, 52914, 50923, 65718, 51343, 51678, 51313, 52072, 67531, 50829, 50652, 50276, 53241, 50432, 54457, 67777, 50829, 54733, 52392, 50450, 54457, 51073, 51882, 50385, 54331, 55007, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51274, 52398, 51313, 52736, 51313, 52914, 52589, 50829, 50652, 50276, 52500, 50420, 52914, 54149, 52914, 57359, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 51013, 52561, 51021, 52005, 59644, 52914, 50923, 65718, 51294, 52072, 51313, 51678, 67531, 50829, 50652, 50276, 51655, 50432, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 50889, 51882, 50385, 54331, 55007, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51362, 52398, 51313, 51716, 51313, 52914, 50821, 55751, 53197, 50829, 50652, 50276, 53241, 50420, 52914, 50858, 57539, 53803, 52914, 50921, 61502, 54215, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 51073, 52561, 51014, 52005, 59644, 52914, 50923, 65718, 51343, 51678, 51313, 52072, 67531, 50829, 50652, 50276, 53241, 50432, 54457, 67777, 50829, 54733, 52392, 50450, 54457, 51073, 51882, 50385, 54331, 55007, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51274, 52398, 51313, 52736, 51293, 52914, 52589, 50829, 50652, 50276, 52500, 50420, 52914, 54149, 52914, 57359, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 51013, 52561, 51021, 52005, 59644, 52914, 50923, 65718, 51294, 51678, 51313, 52072, 67531, 50829, 50652, 50276, 51655, 50432, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 50889, 51882, 50385, 54331, 55007, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51362, 52398, 51313, 51716, 51313, 52914, 52589, 50829, 50652, 50276, 53241, 50420, 52914, 54149, 54503, 51454, 52914, 57359, 54457, 57394, 50829, 54733, 52392, 50438, 52004, 56646, 54503, 64466, 54457, 51073, 52561, 51014, 52005, 59644, 52914, 57241, 51893, 50911, 65718, 51343, 52072, 51313, 51678, 51313, 52031, 59872, 50829, 50652, 50276, 53241, 50420, 51674, 57625, 51674, 69467, 54457, 67777, 50829, 54733, 52392, 50444, 51209, 67424, 54457, 51073, 51882, 50385, 54331, 55007, 51408, 51235, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51274, 52398, 51313, 52736, 51313, 51674, 51055, 52914, 52589, 50829, 50652, 50276, 52500, 50420, 52914, 54149, 51772, 50948, 52914, 50921, 50431, 51772, 51896, 50432, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 51013, 52561, 51021, 52005, 59644, 52914, 50923, 65718, 51294, 51678, 51313, 52072, 67531, 50829, 50652, 50276, 51655, 50432, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 50889, 51882, 50385, 54331, 55007, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51362, 51716, 51313, 52398, 51313, 52914, 52589, 50829, 50652, 50276, 53241, 50420, 52914, 54149, 51674, 51016, 52914, 57359, 54457, 57394, 50829, 54733, 52392, 50438, 51209, 59591, 51674, 55260, 54457, 51073, 51674, 50893, 52561, 51014, 52005, 59644, 52914, 57241, 51893, 51343, 65718, 51343, 51678, 51313, 52072, 67531, 50829, 50652, 50276, 53241, 50426, 52031, 55214, 54457, 51364, 51209, 61025, 50829, 54733, 52392, 50450, 54457, 51073, 51882, 50385, 54331, 55007, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51274, 52398, 51313, 52736, 51313, 52914, 52589, 50829, 50652, 50276, 52500, 50420, 52914, 54149, 51772, 50948, 52914, 57359, 54457, 51141, 51256, 72330, 50829, 54733, 52392, 50444, 51256, 71381, 54457, 51013, 52561, 51021, 52005, 59753, 51451, 51167, 50455, 52914, 50923, 50461, 52072, 51313, 65718, 51294, 51678, 51445, 51772, 63968, 50829, 50652, 50276, 51655, 50432, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 50889, 51882, 50385, 54331, 55007, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51362, 52398, 51313, 51716, 51313, 52914, 52589, 50829, 50652, 50276, 53241, 50420, 52914, 54149, 54503, 51016, 52914, 57359, 54457, 57394, 50829, 54733, 52392, 50438, 52004, 56209, 54503, 58833, 54457, 51073, 52561, 51014, 52005, 59644, 52914, 57241, 51893, 51343, 65718, 51343, 51678, 51313, 52072, 67531, 50829, 50652, 50276, 53241, 50426, 52031, 54729, 54457, 51364, 51209, 65506, 50829, 54733, 52392, 50450, 54457, 51073, 51882, 50385, 54331, 55007, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51274, 52398, 51313, 52736, 51293, 52914, 52589, 50829, 50652, 50276, 52500, 50420, 52914, 54149, 51772, 50893, 52914, 57359, 54457, 51141, 51256, 67777, 50829, 54733, 52392, 50450, 54457, 51013, 51772, 50795, 52561, 51021, 52005, 59644, 52914, 57241, 52031, 51336, 65718, 51294, 51678, 51313, 52072, 67531, 50829, 50652, 50276, 51655, 50432, 54457, 57394, 50829, 54733, 52392, 50438, 51334, 58040, 51408, 54811, 51674, 68031, 54457, 50889, 52005, 52920, 51674, 50806, 52894, 51364, 51821, 51148, 52398, 51148, 53034, 51148, 66451, 51148, 55825, 51244, 51408, 54454, 50798, 52953, 51132, 55548, 57514, 63995, 51148, 57842, 51336, 55464, 51244, 51678, 51148, 52072, 52096, 52009, 72213, 52802, 52005, 52920, 52914, 50830, 50799, 54064, 52096, 64724, 52096, 53034, 52096, 52547, 52096, 52914, 56728, 56075, 51727, 53073, 51526, 52122, 50420, 52914, 58798, 52914, 57748, 52914, 58732, 52766, 52914, 61897, 52914, 54596, 52914, 50952, 52005, 52920, 52914, 59022, 52914, 50887, 50799, 52914, 56728, 53203, 52914, 58798, 52914, 57748, 52914, 53071, 52766, 52914, 51167, 50447, 51882, 66911, 52655, 50936, 55609, 51353, 52233, 51313, 52606, 52096, 52398, 53413, 51716, 51313, 52914, 53435, 55751, 53197, 51539, 53940, 54605, 57539, 53065, 58364, 57395, 61502, 53340, 53940, 50982, 51974, 51539, 58364, 57481, 51674, 50911, 78727, 50982, 51180, 58364, 51258, 50445, 51408, 51566, 52320, 53940, 50366, 52271, 52920, 51334, 51575, 58364, 51258, 53053, 51307, 54064, 51445, 52072, 51313, 51408, 52090, 51539, 53940, 54605, 51334, 52195, 50791, 58364, 51258, 51544, 53940, 50982, 51974, 51539, 58364, 57481, 51678, 51148, 78727, 50982, 51180, 58364, 51258, 52320, 53940, 50366, 52271, 52920, 50852, 53940, 51258, 52894, 51264, 53496, 51313, 52398, 53413, 52736, 51313, 53792, 53197, 51539, 53940, 54605, 57539, 53065, 58364, 57395, 61502, 53340, 53940, 50982, 51974, 51539, 58364, 57481, 51674, 51575, 53940, 54189, 51408, 56832, 58364, 56663, 51334, 50893, 78727, 50366, 52271, 52920, 51408, 70817, 58364, 51258, 54293, 51359, 54064, 51313, 52072, 51313, 58140, 53940, 54605, 51408, 54444, 58364, 57395, 51408, 51196, 78727, 50982, 51974, 51539, 58364, 57481, 51678, 51148, 78727, 50982, 51180, 58364, 51258, 52320, 53940, 50366, 52271, 52920, 50852, 53940, 51258, 55609, 51353, 52233, 51313, 52606, 52096, 52398, 53413, 51716, 51313, 55751, 53197, 51539, 53940, 54605, 57539, 53065, 58364, 57395, 61502, 53340, 53940, 50982, 51974, 51539, 58364, 57481, 51674, 51167, 78727, 50982, 51180, 58364, 51258, 50446, 51408, 51167, 52320, 53940, 50366, 52271, 59753, 51334, 51167, 51453, 58364, 51258, 53053, 51307, 54064 ]
[ 0, 250, 15352, 30054, 3495, 3152, 2214, 19, 10, 1372, 8, 19448, 16464, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21072, 6, 3459, 9590, 6, 8, 3741, 27374, 594, 4, 8504, 11, 5, 762, 9, 83, 3694, 19, 10, 7212, 20889, 9, 8940, 13410, 228, 2289, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 274, 6, 272, 6, 230, 6, 274, 6, 8, 211, 119, 406, 3639, 7, 63, 13363, 28191, 13569, 9862, 6, 442, 24, 1969, 13, 3618, 6288, 50, 25, 10, 19834, 13, 27252, 3423, 9, 657, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 50432, 50770, 50321, 68875, 53509, 52782, 50441, 55279, 52782, 50444, 53509, 52192, 50447, 55279, 52192, 50450, 53509, 51376, 50453, 55279, 69096, 53509, 51174, 50459, 55279, 51174, 50799, 51435, 50896, 53509, 50851, 59372, 50931, 57231, 50807, 51248, 52054, 51685, 50417, 55279, 50851, 50945, 51049, 54711, 53509, 50851, 50945, 51049, 55054, 55279, 50851, 50945, 52227, 53049, 53509, 50851, 50945, 51907, 57102, 51435, 51160, 55279, 50851, 59372, 50931, 51160, 74055, 53509, 50851, 50945, 51049, 55270, 55279, 50851, 50945, 52227, 53415, 51489, 50896, 53509, 50851, 59372, 50968, 57231, 50807, 52066, 50441, 55279, 50851, 50945, 51049, 54478, 53509, 50851, 50945, 51049, 55854, 55279, 50851, 50945, 52227, 53639, 53509, 50851, 50945, 51907, 58031, 51489, 51160, 55279, 50851, 59372, 50968, 51160, 52066, 50456, 53509, 50851, 50945, 51049, 56573, 55279, 50851, 50945, 52227, 50833, 50799, 51578, 50896, 53509, 50851, 59372, 50999, 57231, 50807, 52066, 50417, 55279, 50851, 50945, 51049, 54711, 53509, 50851, 50945, 51049, 55054, 55279, 50851, 50945, 52227, 53049, 53509, 50851, 50945, 51907, 57102, 51578, 51160, 55279, 50851, 59372, 50999, 51160, 74055, 53509, 50851, 50945, 51049, 55270, 55279, 50851, 50945, 52227, 53415, 51489, 50896, 53509, 50851, 59372, 50968, 57231, 50807, 52066, 50441, 55279, 50851, 50945, 51049, 54478, 53509, 50851, 50945, 51049, 55854, 55279, 50851, 50945, 52227, 53639, 53509, 50851, 50945, 51907, 58031, 51489, 51160, 55279, 50851, 59372, 50968, 51160, 52066, 50456, 53509, 50851, 50945, 51049, 56573, 55279, 50851, 50945, 52227, 50833, 50799, 51435, 50896, 53509, 50851, 73834, 50931, 57231, 50807, 52066, 50417, 55279, 50851, 51096, 51049, 54711, 53509, 50851, 51096, 51049, 55054, 55279, 50851, 78094, 50851, 51096, 52227, 53049, 53509, 50851, 51096, 51907, 57102, 51435, 51160, 55279, 50851, 78094, 50851, 73834, 50931, 51160, 74055, 53509, 50851, 51096, 51049, 55270, 55279, 50851, 78094, 50851, 51096, 52227, 53415, 51489, 50896, 53509, 50851, 73834, 50968, 57231, 50807, 52066, 50441, 55279, 50851, 78094, 50851, 51096, 51049, 54478, 53509, 50851, 51096, 51049, 55854, 55279, 50851, 51096, 52227, 53639, 53509, 50851, 51096, 51907, 58031, 51489, 51160, 55279, 50851, 73834, 50968, 51160, 52066, 50456, 53509, 50851, 51096, 51049, 56573, 55279, 50851, 51096, 52227, 50833, 50799, 51578, 50896, 53509, 50851, 73834, 50999, 57231, 50807, 52066, 50417, 55279, 50851, 51096, 51049, 54711, 53509, 50851, 51096, 51049, 55054, 55279, 50851, 51096, 52227, 53049, 53509, 50851, 51096, 51907, 57102, 51578, 51160, 55279, 50851, 73834, 50999, 51160, 74055, 53509, 50851, 51096, 51049, 55270, 55279, 50851, 51096, 52227, 53415, 51489, 50896, 53509, 50851, 73834, 50968, 57231, 50807, 52066, 50441, 55279, 50851, 51096, 51049, 54478, 53509, 50851, 51096, 51049, 55854, 55279, 50851, 51096, 52227, 53639, 53509, 50851, 51096, 51907, 58031, 51489, 51160, 55279, 50851, 73834, 50968, 51160, 52066, 50456, 53509, 50851, 51096, 51049, 56573, 55279, 50851, 51096, 52227, 50833, 50799, 51435, 50896, 53509, 50851, 58237, 50931, 57231, 50807, 52066, 50417, 55279, 50851, 50953, 51049, 54711, 53509, 50851, 50953, 51049, 55054, 55279, 50851, 50953, 52227, 53049, 53509, 50851, 50953, 51907, 57102, 51435, 51160, 55279, 50851, 58237, 50931, 51160, 74055, 53509, 50851, 50953, 51049, 55270, 55279, 50851, 50953, 52227, 53415, 51489, 50896, 53509, 50851, 58237, 50968, 57231, 50807, 52066, 50441, 55279, 50851, 50953, 51049, 54478, 53509, 50851, 50953, 51049, 55854, 55279, 50851, 78094, 50851, 50953, 52227, 53639, 53509, 50851, 50953, 51907, 58031, 51489, 51160, 55279, 50851, 78094, 50851, 58237, 50968, 51160, 52066, 50456, 53509, 50851, 50953, 51049, 56573, 55279, 50851, 78094, 50851, 50953, 52227, 50833, 50799, 51948, 50896, 53509, 50851, 61197, 51081, 57231, 50807, 52066, 50417, 55279, 50851, 50964, 51049, 54711, 53509, 50851, 50964, 51049, 55054, 55279, 50851, 50964, 52227, 53049, 53509, 50851, 50964, 51907, 57102, 51948, 51160, 55279, 50851, 61197, 51081, 51160, 74055, 53509, 50851, 50964, 51049, 55270, 55279, 50851, 50964, 52227, 53415, 51489, 50896, 53509, 50851, 61197, 50968, 57231, 50807, 52066, 50441, 55279, 50851, 50964, 51049, 54478, 53509, 50851, 50964, 51049, 55854, 55279, 50851, 50964, 52227, 53639, 53509, 50851, 50964, 51907, 58031, 51489, 51160, 55279, 50851, 61197, 50968, 51160, 52066, 50456, 53509, 50851, 50964, 51049, 56573, 55279, 50851, 50964, 52227, 50833, 50799, 51435, 50896, 53509, 50851, 59372, 50931, 57231, 50807, 52066, 50417, 55279, 50851, 50945, 51049, 54711, 53509, 50851, 50945, 51049, 55054, 55279, 50851, 50945, 52227, 53049, 53509, 50851, 50945, 51907, 57102, 51435, 51160, 55279, 50851, 59372, 50931, 51160, 74055, 53509, 50851, 50945, 51049, 55270, 55279, 50851, 50945, 52227, 53415, 51489, 50896, 53509, 50851, 59372, 50968, 57231, 50807, 52066, 50441, 55279, 50851, 50945, 51049, 54478, 53509, 50851, 50945, 51049, 55854, 55279, 50851, 50945, 52227, 53639, 53509, 50851, 50945, 51907, 58031, 51489, 51160, 55279, 50851, 59372, 50968, 51160, 52066, 50456, 53509, 50851, 50945, 51049, 56573, 55279, 50851, 50945, 52227, 50833, 50799, 51578, 50896, 53509, 50851, 59372, 50999, 57231, 50807, 52066, 50417, 55279, 50851, 50945, 51049, 54711, 53509, 50851, 50945, 51049, 55054, 55279, 50851, 50945, 52227, 53049, 53509, 50851, 50945, 51907, 57102, 51578, 51160, 55279, 50851, 59372, 50999, 51160, 74055, 53509, 50851, 50945, 51049, 55270, 55279, 50851, 50945, 52227, 53415, 51489, 50896, 53509, 50851, 59372, 50968, 57231, 50807, 52066, 50441, 55279, 50851, 50945, 51049, 54478, 53509, 50851, 50945, 51049, 55854, 55279, 50851, 50945, 52227, 53639, 53509, 50851, 59372, 50770, 50321, 58799, 58031, 51489, 50896, 55279, 50851, 78094, 50851, 59372, 50968, 50896, 52066, 50456, 53509, 50851, 50945, 51049, 56573, 55279, 50851, 78094, 50851, 50945, 52227, 50833, 50799, 53509, 50851, 50945, 52218, 50807, 52066, 50417, 55279, 50851, 50945, 51049, 54711, 53509, 50851, 50945, 51049, 55054, 55279, 50851, 50945, 78362, 53509, 50851, 50945, 51907, 52959, 52765, 55279, 50851, 50945, 51049, 54150, 53509, 50851, 50945, 51049, 55270, 55279, 50851, 50945, 51049, 51724, 53509, 50851, 50945, 52218, 50807, 52066, 50441, 55279, 50851, 50945, 51049, 54478, 53509, 50851, 50945, 51049, 55854, 55279, 50851, 50945, 51049, 51757, 53509, 50851, 50945, 51907, 52959, 52809, 55279, 50851, 50945, 51049, 54622, 53509, 50851, 50945, 51049, 56573, 55279, 50851, 50945, 53365, 50799, 53509, 50851, 50945, 52218, 50807, 52066, 50417, 55279, 50851, 50945, 51049, 54711, 53509, 50851, 50945, 51049, 55054, 55279, 50851, 50945, 78362, 53509, 50851, 50945, 51907, 52959, 52765, 55279, 50851, 50945, 51049, 54150, 53509, 50851, 50945, 51049, 55270, 55279, 50851, 50945, 51049, 51724, 53509, 50851, 50945, 52218, 50807, 52066, 50441, 55279, 50851, 50945, 51049, 54478, 53509, 50851, 50945, 51049, 55854, 55279, 50851, 78094, 50851, 50945, 51049, 51757, 53509, 50851, 50945, 51907, 52959, 52809, 55279, 50851, 78094, 50851, 50945, 51049, 54622, 53509, 50851, 50945, 51049, 56573, 55279, 50851, 78094, 50851, 50945, 53365, 50799, 53509, 50851, 51096, 52218, 50807, 52066, 50417, 55279, 50851, 51096, 51049, 54711, 53509, 50851 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 980, 177, 16464, 6, 4246, 13305, 6, 38668, 20535, 6, 21072, 6, 3459, 9590, 6, 8, 36075, 8669, 4, 8504, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 1769, 20889, 9, 24543, 163, 5683, 4, 20, 33215, 16739, 9, 3676, 406, 6, 274, 6, 1918, 6, 272, 401, 6, 8, 274, 3639, 7, 63, 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, 0, 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, 55746, 69927, 52286, 50795, 55026, 53308, 51118, 50795, 79428, 54486, 53470, 51061, 50795, 74602, 55562, 53969, 51061, 50795, 74602, 55562, 53794, 51020, 50795, 71057, 57381, 53702, 51020, 51358, 51209, 51358, 57381, 51591, 54837, 51894, 54486, 51894, 61627, 51061, 50807, 51256, 50807, 55562, 55441, 51061, 50795, 74602, 54645, 51110, 55156, 51110, 55562, 51110, 55746, 51557, 50795, 52000, 50795, 54645, 53308, 51083, 50795, 51322, 50795, 55156, 53470, 51061, 50795, 74602, 55562, 53969, 51061, 50795, 74602, 55562, 53794, 51020, 50795, 71057, 57381, 53702, 51020, 50807, 51209, 50807, 57381, 50914, 54837, 51894, 55156, 51894, 52591, 51023, 50795, 51229, 50795, 60390, 53466, 51061, 50807, 51256, 50807, 55562, 55965, 51089, 50807, 51366, 50807, 56276, 55441, 51089, 50795, 51366, 50795, 54601, 51110, 54486, 51110, 56276, 51110, 55746, 51118, 50795, 79428, 54486, 53308, 51061, 50795, 74602, 55562, 53470, 51020, 50795, 71057, 57381, 53969, 51023, 50795, 51229, 50795, 60390, 53794, 51193, 50795, 51408, 50795, 61297, 53702, 51193, 50918, 51408, 50918, 55156, 51103, 55562, 51103, 61297, 51103, 66243, 51092, 50983, 51334, 50983, 55156, 51189, 55562, 51189, 61893, 69830, 51023, 50918, 51229, 50918, 60390, 51103, 55562, 51307, 61893, 51307, 55746, 51020, 50807, 51209, 50807, 57381, 55965, 51023, 50807, 51229, 50807, 60390, 55441, 51061, 50795, 74602, 55562, 53702, 51193, 50807, 51408, 50807, 55562, 50914, 61297, 50914, 61893, 50914, 55746, 51023, 50807, 51229, 50807, 55562, 50914, 60390, 50914, 61893, 56157, 51020, 50918, 51209, 50918, 56276, 51591, 57381, 51591, 61893, 51591, 55746, 69927, 52286, 50795, 55026, 53308, 51118, 50795, 79428, 54486, 53470, 51061, 50795, 74602, 55562, 53969, 51061, 50795, 74602, 55562, 53794, 51020, 50795, 71057, 57381, 53702, 51020, 51358, 51209, 51358, 57381, 51591, 54837, 51894, 54486, 51894, 61627, 51061, 50807, 51256, 50807, 55562, 55441, 51061, 50795, 74602, 54645, 51110, 55156, 51110, 55562, 51110, 55746, 51557, 50795, 52000, 50795, 54645, 53308, 51083, 50795, 51322, 50795, 55156, 53470, 51061, 50795, 74602, 55562, 53969, 51061, 50795, 74602, 55562, 53794, 51020, 50795, 71057, 57381, 53702, 51020, 50807, 51209, 50807, 57381, 50914, 54837, 51894, 55156, 51894, 52591, 51023, 50795, 51229, 50795, 60390, 53466, 51061, 50807, 51256, 50807, 55562, 55965, 51089, 50807, 51366, 50807, 56276, 55441, 51089, 50795, 51366, 50795, 54601, 51110, 54486, 51110, 56276, 51110, 55746, 51118, 50795, 79428, 54486, 53308, 51061, 50795, 74602, 55562, 53470, 51020, 50795, 71057, 57381, 53969, 51023, 50795, 51229, 50795, 60390, 53794, 51193, 50795, 51408, 50795, 61297, 53702, 51193, 50918, 51408, 50918, 55156, 51103, 55562, 51103, 61297, 51103, 66243, 51092, 50983, 51334, 50983, 55156, 51189, 55562, 51189, 61893, 69830, 51023, 50918, 51229, 50918, 60390, 51103, 55562, 51307, 61893, 51307, 55746, 51020, 50807, 51209, 50807, 57381, 55965, 51023, 50807, 51229, 50807, 60390, 55441, 51061, 50795, 74602, 55562, 53702, 51193, 50795, 51408, 50795, 55562, 50849, 61297, 50849, 61893, 50849, 50799, 51193, 50795, 51408, 50795, 55562, 50849, 61297, 50849, 61893, 53466, 51023, 50795, 51229, 50795, 55562, 50849, 60390, 50849, 61893, 53308, 51023, 50795, 51229, 50795, 55562, 50849, 60390, 50849, 61893, 53969, 51020, 50795, 71057, 56276, 50849, 57381, 50849, 61893, 53794, 51020, 52382, 51209, 52382, 56276, 53259, 57381, 53259, 61893, 53259, 50796, 50796, 50444, 58084, 50849, 55026, 50849, 54601, 50849, 51099, 54554, 58084, 50849, 55026, 50849, 54601, 50849, 51099, 55273, 58084, 50849, 55026, 50849, 54837, 50849, 51119, 50860, 50799, 58084, 50849, 55026, 50849, 54837, 50849, 52785, 50830, 51876, 50830, 51119, 50860, 51632, 50830, 51222, 51730, 76167, 65234, 54658, 52785, 50830, 51876, 50830, 51632, 50830, 51222, 51049, 54156, 52785, 50830, 51876, 50830, 51632, 50830, 51222, 51907, 52625, 52726, 52785, 50830, 51876, 50830, 51632, 50830, 51222, 51049, 54431, 58084, 50849, 55026, 50849, 54645, 50849, 52785, 50830, 51876, 50830, 51308, 50802, 51632, 50830, 51222, 51730, 52625, 52940, 58084, 50849, 55026, 50849, 54645, 50849, 52785, 50830, 51876, 50830, 51308, 50802, 51632, 50830, 51222, 51730, 51156, 54208, 58084, 50849, 55026, 50849, 54645, 50849, 52785, 50830, 51876, 50830, 51308, 50802, 51632, 50830, 51222, 51907, 52625, 52884, 58084, 51124, 55026, 51124, 54837, 51124, 52785, 50830, 51876, 50830, 51119, 50802, 51632, 50830, 51222, 51049, 50855, 62871, 50830, 51876, 50830, 51632, 50830, 51222, 51730, 52625, 53213, 52785, 50830, 51876, 50830, 51632, 50830, 51222, 51049, 54156, 52785, 50830, 51876, 50830, 51632, 50830, 51222, 51907, 52625, 52726, 52785, 50830, 51876, 50830, 51632, 50830, 51222, 51049, 54431, 52785, 50830, 51876, 50830, 51632, 50830, 51222, 51730, 52625, 52940, 58084, 50849, 55026, 50849, 54601, 50849, 52785, 50830, 51876, 50830, 51099, 50802, 51632, 50830, 51222, 51730, 51156, 54208, 58084, 50849, 55026, 50849, 54601, 50849, 52785, 50830, 51876, 50830, 51099, 50802, 51632, 50830, 51222, 51907, 52625, 52884, 58084, 50849, 55026, 50849, 54837, 50849, 52785, 50830, 51876, 50830, 51119, 50802, 51632, 50830, 51222, 51049, 50855, 50799, 77030, 51110, 58084, 51110, 54837, 51110, 52537, 50830, 51708, 50830, 51119, 50802, 51785, 50830, 51046, 51730, 52625, 53213, 52537, 50830, 51708, 50830, 51785, 50830, 51046, 51049, 54156, 52537, 50830, 51708, 50830, 51785, 50830, 51046, 51907, 52625, 52726, 52537, 50830, 51708, 50830, 51785, 50830, 51046, 51049, 54431, 77030, 50849, 58084, 50849, 54645, 50849, 52537, 50830, 51708, 50830, 51308, 50802, 51785, 50830, 51046, 51730, 52625, 52940, 77030, 50849, 58084, 50849, 54645, 50849, 52537, 50830, 51708, 50830, 51308, 50802, 51785, 50830, 51046, 51730, 51156, 54208, 77030, 50849, 58084, 50849, 54645, 50849, 52537, 50830, 51708, 50830, 51308, 50802, 51785, 50830, 51046, 51907, 52625, 52884, 77030, 51110, 58084, 51110, 54837, 51110, 52537, 50830, 51708, 50830, 51119, 50802, 51785, 50830, 51046, 51049, 50855, 67094, 50830, 51708, 50830, 51785, 50830, 51046, 51730, 52625, 53213, 52537, 50830, 51708, 50830, 51785, 50830, 51046, 51049, 54156, 52537, 50830, 51708, 50830, 51785, 50830, 51046, 51907, 52625, 52726, 52537, 50830, 51708, 50830, 51785, 50830, 51046, 51049, 54431, 52537, 50830, 51708, 50830, 51785, 50830, 51046, 51730, 52625, 52940, 77030, 50849, 58084, 50849, 54601, 50849, 52537, 50830, 51708, 50830, 51099, 50802, 51785, 50830, 51046, 51730, 51156, 54208, 77030, 50849, 58084, 50849, 54601, 50849, 52537, 50830, 51708, 50830, 51099, 50802, 51785, 50830, 51046, 51907, 52625, 52884, 77030, 50849, 58084, 50849, 54837, 50849, 52537, 50830, 51708, 50830, 51119, 50802, 51785, 50830, 51046, 51049, 50855, 50799, 56586, 51189, 54837, 51189, 54486, 51189, 53038, 50830, 51706, 50830, 51119, 51029, 52237, 50830, 51348, 51730, 52625, 53213, 53038, 50830, 51706, 50830, 52237, 50830, 51348, 51049, 54156, 53038, 50830, 51706, 50830, 52237, 50830, 51348, 51907, 52625, 52726, 65283, 51124, 56586, 51124, 54645, 51124, 53038, 50830, 51706, 50830, 51144, 50802, 52237, 50830, 51348, 51049, 54431, 53038, 50830, 51706, 50830, 52237, 50830, 51348, 51730, 52625, 52940, 53038, 50830, 51706, 50830, 52237, 50830, 51348, 51730, 51156 ]
[ 0, 250, 15352, 30054, 8, 19448, 3495, 2214, 4246, 41, 21979, 8669, 816, 5, 483, 33301, 6, 7513, 30, 41, 3459, 9590, 8, 21072, 4, 20, 1349, 16, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 12312, 13410, 228, 2289, 4, 20, 33215, 16739, 1171, 2060, 119, 6, 12608, 6, 274, 406, 6, 274, 119, 406, 428, 245, 73, 717, 428, 6, 8, 12608, 6, 2351, 10, 32625, 5466, 14, 7630, 6568, 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 ]	[ 57739, 57342, 53142, 50872, 52222, 50939, 52062, 51037, 52335, 51325, 69564, 56088, 58278, 53495, 63749, 51164, 52500, 51039, 52543, 52872, 51246, 51174, 76337, 56278, 55477, 51037, 52980, 73508, 51325, 53530, 64429, 51187, 52543, 52904, 51325, 51295, 52120, 52793, 54704, 50848, 51241, 50444, 80067, 50970, 54791, 52543, 50870, 51955, 51187, 51987, 55223, 50909, 52482, 50456, 51325, 56525, 51539, 52543, 50870, 59007, 51051, 50992, 51051, 50939, 51051, 51125, 51051, 51846, 51679, 51317, 51134, 51325, 51218, 52120, 52793, 58516, 51017, 52069, 51039, 52543, 52872, 50868, 52528, 50992, 52528, 50939, 52528, 51125, 52528, 57653, 56261, 50428, 50872, 51803, 50432, 51846, 50932, 51317, 51109, 51817, 54312, 51539, 52543, 52904, 50939, 52519, 51817, 51141, 52120, 52793, 52616, 57653, 52543, 53003, 51846, 50972, 51317, 50901, 56278, 52579, 51011, 53959, 54539, 52543, 50870, 60620, 64286, 56088, 51187, 52793, 58010, 52543, 52872, 51846, 51174, 51136, 50878, 56278, 55477, 51396, 61211, 50432, 51105, 51103, 52799, 51502, 51187, 52543, 50870, 63664, 52793, 55698, 51396, 51535, 50444, 51846, 50912, 51136, 54791, 52543, 50870, 51955, 51187, 51987, 52579, 51133, 51047, 58009, 52543, 50870, 75158, 52980, 50992, 51243, 51846, 50851, 51136, 53309, 51044, 52793, 52761, 50979, 52431, 63678, 52872, 50847, 65825, 50885, 52140, 57653, 51987, 52417, 51396, 53486, 51846, 50827, 72879, 51105, 50914, 58009, 52543, 50870, 63664, 52793, 52616, 55518, 52256, 51325, 51100, 57653, 52543, 53003, 51846, 50822, 51136, 50833, 51105, 50838, 51190, 51901, 51987, 52579, 51796, 57567, 51539, 52543, 50870, 57342, 53142, 50872, 52222, 50939, 52062, 51037, 52335, 51325, 59250, 56088, 51187, 52793, 58010, 52543, 52872, 51246, 51174, 76337, 56278, 55477, 51164, 52311, 50432, 51325, 50901, 52799, 51502, 51187, 52543, 52904, 51720, 51295, 52120, 52793, 52616, 80067, 50970, 54791, 52543, 50870, 51955, 51187, 51987, 52579, 51325, 50897, 58009, 52543, 50870, 50799, 51846, 51679, 51317, 51134, 51325, 51417, 52120, 52793, 55376, 50868, 53486, 50992, 53486, 50939, 53486, 51125, 53486, 51039, 52543, 50870, 72451, 51987, 55477, 51164, 51591, 50432, 51846, 50932, 51317, 51109, 51817, 55955, 51539, 52543, 57892, 51037, 51413, 50438, 51817, 51562, 52120, 52793, 52616, 57653, 52543, 59265, 51396, 51961, 51037, 51961, 51017, 51961, 50868, 51961, 50449, 51017, 78271, 51846, 50972, 51317, 50901, 56278, 52579, 51325, 50937, 58009, 52543, 50870, 75158, 51277, 51796, 67839, 56088, 51187, 52793, 52761, 50885, 52335, 63678, 58409, 50979, 56515, 50426, 50979, 52222, 51846, 51174, 51136, 50878, 56278, 52417, 50992, 51939, 50927, 51650, 64429, 51187, 52543, 52904, 51105, 51218, 52120, 52793, 52616, 51846, 50912, 51136, 50810, 63678, 50870, 51955, 51187, 51987, 52579, 70431, 58009, 52543, 50870, 50799, 51846, 50851, 51136, 50813, 51325, 68113, 53837, 51987, 52761, 73770, 57134, 51149, 50978, 50913, 52872, 50885, 51047, 50992, 51047, 51298, 51047, 50920, 52417, 51846, 50827, 72879, 50927, 54371, 54463, 50870, 52594, 54114, 51105, 58379, 52539, 52616, 50804, 52755, 59002, 50676, 50340, 54914, 51298, 54554, 51846, 50822, 51136, 50833, 60606, 70232, 51987, 53922, 51298, 55273, 50804, 52245, 55397, 51298, 50860, 75158, 51277, 51325, 68113, 56088, 58278, 53495, 58516, 51257, 50976, 57783, 52335, 63678, 52872, 51298, 51505, 50979, 52222, 51846, 51174, 51136, 50878, 56278, 52417, 50992, 51939, 52053, 53530, 64429, 51187, 52543, 59118, 50909, 61283, 52446, 52053, 51291, 52120, 52793, 62047, 51298, 51894, 50444, 51846, 50912, 51136, 54791, 52543, 50870, 51955, 51187, 51987, 52579, 51325, 50910, 58009, 52543, 50870, 50799, 51846, 50851, 51136, 50813, 51325, 51189, 52120, 52793, 52761, 73770, 59300, 57134, 63678, 52872, 50885, 51047, 50979, 51047, 50992, 51047, 57653, 51987, 52417, 51846, 50827, 72879, 52053, 53097, 51539, 52543, 52904, 52053, 51189, 52120, 52793, 52616, 51298, 56571, 51187, 52543, 53003, 51846, 50822, 51136, 50833, 56278, 52579, 51325, 56525, 51539, 52543, 61010, 51298, 50802, 59560, 52518, 50979, 52518, 50847, 52518, 50939, 52518, 51796, 64286, 56088, 51187, 52793, 55138, 51257, 53213, 51257, 51156, 52543, 58409, 51149, 53578, 51149, 58798, 51207, 51174, 73065, 56278, 59551, 51298, 67772, 50885, 53233, 50979, 53233, 50847, 53233, 50939, 53233, 51105, 51103, 52799, 51502, 51187, 52543, 60591, 50909, 50928, 50909, 50873, 63664, 52793, 58780, 51298, 51258, 51298, 51714, 50444, 51207, 50912, 79509, 63678, 50870, 51955, 51187, 51987, 52579, 51133, 51047, 58009, 52543, 50870, 61108, 50851, 50986, 53309, 51044, 52793, 58010, 52543, 50870, 72451, 51987, 52417, 51207, 50827, 65499, 51105, 50914, 58009, 52543, 50870, 63664, 52793, 52616, 51325, 51100, 57653, 52543, 59002, 51298, 52175, 51298, 50802, 51207, 50822, 67295, 51105, 50838, 56278, 52579, 51796, 57567, 51539, 52543, 58908, 51298, 50823, 70128, 51277, 51325, 68113, 56088, 51187, 52793, 52761, 50885, 52335, 63678, 59109, 50944, 51243, 50422, 50939, 51293, 50423, 51257, 64131, 50979, 52222, 52028, 51174, 73065, 56278, 50820, 73508, 51298, 51173, 50939, 51939, 52053, 53530, 64429, 51187, 52543, 52904, 52053, 51291, 52120, 52793, 62047, 51298, 51675, 50444, 52028, 50912, 50986, 54791, 52543, 50870, 51955, 51187, 51987, 52579, 51325, 50910, 58009, 52543, 50870, 50799, 52028, 50851, 74036, 51325, 51189, 52120, 52793, 52761, 73770, 57230, 61809, 51840, 50978, 63678, 52872, 50885, 51047, 50944, 51047, 50939, 51047, 51257, 51047, 57653, 56261, 50430, 50944, 51167, 50431, 50939, 59959, 51298, 50976, 52028, 50827, 65499, 52053, 53097, 51539, 52543, 52904, 50944, 50911, 52053, 51189, 52120, 52793, 55698, 50939, 50976, 51298, 60815, 57653, 52543, 59002, 50944, 51012, 50446, 50939, 73704, 51298, 58317, 52028, 50822, 67295, 56278, 53922, 50944, 72747, 51257, 57859, 50939, 59315, 51257, 50976, 51325, 56525, 51539, 52543, 58908, 51017, 53849, 50872, 53849, 50992, 53478, 51125, 55174, 71755, 50993, 52022, 70353, 56088, 51187, 52793, 55376, 50939, 65201, 51298, 70373, 52543, 52872, 51317, 51174, 51169, 50878, 56278, 55477, 51125, 51021, 73508, 51325, 53877, 64429, 51187, 52543, 59118, 50909, 54930, 51325, 51295, 52120, 52793, 55698, 51125, 51336, 50444, 51317, 50912, 51169, 50810, 63678, 50870, 51955, 51187, 51987, 52579, 52022, 53097, 51539, 52543, 50870, 75961, 50851, 51169, 50813, 52022, 51115, 52120, 52793, 58010, 52543, 52872, 50885, 55964, 51187, 51987, 52417, 51017, 50802, 51317, 50827, 51169, 50857, 51325, 57567, 51539, 52543, 52904, 51017, 51878, 51325, 50915, 52120, 52793, 55698, 50885, 62894, 50872, 52256, 57653, 52543, 59002, 51017, 52610, 50992, 51172, 51317, 50822, 51169, 50833, 52022, 50914, 56278, 60752, 50885, 50883, 50988, 52931, 51125, 51008, 58009, 52543, 58908, 50868, 50924, 50458, 50992, 51008, 65310, 64286, 56088, 51187, 52793, 63749, 50868, 61798, 50992, 51541, 50419, 51298, 51388, 51039, 52543, 52872, 50850, 51306, 51317, 51174, 51169, 50878, 56278, 55477, 51125, 51138, 73508, 53926, 54312, 64429, 51187, 52543, 59118, 50909, 57626, 53926, 51141, 52120, 52793, 62047, 51125, 51161, 50992, 64880, 50444, 51317, 50912, 51169, 50810, 63678, 50870, 51955, 51187, 51987, 52579, 52022, 53309, 51539, 52543, 50870, 50799, 51125, 51243, 51317, 50851, 51169 ]
[ 0, 250, 20902, 8, 15352, 30054, 3495, 12, 267, 7706, 24904, 2125, 6, 42, 2214, 22750, 1626, 11098, 8, 8593, 26358, 4, 590, 10, 182, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 3185, 30, 5, 20425, 3222, 5785, 9, 13305, 6, 21979, 9590, 6, 13602, 6757, 6, 3459, 13305, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 272, 538, 6, 24, 1575, 10, 16331, 33215, 16739, 9, 230, 73, 495, 6, 272, 6, 211, 6, 230, 73, 495, 6, 8, 272, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 67004, 50903, 50845, 71750, 77046, 50903, 51481, 62177, 50840, 52612, 65170, 50903, 51101, 56871, 50840, 55985, 50813, 51809, 50801, 50840, 52385, 53168, 51309, 50424, 52385, 50425, 51771, 50827, 59493, 51111, 52385, 50429, 55009, 51309, 50437, 52385, 52114, 55608, 50801, 50840, 52385, 53643, 51309, 50449, 50801, 50840, 69798, 52003, 50827, 53061, 51111, 52068, 50454, 55009, 51309, 50799, 52385, 50415, 53168, 73416, 50801, 50840, 52385, 52114, 51309, 50427, 52385, 53897, 67825, 50804, 52201, 50813, 52114, 51277, 50439, 52385, 50440, 56614, 75396, 50801, 50840, 52385, 50444, 53795, 51277, 50451, 50801, 50840, 52385, 50452, 52003, 53176, 50804, 52201, 50813, 53795, 51277, 51809, 52385, 50417, 52003, 53004, 50801, 50840, 52385, 53168, 51309, 50428, 52385, 50429, 51771, 60952, 50804, 51111, 52385, 55009, 51309, 51572, 60672, 52114, 63107, 50801, 50840, 52385, 53643, 51309, 50454, 50801, 50840, 52385, 52003, 50933, 54124, 51111, 52385, 55009, 51277, 52478, 52385, 50419, 53168, 50827, 61890, 50840, 52385, 52114, 51309, 50431, 52385, 53897, 50827, 52594, 52201, 50813, 52114, 51309, 50443, 52385, 50444, 56614, 54043, 50801, 50840, 52385, 53795, 51309, 50455, 50801, 50840, 71843, 52003, 50827, 55985, 52201, 50813, 53795, 51277, 50796, 51039, 62846, 52003, 64999, 50801, 50840, 52385, 53168, 51309, 50433, 52385, 55654, 50864, 54476, 50864, 53205, 50827, 51771, 50827, 55935, 51111, 52068, 50437, 55009, 51277, 50445, 52385, 50446, 52114, 65311, 50801, 50840, 69798, 55654, 51381, 54476, 51381, 53952, 51381, 53643, 51277, 57268, 50840, 52385, 52003, 50933, 55669, 51111, 52385, 50415, 55009, 51277, 50422, 52385, 50423, 53168, 52580, 50801, 50840, 52385, 50427, 52114, 51309, 51556, 50813, 55561, 50827, 54676, 50827, 53897, 66143, 50804, 52201, 50813, 61947, 51277, 52114, 51309, 51618, 60168, 57533, 50827, 56614, 62970, 50801, 50840, 52385, 50452, 67281, 51172, 53795, 51277, 50460, 50801, 50840, 52385, 54476, 51484, 57537, 51484, 52003, 50827, 51809, 50804, 52201, 50813, 53795, 51309, 50424, 52385, 52003, 71707, 50801, 50840, 52385, 53168, 51309, 50437, 52385, 55654, 50825, 54476, 50825, 53205, 50864, 51771, 50827, 53012, 51111, 52068, 50442, 55009, 51277, 50449, 69798, 52114, 65415, 50801, 50840, 52385, 55654, 51283, 54476, 51283, 53952, 51283, 53643, 51277, 51755, 50840, 52385, 52003, 50827, 57493, 51111, 52068, 50419, 55009, 51277, 51544, 63567, 53168, 64755, 50801, 50840, 52385, 50431, 52114, 51309, 50439, 50804, 76327, 50440, 55561, 50827, 54676, 50827, 53897, 50827, 62177, 51582, 53103, 61947, 51309, 52114, 51277, 57688, 76327, 50452, 57533, 50827, 56614, 68926, 50801, 50840, 71843, 67281, 51172, 53795, 51277, 55985, 50840, 51809, 52006, 51071, 50840, 52385, 54476, 51309, 57537, 51172, 52003, 50933, 55207, 50840, 52385, 50421, 53795, 51309, 57453, 50840, 54321, 50840, 52385, 52003, 74374, 51098, 51121, 70239, 51101, 50435, 53168, 50838, 50442, 52078, 65891, 51771, 63107, 51098, 64210, 51111, 50856, 51101, 53205, 50838, 54921, 50838, 52451, 50838, 52796, 51277, 50447, 53168, 51277, 50454, 52078, 50855, 53952, 51080, 53256, 51627, 52892, 51627, 52592, 51080, 50455, 51771, 59972, 51098, 51221, 70239, 59097, 53168, 51309, 52478, 52078, 53530, 54507, 51771, 50827, 53951, 51111, 50856, 51101, 50423, 51098, 51178, 50424, 53168, 51309, 50431, 52078, 50855, 51771, 53720, 51098, 51178, 70239, 50845, 54676, 50933, 53205, 51006, 52892, 50933, 53281, 50933, 50436, 53168, 72194, 52078, 54840, 51771, 50827, 52612, 54367, 50845, 50448, 51098, 51178, 54676, 50933, 53205, 51006, 52892, 50933, 53281, 51006, 53168, 68590, 52078, 50855, 51771, 64224, 51098, 51221, 70239, 51101, 54676, 50838, 53205, 50838, 52892, 50838, 53281, 51277, 50461, 53168, 51309, 52591, 50801, 64729, 52078, 50855, 54476, 51484, 53205, 51172, 54921, 51172, 52451, 51484, 51771, 50827, 57453, 54367, 69115, 51098, 51178, 53168, 51309, 50433, 52078, 60085, 51771, 62551, 51098, 51221, 70239, 68535, 53168, 51277, 50446, 52078, 50855, 51771, 65311, 51098, 67526, 51111, 50856, 65295, 53205, 50838, 54921, 51006, 52451, 51006, 52796, 50838, 53168, 51309, 50458, 52078, 50855, 53952, 51080, 53256, 51080, 52892, 51080, 52592, 51080, 51771, 50827, 53458, 51178, 70239, 74023, 53168, 51277, 50422, 52078, 53530, 55081, 51771, 50827, 51302, 51111, 50856, 51101, 50427, 51098, 51221, 53168, 51309, 50435, 52078, 62439, 51771, 66143, 51098, 51121, 70239, 50845, 54676, 50933, 53205, 51006, 52892, 51006, 53281, 78017, 53168, 51277, 50447, 52078, 70832, 51771, 50827, 50452, 51493, 67526, 54367, 50845, 54676, 51006, 53205, 51006, 52892, 51006, 53281, 51006, 56805, 51309, 50460, 51984, 50833, 52126, 50827, 51809, 51140, 50873, 70239, 51101, 50417, 54676, 50838, 53205, 50838, 52892, 51277, 53281, 51277, 53362, 51309, 50424, 50801, 59066, 51793, 50855, 54476, 51199, 53205, 51484, 54921, 51484, 52451, 51199, 51890, 54889, 51705, 64210, 54367, 50845, 58195, 51309, 50437, 53262, 50855, 52775, 55608, 51098, 51121, 70239, 51101, 50442, 53168, 51277, 50449, 52078, 50855, 51771, 50827, 53061, 54367, 70172, 51098, 51221, 53205, 50838, 54921, 50838, 52451, 51006, 52796, 50838, 53168, 51309, 66269, 50855, 53952, 51080, 53256, 51627, 52892, 51627, 52592, 51080, 51771, 73416, 51098, 51178, 70239, 50845, 50419, 53168, 51277, 62578, 64502, 52078, 65216, 51771, 50827, 57096, 51111, 50856, 51101, 50431, 51098, 71992, 53168, 51277, 50439, 52078, 70686, 51771, 75396, 51098, 51178, 70239, 50845, 54676, 50933, 53205, 51006, 52892, 51006, 53281, 57940, 53168, 51309, 50452, 52078, 59012, 51771, 53176, 51098, 74741, 54367, 50845, 54676, 51006, 53205, 51006, 52892, 50933, 53281, 67590, 53168, 51277, 52177, 52078, 50855, 51771, 53004, 70239, 51101, 50421, 51098, 51178, 54676, 51006, 53205, 51006, 52892, 51006, 53281, 51006, 53168, 51309, 50429, 52078, 53933, 50840, 54476, 50932, 53205, 51199, 54921, 51199, 52451, 50932, 50430, 51771, 60952, 51098, 67526, 54367, 50845, 53168, 51309, 50441, 52078, 64781, 51771, 63107, 51098, 51178, 70239, 51101, 50446, 53168, 51277, 50454, 52078, 50855, 51771, 65241, 51098, 67526, 51111, 50856, 51101, 53205, 50838, 54921, 51006, 52451, 51006, 52796, 50838, 53168, 51309, 52478, 52078, 50855, 53952, 51080, 53256, 51627, 52892, 51627, 52592, 51080, 50419, 51771, 64560, 51098, 51178, 70239, 58861, 53168, 51172, 50430, 50801, 59955, 52078, 54216, 51771, 53720, 51098, 67526, 51111, 50856, 51101, 50436, 53168, 51277, 50443, 52078, 50855, 51771, 54043, 51098, 51178, 70239, 50845, 54676, 50933, 53205, 51006, 52892, 51006, 53281, 50933, 53168, 68590, 52078, 50855, 51771, 64224, 51493, 67526, 53406, 51101, 54676, 50933, 53205, 51006, 52892, 50933, 53281, 50933, 56805, 51309, 52591, 51984, 53933, 54218, 50840, 52126, 50933, 50424, 51140, 51178, 70239, 51101, 50425, 54676, 50838, 53205, 51006, 52892, 50838, 53281, 50838, 53362, 70402, 51890, 60952, 51793, 50855, 54476, 51484, 53205, 51484, 54921, 51484, 52451, 51199, 50437, 51705, 67526, 51463, 51052, 51101, 58195, 51309, 50445, 53262, 50855, 52775, 69945, 51098, 51178, 52006, 51698, 50813, 53168, 51277, 50458, 52078, 50855, 52385, 55654, 50864, 54476, 50864, 53205, 50864, 56483, 51111, 52068, 53458, 51178, 50422, 52078, 50855, 52068, 50427, 51098, 74117, 50840, 52385, 59410 ]
[ 0, 250, 765, 6, 20425, 5175, 37903, 11, 272, 538, 6, 4246, 10, 13305, 4, 85, 18, 278, 11, 10, 204, 73, 306, 86, 6543, 19, 41, 12447, 1001, 20889, 9, 9680, 163, 5683, 6, 8, 6308, 10, 881, 21263, 9, 5, 33215, 16739, 211, 119, 6, 1918, 406, 428, 245, 6, 272, 6, 1918, 406, 428, 245, 6, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 57213, 50931, 52296, 57213, 50931, 51628, 56143, 50968, 52831, 56143, 50968, 51757, 56143, 50902, 51754, 62942, 57213, 55331, 78858, 52296, 57213, 50931, 51628, 56143, 50968, 52831, 56143, 50968, 51757, 56143, 50902, 51754, 62942, 57213, 55694, 64441, 52296, 62942, 50902, 51628, 62942, 50902, 52831, 56143, 50968, 51757, 56143, 50931, 51754, 57213, 57061, 55331, 78858, 52296, 57213, 50931, 51628, 57213, 50931, 52831, 57213, 50931, 51757, 57213, 50931, 51754, 57213, 57061, 54960, 50800, 50968, 52296, 56143, 50968, 51628, 56143, 50968, 52831, 56143, 50968, 51757, 56143, 50931, 51754, 56143, 60003, 57289, 72355, 52296, 61097, 50951, 51628, 61097, 50951, 52831, 61097, 50951, 51757, 61097, 50951, 51754, 61097, 60003, 54960, 50800, 50968, 52296, 56143, 50968, 51628, 56143, 50968, 52831, 56143, 50968, 51757, 56143, 50931, 51754, 56143, 60003, 55331, 78858, 52296, 57213, 50931, 51628, 57213, 50931, 52831, 61097, 50951, 51757, 61097, 50951, 51754, 61097, 60003, 58106, 50634, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 713, 20425, 3152, 2214, 6, 30291, 19, 10, 3495, 18105, 12203, 6, 22750, 1626, 11098, 8, 657, 149, 63, 17627, 17274, 34879, 4, 1698, 30514, 30, 81, 9756, 8, 2382, 3459, 29589, 6, 3459, 9590, 6, 3551, 139, 6, 8, 2342, 4467, 6, 24, 11498, 10, 23667, 20889, 9, 10572, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 272, 538, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 1918, 406, 6, 272, 6, 230, 6, 272, 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 ]	[ 67004, 52150, 52115, 51770, 51631, 51323, 51736, 51940, 51646, 51770, 51918, 51323, 51798, 51770, 50807, 50799, 53253, 52115, 51770, 51631, 51593, 51736, 54022, 51646, 51770, 51918, 51593, 51798, 51940, 52496, 52643, 50804, 50808, 52198, 50808, 50799, 52657, 50807, 52150, 50795, 51571, 50807, 51580, 69496, 76868, 50807, 70154, 70710, 52124, 50807, 51815, 74641, 50807, 51118, 68894, 71638, 52221, 52764, 52734, 51770, 51428, 53049, 52657, 50795, 61602, 51571, 50983, 51580, 50983, 51200, 50983, 51347, 50983, 51404, 50983, 51323, 50983, 52124, 50983, 51815, 50983, 51282, 50983, 51118, 50983, 51089, 50983, 51023, 61711, 52559, 52657, 50807, 51940, 51428, 52877, 51770, 51918, 52657, 50795, 67017, 58743, 59350, 60883, 61602, 61602, 66469, 51815, 61992, 60109, 57599, 57965, 51428, 52848, 52657, 50807, 51571, 50807, 51580, 69496, 76868, 50807, 70154, 70710, 51770, 50807, 52124, 50807, 51815, 74641, 50807, 51118, 68894, 71638, 52496, 50800, 50799, 52657, 50795, 53253, 50795, 51571, 50983, 51580, 50983, 51200, 50983, 51347, 50983, 51404, 50983, 51323, 50983, 52124, 50983, 51815, 50983, 51282, 50983, 51118, 50983, 51089, 50983, 51023, 55157, 52734, 52657, 50795, 51770, 51428, 53049, 52657, 50795, 51593, 51626, 52559, 52657, 50807, 54022, 50795, 51571, 50807, 51580, 69496, 76868, 50807, 70154, 70710, 52124, 50807, 51815, 74641, 50807, 51118, 68894, 71638, 52221, 52877, 51770, 51918, 52018, 50795, 77143, 72347, 57285, 68663, 51593, 50795, 51763, 63215, 56970, 58281, 65779, 51428, 52848, 52018, 50795, 51409, 77536, 74493, 65258, 50807, 51746, 50807, 51940, 50807, 51763, 76314, 61538, 77169, 51208, 52496, 55456, 65202, 52018, 50795, 66169, 50795, 52150, 50795, 51571, 50807, 51580, 69496, 76868, 50807, 70154, 70710, 52124, 50807, 51815, 74641, 50807, 51118, 68894, 71638, 52221, 52734, 52657, 50795, 51770, 51428, 53049, 52657, 50795, 61602, 51571, 50983, 51580, 50983, 51200, 50983, 51347, 50983, 51404, 50983, 51323, 50983, 52124, 50983, 51815, 50983, 51282, 50983, 51118, 50983, 51089, 50983, 51023, 61711, 52559, 51940, 51428, 52877, 52657, 50807, 51770, 51918, 67017, 58743, 59350, 60883, 61602, 61602, 66469, 51815, 61992, 60109, 57599, 57965, 51428, 52848, 52657, 50807, 51571, 50807, 51580, 69496, 76868, 50807, 70154, 70710, 51770, 50807, 52124, 50807, 51815, 74641, 50807, 51118, 68894, 71638, 52496, 50800, 50799, 52657, 50795, 53253, 50795, 51571, 50983, 51580, 50983, 51200, 50983, 51347, 50983, 51404, 50983, 51323, 50983, 52124, 50983, 51815, 50983, 51282, 50983, 51118, 50983, 51089, 50983, 51023, 55157, 52734, 52657, 50795, 51770, 51428, 53049, 52657, 50795, 51593, 51626, 52559, 52657, 50807, 54022, 50795, 51571, 50807, 51580, 69496, 76868, 50807, 70154, 70710, 52124, 50807, 51815, 74641, 50807, 51118, 68894, 71638, 52221, 52877, 51770, 51918, 52018, 50795, 77143, 72347, 57285, 68663, 51593, 50795, 51763, 63215, 56970, 58281, 65779, 51428, 52848, 52018, 50795, 51409, 77536, 74493, 65258, 50807, 51746, 50807, 51940, 50807, 51763, 76314, 61538, 77169, 51208, 52496, 51754, 52018, 50795, 68742, 50983, 77088, 69176, 52150, 51492, 51616, 60109, 63566, 67213, 50795, 51789, 60055, 51498, 50849, 51616, 53466, 51498, 50845, 51616, 53387, 51817, 50807, 77088, 69176, 51616, 60109, 63566, 67213, 50795, 51596, 57222, 51498, 50849, 51616, 53969, 51817, 50795, 51498, 50845, 51616, 53562, 51817, 50807, 77088, 69176, 51616, 60109, 63566, 67213, 50795, 51752, 53312, 51498, 50849, 51616, 50849, 68742, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 50795, 51789, 60055, 51498, 50849, 51616, 53466, 51498, 50845, 51616, 53387, 51133, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 50795, 51596, 57222, 51498, 50849, 51616, 53969, 51498, 50845, 51616, 53562, 51271, 50807, 51498, 76868, 76221, 50807, 51616, 50807, 51118, 72677, 52221, 51626, 50795, 51752, 51923, 51789, 50918, 58124, 50983, 79320, 60883, 72654, 57599, 67213, 52115, 51580, 50849, 51815, 53466, 51580, 50845, 51815, 53387, 51415, 50983, 79320, 60883, 72654, 57599, 67213, 50795, 51596, 57222, 51580, 50849, 51815, 53969, 51580, 50845, 51815, 53562, 51415, 50807, 79320, 60883, 72654, 57599, 67213, 50795, 51752, 51923, 51580, 50849, 51815, 50849, 51789, 50983, 58124, 50983, 79320, 60883, 72654, 57599, 67213, 52115, 51580, 50849, 51815, 53466, 51580, 50845, 51815, 53387, 51415, 59919, 60971, 60883, 72654, 57599, 67213, 51646, 51415, 59919, 50849, 51815, 50849, 51752, 53218, 51415, 59919, 50845, 51815, 53562, 73438, 51580, 66544, 50807, 70154, 51815, 50807, 51595, 68894, 52221, 51626, 50795, 51596, 51923, 51789, 50918, 62114, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 52115, 51498, 50849, 51616, 53466, 51498, 50845, 51616, 53387, 51720, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 50795, 51596, 52424, 51498, 50849, 51616, 53969, 51498, 50845, 51616, 50845, 51752, 52728, 51720, 50807, 77088, 69176, 51616, 60109, 63566, 67213, 51923, 51498, 50849, 51616, 50849, 51789, 50983, 62114, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 52115, 51498, 50849, 51616, 53466, 51498, 50845, 51616, 53387, 51817, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 51646, 51498, 50849, 51616, 50849, 51596, 53218, 51498, 50845, 51616, 53562, 73438, 51498, 76868, 76221, 50807, 51616, 50807, 51118, 72677, 52221, 51626, 50795, 51752, 51923, 51789, 51358, 58124, 50983, 79320, 60883, 72654, 57599, 67213, 52115, 51580, 50849, 51815, 53466, 51580, 50845, 51815, 53387, 51415, 50983, 79320, 60883, 72654, 57599, 67213, 51646, 51580, 50849, 51815, 53969, 51580, 50845, 51815, 53562, 51415, 50807, 79320, 60883, 72654, 57599, 67213, 51923, 51580, 50849, 51815, 50849, 58124, 50983, 79320, 60883, 72654, 57599, 67213, 52115, 51580, 50849, 51815, 53466, 51580, 50845, 51815, 53387, 51415, 50983, 79320, 60883, 72654, 57599, 67213, 50795, 51752, 57222, 51580, 50849, 51815, 53969, 51580, 50845, 51815, 53562, 73438, 51580, 66544, 50807, 70154, 51815, 50807, 51595, 68894, 52221, 51626, 50795, 51596, 51923, 50804, 50795, 51789, 51358, 58124, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 57877, 54226, 51498, 50849, 51616, 53466, 51498, 50845, 51616, 53387, 51415, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 51646, 51498, 50849, 51616, 50849, 51789, 56027, 51498, 50845, 51616, 53562, 73438, 77088, 69176, 51616, 60109, 63566, 67213, 51923, 51498, 50849, 51616, 50849, 68742, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 50795, 51789, 54994, 51498, 50849, 51616, 53466, 51498, 50845, 51616, 53387, 51133, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 51646, 51498, 50849, 51616, 50849, 51596, 53218, 51498, 50845, 51616, 53562, 51271, 50807, 51498, 76868, 76221, 50807, 51616, 50807, 51118, 72677, 52221, 51626, 50795, 51752, 51923, 51789, 50807, 58124, 50983, 79320, 60883, 72654, 57599, 67213, 52115, 51580, 50849, 51815, 50849, 51789, 59492, 51580, 50845, 51815, 53387, 51415, 50983, 79320, 60883, 72654, 57599, 67213, 51646, 51580, 50849, 51815, 50849, 51596, 53218, 51580, 50845, 51815, 53562, 51415, 50807, 79320, 60883, 72654, 57599, 67213, 50795, 51752, 51923, 51580, 50849, 51815, 50849, 51789, 50918, 58124, 59919, 60971, 60883, 72654, 57599, 67213, 52115, 51415, 50807, 51580, 50849, 51815, 53466, 51580, 50845, 51815, 53387, 51415, 50807, 79320 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 2214, 19, 41, 1365, 6288, 16464, 6, 4246, 13305, 6, 21677, 32909, 6, 31391, 1672, 9590, 6, 8, 38668, 22052, 6, 7513, 30, 32625, 2236, 1021, 2678, 29, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 2125, 3136, 23, 41, 178, 5285, 20889, 6, 7630, 14805, 10, 5679, 26709, 8, 1372, 5466, 1969, 13, 5, 1619, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 52584, 50808, 56698, 51036, 51476, 51353, 51687, 51307, 51231, 51353, 50847, 52115, 51416, 61030, 51742, 50426, 52584, 50910, 50979, 74521, 50885, 52519, 51094, 50299, 50808, 51410, 51353, 51303, 51307, 51249, 63560, 51684, 66031, 65125, 50872, 60316, 52993, 50925, 51037, 51210, 50431, 51037, 51134, 50848, 51241, 78657, 50459, 51037, 51097, 50460, 50979, 51203, 51094, 50300, 50859, 51687, 51518, 51231, 51518, 51414, 51518, 50847, 51391, 50420, 52585, 53049, 54785, 50910, 51037, 52996, 50432, 50847, 51448, 50438, 50979, 52256, 50444, 51037, 52034, 50450, 51416, 50805, 51476, 50825, 51687, 50837, 51231, 52920, 51526, 54454, 51410, 51293, 51303, 51359, 51414, 51353, 59560, 51241, 50419, 75548, 50426, 50872, 70057, 50872, 51178, 69815, 50939, 79959, 55285, 57824, 53248, 58305, 56139, 51194, 71596, 50897, 52326, 51692, 51687, 51518, 51231, 51592, 56698, 51307, 51476, 51518, 50909, 51867, 50321, 51174, 56955, 50929, 52115, 51416, 62812, 52140, 51136, 53770, 52584, 50917, 50909, 51452, 51032, 51573, 51065, 73080, 51257, 51291, 51094, 50299, 50808, 51414, 55277, 51410, 52062, 51303, 52222, 50420, 51684, 56709, 51742, 50960, 51591, 50426, 52993, 50897, 51257, 51127, 50970, 51183, 51065, 73080, 50909, 51115, 50947, 51091, 51094, 50300, 50830, 51476, 52168, 51687, 51939, 51231, 51677, 50420, 52585, 52710, 54785, 50897, 50979, 50933, 69047, 64957, 51136, 50959, 67765, 50986, 51051, 51065, 51653, 50432, 50979, 51576, 50847, 51172, 50885, 52188, 50986, 51363, 51136, 51221, 50929, 68031, 51416, 50805, 51476, 50825, 51687, 50825, 51231, 63431, 61574, 64203, 53137, 51526, 52382, 51410, 51313, 51303, 51359, 51414, 51353, 50848, 51749, 50872, 51397, 50939, 51448, 58700, 51364, 50419, 72094, 65404, 51100, 51065, 52030, 51064, 51290, 57702, 55433, 50852, 50974, 75235, 52500, 51929, 51896, 51607, 51585, 52603, 51941, 52257, 51941, 63899, 51132, 54187, 51483, 52093, 50420, 51416, 50849, 51416, 50849, 51471, 50425, 51281, 50961, 51092, 50883, 51061, 53516, 52584, 50836, 52584, 63088, 52715, 55649, 52993, 50813, 52993, 50867, 70658, 52908, 50911, 52584, 50914, 52584, 56001, 51653, 61974, 55272, 51173, 59056, 51607, 50883, 51929, 50884, 52603, 50884, 52257, 50846, 52908, 50893, 52993, 50841, 52993, 50841, 51061, 50883, 51281, 50961, 51092, 62794, 51805, 52884, 51669, 51896, 52327, 51977, 51607, 51685, 52914, 50893, 51526, 51896, 51526, 51977, 50798, 50860, 52261, 50461, 52561, 51933, 50799, 52105, 51039, 52639, 51061, 50961, 51193, 50895, 51083, 64654, 51805, 50811, 51361, 50841, 55511, 50805, 51526, 51370, 58780, 52584, 61985, 51607, 50921, 52603, 51286, 52257, 50911, 54258, 51158, 52584, 50978, 51931, 50449, 55298, 50828, 55298, 54208, 52327, 50841, 51669, 50839, 55301, 50991, 55301, 51346, 51083, 50884, 51061, 50883, 51193, 72185, 51052, 52884, 51929, 51486, 51607, 52536, 52603, 52536, 52257, 51941, 51762, 50460, 50798, 50829, 75235, 52536, 73710, 51132, 55195, 51483, 52261, 50419, 51416, 55689, 51416, 50845, 57451, 52584, 50862, 52584, 50862, 51061, 50895, 51281, 50883, 51092, 71074, 51805, 52726, 52993, 50829, 52993, 50862, 68039, 52908, 50923, 52584, 50943, 52584, 56001, 51603, 52093, 50444, 55272, 51173, 59056, 51929, 50818, 51607, 50895, 52603, 50895, 52257, 50828, 52908, 50806, 52993, 50841, 52993, 50867, 51281, 76334, 77553, 72185, 51052, 52884, 51607, 51215, 51669, 51685, 52327, 51977, 52914, 51111, 51526, 50967, 51526, 59962, 51012, 51762, 50799, 52561, 51227, 52261, 50420, 51515, 51318, 51526, 51336, 55239, 51773, 50943, 52561, 56970, 50884, 51061, 50961, 51193, 67344, 51805, 52726, 52655, 50890, 52086, 51048, 63709, 64864, 52257, 50936, 51607, 50952, 52603, 50948, 54258, 51100, 51882, 51432, 51416, 50833, 51416, 51589, 55685, 51526, 66092, 51526, 53639, 51669, 50846, 52327, 50841, 51773, 50834, 52077, 59821, 51602, 51290, 51602, 51055, 51083, 50884, 51061, 50883, 51193, 67344, 51805, 52884, 51929, 51161, 51607, 52392, 52603, 52392, 52257, 52392, 52105, 50460, 50798, 50829, 75235, 52500, 51132, 52090, 51483, 52093, 50420, 51416, 50805, 61236, 52584, 77727, 50883, 51092, 50884, 51061, 72185, 51805, 52726, 52993, 50862, 63709, 52908, 51012, 52584, 52221, 51505, 52112, 50444, 55272, 51060, 55723, 51929, 50818, 51607, 50884, 52603, 50884, 52257, 50818, 52908, 50795, 52993, 79165, 50895, 51281, 50961, 51061, 72185, 51805, 52884, 51607, 51358, 51669, 51896, 52327, 51896, 52914, 51060, 51526, 51551, 50798, 50860, 52093, 50799, 52561, 51591, 52558, 51039, 52639, 51083, 50884, 51061, 50961, 51193, 71074, 51805, 50811, 51361, 54665, 51526, 57352, 51526, 50879, 51570, 53044, 51607, 50940, 52603, 50936, 52257, 50936, 54258, 51173, 52584, 50805, 60899, 51669, 50818, 51773, 50834, 52327, 50839, 55298, 50818, 51083, 50884, 51061, 50883, 51193, 72185, 51805, 52884, 51929, 52392, 51607, 52500, 52603, 52536, 52257, 52392, 51132, 51090, 51762, 50460, 50798, 50841, 75235, 52500, 50798, 51388, 52093, 50420, 51416, 50849, 60454, 52584, 50828, 51061, 71701, 50890, 51281, 62794, 51805, 52726, 52993, 51559, 52621, 52908, 50923, 52584, 52221, 51012, 52093, 50444, 55272, 51060, 56890, 51929, 50841, 52603, 50895, 51607, 50841, 52257, 50828, 52908, 50805, 52993, 79720, 50883, 51281, 50961, 51092, 62794, 51805, 52884, 51669, 51055, 52327, 51661, 51607, 51215, 52914, 51177, 51526, 58571, 66363, 50855, 50799, 52561, 51267, 50791, 54402, 51515, 52015, 51526, 52282, 64612, 51773, 51148, 52561, 51697, 51061, 50949, 51193, 50883, 51083, 64654, 51805, 58221, 52655, 54937, 52327, 51218, 52086, 51080, 51762, 51570, 50836, 52129, 51021, 59207, 51929, 50942, 51607, 50845, 52603, 50937, 52584, 50879, 50903, 52715, 52884, 51773, 50849, 51669, 50866, 52327, 51003, 55298, 55859, 61764, 61407, 76759, 71062, 57036, 54507, 51515, 52071, 51526, 51175, 60454, 51773, 51692, 50903, 52715, 52726, 51669, 51675, 52327, 51675, 51526, 60181, 50855, 51570, 52878, 51416, 53632, 51021, 52105, 50447, 51526, 58332, 51602, 51055, 50903, 53903, 51453, 60112, 50798, 50839, 79053, 51941, 52603, 51585, 52257, 51941, 53369, 51991, 73710, 51476, 51538, 51687, 51933, 51231, 51161, 56698, 51933, 50798, 51237, 52558, 50420, 51416, 50805, 58522, 52584, 65889, 50890, 51281, 50883, 51061, 56088, 52853, 52726, 52993, 50836, 56270, 52908, 51012, 52584, 52221, 76456, 52210, 55272, 51060, 60899, 52603, 50846, 52257, 50884, 54258, 50839, 52908, 50805, 52993, 50834, 51092, 50895, 51281, 50961, 51061, 50884, 51231, 50883, 51687, 50818, 51414, 59281, 52853, 52884, 51669, 51623, 52327, 51977, 54258, 51896, 52914, 51158, 51526, 50918, 51410, 51538, 51303, 51585, 51414, 51896, 50798, 51745, 52093, 50799, 52561, 51112, 52105, 51039, 52641, 52561, 50901, 51083, 77185, 50883, 51193, 71074, 53903, 50431, 52655, 54937, 52086, 50943, 51762, 50436, 51526, 50841, 55511, 51212, 52261, 50443, 51882, 67367, 52603, 50911, 52257, 50911, 54258, 50806, 52584, 50833, 51687, 51030, 51231, 51030, 51414, 50948, 52261, 50449, 52077, 50981, 51083, 50884, 51061, 50961, 51193, 54755, 51669, 50839, 52327, 50834, 55298, 51116, 51414, 50834, 51410, 50828, 51303, 56088, 51156, 52884, 52603, 52392, 53369, 51307, 51607, 52069, 52257, 51894, 51476, 52392, 51687, 52536, 51231, 52392, 56698, 51696, 52105, 50460, 50798, 50884, 52894, 55732, 51932, 52093 ]
[ 0, 250, 33928, 8, 15352, 30054, 5175, 3495, 2214, 19, 10, 2365, 8, 1619, 619, 6, 4246, 3459, 13305, 6, 2352, 6757, 6, 38668, 9590, 6, 21072, 6, 8, 15679, 642, 1543, 6, 278, 11, 10, 1769, 20889, 8, 204, 73, 306, 86, 6543, 11, 5, 762, 9, 230, 538, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50799, 57862, 50880, 54977, 50811, 52645, 50880, 53359, 50880, 52114, 51156, 57466, 54977, 50880, 55128, 50811, 51995, 50880, 52114, 50880, 51890, 51156, 52905, 55010, 50880, 54391, 50811, 56227, 50880, 51816, 50880, 51959, 51156, 56720, 54602, 50921, 55339, 50823, 56287, 50921, 51771, 50921, 52158, 51805, 50828, 51570, 58275, 57281, 50880, 55546, 50811, 54009, 50880, 52951, 50880, 52003, 51156, 53035, 66205, 50880, 56445, 50811, 56292, 50880, 55009, 50880, 52647, 51156, 57461, 54977, 50980, 57237, 51066, 56287, 50980, 52114, 50980, 52126, 51066, 52093, 50799, 76113, 61862, 56345, 50434, 51340, 53746, 53593, 53826, 58198, 53257, 52565, 52713, 51055, 50653, 50340, 51331, 50380, 52439, 57000, 61741, 52587, 51055, 51340, 53746, 56637, 52093, 50799, 51340, 50958, 57466, 54391, 50921, 55585, 50823, 51959, 50921, 52930, 51805, 50828, 51768, 51041, 56720, 54391, 50880, 62882, 50803, 51959, 50880, 54462, 51052, 55816, 53294, 54391, 50921, 55585, 50823, 52475, 50896, 51959, 50921, 52930, 53547, 58275, 61741, 52713, 50896, 51340, 52439, 61765, 54391, 50880, 62882, 50803, 51959, 50880, 54462, 51052, 50828, 50799, 54391, 50921, 55585, 50823, 51959, 50921, 52930, 53547, 57466, 61862, 55339, 50880, 54304, 50823, 52158, 50880, 52092, 50823, 55347, 56720, 55010, 50921, 56146, 50823, 69799, 51816, 50921, 52569, 50823, 67610, 53294, 52587, 50921, 56345, 50446, 52587, 51864, 53035, 51758, 50806, 51340, 52439, 61765, 52093, 50799, 56345, 50422, 54391, 50921, 55585, 50823, 51959, 50921, 52930, 51805, 50828, 51768, 51041, 56720, 54391, 50880, 62882, 50803, 51959, 50880, 54462, 51052, 55816, 53294, 54391, 50921, 55585, 50823, 52475, 50896, 51959, 50921, 52930, 53547, 58275, 54391, 50921, 55585, 50823, 51959, 50921, 52930, 51805, 53035, 52713, 50896, 51340, 52439, 60715, 54391, 50880, 56146, 50811, 51959, 50880, 52569, 58150, 52093, 50799, 55339, 50921, 55849, 50823, 52158, 50921, 52627, 53547, 57466, 52093, 51768, 51041, 56720, 52687, 50880, 67610, 53294, 52645, 50921, 56345, 50446, 52645, 51864, 53035, 51995, 50806, 51340, 52439, 61765, 52093, 50799, 56345, 50422, 54391, 50921, 55585, 50823, 51959, 50921, 52930, 51805, 50828, 51768, 51041, 56720, 54391, 50880, 62882, 50803, 51959, 50880, 54462, 51052, 55816, 53294, 54391, 50921, 55585, 50823, 52475, 50896, 51959, 50921, 52930, 53547, 58275, 61741, 52713, 50896, 51340, 52439, 61765, 54391, 50880, 62882, 50803, 51959, 50880, 54462, 51052, 50828, 50799, 54391, 50921, 55585, 50823, 51959, 50921, 52930, 53547, 57466, 61862, 55339, 50880, 54304, 50823, 52158, 50880, 52092, 50823, 55347, 56720, 55010, 50921, 56146, 50823, 69799, 51816, 50921, 52569, 50823, 67610, 53294, 52587, 50921, 56345, 50446, 52587, 51864, 53035, 51758, 50806, 51340, 52439, 61765, 52093, 50799, 56345, 50422, 54391, 50921, 55585, 50823, 51959, 50921, 52930, 51805, 50828, 51768, 51041, 56720, 54391, 50880, 62882, 50803, 51959, 50880, 54462, 51052, 55816, 53294, 54391, 51167, 55585, 50975, 52475, 50896, 51959, 51167, 52930, 50975, 56345, 50446, 54602, 51167, 54391, 50975, 51771, 51167, 51959, 50975, 61741, 52713, 50896, 51340, 52439, 61807, 54602, 51167, 54304, 50975, 51771, 51167, 52092, 77567, 52093, 50799, 55010, 51167, 56146, 50975, 51758, 51167, 51816, 51167, 52569, 50975, 56345, 50418, 50801, 57466, 52093, 51768, 51041, 56720, 53026, 55816, 53294, 50852, 50380, 53746, 59117, 53257, 58275, 53026, 50380, 53746, 53035, 53026, 50380, 52439, 57461, 52093, 50799, 55339, 50921, 54304, 50823, 52687, 50921, 52158, 50921, 52092, 50823, 51881, 51151, 52093, 50418, 76113, 55339, 50880, 54304, 50811, 52158, 50880, 52092, 50926, 50608, 53087, 54304, 50921, 56146, 50823, 52687, 50896, 52092, 50921, 52569, 55996, 54304, 50880, 56146, 50811, 52092, 50880, 52569, 56658, 64282, 51658, 55304, 51187, 58275, 55339, 50811, 50698, 50318, 50880, 52158, 67598, 53711, 61854, 50823, 64749, 50921, 54337, 50823, 53615, 61765, 52093, 50799, 55010, 50921, 54391, 50823, 52475, 50921, 51816, 50921, 51959, 50823, 52133, 51151, 52093, 50418, 76113, 55010, 50880, 54391, 50811, 51816, 50880, 51959, 50926, 50608, 53087, 54391, 50921, 56146, 50823, 52475, 50896, 51959, 50921, 52569, 55996, 54391, 50880, 56146, 50811, 51959, 50880, 52569, 56658, 64282, 51658, 51187, 58275, 55010, 50811, 74288, 50880, 51816, 67598, 53711, 59058, 50823, 61263, 50880, 53826, 50823, 53615, 61765, 52093, 50799, 54602, 50921, 55339, 50823, 51995, 50921, 51771, 50921, 52158, 50823, 53181, 51151, 52093, 50418, 76113, 54602, 50880, 55339, 50811, 51771, 50880, 52158, 50926, 50608, 53087, 55339, 50921, 54304, 50823, 51995, 50896, 52158, 50921, 52092, 55996, 55339, 50880, 54304, 50811, 52158, 50880, 52092, 56658, 64282, 51658, 55304, 51187, 58275, 54602, 50811, 50698, 50314, 50880, 51771, 67598, 53711, 58757, 50823, 57720, 50880, 54057, 50823, 53615, 61765, 52093, 50799, 55128, 50921, 55010, 50823, 51758, 50921, 51890, 50921, 51816, 50823, 53389, 51151, 52093, 50418, 76113, 55128, 50880, 55010, 50811, 51890, 50880, 51816, 50926, 50608, 53087, 55010, 50921, 54391, 50823, 51758, 50896, 51816, 50921, 51959, 55996, 55010, 50880, 54391, 50811, 51816, 50880, 51959, 56658, 64282, 51658, 51187, 58275, 55128, 50811, 75228, 50880, 51890, 67598, 53711, 55585, 50823, 55471, 50880, 52930, 50823, 53615, 61765, 52093, 50799, 55339, 50921, 54304, 50823, 52687, 50921, 52158, 50921, 52092, 50823, 51881, 51151, 52093, 50418, 76113, 55339, 50880, 54304, 50811, 52158, 50880, 52092, 50926, 50608, 53087, 54304, 50921, 56146, 50823, 52687, 50896, 52092, 50921, 52569, 55996, 54304, 50880, 56146, 50811, 52092, 50880, 52569, 56658, 64282, 51658, 55304, 51187, 58275, 55339, 50811, 50698, 50318, 50880, 52158, 67598, 53711, 61854, 50823, 64749, 50921, 54337, 50823, 53615, 61765, 52093, 50799, 57255, 50921, 54304, 50823, 54076, 50921, 52427, 50921, 52092, 50823, 54720, 51151, 52093, 50418, 76113, 57255, 50880, 54304, 50811, 52427, 50880, 52092, 50926, 50608, 53087, 54304, 50921, 56146, 50823, 54076, 50896, 52092, 50921, 52569, 55996, 54304, 50880, 56146, 50811, 52092, 50880, 52569, 56658, 64282, 51658, 51187, 58275, 57255, 50880, 50698, 50318, 50880, 52427, 71687, 53711, 61854, 50823, 64749, 50880, 54337, 50823, 53615, 61765, 52093, 50799, 54391, 50921, 56968, 50823, 52713, 51167, 51959, 50921, 52577, 50823, 53817, 50915, 50422, 54391, 50880, 56968, 50811, 51959, 50880, 52577, 51156, 52905, 54304, 50921, 56146, 50823, 53386, 51167, 52092, 50921, 52569, 50823, 53389, 50915, 52190, 59382, 54304, 50880, 56146, 50811, 52092, 50880, 52569, 51156, 67576, 53294, 56967, 50921, 58827, 50823, 54456, 51167, 53234, 50921, 54282, 50823, 53181, 50915, 50446, 56967, 50880, 58827, 50811, 53234, 50880, 54282, 51156, 78931, 53711, 56968, 50921, 55849, 50823, 54813, 51167, 52577, 50921, 52627, 50823, 53541, 50915, 52190, 61765, 56968, 50880, 55849, 50811, 52577, 50880, 52627, 51156, 50828, 70963, 50896, 52133, 51151, 50422, 55849, 50880, 59058, 50811, 52627, 50880, 53826, 51156, 52905, 53257, 68016, 53257, 61426, 53257, 50883, 55703, 50385, 53746, 53294, 55849, 50921, 59058, 50823, 52587, 50896, 52627, 50921, 53826, 50823, 52365, 50883, 55894, 53711, 53257, 50883, 50799, 56345, 50422, 54391, 50921, 55585, 50823, 51959, 50921, 52930, 51805, 50828 ]
[ 0, 250, 2635, 8, 19448, 5175, 25771, 2125, 11, 230, 538, 6, 4246, 10, 13305, 816, 10, 15352, 30054, 4782, 81, 10, 33215, 16739, 9, 230, 6, 272, 6, 274, 4, 20, 2214, 11498, 10, 23758, 3938, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 1472, 9, 23975, 1825, 8, 36474, 13005, 1328, 63, 765, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 51774, 70939, 66662, 66662, 53765, 53369, 51274, 51774, 51274, 51440, 51274, 52327, 68249, 53369, 50806, 51515, 50806, 51607, 50806, 52043, 52610, 53369, 50896, 51614, 50896, 51773, 50896, 52327, 50896, 75235, 50896, 51660, 50896, 51773, 50896, 51669, 53765, 51440, 50806, 51607, 50806, 53369, 70295, 55224, 51434, 50806, 51773, 52322, 51515, 50806, 51440, 50806, 53369, 70939, 55451, 51434, 50806, 51773, 52610, 53369, 70295, 78119, 66662, 50896, 50799, 52806, 70939, 70295, 50896, 52327, 53765, 52557, 50896, 51614, 70295, 50896, 51669, 53585, 52806, 50896, 52435, 78119, 50896, 52043, 54526, 51614, 50896, 51614, 78119, 50896, 52327, 50896, 78940, 50896, 51614, 50896, 51773, 50896, 52257, 53765, 51440, 51196, 52327, 51196, 51774, 51585, 51774, 51585, 50450, 51434, 50896, 52043, 50896, 66629, 70939, 66662, 66662, 53765, 53369, 51274, 51774, 51274, 51440, 51274, 52327, 68249, 53369, 50806, 51515, 50806, 51607, 50806, 52043, 52610, 53369, 50896, 51614, 50896, 51773, 50896, 52327, 50896, 75235, 50896, 51660, 50896, 51773, 50896, 51669, 53765, 51440, 50806, 51607, 50806, 53369, 70295, 55224, 51434, 50806, 51773, 52322, 51515, 50806, 51440, 50806, 53369, 70939, 55451, 51434, 50806, 51773, 52610, 53369, 70295, 78119, 66662, 50896, 50799, 52806, 70295, 66662, 50896, 52327, 53765, 52769, 63415, 66662, 50896, 52043, 53585, 52769, 50896, 51660, 66662, 50896, 52257, 54526, 51515, 50806, 51669, 50806, 52769, 50896, 51808, 57024, 51660, 50806, 51607, 50806, 72721, 50806, 51669, 50806, 52769, 50896, 51808, 55419, 51434, 50806, 52043, 52247, 51774, 51585, 51660, 51585, 51607, 51585, 51607, 51585, 66629, 50896, 51660, 66662, 66662, 53765, 51774, 51274, 51434, 51274, 51607, 51274, 52043, 68249, 51774, 50806, 51434, 50806, 51607, 50806, 52043, 52610, 51774, 50896, 51660, 66662, 50896, 52257, 50896, 66629, 63415, 66662, 50896, 52043, 53765, 52557, 50896, 51660, 63415, 66662, 53585, 51669, 50806, 52557, 70939, 63415, 55451, 52043, 52610, 52806, 70939, 70295, 50896, 52327, 50896, 50799, 52806, 70295, 66662, 66662, 53765, 52557, 70295, 50896, 51773, 50896, 51669, 53585, 52557, 70939, 75949, 52043, 54526, 52806, 70939, 70295, 50896, 52327, 50896, 76759, 50896, 51614, 75949, 51773, 53765, 51515, 51196, 51440, 51196, 51774, 51585, 51774, 51585, 50450, 51660, 75949, 66629, 50896, 51660, 50896, 51773, 66662, 53765, 53369, 51274, 51774, 51274, 51440, 51274, 52327, 68249, 53369, 50806, 51515, 50806, 51607, 50806, 52043, 52610, 53369, 50896, 51614, 50896, 51773, 50896, 52327, 50896, 75235, 50896, 51660, 50896, 51773, 50896, 51669, 53765, 51440, 50806, 51607, 50806, 53369, 70295, 55224, 51434, 50806, 51773, 52322, 51515, 50806, 51440, 50806, 53369, 70939, 55451, 51434, 50806, 51773, 52610, 53369, 70295, 78119, 66662, 50896, 50799, 52806, 70295, 66662, 50896, 52327, 53765, 52557, 70295, 50896, 51773, 50896, 51669, 53585, 52557, 50896, 51614, 50896, 51773, 50896, 52257, 54526, 52327, 50806, 51774, 70939, 78119, 57024, 52043, 50806, 50799, 51669, 50806, 54437, 70939, 50896, 51773, 55419, 52043, 52247, 53369, 51585, 51774, 51585, 51440, 51585, 52327, 51585, 57333, 51774, 70939, 66662, 66662, 53765, 53369, 51274, 51774, 51274, 51440, 51274, 52327, 68249, 53369, 50806, 51515, 50806, 51607, 50806, 52043, 52610, 53369, 50896, 51614, 50896, 51773, 50896, 52327, 50896, 75235, 50896, 51660, 50896, 51773, 50896, 51669, 53765, 51440, 50806, 51607, 50806, 53369, 70295, 55224, 51434, 50806, 51773, 52322, 51515, 50806, 51440, 50806, 53369, 70939, 55451, 51434, 50806, 51773, 52610, 53369, 70295, 78119, 66662, 50896, 50799, 52806, 70939, 70295, 50896, 52327, 53765, 52557, 50896, 51614, 70295, 50896, 51669, 53585, 52806, 50896, 52435, 78119, 50896, 52043, 54526, 51614, 50896, 51614, 78119, 50896, 52327, 50896, 78940, 50896, 51614, 50896, 51773, 50896, 52257, 53765, 51440, 51196, 52327, 51196, 51774, 51585, 51774, 51585, 50450, 51434, 50896, 52043, 50896, 66629, 70939, 66662, 66662, 53765, 53369, 51274, 51774, 51274, 51440, 51274, 52327, 68249, 53369, 50806, 51515, 50806, 51607, 50806, 52043, 52610, 53369, 50896, 51614, 50896, 51773, 50896, 52327, 50896, 75235, 50896, 51660, 50896, 51773, 50896, 51669, 53765, 51440, 50806, 51607, 50806, 53369, 70295, 55224, 51434, 50806, 51773, 52322, 51515, 50806, 51440, 50806, 53369, 70939, 55451, 51434, 50806, 51773, 52610, 53369, 70295, 78119, 66662, 50896, 50799, 52806, 70295, 66662, 50896, 52327, 53765, 52769, 63415, 66662, 50896, 52043, 53585, 52769, 50896, 51660, 66662, 50896, 52257, 54526, 51515, 50806, 51669, 50806, 52769, 50896, 51808, 57024, 51660, 50806, 51607, 50806, 72721, 50806, 51669, 50806, 52769, 50896, 51808, 55419, 51434, 50806, 52043, 52247, 51774, 51585, 51660, 51585, 51607, 51585, 51607, 51585, 66629, 50896, 51660, 66662, 66662, 53765, 51774, 51274, 51434, 51274, 51607, 51274, 52043, 68249, 51774, 50806, 51434, 50806, 51607, 50806, 52043, 52610, 51774, 50896, 51660, 66662, 50896, 52257, 50896, 66629, 63415, 66662, 50896, 52043, 53765, 52557, 50896, 51660, 63415, 66662, 53585, 51669, 50806, 52557, 70939, 63415, 55451, 52043, 52610, 52806, 70939, 70295, 50896, 52327, 50896, 50799, 52806, 70295, 66662, 66662, 53765, 52557, 70295, 50896, 51773, 50896, 51669, 53585, 52557, 70939, 75949, 52043, 54526, 52806, 70939, 70295, 50896, 52327, 50896, 76759, 50896, 51614, 75949, 51773, 53765, 51515, 51196, 51440, 51196, 51774, 51585, 51774, 51585, 50450, 51660, 75949, 66629, 50896, 51660, 50896, 51773, 66662, 53765, 53369, 51274, 51774, 51274, 51440, 51274, 52327, 68249, 53369, 50806, 51515, 50806, 51607, 50806, 52043, 52610, 53369, 50896, 51614, 50896, 51773, 50896, 52327, 50896, 75235, 50896, 51660, 50896, 51773, 50896, 51669, 53765, 51440, 50806, 51607, 50806, 53369, 70295, 55224, 51434, 50806, 51773, 52322, 51515, 50806, 51440, 50806, 53369, 70939, 55451, 51434, 50806, 51773, 52610, 53369, 70295, 78119, 66662, 50896, 50799, 52806, 70295, 66662, 50896, 52327, 53765, 52557, 70295, 50896, 51773, 50896, 51669, 53585, 52557, 50896, 51614, 50896, 51773, 50896, 52257, 54526, 52327, 50806, 51774, 70939, 78119, 57024, 52043, 50806, 50799, 51669, 50806, 54437, 70939, 50896, 51773, 55419, 52043, 52247, 53369, 51585, 51774, 51585, 51440, 51585, 52327, 51585, 57333, 51774, 70939, 66662, 66662, 53765, 53369, 51274, 51774, 51274, 51440, 51274, 52327, 68249, 53369, 50806, 51515, 50806, 51607, 50806, 52043, 52610, 53369, 50896, 51614, 50896, 51773, 50896, 52327, 50896, 75235, 50896, 51660, 50896, 51773, 50896, 51669, 53765, 51440, 50806, 51607, 50806, 53369, 70295, 55224, 51434, 50806, 51773, 52322, 51515, 50806, 51440, 50806, 53369, 70939, 55451, 51434, 50806, 51773, 52610, 53369, 70295, 78119, 66662, 50896, 50799, 52806, 70939, 70295, 50896, 52327, 53765, 52557, 50896, 51614, 70295, 50896, 51669, 53585, 52806, 50896, 52435, 78119, 50896, 52043, 54526, 51614, 50896, 51614, 78119, 50896, 52327, 50896, 78940, 50896, 51614, 50896, 51773, 50896, 52257, 53765, 51440, 51196, 52327, 51196, 51774, 51585, 51774, 51585, 50450, 51434, 50896, 52043, 50896, 66629, 70939, 66662, 66662, 53765, 53369, 51274, 51774, 51274, 51440, 51274, 52327, 68249, 53369, 50806, 51515, 50806, 51607, 50806, 52043, 52610, 53369, 50896, 51614, 50896, 51773, 50896, 52327, 50896, 75235 ]
[ 0, 250, 15352, 30054, 3152, 8, 3495, 2214, 4246, 21979, 8, 81, 9756, 29589, 6, 31391, 1672, 9590, 6, 38668, 2236, 6, 8, 21072, 6, 278, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 38451, 3938, 20889, 6, 7630, 14805, 10, 3344, 9, 1372, 8, 19448, 6711, 29, 19, 12577, 2933, 8, 3722, 223, 34693, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50791, 54925, 50631, 50416, 50631, 50418, 50631, 51544, 80022, 50818, 52320, 50818, 57377, 50983, 50850, 51283, 51684, 57345, 50946, 50983, 50850, 51283, 51684, 53218, 51684, 51798, 50946, 55541, 50932, 51684, 50807, 57342, 50983, 51007, 50983, 51526, 57345, 50848, 64276, 50807, 51526, 53218, 50868, 77179, 51526, 51798, 52982, 51007, 50795, 51526, 53312, 50885, 50795, 56696, 57377, 51036, 50850, 51243, 51132, 57345, 51132, 53218, 51132, 51798, 51132, 51923, 73198, 57746, 50983, 50847, 51283, 51416, 57345, 50988, 50983, 50847, 51283, 51416, 58624, 50988, 55278, 50932, 51416, 50807, 57377, 50983, 50850, 51283, 51684, 59492, 53036, 51736, 50946, 50983, 50850, 51283, 51684, 50807, 53036, 60865, 51684, 51798, 50946, 55541, 50932, 51684, 50807, 52817, 50807, 57342, 50983, 51007, 50983, 51526, 50983, 52756, 51358, 50432, 50848, 64276, 50807, 51526, 53218, 50868, 77179, 76917, 52756, 51798, 52982, 51007, 50795, 51526, 50807, 52756, 53312, 50885, 50795, 56696, 57377, 50983, 50850, 51283, 51132, 50983, 52756, 73078, 50946, 55541, 50932, 51132, 53218, 50946, 53006, 50838, 51132, 51798, 50946, 50932, 69590, 51132, 51923, 73198, 53200, 50795, 57746, 50983, 50847, 51283, 51416, 50807, 53036, 52910, 51526, 50807, 52817, 53182, 50988, 50983, 50847, 51283, 54585, 50807, 52756, 52728, 50988, 50932, 72975, 51416, 50807, 53719, 50807, 57377, 50983, 50850, 51283, 51684, 50983, 53200, 52045, 50432, 50946, 50983, 50850, 51283, 51684, 53218, 51684, 51798, 50946, 55541, 50932, 51684, 50807, 57342, 50983, 51007, 50983, 51526, 57345, 50848, 64276, 50807, 51526, 53218, 50868, 77179, 51526, 51798, 52982, 51007, 50795, 51526, 50807, 53200, 53312, 50885, 50795, 56696, 57377, 50983, 50850, 51283, 51132, 50983, 54580, 73078, 50946, 55541, 50932, 51132, 53218, 50946, 53006, 50838, 51132, 51798, 50946, 50932, 69590, 51132, 51923, 73198, 57746, 50983, 50847, 51283, 51416, 50983, 53036, 52910, 52817, 53182, 50988, 50983, 50847, 51283, 51416, 57222, 52756, 52728, 50988, 50932, 72975, 51416, 50807, 53719, 50807, 57377, 50983, 50850, 51283, 51684, 50983, 52756, 52045, 50432, 50946, 50983, 50850, 51283, 51684, 53218, 51684, 51798, 50946, 55541, 50932, 51684, 50807, 57342, 50983, 51007, 51283, 51526, 57345, 74024, 51007, 51283, 51526, 53218, 51526, 51798, 50848, 64276, 50932, 51526, 50807, 63516, 50983, 51649, 51318, 52584, 50807, 52756, 61000, 52756, 51631, 52584, 50795, 52756, 53182, 75707, 51649, 51318, 52584, 52424, 52756, 53218, 52584, 51798, 50850, 50807, 51649, 50995, 52584, 50795, 52756, 53312, 73198, 59007, 50807, 51149, 50995, 51416, 50807, 53036, 52910, 50868, 50807, 51149, 50995, 78049, 52817, 53182, 51416, 52424, 50868, 50807, 51149, 50995, 52756, 53218, 51416, 51798, 50885, 51330, 50868, 50807, 51149, 50995, 51416, 57877, 50818, 53719, 53312, 78049, 58282, 54558, 50301, 54558, 50306, 54558, 50306, 56144, 54558, 50309, 57349, 77712, 51681, 50318, 54558, 50318, 50974, 51684, 51650, 51833, 61720, 57030, 50631, 50420, 51171, 75381, 50301, 75381, 50306, 75381, 50309, 75381, 50309, 57349, 75381, 50318, 53024, 51684, 51650, 51437, 52641, 51171, 54558, 50301, 54558, 50306, 54558, 50309, 77712, 54558, 50318, 77712, 51097, 51684, 50795, 55389, 61720, 50835, 54699, 50795, 52756, 51736, 51171, 75381, 50301, 75381, 50306, 75381, 50309, 75381, 50313, 75381, 50318, 53024, 51684, 51370, 50825, 54699, 50795, 52756, 51646, 51171, 53680, 50301, 76475, 70919, 70111, 53680, 50318, 51166, 51684, 51650, 51833, 61720, 50835, 54699, 50807, 52756, 53218, 51171, 55798, 50301, 55798, 50306, 55798, 50309, 55798, 50313, 55798, 50318, 51737, 51684, 51650, 51437, 52743, 51171, 54558, 50301, 54558, 50306, 54558, 50309, 77712, 54558, 50318, 51432, 51684, 50795, 55389, 61720, 50835, 54699, 50795, 52756, 51923, 51171, 58469, 50301, 58469, 50306, 58469, 50309, 58469, 50313, 58469, 50318, 51697, 51684, 51370, 50825, 54699, 50795, 52756, 50795, 62193, 57574, 50293, 57574, 50301, 57574, 50305, 57574, 50308, 57574, 50313, 57574, 50317, 57574, 50320, 57574, 50325, 51387, 54144, 51650, 51833, 61720, 50835, 54699, 50795, 52756, 52115, 50946, 75381, 50305, 75381, 50308, 75381, 50313, 75381, 50317, 75381, 50320, 75381, 50325, 53024, 54144, 51650, 51437, 50837, 54783, 50807, 53719, 52910, 51688, 57574, 50293, 57574, 50301, 57574, 50305, 57574, 50308, 57574, 50313, 57574, 50317, 57574, 50320, 57574, 50325, 57574, 50320, 52783, 54144, 50795, 55389, 61720, 52818, 50946, 50363, 50815, 50305, 50363, 50815, 50308, 50363, 50815, 50313, 50363, 50815, 50317, 50363, 50815, 50320, 50363, 50815, 50325, 50363, 50815, 50328, 51675, 54144, 51370, 50837, 54783, 50918, 53719, 56039, 51688, 57574, 50293, 57574, 50301, 57574, 50305, 57574, 50308, 57574, 50313, 57574, 50317, 57574, 50320, 57574, 50325, 51387, 54144, 51650, 51833, 61720, 52875, 50946, 50363, 50815, 50305, 50363, 50815, 50308, 50363, 50815, 50313, 50363, 50815, 50317, 50363, 50815, 50320, 50363, 50815, 50325, 53313, 54144, 51650, 51437, 52763, 51688, 57574, 50293, 57574, 50301, 57574, 50305, 57574, 50308, 57574, 50313, 57574, 50317, 57574, 50320, 57574, 50325, 57574, 50304, 51852, 54144, 50795, 55389, 61720, 53137, 50946, 50363, 50815, 50305, 50363, 50815, 50308, 50363, 50815, 50313, 50363, 50815, 50317, 50363, 50815, 50320, 50363, 50815, 50325, 53313, 54144, 51370, 50837, 58282, 54558, 50301, 54558, 50306, 54558, 50306, 58736, 54558, 50309, 58176, 77712, 67814, 54558, 50318, 50838, 51684, 51650, 51833, 61720, 53023, 51171, 75381, 50301, 75381, 50306, 75381, 50309, 75381, 50309, 58176, 75381, 50318, 53024, 51684, 51650, 51437, 50837, 57619, 50974, 54580, 56307, 51171, 54558, 50301, 54558, 50306, 54558, 50309, 77712, 54558, 50318, 77712, 51627, 51684, 50795, 55389, 61720, 50835, 54699, 50795, 52756, 51736, 51171, 75381, 50301, 75381, 50306, 75381, 50309, 75381, 50313, 75381, 50318, 53024, 51684, 51370, 50837, 54699, 50795, 52756, 51646, 51171, 53680, 50301, 76475, 70919, 70111, 53680, 50318, 51166, 51684, 51650, 51833, 61720, 50835, 54699, 50795, 52756, 51918, 51171, 55798, 50301, 55798, 50306, 55798, 50309, 55798, 50313, 55798, 50318, 51737, 51684, 51650, 51437, 50825, 54699, 50807, 52756, 52728, 51171, 54558, 50301, 54558, 50306, 54558, 50309, 77712, 54558, 50318, 51432, 51684, 50795, 55389, 61720, 53137, 51171, 58469, 50301, 58469, 50306, 58469, 50309, 58469, 50313, 58469, 50318, 51697, 51684, 51370, 50837, 54699, 50795, 52756, 50795, 62193, 57574, 50293, 57574, 50301, 57574, 50305, 57574, 50308, 57574, 50313, 57574, 50317, 57574, 50320, 57574, 50325, 51387, 54144, 51650, 51833, 61720, 50835, 54699, 50807, 52756, 53561, 50946, 75381, 50305, 75381, 50308, 75381, 50313, 75381, 50317, 75381, 50320, 75381, 50325, 53024, 54144, 51650, 51437, 52670, 51688, 57574, 50293, 57574, 50301, 57574, 50305, 57574, 50308, 57574, 50313, 57574, 50317, 57574, 50320, 57574, 50325, 57574, 50320, 51637, 54144, 50795, 55389, 61720, 50835, 54699, 50918, 52756, 62715, 50946, 50363, 50815, 50305, 50363, 50815, 50308, 50363, 50815, 50313, 50363, 50815, 50317, 50363, 50815, 50320, 50363, 50815, 50325, 50363, 50815, 50328, 51790, 52474, 51370, 52896, 51688, 57574, 50293, 57574, 50301, 57574, 50305, 57574, 50308, 57574, 50313, 57574, 50317, 57574, 50320, 57574, 50325, 51387, 52474 ]
[ 0, 250, 15352, 30054, 3495, 2214, 11, 272, 3694, 14, 7630, 6568, 10, 19448, 8, 3722, 5466, 6, 20455, 9, 10, 822, 19834, 4, 590, 10, 20889, 9, 5962, 13410, 228, 2289, 6, 24, 11498, 41, 12447, 1001, 2877, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 230, 119, 6, 272, 119, 6, 211, 406, 6, 8, 272, 119, 3639, 7, 63, 13363, 28191, 14981, 6, 442, 24, 10, 1969, 38963, 8913, 13, 10, 21844, 657, 527, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51809, 50861, 54298, 50420, 51001, 51074, 50425, 50951, 51103, 51085, 52179, 58365, 55584, 50449, 67176, 50452, 50951, 78454, 51147, 54900, 50902, 51852, 50956, 53674, 50951, 52151, 56020, 50876, 51126, 69374, 54532, 50442, 51146, 53524, 51062, 57740, 51220, 55118, 51062, 51204, 50448, 50861, 52034, 50458, 50902, 52454, 50307, 51753, 50460, 51405, 50807, 59412, 50876, 51128, 50427, 50951, 51178, 50436, 51147, 53614, 51085, 55505, 50323, 51134, 50451, 50931, 51255, 50965, 51862, 51601, 51001, 51576, 50416, 50871, 51252, 50931, 51677, 50421, 50871, 74553, 50427, 50902, 57917, 50900, 54836, 50453, 50965, 51550, 52478, 50951, 51753, 50419, 50876, 71133, 50431, 50931, 64529, 51086, 59170, 50931, 51191, 50458, 50861, 51470, 51601, 50968, 64305, 50931, 54878, 50951, 50937, 50421, 51001, 51333, 50423, 50931, 51605, 50871, 59170, 50435, 50902, 76606, 51026, 52192, 50456, 51062, 63181, 51220, 64098, 50999, 50910, 51601, 51220, 51351, 50416, 50899, 56374, 78312, 53577, 51146, 59937, 54298, 50440, 50931, 51363, 50973, 52518, 50450, 50951, 61081, 50931, 51097, 75074, 61017, 51809, 51001, 51309, 50417, 50861, 54861, 78740, 51852, 51001, 53753, 50956, 52136, 50443, 50876, 51365, 50455, 51026, 51432, 53069, 50956, 53674, 63931, 56615, 69374, 58898, 50446, 50965, 51387, 50460, 77113, 50461, 51197, 52518, 75695, 50900, 51123, 50434, 51062, 63038, 50965, 53726, 50440, 50956, 53674, 51062, 51307, 50452, 50861, 51123, 51809, 51197, 51277, 50428, 62972, 50439, 77743, 50861, 51000, 50440, 51001, 51291, 50451, 50876, 65315, 66188, 54197, 52063, 51001, 51191, 60718, 51116, 50871, 51432, 63808, 53161, 50439, 50900, 63546, 50318, 51677, 50451, 50965, 51123, 51601, 51050, 51166, 50427, 50899, 52034, 50437, 50902, 52048, 50871, 59170, 50438, 51147, 56508, 50876, 57015, 51147, 51183, 54955, 51824, 50424, 50871, 51490, 50436, 50951, 51243, 50876, 53096, 50437, 50899, 57941, 50447, 50973, 51022, 50458, 51026, 51376, 56020, 51086, 51166, 50434, 50931, 51310, 50965, 51466, 80122, 56123, 67655, 62524, 50931, 50943, 50457, 51176, 52025, 53069, 50900, 52858, 50319, 69012, 50902, 65760, 51001, 76978, 50956, 52519, 50906, 53096, 50430, 50902, 50889, 50440, 50965, 51365, 50876, 70390, 50973, 51351, 50452, 51176, 51333, 54960, 51241, 76945, 52136, 50426, 50973, 51351, 50861, 52454, 50307, 51749, 74933, 51116, 50989, 80051, 51197, 51535, 50876, 51933, 52591, 50900, 51254, 50427, 51062, 59099, 50965, 52845, 50307, 52519, 50433, 51062, 51091, 50446, 65313, 50458, 51197, 53161, 50460, 50900, 50892, 60212, 50900, 52256, 50430, 50876, 54986, 51026, 56563, 50436, 50989, 51466, 74206, 80179, 51001, 51141, 50449, 65313, 50459, 50931, 64098, 51050, 53674, 51001, 51204, 60212, 50900, 51432, 60718, 51221, 50435, 50900, 53577, 50437, 76243, 66836, 51243, 50450, 50965, 65315, 63006, 51809, 50956, 50981, 50417, 51247, 54228, 50429, 50899, 51079, 50430, 51050, 51123, 50436, 50899, 68937, 51086, 76733, 51026, 52397, 50446, 51147, 51397, 50457, 50900, 51797, 51176, 52518, 52591, 51147, 52015, 50421, 51026, 51199, 58783, 51142, 50445, 50876, 54344, 50899, 63667, 50951, 51313, 50457, 50973, 51000, 56020, 50965, 53280, 50423, 51214, 54071, 50435, 51026, 52731, 50446, 50931, 51803, 50447, 50956, 56615, 50861, 55086, 51086, 56123, 50454, 51026, 52794, 50459, 50899, 51166, 69341, 51001, 52188, 51085, 54848, 50452, 50965, 78983, 51378, 51365, 50956, 78181, 51365, 50457, 51026, 51645, 50861, 51645, 50796, 50436, 50956, 51328, 51214, 52216, 50299, 52519, 50441, 51085, 52407, 50442, 52206, 52598, 50900, 51314, 50796, 50448, 51197, 51524, 51081, 51218, 52177, 50997, 56308, 50422, 50999, 50959, 50424, 51081, 59749, 69649, 50965, 51466, 50428, 50956, 54211, 50430, 51081, 51675, 50440, 59663, 50452, 50861, 51806, 50453, 51026, 54071, 50459, 51405, 62923, 51146, 50828, 51601, 51062, 59196, 51146, 51091, 50421, 50989, 63339, 50861, 58815, 50965, 60155, 51405, 50889, 50431, 50997, 53164, 50311, 51637, 50442, 50951, 51204, 50451, 51050, 59644, 51081, 51241, 50461, 50876, 50857, 51601, 50906, 66089, 50877, 55394, 51147, 50866, 50421, 50906, 53961, 51147, 52826, 50433, 50876, 51627, 51176, 53161, 50445, 50956, 73752, 51197, 51852, 50861, 51961, 60212, 50871, 51254, 50436, 50871, 52063, 50437, 50900, 54861, 50450, 51197, 51142, 51601, 51147, 51218, 50416, 51120, 51738, 50427, 50899, 54150, 63302, 50434, 51147, 61573, 51081, 55467, 70179, 69332, 52011, 50440, 51147, 51662, 50452, 50906, 54600, 51120, 50829, 53069, 50871, 58299, 51405, 75322, 51146, 58854, 51062, 52749, 51146, 51364, 50437, 64385, 69332, 63753, 68929, 50445, 51339, 72893, 52397, 72785, 51627, 50457, 51147, 51310, 56020, 51197, 51376, 50425, 51114, 51419, 50431, 50965, 63163, 50861, 67009, 50989, 67941, 50951, 51400, 50861, 53674, 64057, 53697, 50451, 50906, 52482, 50452, 50951, 53849, 51809, 57127, 50428, 51214, 52519, 50429, 51027, 51074, 50442, 50997, 51387, 50454, 50997, 53577, 50455, 51120, 56374, 52591, 51197, 51852, 50432, 51214, 54211, 50434, 51001, 51623, 50447, 51197, 51775, 50454, 51081, 53848, 50997, 51466, 50460, 51081, 51151, 57731, 51026, 51477, 50435, 50956, 51472, 50452, 50906, 65737, 51147, 51003, 50460, 60834, 52478, 50951, 50865, 50424, 50931, 51060, 50425, 51214, 51174, 50429, 51001, 51238, 50436, 50902, 51608, 50288, 50932, 50446, 51197, 73311, 50876, 51091, 72407, 51134, 50458, 50965, 59097, 51062, 51036, 52177, 58893, 63714, 75976, 50956, 51060, 50433, 50899, 50914, 68121, 51363, 50448, 51176, 53306, 50458, 51081, 51056, 50459, 50876, 50864, 52478, 51147, 51194, 50423, 51503, 51172, 50951, 69353, 50931, 51215, 50435, 51279, 68504, 51241, 50447, 50931, 51091, 50448, 51050, 62309, 78444, 51027, 51680, 50459, 50951, 51204, 55753, 50871, 62244, 51294, 58319, 51253, 50902, 50914, 50433, 50900, 52996, 50444, 51001, 59428, 59528, 51247, 51738, 50455, 50931, 51191, 50456, 51176, 51534, 53069, 51001, 51162, 51027, 51254, 50429, 51234, 56374, 50430, 50997, 52011, 50431, 51001, 51662, 50443, 51027, 77403, 50997, 54573, 50457, 51234, 63160, 52591, 50931, 51481, 50427, 51001, 51481, 50434, 51050, 54836, 50902, 55490, 78631, 51550, 50455, 50997, 52134, 51809, 51176, 52397, 50417, 51234, 63532, 50438, 52046, 51824, 50442, 51234, 70853, 51026, 60550, 52052, 51148, 51081, 54532, 50457, 50956, 51738, 50796, 54439, 52192, 50433, 51814, 50912, 50871, 52514, 50435, 52052, 55108, 52357, 56432, 50956, 53957, 52052, 51742, 50997, 52101, 50442, 51081, 63510, 52478, 51026, 71372, 52912, 51172, 51146, 52460, 50447, 53919, 50844, 51405, 51008, 51197, 59972, 51487, 51091, 50459, 50951, 51194, 51601, 51234, 51365, 50417, 51050, 56237, 50899, 51277, 50424, 52052, 51345, 51081, 51423, 78414, 52188, 50440, 51147, 51481, 52128, 51233, 50446, 50965, 65397, 50861, 70596, 52128, 51080, 50454, 50871, 53126, 50324, 53577, 50455, 50997, 56123, 66243, 51050, 53838, 50446, 52912, 76920, 57467, 51234, 78584, 52956, 50808, 68818, 55656, 52128, 51110, 51147, 75120, 51147, 51619, 50336, 73700, 51197, 53726, 50989, 54521, 50440, 51027, 53024, 50453, 51487, 50849, 50454, 50951, 58399, 51753, 50455, 50997, 54228, 52177, 50906, 51619, 50335, 51056, 50951, 51108, 50429, 56437, 78313, 51297, 50441, 51214, 51297, 50442, 50899, 51241, 50453, 50997, 51627, 50956, 51191 ]
[ 0, 250, 32076, 8, 15352, 30054, 3495, 2214, 14, 7630, 6568, 5, 4780, 9, 1619, 6, 4246, 10, 20902, 11739, 9, 13305, 6, 3459, 8, 21979, 29589, 6, 31391, 1672, 9590, 6, 8, 21040, 2426, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 23667, 27841, 139, 20889, 6, 42, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 65919, 55753, 51209, 50923, 51334, 50923, 50427, 51256, 51033, 50433, 51772, 63747, 51451, 50859, 54141, 57757, 51830, 51012, 51382, 55223, 52000, 57973, 51451, 56421, 50883, 54920, 51091, 53046, 51124, 53046, 54055, 57101, 64595, 53735, 77636, 52056, 58285, 65751, 51157, 50909, 51159, 51149, 51048, 50416, 53587, 54217, 50420, 51830, 54149, 51964, 51637, 52070, 50959, 51837, 51411, 51664, 51030, 71799, 50866, 61556, 50866, 54074, 67234, 55969, 51141, 76778, 50427, 51149, 54725, 51516, 51074, 51830, 50836, 61556, 50987, 71799, 50987, 51468, 51149, 51267, 50433, 50909, 79881, 51153, 51058, 51137, 51091, 52000, 50936, 61556, 51058, 54799, 51006, 65634, 53239, 52070, 50942, 51280, 51542, 51837, 51377, 51830, 50800, 54799, 51174, 61556, 50978, 51842, 50909, 51393, 50320, 70083, 50847, 72269, 51516, 51432, 51664, 50948, 52029, 50934, 50895, 51149, 50938, 50885, 51127, 50909, 51103, 50456, 51153, 50827, 53046, 51100, 54799, 50886, 61556, 50854, 51468, 51149, 51212, 58637, 50915, 51516, 51177, 51837, 50901, 51416, 51204, 52120, 50835, 51149, 50987, 50847, 74606, 51153, 51337, 51830, 50836, 51468, 51149, 50901, 50421, 51366, 50925, 51451, 50987, 51408, 57817, 51280, 51115, 51664, 50924, 54074, 67234, 55969, 51189, 50885, 51359, 50427, 51149, 70303, 52070, 50892, 51837, 51400, 51830, 50840, 51451, 51079, 51366, 50892, 51468, 50909, 76782, 51408, 56298, 51137, 50967, 52000, 50948, 51451, 50978, 71799, 50925, 61556, 50833, 65634, 61283, 77046, 51516, 50984, 51366, 50878, 51408, 63280, 64862, 51830, 50890, 51468, 63955, 50909, 51418, 50320, 70083, 51830, 64077, 52070, 50937, 51948, 51255, 51964, 51189, 76917, 52468, 51508, 54518, 50883, 50909, 51424, 50320, 55990, 51003, 50451, 54223, 50911, 50452, 54223, 54353, 51516, 50959, 53046, 51016, 51468, 50909, 51424, 50320, 51111, 50457, 53046, 56073, 50460, 57101, 50823, 50799, 52070, 50873, 51948, 51412, 51416, 51204, 65634, 60753, 50915, 69546, 51149, 67697, 53587, 61912, 51435, 51008, 51830, 50808, 79967, 51280, 53674, 50426, 51489, 50849, 51948, 51101, 51664, 50936, 51366, 51158, 51451, 50889, 71799, 50901, 61556, 50866, 52029, 50934, 50884, 51149, 50938, 50909, 58310, 51183, 50847, 51077, 50427, 51408, 56632, 51830, 79716, 50795, 71799, 50912, 61556, 51589, 67234, 69750, 51242, 50433, 51366, 56282, 51964, 51189, 51489, 50914, 51948, 51241, 51137, 50807, 52000, 50948, 51366, 50805, 51451, 51267, 54799, 50974, 61556, 50866, 58805, 61283, 51003, 50439, 51408, 50910, 51149, 61985, 51830, 50840, 51366, 50938, 51408, 50938, 54799, 50912, 61556, 50959, 51956, 51149, 54323, 51153, 50978, 51664, 54472, 51135, 67234, 58310, 51047, 50847, 51103, 50451, 51149, 52961, 51153, 51000, 51489, 50857, 51948, 50822, 51280, 51337, 53046, 50914, 54799, 50955, 61556, 50942, 51956, 51149, 71978, 58056, 54920, 51345, 51830, 50937, 65634, 61283, 78556, 51149, 61062, 52709, 50800, 55165, 50897, 51964, 51100, 51280, 51884, 51837, 50937, 51209, 50923, 55553, 50976, 51956, 50909, 69750, 50892, 50425, 57101, 59216, 51137, 50991, 51664, 50865, 51256, 56155, 51135, 50835, 51149, 50865, 50909, 57486, 51189, 50885, 51314, 50432, 51964, 57070, 51280, 51129, 51772, 50948, 51956, 51149, 57750, 55965, 51964, 51212, 51280, 51242, 52709, 51158, 55165, 51111, 51837, 51177, 51526, 50865, 52000, 50830, 51451, 51030, 59829, 51066, 53552, 50835, 51149, 64208, 68795, 51830, 50887, 51830, 50948, 51956, 60395, 51149, 69265, 50847, 51210, 50449, 50885, 51445, 50450, 51964, 50901, 55165, 50844, 51837, 50851, 52709, 50854, 51526, 50924, 54223, 50936, 52000, 51030, 59829, 51072, 61394, 50835, 51149, 50917, 50909, 55969, 51103, 50456, 51280, 51294, 51837, 51212, 52778, 51191, 53519, 51351, 51910, 50879, 53046, 51158, 51451, 51286, 51956, 62848, 51149, 50805, 54920, 50807, 53046, 52017, 53587, 51407, 53552, 50835, 51149, 50917, 69546, 50419, 51149, 59288, 51837, 50851, 51830, 50855, 51956, 50425, 69193, 50426, 51964, 51377, 52778, 50942, 53519, 50845, 51664, 50948, 51451, 50889, 71799, 51058, 61556, 50892, 52029, 50934, 50884, 51149, 59192, 51189, 50427, 51408, 50830, 51366, 53182, 51837, 50912, 51830, 50855, 61556, 50827, 71799, 50984, 51468, 51149, 51177, 50433, 51408, 73835, 51280, 51134, 51137, 51091, 52000, 50936, 51451, 51203, 54799, 51079, 61556, 50838, 65634, 77108, 51254, 50439, 51408, 50795, 51366, 63322, 52778, 50812, 53519, 50942, 51837, 50941, 51830, 50865, 54799, 51142, 61556, 51373, 67234, 51393, 50320, 68711, 60179, 50450, 51664, 50865, 52029, 50934, 50884, 51149, 50865, 50909, 57486, 51159, 50885, 51447, 50455, 54799, 50978, 61556, 54752, 51964, 51100, 51837, 50974, 52778, 50897, 53519, 50878, 51830, 51100, 51956, 58056, 51149, 50849, 54920, 50983, 53046, 50943, 53552, 50835, 51149, 50917, 72975, 70389, 50419, 53587, 62420, 51280, 50865, 51837, 50862, 52709, 50836, 55165, 50836, 51830, 50812, 51408, 50959, 51451, 51058, 51366, 50917, 51468, 51149, 50905, 50425, 59829, 53537, 51964, 51110, 51837, 51642, 54513, 50822, 53519, 50925, 55374, 50933, 51664, 50948, 54161, 67234, 51424, 50320, 57486, 61677, 52720, 50431, 53208, 60648, 51830, 50800, 51451, 50955, 51366, 50917, 51408, 50865, 51956, 63456, 51149, 75094, 54291, 53663, 51837, 51337, 54513, 50800, 55374, 51215, 51280, 51100, 53519, 51346, 51137, 50807, 52000, 50948, 51451, 50987, 51366, 50938, 51408, 50805, 71799, 50866, 61556, 50878, 53552, 67234, 55196, 51199, 50439, 51149, 61985, 51830, 50893, 51956, 59995, 51149, 50901, 50449, 59829, 62568, 55165, 51008, 51964, 50901, 51837, 51142, 52709, 50955, 51664, 50948, 52029, 50934, 50884, 69546, 51149, 50889, 75092, 50456, 51280, 51191, 51837, 51177, 52778, 51204, 53519, 51191, 54223, 50893, 51956, 54920, 51204, 53046, 50893, 55540, 51009, 65634, 64278, 50914, 51149, 55385, 51837, 51642, 51830, 50910, 58139, 53519, 51423, 52778, 51051, 51664, 50924, 51408, 50865, 51451, 51048, 51366, 51073, 61556, 50892, 71799, 50978, 52029, 50934, 50818, 51149, 59092, 51100, 50847, 51103, 50432, 52778, 52134, 51837, 50942, 51830, 50855, 51408, 50897, 71799, 50933, 61556, 50874, 51956, 50433, 50909, 51312, 51149, 51267, 50438, 51964, 50795, 51137, 51091, 52000, 50948, 51451, 50917, 51366, 50865, 51408, 50879, 61556, 50838, 54799, 51376, 65634, 52210, 54513, 50830, 53481, 51073, 51280, 51013, 51830, 50840, 54799, 50933, 61556, 50878, 51956, 51149, 68711, 58056, 50450, 53519, 51254, 51664, 50948, 54001, 67234, 51424, 50320, 57486, 77948, 51837, 50857, 53046, 51291, 54799, 50959, 61556, 50878, 51468, 62848, 51149, 72914, 51416, 51204, 68898, 58637, 51605, 54513, 50800, 53481, 50991, 51830, 53095, 51044, 70246, 50943, 51149, 50943, 50419, 53208, 62420, 53519, 50867, 51830, 50952, 51209, 51388, 51956, 50425, 54291, 52038, 53519, 50833, 53481, 50955, 51664, 50948, 51256, 50924, 54001, 50835, 51149, 50865, 50909, 57486, 51056, 50430, 59829, 52119, 53519, 50812, 53481, 50844, 51416, 50800, 51830, 50836, 51772, 51575, 50835, 62848, 51149, 75094, 59829, 61445, 53519, 50808, 53481, 50854, 51137, 51112, 52000, 50936, 51451, 50974, 71799, 51008, 61556, 53095, 51044, 50835, 51149, 51174, 50909, 56391, 53519, 50833, 53481, 50844, 51830, 50812, 51830, 50911, 54074, 50829, 60395, 51149, 50901, 50449, 53081, 57513, 55392, 50450, 53519, 50854, 53481, 50933, 51526, 50910 ]
[ 0, 250, 33928, 8, 11653, 5175, 3495, 2214, 4246, 21979, 8669, 6, 2382, 3459, 8669, 6, 31391, 1672, 9590, 6, 23338, 33518, 1264, 6, 8, 2236, 1021, 2678, 29, 4, 590, 10, 20889, 9, 21436, 163, 5683, 36, 7083, 4308, 1001, 43, 11, 204, 73, 306, 86, 6, 5, 2125, 16, 278, 11, 5, 762, 9, 381, 538, 8, 29769, 198, 5, 40286, 381, 6, 83, 6, 8, 163, 4, 20, 15352, 30054, 15229, 7630, 6568, 10, 1472, 9, 10563, 8, 26545, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 76501, 51374, 51054, 51763, 58045, 51815, 51025, 54468, 51566, 75103, 51017, 51343, 50868, 51496, 50850, 51552, 52124, 68801, 58168, 50841, 53158, 52712, 79646, 70044, 51023, 51345, 53429, 67450, 53110, 52667, 51349, 72742, 51267, 51017, 51073, 50868, 51343, 50850, 72750, 51920, 50829, 54585, 50948, 51281, 51048, 56267, 56910, 53349, 53044, 51349, 50865, 50946, 67493, 70436, 54368, 54825, 55082, 51349, 66341, 50981, 51017, 51073, 50868, 61659, 51159, 51268, 66404, 51920, 52881, 51349, 56473, 50829, 54468, 72742, 51157, 51017, 51274, 50868, 51141, 50850, 51218, 51089, 51496, 53195, 67777, 53349, 52761, 51349, 53592, 52641, 51349, 54572, 51295, 50816, 52995, 52667, 51349, 57679, 78775, 51274, 50850, 51343, 51268, 50865, 54825, 70759, 51920, 50829, 54585, 50879, 51089, 51227, 53195, 53769, 53349, 53162, 51349, 73564, 56255, 52802, 51181, 66341, 64368, 51048, 50868, 51157, 72681, 51495, 51196, 55625, 51204, 50816, 51920, 52881, 51374, 54572, 56255, 50829, 54468, 75904, 50889, 51017, 51343, 50868, 50983, 50850, 63732, 53349, 53227, 51349, 53592, 52712, 51349, 72742, 51295, 51023, 51073, 53429, 67450, 52995, 52925, 51349, 62052, 51343, 50868, 51274, 50850, 51364, 50816, 53390, 50835, 54585, 50924, 51281, 51290, 56267, 53769, 53110, 52986, 51349, 51554, 50296, 52096, 50946, 59384, 52802, 51349, 50924, 70044, 51017, 51290, 50868, 51073, 76581, 51268, 51073, 54825, 55107, 51920, 52738, 51349, 54572, 78973, 50829, 54468, 54572, 51157, 51017, 51055, 50868, 51290, 50850, 51141, 51089, 51496, 53195, 63968, 53349, 53403, 51349, 56473, 52641, 51349, 50865, 50946, 64368, 50937, 63299, 50816, 52995, 52667, 51349, 72742, 51157, 51017, 66282, 51364, 50850, 51141, 51268, 50865, 54825, 51379, 50816, 51920, 50834, 54585, 50924, 51089, 51013, 53195, 76360, 53349, 52616, 51349, 66341, 63593, 60095, 54368, 55625, 63419, 51181, 60772, 50914, 51017, 53677, 51157, 72681, 51495, 68629, 53545, 50816, 52579, 51374, 50924, 51017, 63305, 50841, 54468, 73564, 50983, 51017, 51274, 50868, 71778, 51141, 51815, 55482, 51282, 52024, 51495, 53295, 50798, 58168, 56166, 51089, 52337, 50420, 51349, 56473, 52712, 51349, 70845, 50901, 52213, 51932, 50816, 53110, 52667, 51349, 72742, 50914, 51017, 66282, 62136, 57321, 51920, 50829, 54585, 56263, 50978, 53037, 51054, 51855, 57393, 53349, 53044, 51349, 50865, 50946, 67493, 56291, 58176, 67240, 52802, 51349, 72742, 51267, 51017, 56567, 56263, 51157, 54598, 51055, 51855, 51055, 50816, 51920, 52881, 51349, 62052, 59790, 65056, 50829, 54468, 50924, 71047, 51017, 51274, 50868, 56263, 51141, 54227, 51566, 51855, 76360, 53349, 52761, 51349, 57122, 58377, 52641, 51349, 63580, 55905, 50987, 54598, 50896, 51855, 60223, 52995, 52667, 51349, 51554, 50296, 51148, 50946, 51274, 51017, 51290, 60172, 62781, 50816, 51920, 50829, 54585, 50795, 54227, 51454, 51855, 77690, 53349, 53162, 51349, 62052, 55905, 56219, 78973, 52802, 51349, 50924, 67208, 51017, 50940, 50868, 53006, 51157, 59403, 51454, 51855, 51454, 50816, 51920, 52881, 51349, 50924, 51171, 51867, 50299, 50897, 67693, 63299, 50856, 50829, 57958, 50948, 51171, 51535, 50946, 51073, 50848, 60728, 62663, 50901, 54598, 51552, 51855, 51527, 51763, 51310, 51282, 50915, 51083, 71732, 53349, 53227, 51684, 58057, 50917, 50944, 56219, 56923, 52712, 51684, 63580, 72024, 58562, 56263, 50914, 51282, 55591, 52995, 52925, 51684, 72742, 59718, 57898, 50901, 53037, 50858, 51763, 63658, 53390, 54248, 54598, 50821, 54585, 50948, 51217, 51127, 50946, 51073, 51017, 51157, 50868, 59590, 50915, 54227, 52512, 51855, 52097, 52124, 51109, 51815, 56777, 53110, 52986, 51349, 70845, 50849, 51815, 51380, 50856, 52802, 51349, 72742, 57679, 50865, 66732, 64803, 52124, 66610, 51920, 52738, 51349, 50924, 67208, 51017, 50938, 50868, 54954, 50845, 52124, 50978, 51815, 67912, 50829, 54468, 69452, 50866, 50946, 51033, 50885, 59790, 50921, 66940, 52124, 60623, 53349, 53403, 51416, 50936, 50988, 51159, 50885, 51932, 50868, 50936, 74432, 50909, 50805, 52047, 50911, 51401, 53466, 51416, 70845, 50940, 60001, 74956, 52047, 50940, 51401, 59517, 51684, 66341, 72024, 58562, 56548, 67276, 50873, 51763, 50806, 51282, 50977, 57080, 66341, 50897, 50848, 50952, 50944, 58433, 50940, 51007, 50897, 51763, 50921, 51282, 58162, 50818, 53525, 53027, 52474, 66763, 51351, 50868, 50924, 50992, 50936, 50935, 50806, 59792, 51815, 50893, 51595, 50873, 60309, 52802, 52474, 51566, 50868, 51235, 50992, 51500, 50935, 51427, 51149, 51112, 51815, 51055, 51595, 69242, 50884, 54706, 52881, 50816, 50846, 54468, 50948, 51688, 50866, 51217, 51036, 50946, 51090, 51017, 66282, 62136, 50807, 52124, 52122, 51815, 52121, 51282, 55482, 51495, 56515, 50798, 58168, 53223, 51349, 56473, 52712, 51349, 63580, 51189, 51017, 50937, 64525, 57134, 52213, 51566, 50816, 53110, 52667, 51349, 50924, 51017, 74794, 61659, 55107, 51920, 50829, 54585, 50879, 53037, 51566, 51855, 59387, 53349, 53044, 51349, 72742, 64368, 56291, 62033, 65056, 52802, 51349, 63580, 50889, 51017, 57122, 56244, 51048, 54598, 51055, 51855, 51055, 50816, 51920, 52881, 51349, 57679, 59790, 59384, 50829, 54468, 56398, 51692, 50946, 50889, 51017, 51364, 50868, 51274, 75707, 54227, 50980, 51855, 70234, 53349, 52761, 51349, 57700, 52641, 51349, 72742, 50873, 54598, 51290, 51855, 66404, 52995, 52667, 51349, 54572, 50889, 51017, 51343, 50868, 51274, 50850, 73321, 51920, 50829, 54585, 50795, 54227, 51603, 51855, 73328, 53349, 53162, 51349, 54572, 51218, 50856, 52802, 51349, 51554, 50296, 50915, 51017, 50924, 63060, 50850, 51157, 59403, 51054, 51855, 63923, 51920, 52881, 51349, 50924, 59654, 50868, 65928, 50829, 57958, 50948, 51171, 50981, 50946, 56611, 60728, 51090, 77644, 54598, 51496, 51855, 51551, 51763, 55157, 53349, 55926, 51282, 51115, 51083, 51542, 50420, 51684, 63580, 57046, 59384, 52712, 51684, 50924, 51171, 50978, 50946, 50805, 72177, 62663, 55107, 52995, 52925, 51684, 50948, 51171, 66015, 50897, 67386, 50868, 50873, 53037, 55508, 53390, 54248, 54598, 50858, 52124, 50827, 54585, 50948, 51217, 51109, 50946, 51157, 51017, 51048, 50868, 56678, 51267, 54227, 51541, 51855, 51226, 52124, 51267, 51815, 51312, 51282, 77777, 53110, 55604, 51495, 56350, 51349, 56567, 70436, 52802, 51349, 50865, 51217, 51109, 50946, 61121, 55363, 55792, 50914, 51815, 51221, 51282, 55742, 53545, 52124, 51116, 51282, 50813, 51495, 50844, 51089, 50829, 51089, 51542, 50816, 52579, 51349, 50948, 65713, 51017, 63879, 50917, 51282, 50813, 51495, 54087, 53902, 51282, 51255, 51495, 56485, 50841, 54468, 51021, 51217, 62756, 62052, 66608, 51175, 50850, 51060, 52124, 50915, 51815, 50905, 51495, 60386, 53110, 52762, 51349, 50893, 52124, 56087, 51349, 50952, 52124, 51541, 51272, 50301, 66357, 52692, 54144, 50924, 51282, 55149, 52474, 50893, 51815, 50893, 51282, 79100, 52474, 50952, 54227, 51012, 51815, 51060, 57958, 65057, 51411, 50848, 51054, 50944, 51029, 50850, 51552, 54598, 51237, 52473, 62288, 58168, 54477, 50816, 54946, 52762, 51171, 51677, 50946, 55711, 50866, 52708, 50806, 51855, 53757, 52927, 51349, 78888, 50983, 50848, 51054, 50944, 51735, 50850, 51343, 52708, 51274, 51855, 51274, 51282, 67878, 58168, 52766, 50856, 53044, 57140, 50944, 56255, 52802, 50946, 50910, 50848, 51033, 50944, 71936, 51060, 52473, 54792, 53237, 52881, 51526 ]
[ 0, 250, 765, 5175, 2214, 11, 12608, 3694, 6, 4246, 10, 2382, 3459, 8669, 6, 2342, 4467, 6, 20535, 2810, 6, 8, 21072, 6, 19, 12577, 8669, 31391, 27903, 1271, 18632, 4, 8504, 11, 10, 204, 73, 306, 86, 6543, 8, 1375, 23, 10, 38451, 3938, 20889, 6, 24, 7630, 6568, 10, 2933, 6, 25306, 5466, 6, 5378, 16364, 19, 814, 8, 9066, 3423, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 56636, 50865, 52632, 59578, 55456, 51835, 52970, 52296, 50801, 51620, 52970, 51358, 51341, 67585, 50800, 51546, 50800, 52828, 53984, 74193, 70680, 51820, 50801, 51757, 51641, 51358, 51341, 67585, 50800, 51546, 50800, 52828, 53984, 51754, 54961, 52567, 56844, 52218, 50800, 50799, 54961, 50800, 53054, 59578, 51835, 56636, 52296, 50801, 51620, 56636, 51161, 51495, 63021, 58744, 69809, 53984, 51628, 52061, 52262, 52298, 52218, 51724, 52061, 52831, 52298, 51820, 52211, 71112, 51757, 51495, 63021, 58744, 69809, 53984, 52809, 50801, 50800, 50799, 56636, 50865, 54471, 59578, 51835, 52970, 51620, 52970, 50983, 51089, 66081, 51403, 50800, 53706, 53984, 74193, 52262, 50801, 51724, 52211, 52218, 51820, 52970, 50865, 51641, 52218, 51757, 53152, 50865, 51641, 51291, 51089, 66081, 51403, 50800, 53706, 53984, 51754, 52851, 55955, 52567, 50801, 50800, 50799, 52970, 51036, 53149, 59578, 51620, 52314, 50865, 51495, 63021, 58744, 69809, 53984, 52765, 50801, 51628, 51744, 50865, 56321, 51724, 51641, 66584, 50801, 52513, 50801, 51757, 51495, 63021, 58744, 69809, 53984, 51754, 50801, 52567, 50801, 50800, 50799, 56636, 50865, 52632, 59578, 55456, 51835, 52970, 52296, 50801, 51620, 52970, 51358, 51341, 67585, 50800, 51546, 50800, 52828, 53984, 74193, 70680, 51820, 50801, 51757, 51641, 51358, 51341, 67585, 50800, 51546, 50800, 52828, 53984, 51754, 54961, 52567, 56844, 52218, 50800, 50799, 54961, 50800, 53054, 59578, 51835, 56636, 52296, 50801, 51620, 56636, 51161, 51495, 63021, 58744, 69809, 53984, 51628, 52061, 52262, 52298, 52218, 51724, 52061, 52831, 52298, 51820, 52211, 71112, 51757, 51495, 63021, 58744, 69809, 53984, 52809, 50801, 50800, 50799, 56636, 50865, 54471, 59578, 51835, 52970, 51620, 52970, 50983, 51089, 66081, 51403, 50800, 53706, 53984, 74193, 52262, 50801, 51724, 52211, 52218, 51820, 52970, 50865, 51641, 52218, 51757, 53152, 50865, 51641, 51291, 51089, 66081, 51403, 50800, 53706, 53984, 51754, 52851, 55955, 52567, 50801, 50800, 50799, 52970, 51036, 53149, 59578, 51620, 52314, 50865, 51495, 63021, 58744, 69809, 53984, 52765, 50801, 51628, 51744, 50865, 56321, 51724, 51641, 66584, 65938, 55259, 58350, 57789, 68211, 55830, 51126, 50445, 54027, 77388, 53320, 63491, 52202, 59874, 58579, 52671, 55256, 51495, 63021, 58744, 69809, 50800, 52161, 50371, 51822, 57465, 52083, 61096, 52251, 60535, 52156, 64405, 52604, 53137, 52480, 53735, 59747, 53598, 58323, 54051, 56551, 55639, 55503, 59342, 58088, 57995, 60059, 51126, 50799, 56636, 50865, 52632, 51036, 50747, 50345, 53305, 55023, 51049, 55456, 50800, 51402, 51835, 52970, 55023, 51049, 52296, 51976, 51620, 52970, 51358, 51341, 67585, 50800, 51546, 50800, 52828, 52390, 51049, 52765, 56862, 51628, 51772, 50860, 51674, 55166, 55023, 53365, 51556, 70680, 55023, 53365, 50439, 50771, 50288, 62078, 50771, 50287, 50828, 50771, 50286, 54735, 51772, 50860, 51674, 50860, 63565, 50828, 50771, 50284, 51187, 58350, 50771, 50283, 58829, 50771, 50282, 52878, 50771, 50281, 50828, 50771, 50280, 53704, 55023, 53365, 50445, 50771, 50279, 50828, 50771, 50278, 58275, 50771, 50277, 50828, 50771, 50276, 50828, 50771, 50275, 54255, 50771, 50274, 50828, 50771, 50273, 51187, 60972, 50771, 50272, 53035, 51641, 51358, 51772, 50802, 51674, 50802, 51341, 67585, 50800, 51546, 50800, 52828, 55023, 52390, 53365, 51647, 51754, 54961, 51049, 52567, 56844, 52218, 53365, 50799, 54961, 50800, 53054, 51036, 50747, 50345, 53305, 55023, 53365, 51402, 51835, 56636, 55023, 51049, 52296, 51976, 51620, 56636, 51161, 51495, 63021, 58744, 69809, 52390, 51049, 52765, 56862, 51628, 52061, 55023, 51049, 52262, 52298, 73795, 51724, 52061, 55023, 53365, 50439, 50771, 50288, 63337, 50771, 50287, 50846, 50771, 50286, 55201, 52298, 50800, 63565, 50846, 50771, 50284, 50846, 50771, 50283, 51239, 58350, 50771, 50281, 50846, 50771, 50282, 50846, 50771, 50280, 50846, 50771, 50279, 61110, 50771, 50278, 50846, 50771, 50277, 53239, 52211, 51358, 50771, 50276, 50846, 50771, 50274, 50846, 50771, 50275, 54376, 55023, 53365, 50445, 50771, 50273, 50846, 50771, 50272, 59484, 50771, 50271, 50846, 51618, 51757, 51495, 63021, 58744, 69809, 55023, 52390, 51049, 52809, 63735, 51453, 50800, 70715, 50799, 56636, 50865, 54471, 51036, 50747, 50345, 53305, 55023, 53365, 51402, 51835, 52970, 55023, 53365, 69282, 52970, 50983, 51089, 66081, 51403, 50800, 53706, 52390, 51049, 52765, 56862, 51628, 51772, 50860, 51674, 55166, 55023, 51049, 52262, 51976, 51724, 52211, 52218, 55023, 51049, 52831, 51772, 50860, 51674, 52715, 51820, 52970, 50865, 51641, 52218, 55023, 53365, 51618, 51757, 53152, 50865, 51641, 51291, 51772, 50802, 51674, 50802, 51089, 66081, 51403, 50800, 53706, 55023, 52390, 53365, 51647, 51754, 52851, 50865, 51976, 52567, 63735, 50799, 52970, 51036, 53149, 51036, 50747, 50345, 53305, 55023, 53365, 51402, 51835, 50903, 53365, 69282, 52314, 50865, 51495, 63021, 58744, 69809, 52390, 51049, 52765, 50801, 55023, 77763, 51744, 50865, 56862, 52262, 51976, 51724, 51641, 50918, 56862, 52831, 51976, 51820, 56862, 52513, 51976, 51757, 51495, 63021, 58744, 69809, 55023, 52390, 53365, 51647, 51754, 51976, 52567, 63735, 50799, 56636, 50865, 52632, 51036, 50747, 50345, 53305, 55023, 51049, 55456, 50800, 51402, 51835, 52970, 55023, 51049, 52296, 51976, 51620, 52970, 51358, 51341, 67585, 50800, 51546, 50800, 52828, 52390, 51049, 52765, 56862, 51628, 51772, 50860, 51674, 55166, 55023, 53365, 51556, 70680, 55023, 53365, 50439, 50771, 50288, 62078, 50771, 50287, 50828, 50771, 50286, 54735, 51772, 50860, 51674, 50860, 63565, 50828, 50771, 50284, 51187, 58350, 50771, 50283, 58829, 50771, 50282, 52878, 50771, 50281, 50828, 50771, 50280, 53704, 55023, 53365, 50445, 50771, 50279, 50828, 50771, 50278, 58275, 50771, 50277, 50828, 50771, 50276, 50828, 50771, 50275, 54255, 50771, 50274, 50828, 50771, 50273, 51187, 60972, 50771, 50272, 53035, 51772, 50802, 51674, 50802, 51341, 67585, 50800, 51546, 50800, 52828, 55023, 52390, 53365, 51647, 51754, 54961, 51049, 52567, 56844, 52218, 53365, 50799, 54961, 52218, 55023, 53365, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 17627, 17274, 3495, 2214, 4246, 13305, 6, 32909, 6, 20535, 2810, 6, 21072, 6, 8, 2724, 368, 31365, 25999, 6, 278, 11, 5, 762, 9, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 12730, 163, 5683, 6, 7630, 14805, 10, 1372, 8, 33558, 6711, 19, 17878, 9, 2365, 8, 1619, 23338, 293, 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 ]	[ 57739, 52534, 52441, 51431, 55401, 51539, 52275, 50835, 51223, 50833, 51513, 50859, 51402, 54697, 50835, 51513, 50917, 50418, 51223, 50977, 55997, 52223, 59043, 51431, 50908, 52111, 51916, 51004, 51513, 50862, 51223, 53803, 51723, 59105, 56061, 52465, 50835, 51223, 50808, 51513, 71646, 54697, 64958, 50855, 51513, 54216, 50964, 53796, 51792, 50835, 51223, 54112, 50964, 57656, 54390, 52771, 50928, 51513, 50818, 51250, 51031, 51223, 53040, 51898, 51862, 58009, 52275, 50829, 51572, 54697, 50825, 51513, 55945, 51133, 77340, 51916, 50835, 51223, 54803, 51723, 52859, 51916, 51004, 51513, 50845, 51223, 54086, 50832, 56061, 52465, 50835, 77775, 51262, 50930, 51355, 63756, 51723, 61315, 54697, 50837, 51513, 50828, 51250, 50883, 51223, 53137, 51133, 54071, 51723, 52465, 52275, 50825, 51513, 50854, 52215, 51916, 50982, 51513, 65635, 52534, 52441, 51431, 53940, 53735, 51464, 50834, 51223, 51269, 51513, 50984, 51402, 53637, 50835, 51513, 62799, 51223, 54475, 51431, 52497, 51916, 50835, 51223, 50864, 73846, 52111, 52223, 50982, 51513, 50862, 51223, 53803, 50832, 56061, 52223, 50835, 51223, 50844, 51513, 63024, 51723, 51126, 51532, 53940, 64958, 50855, 51513, 53695, 50964, 53600, 52275, 50825, 75923, 51513, 55167, 50964, 57656, 54715, 52771, 51004, 51513, 51031, 51223, 50895, 51658, 51464, 52275, 50829, 51572, 54697, 50825, 51250, 50817, 51513, 53675, 50832, 51833, 50834, 51223, 50844, 52283, 52223, 50982, 51513, 60143, 53562, 50832, 56061, 52348, 50834, 51513, 50834, 51250, 50961, 51536, 51031, 51647, 53940, 50837, 51223, 55670, 54530, 50835, 51513, 50810, 52215, 51916, 50982, 51513, 50857, 51223, 50862, 52534, 52441, 50832, 53735, 68290, 51223, 50812, 51513, 50821, 51402, 54697, 50835, 51513, 61292, 51223, 54878, 50832, 51833, 50835, 75265, 51513, 50857, 52111, 52348, 50928, 51513, 50862, 51223, 53803, 50832, 56061, 52223, 50835, 75923, 51513, 50854, 51532, 53940, 50870, 67569, 51513, 53695, 50964, 54412, 51792, 50825, 51223, 50874, 51513, 54112, 50964, 59105, 54390, 52748, 50928, 51513, 51031, 51223, 50884, 51658, 51539, 51792, 50829, 51572, 53940, 50825, 51513, 50818, 51250, 51031, 51223, 52986, 50832, 51916, 50829, 51223, 50854, 52283, 52223, 50982, 51513, 50892, 51223, 61495, 51062, 75589, 50832, 54087, 52348, 50835, 77775, 51262, 52236, 50331, 51391, 51647, 53940, 50863, 51513, 50828, 51223, 53137, 50964, 67992, 51792, 50835, 51513, 50854, 52215, 51833, 50928, 51513, 60143, 50862, 52534, 53674, 50832, 53669, 76445, 51223, 51269, 51513, 50907, 51402, 53637, 50835, 51513, 62799, 51223, 54475, 50832, 51833, 50829, 75265, 73846, 52111, 52223, 50928, 51513, 50855, 51223, 53803, 50832, 56061, 52465, 50835, 51223, 50874, 51513, 50854, 51532, 54697, 50837, 67569, 51513, 53810, 50964, 54412, 52275, 50835, 51223, 50874, 51513, 50844, 51250, 55098, 50964, 59105, 54390, 52748, 50982, 51250, 68676, 50961, 51223, 50884, 51658, 51464, 52275, 50829, 51572, 53637, 50825, 51250, 50817, 51513, 53675, 51096, 57656, 51916, 50829, 79203, 52283, 52348, 50928, 51513, 50862, 51223, 51391, 53919, 51004, 50448, 52357, 56663, 50832, 56061, 52348, 69007, 65803, 50883, 51536, 51031, 52912, 50955, 52956, 66941, 51096, 54412, 53637, 53555, 51205, 51524, 50791, 51792, 50825, 52357, 51939, 53919, 51692, 52215, 52223, 50928, 52534, 52441, 50832, 53669, 51464, 50834, 51223, 51252, 51513, 50907, 51402, 54697, 50835, 51513, 65000, 51223, 54878, 50832, 52223, 50835, 51223, 50864, 51513, 50857, 52111, 52348, 51004, 51513, 50862, 51223, 53383, 50832, 54087, 52223, 50834, 75923, 51513, 50854, 51532, 53637, 50870, 67569, 51513, 53695, 50964, 54412, 51792, 50825, 75923, 51513, 50844, 51250, 55098, 50964, 57656, 53617, 52771, 50928, 51250, 68676, 50961, 51223, 50895, 51658, 51539, 51909, 66657, 54697, 50835, 51262, 50818, 51355, 50817, 51223, 52616, 50832, 52223, 50835, 52283, 51916, 50928, 51513, 51043, 51223, 61495, 51062, 51535, 50450, 50832, 56061, 52465, 50835, 51223, 50987, 51262, 50936, 51355, 52035, 50331, 51448, 51647, 53637, 50863, 51453, 51792, 50825, 51513, 50854, 51250, 51295, 52215, 52223, 50982, 51513, 50857, 51223, 50857, 52534, 53674, 50832, 53669, 51437, 50829, 51223, 51252, 51513, 50984, 51402, 54697, 50825, 51513, 65000, 51223, 54878, 50832, 51916, 50829, 75265, 51513, 50857, 52111, 52223, 50982, 51513, 50862, 51223, 53383, 50832, 56061, 52465, 50829, 75923, 51513, 50854, 51250, 50855, 51532, 53940, 50870, 51223, 50862, 80177, 51250, 54215, 50964, 54412, 52275, 50835, 79203, 51513, 50833, 51250, 55310, 50964, 57656, 54390, 52465, 50982, 51250, 68676, 50961, 51223, 50884, 51658, 51464, 52275, 66687, 54697, 50835, 51250, 50817, 51513, 53885, 50832, 52223, 50834, 51223, 50854, 52283, 52348, 50982, 51513, 60143, 51741, 50340, 50982, 53919, 52772, 50832, 56061, 52465, 69007, 50829, 51250, 50883, 52912, 51962, 50345, 50805, 51647, 54697, 53553, 51133, 50901, 55192, 50825, 51513, 51115, 52357, 52015, 53919, 51623, 52215, 51833, 51004, 51223, 51043, 61332, 53735, 51464, 57030, 51133, 52062, 51402, 54697, 53023, 50832, 51916, 50829, 51223, 50987, 52111, 52348, 53098, 50832, 54087, 52465, 50835, 51223, 50844, 51513, 50833, 51532, 54697, 50837, 51223, 50862, 80177, 51361, 51792, 50825, 51223, 50827, 51513, 50844, 52224, 54390, 52771, 50982, 51513, 50961, 51223, 50895, 51658, 51464, 51909, 66657, 54697, 50835, 51250, 50818, 51536, 51031, 51223, 53044, 50832, 51916, 50829, 52283, 51916, 50982, 51223, 61495, 51062, 71320, 50832, 56061, 52348, 50835, 51223, 50857, 51250, 50930, 51536, 53819, 50331, 50981, 51647, 53940, 50870, 68540, 51543, 50883, 51513, 50835, 51453, 51792, 50825, 51513, 50854, 52215, 51833, 51004, 51513, 50901, 77775, 52534, 53674, 50832, 53735, 51539, 50835, 51223, 50844, 51402, 53940, 50825, 51513, 59748, 51223, 54402, 50832, 51833, 50835, 51223, 50882, 51513, 72356, 52223, 50982, 51513, 50795, 51223, 54156, 50832, 54087, 52348, 50835, 51223, 50854, 51532, 53940, 50837, 64417, 51513, 52359, 50964, 53600, 51792, 50825, 75923, 51513, 51221, 50435, 50964, 59105, 53617, 52748, 50982, 51223, 50930, 51658, 51539, 77319, 51223, 50874, 51572, 53940, 50835, 51513, 60681, 51223, 57736, 50832, 51833, 50829, 51223, 50800, 51513, 50806, 52283, 52223, 50982, 51223, 54755, 53283, 53291, 56061, 52348, 50829, 79203, 51513, 50833, 51647, 54697, 50837, 74600, 51513, 52485, 50964, 51550, 53283, 51421, 51792, 50825, 79203, 51513, 52250, 52215, 52223, 51004, 51223, 53501, 52534, 51073, 62581, 51313, 53844, 51021, 57017, 51293, 59405, 52275, 50839, 51085, 51162, 50900, 51345, 51772, 50851, 79529, 51334, 50859, 51921, 50820, 51334, 50840, 51209, 65000, 51772, 54402, 53354, 56330, 51464, 50949, 51772, 50867, 51209, 50867, 51334, 53910, 53283, 66224, 51539, 50863, 51334, 50855, 51209, 50862, 51772, 53803, 51105, 51173, 50832, 53396, 51130, 50961, 51197, 51346, 50956, 51345, 51772, 50912, 73780, 51334, 50800, 51999, 51539, 50891, 51334, 50855, 51209, 59225, 51772, 50855, 51361, 53551, 50820, 51772, 50886, 51209, 50886, 51334, 50813, 52224, 54169, 51044, 50863, 51334, 50836, 51209, 50855, 51772, 50867, 53357, 51175, 53358, 52546, 50841, 51050, 51116, 50871, 51160, 51772, 50854, 51209, 50833, 51334, 50808, 52260, 51437, 50870, 51772, 50862, 51209, 50862, 51334, 54465, 50832, 51539, 50949 ]
[ 0, 250, 15352, 30054, 8, 19448, 11057, 2214, 4246, 10, 11739, 9, 326, 5638, 18026, 6, 23338, 33518, 1264, 6, 32909, 6, 2724, 368, 31365, 25999, 6, 8, 228, 438, 4781, 2088, 6757, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 6, 42, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 12608, 6, 163, 37152, 6, 12608, 119, 1176, 406, 6, 8, 230, 119, 406, 3639, 10, 2842, 9, 33327, 7, 5, 1374, 15229, 6, 150, 5, 10320, 1258, 8, 9804, 5042, 7, 5, 2214, 18, 1372, 8, 12298, 16464, 6, 442, 24, 10686, 13, 1619, 50, 822, 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 ]	[ 54458, 50415, 50852, 60161, 50843, 56344, 51468, 50429, 50852, 59990, 50843, 67129, 53027, 50852, 60954, 51842, 50451, 50852, 52579, 54595, 50822, 54864, 50822, 52394, 63105, 50843, 54359, 53709, 50925, 54461, 50925, 52608, 50925, 51601, 51842, 52039, 50805, 53266, 50805, 51979, 60770, 50852, 60461, 53709, 51111, 54461, 51111, 52608, 51111, 50424, 51769, 60517, 62957, 52334, 51116, 53456, 51116, 51978, 51116, 58932, 57535, 53709, 50867, 54461, 63136, 51468, 50439, 50852, 64562, 52647, 51066, 52609, 51377, 53362, 51072, 67746, 55223, 52609, 50952, 53362, 50917, 52647, 50860, 51842, 50453, 50852, 58472, 51842, 50460, 69386, 52177, 54595, 50822, 54864, 50822, 52394, 50822, 52399, 50820, 53709, 50925, 54461, 50925, 52608, 50925, 50424, 51842, 52039, 50805, 53266, 50805, 51979, 74083, 63609, 53709, 51111, 54461, 51111, 52608, 51111, 50431, 50804, 50863, 57671, 53934, 68442, 50817, 52334, 51116, 53456, 51116, 51978, 51116, 54268, 57854, 51468, 50448, 50852, 58078, 52609, 51255, 52647, 62568, 53362, 51043, 58201, 58077, 52609, 50921, 53362, 50977, 52647, 50860, 51842, 51601, 50852, 63180, 51842, 79142, 55477, 52334, 50840, 53456, 50840, 51978, 50840, 53764, 56839, 52211, 51111, 53542, 51111, 52656, 51111, 50434, 51842, 51431, 50805, 51947, 50805, 52380, 50805, 50436, 50852, 57405, 52211, 50938, 53542, 50938, 52656, 50938, 50442, 51723, 50820, 52339, 50820, 52436, 52616, 62957, 51723, 51116, 52339, 51116, 52436, 51116, 50451, 50843, 61250, 51468, 60651, 54991, 53643, 51432, 51959, 51167, 52951, 51460, 52609, 51160, 52177, 50843, 57404, 52609, 50823, 51959, 51045, 50422, 53643, 50886, 52951, 50860, 51842, 50424, 50852, 60341, 55009, 51258, 74052, 50852, 56305, 54595, 50827, 54864, 50827, 52394, 66143, 57602, 50820, 53709, 50865, 54461, 50865, 52608, 50865, 50443, 76552, 52039, 50942, 53266, 50942, 51979, 69775, 50852, 54368, 53709, 51043, 54461, 51043, 52608, 51043, 50453, 62957, 52334, 51116, 53456, 51116, 51978, 51116, 50460, 50843, 50839, 71349, 50825, 52906, 58592, 53362, 51110, 52647, 50993, 52609, 50993, 50427, 50843, 56657, 52609, 50823, 53362, 51138, 52647, 50860, 51842, 50434, 69591, 51570, 55788, 50852, 55685, 54595, 50827, 54864, 50827, 52394, 66823, 57602, 50820, 53709, 50910, 54461, 50910, 52608, 50910, 51647, 50837, 52039, 51110, 53266, 51110, 51979, 51110, 50455, 53709, 50846, 54461, 50846, 52608, 53173, 63609, 53709, 50805, 54461, 50805, 52608, 50805, 50799, 54595, 50908, 53808, 50825, 54864, 50908, 56173, 50825, 52394, 50908, 52491, 55916, 62957, 54595, 51411, 54864, 51411, 52394, 51411, 62074, 52992, 51468, 50429, 50852, 59508, 53234, 50975, 52114, 51160, 52647, 51221, 52158, 50993, 50436, 50843, 62047, 53234, 59475, 52647, 52179, 52114, 50860, 52158, 50860, 51842, 56960, 60954, 51842, 50451, 50852, 52579, 54595, 50874, 54864, 50874, 52394, 50874, 57268, 51695, 50820, 53709, 50846, 54461, 50846, 52608, 54943, 53709, 50952, 54461, 50952, 52608, 50952, 51601, 51842, 52039, 50925, 53266, 50925, 51979, 50925, 50417, 63609, 53709, 50870, 54461, 50870, 52608, 61543, 53709, 51060, 54461, 51060, 52608, 51060, 53951, 59825, 50816, 72059, 60517, 62957, 53808, 50846, 52334, 51095, 56173, 50846, 53456, 51095, 52491, 50846, 51978, 51095, 58932, 56802, 53808, 50820, 56173, 50820, 52491, 53908, 53689, 50835, 55173, 50835, 52228, 62196, 51468, 50439, 50852, 64562, 52609, 50975, 52647, 50993, 53362, 51346, 67746, 52725, 53362, 51045, 52647, 50823, 52609, 66054, 51842, 50453, 50852, 58472, 51842, 50460, 69386, 52177, 54595, 51051, 54864, 51051, 52394, 51051, 50418, 51842, 56478, 50822, 52906, 50839, 53709, 50846, 53709, 50897, 54461, 50846, 54461, 50897, 52608, 50846, 52608, 50897, 54512, 50865, 50424, 52039, 50937, 53266, 50937, 53628, 50813, 51979, 50937, 50425, 51842, 50427, 53709, 50846, 53709, 51095, 54461, 50846, 54461, 51095, 52608, 50846, 54512, 51286, 52608, 51095, 50428, 50852, 56657, 50804, 58662, 52647, 52151, 51772, 50915, 51674, 50995, 51334, 51466, 51140, 72447, 53390, 77986, 53785, 52609, 52392, 51959, 52071, 53808, 50884, 52334, 51116, 56173, 50884, 53456, 51116, 52491, 50884, 56404, 50975, 51978, 51116, 50441, 51522, 75496, 52995, 55186, 53709, 50827, 54461, 50827, 52608, 66823, 51772, 51490, 51461, 51505, 50856, 51031, 50449, 51334, 51490, 51674, 51490, 50453, 50856, 52881, 51560, 75496, 53110, 60880, 50856, 50841, 51601, 51140, 51388, 50856, 53223, 57929, 50841, 58837, 50841, 54727, 59891, 54595, 50978, 54864, 50978, 52394, 50978, 50422, 51560, 51505, 50843, 52995, 52870, 50856, 50841, 54595, 50827, 54864, 50827, 52394, 50827, 56478, 51524, 50427, 52647, 52140, 51959, 51939, 52609, 52140, 50428, 53709, 50891, 54461, 50891, 52608, 57845, 51772, 50995, 51674, 51097, 51334, 52397, 51560, 51388, 50856, 50841, 53709, 50830, 53808, 51851, 54461, 50830, 56173, 51851, 52491, 51851, 52608, 50830, 54512, 57070, 50434, 52039, 51212, 53266, 51212, 53628, 51058, 51979, 51212, 50436, 51461, 72815, 53110, 59653, 53709, 50846, 53709, 51158, 54461, 50846, 54461, 51158, 52608, 50846, 54512, 50865, 52608, 51158, 50441, 51461, 55019, 53239, 51772, 50938, 51674, 50917, 51334, 51174, 51140, 51192, 50856, 50841, 53808, 50818, 52334, 51095, 56173, 50818, 53456, 51095, 52491, 50818, 56404, 51215, 51978, 51095, 50451, 51772, 51662, 51334, 52528, 51674, 51662, 51098, 51388, 50843, 53110, 55647, 53808, 50835, 56173, 50835, 52491, 59699, 53689, 50971, 55173, 50971, 52228, 62298, 51522, 51505, 50856, 50841, 55858, 56813, 52647, 51642, 52609, 51645, 51959, 51534, 50417, 51461, 51505, 50843, 53110, 50841, 56400, 51031, 50424, 52647, 52015, 52609, 51623, 51959, 52015, 51140, 51286, 50856, 53230, 51522, 75496, 52995, 73957, 52334, 50836, 53456, 50836, 51978, 50836, 56404, 65833, 51772, 51961, 51674, 51961, 51334, 51961, 51461, 51505, 50856, 51031, 52211, 51095, 53542, 51095, 52394, 50805, 52656, 51095, 50443, 50856, 50841, 52608, 54400, 51431, 51116, 51947, 51116, 52380, 51116, 50446, 51560, 75496, 53110, 54926, 52211, 50805, 53542, 50805, 52394, 50911, 52656, 72065, 50856, 64563, 51723, 50863, 52339, 50863, 52436, 50863, 53580, 51110, 50453, 52609, 50835, 51890, 51775, 53464, 51346, 51674, 50863, 69172, 51934, 51852, 50454, 51261, 51505, 50856, 50841, 51723, 50889, 52339, 50889, 52436, 50889, 50460, 51522, 51505, 50843, 52995, 50841, 52177, 51890, 51939, 52609, 52140, 53464, 52140, 50856, 53223, 51256, 52397, 51674, 50995, 51934, 51097, 51522, 51388, 50856, 56670, 51140, 72815, 53110, 62357, 51140, 55019, 59311, 51256, 51174, 51674, 50938, 51934, 50917, 52157, 51192, 50856, 55384, 51674, 51535, 51256, 52598, 51934, 51535, 51461, 51388, 50843, 53110, 59673, 54595, 50827, 54864, 50827, 56478, 50844, 52394, 66823, 52318, 51505, 50856, 59596, 54595, 50928, 51744, 51297, 53709, 50828, 53709, 50952, 54864, 50928, 52384, 51297, 54461, 50828, 54461, 50952, 52394, 50928, 52608, 50828, 53625, 51297, 54512, 50940, 52608, 50952, 50453, 51890, 51534, 52609, 51645, 53464, 51645, 50856, 59617, 52039, 50866, 53266, 50866, 53628, 50851, 51979, 54752, 51140, 51505, 50843, 53110, 50841, 52298, 50908, 53709, 50828, 53709, 51173, 53175, 50908, 54461, 50828, 54461, 51173, 52608, 50828, 53319, 50908, 54512, 50976, 52608, 51173, 50460, 50856, 51031, 51601, 52647, 52151, 52609 ]
[ 0, 250, 15855, 2125, 19, 5175, 4785, 6, 4246, 10, 769, 196, 6757, 8, 856, 17993, 6, 278, 11, 5, 5425, 86, 6543, 9, 112, 73, 398, 4, 20, 7212, 20889, 15229, 11, 272, 3694, 7630, 6568, 10, 3344, 9, 25306, 6, 2933, 6, 8, 1372, 6711, 29, 4, 20, 33301, 30853, 81, 10, 5705, 16331, 33215, 16739, 9, 163, 428, 6, 274, 6, 8, 272, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50861, 56179, 51085, 51056, 51026, 65430, 51056, 50876, 51073, 56014, 64511, 57094, 59353, 55122, 50900, 59229, 61317, 51001, 51073, 55895, 64511, 57094, 61433, 55416, 50951, 60867, 51241, 50956, 51241, 78548, 51540, 51001, 51073, 56546, 69052, 50951, 65815, 51675, 50956, 51675, 50861, 51675, 50450, 51001, 51073, 50462, 50876, 51073, 50474, 51234, 51417, 51050, 51417, 75482, 50906, 51472, 51474, 56759, 60959, 64475, 50876, 51073, 62335, 51417, 50899, 51417, 78549, 50902, 51472, 50462, 50997, 60959, 64475, 51001, 51073, 50474, 50931, 73569, 51675, 50899, 51675, 50871, 51675, 51540, 51081, 69555, 50951, 69052, 50931, 73569, 51675, 50899, 51675, 50871, 51675, 63932, 51073, 50462, 50906, 51073, 50474, 51085, 51417, 51026, 51417, 50900, 51417, 50876, 51472, 51474, 53523, 59229, 61317, 50902, 51073, 55203, 51417, 50956, 73327, 51417, 51001, 51472, 50462, 50900, 59229, 61317, 50931, 51073, 50474, 50951, 65815, 51675, 50956, 51675, 50861, 51675, 51540, 51001, 51073, 56546, 51073, 66836, 73569, 51675, 50899, 51675, 50871, 51675, 50450, 51001, 51073, 50462, 50931, 51073, 50474, 50951, 51073, 51197, 51675, 51026, 51675, 50997, 51675, 50956, 51675, 51540, 51147, 69555, 50951, 69052, 50931, 77468, 51675, 51086, 51675, 50899, 51675, 50871, 51675, 50450, 51001, 51073, 50462, 50902, 51073, 50474, 50900, 51417, 50956, 73327, 51417, 50876, 51472, 51474, 53523, 59229, 61317, 51062, 51073, 62275, 51417, 51026, 51417, 50900, 51417, 50876, 51472, 50462, 51643, 51160, 50474, 51652, 51160, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 51540, 51643, 63447, 51643, 51160, 51085, 65430, 59229, 61928, 64217, 50438, 51643, 51274, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 50462, 51633, 51160, 51085, 65430, 59229, 61928, 64217, 50474, 52200, 51274, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 75196, 51633, 51160, 51085, 65430, 59229, 61928, 64217, 50438, 52200, 51274, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 50462, 51643, 51160, 51085, 65430, 59229, 61928, 64217, 50474, 51721, 51469, 51197, 51359, 50997, 51359, 50956, 51655, 50861, 51655, 50906, 51655, 51474, 50462, 51652, 51160, 51026, 58104, 51073, 50474, 51721, 51469, 51234, 51359, 50997, 51359, 50899, 51655, 50871, 51655, 50906, 51655, 51474, 50462, 51643, 51160, 50474, 51652, 51160, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 51540, 51643, 63447, 51643, 51160, 51085, 65430, 59229, 61928, 64217, 50438, 51643, 51274, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 50462, 51633, 51160, 51085, 65430, 59229, 61928, 64217, 50474, 52200, 51274, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 75196, 51633, 51160, 51085, 65430, 59229, 61928, 64217, 50438, 52200, 51274, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 50462, 51993, 51160, 51050, 64475, 50931, 51073, 50474, 52372, 51469, 51197, 51359, 51026, 51359, 50997, 51359, 50956, 51359, 50906, 51655, 51001, 51655, 50951, 51655, 51474, 50462, 52200, 51160, 51197, 59229, 51056, 51001, 51073, 50474, 52372, 51469, 51026, 51359, 50861, 51359, 50973, 51655, 50902, 51655, 50951, 51655, 51474, 50462, 52200, 50936, 50468, 51993, 50936, 50474, 52372, 51274, 51197, 51417, 50956, 51417, 50906, 51472, 51001, 51472, 50951, 51472, 75196, 52372, 51160, 51197, 59229, 51056, 50906, 51073, 51001, 51073, 50951, 69052, 52372, 51160, 51197, 51417, 50956, 51417, 50906, 51472, 51001, 51472, 50951, 51472, 50450, 51993, 51160, 50462, 52200, 51160, 50474, 51993, 51274, 75482, 78549, 50906, 51472, 50902, 51472, 50931, 51472, 75196, 51993, 51160, 50997, 64475, 50906, 73642, 51073, 50931, 69052, 51993, 51274, 75482, 78549, 50906, 51472, 50902, 51472, 50931, 51472, 50462, 51633, 51160, 50474, 52200, 51274, 51085, 51417, 50900, 73327, 51472, 50876, 51472, 51001, 51472, 75196, 52200, 51160, 51085, 65430, 58104, 64217, 51001, 69052, 52200, 51160, 51085, 51417, 50900, 73327, 51472, 50876, 51472, 51001, 51472, 50450, 51633, 51160, 50462, 51643, 51160, 50474, 51633, 51274, 51026, 73327, 51472, 50973, 51472, 50902, 51472, 75196, 51633, 51160, 51026, 58104, 51073, 50973, 73642, 69052, 51633, 51160, 51026, 73327, 51472, 50973, 51472, 50902, 51472, 50450, 52200, 51160, 50462, 51993, 51160, 50474, 52372, 51685, 51197, 51675, 50956, 51675, 50906, 51896, 51001, 51896, 50951, 51896, 51474, 50438, 51993, 51685, 51050, 51675, 50871, 51675, 50906, 51896, 50902, 51896, 50931, 51896, 50474, 52200, 51685, 51026, 51675, 50861, 51896, 50876, 51896, 51001, 51896, 51474, 50438, 51633, 51685, 51026, 51675, 50861, 51896, 50973, 51896, 50902, 51896, 50474, 51652, 51160, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 51540, 51643, 63447, 51643, 51160, 51085, 65430, 59229, 61928, 64217, 50438, 51643, 51274, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 50462, 52135, 51160, 51026, 60959, 63882, 61928, 51073, 50973, 51073, 50474, 51643, 51469, 51085, 51359, 50900, 51359, 50956, 51655, 50861, 51655, 50876, 51655, 51474, 50474, 52118, 51073, 51540, 55532, 51417, 53874, 51417, 52724, 51417, 52360, 51472, 50438, 52724, 51056, 53252, 51056, 52118, 51056, 52779, 69556, 52724, 51417, 53252, 51417, 52118, 51417, 53276, 51472, 50474, 52724, 51056, 53252, 51056, 52118, 51056, 53328, 51073, 51540, 53074, 51073, 52724, 51675, 53252, 51675, 52118, 51675, 50426, 53276, 69052, 52360, 69556, 53074, 51073, 52724, 51675, 53252, 51675, 52118, 51675, 50462, 53276, 51073, 50474, 52360, 51073, 51540, 56064, 51417, 54470, 51417, 53480, 51417, 52661, 51472, 50438, 53480, 51056, 52508, 51056, 52230, 51056, 52360, 69556, 53480, 51417, 52508, 51417, 52230, 51417, 52779, 51472, 50474, 53480, 51056, 52508, 51056, 52230, 51056, 53276, 51073, 51540, 53328, 51073, 53480, 51675, 52508, 51675, 52230, 51675, 50426, 54548, 69052, 53074, 69556, 53328, 51073, 53480, 51675, 52508, 51675, 52230, 51675, 50462, 52779, 51073, 50474, 52661, 51073, 51540, 55532, 51417, 53874, 51417, 52724, 51417, 52360, 51472, 50438, 52724, 51056, 53252, 51056, 52118, 51056, 52779, 69556, 52724, 51417, 53252, 51417, 52118, 51417, 53276, 51472, 50474, 52724, 51056, 53252, 51056, 52118, 51056, 53328, 51073, 51540, 53074, 51073, 52724, 51675, 53252, 51675, 52118, 51675, 50426, 53276, 69052, 52360, 69556, 52779, 51073, 53480, 51675, 52508, 51675, 52230, 51675, 50462, 53276, 51073, 50474, 53328, 51073, 51540, 53074, 51073, 58912, 51675, 53874, 51675, 53480, 51675, 53252, 51675, 50426, 55183, 69052, 53074, 69556, 53328, 51073, 53874, 51675, 55424, 51675, 52508, 51675, 52230, 51675, 50462, 53276, 51073, 50474, 52779, 51073, 51540, 52724, 51417, 53252, 51417, 52118, 51417, 52360, 51472, 50438, 52724, 51056, 53252, 51056, 52118, 51056, 54122, 69556, 55532, 51417, 53874, 51417, 52724, 51417, 52360, 51472, 50474, 51752, 51160, 51540, 52182, 51160, 55532, 51417, 52724, 51417, 53252, 51472, 52118, 51472, 52360, 51472, 50426, 51752, 68392, 51752, 51160, 55532, 51056, 52724, 51056, 53252, 51073, 52118, 51073, 52360, 69556, 51752, 51274, 55532, 51417, 52724, 51417, 53252, 51472, 52118, 51472, 52360, 51472, 50474, 51596, 51160, 55532, 51056, 52724, 51056 ]
[ 0, 250, 15352, 30054, 1619, 3495, 2214, 11, 230, 10431, 3694, 6, 4246, 13305, 6, 38668, 2236, 6, 21979, 9590, 6, 8, 21072, 4, 590, 10, 19448, 38451, 3938, 20889, 8, 10, 316, 73, 398, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 657, 8, 11098, 4, 20, 33215, 16739, 1171, 2060, 406, 6, 163, 43531, 406, 6, 230, 119, 6, 230, 10431, 401, 6, 8, 230, 10431, 73, 534, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 53261, 50628, 50522, 53391, 51103, 50546, 53985, 50914, 53261, 54911, 51486, 50450, 50931, 50915, 64139, 50915, 50462, 51114, 50915, 58349, 71207, 51001, 50915, 69765, 50915, 50486, 50931, 51422, 64139, 51422, 50522, 54911, 50914, 50534, 53391, 50914, 50546, 56417, 50812, 50549, 67751, 51124, 53261, 53985, 51486, 56415, 50915, 53033, 50915, 50462, 50989, 50915, 54021, 71207, 50956, 50915, 53262, 50915, 50486, 50871, 52644, 53033, 51422, 50522, 55102, 50914, 51868, 51422, 50903, 51047, 50534, 54669, 51103, 53261, 53686, 53259, 50965, 51422, 50973, 51422, 51028, 51422, 51868, 52919, 50801, 51047, 51570, 58833, 50965, 51047, 50973, 51047, 51028, 51047, 50903, 51047, 50474, 53686, 65208, 50915, 51868, 58435, 50915, 50486, 57198, 51591, 51147, 51047, 51522, 52919, 50801, 51047, 50510, 50931, 56901, 51016, 50516, 56806, 50849, 50522, 53686, 51103, 50965, 51422, 50973, 51422, 51028, 51422, 50903, 51047, 50546, 53686, 50914, 51522, 56901, 51016, 53261, 56806, 51103, 50965, 51422, 50973, 51422, 51868, 52919, 50801, 60610, 53686, 55859, 58833, 53686, 51307, 50965, 51422, 50973, 51422, 50903, 51047, 50462, 51001, 71207, 50876, 50915, 52318, 58435, 50915, 50486, 51028, 63772, 51422, 50906, 51422, 51028, 51422, 51560, 51422, 50801, 51047, 50489, 65473, 50492, 50931, 51115, 50510, 53686, 51486, 51001, 56901, 51016, 50522, 51028, 58134, 51422, 50965, 51422, 51140, 51422, 50903, 51047, 50534, 72421, 50546, 54669, 55859, 51016, 53261, 54669, 74127, 51422, 50906, 51422, 51705, 52919, 50801, 62479, 53686, 55965, 54669, 55859, 58833, 54669, 74127, 51422, 50906, 51422, 50903, 51047, 50462, 55102, 51307, 50474, 60834, 51705, 58435, 50915, 50477, 60256, 50480, 51028, 51452, 50486, 50989, 51422, 50906, 51422, 51028, 51422, 52318, 52644, 50801, 51047, 50510, 50906, 56901, 51016, 50522, 50989, 51422, 50906, 51422, 50903, 51047, 50534, 55102, 51103, 50546, 50791, 51016, 53261, 54669, 74127, 51422, 50906, 51422, 51705, 52919, 50801, 62479, 53686, 55965, 54669, 52808, 61726, 55102, 51894, 50450, 50989, 51422, 50906, 51422, 51028, 51422, 50903, 51047, 50474, 51705, 58435, 50915, 50486, 50871, 51422, 51705, 52644, 50801, 51047, 50510, 53391, 51486, 50791, 51016, 50522, 50989, 51422, 50906, 51422, 50903, 51047, 50546, 55102, 55859, 51016, 53261, 53391, 50914, 52318, 52919, 50801, 62479, 54911, 55965, 53985, 54153, 50791, 58833, 51028, 51047, 50903, 51047, 50474, 51001, 50915, 52318, 58435, 50915, 50486, 51028, 52919, 50931, 52919, 51522, 52919, 50801, 51047, 50510, 50791, 51016, 50522, 50903, 51047, 50546, 51001, 50915, 51522, 56901, 51016, 50552, 70806, 50555, 65473, 53261, 51147, 51047, 51028, 51422, 50931, 51422, 51868, 51422, 50801, 60610, 51001, 56901, 58833, 51147, 51047, 50876, 51422, 50931, 51422, 51522, 51422, 50903, 51047, 50474, 51001, 58435, 50915, 50486, 51147, 51047, 51028, 51422, 50931, 51422, 51261, 51422, 50801, 51047, 50510, 51001, 51397, 50791, 51016, 50522, 53985, 51103, 51028, 51422, 50931, 51422, 51150, 51422, 50903, 51047, 50546, 54911, 55859, 51016, 53261, 54911, 79438, 51422, 50871, 51422, 51868, 52919, 50801, 62479, 54911, 53259, 51570, 58833, 51040, 51422, 50871, 51422, 50903, 51047, 50474, 51868, 58435, 50915, 50486, 54911, 53259, 51040, 51422, 50871, 51422, 51522, 52919, 50801, 51047, 50510, 50791, 51016, 50522, 51040, 51422, 50871, 51422, 50903, 51047, 50546, 54911, 50914, 51522, 56901, 51016, 53261, 53391, 79438, 51422, 50906, 51422, 51868, 52919, 50801, 62479, 54911, 55965, 53985, 55859, 58833, 54911, 51486, 51040, 51422, 50965, 51422, 50903, 51047, 50474, 50965, 50915, 51868, 58435, 50915, 50486, 51028, 51047, 51040, 51422, 50965, 51422, 51522, 52919, 50801, 51047, 50510, 50906, 56901, 51016, 50522, 51001, 51047, 50871, 51422, 50965, 51422, 50903, 51047, 50534, 55102, 50914, 50546, 54669, 60763, 50915, 51522, 56901, 51016, 53261, 53686, 61581, 51422, 50965, 51422, 51868, 52919, 50801, 62479, 54669, 55965, 55102, 51486, 50791, 51016, 56415, 51422, 50965, 51422, 50903, 51047, 50474, 55102, 50914, 51868, 58435, 50915, 50486, 53686, 58963, 51422, 50965, 51422, 51522, 52919, 50801, 51047, 50489, 56806, 50812, 50492, 57198, 51894, 50510, 50791, 51016, 50522, 50871, 51422, 50965, 51422, 50965, 51422, 50903, 51047, 50534, 53686, 51103, 50546, 51522, 56901, 51016, 53261, 57198, 51103, 50871, 51422, 50965, 51422, 51868, 52919, 50801, 60610, 53686, 55859, 58833, 53686, 61581, 51422, 50965, 51422, 50903, 51047, 50462, 54669, 50914, 50474, 55102, 51307, 51028, 51025, 51261, 58435, 50915, 50486, 50931, 51115, 50871, 51422, 50965, 51422, 51522, 51422, 50801, 51047, 50510, 50965, 51115, 51028, 72876, 51016, 50522, 50871, 51422, 50965, 51422, 51140, 51422, 50903, 51047, 50546, 55102, 55859, 51016, 53261, 54669, 53259, 50861, 51422, 50906, 51422, 51560, 52919, 50801, 51047, 51570, 51016, 56222, 51422, 50906, 51422, 50903, 51047, 50474, 53686, 50914, 51560, 58435, 50915, 50486, 54669, 53259, 50861, 51422, 50906, 51422, 51261, 52644, 50801, 51047, 50510, 50791, 51016, 50522, 50861, 51422, 50906, 51422, 50903, 51047, 50546, 55102, 55859, 51016, 53261, 53686, 51486, 50861, 51422, 50906, 51422, 51560, 52919, 50801, 51047, 51570, 58833, 54669, 51103, 50861, 51422, 50906, 51422, 50903, 51047, 50474, 55102, 51307, 51560, 58435, 50915, 50486, 50861, 51422, 50906, 51422, 51560, 52644, 50801, 51047, 50510, 50791, 51016, 50522, 50861, 51422, 50906, 51422, 50903, 51047, 50534, 54669, 50914, 50546, 54911, 55859, 51016, 53261, 52689, 51103, 50956, 51422, 50876, 51422, 51522, 52919, 50801, 60610, 53391, 55859, 58833, 54911, 52903, 50900, 52644, 50956, 52644, 50965, 52644, 50903, 51047, 50474, 51522, 58435, 50915, 50486, 51560, 52644, 50801, 51047, 50510, 50791, 51016, 50522, 51040, 51422, 50871, 51422, 50906, 51422, 50903, 51047, 50546, 50791, 51016, 53261, 50956, 51422, 50989, 51422, 50876, 52644, 51522, 52644, 50801, 51047, 51570, 58833, 50956, 51422, 50989, 51422, 50903, 51047, 50474, 50801, 50915, 50486, 51040, 51422, 50906, 51422, 51261, 51422, 50801, 51047, 50510, 50791, 51016, 50522, 53391, 51103, 50956, 51422, 50906, 51422, 51150, 51422, 50903, 51047, 50546, 53985, 55859, 51016, 53261, 54911, 51486, 50956, 51422, 50965, 51422, 51150, 52644, 50801, 70703, 50931, 50915, 64139, 50915, 50462, 51114, 50915, 58349, 71207, 51001, 50915, 69765, 50915, 50486, 50931, 52919, 64139, 51422, 50522, 53391, 51103, 50546, 53985, 50914, 53261, 54911, 51486, 56415, 50915, 53033, 50915, 50462, 50989, 50915, 54021, 71207, 50956, 50915, 53262, 50915, 50486, 50871, 52644, 53033, 52644, 50522, 50903, 51047, 50534, 55102, 50914, 50546, 54669, 50914, 53261, 53686, 53259, 50965, 51422, 50973, 51422, 51028, 51422, 51868, 52919, 50801, 51047, 51570, 58833, 50965, 51047, 50973, 51047, 51028, 51047, 50903, 51047, 50474, 53686, 65208, 50915, 51868, 58435, 50915, 50486, 57198, 51591, 51147, 51047, 51522, 52919, 50801, 51047, 50510, 50931, 56901, 51016, 50516, 56806, 50849, 50522, 53686, 51103, 50965, 51422, 50973, 51422, 51028, 51422, 50903, 51047, 50546, 53686, 50914, 51522, 56901, 51016, 53261, 56806, 51103, 50965, 51422, 50973, 51422, 51868, 52919, 50801, 60610, 53686, 55859, 58833, 53686, 51307, 50965, 51422, 50973, 51422, 50903, 51047, 50462, 51001, 71207, 50876, 50915, 52318, 58435 ]
[ 0, 250, 8787, 3495, 8, 5175, 15229, 11, 2060, 538, 6, 42, 2125, 16, 17407, 30, 63, 2635, 155, 73, 306, 86, 6543, 8, 5, 24429, 2621, 9, 10, 13305, 4, 20, 6711, 19615, 1626, 227, 20425, 6, 15352, 30054, 6, 8, 1372, 6, 19, 12577, 17878, 9, 15073, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 2060, 6, 272, 37152, 6, 163, 43531, 6, 8, 211, 12361, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50623, 51360, 51199, 50420, 51147, 52688, 51081, 54889, 51147, 52739, 51114, 53720, 50931, 52788, 51405, 55608, 51399, 53086, 51062, 54043, 69557, 51034, 51081, 56115, 51147, 52944, 51040, 65505, 50932, 53645, 53052, 76890, 51040, 65668, 51147, 53945, 69609, 50956, 58978, 51114, 53086, 59715, 51176, 57060, 67108, 51034, 51001, 57933, 51040, 52688, 51040, 57643, 53052, 51028, 50933, 50906, 65668, 50931, 53945, 59715, 50989, 58978, 51001, 53086, 51028, 64660, 67446, 51001, 56453, 51028, 53528, 57947, 51034, 57947, 51040, 51199, 72239, 59527, 51028, 61732, 50876, 73357, 52944, 50931, 53109, 51028, 52641, 75417, 50429, 51040, 52739, 50871, 53720, 51040, 52788, 51176, 55608, 51040, 53086, 51050, 54043, 51176, 50827, 51034, 51360, 51199, 50420, 51147, 52688, 50951, 58245, 51147, 64640, 51081, 50825, 51147, 52739, 51114, 53720, 50931, 52788, 51405, 55608, 51399, 53086, 51062, 54043, 69557, 51034, 51081, 56115, 51147, 52944, 51040, 65505, 51309, 53645, 77829, 51081, 60394, 51062, 53998, 51399, 78277, 68232, 51405, 61284, 51339, 53945, 50956, 65505, 53624, 51114, 50825, 51176, 67446, 51147, 56453, 51114, 53528, 51147, 59361, 50931, 50825, 51114, 57723, 51114, 50825, 51034, 51114, 51134, 61683, 52688, 51040, 58125, 50931, 52739, 51147, 50933, 50871, 65668, 51028, 53945, 59715, 50989, 58978, 51001, 53086, 51028, 64660, 67446, 51001, 56453, 51028, 53528, 57947, 51034, 51028, 60123, 51040, 53004, 58529, 50965, 56909, 51040, 52580, 51176, 54889, 51040, 52739, 51050, 53720, 51176, 52788, 51040, 55608, 50871, 53086, 50965, 54043, 59950, 51034, 50989, 51199, 79578, 53004, 51081, 53591, 51399, 52580, 69557, 50871, 58125, 51147, 52739, 51339, 50827, 51040, 56784, 51399, 52788, 50956, 65505, 53624, 51114, 50825, 51176, 67446, 51147, 56453, 51114, 53528, 51147, 59361, 50931, 50825, 51114, 57723, 51114, 50825, 51034, 51114, 60123, 51040, 53004, 58529, 50931, 56909, 51040, 52580, 51176, 54889, 51040, 52739, 51050, 53720, 51176, 52788, 51040, 55608, 50871, 53086, 50965, 54043, 59950, 51028, 51592, 51034, 50989, 51199, 79578, 53004, 51081, 53591, 51399, 52580, 62440, 76133, 52739, 51147, 53720, 51399, 52788, 69609, 65929, 50441, 51114, 53086, 51405, 50827, 50876, 57060, 67176, 51034, 51040, 51199, 51028, 51199, 75536, 53004, 51147, 53591, 50931, 52580, 63009, 50989, 51199, 50429, 51001, 52658, 51114, 54112, 51081, 54181, 51147, 50854, 51378, 58978, 51114, 54746, 61196, 51026, 57060, 65473, 51034, 51028, 67075, 51176, 53004, 60906, 50876, 62149, 51176, 52580, 51197, 54889, 51176, 52739, 51085, 53720, 51197, 52788, 51176, 55608, 50900, 53086, 50956, 54043, 60906, 51034, 75417, 77343, 54351, 51405, 55266, 51062, 53450, 66283, 50429, 51399, 53513, 51081, 55167, 50951, 53614, 50876, 51199, 50441, 50951, 53783, 51147, 55876, 65559, 51034, 51405, 51312, 50417, 50965, 53004, 50876, 53591, 50965, 52580, 51405, 57334, 51399, 64561, 51062, 50834, 51399, 51363, 50429, 50906, 52739, 51028, 53720, 50951, 52788, 51399, 58159, 51062, 64562, 51081, 80131, 51363, 50441, 50876, 53086, 51001, 54043, 69609, 51034, 51028, 51199, 50417, 51081, 54351, 51062, 55266, 50999, 53450, 77213, 51040, 51310, 50429, 51430, 52658, 51339, 54112, 51062, 52729, 51405, 56532, 51399, 54746, 51062, 65860, 65586, 51081, 50854, 51034, 51147, 51003, 50417, 50956, 54351, 50871, 55266, 50899, 53450, 50951, 72792, 60950, 51147, 59551, 50951, 76609, 50871, 52658, 50861, 54112, 50965, 52729, 50906, 56532, 50876, 54746, 51028, 56888, 76254, 51034, 51028, 51003, 50417, 51147, 54351, 51081, 55266, 50951, 53450, 50876, 50820, 51147, 60950, 51028, 59551, 71090, 50429, 51081, 52658, 51062, 54112, 51399, 52729, 51405, 56532, 51339, 54746, 51399, 56888, 51081, 50854, 51034, 51147, 51003, 50417, 50956, 54351, 50871, 55266, 50899, 53450, 50951, 70170, 60950, 51147, 64561, 50951, 51411, 78414, 52658, 50861, 54112, 50965, 52729, 50906, 56532, 50876, 54746, 51028, 56888, 76254, 51034, 51028, 51003, 50417, 51147, 54351, 51081, 55266, 50951, 53450, 50876, 50834, 51147, 70134, 51028, 64561, 50876, 51391, 50429, 51081, 53513, 51062, 55167, 51399, 53614, 51405, 51145, 50441, 51114, 53086, 69609, 50906, 60785, 67176, 51034, 50931, 51199, 50417, 50877, 54351, 50876, 55266, 50877, 52654, 60834, 50931, 51627, 51399, 51538, 50429, 50876, 53911, 51028, 56529, 50876, 54181, 50906, 62079, 50965, 53103, 50861, 57460, 50965, 55685, 50861, 54028, 66457, 51034, 51001, 51199, 50417, 50861, 54351, 50906, 55266, 50861, 52654, 50965, 50810, 51001, 51627, 51062, 51446, 50429, 50906, 53911, 50876, 56529, 50906, 54181, 50965, 57927, 50906, 62738, 50965, 55218, 50861, 53103, 50871, 57460, 50989, 55685, 50871, 54028, 71430, 51034, 51040, 51592, 50417, 50968, 54351, 50931, 54316, 50999, 52654, 51081, 62847, 51312, 50429, 51430, 53911, 51339, 54487, 51062, 54181, 51399, 69862, 51312, 50441, 50999, 53103, 51081, 54803, 58398, 68321, 51592, 50417, 50902, 54351, 51001, 54316, 50951, 52654, 51147, 72792, 51312, 50429, 51146, 53911, 51405, 54487, 51220, 54181, 51062, 66878, 51677, 50441, 50951, 53103, 51147, 54803, 65559, 51034, 68319, 51040, 51199, 75536, 54351, 51028, 55266, 50906, 53450, 71436, 65929, 50429, 50876, 53513, 51001, 55167, 50965, 53614, 60215, 51197, 51199, 51040, 51312, 50441, 50906, 53783, 50965, 55876, 60569, 51034, 50965, 51742, 50417, 51176, 50827, 50900, 53004, 68070, 51040, 53591, 51176, 50827, 50900, 52580, 60906, 50956, 54889, 68070, 51040, 52739, 63489, 50871, 53720, 60906, 50956, 52788, 58529, 51040, 58978, 63613, 51028, 53783, 67364, 59855, 50956, 64180, 59663, 66768, 51034, 50965, 52168, 50417, 51176, 50827, 50900, 54711, 68070, 51040, 55054, 51176, 50827, 50900, 53220, 60906, 50956, 56552, 68070, 51040, 54150, 63489, 50871, 55270, 60906, 50956, 53269, 59362, 51040, 58978, 63613, 51028, 54478, 67364, 60714, 50956, 57060, 59663, 63613, 76898, 52026, 50300, 51627, 62144, 51576, 51034, 51360, 51199, 50420, 51147, 52688, 51081, 54889, 51147, 52739, 51114, 53720, 50931, 52788, 51405, 55608, 51399, 53086, 51062, 54043, 69557, 51034, 51081, 56115, 51147, 52944, 51040, 65505, 50932, 53645, 53052, 76890, 51040, 65668, 51147, 53945, 69609, 50956, 58978, 51114, 53086, 59715, 51176, 57060, 67108, 51034, 51001, 57933, 51040, 52688, 51040, 57643, 53052, 51028, 50933, 50906, 65668, 50931, 53945, 59715, 50989, 58978, 51001, 53086, 51028, 64660, 67446, 51001, 56453, 51028, 53528, 57947, 51034, 57947, 51040, 51199, 72239, 59527, 51028, 61732, 50876, 73357, 52944, 50931, 53109, 51028, 52641, 75417, 50429, 51040, 52739, 50871, 53720, 51040, 52788, 51176, 55608, 51040, 53086, 51050, 54043, 51176, 50827, 51034, 51360, 51199, 50420, 51147, 52688, 50951, 58245, 51147, 64640, 51081, 50825, 51147, 52739, 51114, 53720, 50931, 52788, 51405, 55608, 51399, 53086, 51062, 54043, 69557, 51034, 51081, 56115, 51147, 52944, 51040, 65505, 51309, 53645, 77829, 51081, 60394, 51062, 53998, 51399, 78277, 68232, 51405, 61284, 51339, 53945, 50956, 65505, 53624, 51114, 50825, 51176, 67446, 51147, 56453, 51114, 53528, 51147, 59361, 50931, 50825, 51114, 57723, 51114, 50825, 51034, 51114, 51134, 61683, 52688, 51040, 58125, 50931, 52739, 51147, 50933, 50871, 65668, 51028, 53945, 59715, 50989, 58978, 51001, 53086, 51028, 64660, 67446, 51001, 56453, 51028, 53528 ]
[ 0, 250, 765, 6, 14899, 5175, 2214, 19, 10, 1035, 16464, 6, 4246, 21072, 6, 13305, 6, 4401, 757, 3178, 6, 31391, 1672, 9590, 6, 8, 228, 438, 4781, 2088, 6757, 6, 70, 11491, 13871, 561, 23, 10, 7212, 20889, 11, 5, 762, 9, 274, 10431, 3694, 6, 19, 10, 11602, 9, 3495, 2712, 8, 41, 5425, 86, 6543, 9, 19376, 73, 306, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50798, 51100, 51039, 50376, 51861, 70884, 50843, 53881, 51068, 51060, 50430, 51587, 73548, 68522, 50843, 53980, 75273, 60696, 50843, 53743, 51383, 53590, 50925, 57913, 53938, 51383, 58738, 50893, 50454, 51587, 50855, 51453, 72070, 50843, 50813, 51528, 51111, 50420, 51587, 53340, 50897, 73535, 53383, 51068, 50805, 50430, 51587, 50854, 51361, 50942, 50436, 50843, 73107, 50862, 51570, 52476, 50592, 60696, 50843, 50813, 52129, 71093, 50873, 57913, 52741, 51068, 50923, 50454, 51383, 50942, 51528, 51100, 51039, 50376, 51861, 70884, 50843, 53881, 51068, 51060, 50430, 51587, 73548, 68522, 50843, 53980, 75273, 60696, 50843, 53743, 51383, 53590, 50925, 57913, 53938, 51383, 58738, 50893, 50454, 51587, 50855, 51453, 72070, 50843, 50813, 51528, 51111, 50420, 51587, 53340, 50897, 73535, 53383, 51068, 50805, 50430, 51587, 50854, 51361, 50942, 50436, 50843, 73107, 50862, 51570, 52476, 50592, 60696, 50843, 50813, 52129, 71093, 50873, 57913, 52741, 51068, 50923, 50454, 51383, 50942, 55858, 54784, 50873, 66165, 50858, 53158, 50904, 53763, 51587, 51008, 66165, 67937, 50856, 55147, 53803, 50856, 58107, 50974, 50430, 51587, 50974, 71018, 70192, 50856, 54220, 50933, 50436, 50856, 57526, 55666, 62807, 50374, 52638, 50959, 66417, 62505, 50843, 54434, 50856, 54897, 50925, 51383, 50955, 66417, 75637, 50856, 51916, 54385, 51383, 54336, 51008, 51068, 72623, 51587, 50955, 50655, 50281, 72333, 50856, 50886, 54928, 50460, 50856, 55630, 50857, 55858, 53970, 51100, 50655, 50279, 51054, 53158, 50886, 52653, 51587, 50959, 50424, 50856, 55147, 53935, 50856, 58107, 50879, 50655, 50281, 51454, 50430, 51587, 53193, 50856, 50864, 53763, 50436, 50856, 55147, 50374, 52073, 53891, 50856, 69527, 50857, 51892, 66417, 51054, 63262, 50374, 52272, 54305, 51383, 58016, 51920, 54897, 50937, 50448, 50856, 51833, 53996, 51383, 53390, 66437, 50879, 71018, 51237, 50454, 51383, 54319, 50856, 51916, 50374, 52638, 63357, 50856, 55147, 58949, 50836, 55858, 53835, 51100, 66165, 50882, 53158, 51750, 50376, 51861, 50833, 66165, 51045, 50424, 50856, 55630, 53881, 50856, 58107, 51060, 50430, 51587, 50812, 71018, 51483, 50432, 50856, 55181, 68522, 50856, 54640, 53980, 67457, 67020, 50810, 66417, 50821, 63262, 53743, 50856, 74635, 53590, 50925, 66417, 51014, 50448, 50856, 51833, 53938, 50856, 58949, 58738, 50893, 50454, 51587, 50855, 50655, 50281, 51653, 50456, 50856, 54220, 72070, 50856, 55147, 50813, 55858, 55234, 51111, 50655, 50279, 51054, 53158, 74702, 53340, 50897, 50424, 50856, 55147, 53383, 50856, 58412, 50805, 50655, 50281, 51054, 50430, 51587, 53911, 50856, 55316, 50942, 50436, 50856, 55630, 73107, 53894, 50856, 50886, 51782, 52638, 50810, 66417, 50896, 63262, 53524, 50856, 55234, 71093, 50873, 50448, 50856, 51539, 52741, 50856, 74409, 50923, 71018, 51603, 50454, 51383, 58774, 50856, 67205, 74870, 55858, 54784, 50873, 66165, 50858, 67790, 52734, 50856, 50904, 53763, 51587, 51008, 66165, 50858, 56357, 70884, 50856, 55147, 50867, 67790, 53272, 50856, 58107, 50974, 55678, 75411, 51587, 50974, 71018, 51175, 56357, 54216, 50856, 54220, 50933, 67790, 63136, 50856, 57526, 51000, 56357, 53415, 62807, 50374, 52638, 50959, 66417, 62505, 50843, 50867, 62362, 50925, 56752, 54897, 50925, 51383, 50955, 66417, 75637, 50856, 51916, 54385, 51383, 54336, 51008, 51068, 50795, 67790, 61192, 51587, 50955, 50655, 50281, 72333, 50856, 50886, 54928, 50460, 50856, 55630, 50857, 55858, 53970, 51100, 50655, 50279, 51054, 67790, 71145, 51542, 53158, 50886, 52653, 51587, 50959, 56357, 70884, 50856, 55147, 50886, 67790, 53935, 50856, 58107, 50879, 50655, 50281, 51454, 55678, 65197, 51587, 50822, 56357, 53627, 50856, 50864, 53763, 67790, 50874, 52350, 62439, 50856, 55147, 50374, 52073, 50857, 56357, 50937, 56797, 69527, 50857, 51892, 66417, 51054, 53408, 50857, 63262, 50374, 52272, 50857, 62362, 54207, 51383, 58016, 51920, 54897, 50937, 53408, 64457, 50856, 51833, 53996, 51383, 53390, 66437, 50879, 71018, 51237, 53408, 66145, 51383, 50862, 52350, 53920, 50856, 51916, 50374, 52638, 50812, 52868, 61630, 50856, 55147, 58949, 50836, 55858, 53835, 51100, 66165, 50882, 67790, 50822, 53158, 51750, 50376, 51861, 50833, 66165, 51045, 56357, 70884, 50856, 55630, 50874, 67790, 53935, 50856, 58107, 51060, 55678, 65197, 51587, 50812, 71018, 51483, 56357, 53627, 50856, 55181, 50844, 67790, 68825, 50856, 54640, 50886, 56357, 53415, 67457, 67020, 50810, 66417, 50821, 63262, 50822, 62362, 50925, 56752, 74635, 53590, 50925, 66417, 51014, 50448, 50856, 51833, 53938, 50856, 58949, 58738, 50893, 67790, 69500, 51587, 50855, 50655, 50281, 51653, 50456, 50856, 54220, 72070, 50856, 55147, 50813, 55858, 55234, 51111, 50655, 50279, 51054, 67790, 50822, 53158, 74702, 53340, 50897, 56357, 70884, 50856, 55147, 50857, 67790, 53935, 50856, 58412, 50805, 50655, 50281, 51054, 55678, 75411, 51587, 50854, 56357, 53513, 50856, 55316, 50942, 67790, 68825, 50856, 55630, 73107, 50862, 56357, 50925, 56797, 50886, 51782, 52638, 50810, 66417, 50896, 63262, 50813, 62362, 54207, 50856, 55234, 71093, 50873, 50448, 50856, 51539, 52741, 50856, 74409, 50923, 71018, 51603, 50454, 51383, 58774, 50856, 67205, 74870, 55858, 54784, 50873, 53158, 50904, 53763, 51587, 51008, 78635, 50835, 50686, 50330, 62782, 50856, 55147, 53803, 50856, 58107, 50974, 50430, 51587, 55544, 50856, 54220, 50933, 78635, 50835, 50686, 50330, 62586, 50856, 57526, 55666, 62807, 50374, 52638, 50959, 63262, 54434, 50856, 54897, 50925, 51383, 50955, 78635, 50835, 50686, 50330, 61762, 50856, 51916, 54385, 51383, 54336, 51008, 51068, 72623, 51587, 59631, 50856, 50886, 54928, 78635, 50835, 50686, 50330, 61780, 50856, 55630, 50857, 55858, 53970, 51100, 53158, 50886, 52653, 51587, 50959, 78635, 50835, 50686, 50330, 61159, 50856, 55147, 53935, 50856, 58107, 50879, 50430, 51587, 53193, 50856, 50864, 53763, 78635, 50835, 50686, 50330, 62586, 50856, 55147, 50374, 52073, 53891, 50856, 69527, 50857, 51892, 63262, 50374, 52272, 54305, 51383, 58016, 51920, 54897, 50937, 78635, 50835, 50686, 50330, 61762, 50856, 51833, 53996, 51383, 53390, 66437, 50879, 50454, 51383, 54319, 50856, 51916, 50374, 52638, 50812, 78635, 50825, 50686, 50330, 60880, 50856, 55147, 58949, 50836, 55858, 53835, 51100, 53158, 51750, 50376, 51861, 50833, 78635, 50825, 50686, 50330, 61159, 50856, 55630, 53881, 50856, 58107, 51060, 50430, 51587, 52749, 50856, 55181, 50844, 78635, 50835, 50686, 50330, 62586, 50856, 54640, 53980, 67457, 67020, 60696, 50843, 53743, 50856, 74635, 53590, 50925, 78635, 50835, 50686, 50330, 61762, 50856, 51833, 53938, 50856, 58949, 58738, 50893, 50454, 51587, 54583, 50856, 54220, 50833, 78635, 50835, 50686, 50330, 60880, 50856, 55147, 50813, 55858, 55234, 51111, 53158, 74702, 53340, 50897, 78635, 50835, 50686, 50330, 61159, 50856, 55147, 53383, 50856, 58412, 50805, 50430, 51587, 53911, 50856, 55316, 50942, 78635, 50835, 50686, 50330, 62439, 50856, 55630, 73107, 53894, 50856, 50886, 51782, 52638, 60696, 50843, 53524, 50856, 55234, 71093, 50873, 78635, 50835, 50686, 50330, 61762, 50856, 51539, 52741, 50856, 74409, 50923, 50454, 51383, 58774, 50856, 50886, 78635, 50835, 50686, 50330, 60880, 74870, 51528, 50873, 66165, 59078, 51008, 51587, 51008, 66165, 62779, 50843, 53803, 51068, 50974, 54369, 51033, 50430, 51587 ]
[ 0, 713, 14899, 5175, 2214, 11, 274, 538, 22750, 1626, 11098, 8, 10563, 6, 1969, 13, 2365, 50, 6548, 38270, 4, 20, 3741, 27374, 594, 8, 2382, 3459, 8669, 483, 5, 33301, 6, 2800, 30, 21072, 6, 20535, 6, 8, 31391, 1672, 9590, 4, 590, 41, 12447, 1001, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 20902, 2877, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 53014, 51237, 57605, 75190, 54607, 51237, 60602, 74388, 53014, 51237, 57605, 75044, 54607, 51653, 60602, 51653, 50799, 53014, 51870, 54607, 52512, 73346, 51870, 50438, 53014, 52512, 54607, 52512, 73346, 52512, 54983, 50918, 52779, 50995, 53328, 50995, 54548, 50995, 53392, 59939, 54607, 59939, 60602, 59939, 51190, 50966, 54589, 50976, 51206, 50824, 68072, 51190, 50966, 57710, 60664, 54589, 60648, 52779, 50905, 53328, 50905, 54548, 50905, 51892, 51272, 50302, 50830, 51190, 50966, 54589, 60815, 52584, 51060, 57491, 52993, 50807, 51190, 50966, 57710, 60664, 54589, 50976, 51453, 50822, 54983, 50918, 52779, 50995, 53328, 50995, 54548, 50995, 51190, 50966, 54589, 50976, 68072, 51190, 50966, 57710, 60664, 54589, 60648, 52779, 50905, 53328, 50905, 54548, 50905, 51892, 51272, 50302, 50830, 51190, 50966, 54589, 60815, 52584, 51060, 57491, 52993, 50807, 51190, 50966, 54589, 57710, 54565, 50824, 51453, 50822, 54983, 50918, 53276, 50995, 53074, 50995, 54548, 50995, 51190, 50966, 54589, 50976, 68072, 51190, 50966, 54589, 57710, 54565, 53566, 53276, 50905, 53074, 50905, 54548, 50905, 51892, 51272, 50302, 50830, 51190, 50966, 54589, 60815, 52584, 51060, 57491, 52993, 50807, 51190, 50966, 57710, 60664, 54589, 50976, 51453, 50822, 54983, 50918, 53276, 50995, 53074, 50995, 54548, 50995, 51190, 50966, 54589, 63853, 51061, 51370, 52921, 51341, 50795, 51190, 50966, 52865, 60664, 54589, 60648, 53276, 50905, 53074, 50905, 54548, 78011, 50795, 51190, 50966, 50823, 51272, 50302, 50830, 51193, 52152, 53835, 50976, 51224, 66587, 60815, 52584, 51060, 51061, 50795, 51320, 53832, 60664, 58317, 52993, 50807, 51341, 51626, 56339, 53820, 51083, 56971, 51858, 53835, 50823, 54983, 50918, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 54589, 50976, 51206, 50824, 51039, 54504, 53392, 51331, 58491, 51805, 57710, 54565, 53566, 52779, 50849, 53328, 50849, 54548, 50849, 56273, 51331, 58491, 50823, 51272, 50302, 50830, 54239, 51331, 58491, 54589, 60815, 52584, 51060, 56273, 51331, 54626, 52993, 50807, 53392, 51331, 58491, 54589, 57710, 54565, 54098, 54607, 52442, 53673, 54983, 50918, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 54589, 50976, 51039, 50907, 51544, 58491, 51805, 57710, 54565, 53566, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 50823, 69031, 51060, 51895, 50966, 54589, 60815, 52584, 51060, 53673, 50450, 52993, 50807, 51895, 50966, 54589, 57710, 54565, 50824, 51453, 50907, 54983, 50918, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 54589, 50976, 51039, 54504, 53392, 51331, 58491, 51805, 57710, 54565, 53566, 52779, 50849, 53328, 50849, 54548, 50849, 56273, 51331, 58491, 50823, 51272, 50302, 50830, 54239, 50824, 51895, 50966, 54589, 60815, 52584, 51060, 53673, 50450, 52993, 50807, 54564, 50893, 53392, 50824, 51895, 50966, 54589, 57710, 54565, 54098, 54239, 50893, 53673, 54983, 50918, 53276, 50849, 53074, 50849, 54548, 50849, 56273, 51661, 53014, 51300, 51895, 50966, 54589, 50976, 51039, 50907, 51544, 58491, 51805, 57710, 54565, 53566, 53276, 50849, 53074, 50849, 54548, 50849, 51895, 50966, 50823, 51272, 50302, 50830, 56273, 51343, 53014, 51029, 51895, 50966, 54589, 60815, 52584, 51060, 53673, 50450, 52993, 50807, 51895, 50966, 54589, 57710, 51352, 50816, 51352, 50456, 54239, 50879, 53392, 50993, 53673, 54983, 50918, 52779, 50849, 53328, 50849, 54548, 50849, 54239, 50859, 51895, 50966, 54589, 50976, 51039, 54504, 53392, 51331, 58491, 51805, 57710, 54565, 53566, 52779, 50849, 53328, 50849, 54548, 50849, 56273, 51331, 58491, 50823, 51272, 50302, 50830, 54239, 51331, 58491, 54589, 60815, 52584, 51060, 56273, 51331, 54626, 52993, 50807, 53392, 51331, 58491, 54589, 57710, 54565, 54098, 54607, 52442, 53673, 54983, 50918, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 54589, 50976, 51039, 50907, 51544, 58491, 51805, 57710, 54565, 53566, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 50823, 51272, 50302, 50830, 51895, 50966, 54589, 60815, 52584, 51060, 53673, 50450, 52993, 50807, 51895, 50966, 54589, 57710, 54565, 50824, 51453, 50907, 68496, 51091, 51561, 51585, 51639, 51226, 51516, 51226, 51948, 51226, 51895, 50966, 54589, 50976, 51039, 54504, 53014, 51331, 58491, 51805, 57710, 54565, 53566, 52585, 50830, 51639, 50821, 51516, 50821, 51948, 50821, 53392, 51331, 58491, 50823, 63370, 50807, 51639, 51160, 51516, 50896, 51948, 51285, 56273, 51331, 58491, 54589, 60815, 53392, 51331, 54626, 51684, 51112, 51198, 50896, 51275, 51160, 51516, 51160, 53014, 51331, 58491, 54589, 57710, 54565, 54098, 53789, 51029, 53673, 54920, 51091, 51280, 51196, 51153, 51285, 51639, 51285, 51516, 51285, 51895, 50966, 54589, 50976, 51039, 54504, 54607, 51331, 58491, 51805, 57710, 54565, 53566, 78049, 53138, 51331, 58491, 50823, 65270, 50967, 51144, 51285, 51435, 51160, 51578, 51160, 51837, 51160, 53014, 50993, 51895, 50966, 51805, 60815, 53138, 51331, 54626, 52584, 52397, 51578, 51160, 51837, 51160, 53328, 51274, 53014, 50993, 51895, 50966, 54589, 57710, 51352, 50816, 51352, 50456, 53138, 51331, 50907, 54983, 50807, 52779, 50849, 53328, 50849, 54548, 50849, 54607, 51331, 58491, 54589, 63853, 54607, 51052, 54504, 54607, 51331, 58491, 51805, 57710, 54565, 53566, 51526, 50830, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 50823, 69031, 51060, 54607, 51331, 58491, 51805, 60815, 52584, 51060, 53673, 50450, 52993, 50807, 51895, 50966, 51805, 57710, 54565, 50824, 51453, 50907, 54983, 50807, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 51805, 51805, 51805, 51805, 62822, 51039, 50907, 51544, 58491, 51805, 57710, 54565, 53566, 51526, 51060, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 50823, 69031, 70828, 51370, 58491, 51805, 60815, 52584, 51060, 51061, 51370, 54626, 52993, 78319, 51370, 58491, 54589, 57710, 54565, 54098, 55298, 56970, 51358, 50852, 50976, 54983, 50918, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 54589, 50976, 51039, 54504, 53392, 51331, 58491, 51805, 57710, 54565, 53566, 52779, 50849, 53328, 50849, 54548, 50849, 56273, 51331, 58491, 50823, 51272, 50302, 50830, 54239, 51331, 58491, 54589, 60815, 52584, 51060, 56273, 51331, 54626, 52993, 50807, 53392, 51331, 58491, 54589, 57710, 54565, 54098, 54607, 52442, 53673, 54983, 50918, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 54589, 50976, 51039, 50907, 51544, 58491, 51805, 57710, 54565, 53566, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 50823, 69031, 51060, 51895, 50966, 51805, 60815, 52584, 51060, 53673, 50450, 52993, 50807, 51895, 50966, 54589, 57710, 51352, 50816, 51352, 51453, 50907, 54983, 50918, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 54589, 50976, 51039, 54504, 53392, 51331, 58491, 51805, 57710, 54565, 53566, 52779, 50849, 53328, 50849, 54548, 50849, 56273, 51331, 58491, 50823, 51272, 50302, 50830, 54239, 50824, 51895, 50966, 54589, 60815, 52584, 51060, 53673, 50450, 52993, 50807, 54564, 50805, 53392, 50824, 51895, 50966, 54589, 57710, 54565, 54098, 54239, 52201, 50907, 54983, 50918, 53276, 50849, 53074, 50849, 54548, 50849, 56273, 51446, 53014, 51300, 51895, 50966, 54589, 50976, 51039, 50907, 51544, 58491, 51805, 57710, 54565, 53566, 53276, 50849, 53074, 50849, 54548, 50849, 51895, 50966, 50823 ]
[ 0, 250, 3152, 2214, 19, 10, 2933, 8, 9066, 5466, 6, 4246, 30587, 8, 81, 9756, 29589, 6, 10, 6755, 12547, 6, 21072, 6, 8, 3459, 9590, 4, 20, 33301, 16, 13363, 28191, 6, 8, 5, 1349, 16, 3820, 19, 1007, 8, 11926, 4, 85, 18, 11, 5, 762, 9, 230, 3694, 6, 34, 10, 231, 73, 398, 86, 6543, 6, 8, 3136, 23, 10, 1769, 20889, 9, 17072, 13410, 228, 2289, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50631, 51612, 52045, 55810, 52045, 51107, 52045, 51182, 52045, 51384, 52045, 51540, 52170, 52045, 59711, 52045, 51488, 52045, 51600, 52045, 51905, 52045, 51540, 51722, 52045, 53755, 52045, 51165, 52045, 51395, 52045, 51394, 52045, 51540, 51902, 52045, 54932, 52045, 51357, 52045, 51266, 52045, 51558, 52045, 51540, 51612, 52045, 55810, 52045, 51107, 52045, 51182, 52045, 51384, 52045, 51540, 52170, 52045, 59711, 52045, 51488, 52045, 51600, 52045, 51905, 52045, 51540, 51722, 52045, 53755, 52045, 51165, 52045, 51395, 52045, 51394, 52045, 51540, 51902, 52045, 54932, 52045, 51357, 52045, 51266, 52045, 51558, 52045, 51540, 53682, 51492, 51386, 51492, 51222, 51492, 51222, 51492, 51143, 51492, 51344, 51492, 52936, 51492, 51498, 51492, 51347, 51492, 51497, 51492, 61006, 51650, 57877, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 57118, 51650, 55000, 56737, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 61006, 67574, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 57118, 51650, 55000, 56737, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 52305, 51492, 51521, 51492, 51511, 51492, 51511, 51492, 51569, 51492, 51849, 51492, 51796, 51492, 52023, 51492, 51856, 51492, 52074, 51492, 61006, 51650, 57877, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 61684, 51650, 55000, 57751, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 61006, 52108, 57877, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 61684, 51650, 55000, 57751, 62735, 61006, 51650, 57247, 50873, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 51885, 52045, 51511, 52045, 51511, 52045, 51548, 52045, 51548, 52045, 51849, 52045, 51228, 52045, 52023, 52045, 51943, 52045, 52074, 52045, 61006, 51650, 57877, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 63687, 51650, 55000, 63743, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 51611, 52045, 51222, 52045, 51348, 52045, 51348, 52045, 51344, 52045, 51843, 52045, 51096, 52045, 51583, 52045, 51497, 52045, 51839, 52045, 61006, 52108, 57877, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 63687, 51650, 55000, 63743, 62735, 61006, 51650, 57877, 50795, 50465, 61878, 64095, 55076, 51650, 57247, 50873, 50477, 56770, 50795, 51540, 53682, 51492, 51386, 51492, 51222, 51492, 51222, 51492, 51143, 51492, 51344, 51492, 52936, 51492, 51498, 51492, 51347, 51492, 51497, 51492, 61006, 51650, 57877, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 56079, 51650, 55000, 57312, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 61006, 52108, 55728, 61878, 51631, 55076, 60858, 54253, 56770, 51646, 61006, 56971, 54789, 61878, 51798, 61532, 50795, 52060, 55000, 61891, 62735, 61006, 60101, 50795, 50465, 61878, 64095, 55076, 60020, 50795, 50477, 56770, 50795, 51540, 53682, 51492, 51386, 51492, 51222, 51492, 51222, 51492, 51143, 51492, 51344, 51492, 52936, 51492, 51498, 51492, 51347, 51492, 51497, 51492, 61006, 50795, 51743, 52045, 52255, 52045, 51711, 52045, 52036, 52045, 55450, 51206, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 57118, 51650, 55000, 56737, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 61006, 50795, 51743, 52045, 52255, 52045, 51711, 52045, 52036, 52045, 50816, 57247, 76882, 61878, 51631, 55076, 54253, 56770, 51646, 51299, 50918, 76180, 61006, 52152, 54789, 61878, 51798, 57118, 51650, 55000, 56737, 62735, 51638, 50918, 51165, 50918, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 52305, 51492, 51521, 51492, 51511, 51492, 51511, 51492, 51569, 51492, 51849, 51492, 51796, 51492, 52316, 50807, 66316, 52023, 51492, 51856, 51492, 52074, 51492, 61006, 50795, 52255, 52045, 52340, 52045, 52137, 52045, 55450, 51206, 55728, 61878, 51631, 51699, 50807, 75840, 55076, 54253, 56770, 51646, 52316, 51036, 51375, 51036, 61006, 52152, 54789, 61878, 51798, 61684, 51650, 55000, 57751, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 61006, 50795, 52255, 52045, 52340, 52045, 52137, 52045, 50816, 57877, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 61684, 51650, 55000, 57751, 62735, 61006, 51650, 57247, 50873, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 51885, 52045, 51511, 52045, 51511, 52045, 51548, 52045, 51548, 52045, 51849, 52045, 51228, 52045, 52023, 52045, 51943, 52045, 52074, 52045, 61006, 50795, 52255, 52045, 52414, 52045, 52036, 52045, 55450, 51206, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 63687, 51650, 55000, 63743, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 51699, 50807, 75840, 55076, 50795, 50477, 56770, 50795, 51540, 51611, 52045, 51222, 52045, 51348, 52045, 51348, 52045, 51344, 52045, 51843, 52045, 51096, 52045, 51299, 51036, 77215, 51583, 52045, 51497, 52045, 51839, 52045, 61006, 50795, 51863, 52045, 52414, 52045, 52036, 52045, 50816, 57877, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 63687, 51650, 55000, 63743, 62735, 51638, 50918, 51165, 50918, 61006, 60858, 50795, 50465, 61878, 64095, 55076, 56971, 50795, 50477, 56770, 50795, 51540, 53682, 51492, 51386, 51492, 51222, 51492, 51222, 51492, 51143, 51492, 51344, 51492, 52936, 51492, 51887, 52045, 51154, 52045, 51498, 51492, 51347, 51492, 51497, 51492, 61006, 50795, 51743, 52045, 52255, 52045, 51711, 52045, 52036, 52045, 55450, 51206, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 56079, 51650, 55000, 57312, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 51650, 50795, 50477, 56770, 50795, 51540, 61006, 50795, 51743, 52045, 52255, 52045, 51711, 52045, 52036, 52045, 50816, 55728, 61878, 51631, 55076, 60858, 54253, 56770, 51646, 61006, 56971, 54789, 61878, 51798, 61532, 50795, 52060, 55000, 61891, 62735, 61006, 60101, 50795, 50465, 61878, 64095, 55076, 60020, 50795, 50477, 56770, 50795, 51540, 53682, 51492, 51386, 51492, 51222, 51492, 51222, 51492, 51143, 51492, 51344, 51492, 52936, 51492, 51498, 51492, 51347, 51492, 51497, 51492, 51743, 52045, 52255, 52045, 51711, 52045, 52036, 52045, 55450, 51206, 51646, 50852, 51798, 55450, 50462, 50801, 56408, 51540, 51743, 52045, 52255, 52045, 51711, 52045, 52036, 52045, 50816, 57247, 54233, 51299, 50918, 51093, 66800, 51798, 55450, 50462, 51638, 50918, 51165, 55755, 56408, 51540, 52305, 51492, 51521, 51492, 51511, 51492, 51511, 51492, 51569, 51492, 51849, 51492, 51796, 51492, 52316, 50807, 66316, 52023, 51492, 51856, 51492, 52074, 51492, 52255, 52045, 52340, 52045, 52137, 52045, 55450, 51206, 51631, 51699, 50807, 51088, 52424, 52316, 51036, 51375, 51036, 50852, 51798, 55450, 50462, 50801, 56408, 51540, 52255, 52045, 52340, 52045, 52137, 52045, 50816, 57877 ]
[ 0, 250, 20902, 3495, 3152, 2214, 14, 22750, 1626, 11098, 8, 1007, 6, 4246, 10, 11739, 9, 13305, 6, 81, 9756, 8669, 6, 21072, 6, 21979, 8669, 6, 8, 26432, 636, 3938, 22052, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 12447, 1001, 20889, 1328, 4, 20, 33215, 16739, 9, 3676, 6, 230, 119, 1176, 406, 6, 8, 211, 35315, 5705, 6, 2351, 10, 33558, 8, 2365, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 57844, 75657, 51447, 51487, 68531, 51339, 51884, 50426, 51430, 53052, 51146, 51174, 62204, 51447, 50968, 51080, 51430, 55103, 51062, 54771, 51487, 50914, 57844, 51447, 50902, 51447, 50420, 51339, 56307, 51430, 66013, 51146, 56480, 50876, 51627, 50968, 51749, 51430, 55200, 51062, 54509, 50951, 50987, 54594, 50907, 50861, 51797, 50973, 52598, 50902, 53096, 51220, 51253, 55902, 54848, 54439, 53161, 50968, 51337, 51062, 54342, 50861, 51123, 57267, 66813, 53161, 50973, 51878, 50902, 51852, 51220, 56350, 50861, 53096, 56222, 53161, 78966, 51062, 65628, 50861, 53529, 50318, 51753, 51220, 51337, 54594, 51123, 50861, 51852, 50973, 52519, 55902, 53096, 50902, 52104, 50327, 51079, 54439, 52858, 50320, 51277, 51062, 55544, 50861, 55108, 64444, 50861, 51852, 50973, 51965, 50902, 74984, 51645, 58365, 51797, 77966, 52675, 50386, 53823, 53886, 50861, 71509, 77406, 50892, 77966, 51421, 78833, 52955, 50861, 56104, 50800, 56310, 51749, 50877, 51627, 50876, 51965, 50968, 51318, 50927, 50914, 52029, 52526, 52096, 50832, 53299, 50832, 50971, 51302, 61397, 57897, 53810, 50927, 55240, 53945, 51026, 63821, 70713, 67889, 51097, 50964, 51159, 55829, 54305, 50832, 53996, 51315, 78721, 60727, 56230, 54054, 52643, 51026, 52063, 50861, 64900, 51447, 50968, 51145, 50964, 55048, 50886, 56310, 67089, 51376, 50927, 50981, 55474, 53299, 51026, 67707, 61176, 53935, 51315, 51524, 65471, 50804, 61676, 54054, 54937, 51026, 71562, 51330, 50927, 53657, 54077, 50973, 51637, 50902, 51477, 50964, 50914, 58775, 53524, 51315, 53535, 50308, 67484, 54105, 51026, 76831, 57791, 56230, 54054, 53211, 51315, 53535, 50308, 51254, 50964, 54101, 50886, 54795, 51277, 51026, 58962, 50861, 52140, 50953, 50943, 59208, 53299, 50832, 53935, 51214, 51328, 50877, 53131, 50316, 50874, 50968, 62788, 61397, 54054, 54216, 50953, 55240, 53980, 51214, 51277, 50877, 53130, 50316, 66386, 51008, 50953, 51391, 55786, 53524, 50861, 52168, 50973, 51524, 50902, 79531, 53996, 51214, 51753, 50804, 56230, 53288, 54194, 50861, 52335, 50973, 51419, 50902, 51679, 50953, 54101, 50886, 54795, 51753, 50953, 50915, 54659, 55105, 50832, 53803, 51214, 51753, 50877, 53130, 50316, 50844, 50968, 53887, 61676, 53288, 53705, 50953, 55240, 54077, 51214, 51753, 50877, 53130, 50316, 63988, 50987, 70747, 56556, 54758, 50861, 52454, 50315, 52048, 50902, 51484, 50964, 70496, 54385, 51214, 51277, 51315, 53131, 50308, 50845, 50927, 56751, 61397, 53288, 52863, 51026, 52063, 50861, 50972, 50964, 66063, 50867, 56310, 51244, 50877, 66743, 51637, 50968, 51477, 50927, 50915, 56556, 53932, 50832, 50864, 51302, 56230, 53291, 53193, 50927, 53739, 52788, 51026, 71562, 68994, 67889, 51097, 50964, 50914, 56556, 53086, 50832, 53996, 51315, 50933, 50916, 56993, 60174, 53288, 54232, 51026, 64675, 63257, 51148, 50968, 51047, 50964, 53739, 50886, 56310, 67089, 51079, 50927, 50981, 56443, 55105, 51026, 64675, 61176, 53272, 51315, 53131, 50308, 62314, 60174, 53288, 53860, 51026, 51961, 50861, 51330, 50927, 55083, 53945, 50973, 51878, 50902, 51535, 50964, 50915, 54659, 54434, 51315, 51210, 50916, 67484, 54385, 51026, 71395, 60727, 56230, 53291, 54481, 51315, 51142, 50916, 51254, 50964, 53739, 50867, 54795, 51172, 51026, 58962, 50861, 52431, 50953, 50943, 54865, 54657, 50832, 53803, 51214, 51481, 64645, 59855, 50968, 53119, 61676, 53716, 53860, 50953, 53742, 54077, 51214, 60242, 67220, 65064, 50866, 50953, 50915, 58775, 53783, 50861, 51080, 50973, 53130, 50318, 64602, 54185, 51214, 51481, 50804, 60174, 53791, 52863, 50861, 52151, 50973, 51134, 50902, 51419, 50953, 55240, 50867, 54795, 51884, 50953, 51134, 59208, 54657, 50832, 53803, 51214, 60242, 67220, 77082, 57978, 60174, 53791, 52658, 50953, 55240, 53891, 51214, 56943, 58363, 77082, 50987, 78021, 56443, 54305, 50861, 51391, 50973, 51534, 50902, 51642, 50964, 59510, 54185, 51214, 51853, 50296, 73665, 51058, 50927, 56751, 60174, 53791, 54199, 51026, 53130, 50311, 51058, 50964, 70496, 50808, 56310, 51749, 50877, 51627, 50876, 51965, 50968, 51318, 50927, 50914, 59208, 53299, 50832, 50971, 51302, 61397, 57897, 53810, 50927, 55240, 53945, 51026, 63821, 70713, 67889, 51097, 50964, 51159, 55829, 54305, 50832, 53996, 51315, 78721, 60727, 56230, 54054, 52643, 51026, 52063, 50861, 64900, 51447, 50968, 51145, 50964, 55048, 50886, 56310, 67089, 51376, 50927, 50981, 55474, 53299, 51026, 67707, 61176, 53935, 51315, 51524, 65471, 50804, 61676, 54054, 54937, 51026, 71562, 51330, 50927, 53657, 54077, 50973, 51637, 50902, 51477, 50964, 50914, 58775, 53524, 51315, 53535, 50308, 67484, 54105, 51026, 76831, 57791, 56230, 54054, 53211, 51315, 53535, 50308, 51254, 50964, 54101, 50886, 54795, 51277, 51026, 58962, 50861, 52140, 50953, 50943, 59208, 53299, 50832, 53935, 51214, 51328, 50877, 53131, 50316, 50874, 50968, 62788, 61397, 54054, 54216, 50953, 55240, 53980, 51214, 51277, 50877, 53130, 50316, 66386, 51008, 50953, 51391, 55786, 53524, 50861, 52168, 50973, 51524, 50902, 79531, 53996, 51214, 51753, 50804, 56230, 53288, 54194, 50861, 52335, 50973, 51419, 50902, 51679, 50953, 54101, 50886, 54795, 51753, 50953, 50915, 54659, 55105, 50832, 53803, 51214, 51753, 50877, 53130, 50316, 50844, 50968, 53887, 61676, 53288, 53705, 50953, 55240, 54077, 51214, 51753, 50877, 53130, 50316, 63988, 50987, 70747, 56556, 54758, 50861, 52454, 50315, 52048, 50902, 51484, 50964, 70496, 54385, 51214, 51277, 51315, 53131, 50308, 50845, 50927, 56751, 61397, 53288, 52863, 51026, 52063, 50861, 50972, 50964, 66063, 50867, 56310, 51244, 50877, 66743, 51637, 50968, 51477, 50927, 50915, 56556, 53932, 50832, 50864, 51302, 56230, 53291, 53193, 50927, 53739, 52788, 51026, 71562, 68994, 67889, 51097, 50964, 50914, 56556, 53086, 50832, 53996, 51315, 50933, 50916, 56993, 60174, 53288, 54232, 51026, 64675, 63257, 51148, 50968, 51047, 50964, 53739, 50886, 56310, 67089, 51079, 50927, 50981, 56443, 55105, 51026, 64675, 61176, 53272, 51315, 53131, 50308, 62314, 60174, 53288, 53860, 51026, 51961, 50861, 51330, 50927, 55083, 53945, 50973, 51878, 50902, 51535, 50964, 50915, 54659, 54434, 51315, 51210, 50916, 67484, 54385, 51026, 71395, 60727, 56230, 53291, 54481, 51315, 51142, 50916, 51254, 50964, 53739, 50867, 54795, 51363, 50953, 50943, 54865, 54657, 50832, 53803, 51214, 51423, 51027, 52858, 50316, 58903, 56751, 61676, 53716, 53860, 50953, 53742, 54077, 51214, 51277, 51027, 53131, 50316, 63988, 50987, 50953, 50915, 58775, 53783, 51026, 52511, 50315, 51277, 50902, 79531, 54185, 51214, 74045, 60174, 53791, 52863, 51026, 52256, 50973, 51381, 50902, 51381, 50953, 55240, 50867, 54795, 51309, 50953, 51003, 59208, 54657, 50832, 53803, 51214, 51277, 51027, 51242, 50876, 77082, 56751, 60174, 53791, 52658, 50953, 54101, 53891, 51214, 51753, 51027, 67220, 77082, 50987, 50953, 51221, 56443, 54305, 51026, 52454, 50315, 51477, 50902, 51484, 50832, 54185, 51214, 50838, 50953, 54806, 60174, 53791, 57168, 51019, 52643, 50927, 66247, 50808, 61628, 51127, 51085, 51562, 54195, 50810, 66004, 51767, 51009, 52356, 51103, 50832, 54878, 51093, 51237, 51266, 76801, 53935, 54195, 53352, 59145, 54216, 54116, 50855, 69019, 51113, 50950, 51093, 53616, 53891, 51799, 50918, 51120, 51047, 54195, 50840, 67361, 51409, 51870, 50832, 50381, 53692, 52919, 50444, 51093, 51054, 51266, 76801, 54185 ]
[ 0, 250, 765, 8, 1372, 3495, 37903, 11, 12608, 3694, 6, 4246, 10, 881, 21263, 9, 5, 33215, 16739, 163, 43531, 6, 2060, 401, 6, 274, 10431, 119, 1176, 406, 6, 2060, 6, 8, 274, 6, 7630, 14805, 41, 20425, 8, 15352, 30054, 16464, 19, 10, 11602, 9, 3722, 5581, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 51197, 51036, 50931, 51620, 51114, 52262, 51001, 52831, 51001, 51757, 51001, 51754, 62942, 57497, 51036, 50931, 51620, 51114, 52262, 51001, 52831, 51001, 51757, 51001, 51754, 62942, 58066, 51036, 50931, 51620, 51114, 52262, 51001, 52831, 51001, 51757, 51001, 51754, 62942, 57497, 50918, 51147, 51620, 51114, 52262, 50931, 51724, 51234, 66584, 50931, 51757, 50931, 51754, 51001, 50800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 32625, 15855, 2125, 19, 3495, 16882, 6, 4246, 41, 21979, 8669, 6, 2342, 4467, 6, 18558, 6, 8, 38668, 2236, 4, 20, 7212, 20889, 8, 204, 73, 306, 86, 6543, 1045, 10, 19448, 5466, 6, 150, 5, 762, 9, 83, 538, 8, 5, 33215, 16739, 9, 83, 6, 274, 10431, 119, 406, 6, 8, 211, 5042, 7, 5, 2214, 18, 5679, 26709, 8, 11653, 6711, 6, 7630, 14805, 6453, 9, 657, 8, 442, 24, 10686, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 75695, 50946, 51014, 51171, 51014, 50430, 50848, 51030, 50431, 50868, 51045, 61909, 50433, 50946, 50811, 51171, 51010, 50436, 51171, 53601, 50946, 53501, 50848, 54430, 50868, 51732, 50850, 51732, 50796, 50796, 50454, 50946, 51014, 51171, 63695, 50848, 79396, 51045, 61909, 50458, 50946, 50811, 51171, 74380, 51171, 53601, 50946, 53501, 50848, 54430, 50868, 51732, 50850, 51732, 50796, 50796, 50796, 50796, 58282, 52570, 67653, 51562, 57189, 51291, 50432, 50868, 51551, 50444, 50946, 79766, 50848, 51945, 50456, 50847, 51496, 52591, 50946, 52688, 50944, 57547, 50946, 72759, 50868, 51362, 50444, 50946, 79766, 78330, 69768, 52570, 50420, 51506, 51309, 62810, 73377, 50848, 55362, 50438, 50946, 51056, 50444, 50850, 72208, 50946, 51419, 50456, 50847, 52195, 52591, 50946, 51709, 50426, 50944, 69400, 50946, 61148, 50868, 51073, 50444, 50946, 57991, 73420, 50458, 50988, 51359, 50459, 51042, 51696, 50460, 79840, 50461, 75093, 74776, 51427, 58082, 57944, 50935, 68141, 50850, 62682, 50847, 51294, 50456, 51688, 56769, 52591, 51217, 52392, 62810, 51422, 50432, 50848, 51685, 66368, 51364, 58282, 53501, 67653, 51562, 57189, 51562, 50432, 50868, 51527, 50444, 50946, 51535, 50450, 50848, 51894, 50456, 50847, 51496, 52591, 50946, 51337, 50426, 50944, 51411, 50432, 50946, 76711, 50868, 65980, 50946, 79766, 50848, 51159, 58282, 52570, 67653, 51183, 57189, 51291, 50432, 50868, 51551, 50444, 50946, 51562, 50450, 50848, 51945, 50456, 50847, 51496, 52591, 50946, 69029, 50944, 57547, 50946, 72652, 50868, 51362, 50444, 50946, 79766, 78330, 69768, 52570, 50420, 51506, 51309, 62810, 51267, 50432, 50848, 55362, 50438, 50946, 51056, 50444, 50850, 72208, 50946, 51318, 50456, 50847, 52195, 52591, 50946, 51645, 50426, 50944, 55112, 50946, 76711, 50868, 51073, 50444, 50946, 79766, 50848, 51157, 57746, 51655, 50847, 51496, 50420, 51042, 51141, 57189, 51692, 50432, 50850, 51685, 50444, 51042, 51115, 50847, 51362, 50456, 51688, 56769, 52591, 51217, 51605, 62810, 51692, 50432, 50848, 52282, 66368, 51343, 58282, 53501, 67653, 51562, 57189, 51562, 50432, 50868, 51527, 50444, 50946, 51535, 50450, 50848, 51486, 50456, 50847, 51496, 52591, 50946, 77399, 50944, 51566, 50432, 50946, 64164, 50868, 51562, 50459, 51171, 54834, 50460, 50946, 56094, 57342, 56094, 50415, 50868, 56094, 50416, 50850, 56082, 50796, 50444, 51596, 50873, 52123, 50938, 52089, 50938, 51584, 58138, 51789, 50849, 52123, 50948, 51555, 50865, 51902, 58603, 52083, 51160, 52123, 51290, 51584, 51496, 51612, 51454, 52591, 52123, 50942, 51612, 50942, 50421, 52083, 53049, 52083, 50938, 52123, 50865, 51584, 50938, 51612, 54725, 52083, 51238, 52123, 51345, 51584, 51345, 51612, 51227, 50443, 52083, 54630, 52123, 50830, 51584, 50917, 51612, 50924, 50449, 52083, 53794, 52123, 50936, 51584, 50978, 51612, 57431, 51565, 51003, 52123, 51055, 51555, 50980, 51902, 51566, 51612, 51048, 53069, 52083, 51364, 50420, 52089, 51364, 51584, 51364, 51612, 51343, 50438, 51555, 50807, 51902, 50896, 50439, 51789, 75355, 51584, 50924, 50451, 51596, 60077, 52089, 51226, 51584, 51016, 51612, 51016, 50457, 52083, 50865, 58282, 52570, 67653, 51562, 57189, 51291, 50432, 50868, 51551, 50444, 50946, 51183, 50450, 50848, 51945, 50456, 50847, 51496, 52591, 50946, 51484, 50426, 50944, 57547, 50946, 79881, 50868, 51362, 50444, 50946, 51295, 51596, 50795, 52123, 50948, 51584, 63233, 78330, 51789, 50805, 52123, 50948, 51555, 50938, 51902, 55037, 52083, 51073, 52123, 50983, 52089, 51343, 51584, 51496, 51612, 51552, 69768, 52570, 50420, 51506, 51309, 52083, 53244, 50946, 51267, 52083, 50952, 50427, 51612, 50865, 51584, 50897, 50428, 52123, 50925, 52089, 52559, 50848, 55362, 52083, 51274, 50433, 52089, 51362, 51612, 51541, 52123, 51204, 51584, 66564, 50946, 51056, 50444, 50850, 72208, 50946, 51318, 51686, 50849, 52123, 50948, 52974, 51021, 52089, 50948, 51584, 51496, 50456, 50847, 52195, 50457, 51565, 51055, 52123, 51048, 52075, 51566, 52089, 51055, 52591, 79733, 52083, 51364, 50421, 52089, 51343, 51612, 51343, 52123, 51343, 51584, 51343, 50426, 50944, 51157, 50432, 50946, 59290, 50868, 51073, 50442, 52083, 51566, 50444, 50946, 51318, 52123, 51362, 52089, 51573, 51584, 51500, 51612, 64466, 59911, 50454, 51789, 54319, 51902, 71529, 51596, 50840, 51584, 50882, 69768, 52570, 52083, 51226, 50415, 54308, 51364, 51612, 51541, 52089, 51343, 51584, 51541, 50420, 51506, 51309, 62810, 51255, 50429, 51789, 58779, 51902, 53917, 50848, 55362, 50434, 51596, 50862, 51584, 53660, 52089, 50840, 54308, 53294, 50946, 51221, 51596, 51090, 51902, 51016, 50439, 54308, 51162, 52089, 51290, 50444, 50850, 72208, 78883, 50451, 52170, 50911, 54308, 50924, 52089, 50948, 50452, 51789, 56974, 50847, 52195, 50458, 52202, 51124, 51902, 51364, 54308, 51343, 52089, 51364, 52591, 50946, 75360, 50944, 51157, 50432, 50946, 68535, 50868, 51073, 50444, 50946, 72269, 59911, 74491, 52500, 50420, 50988, 51623, 52123, 50978, 51555, 51312, 51902, 50959, 51612, 74027, 51565, 50955, 57189, 51518, 52123, 50917, 51902, 50937, 51612, 78435, 51565, 54372, 50847, 51685, 52123, 50980, 51555, 51290, 51902, 50980, 51612, 51500, 50433, 51565, 73087, 50850, 51343, 51565, 50879, 52123, 50940, 51555, 50948, 51902, 50948, 51612, 57322, 52083, 50911, 52123, 50940, 51555, 50940, 51902, 50940, 51612, 57939, 50988, 51101, 52041, 51048, 51584, 51055, 52170, 51345, 50457, 51789, 51112, 62193, 52208, 50420, 51217, 51991, 52041, 51033, 51584, 51014, 52170, 51033, 50421, 51789, 52450, 50946, 70705, 50848, 63418, 50946, 63883, 51017, 51226, 51789, 50977, 53444, 50967, 52041, 51290, 51584, 55260, 51596, 50873, 51902, 62620, 51584, 51364, 51612, 51274, 50457, 52083, 51274, 58282, 51551, 67653, 51127, 57189, 51356, 51596, 50972, 54308, 50917, 52123, 50937, 52089, 50897, 51584, 51291, 50432, 50868, 51551, 54308, 51191, 52123, 51191, 52089, 51241, 51902, 51294, 50433, 51789, 60865, 51171, 64466, 50946, 50911, 52083, 50901, 54308, 50917, 52123, 51413, 52089, 50987, 51612, 51923, 51791, 50824, 54308, 51294, 52089, 51362, 51902, 51294, 50457, 51596, 51363, 64933, 51518, 58082, 51346, 50426, 50868, 65744, 50848, 51235, 50438, 50850, 51527, 66368, 51343, 50450, 50848, 63505, 51042, 50901, 74491, 52500, 50420, 50988, 51623, 51565, 50917, 51555, 51051, 51902, 51058, 51612, 50978, 57189, 51518, 51565, 50830, 51555, 50938, 51902, 50865, 51612, 56632, 50847, 51685, 51565, 51055, 51555, 51500, 51902, 51500, 51612, 51603, 50444, 50850, 51343, 51555, 50948, 51902, 51235, 51612, 51500, 50445, 51565, 55149, 52083, 50865, 51555, 59960, 50988, 51101, 51789, 51073, 52041, 51025, 51584, 51073, 52170, 51345, 62193, 52208, 50420, 51217, 51991, 51789, 50952, 52041, 50910, 51584, 50952, 52170, 57499, 50946, 51162, 51789, 50800, 52041, 50808, 51584, 50921, 52170, 57748, 50848, 51090, 50437, 52083, 54993, 50946, 51148, 52089, 50910, 51612, 62789, 51017, 51274, 51596, 50910, 52089, 50878, 51584, 50925, 51612, 55758, 51596, 50917, 52089, 50952, 51584, 51033, 51612, 58603, 51596, 51109, 52089, 50896, 51584, 51054, 51612, 51090, 58282, 53601, 67653, 51283, 57189, 51446, 50432, 50868, 52195, 50444, 50946, 51477, 50450, 50848, 52069, 50456, 50847, 51552, 52591, 50946, 64570, 50944, 53182, 50946, 72762, 50868, 62682, 50946, 51637, 52123, 50959, 52089, 50952 ]
[ 0, 250, 15352, 30054, 5175, 8, 25771, 2214, 19, 10, 19448, 8, 5679, 26709, 5466, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 21072, 6, 2236, 1021, 2678, 29, 6, 8, 38668, 11212, 4, 8504, 11, 5, 762, 9, 272, 10431, 3694, 19, 10, 231, 73, 398, 86, 6543, 6, 24, 3136, 23, 10, 1769, 20889, 9, 10572, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 2060, 119, 6, 230, 10431, 119, 6, 8, 12608, 4620, 5, 46336, 24456, 9, 42, 3366, 219, 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 ]	[ 51540, 50637, 50791, 50807, 51570, 60773, 50791, 50807, 51540, 50791, 62369, 50998, 55965, 51316, 51204, 50459, 51136, 50914, 50462, 51032, 51157, 50480, 70699, 50483, 51316, 51191, 51474, 50432, 51136, 51241, 50771, 50328, 60282, 51032, 51003, 50447, 51316, 51318, 50998, 51535, 50471, 50998, 51534, 51316, 51534, 50480, 50771, 50328, 51043, 50483, 51136, 51097, 51540, 51032, 50971, 51136, 51252, 51169, 51123, 51549, 51123, 51032, 51097, 51602, 51307, 53654, 51717, 54165, 76274, 57290, 50849, 52356, 50845, 51070, 78556, 51032, 50971, 51136, 51252, 51169, 51123, 51549, 57252, 51032, 50904, 51136, 51252, 51169, 51123, 51549, 50368, 51342, 68751, 51032, 50904, 51136, 51252, 51169, 51123, 51549, 58604, 50986, 51801, 51169, 51801, 50843, 50849, 51070, 54323, 51136, 52011, 51169, 52011, 51032, 51330, 51549, 52011, 51070, 51079, 50451, 51136, 52011, 51169, 52011, 51032, 51330, 51549, 52011, 50462, 51136, 51252, 67671, 51549, 50907, 51169, 51365, 51533, 64250, 57290, 50849, 51070, 51697, 50463, 51136, 51252, 67671, 51549, 50907, 51169, 51365, 50474, 51070, 51074, 51540, 51032, 50904, 51136, 51022, 51169, 50907, 51549, 50851, 54457, 53454, 50798, 57290, 71920, 50873, 51070, 78556, 51032, 50904, 51136, 51022, 51169, 50907, 51549, 53220, 51032, 50971, 51136, 51269, 51169, 51210, 51549, 72431, 68751, 51032, 50971, 51136, 51269, 51169, 51210, 51549, 59983, 51068, 55185, 50849, 51070, 66893, 51136, 52397, 51169, 51333, 51032, 51333, 51549, 50932, 51070, 51074, 50451, 51136, 52397, 51169, 51333, 51032, 51333, 51549, 50932, 50462, 51032, 50971, 51136, 51550, 51169, 51123, 51549, 56661, 50849, 51070, 51166, 50463, 51032, 50971, 51136, 51550, 51169, 51123, 51549, 50851, 50474, 51070, 51432, 51540, 51032, 50971, 51136, 51269, 51169, 51123, 51549, 50827, 51602, 52644, 50798, 57290, 71920, 50873, 51070, 78556, 51032, 50971, 51136, 51269, 51169, 51123, 51549, 52580, 51032, 50971, 51136, 51269, 76992, 51549, 59875, 68751, 51032, 50971, 51136, 51269, 76992, 51549, 57455, 51136, 59306, 51078, 51016, 50843, 50849, 51070, 59914, 51136, 52397, 51169, 52025, 51032, 51108, 51549, 51330, 69744, 50451, 51136, 52397, 51169, 52025, 51032, 51108, 51549, 51330, 50459, 50960, 51346, 50462, 51032, 50971, 51136, 51269, 76992, 51549, 51051, 50970, 60775, 50849, 51070, 51166, 50463, 51032, 50971, 51136, 51269, 76992, 51549, 51051, 50474, 51070, 50905, 50483, 51136, 51204, 51540, 51169, 51297, 51136, 51252, 51032, 51123, 51549, 50907, 51078, 51204, 54457, 51790, 50798, 57290, 57594, 50873, 51070, 78556, 51169, 51297, 51136, 51252, 51032, 51123, 51549, 54504, 51032, 50904, 51136, 51252, 51169, 50907, 51549, 63172, 51737, 50427, 51032, 50904, 51136, 51252, 51169, 50907, 51549, 50874, 50428, 50771, 50330, 51212, 50435, 67395, 51136, 52788, 51068, 57121, 50849, 51070, 67427, 51136, 52618, 50998, 51013, 51169, 51333, 51032, 51333, 51549, 50932, 51169, 51013, 54457, 64250, 68383, 50873, 51070, 51074, 50451, 51136, 52618, 51169, 51333, 51032, 51333, 51549, 50932, 50462, 51032, 50971, 51136, 51022, 51169, 51142, 51549, 67600, 50849, 51070, 51079, 50771, 50328, 51233, 50463, 51032, 50971, 51136, 51022, 51169, 51142, 51549, 51008, 50474, 51136, 50897, 51078, 50917, 51070, 51387, 51540, 51317, 51269, 50998, 51123, 51169, 51123, 51316, 51123, 50998, 51717, 51317, 51717, 51957, 51714, 53278, 51717, 54165, 76274, 57290, 71920, 50873, 51070, 78556, 51317, 51269, 50998, 51123, 51169, 51123, 51316, 51123, 50419, 62424, 67732, 51317, 51269, 76981, 51169, 50907, 51316, 50368, 51342, 53024, 50427, 51317, 51269, 76981, 51169, 50907, 51316, 51123, 57315, 50849, 51070, 67427, 51317, 52618, 51078, 52011, 51169, 51466, 51316, 51333, 51070, 51074, 50451, 51317, 52618, 51078, 52011, 51169, 51466, 51316, 51333, 50462, 51169, 50971, 51317, 51022, 50998, 50907, 51316, 50984, 51602, 51477, 50843, 50849, 51070, 51074, 50463, 51169, 50971, 51317, 51022, 50998, 50907, 51316, 50984, 50474, 51070, 51079, 51540, 51169, 50971, 51316, 50971, 51317, 51269, 50998, 50907, 51957, 53651, 50798, 57290, 71920, 50873, 51070, 78556, 51169, 50971, 51316, 50971, 51317, 51269, 50998, 54504, 51169, 50904, 51317, 51269, 76981, 51316, 59393, 50972, 50427, 51169, 50904, 51317, 51269, 76981, 51316, 54584, 51068, 59689, 50849, 51070, 55437, 51317, 52618, 50998, 51108, 51169, 51108, 51316, 51108, 51070, 51074, 50451, 51317, 52618, 50998, 51108, 51169, 51108, 51316, 73003, 51317, 51022, 74103, 51169, 50851, 51316, 54784, 57290, 50849, 51070, 50905, 50463, 51317, 51022, 74103, 51169, 50851, 67704, 50474, 51070, 50905, 51540, 51316, 50904, 51317, 51022, 74103, 51169, 50851, 51957, 53380, 50798, 57290, 57594, 50873, 51070, 50974, 50415, 51316, 50904, 51317, 51022, 74103, 51169, 53220, 51317, 51269, 74103, 51169, 50851, 51316, 59031, 68751, 51317, 51269, 66485, 51169, 50827, 51316, 53720, 50998, 56656, 51316, 51351, 50843, 50849, 51070, 56989, 51317, 53838, 50998, 50932, 51169, 50932, 51316, 50932, 51070, 71364, 51317, 53838, 50998, 50932, 51169, 50932, 51316, 50932, 50459, 51136, 50995, 50462, 69597, 51317, 51022, 51169, 50827, 66747, 51032, 69168, 50849, 51070, 51432, 50463, 69597, 51317, 51022, 51169, 50827, 66747, 50474, 51070, 50905, 50480, 69164, 50483, 51316, 51241, 51540, 51169, 50864, 51316, 50864, 51317, 51022, 66485, 51957, 66646, 57290, 71920, 50873, 51070, 50974, 50415, 51169, 50864, 51316, 50864, 51317, 51022, 50998, 64999, 50771, 50328, 53770, 51317, 51269, 66485, 51169, 50827, 51316, 64274, 68751, 51317, 51269, 66485, 51169, 50827, 51316, 52739, 51136, 51204, 50435, 51032, 50889, 54360, 51145, 51068, 59312, 50849, 51070, 71106, 51316, 51218, 50998, 51417, 50450, 51317, 52397, 50998, 50932, 51169, 50932, 51316, 56203, 68383, 50873, 51070, 71364, 51317, 52397, 50998, 50932, 51169, 50932, 51316, 50932, 50462, 51317, 51022, 66485, 51169, 50827, 66747, 51640, 51115, 50843, 50849, 51070, 51166, 50463, 51317, 51022, 66485, 51169, 50827, 66747, 50471, 50998, 51203, 51316, 51203, 50474, 51070, 51697, 50480, 50771, 50330, 50925, 50483, 51136, 50995, 51540, 51032, 50904, 51136, 51269, 51169, 50851, 51549, 50851, 51032, 51412, 51602, 51353, 53654, 51717, 54165, 76274, 57290, 50849, 52356, 50974, 51070, 50974, 50415, 51032, 50864, 51136, 51269, 51169, 50827, 51549, 52580, 51032, 50904, 51136, 51252, 51169, 50851, 51549, 59031, 51697, 50427, 51032, 50864, 51136, 51252, 51169, 50827, 51549, 52788, 50986, 51801, 51169, 51801, 50843, 50849, 51070, 59914, 51136, 52397, 51169, 52011, 51032, 51330, 51549, 52011, 51070, 71364, 51136, 52397, 51169, 50932, 51032, 50932, 51549, 50932, 50462, 51136, 51269, 67671, 51549, 50907, 51169, 51365, 51533, 51562, 50843, 50849, 51070, 51432, 50463, 51136, 51269, 67671, 51549, 50827, 51169, 50933, 50474, 51070, 51697, 51540, 51032, 50904, 51136, 51022, 51169, 50907, 51549, 50851, 54457, 53259, 50798, 57290, 71920, 50873, 51070, 50974, 50415, 51032, 50864, 51136, 51022, 51169, 50827, 51549, 52580, 51032, 50971, 51136, 51022, 51169, 51210, 51549, 72431, 51737, 50427, 51032, 50864, 51136, 51022, 51169, 50933, 51549, 56180, 51068, 63778, 50849, 51070, 59914, 51136, 52618, 51169, 51333, 51032, 51333, 51549, 50932, 51070, 71364, 51136, 52618, 51169, 51108, 51032, 51108, 51549, 73003, 51032, 50971, 51136, 51269 ]
[ 0, 250, 251, 6, 2635, 12, 20764, 5175, 2125, 19, 10, 2933, 8, 15352, 30054, 5466, 6, 4246, 10, 13305, 483, 7513, 30, 38668, 18569, 6, 326, 15673, 22778, 6, 21072, 6, 8, 7213, 19258, 6648, 1536, 4, 20, 15229, 16, 11, 83, 3694, 8, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 19, 10, 33215, 16739, 9, 211, 401, 6, 1918, 6, 3676, 6, 211, 401, 6, 8, 1918, 406, 1271, 7, 63, 19448, 8, 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 ]	[ 57128, 51065, 55085, 51065, 54278, 51065, 53961, 51065, 54014, 51065, 55040, 51065, 54356, 51065, 54752, 51065, 50866, 66790, 55085, 51065, 54278, 51065, 53961, 51065, 54014, 51065, 55040, 51065, 54356, 51065, 54752, 51065, 50866, 66790, 55085, 51065, 54278, 51065, 53961, 51065, 54014, 51065, 55040, 51065, 54356, 51065, 54752, 51065, 50866, 66790, 55085, 51065, 54278, 51065, 53961, 51065, 54014, 50816, 53889, 55326, 50866, 50439, 50816, 53889, 62047, 50816, 53889, 53889, 50820, 53525, 50820, 57040, 58780, 50816, 53889, 52616, 50816, 56598, 59957, 50816, 50813, 51899, 54494, 56598, 50866, 54706, 54494, 53211, 50816, 56466, 70986, 50866, 50799, 50764, 50273, 55675, 53840, 70986, 55085, 50764, 50273, 55675, 53840, 70986, 58506, 70618, 51134, 50770, 50313, 51134, 50816, 62390, 58193, 51065, 53961, 51065, 54014, 51065, 60844, 70618, 51047, 74560, 51047, 65985, 53524, 65985, 56598, 54417, 51769, 52800, 50764, 50285, 51109, 50778, 50306, 52784, 62390, 62390, 64738, 55726, 50764, 50273, 51043, 51769, 53211, 51065, 50866, 50799, 50764, 50273, 55675, 53840, 70986, 55085, 50764, 50273, 50866, 70618, 51115, 74560, 67366, 53840, 70986, 58506, 50816, 62390, 58193, 51065, 53961, 51065, 54014, 50778, 50306, 56598, 60844, 65985, 53524, 65985, 56598, 54417, 51769, 52800, 50764, 50285, 67567, 62390, 62390, 64738, 55726, 50764, 50273, 51043, 51769, 53211, 51065, 50866, 50799, 50764, 50273, 55675, 53840, 70986, 55085, 50764, 50273, 55675, 53840, 70986, 58506, 70618, 51134, 50770, 50313, 51134, 50816, 62390, 58193, 51065, 53961, 51065, 54014, 51065, 60844, 70618, 51047, 74560, 51047, 65985, 53524, 65985, 56598, 54417, 51769, 52800, 50764, 50285, 51109, 50778, 50306, 52784, 62390, 62390, 64738, 55726, 50764, 50273, 51043, 51769, 53211, 51065, 50866, 50799, 50764, 50273, 55675, 53840, 70986, 55085, 50764, 50273, 50866, 70618, 51115, 74560, 67366, 53840, 70986, 58506, 50816, 62390, 58193, 51065, 53961, 51065, 54014, 50778, 50306, 54494, 53889, 55326, 50866, 50439, 50816, 53889, 62047, 50816, 53889, 53889, 54704, 65985, 54494, 50820, 57040, 58780, 50816, 53889, 52616, 65985, 54494, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 67567, 62390, 54494, 54494, 56466, 70986, 55726, 50764, 50273, 51043, 50816, 51101, 50816, 51101, 51769, 53211, 50816, 56466, 70986, 50866, 50799, 50764, 50273, 55675, 53840, 56466, 51101, 51769, 70986, 55085, 50764, 50273, 55675, 53840, 50866, 51769, 70986, 58506, 70618, 51134, 50770, 50313, 51134, 50816, 54494, 62390, 51025, 51694, 51101, 51769, 70986, 50866, 55292, 62118, 51769, 70986, 50866, 57177, 52781, 50816, 51101, 51769, 70986, 60844, 70618, 51047, 74560, 51047, 65985, 53524, 65985, 76922, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 51109, 50778, 50306, 52784, 62390, 51101, 50816, 62390, 51025, 51769, 56598, 55726, 50764, 50273, 51043, 51769, 53211, 51769, 70986, 50866, 53206, 50813, 50799, 50764, 50273, 55675, 53840, 70986, 55085, 50764, 50273, 50866, 70618, 51115, 74560, 67366, 53840, 70986, 58506, 50816, 62390, 58193, 51065, 53961, 51065, 54014, 50778, 50306, 54494, 53889, 55326, 50866, 50439, 50816, 53889, 62047, 50816, 53889, 53889, 54704, 65985, 54494, 50820, 57040, 58780, 50816, 53889, 52616, 65985, 54494, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 67567, 62390, 54494, 54494, 56466, 70986, 55726, 50764, 50273, 51043, 50816, 51101, 50816, 51101, 51769, 53211, 50816, 56466, 70986, 50866, 50799, 50764, 50273, 55675, 53840, 56466, 51101, 51769, 70986, 55085, 50764, 50273, 55675, 53840, 50866, 51769, 70986, 58506, 70618, 51134, 50770, 50313, 51134, 50816, 54494, 62390, 51025, 51694, 51101, 51769, 70986, 50866, 55292, 62118, 51769, 70986, 50866, 57177, 52781, 50816, 51101, 51769, 70986, 60844, 70618, 51047, 74560, 51047, 65985, 53524, 65985, 76922, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 51109, 50778, 50306, 52784, 62390, 51101, 50816, 62390, 51025, 51769, 56598, 55726, 50764, 50273, 51043, 51769, 53211, 51769, 70986, 50866, 53206, 50813, 50799, 50764, 50273, 55675, 53840, 70986, 55085, 50764, 50273, 50866, 70618, 51115, 74560, 67366, 53840, 70986, 58506, 50816, 62390, 58193, 51065, 53961, 51065, 54014, 50778, 50306, 54494, 53889, 55326, 50866, 50439, 50816, 53889, 62047, 50816, 53889, 53889, 54704, 65985, 54494, 50820, 57040, 58780, 50816, 53889, 52616, 65985, 54494, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 67567, 62390, 54494, 54494, 56466, 70986, 55726, 50764, 50273, 51043, 50816, 51101, 50816, 51101, 51769, 53211, 50816, 56466, 70986, 50866, 55547, 51422, 50764, 50273, 55675, 53840, 56466, 51101, 51769, 70986, 65314, 51315, 51452, 64401, 51452, 50764, 50273, 55675, 53840, 50866, 51769, 70986, 58506, 70618, 51134, 50770, 50313, 51134, 50816, 54494, 62390, 51025, 51694, 51101, 51769, 70986, 50866, 55292, 62118, 51769, 70986, 50866, 57177, 52781, 50816, 51101, 51769, 70986, 60844, 70618, 51047, 74560, 51047, 65985, 53524, 65985, 76922, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 51109, 50778, 50306, 52784, 62390, 51101, 50816, 62390, 51025, 51769, 56598, 55726, 50764, 50273, 51043, 51769, 53211, 51769, 70986, 50866, 53206, 50813, 54868, 51714, 50764, 50273, 55675, 53840, 70986, 65314, 51027, 51422, 64401, 51422, 50764, 50273, 50866, 70618, 51115, 74560, 67366, 53840, 70986, 58506, 50900, 51452, 50816, 62390, 58193, 51065, 53961, 51065, 54014, 50778, 50306, 54494, 53889, 55326, 50866, 50439, 50816, 53889, 62047, 50816, 53889, 53889, 54704, 65985, 54494, 50820, 57040, 58780, 50816, 53889, 52616, 50916, 51134, 65985, 54494, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 67567, 62390, 54494, 54494, 56466, 70986, 55726, 50764, 50273, 51043, 50816, 51101, 50816, 51101, 51769, 53211, 50816, 56466, 70986, 50866, 55547, 51452, 50764, 50273, 55675, 53840, 56466, 51101, 51769, 70986, 65314, 51315, 51047, 56945, 51397, 50764, 50273, 55675, 53840, 50866, 51769, 70986, 58506, 51086, 51452, 70618, 51134, 50770, 50313, 51134, 50816, 54494, 62390, 51025, 51694, 51101, 51769, 70986, 50866, 55292, 62118, 51769, 70986, 50866, 57177, 52781, 50816, 51101, 51769, 70986, 60844, 70618, 51047, 74560, 51047, 65985, 53524, 65985, 76922, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 51109, 50778, 50306, 52784, 62390, 51101, 50816, 62390, 51025, 51769, 56598, 55726, 50764, 50273, 51043, 51769, 53211, 51769, 70986, 50866, 53206, 50813, 54868, 51115, 50900, 51115, 50764, 50273, 55675, 53840, 70986, 55085, 50764, 50273, 50866, 70618, 51115, 74560, 67366, 53840, 70986, 58506, 50816, 62390, 58193, 51065, 53961, 51065, 54014, 51026, 51115, 51086, 51115, 50778, 50306, 54494, 53889, 55326, 50866, 50439, 50816, 53889, 62047, 50816, 53889, 53889, 54704, 65985, 54494, 50820, 57040, 58780, 50816, 53889, 52616, 65985, 54494, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 67567, 62390, 54494, 54494, 56466, 70986, 55726, 50764, 50273, 51043, 50816, 51101, 50816, 51101, 51769, 53211, 50816, 56466, 70986, 50866, 55547, 51714, 50764, 50273, 55675, 53840, 56466, 51101, 51769, 70986, 65314, 51315, 51422, 56945, 51422, 50764, 50273, 55675, 53840, 50866, 51769, 70986, 58506, 51086, 51452, 70618, 51134, 50770, 50313, 51134, 50816, 54494, 62390, 51025, 51694, 51101, 51769, 70986, 50866, 55292, 62118, 50973, 51115, 51769, 70986, 50866 ]
[ 0, 250, 15352, 30054, 5175, 19834, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 21979, 8669, 6, 3459, 8, 31391, 1672, 9590, 6, 8, 38668, 22052, 4, 20, 2214, 16, 11, 230, 3694, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 10, 7212, 20889, 9, 11061, 741, 1685, 4, 20, 1049, 33215, 16739, 16, 12608, 119, 1176, 406, 6, 230, 119, 406, 6, 274, 119, 406, 6, 163, 428, 406, 6, 8, 230, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 60859, 53569, 50903, 51693, 60859, 50982, 51768, 53569, 50903, 51693, 51955, 50982, 66513, 55776, 51476, 51243, 51249, 51748, 51327, 52727, 50876, 73089, 64004, 51097, 50885, 51481, 51720, 54153, 52120, 55614, 51132, 52069, 58060, 50845, 56457, 50931, 55808, 50959, 61632, 50885, 72900, 51044, 52417, 67384, 50999, 51109, 60942, 54003, 57107, 50885, 52134, 50438, 50946, 52731, 52120, 52878, 50876, 54879, 50933, 68346, 51471, 52612, 52725, 51303, 78504, 56566, 62265, 51139, 52579, 50999, 57847, 63464, 53270, 57735, 51132, 50937, 79480, 51490, 51414, 51145, 52109, 51314, 51081, 63593, 51961, 59775, 51894, 52120, 58278, 55614, 51132, 51183, 51037, 52397, 50420, 51028, 58338, 52034, 50872, 51172, 56457, 51303, 52845, 50321, 50845, 55722, 52417, 51001, 51134, 51062, 51134, 51017, 51142, 54003, 57107, 51037, 56006, 51687, 51097, 51327, 50932, 50885, 53010, 50847, 51309, 52120, 56068, 51132, 51267, 51180, 52802, 52102, 74915, 51312, 51081, 51312, 61523, 50939, 51174, 51037, 51824, 74315, 55722, 55223, 51132, 51267, 50456, 51414, 51079, 54003, 57534, 51037, 51004, 66513, 55776, 51476, 51243, 51249, 51748, 51327, 52727, 50876, 64510, 59324, 51097, 50885, 51481, 51720, 54153, 52120, 55614, 51132, 52069, 58060, 50845, 56457, 50931, 55808, 50959, 61632, 50885, 72900, 51044, 52417, 50876, 51312, 50999, 51312, 60942, 54003, 57107, 50885, 52134, 50438, 50946, 52731, 52120, 52878, 50876, 54879, 50933, 68346, 54003, 52802, 51303, 78504, 56566, 73156, 51044, 52579, 50999, 56566, 63464, 51437, 57534, 51132, 50937, 54983, 51417, 52102, 52136, 51414, 51310, 52109, 51637, 51081, 55808, 51254, 50939, 51470, 51017, 51824, 59775, 51894, 52120, 52981, 51028, 50892, 56457, 51303, 53535, 50321, 57076, 50933, 51037, 51022, 51017, 51142, 50939, 51051, 55722, 52417, 51687, 51477, 51327, 51283, 51001, 51391, 51062, 51391, 54003, 52766, 51132, 61677, 53010, 50847, 51309, 64765, 51180, 52802, 51132, 50943, 52102, 52415, 50317, 51312, 51081, 51312, 51037, 53010, 77735, 55722, 52579, 51476, 52980, 51303, 52140, 51249, 53588, 51327, 55844, 54003, 50829, 52894, 51518, 50876, 64510, 56566, 51242, 65890, 64303, 51720, 51894, 52120, 55614, 50946, 51254, 58060, 50845, 56457, 50931, 56566, 51128, 50872, 62413, 51044, 55477, 50850, 53962, 50999, 51391, 51062, 51391, 54003, 57107, 50885, 51000, 50850, 50971, 50872, 52958, 50885, 63464, 51044, 56068, 50946, 53594, 51476, 52136, 50885, 55503, 51437, 52802, 51132, 50977, 51303, 60700, 56566, 50941, 50850, 51000, 50872, 50367, 51502, 51044, 52579, 51132, 50836, 51249, 77882, 56566, 62625, 51437, 57534, 50946, 50982, 76269, 61323, 51490, 51651, 51145, 51327, 51314, 50876, 75855, 64107, 51254, 50992, 51470, 50885, 51824, 53926, 51191, 52120, 55614, 51602, 73009, 51001, 50892, 56457, 51687, 78181, 61365, 50933, 51396, 51022, 74571, 50992, 51051, 55722, 52417, 50906, 51312, 50951, 51312, 52018, 51241, 54003, 52766, 51410, 51490, 51414, 51145, 51457, 51314, 57230, 50939, 51174, 51037, 51824, 64730, 52120, 56068, 51137, 70268, 50906, 50892, 51471, 50445, 51037, 54044, 51231, 52845, 50319, 56238, 50955, 73190, 61301, 72864, 52053, 50873, 55722, 52579, 50951, 67842, 52514, 50848, 52794, 51133, 50873, 54003, 50829, 52894, 51605, 51476, 52980, 51303, 51445, 51249, 52503, 51327, 51671, 51701, 51218, 50877, 51295, 50885, 51242, 65890, 64303, 51229, 61217, 54153, 52120, 55614, 50946, 51254, 50420, 51451, 50892, 56457, 50885, 51128, 59228, 51256, 50892, 55722, 55477, 50850, 53962, 51229, 51312, 54003, 57107, 50885, 51000, 50850, 50971, 50872, 52958, 50885, 63464, 51044, 56068, 50946, 53594, 61497, 51451, 50892, 54003, 52802, 51476, 50981, 69076, 50850, 51000, 50872, 50928, 51256, 50892, 55722, 52579, 51132, 50955, 50885, 51128, 51229, 50892, 54003, 57534, 50946, 50982, 76269, 52894, 51307, 52102, 52980, 51303, 51445, 51414, 52503, 52109, 51671, 52736, 59292, 68250, 50901, 51720, 51894, 52120, 55614, 50872, 67842, 52518, 74315, 50939, 63922, 52736, 59292, 68250, 50901, 56457, 52736, 58801, 69791, 50845, 55722, 55477, 66058, 50939, 50933, 51037, 51524, 51017, 55286, 52736, 58801, 69791, 50845, 54003, 57107, 51037, 65627, 51017, 54203, 53034, 51056, 50876, 51267, 51001, 51267, 78018, 51037, 51319, 50872, 58059, 51044, 56068, 51017, 53858, 50872, 51277, 50939, 51309, 51037, 52482, 51017, 50972, 56890, 52102, 50981, 52736, 64651, 50845, 51408, 50892, 55722, 52579, 51716, 51127, 68275, 51229, 51312, 54003, 57534, 51017, 51128, 51037, 50982, 52894, 51894, 51476, 52980, 51303, 51445, 51249, 52503, 51327, 51671, 77456, 50885, 51481, 50945, 54153, 52120, 52981, 51451, 50892, 56457, 66058, 61632, 62092, 51256, 50845, 55722, 52417, 60942, 51229, 51312, 54003, 57107, 50885, 52134, 51556, 52896, 50946, 52731, 52120, 52878, 68059, 68346, 51451, 50892, 56890, 51476, 50981, 69865, 51256, 50892, 55722, 52579, 51132, 50866, 51327, 56964, 56566, 51126, 51229, 50892, 54003, 54794, 69386, 52894, 51359, 51303, 55776, 52102, 51243, 51414, 51748, 52109, 52727, 52736, 59292, 69791, 63593, 51242, 50939, 51174, 64303, 51720, 51894, 52120, 55614, 51037, 51254, 50420, 52736, 59292, 66289, 50892, 56457, 52736, 58801, 66289, 67493, 51128, 50872, 62413, 51044, 55477, 50939, 53962, 52547, 51159, 70338, 51028, 51109, 50931, 51109, 54003, 57107, 51017, 51000, 50939, 50971, 50872, 52958, 51017, 63464, 51044, 56068, 51037, 53594, 53051, 51056, 67384, 50931, 51109, 50999, 51109, 68320, 56890, 51303, 51330, 74588, 50939, 51000, 50872, 50367, 51502, 51044, 52579, 53051, 51127, 50999, 51183, 51017, 51128, 51334, 51253, 51893, 51253, 54003, 57534, 51037, 50982, 52894, 51605, 51303, 55776, 51476, 51243, 51249, 51748, 51327, 52727, 69047, 76892, 50945, 54153, 52120, 52981, 51229, 50892, 51471, 50424, 50885, 51824, 50425, 50872, 60316, 75017, 51334, 50892, 55722, 52417, 51893, 51312, 54003, 50829, 63664, 52878, 52287, 55664, 51051, 50946, 51365, 51334, 50845, 54003, 52802, 52932, 50873, 51303, 51330, 53051, 68502, 56566, 51297, 51893, 50845, 55722, 52579, 51132, 50955, 51981, 51127, 52471, 51127, 50951, 51145, 50946, 51123, 62765, 51924, 51312, 54003, 50829, 76269, 52894, 51359, 51231, 55776, 51465, 51243, 51327, 51748, 51818, 52727, 66329, 50868, 51797, 50885, 52482, 51720, 51894, 52120, 52981, 51209, 50845, 56457, 70984, 51334, 50845, 55722, 52417, 51924, 51312, 52004, 51312, 54003, 57107, 50885, 59656, 77544, 52120, 56068, 50868, 60466, 50847, 52059, 51334, 50892, 56890, 51231, 51330, 53051, 68502, 50845, 51893, 50845, 55722, 52579, 52547, 51127, 50931, 51047, 51390, 51109, 54003, 50829, 52894, 51945, 51410, 51490, 51303, 52168, 51414, 52528, 51457, 51671, 51037, 51097, 50848, 51481, 50945, 51894, 52120, 52981, 51256, 50845, 56457, 66058, 63384, 58440, 51408, 50845, 55722, 52417, 60942, 51390, 51109, 54003, 57107, 50848, 52134, 50438, 51037, 52731, 52120, 52878, 51410, 52136, 50939, 50933, 68346, 51408, 50845, 56890, 51303, 50932, 72731, 51390, 50901, 55722, 52579, 58154, 50925, 51414, 51074, 52547, 64213, 55257, 51126, 51893, 50901, 54003, 50829, 55609, 51191, 51476, 51490, 51651, 51145, 51327, 51314, 54229, 51056, 51147, 51312, 51334, 50901, 53926, 51191, 52120, 55614, 51396, 51642, 79067, 50420, 52031, 50845, 56457, 51687, 51333, 54229, 51458, 50324, 51501, 50300, 51824, 50979 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 11, 274, 538, 6, 4246, 13305, 6, 21979, 8669, 6, 32909, 6, 3459, 9590, 6, 8, 1515, 21305, 4, 590, 10, 155, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 5, 2125, 29769, 198, 5, 16331, 33215, 16739, 9, 274, 6, 163, 428, 6, 274, 6, 8, 230, 406, 6, 7630, 14805, 6453, 9, 657, 8, 11098, 14, 74, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 73566, 51018, 51034, 50902, 51283, 50931, 51283, 51146, 51283, 53258, 51283, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 55665, 51028, 58903, 51260, 50329, 50838, 56212, 52718, 50902, 60700, 51517, 50330, 50932, 53258, 50932, 74868, 67907, 50939, 50932, 51034, 50906, 75657, 51080, 51081, 51080, 54113, 51080, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 54498, 50902, 60700, 51517, 50330, 50932, 53258, 50932, 74868, 67907, 50939, 50932, 51034, 51001, 65300, 51517, 50331, 50932, 56929, 50932, 51751, 50932, 51105, 62666, 50951, 77404, 51517, 50331, 50932, 56929, 50932, 76895, 72975, 50939, 54498, 51001, 65300, 51517, 50331, 50932, 56929, 50932, 76895, 72975, 50939, 50932, 51034, 50902, 75575, 51080, 51146, 51080, 53258, 51080, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 54498, 50931, 77404, 51517, 50333, 50932, 56623, 50932, 74868, 67907, 50939, 50932, 51034, 50931, 70453, 51517, 50333, 50932, 56623, 50932, 51164, 50932, 50945, 62666, 51001, 65300, 51517, 50331, 50932, 56929, 50932, 76895, 67907, 50850, 54498, 50876, 66985, 74616, 50932, 52780, 50932, 76895, 67907, 69590, 51034, 50906, 60473, 77404, 50932, 54113, 50932, 52021, 50932, 51037, 50932, 51186, 51080, 60718, 51283, 50931, 51283, 51146, 51283, 53258, 51283, 74868, 67907, 50939, 54498, 74868, 67907, 50939, 56350, 50906, 57777, 64079, 50838, 54113, 50838, 51034, 50877, 58327, 77316, 52142, 50932, 51164, 50932, 50945, 51080, 56546, 51283, 51001, 51283, 51062, 51283, 52780, 51283, 76895, 67907, 50850, 54498, 76895, 67907, 50850, 56350, 50877, 55512, 60472, 50838, 75516, 51034, 50906, 75657, 51080, 51081, 51080, 54113, 51080, 52021, 50932, 51037, 50932, 51186, 54869, 74868, 67907, 50939, 50932, 51271, 53052, 51133, 52718, 74868, 67907, 50939, 50932, 51186, 53624, 51011, 50838, 51034, 50902, 51283, 50931, 51283, 51146, 51283, 53077, 51283, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 55665, 51028, 58903, 51260, 50329, 50838, 55343, 52718, 50902, 60700, 51517, 50330, 50932, 53077, 50932, 74868, 67907, 50939, 50932, 51034, 50906, 75657, 51080, 51081, 51080, 54414, 51080, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 54498, 50902, 60700, 51517, 50330, 50932, 53077, 50932, 74868, 67907, 50939, 50932, 51034, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 51751, 50932, 51105, 62666, 50951, 77404, 51517, 50335, 50932, 53863, 50932, 76895, 72975, 50939, 54498, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 76895, 72975, 50939, 50932, 51034, 50902, 75575, 51080, 51146, 51080, 53077, 51080, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 54498, 74868, 67907, 50939, 50932, 51034, 50902, 51283, 50931, 51283, 51146, 51283, 53077, 51283, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 55665, 51028, 58903, 51260, 50329, 50838, 55343, 52718, 50902, 60700, 51517, 50330, 50932, 53077, 50932, 74868, 67907, 50939, 50932, 51034, 50906, 75657, 51080, 51081, 51080, 53077, 51080, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 54498, 50902, 60700, 51517, 50330, 50932, 53407, 50932, 74868, 67907, 50939, 50932, 51034, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 51751, 50932, 76895, 52053, 54869, 50902, 60700, 51517, 50330, 50932, 53077, 50932, 51171, 50932, 74868, 51271, 54498, 50906, 60473, 77404, 50932, 54414, 50932, 52021, 50932, 51037, 50932, 51186, 50932, 71213, 66743, 75575, 51080, 53250, 51080, 51164, 51080, 50945, 51080, 51034, 50902, 51283, 50931, 51283, 51146, 51283, 53077, 51283, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 55665, 51028, 58903, 51260, 50329, 50838, 55343, 52718, 50902, 60700, 51517, 50330, 50932, 53077, 50932, 74868, 67907, 50939, 50932, 51034, 50906, 75657, 51080, 51081, 51080, 54414, 51080, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 54498, 50902, 60700, 51517, 50330, 50932, 53077, 50932, 74868, 67907, 50939, 50932, 51034, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 51751, 50932, 51105, 62666, 50951, 77404, 51517, 50335, 50932, 53863, 50932, 76895, 72975, 50939, 54498, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 76895, 72975, 50939, 50932, 51034, 50902, 75575, 51080, 51146, 51080, 53077, 51080, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 54498, 50931, 77404, 51517, 50333, 50932, 53407, 50932, 74868, 67907, 50939, 50932, 51034, 50931, 70453, 51517, 50333, 50932, 53407, 50932, 51164, 50932, 50945, 62666, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 76895, 67907, 50850, 54498, 50876, 66985, 74616, 50932, 53250, 50932, 76895, 67907, 69590, 51034, 50906, 60473, 77404, 50932, 54414, 50932, 52021, 50932, 51037, 50932, 51186, 51080, 60718, 51283, 50931, 51283, 51146, 51283, 53077, 51283, 74868, 67907, 50939, 54498, 74868, 67907, 50939, 56350, 50906, 57777, 64079, 50838, 53250, 50838, 51034, 50877, 58327, 77316, 54812, 50932, 51164, 50932, 50945, 51080, 56546, 51283, 51001, 51283, 51062, 51283, 53250, 51283, 76895, 67907, 50850, 54498, 76895, 67907, 50850, 56350, 50877, 55512, 60472, 50838, 54812, 50838, 51034, 50906, 75657, 51080, 51081, 51080, 54414, 51080, 52021, 50932, 51037, 50932, 51186, 51172, 50423, 51011, 52580, 74868, 67907, 50939, 50932, 51186, 53052, 51133, 52718, 74868, 67907, 50939, 50932, 51186, 53624, 50945, 50838, 51034, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 51751, 50932, 51105, 62666, 51001, 51283, 50951, 51283, 51405, 51283, 53777, 51283, 50979, 54498, 50847, 56350, 51001, 57945, 51260, 50331, 50838, 53777, 50838, 51034, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 50939, 50932, 52053, 62666, 50951, 77404, 51517, 50335, 50932, 53863, 50932, 50847, 54498, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 76895, 51034, 50902, 60700, 51517, 50330, 50932, 53077, 50932, 52021, 50932, 51037, 50932, 51186, 62666, 50931, 51283, 51081, 51283, 51339, 51283, 53407, 51283, 50848, 54498, 50872, 56350, 50902, 57643, 77868, 50838, 53077, 50838, 51034, 50902, 75575, 51080, 51146, 51080, 53077, 51080, 50939, 50932, 51096, 62666, 50872, 54498, 74868, 78031, 66985, 74616, 50932, 53250, 50932, 51164, 50932, 50945, 51080, 56546, 51283, 51001, 51283, 51062, 51283, 53250, 51283, 50979, 54498, 50872, 56350, 50876, 60778, 65348, 50838, 53250, 50838, 51034, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 69590, 51720, 51080, 60718, 60700, 51517, 50330, 50932, 53077, 50932, 50872, 54498, 50876, 66985, 74616, 50932, 53250, 50932, 76895, 51034, 50906, 60473, 77404, 50932, 54414, 50932, 52021, 50932, 51037, 50932, 51186, 51080, 60718, 60700, 51517, 50330, 50932, 53077, 50932, 50848, 54498, 50931, 77404, 51517, 50333, 50932, 53407, 50932, 67907, 51034, 50902, 75575, 51080, 51146, 51080, 53077, 51080, 50939, 50932, 51096, 62666, 50872, 54498, 74868, 51034, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 51751, 50932, 51105, 62666, 51001, 51283, 50951, 51283, 51405, 51283, 53777, 51283, 50979, 54498, 50847, 56350, 51001, 57945, 51260, 50331, 50838, 53777, 50838, 51034, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 50939, 50932, 52053, 62666, 50951, 77404, 51517, 50335, 50932, 53863, 50932, 50847 ]
[ 0, 250, 5679, 26709, 8, 19448, 5175, 2214, 19, 1365, 6288, 4785, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 8, 38668, 11212, 4, 8504, 11, 10, 155, 73, 306, 86, 6543, 8, 10, 182, 1769, 20889, 6, 42, 15352, 30054, 2125, 11, 5, 762, 9, 272, 538, 7630, 6568, 10, 4845, 119, 27633, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50639, 51018, 51034, 67375, 54484, 53460, 54484, 53278, 53002, 52507, 53073, 51304, 52644, 50861, 51734, 50292, 53082, 50900, 52821, 50916, 52821, 51660, 54300, 51774, 54300, 51434, 54484, 63132, 51803, 54439, 51359, 62204, 51047, 51034, 50968, 51933, 56546, 51103, 57267, 51159, 51034, 64638, 54089, 56470, 54300, 51558, 51677, 50861, 51312, 51086, 51518, 50916, 51518, 51315, 53413, 51660, 54484, 52745, 54484, 51434, 53090, 74148, 51803, 54439, 52919, 50438, 50973, 51353, 51034, 51182, 51677, 50916, 51692, 51086, 51692, 50968, 51585, 58128, 52015, 51034, 67375, 53002, 53460, 53002, 51266, 51151, 51085, 52121, 50900, 52149, 51026, 52250, 52769, 53002, 51774, 53073, 51660, 53073, 58385, 52015, 54439, 52821, 78031, 61899, 51107, 50915, 55873, 51534, 50438, 51093, 51003, 51434, 54834, 55199, 51534, 51034, 51088, 52644, 51607, 54484, 53807, 51803, 50433, 67384, 50439, 50968, 51918, 50931, 51192, 51034, 50968, 52266, 56546, 74814, 61168, 61928, 51290, 51034, 57179, 51343, 51088, 51717, 51660, 54484, 51774, 54300, 51434, 54484, 52166, 50834, 51544, 50863, 52876, 52788, 57179, 51345, 51960, 52803, 50822, 51034, 57179, 51661, 50804, 52465, 50820, 54148, 53906, 51607, 51336, 51468, 52803, 53614, 57179, 51345, 52043, 51290, 54643, 50863, 52876, 50827, 51034, 64638, 54484, 56470, 54300, 57179, 51285, 51434, 54484, 52043, 51941, 51808, 54300, 52455, 50834, 51544, 50837, 52876, 53269, 56997, 51661, 51970, 55142, 50822, 51034, 52043, 51585, 57653, 50834, 54148, 53906, 56997, 51294, 51468, 55142, 50874, 51570, 50870, 52876, 79174, 57179, 50967, 51034, 56035, 54089, 53460, 53073, 52684, 54484, 51113, 53082, 51440, 54300, 51660, 54484, 51607, 54484, 51897, 55376, 57641, 51661, 51544, 50837, 54033, 50851, 51570, 50870, 52803, 73241, 61168, 51605, 51034, 52043, 51941, 63132, 51422, 50804, 52348, 50820, 54148, 62833, 51836, 51538, 51544, 50863, 52803, 50874, 51658, 51406, 50870, 54033, 50874, 51034, 56643, 54300, 52507, 54089, 51088, 52644, 51434, 52045, 51660, 54484, 51607, 54484, 74148, 51677, 52455, 50834, 53339, 51486, 51544, 50837, 52876, 50827, 51570, 50870, 52803, 50874, 51034, 52043, 51941, 58128, 51677, 69390, 50820, 54148, 50810, 51946, 79216, 61168, 50879, 51842, 52803, 54123, 61168, 51235, 51970, 52876, 50827, 51034, 57697, 54484, 52693, 53002, 52684, 54089, 53517, 51227, 51299, 52821, 51093, 52821, 51440, 54300, 51515, 54484, 51607, 54300, 57716, 52919, 52166, 50834, 51649, 50886, 52196, 76188, 51649, 55105, 51649, 53910, 51649, 54317, 53517, 51013, 51970, 54033, 50827, 51649, 56789, 51649, 53860, 51649, 55643, 51649, 50886, 51570, 50863, 52803, 50822, 51649, 57917, 51649, 54434, 53517, 50910, 51649, 56317, 51649, 50867, 51034, 53517, 63924, 52465, 50820, 52798, 50854, 51649, 62399, 51649, 54202, 51649, 56037, 51649, 50886, 51544, 50837, 52803, 50822, 51649, 56789, 51649, 53998, 51649, 56579, 51649, 54728, 53517, 52218, 51187, 50863, 54033, 50827, 51649, 57917, 51649, 54758, 53517, 50917, 51649, 56518, 51649, 50867, 51034, 56643, 54484, 56470, 54484, 52507, 53073, 55049, 51285, 51251, 52903, 51357, 53259, 51434, 54484, 51614, 54300, 51808, 54300, 52166, 50820, 51439, 58671, 51439, 54819, 51439, 55754, 51439, 50867, 51544, 50837, 52876, 50912, 51439, 55863, 51439, 53998, 51439, 56579, 51439, 53980, 57641, 50807, 51960, 52978, 50822, 51439, 57917, 51439, 54305, 51439, 56518, 51439, 50867, 51034, 69390, 50820, 52837, 50854, 51439, 58671, 51439, 55394, 52978, 50827, 51439, 57559, 51439, 52524, 57641, 51175, 51842, 55142, 50874, 51439, 57860, 51439, 53860, 51439, 55643, 51439, 54728, 51113, 51003, 51960, 52876, 50874, 51257, 66090, 61168, 51215, 50441, 51257, 55368, 51257, 57298, 51257, 50857, 51034, 67375, 53002, 53460, 53073, 53278, 52570, 51301, 52250, 51088, 52250, 51434, 56736, 51660, 53002, 51607, 53002, 51897, 78756, 66277, 57179, 53241, 50417, 51149, 53299, 51149, 56037, 51149, 50864, 51544, 50863, 52803, 50827, 51149, 57860, 51149, 54860, 51149, 56030, 51149, 50904, 51570, 50863, 52876, 50912, 51149, 59356, 51149, 54434, 51149, 56317, 51149, 50867, 51034, 50804, 52465, 50839, 54148, 60214, 64280, 51149, 55772, 52837, 50822, 51149, 55470, 51149, 53803, 51468, 54148, 50822, 51149, 61660, 51149, 54854, 52803, 50851, 51149, 57039, 51149, 50971, 51658, 51467, 50863, 52876, 50827, 51149, 63780, 51149, 55434, 54764, 50827, 51149, 66701, 51149, 51128, 51034, 52166, 50834, 54148, 60214, 59197, 51434, 54454, 51842, 52978, 54123, 51607, 51161, 51960, 52803, 50827, 51034, 52257, 51941, 57653, 50820, 52876, 53906, 55049, 51192, 52043, 51356, 51842, 54764, 52788, 51443, 51073, 55049, 50795, 51669, 51073, 51960, 54708, 67267, 50988, 53082, 50447, 50885, 53082, 50448, 50868, 53082, 50449, 50847, 52821, 77668, 55362, 53048, 51173, 51093, 53082, 51434, 54300, 51660, 54484, 51607, 54089, 52166, 68341, 53651, 50426, 53048, 51294, 51468, 52876, 50827, 51570, 50870, 52803, 79174, 53048, 50849, 51034, 53048, 62719, 52465, 67337, 54148, 52654, 53048, 51290, 51970, 52803, 54123, 50953, 51073, 53048, 50865, 53026, 50870, 52876, 68164, 53048, 51661, 50446, 50988, 53413, 50447, 51042, 53082, 50448, 50868, 53454, 50449, 50847, 53454, 51034, 51205, 56082, 56470, 54089, 51357, 53082, 51660, 54484, 51808, 54089, 51434, 54484, 52166, 67065, 53380, 50426, 51468, 52876, 55100, 53050, 50879, 51570, 50863, 55142, 78953, 53050, 50849, 51034, 57653, 50820, 54148, 62833, 53050, 51291, 51544, 50863, 55142, 54123, 53048, 51157, 51970, 52876, 62182, 50946, 53082, 50447, 50885, 53082, 50448, 50868, 52644, 50449, 50850, 52644, 51034, 51069, 53898, 53460, 52570, 52684, 54484, 51113, 52919, 51660, 54300, 51774, 54300, 51440, 54300, 52166, 68341, 53380, 50415, 53446, 51285, 51544, 50837, 54033, 50827, 51570, 50870, 52803, 73241, 53698, 51894, 51034, 50804, 52348, 74196, 54148, 50854, 51544, 50837, 52803, 54123, 51019, 51073, 51113, 50943, 51093, 51003, 54643, 50863, 54033, 62407, 50988, 53082, 50447, 50885, 53454, 50448, 50868, 53454, 50449, 50847, 52821, 51034, 50953, 51469, 52507, 54484, 51088, 51518, 51357, 51518, 51660, 54300, 51774, 54300, 51434, 54300, 51897, 61442, 53380, 51544, 50837, 52876, 50851, 51570, 50863, 52803, 50874, 51034, 51301, 51692, 51088, 51486, 69390, 50820, 54148, 53906, 51105, 51073, 53698, 50879, 51970, 52803, 54123, 51019, 51290, 53698, 51235, 51970, 52876, 62182, 50946, 53082, 50447, 50885, 52644, 50448, 50872, 52644, 50449, 50850, 52644, 77851, 53898, 52693, 52570, 52684, 54300, 53428, 51285, 51154, 52644, 51113, 53454, 51093, 52821, 51515, 54484, 51774, 54300, 51440, 54484, 51897, 50834, 51649, 50864, 50909, 53259, 50417, 51649, 55105, 51649, 53910, 51649, 50864, 51544, 50837, 54033, 50851, 51649, 56789, 51649, 53860, 51649, 55643, 51649, 54077, 53428, 51141, 51970, 52803, 50822, 51649, 59356, 51649, 54305, 51649, 56317, 51649, 50857, 51034, 50804, 52348, 61209, 52798, 50810, 51649, 62399, 51649, 54202, 51649, 55754, 51649, 53935, 53428, 51221, 51970, 52803, 50822, 51649, 59399, 51649, 53998, 51649, 56579, 51649, 53945, 50964, 51048, 53428, 51056, 53026, 50870, 54033, 50827, 51649, 61173, 51649, 54434, 51649, 60812, 51042, 53082, 50447, 51649, 69942, 53082, 50448, 50872, 52644, 50449, 50847, 53454, 51034, 50953, 55362, 56470, 54089, 52507, 53073 ]
[ 0, 250, 2635, 12, 20764, 3495, 1619, 2214, 11, 274, 3694, 6, 4246, 10, 13305, 483, 7513, 30, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 20, 2125, 7630, 6568, 6453, 9, 657, 8, 26545, 149, 63, 15352, 30054, 1011, 625, 2496, 4, 20, 33215, 16739, 9, 230, 10431, 119, 1176, 406, 6, 12608, 6, 8, 274, 119, 406, 3639, 7, 5, 2214, 18, 32625, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50620, 50796, 76496, 57490, 51114, 50839, 57190, 50959, 70647, 51147, 50933, 50900, 56779, 51147, 52518, 51040, 53536, 50312, 51753, 51176, 53535, 50317, 51242, 50871, 52731, 50432, 51147, 54665, 51147, 52434, 50310, 67307, 51242, 51001, 52415, 50304, 51074, 50441, 51114, 54028, 50931, 50825, 51360, 75632, 63751, 50891, 50965, 78864, 61082, 51176, 63659, 51028, 80129, 50912, 50956, 61257, 51682, 50297, 50907, 51929, 50844, 53369, 50907, 52806, 50984, 52027, 50844, 52361, 71206, 51966, 51452, 50997, 51008, 50871, 51025, 55694, 51452, 51773, 50974, 51515, 50987, 52557, 54887, 67347, 54829, 56922, 52168, 56194, 65278, 50416, 51360, 51680, 50419, 51378, 51806, 66345, 51210, 50425, 50871, 51043, 50428, 50956, 52482, 50431, 50997, 53674, 50434, 51378, 51806, 50437, 50871, 50972, 54258, 50867, 51773, 68211, 50956, 69698, 54632, 50851, 51774, 50955, 52027, 50925, 51929, 58238, 51176, 50933, 51503, 51051, 74575, 50956, 50810, 63156, 51197, 51051, 68641, 50912, 55677, 65241, 51929, 51775, 50459, 51234, 51945, 51040, 71901, 65631, 51591, 51727, 51161, 51774, 51852, 52435, 51363, 51515, 51534, 52027, 51203, 54197, 54171, 50417, 50997, 52916, 61683, 57079, 50965, 51381, 53645, 51252, 50429, 51040, 60816, 51176, 52598, 50435, 51040, 51432, 69332, 52134, 50447, 50931, 50841, 52327, 55647, 51028, 50841, 52361, 54370, 50997, 64238, 60006, 51535, 51966, 51318, 51640, 51103, 51773, 51060, 57497, 51134, 50417, 51378, 51466, 56363, 74525, 50956, 50912, 51929, 52870, 50871, 50978, 51773, 77554, 50997, 51862, 64551, 50857, 52361, 54665, 51234, 51283, 50900, 52081, 50305, 63328, 51101, 51727, 51077, 52327, 51111, 63451, 54228, 50441, 51176, 51391, 66626, 51806, 50447, 50931, 52415, 50312, 50978, 52327, 55079, 51028, 62847, 50891, 52361, 58892, 51640, 51103, 50459, 51966, 51310, 50997, 51212, 50871, 51400, 50906, 51878, 51773, 51215, 57497, 51134, 50417, 51378, 51097, 56363, 52034, 50423, 51040, 50912, 51929, 52639, 66398, 51773, 50897, 50428, 51040, 61957, 50997, 50863, 52361, 56720, 51727, 51077, 50435, 51234, 61567, 50834, 51040, 52415, 50312, 64742, 50937, 52361, 51060, 63451, 79498, 50997, 52514, 50444, 50965, 54847, 66398, 51147, 50810, 70806, 52327, 52396, 51040, 51006, 50453, 50965, 79163, 50825, 52361, 53650, 51176, 54026, 50871, 72893, 61366, 51351, 51966, 51283, 51640, 51103, 51773, 51160, 57497, 51391, 50417, 51378, 50932, 56363, 52518, 50423, 50956, 51254, 51929, 52905, 50906, 52782, 51773, 56865, 50997, 55238, 50956, 50837, 52361, 54002, 51234, 51448, 51040, 51203, 50956, 51267, 50965, 51419, 51727, 51623, 52327, 53585, 51050, 51637, 50441, 50997, 51419, 55513, 51166, 50447, 51040, 56881, 50956, 52920, 50931, 50867, 52327, 52567, 51114, 50870, 53335, 50836, 53997, 61162, 51458, 50324, 65479, 61528, 51376, 54050, 71640, 51338, 61000, 54050, 54579, 51147, 51233, 50965, 51642, 51028, 51423, 51360, 71508, 51481, 51957, 51048, 54050, 71003, 51147, 50870, 54050, 53593, 51147, 50810, 51001, 69179, 51753, 67364, 51338, 51048, 54050, 73824, 50989, 63903, 69666, 78381, 50857, 53335, 60469, 51360, 50835, 51028, 78751, 71357, 50982, 50965, 66876, 51004, 51176, 50870, 51957, 50809, 52327, 79179, 67331, 76599, 78675, 51050, 51550, 51027, 51269, 51132, 51215, 52361, 50991, 62368, 51680, 50871, 51645, 50906, 56615, 51640, 51941, 51773, 51591, 50415, 50997, 54618, 50417, 51360, 51680, 50420, 51378, 52440, 50423, 50997, 55789, 60564, 51965, 50427, 51165, 70316, 78414, 55238, 50956, 51254, 71626, 51737, 57019, 50907, 50440, 50956, 61972, 50997, 65650, 50906, 51297, 50449, 51503, 61567, 50827, 50906, 73658, 50845, 51773, 51798, 51602, 51167, 50452, 51197, 50984, 50455, 52361, 58892, 51234, 51742, 51040, 51412, 51727, 51941, 52361, 51472, 50459, 50956, 51025, 50965, 50981, 51093, 76492, 54197, 53486, 50417, 50997, 52440, 53502, 51166, 50422, 51040, 53220, 50956, 55730, 50900, 55238, 51040, 55799, 51147, 50863, 50965, 56755, 50900, 54492, 50871, 71998, 50917, 51526, 50925, 59849, 50846, 51201, 51697, 50452, 51488, 55778, 50453, 51028, 50841, 51132, 50865, 56416, 56637, 51165, 51330, 50459, 50871, 51400, 50997, 64152, 51807, 50286, 51318, 51640, 51661, 54258, 50807, 57497, 51391, 61240, 51100, 50417, 51378, 52025, 56363, 74525, 50956, 51008, 54050, 50833, 51375, 51269, 50425, 51165, 52482, 60564, 51006, 54258, 50977, 50903, 54013, 50997, 51524, 50431, 51488, 57959, 50956, 50829, 56416, 56565, 66481, 50965, 51665, 50290, 51242, 51040, 50978, 51727, 51226, 51201, 52136, 50435, 59849, 65764, 53219, 51050, 51365, 50798, 51100, 50441, 50997, 52514, 50444, 50965, 56892, 59849, 54255, 51147, 71120, 62221, 59038, 51040, 62290, 63317, 51488, 51166, 50453, 50931, 72471, 50829, 51176, 50904, 68632, 56416, 57461, 54258, 51238, 51165, 51330, 50459, 50871, 60006, 51397, 51966, 51448, 50997, 52063, 51640, 51291, 51528, 50991, 51925, 51077, 50417, 51360, 51542, 50420, 51378, 51481, 50422, 51375, 51210, 50423, 50997, 52048, 54050, 59761, 51165, 51645, 56040, 51212, 54258, 75478, 54694, 51378, 55487, 50906, 50982, 51526, 50820, 56416, 50828, 51488, 59383, 51488, 51108, 50435, 51234, 51101, 62972, 51040, 50874, 60834, 51727, 50807, 56416, 51428, 53442, 51050, 51470, 50798, 51111, 50441, 50997, 57043, 50965, 60966, 51132, 55354, 50931, 68340, 50813, 59362, 59849, 50828, 51201, 56989, 51040, 51254, 50903, 63317, 51526, 50855, 56416, 50818, 51488, 59354, 50871, 66030, 53875, 51176, 61034, 54258, 51112, 51165, 51108, 50459, 50997, 51043, 72302, 50906, 51221, 51966, 51397, 51640, 51448, 51132, 50828, 57497, 53835, 50795, 51925, 51662, 50417, 51378, 51423, 50420, 51360, 75026, 54050, 50828, 51375, 55054, 50965, 57074, 51165, 51328, 56759, 50822, 66768, 54258, 63035, 54056, 51360, 67825, 51844, 50812, 51488, 54150, 51028, 50825, 56416, 56720, 51727, 71941, 54002, 51234, 51203, 50931, 51191, 50965, 50892, 59849, 50983, 51201, 51703, 63451, 57070, 50798, 50991, 50441, 50997, 57940, 50965, 51797, 50447, 51028, 60333, 50931, 61582, 51365, 50903, 53545, 51040, 55835, 50871, 74939, 50841, 59849, 58892, 51600, 57467, 50989, 50835, 51114, 50834, 61371, 55971, 51629, 53486, 53997, 50844, 51147, 63946, 65271, 50937, 51338, 51160, 65358, 57277, 50795, 51925, 51623, 50417, 50900, 53420, 65358, 54446, 51147, 51411, 51360, 50942, 50965, 50933, 51028, 51411, 50931, 52192, 51957, 51112, 65358, 53466, 51176, 58257, 54056, 50871, 52767, 50965, 50864, 65358, 56720, 70644, 51147, 68068, 51085, 50844, 60256, 51338, 51112, 65358, 53351, 53442, 50900, 56630, 51060, 50440, 61371, 50812, 51600, 51074, 50441, 50989, 50891, 50965, 72504, 62780, 63319, 51957, 50887, 51201, 51166, 50447, 51086, 75868, 50912, 50931, 52081, 50293, 50874, 50965, 65301, 50857, 59849, 50808, 51955, 59671, 51488, 52034, 50453, 51028, 71674, 67181, 51665, 50297, 52363, 50301, 51254, 51132, 51235, 56416, 70629, 51165, 52528, 62368, 51790, 50871, 51109, 78766, 50997, 52782, 51640, 51591, 54258, 50865, 51794, 54573, 51925, 51991, 50798, 51158, 50417, 51360, 62557, 51378, 51703, 50423, 50997, 61450, 60564, 51775, 50903, 59974, 50871, 52482, 64551, 51753, 71626, 52048, 56215, 56359, 50906, 51411, 51450, 51060, 50440, 63227, 50443, 50956, 62565, 50997, 69698, 50900, 60637, 52098, 50288, 51008, 50906, 51588, 50295, 51008, 51602, 51158, 54258 ]
[ 0, 250, 15855, 2125, 19, 10, 25306, 619, 6, 42, 2214, 7630, 6568, 41, 3722, 8, 19448, 5466, 4, 20, 2352, 6757, 8, 13305, 45552, 833, 7, 1045, 10, 8728, 33301, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 211, 6, 272, 6, 230, 119, 1176, 406, 6, 8, 272, 3639, 7, 5, 1144, 26016, 13569, 9862, 1328, 5, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50799, 54977, 51112, 54977, 51112, 54602, 51112, 56968, 51112, 50425, 54977, 51112, 54977, 51112, 54602, 68586, 56968, 51112, 50437, 54977, 51112, 55546, 69203, 54602, 51112, 56146, 51112, 50449, 54977, 51112, 57237, 68390, 54602, 51112, 55849, 51112, 50799, 56487, 51112, 57237, 51112, 54602, 51112, 55849, 51112, 50425, 56487, 51112, 55546, 68586, 55010, 50865, 56146, 68178, 57255, 50865, 50437, 54977, 69203, 56487, 51112, 54391, 51112, 56968, 51112, 50449, 56301, 58647, 66205, 50967, 54602, 50967, 54304, 50967, 50799, 66138, 51112, 54977, 51112, 54602, 51112, 54391, 68586, 66138, 51112, 57237, 51112, 54602, 51112, 54391, 51112, 50437, 54304, 69203, 65048, 51112, 55128, 51112, 57255, 68390, 58496, 50967, 54602, 50967, 54391, 50967, 56968, 50967, 50799, 56487, 51091, 54602, 51091, 54391, 51091, 56968, 69467, 56487, 50865, 54602, 50865, 57255, 50865, 54304, 50865, 50437, 56487, 64740, 54602, 51091, 57255, 51091, 54304, 51091, 50799, 54977, 51112, 54602, 51112, 54391, 51112, 56968, 68586, 54977, 51112, 54602, 51112, 54602, 51112, 56968, 69203, 54977, 51112, 55128, 51112, 55010, 51112, 56146, 68390, 54977, 51112, 57237, 51112, 55339, 51112, 55849, 51112, 50799, 56301, 51112, 54977, 51112, 55339, 51112, 55849, 68586, 56301, 51112, 55546, 51112, 55010, 51112, 56146, 69203, 56301, 51112, 57237, 51112, 54602, 51112, 56968, 68390, 56301, 50967, 55128, 50967, 55010, 50967, 54304, 50967, 50799, 56487, 51112, 57237, 51112, 54602, 51112, 54391, 68586, 56487, 51112, 57237, 51112, 54602, 51112, 54391, 69203, 56487, 51112, 55128, 51112, 57255, 51112, 54304, 68390, 56487, 51112, 54602, 51112, 54391, 51112, 56968, 51112, 50799, 56487, 51091, 55128, 51091, 57255, 51091, 54304, 69467, 54977, 50865, 57237, 50865, 54391, 54930, 54977, 51291, 57237, 51291, 54391, 51291, 54391, 51291, 50799, 54977, 51112, 54977, 51112, 54602, 51112, 56968, 51112, 50900, 51112, 50900, 68905, 51112, 50968, 51112, 50425, 54977, 51112, 54977, 51112, 54602, 51112, 50900, 51112, 50900, 68905, 68586, 56968, 51112, 50968, 51112, 50437, 54977, 51112, 55546, 51112, 50900, 51112, 50899, 69203, 54602, 51112, 56146, 68905, 51112, 50931, 51112, 50449, 54977, 51112, 57237, 51112, 50900, 51112, 50916, 68390, 54602, 51112, 55849, 68905, 51112, 50951, 51112, 50799, 56487, 51112, 57237, 51112, 54602, 51112, 55849, 51112, 51026, 51112, 50916, 68905, 51112, 50951, 51112, 50425, 56487, 51112, 55546, 51112, 51026, 51112, 50899, 68586, 55010, 50865, 56146, 77949, 71389, 68178, 57255, 77607, 50865, 50437, 54977, 51112, 50900, 69203, 56487, 51112, 54391, 51112, 56968, 51112, 51026, 74250, 51112, 50968, 51112, 50449, 56301, 50967, 51050, 58647, 66205, 50967, 54602, 50967, 54304, 50967, 51086, 66332, 50967, 65338, 50799, 66138, 51112, 54977, 51112, 54602, 51112, 54391, 51112, 51315, 51112, 50900, 68905, 74250, 68586, 66138, 51112, 57237, 51112, 54602, 51112, 54391, 51112, 51315, 51112, 50916, 68905, 74250, 51112, 50437, 54304, 51112, 50902, 69203, 65048, 51112, 55128, 51112, 57255, 51112, 51120, 51112, 50871, 51112, 50973, 68390, 58496, 50967, 54602, 50967, 54391, 50967, 56968, 50967, 51085, 66332, 78022, 76252, 50799, 56487, 51091, 54602, 51091, 54391, 51091, 56968, 51091, 51026, 51091, 50861, 73494, 51091, 50968, 69467, 56487, 50865, 54602, 50865, 57255, 50865, 54304, 51828, 50299, 62111, 77607, 70459, 50865, 50437, 56487, 51091, 51026, 64740, 54602, 51091, 57255, 51091, 54304, 51091, 50861, 51091, 50973, 51091, 50902, 51091, 50799, 54977, 51112, 54602, 51112, 54391, 51112, 56968, 51112, 50900, 68905, 74250, 51112, 50968, 68586, 54977, 51112, 54602, 51112, 54602, 51112, 56968, 51112, 50900, 68905, 68905, 51112, 50968, 69203, 54977, 51112, 55128, 51112, 55010, 51112, 56146, 51112, 50900, 51112, 50871, 77949, 51112, 50931, 68390, 54977, 51112, 57237, 51112, 55339, 51112, 55849, 51112, 50900, 51112, 50916, 51112, 50906, 51112, 50951, 51112, 50799, 56301, 51112, 54977, 51112, 55339, 51112, 55849, 51112, 51050, 51112, 50900, 51112, 50906, 51112, 50951, 68586, 56301, 51112, 55546, 51112, 55010, 51112, 56146, 51112, 51050, 51112, 50899, 77949, 51112, 50931, 69203, 56301, 51112, 57237, 51112, 54602, 51112, 56968, 51112, 51050, 51112, 50916, 68905, 51112, 50968, 68390, 56301, 50967, 55128, 50967, 55010, 50967, 54304, 50967, 51050, 74583, 70897, 50967, 65338, 50799, 56487, 51112, 57237, 51112, 54602, 51112, 54391, 51112, 51026, 51112, 50916, 68905, 74250, 68586, 56487, 51112, 57237, 51112, 54602, 51112, 54391, 51112, 51026, 51112, 50916, 68905, 74250, 69203, 56487, 51112, 55128, 51112, 57255, 51112, 54304, 51112, 51026, 51112, 50871, 51112, 50973, 51112, 50902, 68390, 56487, 51112, 54602, 51112, 54391, 51112, 56968, 51112, 51026, 68905, 74250, 51112, 50968, 51112, 50799, 56487, 51091, 55128, 51091, 57255, 51091, 54304, 51091, 51026, 51091, 50871, 51091, 50973, 51091, 50902, 69467, 54977, 50865, 57237, 50865, 54391, 74824, 69616, 61816, 54930, 54977, 51291, 57237, 51291, 54391, 51291, 54391, 51291, 50900, 51291, 50916, 51291, 75977, 75977, 50799, 56487, 51112, 54602, 51112, 57255, 51112, 54304, 51112, 51026, 68905, 51112, 50973, 51112, 50902, 68586, 56487, 51112, 66205, 51112, 54602, 51112, 54304, 51112, 51026, 51112, 51086, 68905, 51112, 50902, 69203, 56487, 51112, 54977, 51112, 54602, 51112, 56968, 51112, 51026, 51112, 50900, 68905, 51112, 50968, 68390, 56487, 51112, 57237, 51112, 54391, 51112, 54391, 51112, 51026, 51112, 50916, 74250, 74250, 51112, 50799, 56487, 51112, 55128, 51112, 57255, 51112, 54304, 51112, 51026, 51112, 50871, 51112, 50973, 51112, 50902, 68586, 57237, 50865, 54391, 50865, 56968, 50865, 56487, 51112, 50916, 61816, 51828, 50320, 51828, 50299, 68178, 55546, 50865, 57255, 50865, 56146, 67738, 77607, 71389, 54930, 56487, 51112, 54977, 51112, 54391, 51112, 56968, 51112, 51026, 51112, 50900, 74250, 51112, 50968, 68390, 56487, 50967, 57237, 50967, 54391, 50967, 54391, 50967, 51026, 75569, 78022, 63830, 50799, 57255, 50967, 54304, 50967, 56487, 51112, 55128, 51112, 76699, 65338, 51026, 51112, 50871, 68586, 57237, 50865, 56968, 50865, 57255, 50967, 56487, 51112, 50916, 51828, 50320, 77607, 50967, 51026, 68178, 55546, 50865, 56146, 67738, 71389, 54930, 57255, 50967, 56968, 50967, 57483, 51112, 57237, 51112, 76699, 76252, 51176, 51112, 50916, 68390, 56283, 50967, 54304, 50967, 66138, 51112, 57237, 51112, 50965, 50967, 65338, 51315, 51112, 50916, 51112, 50799, 55010, 50865, 57862, 51112, 57237, 51112, 54391, 77949, 51828, 50301, 51112, 50916, 74250, 76260, 54602, 62111, 54919, 55546, 50865, 65048, 51112, 57719, 51112, 54304, 51112, 50899, 51828, 50294, 51112, 50989, 51112, 50902, 68178, 54977, 74824, 54930, 56487, 51091, 66205, 51091, 54602, 51091, 54602, 51091, 51026, 51091, 51086, 51091, 50861, 51091, 50861, 51091, 50799, 54977, 51112, 54977, 51112, 54602, 51112, 56968, 51112, 50900, 51112, 50900, 68905, 51112, 50968, 51112, 50425, 54977, 51112, 50900, 68586, 54602, 51112, 54602, 51112, 56968, 68905, 68905, 51112, 50968, 69203, 54977, 51112, 55128, 51112, 55010, 51112, 56146, 51112, 50900, 51112, 50871, 77949, 51112, 50931, 68390, 54977, 51112, 57237, 51112, 55339, 51112, 55849, 51112, 50900, 51112, 50916, 51112, 50906, 51112, 50951, 51112, 50799, 56301, 51112, 54977, 51112, 55339, 51112 ]
[ 0, 250, 2635, 12, 20764, 6, 15352, 30054, 3495, 2125, 14, 7630, 6568, 10, 1619, 5466, 6, 4246, 10, 13305, 483, 7513, 30, 10, 6755, 12547, 6, 3459, 9590, 6, 21979, 8669, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 8787, 15229, 16, 17407, 30, 10, 19983, 33215, 16739, 9, 274, 6, 163, 428, 73, 597, 6, 274, 6, 8, 163, 428, 6, 2351, 10, 19448, 8, 5679, 26709, 13569, 9862, 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 ]	[ 57128, 65364, 51151, 51198, 52222, 51144, 51293, 51948, 50892, 51837, 51623, 50417, 52353, 51623, 50420, 51948, 52069, 50423, 55374, 51933, 50444, 51837, 51204, 52709, 51362, 50447, 52353, 70269, 51435, 51116, 50453, 51153, 69960, 51275, 60977, 51435, 50810, 51948, 50808, 65364, 51293, 51561, 51243, 51099, 51742, 51639, 51790, 50417, 51435, 51894, 50420, 51516, 51742, 50423, 51948, 51486, 50441, 51099, 51204, 50444, 51639, 51116, 50447, 51308, 55441, 51516, 51055, 50453, 51639, 69780, 51099, 51177, 50459, 52746, 50810, 51280, 50810, 59649, 51077, 71726, 53038, 51077, 50417, 51308, 51397, 50420, 51198, 51310, 50423, 51144, 71380, 53038, 51148, 51144, 50974, 51153, 51145, 50441, 51275, 79887, 51144, 57060, 51198, 57197, 68365, 51308, 63433, 51099, 59592, 51144, 66458, 51198, 50854, 64955, 51080, 51869, 51183, 51561, 51203, 50417, 51144, 70506, 51706, 51391, 50423, 51561, 51391, 50435, 51706, 52788, 53038, 50932, 51869, 50981, 51706, 51363, 51561, 69151, 51144, 70595, 51561, 60469, 51706, 52848, 53038, 51253, 51869, 51267, 51706, 51221, 51561, 61157, 51144, 66947, 51561, 74238, 51706, 50862, 64955, 51397, 51876, 51148, 51706, 50981, 51198, 51109, 51144, 51056, 55172, 56308, 54717, 62609, 55978, 66898, 50960, 54745, 50970, 64002, 51706, 51267, 51198, 51003, 73322, 50970, 51736, 50960, 53307, 50929, 54930, 51561, 51363, 53038, 51159, 51706, 51203, 51099, 51221, 63017, 62609, 55114, 56308, 50441, 78234, 50447, 51706, 51363, 51561, 51412, 51099, 67081, 53038, 51025, 50929, 55037, 51706, 50987, 51561, 50977, 51099, 50938, 51246, 54421, 50960, 59700, 50986, 50841, 64955, 51151, 51876, 51047, 51144, 51203, 51706, 50857, 51198, 51295, 55172, 64880, 54717, 64880, 50960, 51178, 50420, 51706, 51749, 50423, 51144, 50905, 51275, 51941, 50426, 51308, 71714, 51144, 57421, 51198, 51623, 51308, 51896, 50438, 51876, 51191, 50441, 51706, 50805, 51144, 67636, 51706, 50873, 67334, 51280, 50991, 50453, 51876, 51221, 51706, 52863, 51706, 50974, 51280, 62533, 51198, 50822, 64955, 51413, 51561, 51221, 51099, 51116, 51706, 50857, 63017, 64880, 55114, 58306, 50420, 51706, 54252, 51706, 51203, 51561, 51134, 51099, 51218, 50432, 51706, 65867, 53038, 51127, 51246, 53574, 51706, 50987, 51561, 50977, 51308, 50918, 51064, 64142, 51099, 53969, 51706, 50854, 51561, 50833, 51064, 57782, 51099, 51157, 51706, 50805, 51561, 51238, 50947, 68454, 51706, 51233, 50929, 58603, 51561, 60977, 80062, 78234, 64955, 52071, 51876, 51391, 51706, 50857, 51198, 51115, 51144, 51203, 55172, 64880, 54717, 50363, 50412, 50417, 50970, 55689, 51706, 51448, 50423, 79632, 51275, 52266, 50960, 61521, 50986, 52639, 51308, 75241, 50960, 51312, 50429, 51876, 51417, 51144, 54259, 51198, 50918, 51308, 51896, 50435, 51144, 69151, 51706, 50873, 51144, 53658, 51706, 50845, 51144, 56508, 51876, 51267, 50453, 51706, 54194, 51198, 50977, 51706, 72993, 51144, 50840, 67094, 51538, 51708, 50834, 51280, 51221, 51144, 51115, 54628, 63309, 55074, 63309, 69943, 50417, 57134, 50420, 51708, 58846, 71662, 51280, 50901, 51153, 51356, 51257, 53935, 51708, 51591, 51164, 74957, 51280, 70879, 59780, 51280, 50984, 72595, 51037, 60157, 51280, 50873, 51144, 51235, 51119, 50918, 50885, 52599, 50970, 69120, 50952, 50441, 51280, 50845, 50960, 58433, 63634, 79633, 50970, 51073, 50939, 54803, 51280, 50795, 51144, 51235, 51153, 51362, 50909, 54185, 52537, 50889, 51007, 74505, 51280, 50854, 51708, 51124, 50909, 58774, 51280, 50845, 51144, 50879, 50960, 51033, 50939, 65841, 66491, 51064, 51054, 50850, 50812, 71803, 51486, 51869, 51189, 51198, 50840, 51099, 50991, 51308, 51413, 55172, 63309, 55114, 55275, 55978, 63309, 50847, 68282, 51198, 51412, 50423, 51706, 51199, 51099, 51422, 50929, 69555, 50988, 77554, 51198, 51006, 50946, 59780, 51037, 66859, 51869, 51413, 51706, 50849, 51198, 51255, 51308, 77207, 52788, 50988, 50897, 50441, 51706, 59324, 69877, 51198, 50844, 51037, 77302, 51706, 50901, 51198, 51116, 51308, 51226, 50946, 54823, 53366, 51159, 50988, 51645, 50453, 51706, 52955, 51869, 50901, 51706, 51376, 51198, 50805, 50960, 57264, 67767, 51136, 50887, 62404, 51127, 51708, 51127, 51198, 50855, 51144, 51141, 51119, 51191, 55172, 61124, 54717, 53801, 54628, 61124, 50970, 61060, 50970, 51215, 50420, 51198, 54252, 51198, 51097, 51275, 78797, 50970, 65708, 51119, 66440, 51144, 50924, 50960, 56535, 51198, 50810, 50929, 50924, 51171, 56360, 52746, 51077, 51561, 50849, 51099, 51189, 63017, 66595, 55114, 66595, 55978, 55856, 51751, 52831, 51706, 50901, 50970, 50895, 51164, 69877, 51561, 50810, 50970, 51175, 50988, 57904, 51706, 51095, 51561, 50967, 51308, 51090, 50946, 53068, 50979, 52809, 50970, 67981, 59631, 51706, 51177, 51561, 50845, 51099, 55196, 57651, 50960, 56263, 50828, 58637, 51145, 51869, 51047, 51280, 51412, 51561, 51203, 51099, 51221, 69196, 50417, 51136, 59072, 51008, 50419, 65498, 51298, 54351, 50986, 50943, 50423, 51280, 51203, 51561, 51203, 51099, 51116, 51007, 58382, 50909, 58191, 51280, 50901, 51561, 50901, 51099, 58649, 53219, 51964, 51127, 51869, 51127, 51280, 50901, 51561, 50901, 51099, 51124, 51308, 51116, 76858, 59352, 51280, 50822, 51561, 51123, 50939, 56112, 51280, 51363, 51561, 51203, 51099, 51203, 51308, 51203, 50451, 50939, 80049, 50847, 52955, 51561, 50987, 51099, 50987, 51308, 50987, 51280, 50978, 50457, 56371, 50460, 50979, 50800, 65364, 51077, 53038, 51472, 51876, 50991, 51198, 51291, 51144, 51336, 55172, 53801, 54717, 61124, 50960, 68061, 73552, 50417, 50970, 51073, 50423, 51876, 51362, 50426, 51308, 50879, 51153, 51073, 51435, 51454, 50429, 51275, 66440, 51308, 74387, 53038, 51336, 51706, 50862, 51561, 51255, 51099, 51116, 63017, 53801, 55114, 53801, 50929, 58040, 51706, 50892, 50929, 51173, 50447, 51706, 50805, 51561, 51238, 51099, 58833, 50929, 68454, 51706, 71834, 51561, 50974, 51246, 67667, 67767, 64955, 51336, 51876, 51238, 51706, 50862, 51198, 50889, 73322, 55172, 63309, 54717, 63309, 50960, 61060, 50960, 51238, 50420, 51706, 58861, 51876, 55973, 51706, 50879, 51198, 50896, 51144, 59984, 51706, 57045, 57907, 51876, 50830, 50848, 59983, 53038, 51460, 51706, 50841, 51561, 50806, 51144, 61346, 50921, 50441, 51706, 55200, 51561, 50955, 51144, 50851, 62062, 50447, 53038, 51362, 51706, 50808, 51198, 51160, 51144, 51090, 50885, 51757, 50946, 64870, 51706, 62436, 61703, 51876, 50849, 51706, 50892, 51198, 58057, 73316, 51144, 50800, 79921, 51161, 51706, 50849, 51561, 51116, 51099, 51116, 63017, 63309, 55114, 63309, 51037, 51423, 50420, 51706, 54347, 51706, 50892, 51561, 51003, 51099, 51077, 50988, 52654, 51164, 50910, 50429, 51706, 66317, 59780, 51037, 66859, 51706, 50805, 51561, 50807, 51308, 51336, 51246, 71479, 52781, 51064, 50940, 50979, 51411, 50441, 51706, 55945, 51064, 54787, 51706, 50893, 51561, 51160, 51099, 51090, 50947, 52610, 52746, 51566, 50979, 51221, 50453, 51706, 50800, 50929, 54647, 51561, 50806, 51706, 50838, 50929, 67667, 51099, 50800, 64955, 51291, 51876, 50807, 51706, 50809, 51198, 51235, 51144, 51661, 55172, 64880, 54717, 66898, 50970, 61000, 51706, 54347, 51706, 51079, 51198, 50914, 50960, 60892, 60580, 50939, 57630, 51876, 51077, 50960, 51377, 50429, 51706, 59183, 53974, 51706, 50844, 51280, 50918, 50909, 55098, 53038, 51336, 51706, 50879, 51198, 51054, 51144, 61287, 50872, 54134 ]
[ 0, 250, 15352, 30054, 8, 20425, 5175, 2125, 19, 15855, 16882, 6, 4246, 10, 13305, 816, 11, 10, 7212, 20889, 4, 8504, 11, 5, 762, 9, 230, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 1186, 9, 8597, 31, 11098, 7, 10, 11602, 9, 15073, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 20, 33215, 16739, 9, 272, 8, 211, 406, 3639, 7, 63, 13363, 28191, 2574, 6, 70, 624, 10, 6561, 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 ]	[ 54458, 67004, 77670, 50416, 51146, 62016, 51430, 55772, 51050, 72388, 62447, 51911, 50333, 57648, 51062, 51534, 51050, 52026, 50301, 52026, 50304, 74244, 50931, 53086, 51050, 51965, 51027, 51965, 50900, 51477, 50999, 51115, 61245, 50951, 53004, 51050, 72388, 62447, 65910, 57648, 50902, 51534, 51050, 52026, 50302, 73790, 50981, 61245, 50876, 53004, 51050, 51965, 51027, 51965, 50900, 51318, 50931, 51115, 51057, 51062, 71768, 51146, 62016, 51430, 55772, 51050, 72388, 62447, 51911, 50333, 57648, 51062, 51534, 51050, 52026, 50301, 52026, 50304, 50995, 61245, 50931, 53004, 51050, 51965, 51027, 51965, 50900, 51477, 50999, 51283, 61245, 50951, 53004, 51050, 72388, 62447, 65910, 57648, 50902, 51534, 51050, 52026, 50302, 73790, 50981, 61245, 50876, 53004, 51050, 51965, 51027, 51965, 50900, 51318, 50931, 51283, 52323, 50876, 52056, 60643, 63348, 51330, 63809, 51806, 50900, 51380, 50968, 52056, 75040, 69476, 64196, 52034, 56945, 68996, 69596, 50951, 54504, 51050, 74992, 52188, 74769, 68996, 65867, 50999, 50907, 51057, 50999, 50907, 51027, 69476, 50905, 50418, 50951, 54964, 51027, 68996, 64369, 55752, 51085, 68545, 52188, 50432, 51315, 52104, 50299, 68996, 65867, 71985, 51057, 71985, 51315, 51853, 50299, 69476, 50905, 50418, 50931, 54964, 51315, 52104, 50299, 68996, 67919, 55752, 51050, 64369, 52188, 74769, 68996, 60282, 50931, 50907, 51057, 50931, 50907, 51050, 50974, 50418, 50968, 54964, 50997, 67088, 60379, 55752, 51050, 58722, 56427, 51027, 68996, 67919, 51074, 75040, 69476, 64196, 52034, 56945, 68996, 69596, 50951, 54504, 51050, 74992, 52188, 74769, 68996, 65867, 50999, 50907, 51057, 50999, 50907, 51027, 69476, 50905, 50418, 50951, 54964, 51027, 61528, 57643, 55752, 51085, 62447, 71278, 53164, 50328, 51108, 51057, 50951, 71451, 68186, 64897, 60115, 50999, 56237, 71985, 53645, 51965, 50877, 51318, 50931, 52136, 52076, 56546, 51109, 51062, 51159, 63451, 63348, 51734, 50328, 50807, 75040, 68996, 67919, 51455, 50332, 52864, 51027, 69476, 64196, 51255, 51339, 50991, 57025, 68996, 71714, 65111, 51487, 52559, 51050, 74992, 51377, 51814, 51112, 75040, 68996, 80253, 68829, 51814, 52871, 50999, 50854, 51814, 71244, 69476, 50905, 50424, 65111, 51487, 52450, 51027, 68996, 64369, 51455, 50333, 52605, 51085, 68545, 51377, 51487, 51112, 51057, 51315, 52104, 50299, 68996, 80253, 65111, 51487, 52871, 73762, 51487, 50800, 51315, 51853, 50299, 69476, 50905, 50424, 61196, 51339, 52450, 51315, 52104, 50299, 68996, 67919, 51455, 50332, 52605, 51050, 64369, 51377, 51339, 51112, 75040, 68996, 67943, 61196, 51339, 52871, 70892, 51339, 77036, 50974, 50424, 60300, 51430, 52450, 50997, 67088, 60379, 51455, 50330, 52605, 51050, 58722, 70553, 50795, 75040, 68996, 67919, 51455, 50332, 52864, 51027, 69476, 64196, 51255, 51339, 50991, 57025, 68996, 71714, 65111, 51487, 52559, 51050, 74992, 51377, 51814, 51112, 75040, 68996, 80253, 68829, 51814, 52871, 50999, 50854, 51814, 71244, 69476, 50905, 50424, 65111, 51487, 52450, 51027, 61528, 57643, 51455, 50333, 52605, 51085, 62447, 71278, 52530, 50328, 51237, 72698, 50951, 69214, 68186, 64897, 58326, 50999, 56274, 50951, 53627, 50871, 51965, 50877, 51318, 50931, 51218, 52076, 62204, 52056, 67870, 64369, 63922, 50999, 50907, 51027, 68996, 69596, 51081, 54504, 51062, 51210, 51027, 69476, 50905, 50430, 51081, 54661, 50999, 50907, 51027, 68996, 65867, 50951, 51123, 51057, 50951, 51210, 51085, 50974, 50418, 50999, 51210, 50420, 51081, 51210, 50900, 75675, 69596, 51062, 57252, 51146, 51210, 50900, 67336, 50905, 50430, 51062, 54661, 51081, 50907, 50900, 75675, 65867, 50951, 51123, 51057, 50931, 51210, 51050, 50974, 50418, 50951, 51210, 50420, 50999, 51210, 51027, 68996, 69596, 51081, 57252, 51062, 51210, 51027, 69476, 50905, 50430, 51081, 54661, 50999, 51123, 51027, 68996, 65867, 50931, 50907, 51057, 50951, 51210, 51085, 50974, 50418, 51081, 51210, 50420, 50999, 51210, 51026, 68996, 69596, 50951, 57252, 50931, 51210, 51026, 69476, 50905, 50430, 50968, 54661, 75643, 51026, 68996, 65867, 50876, 51123, 51057, 50931, 51210, 51050, 50974, 50418, 50951, 51210, 50420, 50999, 51210, 51027, 68996, 69596, 51081, 64586, 51062, 51210, 51027, 69476, 50905, 50430, 51081, 54661, 50999, 50907, 51027, 68996, 65867, 50931, 51123, 51057, 50951, 51210, 51085, 50974, 50418, 50999, 51210, 50420, 51081, 51210, 51026, 68996, 69596, 51062, 64586, 51146, 51210, 51026, 69476, 50905, 50430, 51062, 54661, 51081, 50907, 51026, 68996, 65867, 50951, 51123, 51057, 50931, 51210, 51050, 50974, 50418, 50968, 51123, 50951, 55650, 50931, 50907, 50997, 67088, 61544, 50902, 54504, 51050, 58722, 52034, 74769, 68996, 60282, 51146, 50907, 51057, 51062, 51210, 51085, 50974, 50418, 51081, 51210, 50420, 50999, 51210, 50900, 75675, 72397, 61544, 50951, 57252, 50931, 50907, 50916, 60242, 54100, 50876, 51074, 67870, 62377, 52864, 71717, 51027, 63327, 57572, 51081, 53049, 51062, 50925, 51050, 50849, 50430, 51081, 53627, 71717, 51027, 63327, 57807, 70892, 51057, 79386, 51085, 50849, 50418, 50999, 60872, 51081, 50925, 50900, 61432, 59573, 51062, 53906, 51146, 50925, 50900, 59487, 50805, 50430, 51062, 53627, 51081, 72474, 61432, 58926, 73762, 51057, 73955, 51050, 50849, 50418, 50951, 60872, 50999, 50925, 51027, 63327, 57572, 51081, 53906, 51062, 50925, 51050, 50849, 50430, 51081, 53627, 71717, 51027, 63327, 57807, 73762, 51057, 79386, 51085, 50849, 50418, 51081, 60872, 50999, 50925, 51026, 63327, 61432, 59573, 50951, 53906, 73955, 51026, 60259, 59487, 50805, 50430, 50968, 53627, 64062, 51026, 63327, 61432, 58926, 62504, 51057, 73955, 51050, 50849, 50418, 50951, 60872, 50999, 50925, 51027, 63327, 57572, 51081, 53906, 51062, 50925, 51050, 50849, 50430, 51081, 53627, 71717, 51027, 63327, 57807, 70892, 51057, 79386, 51085, 50849, 50418, 50999, 60872, 51081, 50925, 51026, 63327, 61432, 59573, 51062, 53906, 51146, 50925, 51026, 60259, 59487, 50805, 50430, 51062, 53627, 75490, 51026, 63327, 61432, 58926, 73762, 51057, 73955, 51050, 50849, 50418, 76171, 50951, 54878, 66771, 50997, 59537, 57572, 50902, 53049, 51050, 58681, 65903, 51027, 63327, 57807, 51146, 50833, 52323, 51062, 51178, 51085, 50914, 50422, 51081, 63559, 50999, 51121, 50900, 72155, 51109, 50906, 51157, 50432, 50951, 60592, 50931, 57911, 68721, 51157, 52323, 50637, 50951, 50937, 50418, 50999, 65944, 51220, 53906, 51085, 51734, 50299, 65065, 66950, 51734, 50328, 50889, 68176, 74682, 62530, 65544, 71116, 52483, 51085, 60581, 61552, 70553, 50805, 51057, 51062, 55099, 50951, 54588, 50968, 53049, 51085, 67891, 51432, 56014, 52858, 50308, 67707, 64900, 51387, 51057, 64041, 50900, 52858, 50308, 67707, 51079, 80121, 54964, 77936, 50900, 52858, 50308, 67707, 75741, 50931, 57252, 51085, 72895, 51079, 56014, 52858, 50308, 67707, 74337, 51074, 63188, 52858, 50308, 67707, 72895, 51074, 53502, 52858, 50308, 67707, 72713, 55752, 51085, 52104, 50325, 51079, 56014, 52858, 50309, 77882, 51074, 63188, 52858, 50309, 73276, 51074, 53502, 52858, 50308, 72895, 55752, 51085, 52104, 50325, 52188, 56014, 52858, 50309, 79670, 75256, 71985, 51057, 50999, 51210, 50900, 52858, 50309, 79670, 51079, 50418, 51220, 54964, 51062, 50907, 50900, 52858, 50309, 79670, 75741, 51146, 57252, 51085, 51519, 50332, 51274, 56014, 61432, 57348, 50849, 63188, 59487, 57864, 52864 ]
[ 0, 713, 15352, 30054, 5175, 3495, 2214, 6, 278, 11, 10, 155, 73, 306, 86, 6543, 8, 163, 538, 762, 6, 1575, 3459, 8, 21979, 29589, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 590, 10, 1769, 20889, 9, 16157, 13410, 228, 2289, 6, 24, 7630, 6568, 10, 1372, 8, 20425, 6711, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 20, 33215, 16739, 9, 163, 6, 381, 401, 6, 8, 274, 10431, 4620, 5, 46336, 24456, 9, 42, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 75571, 50920, 55085, 50920, 65933, 50920, 53961, 50920, 71552, 50920, 55040, 50920, 51470, 51034, 50920, 55085, 50920, 65933, 50920, 53961, 50920, 71552, 50920, 55040, 50920, 51470, 51034, 50920, 55085, 50920, 65933, 50920, 53961, 50920, 71552, 50920, 55040, 50920, 51470, 51034, 50920, 55085, 50920, 65933, 50920, 53961, 50920, 71552, 50920, 55040, 50920, 51470, 51034, 51726, 65056, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 51726, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 51726, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 52899, 75243, 50866, 51957, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 52331, 70572, 62297, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 75243, 50866, 51857, 64691, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 53180, 70572, 62297, 55085, 51545, 75243, 65933, 51513, 75243, 53961, 51659, 75243, 51470, 51857, 53264, 51513, 75243, 50866, 51957, 53999, 51545, 75243, 51470, 51533, 50845, 51034, 51726, 65056, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 51726, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 51726, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 52899, 75243, 50866, 51957, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 52331, 70572, 62297, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 75243, 50866, 51857, 64691, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 53180, 70572, 62297, 55085, 51545, 75243, 65933, 51513, 75243, 53961, 51659, 75243, 51470, 51857, 53264, 51513, 75243, 50866, 51957, 53999, 51545, 75243, 51470, 51533, 50845, 51034, 51726, 65056, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 51726, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 51726, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 52899 ]
[ 0, 713, 5175, 2214, 6, 19, 10, 11602, 9, 14123, 3495, 6, 16, 10, 15352, 30054, 8, 19448, 2125, 14, 115, 28, 3520, 11, 10, 822, 50, 6717, 4, 85, 18, 278, 11, 10, 7212, 204, 73, 306, 20889, 8, 702, 11, 5, 762, 9, 211, 3694, 4, 20, 15229, 1575, 41, 21979, 8669, 6, 32909, 6, 31391, 1672, 9590, 6, 17605, 9590, 6, 8, 2342, 4467, 6, 2351, 10, 3366, 219, 5466, 4, 20, 33215, 16739, 9, 83, 406, 6, 211, 119, 6, 163, 119, 401, 6, 83, 406, 6, 8, 211, 119, 3639, 7, 5, 2214, 18, 32625, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 50456, 56514, 50894, 54594, 64237, 64134, 51604, 50287, 67899, 54397, 70560, 55927, 50861, 62774, 62378, 55171, 53829, 62678, 51081, 52668, 55893, 51214, 50809, 51026, 61368, 61752, 59086, 66340, 50859, 51062, 52668, 50384, 54176, 55229, 51799, 51167, 51120, 50967, 51081, 51059, 51146, 51541, 50832, 71460, 54660, 50861, 62378, 61666, 53742, 50855, 56096, 62225, 50832, 55048, 52359, 50861, 64237, 64134, 55171, 67980, 50832, 73312, 50832, 55607, 50949, 52224, 50387, 53967, 53442, 50861, 60334, 59086, 76548, 52545, 50299, 60662, 70560, 55201, 51062, 50882, 50999, 66224, 53806, 50861, 65633, 64026, 50811, 59139, 51081, 52668, 55888, 51214, 52386, 50299, 54191, 50321, 50894, 50999, 52668, 50383, 54176, 55245, 50861, 65633, 59086, 61665, 50859, 69084, 51799, 51427, 51120, 51238, 50832, 50383, 53967, 55079, 50861, 78176, 64134, 50827, 71094, 50931, 54413, 50387, 53967, 50846, 56584, 60233, 50832, 52270, 53685, 50876, 52640, 50319, 52668, 70000, 50832, 64963, 50832, 52683, 57841, 50861, 66548, 67904, 60334, 50821, 50902, 52668, 50387, 53967, 50846, 55524, 50908, 50861, 59903, 76277, 51609, 50289, 52370, 50301, 63681, 51427, 50832, 70560, 55927, 51028, 74825, 50907, 50861, 54090, 53829, 50832, 55893, 51279, 51804, 50301, 68877, 61549, 66030, 70356, 52195, 50832, 50384, 54176, 55229, 51841, 51460, 51315, 51235, 50832, 71460, 54660, 50916, 60097, 68218, 53742, 50855, 56096, 62225, 50832, 55048, 52359, 50861, 74825, 50912, 51028, 56706, 67980, 50832, 73312, 50832, 55607, 50949, 52224, 50387, 53967, 53442, 50916, 61549, 66030, 51537, 50289, 51286, 51027, 51158, 50832, 70560, 50846, 52260, 53806, 64385, 57660, 51028, 54090, 55888, 51279, 50858, 51027, 53791, 50383, 54176, 55245, 50916, 60097, 68218, 51954, 50284, 51160, 51315, 78974, 50383, 53967, 55079, 50861, 68666, 78178, 58071, 50387, 53967, 50846, 56584, 60233, 50832, 52270, 53685, 50951, 66036, 70000, 50832, 64963, 50832, 52683, 57841, 50861, 50835, 51028, 65534, 72504, 51160, 50832, 50387, 53967, 50846, 54206, 73663, 62055, 62869, 51609, 50282, 51286, 51120, 51158, 50832, 70560, 55927, 50989, 64743, 67954, 50912, 50877, 56786, 53829, 51405, 51661, 50832, 55893, 50989, 64743, 51764, 50282, 72800, 63891, 50874, 50877, 53255, 50384, 54176, 55229, 51279, 51160, 51027, 78974, 71460, 54660, 50876, 76875, 59903, 68469, 55171, 50855, 56096, 62225, 50832, 55048, 52359, 50899, 70202, 71328, 50851, 50877, 55171, 67980, 50832, 73312, 50832, 55607, 50949, 52224, 50387, 53967, 53442, 50899, 73663, 62821, 62141, 51609, 50282, 51158, 51120, 79195, 70560, 50846, 52260, 53806, 50989, 62869, 68469, 50827, 50877, 53255, 55888, 51799, 51731, 50294, 54101, 50383, 54176, 55245, 50876, 70883, 67572, 62821, 51537, 50289, 51460, 51027, 51235, 50832, 50383, 53967, 55079, 50989, 64743, 67954, 50851, 61825, 51146, 52668, 50387, 53967, 50846, 56584, 60233, 50832, 52270, 53685, 51062, 53696, 70000, 50832, 64963, 50832, 52683, 57841, 50877, 50870, 50899, 67572, 62869, 51764, 50328, 51055, 50832, 50387, 53967, 50846, 54206, 52666, 50311, 61752, 78490, 51158, 51026, 51100, 77550, 50832, 70560, 55927, 50861, 65789, 50907, 50906, 55171, 53829, 50832, 55893, 51214, 51689, 50299, 69662, 61549, 60334, 50844, 51081, 51286, 50832, 50384, 54176, 55229, 50906, 51427, 51799, 51603, 51120, 51227, 50832, 71460, 54660, 50861, 60334, 68218, 69858, 59694, 50855, 56096, 62225, 50832, 55048, 52359, 59663, 70181, 50902, 66034, 67980, 50832, 73312, 50832, 55607, 50949, 52224, 50387, 53967, 53442, 64410, 60569, 67331, 51279, 51158, 51027, 51100, 50906, 51427, 51081, 51427, 50832, 70560, 50846, 52260, 53806, 50861, 64607, 50874, 51028, 53255, 55888, 51279, 78493, 67884, 65274, 51286, 50832, 50383, 54176, 55245, 50899, 51962, 50310, 61976, 62245, 52415, 50282, 51167, 51120, 61175, 50383, 53967, 50949, 52145, 50949, 56584, 60233, 50832, 52270, 53685, 50832, 70000, 50832, 64963, 50832, 52683, 57841, 51081, 55466, 70560, 50949, 54594, 65633, 61666, 76548, 67899, 54397, 70560, 55927, 50861, 64237, 74197, 50851, 51081, 52827, 50832, 53829, 50832, 55893, 51214, 51731, 50299, 60924, 65633, 59086, 53739, 50384, 54176, 55229, 51799, 50980, 51120, 51112, 50832, 71460, 54660, 50861, 65633, 58089, 55083, 50855, 56096, 62225, 50832, 55048, 52359, 50861, 53529, 50314, 74197, 56786, 67980, 50832, 73312, 50832, 55607, 50949, 52224, 50387, 53967, 53442, 50861, 61752, 59086, 76548, 51286, 51026, 51158, 50832, 70560, 50846, 52260, 53806, 50861, 62378, 59086, 53255, 55888, 51214, 51879, 50299, 56330, 50383, 54176, 55245, 50861, 62823, 59086, 51537, 50282, 51238, 51120, 51124, 50832, 50383, 53967, 55079, 50861, 53529, 50314, 74197, 50851, 51081, 76801, 50387, 53967, 50846, 56584, 60233, 50832, 52270, 53685, 50832, 70000, 50832, 64963, 50832, 52683, 57841, 50861, 66548, 67904, 53225, 50387, 53967, 50846, 54594, 65301, 61665, 51609, 50284, 51173, 51315, 51111, 50832, 70560, 55927, 50861, 68666, 50984, 57910, 50968, 52282, 50832, 53829, 50832, 55893, 51841, 51581, 50296, 62614, 65301, 61665, 53225, 50384, 54176, 55229, 53667, 50980, 51279, 51112, 50832, 71460, 54660, 50861, 70859, 64065, 53739, 50855, 56096, 62225, 50832, 55048, 52359, 50861, 52666, 50317, 52666, 50320, 55785, 67980, 50832, 73312, 50832, 55607, 50949, 52224, 50387, 53967, 53442, 50861, 64065, 66030, 50844, 51841, 51388, 51315, 51173, 50832, 70560, 50846, 52260, 53806, 50861, 70859, 61665, 53657, 55888, 51841, 51731, 50296, 54101, 50383, 54176, 55245, 50861, 70859, 64065, 51609, 50277, 51932, 51279, 50980, 50832, 50383, 53967, 55079, 50861, 52386, 50317, 52666, 50320, 55785, 50387, 53967, 50846, 56584, 60233, 50832, 52270, 53685, 50832, 70000, 50832, 64963, 50832, 52683, 57841, 50861, 73357, 67886, 53739, 50387, 53967, 50846, 54852, 61316, 61666, 51764, 50282, 52362, 50294, 58530, 70560, 55927, 50877, 64743, 64134, 55785, 53829, 50832, 55893, 50877, 62869, 59086, 51537, 50282, 50800, 51120, 50833, 51114, 60933, 50384, 54176, 55229, 53667, 51055, 51279, 51048, 50832, 71460, 54660, 50877, 62869, 59086, 64026, 64388, 50855, 56096, 62225, 50832, 55048, 52359, 50877, 70202, 64134, 55785, 67980, 50832, 73312, 50832, 55607, 57244, 50999, 58441, 50387, 53967, 53442, 57472, 60215, 72097, 51062, 52098, 50282, 51286, 51120, 51158, 50832, 70560, 50846, 52260, 53806, 50877, 64743, 70766, 50907, 51081, 69234, 55888, 51799, 51804, 50294, 55048, 50383, 54176, 55245, 50877, 61316, 75199, 50827, 53667, 51192, 51279, 51060, 50999, 51215, 50832, 50383, 53967, 55079, 50876, 64215, 50907, 51114, 54159, 50387, 53967, 50846, 56584, 60233, 50832, 52270, 53685, 50832, 70000, 50832, 64963, 50832, 52683, 57841, 50877, 61316, 76449, 70356, 59286, 50387, 53967, 50846, 54594, 62378, 61666, 78490, 51158, 51026, 79195, 70560, 55927, 50861, 78176, 74197, 50851, 50951, 60662, 53829, 50832, 55893, 51214, 74540, 62614, 65633, 61666, 50822, 79728, 50832, 50384, 54176, 55229, 51799, 74817, 59145, 71460, 54660, 50861, 65633, 59086, 53742, 50855, 56096, 62225, 50832, 55048, 52359, 51214, 50809, 51026, 61368, 52666, 50314, 74197, 55171, 67980, 50832, 73312, 50832, 55607, 57244, 51503, 50859, 51176, 53187, 50387, 53967, 53442, 61022, 60569, 67331, 51279, 51158, 51027, 79195, 70560, 50846, 52260, 53806, 50861, 64545, 50851, 51028, 54995 ]
[ 0, 250, 182, 1769, 12, 20764, 5175, 14123, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 2342, 4467, 483, 7513, 30, 21072, 6, 20535, 2810, 6, 31391, 1672, 9590, 6, 8, 326, 5638, 18026, 4, 23973, 11, 5, 5425, 86, 6543, 9, 195, 73, 306, 8, 5, 762, 9, 230, 3694, 6, 42, 765, 2125, 1171, 10, 33215, 16739, 9, 272, 119, 6, 274, 10431, 119, 1176, 406, 6, 272, 119, 406, 6, 163, 119, 1176, 406, 6, 8, 230, 119, 6, 6946, 7, 63, 15352, 30054, 8, 28339, 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 ]	[ 56355, 50638, 56355, 50791, 71523, 50883, 51570, 50817, 52320, 50883, 50462, 52358, 50817, 50463, 51565, 50942, 51182, 50830, 50466, 52251, 50851, 51629, 50822, 50470, 51565, 50878, 79960, 50473, 52251, 51123, 51629, 50851, 56355, 52093, 50416, 51565, 50878, 51182, 79936, 52251, 51524, 51629, 71437, 51565, 50959, 51182, 50925, 50424, 52251, 51524, 51629, 51051, 51544, 60568, 51565, 50959, 51182, 75411, 52251, 51142, 51629, 69876, 51565, 50955, 79960, 50436, 52251, 51210, 51629, 50933, 51570, 54735, 51565, 51008, 51182, 66479, 52251, 51022, 51629, 71095, 51565, 51008, 51182, 50878, 50448, 52251, 51524, 51629, 51051, 52320, 59671, 51565, 51008, 51182, 65002, 52251, 52179, 51629, 74981, 51565, 51008, 51182, 50878, 50460, 52251, 54618, 51629, 52167, 50462, 56345, 50464, 51565, 51008, 51182, 50942, 50466, 52251, 54618, 51629, 52167, 50470, 51686, 50840, 51284, 50880, 50472, 52156, 50841, 51558, 50818, 56355, 51338, 51603, 51673, 50910, 54864, 72291, 53662, 50898, 53349, 57434, 50818, 71172, 53045, 52893, 53063, 51338, 50993, 52055, 51765, 57201, 54864, 50802, 51570, 53349, 52986, 50816, 55254, 51533, 50802, 54461, 60340, 51187, 53349, 50834, 50462, 51132, 50967, 51289, 51187, 53349, 50834, 50463, 53456, 50823, 56355, 51338, 51603, 51320, 53349, 57434, 54925, 54864, 50802, 71172, 53045, 52893, 57334, 51270, 51031, 51974, 61239, 57201, 54864, 59898, 51338, 51379, 51570, 53349, 52986, 51270, 54844, 55254, 51727, 51175, 56108, 51014, 51289, 51187, 53349, 50834, 50462, 51289, 53708, 53584, 57808, 50828, 50463, 51857, 51505, 58837, 50823, 50468, 53257, 50820, 56355, 51338, 51454, 54864, 64578, 53349, 57434, 54925, 52480, 52115, 51673, 55341, 51565, 51151, 54680, 53045, 52893, 53063, 51338, 50993, 52055, 51765, 80022, 53349, 52986, 50816, 58996, 56385, 51533, 61423, 51187, 53349, 50834, 50462, 51132, 50967, 51289, 51187, 53349, 50834, 50463, 51383, 51031, 56355, 51338, 51603, 52480, 50795, 51320, 53349, 57434, 58100, 51673, 50879, 50424, 52083, 51036, 71172, 53045, 52893, 50834, 51974, 61239, 56859, 51338, 51175, 51570, 53349, 52986, 51270, 54844, 55254, 51727, 51175, 51289, 51187, 53349, 50834, 50462, 51289, 53708, 53584, 57808, 51031, 50463, 51857, 51505, 50468, 51383, 51031, 56355, 51338, 51603, 52480, 50805, 51320, 53349, 57434, 58100, 51673, 50940, 50424, 51606, 51264, 71172, 53045, 52893, 53063, 51338, 50993, 52055, 51765, 80022, 53349, 52986, 50816, 58996, 56385, 51533, 61423, 51187, 53349, 50834, 50462, 51132, 50967, 51289, 51187, 53349, 50834, 50463, 51383, 51031, 56355, 51338, 51603, 52161, 50923, 51320, 58168, 61490, 58100, 51606, 50911, 71172, 53045, 52893, 50834, 51974, 61239, 56859, 51338, 51379, 51570, 53349, 52986, 51270, 54844, 55254, 51727, 51175, 51289, 51187, 53349, 52920, 51270, 56419, 51383, 57335, 51270, 50818, 50462, 51289, 53708, 53584, 50834, 50463, 51857, 51505, 50465, 51383, 50834, 50468, 51383, 50818, 50471, 51383, 50834, 56355, 51338, 51603, 54864, 50802, 52629, 50802, 51683, 64578, 53349, 57434, 52437, 52604, 51033, 54680, 53045, 52893, 59508, 51673, 53961, 51338, 50993, 52055, 51765, 53593, 55639, 51359, 51570, 53349, 52986, 50816, 58996, 56385, 51533, 61423, 51187, 53349, 50834, 50462, 51132, 50967, 51289, 51187, 53349, 50834, 50463, 51383, 51031, 50468, 51270, 51031, 56355, 51338, 51603, 51320, 53349, 57434, 57550, 52604, 51008, 71172, 53045, 52893, 54883, 51673, 51006, 51974, 61239, 56859, 51338, 51379, 50435, 53809, 51151, 51570, 53349, 52986, 50816, 55254, 51727, 51175, 51289, 51187, 53349, 57399, 51270, 55891, 51383, 50820, 50462, 51289, 53708, 53584, 57808, 51031, 50463, 51857, 51505, 50468, 51383, 50820, 56355, 51338, 51454, 51320, 53349, 56616, 71017, 52432, 51383, 57074, 52604, 50959, 71172, 53045, 52893, 64561, 51673, 55544, 51338, 50993, 52055, 51765, 53593, 53297, 51422, 51570, 53349, 52986, 50816, 55254, 51533, 61423, 51187, 56616, 57737, 50834, 50462, 51132, 50967, 51289, 51187, 53349, 50834, 50463, 51383, 51031, 56355, 51338, 51603, 54051, 51121, 51320, 58168, 57434, 54925, 54864, 50993, 51683, 50993, 50421, 52367, 51100, 71172, 53045, 52893, 53063, 54864, 51354, 51683, 50975, 52055, 51371, 71017, 56859, 51338, 51175, 51570, 53349, 52986, 50816, 55254, 51533, 51175, 54461, 51014, 52099, 60340, 51187, 57808, 57737, 50834, 50462, 51289, 51187, 53349, 50834, 50463, 51374, 51505, 56173, 50823, 51888, 50823, 56355, 51132, 51603, 53456, 50802, 51713, 73475, 53349, 57434, 54925, 52747, 65061, 51713, 74899, 51683, 51696, 54680, 53045, 52893, 53063, 51132, 50993, 52055, 51371, 71017, 57201, 53456, 50802, 51570, 53349, 52986, 50816, 58996, 56385, 51910, 50802, 53175, 60340, 51187, 53349, 50834, 50462, 51416, 50967, 51289, 51187, 53349, 50834, 50463, 51947, 50823, 51383, 51031, 56355, 51132, 51603, 53456, 50802, 52747, 78356, 53349, 57434, 58100, 51713, 75800, 52310, 52379, 71172, 53045, 52893, 53063, 51132, 50993, 52055, 51765, 57201, 53456, 50802, 51570, 53349, 52986, 50816, 58996, 53641, 51383, 52725, 78812, 52339, 60340, 51187, 53349, 57399, 51270, 52349, 51383, 50820, 50462, 51910, 50967, 51289, 53708, 53584, 56616, 50828, 50463, 53175, 50823, 50468, 53257, 50820, 56355, 51132, 51603, 53456, 50802, 52747, 50923, 51320, 53349, 50376, 52439, 61490, 58100, 51713, 67233, 51906, 52208, 71172, 53045, 52893, 53063, 51132, 50993, 52055, 51765, 57201, 53456, 50802, 51570, 53349, 52986, 50816, 80210, 52725, 51602, 50802, 53542, 60340, 51187, 53349, 57399, 51270, 52349, 51383, 50820, 50462, 51526, 50967, 51289, 53708, 53584, 56616, 50828, 50463, 52339, 50823, 50468, 51383, 50820, 56355, 51132, 51603, 53456, 50802, 52489, 64578, 58168, 57220, 62497, 58100, 51906, 50802, 71172, 53045, 52893, 50834, 51974, 61239, 57201, 53456, 59898, 51132, 51379, 51570, 53349, 52986, 51270, 53412, 58781, 51383, 52725, 51533, 51175, 53542, 60340, 51187, 56616, 53110, 52920, 51270, 54370, 51270, 50834, 50462, 51289, 53708, 53584, 57808, 50820, 50463, 51374, 51505, 52339, 50823, 50467, 52560, 50880, 50468, 51383, 50828, 50470, 55025, 50840, 50471, 53257, 50834, 56355, 51338, 51454, 54864, 50802, 52061, 50802, 52425, 50802, 72961, 52589, 50898, 53349, 57808, 61490, 54925, 52182, 51294, 50420, 51431, 50865, 51683, 54919, 53147, 52379, 53170, 52379, 54680, 53045, 52893, 53063, 51338, 50993, 52055, 51765, 57201, 54027, 50983, 54864, 50802, 51570, 53349, 52986, 50816, 58996, 56385, 51533, 50802, 54461, 60340, 51187, 53349, 57399, 57624, 50943, 50462, 51132, 50967, 51289, 51187, 53349, 50834, 50463, 53456, 50823, 51383, 51031, 50465, 52182, 51446, 50467, 52560, 50880, 50468, 51383, 50820, 50470, 55025, 50840, 50471, 53257, 50820, 50473, 52061, 51060, 52425, 51060, 56355, 51338, 51603, 72961, 52589, 50898, 53349, 57808, 62497, 54925, 54864, 66576, 51431, 50938, 51683, 50938, 50425, 52336, 51469, 52366, 51469, 71172, 53045, 52893, 57334, 54027, 51446, 51974, 61239, 57201, 54864, 59898, 51338, 51175, 51570, 53349, 52986, 51270, 54844, 58781, 57624, 55082, 51727, 51175, 56108, 51014, 51289, 51187, 53349, 50834, 50462, 51289, 53708, 53584, 57808, 51031, 50463, 51857, 51505, 58837, 50823, 50464, 52182, 51336, 50467, 52560, 50880, 50468, 51383, 51031, 50470, 55025, 50840, 50471, 53257, 50820, 50473, 52061, 51173, 52425, 50893, 56355, 51338, 51603 ]
[ 0, 250, 8787, 3152, 8, 5175, 24904, 2125, 6, 278, 11, 10, 2635, 20889, 8, 204, 73, 306, 86, 6543, 6, 42, 15229, 16, 17407, 30, 63, 2933, 8, 15352, 30054, 5466, 6, 7630, 14805, 10, 25306, 8, 9066, 619, 150, 67, 1839, 3423, 9, 26545, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 5, 3459, 9590, 6, 21072, 6, 3152, 6757, 6, 8, 32909, 6, 2351, 10, 4066, 5797, 990, 1506, 9, 2369, 4, 23973, 11, 5, 762, 9, 83, 3694, 6, 5, 46336, 3184, 29769, 198, 5, 40286, 9, 2060, 6, 230, 119, 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 ]	[ 57528, 55746, 65167, 61164, 57249, 51079, 54978, 56427, 60530, 58087, 57249, 51166, 54978, 62523, 60530, 59914, 57249, 51074, 54978, 59435, 60530, 51074, 50799, 57249, 51074, 54978, 63961, 60530, 55752, 57249, 51074, 54978, 57524, 60530, 55659, 57249, 51074, 54978, 59837, 60530, 56989, 57249, 51074, 54978, 59435, 60530, 51074, 50799, 65167, 56235, 57249, 51079, 54978, 51079, 57454, 51447, 50420, 60530, 58069, 57249, 51079, 54978, 51079, 52185, 53513, 60530, 51079, 51831, 56524, 51831, 61148, 54978, 51447, 57249, 51079, 57454, 59388, 54783, 51079, 50448, 51831, 52800, 57249, 51079, 57454, 51079, 50451, 52522, 54752, 54783, 51079, 52185, 50878, 50799, 57249, 51079, 57454, 51878, 52185, 55587, 60530, 51079, 52185, 57559, 52185, 71266, 57249, 56427, 60530, 51079, 50433, 52185, 60676, 54978, 51481, 51831, 51397, 50444, 57249, 59914, 60530, 62524, 59659, 51481, 50799, 66964, 52407, 57249, 53024, 54978, 51797, 50420, 60530, 51079, 50424, 54103, 52762, 57249, 51079, 54978, 51079, 50427, 54103, 59780, 60530, 51079, 50433, 54103, 54350, 52770, 76711, 57249, 51254, 57454, 51254, 50443, 54783, 51079, 50445, 52185, 53140, 57249, 51884, 57454, 51884, 52185, 57131, 54783, 51074, 52185, 50959, 50799, 57249, 51079, 57355, 51753, 52522, 58793, 60530, 51079, 52522, 57818, 57249, 50972, 57355, 50972, 51831, 55544, 60530, 51079, 52770, 54793, 57249, 51174, 54978, 50972, 51996, 50845, 54103, 51542, 50444, 53780, 55125, 52541, 55345, 51836, 50987, 51831, 50810, 50799, 53916, 51097, 52334, 51637, 52264, 51637, 52185, 50879, 50419, 51831, 54202, 52541, 70754, 51831, 71266, 51996, 51753, 50432, 53916, 51166, 52314, 51365, 50433, 51831, 55467, 51836, 50892, 53709, 51477, 52264, 51477, 52185, 55322, 52541, 51254, 51831, 56317, 51831, 65295, 51996, 51797, 50456, 51836, 51006, 52314, 51824, 51831, 50866, 50799, 53916, 51100, 53437, 51283, 52264, 51283, 50415, 52185, 55587, 52032, 50845, 52185, 53899, 52185, 64002, 53780, 68766, 52032, 50987, 52314, 51365, 52185, 54930, 53916, 50897, 52334, 51878, 52264, 51679, 51831, 51397, 50444, 52541, 57299, 53780, 59781, 52541, 51006, 52264, 50838, 50799, 51996, 51006, 55763, 51627, 52061, 72108, 53780, 66910, 54103, 52870, 52541, 51006, 54103, 54372, 53916, 51006, 51641, 51074, 54103, 55310, 52770, 60847, 51836, 51006, 53709, 51627, 52264, 73196, 52541, 51006, 50445, 52185, 52989, 53780, 51006, 52185, 65628, 52541, 51006, 51641, 51432, 52185, 50878, 51057, 52032, 50838, 53437, 51080, 52264, 51627, 52522, 58793, 52541, 50838, 52522, 55640, 52032, 50838, 51831, 53961, 51836, 50838, 51641, 51166, 50433, 52770, 50959, 56310, 51535, 51040, 52263, 50916, 51397, 53916, 51449, 55763, 51151, 52264, 51145, 71137, 55844, 51069, 51127, 50415, 54103, 51675, 64574, 51477, 50989, 51535, 51086, 54557, 50439, 51205, 51244, 57346, 55002, 50871, 51318, 50965, 51637, 50415, 51228, 52919, 50426, 52185, 60539, 51831, 56030, 51831, 53913, 50900, 76603, 51310, 50965, 64486, 52770, 54043, 54103, 51423, 50459, 52770, 50827, 57346, 55776, 50997, 51945, 50871, 52062, 54103, 62311, 52770, 73616, 54103, 50984, 50422, 52770, 68014, 54103, 50874, 50428, 52770, 72479, 54103, 73143, 50695, 50336, 70546, 50695, 50338, 54947, 50695, 50336, 51550, 50447, 50695, 50338, 54626, 50695, 50336, 51022, 50453, 50695, 50338, 56838, 50695, 50336, 56599, 57346, 51749, 50965, 51535, 78549, 50426, 52185, 53961, 51831, 55167, 52770, 52729, 50900, 51413, 50871, 51749, 50965, 51397, 51831, 55103, 52770, 54043, 54103, 68500, 75618, 52397, 50459, 52770, 50886, 54578, 51115, 50997, 51397, 51040, 51397, 71137, 52147, 51831, 59240, 52770, 55772, 51831, 56037, 52770, 53220, 51831, 53052, 52770, 57039, 51831, 56298, 50997, 51807, 50305, 59782, 51003, 63625, 52147, 50441, 52770, 69869, 51831, 62182, 52770, 70936, 51831, 54323, 50900, 60241, 72271, 50943, 50455, 52770, 51481, 57346, 51945, 50871, 51945, 50965, 51359, 71137, 52503, 54103, 51244, 52288, 78601, 59739, 65418, 50899, 67875, 50989, 51192, 50877, 68797, 50802, 51667, 79935, 52522, 56565, 52522, 50980, 56215, 66766, 51011, 53980, 50861, 51286, 50877, 51286, 51271, 78601, 50859, 52129, 50858, 52376, 53401, 50989, 51379, 50877, 51379, 52457, 51377, 51382, 58403, 50877, 63109, 50916, 51030, 50458, 50927, 56569, 52376, 57614, 52457, 50822, 57844, 51496, 50861, 52195, 50953, 64391, 51016, 75456, 52195, 50417, 52376, 53932, 52457, 54080, 52376, 50810, 51302, 50803, 52457, 55658, 52376, 52658, 52457, 51189, 56215, 54362, 57213, 51011, 67251, 69424, 57350, 51309, 50441, 51028, 51820, 50902, 51730, 52513, 67243, 57929, 51233, 51415, 71160, 54721, 50902, 51907, 53532, 51028, 51907, 52163, 61783, 55763, 51101, 52022, 59553, 56860, 67243, 55331, 50991, 51271, 63968, 51090, 51206, 68621, 53689, 51422, 78091, 51500, 71241, 51379, 50877, 51427, 50804, 50803, 51667, 65727, 52522, 55782, 50927, 54923, 50859, 52522, 51167, 57267, 51286, 50877, 51286, 51271, 78601, 72915, 52376, 50808, 52129, 70292, 52457, 51157, 50447, 50989, 51286, 50877, 69323, 55763, 56951, 58403, 50916, 53275, 50313, 51030, 50459, 50927, 63357, 52376, 50846, 54594, 52195, 50973, 52195, 50902, 52195, 50953, 64391, 51090, 52457, 62160, 57929, 51047, 50417, 52376, 52734, 52457, 53184, 52376, 78211, 50803, 52457, 53847, 52376, 58466, 52522, 51346, 56215, 54773, 57213, 55763, 74188, 66972, 63276, 51377, 51011, 51100, 50441, 51028, 51820, 50902, 51730, 56325, 67243, 70969, 51178, 51415, 72649, 54596, 50902, 51907, 53532, 51028, 51730, 50882, 50455, 63910, 62174, 61783, 52022, 54523, 60343, 67243, 55331, 51160, 50899, 71261, 50980, 58185, 51518, 51271, 52195, 50798, 66556, 68621, 53689, 51422, 53337, 51454, 50989, 77402, 78905, 50803, 51667, 51736, 52522, 52262, 50927, 60623, 50859, 52522, 51060, 57267, 51388, 50877, 51388, 51271, 63968, 50858, 52129, 50806, 51667, 54672, 50989, 51286, 50877, 51286, 52457, 67081, 55763, 51013, 63910, 56744, 58403, 50916, 62620, 50989, 78030, 72586, 52376, 57747, 50953, 51103, 55331, 51551, 50861, 51551, 50973, 51551, 57929, 51047, 70969, 66006, 51090, 52522, 58093, 52376, 54402, 52522, 54080, 52376, 50840, 51302, 50950, 52522, 52605, 52376, 53263, 62471, 52522, 52322, 55763, 51397, 63910, 51183, 51011, 71941, 58746, 52376, 50812, 52129, 50879, 52522, 54672, 52376, 74780, 50803, 52522, 50879, 53462, 50859, 52376, 74304, 54628, 51203, 54717, 51043, 55435, 60246, 50993, 80034, 51234, 51184, 61462, 51449, 50945, 51227, 52615, 50966, 51090, 51206, 50858, 63717, 50810, 50671, 50290, 50886, 52457, 50991, 56363, 50993, 63717, 51060, 50671, 50290, 51101, 53645, 50993, 50877, 51066, 50945, 75270, 50803, 54717, 51060, 54628, 62118, 50997, 50993, 63717, 51158, 50433, 50671, 50290, 53264, 50871, 50993, 80034, 50945, 71160, 50824, 54717, 50879, 54628, 70575, 51667, 63523, 50997, 50993, 63717, 50806, 50671, 50290, 54230, 50871, 50993, 50945, 72042, 50803, 54717, 50795, 54628, 50845, 51652, 51012, 50451, 50877, 61828, 50997, 52466, 50859, 63717, 50879, 50671, 50290, 50845, 51831, 50802, 54578, 50975, 75618, 52598, 50927, 64132, 50824, 54717, 51100, 54628, 51101, 52376, 74947, 50899, 63217, 50993, 51120, 51184, 54569, 50975, 55172, 51060, 70283, 50849, 52457, 52038, 50871, 50993, 80034, 50927, 62719, 50803, 54717, 50849, 52376, 61536, 54628, 54100, 50899, 50993 ]
[ 0, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 15229, 7630, 6568, 5, 4780, 9, 1619, 8, 5, 20522, 9, 9733, 4, 20, 6755, 12547, 6, 30062, 620, 7085, 12280, 642, 6, 32909, 6, 17465, 102, 6, 8, 1515, 21305, 35810, 561, 10, 5797, 990, 1506, 9, 2369, 6, 2351, 10, 5386, 8, 24111, 676, 4, 8504, 11, 163, 3694, 8, 3185, 30, 10, 20902, 27841, 139, 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 ]	[ 50799, 50643, 67004, 50796, 50799, 52351, 50805, 51216, 50806, 52978, 50940, 54816, 50940, 54116, 50940, 59535, 50940, 50696, 50334, 50940, 50696, 50337, 50940, 54422, 50858, 61179, 50858, 64297, 50858, 53297, 51599, 54518, 50834, 51485, 50830, 52314, 50830, 52067, 50830, 55308, 50806, 55870, 50911, 53093, 50806, 54885, 51737, 50432, 52351, 50805, 51261, 52090, 54518, 50834, 54277, 50806, 55870, 50911, 52339, 50805, 54885, 51737, 50450, 52351, 50805, 51668, 55195, 54518, 50834, 56117, 50911, 55870, 50795, 53175, 50911, 54885, 50972, 50799, 52351, 50805, 51216, 51654, 54518, 50834, 55308, 50805, 55870, 50795, 53093, 50806, 54885, 67075, 51251, 51269, 70874, 67735, 51491, 50907, 79582, 66495, 51113, 50874, 72619, 55070, 51107, 50942, 61404, 55100, 52351, 50806, 51261, 52090, 54518, 50834, 54277, 50806, 55870, 50911, 52339, 50806, 54885, 77131, 51600, 50859, 51394, 50859, 51384, 50859, 51886, 55920, 52371, 50952, 51251, 50952, 51107, 50952, 51600, 50955, 51394, 50925, 51384, 50925, 52405, 50952, 55231, 50858, 54422, 50858, 61179, 50858, 53598, 53798, 52351, 50806, 51668, 55195, 54518, 50834, 56117, 50911, 55870, 50911, 53175, 50911, 54885, 50892, 50799, 52351, 80224, 50806, 52371, 50952, 51251, 50952, 51107, 50952, 51600, 50952, 51284, 50952, 51384, 50952, 52405, 50952, 52487, 50952, 54422, 50858, 61179, 50858, 64297, 50858, 53297, 51599, 54518, 50834, 51485, 50830, 52314, 50830, 52067, 50830, 55308, 50806, 55870, 50911, 53093, 50806, 54885, 55214, 52351, 50805, 51261, 52090, 54518, 50834, 54277, 50806, 55870, 50911, 52339, 50806, 54885, 54058, 52351, 50806, 51668, 51428, 54518, 50834, 56117, 50795, 55870, 50911, 53175, 50911, 54885, 50805, 50799, 52351, 76313, 52090, 54518, 50834, 52338, 50806, 55870, 50911, 53093, 50806, 54885, 70335, 51251, 51269, 70874, 67735, 51491, 50907, 79582, 66495, 51113, 50874, 72619, 55070, 51107, 50942, 61404, 55100, 52351, 50806, 51668, 55195, 54518, 50834, 56117, 50911, 55870, 50911, 53175, 50911, 54885, 61772, 51600, 50859, 51394, 50859, 51384, 50859, 51886, 55920, 52371, 50952, 51251, 50952, 51107, 50952, 51600, 50955, 51394, 50925, 51384, 50925, 52405, 50952, 55231, 50858, 54422, 50858, 61179, 50858, 53598, 53798, 52351, 50806, 51261, 55580, 54518, 50834, 54277, 51012, 55870, 50911, 52339, 50806, 54885, 50892, 50799, 52351, 50805, 51216, 50806, 52371, 50952, 51251, 50952, 51107, 50952, 51600, 50952, 51284, 50952, 51384, 50952, 52405, 50952, 52487, 50952, 54422, 50858, 61179, 50858, 64297, 50858, 53297, 51599, 54518, 50834, 51485, 50830, 52314, 50830, 52067, 50830, 51667, 50860, 55308, 50806, 55870, 50911, 53093, 50806, 54885, 51737, 50432, 52351, 50805, 51261, 52090, 54518, 50834, 52522, 51055, 54277, 50806, 55870, 50911, 52339, 50805, 54885, 51737, 50444, 51652, 57099, 52351, 50805, 51668, 55195, 54518, 50834, 51667, 51045, 56117, 50911, 55870, 50795, 53175, 50911, 54885, 57092, 51667, 50936, 50799, 52351, 50805, 51216, 51654, 54518, 50834, 51633, 50936, 55308, 50805, 55870, 50795, 53093, 50806, 54885, 67075, 51251, 51269, 70874, 67735, 51491, 50907, 79582, 66495, 51113, 50874, 72619, 55070, 51107, 50942, 61404, 50912, 51667, 57611, 52351, 50806, 51261, 52090, 54518, 50834, 51652, 51138, 54277, 50806, 55870, 50911, 52339, 50806, 54885, 77131, 51600, 50859, 51394, 50859, 51384, 50859, 51886, 55920, 52371, 50952, 51251, 50952, 51107, 50952, 51600, 50955, 51394, 50925, 51384, 50925, 52405, 50952, 55231, 50858, 54422, 50858, 61179, 50858, 53598, 50823, 52522, 58111, 52351, 50806, 51668, 55195, 54518, 50834, 52457, 50921, 56117, 50911, 55870, 50911, 53175, 50911, 54885, 54771, 55066, 50942, 50799, 52351, 80224, 50806, 52371, 50952, 51251, 50952, 51107, 50952, 51600, 50952, 51284, 50952, 51384, 50952, 52405, 50952, 52487, 50952, 54422, 50858, 61179, 50858, 64297, 50858, 53297, 51599, 54518, 50834, 51485, 50830, 52314, 50830, 52067, 50830, 55308, 50806, 55870, 50911, 53093, 50806, 54885, 55341, 51667, 57359, 52351, 50805, 51261, 52090, 54518, 50834, 52522, 51055, 54277, 50806, 55870, 50911, 52339, 50806, 54885, 55200, 51652, 57099, 52351, 50806, 51668, 51428, 54518, 50834, 51667, 51045, 56117, 50795, 55870, 50911, 53175, 50911, 54885, 52961, 51667, 50936, 50799, 52351, 76313, 52090, 54518, 50834, 51633, 50936, 52338, 50806, 55870, 50911, 53093, 50806, 54885, 70335, 51251, 51269, 70874, 67735, 51491, 50907, 79582, 66495, 51113, 50874, 72619, 55070, 51107, 50942, 61404, 50912, 51667, 57359, 52351, 50806, 51668, 55195, 54518, 50834, 51652, 51138, 56117, 50911, 55870, 50911, 53175, 50911, 54885, 61772, 51600, 50859, 51394, 50859, 51384, 50859, 51886, 55920, 52371, 50952, 51251, 50952, 51107, 50952, 51600, 50955, 51394, 50925, 51384, 50925, 52405, 50952, 55231, 50858, 54422, 50858, 61179, 50858, 53598, 50823, 52522, 57099, 52351, 50806, 51261, 55580, 54518, 50834, 52457, 50921, 54277, 51012, 55870, 50911, 52339, 50806, 54885, 54771, 55066, 50942, 50799, 54576, 50806, 51493, 51012, 52830, 50952, 51301, 50952, 51266, 50952, 51182, 50952, 51558, 50952, 51733, 50952, 51926, 50952, 54294, 50952, 56507, 50858, 58612, 50858, 50663, 50339, 50858, 52367, 51599, 54518, 50834, 51744, 50830, 51579, 50830, 53147, 50830, 52665, 51012, 53266, 51012, 53175, 50911, 57538, 56763, 51667, 57359, 54576, 50806, 51493, 51654, 54518, 50834, 52522, 51055, 53064, 50923, 53266, 50806, 53175, 56646, 51652, 57415, 54576, 50806, 52318, 51654, 54518, 50834, 51667, 50921, 54541, 50805, 55870, 50911, 52701, 56210, 51667, 51055, 50799, 55117, 50806, 52419, 55195, 54518, 50834, 56117, 50911, 53266, 50805, 52058, 50806, 56435, 80253, 51301, 51269, 73291, 67735, 51088, 50907, 67058, 51269, 52113, 51167, 50423, 51357, 50874, 59752, 55070, 51266, 50942, 58061, 55100, 55117, 50806, 52419, 55195, 54518, 50834, 52135, 50938, 54541, 50911, 53266, 50806, 52058, 50806, 56435, 56298, 51633, 74883, 51558, 50859, 51384, 50859, 51733, 50859, 51926, 50859, 52367, 55920, 52830, 50952, 51301, 50952, 51266, 50952, 51182, 50955, 51558, 50925, 51384, 50925, 52405, 50925, 52487, 50952, 54688, 50858, 54422, 50858, 61179, 50858, 64297, 50858, 53297, 50823, 52226, 57415, 55117, 50802, 52419, 55195, 54518, 50834, 52135, 51157, 56117, 50911, 53266, 50806, 52701, 50795, 56435, 50974, 50799, 52351, 50802, 51273, 50911, 52371, 50952, 51251, 50952, 51107, 50952, 51600, 50952, 51284, 50952, 51384, 50952, 54082, 50858, 53163, 50858, 54422, 50858, 51886, 51599, 54518, 50834, 52226, 50938, 55308, 50911, 55870, 50911, 53093, 50806, 54885, 50974, 55207, 51031, 51485, 50823, 52314, 50823, 52067, 50823, 51633, 52737, 62382, 51031, 51641, 50802, 51579, 50802, 52336, 52125, 50804, 50883, 51744, 50823, 52264, 50823, 53147, 53798, 51668, 50911, 60842, 51626, 51031, 51509, 51012, 52067, 51012, 52629, 60345, 51216, 50911, 57375, 51626, 51031, 52314, 50823, 52336, 50823, 55078, 50823, 52591, 50804, 50883, 52314, 50823, 52336, 50823, 55078, 54179, 50804, 51031, 52314, 50802, 52336, 50802, 55078, 52125, 51493, 50806, 70370, 53888, 50883, 51509, 51045, 52067, 51045, 52629, 68280, 51216, 50806, 57375, 53888, 50846, 51744, 51045, 52264, 51045, 53147, 51045, 50799, 52351, 50805, 51216, 50806, 54970, 50952, 50699, 50346, 50952, 50699, 50349, 50952, 50695, 50342, 52204, 50695, 50346, 52204, 50695 ]
[ 0, 250, 2933, 8, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 15855, 2712, 6, 4246, 10, 38668, 483, 6, 13602, 6757, 6, 17605, 9590, 6, 21979, 9590, 6, 8, 21072, 4, 20, 2125, 11498, 10, 2635, 6, 5679, 26709, 2877, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 274, 538, 19, 41, 12447, 1001, 20889, 9, 9680, 13410, 228, 2289, 4, 20, 15229, 30853, 81, 5, 768, 9, 29810, 2397, 6, 10346, 30, 10, 33215, 16739, 9, 83, 6, 163, 43531, 1176, 406, 6, 274, 119, 1176, 406, 6, 211, 119, 6, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50796, 50799, 53125, 52208, 53648, 52208, 55517, 52208, 50804, 55614, 56072, 51460, 51389, 51160, 52987, 50896, 53125, 52208, 53648, 52208, 55517, 52208, 50804, 60854, 53133, 50980, 51273, 50980, 54256, 54214, 53294, 50804, 56068, 53631, 51552, 51098, 51274, 53931, 51274, 50804, 67239, 54747, 50923, 51150, 50795, 52648, 52090, 53338, 56561, 50828, 51601, 56072, 51196, 51389, 51196, 52987, 50896, 56150, 60486, 52905, 52451, 50923, 52592, 50923, 50427, 52451, 50923, 52592, 59434, 53294, 52892, 51573, 53281, 51573, 52796, 51573, 50439, 53930, 51274, 51216, 51274, 53378, 51274, 52892, 51573, 53281, 51573, 52796, 51573, 58995, 57905, 50843, 53563, 52898, 50923, 50457, 55617, 50921, 77869, 53355, 50806, 52898, 50923, 50799, 53799, 52208, 52892, 52208, 52592, 52208, 52796, 52208, 50415, 53631, 50896, 51098, 50896, 53931, 50896, 53799, 52208, 52892, 52208, 52592, 52208, 52796, 52208, 56150, 59485, 54380, 50806, 51140, 50806, 53209, 52420, 62171, 50804, 61361, 53968, 50865, 51493, 50865, 54495, 50806, 52594, 59764, 54380, 51196, 51140, 51196, 53209, 51196, 56150, 50883, 51601, 50843, 53087, 52592, 50923, 52796, 50923, 50427, 53631, 50896, 51098, 50896, 53931, 50896, 52592, 50923, 52796, 50923, 58995, 60486, 53219, 52592, 51573, 52796, 51573, 54096, 51573, 50439, 54747, 51552, 51150, 51274, 52648, 51274, 52592, 51573, 52796, 51573, 54096, 51573, 56150, 57901, 52738, 52592, 51014, 52796, 51014, 50457, 54747, 51021, 51150, 50865, 52648, 50806, 52592, 51014, 52796, 58971, 50883, 51601, 50634, 57397, 51552, 51793, 51274, 53209, 51274, 52592, 51573, 52592, 51573, 53125, 51552, 53125, 51552, 52892, 52097, 52892, 52097, 56150, 65109, 57397, 50923, 51793, 50795, 53209, 50806, 52592, 51014, 52592, 51014, 52898, 51014, 52898, 51014, 56150, 59764, 57397, 51054, 51793, 50896, 53209, 50896, 52892, 51460, 52892, 51460, 52592, 51460, 52592, 51460, 56150, 58418, 57397, 50923, 51793, 50806, 53209, 50806, 52892, 51021, 52892, 51021, 52592, 51021, 52592, 51021, 52898, 51021, 52898, 51021, 58995, 57901, 57735, 57397, 50923, 51793, 50795, 53209, 50806, 52892, 51021, 52892, 51021, 52592, 51021, 52592, 57361, 50895, 51601, 50634, 60302, 51021, 52078, 50936, 53931, 50806, 52451, 50894, 52451, 50894, 52796, 50894, 52796, 50894, 52867, 50894, 52867, 53056, 53479, 64271, 79736, 57397, 51054, 51793, 50896, 53209, 50896, 52892, 51603, 52892, 51603, 52592, 51603, 52592, 51603, 52898, 51603, 52898, 51603, 58995, 64271, 72090, 56242, 50923, 51930, 50795, 54264, 50806, 52892, 50894, 52892, 50894, 52592, 50894, 52592, 50894, 52898, 50894, 52898, 53056, 53479, 63209, 60032, 56072, 51054, 51389, 50896, 54256, 50896, 52451, 51603, 52451, 51603, 52592, 51603, 52592, 51603, 53125, 51603, 53125, 51603, 58995, 63209, 57905, 54747, 50936, 51150, 50936, 54025, 50806, 52451, 50894, 52451, 50894, 52592, 50894, 52592, 53056, 53479, 59765, 70000, 55617, 50896, 51261, 50896, 54685, 50896, 53603, 51603, 53603, 51603, 52796, 51603, 52796, 51603, 56150, 59765, 50961, 55753, 53930, 50865, 51216, 50865, 53441, 50806, 52592, 51014, 52592, 51014, 52898, 51014, 52898, 51014, 56150, 57979, 60760, 53631, 51585, 51098, 51585, 57073, 51585, 52796, 52097, 52796, 52097, 53125, 52097, 53125, 52097, 58995, 57979, 77378, 56150, 61769, 60376, 53125, 50923, 53125, 50923, 51289, 70738, 51289, 60535, 51289, 52920, 51289, 58965, 54096, 50923, 54096, 50923, 50458, 51289, 54991, 51289, 58660, 51289, 50834, 51601, 50635, 53133, 52208, 51273, 52208, 54256, 52570, 52796, 58690, 52796, 58690, 52898, 58690, 52898, 58690, 53648, 58690, 53648, 58690, 57770, 56561, 55882, 50843, 58422, 54013, 51270, 60443, 51270, 52818, 51270, 56512, 51270, 57352, 51270, 58159, 50843, 50385, 52897, 55201, 52060, 60795, 52060, 53325, 52060, 57728, 52060, 58078, 52060, 56688, 50843, 50385, 52418, 55079, 51553, 60535, 51553, 53555, 51553, 57029, 51553, 56842, 51553, 50841, 51601, 53133, 53435, 51273, 53435, 50843, 69574, 55927, 51456, 66478, 51456, 53405, 51456, 57240, 51456, 58405, 51456, 56670, 50843, 64032, 54660, 51224, 61938, 51224, 53196, 51224, 56512, 51224, 57352, 51224, 56866, 51289, 53473, 55757, 51289, 60795, 51289, 53325, 51289, 59279, 51289, 60411, 51289, 53057, 51289, 57399, 52451, 50923, 52451, 59434, 63317, 51289, 57208, 51289, 52579, 51289, 58544, 52592, 50894, 52592, 67516, 51289, 61994, 51289, 50841, 51601, 54634, 50806, 51560, 50806, 54264, 50795, 52796, 50894, 52796, 50894, 53603, 58690, 53603, 53501, 57770, 56561, 55221, 52898, 50894, 50418, 52898, 55492, 52796, 58690, 50421, 53133, 50849, 51273, 50849, 54256, 50795, 52796, 55198, 50427, 54634, 50806, 51560, 50806, 54264, 52732, 50385, 52897, 54660, 52060, 61938, 52060, 53196, 52060, 58685, 53133, 50849, 51273, 50849, 54256, 57775, 52060, 57352, 52060, 56866, 54634, 50896, 51560, 50896, 54264, 51048, 52451, 51527, 52451, 51527, 50843, 50385, 52418, 55201, 51553, 60795, 51553, 53325, 51553, 57728, 51553, 58078, 51553, 56688, 54634, 50806, 51560, 50806, 54264, 52732, 69574, 55079, 51456, 60535, 51456, 53555, 51456, 59036, 53133, 50849, 51273, 50849, 54256, 59831, 51456, 56842, 51456, 50841, 51601, 54634, 50806, 51560, 50806, 54264, 50795, 52892, 52369, 52892, 52369, 68041, 57987, 53133, 50849, 51273, 50849, 54256, 61156, 54634, 50896, 51560, 50896, 54264, 51048, 59493, 52942, 59382, 67779, 56068, 54634, 50806, 51560, 50806, 54264, 65213, 50843, 50385, 52418, 60547, 51553, 63938, 51553, 60479, 53133, 50849, 51273, 50849, 54256, 50795, 51553, 54847, 51553, 58078, 51553, 56688, 54634, 50806, 51560, 50806, 54264, 50795, 53125, 50923, 53125, 50923, 53799, 51603, 53799, 51603, 53603, 51603, 50452, 50843, 69574, 55079, 51456, 60570, 51456, 62107, 53133, 50849, 51273, 51100, 54256, 63354, 50923, 52898, 50923, 51456, 54991, 51456, 56842, 51456, 50841, 51601, 50634, 55617, 50806, 51261, 50806, 53355, 50795, 53603, 52208, 53603, 52208, 52592, 56073, 52592, 56073, 53125, 56073, 53125, 56073, 57770, 56561, 57987, 53930, 50849, 74676, 53378, 61156, 55617, 50806, 51261, 50806, 53355, 52732, 50385, 52418, 55739, 51553, 61938, 51553, 53196, 51553, 57160, 53930, 50849, 74676, 53378, 57775, 51553, 57540, 51553, 58159, 50633, 55617, 50806, 51261, 50806, 53355, 52732, 64032, 55384, 51224, 60795, 51224, 53325, 51224, 60822, 53930, 50849, 74676, 53378, 59830, 51224, 58145, 51224, 57399, 55617, 50806, 51261, 50806, 53355, 56971, 53846, 54944, 51326, 60535, 51326, 53555, 51326, 58901, 53930, 50849, 74676, 53378, 59831, 51326, 56603, 51326, 50834, 51601, 50634, 55617, 52500, 51261, 52500, 53355, 50983, 52451, 50923, 52451, 50923, 50416, 52615, 52082, 51159, 50428, 51721, 51290, 53952, 51460, 53952, 51460, 53799, 51460, 53799, 51460, 50440, 51633, 51016, 53799, 51460, 53799, 51460, 52451, 51460, 52451, 51460, 55745, 51054, 50452, 51993, 51013, 53256, 51460, 53256, 51460, 52451, 51460, 52451, 51460, 52592, 51460, 52592, 51460, 59410, 51054, 51809, 50633, 52372, 51696, 57457, 53435, 52451, 52208, 52451, 52208, 53799, 56073, 53799, 56073, 52796, 56073, 52796, 56073, 50458, 57533, 50923, 51809, 53603, 51460, 53603, 51460, 61125, 52369, 50427, 54761, 51016, 50428, 53603, 51603, 53603, 51603, 52796, 51603, 52796, 51603, 53125, 51054, 53125, 51054, 50439, 52372, 51013, 50440, 53603, 51054, 53603 ]
[ 0, 250, 15352, 30054, 8, 1372, 3495, 3152, 2214, 4246, 13305, 6, 3152, 6757, 6, 2382, 3459, 8669, 6, 3459, 9590, 6, 8, 21072, 6, 278, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 11509, 12049, 9, 657, 8, 10563, 149, 63, 33215, 16739, 9, 381, 6, 274, 10431, 119, 6, 8, 274, 10431, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 50856, 50898, 50932, 50415, 51777, 51922, 51119, 52503, 51489, 51922, 51544, 51108, 50427, 50947, 50991, 50436, 50947, 50830, 51570, 50932, 50440, 51316, 51060, 53526, 53401, 51316, 50830, 51382, 51421, 51097, 50451, 51076, 51060, 54124, 53793, 50947, 50830, 65100, 51524, 51119, 52167, 51777, 52167, 51011, 51870, 52949, 52720, 53245, 52720, 50798, 50940, 52574, 50919, 55534, 51316, 51291, 50417, 51119, 52167, 50418, 51232, 51524, 51232, 51524, 51119, 52167, 51777, 52179, 51777, 52179, 52112, 50422, 51232, 52167, 51232, 52167, 51119, 52167, 51119, 52167, 51777, 51862, 51777, 51862, 61236, 51232, 51862, 51232, 51862, 51119, 54146, 51119, 54146, 51777, 52167, 51777, 52167, 51385, 51319, 51403, 50904, 52110, 75070, 51421, 57881, 51232, 52167, 51232, 52167, 51119, 56373, 51119, 56373, 51777, 52946, 51777, 52946, 52105, 50434, 51232, 52167, 51232, 52167, 51119, 52167, 51119, 52167, 51777, 51862, 51777, 51862, 51011, 51551, 52358, 53040, 51232, 51524, 51232, 51524, 51119, 54088, 51119, 54088, 51777, 51862, 51777, 51862, 51019, 77609, 50858, 52105, 50442, 51232, 52167, 51232, 52167, 51119, 54618, 51119, 54618, 51777, 52167, 51777, 52167, 52105, 50446, 51232, 52167, 51232, 52167, 51119, 54146, 51119, 54146, 51777, 52179, 51777, 52179, 59848, 51232, 51524, 51232, 51524, 51119, 54088, 51119, 54088, 51777, 51862, 51777, 51862, 51403, 50864, 51385, 51851, 52110, 74068, 51044, 57297, 51232, 52167, 51232, 52167, 51119, 54618, 51119, 54618, 51777, 52167, 51777, 52167, 52261, 50458, 51232, 52946, 51232, 52946, 51119, 56373, 51119, 56373, 51777, 52167, 51777, 52167, 51019, 51356, 51931, 65100, 51524, 51232, 51524, 51119, 54088, 51119, 54088, 51777, 52167, 51777, 52167, 51011, 54055, 50798, 50858, 52105, 50418, 51232, 54088, 51232, 54088, 51119, 56373, 51119, 56373, 51777, 54088, 51777, 54088, 52105, 50422, 51232, 52167, 51232, 52167, 51119, 56373, 51119, 56373, 51777, 54146, 51777, 54146, 58139, 51232, 52167, 51232, 52167, 51119, 54146, 51119, 54146, 51777, 52946, 51777, 52946, 51385, 52134, 51403, 50941, 52110, 74068, 51044, 50829, 50947, 50967, 50430, 51232, 52167, 51232, 52167, 51119, 54618, 51119, 54618, 51777, 52946, 51777, 52946, 51468, 50434, 51232, 52167, 51232, 52167, 51119, 54618, 51119, 54618, 51777, 54088, 51777, 54088, 51011, 51977, 61558, 50834, 50947, 53402, 51232, 52179, 51232, 52179, 51119, 54146, 51119, 54146, 51777, 52946, 51777, 52946, 51011, 75277, 50858, 52105, 51316, 50967, 50442, 51232, 52167, 51232, 52167, 51119, 54088, 51119, 54088, 51777, 52946, 51777, 52946, 51471, 50446, 51232, 52167, 51232, 52167, 51119, 54618, 51119, 54618, 51777, 52946, 51777, 52946, 51762, 51316, 53484, 51232, 52179, 51232, 52179, 51119, 54146, 51119, 54146, 51777, 52167, 51777, 52167, 51403, 51000, 52110, 50971, 51385, 70028, 51044, 57150, 51076, 51060, 50454, 51232, 52179, 51232, 52179, 51119, 54088, 51119, 54088, 51777, 52167, 51777, 52167, 50791, 60427, 51232, 52179, 51232, 52179, 51119, 52946, 51119, 52946, 51777, 56373, 51777, 56373, 51011, 72558, 50884, 50947, 50830, 61310, 52167, 51198, 52167, 51494, 52946, 51494, 52946, 51512, 56373, 51512, 56373, 51429, 52167, 51429, 52167, 51415, 51870, 53144, 52720, 51914, 52720, 50798, 50858, 51248, 50797, 51239, 50828, 72211, 50418, 51198, 54088, 51198, 54088, 51494, 56373, 51494, 56373, 51429, 54146, 51429, 54146, 52105, 50422, 51198, 52167, 51198, 52167, 51494, 56373, 51494, 56373, 51429, 54088, 51429, 54088, 60454, 51198, 52167, 51198, 52167, 51494, 54088, 51494, 54088, 51429, 54088, 51429, 54088, 51185, 51126, 52165, 51297, 53706, 50364, 51071, 51044, 57286, 61621, 50430, 51198, 52946, 51198, 52946, 51494, 56373, 51494, 56373, 51429, 54618, 51429, 54618, 51931, 50433, 51078, 51291, 50434, 51198, 51862, 51198, 51862, 51494, 52167, 51494, 52167, 51429, 52167, 51429, 52167, 51415, 51551, 54933, 52766, 51198, 52179, 51198, 52179, 51494, 54088, 51494, 54088, 51429, 54088, 51429, 54088, 51213, 76727, 50858, 52105, 50442, 51198, 52167, 51198, 52167, 51494, 56373, 51494, 56373, 51429, 54618, 51429, 54618, 51762, 50446, 51198, 52179, 51198, 52179, 51494, 54146, 51494, 54146, 51429, 54146, 51429, 54146, 59207, 51198, 52167, 51198, 52167, 51494, 54088, 51494, 54088, 51429, 52946, 51429, 52946, 52165, 50971, 51185, 51123, 53706, 64348, 51044, 59096, 51198, 52167, 51198, 52167, 51494, 56373, 51494, 56373, 51429, 54146, 51429, 54146, 51931, 50458, 51198, 52167, 51198, 52167, 51494, 54146, 51494, 54146, 51429, 54146, 51429, 54146, 51213, 50921, 52105, 61310, 51862, 51198, 51862, 51494, 52946, 51494, 52946, 51429, 52167, 51429, 52167, 51415, 58747, 50858, 52105, 50418, 51198, 52167, 51198, 52167, 51494, 54088, 51494, 54088, 51429, 52946, 51429, 52946, 51931, 50422, 51198, 52167, 51198, 52167, 51494, 54088, 51494, 54088, 51429, 54146, 51429, 54146, 52105, 50425, 50947, 59204, 51198, 51862, 51198, 51862, 51494, 52946, 51494, 52946, 51429, 52167, 51429, 52167, 51185, 51210, 52165, 50907, 53706, 51524, 54161, 58331, 51198, 52167, 51198, 52167, 51494, 52946, 51494, 52946, 51429, 54088, 51429, 54088, 51931, 50433, 50947, 56080, 51198, 52179, 51198, 52179, 51494, 54618, 51494, 54618, 51429, 54146, 51429, 54146, 51213, 58878, 50840, 68039, 51198, 52179, 51198, 52179, 51494, 52167, 51494, 52167, 51429, 51862, 51429, 51862, 51415, 66196, 50858, 52105, 50947, 50967, 50442, 51198, 52167, 51198, 52167, 51494, 54146, 51494, 54146, 51429, 54146, 51429, 54146, 52093, 50446, 51198, 51862, 51198, 51862, 51494, 52167, 51494, 52167, 51429, 52167, 51429, 52167, 52093, 50947, 53484, 51198, 52167, 51198, 52167, 51494, 52167, 51494, 52167, 51429, 52167, 51429, 52167, 51185, 51142, 52165, 50907, 53706, 75070, 51044, 75634, 51060, 50454, 51198, 52167, 51198, 52167, 51494, 52946, 51494, 52946, 51429, 54618, 51429, 54618, 52093, 50457, 50947, 67074, 51198, 51862, 51198, 51862, 51494, 52167, 51494, 52167, 51429, 52167, 51429, 52167, 51415, 54196, 51044, 50930, 65100, 52179, 51232, 52179, 51119, 52179, 51119, 52179, 51777, 52167, 51777, 52167, 51011, 51541, 52949, 53588, 53245, 51748, 50798, 52153, 50818, 50947, 50983, 50418, 51232, 52167, 51232, 52167, 51119, 54146, 51119, 54146, 51777, 52179, 51777, 52179, 50791, 56493, 51232, 54088, 51232, 54088, 51119, 56373, 51119, 56373, 51777, 52946, 51777, 52946, 61236, 51232, 52167, 51232, 52167, 51119, 52946, 51119, 52946, 51777, 51862, 51777, 51862, 51385, 51550, 51403, 50912, 52110, 75070, 51044, 57881, 51232, 52946, 51232, 52946, 51119, 56373, 51119, 56373, 51777, 52167, 51777, 52167, 52105, 50433, 51078, 66881, 51232, 52167, 51232, 52167, 51119, 54088, 51119, 54088, 51777, 52179, 51777, 52179, 51011, 51413, 63998, 53116, 51232, 51862, 51232, 51862, 51119, 54618, 51119, 54618, 51777, 52167, 51777, 52167, 51011, 66196, 52153, 50841, 62299, 50442, 51232, 52179, 51232, 52179, 51119, 54146, 51119, 54146, 51777, 52167, 51777, 52167, 51471, 50446, 51232, 52167, 51232, 52167, 51119, 54618, 51119, 54618, 51777, 52167, 51777, 52167, 60899, 51232, 51862, 51232, 51862, 51119, 54146, 51119, 54146, 51777, 51862, 51777, 51862, 66035, 51385, 51022, 51403, 50822, 52110, 51862, 54161, 59617, 51232, 52167, 51232, 52167, 51119, 54088, 51119, 54088, 51777, 51862, 51777, 51862, 51228, 50921, 51931, 50458, 51232 ]
[ 0, 250, 2635, 8, 15352, 30054, 5175, 1619, 2214, 11, 230, 538, 6, 4246, 3459, 8669, 6, 21072, 6, 13305, 6, 486, 118, 9877, 483, 6, 8, 6755, 12547, 6, 19, 10, 33215, 16739, 9, 230, 6, 274, 119, 1176, 406, 6, 272, 6, 381, 406, 6, 8, 1918, 6, 7630, 14805, 10, 1372, 8, 33558, 6711, 11, 63, 765, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 51457, 51036, 51818, 51036, 51981, 51307, 53482, 51021, 52453, 72059, 75970, 54213, 51250, 50836, 51780, 52847, 51700, 50835, 51510, 50365, 51765, 52917, 51250, 50795, 51780, 53543, 51239, 50846, 71118, 53482, 51033, 51350, 53959, 53766, 52240, 50825, 51556, 54203, 53482, 51030, 51250, 50795, 51780, 71276, 50818, 51572, 53858, 51350, 50834, 52969, 69022, 52240, 55519, 54914, 77223, 51780, 50862, 51895, 51117, 52805, 53171, 51003, 61556, 51045, 61394, 56883, 53482, 50949, 51250, 50849, 51780, 51100, 52008, 50454, 64068, 54712, 50843, 52240, 57950, 71799, 51033, 74262, 77034, 51894, 51825, 51036, 52287, 51264, 53508, 50911, 52453, 54925, 71799, 51362, 71787, 51355, 50840, 51536, 55250, 51989, 50870, 51510, 52872, 51355, 50849, 51536, 53888, 51179, 54013, 53508, 53287, 51187, 52953, 53508, 50882, 51262, 50810, 61556, 51033, 60007, 51989, 50835, 51556, 54114, 53508, 50940, 51355, 50849, 51536, 50849, 56216, 51552, 51479, 50818, 51572, 57527, 53027, 51262, 54640, 52240, 58847, 54284, 70099, 51536, 52217, 53430, 53633, 51073, 54001, 53545, 51327, 51235, 51355, 50805, 51536, 51111, 63012, 54799, 67451, 51989, 50870, 78384, 50799, 51457, 51655, 51818, 51036, 51981, 51307, 53482, 51014, 56647, 51021, 52453, 73486, 53070, 77866, 51780, 50836, 56216, 55509, 51989, 53991, 52969, 51400, 54958, 51765, 52976, 51250, 50805, 51780, 52918, 51179, 54013, 61814, 53482, 50940, 51350, 53309, 53766, 51989, 69499, 54114, 53482, 51033, 51250, 50849, 51780, 50849, 52321, 69867, 54189, 53927, 50983, 51350, 54640, 51989, 57071, 55686, 51250, 50836, 51780, 52217, 60238, 51129, 51382, 51135, 57886, 54310, 51124, 53482, 50893, 51250, 51111, 51780, 51060, 51956, 58201, 51989, 54603, 53482, 50859, 52008, 77034, 51358, 51825, 51336, 52287, 50918, 53171, 50918, 53508, 50893, 53358, 75179, 53738, 70099, 51536, 55250, 51989, 55983, 52969, 50867, 72709, 51355, 50849, 51536, 51162, 61556, 52997, 51179, 56499, 53508, 50808, 64068, 50910, 52166, 53031, 53508, 50858, 51262, 54312, 53843, 52546, 54483, 61556, 50921, 62432, 52287, 51103, 53171, 51183, 57494, 51047, 53508, 50858, 51250, 50943, 53358, 56650, 51355, 51162, 64068, 51033, 54958, 51371, 53325, 51536, 69319, 51989, 58847, 54673, 52825, 50910, 56216, 51073, 60551, 51250, 79900, 54363, 53633, 55060, 51179, 53555, 53508, 50923, 53698, 51753, 51093, 51753, 50843, 68336, 54625, 52395, 63930, 58660, 51769, 50846, 50799, 51818, 50828, 51981, 50839, 53171, 50839, 51249, 51413, 51327, 51562, 51825, 51562, 51338, 50883, 51132, 51226, 53428, 50862, 51284, 50862, 59151, 50820, 53718, 51397, 52321, 57705, 53428, 50862, 51284, 50862, 52622, 50420, 51223, 50846, 77309, 53428, 50836, 51284, 55250, 52703, 59927, 56016, 53428, 70528, 51187, 52976, 51223, 50940, 51262, 50977, 53428, 70528, 54212, 51130, 51989, 54013, 53428, 70528, 51187, 53962, 51132, 50910, 51265, 50837, 53428, 50839, 51284, 53790, 53766, 53099, 54606, 53428, 50917, 51284, 54260, 70227, 51457, 51191, 52932, 51351, 51727, 50840, 57204, 51452, 57124, 51661, 51262, 50812, 51543, 53877, 51130, 56650, 51436, 50834, 53428, 50835, 51284, 51750, 53384, 53428, 50836, 51284, 55250, 64494, 52707, 54368, 51262, 50828, 51543, 50862, 53428, 50841, 51284, 51406, 64427, 62849, 53428, 50917, 51284, 50917, 51382, 51139, 52546, 57886, 51457, 50813, 51825, 50862, 52932, 50813, 51262, 50828, 51543, 50813, 52869, 51008, 51182, 51008, 52008, 50456, 53050, 51100, 51201, 69319, 53099, 54794, 51262, 50809, 51543, 53340, 60642, 50820, 50799, 51457, 50839, 51825, 50841, 52932, 50839, 51727, 50883, 52869, 51477, 51182, 51477, 52453, 58487, 51818, 51183, 51981, 51127, 53171, 51183, 51338, 51226, 59151, 51047, 50417, 51250, 50859, 51536, 50897, 52008, 50420, 51350, 64972, 53099, 68256, 54951, 51223, 51464, 52976, 51250, 50938, 51536, 57616, 65204, 56499, 52166, 53962, 76266, 51350, 50928, 53517, 51166, 51113, 51166, 66717, 53099, 50825, 51556, 58286, 52869, 50862, 51182, 53894, 52109, 50854, 51338, 50895, 51844, 51291, 51250, 50820, 51536, 50839, 51350, 50866, 54307, 51047, 53358, 60464, 52869, 50834, 51182, 51464, 62971, 52869, 50855, 51182, 54840, 52109, 51115, 51729, 58810, 53099, 71135, 58394, 52869, 50812, 51182, 54672, 51350, 50895, 77866, 52008, 50449, 53428, 51775, 51284, 51775, 51382, 51139, 52546, 56246, 51818, 51172, 72708, 77483, 51248, 52289, 53555, 50843, 52245, 57059, 52869, 51123, 51182, 72037, 55709, 56842, 53050, 51103, 51201, 51103, 50799, 52109, 50839, 51818, 50839, 51981, 50839, 51303, 51486, 51249, 51692, 51457, 51692, 51844, 51031, 51181, 51745, 54307, 50820, 52886, 51422, 52321, 73486, 54183, 51265, 50846, 51195, 53434, 52703, 59927, 50928, 72709, 51265, 50940, 51195, 50977, 55737, 51989, 50818, 76726, 51181, 50893, 51425, 54390, 53766, 53099, 50834, 51556, 53569, 51181, 50807, 51265, 50812, 51195, 53877, 51130, 56650, 51482, 51464, 62971, 53428, 54861, 51284, 54861, 54032, 64494, 52707, 54368, 51265, 50828, 51195, 53340, 64427, 62849, 51825, 50839, 51132, 51227, 52869, 50912, 51182, 50912, 53718, 50915, 51382, 51139, 52546, 57886, 51249, 50813, 51327, 50862, 51825, 60143, 50828, 51262, 51559, 64360, 52869, 54298, 51182, 54298, 58201, 53099, 54794, 51223, 50809, 51262, 53340, 60642, 55971, 53050, 52431, 51201, 52431, 57204, 51151, 50799, 51457, 51790, 51825, 51675, 52932, 51353, 51727, 51274, 52453, 57705, 51262, 50859, 51543, 50897, 52008, 50420, 51195, 64972, 53099, 68256, 54951, 51436, 51464, 52976, 51262, 50938, 51543, 57616, 65204, 56499, 52166, 53962, 51727, 50805, 51195, 56926, 53843, 53099, 50825, 51556, 50891, 57124, 51661, 51262, 50866, 51543, 50901, 53358, 50961, 68251, 51457, 51295, 51195, 58810, 53099, 71135, 54673, 51262, 50895, 79653, 52008, 51382, 51139, 52546, 56246, 51825, 51423, 51262, 50890, 51543, 50887, 51248, 52289, 60570, 53698, 51753, 51093, 51753, 58201, 52245, 54794, 55709, 56842, 51249, 50839, 51327, 50835, 53428, 50863, 51284, 50863, 53718, 50820, 76675, 51413, 51327, 51562, 51825, 51562, 51132, 51274, 53718, 51397, 52321, 70426, 53428, 50834, 51284, 64264, 73954, 53428, 50820, 51284, 52761, 51223, 50846, 51262, 53434, 52703, 59927, 65587, 53428, 50829, 51284, 50829, 51510, 63026, 53428, 50839, 51284, 52992, 51223, 50940, 51262, 50977, 55737, 51989, 60568, 53428, 50839, 51284, 50839, 51532, 64161, 53428, 50834, 51284, 53063, 51132, 50910, 51265, 54390, 53766, 53099, 56512, 53428, 50917, 51284, 71148, 51457, 51191, 52932, 51351, 51727, 50840, 57204, 51452, 58907, 57124, 51661, 51262, 50812, 51543, 53877, 51130, 68017, 53428, 50820, 51284, 54704, 51436, 51464, 62971, 53428, 50820, 51284, 52616, 50843, 64494, 52707, 56892, 53428, 50825, 51284, 53528, 51262, 50828, 51543, 53340, 64427, 62849, 53428, 50942, 51284, 50942, 51382, 51139, 52546, 57886, 51457, 50813, 51825, 50862, 52932, 50813, 51262, 50828, 51543, 50813, 52869, 50933, 51182, 50933, 52008, 50456, 53050, 51177, 51201, 51177, 50843, 53099, 54794, 51262, 50809, 51543, 53340, 60642, 50820, 50799, 51457, 50839, 51825, 50841, 52932, 50839, 51818, 51183, 51981, 51127, 53171, 51183, 51727, 50883, 51338, 51226, 52869, 51965, 51182, 51965, 59151, 51047, 52453, 57705, 51250, 50859, 51536, 50897, 52008, 50420, 51350, 64972, 53099, 68256, 54951, 51223, 51464, 52976, 51250, 50938, 51536, 57616 ]
[ 0, 250, 15855, 8, 3495, 24904, 2214, 4246, 10, 13305, 8, 32909, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 4, 20, 2125, 7630, 6568, 10, 25306, 5466, 19, 17878, 9, 15073, 6, 150, 202, 6780, 15352, 30054, 8, 1372, 4785, 4, 23973, 11, 5, 762, 9, 230, 538, 6, 5, 15229, 29769, 198, 5, 40286, 272, 6, 230, 6, 8, 211, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 52552, 50625, 50999, 55085, 51081, 50866, 54734, 51962, 50297, 51962, 50328, 51134, 53502, 50978, 53645, 61976, 50978, 56014, 51962, 50328, 54014, 50871, 61976, 51962, 50327, 55040, 50900, 51962, 50328, 54356, 50871, 61976, 51962, 50333, 54752, 50900, 51962, 50337, 50866, 54662, 51962, 50302, 51962, 50335, 51109, 56363, 50978, 53337, 60127, 51962, 50330, 69558, 50997, 50978, 55898, 60127, 64208, 50997, 50978, 56279, 60127, 51962, 50330, 77948, 50997, 50978, 53997, 76553, 51962, 50328, 51134, 53502, 50978, 53645, 61976, 59982, 51146, 64312, 73187, 51062, 52729, 50871, 64608, 51710, 50330, 50936, 55513, 77604, 50936, 56415, 64608, 51710, 50325, 57973, 50900, 76028, 50936, 56807, 51919, 50292, 65815, 77130, 51430, 51919, 50335, 51919, 50338, 57327, 51430, 51919, 50335, 71327, 51472, 50916, 51472, 50861, 51472, 50906, 51472, 50432, 51062, 51919, 50332, 57626, 50968, 79443, 59357, 50951, 57824, 50999, 56974, 51081, 50937, 56310, 51710, 50325, 51241, 51062, 51241, 53502, 65482, 50978, 53523, 65482, 59982, 51146, 64312, 65482, 73187, 51062, 52729, 51027, 77244, 51109, 55513, 65482, 50978, 55895, 65482, 71508, 51109, 72407, 65482, 50978, 55435, 62597, 51134, 51081, 51134, 54569, 65482, 50978, 53337, 65482, 50978, 58296, 65482, 63988, 77498, 54014, 50997, 71508, 51109, 51146, 51109, 55989, 65482, 50978, 56279, 65482, 51962, 50328, 54752, 50899, 65482, 51962, 50326, 50866, 58479, 78166, 51253, 78120, 67104, 63766, 54278, 51146, 57356, 51062, 54014, 50951, 77238, 51253, 50997, 51253, 78120, 78444, 50444, 50968, 54356, 51146, 56974, 51062, 50866, 64688, 61976, 51109, 50931, 51109, 60284, 58632, 51085, 61902, 51109, 50999, 69558, 51279, 60676, 51247, 51253, 50877, 51109, 50931, 51109, 52552, 52521, 55085, 52813, 50866, 68614, 51134, 51247, 51253, 51050, 51253, 53502, 50866, 53645, 59437, 53961, 52064, 68038, 54014, 53122, 51665, 50285, 51253, 51050, 51253, 50444, 52064, 68038, 54356, 52249, 60898, 59437, 54752, 52142, 68038, 50866, 71802, 51109, 51234, 51253, 56363, 54278, 51967, 68323, 61434, 53961, 50997, 54014, 51234, 51253, 66626, 54356, 51967, 66867, 61434, 54752, 51967, 77239, 50866, 68614, 51134, 51085, 51253, 53502, 50866, 53645, 59437, 53961, 52064, 68038, 54014, 51967, 51665, 50292, 51253, 50444, 52064, 68038, 54356, 52521, 60898, 59437, 54752, 53992, 68038, 50866, 77723, 51397, 51085, 51253, 78120, 50420, 50951, 51665, 50326, 54278, 50968, 65524, 53961, 50876, 69215, 54014, 50916, 62245, 55040, 50916, 61434, 54356, 52521, 60898, 59437, 54752, 52813, 61434, 62839, 50866, 68614, 51134, 51247, 51253, 51050, 51253, 53502, 50866, 53645, 59437, 53961, 52064, 68038, 54014, 53122, 51665, 50285, 51253, 51050, 51253, 50444, 52064, 68038, 54356, 52249, 60898, 59437, 54752, 52142, 68038, 50866, 71802, 51056, 51234, 51109, 56363, 57817, 51967, 60959, 57682, 57356, 50997, 58020, 51324, 51157, 55989, 57704, 58138, 51967, 60757, 58603, 51967, 67047, 57704, 50924, 71802, 51294, 51085, 51157, 53502, 73022, 57704, 50924, 53523, 73022, 57704, 57943, 51951, 65185, 73022, 57704, 58818, 52142, 51710, 50287, 73574, 74322, 51951, 51710, 50303, 67047, 57704, 58138, 52249, 51710, 50303, 67047, 57704, 58603, 51967, 51710, 50303, 67047, 57704, 50924, 68614, 51472, 51085, 68538, 56440, 58733, 50924, 54439, 57943, 50916, 58733, 58818, 51085, 68538, 65827, 58733, 58138, 52064, 57704, 58603, 52064, 73022, 58733, 50924, 50799, 52813, 51294, 51085, 68538, 56440, 79998, 54439, 57943, 51951, 73022, 59820, 58818, 51951, 51710, 50292, 68538, 50444, 52064, 73022, 59820, 58138, 52064, 57704, 58603, 52130, 73022, 79998, 76140, 51073, 51247, 51157, 51050, 51157, 53502, 60757, 64608, 57316, 52064, 65815, 60757, 64608, 50924, 56014, 60757, 64608, 58818, 51247, 51157, 51050, 51157, 55513, 60757, 64608, 58138, 52064, 65185, 60757, 64608, 58603, 52064, 65185, 60757, 64608, 50924, 50799, 52813, 51294, 51085, 68538, 56440, 57704, 79998, 56248, 57704, 59820, 57943, 51951, 73022, 57704, 59820, 58818, 52249, 51710, 50285, 51157, 51050, 74322, 52064, 65185, 60757, 64608, 58138, 52064, 65185, 60757, 64608, 58603, 52249, 65185, 60757, 64608, 50924, 71802, 51472, 51085, 68538, 56440, 57704, 58733, 50924, 56248, 57704, 58733, 57943, 50916, 57704, 58733, 58818, 50916, 57704, 58733, 51710, 50292, 68538, 65827, 57704, 58138, 52521, 60898, 59437, 54752, 52813, 61434, 62839, 50866, 68614, 51134, 51247, 51253, 51050, 51253, 53502, 50866, 53645, 59437, 53961, 52064, 68038, 54014, 53122, 51665, 50283, 51253, 51197, 51253, 50444, 52064, 68038, 54356, 52249, 60898, 59437, 54752, 52142, 68038, 50866, 50799, 54113, 51056, 51799, 51109, 51120, 51109, 56363, 57817, 51967, 60959, 57682, 57356, 50997, 58020, 53492, 51157, 51234, 51157, 66626, 58138, 51967, 67047, 57704, 58603, 51967, 76455, 50924, 68614, 51226, 52206, 51073, 51085, 51073, 53502, 50936, 53645, 63621, 57611, 52249, 71327, 57626, 52142, 51919, 50280, 51073, 51085, 51073, 50444, 54113, 71327, 58111, 51967, 73721, 62509, 61624, 57973, 52130, 71327, 50936, 51034, 52249, 51285, 51050, 51472, 53502, 50936, 53645, 63621, 50936, 56014, 57626, 51247, 65815, 63187, 64460, 52552, 52064, 51109, 50799, 54113, 51134, 50916, 61434, 51665, 50292, 51253, 53502, 54278, 51315, 61902, 53961, 52142, 77238, 76553, 54014, 51951, 68038, 73665, 61434, 55040, 53058, 77238, 76553, 54356, 51951, 51665, 50296, 61902, 54752, 51967, 51665, 50292, 76553, 50866, 76140, 60898, 59437, 51665, 50285, 51253, 50420, 52142, 68038, 54278, 52064, 51109, 51279, 61902, 53961, 51085, 76553, 54014, 50871, 59437, 51665, 50297, 51253, 55513, 54356, 52064, 51109, 50876, 51665, 50285, 51253, 72407, 50866, 76140, 51226, 51247, 51073, 51050, 65815, 63187, 64460, 50432, 52249, 57626, 52249, 51919, 50287, 77468, 51073, 60355, 59001, 68022, 50444, 52142, 58111, 51951, 57973, 52249, 50936, 71802, 51285, 50916, 62509, 62392, 51919, 50292, 51472, 50900, 51472, 67855, 79443, 57327, 50968, 51710, 50326, 57943, 50968, 77152, 58818, 50876, 71557, 62929, 72155, 78581, 70338, 58365, 59390, 57824, 52064, 51109, 50861, 62839, 54752, 50916, 61434, 50866, 76140, 51241, 51050, 51134, 70836, 50877, 51241, 50876, 51241, 50931, 79763, 52249, 51588, 50295, 71674, 59437, 59390, 68543, 58020, 52249, 51588, 50294, 66867, 59437, 59390, 68543, 59352, 52249, 51588, 50294, 66867, 59437, 59390, 68543, 57824, 52249, 51588, 50293, 51665, 50305, 67181, 67844, 68543, 56974, 52249, 51588, 50293, 51665, 50305, 67181, 67844, 68543, 50937, 76140, 51294, 51085, 51204, 50900, 51204, 50877, 51294, 50931, 51294, 50432, 51951, 51710, 50292, 71281, 64471, 77152, 58818, 52142, 51055, 51247, 51073, 51050, 51073, 60240, 50999, 76342, 52064, 50866, 57528, 52064, 51134, 51085, 51253, 78120, 50916, 78581, 67384, 50432, 52064, 54014, 53122, 55040, 52064, 54356, 52142, 59390, 66986, 51665, 50292, 51253, 78120, 50456, 51951, 59437, 65524, 50866, 76140, 51452, 50877, 62245, 65140, 51665, 50285, 51535, 51050, 51535, 58060, 54278, 50902, 53961, 50968, 54014, 50931, 62929, 62646, 68721, 75115, 50951, 57824, 50999, 58603, 51081, 50924, 57448, 51247, 51073, 51050, 51073, 51062, 51226, 53523, 63882, 70148, 51073, 50432, 51146, 53660, 51062, 52877, 51081, 71327, 63882, 70148, 51073, 50444, 50999, 58111, 50951, 71327, 63882, 70148, 51073, 76496 ]
[ 0, 713, 8787, 5175, 15229, 22750, 1626, 11098, 8, 1007, 6, 4246, 10, 20902, 20535, 2810, 6, 21072, 6, 2236, 1021, 2678, 29, 6, 38668, 9590, 6, 8, 26432, 636, 3938, 22052, 4, 8504, 11, 211, 3694, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 15352, 30054, 2125, 7630, 6568, 10, 2365, 8, 1035, 16464, 6, 19, 5, 40286, 230, 8, 211, 119, 16331, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51528, 51582, 55712, 50825, 51088, 60130, 51165, 60130, 51107, 60130, 51402, 53995, 53405, 50861, 69074, 67904, 51539, 51987, 53109, 50903, 51833, 51693, 52389, 51582, 55712, 54974, 50861, 61752, 67904, 51539, 53995, 53196, 56278, 50825, 51556, 51693, 57267, 69074, 67904, 54366, 51582, 51004, 51572, 53522, 54653, 50903, 52465, 54368, 50861, 69074, 67904, 51539, 79803, 54385, 62709, 54695, 50874, 51647, 63820, 50861, 69074, 67904, 51539, 52543, 50874, 51621, 79803, 50874, 51528, 51582, 55712, 56127, 79590, 50928, 79148, 51916, 53995, 53405, 50871, 51277, 50877, 51277, 50876, 51328, 79590, 50982, 79148, 69254, 52465, 51987, 53109, 79590, 50928, 79148, 52223, 60149, 79590, 50928, 79148, 54902, 51582, 55712, 54974, 50861, 69074, 67904, 50829, 79590, 51004, 79148, 51833, 53995, 53196, 79590, 50928, 79148, 63972, 52465, 51987, 53439, 79590, 50928, 79148, 51539, 51693, 57267, 69074, 67904, 50829, 79590, 50928, 79148, 54902, 51582, 66065, 79590, 50908, 79148, 51916, 53522, 54653, 79590, 50928, 79148, 63972, 71746, 54368, 79590, 50908, 79148, 58257, 51833, 79803, 54385, 79590, 50908, 79148, 54880, 67893, 71746, 54695, 59835, 79590, 50928, 79148, 52348, 63820, 79590, 50908, 79148, 59607, 52465, 52543, 58223, 79590, 50928, 79148, 51916, 79803, 50874, 51528, 51582, 55712, 50825, 51154, 60130, 51113, 60130, 51093, 60130, 51402, 53995, 53405, 50871, 61299, 62088, 57670, 71746, 51987, 53109, 50903, 51833, 60149, 52243, 51610, 71746, 55712, 54974, 50871, 61299, 62088, 51464, 53995, 53196, 50903, 51833, 51987, 50825, 51556, 51693, 57019, 61299, 62088, 54534, 51582, 51004, 51572, 53522, 54653, 50903, 71746, 54368, 50871, 61299, 62088, 57670, 51833, 79803, 54385, 52243, 51610, 71746, 54695, 50874, 51647, 63820, 50871, 61299, 62088, 50834, 62278, 50908, 79590, 50367, 51502, 51833, 52543, 58223, 62278, 50928, 79590, 52771, 79803, 50874, 50799, 62278, 50908, 79590, 59275, 51582, 55712, 56127, 62278, 50928, 79590, 52748, 53995, 53405, 50956, 51423, 74091, 50906, 51337, 62278, 50891, 79590, 69254, 71746, 51987, 53109, 62278, 50870, 79590, 80208, 51833, 60149, 62278, 50870, 79590, 55047, 67893, 71746, 55712, 54974, 50871, 61299, 62088, 50834, 62278, 50870, 79590, 69254, 71746, 53995, 53196, 62278, 50891, 79590, 69254, 51833, 51987, 53439, 62278, 50870, 79590, 69254, 71746, 51693, 57019, 61299, 62088, 50834, 62278, 50891, 79590, 55047, 67893, 71746, 66065, 62278, 50863, 79590, 67310, 71746, 53522, 54653, 62278, 50870, 79590, 69254, 71746, 54368, 65778, 50863, 66600, 67310, 51833, 79803, 54385, 52243, 51610, 71746, 54695, 50874, 51647, 63820, 50903, 52465, 52543, 58223, 50777, 50301, 52121, 50791, 79803, 50874, 51528, 51582, 55712, 50825, 51088, 60130, 51165, 60130, 51107, 60130, 51402, 53995, 53405, 50861, 69074, 67904, 64429, 52465, 51987, 50825, 51510, 51693, 52389, 51582, 55712, 54974, 50861, 61752, 67904, 51539, 53995, 53196, 50903, 52465, 51987, 50825, 51556, 51693, 57267, 69074, 67904, 54366, 51582, 51004, 51572, 53522, 54653, 50903, 71746, 54368, 50861, 69074, 67904, 64429, 51833, 79803, 54385, 52243, 51610, 71746, 54695, 50874, 51647, 63820, 50861, 69074, 67904, 64429, 52465, 52543, 50874, 51621, 79803, 50874, 51528, 51582, 55712, 56127, 79590, 50928, 79148, 51916, 53995, 53405, 50871, 51277, 50877, 51277, 50876, 51328, 79590, 50982, 79148, 69254, 52465, 51987, 53109, 79590, 50928, 79148, 52223, 60149, 79590, 50928, 79148, 54902, 51582, 55712, 54974, 50861, 69074, 67904, 50829, 79590, 51004, 79148, 51833, 53995, 53196, 79590, 50928, 79148, 63972, 52465, 51987, 53439, 79590, 50928, 79148, 51539, 51693, 57267, 69074, 67904, 50829, 79590, 50928, 79148, 54902, 51582, 66065, 79590, 50908, 79148, 51916, 53522, 54653, 79590, 50928, 79148, 63972, 71746, 54368, 79590, 50908, 79148, 58257, 51833, 79803, 54385, 79590, 50908, 79148, 54880, 67893, 71746, 54695, 59835, 79590, 50928, 79148, 52348, 63820, 79590, 50908, 79148, 59607, 52465, 52543, 58223, 79590, 50928, 79148, 51916, 79803, 50874, 51528, 51582, 55712, 50825, 51154, 60130, 51113, 60130, 51093, 60130, 51402, 53995, 53405, 50871, 61299, 62088, 57670, 71746, 51987, 53109, 50903, 51833, 60149, 52243, 51610, 71746, 55712, 54974, 50871, 61299, 62088, 51464, 53995, 53196, 50903, 51833, 51987, 50825, 51556, 51693, 57019, 61299, 62088, 54534, 51582, 51004, 51572, 53522, 54653, 50903, 71746, 54368, 50871, 61299, 62088, 57670, 51833, 79803, 54385, 52243, 51610, 71746, 54695, 50874, 51647, 63820, 50871, 61299, 62088, 50834, 62278, 50908, 79590, 50367, 51502, 51833, 52543, 58223, 62278, 50928, 79590, 52771, 79803, 50874, 50799, 62278, 50908, 79590, 59275, 51582, 55712, 53246, 61252, 62278, 50928, 79590, 52748, 53995, 53405, 50956, 51423, 74091, 50906, 51337, 62278, 50891, 79590, 52465, 51987, 53246, 51693, 50423, 62278, 50870, 79590, 52771, 68509, 52639, 62278, 50870, 79590, 55047, 51582, 55712, 53246, 57845, 50871, 61299, 62088, 50834, 62278, 50870, 79590, 52465, 53995, 53196, 62278, 50891, 79590, 69254, 51833, 51987, 53439, 62278, 50870, 79590, 52465, 68509, 52445, 50437, 51070, 54203, 50871, 61299, 62088, 50834, 62278, 50891, 79590, 55047, 51582, 54425, 54905, 62278, 50863, 79590, 52348, 53977, 53114, 62278, 50870, 79590, 52465, 52909, 53528, 65778, 50863, 66600, 52348, 68509, 52743, 65010, 59031, 54359, 51874, 51363, 52243, 52054, 50984, 53028, 55712, 50825, 51088, 60130, 51165, 60130, 51107, 60130, 51402, 53995, 53405, 52020, 50977, 56278, 50825, 51510, 60149, 52401, 50866, 72050, 75310, 53199, 55712, 68012, 53995, 53196, 50903, 51833, 51987, 53439, 52490, 51363, 50791, 51693, 51450, 51582, 51004, 51572, 53522, 54653, 52505, 50959, 51471, 51618, 79803, 54385, 52401, 51212, 72050, 75310, 53199, 54695, 50874, 51647, 63820, 50903, 51833, 54794, 51874, 51363, 50791, 51693, 51528, 51582, 55712, 56127, 79590, 50928, 79148, 51916, 53995, 53405, 79590, 50982, 79148, 50891, 52020, 50977, 56278, 53109, 79590, 50928, 79148, 52223, 60149, 79590, 50928, 79148, 50837, 52401, 50866, 72050, 75310, 53199, 55712, 54974, 79590, 51004, 79148, 51833, 53995, 53196, 79590, 50928, 79148, 63972, 51833, 51987, 53439, 79590, 50928, 79148, 50829, 52490, 51363, 50791, 64235, 79590, 50928, 79148, 54902, 51582, 66065, 79590, 50908, 79148, 51916, 53522, 54653, 79590, 50928, 79148, 50837, 52505, 50959, 67534, 79590, 50908, 79148, 51833, 79803, 54385, 79590, 50908, 79148, 50825, 52401, 51212, 72050, 75310, 53199, 54695, 59835, 79590, 50928, 79148, 52348, 63820, 79590, 50908, 79148, 59607, 51833, 54794, 79590, 50928, 79148, 50837, 51874, 51363, 50791, 51693, 51528, 51582, 55712, 50825, 51154, 60130, 51113, 60130, 51093, 60130, 51402, 53995, 53405, 52020, 50977, 56278, 50825, 51510, 60149, 52401, 50866, 72050, 75310, 53199, 55712, 68012, 53995, 53196, 50903, 51833, 51987, 53439, 52490, 62647, 51693, 51450, 51582, 51004, 51572, 53522, 54653, 52505, 50959, 51471, 51618, 79803, 54385, 52401, 51212, 72050, 75310, 53199, 54695, 50874, 51647, 63820, 62278, 50908, 79590, 50367, 51502, 51833, 54794, 62278, 50928, 79590, 50908, 51874, 51363, 50791, 51693, 50799, 62278, 50908, 79590, 59275, 51582, 55712, 56127, 62278, 50928, 79590, 52748, 53995, 53405, 62278, 50891, 79590, 50891, 52020, 50977, 56278, 53109, 62278, 50870, 79590, 52771, 60149 ]
[ 0, 250, 20902, 15855, 13305, 2125, 19, 10, 3495, 2712, 6, 278, 11, 381, 3694, 8, 702, 23, 41, 12447, 1001, 20889, 4, 20, 15229, 7630, 6568, 41, 20425, 8, 32076, 6711, 6, 19, 15352, 30054, 2301, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 20, 204, 73, 306, 86, 6543, 4719, 5, 2214, 16335, 25, 24, 17384, 5, 33215, 16739, 9, 3676, 406, 6, 1918, 6, 3676, 406, 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 ]	[ 56236, 51708, 50810, 51119, 52829, 51489, 52829, 51578, 51801, 50417, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52461, 50971, 52537, 55266, 52537, 53450, 51837, 50971, 51708, 57250, 52537, 53513, 53519, 50971, 52537, 55167, 52537, 53614, 52778, 50971, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 50844, 52778, 54626, 60310, 56936, 52537, 54194, 53519, 50971, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 51578, 50971, 52537, 55266, 52537, 53450, 52461, 50971, 51708, 57250, 52537, 53513, 51837, 50971, 52537, 55167, 52537, 53614, 52461, 50971, 60310, 58709, 52537, 53783, 51837, 50971, 52537, 55876, 52537, 54004, 52461, 50971, 60310, 56936, 52537, 54194, 51516, 50971, 52537, 56569, 52537, 50844, 64680, 50810, 51153, 52829, 51516, 52829, 51837, 51801, 50417, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 50810, 51099, 52829, 51275, 52829, 51516, 52337, 50417, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52461, 50971, 52537, 55266, 52537, 53450, 51837, 50971, 51708, 57250, 52537, 53513, 53519, 50971, 52537, 55167, 52537, 53614, 52778, 50971, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 50844, 52778, 54626, 60310, 56936, 52537, 54194, 53519, 50971, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 51578, 50971, 52537, 55266, 52537, 53450, 52461, 50971, 51708, 57250, 52537, 53513, 51837, 50971, 52537, 55167, 52537, 53614, 52461, 50971, 60310, 58709, 52537, 53783, 51837, 50971, 52537, 55876, 52537, 54004, 52461, 50971, 60310, 56936, 52537, 54194, 51516, 50971, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52461, 50971, 52537, 55266, 52537, 53450, 51837, 50971, 51708, 57250, 52537, 53513, 53519, 50971, 52537, 55167, 52537, 53614, 52778, 50971, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 50844, 52778, 54626, 60310, 56936, 52537, 54194, 53519, 50971, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 51578, 50971, 52537, 55266, 52537, 53450, 52461, 50971, 51708, 57250, 52537, 53513, 51837, 50971, 52537, 55167, 52537, 53614, 52461, 50971, 60310, 58709, 52537, 53783, 51837, 50971, 52537, 55876, 52537, 54004, 52461, 50971, 60310, 56936, 52537, 54194, 51516, 50971, 52537, 56569, 52537, 50844, 56236, 51708, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 50844, 52040, 50912, 51198, 53720, 52537, 50844, 52040, 50912, 51198, 54123, 60310, 50844, 51280, 50851, 51232, 57366, 52537, 50844, 51280, 50912, 51232, 54653, 51232, 50941, 51099, 50886, 52537, 55876, 52537, 54004, 51232, 76423, 50867, 60310, 56936, 52537, 54194, 51119, 50941, 51153, 50886, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 50844, 51232, 50912, 51119, 56149, 52537, 50844, 51232, 50912, 51119, 54123, 60310, 50844, 51119, 50851, 51153, 57366, 52537, 50844, 51119, 50912, 51153, 53086, 51119, 50941, 51153, 50886, 52537, 55876, 52537, 54004, 73134, 51429, 50867, 60310, 56936, 52537, 54194, 51198, 50941, 51099, 50886, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 50844, 52040, 50912, 51198, 56149, 52537, 50844, 52040, 50912, 51198, 54123, 60310, 50844, 51280, 50851, 51232, 57366, 52537, 50844, 51280, 50912, 51232, 54653, 51232, 50941, 51099, 50886, 52537, 55876, 52537, 54004, 51232, 76423, 50867, 60310, 56936, 52537, 54194, 51119, 50941, 51153, 50886, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 50844, 51232, 50912, 51119, 56149, 52537, 50844, 51232, 50912, 51119, 54123, 60310, 50844, 51119, 50851, 51153, 57366, 52537, 50844, 51119, 50912, 51153, 53086, 51119, 50941, 51153, 50886, 52537, 55876, 52537, 54004, 73134, 51429, 50867, 60310, 56936, 52537, 54194, 51198, 50941, 51099, 50886, 52537, 56569, 52537, 50844, 61310, 56624, 52176, 54351, 52176, 55266, 52176, 53450, 51198, 57250, 52176, 53513, 52176, 50844, 51144, 50912, 51119, 56149, 52176, 50844, 51099, 50912, 51429, 54123, 50632, 56387, 50844, 51119, 50851, 51153, 57366, 50632, 52176, 50844, 51119, 50912, 51153, 54653, 50632, 73134, 51429, 50886, 52176, 55876, 50631, 52176, 54004, 50631, 51232, 50941, 51099, 50867, 56387, 58305, 50631, 52176, 54194, 50631, 51144, 76423, 50886, 52176, 56569, 50631, 52176, 50844, 56236, 51198, 56624, 52176, 54351, 52176, 55266, 52176, 53450, 51198, 57250, 52176, 53513, 52176, 50844, 51144, 50912, 51119, 56149, 52176, 50844, 51099, 50912, 51429, 54123, 50632, 56387, 50844, 51119, 50851, 51153, 57366, 50632, 52176, 50844, 51119, 50912, 51153, 54653, 50632, 73134, 51429, 50886, 52176, 55876, 50631, 52176, 54004, 50631, 51198, 50941, 51099, 50867, 56387, 58305, 50631, 52176, 54194, 50631, 51232, 76423, 50886, 52176, 56569, 50631, 52176, 50844, 56236, 51708, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 50844, 51198, 50912, 51099, 56149, 52537, 50844, 51144, 50912, 51119, 54123, 60310, 50844, 51119, 50851, 51153, 57366, 52537, 50844, 51119, 50912, 51153, 54653, 73134, 51429, 50886, 52537, 55876 ]
[ 0, 250, 251, 2125, 9, 5175, 15855, 930, 6, 278, 11, 10, 155, 73, 306, 86, 6543, 8, 702, 23, 41, 12447, 1001, 20889, 4, 20, 13305, 5723, 5, 33301, 6, 7630, 14805, 10, 2933, 6, 3722, 5466, 14, 74, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 20, 15229, 16, 11, 5, 762, 9, 272, 3694, 8, 1575, 10, 33215, 16739, 9, 211, 8, 272, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 69827, 50900, 59010, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61660, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 60226, 50956, 66701, 50861, 51319, 69827, 50900, 56115, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61660, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 60226, 50956, 66701, 50861, 51319, 69827, 50900, 56115, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61036, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 51128, 61614, 66701, 50861, 51128, 75571, 50871, 62399, 50861, 62910, 50633, 50899, 58116, 50861, 51297, 56040, 61660, 50861, 57378, 50633, 50871, 62692, 50633, 50435, 50861, 75753, 50633, 55898, 72867, 50633, 50441, 50633, 50861, 51128, 50443, 50633, 61614, 75106, 50632, 50447, 50632, 50861, 74810, 50632, 69827, 50900, 59010, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61036, 50861, 58255, 50633, 50871, 59716, 50861, 64212, 50633, 50861, 63780, 50861, 60226, 50956, 66701, 50861, 51297, 69827, 50900, 56115, 50861, 58387, 50633, 50861, 58116, 50861, 61288, 50633, 50965, 61660, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 60226, 50956, 66701, 50861, 51319, 69827, 50900, 56115, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61036, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 51128, 61614, 66701, 50861, 51128, 75571, 50871, 62399, 50861, 62910, 50633, 50899, 58116, 50861, 51297, 56040, 61660, 50861, 60838, 50633, 50900, 62692, 50633, 50435, 50861, 73370, 50633, 62335, 50941, 50439, 50633, 50441, 50633, 50861, 51126, 50443, 50633, 50444, 50632, 51176, 50941, 50445, 50632, 50446, 50632, 50447, 50632, 50861, 51128, 69827, 51026, 59010, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61660, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 51297, 55989, 66701, 50861, 51319, 69827, 51026, 56115, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61660, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 51297, 55989, 66701, 50861, 51319, 69827, 51026, 56115, 50861, 64195, 50633, 50899, 63521, 50861, 61288, 50633, 50871, 61036, 50861, 57378, 50633, 50861, 59068, 50861, 60438, 50633, 50965, 63231, 50861, 60825, 50906, 57298, 50861, 51126, 75571, 50861, 64280, 50861, 58333, 50633, 50965, 58116, 50861, 51126, 53645, 61660, 50861, 56693, 50633, 50861, 62692, 50633, 50435, 50861, 70008, 50633, 64574, 72867, 50633, 50441, 50633, 50861, 51126, 50443, 50633, 55989, 75106, 50632, 50447, 50632, 50861, 74810, 50632, 69827, 51026, 59010, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61660, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 51297, 55989, 66701, 50861, 51319, 69827, 51026, 56115, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61660, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 51297, 55989, 66701, 50861, 51319, 69827, 51026, 56115, 50861, 64195, 50633, 50871, 63521, 50861, 61288, 50633, 50861, 61036, 50861, 57378, 50633, 50965, 59068, 50861, 60438, 50633, 50906, 63231, 50861, 51126, 58365, 57298, 50861, 51126, 75571, 50965, 62399, 50861, 58333, 50633, 50871, 58116, 50861, 51126, 54439, 61660, 50861, 56693, 50633, 50956, 71588, 50633, 50434, 50633, 50435, 50633, 50861, 51126, 50436, 50633, 50437, 50632, 50438, 50632, 50871, 72867, 50632, 50440, 50632, 50441, 50632, 50861, 51126, 50442, 50632, 50443, 50632, 50444, 50632, 50899, 75106, 50632, 50446, 50632, 50447, 50632, 50861, 74810, 50632, 69827, 50900, 56115, 50861, 54731, 50323, 62910, 50634, 50861, 58116, 50861, 54191, 50323, 54689, 50633, 50965, 59399, 50861, 53529, 50323, 55286, 50633, 50871, 59068, 50861, 54191, 50323, 55108, 50633, 50861, 63231, 50861, 54191, 50323, 57522, 50956, 58554, 50861, 54731, 50323, 51000, 69827, 50900, 62227, 50861, 54731, 50323, 62910, 50634, 50861, 58116, 50861, 54191, 50323, 54689, 50633, 50965, 59399, 50861, 53529, 50323, 55286, 50633, 50871, 59068, 50861, 54191, 50323, 55108, 50633, 50861, 63231, 50861, 54191, 50323, 57522, 50956, 58554, 50861, 54731, 50323, 51000, 69827, 50900, 62227, 50861, 54731, 50323, 62910, 50633, 50861, 58116, 50861, 54191, 50323, 54689, 50633, 50965, 61660, 50861, 53529, 50323, 55286, 50633, 50871, 59068, 50861, 54191, 50323, 55108, 50633, 50861, 61173, 50861, 53529, 50323, 55368, 50956, 58554, 50861, 54191, 50323, 50971, 75571, 50871, 59834, 50861, 52666, 50323, 55772, 50633, 50899, 56295, 50861, 54191, 50323, 54689, 50956, 59399, 50861, 53529, 50323, 55286, 50633, 50871, 63520, 50633, 50435, 50861, 54191, 50323, 66861, 50633, 55898, 50941, 50439, 50633, 50441, 50633, 50861, 53529, 50323, 69869, 50633, 61614, 70435, 50632, 50447, 50631, 50861, 54191, 50323, 50971, 69827, 50900, 56115, 50861, 54731, 50323, 62910, 50633, 50861, 58116, 50861, 54191, 50323, 54689, 50633, 50965, 59399, 50861, 53529, 50323, 55286, 50633, 50871, 59068, 50861, 54191, 50323, 55108, 50633, 50861, 63231, 50861, 54191, 50323, 57522, 50956, 58554, 50861, 54731, 50323, 51000, 69827, 50900, 62227, 50861, 54731, 50323, 62910, 50633, 50861, 58116, 50861, 54191, 50323, 54689, 50633, 50965, 59399, 50861, 53529, 50323, 55286, 50633, 50871, 59068, 50861, 54191, 50323, 55108, 50633, 50861, 63231, 50861, 54191, 50323, 57522, 50956, 58554, 50861, 54731, 50323, 51000, 69827, 50900, 62227, 50861, 54731, 50323, 62910, 50633, 50861, 58116, 50861, 54191, 50323, 54689, 50633, 50965, 61660, 50861, 53529, 50323, 55286, 50633, 50871, 59068, 50861, 54191, 50323, 55108, 50633, 50861, 61173, 50861, 53529, 50323, 55368, 50956, 58554, 50861, 54191, 50323, 50971, 75571, 50871, 59834, 50861, 52666, 50323, 55772, 50633, 50899, 56295, 50861, 54191, 50323, 54689, 50633, 50956, 59399, 50861, 52666, 50323, 53998, 50633, 50900, 64248, 50633, 50435, 50861, 53529, 50323, 65219, 50633, 50438, 50633, 50997, 66090, 50633, 50440, 50633, 50441, 50632, 50861, 52386, 50323, 64100, 50632, 50443, 50632, 50444, 50632, 51176, 66880, 50632, 50446, 50632, 50447, 50631, 50861, 52666, 50323, 66185, 50631, 50449, 50631, 69827, 51214, 50822, 51026, 60685, 50629, 50951, 51609, 50327, 51609, 50330, 51682, 50335, 54475, 50633, 50861, 56295, 50861, 53529, 50323, 54654, 50633, 50965, 56789, 50861, 52666, 50323, 54854, 50633, 50871, 57039, 50861, 53529, 50323, 54728, 50633, 50861, 61173, 50861, 54191, 50323, 50971, 55989, 57298, 50861, 54191, 50323, 50971, 69827, 51214, 50844, 51026, 59636, 50630, 50951, 51609, 50327, 51609, 50330, 51689, 50335, 54878, 50633, 50861, 56295, 50861, 53529, 50323, 54654, 50633, 50965, 56789, 50861, 52666, 50323, 54854, 50633, 50871, 57039, 50861, 53529, 50323, 54728, 50633, 50861, 61173, 50861, 54191, 50323, 50971, 55989, 57298, 50861, 54191, 50323, 50971, 69827, 51214, 50844, 51026, 59636, 50630, 50951, 51609, 50327, 51609, 50330, 51682, 50335, 54475, 50633, 50899, 56295, 50861, 53529, 50323, 54654, 50633, 50871, 56789, 50861, 52666, 50323, 54854, 50633, 50861, 55643, 50861, 53529, 50323, 54728, 50633, 50965, 59356, 50861, 52386, 50323, 54758, 50906, 56197 ]
[ 0, 250, 251, 6, 19448, 5175, 8, 25771, 2125, 19, 10, 5679, 26709, 8, 15352, 30054, 5466, 6, 4246, 21979, 8669, 6, 3152, 6757, 6, 21072, 6, 2236, 1021, 2678, 29, 6, 8, 5730, 2342, 4467, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 7212, 20889, 9, 8162, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 274, 6, 211, 119, 406, 6, 8, 163, 428, 6, 7630, 14805, 10, 3366, 219, 8, 25306, 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 ]	[ 57211, 50799, 50773, 50299, 52829, 53271, 51806, 53271, 51806, 50798, 52731, 50416, 51504, 52034, 51504, 52034, 50419, 51246, 51432, 51246, 51432, 50422, 73636, 50970, 64078, 50929, 51006, 50929, 51006, 50843, 51254, 50429, 51064, 51124, 51064, 65903, 51246, 50851, 51246, 55270, 50970, 51797, 50970, 51797, 50438, 51032, 52188, 51032, 52188, 50444, 51246, 50984, 51246, 60979, 50970, 51166, 50970, 51166, 51064, 51961, 51064, 51961, 57702, 51376, 50453, 50929, 52460, 50929, 52460, 50456, 80067, 51246, 58247, 50970, 51210, 50970, 51210, 76572, 52188, 53271, 52188, 50798, 51824, 50417, 51504, 52063, 51504, 52063, 50420, 51246, 51142, 51246, 75431, 50986, 50959, 50986, 57818, 78348, 50960, 64321, 51254, 50429, 50970, 51025, 50970, 59102, 51246, 50827, 51246, 53720, 70899, 50986, 56180, 68236, 50929, 60887, 50970, 51884, 50970, 51884, 50444, 51246, 50984, 51246, 60979, 50960, 51884, 50960, 51884, 57702, 51376, 50453, 50970, 52256, 50970, 52256, 50456, 69210, 51246, 57467, 50986, 52482, 50986, 52482, 76572, 52056, 53271, 52056, 50798, 51524, 50417, 51504, 52059, 51504, 52059, 50420, 51246, 51376, 51246, 51376, 50423, 50970, 51008, 50970, 57630, 50929, 50981, 50929, 50981, 50843, 51142, 50429, 51064, 51203, 51064, 73195, 51246, 50933, 51246, 65153, 50970, 51965, 50970, 51965, 50438, 51032, 52188, 51032, 52188, 50444, 69210, 51246, 57764, 51064, 51965, 51064, 51965, 57702, 51376, 50453, 50929, 51466, 50929, 80076, 51246, 50971, 51246, 61545, 50970, 52518, 50970, 52518, 76572, 51852, 53271, 51852, 50798, 51862, 50417, 51504, 51166, 51504, 65978, 51246, 50984, 51246, 57079, 50986, 51051, 50986, 59386, 50960, 51380, 50960, 51380, 50843, 51254, 50429, 50970, 51043, 50970, 64669, 51246, 50822, 51246, 54378, 62590, 50986, 54938, 66522, 50929, 58862, 50970, 51884, 50970, 51884, 50444, 51246, 51524, 51246, 51524, 50447, 50960, 52059, 50960, 52059, 57702, 51142, 50453, 50970, 52519, 50970, 52519, 50456, 51246, 50971, 51246, 61545, 50986, 51884, 50986, 51884, 76572, 51709, 53271, 51709, 50798, 51524, 54677, 52720, 52280, 52192, 53016, 51824, 50417, 51504, 52059, 51504, 52059, 50420, 51246, 51365, 51246, 51365, 50423, 50986, 50955, 50986, 50955, 52280, 52179, 51992, 51862, 65404, 50987, 50960, 69163, 51142, 50429, 50970, 51110, 50970, 66440, 51246, 51008, 51246, 51008, 52280, 52192, 51850, 51862, 50435, 62590, 50986, 54938, 66522, 50929, 58862, 50970, 51753, 50970, 51753, 50444, 51246, 51210, 51246, 51210, 50447, 50960, 51884, 50960, 51884, 57702, 51142, 50453, 50970, 52598, 50970, 52598, 50456, 69210, 51246, 57467, 50986, 52063, 50986, 52063, 76572, 52188, 53271, 52188, 50798, 51862, 52280, 51022, 51760, 51123, 50417, 51504, 51884, 51504, 51884, 50420, 51246, 51210, 51246, 51210, 52280, 51269, 51850, 68874, 50986, 51051, 50986, 51051, 52280, 51550, 51992, 57252, 63232, 63232, 50843, 51142, 50429, 50970, 51212, 50970, 51212, 52280, 54298, 51992, 60838, 51246, 50822, 51246, 50822, 51850, 60968, 68103, 68103, 50437, 54491, 51703, 50438, 65423, 65423, 50441, 50970, 51753, 50970, 51753, 50444, 51246, 51365, 51246, 51365, 50447, 50960, 52059, 50960, 52059, 50449, 54251, 51333, 57702, 51210, 50453, 50970, 52136, 50970, 52136, 50456, 51246, 50971, 51246, 61545, 50986, 51884, 50986, 51884, 50799, 54432, 51709, 54432, 51709, 50798, 51524, 54997, 55392, 52280, 52179, 53016, 51524, 50417, 51444, 51074, 51444, 63961, 51207, 51142, 51207, 51142, 50422, 73065, 50986, 60988, 52280, 52167, 51992, 55124, 63880, 50960, 57121, 51142, 50429, 50970, 51043, 50970, 64669, 51207, 50810, 51207, 50810, 52280, 52167, 51850, 52179, 50435, 50986, 50978, 50986, 60676, 66522, 50929, 58862, 50970, 51753, 50970, 51753, 50444, 51207, 51000, 51207, 66701, 50960, 52059, 50960, 52059, 57702, 51210, 50453, 50970, 52407, 50970, 52407, 50456, 51207, 50971, 51207, 61545, 50986, 52482, 50986, 52482, 50799, 54432, 51576, 54432, 51576, 50798, 52192, 52280, 51123, 51760, 51123, 50417, 51444, 51884, 51444, 51884, 50420, 51207, 51524, 51207, 51524, 52280, 51697, 51850, 68874, 50986, 51051, 50986, 51051, 51992, 55070, 64484, 50960, 61724, 51254, 50429, 50970, 51423, 50970, 51423, 52280, 51697, 51992, 57959, 51207, 50959, 51207, 50959, 51850, 63801, 66192, 50986, 54137, 59028, 59028, 56148, 51466, 52280, 51252, 51992, 70546, 50970, 51309, 50970, 72379, 51207, 51142, 51207, 51142, 52280, 51252, 51850, 65932, 50960, 51481, 50960, 73265, 51207, 50984, 51207, 64930, 51210, 54997, 51806, 52280, 51319, 51760, 51022, 50452, 50970, 52136, 50970, 52136, 50456, 51207, 51210, 51207, 51210, 52280, 51319, 51850, 68248, 50986, 51884, 50986, 51884, 50461, 53271, 52378, 53271, 52378, 51528, 51862, 54677, 52720, 52280, 52167, 53016, 67985, 51504, 52063, 51504, 52063, 50420, 51246, 51365, 51246, 51365, 50423, 50986, 50955, 50986, 50955, 52280, 51252, 51992, 55124, 78348, 50960, 64321, 51210, 50429, 50970, 51212, 50970, 68181, 51246, 50822, 51246, 50822, 52280, 52179, 51850, 52179, 50435, 50986, 50978, 50986, 60676, 50929, 50959, 50929, 50959, 50441, 50970, 51642, 50970, 51642, 50443, 51246, 51142, 51246, 51142, 50447, 50960, 51884, 50960, 51884, 57702, 51254, 50453, 50970, 52263, 50970, 52263, 50456, 69210, 51246, 57467, 50986, 52063, 50986, 52063, 76572, 52056, 53271, 52056, 50798, 51862, 52280, 51022, 51760, 51123, 50417, 51504, 52518, 51504, 52518, 50420, 51246, 51210, 51246, 51210, 52280, 51697, 51850, 51022, 50422, 70899, 50986, 67829, 51992, 55124, 63557, 63557, 50843, 51142, 50429, 50970, 51233, 50970, 51233, 52280, 54861, 51992, 57378, 51246, 76223, 50810, 51850, 60968, 50986, 51058, 50986, 51058, 50437, 54491, 76357, 50929, 51051, 50929, 51051, 50441, 50970, 51753, 50970, 51753, 50444, 51246, 51210, 51246, 51210, 50447, 50960, 52482, 50960, 52482, 50449, 54251, 51330, 57702, 51376, 50453, 50970, 52136, 50970, 52136, 50456, 51504, 50908, 51504, 56013, 50986, 52063, 50986, 52063, 50799, 54432, 52188, 54432, 52188, 50798, 51524, 54997, 55392, 52280, 51862, 53016, 51524, 50417, 51444, 51884, 51444, 51884, 50420, 51207, 51051, 51207, 75912, 50986, 50959, 50986, 50959, 52280, 51524, 51992, 55124, 62151, 50960, 57290, 51142, 50429, 50970, 51101, 50970, 62118, 51207, 50822, 51207, 50822, 52280, 52179, 51850, 51862, 50435, 68103, 50986, 56480, 66522, 50929, 58862, 50970, 51753, 50970, 51753, 50444, 51207, 50941, 51207, 57298, 50960, 51884, 50960, 51884, 57702, 51753, 50453, 50970, 52598, 50970, 52598, 50456, 51207, 50907, 51207, 57467, 50986, 52460, 50986, 52460, 50843, 50912, 50799, 54432, 51709, 54432, 51709, 50798, 51824, 52280, 51123, 51760, 51123, 50417, 51444, 51884, 51444, 51884, 50420, 51207, 51210, 51207, 51210, 52280, 51269, 51850, 66495, 50986, 50955, 50986, 50955, 52280, 51297, 51992, 55070, 63232, 63232, 50843, 51142, 50429, 50970, 51363, 50970, 51363, 52280, 52731, 51992, 57959, 51207, 50822, 51207, 50822, 51850, 60968, 62770, 50986, 52718, 68236, 68236, 52280, 51128, 51992, 74593, 50970, 51753, 50970, 51753, 52280, 52731, 51992, 62232, 51207, 51142, 51207, 51142, 51850, 52101, 50447, 50960, 51679, 50960, 51679, 57702, 51254, 52280, 51550, 51760, 51252, 50453, 50970, 51806, 50970, 51806, 50456, 51207, 50907, 51207, 50907, 52280, 51550, 51850, 79207, 74586, 74586, 55970, 54532, 55575, 51490, 52817, 51328 ]

[ 0, 250, 32625, 5175, 2125, 19, 10, 2842, 9, 1365, 6288, 6, 4246, 10, 13305, 483, 7513, 30, 10, 6755, 12547, 6, 3459, 9590, 6, 38668, 11212, 6, 8, 18558, 4, 20, 2214, 11498, 10, 19448, 5466, 150, 22690, 15352, 30054, 4785, 6, 7630, 14805, 10, 1472, 9, 980, 8, 3366, 12, 3341, 13408, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 26658, 23, 41, 12447, 1001, 20889, 6, 19, 5, 40286, 83, 8, 211, 19983, 1328, 5, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 50799, 51931, 51544, 50834, 51570, 53057, 51931, 50799, 51931, 51544, 50834, 51570, 58078, 55165, 50800, 55374, 51757, 52709, 50808, 53519, 51049, 57399, 52353, 50812, 52778, 72724, 51948, 50833, 51837, 55874, 51516, 50854, 51578, 66145, 63885, 51435, 68384, 76012, 51275, 52863, 51099, 50844, 51119, 50844, 51308, 66849, 51232, 50822, 51144, 63105, 51280, 50874, 51198, 58223, 51708, 50827, 51706, 64224, 51869, 50827, 52288, 50879, 63549, 51677, 52974, 51518, 53254, 52222, 54574, 51243, 52509, 52222, 54643, 52535, 51004, 50417, 51198, 50828, 51119, 50818, 51494, 50840, 51275, 55748, 51258, 52906, 53522, 53899, 50927, 54766, 52976, 51198, 50942, 51119, 50925, 51275, 51008, 51494, 58473, 51406, 52535, 51004, 53649, 57617, 50927, 56895, 53522, 54034, 51275, 50897, 51198, 50977, 51494, 50937, 51119, 50977, 50913, 50908, 51658, 51406, 52535, 66065, 50927, 55006, 57278, 76001, 51198, 51255, 51494, 51221, 51119, 51255, 51275, 51221, 50852, 53522, 54284, 51415, 55006, 53166, 51271, 51255, 60221, 50995, 52075, 51199, 50816, 51406, 52535, 51004, 54599, 51258, 56672, 53522, 50837, 53341, 50908, 52288, 50901, 56917, 51662, 52290, 51662, 53254, 52335, 53298, 52222, 53768, 52062, 54643, 52535, 51004, 50417, 51198, 50855, 58444, 51429, 50857, 51275, 53611, 51258, 52906, 53522, 53899, 50927, 56474, 52976, 51275, 50833, 51198, 50942, 51099, 50925, 51429, 63250, 51406, 52535, 51004, 53649, 57617, 50927, 51267, 50852, 53522, 54034, 51275, 50942, 51198, 50987, 51099, 50937, 51429, 50977, 50913, 50908, 51658, 51406, 52535, 51004, 53525, 52790, 57278, 51069, 50857, 51198, 50981, 51099, 51003, 51429, 50943, 51275, 50914, 50852, 53522, 54284, 51069, 55355, 53166, 63048, 63549, 50822, 52974, 55459, 51406, 52535, 63659, 60221, 50857, 52075, 54766, 58210, 51228, 56015, 53522, 54600, 62900, 50886, 51612, 54738, 50908, 52288, 50901, 60221, 51233, 52075, 51043, 53254, 51671, 54574, 51243, 52509, 51313, 54643, 52535, 51004, 50417, 76348, 51494, 67341, 51275, 55063, 51258, 52906, 53522, 53899, 75412, 63549, 50838, 52974, 51212, 50913, 52976, 51198, 50878, 51494, 50925, 51119, 50925, 51275, 62283, 51406, 52535, 51004, 53649, 57617, 50927, 51158, 63549, 53849, 52974, 53413, 50852, 53522, 54034, 51198, 50955, 51494, 50942, 51119, 50955, 51275, 63832, 50908, 51658, 51406, 52535, 66065, 50927, 55006, 57278, 51011, 50822, 51275, 50914, 51198, 51351, 51494, 51351, 51119, 51204, 50852, 53522, 54284, 51415, 50862, 52353, 50855, 54513, 50855, 55165, 50809, 59150, 55063, 53166, 51271, 51048, 52353, 51235, 54513, 51160, 55165, 51427, 59150, 51235, 50816, 51406, 52535, 51004, 54599, 51258, 56672, 53522, 54600, 52929, 50836, 52778, 50840, 55165, 50855, 65510, 56530, 50908, 52288, 50795, 52929, 51238, 52778, 51160, 55165, 51235, 65510, 51116, 53254, 51671, 53298, 52222, 53768, 52062, 54643, 52535, 51004, 50417, 76348, 51099, 50809, 51429, 50855, 51275, 54766, 51258, 52906, 53522, 53899, 70943, 52461, 50836, 52353, 50836, 53519, 50836, 58889, 55063, 52976, 51275, 50833, 51198, 50942, 51099, 50925, 51429, 50925, 52461, 51336, 52353, 51356, 53519, 51196, 58889, 51336, 50816, 51406, 52535, 51004, 53649, 57617, 76786, 50852, 53522, 54034, 51099, 50925, 51275, 50942, 51198, 50987, 51429, 75987, 50908, 51658, 51406, 52535, 66065, 50927, 54494, 52790, 57278, 75740, 51099, 51241, 51429, 51241, 51275, 51351, 51198, 51134, 50852, 53522, 50837, 53721, 53166, 51205, 59343, 51406, 52535, 51004, 54599, 58210, 51228, 60193, 52373, 50837, 53341, 50908, 52288, 51177, 63549, 51939, 52974, 51692, 53254, 52062, 54574, 51671, 52509, 52151, 54643, 52535, 51004, 50417, 51494, 69863, 50862, 51275, 50855, 51198, 53189, 51258, 52906, 53522, 53899, 50927, 56474, 52976, 51198, 50878, 51494, 50942, 51119, 50942, 51275, 62283, 51406, 52535, 51004, 53649, 57617, 50927, 51060, 50852, 53522, 54034, 51198, 50955, 51494, 50942, 51275, 50925, 51119, 75987, 50908, 51658, 51406, 52535, 66065, 50927, 53189, 57278, 51011, 50810, 51275, 51191, 51198, 51351, 51494, 51351, 51119, 51191, 50852, 53522, 54284, 51415, 53611, 53166, 51271, 50943, 60221, 51253, 52075, 64019, 51406, 52535, 51004, 54599, 51258, 56672, 53522, 50837, 53341, 50908, 52288, 50879, 56917, 51677, 52290, 51790, 53254, 53142, 53298, 52222, 53768, 52335, 54643, 52535, 51004, 50417, 51198, 50833, 64874, 76022, 51275, 53611, 51258, 52906, 53522, 53899, 75644, 50913, 52976, 51275, 50854, 51198, 50878, 51099, 50925, 51429, 62283, 51406, 52535, 51004, 53649, 57617, 50927, 51177, 50852, 53522, 54034, 51099, 50897, 51429, 50925, 51275, 50942, 51198, 50977, 50913, 50908, 51658, 51406, 52535, 66065, 50927, 54384, 52790, 57278, 74381, 51198, 51267, 51099, 51048, 51429, 50943, 73140, 50852, 53522, 50837, 53721, 53166, 51205, 50977, 63549, 50822, 52974, 53228, 51406, 52535, 63659, 60221, 50886, 52075, 55748, 58210, 51228, 66400, 53522, 54600, 62900, 50971, 51612, 73097, 52288, 50937, 60221, 51233, 52075, 51255, 55091, 51642, 52509, 51233, 54686, 51534, 54643, 52535, 51004, 50417, 51232, 58062, 50833, 51777, 50833, 51489, 56474, 51258, 52906, 53522, 53899, 75412, 63549, 50972, 52974, 50901, 54574, 50904, 52509, 51022, 53293, 56753, 52976, 68140, 71008, 51777, 50925, 51119, 58473, 51406, 52535, 51004, 53649, 57617, 50927, 51194, 63549, 51680, 52974, 51295, 54574, 51477, 52509, 51542, 53293, 51542, 50852, 53522, 54034, 51494, 51255, 51275, 51221, 52070, 51221, 51119, 51162, 50913, 50908, 51658, 51406, 52535, 66065, 50927, 52501, 57278, 50927, 52152, 53522, 50837, 53721, 53166, 51228, 51215, 51119, 50917, 51777, 50977, 51489, 50937, 51232, 50901, 51578, 50914, 52929, 50914, 52778, 50914, 58008, 51013, 52075, 51003, 55091, 51484, 52509, 51199, 54686, 51172, 50816, 51406, 52535, 51004, 54599, 51258, 56672, 53522, 50837, 53341, 50908, 54798, 51060, 51232, 50937, 51275, 50937, 64227, 51429, 50901, 51516, 51218, 52461, 51141, 52353, 51218, 62600, 50808, 62900, 52062, 51612, 51359, 53254, 51542, 53298, 51391, 53768, 51542, 54643, 52535, 51004, 50417, 58008, 50808, 52162, 52707, 57236, 68140, 51099, 50859, 51429, 50808, 51275, 50859, 56913, 51422, 52162, 56634, 53522, 53899, 51205, 50910, 52162, 52707, 52976, 52162, 56533, 51406, 52535, 64838, 52162, 52707, 57617, 51069, 51116, 51198, 51127, 51494, 51183, 51119, 50918, 51275, 51127, 52353, 51183, 52070, 51145, 51578, 51127, 53254, 51244, 54574, 51148, 52509, 51448, 50852, 53522, 50837, 53198, 50908, 51658, 51406, 52535, 51004, 53525, 52790, 57278, 51069, 52227, 53522, 50837, 53721, 53166, 51069, 55591, 51406, 52535, 63659, 51205, 52085, 58210, 51228, 56638, 52373, 50837, 53341, 50908, 53285, 50849, 51489, 51127, 51232, 51127, 51119, 51127, 51777, 51675, 56775, 51203, 62600, 50807, 51905, 51047, 51584, 51293, 52170, 52121, 57407, 51592, 55091, 52222, 52509, 52071, 54643, 52535, 51004, 53214, 51258, 52906, 53522, 53899, 51069, 71038, 52976, 58008, 50887, 56775, 59756, 51406, 52535, 51004, 53649, 57617, 74381, 58008, 51291, 56775, 51047, 50852, 53522, 50837, 53198, 50908, 51658, 51406, 52535, 66065, 51069, 50833, 51558, 55828, 57278, 77382, 68140, 51119, 50925, 51777, 50878, 51489, 50878, 51905, 57444, 53522, 54284, 51558, 55828, 53166, 79512, 51232, 50924, 76092, 51489, 50873, 51777, 51100, 51905, 55071, 51406, 52535, 63659 ]

[ 0, 250, 15855, 19834, 2125, 14, 7630, 6568, 10, 1472, 9, 9066, 9733, 8, 5386, 814, 6, 4246, 10, 6755, 12547, 6, 1515, 21305, 6, 32909, 6, 8, 15679, 642, 1543, 4, 8504, 11, 83, 3694, 19, 10, 7212, 20889, 6, 42, 765, 2214, 3905, 10, 33215, 16739, 9, 1918, 406, 6, 83, 73, 717, 6, 163, 119, 406, 428, 245, 73, 250, 6, 1918, 406, 6, 8, 274, 401, 6, 2351, 10, 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 ]

[ 57530, 50796, 50443, 55528, 50811, 52371, 50811, 52351, 63999, 52371, 63154, 52371, 56883, 52371, 53650, 52371, 50930, 52351, 52937, 52371, 50840, 50799, 52371, 55926, 52371, 57404, 52371, 50880, 52351, 58242, 52371, 65469, 52371, 57881, 52371, 57398, 52371, 50846, 52351, 58198, 52371, 63608, 52371, 50828, 52351, 60178, 52351, 60869, 52371, 54400, 52351, 56877, 55528, 50894, 51887, 50803, 52351, 57891, 52371, 50962, 50452, 52371, 59310, 52371, 69312, 52371, 58561, 52351, 50811, 50799, 52371, 61060, 52371, 52628, 52371, 54477, 52371, 50855, 52351, 52968, 52371, 57318, 52371, 58406, 52371, 62586, 52371, 50840, 52351, 57149, 52371, 65809, 52371, 50836, 52351, 52940, 52351, 59587, 52371, 63674, 52351, 58977, 55244, 51010, 52143, 50811, 52351, 62103, 55528, 51010, 52371, 64985, 55528, 50820, 52371, 60427, 52371, 65175, 52371, 50887, 52351, 50811, 51809, 52371, 53829, 52371, 55795, 52371, 53939, 55528, 50803, 51887, 50803, 52351, 54935, 52371, 56257, 52371, 68172, 52371, 64916, 52371, 50961, 52351, 60681, 52371, 58953, 52371, 50895, 52351, 53851, 52351, 64223, 52371, 63154, 52351, 56721, 55244, 50962, 52143, 50811, 52351, 62161, 53151, 50860, 51509, 51045, 50455, 55528, 50811, 52371, 71310, 52371, 50895, 53151, 50949, 51509, 56904, 52371, 50884, 53151, 50817, 51509, 50895, 51809, 51887, 50811, 55528, 50811, 54012, 50803, 51509, 50950, 52351, 60861, 52371, 76255, 52371, 55893, 54012, 50895, 51509, 55800, 52371, 50930, 53916, 50803, 51509, 53300, 55528, 50811, 51887, 50811, 52351, 52726, 52371, 51031, 53916, 50803, 51509, 64917, 52371, 55622, 51887, 50818, 53916, 50858, 51509, 74173, 52907, 50811, 51887, 50811, 54012, 50993, 51579, 51055, 52351, 59135, 55528, 50962, 52371, 50817, 51887, 59788, 52907, 50811, 52351, 52568, 52351, 56721, 55528, 50811, 52371, 62161, 52351, 57916, 70285, 51009, 52371, 50811, 52351, 57859, 52665, 51127, 51509, 60370, 52371, 66767, 51485, 59616, 52371, 50887, 51809, 52371, 64174, 52371, 69079, 52371, 59066, 52371, 65760, 52371, 52417, 57805, 51009, 52371, 50880, 53064, 51127, 50435, 52371, 55395, 52371, 54735, 52371, 52878, 52371, 55354, 52371, 57150, 52371, 57297, 52371, 62037, 51887, 50803, 55528, 51527, 51996, 51127, 50460, 52371, 50962, 51601, 52371, 59748, 52371, 50930, 50421, 52371, 72309, 52371, 70690, 52371, 58607, 52371, 58608, 57805, 51009, 52371, 62439, 51946, 51218, 50437, 52371, 53905, 52371, 53239, 52371, 54926, 52371, 53688, 52371, 56883, 52371, 57297, 51996, 60734, 52371, 50887, 51946, 61780, 70285, 51870, 52143, 56628, 52196, 51359, 51601, 52371, 61134, 52371, 69388, 52371, 68712, 52371, 65469, 52371, 62357, 52371, 59871, 52371, 62256, 51887, 50811, 57805, 51009, 50440, 52371, 51010, 50443, 52371, 65866, 52371, 55245, 52371, 57886, 52371, 53173, 52371, 56924, 52371, 50880, 51601, 52143, 50811, 70285, 50802, 53151, 50823, 51509, 51045, 50418, 52371, 50962, 50421, 52371, 50895, 70285, 50802, 53151, 50949, 51509, 58423, 52371, 50887, 53151, 50811, 51509, 73892, 70285, 50993, 51887, 50811, 54012, 50803, 51509, 50950, 50430, 52371, 51010, 50433, 52371, 60063, 54012, 50895, 51509, 73957, 52371, 50930, 53916, 50803, 51509, 62281, 59472, 51066, 51887, 60869, 52371, 51031, 53916, 50803, 51509, 79942, 52371, 71540, 51887, 50818, 51509, 55245, 53916, 50858, 50452, 59472, 50824, 51887, 55552, 54012, 50993, 51579, 51055, 52351, 52884, 52371, 50811, 51887, 54871, 52351, 56912, 52351, 50817, 50799, 52371, 58320, 52351, 55265, 55528, 50811, 52371, 50811, 51357, 50890, 51488, 50887, 52351, 50802, 50418, 56117, 53213, 52371, 50880, 66528, 54541, 58242, 52371, 50884, 51154, 50840, 52695, 58860, 52371, 50895, 51357, 50890, 51488, 50890, 51996, 58459, 52371, 50930, 66528, 51946, 50811, 52351, 57476, 52371, 50840, 51154, 50836, 52196, 62602, 52371, 50862, 51357, 50890, 51488, 50890, 53339, 59071, 52371, 50820, 51154, 70686, 52196, 60681, 52371, 50880, 51154, 50813, 52351, 60869, 53339, 57915, 52371, 50887, 51357, 50890, 51488, 50887, 52196, 57795, 52371, 50828, 51154, 50825, 53339, 62161, 52371, 50828, 66528, 52196, 59730, 52371, 50846, 51357, 50890, 51488, 50887, 53916, 50811, 52351, 58150, 52371, 50846, 51154, 50809, 53339, 50811, 50799, 52371, 50828, 66337, 51266, 50857, 53916, 50811, 52351, 63603, 52351, 55265, 52371, 50840, 51154, 50890, 53339, 60208, 52351, 52302, 55528, 50894, 51887, 50803, 51357, 50859, 51488, 50887, 51565, 50860, 52351, 59236, 52161, 57646, 52671, 53578, 52371, 50962, 51154, 50887, 52202, 57615, 52155, 50971, 52182, 53537, 52371, 50809, 51154, 61799, 52371, 50930, 51357, 50887, 51488, 67980, 52371, 50930, 51154, 50818, 52351, 57485, 51565, 59618, 52161, 58212, 52371, 50884, 51154, 50855, 52671, 57784, 52202, 52057, 52155, 73898, 52371, 50809, 51357, 50887, 51488, 50887, 52182, 59650, 52371, 50841, 51154, 58953, 52371, 50855, 51154, 50813, 52351, 59788, 52371, 50818, 51357, 50887, 51488, 66429, 52155, 50803, 52182, 62103, 52371, 50840, 51154, 50840, 52161, 50803, 51565, 58403, 52371, 50841, 51154, 62705, 52371, 50846, 51357, 50890, 51488, 50809, 52351, 52937, 52182, 50803, 52155, 56771, 52371, 50884, 51154, 50809, 78208, 50803, 51565, 62601, 52371, 50828, 51266, 60685, 67247, 52351, 61792, 52351, 52302, 52371, 50887, 51154, 50887, 52351, 53578, 55244, 50950, 52143, 50811, 51357, 50858, 51488, 50858, 56117, 50803, 52351, 51973, 52371, 50880, 55528, 51010, 51154, 50890, 54541, 54935, 52371, 50887, 55528, 50820, 51154, 50840, 52695, 52726, 52371, 50887, 51357, 50890, 51488, 68487, 51996, 54496, 52371, 50887, 51154, 50809, 52351, 58212, 51946, 59071, 52371, 50884, 51154, 50813, 52196, 60681, 52371, 50884, 51357, 50890, 51488, 50890, 53339, 59135, 52371, 50880, 51154, 50846, 52196, 57915, 51946, 62749, 55528, 50811, 51887, 50811, 51154, 50840, 53339, 50811, 52351, 58614, 52371, 51010, 51357, 50890, 51488, 50890, 52196, 59154, 52371, 50962, 51154, 50887, 53339, 57895, 52371, 64963, 66528, 53339, 59616, 53916, 56628, 52371, 50930, 51357, 50890, 51488, 50887, 52351, 50817, 51809, 52371, 50846, 51154, 50890, 53339, 60861, 52371, 50895, 51266, 50812, 51107, 50859, 53916, 50811, 52351, 60879, 52351, 57369, 52371, 50880, 51154, 50890, 53339, 53578, 52351, 60517, 55244, 50962, 52143, 52968, 51357, 50858, 51488, 50858, 51606, 50846, 52351, 61347, 52083, 58967, 52371, 50962, 55528, 50811, 51154, 50890, 51565, 53695, 52371, 50895, 51154, 50840, 52251, 65604, 51565, 56788, 52371, 50887, 51357, 50890, 51488, 66248, 52083, 53980, 55528, 50811, 51887, 50811, 51154, 50809, 51606, 50836, 52351, 61746, 52083, 59138, 52371, 51010, 51154, 60672, 51565, 53524, 52371, 50895, 51357, 50890, 51488, 50858, 52251, 61998, 51565, 60168, 52371, 50930, 51154, 61587, 52083, 65780, 51887, 50811, 55528, 50811, 51154, 50840, 51606, 50839, 52351, 55552, 52083, 59699, 52371, 51031, 51357, 50890, 51488, 68065, 51565, 61242, 52371, 50930, 51154, 50887, 52251, 56249, 51565, 63298, 51887, 50818, 51154, 59496, 52083, 50971, 51601, 51887, 50811, 52907, 50811, 51357, 78008, 51488, 50887, 51606, 50841, 52351, 60208, 52083, 67945, 55528, 50962, 52371, 50811, 51887, 50811, 51154, 55180, 51565, 60171, 52907, 50811, 51107, 50859, 51266, 50812, 52251, 50813, 52351, 63863, 51565, 50864, 52351, 60517, 55528, 50811, 52371, 50817, 51154, 54392, 52083 ]

[ 0, 250, 2635, 12, 20764, 3495, 1619, 2214, 11, 272, 538, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 30062, 620, 7085, 12280, 642, 6, 3459, 8669, 6, 8, 21979, 9590, 4, 20, 33301, 16, 1372, 8, 8520, 6, 19, 5, 40286, 211, 406, 6, 272, 6, 163, 119, 6, 8, 230, 19983, 1328, 5, 2125, 6, 61, 16, 278, 11, 204, 73, 306, 86, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57128, 50796, 50444, 51830, 58262, 51664, 50978, 52078, 59835, 51793, 54424, 51912, 51058, 51984, 57651, 51389, 50810, 50799, 51451, 51477, 51150, 51318, 50847, 51013, 51439, 73640, 62976, 51366, 51003, 50868, 54667, 56990, 52688, 51209, 51194, 66853, 51149, 50925, 50868, 58507, 58451, 51480, 50430, 63866, 51257, 57066, 51451, 50838, 51098, 54703, 57373, 61782, 57988, 51439, 54930, 51366, 52136, 51493, 51310, 50868, 51310, 50868, 51218, 51149, 51218, 50444, 51209, 51709, 50847, 57597, 67994, 52985, 51590, 51480, 50847, 56347, 51393, 50320, 62034, 51366, 51079, 51493, 56467, 50933, 62486, 50935, 50925, 50848, 51177, 51007, 51177, 76308, 51637, 51140, 51351, 50872, 51189, 51257, 51189, 50872, 72442, 51229, 50932, 50850, 57093, 51003, 51257, 60324, 51334, 51806, 50850, 54777, 51256, 51210, 51140, 56467, 50833, 51149, 50833, 63456, 51257, 50978, 50850, 58952, 50848, 51562, 51007, 51562, 50438, 51830, 52147, 75113, 50988, 78698, 51893, 74971, 51390, 52011, 50848, 55808, 56347, 51448, 50447, 51590, 57991, 51893, 51775, 52078, 59529, 55664, 70184, 51793, 54194, 51390, 50959, 51984, 55582, 50977, 59458, 50459, 51389, 50810, 50799, 51451, 52519, 51150, 51310, 50847, 50807, 51439, 57680, 62976, 51366, 54521, 50868, 54667, 56990, 53656, 53109, 51334, 51480, 50426, 51209, 57371, 50977, 51149, 50977, 50868, 58507, 58451, 51480, 50856, 54883, 51366, 64756, 70384, 51257, 58466, 51451, 50972, 51098, 55969, 57373, 61782, 60304, 51439, 58020, 51366, 52136, 51493, 51134, 50868, 51310, 50868, 51218, 51149, 51218, 50444, 51209, 51253, 50847, 57597, 67994, 52985, 51590, 51775, 50847, 56347, 51393, 50320, 62034, 51366, 51387, 51493, 55077, 50933, 62486, 50935, 50925, 50848, 51101, 51007, 51101, 76308, 51466, 51140, 51351, 50872, 51218, 51257, 51218, 50872, 72213, 53203, 51229, 51381, 50850, 57093, 51003, 51257, 78145, 52917, 51334, 51199, 50850, 59384, 53031, 51256, 51376, 51140, 55905, 50808, 51149, 50808, 63456, 51257, 50978, 50850, 58952, 50848, 51417, 51007, 51417, 50438, 51830, 52212, 75113, 50988, 78698, 51893, 51337, 50444, 51390, 53892, 50848, 55808, 56347, 51448, 50447, 51590, 76015, 51893, 51172, 52078, 55582, 55664, 70184, 51390, 50905, 51793, 53820, 51590, 50822, 51984, 50844, 59082, 59458, 50459, 51389, 50810, 50799, 51451, 51283, 51150, 51115, 50885, 51047, 52969, 53769, 53203, 51366, 51312, 50868, 54667, 56990, 56909, 51334, 51253, 50426, 51209, 51309, 50868, 58507, 58451, 51480, 53195, 65928, 58032, 53141, 58466, 51451, 51365, 51098, 54667, 57373, 61782, 52969, 53402, 51366, 52256, 51493, 51295, 50868, 51310, 53195, 51127, 50856, 52875, 51209, 56713, 57597, 67994, 57060, 51590, 51412, 50450, 51209, 51534, 50847, 56347, 51393, 50320, 51101, 50453, 51366, 54298, 50456, 51590, 50827, 51493, 56467, 50933, 62486, 50935, 50925, 76308, 54836, 51140, 51218, 50872, 51148, 50856, 53023, 51229, 61886, 57093, 51003, 51257, 51097, 52758, 59083, 54104, 51334, 51412, 50426, 51229, 51484, 50850, 50901, 52758, 55836, 54974, 51256, 54861, 50430, 52758, 59517, 51334, 50978, 51705, 58451, 50917, 51257, 50978, 50850, 67632, 53195, 58866, 51830, 52147, 51098, 51419, 50988, 51148, 53141, 51189, 50441, 51893, 72379, 51390, 52059, 50848, 55808, 56347, 51448, 50447, 51590, 51412, 50450, 51893, 51172, 50848, 55664, 67240, 55423, 51390, 51534, 51216, 52863, 51590, 50972, 51668, 55257, 50977, 59458, 52969, 58641, 54603, 51893, 50827, 50799, 51451, 51283, 51150, 51310, 50885, 51047, 50856, 52944, 51366, 51312, 50868, 54667, 56990, 50838, 53195, 54035, 53109, 51334, 51253, 50426, 51209, 51309, 50868, 58507, 58451, 51480, 52969, 51591, 50856, 52818, 51451, 51365, 51098, 55196, 57373, 58450, 51366, 52256, 51493, 51183, 50868, 51310, 50444, 51209, 56713, 57597, 67994, 57060, 51590, 51412, 50450, 51209, 51534, 50847, 56347, 51393, 50320, 80153, 55007, 51366, 54298, 50456, 51590, 50827, 70687, 62486, 50935, 59083, 50825, 76308, 54836, 51140, 51295, 50872, 51148, 50856, 53403, 51229, 61886, 57093, 51003, 51257, 63575, 53109, 51334, 51412, 50426, 51229, 51484, 50850, 59384, 55001, 51256, 54861, 50432, 51334, 50978, 51705, 58451, 50917, 51257, 50978, 50850, 50845, 53032, 54233, 51830, 52147, 51098, 51400, 50988, 51148, 55493, 51241, 50816, 53349, 54656, 51893, 72379, 51390, 52059, 50848, 55808, 56347, 51448, 50447, 51590, 51412, 50450, 51893, 51172, 51098, 55582, 55664, 63097, 53864, 54859, 51390, 51534, 51216, 50833, 53032, 52863, 51590, 50972, 51668, 50987, 59082, 59458, 52758, 51654, 54794, 51893, 50827, 50799, 51451, 51283, 51150, 51127, 50885, 51047, 54890, 71382, 53889, 52748, 53403, 51366, 51312, 50868, 54667, 56990, 55974, 53796, 54951, 51334, 51253, 50426, 51209, 51309, 50868, 58507, 58451, 51480, 50816, 52223, 52767, 51451, 51365, 50847, 57373, 50959, 51895, 50969, 52904, 51366, 52256, 51493, 51391, 50868, 51310, 50816, 54412, 53114, 51209, 56713, 57597, 67994, 55974, 52748, 54673, 51590, 51412, 50450, 51209, 51534, 50847, 56347, 51393, 50320, 51101, 51927, 50969, 56597, 51366, 54298, 50456, 51590, 50827, 51493, 57371, 50933, 62486, 50935, 62283, 52465, 50837, 76308, 54836, 51140, 51351, 50872, 51148, 50816, 54412, 54366, 53403, 51229, 61886, 57093, 51003, 51257, 62877, 53796, 53899, 51334, 51412, 50426, 51229, 51484, 50850, 57353, 52223, 54974, 51256, 54861, 53032, 57356, 51334, 50978, 51140, 56990, 50917, 51257, 50978, 50850, 50845, 51927, 50969, 55799, 54182, 52729, 51830, 52147, 51098, 51221, 50988, 51148, 55493, 51191, 51248, 50969, 65649, 51893, 72379, 51390, 52059, 50848, 55808, 56347, 51448, 50816, 52771, 54284, 51590, 51412, 50450, 51893, 51172, 51098, 59529, 55664, 63097, 52223, 55007, 51390, 51534, 51216, 50810, 53032, 52863, 51590, 50972, 51668, 55257, 50977, 59458, 52758, 54792, 52771, 54600, 51893, 50827, 50799, 51451, 51283, 51150, 51189, 50885, 51047, 53195, 51692, 51927, 50969, 79693, 53227, 51366, 51312, 50868, 54667, 56990, 50838, 51895, 50969, 58362, 51334, 51253, 50426, 51209, 51309, 50868, 58507, 58451, 51480, 50816, 52348, 53031, 51451, 51365, 51098, 56785, 57373, 63445, 52465, 53018, 51366, 52256, 51493, 51391, 50868, 51310, 50816, 56402, 53027, 51209, 56713, 57597, 67994, 55974, 53600, 54914, 51590, 51412, 50450, 51209, 51534, 50847, 56347, 51393, 50320, 51101, 53195, 54494, 52348, 64125, 52758, 57168, 51366, 54298, 50454, 53032, 55370, 51590, 50827, 51493, 56467, 50933, 62486, 50935, 50925, 52758, 50873, 51248, 50969, 56240, 50835, 76308, 54836, 51140, 51351, 50872, 51148, 52758, 50854, 51248, 50969, 79693, 56390, 53032, 51397, 50420, 51229, 61886, 57093, 51003, 51257, 51097, 52029, 50969, 56016, 51334, 51412, 50426, 51229, 51484, 50850, 57353, 52348, 55001, 51256, 54861, 50432, 51334, 50978, 51140, 59985, 50917, 51257, 50978, 50850, 56649, 52348, 54902, 52766, 51098, 51178, 50988, 51148, 50816, 52748, 55262, 51893, 72379, 51390, 52059, 50848, 55808, 56347, 80174, 53396, 52771, 54284, 51590, 51412, 50450, 51893, 51172, 52078, 50844, 50848, 55664, 63097, 52223, 55007, 51390, 51534, 51793, 53820, 51590, 50972, 51984, 55582, 50977, 59458, 50798, 53396, 52465, 54794, 51389, 50854, 50799, 51451, 51283, 51150, 51148, 50885, 51047, 52969, 51048, 51567, 61619, 53754, 54412, 53403, 51366, 51312, 50868, 54667, 56990, 55974, 53796, 54951, 51334, 51253 ]

[ 0, 250, 765, 6, 30389, 12, 20764, 15855, 2125, 19, 10, 2842, 9, 19834, 27456, 6, 4246, 1076, 560, 31365, 25999, 6, 3459, 8669, 6, 38668, 9590, 6, 8, 38668, 21072, 6, 7630, 14805, 10, 1372, 8, 15352, 30054, 6711, 10686, 13, 3541, 6, 2365, 9629, 6, 50, 28845, 6, 278, 11, 5, 762, 9, 272, 3694, 19, 10, 33215, 13931, 9, 274, 6, 230, 119, 6, 8, 211, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 57636, 50825, 53386, 51172, 50769, 50299, 50825, 64375, 53004, 57636, 58990, 54641, 51006, 51547, 51006, 51229, 51006, 57636, 50933, 57636, 51277, 50769, 50307, 61924, 58220, 50864, 50769, 50299, 57004, 51547, 50827, 51229, 50827, 57636, 50825, 56292, 50827, 50769, 50307, 61284, 54641, 51006, 56227, 50825, 56227, 51006, 50769, 50299, 50825, 55369, 56819, 51547, 50864, 51229, 50864, 50769, 50307, 67552, 58220, 50864, 58625, 51006, 58625, 51172, 50769, 50299, 50825, 55369, 53528, 54641, 51006, 51547, 50933, 51229, 50933, 55369, 50825, 50769, 50307, 57186, 58220, 50864, 57636, 50825, 57636, 51006, 50769, 50299, 50825, 55369, 53217, 50769, 50307, 65241, 54103, 51172, 57636, 50825, 53386, 51172, 50769, 50299, 50825, 55369, 50825, 51809, 57636, 50825, 55369, 58092, 54641, 51006, 51547, 51006, 51229, 51006, 57636, 50933, 57636, 51277, 55369, 50825, 50769, 50307, 63726, 58220, 51172, 50769, 50299, 50825, 55369, 58032, 51547, 50864, 51229, 50864, 57636, 50825, 56292, 50864, 50769, 50307, 52739, 56227, 50825, 56227, 51006, 50769, 50299, 50825, 55369, 53439, 51547, 50827, 51229, 50827, 50769, 50307, 53945, 54641, 51006, 58625, 51006, 58625, 51172, 50769, 50299, 50825, 55369, 53114, 51547, 50827, 51229, 50827, 55369, 50825, 50769, 50307, 58914, 54641, 51006, 57636, 50825, 57636, 51006, 50769, 50299, 50825, 55369, 64125, 50769, 50307, 68926, 51831, 51006, 57636, 50825, 53386, 51172, 50769, 50299, 50825, 55369, 59025, 52376, 51006, 57636, 50825, 55369, 50825, 52478, 52770, 51006, 51547, 51006, 51229, 51006, 57636, 50827, 57636, 50838, 55369, 50825, 50769, 50307, 55470, 52457, 51006, 50769, 50299, 50825, 55369, 52641, 51547, 50864, 51229, 50864, 57636, 50825, 56292, 50864, 50769, 50307, 54889, 54103, 51172, 56227, 50825, 56227, 51006, 50769, 50299, 50825, 55369, 53031, 51547, 50864, 51229, 50864, 50769, 50307, 63221, 58625, 51006, 58625, 51172, 50769, 50299, 50825, 55369, 62969, 54641, 51006, 51547, 50933, 51229, 50933, 55369, 50825, 50769, 50307, 66880, 58220, 51172, 57636, 50825, 57636, 51006, 50769, 50299, 50825, 55369, 59361, 50769, 50307, 62970, 57636, 50825, 53386, 51172, 50769, 50299, 50825, 55369, 53217, 54641, 51006, 57636, 50825, 55369, 50825, 50799, 51547, 51006, 51229, 51006, 57636, 50933, 57636, 50838, 55369, 50825, 50769, 50307, 54202, 50769, 50299, 50825, 55369, 55983, 51547, 50864, 51229, 50864, 57636, 50825, 56292, 50864, 50769, 50307, 63074, 56227, 50825, 56227, 51006, 50769, 50299, 50825, 55369, 64640, 51547, 50864, 51229, 50864, 50769, 50307, 67825, 58625, 51006, 58625, 51172, 50769, 50299, 50825, 55369, 59051, 51547, 50933, 51229, 50933, 50769, 50307, 66090, 50769, 50302, 67552, 57636, 50825, 57636, 51006, 50769, 50296, 53086, 50769, 50307, 54043, 57636, 50825, 53386, 51172, 50769, 50299, 50825, 64375, 55371, 57636, 57110, 54641, 51006, 51547, 51006, 51229, 51006, 57636, 50933, 57636, 50838, 50769, 50307, 50864, 51809, 58220, 50864, 50769, 50299, 61732, 51547, 50864, 51229, 50864, 57636, 50825, 56292, 50864, 50769, 50307, 65127, 54641, 51006, 56227, 50825, 56227, 51006, 50769, 50299, 50825, 55369, 59768, 51547, 50864, 51229, 50864, 50769, 50307, 62763, 58220, 50864, 58625, 51006, 58625, 51172, 50769, 50299, 50825, 55369, 53031, 54641, 51006, 51547, 50933, 51229, 50933, 55369, 50825, 50769, 50307, 53945, 58220, 50864, 57636, 50825, 57636, 51006, 50769, 50299, 50825, 55369, 54905, 50769, 50307, 53086, 54103, 51172, 57636, 50825, 53386, 51172, 50769, 50299, 50825, 55369, 57723, 57636, 50825, 55369, 59713, 54641, 51006, 51547, 51006, 51229, 51006, 57636, 50933, 57636, 50838, 55369, 50825, 50769, 50307, 62495, 58220, 51172, 50769, 50299, 50825, 55369, 50825, 51601, 51547, 50864, 51229, 50864, 57636, 50825, 56292, 50864, 50769, 50307, 73416, 56227, 50825, 56227, 51006, 50769, 50299, 50825, 55369, 52944, 51547, 50864, 51229, 50864, 50769, 50307, 55470, 54641, 51006, 58625, 51006, 58625, 51172, 50769, 50299, 50825, 55369, 54974, 51547, 50933, 51229, 50933, 55369, 50825, 50769, 50307, 59816, 54641, 51006, 57636, 50825, 57636, 51006, 50769, 50299, 50825, 55369, 57514, 50769, 50307, 75325, 51831, 51006, 57636, 50825, 53386, 51172, 50769, 50299, 50825, 55369, 57013, 52376, 51006, 57636, 50825, 55369, 58351, 52770, 51006, 51547, 51006, 51229, 51006, 57636, 50933, 57636, 50838, 55369, 50825, 50769, 50307, 54232, 52457, 51006, 50769, 50299, 50825, 55369, 54026, 51547, 50827, 51229, 50827, 57636, 50825, 56292, 50827, 50769, 50307, 50864, 50799, 54103, 51172, 56227, 50825, 56227, 51006, 50769, 50299, 50825, 55369, 56127, 51547, 50864, 51229, 50864, 50769, 50307, 53004, 58625, 51006, 58625, 51172, 50769, 50299, 50825, 55369, 58990, 54641, 51006, 51547, 50933, 51229, 50933, 55369, 50825, 50769, 50307, 61924, 58220, 51172, 57636, 50825, 57636, 51006, 50769, 50299, 50825, 55369, 57004, 50769, 50307, 61284, 57636, 50825, 53386, 51172, 50769, 50299, 50825, 55369, 59144, 54641, 51006, 57636, 50825, 55369, 53528, 51547, 51006, 51229, 51006, 57636, 50933, 57636, 51277, 55369, 50825, 50769, 50307, 57186, 50769, 50299, 50825, 55369, 53217, 51547, 50864, 51229, 50864, 57636, 50825, 56292, 50864, 50769, 50307, 65241, 56227, 50825, 56227, 51006, 50769, 50299, 50825, 55369, 56834, 51547, 50864, 51229, 50864, 51809, 54103, 50864, 58625, 51006, 58625, 51172, 50769, 50307, 51006, 50421, 54103, 50827, 51547, 50933, 51229, 50933, 50769, 50307, 63726, 54103, 50864, 57636, 50825, 57636, 51006, 50769, 50307, 53052, 54103, 50864, 59732, 50825, 56287, 51172, 50769, 50299, 50825, 64375, 52788, 59732, 53114, 54103, 51283, 51256, 51006, 51590, 51006, 51390, 51006, 59732, 50827, 59732, 50838, 50769, 50307, 58914, 50769, 50299, 64125, 51256, 50864, 51590, 50864, 51390, 50864, 59732, 50825, 58858, 50864, 50769, 50307, 68926, 57636, 50825, 57636, 51006, 50769, 50299, 50825, 55369, 57077, 51256, 50827, 51590, 50827, 51390, 50827, 50769, 50307, 62495, 64168, 51006, 64168, 51172, 50769, 50299, 50825, 55369, 50825, 52478, 51256, 50827, 51590, 50827, 51390, 50827, 55369, 50825, 50769, 50307, 55470, 54641, 51006, 59732, 50825, 59732, 51006, 50769, 50299, 50825, 55369, 52641, 50769, 50307, 54889, 54103, 51006, 59732, 50825, 56287, 51172, 50769, 50299, 50825, 55369, 56446, 54641, 50864, 59732, 50825, 55369, 62969, 54103, 51006, 51256, 51006, 51590, 51006, 51390, 51006, 59732, 50933, 59732, 50838, 55369, 50825, 50769, 50307, 66880, 54641, 50827, 50769, 50299, 50825, 55369, 59361, 51256, 50864, 51590, 50864, 51390, 50864, 59732, 50825, 58858, 50864, 50769, 50307, 62970, 54103, 51006, 57636, 50825, 57636, 51006, 50769, 50299, 50825, 55369, 57098, 51256, 50864, 51590, 50864, 51390, 50864, 50769, 50307, 53176, 54641, 50864, 64168, 51006, 64168, 51172, 50769, 50299, 50825, 55369, 50825, 76308, 50933, 51590, 50933, 51390, 50933, 55369, 50825, 50769, 50307, 54202, 54641, 51006, 59732, 50825, 59732, 51006, 50769, 50299, 50825, 55369, 55983, 50769, 50307, 63074, 51831, 51006, 59732, 50825, 56287, 51172, 50769, 50299, 50825, 55369, 59277, 52376, 51006, 59732, 50825, 55369, 59051, 52770, 51006, 51256, 51006, 51590, 51006, 51390, 51006, 59732, 50933, 59732, 50838, 55369, 50825, 50769, 50307, 64524, 54103, 50827, 50769, 50299, 50825, 55369, 53114, 51256, 50864, 51590, 50864, 51390, 50864 ]

[ 0, 250, 15352, 30054, 1619, 3495, 2214, 4246, 13305, 6, 21979, 8669, 6, 6755, 12547, 6, 38668, 22052, 6, 8, 21979, 9590, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 2351, 10, 1372, 8, 19448, 5466, 19, 33558, 223, 34693, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 50796, 73545, 52445, 55746, 51154, 50911, 53733, 51388, 55014, 51173, 51783, 51388, 50427, 51201, 51100, 50431, 51088, 55214, 51182, 51060, 53370, 50893, 55931, 50893, 51555, 51388, 50437, 51113, 78590, 51284, 51060, 58714, 51158, 53818, 51060, 51584, 51388, 50443, 51093, 68247, 51304, 51121, 59327, 51173, 53511, 51192, 51567, 51388, 50447, 51289, 69458, 64069, 66070, 51107, 51158, 54638, 51173, 51612, 51388, 51289, 65449, 51384, 51100, 50455, 63597, 65847, 51201, 50967, 51690, 51177, 55014, 51175, 52037, 51388, 51289, 50821, 54389, 51059, 50868, 51091, 51266, 51161, 72467, 51585, 56140, 51585, 52033, 51151, 73789, 51711, 51151, 52075, 52369, 63277, 55456, 56169, 72075, 50942, 50877, 51158, 50876, 51175, 51027, 50991, 51279, 51253, 50415, 51733, 51538, 50420, 67519, 70696, 51032, 54954, 50918, 65745, 50822, 68575, 50426, 50909, 66692, 55115, 51740, 50383, 52127, 50877, 52559, 50998, 62874, 50849, 78029, 51216, 61740, 50991, 53005, 56095, 51027, 51008, 50916, 51412, 50877, 58835, 57222, 51493, 59579, 55115, 51740, 52542, 50822, 51279, 51124, 50443, 51027, 64990, 67519, 66906, 51032, 56291, 51091, 64968, 50874, 50916, 75355, 51131, 50912, 51216, 51054, 67265, 51304, 51177, 51093, 51060, 53511, 51175, 59327, 51158, 51567, 76911, 51029, 51782, 51024, 57649, 69539, 59349, 50998, 62874, 50873, 51032, 57750, 50795, 51733, 51121, 51266, 51100, 72467, 51173, 56140, 50806, 52075, 62003, 52542, 72075, 50891, 50877, 50870, 50876, 50828, 64752, 51115, 51261, 51274, 51107, 51336, 54638, 51527, 64069, 51196, 51743, 51397, 51863, 51397, 51838, 51397, 63277, 51740, 52079, 59844, 70606, 51294, 51234, 51191, 78738, 51291, 51384, 51127, 51612, 51527, 50420, 71658, 51064, 50873, 51067, 55664, 51291, 51340, 52127, 51050, 58938, 50939, 51291, 50816, 51029, 51782, 51024, 52079, 64912, 53627, 60918, 51064, 50805, 51067, 50805, 51261, 50936, 53005, 55718, 64912, 63336, 74360, 58566, 56140, 51551, 72467, 51356, 52225, 51134, 52075, 75362, 50986, 51477, 51150, 51566, 50868, 51112, 51733, 51127, 51266, 51336, 51615, 51115, 51711, 59084, 51059, 51718, 51024, 50381, 52127, 70489, 50861, 51192, 50876, 52297, 50292, 51204, 51026, 51241, 50439, 50885, 63322, 65738, 78029, 51292, 57486, 50865, 51718, 51035, 72075, 70269, 51150, 66282, 61024, 51059, 51718, 51024, 50381, 52127, 50861, 65651, 65738, 65063, 51292, 50805, 51782, 52127, 50876, 59700, 51690, 51359, 63597, 51655, 52037, 52208, 58700, 51189, 51140, 51573, 50885, 51091, 51201, 51655, 55014, 51655, 51743, 51047, 78282, 51711, 60881, 50824, 51782, 51024, 52542, 57035, 51111, 51247, 60268, 51091, 51050, 51204, 50876, 51204, 50900, 78264, 77661, 70696, 51032, 57045, 51291, 65745, 53881, 50850, 53030, 55115, 51740, 56095, 50871, 57356, 50970, 62874, 50849, 51032, 50812, 51140, 73953, 51428, 51052, 52542, 52729, 51246, 51124, 52157, 51932, 50939, 51091, 51743, 51397, 51863, 51397, 51838, 66099, 51029, 51782, 51024, 50384, 52127, 50871, 51192, 51234, 61849, 78167, 51191, 50906, 51362, 50444, 63960, 51064, 50879, 51067, 57172, 51091, 51782, 51035, 54004, 51246, 50995, 50872, 61024, 51029, 51782, 51024, 50381, 52127, 50871, 51111, 50451, 52157, 51603, 50456, 66703, 51067, 59183, 50865, 65745, 56054, 50970, 50829, 58700, 50873, 61416, 57304, 51032, 50805, 51140, 51354, 50885, 50967, 78871, 68650, 51743, 50845, 51656, 50845, 51711, 50845, 52615, 50966, 51331, 55400, 72474, 57449, 71228, 51519, 50285, 51242, 51050, 51111, 50877, 70756, 53124, 55632, 52182, 57577, 52155, 50911, 50446, 51752, 56325, 51326, 55230, 51326, 53532, 51596, 54353, 51289, 56575, 51606, 51021, 50459, 51289, 50803, 59007, 51091, 52033, 51422, 51656, 51714, 51711, 51714, 63277, 55456, 57654, 50833, 50916, 51162, 51279, 72944, 51091, 50877, 51362, 50876, 51364, 50968, 50983, 50415, 65206, 51789, 51352, 50419, 50946, 51605, 50420, 67519, 58993, 51032, 54954, 60194, 52542, 53450, 50909, 51091, 51089, 68851, 68230, 53825, 55115, 52542, 72075, 58443, 50998, 62874, 50873, 78029, 51216, 50976, 50868, 51091, 53005, 53229, 50833, 50877, 78493, 54233, 50850, 58747, 51029, 65745, 50833, 50916, 51233, 50877, 69797, 51362, 50968, 51091, 51279, 51134, 50439, 51493, 51566, 50444, 66286, 66906, 51032, 57750, 50983, 65745, 50854, 51027, 63112, 51131, 51252, 51216, 51566, 50868, 51112, 51089, 68851, 68230, 55579, 51300, 51782, 52127, 50916, 57924, 51606, 58133, 66286, 66906, 51032, 55792, 50795, 65745, 50833, 50916, 61299, 67661, 50839, 50968, 54370, 51789, 51033, 64752, 51283, 50872, 51091, 51037, 51036, 51743, 51714, 51863, 51714, 51838, 73332, 50824, 64968, 60263, 51162, 50906, 51345, 50902, 51112, 51234, 74333, 67697, 51261, 51054, 51596, 52115, 77661, 51064, 50901, 51067, 60014, 50807, 51340, 52127, 50423, 51596, 51661, 50426, 51007, 72677, 50851, 78258, 51185, 55897, 51029, 51782, 52127, 50902, 51124, 50871, 51377, 50906, 70705, 77661, 51064, 50873, 51067, 50873, 51261, 62898, 50983, 53005, 53229, 51568, 50302, 76013, 51246, 51542, 51140, 51054, 50939, 56426, 51331, 53229, 50844, 51234, 64966, 71658, 51064, 50901, 51067, 66362, 50983, 51718, 52127, 76518, 50997, 51162, 50447, 52315, 58631, 51261, 51090, 50939, 72677, 50851, 51193, 50810, 51185, 55182, 50993, 65745, 64912, 68995, 50873, 50452, 51596, 50921, 50455, 50871, 53875, 77661, 51064, 50873, 51067, 57045, 50795, 65745, 62474, 52315, 51033, 58700, 51310, 51140, 51090, 51752, 51696, 51743, 53295, 51656, 53295, 51711, 51452, 63277, 58515, 61858, 51121, 51247, 66920, 58835, 51800, 50297, 60413, 77661, 66309, 51032, 74049, 55541, 52959, 52542, 64312, 53172, 73484, 51118, 50984, 76087, 51023, 52704, 52448, 52542, 57035, 53860, 71658, 70696, 65063, 51140, 58149, 52221, 51052, 52542, 51568, 50297, 50851, 50876, 70651, 70866, 59306, 51504, 51318, 51461, 55868, 51091, 53511, 51354, 51711, 74903, 55115, 52542, 50822, 51247, 69641, 51164, 51291, 50443, 51838, 77683, 71658, 61498, 51032, 54879, 51091, 54638, 51388, 65745, 54004, 50909, 50983, 51118, 50851, 51061, 66271, 50833, 51711, 51036, 50816, 51029, 65745, 62939, 51461, 51603, 53511, 51735, 50456, 71658, 58993, 51032, 56204, 51291, 51782, 52127, 51050, 51351, 50461, 51743, 51264, 58700, 51418, 50297, 51036, 53733, 54055, 63277, 52542, 50854, 51247, 51159, 50900, 51013, 50415, 51140, 51573, 50420, 69463, 58993, 51032, 56219, 51091, 65745, 61858, 63559, 68456, 51118, 50912, 51061, 68851, 55182, 55115, 52542, 76146, 58027, 53124, 51021, 50431, 51050, 51446, 50432, 77661, 66906, 51032, 55664, 50983, 53005, 56095, 50871, 50870, 50900, 50917, 50433, 51140, 51030, 50434, 52182, 52877, 51504, 51387, 51461, 51054, 50850, 56426, 55115, 52542, 61858, 63700, 51221, 50876, 51400, 51247, 51003, 50439, 52155, 57816, 71658, 66906, 65063, 64968, 50874, 50900, 50866, 50445, 50909, 51091, 50446, 51752, 65458, 51504, 51737, 51140, 51603, 75707, 51118, 50851, 51061, 68851, 54384, 51029, 51782, 51035, 59844, 65601, 51606, 57830, 50970, 62874, 50873, 51032, 55664, 51370, 52542, 59844, 63864, 78954, 54943, 51565, 51014, 62954, 52347, 50301, 51358, 52033, 51714, 51656, 51714, 51711, 51714, 63277, 52542, 72075, 64514, 51175, 50876, 51215, 50968, 51095, 51279, 51115, 51027, 50983, 50415, 52419, 51059, 68456, 50416, 51789, 66645, 65026, 61498, 60265, 51340, 52127, 65200, 50421, 50868 ]

[ 0, 250, 32076, 8, 15352, 30054, 3495, 2214, 19, 4785, 9, 3152, 6, 4246, 10, 2382, 3459, 8669, 6, 2724, 368, 31365, 25999, 6, 326, 5638, 18026, 6, 13305, 6, 8, 21979, 8669, 4, 20, 2125, 16, 278, 11, 381, 538, 6, 19, 10, 33215, 16739, 9, 381, 6, 83, 6, 163, 406, 6, 381, 6, 8, 83, 4, 85, 11498, 10, 182, 1769, 20889, 9, 27965, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 6, 2351, 41, 17627, 17274, 8, 33558, 5466, 1328, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 67004, 50799, 52124, 50858, 51282, 50821, 51011, 67366, 55456, 51620, 52124, 51030, 51282, 51138, 77501, 51815, 56832, 52841, 52124, 50950, 51401, 51907, 53365, 50439, 51019, 51364, 50450, 52124, 50936, 51401, 50924, 52636, 53820, 51815, 50936, 52066, 50799, 52124, 50858, 52473, 50821, 51011, 50983, 51976, 51620, 52124, 51021, 52473, 50948, 77501, 51763, 54444, 52841, 52124, 50858, 51815, 62416, 51745, 52957, 58350, 52473, 69225, 51815, 52741, 52047, 52218, 56619, 50454, 54110, 50821, 51453, 64479, 52124, 50821, 50799, 52124, 72625, 50950, 51011, 51115, 51976, 51620, 52124, 50936, 51282, 51030, 77501, 51815, 57036, 52841, 52124, 50950, 51401, 53474, 53365, 50439, 51019, 51364, 50450, 52124, 50936, 51401, 51030, 52636, 53820, 51815, 50936, 52066, 50799, 52124, 50859, 52473, 50950, 51011, 50983, 51976, 51620, 52124, 50948, 52473, 51030, 77501, 51763, 54444, 52841, 52124, 50859, 51815, 62416, 51745, 52957, 62691, 50822, 51572, 73479, 52473, 57565, 51553, 58638, 51815, 53153, 52047, 53558, 79365, 55801, 61481, 54110, 50821, 51453, 64479, 52124, 50858, 71412, 50936, 52394, 51021, 52124, 51227, 51027, 51717, 51355, 50817, 51011, 67366, 55456, 56025, 50946, 61912, 53084, 50948, 54727, 51030, 50425, 51040, 55428, 50426, 53084, 50948, 54727, 50936, 51282, 50882, 51495, 73235, 51243, 50850, 50905, 51892, 50427, 51355, 53644, 52194, 50924, 52394, 55271, 59628, 50850, 51291, 50434, 50868, 52147, 50438, 52194, 51012, 52394, 51021, 51815, 51932, 51355, 52279, 53365, 50439, 51217, 51655, 51019, 51364, 50444, 54006, 50936, 53580, 58138, 54006, 51021, 53580, 50936, 51282, 50936, 51495, 50936, 52636, 53820, 53084, 50948, 54727, 50936, 51355, 50910, 52066, 50457, 50850, 51103, 50868, 54071, 50799, 54006, 51030, 53580, 50936, 52124, 51227, 50946, 51009, 51011, 50983, 51976, 56025, 50868, 53280, 50420, 53084, 50948, 54727, 63446, 54006, 50948, 53580, 50948, 51282, 50803, 51495, 73235, 61211, 51355, 51464, 53193, 53084, 50936, 54727, 65396, 51551, 50791, 59628, 50868, 71113, 54006, 51227, 53580, 51500, 51815, 71987, 51127, 51217, 51103, 51355, 50823, 51019, 51745, 52957, 55900, 50946, 52263, 50449, 51659, 52802, 52148, 50936, 53880, 50936, 51282, 50948, 51495, 51030, 57870, 50451, 50877, 74323, 52148, 50936, 53880, 73183, 51496, 50850, 55363, 53024, 52066, 50799, 54006, 50936, 53580, 50936, 52124, 50980, 51027, 51717, 50946, 51184, 51011, 51115, 51976, 56025, 50868, 52379, 50850, 61017, 51355, 75832, 52148, 50948, 53880, 50924, 50425, 51040, 55428, 50426, 54006, 51030, 53580, 51021, 51282, 50821, 51495, 76073, 51243, 51355, 51041, 53193, 54006, 51138, 53580, 54444, 52841, 53572, 50923, 52491, 50948, 52124, 51021, 51355, 52865, 53365, 50439, 51217, 51359, 51019, 51364, 50444, 52488, 51138, 52228, 51030, 51815, 60919, 54006, 50948, 53580, 50936, 51282, 50938, 51495, 50936, 51262, 54169, 56619, 50455, 50850, 53380, 50456, 53084, 50911, 54727, 73183, 51496, 51355, 51014, 52066, 50799, 54006, 50805, 53580, 50806, 52124, 50980, 50946, 51184, 51011, 50983, 51976, 56025, 50868, 79422, 51282, 50859, 51495, 73623, 61211, 51355, 51464, 53193, 51401, 54444, 52841, 51815, 57704, 51127, 51355, 50823, 51019, 51745, 52957, 55900, 51217, 57310, 52148, 50936, 53880, 51138, 51282, 63233, 53192, 51932, 51978, 51227, 51495, 50936, 51262, 53669, 56619, 50451, 50877, 74323, 51495, 51496, 51061, 51274, 52066, 50799, 55495, 50924, 52891, 50936, 51763, 51227, 51171, 51184, 50927, 51115, 51976, 56025, 51120, 51295, 50946, 52379, 50848, 61017, 51195, 75832, 53192, 50936, 51978, 54919, 55495, 50936, 52891, 73561, 50858, 51268, 50821, 51195, 51041, 60092, 51027, 67047, 57123, 55495, 50865, 52891, 54444, 52841, 55495, 50980, 52891, 50980, 52124, 51227, 51195, 52865, 53365, 50439, 51688, 51359, 51069, 51364, 50450, 55495, 51138, 52891, 50936, 71830, 51268, 52545, 50301, 58871, 51166, 51436, 54169, 56619, 50455, 50848, 53380, 50456, 55495, 50938, 52891, 51030, 51495, 51496, 51061, 51274, 51195, 51014, 52066, 50799, 53572, 50936, 52491, 51021, 51763, 51345, 51171, 51184, 50927, 50983, 51976, 56025, 50946, 71785, 55495, 51030, 52891, 58292, 53192, 50865, 51978, 73561, 50858, 51268, 50821, 51027, 50923, 51195, 51464, 60092, 50899, 55544, 55495, 50924, 52891, 56832, 52841, 53572, 50980, 52491, 51227, 52124, 51112, 51195, 50823, 51069, 51745, 52957, 55900, 51688, 51009, 50449, 51086, 55038, 52488, 50936, 52228, 73561, 50948, 51268, 53275, 50301, 50948, 51436, 53669, 56619, 50451, 50899, 77403, 52148, 50924, 53880, 51021, 51495, 51496, 51061, 51274, 52066, 50799, 55495, 50936, 52891, 50924, 51763, 51932, 51171, 51184, 51195, 50817, 50927, 51115, 51976, 56025, 51120, 51295, 50946, 52379, 50848, 61017, 50420, 53192, 51030, 51978, 57327, 55495, 50936, 52891, 73561, 50821, 51268, 51049, 60092, 51027, 67047, 51166, 51195, 53644, 55495, 50879, 52891, 54444, 52841, 55235, 51030, 52172, 51030, 52124, 50936, 51195, 52279, 53365, 50439, 51688, 51359, 51069, 51364, 50444, 53572, 50948, 52491, 50936, 51282, 55178, 55495, 51345, 52891, 51932, 51083, 50936, 51268, 51919, 50301, 58871, 51166, 57870, 50455, 50848, 53380, 50456, 51495, 51496, 51061, 51274, 51195, 50910, 52066, 73230, 50896, 52228, 51054, 51763, 50980, 51171, 51184, 50927, 50983, 51976, 56025, 50946, 79422, 51282, 50821, 51083, 50821, 51268, 50821, 51027, 50923, 51195, 51464, 60092, 50899, 50974, 51361, 52841, 52124, 50938, 51195, 50823, 51069, 51745, 52957, 55900, 51688, 57310, 51282, 50948, 50449, 51086, 51129, 51545, 52802, 71830, 51268, 51710, 50301, 50948, 57870, 50451, 50899, 77403, 52058, 51138, 58381, 50924, 51495, 51274, 51020, 51274, 52066, 50799, 55495, 50936, 52891, 50924, 51815, 51603, 51315, 51717, 51019, 51115, 51976, 56025, 51217, 51184, 51350, 75832, 55504, 50936, 52656, 51030, 50425, 51176, 55428, 50426, 55495, 50936, 52891, 50865, 51083, 50882, 51281, 50882, 51086, 51243, 50868, 50905, 51350, 51041, 53193, 55495, 50948, 52891, 53710, 59628, 50868, 51291, 50434, 51042, 52147, 50438, 55495, 50936, 52891, 50936, 54110, 51030, 51350, 52865, 53365, 50439, 51791, 51655, 51205, 51364, 50444, 55504, 50936, 52656, 51030, 51595, 58111, 55495, 51138, 52891, 50948, 51083, 50948, 51281, 50924, 51223, 54169, 51373, 53820, 55504, 50936, 52656, 50936, 51495, 51274, 51020, 51274, 51350, 51014, 52066, 50457, 50868, 51103, 51042, 54071, 50799, 55495, 50936, 52891, 51030, 51815, 50980, 51217, 51009, 51019, 50983, 51976, 56025, 51042, 53280, 50420, 55504, 50936, 52656, 66890, 55495, 50865, 52891, 50948, 51083, 50806, 51281, 53194, 50303, 61211, 51350, 51464, 53193, 55504, 51021, 52656, 50865, 50868, 51551, 50791, 59628, 51042, 71113, 53572, 51090, 52491, 50896, 54110, 70717, 51127, 51791, 51103, 51350, 50823, 51205, 51745, 52957, 55900, 51217, 52263, 50444, 51595, 58111, 51083, 50948, 51281, 50924, 51223, 53669, 56619, 50451, 50916, 74323, 53572, 51138, 52491, 51030, 51495, 51274, 51020, 51274, 50868, 69297, 53024, 52066, 50799, 55495, 50936, 52891, 50948, 51815, 51603, 51315, 51717, 51019, 51115, 51976, 56025, 51217, 51184, 51350, 75832, 55504, 50865, 52656, 50936, 50425, 51176, 55428, 50426, 55495, 50948, 52891, 51030, 51083, 50894, 51281, 50882, 51086, 51243, 50868, 50905, 51350, 51041, 53193, 53572, 50936, 52491, 56832, 59628, 50868, 51291 ]

[ 0, 250, 765, 6, 20425, 37903, 9, 15855, 930, 11, 163, 428, 3694, 6, 4246, 10, 881, 13931, 9, 274, 6, 163, 43531, 6, 8, 2060, 40286, 6, 278, 11, 10, 20902, 204, 73, 306, 86, 6543, 19, 10, 12701, 4450, 20889, 6, 7630, 14805, 10, 3344, 9, 11098, 8, 15073, 10686, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 50871, 50991, 50422, 51234, 51620, 50997, 51646, 50997, 53658, 51234, 51757, 50989, 51923, 50871, 51091, 56020, 51234, 51620, 50997, 51646, 50997, 59830, 51234, 51757, 50871, 51923, 50989, 51091, 56020, 51197, 51620, 50989, 51646, 50989, 59830, 51197, 51757, 50989, 51923, 50871, 51091, 56020, 51360, 51620, 55179, 50434, 51360, 51724, 55179, 50446, 51360, 51757, 50989, 51923, 50871, 51091, 56020, 51234, 51620, 50997, 51646, 50997, 53658, 51234, 51757, 50989, 51923, 50871, 51091, 56020, 51234, 51620, 50997, 51646, 50997, 59830, 51234, 51757, 50871, 51923, 50989, 51091, 56020, 51197, 51620, 50989, 51646, 50989, 59830, 51197, 51757, 50989, 51923, 50871, 51091, 56020, 51360, 51620, 55179, 50434, 51360, 51724, 55179, 50446, 51360, 51757, 50989, 60278, 50871, 56388, 50956, 50800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 20902, 5175, 2214, 11, 272, 538, 1575, 10, 15352, 30054, 3222, 5785, 227, 6755, 12547, 6, 20535, 2810, 6, 13305, 6, 8, 81, 9756, 8669, 6, 23396, 30, 20425, 21072, 4, 590, 10, 748, 1879, 15525, 20889, 9, 24621, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 32076, 8, 14899, 6711, 6, 442, 24, 10686, 13, 6548, 50, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 53028, 55130, 72086, 50895, 51302, 51130, 73247, 58802, 73177, 50895, 51570, 55130, 69824, 58802, 72082, 50895, 51382, 51130, 70896, 51587, 50883, 51453, 60203, 51587, 59363, 51587, 50883, 53028, 55130, 72808, 51587, 67385, 61710, 51587, 62518, 51587, 50883, 51302, 51130, 79506, 50895, 51570, 55130, 74510, 50895, 51382, 51130, 50961, 51453, 50895, 53028, 55130, 72086, 50895, 51302, 51130, 73247, 58802, 73177, 50895, 51570, 55130, 69824, 58802, 72082, 50895, 51382, 51130, 70896, 51587, 50883, 51453, 60203, 51587, 59363, 51587, 50883, 53028, 55130, 72808, 51587, 67385, 61710, 51587, 62518, 51587, 50883, 51302, 51130, 79506, 50895, 51570, 52816, 50961, 51180, 50895, 51382, 51130, 54450, 59425, 50895, 52198, 50961, 72721, 52017, 51434, 52017, 51440, 52017, 51607, 51469, 51874, 50821, 53477, 50879, 52055, 51865, 56051, 51874, 50821, 51530, 52201, 53516, 51874, 50821, 53706, 53543, 51130, 54562, 51874, 50821, 51530, 52201, 54292, 51874, 50821, 53477, 53417, 54749, 54586, 51874, 50821, 51530, 52201, 53595, 51874, 50821, 53706, 53543, 51130, 54450, 51874, 50821, 51530, 52201, 50895, 79053, 51469, 51669, 51469, 52327, 51469, 52257, 51469, 52020, 50821, 53477, 53417, 55130, 54892, 52020, 50821, 51810, 52201, 53516, 52020, 50821, 53706, 53543, 51130, 73247, 58802, 52975, 52020, 50821, 51810, 52201, 54292, 52020, 50821, 53477, 53417, 55130, 69824, 58802, 53675, 52020, 50821, 51810, 52201, 53595, 52020, 50821, 53706, 53543, 51130, 70896, 51587, 53563, 52020, 50821, 51810, 52201, 60203, 51587, 59363, 51587, 50883, 79053, 50883, 52043, 51585, 52257, 51585, 52246, 50821, 53477, 53417, 55130, 72808, 51587, 53336, 52246, 50821, 51403, 52201, 61710, 51587, 62518, 51587, 53087, 52246, 50821, 53706, 53543, 51130, 54562, 52246, 50821, 51403, 52201, 54292, 52246, 50821, 53477, 53417, 55130, 54586, 52246, 50806, 51403, 52201, 53595, 51669, 51055, 52257, 53898, 52246, 50883, 53706, 53543, 51130, 54450, 52246, 50821, 51403, 52201, 50895, 73471, 51469, 51669, 51469, 52246, 50821, 53477, 53417, 55130, 54892, 52246, 50821, 51403, 52201, 53516, 52246, 50821, 53706, 53543, 51130, 73247, 58802, 52975, 52246, 50821, 51403, 52201, 54292, 52246, 50821, 52110, 53417, 55130, 69824, 58802, 53675, 52246, 50821, 51403, 52201, 53595, 52246, 50821, 53706, 50879, 53929, 51158, 55737, 50961, 53061, 66222, 51587, 53563, 52246, 50821, 51403, 50805, 57210, 56285, 65083, 51587, 50883, 79053, 51469, 52043, 51469, 52327, 51469, 52246, 50821, 58233, 51227, 71329, 53336, 52246, 51575, 53516, 52246, 50883, 58233, 54581, 51130, 54562, 52246, 51575, 61361, 55462, 55122, 52246, 50883, 58233, 76714, 55130, 54586, 52246, 54196, 53595, 52246, 50921, 58233, 54581, 51130, 70896, 55462, 55416, 52246, 51508, 50895, 79053, 51469, 52043, 51469, 53335, 51196, 52246, 50821, 58233, 53734, 55130, 54892, 52246, 50921, 57210, 53734, 53516, 52246, 50821, 58233, 51173, 55737, 54562, 52246, 50821, 55462, 65086, 54292, 53335, 50806, 52246, 51508, 55130, 54586, 54797, 50806, 52246, 51508, 53595, 53335, 50806, 52246, 50921, 53929, 54593, 51130, 70896, 57210, 64713, 54797, 50806, 52246, 51508, 50895, 73471, 51469, 51607, 50883, 52257, 51469, 52246, 50821, 58233, 73262, 55130, 54892, 52246, 54196, 53516, 52246, 50821, 58233, 54581, 51130, 54562, 52246, 50821, 55462, 53417, 54292, 52246, 50821, 58233, 53734, 55130, 54586, 52246, 50821, 57210, 53417, 61925, 58233, 65399, 52246, 52997, 51130, 54450, 52246, 50821, 55462, 51941, 58005, 79053, 51469, 52043, 51469, 54050, 51055, 52246, 51508, 55130, 54892, 52246, 54196, 53516, 54050, 51192, 52246, 52997, 51130, 54562, 54797, 50806, 52246, 51508, 54292, 54050, 51192, 52246, 54196, 55130, 54586, 54797, 50806, 52246, 54196, 53595, 54050, 50806, 52246, 52997, 51130, 60376, 53929, 58603, 54797, 50806, 52246, 50821, 55462, 53417, 50895, 50799, 51808, 51469, 51607, 50883, 52257, 51469, 51874, 50821, 55668, 73262, 55130, 54892, 51874, 51575, 53516, 51874, 50883, 55668, 53543, 51130, 54562, 51874, 50821, 54505, 53417, 54292, 51874, 50821, 55668, 55637, 55130, 54586, 51874, 51575, 53595, 51874, 50883, 55668, 53543, 51130, 54450, 51874, 50821, 54505, 53417, 50895, 50799, 51808, 51469, 51669, 51469, 52257, 51469, 51874, 50821, 55668, 53734, 55130, 54892, 51874, 50921, 55462, 53417, 53516, 51874, 50821, 55668, 51173, 55737, 54562, 51874, 51508, 61361, 55668, 51472, 50438, 51874, 51508, 55130, 54586, 51874, 51575, 53595, 51874, 53479, 51130, 54450, 51874, 50921, 54505, 53538, 50895, 79053, 51469, 52327, 51469, 52257, 51469, 51874, 51508, 55130, 72922, 54505, 51158, 50420, 51874, 51508, 55893, 55462, 72598, 51874, 50921, 55737, 73247, 54505, 70192, 51874, 51508, 54292, 51874, 51508, 55130, 64916, 55462, 66442, 51874, 54196, 66119, 53929, 55149, 51874, 52997, 51130, 54450, 51874, 50821, 53929, 51933, 58005, 73471, 51196, 51808, 51196, 52043, 51196, 52429, 51508, 55130, 54892, 52429, 54196, 53516, 52429, 52997, 51130, 54562, 52429, 51575, 54292, 51929, 51196, 51808, 51196, 52043, 51196, 52429, 51041, 55130, 54586, 52429, 54196, 53595, 52429, 50821, 53929, 54593, 51130, 70896, 57210, 64713, 52429, 59141, 50961, 79053, 51469, 52043, 51469, 52327, 51469, 52246, 50821, 58233, 51013, 71329, 56051, 52246, 51508, 53516, 52246, 52997, 51130, 60760, 58233, 55214, 52246, 50806, 55462, 53417, 54292, 52246, 50883, 58233, 60181, 55130, 54586, 52246, 51508, 53595, 52246, 50821, 58233, 53543, 51130, 54450, 52246, 50921, 55462, 51158, 58005, 79053, 51469, 52043, 51469, 53335, 51196, 52246, 51508, 55130, 58410, 58233, 56179, 52246, 51508, 63754, 57210, 57316, 52246, 50821, 58233, 53543, 51130, 54562, 52246, 50821, 55462, 74120, 54292, 53335, 50806, 52246, 51508, 55130, 54586, 54797, 50806, 52246, 51508, 53595, 53335, 50806, 52246, 52997, 51130, 60376, 53929, 58603, 54797, 50806, 52246, 50821, 57210, 53417, 50895, 73471, 51469, 51607, 50883, 52257, 51469, 52246, 50821, 58233, 55637, 55130, 54892, 52246, 51575, 53516, 52246, 50883, 58233, 53543, 51130, 54562, 52246, 50821, 55462, 53417, 54292, 52246, 50921, 58233, 53417, 55130, 54586, 52246, 50821, 57210, 53417, 53595, 52246, 50821, 58233, 53543, 51130, 54450, 52246, 50821, 55462, 51977, 58005, 79053, 51469, 52043, 51469, 54050, 51055, 52246, 51508, 55130, 54892, 52246, 51508, 53516, 54050, 50936, 52246, 52997, 51130, 54562, 54797, 50806, 52246, 54196, 54292, 54050, 50806, 52246, 54196, 55130, 54586, 54797, 50806, 52246, 59141, 55254, 54050, 50806, 52246, 50821, 53929, 54593, 51130, 54450, 54797, 50806, 52246, 50921, 55462, 51173, 50852, 50961, 50799, 51808, 51469, 51607, 50883, 52257, 51469, 51874, 52589, 68673, 58842, 55668, 66403, 51874, 54196, 53516, 51874, 50821, 55668, 54593, 51130, 54562, 51874, 50921, 54505, 51370, 54292, 51874, 50821, 55668, 76714, 55130, 54586, 51874, 51575, 53595, 51874, 50883, 55668, 53543, 51130, 54450, 51874, 50821, 54505, 53734, 50895, 50799, 51808, 51469, 51669, 51469, 52257, 51469, 51874, 50821, 55668, 53417, 55130, 54892, 51874, 50921, 55462, 53538, 61953, 55668, 70266, 51874, 50921, 55737, 54562, 51874, 50821, 55668, 76909, 54292, 51874, 51508, 55130, 54586, 51874, 51508, 53595, 51874, 52997, 51130, 70896, 54505, 64713, 51874, 54196, 50895, 79053, 51469, 52327, 51469, 52257, 51469, 51874, 50821, 54505, 58415 ]

[ 0, 713, 14899, 3495, 2214, 6, 19, 10, 11602, 9, 19834, 2712, 6, 22750, 1626, 11098, 8, 10, 2365, 6, 33558, 16464, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 3459, 8669, 6, 21072, 6, 326, 5638, 18026, 6, 8, 2724, 368, 31365, 25999, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 132, 73, 176, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 11061, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 211, 6, 163, 119, 6, 8, 272, 35315, 1328, 5, 2125, 6, 1271, 7, 63, 33200, 8, 17627, 17274, 2574, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 50799, 51322, 52570, 51209, 52570, 51590, 52570, 51098, 52570, 52078, 52570, 51598, 53501, 51250, 52024, 51780, 52024, 51410, 51717, 51231, 51717, 51672, 76274, 60322, 51104, 55171, 52710, 53459, 50806, 51979, 52309, 53459, 50879, 51979, 55122, 53459, 50805, 51979, 52815, 53459, 50896, 51979, 57024, 53459, 50806, 51979, 50806, 50799, 55235, 51090, 52172, 67566, 53459, 50893, 51979, 55214, 53459, 51896, 51979, 51896, 50799, 51912, 52570, 51366, 52570, 51209, 52570, 51493, 52570, 51984, 52570, 51860, 52570, 51350, 52024, 51250, 52024, 52571, 51717, 51465, 51717, 51231, 76274, 60322, 51104, 53220, 53459, 50858, 51979, 57781, 53459, 50821, 51979, 52686, 53459, 50795, 51979, 51646, 53459, 50806, 51979, 52692, 53459, 51294, 51979, 51294, 50459, 53459, 50859, 51979, 50859, 50799, 55235, 50896, 52172, 53765, 53459, 50893, 51979, 55214, 53459, 51685, 51979, 51685, 50799, 51366, 52570, 51209, 52570, 51334, 52570, 51150, 52570, 52241, 54430, 51250, 52024, 51536, 52024, 51476, 51717, 51465, 51717, 51231, 76274, 60322, 51104, 54711, 53459, 50806, 51979, 52247, 53459, 50806, 51979, 52309, 53459, 50923, 51979, 58395, 53459, 51274, 51979, 51274, 50456, 53459, 50923, 51979, 50923, 50799, 60118, 50806, 53319, 52774, 53459, 50795, 51979, 51631, 55235, 51585, 52172, 51585, 50799, 51664, 52570, 51322, 52570, 51547, 52570, 51389, 52570, 51507, 54430, 51195, 52024, 51659, 52024, 51410, 51717, 51719, 51717, 51249, 76274, 60322, 51104, 54711, 55495, 50806, 52891, 52247, 55495, 50893, 52891, 55214, 55495, 50911, 52891, 56810, 55495, 50911, 52891, 56646, 55495, 51274, 52891, 51274, 50799, 53459, 50806, 51979, 52774, 53572, 50911, 52491, 56346, 55495, 51585, 52891, 51585, 51955, 51594, 52154, 55603, 50851, 53462, 55475, 55603, 51832, 59626, 53459, 51237, 51979, 51237, 52078, 50896, 51598, 51204, 51250, 51470, 51780, 51006, 51410, 53651, 51231, 53651, 51672, 53651, 50798, 60322, 51104, 55171, 64540, 62759, 56254, 77962, 51590, 50896, 51390, 50896, 51250, 52192, 51780, 50942, 50903, 50882, 51190, 51163, 55603, 54150, 51598, 54923, 51589, 70723, 51832, 50438, 53459, 51090, 51979, 51090, 51389, 50896, 51598, 69281, 60322, 51104, 54478, 51368, 53284, 62759, 56254, 51832, 50450, 51590, 50896, 51390, 50896, 51195, 50359, 51698, 50882, 51190, 51163, 55603, 54622, 51250, 51697, 51780, 54788, 51589, 70723, 51832, 66269, 50896, 51598, 68539, 60322, 51104, 54711, 51250, 51008, 51780, 50959, 51927, 51163, 56254, 77962, 53459, 50893, 51979, 50893, 51590, 51585, 51390, 51585, 51249, 51328, 51457, 51742, 60298, 54692, 55603, 54150, 53459, 50923, 51979, 50923, 51598, 50851, 51672, 66646, 51589, 58188, 51832, 50438, 53459, 50893, 51979, 50893, 51389, 50896, 51598, 51351, 51545, 53280, 51250, 52519, 50798, 51420, 56189, 54478, 53459, 50806, 51979, 50806, 51249, 51233, 59142, 56254, 51832, 50450, 53459, 50806, 51979, 50806, 52078, 50896, 51231, 51177, 60298, 52154, 55603, 54622, 53459, 50806, 51979, 50806, 51598, 57277, 55475, 55603, 51832, 50799, 53572, 50896, 52491, 50896, 51984, 50896, 51860, 51351, 51350, 51142, 51250, 50974, 52571, 51790, 51465, 51790, 51231, 51790, 50798, 60322, 51104, 50851, 51039, 62759, 56254, 77962, 51209, 50896, 51590, 50896, 51350, 51254, 51250, 51174, 50903, 62555, 51163, 55603, 54150, 51860, 53590, 56558, 56558, 51832, 50438, 53572, 50896, 52491, 50896, 51668, 50896, 51860, 51218, 51545, 60386, 60322, 51104, 54478, 51350, 51174, 51250, 51376, 52571, 50942, 51465, 50942, 51231, 50942, 53510, 51163, 56254, 51832, 50450, 51209, 50896, 51590, 64445, 62555, 51163, 55603, 54622, 52413, 50933, 51350, 51058, 51250, 57685, 51589, 70723, 51832, 69899, 50896, 51860, 51204, 52571, 51313, 51465, 51313, 51231, 67531, 60322, 51104, 54711, 51350, 51365, 51250, 51006, 54958, 51163, 56254, 77962, 53572, 50805, 52491, 50805, 51209, 51585, 51590, 51585, 60298, 52154, 55603, 54150, 53572, 50795, 52491, 50795, 51860, 50854, 51545, 53840, 51589, 63713, 51832, 50438, 53572, 50806, 52491, 50806, 51668, 50896, 51860, 51204, 51350, 52136, 51250, 73202, 60322, 51104, 54478, 53572, 50879, 52491, 53417, 50368, 51163, 56254, 51832, 50450, 53572, 50806, 52491, 50806, 51984, 64445, 54429, 55603, 55603, 54622, 53572, 50911, 52491, 50911, 51860, 50800, 51545, 56104, 55475, 55603, 51832, 50799, 53572, 50824, 52491, 50824, 51150, 50896, 52241, 51191, 51250, 51365, 51536, 51058, 52395, 51210, 51476, 51790, 51465, 51790, 51231, 51790, 50798, 60322, 51104, 50851, 51039, 62759, 56254, 77962, 51209, 50896, 51334, 50896, 51250, 51387, 51536, 50972, 52395, 51174, 50903, 62555, 51163, 55603, 54150, 52241, 56411, 51589, 70723, 51832, 50438, 53572, 50896, 52491, 50896, 51098, 50896, 52241, 62343, 60322, 51104, 54478, 51915, 50905, 51476, 50942, 51465, 50942, 51231, 50942, 53510, 51163, 56254, 51832, 50450, 51209, 50896, 51334, 50896, 51350, 50364, 51610, 62555, 51163, 55603, 54622, 52241, 51008, 51250, 51862, 51536, 50933, 52395, 62977, 56558, 56558, 51832, 53788, 50896, 52241, 51679, 51476, 51313, 51465, 51313, 51231, 67531, 60322, 51104, 54711, 51250, 51365, 51536, 50933, 52395, 52854, 62759, 56254, 77962, 53572, 50879, 52491, 50879, 51209, 51585, 51334, 51585, 60298, 52154, 55603, 54150, 53572, 50893, 52491, 50893, 52241, 50812, 51915, 58878, 51589, 70723, 51832, 50438, 53572, 50911, 52491, 50911, 51098, 50896, 52241, 50901, 51250, 54228, 51536, 71732, 60322, 51104, 54478, 53572, 50923, 52491, 50923, 53621, 50905, 53510, 51163, 56254, 51832, 50450, 53572, 50893, 52491, 50893, 51150, 50896, 53973, 50901, 60298, 52154, 55603, 54622, 53572, 50911, 52491, 50911, 53621, 58878, 55475, 55603, 51832, 50799, 55495, 50896, 52891, 50896, 51389, 50896, 51507, 51204, 51195, 51254, 51659, 51006, 51410, 53588, 51719, 53588, 51249, 53588, 50798, 60322, 51104, 50851, 51039, 62759, 56254, 77962, 51547, 50896, 51229, 50896, 51390, 50896, 51195, 51642, 51659, 51172, 50903, 62555, 51163, 55603, 54150, 51507, 52923, 51589, 70723, 51832, 62145, 50896, 51507, 67400, 60322, 51104, 54478, 51482, 51309, 53510, 51163, 56254, 51832, 50450, 51547, 50896, 51229, 50896, 51390, 50896, 51265, 52946, 50903, 62555, 51163, 55603, 54622, 51507, 54897, 56558, 56558, 51832, 56950, 50896, 51507, 51351, 51410, 53588, 51719, 53588, 51249, 53588, 50798, 60322, 51104, 55171, 52871, 51195, 50933, 51659, 50987, 54958, 51163, 56254, 77962, 51547, 50896, 51229, 50896, 51390, 64445, 56823, 51373, 52154, 55603, 55171, 54150, 51507, 53590, 51589, 63713, 51832, 62145, 50896, 51507, 51218, 51195, 51965, 51659, 51397, 52428, 51002, 54984, 55171, 52597, 50804, 55638, 56254, 51832, 52612, 52848, 51547, 50896, 51229, 50896, 51390, 50896, 51389, 55113, 56823, 55309, 55603, 55171, 50851, 52145, 55346, 51785, 55759, 53887, 55603, 50363, 50954, 50822, 52215, 50812, 50799, 53459, 50896, 51979, 50896, 52078, 50896, 51598, 51351, 51250, 51142, 51780, 50974, 51410, 52337, 51231, 52337, 51672, 52337, 50798, 60322, 51104, 55171, 64540, 62759, 56254, 77962, 51590, 50896, 51390, 50896, 51250, 51254, 51780, 51174, 50903, 50882, 51190, 51163, 55603, 54150, 51598, 53590, 51589, 70723, 51832, 50438, 53459, 50896, 51979, 50896, 51389, 50896, 51598, 51218, 51195, 60386, 60322, 51104, 54478 ]

[ 0, 713, 5175, 8, 19834, 9284, 2214, 6, 278, 11, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 1931, 21683, 41, 9066, 8, 25306, 34705, 4, 20, 13305, 6, 20535, 2810, 6, 38668, 11212, 6, 38668, 9590, 6, 8, 31391, 1672, 9590, 283, 561, 7, 1045, 10, 2369, 14, 74, 2564, 6683, 11, 41, 814, 822, 50, 6717, 4, 20, 20889, 16, 10, 20902, 12447, 1001, 6, 2396, 5, 1007, 239, 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 ]

[ 57739, 55094, 51402, 53349, 50982, 53158, 54951, 51320, 53237, 50908, 51694, 51663, 53943, 50798, 51663, 52767, 67178, 55762, 77968, 50908, 51450, 51663, 55604, 50856, 53114, 51320, 51920, 54914, 50798, 51663, 50928, 51899, 54508, 51467, 52990, 53922, 50856, 53556, 51320, 53237, 50891, 53206, 55255, 52995, 50825, 59696, 53110, 50837, 52475, 50887, 51349, 54024, 50856, 50928, 51995, 63356, 52244, 56639, 57404, 52645, 50858, 51374, 52801, 72173, 50870, 52475, 50890, 51349, 50803, 51694, 54508, 51467, 57737, 50825, 51995, 50840, 51137, 53300, 70291, 52645, 50880, 51374, 50803, 51974, 55454, 50820, 52713, 50923, 51416, 54241, 55610, 54973, 50870, 51450, 51663, 50870, 52475, 50930, 51349, 53609, 50856, 59457, 51995, 63356, 50803, 52129, 51139, 52893, 60479, 52645, 50858, 51374, 52911, 72173, 50891, 69799, 51349, 50803, 60560, 52990, 50870, 51995, 50836, 51137, 53532, 50856, 50829, 52645, 50962, 51374, 52163, 50798, 51920, 50891, 52660, 50923, 70193, 53206, 50898, 54973, 50870, 51528, 51663, 52144, 50908, 52645, 50829, 52475, 50930, 51374, 50949, 51349, 79155, 62240, 55454, 51877, 50835, 52713, 50887, 51416, 52244, 50856, 52497, 50982, 52475, 50855, 51349, 52801, 50798, 51663, 53940, 51129, 51995, 50840, 51137, 50803, 59158, 55019, 53940, 51129, 52645, 50930, 51374, 53300, 50856, 60195, 52660, 50809, 51181, 52119, 56639, 54697, 51258, 52587, 50880, 51338, 52674, 50816, 68003, 51437, 53390, 52497, 51004, 52887, 50859, 67306, 51450, 51663, 51909, 56819, 52660, 51010, 51181, 53609, 50856, 52144, 67387, 52632, 50887, 51533, 52284, 51320, 52893, 52132, 50870, 52645, 50962, 51374, 52911, 77968, 51792, 61333, 52887, 50809, 67306, 51899, 51663, 52520, 50928, 51995, 50887, 51137, 53532, 50856, 54697, 51129, 52811, 50890, 51602, 52163, 53804, 51663, 51877, 50835, 52475, 50930, 51349, 52937, 50816, 52990, 52144, 67828, 52887, 50800, 67306, 51528, 51663, 52275, 50825, 53386, 50880, 51684, 54024, 50856, 53637, 51258, 54456, 50809, 52585, 61493, 57737, 52275, 50825, 54813, 50962, 52474, 52801, 50798, 51663, 54697, 51258, 52887, 50890, 67306, 51694, 54508, 53349, 51877, 50835, 56287, 50930, 52993, 53300, 50856, 52520, 50908, 61569, 50930, 54785, 50803, 51974, 52348, 57737, 68697, 56227, 51010, 54144, 52674, 50816, 53390, 52520, 50908, 52887, 50840, 67306, 51450, 51663, 51909, 50825, 53054, 51009, 51957, 51407, 50439, 50770, 50315, 51870, 50441, 65543, 53940, 54406, 50856, 52497, 58355, 51320, 52990, 51877, 58145, 52002, 50890, 51913, 51031, 51648, 50895, 51888, 50961, 51899, 51663, 52132, 61634, 51648, 50930, 51963, 51031, 51888, 51031, 51776, 50961, 53462, 51663, 51877, 50835, 53206, 53333, 55019, 52275, 50825, 61142, 56771, 51648, 51031, 52002, 50961, 51888, 50961, 51913, 50817, 51776, 50818, 51528, 54906, 54508, 76156, 50811, 59931, 50823, 52475, 50962, 51349, 58320, 52537, 50830, 51280, 50950, 51708, 50833, 51402, 53349, 54697, 51258, 51995, 50840, 51137, 60208, 51847, 51010, 51099, 51010, 51888, 51031, 52306, 77844, 51683, 50817, 51776, 51031, 52002, 51031, 53158, 52859, 72592, 51708, 50818, 52645, 50821, 52811, 50834, 51374, 50803, 51602, 56828, 51320, 53237, 52497, 78572, 52475, 50930, 51349, 50811, 51694, 51663, 51877, 50835, 51995, 63356, 54935, 50798, 51663, 52132, 62618, 52645, 50890, 52811, 50834, 51374, 50811, 51602, 54151, 67178, 53940, 51004, 52713, 50923, 51416, 54241, 77968, 52497, 51004, 51450, 51663, 51909, 50825, 52475, 50890, 51349, 55092, 50856, 60195, 51995, 50840, 51137, 52940, 51320, 51920, 52520, 50928, 52645, 50800, 51374, 52911, 50798, 51663, 53940, 51004, 52475, 50930, 51349, 50811, 51899, 54508, 51467, 52990, 51877, 50835, 51995, 50836, 51137, 55552, 50856, 52859, 50982, 51280, 50890, 51708, 50818, 51494, 50828, 52645, 50840, 51374, 52884, 51320, 53237, 52859, 50928, 52660, 50911, 70193, 53206, 55255, 52995, 68697, 52537, 50930, 59696, 53110, 52132, 50370, 79052, 51896, 52475, 50887, 51349, 55804, 50856, 53940, 51129, 52537, 70333, 51995, 50840, 51137, 53213, 56639, 51877, 50835, 52533, 50930, 51708, 50811, 52645, 50859, 52475, 50864, 51374, 50803, 51349, 56299, 72173, 52520, 50928, 51280, 50940, 69799, 51349, 50811, 51694, 54508, 51467, 57737, 68697, 51232, 50925, 51847, 50940, 51995, 50887, 51137, 54935, 50856, 52859, 50982, 52645, 50858, 51374, 58874, 51869, 50811, 51974, 55454, 51877, 50835, 52533, 68487, 52713, 50923, 51416, 54241, 55610, 54973, 52520, 50928, 52537, 64772, 51663, 52520, 64481, 69799, 51349, 55092, 50856, 52132, 50891, 51995, 50840, 51137, 50811, 52129, 51139, 52893, 52144, 50891, 52645, 50840, 51374, 55059, 72173, 52859, 50928, 52660, 50930, 51181, 50811, 60560, 52990, 52520, 50928, 50718, 50284, 51010, 52660, 50962, 51181, 55552, 50856, 52275, 50825, 50718, 50284, 51010, 54679, 50894, 54457, 52163, 50798, 51920, 52859, 50928, 50718, 50284, 50882, 52587, 50911, 51338, 58691, 52649, 50950, 52746, 52937, 53316, 54973, 52520, 50908, 50718, 50284, 59616, 51964, 50890, 52533, 50930, 51648, 50961, 52002, 50890, 51913, 51031, 51888, 50961, 51528, 51663, 52144, 50908, 52533, 50812, 51964, 50882, 61142, 51045, 52887, 51160, 51844, 50993, 51402, 62240, 55454, 51877, 50835, 59931, 50950, 50418, 51913, 51031, 52002, 50930, 51648, 50961, 51888, 51031, 53158, 52497, 72592, 51913, 57508, 51648, 54484, 51776, 56082, 51888, 57508, 50423, 50798, 51663, 53940, 51129, 50424, 69799, 51349, 50811, 59158, 55019, 53940, 51129, 53366, 73892, 52537, 50890, 51995, 63356, 54935, 50856, 60195, 51869, 51010, 52645, 50882, 51374, 50803, 51602, 71586, 51708, 52726, 56639, 54697, 51258, 52713, 50930, 51416, 54496, 50816, 68003, 51437, 53390, 52497, 51004, 51280, 51010, 54671, 50987, 52458, 51138, 51450, 51663, 51909, 50825, 52475, 50882, 51349, 53609, 50856, 52144, 50891, 51995, 50855, 51137, 60681, 52537, 51820, 51320, 52893, 52132, 59002, 51869, 50818, 52645, 50859, 51374, 50803, 51602, 53641, 77968, 75284, 52537, 51173, 50448, 52475, 50962, 51349, 50811, 51899, 51663, 52520, 76595, 51995, 50855, 51137, 55552, 50856, 54697, 51129, 51869, 50836, 52645, 50836, 51374, 50811, 51602, 52349, 53804, 51663, 51877, 50835, 51708, 50800, 52660, 51021, 51181, 50860, 53206, 52990, 52144, 50908, 52533, 50855, 51528, 51663, 52275, 50825, 51869, 50858, 52537, 51030, 50415, 52887, 50880, 51844, 55804, 50856, 53637, 51258, 52660, 50809, 51181, 60208, 51708, 50930, 50419, 52533, 63916, 57737, 52275, 50825, 52645, 50882, 51374, 52801, 50798, 51663, 54697, 51258, 51995, 50882, 51137, 50803, 51694, 54508, 53349, 51877, 50835, 59931, 50950, 69799, 51349, 54935, 50856, 52520, 50908, 61142, 50833, 51995, 50833, 51137, 50803, 51974, 52348, 57737, 68697, 59931, 68487, 52713, 50893, 51416, 54241, 50816, 53390, 52520, 50908, 56187, 51010, 51450, 51663, 51909, 50825, 52475, 50930, 51349, 55092, 65543, 53940, 51004, 56187, 50950, 51995, 63356, 52940, 50856, 52497, 51004, 51888, 50930, 59931, 50803, 52645, 50821, 51374, 57276, 51913, 60555, 51320, 52990, 51877, 50835, 51648, 51045, 61142, 50803, 51995, 50930, 51137, 50811, 51899, 51663, 52132, 50870, 51888, 51045, 59931, 67979, 51561, 50809, 51099, 51010, 52533, 50940, 51232, 51031, 51144, 50834, 52645, 51010, 51374, 55552, 51648, 50809, 75364, 51776, 50930, 56187, 50950, 52660, 50962, 51181, 59154, 51708, 50812 ]

[ 0, 250, 239, 12, 18261, 3152, 2214, 19, 10, 748, 1879, 15525, 20889, 6, 4246, 30587, 29589, 6, 17605, 9590, 6, 8, 21072, 6, 2351, 41, 32749, 1295, 11739, 9, 34879, 8, 32618, 14, 35334, 6453, 9, 11098, 8, 10, 11602, 9, 15073, 6, 70, 150, 6780, 10, 5204, 204, 73, 306, 86, 6543, 11, 5, 762, 9, 381, 3694, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 63515, 51296, 50983, 51278, 50983, 54289, 57345, 51296, 51358, 51278, 51358, 54289, 58624, 51296, 51492, 51278, 51492, 54289, 50807, 50799, 54931, 50795, 55289, 52115, 60915, 50795, 55353, 51631, 59246, 50795, 52682, 51736, 63103, 50795, 52521, 51646, 54931, 50795, 55289, 51918, 60915, 50795, 55353, 51798, 59246, 50795, 52682, 51923, 63103, 50795, 52521, 50795, 60652, 50983, 51278, 50983, 54289, 57345, 51296, 51358, 51278, 51358, 54289, 58624, 51296, 52382, 51278, 52382, 54289, 50807, 50799, 54931, 50795, 55289, 52115, 60915, 50795, 55353, 51631, 59246, 50795, 52682, 51736, 63103, 50795, 52521, 51646, 54931, 50795, 55289, 51918, 60915, 50795, 55353, 51798, 59246, 50795, 52682, 51923, 63103, 51605, 52521, 50795, 63515, 51296, 50983, 51278, 50983, 54289, 55157, 50824, 51302, 53566, 51296, 51358, 51278, 51358, 54289, 50983, 51450, 54145, 51296, 51492, 51278, 51492, 54289, 52496, 50824, 50799, 54931, 50795, 55289, 51428, 54226, 60915, 50795, 55353, 51631, 59246, 50795, 52682, 51626, 53566, 63103, 50795, 52521, 51646, 54931, 50795, 55289, 51428, 53681, 60915, 50795, 55353, 51798, 59246, 50795, 52682, 51626, 54098, 63103, 50795, 52521, 50795, 63515, 51296, 50983, 51278, 50983, 54289, 55157, 50824, 51302, 53566, 51296, 51358, 51278, 51358, 54289, 50983, 51450, 54145, 51296, 51161, 51278, 51161, 54289, 52496, 50824, 50799, 54931, 50795, 55289, 51428, 54226, 60915, 50795, 55353, 51631, 59246, 50795, 52682, 51626, 53566, 63103, 50795, 52521, 51646, 54931, 50795, 55289, 51626, 51812, 52313, 60915, 50795, 55353, 51626, 51812, 52175, 59246, 50795, 52682, 51626, 51812, 52325, 63103, 50795, 52521, 51626, 51812, 51407, 63515, 53982, 57726, 54289, 51428, 54226, 53982, 57726, 54289, 51631, 53982, 57726, 54289, 51626, 66613, 53982, 57726, 54289, 51646, 53982, 57726, 54289, 51428, 53681, 53982, 57726, 54289, 51798, 53982, 57726, 54289, 51626, 51352, 50456, 53982, 57726, 54289, 50795, 50799, 53982, 57726, 54289, 51428, 54226, 53982, 57726, 54289, 51631, 53982, 57726, 54289, 51626, 66613, 53982, 57726, 54289, 51646, 53982, 57726, 54931, 51428, 52313, 53982, 57726, 60915, 51428, 52175, 53982, 57726, 53508, 51626, 54098, 53982, 57726, 63103, 50795, 50799, 61016, 59246, 51428, 59739, 61912, 61016, 59246, 51631, 61016, 59246, 51626, 53566, 61016, 59246, 51646, 61016, 59246, 51428, 52313, 61016, 59246, 51428, 52175, 61016, 59246, 51626, 54098, 61016, 59246, 50795, 50799, 62948, 61668, 51428, 58054, 52410, 51942, 51091, 51155, 51091, 59246, 78688, 51059, 51206, 51059, 50435, 51296, 50807, 51278, 50807, 63103, 52496, 59739, 51009, 50447, 65136, 62429, 61668, 52496, 70216, 50636, 53982, 57726, 51296, 53520, 51278, 53520, 54289, 51428, 50824, 52177, 53982, 57726, 54289, 53471, 53982, 57726, 54289, 51626, 58542, 53982, 57726, 54289, 53505, 53982, 57726, 54289, 51428, 57699, 53982, 57726, 54289, 53658, 53982, 57726, 54289, 51626, 57325, 53982, 57726, 54289, 54093, 53982, 57726, 54289, 51428, 50824, 52177, 53982, 57726, 54289, 53471, 53982, 57726, 54289, 51626, 58542, 53982, 57726, 54289, 53505, 53982, 57726, 54931, 51428, 56119, 53982, 57726, 60915, 51428, 55373, 53982, 57726, 53508, 51626, 51812, 57325, 53982, 57726, 63103, 51626, 54934, 61016, 59246, 51428, 59739, 54217, 52177, 61016, 59246, 53471, 61016, 59246, 51626, 58542, 61016, 59246, 53505, 61016, 59246, 51428, 56119, 61016, 59246, 51428, 55373, 61016, 59246, 51626, 57325, 61016, 59246, 54093, 62948, 61668, 51428, 50802, 52177, 51942, 51091, 51155, 51091, 59246, 78688, 68025, 51296, 50807, 51278, 50807, 63103, 52496, 53681, 65136, 62429, 61668, 52496, 50993, 52612, 50802, 53061, 51779, 52163, 50636, 51296, 51036, 51296, 51036, 51278, 51036, 51278, 51036, 54289, 51428, 50824, 50799, 54289, 52115, 54289, 51626, 54107, 54289, 51736, 54289, 51428, 52125, 54289, 51428, 52313, 54289, 51626, 54145, 54289, 51923, 53682, 50918, 51296, 50918, 51386, 50918, 51278, 50918, 53394, 51428, 50824, 50799, 53394, 52115, 53394, 51626, 54107, 53394, 51736, 51942, 50918, 51155, 50918, 51296, 51492, 51278, 51492, 59246, 51428, 52125, 59246, 51428, 52313, 59246, 51626, 54145, 59246, 51923, 53982, 57726, 54289, 51428, 50824, 50799, 53982, 57726, 54289, 52115, 53982, 57726, 54289, 51626, 54107, 53982, 57726, 54289, 51736, 53982, 57726, 54289, 51428, 52125, 53982, 57726, 54289, 51428, 52313, 53982, 57726, 54289, 51626, 54145, 53982, 57726, 54289, 51923, 53982, 57726, 54289, 51428, 50824, 50799, 53982, 57726, 54289, 52115, 53982, 57726, 54289, 51626, 54107, 53982, 57726, 54289, 51736, 53982, 57726, 54931, 51626, 52125, 53982, 57726, 60915, 51626, 52313, 53982, 57726, 53508, 51626, 52175, 53982, 57726, 54289, 51626, 52325, 50636, 51296, 51036, 51296, 51036, 51278, 51036, 51278, 51036, 54289, 51428, 50824, 50799, 54289, 52115, 54289, 51626, 54107, 54289, 51736, 54289, 51428, 52125, 54289, 51428, 52313, 54289, 51626, 54145, 54289, 51923, 53682, 50918, 51296, 50918, 51386, 50918, 51278, 50918, 53394, 51428, 50824, 50799, 53394, 52115, 53394, 51626, 54107, 53394, 51736, 51942, 50918, 51155, 50918, 51296, 51492, 51278, 51492, 59246, 51428, 52125, 59246, 51428, 52313, 59246, 51626, 54145, 59246, 51923, 53982, 57726, 54289, 51428, 50824, 50799, 53982, 57726, 54289, 52115, 53982, 57726, 54289, 51626, 54107, 53982, 57726, 54289, 51736, 53982, 57726, 54289, 51428, 52125, 53982, 57726, 54289, 51428, 52313, 53982, 57726, 54289, 51626, 54145, 53982, 57726, 54289, 51923, 53982, 57726, 54289, 51428, 50824, 50799, 53982, 57726, 54289, 52115, 53982, 57726, 54289, 51626, 54107, 53982, 57726, 54289, 51736, 53982, 57726, 54931, 51626, 52125, 53982, 57726, 60915, 51626, 52313, 53982, 57726, 53508, 51626, 52175, 53982, 57726, 54289, 51626, 52325, 50636, 53982, 57726, 51296, 51492, 51278, 51492, 54289, 51428, 50824, 50799, 53982, 57726, 54289, 52115, 53982, 57726, 54289, 51626, 54107, 53982, 57726, 54289, 51736, 53982, 57726, 54289, 51428, 53663, 53982, 57726, 54289, 51918, 53982, 57726, 54289, 51626, 54145, 53982, 57726, 54289, 51923, 53982, 57726, 54289, 51428, 50824, 50799, 53982, 57726, 54289, 52115, 53982, 57726, 54289, 51626, 54107, 53982, 57726, 54289, 51736, 53982, 57726, 54931, 51428, 52125, 53982, 57726, 60915, 51428, 52313, 53982, 57726, 53508, 51626, 54145, 53982, 57726, 63103, 51923, 61016, 59246, 51428, 59739, 51732, 50799, 61016, 59246, 52115, 61016, 59246, 51626, 54107, 61016, 59246, 51736, 61016, 59246, 51428, 52125, 61016, 59246, 51428, 52313, 61016, 59246, 51626, 54145, 61016, 59246, 51923, 62948, 61668, 51428, 50802, 50799, 51942, 51091, 51155, 51091, 59246, 78688, 51059, 50429, 51296, 50807, 51278, 50807, 63103, 52496, 57699, 65136, 62429, 61668, 52496, 57325, 50636, 53982, 57726, 51296, 51492, 51278, 51492, 54289, 51428, 70216, 53982, 57726, 54289, 50795, 52177, 53982, 57726, 54289, 51626, 64381, 53982, 57726, 54289, 54253, 53982, 57726, 54289, 51428, 60739, 53982, 57726, 54289, 54789, 53982, 57726, 54289, 51626, 63058, 53982, 57726, 54289, 55000, 53982, 57726, 54289, 51428, 70216, 53982, 57726, 54289, 50795, 52177, 53982, 57726, 54289, 51626, 64381, 53982, 57726, 54289, 54253, 53982, 57726, 54931, 51428, 54241, 53982, 57726, 60915, 51428, 56119, 53982, 57726, 53508, 51626, 63058, 53982, 57726, 63103, 55000, 61016, 59246, 51428, 59739 ]

[ 0, 250, 19448, 5175, 25771, 2214, 19, 10, 15352, 30054, 4782, 6, 4246, 10, 6755, 12547, 6, 38668, 22052, 6, 21979, 8669, 6, 21979, 9590, 6, 8, 18558, 10, 25118, 6, 7630, 14805, 10, 3366, 219, 8, 980, 219, 5466, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 41, 12447, 1001, 20889, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 50796, 50799, 61115, 50938, 52419, 50952, 55500, 53201, 53496, 52204, 52091, 52720, 51113, 52644, 51284, 52644, 56952, 50833, 52653, 50998, 51178, 50947, 51043, 52419, 60751, 51316, 51110, 51302, 61676, 58493, 50805, 52318, 50849, 51361, 50878, 50998, 50942, 50947, 50942, 51493, 60121, 51316, 50866, 51570, 57567, 50917, 52419, 50952, 51180, 50955, 70590, 67418, 52419, 77370, 51316, 55514, 55290, 50843, 57990, 50924, 50998, 50925, 67418, 52318, 72065, 51316, 51058, 51453, 50878, 70590, 50947, 50942, 51493, 74949, 51316, 51008, 53028, 57567, 50938, 52419, 50952, 56952, 52938, 50878, 68242, 61498, 52419, 50879, 50421, 51316, 51328, 55057, 56525, 57370, 50924, 52318, 51111, 51361, 50955, 79742, 50947, 50917, 51493, 60121, 51316, 50937, 51570, 50942, 55450, 52419, 50952, 51113, 50845, 51284, 50845, 51180, 50977, 70590, 67418, 52419, 51158, 51357, 50901, 51558, 50901, 50445, 51316, 55514, 50801, 58224, 58786, 50937, 50998, 50942, 50947, 50942, 52318, 50805, 51113, 50943, 51284, 50943, 50451, 51316, 50878, 51453, 50878, 68864, 67418, 51493, 50937, 50457, 51316, 50933, 53028, 56525, 50917, 51273, 50830, 55500, 55408, 52016, 53295, 52582, 55428, 51251, 51307, 51107, 51307, 56952, 53340, 50878, 51078, 67820, 51273, 50879, 50421, 51067, 60086, 50801, 63342, 56873, 50924, 51705, 76306, 50955, 50947, 50925, 51078, 50917, 51216, 67502, 66863, 51570, 62064, 50873, 67418, 51078, 50866, 51273, 72858, 66863, 51180, 50878, 67418, 51078, 50866, 51273, 51111, 50445, 51067, 56060, 50843, 62064, 57370, 50879, 51078, 50942, 50947, 50959, 51705, 72065, 51067, 51008, 51453, 50959, 67418, 51078, 50987, 51216, 50924, 50457, 51067, 50959, 60122, 55106, 52189, 57567, 50938, 67418, 51078, 50937, 51273, 50830, 51491, 50840, 51107, 67694, 51067, 50942, 55207, 52189, 60521, 50955, 51078, 50977, 51273, 51158, 51491, 50859, 51107, 69388, 51067, 57630, 50920, 55619, 53841, 61676, 50937, 67418, 51078, 50866, 51705, 51111, 51491, 50859, 51107, 66086, 51067, 59780, 50804, 51420, 50955, 50947, 50955, 51078, 50937, 51216, 65728, 50800, 51107, 68484, 51067, 59983, 50920, 54742, 53097, 50910, 54613, 50947, 50942, 51078, 50866, 51273, 51158, 51491, 50800, 51107, 66905, 51067, 55758, 50920, 53966, 53841, 55110, 78218, 50924, 50998, 50917, 51169, 50977, 51493, 51173, 57380, 51481, 54549, 50845, 52091, 51177, 70058, 51266, 68523, 51076, 50977, 50799, 51190, 51015, 50917, 52419, 50830, 52091, 52121, 51701, 52121, 52736, 52337, 50419, 50998, 50987, 56952, 53340, 50955, 78672, 51316, 50978, 52419, 51177, 55057, 53497, 58546, 51100, 51788, 50865, 52318, 51111, 50431, 66334, 51361, 51008, 50947, 50925, 51316, 50866, 51788, 51100, 51493, 53470, 51441, 51015, 50917, 52866, 50849, 52419, 78106, 68583, 51180, 50878, 78672, 51316, 51058, 51788, 51159, 52419, 51060, 50449, 50998, 50955, 51382, 54692, 53530, 50938, 76169, 51316, 51006, 52318, 51100, 50455, 70590, 51453, 50878, 67418, 51316, 51058, 57155, 51221, 51493, 50849, 50799, 51441, 51015, 50938, 52419, 50952, 50419, 50998, 50942, 56952, 53340, 50977, 50947, 50937, 51316, 50978, 51788, 51124, 52419, 51158, 51302, 52154, 53530, 50865, 52318, 51100, 50431, 50998, 50925, 51361, 50854, 50947, 50917, 51316, 50866, 52866, 51110, 51493, 51646, 51441, 51015, 50938, 52419, 50952, 50443, 68583, 51180, 50897, 78672, 51316, 50978, 51788, 51159, 52419, 51215, 50449, 50998, 50942, 57702, 53497, 59597, 50805, 50947, 50942, 51316, 50933, 52318, 51100, 50455, 50998, 50925, 51453, 50878, 67418, 51316, 51006, 51292, 51111, 51493, 50917, 50799, 51441, 51015, 50805, 51786, 51110, 51273, 50800, 52582, 51717, 51701, 51717, 52009, 52122, 50419, 51078, 50917, 56952, 51559, 50878, 78672, 51067, 50978, 51273, 51060, 55057, 53497, 59597, 50805, 51788, 50917, 51705, 51111, 50431, 51078, 50977, 51361, 50854, 66863, 50947, 50937, 51788, 51177, 74676, 51570, 54312, 50805, 52866, 50849, 51273, 50924, 50443, 51078, 50977, 51180, 50833, 51067, 50959, 78672, 51788, 51178, 51273, 51158, 50449, 51078, 50977, 51382, 54692, 53097, 50910, 50947, 50955, 66863, 51705, 51111, 50455, 51078, 50978, 51453, 50854, 50947, 51008, 51067, 50955, 74676, 50799, 51441, 51015, 50938, 51273, 50865, 50419, 51078, 55085, 50920, 51559, 50925, 78672, 70186, 51273, 51060, 55057, 52764, 55236, 50938, 51705, 51111, 50431, 51078, 50977, 51361, 50822, 78672, 70186, 51216, 53470, 51441, 51015, 50938, 51273, 50952, 50443, 51078, 50937, 51180, 50854, 50947, 50917, 51067, 50987, 51273, 51100, 50449, 51078, 55758, 50843, 52764, 55236, 50805, 67418, 51067, 50955, 51705, 50849, 50455, 51078, 50866, 51453, 50810, 50947, 50955, 66863, 51216, 72914, 50998, 50942, 50799, 51441, 51015, 50938, 67418, 51316, 50987, 52419, 50938, 52091, 52122, 51701, 52121, 52736, 52121, 50419, 50998, 50942, 56952, 51437, 50854, 67418, 51316, 50959, 52419, 51111, 55057, 54172, 55236, 50938, 51788, 50849, 52318, 51100, 50431, 50998, 50925, 77490, 50947, 50925, 51316, 50866, 51788, 50873, 51493, 54233, 51441, 51015, 50917, 52866, 50873, 52419, 50952, 50443, 50998, 50925, 51180, 50925, 50947, 50937, 51316, 50866, 51788, 51178, 52419, 51111, 50449, 50998, 50942, 57702, 54806, 61468, 50938, 79853, 51316, 51058, 52318, 51100, 50455, 50998, 50925, 51453, 50810, 50947, 50942, 51316, 50959, 57155, 50873, 51493, 50805, 50799, 70271, 50938, 52419, 50924, 50419, 79742, 56952, 52873, 50925, 50947, 50917, 51316, 50892, 51788, 51121, 52419, 51631, 50843, 53497, 61468, 50938, 52318, 50873, 50431, 50998, 50925, 51361, 50878, 77457, 51316, 50866, 52866, 50849, 51493, 52446, 51441, 51015, 50938, 52419, 50910, 50443, 50998, 50942, 51180, 50833, 50947, 50917, 51316, 50866, 51788, 51221, 52419, 51111, 50449, 50998, 50942, 57702, 54172, 55236, 50865, 50947, 50942, 51316, 51008, 52318, 50849, 50455, 50998, 50942, 51453, 50878, 67418, 51316, 51006, 51292, 50849, 51493, 50925, 53028, 59597, 50924, 51786, 51110, 51273, 50910, 52582, 51717, 51701, 52250, 52009, 51717, 50419, 51078, 50942, 56952, 52873, 50942, 50947, 50942, 66863, 51273, 51111, 55057, 53497, 55236, 50924, 51788, 50917, 51705, 51100, 50431, 70549, 51361, 50942, 50947, 50942, 51067, 50955, 51788, 51101, 51216, 64967, 51441, 51015, 50924, 52866, 51177, 51273, 50897, 50443, 51078, 50977, 51180, 50833, 51067, 50959, 79853, 51788, 51100, 51273, 51111, 50449, 51078, 56060, 50843, 53119, 55236, 50795, 50947, 50955, 66863, 51705, 51111, 50455, 51078, 50878, 51453, 50942, 50947, 50959, 51067, 50955, 51216, 50849, 50799, 51718, 51015, 50938, 51273, 50910, 50419, 51078, 50955, 56952, 53340, 50942, 76169, 51067, 50987, 51273, 51060, 55057, 54172, 61468, 50865, 51705, 51121, 50431, 51078, 50942, 51361, 50955, 51067, 50955, 79853, 51216, 53470, 51441, 51015, 65577, 50910, 50443, 51078, 50977, 54141, 52873, 50925, 79853, 51067, 50987, 51273, 51100, 50449, 51078, 50977, 51382, 54845, 56525, 50879, 51067, 50897, 50947, 50937, 51705, 51121, 50455, 51078, 50942, 56871, 51559, 50925, 67418, 51067, 50987, 51292, 50978, 51216, 50873, 50799, 51230, 51015, 50917, 53779, 51110, 57155, 50937, 61777, 50937, 51216, 51013, 51584, 51445, 52170, 51445, 52091, 51151, 76454, 52736, 51313, 50419, 50998, 53066, 50920, 52217, 51058, 68019, 78376, 57155, 50925, 61777, 50917, 55057, 54172, 58546, 50865, 57155, 50897, 61777 ]

[ 0, 250, 3366, 219, 5175, 25771, 2214, 19, 10, 980, 219, 8, 19448, 16464, 6, 4246, 10, 13305, 6, 38668, 22052, 6, 21072, 6, 2382, 3459, 8669, 6, 8, 38668, 3038, 6, 278, 11, 10, 204, 73, 306, 86, 6543, 23, 10, 38451, 3938, 20889, 9, 12747, 741, 1685, 11, 5, 762, 9, 274, 3694, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 78323, 51696, 50420, 51847, 53241, 50426, 51561, 51585, 50432, 51512, 51977, 79921, 52208, 50420, 51706, 52500, 50426, 51561, 51941, 50432, 51512, 52827, 50444, 51099, 51274, 78323, 51353, 67791, 52096, 53496, 54430, 51821, 51696, 52398, 53073, 50420, 51847, 52536, 50426, 51561, 51941, 50432, 51512, 51790, 79921, 51307, 51602, 51016, 52606, 52017, 50420, 51706, 53435, 50426, 51561, 51486, 51132, 59984, 51512, 51790, 55545, 53681, 51099, 69830, 51338, 57623, 52538, 52738, 50804, 52050, 50961, 52198, 52050, 50961, 52894, 50893, 57380, 53073, 52233, 53601, 51821, 53501, 51616, 50837, 69025, 51530, 53432, 56874, 50387, 52289, 51129, 50417, 51616, 50891, 69318, 51530, 51467, 53223, 51602, 51012, 51616, 50837, 69025, 51530, 50846, 53392, 51239, 78929, 54951, 51616, 50908, 75834, 51530, 50884, 54517, 51239, 74285, 52976, 51616, 50835, 51061, 50884, 51530, 54212, 50898, 62056, 68536, 51616, 50908, 68462, 51530, 50839, 53392, 51187, 52818, 76616, 54517, 53704, 51239, 50379, 52289, 55813, 51616, 50891, 69318, 51530, 50884, 53392, 51187, 67576, 50928, 54908, 51356, 54222, 51539, 56755, 51616, 50837, 51061, 50846, 51530, 51041, 74285, 53858, 51616, 50837, 69025, 51530, 50828, 53392, 51467, 50372, 52289, 60571, 51616, 50891, 69318, 51530, 50884, 54517, 51539, 67576, 54044, 51616, 50825, 51061, 74153, 54528, 53989, 51139, 50372, 52289, 56597, 53392, 51750, 53017, 51616, 50863, 67871, 51530, 50834, 54517, 56634, 50372, 52289, 56232, 51616, 50891, 69318, 51530, 51750, 62056, 50870, 52894, 50806, 51616, 50837, 69025, 51530, 53432, 51044, 50372, 52289, 51129, 50417, 51616, 50891, 69318, 51530, 51467, 53223, 51602, 51012, 51616, 50837, 69025, 51530, 50846, 53392, 51464, 78929, 55375, 51616, 50908, 75834, 51530, 50884, 54517, 51833, 74285, 53896, 51616, 50835, 51061, 50884, 51530, 54212, 50898, 62056, 60481, 51616, 50908, 68462, 51530, 50839, 53392, 51406, 52818, 76616, 54517, 54109, 51239, 50379, 52289, 55799, 51616, 50891, 69318, 51530, 51179, 67576, 50870, 54908, 51196, 54222, 51187, 56755, 51616, 50837, 51061, 50846, 51530, 51041, 74285, 54406, 51616, 50837, 69025, 51530, 50828, 53392, 51539, 50372, 52289, 56377, 51616, 50891, 69318, 51530, 50884, 54517, 51239, 67576, 54044, 51616, 50825, 51061, 74153, 54528, 53989, 51139, 50372, 52289, 60491, 61014, 51616, 50863, 67871, 51530, 50834, 53392, 54726, 50372, 52289, 55397, 51616, 50891, 69318, 51530, 51750, 62056, 50908, 52894, 51012, 54064, 54430, 52016, 51696, 51616, 50837, 69025, 51530, 53432, 56874, 50387, 52289, 57226, 51616, 50891, 69318, 51530, 51467, 53223, 51602, 50879, 51616, 50837, 69025, 51530, 50846, 53392, 51239, 78929, 64024, 51616, 50908, 75834, 51530, 50884, 54517, 51239, 74285, 52966, 51616, 50835, 51061, 50884, 51530, 54212, 50898, 62056, 58832, 51616, 50908, 68462, 51530, 50839, 53392, 51187, 52818, 51132, 50911, 54517, 53704, 51239, 50379, 52289, 58721, 51616, 50891, 69318, 51530, 50884, 53392, 51187, 67576, 51004, 55511, 53606, 50321, 51187, 56755, 51616, 50837, 51061, 50846, 51530, 51041, 74285, 54406, 51526, 50859, 51616, 50837, 69025, 51530, 50828, 53392, 51467, 50372, 52289, 56377, 51616, 50891, 69318, 51530, 50884, 54517, 51539, 67576, 54044, 51526, 51016, 51616, 50825, 51061, 74153, 54528, 53989, 51139, 50372, 52289, 61362, 53392, 51750, 53017, 51616, 50863, 67871, 51530, 50834, 54517, 56634, 50372, 52289, 56232, 51616, 50891, 69318, 51530, 51750, 62056, 51004, 54983, 51090, 53496, 52017, 51616, 50837, 69025, 51530, 53432, 51044, 50372, 52289, 77298, 51616, 50891, 69318, 51530, 51467, 53223, 51616, 50837, 69025, 51530, 50846, 53392, 51464, 78929, 54951, 51616, 50908, 75834, 51530, 50884, 54517, 51833, 74285, 53896, 51602, 50824, 51616, 50835, 51061, 50884, 51530, 54212, 50898, 62056, 57845, 51616, 50908, 68462, 51530, 50839, 53392, 51406, 52818, 54517, 54109, 51239, 50379, 52289, 55762, 51616, 50891, 69318, 51530, 51179, 67576, 54203, 51132, 50824, 54222, 54212, 53905, 51616, 50837, 51061, 50846, 51530, 50385, 52289, 53858, 51616, 50837, 69025, 51530, 50828, 53392, 70724, 58355, 51616, 50891, 69318, 51530, 50884, 54517, 54499, 50387, 52289, 53166, 51533, 51016, 51616, 50825, 51061, 74153, 54528, 53989, 50386, 52289, 50908, 53061, 52349, 51616, 50863, 67871, 51530, 50834, 53392, 54131, 53732, 50372, 52289, 59506, 51616, 50891, 69318, 51530, 55164, 50387, 52289, 50982, 52894, 50923, 57380, 53601, 52233, 53501, 51821, 54430, 51616, 50837, 69025, 51530, 53432, 56874, 50387, 52289, 65926, 51616, 50891, 69318, 51530, 51467, 53223, 51602, 50893, 51616, 50837, 69025, 51530, 51239, 78929, 54951, 51616, 50908, 75834, 51530, 51179, 74285, 53098, 51616, 50835, 51061, 50884, 51530, 54212, 50898, 62056, 64044, 51616, 50908, 68462, 51530, 51467, 52818, 51132, 50923, 53552, 50379, 52289, 55762, 51616, 50891, 69318, 51530, 51179, 67576, 50982, 54908, 51527, 51970, 50441, 51616, 50837, 51061, 50846, 51530, 51041, 74285, 54406, 51616, 50837, 69025, 51530, 51187, 50372, 52289, 55721, 51616, 50891, 69318, 51530, 51179, 67576, 55038, 51616, 50825, 51061, 74153, 54528, 53989, 51139, 50372, 52289, 71670, 61014, 51616, 50863, 67871, 51530, 55033, 50372, 52289, 56013, 51616, 50891, 69318, 51530, 51750, 62056, 50908, 52894, 50923, 51616, 50837, 69025, 51530, 53432, 51044, 50372, 52289, 57226, 51616, 50891, 69318, 51530, 51467, 53223, 51602, 50911, 51616, 50837, 69025, 51530, 51239, 78929, 56016, 51616, 50908, 75834, 51530, 51179, 74285, 52976, 51616, 50835, 51061, 50884, 51530, 54212, 50898, 62056, 57845, 51616, 50908, 68462, 51530, 51467, 52818, 51132, 50923, 53552, 50379, 52289, 55813, 51616, 50891, 69318, 51530, 51179, 67576, 50928, 54908, 51356, 51970, 50441, 51616, 50837, 51061, 50846, 51530, 51041, 74285, 54485, 51616, 50837, 69025, 51530, 51187, 50372, 52289, 55721, 51616, 50891, 69318, 51530, 51179, 67576, 52846, 51616, 50825, 51061, 74153, 54528, 53989, 51139, 50372, 52289, 58207, 61014, 51616, 50863, 67871, 51530, 55033, 50372, 52289, 56232, 51616, 50891, 69318, 51530, 51750, 62056, 51004, 52894, 50879, 54064, 54430, 52016, 51469, 51616, 50837, 69025, 51530, 53432, 56874, 50387, 52289, 51129, 50417, 51616, 50891, 69318, 51530, 51467, 53223, 51602, 50911, 51616, 50837, 69025, 51530, 51239, 78929, 55375, 51616, 50908, 75834, 51530, 51179, 74285, 52976, 51616, 50835, 51061, 50884, 51530, 54212, 50898, 62056, 64044, 51616, 50908, 68462, 51530, 51467, 52818, 51132, 52590, 51239, 50379, 52289, 58721, 51616, 50891, 69318, 51530, 51179, 67576, 51004, 55511, 51594, 56755, 51616, 50837, 51061, 50846, 51530, 51041, 74285, 57536, 51526, 50821, 51616, 50837, 69025, 51530, 51187, 50372, 52289, 56377, 51616, 50891, 69318, 51530, 51179, 67576, 53421, 51526, 50896, 51616, 50825, 51061, 74153, 54528, 53989, 51139, 50372, 52289, 63659, 61014, 51616, 50863, 67871, 51530, 55033, 50372, 52289, 56013, 51616, 50891, 69318, 51530, 51750, 62056, 50982, 54983, 51016, 53496, 52208, 51616, 50837, 69025, 51530, 53432, 51044, 50372, 52289, 57226, 51616, 50891, 69318, 51530, 51467, 53223, 51616, 50837, 69025, 51530, 51239, 78929, 55375, 51616, 50908, 75834, 51530, 51179, 74285, 54953, 51602, 50896, 51616, 50835, 51061, 50884, 51530, 54212, 50898, 62056, 64838, 51616, 50908, 68462, 51530, 51467, 52818, 53552, 50379 ]

[ 0, 250, 5679, 26709, 5175, 25771, 2214, 4246, 21072, 6, 3023, 4360, 25999, 6, 449, 337, 757, 3178, 6, 486, 118, 9877, 483, 6, 8, 21979, 8669, 6, 2351, 10, 19448, 8, 15352, 30054, 2369, 18795, 14, 115, 28, 341, 11, 10, 822, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 9, 13156, 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 ]

[ 56103, 50799, 59614, 50805, 57568, 50879, 51140, 50976, 60586, 50849, 51711, 59519, 52036, 58306, 52430, 65354, 50423, 57568, 50930, 51140, 50859, 60586, 52710, 58390, 50811, 51150, 50802, 56079, 55214, 57510, 50811, 51216, 50894, 57374, 51354, 50441, 59614, 54815, 57568, 50817, 68889, 50870, 60586, 55620, 57568, 55097, 59614, 54663, 57568, 50817, 68889, 50837, 51461, 50860, 56079, 64098, 52137, 51671, 52735, 52727, 51838, 51671, 50799, 63149, 50805, 58872, 68314, 50976, 55319, 59573, 58872, 50930, 51098, 50859, 55319, 52710, 62363, 50811, 51389, 50802, 54779, 55214, 60670, 50811, 51261, 50894, 59678, 51354, 50441, 63149, 54815, 58872, 50817, 60670, 50870, 55319, 55620, 58872, 55097, 63149, 54663, 58872, 50817, 60670, 50837, 51273, 50860, 54779, 64098, 51711, 51801, 52225, 51801, 52137, 53201, 50799, 58872, 50805, 58390, 50879, 51150, 50976, 56079, 59573, 58390, 50930, 51150, 50859, 56079, 52710, 65511, 50811, 52078, 50802, 55076, 55214, 64722, 50811, 51984, 50894, 55906, 51354, 50441, 58872, 54815, 58390, 50817, 66050, 50870, 56079, 55620, 58390, 55097, 58872, 54663, 58390, 50817, 66050, 50837, 51098, 50860, 55319, 50854, 50799, 58872, 50805, 58390, 50879, 51150, 50976, 56079, 76412, 51949, 53868, 58390, 50930, 51150, 50859, 56079, 66870, 52762, 65511, 50811, 52078, 50802, 55076, 50893, 51224, 54365, 52954, 52925, 64722, 50811, 51984, 50894, 55906, 51354, 51553, 57893, 52954, 55201, 58872, 50384, 53221, 73106, 52878, 58390, 50817, 66050, 50870, 56079, 50897, 51289, 51139, 65916, 60103, 52139, 55922, 66112, 63128, 55354, 51456, 53533, 58390, 54366, 64033, 55255, 62240, 56113, 63197, 53544, 53922, 58872, 50890, 55192, 55987, 61250, 53048, 53556, 58390, 50817, 66050, 50837, 51098, 50860, 55319, 53590, 64033, 76213, 59765, 55717, 57582, 62775, 65750, 54018, 54603, 53642, 56128, 54987, 60634, 51711, 51939, 52036, 51939, 52430, 52431, 53202, 51359, 50765, 50285, 51527, 57790, 50835, 61229, 54023, 50572, 55926, 57790, 50863, 61229, 53023, 62776, 50817, 63582, 50817, 57790, 50870, 61229, 55303, 53109, 62776, 50846, 63582, 50884, 57790, 50368, 52082, 52641, 58390, 50930, 60586, 50836, 57790, 51022, 61229, 50846, 61229, 65916, 64090, 58514, 58495, 52941, 55649, 62776, 50962, 63582, 51010, 53050, 50841, 57790, 50825, 50759, 50326, 50829, 50759, 50326, 71958, 68954, 56152, 52954, 56356, 51224, 53116, 56079, 50884, 53050, 50822, 50850, 51291, 50909, 51472, 51257, 51472, 50765, 50292, 51336, 58478, 50834, 61229, 50829, 61229, 51406, 51909, 54763, 63128, 53905, 62776, 50962, 63582, 64973, 53114, 62776, 50817, 63582, 50817, 53050, 50891, 53048, 50862, 60311, 50829, 61439, 50835, 50759, 50333, 51406, 52275, 55263, 54673, 62776, 50962, 63582, 57887, 58390, 50880, 60586, 50828, 53050, 50845, 64438, 50834, 50759, 50332, 75223, 56122, 59127, 53622, 56721, 51711, 53487, 52036, 53487, 52430, 55844, 50456, 62776, 50949, 63582, 76766, 50820, 61439, 50829, 50759, 50333, 59003, 53518, 50884, 50799, 59614, 50805, 57568, 50879, 51140, 50976, 60586, 50849, 53050, 50889, 51289, 50381, 55958, 56616, 64956, 51949, 53868, 57568, 50930, 51140, 50859, 60586, 66870, 52762, 58390, 50811, 51150, 50802, 56079, 50893, 51224, 54365, 52954, 60426, 53428, 52417, 57510, 50811, 51216, 50894, 57374, 51354, 51553, 57893, 52954, 53442, 53428, 58037, 59614, 50384, 53221, 73106, 58829, 53428, 54400, 57568, 50817, 68889, 50870, 60586, 50897, 51289, 51139, 65916, 60103, 52139, 55922, 66112, 63128, 55354, 51456, 53533, 57568, 50829, 55324, 52259, 64033, 55255, 62240, 56113, 63197, 53544, 53922, 59614, 50890, 55192, 55987, 53268, 57568, 50817, 68889, 50837, 51461, 50860, 56079, 50854, 54271, 53690, 64033, 76213, 59765, 55717, 57582, 62775, 65750, 54018, 54603, 53642, 56128, 54987, 60634, 63648, 50855, 51711, 51097, 52430, 51333, 52036, 50995, 53202, 51359, 50765, 50285, 51527, 57790, 50835, 61229, 54023, 50572, 56813, 61201, 66147, 57790, 50863, 61229, 53023, 62776, 50817, 63582, 50817, 63648, 51242, 57790, 50870, 61229, 55303, 53109, 62776, 50846, 63582, 50884, 57790, 50368, 52082, 58990, 51711, 51097, 52036, 51097, 52430, 64396, 58390, 50930, 60586, 50836, 61201, 50849, 57790, 51022, 61229, 50834, 61229, 65163, 64090, 58514, 58495, 52941, 75347, 63648, 53860, 62776, 50962, 63582, 51010, 57790, 50825, 50759, 50326, 50841, 50759, 50326, 67256, 68954, 56152, 52954, 56356, 51224, 58694, 54271, 50908, 51711, 52222, 52036, 52151, 52430, 52335, 50438, 56079, 50884, 55324, 50834, 53428, 56011, 51291, 50909, 51472, 51257, 51472, 50765, 50292, 51933, 58478, 50834, 61229, 50829, 61229, 51406, 51909, 54763, 63128, 53905, 62776, 50962, 63582, 64973, 53114, 62776, 50817, 63582, 50817, 55324, 50955, 60311, 50829, 61439, 50835, 50759, 50333, 51406, 52275, 55263, 54673, 62776, 50962, 63582, 57887, 58390, 50880, 60586, 50828, 54271, 50828, 64438, 50834, 50759, 50332, 75223, 56122, 59127, 53622, 57859, 54271, 53268, 62776, 50949, 63582, 50817, 61439, 50829, 50759, 50333, 59003, 53518, 50884, 53788, 51313, 54271, 51542, 76778, 50872, 51183, 50850, 51103, 61229, 50841, 61229, 75692, 56127, 61229, 50837, 61229, 50370, 52082, 52761, 62776, 51031, 63582, 50949, 61229, 50863, 61229, 76937, 54446, 51289, 52639, 58390, 51010, 60586, 50836, 50765, 50289, 50914, 61439, 50829, 61229, 58264, 59667, 53544, 51031, 50428, 52036, 51484, 51711, 51775, 52430, 51484, 50432, 62776, 50817, 63582, 51031, 54271, 50828, 64438, 50834, 50759, 50326, 64033, 54274, 53439, 51224, 57352, 54271, 53980, 56079, 50884, 55324, 56608, 52392, 50909, 52536, 51257, 52392, 50765, 50292, 51364, 60311, 50829, 61229, 65296, 56233, 63128, 50818, 51711, 51097, 52036, 50995, 52430, 51108, 50439, 53428, 77131, 62776, 50817, 63582, 55717, 52986, 55324, 51177, 58478, 50835, 50759, 50333, 59765, 55987, 54368, 62776, 50817, 63582, 56385, 58390, 50803, 60586, 50828, 54271, 51194, 57790, 50825, 50759, 50332, 64271, 53414, 62576, 53544, 51031, 51711, 50932, 52036, 51097, 52430, 51330, 50455, 63648, 54583, 62776, 50817, 63582, 50817, 61201, 50836, 58478, 50886, 74211, 75615, 57808, 50818, 53202, 51307, 61201, 50901, 50765, 50285, 51527, 57790, 50835, 61229, 54023, 50572, 50834, 51711, 50995, 52036, 50995, 52430, 51108, 50417, 57790, 50863, 61229, 63266, 63648, 77769, 62776, 50811, 63582, 50811, 57790, 50870, 61229, 55303, 53991, 57790, 63026, 51711, 50932, 52036, 50995, 52430, 64396, 58390, 50821, 60586, 50836, 61201, 51101, 57790, 51022, 61229, 50846, 61229, 57808, 58264, 68557, 52922, 52265, 62776, 50949, 63582, 51031, 63648, 50855, 57790, 50825, 50759, 50326, 50829, 50759, 50326, 65118, 55922, 53977, 55486, 51553, 57667, 54271, 50904, 51711, 51080, 52036, 51244, 52430, 51447, 50438, 56079, 50884, 55324, 56608, 51336, 50909, 51336, 51257, 51356, 50765, 50292, 51336, 58478, 50834, 61229, 50829, 61229, 51406, 51792, 54121, 60140, 65233, 59901, 53428, 51074, 50441, 51170, 53162, 62776, 51010, 63582, 50962, 54271, 50839, 60311, 50829, 61439, 50835, 50759, 50333, 51406, 52520, 56113, 52772, 58390, 50811, 60586, 50828, 54271, 50857, 55324, 50828, 64438, 50834, 50759, 50332, 75223, 55922, 59905, 55101, 52193, 62776, 50962, 63582, 50811, 55324, 50820, 61439, 50829, 50759, 50333, 59003, 53414, 54949, 68789, 51838, 50932, 52137, 50995, 52735, 51330, 53458, 51397 ]

[ 0, 713, 8787, 15855, 8, 3495, 24904, 2125, 1931, 21683, 10, 32076, 1619, 4780, 149, 63, 15352, 30054, 2017, 2485, 4, 2595, 10312, 23, 10, 182, 1769, 20889, 11, 5, 762, 9, 272, 538, 6, 24, 1575, 41, 27636, 11739, 9, 10170, 1499, 6, 6755, 12547, 6, 31391, 1672, 9590, 6, 1076, 560, 31365, 25999, 6, 8, 21979, 8669, 4, 20, 15229, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 19, 5, 33215, 13931, 211, 406, 6, 272, 6, 230, 6, 8, 272, 8165, 5705, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50642, 59015, 51832, 50796, 51768, 51832, 60859, 51832, 51955, 51832, 50799, 51531, 51016, 51093, 51016, 50425, 51666, 60823, 51107, 53585, 51531, 51346, 51908, 51112, 51416, 66984, 58054, 60538, 50866, 50439, 51093, 51100, 51266, 60866, 74432, 50909, 50948, 50868, 50948, 51531, 51112, 51908, 51345, 50816, 50937, 50451, 51093, 51345, 51266, 51238, 64170, 51173, 50909, 51158, 50868, 51158, 51908, 51048, 51871, 66404, 51121, 50415, 51266, 51116, 51182, 68586, 52330, 50991, 51357, 51460, 51201, 51235, 51684, 63783, 52229, 50878, 50427, 51691, 69203, 50872, 50940, 50847, 50940, 50935, 50940, 52330, 51016, 51691, 51345, 50816, 50925, 50439, 51357, 51175, 51201, 67702, 50935, 51173, 50872, 57753, 51173, 51691, 51345, 52368, 51112, 51357, 51238, 51201, 51238, 51284, 51124, 50816, 50937, 50461, 51531, 50967, 51871, 51116, 51908, 51095, 66439, 53236, 54158, 51101, 50415, 51093, 50967, 51182, 51111, 51266, 51111, 50425, 51871, 51346, 50426, 65420, 50868, 50948, 64017, 51531, 51175, 51908, 51238, 51093, 50805, 51266, 50938, 51182, 50938, 52474, 63759, 58866, 50935, 58521, 57753, 50893, 51994, 51095, 51666, 51235, 51691, 51290, 51088, 51116, 51357, 50991, 51201, 51235, 51684, 63759, 57824, 51531, 50967, 51994, 51060, 51908, 51060, 51416, 52299, 52229, 51101, 50451, 51266, 50938, 51088, 50805, 51093, 50879, 50461, 52498, 51112, 51531, 51235, 51873, 50967, 61464, 56548, 50924, 50909, 71585, 51215, 51154, 50991, 51093, 51227, 51349, 54565, 57499, 50872, 51227, 50992, 51227, 51007, 51345, 52498, 51095, 51666, 51345, 53094, 51238, 51154, 50967, 51107, 50967, 51375, 51238, 51602, 77068, 58020, 51994, 50991, 51531, 51235, 51908, 51345, 51093, 51060, 51088, 51623, 51266, 51111, 51137, 66984, 52229, 65295, 72527, 51149, 50830, 50909, 51033, 51908, 51235, 51871, 51290, 50816, 50925, 50451, 51994, 51233, 51182, 50805, 51266, 51095, 50461, 51994, 51116, 59007, 51173, 50847, 51173, 50909, 51173, 51531, 50991, 51908, 51238, 50816, 50937, 50415, 51093, 50865, 51266, 50938, 50425, 52330, 51294, 50426, 51994, 50991, 51666, 51362, 51154, 51377, 51088, 51162, 51357, 50914, 68831, 54311, 77609, 52229, 68535, 50847, 78139, 65714, 50948, 51994, 51661, 51088, 51158, 51154, 52504, 58460, 50847, 66812, 56674, 50911, 51871, 50991, 52330, 50980, 51182, 51048, 51137, 63759, 50925, 50451, 51357, 51160, 75696, 51237, 52619, 52071, 51531, 51945, 51994, 52069, 51301, 52069, 51088, 52069, 51093, 51605, 51416, 52299, 52229, 53172, 50847, 50824, 51137, 63759, 53627, 50816, 53415, 50868, 50824, 51374, 60746, 53639, 50885, 51362, 51338, 51932, 50798, 64322, 50937, 51206, 54567, 51043, 50796, 50437, 51652, 51735, 50438, 52619, 51141, 51994, 51218, 51338, 57044, 54158, 65295, 62486, 71041, 50868, 62283, 74304, 52619, 51189, 73935, 52097, 71873, 60104, 60154, 51994, 73321, 75262, 54311, 57393, 52229, 69587, 52619, 51077, 51994, 51191, 51531, 51364, 50438, 51643, 51761, 50909, 55363, 55969, 72819, 57824, 72976, 50909, 51116, 73949, 50816, 51121, 50455, 51652, 61063, 51994, 50952, 50461, 52372, 51541, 51871, 51413, 50799, 51531, 51413, 51908, 51413, 51338, 73088, 54158, 54278, 69230, 65940, 50909, 58895, 72538, 52372, 51014, 51531, 51124, 51871, 51110, 51908, 51377, 50438, 50909, 51204, 67826, 50847, 51204, 50816, 73697, 52372, 68660, 51908, 51047, 51871, 51183, 51531, 51047, 54311, 76727, 54158, 50866, 59007, 55175, 50830, 50847, 52390, 50937, 50425, 51652, 76812, 50868, 62641, 50889, 50847, 50807, 51994, 62909, 50873, 50437, 52372, 51362, 50438, 51871, 51351, 51181, 57520, 54158, 50866, 50439, 52330, 51204, 51691, 70447, 70384, 60001, 50935, 58895, 50925, 50799, 52372, 51014, 50935, 51204, 50872, 51204, 79167, 52330, 50938, 51871, 50977, 51691, 56099, 63559, 52372, 51551, 52330, 51295, 51871, 51310, 51691, 51191, 54311, 57044, 54158, 54014, 78333, 50847, 64582, 52390, 50925, 50449, 51993, 50980, 51994, 51346, 51691, 51159, 52330, 59323, 50935, 51159, 78762, 50847, 70229, 50937, 70733, 51196, 52330, 51189, 51994, 50983, 51908, 51141, 51857, 57520, 54158, 53172, 50868, 61914, 55990, 56867, 58866, 51633, 51566, 50847, 51073, 50935, 76800, 51227, 50872, 51227, 52498, 51178, 52330, 51110, 51666, 51116, 51994, 51194, 50816, 50937, 50449, 51643, 51496, 51994, 51790, 50450, 51531, 51790, 52619, 51452, 51338, 73088, 52229, 50878, 50799, 58797, 50847, 55175, 58895, 57499, 50847, 55729, 50808, 50909, 52390, 58020, 51652, 51226, 52619, 51204, 51994, 51191, 51338, 70312, 52229, 56060, 72803, 60304, 50909, 52504, 76888, 51652, 51285, 52619, 51100, 51994, 51111, 64170, 51141, 50909, 51204, 50868, 51191, 50816, 50873, 50425, 52619, 51692, 51994, 62479, 54311, 57044, 52229, 74029, 51643, 51541, 51531, 51413, 51908, 72600, 50847, 57750, 51100, 50868, 56099, 58460, 74877, 60172, 50847, 55107, 50937, 50454, 51652, 50936, 50455, 51994, 50865, 50460, 52372, 51274, 50461, 51994, 51295, 51531, 52136, 50799, 51908, 51141, 51871, 51218, 51338, 57044, 54158, 54278, 66732, 69196, 50847, 58895, 72538, 52372, 64104, 79838, 50909, 51189, 50868, 51189, 51871, 50897, 51531, 50942, 51908, 56949, 50925, 50448, 52372, 51661, 50450, 51531, 51145, 51908, 51183, 51871, 51047, 54311, 57044, 52229, 50845, 50799, 58797, 57137, 50909, 52390, 66031, 51652, 50980, 51994, 52910, 74877, 60172, 50847, 59451, 50937, 50437, 52372, 51541, 50438, 52330, 51295, 51691, 51189, 51871, 51391, 51181, 57520, 74314, 54356, 50847, 60877, 73044, 52704, 62659, 52372, 51030, 51871, 50892, 52330, 50977, 51691, 50917, 50799, 59853, 77295, 50872, 59451, 50937, 50425, 51871, 51115, 52330, 51115, 51691, 74978, 52372, 51285, 54311, 70312, 54158, 68535, 56371, 57137, 50935, 52390, 62955, 51993, 72208, 77295, 50872, 50889, 59853, 51994, 51111, 52330, 51100, 51691, 74451, 50937, 50461, 52113, 51551, 79704, 51141, 52330, 51103, 51908, 51077, 51857, 61846, 54158, 54278, 75329, 50935, 50952, 50868, 53373, 61169, 51994, 51346, 51666, 52424, 51633, 51566, 50848, 75345, 51290, 50935, 51013, 52498, 51346, 50816, 50925, 50449, 51643, 52311, 50450, 51531, 51422, 52619, 51790, 51994, 51790, 51338, 57044, 74314, 50866, 50799, 58797, 80243, 50847, 52704, 53049, 50868, 51162, 50847, 51377, 50909, 68215, 73320, 51633, 51274, 53438, 53259, 51666, 51056, 51349, 51009, 52531, 51024, 56060, 50944, 55175, 50830, 50848, 52390, 50925, 50451, 51666, 50967, 65755, 51045, 50944, 70902, 51013, 68456, 51666, 51346, 50816, 50925, 50425, 51666, 52910, 51633, 51054, 51181, 56681, 52229, 74029, 52113, 63418, 50944, 55175, 69855, 50800, 51908, 55107, 50937, 50449, 53179, 51454, 50450, 50944, 51013, 50909, 76800, 50807, 52939, 50914, 51531, 63591, 50937, 50461, 52372, 51496, 50799, 51871, 51145, 52330, 51675, 51137, 61846, 52229, 50878, 50415, 51994, 51677, 57189, 50830, 50935, 50910, 50847, 53373, 72538, 51633, 52322, 76168, 50848, 55278, 50889, 51666, 58162, 50925, 50449, 51633, 51745, 52330, 51073, 51666, 52728, 51181, 56681, 52229, 75166, 51643, 51566, 51873, 50914, 51531, 50889, 57342, 50830, 74797, 50847, 58162, 50925, 50424, 52135, 51566, 50425, 51994, 51095, 52330, 51157, 57189, 51048, 50935, 51157, 50847, 51346, 50816, 50925, 50436, 51633, 52097, 50437, 51666, 51103, 53438, 51562, 54585, 57520, 54158, 54356, 61325, 69393, 50909, 53373, 50925, 50460, 51667, 51173, 71755 ]

[ 0, 250, 19448, 15855, 2125, 4246, 41, 21979, 8669, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 657, 8, 36474, 13005, 6, 442, 24, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 8504, 11, 5, 762, 9, 211, 3694, 19, 10, 2635, 20889, 9, 1812, 13410, 228, 2289, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 211, 119, 8, 83, 6, 2351, 10, 32625, 8, 5679, 26709, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57448, 50445, 51131, 51422, 50960, 51123, 50960, 52151, 50446, 50947, 52140, 50448, 51067, 52140, 50796, 50436, 53729, 53980, 51788, 50941, 50440, 52866, 50908, 51563, 61577, 51563, 53783, 51786, 60812, 51788, 54492, 51788, 60062, 51563, 58351, 51786, 50837, 51563, 50837, 51786, 50837, 51438, 50863, 51292, 67512, 51549, 56597, 51549, 54194, 51067, 64853, 51438, 57059, 51438, 65736, 51549, 50874, 51809, 51032, 76430, 50947, 51006, 50425, 50947, 51283, 50947, 51803, 50457, 50986, 51080, 50458, 51136, 51417, 50460, 50929, 51391, 50796, 50430, 50947, 64759, 51169, 59370, 50929, 54123, 51444, 52727, 50440, 51131, 51449, 50442, 50960, 51518, 50444, 51078, 52431, 50796, 50455, 50960, 50971, 51131, 51592, 50456, 50947, 52140, 50457, 50960, 52980, 51067, 52528, 50796, 50444, 53729, 54417, 51788, 58914, 52866, 50870, 51563, 50891, 51786, 52846, 51563, 57168, 51786, 66663, 51788, 53553, 51788, 67321, 51563, 57950, 51786, 55053, 51438, 50870, 51292, 50870, 51549, 63414, 51549, 50854, 51601, 51067, 64685, 51438, 54448, 51549, 58116, 51032, 52580, 50947, 51006, 50431, 50947, 51080, 50459, 50986, 51080, 50461, 51136, 51397, 51601, 50929, 51542, 50433, 50947, 57581, 51169, 58159, 50929, 57366, 51444, 52151, 50444, 51131, 54171, 50445, 50960, 51692, 50447, 51078, 53486, 50796, 50445, 51444, 51148, 55753, 52028, 52654, 51131, 57250, 50986, 60733, 51317, 50820, 50960, 56565, 51136, 58927, 72259, 50443, 51136, 53162, 50998, 61719, 57013, 51078, 77828, 50837, 51169, 57785, 50947, 51627, 55753, 50929, 51310, 50440, 51078, 53783, 50929, 77828, 55118, 60674, 50451, 50929, 64314, 51078, 53922, 51078, 64833, 50970, 50829, 50998, 50829, 51136, 52579, 51136, 54678, 66559, 66474, 56624, 50970, 50820, 51136, 54611, 50960, 56554, 50986, 53450, 51246, 51043, 50986, 53908, 51131, 68099, 51207, 62738, 51131, 58545, 51207, 56069, 52028, 62813, 52562, 61230, 51444, 64732, 51725, 61348, 51725, 50820, 53271, 59697, 53271, 50828, 52012, 50917, 76572, 55376, 53092, 50839, 51725, 50820, 53805, 63749, 51444, 55138, 52562, 63897, 51444, 51101, 50451, 53805, 65556, 54432, 52826, 52177, 50929, 52441, 50960, 52256, 50425, 51246, 57648, 50960, 51679, 69695, 50439, 51131, 51381, 51078, 51737, 50447, 51078, 51481, 50960, 51884, 50455, 51444, 51542, 51601, 50986, 51645, 50416, 50960, 51337, 50417, 78249, 50424, 54432, 55844, 50435, 50929, 52618, 64226, 50442, 51246, 51330, 50449, 50960, 51419, 50929, 57092, 51078, 52518, 51131, 51419, 51809, 51078, 52063, 50960, 52063, 50424, 51444, 52140, 50433, 73430, 50441, 51064, 58900, 54432, 53233, 51076, 59692, 51032, 53027, 51316, 50837, 51067, 51965, 50454, 71539, 51064, 51043, 50459, 51246, 51241, 74080, 52441, 50422, 51064, 51884, 50423, 50960, 51210, 50430, 51131, 51642, 50436, 51032, 64643, 51067, 59356, 51549, 61118, 51549, 50829, 51444, 51333, 50443, 51438, 57013, 51549, 57764, 51067, 53938, 51067, 50820, 51549, 64703, 51438, 70566, 54432, 53259, 51067, 62662, 51067, 51419, 52177, 50960, 51333, 51064, 51277, 50422, 51246, 51310, 50424, 51067, 52256, 50432, 51064, 51642, 50433, 70698, 50441, 51131, 51337, 50446, 51032, 54105, 51067, 64732, 51549, 50864, 51444, 51803, 50454, 51438, 55293, 51549, 51126, 50458, 51067, 61764, 51549, 50836, 51601, 51438, 70630, 54432, 54143, 50420, 51067, 51381, 50428, 50960, 51466, 51064, 51277, 50433, 51246, 51391, 50435, 51067, 51333, 50443, 51064, 51254, 50960, 52192, 50451, 51131, 51109, 50457, 51316, 62800, 51067, 50822, 51809, 51292, 51123, 51444, 51803, 50419, 51786, 69264, 51563, 53868, 51563, 65869, 52866, 59509, 51788, 52976, 51788, 66765, 53019, 66059, 53019, 58672, 54432, 56515, 50436, 51064, 51295, 51067, 51419, 50438, 53019, 51022, 50442, 51788, 60073, 51444, 51419, 50446, 51563, 54284, 51788, 51126, 50448, 51563, 77765, 51067, 51254, 51064, 51058, 50460, 51131, 51391, 52591, 51786, 55266, 51788, 52524, 51786, 56789, 51549, 50822, 51444, 51679, 50432, 51032, 51328, 50435, 50947, 50955, 50439, 51078, 58545, 50970, 59721, 50998, 50825, 50998, 53027, 51067, 52011, 54432, 54249, 50452, 50960, 51254, 50457, 51246, 51351, 50460, 51067, 51775, 52591, 51064, 52063, 70183, 50427, 51131, 51253, 50436, 67522, 50439, 51032, 50834, 66946, 50442, 51064, 50870, 50947, 50835, 51444, 53201, 50443, 51064, 71583, 58985, 50449, 51064, 52743, 66703, 50452, 51032, 68384, 50947, 51174, 50460, 54432, 54373, 50461, 51064, 51391, 60212, 68827, 50430, 51076, 51314, 50440, 71657, 50970, 52441, 50449, 51207, 51480, 50459, 50960, 51387, 50460, 70850, 50799, 51076, 55376, 51067, 54275, 51207, 70316, 50418, 51438, 73489, 51786, 53744, 51563, 50834, 52866, 74257, 51563, 51051, 50436, 50986, 51330, 51438, 56305, 51563, 56819, 51438, 69864, 51292, 57502, 51549, 57522, 51549, 50822, 51032, 62077, 51067, 52805, 51136, 51391, 50452, 50929, 51309, 50453, 51067, 51481, 50461, 71314, 72243, 53024, 50419, 51316, 51126, 50424, 51444, 51318, 51549, 63024, 51067, 68564, 51549, 55028, 51292, 50837, 51786, 62618, 51786, 50839, 51563, 60462, 51786, 56030, 51788, 59572, 51788, 53574, 51563, 68273, 52866, 54905, 51788, 59144, 53019, 60362, 53019, 50822, 51444, 56599, 50446, 51788, 54914, 53729, 63078, 53729, 55634, 53568, 50982, 52866, 51129, 51563, 51129, 50451, 51786, 51851, 50453, 51563, 68357, 51786, 55293, 51788, 62662, 51788, 57187, 51563, 59025, 51786, 50837, 51438, 50863, 51292, 50863, 51549, 50870, 50799, 51549, 74714, 69554, 50419, 51438, 63630, 51549, 63339, 51032, 60950, 50947, 75988, 50929, 71588, 50929, 52192, 50434, 51136, 60831, 60917, 51078, 70511, 51444, 51244, 50439, 51078, 51642, 50443, 78348, 50448, 54432, 51452, 50459, 50929, 51709, 72377, 52478, 52562, 51109, 50425, 78445, 51246, 51166, 50429, 51444, 52378, 50432, 58999, 51351, 50439, 50986, 51025, 51169, 51884, 50446, 54432, 51961, 50447, 51444, 51961, 50455, 51078, 52063, 51131, 54298, 50960, 51884, 51601, 54432, 51790, 50422, 50929, 51419, 51246, 51679, 50430, 52562, 56389, 51246, 51753, 50929, 51277, 50446, 58999, 51391, 50454, 51169, 52059, 50986, 51309, 50459, 54432, 52256, 60533, 52015, 50422, 51131, 50933, 50960, 51177, 50429, 51064, 58854, 54432, 54249, 51076, 56657, 51032, 52953, 51316, 57107, 51067, 51542, 50439, 69947, 51064, 51109, 50445, 51246, 51310, 50449, 51067, 51542, 50457, 50960, 54887, 51064, 51309, 52177, 51131, 51400, 50424, 51032, 63024, 51067, 56789, 51549, 60286, 51549, 50857, 51444, 51148, 50432, 51438, 65312, 51549, 64359, 51067, 53269, 51067, 50835, 51549, 59138, 51438, 50878, 50445, 51067, 51679, 54432, 58651, 50453, 51064, 51242, 71539, 50458, 51246, 51134, 50460, 51067, 51679, 52591, 70698, 51064, 51753, 50428, 51131, 77313, 51032, 61842, 51067, 50822, 50440, 51444, 51145, 51549, 63776, 51438, 68937, 51549, 51126, 50446, 51067, 64598, 51549, 65780, 51438, 65002, 54432, 53487, 50455, 51067, 51542, 50799, 51064, 51328, 50415, 50960, 51051, 50419, 51246, 51241, 50422, 51067, 51709, 50430, 79748, 50960, 51210, 50437, 51131, 51255, 50443, 51316, 58638, 51067, 54385, 51292, 50844, 51444, 51452, 50453, 51292, 50829, 51786, 66968, 51563, 53555, 51563, 61688, 52866, 54026, 51788, 58841, 51788, 50942, 51809, 51788, 50839, 53019, 65314, 54432, 52335, 50421, 51064, 51391, 50422, 51067, 51542, 50424, 53019, 67322, 51788, 77285, 51444, 51679, 51563 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 15855, 16882, 6, 4246, 21979, 8669, 6, 13305, 6, 2003, 38704, 31365, 25999, 6, 21979, 9590, 6, 8, 3459, 8669, 4, 8504, 11, 5, 762, 9, 274, 3694, 19, 10, 7212, 20889, 6, 24, 7630, 6568, 10, 19448, 8, 2365, 5466, 6, 1969, 13, 5, 1619, 191, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 19, 5, 40286, 230, 406, 8, 274, 119, 36830, 5705, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 54204, 51100, 70864, 61531, 58386, 50882, 51729, 50942, 51543, 50933, 52459, 51008, 51863, 52440, 52036, 52147, 52735, 52440, 50420, 54021, 51157, 54547, 52102, 51267, 51414, 51267, 51825, 51267, 50426, 57713, 56897, 59268, 50800, 51729, 50977, 51543, 51142, 52459, 67673, 51793, 50937, 54547, 52102, 50933, 51303, 50933, 51414, 50933, 51786, 52446, 51793, 51111, 57713, 56897, 59268, 50812, 51513, 51051, 51355, 51058, 51536, 51254, 51656, 52440, 52340, 52147, 52036, 52440, 51504, 50889, 51136, 50889, 69160, 51438, 52815, 51150, 51121, 54547, 51687, 51267, 51249, 51267, 52109, 51267, 52948, 51267, 51549, 52596, 51216, 51121, 57713, 56897, 59268, 50800, 51513, 51142, 51355, 51174, 51536, 69096, 51140, 50805, 70864, 54791, 63102, 52965, 50596, 50800, 51687, 50933, 51303, 50933, 51249, 50933, 51327, 50933, 51513, 50873, 51355, 50901, 51536, 50892, 51316, 50808, 75289, 51032, 50808, 54204, 54312, 54092, 55629, 51861, 50882, 51729, 50942, 51543, 50933, 52459, 51008, 51863, 52440, 52036, 52147, 52735, 52440, 53271, 50805, 67830, 51064, 50805, 51316, 52864, 51261, 50889, 54547, 52102, 51267, 51414, 51267, 51825, 51267, 50426, 57713, 54336, 59268, 50800, 51729, 50977, 51543, 51142, 52459, 67673, 51793, 54367, 50822, 52102, 50933, 51303, 50933, 51414, 50933, 51549, 52446, 67603, 57713, 54336, 59268, 50812, 51687, 51047, 51651, 51047, 51249, 51047, 51327, 51047, 51513, 51051, 51355, 51058, 51536, 51254, 51656, 52440, 52340, 52440, 51504, 50889, 51136, 50889, 69160, 51316, 52815, 50804, 56897, 50822, 51032, 50805, 52612, 52843, 51140, 50915, 57713, 50812, 62807, 59268, 50800, 51513, 51142, 51355, 51174, 51536, 69096, 70864, 54791, 63102, 52965, 50596, 50800, 51513, 50873, 51355, 50901, 51536, 50892, 51064, 53848, 78129, 54204, 54312, 54092, 50812, 66707, 50882, 52102, 51047, 51414, 51047, 51825, 51047, 51729, 50942, 51543, 50933, 52459, 51008, 51863, 52440, 52036, 52440, 53271, 50805, 74987, 67830, 51064, 52864, 51261, 57038, 52921, 57713, 56897, 59268, 50800, 51729, 50977, 51543, 51142, 52459, 67673, 51793, 54367, 50822, 51504, 52446, 67603, 57713, 56897, 59268, 50812, 51687, 51047, 51719, 51047, 51249, 51047, 52109, 51047, 51513, 51051, 51355, 51058, 51536, 51254, 51656, 52440, 52340, 52147, 52036, 52440, 58397, 55480, 50856, 53140, 51140, 50915, 57713, 56897, 59268, 50800, 51513, 51142, 51355, 51174, 51536, 51376, 51504, 55069, 70864, 56558, 63102, 52965, 50596, 50800, 51513, 50873, 51355, 50901, 51536, 60977, 52365, 50822, 54204, 51100, 57986, 55629, 51861, 50882, 51729, 50942, 51543, 50933, 52459, 51008, 51863, 52440, 52036, 52147, 52735, 52440, 50420, 54021, 51157, 54547, 52102, 51267, 51414, 51267, 51825, 51267, 50423, 52365, 71607, 57713, 56897, 59268, 58915, 50812, 51729, 50977, 51543, 51142, 52459, 51051, 53271, 52605, 51793, 50937, 54547, 52102, 50933, 51303, 50933, 51414, 56180, 51793, 50943, 57713, 56897, 59268, 77083, 50810, 51513, 51051, 51355, 51058, 51536, 51254, 51656, 52440, 52340, 52147, 52036, 52440, 56752, 60573, 50812, 51687, 51267, 51719, 51267, 51249, 51267, 52109, 51267, 51504, 59414, 52365, 53140, 51150, 50981, 57713, 56897, 59268, 58915, 50812, 51513, 51142, 51355, 51174, 51536, 51376, 58397, 63433, 52365, 53820, 70864, 54791, 63102, 52965, 50596, 50812, 51687, 50933, 51303, 50933, 51249, 50933, 51327, 50933, 51513, 50873, 51355, 50901, 51536, 60977, 52365, 50822, 54204, 50915, 51935, 51610, 51907, 51420, 62691, 50810, 52102, 50981, 51414, 50981, 51825, 50981, 51729, 50942, 51543, 50933, 52459, 51008, 50417, 51553, 59078, 52921, 51140, 50915, 59417, 51420, 50822, 53075, 50915, 51303, 50915, 51513, 50866, 51355, 50974, 51536, 51074, 51361, 52691, 51261, 50915, 59417, 59734, 58290, 50812, 55285, 50915, 52102, 50995, 51414, 50995, 51825, 50995, 51729, 50942, 51543, 50933, 52459, 51008, 51180, 65689, 54803, 51224, 53567, 51560, 51162, 59417, 50812, 51230, 55801, 50810, 56139, 50915, 51476, 50995, 51687, 50995, 51719, 50995, 51414, 50995, 51223, 50866, 51659, 50974, 51543, 51074, 52028, 50889, 51078, 50889, 54598, 50943, 67966, 50943, 57355, 50943, 53152, 79075, 51224, 55346, 51930, 50805, 70864, 64817, 54791, 50882, 52198, 65689, 50800, 53202, 50943, 51935, 51610, 51907, 51420, 55456, 50800, 53075, 51313, 51687, 51452, 51249, 51742, 51327, 52168, 51513, 50942, 51355, 50933, 51536, 51008, 51504, 50805, 67830, 52861, 50873, 68645, 50873, 54978, 50873, 52103, 50873, 68072, 51793, 50943, 59417, 51420, 50822, 51513, 50977, 51355, 51142, 51536, 51051, 76901, 51136, 50889, 51361, 50822, 58397, 50805, 69604, 54598, 50873, 68645, 50873, 57355, 50873, 53152, 54233, 51150, 50943, 59417, 51420, 50822, 51513, 51058, 51355, 51254, 51536, 51376, 51504, 50805, 70804, 52861, 50873, 68645, 50873, 54978, 50873, 52103, 50873, 63047, 51327, 73580, 51216, 51121, 59417, 64133, 51249, 51645, 51513, 51006, 51355, 52192, 51536, 52192, 50456, 51150, 50937, 70864, 54791, 50882, 51687, 50857, 51513, 50873, 51355, 50901, 51536, 50845, 58397, 50805, 51131, 50805, 51136, 50805, 54598, 50873, 68645, 50873, 57355, 50873, 53152, 50873, 75289, 53202, 50943, 70864, 51589, 50800, 53075, 51445, 51687, 51790, 51249, 51742, 51327, 52168, 51513, 50978, 51355, 50972, 51536, 50974, 51504, 50805, 67830, 52861, 50873, 68645, 50873, 54978, 50873, 52103, 50873, 56911, 66309, 53037, 50873, 57624, 50873, 57454, 50873, 52489, 53890, 51793, 50943, 59417, 51420, 50822, 51513, 50878, 51355, 51008, 51536, 50933, 51136, 50805, 66309, 51032, 50805, 51756, 50873, 52155, 50873, 53862, 50873, 51683, 50873, 51361, 50822, 58397, 52446, 51150, 50943, 59417, 51420, 50822, 51513, 50959, 51355, 52192, 51536, 51376, 51504, 50805, 63047, 51327, 75926, 51216, 51178, 59417, 64133, 51249, 50995, 51513, 50866, 51355, 51174, 51536, 51174, 58397, 50889, 76901, 51136, 50889, 51078, 50889, 54598, 50943, 68645, 50943, 57355, 50943, 53152, 58705, 51150, 50937, 70864, 55603, 50882, 51687, 50937, 51513, 50901, 51355, 50845, 51536, 50892, 54204, 50889, 51935, 51610, 51907, 51420, 50800, 52102, 51293, 51414, 51293, 51825, 51293, 51729, 50942, 51543, 50933, 52459, 51008, 53271, 50805, 67830, 52861, 50873, 57789, 50873, 54978, 50873, 52103, 50873, 68072, 54021, 51003, 59417, 51420, 50822, 51729, 50977, 51543, 51142, 52459, 51051, 51246, 50889, 51317, 50889, 51361, 50822, 58397, 50805, 69604, 54598, 50873, 55830, 50873, 57355, 50873, 53152, 54233, 51793, 50943, 59417, 51420, 50822, 51729, 51058, 51543, 51254, 52459, 51376, 53271, 50805, 67830, 52861, 50873, 57789, 50873, 54978, 50873, 52103, 50873, 63047, 55386, 79766, 51868, 50978, 59417, 64133, 51825, 50995, 51729, 51006, 51543, 52192, 52459, 52192, 51246, 50889, 51317, 55069, 51216, 50897, 70864, 54791, 50882, 52932, 50838, 51729, 50873, 51543, 50901, 52459, 50845, 58397, 50805, 69604, 54598, 50873, 67966, 50873, 57355, 50873, 53152, 50873, 75289, 54204, 51310, 50804, 51589, 50800, 55285, 51148, 52102, 51148, 51414, 51148, 52109, 51703, 51729, 50942, 51543, 50933, 52459, 51008, 67830, 52861, 50873, 57789, 50873, 54978, 50873, 52103, 50873, 56911, 51064, 50805, 52280, 50873, 57789, 50873, 54899, 50873, 51906, 53890, 59417, 53497, 64176, 51729, 50977, 51543, 51142, 52459, 51051 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 25771, 2214, 19, 10, 980, 219, 8, 3366, 219, 16464, 6, 4246, 23338, 33518, 1264, 6, 13602, 6757, 6, 12280, 3275, 1725, 3109, 6, 3459, 8669, 6, 8, 38668, 11212, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 7212, 20889, 9, 8017, 741, 1685, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 163, 428, 406, 6, 12608, 73, 387, 428, 6, 2060, 6, 8, 12608, 119, 1176, 406, 3639, 7, 5, 2214, 18, 5679, 26709, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 51287, 50399, 50426, 51287, 50399, 50438, 51287, 50399, 50450, 51287, 50399, 55563, 51381, 51223, 50838, 51513, 77541, 50288, 51381, 70876, 54880, 58253, 50838, 50416, 61144, 52062, 50420, 52007, 56700, 56909, 51223, 50827, 51513, 52580, 52943, 50838, 51781, 55284, 58253, 53052, 52527, 50838, 51105, 51381, 51781, 77541, 50283, 51381, 50804, 58253, 52718, 51513, 53656, 58253, 53624, 52943, 50838, 51781, 58253, 52985, 52527, 51484, 51325, 51484, 51513, 77541, 50288, 51484, 50804, 58253, 53581, 51223, 58253, 50838, 52354, 51381, 52007, 50838, 51223, 50838, 72410, 51381, 57571, 63854, 58253, 54177, 51425, 56700, 56909, 52007, 50827, 51223, 52580, 51850, 50838, 51262, 55284, 58253, 53052, 51756, 50838, 51133, 51381, 51262, 50838, 62613, 51381, 50804, 58253, 52718, 51223, 53656, 58253, 53624, 51850, 50838, 51262, 58253, 52985, 51756, 51484, 50945, 51484, 51262, 50838, 72410, 51484, 50804, 58253, 53581, 51223, 58253, 50838, 55563, 51381, 51223, 50838, 51513, 77541, 50288, 51381, 70876, 63854, 58253, 54177, 52007, 56700, 56909, 51223, 50827, 51513, 52580, 52943, 50838, 51781, 55284, 58253, 53052, 52527, 50838, 51105, 51381, 51781, 77541, 50283, 51381, 50804, 58253, 52718, 51513, 53656, 58253, 53624, 52943, 50838, 51781, 58253, 52985, 52527, 51484, 51325, 51484, 51513, 77541, 50288, 51484, 50804, 58253, 53581, 51223, 58253, 50838, 53870, 51381, 51250, 50838, 51543, 77541, 50283, 51381, 56917, 51243, 58828, 51243, 61535, 63854, 58253, 54177, 51513, 56700, 56909, 51250, 50827, 51543, 52580, 53016, 50838, 52459, 55284, 58253, 53052, 51992, 50838, 51186, 51381, 52459, 50838, 64770, 51381, 50804, 58253, 52718, 51543, 53656, 58253, 53624, 52527, 50838, 52459, 58253, 52985, 52280, 51484, 51105, 51484, 51543, 77541, 50283, 51484, 50804, 58253, 53581, 51250, 58253, 50838, 50799, 53952, 50838, 51325, 51381, 51223, 50838, 51513, 77541, 50288, 51381, 58683, 50838, 70876, 54880, 53284, 75327, 50838, 50416, 61144, 52062, 50420, 56676, 50838, 52007, 50827, 60914, 53284, 56909, 51223, 50827, 51513, 52580, 56676, 50838, 52943, 50838, 51781, 50838, 60914, 55284, 53284, 53052, 55561, 50838, 52527, 50838, 51105, 51381, 51781, 77541, 50283, 51381, 53382, 55284, 53284, 52718, 55561, 50838, 51513, 50838, 53382, 53656, 53284, 53624, 55745, 50838, 52943, 50838, 51781, 50838, 53640, 55559, 52985, 55745, 50838, 52527, 51484, 51325, 51484, 51513, 77541, 50288, 51484, 53640, 55284, 53284, 53581, 60587, 50838, 51223, 50838, 54073, 76474, 50799, 55745, 51484, 52022, 51381, 51262, 50838, 51781, 50838, 66819, 51381, 53640, 51484, 79358, 51243, 57571, 63854, 53284, 54177, 51729, 54225, 56909, 51262, 50827, 51781, 52580, 60587, 50838, 52861, 50838, 52459, 50838, 54073, 55284, 53284, 53052, 60587, 51680, 52840, 50838, 51325, 51381, 52459, 77541, 50288, 51381, 54073, 51680, 50804, 53284, 52718, 51781, 53656, 53284, 53624, 52861, 50838, 52459, 53284, 52985, 52840, 51484, 52022, 51484, 52459, 50838, 66819, 51484, 50804, 53284, 53581, 51781, 76474, 50799, 53952, 50838, 51325, 51381, 51223, 50838, 51513, 77541, 50288, 51381, 58683, 50838, 70876, 51243, 61144, 63854, 53284, 54177, 56676, 50838, 52007, 50827, 60914, 53284, 56909, 51223, 50827, 51513, 52580, 56676, 50838, 52943, 50838, 51781, 50838, 60914, 55284, 53284, 53052, 55561, 50838, 52527, 50838, 51105, 51381, 51781, 77541, 50283, 51381, 53382, 55284, 53284, 52718, 55561, 50838, 51513, 50838, 53382, 53656, 53284, 53624, 55745, 50838, 52943, 50838, 51781, 50838, 53640, 55559, 52985, 55561, 50838, 52527, 51484, 51325, 51484, 51513, 77541, 50288, 51484, 53382, 55284, 53284, 53581, 56676, 50838, 51223, 50838, 60914, 76474, 50799, 56676, 51627, 51105, 51381, 51250, 50838, 51543, 77541, 50283, 51381, 60914, 51627, 56917, 51243, 58828, 51243, 61535, 63854, 53284, 54177, 51513, 54225, 56909, 51250, 50827, 51543, 52580, 53016, 50838, 52459, 55284, 53284, 53052, 51992, 50838, 51186, 51381, 52459, 50838, 64770, 51381, 50804, 53284, 52718, 51543, 53656, 53284, 53624, 52527, 50838, 52459, 53284, 52985, 52280, 51484, 51105, 51484, 51543, 77541, 50283, 51484, 50804, 53284, 53581, 60587, 50838, 51250, 50838, 54073, 76474, 50799, 53952, 50838, 51325, 51381, 51223, 50838, 51513, 77541, 50288, 51381, 58683, 50838, 70876, 54880, 76474, 50416, 61144, 52062, 50420, 56676, 50838, 52007, 50827, 60914, 53284, 56909, 51223, 50827, 51513, 52580, 56676, 50838, 52943, 50838, 51781, 50838, 60914, 55284, 53284, 53052, 55561, 50838, 52527, 50838, 51105, 51381, 51781, 77541, 50283, 51381, 53382, 55284, 53284, 52718, 55561, 50838, 51513, 50838, 53382, 53656, 53284, 53624, 55745, 50838, 52943, 50838, 51781, 50838, 53640, 55559, 52985, 55745, 50838, 52527, 51484, 51325, 51484, 51513, 77541, 50288, 51484, 53640, 55284, 53284, 53581, 60587, 50838, 51223, 50838, 54073, 76474, 50799, 55745, 51484, 52022, 51381, 51262, 50838, 51781, 50838, 66819, 51381, 53640, 51484, 79358, 51243, 57571, 63854, 53284, 54177, 51729, 54225, 56909, 51262, 50827, 51781, 52580, 60587, 50838, 52861, 50838, 52459, 50838, 54073, 55284, 53284, 53052, 60587, 51627, 52840, 50838, 51325, 51381, 52459, 77541, 50288, 51381, 54073, 51627, 50804, 53284, 52718, 51781, 53656, 53284, 53624, 52861, 50838, 52459, 53284, 52985, 52840, 51484, 52022, 51484, 52459, 50838, 66819, 51484, 50804, 53284, 53581, 57533, 50838, 51781, 50838, 52342, 76474, 50799, 60587, 50838, 51325, 51381, 51223, 50838, 51513, 77541, 50288, 51381, 54073, 50838, 61144, 51627, 55841, 77005, 53284, 54177, 55745, 50838, 52007, 50827, 53640, 53284, 56909, 51223, 50827, 51513, 52580, 60587, 50838, 51781, 50838, 54073, 55284, 53284, 53052, 55745, 50838, 51325, 50838, 51781, 77541, 50288, 50838, 53640, 55284, 53284, 52718, 57533, 51484, 51105, 51484, 50741, 50283, 51484, 52342, 51484, 70876, 51627, 56917, 77005, 53284, 53624, 51513, 55249, 57060, 51250, 50827, 51543, 52989, 57457, 50838, 51105, 51484, 52459, 77541, 50283, 51484, 52205, 55284, 53284, 53581, 60587, 51381, 52459, 50838, 54073, 79886, 50838, 55563, 51484, 50741, 50288, 51484, 61144, 51627, 55841, 77005, 53284, 54177, 52007, 54225, 67132, 51756, 67829, 51223, 50827, 51513, 52580, 52527, 51277, 51105, 50838, 51781, 77541, 50283, 55284, 53284, 53052, 51105, 50838, 51781, 77541, 50283, 55284, 53284, 68232, 52943, 56180, 53016, 51484, 50945, 50838, 72410, 50838, 56917, 50825, 58828, 54880, 76474, 50440, 61535, 51627, 50444, 50945, 50838, 51513, 50827, 72410, 55284, 54225, 54043, 51250, 50827, 51543, 54965, 52989, 51992, 50838, 50953, 50838, 52459, 50838, 68008, 76474, 51456, 53581, 60587, 50838, 52527, 50838, 50953, 50838, 52459, 50838, 68008, 50838, 54073, 76474, 51326, 50838, 50799, 53952, 50838, 51325, 51381, 51223, 50838, 51513, 77541, 50288, 51381, 58683, 50838, 70876, 54880, 53284, 75327, 50838, 50416, 61144, 52062, 50420, 56676, 50838, 52007, 50827, 60914, 53284, 56909, 51223, 50827, 51513, 52580, 56676, 50838, 52943, 50838, 51781, 50838, 60914, 55284, 53284, 53052, 55561, 50838, 52527, 50838, 51105, 51381, 51781, 77541, 50283, 51381, 53382, 55284, 53284, 52718, 55561, 50838, 51513, 50838, 53382, 53656, 53284, 53624, 55745, 50838, 52943, 50838, 51781, 50838, 53640, 55559, 52985, 55745, 50838, 52527, 51484, 51325, 51484, 51513, 77541, 50288, 51484, 53640, 55284, 53284 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 19834, 16464, 6, 4246, 21979, 8669, 6, 13305, 6, 3152, 6757, 6, 31391, 1672, 9590, 6, 8, 2236, 1021, 2678, 29, 4, 85, 34, 10, 1372, 8, 11653, 6711, 6, 19, 10, 11602, 9, 1619, 4780, 4, 20, 2214, 16, 11, 5, 762, 9, 381, 538, 6, 34, 10, 1769, 20889, 9, 9680, 163, 5683, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 16, 381, 6, 230, 10431, 119, 406, 6, 274, 10431, 119, 406, 6, 8, 163, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 50444, 53245, 56827, 51953, 57241, 53245, 50923, 50799, 52421, 52362, 50301, 50896, 51844, 51573, 50420, 53245, 51054, 57025, 75209, 57543, 63057, 50807, 52456, 51090, 51855, 64049, 51953, 51552, 51844, 51573, 63809, 59368, 56036, 57981, 50795, 52456, 50911, 51855, 56646, 51027, 75209, 57543, 63057, 50807, 52456, 50911, 51855, 56160, 52456, 50911, 51855, 56210, 51027, 59368, 56036, 57981, 50795, 52456, 50911, 51855, 50911, 59130, 50896, 52456, 50911, 51855, 50911, 51640, 51573, 50420, 54570, 51090, 52708, 67566, 51378, 51958, 50310, 57543, 63057, 53182, 54570, 51496, 52708, 51496, 51640, 52311, 50438, 51378, 64935, 56036, 57981, 51918, 51953, 52362, 50298, 51958, 50310, 57543, 63057, 52728, 52421, 57241, 51953, 52362, 50298, 64935, 56036, 57981, 50795, 50799, 53146, 52369, 51324, 50896, 51857, 51573, 50426, 51324, 68993, 65287, 60939, 50807, 52708, 51090, 51855, 64049, 51857, 52311, 50438, 51324, 59238, 59625, 56190, 50795, 52708, 50911, 51855, 56646, 51324, 68993, 65287, 60939, 50807, 52708, 50911, 51855, 56160, 52333, 50923, 52708, 50911, 51855, 56210, 51617, 73519, 59238, 59625, 56190, 50795, 52708, 50911, 51855, 50911, 50799, 52333, 52362, 50296, 50896, 52708, 50911, 51855, 50911, 51374, 51573, 50420, 51953, 51552, 52456, 51090, 52753, 67566, 51315, 75209, 51161, 50965, 51161, 50973, 73078, 52456, 51496, 52753, 51496, 51374, 52311, 50438, 51315, 61618, 51315, 55920, 51315, 57674, 51315, 54988, 51315, 54780, 50818, 53061, 53173, 51315, 54780, 50846, 52198, 50846, 65309, 50943, 51574, 51003, 61447, 51317, 73657, 50806, 51844, 51573, 59468, 54925, 70700, 50947, 60115, 53245, 52362, 50301, 51274, 61862, 51953, 50923, 52012, 50943, 51574, 51003, 61447, 74328, 52574, 50934, 56171, 70700, 50947, 57547, 51953, 50923, 51844, 51014, 59640, 53294, 51953, 50923, 52012, 50873, 51574, 50901, 72878, 51317, 51455, 50296, 50806, 51844, 52097, 65986, 59575, 50998, 62874, 55200, 51953, 51552, 52012, 50943, 51574, 51003, 61447, 51317, 51619, 50296, 51274, 52093, 50445, 70700, 50947, 50981, 52320, 54866, 52349, 52012, 50873, 51574, 50901, 72878, 51317, 50845, 52093, 50457, 50998, 62874, 50892, 50799, 52977, 51054, 53805, 50943, 51846, 51003, 74328, 50998, 51619, 50293, 50806, 51957, 51573, 65986, 56868, 51169, 50981, 51316, 60115, 51360, 51274, 61862, 51617, 50923, 53805, 50873, 51846, 50901, 51317, 50845, 66286, 52574, 50934, 56171, 71886, 51316, 54100, 52977, 51054, 53805, 51675, 51846, 51790, 51317, 51452, 50998, 51452, 51957, 51014, 59640, 65109, 51169, 51742, 51316, 51742, 50438, 51360, 50806, 51957, 52097, 65986, 53675, 52977, 52362, 50293, 51274, 61741, 52977, 50923, 52574, 50934, 52349, 52977, 50923, 52093, 50799, 52421, 51054, 53092, 50943, 52028, 51003, 51311, 50915, 50960, 51619, 50291, 50806, 51857, 51573, 65986, 56868, 51078, 50981, 51076, 60115, 51324, 51274, 61862, 51953, 50923, 53092, 50943, 52028, 51003, 51311, 50915, 64226, 52708, 51090, 51855, 51090, 52574, 50934, 56171, 51078, 50981, 51076, 57547, 53144, 51552, 51857, 51014, 59640, 53294, 53092, 50873, 52028, 50901, 51311, 50845, 50960, 51455, 50291, 50806, 52708, 51090, 51855, 51090, 51857, 52097, 65986, 59575, 74893, 51076, 55200, 53092, 50943, 52028, 51003, 51311, 50915, 50960, 51619, 50291, 51274, 52093, 50445, 51078, 50981, 51076, 57105, 52708, 51090, 51855, 51090, 52574, 50934, 52349, 53092, 50873, 52028, 50901, 51311, 50845, 50960, 56015, 57430, 74893, 69239, 65962, 50943, 51846, 51003, 64226, 50998, 51619, 50296, 50806, 52708, 50911, 51855, 50911, 51374, 51573, 65986, 56868, 51076, 60115, 51315, 51274, 52456, 51090, 52753, 51090, 61862, 75760, 51846, 50901, 62151, 66286, 52574, 50934, 56171, 51076, 54100, 51574, 50943, 51846, 51003, 64226, 69164, 52456, 51496, 52753, 51496, 51374, 51014, 59640, 65109, 51076, 56692, 51315, 50806, 51374, 51014, 65986, 53675, 75760, 51846, 50901, 62151, 50998, 51455, 50296, 50806, 51374, 51014, 52093, 50445, 51076, 54058, 75760, 51846, 50901, 62151, 50998, 51455, 50298, 50806, 51640, 51014, 52574, 50934, 56086, 51076, 54771, 52012, 51218, 51574, 51295, 51131, 51115, 51317, 51115, 51176, 50806, 51602, 51014, 75194, 59169, 50998, 51310, 50947, 51310, 52198, 50846, 56310, 50806, 51349, 51573, 65986, 53336, 51953, 52362, 50301, 51274, 61862, 51953, 50923, 52012, 50873, 51574, 50901, 72878, 51317, 50845, 52574, 50934, 56171, 50998, 62874, 54100, 51953, 50923, 52012, 50943, 51574, 51003, 61447, 74328, 51349, 51014, 59640, 65109, 70700, 50947, 56692, 51953, 52362, 50296, 50806, 51374, 51603, 65986, 53675, 51953, 51552, 52012, 50873, 51574, 50901, 72878, 51317, 51455, 50296, 51274, 52093, 50445, 50998, 62874, 54058, 52012, 50873, 51574, 50901, 72878, 51317, 50845, 52574, 50934, 56086, 50998, 62874, 54771, 52012, 50873, 51574, 50901, 72878, 51317, 50845, 52093, 50457, 50998, 62874, 50892, 50799, 52977, 51054, 53805, 50943, 51846, 51003, 74328, 50998, 51619, 50293, 50806, 51957, 51573, 65986, 56868, 51169, 50981, 51316, 60115, 51360, 51274, 61862, 51617, 50923, 53805, 50873, 51846, 50901, 51317, 50845, 66286, 52574, 50934, 56171, 71886, 51316, 54100, 52977, 51054, 53805, 50943, 51846, 51003, 74328, 69164, 51957, 51014, 59640, 65109, 51169, 50981, 51316, 56692, 51360, 50806, 51602, 51603, 65986, 53675, 52977, 50923, 53805, 50873, 51846, 50901, 51317, 50845, 50998, 51455, 50293, 51274, 52093, 50445, 71886, 51316, 54058, 52977, 50923, 53805, 50873, 51846, 50901, 51317, 50845, 66286, 52574, 50934, 56086, 71886, 51316, 54771, 52977, 50923, 53805, 50873, 51846, 50901, 51317, 50845, 66286, 52093, 50457, 71886, 51316, 50892, 50799, 52421, 51054, 53092, 50943, 52028, 51003, 51311, 50915, 50960, 51619, 50291, 50806, 51857, 51573, 65986, 56868, 51078, 50981, 51076, 60115, 51324, 51274, 61862, 51953, 50923, 53092, 50873, 52028, 50901, 51311, 50845, 62151, 52708, 51090, 51855, 51090, 52574, 50934, 56171, 74893, 51076, 54100, 53144, 51552, 53092, 50943, 52028, 51003, 51311, 50915, 64226, 51857, 51014, 59640, 65109, 51078, 50981, 51076, 56692, 51324, 50806, 52708, 51090, 51855, 51090, 51640, 51603, 65986, 53675, 53092, 50873, 52028, 50901, 51311, 50845, 50960, 51455, 50291, 51274, 52093, 50445, 74893, 51076, 54058, 53092, 50873, 52028, 50901, 51311, 50845, 62151, 52708, 51090, 51855, 51090, 52574, 50934, 56086, 74893, 51076, 54771, 53092, 50873, 52028, 50901, 51311, 50845, 50960, 56015, 57430, 74893, 69239, 65962, 50943, 51846, 51003, 64226, 50998, 51619, 50296, 50806, 52708, 50911, 51855, 50911, 51374, 51573, 65986, 56868, 51076, 60115, 51315, 51274, 52456, 51090, 52753, 51090, 61862, 75760, 51846, 50901, 62151, 66286, 52574, 50934, 56171, 51076, 54100, 51574, 50943, 51846, 51003, 64226, 69164, 52456, 51496, 52753, 51496, 51374, 51014, 59640, 65109, 51076, 56692, 51315, 50806, 51374, 51014, 65986, 53675, 53245, 50923, 75760, 51846, 50901, 62151, 50998, 51455, 50296, 50806, 51374, 51014, 52093, 50445, 51076, 54058, 51953, 50923, 75760, 51846, 50901, 62151, 50998, 51455, 50298, 50806, 51640, 51014, 52574, 50934, 56086, 51076, 54771, 53245, 50923, 75760, 51846, 50901, 62151, 50998, 51455, 50300, 50806, 51602, 51014, 75194, 59169, 69239, 52198, 50846, 50799, 52421, 50923, 52012, 50943, 51574, 51003, 61447, 51317, 73657, 50896, 51349, 51573, 59468, 54925, 70700 ]

[ 0, 250, 5679, 26709, 8, 19448, 5175, 19834, 4246, 38668, 22052, 6, 13305, 6, 32017, 6, 8, 3551, 139, 6, 278, 11, 5, 762, 9, 211, 538, 19, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 20307, 149, 10, 33215, 13931, 9, 83, 6, 211, 6, 83, 6, 163, 119, 406, 6, 8, 381, 406, 6, 2351, 41, 9066, 8, 15352, 30054, 5466, 20455, 9, 10, 822, 1471, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 50796, 57530, 50441, 50627, 50442, 50622, 50443, 50622, 50444, 50623, 51120, 59625, 60358, 64151, 50914, 61372, 50901, 52016, 51003, 50445, 50623, 50446, 50623, 50447, 50623, 50448, 50624, 50449, 50624, 50450, 50624, 51315, 54828, 60358, 50849, 67348, 50901, 50451, 50624, 50452, 50624, 50453, 50625, 50454, 50625, 50455, 50625, 50456, 50626, 51378, 62530, 58800, 59353, 50873, 63827, 50901, 52233, 73363, 50626, 50458, 50626, 50459, 50626, 50460, 50627, 50461, 50627, 57530, 51086, 58532, 51734, 50299, 68900, 51675, 55464, 51183, 54549, 51003, 50415, 50627, 61104, 60015, 50943, 53496, 56509, 51026, 64151, 64449, 50901, 55464, 50845, 52016, 53999, 51026, 57094, 61622, 59374, 50845, 55464, 54058, 51026, 57864, 64449, 60946, 51514, 50287, 50914, 63995, 50915, 55464, 53586, 51086, 59537, 57348, 59374, 50845, 54549, 50892, 57530, 51120, 71942, 63142, 58421, 61739, 50915, 61372, 50892, 55500, 50892, 50416, 50627, 50417, 50627, 50418, 50627, 50420, 50627, 50899, 50892, 52016, 78232, 50626, 50423, 50626, 50424, 50626, 50426, 50626, 51040, 71274, 51310, 50877, 51310, 53496, 68751, 50626, 50429, 50626, 50430, 50626, 50432, 50625, 51086, 50892, 54549, 50974, 50433, 50625, 50435, 50625, 50436, 50625, 50437, 50622, 50438, 50622, 51027, 50892, 55500, 77046, 50626, 50444, 50626, 51378, 62035, 50905, 63827, 50974, 50448, 50626, 50450, 51378, 62035, 51644, 50294, 50915, 61372, 51097, 63827, 70184, 50626, 50456, 51027, 79322, 50974, 55500, 50838, 54868, 73657, 75286, 61817, 51803, 61372, 51097, 55500, 51097, 50417, 50625, 50426, 51315, 69836, 52019, 50305, 51097, 67348, 50932, 55464, 50932, 50430, 50625, 50431, 50625, 50433, 50625, 50435, 50625, 50437, 50625, 66240, 51568, 50298, 58754, 50838, 61372, 50838, 63827, 70381, 50625, 50441, 50625, 50443, 50624, 69375, 77955, 51260, 50289, 51318, 75154, 51637, 55500, 50972, 50445, 50624, 50447, 50624, 50450, 50624, 51027, 77955, 63141, 50932, 55464, 50932, 50452, 50624, 50454, 50624, 50456, 50624, 51040, 67336, 50972, 50458, 50623, 50460, 50623, 57211, 51120, 51662, 51378, 51592, 50899, 51592, 61372, 52140, 63827, 52140, 50440, 50626, 50450, 50625, 53827, 58871, 55670, 54850, 61027, 50901, 50799, 59558, 69474, 51514, 50282, 51077, 51120, 51183, 51027, 79199, 51183, 79147, 51183, 61372, 73009, 59558, 64813, 55035, 59558, 69474, 54777, 59558, 64813, 61647, 50861, 59948, 50965, 53894, 55769, 58800, 51514, 50286, 51103, 51120, 51183, 51027, 79199, 51183, 50701, 50286, 51183, 61372, 70268, 55769, 60015, 59827, 59558, 50833, 50989, 57651, 59558, 50833, 50989, 50854, 50799, 54850, 74911, 59487, 51514, 50305, 51807, 50289, 51077, 75154, 51127, 55500, 55689, 54850, 69324, 59487, 50901, 55464, 55035, 59558, 51519, 50298, 61566, 66199, 50901, 63827, 54777, 54358, 51458, 50296, 51514, 50305, 57864, 50901, 67348, 55306, 59558, 51189, 51120, 51295, 50899, 51295, 50989, 51295, 61372, 51295, 50444, 51279, 50849, 75154, 55125, 51799, 50849, 79147, 55670, 53827, 58871, 50901, 50799, 58873, 64151, 57864, 64449, 51514, 50287, 51077, 51026, 51183, 63995, 51183, 55464, 73009, 58873, 58871, 57864, 64449, 55035, 58873, 64151, 57864, 64449, 54777, 58873, 58871, 57864, 64449, 55306, 57440, 51218, 51026, 51519, 50303, 60946, 51295, 50899, 51183, 72684, 55464, 50901, 54549, 55945, 51027, 51519, 50305, 50901, 55500, 50901, 53496, 55125, 68246, 50901, 54549, 50901, 52016, 55670, 57440, 69324, 51519, 50303, 60946, 50901, 55464, 50901, 54549, 50901, 50799, 55769, 51486, 51120, 62525, 73450, 60598, 51692, 61372, 50943, 52016, 57908, 51315, 79438, 58657, 51003, 67348, 51003, 53496, 56509, 51120, 64815, 73450, 51003, 61372, 51003, 52016, 51003, 50449, 50625, 50450, 51799, 50914, 79147, 59827, 53827, 58871, 50901, 50799, 59558, 74911, 66199, 51514, 50294, 51077, 50899, 51183, 61372, 51183, 55500, 57437, 59558, 58871, 66199, 50901, 52016, 76968, 50625, 50426, 59558, 51519, 50305, 66199, 50901, 53496, 54777, 59558, 51458, 50303, 66199, 50901, 54549, 55306, 55769, 71942, 64763, 51295, 50989, 51295, 50877, 51295, 51120, 51103, 61372, 51183, 55500, 60510, 50625, 55769, 50943, 56279, 51003, 52016, 59827, 59558, 50833, 50989, 62533, 59558, 50833, 50799, 54850, 51519, 50305, 59487, 51514, 50289, 51077, 51027, 51183, 75154, 51127, 55500, 51127, 50417, 50625, 50420, 54850, 76355, 59487, 55035, 59558, 64151, 66199, 54777, 54358, 61027, 57864, 55306, 59558, 51800, 50301, 64763, 73450, 51807, 50294, 51103, 61372, 51183, 55500, 57197, 53827, 58871, 51514, 50298, 51003, 63827, 59827, 53827, 58871, 50901, 50799, 54850, 61679, 51514, 50287, 76195, 51807, 50303, 51003, 63995, 51003, 55464, 65516, 54850, 61027, 55035, 54850, 61679, 74682, 51800, 50303, 64763, 51003, 55464, 51003, 54549, 60307, 54850, 61027, 73308, 50625, 50438, 59558, 51218, 51027, 51295, 50989, 51295, 51040, 51183, 55500, 79766, 51279, 50889, 75154, 59827, 54850, 69324, 59487, 50901, 55464, 50901, 50799, 53827, 51591, 51120, 51608, 50298, 51790, 51027, 51790, 50899, 51790, 61372, 50943, 63827, 51675, 50426, 51279, 50914, 75154, 56509, 50621, 51799, 50849, 79147, 55945, 57440, 55673, 50833, 51120, 62159, 58871, 50943, 61372, 50873, 52016, 50943, 50445, 50624, 50447, 66642, 50448, 50624, 50450, 57440, 61907, 50833, 51315, 55143, 50873, 67348, 76069, 50624, 50453, 50624, 50951, 53920, 50624, 57440, 57883, 50833, 51378, 62530, 58800, 50873, 63827, 50873, 52233, 63007, 50624, 74740, 57448, 57440, 51358, 51086, 58532, 63402, 51675, 51146, 51675, 51026, 51161, 55464, 51518, 54549, 50943, 50416, 50625, 50419, 50625, 50422, 50625, 50425, 50625, 61104, 60015, 50943, 53496, 75725, 50625, 50430, 50626, 50433, 50626, 50436, 50626, 80212, 50973, 58871, 50943, 52016, 50943, 50441, 50626, 50444, 57440, 56931, 57094, 62879, 59353, 54230, 57440, 62352, 58871, 57094, 62879, 59353, 51458, 50287, 50807, 63995, 50943, 55464, 55345, 57440, 68339, 58871, 57094, 59353, 50873, 54549, 50873, 50799, 57440, 50807, 51120, 56931, 65593, 63402, 50943, 61372, 50873, 52016, 50943, 56945, 50805, 55500, 53890, 55769, 51141, 50899, 65593, 51218, 50877, 51218, 52016, 56389, 51799, 50807, 79147, 58141, 55769, 50812, 70947, 50877, 55590, 55769, 50812, 70947, 50877, 53639, 55769, 56876, 58871, 65593, 50943, 52016, 58705, 58873, 65872, 50873, 50460, 50626, 50799, 55769, 51623, 51315, 55890, 51675, 50877, 51675, 51040, 51518, 67348, 50943, 53496, 69058, 51279, 50807, 75154, 57421, 51050, 50840, 55825, 60085, 51378, 50840, 63827, 56788, 51026, 50840, 55464, 59921, 51176, 50840, 57380, 54431, 51027, 50889, 55500, 51178, 50442, 50626, 50444, 55769, 74911, 67885, 58800, 50873, 55500, 50873, 68473, 50855, 54064, 57012, 51086, 50855, 54549, 61230, 50900, 50855, 52233, 54208, 55769, 62159, 58800, 71942, 73685, 50943, 55500, 50943, 53496, 58705, 58873, 58263, 62879, 50873, 57211, 55769, 51623, 51120, 59153, 65593, 60015, 51675, 61372, 50943, 52016, 57908, 51315, 73685, 58532, 50943, 67348, 50943, 53496, 57421, 50626, 50434, 50626, 50435, 50626, 50437, 50626, 66240, 56931, 64813, 50873, 61372, 50873, 52016, 70575, 50626, 50441, 50625, 50442, 50625, 50444, 50622, 57440, 73470, 62159, 59353, 58871, 50943, 61372, 50873, 52016, 50943, 50445, 50622, 50446, 50623, 50447, 50623, 50448, 50623, 50449, 50623, 50450, 50624, 57440, 77531, 55143, 59353 ]

[ 0, 250, 765, 6, 1372, 15855, 2125, 19, 10, 2842, 9, 3495, 6, 4246, 13305, 6, 17691, 28430, 6, 8, 1021, 5901, 1243, 4, 20, 23758, 3938, 20889, 8, 132, 73, 176, 86, 6543, 1045, 10, 19448, 8, 8728, 5466, 6, 150, 5, 762, 9, 211, 538, 8, 5, 33215, 16739, 9, 211, 6, 230, 10431, 119, 406, 6, 163, 119, 6, 8, 274, 10431, 119, 5042, 7, 5, 2214, 18, 1374, 32076, 8, 8520, 6711, 6, 442, 24, 10686, 13, 304, 11, 3541, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 52278, 50918, 50730, 50306, 50918, 52571, 50918, 52769, 56039, 52278, 55405, 50308, 50807, 52571, 50807, 52769, 52728, 52355, 55405, 50310, 50807, 52326, 50807, 56194, 50807, 50799, 52824, 50918, 65829, 50807, 52690, 50807, 55243, 55834, 50730, 50310, 50807, 52326, 52424, 52824, 77979, 50807, 52571, 50807, 55243, 52728, 52355, 77979, 79260, 50807, 55243, 50807, 50799, 52824, 55405, 50310, 79364, 50807, 53722, 52910, 51784, 77979, 50807, 51465, 50807, 54437, 52424, 51900, 55405, 50313, 50807, 51719, 50807, 58748, 52728, 52824, 55405, 50310, 79364, 50807, 52745, 50807, 50799, 52285, 50918, 50730, 50308, 79260, 50807, 51774, 55834, 74489, 79364, 52424, 52285, 55405, 50313, 50807, 51465, 50807, 51774, 52728, 51900, 55405, 50315, 50807, 51719, 50807, 52745, 50807, 50799, 52285, 55405, 50316, 50807, 71217, 52806, 52910, 53101, 55405, 50316, 50807, 51465, 50807, 52806, 52424, 51950, 55405, 50318, 79364, 50807, 52745, 52728, 51900, 55405, 50315, 50807, 71217, 52769, 50807, 50799, 52285, 55405, 50316, 50807, 71217, 51774, 52910, 51900, 77979, 79364, 50807, 52745, 52424, 51784, 55405, 50313, 50807, 51465, 50807, 52806, 52728, 52824, 77979, 50807, 51465, 50807, 54437, 50807, 50799, 52355, 51036, 50730, 50310, 50918, 52326, 50918, 53722, 76175, 50730, 50308, 50807, 52571, 52728, 50730, 50310, 79260, 50807, 50799, 52278, 50918, 50730, 50306, 50918, 52571, 50918, 52769, 56039, 52278, 55405, 50308, 50807, 52571, 50807, 52769, 52728, 52355, 55405, 50310, 50807, 52326, 50807, 56194, 50807, 50799, 52824, 50918, 65829, 50807, 52690, 50807, 55243, 55834, 50730, 50310, 50807, 52326, 52424, 52824, 77979, 50807, 52571, 50807, 55243, 52728, 52355, 77979, 79260, 50807, 55243, 50807, 50799, 52824, 55405, 50310, 79364, 50807, 53722, 52910, 51784, 77979, 50807, 51465, 50807, 54437, 52424, 51900, 55405, 50313, 50807, 51719, 50807, 58748, 52728, 52824, 55405, 50310, 79364, 50807, 52745, 50807, 50799, 52285, 50918, 50730, 50308, 79260, 50807, 51774, 55834, 74489, 79364, 52424, 52285, 50918, 63514, 50918, 51465, 50918, 51774, 50918, 50799, 51950, 55405, 50315, 79364, 50807, 52769, 52910, 51900, 55405, 50315, 50807, 71217, 52769, 52424, 51784, 55405, 50313, 50807, 51465, 50807, 52806, 52728, 52824, 55405, 50310, 79364, 50807, 52745, 50807, 50799, 52285, 55405, 50308, 79260, 50807, 51774, 52910, 51900, 55405, 50313, 50807, 51465, 50807, 51774, 52424, 52285, 55405, 50315, 50807, 71217, 55243, 52728, 51950, 55405, 50315, 50807, 51465, 50807, 55243, 50807, 50799, 52515, 50918, 58202, 50918, 51465, 50807, 52806, 55834, 51231, 52424, 51900, 55405, 50315, 50807, 51719, 50807, 51614, 52728, 51900, 55405, 50313, 50807, 51719, 50807, 51614, 50807, 58106, 51950, 51036, 74489, 51036, 51410, 51036, 52769, 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, 250, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 15073, 6, 278, 11, 10, 7212, 231, 73, 398, 86, 6543, 8, 5, 762, 9, 272, 538, 6, 4246, 10, 16331, 33215, 16739, 9, 272, 6, 3676, 406, 6, 8, 1918, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51540, 50631, 51540, 51416, 52392, 51915, 51991, 51882, 52149, 52642, 51717, 52908, 52570, 50804, 50841, 51430, 50810, 51487, 50844, 52357, 50955, 50415, 51334, 52903, 51924, 52045, 50416, 52004, 56082, 51302, 50841, 51430, 52081, 50335, 52081, 50340, 51051, 53550, 50841, 51430, 52386, 50335, 52081, 50340, 55514, 51068, 51031, 51430, 51604, 50335, 51604, 50340, 50822, 50462, 50804, 50841, 51430, 51954, 50335, 51954, 50340, 50874, 50474, 50804, 50829, 51487, 51609, 50332, 50874, 52357, 51008, 51540, 51349, 51991, 52331, 51894, 50804, 50841, 51430, 51609, 50337, 51609, 50340, 51008, 51302, 50820, 51430, 52081, 50337, 51604, 50340, 52788, 50804, 50841, 51430, 51604, 50337, 51764, 50340, 65673, 51924, 51591, 50450, 52642, 51159, 52908, 51056, 55631, 51454, 52004, 51358, 55420, 51896, 51068, 51031, 51430, 51604, 50337, 51609, 50340, 50874, 50462, 51882, 51267, 52642, 51312, 52908, 58668, 50839, 51814, 51954, 50332, 50912, 52357, 50851, 50474, 52474, 51124, 51726, 51221, 52642, 51267, 52908, 51109, 55631, 56942, 50834, 51430, 51764, 50337, 51609, 50340, 50874, 50484, 51390, 53487, 51540, 51684, 53363, 51482, 53380, 52086, 52903, 52561, 53454, 53725, 56082, 51893, 53259, 50804, 50841, 51814, 51609, 50333, 50822, 52357, 50874, 50416, 52700, 54484, 51302, 50841, 51814, 51604, 50333, 50851, 52357, 53269, 50804, 50841, 51814, 50825, 51339, 50912, 52357, 53567, 51068, 51031, 51814, 51604, 50333, 50851, 52357, 50827, 50462, 50804, 50841, 51339, 51954, 50337, 51604, 50340, 50827, 50474, 51684, 51377, 51482, 51400, 50804, 50829, 51339, 52386, 50337, 51954, 50340, 50851, 50484, 51390, 53454, 51540, 51137, 51486, 54117, 51518, 52086, 53651, 52561, 53753, 55272, 56082, 51893, 53454, 50804, 50841, 51487, 51609, 50339, 51609, 50342, 50874, 50416, 54503, 54454, 51302, 50820, 51487, 51954, 50339, 52386, 50342, 53269, 50804, 50841, 51487, 51954, 50339, 52081, 50342, 54823, 51910, 51446, 53180, 51417, 51068, 51031, 51487, 51764, 50339, 51604, 50342, 50827, 50462, 50804, 50839, 51487, 51954, 50339, 52081, 50342, 50912, 50474, 51684, 51178, 51482, 56959, 50834, 51487, 51604, 50339, 51954, 50342, 50851, 50485, 51334, 52821, 51540, 51416, 51264, 51915, 51307, 51882, 51151, 52642, 51293, 52908, 52017, 51924, 52045, 50804, 50841, 51430, 51764, 50335, 51609, 50340, 62501, 52004, 54300, 51302, 50841, 51430, 52081, 50335, 52081, 50340, 52788, 50804, 50841, 51430, 51604, 50335, 51604, 50340, 52989, 51068, 51031, 51430, 51604, 50335, 51764, 50340, 50851, 50462, 51813, 51312, 51882, 51312, 52642, 56942, 50841, 51487, 50835, 51430, 51764, 50340, 50827, 50474, 52474, 51267, 51726, 51109, 51882, 51312, 52642, 51380, 52908, 75270, 50829, 51430, 51609, 50335, 51764, 50340, 50827, 50485, 51334, 53454, 51540, 52584, 51538, 51425, 51518, 51882, 51151, 52561, 51293, 53725, 52017, 51893, 52045, 52700, 54300, 50804, 50841, 51339, 51764, 50337, 51604, 50340, 50867, 51302, 50820, 51339, 51954, 50337, 51764, 50340, 50904, 53550, 50841, 51339, 51764, 50337, 51604, 50340, 54385, 52584, 51157, 51425, 51159, 51068, 51031, 51339, 51764, 50337, 51609, 50340, 50886, 50462, 52474, 51267, 51726, 51109, 51855, 51380, 52086, 51253, 52561, 78275, 50839, 51814, 50835, 51339, 51604, 50340, 50864, 50474, 51684, 51159, 51482, 51056, 51882, 51267, 52561, 51312, 53725, 75270, 50834, 51814, 50829, 51339, 51604, 50340, 50886, 51540, 51416, 51189, 51915, 51218, 51882, 50866, 52642, 50978, 52908, 51030, 51334, 51095, 51924, 51110, 52004, 51095, 51068, 51031, 51430, 51609, 50335, 51764, 50340, 53891, 58053, 51343, 50462, 56290, 51343, 51540, 57696, 76183, 58053, 51356, 60487, 50839, 50462, 50801, 50839, 50463, 57696, 51472, 50474, 50801, 50839, 51540, 51349, 52392, 52331, 79431, 53966, 50841, 51814, 50835, 51430, 51609, 50340, 70691, 77029, 54484, 51302, 50841, 51430, 50863, 51814, 50825, 52357, 53018, 50804, 50841, 51430, 50863, 51814, 50825, 52357, 53996, 51068, 51031, 51430, 50825, 51814, 50834, 52357, 50886, 50462, 50804, 50841, 51814, 50835, 51430, 51954, 50340, 50864, 50474, 50804, 50829, 51430, 50837, 51814, 50835, 52357, 50886, 51540, 51349, 51605, 52331, 51991, 60119, 54300, 50801, 53966, 50841, 51430, 50825, 51814, 50829, 52357, 50886, 51302, 50820, 51430, 51604, 50337, 51609, 50340, 50864, 53550, 50841, 51814, 50829, 51430, 51764, 50340, 64891, 51924, 51591, 50450, 52004, 51358, 55420, 51896, 51068, 51031, 51814, 50829, 51430, 51604, 50340, 50886, 50462, 50804, 50839, 51814, 50829, 51430, 51764, 50340, 50886, 50474, 52474, 51056, 51726, 67675, 50834, 51430, 50825, 51814, 50834, 52357, 50864, 50484, 51390, 53487, 51540, 51684, 52392, 51482, 51605, 53686, 53601, 51893, 53259, 50801, 53966, 50841, 51814, 50834, 51339, 51609, 50340, 76328, 52700, 54484, 51302, 50841, 51814, 50825, 51339, 51604, 50340, 53945, 56290, 52195, 50804, 50841, 51814, 50829, 51339, 51604, 50340, 53996, 51068, 51031, 51339, 50825, 51814, 50829, 52357, 50864, 50462, 57696, 51285, 50804, 50841, 51339, 50837, 51814, 50835, 52357, 50904, 50474, 50804, 50829, 51814, 50835, 51339, 51604, 50340, 50886, 50484, 51390, 53454, 51540, 51137, 51655, 54117, 51036, 56290, 51055, 51893, 53454, 50801, 53966, 50841, 53117, 50839, 51487, 51764, 50342, 76328, 54503, 54454, 50425, 58053, 50807, 51302, 50820, 51487, 50863, 53117, 50835, 52912, 57413, 56033, 51036, 53550, 50841, 51487, 50837, 53117, 50834, 52912, 54105, 51068, 51031, 51487, 50863, 53117, 50825, 52912, 50886, 50462, 50804, 50839, 51487, 50863, 53117, 51537, 50342, 50864, 50474, 50804, 50834, 53117, 50829, 52912, 50835, 51487, 50864, 50485, 51334, 52821, 51540, 51416, 52382, 51915, 53363, 53274, 53501, 51924, 52045, 50801, 53966, 50841, 51487, 50835, 51430, 51609, 50340, 70691, 52004, 54300, 51302, 50841, 51430, 50863, 51487, 50825, 52357, 53018, 50804, 50841, 51430, 50863, 51487, 50825, 52357, 53996, 58053, 51685, 52041, 51585, 51555, 51941, 51068, 51031, 51430, 50825, 51487, 50834, 52357, 66830, 54830, 50861, 54830, 50462, 50804, 50841, 51487, 50835, 51430, 51954, 50340, 50864, 50474, 50804, 50829, 51430, 50837, 51487, 50835, 52357, 50886, 51540, 51349, 51605, 52331, 51991, 56281, 51469, 52679, 51538, 52041, 51486, 50801, 53966, 50841, 51430, 50825, 51814, 50829, 52357, 66411, 63034, 50916, 63034, 51302, 50820, 51430, 51604, 50337, 51609, 50340, 50864, 53550, 50841, 51814, 50829, 51430, 51764, 50340, 64891, 51924, 51591, 50450, 52004, 51358, 55420, 51896, 51068, 51031, 51814, 50829, 51430, 51604, 50340, 50886, 50462, 50804, 50839, 51814, 50829, 51430, 51764, 50340, 50886, 50474, 52474, 51056, 51726, 67675, 50834, 51430, 50825, 51814, 50834, 52357, 50864, 50484, 51390, 53487, 51540, 51684, 52392, 51482, 51605, 53686, 53501, 51893, 53259, 50801, 53966, 50841, 51814, 50834, 51339, 51609, 50340, 76328, 52700, 54484, 51302, 50841, 51814, 50825, 51339, 51604, 50340, 50864, 53550, 50841, 51814, 50829, 51339, 51604, 50340, 53996, 51068, 51031, 51339, 50825, 51814, 50829, 52357, 70570, 56290, 51566, 50462, 50804, 50841, 51339, 50837, 51814, 50835, 52357, 50904, 50474, 57696, 51541, 50804, 50829, 51814, 50835, 51339, 51604, 50340, 50886, 50484, 51390, 53454, 51540, 51137, 51991, 54117, 51894, 51893, 53454, 50801, 53966, 50841, 53117, 50839, 51487, 51764, 50342, 76415, 56290, 51661, 50416 ]

[ 0, 713, 8787, 3495, 8, 13134, 24904, 2125, 22750, 1626, 5823, 8, 10563, 149, 63, 20425, 34879, 4, 25837, 2987, 30, 5, 20902, 3222, 5785, 9, 10170, 1499, 6, 21979, 8669, 6, 3459, 9590, 6, 8, 21072, 6, 24, 11498, 41, 12447, 1001, 20889, 11, 5, 762, 9, 272, 538, 19, 10, 132, 73, 306, 86, 6543, 4, 20, 4798, 17130, 14417, 227, 5, 40286, 211, 8, 83, 6, 8216, 7, 5, 2214, 18, 17627, 17274, 2365, 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 ]

[ 51057, 50632, 50427, 51908, 58656, 51666, 52119, 52330, 52674, 51994, 57880, 51908, 50802, 51057, 50953, 72109, 51030, 50419, 51666, 53213, 51076, 50938, 59314, 51067, 56022, 70576, 52330, 52968, 51019, 70551, 51286, 50431, 51994, 52265, 51076, 50910, 76610, 50929, 52938, 51033, 51057, 51666, 50811, 50927, 77690, 51030, 50419, 51531, 52302, 77673, 78129, 51067, 51582, 50384, 53224, 60811, 51666, 53537, 51069, 59569, 51286, 50427, 53615, 55863, 51531, 58656, 51873, 52119, 73062, 51067, 50836, 51078, 52217, 75348, 53438, 57880, 51666, 50803, 74248, 52299, 51030, 50419, 51531, 53213, 51078, 50938, 50947, 50948, 51067, 50924, 53615, 51750, 70576, 51873, 52968, 51069, 51290, 51170, 53351, 51286, 50430, 53438, 52119, 51078, 50840, 67640, 51067, 67685, 51420, 51033, 50437, 51908, 50823, 51057, 50953, 51090, 51240, 53983, 51030, 50418, 51666, 52244, 51067, 50836, 64567, 51076, 51187, 70576, 51908, 50881, 50608, 53950, 50927, 57393, 51286, 50429, 52330, 57925, 51076, 74945, 50887, 50929, 52953, 51240, 54220, 51033, 50433, 51994, 57784, 51908, 50803, 51057, 50953, 57393, 51030, 50418, 51666, 53213, 51076, 50887, 73369, 50929, 69331, 52223, 67596, 52330, 52968, 50927, 51427, 51170, 53690, 51286, 50430, 51994, 58976, 51170, 53974, 51076, 50846, 73369, 50929, 51833, 51033, 50437, 51666, 50803, 74248, 51090, 51240, 54897, 51030, 50418, 51531, 60861, 50947, 50887, 51067, 53299, 51078, 52873, 70086, 51240, 62475, 51666, 53537, 51069, 51290, 53615, 52972, 51286, 50428, 51531, 58874, 51873, 57925, 67640, 51078, 50855, 51067, 62468, 50830, 51361, 51033, 50433, 53438, 50811, 51057, 51666, 51066, 52939, 50993, 50927, 52299, 68360, 68387, 51078, 50836, 51067, 53104, 50607, 51539, 54392, 51908, 50976, 51531, 50975, 51069, 51566, 51170, 53393, 68141, 65946, 51067, 50897, 50947, 52675, 51033, 51170, 50940, 50437, 52330, 50993, 51666, 50993, 51057, 71877, 51240, 52972, 68360, 51076, 50887, 51067, 50859, 50929, 52217, 70086, 51240, 50878, 50425, 51908, 53537, 77562, 52190, 52411, 51286, 50428, 51666, 58656, 52330, 52119, 51067, 50859, 51563, 52153, 51033, 51240, 50948, 50433, 51076, 58322, 51994, 57880, 51908, 50860, 51057, 50953, 54482, 51030, 50419, 51666, 52244, 51067, 51095, 51076, 51178, 51563, 59218, 50384, 53224, 59066, 52330, 53537, 51019, 54482, 51286, 50427, 51170, 70328, 51994, 54179, 51076, 50937, 51067, 50897, 51563, 63977, 52189, 51033, 50437, 51666, 50802, 74248, 51054, 51240, 52972, 51030, 50419, 51531, 55573, 50947, 50938, 51067, 50910, 51786, 53710, 70086, 51240, 63750, 51666, 53537, 51069, 51454, 52190, 52923, 51286, 50428, 51531, 58874, 51873, 64058, 51240, 57748, 62629, 51067, 50836, 51786, 52217, 75348, 53438, 57880, 51666, 50823, 51057, 62644, 53615, 54902, 51030, 50419, 51531, 50881, 50607, 53203, 76522, 78142, 51786, 51582, 54392, 51873, 61424, 51566, 51170, 52411, 51286, 50431, 53438, 69425, 53627, 62629, 51067, 50836, 51786, 52217, 51033, 50437, 51908, 50860, 51057, 50953, 52299, 51030, 50419, 51666, 55573, 51076, 50808, 51067, 50836, 50929, 52217, 70086, 51240, 64462, 51908, 51973, 50927, 51566, 52190, 52411, 51286, 50429, 52330, 57925, 51240, 52559, 51994, 50811, 77672, 51067, 50910, 50929, 53111, 51033, 50436, 51871, 51066, 51908, 51072, 51057, 50953, 58680, 68360, 51076, 50855, 51067, 50836, 51438, 50836, 50929, 52223, 50384, 53224, 61880, 51666, 50975, 52939, 50975, 50425, 51170, 52450, 50927, 72706, 51286, 50431, 51170, 52749, 79750, 60907, 51067, 50828, 51438, 52217, 51033, 50436, 51531, 50993, 51908, 50975, 51057, 70259, 51240, 54923, 68360, 51292, 50800, 72919, 51032, 51421, 67596, 51240, 60811, 52330, 51973, 51443, 76360, 51286, 50428, 51873, 58976, 51994, 57052, 52559, 51292, 50809, 70903, 50929, 51559, 51033, 50433, 51873, 57880, 51170, 50844, 74248, 57044, 51030, 50415, 52939, 50976, 52190, 53420, 51078, 60521, 50849, 51067, 67141, 50384, 53224, 56133, 51908, 58242, 51666, 51973, 51069, 73328, 51286, 50428, 51531, 58459, 51240, 53627, 52330, 50823, 53615, 51916, 51033, 50433, 77673, 78129, 51067, 58877, 51873, 57784, 51994, 50975, 51057, 50953, 51541, 51011, 52411, 51030, 50416, 68111, 51039, 70086, 79750, 73369, 59313, 50425, 51994, 52968, 50927, 76360, 51286, 50428, 52330, 58221, 51994, 52119, 60907, 79750, 51067, 50381, 56497, 55316, 51033, 51240, 51254, 50434, 52330, 57880, 51871, 50811, 51057, 79388, 52190, 54902, 68360, 51076, 58335, 50836, 51067, 52675, 50384, 53224, 62475, 51994, 52968, 50927, 51379, 51170, 51730, 51286, 50428, 52330, 58221, 51994, 56662, 59099, 79750, 51067, 50887, 50929, 52873, 51033, 50433, 52330, 57880, 52939, 50811, 74248, 51054, 51240, 53835, 68360, 68387, 51078, 50836, 51067, 55744, 67596, 51240, 52966, 53438, 50811, 51069, 51603, 50798, 51286, 50429, 51873, 58221, 53438, 52119, 51078, 50836, 73062, 51067, 51582, 51033, 51240, 58877, 51988, 50817, 51873, 50817, 51057, 52939, 50975, 50927, 51573, 53615, 56935, 68360, 50947, 50938, 52190, 52223, 70086, 51078, 50855, 51067, 53471, 51666, 51973, 51069, 51345, 51170, 52972, 51286, 50427, 51908, 53300, 51666, 57925, 51170, 57066, 51531, 68850, 50812, 51067, 50952, 50947, 52675, 51033, 50436, 52330, 50993, 51057, 71877, 51240, 64788, 68360, 62388, 51076, 50859, 51067, 52189, 70086, 53615, 62973, 51994, 52968, 77562, 53615, 53632, 51286, 50428, 52330, 58221, 51994, 57052, 57647, 51076, 50938, 51067, 50865, 50929, 55690, 51033, 50433, 52330, 57880, 51871, 50823, 51057, 50953, 54482, 68360, 71594, 57662, 51067, 54068, 70086, 52190, 60039, 51994, 52968, 51019, 50975, 51170, 53238, 51286, 50427, 52330, 58459, 51994, 52119, 52330, 50803, 71257, 77672, 51067, 55110, 51033, 51170, 50940, 50437, 52939, 50975, 74248, 52299, 51030, 50415, 51240, 52864, 50947, 50938, 51078, 50938, 51067, 56022, 54392, 53438, 50811, 51069, 51290, 53615, 51730, 51286, 50428, 51873, 58221, 53438, 52119, 61662, 50947, 50924, 51067, 58415, 51033, 51240, 50952, 50433, 51988, 50803, 51057, 52939, 50975, 50927, 51573, 52190, 53197, 68360, 51078, 50849, 50947, 59218, 50384, 56497, 64355, 51067, 51100, 50422, 51908, 59174, 51666, 51973, 51069, 51227, 51170, 53393, 51286, 50427, 51531, 58221, 52330, 54179, 51078, 50910, 50947, 50830, 51067, 56022, 51033, 51170, 50940, 50433, 51873, 58198, 51994, 50993, 51057, 50953, 52299, 51030, 50415, 51240, 50849, 50416, 51067, 54183, 51067, 50865, 59314, 51076, 55744, 70086, 53615, 59509, 51994, 52968, 74235, 53615, 52972, 51286, 50428, 52330, 58221, 51994, 57052, 57647, 60907, 51076, 50840, 51067, 51421, 51033, 50433, 52330, 57880, 51871, 50811, 51057, 50953, 50975, 52190, 54438, 68360, 51076, 50865, 59314, 51067, 51370, 50384, 53224, 61057, 51994, 52968, 51019, 50975, 51170, 53393, 51286, 50429, 52330, 58976, 51994, 52119, 51076, 50859, 51067, 50859, 50929, 76285, 51170, 68686, 52330, 57880, 52939, 50975, 74248, 52299, 51030, 51240, 56202, 50947, 50948, 51067, 50805, 51078, 54260, 70086, 51240, 53450, 53438, 50811, 51069, 51073, 53615, 52972, 51286, 50429, 51873, 58221, 53438, 64453, 51033, 51240, 51030, 50433, 51067, 50879, 51078, 50917, 50947, 77121, 51988, 50817, 51873, 50811, 51057, 52939, 50975, 50927, 52299, 68360, 50947, 51100, 51078, 50873, 51067, 60596, 56731, 51908, 52968, 51666, 50811, 51069, 72330, 51286, 50427, 51170, 57781, 51908 ]

[ 0, 250, 2635, 12, 20764, 15855, 2125, 19, 10, 25306, 619, 6, 42, 765, 2214, 11, 381, 3694, 7630, 6568, 10, 19448, 8, 3722, 5466, 6, 1969, 13, 5, 1619, 191, 4, 20, 13305, 8, 6755, 12547, 185, 5, 483, 6, 2800, 30, 5, 16634, 12989, 9, 21979, 9590, 6, 21072, 6, 8, 5, 31910, 154, 23225, 9, 5, 23338, 33518, 1264, 4, 20, 15229, 30853, 11, 10, 155, 73, 306, 86, 6543, 6, 19, 10, 33215, 16739, 4246, 230, 6, 274, 119, 406, 428, 245, 6, 211, 73, 717, 6, 8, 272, 73, 250, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51034, 50624, 73831, 51675, 54720, 51592, 51656, 51592, 51711, 51422, 50871, 51623, 51339, 66150, 55326, 55770, 53203, 50876, 74382, 54604, 51430, 52450, 50931, 51364, 51062, 51141, 50804, 53944, 53018, 50804, 53162, 50999, 77534, 76885, 50902, 51077, 50951, 51077, 73831, 51675, 52036, 51397, 53817, 51592, 51863, 51662, 51062, 74541, 55326, 59825, 51065, 50891, 51302, 55147, 53196, 50843, 63122, 52225, 51101, 50843, 53115, 50804, 53270, 56755, 51487, 51014, 50443, 52036, 72438, 51098, 55732, 60479, 51339, 75557, 51062, 51527, 51034, 51216, 51518, 51743, 51422, 53389, 51422, 51711, 51422, 50876, 51127, 50931, 66006, 55326, 59768, 50816, 59045, 52430, 51047, 51302, 53944, 52742, 50804, 62047, 51430, 64781, 51339, 65781, 51487, 58953, 51339, 63674, 51430, 66943, 51339, 50962, 78459, 50833, 52430, 50808, 53181, 50925, 51743, 50925, 51863, 50910, 51838, 50910, 51062, 60206, 55326, 57392, 50624, 50417, 50624, 50419, 50624, 50420, 50624, 50422, 50623, 50423, 50623, 50424, 50623, 51863, 51627, 51838, 51627, 52137, 51627, 50425, 50623, 77718, 51461, 51047, 55793, 51047, 52133, 51148, 51615, 51148, 63014, 60292, 55477, 51339, 51417, 50428, 50623, 52357, 51364, 50438, 50623, 50440, 50623, 50441, 50623, 50442, 50623, 50444, 51756, 59536, 64734, 50623, 50447, 50623, 52213, 54573, 50448, 50624, 50449, 50624, 51756, 52783, 73831, 51417, 51743, 50829, 53389, 54557, 52133, 52598, 51743, 52263, 51656, 54557, 52430, 51627, 52033, 54573, 52235, 51742, 50871, 51397, 50876, 51397, 50999, 51397, 51430, 51397, 52243, 51202, 55376, 50624, 50420, 50624, 75896, 51302, 52942, 56680, 50624, 50436, 52133, 50915, 51743, 50915, 51656, 51330, 52036, 51108, 60116, 52188, 50804, 53675, 51850, 50978, 50449, 53181, 52431, 52133, 51592, 52033, 51662, 52255, 53866, 51034, 52157, 51675, 52225, 51627, 56726, 51447, 51863, 51592, 51760, 50870, 68275, 51147, 51148, 51430, 51077, 52243, 51202, 55138, 51971, 51803, 72130, 52712, 53037, 57032, 50804, 52942, 56305, 52225, 54498, 51147, 51619, 50326, 51911, 50332, 55506, 54586, 51493, 50937, 51760, 62285, 56918, 51711, 50825, 53389, 51592, 53541, 53866, 51881, 51592, 51615, 52431, 51034, 52419, 51675, 51656, 50820, 52225, 50820, 51615, 51592, 51838, 51592, 52840, 50863, 63775, 50902, 51109, 52243, 51202, 55376, 51760, 51244, 72130, 52712, 62680, 50999, 53119, 52942, 56305, 51656, 51753, 50438, 50973, 66986, 64390, 74173, 51756, 62801, 51760, 54758, 51881, 60379, 72338, 50866, 50445, 51756, 61334, 52721, 51862, 50449, 52430, 50825, 52187, 50827, 51881, 51703, 52033, 51447, 51615, 51703, 51711, 51703, 79515, 50943, 51615, 50822, 52033, 50932, 52225, 51080, 52886, 51080, 51756, 52015, 50900, 59783, 75511, 51911, 50330, 50915, 52243, 51202, 53203, 54786, 51490, 50424, 51065, 52641, 51389, 50943, 54227, 53126, 50316, 55506, 53759, 52953, 52387, 53535, 50320, 58376, 59051, 50843, 57514, 51881, 50932, 52033, 50932, 52332, 51108, 52255, 65461, 51273, 50845, 51711, 51108, 53129, 50932, 53188, 50932, 53037, 77429, 50300, 62490, 50879, 69621, 53162, 51522, 50873, 51756, 53130, 50320, 54523, 56918, 52133, 51939, 51881, 51592, 51743, 51592, 51863, 51592, 51034, 51461, 51675, 51881, 55586, 51863, 51803, 52886, 51680, 52280, 60334, 51047, 50931, 51047, 51146, 51047, 52357, 51047, 52243, 51202, 55376, 51756, 51542, 61889, 79489, 52942, 57107, 52280, 51642, 50438, 51339, 53946, 61194, 52213, 58937, 51881, 51079, 51863, 78876, 51743, 50820, 51838, 50820, 52402, 53866, 51743, 51939, 52255, 52916, 52414, 53866, 52213, 50834, 51034, 51560, 51675, 51743, 51627, 52402, 51592, 53188, 52431, 52280, 52015, 51040, 51047, 50965, 51148, 50931, 51077, 52243, 51202, 59094, 75896, 51302, 52942, 52600, 51743, 51592, 71931, 51001, 51253, 50931, 60503, 74173, 52861, 54758, 51560, 62977, 57028, 52387, 62924, 53817, 52916, 53181, 51592, 53100, 52916, 51743, 52431, 50449, 53541, 51123, 52387, 50813, 67834, 50841, 51098, 51675, 50861, 50820, 51028, 54200, 56694, 55376, 51615, 52916, 52414, 51592, 52430, 52431, 50416, 52213, 52140, 72130, 52712, 63156, 50931, 53119, 52942, 56305, 51743, 51753, 63808, 65140, 64390, 54586, 53100, 68434, 50959, 67809, 50449, 51863, 50825, 52036, 50825, 51881, 52140, 51863, 52431, 52133, 51592, 51743, 52140, 51034, 51461, 50943, 51743, 50829, 51656, 50820, 52036, 50820, 51881, 51199, 51838, 51592, 52626, 51592, 52387, 52015, 50997, 51253, 67104, 50902, 51253, 51062, 51109, 52243, 51202, 58830, 51065, 52641, 51150, 62542, 78248, 53759, 52953, 74576, 50843, 57004, 50624, 50435, 50624, 50436, 50843, 57514, 50624, 50438, 51461, 59198, 61433, 50879, 69621, 58616, 50624, 50444, 51461, 50937, 51756, 50822, 51062, 57468, 54368, 50624, 50448, 51743, 52140, 51656, 51939, 51711, 51592, 52225, 52528, 52213, 52916, 50449, 51756, 52168, 73831, 51675, 53389, 54573, 51743, 51662, 52430, 51592, 51971, 52980, 67137, 68275, 50999, 51047, 51430, 51047, 52243, 51202, 55376, 50624, 52235, 51148, 61889, 79489, 52942, 52766, 51062, 53946, 61194, 51850, 59352, 50968, 76791, 53181, 51592, 52133, 51592, 52033, 51939, 52255, 53866, 50448, 52033, 50928, 51711, 50829, 53828, 57723, 51863, 52431, 52225, 51592, 53037, 52783, 51034, 52157, 51675, 56726, 52431, 51756, 52783, 68275, 51147, 51148, 51430, 51077, 52243, 51202, 55376, 51971, 55586, 72130, 79489, 52942, 56305, 53828, 53264, 51147, 50810, 51081, 50822, 51430, 52764, 59120, 51261, 70627, 52626, 55322, 52157, 50845, 51760, 58695, 56918, 53389, 51592, 53541, 52528, 51881, 51592, 51615, 52140, 51034, 52419, 51675, 51615, 52431, 51838, 51592, 52886, 51662, 52187, 52431, 52840, 50835, 63775, 50902, 51109, 52243, 51202, 55376, 51760, 51080, 72130, 52712, 66737, 50999, 53119, 52942, 56305, 51656, 51753, 50438, 50973, 66986, 64390, 59120, 51756, 64100, 51760, 54394, 51881, 50978, 51756, 61666, 72338, 50866, 50445, 52721, 69300, 51881, 52528, 52033, 51592, 51615, 52140, 51711, 52528, 50449, 52137, 50825, 51615, 50867, 52225, 51592, 52886, 51592, 79515, 51056, 52033, 51592, 51756, 52015, 78120, 69459, 50968, 51253, 51146, 51109, 52243, 51202, 58830, 51065, 52641, 51389, 59391, 78248, 53759, 52953, 50968, 66696, 59051, 50843, 52621, 51273, 57864, 63191, 54581, 55051, 52986, 51273, 50917, 51756, 51710, 50330, 57603, 58078, 52402, 52916, 51743, 51677, 52255, 52431, 52414, 52528, 51034, 51560, 51591, 53100, 51939, 52036, 51939, 54339, 51677, 52840, 51742, 51040, 51183, 50965, 51183, 50931, 51183, 51405, 64250, 55731, 53227, 50816, 50829, 51302, 53843, 53040, 51147, 53888, 60464, 51756, 53783, 51001, 50987, 50445, 52840, 71303, 52033, 51662, 52332, 52528, 51656, 51939, 51838, 51939, 50449, 52332, 51080, 57633, 52916, 51881, 51939, 53828, 51677, 52033, 51662, 53129, 51592, 51034, 51493, 51623, 52430, 51080, 52840, 60500, 51127, 67663, 51114, 51336, 52613, 51202, 56260, 51760, 51145, 72130, 50829, 51302, 53766, 58694, 50624, 50438, 52332, 50995, 54227, 51480, 50877, 74335, 51619, 50322, 56946, 58772, 50624, 50444, 51493, 56777, 56038, 50624, 51881, 50978, 52402, 51592, 51743, 51486, 52255, 51939, 52414, 51592, 51760, 50857, 51034, 51560, 51623, 52255, 50835, 53100, 51592, 52255, 51662, 52340, 51592, 54339, 51662, 52527, 51183, 51040, 63509, 52613, 51202, 59891, 50624, 72130, 52928, 62676, 51001, 54172, 53766, 58694, 52402, 51328 ]

[ 0, 250, 20902, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 41, 21979, 8669, 6, 2382, 3459, 8669, 6, 2342, 4467, 6, 21072, 6, 8, 3459, 9590, 6, 70, 567, 561, 7, 1045, 10, 32076, 8, 15352, 30054, 5466, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 1769, 20889, 9, 24543, 13410, 228, 2289, 6, 42, 2214, 7630, 6568, 6453, 9, 657, 6, 10563, 6, 8, 7125, 149, 63, 17627, 17274, 34879, 8, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 50796, 64170, 52996, 50415, 50988, 51852, 50426, 50935, 51806, 50433, 50988, 51961, 51208, 52618, 50439, 50847, 51797, 50447, 51185, 53674, 50450, 50847, 51738, 57746, 52188, 51530, 52407, 50426, 50988, 51965, 50432, 50872, 51642, 50433, 51023, 52618, 50438, 50850, 51709, 50447, 51092, 53674, 50450, 80040, 57746, 51797, 51403, 54532, 50426, 50988, 65948, 50988, 50905, 51020, 52011, 50438, 50988, 51309, 50446, 51092, 52256, 50450, 50988, 51484, 78110, 71755, 51797, 50988, 53957, 50415, 51185, 51447, 50426, 50944, 51576, 50988, 66255, 50988, 50905, 51268, 65461, 50944, 51775, 50988, 51309, 50446, 51023, 51961, 50450, 50988, 51411, 50847, 51806, 57746, 53957, 50848, 51961, 50850, 51108, 51092, 52168, 50426, 50988, 51051, 59305, 50432, 50988, 50959, 50848, 51679, 65539, 51061, 52431, 50438, 50988, 51312, 67907, 53160, 73196, 50850, 51542, 50447, 51023, 54171, 50450, 50988, 51709, 50451, 50848, 52378, 57746, 52188, 50848, 51961, 50850, 51108, 51092, 67778, 50988, 51051, 59305, 50432, 50988, 57053, 51679, 65539, 50433, 51061, 51965, 50438, 50988, 51312, 67907, 53160, 73196, 78949, 50447, 51023, 51477, 50450, 50988, 51709, 50451, 50848, 52378, 57746, 52188, 50848, 52188, 78656, 51208, 51680, 50426, 50988, 51051, 58661, 50432, 50988, 57053, 54938, 50988, 51312, 50848, 52378, 53160, 51477, 50444, 50847, 51961, 51020, 66405, 50988, 51253, 50451, 50848, 52378, 57746, 51576, 50848, 52188, 50872, 51679, 51208, 51680, 50426, 50988, 51051, 58661, 50432, 50988, 57053, 51867, 50297, 51637, 50438, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 50872, 51961, 51020, 66405, 50988, 51253, 50451, 50848, 52378, 57746, 51484, 50885, 52048, 50868, 51679, 51208, 51680, 50420, 50847, 52441, 50426, 50988, 51051, 64646, 50432, 50988, 57245, 51867, 50296, 51637, 50438, 50988, 51109, 50885, 52378, 53160, 51318, 66368, 51961, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 58375, 50988, 51484, 50885, 52048, 50979, 51679, 51208, 51742, 50420, 50847, 52441, 50426, 50988, 51051, 64646, 50432, 50988, 57245, 51867, 50295, 51637, 50438, 50988, 51109, 50885, 52378, 53160, 51318, 50444, 50979, 51961, 51020, 51080, 50448, 51667, 51356, 50450, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 57746, 51484, 50848, 52048, 50847, 51679, 51208, 51742, 50426, 51652, 51566, 50988, 51051, 64730, 50432, 50988, 57053, 51867, 50294, 51637, 50436, 52457, 51345, 50438, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 70984, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50848, 52378, 66169, 53295, 50988, 51484, 50848, 52048, 50872, 51679, 51208, 51742, 50426, 50988, 51051, 64730, 50432, 50988, 57053, 51867, 50297, 51637, 50438, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 71205, 51020, 66405, 50872, 51852, 50988, 51253, 50451, 50848, 52378, 57746, 51484, 50885, 52048, 50868, 51679, 51208, 51742, 50420, 50847, 52441, 50426, 50988, 51051, 64646, 50432, 50988, 57245, 51867, 50296, 51637, 50438, 50988, 51109, 50885, 52378, 53160, 51318, 66368, 51961, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 66169, 52121, 50988, 51484, 50885, 52048, 50979, 51679, 51208, 51742, 50420, 50847, 52441, 50425, 51652, 55341, 50988, 51051, 64646, 50431, 52376, 70756, 50988, 57245, 51867, 50295, 51637, 50437, 51652, 56360, 50988, 51109, 50885, 52378, 53160, 51318, 50444, 51652, 50889, 50979, 51961, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 50456, 51667, 51173, 57746, 51484, 50848, 52048, 50847, 51679, 51208, 51742, 50415, 51652, 53765, 52376, 73722, 51051, 64730, 50432, 52457, 52392, 50988, 57053, 51867, 50294, 51637, 50438, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 70984, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50848, 52378, 66169, 53295, 50988, 51484, 50848, 52048, 50872, 51679, 51208, 51742, 50426, 50988, 51051, 64730, 50432, 50988, 57053, 51867, 50297, 51637, 50438, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 71205, 51020, 66405, 50872, 51852, 50988, 51253, 50451, 50848, 52378, 57746, 51484, 50885, 52048, 50868, 51679, 51208, 51742, 50420, 50847, 52441, 50426, 50988, 51051, 64646, 50432, 50988, 57245, 51867, 50296, 51637, 50438, 50988, 51109, 50885, 52378, 53160, 51318, 66368, 51961, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 66169, 52121, 50988, 51484, 50885, 52048, 50979, 51679, 51208, 51742, 50420, 50847, 52441, 50426, 50988, 51051, 64646, 50432, 50988, 57245, 51867, 50295, 51637, 50438, 50988, 51109, 50885, 52378, 53160, 51318, 50444, 50979, 51961, 51020, 51080, 50448, 51667, 51356, 50450, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 57746, 51484, 50848, 52048, 50847, 51679, 51208, 51742, 50426, 51652, 79752, 51051, 64730, 50432, 50988, 57053, 51867, 50294, 51637, 50438, 52457, 51345, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 70984, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50848, 52378, 66169, 53295, 50988, 51484, 50848, 52048, 50872, 51679, 51208, 51742, 50856, 52917, 50988, 51051, 64730, 50432, 50988, 57053, 51867, 50297, 51637, 50438, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 71205, 51020, 66405, 50872, 51852, 50988, 51253, 50451, 50848, 52378, 57746, 51484, 50885, 52048, 50868, 51679, 51208, 51742, 50420, 50847, 52441, 50426, 50988, 51051, 64646, 50432, 50988, 57245, 51867, 50296, 51637, 50438, 50988, 51109, 50885, 52378, 53160, 51318, 66368, 51961, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 66169, 52121, 50988, 51484, 50885, 52048, 50979, 51679, 51208, 51742, 50420, 50847, 52441, 50426, 51652, 67933, 51051, 64646, 50432, 52376, 72226, 57245, 51867, 50295, 51637, 50437, 51652, 63418, 50988, 51109, 50885, 52378, 53160, 51318, 50444, 50979, 51961, 51020, 66405, 51667, 68941, 52460, 50988, 51253, 50451, 50885, 52378, 73935, 76692, 51484, 50848, 52048, 50847, 51679, 51208, 51742, 50426, 52376, 51379, 50988, 51051, 64730, 50432, 50988, 57053, 51867, 50294, 51637, 50434, 52457, 57222, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 70984, 51020, 66405, 52135, 53073, 50847, 52460, 50988, 51253, 50451, 50848, 52378, 66169, 53295, 50988, 51484, 50848, 52048, 50872, 51679, 51208, 51742, 50426, 50988, 51051, 64730, 50432, 50988, 57053, 51867, 50297, 51637, 50438, 50988, 51109, 50848, 52378, 53160, 51318, 50444, 71205, 51020, 66405, 50872, 51852, 50988, 51253, 50451, 50848, 52378, 57746, 51484, 50885, 52048, 50868, 51679, 51208, 54829, 51089, 51680, 50420, 50847, 52441, 50426, 50988, 51051, 64646, 50432, 50988, 57245, 51867, 50296, 51637, 50438, 50988, 51109, 50885, 52378, 53160, 51318, 66368, 51961, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 66169, 52071, 50988, 51484, 50885, 52048, 50979, 51679, 51208, 51742, 50420, 50847, 52441, 50426, 50988, 51051, 64646, 50432, 50988, 57245, 51867, 50295, 51637, 50438, 50988, 51109, 50885, 52378, 53160, 51318, 50444, 50979, 51961, 51020, 66405, 50847, 52460, 50988, 51253, 50451, 50885, 52378, 50456, 52457, 50948, 59626, 51652, 51090, 50927, 51562, 50988, 51480, 50848, 52048, 50847, 51679, 51208, 51742, 50832, 54897, 55591, 50987, 55997, 59197, 51667, 51167, 50988, 50933, 50848, 62558, 62653, 57959, 51652, 73722, 57046, 51867, 50294, 51283, 50832, 59461, 55707, 51443, 51056, 50988, 51109, 50848, 52188 ]

[ 0, 250, 33928, 8, 33558, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 13305, 6, 21072, 6, 21979, 8669, 6, 3459, 9590, 6, 8, 32909, 4, 20, 2125, 16, 11, 230, 538, 6, 19, 10, 7212, 20889, 9, 8971, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 10726, 9, 230, 8, 272, 406, 6, 8216, 7, 5, 2214, 18, 17627, 17274, 8, 15352, 30054, 2574, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 56310, 51458, 50297, 51151, 51164, 51151, 50946, 51101, 52936, 60922, 67617, 53502, 56566, 67141, 50901, 53645, 56204, 64390, 56794, 54777, 50900, 56566, 61098, 55306, 51027, 62756, 61525, 54068, 55322, 50900, 56566, 67141, 55125, 50871, 56204, 64390, 56794, 55670, 50900, 56566, 61098, 50901, 79705, 51734, 50301, 58800, 59258, 78167, 51151, 51164, 51151, 50946, 51101, 52936, 60922, 67617, 53502, 56566, 67141, 55035, 53250, 51255, 50871, 57254, 51363, 77115, 50872, 64390, 56794, 54777, 50900, 56566, 61098, 61647, 53250, 60951, 50822, 50876, 53415, 53407, 52434, 50301, 57254, 61913, 60884, 61525, 54042, 55945, 56418, 66040, 59374, 51911, 50326, 61677, 67141, 55125, 50871, 56204, 64390, 56794, 55670, 54985, 63327, 57586, 51644, 50325, 55109, 61098, 50901, 50799, 54985, 64689, 51458, 50292, 59391, 75052, 50914, 51332, 50915, 51037, 51101, 50964, 58641, 67617, 53502, 56566, 67141, 55035, 53863, 51194, 50916, 61419, 51363, 50951, 51221, 50868, 64390, 56794, 54777, 50900, 56566, 61098, 61647, 55602, 60951, 50822, 51114, 53415, 53863, 51267, 50997, 51514, 50292, 64292, 71946, 50914, 51332, 50915, 51037, 51101, 50964, 58955, 54068, 50901, 55513, 56566, 67141, 55125, 50916, 55905, 64390, 56794, 55670, 50900, 56566, 61098, 50901, 50799, 54985, 51159, 51027, 51458, 50297, 59391, 75052, 50914, 51164, 50915, 50946, 51101, 50945, 58641, 67617, 53502, 56566, 67141, 55035, 53407, 75494, 57254, 51363, 50931, 51221, 51027, 51003, 50946, 64986, 51101, 51011, 58379, 56794, 54777, 50900, 56566, 61098, 61647, 53407, 50833, 62804, 50931, 54181, 53407, 64689, 51514, 50292, 60598, 65910, 50914, 51164, 51003, 50946, 51101, 50964, 58955, 54068, 55322, 50900, 56566, 67141, 55125, 53771, 65430, 61567, 59487, 57094, 71278, 61677, 56204, 51101, 51133, 58379, 56794, 55670, 50900, 63327, 56566, 57847, 52839, 50901, 78857, 51518, 51027, 58800, 51662, 50931, 51518, 51050, 51151, 51164, 51151, 50946, 51101, 50945, 60922, 67617, 53502, 56566, 67141, 50901, 53645, 56204, 64390, 56794, 54777, 50900, 56566, 61098, 55306, 51027, 62756, 61525, 54068, 55322, 50900, 56566, 67141, 55125, 50871, 56204, 64390, 56794, 55670, 50900, 56566, 61098, 50901, 79705, 51734, 50301, 58800, 59258, 51800, 50297, 51151, 51164, 51151, 50946, 51101, 52936, 60922, 67617, 53502, 56566, 67141, 55035, 53250, 51255, 50871, 57254, 51363, 77115, 50872, 64390, 56794, 54777, 50900, 56566, 61098, 61647, 53250, 60951, 50822, 50876, 53415, 53407, 52434, 50301, 57254, 61913, 60884, 61525, 54068, 55322, 56418, 66040, 59374, 51911, 50326, 61677, 67141, 55125, 50871, 56204, 64390, 56794, 55670, 54985, 63327, 57586, 51644, 50325, 55109, 61098, 50901, 50799, 54985, 64689, 51458, 50292, 59391, 75052, 50914, 51332, 50915, 51037, 51101, 50964, 58641, 67617, 53502, 56566, 67141, 55035, 53863, 51194, 50916, 61419, 51363, 50951, 51221, 50868, 64390, 56794, 54777, 50900, 56566, 61098, 61647, 55602, 60951, 50822, 51114, 53415, 53863, 51267, 50997, 51514, 50292, 64292, 71946, 50914, 51332, 50915, 51037, 51101, 50964, 58955, 54068, 55322, 50900, 56566, 67141, 55125, 50916, 55905, 64390, 56794, 55670, 50900, 56566, 61098, 50901, 50799, 54985, 51159, 51027, 51458, 50297, 59391, 75052, 50914, 51164, 50943, 50946, 51101, 50945, 58641, 67617, 53502, 56566, 67141, 55035, 53407, 75494, 57254, 51363, 50931, 51221, 51027, 51003, 71209, 75333, 51011, 58379, 56794, 54777, 50900, 56566, 61098, 61647, 53407, 50854, 62804, 50931, 54181, 53407, 64689, 51514, 50292, 60598, 65910, 50914, 51164, 51003, 50946, 51101, 50964, 58955, 54042, 55322, 50900, 56566, 67141, 55125, 53771, 65430, 59487, 57864, 71278, 61677, 56743, 51101, 51133, 58379, 56794, 55670, 50900, 63327, 56566, 50987, 50885, 57154, 50901, 78857, 51692, 51027, 58800, 51662, 50931, 51518, 51050, 51151, 51164, 51151, 50946, 51101, 50945, 60922, 67617, 53502, 56566, 67141, 50901, 53645, 56204, 64390, 56794, 54777, 50900, 56566, 61098, 55306, 51027, 62756, 61525, 54042, 50901, 55513, 56566, 67141, 55125, 50871, 56204, 64390, 56794, 55670, 50900, 56566, 53021, 50901, 79922, 69970, 60581, 58532, 68504, 50914, 50885, 56566, 50915, 50964, 58641, 54068, 55689, 50916, 55077, 67141, 55035, 53771, 51221, 50900, 57864, 51363, 50968, 51255, 50885, 64390, 56794, 54777, 50916, 55077, 61098, 61647, 53771, 61368, 50822, 50968, 53415, 53863, 51356, 50997, 51514, 50302, 64292, 51077, 50951, 51196, 51037, 67703, 50915, 51096, 58955, 54042, 55945, 50899, 55257, 67141, 55125, 50997, 68799, 64390, 56794, 55670, 50899, 55257, 61098, 50901, 77632, 78389, 51458, 50302, 60241, 61739, 50914, 51037, 67703, 50915, 51096, 58641, 67617, 54569, 55257, 67141, 55035, 53077, 51221, 50997, 58520, 51363, 50902, 51255, 51037, 64390, 56794, 54777, 50899, 55257, 61098, 61647, 53077, 62465, 50822, 50902, 53415, 53407, 51734, 50301, 75125, 60598, 65910, 50914, 50946, 59324, 50915, 51069, 58955, 54068, 55322, 50900, 56566, 67141, 55125, 53407, 51221, 51027, 57254, 51363, 77115, 75248, 50946, 64390, 56794, 55670, 50900, 56566, 61098, 62533, 53407, 62391, 50822, 59855, 66771, 79922, 51159, 51026, 69324, 58532, 59258, 68504, 50914, 50988, 61364, 50915, 51443, 58641, 67617, 53502, 56566, 67141, 55035, 53863, 51221, 50997, 61419, 51363, 50876, 51363, 50951, 51221, 51037, 64390, 56794, 54777, 50900, 56566, 61098, 61647, 53863, 63947, 50822, 59855, 50951, 53415, 53407, 51056, 51050, 51514, 50297, 60598, 59937, 65910, 50914, 51164, 77594, 50915, 52936, 58955, 54068, 55322, 50900, 56566, 67141, 55125, 54985, 51734, 50301, 58000, 65910, 51741, 50325, 50943, 50946, 64390, 56794, 55670, 50900, 56566, 61098, 50901, 57530, 54985, 51919, 50299, 59006, 74690, 68502, 55963, 55808, 50873, 51443, 54788, 67617, 50419, 50627, 50420, 53863, 52545, 50299, 57743, 60452, 61352, 60694, 56743, 50901, 51443, 57154, 50901, 50424, 50626, 50426, 53407, 52545, 50299, 57449, 60452, 64213, 60694, 57076, 50901, 51443, 56993, 56794, 64627, 50626, 50432, 53077, 52545, 50299, 57743, 74690, 59374, 60694, 56743, 50873, 51443, 57154, 61647, 50625, 50438, 53250, 79230, 68184, 60763, 51003, 64804, 60172, 50964, 58955, 54068, 50901, 50440, 50625, 51180, 50901, 50445, 50624, 50448, 51085, 50889, 50449, 63365, 50916, 69785, 50619, 53250, 51377, 50861, 51227, 50906, 51345, 50876, 51112, 51332, 51346, 50964, 58955, 56369, 50901, 51206, 50901, 50451, 50885, 51116, 50452, 69907, 77362, 56871, 57651, 51224, 54806, 50854, 57530, 53250, 50914, 51667, 50943, 51978, 50943, 54833, 51734, 50301, 58800, 59391, 79972, 51151, 52064, 50943, 51164, 51151, 50946, 51101, 52936, 60922, 50873, 51335, 50873, 53502, 56566, 80153, 53172, 53250, 51221, 51667, 51255, 51978, 51255, 54833, 51255, 50871, 57254, 51363, 77115, 52064, 51255, 50872, 64390, 50901, 51321, 54777, 50900, 56566, 78973, 58952, 53250, 50855, 51667, 50810, 51978, 50813, 54833, 50810, 62804, 60040, 52064, 52781, 53407, 50937, 51667, 50977, 52394, 50977, 54833, 75125, 57254, 61913, 50849, 52249, 50977, 50946, 61525, 60095, 55945, 56418, 51056, 51633, 51109, 51978, 50915, 54833, 60045, 59374, 51911, 50326, 50943, 54113, 51109, 50885, 80153, 55125, 50871, 56204, 64390, 50901, 51321, 55670, 54985, 50873, 51643, 50845, 51978, 50845, 54833, 68038, 57586, 51644, 50325, 50873, 52142, 56566, 78973, 50901, 50799, 54985, 51159 ]

[ 0, 250, 19448, 3495, 1619, 2214, 19, 5175, 4785, 6, 4246, 10, 13305, 483, 7513, 30, 3459, 8669, 6, 21072, 6, 38668, 11212, 6, 8, 21979, 9590, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 16634, 178, 5285, 20889, 4, 20, 33215, 16739, 9, 230, 6, 272, 73, 387, 6, 8, 1918, 3639, 7, 5, 2214, 18, 32625, 8, 5679, 26709, 5466, 6, 1969, 13, 9592, 2317, 9450, 8, 657, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57448, 55239, 57974, 55723, 51468, 54079, 50824, 51273, 51054, 52176, 50980, 51144, 50917, 51893, 50914, 77096, 50943, 52583, 52188, 52693, 51775, 52684, 51380, 50843, 52543, 58486, 51708, 51101, 51070, 53738, 51198, 53869, 56016, 51144, 59418, 53098, 51493, 51237, 51493, 51054, 52533, 50980, 51232, 50873, 79330, 67688, 50915, 53460, 51775, 53278, 51412, 52507, 51380, 59811, 55739, 51869, 50959, 51070, 56761, 51280, 53869, 55799, 51144, 53332, 53569, 51140, 52379, 51140, 52208, 51876, 51285, 51144, 50917, 51334, 51307, 64679, 51047, 53460, 51243, 52693, 51445, 52684, 62726, 52300, 54735, 51708, 50978, 51070, 53384, 51119, 78562, 55721, 51144, 51364, 51070, 53430, 52507, 51677, 59811, 54363, 51280, 51364, 51070, 54038, 50913, 56047, 51708, 55127, 50891, 59649, 51115, 61919, 51103, 50843, 52300, 55926, 51708, 51242, 51070, 54213, 51119, 56428, 55375, 51144, 51446, 51070, 52976, 51708, 51539, 52755, 53943, 51280, 55624, 53814, 51708, 54766, 55813, 51876, 54018, 54114, 51273, 51054, 51273, 51054, 52176, 51227, 51893, 50914, 77096, 50914, 52583, 51775, 52693, 51233, 52684, 51380, 50843, 52694, 54735, 51708, 51233, 51070, 53384, 51198, 76975, 55686, 51144, 57233, 53166, 51493, 51735, 51493, 51454, 52533, 51345, 51232, 51095, 51924, 50981, 67688, 50914, 53460, 51775, 53278, 51775, 52507, 51775, 59811, 54859, 51869, 50901, 51070, 53556, 51280, 53869, 55397, 51232, 57072, 50891, 53202, 51009, 51140, 51527, 51876, 51285, 51144, 51111, 51334, 51189, 64679, 51218, 53460, 51535, 52693, 51397, 52507, 51417, 50843, 52543, 55926, 51708, 50901, 51070, 53420, 51119, 53540, 54604, 51144, 51141, 51070, 52966, 51708, 50867, 59811, 54929, 51280, 55624, 53670, 51708, 50813, 51390, 51103, 67932, 71038, 55799, 51280, 50800, 67688, 55127, 53115, 51098, 51870, 51098, 51527, 51869, 51285, 67932, 51189, 52583, 51627, 52507, 51183, 50843, 52543, 54704, 52040, 50849, 51070, 53384, 51198, 76975, 54914, 51429, 55624, 52805, 51099, 51095, 59811, 55647, 51198, 57812, 53555, 52040, 50858, 51334, 50822, 64679, 55027, 56047, 51198, 50841, 51099, 50829, 51590, 50833, 78316, 61119, 50863, 54389, 51009, 51216, 51527, 52537, 51148, 51232, 51116, 51229, 51307, 61919, 51127, 53278, 51244, 52684, 51244, 50843, 52543, 58486, 52533, 51535, 51070, 53738, 51708, 50995, 50913, 56016, 53163, 50846, 51119, 51417, 51070, 53098, 53163, 50948, 51280, 50867, 59811, 55739, 51232, 55624, 56761, 52787, 50835, 51280, 80144, 55799, 52787, 51178, 51708, 54561, 53569, 51098, 51870, 51098, 51527, 51869, 51274, 52583, 51749, 52507, 51535, 50843, 52300, 54735, 52040, 50978, 51070, 53384, 52787, 50844, 51198, 55748, 55721, 53059, 50937, 51099, 51226, 51070, 53430, 52040, 50857, 59811, 54363, 52631, 50839, 51198, 57427, 54038, 52040, 51051, 50913, 56047, 52631, 50845, 51869, 52909, 50891, 53202, 52208, 51140, 52208, 51876, 51264, 51144, 50942, 53460, 51748, 78064, 52507, 51313, 50843, 52300, 55926, 52588, 50812, 51708, 56320, 54213, 51280, 52501, 55375, 52564, 50892, 51099, 50936, 51070, 52976, 51280, 50851, 59811, 53943, 52588, 51183, 51144, 51363, 51070, 53814, 51280, 79077, 55813, 51153, 51196, 51070, 54114, 51280, 58043, 52694, 54735, 51099, 57194, 53384, 51280, 56138, 55686, 51144, 50921, 51070, 53166, 51280, 50822, 59811, 54859, 78147, 51070, 53556, 51280, 54738, 55397, 51144, 54274, 50891, 54079, 51527, 51273, 51527, 52176, 51661, 51144, 65800, 51477, 52693, 51283, 52684, 52136, 50843, 52543, 55926, 51708, 51101, 51070, 53420, 51198, 76975, 54604, 78147, 51070, 52966, 51708, 50867, 59811, 54929, 52588, 50812, 51144, 51100, 51070, 53670, 52631, 50833, 51708, 55748, 55799, 53059, 50813, 51198, 50879, 51070, 53115, 51098, 51870, 51098, 51527, 53368, 51100, 51869, 51226, 56470, 51878, 52583, 51637, 52507, 53478, 50843, 52543, 54704, 52040, 50977, 51070, 53384, 53059, 50844, 51198, 50977, 50913, 54914, 52588, 50917, 51429, 55624, 52805, 77579, 59811, 55647, 52564, 50839, 51198, 60658, 53555, 52040, 56474, 56047, 52564, 50833, 51198, 50376, 52663, 55929, 52379, 51461, 52208, 53191, 51677, 51964, 51469, 51198, 50910, 53460, 52222, 53278, 52062, 50843, 52543, 55926, 51232, 51267, 51070, 53420, 51869, 64099, 54604, 51280, 50879, 51070, 52966, 51869, 50867, 59811, 54929, 51099, 60228, 53670, 51280, 56753, 55799, 51153, 51215, 51070, 53115, 51280, 51309, 50843, 52543, 54704, 51232, 57918, 53384, 51099, 52703, 54914, 51099, 50821, 57463, 57918, 52805, 51280, 50867, 53145, 50886, 59811, 55647, 51198, 58122, 53555, 51232, 50917, 52395, 55641, 56047, 51869, 60228, 50863, 54389, 51870, 51216, 51527, 52537, 51274, 51232, 50795, 54010, 51058, 53278, 51148, 52684, 51145, 50843, 52543, 58486, 51708, 50933, 51070, 53738, 53163, 50841, 51280, 52790, 56016, 53163, 50967, 51119, 51274, 51070, 53098, 51280, 51539, 52755, 55739, 51232, 57233, 56761, 52787, 50828, 51280, 56138, 55799, 52787, 75006, 64274, 53569, 51098, 51009, 51098, 51527, 51869, 51397, 52583, 51749, 52507, 51535, 50843, 52300, 54735, 52787, 50865, 52040, 50938, 51070, 53384, 79200, 50913, 55721, 53059, 50901, 51429, 50936, 51070, 53430, 51099, 51346, 59811, 54363, 52631, 50862, 51198, 61452, 54038, 52040, 54853, 56047, 52631, 50977, 51198, 59418, 50891, 53202, 52208, 51140, 52208, 51876, 51933, 51144, 50866, 53460, 51243, 52693, 52071, 52507, 52069, 50843, 52300, 55926, 52588, 50937, 51869, 50863, 51708, 59031, 54213, 51280, 54766, 55375, 52564, 50845, 75916, 51070, 52976, 51280, 50874, 59811, 53943, 52588, 51452, 51144, 51162, 51070, 53814, 51280, 63832, 55813, 51153, 51196, 51070, 54114, 51280, 58043, 52694, 54735, 51099, 62483, 53384, 51280, 55962, 55686, 51144, 50924, 51070, 53166, 51876, 51203, 59811, 54859, 51119, 50892, 51070, 53556, 51280, 76975, 55397, 51144, 54018, 50891, 54079, 51527, 51273, 51527, 52176, 51285, 51144, 51100, 52583, 51293, 52693, 51313, 52684, 51445, 50843, 52543, 55926, 51708, 51233, 51070, 53420, 51198, 57733, 54604, 51119, 50917, 51070, 52966, 51708, 50959, 59811, 54929, 51144, 51241, 51070, 53670, 52631, 50859, 51708, 54738, 55799, 53059, 50844, 51198, 50893, 51070, 53115, 51273, 51870, 51273, 51527, 53368, 50873, 52176, 51562, 50843, 52543, 54704, 51708, 79175, 53384, 52588, 50846, 51280, 52501, 54914, 51144, 51158, 51070, 52805, 52588, 50833, 51708, 50810, 59811, 55647, 52564, 50833, 80064, 51070, 53555, 52631, 51358, 51708, 50977, 50913, 56047, 51198, 57918, 50863, 53458, 52512, 51098, 52097, 51869, 51285, 77579, 53460, 51749, 52583, 51939, 52507, 51677, 50843, 52543, 55926, 52040, 79175, 53420, 51198, 76975, 54604, 51099, 57233, 52966, 52040, 51539, 52755, 54929, 51119, 60658, 53670, 51198, 51174, 50913, 55799, 51869, 53419, 53115, 51098, 51054, 51098, 51054, 51869, 51112, 51198, 50987, 51119, 50808, 56470, 51627, 50843, 52543, 54704, 51429, 50805, 51070, 53384, 51198, 50978, 50913, 54914, 51099, 59418, 52805, 51140, 51237, 51140, 51054, 51876, 51116, 51119, 51235, 52693, 51775, 59811, 55647, 52631, 50844, 51144, 55127, 53555, 52588, 50841, 51280, 57733, 56047, 70868, 51144, 59418, 50863, 56098, 51870, 51493, 51527, 53059, 50858, 52533, 51196, 51099, 50936, 51209, 52263, 51590, 52263, 67688, 51183, 56470, 51310, 53278, 51310, 52507, 51115, 69443, 52543, 58486, 52787, 50858, 52040, 70136, 53738, 51232, 53869, 56016 ]

[ 0, 250, 765, 15855, 2125, 4246, 41, 21979, 8669, 6, 42, 15229, 1931, 21683, 10, 19448, 8, 5679, 26709, 13569, 9862, 4, 590, 10, 7212, 20889, 8, 278, 11, 5, 762, 9, 211, 3694, 6, 24, 30853, 18399, 11, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 163, 428, 6, 83, 6, 8, 1614, 757, 3639, 10, 2842, 9, 45565, 12589, 4002, 7, 42, 15352, 30054, 8, 822, 12, 3341, 4388, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 73085, 50417, 50947, 53113, 51032, 54007, 51067, 52422, 51786, 55104, 51067, 52686, 51032, 53660, 50947, 52877, 73085, 50441, 50947, 53247, 51032, 54787, 51067, 53153, 65222, 51786, 55982, 51067, 52935, 51032, 54863, 60405, 61108, 75843, 51064, 53113, 51067, 54007, 51563, 52422, 53019, 55104, 51064, 52686, 51067, 53660, 51563, 52877, 80161, 50441, 50929, 53247, 51064, 54787, 51067, 53153, 51549, 55982, 50929, 52935, 51064, 54863, 65611, 60533, 75843, 50947, 53113, 51032, 54007, 51067, 52422, 51786, 55104, 51067, 52686, 51032, 53660, 50947, 52877, 73085, 50441, 50947, 53247, 51032, 54787, 51067, 53153, 65222, 51788, 55982, 51067, 52935, 51032, 54863, 60405, 61108, 75843, 51064, 53113, 51067, 54007, 51563, 52422, 53019, 55104, 51064, 52686, 51067, 53660, 51563, 52877, 80161, 50441, 50929, 53247, 51064, 54787, 51067, 53153, 51549, 55982, 50929, 52935, 51064, 54863, 65611, 60938, 56191, 51064, 53113, 51549, 54007, 51438, 52422, 51549, 55104, 50929, 52686, 51064, 53660, 51549, 52877, 51078, 56050, 50947, 53247, 51067, 54787, 51549, 53153, 51067, 55982, 50970, 52935, 51169, 54863, 65611, 69146, 56191, 50929, 53113, 51032, 54007, 51067, 52422, 51032, 55104, 51136, 52686, 50929, 53660, 51032, 52877, 50960, 56050, 50970, 53247, 51064, 54787, 51032, 53153, 51064, 55982, 50960, 52935, 50970, 54863, 74670, 50799, 57998, 50417, 51136, 53113, 50947, 54007, 51064, 52422, 55784, 50429, 50986, 69055, 51136, 53660, 50947, 52877, 63965, 50441, 50960, 53247, 50929, 54787, 50947, 53153, 55046, 50453, 51246, 66911, 50960, 54863, 59400, 62954, 56191, 50986, 72101, 51078, 54007, 50929, 52422, 51078, 76707, 51131, 52686, 50986, 55246, 51078, 52877, 51207, 56050, 51246, 72040, 51136, 54787, 50970, 53153, 51136, 51160, 50453, 51207, 52935, 51246, 56277, 73711, 50799, 52028, 56191, 51131, 51160, 57761, 54007, 51136, 52422, 50960, 76707, 51504, 52686, 51846, 55246, 50960, 52877, 51574, 56050, 51207, 53247, 50986, 55967, 50960, 53153, 50986, 55982, 52562, 52935, 51207, 54863, 51317, 50821, 60533, 50821, 50960, 51160, 50417, 51207, 53113, 51246, 54901, 50960, 52422, 50929, 55104, 50947, 52686, 51064, 53660, 50929, 52877, 51444, 50821, 50929, 51160, 50441, 51131, 53247, 50986, 55967, 50929, 53153, 51444, 50821, 51078, 51160, 50453, 51131, 52935, 50986, 56277, 65222, 50799, 54432, 50821, 51246, 50821, 56767, 50417, 53271, 53113, 51444, 54007, 51207, 52422, 63965, 50429, 50960, 52686, 50929, 53660, 51064, 52877, 51067, 56050, 50929, 53247, 51064, 54787, 51067, 53153, 51563, 50821, 58208, 50453, 51064, 52935, 51067, 54863, 51563, 50821, 50799, 53019, 50821, 54432, 75843, 51064, 53113, 51067, 54007, 51563, 52422, 51067, 55104, 51563, 52686, 51064, 53660, 51067, 52877, 50929, 56050, 50960, 72040, 51246, 54787, 51207, 53153, 51444, 55982, 51207, 52935, 53271, 54863, 51444, 50821, 50799, 54432, 53765, 58208, 75914, 62569, 53019, 53585, 58208, 75914, 62569, 51563, 50896, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2933, 8, 5679, 26709, 5175, 15855, 15229, 6, 4246, 38668, 22052, 6, 1515, 21305, 6, 20535, 2810, 6, 326, 5638, 18026, 6, 8, 15679, 642, 1543, 4, 590, 10, 86, 6543, 9, 204, 73, 306, 8, 10, 27841, 3006, 11332, 20889, 9, 26196, 741, 1685, 6, 42, 2125, 16, 278, 11, 5, 762, 9, 211, 3694, 6, 21437, 10, 33215, 16739, 9, 211, 119, 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 ]

[ 50799, 50645, 54638, 50823, 64069, 50823, 56833, 50975, 52601, 50823, 63647, 50823, 51648, 50823, 52488, 50823, 53266, 74662, 52179, 50913, 52179, 50420, 53949, 50975, 60047, 50975, 52032, 50975, 58047, 50975, 51906, 50975, 52178, 59216, 50913, 75506, 53370, 51009, 55931, 51009, 51946, 51009, 53883, 51009, 51963, 51009, 51866, 51009, 53198, 61389, 70075, 50975, 55173, 74662, 52179, 50913, 52179, 50450, 50913, 51697, 53341, 51297, 50799, 72286, 50824, 58943, 50824, 53370, 50824, 53949, 50824, 53121, 50975, 52032, 50824, 51906, 50824, 54461, 50824, 52339, 50824, 52701, 50824, 52178, 58329, 52179, 50913, 52179, 50426, 50913, 75506, 70075, 50823, 54884, 50823, 56490, 51009, 53818, 51009, 52351, 51059, 52196, 51009, 51913, 51009, 55173, 50823, 51947, 50823, 53093, 51009, 52148, 51009, 53198, 61389, 51335, 52179, 50913, 52179, 50444, 70075, 50823, 55173, 53798, 50702, 50298, 50975, 55870, 70045, 51697, 53341, 51297, 50799, 54638, 50823, 64069, 50823, 56833, 50975, 52601, 50823, 63647, 50823, 51648, 50823, 52488, 50823, 53266, 74662, 52179, 50913, 52179, 50420, 53949, 50975, 60047, 50975, 52032, 50975, 58047, 50975, 51906, 50975, 52178, 59216, 50913, 75506, 53370, 51009, 55931, 51009, 51946, 51009, 53883, 51009, 51963, 51009, 51866, 51009, 53198, 61389, 70075, 50975, 55173, 74662, 52179, 50913, 52179, 50450, 50913, 51697, 53341, 51297, 50799, 72286, 50824, 58943, 50824, 53370, 50824, 53949, 50824, 53121, 50975, 52032, 50824, 51906, 50824, 54461, 50824, 52339, 50824, 52701, 50824, 52178, 58329, 52179, 50913, 52179, 50426, 50913, 75506, 70075, 50823, 54884, 50823, 56490, 51009, 53818, 51009, 52351, 50975, 52196, 51009, 51913, 51009, 55173, 50823, 51947, 50823, 53093, 51009, 52148, 51009, 53198, 61389, 51335, 52179, 50913, 52179, 50444, 70075, 50823, 55173, 53798, 50702, 50298, 50975, 55870, 70045, 51697, 53341, 51297, 50799, 54638, 50823, 64069, 50823, 56833, 50975, 52601, 50823, 63647, 50823, 51648, 50823, 52488, 50823, 53266, 74662, 52179, 50913, 52179, 50420, 53949, 50975, 60047, 50975, 52032, 50975, 58047, 50975, 51906, 50975, 52178, 59216, 50913, 75506, 53370, 51009, 55931, 51009, 51946, 51009, 53883, 51009, 51963, 51009, 51866, 51009, 53198, 61389, 70075, 50975, 55173, 74662, 52179, 50913, 52179, 50450, 50913, 51697, 53341, 51297, 50799, 70075, 50824, 58943, 50824, 53370, 50824, 53949, 50824, 53121, 50975, 52032, 50824, 51906, 50824, 55173, 50824, 52339, 50824, 52701, 50824, 52178, 58329, 52179, 50913, 52179, 50426, 50913, 75506, 70075, 50823, 54884, 50823, 56490, 51009, 53818, 51009, 52351, 50975, 52196, 51009, 51913, 51009, 55173, 50823, 51947, 50823, 53093, 51009, 52148, 51009, 53198, 61389, 51335, 52179, 50913, 52179, 50450, 70075, 50975, 54884, 50975, 55173, 50975, 51947, 70045, 51697, 53341, 51297, 50799, 72286, 50975, 53949, 50975, 53121, 50975, 52032, 50975, 51906, 50975, 54461, 50975, 52178, 74662, 52179, 50913, 52179, 50426, 53370, 50823, 51946, 57343, 75506, 53949, 50823, 53121, 50975, 52032, 50823, 51906, 50975, 52178, 50975, 53198, 61389, 54511, 50823, 52665, 68562, 52179, 50913, 52179, 50444, 70075, 50824, 56490, 50824, 53818, 50824, 52351, 50975, 53780, 50824, 52196, 50824, 53152, 50824, 51913, 50824, 55173, 50824, 52698, 50824, 52148, 50824, 53721, 51697, 53341, 51297, 50799, 56833, 50975, 56648, 50975, 53370, 50975, 52913, 50975, 51946, 50975, 51963, 50975, 53266, 50975, 53266, 50975, 52339, 50975, 51866, 74662, 54228, 50913, 52179, 50444, 56648, 50975, 57720, 50975, 52339, 58981, 54884, 50823, 52338, 50823, 52664, 50823, 51947, 57343, 51697, 50456, 58943, 50823, 54541, 50823, 54961, 50823, 52701, 50823, 53341, 51297, 50799, 70075, 50975, 54511, 50975, 54884, 51009, 52351, 50975, 52665, 50975, 52719, 50975, 55173, 50975, 52058, 50975, 51947, 51009, 51335, 52179, 50913, 52179, 50426, 55575, 50975, 52695, 50975, 52970, 50975, 51968, 70045, 52179, 53198, 61389, 50702, 50298, 50975, 54924, 50975, 58564, 50975, 53064, 50975, 52851, 50975, 55870, 50975, 52384, 74662, 52179, 50913, 52179, 50450, 56490, 50975, 53780, 50975, 53152, 50975, 52698, 70045, 52179, 53341, 51297, 50799, 53370, 50823, 56833, 50975, 52820, 50975, 51946, 50823, 51963, 50823, 51866, 50823, 53266, 74662, 52179, 50913, 52179, 50420, 53949, 50975, 52032, 50975, 51906, 50975, 52178, 59216, 50913, 75506, 56648, 50823, 54511, 50823, 52820, 50975, 52665, 50823, 52719, 50823, 52339, 50823, 52058, 50823, 53198, 61389, 51335, 52179, 50913, 52179, 50444, 56648, 50823, 52820, 50975, 52339, 53798, 54884, 50823, 52338, 50823, 52664, 50823, 51947, 57343, 51697, 50456, 58943, 50823, 54541, 50823, 54961, 50823, 52701, 50823, 53341, 51297, 50799, 54511, 50823, 70075, 50975, 54884, 51009, 52351, 50975, 52665, 50823, 52719, 50823, 52058, 50823, 55173, 50975, 51947, 51009, 51335, 52179, 50913, 52179, 50420, 54511, 50823, 52665, 50823, 52719, 50823, 52058, 53537, 55575, 50823, 52695, 50823, 52970, 50823, 51968, 57343, 75506, 55575, 50823, 52695, 50823, 52970, 50823, 51968, 50823, 53198, 61389, 54924, 50823, 50702, 50298, 50975, 58564, 50975, 53064, 50823, 52851, 50823, 52384, 50823, 55870, 74662, 52179, 50913, 52179, 50444, 56490, 50824, 53780, 50824, 53152, 50824, 52698, 54145, 50913, 51697, 53341, 51297, 50799, 56833, 50975, 53370, 50975, 52820, 50975, 51946, 50975, 51963, 50975, 53266, 50975, 51866, 74662, 52179, 50913, 52179, 50420, 53949, 50823, 60047, 50823, 50702, 50338, 50823, 52032, 50823, 58047, 50823, 52366, 50823, 52178, 53537, 59113, 50975, 53370, 50975, 55931, 50975, 50702, 50335, 50975, 51946, 50975, 53883, 50975, 51776, 50975, 53093, 50975, 51866, 70045, 51697, 53198, 61389, 56833, 50823, 54511, 50975, 54638, 50975, 64069, 50975, 52820, 50975, 52665, 50975, 52601, 50975, 51648, 50975, 53266, 50823, 52058, 74662, 52179, 50913, 52179, 50444, 56648, 50823, 52339, 53798, 54884, 50823, 52338, 50823, 52664, 50823, 51947, 57343, 51697, 50456, 58943, 50823, 54541, 50823, 54961, 50823, 52701, 50823, 53341, 51297, 50799, 54511, 50823, 70075, 50975, 54884, 51009, 52351, 50975, 52665, 50823, 52719, 50823, 52058, 50823, 55173, 50975, 51947, 51009, 51335, 52179, 50913, 52179, 50420, 55575, 50824, 52695, 50824, 52970, 50824, 51968, 54107, 50913, 51697, 53198, 61389, 50702, 50298, 50975, 54924, 50975, 58564, 50975, 53064, 50975, 52851, 50975, 55870, 50975, 52384, 74662, 52179, 50913, 52179, 50450, 56490, 50975, 53780, 50975, 53152, 50975, 52698, 70045, 51697, 53341, 51297, 50799, 53370, 50823, 56833, 50975, 52820, 50975, 51946, 50823, 51963, 50823, 51866, 50823, 53266, 74662, 52179, 50913, 52179, 50420, 53818, 50975, 52196, 50975, 51913, 50975, 52148, 59216, 50913, 75506, 53949, 50975, 52032, 50975, 51906, 50975, 52178, 50975, 53198, 61389, 70075, 50975, 52351, 50975, 55173, 74662, 52179, 50913, 52179, 50444, 53370, 50823, 51946, 50823, 51963, 50823, 51866, 53798, 56490, 50823, 53780, 50823, 53152, 50823, 52698, 57343, 51697, 50456, 53370, 50823, 51946, 50823, 51963, 50823, 51866, 50823, 53341, 51297, 50799, 53818, 50823, 58714, 50823, 56833, 51407, 58943, 51407, 55662, 50975, 52820, 50975, 52196, 50823, 56065, 50823, 51913, 50823, 52002, 50823, 52148, 50823, 55235, 50823, 53266, 51407, 52701, 51407, 51335, 52179, 50913, 52179, 50420, 55321, 50823, 59642, 50823, 52541, 50823 ]

[ 0, 250, 5679, 26709, 3495, 2214, 4246, 21979, 8669, 6, 30587, 8669, 6, 13602, 6757, 6, 18558, 6, 8, 2724, 368, 31365, 25999, 6, 2351, 10, 15352, 30054, 8, 19448, 5466, 19, 17878, 9, 15073, 8, 657, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 10, 1769, 20889, 9, 17445, 13410, 228, 2289, 6, 19, 5, 33215, 16739, 9, 272, 119, 8, 230, 119, 19983, 1328, 5, 2214, 18, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 50796, 50461, 51338, 56300, 52892, 52919, 50799, 50675, 50280, 57676, 50979, 51199, 68205, 77557, 51332, 55068, 50885, 51148, 50856, 56082, 50438, 79372, 50979, 51242, 50909, 76015, 64583, 50455, 62486, 78351, 69196, 52478, 78774, 50847, 57093, 50845, 50424, 52451, 65262, 51109, 50425, 53603, 50995, 50436, 50979, 51111, 50847, 62641, 51013, 50437, 52451, 50915, 50447, 50885, 61495, 52892, 62211, 54276, 54432, 51055, 51137, 51013, 50455, 50856, 63357, 53845, 54153, 51164, 51077, 50872, 50889, 50992, 50889, 77289, 50461, 58397, 51472, 50856, 58690, 52894, 50918, 52592, 52919, 50437, 50992, 51162, 79723, 80142, 50449, 53271, 50893, 51526, 51554, 50297, 51134, 50455, 51725, 50800, 51416, 50808, 50992, 55029, 50854, 50909, 66879, 51725, 51227, 51416, 51290, 52478, 50909, 50967, 50872, 51177, 50992, 51178, 50425, 52562, 50924, 52585, 50924, 54096, 51047, 51164, 50807, 50430, 52584, 70328, 51504, 65582, 51504, 51013, 52584, 67949, 51111, 50992, 51095, 50909, 50967, 50448, 50856, 61841, 51526, 50865, 52796, 51480, 51164, 56060, 53271, 50879, 50454, 50856, 59310, 51725, 50800, 51416, 50910, 60428, 70948, 50872, 51128, 50460, 50856, 55198, 50461, 51725, 54527, 51416, 54454, 61983, 50909, 51312, 51332, 54834, 50799, 54575, 51047, 52796, 59948, 52592, 50904, 50847, 51346, 50979, 51100, 50909, 69203, 52796, 51244, 50449, 70386, 50456, 66603, 50979, 50833, 80243, 50799, 52592, 51662, 50419, 50847, 60429, 50942, 50909, 50805, 50425, 53271, 73945, 58193, 51526, 50889, 50431, 53271, 79271, 51725, 51013, 51416, 50889, 75468, 74805, 78957, 50448, 51137, 50914, 60180, 50449, 54432, 50889, 53603, 50932, 50856, 59464, 50872, 54336, 64333, 51132, 54527, 78550, 50992, 51191, 51164, 51452, 50909, 51091, 53845, 55428, 50461, 58397, 54454, 50856, 51585, 50799, 52592, 52140, 50437, 50872, 53753, 50992, 53651, 50909, 53363, 50450, 53603, 51333, 50461, 52592, 52168, 51206, 52827, 55746, 58397, 50812, 51132, 58812, 51132, 51628, 58397, 50942, 50437, 51137, 68392, 54432, 51227, 50449, 72187, 51157, 51533, 51073, 50461, 56676, 57771, 53205, 52720, 58899, 55392, 73756, 76895, 51652, 51661, 50799, 50675, 50280, 52903, 51338, 51077, 52892, 54373, 51332, 53295, 50885, 51314, 50847, 55530, 51274, 50415, 55561, 69103, 50437, 51652, 74532, 76322, 50979, 51412, 50909, 51267, 50439, 50804, 51354, 50449, 51338, 51945, 50450, 50885, 51419, 69111, 60428, 50847, 60296, 54438, 51472, 50461, 51652, 51013, 53069, 70983, 78242, 50909, 51363, 50425, 52770, 54243, 50885, 57173, 50979, 65219, 50979, 50812, 51831, 51362, 50438, 74867, 50909, 51400, 50804, 51735, 50449, 50885, 52800, 51338, 51048, 51652, 67570, 50967, 50455, 58180, 50461, 51132, 51977, 73360, 76795, 68457, 51164, 51703, 51721, 51013, 50799, 55463, 55597, 53952, 57771, 59860, 52826, 57533, 58728, 61153, 50837, 53845, 55482, 50798, 51274, 50425, 52185, 51264, 50437, 79275, 50992, 51109, 50909, 67043, 51460, 50448, 58471, 50449, 51164, 50981, 50454, 50909, 63585, 75404, 50872, 53948, 51285, 52478, 66058, 50992, 51194, 50909, 51095, 50423, 51831, 51013, 50424, 51164, 51221, 50429, 50872, 53720, 52185, 50896, 50436, 66058, 50992, 51101, 50909, 69587, 50804, 51427, 50447, 51831, 51013, 50448, 51164, 53639, 51132, 72330, 50938, 50454, 50979, 56573, 50885, 51244, 52185, 50896, 50460, 51332, 55277, 76895, 68205, 50909, 51097, 50461, 51338, 54089, 56676, 73728, 53205, 52204, 50799, 55561, 73728, 58899, 56235, 50798, 51090, 50424, 51652, 51696, 50436, 79372, 50909, 51255, 50437, 50979, 55284, 51354, 50449, 50885, 56203, 70329, 67984, 55806, 57742, 53462, 51285, 52478, 77938, 50847, 50892, 50419, 50909, 50838, 50424, 52832, 50940, 50425, 50885, 50905, 50430, 52832, 70328, 50979, 65598, 52832, 51160, 50437, 50979, 57262, 51177, 72579, 50439, 50804, 51932, 50448, 52832, 51227, 50449, 51338, 51073, 61161, 50451, 50798, 50952, 50455, 56992, 50461, 51132, 54527, 51164, 51047, 53845, 55428, 50872, 51419, 50992, 51134, 50909, 51351, 51652, 51016, 50799, 52892, 50359, 50413, 50798, 51030, 50415, 55463, 61164, 59860, 58962, 53952, 59828, 57533, 56004, 50431, 51831, 50865, 50437, 50992, 51380, 50909, 51116, 50872, 51337, 52770, 50924, 53550, 70953, 51831, 51167, 50449, 51164, 51043, 57613, 57924, 52832, 51055, 50455, 50992, 53176, 55904, 60428, 50457, 50798, 51358, 53069, 68064, 50992, 51277, 50909, 50892, 52770, 51933, 50426, 51164, 51255, 50431, 50872, 54728, 64339, 50909, 53543, 51013, 50449, 51132, 51055, 51164, 52989, 50798, 50938, 50455, 50979, 63849, 56676, 57598, 50461, 51338, 52045, 77433, 56235, 58899, 58728, 53205, 52829, 51332, 55428, 76080, 60154, 50909, 60798, 51314, 51652, 51285, 51528, 50896, 50437, 67591, 50909, 51312, 51652, 72328, 50979, 60344, 51354, 50449, 50798, 57006, 50885, 51884, 50456, 50979, 50971, 57742, 50847, 53983, 51472, 50461, 51652, 51235, 53069, 50847, 58451, 51212, 50420, 50979, 76991, 50885, 51233, 52770, 77684, 50979, 66186, 58966, 65420, 51831, 51290, 53550, 51427, 50449, 50885, 50862, 51652, 72330, 58138, 51338, 51055, 50455, 60173, 50461, 51132, 54300, 55463, 54373, 53845, 55408, 69427, 75998, 51164, 51397, 77557, 51721, 58571, 51055, 50799, 59860, 58962, 53952, 57598, 57533, 58728, 50425, 52185, 51175, 50436, 50992, 51253, 52185, 52382, 50437, 50909, 51048, 50872, 53264, 50804, 51379, 50449, 51164, 57787, 64998, 50909, 63335, 56401, 50992, 53176, 50798, 50918, 53069, 55904, 50992, 51043, 50909, 51194, 50425, 51164, 51056, 50430, 55904, 50437, 63588, 50992, 51109, 50909, 51048, 53550, 50980, 50449, 51132, 51073, 51164, 50955, 51831, 59387, 75087, 60173, 50460, 51338, 56736, 50461, 75468, 50909, 51158, 51332, 55068, 52185, 70234, 50980, 50799, 58899, 55174, 56676, 57820, 53205, 52720, 50415, 77433, 55392, 50425, 51652, 51345, 50437, 72034, 66276, 50909, 51025, 51652, 54527, 53550, 51158, 50449, 74710, 50885, 59781, 67984, 56031, 50847, 53835, 51285, 53069, 72812, 50847, 56990, 53770, 50885, 51212, 50431, 50979, 70142, 58324, 60395, 53550, 51160, 50448, 52832, 51016, 50449, 50885, 54004, 51338, 53769, 79930, 59865, 50461, 53952, 59828, 53845, 55277, 51164, 51148, 76795, 50909, 51109, 50872, 51423, 51652, 51226, 52894, 54300, 59860, 61164, 57533, 65527, 52892, 68086, 55463, 63712, 50798, 51343, 50431, 51831, 50924, 50437, 50992, 51480, 61523, 50909, 51255, 50438, 52770, 50948, 50439, 50804, 52692, 51831, 67424, 51164, 59486, 58740, 52832, 57024, 55904, 64630, 50909, 53948, 51196, 53069, 59865, 50992, 51481, 50420, 50909, 50892, 52770, 52392, 50426, 51164, 51346, 50431, 59228, 50437, 59458, 50992, 51121, 50909, 79610, 50804, 51192, 50449, 51164, 56060, 51132, 51346, 57533, 63054, 75331, 51338, 51896, 51332, 53295, 65099, 51196, 50799, 56676, 50364, 50412, 58899, 73728, 53205, 52204, 52892, 71620, 50885, 51244, 77938, 79605, 50909, 68361, 51274, 51206, 52369, 50415, 77433, 50363, 50412, 50437, 61264, 51551, 50438, 50847, 51411, 75419, 50909, 51400, 50439, 50804, 50806, 50449, 51338, 50918, 50451, 50885, 71732, 62516, 66664, 74035, 50847, 53948, 51472, 50461, 71567, 51196, 55753, 57230, 67984, 50909, 68751, 50885, 64669, 50979, 64147, 73303, 50979, 55003, 50909, 64210, 51167, 50439, 50729, 50314, 51274, 50449, 50885, 53197, 57415, 51338, 65847, 60774, 50461, 52892, 54270, 59860, 55392, 55463, 53201 ]

[ 0, 250, 15352, 30054, 8, 20425, 5175, 3495, 2214, 4246, 1337, 3505, 9, 23674, 366, 6, 217, 11006, 4122, 12, 1054, 330, 8, 3459, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 163, 5683, 4, 20, 33215, 16739, 9, 12608, 6, 163, 428, 6, 8, 274, 406, 3639, 7, 63, 20902, 8, 17627, 17274, 5466, 6, 442, 24, 10, 1969, 2564, 13, 10, 822, 19834, 50, 10, 657, 527, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50444, 50906, 51538, 51099, 51538, 52647, 53090, 58153, 50889, 50457, 57672, 78123, 58153, 50910, 52177, 58153, 56382, 57672, 62815, 50876, 51538, 51512, 51538, 58153, 50889, 50443, 57672, 69352, 58153, 50910, 50452, 58153, 50938, 50460, 57672, 50910, 52177, 50906, 53090, 51099, 51538, 52647, 51538, 58153, 63455, 57672, 58877, 58153, 57581, 58153, 69352, 57672, 50910, 50451, 51512, 51623, 52114, 51538, 57672, 50910, 50455, 57672, 50889, 52591, 57672, 50910, 50424, 57672, 50910, 50429, 57672, 75407, 51512, 51116, 50437, 67944, 57672, 50910, 50441, 67944, 51099, 50910, 58153, 51141, 76495, 51116, 51099, 51116, 50454, 50906, 50889, 72648, 50459, 57672, 51141, 53069, 71091, 51494, 68018, 67594, 79772, 50428, 50906, 51077, 51099, 51077, 58153, 51141, 50436, 52647, 50910, 50441, 52003, 50910, 50445, 53643, 51141, 57672, 51116, 50453, 67944, 51099, 50910, 58153, 51116, 50458, 50906, 50938, 51099, 50938, 54960, 50910, 51512, 51077, 52647, 51077, 64167, 51141, 50418, 51001, 51446, 50431, 58153, 51116, 50440, 50876, 50938, 51512, 51116, 52647, 51116, 64167, 70595, 72926, 50448, 50906, 51446, 58153, 51141, 50457, 51099, 51141, 52647, 51141, 52177, 58153, 51116, 50422, 50906, 56412, 72926, 51308, 51116, 51771, 51116, 57672, 51116, 50430, 50931, 65470, 50951, 51116, 51639, 51116, 52158, 51116, 58153, 51141, 50443, 50951, 51141, 51639, 51141, 52158, 51141, 50452, 57672, 51141, 50460, 69697, 51275, 50910, 52177, 71049, 51639, 50910, 50421, 51147, 50889, 58153, 51141, 50429, 51639, 51116, 52158, 51116, 50434, 50951, 57581, 50931, 50889, 57672, 51141, 50447, 51308, 51116, 51771, 51116, 50451, 72926, 50455, 71774, 51512, 51446, 51890, 51446, 55497, 51141, 50459, 50931, 51141, 60212, 57672, 51141, 50429, 71774, 51308, 75407, 67594, 51512, 79178, 67944, 51099, 50910, 50441, 50965, 51141, 51144, 51141, 55497, 64482, 55497, 57415, 57672, 51116, 50459, 51001, 51116, 51153, 51116, 52609, 51116, 55497, 51116, 53069, 50951, 51116, 51275, 51116, 52609, 51116, 57672, 51116, 50428, 51081, 51116, 58153, 51141, 50436, 69955, 51516, 51116, 52158, 51116, 50441, 51081, 50889, 50445, 58153, 51141, 50453, 71049, 51639, 50910, 52158, 62990, 50951, 50938, 62856, 51116, 51777, 51141, 52158, 51141, 58153, 51141, 50423, 50951, 51116, 50431, 50931, 51116, 51777, 51141, 51771, 51141, 55497, 51116, 50440, 51001, 51116, 55479, 51116, 50448, 57600, 51141, 50457, 72926, 51153, 50910, 52609, 78123, 72926, 51153, 50910, 52609, 50910, 52177, 50902, 50889, 52158, 51116, 64167, 74978, 51429, 51116, 50430, 51001, 65470, 50931, 51116, 51153, 51141, 52609, 51141, 57600, 51141, 50443, 51001, 51116, 50452, 50902, 51116, 51308, 51116, 51890, 51116, 55479, 51116, 50460, 67594, 51512, 51116, 52647, 51116, 55497, 51116, 52177, 67594, 50421, 50906, 50889, 58153, 51141, 50429, 51099, 51116, 52647, 51116, 50434, 50906, 57581, 51001, 50889, 58153, 51141, 50447, 51308, 51116, 51771, 51116, 50451, 72926, 50455, 50931, 51116, 51275, 51116, 52609, 51116, 64167, 51141, 51809, 50931, 51116, 51275, 51116, 52609, 51116, 50424, 51001, 51116, 51153, 51116, 52609, 51116, 55497, 51116, 50433, 50902, 51116, 51308, 51116, 52609, 51116, 64167, 51116, 50441, 51001, 51141, 58153, 64712, 51308, 51116, 51771, 51116, 50459, 67594, 51512, 51141, 60513, 51141, 51601, 51001, 77950, 67594, 50428, 50906, 51141, 51099, 51141, 58153, 56632, 58153, 50910, 50436, 64167, 51116, 50445, 51001, 51116, 51153, 51116, 52609, 51116, 55497, 51116, 50453, 50951, 51116, 51275, 51116, 52609, 51116, 60513, 51116, 60820, 51141, 58153, 51141, 50423, 51639, 51116, 52158, 51116, 50431, 51081, 50889, 58153, 51141, 50440, 51639, 50938, 52158, 60492, 72926, 50448, 51147, 51116, 51777, 51077, 52158, 51077, 58153, 51141, 50457, 50951, 51141, 52177, 55497, 69745, 71049, 51777, 51116, 52158, 51116, 55479, 51116, 50430, 50931, 65470, 50931, 51116, 51153, 51077, 52609, 51077, 57600, 51141, 50443, 51001, 51141, 50452, 58153, 51141, 50460, 71774, 51429, 50910, 52177, 72926, 51153, 50910, 50421, 50931, 51116, 51153, 51116, 52609, 51116, 64167, 51141, 50429, 51001, 51141, 51153, 51141, 52609, 68499, 58153, 51116, 50447, 77195, 51512, 51116, 52647, 51116, 55497, 51116, 50455, 50906, 50889, 58153, 51141, 51809, 51099, 51116, 52647, 51116, 62143, 50910, 50424, 51001, 50889, 58153, 51141, 50433, 51308, 51116, 51771, 51116, 50437, 72926, 50441, 50931, 51116, 51275, 51116, 52609, 51116, 57672, 64712, 50931, 51116, 51275, 51116, 52609, 51116, 50459, 51001, 51116, 51153, 51116, 52609, 51116, 55497, 51116, 53069, 50902, 51116, 51308, 51116, 52609, 51116, 57672, 51116, 50428, 51001, 51141, 58153, 51141, 50436, 51308, 51116, 51771, 51116, 50445, 67944, 51099, 50910, 57672, 51141, 50449, 67594, 51512, 79179, 67944, 51099, 62990, 50861, 50938, 51561, 50938, 57190, 50910, 73647, 55497, 51141, 50418, 67944, 51099, 68018, 50965, 50910, 73647, 50427, 66088, 51561, 50910, 50431, 50871, 72687, 50889, 57672, 65470, 54999, 50910, 50440, 55497, 70595, 67944, 50448, 67944, 51099, 50910, 58153, 51141, 50453, 50906, 51116, 51099, 51116, 50461, 50906, 50889, 72648, 52177, 57672, 51141, 56207, 50910, 51494, 62815, 67594, 51512, 65470, 50906, 51077, 51099, 51077, 58153, 51141, 50443, 52647, 69352, 52003, 50910, 50452, 53643, 51141, 57672, 51116, 50460, 67944, 51099, 50910, 58153, 51116, 52177, 67944, 51099, 50910, 50421, 67594, 51512, 51077, 52647, 51077, 64167, 51141, 50425, 51001, 51446, 50438, 58153, 51116, 50447, 67594, 51512, 51116, 52647, 51116, 64167, 51116, 50451, 72926, 50455, 50906, 51446, 58153, 51141, 51809, 51099, 51141, 52647, 51141, 50424, 58153, 51116, 50429, 67944, 50433, 72926, 51308, 51116, 51771, 51116, 57672, 51116, 50437, 69697, 50441, 50951, 51116, 51639, 51116, 52158, 51116, 58153, 64712, 50951, 51141, 51639, 51141, 52158, 51141, 50459, 57672, 51141, 53069, 69697, 51275, 68018, 71049, 51639, 50910, 50428, 51147, 50889, 58153, 51141, 50436, 51639, 51116, 52158, 51116, 50441, 71049, 50445, 50931, 50889, 57672, 51141, 50453, 51308, 51116, 51771, 51116, 50458, 51001, 50938, 55331, 50910, 51512, 51446, 51890, 51446, 55497, 51141, 50418, 50931, 51141, 50431, 57672, 51141, 50435, 71774, 51308, 50910, 50440, 50876, 50938, 51512, 60492, 67944, 51099, 50910, 50448, 50965, 51141, 51144, 51141, 55497, 79179, 55497, 78767, 57672, 51116, 52177, 51001, 51116, 51153, 51116, 52609, 51116, 55497, 69745, 50951, 51116, 51275, 51116, 52609, 51116, 57672, 51116, 50435, 51081, 51116, 58153, 51141, 50443, 69955, 51516, 51116, 52158, 51116, 50447, 51081, 50889, 50452, 58153, 51141, 50460, 71049, 51639, 50910, 52158, 50910, 52177, 71049, 50421, 51147, 51116, 51777, 51141, 52158, 51141, 58153, 51141, 76133, 69705, 50931, 51116, 51777, 51141, 51771, 51141, 55497, 51116, 50447, 51001, 51116, 55479, 51116, 50455, 57600, 51141, 51809, 51001, 50938, 51153, 50938, 52609, 61555, 72926, 51153, 50910, 52609, 50910, 50424, 50902, 50889, 52158, 51116, 64167, 51141, 50433, 51429, 51116, 50437, 72926, 50441, 50931, 51116, 51153, 51141, 52609, 51141, 57600, 64712, 51001, 51116, 50459, 50902, 51116, 51308, 51116, 51890, 51116, 55479, 51116, 53069, 67594, 51512, 51116, 52647, 51116, 55497, 77950, 67594, 50428, 50906, 50889, 58153, 51141, 50436, 51099, 51116, 52647, 51116, 50441, 67944, 50445 ]

[ 0, 713, 33928, 5175, 2214, 11, 163, 428, 3694, 1575, 10, 23338, 33518, 1264, 816, 5, 33301, 6, 7513, 30, 21979, 8669, 6, 3459, 9590, 6, 21072, 6, 8, 10, 20535, 2810, 4, 590, 10, 86, 6543, 9, 132, 73, 306, 8, 41, 12447, 1001, 20889, 9, 13950, 741, 1685, 6, 5, 2125, 11498, 10, 20902, 2877, 1328, 4, 20, 46336, 3184, 29769, 198, 5, 5705, 16331, 33215, 16739, 9, 274, 73, 347, 8, 163, 43531, 6, 2351, 10, 3366, 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 ]

[ 51057, 50632, 51057, 50903, 50836, 51768, 50812, 51057, 50903, 50836, 51768, 50836, 51057, 53602, 56949, 55344, 54853, 59240, 50816, 55180, 50816, 55150, 55946, 53602, 51124, 50816, 66927, 56136, 50840, 51694, 56530, 57050, 50816, 66649, 54334, 54577, 50917, 51068, 55459, 57549, 52793, 64677, 54606, 50816, 67195, 52079, 76944, 50839, 51057, 53602, 58162, 55364, 53099, 54023, 50607, 50381, 53967, 56675, 50910, 62999, 60689, 53104, 50607, 53223, 50816, 55150, 55946, 53602, 51110, 51068, 63658, 62073, 57772, 76944, 50820, 51694, 62468, 54853, 57050, 50816, 54215, 54577, 54792, 58534, 53963, 56000, 50816, 55692, 50840, 51057, 53602, 56949, 55344, 79732, 59991, 50816, 55180, 50816, 55150, 55946, 53602, 71270, 66927, 70393, 50840, 51694, 56530, 57050, 50816, 66649, 65957, 52818, 54577, 72819, 57549, 52793, 64677, 53908, 50816, 67195, 52079, 76944, 50841, 51057, 53602, 58162, 55364, 55473, 54023, 50607, 50381, 53967, 56675, 50938, 62999, 60689, 73763, 52761, 50816, 55150, 55946, 50816, 62073, 57772, 50840, 51694, 62468, 54853, 57050, 50816, 54215, 50816, 58534, 58515, 56000, 50816, 55692, 50840, 61245, 61718, 76825, 66137, 55081, 50816, 50890, 51190, 51985, 50383, 54502, 50840, 51694, 51156, 76825, 50383, 52439, 56338, 50816, 50836, 51230, 53183, 77266, 55782, 50816, 50880, 51715, 51985, 50383, 52439, 50840, 51057, 61718, 50378, 53183, 66137, 58093, 50816, 50840, 51715, 53183, 50380, 54502, 55081, 70683, 51718, 53183, 50383, 54502, 50840, 51694, 51156, 76825, 66137, 56338, 50816, 51421, 63930, 77266, 55782, 70683, 51718, 53183, 50957, 50596, 50840, 51057, 61718, 50378, 53183, 66137, 54275, 52970, 50859, 52099, 50859, 52608, 52296, 51906, 50887, 52366, 50887, 52436, 54056, 51906, 50884, 52366, 50887, 52436, 52209, 51906, 50887, 52366, 50887, 52436, 50809, 51057, 51096, 51160, 51906, 50859, 52366, 50859, 71229, 53602, 50878, 51037, 59709, 62121, 60035, 56411, 50879, 51206, 56128, 50948, 51070, 65926, 52489, 50887, 52747, 50887, 52656, 57503, 53405, 50872, 64357, 77357, 57488, 53745, 50608, 60387, 50864, 69971, 50927, 51160, 53602, 51203, 50872, 64357, 77357, 57802, 50383, 56497, 50840, 51715, 51398, 52872, 52489, 50887, 52747, 50887, 52656, 73736, 63430, 63553, 61320, 56411, 57321, 51156, 61960, 57233, 68762, 52489, 50887, 52747, 50887, 52656, 57503, 55286, 50945, 51685, 54577, 50866, 50872, 64558, 77357, 52180, 50608, 55064, 61103, 50940, 51070, 55643, 50872, 56808, 77357, 52180, 50608, 60387, 50971, 51057, 53602, 50866, 51037, 59709, 62121, 52589, 70888, 50897, 51170, 57233, 76705, 52719, 50887, 51648, 50887, 51978, 57503, 53405, 50872, 64558, 77357, 57488, 51276, 50608, 60387, 50864, 69971, 52310, 50887, 53170, 50887, 53319, 50809, 53602, 51043, 50872, 64357, 77357, 52180, 50608, 50840, 51715, 51657, 57462, 52872, 51037, 63430, 62121, 52589, 79871, 57193, 50910, 51170, 57462, 57328, 57050, 52310, 50884, 53170, 50884, 53319, 53589, 53544, 55286, 52310, 50887, 53170, 50887, 53319, 50809, 54577, 55808, 64558, 77357, 52180, 50608, 55064, 61103, 55237, 55643, 50872, 64357, 77357, 52180, 50608, 60387, 50971, 51057, 51105, 50980, 52310, 50859, 53170, 50859, 53319, 50800, 53602, 50878, 51506, 50821, 51037, 68413, 60035, 59083, 50879, 51170, 70136, 65926, 51906, 50887, 52366, 50887, 52436, 57503, 53405, 50944, 64558, 50821, 51298, 57488, 78413, 60387, 54220, 56133, 51213, 50980, 53602, 51043, 50944, 64558, 50821, 51298, 57802, 50384, 56497, 50840, 51715, 51398, 52872, 51906, 50887, 52366, 50887, 52436, 50809, 51506, 50821, 51037, 68413, 60035, 57277, 57321, 51156, 61960, 57233, 68762, 51906, 50859, 52366, 50859, 52436, 57503, 55286, 51186, 51685, 54577, 73906, 64558, 50821, 51298, 52180, 50608, 55064, 61103, 50940, 51070, 55643, 50944, 64357, 50821, 51298, 53745, 50608, 60387, 50971, 51057, 53602, 50866, 51506, 50821, 51037, 71084, 52589, 70888, 50910, 51170, 50940, 51070, 76705, 52970, 50887, 52099, 50887, 52608, 57503, 53405, 50944, 64558, 50821, 51298, 57488, 50383, 56497, 60387, 54220, 56133, 51906, 50887, 52366, 50887, 52436, 60590, 64558, 50821, 51298, 53745, 50608, 50840, 51715, 51657, 57503, 52872, 51506, 50821, 51037, 68413, 52589, 57321, 51156, 68047, 50910, 51070, 68762, 51906, 50884, 52366, 50884, 52436, 53589, 57462, 55286, 51906, 50887, 52366, 50887, 52436, 60590, 64558, 50821, 51298, 52180, 50608, 55064, 61103, 57462, 55643, 50944, 64558, 50821, 51298, 58931, 52476, 50608, 60387, 50971, 51057, 51096, 51160, 51906, 50859, 52366, 50859, 71229, 53602, 50878, 51037, 59709, 62121, 60035, 56411, 50879, 51206, 56128, 50948, 51070, 65926, 52489, 50887, 52747, 50887, 52656, 57503, 53405, 50872, 64357, 77357, 57488, 53745, 50608, 60387, 50864, 69971, 50927, 51160, 53602, 51203, 50872, 64357, 77357, 57802, 50383, 56497, 50840, 51715, 51398, 52872, 52489, 50887, 52747, 50887, 52656, 73736, 63430, 63553, 61320, 56411, 57321, 51156, 61960, 57233, 68762, 52489, 50887, 52747, 50887, 52656, 57503, 55286, 50945, 51685, 54577, 50866, 50872, 64558, 77357, 52180, 50608, 55064, 61103, 50940, 51070, 55643, 50872, 56808, 77357, 52180, 50608, 60387, 50971, 51057, 53602, 50866, 51037, 59709, 62121, 52589, 70888, 50897, 51170, 57233, 76705, 52719, 50887, 51648, 50887, 51978, 57503, 53405, 50872, 64558, 77357, 57488, 51276, 50608, 60387, 50864, 69971, 51906, 50887, 52366, 50887, 53319, 50809, 53602, 51043, 50872, 64357, 77357, 52180, 50608, 50840, 51715, 51657, 57462, 52872, 51037, 63430, 62121, 52589, 79871, 57193, 50910, 51170, 57462, 57328, 57050, 51906, 50884, 52366, 50884, 53319, 53589, 53544, 55286, 52489, 50887, 52747, 50887, 53319, 50809, 54577, 55808, 64558, 77357, 52180, 50608, 55064, 61103, 55237, 55643, 50872, 64357, 77357, 52180, 50608, 60387, 50971, 51057, 51105, 50980, 52310, 50859, 53170, 50859, 53319, 50800, 53602, 50878, 51506, 50821, 51037, 68413, 60035, 59083, 50879, 51170, 70136, 65926, 51906, 50887, 52366, 50887, 52436, 57503, 53405, 50944, 64558, 50821, 51298, 57488, 78413, 60387, 54220, 56133, 51213, 50980, 53602, 51043, 50944, 64558, 50821, 51298, 57802, 50384, 56497, 50840, 51715, 51398, 52872, 51906, 50887, 52366, 50887, 52436, 50809, 51506, 50821, 51037, 68413, 60035, 57277, 57321, 51156, 61960, 57233, 68762, 51906, 50859, 52366, 50859, 52436, 57503, 55286, 51186, 51685, 54577, 73906, 64558, 50821, 51298, 52180, 50608, 55064, 61103, 50940, 51070, 55643, 50944, 64357, 50821, 51298, 53745, 50608, 60387, 50971, 51057, 53602, 50866, 51506, 50821, 51037, 71084, 52589, 70888, 50910, 51170, 50940, 51070, 76705, 52970, 50887, 52099, 50887, 52608, 57503, 53405, 50944, 64558, 50821, 51298, 57488, 50383, 56497, 60387, 54220, 56133, 51906, 50887, 52366, 50887, 52436, 60590, 64558, 50821, 51298, 53745, 50608, 50840, 51715, 51657, 57503, 52872, 51506, 50821, 51037, 68413, 52589, 57321, 51156, 68047, 50910, 51070, 68762, 51906, 50884, 52366, 50884, 52436, 53589, 57462, 55286, 51906, 50887, 52366, 50887, 52436, 60590, 64558, 50821, 51298, 52180, 50608, 55064, 61103, 57462, 55643, 50944, 64558, 50821, 51298, 58931, 52476, 50608, 60387, 50971, 51057, 51096, 51160, 51906, 50859, 52366, 50859, 71229, 53602, 50878, 51037, 59709, 62121, 60035, 56411, 50879, 51206, 56128, 50948, 51070, 65926, 52489, 50887, 52747, 50887, 52656, 57503, 53405, 50872, 64357 ]

[ 0, 250, 2635, 12, 20764, 3152, 2214, 19, 5175, 4785, 6, 4246, 21979, 8, 30587, 29589, 6, 3459, 9590, 6, 486, 118, 9877, 483, 6, 8, 21072, 4, 20, 2125, 16, 11, 230, 538, 8, 204, 73, 306, 86, 6, 19, 10, 33215, 16739, 9, 211, 6, 272, 6, 230, 6, 211, 6, 8, 272, 4, 20, 1349, 7630, 6568, 10, 11739, 9, 15352, 30054, 6, 5679, 26709, 6, 8, 2933, 6711, 29, 6, 19, 17878, 9, 9066, 8, 1372, 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 ]

[ 57128, 50885, 65376, 67381, 72803, 63456, 57783, 57373, 60392, 50909, 50813, 50988, 53910, 50885, 57373, 65145, 50909, 50813, 50988, 52524, 50885, 65376, 50849, 52869, 56919, 72803, 63456, 50429, 52869, 51628, 50885, 57373, 50810, 52869, 57659, 50909, 50813, 50988, 54350, 50885, 57373, 50810, 52869, 58480, 50909, 50813, 50988, 52781, 50885, 65376, 50849, 52869, 61298, 72803, 63456, 58463, 57373, 60073, 50909, 50813, 50988, 54417, 50885, 57373, 62924, 50909, 50813, 50988, 52800, 50885, 65376, 50849, 53048, 60720, 72803, 50909, 57431, 50885, 55077, 50845, 53698, 61393, 60395, 50988, 61219, 50885, 55077, 50845, 50460, 60395, 66738, 59008, 60884, 67381, 67759, 50872, 61195, 51164, 70879, 60392, 50885, 58929, 53910, 51164, 70879, 65145, 50885, 58929, 52524, 51164, 60884, 50849, 53428, 56919, 67759, 50872, 69353, 52869, 51628, 51164, 70879, 50810, 53428, 57659, 50885, 58929, 54350, 51164, 70879, 50810, 52869, 58480, 50885, 58929, 52781, 50946, 50849, 53428, 61298, 67759, 50872, 59187, 50946, 60073, 50885, 58929, 54417, 50946, 62924, 50885, 58929, 52800, 50946, 50849, 53050, 60720, 67759, 50872, 57431, 50946, 50810, 53428, 61393, 50885, 58929, 54655, 50946, 63849, 50885, 58929, 50813, 57746, 56611, 67381, 58966, 50935, 61195, 50988, 55582, 60392, 50847, 58975, 53910, 50988, 55582, 65145, 50847, 58975, 52524, 50988, 56611, 50849, 52869, 56919, 58966, 68352, 50429, 52869, 51628, 50988, 55582, 50810, 52869, 57659, 50847, 58975, 54350, 50988, 55582, 50810, 52869, 58480, 50847, 58975, 52781, 50988, 56611, 50849, 52869, 55900, 58966, 68352, 50441, 52869, 51820, 50988, 55582, 50810, 52869, 59070, 50847, 58975, 54417, 50988, 55582, 50810, 52869, 60972, 50847, 58975, 52800, 50988, 56611, 50849, 53428, 57465, 58966, 68352, 50453, 52869, 51754, 50988, 55582, 50810, 52869, 61393, 50847, 58975, 54655, 50988, 55582, 63849, 50847, 58975, 50813, 59560, 65376, 50849, 52869, 62192, 72803, 63456, 57783, 57373, 50810, 53698, 50807, 50421, 50909, 50813, 50988, 53910, 50885, 57373, 65145, 50909, 50813, 50988, 52524, 50885, 65376, 69012, 72803, 50909, 56504, 50885, 57373, 58645, 50909, 50813, 50988, 54350, 50885, 57373, 62903, 50909, 50813, 50988, 52781, 69089, 50848, 56001, 51021, 51206, 51014, 51720, 50818, 52018, 50807, 62460, 51075, 61298, 68272, 50935, 75355, 69089, 50848, 56001, 50923, 51206, 51021, 51720, 50818, 52018, 50807, 62460, 61900, 50451, 68272, 50935, 51159, 57746, 57680, 50807, 52055, 52054, 50962, 51133, 50983, 51386, 51605, 51063, 51605, 50415, 79493, 50909, 51048, 52399, 58861, 52869, 52422, 50885, 51203, 50988, 51203, 52869, 52997, 57228, 75241, 67477, 71980, 50429, 52869, 52686, 52869, 55307, 58952, 50988, 57708, 50810, 52869, 52589, 50962, 51133, 59079, 50868, 57511, 52781, 50988, 56566, 50845, 52869, 50896, 64214, 50845, 51133, 55900, 70987, 50909, 55040, 50988, 56566, 50845, 64214, 50845, 58531, 50445, 70987, 50909, 54356, 50988, 56566, 50845, 53048, 52420, 57228, 50845, 51271, 60720, 70987, 50909, 54752, 50988, 56566, 50845, 53698, 50806, 73791, 50845, 51817, 50795, 62948, 50457, 70987, 60395, 57377, 57680, 50807, 64214, 50845, 51720, 50983, 51222, 51605, 51143, 51605, 76750, 51048, 52399, 58861, 53428, 52422, 50946, 51203, 50885, 51203, 53428, 52997, 62864, 75241, 79933, 50429, 52869, 52686, 53428, 55307, 58952, 50946, 57708, 50810, 52869, 52589, 50949, 51720, 59079, 50872, 52781, 50946, 56566, 50845, 53428, 50896, 64214, 50845, 51720, 55900, 50872, 55040, 50946, 56566, 50845, 73791, 50845, 51720, 50807, 50445, 50872, 54356, 50946, 56566, 50845, 53050, 52420, 57228, 71474, 50872, 54752, 50946, 56566, 50845, 53428, 50806, 73791, 50845, 52018, 50800, 62998, 50457, 50872, 61219, 52657, 50800, 57746, 56378, 50807, 64214, 50813, 52018, 50983, 51063, 51605, 51075, 51605, 65751, 51048, 50935, 51048, 52399, 58861, 52869, 52422, 76323, 50988, 51203, 52869, 52997, 57228, 50845, 65530, 51043, 50935, 51043, 50429, 52869, 52686, 52869, 55307, 58952, 50988, 55582, 50810, 52869, 52090, 50962, 52018, 59079, 50847, 58975, 52781, 67241, 50845, 64214, 50845, 52018, 55900, 57420, 50935, 60844, 52869, 53247, 67241, 50845, 52869, 52589, 57228, 50845, 52018, 59070, 57420, 50935, 59957, 52869, 53153, 67241, 50845, 53428, 52997, 57228, 71474, 57420, 63833, 50453, 52869, 52935, 67241, 50845, 52869, 50806, 73791, 50845, 52018, 50795, 61016, 50457, 57420, 63833, 57746, 57680, 50807, 52869, 50806, 64214, 50845, 51133, 50983, 51063, 51605, 51386, 71718, 79493, 50909, 72929, 53698, 55422, 53172, 50885, 51203, 50988, 68798, 62864, 75241, 67477, 71980, 58932, 58952, 50988, 57708, 53197, 50949, 51133, 59079, 50868, 57511, 52781, 50988, 56566, 50845, 64214, 50845, 77855, 51075, 55900, 70987, 60395, 50441, 51219, 51820, 50988, 56566, 50845, 73791, 50845, 77855, 54873, 50445, 70987, 50909, 54356, 50988, 56566, 50845, 53212, 51163, 50845, 77855, 62460, 50451, 70987, 60395, 50453, 51271, 50800, 51046, 51754, 50988, 56566, 50845, 73791, 50845, 58531, 54266, 50457, 70987, 60395, 57746, 57680, 50807, 52055, 52054, 50962, 51133, 50983, 51386, 51605, 51063, 51605, 50415, 79493, 50909, 51048, 52399, 58861, 52869, 52422, 50885, 51203, 50988, 51203, 52869, 52997, 57228, 75241, 67477, 71980, 50429, 52869, 52309, 50843, 58952, 50988, 57708, 50810, 52869, 52589, 50962, 51133, 59079, 50868, 57511, 52781, 50988, 56566, 50845, 52869, 50806, 64214, 50845, 51133, 55900, 70987, 50909, 55040, 50988, 56566, 50845, 52869, 52589, 57228, 50845, 58531, 50445, 70987, 50909, 59957, 53048, 67424, 50988, 56566, 50845, 53212, 51163, 50845, 51271, 60720, 70987, 50909, 54752, 50988, 56566, 50845, 53698, 50806, 73791, 50845, 51817, 50795, 62948, 50457, 70987, 60395, 57377, 57680, 50807, 64214, 50845, 51720, 50983, 51222, 51605, 51143, 51605, 76750, 51048, 50417, 53428, 53113, 53428, 55307, 58861, 52869, 52422, 50946, 51203, 50885, 51203, 53428, 52997, 62864, 75241, 79933, 50429, 52869, 52686, 53428, 55307, 58952, 50946, 57708, 50810, 52869, 52589, 50949, 51720, 59079, 50872, 52781, 50946, 56566, 50845, 53428, 52589, 57228, 50845, 51720, 55900, 50872, 60844, 53428, 53247, 50946, 56566, 50845, 53428, 52589, 56175, 50845, 51720, 50807, 50445, 50872, 59957, 53050, 67424, 50946, 56566, 50845, 53212, 51163, 71474, 50872, 54752, 50946, 56566, 50845, 53428, 50806, 73791, 50845, 52018, 50800, 62998, 50457, 50872, 61219, 52657, 50800, 57746, 56378, 50807, 64214, 50813, 52018, 50983, 51063, 51605, 51075, 51605, 65751, 51048, 50935, 72929, 52869, 55307, 58861, 52869, 52422, 76323, 50988, 51203, 52869, 52420, 57228, 50845, 65530, 51043, 50935, 64669, 52869, 55307, 58952, 50988, 55582, 50810, 52869, 52589, 50962, 52018, 59079, 50847, 58975, 52781, 67241, 50845, 52869, 52589, 57228, 50845, 52018, 55900, 57420, 50935, 60844, 52869, 53247, 67241, 50845, 52869, 50806, 64214, 50845, 52018, 59070, 57420, 50935, 54356, 67241, 50845, 53428, 52420, 57228, 71474, 57420, 50935, 54752, 67241, 50845, 52869, 52589, 56175, 50845, 52018, 50795, 61016, 50457, 57420, 50935, 61219, 52869, 51160, 57746, 57680, 50807, 64214, 50845, 51133, 50983, 51063, 51605, 51386, 71718, 79493, 50909, 72929, 53698, 55422, 53172, 50885, 51203, 50988, 68798, 62864, 75241, 67477, 71980, 58932, 58952, 50988, 57708, 53197, 50949, 51133, 59079, 50868, 57511 ]

[ 0, 250, 251, 15855, 2125, 14, 115, 28, 341, 25, 10, 19834, 6, 4246, 10, 13305, 7513, 30, 10, 6755, 12547, 9, 21711, 1344, 6, 21711, 281, 6, 8, 3551, 366, 4, 20, 15229, 16, 278, 11, 5, 762, 9, 2060, 538, 19, 10, 2635, 20889, 9, 1812, 13410, 228, 2289, 8, 41, 18186, 112, 73, 306, 86, 6543, 4, 20, 6711, 7630, 6568, 10, 25306, 6, 2933, 6, 8, 9066, 5466, 19, 41, 7482, 3722, 8, 19448, 6328, 4, 20, 46336, 3184, 29769, 198, 5, 33215, 16739, 9, 2060, 6, 163, 428, 406, 6, 8, 12608, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 52552, 50625, 52274, 52274, 52274, 52552, 50965, 50914, 57497, 51101, 50931, 57519, 51176, 51101, 61104, 51101, 50876, 56217, 50871, 53913, 51050, 51101, 51001, 69279, 51176, 65295, 51040, 62034, 50965, 66289, 51100, 59130, 51101, 50876, 50914, 56363, 51101, 56040, 51101, 50906, 56217, 50989, 53913, 51197, 51101, 51114, 51189, 66626, 51101, 62291, 62034, 50989, 61913, 50849, 58439, 51101, 50931, 57519, 51176, 51101, 53523, 51101, 51001, 56217, 50989, 53913, 51503, 51101, 51028, 56157, 51176, 51101, 55895, 51101, 51001, 58705, 50989, 50892, 57497, 51101, 50931, 51486, 66650, 51101, 61104, 51177, 58783, 74387, 50965, 51177, 57428, 64860, 51040, 51121, 51147, 63505, 51176, 50901, 57497, 51121, 51339, 53561, 51176, 51121, 61104, 51121, 51062, 53182, 50871, 55306, 51050, 51100, 51405, 51364, 50444, 51176, 63589, 51040, 61327, 50965, 51458, 50329, 51158, 59130, 51100, 51062, 53561, 50997, 51100, 56040, 51100, 51081, 64919, 50989, 55306, 51026, 51121, 51062, 50983, 51028, 51685, 66626, 64860, 51040, 62174, 51081, 66291, 50901, 54578, 59688, 51936, 50300, 51121, 51040, 51121, 69980, 56645, 51631, 50871, 63681, 54729, 50906, 61907, 51646, 50965, 52297, 50321, 51364, 51503, 51336, 50441, 50624, 50444, 51176, 51060, 50445, 50624, 50448, 50623, 56222, 75050, 51060, 50451, 50622, 50455, 50622, 72407, 52014, 50310, 57367, 59831, 50621, 50461, 50621, 51034, 51040, 51242, 74436, 51360, 51662, 51028, 51662, 50419, 50620, 64401, 51242, 50965, 51242, 50424, 50620, 56759, 51242, 76684, 50429, 50620, 74769, 51242, 50989, 51242, 50434, 50619, 50438, 51176, 64307, 51097, 50439, 50619, 50444, 50619, 50449, 50619, 52552, 50625, 57147, 50807, 78857, 52297, 50293, 50981, 55961, 65785, 53250, 51048, 50965, 68766, 51028, 60465, 53777, 51364, 51050, 59791, 51040, 68465, 50965, 66913, 55343, 72655, 51058, 79705, 52297, 50298, 60115, 50989, 65785, 54414, 72999, 68766, 51001, 60465, 55602, 51364, 51197, 59791, 50989, 51242, 65851, 66913, 53407, 73027, 51058, 78857, 52297, 50300, 60115, 50989, 65785, 53777, 51048, 50965, 51242, 59409, 60465, 55343, 51364, 51503, 59791, 50989, 68465, 50965, 66913, 53777, 61816, 51058, 78857, 51161, 51360, 51939, 55961, 51212, 62144, 68181, 51028, 68535, 50931, 67367, 51028, 65295, 57147, 51048, 50965, 68464, 50871, 51058, 78857, 52297, 50293, 50981, 55961, 65785, 53250, 51048, 50965, 68766, 51028, 60465, 53777, 51364, 51050, 59791, 51040, 68465, 50965, 66913, 55343, 72655, 51058, 79705, 52297, 50298, 60115, 50989, 65785, 54414, 72999, 68766, 51001, 60465, 56853, 51364, 51197, 59791, 50989, 51242, 65851, 66913, 55602, 73027, 51058, 78857, 52297, 50300, 50981, 55961, 65785, 57147, 51048, 50965, 68766, 51028, 60465, 50624, 53407, 51364, 51503, 59791, 50989, 68465, 50624, 50965, 66913, 53777, 54666, 51058, 57528, 55343, 51896, 51360, 51742, 55961, 65785, 50622, 50965, 68766, 50931, 51058, 50437, 50622, 57019, 71277, 74299, 50621, 50450, 53407, 50807, 50461, 50625, 78857, 51364, 51197, 50981, 58097, 65785, 51028, 58399, 66013, 53777, 58509, 60465, 53777, 51073, 51197, 59791, 50956, 68465, 55343, 51048, 51028, 58399, 66983, 50956, 51058, 79705, 51364, 51176, 50981, 58097, 51242, 56546, 65479, 66013, 55343, 58509, 60465, 53777, 65815, 59242, 50956, 68465, 56853, 51048, 51001, 65479, 66983, 50956, 51058, 50799, 56853, 52297, 50302, 50981, 58097, 65785, 53863, 51048, 51028, 58399, 51277, 64551, 60465, 53407, 51073, 51197, 59791, 50956, 68465, 53863, 51048, 51028, 58399, 66983, 50956, 51058, 50799, 56853, 51161, 51176, 50995, 58097, 51242, 62144, 51242, 59409, 60465, 51176, 59791, 50989, 67426, 55602, 51048, 50965, 68464, 50876, 50978, 78857, 52297, 50293, 50981, 55961, 65785, 53250, 51048, 50965, 68766, 51028, 60465, 53777, 51364, 51050, 59791, 51040, 68465, 50965, 66913, 55343, 72655, 51058, 79705, 52297, 50298, 60115, 50989, 65785, 54414, 72999, 68766, 51001, 60465, 55602, 51364, 51197, 59791, 50989, 51242, 65851, 66913, 53407, 73027, 51058, 78857, 52297, 50300, 60115, 50989, 65785, 53777, 51048, 50965, 51242, 59409, 60465, 55343, 51073, 51503, 59791, 50989, 68465, 53777, 51048, 50965, 66913, 50876, 51058, 78857, 51161, 51360, 51677, 55961, 51242, 62144, 68181, 51028, 68535, 50931, 67367, 51028, 64860, 53407, 51048, 50965, 61327, 50871, 50917, 50799, 56418, 52530, 50290, 66403, 50965, 64002, 56853, 66562, 61120, 50931, 57581, 55602, 73569, 62682, 50965, 60866, 53407, 66562, 59562, 50902, 50938, 50799, 56853, 52530, 50295, 66403, 50989, 64002, 55602, 66562, 61120, 51001, 57581, 53407, 51364, 51378, 62682, 50989, 51060, 60027, 59562, 53777, 69712, 50938, 50799, 55343, 52297, 50300, 50981, 55961, 65785, 57147, 51048, 50965, 68766, 51028, 51058, 50436, 50624, 50438, 53407, 51364, 51503, 59791, 50989, 51242, 50446, 50624, 50450, 50965, 66913, 53777, 54666, 51058, 50457, 50623, 51034, 55343, 51161, 51360, 51662, 50419, 50622, 55961, 51242, 62144, 51242, 50429, 50622, 77431, 51058, 57019, 52019, 50317, 75408, 50621, 50449, 50625, 52552, 53407, 50807, 52185, 51016, 53580, 51016, 58881, 51016, 78857, 51364, 51652, 51274, 53580, 51274, 56469, 51274, 52046, 52019, 50295, 50981, 58097, 65785, 51028, 58399, 66013, 53407, 50795, 51652, 50893, 53580, 50893, 56469, 78171, 60465, 53777, 51073, 51652, 51055, 53628, 51055, 56469, 51055, 52046, 51517, 50295, 56306, 50956, 68465, 55343, 51048, 51652, 51290, 52608, 51290, 56469, 51290, 51028, 58399, 66983, 50956, 51058, 79705, 51364, 52185, 51274, 52608, 51274, 56381, 51274, 51503, 51939, 51176, 51692, 58097, 51242, 56546, 65479, 66013, 55343, 50795, 51721, 50893, 52608, 50893, 56381, 67782, 53130, 50317, 60676, 53777, 51073, 51643, 51055, 52608, 51055, 56381, 51055, 51001, 58007, 51277, 61614, 68465, 56853, 51048, 51643, 51290, 52608, 51290, 56381, 51290, 50876, 65479, 66983, 50956, 51058, 50799, 56853, 51016, 52226, 51054, 52608, 51054, 55329, 53531, 50290, 65757, 55419, 50956, 64002, 53863, 51073, 52226, 51566, 52608, 51566, 55329, 51566, 51028, 59408, 62109, 50956, 57581, 53407, 51073, 52226, 51566, 52608, 51566, 56469, 51566, 52046, 51608, 50295, 51016, 61614, 60866, 53863, 51073, 52226, 51566, 52608, 51566, 56469, 51566, 51028, 59408, 61327, 50956, 50938, 50799, 56853, 51933, 51643, 51585, 52608, 51585, 56381, 51585, 51503, 51800, 50300, 51016, 58097, 51060, 62144, 51158, 59409, 57581, 51503, 51608, 50300, 62682, 50989, 65458, 56853, 51073, 51643, 51500, 52891, 51500, 56381, 51500, 50965, 64713, 50876, 50865, 50799, 56418, 51016, 52226, 51054, 51978, 51054, 58881, 53531, 50293, 51121, 51028, 79971, 51016, 66650, 63559, 56853, 51073, 52226, 51566, 51978, 51566, 58881, 51566, 51040, 51121, 51028, 51800, 50324, 51016, 58783, 55306, 53407, 51073, 52226, 51566, 52656, 51566, 58881, 51566, 51360, 51121, 50965, 65208, 61726, 51176, 64860, 55343, 51073, 52185, 51566, 51978, 51566, 58881, 51566, 51040, 51121, 50965, 75127, 63505, 50871, 50901, 79705, 51016, 52185, 51054, 53580, 51054, 61092, 53531, 50298, 51121, 50876, 52530, 50312, 50914, 56363, 63559, 54414, 51073, 52522, 51566, 53580, 51566, 61092, 51566, 50956, 51121, 50906, 55112, 50989, 55306, 56853, 51364, 51721, 51496, 52608, 51496, 56469, 51496, 51197, 51121, 51147, 51343, 50906, 69279, 51378, 51121, 64057, 62174, 55602, 50924, 51667, 50936, 52608, 50936 ]

[ 0, 250, 20902, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 42, 2125, 22750, 1626, 11098, 8, 10563, 6, 1969, 13, 5, 1619, 191, 50, 2365, 1061, 4, 20, 13305, 8, 2342, 4467, 483, 5, 33301, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 6, 3459, 9590, 6, 8, 6755, 12547, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 23667, 20889, 9, 19446, 13410, 228, 2289, 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 ]

[ 54458, 50796, 52563, 50824, 51088, 52121, 51357, 52121, 51251, 52121, 52978, 50886, 52837, 50886, 55134, 55234, 51805, 50374, 52526, 52062, 50420, 52978, 50886, 52837, 50886, 55134, 55316, 50971, 51510, 50941, 51768, 51331, 53998, 62313, 55134, 50886, 52978, 50886, 52837, 55234, 51052, 53945, 50953, 57759, 50860, 79025, 52978, 50886, 52837, 50886, 55134, 50886, 53884, 50450, 51271, 50824, 52837, 50886, 52978, 50886, 55134, 55924, 50975, 52470, 50456, 52978, 50886, 52837, 50886, 55134, 50886, 52470, 52563, 50824, 52978, 50886, 52837, 50886, 55134, 55234, 51805, 55772, 55134, 50886, 52978, 50886, 52837, 50886, 51970, 51510, 50864, 51768, 50860, 52470, 50432, 62313, 52837, 50886, 55134, 50886, 52978, 55234, 51052, 53269, 50953, 52299, 51805, 52875, 52978, 50886, 52837, 50886, 55134, 50886, 51248, 58290, 54185, 50847, 51388, 51271, 51072, 52978, 50886, 52837, 50886, 55134, 55924, 50975, 51287, 53120, 54481, 50850, 51286, 51289, 55638, 50941, 74776, 52369, 71877, 52978, 50886, 52837, 50886, 55134, 55234, 50823, 51248, 52526, 75856, 52978, 50886, 52837, 50886, 55134, 50886, 53861, 51510, 50864, 51768, 50860, 52470, 50432, 65812, 52978, 50886, 52837, 50835, 55134, 55234, 51052, 53980, 50953, 52299, 51805, 55368, 52978, 50886, 52837, 50886, 55134, 50886, 68372, 51271, 50824, 55134, 50886, 52978, 50886, 52837, 55924, 50975, 52470, 50451, 50847, 59436, 53017, 50850, 51286, 52978, 50886, 52837, 50886, 55134, 50886, 52470, 74776, 51653, 71877, 52978, 50886, 52837, 50886, 55134, 55234, 51052, 55394, 52978, 50886, 52837, 50886, 55134, 50886, 52470, 51510, 64942, 50935, 50858, 51768, 51805, 52818, 50935, 51735, 65812, 55134, 50886, 52978, 50886, 52837, 55234, 51052, 53945, 50953, 52299, 52715, 54758, 50935, 51603, 52978, 50886, 52837, 50886, 55134, 55316, 54105, 51271, 53694, 50976, 52470, 50456, 50935, 50940, 52978, 50886, 52837, 50886, 55134, 50886, 53884, 74776, 51427, 71877, 52978, 50886, 52837, 50886, 55134, 55234, 51805, 53023, 52978, 50886, 52837, 50886, 55134, 50886, 51842, 51510, 54317, 50935, 67344, 51331, 53031, 50935, 51745, 62313, 52978, 50886, 55134, 50886, 52837, 55234, 51052, 52788, 50953, 52299, 50823, 64864, 52978, 50886, 52837, 50886, 55134, 50886, 53884, 50450, 50935, 51286, 51271, 60406, 50975, 63012, 50909, 50940, 52978, 50886, 52837, 50886, 55134, 50886, 52470, 50461, 51491, 52121, 51113, 52121, 74776, 51072, 77199, 52978, 50886, 54816, 50886, 54116, 55234, 51805, 54202, 52978, 50886, 54816, 50886, 54116, 50886, 51960, 51510, 60417, 50850, 50882, 51768, 52715, 54860, 50850, 51407, 60264, 52978, 50886, 54816, 50886, 54116, 55136, 51805, 50864, 53758, 52299, 51805, 52875, 52978, 50886, 54816, 50886, 54116, 50886, 53884, 50450, 51011, 51072, 52978, 50886, 54816, 50886, 54116, 55924, 50975, 52470, 51453, 50864, 52288, 50824, 52978, 50886, 54816, 50886, 54116, 55234, 51052, 54202, 54816, 50886, 52978, 50886, 54116, 50886, 51960, 51510, 50864, 51768, 50860, 60945, 60264, 54816, 50886, 54116, 50886, 52978, 55234, 51052, 50886, 53758, 52299, 51052, 54394, 52978, 50886, 54816, 50886, 54116, 50886, 53884, 50450, 50850, 51505, 70049, 52978, 50886, 54816, 50886, 54116, 55924, 55188, 55370, 50935, 51012, 52978, 50886, 54816, 50886, 54116, 57323, 50864, 75696, 53174, 62644, 52978, 50886, 54816, 50886, 54116, 55234, 51805, 55772, 52978, 50886, 54816, 50886, 54116, 50886, 53884, 51510, 50864, 51768, 51331, 53998, 64386, 52978, 50886, 54816, 50886, 54116, 55234, 51052, 50941, 53758, 51072, 53005, 54394, 52978, 50886, 54816, 50886, 54116, 50886, 76288, 50909, 51030, 51011, 61512, 51331, 55293, 50909, 51030, 52978, 50886, 54816, 50886, 54116, 50886, 53884, 52288, 50824, 52978, 50886, 54816, 50886, 54116, 55234, 51052, 57392, 50909, 51427, 50420, 52978, 50886, 54816, 50886, 54116, 50886, 51970, 51510, 54317, 50909, 50936, 50903, 50860, 70767, 50909, 51566, 60264, 52978, 50886, 54116, 50886, 54816, 55234, 51052, 50904, 53758, 52299, 51805, 54394, 50909, 51500, 52978, 50886, 54816, 50886, 54116, 50886, 53884, 50450, 51011, 61037, 50976, 53861, 50456, 50909, 51033, 52978, 50886, 54816, 50886, 54116, 50886, 53861, 52288, 50824, 52978, 50886, 54816, 50886, 54116, 55234, 50823, 51468, 60043, 51573, 50420, 52978, 50886, 54816, 50886, 54116, 55316, 50971, 51510, 50904, 51768, 52715, 54854, 50909, 51573, 60264, 54816, 50886, 52978, 50886, 54116, 55234, 51052, 52896, 50927, 51072, 58130, 55434, 52978, 50886, 54816, 50886, 54116, 50886, 53884, 50450, 51213, 61512, 50976, 52470, 73466, 61063, 51007, 50952, 52978, 50886, 54816, 50886, 54116, 57323, 60863, 51251, 52121, 51088, 52121, 51357, 52121, 52563, 51059, 52978, 50886, 52837, 50886, 55134, 55234, 51805, 50904, 60043, 51379, 50420, 52978, 50886, 52837, 50886, 55134, 50886, 53861, 50423, 77564, 53861, 51768, 52715, 54854, 50935, 52827, 62313, 52978, 50886, 52837, 50886, 55134, 55234, 51052, 54728, 69871, 58130, 54394, 52978, 50886, 52837, 50886, 55134, 50886, 53884, 50450, 51271, 50824, 52978, 50886, 52837, 50886, 55134, 55924, 51331, 50864, 51453, 50864, 52563, 51059, 52978, 50886, 52837, 50886, 55134, 55234, 51052, 53070, 55134, 50886, 52978, 50886, 52837, 50886, 51960, 51510, 50941, 51768, 51331, 54854, 50935, 50802, 57909, 52837, 50886, 55134, 50886, 52978, 55234, 51052, 54728, 50909, 51054, 51019, 51072, 58130, 54394, 52978, 50886, 52837, 50886, 55134, 50886, 51895, 54936, 53140, 51007, 51066, 50927, 51072, 52978, 50886, 52837, 50886, 55134, 55924, 51331, 50825, 51453, 50371, 53120, 65315, 51301, 52121, 51088, 52121, 51093, 52121, 50799, 51149, 52827, 70259, 54148, 50886, 52837, 50886, 54195, 55234, 51805, 54202, 54148, 50886, 52837, 50886, 54195, 50886, 51960, 51510, 50941, 51768, 51331, 54854, 57951, 54148, 50886, 52837, 50886, 54195, 55234, 51052, 54927, 50964, 58680, 50860, 79025, 51149, 51054, 54148, 50886, 52837, 50886, 54195, 50886, 76288, 71877, 52837, 50886, 54148, 50886, 54195, 55924, 51331, 54232, 51840, 50802, 54148, 50886, 52837, 50886, 54195, 50886, 53861, 50799, 51439, 51029, 70259, 54148, 50886, 52837, 50886, 54195, 55234, 51052, 53023, 54148, 50886, 52837, 50886, 54195, 55316, 50971, 51510, 50941, 51768, 51331, 54854, 51149, 50923, 57951, 52837, 50886, 54195, 50886, 54148, 55234, 51052, 63123, 51649, 51388, 56107, 57759, 51805, 54394, 51439, 50923, 54148, 50886, 52837, 50886, 54195, 50886, 68372, 51840, 62397, 50824, 54195, 50886, 54148, 50886, 52837, 55924, 50976, 52470, 50456, 51149, 51014, 54148, 50886, 52837, 50886, 54195, 57323, 58449, 51088, 52121, 51357, 52121, 51251, 52121, 50799, 51149, 62455, 51059, 52978, 50886, 52837, 50886, 55134, 55234, 51805, 55772, 52978, 50886, 52837, 50886, 55134, 55316, 50971, 51510, 50941, 51768, 52715, 50941, 50427, 51007, 52359, 62313, 52978, 50886, 52837, 50886, 55134, 55234, 51052, 65176, 51007, 51009, 55208, 52299, 51805, 54394, 52978, 50886, 52837, 50886, 55134, 50886, 71330, 51271, 53694, 51331, 55370, 52837, 50886, 52978, 50886, 55134, 50886, 52066, 52563, 50824, 52978, 50886, 52837, 50886, 55134, 55234, 51805, 54202, 52978, 50886, 52837, 50886, 55134, 50886, 53861, 51510, 50971, 51768, 52715, 54854, 62313, 52837, 50886, 55134, 50886, 52978, 55234, 51805, 54927, 69871, 58130, 54394, 52978, 50886, 52837, 50886, 55134, 55316, 55256, 51271 ]

[ 0, 250, 15352, 30054, 5175, 15229, 19, 15855, 16882, 6, 4246, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 13305, 6, 30062, 620, 7085, 12280, 642, 6, 8, 21072, 4, 8504, 11, 230, 3694, 19, 10, 231, 73, 398, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 10563, 4, 20, 33215, 16739, 9, 12608, 6, 163, 428, 6, 8, 230, 119, 406, 3639, 5581, 7, 5, 2125, 6, 442, 24, 10686, 13, 822, 50, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51540, 50625, 53075, 51047, 51476, 51047, 51303, 51047, 51651, 60610, 50625, 50450, 56139, 51047, 51476, 51047, 51687, 51047, 51231, 51047, 51540, 50625, 56397, 51151, 54872, 51151, 52102, 51151, 51303, 51151, 50438, 50625, 51540, 50625, 51887, 51336, 51299, 51336, 51154, 51336, 51375, 51336, 50450, 51699, 51336, 51299, 51336, 51426, 51336, 51088, 51336, 51540, 50625, 53599, 51655, 52316, 51655, 51794, 51655, 51154, 51655, 51540, 50625, 51752, 51043, 51887, 51215, 51154, 51336, 51375, 51336, 54720, 51047, 52133, 62479, 51606, 51043, 52316, 78590, 51606, 51043, 51426, 67702, 51606, 69023, 51215, 51154, 52392, 51375, 51336, 57166, 51047, 52133, 51047, 50462, 51565, 51043, 50474, 52251, 51043, 51540, 50625, 51565, 69023, 52392, 51154, 54454, 51375, 51336, 55430, 51047, 52133, 62479, 51606, 51043, 51299, 78590, 51606, 51043, 52316, 67702, 51606, 51047, 51887, 51215, 51154, 54454, 51165, 51336, 60515, 51047, 52133, 51047, 50462, 51154, 54300, 50474, 51088, 51215, 51540, 50625, 51752, 51043, 51887, 51215, 51154, 53002, 51375, 51336, 51093, 51336, 54720, 51047, 52133, 62479, 51606, 51043, 52316, 78590, 51606, 50878, 51299, 77683, 51606, 69204, 51154, 53002, 51154, 53002, 51375, 51336, 51093, 51336, 57166, 51047, 52133, 51047, 50462, 51565, 51043, 50474, 52251, 51043, 51540, 50625, 51827, 51043, 51088, 51472, 51375, 51215, 51375, 51896, 51093, 51215, 55430, 51047, 52133, 62479, 52251, 51043, 51088, 51896, 51201, 78590, 51565, 77129, 51933, 51182, 67702, 51606, 51047, 51154, 53002, 51088, 53002, 51375, 54454, 51629, 51215, 60515, 51047, 52133, 51047, 50462, 51201, 51215, 50474, 51182, 51215, 51540, 50625, 51752, 51043, 51887, 51215, 51154, 53002, 51375, 53002, 51394, 51294, 54720, 51047, 52133, 62479, 51606, 51043, 52316, 78590, 51606, 51043, 51299, 51215, 51394, 60835, 51304, 58710, 51606, 69023, 53002, 51629, 51215, 57166, 51047, 52133, 51047, 50462, 51673, 51043, 51182, 51215, 50474, 51673, 51043, 51201, 51215, 51540, 50625, 51673, 51043, 51887, 51215, 51154, 53002, 51375, 54454, 51629, 51655, 55430, 51047, 52133, 62479, 51606, 51043, 52316, 78590, 51606, 51043, 51299, 67702, 51606, 51134, 51154, 53002, 51154, 53002, 51375, 53002, 60515, 51047, 52133, 51047, 50474, 51565, 50878, 50480, 52251, 50878, 51540, 50625, 51565, 51043, 51251, 51655, 51154, 53002, 51375, 53002, 51093, 53002, 58366, 51714, 58366, 52919, 50426, 51606, 69397, 51606, 65029, 51606, 51043, 58366, 51717, 50462, 51565, 51043, 58366, 51717, 58366, 51717, 50474, 52251, 51043, 55793, 51043, 55793, 51717, 51540, 50625, 51606, 51151, 51794, 51655, 60515, 51151, 50474, 52133, 51043, 51540, 50625, 51752, 51043, 51887, 51215, 51154, 53002, 51375, 54454, 54720, 51047, 52133, 62479, 51606, 51043, 52316, 78590, 51606, 51043, 51426, 67702, 51606, 69023, 53002, 51154, 53002, 51375, 54454, 57166, 51047, 52133, 51047, 50462, 51565, 51043, 50474, 52251, 51043, 51540, 50625, 51565, 69023, 53002, 51154, 53002, 51375, 53002, 55430, 51047, 52133, 62479, 51606, 51043, 51299, 78590, 51606, 51043, 52316, 67702, 51606, 51047, 51887, 51215, 51154, 53002, 51165, 51336, 60515, 51047, 52133, 51047, 50462, 51154, 53002, 50474, 51088, 53002, 51540, 50625, 51752, 51043, 51887, 51215, 51154, 53002, 51375, 54454, 51093, 51336, 54720, 51047, 52133, 62479, 51606, 51043, 52316, 78590, 51606, 50878, 51299, 77683, 51606, 69204, 51154, 53002, 51154, 53002, 51375, 52392, 51093, 51336, 57166, 51047, 52133, 51047, 50462, 51565, 51043, 50474, 52251, 51043, 51540, 50625, 51827, 51043, 51088, 52392, 51375, 51896, 51375, 54454, 51093, 51215, 55430, 51047, 52133, 62479, 52251, 51043, 51088, 53002, 51201, 78590, 51565, 77129, 54300, 51182, 67702, 51606, 51047, 51154, 53002, 51088, 53002, 51375, 53002, 51629, 51215, 60515, 51047, 52133, 51047, 50462, 51201, 51215, 50474, 51182, 51215, 51540, 50625, 51752, 51043, 51887, 51215, 51154, 53002, 51375, 53002, 51394, 51294, 54720, 51047, 52133, 62479, 51606, 51043, 52316, 78590, 51606, 51043, 51299, 51215, 51394, 60835, 51304, 58710, 51606, 69023, 53002, 51629, 51215, 57166, 51047, 52133, 51047, 50462, 51673, 51043, 51182, 51215, 50474, 51673, 51043, 51201, 51215, 51540, 50625, 51673, 51043, 51887, 51215, 51154, 53002, 51375, 53002, 51629, 51655, 55430, 51047, 52133, 62479, 51606, 51043, 52316, 78590, 51606, 51043, 51299, 67702, 51606, 51134, 51154, 53002, 51154, 53002, 51375, 53002, 60515, 51047, 52133, 51047, 50474, 51565, 50878, 50480, 52251, 50878, 51540, 50625, 51565, 51043, 51251, 51655, 51154, 53002, 51375, 53002, 51093, 53002, 58366, 51714, 58366, 51714, 50426, 51606, 69397, 51606, 65029, 51606, 51043, 58366, 51043, 58366, 51397, 50462, 51565, 51043, 58366, 51043, 58366, 51043, 50474, 52251, 51043, 55793, 51043, 55793, 51043, 51540, 50625, 51606, 51047, 51794, 51655, 60515, 60610, 51606, 53999, 51565, 58638, 51606, 52843, 52161, 51047, 57166, 51047, 51540, 50625, 51651, 51047, 51327, 51047, 51980, 51047, 54757, 51047, 52566, 51047, 54254, 51047, 54785, 51452, 50856, 52917, 50856, 53018, 50856, 53325, 54785, 56060, 52161, 51043, 51231, 51047, 51414, 51047, 51980, 51047, 52650, 51047, 53267, 51047, 54254, 51047, 52993, 51452, 76066, 50462, 51606, 73315, 50863, 50474, 51565, 73315, 50863, 50480, 52993, 50878, 51540, 50625, 52251, 51043, 51303, 51151, 51651, 51151, 51327, 51151, 53118, 51151, 54757, 51151, 52566, 51151, 52584, 51452, 50856, 52917, 51565, 73315, 53018, 51606, 73315, 60795, 52993, 58638, 52584, 52843, 52251, 51043, 52251, 52919, 54740, 51043, 52585, 51047, 76066, 50462, 51565, 51043, 51827, 51043, 54428, 73315, 50863, 50474, 51606, 51043, 51673, 51043, 53647, 73315, 50863, 51540, 50625, 51606, 51422, 52251, 52644, 52102, 51047, 51303, 51047, 51651, 51047, 56837, 51047, 53118, 51047, 54757, 51047, 54740, 51047, 52458, 51047, 50856, 52917, 50856, 53018, 50856, 52805, 52161, 51422, 51606, 51043, 51476, 51047, 51687, 51047, 51651, 51047, 53715, 51047, 54969, 51047, 54757, 51047, 53000, 51043, 51416, 51047, 76066, 50462, 51565, 51043, 53039, 73315, 50863, 50474, 52251, 51717, 54740, 73315, 50863, 51540, 50625, 52671, 51151, 52671, 51717, 52102, 51151, 51303, 51151, 51651, 51151, 56837, 51452, 53118, 51452, 54757, 51452, 54361, 51151, 51526, 73315, 52917, 51416, 73315, 50863, 62083, 73315, 52805, 52585, 62211, 50863, 50462, 76066, 50468, 62733, 50878, 50474, 61321, 54049, 50863, 50478, 55301, 50810, 50482, 55298, 50810, 51540, 50625, 51651, 51047, 51327, 51047, 51980, 51047, 54757, 51047, 52566, 51047, 54254, 51047, 54785, 51452, 50856, 52917, 50856, 53018, 50856, 53325, 54785, 56060, 52161, 51043, 51231, 51047, 51414, 51047, 51980, 51047, 52650, 51047, 53267, 51047, 54254, 51047, 52993, 51452, 76066, 50462, 51606, 73315, 50863, 50474, 51565, 73315, 50863, 50480, 52993, 50878, 51540, 50625, 52251, 51714, 51303, 51151, 51651, 51151, 51327, 51151, 53118, 51151, 54757, 51151, 52566, 51151, 52584, 51452, 50856, 52917, 51565, 73315, 53018, 51606, 73315, 60795, 52993, 58638, 52584, 52843, 52251, 52919, 54740, 51043, 52585, 51047, 76066, 50462, 51565, 51043, 54428, 73315, 50863, 50474, 51606, 51043, 53647, 73315, 50863, 51540, 50625, 51606, 51422, 52251, 52644, 52102, 51047, 51303, 51047, 51651, 51047, 56837, 51047, 53118, 51047, 54757, 51047, 54740, 51047, 52585, 51047 ]

[ 0, 713, 8787, 5175, 8, 3152, 24904, 2125, 6, 278, 11, 381, 3694, 6, 16, 10, 13363, 28191, 11739, 9, 19448, 8, 15352, 30054, 4785, 19, 41, 223, 28311, 9, 15073, 4, 2306, 9756, 6, 30587, 6, 8, 2382, 3459, 29589, 45552, 833, 19, 38668, 22052, 6, 150, 10, 31391, 1672, 9590, 3639, 5581, 7, 5, 15229, 4, 590, 10, 748, 1879, 4450, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 1575, 10, 16331, 33215, 16739, 9, 3676, 8, 163, 428, 6, 2351, 10, 5679, 26709, 8, 980, 219, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 67004, 52124, 54089, 51349, 56100, 51282, 53765, 51089, 55224, 51023, 52322, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 66844, 54089, 51132, 75361, 51118, 53765, 51061, 55224, 51089, 53585, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 70973, 55419, 51089, 53765, 51023, 55224, 51089, 53585, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 70973, 55419, 51089, 53765, 51023, 55224, 51089, 53585, 51023, 55451, 51089, 50896, 50799, 52124, 54089, 51349, 56100, 51282, 53765, 51089, 55224, 51023, 52322, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 66844, 54089, 51132, 75361, 51118, 53765, 51061, 55224, 51089, 53585, 51023, 50896, 55815, 52570, 50444, 51089, 54526, 51023, 57024, 51089, 50896, 70973, 55419, 51089, 53765, 51023, 55224, 51089, 53585, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 70973, 55419, 51089, 53765, 51023, 55224, 51089, 53585, 51023, 55451, 51089, 50896, 50799, 52124, 54089, 51349, 56100, 51282, 53765, 51089, 55224, 51023, 52322, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 66844, 54089, 51132, 56100, 51118, 53765, 51061, 55224, 51089, 53585, 51023, 55451, 51089, 54526, 51061, 57024, 51118, 50896, 50799, 52124, 54089, 51349, 56100, 51282, 53765, 51089, 55224, 51023, 52322, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 50799, 52947, 54089, 51533, 51036, 54307, 69097, 51557, 53765, 51341, 55224, 51020, 53585, 51023, 55451, 51089, 54526, 51020, 57024, 51341, 50896, 50799, 52124, 54089, 51349, 51036, 55815, 52570, 50420, 51282, 53765, 51089, 55224, 51023, 52322, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 66844, 54089, 51132, 56100, 51118, 53765, 51061, 55224, 51089, 53585, 51023, 55451, 51089, 54526, 51061, 57024, 51118, 50896, 50799, 52047, 54089, 51338, 51036, 54307, 69097, 51401, 53765, 51118, 55224, 51089, 53585, 51023, 55451, 51089, 52610, 51089, 57024, 51118, 50896, 50799, 53707, 54089, 51727, 51036, 53828, 52570, 50420, 51616, 53765, 51557, 55224, 51083, 53585, 51023, 55451, 51089, 54526, 51083, 57024, 51557, 50896, 50799, 52124, 54089, 51349, 51036, 56035, 61912, 51282, 53765, 51089, 55224, 51023, 52322, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 66844, 54089, 51132, 51036, 57697, 61912, 51118, 53765, 51061, 55224, 51089, 53585, 51023, 55451, 51089, 54526, 51061, 57024, 51118, 50896, 50799, 52124, 54089, 51349, 51036, 56035, 61912, 51282, 53765, 51089, 55224, 51023, 52322, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 50799, 52947, 54089, 51533, 51036, 54339, 51469, 65638, 61912, 51557, 53765, 51341, 55224, 51020, 53585, 51023, 55451, 51089, 54526, 51020, 57024, 51341, 50896, 50799, 52124, 54089, 51349, 51036, 53828, 52570, 64638, 61912, 51282, 53765, 51089, 55224, 51023, 52322, 51023, 55451, 51089, 54526, 51023, 57024, 51089, 50896, 66844, 54089, 51132, 51036, 57697, 61912, 51118, 53765, 51061, 55224, 51089, 53585, 51023, 55451, 51089, 54526, 51061, 57024, 51118, 50896, 50799, 52047, 54089, 51338, 51036, 52626, 51469, 67375, 61912, 51401, 53765, 51118, 55224, 51089, 53585, 51023, 55451, 51089, 52610, 51089, 57024, 51118, 50896, 50799, 53707, 54089, 51727, 51036, 52886, 51469, 62251, 61912, 51616, 53765, 51557, 55224, 51083, 53585, 51023, 55451, 51089, 54526, 51083, 57024, 51557, 50896, 66844, 51469, 51132, 51492, 59151, 52570, 57697, 77076, 51557, 64246, 51118, 66808, 51061, 55224, 51020, 53585, 51092, 55451, 51020, 54526, 51061, 57024, 51118, 50896, 66844, 69097, 51118, 53765, 51061, 55224, 51020, 53585, 51092, 55451, 51020, 54526, 51061, 57024, 51118, 50896, 66844, 51469, 51132, 51492, 65638, 77076, 51557, 53765, 51341, 55224, 51020, 53585, 51092, 55451, 51020, 54526, 51341, 57024, 51557, 50896, 50799, 51546, 50896, 50700, 50343, 66645, 51020, 53765, 51341, 55224, 51185, 50896, 64298, 72328, 51020, 55451, 51341, 54526, 51092, 50896, 59151, 57024, 51020, 50896, 66844, 51469, 51132, 51492, 59151, 52570, 57697, 77076, 51557, 64246, 51118, 66808, 51061, 55224, 51020, 53585, 51092, 55451, 51020, 54526, 51061, 57024, 51118, 50896, 66844, 69097, 51118, 53765, 51061, 55224, 51020, 53585, 51092, 55451, 51020, 54526, 51061, 57024, 51118, 50896, 66844, 51469, 51132, 51492, 65638, 77076, 51557, 53765, 51341, 55224, 51020, 53585, 51092, 55451, 51020, 54526, 51341, 57024, 51557, 50896, 50799, 51546, 50896, 50700, 50343, 66645, 51020, 53765, 51341, 55224, 51185, 50896, 64298, 72328, 51020, 55451, 51341, 54526, 51092, 50896, 59151, 57024, 51020, 50896, 70782, 51469, 51137, 51492, 64298, 52570, 56643, 77076, 51118, 64246, 51083, 66808, 51020, 55224, 51023, 53585, 51185, 55451, 51023, 54526, 51020, 57024, 51083, 50896, 70782, 69097, 51083, 53765, 51020, 55224, 51023, 53585, 51185, 55451, 51023, 54526, 51020, 57024, 51083, 50896, 70782, 51469, 51137, 51492, 57697, 77076, 51118, 53765, 51061, 55224, 51023, 53585, 51185, 55451, 51023, 54526, 51061, 57024, 51118, 50896, 50799, 51530, 50896, 50700, 50345, 66645, 51023, 53765, 51061, 55224, 51403, 50896, 50700, 50344, 72328, 51023, 55451, 51061, 54526, 51185, 50896, 64298, 57024, 51023, 50896, 70782, 51469, 51137, 51492, 64298, 52570, 56643, 77076, 51118, 64246, 51083, 66808, 51020, 55224, 51023, 53585, 51185, 55451, 51023, 54526, 51020, 57024, 51083, 50896, 70782, 69097, 51083, 53765, 51020, 55224, 51023, 53585, 51185, 55451, 51023, 54526, 51020, 57024, 51083, 50896, 70782, 51469, 51137, 51492, 57697, 77076, 51118, 53765, 51061, 55224, 51023, 53585, 51185, 55451, 51023, 54526, 51061, 57024, 51118, 50806, 74290, 51469, 50700, 50345, 51469, 50415, 51061, 51469, 50416, 51023, 51469, 50417, 51530, 51469, 79361, 50896, 50700, 50344, 52570, 50420, 51268, 53765, 51495, 55224, 51023, 53585, 51089, 55451, 51268, 54526, 51495, 57024, 51023, 50896, 79361, 55419, 51268, 53765, 51495, 55224, 51023, 53585, 51089, 55451, 51268, 54526, 51495, 57024, 51023, 50896, 79361, 55419, 51061, 53765, 51118, 55224, 51023, 53585, 51089, 55451, 51061, 54526, 51118, 50896, 55815, 57024, 51023, 50896, 53828, 50896, 79361, 50896, 53718, 55419, 51061, 50896, 52626, 53765, 51118, 50896, 55815, 55224, 51023, 50896, 53828, 53585, 51089, 50896, 53718, 55451, 51061, 50896, 52626, 54526, 51118, 50896, 55815, 57024, 51023, 50896, 53828, 50896, 79361, 50896, 55248, 55419, 51268, 50896, 53976, 53765, 51495, 50896, 55815, 55224, 51023, 50896, 53828, 53585, 51089, 50896, 55248, 55451, 51268, 50896, 53976, 54526, 51495, 50896, 55815, 57024, 51023, 50896, 53828, 50896, 79361, 50896, 55248, 55419, 51268, 50896, 53976, 53765, 51495, 50896, 55815, 55224, 51023, 50896, 53828, 53585, 51089, 50896, 55248, 55451, 51268, 50896, 53976, 54526, 51495, 50896, 55815, 57024, 51023, 50896, 53828, 50896, 79361, 50896, 53718, 55419, 51061, 50896, 52626, 53765, 51118, 50896, 55815, 55224, 51023, 50896, 53828, 53585, 51089, 50896, 53718, 55451, 51061, 50896, 52626, 54526, 51118, 50896, 55815, 57024, 51023, 50896, 53828, 50896, 79361, 50896, 53718, 55419, 51061, 50896, 52626, 53765, 51118, 50896, 55815, 55224, 51023, 50896, 53828, 53585, 51089, 50896, 53718, 55451, 51061, 50896, 52626, 54526, 51118, 57024, 51023, 50896, 79361, 55419, 51083, 53765, 51282, 55224, 51763, 51685, 51684, 51492, 62251, 51184, 52583, 51184, 50438, 51282, 55451, 51083 ]

[ 0, 250, 15352, 30054, 5175, 1619, 2214, 19, 10, 2842, 9, 14123, 3495, 6, 4246, 10, 13305, 483, 7513, 30, 31391, 1672, 9590, 8, 21072, 6, 7630, 14805, 10, 19448, 8, 1372, 5466, 4, 8504, 11, 10, 7212, 155, 73, 306, 86, 6543, 8, 5, 762, 9, 163, 428, 538, 6, 5, 2125, 16, 17407, 30, 5, 33215, 16739, 9, 163, 428, 6, 272, 119, 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 ]

[ 80054, 51533, 51291, 50816, 52001, 50858, 72840, 51291, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52557, 51631, 50843, 56274, 52557, 50991, 58932, 54112, 52585, 51091, 55677, 51091, 51450, 55509, 50808, 52027, 50795, 51515, 50795, 51773, 51918, 50843, 50808, 52557, 50795, 51034, 51602, 66692, 52001, 50858, 68641, 50918, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52027, 50795, 51515, 50795, 51773, 51631, 50843, 56274, 52557, 51628, 50843, 50810, 52027, 52262, 66197, 55511, 52221, 55509, 50808, 57117, 50807, 52027, 50795, 51515, 51918, 52615, 51163, 50808, 52557, 50795, 51034, 51533, 51291, 50816, 52001, 50858, 72840, 51291, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52557, 51631, 50843, 56274, 52557, 50991, 58932, 54112, 52585, 51091, 55677, 51091, 51450, 55509, 50808, 52027, 50795, 51515, 50795, 51773, 51918, 50843, 50808, 52557, 50795, 51034, 51602, 66692, 52001, 50858, 68641, 50918, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52027, 50795, 51515, 50795, 51773, 51631, 50843, 56274, 52557, 51628, 50843, 50810, 52027, 52262, 66197, 55511, 52221, 55509, 50808, 57117, 50807, 52027, 50795, 51515, 51918, 52615, 51163, 50808, 52557, 50795, 51034, 51533, 51291, 50816, 52001, 50858, 72840, 51291, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52557, 51631, 50843, 56274, 52557, 50991, 58932, 54112, 52585, 51091, 55677, 51091, 51450, 55509, 50808, 52027, 50795, 51515, 50795, 51773, 51918, 50843, 50808, 52557, 50795, 51034, 51602, 66692, 52001, 50858, 68641, 50918, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52027, 50795, 51515, 50795, 51773, 51631, 50843, 56274, 52557, 51628, 50843, 50810, 52027, 52262, 66197, 55511, 52221, 55509, 50808, 57117, 50807, 52027, 50795, 51515, 51918, 52615, 51163, 50808, 52557, 50795, 51034, 51533, 51291, 50816, 52001, 50858, 72840, 51291, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52557, 51631, 50843, 56274, 52557, 50991, 58932, 54112, 52585, 51091, 55677, 51091, 51450, 55509, 50808, 52027, 50795, 51515, 50795, 51773, 51918, 50843, 50808, 52557, 50795, 51034, 51602, 66692, 52001, 50858, 68641, 50918, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52027, 50795, 51515, 50795, 51773, 51631, 50843, 56274, 52557, 51628, 50843, 50810, 52027, 52262, 66197, 55511, 52221, 55509, 50808, 57117, 50807, 52027, 50795, 51515, 51918, 52615, 51163, 50808, 51434, 52513, 51929, 50800, 51034, 52585, 72750, 52001, 50858, 55677, 50983, 52027, 50991, 51515, 50991, 51773, 50991, 51001, 50993, 52399, 54588, 52557, 51091, 51001, 50993, 55057, 53627, 52585, 54982, 50810, 55677, 59351, 75084, 55509, 50808, 52027, 50807, 51515, 50807, 51773, 59351, 52313, 52585, 52732, 50808, 55677, 57367, 50802, 51034, 51416, 72750, 52001, 50858, 54437, 50983, 52027, 50991, 51515, 50991, 51773, 50991, 51001, 50993, 52399, 54588, 52557, 51091, 51001, 50993, 55057, 53627, 51416, 54982, 50810, 54437, 61241, 75084, 55509, 50808, 52027, 50807, 51515, 50807, 51773, 59351, 52313, 51416, 51428, 55509, 50808, 54437, 57367, 50802, 51034, 51526, 72750, 52001, 50858, 57117, 50983, 51614, 50991, 51515, 50991, 51773, 50991, 50902, 50993, 52399, 54588, 52557, 51091, 50902, 50993, 55057, 53627, 51526, 54982, 50810, 57117, 63161, 75084, 55509, 50808, 51614, 50807, 51515, 50807, 51773, 63161, 52313, 51526, 52732, 50808, 57117, 56645, 50802, 51034, 51602, 51358, 50816, 52001, 50858, 68641, 51358, 51774, 50991, 52027, 50991, 51773, 50991, 50876, 50993, 52399, 54588, 51614, 50991, 51773, 50991, 50902, 50993, 55057, 53627, 50843, 50810, 52027, 50795, 51773, 57367, 75084, 55509, 50808, 52027, 50807, 51773, 63161, 52313, 51602, 51428, 55509, 50808, 68641, 53658, 57967, 51034, 52585, 72750, 52001, 50858, 55677, 50983, 52027, 50991, 51515, 50991, 51773, 50991, 51001, 50993, 52399, 54588, 52557, 51091, 51001, 50993, 55057, 53627, 52585, 54982, 50810, 55677, 59351, 75084, 55509, 50808, 52027, 50807, 51515, 50807, 51773, 59351, 52313, 52585, 52732, 50808, 55677, 57367, 50802, 51034, 51416, 72750, 52001, 50858, 54437, 50983, 52027, 50991, 51515, 50991, 51773, 50991, 50951, 50993, 52399, 54588, 52557, 51091, 50951, 50993, 55057, 53627, 51416, 54982, 50810, 54437, 59351, 75084, 55509, 50808, 52027, 50807, 51515, 50807, 51773, 63161, 52313, 51416, 51428, 55509, 50808, 54437, 56645, 50802, 51034, 51526, 72750, 52001, 50858, 57117, 50983, 51614, 50991, 51515, 50991, 51773, 50991, 50902, 50993, 52399, 54588, 52557, 51091, 51001, 50993, 55057, 53627, 51526, 54982, 50810, 57117, 59351, 75084, 55509, 50808, 51614, 50807, 51515, 50807, 51773, 56831, 52313, 51526, 52732, 50808, 57117, 56645, 50802, 51034, 51602, 72750, 52001, 50858, 68641, 50983, 52027, 50991, 51515, 50991, 51773, 50991, 51001, 51009, 52399, 54588, 52557, 51091, 55057, 53627, 51602, 52732, 50810, 68641, 50795, 54908, 52221, 55509, 50808, 54437, 50807, 52027, 50807, 51515, 50807, 51773, 50807, 52129, 55509, 50808, 51034, 51526, 72750, 52001, 50858, 57117, 50983, 51614, 50991, 51515, 50991, 51773, 50991, 50902, 50993, 52399, 54588, 52557, 51091, 51001, 50993, 55057, 53627, 51526, 52732, 50810, 57117, 56645, 52125, 51132, 51428, 55509, 50808, 58933, 50795, 51614, 50807, 51515, 50807, 51773, 61241, 52313, 51526, 52732, 50808, 57117, 59688, 50802, 51034, 51602, 72750, 52001, 50858, 68641, 50983, 52027, 50991, 51515, 50991, 51773, 50991, 50951, 51059, 52399, 54588, 52557, 51091, 55057, 56274, 50931, 52119, 51602, 54982, 50810, 68641, 63161, 51029, 51450, 55509, 50808, 52027, 50807, 51515, 50807, 51773, 53218, 51602, 51428, 55509, 50808, 68641, 50795, 51034, 51533, 72750, 52001, 50858, 72840, 50983, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52557, 52910, 50843, 53627, 52585, 63185, 50810, 55677, 50983, 50435, 52557, 64772, 55509, 50808, 51515, 50795, 51773, 51918, 50843, 50808, 52027, 50795, 51034, 51533, 72750, 52001, 50858, 72840, 50983, 52027, 50991, 51515, 50991, 51773, 50991, 52399, 54588, 52557, 52910, 50843, 53627, 52585, 63185, 50810, 55677, 50983, 50435, 52557, 64772, 55509, 50808, 51515, 50795, 51773, 56730, 53609, 51001, 50993, 52129, 55509, 50808, 52027, 50795, 51034, 51416, 66692, 52001, 50858, 54437, 50918, 52027, 57367, 50824, 52399, 50833, 52557, 52296, 51773, 51631, 50843, 56274, 51515, 51291, 58932, 50810, 54908, 52221, 55509, 50808, 54437, 63161, 52313, 50843, 50808, 51001, 52911, 51001, 51059, 51034, 51602, 66692, 52001, 50858, 68641, 50918, 52027, 52115, 50843, 50833, 52557, 52296, 51773, 51631, 50843, 56274, 51774, 51291, 58932, 50810, 56618, 52221, 55509, 50808, 68641, 55695, 50802, 52129, 55509, 50808, 51001, 52911, 51001, 50802, 51034, 51533, 66692, 52001, 50858, 72840, 50918, 52027, 55728, 50906, 50993, 52399, 50833, 52557, 52296, 52027, 51631, 50843, 56274, 51515, 51291, 58932, 50810, 63370, 51428, 55509, 50808, 55677, 51918, 51526, 52732, 50808, 57117, 50795, 51034, 51533, 66692, 52001, 50858, 72840, 50918, 51773, 52115, 50843, 50833, 52557, 52296, 52027, 51631, 50843, 56274, 51515, 50991, 58932, 50810, 63370, 52221, 55509, 50808, 55677, 50807, 51515, 66303, 56119, 52027, 51820, 52615, 51163, 50808, 51614, 64441, 55373, 52027, 50800, 51034, 51416, 66692, 52001, 50858, 54437, 50918, 52027, 57367, 50824 ]

[ 0, 250, 1144, 26016, 3495, 1619, 2214, 3820, 19, 657, 8, 11098, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 21072, 6, 13305, 6, 8, 2382, 3459, 8669, 6, 70, 447, 561, 7, 1045, 10, 15352, 30054, 8, 33558, 5466, 6, 19, 5, 33215, 16739, 9, 381, 6, 163, 6, 83, 6, 381, 6, 163, 19983, 1328, 5, 2125, 6, 278, 11, 5, 762, 9, 381, 538, 8, 10, 7212, 204, 73, 306, 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 ]

[ 57530, 50791, 51693, 51039, 51693, 51302, 52975, 50804, 53294, 51553, 55757, 51553, 52616, 51224, 55551, 51289, 53533, 52033, 51939, 51656, 51939, 51040, 70002, 51167, 51284, 50983, 52487, 51295, 50946, 51060, 50868, 51112, 51069, 51446, 51897, 57900, 52694, 53217, 50916, 51400, 51089, 63039, 50828, 51385, 52755, 54026, 51089, 59869, 50836, 71786, 54852, 50977, 50946, 53677, 50830, 61305, 52944, 50916, 51753, 51028, 51175, 51089, 63039, 50828, 51385, 61896, 51112, 74161, 54074, 52532, 52641, 50973, 50873, 51284, 50830, 52487, 50942, 51228, 71099, 54974, 51558, 50809, 54294, 54215, 71091, 51558, 50809, 54294, 75096, 55729, 50830, 51213, 50938, 53552, 53270, 53522, 53439, 51905, 50818, 56939, 52950, 52033, 51939, 52255, 51939, 50916, 51189, 50973, 51204, 51905, 50800, 56939, 50854, 51396, 51060, 68623, 51019, 51623, 51897, 52532, 62969, 51384, 50809, 54970, 63753, 51905, 50809, 56939, 54247, 51281, 73882, 50828, 51403, 50828, 51558, 51291, 54294, 51562, 50913, 53528, 51281, 73882, 50828, 51403, 53035, 51396, 53677, 51049, 52532, 53217, 50965, 74690, 51091, 51281, 73882, 50828, 51403, 62427, 50991, 50992, 51048, 54074, 52532, 50825, 57126, 50987, 50913, 52944, 70584, 51396, 50865, 50868, 50830, 68105, 51230, 50958, 53522, 53109, 51284, 50809, 52487, 62115, 79432, 52838, 66659, 51881, 51939, 52332, 51939, 53337, 51346, 50989, 51112, 51600, 50983, 52405, 51295, 51506, 50967, 67288, 50927, 51623, 51897, 52532, 53031, 51023, 72971, 52755, 53439, 51268, 63039, 72971, 53574, 50877, 51174, 51506, 57172, 50830, 61305, 53114, 50989, 51157, 50902, 51362, 51268, 59869, 64779, 66275, 51048, 54074, 52532, 52743, 72224, 52405, 55006, 54781, 51629, 50809, 52838, 64405, 51629, 50809, 52838, 54319, 64190, 51506, 50865, 61325, 51205, 50910, 53552, 53270, 53522, 54026, 51284, 50809, 52487, 59496, 51656, 51939, 50799, 52033, 51939, 50916, 51157, 50973, 75283, 51191, 74531, 52487, 62756, 50967, 50868, 51112, 51069, 51623, 51897, 52532, 65533, 51558, 50809, 54294, 66356, 51266, 51291, 51733, 51562, 50420, 51089, 63039, 50828, 51385, 52755, 53109, 51089, 63039, 50828, 51385, 53425, 50916, 51961, 50946, 50865, 50868, 51049, 52532, 53031, 51028, 50806, 51089, 59869, 50836, 51385, 62427, 51112, 74161, 54074, 52532, 52742, 50973, 50987, 50913, 53114, 67946, 61233, 50946, 55729, 62416, 50938, 51230, 50958, 53522, 57013, 53389, 63041, 79206, 51733, 54276, 53389, 51939, 53100, 51939, 50916, 51235, 50877, 51362, 51284, 50818, 51284, 50818, 52487, 50839, 52487, 65968, 50967, 68623, 51011, 51623, 51897, 52532, 53217, 51089, 63039, 50828, 51385, 52755, 54026, 51089, 63039, 50828, 79426, 55524, 50874, 50946, 50865, 50868, 50809, 61305, 52944, 50916, 51391, 51028, 51048, 51089, 59869, 50836, 51385, 62427, 50991, 74161, 54074, 52532, 58990, 69961, 52487, 53906, 50913, 64640, 51558, 50809, 54294, 61721, 51558, 50800, 54294, 53911, 64645, 50946, 55729, 50830, 51213, 50938, 53552, 53270, 53522, 56446, 51905, 50809, 56939, 59948, 52033, 50835, 51905, 50809, 56939, 53894, 53541, 50835, 53541, 50835, 52033, 51939, 50916, 51351, 50973, 51091, 51396, 50983, 68623, 50992, 51060, 51019, 50846, 51019, 54376, 51041, 52532, 56819, 64672, 54970, 62079, 51905, 50800, 56939, 75636, 51558, 51091, 54294, 51351, 50444, 51281, 73882, 50828, 51403, 52755, 53528, 51281, 73882, 50828, 51403, 53886, 50868, 51049, 52532, 53217, 50965, 50948, 51281, 72019, 50828, 51403, 62427, 50991, 50992, 51112, 54074, 52532, 50825, 57126, 50987, 51284, 50809, 52487, 55748, 55916, 51629, 50809, 52838, 59196, 51600, 50809, 52405, 66089, 51266, 50809, 51733, 54475, 67597, 51396, 50865, 50868, 50830, 68105, 51230, 50958, 53522, 58092, 51107, 50830, 51384, 57629, 52332, 51477, 51881, 51477, 50899, 51091, 50877, 51191, 51268, 51191, 51185, 51189, 51488, 50800, 51905, 50854, 51506, 50983, 50848, 51112, 50944, 50983, 50927, 51141, 59468, 57845, 67247, 51384, 53911, 51284, 50809, 52487, 53894, 69401, 51384, 50862, 61325, 50443, 52033, 51477, 50444, 53100, 51542, 51040, 51091, 50877, 51091, 51089, 51191, 51385, 51189, 51488, 50800, 51905, 50854, 51217, 51048, 79863, 79493, 51228, 51141, 55525, 53528, 69401, 51384, 53938, 79206, 51733, 54424, 51357, 50818, 51558, 50839, 51488, 50809, 51905, 50862, 51017, 65102, 70629, 53541, 51542, 51881, 51542, 57542, 64815, 51204, 51083, 50914, 51208, 51191, 76631, 51558, 50854, 51396, 51091, 50868, 51112, 50992, 51112, 51205, 51141, 59468, 61252, 51488, 50800, 51905, 54611, 69401, 51384, 61521, 74611, 51558, 53901, 50868, 50830, 71103, 50431, 51656, 51477, 50432, 53100, 51477, 51040, 51159, 50916, 51048, 51089, 51189, 51023, 50914, 51113, 50983, 51284, 51295, 50946, 51060, 50868, 50983, 75707, 51069, 51157, 55525, 52742, 50804, 52942, 52616, 50916, 51252, 67692, 51385, 50917, 50946, 50809, 51213, 50938, 51553, 61576, 52255, 51477, 52033, 51542, 59758, 51109, 50965, 51016, 51089, 51191, 51208, 51191, 51396, 50991, 50868, 51091, 50992, 51091, 51019, 51204, 51553, 53563, 50843, 54359, 51224, 50883, 55524, 51862, 51396, 78218, 53576, 52033, 52015, 51656, 51939, 50916, 51025, 50877, 65057, 50983, 68623, 50850, 50809, 51069, 51077, 59468, 52966, 50913, 53031, 50916, 67923, 50830, 61305, 52742, 50916, 55584, 51028, 50806, 51089, 51162, 51023, 51162, 51385, 51159, 68623, 74161, 60375, 52532, 53114, 50973, 51006, 51228, 71099, 52743, 67692, 50868, 50830, 51213, 50938, 53552, 52532, 59713, 52033, 51939, 52255, 51939, 50456, 50916, 51411, 50965, 51191, 51396, 50983, 51042, 50991, 68623, 51019, 51623, 51577, 50875, 50825, 63150, 52944, 50916, 51470, 51042, 55729, 51049, 52532, 52641, 50916, 51480, 50973, 51226, 51281, 50914, 51208, 50914, 51403, 50914, 68623, 50992, 51048, 60375, 52532, 53031, 50965, 51254, 50913, 52742, 64385, 51396, 50865, 50868, 50830, 51019, 57882, 53522, 59692, 51881, 51939, 52332, 51939, 50444, 50989, 51162, 50877, 51091, 51506, 51112, 50848, 51112, 50927, 51623, 64234, 52300, 52743, 50913, 53217, 78353, 51506, 51060, 61325, 61305, 50825, 57126, 51363, 50902, 50983, 51268, 50914, 51023, 51159, 51185, 50914, 67288, 50944, 51112, 60375, 52532, 52944, 50877, 51174, 50913, 52641, 50989, 50933, 50877, 51258, 51506, 50865, 50946, 54474, 50830, 51205, 50938, 53552, 52532, 59277, 53389, 53478, 52033, 52015, 64185, 51351, 50877, 51204, 50946, 51112, 68623, 51069, 51623, 51577, 50875, 52742, 50913, 56819, 51113, 50866, 51284, 58867, 51107, 51101, 51384, 51277, 50946, 53677, 50830, 61305, 52743, 79848, 51028, 51060, 51089, 51159, 51023, 51159, 51385, 51159, 51488, 51101, 51905, 51277, 68623, 74161, 60375, 52532, 53217, 50973, 50977, 51357, 50845, 51558, 58543, 56834, 51881, 50974, 54852, 50822, 51113, 50866, 51284, 51006, 50946, 55729, 50830, 51019, 61061, 53522, 61732, 53100, 51939, 61683, 51377, 50916, 51191, 51301, 51043, 51266, 51309, 50946, 50991, 50868, 51112, 51011, 51623, 64234, 52300, 52641, 50913, 53031, 51040, 51142, 50946, 53677, 50830, 61305, 52742, 50877, 51362, 51089, 51159, 51023, 51159, 51385, 51159, 68623, 74161, 60375, 52532, 53114, 50916, 50974, 50913, 52743, 79848, 50946, 65102, 50830, 51213, 50938, 53552, 52532, 59713, 52033, 51939, 53541, 51939, 50456, 50916, 51400, 50965, 51362, 51396, 51112, 51042, 50991, 68623, 51019, 51623, 51577, 50875, 50825, 63150, 52944 ]

[ 0, 713, 14899, 3152, 2214, 6, 30291, 19, 10, 3495, 18105, 12203, 6, 22750, 1626, 11098, 8, 10563, 4, 1698, 30514, 30, 10, 1428, 12989, 2810, 9, 21072, 8, 3459, 29589, 6, 217, 2382, 8, 81, 9756, 23225, 6, 5, 2125, 11498, 10, 20902, 20889, 4, 20, 1285, 9, 10, 32909, 3639, 10, 4520, 6, 15352, 30054, 2842, 7, 5, 20425, 15229, 4, 8504, 11, 5, 762, 9, 83, 538, 8, 2329, 1843, 154, 7, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 10, 6878, 8, 7580, 1349, 31, 386, 7, 2073, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 61627, 51943, 51047, 50439, 52971, 51183, 61697, 51141, 51969, 50834, 51200, 50863, 51188, 50829, 51188, 50858, 80069, 76988, 76439, 65976, 51185, 57515, 53829, 51969, 50825, 51200, 50835, 51188, 50829, 51188, 51060, 51265, 51277, 69360, 51268, 50907, 51023, 50851, 51185, 57051, 51545, 50915, 51083, 50912, 76439, 51023, 51210, 51185, 61888, 51135, 59485, 51499, 51628, 51507, 50866, 51188, 50837, 51499, 50865, 51083, 50907, 51268, 50984, 51023, 72729, 50984, 50433, 51969, 53115, 51785, 51241, 51969, 51576, 51200, 51484, 51200, 74493, 50932, 51265, 51391, 51083, 50851, 51268, 50984, 51023, 51051, 51185, 58491, 53885, 69360, 76439, 51023, 50822, 51185, 51022, 50449, 51188, 54596, 51200, 50857, 51545, 50866, 51083, 50933, 51268, 50907, 51023, 72729, 61185, 51135, 57905, 51969, 50837, 51188, 51000, 50455, 51404, 51294, 50456, 51785, 50987, 51083, 50851, 51268, 51365, 51023, 51210, 51185, 51022, 61697, 51189, 51265, 50810, 51083, 50933, 51268, 50907, 51023, 50933, 51185, 51365, 50798, 54031, 51200, 50820, 51969, 50862, 51188, 74226, 50974, 72154, 51268, 50984, 51023, 50874, 51185, 50984, 50421, 51323, 64131, 51545, 50995, 69360, 51268, 50907, 51023, 51008, 51185, 61185, 51135, 59485, 51823, 52605, 51507, 50866, 51200, 50825, 51188, 50837, 51969, 50857, 51083, 50851, 51268, 50907, 51023, 51210, 51185, 73632, 51404, 58818, 51785, 51351, 51969, 51484, 51200, 51576, 51188, 51199, 51188, 51091, 51265, 50981, 51083, 51051, 51268, 50851, 51023, 50933, 51185, 63834, 53885, 72154, 76439, 51023, 51051, 51185, 54626, 51200, 50820, 51969, 50857, 51545, 74786, 50933, 51268, 64777, 51008, 51185, 56485, 51179, 57905, 51188, 54583, 51785, 50901, 51083, 50851, 51268, 50907, 51023, 51051, 51185, 51022, 61697, 51191, 51188, 50858, 60317, 51083, 51008, 51268, 50874, 51023, 51008, 51185, 54923, 54031, 51969, 50820, 51200, 50834, 51188, 50834, 51188, 50937, 51265, 50974, 51083, 50933, 51268, 64777, 50933, 51185, 52580, 51499, 50854, 51545, 50995, 51083, 50933, 51268, 50907, 51023, 51008, 51185, 51524, 56239, 53644, 51507, 50987, 51969, 50837, 51200, 50837, 51188, 50870, 51499, 50905, 51083, 50933, 51268, 50907, 51023, 50912, 51185, 51022, 50437, 51200, 51253, 51188, 59612, 51785, 51351, 51969, 51576, 51200, 51267, 51265, 50932, 51083, 50933, 51268, 50874, 51023, 51051, 51185, 58491, 53885, 69360, 51268, 50907, 51023, 50933, 51185, 60801, 51969, 50835, 51200, 50825, 51188, 50864, 51499, 50849, 51545, 51328, 51083, 50851, 51268, 50851, 51023, 50933, 51185, 69372, 51179, 53650, 51785, 50905, 51188, 51013, 51083, 50912, 51268, 50984, 51023, 50959, 51185, 51123, 61697, 51191, 51265, 50810, 51083, 50933, 51268, 50907, 51023, 50933, 51185, 53970, 63267, 51404, 52734, 51969, 50834, 51200, 50837, 51188, 50855, 51265, 50838, 51083, 51051, 51268, 50851, 51023, 50933, 51185, 76785, 51404, 67297, 51545, 51380, 51083, 50933, 51268, 50851, 51023, 51051, 51185, 61888, 51179, 53644, 51507, 50955, 51969, 50857, 51188, 50810, 51083, 51008, 51268, 64777, 50933, 51185, 50984, 50433, 51200, 52904, 51785, 51115, 51188, 50857, 51969, 51542, 51200, 51419, 51265, 51097, 51083, 51008, 51268, 50851, 51023, 50959, 51185, 58491, 53675, 51083, 50933, 76439, 51023, 51142, 51185, 56104, 53533, 51188, 50855, 51545, 51006, 51083, 50912, 51268, 50984, 51023, 50933, 51185, 56485, 51179, 53650, 51785, 51008, 69360, 76439, 51023, 50822, 77861, 50799, 52314, 50948, 51507, 51141, 80069, 76988, 76439, 65976, 51185, 57515, 53829, 52314, 50859, 51188, 51194, 51200, 51412, 51823, 51255, 51265, 51277, 69360, 51268, 50907, 51023, 50851, 51185, 57051, 52314, 50795, 51545, 50915, 51083, 50912, 76439, 51023, 51210, 51185, 61888, 51135, 52975, 51744, 50859, 51507, 50866, 51083, 50907, 51268, 50984, 51023, 72729, 56006, 74261, 51785, 51241, 51200, 50981, 51188, 50915, 51823, 50915, 51265, 51391, 51083, 50851, 51268, 50984, 51023, 51051, 51185, 58491, 53885, 69360, 76439, 51023, 50822, 51185, 55814, 51545, 50866, 51083, 50933, 51268, 50907, 51023, 72729, 61185, 51135, 53563, 52314, 50858, 51785, 50987, 51083, 50851, 51268, 51365, 51023, 51210, 51185, 51022, 50799, 52314, 50893, 51507, 51189, 51265, 50810, 51083, 50933, 51268, 50907, 51023, 50933, 51185, 51365, 50798, 54031, 52314, 50800, 51188, 51194, 51823, 51043, 51200, 51203, 51265, 50974, 72154, 51268, 50984, 51023, 50874, 51185, 55070, 52314, 50879, 51545, 50995, 69360, 51268, 50907, 51023, 51008, 51185, 61185, 51135, 52975, 51744, 50858, 51507, 50866, 51083, 50851, 51268, 50907, 51023, 51210, 51185, 54584, 51485, 51226, 51785, 51351, 51265, 50981, 51083, 51051, 51268, 50851, 51023, 50933, 51185, 63834, 59764, 51200, 50995, 51188, 50981, 51823, 59242, 72154, 76439, 51023, 51051, 51185, 54626, 51545, 74786, 50933, 51268, 64777, 51008, 51185, 56485, 51179, 53563, 51785, 50901, 51083, 50851, 51268, 50907, 51023, 51051, 51185, 51022, 50799, 52314, 50858, 51507, 51191, 60317, 51083, 51008, 51268, 50874, 51023, 51008, 51185, 54923, 64174, 51200, 51363, 51188, 51203, 51823, 51203, 50420, 52314, 50800, 51265, 50974, 51083, 50933, 51268, 64777, 50933, 51185, 52580, 52314, 50879, 51545, 50995, 51083, 50933, 51268, 50907, 51023, 51008, 51185, 51524, 56239, 53644, 51744, 50952, 51507, 50987, 51083, 50933, 51268, 50907, 51023, 50912, 51185, 51022, 50437, 51823, 50981, 51200, 56656, 51485, 50879, 51785, 51351, 51188, 51097, 51265, 50932, 51083, 50933, 51268, 50874, 51023, 51051, 51185, 58491, 53885, 51485, 50859, 69360, 51268, 50907, 51023, 50933, 51185, 60801, 52061, 50924, 51545, 51328, 51083, 50851, 51268, 50851, 51023, 50933, 51185, 69372, 51179, 53650, 51485, 50858, 51507, 50905, 51083, 50912, 51268, 50984, 51023, 50959, 51185, 51123, 64934, 50896, 51785, 51241, 51726, 50829, 51495, 50971, 51089, 60686, 54897, 63632, 51726, 51337, 51023, 51524, 51495, 50912, 51089, 54711, 51943, 51043, 51404, 51043, 51200, 51363, 50425, 51023, 64586, 51990, 50995, 51495, 51142, 51089, 56485, 51135, 52975, 51785, 50878, 51023, 51142, 51495, 51210, 51089, 69658, 51860, 51191, 51943, 50995, 51726, 50995, 51089, 51051, 51495, 51365, 51023, 51365, 50798, 59764, 51200, 50995, 51404, 56306, 51089, 51142, 51023, 51210, 50445, 51495, 71940, 51990, 51212, 51023, 51142, 51089, 61185, 51135, 57905, 51495, 50984, 50455, 51860, 60077, 51023, 51051, 51495, 51210, 78985, 67659, 50858, 51785, 51351, 51726, 50822, 51495, 51210, 76432, 61174, 64174, 51200, 51775, 51943, 51025, 51404, 51480, 50420, 51744, 50859, 51089, 51051, 51495, 51365, 51023, 65369, 51726, 64570, 51744, 50952, 51990, 50995, 51023, 51051, 51495, 50984, 51089, 56485, 51135, 52975, 51485, 50859, 67365, 51495, 51210, 51023, 51142, 50433, 51785, 59983, 51485, 50879, 51860, 51351, 51200, 50981, 51726, 51097, 67365, 51495, 51123, 51023, 77477, 59764, 51943, 50915, 51404, 61112, 52061, 50849, 51089, 50907, 51023, 63107, 51495, 56881, 51990, 50892, 78985, 51495, 50907, 51023, 50933, 56239, 53563, 52061, 50833, 51860, 50844, 51495, 50874, 51089, 50864, 51023, 50874, 67659, 50858, 51785, 51241, 51726, 50829, 51495, 50971, 51089, 60686, 54897, 64174, 51726, 51337, 51023, 51524, 51495, 50912, 51089, 54711, 51744, 50879, 51943, 51043, 51404, 51043, 51200, 51363, 50425, 51023, 64586, 51485, 50940, 51990, 50995, 51495, 51142, 51089 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 13305, 6, 21979, 8669, 6, 38668, 22052, 6, 6755, 12547, 6, 8, 31391, 1672, 9590, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 11956, 38451, 3938, 20889, 4, 20, 33215, 16739, 9, 163, 35470, 757, 6, 3676, 6, 8, 230, 119, 1176, 406, 3639, 10, 2216, 12117, 7, 42, 2125, 6, 61, 5723, 10, 12405, 1619, 16464, 6, 442, 24, 10686, 13, 3618, 50, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 51349, 51496, 71869, 53389, 52988, 51131, 50978, 68103, 50998, 65220, 55023, 61531, 57798, 56691, 58315, 51789, 50940, 58060, 52071, 51190, 50994, 59795, 53906, 50968, 52069, 51789, 51486, 78986, 50986, 51174, 50998, 50978, 51190, 50994, 56136, 52658, 51349, 50821, 50999, 51692, 65069, 59734, 50994, 59795, 50808, 54585, 51029, 51976, 53611, 57772, 53103, 51131, 50978, 68103, 50998, 50978, 50913, 50836, 51190, 52492, 50450, 50913, 67344, 78622, 50456, 51349, 51045, 67519, 51131, 50978, 50986, 51174, 50913, 53672, 67308, 50461, 51565, 50833, 54281, 51274, 51374, 51274, 50965, 52151, 50973, 52069, 50951, 52071, 50899, 52071, 50913, 53672, 51049, 56095, 50420, 51574, 51542, 51846, 51542, 50960, 51381, 50929, 51542, 50913, 50840, 51190, 52492, 50421, 55148, 52528, 50422, 53541, 52916, 50426, 51565, 51472, 50903, 59734, 50994, 57772, 64222, 51615, 52431, 50432, 51374, 51138, 50913, 53243, 67308, 58711, 51661, 51910, 51661, 51574, 50974, 51846, 50838, 50960, 51166, 57662, 50913, 53345, 51049, 56095, 50444, 51606, 51221, 50913, 71074, 78516, 50450, 51574, 50974, 51846, 50838, 50960, 51166, 57662, 50913, 50840, 71005, 50454, 51789, 54143, 50456, 51374, 51030, 51374, 51030, 50913, 53345, 56558, 56159, 50458, 53389, 68085, 54468, 51496, 71869, 68103, 50998, 50978, 50947, 50978, 50913, 53345, 55023, 61531, 71622, 50415, 52133, 56329, 52033, 57232, 53181, 52179, 58060, 52071, 50913, 50840, 51190, 52492, 50426, 50968, 52069, 50986, 51174, 50998, 50978, 50947, 58831, 50840, 71005, 50431, 50913, 54937, 51349, 50821, 50999, 51692, 65069, 78516, 54585, 51300, 50913, 53672, 51049, 56095, 50443, 50913, 55489, 68103, 50998, 50978, 50947, 50978, 51190, 52492, 50450, 53541, 76942, 71074, 78622, 50455, 50913, 54166, 51349, 51045, 53541, 51748, 67519, 50986, 51174, 50947, 65220, 67308, 50457, 51615, 51748, 50460, 51606, 61243, 50913, 50887, 54281, 51196, 50965, 52151, 50973, 52069, 50951, 52071, 50899, 52071, 51565, 52423, 51049, 56095, 50419, 50913, 54402, 51574, 51542, 51846, 51542, 50960, 51381, 50929, 51542, 51190, 52492, 50425, 52033, 55856, 50913, 54818, 51565, 51295, 50903, 78622, 50431, 50913, 50840, 53782, 67308, 50437, 50913, 50840, 58711, 51661, 51910, 51661, 51574, 50974, 51846, 50838, 50960, 51166, 57662, 70718, 50443, 50913, 55489, 50903, 78516, 50445, 51606, 54211, 50449, 50913, 55268, 51574, 50974, 51846, 50838, 50960, 51166, 57662, 71005, 50455, 50913, 54166, 51374, 51030, 51374, 51030, 66871, 56159, 50459, 52133, 77898, 50460, 53389, 54270, 50461, 51789, 51748, 50913, 50840, 54468, 51496, 71869, 51131, 51006, 68103, 50947, 50978, 50998, 66667, 55023, 61531, 71622, 50415, 53615, 66179, 50913, 54507, 50876, 52071, 51190, 52492, 50425, 50913, 54818, 50968, 52069, 50998, 51006, 50986, 51174, 50947, 50892, 71005, 50431, 53615, 55748, 53810, 51349, 50821, 50999, 51692, 65069, 78516, 50437, 50913, 50887, 54585, 51029, 70718, 50440, 51656, 78927, 50443, 50913, 54400, 68103, 50998, 51006, 50947, 50978, 51190, 52492, 50449, 50913, 50840, 51955, 78622, 50451, 53615, 60233, 50913, 54166, 51349, 51045, 50986, 51174, 50998, 51006, 50947, 65220, 67308, 54468, 51496, 50913, 53345, 51049, 56095, 61683, 57911, 59375, 75987, 50887, 51190, 52492, 53523, 51077, 50916, 74114, 51077, 50913, 67343, 59734, 51035, 52406, 50608, 52209, 51349, 54976, 53345, 55629, 58290, 59210, 54360, 51552, 69236, 50947, 51142, 50998, 61350, 53345, 51049, 56095, 50444, 52012, 51365, 50913, 67343, 78516, 50445, 53615, 53068, 50986, 51051, 50998, 51006, 78962, 50913, 50840, 71005, 50456, 51349, 77384, 53345, 67308, 59373, 51362, 50871, 52151, 50877, 52069, 50902, 52071, 50899, 52071, 53092, 50838, 51131, 51079, 50960, 51484, 50970, 60745, 55023, 50812, 57387, 56691, 58315, 53615, 65597, 53541, 60237, 50417, 51881, 52916, 50418, 51743, 64880, 56063, 50836, 51190, 52492, 50426, 51131, 51376, 50960, 51484, 66980, 50913, 50840, 71005, 50432, 51910, 53540, 53345, 61319, 59734, 50994, 54592, 50608, 57320, 51596, 51043, 58711, 51343, 53092, 58543, 53345, 51049, 56095, 50444, 51131, 51006, 59638, 71658, 50913, 50840, 51190, 52492, 50445, 51789, 51709, 50449, 50913, 50840, 51955, 59734, 51035, 52406, 50608, 61250, 51596, 51337, 50913, 54166, 51910, 70146, 67308, 50460, 55148, 56599, 53541, 55490, 50461, 50913, 50840, 54281, 53177, 50312, 52151, 50973, 52069, 50931, 52071, 50899, 52071, 51606, 51445, 51574, 51079, 51846, 51079, 69947, 77661, 70718, 50415, 52033, 52503, 50419, 50913, 71417, 56159, 50425, 50913, 53548, 53615, 56088, 78622, 50427, 65813, 51574, 51079, 51846, 51079, 77661, 50431, 50913, 53810, 51374, 56702, 67308, 50437, 50913, 50840, 58711, 51343, 70718, 50443, 51574, 55200, 51846, 50892, 50970, 58831, 67343, 59734, 50994, 54592, 50608, 58953, 50960, 58369, 50913, 50887, 71005, 50456, 51374, 54976, 53345, 67308, 54281, 51274, 50899, 51481, 50861, 51481, 50906, 51481, 50968, 51481, 51246, 51803, 50801, 55023, 50812, 57387, 53963, 58315, 53615, 53223, 50960, 54829, 51190, 52492, 50421, 52033, 63712, 51615, 63712, 51863, 58728, 50426, 50998, 51447, 60483, 52406, 50608, 50841, 51532, 52658, 51374, 69266, 52919, 50861, 52919, 50906, 52919, 50968, 52919, 50929, 51318, 65069, 78516, 57124, 51552, 70718, 50444, 51789, 51645, 51574, 51680, 53615, 54726, 56159, 50450, 51246, 51749, 50903, 78622, 50453, 51596, 52482, 50456, 51727, 50890, 50960, 51824, 50998, 51365, 50929, 51376, 50801, 67308, 50461, 52671, 51449, 54281, 51496, 70718, 50415, 53615, 52761, 50960, 51466, 50998, 50932, 50929, 51330, 51190, 52492, 51768, 78622, 50432, 51374, 50840, 51246, 51852, 50801, 55629, 50994, 54592, 50608, 50841, 57124, 50896, 68354, 74963, 69695, 70718, 50444, 51246, 52782, 50903, 78516, 50450, 51727, 51173, 50960, 51254, 65026, 69695, 53615, 51406, 61247, 65095, 67308, 50461, 53100, 54270, 54468, 51496, 51131, 51803, 50801, 55023, 60322, 52127, 50420, 52033, 73728, 51317, 54829, 51190, 52492, 50426, 50998, 51447, 53615, 51239, 61247, 50432, 51349, 50821, 50929, 51318, 65069, 78516, 50433, 51615, 69103, 54360, 51029, 70718, 50444, 52012, 51680, 50852, 53869, 54592, 50608, 52725, 51131, 51749, 50903, 78622, 50453, 51863, 59189, 50456, 51374, 51045, 51317, 51824, 50998, 51365, 50929, 51376, 51064, 79198, 67308, 54468, 51496, 52052, 51151, 70718, 50415, 53615, 53223, 51430, 51939, 51317, 51466, 50998, 50932, 50929, 51330, 51064, 51174, 51190, 52492, 50426, 51399, 51677, 50903, 59734, 51035, 52406, 50608, 52667, 51349, 50882, 50951, 51680, 51131, 51852, 50801, 67308, 54585, 51552, 51317, 51432, 74963, 69695, 70718, 50444, 50906, 51542, 51131, 52782, 50903, 78516, 50445, 53615, 52725, 51317, 51254, 65026, 69695, 71005, 50456, 51349, 70146, 67308, 53447, 51496, 50900, 51481, 50916, 51481, 50871, 51481, 50877, 51481, 50970, 52063, 50801, 55023, 60322, 52127, 50415, 50947, 52063, 53615, 64301, 51292, 51884, 51039, 56159, 50426, 71658, 50947, 51174, 51292, 51376, 71005, 50427, 53615, 65416, 51743, 50359, 50411, 51532, 52658, 51349, 51196, 50900, 52919, 50916, 52919, 50871, 52919, 50877, 52919, 65069, 78516, 50433, 51656, 63034, 50435, 51881, 63034, 75282, 56095, 50444, 51444, 51753, 51190, 52492, 50450, 51131, 51481, 50903, 59734, 51035, 52406, 50608, 52881, 51844, 51650, 67308, 50457, 50970, 51484, 50947 ]

[ 0, 4688, 14899, 5175, 3495, 2214, 4246, 21979, 8669, 6, 38668, 483, 6, 8, 2236, 1021, 2678, 29, 6, 7513, 30, 21072, 8, 8669, 31391, 6496, 4, 590, 10, 20889, 9, 17235, 163, 5683, 6, 24, 18, 278, 11, 10, 204, 73, 306, 86, 6543, 8, 5, 762, 9, 163, 3694, 4, 20, 33301, 16, 33928, 8, 31612, 6, 7630, 14805, 10, 2365, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 77629, 50799, 61236, 57974, 55723, 51468, 50799, 55612, 51196, 52055, 51082, 50895, 51302, 56340, 53414, 50895, 51974, 59658, 54292, 52998, 67114, 52055, 51082, 50895, 51382, 56340, 53414, 50895, 50799, 53907, 51196, 52055, 51082, 50895, 51302, 56340, 53414, 50895, 51974, 59658, 54292, 56201, 67114, 52055, 51082, 50895, 51382, 56340, 53414, 50895, 50799, 59090, 51196, 52055, 51082, 50895, 51302, 56340, 53414, 50895, 51974, 59658, 54292, 53907, 67114, 52055, 51082, 50895, 51382, 56340, 53414, 50895, 50799, 52998, 51469, 52055, 51082, 50895, 51302, 56340, 53414, 50895, 51974, 59658, 53885, 52055, 51082, 50895, 51382, 56340, 53414, 50895, 61281, 50894, 51042, 50962, 55612, 51196, 52055, 51082, 50895, 50771, 50296, 50894, 50771, 50303, 50962, 50421, 51217, 74713, 50376, 54130, 76856, 50820, 50771, 50296, 50834, 50771, 50303, 52928, 51217, 50835, 51042, 54518, 56340, 53414, 50895, 50771, 50296, 50835, 50771, 50303, 52818, 51217, 50882, 51042, 52965, 50558, 54200, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 55381, 52998, 67114, 51217, 50882, 51042, 52965, 50558, 54200, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 54988, 51217, 50884, 51042, 54866, 56340, 53414, 50895, 50771, 50296, 50884, 50771, 50303, 50884, 61281, 50894, 51042, 50962, 53907, 51196, 52055, 51082, 50895, 50771, 50296, 50894, 50771, 50303, 50962, 50421, 51217, 74713, 50376, 54130, 76856, 50820, 50771, 50296, 50834, 50771, 50303, 52928, 51217, 50835, 51042, 54518, 56340, 53414, 50895, 50771, 50296, 50835, 50771, 50303, 52818, 51217, 50882, 51042, 52965, 50558, 54200, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 55381, 56201, 67114, 51217, 50882, 51042, 52965, 50558, 54200, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 54988, 51217, 50884, 51042, 54866, 56340, 53414, 50895, 50771, 50296, 50884, 50771, 50303, 50884, 61281, 50894, 51042, 50962, 59090, 51196, 52055, 51082, 50895, 50771, 50296, 50894, 50771, 50303, 50962, 50421, 51217, 74713, 50376, 54130, 76856, 50820, 50771, 50296, 50834, 50771, 50303, 52928, 51217, 50835, 51042, 54518, 56340, 53414, 50895, 50771, 50296, 50835, 50771, 50303, 52818, 51217, 50882, 51042, 52965, 50558, 54200, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 55381, 53907, 67114, 51217, 50882, 51042, 52965, 50558, 54200, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 54988, 51217, 50884, 51042, 54866, 56340, 53414, 50895, 50771, 50296, 50884, 50771, 50303, 50884, 61281, 50894, 51042, 50962, 56201, 51469, 52055, 51082, 50895, 50771, 50296, 50894, 50771, 50303, 50962, 50421, 51217, 74713, 50376, 54130, 76856, 50820, 50771, 50296, 50834, 50771, 50303, 52928, 51217, 50835, 51042, 54518, 56340, 53414, 50895, 50771, 50296, 50835, 50771, 50303, 52818, 51217, 50882, 51042, 52965, 50558, 54200, 77342, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 55381, 50770, 50308, 51870, 50444, 51217, 50882, 51042, 52965, 50558, 54200, 63310, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 54988, 51217, 50884, 51042, 54866, 54094, 52538, 59534, 50895, 50771, 50296, 50884, 50771, 50303, 50884, 53400, 51388, 51992, 51030, 51217, 50894, 51042, 50962, 64437, 51014, 71329, 53317, 50895, 50771, 50296, 50894, 50771, 50303, 57188, 51971, 74592, 51217, 50835, 51042, 54518, 56340, 53414, 50895, 50771, 50296, 50835, 50771, 50303, 52818, 66827, 51992, 51235, 51217, 50882, 51042, 50882, 64437, 51014, 52055, 51082, 50895, 50771, 50296, 50882, 50771, 50303, 55920, 51971, 51235, 51217, 50882, 51042, 50882, 64437, 51014, 52055, 51082, 50895, 50771, 50296, 50882, 50771, 50303, 50882, 51382, 56340, 53414, 53650, 51992, 51013, 50799, 58670, 51014, 52055, 51082, 54031, 52235, 51215, 51302, 56340, 53414, 53644, 52235, 51227, 58670, 51014, 52055, 51082, 53885, 58670, 51014, 52055, 51082, 50895, 51382, 56340, 53414, 53650, 51971, 50936, 50799, 52678, 50936, 62423, 51014, 52055, 51082, 54031, 51971, 51158, 51302, 56340, 53414, 53644, 52678, 51160, 62423, 51014, 52055, 51082, 53885, 51971, 51192, 62423, 51014, 52055, 51082, 50895, 51382, 56340, 53414, 53650, 52678, 51290, 50799, 64437, 51014, 52055, 51082, 54031, 51992, 51286, 51302, 56340, 53414, 53644, 51992, 51016, 64437, 51014, 52055, 51082, 53885, 64437, 51014, 52055, 51082, 50895, 51382, 56340, 53414, 53650, 51971, 50921, 53400, 51388, 51992, 51167, 51217, 50894, 51042, 50962, 64437, 51014, 52055, 51082, 50895, 50771, 50296, 50894, 50771, 50303, 56667, 51971, 50967, 51217, 50835, 51042, 54518, 56340, 53414, 50895, 50771, 50296, 50835, 50771, 50303, 52818, 66827, 51217, 50882, 51042, 50882, 64437, 51014, 52055, 51082, 50895, 50771, 50296, 50882, 50771, 50303, 55381, 51992, 52692, 51971, 51116, 51217, 50882, 51042, 50882, 64437, 51014, 52055, 51082, 50895, 50771, 50296, 50882, 50771, 50303, 50882, 51382, 56340, 53414, 53650, 51992, 51227, 50799, 58670, 51014, 52055, 51082, 54031, 52235, 51160, 51302, 56340, 53414, 53644, 52678, 51274, 58670, 51014, 52055, 51082, 53885, 58670, 51014, 52055, 51082, 53595, 52678, 56764, 56340, 53414, 53650, 52678, 50812, 50799, 52678, 50893, 62423, 51014, 52055, 51082, 54031, 52678, 58069, 51971, 54172, 56340, 53414, 53644, 51971, 51173, 62423, 51014, 52055, 51082, 53885, 51971, 50830, 62423, 51014, 52055, 51082, 53595, 51760, 53661, 56340, 53414, 53650, 51971, 51226, 50799, 64437, 51014, 52055, 51082, 50895, 51302, 56340, 53414, 53644, 64437, 51014, 52055, 51082, 53885, 64437, 51014, 52055, 51082, 50895, 51382, 56340, 53414, 50895, 53400, 51014, 51992, 51379, 51217, 50894, 51042, 76250, 71488, 50962, 50935, 50962, 64437, 51014, 52055, 51082, 50895, 50771, 50296, 50894, 50771, 50303, 50962, 64798, 50962, 67377, 50962, 72133, 50962, 50421, 51217, 74713, 62338, 59947, 61442, 50376, 54130, 76856, 50820, 50771, 50296, 50834, 50771, 50303, 50834, 64798, 50834, 67377, 50834, 72133, 52928, 51971, 51215, 51217, 50835, 51042, 60722, 59947, 61442, 54617, 56340, 53414, 50895, 50771, 50296, 50835, 50771, 50303, 50835, 64798, 50834, 67377, 50834, 72133, 53063, 51019, 51014, 51217, 50882, 51042, 65894, 71488, 50962, 50935, 50962, 64437, 51014, 52164, 54200, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 50882, 64798, 50962, 67377, 50962, 72133, 59266, 51992, 62789, 51019, 51014, 51971, 51013, 51217, 50882, 51042, 65894, 59947, 61442, 50834, 64437, 51014, 52164, 54200, 59658, 50895, 50771, 50296, 50882, 50771, 50303, 50882, 64798, 50834, 67377, 50834, 72133, 53057, 51217, 50884, 51042, 69543, 71488, 50962, 50935, 56106, 56340, 53414, 50895, 50771, 50296, 50884, 50771, 50303, 50884, 64798, 50962, 67377, 50962, 72133, 76336, 51217, 74713, 62338, 59947, 61442, 50834, 50771, 50296, 50834, 50771, 50303, 50834, 64798, 50834, 67377, 50834, 72133, 50834, 53870, 51014, 51992, 51427, 51751, 50894, 51042, 50962, 50979, 71488, 50962, 50935, 50962, 58670, 51014, 52055, 51082, 50895, 50771, 50295, 50894, 50771, 50303, 50962, 80016, 50962, 67377, 50962, 72133, 50962, 50421, 51751, 74713, 63431, 59947, 61442, 50376, 54130, 76856, 50820, 50771, 50295, 50834, 50771, 50303, 50834, 80016, 50834, 67377, 50834, 72133, 52928, 52235, 51160, 51751, 50835, 51042, 50835, 50979, 59947, 61442, 54617, 56340, 53414, 50895, 50771, 50295, 50835, 50771, 50303, 50835, 80016, 50834, 67377, 50834, 72133, 53063, 51105, 51014, 51751, 50882 ]

[ 0, 250, 765, 6, 20425, 15855, 2125, 19, 5175, 4785, 6, 4246, 10, 13305, 816, 34879, 11, 10, 1769, 27841, 139, 20889, 4, 20, 2214, 16, 11, 5, 762, 9, 230, 10431, 538, 8, 34, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 33215, 16739, 9, 274, 119, 6, 163, 43531, 6, 230, 6, 230, 10431, 6, 8, 163, 43531, 401, 4, 20, 6711, 7630, 6568, 10, 25306, 8, 2829, 2933, 5466, 150, 6780, 10, 1472, 9, 11098, 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 ]

[ 67004, 62291, 66920, 51097, 67004, 50997, 51671, 51040, 51313, 50906, 55126, 50877, 52688, 50906, 55544, 50877, 52718, 50906, 51097, 56415, 51097, 55881, 51243, 50989, 55126, 50965, 52688, 50989, 55544, 50871, 52718, 50956, 59124, 50989, 51097, 54197, 51243, 56207, 55544, 50906, 52718, 50876, 51097, 56415, 51097, 55435, 51243, 50956, 58187, 51040, 57937, 50906, 51244, 59130, 51243, 50906, 58187, 51028, 51712, 50326, 55544, 50876, 60472, 52718, 51028, 51712, 50326, 61112, 50876, 52985, 50906, 64369, 62214, 51028, 50838, 55881, 51243, 50906, 51911, 50322, 55126, 51147, 52688, 50876, 52019, 50322, 55544, 50931, 52718, 51028, 78603, 61112, 50876, 52985, 50906, 51712, 50322, 62214, 50877, 50838, 54197, 51243, 50876, 55126, 51028, 52688, 51001, 74992, 55544, 50876, 64079, 52718, 50931, 51712, 50328, 61112, 51001, 52985, 51028, 64369, 62214, 50876, 50838, 55435, 51243, 50906, 76452, 50995, 57340, 52688, 50906, 71277, 51097, 59409, 52718, 51028, 51712, 50326, 51244, 75795, 52985, 50906, 56711, 50965, 50838, 59130, 75286, 51911, 50326, 58187, 51378, 71277, 52019, 50329, 55544, 51050, 65348, 52718, 51378, 52019, 50322, 51244, 51399, 56391, 51062, 52985, 51360, 52019, 50326, 56711, 51399, 50838, 54868, 72169, 51911, 50327, 60726, 51315, 52688, 51120, 64535, 52019, 50330, 55544, 51360, 51260, 50329, 52718, 51324, 70062, 51244, 51146, 56391, 51399, 52985, 51120, 52019, 50327, 56711, 50999, 50838, 62856, 55126, 50999, 52688, 51050, 71277, 51712, 50327, 55544, 51378, 57777, 65505, 52718, 51176, 78172, 51712, 50329, 56391, 50902, 74984, 52985, 51360, 52019, 50317, 74992, 56711, 50973, 65505, 50838, 58066, 64924, 51911, 50322, 55126, 50931, 52688, 51279, 65521, 52019, 50322, 55544, 51147, 52718, 51378, 51244, 51028, 52019, 50325, 56391, 51147, 52985, 51028, 51712, 50322, 56711, 50973, 58903, 50838, 54868, 51243, 50989, 64924, 55126, 51114, 52688, 50989, 64369, 55544, 50871, 67646, 52718, 50989, 52019, 50325, 56391, 51114, 52985, 51040, 79018, 56711, 51114, 50838, 58066, 51243, 50899, 60379, 55126, 50916, 67646, 52688, 50899, 64369, 55544, 51040, 67646, 52718, 51086, 52019, 50325, 56391, 51114, 52985, 50899, 79018, 56711, 51114, 50838, 57497, 51243, 51028, 55126, 50931, 52688, 50871, 78603, 55544, 50989, 57643, 52718, 50637, 50965, 52019, 50324, 68861, 50637, 50444, 50637, 50931, 57060, 50637, 50450, 50637, 51040, 75514, 70184, 50636, 50456, 50636, 50931, 56517, 50636, 59130, 51243, 51086, 51911, 50329, 67943, 50637, 50420, 51146, 52688, 51399, 51764, 50301, 51097, 50428, 51405, 56789, 51399, 61924, 51405, 53998, 51220, 52718, 50989, 51244, 50999, 56391, 51147, 52985, 51114, 56711, 50931, 50838, 56310, 50995, 56040, 52019, 50322, 55544, 50931, 52718, 50989, 51244, 51114, 59124, 51028, 51097, 58526, 50995, 53337, 52019, 50322, 55544, 50931, 52718, 50989, 51244, 51114, 59124, 51028, 51097, 58526, 55174, 51040, 55174, 50871, 53478, 51028, 52826, 50796, 62291, 66920, 51097, 67004, 50997, 51671, 51040, 51313, 50906, 55126, 50877, 52688, 50906, 55544, 50877, 52718, 50906, 51097, 56415, 51097, 55881, 51243, 50989, 55126, 50965, 52688, 50989, 55544, 50871, 52718, 50956, 59124, 50989, 51097, 54197, 51243, 56207, 55544, 50906, 52718, 50876, 51097, 56415, 51097, 55435, 51243, 50956, 58187, 51040, 57937, 50906, 51244, 59130, 51243, 50906, 58187, 51028, 51712, 50326, 55544, 50876, 60472, 52718, 51028, 51712, 50326, 61112, 50876, 52985, 50906, 64369, 62214, 51028, 50838, 55881, 51243, 50906, 51911, 50322, 55126, 51147, 52688, 50876, 52019, 50322, 55544, 50931, 52718, 51028, 78603, 61112, 50876, 52985, 50906, 51712, 50322, 62214, 50877, 50838, 54197, 51243, 50876, 55126, 51028, 52688, 51001, 74992, 55544, 50876, 64079, 52718, 50931, 51712, 50328, 61112, 51001, 52985, 51028, 64369, 62214, 50876, 50838, 55435, 51243, 50906, 76452, 50995, 57340, 52688, 50906, 71277, 51097, 59409, 52718, 51028, 51712, 50326, 51244, 75795, 52985, 50906, 56711, 50965, 50838, 59130, 75286, 51911, 50326, 58187, 51378, 71277, 52019, 50329, 55544, 51050, 65348, 52718, 51378, 52019, 50322, 51244, 51399, 56391, 51062, 52985, 51360, 52019, 50326, 56711, 51399, 50838, 54868, 72169, 51911, 50327, 60726, 51315, 52688, 51120, 64535, 52019, 50330, 55544, 51360, 51260, 50329, 52718, 51324, 70062, 51244, 51146, 56391, 51399, 52985, 51120, 52019, 50327, 56711, 50999, 50838, 62856, 55126, 50999, 52688, 51050, 71277, 51712, 50327, 55544, 51378, 57777, 65505, 52718, 51176, 78172, 51712, 50329, 56391, 50902, 74984, 52985, 51360, 52019, 50317, 74992, 56711, 50973, 65505, 50838, 58066, 64924, 51911, 50322, 55126, 50931, 52688, 51279, 65521, 52019, 50322, 55544, 51147, 52718, 51378, 51244, 51028, 52019, 50325, 56391, 51147, 52985, 51028, 51712, 50322, 56711, 50973, 58903, 50838, 54868, 51243, 50989, 64924, 55126, 51114, 52688, 50989, 64369, 55544, 50871, 67646, 52718, 50989, 52019, 50325, 56391, 51114, 52985, 51040, 79018, 56711, 51114, 50838, 58066, 51243, 50899, 60379, 55126, 50916, 67646, 52688, 50899, 64369, 55544, 51040, 67646, 52718, 51086, 52019, 50325, 56391, 51114, 52985, 50899, 79018, 56711, 51114, 50838, 57497, 51243, 51028, 55126, 50931, 52688, 50871, 78603, 55544, 50989, 57643, 52718, 50637, 50965, 52019, 50324, 68861, 50637, 50444, 50637, 50931, 57060, 50637, 50450, 50637, 51040, 75514, 70184, 50636, 50456, 50636, 50931, 56517, 50636, 59130, 51243, 51086, 51911, 50329, 67943, 50637, 50420, 51146, 52688, 51399, 51764, 50301, 51097, 50428, 51405, 56789, 51399, 61924, 51405, 53998, 51220, 52718, 50989, 51244, 50999, 56391, 51147, 52985, 51114, 56711, 50931, 50838, 56310, 50995, 56040, 52019, 50322, 55544, 50931, 52718, 50989, 51244, 51114, 59124, 51028, 51097, 58526, 50995, 53337, 52019, 50322, 55544, 50931, 52718, 50989, 51244, 51114, 59124, 51028, 51097, 58526, 55174, 51040, 55174, 50871, 53478, 51028, 52826, 50796, 62291, 66920, 51097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 33928, 8, 33558, 5175, 1619, 2214, 19, 3495, 16882, 6, 4246, 10, 18558, 6, 31391, 1672, 9590, 6, 3459, 8669, 6, 13305, 6, 8, 228, 438, 4781, 2088, 6757, 6, 70, 447, 561, 7, 1045, 10, 15352, 30054, 8, 17627, 17274, 5466, 6, 19, 5, 33215, 16739, 3676, 406, 6, 1918, 406, 6, 211, 119, 406, 6, 8, 272, 406, 1271, 7, 5, 12298, 619, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 20902, 12447, 1001, 20889, 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 ]

[ 57739, 72721, 50810, 51132, 50910, 52842, 54352, 51239, 62238, 66178, 55429, 51129, 51544, 53461, 58032, 51842, 50434, 50852, 54114, 51614, 51535, 51181, 51413, 52364, 51627, 53552, 51129, 50442, 52008, 50446, 51842, 51899, 51139, 50908, 56403, 73966, 51774, 50867, 51338, 50833, 53165, 55642, 51239, 50908, 50799, 51842, 50418, 50852, 58115, 51774, 50857, 51338, 50833, 53165, 54220, 51129, 51544, 53461, 58032, 51842, 50434, 51774, 50822, 51338, 50925, 53165, 57444, 54114, 51614, 50981, 51181, 50943, 52364, 50932, 53552, 51129, 50442, 52008, 50446, 60347, 51515, 50813, 79957, 52842, 50933, 54680, 50908, 56403, 73966, 52008, 51755, 51239, 62238, 50852, 58115, 51515, 50857, 51132, 50836, 52842, 54220, 51129, 51544, 53461, 58032, 51842, 50434, 51515, 50857, 51132, 50897, 52842, 57444, 54114, 51614, 51043, 51181, 51159, 52364, 51309, 53552, 51129, 50442, 52008, 50446, 51515, 50857, 52842, 50827, 51842, 50448, 51614, 50867, 52364, 53996, 51774, 51233, 51338, 51194, 53165, 51277, 54680, 50908, 56403, 73966, 51515, 50862, 51132, 50840, 52842, 54352, 51239, 50908, 50799, 51842, 50418, 50852, 58115, 51416, 53330, 54953, 52585, 50836, 52008, 50430, 51842, 50434, 54785, 51675, 52977, 51490, 50852, 50928, 51570, 51129, 50442, 52008, 50446, 60347, 52008, 56403, 73966, 52008, 51755, 51239, 62238, 50852, 58115, 51515, 51134, 51132, 51141, 54775, 51381, 51859, 51381, 58539, 51544, 53461, 58032, 51842, 50434, 50852, 54114, 51614, 51115, 51181, 51417, 52789, 51627, 51914, 51627, 53552, 51129, 50442, 52008, 50446, 51842, 51899, 51139, 50908, 56403, 73966, 51774, 50867, 51338, 50833, 52901, 50864, 52301, 56081, 51239, 50908, 50799, 51842, 50418, 50852, 58115, 51774, 50857, 51338, 50833, 52901, 50864, 52301, 54220, 51129, 51544, 53461, 58032, 51842, 50434, 51774, 50857, 51338, 50925, 52901, 50827, 52301, 51051, 50852, 54114, 51614, 51109, 51181, 50943, 52789, 50932, 51914, 50932, 53552, 51129, 50442, 52008, 50446, 60347, 51515, 50862, 51132, 51162, 54775, 50933, 51859, 56850, 51139, 50908, 56403, 73966, 52008, 51755, 51239, 62238, 50852, 58115, 51515, 50813, 51132, 50828, 54775, 50864, 51859, 55181, 51129, 51544, 53461, 58032, 51842, 50434, 51515, 50857, 51132, 50925, 54775, 50864, 51859, 51142, 50852, 54114, 51614, 51043, 51181, 51056, 52789, 51309, 51914, 51242, 53552, 51129, 50442, 52008, 50446, 51515, 50844, 54775, 50827, 51859, 50912, 51842, 50448, 51614, 50857, 52789, 50864, 51914, 53567, 51774, 51212, 51338, 51100, 52901, 51309, 52301, 51309, 54680, 50908, 56403, 73966, 51515, 50862, 51132, 50840, 54775, 50864, 51859, 54352, 51239, 50908, 50799, 51842, 50422, 51910, 55190, 52917, 51416, 51177, 50434, 52327, 51058, 52584, 50942, 53552, 59445, 51808, 53040, 51515, 51242, 51773, 50892, 51132, 51159, 51842, 50446, 51929, 53140, 51774, 51328, 52027, 51242, 51857, 50943, 53552, 57950, 52435, 50827, 76308, 51290, 53552, 62238, 50852, 58115, 51526, 52217, 54953, 53165, 51277, 52364, 51277, 52842, 51277, 51322, 50893, 51262, 74742, 53461, 58032, 51842, 50434, 51526, 50897, 53165, 50864, 52364, 50825, 52842, 50825, 51256, 50893, 51262, 56192, 54114, 51137, 51003, 53552, 51129, 50442, 52008, 50446, 60347, 51132, 51095, 51250, 51242, 54680, 50908, 56403, 73966, 51727, 50873, 51195, 54036, 51833, 50908, 50799, 51262, 53309, 51239, 62238, 50852, 58115, 51256, 52744, 54953, 53165, 51277, 52364, 51277, 52842, 50838, 51366, 50893, 51195, 54265, 53461, 58032, 51842, 50434, 51526, 50897, 53165, 50825, 52364, 50825, 52842, 50825, 51256, 50859, 51195, 55476, 54114, 51132, 51100, 51209, 51173, 53552, 51129, 50442, 52008, 50446, 51526, 50925, 51256, 50859, 60347, 51727, 50943, 53165, 50864, 52364, 50864, 52842, 50864, 51366, 51173, 51250, 54494, 51139, 50908, 56403, 51129, 50457, 51322, 71208, 52008, 54468, 50897, 51451, 51016, 51350, 54036, 51239, 62238, 66178, 55429, 54953, 53165, 51277, 52673, 51277, 52277, 51277, 51664, 51158, 51195, 53065, 53461, 58032, 51842, 50434, 51349, 50925, 53165, 50864, 52673, 50825, 52277, 50825, 51451, 54250, 50928, 54360, 51267, 51350, 54036, 51239, 51129, 50442, 52008, 50446, 60347, 51844, 51221, 51195, 51097, 54680, 50908, 56403, 73966, 77773, 57936, 50908, 50799, 51350, 54355, 51239, 62238, 50852, 58115, 51451, 52189, 54953, 53165, 51277, 52673, 51277, 53408, 51277, 51912, 51215, 51195, 74742, 53461, 58032, 51842, 50434, 51684, 50897, 53165, 50864, 52673, 50864, 53408, 50864, 51451, 50830, 51195, 56707, 50928, 54585, 51178, 51322, 51173, 51350, 53095, 51239, 51129, 50442, 52008, 50446, 51684, 50925, 51451, 50952, 51262, 51559, 52763, 51338, 50943, 53165, 50864, 52673, 50864, 53408, 50864, 52000, 51158, 51195, 54494, 51139, 50908, 56403, 73966, 51664, 50952, 52008, 55556, 50917, 51830, 51290, 53552, 62238, 50852, 58115, 51195, 51539, 54953, 52364, 51277, 52842, 51277, 52277, 51277, 52468, 51215, 51262, 53111, 53461, 58032, 51842, 50434, 51526, 50942, 52364, 50825, 52842, 50825, 52277, 50825, 51830, 50858, 51195, 56707, 54114, 51132, 51100, 51355, 53877, 51239, 51129, 50442, 52008, 50446, 51526, 50925, 60347, 51727, 51003, 51250, 51212, 54680, 50908, 56403, 73966, 51262, 54036, 51833, 50908, 54309, 50897, 51223, 54355, 51239, 62238, 50852, 58115, 51830, 55417, 54953, 55348, 51277, 52364, 51277, 52842, 51277, 51664, 51175, 51195, 62647, 53461, 58032, 51842, 50434, 51416, 50812, 55348, 50825, 52364, 50825, 52842, 50825, 51830, 50940, 51223, 54778, 54114, 52286, 51290, 51262, 53933, 51239, 51129, 50442, 52008, 50446, 51137, 50925, 60347, 51338, 50943, 55348, 50864, 52364, 50864, 52842, 50864, 51830, 51173, 51195, 51212, 54680, 50908, 56403, 73966, 51664, 52536, 51223, 50857, 52008, 52894, 53097, 51239, 62238, 66178, 55429, 54953, 53165, 51277, 52364, 51277, 52842, 51277, 52350, 51277, 51355, 62647, 53461, 58032, 51842, 50434, 51515, 50813, 51132, 50897, 53165, 50864, 52364, 50864, 52842, 50864, 52350, 50864, 51543, 57516, 54114, 51614, 51101, 51181, 51159, 51355, 51177, 53552, 51129, 50442, 52008, 50446, 51515, 50867, 79641, 51842, 50448, 51614, 54185, 51774, 51337, 51338, 51178, 51195, 51177, 54680, 50908, 56403, 73966, 51515, 50854, 51132, 50917, 51262, 53933, 51833, 50908, 51755, 51239, 59136, 52327, 50867, 51416, 53425, 51808, 50834, 53822, 50838, 53165, 50838, 52364, 50838, 52842, 50838, 51195, 51312, 50913, 58245, 51773, 51775, 50434, 51416, 50925, 53822, 50825, 53165, 50825, 52364, 50825, 52842, 51833, 55379, 51929, 51775, 51132, 51110, 51262, 53933, 51239, 59843, 52673, 56453, 51338, 50942, 52842, 54352, 51833, 73259, 51515, 51534, 50450, 51857, 50943, 55169, 50827, 51729, 63445, 53671, 60535, 53822, 65241, 55907, 50827, 55556, 50812, 51256, 50807, 61470, 54609, 52826, 53552, 62238, 66178, 55429, 54953, 53165, 51277, 52364, 51277, 52842, 50838, 51322, 51175, 51195, 53065, 53461, 58032, 51842, 50434, 51526, 50897, 53165, 50864, 52364, 50825, 52842, 50825, 51256, 61363, 54114, 51137, 50914, 51262, 53309, 51239, 51129, 50442, 52008, 50446, 60347, 51132, 51110, 53165, 50933, 52364, 50933, 52277, 50933, 51195, 51212, 54680, 50908, 56403, 73966, 51727, 50897, 51262, 53309, 51833, 50908, 51755, 51239, 62238, 50852, 58115, 51256, 55110, 54953, 53165, 51277, 52364, 51277, 52842, 50838, 51366, 51173, 51195, 76193, 53461, 58032, 51842, 50434 ]

[ 0, 250, 15352, 30054, 3495, 1619, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 81, 9756, 8669, 6, 13305, 6, 21072, 6, 24896, 6, 8, 6755, 12547, 4, 8504, 11, 5, 762, 9, 230, 3694, 19, 10, 7212, 20889, 9, 12312, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3905, 10, 33215, 16739, 9, 272, 6, 230, 119, 6, 12608, 73, 387, 428, 6, 8, 1918, 406, 428, 245, 4, 20, 4069, 9, 9571, 8, 5, 17627, 17274, 6711, 1045, 10, 33558, 8, 19448, 5466, 1328, 42, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 50799, 61236, 57974, 55723, 69749, 51144, 51313, 50461, 51512, 52121, 69296, 51717, 53519, 56910, 52437, 52709, 54777, 53519, 60315, 50816, 52210, 57473, 53312, 53519, 51585, 70527, 51945, 50420, 62506, 52389, 52922, 52767, 50909, 55167, 50909, 53415, 70284, 53753, 50909, 53825, 53905, 51125, 53783, 50909, 55876, 50939, 54276, 50909, 51790, 53462, 53889, 53902, 51308, 52222, 50461, 51275, 52071, 61310, 51945, 51435, 52151, 53519, 58249, 52437, 52709, 54259, 53519, 52424, 50816, 52210, 57473, 52728, 70284, 54771, 70676, 50845, 55374, 52392, 50799, 73869, 51047, 51847, 51945, 50420, 51070, 52670, 51298, 54523, 52922, 52767, 51125, 52446, 50691, 50302, 51148, 50909, 53757, 52210, 50939, 53562, 57473, 59092, 53702, 55374, 57093, 54035, 53889, 50818, 50799, 56984, 51115, 51144, 51662, 51512, 51518, 51153, 51518, 52709, 51218, 53481, 51141, 50909, 64391, 52209, 73869, 51115, 51837, 51141, 57473, 51141, 62434, 52210, 50909, 55260, 70284, 50981, 52381, 50943, 52709, 67064, 52961, 50872, 50873, 50799, 50691, 50302, 51295, 51561, 51939, 51099, 51486, 51153, 51422, 53629, 51218, 55374, 51141, 50847, 64739, 62506, 52389, 52922, 52767, 70676, 51295, 51837, 51218, 53519, 51141, 62434, 52396, 50691, 50295, 51097, 51516, 50943, 53629, 50889, 53462, 53889, 50818, 50799, 63583, 51353, 51198, 51422, 51144, 51692, 51308, 51422, 52353, 51218, 55374, 57394, 52209, 51948, 51218, 52709, 51141, 62434, 52396, 51435, 50943, 52353, 50889, 50799, 50691, 50292, 51714, 51280, 52071, 51232, 51714, 51099, 52069, 51489, 51991, 51837, 51991, 50420, 62506, 52389, 52922, 52896, 54393, 57725, 52210, 53926, 58138, 52053, 55037, 53926, 50893, 53664, 60075, 53889, 50818, 50799, 70284, 53849, 51720, 53090, 52756, 51196, 51876, 51353, 51280, 51183, 51144, 51183, 51512, 64250, 52437, 51061, 67969, 68230, 62483, 52767, 51070, 52896, 52817, 50980, 51280, 51183, 51144, 51183, 51512, 51183, 50816, 52396, 54467, 54070, 52349, 52756, 51356, 60603, 51047, 51561, 51047, 51144, 51047, 51512, 51047, 51070, 53070, 51070, 53896, 51061, 67969, 68230, 52972, 52922, 52767, 51070, 52896, 52817, 51016, 51280, 51047, 51561, 51047, 51144, 51047, 51512, 51047, 50816, 52396, 54467, 55764, 52756, 51896, 77278, 60603, 51145, 51198, 51145, 51144, 51145, 51512, 63346, 52437, 51061, 67969, 68230, 62483, 52767, 51070, 52896, 52817, 51160, 51280, 51145, 51198, 51145, 51144, 51145, 51512, 51145, 50816, 52396, 54467, 51428, 52349, 53527, 51226, 78323, 51293, 51847, 51145, 51144, 51145, 51512, 51145, 51070, 53070, 51070, 53896, 54467, 51977, 51061, 67969, 68230, 52972, 52922, 52767, 51070, 52896, 51847, 51145, 51144, 51145, 51512, 51145, 50992, 52504, 52210, 50939, 55125, 50909, 55670, 50992, 51675, 77278, 59649, 51714, 51280, 51047, 51144, 51047, 51512, 60881, 52437, 53918, 51227, 51061, 67969, 68230, 62483, 52767, 51070, 52896, 54467, 51013, 51280, 51183, 51144, 51183, 51512, 51183, 50816, 52396, 52756, 55732, 52349, 53527, 51896, 51706, 51675, 70527, 51183, 51099, 51183, 51308, 51183, 51070, 53070, 51070, 53896, 51061, 67969, 68230, 52972, 52922, 52767, 51070, 52896, 52817, 51055, 51706, 51183, 51561, 51183, 51099, 51183, 51308, 51183, 50816, 52396, 54324, 55345, 52756, 51655, 77278, 65364, 51183, 51198, 51183, 51144, 51183, 51308, 64250, 52437, 79204, 51061, 67969, 68230, 62483, 66518, 51257, 57265, 51257, 61193, 51257, 52767, 51257, 53332, 58039, 51257, 54288, 51257, 57320, 51257, 52600, 51706, 51183, 51198, 51183, 51144, 51183, 51308, 51183, 51257, 53754, 59797, 51257, 53905, 51257, 58829, 51257, 53239, 51257, 59484, 51257, 55354, 51257, 58560, 51257, 52396, 51257, 53756, 59671, 51257, 53545, 51257, 59163, 51257, 52349, 51257, 60427, 51257, 56419, 51257, 60634, 79204, 60603, 51183, 51232, 51183, 51099, 51183, 51153, 51183, 51439, 54261, 76226, 51439, 55926, 51439, 63180, 51439, 53576, 51439, 54018, 73435, 51439, 54477, 51439, 58405, 51439, 52870, 51439, 50834, 51089, 68054, 68230, 52972, 52922, 66518, 51439, 56710, 51439, 58734, 51439, 52209, 51439, 52941, 58039, 51439, 54606, 51439, 58414, 51439, 52565, 75825, 51280, 51183, 51232, 51183, 51099, 51183, 51153, 51183, 52238, 52538, 59797, 52238, 54905, 52238, 59808, 52238, 53239, 52238, 57728, 52238, 54255, 52238, 56038, 52238, 53533, 50964, 51073, 52403, 67940, 52403, 54781, 52403, 59644, 52403, 53173, 53664, 50938, 51555, 50917, 52403, 55164, 70215, 55055, 50458, 52138, 54370, 52138, 55971, 52138, 50884, 67896, 50806, 52756, 51196, 51986, 51077, 51876, 51353, 51280, 51183, 51144, 51183, 51512, 51183, 52138, 50820, 59504, 50992, 62641, 52221, 71719, 50965, 52722, 50416, 52138, 56572, 52138, 63266, 52138, 52944, 52138, 51833, 65587, 52138, 53109, 52138, 58990, 52138, 52670, 52936, 51196, 52138, 67861, 50932, 50992, 50981, 50909, 51097, 51061, 67969, 68230, 50812, 59858, 66518, 52138, 54974, 52138, 59277, 52138, 53031, 52138, 51833, 54949, 58039, 52138, 53439, 52138, 57892, 52138, 52904, 52817, 50980, 51722, 51346, 51280, 51183, 51144, 51183, 51512, 51183, 52138, 50891, 59504, 50992, 50889, 50909, 53030, 51044, 70483, 63806, 50440, 52138, 57502, 52138, 62971, 52138, 54189, 52138, 53796, 64807, 52138, 53430, 54467, 50865, 51567, 50938, 50872, 61815, 58451, 50974, 52358, 67128, 55055, 50456, 64584, 52756, 51356, 51986, 51077, 50872, 52347, 50312, 58846, 50838, 52622, 50965, 52722, 53870, 50800, 51280, 51047, 51561, 51047, 51144, 51047, 51512, 51047, 50979, 50889, 68100, 75998, 71873, 59858, 53070, 51105, 52153, 54949, 53896, 51105, 51054, 72924, 50872, 51333, 50992, 51097, 80040, 51061, 67969, 68230, 52972, 51044, 53518, 50837, 51361, 54949, 52896, 52817, 51016, 51722, 50889, 51280, 51047, 51561, 51047, 51144, 51047, 51512, 51047, 50979, 57858, 50915, 50992, 50889, 50909, 55107, 51044, 70483, 52254, 51180, 53430, 54467, 50893, 51567, 62872, 56144, 54558, 50312, 62431, 51079, 51762, 50876, 64109, 71597, 52756, 51896, 51986, 51591, 50979, 58736, 55798, 50312, 62707, 51166, 52358, 50928, 50965, 55044, 52288, 50923, 51280, 51145, 51198, 51145, 51144, 51145, 51512, 51145, 62197, 68100, 50992, 50914, 70389, 52358, 58010, 53098, 50927, 51054, 62197, 68100, 50992, 50914, 70389, 51061, 67969, 68230, 50812, 59858, 50837, 51361, 54949, 52896, 52817, 51160, 51722, 51116, 51280, 51145, 51198, 51145, 51144, 51145, 51512, 51145, 50848, 67949, 50995, 77569, 70389, 55901, 70483, 55177, 51180, 53430, 54467, 50795, 51567, 58580, 55808, 52347, 50312, 59985, 50972, 52358, 67128, 64109, 67038, 53527, 51226, 52170, 51204, 50848, 55808, 58469, 50312, 62431, 51166, 52622, 51028, 56121, 55708, 50894, 53646, 51293, 51847, 51145, 51144, 51145, 51512, 51145, 51017, 58521, 60057, 50805, 59858, 53070, 68724, 51017, 58736, 61942, 53284, 54949, 53896, 51228, 51054, 54467, 51977, 51567, 51623, 51017, 51003, 67907, 50992, 50995, 51061, 67969, 68230, 52972, 51044, 53518, 66731, 55044, 50432, 70676, 57045, 52938, 54949, 54034, 50847, 52729, 73869, 50805, 51847, 51145, 51144, 51145, 51512, 51145, 50992, 60353, 51013, 59504, 50992, 51013, 55901, 52616, 70676, 50805, 51228, 64708, 50938, 67615, 70284, 50849, 51105, 51054, 51017, 56144, 61815, 59985, 50923, 67920, 50691, 50295, 61121, 58541, 59863, 59863, 50893, 52358, 50928, 50799, 70284, 51264, 50945, 51055, 51876, 51151, 51280, 51047 ]

[ 0, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 15229, 30853, 19, 10, 1472, 9, 15073, 8, 9066, 2821, 16235, 4, 27901, 10, 5544, 12547, 9, 12280, 3275, 1725, 3109, 6, 3551, 139, 6, 2724, 368, 31365, 25999, 6, 17691, 28430, 6, 8, 6168, 3540, 6, 24, 3136, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 24, 22848, 10, 33215, 16739, 9, 272, 6, 274, 6, 381, 73, 534, 10431, 6, 1918, 6, 8, 3676, 6, 8216, 7, 63, 7630, 36041, 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 ]

[ 57530, 50456, 51900, 50802, 51978, 50911, 53879, 50879, 55061, 50879, 52573, 50923, 52292, 50923, 52242, 50923, 52044, 50923, 76309, 50811, 52172, 50911, 53879, 50879, 55061, 50879, 52573, 50923, 52242, 50923, 52342, 50962, 50416, 52285, 50811, 52416, 50962, 50418, 51900, 50811, 52044, 57188, 52515, 50811, 53879, 50879, 55061, 50879, 52573, 50923, 52292, 50923, 52242, 50923, 52662, 50962, 50422, 51950, 50811, 52205, 50962, 50424, 51802, 50811, 52342, 56667, 53993, 50802, 53493, 50911, 53879, 50879, 55061, 50879, 52573, 50923, 52342, 50923, 52662, 50923, 54066, 57067, 52515, 50802, 53493, 50911, 53879, 50879, 55061, 50879, 52573, 50923, 52044, 50923, 52342, 50923, 52662, 58395, 52857, 50811, 52833, 50911, 53155, 50879, 53029, 50879, 52049, 50923, 52044, 50923, 52205, 50923, 53640, 50962, 53382, 64916, 53640, 50894, 50440, 52624, 50811, 53382, 59120, 52857, 50811, 53640, 50894, 50442, 53382, 69824, 52624, 52940, 52515, 50802, 53493, 50911, 53827, 50879, 52573, 50923, 52573, 50879, 52044, 50923, 52342, 50923, 52662, 56827, 52833, 50911, 54648, 50879, 52292, 50923, 52292, 50879, 52242, 57241, 51900, 50802, 52172, 50911, 53827, 50879, 52573, 50923, 52573, 50879, 52292, 50923, 52242, 50923, 52044, 50923, 76309, 50811, 52172, 50911, 53879, 50879, 55061, 50879, 52573, 50923, 52242, 50923, 52342, 50962, 50416, 52285, 50811, 52416, 50962, 50418, 51900, 50811, 52044, 57188, 52515, 50811, 53879, 50879, 55061, 50879, 52573, 50923, 52292, 50923, 52242, 50923, 52662, 50962, 50422, 51950, 50811, 52205, 50962, 50424, 51802, 50811, 52342, 56667, 52624, 50802, 52833, 50911, 53155, 50879, 53029, 50879, 52049, 50923, 52044, 50923, 53640, 57067, 51900, 50802, 53319, 50911, 55403, 50879, 54769, 50879, 52292, 50923, 52797, 50923, 52044, 58395, 52549, 50802, 52172, 50911, 53941, 50879, 53249, 50879, 52740, 50923, 52242, 50923, 53634, 57816, 51900, 50802, 52172, 50911, 53879, 50879, 55061, 50879, 52292, 50923, 52242, 50923, 52044, 56827, 52172, 50911, 53448, 50879, 53571, 50879, 52242, 57241, 52515, 50802, 53493, 50911, 53879, 50879, 55061, 50879, 52573, 50923, 52044, 50923, 52342, 50923, 52662, 50923, 50799, 52624, 50811, 52833, 51090, 53155, 51013, 53029, 51013, 52044, 50923, 53640, 50962, 50416, 52515, 50811, 52662, 50962, 50418, 51950, 50811, 52205, 57188, 52624, 50811, 52044, 50923, 53640, 50962, 50422, 52515, 50811, 52662, 50962, 50424, 51950, 50811, 52205, 56667, 52857, 50802, 52380, 51090, 54807, 51013, 55342, 51013, 51975, 50923, 53382, 57067, 51950, 50802, 51975, 50923, 52205, 58395, 52515, 50811, 52380, 51090, 53448, 51013, 53571, 51013, 51975, 50923, 52662, 50962, 50440, 51950, 50811, 52205, 50962, 50442, 51802, 50811, 52342, 57736, 52515, 50811, 51975, 50923, 52662, 75568, 51950, 50811, 52205, 50962, 50448, 51802, 50811, 52342, 56604, 52624, 50802, 52436, 51551, 53879, 51013, 55061, 51013, 52443, 50923, 53640, 57241, 51802, 50802, 52443, 50923, 52342, 50923, 50799, 51950, 50811, 54807, 51013, 55342, 51013, 52443, 50923, 52205, 50962, 50416, 51802, 50811, 52342, 50962, 50418, 52285, 50811, 52416, 57188, 51950, 50811, 52443, 50923, 52205, 50962, 50422, 51802, 50811, 52342, 50962, 50424, 52285, 50811, 52416, 56667, 52515, 50802, 52172, 51090, 58703, 51013, 59040, 51013, 52242, 50923, 52662, 57067, 52285, 50802, 52242, 50923, 52416, 58395, 51802, 50802, 52172, 50911, 53879, 50879, 55061, 50879, 52242, 51054, 52342, 57816, 51900, 50802, 51978, 50911, 53827, 50879, 52573, 50923, 52573, 50879, 52044, 56827, 52172, 50911, 53011, 50879, 52550, 50923, 52550, 50879, 52242, 57241, 52515, 50838, 52380, 50838, 67463, 53249, 50879, 52740, 50923, 51975, 50923, 52662, 50923, 50799, 52933, 50827, 57806, 50827, 54850, 50932, 52740, 50849, 52740, 51013, 52416, 51336, 54073, 59176, 52515, 50827, 55499, 50827, 52662, 54681, 54063, 50827, 61778, 50827, 52740, 50849, 53324, 50849, 54081, 55747, 52857, 50827, 58427, 50827, 53382, 53950, 53993, 50827, 64350, 50827, 54850, 50932, 52740, 50849, 52740, 51013, 53324, 50849, 54066, 58129, 54063, 50827, 61778, 50827, 54081, 53974, 52515, 50827, 55499, 50827, 52740, 50849, 53324, 50849, 52662, 56535, 54063, 50827, 61778, 50827, 54081, 54773, 52857, 50827, 58427, 50827, 54850, 50932, 52740, 50849, 52740, 51013, 52242, 50849, 52416, 51336, 53382, 61032, 52515, 50827, 55499, 50827, 52662, 54811, 52933, 50827, 57806, 50827, 52740, 50849, 52242, 50849, 54073, 56762, 52515, 50827, 55499, 50827, 52662, 54721, 54063, 50827, 61778, 50827, 54850, 50932, 52740, 50849, 52740, 51013, 53324, 50849, 54081, 59682, 52857, 50827, 58427, 50827, 53382, 54418, 53993, 50827, 64350, 50827, 52740, 50849, 53324, 50849, 54066, 57264, 54063, 50827, 61778, 50827, 54081, 50859, 50799, 52857, 50827, 58427, 50827, 54850, 50932, 52740, 50849, 52740, 51013, 52242, 50849, 52416, 51336, 53382, 59176, 52515, 50827, 55499, 50827, 52662, 54681, 52933, 50827, 57806, 50827, 52740, 50849, 52242, 50849, 54073, 55747, 52515, 50827, 55499, 50827, 52662, 53950, 54063, 50827, 61778, 50827, 54850, 50932, 52740, 50849, 52740, 51013, 53324, 50849, 54081, 58129, 52857, 50827, 58427, 50827, 53382, 53974, 53993, 50827, 64350, 50827, 52740, 50849, 53324, 50849, 54066, 56535, 54063, 50827, 61778, 50827, 54081, 54773, 52857, 50838, 53625, 50838, 55769, 50838, 52242, 50849, 52242, 50879, 52416, 50879, 53382, 55885, 52515, 50838, 52380, 50838, 67463, 53249, 50879, 51975, 50879, 52416, 50879, 52662, 55149, 52172, 50838, 66536, 52550, 50849, 52550, 50879, 52242, 55416, 52515, 50838, 52380, 50838, 67463, 53249, 50879, 51975, 50879, 52416, 50879, 52662, 50879, 50799, 53101, 50827, 55626, 50827, 53827, 50932, 52573, 50849, 52573, 51013, 52044, 51336, 53731, 59176, 51950, 50827, 53610, 50827, 52205, 54681, 52515, 50827, 55499, 50827, 52573, 50849, 53322, 50849, 52662, 55747, 52624, 50827, 57828, 50827, 53640, 53950, 52857, 50827, 58427, 50827, 53827, 50932, 52573, 50849, 52573, 51013, 53322, 50849, 53382, 58129, 52515, 50827, 55499, 50827, 52662, 53974, 51950, 50827, 53610, 50827, 52573, 50849, 53322, 50849, 52205, 56535, 52515, 50827, 55499, 50827, 52662, 54773, 52624, 50827, 57828, 50827, 53827, 50932, 52573, 50849, 52573, 51013, 52049, 50849, 52044, 51336, 53640, 61032, 51950, 50827, 53610, 50827, 52205, 54811, 53101, 50827, 55626, 50827, 52573, 50849, 52049, 50849, 53731, 56762, 51950, 50827, 53610, 50827, 52205, 54721, 52515, 50827, 55499, 50827, 53827, 50932, 52573, 50849, 52573, 51013, 53322, 50849, 52662, 59682, 52624, 50827, 57828, 50827, 53640, 54418, 52857, 50827, 58427, 50827, 52573, 50849, 53322, 50849, 53382, 57264, 52515, 50827, 55499, 50827, 52662, 50859, 50799, 52624, 50827, 57828, 50827, 53827, 50932, 52573, 50849, 52573, 51013, 52049, 50849, 52044, 51336, 53640, 59176, 51950, 50827, 53610, 50827, 52205, 54681, 53101, 50827, 55626, 50827, 52573, 50849, 52049, 50849, 53731, 55747, 51950, 50827, 53610, 50827, 52205, 53950, 52515, 50827, 55499, 50827, 53827, 50932, 52573, 50849, 52573, 51013, 53322, 50849, 52662, 58129, 52624, 50827, 57828, 50827, 53640, 53974, 52857, 50827, 58427, 50827, 52573, 50849, 53322, 50849, 53382, 56535, 52515, 50827, 55499, 50827, 52662, 54773, 52624, 50838, 52833, 50838, 54358, 50838, 52049, 50849, 52049, 50879, 52044, 50879, 52205, 50879, 53640 ]

[ 0, 250, 15855, 1619, 2214, 19, 10, 3495, 2712, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 2342, 4467, 6, 18558, 6, 8, 3459, 9590, 4, 20, 2125, 16, 11, 230, 538, 6, 19, 10, 155, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 13259, 163, 5683, 4, 20, 16331, 33215, 16739, 9, 272, 406, 73, 387, 8, 230, 3639, 7, 5, 12298, 8, 33558, 5466, 6, 2351, 10, 15352, 30054, 8, 32076, 2365, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51034, 50628, 51018, 51034, 55239, 57974, 64864, 51584, 51158, 51284, 51158, 51034, 52036, 53233, 52430, 52903, 52626, 53454, 51567, 50896, 77932, 51304, 50896, 51897, 60008, 52944, 50872, 61709, 50830, 65420, 60375, 52641, 51584, 50805, 51011, 50967, 51284, 50805, 51897, 53031, 50872, 56754, 61056, 76058, 50807, 51384, 58785, 51437, 52742, 50872, 51060, 50850, 51060, 50909, 51060, 51133, 51060, 51897, 53114, 51584, 50849, 79103, 51468, 50446, 67115, 51468, 50449, 52075, 50914, 51468, 51034, 50927, 50967, 51733, 50914, 51897, 52944, 50872, 61709, 50830, 69357, 60375, 52641, 51584, 51100, 77932, 51284, 51100, 51897, 59277, 52037, 53182, 51690, 58785, 51437, 52742, 50872, 51060, 50850, 51060, 51007, 51060, 51011, 50967, 51897, 53114, 52075, 51192, 51733, 51192, 51468, 50446, 67115, 51468, 50448, 52886, 53413, 52137, 53478, 52735, 53082, 50449, 51468, 51034, 51722, 51933, 50953, 50967, 51394, 51933, 51897, 52944, 60001, 50939, 71352, 50830, 60375, 58092, 50929, 54381, 50947, 57480, 51064, 50880, 51186, 50967, 51897, 54974, 51032, 72149, 51067, 52726, 50847, 62690, 60878, 56880, 51437, 59051, 51563, 63982, 68823, 50939, 50991, 51007, 51060, 51271, 50991, 51897, 59144, 53019, 50950, 51180, 57013, 53729, 57915, 67115, 51468, 50448, 53019, 57795, 51468, 51034, 50847, 50818, 55543, 51072, 77750, 51897, 52944, 50847, 56808, 71352, 50800, 51596, 50840, 51606, 65958, 51437, 53109, 51789, 50942, 51565, 51620, 51606, 50914, 51596, 51048, 51186, 50991, 51897, 53031, 50847, 63073, 60878, 56088, 51437, 57514, 52182, 50807, 52315, 53912, 73237, 50939, 50967, 69357, 51271, 50967, 51897, 53114, 51555, 50905, 78041, 51468, 50446, 67115, 51468, 50449, 51752, 50914, 54120, 51097, 51722, 50807, 51468, 51034, 54120, 51204, 51752, 51294, 52626, 52829, 52137, 52644, 52225, 53753, 51722, 51016, 50964, 50967, 51394, 50807, 51394, 51362, 51897, 52944, 50868, 72662, 55023, 51437, 58990, 51555, 51631, 51019, 50967, 51182, 51650, 51041, 59277, 51567, 56217, 50868, 58269, 61056, 50809, 51304, 58028, 51437, 52742, 68623, 62562, 50909, 50967, 50953, 51060, 51897, 53114, 51555, 50849, 51182, 50849, 51468, 50446, 67115, 51468, 50449, 52075, 50889, 51468, 77668, 50991, 51733, 50889, 51897, 52944, 50868, 50830, 60001, 69196, 60375, 52641, 51555, 50901, 75718, 51182, 50901, 51897, 59277, 52037, 56217, 50868, 58269, 64278, 50818, 51690, 58028, 51437, 52742, 50868, 55914, 56696, 51019, 50967, 51897, 54905, 51733, 51111, 50442, 52075, 51111, 51180, 56453, 67115, 51284, 51161, 51468, 50448, 52036, 51592, 52430, 51422, 51584, 51161, 50449, 51468, 77851, 50991, 51897, 52944, 50872, 77017, 55023, 51437, 52641, 51686, 50923, 51011, 50967, 51897, 58245, 51606, 51138, 50431, 51565, 50805, 51827, 52605, 50872, 56754, 64278, 56088, 51437, 57514, 51789, 50812, 51565, 59646, 78871, 50850, 51060, 50909, 50967, 51133, 51060, 51897, 56819, 51752, 77291, 51789, 70035, 52315, 60835, 51596, 50830, 51468, 50446, 52202, 50952, 52161, 50823, 67115, 51468, 50449, 51752, 51294, 51789, 51009, 52137, 51422, 52225, 51452, 51468, 51034, 51752, 51933, 50964, 50991, 51897, 52944, 50868, 50830, 50939, 50830, 69196, 60375, 52641, 75718, 51897, 53031, 50868, 62690, 61056, 56880, 51437, 52742, 68623, 50939, 51112, 80142, 51019, 50967, 51897, 53114, 51284, 50805, 51468, 50445, 51584, 65052, 67115, 51468, 50449, 52626, 53849, 51468, 51034, 52036, 51801, 52430, 51295, 51567, 50914, 51567, 50889, 77932, 51304, 50889, 51304, 50914, 51897, 52944, 50872, 61709, 50830, 69196, 60375, 52641, 51584, 51177, 51011, 50967, 51284, 51177, 51897, 59277, 51612, 60307, 50872, 56754, 61056, 50809, 51384, 51003, 60375, 59051, 52430, 52335, 50438, 70084, 67265, 80142, 51133, 50967, 51897, 59692, 51567, 74971, 51304, 51043, 51468, 50446, 67115, 51468, 50449, 54339, 51803, 52184, 50807, 51468, 77851, 50991, 51811, 50807, 51897, 52944, 50979, 61709, 50830, 69196, 60375, 58990, 52037, 71783, 77750, 51690, 51194, 51897, 59277, 52792, 53182, 50979, 56754, 61056, 50809, 52487, 58785, 51437, 52742, 50979, 53006, 51060, 50909, 50967, 51011, 50967, 51897, 54905, 51926, 51221, 50442, 52290, 51221, 51180, 56453, 67115, 52735, 52826, 52886, 53413, 51468, 50449, 51468, 51034, 51612, 51486, 51186, 51112, 51384, 51486, 51897, 52944, 50872, 56808, 71352, 50830, 60375, 52641, 51438, 50803, 51788, 78537, 50991, 51897, 64640, 51563, 56274, 53019, 52686, 50872, 62690, 60878, 50809, 51292, 50803, 51563, 68957, 51437, 53439, 51438, 50950, 51788, 60958, 53718, 55197, 50437, 51438, 50952, 51067, 59826, 70084, 50939, 51112, 51007, 51112, 51720, 50967, 51897, 54905, 51563, 50800, 51292, 53247, 69051, 51064, 51052, 56453, 67115, 51292, 50823, 51032, 51014, 51468, 50449, 51468, 51034, 51438, 51009, 51067, 51029, 51186, 50991, 51897, 52944, 68651, 50939, 71352, 50830, 60375, 52641, 51612, 51121, 51271, 50967, 51384, 51121, 51897, 53031, 50872, 62690, 60878, 50809, 52075, 51159, 51733, 51159, 60375, 52742, 78871, 50939, 50967, 51007, 51060, 51720, 51650, 51041, 59692, 52037, 63322, 51690, 51060, 51468, 50446, 67115, 51468, 50448, 52430, 51662, 52626, 52140, 50449, 51468, 51034, 51584, 50889, 51584, 50914, 77932, 51284, 50889, 51284, 50914, 51897, 52944, 50872, 77017, 50830, 60375, 58990, 51567, 64131, 51011, 51060, 51304, 51100, 51897, 59277, 51612, 60307, 50872, 56754, 61056, 50809, 51384, 51003, 60375, 52742, 50872, 51060, 50850, 59192, 51060, 51133, 51650, 51041, 59692, 51567, 53999, 51304, 50845, 51468, 50446, 67115, 51468, 50449, 52626, 52720, 52735, 51422, 52225, 51662, 52290, 50943, 51468, 51034, 51722, 51227, 50964, 50991, 51926, 50943, 51897, 52944, 50868, 50830, 50939, 50830, 69196, 60375, 59768, 51555, 51095, 50425, 52075, 75262, 51019, 50991, 51733, 51178, 51897, 59277, 51783, 50896, 51612, 56217, 50868, 62690, 61056, 50809, 51384, 58028, 51437, 52742, 50868, 51060, 50939, 51060, 50909, 51060, 50953, 50967, 51897, 59144, 51555, 64990, 52075, 51100, 51733, 51100, 51468, 50446, 67115, 51468, 50449, 52036, 52337, 52430, 51717, 51584, 51933, 51468, 51034, 52037, 51790, 77932, 51690, 51790, 51897, 52944, 50872, 55219, 61056, 56880, 51437, 52641, 51011, 50991, 51897, 53031, 50872, 56754, 61056, 56880, 51437, 52742, 78871, 67265, 80142, 53729, 50803, 74533, 51133, 51060, 51897, 54905, 55543, 50823, 51438, 52284, 53729, 50811, 51292, 50823, 51468, 50446, 67115, 51064, 50823, 51468, 50448, 51563, 63816, 51468, 51034, 50947, 51300, 50945, 50991, 51897, 55916, 51438, 58823, 50872, 55219, 61056, 51049, 52641, 51011, 51060, 51897, 53031, 50872, 56754, 61056, 50809, 51287, 52418, 53442, 78871, 68650, 80142, 51133, 51060, 51897, 68954, 68619, 62843, 59484, 67115, 51468, 50449, 51468, 51034, 75414, 51897, 60008, 52944, 50872, 55219, 61056, 55023, 51437, 52641, 51011, 50967, 51897, 53031, 50872, 56754, 61056, 56880, 51437, 52742, 50872, 51060, 50850, 51060, 50909, 50967, 51133, 51650, 51041, 75164, 56453, 67115, 52886, 52096, 51468, 50449, 51468, 51034, 50927, 50967, 51897, 52944, 50872, 55219, 60878, 55023, 51437, 52641, 77932, 51897, 53031, 50872, 56754, 79368, 56880, 51437, 52742, 50872, 53006, 51060, 51007, 51060, 51011, 50967, 51897, 75164, 56453, 67115, 51468, 50449, 52137, 53849, 52735, 52096, 51468, 51034, 50953, 50967, 51897, 52944, 50847, 62690, 60878 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 980, 219, 5466, 6, 4246, 10, 13305, 6, 38668, 2236, 6, 8, 38668, 483, 816, 81, 10, 7212, 20889, 27071, 1286, 30, 41, 3459, 9590, 4, 20, 2125, 16, 11, 274, 538, 8, 204, 73, 306, 86, 6, 19, 10, 33215, 13931, 9, 274, 6, 230, 73, 717, 6, 1918, 6, 8, 211, 119, 406, 4, 20, 6711, 16, 2635, 8, 2933, 6, 7630, 14805, 10, 1472, 9, 10, 177, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51457, 51623, 51186, 51623, 56855, 51717, 55928, 51151, 54283, 64691, 51410, 56382, 51303, 50910, 51170, 60247, 51414, 50910, 51170, 51483, 50438, 51303, 60204, 51410, 57006, 51414, 50910, 51170, 68287, 51303, 50910, 77034, 51623, 51011, 51623, 55242, 51151, 54062, 64691, 52326, 56382, 51476, 50910, 51170, 60247, 51303, 50910, 51170, 51483, 50438, 51476, 64949, 51303, 50910, 51170, 51483, 50456, 51476, 50910, 74149, 51141, 50953, 51623, 55187, 51151, 55928, 51151, 54283, 64691, 51410, 56382, 51303, 50910, 51170, 60247, 51414, 50910, 51170, 51735, 50438, 51303, 60204, 51410, 57006, 51414, 50910, 51170, 51735, 50456, 51303, 50910, 77034, 51204, 50945, 51623, 54062, 51204, 50420, 51476, 56382, 51303, 50910, 51170, 60247, 51249, 50910, 51170, 51735, 50438, 51476, 51095, 51457, 51095, 54283, 64949, 51303, 50910, 51980, 51095, 51170, 51735, 55751, 62805, 51249, 50910, 50799, 51825, 51077, 51105, 51623, 53792, 64739, 52303, 56382, 51687, 50910, 51170, 60247, 51231, 50910, 51170, 51735, 50438, 51687, 60204, 52303, 57006, 51231, 50910, 51170, 51735, 55833, 57939, 51303, 50910, 53792, 50910, 52354, 51623, 53792, 51095, 50420, 51410, 56382, 51687, 50910, 51170, 51012, 55833, 58466, 51231, 50910, 51170, 51735, 53792, 51346, 50438, 51687, 60204, 52303, 50910, 51980, 50910, 55751, 57006, 51231, 50910, 51457, 50910, 51170, 51735, 54283, 57939, 51303, 50910, 51414, 50910, 55928, 50910, 74149, 51141, 51186, 51623, 55928, 64739, 51410, 56382, 51303, 50910, 51170, 60247, 51414, 50910, 51170, 74388, 51303, 60204, 51410, 70447, 51303, 50910, 51170, 51237, 56855, 57939, 51414, 50910, 55928, 50910, 66513, 51623, 51414, 51623, 51457, 51623, 51186, 51077, 54062, 66829, 55928, 58466, 55751, 51346, 50444, 54283, 57006, 52018, 50910, 55928, 62805, 51720, 57882, 51010, 61357, 51452, 51303, 51452, 51414, 51452, 51186, 53769, 53710, 69951, 51045, 51039, 57272, 52987, 55744, 51045, 51170, 55649, 51186, 50910, 53292, 56411, 52744, 51045, 51170, 56262, 51186, 50889, 52987, 63324, 52744, 69951, 51031, 51180, 68280, 53355, 55744, 60512, 68287, 51186, 50910, 53355, 55744, 51045, 66513, 51452, 51249, 51452, 51327, 51452, 51011, 50889, 52648, 56411, 53710, 69951, 75832, 52648, 55744, 57272, 52648, 52675, 51045, 51170, 58146, 53355, 53810, 77382, 52987, 67400, 52744, 51045, 51170, 56262, 51011, 55506, 52744, 69951, 51031, 51180, 51045, 52320, 60512, 68287, 51011, 55744, 51045, 61357, 51452, 51303, 51452, 51414, 51452, 50953, 53769, 53710, 69951, 51045, 51039, 57272, 52987, 55744, 51045, 51170, 55649, 65344, 52987, 56411, 52744, 51045, 51170, 51031, 55208, 50889, 52987, 63324, 52744, 69951, 51031, 51180, 68280, 53355, 55744, 60512, 68287, 65344, 53355, 55744, 51045, 66513, 51452, 51249, 51452, 51327, 51452, 50945, 50889, 52648, 56411, 53710, 69951, 75832, 52648, 55744, 57272, 53355, 55744, 51045, 51170, 55649, 73429, 52987, 53769, 52744, 51045, 51170, 51031, 53357, 55506, 52744, 69951, 51031, 51180, 51045, 50447, 53209, 53688, 52987, 59156, 60512, 68287, 50927, 55744, 51045, 73409, 51623, 51231, 51452, 51414, 51623, 51105, 50889, 52987, 51747, 53710, 69951, 51045, 50417, 52648, 52734, 53355, 55744, 57272, 53355, 55744, 51045, 51170, 55649, 64487, 53355, 57394, 52744, 51045, 51170, 56262, 51105, 55506, 52744, 69951, 51031, 51180, 51045, 52320, 60512, 68287, 64487, 53209, 55744, 51045, 66268, 51623, 51327, 51452, 51980, 51623, 50945, 50889, 53292, 56411, 53710, 69951, 75832, 53292, 55744, 57272, 52987, 55744, 51045, 51170, 55649, 73429, 53292, 67251, 52744, 51045, 51170, 51031, 53357, 55506, 52744, 69951, 55933, 52987, 55744, 68280, 53355, 55744, 60512, 68287, 73429, 52987, 51582, 75486, 52648, 50808, 66513, 51452, 51414, 51452, 51457, 51623, 51186, 50889, 53355, 62187, 53710, 69951, 75832, 53075, 55744, 57272, 52303, 55744, 51045, 51170, 55649, 51410, 51346, 51186, 56411, 52744, 51045, 51170, 56262, 51186, 55506, 52744, 69951, 55933, 53075, 55744, 68280, 52303, 55744, 60512, 68287, 51410, 50910, 51186, 55744, 51045, 66513, 51452, 51414, 51623, 51457, 51452, 51186, 53769, 53710, 69951, 75832, 53075, 55744, 57272, 51410, 55744, 51045, 51170, 55649, 52303, 51346, 51186, 56411, 52744, 51045, 51170, 56262, 51186, 63324, 52744, 69951, 55933, 53075, 55744, 68280, 51410, 50910, 51133, 59156, 60512, 68287, 51687, 57882, 51031, 61357, 51452, 51303, 51452, 51414, 51452, 51186, 53769, 53710, 69951, 51045, 51039, 57272, 52987, 55744, 51045, 51170, 55649, 51186, 50910, 52987, 56411, 52744, 51045, 51170, 56262, 51186, 50889, 52987, 52764, 52744, 69951, 61184, 52648, 52711, 53355, 55744, 68280, 53355, 59156, 60512, 68287, 51186, 55744, 51045, 66513, 51452, 51249, 51452, 51327, 51452, 51011, 50889, 52648, 56411, 53710, 69951, 75832, 52648, 55744, 57272, 53355, 55744, 51045, 51170, 55649, 77382, 52987, 67400, 52744, 51045, 51170, 56262, 51011, 55506, 52744, 69951, 51031, 51180, 51045, 52320, 60512, 68287, 51011, 55744, 51045, 61357, 51452, 51303, 51452, 51414, 51452, 50953, 53769, 53710, 69951, 51045, 51039, 60991, 53355, 53548, 52987, 55744, 51045, 51170, 55649, 65344, 52987, 56411, 52744, 51045, 51170, 51031, 55208, 50889, 52987, 63324, 52744, 69951, 51031, 51180, 68280, 53355, 52675, 60512, 51237, 50453, 53355, 54166, 65344, 53355, 55744, 51045, 66513, 51452, 51249, 51452, 51327, 51452, 50945, 50889, 52648, 56411, 53710, 69951, 75832, 52648, 55744, 57272, 53355, 55744, 51045, 51170, 55649, 73429, 52987, 53769, 52744, 51045, 51170, 51031, 53357, 55506, 52744, 69951, 51031, 51180, 51045, 50447, 53209, 53688, 52987, 59156, 60512, 68287, 50927, 55744, 51045, 73409, 51623, 51231, 51623, 51980, 51452, 51105, 50889, 52987, 56411, 53710, 69951, 51045, 53792, 75504, 53355, 55744, 57272, 53355, 55744, 51045, 51170, 55649, 64487, 53355, 57394, 52744, 51045, 51170, 56262, 51105, 55506, 52744, 69951, 51031, 51180, 51045, 52320, 60512, 51237, 55833, 53586, 64487, 53209, 50910, 56067, 50878, 54776, 52854, 51045, 53792, 50845, 66268, 51623, 51327, 51623, 51980, 51623, 50945, 50889, 53292, 50910, 54810, 50910, 53494, 50910, 54315, 56411, 53710, 69951, 51045, 53792, 71215, 53292, 50910, 54810, 50910, 53494, 50910, 54315, 55744, 57272, 52987, 50910, 56067, 50910, 54346, 50910, 53452, 55744, 51045, 51170, 51031, 55833, 53387, 73429, 53292, 51346, 54810, 51346, 53494, 51346, 54315, 67251, 52744, 51045, 51170, 51031, 53792, 50915, 53357, 55506, 52744, 69951, 55933, 52987, 50910, 56067, 50910, 54346, 50910, 53452, 55744, 51045, 55751, 53562, 53355, 50910, 54346, 50910, 53452, 55744, 60512, 51237, 54283, 53586, 73429, 52987, 50808, 54346, 50808, 53452, 52675, 51045, 55928, 65264, 52648, 50808, 54346, 50808, 53494, 50840, 66513, 51623, 51414, 51623, 51457, 51623, 51186, 50889, 53355, 51095, 54346, 54834, 53452, 54834, 50798, 53710, 69951, 51045, 55928, 51080, 54283, 55116, 50420, 53075, 55744, 57272, 52303, 55744, 51045, 51170, 55649, 51410, 51204, 51186, 56411, 52744, 51045, 51170, 56262, 51186, 55506, 52744, 69951, 51031, 53792, 51080, 51180, 68280, 53075, 55744, 60512, 68287, 52303, 50910, 51186, 55744, 51045, 61357, 50910, 51303, 51151, 51414, 51452, 51457, 51623, 51186, 53769, 53710, 69951, 51045, 56855, 51452, 55928, 51680, 50420, 52303, 55744, 57272, 53075, 55744, 51045, 51170, 55649, 51410 ]

[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 13305, 6, 3459, 8669, 6, 5730, 2342, 4467, 6, 6755, 12547, 6, 8, 21072, 6, 2351, 10, 32076, 8, 33558, 5466, 1969, 13, 5, 1619, 191, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57128, 50796, 50444, 52150, 57508, 50688, 50325, 52903, 50450, 50688, 50316, 56711, 50688, 50316, 58651, 59649, 50859, 51435, 50967, 51578, 51215, 51837, 77772, 51876, 51048, 51153, 67175, 51435, 51235, 51578, 51192, 51837, 67772, 51876, 50873, 51153, 78259, 51964, 50910, 51489, 50808, 51516, 52809, 53038, 50967, 51308, 51110, 51275, 50967, 51435, 51110, 51068, 50839, 50799, 52150, 51184, 50688, 50325, 51307, 51876, 50821, 51435, 51175, 51578, 50967, 51837, 77772, 50688, 50316, 50838, 51876, 51073, 51153, 67732, 50688, 50316, 53866, 51435, 51235, 51578, 51286, 51837, 51121, 51532, 66775, 50791, 58025, 51876, 50849, 51153, 51043, 51983, 55703, 51306, 51556, 58286, 50791, 57481, 51964, 50910, 51489, 50808, 51516, 51049, 76779, 59526, 51572, 68211, 67627, 51193, 51655, 51180, 50870, 55894, 51004, 51618, 60145, 67627, 51193, 51655, 50450, 51468, 50452, 59526, 50453, 53038, 51095, 51308, 50967, 51275, 51095, 51435, 51095, 51068, 51406, 60570, 59526, 51453, 50837, 55779, 51004, 51621, 56603, 59526, 50799, 52150, 52379, 50688, 50325, 51264, 51876, 50858, 51435, 50967, 51578, 51175, 51837, 51177, 51956, 50416, 58907, 51402, 64159, 50791, 54303, 50688, 50316, 50838, 51876, 51073, 51153, 51101, 51956, 55429, 50982, 51510, 58964, 50791, 53356, 50688, 50316, 52916, 51435, 51238, 51578, 51192, 51837, 51121, 51956, 50428, 52622, 51532, 60741, 50791, 54075, 51876, 50873, 51153, 51043, 51956, 55703, 50982, 51556, 57540, 50791, 53569, 51964, 50830, 51489, 50808, 51516, 50859, 51471, 50440, 52622, 50441, 51468, 50443, 52622, 51180, 59673, 51983, 50447, 51471, 50449, 67615, 51132, 50914, 52261, 51193, 51264, 50452, 52008, 50453, 53038, 51095, 51308, 50967, 51275, 51095, 51435, 51095, 51068, 51406, 60570, 58539, 51453, 50841, 51193, 51307, 50458, 51983, 51621, 56603, 58907, 52894, 50930, 62351, 51933, 52150, 51184, 50688, 50325, 51307, 51876, 50859, 51435, 51215, 51578, 51215, 51837, 51177, 53552, 56166, 51132, 54452, 51135, 54213, 51132, 50930, 50688, 50316, 50838, 51876, 51073, 51153, 51101, 52321, 53744, 51132, 51864, 52917, 75353, 50688, 50316, 54573, 51435, 51235, 51578, 51286, 51837, 51177, 56319, 50829, 51532, 62000, 50816, 53196, 51526, 50893, 51876, 50849, 51153, 51194, 71325, 54003, 52904, 51132, 50894, 51964, 50952, 51489, 50808, 51516, 53841, 51139, 50829, 51572, 50908, 51180, 54169, 50883, 75439, 51132, 51090, 54263, 53030, 51392, 50829, 51193, 51359, 50453, 53038, 50967, 51308, 50967, 51275, 51095, 51435, 51095, 51068, 51467, 50908, 51453, 50834, 51193, 51359, 51621, 50863, 52894, 50930, 53918, 51446, 52150, 52379, 50688, 50325, 51307, 51876, 50858, 51435, 50967, 51578, 51215, 51837, 51177, 52455, 56166, 51132, 55461, 51135, 53420, 51132, 50930, 50688, 50316, 50838, 51876, 51073, 51153, 51212, 52453, 53744, 51132, 50930, 60656, 51132, 51014, 50688, 50316, 52916, 51435, 51235, 51578, 51192, 51837, 51177, 53316, 63851, 53670, 51526, 50806, 51876, 50873, 51153, 51043, 68329, 58034, 50925, 54003, 52904, 64670, 51964, 50830, 51489, 50800, 51516, 52218, 51130, 66687, 76517, 54169, 50883, 51618, 52805, 51132, 51016, 53316, 50829, 51193, 51359, 50453, 53038, 50967, 51308, 51095, 51275, 50967, 51435, 51095, 51068, 51406, 50908, 51453, 50834, 51193, 51307, 73788, 52894, 50930, 52150, 52379, 50688, 50325, 51307, 51876, 50858, 51435, 51175, 51578, 50967, 51837, 51177, 53552, 56166, 51132, 54452, 51179, 53738, 51132, 50930, 50688, 50316, 50838, 51876, 51048, 51153, 51101, 52453, 54316, 51132, 51864, 52917, 75353, 52817, 50803, 50688, 50316, 54573, 51435, 51235, 51578, 51173, 51837, 51121, 53316, 54883, 52817, 51052, 53670, 51526, 50879, 52817, 50803, 51876, 50849, 51153, 51178, 68329, 52817, 50860, 54003, 52904, 51132, 50950, 51964, 50910, 51489, 50808, 51516, 53841, 51130, 55262, 52756, 50860, 51983, 51180, 54109, 55551, 52756, 50860, 61625, 51132, 51016, 56319, 50829, 51193, 51359, 50453, 53664, 50882, 53038, 51095, 51308, 51095, 51275, 50967, 51435, 51095, 51068, 51406, 53556, 52756, 50950, 51762, 51193, 51359, 50459, 52817, 51739, 50870, 52894, 50930, 52756, 51138, 52150, 51184, 50688, 50325, 51264, 51876, 50859, 51435, 51215, 51578, 50967, 51837, 51177, 52120, 56166, 51132, 54452, 51135, 53420, 51132, 50962, 50688, 50316, 50838, 51876, 51048, 51153, 51101, 52453, 53744, 51132, 51864, 52917, 75353, 54580, 51819, 75761, 50688, 50316, 54573, 51435, 51238, 51578, 51173, 51837, 51177, 53316, 64911, 51819, 72764, 51526, 50893, 51783, 50859, 51876, 50849, 51153, 51043, 51762, 50871, 51998, 50435, 51555, 51033, 54052, 50891, 50861, 55177, 57097, 50894, 51964, 50830, 51489, 50859, 51516, 52218, 51139, 50829, 68251, 54580, 51998, 51584, 51420, 54109, 72199, 51998, 50447, 54942, 51998, 51722, 51508, 79929, 65656, 51132, 50896, 54580, 51998, 51584, 55182, 51392, 50829, 51193, 51359, 50877, 51998, 50453, 55663, 55177, 51783, 51235, 53038, 51095, 51308, 50967, 51275, 50967, 51435, 50967, 51068, 51467, 75816, 52254, 51453, 50834, 51193, 51307, 73788, 52894, 50962, 52150, 51184, 50688, 50325, 51264, 51876, 50858, 51435, 51215, 51578, 50967, 51837, 51101, 52455, 56166, 51132, 54452, 51044, 54213, 51132, 50930, 50688, 50316, 50838, 51876, 51048, 51153, 51101, 52453, 53744, 51132, 50930, 53664, 50950, 59195, 51132, 51014, 52817, 50803, 50688, 50316, 54573, 51435, 51160, 51578, 51173, 51837, 51101, 53316, 54956, 52817, 51805, 53670, 51526, 50893, 70060, 51153, 51194, 68329, 52817, 52651, 51437, 53115, 64670, 51964, 50830, 51489, 50859, 51516, 53841, 51139, 55604, 52756, 51805, 70041, 54109, 56156, 53664, 50950, 61625, 51132, 51016, 52756, 54886, 51392, 50829, 51193, 51307, 50453, 53038, 51095, 51308, 51095, 51275, 51095, 51435, 51110, 51068, 51467, 53556, 52756, 50823, 51762, 51193, 51359, 51621, 50863, 52894, 50930, 52756, 50803, 52150, 51184, 50688, 50325, 51307, 51876, 50821, 51435, 51215, 51578, 50967, 51837, 51101, 52455, 56166, 51132, 50962, 53200, 54312, 51179, 53738, 51132, 50930, 53664, 51309, 50688, 50316, 50838, 51876, 51073, 51153, 51101, 52321, 53744, 51132, 50890, 60656, 51132, 51014, 54580, 51819, 75761, 50688, 50316, 53866, 51435, 51235, 51578, 51192, 51837, 51177, 53316, 64911, 51819, 51532, 53670, 51526, 50879, 51783, 50859, 70060, 51153, 51194, 51762, 50871, 51998, 50435, 51555, 51033, 54003, 72686, 55177, 57097, 50894, 51964, 50952, 51489, 50808, 51516, 53841, 51041, 66687, 53384, 54580, 51998, 51584, 50854, 59683, 72199, 51998, 50447, 54942, 51998, 51722, 50858, 51960, 50906, 65656, 51132, 50896, 54580, 51998, 51584, 55182, 51392, 50834, 51193, 51359, 50877, 51998, 50453, 55663, 55177, 51783, 51160, 53038, 51095, 51308, 50967, 51275, 50967, 51435, 51095, 51068, 51467, 75816, 52254, 51453, 50834, 51193, 51264, 74262, 52894, 50962, 52150, 51184, 50688, 50325, 51307, 51876, 50858, 51435, 50967, 51578, 51215, 51837, 51101, 52120, 56390, 51132, 55461, 51044, 53738, 51132, 50930, 50688, 50316, 50838, 51876, 51290, 51153, 51212, 52453, 54316, 51132, 51864, 52917, 75353, 52817, 50803, 50688, 50316, 52916, 51435, 51238, 51578, 51173, 51837, 51121, 56319, 54883, 53036, 51052, 53814, 51526, 50893, 53918, 50860, 51876, 50849, 51153, 51194, 71325, 54052, 53018, 51132, 50894, 62351, 50823, 51964, 50830, 51489, 50808, 51516, 52218, 51041, 66687, 53858, 58034 ]

[ 0, 250, 15855, 2125, 4246, 3551, 139, 8, 24896, 6, 42, 765, 2214, 7630, 6568, 10, 25306, 5466, 6, 1969, 13, 10, 5386, 50, 28339, 822, 1471, 4, 8504, 11, 83, 3694, 19, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 22848, 10, 33215, 16739, 9, 230, 119, 1176, 406, 6, 211, 406, 6, 163, 119, 6, 230, 6, 8, 211, 406, 6, 2351, 10, 13363, 28191, 3222, 5785, 227, 1109, 8, 2933, 6711, 29, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 53879, 56111, 54807, 54675, 53448, 57611, 53155, 51055, 50444, 53448, 54554, 54807, 51055, 50799, 53155, 56111, 53941, 54675, 53155, 57611, 53448, 51055, 50444, 54807, 54554, 53448, 51055, 50799, 53879, 56111, 54807, 54675, 53448, 57611, 53155, 51055, 50444, 53448, 54554, 54807, 51055, 50799, 53155, 56111, 53941, 54675, 53448, 57611, 53155, 51055, 50444, 53448, 54554, 51951, 51055, 54807, 51055, 50799, 52142, 51072, 52249, 51184, 53879, 51795, 50426, 52142, 57611, 52142, 51685, 50456, 53879, 50936, 77630, 51184, 53398, 61912, 51951, 54675, 52142, 57611, 54113, 57626, 52142, 56059, 51951, 54554, 52249, 57973, 51951, 50936, 50799, 52142, 51072, 51967, 51184, 56774, 51795, 50426, 52142, 57611, 52142, 51685, 50456, 56774, 50936, 50799, 53928, 51184, 57889, 61912, 51951, 54675, 52142, 57611, 54113, 57626, 52142, 56059, 51951, 54554, 52249, 57973, 51951, 50936, 50799, 52142, 51072, 52813, 51184, 55030, 51795, 50426, 51967, 57611, 51967, 51685, 50456, 55030, 50936, 77435, 51352, 56311, 51795, 50420, 51967, 58595, 52130, 69657, 52249, 51192, 50438, 52130, 60815, 51967, 58317, 52521, 50936, 52521, 57973, 52682, 50936, 53928, 51192, 57889, 50936, 50799, 53992, 51009, 51967, 51009, 65660, 51009, 50799, 53879, 56111, 54807, 54675, 53448, 57611, 53155, 51055, 50444, 53448, 54554, 54807, 51055, 50799, 53155, 56111, 53941, 54675, 53155, 57611, 53448, 51055, 50444, 54807, 54554, 53448, 51055, 50799, 53879, 56111, 54807, 54675, 53448, 57611, 53155, 51055, 50444, 53448, 54554, 54807, 51055, 50799, 53155, 56111, 53941, 54675, 53448, 57611, 53155, 51055, 50444, 53448, 54554, 51951, 51055, 54807, 51055, 50799, 52142, 51072, 52249, 51184, 53879, 51795, 50426, 52142, 57611, 52142, 51685, 50456, 53879, 50936, 77630, 51184, 53398, 61912, 51951, 54675, 52142, 57611, 54113, 57626, 52142, 56059, 51951, 54554, 52249, 57973, 51951, 50936, 50799, 52142, 51072, 51967, 51184, 56774, 51795, 50426, 52142, 57611, 52142, 51685, 50456, 56774, 50936, 50799, 53928, 51184, 57889, 61912, 51951, 54675, 52142, 57611, 54113, 57626, 52142, 56059, 51951, 54554, 52249, 57973, 51951, 50936, 50799, 52142, 51072, 52813, 51184, 55030, 51795, 50426, 51967, 57611, 51967, 51685, 50456, 55030, 50936, 77435, 51352, 56311, 51795, 50420, 51967, 58595, 52130, 69657, 52249, 51192, 50438, 52130, 60815, 51967, 58317, 52521, 50936, 52521, 57973, 52682, 50936, 53928, 51192, 57889, 50936, 50799, 53992, 51009, 51967, 51009, 65660, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 20902, 3495, 3152, 2214, 14, 22750, 1626, 11098, 8, 10563, 6, 1969, 13, 5, 1619, 191, 4, 590, 10, 11739, 9, 2382, 3459, 6, 3459, 6, 8, 21979, 29589, 6, 2800, 30, 21072, 8, 21979, 9590, 6, 24, 11498, 41, 20425, 2877, 11, 204, 73, 306, 86, 23, 41, 12447, 1001, 20889, 4, 8504, 11, 5, 762, 9, 211, 538, 6, 5, 1349, 1575, 10, 16331, 33215, 6184, 9, 211, 401, 8, 83, 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 ]

[ 54458, 56020, 51281, 61001, 51023, 51158, 50431, 51185, 51090, 50434, 51023, 54362, 51281, 51060, 50443, 51185, 51290, 50446, 51281, 57099, 51020, 51167, 50454, 51185, 51055, 50458, 51020, 50884, 50799, 51268, 66553, 51023, 51054, 51089, 51014, 50423, 51495, 51377, 50427, 51089, 51388, 50434, 51815, 52783, 51495, 50896, 51282, 51742, 51089, 51054, 51023, 51454, 50446, 51023, 51014, 51089, 51014, 51495, 50830, 51893, 60746, 52396, 51495, 51055, 51089, 51603, 51023, 51454, 50458, 53076, 58822, 50828, 70782, 50863, 51083, 50837, 78253, 51368, 50818, 51195, 50884, 51924, 51167, 50929, 51178, 51076, 72875, 55614, 51322, 51100, 51830, 50914, 50422, 51401, 51000, 51083, 50971, 72826, 51195, 50840, 51390, 50890, 51076, 50878, 50929, 51312, 50423, 51322, 53049, 51401, 50971, 51089, 50904, 76910, 51350, 50887, 51366, 51824, 51390, 51173, 51076, 51101, 50816, 53237, 55882, 51830, 51159, 50433, 76889, 51076, 64160, 51401, 51000, 51089, 50941, 72826, 51350, 50809, 51366, 50854, 51590, 73256, 52950, 51401, 51126, 51083, 50971, 51668, 50889, 51368, 50855, 51195, 50840, 51322, 50873, 51830, 50943, 51390, 51541, 58352, 51076, 72645, 56892, 51401, 51126, 51083, 50941, 51368, 50855, 51195, 50809, 51322, 55758, 51401, 50984, 51089, 50904, 79425, 51350, 50887, 51830, 64019, 53237, 57399, 51366, 51212, 50458, 51401, 51126, 51089, 50941, 51368, 50855, 51350, 50809, 51366, 50855, 51390, 61845, 50834, 70782, 51123, 51083, 50971, 74808, 51368, 50833, 51195, 50840, 51390, 51215, 51830, 77749, 51551, 55809, 57666, 51322, 50873, 50422, 51083, 50941, 51401, 51126, 51195, 50809, 51368, 50855, 51322, 50942, 51390, 51379, 50426, 51401, 51126, 51089, 50941, 51368, 50855, 51350, 50809, 51830, 59451, 53237, 57334, 51366, 70935, 51401, 50971, 51089, 50904, 76910, 51350, 50887, 51366, 50925, 51390, 61845, 52600, 51401, 51126, 51083, 50904, 51668, 51091, 51368, 50855, 51195, 50887, 51893, 51215, 51830, 51056, 50947, 51013, 60026, 58159, 51322, 74307, 51083, 50971, 51401, 51126, 51195, 50840, 51368, 50855, 51322, 50813, 51893, 64466, 51401, 51000, 51089, 50864, 72826, 72708, 51830, 51109, 50816, 53237, 57399, 51366, 67164, 51401, 51000, 51089, 50863, 72826, 51350, 50818, 51366, 50942, 53076, 55941, 50835, 66821, 51126, 51763, 50982, 51389, 51294, 68834, 51482, 50820, 51924, 50806, 52468, 50807, 50929, 51215, 51076, 51215, 64082, 57030, 51664, 75026, 51282, 50971, 51763, 51126, 76997, 51482, 50855, 51664, 50812, 51390, 50940, 75655, 50947, 66659, 51078, 66010, 51763, 51000, 51595, 51000, 51482, 50836, 51545, 50836, 51390, 50967, 52468, 50914, 50947, 52504, 53584, 57334, 51912, 68570, 51078, 50878, 50947, 66855, 51595, 50971, 51763, 50941, 51545, 50840, 51482, 50809, 51912, 50833, 51590, 61845, 57352, 51078, 50914, 50947, 60315, 51763, 51126, 51282, 51000, 67488, 51482, 50855, 68541, 52468, 51048, 51390, 51362, 57339, 55698, 51664, 50978, 50446, 51763, 51126, 51282, 50971, 51482, 50855, 76997, 51664, 53639, 51763, 51128, 51595, 50971, 51482, 74715, 50840, 52468, 53030, 53237, 57399, 51912, 78450, 51763, 51000, 51595, 50971, 51482, 50836, 51545, 50840, 51912, 50812, 51390, 68067, 56842, 51078, 51356, 68266, 51126, 51282, 51000, 67879, 51482, 50855, 68541, 51390, 51215, 52468, 50807, 58135, 59527, 51664, 71437, 51763, 51126, 51282, 50971, 51482, 50855, 76997, 51664, 50942, 51390, 61649, 51763, 51000, 51595, 50870, 51482, 50836, 51545, 50846, 52468, 66404, 53584, 54883, 51912, 79624, 51763, 51000, 51595, 50904, 51482, 50836, 51545, 50887, 51390, 61845, 54606, 51912, 59577, 51763, 51126, 51282, 50941, 51216, 51294, 51482, 50855, 51265, 50809, 51893, 51379, 52468, 50889, 50947, 51091, 58135, 58159, 51664, 74307, 51763, 50971, 51282, 50904, 51482, 50840, 51265, 50887, 51893, 51090, 50447, 51664, 53938, 51763, 50971, 51595, 50971, 51482, 50840, 51545, 50840, 52468, 55107, 53110, 59753, 51912, 75574, 51763, 50863, 51595, 50825, 51482, 50818, 51545, 50895, 53076, 61845, 54991, 51912, 50810, 70782, 50971, 51083, 50825, 51098, 50889, 76910, 51195, 50895, 51924, 51379, 51830, 50889, 50929, 51043, 51076, 51194, 55809, 57030, 51322, 50917, 50422, 51401, 51126, 51083, 50971, 51368, 50855, 51195, 50840, 51390, 50830, 63614, 51076, 62370, 50929, 51884, 50426, 51401, 51000, 51089, 50904, 72826, 51350, 50887, 51366, 51058, 51390, 51060, 51830, 50943, 51076, 71939, 53237, 56512, 51401, 51126, 51089, 50941, 51368, 50855, 51350, 50809, 51366, 50810, 51590, 50830, 76889, 51076, 64267, 52742, 51401, 51126, 51083, 50941, 51668, 50889, 51368, 50855, 51195, 50809, 51830, 50914, 51390, 51294, 50929, 50943, 51076, 51013, 55809, 57270, 51322, 72143, 51083, 50971, 51401, 51128, 51195, 50840, 70711, 51322, 52843, 51401, 51126, 51089, 50941, 51368, 50855, 51350, 50809, 51830, 64019, 52995, 57399, 51366, 73119, 51401, 51000, 51089, 50941, 72826, 51350, 50809, 51366, 50810, 51390, 68067, 50834, 70782, 51000, 51083, 50971, 74808, 72826, 51195, 50840, 51390, 50967, 51830, 51157, 50929, 51551, 55809, 56075, 51322, 50873, 50422, 51083, 51000, 51401, 51297, 65033, 51368, 50813, 51390, 51033, 50423, 51322, 53803, 51401, 51000, 51089, 50904, 72826, 51350, 50887, 51390, 51178, 51830, 59451, 52995, 57334, 51366, 67632, 51401, 51126, 51089, 50971, 51368, 50855, 74609, 51366, 50878, 51924, 63799, 57352, 50947, 64740, 51401, 51126, 51083, 50904, 51668, 50889, 51368, 50855, 51195, 50887, 51322, 50977, 51830, 50943, 55809, 57728, 51083, 50941, 51401, 50928, 51195, 50809, 51368, 50839, 51390, 51286, 50447, 51322, 52848, 51401, 51000, 51089, 50864, 72826, 72708, 51830, 70229, 52995, 56012, 51366, 77930, 51401, 50891, 51089, 50863, 51368, 50828, 51350, 50818, 51366, 63250, 50846, 68266, 50941, 51389, 51158, 51482, 50809, 52468, 50795, 51893, 51483, 51078, 51047, 50947, 51183, 62043, 57829, 51664, 77455, 53076, 51631, 51893, 51175, 50434, 53076, 54930, 51390, 51215, 50960, 51283, 51078, 51477, 50801, 60635, 51590, 51090, 50458, 51229, 50915, 55753, 50998, 50948, 50929, 50924, 50422, 51282, 50857, 51265, 50962, 51934, 55508, 54069, 53737, 51346, 50426, 69211, 51265, 50858, 51934, 50923, 63386, 50929, 56867, 59076, 50960, 51109, 51078, 51267, 50434, 51083, 51806, 51282, 51709, 51389, 51091, 51195, 51048, 51265, 51073, 51390, 51054, 52468, 51562, 51664, 51291, 50816, 61312, 51390, 51483, 50816, 54255, 77278, 51899, 59552, 51390, 62851, 56904, 51311, 51359, 70782, 50984, 51083, 50907, 74808, 79425, 51195, 50808, 51924, 51173, 51830, 50889, 50929, 51359, 50960, 51359, 50856, 55614, 51322, 74430, 51401, 51128, 51083, 51000, 70711, 65033, 51322, 50833, 51390, 58798, 51401, 51123, 51089, 50904, 51368, 50833, 51350, 50887, 51390, 50967, 51830, 55107, 52995, 56670, 51366, 73308, 51401, 51126, 51089, 51000, 51368, 50855, 66098, 51366, 50862, 51590, 64785, 52742, 51401, 51128, 51083, 50941, 51668, 50807, 70711, 51195, 50809, 51390, 51175, 51830, 69238, 58159, 51322, 75097, 51083, 51000, 51401, 51128, 65033, 70711, 51322, 50854, 51390, 58710, 51401, 51000, 51089, 50904, 72826, 51350, 50887, 51924, 51095, 51830, 55107, 52995, 57399, 51366, 71295, 51401, 50870, 51089, 50863, 51368, 50846, 51350, 50818, 51366, 50942, 51390, 58396, 52995, 50835, 66821, 50904, 51763, 50971, 67879, 51265, 50887, 51482, 50840, 51664, 51100, 52468, 50807, 51078 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 2214, 19, 10, 1619, 16464, 6, 4246, 385, 922, 438, 15677, 6, 30062, 620, 7085, 12280, 642, 6, 13305, 6, 8, 21072, 6, 70, 1375, 23, 41, 178, 5285, 20889, 11, 204, 73, 306, 86, 4, 20, 2125, 16, 11, 5, 762, 9, 12608, 538, 6, 19, 10, 33215, 16739, 9, 12608, 6, 2060, 6, 12608, 6, 8, 272, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51414, 50975, 51327, 50975, 51980, 50975, 52566, 57343, 51642, 50920, 51642, 52819, 58187, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 53171, 50823, 53267, 50975, 52566, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 51337, 50444, 55386, 53798, 52932, 50823, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50456, 53171, 50823, 54969, 50823, 50799, 53001, 51059, 54757, 50975, 54361, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 58187, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 51980, 51059, 54757, 50975, 54361, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 75926, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50456, 54969, 50823, 74149, 50975, 51327, 50975, 51980, 50975, 52566, 57343, 51642, 50920, 51642, 52819, 58187, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 53171, 50823, 53267, 50975, 52566, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 51337, 50444, 55386, 53798, 52932, 50823, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50456, 53171, 50823, 54969, 50823, 50799, 53001, 51059, 54757, 50975, 54361, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 58187, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 56822, 51059, 54757, 50975, 54361, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 75926, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50456, 54969, 50823, 74149, 50975, 51327, 50975, 51980, 50975, 52566, 57343, 51642, 50920, 51642, 52819, 58187, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 53171, 50823, 53267, 50975, 52566, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 51337, 50444, 55386, 53798, 52932, 50823, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50456, 53171, 50823, 54969, 50823, 50799, 53001, 51059, 54757, 50975, 54361, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 58187, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 51980, 51059, 54757, 50975, 54361, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 75926, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50456, 54969, 50823, 74149, 50975, 51327, 50975, 51980, 50975, 52566, 57343, 51642, 50920, 51642, 52819, 58187, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 53171, 50823, 53267, 50975, 52566, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 51337, 50444, 55386, 53798, 52932, 50823, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50456, 53171, 50823, 54969, 50823, 50799, 53001, 51059, 54757, 50975, 54361, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 58187, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 56822, 51059, 54757, 50975, 54361, 50975, 54254, 70045, 51642, 50920, 51642, 52819, 75926, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50456, 54969, 50823, 50799, 53267, 50975, 52566, 50975, 54254, 50975, 50666, 50288, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 51476, 50823, 54757, 50823, 52566, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 51687, 50823, 54254, 53798, 51231, 50823, 52566, 50823, 54254, 50823, 53039, 57343, 51642, 50920, 51642, 50456, 51651, 50823, 54740, 50823, 79480, 51059, 54757, 50975, 54361, 50975, 50666, 50295, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 54757, 50823, 54361, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 54361, 50823, 53000, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 53039, 53798, 54361, 50823, 53039, 57343, 51642, 50920, 51642, 50456, 54740, 50823, 50799, 52566, 50975, 54254, 50975, 54428, 50975, 50666, 50288, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 53267, 50823, 52566, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 51476, 50823, 54757, 50823, 52566, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 51687, 50823, 54254, 53798, 51231, 50823, 54757, 50823, 52566, 50823, 53039, 57343, 51642, 50920, 51642, 50456, 51651, 50823, 54740, 50823, 74149, 51059, 54361, 50975, 54740, 50975, 54428, 50975, 50666, 50295, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 54757, 50823, 54361, 50823, 54254, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 54757, 50975, 54361, 50975, 53000, 60361, 51642, 50920, 51642, 52819, 75926, 52650, 50975, 54361, 70045, 51642, 50920, 51642, 50799, 53267, 50975, 52566, 50975, 54254, 51059, 50666, 50288, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 53267, 50823, 52566, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 51651, 50823, 52566, 50823, 54254, 50823, 54740, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 51414, 50823, 54428, 53798, 51327, 50823, 54254, 50823, 54740, 50823, 53647, 57343, 51642, 50920, 51642, 50456, 52109, 50823, 56976, 50823, 50799, 51980, 51059, 53039, 50975, 53647, 50975, 58143, 50975, 75153, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 53039, 50823, 53647, 57343, 51642, 50920, 51642, 50432, 54254, 50823, 52819, 58450, 51980, 50823, 53039, 50823, 53647, 50823, 58143, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 52109, 50823, 56976, 53798, 51327, 50823, 54254, 50823, 53039, 50823, 53647, 57343, 51642, 50920, 51642, 50456, 51414, 50823, 54428, 50823, 50799, 51651, 51059, 54254, 50975, 53000, 50975, 54740, 50975, 50666, 50293, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 54254, 50823, 53000, 57343, 51642, 50920, 51642, 50432, 54757, 50823, 52819, 58450, 52109, 50823, 53000, 50823, 54740, 50823, 56976, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 51327, 50823, 53647, 53798, 51414, 50823, 54428, 57343, 51642, 50920, 51642, 50456, 51651, 50823, 54740, 50823, 73409, 51059, 54757, 50975, 54361, 50975, 54254, 50975, 50666, 50295, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 54757, 50823, 54361, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 54361, 50823, 53000, 50823, 53647, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 56976, 53798, 54361, 50823, 54428, 57343, 51642, 50920, 51642, 50456, 54740, 50823, 50799, 53267, 50975, 52566, 50975, 54254, 50975, 50666, 50288, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 53267, 50823, 52566, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 51476, 50823, 54757, 50823, 52566, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 51687, 50823, 54254, 53798, 51231, 50823, 54757, 50823, 52566, 50823, 53039, 57343, 51642, 50920, 51642, 50456, 51651, 50823, 54740, 50823, 79480, 51059, 54757, 50975, 54361, 50975, 50666, 50295, 51407, 50913, 51642, 50920, 51642, 52819, 58187, 54757, 50823, 54361, 57343, 51642, 50920, 51642, 50432, 54969, 50823, 52819, 58450, 54361, 50823, 53647, 57343, 51642, 50920, 51642, 52819, 51337, 50444, 54428, 53798, 54361, 50823, 54428, 57343, 51642, 50920, 51642, 50456, 54740, 50823, 50799, 53267, 50975, 52566, 50975, 54254 ]

[ 0, 250, 5679, 26709, 8, 19448, 5175, 25771, 2214, 14, 7630, 6568, 10, 1472, 9, 980, 8, 3366, 12, 3341, 5466, 6, 4246, 10, 6755, 12547, 6, 38668, 22052, 6, 31391, 1672, 9590, 6, 21072, 6, 8, 2342, 4467, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 7212, 20889, 9, 1814, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 33215, 16739, 9, 163, 428, 6, 12608, 6, 8, 163, 428, 73, 495, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52591, 51165, 52829, 51357, 52829, 51093, 52720, 51182, 52720, 51426, 54373, 51394, 52829, 51304, 53201, 51558, 52720, 50796, 76501, 51882, 58215, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51362, 74636, 52337, 57380, 52337, 52398, 51293, 51716, 51313, 52606, 52337, 52914, 50821, 55751, 53197, 50829, 50652, 50276, 53241, 50420, 52914, 50858, 57539, 53803, 52914, 50921, 61502, 54215, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 51073, 52561, 51014, 52005, 59644, 52914, 50923, 65718, 51343, 51678, 51313, 52072, 67531, 50829, 50652, 50276, 53241, 50432, 54457, 67777, 50829, 54733, 52392, 50450, 54457, 51073, 51882, 50385, 54331, 55007, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51274, 52398, 51313, 52736, 51313, 52914, 52589, 50829, 50652, 50276, 52500, 50420, 52914, 54149, 52914, 57359, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 51013, 52561, 51021, 52005, 59644, 52914, 50923, 65718, 51294, 52072, 51313, 51678, 67531, 50829, 50652, 50276, 51655, 50432, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 50889, 51882, 50385, 54331, 55007, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51362, 52398, 51313, 51716, 51313, 52914, 50821, 55751, 53197, 50829, 50652, 50276, 53241, 50420, 52914, 50858, 57539, 53803, 52914, 50921, 61502, 54215, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 51073, 52561, 51014, 52005, 59644, 52914, 50923, 65718, 51343, 51678, 51313, 52072, 67531, 50829, 50652, 50276, 53241, 50432, 54457, 67777, 50829, 54733, 52392, 50450, 54457, 51073, 51882, 50385, 54331, 55007, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51274, 52398, 51313, 52736, 51293, 52914, 52589, 50829, 50652, 50276, 52500, 50420, 52914, 54149, 52914, 57359, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 51013, 52561, 51021, 52005, 59644, 52914, 50923, 65718, 51294, 51678, 51313, 52072, 67531, 50829, 50652, 50276, 51655, 50432, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 50889, 51882, 50385, 54331, 55007, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51362, 52398, 51313, 51716, 51313, 52914, 52589, 50829, 50652, 50276, 53241, 50420, 52914, 54149, 54503, 51454, 52914, 57359, 54457, 57394, 50829, 54733, 52392, 50438, 52004, 56646, 54503, 64466, 54457, 51073, 52561, 51014, 52005, 59644, 52914, 57241, 51893, 50911, 65718, 51343, 52072, 51313, 51678, 51313, 52031, 59872, 50829, 50652, 50276, 53241, 50420, 51674, 57625, 51674, 69467, 54457, 67777, 50829, 54733, 52392, 50444, 51209, 67424, 54457, 51073, 51882, 50385, 54331, 55007, 51408, 51235, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51274, 52398, 51313, 52736, 51313, 51674, 51055, 52914, 52589, 50829, 50652, 50276, 52500, 50420, 52914, 54149, 51772, 50948, 52914, 50921, 50431, 51772, 51896, 50432, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 51013, 52561, 51021, 52005, 59644, 52914, 50923, 65718, 51294, 51678, 51313, 52072, 67531, 50829, 50652, 50276, 51655, 50432, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 50889, 51882, 50385, 54331, 55007, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51362, 51716, 51313, 52398, 51313, 52914, 52589, 50829, 50652, 50276, 53241, 50420, 52914, 54149, 51674, 51016, 52914, 57359, 54457, 57394, 50829, 54733, 52392, 50438, 51209, 59591, 51674, 55260, 54457, 51073, 51674, 50893, 52561, 51014, 52005, 59644, 52914, 57241, 51893, 51343, 65718, 51343, 51678, 51313, 52072, 67531, 50829, 50652, 50276, 53241, 50426, 52031, 55214, 54457, 51364, 51209, 61025, 50829, 54733, 52392, 50450, 54457, 51073, 51882, 50385, 54331, 55007, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51274, 52398, 51313, 52736, 51313, 52914, 52589, 50829, 50652, 50276, 52500, 50420, 52914, 54149, 51772, 50948, 52914, 57359, 54457, 51141, 51256, 72330, 50829, 54733, 52392, 50444, 51256, 71381, 54457, 51013, 52561, 51021, 52005, 59753, 51451, 51167, 50455, 52914, 50923, 50461, 52072, 51313, 65718, 51294, 51678, 51445, 51772, 63968, 50829, 50652, 50276, 51655, 50432, 54457, 57394, 50829, 54733, 52392, 50450, 54457, 50889, 51882, 50385, 54331, 55007, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51362, 52398, 51313, 51716, 51313, 52914, 52589, 50829, 50652, 50276, 53241, 50420, 52914, 54149, 54503, 51016, 52914, 57359, 54457, 57394, 50829, 54733, 52392, 50438, 52004, 56209, 54503, 58833, 54457, 51073, 52561, 51014, 52005, 59644, 52914, 57241, 51893, 51343, 65718, 51343, 51678, 51313, 52072, 67531, 50829, 50652, 50276, 53241, 50426, 52031, 54729, 54457, 51364, 51209, 65506, 50829, 54733, 52392, 50450, 54457, 51073, 51882, 50385, 54331, 55007, 52655, 52485, 52914, 59022, 52561, 50859, 65718, 51274, 52398, 51313, 52736, 51293, 52914, 52589, 50829, 50652, 50276, 52500, 50420, 52914, 54149, 51772, 50893, 52914, 57359, 54457, 51141, 51256, 67777, 50829, 54733, 52392, 50450, 54457, 51013, 51772, 50795, 52561, 51021, 52005, 59644, 52914, 57241, 52031, 51336, 65718, 51294, 51678, 51313, 52072, 67531, 50829, 50652, 50276, 51655, 50432, 54457, 57394, 50829, 54733, 52392, 50438, 51334, 58040, 51408, 54811, 51674, 68031, 54457, 50889, 52005, 52920, 51674, 50806, 52894, 51364, 51821, 51148, 52398, 51148, 53034, 51148, 66451, 51148, 55825, 51244, 51408, 54454, 50798, 52953, 51132, 55548, 57514, 63995, 51148, 57842, 51336, 55464, 51244, 51678, 51148, 52072, 52096, 52009, 72213, 52802, 52005, 52920, 52914, 50830, 50799, 54064, 52096, 64724, 52096, 53034, 52096, 52547, 52096, 52914, 56728, 56075, 51727, 53073, 51526, 52122, 50420, 52914, 58798, 52914, 57748, 52914, 58732, 52766, 52914, 61897, 52914, 54596, 52914, 50952, 52005, 52920, 52914, 59022, 52914, 50887, 50799, 52914, 56728, 53203, 52914, 58798, 52914, 57748, 52914, 53071, 52766, 52914, 51167, 50447, 51882, 66911, 52655, 50936, 55609, 51353, 52233, 51313, 52606, 52096, 52398, 53413, 51716, 51313, 52914, 53435, 55751, 53197, 51539, 53940, 54605, 57539, 53065, 58364, 57395, 61502, 53340, 53940, 50982, 51974, 51539, 58364, 57481, 51674, 50911, 78727, 50982, 51180, 58364, 51258, 50445, 51408, 51566, 52320, 53940, 50366, 52271, 52920, 51334, 51575, 58364, 51258, 53053, 51307, 54064, 51445, 52072, 51313, 51408, 52090, 51539, 53940, 54605, 51334, 52195, 50791, 58364, 51258, 51544, 53940, 50982, 51974, 51539, 58364, 57481, 51678, 51148, 78727, 50982, 51180, 58364, 51258, 52320, 53940, 50366, 52271, 52920, 50852, 53940, 51258, 52894, 51264, 53496, 51313, 52398, 53413, 52736, 51313, 53792, 53197, 51539, 53940, 54605, 57539, 53065, 58364, 57395, 61502, 53340, 53940, 50982, 51974, 51539, 58364, 57481, 51674, 51575, 53940, 54189, 51408, 56832, 58364, 56663, 51334, 50893, 78727, 50366, 52271, 52920, 51408, 70817, 58364, 51258, 54293, 51359, 54064, 51313, 52072, 51313, 58140, 53940, 54605, 51408, 54444, 58364, 57395, 51408, 51196, 78727, 50982, 51974, 51539, 58364, 57481, 51678, 51148, 78727, 50982, 51180, 58364, 51258, 52320, 53940, 50366, 52271, 52920, 50852, 53940, 51258, 55609, 51353, 52233, 51313, 52606, 52096, 52398, 53413, 51716, 51313, 55751, 53197, 51539, 53940, 54605, 57539, 53065, 58364, 57395, 61502, 53340, 53940, 50982, 51974, 51539, 58364, 57481, 51674, 51167, 78727, 50982, 51180, 58364, 51258, 50446, 51408, 51167, 52320, 53940, 50366, 52271, 59753, 51334, 51167, 51453, 58364, 51258, 53053, 51307, 54064 ]

[ 0, 250, 15352, 30054, 3495, 3152, 2214, 19, 10, 1372, 8, 19448, 16464, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21072, 6, 3459, 9590, 6, 8, 3741, 27374, 594, 4, 8504, 11, 5, 762, 9, 83, 3694, 19, 10, 7212, 20889, 9, 8940, 13410, 228, 2289, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 274, 6, 272, 6, 230, 6, 274, 6, 8, 211, 119, 406, 3639, 7, 63, 13363, 28191, 13569, 9862, 6, 442, 24, 1969, 13, 3618, 6288, 50, 25, 10, 19834, 13, 27252, 3423, 9, 657, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 50432, 50770, 50321, 68875, 53509, 52782, 50441, 55279, 52782, 50444, 53509, 52192, 50447, 55279, 52192, 50450, 53509, 51376, 50453, 55279, 69096, 53509, 51174, 50459, 55279, 51174, 50799, 51435, 50896, 53509, 50851, 59372, 50931, 57231, 50807, 51248, 52054, 51685, 50417, 55279, 50851, 50945, 51049, 54711, 53509, 50851, 50945, 51049, 55054, 55279, 50851, 50945, 52227, 53049, 53509, 50851, 50945, 51907, 57102, 51435, 51160, 55279, 50851, 59372, 50931, 51160, 74055, 53509, 50851, 50945, 51049, 55270, 55279, 50851, 50945, 52227, 53415, 51489, 50896, 53509, 50851, 59372, 50968, 57231, 50807, 52066, 50441, 55279, 50851, 50945, 51049, 54478, 53509, 50851, 50945, 51049, 55854, 55279, 50851, 50945, 52227, 53639, 53509, 50851, 50945, 51907, 58031, 51489, 51160, 55279, 50851, 59372, 50968, 51160, 52066, 50456, 53509, 50851, 50945, 51049, 56573, 55279, 50851, 50945, 52227, 50833, 50799, 51578, 50896, 53509, 50851, 59372, 50999, 57231, 50807, 52066, 50417, 55279, 50851, 50945, 51049, 54711, 53509, 50851, 50945, 51049, 55054, 55279, 50851, 50945, 52227, 53049, 53509, 50851, 50945, 51907, 57102, 51578, 51160, 55279, 50851, 59372, 50999, 51160, 74055, 53509, 50851, 50945, 51049, 55270, 55279, 50851, 50945, 52227, 53415, 51489, 50896, 53509, 50851, 59372, 50968, 57231, 50807, 52066, 50441, 55279, 50851, 50945, 51049, 54478, 53509, 50851, 50945, 51049, 55854, 55279, 50851, 50945, 52227, 53639, 53509, 50851, 50945, 51907, 58031, 51489, 51160, 55279, 50851, 59372, 50968, 51160, 52066, 50456, 53509, 50851, 50945, 51049, 56573, 55279, 50851, 50945, 52227, 50833, 50799, 51435, 50896, 53509, 50851, 73834, 50931, 57231, 50807, 52066, 50417, 55279, 50851, 51096, 51049, 54711, 53509, 50851, 51096, 51049, 55054, 55279, 50851, 78094, 50851, 51096, 52227, 53049, 53509, 50851, 51096, 51907, 57102, 51435, 51160, 55279, 50851, 78094, 50851, 73834, 50931, 51160, 74055, 53509, 50851, 51096, 51049, 55270, 55279, 50851, 78094, 50851, 51096, 52227, 53415, 51489, 50896, 53509, 50851, 73834, 50968, 57231, 50807, 52066, 50441, 55279, 50851, 78094, 50851, 51096, 51049, 54478, 53509, 50851, 51096, 51049, 55854, 55279, 50851, 51096, 52227, 53639, 53509, 50851, 51096, 51907, 58031, 51489, 51160, 55279, 50851, 73834, 50968, 51160, 52066, 50456, 53509, 50851, 51096, 51049, 56573, 55279, 50851, 51096, 52227, 50833, 50799, 51578, 50896, 53509, 50851, 73834, 50999, 57231, 50807, 52066, 50417, 55279, 50851, 51096, 51049, 54711, 53509, 50851, 51096, 51049, 55054, 55279, 50851, 51096, 52227, 53049, 53509, 50851, 51096, 51907, 57102, 51578, 51160, 55279, 50851, 73834, 50999, 51160, 74055, 53509, 50851, 51096, 51049, 55270, 55279, 50851, 51096, 52227, 53415, 51489, 50896, 53509, 50851, 73834, 50968, 57231, 50807, 52066, 50441, 55279, 50851, 51096, 51049, 54478, 53509, 50851, 51096, 51049, 55854, 55279, 50851, 51096, 52227, 53639, 53509, 50851, 51096, 51907, 58031, 51489, 51160, 55279, 50851, 73834, 50968, 51160, 52066, 50456, 53509, 50851, 51096, 51049, 56573, 55279, 50851, 51096, 52227, 50833, 50799, 51435, 50896, 53509, 50851, 58237, 50931, 57231, 50807, 52066, 50417, 55279, 50851, 50953, 51049, 54711, 53509, 50851, 50953, 51049, 55054, 55279, 50851, 50953, 52227, 53049, 53509, 50851, 50953, 51907, 57102, 51435, 51160, 55279, 50851, 58237, 50931, 51160, 74055, 53509, 50851, 50953, 51049, 55270, 55279, 50851, 50953, 52227, 53415, 51489, 50896, 53509, 50851, 58237, 50968, 57231, 50807, 52066, 50441, 55279, 50851, 50953, 51049, 54478, 53509, 50851, 50953, 51049, 55854, 55279, 50851, 78094, 50851, 50953, 52227, 53639, 53509, 50851, 50953, 51907, 58031, 51489, 51160, 55279, 50851, 78094, 50851, 58237, 50968, 51160, 52066, 50456, 53509, 50851, 50953, 51049, 56573, 55279, 50851, 78094, 50851, 50953, 52227, 50833, 50799, 51948, 50896, 53509, 50851, 61197, 51081, 57231, 50807, 52066, 50417, 55279, 50851, 50964, 51049, 54711, 53509, 50851, 50964, 51049, 55054, 55279, 50851, 50964, 52227, 53049, 53509, 50851, 50964, 51907, 57102, 51948, 51160, 55279, 50851, 61197, 51081, 51160, 74055, 53509, 50851, 50964, 51049, 55270, 55279, 50851, 50964, 52227, 53415, 51489, 50896, 53509, 50851, 61197, 50968, 57231, 50807, 52066, 50441, 55279, 50851, 50964, 51049, 54478, 53509, 50851, 50964, 51049, 55854, 55279, 50851, 50964, 52227, 53639, 53509, 50851, 50964, 51907, 58031, 51489, 51160, 55279, 50851, 61197, 50968, 51160, 52066, 50456, 53509, 50851, 50964, 51049, 56573, 55279, 50851, 50964, 52227, 50833, 50799, 51435, 50896, 53509, 50851, 59372, 50931, 57231, 50807, 52066, 50417, 55279, 50851, 50945, 51049, 54711, 53509, 50851, 50945, 51049, 55054, 55279, 50851, 50945, 52227, 53049, 53509, 50851, 50945, 51907, 57102, 51435, 51160, 55279, 50851, 59372, 50931, 51160, 74055, 53509, 50851, 50945, 51049, 55270, 55279, 50851, 50945, 52227, 53415, 51489, 50896, 53509, 50851, 59372, 50968, 57231, 50807, 52066, 50441, 55279, 50851, 50945, 51049, 54478, 53509, 50851, 50945, 51049, 55854, 55279, 50851, 50945, 52227, 53639, 53509, 50851, 50945, 51907, 58031, 51489, 51160, 55279, 50851, 59372, 50968, 51160, 52066, 50456, 53509, 50851, 50945, 51049, 56573, 55279, 50851, 50945, 52227, 50833, 50799, 51578, 50896, 53509, 50851, 59372, 50999, 57231, 50807, 52066, 50417, 55279, 50851, 50945, 51049, 54711, 53509, 50851, 50945, 51049, 55054, 55279, 50851, 50945, 52227, 53049, 53509, 50851, 50945, 51907, 57102, 51578, 51160, 55279, 50851, 59372, 50999, 51160, 74055, 53509, 50851, 50945, 51049, 55270, 55279, 50851, 50945, 52227, 53415, 51489, 50896, 53509, 50851, 59372, 50968, 57231, 50807, 52066, 50441, 55279, 50851, 50945, 51049, 54478, 53509, 50851, 50945, 51049, 55854, 55279, 50851, 50945, 52227, 53639, 53509, 50851, 59372, 50770, 50321, 58799, 58031, 51489, 50896, 55279, 50851, 78094, 50851, 59372, 50968, 50896, 52066, 50456, 53509, 50851, 50945, 51049, 56573, 55279, 50851, 78094, 50851, 50945, 52227, 50833, 50799, 53509, 50851, 50945, 52218, 50807, 52066, 50417, 55279, 50851, 50945, 51049, 54711, 53509, 50851, 50945, 51049, 55054, 55279, 50851, 50945, 78362, 53509, 50851, 50945, 51907, 52959, 52765, 55279, 50851, 50945, 51049, 54150, 53509, 50851, 50945, 51049, 55270, 55279, 50851, 50945, 51049, 51724, 53509, 50851, 50945, 52218, 50807, 52066, 50441, 55279, 50851, 50945, 51049, 54478, 53509, 50851, 50945, 51049, 55854, 55279, 50851, 50945, 51049, 51757, 53509, 50851, 50945, 51907, 52959, 52809, 55279, 50851, 50945, 51049, 54622, 53509, 50851, 50945, 51049, 56573, 55279, 50851, 50945, 53365, 50799, 53509, 50851, 50945, 52218, 50807, 52066, 50417, 55279, 50851, 50945, 51049, 54711, 53509, 50851, 50945, 51049, 55054, 55279, 50851, 50945, 78362, 53509, 50851, 50945, 51907, 52959, 52765, 55279, 50851, 50945, 51049, 54150, 53509, 50851, 50945, 51049, 55270, 55279, 50851, 50945, 51049, 51724, 53509, 50851, 50945, 52218, 50807, 52066, 50441, 55279, 50851, 50945, 51049, 54478, 53509, 50851, 50945, 51049, 55854, 55279, 50851, 78094, 50851, 50945, 51049, 51757, 53509, 50851, 50945, 51907, 52959, 52809, 55279, 50851, 78094, 50851, 50945, 51049, 54622, 53509, 50851, 50945, 51049, 56573, 55279, 50851, 78094, 50851, 50945, 53365, 50799, 53509, 50851, 51096, 52218, 50807, 52066, 50417, 55279, 50851, 51096, 51049, 54711, 53509, 50851 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 980, 177, 16464, 6, 4246, 13305, 6, 38668, 20535, 6, 21072, 6, 3459, 9590, 6, 8, 36075, 8669, 4, 8504, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 1769, 20889, 9, 24543, 163, 5683, 4, 20, 33215, 16739, 9, 3676, 406, 6, 274, 6, 1918, 6, 272, 401, 6, 8, 274, 3639, 7, 63, 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, 0, 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, 55746, 69927, 52286, 50795, 55026, 53308, 51118, 50795, 79428, 54486, 53470, 51061, 50795, 74602, 55562, 53969, 51061, 50795, 74602, 55562, 53794, 51020, 50795, 71057, 57381, 53702, 51020, 51358, 51209, 51358, 57381, 51591, 54837, 51894, 54486, 51894, 61627, 51061, 50807, 51256, 50807, 55562, 55441, 51061, 50795, 74602, 54645, 51110, 55156, 51110, 55562, 51110, 55746, 51557, 50795, 52000, 50795, 54645, 53308, 51083, 50795, 51322, 50795, 55156, 53470, 51061, 50795, 74602, 55562, 53969, 51061, 50795, 74602, 55562, 53794, 51020, 50795, 71057, 57381, 53702, 51020, 50807, 51209, 50807, 57381, 50914, 54837, 51894, 55156, 51894, 52591, 51023, 50795, 51229, 50795, 60390, 53466, 51061, 50807, 51256, 50807, 55562, 55965, 51089, 50807, 51366, 50807, 56276, 55441, 51089, 50795, 51366, 50795, 54601, 51110, 54486, 51110, 56276, 51110, 55746, 51118, 50795, 79428, 54486, 53308, 51061, 50795, 74602, 55562, 53470, 51020, 50795, 71057, 57381, 53969, 51023, 50795, 51229, 50795, 60390, 53794, 51193, 50795, 51408, 50795, 61297, 53702, 51193, 50918, 51408, 50918, 55156, 51103, 55562, 51103, 61297, 51103, 66243, 51092, 50983, 51334, 50983, 55156, 51189, 55562, 51189, 61893, 69830, 51023, 50918, 51229, 50918, 60390, 51103, 55562, 51307, 61893, 51307, 55746, 51020, 50807, 51209, 50807, 57381, 55965, 51023, 50807, 51229, 50807, 60390, 55441, 51061, 50795, 74602, 55562, 53702, 51193, 50807, 51408, 50807, 55562, 50914, 61297, 50914, 61893, 50914, 55746, 51023, 50807, 51229, 50807, 55562, 50914, 60390, 50914, 61893, 56157, 51020, 50918, 51209, 50918, 56276, 51591, 57381, 51591, 61893, 51591, 55746, 69927, 52286, 50795, 55026, 53308, 51118, 50795, 79428, 54486, 53470, 51061, 50795, 74602, 55562, 53969, 51061, 50795, 74602, 55562, 53794, 51020, 50795, 71057, 57381, 53702, 51020, 51358, 51209, 51358, 57381, 51591, 54837, 51894, 54486, 51894, 61627, 51061, 50807, 51256, 50807, 55562, 55441, 51061, 50795, 74602, 54645, 51110, 55156, 51110, 55562, 51110, 55746, 51557, 50795, 52000, 50795, 54645, 53308, 51083, 50795, 51322, 50795, 55156, 53470, 51061, 50795, 74602, 55562, 53969, 51061, 50795, 74602, 55562, 53794, 51020, 50795, 71057, 57381, 53702, 51020, 50807, 51209, 50807, 57381, 50914, 54837, 51894, 55156, 51894, 52591, 51023, 50795, 51229, 50795, 60390, 53466, 51061, 50807, 51256, 50807, 55562, 55965, 51089, 50807, 51366, 50807, 56276, 55441, 51089, 50795, 51366, 50795, 54601, 51110, 54486, 51110, 56276, 51110, 55746, 51118, 50795, 79428, 54486, 53308, 51061, 50795, 74602, 55562, 53470, 51020, 50795, 71057, 57381, 53969, 51023, 50795, 51229, 50795, 60390, 53794, 51193, 50795, 51408, 50795, 61297, 53702, 51193, 50918, 51408, 50918, 55156, 51103, 55562, 51103, 61297, 51103, 66243, 51092, 50983, 51334, 50983, 55156, 51189, 55562, 51189, 61893, 69830, 51023, 50918, 51229, 50918, 60390, 51103, 55562, 51307, 61893, 51307, 55746, 51020, 50807, 51209, 50807, 57381, 55965, 51023, 50807, 51229, 50807, 60390, 55441, 51061, 50795, 74602, 55562, 53702, 51193, 50795, 51408, 50795, 55562, 50849, 61297, 50849, 61893, 50849, 50799, 51193, 50795, 51408, 50795, 55562, 50849, 61297, 50849, 61893, 53466, 51023, 50795, 51229, 50795, 55562, 50849, 60390, 50849, 61893, 53308, 51023, 50795, 51229, 50795, 55562, 50849, 60390, 50849, 61893, 53969, 51020, 50795, 71057, 56276, 50849, 57381, 50849, 61893, 53794, 51020, 52382, 51209, 52382, 56276, 53259, 57381, 53259, 61893, 53259, 50796, 50796, 50444, 58084, 50849, 55026, 50849, 54601, 50849, 51099, 54554, 58084, 50849, 55026, 50849, 54601, 50849, 51099, 55273, 58084, 50849, 55026, 50849, 54837, 50849, 51119, 50860, 50799, 58084, 50849, 55026, 50849, 54837, 50849, 52785, 50830, 51876, 50830, 51119, 50860, 51632, 50830, 51222, 51730, 76167, 65234, 54658, 52785, 50830, 51876, 50830, 51632, 50830, 51222, 51049, 54156, 52785, 50830, 51876, 50830, 51632, 50830, 51222, 51907, 52625, 52726, 52785, 50830, 51876, 50830, 51632, 50830, 51222, 51049, 54431, 58084, 50849, 55026, 50849, 54645, 50849, 52785, 50830, 51876, 50830, 51308, 50802, 51632, 50830, 51222, 51730, 52625, 52940, 58084, 50849, 55026, 50849, 54645, 50849, 52785, 50830, 51876, 50830, 51308, 50802, 51632, 50830, 51222, 51730, 51156, 54208, 58084, 50849, 55026, 50849, 54645, 50849, 52785, 50830, 51876, 50830, 51308, 50802, 51632, 50830, 51222, 51907, 52625, 52884, 58084, 51124, 55026, 51124, 54837, 51124, 52785, 50830, 51876, 50830, 51119, 50802, 51632, 50830, 51222, 51049, 50855, 62871, 50830, 51876, 50830, 51632, 50830, 51222, 51730, 52625, 53213, 52785, 50830, 51876, 50830, 51632, 50830, 51222, 51049, 54156, 52785, 50830, 51876, 50830, 51632, 50830, 51222, 51907, 52625, 52726, 52785, 50830, 51876, 50830, 51632, 50830, 51222, 51049, 54431, 52785, 50830, 51876, 50830, 51632, 50830, 51222, 51730, 52625, 52940, 58084, 50849, 55026, 50849, 54601, 50849, 52785, 50830, 51876, 50830, 51099, 50802, 51632, 50830, 51222, 51730, 51156, 54208, 58084, 50849, 55026, 50849, 54601, 50849, 52785, 50830, 51876, 50830, 51099, 50802, 51632, 50830, 51222, 51907, 52625, 52884, 58084, 50849, 55026, 50849, 54837, 50849, 52785, 50830, 51876, 50830, 51119, 50802, 51632, 50830, 51222, 51049, 50855, 50799, 77030, 51110, 58084, 51110, 54837, 51110, 52537, 50830, 51708, 50830, 51119, 50802, 51785, 50830, 51046, 51730, 52625, 53213, 52537, 50830, 51708, 50830, 51785, 50830, 51046, 51049, 54156, 52537, 50830, 51708, 50830, 51785, 50830, 51046, 51907, 52625, 52726, 52537, 50830, 51708, 50830, 51785, 50830, 51046, 51049, 54431, 77030, 50849, 58084, 50849, 54645, 50849, 52537, 50830, 51708, 50830, 51308, 50802, 51785, 50830, 51046, 51730, 52625, 52940, 77030, 50849, 58084, 50849, 54645, 50849, 52537, 50830, 51708, 50830, 51308, 50802, 51785, 50830, 51046, 51730, 51156, 54208, 77030, 50849, 58084, 50849, 54645, 50849, 52537, 50830, 51708, 50830, 51308, 50802, 51785, 50830, 51046, 51907, 52625, 52884, 77030, 51110, 58084, 51110, 54837, 51110, 52537, 50830, 51708, 50830, 51119, 50802, 51785, 50830, 51046, 51049, 50855, 67094, 50830, 51708, 50830, 51785, 50830, 51046, 51730, 52625, 53213, 52537, 50830, 51708, 50830, 51785, 50830, 51046, 51049, 54156, 52537, 50830, 51708, 50830, 51785, 50830, 51046, 51907, 52625, 52726, 52537, 50830, 51708, 50830, 51785, 50830, 51046, 51049, 54431, 52537, 50830, 51708, 50830, 51785, 50830, 51046, 51730, 52625, 52940, 77030, 50849, 58084, 50849, 54601, 50849, 52537, 50830, 51708, 50830, 51099, 50802, 51785, 50830, 51046, 51730, 51156, 54208, 77030, 50849, 58084, 50849, 54601, 50849, 52537, 50830, 51708, 50830, 51099, 50802, 51785, 50830, 51046, 51907, 52625, 52884, 77030, 50849, 58084, 50849, 54837, 50849, 52537, 50830, 51708, 50830, 51119, 50802, 51785, 50830, 51046, 51049, 50855, 50799, 56586, 51189, 54837, 51189, 54486, 51189, 53038, 50830, 51706, 50830, 51119, 51029, 52237, 50830, 51348, 51730, 52625, 53213, 53038, 50830, 51706, 50830, 52237, 50830, 51348, 51049, 54156, 53038, 50830, 51706, 50830, 52237, 50830, 51348, 51907, 52625, 52726, 65283, 51124, 56586, 51124, 54645, 51124, 53038, 50830, 51706, 50830, 51144, 50802, 52237, 50830, 51348, 51049, 54431, 53038, 50830, 51706, 50830, 52237, 50830, 51348, 51730, 52625, 52940, 53038, 50830, 51706, 50830, 52237, 50830, 51348, 51730, 51156 ]

[ 0, 250, 15352, 30054, 8, 19448, 3495, 2214, 4246, 41, 21979, 8669, 816, 5, 483, 33301, 6, 7513, 30, 41, 3459, 9590, 8, 21072, 4, 20, 1349, 16, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 12312, 13410, 228, 2289, 4, 20, 33215, 16739, 1171, 2060, 119, 6, 12608, 6, 274, 406, 6, 274, 119, 406, 428, 245, 73, 717, 428, 6, 8, 12608, 6, 2351, 10, 32625, 5466, 14, 7630, 6568, 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 ]

[ 57739, 57342, 53142, 50872, 52222, 50939, 52062, 51037, 52335, 51325, 69564, 56088, 58278, 53495, 63749, 51164, 52500, 51039, 52543, 52872, 51246, 51174, 76337, 56278, 55477, 51037, 52980, 73508, 51325, 53530, 64429, 51187, 52543, 52904, 51325, 51295, 52120, 52793, 54704, 50848, 51241, 50444, 80067, 50970, 54791, 52543, 50870, 51955, 51187, 51987, 55223, 50909, 52482, 50456, 51325, 56525, 51539, 52543, 50870, 59007, 51051, 50992, 51051, 50939, 51051, 51125, 51051, 51846, 51679, 51317, 51134, 51325, 51218, 52120, 52793, 58516, 51017, 52069, 51039, 52543, 52872, 50868, 52528, 50992, 52528, 50939, 52528, 51125, 52528, 57653, 56261, 50428, 50872, 51803, 50432, 51846, 50932, 51317, 51109, 51817, 54312, 51539, 52543, 52904, 50939, 52519, 51817, 51141, 52120, 52793, 52616, 57653, 52543, 53003, 51846, 50972, 51317, 50901, 56278, 52579, 51011, 53959, 54539, 52543, 50870, 60620, 64286, 56088, 51187, 52793, 58010, 52543, 52872, 51846, 51174, 51136, 50878, 56278, 55477, 51396, 61211, 50432, 51105, 51103, 52799, 51502, 51187, 52543, 50870, 63664, 52793, 55698, 51396, 51535, 50444, 51846, 50912, 51136, 54791, 52543, 50870, 51955, 51187, 51987, 52579, 51133, 51047, 58009, 52543, 50870, 75158, 52980, 50992, 51243, 51846, 50851, 51136, 53309, 51044, 52793, 52761, 50979, 52431, 63678, 52872, 50847, 65825, 50885, 52140, 57653, 51987, 52417, 51396, 53486, 51846, 50827, 72879, 51105, 50914, 58009, 52543, 50870, 63664, 52793, 52616, 55518, 52256, 51325, 51100, 57653, 52543, 53003, 51846, 50822, 51136, 50833, 51105, 50838, 51190, 51901, 51987, 52579, 51796, 57567, 51539, 52543, 50870, 57342, 53142, 50872, 52222, 50939, 52062, 51037, 52335, 51325, 59250, 56088, 51187, 52793, 58010, 52543, 52872, 51246, 51174, 76337, 56278, 55477, 51164, 52311, 50432, 51325, 50901, 52799, 51502, 51187, 52543, 52904, 51720, 51295, 52120, 52793, 52616, 80067, 50970, 54791, 52543, 50870, 51955, 51187, 51987, 52579, 51325, 50897, 58009, 52543, 50870, 50799, 51846, 51679, 51317, 51134, 51325, 51417, 52120, 52793, 55376, 50868, 53486, 50992, 53486, 50939, 53486, 51125, 53486, 51039, 52543, 50870, 72451, 51987, 55477, 51164, 51591, 50432, 51846, 50932, 51317, 51109, 51817, 55955, 51539, 52543, 57892, 51037, 51413, 50438, 51817, 51562, 52120, 52793, 52616, 57653, 52543, 59265, 51396, 51961, 51037, 51961, 51017, 51961, 50868, 51961, 50449, 51017, 78271, 51846, 50972, 51317, 50901, 56278, 52579, 51325, 50937, 58009, 52543, 50870, 75158, 51277, 51796, 67839, 56088, 51187, 52793, 52761, 50885, 52335, 63678, 58409, 50979, 56515, 50426, 50979, 52222, 51846, 51174, 51136, 50878, 56278, 52417, 50992, 51939, 50927, 51650, 64429, 51187, 52543, 52904, 51105, 51218, 52120, 52793, 52616, 51846, 50912, 51136, 50810, 63678, 50870, 51955, 51187, 51987, 52579, 70431, 58009, 52543, 50870, 50799, 51846, 50851, 51136, 50813, 51325, 68113, 53837, 51987, 52761, 73770, 57134, 51149, 50978, 50913, 52872, 50885, 51047, 50992, 51047, 51298, 51047, 50920, 52417, 51846, 50827, 72879, 50927, 54371, 54463, 50870, 52594, 54114, 51105, 58379, 52539, 52616, 50804, 52755, 59002, 50676, 50340, 54914, 51298, 54554, 51846, 50822, 51136, 50833, 60606, 70232, 51987, 53922, 51298, 55273, 50804, 52245, 55397, 51298, 50860, 75158, 51277, 51325, 68113, 56088, 58278, 53495, 58516, 51257, 50976, 57783, 52335, 63678, 52872, 51298, 51505, 50979, 52222, 51846, 51174, 51136, 50878, 56278, 52417, 50992, 51939, 52053, 53530, 64429, 51187, 52543, 59118, 50909, 61283, 52446, 52053, 51291, 52120, 52793, 62047, 51298, 51894, 50444, 51846, 50912, 51136, 54791, 52543, 50870, 51955, 51187, 51987, 52579, 51325, 50910, 58009, 52543, 50870, 50799, 51846, 50851, 51136, 50813, 51325, 51189, 52120, 52793, 52761, 73770, 59300, 57134, 63678, 52872, 50885, 51047, 50979, 51047, 50992, 51047, 57653, 51987, 52417, 51846, 50827, 72879, 52053, 53097, 51539, 52543, 52904, 52053, 51189, 52120, 52793, 52616, 51298, 56571, 51187, 52543, 53003, 51846, 50822, 51136, 50833, 56278, 52579, 51325, 56525, 51539, 52543, 61010, 51298, 50802, 59560, 52518, 50979, 52518, 50847, 52518, 50939, 52518, 51796, 64286, 56088, 51187, 52793, 55138, 51257, 53213, 51257, 51156, 52543, 58409, 51149, 53578, 51149, 58798, 51207, 51174, 73065, 56278, 59551, 51298, 67772, 50885, 53233, 50979, 53233, 50847, 53233, 50939, 53233, 51105, 51103, 52799, 51502, 51187, 52543, 60591, 50909, 50928, 50909, 50873, 63664, 52793, 58780, 51298, 51258, 51298, 51714, 50444, 51207, 50912, 79509, 63678, 50870, 51955, 51187, 51987, 52579, 51133, 51047, 58009, 52543, 50870, 61108, 50851, 50986, 53309, 51044, 52793, 58010, 52543, 50870, 72451, 51987, 52417, 51207, 50827, 65499, 51105, 50914, 58009, 52543, 50870, 63664, 52793, 52616, 51325, 51100, 57653, 52543, 59002, 51298, 52175, 51298, 50802, 51207, 50822, 67295, 51105, 50838, 56278, 52579, 51796, 57567, 51539, 52543, 58908, 51298, 50823, 70128, 51277, 51325, 68113, 56088, 51187, 52793, 52761, 50885, 52335, 63678, 59109, 50944, 51243, 50422, 50939, 51293, 50423, 51257, 64131, 50979, 52222, 52028, 51174, 73065, 56278, 50820, 73508, 51298, 51173, 50939, 51939, 52053, 53530, 64429, 51187, 52543, 52904, 52053, 51291, 52120, 52793, 62047, 51298, 51675, 50444, 52028, 50912, 50986, 54791, 52543, 50870, 51955, 51187, 51987, 52579, 51325, 50910, 58009, 52543, 50870, 50799, 52028, 50851, 74036, 51325, 51189, 52120, 52793, 52761, 73770, 57230, 61809, 51840, 50978, 63678, 52872, 50885, 51047, 50944, 51047, 50939, 51047, 51257, 51047, 57653, 56261, 50430, 50944, 51167, 50431, 50939, 59959, 51298, 50976, 52028, 50827, 65499, 52053, 53097, 51539, 52543, 52904, 50944, 50911, 52053, 51189, 52120, 52793, 55698, 50939, 50976, 51298, 60815, 57653, 52543, 59002, 50944, 51012, 50446, 50939, 73704, 51298, 58317, 52028, 50822, 67295, 56278, 53922, 50944, 72747, 51257, 57859, 50939, 59315, 51257, 50976, 51325, 56525, 51539, 52543, 58908, 51017, 53849, 50872, 53849, 50992, 53478, 51125, 55174, 71755, 50993, 52022, 70353, 56088, 51187, 52793, 55376, 50939, 65201, 51298, 70373, 52543, 52872, 51317, 51174, 51169, 50878, 56278, 55477, 51125, 51021, 73508, 51325, 53877, 64429, 51187, 52543, 59118, 50909, 54930, 51325, 51295, 52120, 52793, 55698, 51125, 51336, 50444, 51317, 50912, 51169, 50810, 63678, 50870, 51955, 51187, 51987, 52579, 52022, 53097, 51539, 52543, 50870, 75961, 50851, 51169, 50813, 52022, 51115, 52120, 52793, 58010, 52543, 52872, 50885, 55964, 51187, 51987, 52417, 51017, 50802, 51317, 50827, 51169, 50857, 51325, 57567, 51539, 52543, 52904, 51017, 51878, 51325, 50915, 52120, 52793, 55698, 50885, 62894, 50872, 52256, 57653, 52543, 59002, 51017, 52610, 50992, 51172, 51317, 50822, 51169, 50833, 52022, 50914, 56278, 60752, 50885, 50883, 50988, 52931, 51125, 51008, 58009, 52543, 58908, 50868, 50924, 50458, 50992, 51008, 65310, 64286, 56088, 51187, 52793, 63749, 50868, 61798, 50992, 51541, 50419, 51298, 51388, 51039, 52543, 52872, 50850, 51306, 51317, 51174, 51169, 50878, 56278, 55477, 51125, 51138, 73508, 53926, 54312, 64429, 51187, 52543, 59118, 50909, 57626, 53926, 51141, 52120, 52793, 62047, 51125, 51161, 50992, 64880, 50444, 51317, 50912, 51169, 50810, 63678, 50870, 51955, 51187, 51987, 52579, 52022, 53309, 51539, 52543, 50870, 50799, 51125, 51243, 51317, 50851, 51169 ]

[ 0, 250, 20902, 8, 15352, 30054, 3495, 12, 267, 7706, 24904, 2125, 6, 42, 2214, 22750, 1626, 11098, 8, 8593, 26358, 4, 590, 10, 182, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 3185, 30, 5, 20425, 3222, 5785, 9, 13305, 6, 21979, 9590, 6, 13602, 6757, 6, 3459, 13305, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 272, 538, 6, 24, 1575, 10, 16331, 33215, 16739, 9, 230, 73, 495, 6, 272, 6, 211, 6, 230, 73, 495, 6, 8, 272, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 67004, 50903, 50845, 71750, 77046, 50903, 51481, 62177, 50840, 52612, 65170, 50903, 51101, 56871, 50840, 55985, 50813, 51809, 50801, 50840, 52385, 53168, 51309, 50424, 52385, 50425, 51771, 50827, 59493, 51111, 52385, 50429, 55009, 51309, 50437, 52385, 52114, 55608, 50801, 50840, 52385, 53643, 51309, 50449, 50801, 50840, 69798, 52003, 50827, 53061, 51111, 52068, 50454, 55009, 51309, 50799, 52385, 50415, 53168, 73416, 50801, 50840, 52385, 52114, 51309, 50427, 52385, 53897, 67825, 50804, 52201, 50813, 52114, 51277, 50439, 52385, 50440, 56614, 75396, 50801, 50840, 52385, 50444, 53795, 51277, 50451, 50801, 50840, 52385, 50452, 52003, 53176, 50804, 52201, 50813, 53795, 51277, 51809, 52385, 50417, 52003, 53004, 50801, 50840, 52385, 53168, 51309, 50428, 52385, 50429, 51771, 60952, 50804, 51111, 52385, 55009, 51309, 51572, 60672, 52114, 63107, 50801, 50840, 52385, 53643, 51309, 50454, 50801, 50840, 52385, 52003, 50933, 54124, 51111, 52385, 55009, 51277, 52478, 52385, 50419, 53168, 50827, 61890, 50840, 52385, 52114, 51309, 50431, 52385, 53897, 50827, 52594, 52201, 50813, 52114, 51309, 50443, 52385, 50444, 56614, 54043, 50801, 50840, 52385, 53795, 51309, 50455, 50801, 50840, 71843, 52003, 50827, 55985, 52201, 50813, 53795, 51277, 50796, 51039, 62846, 52003, 64999, 50801, 50840, 52385, 53168, 51309, 50433, 52385, 55654, 50864, 54476, 50864, 53205, 50827, 51771, 50827, 55935, 51111, 52068, 50437, 55009, 51277, 50445, 52385, 50446, 52114, 65311, 50801, 50840, 69798, 55654, 51381, 54476, 51381, 53952, 51381, 53643, 51277, 57268, 50840, 52385, 52003, 50933, 55669, 51111, 52385, 50415, 55009, 51277, 50422, 52385, 50423, 53168, 52580, 50801, 50840, 52385, 50427, 52114, 51309, 51556, 50813, 55561, 50827, 54676, 50827, 53897, 66143, 50804, 52201, 50813, 61947, 51277, 52114, 51309, 51618, 60168, 57533, 50827, 56614, 62970, 50801, 50840, 52385, 50452, 67281, 51172, 53795, 51277, 50460, 50801, 50840, 52385, 54476, 51484, 57537, 51484, 52003, 50827, 51809, 50804, 52201, 50813, 53795, 51309, 50424, 52385, 52003, 71707, 50801, 50840, 52385, 53168, 51309, 50437, 52385, 55654, 50825, 54476, 50825, 53205, 50864, 51771, 50827, 53012, 51111, 52068, 50442, 55009, 51277, 50449, 69798, 52114, 65415, 50801, 50840, 52385, 55654, 51283, 54476, 51283, 53952, 51283, 53643, 51277, 51755, 50840, 52385, 52003, 50827, 57493, 51111, 52068, 50419, 55009, 51277, 51544, 63567, 53168, 64755, 50801, 50840, 52385, 50431, 52114, 51309, 50439, 50804, 76327, 50440, 55561, 50827, 54676, 50827, 53897, 50827, 62177, 51582, 53103, 61947, 51309, 52114, 51277, 57688, 76327, 50452, 57533, 50827, 56614, 68926, 50801, 50840, 71843, 67281, 51172, 53795, 51277, 55985, 50840, 51809, 52006, 51071, 50840, 52385, 54476, 51309, 57537, 51172, 52003, 50933, 55207, 50840, 52385, 50421, 53795, 51309, 57453, 50840, 54321, 50840, 52385, 52003, 74374, 51098, 51121, 70239, 51101, 50435, 53168, 50838, 50442, 52078, 65891, 51771, 63107, 51098, 64210, 51111, 50856, 51101, 53205, 50838, 54921, 50838, 52451, 50838, 52796, 51277, 50447, 53168, 51277, 50454, 52078, 50855, 53952, 51080, 53256, 51627, 52892, 51627, 52592, 51080, 50455, 51771, 59972, 51098, 51221, 70239, 59097, 53168, 51309, 52478, 52078, 53530, 54507, 51771, 50827, 53951, 51111, 50856, 51101, 50423, 51098, 51178, 50424, 53168, 51309, 50431, 52078, 50855, 51771, 53720, 51098, 51178, 70239, 50845, 54676, 50933, 53205, 51006, 52892, 50933, 53281, 50933, 50436, 53168, 72194, 52078, 54840, 51771, 50827, 52612, 54367, 50845, 50448, 51098, 51178, 54676, 50933, 53205, 51006, 52892, 50933, 53281, 51006, 53168, 68590, 52078, 50855, 51771, 64224, 51098, 51221, 70239, 51101, 54676, 50838, 53205, 50838, 52892, 50838, 53281, 51277, 50461, 53168, 51309, 52591, 50801, 64729, 52078, 50855, 54476, 51484, 53205, 51172, 54921, 51172, 52451, 51484, 51771, 50827, 57453, 54367, 69115, 51098, 51178, 53168, 51309, 50433, 52078, 60085, 51771, 62551, 51098, 51221, 70239, 68535, 53168, 51277, 50446, 52078, 50855, 51771, 65311, 51098, 67526, 51111, 50856, 65295, 53205, 50838, 54921, 51006, 52451, 51006, 52796, 50838, 53168, 51309, 50458, 52078, 50855, 53952, 51080, 53256, 51080, 52892, 51080, 52592, 51080, 51771, 50827, 53458, 51178, 70239, 74023, 53168, 51277, 50422, 52078, 53530, 55081, 51771, 50827, 51302, 51111, 50856, 51101, 50427, 51098, 51221, 53168, 51309, 50435, 52078, 62439, 51771, 66143, 51098, 51121, 70239, 50845, 54676, 50933, 53205, 51006, 52892, 51006, 53281, 78017, 53168, 51277, 50447, 52078, 70832, 51771, 50827, 50452, 51493, 67526, 54367, 50845, 54676, 51006, 53205, 51006, 52892, 51006, 53281, 51006, 56805, 51309, 50460, 51984, 50833, 52126, 50827, 51809, 51140, 50873, 70239, 51101, 50417, 54676, 50838, 53205, 50838, 52892, 51277, 53281, 51277, 53362, 51309, 50424, 50801, 59066, 51793, 50855, 54476, 51199, 53205, 51484, 54921, 51484, 52451, 51199, 51890, 54889, 51705, 64210, 54367, 50845, 58195, 51309, 50437, 53262, 50855, 52775, 55608, 51098, 51121, 70239, 51101, 50442, 53168, 51277, 50449, 52078, 50855, 51771, 50827, 53061, 54367, 70172, 51098, 51221, 53205, 50838, 54921, 50838, 52451, 51006, 52796, 50838, 53168, 51309, 66269, 50855, 53952, 51080, 53256, 51627, 52892, 51627, 52592, 51080, 51771, 73416, 51098, 51178, 70239, 50845, 50419, 53168, 51277, 62578, 64502, 52078, 65216, 51771, 50827, 57096, 51111, 50856, 51101, 50431, 51098, 71992, 53168, 51277, 50439, 52078, 70686, 51771, 75396, 51098, 51178, 70239, 50845, 54676, 50933, 53205, 51006, 52892, 51006, 53281, 57940, 53168, 51309, 50452, 52078, 59012, 51771, 53176, 51098, 74741, 54367, 50845, 54676, 51006, 53205, 51006, 52892, 50933, 53281, 67590, 53168, 51277, 52177, 52078, 50855, 51771, 53004, 70239, 51101, 50421, 51098, 51178, 54676, 51006, 53205, 51006, 52892, 51006, 53281, 51006, 53168, 51309, 50429, 52078, 53933, 50840, 54476, 50932, 53205, 51199, 54921, 51199, 52451, 50932, 50430, 51771, 60952, 51098, 67526, 54367, 50845, 53168, 51309, 50441, 52078, 64781, 51771, 63107, 51098, 51178, 70239, 51101, 50446, 53168, 51277, 50454, 52078, 50855, 51771, 65241, 51098, 67526, 51111, 50856, 51101, 53205, 50838, 54921, 51006, 52451, 51006, 52796, 50838, 53168, 51309, 52478, 52078, 50855, 53952, 51080, 53256, 51627, 52892, 51627, 52592, 51080, 50419, 51771, 64560, 51098, 51178, 70239, 58861, 53168, 51172, 50430, 50801, 59955, 52078, 54216, 51771, 53720, 51098, 67526, 51111, 50856, 51101, 50436, 53168, 51277, 50443, 52078, 50855, 51771, 54043, 51098, 51178, 70239, 50845, 54676, 50933, 53205, 51006, 52892, 51006, 53281, 50933, 53168, 68590, 52078, 50855, 51771, 64224, 51493, 67526, 53406, 51101, 54676, 50933, 53205, 51006, 52892, 50933, 53281, 50933, 56805, 51309, 52591, 51984, 53933, 54218, 50840, 52126, 50933, 50424, 51140, 51178, 70239, 51101, 50425, 54676, 50838, 53205, 51006, 52892, 50838, 53281, 50838, 53362, 70402, 51890, 60952, 51793, 50855, 54476, 51484, 53205, 51484, 54921, 51484, 52451, 51199, 50437, 51705, 67526, 51463, 51052, 51101, 58195, 51309, 50445, 53262, 50855, 52775, 69945, 51098, 51178, 52006, 51698, 50813, 53168, 51277, 50458, 52078, 50855, 52385, 55654, 50864, 54476, 50864, 53205, 50864, 56483, 51111, 52068, 53458, 51178, 50422, 52078, 50855, 52068, 50427, 51098, 74117, 50840, 52385, 59410 ]

[ 0, 250, 765, 6, 20425, 5175, 37903, 11, 272, 538, 6, 4246, 10, 13305, 4, 85, 18, 278, 11, 10, 204, 73, 306, 86, 6543, 19, 41, 12447, 1001, 20889, 9, 9680, 163, 5683, 6, 8, 6308, 10, 881, 21263, 9, 5, 33215, 16739, 211, 119, 6, 1918, 406, 428, 245, 6, 272, 6, 1918, 406, 428, 245, 6, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 57213, 50931, 52296, 57213, 50931, 51628, 56143, 50968, 52831, 56143, 50968, 51757, 56143, 50902, 51754, 62942, 57213, 55331, 78858, 52296, 57213, 50931, 51628, 56143, 50968, 52831, 56143, 50968, 51757, 56143, 50902, 51754, 62942, 57213, 55694, 64441, 52296, 62942, 50902, 51628, 62942, 50902, 52831, 56143, 50968, 51757, 56143, 50931, 51754, 57213, 57061, 55331, 78858, 52296, 57213, 50931, 51628, 57213, 50931, 52831, 57213, 50931, 51757, 57213, 50931, 51754, 57213, 57061, 54960, 50800, 50968, 52296, 56143, 50968, 51628, 56143, 50968, 52831, 56143, 50968, 51757, 56143, 50931, 51754, 56143, 60003, 57289, 72355, 52296, 61097, 50951, 51628, 61097, 50951, 52831, 61097, 50951, 51757, 61097, 50951, 51754, 61097, 60003, 54960, 50800, 50968, 52296, 56143, 50968, 51628, 56143, 50968, 52831, 56143, 50968, 51757, 56143, 50931, 51754, 56143, 60003, 55331, 78858, 52296, 57213, 50931, 51628, 57213, 50931, 52831, 61097, 50951, 51757, 61097, 50951, 51754, 61097, 60003, 58106, 50634, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 713, 20425, 3152, 2214, 6, 30291, 19, 10, 3495, 18105, 12203, 6, 22750, 1626, 11098, 8, 657, 149, 63, 17627, 17274, 34879, 4, 1698, 30514, 30, 81, 9756, 8, 2382, 3459, 29589, 6, 3459, 9590, 6, 3551, 139, 6, 8, 2342, 4467, 6, 24, 11498, 10, 23667, 20889, 9, 10572, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 272, 538, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 1918, 406, 6, 272, 6, 230, 6, 272, 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 ]

[ 67004, 52150, 52115, 51770, 51631, 51323, 51736, 51940, 51646, 51770, 51918, 51323, 51798, 51770, 50807, 50799, 53253, 52115, 51770, 51631, 51593, 51736, 54022, 51646, 51770, 51918, 51593, 51798, 51940, 52496, 52643, 50804, 50808, 52198, 50808, 50799, 52657, 50807, 52150, 50795, 51571, 50807, 51580, 69496, 76868, 50807, 70154, 70710, 52124, 50807, 51815, 74641, 50807, 51118, 68894, 71638, 52221, 52764, 52734, 51770, 51428, 53049, 52657, 50795, 61602, 51571, 50983, 51580, 50983, 51200, 50983, 51347, 50983, 51404, 50983, 51323, 50983, 52124, 50983, 51815, 50983, 51282, 50983, 51118, 50983, 51089, 50983, 51023, 61711, 52559, 52657, 50807, 51940, 51428, 52877, 51770, 51918, 52657, 50795, 67017, 58743, 59350, 60883, 61602, 61602, 66469, 51815, 61992, 60109, 57599, 57965, 51428, 52848, 52657, 50807, 51571, 50807, 51580, 69496, 76868, 50807, 70154, 70710, 51770, 50807, 52124, 50807, 51815, 74641, 50807, 51118, 68894, 71638, 52496, 50800, 50799, 52657, 50795, 53253, 50795, 51571, 50983, 51580, 50983, 51200, 50983, 51347, 50983, 51404, 50983, 51323, 50983, 52124, 50983, 51815, 50983, 51282, 50983, 51118, 50983, 51089, 50983, 51023, 55157, 52734, 52657, 50795, 51770, 51428, 53049, 52657, 50795, 51593, 51626, 52559, 52657, 50807, 54022, 50795, 51571, 50807, 51580, 69496, 76868, 50807, 70154, 70710, 52124, 50807, 51815, 74641, 50807, 51118, 68894, 71638, 52221, 52877, 51770, 51918, 52018, 50795, 77143, 72347, 57285, 68663, 51593, 50795, 51763, 63215, 56970, 58281, 65779, 51428, 52848, 52018, 50795, 51409, 77536, 74493, 65258, 50807, 51746, 50807, 51940, 50807, 51763, 76314, 61538, 77169, 51208, 52496, 55456, 65202, 52018, 50795, 66169, 50795, 52150, 50795, 51571, 50807, 51580, 69496, 76868, 50807, 70154, 70710, 52124, 50807, 51815, 74641, 50807, 51118, 68894, 71638, 52221, 52734, 52657, 50795, 51770, 51428, 53049, 52657, 50795, 61602, 51571, 50983, 51580, 50983, 51200, 50983, 51347, 50983, 51404, 50983, 51323, 50983, 52124, 50983, 51815, 50983, 51282, 50983, 51118, 50983, 51089, 50983, 51023, 61711, 52559, 51940, 51428, 52877, 52657, 50807, 51770, 51918, 67017, 58743, 59350, 60883, 61602, 61602, 66469, 51815, 61992, 60109, 57599, 57965, 51428, 52848, 52657, 50807, 51571, 50807, 51580, 69496, 76868, 50807, 70154, 70710, 51770, 50807, 52124, 50807, 51815, 74641, 50807, 51118, 68894, 71638, 52496, 50800, 50799, 52657, 50795, 53253, 50795, 51571, 50983, 51580, 50983, 51200, 50983, 51347, 50983, 51404, 50983, 51323, 50983, 52124, 50983, 51815, 50983, 51282, 50983, 51118, 50983, 51089, 50983, 51023, 55157, 52734, 52657, 50795, 51770, 51428, 53049, 52657, 50795, 51593, 51626, 52559, 52657, 50807, 54022, 50795, 51571, 50807, 51580, 69496, 76868, 50807, 70154, 70710, 52124, 50807, 51815, 74641, 50807, 51118, 68894, 71638, 52221, 52877, 51770, 51918, 52018, 50795, 77143, 72347, 57285, 68663, 51593, 50795, 51763, 63215, 56970, 58281, 65779, 51428, 52848, 52018, 50795, 51409, 77536, 74493, 65258, 50807, 51746, 50807, 51940, 50807, 51763, 76314, 61538, 77169, 51208, 52496, 51754, 52018, 50795, 68742, 50983, 77088, 69176, 52150, 51492, 51616, 60109, 63566, 67213, 50795, 51789, 60055, 51498, 50849, 51616, 53466, 51498, 50845, 51616, 53387, 51817, 50807, 77088, 69176, 51616, 60109, 63566, 67213, 50795, 51596, 57222, 51498, 50849, 51616, 53969, 51817, 50795, 51498, 50845, 51616, 53562, 51817, 50807, 77088, 69176, 51616, 60109, 63566, 67213, 50795, 51752, 53312, 51498, 50849, 51616, 50849, 68742, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 50795, 51789, 60055, 51498, 50849, 51616, 53466, 51498, 50845, 51616, 53387, 51133, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 50795, 51596, 57222, 51498, 50849, 51616, 53969, 51498, 50845, 51616, 53562, 51271, 50807, 51498, 76868, 76221, 50807, 51616, 50807, 51118, 72677, 52221, 51626, 50795, 51752, 51923, 51789, 50918, 58124, 50983, 79320, 60883, 72654, 57599, 67213, 52115, 51580, 50849, 51815, 53466, 51580, 50845, 51815, 53387, 51415, 50983, 79320, 60883, 72654, 57599, 67213, 50795, 51596, 57222, 51580, 50849, 51815, 53969, 51580, 50845, 51815, 53562, 51415, 50807, 79320, 60883, 72654, 57599, 67213, 50795, 51752, 51923, 51580, 50849, 51815, 50849, 51789, 50983, 58124, 50983, 79320, 60883, 72654, 57599, 67213, 52115, 51580, 50849, 51815, 53466, 51580, 50845, 51815, 53387, 51415, 59919, 60971, 60883, 72654, 57599, 67213, 51646, 51415, 59919, 50849, 51815, 50849, 51752, 53218, 51415, 59919, 50845, 51815, 53562, 73438, 51580, 66544, 50807, 70154, 51815, 50807, 51595, 68894, 52221, 51626, 50795, 51596, 51923, 51789, 50918, 62114, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 52115, 51498, 50849, 51616, 53466, 51498, 50845, 51616, 53387, 51720, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 50795, 51596, 52424, 51498, 50849, 51616, 53969, 51498, 50845, 51616, 50845, 51752, 52728, 51720, 50807, 77088, 69176, 51616, 60109, 63566, 67213, 51923, 51498, 50849, 51616, 50849, 51789, 50983, 62114, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 52115, 51498, 50849, 51616, 53466, 51498, 50845, 51616, 53387, 51817, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 51646, 51498, 50849, 51616, 50849, 51596, 53218, 51498, 50845, 51616, 53562, 73438, 51498, 76868, 76221, 50807, 51616, 50807, 51118, 72677, 52221, 51626, 50795, 51752, 51923, 51789, 51358, 58124, 50983, 79320, 60883, 72654, 57599, 67213, 52115, 51580, 50849, 51815, 53466, 51580, 50845, 51815, 53387, 51415, 50983, 79320, 60883, 72654, 57599, 67213, 51646, 51580, 50849, 51815, 53969, 51580, 50845, 51815, 53562, 51415, 50807, 79320, 60883, 72654, 57599, 67213, 51923, 51580, 50849, 51815, 50849, 58124, 50983, 79320, 60883, 72654, 57599, 67213, 52115, 51580, 50849, 51815, 53466, 51580, 50845, 51815, 53387, 51415, 50983, 79320, 60883, 72654, 57599, 67213, 50795, 51752, 57222, 51580, 50849, 51815, 53969, 51580, 50845, 51815, 53562, 73438, 51580, 66544, 50807, 70154, 51815, 50807, 51595, 68894, 52221, 51626, 50795, 51596, 51923, 50804, 50795, 51789, 51358, 58124, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 57877, 54226, 51498, 50849, 51616, 53466, 51498, 50845, 51616, 53387, 51415, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 51646, 51498, 50849, 51616, 50849, 51789, 56027, 51498, 50845, 51616, 53562, 73438, 77088, 69176, 51616, 60109, 63566, 67213, 51923, 51498, 50849, 51616, 50849, 68742, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 50795, 51789, 54994, 51498, 50849, 51616, 53466, 51498, 50845, 51616, 53387, 51133, 50983, 77088, 69176, 51616, 60109, 63566, 67213, 51646, 51498, 50849, 51616, 50849, 51596, 53218, 51498, 50845, 51616, 53562, 51271, 50807, 51498, 76868, 76221, 50807, 51616, 50807, 51118, 72677, 52221, 51626, 50795, 51752, 51923, 51789, 50807, 58124, 50983, 79320, 60883, 72654, 57599, 67213, 52115, 51580, 50849, 51815, 50849, 51789, 59492, 51580, 50845, 51815, 53387, 51415, 50983, 79320, 60883, 72654, 57599, 67213, 51646, 51580, 50849, 51815, 50849, 51596, 53218, 51580, 50845, 51815, 53562, 51415, 50807, 79320, 60883, 72654, 57599, 67213, 50795, 51752, 51923, 51580, 50849, 51815, 50849, 51789, 50918, 58124, 59919, 60971, 60883, 72654, 57599, 67213, 52115, 51415, 50807, 51580, 50849, 51815, 53466, 51580, 50845, 51815, 53387, 51415, 50807, 79320 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 2214, 19, 41, 1365, 6288, 16464, 6, 4246, 13305, 6, 21677, 32909, 6, 31391, 1672, 9590, 6, 8, 38668, 22052, 6, 7513, 30, 32625, 2236, 1021, 2678, 29, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 2125, 3136, 23, 41, 178, 5285, 20889, 6, 7630, 14805, 10, 5679, 26709, 8, 1372, 5466, 1969, 13, 5, 1619, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 52584, 50808, 56698, 51036, 51476, 51353, 51687, 51307, 51231, 51353, 50847, 52115, 51416, 61030, 51742, 50426, 52584, 50910, 50979, 74521, 50885, 52519, 51094, 50299, 50808, 51410, 51353, 51303, 51307, 51249, 63560, 51684, 66031, 65125, 50872, 60316, 52993, 50925, 51037, 51210, 50431, 51037, 51134, 50848, 51241, 78657, 50459, 51037, 51097, 50460, 50979, 51203, 51094, 50300, 50859, 51687, 51518, 51231, 51518, 51414, 51518, 50847, 51391, 50420, 52585, 53049, 54785, 50910, 51037, 52996, 50432, 50847, 51448, 50438, 50979, 52256, 50444, 51037, 52034, 50450, 51416, 50805, 51476, 50825, 51687, 50837, 51231, 52920, 51526, 54454, 51410, 51293, 51303, 51359, 51414, 51353, 59560, 51241, 50419, 75548, 50426, 50872, 70057, 50872, 51178, 69815, 50939, 79959, 55285, 57824, 53248, 58305, 56139, 51194, 71596, 50897, 52326, 51692, 51687, 51518, 51231, 51592, 56698, 51307, 51476, 51518, 50909, 51867, 50321, 51174, 56955, 50929, 52115, 51416, 62812, 52140, 51136, 53770, 52584, 50917, 50909, 51452, 51032, 51573, 51065, 73080, 51257, 51291, 51094, 50299, 50808, 51414, 55277, 51410, 52062, 51303, 52222, 50420, 51684, 56709, 51742, 50960, 51591, 50426, 52993, 50897, 51257, 51127, 50970, 51183, 51065, 73080, 50909, 51115, 50947, 51091, 51094, 50300, 50830, 51476, 52168, 51687, 51939, 51231, 51677, 50420, 52585, 52710, 54785, 50897, 50979, 50933, 69047, 64957, 51136, 50959, 67765, 50986, 51051, 51065, 51653, 50432, 50979, 51576, 50847, 51172, 50885, 52188, 50986, 51363, 51136, 51221, 50929, 68031, 51416, 50805, 51476, 50825, 51687, 50825, 51231, 63431, 61574, 64203, 53137, 51526, 52382, 51410, 51313, 51303, 51359, 51414, 51353, 50848, 51749, 50872, 51397, 50939, 51448, 58700, 51364, 50419, 72094, 65404, 51100, 51065, 52030, 51064, 51290, 57702, 55433, 50852, 50974, 75235, 52500, 51929, 51896, 51607, 51585, 52603, 51941, 52257, 51941, 63899, 51132, 54187, 51483, 52093, 50420, 51416, 50849, 51416, 50849, 51471, 50425, 51281, 50961, 51092, 50883, 51061, 53516, 52584, 50836, 52584, 63088, 52715, 55649, 52993, 50813, 52993, 50867, 70658, 52908, 50911, 52584, 50914, 52584, 56001, 51653, 61974, 55272, 51173, 59056, 51607, 50883, 51929, 50884, 52603, 50884, 52257, 50846, 52908, 50893, 52993, 50841, 52993, 50841, 51061, 50883, 51281, 50961, 51092, 62794, 51805, 52884, 51669, 51896, 52327, 51977, 51607, 51685, 52914, 50893, 51526, 51896, 51526, 51977, 50798, 50860, 52261, 50461, 52561, 51933, 50799, 52105, 51039, 52639, 51061, 50961, 51193, 50895, 51083, 64654, 51805, 50811, 51361, 50841, 55511, 50805, 51526, 51370, 58780, 52584, 61985, 51607, 50921, 52603, 51286, 52257, 50911, 54258, 51158, 52584, 50978, 51931, 50449, 55298, 50828, 55298, 54208, 52327, 50841, 51669, 50839, 55301, 50991, 55301, 51346, 51083, 50884, 51061, 50883, 51193, 72185, 51052, 52884, 51929, 51486, 51607, 52536, 52603, 52536, 52257, 51941, 51762, 50460, 50798, 50829, 75235, 52536, 73710, 51132, 55195, 51483, 52261, 50419, 51416, 55689, 51416, 50845, 57451, 52584, 50862, 52584, 50862, 51061, 50895, 51281, 50883, 51092, 71074, 51805, 52726, 52993, 50829, 52993, 50862, 68039, 52908, 50923, 52584, 50943, 52584, 56001, 51603, 52093, 50444, 55272, 51173, 59056, 51929, 50818, 51607, 50895, 52603, 50895, 52257, 50828, 52908, 50806, 52993, 50841, 52993, 50867, 51281, 76334, 77553, 72185, 51052, 52884, 51607, 51215, 51669, 51685, 52327, 51977, 52914, 51111, 51526, 50967, 51526, 59962, 51012, 51762, 50799, 52561, 51227, 52261, 50420, 51515, 51318, 51526, 51336, 55239, 51773, 50943, 52561, 56970, 50884, 51061, 50961, 51193, 67344, 51805, 52726, 52655, 50890, 52086, 51048, 63709, 64864, 52257, 50936, 51607, 50952, 52603, 50948, 54258, 51100, 51882, 51432, 51416, 50833, 51416, 51589, 55685, 51526, 66092, 51526, 53639, 51669, 50846, 52327, 50841, 51773, 50834, 52077, 59821, 51602, 51290, 51602, 51055, 51083, 50884, 51061, 50883, 51193, 67344, 51805, 52884, 51929, 51161, 51607, 52392, 52603, 52392, 52257, 52392, 52105, 50460, 50798, 50829, 75235, 52500, 51132, 52090, 51483, 52093, 50420, 51416, 50805, 61236, 52584, 77727, 50883, 51092, 50884, 51061, 72185, 51805, 52726, 52993, 50862, 63709, 52908, 51012, 52584, 52221, 51505, 52112, 50444, 55272, 51060, 55723, 51929, 50818, 51607, 50884, 52603, 50884, 52257, 50818, 52908, 50795, 52993, 79165, 50895, 51281, 50961, 51061, 72185, 51805, 52884, 51607, 51358, 51669, 51896, 52327, 51896, 52914, 51060, 51526, 51551, 50798, 50860, 52093, 50799, 52561, 51591, 52558, 51039, 52639, 51083, 50884, 51061, 50961, 51193, 71074, 51805, 50811, 51361, 54665, 51526, 57352, 51526, 50879, 51570, 53044, 51607, 50940, 52603, 50936, 52257, 50936, 54258, 51173, 52584, 50805, 60899, 51669, 50818, 51773, 50834, 52327, 50839, 55298, 50818, 51083, 50884, 51061, 50883, 51193, 72185, 51805, 52884, 51929, 52392, 51607, 52500, 52603, 52536, 52257, 52392, 51132, 51090, 51762, 50460, 50798, 50841, 75235, 52500, 50798, 51388, 52093, 50420, 51416, 50849, 60454, 52584, 50828, 51061, 71701, 50890, 51281, 62794, 51805, 52726, 52993, 51559, 52621, 52908, 50923, 52584, 52221, 51012, 52093, 50444, 55272, 51060, 56890, 51929, 50841, 52603, 50895, 51607, 50841, 52257, 50828, 52908, 50805, 52993, 79720, 50883, 51281, 50961, 51092, 62794, 51805, 52884, 51669, 51055, 52327, 51661, 51607, 51215, 52914, 51177, 51526, 58571, 66363, 50855, 50799, 52561, 51267, 50791, 54402, 51515, 52015, 51526, 52282, 64612, 51773, 51148, 52561, 51697, 51061, 50949, 51193, 50883, 51083, 64654, 51805, 58221, 52655, 54937, 52327, 51218, 52086, 51080, 51762, 51570, 50836, 52129, 51021, 59207, 51929, 50942, 51607, 50845, 52603, 50937, 52584, 50879, 50903, 52715, 52884, 51773, 50849, 51669, 50866, 52327, 51003, 55298, 55859, 61764, 61407, 76759, 71062, 57036, 54507, 51515, 52071, 51526, 51175, 60454, 51773, 51692, 50903, 52715, 52726, 51669, 51675, 52327, 51675, 51526, 60181, 50855, 51570, 52878, 51416, 53632, 51021, 52105, 50447, 51526, 58332, 51602, 51055, 50903, 53903, 51453, 60112, 50798, 50839, 79053, 51941, 52603, 51585, 52257, 51941, 53369, 51991, 73710, 51476, 51538, 51687, 51933, 51231, 51161, 56698, 51933, 50798, 51237, 52558, 50420, 51416, 50805, 58522, 52584, 65889, 50890, 51281, 50883, 51061, 56088, 52853, 52726, 52993, 50836, 56270, 52908, 51012, 52584, 52221, 76456, 52210, 55272, 51060, 60899, 52603, 50846, 52257, 50884, 54258, 50839, 52908, 50805, 52993, 50834, 51092, 50895, 51281, 50961, 51061, 50884, 51231, 50883, 51687, 50818, 51414, 59281, 52853, 52884, 51669, 51623, 52327, 51977, 54258, 51896, 52914, 51158, 51526, 50918, 51410, 51538, 51303, 51585, 51414, 51896, 50798, 51745, 52093, 50799, 52561, 51112, 52105, 51039, 52641, 52561, 50901, 51083, 77185, 50883, 51193, 71074, 53903, 50431, 52655, 54937, 52086, 50943, 51762, 50436, 51526, 50841, 55511, 51212, 52261, 50443, 51882, 67367, 52603, 50911, 52257, 50911, 54258, 50806, 52584, 50833, 51687, 51030, 51231, 51030, 51414, 50948, 52261, 50449, 52077, 50981, 51083, 50884, 51061, 50961, 51193, 54755, 51669, 50839, 52327, 50834, 55298, 51116, 51414, 50834, 51410, 50828, 51303, 56088, 51156, 52884, 52603, 52392, 53369, 51307, 51607, 52069, 52257, 51894, 51476, 52392, 51687, 52536, 51231, 52392, 56698, 51696, 52105, 50460, 50798, 50884, 52894, 55732, 51932, 52093 ]

[ 0, 250, 33928, 8, 15352, 30054, 5175, 3495, 2214, 19, 10, 2365, 8, 1619, 619, 6, 4246, 3459, 13305, 6, 2352, 6757, 6, 38668, 9590, 6, 21072, 6, 8, 15679, 642, 1543, 6, 278, 11, 10, 1769, 20889, 8, 204, 73, 306, 86, 6543, 11, 5, 762, 9, 230, 538, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 50799, 57862, 50880, 54977, 50811, 52645, 50880, 53359, 50880, 52114, 51156, 57466, 54977, 50880, 55128, 50811, 51995, 50880, 52114, 50880, 51890, 51156, 52905, 55010, 50880, 54391, 50811, 56227, 50880, 51816, 50880, 51959, 51156, 56720, 54602, 50921, 55339, 50823, 56287, 50921, 51771, 50921, 52158, 51805, 50828, 51570, 58275, 57281, 50880, 55546, 50811, 54009, 50880, 52951, 50880, 52003, 51156, 53035, 66205, 50880, 56445, 50811, 56292, 50880, 55009, 50880, 52647, 51156, 57461, 54977, 50980, 57237, 51066, 56287, 50980, 52114, 50980, 52126, 51066, 52093, 50799, 76113, 61862, 56345, 50434, 51340, 53746, 53593, 53826, 58198, 53257, 52565, 52713, 51055, 50653, 50340, 51331, 50380, 52439, 57000, 61741, 52587, 51055, 51340, 53746, 56637, 52093, 50799, 51340, 50958, 57466, 54391, 50921, 55585, 50823, 51959, 50921, 52930, 51805, 50828, 51768, 51041, 56720, 54391, 50880, 62882, 50803, 51959, 50880, 54462, 51052, 55816, 53294, 54391, 50921, 55585, 50823, 52475, 50896, 51959, 50921, 52930, 53547, 58275, 61741, 52713, 50896, 51340, 52439, 61765, 54391, 50880, 62882, 50803, 51959, 50880, 54462, 51052, 50828, 50799, 54391, 50921, 55585, 50823, 51959, 50921, 52930, 53547, 57466, 61862, 55339, 50880, 54304, 50823, 52158, 50880, 52092, 50823, 55347, 56720, 55010, 50921, 56146, 50823, 69799, 51816, 50921, 52569, 50823, 67610, 53294, 52587, 50921, 56345, 50446, 52587, 51864, 53035, 51758, 50806, 51340, 52439, 61765, 52093, 50799, 56345, 50422, 54391, 50921, 55585, 50823, 51959, 50921, 52930, 51805, 50828, 51768, 51041, 56720, 54391, 50880, 62882, 50803, 51959, 50880, 54462, 51052, 55816, 53294, 54391, 50921, 55585, 50823, 52475, 50896, 51959, 50921, 52930, 53547, 58275, 54391, 50921, 55585, 50823, 51959, 50921, 52930, 51805, 53035, 52713, 50896, 51340, 52439, 60715, 54391, 50880, 56146, 50811, 51959, 50880, 52569, 58150, 52093, 50799, 55339, 50921, 55849, 50823, 52158, 50921, 52627, 53547, 57466, 52093, 51768, 51041, 56720, 52687, 50880, 67610, 53294, 52645, 50921, 56345, 50446, 52645, 51864, 53035, 51995, 50806, 51340, 52439, 61765, 52093, 50799, 56345, 50422, 54391, 50921, 55585, 50823, 51959, 50921, 52930, 51805, 50828, 51768, 51041, 56720, 54391, 50880, 62882, 50803, 51959, 50880, 54462, 51052, 55816, 53294, 54391, 50921, 55585, 50823, 52475, 50896, 51959, 50921, 52930, 53547, 58275, 61741, 52713, 50896, 51340, 52439, 61765, 54391, 50880, 62882, 50803, 51959, 50880, 54462, 51052, 50828, 50799, 54391, 50921, 55585, 50823, 51959, 50921, 52930, 53547, 57466, 61862, 55339, 50880, 54304, 50823, 52158, 50880, 52092, 50823, 55347, 56720, 55010, 50921, 56146, 50823, 69799, 51816, 50921, 52569, 50823, 67610, 53294, 52587, 50921, 56345, 50446, 52587, 51864, 53035, 51758, 50806, 51340, 52439, 61765, 52093, 50799, 56345, 50422, 54391, 50921, 55585, 50823, 51959, 50921, 52930, 51805, 50828, 51768, 51041, 56720, 54391, 50880, 62882, 50803, 51959, 50880, 54462, 51052, 55816, 53294, 54391, 51167, 55585, 50975, 52475, 50896, 51959, 51167, 52930, 50975, 56345, 50446, 54602, 51167, 54391, 50975, 51771, 51167, 51959, 50975, 61741, 52713, 50896, 51340, 52439, 61807, 54602, 51167, 54304, 50975, 51771, 51167, 52092, 77567, 52093, 50799, 55010, 51167, 56146, 50975, 51758, 51167, 51816, 51167, 52569, 50975, 56345, 50418, 50801, 57466, 52093, 51768, 51041, 56720, 53026, 55816, 53294, 50852, 50380, 53746, 59117, 53257, 58275, 53026, 50380, 53746, 53035, 53026, 50380, 52439, 57461, 52093, 50799, 55339, 50921, 54304, 50823, 52687, 50921, 52158, 50921, 52092, 50823, 51881, 51151, 52093, 50418, 76113, 55339, 50880, 54304, 50811, 52158, 50880, 52092, 50926, 50608, 53087, 54304, 50921, 56146, 50823, 52687, 50896, 52092, 50921, 52569, 55996, 54304, 50880, 56146, 50811, 52092, 50880, 52569, 56658, 64282, 51658, 55304, 51187, 58275, 55339, 50811, 50698, 50318, 50880, 52158, 67598, 53711, 61854, 50823, 64749, 50921, 54337, 50823, 53615, 61765, 52093, 50799, 55010, 50921, 54391, 50823, 52475, 50921, 51816, 50921, 51959, 50823, 52133, 51151, 52093, 50418, 76113, 55010, 50880, 54391, 50811, 51816, 50880, 51959, 50926, 50608, 53087, 54391, 50921, 56146, 50823, 52475, 50896, 51959, 50921, 52569, 55996, 54391, 50880, 56146, 50811, 51959, 50880, 52569, 56658, 64282, 51658, 51187, 58275, 55010, 50811, 74288, 50880, 51816, 67598, 53711, 59058, 50823, 61263, 50880, 53826, 50823, 53615, 61765, 52093, 50799, 54602, 50921, 55339, 50823, 51995, 50921, 51771, 50921, 52158, 50823, 53181, 51151, 52093, 50418, 76113, 54602, 50880, 55339, 50811, 51771, 50880, 52158, 50926, 50608, 53087, 55339, 50921, 54304, 50823, 51995, 50896, 52158, 50921, 52092, 55996, 55339, 50880, 54304, 50811, 52158, 50880, 52092, 56658, 64282, 51658, 55304, 51187, 58275, 54602, 50811, 50698, 50314, 50880, 51771, 67598, 53711, 58757, 50823, 57720, 50880, 54057, 50823, 53615, 61765, 52093, 50799, 55128, 50921, 55010, 50823, 51758, 50921, 51890, 50921, 51816, 50823, 53389, 51151, 52093, 50418, 76113, 55128, 50880, 55010, 50811, 51890, 50880, 51816, 50926, 50608, 53087, 55010, 50921, 54391, 50823, 51758, 50896, 51816, 50921, 51959, 55996, 55010, 50880, 54391, 50811, 51816, 50880, 51959, 56658, 64282, 51658, 51187, 58275, 55128, 50811, 75228, 50880, 51890, 67598, 53711, 55585, 50823, 55471, 50880, 52930, 50823, 53615, 61765, 52093, 50799, 55339, 50921, 54304, 50823, 52687, 50921, 52158, 50921, 52092, 50823, 51881, 51151, 52093, 50418, 76113, 55339, 50880, 54304, 50811, 52158, 50880, 52092, 50926, 50608, 53087, 54304, 50921, 56146, 50823, 52687, 50896, 52092, 50921, 52569, 55996, 54304, 50880, 56146, 50811, 52092, 50880, 52569, 56658, 64282, 51658, 55304, 51187, 58275, 55339, 50811, 50698, 50318, 50880, 52158, 67598, 53711, 61854, 50823, 64749, 50921, 54337, 50823, 53615, 61765, 52093, 50799, 57255, 50921, 54304, 50823, 54076, 50921, 52427, 50921, 52092, 50823, 54720, 51151, 52093, 50418, 76113, 57255, 50880, 54304, 50811, 52427, 50880, 52092, 50926, 50608, 53087, 54304, 50921, 56146, 50823, 54076, 50896, 52092, 50921, 52569, 55996, 54304, 50880, 56146, 50811, 52092, 50880, 52569, 56658, 64282, 51658, 51187, 58275, 57255, 50880, 50698, 50318, 50880, 52427, 71687, 53711, 61854, 50823, 64749, 50880, 54337, 50823, 53615, 61765, 52093, 50799, 54391, 50921, 56968, 50823, 52713, 51167, 51959, 50921, 52577, 50823, 53817, 50915, 50422, 54391, 50880, 56968, 50811, 51959, 50880, 52577, 51156, 52905, 54304, 50921, 56146, 50823, 53386, 51167, 52092, 50921, 52569, 50823, 53389, 50915, 52190, 59382, 54304, 50880, 56146, 50811, 52092, 50880, 52569, 51156, 67576, 53294, 56967, 50921, 58827, 50823, 54456, 51167, 53234, 50921, 54282, 50823, 53181, 50915, 50446, 56967, 50880, 58827, 50811, 53234, 50880, 54282, 51156, 78931, 53711, 56968, 50921, 55849, 50823, 54813, 51167, 52577, 50921, 52627, 50823, 53541, 50915, 52190, 61765, 56968, 50880, 55849, 50811, 52577, 50880, 52627, 51156, 50828, 70963, 50896, 52133, 51151, 50422, 55849, 50880, 59058, 50811, 52627, 50880, 53826, 51156, 52905, 53257, 68016, 53257, 61426, 53257, 50883, 55703, 50385, 53746, 53294, 55849, 50921, 59058, 50823, 52587, 50896, 52627, 50921, 53826, 50823, 52365, 50883, 55894, 53711, 53257, 50883, 50799, 56345, 50422, 54391, 50921, 55585, 50823, 51959, 50921, 52930, 51805, 50828 ]

[ 0, 250, 2635, 8, 19448, 5175, 25771, 2125, 11, 230, 538, 6, 4246, 10, 13305, 816, 10, 15352, 30054, 4782, 81, 10, 33215, 16739, 9, 230, 6, 272, 6, 274, 4, 20, 2214, 11498, 10, 23758, 3938, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 1472, 9, 23975, 1825, 8, 36474, 13005, 1328, 63, 765, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 51774, 70939, 66662, 66662, 53765, 53369, 51274, 51774, 51274, 51440, 51274, 52327, 68249, 53369, 50806, 51515, 50806, 51607, 50806, 52043, 52610, 53369, 50896, 51614, 50896, 51773, 50896, 52327, 50896, 75235, 50896, 51660, 50896, 51773, 50896, 51669, 53765, 51440, 50806, 51607, 50806, 53369, 70295, 55224, 51434, 50806, 51773, 52322, 51515, 50806, 51440, 50806, 53369, 70939, 55451, 51434, 50806, 51773, 52610, 53369, 70295, 78119, 66662, 50896, 50799, 52806, 70939, 70295, 50896, 52327, 53765, 52557, 50896, 51614, 70295, 50896, 51669, 53585, 52806, 50896, 52435, 78119, 50896, 52043, 54526, 51614, 50896, 51614, 78119, 50896, 52327, 50896, 78940, 50896, 51614, 50896, 51773, 50896, 52257, 53765, 51440, 51196, 52327, 51196, 51774, 51585, 51774, 51585, 50450, 51434, 50896, 52043, 50896, 66629, 70939, 66662, 66662, 53765, 53369, 51274, 51774, 51274, 51440, 51274, 52327, 68249, 53369, 50806, 51515, 50806, 51607, 50806, 52043, 52610, 53369, 50896, 51614, 50896, 51773, 50896, 52327, 50896, 75235, 50896, 51660, 50896, 51773, 50896, 51669, 53765, 51440, 50806, 51607, 50806, 53369, 70295, 55224, 51434, 50806, 51773, 52322, 51515, 50806, 51440, 50806, 53369, 70939, 55451, 51434, 50806, 51773, 52610, 53369, 70295, 78119, 66662, 50896, 50799, 52806, 70295, 66662, 50896, 52327, 53765, 52769, 63415, 66662, 50896, 52043, 53585, 52769, 50896, 51660, 66662, 50896, 52257, 54526, 51515, 50806, 51669, 50806, 52769, 50896, 51808, 57024, 51660, 50806, 51607, 50806, 72721, 50806, 51669, 50806, 52769, 50896, 51808, 55419, 51434, 50806, 52043, 52247, 51774, 51585, 51660, 51585, 51607, 51585, 51607, 51585, 66629, 50896, 51660, 66662, 66662, 53765, 51774, 51274, 51434, 51274, 51607, 51274, 52043, 68249, 51774, 50806, 51434, 50806, 51607, 50806, 52043, 52610, 51774, 50896, 51660, 66662, 50896, 52257, 50896, 66629, 63415, 66662, 50896, 52043, 53765, 52557, 50896, 51660, 63415, 66662, 53585, 51669, 50806, 52557, 70939, 63415, 55451, 52043, 52610, 52806, 70939, 70295, 50896, 52327, 50896, 50799, 52806, 70295, 66662, 66662, 53765, 52557, 70295, 50896, 51773, 50896, 51669, 53585, 52557, 70939, 75949, 52043, 54526, 52806, 70939, 70295, 50896, 52327, 50896, 76759, 50896, 51614, 75949, 51773, 53765, 51515, 51196, 51440, 51196, 51774, 51585, 51774, 51585, 50450, 51660, 75949, 66629, 50896, 51660, 50896, 51773, 66662, 53765, 53369, 51274, 51774, 51274, 51440, 51274, 52327, 68249, 53369, 50806, 51515, 50806, 51607, 50806, 52043, 52610, 53369, 50896, 51614, 50896, 51773, 50896, 52327, 50896, 75235, 50896, 51660, 50896, 51773, 50896, 51669, 53765, 51440, 50806, 51607, 50806, 53369, 70295, 55224, 51434, 50806, 51773, 52322, 51515, 50806, 51440, 50806, 53369, 70939, 55451, 51434, 50806, 51773, 52610, 53369, 70295, 78119, 66662, 50896, 50799, 52806, 70295, 66662, 50896, 52327, 53765, 52557, 70295, 50896, 51773, 50896, 51669, 53585, 52557, 50896, 51614, 50896, 51773, 50896, 52257, 54526, 52327, 50806, 51774, 70939, 78119, 57024, 52043, 50806, 50799, 51669, 50806, 54437, 70939, 50896, 51773, 55419, 52043, 52247, 53369, 51585, 51774, 51585, 51440, 51585, 52327, 51585, 57333, 51774, 70939, 66662, 66662, 53765, 53369, 51274, 51774, 51274, 51440, 51274, 52327, 68249, 53369, 50806, 51515, 50806, 51607, 50806, 52043, 52610, 53369, 50896, 51614, 50896, 51773, 50896, 52327, 50896, 75235, 50896, 51660, 50896, 51773, 50896, 51669, 53765, 51440, 50806, 51607, 50806, 53369, 70295, 55224, 51434, 50806, 51773, 52322, 51515, 50806, 51440, 50806, 53369, 70939, 55451, 51434, 50806, 51773, 52610, 53369, 70295, 78119, 66662, 50896, 50799, 52806, 70939, 70295, 50896, 52327, 53765, 52557, 50896, 51614, 70295, 50896, 51669, 53585, 52806, 50896, 52435, 78119, 50896, 52043, 54526, 51614, 50896, 51614, 78119, 50896, 52327, 50896, 78940, 50896, 51614, 50896, 51773, 50896, 52257, 53765, 51440, 51196, 52327, 51196, 51774, 51585, 51774, 51585, 50450, 51434, 50896, 52043, 50896, 66629, 70939, 66662, 66662, 53765, 53369, 51274, 51774, 51274, 51440, 51274, 52327, 68249, 53369, 50806, 51515, 50806, 51607, 50806, 52043, 52610, 53369, 50896, 51614, 50896, 51773, 50896, 52327, 50896, 75235, 50896, 51660, 50896, 51773, 50896, 51669, 53765, 51440, 50806, 51607, 50806, 53369, 70295, 55224, 51434, 50806, 51773, 52322, 51515, 50806, 51440, 50806, 53369, 70939, 55451, 51434, 50806, 51773, 52610, 53369, 70295, 78119, 66662, 50896, 50799, 52806, 70295, 66662, 50896, 52327, 53765, 52769, 63415, 66662, 50896, 52043, 53585, 52769, 50896, 51660, 66662, 50896, 52257, 54526, 51515, 50806, 51669, 50806, 52769, 50896, 51808, 57024, 51660, 50806, 51607, 50806, 72721, 50806, 51669, 50806, 52769, 50896, 51808, 55419, 51434, 50806, 52043, 52247, 51774, 51585, 51660, 51585, 51607, 51585, 51607, 51585, 66629, 50896, 51660, 66662, 66662, 53765, 51774, 51274, 51434, 51274, 51607, 51274, 52043, 68249, 51774, 50806, 51434, 50806, 51607, 50806, 52043, 52610, 51774, 50896, 51660, 66662, 50896, 52257, 50896, 66629, 63415, 66662, 50896, 52043, 53765, 52557, 50896, 51660, 63415, 66662, 53585, 51669, 50806, 52557, 70939, 63415, 55451, 52043, 52610, 52806, 70939, 70295, 50896, 52327, 50896, 50799, 52806, 70295, 66662, 66662, 53765, 52557, 70295, 50896, 51773, 50896, 51669, 53585, 52557, 70939, 75949, 52043, 54526, 52806, 70939, 70295, 50896, 52327, 50896, 76759, 50896, 51614, 75949, 51773, 53765, 51515, 51196, 51440, 51196, 51774, 51585, 51774, 51585, 50450, 51660, 75949, 66629, 50896, 51660, 50896, 51773, 66662, 53765, 53369, 51274, 51774, 51274, 51440, 51274, 52327, 68249, 53369, 50806, 51515, 50806, 51607, 50806, 52043, 52610, 53369, 50896, 51614, 50896, 51773, 50896, 52327, 50896, 75235, 50896, 51660, 50896, 51773, 50896, 51669, 53765, 51440, 50806, 51607, 50806, 53369, 70295, 55224, 51434, 50806, 51773, 52322, 51515, 50806, 51440, 50806, 53369, 70939, 55451, 51434, 50806, 51773, 52610, 53369, 70295, 78119, 66662, 50896, 50799, 52806, 70295, 66662, 50896, 52327, 53765, 52557, 70295, 50896, 51773, 50896, 51669, 53585, 52557, 50896, 51614, 50896, 51773, 50896, 52257, 54526, 52327, 50806, 51774, 70939, 78119, 57024, 52043, 50806, 50799, 51669, 50806, 54437, 70939, 50896, 51773, 55419, 52043, 52247, 53369, 51585, 51774, 51585, 51440, 51585, 52327, 51585, 57333, 51774, 70939, 66662, 66662, 53765, 53369, 51274, 51774, 51274, 51440, 51274, 52327, 68249, 53369, 50806, 51515, 50806, 51607, 50806, 52043, 52610, 53369, 50896, 51614, 50896, 51773, 50896, 52327, 50896, 75235, 50896, 51660, 50896, 51773, 50896, 51669, 53765, 51440, 50806, 51607, 50806, 53369, 70295, 55224, 51434, 50806, 51773, 52322, 51515, 50806, 51440, 50806, 53369, 70939, 55451, 51434, 50806, 51773, 52610, 53369, 70295, 78119, 66662, 50896, 50799, 52806, 70939, 70295, 50896, 52327, 53765, 52557, 50896, 51614, 70295, 50896, 51669, 53585, 52806, 50896, 52435, 78119, 50896, 52043, 54526, 51614, 50896, 51614, 78119, 50896, 52327, 50896, 78940, 50896, 51614, 50896, 51773, 50896, 52257, 53765, 51440, 51196, 52327, 51196, 51774, 51585, 51774, 51585, 50450, 51434, 50896, 52043, 50896, 66629, 70939, 66662, 66662, 53765, 53369, 51274, 51774, 51274, 51440, 51274, 52327, 68249, 53369, 50806, 51515, 50806, 51607, 50806, 52043, 52610, 53369, 50896, 51614, 50896, 51773, 50896, 52327, 50896, 75235 ]

[ 0, 250, 15352, 30054, 3152, 8, 3495, 2214, 4246, 21979, 8, 81, 9756, 29589, 6, 31391, 1672, 9590, 6, 38668, 2236, 6, 8, 21072, 6, 278, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 38451, 3938, 20889, 6, 7630, 14805, 10, 3344, 9, 1372, 8, 19448, 6711, 29, 19, 12577, 2933, 8, 3722, 223, 34693, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 50791, 54925, 50631, 50416, 50631, 50418, 50631, 51544, 80022, 50818, 52320, 50818, 57377, 50983, 50850, 51283, 51684, 57345, 50946, 50983, 50850, 51283, 51684, 53218, 51684, 51798, 50946, 55541, 50932, 51684, 50807, 57342, 50983, 51007, 50983, 51526, 57345, 50848, 64276, 50807, 51526, 53218, 50868, 77179, 51526, 51798, 52982, 51007, 50795, 51526, 53312, 50885, 50795, 56696, 57377, 51036, 50850, 51243, 51132, 57345, 51132, 53218, 51132, 51798, 51132, 51923, 73198, 57746, 50983, 50847, 51283, 51416, 57345, 50988, 50983, 50847, 51283, 51416, 58624, 50988, 55278, 50932, 51416, 50807, 57377, 50983, 50850, 51283, 51684, 59492, 53036, 51736, 50946, 50983, 50850, 51283, 51684, 50807, 53036, 60865, 51684, 51798, 50946, 55541, 50932, 51684, 50807, 52817, 50807, 57342, 50983, 51007, 50983, 51526, 50983, 52756, 51358, 50432, 50848, 64276, 50807, 51526, 53218, 50868, 77179, 76917, 52756, 51798, 52982, 51007, 50795, 51526, 50807, 52756, 53312, 50885, 50795, 56696, 57377, 50983, 50850, 51283, 51132, 50983, 52756, 73078, 50946, 55541, 50932, 51132, 53218, 50946, 53006, 50838, 51132, 51798, 50946, 50932, 69590, 51132, 51923, 73198, 53200, 50795, 57746, 50983, 50847, 51283, 51416, 50807, 53036, 52910, 51526, 50807, 52817, 53182, 50988, 50983, 50847, 51283, 54585, 50807, 52756, 52728, 50988, 50932, 72975, 51416, 50807, 53719, 50807, 57377, 50983, 50850, 51283, 51684, 50983, 53200, 52045, 50432, 50946, 50983, 50850, 51283, 51684, 53218, 51684, 51798, 50946, 55541, 50932, 51684, 50807, 57342, 50983, 51007, 50983, 51526, 57345, 50848, 64276, 50807, 51526, 53218, 50868, 77179, 51526, 51798, 52982, 51007, 50795, 51526, 50807, 53200, 53312, 50885, 50795, 56696, 57377, 50983, 50850, 51283, 51132, 50983, 54580, 73078, 50946, 55541, 50932, 51132, 53218, 50946, 53006, 50838, 51132, 51798, 50946, 50932, 69590, 51132, 51923, 73198, 57746, 50983, 50847, 51283, 51416, 50983, 53036, 52910, 52817, 53182, 50988, 50983, 50847, 51283, 51416, 57222, 52756, 52728, 50988, 50932, 72975, 51416, 50807, 53719, 50807, 57377, 50983, 50850, 51283, 51684, 50983, 52756, 52045, 50432, 50946, 50983, 50850, 51283, 51684, 53218, 51684, 51798, 50946, 55541, 50932, 51684, 50807, 57342, 50983, 51007, 51283, 51526, 57345, 74024, 51007, 51283, 51526, 53218, 51526, 51798, 50848, 64276, 50932, 51526, 50807, 63516, 50983, 51649, 51318, 52584, 50807, 52756, 61000, 52756, 51631, 52584, 50795, 52756, 53182, 75707, 51649, 51318, 52584, 52424, 52756, 53218, 52584, 51798, 50850, 50807, 51649, 50995, 52584, 50795, 52756, 53312, 73198, 59007, 50807, 51149, 50995, 51416, 50807, 53036, 52910, 50868, 50807, 51149, 50995, 78049, 52817, 53182, 51416, 52424, 50868, 50807, 51149, 50995, 52756, 53218, 51416, 51798, 50885, 51330, 50868, 50807, 51149, 50995, 51416, 57877, 50818, 53719, 53312, 78049, 58282, 54558, 50301, 54558, 50306, 54558, 50306, 56144, 54558, 50309, 57349, 77712, 51681, 50318, 54558, 50318, 50974, 51684, 51650, 51833, 61720, 57030, 50631, 50420, 51171, 75381, 50301, 75381, 50306, 75381, 50309, 75381, 50309, 57349, 75381, 50318, 53024, 51684, 51650, 51437, 52641, 51171, 54558, 50301, 54558, 50306, 54558, 50309, 77712, 54558, 50318, 77712, 51097, 51684, 50795, 55389, 61720, 50835, 54699, 50795, 52756, 51736, 51171, 75381, 50301, 75381, 50306, 75381, 50309, 75381, 50313, 75381, 50318, 53024, 51684, 51370, 50825, 54699, 50795, 52756, 51646, 51171, 53680, 50301, 76475, 70919, 70111, 53680, 50318, 51166, 51684, 51650, 51833, 61720, 50835, 54699, 50807, 52756, 53218, 51171, 55798, 50301, 55798, 50306, 55798, 50309, 55798, 50313, 55798, 50318, 51737, 51684, 51650, 51437, 52743, 51171, 54558, 50301, 54558, 50306, 54558, 50309, 77712, 54558, 50318, 51432, 51684, 50795, 55389, 61720, 50835, 54699, 50795, 52756, 51923, 51171, 58469, 50301, 58469, 50306, 58469, 50309, 58469, 50313, 58469, 50318, 51697, 51684, 51370, 50825, 54699, 50795, 52756, 50795, 62193, 57574, 50293, 57574, 50301, 57574, 50305, 57574, 50308, 57574, 50313, 57574, 50317, 57574, 50320, 57574, 50325, 51387, 54144, 51650, 51833, 61720, 50835, 54699, 50795, 52756, 52115, 50946, 75381, 50305, 75381, 50308, 75381, 50313, 75381, 50317, 75381, 50320, 75381, 50325, 53024, 54144, 51650, 51437, 50837, 54783, 50807, 53719, 52910, 51688, 57574, 50293, 57574, 50301, 57574, 50305, 57574, 50308, 57574, 50313, 57574, 50317, 57574, 50320, 57574, 50325, 57574, 50320, 52783, 54144, 50795, 55389, 61720, 52818, 50946, 50363, 50815, 50305, 50363, 50815, 50308, 50363, 50815, 50313, 50363, 50815, 50317, 50363, 50815, 50320, 50363, 50815, 50325, 50363, 50815, 50328, 51675, 54144, 51370, 50837, 54783, 50918, 53719, 56039, 51688, 57574, 50293, 57574, 50301, 57574, 50305, 57574, 50308, 57574, 50313, 57574, 50317, 57574, 50320, 57574, 50325, 51387, 54144, 51650, 51833, 61720, 52875, 50946, 50363, 50815, 50305, 50363, 50815, 50308, 50363, 50815, 50313, 50363, 50815, 50317, 50363, 50815, 50320, 50363, 50815, 50325, 53313, 54144, 51650, 51437, 52763, 51688, 57574, 50293, 57574, 50301, 57574, 50305, 57574, 50308, 57574, 50313, 57574, 50317, 57574, 50320, 57574, 50325, 57574, 50304, 51852, 54144, 50795, 55389, 61720, 53137, 50946, 50363, 50815, 50305, 50363, 50815, 50308, 50363, 50815, 50313, 50363, 50815, 50317, 50363, 50815, 50320, 50363, 50815, 50325, 53313, 54144, 51370, 50837, 58282, 54558, 50301, 54558, 50306, 54558, 50306, 58736, 54558, 50309, 58176, 77712, 67814, 54558, 50318, 50838, 51684, 51650, 51833, 61720, 53023, 51171, 75381, 50301, 75381, 50306, 75381, 50309, 75381, 50309, 58176, 75381, 50318, 53024, 51684, 51650, 51437, 50837, 57619, 50974, 54580, 56307, 51171, 54558, 50301, 54558, 50306, 54558, 50309, 77712, 54558, 50318, 77712, 51627, 51684, 50795, 55389, 61720, 50835, 54699, 50795, 52756, 51736, 51171, 75381, 50301, 75381, 50306, 75381, 50309, 75381, 50313, 75381, 50318, 53024, 51684, 51370, 50837, 54699, 50795, 52756, 51646, 51171, 53680, 50301, 76475, 70919, 70111, 53680, 50318, 51166, 51684, 51650, 51833, 61720, 50835, 54699, 50795, 52756, 51918, 51171, 55798, 50301, 55798, 50306, 55798, 50309, 55798, 50313, 55798, 50318, 51737, 51684, 51650, 51437, 50825, 54699, 50807, 52756, 52728, 51171, 54558, 50301, 54558, 50306, 54558, 50309, 77712, 54558, 50318, 51432, 51684, 50795, 55389, 61720, 53137, 51171, 58469, 50301, 58469, 50306, 58469, 50309, 58469, 50313, 58469, 50318, 51697, 51684, 51370, 50837, 54699, 50795, 52756, 50795, 62193, 57574, 50293, 57574, 50301, 57574, 50305, 57574, 50308, 57574, 50313, 57574, 50317, 57574, 50320, 57574, 50325, 51387, 54144, 51650, 51833, 61720, 50835, 54699, 50807, 52756, 53561, 50946, 75381, 50305, 75381, 50308, 75381, 50313, 75381, 50317, 75381, 50320, 75381, 50325, 53024, 54144, 51650, 51437, 52670, 51688, 57574, 50293, 57574, 50301, 57574, 50305, 57574, 50308, 57574, 50313, 57574, 50317, 57574, 50320, 57574, 50325, 57574, 50320, 51637, 54144, 50795, 55389, 61720, 50835, 54699, 50918, 52756, 62715, 50946, 50363, 50815, 50305, 50363, 50815, 50308, 50363, 50815, 50313, 50363, 50815, 50317, 50363, 50815, 50320, 50363, 50815, 50325, 50363, 50815, 50328, 51790, 52474, 51370, 52896, 51688, 57574, 50293, 57574, 50301, 57574, 50305, 57574, 50308, 57574, 50313, 57574, 50317, 57574, 50320, 57574, 50325, 51387, 52474 ]

[ 0, 250, 15352, 30054, 3495, 2214, 11, 272, 3694, 14, 7630, 6568, 10, 19448, 8, 3722, 5466, 6, 20455, 9, 10, 822, 19834, 4, 590, 10, 20889, 9, 5962, 13410, 228, 2289, 6, 24, 11498, 41, 12447, 1001, 2877, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 230, 119, 6, 272, 119, 6, 211, 406, 6, 8, 272, 119, 3639, 7, 63, 13363, 28191, 14981, 6, 442, 24, 10, 1969, 38963, 8913, 13, 10, 21844, 657, 527, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51809, 50861, 54298, 50420, 51001, 51074, 50425, 50951, 51103, 51085, 52179, 58365, 55584, 50449, 67176, 50452, 50951, 78454, 51147, 54900, 50902, 51852, 50956, 53674, 50951, 52151, 56020, 50876, 51126, 69374, 54532, 50442, 51146, 53524, 51062, 57740, 51220, 55118, 51062, 51204, 50448, 50861, 52034, 50458, 50902, 52454, 50307, 51753, 50460, 51405, 50807, 59412, 50876, 51128, 50427, 50951, 51178, 50436, 51147, 53614, 51085, 55505, 50323, 51134, 50451, 50931, 51255, 50965, 51862, 51601, 51001, 51576, 50416, 50871, 51252, 50931, 51677, 50421, 50871, 74553, 50427, 50902, 57917, 50900, 54836, 50453, 50965, 51550, 52478, 50951, 51753, 50419, 50876, 71133, 50431, 50931, 64529, 51086, 59170, 50931, 51191, 50458, 50861, 51470, 51601, 50968, 64305, 50931, 54878, 50951, 50937, 50421, 51001, 51333, 50423, 50931, 51605, 50871, 59170, 50435, 50902, 76606, 51026, 52192, 50456, 51062, 63181, 51220, 64098, 50999, 50910, 51601, 51220, 51351, 50416, 50899, 56374, 78312, 53577, 51146, 59937, 54298, 50440, 50931, 51363, 50973, 52518, 50450, 50951, 61081, 50931, 51097, 75074, 61017, 51809, 51001, 51309, 50417, 50861, 54861, 78740, 51852, 51001, 53753, 50956, 52136, 50443, 50876, 51365, 50455, 51026, 51432, 53069, 50956, 53674, 63931, 56615, 69374, 58898, 50446, 50965, 51387, 50460, 77113, 50461, 51197, 52518, 75695, 50900, 51123, 50434, 51062, 63038, 50965, 53726, 50440, 50956, 53674, 51062, 51307, 50452, 50861, 51123, 51809, 51197, 51277, 50428, 62972, 50439, 77743, 50861, 51000, 50440, 51001, 51291, 50451, 50876, 65315, 66188, 54197, 52063, 51001, 51191, 60718, 51116, 50871, 51432, 63808, 53161, 50439, 50900, 63546, 50318, 51677, 50451, 50965, 51123, 51601, 51050, 51166, 50427, 50899, 52034, 50437, 50902, 52048, 50871, 59170, 50438, 51147, 56508, 50876, 57015, 51147, 51183, 54955, 51824, 50424, 50871, 51490, 50436, 50951, 51243, 50876, 53096, 50437, 50899, 57941, 50447, 50973, 51022, 50458, 51026, 51376, 56020, 51086, 51166, 50434, 50931, 51310, 50965, 51466, 80122, 56123, 67655, 62524, 50931, 50943, 50457, 51176, 52025, 53069, 50900, 52858, 50319, 69012, 50902, 65760, 51001, 76978, 50956, 52519, 50906, 53096, 50430, 50902, 50889, 50440, 50965, 51365, 50876, 70390, 50973, 51351, 50452, 51176, 51333, 54960, 51241, 76945, 52136, 50426, 50973, 51351, 50861, 52454, 50307, 51749, 74933, 51116, 50989, 80051, 51197, 51535, 50876, 51933, 52591, 50900, 51254, 50427, 51062, 59099, 50965, 52845, 50307, 52519, 50433, 51062, 51091, 50446, 65313, 50458, 51197, 53161, 50460, 50900, 50892, 60212, 50900, 52256, 50430, 50876, 54986, 51026, 56563, 50436, 50989, 51466, 74206, 80179, 51001, 51141, 50449, 65313, 50459, 50931, 64098, 51050, 53674, 51001, 51204, 60212, 50900, 51432, 60718, 51221, 50435, 50900, 53577, 50437, 76243, 66836, 51243, 50450, 50965, 65315, 63006, 51809, 50956, 50981, 50417, 51247, 54228, 50429, 50899, 51079, 50430, 51050, 51123, 50436, 50899, 68937, 51086, 76733, 51026, 52397, 50446, 51147, 51397, 50457, 50900, 51797, 51176, 52518, 52591, 51147, 52015, 50421, 51026, 51199, 58783, 51142, 50445, 50876, 54344, 50899, 63667, 50951, 51313, 50457, 50973, 51000, 56020, 50965, 53280, 50423, 51214, 54071, 50435, 51026, 52731, 50446, 50931, 51803, 50447, 50956, 56615, 50861, 55086, 51086, 56123, 50454, 51026, 52794, 50459, 50899, 51166, 69341, 51001, 52188, 51085, 54848, 50452, 50965, 78983, 51378, 51365, 50956, 78181, 51365, 50457, 51026, 51645, 50861, 51645, 50796, 50436, 50956, 51328, 51214, 52216, 50299, 52519, 50441, 51085, 52407, 50442, 52206, 52598, 50900, 51314, 50796, 50448, 51197, 51524, 51081, 51218, 52177, 50997, 56308, 50422, 50999, 50959, 50424, 51081, 59749, 69649, 50965, 51466, 50428, 50956, 54211, 50430, 51081, 51675, 50440, 59663, 50452, 50861, 51806, 50453, 51026, 54071, 50459, 51405, 62923, 51146, 50828, 51601, 51062, 59196, 51146, 51091, 50421, 50989, 63339, 50861, 58815, 50965, 60155, 51405, 50889, 50431, 50997, 53164, 50311, 51637, 50442, 50951, 51204, 50451, 51050, 59644, 51081, 51241, 50461, 50876, 50857, 51601, 50906, 66089, 50877, 55394, 51147, 50866, 50421, 50906, 53961, 51147, 52826, 50433, 50876, 51627, 51176, 53161, 50445, 50956, 73752, 51197, 51852, 50861, 51961, 60212, 50871, 51254, 50436, 50871, 52063, 50437, 50900, 54861, 50450, 51197, 51142, 51601, 51147, 51218, 50416, 51120, 51738, 50427, 50899, 54150, 63302, 50434, 51147, 61573, 51081, 55467, 70179, 69332, 52011, 50440, 51147, 51662, 50452, 50906, 54600, 51120, 50829, 53069, 50871, 58299, 51405, 75322, 51146, 58854, 51062, 52749, 51146, 51364, 50437, 64385, 69332, 63753, 68929, 50445, 51339, 72893, 52397, 72785, 51627, 50457, 51147, 51310, 56020, 51197, 51376, 50425, 51114, 51419, 50431, 50965, 63163, 50861, 67009, 50989, 67941, 50951, 51400, 50861, 53674, 64057, 53697, 50451, 50906, 52482, 50452, 50951, 53849, 51809, 57127, 50428, 51214, 52519, 50429, 51027, 51074, 50442, 50997, 51387, 50454, 50997, 53577, 50455, 51120, 56374, 52591, 51197, 51852, 50432, 51214, 54211, 50434, 51001, 51623, 50447, 51197, 51775, 50454, 51081, 53848, 50997, 51466, 50460, 51081, 51151, 57731, 51026, 51477, 50435, 50956, 51472, 50452, 50906, 65737, 51147, 51003, 50460, 60834, 52478, 50951, 50865, 50424, 50931, 51060, 50425, 51214, 51174, 50429, 51001, 51238, 50436, 50902, 51608, 50288, 50932, 50446, 51197, 73311, 50876, 51091, 72407, 51134, 50458, 50965, 59097, 51062, 51036, 52177, 58893, 63714, 75976, 50956, 51060, 50433, 50899, 50914, 68121, 51363, 50448, 51176, 53306, 50458, 51081, 51056, 50459, 50876, 50864, 52478, 51147, 51194, 50423, 51503, 51172, 50951, 69353, 50931, 51215, 50435, 51279, 68504, 51241, 50447, 50931, 51091, 50448, 51050, 62309, 78444, 51027, 51680, 50459, 50951, 51204, 55753, 50871, 62244, 51294, 58319, 51253, 50902, 50914, 50433, 50900, 52996, 50444, 51001, 59428, 59528, 51247, 51738, 50455, 50931, 51191, 50456, 51176, 51534, 53069, 51001, 51162, 51027, 51254, 50429, 51234, 56374, 50430, 50997, 52011, 50431, 51001, 51662, 50443, 51027, 77403, 50997, 54573, 50457, 51234, 63160, 52591, 50931, 51481, 50427, 51001, 51481, 50434, 51050, 54836, 50902, 55490, 78631, 51550, 50455, 50997, 52134, 51809, 51176, 52397, 50417, 51234, 63532, 50438, 52046, 51824, 50442, 51234, 70853, 51026, 60550, 52052, 51148, 51081, 54532, 50457, 50956, 51738, 50796, 54439, 52192, 50433, 51814, 50912, 50871, 52514, 50435, 52052, 55108, 52357, 56432, 50956, 53957, 52052, 51742, 50997, 52101, 50442, 51081, 63510, 52478, 51026, 71372, 52912, 51172, 51146, 52460, 50447, 53919, 50844, 51405, 51008, 51197, 59972, 51487, 51091, 50459, 50951, 51194, 51601, 51234, 51365, 50417, 51050, 56237, 50899, 51277, 50424, 52052, 51345, 51081, 51423, 78414, 52188, 50440, 51147, 51481, 52128, 51233, 50446, 50965, 65397, 50861, 70596, 52128, 51080, 50454, 50871, 53126, 50324, 53577, 50455, 50997, 56123, 66243, 51050, 53838, 50446, 52912, 76920, 57467, 51234, 78584, 52956, 50808, 68818, 55656, 52128, 51110, 51147, 75120, 51147, 51619, 50336, 73700, 51197, 53726, 50989, 54521, 50440, 51027, 53024, 50453, 51487, 50849, 50454, 50951, 58399, 51753, 50455, 50997, 54228, 52177, 50906, 51619, 50335, 51056, 50951, 51108, 50429, 56437, 78313, 51297, 50441, 51214, 51297, 50442, 50899, 51241, 50453, 50997, 51627, 50956, 51191 ]

[ 0, 250, 32076, 8, 15352, 30054, 3495, 2214, 14, 7630, 6568, 5, 4780, 9, 1619, 6, 4246, 10, 20902, 11739, 9, 13305, 6, 3459, 8, 21979, 29589, 6, 31391, 1672, 9590, 6, 8, 21040, 2426, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 23667, 27841, 139, 20889, 6, 42, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 65919, 55753, 51209, 50923, 51334, 50923, 50427, 51256, 51033, 50433, 51772, 63747, 51451, 50859, 54141, 57757, 51830, 51012, 51382, 55223, 52000, 57973, 51451, 56421, 50883, 54920, 51091, 53046, 51124, 53046, 54055, 57101, 64595, 53735, 77636, 52056, 58285, 65751, 51157, 50909, 51159, 51149, 51048, 50416, 53587, 54217, 50420, 51830, 54149, 51964, 51637, 52070, 50959, 51837, 51411, 51664, 51030, 71799, 50866, 61556, 50866, 54074, 67234, 55969, 51141, 76778, 50427, 51149, 54725, 51516, 51074, 51830, 50836, 61556, 50987, 71799, 50987, 51468, 51149, 51267, 50433, 50909, 79881, 51153, 51058, 51137, 51091, 52000, 50936, 61556, 51058, 54799, 51006, 65634, 53239, 52070, 50942, 51280, 51542, 51837, 51377, 51830, 50800, 54799, 51174, 61556, 50978, 51842, 50909, 51393, 50320, 70083, 50847, 72269, 51516, 51432, 51664, 50948, 52029, 50934, 50895, 51149, 50938, 50885, 51127, 50909, 51103, 50456, 51153, 50827, 53046, 51100, 54799, 50886, 61556, 50854, 51468, 51149, 51212, 58637, 50915, 51516, 51177, 51837, 50901, 51416, 51204, 52120, 50835, 51149, 50987, 50847, 74606, 51153, 51337, 51830, 50836, 51468, 51149, 50901, 50421, 51366, 50925, 51451, 50987, 51408, 57817, 51280, 51115, 51664, 50924, 54074, 67234, 55969, 51189, 50885, 51359, 50427, 51149, 70303, 52070, 50892, 51837, 51400, 51830, 50840, 51451, 51079, 51366, 50892, 51468, 50909, 76782, 51408, 56298, 51137, 50967, 52000, 50948, 51451, 50978, 71799, 50925, 61556, 50833, 65634, 61283, 77046, 51516, 50984, 51366, 50878, 51408, 63280, 64862, 51830, 50890, 51468, 63955, 50909, 51418, 50320, 70083, 51830, 64077, 52070, 50937, 51948, 51255, 51964, 51189, 76917, 52468, 51508, 54518, 50883, 50909, 51424, 50320, 55990, 51003, 50451, 54223, 50911, 50452, 54223, 54353, 51516, 50959, 53046, 51016, 51468, 50909, 51424, 50320, 51111, 50457, 53046, 56073, 50460, 57101, 50823, 50799, 52070, 50873, 51948, 51412, 51416, 51204, 65634, 60753, 50915, 69546, 51149, 67697, 53587, 61912, 51435, 51008, 51830, 50808, 79967, 51280, 53674, 50426, 51489, 50849, 51948, 51101, 51664, 50936, 51366, 51158, 51451, 50889, 71799, 50901, 61556, 50866, 52029, 50934, 50884, 51149, 50938, 50909, 58310, 51183, 50847, 51077, 50427, 51408, 56632, 51830, 79716, 50795, 71799, 50912, 61556, 51589, 67234, 69750, 51242, 50433, 51366, 56282, 51964, 51189, 51489, 50914, 51948, 51241, 51137, 50807, 52000, 50948, 51366, 50805, 51451, 51267, 54799, 50974, 61556, 50866, 58805, 61283, 51003, 50439, 51408, 50910, 51149, 61985, 51830, 50840, 51366, 50938, 51408, 50938, 54799, 50912, 61556, 50959, 51956, 51149, 54323, 51153, 50978, 51664, 54472, 51135, 67234, 58310, 51047, 50847, 51103, 50451, 51149, 52961, 51153, 51000, 51489, 50857, 51948, 50822, 51280, 51337, 53046, 50914, 54799, 50955, 61556, 50942, 51956, 51149, 71978, 58056, 54920, 51345, 51830, 50937, 65634, 61283, 78556, 51149, 61062, 52709, 50800, 55165, 50897, 51964, 51100, 51280, 51884, 51837, 50937, 51209, 50923, 55553, 50976, 51956, 50909, 69750, 50892, 50425, 57101, 59216, 51137, 50991, 51664, 50865, 51256, 56155, 51135, 50835, 51149, 50865, 50909, 57486, 51189, 50885, 51314, 50432, 51964, 57070, 51280, 51129, 51772, 50948, 51956, 51149, 57750, 55965, 51964, 51212, 51280, 51242, 52709, 51158, 55165, 51111, 51837, 51177, 51526, 50865, 52000, 50830, 51451, 51030, 59829, 51066, 53552, 50835, 51149, 64208, 68795, 51830, 50887, 51830, 50948, 51956, 60395, 51149, 69265, 50847, 51210, 50449, 50885, 51445, 50450, 51964, 50901, 55165, 50844, 51837, 50851, 52709, 50854, 51526, 50924, 54223, 50936, 52000, 51030, 59829, 51072, 61394, 50835, 51149, 50917, 50909, 55969, 51103, 50456, 51280, 51294, 51837, 51212, 52778, 51191, 53519, 51351, 51910, 50879, 53046, 51158, 51451, 51286, 51956, 62848, 51149, 50805, 54920, 50807, 53046, 52017, 53587, 51407, 53552, 50835, 51149, 50917, 69546, 50419, 51149, 59288, 51837, 50851, 51830, 50855, 51956, 50425, 69193, 50426, 51964, 51377, 52778, 50942, 53519, 50845, 51664, 50948, 51451, 50889, 71799, 51058, 61556, 50892, 52029, 50934, 50884, 51149, 59192, 51189, 50427, 51408, 50830, 51366, 53182, 51837, 50912, 51830, 50855, 61556, 50827, 71799, 50984, 51468, 51149, 51177, 50433, 51408, 73835, 51280, 51134, 51137, 51091, 52000, 50936, 51451, 51203, 54799, 51079, 61556, 50838, 65634, 77108, 51254, 50439, 51408, 50795, 51366, 63322, 52778, 50812, 53519, 50942, 51837, 50941, 51830, 50865, 54799, 51142, 61556, 51373, 67234, 51393, 50320, 68711, 60179, 50450, 51664, 50865, 52029, 50934, 50884, 51149, 50865, 50909, 57486, 51159, 50885, 51447, 50455, 54799, 50978, 61556, 54752, 51964, 51100, 51837, 50974, 52778, 50897, 53519, 50878, 51830, 51100, 51956, 58056, 51149, 50849, 54920, 50983, 53046, 50943, 53552, 50835, 51149, 50917, 72975, 70389, 50419, 53587, 62420, 51280, 50865, 51837, 50862, 52709, 50836, 55165, 50836, 51830, 50812, 51408, 50959, 51451, 51058, 51366, 50917, 51468, 51149, 50905, 50425, 59829, 53537, 51964, 51110, 51837, 51642, 54513, 50822, 53519, 50925, 55374, 50933, 51664, 50948, 54161, 67234, 51424, 50320, 57486, 61677, 52720, 50431, 53208, 60648, 51830, 50800, 51451, 50955, 51366, 50917, 51408, 50865, 51956, 63456, 51149, 75094, 54291, 53663, 51837, 51337, 54513, 50800, 55374, 51215, 51280, 51100, 53519, 51346, 51137, 50807, 52000, 50948, 51451, 50987, 51366, 50938, 51408, 50805, 71799, 50866, 61556, 50878, 53552, 67234, 55196, 51199, 50439, 51149, 61985, 51830, 50893, 51956, 59995, 51149, 50901, 50449, 59829, 62568, 55165, 51008, 51964, 50901, 51837, 51142, 52709, 50955, 51664, 50948, 52029, 50934, 50884, 69546, 51149, 50889, 75092, 50456, 51280, 51191, 51837, 51177, 52778, 51204, 53519, 51191, 54223, 50893, 51956, 54920, 51204, 53046, 50893, 55540, 51009, 65634, 64278, 50914, 51149, 55385, 51837, 51642, 51830, 50910, 58139, 53519, 51423, 52778, 51051, 51664, 50924, 51408, 50865, 51451, 51048, 51366, 51073, 61556, 50892, 71799, 50978, 52029, 50934, 50818, 51149, 59092, 51100, 50847, 51103, 50432, 52778, 52134, 51837, 50942, 51830, 50855, 51408, 50897, 71799, 50933, 61556, 50874, 51956, 50433, 50909, 51312, 51149, 51267, 50438, 51964, 50795, 51137, 51091, 52000, 50948, 51451, 50917, 51366, 50865, 51408, 50879, 61556, 50838, 54799, 51376, 65634, 52210, 54513, 50830, 53481, 51073, 51280, 51013, 51830, 50840, 54799, 50933, 61556, 50878, 51956, 51149, 68711, 58056, 50450, 53519, 51254, 51664, 50948, 54001, 67234, 51424, 50320, 57486, 77948, 51837, 50857, 53046, 51291, 54799, 50959, 61556, 50878, 51468, 62848, 51149, 72914, 51416, 51204, 68898, 58637, 51605, 54513, 50800, 53481, 50991, 51830, 53095, 51044, 70246, 50943, 51149, 50943, 50419, 53208, 62420, 53519, 50867, 51830, 50952, 51209, 51388, 51956, 50425, 54291, 52038, 53519, 50833, 53481, 50955, 51664, 50948, 51256, 50924, 54001, 50835, 51149, 50865, 50909, 57486, 51056, 50430, 59829, 52119, 53519, 50812, 53481, 50844, 51416, 50800, 51830, 50836, 51772, 51575, 50835, 62848, 51149, 75094, 59829, 61445, 53519, 50808, 53481, 50854, 51137, 51112, 52000, 50936, 51451, 50974, 71799, 51008, 61556, 53095, 51044, 50835, 51149, 51174, 50909, 56391, 53519, 50833, 53481, 50844, 51830, 50812, 51830, 50911, 54074, 50829, 60395, 51149, 50901, 50449, 53081, 57513, 55392, 50450, 53519, 50854, 53481, 50933, 51526, 50910 ]

[ 0, 250, 33928, 8, 11653, 5175, 3495, 2214, 4246, 21979, 8669, 6, 2382, 3459, 8669, 6, 31391, 1672, 9590, 6, 23338, 33518, 1264, 6, 8, 2236, 1021, 2678, 29, 4, 590, 10, 20889, 9, 21436, 163, 5683, 36, 7083, 4308, 1001, 43, 11, 204, 73, 306, 86, 6, 5, 2125, 16, 278, 11, 5, 762, 9, 381, 538, 8, 29769, 198, 5, 40286, 381, 6, 83, 6, 8, 163, 4, 20, 15352, 30054, 15229, 7630, 6568, 10, 1472, 9, 10563, 8, 26545, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58402, 76501, 51374, 51054, 51763, 58045, 51815, 51025, 54468, 51566, 75103, 51017, 51343, 50868, 51496, 50850, 51552, 52124, 68801, 58168, 50841, 53158, 52712, 79646, 70044, 51023, 51345, 53429, 67450, 53110, 52667, 51349, 72742, 51267, 51017, 51073, 50868, 51343, 50850, 72750, 51920, 50829, 54585, 50948, 51281, 51048, 56267, 56910, 53349, 53044, 51349, 50865, 50946, 67493, 70436, 54368, 54825, 55082, 51349, 66341, 50981, 51017, 51073, 50868, 61659, 51159, 51268, 66404, 51920, 52881, 51349, 56473, 50829, 54468, 72742, 51157, 51017, 51274, 50868, 51141, 50850, 51218, 51089, 51496, 53195, 67777, 53349, 52761, 51349, 53592, 52641, 51349, 54572, 51295, 50816, 52995, 52667, 51349, 57679, 78775, 51274, 50850, 51343, 51268, 50865, 54825, 70759, 51920, 50829, 54585, 50879, 51089, 51227, 53195, 53769, 53349, 53162, 51349, 73564, 56255, 52802, 51181, 66341, 64368, 51048, 50868, 51157, 72681, 51495, 51196, 55625, 51204, 50816, 51920, 52881, 51374, 54572, 56255, 50829, 54468, 75904, 50889, 51017, 51343, 50868, 50983, 50850, 63732, 53349, 53227, 51349, 53592, 52712, 51349, 72742, 51295, 51023, 51073, 53429, 67450, 52995, 52925, 51349, 62052, 51343, 50868, 51274, 50850, 51364, 50816, 53390, 50835, 54585, 50924, 51281, 51290, 56267, 53769, 53110, 52986, 51349, 51554, 50296, 52096, 50946, 59384, 52802, 51349, 50924, 70044, 51017, 51290, 50868, 51073, 76581, 51268, 51073, 54825, 55107, 51920, 52738, 51349, 54572, 78973, 50829, 54468, 54572, 51157, 51017, 51055, 50868, 51290, 50850, 51141, 51089, 51496, 53195, 63968, 53349, 53403, 51349, 56473, 52641, 51349, 50865, 50946, 64368, 50937, 63299, 50816, 52995, 52667, 51349, 72742, 51157, 51017, 66282, 51364, 50850, 51141, 51268, 50865, 54825, 51379, 50816, 51920, 50834, 54585, 50924, 51089, 51013, 53195, 76360, 53349, 52616, 51349, 66341, 63593, 60095, 54368, 55625, 63419, 51181, 60772, 50914, 51017, 53677, 51157, 72681, 51495, 68629, 53545, 50816, 52579, 51374, 50924, 51017, 63305, 50841, 54468, 73564, 50983, 51017, 51274, 50868, 71778, 51141, 51815, 55482, 51282, 52024, 51495, 53295, 50798, 58168, 56166, 51089, 52337, 50420, 51349, 56473, 52712, 51349, 70845, 50901, 52213, 51932, 50816, 53110, 52667, 51349, 72742, 50914, 51017, 66282, 62136, 57321, 51920, 50829, 54585, 56263, 50978, 53037, 51054, 51855, 57393, 53349, 53044, 51349, 50865, 50946, 67493, 56291, 58176, 67240, 52802, 51349, 72742, 51267, 51017, 56567, 56263, 51157, 54598, 51055, 51855, 51055, 50816, 51920, 52881, 51349, 62052, 59790, 65056, 50829, 54468, 50924, 71047, 51017, 51274, 50868, 56263, 51141, 54227, 51566, 51855, 76360, 53349, 52761, 51349, 57122, 58377, 52641, 51349, 63580, 55905, 50987, 54598, 50896, 51855, 60223, 52995, 52667, 51349, 51554, 50296, 51148, 50946, 51274, 51017, 51290, 60172, 62781, 50816, 51920, 50829, 54585, 50795, 54227, 51454, 51855, 77690, 53349, 53162, 51349, 62052, 55905, 56219, 78973, 52802, 51349, 50924, 67208, 51017, 50940, 50868, 53006, 51157, 59403, 51454, 51855, 51454, 50816, 51920, 52881, 51349, 50924, 51171, 51867, 50299, 50897, 67693, 63299, 50856, 50829, 57958, 50948, 51171, 51535, 50946, 51073, 50848, 60728, 62663, 50901, 54598, 51552, 51855, 51527, 51763, 51310, 51282, 50915, 51083, 71732, 53349, 53227, 51684, 58057, 50917, 50944, 56219, 56923, 52712, 51684, 63580, 72024, 58562, 56263, 50914, 51282, 55591, 52995, 52925, 51684, 72742, 59718, 57898, 50901, 53037, 50858, 51763, 63658, 53390, 54248, 54598, 50821, 54585, 50948, 51217, 51127, 50946, 51073, 51017, 51157, 50868, 59590, 50915, 54227, 52512, 51855, 52097, 52124, 51109, 51815, 56777, 53110, 52986, 51349, 70845, 50849, 51815, 51380, 50856, 52802, 51349, 72742, 57679, 50865, 66732, 64803, 52124, 66610, 51920, 52738, 51349, 50924, 67208, 51017, 50938, 50868, 54954, 50845, 52124, 50978, 51815, 67912, 50829, 54468, 69452, 50866, 50946, 51033, 50885, 59790, 50921, 66940, 52124, 60623, 53349, 53403, 51416, 50936, 50988, 51159, 50885, 51932, 50868, 50936, 74432, 50909, 50805, 52047, 50911, 51401, 53466, 51416, 70845, 50940, 60001, 74956, 52047, 50940, 51401, 59517, 51684, 66341, 72024, 58562, 56548, 67276, 50873, 51763, 50806, 51282, 50977, 57080, 66341, 50897, 50848, 50952, 50944, 58433, 50940, 51007, 50897, 51763, 50921, 51282, 58162, 50818, 53525, 53027, 52474, 66763, 51351, 50868, 50924, 50992, 50936, 50935, 50806, 59792, 51815, 50893, 51595, 50873, 60309, 52802, 52474, 51566, 50868, 51235, 50992, 51500, 50935, 51427, 51149, 51112, 51815, 51055, 51595, 69242, 50884, 54706, 52881, 50816, 50846, 54468, 50948, 51688, 50866, 51217, 51036, 50946, 51090, 51017, 66282, 62136, 50807, 52124, 52122, 51815, 52121, 51282, 55482, 51495, 56515, 50798, 58168, 53223, 51349, 56473, 52712, 51349, 63580, 51189, 51017, 50937, 64525, 57134, 52213, 51566, 50816, 53110, 52667, 51349, 50924, 51017, 74794, 61659, 55107, 51920, 50829, 54585, 50879, 53037, 51566, 51855, 59387, 53349, 53044, 51349, 72742, 64368, 56291, 62033, 65056, 52802, 51349, 63580, 50889, 51017, 57122, 56244, 51048, 54598, 51055, 51855, 51055, 50816, 51920, 52881, 51349, 57679, 59790, 59384, 50829, 54468, 56398, 51692, 50946, 50889, 51017, 51364, 50868, 51274, 75707, 54227, 50980, 51855, 70234, 53349, 52761, 51349, 57700, 52641, 51349, 72742, 50873, 54598, 51290, 51855, 66404, 52995, 52667, 51349, 54572, 50889, 51017, 51343, 50868, 51274, 50850, 73321, 51920, 50829, 54585, 50795, 54227, 51603, 51855, 73328, 53349, 53162, 51349, 54572, 51218, 50856, 52802, 51349, 51554, 50296, 50915, 51017, 50924, 63060, 50850, 51157, 59403, 51054, 51855, 63923, 51920, 52881, 51349, 50924, 59654, 50868, 65928, 50829, 57958, 50948, 51171, 50981, 50946, 56611, 60728, 51090, 77644, 54598, 51496, 51855, 51551, 51763, 55157, 53349, 55926, 51282, 51115, 51083, 51542, 50420, 51684, 63580, 57046, 59384, 52712, 51684, 50924, 51171, 50978, 50946, 50805, 72177, 62663, 55107, 52995, 52925, 51684, 50948, 51171, 66015, 50897, 67386, 50868, 50873, 53037, 55508, 53390, 54248, 54598, 50858, 52124, 50827, 54585, 50948, 51217, 51109, 50946, 51157, 51017, 51048, 50868, 56678, 51267, 54227, 51541, 51855, 51226, 52124, 51267, 51815, 51312, 51282, 77777, 53110, 55604, 51495, 56350, 51349, 56567, 70436, 52802, 51349, 50865, 51217, 51109, 50946, 61121, 55363, 55792, 50914, 51815, 51221, 51282, 55742, 53545, 52124, 51116, 51282, 50813, 51495, 50844, 51089, 50829, 51089, 51542, 50816, 52579, 51349, 50948, 65713, 51017, 63879, 50917, 51282, 50813, 51495, 54087, 53902, 51282, 51255, 51495, 56485, 50841, 54468, 51021, 51217, 62756, 62052, 66608, 51175, 50850, 51060, 52124, 50915, 51815, 50905, 51495, 60386, 53110, 52762, 51349, 50893, 52124, 56087, 51349, 50952, 52124, 51541, 51272, 50301, 66357, 52692, 54144, 50924, 51282, 55149, 52474, 50893, 51815, 50893, 51282, 79100, 52474, 50952, 54227, 51012, 51815, 51060, 57958, 65057, 51411, 50848, 51054, 50944, 51029, 50850, 51552, 54598, 51237, 52473, 62288, 58168, 54477, 50816, 54946, 52762, 51171, 51677, 50946, 55711, 50866, 52708, 50806, 51855, 53757, 52927, 51349, 78888, 50983, 50848, 51054, 50944, 51735, 50850, 51343, 52708, 51274, 51855, 51274, 51282, 67878, 58168, 52766, 50856, 53044, 57140, 50944, 56255, 52802, 50946, 50910, 50848, 51033, 50944, 71936, 51060, 52473, 54792, 53237, 52881, 51526 ]

[ 0, 250, 765, 5175, 2214, 11, 12608, 3694, 6, 4246, 10, 2382, 3459, 8669, 6, 2342, 4467, 6, 20535, 2810, 6, 8, 21072, 6, 19, 12577, 8669, 31391, 27903, 1271, 18632, 4, 8504, 11, 10, 204, 73, 306, 86, 6543, 8, 1375, 23, 10, 38451, 3938, 20889, 6, 24, 7630, 6568, 10, 2933, 6, 25306, 5466, 6, 5378, 16364, 19, 814, 8, 9066, 3423, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 56636, 50865, 52632, 59578, 55456, 51835, 52970, 52296, 50801, 51620, 52970, 51358, 51341, 67585, 50800, 51546, 50800, 52828, 53984, 74193, 70680, 51820, 50801, 51757, 51641, 51358, 51341, 67585, 50800, 51546, 50800, 52828, 53984, 51754, 54961, 52567, 56844, 52218, 50800, 50799, 54961, 50800, 53054, 59578, 51835, 56636, 52296, 50801, 51620, 56636, 51161, 51495, 63021, 58744, 69809, 53984, 51628, 52061, 52262, 52298, 52218, 51724, 52061, 52831, 52298, 51820, 52211, 71112, 51757, 51495, 63021, 58744, 69809, 53984, 52809, 50801, 50800, 50799, 56636, 50865, 54471, 59578, 51835, 52970, 51620, 52970, 50983, 51089, 66081, 51403, 50800, 53706, 53984, 74193, 52262, 50801, 51724, 52211, 52218, 51820, 52970, 50865, 51641, 52218, 51757, 53152, 50865, 51641, 51291, 51089, 66081, 51403, 50800, 53706, 53984, 51754, 52851, 55955, 52567, 50801, 50800, 50799, 52970, 51036, 53149, 59578, 51620, 52314, 50865, 51495, 63021, 58744, 69809, 53984, 52765, 50801, 51628, 51744, 50865, 56321, 51724, 51641, 66584, 50801, 52513, 50801, 51757, 51495, 63021, 58744, 69809, 53984, 51754, 50801, 52567, 50801, 50800, 50799, 56636, 50865, 52632, 59578, 55456, 51835, 52970, 52296, 50801, 51620, 52970, 51358, 51341, 67585, 50800, 51546, 50800, 52828, 53984, 74193, 70680, 51820, 50801, 51757, 51641, 51358, 51341, 67585, 50800, 51546, 50800, 52828, 53984, 51754, 54961, 52567, 56844, 52218, 50800, 50799, 54961, 50800, 53054, 59578, 51835, 56636, 52296, 50801, 51620, 56636, 51161, 51495, 63021, 58744, 69809, 53984, 51628, 52061, 52262, 52298, 52218, 51724, 52061, 52831, 52298, 51820, 52211, 71112, 51757, 51495, 63021, 58744, 69809, 53984, 52809, 50801, 50800, 50799, 56636, 50865, 54471, 59578, 51835, 52970, 51620, 52970, 50983, 51089, 66081, 51403, 50800, 53706, 53984, 74193, 52262, 50801, 51724, 52211, 52218, 51820, 52970, 50865, 51641, 52218, 51757, 53152, 50865, 51641, 51291, 51089, 66081, 51403, 50800, 53706, 53984, 51754, 52851, 55955, 52567, 50801, 50800, 50799, 52970, 51036, 53149, 59578, 51620, 52314, 50865, 51495, 63021, 58744, 69809, 53984, 52765, 50801, 51628, 51744, 50865, 56321, 51724, 51641, 66584, 65938, 55259, 58350, 57789, 68211, 55830, 51126, 50445, 54027, 77388, 53320, 63491, 52202, 59874, 58579, 52671, 55256, 51495, 63021, 58744, 69809, 50800, 52161, 50371, 51822, 57465, 52083, 61096, 52251, 60535, 52156, 64405, 52604, 53137, 52480, 53735, 59747, 53598, 58323, 54051, 56551, 55639, 55503, 59342, 58088, 57995, 60059, 51126, 50799, 56636, 50865, 52632, 51036, 50747, 50345, 53305, 55023, 51049, 55456, 50800, 51402, 51835, 52970, 55023, 51049, 52296, 51976, 51620, 52970, 51358, 51341, 67585, 50800, 51546, 50800, 52828, 52390, 51049, 52765, 56862, 51628, 51772, 50860, 51674, 55166, 55023, 53365, 51556, 70680, 55023, 53365, 50439, 50771, 50288, 62078, 50771, 50287, 50828, 50771, 50286, 54735, 51772, 50860, 51674, 50860, 63565, 50828, 50771, 50284, 51187, 58350, 50771, 50283, 58829, 50771, 50282, 52878, 50771, 50281, 50828, 50771, 50280, 53704, 55023, 53365, 50445, 50771, 50279, 50828, 50771, 50278, 58275, 50771, 50277, 50828, 50771, 50276, 50828, 50771, 50275, 54255, 50771, 50274, 50828, 50771, 50273, 51187, 60972, 50771, 50272, 53035, 51641, 51358, 51772, 50802, 51674, 50802, 51341, 67585, 50800, 51546, 50800, 52828, 55023, 52390, 53365, 51647, 51754, 54961, 51049, 52567, 56844, 52218, 53365, 50799, 54961, 50800, 53054, 51036, 50747, 50345, 53305, 55023, 53365, 51402, 51835, 56636, 55023, 51049, 52296, 51976, 51620, 56636, 51161, 51495, 63021, 58744, 69809, 52390, 51049, 52765, 56862, 51628, 52061, 55023, 51049, 52262, 52298, 73795, 51724, 52061, 55023, 53365, 50439, 50771, 50288, 63337, 50771, 50287, 50846, 50771, 50286, 55201, 52298, 50800, 63565, 50846, 50771, 50284, 50846, 50771, 50283, 51239, 58350, 50771, 50281, 50846, 50771, 50282, 50846, 50771, 50280, 50846, 50771, 50279, 61110, 50771, 50278, 50846, 50771, 50277, 53239, 52211, 51358, 50771, 50276, 50846, 50771, 50274, 50846, 50771, 50275, 54376, 55023, 53365, 50445, 50771, 50273, 50846, 50771, 50272, 59484, 50771, 50271, 50846, 51618, 51757, 51495, 63021, 58744, 69809, 55023, 52390, 51049, 52809, 63735, 51453, 50800, 70715, 50799, 56636, 50865, 54471, 51036, 50747, 50345, 53305, 55023, 53365, 51402, 51835, 52970, 55023, 53365, 69282, 52970, 50983, 51089, 66081, 51403, 50800, 53706, 52390, 51049, 52765, 56862, 51628, 51772, 50860, 51674, 55166, 55023, 51049, 52262, 51976, 51724, 52211, 52218, 55023, 51049, 52831, 51772, 50860, 51674, 52715, 51820, 52970, 50865, 51641, 52218, 55023, 53365, 51618, 51757, 53152, 50865, 51641, 51291, 51772, 50802, 51674, 50802, 51089, 66081, 51403, 50800, 53706, 55023, 52390, 53365, 51647, 51754, 52851, 50865, 51976, 52567, 63735, 50799, 52970, 51036, 53149, 51036, 50747, 50345, 53305, 55023, 53365, 51402, 51835, 50903, 53365, 69282, 52314, 50865, 51495, 63021, 58744, 69809, 52390, 51049, 52765, 50801, 55023, 77763, 51744, 50865, 56862, 52262, 51976, 51724, 51641, 50918, 56862, 52831, 51976, 51820, 56862, 52513, 51976, 51757, 51495, 63021, 58744, 69809, 55023, 52390, 53365, 51647, 51754, 51976, 52567, 63735, 50799, 56636, 50865, 52632, 51036, 50747, 50345, 53305, 55023, 51049, 55456, 50800, 51402, 51835, 52970, 55023, 51049, 52296, 51976, 51620, 52970, 51358, 51341, 67585, 50800, 51546, 50800, 52828, 52390, 51049, 52765, 56862, 51628, 51772, 50860, 51674, 55166, 55023, 53365, 51556, 70680, 55023, 53365, 50439, 50771, 50288, 62078, 50771, 50287, 50828, 50771, 50286, 54735, 51772, 50860, 51674, 50860, 63565, 50828, 50771, 50284, 51187, 58350, 50771, 50283, 58829, 50771, 50282, 52878, 50771, 50281, 50828, 50771, 50280, 53704, 55023, 53365, 50445, 50771, 50279, 50828, 50771, 50278, 58275, 50771, 50277, 50828, 50771, 50276, 50828, 50771, 50275, 54255, 50771, 50274, 50828, 50771, 50273, 51187, 60972, 50771, 50272, 53035, 51772, 50802, 51674, 50802, 51341, 67585, 50800, 51546, 50800, 52828, 55023, 52390, 53365, 51647, 51754, 54961, 51049, 52567, 56844, 52218, 53365, 50799, 54961, 52218, 55023, 53365, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 17627, 17274, 3495, 2214, 4246, 13305, 6, 32909, 6, 20535, 2810, 6, 21072, 6, 8, 2724, 368, 31365, 25999, 6, 278, 11, 5, 762, 9, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 12730, 163, 5683, 6, 7630, 14805, 10, 1372, 8, 33558, 6711, 19, 17878, 9, 2365, 8, 1619, 23338, 293, 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 ]

[ 57739, 52534, 52441, 51431, 55401, 51539, 52275, 50835, 51223, 50833, 51513, 50859, 51402, 54697, 50835, 51513, 50917, 50418, 51223, 50977, 55997, 52223, 59043, 51431, 50908, 52111, 51916, 51004, 51513, 50862, 51223, 53803, 51723, 59105, 56061, 52465, 50835, 51223, 50808, 51513, 71646, 54697, 64958, 50855, 51513, 54216, 50964, 53796, 51792, 50835, 51223, 54112, 50964, 57656, 54390, 52771, 50928, 51513, 50818, 51250, 51031, 51223, 53040, 51898, 51862, 58009, 52275, 50829, 51572, 54697, 50825, 51513, 55945, 51133, 77340, 51916, 50835, 51223, 54803, 51723, 52859, 51916, 51004, 51513, 50845, 51223, 54086, 50832, 56061, 52465, 50835, 77775, 51262, 50930, 51355, 63756, 51723, 61315, 54697, 50837, 51513, 50828, 51250, 50883, 51223, 53137, 51133, 54071, 51723, 52465, 52275, 50825, 51513, 50854, 52215, 51916, 50982, 51513, 65635, 52534, 52441, 51431, 53940, 53735, 51464, 50834, 51223, 51269, 51513, 50984, 51402, 53637, 50835, 51513, 62799, 51223, 54475, 51431, 52497, 51916, 50835, 51223, 50864, 73846, 52111, 52223, 50982, 51513, 50862, 51223, 53803, 50832, 56061, 52223, 50835, 51223, 50844, 51513, 63024, 51723, 51126, 51532, 53940, 64958, 50855, 51513, 53695, 50964, 53600, 52275, 50825, 75923, 51513, 55167, 50964, 57656, 54715, 52771, 51004, 51513, 51031, 51223, 50895, 51658, 51464, 52275, 50829, 51572, 54697, 50825, 51250, 50817, 51513, 53675, 50832, 51833, 50834, 51223, 50844, 52283, 52223, 50982, 51513, 60143, 53562, 50832, 56061, 52348, 50834, 51513, 50834, 51250, 50961, 51536, 51031, 51647, 53940, 50837, 51223, 55670, 54530, 50835, 51513, 50810, 52215, 51916, 50982, 51513, 50857, 51223, 50862, 52534, 52441, 50832, 53735, 68290, 51223, 50812, 51513, 50821, 51402, 54697, 50835, 51513, 61292, 51223, 54878, 50832, 51833, 50835, 75265, 51513, 50857, 52111, 52348, 50928, 51513, 50862, 51223, 53803, 50832, 56061, 52223, 50835, 75923, 51513, 50854, 51532, 53940, 50870, 67569, 51513, 53695, 50964, 54412, 51792, 50825, 51223, 50874, 51513, 54112, 50964, 59105, 54390, 52748, 50928, 51513, 51031, 51223, 50884, 51658, 51539, 51792, 50829, 51572, 53940, 50825, 51513, 50818, 51250, 51031, 51223, 52986, 50832, 51916, 50829, 51223, 50854, 52283, 52223, 50982, 51513, 50892, 51223, 61495, 51062, 75589, 50832, 54087, 52348, 50835, 77775, 51262, 52236, 50331, 51391, 51647, 53940, 50863, 51513, 50828, 51223, 53137, 50964, 67992, 51792, 50835, 51513, 50854, 52215, 51833, 50928, 51513, 60143, 50862, 52534, 53674, 50832, 53669, 76445, 51223, 51269, 51513, 50907, 51402, 53637, 50835, 51513, 62799, 51223, 54475, 50832, 51833, 50829, 75265, 73846, 52111, 52223, 50928, 51513, 50855, 51223, 53803, 50832, 56061, 52465, 50835, 51223, 50874, 51513, 50854, 51532, 54697, 50837, 67569, 51513, 53810, 50964, 54412, 52275, 50835, 51223, 50874, 51513, 50844, 51250, 55098, 50964, 59105, 54390, 52748, 50982, 51250, 68676, 50961, 51223, 50884, 51658, 51464, 52275, 50829, 51572, 53637, 50825, 51250, 50817, 51513, 53675, 51096, 57656, 51916, 50829, 79203, 52283, 52348, 50928, 51513, 50862, 51223, 51391, 53919, 51004, 50448, 52357, 56663, 50832, 56061, 52348, 69007, 65803, 50883, 51536, 51031, 52912, 50955, 52956, 66941, 51096, 54412, 53637, 53555, 51205, 51524, 50791, 51792, 50825, 52357, 51939, 53919, 51692, 52215, 52223, 50928, 52534, 52441, 50832, 53669, 51464, 50834, 51223, 51252, 51513, 50907, 51402, 54697, 50835, 51513, 65000, 51223, 54878, 50832, 52223, 50835, 51223, 50864, 51513, 50857, 52111, 52348, 51004, 51513, 50862, 51223, 53383, 50832, 54087, 52223, 50834, 75923, 51513, 50854, 51532, 53637, 50870, 67569, 51513, 53695, 50964, 54412, 51792, 50825, 75923, 51513, 50844, 51250, 55098, 50964, 57656, 53617, 52771, 50928, 51250, 68676, 50961, 51223, 50895, 51658, 51539, 51909, 66657, 54697, 50835, 51262, 50818, 51355, 50817, 51223, 52616, 50832, 52223, 50835, 52283, 51916, 50928, 51513, 51043, 51223, 61495, 51062, 51535, 50450, 50832, 56061, 52465, 50835, 51223, 50987, 51262, 50936, 51355, 52035, 50331, 51448, 51647, 53637, 50863, 51453, 51792, 50825, 51513, 50854, 51250, 51295, 52215, 52223, 50982, 51513, 50857, 51223, 50857, 52534, 53674, 50832, 53669, 51437, 50829, 51223, 51252, 51513, 50984, 51402, 54697, 50825, 51513, 65000, 51223, 54878, 50832, 51916, 50829, 75265, 51513, 50857, 52111, 52223, 50982, 51513, 50862, 51223, 53383, 50832, 56061, 52465, 50829, 75923, 51513, 50854, 51250, 50855, 51532, 53940, 50870, 51223, 50862, 80177, 51250, 54215, 50964, 54412, 52275, 50835, 79203, 51513, 50833, 51250, 55310, 50964, 57656, 54390, 52465, 50982, 51250, 68676, 50961, 51223, 50884, 51658, 51464, 52275, 66687, 54697, 50835, 51250, 50817, 51513, 53885, 50832, 52223, 50834, 51223, 50854, 52283, 52348, 50982, 51513, 60143, 51741, 50340, 50982, 53919, 52772, 50832, 56061, 52465, 69007, 50829, 51250, 50883, 52912, 51962, 50345, 50805, 51647, 54697, 53553, 51133, 50901, 55192, 50825, 51513, 51115, 52357, 52015, 53919, 51623, 52215, 51833, 51004, 51223, 51043, 61332, 53735, 51464, 57030, 51133, 52062, 51402, 54697, 53023, 50832, 51916, 50829, 51223, 50987, 52111, 52348, 53098, 50832, 54087, 52465, 50835, 51223, 50844, 51513, 50833, 51532, 54697, 50837, 51223, 50862, 80177, 51361, 51792, 50825, 51223, 50827, 51513, 50844, 52224, 54390, 52771, 50982, 51513, 50961, 51223, 50895, 51658, 51464, 51909, 66657, 54697, 50835, 51250, 50818, 51536, 51031, 51223, 53044, 50832, 51916, 50829, 52283, 51916, 50982, 51223, 61495, 51062, 71320, 50832, 56061, 52348, 50835, 51223, 50857, 51250, 50930, 51536, 53819, 50331, 50981, 51647, 53940, 50870, 68540, 51543, 50883, 51513, 50835, 51453, 51792, 50825, 51513, 50854, 52215, 51833, 51004, 51513, 50901, 77775, 52534, 53674, 50832, 53735, 51539, 50835, 51223, 50844, 51402, 53940, 50825, 51513, 59748, 51223, 54402, 50832, 51833, 50835, 51223, 50882, 51513, 72356, 52223, 50982, 51513, 50795, 51223, 54156, 50832, 54087, 52348, 50835, 51223, 50854, 51532, 53940, 50837, 64417, 51513, 52359, 50964, 53600, 51792, 50825, 75923, 51513, 51221, 50435, 50964, 59105, 53617, 52748, 50982, 51223, 50930, 51658, 51539, 77319, 51223, 50874, 51572, 53940, 50835, 51513, 60681, 51223, 57736, 50832, 51833, 50829, 51223, 50800, 51513, 50806, 52283, 52223, 50982, 51223, 54755, 53283, 53291, 56061, 52348, 50829, 79203, 51513, 50833, 51647, 54697, 50837, 74600, 51513, 52485, 50964, 51550, 53283, 51421, 51792, 50825, 79203, 51513, 52250, 52215, 52223, 51004, 51223, 53501, 52534, 51073, 62581, 51313, 53844, 51021, 57017, 51293, 59405, 52275, 50839, 51085, 51162, 50900, 51345, 51772, 50851, 79529, 51334, 50859, 51921, 50820, 51334, 50840, 51209, 65000, 51772, 54402, 53354, 56330, 51464, 50949, 51772, 50867, 51209, 50867, 51334, 53910, 53283, 66224, 51539, 50863, 51334, 50855, 51209, 50862, 51772, 53803, 51105, 51173, 50832, 53396, 51130, 50961, 51197, 51346, 50956, 51345, 51772, 50912, 73780, 51334, 50800, 51999, 51539, 50891, 51334, 50855, 51209, 59225, 51772, 50855, 51361, 53551, 50820, 51772, 50886, 51209, 50886, 51334, 50813, 52224, 54169, 51044, 50863, 51334, 50836, 51209, 50855, 51772, 50867, 53357, 51175, 53358, 52546, 50841, 51050, 51116, 50871, 51160, 51772, 50854, 51209, 50833, 51334, 50808, 52260, 51437, 50870, 51772, 50862, 51209, 50862, 51334, 54465, 50832, 51539, 50949 ]

[ 0, 250, 15352, 30054, 8, 19448, 11057, 2214, 4246, 10, 11739, 9, 326, 5638, 18026, 6, 23338, 33518, 1264, 6, 32909, 6, 2724, 368, 31365, 25999, 6, 8, 228, 438, 4781, 2088, 6757, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 6, 42, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 12608, 6, 163, 37152, 6, 12608, 119, 1176, 406, 6, 8, 230, 119, 406, 3639, 10, 2842, 9, 33327, 7, 5, 1374, 15229, 6, 150, 5, 10320, 1258, 8, 9804, 5042, 7, 5, 2214, 18, 1372, 8, 12298, 16464, 6, 442, 24, 10686, 13, 1619, 50, 822, 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 ]

[ 54458, 50415, 50852, 60161, 50843, 56344, 51468, 50429, 50852, 59990, 50843, 67129, 53027, 50852, 60954, 51842, 50451, 50852, 52579, 54595, 50822, 54864, 50822, 52394, 63105, 50843, 54359, 53709, 50925, 54461, 50925, 52608, 50925, 51601, 51842, 52039, 50805, 53266, 50805, 51979, 60770, 50852, 60461, 53709, 51111, 54461, 51111, 52608, 51111, 50424, 51769, 60517, 62957, 52334, 51116, 53456, 51116, 51978, 51116, 58932, 57535, 53709, 50867, 54461, 63136, 51468, 50439, 50852, 64562, 52647, 51066, 52609, 51377, 53362, 51072, 67746, 55223, 52609, 50952, 53362, 50917, 52647, 50860, 51842, 50453, 50852, 58472, 51842, 50460, 69386, 52177, 54595, 50822, 54864, 50822, 52394, 50822, 52399, 50820, 53709, 50925, 54461, 50925, 52608, 50925, 50424, 51842, 52039, 50805, 53266, 50805, 51979, 74083, 63609, 53709, 51111, 54461, 51111, 52608, 51111, 50431, 50804, 50863, 57671, 53934, 68442, 50817, 52334, 51116, 53456, 51116, 51978, 51116, 54268, 57854, 51468, 50448, 50852, 58078, 52609, 51255, 52647, 62568, 53362, 51043, 58201, 58077, 52609, 50921, 53362, 50977, 52647, 50860, 51842, 51601, 50852, 63180, 51842, 79142, 55477, 52334, 50840, 53456, 50840, 51978, 50840, 53764, 56839, 52211, 51111, 53542, 51111, 52656, 51111, 50434, 51842, 51431, 50805, 51947, 50805, 52380, 50805, 50436, 50852, 57405, 52211, 50938, 53542, 50938, 52656, 50938, 50442, 51723, 50820, 52339, 50820, 52436, 52616, 62957, 51723, 51116, 52339, 51116, 52436, 51116, 50451, 50843, 61250, 51468, 60651, 54991, 53643, 51432, 51959, 51167, 52951, 51460, 52609, 51160, 52177, 50843, 57404, 52609, 50823, 51959, 51045, 50422, 53643, 50886, 52951, 50860, 51842, 50424, 50852, 60341, 55009, 51258, 74052, 50852, 56305, 54595, 50827, 54864, 50827, 52394, 66143, 57602, 50820, 53709, 50865, 54461, 50865, 52608, 50865, 50443, 76552, 52039, 50942, 53266, 50942, 51979, 69775, 50852, 54368, 53709, 51043, 54461, 51043, 52608, 51043, 50453, 62957, 52334, 51116, 53456, 51116, 51978, 51116, 50460, 50843, 50839, 71349, 50825, 52906, 58592, 53362, 51110, 52647, 50993, 52609, 50993, 50427, 50843, 56657, 52609, 50823, 53362, 51138, 52647, 50860, 51842, 50434, 69591, 51570, 55788, 50852, 55685, 54595, 50827, 54864, 50827, 52394, 66823, 57602, 50820, 53709, 50910, 54461, 50910, 52608, 50910, 51647, 50837, 52039, 51110, 53266, 51110, 51979, 51110, 50455, 53709, 50846, 54461, 50846, 52608, 53173, 63609, 53709, 50805, 54461, 50805, 52608, 50805, 50799, 54595, 50908, 53808, 50825, 54864, 50908, 56173, 50825, 52394, 50908, 52491, 55916, 62957, 54595, 51411, 54864, 51411, 52394, 51411, 62074, 52992, 51468, 50429, 50852, 59508, 53234, 50975, 52114, 51160, 52647, 51221, 52158, 50993, 50436, 50843, 62047, 53234, 59475, 52647, 52179, 52114, 50860, 52158, 50860, 51842, 56960, 60954, 51842, 50451, 50852, 52579, 54595, 50874, 54864, 50874, 52394, 50874, 57268, 51695, 50820, 53709, 50846, 54461, 50846, 52608, 54943, 53709, 50952, 54461, 50952, 52608, 50952, 51601, 51842, 52039, 50925, 53266, 50925, 51979, 50925, 50417, 63609, 53709, 50870, 54461, 50870, 52608, 61543, 53709, 51060, 54461, 51060, 52608, 51060, 53951, 59825, 50816, 72059, 60517, 62957, 53808, 50846, 52334, 51095, 56173, 50846, 53456, 51095, 52491, 50846, 51978, 51095, 58932, 56802, 53808, 50820, 56173, 50820, 52491, 53908, 53689, 50835, 55173, 50835, 52228, 62196, 51468, 50439, 50852, 64562, 52609, 50975, 52647, 50993, 53362, 51346, 67746, 52725, 53362, 51045, 52647, 50823, 52609, 66054, 51842, 50453, 50852, 58472, 51842, 50460, 69386, 52177, 54595, 51051, 54864, 51051, 52394, 51051, 50418, 51842, 56478, 50822, 52906, 50839, 53709, 50846, 53709, 50897, 54461, 50846, 54461, 50897, 52608, 50846, 52608, 50897, 54512, 50865, 50424, 52039, 50937, 53266, 50937, 53628, 50813, 51979, 50937, 50425, 51842, 50427, 53709, 50846, 53709, 51095, 54461, 50846, 54461, 51095, 52608, 50846, 54512, 51286, 52608, 51095, 50428, 50852, 56657, 50804, 58662, 52647, 52151, 51772, 50915, 51674, 50995, 51334, 51466, 51140, 72447, 53390, 77986, 53785, 52609, 52392, 51959, 52071, 53808, 50884, 52334, 51116, 56173, 50884, 53456, 51116, 52491, 50884, 56404, 50975, 51978, 51116, 50441, 51522, 75496, 52995, 55186, 53709, 50827, 54461, 50827, 52608, 66823, 51772, 51490, 51461, 51505, 50856, 51031, 50449, 51334, 51490, 51674, 51490, 50453, 50856, 52881, 51560, 75496, 53110, 60880, 50856, 50841, 51601, 51140, 51388, 50856, 53223, 57929, 50841, 58837, 50841, 54727, 59891, 54595, 50978, 54864, 50978, 52394, 50978, 50422, 51560, 51505, 50843, 52995, 52870, 50856, 50841, 54595, 50827, 54864, 50827, 52394, 50827, 56478, 51524, 50427, 52647, 52140, 51959, 51939, 52609, 52140, 50428, 53709, 50891, 54461, 50891, 52608, 57845, 51772, 50995, 51674, 51097, 51334, 52397, 51560, 51388, 50856, 50841, 53709, 50830, 53808, 51851, 54461, 50830, 56173, 51851, 52491, 51851, 52608, 50830, 54512, 57070, 50434, 52039, 51212, 53266, 51212, 53628, 51058, 51979, 51212, 50436, 51461, 72815, 53110, 59653, 53709, 50846, 53709, 51158, 54461, 50846, 54461, 51158, 52608, 50846, 54512, 50865, 52608, 51158, 50441, 51461, 55019, 53239, 51772, 50938, 51674, 50917, 51334, 51174, 51140, 51192, 50856, 50841, 53808, 50818, 52334, 51095, 56173, 50818, 53456, 51095, 52491, 50818, 56404, 51215, 51978, 51095, 50451, 51772, 51662, 51334, 52528, 51674, 51662, 51098, 51388, 50843, 53110, 55647, 53808, 50835, 56173, 50835, 52491, 59699, 53689, 50971, 55173, 50971, 52228, 62298, 51522, 51505, 50856, 50841, 55858, 56813, 52647, 51642, 52609, 51645, 51959, 51534, 50417, 51461, 51505, 50843, 53110, 50841, 56400, 51031, 50424, 52647, 52015, 52609, 51623, 51959, 52015, 51140, 51286, 50856, 53230, 51522, 75496, 52995, 73957, 52334, 50836, 53456, 50836, 51978, 50836, 56404, 65833, 51772, 51961, 51674, 51961, 51334, 51961, 51461, 51505, 50856, 51031, 52211, 51095, 53542, 51095, 52394, 50805, 52656, 51095, 50443, 50856, 50841, 52608, 54400, 51431, 51116, 51947, 51116, 52380, 51116, 50446, 51560, 75496, 53110, 54926, 52211, 50805, 53542, 50805, 52394, 50911, 52656, 72065, 50856, 64563, 51723, 50863, 52339, 50863, 52436, 50863, 53580, 51110, 50453, 52609, 50835, 51890, 51775, 53464, 51346, 51674, 50863, 69172, 51934, 51852, 50454, 51261, 51505, 50856, 50841, 51723, 50889, 52339, 50889, 52436, 50889, 50460, 51522, 51505, 50843, 52995, 50841, 52177, 51890, 51939, 52609, 52140, 53464, 52140, 50856, 53223, 51256, 52397, 51674, 50995, 51934, 51097, 51522, 51388, 50856, 56670, 51140, 72815, 53110, 62357, 51140, 55019, 59311, 51256, 51174, 51674, 50938, 51934, 50917, 52157, 51192, 50856, 55384, 51674, 51535, 51256, 52598, 51934, 51535, 51461, 51388, 50843, 53110, 59673, 54595, 50827, 54864, 50827, 56478, 50844, 52394, 66823, 52318, 51505, 50856, 59596, 54595, 50928, 51744, 51297, 53709, 50828, 53709, 50952, 54864, 50928, 52384, 51297, 54461, 50828, 54461, 50952, 52394, 50928, 52608, 50828, 53625, 51297, 54512, 50940, 52608, 50952, 50453, 51890, 51534, 52609, 51645, 53464, 51645, 50856, 59617, 52039, 50866, 53266, 50866, 53628, 50851, 51979, 54752, 51140, 51505, 50843, 53110, 50841, 52298, 50908, 53709, 50828, 53709, 51173, 53175, 50908, 54461, 50828, 54461, 51173, 52608, 50828, 53319, 50908, 54512, 50976, 52608, 51173, 50460, 50856, 51031, 51601, 52647, 52151, 52609 ]

[ 0, 250, 15855, 2125, 19, 5175, 4785, 6, 4246, 10, 769, 196, 6757, 8, 856, 17993, 6, 278, 11, 5, 5425, 86, 6543, 9, 112, 73, 398, 4, 20, 7212, 20889, 15229, 11, 272, 3694, 7630, 6568, 10, 3344, 9, 25306, 6, 2933, 6, 8, 1372, 6711, 29, 4, 20, 33301, 30853, 81, 10, 5705, 16331, 33215, 16739, 9, 163, 428, 6, 274, 6, 8, 272, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50861, 56179, 51085, 51056, 51026, 65430, 51056, 50876, 51073, 56014, 64511, 57094, 59353, 55122, 50900, 59229, 61317, 51001, 51073, 55895, 64511, 57094, 61433, 55416, 50951, 60867, 51241, 50956, 51241, 78548, 51540, 51001, 51073, 56546, 69052, 50951, 65815, 51675, 50956, 51675, 50861, 51675, 50450, 51001, 51073, 50462, 50876, 51073, 50474, 51234, 51417, 51050, 51417, 75482, 50906, 51472, 51474, 56759, 60959, 64475, 50876, 51073, 62335, 51417, 50899, 51417, 78549, 50902, 51472, 50462, 50997, 60959, 64475, 51001, 51073, 50474, 50931, 73569, 51675, 50899, 51675, 50871, 51675, 51540, 51081, 69555, 50951, 69052, 50931, 73569, 51675, 50899, 51675, 50871, 51675, 63932, 51073, 50462, 50906, 51073, 50474, 51085, 51417, 51026, 51417, 50900, 51417, 50876, 51472, 51474, 53523, 59229, 61317, 50902, 51073, 55203, 51417, 50956, 73327, 51417, 51001, 51472, 50462, 50900, 59229, 61317, 50931, 51073, 50474, 50951, 65815, 51675, 50956, 51675, 50861, 51675, 51540, 51001, 51073, 56546, 51073, 66836, 73569, 51675, 50899, 51675, 50871, 51675, 50450, 51001, 51073, 50462, 50931, 51073, 50474, 50951, 51073, 51197, 51675, 51026, 51675, 50997, 51675, 50956, 51675, 51540, 51147, 69555, 50951, 69052, 50931, 77468, 51675, 51086, 51675, 50899, 51675, 50871, 51675, 50450, 51001, 51073, 50462, 50902, 51073, 50474, 50900, 51417, 50956, 73327, 51417, 50876, 51472, 51474, 53523, 59229, 61317, 51062, 51073, 62275, 51417, 51026, 51417, 50900, 51417, 50876, 51472, 50462, 51643, 51160, 50474, 51652, 51160, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 51540, 51643, 63447, 51643, 51160, 51085, 65430, 59229, 61928, 64217, 50438, 51643, 51274, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 50462, 51633, 51160, 51085, 65430, 59229, 61928, 64217, 50474, 52200, 51274, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 75196, 51633, 51160, 51085, 65430, 59229, 61928, 64217, 50438, 52200, 51274, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 50462, 51643, 51160, 51085, 65430, 59229, 61928, 64217, 50474, 51721, 51469, 51197, 51359, 50997, 51359, 50956, 51655, 50861, 51655, 50906, 51655, 51474, 50462, 51652, 51160, 51026, 58104, 51073, 50474, 51721, 51469, 51234, 51359, 50997, 51359, 50899, 51655, 50871, 51655, 50906, 51655, 51474, 50462, 51643, 51160, 50474, 51652, 51160, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 51540, 51643, 63447, 51643, 51160, 51085, 65430, 59229, 61928, 64217, 50438, 51643, 51274, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 50462, 51633, 51160, 51085, 65430, 59229, 61928, 64217, 50474, 52200, 51274, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 75196, 51633, 51160, 51085, 65430, 59229, 61928, 64217, 50438, 52200, 51274, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 50462, 51993, 51160, 51050, 64475, 50931, 51073, 50474, 52372, 51469, 51197, 51359, 51026, 51359, 50997, 51359, 50956, 51359, 50906, 51655, 51001, 51655, 50951, 51655, 51474, 50462, 52200, 51160, 51197, 59229, 51056, 51001, 51073, 50474, 52372, 51469, 51026, 51359, 50861, 51359, 50973, 51655, 50902, 51655, 50951, 51655, 51474, 50462, 52200, 50936, 50468, 51993, 50936, 50474, 52372, 51274, 51197, 51417, 50956, 51417, 50906, 51472, 51001, 51472, 50951, 51472, 75196, 52372, 51160, 51197, 59229, 51056, 50906, 51073, 51001, 51073, 50951, 69052, 52372, 51160, 51197, 51417, 50956, 51417, 50906, 51472, 51001, 51472, 50951, 51472, 50450, 51993, 51160, 50462, 52200, 51160, 50474, 51993, 51274, 75482, 78549, 50906, 51472, 50902, 51472, 50931, 51472, 75196, 51993, 51160, 50997, 64475, 50906, 73642, 51073, 50931, 69052, 51993, 51274, 75482, 78549, 50906, 51472, 50902, 51472, 50931, 51472, 50462, 51633, 51160, 50474, 52200, 51274, 51085, 51417, 50900, 73327, 51472, 50876, 51472, 51001, 51472, 75196, 52200, 51160, 51085, 65430, 58104, 64217, 51001, 69052, 52200, 51160, 51085, 51417, 50900, 73327, 51472, 50876, 51472, 51001, 51472, 50450, 51633, 51160, 50462, 51643, 51160, 50474, 51633, 51274, 51026, 73327, 51472, 50973, 51472, 50902, 51472, 75196, 51633, 51160, 51026, 58104, 51073, 50973, 73642, 69052, 51633, 51160, 51026, 73327, 51472, 50973, 51472, 50902, 51472, 50450, 52200, 51160, 50462, 51993, 51160, 50474, 52372, 51685, 51197, 51675, 50956, 51675, 50906, 51896, 51001, 51896, 50951, 51896, 51474, 50438, 51993, 51685, 51050, 51675, 50871, 51675, 50906, 51896, 50902, 51896, 50931, 51896, 50474, 52200, 51685, 51026, 51675, 50861, 51896, 50876, 51896, 51001, 51896, 51474, 50438, 51633, 51685, 51026, 51675, 50861, 51896, 50973, 51896, 50902, 51896, 50474, 51652, 51160, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 51540, 51643, 63447, 51643, 51160, 51085, 65430, 59229, 61928, 64217, 50438, 51643, 51274, 51085, 51417, 50900, 51417, 50956, 51472, 50861, 51472, 50876, 51472, 50462, 52135, 51160, 51026, 60959, 63882, 61928, 51073, 50973, 51073, 50474, 51643, 51469, 51085, 51359, 50900, 51359, 50956, 51655, 50861, 51655, 50876, 51655, 51474, 50474, 52118, 51073, 51540, 55532, 51417, 53874, 51417, 52724, 51417, 52360, 51472, 50438, 52724, 51056, 53252, 51056, 52118, 51056, 52779, 69556, 52724, 51417, 53252, 51417, 52118, 51417, 53276, 51472, 50474, 52724, 51056, 53252, 51056, 52118, 51056, 53328, 51073, 51540, 53074, 51073, 52724, 51675, 53252, 51675, 52118, 51675, 50426, 53276, 69052, 52360, 69556, 53074, 51073, 52724, 51675, 53252, 51675, 52118, 51675, 50462, 53276, 51073, 50474, 52360, 51073, 51540, 56064, 51417, 54470, 51417, 53480, 51417, 52661, 51472, 50438, 53480, 51056, 52508, 51056, 52230, 51056, 52360, 69556, 53480, 51417, 52508, 51417, 52230, 51417, 52779, 51472, 50474, 53480, 51056, 52508, 51056, 52230, 51056, 53276, 51073, 51540, 53328, 51073, 53480, 51675, 52508, 51675, 52230, 51675, 50426, 54548, 69052, 53074, 69556, 53328, 51073, 53480, 51675, 52508, 51675, 52230, 51675, 50462, 52779, 51073, 50474, 52661, 51073, 51540, 55532, 51417, 53874, 51417, 52724, 51417, 52360, 51472, 50438, 52724, 51056, 53252, 51056, 52118, 51056, 52779, 69556, 52724, 51417, 53252, 51417, 52118, 51417, 53276, 51472, 50474, 52724, 51056, 53252, 51056, 52118, 51056, 53328, 51073, 51540, 53074, 51073, 52724, 51675, 53252, 51675, 52118, 51675, 50426, 53276, 69052, 52360, 69556, 52779, 51073, 53480, 51675, 52508, 51675, 52230, 51675, 50462, 53276, 51073, 50474, 53328, 51073, 51540, 53074, 51073, 58912, 51675, 53874, 51675, 53480, 51675, 53252, 51675, 50426, 55183, 69052, 53074, 69556, 53328, 51073, 53874, 51675, 55424, 51675, 52508, 51675, 52230, 51675, 50462, 53276, 51073, 50474, 52779, 51073, 51540, 52724, 51417, 53252, 51417, 52118, 51417, 52360, 51472, 50438, 52724, 51056, 53252, 51056, 52118, 51056, 54122, 69556, 55532, 51417, 53874, 51417, 52724, 51417, 52360, 51472, 50474, 51752, 51160, 51540, 52182, 51160, 55532, 51417, 52724, 51417, 53252, 51472, 52118, 51472, 52360, 51472, 50426, 51752, 68392, 51752, 51160, 55532, 51056, 52724, 51056, 53252, 51073, 52118, 51073, 52360, 69556, 51752, 51274, 55532, 51417, 52724, 51417, 53252, 51472, 52118, 51472, 52360, 51472, 50474, 51596, 51160, 55532, 51056, 52724, 51056 ]

[ 0, 250, 15352, 30054, 1619, 3495, 2214, 11, 230, 10431, 3694, 6, 4246, 13305, 6, 38668, 2236, 6, 21979, 9590, 6, 8, 21072, 4, 590, 10, 19448, 38451, 3938, 20889, 8, 10, 316, 73, 398, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 657, 8, 11098, 4, 20, 33215, 16739, 1171, 2060, 406, 6, 163, 43531, 406, 6, 230, 119, 6, 230, 10431, 401, 6, 8, 230, 10431, 73, 534, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 53261, 50628, 50522, 53391, 51103, 50546, 53985, 50914, 53261, 54911, 51486, 50450, 50931, 50915, 64139, 50915, 50462, 51114, 50915, 58349, 71207, 51001, 50915, 69765, 50915, 50486, 50931, 51422, 64139, 51422, 50522, 54911, 50914, 50534, 53391, 50914, 50546, 56417, 50812, 50549, 67751, 51124, 53261, 53985, 51486, 56415, 50915, 53033, 50915, 50462, 50989, 50915, 54021, 71207, 50956, 50915, 53262, 50915, 50486, 50871, 52644, 53033, 51422, 50522, 55102, 50914, 51868, 51422, 50903, 51047, 50534, 54669, 51103, 53261, 53686, 53259, 50965, 51422, 50973, 51422, 51028, 51422, 51868, 52919, 50801, 51047, 51570, 58833, 50965, 51047, 50973, 51047, 51028, 51047, 50903, 51047, 50474, 53686, 65208, 50915, 51868, 58435, 50915, 50486, 57198, 51591, 51147, 51047, 51522, 52919, 50801, 51047, 50510, 50931, 56901, 51016, 50516, 56806, 50849, 50522, 53686, 51103, 50965, 51422, 50973, 51422, 51028, 51422, 50903, 51047, 50546, 53686, 50914, 51522, 56901, 51016, 53261, 56806, 51103, 50965, 51422, 50973, 51422, 51868, 52919, 50801, 60610, 53686, 55859, 58833, 53686, 51307, 50965, 51422, 50973, 51422, 50903, 51047, 50462, 51001, 71207, 50876, 50915, 52318, 58435, 50915, 50486, 51028, 63772, 51422, 50906, 51422, 51028, 51422, 51560, 51422, 50801, 51047, 50489, 65473, 50492, 50931, 51115, 50510, 53686, 51486, 51001, 56901, 51016, 50522, 51028, 58134, 51422, 50965, 51422, 51140, 51422, 50903, 51047, 50534, 72421, 50546, 54669, 55859, 51016, 53261, 54669, 74127, 51422, 50906, 51422, 51705, 52919, 50801, 62479, 53686, 55965, 54669, 55859, 58833, 54669, 74127, 51422, 50906, 51422, 50903, 51047, 50462, 55102, 51307, 50474, 60834, 51705, 58435, 50915, 50477, 60256, 50480, 51028, 51452, 50486, 50989, 51422, 50906, 51422, 51028, 51422, 52318, 52644, 50801, 51047, 50510, 50906, 56901, 51016, 50522, 50989, 51422, 50906, 51422, 50903, 51047, 50534, 55102, 51103, 50546, 50791, 51016, 53261, 54669, 74127, 51422, 50906, 51422, 51705, 52919, 50801, 62479, 53686, 55965, 54669, 52808, 61726, 55102, 51894, 50450, 50989, 51422, 50906, 51422, 51028, 51422, 50903, 51047, 50474, 51705, 58435, 50915, 50486, 50871, 51422, 51705, 52644, 50801, 51047, 50510, 53391, 51486, 50791, 51016, 50522, 50989, 51422, 50906, 51422, 50903, 51047, 50546, 55102, 55859, 51016, 53261, 53391, 50914, 52318, 52919, 50801, 62479, 54911, 55965, 53985, 54153, 50791, 58833, 51028, 51047, 50903, 51047, 50474, 51001, 50915, 52318, 58435, 50915, 50486, 51028, 52919, 50931, 52919, 51522, 52919, 50801, 51047, 50510, 50791, 51016, 50522, 50903, 51047, 50546, 51001, 50915, 51522, 56901, 51016, 50552, 70806, 50555, 65473, 53261, 51147, 51047, 51028, 51422, 50931, 51422, 51868, 51422, 50801, 60610, 51001, 56901, 58833, 51147, 51047, 50876, 51422, 50931, 51422, 51522, 51422, 50903, 51047, 50474, 51001, 58435, 50915, 50486, 51147, 51047, 51028, 51422, 50931, 51422, 51261, 51422, 50801, 51047, 50510, 51001, 51397, 50791, 51016, 50522, 53985, 51103, 51028, 51422, 50931, 51422, 51150, 51422, 50903, 51047, 50546, 54911, 55859, 51016, 53261, 54911, 79438, 51422, 50871, 51422, 51868, 52919, 50801, 62479, 54911, 53259, 51570, 58833, 51040, 51422, 50871, 51422, 50903, 51047, 50474, 51868, 58435, 50915, 50486, 54911, 53259, 51040, 51422, 50871, 51422, 51522, 52919, 50801, 51047, 50510, 50791, 51016, 50522, 51040, 51422, 50871, 51422, 50903, 51047, 50546, 54911, 50914, 51522, 56901, 51016, 53261, 53391, 79438, 51422, 50906, 51422, 51868, 52919, 50801, 62479, 54911, 55965, 53985, 55859, 58833, 54911, 51486, 51040, 51422, 50965, 51422, 50903, 51047, 50474, 50965, 50915, 51868, 58435, 50915, 50486, 51028, 51047, 51040, 51422, 50965, 51422, 51522, 52919, 50801, 51047, 50510, 50906, 56901, 51016, 50522, 51001, 51047, 50871, 51422, 50965, 51422, 50903, 51047, 50534, 55102, 50914, 50546, 54669, 60763, 50915, 51522, 56901, 51016, 53261, 53686, 61581, 51422, 50965, 51422, 51868, 52919, 50801, 62479, 54669, 55965, 55102, 51486, 50791, 51016, 56415, 51422, 50965, 51422, 50903, 51047, 50474, 55102, 50914, 51868, 58435, 50915, 50486, 53686, 58963, 51422, 50965, 51422, 51522, 52919, 50801, 51047, 50489, 56806, 50812, 50492, 57198, 51894, 50510, 50791, 51016, 50522, 50871, 51422, 50965, 51422, 50965, 51422, 50903, 51047, 50534, 53686, 51103, 50546, 51522, 56901, 51016, 53261, 57198, 51103, 50871, 51422, 50965, 51422, 51868, 52919, 50801, 60610, 53686, 55859, 58833, 53686, 61581, 51422, 50965, 51422, 50903, 51047, 50462, 54669, 50914, 50474, 55102, 51307, 51028, 51025, 51261, 58435, 50915, 50486, 50931, 51115, 50871, 51422, 50965, 51422, 51522, 51422, 50801, 51047, 50510, 50965, 51115, 51028, 72876, 51016, 50522, 50871, 51422, 50965, 51422, 51140, 51422, 50903, 51047, 50546, 55102, 55859, 51016, 53261, 54669, 53259, 50861, 51422, 50906, 51422, 51560, 52919, 50801, 51047, 51570, 51016, 56222, 51422, 50906, 51422, 50903, 51047, 50474, 53686, 50914, 51560, 58435, 50915, 50486, 54669, 53259, 50861, 51422, 50906, 51422, 51261, 52644, 50801, 51047, 50510, 50791, 51016, 50522, 50861, 51422, 50906, 51422, 50903, 51047, 50546, 55102, 55859, 51016, 53261, 53686, 51486, 50861, 51422, 50906, 51422, 51560, 52919, 50801, 51047, 51570, 58833, 54669, 51103, 50861, 51422, 50906, 51422, 50903, 51047, 50474, 55102, 51307, 51560, 58435, 50915, 50486, 50861, 51422, 50906, 51422, 51560, 52644, 50801, 51047, 50510, 50791, 51016, 50522, 50861, 51422, 50906, 51422, 50903, 51047, 50534, 54669, 50914, 50546, 54911, 55859, 51016, 53261, 52689, 51103, 50956, 51422, 50876, 51422, 51522, 52919, 50801, 60610, 53391, 55859, 58833, 54911, 52903, 50900, 52644, 50956, 52644, 50965, 52644, 50903, 51047, 50474, 51522, 58435, 50915, 50486, 51560, 52644, 50801, 51047, 50510, 50791, 51016, 50522, 51040, 51422, 50871, 51422, 50906, 51422, 50903, 51047, 50546, 50791, 51016, 53261, 50956, 51422, 50989, 51422, 50876, 52644, 51522, 52644, 50801, 51047, 51570, 58833, 50956, 51422, 50989, 51422, 50903, 51047, 50474, 50801, 50915, 50486, 51040, 51422, 50906, 51422, 51261, 51422, 50801, 51047, 50510, 50791, 51016, 50522, 53391, 51103, 50956, 51422, 50906, 51422, 51150, 51422, 50903, 51047, 50546, 53985, 55859, 51016, 53261, 54911, 51486, 50956, 51422, 50965, 51422, 51150, 52644, 50801, 70703, 50931, 50915, 64139, 50915, 50462, 51114, 50915, 58349, 71207, 51001, 50915, 69765, 50915, 50486, 50931, 52919, 64139, 51422, 50522, 53391, 51103, 50546, 53985, 50914, 53261, 54911, 51486, 56415, 50915, 53033, 50915, 50462, 50989, 50915, 54021, 71207, 50956, 50915, 53262, 50915, 50486, 50871, 52644, 53033, 52644, 50522, 50903, 51047, 50534, 55102, 50914, 50546, 54669, 50914, 53261, 53686, 53259, 50965, 51422, 50973, 51422, 51028, 51422, 51868, 52919, 50801, 51047, 51570, 58833, 50965, 51047, 50973, 51047, 51028, 51047, 50903, 51047, 50474, 53686, 65208, 50915, 51868, 58435, 50915, 50486, 57198, 51591, 51147, 51047, 51522, 52919, 50801, 51047, 50510, 50931, 56901, 51016, 50516, 56806, 50849, 50522, 53686, 51103, 50965, 51422, 50973, 51422, 51028, 51422, 50903, 51047, 50546, 53686, 50914, 51522, 56901, 51016, 53261, 56806, 51103, 50965, 51422, 50973, 51422, 51868, 52919, 50801, 60610, 53686, 55859, 58833, 53686, 51307, 50965, 51422, 50973, 51422, 50903, 51047, 50462, 51001, 71207, 50876, 50915, 52318, 58435 ]

[ 0, 250, 8787, 3495, 8, 5175, 15229, 11, 2060, 538, 6, 42, 2125, 16, 17407, 30, 63, 2635, 155, 73, 306, 86, 6543, 8, 5, 24429, 2621, 9, 10, 13305, 4, 20, 6711, 19615, 1626, 227, 20425, 6, 15352, 30054, 6, 8, 1372, 6, 19, 12577, 17878, 9, 15073, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 2060, 6, 272, 37152, 6, 163, 43531, 6, 8, 211, 12361, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50623, 51360, 51199, 50420, 51147, 52688, 51081, 54889, 51147, 52739, 51114, 53720, 50931, 52788, 51405, 55608, 51399, 53086, 51062, 54043, 69557, 51034, 51081, 56115, 51147, 52944, 51040, 65505, 50932, 53645, 53052, 76890, 51040, 65668, 51147, 53945, 69609, 50956, 58978, 51114, 53086, 59715, 51176, 57060, 67108, 51034, 51001, 57933, 51040, 52688, 51040, 57643, 53052, 51028, 50933, 50906, 65668, 50931, 53945, 59715, 50989, 58978, 51001, 53086, 51028, 64660, 67446, 51001, 56453, 51028, 53528, 57947, 51034, 57947, 51040, 51199, 72239, 59527, 51028, 61732, 50876, 73357, 52944, 50931, 53109, 51028, 52641, 75417, 50429, 51040, 52739, 50871, 53720, 51040, 52788, 51176, 55608, 51040, 53086, 51050, 54043, 51176, 50827, 51034, 51360, 51199, 50420, 51147, 52688, 50951, 58245, 51147, 64640, 51081, 50825, 51147, 52739, 51114, 53720, 50931, 52788, 51405, 55608, 51399, 53086, 51062, 54043, 69557, 51034, 51081, 56115, 51147, 52944, 51040, 65505, 51309, 53645, 77829, 51081, 60394, 51062, 53998, 51399, 78277, 68232, 51405, 61284, 51339, 53945, 50956, 65505, 53624, 51114, 50825, 51176, 67446, 51147, 56453, 51114, 53528, 51147, 59361, 50931, 50825, 51114, 57723, 51114, 50825, 51034, 51114, 51134, 61683, 52688, 51040, 58125, 50931, 52739, 51147, 50933, 50871, 65668, 51028, 53945, 59715, 50989, 58978, 51001, 53086, 51028, 64660, 67446, 51001, 56453, 51028, 53528, 57947, 51034, 51028, 60123, 51040, 53004, 58529, 50965, 56909, 51040, 52580, 51176, 54889, 51040, 52739, 51050, 53720, 51176, 52788, 51040, 55608, 50871, 53086, 50965, 54043, 59950, 51034, 50989, 51199, 79578, 53004, 51081, 53591, 51399, 52580, 69557, 50871, 58125, 51147, 52739, 51339, 50827, 51040, 56784, 51399, 52788, 50956, 65505, 53624, 51114, 50825, 51176, 67446, 51147, 56453, 51114, 53528, 51147, 59361, 50931, 50825, 51114, 57723, 51114, 50825, 51034, 51114, 60123, 51040, 53004, 58529, 50931, 56909, 51040, 52580, 51176, 54889, 51040, 52739, 51050, 53720, 51176, 52788, 51040, 55608, 50871, 53086, 50965, 54043, 59950, 51028, 51592, 51034, 50989, 51199, 79578, 53004, 51081, 53591, 51399, 52580, 62440, 76133, 52739, 51147, 53720, 51399, 52788, 69609, 65929, 50441, 51114, 53086, 51405, 50827, 50876, 57060, 67176, 51034, 51040, 51199, 51028, 51199, 75536, 53004, 51147, 53591, 50931, 52580, 63009, 50989, 51199, 50429, 51001, 52658, 51114, 54112, 51081, 54181, 51147, 50854, 51378, 58978, 51114, 54746, 61196, 51026, 57060, 65473, 51034, 51028, 67075, 51176, 53004, 60906, 50876, 62149, 51176, 52580, 51197, 54889, 51176, 52739, 51085, 53720, 51197, 52788, 51176, 55608, 50900, 53086, 50956, 54043, 60906, 51034, 75417, 77343, 54351, 51405, 55266, 51062, 53450, 66283, 50429, 51399, 53513, 51081, 55167, 50951, 53614, 50876, 51199, 50441, 50951, 53783, 51147, 55876, 65559, 51034, 51405, 51312, 50417, 50965, 53004, 50876, 53591, 50965, 52580, 51405, 57334, 51399, 64561, 51062, 50834, 51399, 51363, 50429, 50906, 52739, 51028, 53720, 50951, 52788, 51399, 58159, 51062, 64562, 51081, 80131, 51363, 50441, 50876, 53086, 51001, 54043, 69609, 51034, 51028, 51199, 50417, 51081, 54351, 51062, 55266, 50999, 53450, 77213, 51040, 51310, 50429, 51430, 52658, 51339, 54112, 51062, 52729, 51405, 56532, 51399, 54746, 51062, 65860, 65586, 51081, 50854, 51034, 51147, 51003, 50417, 50956, 54351, 50871, 55266, 50899, 53450, 50951, 72792, 60950, 51147, 59551, 50951, 76609, 50871, 52658, 50861, 54112, 50965, 52729, 50906, 56532, 50876, 54746, 51028, 56888, 76254, 51034, 51028, 51003, 50417, 51147, 54351, 51081, 55266, 50951, 53450, 50876, 50820, 51147, 60950, 51028, 59551, 71090, 50429, 51081, 52658, 51062, 54112, 51399, 52729, 51405, 56532, 51339, 54746, 51399, 56888, 51081, 50854, 51034, 51147, 51003, 50417, 50956, 54351, 50871, 55266, 50899, 53450, 50951, 70170, 60950, 51147, 64561, 50951, 51411, 78414, 52658, 50861, 54112, 50965, 52729, 50906, 56532, 50876, 54746, 51028, 56888, 76254, 51034, 51028, 51003, 50417, 51147, 54351, 51081, 55266, 50951, 53450, 50876, 50834, 51147, 70134, 51028, 64561, 50876, 51391, 50429, 51081, 53513, 51062, 55167, 51399, 53614, 51405, 51145, 50441, 51114, 53086, 69609, 50906, 60785, 67176, 51034, 50931, 51199, 50417, 50877, 54351, 50876, 55266, 50877, 52654, 60834, 50931, 51627, 51399, 51538, 50429, 50876, 53911, 51028, 56529, 50876, 54181, 50906, 62079, 50965, 53103, 50861, 57460, 50965, 55685, 50861, 54028, 66457, 51034, 51001, 51199, 50417, 50861, 54351, 50906, 55266, 50861, 52654, 50965, 50810, 51001, 51627, 51062, 51446, 50429, 50906, 53911, 50876, 56529, 50906, 54181, 50965, 57927, 50906, 62738, 50965, 55218, 50861, 53103, 50871, 57460, 50989, 55685, 50871, 54028, 71430, 51034, 51040, 51592, 50417, 50968, 54351, 50931, 54316, 50999, 52654, 51081, 62847, 51312, 50429, 51430, 53911, 51339, 54487, 51062, 54181, 51399, 69862, 51312, 50441, 50999, 53103, 51081, 54803, 58398, 68321, 51592, 50417, 50902, 54351, 51001, 54316, 50951, 52654, 51147, 72792, 51312, 50429, 51146, 53911, 51405, 54487, 51220, 54181, 51062, 66878, 51677, 50441, 50951, 53103, 51147, 54803, 65559, 51034, 68319, 51040, 51199, 75536, 54351, 51028, 55266, 50906, 53450, 71436, 65929, 50429, 50876, 53513, 51001, 55167, 50965, 53614, 60215, 51197, 51199, 51040, 51312, 50441, 50906, 53783, 50965, 55876, 60569, 51034, 50965, 51742, 50417, 51176, 50827, 50900, 53004, 68070, 51040, 53591, 51176, 50827, 50900, 52580, 60906, 50956, 54889, 68070, 51040, 52739, 63489, 50871, 53720, 60906, 50956, 52788, 58529, 51040, 58978, 63613, 51028, 53783, 67364, 59855, 50956, 64180, 59663, 66768, 51034, 50965, 52168, 50417, 51176, 50827, 50900, 54711, 68070, 51040, 55054, 51176, 50827, 50900, 53220, 60906, 50956, 56552, 68070, 51040, 54150, 63489, 50871, 55270, 60906, 50956, 53269, 59362, 51040, 58978, 63613, 51028, 54478, 67364, 60714, 50956, 57060, 59663, 63613, 76898, 52026, 50300, 51627, 62144, 51576, 51034, 51360, 51199, 50420, 51147, 52688, 51081, 54889, 51147, 52739, 51114, 53720, 50931, 52788, 51405, 55608, 51399, 53086, 51062, 54043, 69557, 51034, 51081, 56115, 51147, 52944, 51040, 65505, 50932, 53645, 53052, 76890, 51040, 65668, 51147, 53945, 69609, 50956, 58978, 51114, 53086, 59715, 51176, 57060, 67108, 51034, 51001, 57933, 51040, 52688, 51040, 57643, 53052, 51028, 50933, 50906, 65668, 50931, 53945, 59715, 50989, 58978, 51001, 53086, 51028, 64660, 67446, 51001, 56453, 51028, 53528, 57947, 51034, 57947, 51040, 51199, 72239, 59527, 51028, 61732, 50876, 73357, 52944, 50931, 53109, 51028, 52641, 75417, 50429, 51040, 52739, 50871, 53720, 51040, 52788, 51176, 55608, 51040, 53086, 51050, 54043, 51176, 50827, 51034, 51360, 51199, 50420, 51147, 52688, 50951, 58245, 51147, 64640, 51081, 50825, 51147, 52739, 51114, 53720, 50931, 52788, 51405, 55608, 51399, 53086, 51062, 54043, 69557, 51034, 51081, 56115, 51147, 52944, 51040, 65505, 51309, 53645, 77829, 51081, 60394, 51062, 53998, 51399, 78277, 68232, 51405, 61284, 51339, 53945, 50956, 65505, 53624, 51114, 50825, 51176, 67446, 51147, 56453, 51114, 53528, 51147, 59361, 50931, 50825, 51114, 57723, 51114, 50825, 51034, 51114, 51134, 61683, 52688, 51040, 58125, 50931, 52739, 51147, 50933, 50871, 65668, 51028, 53945, 59715, 50989, 58978, 51001, 53086, 51028, 64660, 67446, 51001, 56453, 51028, 53528 ]

[ 0, 250, 765, 6, 14899, 5175, 2214, 19, 10, 1035, 16464, 6, 4246, 21072, 6, 13305, 6, 4401, 757, 3178, 6, 31391, 1672, 9590, 6, 8, 228, 438, 4781, 2088, 6757, 6, 70, 11491, 13871, 561, 23, 10, 7212, 20889, 11, 5, 762, 9, 274, 10431, 3694, 6, 19, 10, 11602, 9, 3495, 2712, 8, 41, 5425, 86, 6543, 9, 19376, 73, 306, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50798, 51100, 51039, 50376, 51861, 70884, 50843, 53881, 51068, 51060, 50430, 51587, 73548, 68522, 50843, 53980, 75273, 60696, 50843, 53743, 51383, 53590, 50925, 57913, 53938, 51383, 58738, 50893, 50454, 51587, 50855, 51453, 72070, 50843, 50813, 51528, 51111, 50420, 51587, 53340, 50897, 73535, 53383, 51068, 50805, 50430, 51587, 50854, 51361, 50942, 50436, 50843, 73107, 50862, 51570, 52476, 50592, 60696, 50843, 50813, 52129, 71093, 50873, 57913, 52741, 51068, 50923, 50454, 51383, 50942, 51528, 51100, 51039, 50376, 51861, 70884, 50843, 53881, 51068, 51060, 50430, 51587, 73548, 68522, 50843, 53980, 75273, 60696, 50843, 53743, 51383, 53590, 50925, 57913, 53938, 51383, 58738, 50893, 50454, 51587, 50855, 51453, 72070, 50843, 50813, 51528, 51111, 50420, 51587, 53340, 50897, 73535, 53383, 51068, 50805, 50430, 51587, 50854, 51361, 50942, 50436, 50843, 73107, 50862, 51570, 52476, 50592, 60696, 50843, 50813, 52129, 71093, 50873, 57913, 52741, 51068, 50923, 50454, 51383, 50942, 55858, 54784, 50873, 66165, 50858, 53158, 50904, 53763, 51587, 51008, 66165, 67937, 50856, 55147, 53803, 50856, 58107, 50974, 50430, 51587, 50974, 71018, 70192, 50856, 54220, 50933, 50436, 50856, 57526, 55666, 62807, 50374, 52638, 50959, 66417, 62505, 50843, 54434, 50856, 54897, 50925, 51383, 50955, 66417, 75637, 50856, 51916, 54385, 51383, 54336, 51008, 51068, 72623, 51587, 50955, 50655, 50281, 72333, 50856, 50886, 54928, 50460, 50856, 55630, 50857, 55858, 53970, 51100, 50655, 50279, 51054, 53158, 50886, 52653, 51587, 50959, 50424, 50856, 55147, 53935, 50856, 58107, 50879, 50655, 50281, 51454, 50430, 51587, 53193, 50856, 50864, 53763, 50436, 50856, 55147, 50374, 52073, 53891, 50856, 69527, 50857, 51892, 66417, 51054, 63262, 50374, 52272, 54305, 51383, 58016, 51920, 54897, 50937, 50448, 50856, 51833, 53996, 51383, 53390, 66437, 50879, 71018, 51237, 50454, 51383, 54319, 50856, 51916, 50374, 52638, 63357, 50856, 55147, 58949, 50836, 55858, 53835, 51100, 66165, 50882, 53158, 51750, 50376, 51861, 50833, 66165, 51045, 50424, 50856, 55630, 53881, 50856, 58107, 51060, 50430, 51587, 50812, 71018, 51483, 50432, 50856, 55181, 68522, 50856, 54640, 53980, 67457, 67020, 50810, 66417, 50821, 63262, 53743, 50856, 74635, 53590, 50925, 66417, 51014, 50448, 50856, 51833, 53938, 50856, 58949, 58738, 50893, 50454, 51587, 50855, 50655, 50281, 51653, 50456, 50856, 54220, 72070, 50856, 55147, 50813, 55858, 55234, 51111, 50655, 50279, 51054, 53158, 74702, 53340, 50897, 50424, 50856, 55147, 53383, 50856, 58412, 50805, 50655, 50281, 51054, 50430, 51587, 53911, 50856, 55316, 50942, 50436, 50856, 55630, 73107, 53894, 50856, 50886, 51782, 52638, 50810, 66417, 50896, 63262, 53524, 50856, 55234, 71093, 50873, 50448, 50856, 51539, 52741, 50856, 74409, 50923, 71018, 51603, 50454, 51383, 58774, 50856, 67205, 74870, 55858, 54784, 50873, 66165, 50858, 67790, 52734, 50856, 50904, 53763, 51587, 51008, 66165, 50858, 56357, 70884, 50856, 55147, 50867, 67790, 53272, 50856, 58107, 50974, 55678, 75411, 51587, 50974, 71018, 51175, 56357, 54216, 50856, 54220, 50933, 67790, 63136, 50856, 57526, 51000, 56357, 53415, 62807, 50374, 52638, 50959, 66417, 62505, 50843, 50867, 62362, 50925, 56752, 54897, 50925, 51383, 50955, 66417, 75637, 50856, 51916, 54385, 51383, 54336, 51008, 51068, 50795, 67790, 61192, 51587, 50955, 50655, 50281, 72333, 50856, 50886, 54928, 50460, 50856, 55630, 50857, 55858, 53970, 51100, 50655, 50279, 51054, 67790, 71145, 51542, 53158, 50886, 52653, 51587, 50959, 56357, 70884, 50856, 55147, 50886, 67790, 53935, 50856, 58107, 50879, 50655, 50281, 51454, 55678, 65197, 51587, 50822, 56357, 53627, 50856, 50864, 53763, 67790, 50874, 52350, 62439, 50856, 55147, 50374, 52073, 50857, 56357, 50937, 56797, 69527, 50857, 51892, 66417, 51054, 53408, 50857, 63262, 50374, 52272, 50857, 62362, 54207, 51383, 58016, 51920, 54897, 50937, 53408, 64457, 50856, 51833, 53996, 51383, 53390, 66437, 50879, 71018, 51237, 53408, 66145, 51383, 50862, 52350, 53920, 50856, 51916, 50374, 52638, 50812, 52868, 61630, 50856, 55147, 58949, 50836, 55858, 53835, 51100, 66165, 50882, 67790, 50822, 53158, 51750, 50376, 51861, 50833, 66165, 51045, 56357, 70884, 50856, 55630, 50874, 67790, 53935, 50856, 58107, 51060, 55678, 65197, 51587, 50812, 71018, 51483, 56357, 53627, 50856, 55181, 50844, 67790, 68825, 50856, 54640, 50886, 56357, 53415, 67457, 67020, 50810, 66417, 50821, 63262, 50822, 62362, 50925, 56752, 74635, 53590, 50925, 66417, 51014, 50448, 50856, 51833, 53938, 50856, 58949, 58738, 50893, 67790, 69500, 51587, 50855, 50655, 50281, 51653, 50456, 50856, 54220, 72070, 50856, 55147, 50813, 55858, 55234, 51111, 50655, 50279, 51054, 67790, 50822, 53158, 74702, 53340, 50897, 56357, 70884, 50856, 55147, 50857, 67790, 53935, 50856, 58412, 50805, 50655, 50281, 51054, 55678, 75411, 51587, 50854, 56357, 53513, 50856, 55316, 50942, 67790, 68825, 50856, 55630, 73107, 50862, 56357, 50925, 56797, 50886, 51782, 52638, 50810, 66417, 50896, 63262, 50813, 62362, 54207, 50856, 55234, 71093, 50873, 50448, 50856, 51539, 52741, 50856, 74409, 50923, 71018, 51603, 50454, 51383, 58774, 50856, 67205, 74870, 55858, 54784, 50873, 53158, 50904, 53763, 51587, 51008, 78635, 50835, 50686, 50330, 62782, 50856, 55147, 53803, 50856, 58107, 50974, 50430, 51587, 55544, 50856, 54220, 50933, 78635, 50835, 50686, 50330, 62586, 50856, 57526, 55666, 62807, 50374, 52638, 50959, 63262, 54434, 50856, 54897, 50925, 51383, 50955, 78635, 50835, 50686, 50330, 61762, 50856, 51916, 54385, 51383, 54336, 51008, 51068, 72623, 51587, 59631, 50856, 50886, 54928, 78635, 50835, 50686, 50330, 61780, 50856, 55630, 50857, 55858, 53970, 51100, 53158, 50886, 52653, 51587, 50959, 78635, 50835, 50686, 50330, 61159, 50856, 55147, 53935, 50856, 58107, 50879, 50430, 51587, 53193, 50856, 50864, 53763, 78635, 50835, 50686, 50330, 62586, 50856, 55147, 50374, 52073, 53891, 50856, 69527, 50857, 51892, 63262, 50374, 52272, 54305, 51383, 58016, 51920, 54897, 50937, 78635, 50835, 50686, 50330, 61762, 50856, 51833, 53996, 51383, 53390, 66437, 50879, 50454, 51383, 54319, 50856, 51916, 50374, 52638, 50812, 78635, 50825, 50686, 50330, 60880, 50856, 55147, 58949, 50836, 55858, 53835, 51100, 53158, 51750, 50376, 51861, 50833, 78635, 50825, 50686, 50330, 61159, 50856, 55630, 53881, 50856, 58107, 51060, 50430, 51587, 52749, 50856, 55181, 50844, 78635, 50835, 50686, 50330, 62586, 50856, 54640, 53980, 67457, 67020, 60696, 50843, 53743, 50856, 74635, 53590, 50925, 78635, 50835, 50686, 50330, 61762, 50856, 51833, 53938, 50856, 58949, 58738, 50893, 50454, 51587, 54583, 50856, 54220, 50833, 78635, 50835, 50686, 50330, 60880, 50856, 55147, 50813, 55858, 55234, 51111, 53158, 74702, 53340, 50897, 78635, 50835, 50686, 50330, 61159, 50856, 55147, 53383, 50856, 58412, 50805, 50430, 51587, 53911, 50856, 55316, 50942, 78635, 50835, 50686, 50330, 62439, 50856, 55630, 73107, 53894, 50856, 50886, 51782, 52638, 60696, 50843, 53524, 50856, 55234, 71093, 50873, 78635, 50835, 50686, 50330, 61762, 50856, 51539, 52741, 50856, 74409, 50923, 50454, 51383, 58774, 50856, 50886, 78635, 50835, 50686, 50330, 60880, 74870, 51528, 50873, 66165, 59078, 51008, 51587, 51008, 66165, 62779, 50843, 53803, 51068, 50974, 54369, 51033, 50430, 51587 ]

[ 0, 713, 14899, 5175, 2214, 11, 274, 538, 22750, 1626, 11098, 8, 10563, 6, 1969, 13, 2365, 50, 6548, 38270, 4, 20, 3741, 27374, 594, 8, 2382, 3459, 8669, 483, 5, 33301, 6, 2800, 30, 21072, 6, 20535, 6, 8, 31391, 1672, 9590, 4, 590, 41, 12447, 1001, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 20902, 2877, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 53014, 51237, 57605, 75190, 54607, 51237, 60602, 74388, 53014, 51237, 57605, 75044, 54607, 51653, 60602, 51653, 50799, 53014, 51870, 54607, 52512, 73346, 51870, 50438, 53014, 52512, 54607, 52512, 73346, 52512, 54983, 50918, 52779, 50995, 53328, 50995, 54548, 50995, 53392, 59939, 54607, 59939, 60602, 59939, 51190, 50966, 54589, 50976, 51206, 50824, 68072, 51190, 50966, 57710, 60664, 54589, 60648, 52779, 50905, 53328, 50905, 54548, 50905, 51892, 51272, 50302, 50830, 51190, 50966, 54589, 60815, 52584, 51060, 57491, 52993, 50807, 51190, 50966, 57710, 60664, 54589, 50976, 51453, 50822, 54983, 50918, 52779, 50995, 53328, 50995, 54548, 50995, 51190, 50966, 54589, 50976, 68072, 51190, 50966, 57710, 60664, 54589, 60648, 52779, 50905, 53328, 50905, 54548, 50905, 51892, 51272, 50302, 50830, 51190, 50966, 54589, 60815, 52584, 51060, 57491, 52993, 50807, 51190, 50966, 54589, 57710, 54565, 50824, 51453, 50822, 54983, 50918, 53276, 50995, 53074, 50995, 54548, 50995, 51190, 50966, 54589, 50976, 68072, 51190, 50966, 54589, 57710, 54565, 53566, 53276, 50905, 53074, 50905, 54548, 50905, 51892, 51272, 50302, 50830, 51190, 50966, 54589, 60815, 52584, 51060, 57491, 52993, 50807, 51190, 50966, 57710, 60664, 54589, 50976, 51453, 50822, 54983, 50918, 53276, 50995, 53074, 50995, 54548, 50995, 51190, 50966, 54589, 63853, 51061, 51370, 52921, 51341, 50795, 51190, 50966, 52865, 60664, 54589, 60648, 53276, 50905, 53074, 50905, 54548, 78011, 50795, 51190, 50966, 50823, 51272, 50302, 50830, 51193, 52152, 53835, 50976, 51224, 66587, 60815, 52584, 51060, 51061, 50795, 51320, 53832, 60664, 58317, 52993, 50807, 51341, 51626, 56339, 53820, 51083, 56971, 51858, 53835, 50823, 54983, 50918, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 54589, 50976, 51206, 50824, 51039, 54504, 53392, 51331, 58491, 51805, 57710, 54565, 53566, 52779, 50849, 53328, 50849, 54548, 50849, 56273, 51331, 58491, 50823, 51272, 50302, 50830, 54239, 51331, 58491, 54589, 60815, 52584, 51060, 56273, 51331, 54626, 52993, 50807, 53392, 51331, 58491, 54589, 57710, 54565, 54098, 54607, 52442, 53673, 54983, 50918, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 54589, 50976, 51039, 50907, 51544, 58491, 51805, 57710, 54565, 53566, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 50823, 69031, 51060, 51895, 50966, 54589, 60815, 52584, 51060, 53673, 50450, 52993, 50807, 51895, 50966, 54589, 57710, 54565, 50824, 51453, 50907, 54983, 50918, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 54589, 50976, 51039, 54504, 53392, 51331, 58491, 51805, 57710, 54565, 53566, 52779, 50849, 53328, 50849, 54548, 50849, 56273, 51331, 58491, 50823, 51272, 50302, 50830, 54239, 50824, 51895, 50966, 54589, 60815, 52584, 51060, 53673, 50450, 52993, 50807, 54564, 50893, 53392, 50824, 51895, 50966, 54589, 57710, 54565, 54098, 54239, 50893, 53673, 54983, 50918, 53276, 50849, 53074, 50849, 54548, 50849, 56273, 51661, 53014, 51300, 51895, 50966, 54589, 50976, 51039, 50907, 51544, 58491, 51805, 57710, 54565, 53566, 53276, 50849, 53074, 50849, 54548, 50849, 51895, 50966, 50823, 51272, 50302, 50830, 56273, 51343, 53014, 51029, 51895, 50966, 54589, 60815, 52584, 51060, 53673, 50450, 52993, 50807, 51895, 50966, 54589, 57710, 51352, 50816, 51352, 50456, 54239, 50879, 53392, 50993, 53673, 54983, 50918, 52779, 50849, 53328, 50849, 54548, 50849, 54239, 50859, 51895, 50966, 54589, 50976, 51039, 54504, 53392, 51331, 58491, 51805, 57710, 54565, 53566, 52779, 50849, 53328, 50849, 54548, 50849, 56273, 51331, 58491, 50823, 51272, 50302, 50830, 54239, 51331, 58491, 54589, 60815, 52584, 51060, 56273, 51331, 54626, 52993, 50807, 53392, 51331, 58491, 54589, 57710, 54565, 54098, 54607, 52442, 53673, 54983, 50918, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 54589, 50976, 51039, 50907, 51544, 58491, 51805, 57710, 54565, 53566, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 50823, 51272, 50302, 50830, 51895, 50966, 54589, 60815, 52584, 51060, 53673, 50450, 52993, 50807, 51895, 50966, 54589, 57710, 54565, 50824, 51453, 50907, 68496, 51091, 51561, 51585, 51639, 51226, 51516, 51226, 51948, 51226, 51895, 50966, 54589, 50976, 51039, 54504, 53014, 51331, 58491, 51805, 57710, 54565, 53566, 52585, 50830, 51639, 50821, 51516, 50821, 51948, 50821, 53392, 51331, 58491, 50823, 63370, 50807, 51639, 51160, 51516, 50896, 51948, 51285, 56273, 51331, 58491, 54589, 60815, 53392, 51331, 54626, 51684, 51112, 51198, 50896, 51275, 51160, 51516, 51160, 53014, 51331, 58491, 54589, 57710, 54565, 54098, 53789, 51029, 53673, 54920, 51091, 51280, 51196, 51153, 51285, 51639, 51285, 51516, 51285, 51895, 50966, 54589, 50976, 51039, 54504, 54607, 51331, 58491, 51805, 57710, 54565, 53566, 78049, 53138, 51331, 58491, 50823, 65270, 50967, 51144, 51285, 51435, 51160, 51578, 51160, 51837, 51160, 53014, 50993, 51895, 50966, 51805, 60815, 53138, 51331, 54626, 52584, 52397, 51578, 51160, 51837, 51160, 53328, 51274, 53014, 50993, 51895, 50966, 54589, 57710, 51352, 50816, 51352, 50456, 53138, 51331, 50907, 54983, 50807, 52779, 50849, 53328, 50849, 54548, 50849, 54607, 51331, 58491, 54589, 63853, 54607, 51052, 54504, 54607, 51331, 58491, 51805, 57710, 54565, 53566, 51526, 50830, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 50823, 69031, 51060, 54607, 51331, 58491, 51805, 60815, 52584, 51060, 53673, 50450, 52993, 50807, 51895, 50966, 51805, 57710, 54565, 50824, 51453, 50907, 54983, 50807, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 51805, 51805, 51805, 51805, 62822, 51039, 50907, 51544, 58491, 51805, 57710, 54565, 53566, 51526, 51060, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 50823, 69031, 70828, 51370, 58491, 51805, 60815, 52584, 51060, 51061, 51370, 54626, 52993, 78319, 51370, 58491, 54589, 57710, 54565, 54098, 55298, 56970, 51358, 50852, 50976, 54983, 50918, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 54589, 50976, 51039, 54504, 53392, 51331, 58491, 51805, 57710, 54565, 53566, 52779, 50849, 53328, 50849, 54548, 50849, 56273, 51331, 58491, 50823, 51272, 50302, 50830, 54239, 51331, 58491, 54589, 60815, 52584, 51060, 56273, 51331, 54626, 52993, 50807, 53392, 51331, 58491, 54589, 57710, 54565, 54098, 54607, 52442, 53673, 54983, 50918, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 54589, 50976, 51039, 50907, 51544, 58491, 51805, 57710, 54565, 53566, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 50823, 69031, 51060, 51895, 50966, 51805, 60815, 52584, 51060, 53673, 50450, 52993, 50807, 51895, 50966, 54589, 57710, 51352, 50816, 51352, 51453, 50907, 54983, 50918, 52779, 50849, 53328, 50849, 54548, 50849, 51895, 50966, 54589, 50976, 51039, 54504, 53392, 51331, 58491, 51805, 57710, 54565, 53566, 52779, 50849, 53328, 50849, 54548, 50849, 56273, 51331, 58491, 50823, 51272, 50302, 50830, 54239, 50824, 51895, 50966, 54589, 60815, 52584, 51060, 53673, 50450, 52993, 50807, 54564, 50805, 53392, 50824, 51895, 50966, 54589, 57710, 54565, 54098, 54239, 52201, 50907, 54983, 50918, 53276, 50849, 53074, 50849, 54548, 50849, 56273, 51446, 53014, 51300, 51895, 50966, 54589, 50976, 51039, 50907, 51544, 58491, 51805, 57710, 54565, 53566, 53276, 50849, 53074, 50849, 54548, 50849, 51895, 50966, 50823 ]

[ 0, 250, 3152, 2214, 19, 10, 2933, 8, 9066, 5466, 6, 4246, 30587, 8, 81, 9756, 29589, 6, 10, 6755, 12547, 6, 21072, 6, 8, 3459, 9590, 4, 20, 33301, 16, 13363, 28191, 6, 8, 5, 1349, 16, 3820, 19, 1007, 8, 11926, 4, 85, 18, 11, 5, 762, 9, 230, 3694, 6, 34, 10, 231, 73, 398, 86, 6543, 6, 8, 3136, 23, 10, 1769, 20889, 9, 17072, 13410, 228, 2289, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51540, 50631, 51612, 52045, 55810, 52045, 51107, 52045, 51182, 52045, 51384, 52045, 51540, 52170, 52045, 59711, 52045, 51488, 52045, 51600, 52045, 51905, 52045, 51540, 51722, 52045, 53755, 52045, 51165, 52045, 51395, 52045, 51394, 52045, 51540, 51902, 52045, 54932, 52045, 51357, 52045, 51266, 52045, 51558, 52045, 51540, 51612, 52045, 55810, 52045, 51107, 52045, 51182, 52045, 51384, 52045, 51540, 52170, 52045, 59711, 52045, 51488, 52045, 51600, 52045, 51905, 52045, 51540, 51722, 52045, 53755, 52045, 51165, 52045, 51395, 52045, 51394, 52045, 51540, 51902, 52045, 54932, 52045, 51357, 52045, 51266, 52045, 51558, 52045, 51540, 53682, 51492, 51386, 51492, 51222, 51492, 51222, 51492, 51143, 51492, 51344, 51492, 52936, 51492, 51498, 51492, 51347, 51492, 51497, 51492, 61006, 51650, 57877, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 57118, 51650, 55000, 56737, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 61006, 67574, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 57118, 51650, 55000, 56737, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 52305, 51492, 51521, 51492, 51511, 51492, 51511, 51492, 51569, 51492, 51849, 51492, 51796, 51492, 52023, 51492, 51856, 51492, 52074, 51492, 61006, 51650, 57877, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 61684, 51650, 55000, 57751, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 61006, 52108, 57877, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 61684, 51650, 55000, 57751, 62735, 61006, 51650, 57247, 50873, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 51885, 52045, 51511, 52045, 51511, 52045, 51548, 52045, 51548, 52045, 51849, 52045, 51228, 52045, 52023, 52045, 51943, 52045, 52074, 52045, 61006, 51650, 57877, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 63687, 51650, 55000, 63743, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 51611, 52045, 51222, 52045, 51348, 52045, 51348, 52045, 51344, 52045, 51843, 52045, 51096, 52045, 51583, 52045, 51497, 52045, 51839, 52045, 61006, 52108, 57877, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 63687, 51650, 55000, 63743, 62735, 61006, 51650, 57877, 50795, 50465, 61878, 64095, 55076, 51650, 57247, 50873, 50477, 56770, 50795, 51540, 53682, 51492, 51386, 51492, 51222, 51492, 51222, 51492, 51143, 51492, 51344, 51492, 52936, 51492, 51498, 51492, 51347, 51492, 51497, 51492, 61006, 51650, 57877, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 56079, 51650, 55000, 57312, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 61006, 52108, 55728, 61878, 51631, 55076, 60858, 54253, 56770, 51646, 61006, 56971, 54789, 61878, 51798, 61532, 50795, 52060, 55000, 61891, 62735, 61006, 60101, 50795, 50465, 61878, 64095, 55076, 60020, 50795, 50477, 56770, 50795, 51540, 53682, 51492, 51386, 51492, 51222, 51492, 51222, 51492, 51143, 51492, 51344, 51492, 52936, 51492, 51498, 51492, 51347, 51492, 51497, 51492, 61006, 50795, 51743, 52045, 52255, 52045, 51711, 52045, 52036, 52045, 55450, 51206, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 57118, 51650, 55000, 56737, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 61006, 50795, 51743, 52045, 52255, 52045, 51711, 52045, 52036, 52045, 50816, 57247, 76882, 61878, 51631, 55076, 54253, 56770, 51646, 51299, 50918, 76180, 61006, 52152, 54789, 61878, 51798, 57118, 51650, 55000, 56737, 62735, 51638, 50918, 51165, 50918, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 52305, 51492, 51521, 51492, 51511, 51492, 51511, 51492, 51569, 51492, 51849, 51492, 51796, 51492, 52316, 50807, 66316, 52023, 51492, 51856, 51492, 52074, 51492, 61006, 50795, 52255, 52045, 52340, 52045, 52137, 52045, 55450, 51206, 55728, 61878, 51631, 51699, 50807, 75840, 55076, 54253, 56770, 51646, 52316, 51036, 51375, 51036, 61006, 52152, 54789, 61878, 51798, 61684, 51650, 55000, 57751, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 61006, 50795, 52255, 52045, 52340, 52045, 52137, 52045, 50816, 57877, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 61684, 51650, 55000, 57751, 62735, 61006, 51650, 57247, 50873, 50465, 61878, 64095, 55076, 50795, 50477, 56770, 50795, 51540, 51885, 52045, 51511, 52045, 51511, 52045, 51548, 52045, 51548, 52045, 51849, 52045, 51228, 52045, 52023, 52045, 51943, 52045, 52074, 52045, 61006, 50795, 52255, 52045, 52414, 52045, 52036, 52045, 55450, 51206, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 63687, 51650, 55000, 63743, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 51699, 50807, 75840, 55076, 50795, 50477, 56770, 50795, 51540, 51611, 52045, 51222, 52045, 51348, 52045, 51348, 52045, 51344, 52045, 51843, 52045, 51096, 52045, 51299, 51036, 77215, 51583, 52045, 51497, 52045, 51839, 52045, 61006, 50795, 51863, 52045, 52414, 52045, 52036, 52045, 50816, 57877, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 63687, 51650, 55000, 63743, 62735, 51638, 50918, 51165, 50918, 61006, 60858, 50795, 50465, 61878, 64095, 55076, 56971, 50795, 50477, 56770, 50795, 51540, 53682, 51492, 51386, 51492, 51222, 51492, 51222, 51492, 51143, 51492, 51344, 51492, 52936, 51492, 51887, 52045, 51154, 52045, 51498, 51492, 51347, 51492, 51497, 51492, 61006, 50795, 51743, 52045, 52255, 52045, 51711, 52045, 52036, 52045, 55450, 51206, 55728, 61878, 51631, 55076, 54253, 56770, 51646, 61006, 52152, 54789, 61878, 51798, 56079, 51650, 55000, 57312, 62735, 61006, 51650, 56408, 50465, 61878, 64095, 55076, 51650, 50795, 50477, 56770, 50795, 51540, 61006, 50795, 51743, 52045, 52255, 52045, 51711, 52045, 52036, 52045, 50816, 55728, 61878, 51631, 55076, 60858, 54253, 56770, 51646, 61006, 56971, 54789, 61878, 51798, 61532, 50795, 52060, 55000, 61891, 62735, 61006, 60101, 50795, 50465, 61878, 64095, 55076, 60020, 50795, 50477, 56770, 50795, 51540, 53682, 51492, 51386, 51492, 51222, 51492, 51222, 51492, 51143, 51492, 51344, 51492, 52936, 51492, 51498, 51492, 51347, 51492, 51497, 51492, 51743, 52045, 52255, 52045, 51711, 52045, 52036, 52045, 55450, 51206, 51646, 50852, 51798, 55450, 50462, 50801, 56408, 51540, 51743, 52045, 52255, 52045, 51711, 52045, 52036, 52045, 50816, 57247, 54233, 51299, 50918, 51093, 66800, 51798, 55450, 50462, 51638, 50918, 51165, 55755, 56408, 51540, 52305, 51492, 51521, 51492, 51511, 51492, 51511, 51492, 51569, 51492, 51849, 51492, 51796, 51492, 52316, 50807, 66316, 52023, 51492, 51856, 51492, 52074, 51492, 52255, 52045, 52340, 52045, 52137, 52045, 55450, 51206, 51631, 51699, 50807, 51088, 52424, 52316, 51036, 51375, 51036, 50852, 51798, 55450, 50462, 50801, 56408, 51540, 52255, 52045, 52340, 52045, 52137, 52045, 50816, 57877 ]

[ 0, 250, 20902, 3495, 3152, 2214, 14, 22750, 1626, 11098, 8, 1007, 6, 4246, 10, 11739, 9, 13305, 6, 81, 9756, 8669, 6, 21072, 6, 21979, 8669, 6, 8, 26432, 636, 3938, 22052, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 12447, 1001, 20889, 1328, 4, 20, 33215, 16739, 9, 3676, 6, 230, 119, 1176, 406, 6, 8, 211, 35315, 5705, 6, 2351, 10, 33558, 8, 2365, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 57844, 75657, 51447, 51487, 68531, 51339, 51884, 50426, 51430, 53052, 51146, 51174, 62204, 51447, 50968, 51080, 51430, 55103, 51062, 54771, 51487, 50914, 57844, 51447, 50902, 51447, 50420, 51339, 56307, 51430, 66013, 51146, 56480, 50876, 51627, 50968, 51749, 51430, 55200, 51062, 54509, 50951, 50987, 54594, 50907, 50861, 51797, 50973, 52598, 50902, 53096, 51220, 51253, 55902, 54848, 54439, 53161, 50968, 51337, 51062, 54342, 50861, 51123, 57267, 66813, 53161, 50973, 51878, 50902, 51852, 51220, 56350, 50861, 53096, 56222, 53161, 78966, 51062, 65628, 50861, 53529, 50318, 51753, 51220, 51337, 54594, 51123, 50861, 51852, 50973, 52519, 55902, 53096, 50902, 52104, 50327, 51079, 54439, 52858, 50320, 51277, 51062, 55544, 50861, 55108, 64444, 50861, 51852, 50973, 51965, 50902, 74984, 51645, 58365, 51797, 77966, 52675, 50386, 53823, 53886, 50861, 71509, 77406, 50892, 77966, 51421, 78833, 52955, 50861, 56104, 50800, 56310, 51749, 50877, 51627, 50876, 51965, 50968, 51318, 50927, 50914, 52029, 52526, 52096, 50832, 53299, 50832, 50971, 51302, 61397, 57897, 53810, 50927, 55240, 53945, 51026, 63821, 70713, 67889, 51097, 50964, 51159, 55829, 54305, 50832, 53996, 51315, 78721, 60727, 56230, 54054, 52643, 51026, 52063, 50861, 64900, 51447, 50968, 51145, 50964, 55048, 50886, 56310, 67089, 51376, 50927, 50981, 55474, 53299, 51026, 67707, 61176, 53935, 51315, 51524, 65471, 50804, 61676, 54054, 54937, 51026, 71562, 51330, 50927, 53657, 54077, 50973, 51637, 50902, 51477, 50964, 50914, 58775, 53524, 51315, 53535, 50308, 67484, 54105, 51026, 76831, 57791, 56230, 54054, 53211, 51315, 53535, 50308, 51254, 50964, 54101, 50886, 54795, 51277, 51026, 58962, 50861, 52140, 50953, 50943, 59208, 53299, 50832, 53935, 51214, 51328, 50877, 53131, 50316, 50874, 50968, 62788, 61397, 54054, 54216, 50953, 55240, 53980, 51214, 51277, 50877, 53130, 50316, 66386, 51008, 50953, 51391, 55786, 53524, 50861, 52168, 50973, 51524, 50902, 79531, 53996, 51214, 51753, 50804, 56230, 53288, 54194, 50861, 52335, 50973, 51419, 50902, 51679, 50953, 54101, 50886, 54795, 51753, 50953, 50915, 54659, 55105, 50832, 53803, 51214, 51753, 50877, 53130, 50316, 50844, 50968, 53887, 61676, 53288, 53705, 50953, 55240, 54077, 51214, 51753, 50877, 53130, 50316, 63988, 50987, 70747, 56556, 54758, 50861, 52454, 50315, 52048, 50902, 51484, 50964, 70496, 54385, 51214, 51277, 51315, 53131, 50308, 50845, 50927, 56751, 61397, 53288, 52863, 51026, 52063, 50861, 50972, 50964, 66063, 50867, 56310, 51244, 50877, 66743, 51637, 50968, 51477, 50927, 50915, 56556, 53932, 50832, 50864, 51302, 56230, 53291, 53193, 50927, 53739, 52788, 51026, 71562, 68994, 67889, 51097, 50964, 50914, 56556, 53086, 50832, 53996, 51315, 50933, 50916, 56993, 60174, 53288, 54232, 51026, 64675, 63257, 51148, 50968, 51047, 50964, 53739, 50886, 56310, 67089, 51079, 50927, 50981, 56443, 55105, 51026, 64675, 61176, 53272, 51315, 53131, 50308, 62314, 60174, 53288, 53860, 51026, 51961, 50861, 51330, 50927, 55083, 53945, 50973, 51878, 50902, 51535, 50964, 50915, 54659, 54434, 51315, 51210, 50916, 67484, 54385, 51026, 71395, 60727, 56230, 53291, 54481, 51315, 51142, 50916, 51254, 50964, 53739, 50867, 54795, 51172, 51026, 58962, 50861, 52431, 50953, 50943, 54865, 54657, 50832, 53803, 51214, 51481, 64645, 59855, 50968, 53119, 61676, 53716, 53860, 50953, 53742, 54077, 51214, 60242, 67220, 65064, 50866, 50953, 50915, 58775, 53783, 50861, 51080, 50973, 53130, 50318, 64602, 54185, 51214, 51481, 50804, 60174, 53791, 52863, 50861, 52151, 50973, 51134, 50902, 51419, 50953, 55240, 50867, 54795, 51884, 50953, 51134, 59208, 54657, 50832, 53803, 51214, 60242, 67220, 77082, 57978, 60174, 53791, 52658, 50953, 55240, 53891, 51214, 56943, 58363, 77082, 50987, 78021, 56443, 54305, 50861, 51391, 50973, 51534, 50902, 51642, 50964, 59510, 54185, 51214, 51853, 50296, 73665, 51058, 50927, 56751, 60174, 53791, 54199, 51026, 53130, 50311, 51058, 50964, 70496, 50808, 56310, 51749, 50877, 51627, 50876, 51965, 50968, 51318, 50927, 50914, 59208, 53299, 50832, 50971, 51302, 61397, 57897, 53810, 50927, 55240, 53945, 51026, 63821, 70713, 67889, 51097, 50964, 51159, 55829, 54305, 50832, 53996, 51315, 78721, 60727, 56230, 54054, 52643, 51026, 52063, 50861, 64900, 51447, 50968, 51145, 50964, 55048, 50886, 56310, 67089, 51376, 50927, 50981, 55474, 53299, 51026, 67707, 61176, 53935, 51315, 51524, 65471, 50804, 61676, 54054, 54937, 51026, 71562, 51330, 50927, 53657, 54077, 50973, 51637, 50902, 51477, 50964, 50914, 58775, 53524, 51315, 53535, 50308, 67484, 54105, 51026, 76831, 57791, 56230, 54054, 53211, 51315, 53535, 50308, 51254, 50964, 54101, 50886, 54795, 51277, 51026, 58962, 50861, 52140, 50953, 50943, 59208, 53299, 50832, 53935, 51214, 51328, 50877, 53131, 50316, 50874, 50968, 62788, 61397, 54054, 54216, 50953, 55240, 53980, 51214, 51277, 50877, 53130, 50316, 66386, 51008, 50953, 51391, 55786, 53524, 50861, 52168, 50973, 51524, 50902, 79531, 53996, 51214, 51753, 50804, 56230, 53288, 54194, 50861, 52335, 50973, 51419, 50902, 51679, 50953, 54101, 50886, 54795, 51753, 50953, 50915, 54659, 55105, 50832, 53803, 51214, 51753, 50877, 53130, 50316, 50844, 50968, 53887, 61676, 53288, 53705, 50953, 55240, 54077, 51214, 51753, 50877, 53130, 50316, 63988, 50987, 70747, 56556, 54758, 50861, 52454, 50315, 52048, 50902, 51484, 50964, 70496, 54385, 51214, 51277, 51315, 53131, 50308, 50845, 50927, 56751, 61397, 53288, 52863, 51026, 52063, 50861, 50972, 50964, 66063, 50867, 56310, 51244, 50877, 66743, 51637, 50968, 51477, 50927, 50915, 56556, 53932, 50832, 50864, 51302, 56230, 53291, 53193, 50927, 53739, 52788, 51026, 71562, 68994, 67889, 51097, 50964, 50914, 56556, 53086, 50832, 53996, 51315, 50933, 50916, 56993, 60174, 53288, 54232, 51026, 64675, 63257, 51148, 50968, 51047, 50964, 53739, 50886, 56310, 67089, 51079, 50927, 50981, 56443, 55105, 51026, 64675, 61176, 53272, 51315, 53131, 50308, 62314, 60174, 53288, 53860, 51026, 51961, 50861, 51330, 50927, 55083, 53945, 50973, 51878, 50902, 51535, 50964, 50915, 54659, 54434, 51315, 51210, 50916, 67484, 54385, 51026, 71395, 60727, 56230, 53291, 54481, 51315, 51142, 50916, 51254, 50964, 53739, 50867, 54795, 51363, 50953, 50943, 54865, 54657, 50832, 53803, 51214, 51423, 51027, 52858, 50316, 58903, 56751, 61676, 53716, 53860, 50953, 53742, 54077, 51214, 51277, 51027, 53131, 50316, 63988, 50987, 50953, 50915, 58775, 53783, 51026, 52511, 50315, 51277, 50902, 79531, 54185, 51214, 74045, 60174, 53791, 52863, 51026, 52256, 50973, 51381, 50902, 51381, 50953, 55240, 50867, 54795, 51309, 50953, 51003, 59208, 54657, 50832, 53803, 51214, 51277, 51027, 51242, 50876, 77082, 56751, 60174, 53791, 52658, 50953, 54101, 53891, 51214, 51753, 51027, 67220, 77082, 50987, 50953, 51221, 56443, 54305, 51026, 52454, 50315, 51477, 50902, 51484, 50832, 54185, 51214, 50838, 50953, 54806, 60174, 53791, 57168, 51019, 52643, 50927, 66247, 50808, 61628, 51127, 51085, 51562, 54195, 50810, 66004, 51767, 51009, 52356, 51103, 50832, 54878, 51093, 51237, 51266, 76801, 53935, 54195, 53352, 59145, 54216, 54116, 50855, 69019, 51113, 50950, 51093, 53616, 53891, 51799, 50918, 51120, 51047, 54195, 50840, 67361, 51409, 51870, 50832, 50381, 53692, 52919, 50444, 51093, 51054, 51266, 76801, 54185 ]

[ 0, 250, 765, 8, 1372, 3495, 37903, 11, 12608, 3694, 6, 4246, 10, 881, 21263, 9, 5, 33215, 16739, 163, 43531, 6, 2060, 401, 6, 274, 10431, 119, 1176, 406, 6, 2060, 6, 8, 274, 6, 7630, 14805, 41, 20425, 8, 15352, 30054, 16464, 19, 10, 11602, 9, 3722, 5581, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 51197, 51036, 50931, 51620, 51114, 52262, 51001, 52831, 51001, 51757, 51001, 51754, 62942, 57497, 51036, 50931, 51620, 51114, 52262, 51001, 52831, 51001, 51757, 51001, 51754, 62942, 58066, 51036, 50931, 51620, 51114, 52262, 51001, 52831, 51001, 51757, 51001, 51754, 62942, 57497, 50918, 51147, 51620, 51114, 52262, 50931, 51724, 51234, 66584, 50931, 51757, 50931, 51754, 51001, 50800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 32625, 15855, 2125, 19, 3495, 16882, 6, 4246, 41, 21979, 8669, 6, 2342, 4467, 6, 18558, 6, 8, 38668, 2236, 4, 20, 7212, 20889, 8, 204, 73, 306, 86, 6543, 1045, 10, 19448, 5466, 6, 150, 5, 762, 9, 83, 538, 8, 5, 33215, 16739, 9, 83, 6, 274, 10431, 119, 406, 6, 8, 211, 5042, 7, 5, 2214, 18, 5679, 26709, 8, 11653, 6711, 6, 7630, 14805, 6453, 9, 657, 8, 442, 24, 10686, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 75695, 50946, 51014, 51171, 51014, 50430, 50848, 51030, 50431, 50868, 51045, 61909, 50433, 50946, 50811, 51171, 51010, 50436, 51171, 53601, 50946, 53501, 50848, 54430, 50868, 51732, 50850, 51732, 50796, 50796, 50454, 50946, 51014, 51171, 63695, 50848, 79396, 51045, 61909, 50458, 50946, 50811, 51171, 74380, 51171, 53601, 50946, 53501, 50848, 54430, 50868, 51732, 50850, 51732, 50796, 50796, 50796, 50796, 58282, 52570, 67653, 51562, 57189, 51291, 50432, 50868, 51551, 50444, 50946, 79766, 50848, 51945, 50456, 50847, 51496, 52591, 50946, 52688, 50944, 57547, 50946, 72759, 50868, 51362, 50444, 50946, 79766, 78330, 69768, 52570, 50420, 51506, 51309, 62810, 73377, 50848, 55362, 50438, 50946, 51056, 50444, 50850, 72208, 50946, 51419, 50456, 50847, 52195, 52591, 50946, 51709, 50426, 50944, 69400, 50946, 61148, 50868, 51073, 50444, 50946, 57991, 73420, 50458, 50988, 51359, 50459, 51042, 51696, 50460, 79840, 50461, 75093, 74776, 51427, 58082, 57944, 50935, 68141, 50850, 62682, 50847, 51294, 50456, 51688, 56769, 52591, 51217, 52392, 62810, 51422, 50432, 50848, 51685, 66368, 51364, 58282, 53501, 67653, 51562, 57189, 51562, 50432, 50868, 51527, 50444, 50946, 51535, 50450, 50848, 51894, 50456, 50847, 51496, 52591, 50946, 51337, 50426, 50944, 51411, 50432, 50946, 76711, 50868, 65980, 50946, 79766, 50848, 51159, 58282, 52570, 67653, 51183, 57189, 51291, 50432, 50868, 51551, 50444, 50946, 51562, 50450, 50848, 51945, 50456, 50847, 51496, 52591, 50946, 69029, 50944, 57547, 50946, 72652, 50868, 51362, 50444, 50946, 79766, 78330, 69768, 52570, 50420, 51506, 51309, 62810, 51267, 50432, 50848, 55362, 50438, 50946, 51056, 50444, 50850, 72208, 50946, 51318, 50456, 50847, 52195, 52591, 50946, 51645, 50426, 50944, 55112, 50946, 76711, 50868, 51073, 50444, 50946, 79766, 50848, 51157, 57746, 51655, 50847, 51496, 50420, 51042, 51141, 57189, 51692, 50432, 50850, 51685, 50444, 51042, 51115, 50847, 51362, 50456, 51688, 56769, 52591, 51217, 51605, 62810, 51692, 50432, 50848, 52282, 66368, 51343, 58282, 53501, 67653, 51562, 57189, 51562, 50432, 50868, 51527, 50444, 50946, 51535, 50450, 50848, 51486, 50456, 50847, 51496, 52591, 50946, 77399, 50944, 51566, 50432, 50946, 64164, 50868, 51562, 50459, 51171, 54834, 50460, 50946, 56094, 57342, 56094, 50415, 50868, 56094, 50416, 50850, 56082, 50796, 50444, 51596, 50873, 52123, 50938, 52089, 50938, 51584, 58138, 51789, 50849, 52123, 50948, 51555, 50865, 51902, 58603, 52083, 51160, 52123, 51290, 51584, 51496, 51612, 51454, 52591, 52123, 50942, 51612, 50942, 50421, 52083, 53049, 52083, 50938, 52123, 50865, 51584, 50938, 51612, 54725, 52083, 51238, 52123, 51345, 51584, 51345, 51612, 51227, 50443, 52083, 54630, 52123, 50830, 51584, 50917, 51612, 50924, 50449, 52083, 53794, 52123, 50936, 51584, 50978, 51612, 57431, 51565, 51003, 52123, 51055, 51555, 50980, 51902, 51566, 51612, 51048, 53069, 52083, 51364, 50420, 52089, 51364, 51584, 51364, 51612, 51343, 50438, 51555, 50807, 51902, 50896, 50439, 51789, 75355, 51584, 50924, 50451, 51596, 60077, 52089, 51226, 51584, 51016, 51612, 51016, 50457, 52083, 50865, 58282, 52570, 67653, 51562, 57189, 51291, 50432, 50868, 51551, 50444, 50946, 51183, 50450, 50848, 51945, 50456, 50847, 51496, 52591, 50946, 51484, 50426, 50944, 57547, 50946, 79881, 50868, 51362, 50444, 50946, 51295, 51596, 50795, 52123, 50948, 51584, 63233, 78330, 51789, 50805, 52123, 50948, 51555, 50938, 51902, 55037, 52083, 51073, 52123, 50983, 52089, 51343, 51584, 51496, 51612, 51552, 69768, 52570, 50420, 51506, 51309, 52083, 53244, 50946, 51267, 52083, 50952, 50427, 51612, 50865, 51584, 50897, 50428, 52123, 50925, 52089, 52559, 50848, 55362, 52083, 51274, 50433, 52089, 51362, 51612, 51541, 52123, 51204, 51584, 66564, 50946, 51056, 50444, 50850, 72208, 50946, 51318, 51686, 50849, 52123, 50948, 52974, 51021, 52089, 50948, 51584, 51496, 50456, 50847, 52195, 50457, 51565, 51055, 52123, 51048, 52075, 51566, 52089, 51055, 52591, 79733, 52083, 51364, 50421, 52089, 51343, 51612, 51343, 52123, 51343, 51584, 51343, 50426, 50944, 51157, 50432, 50946, 59290, 50868, 51073, 50442, 52083, 51566, 50444, 50946, 51318, 52123, 51362, 52089, 51573, 51584, 51500, 51612, 64466, 59911, 50454, 51789, 54319, 51902, 71529, 51596, 50840, 51584, 50882, 69768, 52570, 52083, 51226, 50415, 54308, 51364, 51612, 51541, 52089, 51343, 51584, 51541, 50420, 51506, 51309, 62810, 51255, 50429, 51789, 58779, 51902, 53917, 50848, 55362, 50434, 51596, 50862, 51584, 53660, 52089, 50840, 54308, 53294, 50946, 51221, 51596, 51090, 51902, 51016, 50439, 54308, 51162, 52089, 51290, 50444, 50850, 72208, 78883, 50451, 52170, 50911, 54308, 50924, 52089, 50948, 50452, 51789, 56974, 50847, 52195, 50458, 52202, 51124, 51902, 51364, 54308, 51343, 52089, 51364, 52591, 50946, 75360, 50944, 51157, 50432, 50946, 68535, 50868, 51073, 50444, 50946, 72269, 59911, 74491, 52500, 50420, 50988, 51623, 52123, 50978, 51555, 51312, 51902, 50959, 51612, 74027, 51565, 50955, 57189, 51518, 52123, 50917, 51902, 50937, 51612, 78435, 51565, 54372, 50847, 51685, 52123, 50980, 51555, 51290, 51902, 50980, 51612, 51500, 50433, 51565, 73087, 50850, 51343, 51565, 50879, 52123, 50940, 51555, 50948, 51902, 50948, 51612, 57322, 52083, 50911, 52123, 50940, 51555, 50940, 51902, 50940, 51612, 57939, 50988, 51101, 52041, 51048, 51584, 51055, 52170, 51345, 50457, 51789, 51112, 62193, 52208, 50420, 51217, 51991, 52041, 51033, 51584, 51014, 52170, 51033, 50421, 51789, 52450, 50946, 70705, 50848, 63418, 50946, 63883, 51017, 51226, 51789, 50977, 53444, 50967, 52041, 51290, 51584, 55260, 51596, 50873, 51902, 62620, 51584, 51364, 51612, 51274, 50457, 52083, 51274, 58282, 51551, 67653, 51127, 57189, 51356, 51596, 50972, 54308, 50917, 52123, 50937, 52089, 50897, 51584, 51291, 50432, 50868, 51551, 54308, 51191, 52123, 51191, 52089, 51241, 51902, 51294, 50433, 51789, 60865, 51171, 64466, 50946, 50911, 52083, 50901, 54308, 50917, 52123, 51413, 52089, 50987, 51612, 51923, 51791, 50824, 54308, 51294, 52089, 51362, 51902, 51294, 50457, 51596, 51363, 64933, 51518, 58082, 51346, 50426, 50868, 65744, 50848, 51235, 50438, 50850, 51527, 66368, 51343, 50450, 50848, 63505, 51042, 50901, 74491, 52500, 50420, 50988, 51623, 51565, 50917, 51555, 51051, 51902, 51058, 51612, 50978, 57189, 51518, 51565, 50830, 51555, 50938, 51902, 50865, 51612, 56632, 50847, 51685, 51565, 51055, 51555, 51500, 51902, 51500, 51612, 51603, 50444, 50850, 51343, 51555, 50948, 51902, 51235, 51612, 51500, 50445, 51565, 55149, 52083, 50865, 51555, 59960, 50988, 51101, 51789, 51073, 52041, 51025, 51584, 51073, 52170, 51345, 62193, 52208, 50420, 51217, 51991, 51789, 50952, 52041, 50910, 51584, 50952, 52170, 57499, 50946, 51162, 51789, 50800, 52041, 50808, 51584, 50921, 52170, 57748, 50848, 51090, 50437, 52083, 54993, 50946, 51148, 52089, 50910, 51612, 62789, 51017, 51274, 51596, 50910, 52089, 50878, 51584, 50925, 51612, 55758, 51596, 50917, 52089, 50952, 51584, 51033, 51612, 58603, 51596, 51109, 52089, 50896, 51584, 51054, 51612, 51090, 58282, 53601, 67653, 51283, 57189, 51446, 50432, 50868, 52195, 50444, 50946, 51477, 50450, 50848, 52069, 50456, 50847, 51552, 52591, 50946, 64570, 50944, 53182, 50946, 72762, 50868, 62682, 50946, 51637, 52123, 50959, 52089, 50952 ]

[ 0, 250, 15352, 30054, 5175, 8, 25771, 2214, 19, 10, 19448, 8, 5679, 26709, 5466, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 21072, 6, 2236, 1021, 2678, 29, 6, 8, 38668, 11212, 4, 8504, 11, 5, 762, 9, 272, 10431, 3694, 19, 10, 231, 73, 398, 86, 6543, 6, 24, 3136, 23, 10, 1769, 20889, 9, 10572, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 2060, 119, 6, 230, 10431, 119, 6, 8, 12608, 4620, 5, 46336, 24456, 9, 42, 3366, 219, 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 ]

[ 51540, 50637, 50791, 50807, 51570, 60773, 50791, 50807, 51540, 50791, 62369, 50998, 55965, 51316, 51204, 50459, 51136, 50914, 50462, 51032, 51157, 50480, 70699, 50483, 51316, 51191, 51474, 50432, 51136, 51241, 50771, 50328, 60282, 51032, 51003, 50447, 51316, 51318, 50998, 51535, 50471, 50998, 51534, 51316, 51534, 50480, 50771, 50328, 51043, 50483, 51136, 51097, 51540, 51032, 50971, 51136, 51252, 51169, 51123, 51549, 51123, 51032, 51097, 51602, 51307, 53654, 51717, 54165, 76274, 57290, 50849, 52356, 50845, 51070, 78556, 51032, 50971, 51136, 51252, 51169, 51123, 51549, 57252, 51032, 50904, 51136, 51252, 51169, 51123, 51549, 50368, 51342, 68751, 51032, 50904, 51136, 51252, 51169, 51123, 51549, 58604, 50986, 51801, 51169, 51801, 50843, 50849, 51070, 54323, 51136, 52011, 51169, 52011, 51032, 51330, 51549, 52011, 51070, 51079, 50451, 51136, 52011, 51169, 52011, 51032, 51330, 51549, 52011, 50462, 51136, 51252, 67671, 51549, 50907, 51169, 51365, 51533, 64250, 57290, 50849, 51070, 51697, 50463, 51136, 51252, 67671, 51549, 50907, 51169, 51365, 50474, 51070, 51074, 51540, 51032, 50904, 51136, 51022, 51169, 50907, 51549, 50851, 54457, 53454, 50798, 57290, 71920, 50873, 51070, 78556, 51032, 50904, 51136, 51022, 51169, 50907, 51549, 53220, 51032, 50971, 51136, 51269, 51169, 51210, 51549, 72431, 68751, 51032, 50971, 51136, 51269, 51169, 51210, 51549, 59983, 51068, 55185, 50849, 51070, 66893, 51136, 52397, 51169, 51333, 51032, 51333, 51549, 50932, 51070, 51074, 50451, 51136, 52397, 51169, 51333, 51032, 51333, 51549, 50932, 50462, 51032, 50971, 51136, 51550, 51169, 51123, 51549, 56661, 50849, 51070, 51166, 50463, 51032, 50971, 51136, 51550, 51169, 51123, 51549, 50851, 50474, 51070, 51432, 51540, 51032, 50971, 51136, 51269, 51169, 51123, 51549, 50827, 51602, 52644, 50798, 57290, 71920, 50873, 51070, 78556, 51032, 50971, 51136, 51269, 51169, 51123, 51549, 52580, 51032, 50971, 51136, 51269, 76992, 51549, 59875, 68751, 51032, 50971, 51136, 51269, 76992, 51549, 57455, 51136, 59306, 51078, 51016, 50843, 50849, 51070, 59914, 51136, 52397, 51169, 52025, 51032, 51108, 51549, 51330, 69744, 50451, 51136, 52397, 51169, 52025, 51032, 51108, 51549, 51330, 50459, 50960, 51346, 50462, 51032, 50971, 51136, 51269, 76992, 51549, 51051, 50970, 60775, 50849, 51070, 51166, 50463, 51032, 50971, 51136, 51269, 76992, 51549, 51051, 50474, 51070, 50905, 50483, 51136, 51204, 51540, 51169, 51297, 51136, 51252, 51032, 51123, 51549, 50907, 51078, 51204, 54457, 51790, 50798, 57290, 57594, 50873, 51070, 78556, 51169, 51297, 51136, 51252, 51032, 51123, 51549, 54504, 51032, 50904, 51136, 51252, 51169, 50907, 51549, 63172, 51737, 50427, 51032, 50904, 51136, 51252, 51169, 50907, 51549, 50874, 50428, 50771, 50330, 51212, 50435, 67395, 51136, 52788, 51068, 57121, 50849, 51070, 67427, 51136, 52618, 50998, 51013, 51169, 51333, 51032, 51333, 51549, 50932, 51169, 51013, 54457, 64250, 68383, 50873, 51070, 51074, 50451, 51136, 52618, 51169, 51333, 51032, 51333, 51549, 50932, 50462, 51032, 50971, 51136, 51022, 51169, 51142, 51549, 67600, 50849, 51070, 51079, 50771, 50328, 51233, 50463, 51032, 50971, 51136, 51022, 51169, 51142, 51549, 51008, 50474, 51136, 50897, 51078, 50917, 51070, 51387, 51540, 51317, 51269, 50998, 51123, 51169, 51123, 51316, 51123, 50998, 51717, 51317, 51717, 51957, 51714, 53278, 51717, 54165, 76274, 57290, 71920, 50873, 51070, 78556, 51317, 51269, 50998, 51123, 51169, 51123, 51316, 51123, 50419, 62424, 67732, 51317, 51269, 76981, 51169, 50907, 51316, 50368, 51342, 53024, 50427, 51317, 51269, 76981, 51169, 50907, 51316, 51123, 57315, 50849, 51070, 67427, 51317, 52618, 51078, 52011, 51169, 51466, 51316, 51333, 51070, 51074, 50451, 51317, 52618, 51078, 52011, 51169, 51466, 51316, 51333, 50462, 51169, 50971, 51317, 51022, 50998, 50907, 51316, 50984, 51602, 51477, 50843, 50849, 51070, 51074, 50463, 51169, 50971, 51317, 51022, 50998, 50907, 51316, 50984, 50474, 51070, 51079, 51540, 51169, 50971, 51316, 50971, 51317, 51269, 50998, 50907, 51957, 53651, 50798, 57290, 71920, 50873, 51070, 78556, 51169, 50971, 51316, 50971, 51317, 51269, 50998, 54504, 51169, 50904, 51317, 51269, 76981, 51316, 59393, 50972, 50427, 51169, 50904, 51317, 51269, 76981, 51316, 54584, 51068, 59689, 50849, 51070, 55437, 51317, 52618, 50998, 51108, 51169, 51108, 51316, 51108, 51070, 51074, 50451, 51317, 52618, 50998, 51108, 51169, 51108, 51316, 73003, 51317, 51022, 74103, 51169, 50851, 51316, 54784, 57290, 50849, 51070, 50905, 50463, 51317, 51022, 74103, 51169, 50851, 67704, 50474, 51070, 50905, 51540, 51316, 50904, 51317, 51022, 74103, 51169, 50851, 51957, 53380, 50798, 57290, 57594, 50873, 51070, 50974, 50415, 51316, 50904, 51317, 51022, 74103, 51169, 53220, 51317, 51269, 74103, 51169, 50851, 51316, 59031, 68751, 51317, 51269, 66485, 51169, 50827, 51316, 53720, 50998, 56656, 51316, 51351, 50843, 50849, 51070, 56989, 51317, 53838, 50998, 50932, 51169, 50932, 51316, 50932, 51070, 71364, 51317, 53838, 50998, 50932, 51169, 50932, 51316, 50932, 50459, 51136, 50995, 50462, 69597, 51317, 51022, 51169, 50827, 66747, 51032, 69168, 50849, 51070, 51432, 50463, 69597, 51317, 51022, 51169, 50827, 66747, 50474, 51070, 50905, 50480, 69164, 50483, 51316, 51241, 51540, 51169, 50864, 51316, 50864, 51317, 51022, 66485, 51957, 66646, 57290, 71920, 50873, 51070, 50974, 50415, 51169, 50864, 51316, 50864, 51317, 51022, 50998, 64999, 50771, 50328, 53770, 51317, 51269, 66485, 51169, 50827, 51316, 64274, 68751, 51317, 51269, 66485, 51169, 50827, 51316, 52739, 51136, 51204, 50435, 51032, 50889, 54360, 51145, 51068, 59312, 50849, 51070, 71106, 51316, 51218, 50998, 51417, 50450, 51317, 52397, 50998, 50932, 51169, 50932, 51316, 56203, 68383, 50873, 51070, 71364, 51317, 52397, 50998, 50932, 51169, 50932, 51316, 50932, 50462, 51317, 51022, 66485, 51169, 50827, 66747, 51640, 51115, 50843, 50849, 51070, 51166, 50463, 51317, 51022, 66485, 51169, 50827, 66747, 50471, 50998, 51203, 51316, 51203, 50474, 51070, 51697, 50480, 50771, 50330, 50925, 50483, 51136, 50995, 51540, 51032, 50904, 51136, 51269, 51169, 50851, 51549, 50851, 51032, 51412, 51602, 51353, 53654, 51717, 54165, 76274, 57290, 50849, 52356, 50974, 51070, 50974, 50415, 51032, 50864, 51136, 51269, 51169, 50827, 51549, 52580, 51032, 50904, 51136, 51252, 51169, 50851, 51549, 59031, 51697, 50427, 51032, 50864, 51136, 51252, 51169, 50827, 51549, 52788, 50986, 51801, 51169, 51801, 50843, 50849, 51070, 59914, 51136, 52397, 51169, 52011, 51032, 51330, 51549, 52011, 51070, 71364, 51136, 52397, 51169, 50932, 51032, 50932, 51549, 50932, 50462, 51136, 51269, 67671, 51549, 50907, 51169, 51365, 51533, 51562, 50843, 50849, 51070, 51432, 50463, 51136, 51269, 67671, 51549, 50827, 51169, 50933, 50474, 51070, 51697, 51540, 51032, 50904, 51136, 51022, 51169, 50907, 51549, 50851, 54457, 53259, 50798, 57290, 71920, 50873, 51070, 50974, 50415, 51032, 50864, 51136, 51022, 51169, 50827, 51549, 52580, 51032, 50971, 51136, 51022, 51169, 51210, 51549, 72431, 51737, 50427, 51032, 50864, 51136, 51022, 51169, 50933, 51549, 56180, 51068, 63778, 50849, 51070, 59914, 51136, 52618, 51169, 51333, 51032, 51333, 51549, 50932, 51070, 71364, 51136, 52618, 51169, 51108, 51032, 51108, 51549, 73003, 51032, 50971, 51136, 51269 ]

[ 0, 250, 251, 6, 2635, 12, 20764, 5175, 2125, 19, 10, 2933, 8, 15352, 30054, 5466, 6, 4246, 10, 13305, 483, 7513, 30, 38668, 18569, 6, 326, 15673, 22778, 6, 21072, 6, 8, 7213, 19258, 6648, 1536, 4, 20, 15229, 16, 11, 83, 3694, 8, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 19, 10, 33215, 16739, 9, 211, 401, 6, 1918, 6, 3676, 6, 211, 401, 6, 8, 1918, 406, 1271, 7, 63, 19448, 8, 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 ]

[ 57128, 51065, 55085, 51065, 54278, 51065, 53961, 51065, 54014, 51065, 55040, 51065, 54356, 51065, 54752, 51065, 50866, 66790, 55085, 51065, 54278, 51065, 53961, 51065, 54014, 51065, 55040, 51065, 54356, 51065, 54752, 51065, 50866, 66790, 55085, 51065, 54278, 51065, 53961, 51065, 54014, 51065, 55040, 51065, 54356, 51065, 54752, 51065, 50866, 66790, 55085, 51065, 54278, 51065, 53961, 51065, 54014, 50816, 53889, 55326, 50866, 50439, 50816, 53889, 62047, 50816, 53889, 53889, 50820, 53525, 50820, 57040, 58780, 50816, 53889, 52616, 50816, 56598, 59957, 50816, 50813, 51899, 54494, 56598, 50866, 54706, 54494, 53211, 50816, 56466, 70986, 50866, 50799, 50764, 50273, 55675, 53840, 70986, 55085, 50764, 50273, 55675, 53840, 70986, 58506, 70618, 51134, 50770, 50313, 51134, 50816, 62390, 58193, 51065, 53961, 51065, 54014, 51065, 60844, 70618, 51047, 74560, 51047, 65985, 53524, 65985, 56598, 54417, 51769, 52800, 50764, 50285, 51109, 50778, 50306, 52784, 62390, 62390, 64738, 55726, 50764, 50273, 51043, 51769, 53211, 51065, 50866, 50799, 50764, 50273, 55675, 53840, 70986, 55085, 50764, 50273, 50866, 70618, 51115, 74560, 67366, 53840, 70986, 58506, 50816, 62390, 58193, 51065, 53961, 51065, 54014, 50778, 50306, 56598, 60844, 65985, 53524, 65985, 56598, 54417, 51769, 52800, 50764, 50285, 67567, 62390, 62390, 64738, 55726, 50764, 50273, 51043, 51769, 53211, 51065, 50866, 50799, 50764, 50273, 55675, 53840, 70986, 55085, 50764, 50273, 55675, 53840, 70986, 58506, 70618, 51134, 50770, 50313, 51134, 50816, 62390, 58193, 51065, 53961, 51065, 54014, 51065, 60844, 70618, 51047, 74560, 51047, 65985, 53524, 65985, 56598, 54417, 51769, 52800, 50764, 50285, 51109, 50778, 50306, 52784, 62390, 62390, 64738, 55726, 50764, 50273, 51043, 51769, 53211, 51065, 50866, 50799, 50764, 50273, 55675, 53840, 70986, 55085, 50764, 50273, 50866, 70618, 51115, 74560, 67366, 53840, 70986, 58506, 50816, 62390, 58193, 51065, 53961, 51065, 54014, 50778, 50306, 54494, 53889, 55326, 50866, 50439, 50816, 53889, 62047, 50816, 53889, 53889, 54704, 65985, 54494, 50820, 57040, 58780, 50816, 53889, 52616, 65985, 54494, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 67567, 62390, 54494, 54494, 56466, 70986, 55726, 50764, 50273, 51043, 50816, 51101, 50816, 51101, 51769, 53211, 50816, 56466, 70986, 50866, 50799, 50764, 50273, 55675, 53840, 56466, 51101, 51769, 70986, 55085, 50764, 50273, 55675, 53840, 50866, 51769, 70986, 58506, 70618, 51134, 50770, 50313, 51134, 50816, 54494, 62390, 51025, 51694, 51101, 51769, 70986, 50866, 55292, 62118, 51769, 70986, 50866, 57177, 52781, 50816, 51101, 51769, 70986, 60844, 70618, 51047, 74560, 51047, 65985, 53524, 65985, 76922, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 51109, 50778, 50306, 52784, 62390, 51101, 50816, 62390, 51025, 51769, 56598, 55726, 50764, 50273, 51043, 51769, 53211, 51769, 70986, 50866, 53206, 50813, 50799, 50764, 50273, 55675, 53840, 70986, 55085, 50764, 50273, 50866, 70618, 51115, 74560, 67366, 53840, 70986, 58506, 50816, 62390, 58193, 51065, 53961, 51065, 54014, 50778, 50306, 54494, 53889, 55326, 50866, 50439, 50816, 53889, 62047, 50816, 53889, 53889, 54704, 65985, 54494, 50820, 57040, 58780, 50816, 53889, 52616, 65985, 54494, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 67567, 62390, 54494, 54494, 56466, 70986, 55726, 50764, 50273, 51043, 50816, 51101, 50816, 51101, 51769, 53211, 50816, 56466, 70986, 50866, 50799, 50764, 50273, 55675, 53840, 56466, 51101, 51769, 70986, 55085, 50764, 50273, 55675, 53840, 50866, 51769, 70986, 58506, 70618, 51134, 50770, 50313, 51134, 50816, 54494, 62390, 51025, 51694, 51101, 51769, 70986, 50866, 55292, 62118, 51769, 70986, 50866, 57177, 52781, 50816, 51101, 51769, 70986, 60844, 70618, 51047, 74560, 51047, 65985, 53524, 65985, 76922, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 51109, 50778, 50306, 52784, 62390, 51101, 50816, 62390, 51025, 51769, 56598, 55726, 50764, 50273, 51043, 51769, 53211, 51769, 70986, 50866, 53206, 50813, 50799, 50764, 50273, 55675, 53840, 70986, 55085, 50764, 50273, 50866, 70618, 51115, 74560, 67366, 53840, 70986, 58506, 50816, 62390, 58193, 51065, 53961, 51065, 54014, 50778, 50306, 54494, 53889, 55326, 50866, 50439, 50816, 53889, 62047, 50816, 53889, 53889, 54704, 65985, 54494, 50820, 57040, 58780, 50816, 53889, 52616, 65985, 54494, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 67567, 62390, 54494, 54494, 56466, 70986, 55726, 50764, 50273, 51043, 50816, 51101, 50816, 51101, 51769, 53211, 50816, 56466, 70986, 50866, 55547, 51422, 50764, 50273, 55675, 53840, 56466, 51101, 51769, 70986, 65314, 51315, 51452, 64401, 51452, 50764, 50273, 55675, 53840, 50866, 51769, 70986, 58506, 70618, 51134, 50770, 50313, 51134, 50816, 54494, 62390, 51025, 51694, 51101, 51769, 70986, 50866, 55292, 62118, 51769, 70986, 50866, 57177, 52781, 50816, 51101, 51769, 70986, 60844, 70618, 51047, 74560, 51047, 65985, 53524, 65985, 76922, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 51109, 50778, 50306, 52784, 62390, 51101, 50816, 62390, 51025, 51769, 56598, 55726, 50764, 50273, 51043, 51769, 53211, 51769, 70986, 50866, 53206, 50813, 54868, 51714, 50764, 50273, 55675, 53840, 70986, 65314, 51027, 51422, 64401, 51422, 50764, 50273, 50866, 70618, 51115, 74560, 67366, 53840, 70986, 58506, 50900, 51452, 50816, 62390, 58193, 51065, 53961, 51065, 54014, 50778, 50306, 54494, 53889, 55326, 50866, 50439, 50816, 53889, 62047, 50816, 53889, 53889, 54704, 65985, 54494, 50820, 57040, 58780, 50816, 53889, 52616, 50916, 51134, 65985, 54494, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 67567, 62390, 54494, 54494, 56466, 70986, 55726, 50764, 50273, 51043, 50816, 51101, 50816, 51101, 51769, 53211, 50816, 56466, 70986, 50866, 55547, 51452, 50764, 50273, 55675, 53840, 56466, 51101, 51769, 70986, 65314, 51315, 51047, 56945, 51397, 50764, 50273, 55675, 53840, 50866, 51769, 70986, 58506, 51086, 51452, 70618, 51134, 50770, 50313, 51134, 50816, 54494, 62390, 51025, 51694, 51101, 51769, 70986, 50866, 55292, 62118, 51769, 70986, 50866, 57177, 52781, 50816, 51101, 51769, 70986, 60844, 70618, 51047, 74560, 51047, 65985, 53524, 65985, 76922, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 51109, 50778, 50306, 52784, 62390, 51101, 50816, 62390, 51025, 51769, 56598, 55726, 50764, 50273, 51043, 51769, 53211, 51769, 70986, 50866, 53206, 50813, 54868, 51115, 50900, 51115, 50764, 50273, 55675, 53840, 70986, 55085, 50764, 50273, 50866, 70618, 51115, 74560, 67366, 53840, 70986, 58506, 50816, 62390, 58193, 51065, 53961, 51065, 54014, 51026, 51115, 51086, 51115, 50778, 50306, 54494, 53889, 55326, 50866, 50439, 50816, 53889, 62047, 50816, 53889, 53889, 54704, 65985, 54494, 50820, 57040, 58780, 50816, 53889, 52616, 65985, 54494, 56598, 54417, 50816, 76922, 52800, 50764, 50285, 67567, 62390, 54494, 54494, 56466, 70986, 55726, 50764, 50273, 51043, 50816, 51101, 50816, 51101, 51769, 53211, 50816, 56466, 70986, 50866, 55547, 51714, 50764, 50273, 55675, 53840, 56466, 51101, 51769, 70986, 65314, 51315, 51422, 56945, 51422, 50764, 50273, 55675, 53840, 50866, 51769, 70986, 58506, 51086, 51452, 70618, 51134, 50770, 50313, 51134, 50816, 54494, 62390, 51025, 51694, 51101, 51769, 70986, 50866, 55292, 62118, 50973, 51115, 51769, 70986, 50866 ]

[ 0, 250, 15352, 30054, 5175, 19834, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 21979, 8669, 6, 3459, 8, 31391, 1672, 9590, 6, 8, 38668, 22052, 4, 20, 2214, 16, 11, 230, 3694, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 10, 7212, 20889, 9, 11061, 741, 1685, 4, 20, 1049, 33215, 16739, 16, 12608, 119, 1176, 406, 6, 230, 119, 406, 6, 274, 119, 406, 6, 163, 428, 406, 6, 8, 230, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 60859, 53569, 50903, 51693, 60859, 50982, 51768, 53569, 50903, 51693, 51955, 50982, 66513, 55776, 51476, 51243, 51249, 51748, 51327, 52727, 50876, 73089, 64004, 51097, 50885, 51481, 51720, 54153, 52120, 55614, 51132, 52069, 58060, 50845, 56457, 50931, 55808, 50959, 61632, 50885, 72900, 51044, 52417, 67384, 50999, 51109, 60942, 54003, 57107, 50885, 52134, 50438, 50946, 52731, 52120, 52878, 50876, 54879, 50933, 68346, 51471, 52612, 52725, 51303, 78504, 56566, 62265, 51139, 52579, 50999, 57847, 63464, 53270, 57735, 51132, 50937, 79480, 51490, 51414, 51145, 52109, 51314, 51081, 63593, 51961, 59775, 51894, 52120, 58278, 55614, 51132, 51183, 51037, 52397, 50420, 51028, 58338, 52034, 50872, 51172, 56457, 51303, 52845, 50321, 50845, 55722, 52417, 51001, 51134, 51062, 51134, 51017, 51142, 54003, 57107, 51037, 56006, 51687, 51097, 51327, 50932, 50885, 53010, 50847, 51309, 52120, 56068, 51132, 51267, 51180, 52802, 52102, 74915, 51312, 51081, 51312, 61523, 50939, 51174, 51037, 51824, 74315, 55722, 55223, 51132, 51267, 50456, 51414, 51079, 54003, 57534, 51037, 51004, 66513, 55776, 51476, 51243, 51249, 51748, 51327, 52727, 50876, 64510, 59324, 51097, 50885, 51481, 51720, 54153, 52120, 55614, 51132, 52069, 58060, 50845, 56457, 50931, 55808, 50959, 61632, 50885, 72900, 51044, 52417, 50876, 51312, 50999, 51312, 60942, 54003, 57107, 50885, 52134, 50438, 50946, 52731, 52120, 52878, 50876, 54879, 50933, 68346, 54003, 52802, 51303, 78504, 56566, 73156, 51044, 52579, 50999, 56566, 63464, 51437, 57534, 51132, 50937, 54983, 51417, 52102, 52136, 51414, 51310, 52109, 51637, 51081, 55808, 51254, 50939, 51470, 51017, 51824, 59775, 51894, 52120, 52981, 51028, 50892, 56457, 51303, 53535, 50321, 57076, 50933, 51037, 51022, 51017, 51142, 50939, 51051, 55722, 52417, 51687, 51477, 51327, 51283, 51001, 51391, 51062, 51391, 54003, 52766, 51132, 61677, 53010, 50847, 51309, 64765, 51180, 52802, 51132, 50943, 52102, 52415, 50317, 51312, 51081, 51312, 51037, 53010, 77735, 55722, 52579, 51476, 52980, 51303, 52140, 51249, 53588, 51327, 55844, 54003, 50829, 52894, 51518, 50876, 64510, 56566, 51242, 65890, 64303, 51720, 51894, 52120, 55614, 50946, 51254, 58060, 50845, 56457, 50931, 56566, 51128, 50872, 62413, 51044, 55477, 50850, 53962, 50999, 51391, 51062, 51391, 54003, 57107, 50885, 51000, 50850, 50971, 50872, 52958, 50885, 63464, 51044, 56068, 50946, 53594, 51476, 52136, 50885, 55503, 51437, 52802, 51132, 50977, 51303, 60700, 56566, 50941, 50850, 51000, 50872, 50367, 51502, 51044, 52579, 51132, 50836, 51249, 77882, 56566, 62625, 51437, 57534, 50946, 50982, 76269, 61323, 51490, 51651, 51145, 51327, 51314, 50876, 75855, 64107, 51254, 50992, 51470, 50885, 51824, 53926, 51191, 52120, 55614, 51602, 73009, 51001, 50892, 56457, 51687, 78181, 61365, 50933, 51396, 51022, 74571, 50992, 51051, 55722, 52417, 50906, 51312, 50951, 51312, 52018, 51241, 54003, 52766, 51410, 51490, 51414, 51145, 51457, 51314, 57230, 50939, 51174, 51037, 51824, 64730, 52120, 56068, 51137, 70268, 50906, 50892, 51471, 50445, 51037, 54044, 51231, 52845, 50319, 56238, 50955, 73190, 61301, 72864, 52053, 50873, 55722, 52579, 50951, 67842, 52514, 50848, 52794, 51133, 50873, 54003, 50829, 52894, 51605, 51476, 52980, 51303, 51445, 51249, 52503, 51327, 51671, 51701, 51218, 50877, 51295, 50885, 51242, 65890, 64303, 51229, 61217, 54153, 52120, 55614, 50946, 51254, 50420, 51451, 50892, 56457, 50885, 51128, 59228, 51256, 50892, 55722, 55477, 50850, 53962, 51229, 51312, 54003, 57107, 50885, 51000, 50850, 50971, 50872, 52958, 50885, 63464, 51044, 56068, 50946, 53594, 61497, 51451, 50892, 54003, 52802, 51476, 50981, 69076, 50850, 51000, 50872, 50928, 51256, 50892, 55722, 52579, 51132, 50955, 50885, 51128, 51229, 50892, 54003, 57534, 50946, 50982, 76269, 52894, 51307, 52102, 52980, 51303, 51445, 51414, 52503, 52109, 51671, 52736, 59292, 68250, 50901, 51720, 51894, 52120, 55614, 50872, 67842, 52518, 74315, 50939, 63922, 52736, 59292, 68250, 50901, 56457, 52736, 58801, 69791, 50845, 55722, 55477, 66058, 50939, 50933, 51037, 51524, 51017, 55286, 52736, 58801, 69791, 50845, 54003, 57107, 51037, 65627, 51017, 54203, 53034, 51056, 50876, 51267, 51001, 51267, 78018, 51037, 51319, 50872, 58059, 51044, 56068, 51017, 53858, 50872, 51277, 50939, 51309, 51037, 52482, 51017, 50972, 56890, 52102, 50981, 52736, 64651, 50845, 51408, 50892, 55722, 52579, 51716, 51127, 68275, 51229, 51312, 54003, 57534, 51017, 51128, 51037, 50982, 52894, 51894, 51476, 52980, 51303, 51445, 51249, 52503, 51327, 51671, 77456, 50885, 51481, 50945, 54153, 52120, 52981, 51451, 50892, 56457, 66058, 61632, 62092, 51256, 50845, 55722, 52417, 60942, 51229, 51312, 54003, 57107, 50885, 52134, 51556, 52896, 50946, 52731, 52120, 52878, 68059, 68346, 51451, 50892, 56890, 51476, 50981, 69865, 51256, 50892, 55722, 52579, 51132, 50866, 51327, 56964, 56566, 51126, 51229, 50892, 54003, 54794, 69386, 52894, 51359, 51303, 55776, 52102, 51243, 51414, 51748, 52109, 52727, 52736, 59292, 69791, 63593, 51242, 50939, 51174, 64303, 51720, 51894, 52120, 55614, 51037, 51254, 50420, 52736, 59292, 66289, 50892, 56457, 52736, 58801, 66289, 67493, 51128, 50872, 62413, 51044, 55477, 50939, 53962, 52547, 51159, 70338, 51028, 51109, 50931, 51109, 54003, 57107, 51017, 51000, 50939, 50971, 50872, 52958, 51017, 63464, 51044, 56068, 51037, 53594, 53051, 51056, 67384, 50931, 51109, 50999, 51109, 68320, 56890, 51303, 51330, 74588, 50939, 51000, 50872, 50367, 51502, 51044, 52579, 53051, 51127, 50999, 51183, 51017, 51128, 51334, 51253, 51893, 51253, 54003, 57534, 51037, 50982, 52894, 51605, 51303, 55776, 51476, 51243, 51249, 51748, 51327, 52727, 69047, 76892, 50945, 54153, 52120, 52981, 51229, 50892, 51471, 50424, 50885, 51824, 50425, 50872, 60316, 75017, 51334, 50892, 55722, 52417, 51893, 51312, 54003, 50829, 63664, 52878, 52287, 55664, 51051, 50946, 51365, 51334, 50845, 54003, 52802, 52932, 50873, 51303, 51330, 53051, 68502, 56566, 51297, 51893, 50845, 55722, 52579, 51132, 50955, 51981, 51127, 52471, 51127, 50951, 51145, 50946, 51123, 62765, 51924, 51312, 54003, 50829, 76269, 52894, 51359, 51231, 55776, 51465, 51243, 51327, 51748, 51818, 52727, 66329, 50868, 51797, 50885, 52482, 51720, 51894, 52120, 52981, 51209, 50845, 56457, 70984, 51334, 50845, 55722, 52417, 51924, 51312, 52004, 51312, 54003, 57107, 50885, 59656, 77544, 52120, 56068, 50868, 60466, 50847, 52059, 51334, 50892, 56890, 51231, 51330, 53051, 68502, 50845, 51893, 50845, 55722, 52579, 52547, 51127, 50931, 51047, 51390, 51109, 54003, 50829, 52894, 51945, 51410, 51490, 51303, 52168, 51414, 52528, 51457, 51671, 51037, 51097, 50848, 51481, 50945, 51894, 52120, 52981, 51256, 50845, 56457, 66058, 63384, 58440, 51408, 50845, 55722, 52417, 60942, 51390, 51109, 54003, 57107, 50848, 52134, 50438, 51037, 52731, 52120, 52878, 51410, 52136, 50939, 50933, 68346, 51408, 50845, 56890, 51303, 50932, 72731, 51390, 50901, 55722, 52579, 58154, 50925, 51414, 51074, 52547, 64213, 55257, 51126, 51893, 50901, 54003, 50829, 55609, 51191, 51476, 51490, 51651, 51145, 51327, 51314, 54229, 51056, 51147, 51312, 51334, 50901, 53926, 51191, 52120, 55614, 51396, 51642, 79067, 50420, 52031, 50845, 56457, 51687, 51333, 54229, 51458, 50324, 51501, 50300, 51824, 50979 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 11, 274, 538, 6, 4246, 13305, 6, 21979, 8669, 6, 32909, 6, 3459, 9590, 6, 8, 1515, 21305, 4, 590, 10, 155, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 5, 2125, 29769, 198, 5, 16331, 33215, 16739, 9, 274, 6, 163, 428, 6, 274, 6, 8, 230, 406, 6, 7630, 14805, 6453, 9, 657, 8, 11098, 14, 74, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 73566, 51018, 51034, 50902, 51283, 50931, 51283, 51146, 51283, 53258, 51283, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 55665, 51028, 58903, 51260, 50329, 50838, 56212, 52718, 50902, 60700, 51517, 50330, 50932, 53258, 50932, 74868, 67907, 50939, 50932, 51034, 50906, 75657, 51080, 51081, 51080, 54113, 51080, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 54498, 50902, 60700, 51517, 50330, 50932, 53258, 50932, 74868, 67907, 50939, 50932, 51034, 51001, 65300, 51517, 50331, 50932, 56929, 50932, 51751, 50932, 51105, 62666, 50951, 77404, 51517, 50331, 50932, 56929, 50932, 76895, 72975, 50939, 54498, 51001, 65300, 51517, 50331, 50932, 56929, 50932, 76895, 72975, 50939, 50932, 51034, 50902, 75575, 51080, 51146, 51080, 53258, 51080, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 54498, 50931, 77404, 51517, 50333, 50932, 56623, 50932, 74868, 67907, 50939, 50932, 51034, 50931, 70453, 51517, 50333, 50932, 56623, 50932, 51164, 50932, 50945, 62666, 51001, 65300, 51517, 50331, 50932, 56929, 50932, 76895, 67907, 50850, 54498, 50876, 66985, 74616, 50932, 52780, 50932, 76895, 67907, 69590, 51034, 50906, 60473, 77404, 50932, 54113, 50932, 52021, 50932, 51037, 50932, 51186, 51080, 60718, 51283, 50931, 51283, 51146, 51283, 53258, 51283, 74868, 67907, 50939, 54498, 74868, 67907, 50939, 56350, 50906, 57777, 64079, 50838, 54113, 50838, 51034, 50877, 58327, 77316, 52142, 50932, 51164, 50932, 50945, 51080, 56546, 51283, 51001, 51283, 51062, 51283, 52780, 51283, 76895, 67907, 50850, 54498, 76895, 67907, 50850, 56350, 50877, 55512, 60472, 50838, 75516, 51034, 50906, 75657, 51080, 51081, 51080, 54113, 51080, 52021, 50932, 51037, 50932, 51186, 54869, 74868, 67907, 50939, 50932, 51271, 53052, 51133, 52718, 74868, 67907, 50939, 50932, 51186, 53624, 51011, 50838, 51034, 50902, 51283, 50931, 51283, 51146, 51283, 53077, 51283, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 55665, 51028, 58903, 51260, 50329, 50838, 55343, 52718, 50902, 60700, 51517, 50330, 50932, 53077, 50932, 74868, 67907, 50939, 50932, 51034, 50906, 75657, 51080, 51081, 51080, 54414, 51080, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 54498, 50902, 60700, 51517, 50330, 50932, 53077, 50932, 74868, 67907, 50939, 50932, 51034, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 51751, 50932, 51105, 62666, 50951, 77404, 51517, 50335, 50932, 53863, 50932, 76895, 72975, 50939, 54498, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 76895, 72975, 50939, 50932, 51034, 50902, 75575, 51080, 51146, 51080, 53077, 51080, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 54498, 74868, 67907, 50939, 50932, 51034, 50902, 51283, 50931, 51283, 51146, 51283, 53077, 51283, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 55665, 51028, 58903, 51260, 50329, 50838, 55343, 52718, 50902, 60700, 51517, 50330, 50932, 53077, 50932, 74868, 67907, 50939, 50932, 51034, 50906, 75657, 51080, 51081, 51080, 53077, 51080, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 54498, 50902, 60700, 51517, 50330, 50932, 53407, 50932, 74868, 67907, 50939, 50932, 51034, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 51751, 50932, 76895, 52053, 54869, 50902, 60700, 51517, 50330, 50932, 53077, 50932, 51171, 50932, 74868, 51271, 54498, 50906, 60473, 77404, 50932, 54414, 50932, 52021, 50932, 51037, 50932, 51186, 50932, 71213, 66743, 75575, 51080, 53250, 51080, 51164, 51080, 50945, 51080, 51034, 50902, 51283, 50931, 51283, 51146, 51283, 53077, 51283, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 55665, 51028, 58903, 51260, 50329, 50838, 55343, 52718, 50902, 60700, 51517, 50330, 50932, 53077, 50932, 74868, 67907, 50939, 50932, 51034, 50906, 75657, 51080, 51081, 51080, 54414, 51080, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 54498, 50902, 60700, 51517, 50330, 50932, 53077, 50932, 74868, 67907, 50939, 50932, 51034, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 51751, 50932, 51105, 62666, 50951, 77404, 51517, 50335, 50932, 53863, 50932, 76895, 72975, 50939, 54498, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 76895, 72975, 50939, 50932, 51034, 50902, 75575, 51080, 51146, 51080, 53077, 51080, 52021, 50932, 51037, 50932, 51186, 51080, 57189, 50932, 67907, 50939, 54498, 50931, 77404, 51517, 50333, 50932, 53407, 50932, 74868, 67907, 50939, 50932, 51034, 50931, 70453, 51517, 50333, 50932, 53407, 50932, 51164, 50932, 50945, 62666, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 76895, 67907, 50850, 54498, 50876, 66985, 74616, 50932, 53250, 50932, 76895, 67907, 69590, 51034, 50906, 60473, 77404, 50932, 54414, 50932, 52021, 50932, 51037, 50932, 51186, 51080, 60718, 51283, 50931, 51283, 51146, 51283, 53077, 51283, 74868, 67907, 50939, 54498, 74868, 67907, 50939, 56350, 50906, 57777, 64079, 50838, 53250, 50838, 51034, 50877, 58327, 77316, 54812, 50932, 51164, 50932, 50945, 51080, 56546, 51283, 51001, 51283, 51062, 51283, 53250, 51283, 76895, 67907, 50850, 54498, 76895, 67907, 50850, 56350, 50877, 55512, 60472, 50838, 54812, 50838, 51034, 50906, 75657, 51080, 51081, 51080, 54414, 51080, 52021, 50932, 51037, 50932, 51186, 51172, 50423, 51011, 52580, 74868, 67907, 50939, 50932, 51186, 53052, 51133, 52718, 74868, 67907, 50939, 50932, 51186, 53624, 50945, 50838, 51034, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 51751, 50932, 51105, 62666, 51001, 51283, 50951, 51283, 51405, 51283, 53777, 51283, 50979, 54498, 50847, 56350, 51001, 57945, 51260, 50331, 50838, 53777, 50838, 51034, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 50939, 50932, 52053, 62666, 50951, 77404, 51517, 50335, 50932, 53863, 50932, 50847, 54498, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 76895, 51034, 50902, 60700, 51517, 50330, 50932, 53077, 50932, 52021, 50932, 51037, 50932, 51186, 62666, 50931, 51283, 51081, 51283, 51339, 51283, 53407, 51283, 50848, 54498, 50872, 56350, 50902, 57643, 77868, 50838, 53077, 50838, 51034, 50902, 75575, 51080, 51146, 51080, 53077, 51080, 50939, 50932, 51096, 62666, 50872, 54498, 74868, 78031, 66985, 74616, 50932, 53250, 50932, 51164, 50932, 50945, 51080, 56546, 51283, 51001, 51283, 51062, 51283, 53250, 51283, 50979, 54498, 50872, 56350, 50876, 60778, 65348, 50838, 53250, 50838, 51034, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 69590, 51720, 51080, 60718, 60700, 51517, 50330, 50932, 53077, 50932, 50872, 54498, 50876, 66985, 74616, 50932, 53250, 50932, 76895, 51034, 50906, 60473, 77404, 50932, 54414, 50932, 52021, 50932, 51037, 50932, 51186, 51080, 60718, 60700, 51517, 50330, 50932, 53077, 50932, 50848, 54498, 50931, 77404, 51517, 50333, 50932, 53407, 50932, 67907, 51034, 50902, 75575, 51080, 51146, 51080, 53077, 51080, 50939, 50932, 51096, 62666, 50872, 54498, 74868, 51034, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 51751, 50932, 51105, 62666, 51001, 51283, 50951, 51283, 51405, 51283, 53777, 51283, 50979, 54498, 50847, 56350, 51001, 57945, 51260, 50331, 50838, 53777, 50838, 51034, 51001, 65300, 51517, 50331, 50932, 53777, 50932, 50939, 50932, 52053, 62666, 50951, 77404, 51517, 50335, 50932, 53863, 50932, 50847 ]

[ 0, 250, 5679, 26709, 8, 19448, 5175, 2214, 19, 1365, 6288, 4785, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 8, 38668, 11212, 4, 8504, 11, 10, 155, 73, 306, 86, 6543, 8, 10, 182, 1769, 20889, 6, 42, 15352, 30054, 2125, 11, 5, 762, 9, 272, 538, 7630, 6568, 10, 4845, 119, 27633, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51034, 50639, 51018, 51034, 67375, 54484, 53460, 54484, 53278, 53002, 52507, 53073, 51304, 52644, 50861, 51734, 50292, 53082, 50900, 52821, 50916, 52821, 51660, 54300, 51774, 54300, 51434, 54484, 63132, 51803, 54439, 51359, 62204, 51047, 51034, 50968, 51933, 56546, 51103, 57267, 51159, 51034, 64638, 54089, 56470, 54300, 51558, 51677, 50861, 51312, 51086, 51518, 50916, 51518, 51315, 53413, 51660, 54484, 52745, 54484, 51434, 53090, 74148, 51803, 54439, 52919, 50438, 50973, 51353, 51034, 51182, 51677, 50916, 51692, 51086, 51692, 50968, 51585, 58128, 52015, 51034, 67375, 53002, 53460, 53002, 51266, 51151, 51085, 52121, 50900, 52149, 51026, 52250, 52769, 53002, 51774, 53073, 51660, 53073, 58385, 52015, 54439, 52821, 78031, 61899, 51107, 50915, 55873, 51534, 50438, 51093, 51003, 51434, 54834, 55199, 51534, 51034, 51088, 52644, 51607, 54484, 53807, 51803, 50433, 67384, 50439, 50968, 51918, 50931, 51192, 51034, 50968, 52266, 56546, 74814, 61168, 61928, 51290, 51034, 57179, 51343, 51088, 51717, 51660, 54484, 51774, 54300, 51434, 54484, 52166, 50834, 51544, 50863, 52876, 52788, 57179, 51345, 51960, 52803, 50822, 51034, 57179, 51661, 50804, 52465, 50820, 54148, 53906, 51607, 51336, 51468, 52803, 53614, 57179, 51345, 52043, 51290, 54643, 50863, 52876, 50827, 51034, 64638, 54484, 56470, 54300, 57179, 51285, 51434, 54484, 52043, 51941, 51808, 54300, 52455, 50834, 51544, 50837, 52876, 53269, 56997, 51661, 51970, 55142, 50822, 51034, 52043, 51585, 57653, 50834, 54148, 53906, 56997, 51294, 51468, 55142, 50874, 51570, 50870, 52876, 79174, 57179, 50967, 51034, 56035, 54089, 53460, 53073, 52684, 54484, 51113, 53082, 51440, 54300, 51660, 54484, 51607, 54484, 51897, 55376, 57641, 51661, 51544, 50837, 54033, 50851, 51570, 50870, 52803, 73241, 61168, 51605, 51034, 52043, 51941, 63132, 51422, 50804, 52348, 50820, 54148, 62833, 51836, 51538, 51544, 50863, 52803, 50874, 51658, 51406, 50870, 54033, 50874, 51034, 56643, 54300, 52507, 54089, 51088, 52644, 51434, 52045, 51660, 54484, 51607, 54484, 74148, 51677, 52455, 50834, 53339, 51486, 51544, 50837, 52876, 50827, 51570, 50870, 52803, 50874, 51034, 52043, 51941, 58128, 51677, 69390, 50820, 54148, 50810, 51946, 79216, 61168, 50879, 51842, 52803, 54123, 61168, 51235, 51970, 52876, 50827, 51034, 57697, 54484, 52693, 53002, 52684, 54089, 53517, 51227, 51299, 52821, 51093, 52821, 51440, 54300, 51515, 54484, 51607, 54300, 57716, 52919, 52166, 50834, 51649, 50886, 52196, 76188, 51649, 55105, 51649, 53910, 51649, 54317, 53517, 51013, 51970, 54033, 50827, 51649, 56789, 51649, 53860, 51649, 55643, 51649, 50886, 51570, 50863, 52803, 50822, 51649, 57917, 51649, 54434, 53517, 50910, 51649, 56317, 51649, 50867, 51034, 53517, 63924, 52465, 50820, 52798, 50854, 51649, 62399, 51649, 54202, 51649, 56037, 51649, 50886, 51544, 50837, 52803, 50822, 51649, 56789, 51649, 53998, 51649, 56579, 51649, 54728, 53517, 52218, 51187, 50863, 54033, 50827, 51649, 57917, 51649, 54758, 53517, 50917, 51649, 56518, 51649, 50867, 51034, 56643, 54484, 56470, 54484, 52507, 53073, 55049, 51285, 51251, 52903, 51357, 53259, 51434, 54484, 51614, 54300, 51808, 54300, 52166, 50820, 51439, 58671, 51439, 54819, 51439, 55754, 51439, 50867, 51544, 50837, 52876, 50912, 51439, 55863, 51439, 53998, 51439, 56579, 51439, 53980, 57641, 50807, 51960, 52978, 50822, 51439, 57917, 51439, 54305, 51439, 56518, 51439, 50867, 51034, 69390, 50820, 52837, 50854, 51439, 58671, 51439, 55394, 52978, 50827, 51439, 57559, 51439, 52524, 57641, 51175, 51842, 55142, 50874, 51439, 57860, 51439, 53860, 51439, 55643, 51439, 54728, 51113, 51003, 51960, 52876, 50874, 51257, 66090, 61168, 51215, 50441, 51257, 55368, 51257, 57298, 51257, 50857, 51034, 67375, 53002, 53460, 53073, 53278, 52570, 51301, 52250, 51088, 52250, 51434, 56736, 51660, 53002, 51607, 53002, 51897, 78756, 66277, 57179, 53241, 50417, 51149, 53299, 51149, 56037, 51149, 50864, 51544, 50863, 52803, 50827, 51149, 57860, 51149, 54860, 51149, 56030, 51149, 50904, 51570, 50863, 52876, 50912, 51149, 59356, 51149, 54434, 51149, 56317, 51149, 50867, 51034, 50804, 52465, 50839, 54148, 60214, 64280, 51149, 55772, 52837, 50822, 51149, 55470, 51149, 53803, 51468, 54148, 50822, 51149, 61660, 51149, 54854, 52803, 50851, 51149, 57039, 51149, 50971, 51658, 51467, 50863, 52876, 50827, 51149, 63780, 51149, 55434, 54764, 50827, 51149, 66701, 51149, 51128, 51034, 52166, 50834, 54148, 60214, 59197, 51434, 54454, 51842, 52978, 54123, 51607, 51161, 51960, 52803, 50827, 51034, 52257, 51941, 57653, 50820, 52876, 53906, 55049, 51192, 52043, 51356, 51842, 54764, 52788, 51443, 51073, 55049, 50795, 51669, 51073, 51960, 54708, 67267, 50988, 53082, 50447, 50885, 53082, 50448, 50868, 53082, 50449, 50847, 52821, 77668, 55362, 53048, 51173, 51093, 53082, 51434, 54300, 51660, 54484, 51607, 54089, 52166, 68341, 53651, 50426, 53048, 51294, 51468, 52876, 50827, 51570, 50870, 52803, 79174, 53048, 50849, 51034, 53048, 62719, 52465, 67337, 54148, 52654, 53048, 51290, 51970, 52803, 54123, 50953, 51073, 53048, 50865, 53026, 50870, 52876, 68164, 53048, 51661, 50446, 50988, 53413, 50447, 51042, 53082, 50448, 50868, 53454, 50449, 50847, 53454, 51034, 51205, 56082, 56470, 54089, 51357, 53082, 51660, 54484, 51808, 54089, 51434, 54484, 52166, 67065, 53380, 50426, 51468, 52876, 55100, 53050, 50879, 51570, 50863, 55142, 78953, 53050, 50849, 51034, 57653, 50820, 54148, 62833, 53050, 51291, 51544, 50863, 55142, 54123, 53048, 51157, 51970, 52876, 62182, 50946, 53082, 50447, 50885, 53082, 50448, 50868, 52644, 50449, 50850, 52644, 51034, 51069, 53898, 53460, 52570, 52684, 54484, 51113, 52919, 51660, 54300, 51774, 54300, 51440, 54300, 52166, 68341, 53380, 50415, 53446, 51285, 51544, 50837, 54033, 50827, 51570, 50870, 52803, 73241, 53698, 51894, 51034, 50804, 52348, 74196, 54148, 50854, 51544, 50837, 52803, 54123, 51019, 51073, 51113, 50943, 51093, 51003, 54643, 50863, 54033, 62407, 50988, 53082, 50447, 50885, 53454, 50448, 50868, 53454, 50449, 50847, 52821, 51034, 50953, 51469, 52507, 54484, 51088, 51518, 51357, 51518, 51660, 54300, 51774, 54300, 51434, 54300, 51897, 61442, 53380, 51544, 50837, 52876, 50851, 51570, 50863, 52803, 50874, 51034, 51301, 51692, 51088, 51486, 69390, 50820, 54148, 53906, 51105, 51073, 53698, 50879, 51970, 52803, 54123, 51019, 51290, 53698, 51235, 51970, 52876, 62182, 50946, 53082, 50447, 50885, 52644, 50448, 50872, 52644, 50449, 50850, 52644, 77851, 53898, 52693, 52570, 52684, 54300, 53428, 51285, 51154, 52644, 51113, 53454, 51093, 52821, 51515, 54484, 51774, 54300, 51440, 54484, 51897, 50834, 51649, 50864, 50909, 53259, 50417, 51649, 55105, 51649, 53910, 51649, 50864, 51544, 50837, 54033, 50851, 51649, 56789, 51649, 53860, 51649, 55643, 51649, 54077, 53428, 51141, 51970, 52803, 50822, 51649, 59356, 51649, 54305, 51649, 56317, 51649, 50857, 51034, 50804, 52348, 61209, 52798, 50810, 51649, 62399, 51649, 54202, 51649, 55754, 51649, 53935, 53428, 51221, 51970, 52803, 50822, 51649, 59399, 51649, 53998, 51649, 56579, 51649, 53945, 50964, 51048, 53428, 51056, 53026, 50870, 54033, 50827, 51649, 61173, 51649, 54434, 51649, 60812, 51042, 53082, 50447, 51649, 69942, 53082, 50448, 50872, 52644, 50449, 50847, 53454, 51034, 50953, 55362, 56470, 54089, 52507, 53073 ]

[ 0, 250, 2635, 12, 20764, 3495, 1619, 2214, 11, 274, 3694, 6, 4246, 10, 13305, 483, 7513, 30, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 20, 2125, 7630, 6568, 6453, 9, 657, 8, 26545, 149, 63, 15352, 30054, 1011, 625, 2496, 4, 20, 33215, 16739, 9, 230, 10431, 119, 1176, 406, 6, 12608, 6, 8, 274, 119, 406, 3639, 7, 5, 2214, 18, 32625, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50620, 50796, 76496, 57490, 51114, 50839, 57190, 50959, 70647, 51147, 50933, 50900, 56779, 51147, 52518, 51040, 53536, 50312, 51753, 51176, 53535, 50317, 51242, 50871, 52731, 50432, 51147, 54665, 51147, 52434, 50310, 67307, 51242, 51001, 52415, 50304, 51074, 50441, 51114, 54028, 50931, 50825, 51360, 75632, 63751, 50891, 50965, 78864, 61082, 51176, 63659, 51028, 80129, 50912, 50956, 61257, 51682, 50297, 50907, 51929, 50844, 53369, 50907, 52806, 50984, 52027, 50844, 52361, 71206, 51966, 51452, 50997, 51008, 50871, 51025, 55694, 51452, 51773, 50974, 51515, 50987, 52557, 54887, 67347, 54829, 56922, 52168, 56194, 65278, 50416, 51360, 51680, 50419, 51378, 51806, 66345, 51210, 50425, 50871, 51043, 50428, 50956, 52482, 50431, 50997, 53674, 50434, 51378, 51806, 50437, 50871, 50972, 54258, 50867, 51773, 68211, 50956, 69698, 54632, 50851, 51774, 50955, 52027, 50925, 51929, 58238, 51176, 50933, 51503, 51051, 74575, 50956, 50810, 63156, 51197, 51051, 68641, 50912, 55677, 65241, 51929, 51775, 50459, 51234, 51945, 51040, 71901, 65631, 51591, 51727, 51161, 51774, 51852, 52435, 51363, 51515, 51534, 52027, 51203, 54197, 54171, 50417, 50997, 52916, 61683, 57079, 50965, 51381, 53645, 51252, 50429, 51040, 60816, 51176, 52598, 50435, 51040, 51432, 69332, 52134, 50447, 50931, 50841, 52327, 55647, 51028, 50841, 52361, 54370, 50997, 64238, 60006, 51535, 51966, 51318, 51640, 51103, 51773, 51060, 57497, 51134, 50417, 51378, 51466, 56363, 74525, 50956, 50912, 51929, 52870, 50871, 50978, 51773, 77554, 50997, 51862, 64551, 50857, 52361, 54665, 51234, 51283, 50900, 52081, 50305, 63328, 51101, 51727, 51077, 52327, 51111, 63451, 54228, 50441, 51176, 51391, 66626, 51806, 50447, 50931, 52415, 50312, 50978, 52327, 55079, 51028, 62847, 50891, 52361, 58892, 51640, 51103, 50459, 51966, 51310, 50997, 51212, 50871, 51400, 50906, 51878, 51773, 51215, 57497, 51134, 50417, 51378, 51097, 56363, 52034, 50423, 51040, 50912, 51929, 52639, 66398, 51773, 50897, 50428, 51040, 61957, 50997, 50863, 52361, 56720, 51727, 51077, 50435, 51234, 61567, 50834, 51040, 52415, 50312, 64742, 50937, 52361, 51060, 63451, 79498, 50997, 52514, 50444, 50965, 54847, 66398, 51147, 50810, 70806, 52327, 52396, 51040, 51006, 50453, 50965, 79163, 50825, 52361, 53650, 51176, 54026, 50871, 72893, 61366, 51351, 51966, 51283, 51640, 51103, 51773, 51160, 57497, 51391, 50417, 51378, 50932, 56363, 52518, 50423, 50956, 51254, 51929, 52905, 50906, 52782, 51773, 56865, 50997, 55238, 50956, 50837, 52361, 54002, 51234, 51448, 51040, 51203, 50956, 51267, 50965, 51419, 51727, 51623, 52327, 53585, 51050, 51637, 50441, 50997, 51419, 55513, 51166, 50447, 51040, 56881, 50956, 52920, 50931, 50867, 52327, 52567, 51114, 50870, 53335, 50836, 53997, 61162, 51458, 50324, 65479, 61528, 51376, 54050, 71640, 51338, 61000, 54050, 54579, 51147, 51233, 50965, 51642, 51028, 51423, 51360, 71508, 51481, 51957, 51048, 54050, 71003, 51147, 50870, 54050, 53593, 51147, 50810, 51001, 69179, 51753, 67364, 51338, 51048, 54050, 73824, 50989, 63903, 69666, 78381, 50857, 53335, 60469, 51360, 50835, 51028, 78751, 71357, 50982, 50965, 66876, 51004, 51176, 50870, 51957, 50809, 52327, 79179, 67331, 76599, 78675, 51050, 51550, 51027, 51269, 51132, 51215, 52361, 50991, 62368, 51680, 50871, 51645, 50906, 56615, 51640, 51941, 51773, 51591, 50415, 50997, 54618, 50417, 51360, 51680, 50420, 51378, 52440, 50423, 50997, 55789, 60564, 51965, 50427, 51165, 70316, 78414, 55238, 50956, 51254, 71626, 51737, 57019, 50907, 50440, 50956, 61972, 50997, 65650, 50906, 51297, 50449, 51503, 61567, 50827, 50906, 73658, 50845, 51773, 51798, 51602, 51167, 50452, 51197, 50984, 50455, 52361, 58892, 51234, 51742, 51040, 51412, 51727, 51941, 52361, 51472, 50459, 50956, 51025, 50965, 50981, 51093, 76492, 54197, 53486, 50417, 50997, 52440, 53502, 51166, 50422, 51040, 53220, 50956, 55730, 50900, 55238, 51040, 55799, 51147, 50863, 50965, 56755, 50900, 54492, 50871, 71998, 50917, 51526, 50925, 59849, 50846, 51201, 51697, 50452, 51488, 55778, 50453, 51028, 50841, 51132, 50865, 56416, 56637, 51165, 51330, 50459, 50871, 51400, 50997, 64152, 51807, 50286, 51318, 51640, 51661, 54258, 50807, 57497, 51391, 61240, 51100, 50417, 51378, 52025, 56363, 74525, 50956, 51008, 54050, 50833, 51375, 51269, 50425, 51165, 52482, 60564, 51006, 54258, 50977, 50903, 54013, 50997, 51524, 50431, 51488, 57959, 50956, 50829, 56416, 56565, 66481, 50965, 51665, 50290, 51242, 51040, 50978, 51727, 51226, 51201, 52136, 50435, 59849, 65764, 53219, 51050, 51365, 50798, 51100, 50441, 50997, 52514, 50444, 50965, 56892, 59849, 54255, 51147, 71120, 62221, 59038, 51040, 62290, 63317, 51488, 51166, 50453, 50931, 72471, 50829, 51176, 50904, 68632, 56416, 57461, 54258, 51238, 51165, 51330, 50459, 50871, 60006, 51397, 51966, 51448, 50997, 52063, 51640, 51291, 51528, 50991, 51925, 51077, 50417, 51360, 51542, 50420, 51378, 51481, 50422, 51375, 51210, 50423, 50997, 52048, 54050, 59761, 51165, 51645, 56040, 51212, 54258, 75478, 54694, 51378, 55487, 50906, 50982, 51526, 50820, 56416, 50828, 51488, 59383, 51488, 51108, 50435, 51234, 51101, 62972, 51040, 50874, 60834, 51727, 50807, 56416, 51428, 53442, 51050, 51470, 50798, 51111, 50441, 50997, 57043, 50965, 60966, 51132, 55354, 50931, 68340, 50813, 59362, 59849, 50828, 51201, 56989, 51040, 51254, 50903, 63317, 51526, 50855, 56416, 50818, 51488, 59354, 50871, 66030, 53875, 51176, 61034, 54258, 51112, 51165, 51108, 50459, 50997, 51043, 72302, 50906, 51221, 51966, 51397, 51640, 51448, 51132, 50828, 57497, 53835, 50795, 51925, 51662, 50417, 51378, 51423, 50420, 51360, 75026, 54050, 50828, 51375, 55054, 50965, 57074, 51165, 51328, 56759, 50822, 66768, 54258, 63035, 54056, 51360, 67825, 51844, 50812, 51488, 54150, 51028, 50825, 56416, 56720, 51727, 71941, 54002, 51234, 51203, 50931, 51191, 50965, 50892, 59849, 50983, 51201, 51703, 63451, 57070, 50798, 50991, 50441, 50997, 57940, 50965, 51797, 50447, 51028, 60333, 50931, 61582, 51365, 50903, 53545, 51040, 55835, 50871, 74939, 50841, 59849, 58892, 51600, 57467, 50989, 50835, 51114, 50834, 61371, 55971, 51629, 53486, 53997, 50844, 51147, 63946, 65271, 50937, 51338, 51160, 65358, 57277, 50795, 51925, 51623, 50417, 50900, 53420, 65358, 54446, 51147, 51411, 51360, 50942, 50965, 50933, 51028, 51411, 50931, 52192, 51957, 51112, 65358, 53466, 51176, 58257, 54056, 50871, 52767, 50965, 50864, 65358, 56720, 70644, 51147, 68068, 51085, 50844, 60256, 51338, 51112, 65358, 53351, 53442, 50900, 56630, 51060, 50440, 61371, 50812, 51600, 51074, 50441, 50989, 50891, 50965, 72504, 62780, 63319, 51957, 50887, 51201, 51166, 50447, 51086, 75868, 50912, 50931, 52081, 50293, 50874, 50965, 65301, 50857, 59849, 50808, 51955, 59671, 51488, 52034, 50453, 51028, 71674, 67181, 51665, 50297, 52363, 50301, 51254, 51132, 51235, 56416, 70629, 51165, 52528, 62368, 51790, 50871, 51109, 78766, 50997, 52782, 51640, 51591, 54258, 50865, 51794, 54573, 51925, 51991, 50798, 51158, 50417, 51360, 62557, 51378, 51703, 50423, 50997, 61450, 60564, 51775, 50903, 59974, 50871, 52482, 64551, 51753, 71626, 52048, 56215, 56359, 50906, 51411, 51450, 51060, 50440, 63227, 50443, 50956, 62565, 50997, 69698, 50900, 60637, 52098, 50288, 51008, 50906, 51588, 50295, 51008, 51602, 51158, 54258 ]

[ 0, 250, 15855, 2125, 19, 10, 25306, 619, 6, 42, 2214, 7630, 6568, 41, 3722, 8, 19448, 5466, 4, 20, 2352, 6757, 8, 13305, 45552, 833, 7, 1045, 10, 8728, 33301, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 211, 6, 272, 6, 230, 119, 1176, 406, 6, 8, 272, 3639, 7, 5, 1144, 26016, 13569, 9862, 1328, 5, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50799, 54977, 51112, 54977, 51112, 54602, 51112, 56968, 51112, 50425, 54977, 51112, 54977, 51112, 54602, 68586, 56968, 51112, 50437, 54977, 51112, 55546, 69203, 54602, 51112, 56146, 51112, 50449, 54977, 51112, 57237, 68390, 54602, 51112, 55849, 51112, 50799, 56487, 51112, 57237, 51112, 54602, 51112, 55849, 51112, 50425, 56487, 51112, 55546, 68586, 55010, 50865, 56146, 68178, 57255, 50865, 50437, 54977, 69203, 56487, 51112, 54391, 51112, 56968, 51112, 50449, 56301, 58647, 66205, 50967, 54602, 50967, 54304, 50967, 50799, 66138, 51112, 54977, 51112, 54602, 51112, 54391, 68586, 66138, 51112, 57237, 51112, 54602, 51112, 54391, 51112, 50437, 54304, 69203, 65048, 51112, 55128, 51112, 57255, 68390, 58496, 50967, 54602, 50967, 54391, 50967, 56968, 50967, 50799, 56487, 51091, 54602, 51091, 54391, 51091, 56968, 69467, 56487, 50865, 54602, 50865, 57255, 50865, 54304, 50865, 50437, 56487, 64740, 54602, 51091, 57255, 51091, 54304, 51091, 50799, 54977, 51112, 54602, 51112, 54391, 51112, 56968, 68586, 54977, 51112, 54602, 51112, 54602, 51112, 56968, 69203, 54977, 51112, 55128, 51112, 55010, 51112, 56146, 68390, 54977, 51112, 57237, 51112, 55339, 51112, 55849, 51112, 50799, 56301, 51112, 54977, 51112, 55339, 51112, 55849, 68586, 56301, 51112, 55546, 51112, 55010, 51112, 56146, 69203, 56301, 51112, 57237, 51112, 54602, 51112, 56968, 68390, 56301, 50967, 55128, 50967, 55010, 50967, 54304, 50967, 50799, 56487, 51112, 57237, 51112, 54602, 51112, 54391, 68586, 56487, 51112, 57237, 51112, 54602, 51112, 54391, 69203, 56487, 51112, 55128, 51112, 57255, 51112, 54304, 68390, 56487, 51112, 54602, 51112, 54391, 51112, 56968, 51112, 50799, 56487, 51091, 55128, 51091, 57255, 51091, 54304, 69467, 54977, 50865, 57237, 50865, 54391, 54930, 54977, 51291, 57237, 51291, 54391, 51291, 54391, 51291, 50799, 54977, 51112, 54977, 51112, 54602, 51112, 56968, 51112, 50900, 51112, 50900, 68905, 51112, 50968, 51112, 50425, 54977, 51112, 54977, 51112, 54602, 51112, 50900, 51112, 50900, 68905, 68586, 56968, 51112, 50968, 51112, 50437, 54977, 51112, 55546, 51112, 50900, 51112, 50899, 69203, 54602, 51112, 56146, 68905, 51112, 50931, 51112, 50449, 54977, 51112, 57237, 51112, 50900, 51112, 50916, 68390, 54602, 51112, 55849, 68905, 51112, 50951, 51112, 50799, 56487, 51112, 57237, 51112, 54602, 51112, 55849, 51112, 51026, 51112, 50916, 68905, 51112, 50951, 51112, 50425, 56487, 51112, 55546, 51112, 51026, 51112, 50899, 68586, 55010, 50865, 56146, 77949, 71389, 68178, 57255, 77607, 50865, 50437, 54977, 51112, 50900, 69203, 56487, 51112, 54391, 51112, 56968, 51112, 51026, 74250, 51112, 50968, 51112, 50449, 56301, 50967, 51050, 58647, 66205, 50967, 54602, 50967, 54304, 50967, 51086, 66332, 50967, 65338, 50799, 66138, 51112, 54977, 51112, 54602, 51112, 54391, 51112, 51315, 51112, 50900, 68905, 74250, 68586, 66138, 51112, 57237, 51112, 54602, 51112, 54391, 51112, 51315, 51112, 50916, 68905, 74250, 51112, 50437, 54304, 51112, 50902, 69203, 65048, 51112, 55128, 51112, 57255, 51112, 51120, 51112, 50871, 51112, 50973, 68390, 58496, 50967, 54602, 50967, 54391, 50967, 56968, 50967, 51085, 66332, 78022, 76252, 50799, 56487, 51091, 54602, 51091, 54391, 51091, 56968, 51091, 51026, 51091, 50861, 73494, 51091, 50968, 69467, 56487, 50865, 54602, 50865, 57255, 50865, 54304, 51828, 50299, 62111, 77607, 70459, 50865, 50437, 56487, 51091, 51026, 64740, 54602, 51091, 57255, 51091, 54304, 51091, 50861, 51091, 50973, 51091, 50902, 51091, 50799, 54977, 51112, 54602, 51112, 54391, 51112, 56968, 51112, 50900, 68905, 74250, 51112, 50968, 68586, 54977, 51112, 54602, 51112, 54602, 51112, 56968, 51112, 50900, 68905, 68905, 51112, 50968, 69203, 54977, 51112, 55128, 51112, 55010, 51112, 56146, 51112, 50900, 51112, 50871, 77949, 51112, 50931, 68390, 54977, 51112, 57237, 51112, 55339, 51112, 55849, 51112, 50900, 51112, 50916, 51112, 50906, 51112, 50951, 51112, 50799, 56301, 51112, 54977, 51112, 55339, 51112, 55849, 51112, 51050, 51112, 50900, 51112, 50906, 51112, 50951, 68586, 56301, 51112, 55546, 51112, 55010, 51112, 56146, 51112, 51050, 51112, 50899, 77949, 51112, 50931, 69203, 56301, 51112, 57237, 51112, 54602, 51112, 56968, 51112, 51050, 51112, 50916, 68905, 51112, 50968, 68390, 56301, 50967, 55128, 50967, 55010, 50967, 54304, 50967, 51050, 74583, 70897, 50967, 65338, 50799, 56487, 51112, 57237, 51112, 54602, 51112, 54391, 51112, 51026, 51112, 50916, 68905, 74250, 68586, 56487, 51112, 57237, 51112, 54602, 51112, 54391, 51112, 51026, 51112, 50916, 68905, 74250, 69203, 56487, 51112, 55128, 51112, 57255, 51112, 54304, 51112, 51026, 51112, 50871, 51112, 50973, 51112, 50902, 68390, 56487, 51112, 54602, 51112, 54391, 51112, 56968, 51112, 51026, 68905, 74250, 51112, 50968, 51112, 50799, 56487, 51091, 55128, 51091, 57255, 51091, 54304, 51091, 51026, 51091, 50871, 51091, 50973, 51091, 50902, 69467, 54977, 50865, 57237, 50865, 54391, 74824, 69616, 61816, 54930, 54977, 51291, 57237, 51291, 54391, 51291, 54391, 51291, 50900, 51291, 50916, 51291, 75977, 75977, 50799, 56487, 51112, 54602, 51112, 57255, 51112, 54304, 51112, 51026, 68905, 51112, 50973, 51112, 50902, 68586, 56487, 51112, 66205, 51112, 54602, 51112, 54304, 51112, 51026, 51112, 51086, 68905, 51112, 50902, 69203, 56487, 51112, 54977, 51112, 54602, 51112, 56968, 51112, 51026, 51112, 50900, 68905, 51112, 50968, 68390, 56487, 51112, 57237, 51112, 54391, 51112, 54391, 51112, 51026, 51112, 50916, 74250, 74250, 51112, 50799, 56487, 51112, 55128, 51112, 57255, 51112, 54304, 51112, 51026, 51112, 50871, 51112, 50973, 51112, 50902, 68586, 57237, 50865, 54391, 50865, 56968, 50865, 56487, 51112, 50916, 61816, 51828, 50320, 51828, 50299, 68178, 55546, 50865, 57255, 50865, 56146, 67738, 77607, 71389, 54930, 56487, 51112, 54977, 51112, 54391, 51112, 56968, 51112, 51026, 51112, 50900, 74250, 51112, 50968, 68390, 56487, 50967, 57237, 50967, 54391, 50967, 54391, 50967, 51026, 75569, 78022, 63830, 50799, 57255, 50967, 54304, 50967, 56487, 51112, 55128, 51112, 76699, 65338, 51026, 51112, 50871, 68586, 57237, 50865, 56968, 50865, 57255, 50967, 56487, 51112, 50916, 51828, 50320, 77607, 50967, 51026, 68178, 55546, 50865, 56146, 67738, 71389, 54930, 57255, 50967, 56968, 50967, 57483, 51112, 57237, 51112, 76699, 76252, 51176, 51112, 50916, 68390, 56283, 50967, 54304, 50967, 66138, 51112, 57237, 51112, 50965, 50967, 65338, 51315, 51112, 50916, 51112, 50799, 55010, 50865, 57862, 51112, 57237, 51112, 54391, 77949, 51828, 50301, 51112, 50916, 74250, 76260, 54602, 62111, 54919, 55546, 50865, 65048, 51112, 57719, 51112, 54304, 51112, 50899, 51828, 50294, 51112, 50989, 51112, 50902, 68178, 54977, 74824, 54930, 56487, 51091, 66205, 51091, 54602, 51091, 54602, 51091, 51026, 51091, 51086, 51091, 50861, 51091, 50861, 51091, 50799, 54977, 51112, 54977, 51112, 54602, 51112, 56968, 51112, 50900, 51112, 50900, 68905, 51112, 50968, 51112, 50425, 54977, 51112, 50900, 68586, 54602, 51112, 54602, 51112, 56968, 68905, 68905, 51112, 50968, 69203, 54977, 51112, 55128, 51112, 55010, 51112, 56146, 51112, 50900, 51112, 50871, 77949, 51112, 50931, 68390, 54977, 51112, 57237, 51112, 55339, 51112, 55849, 51112, 50900, 51112, 50916, 51112, 50906, 51112, 50951, 51112, 50799, 56301, 51112, 54977, 51112, 55339, 51112 ]

[ 0, 250, 2635, 12, 20764, 6, 15352, 30054, 3495, 2125, 14, 7630, 6568, 10, 1619, 5466, 6, 4246, 10, 13305, 483, 7513, 30, 10, 6755, 12547, 6, 3459, 9590, 6, 21979, 8669, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 8787, 15229, 16, 17407, 30, 10, 19983, 33215, 16739, 9, 274, 6, 163, 428, 73, 597, 6, 274, 6, 8, 163, 428, 6, 2351, 10, 19448, 8, 5679, 26709, 13569, 9862, 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 ]

[ 57128, 65364, 51151, 51198, 52222, 51144, 51293, 51948, 50892, 51837, 51623, 50417, 52353, 51623, 50420, 51948, 52069, 50423, 55374, 51933, 50444, 51837, 51204, 52709, 51362, 50447, 52353, 70269, 51435, 51116, 50453, 51153, 69960, 51275, 60977, 51435, 50810, 51948, 50808, 65364, 51293, 51561, 51243, 51099, 51742, 51639, 51790, 50417, 51435, 51894, 50420, 51516, 51742, 50423, 51948, 51486, 50441, 51099, 51204, 50444, 51639, 51116, 50447, 51308, 55441, 51516, 51055, 50453, 51639, 69780, 51099, 51177, 50459, 52746, 50810, 51280, 50810, 59649, 51077, 71726, 53038, 51077, 50417, 51308, 51397, 50420, 51198, 51310, 50423, 51144, 71380, 53038, 51148, 51144, 50974, 51153, 51145, 50441, 51275, 79887, 51144, 57060, 51198, 57197, 68365, 51308, 63433, 51099, 59592, 51144, 66458, 51198, 50854, 64955, 51080, 51869, 51183, 51561, 51203, 50417, 51144, 70506, 51706, 51391, 50423, 51561, 51391, 50435, 51706, 52788, 53038, 50932, 51869, 50981, 51706, 51363, 51561, 69151, 51144, 70595, 51561, 60469, 51706, 52848, 53038, 51253, 51869, 51267, 51706, 51221, 51561, 61157, 51144, 66947, 51561, 74238, 51706, 50862, 64955, 51397, 51876, 51148, 51706, 50981, 51198, 51109, 51144, 51056, 55172, 56308, 54717, 62609, 55978, 66898, 50960, 54745, 50970, 64002, 51706, 51267, 51198, 51003, 73322, 50970, 51736, 50960, 53307, 50929, 54930, 51561, 51363, 53038, 51159, 51706, 51203, 51099, 51221, 63017, 62609, 55114, 56308, 50441, 78234, 50447, 51706, 51363, 51561, 51412, 51099, 67081, 53038, 51025, 50929, 55037, 51706, 50987, 51561, 50977, 51099, 50938, 51246, 54421, 50960, 59700, 50986, 50841, 64955, 51151, 51876, 51047, 51144, 51203, 51706, 50857, 51198, 51295, 55172, 64880, 54717, 64880, 50960, 51178, 50420, 51706, 51749, 50423, 51144, 50905, 51275, 51941, 50426, 51308, 71714, 51144, 57421, 51198, 51623, 51308, 51896, 50438, 51876, 51191, 50441, 51706, 50805, 51144, 67636, 51706, 50873, 67334, 51280, 50991, 50453, 51876, 51221, 51706, 52863, 51706, 50974, 51280, 62533, 51198, 50822, 64955, 51413, 51561, 51221, 51099, 51116, 51706, 50857, 63017, 64880, 55114, 58306, 50420, 51706, 54252, 51706, 51203, 51561, 51134, 51099, 51218, 50432, 51706, 65867, 53038, 51127, 51246, 53574, 51706, 50987, 51561, 50977, 51308, 50918, 51064, 64142, 51099, 53969, 51706, 50854, 51561, 50833, 51064, 57782, 51099, 51157, 51706, 50805, 51561, 51238, 50947, 68454, 51706, 51233, 50929, 58603, 51561, 60977, 80062, 78234, 64955, 52071, 51876, 51391, 51706, 50857, 51198, 51115, 51144, 51203, 55172, 64880, 54717, 50363, 50412, 50417, 50970, 55689, 51706, 51448, 50423, 79632, 51275, 52266, 50960, 61521, 50986, 52639, 51308, 75241, 50960, 51312, 50429, 51876, 51417, 51144, 54259, 51198, 50918, 51308, 51896, 50435, 51144, 69151, 51706, 50873, 51144, 53658, 51706, 50845, 51144, 56508, 51876, 51267, 50453, 51706, 54194, 51198, 50977, 51706, 72993, 51144, 50840, 67094, 51538, 51708, 50834, 51280, 51221, 51144, 51115, 54628, 63309, 55074, 63309, 69943, 50417, 57134, 50420, 51708, 58846, 71662, 51280, 50901, 51153, 51356, 51257, 53935, 51708, 51591, 51164, 74957, 51280, 70879, 59780, 51280, 50984, 72595, 51037, 60157, 51280, 50873, 51144, 51235, 51119, 50918, 50885, 52599, 50970, 69120, 50952, 50441, 51280, 50845, 50960, 58433, 63634, 79633, 50970, 51073, 50939, 54803, 51280, 50795, 51144, 51235, 51153, 51362, 50909, 54185, 52537, 50889, 51007, 74505, 51280, 50854, 51708, 51124, 50909, 58774, 51280, 50845, 51144, 50879, 50960, 51033, 50939, 65841, 66491, 51064, 51054, 50850, 50812, 71803, 51486, 51869, 51189, 51198, 50840, 51099, 50991, 51308, 51413, 55172, 63309, 55114, 55275, 55978, 63309, 50847, 68282, 51198, 51412, 50423, 51706, 51199, 51099, 51422, 50929, 69555, 50988, 77554, 51198, 51006, 50946, 59780, 51037, 66859, 51869, 51413, 51706, 50849, 51198, 51255, 51308, 77207, 52788, 50988, 50897, 50441, 51706, 59324, 69877, 51198, 50844, 51037, 77302, 51706, 50901, 51198, 51116, 51308, 51226, 50946, 54823, 53366, 51159, 50988, 51645, 50453, 51706, 52955, 51869, 50901, 51706, 51376, 51198, 50805, 50960, 57264, 67767, 51136, 50887, 62404, 51127, 51708, 51127, 51198, 50855, 51144, 51141, 51119, 51191, 55172, 61124, 54717, 53801, 54628, 61124, 50970, 61060, 50970, 51215, 50420, 51198, 54252, 51198, 51097, 51275, 78797, 50970, 65708, 51119, 66440, 51144, 50924, 50960, 56535, 51198, 50810, 50929, 50924, 51171, 56360, 52746, 51077, 51561, 50849, 51099, 51189, 63017, 66595, 55114, 66595, 55978, 55856, 51751, 52831, 51706, 50901, 50970, 50895, 51164, 69877, 51561, 50810, 50970, 51175, 50988, 57904, 51706, 51095, 51561, 50967, 51308, 51090, 50946, 53068, 50979, 52809, 50970, 67981, 59631, 51706, 51177, 51561, 50845, 51099, 55196, 57651, 50960, 56263, 50828, 58637, 51145, 51869, 51047, 51280, 51412, 51561, 51203, 51099, 51221, 69196, 50417, 51136, 59072, 51008, 50419, 65498, 51298, 54351, 50986, 50943, 50423, 51280, 51203, 51561, 51203, 51099, 51116, 51007, 58382, 50909, 58191, 51280, 50901, 51561, 50901, 51099, 58649, 53219, 51964, 51127, 51869, 51127, 51280, 50901, 51561, 50901, 51099, 51124, 51308, 51116, 76858, 59352, 51280, 50822, 51561, 51123, 50939, 56112, 51280, 51363, 51561, 51203, 51099, 51203, 51308, 51203, 50451, 50939, 80049, 50847, 52955, 51561, 50987, 51099, 50987, 51308, 50987, 51280, 50978, 50457, 56371, 50460, 50979, 50800, 65364, 51077, 53038, 51472, 51876, 50991, 51198, 51291, 51144, 51336, 55172, 53801, 54717, 61124, 50960, 68061, 73552, 50417, 50970, 51073, 50423, 51876, 51362, 50426, 51308, 50879, 51153, 51073, 51435, 51454, 50429, 51275, 66440, 51308, 74387, 53038, 51336, 51706, 50862, 51561, 51255, 51099, 51116, 63017, 53801, 55114, 53801, 50929, 58040, 51706, 50892, 50929, 51173, 50447, 51706, 50805, 51561, 51238, 51099, 58833, 50929, 68454, 51706, 71834, 51561, 50974, 51246, 67667, 67767, 64955, 51336, 51876, 51238, 51706, 50862, 51198, 50889, 73322, 55172, 63309, 54717, 63309, 50960, 61060, 50960, 51238, 50420, 51706, 58861, 51876, 55973, 51706, 50879, 51198, 50896, 51144, 59984, 51706, 57045, 57907, 51876, 50830, 50848, 59983, 53038, 51460, 51706, 50841, 51561, 50806, 51144, 61346, 50921, 50441, 51706, 55200, 51561, 50955, 51144, 50851, 62062, 50447, 53038, 51362, 51706, 50808, 51198, 51160, 51144, 51090, 50885, 51757, 50946, 64870, 51706, 62436, 61703, 51876, 50849, 51706, 50892, 51198, 58057, 73316, 51144, 50800, 79921, 51161, 51706, 50849, 51561, 51116, 51099, 51116, 63017, 63309, 55114, 63309, 51037, 51423, 50420, 51706, 54347, 51706, 50892, 51561, 51003, 51099, 51077, 50988, 52654, 51164, 50910, 50429, 51706, 66317, 59780, 51037, 66859, 51706, 50805, 51561, 50807, 51308, 51336, 51246, 71479, 52781, 51064, 50940, 50979, 51411, 50441, 51706, 55945, 51064, 54787, 51706, 50893, 51561, 51160, 51099, 51090, 50947, 52610, 52746, 51566, 50979, 51221, 50453, 51706, 50800, 50929, 54647, 51561, 50806, 51706, 50838, 50929, 67667, 51099, 50800, 64955, 51291, 51876, 50807, 51706, 50809, 51198, 51235, 51144, 51661, 55172, 64880, 54717, 66898, 50970, 61000, 51706, 54347, 51706, 51079, 51198, 50914, 50960, 60892, 60580, 50939, 57630, 51876, 51077, 50960, 51377, 50429, 51706, 59183, 53974, 51706, 50844, 51280, 50918, 50909, 55098, 53038, 51336, 51706, 50879, 51198, 51054, 51144, 61287, 50872, 54134 ]

[ 0, 250, 15352, 30054, 8, 20425, 5175, 2125, 19, 15855, 16882, 6, 4246, 10, 13305, 816, 11, 10, 7212, 20889, 4, 8504, 11, 5, 762, 9, 230, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 1186, 9, 8597, 31, 11098, 7, 10, 11602, 9, 15073, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 20, 33215, 16739, 9, 272, 8, 211, 406, 3639, 7, 63, 13363, 28191, 2574, 6, 70, 624, 10, 6561, 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 ]

[ 54458, 67004, 77670, 50416, 51146, 62016, 51430, 55772, 51050, 72388, 62447, 51911, 50333, 57648, 51062, 51534, 51050, 52026, 50301, 52026, 50304, 74244, 50931, 53086, 51050, 51965, 51027, 51965, 50900, 51477, 50999, 51115, 61245, 50951, 53004, 51050, 72388, 62447, 65910, 57648, 50902, 51534, 51050, 52026, 50302, 73790, 50981, 61245, 50876, 53004, 51050, 51965, 51027, 51965, 50900, 51318, 50931, 51115, 51057, 51062, 71768, 51146, 62016, 51430, 55772, 51050, 72388, 62447, 51911, 50333, 57648, 51062, 51534, 51050, 52026, 50301, 52026, 50304, 50995, 61245, 50931, 53004, 51050, 51965, 51027, 51965, 50900, 51477, 50999, 51283, 61245, 50951, 53004, 51050, 72388, 62447, 65910, 57648, 50902, 51534, 51050, 52026, 50302, 73790, 50981, 61245, 50876, 53004, 51050, 51965, 51027, 51965, 50900, 51318, 50931, 51283, 52323, 50876, 52056, 60643, 63348, 51330, 63809, 51806, 50900, 51380, 50968, 52056, 75040, 69476, 64196, 52034, 56945, 68996, 69596, 50951, 54504, 51050, 74992, 52188, 74769, 68996, 65867, 50999, 50907, 51057, 50999, 50907, 51027, 69476, 50905, 50418, 50951, 54964, 51027, 68996, 64369, 55752, 51085, 68545, 52188, 50432, 51315, 52104, 50299, 68996, 65867, 71985, 51057, 71985, 51315, 51853, 50299, 69476, 50905, 50418, 50931, 54964, 51315, 52104, 50299, 68996, 67919, 55752, 51050, 64369, 52188, 74769, 68996, 60282, 50931, 50907, 51057, 50931, 50907, 51050, 50974, 50418, 50968, 54964, 50997, 67088, 60379, 55752, 51050, 58722, 56427, 51027, 68996, 67919, 51074, 75040, 69476, 64196, 52034, 56945, 68996, 69596, 50951, 54504, 51050, 74992, 52188, 74769, 68996, 65867, 50999, 50907, 51057, 50999, 50907, 51027, 69476, 50905, 50418, 50951, 54964, 51027, 61528, 57643, 55752, 51085, 62447, 71278, 53164, 50328, 51108, 51057, 50951, 71451, 68186, 64897, 60115, 50999, 56237, 71985, 53645, 51965, 50877, 51318, 50931, 52136, 52076, 56546, 51109, 51062, 51159, 63451, 63348, 51734, 50328, 50807, 75040, 68996, 67919, 51455, 50332, 52864, 51027, 69476, 64196, 51255, 51339, 50991, 57025, 68996, 71714, 65111, 51487, 52559, 51050, 74992, 51377, 51814, 51112, 75040, 68996, 80253, 68829, 51814, 52871, 50999, 50854, 51814, 71244, 69476, 50905, 50424, 65111, 51487, 52450, 51027, 68996, 64369, 51455, 50333, 52605, 51085, 68545, 51377, 51487, 51112, 51057, 51315, 52104, 50299, 68996, 80253, 65111, 51487, 52871, 73762, 51487, 50800, 51315, 51853, 50299, 69476, 50905, 50424, 61196, 51339, 52450, 51315, 52104, 50299, 68996, 67919, 51455, 50332, 52605, 51050, 64369, 51377, 51339, 51112, 75040, 68996, 67943, 61196, 51339, 52871, 70892, 51339, 77036, 50974, 50424, 60300, 51430, 52450, 50997, 67088, 60379, 51455, 50330, 52605, 51050, 58722, 70553, 50795, 75040, 68996, 67919, 51455, 50332, 52864, 51027, 69476, 64196, 51255, 51339, 50991, 57025, 68996, 71714, 65111, 51487, 52559, 51050, 74992, 51377, 51814, 51112, 75040, 68996, 80253, 68829, 51814, 52871, 50999, 50854, 51814, 71244, 69476, 50905, 50424, 65111, 51487, 52450, 51027, 61528, 57643, 51455, 50333, 52605, 51085, 62447, 71278, 52530, 50328, 51237, 72698, 50951, 69214, 68186, 64897, 58326, 50999, 56274, 50951, 53627, 50871, 51965, 50877, 51318, 50931, 51218, 52076, 62204, 52056, 67870, 64369, 63922, 50999, 50907, 51027, 68996, 69596, 51081, 54504, 51062, 51210, 51027, 69476, 50905, 50430, 51081, 54661, 50999, 50907, 51027, 68996, 65867, 50951, 51123, 51057, 50951, 51210, 51085, 50974, 50418, 50999, 51210, 50420, 51081, 51210, 50900, 75675, 69596, 51062, 57252, 51146, 51210, 50900, 67336, 50905, 50430, 51062, 54661, 51081, 50907, 50900, 75675, 65867, 50951, 51123, 51057, 50931, 51210, 51050, 50974, 50418, 50951, 51210, 50420, 50999, 51210, 51027, 68996, 69596, 51081, 57252, 51062, 51210, 51027, 69476, 50905, 50430, 51081, 54661, 50999, 51123, 51027, 68996, 65867, 50931, 50907, 51057, 50951, 51210, 51085, 50974, 50418, 51081, 51210, 50420, 50999, 51210, 51026, 68996, 69596, 50951, 57252, 50931, 51210, 51026, 69476, 50905, 50430, 50968, 54661, 75643, 51026, 68996, 65867, 50876, 51123, 51057, 50931, 51210, 51050, 50974, 50418, 50951, 51210, 50420, 50999, 51210, 51027, 68996, 69596, 51081, 64586, 51062, 51210, 51027, 69476, 50905, 50430, 51081, 54661, 50999, 50907, 51027, 68996, 65867, 50931, 51123, 51057, 50951, 51210, 51085, 50974, 50418, 50999, 51210, 50420, 51081, 51210, 51026, 68996, 69596, 51062, 64586, 51146, 51210, 51026, 69476, 50905, 50430, 51062, 54661, 51081, 50907, 51026, 68996, 65867, 50951, 51123, 51057, 50931, 51210, 51050, 50974, 50418, 50968, 51123, 50951, 55650, 50931, 50907, 50997, 67088, 61544, 50902, 54504, 51050, 58722, 52034, 74769, 68996, 60282, 51146, 50907, 51057, 51062, 51210, 51085, 50974, 50418, 51081, 51210, 50420, 50999, 51210, 50900, 75675, 72397, 61544, 50951, 57252, 50931, 50907, 50916, 60242, 54100, 50876, 51074, 67870, 62377, 52864, 71717, 51027, 63327, 57572, 51081, 53049, 51062, 50925, 51050, 50849, 50430, 51081, 53627, 71717, 51027, 63327, 57807, 70892, 51057, 79386, 51085, 50849, 50418, 50999, 60872, 51081, 50925, 50900, 61432, 59573, 51062, 53906, 51146, 50925, 50900, 59487, 50805, 50430, 51062, 53627, 51081, 72474, 61432, 58926, 73762, 51057, 73955, 51050, 50849, 50418, 50951, 60872, 50999, 50925, 51027, 63327, 57572, 51081, 53906, 51062, 50925, 51050, 50849, 50430, 51081, 53627, 71717, 51027, 63327, 57807, 73762, 51057, 79386, 51085, 50849, 50418, 51081, 60872, 50999, 50925, 51026, 63327, 61432, 59573, 50951, 53906, 73955, 51026, 60259, 59487, 50805, 50430, 50968, 53627, 64062, 51026, 63327, 61432, 58926, 62504, 51057, 73955, 51050, 50849, 50418, 50951, 60872, 50999, 50925, 51027, 63327, 57572, 51081, 53906, 51062, 50925, 51050, 50849, 50430, 51081, 53627, 71717, 51027, 63327, 57807, 70892, 51057, 79386, 51085, 50849, 50418, 50999, 60872, 51081, 50925, 51026, 63327, 61432, 59573, 51062, 53906, 51146, 50925, 51026, 60259, 59487, 50805, 50430, 51062, 53627, 75490, 51026, 63327, 61432, 58926, 73762, 51057, 73955, 51050, 50849, 50418, 76171, 50951, 54878, 66771, 50997, 59537, 57572, 50902, 53049, 51050, 58681, 65903, 51027, 63327, 57807, 51146, 50833, 52323, 51062, 51178, 51085, 50914, 50422, 51081, 63559, 50999, 51121, 50900, 72155, 51109, 50906, 51157, 50432, 50951, 60592, 50931, 57911, 68721, 51157, 52323, 50637, 50951, 50937, 50418, 50999, 65944, 51220, 53906, 51085, 51734, 50299, 65065, 66950, 51734, 50328, 50889, 68176, 74682, 62530, 65544, 71116, 52483, 51085, 60581, 61552, 70553, 50805, 51057, 51062, 55099, 50951, 54588, 50968, 53049, 51085, 67891, 51432, 56014, 52858, 50308, 67707, 64900, 51387, 51057, 64041, 50900, 52858, 50308, 67707, 51079, 80121, 54964, 77936, 50900, 52858, 50308, 67707, 75741, 50931, 57252, 51085, 72895, 51079, 56014, 52858, 50308, 67707, 74337, 51074, 63188, 52858, 50308, 67707, 72895, 51074, 53502, 52858, 50308, 67707, 72713, 55752, 51085, 52104, 50325, 51079, 56014, 52858, 50309, 77882, 51074, 63188, 52858, 50309, 73276, 51074, 53502, 52858, 50308, 72895, 55752, 51085, 52104, 50325, 52188, 56014, 52858, 50309, 79670, 75256, 71985, 51057, 50999, 51210, 50900, 52858, 50309, 79670, 51079, 50418, 51220, 54964, 51062, 50907, 50900, 52858, 50309, 79670, 75741, 51146, 57252, 51085, 51519, 50332, 51274, 56014, 61432, 57348, 50849, 63188, 59487, 57864, 52864 ]

[ 0, 713, 15352, 30054, 5175, 3495, 2214, 6, 278, 11, 10, 155, 73, 306, 86, 6543, 8, 163, 538, 762, 6, 1575, 3459, 8, 21979, 29589, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 590, 10, 1769, 20889, 9, 16157, 13410, 228, 2289, 6, 24, 7630, 6568, 10, 1372, 8, 20425, 6711, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 20, 33215, 16739, 9, 163, 6, 381, 401, 6, 8, 274, 10431, 4620, 5, 46336, 24456, 9, 42, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 75571, 50920, 55085, 50920, 65933, 50920, 53961, 50920, 71552, 50920, 55040, 50920, 51470, 51034, 50920, 55085, 50920, 65933, 50920, 53961, 50920, 71552, 50920, 55040, 50920, 51470, 51034, 50920, 55085, 50920, 65933, 50920, 53961, 50920, 71552, 50920, 55040, 50920, 51470, 51034, 50920, 55085, 50920, 65933, 50920, 53961, 50920, 71552, 50920, 55040, 50920, 51470, 51034, 51726, 65056, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 51726, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 51726, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 52899, 75243, 50866, 51957, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 52331, 70572, 62297, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 75243, 50866, 51857, 64691, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 53180, 70572, 62297, 55085, 51545, 75243, 65933, 51513, 75243, 53961, 51659, 75243, 51470, 51857, 53264, 51513, 75243, 50866, 51957, 53999, 51545, 75243, 51470, 51533, 50845, 51034, 51726, 65056, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 51726, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 51726, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 52899, 75243, 50866, 51957, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 52331, 70572, 62297, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 75243, 50866, 51857, 64691, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 53180, 70572, 62297, 55085, 51545, 75243, 65933, 51513, 75243, 53961, 51659, 75243, 51470, 51857, 53264, 51513, 75243, 50866, 51957, 53999, 51545, 75243, 51470, 51533, 50845, 51034, 51726, 65056, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 51726, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 51726, 75243, 50866, 51374, 52919, 50420, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 51726, 70572, 62297, 55085, 51350, 75243, 65933, 51781, 75243, 53961, 51355, 75243, 71552, 51781, 75243, 55040, 51350, 75243, 51470, 51034, 52331, 75243, 50866, 51844, 51452, 50420, 51729, 75243, 65933, 51659, 75243, 53961, 51781, 75243, 71552, 51659, 75243, 55040, 51729, 75243, 51470, 51034, 53180, 70572, 62297, 50866, 51857, 51452, 50420, 51545, 75243, 65933, 51350, 75243, 53961, 51659, 75243, 71552, 51350, 75243, 55040, 51545, 75243, 51470, 51034, 52899 ]

[ 0, 713, 5175, 2214, 6, 19, 10, 11602, 9, 14123, 3495, 6, 16, 10, 15352, 30054, 8, 19448, 2125, 14, 115, 28, 3520, 11, 10, 822, 50, 6717, 4, 85, 18, 278, 11, 10, 7212, 204, 73, 306, 20889, 8, 702, 11, 5, 762, 9, 211, 3694, 4, 20, 15229, 1575, 41, 21979, 8669, 6, 32909, 6, 31391, 1672, 9590, 6, 17605, 9590, 6, 8, 2342, 4467, 6, 2351, 10, 3366, 219, 5466, 4, 20, 33215, 16739, 9, 83, 406, 6, 211, 119, 6, 163, 119, 401, 6, 83, 406, 6, 8, 211, 119, 3639, 7, 5, 2214, 18, 32625, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 50456, 56514, 50894, 54594, 64237, 64134, 51604, 50287, 67899, 54397, 70560, 55927, 50861, 62774, 62378, 55171, 53829, 62678, 51081, 52668, 55893, 51214, 50809, 51026, 61368, 61752, 59086, 66340, 50859, 51062, 52668, 50384, 54176, 55229, 51799, 51167, 51120, 50967, 51081, 51059, 51146, 51541, 50832, 71460, 54660, 50861, 62378, 61666, 53742, 50855, 56096, 62225, 50832, 55048, 52359, 50861, 64237, 64134, 55171, 67980, 50832, 73312, 50832, 55607, 50949, 52224, 50387, 53967, 53442, 50861, 60334, 59086, 76548, 52545, 50299, 60662, 70560, 55201, 51062, 50882, 50999, 66224, 53806, 50861, 65633, 64026, 50811, 59139, 51081, 52668, 55888, 51214, 52386, 50299, 54191, 50321, 50894, 50999, 52668, 50383, 54176, 55245, 50861, 65633, 59086, 61665, 50859, 69084, 51799, 51427, 51120, 51238, 50832, 50383, 53967, 55079, 50861, 78176, 64134, 50827, 71094, 50931, 54413, 50387, 53967, 50846, 56584, 60233, 50832, 52270, 53685, 50876, 52640, 50319, 52668, 70000, 50832, 64963, 50832, 52683, 57841, 50861, 66548, 67904, 60334, 50821, 50902, 52668, 50387, 53967, 50846, 55524, 50908, 50861, 59903, 76277, 51609, 50289, 52370, 50301, 63681, 51427, 50832, 70560, 55927, 51028, 74825, 50907, 50861, 54090, 53829, 50832, 55893, 51279, 51804, 50301, 68877, 61549, 66030, 70356, 52195, 50832, 50384, 54176, 55229, 51841, 51460, 51315, 51235, 50832, 71460, 54660, 50916, 60097, 68218, 53742, 50855, 56096, 62225, 50832, 55048, 52359, 50861, 74825, 50912, 51028, 56706, 67980, 50832, 73312, 50832, 55607, 50949, 52224, 50387, 53967, 53442, 50916, 61549, 66030, 51537, 50289, 51286, 51027, 51158, 50832, 70560, 50846, 52260, 53806, 64385, 57660, 51028, 54090, 55888, 51279, 50858, 51027, 53791, 50383, 54176, 55245, 50916, 60097, 68218, 51954, 50284, 51160, 51315, 78974, 50383, 53967, 55079, 50861, 68666, 78178, 58071, 50387, 53967, 50846, 56584, 60233, 50832, 52270, 53685, 50951, 66036, 70000, 50832, 64963, 50832, 52683, 57841, 50861, 50835, 51028, 65534, 72504, 51160, 50832, 50387, 53967, 50846, 54206, 73663, 62055, 62869, 51609, 50282, 51286, 51120, 51158, 50832, 70560, 55927, 50989, 64743, 67954, 50912, 50877, 56786, 53829, 51405, 51661, 50832, 55893, 50989, 64743, 51764, 50282, 72800, 63891, 50874, 50877, 53255, 50384, 54176, 55229, 51279, 51160, 51027, 78974, 71460, 54660, 50876, 76875, 59903, 68469, 55171, 50855, 56096, 62225, 50832, 55048, 52359, 50899, 70202, 71328, 50851, 50877, 55171, 67980, 50832, 73312, 50832, 55607, 50949, 52224, 50387, 53967, 53442, 50899, 73663, 62821, 62141, 51609, 50282, 51158, 51120, 79195, 70560, 50846, 52260, 53806, 50989, 62869, 68469, 50827, 50877, 53255, 55888, 51799, 51731, 50294, 54101, 50383, 54176, 55245, 50876, 70883, 67572, 62821, 51537, 50289, 51460, 51027, 51235, 50832, 50383, 53967, 55079, 50989, 64743, 67954, 50851, 61825, 51146, 52668, 50387, 53967, 50846, 56584, 60233, 50832, 52270, 53685, 51062, 53696, 70000, 50832, 64963, 50832, 52683, 57841, 50877, 50870, 50899, 67572, 62869, 51764, 50328, 51055, 50832, 50387, 53967, 50846, 54206, 52666, 50311, 61752, 78490, 51158, 51026, 51100, 77550, 50832, 70560, 55927, 50861, 65789, 50907, 50906, 55171, 53829, 50832, 55893, 51214, 51689, 50299, 69662, 61549, 60334, 50844, 51081, 51286, 50832, 50384, 54176, 55229, 50906, 51427, 51799, 51603, 51120, 51227, 50832, 71460, 54660, 50861, 60334, 68218, 69858, 59694, 50855, 56096, 62225, 50832, 55048, 52359, 59663, 70181, 50902, 66034, 67980, 50832, 73312, 50832, 55607, 50949, 52224, 50387, 53967, 53442, 64410, 60569, 67331, 51279, 51158, 51027, 51100, 50906, 51427, 51081, 51427, 50832, 70560, 50846, 52260, 53806, 50861, 64607, 50874, 51028, 53255, 55888, 51279, 78493, 67884, 65274, 51286, 50832, 50383, 54176, 55245, 50899, 51962, 50310, 61976, 62245, 52415, 50282, 51167, 51120, 61175, 50383, 53967, 50949, 52145, 50949, 56584, 60233, 50832, 52270, 53685, 50832, 70000, 50832, 64963, 50832, 52683, 57841, 51081, 55466, 70560, 50949, 54594, 65633, 61666, 76548, 67899, 54397, 70560, 55927, 50861, 64237, 74197, 50851, 51081, 52827, 50832, 53829, 50832, 55893, 51214, 51731, 50299, 60924, 65633, 59086, 53739, 50384, 54176, 55229, 51799, 50980, 51120, 51112, 50832, 71460, 54660, 50861, 65633, 58089, 55083, 50855, 56096, 62225, 50832, 55048, 52359, 50861, 53529, 50314, 74197, 56786, 67980, 50832, 73312, 50832, 55607, 50949, 52224, 50387, 53967, 53442, 50861, 61752, 59086, 76548, 51286, 51026, 51158, 50832, 70560, 50846, 52260, 53806, 50861, 62378, 59086, 53255, 55888, 51214, 51879, 50299, 56330, 50383, 54176, 55245, 50861, 62823, 59086, 51537, 50282, 51238, 51120, 51124, 50832, 50383, 53967, 55079, 50861, 53529, 50314, 74197, 50851, 51081, 76801, 50387, 53967, 50846, 56584, 60233, 50832, 52270, 53685, 50832, 70000, 50832, 64963, 50832, 52683, 57841, 50861, 66548, 67904, 53225, 50387, 53967, 50846, 54594, 65301, 61665, 51609, 50284, 51173, 51315, 51111, 50832, 70560, 55927, 50861, 68666, 50984, 57910, 50968, 52282, 50832, 53829, 50832, 55893, 51841, 51581, 50296, 62614, 65301, 61665, 53225, 50384, 54176, 55229, 53667, 50980, 51279, 51112, 50832, 71460, 54660, 50861, 70859, 64065, 53739, 50855, 56096, 62225, 50832, 55048, 52359, 50861, 52666, 50317, 52666, 50320, 55785, 67980, 50832, 73312, 50832, 55607, 50949, 52224, 50387, 53967, 53442, 50861, 64065, 66030, 50844, 51841, 51388, 51315, 51173, 50832, 70560, 50846, 52260, 53806, 50861, 70859, 61665, 53657, 55888, 51841, 51731, 50296, 54101, 50383, 54176, 55245, 50861, 70859, 64065, 51609, 50277, 51932, 51279, 50980, 50832, 50383, 53967, 55079, 50861, 52386, 50317, 52666, 50320, 55785, 50387, 53967, 50846, 56584, 60233, 50832, 52270, 53685, 50832, 70000, 50832, 64963, 50832, 52683, 57841, 50861, 73357, 67886, 53739, 50387, 53967, 50846, 54852, 61316, 61666, 51764, 50282, 52362, 50294, 58530, 70560, 55927, 50877, 64743, 64134, 55785, 53829, 50832, 55893, 50877, 62869, 59086, 51537, 50282, 50800, 51120, 50833, 51114, 60933, 50384, 54176, 55229, 53667, 51055, 51279, 51048, 50832, 71460, 54660, 50877, 62869, 59086, 64026, 64388, 50855, 56096, 62225, 50832, 55048, 52359, 50877, 70202, 64134, 55785, 67980, 50832, 73312, 50832, 55607, 57244, 50999, 58441, 50387, 53967, 53442, 57472, 60215, 72097, 51062, 52098, 50282, 51286, 51120, 51158, 50832, 70560, 50846, 52260, 53806, 50877, 64743, 70766, 50907, 51081, 69234, 55888, 51799, 51804, 50294, 55048, 50383, 54176, 55245, 50877, 61316, 75199, 50827, 53667, 51192, 51279, 51060, 50999, 51215, 50832, 50383, 53967, 55079, 50876, 64215, 50907, 51114, 54159, 50387, 53967, 50846, 56584, 60233, 50832, 52270, 53685, 50832, 70000, 50832, 64963, 50832, 52683, 57841, 50877, 61316, 76449, 70356, 59286, 50387, 53967, 50846, 54594, 62378, 61666, 78490, 51158, 51026, 79195, 70560, 55927, 50861, 78176, 74197, 50851, 50951, 60662, 53829, 50832, 55893, 51214, 74540, 62614, 65633, 61666, 50822, 79728, 50832, 50384, 54176, 55229, 51799, 74817, 59145, 71460, 54660, 50861, 65633, 59086, 53742, 50855, 56096, 62225, 50832, 55048, 52359, 51214, 50809, 51026, 61368, 52666, 50314, 74197, 55171, 67980, 50832, 73312, 50832, 55607, 57244, 51503, 50859, 51176, 53187, 50387, 53967, 53442, 61022, 60569, 67331, 51279, 51158, 51027, 79195, 70560, 50846, 52260, 53806, 50861, 64545, 50851, 51028, 54995 ]

[ 0, 250, 182, 1769, 12, 20764, 5175, 14123, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 2342, 4467, 483, 7513, 30, 21072, 6, 20535, 2810, 6, 31391, 1672, 9590, 6, 8, 326, 5638, 18026, 4, 23973, 11, 5, 5425, 86, 6543, 9, 195, 73, 306, 8, 5, 762, 9, 230, 3694, 6, 42, 765, 2125, 1171, 10, 33215, 16739, 9, 272, 119, 6, 274, 10431, 119, 1176, 406, 6, 272, 119, 406, 6, 163, 119, 1176, 406, 6, 8, 230, 119, 6, 6946, 7, 63, 15352, 30054, 8, 28339, 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 ]

[ 56355, 50638, 56355, 50791, 71523, 50883, 51570, 50817, 52320, 50883, 50462, 52358, 50817, 50463, 51565, 50942, 51182, 50830, 50466, 52251, 50851, 51629, 50822, 50470, 51565, 50878, 79960, 50473, 52251, 51123, 51629, 50851, 56355, 52093, 50416, 51565, 50878, 51182, 79936, 52251, 51524, 51629, 71437, 51565, 50959, 51182, 50925, 50424, 52251, 51524, 51629, 51051, 51544, 60568, 51565, 50959, 51182, 75411, 52251, 51142, 51629, 69876, 51565, 50955, 79960, 50436, 52251, 51210, 51629, 50933, 51570, 54735, 51565, 51008, 51182, 66479, 52251, 51022, 51629, 71095, 51565, 51008, 51182, 50878, 50448, 52251, 51524, 51629, 51051, 52320, 59671, 51565, 51008, 51182, 65002, 52251, 52179, 51629, 74981, 51565, 51008, 51182, 50878, 50460, 52251, 54618, 51629, 52167, 50462, 56345, 50464, 51565, 51008, 51182, 50942, 50466, 52251, 54618, 51629, 52167, 50470, 51686, 50840, 51284, 50880, 50472, 52156, 50841, 51558, 50818, 56355, 51338, 51603, 51673, 50910, 54864, 72291, 53662, 50898, 53349, 57434, 50818, 71172, 53045, 52893, 53063, 51338, 50993, 52055, 51765, 57201, 54864, 50802, 51570, 53349, 52986, 50816, 55254, 51533, 50802, 54461, 60340, 51187, 53349, 50834, 50462, 51132, 50967, 51289, 51187, 53349, 50834, 50463, 53456, 50823, 56355, 51338, 51603, 51320, 53349, 57434, 54925, 54864, 50802, 71172, 53045, 52893, 57334, 51270, 51031, 51974, 61239, 57201, 54864, 59898, 51338, 51379, 51570, 53349, 52986, 51270, 54844, 55254, 51727, 51175, 56108, 51014, 51289, 51187, 53349, 50834, 50462, 51289, 53708, 53584, 57808, 50828, 50463, 51857, 51505, 58837, 50823, 50468, 53257, 50820, 56355, 51338, 51454, 54864, 64578, 53349, 57434, 54925, 52480, 52115, 51673, 55341, 51565, 51151, 54680, 53045, 52893, 53063, 51338, 50993, 52055, 51765, 80022, 53349, 52986, 50816, 58996, 56385, 51533, 61423, 51187, 53349, 50834, 50462, 51132, 50967, 51289, 51187, 53349, 50834, 50463, 51383, 51031, 56355, 51338, 51603, 52480, 50795, 51320, 53349, 57434, 58100, 51673, 50879, 50424, 52083, 51036, 71172, 53045, 52893, 50834, 51974, 61239, 56859, 51338, 51175, 51570, 53349, 52986, 51270, 54844, 55254, 51727, 51175, 51289, 51187, 53349, 50834, 50462, 51289, 53708, 53584, 57808, 51031, 50463, 51857, 51505, 50468, 51383, 51031, 56355, 51338, 51603, 52480, 50805, 51320, 53349, 57434, 58100, 51673, 50940, 50424, 51606, 51264, 71172, 53045, 52893, 53063, 51338, 50993, 52055, 51765, 80022, 53349, 52986, 50816, 58996, 56385, 51533, 61423, 51187, 53349, 50834, 50462, 51132, 50967, 51289, 51187, 53349, 50834, 50463, 51383, 51031, 56355, 51338, 51603, 52161, 50923, 51320, 58168, 61490, 58100, 51606, 50911, 71172, 53045, 52893, 50834, 51974, 61239, 56859, 51338, 51379, 51570, 53349, 52986, 51270, 54844, 55254, 51727, 51175, 51289, 51187, 53349, 52920, 51270, 56419, 51383, 57335, 51270, 50818, 50462, 51289, 53708, 53584, 50834, 50463, 51857, 51505, 50465, 51383, 50834, 50468, 51383, 50818, 50471, 51383, 50834, 56355, 51338, 51603, 54864, 50802, 52629, 50802, 51683, 64578, 53349, 57434, 52437, 52604, 51033, 54680, 53045, 52893, 59508, 51673, 53961, 51338, 50993, 52055, 51765, 53593, 55639, 51359, 51570, 53349, 52986, 50816, 58996, 56385, 51533, 61423, 51187, 53349, 50834, 50462, 51132, 50967, 51289, 51187, 53349, 50834, 50463, 51383, 51031, 50468, 51270, 51031, 56355, 51338, 51603, 51320, 53349, 57434, 57550, 52604, 51008, 71172, 53045, 52893, 54883, 51673, 51006, 51974, 61239, 56859, 51338, 51379, 50435, 53809, 51151, 51570, 53349, 52986, 50816, 55254, 51727, 51175, 51289, 51187, 53349, 57399, 51270, 55891, 51383, 50820, 50462, 51289, 53708, 53584, 57808, 51031, 50463, 51857, 51505, 50468, 51383, 50820, 56355, 51338, 51454, 51320, 53349, 56616, 71017, 52432, 51383, 57074, 52604, 50959, 71172, 53045, 52893, 64561, 51673, 55544, 51338, 50993, 52055, 51765, 53593, 53297, 51422, 51570, 53349, 52986, 50816, 55254, 51533, 61423, 51187, 56616, 57737, 50834, 50462, 51132, 50967, 51289, 51187, 53349, 50834, 50463, 51383, 51031, 56355, 51338, 51603, 54051, 51121, 51320, 58168, 57434, 54925, 54864, 50993, 51683, 50993, 50421, 52367, 51100, 71172, 53045, 52893, 53063, 54864, 51354, 51683, 50975, 52055, 51371, 71017, 56859, 51338, 51175, 51570, 53349, 52986, 50816, 55254, 51533, 51175, 54461, 51014, 52099, 60340, 51187, 57808, 57737, 50834, 50462, 51289, 51187, 53349, 50834, 50463, 51374, 51505, 56173, 50823, 51888, 50823, 56355, 51132, 51603, 53456, 50802, 51713, 73475, 53349, 57434, 54925, 52747, 65061, 51713, 74899, 51683, 51696, 54680, 53045, 52893, 53063, 51132, 50993, 52055, 51371, 71017, 57201, 53456, 50802, 51570, 53349, 52986, 50816, 58996, 56385, 51910, 50802, 53175, 60340, 51187, 53349, 50834, 50462, 51416, 50967, 51289, 51187, 53349, 50834, 50463, 51947, 50823, 51383, 51031, 56355, 51132, 51603, 53456, 50802, 52747, 78356, 53349, 57434, 58100, 51713, 75800, 52310, 52379, 71172, 53045, 52893, 53063, 51132, 50993, 52055, 51765, 57201, 53456, 50802, 51570, 53349, 52986, 50816, 58996, 53641, 51383, 52725, 78812, 52339, 60340, 51187, 53349, 57399, 51270, 52349, 51383, 50820, 50462, 51910, 50967, 51289, 53708, 53584, 56616, 50828, 50463, 53175, 50823, 50468, 53257, 50820, 56355, 51132, 51603, 53456, 50802, 52747, 50923, 51320, 53349, 50376, 52439, 61490, 58100, 51713, 67233, 51906, 52208, 71172, 53045, 52893, 53063, 51132, 50993, 52055, 51765, 57201, 53456, 50802, 51570, 53349, 52986, 50816, 80210, 52725, 51602, 50802, 53542, 60340, 51187, 53349, 57399, 51270, 52349, 51383, 50820, 50462, 51526, 50967, 51289, 53708, 53584, 56616, 50828, 50463, 52339, 50823, 50468, 51383, 50820, 56355, 51132, 51603, 53456, 50802, 52489, 64578, 58168, 57220, 62497, 58100, 51906, 50802, 71172, 53045, 52893, 50834, 51974, 61239, 57201, 53456, 59898, 51132, 51379, 51570, 53349, 52986, 51270, 53412, 58781, 51383, 52725, 51533, 51175, 53542, 60340, 51187, 56616, 53110, 52920, 51270, 54370, 51270, 50834, 50462, 51289, 53708, 53584, 57808, 50820, 50463, 51374, 51505, 52339, 50823, 50467, 52560, 50880, 50468, 51383, 50828, 50470, 55025, 50840, 50471, 53257, 50834, 56355, 51338, 51454, 54864, 50802, 52061, 50802, 52425, 50802, 72961, 52589, 50898, 53349, 57808, 61490, 54925, 52182, 51294, 50420, 51431, 50865, 51683, 54919, 53147, 52379, 53170, 52379, 54680, 53045, 52893, 53063, 51338, 50993, 52055, 51765, 57201, 54027, 50983, 54864, 50802, 51570, 53349, 52986, 50816, 58996, 56385, 51533, 50802, 54461, 60340, 51187, 53349, 57399, 57624, 50943, 50462, 51132, 50967, 51289, 51187, 53349, 50834, 50463, 53456, 50823, 51383, 51031, 50465, 52182, 51446, 50467, 52560, 50880, 50468, 51383, 50820, 50470, 55025, 50840, 50471, 53257, 50820, 50473, 52061, 51060, 52425, 51060, 56355, 51338, 51603, 72961, 52589, 50898, 53349, 57808, 62497, 54925, 54864, 66576, 51431, 50938, 51683, 50938, 50425, 52336, 51469, 52366, 51469, 71172, 53045, 52893, 57334, 54027, 51446, 51974, 61239, 57201, 54864, 59898, 51338, 51175, 51570, 53349, 52986, 51270, 54844, 58781, 57624, 55082, 51727, 51175, 56108, 51014, 51289, 51187, 53349, 50834, 50462, 51289, 53708, 53584, 57808, 51031, 50463, 51857, 51505, 58837, 50823, 50464, 52182, 51336, 50467, 52560, 50880, 50468, 51383, 51031, 50470, 55025, 50840, 50471, 53257, 50820, 50473, 52061, 51173, 52425, 50893, 56355, 51338, 51603 ]

[ 0, 250, 8787, 3152, 8, 5175, 24904, 2125, 6, 278, 11, 10, 2635, 20889, 8, 204, 73, 306, 86, 6543, 6, 42, 15229, 16, 17407, 30, 63, 2933, 8, 15352, 30054, 5466, 6, 7630, 14805, 10, 25306, 8, 9066, 619, 150, 67, 1839, 3423, 9, 26545, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 5, 3459, 9590, 6, 21072, 6, 3152, 6757, 6, 8, 32909, 6, 2351, 10, 4066, 5797, 990, 1506, 9, 2369, 4, 23973, 11, 5, 762, 9, 83, 3694, 6, 5, 46336, 3184, 29769, 198, 5, 40286, 9, 2060, 6, 230, 119, 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 ]

[ 57528, 55746, 65167, 61164, 57249, 51079, 54978, 56427, 60530, 58087, 57249, 51166, 54978, 62523, 60530, 59914, 57249, 51074, 54978, 59435, 60530, 51074, 50799, 57249, 51074, 54978, 63961, 60530, 55752, 57249, 51074, 54978, 57524, 60530, 55659, 57249, 51074, 54978, 59837, 60530, 56989, 57249, 51074, 54978, 59435, 60530, 51074, 50799, 65167, 56235, 57249, 51079, 54978, 51079, 57454, 51447, 50420, 60530, 58069, 57249, 51079, 54978, 51079, 52185, 53513, 60530, 51079, 51831, 56524, 51831, 61148, 54978, 51447, 57249, 51079, 57454, 59388, 54783, 51079, 50448, 51831, 52800, 57249, 51079, 57454, 51079, 50451, 52522, 54752, 54783, 51079, 52185, 50878, 50799, 57249, 51079, 57454, 51878, 52185, 55587, 60530, 51079, 52185, 57559, 52185, 71266, 57249, 56427, 60530, 51079, 50433, 52185, 60676, 54978, 51481, 51831, 51397, 50444, 57249, 59914, 60530, 62524, 59659, 51481, 50799, 66964, 52407, 57249, 53024, 54978, 51797, 50420, 60530, 51079, 50424, 54103, 52762, 57249, 51079, 54978, 51079, 50427, 54103, 59780, 60530, 51079, 50433, 54103, 54350, 52770, 76711, 57249, 51254, 57454, 51254, 50443, 54783, 51079, 50445, 52185, 53140, 57249, 51884, 57454, 51884, 52185, 57131, 54783, 51074, 52185, 50959, 50799, 57249, 51079, 57355, 51753, 52522, 58793, 60530, 51079, 52522, 57818, 57249, 50972, 57355, 50972, 51831, 55544, 60530, 51079, 52770, 54793, 57249, 51174, 54978, 50972, 51996, 50845, 54103, 51542, 50444, 53780, 55125, 52541, 55345, 51836, 50987, 51831, 50810, 50799, 53916, 51097, 52334, 51637, 52264, 51637, 52185, 50879, 50419, 51831, 54202, 52541, 70754, 51831, 71266, 51996, 51753, 50432, 53916, 51166, 52314, 51365, 50433, 51831, 55467, 51836, 50892, 53709, 51477, 52264, 51477, 52185, 55322, 52541, 51254, 51831, 56317, 51831, 65295, 51996, 51797, 50456, 51836, 51006, 52314, 51824, 51831, 50866, 50799, 53916, 51100, 53437, 51283, 52264, 51283, 50415, 52185, 55587, 52032, 50845, 52185, 53899, 52185, 64002, 53780, 68766, 52032, 50987, 52314, 51365, 52185, 54930, 53916, 50897, 52334, 51878, 52264, 51679, 51831, 51397, 50444, 52541, 57299, 53780, 59781, 52541, 51006, 52264, 50838, 50799, 51996, 51006, 55763, 51627, 52061, 72108, 53780, 66910, 54103, 52870, 52541, 51006, 54103, 54372, 53916, 51006, 51641, 51074, 54103, 55310, 52770, 60847, 51836, 51006, 53709, 51627, 52264, 73196, 52541, 51006, 50445, 52185, 52989, 53780, 51006, 52185, 65628, 52541, 51006, 51641, 51432, 52185, 50878, 51057, 52032, 50838, 53437, 51080, 52264, 51627, 52522, 58793, 52541, 50838, 52522, 55640, 52032, 50838, 51831, 53961, 51836, 50838, 51641, 51166, 50433, 52770, 50959, 56310, 51535, 51040, 52263, 50916, 51397, 53916, 51449, 55763, 51151, 52264, 51145, 71137, 55844, 51069, 51127, 50415, 54103, 51675, 64574, 51477, 50989, 51535, 51086, 54557, 50439, 51205, 51244, 57346, 55002, 50871, 51318, 50965, 51637, 50415, 51228, 52919, 50426, 52185, 60539, 51831, 56030, 51831, 53913, 50900, 76603, 51310, 50965, 64486, 52770, 54043, 54103, 51423, 50459, 52770, 50827, 57346, 55776, 50997, 51945, 50871, 52062, 54103, 62311, 52770, 73616, 54103, 50984, 50422, 52770, 68014, 54103, 50874, 50428, 52770, 72479, 54103, 73143, 50695, 50336, 70546, 50695, 50338, 54947, 50695, 50336, 51550, 50447, 50695, 50338, 54626, 50695, 50336, 51022, 50453, 50695, 50338, 56838, 50695, 50336, 56599, 57346, 51749, 50965, 51535, 78549, 50426, 52185, 53961, 51831, 55167, 52770, 52729, 50900, 51413, 50871, 51749, 50965, 51397, 51831, 55103, 52770, 54043, 54103, 68500, 75618, 52397, 50459, 52770, 50886, 54578, 51115, 50997, 51397, 51040, 51397, 71137, 52147, 51831, 59240, 52770, 55772, 51831, 56037, 52770, 53220, 51831, 53052, 52770, 57039, 51831, 56298, 50997, 51807, 50305, 59782, 51003, 63625, 52147, 50441, 52770, 69869, 51831, 62182, 52770, 70936, 51831, 54323, 50900, 60241, 72271, 50943, 50455, 52770, 51481, 57346, 51945, 50871, 51945, 50965, 51359, 71137, 52503, 54103, 51244, 52288, 78601, 59739, 65418, 50899, 67875, 50989, 51192, 50877, 68797, 50802, 51667, 79935, 52522, 56565, 52522, 50980, 56215, 66766, 51011, 53980, 50861, 51286, 50877, 51286, 51271, 78601, 50859, 52129, 50858, 52376, 53401, 50989, 51379, 50877, 51379, 52457, 51377, 51382, 58403, 50877, 63109, 50916, 51030, 50458, 50927, 56569, 52376, 57614, 52457, 50822, 57844, 51496, 50861, 52195, 50953, 64391, 51016, 75456, 52195, 50417, 52376, 53932, 52457, 54080, 52376, 50810, 51302, 50803, 52457, 55658, 52376, 52658, 52457, 51189, 56215, 54362, 57213, 51011, 67251, 69424, 57350, 51309, 50441, 51028, 51820, 50902, 51730, 52513, 67243, 57929, 51233, 51415, 71160, 54721, 50902, 51907, 53532, 51028, 51907, 52163, 61783, 55763, 51101, 52022, 59553, 56860, 67243, 55331, 50991, 51271, 63968, 51090, 51206, 68621, 53689, 51422, 78091, 51500, 71241, 51379, 50877, 51427, 50804, 50803, 51667, 65727, 52522, 55782, 50927, 54923, 50859, 52522, 51167, 57267, 51286, 50877, 51286, 51271, 78601, 72915, 52376, 50808, 52129, 70292, 52457, 51157, 50447, 50989, 51286, 50877, 69323, 55763, 56951, 58403, 50916, 53275, 50313, 51030, 50459, 50927, 63357, 52376, 50846, 54594, 52195, 50973, 52195, 50902, 52195, 50953, 64391, 51090, 52457, 62160, 57929, 51047, 50417, 52376, 52734, 52457, 53184, 52376, 78211, 50803, 52457, 53847, 52376, 58466, 52522, 51346, 56215, 54773, 57213, 55763, 74188, 66972, 63276, 51377, 51011, 51100, 50441, 51028, 51820, 50902, 51730, 56325, 67243, 70969, 51178, 51415, 72649, 54596, 50902, 51907, 53532, 51028, 51730, 50882, 50455, 63910, 62174, 61783, 52022, 54523, 60343, 67243, 55331, 51160, 50899, 71261, 50980, 58185, 51518, 51271, 52195, 50798, 66556, 68621, 53689, 51422, 53337, 51454, 50989, 77402, 78905, 50803, 51667, 51736, 52522, 52262, 50927, 60623, 50859, 52522, 51060, 57267, 51388, 50877, 51388, 51271, 63968, 50858, 52129, 50806, 51667, 54672, 50989, 51286, 50877, 51286, 52457, 67081, 55763, 51013, 63910, 56744, 58403, 50916, 62620, 50989, 78030, 72586, 52376, 57747, 50953, 51103, 55331, 51551, 50861, 51551, 50973, 51551, 57929, 51047, 70969, 66006, 51090, 52522, 58093, 52376, 54402, 52522, 54080, 52376, 50840, 51302, 50950, 52522, 52605, 52376, 53263, 62471, 52522, 52322, 55763, 51397, 63910, 51183, 51011, 71941, 58746, 52376, 50812, 52129, 50879, 52522, 54672, 52376, 74780, 50803, 52522, 50879, 53462, 50859, 52376, 74304, 54628, 51203, 54717, 51043, 55435, 60246, 50993, 80034, 51234, 51184, 61462, 51449, 50945, 51227, 52615, 50966, 51090, 51206, 50858, 63717, 50810, 50671, 50290, 50886, 52457, 50991, 56363, 50993, 63717, 51060, 50671, 50290, 51101, 53645, 50993, 50877, 51066, 50945, 75270, 50803, 54717, 51060, 54628, 62118, 50997, 50993, 63717, 51158, 50433, 50671, 50290, 53264, 50871, 50993, 80034, 50945, 71160, 50824, 54717, 50879, 54628, 70575, 51667, 63523, 50997, 50993, 63717, 50806, 50671, 50290, 54230, 50871, 50993, 50945, 72042, 50803, 54717, 50795, 54628, 50845, 51652, 51012, 50451, 50877, 61828, 50997, 52466, 50859, 63717, 50879, 50671, 50290, 50845, 51831, 50802, 54578, 50975, 75618, 52598, 50927, 64132, 50824, 54717, 51100, 54628, 51101, 52376, 74947, 50899, 63217, 50993, 51120, 51184, 54569, 50975, 55172, 51060, 70283, 50849, 52457, 52038, 50871, 50993, 80034, 50927, 62719, 50803, 54717, 50849, 52376, 61536, 54628, 54100, 50899, 50993 ]

[ 0, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 15229, 7630, 6568, 5, 4780, 9, 1619, 8, 5, 20522, 9, 9733, 4, 20, 6755, 12547, 6, 30062, 620, 7085, 12280, 642, 6, 32909, 6, 17465, 102, 6, 8, 1515, 21305, 35810, 561, 10, 5797, 990, 1506, 9, 2369, 6, 2351, 10, 5386, 8, 24111, 676, 4, 8504, 11, 163, 3694, 8, 3185, 30, 10, 20902, 27841, 139, 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 ]

[ 50799, 50643, 67004, 50796, 50799, 52351, 50805, 51216, 50806, 52978, 50940, 54816, 50940, 54116, 50940, 59535, 50940, 50696, 50334, 50940, 50696, 50337, 50940, 54422, 50858, 61179, 50858, 64297, 50858, 53297, 51599, 54518, 50834, 51485, 50830, 52314, 50830, 52067, 50830, 55308, 50806, 55870, 50911, 53093, 50806, 54885, 51737, 50432, 52351, 50805, 51261, 52090, 54518, 50834, 54277, 50806, 55870, 50911, 52339, 50805, 54885, 51737, 50450, 52351, 50805, 51668, 55195, 54518, 50834, 56117, 50911, 55870, 50795, 53175, 50911, 54885, 50972, 50799, 52351, 50805, 51216, 51654, 54518, 50834, 55308, 50805, 55870, 50795, 53093, 50806, 54885, 67075, 51251, 51269, 70874, 67735, 51491, 50907, 79582, 66495, 51113, 50874, 72619, 55070, 51107, 50942, 61404, 55100, 52351, 50806, 51261, 52090, 54518, 50834, 54277, 50806, 55870, 50911, 52339, 50806, 54885, 77131, 51600, 50859, 51394, 50859, 51384, 50859, 51886, 55920, 52371, 50952, 51251, 50952, 51107, 50952, 51600, 50955, 51394, 50925, 51384, 50925, 52405, 50952, 55231, 50858, 54422, 50858, 61179, 50858, 53598, 53798, 52351, 50806, 51668, 55195, 54518, 50834, 56117, 50911, 55870, 50911, 53175, 50911, 54885, 50892, 50799, 52351, 80224, 50806, 52371, 50952, 51251, 50952, 51107, 50952, 51600, 50952, 51284, 50952, 51384, 50952, 52405, 50952, 52487, 50952, 54422, 50858, 61179, 50858, 64297, 50858, 53297, 51599, 54518, 50834, 51485, 50830, 52314, 50830, 52067, 50830, 55308, 50806, 55870, 50911, 53093, 50806, 54885, 55214, 52351, 50805, 51261, 52090, 54518, 50834, 54277, 50806, 55870, 50911, 52339, 50806, 54885, 54058, 52351, 50806, 51668, 51428, 54518, 50834, 56117, 50795, 55870, 50911, 53175, 50911, 54885, 50805, 50799, 52351, 76313, 52090, 54518, 50834, 52338, 50806, 55870, 50911, 53093, 50806, 54885, 70335, 51251, 51269, 70874, 67735, 51491, 50907, 79582, 66495, 51113, 50874, 72619, 55070, 51107, 50942, 61404, 55100, 52351, 50806, 51668, 55195, 54518, 50834, 56117, 50911, 55870, 50911, 53175, 50911, 54885, 61772, 51600, 50859, 51394, 50859, 51384, 50859, 51886, 55920, 52371, 50952, 51251, 50952, 51107, 50952, 51600, 50955, 51394, 50925, 51384, 50925, 52405, 50952, 55231, 50858, 54422, 50858, 61179, 50858, 53598, 53798, 52351, 50806, 51261, 55580, 54518, 50834, 54277, 51012, 55870, 50911, 52339, 50806, 54885, 50892, 50799, 52351, 50805, 51216, 50806, 52371, 50952, 51251, 50952, 51107, 50952, 51600, 50952, 51284, 50952, 51384, 50952, 52405, 50952, 52487, 50952, 54422, 50858, 61179, 50858, 64297, 50858, 53297, 51599, 54518, 50834, 51485, 50830, 52314, 50830, 52067, 50830, 51667, 50860, 55308, 50806, 55870, 50911, 53093, 50806, 54885, 51737, 50432, 52351, 50805, 51261, 52090, 54518, 50834, 52522, 51055, 54277, 50806, 55870, 50911, 52339, 50805, 54885, 51737, 50444, 51652, 57099, 52351, 50805, 51668, 55195, 54518, 50834, 51667, 51045, 56117, 50911, 55870, 50795, 53175, 50911, 54885, 57092, 51667, 50936, 50799, 52351, 50805, 51216, 51654, 54518, 50834, 51633, 50936, 55308, 50805, 55870, 50795, 53093, 50806, 54885, 67075, 51251, 51269, 70874, 67735, 51491, 50907, 79582, 66495, 51113, 50874, 72619, 55070, 51107, 50942, 61404, 50912, 51667, 57611, 52351, 50806, 51261, 52090, 54518, 50834, 51652, 51138, 54277, 50806, 55870, 50911, 52339, 50806, 54885, 77131, 51600, 50859, 51394, 50859, 51384, 50859, 51886, 55920, 52371, 50952, 51251, 50952, 51107, 50952, 51600, 50955, 51394, 50925, 51384, 50925, 52405, 50952, 55231, 50858, 54422, 50858, 61179, 50858, 53598, 50823, 52522, 58111, 52351, 50806, 51668, 55195, 54518, 50834, 52457, 50921, 56117, 50911, 55870, 50911, 53175, 50911, 54885, 54771, 55066, 50942, 50799, 52351, 80224, 50806, 52371, 50952, 51251, 50952, 51107, 50952, 51600, 50952, 51284, 50952, 51384, 50952, 52405, 50952, 52487, 50952, 54422, 50858, 61179, 50858, 64297, 50858, 53297, 51599, 54518, 50834, 51485, 50830, 52314, 50830, 52067, 50830, 55308, 50806, 55870, 50911, 53093, 50806, 54885, 55341, 51667, 57359, 52351, 50805, 51261, 52090, 54518, 50834, 52522, 51055, 54277, 50806, 55870, 50911, 52339, 50806, 54885, 55200, 51652, 57099, 52351, 50806, 51668, 51428, 54518, 50834, 51667, 51045, 56117, 50795, 55870, 50911, 53175, 50911, 54885, 52961, 51667, 50936, 50799, 52351, 76313, 52090, 54518, 50834, 51633, 50936, 52338, 50806, 55870, 50911, 53093, 50806, 54885, 70335, 51251, 51269, 70874, 67735, 51491, 50907, 79582, 66495, 51113, 50874, 72619, 55070, 51107, 50942, 61404, 50912, 51667, 57359, 52351, 50806, 51668, 55195, 54518, 50834, 51652, 51138, 56117, 50911, 55870, 50911, 53175, 50911, 54885, 61772, 51600, 50859, 51394, 50859, 51384, 50859, 51886, 55920, 52371, 50952, 51251, 50952, 51107, 50952, 51600, 50955, 51394, 50925, 51384, 50925, 52405, 50952, 55231, 50858, 54422, 50858, 61179, 50858, 53598, 50823, 52522, 57099, 52351, 50806, 51261, 55580, 54518, 50834, 52457, 50921, 54277, 51012, 55870, 50911, 52339, 50806, 54885, 54771, 55066, 50942, 50799, 54576, 50806, 51493, 51012, 52830, 50952, 51301, 50952, 51266, 50952, 51182, 50952, 51558, 50952, 51733, 50952, 51926, 50952, 54294, 50952, 56507, 50858, 58612, 50858, 50663, 50339, 50858, 52367, 51599, 54518, 50834, 51744, 50830, 51579, 50830, 53147, 50830, 52665, 51012, 53266, 51012, 53175, 50911, 57538, 56763, 51667, 57359, 54576, 50806, 51493, 51654, 54518, 50834, 52522, 51055, 53064, 50923, 53266, 50806, 53175, 56646, 51652, 57415, 54576, 50806, 52318, 51654, 54518, 50834, 51667, 50921, 54541, 50805, 55870, 50911, 52701, 56210, 51667, 51055, 50799, 55117, 50806, 52419, 55195, 54518, 50834, 56117, 50911, 53266, 50805, 52058, 50806, 56435, 80253, 51301, 51269, 73291, 67735, 51088, 50907, 67058, 51269, 52113, 51167, 50423, 51357, 50874, 59752, 55070, 51266, 50942, 58061, 55100, 55117, 50806, 52419, 55195, 54518, 50834, 52135, 50938, 54541, 50911, 53266, 50806, 52058, 50806, 56435, 56298, 51633, 74883, 51558, 50859, 51384, 50859, 51733, 50859, 51926, 50859, 52367, 55920, 52830, 50952, 51301, 50952, 51266, 50952, 51182, 50955, 51558, 50925, 51384, 50925, 52405, 50925, 52487, 50952, 54688, 50858, 54422, 50858, 61179, 50858, 64297, 50858, 53297, 50823, 52226, 57415, 55117, 50802, 52419, 55195, 54518, 50834, 52135, 51157, 56117, 50911, 53266, 50806, 52701, 50795, 56435, 50974, 50799, 52351, 50802, 51273, 50911, 52371, 50952, 51251, 50952, 51107, 50952, 51600, 50952, 51284, 50952, 51384, 50952, 54082, 50858, 53163, 50858, 54422, 50858, 51886, 51599, 54518, 50834, 52226, 50938, 55308, 50911, 55870, 50911, 53093, 50806, 54885, 50974, 55207, 51031, 51485, 50823, 52314, 50823, 52067, 50823, 51633, 52737, 62382, 51031, 51641, 50802, 51579, 50802, 52336, 52125, 50804, 50883, 51744, 50823, 52264, 50823, 53147, 53798, 51668, 50911, 60842, 51626, 51031, 51509, 51012, 52067, 51012, 52629, 60345, 51216, 50911, 57375, 51626, 51031, 52314, 50823, 52336, 50823, 55078, 50823, 52591, 50804, 50883, 52314, 50823, 52336, 50823, 55078, 54179, 50804, 51031, 52314, 50802, 52336, 50802, 55078, 52125, 51493, 50806, 70370, 53888, 50883, 51509, 51045, 52067, 51045, 52629, 68280, 51216, 50806, 57375, 53888, 50846, 51744, 51045, 52264, 51045, 53147, 51045, 50799, 52351, 50805, 51216, 50806, 54970, 50952, 50699, 50346, 50952, 50699, 50349, 50952, 50695, 50342, 52204, 50695, 50346, 52204, 50695 ]

[ 0, 250, 2933, 8, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 15855, 2712, 6, 4246, 10, 38668, 483, 6, 13602, 6757, 6, 17605, 9590, 6, 21979, 9590, 6, 8, 21072, 4, 20, 2125, 11498, 10, 2635, 6, 5679, 26709, 2877, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 274, 538, 19, 41, 12447, 1001, 20889, 9, 9680, 13410, 228, 2289, 4, 20, 15229, 30853, 81, 5, 768, 9, 29810, 2397, 6, 10346, 30, 10, 33215, 16739, 9, 83, 6, 163, 43531, 1176, 406, 6, 274, 119, 1176, 406, 6, 211, 119, 6, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 50796, 50799, 53125, 52208, 53648, 52208, 55517, 52208, 50804, 55614, 56072, 51460, 51389, 51160, 52987, 50896, 53125, 52208, 53648, 52208, 55517, 52208, 50804, 60854, 53133, 50980, 51273, 50980, 54256, 54214, 53294, 50804, 56068, 53631, 51552, 51098, 51274, 53931, 51274, 50804, 67239, 54747, 50923, 51150, 50795, 52648, 52090, 53338, 56561, 50828, 51601, 56072, 51196, 51389, 51196, 52987, 50896, 56150, 60486, 52905, 52451, 50923, 52592, 50923, 50427, 52451, 50923, 52592, 59434, 53294, 52892, 51573, 53281, 51573, 52796, 51573, 50439, 53930, 51274, 51216, 51274, 53378, 51274, 52892, 51573, 53281, 51573, 52796, 51573, 58995, 57905, 50843, 53563, 52898, 50923, 50457, 55617, 50921, 77869, 53355, 50806, 52898, 50923, 50799, 53799, 52208, 52892, 52208, 52592, 52208, 52796, 52208, 50415, 53631, 50896, 51098, 50896, 53931, 50896, 53799, 52208, 52892, 52208, 52592, 52208, 52796, 52208, 56150, 59485, 54380, 50806, 51140, 50806, 53209, 52420, 62171, 50804, 61361, 53968, 50865, 51493, 50865, 54495, 50806, 52594, 59764, 54380, 51196, 51140, 51196, 53209, 51196, 56150, 50883, 51601, 50843, 53087, 52592, 50923, 52796, 50923, 50427, 53631, 50896, 51098, 50896, 53931, 50896, 52592, 50923, 52796, 50923, 58995, 60486, 53219, 52592, 51573, 52796, 51573, 54096, 51573, 50439, 54747, 51552, 51150, 51274, 52648, 51274, 52592, 51573, 52796, 51573, 54096, 51573, 56150, 57901, 52738, 52592, 51014, 52796, 51014, 50457, 54747, 51021, 51150, 50865, 52648, 50806, 52592, 51014, 52796, 58971, 50883, 51601, 50634, 57397, 51552, 51793, 51274, 53209, 51274, 52592, 51573, 52592, 51573, 53125, 51552, 53125, 51552, 52892, 52097, 52892, 52097, 56150, 65109, 57397, 50923, 51793, 50795, 53209, 50806, 52592, 51014, 52592, 51014, 52898, 51014, 52898, 51014, 56150, 59764, 57397, 51054, 51793, 50896, 53209, 50896, 52892, 51460, 52892, 51460, 52592, 51460, 52592, 51460, 56150, 58418, 57397, 50923, 51793, 50806, 53209, 50806, 52892, 51021, 52892, 51021, 52592, 51021, 52592, 51021, 52898, 51021, 52898, 51021, 58995, 57901, 57735, 57397, 50923, 51793, 50795, 53209, 50806, 52892, 51021, 52892, 51021, 52592, 51021, 52592, 57361, 50895, 51601, 50634, 60302, 51021, 52078, 50936, 53931, 50806, 52451, 50894, 52451, 50894, 52796, 50894, 52796, 50894, 52867, 50894, 52867, 53056, 53479, 64271, 79736, 57397, 51054, 51793, 50896, 53209, 50896, 52892, 51603, 52892, 51603, 52592, 51603, 52592, 51603, 52898, 51603, 52898, 51603, 58995, 64271, 72090, 56242, 50923, 51930, 50795, 54264, 50806, 52892, 50894, 52892, 50894, 52592, 50894, 52592, 50894, 52898, 50894, 52898, 53056, 53479, 63209, 60032, 56072, 51054, 51389, 50896, 54256, 50896, 52451, 51603, 52451, 51603, 52592, 51603, 52592, 51603, 53125, 51603, 53125, 51603, 58995, 63209, 57905, 54747, 50936, 51150, 50936, 54025, 50806, 52451, 50894, 52451, 50894, 52592, 50894, 52592, 53056, 53479, 59765, 70000, 55617, 50896, 51261, 50896, 54685, 50896, 53603, 51603, 53603, 51603, 52796, 51603, 52796, 51603, 56150, 59765, 50961, 55753, 53930, 50865, 51216, 50865, 53441, 50806, 52592, 51014, 52592, 51014, 52898, 51014, 52898, 51014, 56150, 57979, 60760, 53631, 51585, 51098, 51585, 57073, 51585, 52796, 52097, 52796, 52097, 53125, 52097, 53125, 52097, 58995, 57979, 77378, 56150, 61769, 60376, 53125, 50923, 53125, 50923, 51289, 70738, 51289, 60535, 51289, 52920, 51289, 58965, 54096, 50923, 54096, 50923, 50458, 51289, 54991, 51289, 58660, 51289, 50834, 51601, 50635, 53133, 52208, 51273, 52208, 54256, 52570, 52796, 58690, 52796, 58690, 52898, 58690, 52898, 58690, 53648, 58690, 53648, 58690, 57770, 56561, 55882, 50843, 58422, 54013, 51270, 60443, 51270, 52818, 51270, 56512, 51270, 57352, 51270, 58159, 50843, 50385, 52897, 55201, 52060, 60795, 52060, 53325, 52060, 57728, 52060, 58078, 52060, 56688, 50843, 50385, 52418, 55079, 51553, 60535, 51553, 53555, 51553, 57029, 51553, 56842, 51553, 50841, 51601, 53133, 53435, 51273, 53435, 50843, 69574, 55927, 51456, 66478, 51456, 53405, 51456, 57240, 51456, 58405, 51456, 56670, 50843, 64032, 54660, 51224, 61938, 51224, 53196, 51224, 56512, 51224, 57352, 51224, 56866, 51289, 53473, 55757, 51289, 60795, 51289, 53325, 51289, 59279, 51289, 60411, 51289, 53057, 51289, 57399, 52451, 50923, 52451, 59434, 63317, 51289, 57208, 51289, 52579, 51289, 58544, 52592, 50894, 52592, 67516, 51289, 61994, 51289, 50841, 51601, 54634, 50806, 51560, 50806, 54264, 50795, 52796, 50894, 52796, 50894, 53603, 58690, 53603, 53501, 57770, 56561, 55221, 52898, 50894, 50418, 52898, 55492, 52796, 58690, 50421, 53133, 50849, 51273, 50849, 54256, 50795, 52796, 55198, 50427, 54634, 50806, 51560, 50806, 54264, 52732, 50385, 52897, 54660, 52060, 61938, 52060, 53196, 52060, 58685, 53133, 50849, 51273, 50849, 54256, 57775, 52060, 57352, 52060, 56866, 54634, 50896, 51560, 50896, 54264, 51048, 52451, 51527, 52451, 51527, 50843, 50385, 52418, 55201, 51553, 60795, 51553, 53325, 51553, 57728, 51553, 58078, 51553, 56688, 54634, 50806, 51560, 50806, 54264, 52732, 69574, 55079, 51456, 60535, 51456, 53555, 51456, 59036, 53133, 50849, 51273, 50849, 54256, 59831, 51456, 56842, 51456, 50841, 51601, 54634, 50806, 51560, 50806, 54264, 50795, 52892, 52369, 52892, 52369, 68041, 57987, 53133, 50849, 51273, 50849, 54256, 61156, 54634, 50896, 51560, 50896, 54264, 51048, 59493, 52942, 59382, 67779, 56068, 54634, 50806, 51560, 50806, 54264, 65213, 50843, 50385, 52418, 60547, 51553, 63938, 51553, 60479, 53133, 50849, 51273, 50849, 54256, 50795, 51553, 54847, 51553, 58078, 51553, 56688, 54634, 50806, 51560, 50806, 54264, 50795, 53125, 50923, 53125, 50923, 53799, 51603, 53799, 51603, 53603, 51603, 50452, 50843, 69574, 55079, 51456, 60570, 51456, 62107, 53133, 50849, 51273, 51100, 54256, 63354, 50923, 52898, 50923, 51456, 54991, 51456, 56842, 51456, 50841, 51601, 50634, 55617, 50806, 51261, 50806, 53355, 50795, 53603, 52208, 53603, 52208, 52592, 56073, 52592, 56073, 53125, 56073, 53125, 56073, 57770, 56561, 57987, 53930, 50849, 74676, 53378, 61156, 55617, 50806, 51261, 50806, 53355, 52732, 50385, 52418, 55739, 51553, 61938, 51553, 53196, 51553, 57160, 53930, 50849, 74676, 53378, 57775, 51553, 57540, 51553, 58159, 50633, 55617, 50806, 51261, 50806, 53355, 52732, 64032, 55384, 51224, 60795, 51224, 53325, 51224, 60822, 53930, 50849, 74676, 53378, 59830, 51224, 58145, 51224, 57399, 55617, 50806, 51261, 50806, 53355, 56971, 53846, 54944, 51326, 60535, 51326, 53555, 51326, 58901, 53930, 50849, 74676, 53378, 59831, 51326, 56603, 51326, 50834, 51601, 50634, 55617, 52500, 51261, 52500, 53355, 50983, 52451, 50923, 52451, 50923, 50416, 52615, 52082, 51159, 50428, 51721, 51290, 53952, 51460, 53952, 51460, 53799, 51460, 53799, 51460, 50440, 51633, 51016, 53799, 51460, 53799, 51460, 52451, 51460, 52451, 51460, 55745, 51054, 50452, 51993, 51013, 53256, 51460, 53256, 51460, 52451, 51460, 52451, 51460, 52592, 51460, 52592, 51460, 59410, 51054, 51809, 50633, 52372, 51696, 57457, 53435, 52451, 52208, 52451, 52208, 53799, 56073, 53799, 56073, 52796, 56073, 52796, 56073, 50458, 57533, 50923, 51809, 53603, 51460, 53603, 51460, 61125, 52369, 50427, 54761, 51016, 50428, 53603, 51603, 53603, 51603, 52796, 51603, 52796, 51603, 53125, 51054, 53125, 51054, 50439, 52372, 51013, 50440, 53603, 51054, 53603 ]

[ 0, 250, 15352, 30054, 8, 1372, 3495, 3152, 2214, 4246, 13305, 6, 3152, 6757, 6, 2382, 3459, 8669, 6, 3459, 9590, 6, 8, 21072, 6, 278, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 11509, 12049, 9, 657, 8, 10563, 149, 63, 33215, 16739, 9, 381, 6, 274, 10431, 119, 6, 8, 274, 10431, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57448, 50856, 50898, 50932, 50415, 51777, 51922, 51119, 52503, 51489, 51922, 51544, 51108, 50427, 50947, 50991, 50436, 50947, 50830, 51570, 50932, 50440, 51316, 51060, 53526, 53401, 51316, 50830, 51382, 51421, 51097, 50451, 51076, 51060, 54124, 53793, 50947, 50830, 65100, 51524, 51119, 52167, 51777, 52167, 51011, 51870, 52949, 52720, 53245, 52720, 50798, 50940, 52574, 50919, 55534, 51316, 51291, 50417, 51119, 52167, 50418, 51232, 51524, 51232, 51524, 51119, 52167, 51777, 52179, 51777, 52179, 52112, 50422, 51232, 52167, 51232, 52167, 51119, 52167, 51119, 52167, 51777, 51862, 51777, 51862, 61236, 51232, 51862, 51232, 51862, 51119, 54146, 51119, 54146, 51777, 52167, 51777, 52167, 51385, 51319, 51403, 50904, 52110, 75070, 51421, 57881, 51232, 52167, 51232, 52167, 51119, 56373, 51119, 56373, 51777, 52946, 51777, 52946, 52105, 50434, 51232, 52167, 51232, 52167, 51119, 52167, 51119, 52167, 51777, 51862, 51777, 51862, 51011, 51551, 52358, 53040, 51232, 51524, 51232, 51524, 51119, 54088, 51119, 54088, 51777, 51862, 51777, 51862, 51019, 77609, 50858, 52105, 50442, 51232, 52167, 51232, 52167, 51119, 54618, 51119, 54618, 51777, 52167, 51777, 52167, 52105, 50446, 51232, 52167, 51232, 52167, 51119, 54146, 51119, 54146, 51777, 52179, 51777, 52179, 59848, 51232, 51524, 51232, 51524, 51119, 54088, 51119, 54088, 51777, 51862, 51777, 51862, 51403, 50864, 51385, 51851, 52110, 74068, 51044, 57297, 51232, 52167, 51232, 52167, 51119, 54618, 51119, 54618, 51777, 52167, 51777, 52167, 52261, 50458, 51232, 52946, 51232, 52946, 51119, 56373, 51119, 56373, 51777, 52167, 51777, 52167, 51019, 51356, 51931, 65100, 51524, 51232, 51524, 51119, 54088, 51119, 54088, 51777, 52167, 51777, 52167, 51011, 54055, 50798, 50858, 52105, 50418, 51232, 54088, 51232, 54088, 51119, 56373, 51119, 56373, 51777, 54088, 51777, 54088, 52105, 50422, 51232, 52167, 51232, 52167, 51119, 56373, 51119, 56373, 51777, 54146, 51777, 54146, 58139, 51232, 52167, 51232, 52167, 51119, 54146, 51119, 54146, 51777, 52946, 51777, 52946, 51385, 52134, 51403, 50941, 52110, 74068, 51044, 50829, 50947, 50967, 50430, 51232, 52167, 51232, 52167, 51119, 54618, 51119, 54618, 51777, 52946, 51777, 52946, 51468, 50434, 51232, 52167, 51232, 52167, 51119, 54618, 51119, 54618, 51777, 54088, 51777, 54088, 51011, 51977, 61558, 50834, 50947, 53402, 51232, 52179, 51232, 52179, 51119, 54146, 51119, 54146, 51777, 52946, 51777, 52946, 51011, 75277, 50858, 52105, 51316, 50967, 50442, 51232, 52167, 51232, 52167, 51119, 54088, 51119, 54088, 51777, 52946, 51777, 52946, 51471, 50446, 51232, 52167, 51232, 52167, 51119, 54618, 51119, 54618, 51777, 52946, 51777, 52946, 51762, 51316, 53484, 51232, 52179, 51232, 52179, 51119, 54146, 51119, 54146, 51777, 52167, 51777, 52167, 51403, 51000, 52110, 50971, 51385, 70028, 51044, 57150, 51076, 51060, 50454, 51232, 52179, 51232, 52179, 51119, 54088, 51119, 54088, 51777, 52167, 51777, 52167, 50791, 60427, 51232, 52179, 51232, 52179, 51119, 52946, 51119, 52946, 51777, 56373, 51777, 56373, 51011, 72558, 50884, 50947, 50830, 61310, 52167, 51198, 52167, 51494, 52946, 51494, 52946, 51512, 56373, 51512, 56373, 51429, 52167, 51429, 52167, 51415, 51870, 53144, 52720, 51914, 52720, 50798, 50858, 51248, 50797, 51239, 50828, 72211, 50418, 51198, 54088, 51198, 54088, 51494, 56373, 51494, 56373, 51429, 54146, 51429, 54146, 52105, 50422, 51198, 52167, 51198, 52167, 51494, 56373, 51494, 56373, 51429, 54088, 51429, 54088, 60454, 51198, 52167, 51198, 52167, 51494, 54088, 51494, 54088, 51429, 54088, 51429, 54088, 51185, 51126, 52165, 51297, 53706, 50364, 51071, 51044, 57286, 61621, 50430, 51198, 52946, 51198, 52946, 51494, 56373, 51494, 56373, 51429, 54618, 51429, 54618, 51931, 50433, 51078, 51291, 50434, 51198, 51862, 51198, 51862, 51494, 52167, 51494, 52167, 51429, 52167, 51429, 52167, 51415, 51551, 54933, 52766, 51198, 52179, 51198, 52179, 51494, 54088, 51494, 54088, 51429, 54088, 51429, 54088, 51213, 76727, 50858, 52105, 50442, 51198, 52167, 51198, 52167, 51494, 56373, 51494, 56373, 51429, 54618, 51429, 54618, 51762, 50446, 51198, 52179, 51198, 52179, 51494, 54146, 51494, 54146, 51429, 54146, 51429, 54146, 59207, 51198, 52167, 51198, 52167, 51494, 54088, 51494, 54088, 51429, 52946, 51429, 52946, 52165, 50971, 51185, 51123, 53706, 64348, 51044, 59096, 51198, 52167, 51198, 52167, 51494, 56373, 51494, 56373, 51429, 54146, 51429, 54146, 51931, 50458, 51198, 52167, 51198, 52167, 51494, 54146, 51494, 54146, 51429, 54146, 51429, 54146, 51213, 50921, 52105, 61310, 51862, 51198, 51862, 51494, 52946, 51494, 52946, 51429, 52167, 51429, 52167, 51415, 58747, 50858, 52105, 50418, 51198, 52167, 51198, 52167, 51494, 54088, 51494, 54088, 51429, 52946, 51429, 52946, 51931, 50422, 51198, 52167, 51198, 52167, 51494, 54088, 51494, 54088, 51429, 54146, 51429, 54146, 52105, 50425, 50947, 59204, 51198, 51862, 51198, 51862, 51494, 52946, 51494, 52946, 51429, 52167, 51429, 52167, 51185, 51210, 52165, 50907, 53706, 51524, 54161, 58331, 51198, 52167, 51198, 52167, 51494, 52946, 51494, 52946, 51429, 54088, 51429, 54088, 51931, 50433, 50947, 56080, 51198, 52179, 51198, 52179, 51494, 54618, 51494, 54618, 51429, 54146, 51429, 54146, 51213, 58878, 50840, 68039, 51198, 52179, 51198, 52179, 51494, 52167, 51494, 52167, 51429, 51862, 51429, 51862, 51415, 66196, 50858, 52105, 50947, 50967, 50442, 51198, 52167, 51198, 52167, 51494, 54146, 51494, 54146, 51429, 54146, 51429, 54146, 52093, 50446, 51198, 51862, 51198, 51862, 51494, 52167, 51494, 52167, 51429, 52167, 51429, 52167, 52093, 50947, 53484, 51198, 52167, 51198, 52167, 51494, 52167, 51494, 52167, 51429, 52167, 51429, 52167, 51185, 51142, 52165, 50907, 53706, 75070, 51044, 75634, 51060, 50454, 51198, 52167, 51198, 52167, 51494, 52946, 51494, 52946, 51429, 54618, 51429, 54618, 52093, 50457, 50947, 67074, 51198, 51862, 51198, 51862, 51494, 52167, 51494, 52167, 51429, 52167, 51429, 52167, 51415, 54196, 51044, 50930, 65100, 52179, 51232, 52179, 51119, 52179, 51119, 52179, 51777, 52167, 51777, 52167, 51011, 51541, 52949, 53588, 53245, 51748, 50798, 52153, 50818, 50947, 50983, 50418, 51232, 52167, 51232, 52167, 51119, 54146, 51119, 54146, 51777, 52179, 51777, 52179, 50791, 56493, 51232, 54088, 51232, 54088, 51119, 56373, 51119, 56373, 51777, 52946, 51777, 52946, 61236, 51232, 52167, 51232, 52167, 51119, 52946, 51119, 52946, 51777, 51862, 51777, 51862, 51385, 51550, 51403, 50912, 52110, 75070, 51044, 57881, 51232, 52946, 51232, 52946, 51119, 56373, 51119, 56373, 51777, 52167, 51777, 52167, 52105, 50433, 51078, 66881, 51232, 52167, 51232, 52167, 51119, 54088, 51119, 54088, 51777, 52179, 51777, 52179, 51011, 51413, 63998, 53116, 51232, 51862, 51232, 51862, 51119, 54618, 51119, 54618, 51777, 52167, 51777, 52167, 51011, 66196, 52153, 50841, 62299, 50442, 51232, 52179, 51232, 52179, 51119, 54146, 51119, 54146, 51777, 52167, 51777, 52167, 51471, 50446, 51232, 52167, 51232, 52167, 51119, 54618, 51119, 54618, 51777, 52167, 51777, 52167, 60899, 51232, 51862, 51232, 51862, 51119, 54146, 51119, 54146, 51777, 51862, 51777, 51862, 66035, 51385, 51022, 51403, 50822, 52110, 51862, 54161, 59617, 51232, 52167, 51232, 52167, 51119, 54088, 51119, 54088, 51777, 51862, 51777, 51862, 51228, 50921, 51931, 50458, 51232 ]

[ 0, 250, 2635, 8, 15352, 30054, 5175, 1619, 2214, 11, 230, 538, 6, 4246, 3459, 8669, 6, 21072, 6, 13305, 6, 486, 118, 9877, 483, 6, 8, 6755, 12547, 6, 19, 10, 33215, 16739, 9, 230, 6, 274, 119, 1176, 406, 6, 272, 6, 381, 406, 6, 8, 1918, 6, 7630, 14805, 10, 1372, 8, 33558, 6711, 11, 63, 765, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57128, 51457, 51036, 51818, 51036, 51981, 51307, 53482, 51021, 52453, 72059, 75970, 54213, 51250, 50836, 51780, 52847, 51700, 50835, 51510, 50365, 51765, 52917, 51250, 50795, 51780, 53543, 51239, 50846, 71118, 53482, 51033, 51350, 53959, 53766, 52240, 50825, 51556, 54203, 53482, 51030, 51250, 50795, 51780, 71276, 50818, 51572, 53858, 51350, 50834, 52969, 69022, 52240, 55519, 54914, 77223, 51780, 50862, 51895, 51117, 52805, 53171, 51003, 61556, 51045, 61394, 56883, 53482, 50949, 51250, 50849, 51780, 51100, 52008, 50454, 64068, 54712, 50843, 52240, 57950, 71799, 51033, 74262, 77034, 51894, 51825, 51036, 52287, 51264, 53508, 50911, 52453, 54925, 71799, 51362, 71787, 51355, 50840, 51536, 55250, 51989, 50870, 51510, 52872, 51355, 50849, 51536, 53888, 51179, 54013, 53508, 53287, 51187, 52953, 53508, 50882, 51262, 50810, 61556, 51033, 60007, 51989, 50835, 51556, 54114, 53508, 50940, 51355, 50849, 51536, 50849, 56216, 51552, 51479, 50818, 51572, 57527, 53027, 51262, 54640, 52240, 58847, 54284, 70099, 51536, 52217, 53430, 53633, 51073, 54001, 53545, 51327, 51235, 51355, 50805, 51536, 51111, 63012, 54799, 67451, 51989, 50870, 78384, 50799, 51457, 51655, 51818, 51036, 51981, 51307, 53482, 51014, 56647, 51021, 52453, 73486, 53070, 77866, 51780, 50836, 56216, 55509, 51989, 53991, 52969, 51400, 54958, 51765, 52976, 51250, 50805, 51780, 52918, 51179, 54013, 61814, 53482, 50940, 51350, 53309, 53766, 51989, 69499, 54114, 53482, 51033, 51250, 50849, 51780, 50849, 52321, 69867, 54189, 53927, 50983, 51350, 54640, 51989, 57071, 55686, 51250, 50836, 51780, 52217, 60238, 51129, 51382, 51135, 57886, 54310, 51124, 53482, 50893, 51250, 51111, 51780, 51060, 51956, 58201, 51989, 54603, 53482, 50859, 52008, 77034, 51358, 51825, 51336, 52287, 50918, 53171, 50918, 53508, 50893, 53358, 75179, 53738, 70099, 51536, 55250, 51989, 55983, 52969, 50867, 72709, 51355, 50849, 51536, 51162, 61556, 52997, 51179, 56499, 53508, 50808, 64068, 50910, 52166, 53031, 53508, 50858, 51262, 54312, 53843, 52546, 54483, 61556, 50921, 62432, 52287, 51103, 53171, 51183, 57494, 51047, 53508, 50858, 51250, 50943, 53358, 56650, 51355, 51162, 64068, 51033, 54958, 51371, 53325, 51536, 69319, 51989, 58847, 54673, 52825, 50910, 56216, 51073, 60551, 51250, 79900, 54363, 53633, 55060, 51179, 53555, 53508, 50923, 53698, 51753, 51093, 51753, 50843, 68336, 54625, 52395, 63930, 58660, 51769, 50846, 50799, 51818, 50828, 51981, 50839, 53171, 50839, 51249, 51413, 51327, 51562, 51825, 51562, 51338, 50883, 51132, 51226, 53428, 50862, 51284, 50862, 59151, 50820, 53718, 51397, 52321, 57705, 53428, 50862, 51284, 50862, 52622, 50420, 51223, 50846, 77309, 53428, 50836, 51284, 55250, 52703, 59927, 56016, 53428, 70528, 51187, 52976, 51223, 50940, 51262, 50977, 53428, 70528, 54212, 51130, 51989, 54013, 53428, 70528, 51187, 53962, 51132, 50910, 51265, 50837, 53428, 50839, 51284, 53790, 53766, 53099, 54606, 53428, 50917, 51284, 54260, 70227, 51457, 51191, 52932, 51351, 51727, 50840, 57204, 51452, 57124, 51661, 51262, 50812, 51543, 53877, 51130, 56650, 51436, 50834, 53428, 50835, 51284, 51750, 53384, 53428, 50836, 51284, 55250, 64494, 52707, 54368, 51262, 50828, 51543, 50862, 53428, 50841, 51284, 51406, 64427, 62849, 53428, 50917, 51284, 50917, 51382, 51139, 52546, 57886, 51457, 50813, 51825, 50862, 52932, 50813, 51262, 50828, 51543, 50813, 52869, 51008, 51182, 51008, 52008, 50456, 53050, 51100, 51201, 69319, 53099, 54794, 51262, 50809, 51543, 53340, 60642, 50820, 50799, 51457, 50839, 51825, 50841, 52932, 50839, 51727, 50883, 52869, 51477, 51182, 51477, 52453, 58487, 51818, 51183, 51981, 51127, 53171, 51183, 51338, 51226, 59151, 51047, 50417, 51250, 50859, 51536, 50897, 52008, 50420, 51350, 64972, 53099, 68256, 54951, 51223, 51464, 52976, 51250, 50938, 51536, 57616, 65204, 56499, 52166, 53962, 76266, 51350, 50928, 53517, 51166, 51113, 51166, 66717, 53099, 50825, 51556, 58286, 52869, 50862, 51182, 53894, 52109, 50854, 51338, 50895, 51844, 51291, 51250, 50820, 51536, 50839, 51350, 50866, 54307, 51047, 53358, 60464, 52869, 50834, 51182, 51464, 62971, 52869, 50855, 51182, 54840, 52109, 51115, 51729, 58810, 53099, 71135, 58394, 52869, 50812, 51182, 54672, 51350, 50895, 77866, 52008, 50449, 53428, 51775, 51284, 51775, 51382, 51139, 52546, 56246, 51818, 51172, 72708, 77483, 51248, 52289, 53555, 50843, 52245, 57059, 52869, 51123, 51182, 72037, 55709, 56842, 53050, 51103, 51201, 51103, 50799, 52109, 50839, 51818, 50839, 51981, 50839, 51303, 51486, 51249, 51692, 51457, 51692, 51844, 51031, 51181, 51745, 54307, 50820, 52886, 51422, 52321, 73486, 54183, 51265, 50846, 51195, 53434, 52703, 59927, 50928, 72709, 51265, 50940, 51195, 50977, 55737, 51989, 50818, 76726, 51181, 50893, 51425, 54390, 53766, 53099, 50834, 51556, 53569, 51181, 50807, 51265, 50812, 51195, 53877, 51130, 56650, 51482, 51464, 62971, 53428, 54861, 51284, 54861, 54032, 64494, 52707, 54368, 51265, 50828, 51195, 53340, 64427, 62849, 51825, 50839, 51132, 51227, 52869, 50912, 51182, 50912, 53718, 50915, 51382, 51139, 52546, 57886, 51249, 50813, 51327, 50862, 51825, 60143, 50828, 51262, 51559, 64360, 52869, 54298, 51182, 54298, 58201, 53099, 54794, 51223, 50809, 51262, 53340, 60642, 55971, 53050, 52431, 51201, 52431, 57204, 51151, 50799, 51457, 51790, 51825, 51675, 52932, 51353, 51727, 51274, 52453, 57705, 51262, 50859, 51543, 50897, 52008, 50420, 51195, 64972, 53099, 68256, 54951, 51436, 51464, 52976, 51262, 50938, 51543, 57616, 65204, 56499, 52166, 53962, 51727, 50805, 51195, 56926, 53843, 53099, 50825, 51556, 50891, 57124, 51661, 51262, 50866, 51543, 50901, 53358, 50961, 68251, 51457, 51295, 51195, 58810, 53099, 71135, 54673, 51262, 50895, 79653, 52008, 51382, 51139, 52546, 56246, 51825, 51423, 51262, 50890, 51543, 50887, 51248, 52289, 60570, 53698, 51753, 51093, 51753, 58201, 52245, 54794, 55709, 56842, 51249, 50839, 51327, 50835, 53428, 50863, 51284, 50863, 53718, 50820, 76675, 51413, 51327, 51562, 51825, 51562, 51132, 51274, 53718, 51397, 52321, 70426, 53428, 50834, 51284, 64264, 73954, 53428, 50820, 51284, 52761, 51223, 50846, 51262, 53434, 52703, 59927, 65587, 53428, 50829, 51284, 50829, 51510, 63026, 53428, 50839, 51284, 52992, 51223, 50940, 51262, 50977, 55737, 51989, 60568, 53428, 50839, 51284, 50839, 51532, 64161, 53428, 50834, 51284, 53063, 51132, 50910, 51265, 54390, 53766, 53099, 56512, 53428, 50917, 51284, 71148, 51457, 51191, 52932, 51351, 51727, 50840, 57204, 51452, 58907, 57124, 51661, 51262, 50812, 51543, 53877, 51130, 68017, 53428, 50820, 51284, 54704, 51436, 51464, 62971, 53428, 50820, 51284, 52616, 50843, 64494, 52707, 56892, 53428, 50825, 51284, 53528, 51262, 50828, 51543, 53340, 64427, 62849, 53428, 50942, 51284, 50942, 51382, 51139, 52546, 57886, 51457, 50813, 51825, 50862, 52932, 50813, 51262, 50828, 51543, 50813, 52869, 50933, 51182, 50933, 52008, 50456, 53050, 51177, 51201, 51177, 50843, 53099, 54794, 51262, 50809, 51543, 53340, 60642, 50820, 50799, 51457, 50839, 51825, 50841, 52932, 50839, 51818, 51183, 51981, 51127, 53171, 51183, 51727, 50883, 51338, 51226, 52869, 51965, 51182, 51965, 59151, 51047, 52453, 57705, 51250, 50859, 51536, 50897, 52008, 50420, 51350, 64972, 53099, 68256, 54951, 51223, 51464, 52976, 51250, 50938, 51536, 57616 ]

[ 0, 250, 15855, 8, 3495, 24904, 2214, 4246, 10, 13305, 8, 32909, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 4, 20, 2125, 7630, 6568, 10, 25306, 5466, 19, 17878, 9, 15073, 6, 150, 202, 6780, 15352, 30054, 8, 1372, 4785, 4, 23973, 11, 5, 762, 9, 230, 538, 6, 5, 15229, 29769, 198, 5, 40286, 272, 6, 230, 6, 8, 211, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 52552, 50625, 50999, 55085, 51081, 50866, 54734, 51962, 50297, 51962, 50328, 51134, 53502, 50978, 53645, 61976, 50978, 56014, 51962, 50328, 54014, 50871, 61976, 51962, 50327, 55040, 50900, 51962, 50328, 54356, 50871, 61976, 51962, 50333, 54752, 50900, 51962, 50337, 50866, 54662, 51962, 50302, 51962, 50335, 51109, 56363, 50978, 53337, 60127, 51962, 50330, 69558, 50997, 50978, 55898, 60127, 64208, 50997, 50978, 56279, 60127, 51962, 50330, 77948, 50997, 50978, 53997, 76553, 51962, 50328, 51134, 53502, 50978, 53645, 61976, 59982, 51146, 64312, 73187, 51062, 52729, 50871, 64608, 51710, 50330, 50936, 55513, 77604, 50936, 56415, 64608, 51710, 50325, 57973, 50900, 76028, 50936, 56807, 51919, 50292, 65815, 77130, 51430, 51919, 50335, 51919, 50338, 57327, 51430, 51919, 50335, 71327, 51472, 50916, 51472, 50861, 51472, 50906, 51472, 50432, 51062, 51919, 50332, 57626, 50968, 79443, 59357, 50951, 57824, 50999, 56974, 51081, 50937, 56310, 51710, 50325, 51241, 51062, 51241, 53502, 65482, 50978, 53523, 65482, 59982, 51146, 64312, 65482, 73187, 51062, 52729, 51027, 77244, 51109, 55513, 65482, 50978, 55895, 65482, 71508, 51109, 72407, 65482, 50978, 55435, 62597, 51134, 51081, 51134, 54569, 65482, 50978, 53337, 65482, 50978, 58296, 65482, 63988, 77498, 54014, 50997, 71508, 51109, 51146, 51109, 55989, 65482, 50978, 56279, 65482, 51962, 50328, 54752, 50899, 65482, 51962, 50326, 50866, 58479, 78166, 51253, 78120, 67104, 63766, 54278, 51146, 57356, 51062, 54014, 50951, 77238, 51253, 50997, 51253, 78120, 78444, 50444, 50968, 54356, 51146, 56974, 51062, 50866, 64688, 61976, 51109, 50931, 51109, 60284, 58632, 51085, 61902, 51109, 50999, 69558, 51279, 60676, 51247, 51253, 50877, 51109, 50931, 51109, 52552, 52521, 55085, 52813, 50866, 68614, 51134, 51247, 51253, 51050, 51253, 53502, 50866, 53645, 59437, 53961, 52064, 68038, 54014, 53122, 51665, 50285, 51253, 51050, 51253, 50444, 52064, 68038, 54356, 52249, 60898, 59437, 54752, 52142, 68038, 50866, 71802, 51109, 51234, 51253, 56363, 54278, 51967, 68323, 61434, 53961, 50997, 54014, 51234, 51253, 66626, 54356, 51967, 66867, 61434, 54752, 51967, 77239, 50866, 68614, 51134, 51085, 51253, 53502, 50866, 53645, 59437, 53961, 52064, 68038, 54014, 51967, 51665, 50292, 51253, 50444, 52064, 68038, 54356, 52521, 60898, 59437, 54752, 53992, 68038, 50866, 77723, 51397, 51085, 51253, 78120, 50420, 50951, 51665, 50326, 54278, 50968, 65524, 53961, 50876, 69215, 54014, 50916, 62245, 55040, 50916, 61434, 54356, 52521, 60898, 59437, 54752, 52813, 61434, 62839, 50866, 68614, 51134, 51247, 51253, 51050, 51253, 53502, 50866, 53645, 59437, 53961, 52064, 68038, 54014, 53122, 51665, 50285, 51253, 51050, 51253, 50444, 52064, 68038, 54356, 52249, 60898, 59437, 54752, 52142, 68038, 50866, 71802, 51056, 51234, 51109, 56363, 57817, 51967, 60959, 57682, 57356, 50997, 58020, 51324, 51157, 55989, 57704, 58138, 51967, 60757, 58603, 51967, 67047, 57704, 50924, 71802, 51294, 51085, 51157, 53502, 73022, 57704, 50924, 53523, 73022, 57704, 57943, 51951, 65185, 73022, 57704, 58818, 52142, 51710, 50287, 73574, 74322, 51951, 51710, 50303, 67047, 57704, 58138, 52249, 51710, 50303, 67047, 57704, 58603, 51967, 51710, 50303, 67047, 57704, 50924, 68614, 51472, 51085, 68538, 56440, 58733, 50924, 54439, 57943, 50916, 58733, 58818, 51085, 68538, 65827, 58733, 58138, 52064, 57704, 58603, 52064, 73022, 58733, 50924, 50799, 52813, 51294, 51085, 68538, 56440, 79998, 54439, 57943, 51951, 73022, 59820, 58818, 51951, 51710, 50292, 68538, 50444, 52064, 73022, 59820, 58138, 52064, 57704, 58603, 52130, 73022, 79998, 76140, 51073, 51247, 51157, 51050, 51157, 53502, 60757, 64608, 57316, 52064, 65815, 60757, 64608, 50924, 56014, 60757, 64608, 58818, 51247, 51157, 51050, 51157, 55513, 60757, 64608, 58138, 52064, 65185, 60757, 64608, 58603, 52064, 65185, 60757, 64608, 50924, 50799, 52813, 51294, 51085, 68538, 56440, 57704, 79998, 56248, 57704, 59820, 57943, 51951, 73022, 57704, 59820, 58818, 52249, 51710, 50285, 51157, 51050, 74322, 52064, 65185, 60757, 64608, 58138, 52064, 65185, 60757, 64608, 58603, 52249, 65185, 60757, 64608, 50924, 71802, 51472, 51085, 68538, 56440, 57704, 58733, 50924, 56248, 57704, 58733, 57943, 50916, 57704, 58733, 58818, 50916, 57704, 58733, 51710, 50292, 68538, 65827, 57704, 58138, 52521, 60898, 59437, 54752, 52813, 61434, 62839, 50866, 68614, 51134, 51247, 51253, 51050, 51253, 53502, 50866, 53645, 59437, 53961, 52064, 68038, 54014, 53122, 51665, 50283, 51253, 51197, 51253, 50444, 52064, 68038, 54356, 52249, 60898, 59437, 54752, 52142, 68038, 50866, 50799, 54113, 51056, 51799, 51109, 51120, 51109, 56363, 57817, 51967, 60959, 57682, 57356, 50997, 58020, 53492, 51157, 51234, 51157, 66626, 58138, 51967, 67047, 57704, 58603, 51967, 76455, 50924, 68614, 51226, 52206, 51073, 51085, 51073, 53502, 50936, 53645, 63621, 57611, 52249, 71327, 57626, 52142, 51919, 50280, 51073, 51085, 51073, 50444, 54113, 71327, 58111, 51967, 73721, 62509, 61624, 57973, 52130, 71327, 50936, 51034, 52249, 51285, 51050, 51472, 53502, 50936, 53645, 63621, 50936, 56014, 57626, 51247, 65815, 63187, 64460, 52552, 52064, 51109, 50799, 54113, 51134, 50916, 61434, 51665, 50292, 51253, 53502, 54278, 51315, 61902, 53961, 52142, 77238, 76553, 54014, 51951, 68038, 73665, 61434, 55040, 53058, 77238, 76553, 54356, 51951, 51665, 50296, 61902, 54752, 51967, 51665, 50292, 76553, 50866, 76140, 60898, 59437, 51665, 50285, 51253, 50420, 52142, 68038, 54278, 52064, 51109, 51279, 61902, 53961, 51085, 76553, 54014, 50871, 59437, 51665, 50297, 51253, 55513, 54356, 52064, 51109, 50876, 51665, 50285, 51253, 72407, 50866, 76140, 51226, 51247, 51073, 51050, 65815, 63187, 64460, 50432, 52249, 57626, 52249, 51919, 50287, 77468, 51073, 60355, 59001, 68022, 50444, 52142, 58111, 51951, 57973, 52249, 50936, 71802, 51285, 50916, 62509, 62392, 51919, 50292, 51472, 50900, 51472, 67855, 79443, 57327, 50968, 51710, 50326, 57943, 50968, 77152, 58818, 50876, 71557, 62929, 72155, 78581, 70338, 58365, 59390, 57824, 52064, 51109, 50861, 62839, 54752, 50916, 61434, 50866, 76140, 51241, 51050, 51134, 70836, 50877, 51241, 50876, 51241, 50931, 79763, 52249, 51588, 50295, 71674, 59437, 59390, 68543, 58020, 52249, 51588, 50294, 66867, 59437, 59390, 68543, 59352, 52249, 51588, 50294, 66867, 59437, 59390, 68543, 57824, 52249, 51588, 50293, 51665, 50305, 67181, 67844, 68543, 56974, 52249, 51588, 50293, 51665, 50305, 67181, 67844, 68543, 50937, 76140, 51294, 51085, 51204, 50900, 51204, 50877, 51294, 50931, 51294, 50432, 51951, 51710, 50292, 71281, 64471, 77152, 58818, 52142, 51055, 51247, 51073, 51050, 51073, 60240, 50999, 76342, 52064, 50866, 57528, 52064, 51134, 51085, 51253, 78120, 50916, 78581, 67384, 50432, 52064, 54014, 53122, 55040, 52064, 54356, 52142, 59390, 66986, 51665, 50292, 51253, 78120, 50456, 51951, 59437, 65524, 50866, 76140, 51452, 50877, 62245, 65140, 51665, 50285, 51535, 51050, 51535, 58060, 54278, 50902, 53961, 50968, 54014, 50931, 62929, 62646, 68721, 75115, 50951, 57824, 50999, 58603, 51081, 50924, 57448, 51247, 51073, 51050, 51073, 51062, 51226, 53523, 63882, 70148, 51073, 50432, 51146, 53660, 51062, 52877, 51081, 71327, 63882, 70148, 51073, 50444, 50999, 58111, 50951, 71327, 63882, 70148, 51073, 76496 ]

[ 0, 713, 8787, 5175, 15229, 22750, 1626, 11098, 8, 1007, 6, 4246, 10, 20902, 20535, 2810, 6, 21072, 6, 2236, 1021, 2678, 29, 6, 38668, 9590, 6, 8, 26432, 636, 3938, 22052, 4, 8504, 11, 211, 3694, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 15352, 30054, 2125, 7630, 6568, 10, 2365, 8, 1035, 16464, 6, 19, 5, 40286, 230, 8, 211, 119, 16331, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51528, 51582, 55712, 50825, 51088, 60130, 51165, 60130, 51107, 60130, 51402, 53995, 53405, 50861, 69074, 67904, 51539, 51987, 53109, 50903, 51833, 51693, 52389, 51582, 55712, 54974, 50861, 61752, 67904, 51539, 53995, 53196, 56278, 50825, 51556, 51693, 57267, 69074, 67904, 54366, 51582, 51004, 51572, 53522, 54653, 50903, 52465, 54368, 50861, 69074, 67904, 51539, 79803, 54385, 62709, 54695, 50874, 51647, 63820, 50861, 69074, 67904, 51539, 52543, 50874, 51621, 79803, 50874, 51528, 51582, 55712, 56127, 79590, 50928, 79148, 51916, 53995, 53405, 50871, 51277, 50877, 51277, 50876, 51328, 79590, 50982, 79148, 69254, 52465, 51987, 53109, 79590, 50928, 79148, 52223, 60149, 79590, 50928, 79148, 54902, 51582, 55712, 54974, 50861, 69074, 67904, 50829, 79590, 51004, 79148, 51833, 53995, 53196, 79590, 50928, 79148, 63972, 52465, 51987, 53439, 79590, 50928, 79148, 51539, 51693, 57267, 69074, 67904, 50829, 79590, 50928, 79148, 54902, 51582, 66065, 79590, 50908, 79148, 51916, 53522, 54653, 79590, 50928, 79148, 63972, 71746, 54368, 79590, 50908, 79148, 58257, 51833, 79803, 54385, 79590, 50908, 79148, 54880, 67893, 71746, 54695, 59835, 79590, 50928, 79148, 52348, 63820, 79590, 50908, 79148, 59607, 52465, 52543, 58223, 79590, 50928, 79148, 51916, 79803, 50874, 51528, 51582, 55712, 50825, 51154, 60130, 51113, 60130, 51093, 60130, 51402, 53995, 53405, 50871, 61299, 62088, 57670, 71746, 51987, 53109, 50903, 51833, 60149, 52243, 51610, 71746, 55712, 54974, 50871, 61299, 62088, 51464, 53995, 53196, 50903, 51833, 51987, 50825, 51556, 51693, 57019, 61299, 62088, 54534, 51582, 51004, 51572, 53522, 54653, 50903, 71746, 54368, 50871, 61299, 62088, 57670, 51833, 79803, 54385, 52243, 51610, 71746, 54695, 50874, 51647, 63820, 50871, 61299, 62088, 50834, 62278, 50908, 79590, 50367, 51502, 51833, 52543, 58223, 62278, 50928, 79590, 52771, 79803, 50874, 50799, 62278, 50908, 79590, 59275, 51582, 55712, 56127, 62278, 50928, 79590, 52748, 53995, 53405, 50956, 51423, 74091, 50906, 51337, 62278, 50891, 79590, 69254, 71746, 51987, 53109, 62278, 50870, 79590, 80208, 51833, 60149, 62278, 50870, 79590, 55047, 67893, 71746, 55712, 54974, 50871, 61299, 62088, 50834, 62278, 50870, 79590, 69254, 71746, 53995, 53196, 62278, 50891, 79590, 69254, 51833, 51987, 53439, 62278, 50870, 79590, 69254, 71746, 51693, 57019, 61299, 62088, 50834, 62278, 50891, 79590, 55047, 67893, 71746, 66065, 62278, 50863, 79590, 67310, 71746, 53522, 54653, 62278, 50870, 79590, 69254, 71746, 54368, 65778, 50863, 66600, 67310, 51833, 79803, 54385, 52243, 51610, 71746, 54695, 50874, 51647, 63820, 50903, 52465, 52543, 58223, 50777, 50301, 52121, 50791, 79803, 50874, 51528, 51582, 55712, 50825, 51088, 60130, 51165, 60130, 51107, 60130, 51402, 53995, 53405, 50861, 69074, 67904, 64429, 52465, 51987, 50825, 51510, 51693, 52389, 51582, 55712, 54974, 50861, 61752, 67904, 51539, 53995, 53196, 50903, 52465, 51987, 50825, 51556, 51693, 57267, 69074, 67904, 54366, 51582, 51004, 51572, 53522, 54653, 50903, 71746, 54368, 50861, 69074, 67904, 64429, 51833, 79803, 54385, 52243, 51610, 71746, 54695, 50874, 51647, 63820, 50861, 69074, 67904, 64429, 52465, 52543, 50874, 51621, 79803, 50874, 51528, 51582, 55712, 56127, 79590, 50928, 79148, 51916, 53995, 53405, 50871, 51277, 50877, 51277, 50876, 51328, 79590, 50982, 79148, 69254, 52465, 51987, 53109, 79590, 50928, 79148, 52223, 60149, 79590, 50928, 79148, 54902, 51582, 55712, 54974, 50861, 69074, 67904, 50829, 79590, 51004, 79148, 51833, 53995, 53196, 79590, 50928, 79148, 63972, 52465, 51987, 53439, 79590, 50928, 79148, 51539, 51693, 57267, 69074, 67904, 50829, 79590, 50928, 79148, 54902, 51582, 66065, 79590, 50908, 79148, 51916, 53522, 54653, 79590, 50928, 79148, 63972, 71746, 54368, 79590, 50908, 79148, 58257, 51833, 79803, 54385, 79590, 50908, 79148, 54880, 67893, 71746, 54695, 59835, 79590, 50928, 79148, 52348, 63820, 79590, 50908, 79148, 59607, 52465, 52543, 58223, 79590, 50928, 79148, 51916, 79803, 50874, 51528, 51582, 55712, 50825, 51154, 60130, 51113, 60130, 51093, 60130, 51402, 53995, 53405, 50871, 61299, 62088, 57670, 71746, 51987, 53109, 50903, 51833, 60149, 52243, 51610, 71746, 55712, 54974, 50871, 61299, 62088, 51464, 53995, 53196, 50903, 51833, 51987, 50825, 51556, 51693, 57019, 61299, 62088, 54534, 51582, 51004, 51572, 53522, 54653, 50903, 71746, 54368, 50871, 61299, 62088, 57670, 51833, 79803, 54385, 52243, 51610, 71746, 54695, 50874, 51647, 63820, 50871, 61299, 62088, 50834, 62278, 50908, 79590, 50367, 51502, 51833, 52543, 58223, 62278, 50928, 79590, 52771, 79803, 50874, 50799, 62278, 50908, 79590, 59275, 51582, 55712, 53246, 61252, 62278, 50928, 79590, 52748, 53995, 53405, 50956, 51423, 74091, 50906, 51337, 62278, 50891, 79590, 52465, 51987, 53246, 51693, 50423, 62278, 50870, 79590, 52771, 68509, 52639, 62278, 50870, 79590, 55047, 51582, 55712, 53246, 57845, 50871, 61299, 62088, 50834, 62278, 50870, 79590, 52465, 53995, 53196, 62278, 50891, 79590, 69254, 51833, 51987, 53439, 62278, 50870, 79590, 52465, 68509, 52445, 50437, 51070, 54203, 50871, 61299, 62088, 50834, 62278, 50891, 79590, 55047, 51582, 54425, 54905, 62278, 50863, 79590, 52348, 53977, 53114, 62278, 50870, 79590, 52465, 52909, 53528, 65778, 50863, 66600, 52348, 68509, 52743, 65010, 59031, 54359, 51874, 51363, 52243, 52054, 50984, 53028, 55712, 50825, 51088, 60130, 51165, 60130, 51107, 60130, 51402, 53995, 53405, 52020, 50977, 56278, 50825, 51510, 60149, 52401, 50866, 72050, 75310, 53199, 55712, 68012, 53995, 53196, 50903, 51833, 51987, 53439, 52490, 51363, 50791, 51693, 51450, 51582, 51004, 51572, 53522, 54653, 52505, 50959, 51471, 51618, 79803, 54385, 52401, 51212, 72050, 75310, 53199, 54695, 50874, 51647, 63820, 50903, 51833, 54794, 51874, 51363, 50791, 51693, 51528, 51582, 55712, 56127, 79590, 50928, 79148, 51916, 53995, 53405, 79590, 50982, 79148, 50891, 52020, 50977, 56278, 53109, 79590, 50928, 79148, 52223, 60149, 79590, 50928, 79148, 50837, 52401, 50866, 72050, 75310, 53199, 55712, 54974, 79590, 51004, 79148, 51833, 53995, 53196, 79590, 50928, 79148, 63972, 51833, 51987, 53439, 79590, 50928, 79148, 50829, 52490, 51363, 50791, 64235, 79590, 50928, 79148, 54902, 51582, 66065, 79590, 50908, 79148, 51916, 53522, 54653, 79590, 50928, 79148, 50837, 52505, 50959, 67534, 79590, 50908, 79148, 51833, 79803, 54385, 79590, 50908, 79148, 50825, 52401, 51212, 72050, 75310, 53199, 54695, 59835, 79590, 50928, 79148, 52348, 63820, 79590, 50908, 79148, 59607, 51833, 54794, 79590, 50928, 79148, 50837, 51874, 51363, 50791, 51693, 51528, 51582, 55712, 50825, 51154, 60130, 51113, 60130, 51093, 60130, 51402, 53995, 53405, 52020, 50977, 56278, 50825, 51510, 60149, 52401, 50866, 72050, 75310, 53199, 55712, 68012, 53995, 53196, 50903, 51833, 51987, 53439, 52490, 62647, 51693, 51450, 51582, 51004, 51572, 53522, 54653, 52505, 50959, 51471, 51618, 79803, 54385, 52401, 51212, 72050, 75310, 53199, 54695, 50874, 51647, 63820, 62278, 50908, 79590, 50367, 51502, 51833, 54794, 62278, 50928, 79590, 50908, 51874, 51363, 50791, 51693, 50799, 62278, 50908, 79590, 59275, 51582, 55712, 56127, 62278, 50928, 79590, 52748, 53995, 53405, 62278, 50891, 79590, 50891, 52020, 50977, 56278, 53109, 62278, 50870, 79590, 52771, 60149 ]

[ 0, 250, 20902, 15855, 13305, 2125, 19, 10, 3495, 2712, 6, 278, 11, 381, 3694, 8, 702, 23, 41, 12447, 1001, 20889, 4, 20, 15229, 7630, 6568, 41, 20425, 8, 32076, 6711, 6, 19, 15352, 30054, 2301, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 20, 204, 73, 306, 86, 6543, 4719, 5, 2214, 16335, 25, 24, 17384, 5, 33215, 16739, 9, 3676, 406, 6, 1918, 6, 3676, 406, 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 ]

[ 56236, 51708, 50810, 51119, 52829, 51489, 52829, 51578, 51801, 50417, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52461, 50971, 52537, 55266, 52537, 53450, 51837, 50971, 51708, 57250, 52537, 53513, 53519, 50971, 52537, 55167, 52537, 53614, 52778, 50971, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 50844, 52778, 54626, 60310, 56936, 52537, 54194, 53519, 50971, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 51578, 50971, 52537, 55266, 52537, 53450, 52461, 50971, 51708, 57250, 52537, 53513, 51837, 50971, 52537, 55167, 52537, 53614, 52461, 50971, 60310, 58709, 52537, 53783, 51837, 50971, 52537, 55876, 52537, 54004, 52461, 50971, 60310, 56936, 52537, 54194, 51516, 50971, 52537, 56569, 52537, 50844, 64680, 50810, 51153, 52829, 51516, 52829, 51837, 51801, 50417, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 50810, 51099, 52829, 51275, 52829, 51516, 52337, 50417, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 55167, 52537, 53614, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 54004, 60310, 56936, 52537, 54194, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52461, 50971, 52537, 55266, 52537, 53450, 51837, 50971, 51708, 57250, 52537, 53513, 53519, 50971, 52537, 55167, 52537, 53614, 52778, 50971, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 50844, 52778, 54626, 60310, 56936, 52537, 54194, 53519, 50971, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 51578, 50971, 52537, 55266, 52537, 53450, 52461, 50971, 51708, 57250, 52537, 53513, 51837, 50971, 52537, 55167, 52537, 53614, 52461, 50971, 60310, 58709, 52537, 53783, 51837, 50971, 52537, 55876, 52537, 54004, 52461, 50971, 60310, 56936, 52537, 54194, 51516, 50971, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52461, 50971, 52537, 55266, 52537, 53450, 51837, 50971, 51708, 57250, 52537, 53513, 53519, 50971, 52537, 55167, 52537, 53614, 52778, 50971, 60310, 58709, 52537, 53783, 52537, 55876, 52537, 50844, 52778, 54626, 60310, 56936, 52537, 54194, 53519, 50971, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 51578, 50971, 52537, 55266, 52537, 53450, 52461, 50971, 51708, 57250, 52537, 53513, 51837, 50971, 52537, 55167, 52537, 53614, 52461, 50971, 60310, 58709, 52537, 53783, 51837, 50971, 52537, 55876, 52537, 54004, 52461, 50971, 60310, 56936, 52537, 54194, 51516, 50971, 52537, 56569, 52537, 50844, 56236, 51708, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 50844, 52040, 50912, 51198, 53720, 52537, 50844, 52040, 50912, 51198, 54123, 60310, 50844, 51280, 50851, 51232, 57366, 52537, 50844, 51280, 50912, 51232, 54653, 51232, 50941, 51099, 50886, 52537, 55876, 52537, 54004, 51232, 76423, 50867, 60310, 56936, 52537, 54194, 51119, 50941, 51153, 50886, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 50844, 51232, 50912, 51119, 56149, 52537, 50844, 51232, 50912, 51119, 54123, 60310, 50844, 51119, 50851, 51153, 57366, 52537, 50844, 51119, 50912, 51153, 53086, 51119, 50941, 51153, 50886, 52537, 55876, 52537, 54004, 73134, 51429, 50867, 60310, 56936, 52537, 54194, 51198, 50941, 51099, 50886, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 50844, 52040, 50912, 51198, 56149, 52537, 50844, 52040, 50912, 51198, 54123, 60310, 50844, 51280, 50851, 51232, 57366, 52537, 50844, 51280, 50912, 51232, 54653, 51232, 50941, 51099, 50886, 52537, 55876, 52537, 54004, 51232, 76423, 50867, 60310, 56936, 52537, 54194, 51119, 50941, 51153, 50886, 52537, 56569, 52537, 50844, 64680, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 50844, 51232, 50912, 51119, 56149, 52537, 50844, 51232, 50912, 51119, 54123, 60310, 50844, 51119, 50851, 51153, 57366, 52537, 50844, 51119, 50912, 51153, 53086, 51119, 50941, 51153, 50886, 52537, 55876, 52537, 54004, 73134, 51429, 50867, 60310, 56936, 52537, 54194, 51198, 50941, 51099, 50886, 52537, 56569, 52537, 50844, 61310, 56624, 52176, 54351, 52176, 55266, 52176, 53450, 51198, 57250, 52176, 53513, 52176, 50844, 51144, 50912, 51119, 56149, 52176, 50844, 51099, 50912, 51429, 54123, 50632, 56387, 50844, 51119, 50851, 51153, 57366, 50632, 52176, 50844, 51119, 50912, 51153, 54653, 50632, 73134, 51429, 50886, 52176, 55876, 50631, 52176, 54004, 50631, 51232, 50941, 51099, 50867, 56387, 58305, 50631, 52176, 54194, 50631, 51144, 76423, 50886, 52176, 56569, 50631, 52176, 50844, 56236, 51198, 56624, 52176, 54351, 52176, 55266, 52176, 53450, 51198, 57250, 52176, 53513, 52176, 50844, 51144, 50912, 51119, 56149, 52176, 50844, 51099, 50912, 51429, 54123, 50632, 56387, 50844, 51119, 50851, 51153, 57366, 50632, 52176, 50844, 51119, 50912, 51153, 54653, 50632, 73134, 51429, 50886, 52176, 55876, 50631, 52176, 54004, 50631, 51198, 50941, 51099, 50867, 56387, 58305, 50631, 52176, 54194, 50631, 51232, 76423, 50886, 52176, 56569, 50631, 52176, 50844, 56236, 51708, 56624, 52537, 54351, 52537, 55266, 52537, 53450, 51708, 57250, 52537, 53513, 52537, 50844, 51198, 50912, 51099, 56149, 52537, 50844, 51144, 50912, 51119, 54123, 60310, 50844, 51119, 50851, 51153, 57366, 52537, 50844, 51119, 50912, 51153, 54653, 73134, 51429, 50886, 52537, 55876 ]

[ 0, 250, 251, 2125, 9, 5175, 15855, 930, 6, 278, 11, 10, 155, 73, 306, 86, 6543, 8, 702, 23, 41, 12447, 1001, 20889, 4, 20, 13305, 5723, 5, 33301, 6, 7630, 14805, 10, 2933, 6, 3722, 5466, 14, 74, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 20, 15229, 16, 11, 5, 762, 9, 272, 3694, 8, 1575, 10, 33215, 16739, 9, 211, 8, 272, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 69827, 50900, 59010, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61660, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 60226, 50956, 66701, 50861, 51319, 69827, 50900, 56115, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61660, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 60226, 50956, 66701, 50861, 51319, 69827, 50900, 56115, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61036, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 51128, 61614, 66701, 50861, 51128, 75571, 50871, 62399, 50861, 62910, 50633, 50899, 58116, 50861, 51297, 56040, 61660, 50861, 57378, 50633, 50871, 62692, 50633, 50435, 50861, 75753, 50633, 55898, 72867, 50633, 50441, 50633, 50861, 51128, 50443, 50633, 61614, 75106, 50632, 50447, 50632, 50861, 74810, 50632, 69827, 50900, 59010, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61036, 50861, 58255, 50633, 50871, 59716, 50861, 64212, 50633, 50861, 63780, 50861, 60226, 50956, 66701, 50861, 51297, 69827, 50900, 56115, 50861, 58387, 50633, 50861, 58116, 50861, 61288, 50633, 50965, 61660, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 60226, 50956, 66701, 50861, 51319, 69827, 50900, 56115, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61036, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 51128, 61614, 66701, 50861, 51128, 75571, 50871, 62399, 50861, 62910, 50633, 50899, 58116, 50861, 51297, 56040, 61660, 50861, 60838, 50633, 50900, 62692, 50633, 50435, 50861, 73370, 50633, 62335, 50941, 50439, 50633, 50441, 50633, 50861, 51126, 50443, 50633, 50444, 50632, 51176, 50941, 50445, 50632, 50446, 50632, 50447, 50632, 50861, 51128, 69827, 51026, 59010, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61660, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 51297, 55989, 66701, 50861, 51319, 69827, 51026, 56115, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61660, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 51297, 55989, 66701, 50861, 51319, 69827, 51026, 56115, 50861, 64195, 50633, 50899, 63521, 50861, 61288, 50633, 50871, 61036, 50861, 57378, 50633, 50861, 59068, 50861, 60438, 50633, 50965, 63231, 50861, 60825, 50906, 57298, 50861, 51126, 75571, 50861, 64280, 50861, 58333, 50633, 50965, 58116, 50861, 51126, 53645, 61660, 50861, 56693, 50633, 50861, 62692, 50633, 50435, 50861, 70008, 50633, 64574, 72867, 50633, 50441, 50633, 50861, 51126, 50443, 50633, 55989, 75106, 50632, 50447, 50632, 50861, 74810, 50632, 69827, 51026, 59010, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61660, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 51297, 55989, 66701, 50861, 51319, 69827, 51026, 56115, 50861, 64195, 50633, 50861, 63521, 50861, 61288, 50633, 50965, 61660, 50861, 57378, 50633, 50871, 59716, 50861, 60438, 50633, 50861, 63780, 50861, 51297, 55989, 66701, 50861, 51319, 69827, 51026, 56115, 50861, 64195, 50633, 50871, 63521, 50861, 61288, 50633, 50861, 61036, 50861, 57378, 50633, 50965, 59068, 50861, 60438, 50633, 50906, 63231, 50861, 51126, 58365, 57298, 50861, 51126, 75571, 50965, 62399, 50861, 58333, 50633, 50871, 58116, 50861, 51126, 54439, 61660, 50861, 56693, 50633, 50956, 71588, 50633, 50434, 50633, 50435, 50633, 50861, 51126, 50436, 50633, 50437, 50632, 50438, 50632, 50871, 72867, 50632, 50440, 50632, 50441, 50632, 50861, 51126, 50442, 50632, 50443, 50632, 50444, 50632, 50899, 75106, 50632, 50446, 50632, 50447, 50632, 50861, 74810, 50632, 69827, 50900, 56115, 50861, 54731, 50323, 62910, 50634, 50861, 58116, 50861, 54191, 50323, 54689, 50633, 50965, 59399, 50861, 53529, 50323, 55286, 50633, 50871, 59068, 50861, 54191, 50323, 55108, 50633, 50861, 63231, 50861, 54191, 50323, 57522, 50956, 58554, 50861, 54731, 50323, 51000, 69827, 50900, 62227, 50861, 54731, 50323, 62910, 50634, 50861, 58116, 50861, 54191, 50323, 54689, 50633, 50965, 59399, 50861, 53529, 50323, 55286, 50633, 50871, 59068, 50861, 54191, 50323, 55108, 50633, 50861, 63231, 50861, 54191, 50323, 57522, 50956, 58554, 50861, 54731, 50323, 51000, 69827, 50900, 62227, 50861, 54731, 50323, 62910, 50633, 50861, 58116, 50861, 54191, 50323, 54689, 50633, 50965, 61660, 50861, 53529, 50323, 55286, 50633, 50871, 59068, 50861, 54191, 50323, 55108, 50633, 50861, 61173, 50861, 53529, 50323, 55368, 50956, 58554, 50861, 54191, 50323, 50971, 75571, 50871, 59834, 50861, 52666, 50323, 55772, 50633, 50899, 56295, 50861, 54191, 50323, 54689, 50956, 59399, 50861, 53529, 50323, 55286, 50633, 50871, 63520, 50633, 50435, 50861, 54191, 50323, 66861, 50633, 55898, 50941, 50439, 50633, 50441, 50633, 50861, 53529, 50323, 69869, 50633, 61614, 70435, 50632, 50447, 50631, 50861, 54191, 50323, 50971, 69827, 50900, 56115, 50861, 54731, 50323, 62910, 50633, 50861, 58116, 50861, 54191, 50323, 54689, 50633, 50965, 59399, 50861, 53529, 50323, 55286, 50633, 50871, 59068, 50861, 54191, 50323, 55108, 50633, 50861, 63231, 50861, 54191, 50323, 57522, 50956, 58554, 50861, 54731, 50323, 51000, 69827, 50900, 62227, 50861, 54731, 50323, 62910, 50633, 50861, 58116, 50861, 54191, 50323, 54689, 50633, 50965, 59399, 50861, 53529, 50323, 55286, 50633, 50871, 59068, 50861, 54191, 50323, 55108, 50633, 50861, 63231, 50861, 54191, 50323, 57522, 50956, 58554, 50861, 54731, 50323, 51000, 69827, 50900, 62227, 50861, 54731, 50323, 62910, 50633, 50861, 58116, 50861, 54191, 50323, 54689, 50633, 50965, 61660, 50861, 53529, 50323, 55286, 50633, 50871, 59068, 50861, 54191, 50323, 55108, 50633, 50861, 61173, 50861, 53529, 50323, 55368, 50956, 58554, 50861, 54191, 50323, 50971, 75571, 50871, 59834, 50861, 52666, 50323, 55772, 50633, 50899, 56295, 50861, 54191, 50323, 54689, 50633, 50956, 59399, 50861, 52666, 50323, 53998, 50633, 50900, 64248, 50633, 50435, 50861, 53529, 50323, 65219, 50633, 50438, 50633, 50997, 66090, 50633, 50440, 50633, 50441, 50632, 50861, 52386, 50323, 64100, 50632, 50443, 50632, 50444, 50632, 51176, 66880, 50632, 50446, 50632, 50447, 50631, 50861, 52666, 50323, 66185, 50631, 50449, 50631, 69827, 51214, 50822, 51026, 60685, 50629, 50951, 51609, 50327, 51609, 50330, 51682, 50335, 54475, 50633, 50861, 56295, 50861, 53529, 50323, 54654, 50633, 50965, 56789, 50861, 52666, 50323, 54854, 50633, 50871, 57039, 50861, 53529, 50323, 54728, 50633, 50861, 61173, 50861, 54191, 50323, 50971, 55989, 57298, 50861, 54191, 50323, 50971, 69827, 51214, 50844, 51026, 59636, 50630, 50951, 51609, 50327, 51609, 50330, 51689, 50335, 54878, 50633, 50861, 56295, 50861, 53529, 50323, 54654, 50633, 50965, 56789, 50861, 52666, 50323, 54854, 50633, 50871, 57039, 50861, 53529, 50323, 54728, 50633, 50861, 61173, 50861, 54191, 50323, 50971, 55989, 57298, 50861, 54191, 50323, 50971, 69827, 51214, 50844, 51026, 59636, 50630, 50951, 51609, 50327, 51609, 50330, 51682, 50335, 54475, 50633, 50899, 56295, 50861, 53529, 50323, 54654, 50633, 50871, 56789, 50861, 52666, 50323, 54854, 50633, 50861, 55643, 50861, 53529, 50323, 54728, 50633, 50965, 59356, 50861, 52386, 50323, 54758, 50906, 56197 ]

[ 0, 250, 251, 6, 19448, 5175, 8, 25771, 2125, 19, 10, 5679, 26709, 8, 15352, 30054, 5466, 6, 4246, 21979, 8669, 6, 3152, 6757, 6, 21072, 6, 2236, 1021, 2678, 29, 6, 8, 5730, 2342, 4467, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 7212, 20889, 9, 8162, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 274, 6, 211, 119, 406, 6, 8, 163, 428, 6, 7630, 14805, 10, 3366, 219, 8, 25306, 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 ]

[ 57211, 50799, 50773, 50299, 52829, 53271, 51806, 53271, 51806, 50798, 52731, 50416, 51504, 52034, 51504, 52034, 50419, 51246, 51432, 51246, 51432, 50422, 73636, 50970, 64078, 50929, 51006, 50929, 51006, 50843, 51254, 50429, 51064, 51124, 51064, 65903, 51246, 50851, 51246, 55270, 50970, 51797, 50970, 51797, 50438, 51032, 52188, 51032, 52188, 50444, 51246, 50984, 51246, 60979, 50970, 51166, 50970, 51166, 51064, 51961, 51064, 51961, 57702, 51376, 50453, 50929, 52460, 50929, 52460, 50456, 80067, 51246, 58247, 50970, 51210, 50970, 51210, 76572, 52188, 53271, 52188, 50798, 51824, 50417, 51504, 52063, 51504, 52063, 50420, 51246, 51142, 51246, 75431, 50986, 50959, 50986, 57818, 78348, 50960, 64321, 51254, 50429, 50970, 51025, 50970, 59102, 51246, 50827, 51246, 53720, 70899, 50986, 56180, 68236, 50929, 60887, 50970, 51884, 50970, 51884, 50444, 51246, 50984, 51246, 60979, 50960, 51884, 50960, 51884, 57702, 51376, 50453, 50970, 52256, 50970, 52256, 50456, 69210, 51246, 57467, 50986, 52482, 50986, 52482, 76572, 52056, 53271, 52056, 50798, 51524, 50417, 51504, 52059, 51504, 52059, 50420, 51246, 51376, 51246, 51376, 50423, 50970, 51008, 50970, 57630, 50929, 50981, 50929, 50981, 50843, 51142, 50429, 51064, 51203, 51064, 73195, 51246, 50933, 51246, 65153, 50970, 51965, 50970, 51965, 50438, 51032, 52188, 51032, 52188, 50444, 69210, 51246, 57764, 51064, 51965, 51064, 51965, 57702, 51376, 50453, 50929, 51466, 50929, 80076, 51246, 50971, 51246, 61545, 50970, 52518, 50970, 52518, 76572, 51852, 53271, 51852, 50798, 51862, 50417, 51504, 51166, 51504, 65978, 51246, 50984, 51246, 57079, 50986, 51051, 50986, 59386, 50960, 51380, 50960, 51380, 50843, 51254, 50429, 50970, 51043, 50970, 64669, 51246, 50822, 51246, 54378, 62590, 50986, 54938, 66522, 50929, 58862, 50970, 51884, 50970, 51884, 50444, 51246, 51524, 51246, 51524, 50447, 50960, 52059, 50960, 52059, 57702, 51142, 50453, 50970, 52519, 50970, 52519, 50456, 51246, 50971, 51246, 61545, 50986, 51884, 50986, 51884, 76572, 51709, 53271, 51709, 50798, 51524, 54677, 52720, 52280, 52192, 53016, 51824, 50417, 51504, 52059, 51504, 52059, 50420, 51246, 51365, 51246, 51365, 50423, 50986, 50955, 50986, 50955, 52280, 52179, 51992, 51862, 65404, 50987, 50960, 69163, 51142, 50429, 50970, 51110, 50970, 66440, 51246, 51008, 51246, 51008, 52280, 52192, 51850, 51862, 50435, 62590, 50986, 54938, 66522, 50929, 58862, 50970, 51753, 50970, 51753, 50444, 51246, 51210, 51246, 51210, 50447, 50960, 51884, 50960, 51884, 57702, 51142, 50453, 50970, 52598, 50970, 52598, 50456, 69210, 51246, 57467, 50986, 52063, 50986, 52063, 76572, 52188, 53271, 52188, 50798, 51862, 52280, 51022, 51760, 51123, 50417, 51504, 51884, 51504, 51884, 50420, 51246, 51210, 51246, 51210, 52280, 51269, 51850, 68874, 50986, 51051, 50986, 51051, 52280, 51550, 51992, 57252, 63232, 63232, 50843, 51142, 50429, 50970, 51212, 50970, 51212, 52280, 54298, 51992, 60838, 51246, 50822, 51246, 50822, 51850, 60968, 68103, 68103, 50437, 54491, 51703, 50438, 65423, 65423, 50441, 50970, 51753, 50970, 51753, 50444, 51246, 51365, 51246, 51365, 50447, 50960, 52059, 50960, 52059, 50449, 54251, 51333, 57702, 51210, 50453, 50970, 52136, 50970, 52136, 50456, 51246, 50971, 51246, 61545, 50986, 51884, 50986, 51884, 50799, 54432, 51709, 54432, 51709, 50798, 51524, 54997, 55392, 52280, 52179, 53016, 51524, 50417, 51444, 51074, 51444, 63961, 51207, 51142, 51207, 51142, 50422, 73065, 50986, 60988, 52280, 52167, 51992, 55124, 63880, 50960, 57121, 51142, 50429, 50970, 51043, 50970, 64669, 51207, 50810, 51207, 50810, 52280, 52167, 51850, 52179, 50435, 50986, 50978, 50986, 60676, 66522, 50929, 58862, 50970, 51753, 50970, 51753, 50444, 51207, 51000, 51207, 66701, 50960, 52059, 50960, 52059, 57702, 51210, 50453, 50970, 52407, 50970, 52407, 50456, 51207, 50971, 51207, 61545, 50986, 52482, 50986, 52482, 50799, 54432, 51576, 54432, 51576, 50798, 52192, 52280, 51123, 51760, 51123, 50417, 51444, 51884, 51444, 51884, 50420, 51207, 51524, 51207, 51524, 52280, 51697, 51850, 68874, 50986, 51051, 50986, 51051, 51992, 55070, 64484, 50960, 61724, 51254, 50429, 50970, 51423, 50970, 51423, 52280, 51697, 51992, 57959, 51207, 50959, 51207, 50959, 51850, 63801, 66192, 50986, 54137, 59028, 59028, 56148, 51466, 52280, 51252, 51992, 70546, 50970, 51309, 50970, 72379, 51207, 51142, 51207, 51142, 52280, 51252, 51850, 65932, 50960, 51481, 50960, 73265, 51207, 50984, 51207, 64930, 51210, 54997, 51806, 52280, 51319, 51760, 51022, 50452, 50970, 52136, 50970, 52136, 50456, 51207, 51210, 51207, 51210, 52280, 51319, 51850, 68248, 50986, 51884, 50986, 51884, 50461, 53271, 52378, 53271, 52378, 51528, 51862, 54677, 52720, 52280, 52167, 53016, 67985, 51504, 52063, 51504, 52063, 50420, 51246, 51365, 51246, 51365, 50423, 50986, 50955, 50986, 50955, 52280, 51252, 51992, 55124, 78348, 50960, 64321, 51210, 50429, 50970, 51212, 50970, 68181, 51246, 50822, 51246, 50822, 52280, 52179, 51850, 52179, 50435, 50986, 50978, 50986, 60676, 50929, 50959, 50929, 50959, 50441, 50970, 51642, 50970, 51642, 50443, 51246, 51142, 51246, 51142, 50447, 50960, 51884, 50960, 51884, 57702, 51254, 50453, 50970, 52263, 50970, 52263, 50456, 69210, 51246, 57467, 50986, 52063, 50986, 52063, 76572, 52056, 53271, 52056, 50798, 51862, 52280, 51022, 51760, 51123, 50417, 51504, 52518, 51504, 52518, 50420, 51246, 51210, 51246, 51210, 52280, 51697, 51850, 51022, 50422, 70899, 50986, 67829, 51992, 55124, 63557, 63557, 50843, 51142, 50429, 50970, 51233, 50970, 51233, 52280, 54861, 51992, 57378, 51246, 76223, 50810, 51850, 60968, 50986, 51058, 50986, 51058, 50437, 54491, 76357, 50929, 51051, 50929, 51051, 50441, 50970, 51753, 50970, 51753, 50444, 51246, 51210, 51246, 51210, 50447, 50960, 52482, 50960, 52482, 50449, 54251, 51330, 57702, 51376, 50453, 50970, 52136, 50970, 52136, 50456, 51504, 50908, 51504, 56013, 50986, 52063, 50986, 52063, 50799, 54432, 52188, 54432, 52188, 50798, 51524, 54997, 55392, 52280, 51862, 53016, 51524, 50417, 51444, 51884, 51444, 51884, 50420, 51207, 51051, 51207, 75912, 50986, 50959, 50986, 50959, 52280, 51524, 51992, 55124, 62151, 50960, 57290, 51142, 50429, 50970, 51101, 50970, 62118, 51207, 50822, 51207, 50822, 52280, 52179, 51850, 51862, 50435, 68103, 50986, 56480, 66522, 50929, 58862, 50970, 51753, 50970, 51753, 50444, 51207, 50941, 51207, 57298, 50960, 51884, 50960, 51884, 57702, 51753, 50453, 50970, 52598, 50970, 52598, 50456, 51207, 50907, 51207, 57467, 50986, 52460, 50986, 52460, 50843, 50912, 50799, 54432, 51709, 54432, 51709, 50798, 51824, 52280, 51123, 51760, 51123, 50417, 51444, 51884, 51444, 51884, 50420, 51207, 51210, 51207, 51210, 52280, 51269, 51850, 66495, 50986, 50955, 50986, 50955, 52280, 51297, 51992, 55070, 63232, 63232, 50843, 51142, 50429, 50970, 51363, 50970, 51363, 52280, 52731, 51992, 57959, 51207, 50822, 51207, 50822, 51850, 60968, 62770, 50986, 52718, 68236, 68236, 52280, 51128, 51992, 74593, 50970, 51753, 50970, 51753, 52280, 52731, 51992, 62232, 51207, 51142, 51207, 51142, 51850, 52101, 50447, 50960, 51679, 50960, 51679, 57702, 51254, 52280, 51550, 51760, 51252, 50453, 50970, 51806, 50970, 51806, 50456, 51207, 50907, 51207, 50907, 52280, 51550, 51850, 79207, 74586, 74586, 55970, 54532, 55575, 51490, 52817, 51328 ]