benjamintli/bart_midi_dataset · Datasets at Hugging Face

input_ids sequencelengths 1.02k 1.02k	attention_mask sequencelengths 1.02k 1.02k	labels sequencelengths 1.02k 1.02k
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21072, 6, 326, 5638, 18026, 6, 8, 3459, 9590, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 211, 6, 274, 10431, 6, 163, 119, 6, 211, 406, 6, 8, 272, 3639, 7, 63, 17627, 17274, 8, 19448, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 66243, 52060, 53263, 52060, 52877, 52060, 52815, 50861, 50911, 51553, 53562, 50877, 51500, 51553, 52961, 51224, 50805, 51553, 50845, 52563, 52195, 50973, 53275, 50318, 51227, 50861, 66154, 68518, 70022, 61725, 57338, 55099, 50920, 55054, 50920, 53450, 50973, 60910, 67005, 53308, 50801, 58553, 54938, 51213, 51541, 50973, 52370, 50298, 51048, 50956, 73450, 60939, 65439, 51016, 50920, 53704, 52692, 50861, 51030, 50920, 55437, 50973, 60910, 57338, 53702, 51213, 52370, 50315, 51496, 50920, 50972, 53400, 51551, 51315, 51189, 50968, 51343, 50973, 66914, 57338, 55099, 51086, 51738, 50920, 55054, 50920, 50844, 51768, 53127, 53308, 50973, 56365, 54390, 53264, 50927, 51551, 50902, 53177, 50306, 51351, 51026, 78776, 51364, 50973, 63524, 57338, 53969, 50920, 55437, 50973, 70693, 57338, 53702, 50861, 53241, 50920, 50972, 54272, 52017, 50916, 51417, 50876, 52392, 51026, 52392, 50861, 51894, 50801, 53765, 50951, 52633, 79411, 50951, 52640, 50304, 51446, 50438, 50951, 56160, 50968, 51139, 59827, 50968, 50961, 52288, 52017, 50968, 51379, 50989, 51358, 50902, 51941, 50877, 51585, 51378, 51933, 50801, 52774, 50804, 50845, 51302, 52605, 50804, 52322, 50804, 53999, 50899, 72885, 52596, 50989, 56956, 50845, 52721, 51014, 56871, 50805, 51756, 51014, 52563, 51541, 50899, 51391, 50861, 51623, 50902, 51685, 50973, 51623, 51026, 51538, 51718, 51015, 50806, 51760, 51354, 51039, 51074, 51768, 51239, 50901, 51760, 65846, 50953, 52640, 50306, 73841, 52839, 51074, 51760, 51573, 53758, 51551, 51718, 51015, 52692, 50861, 55744, 51074, 51955, 51575, 50901, 51453, 51074, 55194, 51551, 51086, 51103, 50956, 51183, 50989, 51623, 50973, 51623, 51001, 51623, 51718, 51015, 50806, 51039, 51074, 51768, 52201, 50901, 51361, 59171, 50845, 53399, 58395, 51415, 51090, 51718, 51015, 50806, 52235, 57816, 51086, 53417, 51074, 51992, 56827, 51105, 53177, 50310, 71074, 51041, 50901, 52678, 50923, 51453, 51074, 51971, 52311, 53400, 51541, 50861, 51294, 51086, 73757, 51896, 51315, 51161, 51718, 51015, 50806, 51039, 51074, 51768, 51239, 54777, 51019, 79232, 66408, 51362, 51895, 51015, 53264, 51019, 51551, 50801, 51575, 69692, 50861, 57536, 51086, 54196, 56989, 50956, 50367, 51698, 51575, 50901, 51971, 50923, 51453, 51074, 51850, 51552, 52563, 51496, 50899, 51362, 78433, 50973, 51446, 50931, 51196, 51026, 51585, 51718, 51015, 50806, 51039, 51074, 51768, 51239, 54777, 51011, 53177, 50303, 51496, 50801, 52839, 51074, 53399, 50923, 51658, 51575, 50901, 52235, 57816, 50953, 53275, 50318, 51575, 51074, 51992, 56827, 51415, 51566, 50899, 50940, 50903, 51575, 50901, 52678, 50923, 51453, 51074, 51971, 51552, 54272, 51541, 50861, 51189, 50876, 51413, 50968, 51661, 51026, 51941, 50801, 51575, 50901, 51039, 51074, 51768, 51239, 50901, 51971, 57067, 50953, 52640, 50308, 73503, 52839, 51074, 51756, 58395, 51133, 51551, 51718, 51015, 50806, 51971, 57816, 50861, 55271, 51074, 51992, 51054, 51955, 51041, 50901, 51453, 51074, 52678, 51552, 56540, 51496, 50899, 51218, 50989, 51446, 50902, 51941, 50877, 51941, 50801, 51575, 50901, 51039, 51074, 51768, 51239, 54777, 51011, 77506, 61986, 52839, 51074, 51760, 58395, 51271, 51496, 51718, 51015, 50806, 52678, 57816, 51120, 63576, 51074, 51992, 50923, 56279, 50923, 55347, 50901, 52235, 57241, 51011, 54065, 51074, 51760, 52311, 52563, 51541, 50899, 51294, 50973, 51417, 50902, 51336, 50861, 51336, 51026, 51933, 50801, 51575, 50901, 51039, 51074, 51768, 51239, 54777, 50953, 52640, 50303, 51294, 51895, 51015, 53264, 50953, 51551, 51718, 51015, 50806, 51180, 51074, 51955, 51041, 50901, 51453, 51074, 51760, 50923, 52288, 51541, 50899, 60015, 52530, 50318, 52297, 50294, 51091, 50989, 73841, 50896, 51971, 50923, 53085, 58808, 51760, 50923, 53399, 50923, 51768, 50896, 51971, 50923, 53085, 57067, 50927, 52282, 51120, 62571, 51362, 50899, 51362, 50989, 51294, 50877, 51362, 51760, 51552, 52235, 51552, 51658, 52704, 50808, 53525, 53103, 50816, 52610, 51553, 50805, 52721, 57241, 51224, 50845, 51756, 50923, 52563, 51573, 50899, 51419, 50902, 51294, 50861, 51191, 50973, 51241, 51026, 51894, 51838, 76914, 51575, 50901, 51760, 51054, 51039, 51074, 51768, 52201, 50901, 51760, 57067, 50953, 52640, 50315, 51427, 50861, 57231, 52839, 51074, 51760, 51552, 53758, 51551, 50801, 51575, 50901, 51180, 54419, 55876, 50920, 53567, 51086, 50940, 55347, 56169, 50849, 51453, 56275, 50972, 55194, 51551, 51086, 51362, 50989, 51364, 51001, 51285, 50973, 51336, 53541, 51542, 52332, 51097, 52187, 51097, 52340, 68108, 51575, 50901, 51039, 51074, 51768, 52201, 54777, 51086, 51294, 51895, 51015, 50845, 53399, 58395, 51415, 67812, 51575, 50901, 52235, 57816, 50989, 50893, 51895, 51035, 50844, 51992, 50923, 61296, 53567, 51105, 53177, 50303, 50830, 55347, 56169, 50849, 52678, 50923, 51453, 56275, 50972, 51971, 52311, 53400, 51541, 50973, 51623, 50968, 51977, 51315, 51933, 56617, 51542, 51615, 51542, 52187, 51542, 52225, 51477, 51718, 51015, 50806, 51039, 55752, 51026, 51158, 59491, 54777, 51019, 52640, 50303, 67812, 52839, 55659, 51019, 51551, 50801, 51575, 55945, 51026, 51173, 51895, 51035, 55876, 50920, 50851, 51955, 51041, 56169, 50849, 51992, 50923, 51453, 54419, 50972, 51850, 51552, 52563, 51496, 50861, 51417, 50973, 51417, 50931, 51356, 50902, 51077, 51026, 52500, 53817, 51477, 51615, 51542, 52187, 51477, 52036, 51542, 51718, 51015, 50806, 51039, 51074, 51768, 51239, 54777, 51011, 53177, 50306, 73503, 52839, 51074, 53399, 50923, 51658, 51575, 50901, 52235, 57816, 50953, 53275, 50318, 50835, 50973, 61381, 51343, 51895, 51035, 50844, 51992, 50923, 61296, 53567, 51415, 51566, 51086, 51215, 55347, 56169, 50849, 52678, 57241, 50902, 50923, 51895, 51035, 50972, 51971, 51552, 54272, 51541, 50900, 51189, 50861, 51446, 50968, 51336, 50876, 51336, 51085, 51977, 52133, 51477, 51615, 51749, 51711, 51749, 52225, 51749, 51718, 51015, 50806, 51039, 51074, 51768, 51239, 50901, 51971, 57067, 50953, 52640, 50304, 51274, 51895, 51015, 50845, 51756, 58395, 51133, 51551, 50801, 51575, 50901, 51971, 57816, 50861, 51215, 51895, 51035, 50844, 51992, 51054, 61296, 53567, 51085, 65465, 51041, 56169, 50849, 51453, 54419, 50972, 52678, 51552, 56540, 51496, 50899, 51446, 50989, 51472, 50902, 51336, 50877, 51977, 57633, 51244, 52332, 51244, 51656, 51244, 51838, 51244, 51718, 51015, 50806, 51039, 51074, 51768, 51239, 54777, 51011, 52370, 50294, 67607, 52839, 51074, 51760, 58395, 51271, 51496, 51718, 51015, 50806, 52678, 50923, 55989, 51173, 51895, 51035, 50844, 51992, 50923, 61296, 53567, 50989, 60629, 51041, 56169, 50849, 52235, 57241, 51011, 54065, 56275, 50972, 51992, 56073, 52563, 51541, 50899, 51318, 51026, 51991, 50902, 52392, 50861, 51605, 50973, 51945, 53817, 52015, 51881, 52015, 51615, 52015, 52187, 52015, 51718, 51015, 50806, 51039, 51074, 51768, 52201, 54777, 50953, 52640, 50303, 80171, 52839, 51074, 55208, 51551, 50801, 51575, 50901, 51180, 54419, 55876, 50920, 53567, 50899, 51212, 55347, 56169, 50849, 51453, 56275, 50972, 52563, 52017, 50973, 51358, 50861, 51358, 51026, 51933, 51206, 70303, 52060, 53263, 52060, 52729, 52060, 52692, 51553, 53562, 51224, 75615, 52961, 51224, 50845, 51992, 50923, 54272, 53177, 50304, 64464, 51623, 50876, 51486, 50968, 51161, 51026, 51941, 52033, 51445, 51718, 51015, 50806, 51992 ]
[ 0, 250, 15352, 30054, 8, 5679, 26709, 5175, 2125, 19, 3495, 16882, 6, 4246, 21979, 8669, 6, 2342, 4467, 6, 3551, 139, 6, 6755, 12547, 6, 8, 3459, 9590, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 163, 5683, 4, 20, 15229, 7630, 6568, 10, 19448, 5466, 19, 17878, 9, 1619, 8, 657, 6, 25, 24, 30853, 81, 10, 6143, 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 ]	[ 54458, 50433, 53011, 51060, 51570, 62078, 54648, 51060, 50443, 50852, 54255, 54358, 51060, 50448, 51762, 50454, 50945, 51422, 52693, 52335, 54165, 52335, 59624, 51358, 52428, 51865, 53902, 78334, 51809, 50872, 50845, 76356, 79168, 51544, 55882, 50903, 52565, 55851, 51112, 50872, 51025, 75251, 51471, 50443, 62835, 50448, 51019, 51422, 53278, 52335, 52507, 52335, 54358, 51358, 53804, 57297, 50885, 51047, 50459, 50868, 67567, 58077, 51471, 51809, 50939, 51397, 50422, 55722, 52844, 55851, 51048, 69014, 50433, 56270, 62835, 50443, 50945, 51422, 54165, 56235, 54648, 55956, 73739, 59698, 50885, 51422, 50454, 50872, 50845, 72446, 75092, 51809, 51340, 51502, 56171, 61814, 63588, 50437, 52093, 53357, 66099, 58829, 50885, 51025, 50448, 54648, 51048, 63588, 60786, 57208, 79168, 50458, 52093, 50459, 51069, 51134, 56991, 51112, 50903, 50818, 51601, 51471, 52906, 57466, 55851, 51048, 50872, 66038, 51471, 76752, 53840, 52417, 51096, 51422, 53361, 52335, 70774, 51291, 53804, 53219, 51017, 51109, 50442, 51471, 50443, 63588, 50448, 50939, 51047, 50452, 52093, 50454, 59885, 51291, 50903, 53902, 63588, 51809, 51017, 51025, 76356, 63588, 50427, 51069, 51714, 52684, 52335, 55769, 51358, 53804, 52844, 51017, 60610, 50872, 53840, 51437, 58616, 50850, 51397, 50448, 50903, 57868, 52093, 50459, 59885, 51048, 78550, 50460, 51471, 51809, 51017, 74027, 51096, 51422, 53361, 56235, 63312, 51048, 53804, 55882, 51017, 51452, 50432, 70774, 51605, 63588, 56270, 50939, 51397, 50442, 52093, 50443, 50903, 53545, 51471, 50454, 78550, 50459, 50945, 63593, 50845, 51809, 51133, 50866, 61246, 57466, 51186, 51422, 51017, 68988, 51471, 50427, 70774, 51048, 50872, 53840, 52417, 76878, 50436, 62246, 63312, 51112, 50903, 53905, 67534, 56345, 50448, 56991, 51048, 79934, 50452, 51471, 50454, 50798, 54359, 51105, 51714, 53953, 52335, 54165, 52335, 55851, 51358, 53804, 50828, 51809, 51037, 51422, 50421, 76356, 50979, 51134, 50427, 50939, 51397, 50431, 76372, 50903, 58408, 51471, 50443, 70774, 51048, 76322, 50448, 50979, 51109, 50454, 51105, 51422, 52507, 52335, 53361, 52335, 54358, 51358, 53804, 54370, 51037, 51047, 51809, 51017, 67567, 65666, 56856, 79168, 50427, 55722, 58414, 56991, 51048, 51017, 61148, 51471, 50443, 51037, 50866, 50448, 51325, 51422, 53953, 56235, 54165, 56235, 55851, 51605, 53804, 54363, 50885, 51452, 50459, 50979, 50866, 51471, 51809, 50847, 51452, 50421, 51340, 51502, 52209, 50979, 51109, 51471, 50437, 50885, 50845, 50442, 52093, 50443, 51325, 71382, 59698, 50885, 51452, 50453, 55851, 51048, 50979, 50845, 60786, 54359, 79168, 51601, 52093, 50416, 70774, 51048, 50903, 59335, 56982, 50852, 55882, 55851, 51112, 50979, 51025, 50430, 51471, 51974, 56305, 50953, 51422, 52693, 52335, 53361, 52335, 56991, 51358, 53804, 59117, 51017, 51452, 50447, 51471, 50448, 50872, 51397, 50453, 50939, 51134, 50457, 52093, 50458, 50903, 50818, 55753, 55851, 51048, 76322, 56457, 51017, 53387, 50964, 51422, 53278, 52335, 52507, 52335, 54850, 51358, 53804, 58414, 50885, 51422, 50442, 50868, 66099, 58780, 51471, 50448, 50939, 51134, 50453, 50903, 57109, 52093, 51809, 56991, 51112, 76877, 80077, 50868, 54278, 50945, 51422, 52693, 54249, 54165, 54249, 54648, 55956, 55882, 76372, 50885, 51047, 50437, 63588, 51471, 50442, 79168, 50448, 55722, 57461, 78550, 51471, 51809, 50964, 56566, 50845, 51039, 57987, 50953, 53840, 52905, 50945, 51452, 50885, 51397, 50431, 61814, 50872, 54035, 56305, 75242, 51572, 59117, 50903, 60794, 78550, 51456, 54944, 50885, 51025, 51326, 57461, 50798, 50820, 51809, 51186, 51422, 52428, 51865, 50818, 52184, 51048, 50421, 51017, 51397, 50426, 63588, 51471, 52170, 51291, 50432, 50939, 51452, 50436, 52093, 50437, 50903, 58408, 63588, 50448, 51017, 51109, 51471, 51783, 51048, 50453, 79934, 50458, 51325, 51422, 53804, 50828, 51567, 51112, 51809, 51017, 51397, 50421, 50872, 54035, 50820, 51722, 51291, 50422, 56457, 50939, 72816, 55722, 58414, 76322, 50442, 51017, 51025, 53444, 51112, 50443, 51471, 50448, 63588, 50453, 50953, 51422, 67003, 51722, 51048, 50454, 52093, 50458, 50885, 51047, 51809, 70987, 51471, 51986, 51048, 50421, 50939, 72270, 51340, 51502, 50818, 51555, 51112, 50437, 69014, 51471, 51783, 51048, 50442, 62835, 51618, 59698, 51019, 71382, 54363, 50885, 51109, 50458, 51017, 54035, 51437, 50829, 51809, 76877, 51039, 57987, 51017, 70571, 58423, 56457, 50885, 72416, 50852, 52844, 51037, 57815, 51471, 50437, 50885, 53840, 58655, 50964, 51422, 53804, 61425, 51471, 50453, 50988, 51397, 50799, 52093, 50416, 50885, 51101, 50903, 58158, 72419, 59812, 50901, 61814, 51019, 72300, 51332, 51534, 50437, 50953, 50866, 53804, 53219, 50885, 51312, 50988, 51283, 50440, 50868, 51363, 50442, 51133, 51452, 50443, 70249, 50448, 50909, 58747, 56399, 54786, 51388, 50903, 50818, 51601, 52093, 50417, 52861, 51388, 50421, 56345, 50424, 52387, 51388, 51544, 56657, 51756, 52097, 50945, 51397, 54165, 52335, 52428, 51865, 56359, 78334, 50442, 63588, 67534, 50847, 50845, 50452, 52093, 50453, 51756, 51388, 50903, 56637, 78334, 50460, 51756, 51388, 51601, 50872, 50845, 51471, 50419, 51756, 51388, 50421, 50945, 50866, 50847, 53840, 57074, 61862, 51756, 51573, 51096, 51422, 52583, 52335, 53361, 52335, 50798, 59185, 51037, 51134, 50436, 51471, 50437, 57140, 50442, 51760, 51021, 63588, 50446, 80190, 52861, 51454, 50903, 56086, 51471, 50453, 51037, 59084, 52579, 56345, 50458, 52387, 51603, 50848, 51025, 50799, 51471, 76750, 55085, 51756, 56073, 50945, 51397, 54165, 56235, 53804, 52905, 78334, 50430, 51471, 50431, 63588, 52795, 50865, 50436, 50847, 50845, 52494, 50795, 51572, 59117, 56496, 51112, 50903, 53641, 78334, 50452, 79934, 54650, 51048, 51471, 50458, 50945, 50866, 50847, 53840, 50820, 51601, 50945, 51397, 52795, 51161, 53804, 52981, 50885, 72038, 63588, 51471, 50431, 57420, 50436, 54786, 51388, 50903, 56359, 52093, 50442, 50885, 59486, 52616, 52861, 51388, 50447, 63588, 50448, 51471, 50451, 52387, 51388, 50452, 50945, 56566, 54667, 70634, 52280, 51573, 51096, 51397, 53361, 56235, 53804, 50828, 51601, 51037, 51134, 58082, 51109, 56457, 50847, 50845, 50431, 52280, 51388, 51340, 51502, 58024, 51037, 67082, 52280, 51388, 50442, 73304, 52795, 51048, 51471, 50445, 52280, 51388, 50447, 51096, 50866, 50847, 53840, 60752, 52280, 51573, 51228, 51422, 54568, 51161, 61246, 57461, 51037, 51134, 51601, 51756, 51603, 51017, 51025, 51471, 50420, 57420, 50425, 61862, 52861, 72633, 54013, 51471, 50431, 53037, 51021, 51037, 59084, 53908, 56345, 50436, 53037, 51454, 51017, 51109, 50440, 51471, 50442, 50847, 59956, 52861, 53435, 50945, 51397, 54165, 56235, 53804, 61425, 78334, 50457, 51471, 50458, 50872, 50845, 52795, 51048, 51601, 57420, 50419, 52093, 50420, 53602, 51112, 50903, 52437, 78334, 50431, 50872, 50845, 52795, 51048, 51471, 50436, 50945, 50866, 50847, 53840, 58655, 50945, 51397, 56496, 51161, 53804, 54255, 78334, 50452, 63588, 50453, 51471, 50458, 57420, 51601, 52387, 51388, 51093, 50845, 55722, 52981, 78334, 51201, 53840, 56818, 51756, 75274, 63588, 51182, 50866, 51471, 50429, 51850, 51388, 50431, 50945, 54667, 50845, 51304, 50845, 50436, 51992, 52097, 51096, 51397, 53361, 56235, 50798, 58414, 52093, 50442, 51037, 51134, 50447, 51017, 51109, 51471, 50452, 57420, 50457, 52093, 50458, 51992, 51388, 50903 ]
[ 0, 713, 8787, 5175, 15229, 16, 10, 13363, 28191, 3251, 149, 15352, 30054, 8, 20425, 2369, 3866, 22179, 6, 19, 10, 2842, 9, 15073, 8, 10, 11299, 16464, 4, 20, 13602, 6757, 1239, 5, 483, 6, 2800, 30, 38668, 9590, 6, 21979, 8669, 6, 3741, 27374, 594, 6, 8, 38668, 22052, 6, 70, 1375, 23, 10, 20902, 12701, 4450, 20889, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 274, 3694, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 230, 119, 6, 272, 119, 6, 1918, 406, 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 ]	[ 63515, 50796, 50799, 52479, 50800, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 62716, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 54183, 52479, 50874, 54551, 51470, 55925, 51470, 57605, 51470, 56348, 51254, 58328, 51254, 59523, 69925, 52479, 50907, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 60481, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 53962, 52479, 50800, 54551, 51470, 55925, 51470, 57605, 51470, 56348, 51254, 58328, 51254, 59523, 70448, 52479, 50874, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 60895, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 54485, 52479, 50907, 54551, 51470, 55925, 51470, 57605, 51470, 56348, 51254, 58328, 51254, 59523, 67042, 52479, 50800, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 60491, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 54059, 52479, 50874, 54551, 51470, 55925, 51470, 57605, 51470, 56348, 51254, 58328, 51254, 59523, 51254, 50799, 53714, 50800, 52479, 50907, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 62716, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 54183, 53714, 50874, 54607, 51470, 54551, 51470, 55925, 51470, 54677, 51254, 56348, 51254, 58328, 69925, 53714, 50984, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 60481, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 53962, 53714, 50800, 54607, 51470, 54551, 51470, 55925, 51470, 54677, 51254, 56348, 51254, 58328, 70448, 53714, 50874, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 60895, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 54485, 53714, 52101, 53112, 50800, 54607, 51470, 54551, 51470, 55925, 51470, 54677, 51254, 56348, 51254, 58328, 67042, 53112, 52101, 52479, 50800, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 60491, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 54059, 53112, 51252, 52479, 50874, 54607, 51470, 54551, 51470, 55925, 51470, 54677, 51254, 56348, 51254, 58328, 51254, 50799, 53112, 50800, 52479, 51123, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 62716, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 54183, 53112, 50874, 55361, 51470, 54222, 51470, 56791, 51470, 56699, 51254, 55443, 51254, 59917, 69925, 53112, 50984, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 60481, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 53962, 53112, 50800, 55361, 51470, 54222, 51470, 56791, 51470, 56699, 51254, 55443, 51254, 59917, 70448, 53112, 50874, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 60895, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 54485, 53112, 50984, 55361, 51470, 54222, 51470, 56791, 51470, 56699, 51254, 55443, 51254, 59917, 67042, 53112, 50800, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 60491, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 54059, 53112, 50874, 55361, 51470, 54222, 51470, 56791, 51470, 56699, 51254, 55443, 51254, 59917, 51254, 50799, 53112, 51123, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 62716, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 54183, 53112, 51851, 55361, 51470, 54222, 51470, 56791, 51470, 56699, 51254, 55443, 51254, 59917, 69925, 53112, 50800, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 60481, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 53962, 53112, 50874, 55361, 51470, 54222, 51470, 56791, 51470, 56699, 51254, 55443, 51254, 59917, 70448, 53112, 50984, 53112, 50800, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 60895, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 54485, 53714, 50800, 53112, 51252, 55361, 51470, 54222, 51470, 56791, 51470, 56699, 51254, 55443, 51254, 59917, 67042, 53292, 50800, 53714, 51269, 53112, 51123, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 60491, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 54059, 53714, 52101, 53015, 51022, 55361, 51470, 54222, 51470, 56791, 51470, 56699, 51254, 55443, 51254, 59917, 51254, 53028, 50961, 52479, 50800, 53015, 51832, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 50928, 51402, 50820, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 74236, 54857, 53104, 50604, 50808, 52479, 50874, 54551, 51470, 55925, 51470, 57605, 51470, 56348, 51254, 58328, 51254, 59523, 51254, 50423, 51468, 51544, 50930, 52479, 50907, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 50928, 51532, 50835, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 50928, 51361, 56691, 50385, 52581, 50858, 52479, 50800, 54551, 51470, 55925, 51470, 57605, 51470, 56348, 51254, 58328, 51254, 59523, 51254, 51556, 79932, 50930, 52479, 50874, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 50928, 51572, 50857, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 74096, 55692, 50385, 52581, 50880, 52479, 50907, 54551, 51470, 55925, 51470, 57605, 51470, 56348, 51254, 58328, 51254, 59523, 51254, 50447, 51468, 52320, 51033, 52479, 50800, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 50928, 51647, 50941, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 50928, 51453, 54857, 66835, 50880, 52479, 50874, 54551, 51470, 55925, 51470, 57605, 51470, 56348, 51254, 58328, 51254, 59523, 51254, 51621, 50836, 53028, 50961, 53714, 50800, 52479, 51022, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 50928, 51402, 50820, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 74236, 54857, 53104, 50604, 50808, 53714, 50874, 54607, 51470, 54551, 51470, 55925, 51470, 54677, 51254, 56348, 51254, 58328, 51254, 50423, 51468, 51544, 50930, 53714, 50984, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 50928, 51532, 50835, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 50928, 51361, 56691, 50385, 52581, 50858, 53714, 50800, 54607, 51470, 54551, 51470, 55925, 51470, 54677, 51254, 56348, 51254, 58328, 51254, 51556, 79932, 50930, 53714, 50874, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 50928, 51572, 50857, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 74096, 55692, 50385, 52581, 50880, 53714, 51832, 53112, 50800, 54607, 51470, 54551, 51470, 55925, 51470, 54677, 51254, 56348, 51254, 58328, 51254, 50447, 51468, 52320, 51033 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 15855, 15229, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 155, 73, 398, 86, 6543, 4, 20, 2125, 3136, 23, 10, 38451, 3938, 20889, 6, 7630, 14805, 10, 1472, 9, 15073, 150, 6780, 41, 20425, 223, 28311, 4, 20, 33215, 16739, 1171, 1918, 406, 6, 211, 119, 6, 272, 406, 6, 230, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52323, 50628, 50420, 51247, 52737, 50432, 50999, 73301, 53681, 50999, 73301, 50824, 58911, 50999, 73301, 53566, 50931, 70036, 53681, 50999, 73301, 50824, 58911, 50999, 73301, 53566, 50931, 70036, 53681, 50999, 73301, 50824, 58911, 50999, 51059, 51062, 51059, 63975, 51059, 51146, 63189, 50951, 51059, 51081, 51059, 52076, 58060, 51059, 51062, 68025, 50931, 51059, 50999, 63189, 50906, 51059, 51081, 51059, 58911, 50968, 51059, 50951, 51059, 63174, 51059, 50999, 63189, 50902, 51059, 50931, 51059, 58911, 50906, 51059, 50951, 51059, 59409, 73414, 53681, 50902, 67800, 50824, 52076, 58060, 51066, 50968, 51066, 59409, 73301, 53681, 50877, 73301, 50824, 52076, 55961, 73301, 53566, 50899, 50824, 51146, 59184, 51062, 53925, 51146, 59475, 51062, 55380, 50997, 50824, 51146, 59981, 51062, 50823, 52323, 51081, 61410, 50999, 55573, 51026, 77190, 53566, 50997, 77190, 53681, 51026, 77190, 50824, 58911, 51315, 77190, 53566, 51085, 73301, 59184, 51081, 53925, 51062, 59475, 51081, 55380, 51279, 73301, 59981, 51081, 50823, 52323, 50999, 61410, 50951, 55573, 51247, 51009, 50999, 53566, 51339, 65733, 51430, 70736, 51146, 55380, 50871, 60169, 58987, 73301, 51009, 52076, 53502, 57994, 51352, 50876, 51352, 58296, 73301, 65733, 51081, 70736, 50999, 55380, 50916, 66547, 50824, 52076, 55961, 51352, 50877, 58987, 51352, 58319, 50824, 51339, 65733, 51430, 70736, 51146, 55380, 50877, 73301, 51009, 52076, 53502, 57994, 51352, 50876, 51352, 58296, 73301, 65733, 51081, 70736, 50999, 55380, 50916, 66547, 50824, 52076, 55961, 58987, 70036, 53566, 50877, 70036, 50824, 51339, 53681, 50871, 67800, 50824, 51339, 50824, 52076, 54569, 61908, 50824, 51339, 53566, 51086, 69732, 50824, 51487, 59184, 51339, 53925, 51487, 59475, 51339, 55380, 51026, 57994, 50824, 51487, 59981, 51339, 50823, 52323, 51430, 61410, 51339, 55573, 51315, 62195, 50824, 51487, 53566, 50861, 66547, 50824, 51430, 53681, 50916, 73414, 50824, 51430, 50824, 52076, 53502, 58987, 50824, 51430, 53566, 51027, 60169, 50824, 51339, 59184, 51430, 53925, 51339, 59475, 51430, 55380, 51050, 60297, 50824, 51339, 59981, 51430, 50823, 52323, 51146, 61410, 51430, 55573, 51120, 65240, 50824, 51339, 53566, 50871, 67800, 50824, 51146, 53681, 50899, 61908, 50824, 51146, 50824, 58911, 51086, 69732, 50824, 51146, 53566, 51026, 57994, 50824, 51430, 59184, 51146, 53925, 51430, 59475, 51146, 55380, 51315, 62195, 50824, 51430, 59981, 51146, 50823, 52323, 51062, 61410, 51146, 55573, 51085, 51352, 50900, 50824, 51430, 53566, 50899, 73301, 65733, 51220, 70736, 50999, 55380, 50916, 66547, 51009, 52076, 56978, 65240, 51352, 50861, 66613, 51027, 66547, 65733, 69593, 50440, 50968, 55380, 51086, 61908, 50824, 52076, 53502, 51352, 50916, 57994, 51352, 58296, 73301, 65733, 51220, 70736, 50999, 55380, 50916, 66547, 51009, 52076, 56978, 65240, 51352, 50861, 66613, 51027, 66547, 65733, 69593, 50440, 50968, 55380, 51086, 61908, 50824, 52076, 53502, 51352, 50916, 57994, 51352, 58296, 73301, 65733, 51220, 70736, 50999, 55380, 50916, 66547, 51009, 58911, 51050, 60297, 66613, 51026, 70036, 65733, 51220, 70736, 51062, 55380, 51027, 50824, 51146, 70290, 51430, 50823, 79020, 51339, 55573, 51086, 66547, 53566, 51026, 50824, 51339, 53681, 50900, 50824, 51430, 50824, 58911, 51050, 67800, 50824, 51146, 53566, 51026, 51009, 50968, 73301, 53681, 51214, 61908, 50824, 51220, 50824, 58911, 51085, 51352, 50876, 73301, 53566, 50951, 53681, 50951, 50824, 58911, 50951, 51009, 59409, 70379, 53681, 50876, 66547, 50824, 52076, 58060, 66547, 52442, 59409, 50824, 51487, 53681, 50876, 50824, 51405, 50824, 52076, 58060, 50824, 51220, 53566, 50965, 73301, 51184, 57428, 72970, 50824, 52076, 58097, 50824, 51114, 53566, 50900, 51352, 50951, 53681, 50951, 50824, 58911, 50951, 51009, 59409, 70379, 53681, 50876, 66547, 50824, 52076, 58060, 66547, 52442, 59409, 50824, 51487, 53681, 50876, 50824, 51405, 50824, 52076, 58060, 50824, 51220, 53566, 50965, 73301, 51184, 57428, 72970, 50824, 52076, 58097, 50824, 51114, 53566, 50900, 66547, 53681, 50900, 66547, 50824, 51405, 50824, 58911, 51050, 60297, 67800, 50824, 51146, 53566, 51026, 57994, 61908, 50824, 51220, 53681, 51176, 68678, 70379, 73301, 50824, 58911, 51050, 60297, 67800, 50824, 51146, 53566, 51026, 57994, 61908, 50824, 51220, 53681, 51176, 68678, 70379, 73301, 50824, 58911, 51050, 60297, 67800, 50824, 51146, 53566, 51026, 57994, 61908, 50824, 51220, 53681, 51176, 68678, 70379, 73301, 50824, 58911, 51050, 60297, 67800, 50824, 51146, 53566, 51026, 57994, 61908, 50824, 51220, 53681, 51176, 68678, 70379, 73301, 50824, 52076, 56978, 57994, 51352, 51146, 53566, 51027, 66547, 65733, 69593, 50440, 50968, 55380, 51086, 61908, 50824, 52076, 53502, 51352, 50916, 57994, 51352, 58296, 73301, 65733, 51220, 70736, 50999, 55380, 50916, 66547, 51009, 52076, 56978, 65240, 51352, 50861, 66613, 51027, 66547, 65733, 69593, 50440, 50968, 55380, 51086, 61908, 50824, 52076, 53502, 51352, 50916, 57994, 51352, 58296, 73301, 65733, 51220, 70736, 50999, 55380, 50916, 66547, 51059, 58911, 51050, 60297, 51352, 50424, 51062, 65759, 51220, 54179, 51026, 70036, 65733, 51220, 70736, 51062, 55380, 51027, 50824, 51146, 70290, 51430, 50823, 79020, 51339, 55573, 51086, 66547, 66613, 51026, 50824, 51339, 53681, 50900, 50824, 51430, 50824, 58911, 51050, 67800, 50824, 51146, 53566, 51026, 51009, 50968, 73301, 53681, 51214, 61908, 50824, 51220, 50824, 58911, 51085, 51009, 50428, 51220, 54179, 51062, 51009, 50440, 50951, 55380, 50876, 70036, 50975, 79020, 50968, 55573, 50876, 67800, 51009, 50428, 51430, 54179, 50876, 50824, 51430, 55996, 51146, 65733, 51430, 53925, 51146, 57310, 50973, 50824, 52076, 53502, 51009, 50428, 51220, 54179, 51062, 51009, 50440, 50951, 55380, 50876, 70036, 50975, 79020, 50968, 55573, 50876, 67800, 51009, 50428, 51430, 54179, 50876, 50824, 51430, 55996, 51146, 65733, 51430, 53925, 51146, 57310, 50973, 50824, 52076, 53502, 58987, 51352, 50428, 51339, 54179, 50899, 50824, 51430, 50975, 50440, 51220, 55380, 50916, 73301, 50975, 52076, 77717, 55573, 51050, 60297, 51352, 50999, 50975, 50428, 50968, 54179, 51026, 67800, 50975, 50440, 50876, 55380, 51027, 61908, 50975, 79020, 50877, 55573, 51026, 69732, 50975, 50428, 50902, 54179, 51050, 57994, 50975, 50440, 50973, 55380, 51315, 58987, 51352, 79020, 50968, 55573, 51050, 61908, 50975, 50428, 50931, 54179, 51026, 51009, 50968, 53681, 51214, 69732, 73414, 56695, 50902, 70290, 78773, 52323, 50902, 50823, 50416, 50876, 59889, 50902, 55573, 51085, 58987, 50975, 50428, 50968, 54179, 51247, 50824, 51050, 61908, 53681, 51214, 78215, 58987, 51300, 50902, 51300, 58911, 51279, 74294, 50824, 50428, 50968, 54179, 51247, 50824, 51050, 58987, 61908, 53681, 51214, 78215, 58987, 51300, 50902, 51300, 58911, 51279, 74294, 50824, 50428, 50968, 54179, 51247, 50824, 51050, 58987, 61908, 53681, 51214, 78215, 58987, 61908, 50824, 52076, 56945, 58676, 51009, 50902, 67233, 51026, 66273, 65759, 51050, 50823, 50931, 54179, 51026, 51009, 50968, 53681, 51214, 69732, 73414, 56695, 50902, 70290, 78773, 52323, 50902, 52410, 51085, 58987, 73301, 53566, 51247, 50824, 51050, 58987, 61908, 53681, 51214, 78215, 58987, 61908, 50824, 58911, 51279, 74294, 73301, 53566, 51247, 50824, 51050, 58987, 61908, 53681, 51214, 78215, 58987, 61908, 50824 ]
[ 0, 4688, 5175, 2214, 19, 10, 2842, 9, 14073, 27456, 6, 42, 15229, 16, 17407, 30, 63, 15352, 30054, 8, 2933, 5466, 6, 7630, 14805, 10, 1472, 9, 980, 4, 28309, 8, 38668, 3315, 45552, 833, 6, 2800, 30, 38668, 3038, 6, 17605, 9590, 6, 8, 21040, 2426, 4, 8504, 11, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 19, 5, 40286, 272, 119, 8, 1918, 406, 442, 12577, 4961, 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 ]	[ 54458, 56026, 51998, 54747, 52254, 73873, 51998, 50752, 50303, 57422, 71690, 53700, 59481, 57422, 50417, 54890, 77797, 54890, 51998, 73873, 51998, 50423, 73873, 67847, 63788, 51998, 73873, 74994, 63788, 51998, 73873, 51998, 50435, 63788, 51998, 73873, 51998, 50438, 73873, 51998, 50441, 63788, 51998, 50444, 73873, 51998, 50447, 63788, 51998, 73873, 65656, 63788, 51998, 73873, 77080, 63788, 55084, 73873, 55084, 50459, 73873, 55084, 50799, 56026, 55084, 55617, 57826, 73873, 55084, 50753, 50299, 76941, 50417, 54890, 55084, 50420, 54890, 55084, 54747, 65254, 73873, 55084, 50423, 73873, 55084, 50426, 63788, 55084, 73873, 55084, 50432, 63788, 55084, 73873, 55084, 50435, 63788, 55084, 73873, 55084, 50438, 73873, 55084, 50441, 63788, 55084, 50444, 73873, 52794, 50447, 63788, 52794, 73873, 52794, 50450, 63788, 52794, 73873, 52794, 50456, 63788, 52794, 73873, 52794, 50459, 73873, 52794, 50799, 56026, 52794, 55617, 54691, 73873, 52794, 50752, 50302, 77898, 50753, 50292, 68334, 63002, 68334, 50417, 54890, 52794, 50420, 54890, 52794, 54747, 54691, 73873, 52794, 50423, 73873, 52794, 50426, 63788, 52794, 73873, 52794, 50432, 63788, 52794, 73873, 52794, 50435, 63788, 52462, 73873, 52462, 50438, 73873, 52462, 50441, 63788, 52462, 50444, 73873, 52462, 50447, 63788, 52462, 73873, 52462, 50450, 63788, 52462, 73873, 52462, 50456, 63788, 52462, 73873, 52462, 50459, 73873, 52462, 50799, 56026, 52462, 55617, 53306, 73873, 52462, 59595, 65354, 70077, 65354, 50417, 54890, 52462, 50420, 54890, 52462, 54747, 53306, 73873, 52462, 50423, 73873, 52462, 50426, 63788, 52101, 73873, 52101, 50432, 63788, 52101, 73873, 52101, 50435, 63788, 52101, 73873, 52101, 50438, 73873, 52101, 50441, 63788, 52101, 50444, 73873, 52101, 50447, 63788, 52101, 73873, 67218, 63788, 52101, 73873, 52101, 50456, 63788, 52101, 73873, 52101, 50459, 73873, 52101, 50799, 56026, 52101, 55617, 52101, 73873, 52101, 50752, 50310, 68086, 59049, 59519, 68122, 68086, 50417, 54890, 51832, 54747, 53313, 50420, 54890, 51832, 73873, 51832, 50423, 73873, 77962, 63788, 51832, 73873, 79974, 63788, 51832, 55617, 51832, 73873, 51832, 50435, 63788, 51832, 54747, 51832, 73873, 51832, 50438, 73873, 51832, 50441, 63788, 51832, 50444, 73873, 51832, 50447, 63788, 51832, 73873, 51832, 50450, 63788, 51832, 73873, 51832, 50456, 63788, 51550, 73873, 51550, 50459, 73873, 51550, 50799, 56026, 51550, 55617, 51550, 73873, 51550, 50752, 50303, 55275, 61610, 55275, 50417, 54890, 51550, 54747, 67735, 54890, 51550, 73873, 51550, 50423, 73873, 65437, 63788, 51550, 73873, 51550, 50429, 55617, 65350, 63788, 51550, 73873, 51550, 50435, 63788, 51550, 54747, 51550, 73873, 62913, 73873, 51550, 50441, 63788, 65438, 73873, 51550, 50447, 63788, 51252, 73873, 61013, 63788, 51252, 73873, 67301, 63788, 51252, 73873, 79530, 73873, 51252, 50799, 56026, 51252, 55617, 51252, 73873, 51252, 50752, 50312, 53678, 62494, 55856, 74012, 53678, 50417, 54890, 51252, 54747, 63478, 54890, 51252, 73873, 63285, 73873, 58782, 63788, 51252, 73873, 51252, 50429, 55617, 60346, 63788, 51252, 54747, 51252, 73873, 69470, 63788, 51252, 73873, 59580, 73873, 51269, 50441, 63788, 62622, 73873, 51269, 50447, 63788, 51269, 73873, 60205, 63788, 51269, 73873, 62082, 63788, 51269, 73873, 79207, 73873, 51269, 50799, 56026, 51269, 55617, 51269, 73873, 51269, 50752, 50307, 52988, 50417, 54890, 51269, 54747, 64080, 54890, 51269, 73873, 66495, 73873, 58844, 63788, 51269, 73873, 51269, 50429, 55617, 55011, 63788, 51022, 73873, 60968, 63788, 51022, 54747, 51022, 73873, 55707, 73873, 70546, 63788, 57138, 73873, 65932, 63788, 51022, 73873, 55814, 63788, 51022, 73873, 56773, 63788, 51022, 73873, 65319, 73873, 51022, 50799, 56026, 51022, 54747, 52025, 73873, 51022, 50752, 50310, 52503, 59049, 54270, 63002, 54270, 50417, 54890, 57711, 54890, 51123, 73873, 62791, 73873, 57252, 63788, 51123, 73873, 57959, 63788, 51123, 73873, 63801, 63788, 51123, 73873, 58604, 73873, 51123, 50441, 63788, 60466, 73873, 65650, 63788, 51123, 73873, 59038, 63788, 51123, 73873, 60004, 63788, 51123, 73873, 72037, 73873, 50984, 50799, 56026, 50984, 55617, 51166, 73873, 50984, 50752, 50305, 51922, 65306, 51922, 50417, 54890, 55740, 54890, 50984, 54747, 51466, 73873, 57079, 73873, 55070, 63788, 50984, 73873, 55238, 63788, 50984, 73873, 59037, 63788, 50984, 73873, 56006, 73873, 68977, 63788, 57043, 73873, 60979, 63788, 50984, 73873, 56881, 63788, 50907, 73873, 55346, 63788, 50907, 73873, 57467, 73873, 50907, 50799, 56026, 50907, 55617, 51074, 73873, 50907, 50752, 50314, 51748, 63002, 51748, 50417, 54890, 54964, 54890, 50907, 54747, 51074, 73873, 56237, 73873, 54504, 63788, 50907, 73873, 54661, 63788, 50907, 73873, 56857, 63788, 50907, 73873, 54584, 73873, 58573, 63788, 54947, 73873, 58068, 63788, 50912, 73873, 54823, 63788, 50912, 73873, 55162, 63788, 50912, 73873, 58247, 73873, 50912, 50799, 56026, 50912, 55617, 51079, 73873, 50912, 50752, 50303, 51671, 65306, 51671, 50417, 54890, 55869, 54890, 50912, 54747, 51079, 73873, 56779, 73873, 54325, 63788, 50912, 73873, 55100, 63788, 50851, 73873, 55270, 63788, 50851, 73873, 53269, 73873, 58862, 63788, 54478, 73873, 55854, 63788, 50851, 73873, 53567, 63788, 50851, 73873, 54622, 63788, 50851, 73873, 56573, 73873, 50851, 50799, 56026, 50851, 55617, 50851, 73873, 50851, 50752, 50310, 51449, 57727, 52204, 63002, 51449, 59481, 52204, 50417, 54890, 50851, 54747, 59288, 54890, 50851, 73873, 55054, 73873, 52580, 63788, 50827, 73873, 52739, 63788, 50827, 55617, 50827, 73873, 53720, 63788, 50827, 54747, 50827, 73873, 52788, 73873, 55608, 63788, 53086, 73873, 54043, 63788, 50827, 73873, 52989, 63788, 50827, 73873, 53176, 63788, 50827, 73873, 54529, 73873, 50827, 50799, 56026, 50874, 55617, 50874, 73873, 50874, 50752, 50313, 51445, 65306, 51445, 50417, 54890, 50874, 54747, 54448, 54890, 50874, 73873, 56174, 73873, 53881, 63788, 50874, 73873, 58519, 55617, 54221, 63788, 50874, 73873, 56149, 63788, 50874, 54747, 50874, 73873, 54123, 73873, 58666, 63788, 54653, 73873, 57904, 63788, 50874, 73873, 54385, 63788, 50874, 73873, 54900, 63788, 50822, 73873, 54846, 73873, 50822, 50799, 56026, 50822, 55617, 50822, 73873, 50822, 50752, 50314, 52096, 63002, 51313, 50417, 54890, 50822, 54747, 53728, 54890, 50822, 73873, 54252, 73873, 52921, 63788, 50822, 73873, 56739, 55617, 53193, 63788, 50822, 54747, 50822, 73873, 54378, 63788, 50822, 73873, 52691, 73873, 57366, 63788, 53743, 73873, 55876, 63788, 50844, 73873, 54004, 63788, 50844, 73873, 54194, 63788, 50844, 73873, 56569, 73873, 50844, 50799, 56026, 50844, 55617, 50844, 73873, 50844, 65306, 51293, 68122, 51293, 50417, 54890, 50844, 54747, 54351, 54890, 50844, 73873, 55266, 73873, 53450, 63788, 50844, 73873, 57250, 55617, 53513, 63788, 50844, 73873, 55167, 63788, 50810, 54747, 50810, 73873, 52729, 73873, 56532, 63788, 53103, 73873, 54803, 63788, 50810, 73873, 52843, 52998, 50915, 63788, 50810, 73873, 52863, 63788, 50810, 73873, 54678, 73873, 50810, 50799, 53283, 53892, 56026, 51022, 54747, 52025, 73873, 51022, 54918, 52503, 54025, 52503, 50417, 54890, 57711, 54890, 51022, 73873, 58910, 53354, 51022, 73873, 55124, 53929, 51387, 63788, 51022, 73873, 55011, 53283, 51432, 63788, 51123, 65360, 52011, 73873, 63801, 63788, 51123, 73873, 58604, 55668 ]
[ 0, 250, 8787, 3495, 2125, 19, 5175, 4785, 6, 42, 15229, 1931, 21683, 10, 32076, 8, 19448, 5466, 4, 20, 30062, 620, 7085, 12280, 642, 6, 1515, 21305, 6, 13305, 6, 8, 21072, 283, 561, 7, 1045, 10, 15352, 30054, 5797, 990, 1506, 4, 8504, 11, 5, 762, 9, 274, 10431, 3694, 8, 6780, 10, 7212, 20889, 6, 24, 30853, 19, 10, 1472, 9, 5136, 4, 20, 16331, 33215, 16739, 9, 274, 10431, 119, 6, 83, 401, 6, 8, 163, 119, 406, 31473, 10, 2842, 9, 1619, 4780, 7, 5, 1374, 2365, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50435, 55096, 51932, 53916, 53002, 50877, 52024, 51028, 52024, 52112, 50436, 51324, 52149, 51086, 52149, 50989, 52024, 52040, 52250, 51198, 52250, 51494, 52250, 51119, 52250, 50442, 63678, 56453, 53747, 51932, 50791, 61216, 50791, 50880, 54599, 53217, 55096, 78053, 61780, 52093, 51601, 50913, 51750, 66183, 60454, 59799, 50835, 51532, 75031, 57563, 66424, 51471, 50443, 50791, 54755, 63678, 50825, 56403, 62037, 50791, 64961, 50913, 50835, 71349, 50867, 51039, 58830, 53133, 56168, 57148, 60741, 51468, 50434, 52029, 51102, 52621, 55096, 56168, 63881, 50852, 64684, 64229, 50835, 57913, 73745, 53968, 51066, 52601, 56736, 51315, 52250, 50916, 52024, 50861, 52024, 50973, 52149, 50902, 52024, 50791, 50890, 51099, 52149, 52040, 52122, 51198, 52250, 51232, 52250, 53341, 77608, 71568, 50993, 52558, 55676, 69388, 50913, 58646, 53968, 50975, 52558, 80011, 50862, 51361, 56428, 57972, 50791, 64100, 51895, 51102, 50825, 55894, 50887, 51647, 52373, 50825, 51453, 61629, 50791, 50880, 51429, 53651, 53069, 52029, 51102, 50825, 51510, 50813, 51544, 64247, 50913, 57160, 50791, 59701, 52385, 50440, 57865, 51745, 54012, 51896, 52574, 51102, 50835, 51618, 68343, 50913, 51750, 63226, 53133, 62461, 60135, 50852, 59496, 52574, 51102, 50835, 71349, 54507, 55096, 51932, 77347, 54454, 50877, 52149, 51028, 52149, 52112, 50421, 51324, 52024, 51086, 52024, 50989, 52149, 52040, 52149, 51198, 52149, 51494, 52149, 51119, 52149, 50427, 57563, 59277, 53747, 58834, 50836, 55703, 54459, 50913, 54905, 55096, 61751, 62885, 52093, 57913, 55473, 59842, 74268, 59799, 50835, 53028, 69079, 57563, 58646, 51471, 50429, 61249, 51623, 50791, 66248, 63678, 56819, 50791, 59503, 50791, 68787, 50913, 50835, 52320, 58345, 51471, 50457, 53133, 51745, 57570, 51896, 50791, 57148, 50835, 51809, 51468, 50419, 52029, 51102, 53868, 55096, 56168, 56667, 50852, 60012, 64229, 57160, 50791, 59948, 53968, 51066, 54012, 54454, 51315, 52149, 50916, 52024, 50861, 52024, 50973, 52149, 50902, 52024, 50791, 50890, 52040, 52250, 51198, 52250, 51232, 52250, 51099, 52149, 51180, 52300, 53528, 53133, 50993, 52558, 61695, 65603, 50913, 59552, 53968, 51653, 52558, 50461, 50791, 50862, 71349, 56428, 50835, 57809, 71699, 51895, 51102, 59277, 50791, 50887, 51570, 52373, 50825, 55820, 62426, 52601, 51036, 50791, 50880, 51429, 53380, 50452, 52029, 51102, 50825, 51453, 79367, 50887, 51601, 50913, 50835, 55676, 60342, 52385, 50425, 57865, 51745, 52574, 51102, 80029, 61300, 57563, 57972, 53133, 62461, 62859, 50852, 60886, 52574, 51102, 52772, 51324, 52149, 50791, 64703, 51086, 52024, 50453, 55096, 51735, 50877, 52024, 51028, 52024, 52112, 50454, 50989, 52024, 52040, 52250, 51494, 52250, 51119, 52024, 51777, 52250, 50460, 57563, 50825, 51809, 53747, 51932, 50791, 64682, 50791, 50880, 55618, 58245, 55096, 78053, 61218, 52093, 55703, 55473, 66657, 68202, 52501, 50835, 57913, 75336, 57563, 59552, 51471, 50799, 54010, 51041, 70086, 54010, 51437, 52543, 59768, 54010, 51041, 63692, 50791, 69544, 50913, 54248, 54010, 51437, 54077, 54010, 51041, 58900, 53133, 56168, 57148, 60822, 54010, 56918, 54010, 51406, 64125, 54010, 51041, 55828, 53137, 55096, 56168, 63574, 54010, 54726, 50862, 51601, 54010, 51467, 55063, 62307, 54010, 51041, 60171, 53968, 51066, 50902, 54834, 51114, 54834, 51315, 52149, 50916, 52024, 50973, 52149, 50791, 56731, 51429, 52250, 51275, 52149, 51232, 52122, 51099, 51717, 50429, 54257, 50825, 51361, 64938, 53133, 50993, 63842, 71647, 50913, 60862, 53968, 50975, 52558, 51618, 50862, 52320, 56428, 58901, 50791, 61561, 51895, 51102, 50825, 51809, 50791, 50887, 51510, 52373, 58245, 50791, 50836, 55994, 62256, 53145, 51437, 55828, 54905, 53145, 51135, 79056, 66943, 53145, 52532, 59528, 53145, 51135, 62802, 53145, 51406, 57185, 57865, 51745, 50968, 51191, 52574, 51102, 50835, 50799, 53145, 70486, 64729, 53145, 51750, 54738, 60463, 53133, 51237, 53145, 51044, 61057, 50902, 51191, 50428, 50852, 54215, 53145, 51239, 56428, 50835, 51556, 63539, 55096, 51932, 51324, 52149, 51086, 52149, 50989, 52024, 50877, 52024, 51028, 52024, 52112, 51119, 52024, 51777, 52250, 52040, 52250, 51494, 52250, 50446, 57563, 57723, 53747, 60396, 50836, 51647, 54647, 50913, 59025, 55096, 61751, 50855, 51601, 52093, 50419, 50791, 55473, 50835, 51544, 54883, 59799, 57160, 50791, 50930, 50440, 57563, 60862, 51471, 51618, 68750, 63678, 57077, 50791, 58693, 53990, 51464, 50890, 51809, 53990, 53353, 61072, 55754, 53990, 51437, 56680, 53133, 51745, 53990, 51041, 57148, 59347, 53990, 51406, 57514, 53990, 51135, 55828, 54656, 55096, 56168, 74176, 53990, 54563, 64598, 53990, 51750, 55063, 67099, 50791, 64405, 53968, 51066, 50916, 52149, 50989, 52024, 50973, 52149, 50902, 52024, 51315, 52149, 50791, 50890, 51232, 52122, 51099, 51717, 51429, 52250, 51275, 52149, 50799, 54257, 59527, 53133, 50993, 52558, 61797, 67415, 50913, 68564, 53968, 51653, 52558, 51361, 73746, 56428, 50835, 55820, 61334, 51895, 51102, 57723, 50791, 50887, 51453, 52373, 59025, 50791, 50836, 51601, 50791, 61135, 52029, 51102, 50825, 51544, 50813, 51532, 67980, 50913, 62196, 50791, 67203, 52385, 50444, 57865, 51745, 50935, 51111, 52574, 51102, 59528, 50935, 51623, 50791, 61348, 51149, 51111, 57563, 59552, 53133, 51745, 50791, 59026, 51149, 51623, 50852, 50862, 52177, 52548, 52149, 52574, 51102, 61072, 61083, 55096, 51932, 51086, 52149, 50989, 52024, 50877, 52024, 51028, 52024, 51324, 52149, 50798, 50887, 52112, 52040, 52250, 51494, 52250, 51119, 52024, 51777, 52250, 50431, 57563, 56446, 53747, 51735, 50798, 52304, 50836, 51570, 50880, 53491, 57013, 55096, 71944, 52304, 64457, 52093, 50452, 50913, 51750, 50890, 76820, 50799, 59799, 50835, 55676, 72309, 57563, 68564, 51471, 51361, 70988, 63678, 50825, 55820, 50840, 55894, 68168, 50913, 50835, 51647, 50867, 51453, 59175, 53133, 56168, 57148, 50835, 53069, 51468, 51510, 55828, 52712, 55096, 56168, 50962, 50430, 50852, 64458, 64229, 57540, 50791, 67635, 53968, 51066, 51315, 52149, 50916, 52149, 50989, 52024, 50973, 52149, 50902, 52024, 50798, 52304, 50890, 51429, 52250, 51275, 52149, 50441, 51232, 52122, 51099, 51717, 53721, 51833, 58351, 53133, 55311, 52304, 50867, 56403, 63728, 50913, 56603, 53968, 54482, 52304, 50867, 71349, 71813, 56428, 58815, 50791, 64205, 51895, 51102, 50825, 55703, 50887, 51572, 52373, 57013, 50791, 61216, 55320, 51135, 64985, 50913, 53217, 55320, 51750, 57187, 55320, 51135, 50813, 51601, 50791, 69736, 55320, 52543, 58659, 55320, 51406, 60811, 55320, 51539, 55863, 57865, 51745, 51543, 50834, 55320, 53353, 51750, 66279, 55320, 51464, 63539, 55320, 51135, 54738, 60862, 53133, 62461, 60520, 55320, 53270, 53938, 55320, 51044, 56428, 55423, 55320, 51406, 62037, 55096, 51932, 51324, 52149, 51086, 52149, 50989, 52024, 50877, 52024, 51028, 52024, 50798, 50887, 52112, 52040, 52250, 51494, 52250, 51119, 52024, 51777, 52250, 51809, 57563, 61732, 53747, 58680, 52304, 50836, 51510, 53939, 50913, 58032, 55096, 72109, 52304, 60673, 52093, 50437, 50913, 51750, 50890, 51180, 54847, 59799, 59528, 50791, 69312, 57563, 50835, 50799, 51471, 51402, 67596, 63678, 64640, 50791, 59955, 50791, 50890, 53198, 50835, 51570, 63776, 51471, 50445, 53133, 51745, 50791, 57148, 67099, 51468, 51453, 55828, 54603, 55096, 56168, 50962, 51601, 50852 ]
[ 0, 250, 20902, 3495, 1619, 2214, 11, 272, 3694, 6, 4246, 3459, 13305, 6, 10170, 1499, 6, 21979, 9590, 6, 8, 21072, 4, 590, 10, 27841, 139, 20889, 8, 155, 73, 306, 86, 6543, 6, 24, 1931, 21683, 11098, 8, 10563, 149, 63, 15352, 30054, 15229, 4, 20, 33215, 16739, 9, 230, 119, 6, 272, 119, 6, 211, 406, 6, 8, 272, 119, 3639, 7, 5, 12298, 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 ]	[ 51034, 50640, 54237, 51025, 65282, 50813, 51098, 51358, 51890, 50892, 51771, 50892, 52427, 50892, 52092, 59621, 51172, 50852, 51255, 50426, 51890, 50905, 50903, 51363, 50791, 73377, 51771, 54938, 52427, 50972, 50903, 58880, 60510, 54237, 51025, 65282, 50813, 52092, 50972, 51034, 54399, 51025, 65282, 79366, 51623, 53795, 51108, 50801, 51172, 50852, 51255, 50420, 53375, 58193, 51890, 51534, 51771, 51534, 52427, 51534, 52092, 51534, 50903, 51363, 50791, 51255, 50438, 51890, 50892, 51771, 50892, 52427, 50892, 52092, 59621, 66377, 58880, 60510, 54237, 51025, 65282, 50813, 51034, 53375, 51422, 65282, 50813, 51150, 52282, 52114, 50892, 52647, 50892, 51771, 59621, 51172, 50852, 51255, 50426, 52114, 50905, 50903, 51363, 50791, 73377, 52647, 54938, 51771, 50972, 50903, 58880, 60510, 51959, 50972, 51034, 59319, 51422, 65282, 50813, 51098, 51977, 53168, 51108, 50801, 51172, 50852, 51255, 50426, 52114, 51534, 52647, 51534, 51771, 51534, 50903, 51363, 50791, 51255, 51556, 53614, 52114, 50892, 52647, 50892, 51771, 59621, 66377, 58880, 51003, 51034, 54237, 51025, 65282, 50813, 51098, 52282, 51890, 50892, 51771, 50892, 52427, 50892, 52092, 59621, 51172, 50852, 51255, 50426, 51890, 50905, 50903, 51363, 50791, 73377, 51771, 54938, 52427, 50972, 50903, 58880, 60510, 54237, 51025, 65282, 50813, 52092, 50972, 51034, 54399, 51025, 65282, 79366, 51358, 53795, 51108, 50801, 51172, 50852, 51255, 50420, 53375, 58193, 51890, 51534, 51771, 51534, 52427, 51534, 52092, 51534, 50903, 51363, 50791, 51255, 51556, 53614, 51890, 50892, 51771, 50892, 52427, 50892, 52092, 59621, 66377, 58880, 60510, 54237, 51025, 65282, 50813, 51034, 53375, 51151, 65282, 50813, 51150, 51896, 52114, 52025, 50801, 51172, 50852, 51255, 50426, 52114, 51534, 52647, 51534, 51771, 51534, 50903, 51363, 50791, 51255, 50438, 52114, 50845, 52647, 50845, 51771, 66551, 58880, 51003, 67834, 51896, 53168, 51108, 50801, 51172, 50852, 51255, 50426, 52114, 51534, 52647, 51534, 51771, 51534, 50903, 51363, 50791, 51255, 50438, 52114, 50892, 52647, 50892, 51771, 59621, 66377, 58880, 51003, 51034, 54520, 51115, 51994, 51115, 51150, 51358, 52114, 51108, 50801, 51172, 50852, 51255, 50426, 51771, 51645, 51959, 51645, 53234, 51645, 50903, 51363, 50791, 51255, 50438, 54520, 51025, 51994, 51025, 51771, 50905, 51959, 50905, 53234, 50905, 50903, 58880, 51003, 51034, 54520, 51115, 51531, 51115, 51098, 52282, 53168, 51108, 50801, 51172, 50852, 51255, 50426, 51771, 51534, 51959, 51534, 53234, 51534, 50903, 51363, 50791, 51255, 50438, 52498, 51025, 51666, 51025, 51771, 50892, 51959, 50892, 53234, 59621, 66377, 58880, 51003, 51034, 51994, 51115, 52183, 51115, 51150, 51685, 52114, 52025, 50801, 51172, 50852, 51255, 51510, 53450, 52114, 51172, 52647, 51172, 51771, 51172, 50903, 51363, 50791, 51255, 50438, 52498, 51025, 51666, 51025, 52114, 50905, 52647, 50905, 51771, 50905, 50903, 58880, 51003, 51034, 54520, 51452, 51531, 51452, 51930, 51025, 53168, 51108, 50801, 51172, 50852, 51255, 50426, 51389, 51025, 52114, 51534, 52647, 51534, 51771, 51534, 50903, 51363, 50791, 51255, 57385, 51025, 52114, 50892, 52647, 50892, 51771, 59621, 66377, 58880, 51003, 51034, 52498, 51115, 51666, 51115, 51098, 52282, 51890, 51337, 51771, 51337, 52427, 51337, 52092, 51337, 50801, 51172, 50852, 51255, 51510, 53450, 51890, 51535, 51771, 51535, 52427, 51535, 52092, 51535, 50903, 51363, 50791, 51255, 50438, 52498, 51025, 51666, 51025, 50903, 58880, 51003, 51034, 53342, 51025, 52330, 51025, 51389, 51977, 53795, 51108, 50801, 51172, 50852, 51255, 50426, 54520, 51025, 51531, 51025, 51890, 51534, 51771, 51534, 52427, 51534, 52092, 51534, 50903, 51363, 50791, 51255, 50438, 52498, 51025, 51666, 51025, 51890, 50892, 51771, 50892, 52427, 50892, 52092, 59621, 66377, 58880, 51003, 51034, 54520, 51452, 51531, 51452, 51150, 51896, 52114, 51337, 52647, 51337, 51771, 51337, 50801, 51172, 50852, 51255, 50426, 52114, 51535, 52647, 51535, 51771, 51535, 50903, 51363, 50791, 51255, 59015, 58880, 51003, 51034, 54520, 51452, 51994, 51452, 51150, 51025, 53168, 51108, 50801, 51172, 50852, 51255, 50426, 51930, 51025, 52114, 51534, 52647, 51534, 51771, 51534, 50903, 51363, 50791, 51255, 51556, 53614, 52078, 51025, 52114, 50892, 52647, 50892, 51771, 59621, 66377, 58880, 51003, 51034, 54520, 51115, 51994, 51115, 51150, 51452, 52114, 51535, 52647, 51535, 51771, 51535, 50801, 51172, 50852, 51255, 51768, 51363, 50791, 51255, 50438, 54520, 51025, 51994, 51025, 52114, 51337, 52647, 51337, 51771, 51337, 50903, 58880, 51003, 51034, 54520, 51115, 51531, 51115, 51098, 51977, 53168, 51108, 50801, 51172, 50852, 51255, 50426, 52114, 51534, 52647, 51534, 51771, 51534, 50903, 51363, 50791, 51255, 50438, 52498, 51025, 51666, 51025, 52114, 50892, 52647, 50892, 51771, 59621, 66377, 58880, 51003, 51034, 51994, 51115, 52183, 51115, 51150, 51896, 52114, 51108, 50801, 51172, 50852, 51255, 51510, 53450, 52114, 51535, 52647, 51535, 51771, 51535, 50903, 51363, 50791, 51255, 50438, 52498, 51025, 51666, 51025, 50903, 58880, 51003, 51034, 54520, 51452, 51531, 51452, 51930, 51025, 53168, 51108, 50801, 51172, 50852, 51255, 50426, 51389, 51025, 52114, 51534, 52647, 51534, 51771, 51534, 50903, 51363, 50791, 51255, 68958, 51025, 52114, 50892, 52647, 50892, 51771, 59621, 66377, 58880, 51003, 51034, 52498, 51115, 51666, 51115, 51098, 51685, 53168, 51108, 50801, 51172, 50852, 51255, 51510, 53450, 51890, 51535, 51771, 51535, 52427, 51535, 52092, 51535, 50903, 51363, 50791, 51255, 50438, 52498, 51025, 51666, 51025, 50903, 58880, 51003, 51034, 53342, 51025, 52330, 51025, 51389, 51358, 53795, 51108, 50801, 51172, 50852, 51255, 50426, 54520, 51025, 51531, 51025, 51890, 51534, 51771, 51534, 52427, 51534, 52092, 51534, 50903, 51363, 50791, 51255, 50438, 52498, 51025, 51666, 51025, 51890, 50892, 51771, 50892, 52427, 50892, 52092, 59621, 66377, 58880, 51003, 51034, 54520, 51151, 51531, 51151, 51150, 51025, 52114, 51108, 50801, 51172, 50852, 51255, 50426, 52078, 51025, 52647, 51172, 51771, 51172, 51959, 51172, 50903, 51363, 50791, 51255, 50438, 51930, 51025, 52647, 50905, 51771, 50905, 51959, 50905, 50903, 58880, 51003, 68423, 51025, 53168, 51108, 50801, 51172, 50852, 51255, 50426, 51389, 51025, 52647, 51534, 51771, 51534, 51959, 51534, 50903, 51363, 50791, 51255, 50438, 51930, 51025, 52647, 50892, 51771, 50892, 51959, 59621, 66377, 58880, 51003, 51034, 53094, 51115, 51531, 51115, 51691, 51115, 51140, 51977, 52114, 51337, 51890, 51337, 52609, 51337, 50801, 51172, 50852, 51255, 50426, 52114, 51535, 51890, 51535, 52609, 51535, 50903, 51363, 50791, 51255, 50438, 53094, 51025, 51531, 51025, 51691, 51025, 50903, 58880, 51003, 51034, 53094, 51025, 51691, 51025, 51389, 51025, 53897, 51108, 50801, 51172, 50852, 51255, 50426, 51988, 51025, 51871, 51025, 51930, 51025, 52114, 51534, 51890, 51534, 52609, 51534, 50903, 51363, 50791, 51255, 51556, 53614, 53094, 51025, 51691, 51025, 51793, 51025, 52114, 50892, 51890, 50892, 52609, 59621, 66377, 58880, 51003, 51034, 51994, 51025, 51531, 51025, 52183, 51025, 51150, 51685, 52114, 52025, 50801, 51172, 50852, 51255, 50426, 52114, 51535, 52647, 51535, 51771, 51535, 50903, 51363, 50791, 51255, 50438, 51994, 51025, 51531, 51025, 52183, 51025, 50903, 58880, 51003, 51034, 51994, 51452, 51531 ]
[ 0, 713, 8787, 5175, 2125, 6, 30291, 19, 4785, 9, 3495, 6, 1931, 21683, 10, 32076, 8, 20425, 5466, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 5, 20902, 32618, 9, 21072, 6, 3459, 9590, 6, 8, 10, 11577, 20535, 2810, 4246, 326, 5638, 34394, 4, 8504, 11, 5, 762, 9, 272, 538, 8, 6780, 10, 23667, 204, 73, 306, 86, 6543, 6, 5, 15229, 29769, 198, 5, 40286, 9, 272, 8, 230, 6, 2351, 10, 33928, 8, 15352, 30054, 13569, 9862, 14, 7630, 6568, 10, 12298, 6, 1619, 12, 3341, 4780, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 67004, 67004, 50459, 52365, 57498, 52365, 50883, 50799, 52365, 59013, 53257, 61426, 53257, 53294, 53257, 63895, 52365, 58275, 52365, 53711, 52365, 56721, 52365, 50817, 56703, 57369, 52719, 50803, 55173, 50803, 53266, 51973, 51963, 50976, 53266, 50976, 53175, 72371, 52310, 50803, 53175, 50803, 52058, 52057, 51648, 50976, 52058, 50976, 53084, 74961, 79219, 52058, 50803, 53084, 52116, 51648, 50976, 52058, 50976, 53084, 69317, 52310, 50803, 53175, 50803, 51866, 50803, 50799, 51683, 50976, 51947, 50976, 52148, 74804, 67152, 59905, 57466, 51683, 50803, 51947, 50803, 52148, 66218, 52670, 51683, 50976, 51947, 50976, 52148, 66587, 50380, 52439, 59014, 56859, 52310, 50803, 53175, 50803, 51866, 59603, 59905, 52896, 51913, 50976, 53093, 50976, 52698, 50976, 53316, 59127, 58275, 51963, 50803, 53266, 50803, 52384, 66218, 52763, 53152, 50823, 55870, 50823, 52058, 53547, 50380, 53746, 59014, 56637, 53257, 59905, 50837, 59696, 59127, 57466, 52719, 50803, 55173, 50803, 53093, 66218, 52670, 53152, 50976, 55870, 50976, 52058, 66587, 50380, 52439, 59014, 56859, 51913, 50803, 53093, 50803, 52698, 59603, 59905, 52896, 51888, 50976, 52384, 50976, 52194, 50976, 53316, 59127, 58275, 51888, 50803, 52384, 50803, 52194, 66218, 52763, 51888, 50976, 52384, 50976, 52194, 66587, 50380, 53746, 59014, 56637, 51683, 50803, 51947, 50803, 52148, 50881, 50597, 59905, 50837, 50799, 51648, 50976, 52058, 50976, 53084, 74804, 59127, 57466, 79219, 52058, 50803, 53084, 66218, 52670, 51648, 50976, 52058, 50976, 53084, 66587, 50380, 52439, 59014, 56859, 51683, 50803, 51947, 50803, 52148, 59603, 59905, 52896, 52310, 50976, 53175, 50976, 51866, 50976, 53316, 59127, 58275, 51913, 50803, 53093, 50803, 52058, 66218, 52763, 51963, 50823, 52310, 50823, 53266, 50823, 53175, 50823, 53175, 53547, 50380, 53746, 59014, 56637, 53257, 59905, 50837, 59696, 59127, 57466, 52719, 50803, 55173, 50803, 53266, 66218, 52670, 51963, 50976, 53266, 50976, 53175, 66587, 50380, 52439, 59014, 56859, 52310, 50803, 53175, 50803, 52058, 59603, 59905, 52896, 51648, 50976, 52058, 50976, 53084, 50976, 53316, 59127, 58275, 79219, 52058, 50803, 53084, 66218, 52763, 51648, 50976, 52058, 50976, 53084, 66587, 50380, 53746, 59014, 56637, 52310, 50803, 53175, 50803, 51866, 50881, 50597, 59905, 50837, 50799, 51776, 50976, 51866, 50976, 53572, 74804, 59127, 57466, 51776, 50803, 51866, 50803, 53572, 66218, 52670, 51888, 50976, 52384, 50976, 52194, 66587, 50380, 52439, 59014, 56859, 51888, 50803, 52384, 50803, 52194, 59603, 59905, 52896, 51683, 50976, 51947, 50976, 51866, 50976, 53316, 59127, 58275, 51683, 50803, 51947, 50803, 51866, 66218, 52763, 51888, 50976, 52384, 50976, 52194, 66587, 50380, 53746, 59014, 56637, 51888, 50803, 52384, 50803, 52194, 50881, 50597, 59905, 50837, 50799, 52578, 50976, 52698, 50976, 52488, 74804, 59127, 57466, 51913, 50803, 53093, 50803, 52698, 66218, 52670, 51648, 50976, 52058, 50976, 52148, 66587, 50380, 52439, 59014, 56859, 52578, 50803, 52698, 50803, 52488, 59603, 59905, 52896, 51888, 50976, 52384, 50976, 52194, 50976, 53316, 59127, 58275, 51963, 50803, 53266, 50803, 52384, 66218, 52763, 51683, 50976, 51947, 50976, 51866, 66587, 50380, 53746, 59014, 56637, 51888, 50803, 52384, 50803, 52194, 50881, 50597, 59905, 50837, 50799, 52310, 52500, 51648, 52500, 53175, 52500, 52058, 52500, 52058, 51605, 51320, 78930, 66112, 57466, 51845, 53899, 53257, 52630, 50852, 59014, 52209, 53257, 56987, 51845, 52896, 53316, 59127, 58275, 51845, 52763, 50852, 59014, 52349, 52365, 57059, 52365, 57928, 54600, 52365, 57498, 52365, 50883, 59696, 59127, 57466, 52719, 50803, 55173, 50803, 53266, 50803, 68983, 51845, 52670, 51963, 50976, 53266, 50976, 53175, 50976, 69871, 51329, 66888, 50380, 52439, 59014, 56859, 52310, 50803, 53175, 50803, 52058, 50803, 60911, 52365, 59905, 52896, 51648, 50976, 52058, 50976, 53084, 50976, 51213, 51072, 51854, 50975, 53316, 67152, 59905, 58275, 79219, 52058, 50803, 53084, 50803, 51854, 50823, 51845, 52763, 51648, 50976, 52058, 50976, 53084, 50976, 51019, 51072, 51854, 66888, 50380, 53746, 59014, 56637, 52310, 50803, 53175, 50803, 51866, 61020, 50823, 53257, 59905, 50837, 50799, 51185, 50849, 52165, 50849, 52110, 50849, 51683, 50976, 51947, 50976, 52148, 50976, 62644, 51288, 73638, 62249, 59905, 57466, 51185, 50812, 52165, 50812, 52110, 50812, 51683, 50803, 51947, 50803, 52148, 50803, 64287, 51845, 52670, 51683, 50976, 51947, 50976, 52148, 50976, 51288, 66888, 50380, 52439, 59014, 56859, 52310, 50803, 53175, 50803, 51866, 50803, 60264, 51211, 50823, 52365, 59905, 52896, 51185, 50849, 52165, 50849, 52110, 50849, 51913, 50976, 53093, 50976, 52698, 50976, 51213, 51072, 51529, 50975, 53316, 59127, 58275, 51185, 50812, 52165, 50812, 52110, 50812, 51963, 50803, 53266, 50803, 52384, 50803, 61691, 51845, 52763, 53152, 50823, 55870, 50823, 52058, 50823, 51011, 51072, 51075, 53547, 50380, 53746, 59014, 56637, 53257, 59905, 50837, 50799, 51185, 50849, 52165, 50849, 52110, 50849, 62644, 51320, 59127, 57466, 51185, 50812, 52165, 50812, 52110, 50812, 52719, 50803, 55173, 50803, 53093, 50803, 60800, 51845, 52670, 53152, 50976, 55870, 50976, 52058, 50976, 51075, 66888, 50380, 52439, 59014, 56859, 51913, 50803, 53093, 50803, 52698, 50803, 60264, 51529, 50823, 52365, 59905, 52896, 51185, 50849, 52165, 50849, 52110, 50849, 51888, 50976, 52384, 50976, 52194, 50976, 51213, 51072, 51634, 50975, 53316, 59127, 58275, 51185, 50812, 52165, 50812, 52110, 50812, 51888, 50803, 52384, 50803, 52194, 50803, 51634, 50823, 51845, 52763, 51888, 50976, 52384, 50976, 52194, 50976, 51011, 51072, 51634, 66888, 50380, 53746, 59014, 56637, 51683, 50803, 51947, 50803, 52148, 50803, 64287, 53257, 59905, 50837, 50799, 51185, 50849, 51810, 50849, 53706, 50849, 51648, 50976, 52058, 50976, 53084, 50976, 71877, 51854, 73638, 59127, 57466, 51185, 50812, 51810, 50812, 53706, 50812, 79219, 52058, 50803, 53084, 50803, 51854, 50823, 51845, 52670, 51648, 50976, 52058, 50976, 53084, 50976, 51854, 66888, 50380, 52439, 59014, 56859, 51683, 50803, 51947, 50803, 52148, 50803, 62313, 64287, 52365, 59905, 52896, 51185, 50849, 51810, 50849, 53706, 50849, 52310, 50976, 53175, 50976, 51866, 50976, 51415, 51072, 51211, 50975, 53316, 59127, 58275, 51185, 50812, 51810, 50812, 53706, 50812, 51913, 50803, 53093, 50803, 52058, 50803, 60911, 51845, 52763, 51963, 50823, 52310, 50823, 53266, 50823, 53175, 50823, 53175, 50823, 51271, 51072, 51329, 53547, 50380, 53746, 59014, 56637, 53257, 59905, 50837, 50799, 51185, 50849, 51810, 50849, 53706, 50849, 71877, 51320, 59127, 57466, 51185, 50812, 51810, 50812, 53706, 50812, 52719, 50803, 55173, 50803, 53266, 50803, 68983, 51845, 52670, 51963, 50976, 53266, 50976, 53175, 50976, 51329, 66888, 50380, 52439, 59014, 56859, 52310, 50803, 53175, 50803, 52058, 50803, 62313, 60911, 52365, 59905, 52896, 51185, 50849, 51810, 50849, 53706, 50849, 51648, 50976, 52058, 50976, 53084, 50976, 51415, 51072, 51854, 50975, 53316, 59127, 58275, 51185, 50812, 51810, 50812, 53706, 50812, 79219, 52058, 50803, 53084, 50803, 51854, 50823, 51845, 52763, 51648, 50976, 52058, 50976, 53084, 50976, 51271, 51072, 51854, 66888, 50380, 53746, 59014, 56637, 52310, 50803, 53175, 50803, 51866, 61020, 50823, 53257, 59905, 50837, 50799, 51403, 50849 ]
[ 0, 250, 2635, 8, 15352, 30054, 5175, 3495, 2214, 4246, 21979, 8669, 6, 13305, 6, 21072, 6, 21979, 9590, 6, 8, 5730, 2342, 4467, 4, 20, 1349, 34, 10, 2933, 8, 25306, 619, 7, 24, 6, 278, 11, 5, 762, 9, 230, 10431, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 7383, 741, 1685, 4, 20, 1049, 33215, 16739, 10726, 9, 230, 10431, 6, 2060, 6, 12608, 119, 6, 230, 10431, 6, 8, 2060, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 53028, 50980, 51544, 50980, 51570, 50980, 52320, 50980, 58526, 50980, 50965, 51411, 50965, 51411, 51028, 51411, 50931, 74989, 65559, 50965, 64318, 51028, 53513, 51176, 50980, 50965, 51411, 51001, 51411, 50444, 51028, 65479, 51411, 50447, 51176, 52931, 50965, 50844, 71436, 51176, 56277, 50965, 50844, 71436, 57126, 61366, 71274, 51411, 51234, 51226, 51378, 51226, 69724, 66289, 53770, 71436, 50989, 64318, 51001, 53513, 50931, 65479, 51411, 50965, 51411, 51503, 51285, 51050, 65980, 50931, 55876, 50965, 54004, 71436, 50965, 51411, 50453, 65559, 58526, 50980, 50965, 51411, 50965, 51411, 51028, 51411, 50931, 51411, 56732, 51226, 50426, 65559, 50965, 64318, 71436, 56732, 52686, 51176, 50980, 50965, 51411, 51001, 51411, 56732, 51685, 50444, 51028, 65479, 51411, 50447, 51176, 52931, 51176, 60781, 66289, 50892, 57126, 61366, 71274, 51411, 51234, 51226, 51378, 51226, 69724, 66289, 53770, 71436, 50989, 64318, 51001, 53513, 51028, 60540, 51411, 50871, 51411, 51503, 51285, 51050, 51285, 50447, 50965, 54004, 71436, 50965, 51411, 50453, 65559, 57126, 61366, 71274, 51411, 51234, 51226, 51378, 51226, 69724, 66289, 53770, 71436, 50989, 64318, 51001, 53513, 51028, 60540, 51411, 50871, 51411, 51503, 51285, 51050, 51285, 50447, 50965, 54004, 71436, 50965, 51411, 50453, 65559, 50799, 52756, 51066, 51176, 50980, 50965, 51411, 50965, 51411, 51028, 51411, 50931, 74989, 54324, 50803, 65559, 50965, 64318, 55667, 50803, 51028, 53513, 54324, 51066, 51176, 50980, 50965, 51411, 51001, 51411, 50444, 55667, 67797, 65479, 51411, 50447, 51176, 52931, 55667, 50803, 71436, 51176, 60781, 60977, 55667, 50803, 71436, 50799, 54942, 69073, 61366, 71274, 51411, 51234, 51226, 51378, 72041, 55667, 69073, 66289, 53770, 54324, 67797, 50844, 50989, 64318, 51001, 53513, 52756, 51066, 50931, 65479, 51411, 50965, 51411, 51503, 51285, 51050, 65980, 50931, 55876, 50965, 54004, 71436, 50965, 51411, 50453, 65559, 50799, 52756, 51066, 51176, 50980, 50965, 51411, 50965, 51411, 51028, 51411, 50931, 74989, 54467, 50803, 65559, 50965, 64318, 53527, 50803, 51028, 53513, 54324, 51066, 51176, 50980, 50965, 51411, 51001, 51411, 50444, 55667, 67797, 65479, 51411, 50447, 51176, 52931, 55667, 50803, 51176, 60781, 66289, 60977, 55667, 50803, 50799, 54942, 69073, 61366, 71274, 51411, 51234, 51226, 51378, 72041, 55667, 69073, 66289, 53770, 54324, 67797, 50844, 50989, 64318, 51001, 53513, 55667, 51066, 51028, 60540, 51411, 50871, 51411, 51503, 51285, 51050, 51285, 50447, 50965, 54004, 71436, 50965, 51411, 50903, 72880, 51160, 50453, 51001, 56569, 55667, 50803, 50799, 50726, 50305, 50980, 52756, 51066, 51176, 50980, 50965, 51411, 50965, 51411, 51028, 51411, 50931, 51411, 50992, 50980, 51125, 50980, 51868, 58571, 57819, 56003, 54324, 50803, 50726, 50305, 50806, 65559, 50965, 61678, 68893, 50806, 51868, 70785, 72880, 63576, 76707, 55667, 50803, 51028, 53513, 54324, 51066, 71242, 51285, 51176, 50980, 50965, 51411, 51001, 51411, 50992, 51285, 50935, 51285, 51668, 51285, 51450, 51575, 52692, 55667, 67797, 65479, 51411, 50798, 53374, 50447, 51176, 50806, 51955, 53757, 69284, 55667, 50803, 71436, 51176, 60781, 53021, 54863, 55667, 50803, 51028, 53199, 50821, 50799, 54942, 62119, 61366, 71274, 51411, 51234, 51226, 51378, 51226, 51017, 50980, 50944, 50980, 51705, 58571, 57819, 50980, 50417, 54942, 52244, 55667, 69073, 66289, 53770, 54324, 67797, 50844, 50989, 67493, 60338, 50806, 51705, 70785, 72880, 63576, 76707, 51001, 53513, 52756, 51066, 50931, 65479, 51411, 50965, 51411, 51503, 51285, 51050, 51285, 51017, 51285, 50872, 51285, 51140, 51285, 51450, 51575, 52692, 50931, 53948, 53374, 50447, 50965, 54004, 71436, 50965, 51411, 50903, 53757, 53374, 50453, 65559, 51453, 54863, 55667, 68494, 50799, 50726, 50305, 50980, 52756, 51066, 51176, 50980, 50965, 51411, 50965, 51411, 51028, 51411, 50931, 51411, 50992, 50980, 51125, 50980, 51868, 58571, 57819, 56003, 54467, 50803, 50726, 50305, 50806, 65559, 50965, 61678, 68893, 50806, 51868, 70785, 72880, 63576, 76707, 53527, 50803, 51028, 53513, 54324, 51066, 71242, 51285, 51176, 50980, 50965, 51411, 51001, 51411, 50992, 51285, 50935, 51285, 51668, 51285, 51450, 51575, 52692, 55667, 67797, 65479, 51411, 50798, 53374, 50447, 51176, 50806, 51955, 53757, 69284, 55667, 50803, 51176, 60781, 66289, 53021, 54863, 55667, 68494, 50799, 54942, 69073, 61366, 71274, 51411, 51234, 51226, 51378, 51226, 51017, 50980, 50944, 50980, 51705, 58571, 57819, 59217, 55667, 69073, 66289, 53770, 54324, 67797, 50844, 50989, 67493, 60338, 50806, 51705, 70785, 72880, 63576, 76707, 51001, 53513, 55667, 51066, 51028, 60540, 51411, 50871, 51411, 51503, 51285, 51050, 51285, 51017, 51285, 50872, 51285, 51140, 51285, 51450, 53374, 52129, 53374, 50447, 50965, 54004, 71436, 50965, 51411, 50903, 53757, 53374, 50453, 65559, 51453, 77913, 50821, 50799, 50726, 50305, 50980, 52756, 51066, 51176, 50980, 50965, 51411, 50965, 51411, 51028, 51411, 50931, 51411, 50992, 50980, 51125, 50980, 51868, 58571, 57819, 56003, 54324, 50803, 50726, 50305, 50806, 65559, 50965, 61678, 68893, 50806, 51868, 70785, 72880, 63576, 76707, 55667, 50803, 51028, 53513, 54324, 51066, 71242, 51226, 51176, 50980, 50965, 51411, 51001, 51411, 50992, 51285, 50935, 51285, 51668, 51285, 51450, 51575, 52692, 55667, 67797, 65479, 51411, 50798, 53374, 50447, 51176, 50806, 51955, 53757, 69284, 59018, 50803, 52756, 50821, 51176, 60781, 66289, 53021, 54863, 59018, 50803, 52756, 63421, 50799, 63331, 50806, 53527, 69073, 61366, 71274, 51411, 51234, 51226, 51378, 51226, 51017, 50980, 50944, 50980, 51705, 58571, 57819, 59217, 59018, 50806, 55861, 69073, 66289, 53770, 59018, 50806, 55861, 67797, 50844, 50989, 67493, 60338, 50806, 51705, 70785, 72880, 63576, 76707, 51001, 53513, 55861, 51066, 50726, 50305, 51285, 51028, 60540, 51411, 50871, 51411, 51503, 51285, 51050, 51285, 51017, 51285, 50872, 51285, 51140, 51285, 51955, 63576, 51160, 51456, 66911, 55667, 50802, 50799, 63331, 50821, 55857, 64659, 50821, 50973, 51363, 51001, 51363, 51114, 51363, 50989, 51411, 51042, 51226, 50944, 51226, 51668, 52090, 65731, 74859, 58718, 59018, 50806, 55667, 56798, 52774, 51668, 62233, 65731, 74859, 54901, 59018, 50821, 55667, 59237, 52422, 50989, 63675, 53757, 65731, 50806, 52356, 74177, 51930, 52686, 50973, 66714, 76919, 71274, 51411, 51042, 51285, 50944, 51285, 51793, 68398, 53660, 53262, 51160, 51289, 66132, 51160, 51450, 65731, 74859, 51192, 50441, 59018, 50821, 55667, 59237, 53247, 59018, 50821, 55667, 59237, 50821, 53262, 62233, 65731, 74859, 55967, 63331, 50821, 55857, 64659, 50821, 50973, 66714, 76919, 54058, 59018, 50821, 55667, 59237, 62809, 53757, 65731, 50806, 52356, 50980, 50453, 55857, 50806, 54324, 64726, 50844, 65559, 74251, 50989, 52931, 73186, 65559, 74251, 51793, 68398, 54863, 51930, 68398, 66132, 51160, 50799, 63331, 50821, 55857, 64659, 72728, 51363, 51028, 51363, 50931, 51363, 50871, 51411, 51017, 51226, 50872, 51226, 51868, 52090, 65731, 74859, 51192, 50417, 59018, 50806, 55667, 56798, 52774, 51868, 62233, 65731, 74859, 54901, 59018, 50821, 55667, 59237, 52422, 50871, 63675, 53757, 65731, 50806, 52356, 74177, 51930, 52686, 50965, 66289, 61913, 60540, 51411, 51017, 51285, 50872, 51285, 51793, 68398, 53660, 53033, 51160, 51289, 66132, 51160, 51450 ]
[ 0, 250, 32693, 3495, 1011, 625, 8668, 12049, 9, 657, 8, 11926, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 15352, 30054, 15229, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 12608, 6, 230, 10431, 6, 12608, 6, 8, 2060, 6, 2351, 10, 19448, 5466, 1328, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 51050, 51066, 50871, 51591, 50900, 51293, 51176, 79197, 51247, 51790, 50871, 51675, 50900, 52919, 51176, 55428, 50442, 50956, 51080, 50443, 51503, 51742, 61614, 51803, 60212, 51176, 52783, 50871, 52168, 51040, 51680, 51360, 51662, 50425, 50871, 51295, 51360, 51452, 61104, 51535, 50454, 51026, 51592, 51085, 51662, 50900, 51662, 50916, 51422, 50461, 51026, 52168, 50916, 51803, 50900, 51680, 51085, 51742, 50796, 53069, 51050, 53588, 60284, 51141, 50421, 50900, 52151, 50871, 53082, 51176, 57422, 63686, 51295, 51247, 51397, 51176, 51627, 50871, 53487, 50440, 76587, 76495, 75926, 51040, 51742, 51360, 51692, 51176, 52826, 50454, 50876, 51177, 50460, 50931, 51191, 57497, 51422, 51040, 51592, 50427, 50931, 51158, 50435, 50931, 51623, 50437, 50956, 52826, 50900, 53849, 50438, 51503, 52062, 50447, 51503, 51790, 50900, 53487, 50956, 53487, 52177, 51001, 52151, 50430, 51026, 52168, 50431, 51085, 51244, 51026, 51314, 51085, 52980, 50796, 71289, 51680, 51176, 52168, 51360, 52015, 50871, 51680, 50448, 51360, 51391, 51040, 51391, 51176, 51310, 50871, 51310, 50461, 50931, 51121, 55753, 50951, 51363, 50428, 51176, 53486, 51503, 51803, 50900, 52826, 50956, 53849, 50429, 51147, 51417, 51176, 51244, 50900, 51183, 50956, 51047, 50430, 51503, 66563, 50951, 51255, 50459, 51085, 51939, 51026, 51592, 50460, 51001, 52222, 51601, 51026, 51445, 50900, 51445, 50956, 51313, 50416, 51085, 51243, 77033, 51050, 50806, 51050, 51295, 50900, 51477, 50871, 51283, 51176, 51627, 50435, 50900, 51535, 51176, 51047, 51247, 51145, 50871, 53651, 50449, 50876, 61327, 50906, 51110, 50460, 51040, 51627, 51176, 68026, 51145, 51360, 51047, 50461, 51040, 51080, 51176, 51445, 57497, 51742, 50416, 75023, 50423, 50931, 50849, 50431, 51147, 78259, 51081, 51255, 50441, 51503, 77132, 51680, 50956, 54249, 50442, 51176, 51878, 50443, 50900, 51627, 50956, 51314, 51503, 51103, 50447, 51147, 51145, 56020, 50951, 51203, 50423, 51026, 51680, 50900, 52015, 50424, 51085, 51680, 50431, 50931, 51484, 51026, 51447, 50900, 51148, 50956, 52168, 50432, 51085, 79869, 51001, 51679, 50456, 51001, 51110, 50461, 51176, 51490, 51040, 51447, 51360, 51080, 54578, 51447, 65882, 51283, 51176, 51283, 51040, 51283, 51360, 51448, 50931, 51452, 50443, 51026, 52136, 50916, 51627, 50444, 51026, 55002, 50916, 51283, 50900, 51878, 50968, 51627, 51085, 79304, 51244, 51085, 52783, 52478, 50968, 51412, 50422, 51176, 52168, 50871, 51680, 50423, 51247, 52783, 50900, 52783, 50425, 51050, 53487, 50900, 53233, 51176, 55116, 50871, 58643, 50427, 50931, 51422, 50796, 50436, 51360, 51397, 51176, 56563, 50871, 52598, 51040, 51490, 50441, 51040, 50809, 51360, 51477, 51040, 51283, 50454, 50931, 51158, 50461, 50951, 51100, 52591, 50956, 51318, 50965, 51637, 51197, 51749, 51147, 51472, 50421, 50997, 51965, 50424, 50997, 52136, 50956, 51637, 50965, 51637, 51197, 51627, 50442, 74174, 50449, 50900, 51449, 50965, 55275, 51176, 51922, 50956, 51671, 50450, 51001, 51790, 51503, 51243, 50459, 50900, 52062, 51176, 53588, 51503, 51243, 50956, 51243, 50796, 50447, 51028, 51121, 50454, 50876, 51363, 58526, 52980, 51360, 52140, 51040, 54249, 50871, 53849, 50415, 51028, 51043, 68225, 51642, 50423, 51176, 51283, 51040, 51627, 50871, 51397, 51360, 51047, 50429, 51028, 51534, 50438, 51001, 51411, 50446, 50931, 51363, 50451, 50997, 52263, 51234, 51535, 50455, 51001, 51775, 51234, 51183, 50997, 51314, 51040, 68026, 51145, 51601, 51028, 51642, 72784, 51775, 50433, 50906, 51662, 50436, 50956, 52140, 50437, 52046, 51939, 51026, 52528, 50997, 52431, 50440, 50997, 51314, 51197, 51662, 50861, 53487, 50956, 53233, 59412, 50900, 51878, 70161, 51080, 50456, 51360, 51080, 51176, 51314, 51040, 68026, 51080, 50459, 51040, 50895, 51176, 52263, 70837, 51360, 51413, 51040, 51627, 60212, 50931, 51215, 50431, 50951, 51158, 50439, 51197, 51627, 50997, 51878, 50965, 51627, 50956, 51535, 51147, 50918, 50440, 50997, 51627, 50956, 51448, 50965, 51627, 51197, 51562, 60820, 51178, 53502, 52062, 50965, 56599, 51176, 56599, 50956, 53142, 51503, 52222, 50422, 51147, 51358, 50428, 50900, 52071, 51176, 52222, 51503, 52069, 50956, 52151, 52478, 51001, 51095, 56546, 51109, 50435, 51040, 51080, 50436, 51176, 54532, 50871, 51447, 51360, 51803, 50437, 51028, 51203, 50439, 51176, 51627, 51360, 51742, 51040, 52062, 50871, 51445, 50445, 50876, 51363, 50453, 51028, 51203, 50461, 51001, 51255, 52478, 50997, 51679, 51234, 51310, 61683, 51680, 50997, 52015, 50871, 51742, 50421, 50931, 51194, 51234, 51452, 50429, 51001, 51423, 50436, 51028, 51233, 50443, 50876, 51534, 50447, 51026, 57820, 50997, 54249, 52046, 54249, 50956, 54249, 50451, 50906, 52222, 50455, 50956, 51243, 50456, 50997, 51748, 50861, 51449, 51197, 53651, 50796, 55753, 51050, 68382, 51680, 51050, 51677, 50871, 52826, 51176, 52204, 50422, 51247, 51477, 51176, 51477, 50900, 51637, 50871, 51295, 74206, 51175, 50445, 50906, 51177, 50449, 51360, 51080, 51040, 51314, 51176, 51314, 79173, 50451, 50876, 51194, 50454, 51040, 51680, 51360, 51692, 50459, 50931, 51091, 59412, 50931, 77834, 50931, 51692, 50436, 51176, 52598, 50900, 51878, 50956, 52263, 51503, 51627, 50439, 51503, 51161, 50900, 52919, 50956, 53413, 53069, 51001, 52015, 50421, 51026, 51878, 50900, 51878, 50956, 51878, 50422, 51085, 51965, 50423, 51026, 52015, 51085, 51422, 50796, 50434, 51360, 51244, 51040, 51148, 51176, 51314, 77920, 50437, 51360, 51448, 51040, 51749, 51176, 51145, 77920, 50447, 50931, 51233, 50455, 50951, 51101, 62856, 51194, 50416, 51176, 51080, 51503, 79304, 51148, 50956, 62557, 51176, 51592, 50956, 55408, 50900, 55408, 50421, 51503, 51518, 50422, 51081, 51423, 50429, 51147, 51277, 50436, 50951, 51199, 50446, 51001, 51922, 50449, 50956, 52062, 50450, 51085, 51592, 51026, 51592, 50900, 51662, 50453, 51026, 51243, 50454, 51085, 53753, 50796, 53069, 50900, 51244, 51176, 51314, 50871, 62557, 51247, 51145, 50423, 51050, 50961, 50900, 51397, 51050, 51103, 51176, 52919, 50871, 52919, 74206, 75658, 50906, 51110, 50452, 79844, 51040, 51080, 51360, 51790, 50453, 51040, 51244, 51360, 51148, 51176, 51244, 71698, 50460, 50931, 51101, 52591, 51147, 51194, 50427, 51081, 51255, 50436, 51147, 51127, 51176, 52168, 51503, 52015, 50900, 53233, 50956, 54249, 50437, 51503, 51127, 51176, 79304, 51742, 50956, 53233, 50460, 50951, 51400, 52591, 51026, 51447, 50421, 50931, 51534, 51085, 51145, 50424, 51085, 51448, 51026, 51627, 50900, 51535, 50430, 51001, 51961, 50448, 51001, 51363, 50454, 51176, 51283, 51040, 51477, 50871, 51397, 51360, 51535, 50455, 50931, 51127, 50460, 51040, 51080, 50461, 51176, 51878, 50871, 51397, 51360, 51145, 77033, 50931, 51178, 50435, 51026, 51562, 51085, 51790, 50916, 51742, 50436, 51026, 51477, 50916, 51477, 50900, 51310, 51085, 51448, 50900, 53233, 50439, 50968, 51295, 56229, 52069, 50415, 51176, 52151, 50900, 52071, 50871, 52071, 50416, 50965, 51514, 50300, 52783, 51247, 51945, 74850, 52015, 51247, 51742, 68225, 51212, 50428, 50931, 50938, 65281, 55218, 50871, 51100, 50965, 51110, 78202, 61348, 50956, 58263, 51100, 50460, 50876, 50836, 53069, 51040, 51177, 50871, 51060, 66650, 51680, 50421, 51040, 52168, 50871, 51803, 52759, 51742, 62144, 61721, 51028, 56983, 50965, 54207, 50871, 64860, 50965, 51101, 50457, 74730, 51601, 50965, 60171, 51503, 51480 ]
[ 0, 250, 20902, 3495, 3152, 2214, 4246, 10, 11739, 9, 13305, 6, 31391, 1672, 9590, 6, 17465, 102, 6, 8, 21979, 8, 3459, 29589, 6, 2351, 10, 32076, 8, 15352, 30054, 5466, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 23667, 20889, 9, 18817, 13410, 228, 2289, 6, 7630, 14805, 10, 1472, 9, 2365, 9450, 8, 1619, 4780, 4, 20, 33215, 16739, 9, 274, 10431, 119, 6, 163, 119, 406, 6, 8, 83, 401, 3639, 7, 63, 14899, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 50461, 51355, 50818, 51630, 50880, 51229, 50820, 51390, 50836, 50799, 51780, 50879, 52395, 50805, 51590, 50901, 51924, 50892, 50419, 51355, 50808, 51229, 53728, 51630, 50952, 51390, 50878, 50425, 51355, 50890, 51229, 54156, 51350, 50883, 51659, 51060, 51780, 50937, 51366, 50828, 51547, 51101, 51590, 51006, 50431, 79884, 51350, 50808, 51229, 50810, 51366, 61573, 51350, 50818, 51195, 50893, 51659, 50873, 51366, 50820, 51322, 50873, 51547, 72194, 51545, 50830, 51350, 50800, 51912, 50878, 51366, 53783, 50816, 53641, 50816, 52725, 51265, 50930, 51664, 52411, 63209, 68317, 51545, 51010, 51912, 57637, 51265, 50930, 51664, 53875, 51990, 50893, 52812, 63007, 57089, 50855, 52851, 50808, 54012, 50812, 52384, 59700, 56387, 51177, 52698, 50873, 62404, 50807, 68946, 51232, 50807, 51494, 51060, 51181, 50893, 51265, 50821, 51664, 50812, 69419, 51654, 75484, 53152, 50879, 57570, 50873, 50416, 51545, 50833, 51912, 73616, 75493, 51322, 54351, 58001, 50808, 66491, 51374, 50862, 62986, 51049, 50928, 51913, 50821, 56065, 50812, 52148, 50812, 52377, 60341, 51132, 52329, 52785, 50833, 51198, 50867, 51195, 51192, 51322, 51121, 55359, 52209, 53483, 50983, 51198, 51112, 51494, 50807, 51119, 51048, 51429, 51091, 51275, 51091, 56686, 50983, 51640, 51356, 52358, 58721, 51195, 50887, 51322, 50813, 73718, 56432, 51195, 50880, 51322, 50836, 51180, 55686, 51545, 50930, 51912, 53886, 51198, 50844, 51195, 51030, 51322, 50917, 55901, 58014, 51374, 51238, 50456, 51099, 51116, 51429, 51116, 51275, 51116, 52070, 51141, 52533, 51141, 58001, 51356, 51195, 50809, 51322, 52923, 51041, 55397, 51195, 50882, 51322, 50812, 50799, 51265, 50859, 51664, 50854, 51842, 50416, 51545, 50809, 51912, 63315, 51374, 50879, 51195, 50921, 51322, 60724, 52902, 60931, 51195, 51010, 51322, 54818, 51099, 50845, 51275, 50897, 51429, 50854, 51910, 50893, 55359, 61869, 51195, 50887, 51322, 61721, 51374, 50892, 51350, 50821, 51366, 52749, 51869, 54534, 51239, 58039, 51195, 50840, 51322, 60633, 51350, 50884, 51366, 50839, 56846, 50930, 52103, 50800, 53151, 50808, 51702, 51724, 51099, 50967, 53366, 50901, 51708, 51091, 51429, 50865, 51275, 51048, 51349, 50859, 51659, 50808, 51547, 53835, 51135, 62969, 57089, 50887, 52851, 57108, 54012, 50862, 52384, 65891, 55749, 50854, 52719, 50812, 52601, 54746, 51349, 50857, 51350, 50887, 51366, 50813, 71218, 50818, 52058, 62813, 51349, 50820, 63330, 50855, 56844, 50810, 53339, 50874, 53175, 64913, 52537, 50889, 57089, 50911, 52384, 55260, 51099, 50925, 76022, 71008, 51910, 50895, 51195, 50806, 51322, 52808, 52538, 50895, 52851, 50923, 54012, 64751, 51349, 59163, 51640, 50890, 52601, 50833, 52058, 52955, 51708, 50857, 51350, 50859, 51366, 50854, 55749, 51420, 50863, 52719, 67383, 51374, 50809, 51195, 50808, 51322, 50822, 53175, 57400, 63330, 50855, 56844, 50862, 53339, 61982, 51181, 50893, 53084, 50879, 65100, 51159, 56387, 50925, 52176, 50807, 51198, 50830, 51494, 50795, 51265, 50887, 51664, 50813, 50709, 50327, 50893, 51927, 51005, 50883, 52310, 50795, 52578, 51173, 61249, 50873, 50416, 51545, 50800, 51912, 75802, 58001, 51008, 51374, 50840, 51195, 50809, 51322, 50813, 52488, 54681, 51119, 50808, 50709, 50330, 50887, 51960, 51648, 50894, 52002, 50830, 63647, 53184, 51195, 50829, 51322, 59509, 51132, 54392, 52785, 50878, 51198, 50837, 51195, 51286, 51322, 64532, 52538, 53644, 56686, 51291, 51275, 51091, 53483, 51091, 51198, 51112, 51494, 51091, 51119, 51091, 51640, 51356, 52620, 55813, 75493, 51322, 53614, 64863, 55757, 51545, 50890, 51912, 54247, 51195, 50830, 51322, 50955, 60551, 51198, 50904, 51195, 50936, 51322, 50917, 55359, 58464, 51545, 50862, 51912, 55735, 52533, 51204, 51099, 51077, 51429, 51077, 51275, 51077, 52070, 51077, 58001, 51141, 51374, 51073, 71218, 61765, 51195, 50808, 51322, 50822, 50799, 51265, 50812, 51664, 50874, 51956, 50416, 51545, 50836, 51912, 66182, 52474, 50805, 51195, 50921, 51322, 50897, 51039, 55047, 62518, 51374, 66373, 50880, 51322, 50855, 68991, 60568, 51195, 50809, 51322, 59833, 52474, 50805, 51350, 50930, 51366, 53695, 52176, 52972, 51239, 59383, 67250, 51322, 55643, 52533, 59948, 51844, 50901, 51350, 50846, 51366, 52766, 52537, 51189, 51099, 51091, 51429, 50914, 51275, 51159, 51659, 50830, 51547, 50878, 52620, 60862, 51857, 55322, 51350, 50800, 51366, 53197, 51041, 60145, 51195, 50806, 51322, 54230, 51708, 51267, 60310, 51346, 51338, 50873, 53659, 52349, 51957, 50873, 51350, 50821, 51366, 51420, 55397, 51659, 50859, 51547, 50854, 57089, 50962, 52851, 50890, 54012, 50855, 52384, 62659, 56387, 50942, 53152, 50911, 57570, 51012, 52698, 50911, 62404, 51312, 51232, 51345, 51494, 50805, 78371, 51265, 50808, 51664, 50844, 69419, 50849, 70275, 56092, 51545, 50855, 51912, 66182, 62986, 52734, 58001, 50833, 66491, 51374, 50809, 51195, 50880, 51322, 50855, 52008, 51913, 50858, 56065, 51033, 52148, 50882, 50425, 51132, 54818, 52785, 50854, 51198, 50904, 51195, 50923, 51322, 52108, 51179, 52209, 56686, 51364, 53483, 51364, 51198, 51345, 51494, 51294, 51119, 51294, 51429, 51294, 51275, 51294, 51640, 51446, 52352, 51005, 53593, 51195, 50808, 51322, 50844, 51570, 54534, 55757, 51195, 50890, 51322, 50855, 51180, 54914, 51545, 50840, 51912, 54086, 51198, 50854, 51195, 50860, 51322, 53538, 52538, 53650, 58001, 51472, 52533, 50983, 51099, 50991, 51429, 50991, 51275, 50967, 52070, 50983, 51374, 51194, 51195, 50809, 51322, 53111, 58597, 61765, 65033, 51322, 60870, 68834, 51664, 50864, 51094, 50301, 50844, 51956, 50417, 57058, 51008, 51545, 50840, 51912, 65942, 52474, 74895, 51195, 50821, 51322, 51420, 58200, 53087, 68177, 51429, 50810, 76440, 57058, 50974, 51195, 50962, 51322, 52634, 51041, 54013, 51195, 50809, 51322, 52810, 51869, 50835, 52474, 50974, 51350, 50887, 51366, 52784, 51187, 63795, 51195, 50828, 51322, 57405, 54144, 51003, 51350, 50895, 51366, 50841, 56846, 50859, 52103, 50859, 51702, 59646, 51708, 51091, 51099, 51060, 51275, 50807, 51429, 50865, 51659, 51045, 51547, 50830, 52553, 50835, 53151, 62442, 57089, 50808, 52851, 50887, 54012, 50862, 52384, 73946, 55749, 50800, 52719, 50833, 52601, 54653, 51350, 50882, 51366, 51420, 59275, 50895, 52058, 62150, 63330, 50810, 56844, 50813, 53339, 55761, 53175, 53140, 60310, 51255, 51099, 50977, 76022, 51489, 50808, 57058, 51775, 51195, 50806, 51322, 50873, 57089, 50923, 55359, 50818, 52851, 50923, 54012, 50923, 52384, 50893, 50455, 51350, 50858, 51366, 50854, 52058, 51754, 51708, 50813, 55749, 51582, 50908, 52719, 50812, 52601, 57264, 51349, 50813, 67250, 51322, 50886, 63330, 50962, 56844, 50862, 53339, 50809, 53175, 58449, 53084, 50806, 62404, 51073, 51198, 51215, 51232, 50924, 51494, 50879, 56387, 50937, 51181, 50987, 51265, 50800, 51664, 50810, 50709, 50327, 50911, 52553, 50834, 52310, 50806, 61249, 51012, 50417, 51545, 50809, 51912, 65942, 51374, 53299, 51232, 51006, 58001, 50854, 79408, 51195, 50921, 51322, 50925, 50709, 50330, 50890, 52008, 51648, 50855, 63647, 50894, 52488, 53049, 52785, 50855, 51198, 50864, 51132, 50809, 51195, 51500, 51322, 69365, 52538, 62171, 56686, 51343, 50432, 53483, 51141, 51198, 51116, 51494, 50889, 51275, 51141, 51119, 51157, 51640, 51048, 54958, 51005, 52600, 51195, 50865, 51322, 50866, 51715, 52388, 53756, 53675, 51374, 50833, 51545, 50811, 51912 ]
[ 0, 250, 765, 37903, 9, 20425, 5175, 40385, 930, 4246, 18558, 10, 25118, 6, 38668, 483, 6, 8, 38668, 9590, 6, 278, 11, 5, 762, 9, 274, 10431, 3694, 19, 10, 1769, 20889, 8, 10, 33215, 13931, 9, 274, 10431, 119, 6, 163, 119, 6, 274, 10431, 119, 6, 8, 230, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 53134, 50795, 54308, 51492, 51902, 51161, 50422, 54862, 50800, 58606, 53244, 53134, 57775, 54862, 50800, 58606, 53402, 53134, 59830, 54862, 50800, 58606, 53484, 53190, 50795, 52170, 50918, 50458, 54862, 50800, 58606, 50830, 50799, 53190, 60010, 54862, 50800, 58606, 53244, 52452, 78746, 50918, 50434, 54862, 50800, 58606, 53402, 52452, 59830, 54862, 50800, 58606, 53484, 52751, 50795, 52075, 72576, 54862, 50800, 58606, 50830, 50799, 74624, 52290, 51161, 50422, 54862, 50800, 58606, 53244, 52174, 57775, 54862, 50800, 58606, 53402, 52174, 59830, 54862, 50800, 58606, 53484, 52751, 50795, 52075, 72576, 54862, 50800, 58606, 50830, 50799, 54133, 50795, 52974, 51161, 50422, 54862, 50800, 58606, 53244, 54133, 57775, 54862, 50800, 58606, 53402, 54133, 59830, 54862, 50800, 58606, 53484, 52452, 78746, 72576, 54862, 50800, 53190, 50800, 58606, 50830, 50799, 53134, 50795, 59440, 51492, 51902, 51161, 50422, 55537, 50800, 53377, 53244, 53134, 57775, 55537, 50800, 53377, 53402, 53134, 59830, 55537, 50800, 53377, 53484, 53190, 50795, 52170, 50918, 50458, 55537, 50800, 53377, 50830, 50799, 53190, 60010, 55537, 50800, 53377, 53244, 52452, 78746, 50918, 50434, 55537, 50800, 53377, 53402, 52452, 59830, 55537, 50800, 53377, 53484, 52751, 50795, 52075, 72576, 55537, 50800, 53377, 50830, 50799, 52452, 78746, 51036, 50422, 55537, 50800, 53377, 53244, 52452, 57775, 55537, 50800, 53377, 53402, 52452, 59830, 55537, 50800, 53377, 53484, 52452, 59831, 55537, 50800, 53377, 50830, 50799, 53190, 50795, 52170, 51036, 50422, 55537, 50800, 53377, 53244, 53190, 57775, 55537, 50800, 53377, 53402, 53190, 59830, 55537, 50800, 53377, 53484, 53190, 59831, 55537, 50800, 53190, 50800, 53377, 50830, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15352, 30054, 3495, 1619, 2214, 19, 5175, 4785, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 18558, 6, 38668, 11212, 6, 8, 3459, 9590, 4, 8504, 11, 381, 3694, 19, 10, 231, 73, 398, 86, 6543, 8, 10, 7212, 20889, 6, 24, 7630, 6568, 10, 1372, 8, 33558, 6711, 4, 20, 33215, 16739, 9, 3676, 6, 1918, 6, 211, 6, 1918, 6, 211, 3639, 7, 63, 12298, 16426, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50628, 50473, 51019, 50975, 50485, 51069, 51059, 51540, 50798, 53434, 55893, 58091, 51336, 50425, 62059, 50918, 55057, 50820, 58969, 50918, 55846, 51336, 52133, 51010, 50427, 51089, 50942, 51118, 51051, 50428, 51023, 52749, 52133, 61169, 51089, 50977, 51118, 51079, 52133, 52599, 73550, 51023, 51254, 50443, 52133, 61841, 52133, 50840, 51899, 54501, 50818, 50462, 73550, 50474, 50798, 53434, 50818, 51019, 50993, 51540, 50798, 53434, 50883, 51069, 51029, 50424, 62059, 50918, 58969, 50918, 55846, 51336, 58091, 51336, 50425, 52133, 50930, 55057, 50834, 51118, 51051, 51089, 50925, 51023, 50897, 50431, 52133, 61170, 52133, 61055, 51089, 51101, 51023, 51177, 57315, 77356, 51481, 50442, 52133, 52513, 52133, 71324, 54501, 50884, 51474, 50473, 51019, 50993, 51540, 50798, 53434, 50895, 51069, 51059, 50425, 62059, 50918, 58969, 51336, 55846, 51336, 58091, 51336, 52133, 52422, 50843, 55477, 51089, 50822, 51118, 50827, 60377, 50431, 52133, 66144, 52133, 60831, 51089, 50925, 51118, 50955, 51023, 50925, 57315, 60067, 52133, 50836, 51899, 54501, 50818, 50462, 73550, 50473, 51019, 51066, 50474, 50798, 53434, 50818, 51540, 50798, 53434, 50883, 51069, 51059, 50424, 62059, 51336, 58969, 50918, 55846, 50918, 58091, 50918, 50425, 52133, 53939, 73550, 66525, 73313, 51118, 68313, 52133, 60831, 51089, 51100, 51118, 51212, 51023, 51121, 52133, 52444, 50843, 58655, 52133, 50887, 51899, 54501, 50884, 50474, 66862, 51540, 50798, 53434, 50883, 51069, 51029, 50946, 51191, 50425, 50850, 53049, 71970, 56640, 50885, 51313, 50909, 61868, 50850, 56288, 50844, 50909, 52788, 50843, 65289, 51677, 50449, 51089, 50924, 51282, 74428, 50859, 51955, 51695, 51989, 57399, 54148, 70629, 52803, 50854, 50462, 50843, 50820, 50473, 54033, 50955, 50474, 50798, 53434, 50841, 66862, 50485, 51069, 51300, 51540, 50798, 53434, 71036, 51446, 55057, 65734, 51313, 55119, 63040, 67577, 55108, 50843, 50839, 56521, 56105, 59178, 50868, 51803, 51955, 51695, 50895, 51118, 50952, 51089, 50859, 51282, 50812, 54148, 50952, 50850, 51447, 50461, 52803, 50810, 50462, 50843, 50820, 50473, 54033, 50955, 50474, 50798, 53434, 50841, 51019, 50975, 51540, 50798, 53434, 50883, 51069, 51029, 50946, 51134, 50425, 55853, 50868, 53220, 50843, 65734, 51449, 50909, 63123, 56521, 56105, 50909, 55467, 50843, 65289, 51592, 51955, 51695, 50895, 51118, 50830, 51282, 68094, 60354, 51318, 50451, 54148, 50938, 50462, 50843, 50820, 52803, 50878, 50473, 51019, 50993, 54033, 50910, 50474, 50798, 53434, 50841, 51540, 50798, 53434, 50883, 50927, 51184, 55057, 50841, 58518, 55119, 51007, 50844, 50848, 58651, 50437, 59416, 50872, 54123, 50843, 69263, 51445, 51007, 64827, 51083, 50952, 51061, 51033, 51955, 51695, 50895, 51282, 50830, 52978, 62237, 51692, 50461, 54148, 50910, 50462, 50843, 50820, 50472, 52798, 50859, 50474, 50798, 53434, 50841, 58992, 51540, 50798, 53434, 50883, 50927, 51029, 50848, 53380, 50425, 55904, 50850, 53220, 71970, 51007, 78555, 67907, 50436, 68100, 55119, 50437, 51007, 52691, 50843, 50839, 73182, 67103, 50449, 50953, 51029, 74356, 50976, 56930, 50976, 51955, 51695, 50895, 51595, 50878, 51083, 50830, 50935, 51422, 50451, 51020, 50942, 50462, 50843, 50820, 50474, 50798, 53434, 50841, 63615, 50485, 50927, 51300, 51540, 50798, 53434, 65003, 52431, 55057, 50841, 55853, 55904, 50872, 51381, 51007, 61868, 59416, 61395, 51007, 50942, 57315, 50839, 55952, 75898, 50449, 50953, 51029, 51595, 50925, 51020, 50830, 51083, 50840, 51955, 51695, 50895, 74356, 50976, 56930, 50976, 74086, 50462, 50843, 50820, 50473, 57416, 50474, 50798, 53434, 50841, 51540, 50798, 53434, 50883, 51019, 51795, 52255, 51677, 50425, 50992, 51051, 55057, 69149, 50851, 58570, 50868, 52256, 50437, 50992, 50959, 50868, 51790, 50935, 55467, 50843, 77444, 51939, 50447, 52187, 51692, 51955, 51695, 50895, 52159, 50859, 51595, 59494, 50830, 50935, 51749, 50462, 50843, 50820, 50473, 66862, 50474, 50798, 53434, 50841, 50483, 51711, 51518, 50485, 51069, 51352, 51540, 50798, 53434, 62518, 50885, 52919, 55057, 50841, 56105, 58489, 50427, 50868, 63123, 50850, 57609, 50822, 58489, 50868, 52222, 57315, 54525, 52225, 51692, 50449, 50850, 51358, 51955, 51695, 50895, 51089, 50921, 51118, 72625, 50800, 50462, 50843, 50820, 50473, 66862, 50474, 50798, 53434, 50841, 51540, 50798, 53434, 50883, 51069, 51352, 52033, 52122, 51656, 52337, 50946, 51191, 55057, 65734, 51313, 57315, 65289, 51677, 50449, 51089, 50924, 51282, 74428, 50859, 51955, 51695, 50895, 50462, 50843, 50820, 50474, 50798, 53434, 50841, 51019, 50975, 50485, 51069, 51795, 50946, 51446, 51540, 50798, 53434, 62518, 55119, 57409, 50885, 51313, 55057, 58694, 66940, 58570, 50909, 52691, 50843, 65289, 51803, 50448, 52255, 52151, 50449, 51118, 50952, 51089, 50859, 52187, 51939, 51955, 51695, 50895, 51282, 56709, 51447, 50462, 50843, 50820, 50472, 66862, 50474, 50798, 53434, 50841, 50483, 51711, 53082, 50485, 51069, 51184, 51656, 52337, 50946, 51134, 51540, 50798, 53434, 53087, 50843, 65734, 51449, 55119, 57553, 67577, 57892, 50868, 56180, 50843, 57927, 50850, 62427, 51742, 71872, 51955, 51695, 50895, 51118, 50830, 51282, 68094, 60354, 51318, 50462, 50843, 50820, 50473, 63167, 50474, 50798, 53434, 50841, 50485, 51838, 51939, 51540, 50798, 53434, 50883, 50927, 52442, 50425, 50848, 58651, 56992, 55878, 51007, 52654, 50843, 58694, 56684, 58126, 50872, 51445, 51007, 50942, 57315, 58560, 51083, 50952, 51061, 51033, 51282, 61709, 51692, 51955, 51695, 50895, 51743, 55392, 50462, 50843, 50820, 50474, 50798, 53434, 50841, 55952, 50485, 50927, 51352, 50848, 53380, 51540, 50798, 53434, 50883, 51711, 51422, 55057, 50841, 58518, 50850, 55029, 51381, 50427, 51007, 53945, 50843, 69263, 51400, 50850, 68744, 50854, 67103, 51955, 51695, 50895, 50953, 51300, 51595, 50878, 51083, 60732, 50942, 52187, 51939, 51615, 51939, 50935, 51422, 50462, 50843, 50820, 50474, 50798, 53434, 50841, 50476, 63615, 50483, 51743, 51939, 51656, 51662, 50485, 50927, 51300, 51540, 50798, 53434, 65003, 52431, 55057, 50841, 56401, 50427, 50872, 51391, 50850, 70175, 61573, 67071, 57315, 57927, 73182, 57896, 50850, 51157, 51007, 67973, 52187, 51662, 51615, 51677, 50449, 50953, 51300, 51595, 50925, 51020, 50830, 51083, 59708, 51318, 51955, 51695, 50895, 50462, 50843, 50820, 50474, 50798, 53434, 50841, 63615, 50483, 51838, 52644, 50484, 52187, 52644, 50485, 51019, 51352, 51540, 50798, 53434, 53087, 71970, 62940, 50992, 58975, 69772, 51134, 50437, 50992, 54123, 50843, 77444, 51591, 50935, 56288, 51790, 50449, 52159, 50859, 51595, 59494, 50830, 50935, 51749, 51955, 51695, 58418, 51019, 51029, 50462, 50843, 50820, 50474, 50798, 53434, 50841, 51205, 50976, 50484, 51656, 53487, 50485, 51069, 51352, 52033, 52826, 51540, 50798, 53434, 50883, 57195, 64510, 60647, 51220, 50865, 50424, 50885, 52919, 51694, 55630, 50841, 57195, 52014, 50325, 50910, 50427, 57409, 62308, 50909, 62169, 51220, 52309, 66757, 50987, 50437, 50868, 59983, 50816, 53944, 50839, 57195, 50977, 50868, 51945, 50850, 60940, 66340, 50948, 50442, 66757, 53969, 51220, 50911, 50449, 51019, 51300, 51089, 50921, 59941, 51101, 50850, 51358, 51062, 51167, 51899, 54119, 50895, 51118, 72625, 50800, 50462, 50816, 52141, 50820, 59941, 50897, 51062, 50893, 50468, 61462, 51588, 50330, 50917, 50474, 50798, 53754 ]
[ 0, 250, 765, 5175, 3495, 2214, 19, 10, 2933, 648, 1372, 16464, 6, 4246, 3459, 8, 81, 9756, 29589, 7513, 30, 41, 3459, 9590, 4, 85, 18, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 20902, 12701, 4450, 20889, 9, 10572, 13410, 228, 2289, 6, 22690, 10, 33215, 16739, 9, 272, 119, 1176, 406, 6, 230, 406, 6, 274, 406, 73, 250, 6, 163, 43531, 406, 428, 245, 6, 8, 83, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 67004, 50426, 50637, 50461, 53046, 50807, 51912, 51048, 50799, 51593, 56082, 51366, 51048, 51209, 51056, 50964, 51072, 50425, 53046, 50943, 51912, 68106, 51366, 51056, 51209, 51056, 69871, 50437, 54223, 50943, 51451, 67272, 51547, 51056, 51229, 51056, 51105, 51072, 50449, 54223, 50943, 51451, 70147, 51547, 51056, 51229, 51056, 50964, 51072, 50461, 52468, 50943, 51451, 51056, 76308, 51056, 51674, 51056, 50927, 51072, 50425, 52468, 50943, 51451, 68106, 51256, 51056, 51674, 51056, 50945, 51072, 50437, 54223, 50943, 51451, 67272, 52856, 51566, 51209, 51056, 51590, 51056, 51105, 51072, 50449, 54223, 50943, 51451, 70147, 51323, 51566, 51209, 51056, 51590, 51056, 50945, 51072, 50461, 52468, 50943, 53008, 51056, 51451, 51056, 50799, 51839, 52017, 51209, 51056, 51408, 51056, 50927, 51072, 50425, 52468, 50943, 53008, 51056, 51451, 68106, 51209, 51056, 51408, 51056, 51096, 51072, 50437, 54223, 50943, 51917, 67272, 51256, 51056, 51229, 51056, 51105, 51072, 50449, 54223, 50943, 51917, 70147, 51256, 51056, 51229, 51056, 51228, 51072, 50461, 52468, 50943, 51451, 51056, 50799, 51593, 51551, 51547, 51056, 51674, 51056, 50927, 51072, 50425, 52468, 50943, 51451, 68106, 51547, 51056, 51674, 51056, 50964, 51072, 50437, 55655, 50943, 51912, 51056, 51256, 67272, 51746, 51551, 51590, 51056, 51924, 51056, 51228, 51072, 50449, 55655, 50943, 51912, 51056, 51256, 70147, 51590, 51056, 51924, 51056, 51205, 51072, 50461, 53046, 50943, 51912, 51056, 77532, 53601, 51366, 51056, 51209, 51056, 50964, 51072, 50425, 53046, 50943, 51912, 68106, 51366, 51056, 51209, 51056, 50927, 51072, 50437, 51830, 50943, 51366, 51056, 51209, 67272, 51590, 51056, 51924, 51056, 51019, 51072, 50449, 51830, 50943, 51366, 51056, 51209, 70147, 51590, 51056, 51924, 51056, 51205, 51072, 50461, 52733, 50943, 51451, 51056, 69853, 51056, 51590, 51056, 51069, 51072, 50425, 52733, 50943, 51451, 68106, 51209, 51056, 51590, 51056, 51205, 51072, 50437, 52812, 50943, 51772, 67272, 51229, 51056, 51334, 51056, 50964, 51072, 50449, 52812, 50943, 51772, 70147, 51229, 51056, 51334, 51056, 51105, 51072, 50461, 52286, 50943, 51322, 51056, 50799, 51593, 56082, 51674, 51056, 51334, 51056, 50945, 51072, 50425, 52286, 50943, 51322, 68106, 51674, 51056, 51334, 51056, 50927, 51072, 50437, 51830, 50943, 51772, 67272, 51229, 51056, 51934, 51056, 51105, 51072, 50449, 51830, 50943, 51772, 70147, 51229, 51056, 51934, 51056, 69871, 50461, 53008, 50943, 51547, 51056, 79479, 51056, 51924, 51056, 51325, 51072, 50425, 53008, 50943, 51547, 68106, 51334, 51056, 51924, 51056, 52053, 51072, 50437, 51917, 50943, 51256, 67272, 51770, 51566, 51590, 51056, 51924, 51056, 52022, 51072, 50449, 51917, 50943, 51256, 70147, 52106, 51566, 51590, 51056, 51924, 51056, 51415, 51072, 50461, 51451, 50943, 51209, 51056, 50799, 51770, 53601, 51590, 51056, 51924, 51056, 51133, 51072, 50425, 51451, 50943, 51209, 68106, 51590, 51056, 51924, 51056, 69871, 50437, 51322, 50943, 51229, 67272, 51334, 51056, 51893, 51056, 51133, 51072, 50449, 51322, 50943, 51229, 70147, 51334, 51056, 51893, 51056, 51720, 51072, 50461, 51366, 50943, 51590, 51056, 50799, 51390, 51056, 52004, 51056, 51817, 51072, 50425, 51366, 50943, 51590, 68106, 51390, 51056, 52004, 51056, 51415, 51072, 50437, 51664, 50943, 51209, 67272, 51334, 51056, 51924, 51056, 51011, 51072, 50449, 51664, 50943, 51209, 70147, 51334, 51056, 51924, 51056, 69871, 50461, 51664, 50943, 51256, 51056, 50799, 52106, 53601, 51334, 51056, 51924, 51056, 51011, 51072, 50425, 51664, 50943, 51256, 68106, 51334, 51056, 51924, 51056, 50927, 51072, 50437, 53008, 50943, 51256, 67272, 51590, 51056, 51924, 51056, 51228, 51072, 50449, 53008, 50943, 51256, 70147, 51590, 51056, 51924, 51056, 50945, 51072, 50461, 51830, 50943, 51256, 51056, 50799, 51229, 51056, 51934, 51056, 69871, 50425, 51830, 50943, 51256, 68106, 51229, 51056, 51934, 51056, 50945, 51072, 50437, 51830, 50943, 51256, 67272, 51590, 51056, 52031, 51056, 51105, 51072, 50449, 51830, 50943, 51256, 70147, 51590, 51056, 52031, 51056, 51415, 51072, 50461, 51451, 50943, 51209, 51056, 50799, 51940, 53601, 51590, 51056, 51924, 51056, 51133, 51072, 50425, 51451, 50943, 51209, 68106, 51590, 51056, 51924, 51056, 51415, 51072, 50437, 51451, 50943, 51366, 67272, 51229, 51056, 51924, 51056, 51011, 51072, 50449, 51451, 50943, 51366, 70147, 51229, 51056, 51924, 51056, 51133, 51072, 50461, 51912, 50943, 51256, 51056, 50799, 51229, 51056, 51390, 51056, 51415, 51072, 50425, 51912, 50943, 51256, 68106, 51229, 51056, 51390, 51056, 51271, 51072, 50437, 52733, 50943, 51322, 51056, 51674, 67272, 51334, 51056, 51893, 51056, 51817, 51072, 50449, 52733, 50943, 51322, 51056, 51674, 70147, 51334, 51056, 51893, 51056, 51720, 51072, 50461, 51664, 50943, 51366, 51056, 51209, 51056, 50799, 53772, 53601, 51334, 51056, 51924, 51056, 51011, 51072, 50425, 51664, 50943, 51366, 51056, 51209, 68106, 51334, 51056, 51924, 51056, 69871, 50437, 52000, 50943, 51322, 67272, 51209, 51056, 51390, 51056, 50945, 51072, 50449, 52000, 50943, 51322, 70147, 51209, 51056, 51390, 51056, 69871, 50461, 51912, 50943, 51256, 51056, 50799, 51674, 51056, 51390, 51056, 51415, 51072, 50425, 51912, 50943, 51256, 68106, 51674, 51056, 51390, 51056, 51325, 51072, 50437, 51912, 50943, 51256, 67272, 51229, 51056, 51390, 51056, 51011, 51072, 50449, 51912, 50943, 51256, 70147, 51229, 51056, 51390, 51056, 51415, 51072, 50461, 52000, 50943, 51256, 51056, 50799, 52150, 52017, 51229, 51056, 51390, 51056, 51186, 51072, 50425, 52000, 50943, 51256, 68106, 51229, 51056, 51390, 51056, 50945, 51072, 50437, 51664, 50943, 51322, 51056, 51229, 67272, 51334, 51056, 53076, 51056, 51011, 51072, 50449, 51664, 50943, 51322, 51056, 51229, 70147, 51334, 51056, 53076, 51056, 51213, 51072, 50461, 51322, 50943, 51674, 51056, 50799, 53824, 52017, 51590, 51056, 51893, 51056, 50945, 51072, 50425, 51322, 50943, 51674, 68106, 51590, 51056, 51893, 51056, 69871, 50437, 51322, 50943, 51209, 67272, 51408, 51056, 51924, 51056, 51019, 51072, 50449, 51322, 50943, 51209, 70147, 51408, 51056, 51924, 51056, 50927, 51072, 50461, 51917, 50943, 51209, 51056, 50799, 51940, 52017, 51229, 51056, 51924, 51056, 51228, 51072, 50425, 51917, 50943, 51209, 68106, 51229, 51056, 51924, 51056, 51019, 51072, 50437, 51451, 50943, 51256, 67272, 51229, 51056, 52031, 51056, 50964, 51072, 50449, 51451, 50943, 51256, 70147, 51229, 51056, 52031, 51056, 51069, 51072, 50461, 52286, 50943, 51322, 51056, 51256, 51056, 50799, 52106, 52017, 51408, 51056, 51390, 51056, 51096, 51072, 50425, 52286, 50943, 51322, 51056, 51256, 68106, 51408, 51056, 51390, 51056, 50964, 51072, 50437, 52468, 50943, 51664, 50943, 51322, 67272, 51256, 51056, 51229, 51056, 51390, 51056, 50927, 51072, 50449, 52468, 50943, 51664, 50943, 51322, 70147, 51256, 51056, 51229, 51056, 51390, 51056, 51019, 51072, 50461, 54223, 51359, 52000, 51359, 51772, 51359, 50799, 51940, 52017, 51209, 51359, 51408, 51359, 52031, 51359, 51105, 51184, 50461, 52733, 50943, 51322, 51056, 76676, 52017, 51547, 51056, 51229, 51056, 51019, 51072, 50425, 52733, 50943, 51322, 68106, 51547, 51056, 51229, 51056, 51213, 51072, 50437, 52468, 50943, 51912, 67272, 51547, 51056, 51674, 51056, 50927, 51072, 50449, 52468, 50943, 51912, 70147, 51547, 51056, 51674 ]
[ 0, 713, 765, 5175, 2214, 6, 30291, 19, 10, 25306, 14981, 6, 16, 10, 20902, 15229, 278, 11, 272, 538, 4, 85, 1575, 10, 11577, 11739, 9, 38668, 18569, 6, 6755, 12547, 6, 13305, 6, 32909, 6, 8, 15352, 30054, 7, 4339, 4, 590, 10, 1769, 20889, 9, 19641, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 10, 15352, 30054, 8, 20425, 2125, 14, 7630, 6568, 10, 1472, 9, 980, 8, 11098, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 56431, 50897, 66726, 58728, 50798, 51423, 51711, 51801, 50700, 50347, 52096, 53667, 53520, 50420, 53956, 55640, 53136, 57066, 54173, 57277, 59983, 53136, 65114, 53956, 50897, 50768, 50284, 55345, 56431, 51162, 51528, 51423, 50420, 53956, 55640, 53136, 57066, 54173, 57277, 59983, 53136, 58937, 53956, 50897, 50768, 50283, 58271, 56431, 50897, 50745, 50275, 51333, 58177, 50925, 55774, 53312, 53956, 50897, 50768, 50283, 66376, 54307, 51801, 50799, 56431, 50897, 50745, 50273, 58728, 50798, 51423, 55123, 53520, 50420, 53956, 55640, 53136, 57066, 54173, 57277, 59983, 53136, 65114, 53956, 50897, 50768, 50280, 58298, 56431, 51162, 51528, 51423, 50420, 53956, 55640, 53807, 57066, 53775, 57277, 59983, 53807, 58937, 53775, 50897, 50768, 50283, 57012, 50768, 50283, 54208, 54173, 50897, 50745, 50275, 51333, 50768, 50284, 51689, 50275, 53312, 53136, 50897, 50799, 56431, 50897, 66726, 58728, 50798, 51423, 55815, 51801, 53667, 53520, 50420, 53956, 55640, 53136, 57066, 54173, 57277, 59983, 53136, 65114, 53956, 50897, 50768, 50284, 55345, 56431, 51162, 51528, 51423, 50420, 53956, 55640, 53136, 57066, 54173, 57277, 59983, 53136, 58937, 53956, 50897, 50768, 50283, 58271, 56431, 50897, 50745, 50275, 51333, 58177, 50925, 55774, 53312, 53956, 50897, 50768, 50283, 50925, 50457, 54307, 51801, 50799, 56431, 50897, 50745, 50273, 58728, 50798, 51423, 55123, 53520, 50420, 53956, 55640, 53136, 57066, 54173, 57277, 59983, 53136, 65114, 53956, 50897, 50768, 50280, 58298, 56431, 51162, 51528, 51423, 50420, 53956, 55640, 53807, 57066, 53775, 57277, 59983, 53807, 58937, 53775, 50897, 50768, 50283, 58271, 54173, 50897, 58177, 58298, 53136, 50897, 51304, 50874, 50768, 50283, 66376, 51733, 50874, 50799, 53091, 51191, 54173, 51189, 50745, 50280, 52136, 51926, 51477, 57317, 51343, 61477, 57394, 51423, 51607, 51419, 50432, 55837, 51591, 54173, 51591, 50745, 50280, 51490, 51926, 52015, 57317, 51977, 61477, 76270, 51008, 51808, 51803, 50444, 50768, 50320, 54230, 50768, 50320, 55345, 50768, 50320, 50873, 50799, 53956, 51191, 54173, 51189, 50745, 50280, 52136, 51926, 51477, 57317, 51343, 61477, 57394, 51423, 51440, 51419, 50432, 55521, 51591, 53136, 51591, 50745, 50280, 51490, 51926, 52015, 53954, 51977, 61477, 61113, 51008, 51929, 51803, 50444, 73348, 58332, 50768, 50317, 59631, 51304, 50874, 50768, 50317, 67419, 51733, 50874, 50799, 53091, 51191, 54173, 51189, 50745, 50280, 52136, 51926, 51477, 57317, 51343, 61477, 57394, 51423, 51607, 51419, 50432, 55837, 51591, 54173, 51591, 50745, 50280, 51490, 51926, 52015, 57317, 51977, 61477, 76270, 51008, 51808, 51803, 50444, 50768, 50320, 54230, 51304, 50974, 50768, 50320, 55345, 51384, 50974, 50768, 50320, 56517, 50768, 50320, 50844, 50799, 53956, 50849, 54173, 50849, 50745, 50273, 51074, 51733, 50974, 57317, 54187, 51423, 51440, 54335, 54240, 51486, 53136, 51486, 50745, 50275, 52528, 51384, 51939, 53954, 51941, 50798, 51423, 51206, 52482, 51434, 51662, 64996, 58732, 51365, 50856, 51210, 50768, 50317, 51142, 51669, 68582, 51509, 58732, 51365, 50856, 51210, 50768, 50317, 51142, 51669, 57818, 51509, 58732, 51365, 50856, 51210, 50768, 50317, 51142, 51669, 60675, 51509, 58732, 51365, 50856, 51210, 50768, 50317, 51142, 51669, 58450, 51509, 58732, 51365, 50856, 51210, 50768, 50317, 51142, 51669, 63280, 51509, 58732, 51365, 50856, 51210, 50768, 50317, 51142, 51669, 58248, 51509, 58768, 51365, 50856, 51210, 50768, 50316, 51142, 51669, 61898, 51509, 58768, 51365, 50856, 51210, 61345, 51142, 51669, 50959, 50799, 50745, 50280, 51333, 51093, 51244, 51744, 65506, 61509, 51142, 51607, 51148, 52206, 50807, 51039, 64078, 50745, 50280, 63819, 51423, 50804, 61509, 51142, 52206, 51736, 50745, 50280, 59074, 51142, 52206, 51646, 50745, 50280, 51074, 51357, 51477, 52298, 58732, 61509, 51142, 51614, 50959, 52206, 51918, 50745, 50280, 51333, 51485, 60397, 51142, 51515, 51337, 52206, 52728, 50798, 51423, 50804, 61509, 72492, 50745, 50280, 51333, 51093, 52015, 51431, 51356, 50852, 51142, 51660, 51148, 52206, 50807, 51528, 61509, 70304, 50745, 50280, 59074, 51142, 52206, 51631, 50745, 50280, 63819, 51423, 50804, 61509, 51142, 52206, 51736, 50745, 50280, 59074, 51142, 52206, 51646, 50745, 50280, 51074, 51357, 51477, 51509, 58732, 61509, 51142, 51669, 50959, 52206, 51918, 50745, 50280, 51333, 51509, 60397, 51142, 51669, 51337, 52206, 52728, 50798, 51423, 50804, 61509, 72492, 50745, 50280, 51333, 51093, 51097, 51744, 55637, 51142, 51607, 51911, 50280, 50807, 51528, 61509, 70304, 50745, 50280, 51074, 51357, 50974, 51485, 53734, 51142, 51808, 51644, 50280, 51631, 50745, 50280, 51074, 51093, 50974, 51744, 54581, 61509, 51142, 51607, 51644, 50280, 51736, 50745, 50280, 51074, 51357, 50974, 51485, 53734, 51142, 51808, 51644, 50280, 51646, 66726, 51333, 51093, 51244, 51431, 72649, 61509, 51142, 51440, 51148, 53667, 53218, 50852, 65743, 66726, 51074, 52067, 61738, 61509, 51142, 53667, 51923, 66726, 73775, 51142, 53667, 50795, 50799, 50745, 50282, 52256, 51107, 51244, 51485, 66196, 61509, 51142, 51440, 51419, 51799, 51091, 51039, 51142, 52389, 51423, 50804, 61509, 66591, 50745, 50282, 59074, 51142, 51799, 51646, 50745, 50287, 52059, 51357, 51477, 51509, 58732, 61509, 51142, 51669, 50959, 51214, 60482, 50745, 50287, 51074, 51509, 60397, 51142, 51669, 51337, 51214, 50967, 57613, 51423, 50804, 65628, 50745, 50280, 51333, 51093, 52015, 51744, 51977, 50804, 50886, 52820, 50840, 51607, 51148, 52206, 50807, 52198, 50886, 52820, 50840, 51528, 61509, 51142, 52560, 54507, 50745, 50280, 59074, 51142, 52206, 51631, 50745, 50280, 63819, 51423, 50804, 61509, 51142, 52206, 51736, 50745, 50280, 59074, 51142, 52206, 51646, 50745, 50280, 51074, 51357, 51477, 52298, 58732, 61509, 51142, 51614, 50959, 52206, 51918, 50745, 50280, 51333, 51485, 60397, 51142, 51515, 51337, 52206, 52728, 50798, 51423, 50804, 61509, 72492, 50745, 50280, 51333, 51093, 52015, 51431, 69512, 51142, 51660, 51148, 52206, 50807, 51528, 61509, 70304, 50745, 50280, 51210, 50791, 51142, 52206, 53244, 50745, 50280, 63819, 51423, 50804, 61509, 51142, 52206, 51736, 50745, 50280, 59074, 51142, 52206, 51646, 50745, 50280, 51074, 51357, 51477, 51509, 58732, 61509, 51142, 51669, 50959, 52206, 51918, 50745, 50280, 51333, 51509, 60397, 51142, 51669, 51337, 52206, 52728, 50798, 51423, 50804, 61509, 72492, 50745, 50280, 52136, 51093, 51097, 51744, 55637, 51142, 51607, 51911, 50280, 50983, 51528, 61509, 70304, 50745, 50280, 51074, 51357, 50974, 51485, 53734, 51142, 51808, 51644, 50280, 51631, 50745, 50280, 51074, 51093, 50974, 51744, 54187, 51423, 50804, 61509, 51142, 51607, 51644, 50280, 51736, 50745, 50280, 51074, 51357, 50974, 51485, 53734, 51142, 51808, 51644, 50280, 51646, 66726, 51333, 51093, 51244, 51431, 72649, 61509, 51142, 51440, 51148, 53667, 50807, 51180, 65743, 66726, 51074, 52067, 72649, 51423, 50804, 61509, 51142, 53667, 51923, 66726, 59074, 51142, 53667, 50795, 50799, 50745, 50285, 51490, 51107, 51244, 51485, 65506, 61509, 51142, 51440, 51535, 51247, 50918, 51039, 51142, 52389, 51423, 50804, 61509, 51142, 51361, 64147, 50745, 50284, 51490, 51488, 51244, 51744, 66196, 61509, 51142, 51440, 51535, 51841, 50918, 51180, 51142, 57613, 51423, 50804, 61509, 51142, 51453, 51142, 50799, 50745, 50282, 52256, 51107, 51477 ]
[ 0, 250, 8787, 5175, 15229, 14, 7630, 6568, 10, 1472, 9, 23975, 1825, 8, 15073, 6, 4246, 10, 38668, 483, 6, 6755, 12547, 6, 13305, 6, 21072, 6, 8, 1855, 4822, 254, 483, 4, 20, 2125, 16, 278, 11, 274, 3694, 19, 10, 7212, 20889, 9, 11061, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 15352, 30054, 8, 3366, 219, 5466, 19, 10, 16331, 33215, 16739, 9, 274, 119, 6, 230, 10431, 6, 8, 2060, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50799, 56742, 51748, 52696, 61164, 54685, 54373, 53355, 52829, 50799, 53512, 51922, 50450, 52117, 51333, 50799, 53190, 51671, 54205, 58728, 50799, 53015, 51748, 50438, 55794, 51447, 57755, 51447, 50450, 53512, 51466, 50799, 56742, 51447, 52696, 51748, 60100, 51671, 55537, 51748, 50438, 53512, 60779, 54205, 52378, 50799, 54205, 51490, 53015, 51671, 57755, 51671, 55794, 51671, 50438, 54097, 51490, 50799, 53015, 51748, 54205, 52829, 53355, 52204, 54685, 52204, 50799, 53190, 52335, 50799, 56742, 51748, 52696, 61164, 54685, 54373, 53355, 52829, 52365, 55105, 52365, 53868, 53257, 50862, 50799, 53512, 51922, 52365, 55105, 52365, 56037, 53257, 54883, 53257, 53860, 52365, 54385, 52117, 51333, 50799, 54205, 56515, 53190, 55844, 52365, 55105, 52365, 53868, 53257, 50862, 50799, 52365, 55105, 52365, 56037, 53257, 52928, 53015, 53957, 53512, 52011, 50429, 53257, 53860, 52365, 54123, 52696, 51466, 56742, 51330, 55794, 51447, 57755, 51447, 50450, 54133, 52011, 57390, 51330, 50799, 54097, 51703, 58428, 51703, 60100, 51671, 55537, 51748, 52365, 55105, 52365, 53868, 53257, 53894, 54133, 52263, 57390, 52263, 50799, 54133, 51490, 57390, 51447, 57755, 51671, 55794, 51671, 52365, 55105, 52365, 56037, 53257, 54883, 53257, 53860, 52365, 54123, 52696, 51738, 56742, 60779, 53015, 53697, 53512, 52056, 60928, 53176, 60928, 51051, 50799, 53015, 51922, 52696, 53201, 54205, 53201, 53355, 52204, 54685, 52204, 60928, 51008, 52365, 55105, 60928, 50955, 52365, 53868, 53257, 53901, 60928, 59780, 60928, 55467, 60928, 62063, 60928, 52843, 60928, 54900, 60928, 50959, 50799, 53190, 51748, 60928, 55095, 50596, 55105, 60928, 53701, 50596, 56037, 53257, 52928, 60928, 71707, 53257, 53860, 60928, 53701, 50596, 54123, 60928, 54478, 60928, 60333, 60928, 55162, 60928, 51123, 50799, 57117, 51449, 52557, 51449, 51773, 51314, 52361, 51080, 53190, 54557, 52479, 52212, 52276, 55597, 60928, 55869, 55636, 50942, 60928, 50851, 55169, 58798, 55636, 50854, 60928, 51123, 55169, 52749, 55636, 50901, 60928, 50912, 55169, 55306, 51929, 51878, 51607, 51965, 53283, 51400, 52117, 51748, 53112, 51748, 60928, 50912, 53165, 51400, 50444, 60928, 71940, 53283, 50942, 60928, 61450, 53165, 59631, 53283, 50854, 53165, 50810, 75235, 51244, 52027, 52263, 51607, 51314, 53283, 50901, 60928, 55084, 53165, 57437, 53787, 50901, 55348, 53172, 59059, 50901, 58225, 54777, 53787, 51790, 55348, 51675, 50438, 52557, 52168, 52435, 51703, 51773, 51878, 54427, 54171, 52479, 51449, 50799, 57117, 55116, 51515, 58940, 52361, 51749, 50426, 55636, 50854, 55169, 52749, 55636, 51177, 55169, 74387, 52027, 51447, 51607, 51080, 53283, 51400, 52117, 52988, 53292, 55392, 53112, 52720, 53165, 57554, 53283, 50854, 53165, 53920, 53283, 50854, 53165, 50833, 50799, 54632, 52062, 51774, 52062, 51929, 52335, 53283, 50901, 53165, 55689, 53787, 50901, 55348, 53172, 59059, 50901, 58225, 53387, 53787, 51183, 55348, 64345, 52479, 55174, 50456, 55594, 50977, 55907, 50866, 50799, 56194, 52062, 52435, 53142, 52027, 52335, 51773, 52335, 61279, 50901, 54427, 51748, 62513, 54644, 67753, 51692, 60239, 51486, 50799, 54632, 52335, 52027, 54171, 51929, 52335, 51773, 53142, 61279, 51003, 53112, 51314, 52648, 51447, 62513, 55973, 67753, 51003, 60239, 53912, 61279, 51003, 53292, 51447, 52117, 51447, 62513, 56508, 67753, 51003, 60239, 50914, 76759, 51243, 51515, 51671, 51929, 51243, 51773, 52062, 58417, 51003, 52479, 51671, 54427, 51748, 58425, 55973, 62191, 53651, 60151, 53259, 76759, 52335, 52027, 53142, 51929, 52335, 51607, 52062, 53292, 56599, 53112, 55490, 52648, 54171, 50432, 70683, 57008, 53894, 50816, 50890, 57040, 61190, 50816, 50813, 51899, 50904, 64119, 51365, 56875, 50982, 50799, 57117, 51449, 52557, 51449, 51773, 51314, 52361, 51080, 53190, 54557, 52479, 52212, 52479, 52431, 52276, 55597, 60928, 50912, 51165, 52916, 50420, 55636, 50854, 60928, 50851, 55169, 52710, 55636, 50854, 60928, 51123, 55169, 52749, 55636, 50901, 60928, 50912, 55169, 52446, 51929, 51878, 51607, 51965, 53283, 51255, 52117, 51748, 53112, 51748, 60928, 50912, 53165, 78373, 60928, 71940, 53283, 51255, 52117, 51314, 60928, 61450, 51093, 51703, 53165, 51124, 75235, 51244, 52027, 52263, 51607, 51314, 53283, 50901, 60928, 55084, 53165, 55099, 53787, 50977, 55348, 54278, 59059, 50901, 53190, 50932, 51488, 51333, 58225, 54777, 53787, 51790, 55348, 51790, 50438, 52557, 52168, 52435, 51703, 51773, 51878, 53015, 51314, 54427, 54171, 52479, 51449, 51395, 51490, 50799, 57117, 55116, 51515, 58940, 52361, 51749, 52479, 52528, 51165, 54573, 50420, 55636, 50854, 55169, 53049, 55636, 50854, 55169, 52749, 55636, 50901, 55169, 52446, 52027, 51447, 51607, 51080, 53283, 51400, 52117, 52988, 53292, 55392, 53112, 52720, 53165, 51377, 50450, 53283, 51400, 52117, 51108, 51093, 51466, 53165, 51377, 50799, 54632, 52062, 51774, 52062, 51929, 52335, 53283, 50901, 53190, 50932, 51488, 51330, 53165, 57437, 53787, 50901, 55348, 55035, 59059, 50901, 52117, 70491, 51333, 58225, 54777, 53787, 51183, 55348, 64345, 53190, 51097, 52479, 55174, 51488, 58959, 53015, 50932, 50773, 50317, 52829, 51395, 73786, 55594, 50901, 55907, 50873, 50799, 56194, 52062, 52435, 53142, 52027, 52335, 51773, 52335, 61279, 50901, 54133, 51080, 54427, 51748, 51600, 51490, 62513, 57437, 67753, 52069, 60239, 52069, 50438, 52696, 51080, 51201, 51447, 50799, 54632, 52335, 52027, 54171, 51929, 52335, 51773, 53142, 61279, 51003, 53112, 51314, 52648, 51447, 53015, 51445, 51395, 51671, 62513, 55973, 67753, 51003, 60239, 55965, 61279, 51003, 53292, 51447, 52117, 51447, 62513, 55082, 67753, 51003, 60239, 50943, 76759, 51243, 51515, 51671, 51929, 51243, 51773, 52062, 58417, 51003, 52117, 51447, 52479, 51671, 54427, 51748, 51093, 51703, 58425, 55973, 62191, 53454, 60151, 52903, 50438, 53190, 51080, 51488, 51447, 76759, 52335, 52027, 53142, 51929, 52335, 51607, 52062, 53292, 56599, 53112, 55490, 52648, 54171, 52479, 51449, 51165, 51922, 50432, 50816, 50962, 57008, 54431, 50816, 50880, 57040, 59787, 50816, 50855, 51899, 62564, 50816, 51210, 56875, 50908, 53596, 51397, 51515, 52431, 51773, 52431, 52361, 52140, 53787, 51692, 54427, 53142, 52479, 53142, 52276, 51748, 50798, 51362, 51206, 51363, 51769, 51363, 51383, 73601, 50813, 51394, 54573, 55348, 51422, 66817, 50374, 54502, 54316, 53257, 50855, 56957, 58016, 54317, 63702, 50867, 58354, 50829, 60261, 53831, 51661, 50832, 57527, 57050, 63702, 50904, 58354, 50863, 60261, 50837, 56096, 53031, 63702, 50886, 58354, 50825, 60261, 55234, 52273, 50870, 57336, 53018, 51096, 51477, 63702, 51079, 58354, 51079, 60261, 61176, 50886, 52129, 51173, 50832, 56124, 56518, 63702, 51862, 58354, 52059, 60261, 51642, 57730, 56124, 54105, 51515, 51534, 51773, 51645, 52361, 51645, 53787, 55742, 61175, 64491, 50379, 60084, 50933, 51304, 52025, 55348, 58229, 53283, 50854, 53165, 50854, 56584, 53555, 50945, 50974, 53787, 54748, 50904, 55348, 54678, 59059, 50854, 58225, 50854, 53870, 52015, 51944, 52335, 51773, 52062, 52361, 52062, 53787, 51692, 53714, 53142, 52479, 53142, 54427, 52062, 50798, 51362, 51383, 73601, 50813, 51905, 52727, 55348, 51422, 66817, 50374, 54502, 56133, 53257, 50820, 56957, 58016, 54317, 69851, 50867, 58354, 50864, 60261, 56061, 51661, 50832, 57527, 57050, 69851, 50837, 58354, 50864, 60261, 50373 ]
[ 0, 250, 32076, 8, 15352, 30054, 1619, 13134, 2214, 4246, 10, 11577, 12547, 9, 17691, 28430, 6, 32909, 6, 2724, 368, 31365, 25999, 6, 2342, 4467, 6, 8, 13305, 6, 70, 8216, 7, 5, 12298, 5466, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 20902, 12447, 1001, 20889, 6, 42, 765, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 50456, 51431, 50883, 51784, 50883, 52394, 50883, 51752, 56046, 51723, 50840, 52186, 50840, 53628, 50840, 52315, 50840, 54734, 50940, 55129, 50823, 51898, 50836, 51140, 50940, 52355, 50836, 53880, 50836, 52155, 53351, 69764, 51090, 50832, 58093, 51431, 50840, 51784, 50840, 52394, 50840, 51752, 54507, 50871, 56943, 58363, 50972, 51509, 50887, 51802, 50887, 51978, 50887, 51606, 54898, 53791, 53467, 52067, 50880, 52515, 50880, 52172, 50880, 51686, 53939, 52206, 50910, 60458, 50823, 51431, 50858, 51461, 50910, 51784, 50858, 52394, 50858, 51752, 53393, 53616, 56338, 51509, 50887, 51802, 50887, 51978, 50887, 51606, 54937, 50871, 59023, 58000, 50901, 52067, 50880, 52515, 50880, 52172, 50880, 51686, 55531, 53187, 53307, 52629, 50890, 52857, 50890, 52380, 50890, 51673, 54957, 51247, 50858, 55129, 50950, 52067, 50930, 51140, 50858, 52515, 50930, 52172, 50930, 51686, 54451, 53291, 55489, 50871, 59389, 58000, 50845, 52067, 50962, 52515, 50962, 52172, 50962, 51686, 55714, 51475, 54755, 52206, 50952, 60458, 51045, 52067, 50921, 51461, 50952, 52515, 50921, 52172, 50921, 51686, 50921, 52613, 50954, 52485, 50871, 59389, 56472, 50849, 52067, 50809, 52515, 50809, 52172, 50809, 51686, 52634, 51475, 56249, 52629, 50880, 52857, 50880, 52380, 50880, 51673, 50880, 54734, 50858, 55129, 50803, 52067, 50952, 51140, 50858, 52515, 50952, 52172, 50952, 51686, 50952, 71735, 52628, 50871, 57669, 57253, 50795, 52067, 50890, 52515, 50890, 52172, 50890, 51686, 55960, 51475, 56731, 52629, 50880, 52857, 50880, 52380, 50880, 51673, 60743, 51247, 50862, 51140, 61521, 55129, 52968, 70861, 52067, 50952, 51493, 50800, 52515, 50952, 52172, 50952, 51686, 50952, 71735, 65469, 63513, 52119, 51799, 57722, 59023, 54666, 50879, 52629, 50880, 51273, 50800, 52857, 50880, 52380, 50880, 51673, 55531, 54054, 62725, 61053, 52674, 52629, 50828, 52857, 50828, 52380, 50828, 51673, 53219, 52206, 50940, 60458, 50823, 52629, 50887, 51461, 50940, 52857, 50887, 52380, 50887, 51673, 53579, 53288, 59846, 52336, 50840, 52624, 50840, 52436, 50840, 51827, 54400, 50916, 58263, 56472, 50845, 51579, 50809, 51950, 50809, 51979, 50809, 51565, 52634, 62944, 55888, 51744, 50887, 52285, 50887, 52491, 50887, 51789, 55268, 51214, 51033, 55216, 51045, 51431, 50878, 51098, 51033, 51784, 50878, 52394, 50878, 51752, 50878, 52055, 50996, 54663, 50916, 57094, 56472, 50901, 51431, 50833, 51784, 50833, 52394, 50833, 51752, 55579, 57005, 53793, 52298, 50874, 52824, 50874, 54727, 50874, 52202, 50874, 61628, 50940, 60458, 51045, 51723, 50844, 51461, 50940, 52186, 50844, 53628, 50844, 52315, 53948, 53291, 58486, 51431, 50844, 51784, 50844, 52394, 50844, 51752, 54351, 50916, 57094, 56472, 50845, 51744, 50813, 52285, 50813, 52491, 50813, 51789, 54494, 53288, 53467, 51579, 50836, 51950, 50836, 51979, 50836, 51565, 53425, 51214, 50948, 55216, 51138, 52336, 50858, 51098, 50948, 52624, 50858, 52436, 50858, 51827, 53393, 53696, 59974, 51579, 50840, 51950, 50840, 51979, 50840, 51565, 53810, 50916, 57864, 58681, 50892, 52336, 50821, 52624, 50821, 52436, 50821, 51827, 54301, 54413, 53307, 52629, 50884, 52857, 50884, 52380, 50884, 51673, 53418, 52206, 50977, 60458, 50860, 57317, 50800, 51461, 50977, 57489, 50800, 53625, 50800, 52433, 51730, 53696, 52510, 50916, 57864, 56472, 50845, 57317, 50930, 57489, 50930, 53625, 50930, 52433, 56409, 54413, 52555, 51214, 50800, 55216, 50803, 57317, 50940, 51098, 50800, 57489, 50940, 53625, 50940, 52433, 58732, 52668, 54166, 50916, 57864, 58681, 50892, 53954, 50930, 53993, 50930, 52833, 50930, 51886, 56409, 53288, 57661, 52629, 50855, 52857, 50855, 52380, 50855, 51673, 50855, 61628, 50795, 60458, 51012, 57317, 50910, 51461, 50795, 57489, 50910, 53625, 50910, 52433, 50910, 52615, 50954, 52628, 50916, 55143, 56472, 50901, 53954, 50887, 53993, 50887, 52833, 50887, 51886, 54898, 53288, 57851, 52629, 50836, 52857, 50836, 52380, 50836, 51673, 53425, 51214, 50936, 55216, 50860, 57317, 50821, 51098, 50936, 57489, 50821, 53625, 50821, 52433, 52589, 52668, 52209, 50916, 57348, 58681, 50845, 53954, 50840, 53993, 50840, 52833, 50840, 51886, 53228, 53288, 56486, 52629, 50862, 52857, 50862, 52380, 50862, 51673, 53894, 51247, 50940, 55129, 50823, 53954, 50857, 51140, 50940, 53993, 50857, 52833, 50857, 51886, 52923, 53288, 58040, 52629, 50809, 52857, 50809, 52380, 50809, 51673, 52510, 50871, 57669, 54666, 50805, 52067, 50800, 52515, 50800, 52172, 50800, 51686, 52390, 53288, 58181, 51509, 50880, 51802, 50880, 51978, 50880, 51606, 54411, 52206, 50924, 60458, 50860, 51431, 50917, 51461, 50924, 51784, 50917, 52394, 50917, 51752, 50917, 52723, 50996, 52485, 50871, 57669, 71068, 51431, 50887, 51784, 50887, 52394, 50887, 51752, 54898, 53288, 53793, 51723, 50910, 52186, 50910, 53628, 50910, 52315, 50910, 54734, 50940, 55129, 50823, 51898, 50890, 51140, 50940, 52355, 50890, 53880, 50890, 52155, 53690, 53696, 58093, 51431, 50890, 51784, 50890, 52394, 50890, 51752, 55180, 50871, 56876, 57253, 50805, 51509, 51010, 51802, 51010, 51978, 51010, 51606, 57591, 66886, 55081, 52067, 50858, 52515, 50858, 52172, 50858, 51686, 54149, 52206, 50938, 60458, 50860, 51431, 50836, 51461, 50938, 51784, 50836, 52394, 50836, 51752, 53351, 53288, 57850, 51509, 50890, 51802, 50890, 51978, 50890, 51606, 54334, 50871, 58800, 63837, 50795, 52067, 50887, 52515, 50887, 52172, 50887, 51686, 54898, 66886, 55310, 52629, 50858, 52857, 50858, 52380, 50858, 51673, 54362, 51247, 50830, 55129, 50823, 52067, 50803, 51140, 50830, 52515, 50803, 52172, 50803, 51686, 51520, 53288, 54840, 50871, 58800, 54666, 50805, 52067, 50821, 52515, 50821, 52172, 50821, 51686, 54301, 57897, 55268, 52206, 50938, 60458, 50860, 52067, 51033, 51461, 50938, 52515, 51033, 52172, 51033, 51686, 51033, 71735, 54166, 50871, 57069, 57253, 50849, 52067, 50890, 52515, 50890, 52172, 50890, 51686, 55960, 57897, 53793, 52629, 50821, 52857, 50821, 52380, 50821, 51673, 50821, 54734, 50948, 55129, 50860, 52067, 50940, 51140, 50948, 52515, 50940, 52172, 50940, 51686, 50940, 52615, 50954, 52628, 50871, 57069, 57253, 50805, 52067, 50890, 52515, 50890, 52172, 50890, 51686, 55960, 57897, 53423, 52629, 50887, 52857, 50887, 52380, 50887, 51673, 54818, 51247, 50952, 55129, 50823, 52067, 50948, 51140, 50952, 52515, 50948, 52172, 50948, 51686, 50948, 52615, 50954, 52844, 50871, 57254, 71068, 52629, 50890, 52857, 50890, 52380, 50890, 51673, 55960, 57897, 55782, 52629, 50818, 52857, 50818, 52380, 50818, 51673, 52565, 52206, 50830, 60458, 50823, 52629, 50800, 51461, 50830, 52857, 50800, 52380, 50800, 51673, 51730, 53288, 54790, 52336, 50887, 52624, 50887, 52436, 50887, 51827, 55489, 50916, 58263, 57253, 50901, 51579, 50855, 51950, 50855, 51979, 50855, 51565, 55459, 67811, 53401, 51744, 50890, 52285, 50890, 52491, 50890, 51789, 54755, 51214, 50940, 55216, 50823, 51431, 50925, 51098, 50940, 51784, 50925, 52394, 50925, 51752, 50925, 71735, 55433, 50916, 58263, 54666, 50849, 51431, 50809, 51784, 50809, 52394, 50809, 51752, 52634, 60933, 56249, 52298, 50844, 52824, 50844, 54727, 50844, 52202, 50844, 61628, 50897, 60458, 51045, 51723, 50840, 51461, 50897, 52186, 50840, 53628, 50840, 52315, 52411, 52668, 54745, 51431, 50874, 51784, 50874, 52394, 50874, 51752, 54448, 50916, 57094, 54666, 50901, 51744 ]
[ 0, 250, 15855, 19834, 15229, 11, 230, 3694, 6, 4246, 10, 3152, 6757, 6, 6755, 12547, 6, 21979, 9590, 6, 1076, 560, 31365, 25999, 6, 8, 24896, 4, 20, 2125, 7630, 6568, 10, 25306, 5466, 6, 19, 10, 19448, 8, 2829, 2933, 6328, 4, 11679, 154, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 24, 18, 17407, 30, 10, 33215, 13931, 9, 230, 119, 6, 274, 119, 406, 6, 163, 428, 406, 6, 8, 12608, 4, 20, 34879, 45552, 833, 7, 1045, 41, 13582, 7580, 8, 5679, 26709, 676, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 55977, 50805, 51522, 71785, 55981, 52483, 52301, 52605, 53088, 52446, 55977, 52815, 55981, 52596, 52301, 52961, 53088, 50805, 50799, 55209, 50805, 51098, 71785, 53503, 52483, 52301, 52605, 51953, 52446, 55209, 52815, 53503, 52596, 52301, 52961, 51953, 50805, 50799, 54609, 50805, 51140, 71785, 55981, 52483, 52301, 52605, 51859, 52446, 54609, 52815, 55981, 52596, 52301, 52961, 51859, 50805, 50799, 53455, 50805, 51493, 52903, 50420, 53503, 52483, 52301, 52605, 51676, 52446, 53455, 52815, 53503, 52596, 52301, 51538, 50799, 51831, 52115, 51831, 51631, 51831, 52424, 51643, 52728, 51721, 50807, 71756, 50918, 56170, 50805, 51522, 54994, 55977, 52483, 55981, 52605, 52301, 52446, 52185, 51161, 56170, 50805, 51522, 56027, 55977, 52596, 55981, 52961, 52301, 50805, 50799, 56170, 50805, 51098, 54994, 55209, 52483, 51721, 50795, 53503, 52605, 51721, 50795, 52301, 52446, 51721, 50967, 56170, 50805, 51522, 56027, 55209, 65052, 51643, 58647, 53503, 50805, 50454, 51721, 58760, 52301, 50805, 50799, 51831, 51036, 56170, 50805, 51793, 54994, 54609, 52483, 55981, 52605, 52301, 52446, 56170, 50805, 51930, 56027, 54609, 52596, 55981, 52961, 52301, 50805, 50799, 56452, 50805, 51868, 54994, 54609, 52483, 51643, 50795, 53503, 52605, 51643, 50795, 52301, 52446, 51643, 50967, 56170, 50805, 51150, 56027, 54609, 65052, 52185, 58647, 55981, 50805, 50454, 51643, 58760, 52301, 50805, 71025, 50918, 54609, 50805, 51261, 54994, 55981, 52483, 53245, 52605, 51859, 52446, 52200, 51161, 55977, 50805, 51261, 56027, 55981, 52596, 53245, 52961, 53088, 50805, 50799, 55977, 50805, 51560, 54994, 55981, 52483, 52200, 50795, 53245, 52605, 52200, 50795, 53088, 52446, 52200, 50967, 55977, 50805, 51930, 56027, 53455, 65052, 51993, 58647, 53245, 50805, 50454, 52200, 58760, 53088, 50805, 50799, 52200, 51036, 55977, 50805, 51522, 56100, 55981, 52483, 52301, 52605, 53088, 52446, 55977, 52815, 55981, 52596, 52301, 52961, 53088, 50805, 50799, 55209, 50805, 51098, 54994, 53503, 52483, 52372, 50795, 52301, 52605, 52372, 50795, 51953, 52446, 52372, 50967, 55977, 50805, 51150, 56027, 53503, 65052, 54061, 58647, 52301, 50805, 50454, 52372, 58760, 53088, 50805, 50799, 52372, 50918, 56170, 50805, 51140, 54994, 53455, 52483, 53503, 52605, 52301, 52446, 51993, 51161, 56170, 50805, 51150, 56027, 53455, 52596, 55981, 52961, 52301, 50805, 50799, 63090, 50805, 51261, 54994, 54609, 52483, 52200, 50795, 55981, 52605, 52200, 50795, 53088, 52446, 52200, 50967, 63090, 50805, 51560, 56027, 54609, 65052, 51721, 58647, 53455, 50805, 50454, 52226, 58760, 53245, 50805, 50799, 52200, 51036, 56170, 50805, 51522, 54994, 55977, 52483, 55981, 52605, 52301, 52446, 56170, 50805, 51522, 56027, 55977, 52596, 55981, 52961, 52301, 50805, 72135, 50807, 56170, 50805, 51098, 56100, 53455, 52483, 51721, 50795, 53503, 52605, 51721, 50795, 52301, 52446, 51721, 50967, 56170, 52815, 53455, 65052, 51643, 58647, 53503, 50805, 50454, 51721, 58760, 52301, 50805, 50799, 51831, 50918, 56170, 50805, 51140, 51307, 51793, 71785, 54609, 52483, 55981, 52605, 52301, 52446, 51643, 51161, 56170, 52815, 54609, 52596, 55981, 52961, 52301, 50805, 50799, 56452, 50805, 51140, 51103, 51793, 66526, 54609, 52483, 51721, 50795, 53455, 52605, 51721, 50795, 53503, 52446, 51721, 50967, 56452, 52815, 54609, 65052, 51643, 58647, 53503, 50805, 50454, 51721, 58760, 52301, 50805, 50799, 51831, 51036, 56170, 50805, 51140, 66526, 54609, 52483, 55981, 52605, 52301, 52446, 63090, 50805, 51261, 64486, 54609, 52596, 53455, 52961, 53503, 50805, 50799, 54609, 50889, 55981, 50889, 52301, 50889, 51859, 50889, 51140, 55973, 51831, 51736, 51831, 51646, 51831, 69127, 51643, 50967, 50454, 51721, 50967, 71756, 50918, 51829, 50889, 53426, 50889, 55919, 50889, 54753, 50889, 51522, 50849, 52064, 51103, 51093, 66526, 51930, 53466, 51859, 50889, 52977, 50889, 51829, 50889, 52463, 50889, 53691, 53308, 51930, 53470, 52185, 51161, 52301, 50889, 53088, 50889, 52977, 50889, 51829, 50889, 51522, 50849, 54313, 51486, 51375, 51486, 50444, 51930, 53794, 55981, 50889, 52301, 50889, 53088, 50889, 52977, 50889, 53691, 53702, 51930, 50849, 50799, 54609, 51077, 53503, 51077, 53245, 51077, 51859, 51077, 51098, 69027, 51721, 50795, 52813, 50849, 51165, 53308, 51721, 50795, 52813, 50849, 51165, 53470, 51721, 50967, 55209, 51077, 53503, 51077, 52301, 51077, 51953, 51077, 51150, 51103, 52813, 51110, 51165, 75577, 51643, 50967, 52064, 51110, 51093, 51110, 50454, 51721, 50967, 52813, 51110, 51165, 51110, 50799, 51831, 51036, 51676, 50889, 52317, 50889, 51829, 50889, 52836, 50889, 51140, 50849, 53992, 51307, 51154, 71785, 51150, 53466, 51859, 50889, 52977, 50889, 51829, 50889, 52463, 50889, 53033, 53308, 51150, 53470, 52301, 50889, 51859, 50889, 52977, 50889, 51829, 50889, 51140, 53969, 51150, 53794, 55981, 50889, 52301, 50889, 51859, 50889, 52977, 50889, 53033, 53702, 51150, 50849, 50799, 53455, 51077, 53503, 51077, 52301, 51077, 51676, 51077, 51140, 69027, 51643, 50795, 52064, 50849, 51093, 53308, 51643, 50795, 52064, 50849, 51093, 53470, 51643, 50967, 54609, 51077, 55981, 51077, 52301, 51077, 51676, 51077, 51793, 51103, 52064, 51110, 51093, 75577, 52185, 50967, 54313, 51110, 51375, 51110, 50454, 51643, 50967, 52064, 51110, 51093, 51110, 71025, 50918, 51859, 50889, 52977, 50889, 53146, 50889, 52463, 50889, 51261, 50849, 52249, 51103, 51201, 66526, 51793, 53466, 53245, 50889, 51859, 50889, 52977, 50889, 53146, 50889, 58226, 53308, 51793, 53470, 52200, 51161, 55981, 50889, 53245, 50889, 51859, 50889, 52977, 50889, 51261, 50849, 52994, 51486, 51395, 51486, 50444, 51868, 53794, 54609, 50889, 55981, 50889, 53245, 50889, 51859, 50889, 58226, 53702, 51793, 50849, 50799, 53455, 51077, 52301, 51077, 53088, 51077, 51676, 51077, 51930, 69027, 52200, 50795, 52994, 50849, 51395, 53308, 52200, 50795, 52994, 50849, 51395, 53470, 52200, 50967, 53455, 51077, 53144, 51077, 53088, 51077, 51676, 51077, 51560, 51103, 52994, 51110, 51395, 75577, 51993, 50967, 52249, 51110, 51201, 51110, 50454, 52200, 50967, 52994, 51110, 51395, 51110, 50799, 52200, 51036, 51676, 50889, 51829, 50889, 53426, 50889, 52836, 50889, 51522, 51103, 52994, 51307, 51395, 79422, 53088, 50889, 51676, 50889, 51829, 50889, 53426, 53912, 52301, 51095, 53088, 51095, 51676, 51095, 51829, 51095, 51930, 50914, 50446, 53455, 51095, 52301, 51095, 53088, 51095, 51676, 64949, 51522, 50914, 50454, 55977, 51095, 53455, 51095, 52301, 51095, 53088, 51095, 50799, 55209, 51264, 53503, 51264, 52301, 51264, 51953, 51264, 51098, 69027, 52372, 73543, 50849, 51182, 53308, 52372, 73543, 50849, 51182, 53470, 52372, 50967, 51150, 51103, 51951, 51110, 51182, 75577, 54061, 50967, 54236, 51110, 51629, 51110, 50454, 52372, 50967, 51951, 51110, 51182, 51110, 50799, 52372, 50918, 51676, 50910, 51140, 51110, 51951, 51103, 51182, 51103, 50418, 52317, 60853, 51829, 50910, 51150, 55640, 52836, 50910, 53033, 50914, 50430, 51829, 58877, 52317, 56983, 51993, 51161, 51859, 50910, 51140, 51110, 52249, 51486, 51201, 51486, 50442, 52977, 64482, 51829, 50910, 51150, 55620, 52463, 50910, 53033, 51110, 50454, 51829, 62990, 52977, 50910, 51140, 50897, 50799, 51859, 50910, 51261, 51110, 50418, 52977, 60853, 53146, 50910, 51793, 55640, 52200, 50795, 53426, 50910, 58226, 50914, 52994, 50849 ]
[ 0, 250, 765, 15855, 8, 19834, 15229, 11, 211, 3694, 6, 278, 7, 10, 7212, 204, 73, 306, 20889, 4, 590, 10, 25306, 27456, 6, 24, 7630, 6568, 10, 2933, 8, 9066, 5466, 6, 10686, 13, 814, 5422, 150, 67, 1839, 3423, 9, 26545, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50438, 50776, 50338, 51492, 50443, 53492, 70292, 52206, 58181, 51799, 66429, 52206, 50884, 53492, 50859, 50452, 52206, 61376, 51799, 63318, 52206, 53685, 53492, 50884, 53667, 60427, 53492, 50884, 52206, 56419, 51799, 50952, 51601, 52206, 72083, 51799, 69736, 51247, 55777, 51799, 50884, 52206, 61553, 55173, 51184, 55173, 51184, 54885, 51184, 65015, 51184, 50422, 51799, 50884, 51841, 68712, 51799, 54818, 52206, 57982, 51799, 59974, 52206, 50952, 50433, 51799, 59046, 52206, 50952, 50439, 51841, 66607, 51799, 50884, 52206, 67356, 51799, 71977, 52206, 68523, 51799, 67940, 51841, 65243, 51799, 50884, 52206, 66000, 51799, 66430, 51841, 50887, 58359, 57829, 52206, 61060, 51799, 64600, 51841, 73888, 51799, 79287, 51841, 50859, 50428, 51799, 50952, 50431, 55173, 51795, 55173, 51795, 54885, 51795, 65015, 51795, 50432, 51841, 61251, 51247, 59871, 51841, 55486, 51799, 50884, 52206, 63061, 53492, 55395, 52206, 50884, 51799, 59901, 51841, 71476, 51799, 50924, 50447, 51841, 66943, 51799, 60374, 52206, 53409, 51799, 59620, 51841, 65601, 51799, 50879, 50460, 52206, 60634, 51799, 50884, 60963, 76330, 51799, 50879, 50422, 51841, 79287, 51247, 65469, 51841, 65337, 51247, 68484, 51841, 66279, 51247, 75978, 71647, 51247, 77118, 51841, 66607, 51247, 62860, 51214, 70894, 51841, 50884, 51799, 65835, 51841, 53409, 51247, 50887, 50452, 51841, 50884, 51799, 56883, 52206, 70332, 51799, 67383, 52206, 56419, 53492, 65175, 52206, 50884, 58359, 51215, 50422, 52206, 57851, 51799, 63501, 51841, 50952, 50427, 51799, 70690, 52206, 59974, 51799, 63519, 51841, 54937, 51799, 62108, 52206, 59046, 55173, 51029, 55173, 51029, 54885, 51029, 65015, 51029, 50436, 51799, 50952, 50440, 52206, 65809, 51799, 50884, 51841, 70251, 51799, 50884, 52206, 71977, 51799, 60374, 51841, 66280, 51799, 50884, 52206, 50952, 50455, 51841, 66000, 51799, 50884, 52206, 66879, 51799, 50887, 51601, 51841, 50884, 51799, 50884, 52206, 76330, 55173, 51795, 55173, 51795, 54885, 51795, 65015, 51795, 50418, 51799, 50884, 51841, 63632, 51247, 61553, 51841, 50884, 51799, 55795, 52206, 68712, 51799, 61396, 51841, 50859, 50428, 51799, 56710, 52206, 77121, 51799, 50884, 51841, 55486, 51799, 63061, 52206, 55395, 51799, 50884, 51841, 73423, 51247, 66607, 51799, 70251, 51841, 58181, 51799, 64915, 52206, 55268, 51799, 50924, 50455, 52206, 53685, 51799, 61160, 51841, 63728, 51799, 56419, 52206, 62519, 53492, 50859, 51601, 52206, 50884, 51799, 72083, 51841, 58486, 51799, 73489, 52206, 68712, 55173, 51184, 55173, 51184, 51799, 50884, 54885, 51184, 65015, 51184, 50425, 51841, 50859, 50428, 51799, 56710, 52206, 66428, 51799, 53230, 51841, 56535, 51799, 63061, 52206, 55395, 51799, 59901, 51841, 71476, 51799, 62860, 52206, 70292, 51799, 50884, 51841, 54721, 51799, 50884, 52206, 50859, 50452, 51799, 56883, 51841, 54418, 51799, 50884, 52206, 63728, 51799, 50952, 61628, 59176, 51799, 50952, 50421, 52206, 50884, 53492, 57851, 52206, 63501, 51799, 66086, 52206, 65337, 51799, 68484, 52206, 50884, 53492, 59046, 52206, 50884, 51799, 63061, 51841, 55395, 51799, 50884, 52206, 71476, 51799, 55489, 52206, 63674, 51799, 55888, 51841, 66429, 51799, 50884, 52206, 50859, 50452, 51799, 56883, 51841, 70332, 51799, 53685, 52206, 63728, 51799, 56419, 51841, 50924, 51601, 51799, 72083, 52206, 61060, 51799, 54681, 52206, 55747, 51799, 50884, 51841, 53950, 51799, 57982, 52206, 50884, 53492, 56710, 52206, 50884, 51799, 53974, 52206, 56535, 51799, 50884, 51841, 65268, 51799, 53418, 52206, 61032, 51799, 50884, 51841, 55489, 51799, 50884, 52206, 58181, 51799, 50884, 51841, 66429, 51799, 53409, 52206, 67940, 51799, 56883, 51841, 61376, 51799, 55433, 52206, 60427, 51799, 66430, 52206, 50887, 58359, 59176, 52206, 64600, 51799, 63632, 51841, 69388, 51799, 57851, 52206, 63501, 51799, 61396, 51841, 65469, 51799, 70690, 52206, 64247, 53492, 62357, 52206, 50884, 51799, 53230, 51841, 67980, 51799, 59871, 52206, 65582, 51799, 50884, 51841, 71647, 51799, 73423, 52206, 66607, 51799, 70894, 52206, 50884, 54637, 55888, 52206, 64915, 51799, 55268, 51841, 59620, 51799, 50884, 52759, 65603, 51799, 67557, 54637, 60427, 53492, 50884, 54637, 56419, 52759, 62519, 51799, 60634, 52206, 51294, 69341, 53492, 59974, 52206, 66428, 51799, 53230, 52206, 55122, 53492, 71647, 52206, 57681, 51799, 54811, 52206, 67356, 51799, 71977, 52206, 68523, 51799, 65603, 52206, 50884, 53492, 63318, 53667, 66000, 53492, 60427, 52206, 51158, 50459, 55173, 51795, 55173, 51795, 54885, 51795, 65015, 51795, 52177, 51799, 67237, 52206, 51013, 50431, 51799, 53230, 51841, 61251, 51799, 51238, 50443, 52206, 70251, 51799, 61312, 52206, 51158, 50453, 53492, 54418, 52206, 50884, 51799, 63728, 51841, 62519, 51799, 50859, 51601, 51841, 72083, 51799, 69736, 52206, 50884, 51799, 53829, 51841, 69388, 51799, 79066, 52206, 50952, 50431, 51799, 53230, 52206, 56535, 51799, 54773, 52206, 59901, 53492, 73423, 52206, 57681, 51799, 72915, 52206, 70292, 51799, 66429, 52206, 50859, 50452, 51799, 56883, 51841, 61376, 51799, 63318, 52206, 67383, 51799, 66879, 52206, 50887, 51601, 51799, 50884, 51841, 61060, 51247, 67237, 51841, 50884, 52206, 73050, 51799, 50884, 51841, 67415, 51247, 50884, 51841, 53150, 51799, 57982, 52206, 65337, 51799, 62357, 51841, 75339, 51799, 63061, 52206, 59653, 53492, 50859, 50440, 52206, 50884, 51841, 65809, 51247, 65781, 51841, 63674, 51799, 50884, 52206, 50884, 53492, 65835, 52206, 53409, 51799, 50884, 51841, 65601, 51799, 63318, 52206, 54418, 55173, 51795, 55173, 51795, 54885, 51795, 65015, 51795, 50458, 51799, 50884, 51841, 65175, 51799, 50887, 61628, 50952, 50419, 51841, 69388, 51799, 60480, 52206, 55795, 53492, 67415, 52206, 53150, 51799, 57982, 51841, 70690, 51247, 56710, 51841, 63519, 51799, 62357, 52206, 68686, 51799, 55486, 51841, 50924, 50439, 52206, 59846, 51799, 62860, 51841, 70251, 51799, 58181, 52206, 50884, 53492, 66429, 52206, 59620, 51799, 50884, 51841, 65601, 51799, 63318, 52206, 50884, 53492, 50952, 50457, 55173, 51795, 55173, 51795, 54885, 51795, 65015, 51795, 50460, 51799, 50859, 51601, 52206, 50952, 50419, 51799, 50884, 51841, 73050, 51799, 50884, 52206, 67415, 51799, 65469, 51247, 70690, 51841, 56710, 51799, 50952, 50433, 51247, 59046, 51841, 50884, 51799, 65268, 51841, 59901, 51247, 59846, 51841, 65809, 51799, 54811, 51841, 71977, 51799, 50884, 52206, 60374, 54637, 53409, 52206, 50884, 51799, 59620, 51841, 65601, 51799, 55433, 52206, 50952, 50460, 53492, 50859, 51601, 52206, 50884, 51799, 72083, 51841, 63817, 55173, 51352, 55173, 51352, 51799, 50884, 52206, 50859, 54885, 51352, 65015, 51352, 50423, 51799, 63501, 51841, 54818, 51799, 75980, 52206, 59974, 51799, 66428, 51841, 67980, 51799, 59871, 52206, 65268, 51799, 53418, 51841, 77118, 51799, 57681, 52206, 65781, 51799, 53806, 51841, 58181, 51799, 50884, 52206, 66429, 51799, 50859, 50452, 52206, 56883, 53492, 70332, 52206, 50884, 51799, 61160, 51841, 60427, 51799, 56419, 52206, 50859, 58359, 59176, 52206, 54681, 51799, 55747, 52206, 68208, 51799, 50859, 50428, 52206, 50884, 54637, 63519, 52206, 62357, 51799, 67980, 52206, 59871, 54637, 66279, 51799, 66905, 54637, 59846, 53492, 50884, 54637, 65809, 51799, 67356, 52206, 50952, 50448, 51799, 68523, 52206, 67940, 53492, 59349, 52206, 61160, 51799, 50884, 51841, 60427 ]
[ 0, 250, 8787, 5175, 15229, 30291, 19, 3495, 4785, 6, 42, 2125, 1931, 21683, 41, 20425, 8, 17627, 17274, 16464, 4, 20, 3152, 6757, 1239, 5, 483, 6, 2800, 30, 10, 11739, 9, 81, 9756, 8, 21979, 29589, 6, 150, 5, 21072, 694, 10, 5204, 1451, 4, 8504, 11, 5, 762, 9, 381, 3694, 8, 6780, 10, 2635, 20889, 6, 24, 1575, 10, 16331, 33215, 16739, 9, 83, 406, 6, 272, 119, 1176, 406, 6, 8, 381, 6, 8216, 7, 63, 15352, 30054, 2868, 8, 2365, 12, 6928, 2369, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 72191, 51809, 66838, 50949, 51296, 50817, 51278, 50817, 51046, 50817, 51143, 50949, 50712, 50277, 50883, 66392, 50949, 55912, 51031, 52664, 59757, 51913, 54952, 50770, 50313, 51226, 50456, 50947, 50829, 61007, 51258, 50457, 51032, 50829, 51292, 50839, 63198, 51258, 68475, 67076, 51788, 50895, 73604, 50825, 50796, 50440, 51292, 50936, 50445, 51067, 66270, 51292, 58145, 51067, 52802, 51032, 71929, 51076, 50995, 52177, 51067, 50981, 50460, 51131, 50834, 50682, 50301, 51004, 53069, 50947, 50829, 61007, 57236, 51032, 50820, 63198, 73768, 51292, 50839, 68475, 65587, 51788, 50884, 73604, 58517, 51292, 76520, 51067, 54199, 51292, 57534, 51067, 57029, 77850, 50799, 51076, 50987, 50424, 50998, 50829, 50970, 52524, 63614, 50428, 51311, 55001, 50986, 58331, 65813, 50431, 53682, 50817, 51386, 50949, 51046, 50949, 71909, 50949, 57017, 50883, 55912, 69201, 51504, 51253, 53069, 50770, 50313, 51446, 50432, 51131, 50949, 50682, 50301, 76779, 50947, 50829, 61007, 51258, 50441, 51032, 50834, 51292, 50828, 63198, 51004, 68475, 67387, 51788, 50961, 73604, 50835, 57731, 51292, 61001, 51067, 58594, 51292, 57531, 51067, 59651, 51032, 57815, 51076, 67647, 51067, 51535, 55753, 51076, 52071, 57333, 51076, 50923, 51207, 72442, 51032, 55266, 51076, 54325, 50632, 51032, 77840, 51076, 52658, 50929, 73320, 50947, 51173, 51504, 70190, 50929, 54230, 50970, 68464, 79742, 50799, 55046, 51574, 60115, 50998, 57817, 51444, 51003, 50970, 68029, 50960, 54233, 51725, 51377, 50998, 57816, 50986, 54230, 53092, 51242, 50960, 60345, 51818, 51576, 52287, 51484, 51785, 51054, 52012, 51417, 59857, 50998, 51411, 50947, 51480, 51131, 51218, 58596, 63465, 50837, 52591, 51818, 50838, 52287, 50864, 60674, 72996, 50986, 51309, 50423, 51785, 50836, 59676, 52948, 51481, 53927, 51309, 52413, 51160, 50960, 51242, 51078, 51101, 51076, 51043, 51441, 50969, 73177, 54288, 51785, 55531, 52742, 51981, 51576, 53171, 51645, 51704, 50923, 50998, 51337, 50929, 51233, 51032, 51312, 51762, 51180, 54880, 55551, 51704, 50887, 60347, 52948, 51481, 53927, 51753, 51507, 50859, 50960, 51412, 51078, 51480, 51076, 51480, 53659, 55647, 51632, 54194, 51598, 51373, 54359, 51875, 54898, 50825, 50799, 51981, 51484, 53171, 51534, 51785, 51354, 50929, 51212, 51032, 51203, 50998, 51242, 52105, 50420, 52553, 53868, 51785, 50887, 60656, 52948, 51006, 53927, 50972, 52413, 51354, 67524, 73776, 50960, 55591, 51041, 52667, 52287, 51878, 51818, 51878, 50986, 51749, 50998, 51535, 50947, 51535, 68329, 51785, 54957, 51704, 51354, 52261, 52129, 51041, 54284, 51704, 50880, 60347, 51507, 54301, 51041, 54859, 51860, 54647, 51818, 51484, 52287, 51484, 51598, 50955, 50986, 51412, 50998, 51363, 50947, 51411, 65906, 56046, 51875, 50887, 71964, 51388, 52261, 50420, 52287, 50933, 51818, 51174, 72996, 64836, 65425, 69971, 51785, 50836, 57451, 52948, 51642, 53927, 51642, 52413, 51354, 51078, 51363, 50960, 52063, 51076, 51363, 51718, 50969, 73177, 54288, 51785, 55960, 52896, 51981, 51709, 53171, 51484, 51704, 51388, 50998, 51212, 50929, 51242, 51032, 51363, 52261, 51180, 55136, 55551, 51704, 51594, 53166, 53927, 51174, 52948, 50838, 51507, 50862, 51078, 51008, 63983, 50960, 67831, 54944, 51860, 54353, 52287, 51243, 51818, 51445, 51598, 50910, 50986, 51313, 50998, 51313, 50947, 51313, 74268, 51875, 52390, 50837, 71964, 51286, 52261, 51039, 54880, 55133, 51785, 50840, 60656, 52413, 51354, 51441, 50969, 73177, 54606, 51785, 55395, 51704, 51354, 51200, 50952, 52261, 50441, 51263, 54653, 51580, 53948, 51041, 54028, 51704, 50880, 51409, 50833, 60583, 76722, 51580, 50921, 53659, 55647, 51860, 50859, 51409, 58325, 51818, 51172, 52287, 51576, 51598, 50878, 51767, 50822, 50998, 51400, 50947, 51109, 50986, 51411, 58596, 54814, 51875, 50821, 52484, 50844, 71964, 51286, 51571, 60115, 52287, 50851, 51818, 50904, 66907, 50998, 61203, 51589, 54316, 51785, 50855, 57451, 52948, 51309, 53927, 51172, 52413, 51460, 51078, 51412, 51076, 51025, 51441, 50969, 59485, 50960, 52063, 51361, 53439, 51785, 54192, 53018, 51981, 51709, 53171, 51775, 51704, 51354, 50998, 51233, 50929, 51242, 51032, 51411, 52261, 51180, 54880, 58781, 51704, 50890, 59207, 52948, 51172, 53927, 51484, 51507, 50942, 50960, 51412, 51078, 51312, 51076, 51312, 51441, 50969, 57886, 51632, 53211, 51598, 50942, 72446, 51875, 53228, 50837, 50799, 51981, 51199, 53171, 51253, 51785, 51388, 50998, 51242, 50929, 51212, 51032, 51411, 52261, 51039, 55136, 55133, 51785, 51420, 52762, 52948, 50972, 53927, 50972, 52413, 51354, 51078, 50955, 67524, 62326, 51441, 50969, 52975, 51818, 52598, 52287, 51878, 50986, 51535, 50998, 51448, 50947, 51397, 68329, 51785, 56409, 52742, 51704, 51388, 52105, 51180, 54902, 55551, 51704, 50882, 55723, 51507, 58041, 57886, 51860, 54418, 51818, 51484, 52287, 51484, 51598, 50977, 50986, 51411, 50998, 51400, 50947, 51400, 71680, 56046, 51875, 55976, 50837, 71964, 50911, 52261, 50420, 51818, 51051, 52287, 50933, 65425, 72996, 50947, 51589, 55136, 55133, 51785, 50840, 57451, 52948, 51645, 53927, 51645, 52413, 51354, 50960, 51337, 51078, 51412, 51076, 51400, 51441, 50969, 73177, 54248, 51785, 59266, 53171, 51199, 51981, 51199, 51704, 51354, 50998, 51233, 50929, 51101, 51032, 51025, 52261, 52129, 51041, 54492, 51704, 50858, 59056, 52948, 50838, 53927, 51481, 51507, 51033, 78348, 51078, 50955, 51076, 55182, 57886, 51860, 54353, 51818, 51313, 52287, 51449, 51598, 50866, 50986, 51662, 50998, 51692, 50947, 51677, 74268, 51875, 50880, 71964, 51575, 63059, 54534, 55133, 51785, 50840, 57451, 52413, 51460, 51441, 50969, 79506, 54487, 51785, 54192, 52621, 51704, 51460, 58939, 51441, 51901, 55757, 51263, 54746, 51580, 51373, 74071, 55551, 51704, 50930, 51409, 50854, 59056, 78161, 51580, 50942, 51441, 51901, 57886, 51860, 50859, 51409, 54424, 51598, 50942, 51767, 56558, 54382, 60486, 54026, 51875, 50858, 52484, 50810, 50799, 51818, 51006, 52287, 51006, 51785, 51286, 51571, 50981, 50986, 50978, 70590, 50947, 61062, 51818, 51051, 52287, 50933, 56852, 50805, 50998, 50813, 60674, 70396, 69971, 51785, 50867, 58139, 52948, 51309, 53927, 51172, 52413, 51354, 56302, 50806, 51076, 51852, 67363, 51078, 51480, 53659, 52667, 56852, 51370, 54487, 51785, 55960, 53018, 51981, 51709, 53171, 51199, 51704, 51354, 56376, 51685, 50998, 51337, 50929, 51233, 76084, 52261, 52129, 51041, 54847, 51704, 52374, 53430, 53927, 51576, 52948, 51172, 51507, 50833, 50960, 51412, 51078, 51480, 51076, 51199, 53659, 55647, 51632, 53920, 51598, 50959, 72446, 51875, 54690, 50863, 50799, 51981, 51108, 53171, 50932, 51785, 51388, 50998, 51242, 50929, 51101, 51032, 51267, 52261, 50420, 54837, 51055, 67951, 55133, 51785, 50855, 57451, 52948, 51079, 53927, 51079, 52413, 51460, 63983, 50960, 51008, 51078, 50959, 53659, 52667, 52287, 51244, 51818, 52598, 54837, 51343, 50986, 51535, 50998, 51448, 50947, 51535, 75596, 51785, 53412, 52621, 51704, 51354, 52553, 50841, 52129, 51135, 53528, 51704, 50858, 55723, 51507, 50940, 51441, 50969, 54944, 51860, 57313, 51818, 51423, 52287, 51484, 51598, 50942, 50986, 51412, 50998, 51363, 50947, 51480, 69749, 51875, 50836, 71964, 51286, 76457, 52287, 51006, 51818, 50851, 56852, 50893, 66907, 50998, 61203, 55629, 51005, 55133, 51785, 50862, 59195, 52948, 51534, 53927, 51484, 52413, 51354, 56302, 50879, 50960 ]
[ 0, 250, 15855, 19834, 14, 7630, 6568, 10, 1472, 9, 4149, 8, 9733, 6, 4246, 10, 6755, 12547, 6, 17691, 28430, 6, 2342, 4467, 6, 449, 7087, 6, 8, 17035, 873, 2401, 4, 20, 2125, 16, 278, 11, 211, 3694, 19, 10, 7212, 20889, 9, 8017, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 1171, 230, 401, 6, 163, 43531, 1176, 406, 6, 83, 6, 211, 119, 6, 8, 230, 10431, 12361, 6, 1271, 5581, 7, 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 ]	[ 57333, 50438, 54108, 50930, 52371, 50930, 51251, 73898, 54246, 50890, 52830, 50890, 51301, 58040, 54219, 50858, 53148, 50858, 51491, 50858, 50799, 52278, 51354, 53445, 51013, 51699, 51100, 51088, 51354, 55527, 51290, 52060, 51145, 59570, 62227, 66297, 53004, 68559, 54252, 54219, 50840, 53148, 50836, 51491, 50840, 50758, 50310, 53881, 52278, 50887, 54277, 51535, 52665, 51417, 51699, 50840, 51088, 50887, 59570, 57250, 52355, 50936, 51883, 50830, 51113, 50936, 50758, 50310, 54221, 59570, 55167, 62672, 54123, 52186, 50821, 53445, 51235, 51638, 50887, 72159, 55527, 50991, 60468, 58709, 52355, 72233, 51883, 51215, 50758, 50310, 54478, 59570, 55118, 62672, 64827, 52186, 50936, 51165, 58111, 53445, 51238, 54277, 50901, 52665, 50873, 51638, 50952, 55527, 51221, 60468, 56366, 62672, 74022, 51784, 50948, 51299, 50921, 51093, 59465, 60468, 54678, 57205, 50810, 73410, 51167, 53712, 51290, 51251, 51192, 51107, 51167, 55840, 50991, 58448, 59991, 57205, 54448, 58448, 64987, 52173, 50887, 51426, 50890, 51395, 57851, 62218, 66118, 51900, 50859, 51251, 50840, 51107, 53950, 55308, 51047, 52665, 51127, 58448, 50874, 50428, 51784, 51192, 51093, 51192, 51299, 51175, 57205, 72479, 60468, 57181, 62672, 62551, 52186, 50880, 51638, 77923, 54459, 53712, 51235, 55840, 51377, 60468, 73686, 52355, 51215, 51113, 51215, 51883, 51238, 50441, 62672, 54653, 60468, 55876, 57205, 54004, 52278, 50940, 53712, 51227, 55308, 51212, 52665, 50901, 51699, 50952, 51088, 50940, 55840, 51346, 60468, 58305, 62672, 66968, 54219, 50865, 53148, 50938, 51491, 55037, 59570, 67419, 50758, 50310, 65736, 51699, 51238, 50799, 52278, 51167, 54875, 50896, 51088, 51167, 58240, 51346, 59570, 56624, 66297, 53728, 68559, 54252, 50722, 50298, 50809, 53148, 50809, 74821, 50758, 50310, 63750, 61331, 50858, 51699, 50887, 51088, 54149, 56049, 51397, 52665, 51417, 59570, 50844, 50428, 58916, 50879, 51113, 50879, 51883, 70397, 50758, 50310, 54221, 59570, 54378, 62672, 52691, 58811, 50821, 54875, 50991, 51638, 50887, 72159, 58240, 51178, 60468, 58709, 58916, 50967, 51883, 50967, 51113, 50967, 50758, 50310, 54653, 59570, 54803, 62672, 64827, 58811, 50948, 51165, 57322, 54875, 51160, 56049, 51101, 52665, 51100, 51638, 50940, 58240, 51194, 60468, 80135, 62672, 51008, 50455, 55008, 50936, 51093, 57973, 51299, 50940, 60468, 57651, 57205, 62659, 54108, 50806, 51251, 50893, 51107, 50806, 50799, 57184, 51235, 58942, 51095, 58448, 50959, 50417, 69002, 76687, 52549, 50865, 51794, 50910, 51488, 56202, 60189, 54347, 69002, 63750, 52285, 50921, 51266, 50921, 51301, 57327, 57184, 51167, 52665, 51077, 51946, 51091, 58942, 51178, 60468, 56274, 59570, 76880, 51794, 59099, 52549, 50940, 51488, 50940, 68559, 55167, 50758, 50305, 61842, 51251, 55122, 51900, 51173, 53013, 51379, 53780, 51056, 51107, 51173, 58942, 51111, 66297, 50897, 50441, 50758, 50310, 68982, 62672, 76791, 58448, 53639, 57184, 51235, 52665, 51400, 52371, 51159, 55120, 51055, 51224, 51003, 50451, 66297, 50917, 50455, 51596, 50961, 54108, 50961, 51107, 54450, 51789, 50890, 54246, 50890, 51266, 60203, 52083, 50940, 54219, 50940, 51600, 50858, 66791, 51192, 52278, 51192, 53445, 51285, 51182, 51192, 51699, 51047, 55527, 51562, 52060, 51204, 50415, 59570, 64754, 66297, 54351, 68559, 62642, 52083, 50890, 54219, 50890, 51600, 56731, 50758, 50310, 66031, 51565, 50882, 52278, 50882, 51182, 54856, 52665, 51417, 52032, 51417, 59570, 78753, 51686, 50948, 52355, 50948, 51284, 50948, 50758, 50310, 64123, 59570, 59662, 62672, 59321, 51827, 50962, 52186, 50962, 51394, 50962, 60468, 59646, 58030, 51013, 53148, 51411, 66168, 51221, 50440, 51686, 50806, 52355, 50806, 51284, 50806, 50758, 50310, 75636, 59570, 61094, 62672, 63771, 53148, 51109, 60468, 51757, 51827, 50936, 52186, 50936, 58030, 50807, 53064, 50995, 52032, 50889, 51394, 50936, 66168, 51377, 50452, 62672, 50897, 50455, 51673, 50936, 51784, 50936, 51304, 57973, 60468, 54421, 57205, 62923, 51887, 51109, 73608, 51379, 51900, 51379, 53712, 51356, 51384, 51379, 55840, 51159, 58448, 53504, 62672, 52871, 60468, 73050, 52604, 50890, 52549, 50890, 51905, 56731, 69002, 66031, 51886, 50858, 51900, 50858, 51384, 50858, 51887, 78804, 51996, 51157, 52032, 51048, 55840, 51056, 58448, 66121, 52433, 51388, 52285, 51388, 51733, 51388, 69002, 52658, 58448, 57907, 60189, 61055, 52830, 72652, 52171, 50930, 51802, 50930, 58391, 51055, 51690, 50930, 59813, 51411, 58458, 78447, 52433, 51388, 52285, 51388, 51733, 51388, 50442, 69002, 62236, 58448, 69352, 60189, 63771, 52171, 51014, 51802, 51014, 51690, 51014, 52830, 66039, 58391, 51566, 52541, 51056, 53339, 51159, 59813, 51025, 58458, 58639, 60189, 58740, 52367, 51138, 51950, 51138, 51926, 66864, 58458, 67383, 56601, 62923, 53297, 51483, 52515, 51483, 52487, 51483, 51887, 51480, 59456, 50858, 50799, 53712, 51566, 52196, 50889, 55840, 51346, 50417, 56601, 72857, 59456, 73050, 61867, 55884, 53809, 50880, 52624, 50880, 53089, 62588, 51699, 51380, 59456, 53950, 53297, 50890, 52515, 50890, 53445, 51055, 53064, 51312, 52032, 50807, 52487, 50890, 55527, 51109, 50428, 56601, 63395, 52367, 51286, 51950, 51286, 51926, 68141, 58458, 56535, 60189, 61055, 52171, 50882, 51802, 50882, 51690, 55381, 54536, 51054, 51996, 51056, 52196, 51159, 51883, 51380, 56847, 51109, 58458, 50859, 50440, 52433, 51167, 52285, 51167, 51733, 51167, 50441, 60189, 58937, 58458, 56762, 56601, 50952, 50449, 53215, 70147, 51886, 50948, 51900, 50948, 63875, 51454, 51946, 51109, 53916, 51056, 51384, 50948, 50694, 50277, 51346, 58458, 53987, 60189, 54418, 52604, 50938, 52549, 50938, 51905, 50938, 58448, 64175, 69002, 50812, 73608, 51167, 51900, 51167, 57184, 51379, 51996, 51194, 52601, 51178, 51384, 51167, 52371, 51480, 58942, 51124, 50415, 58448, 53471, 51686, 50858, 52355, 50858, 51284, 65418, 51699, 50995, 58458, 58216, 51606, 50859, 52714, 50859, 53445, 50896, 53013, 51237, 51946, 51162, 53916, 51056, 76263, 55527, 50981, 52060, 51290, 50428, 69002, 77554, 51686, 51167, 52355, 51167, 51284, 65744, 60468, 53263, 59570, 51724, 51596, 51173, 54108, 50882, 57184, 50806, 51996, 50805, 52601, 50849, 52371, 50930, 51107, 51173, 58942, 51100, 51224, 51227, 58448, 50806, 61948, 55416, 50619, 54108, 50895, 52371, 50834, 51251, 70000, 54246, 50895, 54219, 50895, 52830, 50895, 53148, 50895, 51301, 50895, 51491, 50895, 57333, 52278, 50967, 53445, 50915, 51699, 50949, 51699, 51100, 51088, 51043, 51699, 51380, 55527, 51267, 52060, 51314, 59570, 56115, 66297, 54711, 68559, 53591, 54219, 50867, 53148, 50867, 51491, 50867, 50758, 50310, 52580, 52278, 50813, 54277, 51448, 52665, 51446, 51699, 50857, 51088, 50813, 59570, 58519, 52355, 50977, 51883, 50955, 51113, 50977, 50758, 50310, 52739, 59570, 56149, 62672, 52788, 52186, 50854, 53445, 51255, 51638, 50813, 51165, 50854, 55527, 51363, 60468, 58666, 52355, 50892, 74736, 51883, 51043, 50758, 50310, 54682, 59570, 54043, 62672, 65311, 52186, 50977, 51165, 59881, 53445, 51203, 54277, 50849, 52665, 50805, 51638, 50878, 55527, 51534, 60468, 56936, 62672, 68926, 51784, 50977, 51299, 50942, 51093, 59960, 60468, 54846, 57205, 50874, 73410, 51194, 53712, 51267, 51251, 51177, 51107, 51194, 55840, 51363, 58448, 56115, 57205, 54711, 58448, 51142, 50422, 52173, 50813, 51426, 50813, 51395, 53910, 62218, 68014 ]
[ 0, 713, 765, 8, 15352, 30054, 3152, 8, 3495, 2214, 6, 278, 11, 163, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 1931, 21683, 11098, 8, 10563, 4, 20, 13305, 3315, 5, 169, 6, 7513, 30, 3459, 9590, 6, 17691, 28430, 6, 6755, 12547, 6, 8, 21072, 6, 70, 1375, 23, 41, 20425, 12447, 1001, 20889, 9, 15900, 13410, 228, 2289, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50791, 51108, 51544, 51108, 51570, 63236, 63046, 52320, 51108, 78794, 51528, 53279, 51335, 50802, 71501, 53188, 51274, 50965, 68219, 68219, 51310, 51001, 79311, 51325, 60781, 68219, 50892, 51302, 53279, 51325, 60781, 68219, 54100, 71501, 53129, 74129, 68219, 68219, 69246, 50981, 51570, 50802, 51325, 60781, 68219, 55200, 71501, 52340, 51274, 50965, 68219, 71274, 51310, 50973, 51310, 51382, 53279, 51325, 60781, 68219, 54771, 51325, 60781, 68219, 50892, 51528, 53279, 68286, 52414, 59368, 65479, 64233, 51310, 50965, 79311, 68286, 52187, 75209, 65479, 50892, 51302, 53279, 51228, 59368, 65479, 54100, 68286, 51863, 75209, 65479, 64233, 67680, 50981, 51570, 76867, 59368, 65479, 55200, 63046, 52255, 75209, 65479, 51568, 50303, 51310, 50916, 51310, 51382, 53279, 51213, 75209, 65479, 54771, 50852, 50802, 52332, 59368, 65479, 50892, 51528, 53279, 71501, 52255, 51274, 50965, 68219, 51568, 50303, 51310, 50956, 79311, 51325, 60781, 68219, 50892, 51302, 53279, 51325, 60781, 68219, 54100, 71501, 52332, 74129, 68219, 51568, 50303, 66533, 50981, 51570, 50802, 51325, 60781, 68219, 55200, 71501, 53541, 70167, 65479, 68219, 50892, 51382, 53279, 71501, 53100, 51685, 50965, 68219, 76451, 51742, 50456, 51325, 60781, 68219, 50892, 51528, 53279, 51228, 59368, 65479, 55041, 51228, 59368, 65479, 50892, 51302, 53279, 51228, 59368, 65479, 54100, 68286, 53541, 75209, 65479, 51568, 50303, 50981, 51570, 76867, 59368, 65479, 55200, 63046, 57633, 51274, 50916, 65479, 51568, 50298, 51310, 51382, 53279, 51213, 75209, 65479, 54771, 50852, 60973, 65479, 50892, 51528, 53279, 51335, 50802, 51325, 60781, 74690, 56763, 51325, 60781, 68219, 76919, 51741, 50327, 50981, 52173, 50802, 51302, 53279, 51325, 60781, 68219, 50892, 52549, 52030, 51325, 60781, 74690, 51936, 50319, 51741, 50322, 50981, 52824, 50824, 51570, 50802, 51325, 60781, 68219, 55200, 51325, 60781, 74690, 74690, 51310, 51001, 51310, 52926, 50824, 51382, 53279, 51325, 60781, 68219, 54771, 51325, 60781, 68219, 50892, 54219, 50802, 51528, 53279, 51228, 59368, 65479, 68219, 71278, 50981, 52926, 52410, 51228, 59368, 65479, 50892, 54219, 50802, 51302, 53279, 51228, 59368, 65479, 65064, 51677, 51147, 51677, 52824, 61222, 51228, 59368, 65479, 50892, 51570, 76867, 59368, 65479, 50892, 52129, 50802, 51105, 59368, 65479, 50892, 51382, 53279, 51213, 75209, 65479, 54771, 50852, 60973, 65479, 50892, 51528, 53279, 51325, 60781, 68219, 55041, 51325, 60781, 68219, 76919, 51741, 50327, 50981, 52173, 50802, 51302, 53279, 51325, 60781, 68219, 50892, 52549, 52030, 51325, 60781, 68219, 66714, 51741, 50322, 50981, 52824, 50824, 51570, 50802, 51325, 60781, 68219, 55200, 51325, 60781, 68219, 68219, 51310, 51001, 51310, 52926, 50824, 51382, 53279, 51325, 60781, 68219, 54771, 51325, 60781, 68219, 50892, 54219, 50802, 51528, 53279, 51228, 59368, 65479, 68219, 51310, 50968, 51310, 52926, 52410, 51228, 59368, 65479, 50892, 54219, 50802, 51302, 53279, 51228, 59368, 65479, 50892, 52926, 52030, 51228, 59368, 65479, 64233, 51742, 50965, 51742, 50973, 51742, 57382, 51029, 51570, 76867, 59368, 65479, 50892, 52129, 50802, 51105, 59368, 65479, 50892, 51382, 53279, 51213, 75209, 65479, 54771, 50852, 60973, 65479, 50892, 51528, 53279, 51325, 60781, 68219, 55041, 51325, 60781, 68219, 76919, 51741, 50327, 50981, 52173, 50802, 51302, 53279, 51325, 60781, 68219, 50892, 52549, 52030, 51325, 60781, 68219, 66714, 51741, 50322, 50981, 52824, 50824, 51570, 50802, 51325, 60781, 68219, 55200, 51325, 60781, 68219, 68219, 51310, 51001, 51310, 52926, 50824, 51382, 53279, 51325, 60781, 68219, 54771, 51325, 60781, 68219, 50892, 54219, 50802, 51528, 53279, 51228, 59368, 65479, 68219, 71278, 50981, 52926, 52410, 51228, 59368, 65479, 50892, 54219, 50802, 51302, 53279, 51228, 59368, 65479, 65064, 51677, 51147, 51677, 52926, 52030, 51228, 59368, 65479, 50892, 52824, 51029, 51570, 76867, 59368, 65479, 50892, 52129, 50802, 51105, 59368, 65479, 50892, 51382, 53279, 51213, 75209, 65479, 54771, 50852, 60973, 65479, 50892, 51528, 53279, 51325, 60781, 68219, 55041, 51325, 60781, 68219, 76919, 51741, 50327, 50981, 52173, 50802, 51302, 53279, 51325, 60781, 68219, 50892, 52549, 52030, 51325, 60781, 68219, 66714, 51741, 50322, 50981, 52824, 50824, 51570, 50802, 51325, 60781, 68219, 55200, 51325, 60781, 68219, 68219, 51310, 51001, 51310, 52926, 51029, 51382, 53279, 51325, 60781, 68219, 54771, 51325, 60781, 68219, 50892, 51528, 53279, 51228, 59368, 65479, 68219, 51310, 50968, 51310, 52926, 52410, 51228, 59368, 65479, 50892, 54219, 50802, 51302, 53279, 51228, 59368, 65479, 50892, 52926, 52030, 51228, 59368, 65479, 64233, 51742, 50965, 51742, 50973, 51742, 57382, 51029, 51570, 76867, 59368, 65479, 55200, 50852, 50802, 51105, 59368, 65479, 54058, 50798, 58163, 50802, 51213, 59368, 65479, 50892, 53061, 52163, 50804, 50803, 58918, 50916, 65479, 50892, 52198, 50803, 51528, 53279, 51321, 56972, 50802, 51133, 51274, 52626, 51310, 50876, 58007, 65064, 55041, 50876, 65064, 65064, 50892, 52278, 50802, 51302, 53279, 50876, 58007, 65064, 50892, 52278, 52030, 51321, 65285, 50896, 52036, 51742, 50877, 58007, 59389, 50981, 52278, 50802, 51570, 57650, 58007, 50892, 52278, 50824, 52129, 65285, 57442, 59389, 58007, 50892, 51382, 53279, 51019, 57442, 58007, 58007, 50892, 52714, 52325, 51321, 60589, 57442, 59389, 58007, 50892, 54246, 50802, 51528, 53279, 50964, 51274, 52626, 51310, 50861, 58007, 65064, 50892, 52714, 52410, 50876, 58007, 65064, 50892, 54246, 50824, 51302, 53279, 50861, 58007, 65064, 54100, 51321, 65285, 50896, 52036, 51742, 50877, 58007, 60540, 50981, 54108, 50802, 51570, 57650, 58007, 50892, 55008, 50824, 52129, 62397, 57926, 59389, 58007, 50892, 51382, 53279, 51321, 65285, 57442, 58007, 59389, 50981, 56672, 50802, 51213, 57442, 58007, 50892, 51528, 53279, 51335, 60011, 51274, 52137, 51293, 52735, 51293, 50861, 58399, 61366, 55041, 50861, 61366, 61366, 50892, 52714, 50802, 51302, 53279, 50861, 58399, 61366, 50892, 52714, 52030, 51321, 77533, 62667, 61366, 61366, 50892, 54246, 50802, 51570, 56893, 61366, 50892, 52714, 50802, 52129, 50802, 51133, 56294, 61366, 61366, 50892, 54246, 73116, 53279, 51186, 56294, 58399, 61366, 50892, 52714, 52325, 50953, 56294, 61366, 61366, 50892, 54246, 50802, 51528, 53279, 50945, 51274, 52430, 51293, 52626, 51293, 50877, 59389, 58007, 50892, 52714, 54226, 50877, 58007, 58007, 50892, 51302, 53279, 50877, 59389, 58007, 50892, 54246, 52030, 51321, 65285, 75209, 59389, 58007, 50892, 54108, 50802, 51570, 57650, 59389, 58007, 50892, 55008, 50824, 52129, 50802, 51011, 57442, 58007, 58007, 50892, 51382, 53279, 51321, 50802, 51186, 57442, 59389, 58007, 54771, 50852, 50802, 51415, 59368, 59389, 58007, 50892, 51528, 53279, 51335, 50802, 51133, 51274, 52626, 51310, 50876, 58007, 65064, 55041, 50876, 65064, 65064, 50892, 52278, 50802, 51302, 53279, 50876, 58007, 65064, 50892, 52278, 52030, 51321, 65285, 50896, 52036, 51742, 50877, 58007, 59389, 50981, 52278, 50802, 51570, 57650, 58007, 50892, 52278, 50824, 52129, 65285, 57442, 59389, 58007, 50892, 51382, 53279, 51019, 57442, 58007, 58007, 50892, 52714, 52325, 51321, 60589, 57442, 59389, 58007, 50892, 54246, 50802, 51528, 53279, 50964, 51274, 52626, 51310, 50861, 58007, 65064, 50892, 52714, 52410, 50876, 58007, 65064 ]
[ 0, 250, 15352, 30054, 8, 14899, 3152, 8, 5175, 24904, 1349, 4246, 10, 3152, 6757, 6, 3459, 9590, 6, 21072, 6, 8, 38668, 12638, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 748, 1879, 15525, 20889, 6, 5, 2214, 3905, 10, 33215, 16739, 9, 3676, 406, 6, 83, 6, 3676, 6, 272, 6, 8, 83, 4, 20, 32076, 8859, 7630, 6568, 10, 11602, 9, 1619, 4780, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 63515, 50799, 52105, 51544, 50839, 51570, 50839, 57048, 69770, 52193, 64375, 50840, 51528, 52885, 67444, 50839, 51302, 55232, 51320, 52950, 53422, 51180, 50839, 51382, 55843, 51320, 50839, 53028, 52302, 51320, 50839, 51302, 55232, 51320, 52950, 59530, 67110, 59848, 50953, 51345, 69890, 51453, 50839, 53534, 56300, 50798, 52885, 67444, 50839, 51302, 55232, 51320, 52950, 53422, 51180, 50839, 51382, 55843, 51320, 50839, 53028, 52302, 51320, 50839, 51302, 55232, 51320, 52950, 53422, 50443, 64375, 56843, 67110, 52105, 50449, 64375, 54411, 65082, 53431, 55843, 63676, 52105, 53534, 56300, 50798, 52885, 67444, 50839, 51302, 55232, 51320, 52950, 53422, 51180, 50839, 51382, 55843, 51320, 50839, 53028, 52302, 51320, 50839, 51302, 55232, 51320, 52950, 59530, 63676, 59848, 65082, 53431, 55843, 67110, 52105, 53534, 51933, 53422, 50418, 64375, 50880, 77127, 51302, 55232, 51320, 52950, 53422, 51180, 50839, 51382, 55843, 52018, 50887, 52657, 51013, 51320, 50839, 53028, 52302, 52018, 50879, 51320, 52992, 51817, 53543, 55232, 52657, 50879, 51320, 50839, 52594, 50817, 51450, 62698, 50439, 52018, 60835, 51320, 57740, 51019, 58138, 69890, 50451, 50953, 58603, 67110, 57456, 58544, 50769, 50298, 50821, 53534, 61025, 52885, 52981, 50769, 50300, 51421, 50839, 68467, 50427, 50769, 50298, 58607, 51011, 53974, 51320, 56802, 50769, 50300, 53813, 68584, 53422, 50439, 50769, 50298, 54811, 51914, 50911, 67110, 52105, 50449, 50953, 58138, 51953, 51030, 50769, 50300, 54092, 51636, 50455, 51011, 51345, 50456, 51676, 52282, 51617, 52282, 51829, 52282, 52328, 52282, 51320, 50839, 53028, 52302, 51320, 61266, 51011, 51215, 51302, 55232, 51320, 56802, 51011, 54773, 53422, 50439, 51011, 60021, 67110, 59848, 51271, 50879, 53431, 55843, 51133, 50924, 52105, 50457, 50769, 50300, 50882, 53534, 51013, 58538, 50769, 50298, 50840, 52105, 68467, 50427, 50769, 50300, 53974, 51011, 69446, 56802, 50769, 50298, 52444, 68688, 50769, 50300, 53238, 59252, 51914, 50911, 63676, 59848, 51953, 51030, 65082, 50769, 50298, 52997, 55843, 51829, 52282, 52328, 52282, 51676, 52282, 51617, 52282, 51011, 51345, 51320, 50839, 53028, 52302, 51320, 61266, 51011, 51215, 51302, 55232, 51011, 51073, 51320, 52950, 59530, 63676, 59848, 51271, 51158, 69890, 50451, 50769, 50300, 54403, 51133, 50924, 52105, 50457, 50769, 50298, 50821, 53534, 51013, 58538, 50769, 50300, 50859, 61236, 50769, 50298, 54047, 55232, 51011, 50859, 50769, 50300, 69446, 52950, 68688, 50769, 50298, 53238, 59252, 51914, 50911, 63676, 59848, 51953, 51030, 61635, 50769, 50300, 54092, 55843, 51829, 51551, 52328, 51551, 51676, 51551, 51617, 51551, 51011, 51345, 51320, 50839, 53028, 52302, 51011, 51215, 51320, 50839, 51302, 55232, 51011, 51345, 51320, 52950, 53422, 50443, 51019, 55885, 50769, 50298, 50840, 59848, 51271, 51158, 50769, 50300, 51747, 51463, 55843, 51133, 50924, 50769, 50298, 51420, 54625, 50769, 50300, 50812, 78941, 50415, 51011, 51013, 77127, 51302, 55232, 51011, 50859, 50769, 50298, 69446, 52950, 68688, 59530, 67110, 50769, 50300, 51508, 57740, 51914, 50911, 50449, 61635, 71060, 50451, 51953, 63109, 51617, 53241, 51829, 53241, 52328, 53241, 51676, 53241, 51011, 51345, 50769, 50298, 53662, 70989, 53028, 52302, 51011, 51238, 51320, 50839, 68467, 50427, 50769, 50300, 52559, 51011, 51013, 51320, 50839, 52594, 50817, 51450, 51463, 59252, 63676, 51320, 60954, 57969, 76973, 57523, 55510, 61635, 69890, 50451, 56452, 50930, 50452, 56170, 75903, 55017, 75336, 55209, 55577, 54609, 72256, 51158, 57456, 58472, 53455, 58561, 52949, 77929, 53455, 67327, 53503, 50961, 52301, 52195, 51953, 51551, 51676, 51551, 50799, 51859, 50961, 50964, 51294, 63680, 67444, 52992, 60793, 54092, 55232, 64666, 70658, 52421, 52195, 51617, 52195, 64375, 52589, 51636, 50439, 51914, 52195, 50927, 62682, 60793, 78060, 53068, 64375, 53988, 55843, 65340, 60793, 50887, 52105, 50799, 51617, 53241, 51953, 53241, 51829, 53241, 51011, 51294, 64375, 52589, 51636, 51039, 52992, 60793, 55060, 55232, 51011, 51013, 64375, 50930, 70658, 59530, 63676, 60793, 54451, 70989, 71060, 50451, 61635, 50455, 55209, 55577, 54609, 72256, 51158, 52105, 50458, 53455, 77929, 52949, 50930, 50799, 52301, 52195, 51953, 52195, 51676, 52195, 50964, 51013, 63680, 67444, 61266, 64375, 50821, 51302, 55232, 64666, 52105, 50433, 60793, 55395, 51914, 52195, 52421, 52195, 51617, 52195, 53422, 50439, 52317, 50961, 50927, 51013, 64375, 55920, 51320, 50839, 71060, 50451, 60793, 55577, 65340, 64375, 51421, 50839, 50799, 51953, 53241, 51617, 53241, 51829, 53241, 60793, 52589, 51636, 50415, 51011, 51294, 50420, 64375, 51864, 50839, 51302, 55232, 51011, 51073, 60793, 50962, 70658, 59530, 63676, 51320, 53068, 50953, 54593, 51636, 50454, 55017, 75336, 55209, 55577, 68584, 52105, 50457, 54609, 69312, 53455, 72023, 52949, 50961, 50799, 52301, 52195, 51953, 52195, 51676, 52195, 50964, 51294, 63680, 67444, 52992, 64375, 54332, 55232, 64666, 70658, 51914, 52195, 52421, 52195, 51617, 52195, 60793, 52589, 51636, 50439, 50927, 62682, 64375, 53579, 50898, 53068, 60793, 54332, 55843, 65340, 64375, 51594, 50839, 78941, 50415, 51953, 53241, 51617, 53241, 51829, 53241, 51011, 51294, 51039, 52992, 60793, 54332, 55232, 64375, 51508, 56802, 51011, 69052, 59530, 63676, 60793, 54451, 70989, 71060, 50451, 61635, 50455, 55017, 55577, 55209, 72256, 51158, 52105, 50458, 54609, 50882, 50460, 53455, 50930, 79255, 52195, 52301, 52195, 51953, 52195, 50964, 51013, 63680, 67444, 52992, 64375, 54332, 55232, 64666, 52105, 50433, 60793, 56341, 52421, 52195, 51914, 52195, 51617, 52195, 53422, 50439, 50927, 62682, 64375, 53662, 50898, 53068, 60793, 54092, 55843, 65340, 64375, 50930, 52105, 53534, 51896, 53422, 50415, 51953, 52017, 51617, 52017, 51829, 52017, 77127, 68467, 51361, 52950, 59530, 67110, 51320, 53068, 50953, 53543, 55843, 63676, 64375, 51864, 50839, 59696, 52885, 55614, 51011, 51294, 50420, 60793, 50840, 61236, 64375, 52467, 55232, 51011, 50859, 60793, 50887, 52105, 57876, 50924, 64375, 53579, 51636, 50443, 51019, 73374, 51320, 58560, 50953, 55149, 60793, 54092, 51636, 50455, 51676, 51551, 51829, 51551, 52328, 51551, 50456, 51617, 51551, 51011, 51238, 52105, 50799, 58538, 51011, 51215, 52105, 51302, 55232, 51011, 50859, 52105, 57876, 50924, 59530, 67110, 51320, 53068, 51271, 54593, 51636, 50451, 64375, 55433, 51133, 50924, 52105, 50457, 60793, 50880, 53534, 51013, 58538, 64375, 50887, 61236, 60793, 53988, 55232, 51011, 50859, 64375, 51421, 52950, 68688, 60793, 53662, 59252, 51914, 50911, 63676, 51320, 53068, 51953, 51030, 50953, 54593, 51636, 50451, 64375, 67970, 52328, 52282, 50456, 51676, 52282, 51617, 52282, 51829, 52282, 51011, 51238, 52105, 50799, 58538, 51011, 51215, 52105, 51302, 55232, 51011, 50952, 70658, 53422, 50439, 51011, 60021, 63676, 51320, 53068, 51271, 53543, 55843, 51133, 50879, 52105, 50457, 60793, 50887, 53534, 51013, 53422, 51039, 61266, 64375, 50836, 68467, 50427, 60793, 54937, 51011, 50952, 64375, 51421, 52950, 68584, 60793, 54451, 59252, 51914, 50911, 51019, 51158, 51320, 53068, 51953, 50911, 50953, 53543, 55843, 51829, 52282, 52328, 52282, 51011, 51238, 52105, 50457, 51676, 51551, 51617, 51551, 50799, 58538, 51011, 51238, 52105, 51302, 55232, 51011, 50859, 52105, 57876, 50924, 59530, 67110, 64375, 78060, 53068 ]
[ 0, 250, 19448, 5175, 8, 3495, 2214, 19, 10, 15352, 30054, 8, 5679, 26709, 5466, 6, 4246, 38668, 18569, 6, 38668, 22052, 6, 13305, 6, 21072, 6, 8, 21979, 8669, 4, 20, 2125, 11498, 10, 7212, 20889, 9, 13259, 163, 5683, 11, 204, 73, 306, 86, 6543, 6, 278, 11, 5, 762, 9, 272, 538, 6, 19, 10, 33215, 16739, 9, 1918, 406, 6, 163, 119, 406, 6, 272, 6, 8, 211, 4, 20, 2214, 7630, 6568, 10, 1472, 9, 657, 8, 34, 10, 12405, 1619, 16464, 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 ]	[ 56103, 50799, 51956, 51544, 50835, 51570, 52772, 51956, 53447, 51264, 69162, 50947, 51079, 51032, 51079, 52693, 51671, 52684, 51671, 53465, 52727, 63998, 50368, 51367, 52944, 51027, 50915, 52008, 53523, 50914, 52008, 58783, 63334, 52904, 59425, 53515, 53594, 51027, 67290, 53003, 50900, 50914, 50920, 53553, 50871, 50807, 52008, 50461, 69695, 51076, 51079, 54281, 51538, 51067, 51079, 52507, 51671, 54008, 52727, 53679, 52727, 63998, 54213, 51086, 50915, 52008, 53337, 55859, 53515, 53575, 50973, 51958, 50299, 54490, 55712, 52904, 50902, 57623, 51139, 53515, 53594, 50968, 50896, 50920, 53003, 50902, 63334, 53553, 51374, 56411, 51833, 53515, 57015, 50947, 51079, 51032, 51079, 53465, 52727, 52894, 51264, 51292, 51079, 52684, 51671, 55314, 52727, 63998, 54213, 51027, 50915, 52008, 53523, 50914, 52008, 59409, 70094, 52904, 59425, 53515, 53594, 50900, 67290, 53003, 50871, 63334, 50870, 51453, 59119, 69695, 51076, 51079, 54008, 52727, 53053, 51264, 51067, 51079, 52507, 51671, 53679, 52727, 63998, 54213, 50899, 50915, 52008, 54439, 50914, 54958, 52897, 53127, 53575, 51026, 56831, 71779, 55712, 52904, 50877, 55113, 51139, 65161, 53127, 53594, 50973, 66455, 53127, 53003, 50861, 50914, 72632, 53462, 51833, 74003, 51987, 55397, 51326, 50820, 54468, 51264, 50876, 58339, 68504, 57269, 51079, 51032, 51079, 51292, 51079, 52507, 52727, 53465, 54373, 55314, 52727, 63998, 50368, 51367, 61044, 52976, 50916, 50915, 52155, 50923, 52008, 58319, 50915, 52155, 71361, 52904, 50876, 50915, 52155, 55020, 51139, 53515, 53594, 52182, 71361, 53003, 54120, 71361, 53553, 52182, 50923, 52008, 50461, 69162, 50947, 51079, 52894, 51264, 50871, 59258, 57543, 50915, 54120, 50893, 51032, 51079, 53278, 51671, 52684, 54373, 63998, 50908, 53502, 50915, 52008, 53645, 56901, 53515, 53575, 50877, 50807, 68645, 50893, 50947, 56362, 55712, 52904, 54809, 55020, 51139, 53515, 53594, 57624, 71361, 53003, 54120, 71361, 53553, 54809, 57393, 51833, 53515, 57015, 68104, 69162, 53447, 51264, 50947, 51079, 53460, 51671, 52693, 52727, 63998, 54213, 51027, 50915, 54120, 50893, 52008, 53337, 50914, 52008, 58783, 57269, 73180, 52904, 59425, 53515, 53594, 50877, 50914, 50920, 53003, 50871, 67290, 53553, 68645, 50893, 52008, 50461, 69947, 69695, 53053, 51264, 54809, 50923, 51076, 51079, 52583, 52727, 52507, 52727, 54008, 52727, 63998, 58698, 54183, 50899, 50915, 54809, 53734, 65161, 53098, 50861, 50914, 54120, 52964, 65161, 53762, 53575, 50973, 50807, 54809, 52152, 50365, 52388, 53762, 52904, 50902, 50896, 54809, 55020, 51139, 53515, 53594, 50973, 50807, 54120, 50923, 51224, 53762, 53003, 50861, 50914, 50920, 53553, 50973, 54035, 51833, 76298, 55712, 50870, 54468, 52024, 50968, 55890, 59258, 50845, 50947, 51079, 51032, 51079, 51292, 51079, 52507, 54373, 53465, 54373, 55314, 54373, 63998, 54213, 50916, 50915, 52008, 54439, 50915, 52008, 59409, 67290, 52904, 51752, 55020, 51139, 53515, 53594, 52202, 50893, 74887, 50920, 53003, 52155, 50893, 78673, 50920, 53553, 52155, 50923, 51032, 51079, 52008, 50799, 52182, 52221, 51833, 54213, 50916, 50915, 52008, 54439, 50915, 54120, 53734, 53515, 53575, 50876, 50915, 54120, 71779, 55712, 52904, 59425, 53515, 53594, 57624, 50893, 74887, 50920, 53003, 54120, 50893, 78673, 50920, 53553, 54809, 51054, 51032, 51079, 63998, 53515, 50870, 52894, 51264, 69162, 50947, 51079, 53278, 51671, 52684, 57598, 63998, 54213, 50871, 50915, 68645, 51370, 52976, 50877, 50914, 52008, 59409, 57269, 73180, 52904, 59425, 53515, 53594, 50877, 50914, 50920, 53003, 50920, 53553, 50871, 50915, 52008, 50461, 69947, 69162, 53447, 51077, 50947, 51079, 53460, 51447, 52693, 52212, 63998, 54213, 50899, 50915, 54809, 50893, 52008, 56207, 50914, 54120, 52964, 53515, 53575, 54809, 56285, 55712, 57892, 69947, 69695, 57842, 51077, 54809, 50923, 51076, 51079, 52583, 52212, 52507, 52212, 54008, 52212, 59425, 53515, 53594, 50861, 50807, 54120, 71361, 53003, 50973, 50914, 50920, 53553, 50902, 54035, 51833, 53515, 50870, 54468, 51264, 50968, 55890, 59258, 50915, 50947, 51079, 51032, 51079, 51292, 51079, 52507, 52727, 53465, 54373, 55314, 52727, 63998, 62861, 52976, 50916, 50915, 52155, 50923, 52008, 58319, 50915, 52155, 71361, 52904, 50876, 50915, 52155, 55020, 51139, 53515, 53594, 52182, 71361, 53003, 54120, 71361, 53553, 52182, 50923, 52008, 50461, 69162, 50947, 51079, 52894, 51264, 50876, 57055, 58421, 50845, 54120, 50893, 51032, 51079, 53278, 51671, 52684, 54373, 63998, 50908, 53502, 50915, 52008, 53645, 56901, 53515, 53575, 50877, 57269, 56362, 55712, 52904, 59425, 53515, 53594, 57624, 56969, 53003, 54120, 71361, 53553, 54809, 57393, 51833, 53515, 57015, 68104, 69162, 53447, 51264, 50947, 51079, 53460, 51671, 52693, 52727, 63998, 54213, 51027, 50915, 54120, 51370, 52976, 50899, 50914, 52008, 58783, 57269, 73180, 52904, 59425, 53515, 53594, 50877, 50914, 57624, 71361, 53003, 50871, 50915, 54809, 68576, 53553, 57624, 50893, 52008, 50461, 69947, 69695, 53053, 51264, 54809, 51054, 51076, 51079, 52583, 52727, 52507, 52727, 54008, 52727, 63998, 58698, 54183, 50899, 50915, 54958, 52418, 53098, 50861, 50914, 54120, 52964, 65161, 53762, 53575, 50973, 50807, 54809, 52152, 50365, 52388, 53762, 52904, 50902, 50896, 54809, 51460, 59425, 53515, 53594, 50973, 74019, 53762, 54914, 65938, 51016, 56222, 50914, 50920, 53553, 50973, 54035, 51833, 76298, 55712, 50870, 54468, 54834, 50861, 68504, 55695, 50845, 50947, 51079, 51032, 51079, 51292, 51079, 52507, 63712, 53465, 54373, 55314, 63712, 63998, 54213, 50916, 50915, 52008, 54439, 50915, 52008, 59409, 67290, 52904, 52161, 54581, 51139, 53515, 53594, 51596, 50795, 74887, 50920, 53003, 51752, 50893, 78673, 50920, 53553, 52155, 50795, 51032, 51079, 52008, 72849, 54187, 51833, 54213, 50916, 50915, 52155, 51370, 52976, 50861, 50915, 52155, 53734, 53515, 53575, 50876, 50915, 52182, 56895, 55712, 52904, 52155, 59165, 51139, 53515, 53594, 50920, 53003, 51132, 53363, 50877, 59258, 58134, 50807, 68104, 69162, 50947, 51079, 53278, 55844, 52684, 63712, 51335, 53107, 50870, 53462, 51833, 53515, 50870, 51528, 51833, 54213, 50871, 50915, 52008, 56207, 50914, 52008, 59409, 57269, 73180, 52904, 59425, 53515, 53594, 50877, 50914, 50920, 53003, 50920, 53553, 50871, 50915, 57624, 50893, 52008, 50461, 69947, 69162, 53447, 51077, 54809, 51054, 50947, 51079, 53460, 51447, 52693, 52212, 63998, 54213, 50899, 50915, 54958, 52897, 53109, 52060, 52928, 50877, 50914, 54120, 51054, 54958, 52418, 52823, 53575, 50852, 50365, 52388, 52823, 57892, 69947, 69695, 57842, 51077, 52182, 51460, 51076, 51079, 52583, 52212, 52507, 52212, 54008, 52212, 59425, 53515, 53594, 50861, 74019, 52523, 54914, 52155, 51573, 51326, 53057, 50973, 50914, 50920, 53555, 50902, 55530, 51833, 76298, 53107, 55397, 51289, 56834, 68104, 69162, 53447, 51264, 50947, 51079, 53460, 51671, 52693, 51671, 51821, 51748, 51701, 51748, 53051, 52988, 63998, 50368, 51367, 52944, 51027, 50915, 52008, 53523, 50915, 52008, 58783, 50914, 50920, 52904, 50877, 52496, 51139, 53515, 53594, 68645, 56969, 53003, 54120, 58515, 53553, 54809, 51054, 52008, 54281, 51538, 56470, 51671, 52583, 51671, 52507, 51671, 51678, 51748, 52252, 51748, 54415, 52988, 63998, 54213, 51086, 50915, 54120, 51370, 52976, 50899, 56901, 53515, 53575, 50861, 50914, 50852, 55712 ]
[ 0, 250, 765, 3495, 2214, 11509, 657, 149, 63, 15352, 30054, 8, 19448, 15229, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 6, 24, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 3722, 2125, 1575, 10, 33215, 16739, 9, 1918, 6, 272, 6, 8, 274, 6, 2351, 10, 1372, 8, 32625, 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 ]	[ 54458, 50423, 51050, 52731, 50428, 50900, 51376, 50434, 50871, 51524, 50440, 50900, 52192, 50445, 72251, 50451, 50900, 51365, 50456, 50871, 51376, 50461, 50900, 51210, 53069, 51050, 52192, 50425, 50900, 51470, 50430, 70795, 50436, 50900, 55778, 50441, 72529, 78631, 52179, 50452, 50871, 51432, 50458, 50900, 51824, 53069, 51050, 53577, 50443, 62440, 50454, 50876, 51108, 50455, 51050, 53866, 50460, 50900, 51824, 52478, 50906, 64307, 51470, 78523, 74448, 50876, 60138, 51376, 69374, 51254, 50439, 50931, 51253, 69119, 55513, 65743, 51315, 51210, 50876, 52222, 72407, 51470, 50461, 77559, 53069, 50900, 52147, 78630, 53280, 50441, 50906, 71715, 50877, 67763, 69459, 51120, 52441, 50459, 51027, 51432, 51809, 50871, 70276, 51079, 50422, 51027, 68713, 50861, 51097, 50428, 51085, 53096, 50433, 51026, 51166, 50439, 77556, 50876, 52431, 50445, 51026, 54573, 50452, 50916, 62609, 56020, 50861, 51333, 50434, 50871, 51166, 50440, 50916, 59843, 51234, 52256, 50916, 51380, 50451, 51050, 69096, 50899, 51312, 50997, 51006, 50461, 51050, 51254, 52478, 50900, 51109, 50419, 51279, 51961, 50424, 51050, 72373, 50871, 50915, 50430, 51027, 64945, 51050, 51058, 50440, 51324, 51277, 50441, 50861, 50943, 50446, 51120, 51058, 50451, 50899, 51267, 51026, 61703, 51120, 50829, 54852, 51159, 51360, 51423, 50419, 51315, 51174, 50424, 50916, 51800, 50301, 50972, 50430, 51315, 59051, 50861, 52019, 50294, 52256, 50441, 51027, 52731, 72785, 63030, 51123, 50452, 51027, 61034, 50916, 51447, 51085, 54344, 51809, 51026, 54848, 63686, 73632, 50899, 51627, 50434, 51234, 51697, 50440, 51050, 54146, 50445, 50997, 55814, 51050, 56458, 50457, 50899, 54228, 66243, 50931, 52056, 50442, 51062, 51380, 50871, 52916, 50448, 50876, 52731, 50453, 51081, 51253, 50931, 51824, 50458, 50876, 51470, 51601, 51062, 51411, 50416, 50931, 51254, 50421, 50876, 51824, 50425, 51339, 51253, 50426, 50931, 51174, 50431, 64041, 50436, 51062, 52151, 65471, 50441, 50876, 51387, 50447, 50968, 51210, 50454, 50876, 56563, 50461, 50951, 51466, 59412, 51081, 50892, 50431, 50999, 50905, 50436, 50951, 51312, 50437, 50899, 52598, 50442, 50877, 64180, 50902, 66257, 51391, 50453, 65997, 50460, 50951, 63085, 51852, 52177, 50861, 51376, 50423, 51062, 52015, 50876, 51174, 50429, 50861, 53486, 50437, 50968, 52136, 50448, 50951, 53674, 51601, 50931, 61784, 50968, 58964, 50997, 52256, 50426, 50968, 51380, 50431, 50871, 51824, 50436, 50902, 51253, 50906, 51174, 50442, 50871, 64180, 50876, 51253, 51027, 51679, 50452, 50871, 50972, 50458, 50931, 58421, 51058, 51601, 50871, 50978, 50421, 51086, 74826, 51109, 53337, 51006, 50431, 50902, 51109, 50861, 50978, 50436, 50899, 59721, 50999, 51312, 51040, 50995, 50447, 50916, 51174, 50452, 50968, 58421, 78450, 50916, 50863, 51601, 50951, 70276, 52256, 57340, 51470, 50425, 50931, 70062, 51174, 50431, 50877, 60591, 50968, 51680, 50900, 51481, 50442, 50861, 51432, 50448, 50876, 51524, 50461, 50902, 52441, 55435, 52063, 55961, 54298, 56546, 51524, 58783, 53280, 50440, 50902, 52048, 50460, 50931, 53697, 56020, 51062, 51481, 50871, 53280, 50428, 50876, 52011, 50435, 50931, 51524, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15855, 2125, 19, 10, 25306, 619, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 9884, 4, 2595, 10312, 30, 10, 2352, 6757, 6, 13305, 6, 8, 32909, 6, 24, 30853, 23, 10, 7212, 20889, 11, 5, 762, 9, 12608, 538, 6, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 163, 428, 6, 272, 119, 6, 163, 428, 73, 597, 6, 12608, 119, 1176, 406, 6, 8, 230, 119, 3639, 3722, 5581, 7, 42, 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 ]	[ 56103, 50670, 50283, 51359, 60058, 51359, 56040, 58339, 60006, 54975, 50861, 60006, 69928, 55247, 50906, 69928, 64951, 50915, 50799, 50670, 50283, 51359, 60058, 51359, 56040, 58339, 60006, 54975, 50861, 60006, 69928, 55247, 52039, 73090, 66715, 50915, 75315, 51141, 50997, 51115, 50956, 51115, 50670, 50283, 51359, 60058, 51359, 50432, 52039, 74492, 64742, 53264, 52211, 70156, 66715, 55247, 52039, 73090, 66715, 50915, 75315, 51141, 50997, 51115, 50899, 51115, 50670, 50282, 51359, 65048, 51359, 50432, 52334, 74492, 59537, 53264, 52334, 73090, 61861, 55247, 52334, 73090, 61861, 50915, 50799, 53709, 51141, 50900, 51115, 58496, 51518, 54977, 51518, 50432, 53709, 62530, 53264, 52039, 70156, 66715, 55247, 51723, 62930, 58339, 50915, 69982, 50943, 57281, 50943, 67719, 51141, 50965, 51115, 73891, 50670, 50288, 51359, 57483, 51359, 50432, 51641, 60037, 57586, 53264, 51641, 62202, 59258, 55247, 51509, 62202, 59258, 50915, 65578, 58419, 69928, 50915, 69982, 51359, 57281, 51359, 50426, 51579, 58419, 69928, 54975, 51579, 58204, 69928, 56306, 51509, 52596, 51641, 55143, 60006, 57414, 51485, 50805, 63355, 51141, 50956, 51115, 69640, 58496, 51359, 54977, 51359, 50432, 52039, 61480, 53264, 52039, 62930, 55247, 52039, 62930, 50915, 50799, 52211, 51141, 51040, 51115, 74228, 65236, 51359, 58258, 51359, 50432, 52039, 75319, 53264, 52334, 78382, 55247, 53709, 70156, 50915, 50799, 52334, 51141, 50899, 51115, 69982, 51359, 57281, 51359, 50432, 52334, 57260, 53264, 53689, 50889, 52334, 73090, 55247, 52334, 73090, 61861, 50915, 75315, 51141, 50997, 51115, 50956, 51115, 50670, 50283, 51218, 60058, 51218, 50432, 52039, 74492, 64742, 50845, 50670, 50283, 50873, 60058, 54233, 52211, 70156, 66715, 50915, 50670, 50285, 50943, 56301, 56508, 52039, 73090, 66715, 50915, 50670, 50283, 50943, 60058, 50943, 75315, 51141, 50997, 51115, 50899, 51115, 50670, 50282, 51359, 65048, 51359, 50432, 52334, 57260, 53264, 52334, 62525, 55247, 52334, 62525, 50915, 50799, 53709, 51141, 50900, 51115, 58496, 51518, 54977, 51518, 50432, 53709, 62530, 53264, 52039, 70156, 66715, 55247, 51723, 62930, 58339, 50915, 69982, 50943, 57281, 50943, 67719, 62202, 59258, 50915, 50670, 50288, 51359, 57483, 51359, 50426, 51641, 62202, 59258, 54975, 51641, 62202, 59258, 55247, 51509, 62202, 59258, 50915, 65578, 58419, 69928, 50915, 69982, 51359, 57281, 51359, 50426, 51579, 58419, 69928, 54975, 51579, 58204, 69928, 56306, 51509, 52596, 51641, 55143, 60006, 57414, 51485, 50805, 63355, 62930, 58339, 50915, 58496, 51359, 54977, 51359, 50426, 52039, 62930, 54975, 52039, 62930, 55247, 51579, 58419, 69928, 50915, 65578, 51141, 50906, 51115, 51001, 51115, 69982, 51359, 57281, 51359, 50432, 51579, 58204, 68694, 53264, 51579, 58204, 69928, 56306, 51509, 52596, 51641, 55143, 60006, 57414, 51485, 50805, 63355, 62930, 58339, 50915, 58496, 51359, 54977, 51359, 50426, 52039, 62930, 54975, 52039, 62930, 55247, 51579, 58419, 69928, 50915, 65578, 58419, 69928, 50915, 69982, 51359, 57281, 51359, 50426, 51579, 58419, 69928, 54975, 51579, 58204, 69928, 56306, 51509, 52596, 51641, 55143, 60006, 57414, 51485, 50805, 63355, 62930, 58339, 50915, 58496, 51359, 54977, 51359, 50426, 51431, 62930, 58339, 54975, 51641, 57631, 59258, 55247, 51579, 58835, 69928, 50915, 50799, 52336, 65439, 64951, 50915, 69982, 51359, 57281, 51359, 50426, 52336, 65439, 64951, 54975, 51579, 58419, 69928, 55247, 51579, 58419, 69928, 50915, 67719, 51077, 50965, 51047, 68275, 69982, 51359, 57281, 51359, 50438, 51431, 51077, 50956, 51047, 50965, 51047, 67719, 51077, 69640, 50906, 51115, 60058, 51218, 58319, 61026, 50845, 60058, 54233, 50861, 60006, 50915, 60058, 50943, 56222, 60006, 50915, 60058, 50943, 57190, 51047, 68275, 51001, 51047, 60058, 64345, 52629, 51077, 51001, 51047, 51147, 51047, 60058, 51127, 50799, 52336, 51141, 51001, 51115, 50951, 51115, 60058, 51218, 50432, 51641, 55143, 61026, 50845, 60058, 54233, 51641, 57631, 60006, 50915, 60058, 56508, 52629, 65439, 51619, 50324, 50915, 60058, 50943, 51057, 52336, 51141, 51001, 51115, 50951, 51115, 60058, 78787, 51641, 55143, 61026, 50845, 67719, 51077, 50861, 59258, 50915, 58496, 51127, 54439, 59258, 54975, 50861, 60006, 50915, 69982, 51127, 50450, 51509, 60037, 68694, 53586, 51579, 58204, 68694, 50845, 50799, 52264, 58835, 69928, 50915, 50670, 50288, 57908, 51579, 58419, 69928, 50915, 50670, 50287, 56389, 51509, 62202, 59258, 50915, 50670, 50285, 56508, 51641, 57631, 60006, 50915, 50670, 50283, 50943, 64996, 51538, 50906, 51422, 50902, 51422, 69982, 51518, 50450, 51641, 62202, 59258, 50915, 50670, 50288, 50943, 67719, 51077, 69640, 50906, 51115, 60058, 51127, 58319, 61026, 53264, 52629, 51077, 51001, 51047, 51147, 51047, 60058, 51127, 50799, 52336, 51141, 51001, 51115, 50951, 51115, 60058, 51218, 50432, 51641, 55143, 61026, 50845, 60058, 54233, 51641, 57631, 60006, 50915, 60058, 56508, 52629, 65439, 51619, 50324, 50915, 60058, 50943, 51057, 52336, 51141, 51001, 51115, 50951, 51115, 60058, 78787, 51641, 55143, 61026, 50845, 67719, 51077, 50861, 59258, 50915, 58496, 51127, 54439, 59258, 54975, 50861, 60006, 50915, 69982, 51127, 50450, 51509, 60037, 68694, 53586, 51579, 58204, 68694, 50845, 50799, 52264, 58835, 69928, 50915, 50670, 50288, 57908, 51579, 58419, 69928, 50915, 50670, 50287, 56389, 51509, 62202, 59258, 50915, 50670, 50285, 56508, 51641, 57631, 60006, 50915, 50670, 50283, 50943, 64996, 51538, 50906, 51422, 50902, 51422, 69982, 51518, 50450, 51641, 62202, 59258, 50915, 50670, 50288, 50943, 67719, 51538, 69640, 50906, 51115, 50670, 50283, 52821, 60058, 52821, 58319, 61026, 53264, 50861, 60006, 55247, 50861, 60006, 50915, 56178, 51047, 65218, 50906, 69600, 51723, 50889, 69494, 50889, 60058, 74258, 56487, 53172, 57281, 53387, 56445, 53264, 54602, 53999, 57281, 53562, 51723, 50889, 56445, 53586, 56487, 50845, 63355, 50889, 60058, 74258, 57483, 53172, 51641, 50889, 54977, 53387, 55128, 53264, 52264, 50889, 56283, 53999, 54977, 53562, 51509, 50889, 55128, 53586, 54977, 50845, 65578, 50889, 60058, 74258, 57281, 53172, 55546, 53387, 56445, 53264, 54602, 53999, 57281, 53562, 51579, 50889, 56445, 53586, 56487, 50845, 51057, 51509, 50889, 56301, 70704, 54977, 53172, 51641, 50889, 57862, 53387, 54977, 50845, 64996, 51077, 69982, 74258, 56301, 53172, 57281, 53387, 55128, 53264, 52334, 51077, 55546, 53999, 55128, 53562, 57281, 53586, 55546, 50845, 51057, 52334, 51141, 50670, 50285, 70704, 57862, 53172, 56445, 53387, 52334, 50805, 54977, 50845, 50799, 52334, 51077, 69982, 74258, 56301, 53172, 55546, 53387, 56301, 53264, 55546, 69600, 52334, 50889, 75315, 51141, 51086, 51115, 50899, 51115, 74228, 56487, 51359, 50432, 52039, 50805, 51086, 59537, 59198, 53264, 52211, 51608, 50303, 61861, 58134, 55247, 52039, 51608, 50303, 61861, 58134, 50915, 63355, 51141, 50956, 51115, 69640, 58496, 51359, 50432, 52039, 61480, 53264, 52039, 62930, 55247, 52039, 62930, 50915, 50799, 51898, 51141, 51040, 51115, 78338, 69640, 57862, 51359, 50432, 51898, 75319, 61432, 57348, 53264, 51723, 78382, 60817, 58339, 55247, 51898, 78382, 60817, 58339, 50915, 64934, 51141, 74228, 68485, 65048, 51359, 50432, 51898, 57260, 59198, 53264, 51898, 62525, 58134, 55247, 51898, 62525, 58134, 50915, 50799, 52298, 62930, 68369, 58421, 50915, 50670 ]
[ 0, 250, 765, 6, 20425, 5175, 37903, 4246, 10, 15352, 30054, 13305, 483, 8, 10, 31391, 1672, 9590, 6, 278, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 24826, 198, 5, 40286, 12608, 119, 1176, 406, 6, 211, 6, 272, 119, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 51602, 50991, 51512, 53471, 51602, 50807, 51099, 52765, 51512, 52262, 71724, 51099, 52831, 51137, 50807, 51429, 52513, 51275, 52809, 51137, 50991, 51435, 52567, 51639, 50800, 54920, 76794, 51639, 53471, 51416, 51620, 51910, 50991, 51153, 53505, 51526, 51091, 51429, 53658, 51308, 51757, 51526, 58031, 51308, 52567, 51099, 50800, 55609, 50991, 51512, 53471, 51602, 50807, 51099, 52765, 51512, 52262, 71724, 51099, 52831, 51137, 50807, 51429, 52513, 51275, 52809, 51137, 50991, 51435, 52567, 51639, 50800, 54920, 76794, 51639, 53471, 51416, 51620, 51910, 50991, 51153, 53505, 51526, 51091, 51429, 53658, 51308, 51757, 51526, 58031, 51308, 52567, 51099, 50800, 55609, 50991, 51512, 53471, 51602, 50807, 51099, 52765, 51512, 52262, 71724, 51099, 52831, 51137, 50807, 51429, 52513, 51275, 52809, 51137, 50991, 51435, 52567, 51639, 50800, 54920, 76794, 51639, 53471, 51416, 51620, 51910, 50991, 51153, 53505, 51526, 51091, 51429, 53658, 51308, 51757, 51526, 58031, 51308, 52567, 51308, 50800, 55609, 50991, 51512, 53471, 51602, 50807, 51099, 52765, 51512, 52262, 71724, 51099, 52831, 51137, 50807, 51429, 52513, 51275, 52809, 51137, 50991, 51435, 52567, 51639, 50800, 54920, 76794, 51639, 53471, 51416, 51620, 51910, 50991, 51153, 53505, 51526, 51091, 51429, 53658, 51308, 51757, 51526, 58031, 51308, 52567, 51308, 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, 250, 3495, 2214, 19, 5175, 4785, 6, 42, 2125, 22750, 1626, 11098, 8, 657, 6, 19, 10, 11602, 9, 1619, 4780, 4, 20, 13305, 3315, 5, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 21979, 9590, 6, 21677, 32909, 6, 8, 3459, 8669, 4, 8504, 11, 83, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 2877, 6, 4246, 10, 33215, 13931, 9, 381, 406, 6, 1918, 406, 6, 8, 1918, 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 ]	[ 57211, 56807, 51008, 50965, 53131, 50318, 53130, 50290, 52136, 50997, 52598, 51261, 51029, 52255, 51204, 51838, 51172, 52137, 50978, 52735, 50987, 52457, 51562, 51935, 51071, 50886, 51718, 52272, 55180, 50951, 51775, 50902, 68470, 52256, 52036, 51158, 52430, 60054, 65072, 56133, 51889, 60811, 52626, 53466, 52225, 50879, 52137, 51058, 51784, 60727, 50886, 51718, 52272, 59833, 52735, 62109, 50931, 50864, 51261, 50823, 51838, 50800, 52036, 50905, 52186, 62314, 50366, 52272, 50375, 53047, 54077, 65555, 50916, 53130, 50311, 53130, 50289, 52256, 51027, 51447, 51216, 51059, 53100, 51318, 51615, 51419, 51711, 50795, 52225, 50873, 52376, 51047, 52404, 51071, 50886, 73375, 54465, 50876, 51576, 50916, 51961, 50861, 51961, 51863, 50805, 51838, 54732, 50366, 52272, 63155, 53718, 53794, 51656, 50873, 51711, 51058, 52355, 60344, 50886, 60163, 50381, 53047, 62356, 53828, 59960, 71532, 51216, 50860, 51615, 50849, 51863, 50838, 52278, 50974, 52095, 51071, 60359, 58693, 52886, 51313, 54868, 77918, 51637, 50916, 51449, 50877, 51671, 51389, 51072, 51881, 51359, 52033, 51313, 51656, 51359, 51711, 51151, 52714, 51445, 52457, 51313, 51935, 51071, 50904, 51715, 52051, 50381, 53047, 54657, 50804, 50370, 52051, 53910, 51270, 53901, 51216, 53694, 50904, 51190, 52272, 54854, 50899, 54829, 50804, 75613, 72615, 53891, 51273, 51009, 52404, 51071, 50886, 73375, 50855, 54141, 50368, 52272, 50864, 52612, 51128, 51382, 50864, 75859, 64647, 53211, 52095, 51071, 60359, 60135, 51769, 74509, 51321, 60863, 51065, 50835, 54868, 50837, 51389, 50823, 51935, 51071, 70922, 61141, 55180, 52861, 51631, 52387, 51736, 52213, 51646, 52280, 55700, 52213, 55178, 52387, 50865, 51236, 54583, 51273, 50803, 52861, 50865, 51236, 50890, 55435, 50863, 50899, 50863, 50916, 78662, 50863, 51214, 54171, 51026, 51922, 51098, 51029, 52387, 52218, 54332, 50904, 51718, 52268, 60033, 55180, 50997, 52598, 50899, 51490, 50916, 51447, 50861, 52783, 52387, 51605, 50804, 65072, 56133, 51889, 50857, 51302, 50886, 51718, 52268, 60033, 52810, 50804, 50366, 51259, 74767, 50375, 53047, 54077, 51493, 51072, 50705, 50294, 51003, 54108, 51097, 52404, 51071, 50886, 73375, 54465, 50997, 51961, 50804, 50366, 52272, 54915, 50899, 51852, 51098, 51072, 55327, 50943, 51900, 51330, 50804, 50886, 51190, 52268, 50371, 51613, 50381, 53047, 54232, 65313, 52095, 51071, 71016, 71402, 50840, 56310, 52081, 50305, 78178, 52666, 50311, 52081, 50289, 53588, 51216, 51009, 67751, 51945, 52549, 52916, 51577, 51071, 50904, 51715, 52268, 69416, 50380, 53047, 54657, 51027, 52256, 51040, 51490, 50916, 51447, 50861, 51447, 54227, 54416, 75309, 64371, 55754, 51236, 53383, 52861, 54416, 50904, 51190, 51259, 60033, 54860, 52387, 54416, 75613, 72615, 53891, 51493, 51072, 52213, 51650, 53988, 50886, 73375, 54840, 51027, 51679, 52387, 54416, 50368, 52268, 50369, 52272, 50864, 52612, 60801, 51040, 51852, 51216, 50860, 52861, 54416, 50864, 51715, 52268, 70672, 64647, 53211, 50877, 51376, 51493, 50823, 54227, 50865, 52095, 51071, 59295, 50371, 51613, 50836, 53975, 50863, 50899, 71357, 50863, 50877, 50837, 51120, 52598, 51273, 51009, 52861, 51036, 51577, 51071, 50904, 51718, 52268, 60033, 50890, 53502, 52263, 50871, 51878, 50899, 51447, 50877, 51447, 50804, 65072, 56133, 51889, 50857, 51302, 50886, 51718, 52268, 60033, 52810, 50804, 50366, 51259, 74767, 50375, 53047, 60633, 51027, 51490, 62145, 51072, 58707, 50915, 51784, 52011, 58046, 51750, 56122, 52878, 50900, 52256, 50804, 50366, 52272, 54915, 50871, 51642, 52419, 51072, 69579, 50943, 52355, 51466, 50804, 50886, 51190, 52268, 50371, 51613, 50381, 53047, 54232, 50877, 51079, 52095, 51071, 71016, 71402, 50840, 54868, 52263, 51086, 52783, 50899, 52168, 50871, 52783, 50877, 52783, 51273, 51009, 67093, 51605, 52824, 52528, 51577, 51071, 50904, 51715, 52268, 69416, 50380, 53047, 54657, 54091, 51626, 75309, 64371, 55754, 51236, 53383, 54227, 51626, 50904, 51190, 51259, 60033, 54860, 52861, 51626, 75613, 72615, 53891, 51027, 52598, 65206, 52387, 51650, 53988, 50886, 73375, 54840, 51086, 52441, 52861, 54416, 50368, 52268, 50369, 52272, 50864, 52612, 51128, 56279, 51645, 52419, 51072, 54227, 51626, 50864, 51715, 52268, 70672, 64647, 53211, 57810, 54091, 50865, 52095, 51071, 59295, 50371, 51613, 50836, 55435, 50870, 50899, 62710, 63484, 51954, 50287, 51748, 51026, 51748, 51098, 51009, 54227, 50830, 68445, 51359, 52186, 52727, 51577, 51071, 50904, 51718, 52268, 60033, 55180, 50997, 52263, 50899, 52263, 50916, 51314, 50861, 51314, 54227, 60114, 65072, 56133, 51889, 50857, 51302, 50886, 51718, 52268, 60033, 52810, 50804, 50366, 51259, 74767, 50375, 53047, 54077, 51273, 50824, 52404, 51071, 50886, 73375, 54465, 50997, 51679, 52861, 54416, 50366, 52272, 54915, 50899, 51576, 51098, 51072, 54227, 54416, 50886, 51190, 52268, 50371, 51613, 50381, 53047, 54232, 50861, 50904, 54091, 51650, 54472, 71016, 71402, 50840, 57542, 65789, 74825, 77157, 52081, 50296, 51671, 51493, 51009, 54227, 50800, 67093, 51307, 52824, 55490, 51577, 51071, 50904, 51715, 52268, 69416, 50380, 53047, 54657, 51086, 52263, 50899, 51314, 50916, 51314, 50965, 52980, 54227, 60114, 75309, 64371, 55754, 51236, 50857, 51302, 50904, 51190, 51259, 60033, 54860, 50804, 75613, 72615, 53891, 51668, 50824, 52404, 51071, 50886, 73375, 54840, 51086, 51330, 52861, 51626, 50368, 52268, 50369, 52272, 50864, 52612, 51128, 56279, 51645, 51493, 50802, 54227, 54416, 50864, 51715, 52268, 70672, 64647, 53211, 51086, 51123, 50965, 50912, 54091, 51650, 54472, 59295, 50371, 51613, 50836, 55547, 50891, 50916, 50863, 50877, 50863, 51028, 50870, 51027, 50941, 51216, 50811, 54227, 52382, 54246, 53345, 54332, 50904, 51718, 52268, 60033, 55180, 50916, 61324, 50837, 51279, 52386, 50301, 52386, 50317, 50941, 51216, 50803, 58505, 50862, 51898, 50857, 54246, 50813, 55066, 55924, 65072, 56133, 51889, 50857, 51302, 50886, 51718, 52268, 60033, 52810, 50916, 77112, 50870, 51279, 52386, 50301, 52386, 50317, 50941, 51216, 50803, 58505, 50867, 51898, 50864, 54246, 50857, 55066, 59392, 50366, 51259, 74767, 50375, 53047, 54077, 51234, 52386, 50302, 75868, 64237, 71608, 50904, 51261, 50811, 56033, 50813, 51723, 50886, 52714, 50857, 54641, 58011, 53988, 50886, 73375, 54465, 50906, 50863, 51234, 52386, 50302, 75770, 62774, 50941, 51261, 50803, 56033, 50813, 51723, 50886, 52714, 50874, 54641, 59606, 50366, 52272, 54915, 51085, 50870, 50900, 78662, 50870, 50876, 65567, 50904, 51150, 50803, 58053, 50813, 51431, 50886, 52278, 50827, 52832, 54965, 50886, 51190, 52268, 50371, 51613, 50381, 53047, 54232, 50997, 78226, 50863, 51234, 61582, 74197, 50904, 51261, 50803, 56033, 50867, 51723, 50864, 52714, 50851, 54641, 55503, 54472, 71016, 71402, 50840, 55547, 50912, 51027, 50907, 64385, 57472, 59950, 51216, 50803, 58505, 50862, 51898, 50857, 54246, 50822, 55066, 50844, 51652, 58011, 54332, 50904, 75859, 50381, 53047, 54657, 52861, 51631, 52387, 51736, 52213, 51646, 52280, 51918, 52213, 51798, 52387, 63977, 55370, 51273, 50823, 52861, 63977, 50840, 55435, 50863, 50899, 50863, 50916, 78662, 50863, 51214, 54171, 51026, 51922, 51098, 51029, 52387, 52218, 54332, 50904, 51718, 52268, 60033, 55180, 50997, 52598, 50899, 51490, 50916, 51447, 50861, 52783, 52387, 51605, 50804, 65072, 50857, 53327, 77716, 50857 ]
[ 0, 250, 15352, 30054, 11057, 2214, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 3459, 8669, 6, 1076, 560, 31365, 25999, 6, 21979, 9590, 6, 8, 21072, 4, 8504, 11, 274, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 12608, 6, 274, 119, 406, 6, 163, 43531, 6, 8, 12608, 401, 3639, 7, 63, 28339, 8, 1011, 625, 12, 3341, 13408, 6, 2351, 10, 32076, 5466, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50461, 51065, 50962, 50799, 53684, 51274, 51399, 51189, 51040, 51218, 50900, 65901, 51189, 54021, 51460, 50422, 51261, 50846, 57363, 54692, 53521, 53939, 53033, 51112, 50434, 51399, 51581, 50341, 52236, 50305, 64088, 53593, 50871, 77445, 56359, 51065, 52444, 52078, 51345, 57048, 67000, 54411, 51868, 66799, 58839, 51065, 56419, 51430, 50921, 50997, 51731, 50338, 69856, 59026, 51065, 50809, 68818, 50870, 51150, 50981, 50415, 52052, 50955, 50417, 51339, 50844, 50419, 51430, 57257, 51081, 57074, 51405, 51620, 53262, 67043, 55250, 53521, 68748, 51430, 66881, 51405, 51204, 51150, 57445, 53593, 50956, 73657, 56389, 51793, 51345, 51065, 52555, 51399, 51060, 51668, 78570, 67000, 56106, 59672, 51081, 53793, 51040, 62379, 68095, 57112, 50846, 54204, 51159, 51065, 54818, 51522, 72594, 54188, 54332, 58322, 52128, 50837, 51261, 54248, 52052, 55326, 52565, 53684, 52236, 50329, 50840, 51098, 51003, 51065, 58408, 51399, 50925, 53684, 64201, 52052, 56038, 50804, 53688, 53684, 51442, 50329, 50865, 51868, 51345, 50843, 54188, 71310, 51399, 51731, 50341, 74937, 62221, 70483, 55318, 53902, 51040, 50863, 60653, 51157, 51065, 53150, 51261, 59702, 67000, 52942, 52359, 51399, 58039, 51787, 56535, 51065, 52565, 51522, 51003, 51065, 57014, 51339, 50936, 50446, 51430, 54787, 50989, 62530, 64471, 55758, 51930, 69921, 64088, 52942, 60949, 51062, 51158, 50458, 51522, 57326, 50999, 63396, 50828, 60294, 51346, 51065, 54745, 51147, 50873, 50425, 51065, 53988, 57158, 53425, 51405, 51158, 50956, 51145, 50965, 51127, 51150, 51112, 77095, 75427, 51103, 72959, 53593, 51220, 59693, 51062, 51294, 68958, 51221, 51065, 50836, 57048, 53688, 51868, 72594, 67000, 66767, 51261, 54625, 51065, 50818, 60653, 51048, 51065, 60955, 50989, 61123, 65633, 52386, 50305, 50971, 57363, 53548, 51339, 50886, 51261, 51162, 50843, 67000, 59965, 51787, 52559, 51339, 57083, 51065, 58024, 51405, 52599, 51522, 51003, 51065, 59360, 51399, 65389, 51081, 70251, 75660, 50989, 52434, 50304, 50925, 71039, 50448, 79630, 57048, 67000, 55557, 53688, 51930, 51112, 50451, 50931, 60632, 51001, 52935, 51028, 62616, 51522, 69528, 61698, 50906, 50820, 54960, 64511, 78502, 50972, 51868, 51157, 51065, 57056, 50900, 59704, 62149, 50956, 60365, 67661, 66407, 50841, 50965, 50828, 57363, 57158, 67000, 53939, 51930, 51116, 50434, 51868, 55318, 58855, 51065, 53813, 51001, 60259, 50955, 50956, 78067, 50955, 51793, 51048, 50439, 50965, 62565, 75733, 65058, 50900, 63307, 73268, 61495, 50843, 67000, 54332, 53035, 51868, 51157, 59211, 54943, 51028, 56834, 51065, 50887, 57923, 50910, 51705, 50943, 50418, 51028, 56818, 51001, 79658, 62685, 52434, 50308, 50938, 59915, 54188, 53939, 53262, 72042, 59890, 51705, 55326, 56359, 51065, 55395, 51147, 50878, 50965, 50925, 51001, 50942, 70697, 51027, 50810, 51793, 51055, 50442, 51068, 63381, 50989, 50808, 51114, 50897, 50956, 64661, 51027, 54345, 61495, 51068, 54208, 51140, 51159, 50453, 51068, 59567, 50804, 71154, 50852, 50889, 54578, 51233, 50931, 51233, 51040, 51423, 50876, 51194, 50900, 51194, 51261, 50980, 51256, 50917, 51893, 69904, 51256, 53184, 51893, 52329, 51522, 51003, 51441, 51698, 63024, 51772, 51101, 52031, 51177, 50434, 51917, 50844, 51934, 52854, 59921, 50852, 55965, 67692, 51040, 50933, 59725, 51026, 60094, 50874, 51098, 51109, 51451, 51177, 51334, 51194, 50446, 51026, 50813, 51040, 61752, 50820, 51028, 64470, 54284, 52000, 51419, 51408, 72499, 51868, 51238, 51340, 51698, 63181, 51098, 51437, 50836, 53788, 51013, 50852, 67697, 51209, 51363, 51830, 51484, 68225, 69991, 66830, 50835, 50997, 52762, 51705, 51056, 50903, 53330, 65450, 52000, 51100, 51408, 51111, 50435, 51664, 51145, 51229, 72376, 53894, 50965, 65521, 61579, 51419, 50931, 75055, 51391, 51140, 78236, 55441, 51150, 51160, 70773, 50854, 52385, 50458, 51140, 50828, 51621, 50813, 54960, 75543, 51073, 51256, 51363, 52286, 62895, 67697, 67108, 51040, 50822, 58529, 50900, 52654, 51522, 51159, 51334, 57429, 50854, 51762, 50427, 51451, 51100, 50434, 51028, 76268, 51537, 50299, 61339, 60953, 50829, 51408, 51183, 52000, 69601, 59948, 50852, 56389, 51098, 55082, 51868, 51238, 51718, 51698, 63569, 51098, 51467, 59700, 50852, 50914, 58540, 50827, 50989, 69862, 64052, 50844, 51040, 50844, 51930, 51073, 50415, 51547, 51233, 52812, 75584, 51261, 51073, 51893, 51060, 50903, 52938, 65450, 51256, 70935, 50989, 51134, 50876, 51351, 50931, 51134, 50900, 64389, 56788, 51772, 51477, 52031, 51318, 50438, 51522, 78236, 75355, 51930, 51238, 50903, 53330, 62616, 51522, 50855, 51674, 62647, 57326, 54503, 51377, 50461, 51001, 51328, 50852, 50943, 57190, 51328, 50876, 63327, 60540, 73658, 50838, 51868, 51112, 50423, 51674, 50897, 54503, 57316, 51150, 51157, 51441, 51698, 63024, 51547, 50873, 53076, 51177, 50434, 50965, 51419, 50876, 51391, 50871, 51419, 51256, 56879, 56000, 50900, 51351, 51040, 51419, 51893, 58927, 51261, 51346, 50852, 73125, 51772, 51233, 52031, 51337, 50447, 51917, 51534, 51934, 73580, 51868, 51110, 51230, 51698, 63181, 51261, 54026, 51408, 51576, 52000, 79202, 50855, 60653, 51048, 50852, 51056, 50422, 72814, 51040, 50942, 66908, 50906, 65605, 51893, 69635, 55640, 51261, 51157, 51772, 51212, 52031, 51212, 50903, 52938, 60012, 50931, 50840, 55703, 56000, 51229, 51363, 51664, 52188, 50437, 50931, 51134, 50876, 51391, 50989, 51391, 50852, 51056, 55203, 51351, 51522, 51003, 50446, 51256, 50925, 51893, 70380, 52031, 72326, 51930, 51215, 51772, 51212, 50903, 50833, 52385, 50458, 51522, 53340, 57326, 51674, 52168, 53008, 51662, 57923, 52015, 50965, 66743, 51145, 50871, 51742, 50900, 51742, 50956, 52168, 51868, 51346, 50852, 50943, 50425, 50903, 53049, 51930, 58101, 60085, 51868, 51916, 59948, 50852, 67272, 51793, 51073, 50446, 52031, 51111, 50447, 51772, 68366, 51868, 71547, 52938, 63152, 51917, 50901, 51934, 73363, 50791, 50855, 55435, 68503, 50942, 50916, 52415, 50314, 50897, 51705, 75342, 69355, 51547, 50905, 52812, 51481, 50423, 51934, 50873, 51917, 63559, 53262, 51238, 50903, 52938, 62225, 51451, 50901, 51334, 50901, 64821, 59062, 51705, 59948, 50965, 66715, 51391, 51028, 51381, 50931, 50981, 50852, 55965, 51027, 50915, 51793, 51055, 50439, 52286, 51709, 51256, 72380, 51140, 67638, 52938, 50836, 55779, 59700, 50852, 50943, 54960, 51665, 50319, 52363, 50305, 52415, 50304, 65068, 50978, 51261, 51238, 50415, 51256, 51008, 51893, 60988, 51893, 50821, 51256, 56382, 51522, 50914, 51441, 51698, 63024, 52031, 50901, 51772, 51212, 50434, 51917, 50874, 51934, 52854, 59921, 50852, 56509, 51040, 52169, 50317, 51962, 50299, 50955, 50906, 50987, 51098, 50943, 51451, 70575, 56963, 51334, 51101, 50446, 51028, 78277, 50857, 51408, 51391, 50447, 51026, 72020, 60953, 50829, 52000, 72499, 51868, 50991, 51441, 51698, 63181, 51098, 51187, 50855, 55524, 79652, 60334, 78864, 50864, 51150, 51013, 51830, 51480, 50852, 69355, 51209, 73911, 51705, 51159, 51718, 51698, 63024, 52000, 51101, 51408, 74891, 50956, 74915, 67680, 51253, 50931, 72944, 56901, 56788, 51664, 51244, 51229, 51790, 60116, 51056, 50852, 57197, 51150, 51238, 51441, 51698, 63181, 51140, 50828, 51621, 50855, 54960, 51233, 51040, 51233, 50931, 51177, 51062, 51194, 50900, 57934, 51242, 51261, 51048, 50852, 69355, 51256, 51043, 52286, 51412, 50426, 51522, 51056, 51334, 51060, 50903 ]
[ 0, 250, 15352, 30054, 3495, 3152, 2214, 19, 10, 7212, 20889, 6, 278, 11, 5, 762, 9, 211, 3694, 8, 4246, 10, 204, 73, 306, 86, 6543, 4, 7219, 8, 21979, 29589, 6, 552, 19, 3459, 9590, 8, 17605, 9590, 6, 1045, 10, 20902, 8, 33558, 5466, 4, 20, 16331, 33215, 16739, 9, 211, 6, 1918, 6, 8, 274, 119, 1176, 406, 3639, 7, 5, 2214, 18, 17627, 17274, 8, 11653, 6711, 6, 442, 24, 10, 1969, 11739, 9, 11098, 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 ]	[ 56103, 51271, 52045, 52468, 74258, 51322, 51675, 50426, 51664, 51377, 50432, 51209, 51945, 50438, 51322, 78373, 51547, 51518, 50450, 51322, 51241, 50456, 51664, 51178, 50799, 52468, 51518, 50420, 51322, 68076, 51664, 78265, 51209, 51518, 50438, 52053, 50967, 51322, 65562, 51547, 51127, 50447, 51817, 59323, 51664, 58705, 66709, 52468, 50925, 54516, 51036, 54244, 51675, 50420, 52000, 78797, 52286, 78787, 51322, 51945, 50438, 52286, 51241, 50444, 53046, 58460, 54244, 58705, 52286, 51945, 54516, 50918, 54244, 53223, 52000, 78797, 51322, 79763, 51366, 51518, 50438, 52053, 50967, 52000, 71158, 51322, 50943, 50447, 51817, 58647, 52286, 51377, 50456, 51271, 50865, 54244, 50873, 56540, 51036, 52468, 51945, 50420, 51322, 78797, 51664, 51056, 50432, 51209, 51945, 50438, 51322, 51518, 50444, 51547, 51518, 50450, 51664, 58705, 52468, 51945, 56540, 51291, 50420, 51664, 68076, 51322, 71992, 51209, 51518, 50438, 52053, 50991, 51322, 51417, 50444, 51547, 51127, 50447, 51817, 58647, 51664, 58705, 66709, 52468, 50925, 54516, 51036, 54244, 51675, 50420, 52000, 78797, 52286, 51056, 50432, 51322, 51675, 50438, 52286, 51241, 50444, 52468, 58460, 54244, 51518, 50456, 52286, 51675, 53596, 51591, 52000, 51127, 50415, 51322, 51417, 52594, 52952, 50804, 52284, 63241, 50866, 57971, 50987, 60679, 50938, 68963, 50948, 51096, 51393, 50297, 69313, 50938, 62457, 59589, 50445, 51456, 52116, 57971, 50878, 60679, 50878, 63241, 50959, 68963, 50878, 51096, 50977, 51164, 50910, 51037, 50910, 74946, 50847, 56776, 50811, 53061, 52163, 63241, 50827, 57971, 50810, 68963, 50840, 60679, 50833, 51096, 50917, 51164, 50808, 63110, 50848, 59708, 67147, 50803, 50799, 57971, 50942, 63241, 50938, 68963, 50901, 60679, 51116, 51096, 50987, 51164, 50910, 51037, 50938, 56116, 74867, 71088, 53005, 67972, 64615, 51376, 50420, 61668, 51008, 59246, 50827, 69144, 51123, 70587, 62681, 73424, 58797, 50850, 51582, 63471, 64615, 53220, 59246, 53487, 61668, 53651, 60679, 54527, 69144, 54249, 50964, 53380, 50988, 53363, 50885, 53363, 50868, 53363, 50847, 53363, 50804, 52010, 64349, 53363, 50428, 64615, 53233, 51361, 50844, 51570, 50844, 51180, 50844, 51382, 52010, 50457, 50791, 50844, 67659, 76714, 77639, 53049, 51485, 53474, 60107, 51431, 76714, 50844, 51570, 53783, 63241, 50866, 57971, 50987, 68963, 50948, 51096, 51058, 51164, 69313, 50938, 62457, 59589, 51485, 72706, 60257, 71696, 60679, 57415, 57971, 50878, 63241, 50959, 60679, 50878, 51096, 50987, 51164, 50910, 51037, 50910, 74946, 50847, 56776, 52010, 50451, 68963, 58325, 63241, 50827, 57971, 50810, 68963, 50840, 51096, 50937, 51164, 50808, 63110, 50848, 50840, 57137, 51898, 72706, 62516, 60679, 52938, 50844, 50799, 57971, 50878, 63241, 50866, 68963, 50805, 60679, 50866, 51096, 50987, 51164, 50910, 51037, 50938, 56116, 59589, 71088, 53005, 67972, 64615, 51376, 50420, 61668, 50810, 69144, 50808, 60679, 50808, 70587, 50988, 50846, 56740, 58797, 57137, 58126, 52039, 51941, 50791, 63471, 64615, 50851, 59246, 52976, 59246, 53363, 61668, 53363, 50964, 53380, 50988, 53363, 50885, 53363, 50868, 53363, 50847, 53363, 50804, 52010, 50427, 69144, 54527, 60679, 54527, 50850, 53363, 50428, 64615, 53233, 51361, 50844, 51570, 50844, 51180, 50844, 51382, 52010, 50457, 50791, 50844, 67659, 55417, 53932, 51485, 60397, 50833, 51302, 60107, 51431, 75269, 50844, 51570, 53783, 57971, 50925, 60679, 50948, 63241, 50897, 51096, 51058, 51164, 50910, 51037, 50910, 74946, 59589, 51579, 72330, 64532, 71696, 68963, 68280, 51096, 50987, 51164, 50910, 51037, 50910, 74946, 50847, 56776, 52010, 50451, 57971, 50878, 63241, 50959, 60679, 50878, 68963, 58325, 63241, 50864, 57971, 50813, 51096, 50937, 51164, 50840, 51037, 61631, 50840, 57137, 51744, 51696, 50798, 62516, 68963, 50840, 60679, 52938, 50844, 50799, 63241, 50866, 57971, 50878, 51096, 50987, 51164, 50910, 51037, 69912, 51111, 74867, 71088, 53005, 67972, 68963, 51095, 60679, 51203, 64615, 51376, 50420, 70587, 56740, 58797, 57137, 50850, 51582, 63471, 61668, 50912, 69144, 50827, 60679, 50827, 64615, 65173, 59246, 64024, 50988, 53855, 59246, 53363, 61668, 53363, 50964, 53380, 50988, 53363, 50885, 53363, 50868, 53363, 50847, 53363, 50804, 52010, 50427, 69144, 54527, 60679, 54527, 50850, 53363, 50428, 64615, 53233, 51361, 50844, 51570, 50844, 51180, 50844, 51382, 52010, 50457, 50791, 50844, 67659, 55271, 53932, 51485, 71496, 50833, 51302, 60107, 51431, 76714, 50844, 51570, 53783, 57971, 50955, 63241, 50878, 60679, 50938, 68963, 50940, 51096, 51058, 51164, 50910, 51037, 50910, 74946, 59589, 51485, 72706, 53417, 54004, 57971, 50878, 63241, 50959, 68963, 50810, 60679, 50878, 51096, 50987, 51164, 50910, 51037, 50910, 55972, 50847, 56776, 59690, 57971, 50813, 63241, 50864, 68963, 50840, 60679, 50833, 51096, 50937, 51164, 50840, 51037, 61631, 50840, 57137, 51898, 72706, 62037, 50791, 50844, 50799, 57971, 50878, 60679, 51203, 63241, 50866, 51096, 50987, 51164, 50910, 51037, 69912, 51111, 74867, 71088, 53005, 67972, 68963, 51111, 64615, 51376, 50420, 59246, 51004, 61668, 50851, 69144, 50874, 70587, 50988, 50846, 56740, 58797, 57137, 58126, 52039, 52536, 50791, 63471, 60679, 50886, 64615, 53220, 59246, 53898, 61668, 53898, 69144, 53898, 50964, 53380, 50988, 53363, 50885, 53363, 50868, 53363, 50847, 53363, 50804, 52010, 50427, 60679, 53898, 50850, 53363, 50428, 64615, 53898, 51361, 50844, 51570, 50844, 51180, 50844, 51382, 52010, 50457, 50791, 50844, 67659, 55417, 53932, 51485, 60397, 50833, 51302, 60107, 51431, 71496, 50844, 51570, 53783, 59246, 51008, 69144, 50910, 50964, 51058, 50988, 50910, 73424, 66732, 59589, 51579, 72706, 56022, 71696, 61668, 50959, 60679, 57824, 59246, 56164, 50308, 78536, 50987, 62681, 56740, 58797, 50847, 56776, 52010, 50451, 61668, 50833, 60679, 59349, 59246, 50962, 69144, 50962, 61668, 51010, 50964, 50937, 50988, 62750, 60975, 59708, 50840, 52314, 53073, 50804, 57303, 60679, 52853, 50844, 50799, 54931, 51735, 63103, 51290, 68963, 51566, 50927, 51157, 51171, 50938, 67208, 73592, 62663, 60075, 55267, 50912, 50415, 60927, 51290, 64615, 51566, 50420, 51171, 50910, 67208, 50848, 74431, 62663, 61926, 54325, 54931, 51227, 63103, 51157, 68963, 51157, 50927, 51056, 51171, 50938, 67208, 62457, 50944, 62663, 52918, 52229, 60950, 60927, 51157, 64615, 51290, 50432, 51171, 50910, 67208, 73592, 62663, 51654, 54336, 56006, 54931, 50924, 63103, 50924, 68963, 50865, 71926, 51171, 50938, 67208, 62457, 50944, 62663, 53871, 52229, 50984, 50439, 60927, 50924, 64615, 60021, 54931, 51159, 63103, 51159, 68963, 51312, 60927, 51159, 64615, 51159, 50927, 50977, 51171, 50938, 67208, 73592, 56678, 54367, 56881, 50927, 50866, 51171, 50938, 67208, 73592, 56678, 52918, 52229, 52863, 54931, 51735, 63103, 51735, 60927, 51237, 64615, 51237, 68963, 51454, 50927, 51159, 51171, 59627, 64500, 50944, 56678, 53871, 63848, 50856, 50984, 58282, 50938, 67208, 62457, 50944, 60782, 53390, 55869, 69144, 51142, 54931, 50865, 63103, 50987, 64615, 50805, 68963, 50938, 66482, 51171, 50938, 67208, 62457, 66732, 50850, 51654, 55328, 54325, 54931, 51735, 63103, 51735, 64615, 51237, 69144, 51073, 68963, 51735, 50927, 51159, 51171, 50938, 67208, 62457, 50868, 62663, 52918, 52229, 52658, 51171, 50910, 50946, 50910, 74946, 80247, 50850, 53871, 54336, 56006, 54931 ]
[ 0, 250, 15855, 2125, 4246, 10, 326, 5638, 18026, 8, 6755, 12547, 6, 42, 765, 2214, 7630, 6568, 10, 25306, 5466, 19, 63, 2933, 8, 9066, 223, 34693, 4, 8504, 11, 5, 762, 9, 2060, 538, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 24, 26658, 149, 10, 33215, 13931, 9, 2060, 6, 12608, 6, 2060, 6, 8, 230, 10431, 6, 2351, 10, 1472, 9, 8556, 8, 800, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50420, 53542, 50854, 52377, 51101, 52316, 50854, 51375, 67175, 52701, 50866, 51702, 51542, 52377, 51381, 54006, 51318, 51794, 50866, 51154, 51542, 51375, 51381, 51488, 51318, 50432, 53542, 50854, 52316, 54181, 53456, 50808, 51887, 52711, 56760, 50854, 52377, 51178, 53599, 50854, 51375, 65504, 61979, 50844, 53542, 50897, 52377, 52441, 52194, 51419, 53397, 51115, 53623, 50844, 52316, 50897, 51375, 52441, 51093, 51419, 51395, 51115, 50456, 54461, 50810, 52481, 50810, 50799, 54864, 50810, 52143, 53066, 61979, 50813, 52377, 51177, 53623, 50813, 51375, 66010, 50708, 50281, 50813, 56760, 50862, 52377, 54344, 54006, 51363, 53192, 51003, 59472, 50813, 53599, 50862, 51375, 54344, 51488, 51363, 51201, 60307, 71021, 50862, 54461, 50855, 54480, 50862, 52481, 54431, 59221, 50886, 53456, 50846, 54006, 50905, 53192, 51253, 55504, 50915, 52907, 50886, 51887, 50846, 51488, 50905, 51201, 51253, 51629, 56306, 50708, 50281, 50855, 56760, 50836, 53084, 51337, 59472, 50855, 53599, 50836, 51357, 75926, 71197, 51194, 55870, 51110, 52178, 51775, 55495, 51312, 56476, 50981, 55472, 51194, 53148, 51110, 51165, 51775, 51600, 51312, 51394, 50981, 50799, 71197, 51177, 55870, 51100, 52178, 50932, 54006, 51312, 55495, 50995, 55472, 51177, 53148, 51100, 51165, 50932, 51488, 51312, 51600, 58187, 61979, 51101, 53542, 51121, 52377, 50955, 54006, 50959, 53192, 50917, 53623, 51101, 52316, 51121, 51375, 50955, 51488, 50959, 51201, 56504, 52377, 51411, 54006, 51380, 53192, 51377, 51375, 51411, 51488, 51380, 51201, 51377, 50438, 61979, 51043, 53542, 51178, 53623, 51043, 52316, 79959, 52377, 51058, 54006, 50978, 53192, 51177, 51375, 51058, 51488, 50978, 51201, 68366, 61979, 51101, 53542, 51178, 52698, 51534, 52194, 51480, 53397, 51253, 53623, 51101, 52316, 51178, 51491, 51534, 51093, 51480, 51395, 51253, 50799, 61979, 50905, 53542, 51121, 52698, 51199, 52194, 51312, 53397, 51267, 53623, 50905, 52316, 51121, 51491, 51199, 51093, 51312, 51395, 51267, 50426, 56760, 52015, 53542, 50901, 51702, 50905, 54006, 51448, 53599, 52015, 52316, 50901, 51154, 50905, 51488, 51448, 50432, 52339, 51233, 52698, 50987, 51638, 51233, 51491, 58346, 51947, 50845, 52377, 51481, 51299, 50845, 51375, 51481, 50444, 52339, 50845, 52698, 50974, 51638, 50845, 51491, 56697, 53542, 51423, 51702, 51542, 54006, 51381, 52316, 51423, 51154, 51542, 51488, 51381, 50799, 61979, 51576, 53542, 51363, 53623, 51576, 52316, 51363, 50420, 52377, 51337, 51375, 51337, 50426, 56760, 50892, 51702, 52011, 52377, 51961, 54006, 51318, 53599, 50892, 51154, 52011, 51375, 51961, 51488, 51318, 50432, 53542, 50955, 52316, 59577, 53456, 50840, 51887, 54400, 56760, 50810, 51702, 50955, 52377, 51043, 53599, 50810, 69363, 51375, 65029, 61979, 50955, 53542, 50977, 52377, 52441, 52194, 51381, 53397, 51318, 53623, 50955, 52316, 50977, 51375, 52441, 51093, 51381, 51395, 51318, 50456, 54461, 50810, 52481, 50810, 50799, 54864, 50844, 52143, 54351, 61979, 50810, 52377, 51101, 53623, 50810, 51375, 67175, 50708, 50281, 50844, 56760, 50855, 54006, 51480, 53192, 50915, 59472, 50844, 53599, 50855, 51488, 51480, 51201, 57173, 71021, 50854, 54461, 50836, 54480, 50854, 52481, 53574, 59221, 50833, 53456, 50840, 54006, 51642, 53192, 52056, 55504, 50995, 52907, 50833, 51887, 50840, 51488, 51642, 51201, 52056, 51629, 59791, 50708, 50281, 50812, 56760, 50836, 53084, 51006, 59472, 50812, 53599, 50836, 51357, 57299, 71197, 51178, 55870, 51095, 52178, 52188, 55495, 51380, 56476, 50981, 55472, 51178, 53148, 51095, 51165, 52188, 51600, 51380, 51394, 50981, 50799, 71197, 51177, 55870, 51095, 52178, 52378, 54006, 51484, 55495, 51391, 55472, 51177, 53148, 51095, 51165, 52378, 51488, 51484, 51600, 79648, 61979, 51043, 53542, 51255, 52377, 50912, 54006, 50907, 53192, 50937, 53623, 51043, 52316, 51255, 51375, 50912, 51488, 50907, 51201, 57356, 52377, 52034, 54006, 52034, 53192, 51267, 51375, 52034, 51488, 52034, 51201, 51267, 50438, 61979, 50892, 53542, 51121, 53623, 50892, 52316, 65562, 52377, 51470, 54006, 51254, 53192, 51101, 51375, 51470, 51488, 51254, 51201, 65295, 61979, 51233, 53542, 51255, 52698, 52034, 52194, 51852, 53397, 51312, 53623, 51233, 52316, 51255, 51491, 52034, 51093, 51852, 51395, 51312, 50799, 61979, 50978, 53542, 51221, 52698, 51645, 52194, 52034, 53397, 51003, 53623, 50978, 52316, 51221, 51491, 51645, 51093, 52034, 51395, 58299, 56760, 51939, 53542, 51101, 51702, 50838, 54006, 51448, 53599, 51939, 52316, 51101, 51154, 50838, 51488, 51448, 50432, 52339, 50978, 52698, 51277, 51638, 50978, 51491, 70351, 51947, 50845, 52377, 50972, 51299, 50845, 51375, 57997, 52339, 50892, 52698, 51006, 51638, 50892, 51491, 57299, 53542, 51267, 51702, 51480, 54006, 51097, 52316, 51267, 51154, 51480, 51488, 51097, 50799, 61979, 51043, 53542, 51178, 53623, 51043, 52316, 51178, 50420, 52377, 50955, 52194, 50938, 53397, 50940, 51375, 50955, 51093, 50938, 51395, 58216, 71021, 50940, 54461, 50821, 51866, 50938, 54006, 50849, 53397, 51167, 54480, 50940, 52481, 74567, 50938, 51488, 50849, 51395, 65744, 71021, 50800, 54461, 50930, 54480, 50800, 52481, 61023, 51866, 50820, 54006, 50855, 53397, 50890, 51088, 50820, 51488, 50855, 51395, 54957, 56760, 50921, 51866, 50857, 54006, 50812, 53397, 50808, 53599, 50921, 51088, 50857, 51488, 50812, 51395, 52711, 56108, 50830, 51866, 50854, 54006, 50810, 53397, 50940, 52602, 72069, 50854, 51488, 50810, 51395, 58631, 59160, 50940, 51866, 50937, 54006, 50937, 53397, 51192, 52776, 50940, 51088, 50937, 51488, 50937, 51395, 68179, 56108, 50940, 52602, 70143, 51866, 50841, 54006, 50855, 53397, 71247, 50841, 51488, 50855, 51395, 50836, 50799, 59160, 50940, 51866, 50854, 54006, 50833, 53397, 50910, 52776, 50940, 75351, 51488, 50833, 51395, 62714, 59221, 50859, 51866, 50862, 54006, 50812, 53397, 50952, 52907, 50859, 67274, 51488, 50812, 51395, 58798, 71021, 51235, 54461, 51160, 51866, 50833, 54006, 50925, 53397, 50924, 54480, 51235, 52481, 51160, 66589, 51488, 50925, 51395, 57943, 51866, 50844, 54006, 50878, 53397, 51100, 51088, 50844, 51488, 50878, 51395, 64967, 71021, 51235, 54461, 51227, 52377, 50925, 54006, 50959, 53192, 51111, 54480, 51235, 52481, 51227, 51375, 50925, 51488, 50959, 51201, 71492, 51866, 50942, 54006, 50959, 53572, 67583, 50942, 51488, 50959, 51266, 51798, 61979, 50830, 53542, 50821, 52377, 50981, 52194, 51391, 53397, 50914, 53623, 50830, 52316, 50821, 51375, 50981, 51093, 51391, 51395, 56934, 54461, 50821, 52481, 50821, 50799, 53542, 50821, 52316, 53113, 51968, 50859, 52377, 50878, 52194, 50813, 53397, 50924, 51426, 50859, 51375, 50878, 51093, 50813, 51395, 57316, 71021, 50858, 54461, 50858, 51866, 50901, 54006, 50873, 53397, 51167, 54480, 50858, 52481, 50858, 51088, 50901, 51488, 50873, 51395, 65744, 71021, 51033, 54461, 50821, 54480, 51033, 52481, 53660, 54006, 50813, 53397, 50846, 51488, 50813, 51395, 53442, 56760, 50940, 51866, 50844, 54006, 50833, 53397, 50830, 53599, 50940, 51088, 50844, 51488, 50833, 51395, 54630, 56108, 50830, 51866, 50844, 54006, 50878, 53397, 50808, 52602, 72069, 50844, 51488, 50878, 51395, 52741, 61979, 50921, 52377, 51124, 52194, 51025, 53397, 51073, 53623, 50921, 51375, 51124, 51093, 51025, 51395, 51073, 50456, 56108, 51033, 52602, 51033, 50799, 54864, 51033, 52377, 50836, 52194, 50810 ]
[ 0, 713, 17627, 17274, 3495, 2214, 6, 278, 11, 163, 538, 6, 1931, 21683, 10, 32076, 1619, 4780, 149, 63, 15352, 30054, 15229, 4, 20, 32909, 8, 1515, 21305, 483, 5, 169, 6, 2800, 30, 10, 6755, 12547, 6, 2382, 3459, 8669, 6, 8, 10, 11577, 20535, 2810, 4, 590, 10, 20889, 9, 13950, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 20425, 12447, 1001, 2877, 1328, 6, 4246, 10, 16331, 33215, 16739, 9, 381, 6, 274, 10431, 6, 8, 163, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 53028, 50880, 51544, 50886, 51570, 50886, 52320, 50886, 54798, 50905, 52473, 50855, 73293, 51167, 50422, 56177, 55640, 51205, 50905, 52473, 50813, 55308, 50918, 70658, 51205, 50974, 52473, 52800, 51205, 50892, 52473, 50855, 73293, 51215, 52105, 50458, 56177, 50878, 54798, 50905, 52473, 50855, 55308, 51110, 50422, 56177, 57629, 51205, 50905, 52473, 50813, 73293, 50914, 63709, 51205, 50905, 52473, 50813, 55308, 51215, 50446, 56177, 58460, 51205, 50892, 52473, 50855, 73293, 50914, 51931, 57268, 50835, 54798, 50892, 52473, 50855, 73293, 51167, 52148, 74039, 59013, 56177, 50897, 53084, 57629, 51205, 50905, 52473, 50813, 55308, 51103, 54006, 51103, 56270, 51205, 50905, 52473, 52800, 51205, 50905, 52473, 50855, 73293, 50967, 52148, 51178, 51931, 50458, 56177, 50925, 53084, 50942, 54798, 50892, 52473, 50855, 55308, 51095, 54006, 51178, 50422, 56177, 50897, 53084, 57629, 51205, 50905, 52473, 50813, 73293, 50807, 52148, 51003, 70658, 51205, 50905, 52473, 50813, 55308, 51215, 54006, 51194, 50446, 56177, 50925, 53084, 56060, 51205, 50905, 52473, 50855, 73293, 50889, 52148, 51003, 52105, 57268, 50837, 54798, 50905, 52473, 50855, 73293, 51215, 52148, 56937, 56868, 52061, 51167, 50422, 56177, 50878, 53084, 60988, 51641, 53244, 51205, 50905, 52473, 50813, 55308, 51336, 54006, 51103, 52105, 50427, 51744, 74814, 51205, 50905, 52473, 50813, 58837, 51196, 50439, 57929, 69562, 51205, 50892, 52473, 50855, 73293, 50967, 52148, 51178, 52105, 50451, 52061, 51167, 50458, 56177, 50897, 53084, 67419, 51641, 50910, 54798, 51535, 52473, 50855, 54541, 51077, 54006, 51127, 50415, 51744, 51336, 50426, 52646, 51079, 52473, 67049, 52904, 51205, 51749, 52473, 50813, 56117, 51103, 53084, 51127, 50439, 51641, 69562, 52646, 51074, 52473, 50379, 53323, 50870, 54798, 51397, 52473, 50855, 52541, 51127, 53084, 78034, 52264, 63492, 52646, 51079, 52473, 67049, 52904, 51205, 51535, 52473, 50813, 53780, 51127, 52148, 74449, 52314, 69562, 52646, 50972, 52473, 50379, 53323, 50837, 57268, 50835, 53400, 50974, 52159, 51000, 51595, 53933, 57829, 51208, 50952, 51403, 50952, 52828, 58798, 51019, 50974, 52159, 51000, 51595, 50855, 52105, 50427, 51208, 50925, 51403, 50925, 52828, 50925, 56903, 51381, 52159, 51297, 51595, 50886, 53320, 78587, 52155, 58332, 52159, 51128, 51595, 50813, 52202, 50921, 52105, 50458, 52202, 52069, 53400, 51381, 52159, 51000, 51595, 52524, 52159, 51000, 51595, 51559, 53040, 51019, 51381, 52159, 51000, 51595, 52800, 52159, 51000, 51595, 51559, 57029, 51019, 51051, 51224, 50870, 53534, 50838, 51282, 51851, 51495, 70863, 55614, 51385, 50952, 51403, 50952, 52110, 58798, 51011, 50972, 51282, 51128, 51495, 50857, 51471, 50427, 51385, 50910, 51403, 50910, 52110, 56983, 51011, 51679, 51282, 51297, 51495, 50813, 54027, 78587, 53320, 55620, 51282, 51128, 51495, 50813, 52155, 50901, 51931, 50458, 52155, 69561, 50829, 53534, 51381, 51282, 51128, 51495, 53309, 53087, 51282, 51297, 51495, 50857, 52155, 50910, 52105, 50434, 53320, 56509, 51011, 51381, 51282, 51128, 51495, 58171, 54027, 53562, 51282, 50941, 51495, 50855, 52105, 50458, 51011, 51051, 51224, 50837, 53400, 50974, 52159, 51000, 51595, 70863, 55614, 51208, 50940, 51403, 50940, 52828, 58216, 51019, 50974, 52159, 51128, 51595, 50886, 52105, 50427, 51208, 50897, 51403, 50897, 52828, 56057, 51019, 51679, 52159, 51297, 51595, 50855, 54120, 51215, 50446, 54027, 58332, 52159, 51000, 51595, 50857, 53320, 50959, 52105, 50458, 53320, 51391, 50801, 50829, 53400, 51961, 52159, 51128, 51595, 53309, 53087, 52159, 51000, 51595, 50886, 53320, 50879, 51931, 56903, 51679, 52159, 50941, 51595, 50813, 54027, 51215, 50446, 54120, 55125, 52159, 51000, 51595, 50886, 51931, 50458, 51019, 51365, 65938, 52919, 54798, 50901, 52473, 50941, 51595, 52524, 51205, 50892, 52473, 50941, 51595, 50813, 56270, 51205, 50838, 52473, 51128, 51595, 52800, 51205, 50974, 52473, 51000, 51595, 50886, 51931, 54798, 50905, 52473, 51000, 51595, 52524, 51205, 50901, 52473, 51000, 51595, 51559, 52950, 51205, 50901, 52473, 51000, 51595, 60812, 53344, 58248, 51205, 50905, 52473, 50941, 51595, 50857, 52105, 50458, 53344, 50955, 51224, 50870, 53400, 50974, 52159, 50912, 51595, 50800, 52541, 51717, 52377, 52337, 51224, 55614, 51208, 50952, 51403, 50952, 52828, 50952, 52298, 51717, 50426, 51019, 50974, 52159, 50912, 51595, 51049, 56344, 51208, 50925, 51403, 50925, 52828, 50925, 56903, 51381, 52159, 51123, 51595, 50810, 53320, 75577, 52155, 56060, 52159, 50907, 51595, 50812, 52202, 50849, 52105, 50458, 52202, 51591, 50801, 50829, 53400, 51381, 52159, 50912, 51595, 53097, 53087, 52159, 50912, 51595, 51420, 53040, 51019, 51381, 52159, 50912, 51595, 52848, 52159, 50912, 51595, 51420, 57029, 51019, 51051, 51224, 50837, 53534, 50838, 51282, 51022, 51495, 50812, 52196, 52149, 52148, 52337, 51224, 55614, 51385, 50952, 51403, 50952, 52110, 50952, 52061, 51717, 50426, 51011, 50972, 51282, 50907, 51495, 50854, 51471, 50427, 51385, 50910, 51403, 50910, 52110, 56983, 51011, 51679, 51282, 51123, 51495, 50812, 54027, 78587, 53320, 58248, 51282, 50907, 51495, 50812, 52155, 50897, 51931, 50458, 52155, 69561, 50829, 53534, 51381, 51282, 50907, 51495, 53097, 53087, 51282, 51123, 51495, 50854, 52155, 50849, 52105, 50434, 53320, 56509, 51011, 51381, 51282, 50907, 51495, 61094, 54027, 72326, 69211, 51495, 51049, 58472, 51011, 51051, 51224, 50837, 53400, 50974, 52159, 50912, 51595, 50812, 52541, 51717, 52377, 52829, 51224, 55614, 51208, 50940, 51403, 50940, 52828, 50940, 52298, 51717, 50426, 51019, 50974, 52159, 50907, 51595, 51373, 56344, 51208, 50897, 51403, 50897, 52828, 56057, 51019, 51679, 52159, 51123, 51595, 50800, 54120, 51215, 50446, 54027, 58248, 52159, 50912, 51595, 50854, 53320, 50905, 52105, 50458, 53320, 58435, 50829, 53400, 51961, 52159, 50907, 51595, 53097, 53087, 52159, 50912, 51595, 50810, 53320, 51233, 51931, 56903, 51679, 52159, 50827, 51595, 50812, 54027, 55441, 52159, 50912, 51595, 50810, 54120, 50892, 51931, 50458, 51019, 51365, 54027, 53753, 50801, 50825, 54798, 50901, 52473, 50827, 51595, 50812, 53780, 52121, 52698, 51801, 50801, 53855, 51205, 50892, 52473, 50827, 51595, 53097, 51239, 52766, 51205, 50838, 52473, 50907, 51595, 53097, 53533, 51205, 50974, 52473, 50912, 51595, 53095, 78796, 54798, 50959, 52473, 50912, 51595, 53097, 60170, 51205, 57630, 51011, 50995, 52473, 50912, 51595, 53097, 51239, 52950, 51325, 51233, 52473, 50912, 51595, 54312, 59484, 51213, 60333, 51205, 51233, 52473, 50827, 51595, 54312, 51187, 58472, 51228, 50959, 53400, 51333, 52033, 52096, 52255, 52121, 52187, 52250, 64234, 53237, 64565, 51089, 51112, 51281, 51112, 51208, 68586, 51817, 52011, 51281, 51226, 51208, 51362, 52202, 54300, 50903, 52942, 53237, 68713, 51089, 51025, 51281, 51025, 51208, 51025, 56903, 51079, 64234, 53390, 64481, 51089, 51377, 51281, 51377, 51208, 51377, 50446, 51019, 52179, 50801, 53528, 51595, 55514, 51817, 52482, 51281, 51362, 51208, 51294, 50903, 52942, 53390, 65392, 51089, 51400, 51281, 51400, 51208, 51400, 50458, 51019, 51365, 50801, 56046, 51595, 50933, 53400, 52025, 64234, 53237, 64565, 51089, 51025, 51281, 51025, 51208, 58193, 51817, 52397, 51281, 51294, 51208, 51294, 50903, 52942, 53237, 68713, 51089, 51576, 51281, 51576, 51208, 51576, 56903, 51166, 64234 ]
[ 0, 250, 19448, 8, 11653, 1365, 6288, 5175, 2214, 4246, 10, 13305, 483, 7513, 30, 18558, 10, 25118, 6, 3459, 8669, 6, 21072, 6, 8, 3459, 9590, 4, 85, 34, 10, 2365, 8, 33558, 619, 6, 10686, 13, 1619, 4, 20, 1349, 16, 11, 274, 538, 6, 34, 10, 7212, 20889, 9, 6560, 741, 1685, 6, 8, 16, 11, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 53596, 52149, 50801, 66990, 51234, 51310, 50899, 51627, 50871, 51637, 50902, 51397, 51436, 51486, 54099, 51801, 52123, 52337, 51783, 52204, 51722, 52096, 50415, 51262, 51714, 51543, 51452, 53075, 51745, 51414, 51653, 51457, 51653, 51825, 51653, 50417, 51383, 50367, 54395, 66817, 72006, 53327, 61918, 57798, 50812, 52447, 50865, 51414, 50950, 51457, 50950, 51825, 50950, 51302, 67020, 65355, 50427, 51414, 51653, 51457, 51653, 51825, 51505, 50429, 51383, 50367, 54395, 62382, 61918, 55641, 50812, 51247, 51241, 52447, 51346, 50435, 51383, 65355, 51414, 50950, 51457, 50950, 51825, 50950, 53550, 74931, 72006, 50439, 51414, 51237, 51457, 51237, 51825, 51237, 50441, 51383, 65355, 50444, 51383, 72006, 50902, 51124, 52612, 61918, 55641, 50812, 52447, 55758, 51383, 50365, 52080, 50451, 56698, 51745, 51457, 51237, 51825, 51745, 52932, 51237, 50453, 51383, 50367, 54395, 56871, 61918, 54167, 52447, 59934, 51383, 50367, 54395, 52447, 51126, 51755, 66990, 50906, 51448, 50902, 51397, 51081, 51417, 52447, 77921, 53075, 53174, 51327, 51237, 51980, 51237, 53001, 51745, 50417, 51383, 50367, 54395, 50871, 51637, 66817, 72006, 53327, 61918, 57798, 50812, 52447, 61408, 67020, 65355, 50427, 51651, 51237, 51327, 51237, 51980, 51237, 50429, 51383, 50367, 54395, 62382, 61918, 55641, 50812, 52447, 62369, 51383, 65355, 53550, 74931, 72006, 50439, 51687, 51237, 51651, 51237, 51327, 51237, 50441, 51383, 65355, 50444, 51383, 72006, 50902, 51734, 50330, 51112, 52612, 61918, 55641, 50812, 52447, 57006, 51383, 50365, 52080, 50451, 56698, 51745, 51476, 51745, 51687, 51745, 51651, 51237, 50453, 51383, 50367, 54395, 51081, 52863, 50804, 61918, 54167, 52447, 56249, 51383, 50367, 54395, 52447, 50810, 53596, 52149, 50801, 66990, 50876, 51283, 50902, 51295, 51234, 53454, 50906, 51283, 50931, 51397, 52447, 51242, 54099, 51801, 52123, 52337, 51783, 52204, 51722, 52096, 50415, 53075, 53174, 51672, 51237, 51457, 51237, 51981, 51745, 50417, 51383, 50367, 54395, 66817, 72006, 53327, 61918, 57798, 50812, 51050, 52644, 52447, 50830, 51302, 67020, 65355, 50427, 51231, 51237, 51672, 51237, 51457, 51745, 50429, 51383, 50367, 54395, 62382, 61918, 55641, 75161, 53380, 52447, 51346, 50435, 51383, 65355, 53550, 74931, 72006, 50439, 51410, 51237, 51231, 51237, 51672, 51745, 50441, 51383, 65355, 50444, 51383, 72006, 50445, 50931, 51194, 52612, 61918, 55641, 50812, 52447, 55758, 51383, 50365, 52080, 50451, 56698, 51237, 52571, 51237, 51410, 51237, 51231, 51237, 50453, 51383, 50367, 54395, 51081, 54319, 50804, 61918, 54167, 52447, 59934, 51383, 50367, 54395, 52447, 50941, 51755, 66990, 51081, 51538, 51146, 51486, 52447, 50901, 50415, 51339, 51518, 51062, 51591, 56698, 52379, 53075, 52379, 51687, 51237, 51231, 51237, 51327, 51745, 50417, 51383, 50367, 54395, 66817, 72006, 53327, 61918, 57798, 50812, 52447, 61408, 67020, 65355, 50427, 52326, 51505, 51687, 51932, 51231, 51237, 50429, 51383, 50367, 54395, 62382, 61918, 55641, 50812, 52447, 50807, 50433, 52303, 75828, 51383, 65355, 53550, 65442, 72006, 50439, 52571, 51237, 51687, 51237, 51651, 51237, 50441, 51383, 65355, 54141, 67713, 72006, 50447, 51270, 55641, 50812, 52447, 50844, 51382, 67713, 50365, 52080, 51146, 51025, 52447, 64847, 51476, 51237, 51687, 51237, 51249, 51237, 53061, 67020, 50367, 54395, 51081, 51043, 52447, 52863, 50804, 68671, 54167, 52447, 50840, 52198, 67020, 50367, 54395, 52447, 50810, 54516, 52500, 51976, 55456, 75161, 51307, 50899, 51307, 50871, 51353, 50906, 51264, 51436, 51991, 78744, 51449, 52123, 51445, 51783, 51445, 51722, 51151, 51612, 51307, 52037, 51293, 50415, 51262, 51945, 51543, 51359, 55285, 51745, 51414, 52379, 50416, 51630, 51945, 54519, 74931, 50372, 52492, 66817, 50372, 52492, 53327, 58848, 63033, 52447, 50924, 51768, 53497, 65442, 59210, 50427, 51410, 51237, 51303, 51237, 50429, 51383, 50372, 52492, 53782, 51907, 68671, 53189, 50822, 52447, 51112, 50435, 51383, 59210, 51658, 51907, 65442, 50372, 52492, 50439, 56698, 51745, 50441, 51383, 59210, 50444, 51383, 50372, 52492, 52612, 68671, 63033, 52447, 57415, 50801, 55023, 66217, 59210, 50451, 51410, 51745, 51303, 51745, 50453, 51383, 50372, 52492, 50456, 50945, 53119, 68671, 50377, 52492, 52447, 57187, 51186, 50378, 52492, 52447, 50971, 55563, 52536, 50801, 52153, 72528, 51115, 50956, 51115, 52046, 60556, 50983, 52007, 51233, 50703, 50288, 51449, 52679, 51445, 52623, 51445, 51986, 51151, 51567, 51307, 52184, 51293, 50415, 51503, 51480, 55285, 51653, 51476, 51653, 51687, 51653, 51651, 51653, 54519, 50371, 52638, 73341, 51039, 67713, 73341, 53327, 50374, 51937, 55355, 50822, 55821, 50924, 51476, 50950, 51687, 50950, 51651, 50950, 79548, 50833, 75273, 50371, 52492, 51476, 51653, 51687, 51653, 50427, 51651, 74514, 51383, 73341, 50432, 52219, 51002, 50833, 51340, 51937, 56474, 50822, 55821, 62803, 51383, 50371, 52492, 51476, 50950, 51687, 50950, 51651, 50950, 51658, 53474, 50810, 75273, 73341, 55821, 51221, 50439, 56698, 51745, 51476, 51237, 51687, 51237, 51651, 51237, 50441, 51383, 50371, 52492, 51180, 67713, 73341, 50965, 51603, 52612, 74411, 50376, 52492, 52191, 57415, 52219, 51002, 56823, 60322, 58290, 65442, 67224, 67447, 51687, 51745, 51651, 51745, 51327, 51745, 53061, 67020, 73341, 52191, 53920, 51105, 54617, 50833, 51340, 51937, 50379, 52492, 52007, 56132, 51105, 52501, 50907, 52191, 50857, 54516, 52500, 51976, 50858, 51234, 51397, 50899, 51413, 50906, 51448, 51436, 51307, 78744, 51449, 52123, 51445, 51783, 51445, 51722, 51151, 51612, 51307, 52037, 51293, 65882, 51417, 50902, 51472, 51262, 51353, 51543, 51307, 55285, 51745, 51414, 52379, 50416, 51630, 51036, 54519, 50371, 52638, 73341, 51039, 67713, 73341, 53327, 50374, 51937, 55355, 50822, 52447, 50830, 51302, 50833, 75273, 50371, 52492, 50427, 51410, 51745, 51303, 51745, 50429, 51383, 73341, 53782, 51907, 50833, 51340, 51937, 56474, 50822, 52447, 71700, 51383, 50371, 52492, 51658, 51907, 50833, 75273, 73341, 50439, 56698, 51745, 50441, 51383, 50371, 52492, 51180, 67713, 73341, 50902, 51215, 52612, 74411, 55355, 53140, 50801, 55023, 50950, 75273, 50371, 52492, 50906, 51158, 50451, 51410, 51745, 51303, 51745, 50453, 51383, 73341, 50456, 50945, 53119, 50833, 51340, 51937, 50379, 52492, 50871, 54678, 51186, 50378, 52492, 51425, 50862, 55563, 52500, 50801, 75940, 52046, 51307, 51503, 51353, 50900, 51151, 50965, 51655, 55821, 51212, 50703, 50288, 51449, 52679, 51445, 52623, 51445, 51986, 51151, 51567, 51307, 52184, 51293, 76301, 51655, 55285, 51505, 51687, 51653, 51651, 51653, 51327, 51653, 50417, 51383, 73341, 51039, 67713, 73341, 53327, 50374, 51937, 55355, 50822, 55821, 50924, 51687, 50950, 51651, 50950, 51327, 50950, 79548, 50833, 75273, 50371, 52492, 50427, 51687, 51653, 51651, 51505, 51327, 51653, 50429, 51383, 73341, 50432, 52219, 51002, 50833, 51340, 51937, 56474, 50822, 55821, 51112, 50435, 51383, 50371, 52492, 51687, 50950, 51651, 50950, 51327, 50950, 51658, 53474, 50810, 75273, 73341, 50439, 56698, 51745, 51687, 51745, 51651, 51237, 51327, 51237, 50441, 51383, 50371, 52492, 51180, 67713, 73341, 52612, 74411, 50376, 52492, 55821, 57415, 52219, 51002, 56823, 60322, 58290, 65442, 67224, 67447, 51651, 51237, 51327, 51237, 51980 ]
[ 0, 4688, 17627, 17274, 5175, 3495, 2214, 4246, 10, 13305, 483, 7513, 30, 21979, 8669, 6, 3459, 9590, 6, 21072, 6, 8, 10, 6755, 12547, 4, 590, 10, 1769, 20889, 9, 17072, 163, 5683, 8, 278, 11, 5, 762, 9, 83, 3694, 6, 5, 2214, 29769, 198, 5, 1918, 8, 3676, 40286, 6, 19983, 1328, 5, 2125, 4, 20, 15352, 30054, 15229, 7630, 6568, 10, 33558, 8, 11653, 6711, 6, 442, 24, 10686, 13, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 50799, 52013, 52329, 52013, 52444, 51088, 68267, 50976, 63615, 50847, 50824, 51439, 53694, 54952, 51113, 50860, 51284, 50802, 51011, 61182, 51029, 51649, 57520, 52175, 51088, 50976, 51182, 50860, 63615, 50847, 50824, 51439, 53694, 54712, 51251, 50860, 51107, 60589, 50976, 50848, 67276, 55877, 50802, 70564, 52737, 51186, 65240, 51732, 51863, 53073, 51838, 51717, 52036, 51732, 50415, 51271, 75816, 51732, 50906, 51732, 50848, 64443, 63073, 65413, 50805, 51257, 61940, 57639, 54892, 79840, 50872, 50976, 50939, 51379, 50421, 50852, 56667, 51037, 51907, 51739, 54151, 51186, 59299, 61604, 65983, 57169, 51156, 54968, 51186, 67550, 53243, 51052, 57736, 51186, 50976, 50848, 57045, 57833, 51331, 55245, 51037, 52997, 51739, 56354, 51186, 50824, 75061, 59978, 53417, 50949, 62870, 53558, 51156, 57188, 51186, 56304, 51060, 50872, 51192, 50939, 51060, 61797, 56667, 51037, 52997, 51739, 55736, 51186, 63690, 61604, 62507, 69988, 59284, 54968, 51182, 50802, 51926, 60011, 50860, 51037, 52651, 51156, 57736, 51284, 50976, 52487, 50976, 50445, 51011, 63690, 66307, 58265, 51156, 55245, 51182, 50802, 51926, 50860, 63615, 50451, 50848, 61604, 67217, 51812, 52374, 56354, 51107, 50976, 51384, 50802, 55952, 51037, 50830, 51224, 67239, 50852, 50949, 70564, 52737, 51690, 52737, 50927, 53177, 50306, 51732, 51743, 51732, 51656, 53501, 65882, 51732, 50877, 60130, 50872, 56754, 50961, 51007, 54441, 50898, 54892, 76067, 50850, 51286, 51007, 58415, 56667, 50848, 54627, 51739, 55736, 50927, 55868, 56263, 64579, 55855, 51156, 54968, 62664, 50848, 55024, 51156, 57736, 51019, 50975, 50872, 53006, 50924, 51007, 52964, 55245, 50848, 54092, 51739, 56354, 63167, 50872, 56678, 58691, 51007, 51370, 50949, 52354, 63690, 55024, 51156, 57188, 78345, 50872, 56244, 50802, 51007, 51575, 55229, 50848, 54092, 51739, 55736, 62890, 50872, 51158, 50850, 51388, 51007, 51158, 59284, 54968, 51182, 50976, 51926, 50976, 63615, 50848, 54441, 51052, 57736, 51284, 50976, 52487, 50976, 63616, 50872, 64960, 78132, 61189, 50791, 56604, 51182, 50976, 51926, 50860, 63615, 50872, 50806, 50451, 50850, 51021, 51007, 55020, 52374, 56354, 51107, 50976, 51384, 50976, 55952, 50848, 76336, 50852, 50949, 70564, 52737, 51690, 52737, 51186, 50824, 51881, 53002, 51863, 52570, 50415, 50906, 51732, 50902, 51732, 50931, 51732, 50848, 61671, 62690, 55461, 50898, 54892, 50848, 51060, 50872, 51060, 50939, 50976, 61797, 55229, 51037, 52467, 52374, 55736, 51186, 50860, 59379, 50872, 50936, 76789, 50433, 59284, 54968, 51186, 50823, 51037, 53672, 51156, 57736, 51186, 50976, 59379, 50872, 51021, 50939, 56832, 55245, 51037, 53497, 51739, 56354, 51186, 58173, 50865, 50872, 50921, 50939, 53538, 50949, 62870, 54452, 51156, 57188, 51186, 50976, 50848, 75647, 50936, 50939, 56832, 55229, 51037, 54092, 52374, 55736, 51186, 67072, 57045, 62507, 56795, 51156, 54968, 51182, 50860, 51926, 50860, 63615, 51037, 55024, 59071, 50791, 57736, 51284, 50976, 52487, 50976, 63616, 50848, 64733, 50872, 58243, 67131, 51421, 55245, 51182, 50975, 51926, 50860, 50953, 63690, 75647, 51030, 50939, 50924, 57688, 52374, 56354, 51107, 50802, 51384, 50976, 55952, 51037, 68024, 50962, 70564, 51184, 51690, 51184, 62644, 51656, 73010, 51120, 51184, 51027, 51184, 50899, 51184, 50871, 51184, 50872, 59588, 79368, 52773, 51156, 54892, 50872, 53006, 50936, 51007, 52964, 56667, 51096, 60660, 51907, 52374, 55736, 50927, 55868, 50830, 57263, 51007, 55236, 51156, 50962, 53758, 58173, 53703, 51156, 57736, 50872, 62663, 51021, 51007, 53538, 56604, 50848, 51779, 52374, 62172, 50927, 54622, 51026, 51449, 50868, 52500, 50847, 52392, 50909, 52392, 50457, 50791, 57841, 50900, 51605, 73296, 51795, 51733, 51795, 50964, 51184, 52033, 51264, 51615, 51696, 51711, 51714, 50415, 51085, 53142, 50916, 51795, 50885, 51518, 59284, 50962, 52906, 50962, 51302, 51739, 50949, 53782, 72064, 50811, 51382, 50894, 52288, 53531, 50301, 51732, 50899, 51732, 50871, 51732, 51881, 52204, 51656, 52204, 51838, 52204, 52036, 52204, 76750, 59080, 74779, 52750, 52885, 54892, 50872, 50976, 79491, 51007, 54589, 55229, 77040, 51997, 51907, 51739, 54151, 50927, 50854, 50872, 50976, 79491, 51007, 50976, 58074, 64821, 50949, 53758, 51016, 50848, 50803, 51707, 52218, 57512, 50791, 54586, 50872, 50976, 50850, 50802, 51007, 50976, 51997, 51049, 55245, 50848, 51779, 51739, 54210, 62816, 50872, 50976, 79491, 51007, 50976, 51997, 51421, 50949, 57342, 50823, 51479, 54892, 50927, 54891, 50976, 79491, 51007, 54589, 55229, 50848, 50803, 51997, 51907, 52374, 54151, 68755, 50872, 50976, 50850, 50802, 51007, 59786, 51479, 50949, 53758, 51016, 50848, 50802, 51707, 50830, 51479, 54586, 57386, 57263, 63921, 51997, 51049, 55245, 50872, 50976, 79491, 51007, 57432, 50894, 61695, 54210, 61674, 50848, 50803, 51997, 52227, 50949, 53534, 66822, 51732, 50916, 51732, 53389, 52204, 51711, 50837, 52225, 52204, 50868, 58320, 50850, 64622, 52750, 50898, 54892, 50868, 50975, 79491, 77924, 51707, 51421, 55229, 51011, 50949, 50946, 50803, 51997, 50830, 57773, 52374, 54151, 51011, 58581, 56491, 50860, 50909, 59786, 51479, 54968, 51011, 62988, 50803, 51707, 50830, 51479, 54586, 50868, 50976, 79491, 77924, 51997, 51049, 55245, 51011, 66352, 52865, 51739, 54210, 51011, 62711, 50976, 79491, 77924, 51997, 51049, 50949, 57377, 52651, 50898, 54892, 51011, 56781, 50976, 79491, 50909, 50802, 51707, 51421, 55229, 51011, 60772, 50823, 51997, 53661, 51739, 54151, 50868, 50976, 79491, 77924, 51479, 54968, 70049, 52033, 51314, 50946, 50823, 51707, 55900, 51479, 54586, 50868, 59080, 64622, 50811, 51997, 51370, 51130, 55245, 50868, 50975, 68130, 50909, 60406, 51739, 54210, 51011, 62694, 53547, 50949, 52288, 51059, 51027, 51732, 50899, 51732, 51881, 53849, 51743, 51449, 51656, 56235, 65882, 51732, 51838, 52204, 50872, 59080, 74779, 52651, 50898, 54892, 50872, 50976, 50850, 50802, 72206, 51707, 51049, 55229, 50848, 50803, 51997, 51907, 51739, 54151, 50927, 63673, 50976, 50850, 50802, 51007, 59786, 51479, 50949, 53758, 58173, 50803, 51707, 52218, 57512, 50791, 51130, 54586, 50872, 50976, 79491, 51007, 50976, 51997, 52744, 55245, 50848, 51779, 51739, 54210, 50927, 56674, 50976, 79491, 51007, 50976, 50457, 51997, 51049, 50949, 57342, 52651, 50898, 54892, 55952, 51743, 51314, 50872, 50976, 79491, 51007, 50976, 50421, 51707, 51421, 55229, 50848, 50811, 51997, 53661, 51739, 54151, 78770, 66882, 68130, 51007, 50993, 51479, 50949, 53758, 50824, 51881, 52140, 50848, 50811, 51707, 55900, 51479, 54586, 50872, 59080, 74779, 50811, 51997, 52744, 55245, 51656, 52204, 50872, 50975, 76580, 51007, 50993, 57688, 52374, 54210, 64319, 50848, 51052, 50949, 53534, 66822, 51732, 50916, 51732, 53389, 52204, 51711, 57610, 50868, 59080, 64622, 52750, 50898, 54892, 50868, 50976, 79491, 77924, 51707, 51049, 55229, 50946, 50803, 51997, 51907, 50894, 62579, 54151, 51011, 51010, 50868, 50976, 79491, 77924, 50433, 51479, 54968, 51011, 62988, 50803, 51707, 52218, 50898, 54586, 50868, 56491, 66047, 51997, 66353, 50791, 55245, 50946, 51779, 51739, 54210, 51011, 66306, 50976, 79491, 77924, 51997, 59747, 51479, 50949, 57377, 51052, 54892, 51011, 56781, 56491, 66047, 51707, 61291, 51479, 55229, 50946, 50823, 51997, 51907, 52374, 54151, 51011, 58581, 50976, 79491, 77924, 50433, 51479 ]
[ 0, 4688, 9066, 5175, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 10, 6755, 12547, 6, 18558, 6, 8, 30587, 8669, 4, 20, 2125, 16, 278, 11, 381, 3694, 6, 19, 10, 20889, 9, 15966, 163, 5683, 36, 7083, 4308, 1001, 43, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 16331, 33215, 16739, 9, 3676, 6, 272, 6, 3676, 6, 230, 6, 8, 211, 3639, 7, 5, 2214, 18, 2933, 6, 15352, 30054, 6, 8, 20425, 5466, 6, 2351, 41, 11653, 8, 13363, 28191, 6288, 676, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50799, 53441, 57290, 52944, 53378, 53172, 53378, 57290, 53031, 51584, 51573, 53441, 53264, 53378, 57290, 53114, 53378, 53562, 53441, 57290, 53217, 51584, 51090, 53378, 50845, 50799, 53441, 57290, 52944, 53378, 53172, 53493, 51427, 53441, 57290, 53031, 51584, 51745, 53378, 53264, 53625, 51160, 53378, 57290, 53114, 53441, 53562, 52380, 50849, 53378, 57290, 53217, 52172, 50918, 51584, 51016, 53378, 50845, 50799, 53441, 57290, 50825, 51296, 53073, 51278, 53073, 51046, 52570, 50420, 53378, 53172, 53378, 57290, 53031, 51584, 51573, 53441, 53264, 53378, 57290, 53114, 53378, 53562, 53441, 57290, 53217, 51584, 51090, 53378, 50845, 50799, 53441, 57290, 52944, 53378, 53172, 53441, 57290, 53031, 51584, 51745, 53378, 53264, 53378, 57290, 53114, 53441, 53562, 53378, 57290, 53217, 51584, 51016, 53378, 50845, 53534, 51033, 52091, 56300, 51701, 56094, 51716, 53520, 57237, 50940, 55010, 50921, 54391, 50940, 71329, 50839, 51296, 50858, 51278, 50882, 64508, 51278, 50897, 70905, 51143, 61555, 66486, 57237, 50830, 55010, 50940, 54391, 58474, 50908, 54737, 73784, 53443, 70905, 51278, 50938, 51143, 56412, 51011, 62851, 53934, 50834, 57686, 51278, 50821, 51046, 67803, 51584, 64919, 51011, 50882, 57237, 50830, 55010, 50940, 54391, 55220, 50891, 57686, 51278, 50859, 53443, 51278, 50897, 74316, 51143, 56282, 51011, 50858, 57237, 50952, 55010, 50921, 54391, 50830, 63087, 50834, 57686, 80070, 60677, 51278, 50897, 70905, 51143, 60204, 51011, 50858, 57237, 50830, 55010, 50940, 54391, 55220, 50837, 68135, 54737, 80070, 70905, 51143, 50830, 51278, 55758, 51011, 55976, 52493, 50834, 57686, 51278, 50821, 51046, 51754, 51011, 50882, 51584, 51016, 57237, 50952, 55010, 50921, 54391, 63779, 50891, 68135, 57686, 80070, 53534, 50858, 57237, 50830, 55010, 50952, 54391, 50910, 63087, 50820, 51296, 50858, 51278, 50882, 64508, 51278, 50910, 70905, 51143, 61555, 73252, 57237, 50940, 55010, 50940, 54391, 57882, 50908, 57686, 80070, 60677, 51278, 50910, 70905, 51143, 54919, 51011, 54301, 52493, 50834, 57686, 51278, 50821, 51046, 51628, 51011, 50858, 51584, 51294, 57237, 50952, 55010, 50921, 54391, 58474, 50891, 68135, 51296, 50859, 73784, 51278, 50897, 74316, 51143, 56983, 51011, 50940, 57237, 50952, 55010, 50940, 54391, 50830, 58596, 50834, 57686, 51278, 50812, 80070, 53443, 60677, 51143, 51820, 50953, 51033, 52016, 51343, 51678, 51496, 52252, 50983, 55546, 50940, 54602, 50940, 57255, 55220, 50863, 51942, 50858, 51155, 50858, 69050, 51155, 50952, 51063, 50940, 51329, 57415, 50953, 55508, 53347, 50834, 51942, 50821, 51155, 50858, 51063, 51754, 74511, 51584, 51226, 50852, 50891, 51155, 50890, 51942, 50821, 53713, 54272, 51033, 52091, 55428, 51678, 56300, 51716, 54834, 54602, 50940, 54391, 50940, 56968, 50830, 63087, 50829, 51386, 50858, 51063, 50821, 51278, 50925, 76802, 51143, 50897, 51143, 63817, 51133, 50940, 54602, 50910, 54391, 50940, 56968, 58474, 50891, 55542, 67112, 69050, 51143, 50812, 51278, 50910, 51143, 55640, 51133, 59557, 53708, 50829, 51386, 50859, 51063, 50821, 51143, 51628, 51133, 50859, 51584, 51013, 54602, 50940, 54391, 50921, 56968, 58474, 50908, 51386, 50812, 51278, 50833, 67699, 56161, 76802, 51143, 56057, 51133, 50858, 54602, 50830, 54391, 50940, 56968, 50830, 63087, 50834, 51386, 50859, 67699, 57760, 51278, 50925, 65474, 51143, 58937, 51133, 50858, 54602, 50830, 54391, 50940, 56968, 55220, 50870, 51063, 50821, 57760, 51386, 50952, 51278, 50925, 65474, 51143, 57006, 51133, 54301, 53934, 50834, 55542, 51063, 50882, 51143, 51754, 51133, 50821, 51584, 51016, 54602, 50830, 54391, 50940, 56968, 55220, 50908, 55542, 51278, 50854, 53713, 67699, 51143, 50812, 51143, 50910, 54272, 50858, 54602, 50952, 54391, 50921, 56968, 50952, 58596, 50835, 51386, 50800, 53713, 67699, 56161, 51278, 50925, 51143, 60724, 51133, 50821, 54602, 50940, 54391, 51033, 56968, 63779, 50908, 51386, 50812, 67699, 56161, 51278, 50897, 65474, 51143, 56382, 51133, 55976, 53934, 50829, 55542, 67699, 51143, 52559, 51133, 50821, 51584, 51055, 54602, 50830, 54391, 50940, 56968, 58474, 50891, 55542, 67112, 67699, 57760, 51278, 50910, 51143, 56057, 51133, 51030, 54602, 50940, 54391, 50921, 56968, 50940, 58596, 50829, 51143, 50836, 69050, 69050, 51386, 50952, 51278, 50910, 51143, 58937, 51415, 50882, 52016, 51343, 51678, 51496, 52252, 51141, 54602, 50910, 57255, 50910, 54304, 58474, 50891, 51778, 50859, 51063, 50821, 73502, 51155, 50910, 51063, 50925, 51329, 56060, 51271, 51033, 54602, 50897, 57255, 50942, 54304, 53373, 53934, 50834, 51778, 50800, 51063, 50882, 51329, 52955, 51415, 50924, 54602, 50830, 57255, 50910, 54304, 50921, 58596, 50837, 51778, 50858, 51063, 50821, 51329, 50812, 53534, 50940, 52091, 54153, 51701, 54834, 51716, 53520, 57237, 50940, 55010, 50921, 54391, 50830, 53494, 51013, 57037, 50932, 67779, 50378, 79052, 50928, 51296, 50821, 51278, 50821, 51046, 50859, 64508, 51278, 50830, 51143, 62714, 51011, 50952, 57237, 50830, 55010, 50940, 54391, 55220, 50370, 79052, 50928, 51296, 50809, 80070, 60677, 60677, 51278, 50897, 51143, 56382, 51011, 50858, 54776, 51111, 55205, 51328, 50816, 53934, 50375, 79052, 50928, 51296, 50858, 80070, 51046, 51628, 51011, 50858, 57237, 50940, 55010, 51033, 54391, 58474, 50368, 79052, 50928, 51296, 50858, 51278, 50812, 51278, 50821, 60677, 51046, 50897, 51143, 56983, 51011, 50940, 57237, 50830, 55010, 50940, 54391, 50910, 58596, 50375, 79052, 50928, 51296, 50858, 51278, 50844, 51278, 50882, 51046, 50833, 51046, 50859, 51143, 62063, 51011, 50858, 57237, 50830, 55010, 50940, 54391, 55220, 50368, 79052, 50928, 51296, 50858, 51278, 50833, 80070, 51046, 50833, 60677, 51143, 55620, 51011, 60332, 53934, 50375, 79052, 50928, 51296, 50858, 80070, 51046, 54418, 51011, 50940, 57237, 50830, 55010, 50940, 54391, 58474, 50370, 79052, 50928, 51296, 50858, 51278, 60987, 50821, 51046, 50812, 60677, 51143, 50910, 53534, 50952, 57237, 50952, 55010, 50940, 54391, 50830, 63087, 50375, 79052, 50928, 51296, 50821, 51278, 50833, 51278, 50821, 51046, 50812, 60677, 51143, 62714, 51011, 50859, 57237, 50952, 55010, 50940, 54391, 55220, 50369, 79052, 50928, 51296, 50858, 80070, 51046, 50812, 51046, 50812, 51278, 50897, 51143, 56382, 51011, 55508, 53934, 50375, 79052, 50928, 51296, 50858, 51278, 50882, 51046, 53974, 51011, 50858, 57237, 50952, 55010, 50940, 54391, 58474, 50368, 79052, 50928, 57686, 51278, 60987, 50858, 60677, 74316, 51143, 56057, 51011, 51014, 57237, 50910, 55010, 50830, 54391, 50910, 58596, 50375, 79052, 50928, 51296, 50858, 51278, 50854, 80070, 51046, 50812, 64508, 51143, 60204, 74885, 52016, 51343, 51678, 51274, 52252, 51295, 55546, 50940, 54602, 50940, 57255, 55220, 50368, 79052, 50928, 53713, 51942, 50940, 51155, 50830, 51155, 50940, 51063, 50952, 51329, 57006, 50953, 54015, 53934, 50376, 79052, 50928, 51942, 50858, 51155, 50858, 51063, 51754, 50953, 56189, 50368, 79052, 50928, 51942, 62428, 50882, 67112, 54272, 50940, 52091, 54153, 51678, 56736, 51716, 54834, 54602, 50940, 54391, 50921, 56968, 50940, 58596, 50375, 79052, 50928, 51075, 50884, 51386, 50882, 51063, 50882, 51143, 50859, 51278, 50897, 51063, 50952, 51143, 60724, 51133, 50858, 54602, 50830, 54391, 50940, 56968, 58474, 50369, 79052, 50928, 51386, 50858, 51278, 50833, 79455, 50821, 56161, 51143, 56382 ]
[ 0, 4688, 5175, 2214, 19, 10, 177, 12, 3341, 8, 980, 219, 16464, 6, 4246, 30587, 8, 81, 9756, 29589, 6, 38668, 9590, 8, 483, 6, 8, 21072, 4, 85, 18, 278, 11, 230, 3694, 6, 19, 10, 1769, 20889, 9, 19446, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 230, 119, 6, 2060, 6, 163, 428, 6, 230, 119, 6, 8, 2060, 119, 1176, 406, 3639, 7, 5, 15352, 30054, 8, 2829, 2933, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 50799, 52754, 64342, 52754, 55889, 52754, 60022, 54686, 51573, 50456, 53514, 51033, 51182, 51387, 50799, 53514, 51427, 51182, 60823, 53514, 50911, 51182, 54729, 52754, 50921, 51629, 55122, 52754, 51427, 51629, 68390, 53514, 57241, 54636, 50921, 50799, 52754, 55492, 52754, 51603, 50432, 53514, 51388, 50438, 54636, 52692, 52983, 73976, 52983, 51033, 50799, 54636, 51460, 50426, 52983, 51552, 50450, 52556, 51072, 51498, 76868, 51013, 51497, 55113, 53756, 50961, 50799, 52696, 51191, 54097, 51141, 51874, 51343, 53253, 50983, 51498, 51496, 51593, 50983, 52553, 53837, 50820, 51634, 51552, 51143, 51552, 51302, 51135, 56118, 52975, 53190, 51183, 52696, 51591, 53185, 51496, 51839, 51103, 53468, 51077, 52971, 51896, 51348, 51356, 51843, 51551, 51450, 51437, 60218, 53711, 52490, 51192, 61394, 60218, 53563, 51874, 50893, 53824, 50948, 52074, 50805, 51849, 50860, 51511, 50911, 50799, 53015, 51183, 52174, 51103, 52490, 51500, 51593, 51060, 53253, 51060, 52160, 51077, 53804, 60218, 50883, 51143, 51388, 51634, 51388, 50420, 53468, 50893, 51839, 51121, 51843, 51012, 51348, 68907, 52490, 51500, 53824, 51048, 52074, 50914, 51321, 53479, 51135, 50834, 51849, 51454, 51511, 53585, 52696, 51417, 54097, 51562, 51874, 51362, 51497, 50807, 52106, 51016, 51498, 51196, 52902, 60218, 50883, 51222, 51054, 51344, 54145, 51856, 50865, 52856, 55152, 54131, 51135, 50820, 51521, 51021, 51569, 56210, 51874, 50938, 52106, 50938, 51497, 50873, 51344, 50936, 79876, 50799, 53190, 51351, 52696, 51189, 53185, 51294, 51593, 51141, 53253, 51274, 52971, 51364, 52358, 60218, 50883, 51143, 51496, 51634, 51029, 51302, 51135, 60276, 52975, 53015, 51542, 52174, 51241, 52490, 51552, 53468, 51336, 51839, 51077, 52160, 51896, 51843, 51870, 51348, 51551, 51450, 51464, 62449, 53711, 52401, 51173, 61394, 60218, 53563, 52490, 50893, 52074, 50849, 53824, 51060, 51511, 50806, 51849, 51388, 50799, 54097, 51121, 53512, 50937, 52556, 50980, 53253, 51111, 51593, 51095, 52023, 51055, 52358, 56118, 50883, 51634, 51192, 51143, 51379, 50420, 51839, 50812, 53468, 50808, 51348, 50821, 51843, 54007, 52074, 50836, 53824, 50800, 51511, 50821, 51849, 54631, 52696, 51047, 54097, 51127, 51874, 50983, 52106, 50918, 51497, 51623, 51498, 51896, 51321, 53479, 51179, 58888, 50829, 51344, 51527, 51222, 52282, 50438, 51321, 53479, 51135, 53239, 52401, 65249, 53533, 52490, 60089, 53479, 51135, 58888, 53217, 51874, 50800, 50799, 52696, 51307, 54097, 51945, 51874, 51343, 53253, 50983, 51593, 51472, 52971, 51655, 51206, 53852, 51179, 50818, 51634, 51552, 51143, 52512, 51302, 51135, 56118, 52975, 53185, 51496, 51839, 50918, 53468, 51336, 51348, 51551, 51843, 51870, 51450, 51187, 60218, 53711, 52490, 50893, 51321, 53479, 51135, 53173, 51874, 51060, 52074, 50917, 53824, 50805, 51511, 50936, 51849, 50911, 50799, 53015, 51562, 52174, 51127, 52490, 50980, 51593, 51100, 53253, 50967, 52160, 51291, 52615, 51564, 79516, 63113, 51634, 51354, 50420, 51839, 50849, 53468, 51060, 51348, 51192, 51843, 75274, 52490, 51566, 52074, 51003, 53824, 50807, 51321, 53479, 51135, 50834, 51511, 50807, 51849, 61287, 52696, 51397, 54097, 51562, 51874, 51294, 51497, 50807, 52106, 50807, 51498, 50918, 76650, 51464, 50846, 51344, 51054, 51222, 51573, 50450, 51856, 50849, 52856, 50901, 51321, 53479, 51135, 50820, 51521, 50806, 51569, 55416, 51874, 50873, 51497, 50845, 52106, 50845, 55302, 58042, 50799, 53190, 51241, 52696, 51141, 53185, 51541, 53253, 51364, 52971, 51661, 51593, 51446, 52358, 58888, 50846, 51634, 51761, 51143, 52195, 51302, 51135, 52925, 53015, 52644, 52174, 52821, 52490, 57508, 52160, 54454, 51839, 53090, 53468, 75515, 53837, 50846, 51348, 56082, 51843, 55198, 51570, 50834, 51382, 51135, 60218, 50883, 69808, 54162, 77511, 50818, 52389, 53338, 56315, 60276, 51041, 53934, 52600, 69591, 51382, 53934, 53268, 67003, 62147, 50879, 51497, 50977, 50746, 50335, 52625, 57900, 53618, 50961, 51222, 68745, 50746, 50336, 50803, 50746, 50335, 59723, 52401, 51121, 51347, 50933, 50746, 50336, 50949, 51386, 64784, 50746, 50333, 55800, 52490, 50873, 51856, 73715, 53333, 50841, 51521, 51138, 50429, 71858, 52726, 51874, 50901, 51497, 51058, 50746, 50331, 50811, 51222, 51030, 50435, 71858, 60364, 52556, 50890, 52074, 50827, 50746, 50331, 51520, 52493, 50839, 51511, 61618, 71858, 50894, 77177, 52940, 52556, 50911, 52074, 51006, 50746, 50324, 51670, 50883, 51511, 72551, 51874, 50845, 51497, 50987, 63036, 50800, 62206, 50846, 50746, 50324, 52279, 53333, 50841, 51222, 70087, 62206, 56354, 52490, 50805, 51856, 51166, 63036, 50817, 51521, 51138, 50459, 65050, 50817, 62147, 51060, 51497, 50978, 58621, 50962, 60608, 54168, 53333, 50841, 51222, 70844, 65050, 52244, 52401, 50967, 51347, 51328, 58621, 50803, 60608, 50811, 51386, 59573, 60948, 51973, 79026, 51856, 51058, 58065, 52279, 53333, 50839, 51521, 67107, 57677, 55736, 51874, 50845, 51497, 51058, 60948, 50811, 58065, 50803, 51222, 51030, 50435, 57677, 52952, 52556, 50930, 52074, 50827, 66024, 51670, 53333, 50841, 51511, 58909, 65854, 50803, 79049, 57565, 52556, 51158, 52074, 63834, 50895, 51511, 64077, 51874, 51400, 51497, 74741, 53333, 50841, 51222, 50993, 62147, 50879, 51497, 50977, 50746, 50335, 51520, 52586, 50841, 51222, 51505, 50417, 50746, 50336, 50803, 50746, 50335, 52244, 52401, 51095, 51347, 51254, 50746, 50333, 50811, 51386, 64784, 50746, 50331, 51973, 52490, 51158, 51856, 51058, 71858, 51779, 53333, 50841, 51521, 51286, 50429, 77177, 50921, 50746, 50331, 55736, 51874, 50873, 51497, 51058, 71858, 51033, 51222, 51030, 50435, 77177, 56341, 52556, 50930, 52074, 53970, 53347, 50841, 51511, 61618, 50746, 50324, 50930, 62206, 54989, 52556, 50911, 52074, 51174, 63036, 50867, 50746, 50324, 53756, 50895, 51511, 51286, 50447, 50746, 50324, 53083, 51874, 51177, 51497, 50987, 62206, 51010, 63036, 51463, 53333, 50841, 51222, 60345, 52490, 50873, 51856, 51470, 65050, 50803, 51521, 68237, 58621, 50890, 60608, 50950, 62147, 50879, 51497, 50901, 51497, 52379, 52074, 51184, 65050, 51014, 58596, 50841, 51222, 50976, 50417, 58621, 50803, 60608, 54658, 52401, 50967, 51347, 51058, 60948, 50811, 51386, 66378, 58065, 51973, 52490, 51060, 51856, 51058, 57677, 50855, 60948, 52865, 53333, 50841, 51521, 68350, 58065, 52119, 51874, 51101, 51497, 51058, 57677, 50962, 51222, 73073, 66024, 55381, 70770, 52074, 50886, 65854, 51520, 54866, 53333, 50841, 51511, 66609, 79049, 55920, 52556, 50911, 52074, 51008, 65854, 54209, 50846, 51511, 52175, 51874, 51221, 51497, 51337, 79049, 53543, 53333, 50379, 55958, 62561, 50883, 51222, 72333, 55613, 56728, 50818, 62147, 50893, 51497, 50977, 54443, 51030, 75771, 50820, 51222, 52410, 52401, 51095, 51347, 50933, 52983, 51460, 51386, 55341, 79026, 51856, 67606, 54131, 50895, 51521, 68029, 51874, 50849, 51497, 51058, 52983, 51603, 51222, 64104, 52556, 50890, 52074, 55249, 50839, 51511, 55920, 52556, 50879, 52074, 62285, 50961, 51511, 72551, 51874, 50873, 51497, 57616, 53333, 50839, 51222, 67840, 52490, 51177, 51856, 51166, 55613, 50921, 51521, 51138, 62147, 51060, 51497, 50905, 54443, 51460, 63087, 50820, 51222, 58808, 52401, 51060, 51347, 51328, 51386, 53466, 52490, 51060, 51856, 51058, 52983, 51603, 50804, 53333, 50839, 51521, 57067, 51874, 50845, 51497, 51058, 51222, 64104, 52556 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 3495, 2214, 11, 211, 538, 6, 4246, 41, 21979, 8669, 6, 26432, 636, 3938, 22052, 6, 2342, 4467, 6, 8, 21979, 9590, 6, 19, 12405, 842, 1671, 1688, 4428, 11, 5, 3618, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 15966, 13410, 228, 2289, 6, 150, 5, 33215, 16739, 9, 83, 6, 211, 6, 8, 3676, 3639, 7, 63, 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 ]	[ 57739, 50796, 52177, 50778, 50287, 52122, 50796, 50796, 50449, 50778, 50299, 51452, 50796, 50430, 50778, 50299, 53090, 50796, 50453, 50778, 50299, 52250, 50796, 50796, 50455, 51596, 51080, 56200, 51080, 77033, 51789, 51447, 63668, 51447, 50453, 52083, 51490, 71752, 51490, 79254, 51098, 51184, 51565, 52916, 67824, 52916, 64567, 50778, 50299, 56515, 50435, 50847, 64624, 50829, 51067, 78017, 53727, 50834, 50929, 50891, 51316, 59295, 53528, 50847, 64624, 50829, 51067, 55371, 58605, 50825, 51207, 50941, 51076, 50863, 71721, 51067, 59728, 56122, 53217, 58605, 50837, 51076, 51000, 51067, 56551, 50847, 64624, 50829, 65517, 61108, 59834, 53727, 50825, 51596, 51330, 56200, 51330, 68236, 50929, 54049, 53868, 50847, 64624, 50835, 51207, 68561, 56789, 51389, 51655, 52202, 53866, 55639, 53866, 51292, 54378, 61311, 50935, 50867, 51444, 50864, 50929, 59138, 53727, 50835, 51067, 55892, 54368, 61311, 50935, 50857, 51444, 50867, 69547, 51292, 58345, 58605, 50825, 51444, 57608, 50864, 51067, 57527, 56122, 53017, 58605, 50825, 69547, 51067, 56551, 50847, 68013, 50829, 51574, 50840, 50929, 50941, 50947, 50941, 51809, 52182, 51108, 52367, 51108, 50417, 53727, 50835, 51076, 59295, 53023, 51574, 54579, 61311, 50935, 50857, 51444, 50825, 68236, 51067, 66796, 52202, 51884, 55639, 51884, 50429, 51150, 52392, 50778, 50292, 53233, 50434, 51752, 52431, 54635, 52431, 50435, 69461, 51149, 50829, 51032, 59138, 58605, 62222, 50867, 51032, 61212, 53528, 69461, 51149, 50857, 50998, 66422, 57186, 53085, 50825, 66807, 50929, 50941, 65423, 51292, 50933, 51270, 54121, 52579, 53085, 54600, 69461, 51149, 50867, 67522, 51292, 50912, 69146, 60851, 58605, 50825, 67522, 51292, 59295, 63266, 52202, 51738, 55639, 51738, 50423, 69461, 51149, 50834, 50998, 53548, 50929, 56789, 52078, 51345, 52155, 51878, 53297, 51878, 50435, 50909, 50829, 51149, 50829, 50986, 75634, 54077, 50986, 50820, 50778, 50294, 78198, 50439, 51273, 51013, 50441, 61475, 50825, 51067, 61605, 54492, 50944, 75086, 50867, 51444, 50884, 50947, 68857, 54809, 52188, 51886, 52188, 50453, 53727, 50837, 52419, 51552, 76803, 76803, 51067, 57527, 55410, 52579, 51078, 50941, 51067, 56551, 50944, 75086, 50867, 52182, 51642, 52367, 51642, 52012, 75634, 50941, 60674, 52177, 61475, 69347, 75086, 50835, 51131, 50887, 64737, 51067, 59295, 63266, 52155, 52378, 53297, 52378, 50423, 50944, 50834, 51007, 50829, 51131, 50841, 50947, 50863, 51067, 50941, 50427, 50778, 50299, 55586, 50428, 52202, 54373, 55639, 54373, 50429, 51098, 51184, 50929, 56030, 50847, 68013, 50825, 51067, 78017, 53727, 77828, 50891, 51316, 59295, 53528, 61311, 50935, 50867, 51067, 55371, 58605, 50829, 51207, 50941, 51076, 50863, 71721, 51067, 59728, 54121, 52920, 58605, 50863, 51076, 51000, 51067, 56551, 61311, 50935, 50829, 65517, 61108, 59834, 53727, 50837, 68236, 50929, 54049, 53868, 61311, 50935, 50867, 51207, 68561, 56789, 51389, 51655, 51292, 54378, 61311, 50935, 50867, 51444, 50864, 50929, 59138, 53727, 50825, 51067, 55892, 54368, 61311, 50935, 50867, 51444, 50867, 69547, 51292, 58345, 58605, 50835, 51444, 57608, 50864, 51067, 57527, 55410, 53268, 58605, 50863, 69547, 51067, 56551, 61311, 50935, 50829, 51574, 50840, 50929, 50941, 50947, 50941, 52177, 53727, 50837, 51076, 59295, 53203, 51574, 54579, 60279, 50935, 50867, 51444, 50825, 68236, 51067, 58594, 51098, 52392, 50435, 60279, 50935, 50867, 50929, 59138, 53727, 77828, 50941, 51292, 56162, 53528, 61311, 50935, 50867, 51311, 57608, 57186, 58605, 50835, 51565, 51965, 67824, 51965, 51311, 50855, 51076, 50933, 51067, 50941, 51067, 50933, 51270, 54121, 52579, 58605, 54600, 50847, 64624, 50829, 68236, 51076, 50912, 73934, 60851, 53727, 50825, 68236, 51076, 59295, 54104, 61311, 50935, 50829, 51311, 53548, 51067, 63444, 52202, 52980, 55639, 52980, 50429, 51389, 51472, 50435, 50847, 64624, 50829, 51207, 50846, 51292, 54077, 51207, 56714, 53727, 76876, 61605, 54368, 50847, 64624, 50829, 51207, 50884, 51067, 58345, 58605, 50825, 51273, 51552, 50929, 50863, 51076, 50867, 51076, 62381, 55410, 53268, 58605, 50863, 69547, 51076, 74884, 51752, 51309, 54635, 51309, 50459, 50847, 64624, 50829, 51444, 74945, 50941, 51067, 50822, 52177, 53727, 61483, 68013, 50835, 50960, 50887, 69547, 50947, 56162, 62307, 52202, 53892, 55639, 53892, 50423, 50847, 64624, 50829, 50960, 50841, 50929, 50941, 51067, 59619, 52155, 52431, 53297, 52431, 50429, 51216, 51184, 50999, 54216, 50999, 55643, 62308, 50909, 74783, 62821, 50859, 55226, 52691, 50999, 57917, 56185, 68822, 50846, 50973, 50813, 52357, 70029, 53528, 62308, 50909, 76962, 50863, 50876, 56366, 61475, 50835, 51062, 50846, 50900, 64701, 62381, 56494, 53268, 61475, 50863, 51062, 58182, 62308, 50909, 50829, 51062, 50820, 50968, 50813, 55226, 50822, 59733, 50863, 50900, 65600, 52202, 51466, 55639, 51466, 50417, 56185, 50835, 51062, 50949, 50968, 51604, 50340, 59295, 54104, 62308, 50909, 62820, 74267, 63726, 51752, 56515, 54635, 56515, 50429, 51984, 51655, 51430, 53810, 51430, 57039, 50850, 64705, 51537, 50332, 50841, 51027, 63287, 52781, 51430, 56755, 56185, 50825, 51430, 78954, 53406, 53528, 62308, 50909, 50835, 51027, 74267, 56936, 61475, 50835, 51814, 50846, 51315, 63287, 65685, 56494, 53268, 61475, 50863, 51814, 56551, 62308, 50909, 51609, 50337, 73046, 50840, 50799, 51814, 50829, 51315, 61060, 56185, 50837, 51814, 71306, 59190, 53109, 62308, 50909, 51609, 50296, 61768, 64502, 51273, 56710, 51273, 52392, 50435, 67517, 51007, 50867, 51067, 59138, 61475, 50835, 51076, 50867, 51067, 61212, 58900, 51596, 51965, 56200, 51965, 50447, 50944, 75086, 50829, 52028, 68561, 57186, 53727, 50829, 52028, 50855, 51078, 50933, 50947, 50941, 79504, 51270, 55410, 53268, 53727, 62107, 52202, 52034, 55639, 52034, 50459, 50944, 79371, 50829, 64415, 77211, 50799, 52028, 60851, 61475, 50837, 51078, 50864, 51067, 61605, 60461, 51752, 52482, 54635, 52482, 50423, 50944, 75086, 50829, 52028, 53548, 52155, 51679, 53297, 51679, 50947, 56789, 51216, 51472, 50435, 50944, 75086, 50829, 51444, 50846, 51076, 54077, 51444, 62293, 52202, 52063, 55639, 52063, 50441, 61475, 50835, 51067, 61605, 59279, 51752, 52378, 54635, 52378, 50447, 67517, 51007, 50835, 51444, 50884, 50947, 58345, 53727, 50829, 52419, 51552, 76803, 76803, 51067, 57527, 55410, 52579, 51596, 51642, 56200, 51642, 51078, 50941, 51067, 56551, 50944, 75086, 50829, 52012, 75634, 50941, 60674, 51601, 51789, 51254, 63668, 51254, 50417, 61475, 67319, 75086, 50829, 51131, 50887, 64737, 51067, 59295, 53203, 51596, 50837, 56200, 60916, 51789, 50984, 63668, 57079, 51098, 71488, 64624, 50829, 51596, 52829, 56200, 52829, 50960, 50841, 50929, 50941, 51067, 56609, 51098, 51184, 50929, 56030, 50847, 64624, 50829, 51067, 78017, 53727, 73942, 50891, 51316, 59295, 54492, 61311, 50935, 50829, 51067, 55371, 58605, 50825, 51207, 50941, 51076, 50863, 71721, 51067, 59728, 56494, 53268, 51076, 51000, 51067, 56551, 50847, 64624, 50835, 65517, 61108, 59834, 53727, 50863, 68236, 50929, 54049, 53203, 53727, 53899, 50847, 64624, 50835, 51207, 68561, 56789, 51273, 51655, 51076, 54378, 50944, 75086, 50829, 51444, 50864, 51067, 59138, 61475, 50834, 50947, 55892, 54492, 50944, 79371, 50829, 52012, 50867, 51076, 50867, 51067, 57186, 53727, 50825, 52012, 61203, 50863, 51067, 59728, 55410 ]
[ 0, 250, 15352, 30054, 8, 20425, 5175, 3152, 2214, 19, 10, 2933, 26438, 1264, 6, 4246, 81, 9756, 29589, 6, 31391, 1672, 9590, 6, 1855, 4822, 254, 483, 6, 8669, 21040, 2857, 6, 8, 21072, 4, 8504, 11, 83, 3694, 8, 3185, 30, 10, 27841, 3006, 11332, 20889, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50645, 55746, 52013, 56604, 52013, 50962, 55746, 52013, 56604, 52013, 50962, 55746, 52013, 56604, 52013, 50962, 55746, 52013, 56604, 52013, 50962, 55746, 52013, 56604, 52013, 50962, 51094, 50306, 51732, 52055, 52281, 51031, 52399, 50834, 51694, 51695, 52844, 50843, 52950, 50843, 52878, 71970, 51899, 51695, 52738, 70037, 55986, 50818, 52399, 50841, 51694, 51695, 52844, 50843, 53219, 50843, 53239, 76062, 51899, 51695, 52738, 73621, 55986, 50895, 52399, 50828, 51694, 51695, 52927, 50843, 53219, 50843, 53806, 71970, 51899, 51695, 53268, 70037, 55986, 50883, 52399, 50828, 51694, 51695, 53644, 50843, 53418, 50843, 53806, 50843, 50883, 51899, 51695, 53563, 50843, 54359, 70037, 55986, 50818, 53440, 50834, 52399, 55133, 50843, 50820, 51694, 51695, 50884, 53764, 53063, 50843, 55486, 50843, 52950, 50843, 53905, 50843, 52616, 50843, 56156, 76321, 51899, 52193, 51769, 50817, 50796, 52399, 50834, 51694, 51695, 53644, 50843, 53219, 50843, 53885, 50843, 50839, 51899, 51695, 53173, 76321, 55986, 50884, 52399, 52870, 61603, 51347, 52677, 51695, 53644, 50843, 53219, 50843, 53806, 51347, 50976, 51347, 63304, 50839, 51899, 51695, 53650, 73621, 50799, 51347, 51352, 51347, 51352, 55301, 51352, 50843, 50961, 52399, 50846, 51694, 51695, 53230, 50843, 52565, 50843, 52210, 50843, 53068, 66157, 51767, 53757, 51695, 52349, 57548, 51409, 55422, 50846, 50799, 63525, 51188, 53025, 53336, 51347, 50923, 51347, 59434, 53516, 51499, 51237, 51499, 51237, 68311, 53644, 50843, 52950, 51347, 51054, 51347, 65030, 53806, 50843, 52396, 74608, 51347, 57321, 51695, 53563, 51347, 50923, 51347, 59434, 50884, 50799, 51499, 51735, 51499, 51735, 50843, 50883, 52399, 52437, 51347, 51090, 51347, 63923, 51695, 52844, 50843, 53116, 51347, 50923, 51347, 59434, 53885, 51767, 51090, 51767, 51090, 73621, 51899, 51695, 53650, 66157, 51767, 55422, 54943, 50843, 50839, 50799, 63525, 51188, 53025, 50883, 53440, 52981, 51347, 50923, 51347, 59434, 55893, 50843, 52905, 51499, 51237, 51499, 51237, 50682, 50303, 77068, 52265, 50843, 53219, 51347, 51054, 51347, 51054, 58788, 65030, 53675, 50843, 53083, 74608, 74608, 58788, 57321, 51695, 53685, 51347, 50923, 51347, 50923, 58788, 59434, 50828, 50799, 51499, 51735, 51499, 51735, 50682, 50303, 51735, 50843, 50884, 52399, 53855, 51347, 51090, 51347, 51090, 58788, 63923, 51695, 53230, 50843, 52950, 51347, 50923, 51347, 50923, 58788, 59434, 53885, 51767, 51090, 51767, 51090, 50843, 50820, 51899, 51695, 53563, 66157, 51767, 55422, 50828, 50799, 63525, 51188, 53025, 54031, 51347, 50923, 51347, 59434, 52905, 51499, 51237, 51499, 51237, 68311, 53644, 50843, 53040, 51323, 51090, 51323, 51090, 50843, 53806, 50843, 53595, 51404, 51237, 51404, 51237, 68311, 53650, 76321, 76676, 50976, 51478, 63304, 54031, 51347, 50911, 51347, 63108, 52905, 51263, 51054, 51263, 60746, 51695, 53644, 50843, 52565, 51200, 69428, 59964, 53885, 66227, 51497, 53025, 53409, 51347, 51090, 51347, 63923, 51695, 53650, 50843, 54943, 73621, 50799, 69882, 51188, 62630, 50818, 53440, 52761, 51263, 50911, 51263, 63108, 54069, 50843, 53150, 51347, 50911, 51347, 57438, 50817, 53764, 54562, 56349, 51263, 55422, 54487, 50843, 52766, 51200, 51030, 51200, 67451, 53885, 51323, 50936, 51323, 58582, 53035, 51497, 51505, 51497, 51505, 68311, 53650, 61603, 51347, 53025, 50818, 50799, 67212, 67212, 64496, 53025, 52432, 51188, 50923, 51188, 59434, 52992, 66227, 66227, 65776, 52677, 51695, 53230, 51347, 50923, 51347, 59434, 52950, 51188, 51009, 51188, 51009, 50682, 50306, 51009, 50843, 53675, 71970, 51899, 51695, 54450, 51206, 50883, 50799, 52074, 51045, 52074, 51045, 54785, 51045, 50418, 51497, 51033, 51497, 51033, 52584, 51033, 52399, 60480, 51245, 51033, 51245, 51033, 52993, 61001, 51497, 50823, 51497, 50823, 52584, 54886, 51695, 57881, 51188, 50921, 51188, 50921, 51684, 57359, 50843, 57535, 51497, 50921, 51497, 50921, 52584, 56360, 52074, 51045, 52074, 51045, 54785, 72815, 65809, 51497, 51033, 51497, 51033, 52584, 51033, 54032, 57854, 51245, 51033, 51245, 51033, 52993, 61326, 51497, 50823, 51497, 50823, 52584, 54886, 51695, 61807, 51188, 50921, 51188, 50921, 51684, 58133, 50843, 56637, 51497, 50921, 51497, 50921, 52584, 50921, 50799, 52074, 51045, 52074, 51045, 54785, 72815, 68316, 51497, 51033, 51497, 51033, 52584, 51033, 52399, 56493, 51245, 51033, 51245, 51033, 52993, 61001, 51497, 50823, 51497, 50823, 52584, 54886, 51695, 61426, 51188, 50921, 51188, 50921, 51684, 57359, 50843, 59871, 51497, 50921, 51497, 50921, 52584, 56360, 52074, 51045, 52074, 51045, 54785, 72815, 66331, 51497, 51033, 51497, 51033, 52584, 51033, 54032, 59484, 51245, 51033, 51245, 51033, 52993, 61326, 51497, 50823, 51497, 50823, 52584, 54886, 51695, 61807, 51188, 50921, 51188, 50921, 51684, 58133, 50843, 58472, 51497, 50921, 51497, 50921, 52584, 50921, 55975, 50846, 50799, 51593, 51014, 51593, 51014, 55301, 62864, 50883, 53440, 58516, 51323, 51014, 51323, 51014, 54144, 51014, 52399, 66774, 51746, 51014, 51746, 51014, 57058, 51014, 59705, 52905, 51323, 51014, 51323, 51014, 54144, 63637, 57834, 51823, 51014, 51823, 51014, 54423, 51014, 58932, 58608, 51323, 51014, 51323, 51014, 54144, 62591, 51593, 51014, 51593, 51014, 55301, 62864, 66331, 51323, 51014, 51323, 51014, 54144, 51014, 54032, 57728, 51746, 51014, 51746, 51014, 57058, 61208, 51323, 51014, 51323, 51014, 54144, 63637, 51695, 57109, 51823, 51014, 51823, 51014, 54423, 51014, 58201, 58472, 51323, 51014, 51323, 51014, 54144, 51014, 50799, 51593, 51014, 51593, 51014, 55301, 62864, 68316, 51323, 51014, 51323, 51014, 54144, 51014, 52399, 60161, 51746, 51014, 51746, 51014, 57058, 61177, 51323, 51014, 51323, 51014, 54144, 63637, 51695, 61426, 51823, 51014, 51823, 51014, 54423, 51014, 58932, 58608, 51323, 51014, 51323, 51014, 54144, 62591, 51593, 51054, 51593, 51054, 55301, 65030, 53675, 50843, 53409, 52074, 51014, 52074, 51014, 54785, 63637, 51695, 61807, 51323, 51014, 51323, 51014, 54144, 51014, 58201, 58472, 51593, 51014, 51593, 51014, 55301, 51014, 55975, 50820, 76676, 51014, 51478, 51014, 57435, 62864, 50895, 53440, 60461, 51593, 51014, 51593, 51014, 55301, 51014, 52399, 56493, 51323, 51014, 51323, 51014, 54144, 51014, 59705, 52928, 52074, 51014, 52074, 51014, 54785, 63637, 51695, 50884, 53764, 59508, 51245, 51014, 51245, 51014, 52993, 51014, 58932, 56859, 51497, 51014, 51497, 51014, 52584, 51014, 64993, 52600, 51245, 51014, 51245, 51014, 52993, 62864, 50895, 54268, 60067, 51497, 51014, 51497, 51014, 52584, 51014, 54032, 58275, 51245, 51014, 51245, 51014, 52993, 51014, 59341, 53057, 52074, 51014, 52074, 51014, 54785, 63637, 51695, 50883, 54710, 59753, 51245, 51014, 51245, 51014, 52993, 51014, 58201, 58892, 51497, 51014, 51497, 51014, 52584, 51014, 55975, 50839, 50799, 51593, 51014, 51593, 51014, 55301, 62864, 50883, 53440, 61798, 51323, 51014, 51323, 51014, 54144, 51014, 52399, 57466, 51593, 51014, 51593, 51014, 55301, 51014, 59705, 52992, 51478, 51014, 51478, 51014, 57435, 63637, 51695, 50884, 53764, 57531, 51593, 51014, 51593, 51014, 55301, 51014, 58932, 56720, 51323, 51014, 51323, 51014, 54144, 51014, 64993, 52600, 51478, 51014, 51478, 51014, 57435, 62864, 50883, 54268, 58900, 51593, 51014, 51593, 51014, 55301, 51014, 54032, 59673, 51478, 51014, 51478, 51014, 57435, 51014 ]
[ 0, 250, 15855, 30062, 620, 7085, 2125, 11, 211, 538, 6, 4246, 10, 6755, 12547, 6, 6168, 3540, 6, 17035, 873, 2401, 6, 8, 1515, 21305, 6, 2351, 41, 9066, 8, 25306, 5466, 4, 590, 10, 20889, 9, 9680, 13410, 228, 2289, 6, 4760, 25, 12447, 1001, 6, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 7630, 6568, 10, 1472, 9, 814, 8, 4149, 6, 10930, 2424, 6645, 88, 20292, 23225, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 83, 8, 381, 6, 8216, 7, 5, 1374, 2821, 16235, 9, 42, 13363, 28191, 4388, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 52203, 51535, 53883, 51535, 51088, 51417, 51088, 51417, 51088, 51413, 55527, 51417, 50435, 52494, 50874, 52601, 50827, 51251, 50854, 51251, 50854, 51251, 50854, 58942, 53415, 52203, 51267, 53883, 51267, 51088, 51290, 51088, 51290, 51088, 51290, 55527, 77225, 53958, 51110, 51357, 51167, 51357, 51167, 51357, 51379, 60630, 51379, 50459, 52494, 50827, 52601, 50822, 51251, 50844, 51251, 50810, 51251, 50810, 58942, 50810, 78938, 51417, 53883, 51417, 51088, 51661, 51088, 51661, 51088, 51661, 55527, 51661, 50435, 52494, 50874, 52601, 50827, 51251, 50854, 51251, 50854, 51251, 50854, 58942, 54181, 52203, 51056, 53883, 51267, 51088, 51073, 51088, 51290, 51088, 51290, 55527, 77225, 53958, 51178, 51357, 51167, 51357, 51167, 51357, 51167, 60630, 51167, 50459, 52494, 50827, 52601, 50822, 51251, 50810, 51251, 50810, 51251, 50810, 58942, 50810, 78938, 51056, 53883, 51159, 51088, 50948, 51088, 50948, 51088, 50936, 55527, 62229, 51088, 51470, 55527, 65933, 51088, 51376, 51304, 51470, 51733, 51824, 55527, 76103, 51088, 51376, 55527, 71113, 51088, 51376, 51558, 51824, 51384, 51470, 55527, 73505, 51088, 51470, 55527, 73380, 51088, 51376, 51284, 51470, 51304, 51470, 55527, 69096, 51088, 51376, 55527, 51376, 63441, 51376, 51182, 51470, 51558, 51470, 55527, 51376, 50420, 51088, 51470, 55527, 65933, 51088, 51376, 51284, 51470, 51304, 51470, 55527, 76103, 51088, 51470, 55527, 71113, 51088, 51376, 51182, 51470, 51558, 51470, 55527, 73505, 51088, 51470, 55527, 73380, 51088, 51254, 51600, 51470, 51284, 51470, 55527, 69096, 51088, 51470, 55527, 51376, 78938, 51535, 53883, 51413, 51088, 51159, 51088, 51159, 51182, 51056, 51182, 51159, 51088, 51291, 55527, 51291, 50426, 51357, 51233, 51357, 51043, 50435, 52494, 50874, 52601, 50833, 51251, 50822, 51251, 50822, 51251, 50854, 58942, 53415, 52203, 51267, 53883, 51290, 51088, 51290, 51088, 51472, 51088, 51472, 55527, 77225, 53958, 51178, 51357, 51167, 60630, 51167, 50459, 52494, 50827, 52601, 50833, 51251, 50810, 51251, 50854, 51251, 50833, 58942, 50810, 78938, 51417, 53883, 51285, 51088, 51661, 51088, 51285, 51088, 51285, 55527, 51285, 50435, 52494, 50874, 52601, 50854, 51251, 50854, 51251, 50833, 51251, 50833, 58942, 54181, 52203, 51267, 53883, 51073, 51088, 51290, 51088, 51290, 51088, 51290, 55527, 77225, 53958, 51110, 51088, 50967, 51088, 51215, 51357, 51167, 60630, 51167, 50459, 52494, 50827, 52601, 50833, 51251, 50844, 51251, 50854, 51251, 50854, 58942, 50810, 78938, 51056, 53883, 50936, 53883, 50948, 51088, 50948, 51088, 50948, 51088, 50936, 55527, 60647, 51088, 51470, 55527, 65933, 57849, 51470, 77348, 51470, 51088, 51254, 51304, 51470, 51733, 51470, 55527, 76103, 51088, 51470, 55527, 71552, 61249, 51824, 63647, 51470, 51088, 51376, 51558, 51470, 51384, 51470, 55527, 73505, 51088, 51376, 55527, 73380, 56065, 51470, 57849, 51470, 51088, 51376, 51284, 51470, 51304, 51470, 55527, 69096, 51088, 51470, 55527, 51376, 50799, 53883, 51470, 61249, 51470, 51088, 51376, 51182, 51470, 51558, 51470, 55527, 51376, 50420, 51088, 51470, 55527, 65933, 56065, 51470, 57849, 51470, 51088, 51376, 51284, 51470, 51304, 51470, 55527, 76103, 51088, 51470, 55527, 71552, 53883, 51470, 61249, 51470, 51088, 51376, 51182, 51824, 51558, 51470, 55527, 73505, 51088, 51470, 55527, 73380, 52601, 51470, 56065, 51824, 51088, 51254, 51600, 51470, 51284, 51470, 55527, 68987, 51088, 51470, 55527, 51376, 50799, 52494, 52149, 53958, 52250, 53339, 51159, 53883, 51056, 51182, 50833, 76537, 51088, 51048, 55527, 51048, 50417, 51558, 50858, 51384, 53113, 51558, 50808, 51384, 52296, 51558, 50808, 51384, 52450, 51558, 50840, 51384, 50840, 51357, 51167, 60630, 51167, 50429, 51558, 50840, 51384, 53810, 51558, 50840, 51384, 55782, 51558, 50840, 51384, 50840, 75352, 55120, 54773, 61249, 52821, 63647, 53454, 51558, 50840, 51384, 50840, 51182, 51055, 56199, 51055, 50441, 51558, 50840, 51384, 54400, 51558, 50840, 51384, 55761, 51558, 50840, 51384, 53688, 51558, 50840, 51384, 50840, 51107, 51110, 55120, 51178, 50453, 51558, 50840, 51384, 54166, 51558, 50840, 51384, 56249, 51558, 50840, 51384, 50840, 51357, 50833, 60630, 50833, 50799, 51558, 50840, 51384, 50840, 51088, 50937, 55527, 50937, 50417, 51558, 50840, 51384, 54507, 51558, 50840, 51384, 50840, 65870, 56847, 52296, 51558, 50840, 51384, 50840, 51357, 50859, 60630, 53950, 51558, 50840, 51384, 50840, 75186, 54713, 57781, 51558, 50840, 51384, 50840, 51107, 50859, 55120, 51628, 51558, 50840, 51384, 50840, 51266, 50859, 57921, 52262, 51558, 50840, 51384, 50840, 72224, 65466, 54773, 51558, 50840, 51384, 50840, 51182, 50948, 56199, 50924, 50441, 51558, 50840, 51384, 54400, 51558, 50840, 51384, 50840, 51107, 50937, 55120, 79860, 51558, 50840, 51384, 53688, 51558, 50840, 51384, 50840, 51357, 50917, 60630, 76596, 51558, 50840, 51384, 54166, 51558, 50840, 51384, 50840, 51088, 50977, 55527, 78970, 51558, 50840, 51384, 50840, 50799, 52795, 53002, 52900, 53002, 57849, 53002, 77348, 53073, 51304, 50809, 51733, 50887, 51299, 51109, 60244, 51109, 50417, 51304, 50809, 51733, 55777, 51304, 50809, 51733, 57851, 51304, 50809, 51733, 54818, 51304, 50809, 51733, 50887, 51301, 51175, 59813, 51175, 50429, 51304, 50809, 51733, 54937, 51304, 50809, 51733, 59046, 51304, 50809, 51733, 50887, 51088, 50859, 55527, 54362, 51304, 50840, 51733, 50840, 51093, 51055, 54713, 51055, 50441, 51304, 50840, 51733, 54400, 51304, 50840, 51733, 55761, 51304, 50840, 51733, 53688, 51304, 50840, 51733, 50840, 51088, 51178, 55527, 51110, 50453, 51304, 50840, 51733, 54166, 51304, 50840, 51733, 56249, 51304, 50840, 51733, 50840, 51301, 50833, 59813, 50833, 50799, 51304, 50840, 51733, 50840, 51299, 50937, 60244, 50937, 50417, 51304, 50840, 51733, 54507, 51304, 50840, 51733, 50840, 75848, 58942, 52296, 51304, 50840, 51733, 50840, 51301, 50859, 59813, 53950, 51304, 50840, 51733, 50840, 51154, 50858, 55840, 58129, 51304, 50840, 51733, 50840, 51088, 50859, 55527, 51628, 51304, 50840, 51733, 50840, 51113, 50859, 56847, 56535, 51304, 50840, 51733, 50840, 51357, 50859, 60630, 54773, 51304, 50840, 51733, 50840, 51093, 50948, 54713, 50924, 50441, 51304, 50840, 51733, 54400, 51304, 50840, 51733, 50840, 51182, 51030, 56199, 51030, 50447, 51304, 50840, 51733, 53688, 51304, 50840, 51733, 50840, 51266, 50938, 57921, 77658, 51304, 50840, 51733, 54166, 51304, 50840, 51733, 50840, 51093, 50937, 54713, 78970, 51304, 50840, 51733, 50840, 50799, 52494, 52024, 53958, 52024, 61249, 52024, 63647, 52149, 51558, 50836, 51384, 71247, 51267, 55527, 51267, 50417, 51558, 50836, 51384, 54402, 51558, 50836, 51384, 55155, 51558, 50836, 51384, 53425, 51558, 50836, 51384, 50836, 51357, 51175, 60630, 51175, 50429, 51558, 50836, 51384, 53695, 51558, 50836, 51384, 55310, 51558, 50836, 51384, 50836, 75352, 55120, 54773, 51558, 50840, 51384, 50840, 51182, 51055, 56199, 51055, 50441, 51558, 50840, 51384, 54400, 51558, 50840, 51384, 55761, 51558, 50840, 51384, 53688, 51558, 50840, 51384, 50840, 51107, 51178, 55120, 51178, 50453, 51558, 50840, 51384, 54166, 51558, 50840, 51384, 56249, 51558, 50840, 51384, 50840, 51357, 50833, 60630, 50833, 50799, 51558, 50840, 51384, 50840, 51088, 50937, 55527, 50937, 50417, 51558, 50840, 51384, 54507, 51558, 50840, 51384, 50840, 65870, 56847, 52296, 51558, 50840 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 2382, 3459, 8669, 6, 3459, 9590, 6, 2342, 4467, 6, 32909, 6, 8, 4401, 757, 3178, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 20425, 12447, 1001, 20889, 4, 20, 2214, 7630, 6568, 10, 2365, 8, 1619, 12, 3341, 5466, 6, 19, 5, 40286, 230, 406, 8, 274, 8165, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50796, 50796, 51601, 52336, 51472, 51251, 51801, 50416, 51154, 51801, 51165, 51801, 50429, 51170, 63633, 51170, 66640, 51170, 61562, 51509, 51103, 50439, 51170, 60895, 51170, 65454, 51170, 60966, 51170, 71483, 51170, 52846, 51170, 66730, 51170, 61021, 51170, 57534, 51170, 54603, 51170, 50835, 79821, 76226, 51170, 62238, 51170, 60776, 51170, 54951, 51170, 52966, 51170, 50908, 50428, 51170, 62618, 51170, 53814, 51170, 54950, 51170, 58286, 51170, 52904, 52067, 50967, 50440, 51170, 67387, 51170, 53384, 51170, 60402, 51579, 51238, 50447, 51170, 57855, 51170, 69909, 51170, 60202, 51170, 64360, 51509, 50967, 50457, 51170, 56232, 51170, 50928, 79821, 50928, 50416, 51485, 52195, 71855, 77940, 51170, 65587, 51170, 78572, 51170, 77662, 51170, 64044, 51170, 66284, 51170, 63633, 51170, 68210, 51170, 53018, 51170, 67264, 51170, 60362, 51170, 57013, 51170, 53528, 51170, 52743, 51170, 64125, 51170, 59699, 51170, 58901, 51170, 54603, 51170, 56834, 51170, 50837, 51601, 51485, 50936, 50416, 51170, 66478, 51170, 60156, 51170, 54951, 51170, 62184, 51485, 56346, 51170, 50908, 50428, 51170, 62169, 51509, 51158, 51170, 61689, 51170, 60591, 51170, 54114, 51170, 76779, 51170, 72536, 51509, 51173, 50443, 51170, 59892, 51170, 63078, 51170, 57855, 51485, 67876, 51170, 50908, 50452, 51170, 61733, 51170, 63917, 51170, 61824, 51113, 51080, 51299, 51283, 51170, 50908, 67719, 50980, 50415, 51170, 57226, 51170, 53420, 51170, 54951, 51170, 59045, 51485, 55300, 50908, 50428, 51170, 66284, 51170, 53814, 51485, 51013, 50433, 51170, 68210, 51251, 51243, 51165, 51080, 51170, 65004, 51170, 72536, 51170, 54485, 51170, 59892, 51509, 51189, 50447, 51170, 61244, 51170, 50908, 50452, 51170, 62476, 51170, 62662, 51170, 55397, 51170, 50870, 79821, 76965, 51170, 66478, 51170, 52944, 51170, 53868, 51170, 58646, 51170, 58245, 51170, 58027, 51170, 52767, 51170, 54248, 51170, 57667, 51170, 53018, 52336, 50879, 50440, 51170, 59457, 51170, 59002, 51170, 54914, 51170, 60145, 51170, 70738, 51170, 61634, 51170, 63367, 51170, 63414, 51170, 50870, 51601, 51170, 70637, 51170, 54213, 51509, 50879, 51170, 54951, 51170, 52872, 51170, 74031, 51170, 55028, 52336, 50924, 50431, 51170, 59383, 51170, 57413, 52067, 50879, 51170, 73052, 51170, 59457, 51170, 53594, 51509, 50910, 51170, 53528, 51170, 60068, 51170, 56597, 52067, 50924, 50454, 51170, 53555, 51170, 56013, 51579, 75010, 56834, 51170, 50870, 51809, 51170, 59527, 51641, 80045, 53405, 51170, 53109, 51170, 52872, 51579, 50925, 51170, 65368, 51170, 62169, 51170, 58803, 51509, 63977, 63122, 51170, 65004, 51170, 50908, 50440, 51485, 54134, 51170, 53858, 51170, 63157, 51509, 64201, 51170, 71483, 51170, 53166, 51170, 50908, 50452, 51641, 58639, 51170, 61634, 51170, 63917, 51170, 56047, 51431, 63357, 51170, 50863, 79821, 76965, 51170, 61252, 51641, 61134, 51170, 53420, 51170, 58409, 51170, 53991, 51485, 51173, 50425, 51170, 59741, 51170, 57265, 51170, 62000, 51723, 62109, 51170, 59383, 51170, 57514, 51170, 53115, 52039, 51178, 50439, 51170, 59457, 51170, 59892, 51170, 58394, 52334, 51295, 50447, 51170, 57855, 51170, 67512, 51170, 64360, 51170, 58908, 51170, 67828, 51170, 50891, 79821, 65926, 51170, 61844, 51170, 59109, 51170, 55375, 51170, 52966, 51170, 50908, 50428, 51170, 62618, 51170, 58803, 51485, 75010, 54950, 51170, 57892, 51170, 60470, 51170, 61118, 51170, 59002, 51485, 64482, 51170, 61333, 51170, 52763, 51170, 70738, 51509, 50910, 51170, 59713, 51170, 59044, 51170, 59175, 51170, 50837, 79821, 67722, 51509, 50910, 51170, 64159, 51170, 59490, 51170, 53899, 51485, 80045, 52712, 51170, 57265, 51170, 58734, 51170, 59516, 51299, 51627, 51113, 51627, 51154, 51627, 51170, 59572, 51641, 80045, 52904, 51170, 55788, 51170, 53384, 51170, 54673, 51170, 57855, 51641, 80045, 66730, 51170, 67827, 51170, 62107, 51170, 54600, 51251, 51801, 51165, 51801, 51154, 51801, 50461, 51170, 50908, 76634, 61682, 56260, 51485, 51623, 71855, 63059, 56455, 53744, 51170, 52870, 56150, 51187, 61682, 56455, 57517, 50846, 51361, 56455, 50828, 51450, 64678, 59325, 51180, 56093, 53068, 56150, 56921, 51406, 56494, 56289, 53173, 51441, 51117, 50828, 51528, 64678, 51406, 56455, 62456, 56455, 54477, 51170, 53855, 56150, 56921, 51406, 56093, 56289, 50846, 51361, 56494, 50839, 51450, 64678, 59325, 51180, 56455, 53711, 56150, 51187, 61682, 56494, 54094, 53173, 50843, 56494, 50839, 66140, 51801, 51107, 51801, 51154, 51080, 51096, 50940, 52553, 61682, 56455, 58487, 51485, 56763, 51185, 50836, 51530, 50836, 53463, 50836, 51096, 50948, 65683, 53855, 51509, 68052, 51173, 56150, 56921, 51406, 56494, 54912, 52927, 51485, 50806, 51185, 50812, 51530, 50836, 53463, 50836, 65683, 53294, 51186, 50893, 52553, 61682, 53041, 51485, 50924, 51530, 64779, 50836, 53463, 50836, 65683, 53595, 51509, 51013, 51530, 64779, 50836, 53463, 50836, 76976, 56150, 56921, 51406, 56494, 54912, 53173, 51185, 50836, 51530, 50836, 53463, 50836, 66308, 51441, 51117, 50841, 64934, 51073, 51096, 50940, 52553, 61682, 56093, 52432, 51185, 50836, 51530, 50836, 53463, 50836, 51096, 50940, 66385, 53855, 51509, 50893, 63042, 56150, 51187, 61682, 56494, 56289, 52927, 51185, 50836, 51530, 50836, 53463, 50836, 51186, 50893, 65683, 57201, 52336, 51073, 51450, 64678, 51406, 53041, 51185, 50836, 51530, 50836, 53463, 50836, 66308, 52261, 50445, 51509, 51294, 50447, 51170, 53595, 51185, 50836, 51530, 50836, 53463, 50836, 51096, 51173, 56150, 56921, 51406, 56494, 54912, 53173, 51530, 64779, 50836, 53463, 55250, 56494, 50841, 53596, 53393, 51041, 61682, 56093, 57056, 51485, 68360, 51185, 50836, 51530, 50836, 53463, 50836, 51096, 50948, 65683, 54104, 51170, 52870, 51485, 50911, 66308, 56150, 51187, 61682, 56494, 57517, 52927, 53463, 64779, 50836, 51530, 50836, 65683, 61361, 51509, 55122, 51186, 50893, 51728, 51459, 51406, 53041, 51509, 51013, 51185, 50836, 51530, 50836, 53463, 50836, 65683, 52396, 51096, 51173, 56150, 51187, 61682, 56093, 55211, 53173, 51485, 50952, 53463, 64779, 50836, 51530, 50836, 65683, 60744, 51113, 51080, 51093, 51627, 67719, 51345, 61882, 51728, 51459, 51406, 56093, 52761, 51092, 50836, 51530, 50836, 52110, 50836, 61882, 66385, 52437, 51485, 50841, 52110, 66146, 50828, 51530, 50836, 50945, 51175, 56150, 56921, 51406, 56494, 54912, 50846, 51361, 56455, 57201, 51485, 51735, 50437, 51165, 51801, 51107, 51801, 50438, 51186, 50940, 51728, 51459, 51406, 53041, 51185, 50836, 51530, 50836, 53463, 50836, 51186, 50948, 65683, 63228, 51509, 70233, 51530, 64779, 50836, 53463, 50836, 50945, 51175, 56150, 56921, 51406, 56494, 55304, 53173, 51530, 64779, 50836, 53463, 55250, 56093, 53902, 51236, 50828, 53596, 50940, 52553, 61682, 56455, 55614, 51485, 51354, 50420, 51185, 50836, 51530, 50836, 53463, 50836, 51096, 50948, 65683, 55800, 51509, 50879, 50945, 51173, 56150, 51187, 61682, 56494, 54912, 52927, 51485, 50924, 51185, 50836, 51530, 50836, 53463, 50836, 66385, 52565, 51186, 50893, 51728, 51459, 51406, 53041, 51485, 50940, 51185, 50836, 51530, 50836, 53463, 52217, 54926, 51170, 55254, 51509, 51013, 51185, 50836, 51530, 50836, 53463, 50836, 76976, 56150, 51187, 61682, 56494, 55304, 53173, 51185, 50836, 51530, 50836, 53463, 50836, 50945, 59893, 56093, 50895, 64934, 50858, 51096, 50940, 52553, 61682, 56455, 52432, 51485, 50940 ]
[ 0, 250, 33928, 8, 33558, 3495, 2214, 19, 10, 1619, 16464, 6, 278, 11, 5, 762, 9, 12608, 538, 8, 702, 23, 41, 12447, 1001, 20889, 4, 6208, 38645, 8, 3459, 29589, 483, 5, 33301, 6, 2800, 30, 3459, 9590, 8, 21072, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 19, 5, 40286, 274, 8, 12608, 8165, 5705, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50796, 50799, 51513, 50917, 51781, 51328, 51325, 51714, 50885, 51313, 50979, 52071, 50992, 52151, 50798, 50375, 53323, 50941, 60043, 51313, 51298, 75272, 51513, 65647, 51781, 53450, 51536, 62109, 51781, 53264, 52459, 53969, 51536, 68465, 51781, 61327, 51513, 50978, 50799, 51729, 50938, 51659, 51328, 51213, 51151, 51037, 51313, 51017, 52071, 50944, 52151, 51321, 56630, 73821, 50939, 51313, 51125, 75272, 51729, 65647, 51659, 53450, 51543, 62109, 51659, 53264, 51780, 53969, 51543, 68465, 51659, 61327, 51729, 50978, 50799, 51513, 50917, 51781, 51328, 50885, 51313, 50979, 52071, 50992, 52151, 51321, 55136, 50857, 60043, 51313, 51298, 75272, 51513, 65647, 51781, 53450, 51536, 51100, 51325, 51692, 50432, 51781, 53264, 52459, 53969, 51536, 68465, 51781, 61327, 51513, 50978, 50799, 51729, 50938, 51659, 51328, 51037, 51313, 51017, 52071, 50944, 52151, 51321, 54880, 70691, 50939, 51313, 51125, 75272, 51729, 66401, 51659, 53906, 51543, 51100, 51213, 51790, 50432, 51659, 53264, 51780, 53969, 51659, 58262, 51659, 51159, 50799, 51781, 51110, 51513, 51058, 51325, 53295, 50885, 55408, 50979, 55277, 50992, 55408, 50798, 50375, 53323, 50941, 60043, 55408, 51298, 55408, 50420, 51513, 65647, 51781, 53450, 51536, 57066, 51536, 53264, 57463, 53969, 54674, 58248, 52652, 61327, 51536, 50978, 50799, 51781, 50849, 51513, 70997, 51781, 65647, 51536, 53450, 52652, 57066, 54674, 53264, 57463, 53969, 54674, 58248, 52652, 61327, 51536, 50978, 50799, 52031, 50948, 51325, 51351, 50885, 51337, 51298, 62344, 61678, 51337, 60490, 50856, 53970, 58793, 52031, 51226, 51298, 52347, 50307, 64705, 61185, 75309, 64367, 61497, 71933, 71104, 50909, 55296, 57203, 50885, 51337, 76080, 64045, 51298, 51097, 50909, 51484, 50856, 54327, 52658, 51334, 51446, 51325, 50844, 50979, 65217, 54438, 55892, 55643, 59398, 71933, 50992, 53945, 52031, 51685, 51325, 51400, 50979, 51058, 50992, 51309, 50909, 57245, 50978, 51298, 56777, 56500, 54682, 74305, 56031, 51298, 62344, 76258, 55144, 54803, 56031, 50992, 54626, 51105, 50878, 50885, 52347, 50312, 51006, 51298, 51108, 50979, 50866, 50909, 57957, 55892, 70072, 54232, 63010, 50885, 61815, 50827, 50909, 51079, 50856, 71402, 57490, 67983, 61388, 55563, 51351, 50885, 51523, 50319, 62344, 61678, 51337, 60490, 50856, 52923, 53066, 54503, 51013, 51298, 59599, 51006, 69076, 50979, 54546, 59295, 58116, 61497, 71933, 50992, 55296, 56323, 50885, 51337, 76080, 64045, 51298, 51108, 50909, 51576, 50816, 55892, 53998, 52004, 51013, 51325, 50844, 50979, 65217, 54438, 59260, 56524, 59398, 71933, 50992, 53945, 51325, 51400, 50979, 51058, 50992, 51309, 50909, 57245, 50978, 51298, 56777, 53110, 55434, 51893, 51290, 74305, 56031, 51298, 62344, 76258, 55164, 57298, 56031, 50992, 54626, 51105, 50866, 50885, 52347, 50312, 51199, 51298, 51108, 50979, 50866, 50909, 57957, 56500, 61568, 54194, 52031, 50879, 51325, 50844, 50979, 57847, 59985, 51079, 50856, 56061, 50941, 50799, 51934, 50924, 51105, 51351, 51037, 51337, 51125, 62344, 56238, 51337, 50939, 63781, 53970, 58793, 51934, 50807, 51125, 52347, 50307, 62834, 61185, 75309, 64367, 51037, 50886, 71933, 61311, 50939, 55296, 57203, 51037, 51337, 76080, 57230, 51125, 51097, 50939, 51484, 50856, 54327, 52658, 52031, 50893, 51096, 50822, 50979, 57932, 54438, 55892, 55643, 63818, 71933, 50847, 53945, 51408, 51359, 51934, 51655, 51105, 51267, 50979, 51058, 50847, 51309, 50939, 69178, 50978, 51125, 56777, 56500, 54682, 51037, 51376, 58287, 51125, 62344, 76258, 55144, 55118, 58287, 50847, 54626, 51096, 50866, 51037, 60025, 51006, 51125, 51108, 50979, 50866, 50939, 57957, 55892, 70072, 53176, 50945, 50844, 63010, 51037, 56785, 50827, 50939, 51079, 50856, 71402, 56573, 67983, 56538, 53870, 51351, 51037, 65226, 62344, 56238, 51337, 50939, 63781, 52923, 53066, 51125, 52347, 50314, 51006, 51037, 50941, 50979, 54546, 59295, 58116, 51037, 50886, 71933, 50847, 55296, 56323, 51037, 51337, 76080, 57230, 51125, 51108, 50939, 51576, 50816, 55892, 53998, 51096, 50874, 50979, 65217, 56777, 59260, 56524, 63818, 50979, 53980, 51105, 51109, 50979, 51058, 50847, 51309, 50939, 69178, 50978, 51125, 56777, 53110, 55434, 51934, 69964, 51376, 58287, 51125, 62344, 76258, 55164, 57298, 58287, 50847, 54626, 51408, 50879, 51096, 50866, 51037, 60025, 51199, 51125, 51108, 50979, 50866, 50939, 57957, 56500, 61568, 54194, 51334, 62872, 67842, 62932, 51079, 50856, 56061, 50941, 50799, 51934, 50924, 51105, 51351, 51037, 51337, 51125, 62344, 56238, 51337, 50939, 63781, 53970, 58793, 51934, 50807, 51125, 52347, 50307, 62834, 61185, 75309, 64367, 51037, 50886, 71933, 61311, 50939, 55296, 57203, 51037, 51337, 76080, 57230, 51125, 51097, 50939, 51484, 50856, 54327, 52658, 52031, 50893, 51096, 50874, 50979, 57932, 54438, 55892, 55643, 63818, 71933, 50847, 53945, 51408, 51675, 51934, 51896, 51105, 51109, 50979, 51058, 50847, 51309, 50939, 69178, 50978, 51125, 56777, 56500, 54682, 51037, 51376, 58287, 51125, 62344, 76258, 55144, 55876, 58287, 50847, 54626, 51096, 50866, 51037, 60025, 51006, 51125, 51108, 50979, 50866, 50939, 57957, 55892, 70072, 52863, 63010, 51037, 56785, 50827, 50939, 51079, 50856, 71402, 56573, 67983, 56538, 53870, 51351, 51037, 65226, 62344, 56238, 51337, 50939, 63781, 52923, 53066, 52004, 51013, 51125, 52347, 50314, 51006, 51037, 50941, 50979, 54546, 59295, 58116, 51037, 50886, 71933, 50847, 55296, 56323, 51037, 51337, 76080, 57230, 51125, 51108, 50939, 51576, 50816, 55892, 53998, 51893, 50865, 51096, 50874, 50979, 50857, 57230, 50798, 59260, 56524, 63818, 50979, 53980, 51893, 50795, 51105, 51109, 50979, 51058, 50847, 51309, 50939, 69178, 50978, 51125, 56777, 53110, 55434, 52031, 78335, 51376, 58287, 51125, 62344, 76258, 55164, 57298, 58287, 50847, 54626, 51096, 50866, 51037, 60025, 51199, 51125, 51108, 50979, 50866, 50939, 57957, 56500, 61568, 53820, 51934, 57132, 67842, 62932, 51079, 50856, 56061, 50941, 79479, 51291, 51674, 51397, 51325, 51351, 50885, 51337, 51298, 62344, 61678, 51337, 60490, 50856, 53970, 58793, 51298, 52347, 50307, 64705, 61185, 75309, 64367, 61497, 71933, 71104, 50909, 55296, 57203, 50885, 51337, 76080, 64045, 51298, 51097, 50909, 51484, 50856, 54327, 52658, 52031, 51060, 51105, 50844, 50979, 65217, 54438, 55892, 55643, 59398, 71933, 50992, 53945, 51674, 51675, 51334, 51896, 51325, 51400, 50979, 51058, 50992, 51309, 50909, 57245, 50978, 51298, 56777, 56500, 54682, 74305, 56031, 51298, 62344, 76258, 55144, 56888, 56031, 50992, 54626, 51105, 50878, 50885, 52347, 50312, 51006, 51298, 51108, 50979, 50866, 50909, 57957, 55892, 70072, 54194, 63010, 50885, 61815, 50827, 50909, 51079, 50856, 71402, 54846, 67983, 61388, 55563, 51351, 50885, 51523, 50319, 62344, 61678, 51337, 60490, 50856, 52923, 53066, 51298, 59599, 51006, 69076, 50979, 54546, 59295, 58116, 61497, 71933, 50992, 55296, 56323, 51674, 51060, 50885, 51337, 76080, 64045, 51298, 51108, 50909, 51576, 50816, 55892, 53998, 51408, 51100, 51105, 50844, 50979, 65217, 54438, 59260, 56524, 59398, 71933, 50992, 53945, 51334, 51177, 52031, 51158, 51325, 51400, 50979, 51058, 50992, 51309, 50909, 57245, 50978, 51298, 56777, 53110, 55434, 51893, 51060, 74305, 56031, 51298, 62344, 76258, 55164, 57298, 56031, 50992, 54626, 54503, 51060, 51105, 50878, 50885, 52347, 50312, 51199 ]
[ 0, 250, 3152, 2214, 19, 3495, 16882, 6, 4246, 10, 11739, 9, 6755, 12547, 6, 36075, 8669, 6, 21979, 8669, 6, 17691, 28430, 6, 8, 21072, 4, 8504, 11, 83, 538, 8, 1375, 23, 10, 23667, 27841, 139, 20889, 6, 24, 18, 10, 13363, 28191, 15229, 14, 17172, 2933, 223, 34693, 19, 15352, 30054, 33083, 6, 2351, 10, 2216, 5466, 4, 20, 2125, 3905, 10, 204, 73, 306, 86, 6543, 8, 24536, 10, 33215, 16739, 9, 381, 6, 230, 10431, 119, 6, 211, 73, 250, 6, 8, 163, 73, 597, 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 ]	[ 65919, 51708, 66489, 51708, 65031, 51708, 63758, 51708, 51072, 64680, 66489, 51708, 65031, 51708, 63758, 51708, 51072, 64680, 69277, 52448, 54107, 51708, 60396, 53663, 51708, 63759, 52448, 54145, 51708, 60396, 50824, 64680, 69277, 52448, 54107, 51708, 60396, 53663, 51708, 63759, 52448, 54145, 51708, 60396, 50824, 64680, 51072, 50947, 51650, 52448, 54226, 51076, 52910, 51708, 60396, 53566, 51316, 53663, 51708, 63759, 52448, 53681, 51169, 52728, 51708, 60396, 54098, 71048, 64680, 69277, 52448, 54226, 51076, 52910, 51708, 60396, 53566, 51316, 53663, 51708, 63759, 52448, 53681, 51169, 52728, 51708, 60396, 54098, 71048, 64680, 69277, 52448, 54226, 51076, 52910, 51708, 60396, 53566, 51316, 53663, 51708, 63759, 52448, 53681, 51169, 52728, 51708, 60396, 54098, 71048, 64680, 51072, 51216, 77860, 55848, 60726, 51076, 52910, 51708, 78786, 57421, 51316, 53663, 51708, 63759, 55848, 61726, 51169, 52728, 51708, 78786, 50824, 50799, 51229, 64014, 54774, 59739, 61912, 51590, 52910, 51216, 52448, 53566, 51934, 53663, 51216, 54565, 52448, 53681, 51674, 52728, 51216, 52448, 54098, 51229, 50807, 54389, 54774, 52448, 54226, 51590, 52910, 51216, 52448, 53566, 51934, 53663, 51216, 54565, 52448, 53681, 51674, 52728, 51216, 52448, 54098, 51229, 50807, 54389, 50824, 52355, 54774, 52448, 54226, 51590, 52910, 65206, 52355, 52448, 53566, 51934, 53663, 65206, 52824, 75038, 52448, 53681, 51674, 52728, 51216, 52448, 54098, 51229, 50807, 54389, 50824, 52549, 60288, 52448, 54226, 51590, 52910, 51216, 52448, 53566, 51934, 53663, 65206, 52285, 75038, 55848, 58141, 51674, 52728, 51216, 69478, 50799, 51547, 50795, 51705, 50824, 52933, 54774, 52448, 54226, 51674, 52910, 51705, 50824, 53101, 52448, 53566, 51229, 53663, 51705, 50824, 53101, 51352, 50816, 52448, 53681, 51366, 52728, 51705, 52448, 54098, 51547, 50807, 59298, 54774, 52448, 54226, 51674, 52910, 51705, 52448, 53566, 51229, 53663, 51705, 54565, 52448, 53681, 51366, 52728, 51705, 52448, 54098, 51547, 50807, 59298, 50824, 53101, 54774, 52448, 54226, 51674, 52910, 51705, 50824, 53101, 51331, 53566, 51229, 50824, 52285, 53663, 51705, 54565, 52448, 53681, 51366, 50807, 52285, 54145, 51705, 52448, 54098, 51547, 50807, 51900, 50824, 59298, 54774, 52448, 54226, 51674, 50807, 51900, 54107, 51705, 52448, 53566, 51229, 50824, 52549, 53663, 51705, 54565, 55848, 58141, 51366, 50807, 52824, 52175, 51705, 50824, 52549, 55886, 50824, 50799, 51229, 64014, 50824, 52549, 52442, 50801, 52448, 54226, 51590, 52910, 51216, 52448, 53566, 51934, 53663, 51216, 54565, 52448, 53681, 51674, 52728, 51216, 52448, 54098, 51229, 50807, 54389, 54774, 52448, 54226, 51590, 52910, 51216, 52448, 53566, 51934, 53663, 51216, 54565, 52448, 53681, 51674, 52728, 51216, 52448, 54098, 51229, 50807, 54389, 50824, 52355, 54774, 52448, 54226, 51590, 52910, 65206, 52355, 57838, 53566, 51934, 53663, 51216, 54565, 52448, 53681, 51674, 52728, 65206, 52824, 52448, 54098, 51229, 50807, 54389, 50824, 52549, 54774, 52448, 54226, 51590, 52910, 65206, 52549, 52448, 53566, 51934, 53663, 65206, 52285, 75038, 55848, 58141, 51674, 52728, 51216, 69478, 50799, 51547, 50795, 51705, 50824, 54063, 54774, 52448, 54226, 51674, 52910, 51705, 50824, 52515, 52448, 53566, 51229, 53663, 51705, 50824, 52515, 51795, 50816, 52448, 53681, 51366, 52728, 51705, 52448, 54098, 51547, 50807, 59298, 54774, 52448, 54226, 51674, 52910, 51705, 52448, 53566, 51229, 53663, 51705, 54565, 52448, 53681, 51366, 52728, 51705, 52448, 54098, 51547, 50807, 59298, 50824, 53101, 54774, 52448, 54226, 51674, 52910, 51705, 50824, 53101, 51331, 53566, 51229, 50824, 52285, 53663, 51705, 54565, 52448, 53681, 51366, 50807, 52285, 54145, 51705, 52448, 54098, 51547, 50807, 51900, 50824, 59298, 54774, 52448, 54226, 51674, 50807, 51900, 54107, 51705, 52448, 53566, 51229, 50824, 52549, 53663, 51705, 54565, 55848, 58141, 51366, 50807, 52824, 52175, 51705, 50824, 52549, 69478, 50799, 51547, 69535, 50824, 51900, 52442, 50801, 52448, 54226, 51674, 52910, 51389, 52448, 53566, 51229, 53663, 51389, 54565, 52448, 53681, 51366, 52728, 51389, 52448, 54098, 51547, 50807, 56950, 54774, 52448, 54226, 51674, 52910, 51389, 52448, 53566, 51229, 53663, 51389, 54565, 52448, 53681, 51366, 52728, 51389, 52448, 54098, 51547, 50807, 56950, 50824, 53101, 54774, 52448, 54226, 51674, 52910, 71603, 53101, 51331, 53566, 51229, 50824, 52285, 53663, 51389, 54565, 52448, 53681, 51366, 50807, 52285, 54145, 51389, 52448, 54098, 51547, 50807, 51900, 50824, 56950, 54774, 52448, 54226, 51674, 50807, 51900, 54107, 51389, 52448, 53566, 51229, 50824, 52549, 53663, 51389, 54565, 55848, 58141, 51366, 50807, 52824, 52175, 71603, 52549, 69478, 50799, 51366, 50795, 51984, 50824, 51900, 54217, 54111, 52590, 52448, 54226, 51547, 50807, 52874, 52038, 51984, 50824, 54111, 51331, 53566, 51674, 50824, 52874, 52125, 51984, 50824, 54111, 52677, 52448, 53681, 51366, 50807, 52874, 52175, 51984, 50824, 54111, 51331, 54098, 51366, 50807, 52874, 50802, 69899, 50824, 54111, 52590, 52448, 54226, 51547, 50807, 52874, 52038, 51984, 50824, 54111, 51331, 53566, 51674, 50824, 52874, 52125, 51984, 50824, 54111, 52677, 52448, 53681, 51366, 50807, 52874, 52175, 51984, 50824, 54111, 51331, 54098, 51366, 50807, 52874, 50802, 69899, 50824, 54111, 52590, 52448, 54226, 51547, 50807, 52874, 52038, 51984, 50824, 52285, 50824, 54111, 51331, 53566, 51674, 50824, 52874, 52125, 51984, 50824, 52933, 50824, 54111, 52677, 55848, 58141, 51366, 50807, 52874, 52175, 51984, 50824, 52285, 50824, 54111, 52319, 58705, 51366, 50807, 52874, 50802, 69899, 50824, 52933, 50824, 54111, 52590, 52448, 54226, 51547, 50807, 52874, 52038, 51984, 50824, 52285, 50824, 54111, 51331, 53566, 51674, 50824, 52874, 52590, 53663, 51984, 50824, 52933, 50824, 54111, 52677, 55848, 58141, 51366, 50807, 52874, 52175, 51984, 50824, 52933, 50824, 54111, 52319, 54098, 52874, 50802, 54389, 50824, 52515, 52442, 51296, 51732, 52874, 51492, 50946, 51109, 69014, 50850, 66778, 59739, 74899, 51216, 62988, 59790, 57588, 55325, 53566, 50946, 59790, 57588, 54014, 51216, 62988, 51109, 69014, 69816, 50816, 52448, 54145, 51216, 62988, 59790, 57588, 55325, 54098, 50946, 59790, 57588, 50866, 54389, 62988, 51109, 69014, 50850, 66778, 52448, 54107, 51216, 62988, 59790, 57588, 55325, 53566, 50946, 59790, 57588, 54014, 51216, 62988, 51109, 69014, 69816, 50816, 52448, 54145, 65206, 52285, 62988, 59790, 57588, 55325, 54098, 50946, 59790, 57588, 50866, 54389, 50824, 55360, 51870, 50946, 51109, 69014, 50850, 66778, 52448, 54107, 51216, 62988, 59790, 57588, 55325, 53566, 50946, 59790, 57588, 54014, 65206, 52515, 62988, 51109, 69014, 69816, 50816, 52448, 54145, 65206, 52515, 51009, 50946, 59790, 57588, 55325, 54098, 50946, 59790, 57588, 50866, 54389, 62988, 51109, 69014, 50850, 66778, 52448, 54107, 65206, 52933, 62988, 59790, 57588, 55325, 53566, 50946, 59790, 57588, 54014, 65206, 52933, 50824, 54063, 51108, 50946, 51109, 69014, 69816, 50816, 55848, 56508, 65206, 52515, 51184, 55360, 51449, 50946, 59790, 57588, 55571, 54098, 50946, 59790, 57588, 50866, 60294, 50824, 51473, 51732, 56513, 51492, 50944, 51109, 51125, 51109, 51840, 66778, 59739, 74899, 51868, 50824, 75251, 51125, 50866, 51840, 55325, 53566, 75251, 51125, 50866, 51840, 54014, 51868, 50824, 50944 ]
[ 0, 250, 5679, 26709, 8, 19448, 5175, 2214, 19, 10, 2842, 9, 1365, 6288, 6, 4246, 10, 13305, 6, 38668, 3038, 6, 38668, 11212, 6, 8, 6168, 3540, 4, 8504, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 1918, 6, 274, 6, 8, 230, 73, 534, 3639, 7, 5, 3366, 219, 8, 23975, 5466, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 71243, 52115, 71243, 51631, 71243, 51736, 56243, 51646, 71243, 51918, 71243, 51798, 71243, 51923, 71243, 50795, 53807, 50807, 50799, 71243, 52115, 61584, 50795, 53775, 51631, 71243, 50795, 54173, 53182, 50750, 50289, 51646, 50750, 50290, 50795, 53775, 51918, 73873, 50795, 53136, 52728, 66420, 51923, 71243, 50795, 50799, 71243, 52115, 71243, 51631, 71243, 51736, 56243, 51646, 71243, 51918, 71243, 51798, 71243, 51923, 71243, 50795, 53807, 51112, 50799, 71243, 52115, 61584, 50795, 53775, 51631, 71243, 50795, 54173, 51736, 50750, 50289, 51646, 50750, 50290, 50795, 53775, 51918, 73873, 50795, 54142, 50983, 53136, 58624, 66420, 51923, 71243, 50795, 50799, 71243, 52115, 71243, 51631, 71243, 51736, 56243, 51646, 71243, 51918, 71243, 51798, 71243, 51923, 71243, 50795, 53807, 50807, 50799, 71243, 52115, 61584, 50795, 53775, 51631, 71243, 50795, 54173, 53182, 50750, 50289, 51646, 50750, 50290, 50795, 53775, 51918, 73873, 50795, 53136, 52728, 66420, 51923, 71243, 50795, 50799, 71243, 52115, 71243, 51631, 71243, 51736, 56243, 51646, 71243, 51918, 71243, 51798, 71243, 51923, 71243, 50795, 53807, 51112, 50799, 71243, 52115, 61584, 50795, 53775, 51631, 71243, 50795, 54173, 51736, 50750, 50289, 51646, 50750, 50290, 50795, 53775, 51918, 73873, 50795, 54142, 50983, 53136, 58624, 66420, 51923, 71243, 50795, 50799, 71243, 52115, 71243, 51631, 71243, 51736, 56243, 51646, 71243, 51918, 71243, 51798, 71243, 51923, 71243, 50795, 53807, 50807, 50799, 71243, 52115, 61584, 50795, 53775, 51631, 71243, 50795, 54173, 53182, 50750, 50289, 51646, 50750, 50290, 50795, 53775, 51918, 73873, 50795, 53136, 52728, 66420, 51923, 71243, 50795, 50799, 71243, 56036, 55673, 56645, 52115, 71243, 56645, 51631, 71243, 56036, 55673, 56645, 51736, 56243, 56645, 51646, 71243, 60110, 50877, 55648, 51918, 71243, 51798, 71243, 55673, 51923, 71243, 59006, 57543, 59900, 51091, 50799, 71243, 52115, 61584, 55673, 51631, 71243, 55673, 51736, 50750, 50289, 59006, 51091, 50877, 64740, 50750, 50290, 51918, 73873, 51798, 66420, 51923, 71243, 56036, 50795, 50799, 50750, 50290, 56931, 60110, 50906, 52115, 50750, 50290, 56730, 51631, 50750, 50290, 59006, 56793, 56831, 53182, 50750, 50290, 51646, 73873, 57341, 54828, 54666, 51918, 73873, 51798, 73873, 57341, 56793, 56831, 53312, 73873, 59006, 51091, 50877, 51091, 50799, 63996, 52115, 63996, 51631, 63996, 51736, 73873, 51646, 50750, 50289, 64404, 61336, 56027, 50750, 50289, 51798, 50750, 50287, 51923, 50750, 50289, 50795, 50799, 71243, 56036, 55673, 56645, 52115, 71243, 56645, 51631, 71243, 56036, 55673, 56645, 51736, 56243, 56645, 51646, 71243, 59006, 57543, 59900, 53218, 71243, 51798, 71243, 59006, 57543, 59900, 53312, 71243, 50795, 50799, 71243, 52115, 61584, 51631, 71243, 59006, 57543, 56831, 53182, 50750, 50289, 51646, 50750, 50290, 59006, 57543, 53218, 73873, 51798, 66420, 51923, 71243, 56931, 51091, 50871, 51091, 50906, 51091, 50799, 50750, 50290, 52115, 50750, 50290, 56730, 51631, 50750, 50290, 56931, 60110, 50906, 51736, 50750, 50290, 55673, 51646, 73873, 57341, 55890, 55695, 53218, 73873, 51798, 73873, 55673, 51923, 73873, 59006, 51091, 50877, 51091, 50799, 63996, 52115, 63996, 51631, 63996, 51736, 73873, 51646, 50750, 50289, 56036, 50918, 51028, 56027, 50750, 50289, 51798, 50750, 50287, 55648, 51923, 50750, 50289, 55648, 50795, 50799, 50750, 50290, 56730, 55673, 56645, 52115, 50750, 50290, 56645, 51631, 50750, 50290, 56645, 51736, 50750, 50290, 59006, 51091, 50906, 51091, 50968, 64740, 50750, 50290, 51918, 50750, 50290, 55673, 51798, 50750, 50290, 60110, 50906, 55673, 51923, 50750, 50290, 55673, 50795, 50799, 50750, 50289, 57341, 56036, 55673, 52115, 50750, 50289, 54666, 51631, 50750, 50289, 54666, 51736, 50750, 50289, 55673, 64740, 50750, 50289, 51918, 50750, 50289, 56036, 78776, 50983, 50931, 58624, 71243, 51923, 71243, 50795, 50799, 50750, 50290, 52115, 50750, 50290, 51631, 50750, 50290, 56730, 55673, 56645, 51736, 50750, 50290, 56645, 51646, 50750, 50290, 60110, 50906, 55648, 51918, 50750, 50290, 55673, 51798, 50750, 50290, 56931, 57055, 55695, 53312, 50750, 50290, 50795, 50799, 50750, 50287, 56190, 51161, 50902, 51161, 50931, 73078, 50750, 50287, 51646, 50750, 50287, 52728, 50750, 50287, 50807, 55694, 50983, 50968, 50983, 50951, 60055, 73873, 51631, 73873, 53182, 50861, 51091, 50906, 51091, 50968, 64740, 73873, 53218, 50916, 56730, 55673, 51798, 73873, 55695, 50795, 50799, 63996, 56036, 54666, 52115, 63996, 56036, 54666, 51631, 63996, 56036, 54666, 51736, 63996, 56036, 54666, 51646, 50750, 50289, 56036, 63057, 53218, 50750, 50289, 51798, 50750, 50289, 56036, 63057, 53312, 50750, 50289, 50795, 50799, 71243, 52115, 71243, 51631, 71243, 59006, 57543, 56831, 53182, 71243, 51646, 66420, 56931, 57055, 56793, 53218, 71243, 51798, 73873, 51923, 50750, 50290, 50795, 50799, 50750, 50287, 52115, 50750, 50287, 51631, 50750, 50287, 54828, 56730, 55673, 51736, 50750, 50287, 55673, 51646, 73873, 57341, 54828, 54666, 51918, 73873, 56036, 51798, 73873, 54828, 51923, 73873, 66843, 51091, 50900, 51091, 50871, 51091, 50799, 63996, 52115, 63996, 51631, 63996, 51736, 63996, 51646, 73873, 57341, 61336, 64806, 56027, 73873, 51923, 73873, 50795, 50799, 71243, 56036, 51161, 50902, 51161, 50951, 53561, 71243, 51631, 71243, 56645, 51736, 71243, 55648, 64740, 71243, 51918, 71243, 56645, 51798, 71243, 55648, 51923, 71243, 76291, 50799, 71243, 56036, 55673, 56645, 52115, 71243, 56645, 51631, 71243, 56036, 55673, 56645, 51736, 56243, 56645, 51646, 71243, 60110, 50877, 55648, 51918, 71243, 51798, 71243, 55673, 51923, 71243, 59006, 57543, 59900, 51091, 50799, 71243, 52115, 61584, 55673, 51631, 71243, 55673, 51736, 50750, 50289, 59006, 51091, 50877, 64740, 50750, 50290, 51918, 73873, 51798, 66420, 51923, 71243, 56036, 50795, 50799, 50750, 50290, 56931, 60110, 50906, 52115, 50750, 50290, 56730, 51631, 50750, 50290, 59006, 56793, 56831, 53182, 50750, 50290, 51646, 73873, 57341, 54828, 54666, 51918, 73873, 51798, 73873, 57341, 56793, 56831, 53312, 73873, 59006, 51091, 50877, 51091, 50799, 63996, 52115, 63996, 51631, 63996, 51736, 73873, 51646, 50750, 50289, 64404, 61336, 56027, 50750, 50289, 51798, 50750, 50287, 51923, 50750, 50289, 56036, 50795, 50799, 71243, 56036, 55673, 56645, 52115, 71243, 56645, 51631, 71243, 56036, 55673, 56645, 51736, 56243, 56645, 51646, 71243, 59006, 57543, 59900, 53218, 71243, 51798, 71243, 59006, 57543, 59900, 53312, 71243, 50795, 50799, 71243, 52115, 61584, 51631, 71243, 59006, 57543, 56831, 53182, 50750, 50289, 51646, 50750, 50290, 59006, 57543, 53218, 73873, 51798, 66420, 51923, 71243, 56931, 51091, 50871, 51091, 50906, 51091, 50799, 50750, 50290, 52115, 50750, 50290, 56730, 51631, 50750, 50290, 56931, 60110, 50906, 51736, 50750, 50290, 55673, 51646, 73873, 57341, 55890, 55695, 53218, 73873, 51798, 73873, 55673, 51923, 73873, 59006, 51091, 50877, 51091, 50799, 63996, 52115, 63996, 51631, 63996, 51736, 73873, 51646, 50750, 50289, 56036, 50918, 51028, 56027, 50750, 50289, 51798, 50750, 50287, 55648, 51923, 50750, 50289, 55648, 50795, 50799, 50750, 50290, 56730, 55673, 56645, 52115, 50750, 50290, 56645, 51631, 50750, 50290, 56645, 51736, 50750, 50290, 59006, 51091, 50906, 51091, 50968, 64740, 50750, 50290, 51918, 50750, 50290, 55673 ]
[ 0, 713, 8787, 3152, 15229, 6, 30291, 19, 4785, 9, 3495, 6, 1931, 21683, 41, 14899, 8, 20425, 16464, 4, 590, 10, 20902, 12447, 1001, 20889, 8, 10, 2216, 132, 73, 398, 86, 6543, 6, 24, 18, 10, 15352, 30054, 3251, 14, 18, 686, 7, 22962, 4, 20, 3459, 8669, 6, 38668, 483, 6, 3459, 9590, 6, 8, 3152, 6757, 283, 561, 21040, 9997, 6, 150, 5, 12577, 20642, 478, 3639, 41, 7152, 10619, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 1918, 406, 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 ]	[ 54458, 50426, 50636, 50432, 51401, 54300, 50444, 51208, 60866, 51020, 55345, 51083, 51212, 70973, 51043, 50420, 51268, 56307, 51083, 68181, 51193, 54233, 51061, 68247, 51083, 54058, 51023, 51241, 50456, 51061, 51377, 74290, 77769, 51401, 53466, 51282, 53308, 51401, 56300, 50444, 51208, 63589, 51020, 55670, 51083, 50892, 70973, 64965, 51268, 53172, 51083, 68181, 51193, 54233, 51061, 55945, 51083, 67426, 51023, 51351, 50456, 51061, 51267, 74290, 51233, 50420, 51401, 53172, 51282, 53387, 51401, 52903, 50444, 51208, 51158, 64994, 65458, 51020, 50805, 57381, 52961, 51083, 51111, 55156, 51111, 70973, 51215, 60390, 51215, 50420, 51268, 50805, 62365, 52483, 51083, 50849, 55156, 53308, 51193, 51175, 61297, 76183, 51061, 50873, 55562, 55322, 51083, 50845, 55156, 53562, 51023, 50807, 60390, 53312, 51061, 51121, 55562, 51121, 74290, 51100, 54486, 73965, 51401, 50917, 54601, 56800, 63029, 54837, 52605, 51401, 54300, 54601, 54300, 50444, 51208, 51215, 64994, 67702, 51020, 50849, 57381, 53702, 51083, 51212, 55156, 51212, 70973, 51110, 60390, 75258, 51268, 50849, 62365, 53466, 51083, 50901, 55156, 54777, 51193, 50879, 61297, 55122, 51061, 50873, 55562, 55322, 51083, 50901, 55156, 55125, 51023, 50807, 60390, 77910, 60491, 51289, 64360, 51289, 54038, 51061, 51121, 55562, 51121, 50457, 51289, 58182, 51289, 50837, 74290, 50873, 54486, 50873, 51289, 65533, 51289, 62016, 51289, 53203, 51401, 50873, 54601, 50873, 51289, 53910, 51289, 59761, 51289, 52905, 51282, 50849, 54837, 69012, 51289, 60568, 51289, 69544, 51289, 52975, 51401, 54300, 54601, 54300, 50433, 51289, 59873, 51289, 51031, 50436, 51289, 52676, 50804, 55380, 51208, 51215, 64994, 67702, 51020, 50901, 57381, 50901, 51206, 54070, 50879, 50953, 57676, 51443, 56094, 50456, 51083, 51177, 55156, 51177, 70973, 51048, 60390, 58006, 55633, 52115, 51268, 50849, 62365, 53466, 51083, 50901, 55156, 56794, 54777, 51193, 50879, 61297, 55122, 51061, 50849, 55562, 55163, 55548, 51055, 50444, 51083, 50845, 55156, 53562, 51023, 51159, 60390, 51159, 50852, 56974, 51061, 50873, 55562, 50873, 74290, 50873, 54486, 56895, 54416, 57487, 77599, 54601, 51428, 54851, 51282, 50849, 54837, 55163, 54259, 51401, 54300, 54601, 54300, 50438, 50852, 55732, 56646, 51208, 51111, 64994, 51111, 52936, 50948, 50945, 57322, 51020, 50849, 57381, 53834, 53072, 50917, 50953, 56094, 51443, 56094, 50456, 51083, 50901, 55156, 50901, 70973, 51110, 60390, 64544, 53072, 62340, 51268, 50977, 62365, 60086, 51083, 50987, 55156, 67011, 52605, 51193, 50873, 61297, 54233, 51061, 50866, 55562, 55571, 55548, 51055, 50444, 51083, 50845, 55156, 53562, 51023, 51095, 60390, 70808, 56974, 51061, 51177, 55562, 51177, 74290, 50977, 54486, 71589, 54416, 57487, 51401, 50873, 54601, 55732, 54851, 51282, 50849, 54837, 55163, 54259, 51401, 53090, 54601, 53090, 50438, 50852, 55732, 56646, 51208, 51215, 64994, 51215, 52936, 50948, 50945, 57322, 51020, 50901, 57381, 55998, 53072, 50917, 50953, 56094, 51443, 57676, 50456, 51083, 51177, 55156, 51177, 70973, 51048, 60390, 58006, 53072, 62340, 51268, 50849, 62365, 53466, 51083, 50901, 55156, 56794, 52605, 51193, 50879, 61297, 55122, 51061, 50849, 55562, 55163, 55548, 51055, 50444, 51083, 50845, 55156, 53562, 51023, 51159, 60390, 51159, 50852, 56974, 51061, 50873, 55562, 50873, 74290, 50873, 54486, 56895, 54416, 57487, 77599, 54601, 51428, 54851, 51282, 50849, 54837, 55163, 54259, 51401, 54454, 54601, 54454, 50438, 50852, 55732, 56646, 51208, 51111, 64994, 51111, 52936, 50948, 50945, 57322, 51020, 50849, 57381, 53834, 53072, 50917, 50953, 53898, 51443, 53898, 50456, 51083, 50901, 55156, 50901, 70973, 51110, 60390, 64544, 53072, 62340, 51268, 50977, 62365, 60086, 51083, 50987, 55156, 67011, 52605, 51193, 50873, 61297, 54233, 50852, 55548, 59357, 51580, 50896, 51404, 54526, 50852, 56974, 51409, 51226, 51188, 51226, 57752, 54416, 50917, 55207, 50890, 53951, 56731, 51245, 50894, 51940, 50894, 57363, 53939, 51323, 50894, 52150, 55121, 50873, 57773, 57850, 51839, 50858, 53468, 53474, 56629, 51593, 50859, 53253, 54047, 50880, 53924, 59046, 51478, 51379, 53772, 51379, 50437, 50804, 67166, 50804, 50813, 55258, 54840, 51478, 51090, 53772, 57825, 50879, 51206, 51030, 50953, 51364, 50456, 51478, 50858, 53772, 56860, 51478, 50858, 53772, 50858, 76676, 50948, 53772, 57603, 51111, 51335, 50795, 51213, 66645, 51478, 50893, 53772, 55341, 51770, 51158, 56218, 71003, 52106, 51016, 56652, 51016, 51206, 55998, 68052, 51469, 50438, 50852, 59187, 51770, 50893, 56218, 55260, 51478, 50879, 53772, 54762, 56974, 51593, 51016, 53253, 51016, 57752, 54416, 57487, 51323, 50882, 52150, 57625, 51245, 50858, 51940, 54149, 51497, 50879, 52106, 54762, 54259, 51245, 51354, 51940, 51354, 50438, 50852, 50865, 50440, 51839, 50857, 53468, 63397, 51593, 50862, 53253, 54247, 51478, 51090, 53772, 57825, 50879, 51206, 51030, 50953, 51364, 50456, 51478, 50858, 53772, 56860, 51478, 50858, 53772, 50858, 76676, 50936, 53772, 59872, 51111, 51335, 50795, 51213, 66645, 51478, 50893, 53772, 55341, 51770, 51060, 56218, 61120, 52106, 51090, 56652, 51090, 51206, 55998, 51030, 50945, 51469, 50438, 50852, 55758, 53253, 51496, 50680, 50340, 51496, 50852, 50937, 57752, 54416, 57487, 53468, 50858, 50680, 50338, 55884, 51940, 50858, 60080, 54149, 52106, 50806, 56652, 53072, 54259, 51940, 51354, 60080, 51354, 50438, 50852, 75326, 51839, 50813, 53468, 60672, 51593, 50862, 53253, 54247, 51478, 50824, 53772, 52299, 50879, 51206, 51030, 50953, 68862, 51478, 50858, 53772, 56860, 51478, 50858, 53772, 50858, 76676, 50936, 53772, 59872, 51111, 51335, 50795, 51213, 60055, 51478, 50911, 53772, 56346, 51770, 51173, 56218, 70756, 52106, 51566, 56652, 51566, 51206, 55998, 68052, 76175, 50852, 59187, 51770, 50893, 56218, 55260, 51478, 50879, 53772, 54762, 56974, 51593, 51016, 53253, 51016, 57752, 54416, 57487, 51323, 50859, 52150, 55747, 51245, 50858, 51940, 54149, 51497, 50845, 52106, 56015, 54259, 51245, 51175, 51940, 76183, 50852, 75326, 51839, 50813, 53468, 60672, 51593, 50862, 53253, 54247, 51478, 50824, 53772, 52299, 50879, 51206, 51030, 50953, 68862, 51478, 50858, 53772, 56860, 51478, 50858, 53772, 50858, 76676, 50911, 53772, 55195, 51111, 51335, 50795, 51213, 60055, 51478, 50911, 53772, 56346, 51770, 51060, 56218, 61120, 52106, 51343, 56652, 51343, 51206, 55998, 50936, 50945, 76175, 50852, 55758, 50852, 57564, 63109, 52150, 51016, 59668, 51016, 57752, 56202, 51940, 50948, 60080, 57603, 51631, 51770, 50936, 56218, 57758, 55732, 55214, 52150, 50948, 59668, 50948, 53550, 56646, 51770, 51192, 56218, 51192, 51069, 51732, 50450, 52232, 50879, 57119, 54523, 50938, 51335, 52863, 51245, 50924, 51940, 50924, 50799, 52400, 50911, 65697, 54780, 53072, 62340, 51478, 50865, 53772, 54919, 51245, 50879, 51940, 54762, 52605, 51770, 50879, 56218, 55122, 52232, 50865, 57119, 59553, 53071, 77588, 57285, 51940, 51798, 52400, 50795, 65697, 52152, 52961, 71554, 53772, 50795, 50799, 57285, 51940, 51626, 51460, 50852, 61195, 52150, 51356, 59668, 51356, 50426, 50852, 50859, 51974, 73684, 51500, 50852, 55322, 51770, 51192, 56218, 51192, 51069, 59939, 50450, 52232, 50879, 57119, 54762, 57431, 51245, 50924, 51940, 50924, 50799, 52400, 50911, 65697, 54780, 53072, 62340, 51478, 50865, 53772, 54919, 51245, 50879, 51940 ]
[ 0, 250, 2635, 8, 19448, 15855, 2125, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 18558, 6, 8, 3551, 139, 6, 14, 7630, 6568, 10, 5679, 26709, 8, 3722, 5466, 6, 1969, 13, 10, 822, 19834, 4, 20, 15229, 16, 11, 5, 762, 9, 274, 538, 6, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 29769, 198, 5, 33215, 16739, 9, 274, 6, 1918, 6, 8, 163, 428, 4, 152, 8787, 2125, 2386, 5, 30443, 7, 1950, 4356, 2089, 1090, 1235, 11, 63, 31220, 8, 9066, 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 ]	[ 72191, 54662, 51080, 55285, 51148, 50419, 51050, 51283, 53075, 51318, 50425, 50900, 51470, 51476, 51254, 50431, 50899, 51074, 51410, 50972, 50437, 50900, 52519, 51476, 51965, 50444, 51050, 54848, 53075, 53161, 50451, 51234, 51080, 55285, 51148, 50457, 51050, 51419, 53075, 51134, 51601, 74094, 51476, 73616, 50899, 51376, 51410, 60316, 51339, 51709, 50900, 51679, 56074, 51380, 51476, 51542, 50433, 51050, 51884, 53075, 51481, 50436, 51814, 51470, 64746, 51254, 50440, 51234, 51244, 55285, 51145, 50441, 52052, 51283, 71343, 51318, 50442, 56774, 63160, 51881, 53201, 53181, 54829, 50445, 51050, 51283, 53075, 51318, 55895, 51365, 51476, 51142, 50455, 50899, 51174, 51410, 51058, 50461, 52357, 69476, 50932, 75693, 50974, 51476, 50995, 52478, 52052, 51753, 71343, 51277, 50419, 51050, 50908, 53075, 59045, 51814, 51199, 51120, 52015, 51743, 56599, 64746, 51253, 53655, 51742, 50426, 53879, 64880, 50430, 51027, 51283, 52326, 51318, 50436, 50899, 52216, 50333, 51381, 51410, 50972, 56074, 51419, 50442, 50871, 51174, 51303, 51058, 50449, 50899, 52256, 51146, 51961, 51410, 51679, 54310, 51381, 50456, 51027, 50837, 52326, 50835, 51809, 51234, 51627, 53181, 52783, 55285, 51535, 50417, 52052, 51314, 56774, 58468, 71343, 51244, 50421, 51050, 51542, 53075, 51391, 53523, 51142, 51476, 50933, 50431, 50899, 51174, 51410, 51058, 50436, 50900, 51330, 51476, 66977, 51050, 50870, 52357, 50838, 53075, 50837, 75693, 74307, 51743, 53486, 50447, 51814, 51806, 51120, 52168, 53879, 78198, 64746, 51199, 53655, 52015, 50452, 51027, 51961, 52326, 51381, 50457, 50899, 53131, 50333, 51484, 51410, 51006, 56074, 51480, 51601, 56963, 51303, 68582, 51146, 53674, 54310, 52256, 50421, 50899, 51679, 51410, 51542, 50427, 51027, 50825, 52326, 56516, 51487, 51080, 51197, 52783, 52402, 52378, 57494, 51148, 56139, 51680, 50435, 54959, 63160, 51615, 52378, 50439, 50997, 51627, 52303, 51535, 61614, 51079, 51687, 65390, 50871, 51079, 51303, 68927, 50861, 51542, 51231, 51391, 50461, 50956, 50908, 51687, 50870, 52478, 52255, 52440, 51711, 52147, 50419, 51487, 51199, 58274, 61017, 57494, 51253, 50420, 51503, 51314, 61308, 51244, 50425, 51197, 56458, 56139, 54532, 50430, 51405, 51330, 56822, 50932, 50431, 51176, 51466, 54872, 51330, 50437, 50900, 52518, 51476, 51884, 50443, 51062, 52256, 53171, 51679, 61614, 51797, 51687, 51309, 50451, 50900, 55574, 51476, 53697, 50458, 56774, 55597, 51863, 56515, 51743, 56515, 50459, 51339, 51939, 56074, 51677, 50460, 51234, 52212, 55285, 51490, 52478, 51050, 51199, 53075, 51253, 50423, 77556, 51476, 50933, 50428, 50899, 51254, 51410, 51006, 56014, 52136, 51476, 51637, 63451, 51697, 53075, 71835, 51146, 51447, 51234, 52168, 54310, 51080, 55285, 52015, 50449, 51050, 51878, 53075, 51749, 50455, 50900, 51376, 51476, 51174, 50461, 50899, 51642, 51410, 51423, 52591, 51339, 50995, 56074, 50915, 50421, 50900, 52598, 51476, 51878, 50429, 51050, 56615, 53075, 53957, 50433, 51814, 50959, 64746, 74029, 52052, 51047, 51881, 51314, 53181, 52431, 71343, 51127, 50439, 51234, 51535, 52123, 56563, 51612, 65825, 55285, 51397, 50445, 51050, 51381, 53075, 51419, 50449, 50900, 51210, 51476, 51051, 50455, 50899, 51376, 51410, 51174, 50460, 52357, 61528, 51333, 52623, 61887, 52184, 72057, 52402, 51709, 75693, 50892, 51476, 51108, 52478, 51050, 50837, 52052, 51079, 53075, 50835, 71343, 67132, 51783, 64880, 52037, 78927, 50423, 51814, 51411, 51120, 52168, 51881, 54143, 51743, 54171, 64746, 51400, 53655, 52015, 50424, 53879, 78927, 50428, 51027, 51627, 52326, 51535, 50434, 50899, 52104, 50333, 51419, 51410, 50838, 56074, 51134, 50441, 50871, 51697, 51303, 51432, 50447, 51146, 52136, 54310, 51637, 50448, 50899, 52519, 51410, 51965, 50456, 51027, 50941, 52326, 50864, 50799, 53181, 51680, 50415, 56774, 56329, 52123, 56458, 51612, 65825, 50416, 52052, 51477, 51234, 51314, 71343, 51310, 55285, 51244, 50422, 51050, 51484, 53075, 51480, 53523, 51142, 51476, 50933, 50431, 50899, 51210, 51410, 51051, 50436, 50900, 51709, 52357, 51380, 52623, 55584, 52184, 64399, 52402, 51253, 51476, 51380, 75693, 51312, 50441, 51050, 50870, 53075, 59843, 51120, 51314, 51783, 58468, 52037, 70316, 53655, 51244, 50446, 51814, 51534, 53879, 58468, 51881, 51803, 51743, 52980, 64746, 74047, 51027, 51961, 52326, 51381, 50455, 50899, 53131, 50333, 51480, 51410, 51006, 56074, 51025, 50460, 50871, 51470, 51303, 51254, 52177, 51146, 51108, 54310, 51097, 50418, 50899, 51333, 51410, 51108, 50424, 51027, 50837, 52326, 68564, 51555, 50364, 50412, 52290, 50361, 50412, 50429, 52402, 51965, 51615, 51637, 50430, 51487, 51148, 51197, 55586, 54959, 55776, 57494, 51047, 56139, 53486, 50435, 50997, 51627, 52303, 51535, 50440, 50956, 51254, 51687, 51006, 50445, 50871, 51079, 51303, 70792, 50861, 51627, 51231, 51535, 50457, 50956, 50891, 51687, 50863, 51601, 51487, 51381, 57494, 51419, 50416, 58274, 57232, 52255, 51748, 51711, 52062, 50417, 51503, 53486, 61308, 52783, 50422, 51197, 53055, 56139, 52147, 50428, 51405, 51961, 56822, 51381, 50429, 51176, 51965, 54872, 51283, 50435, 50900, 52482, 51476, 51797, 50442, 51062, 51965, 53171, 51283, 50443, 50956, 51797, 51687, 51309, 50451, 50900, 52056, 51476, 51709, 50459, 56774, 63712, 51722, 50361, 50412, 53755, 50359, 50412, 50460, 51234, 52980, 51339, 52062, 51743, 58728, 51863, 58643, 55285, 52168, 56074, 52151, 52591, 51050, 51878, 53075, 51749, 53523, 51166, 51476, 56427, 50899, 50972, 51410, 50974, 50439, 50900, 52519, 51476, 51965, 50444, 51050, 52518, 53075, 51884, 50451, 51146, 51199, 51234, 51803, 54310, 51253, 55285, 51452, 50457, 51050, 51244, 53075, 51145, 51809, 50900, 51074, 51476, 50972, 63715, 53010, 51410, 52063, 50429, 50900, 51108, 51476, 51097, 50437, 51050, 50825, 53075, 57028, 51146, 51703, 51863, 53486, 54310, 51447, 50446, 51487, 51080, 53155, 60237, 51555, 60237, 52290, 76492, 51615, 51314, 57494, 51148, 50447, 51026, 52015, 52690, 51742, 50448, 52052, 52598, 71343, 51878, 50452, 50899, 51283, 51410, 51318, 50457, 50861, 51961, 51231, 51381, 51601, 50877, 51074, 51249, 50972, 50422, 50906, 50838, 51414, 68751, 50877, 56615, 51249, 53957, 50428, 52357, 50825, 75693, 57107, 51146, 52136, 51120, 51080, 54310, 51637, 53655, 51148, 50434, 51339, 51381, 53879, 56329, 51743, 52407, 51881, 52407, 51656, 52407, 56074, 51419, 50435, 51814, 51709, 51783, 63160, 52037, 76395, 64746, 51380, 50439, 51027, 51679, 52326, 51542, 55989, 51254, 51410, 51006, 50449, 63006, 51303, 68243, 51339, 50851, 56074, 75404, 50899, 51108, 51410, 51097, 50460, 51027, 50837, 52326, 50835, 51809, 51062, 52482, 53171, 51797, 50417, 51405, 53010, 52255, 52598, 51711, 52263, 56822, 52063, 50418, 52052, 52169, 50288, 52783, 58274, 54573, 52623, 61653, 52184, 76492, 71343, 50978, 61308, 51680, 50424, 51197, 51490, 56139, 51314, 50429, 52128, 53131, 50300, 51108, 67686, 51006, 54872, 51097, 69374, 51277, 51476, 51242, 50440, 51487, 50870, 57494, 55788, 50956, 51481, 51687, 51328, 50448, 75716, 51476, 60201, 52123, 64880, 51612, 78927, 50454, 51081, 54228, 51234, 51742, 51743, 51878, 51881, 52598, 52932, 53674, 55285, 51790, 50455, 51146, 51330, 56774, 55490, 53181, 54557, 54310, 56109, 51339, 51333, 56074, 51108, 50460, 51050, 51627, 53075, 51535, 53069, 50900, 51432, 51476, 51074, 78091, 52063, 51410 ]
[ 0, 250, 32625, 5175, 25771, 15229, 14, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 4, 20, 2635, 20889, 8, 5, 204, 73, 306, 86, 6543, 1045, 10, 3366, 219, 5466, 6, 150, 5, 6755, 12547, 6, 13305, 6, 21979, 8669, 6, 5921, 3343, 1290, 642, 5255, 6, 8, 18558, 10, 25118, 35810, 561, 15352, 30054, 8, 3722, 32343, 4, 8504, 11, 5, 762, 9, 381, 3694, 6, 5, 2214, 1575, 10, 33215, 16739, 9, 3676, 6, 230, 6, 211, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 57377, 51241, 51688, 78160, 51217, 51806, 69014, 50423, 50885, 52407, 50909, 51397, 50429, 77934, 50850, 53961, 51217, 53486, 50433, 50868, 51542, 50435, 75823, 50850, 54123, 50988, 51310, 50439, 50847, 51283, 58463, 52059, 50909, 51412, 50447, 51149, 51391, 50868, 51627, 50453, 50885, 51470, 59995, 50456, 50988, 51376, 57230, 50459, 50885, 52056, 50460, 50909, 51380, 57377, 51391, 51688, 62912, 51217, 51709, 69014, 50423, 72537, 50885, 51448, 50429, 79285, 79718, 50909, 51134, 50432, 51217, 54829, 50433, 50868, 51542, 50435, 66190, 50850, 54123, 50988, 51637, 50439, 50847, 51295, 58463, 51642, 50909, 51412, 50447, 50868, 51381, 51149, 51391, 50453, 74305, 59995, 50456, 50988, 51376, 57230, 50459, 50885, 51166, 50460, 50909, 51423, 57377, 51542, 51688, 51244, 50415, 53918, 74523, 51217, 51806, 69014, 50423, 50909, 51627, 50885, 62666, 54615, 60412, 77934, 57134, 50432, 53918, 50833, 51217, 51466, 50433, 50868, 51380, 50435, 53719, 51159, 75823, 50850, 51477, 50438, 50946, 51419, 51688, 51314, 66368, 50813, 51217, 51806, 50447, 50909, 51134, 50885, 52256, 50450, 53036, 75409, 77934, 50850, 54752, 53036, 50917, 51217, 51470, 50457, 61117, 50459, 61859, 75823, 50799, 53036, 51159, 50872, 51419, 51164, 51477, 67653, 52460, 50850, 51412, 50423, 50909, 51381, 50885, 51244, 50427, 53036, 69353, 64803, 50946, 55378, 52817, 50855, 51164, 51166, 50433, 70177, 50435, 52817, 51124, 75823, 50850, 51477, 50438, 50848, 51419, 51171, 51637, 50444, 53036, 65376, 51852, 50847, 51412, 50447, 50935, 51391, 51042, 52256, 50450, 52817, 75409, 50988, 50886, 50847, 54752, 52756, 51393, 50294, 51470, 50457, 58856, 50459, 60179, 50988, 51079, 50799, 53719, 51267, 50885, 51423, 51332, 51477, 50420, 50988, 51852, 50847, 51412, 50423, 50909, 51679, 50885, 51381, 50429, 50988, 50886, 50847, 53860, 51332, 51166, 50433, 61117, 50435, 50988, 50912, 50847, 51534, 50438, 50868, 51419, 51217, 51679, 50444, 50988, 51852, 77543, 50447, 50935, 51134, 51042, 52256, 50453, 51217, 51423, 72981, 50456, 51332, 51470, 50457, 50885, 51381, 50459, 50988, 50971, 57377, 51419, 51688, 51244, 50415, 53918, 74523, 51217, 51806, 69014, 50423, 50909, 51627, 50885, 75498, 54615, 60412, 77934, 57134, 50432, 53918, 50833, 51217, 51466, 50433, 50868, 51380, 50435, 53719, 51159, 75823, 50850, 51477, 50438, 50946, 51419, 51688, 51314, 66368, 50813, 51217, 51806, 50447, 50909, 51391, 50885, 52256, 50450, 53036, 75409, 77934, 50850, 54752, 53036, 50917, 51217, 51470, 50457, 61117, 50459, 61859, 75823, 50799, 53036, 51159, 50872, 51412, 51164, 51318, 67653, 52460, 50850, 51412, 50423, 61395, 66399, 50427, 53036, 69353, 64803, 50946, 55378, 52817, 50937, 51164, 51166, 50433, 65539, 50435, 75823, 50850, 51477, 50438, 52817, 56954, 51419, 51171, 51637, 50441, 53036, 55322, 50988, 51852, 50847, 51412, 50447, 52817, 50917, 50935, 51391, 51042, 52256, 50453, 52756, 51178, 50988, 50886, 50847, 54752, 51171, 51470, 50457, 58856, 50459, 60179, 50988, 51079, 59560, 51233, 51332, 79311, 53918, 50840, 50988, 52034, 50847, 51412, 50423, 53918, 60940, 51391, 50885, 69790, 53918, 56865, 53918, 72526, 50886, 50847, 53860, 51332, 51166, 50433, 53918, 50938, 61117, 50435, 50988, 50912, 50847, 51534, 50438, 50868, 51309, 51217, 51391, 50439, 54615, 51141, 57403, 51330, 51007, 50915, 50447, 50868, 51766, 50320, 66941, 50868, 51681, 50320, 53586, 50848, 51470, 50457, 51007, 72486, 61047, 51149, 51244, 61281, 51477, 79172, 50415, 53918, 63814, 54615, 62714, 51396, 51852, 77570, 50423, 50935, 51191, 51042, 51961, 50424, 53036, 55640, 70618, 73055, 51396, 50886, 50992, 72416, 54615, 65903, 51217, 51166, 50433, 64663, 50435, 51396, 50941, 64786, 50437, 50946, 51293, 50438, 56090, 51377, 52133, 51313, 52033, 52151, 51656, 51662, 50741, 50289, 51655, 58279, 51696, 50801, 50376, 55958, 67152, 62294, 51313, 50439, 53036, 51945, 50850, 51353, 68959, 53114, 52806, 71149, 51774, 50849, 51660, 50849, 51440, 52596, 56090, 51116, 50453, 52806, 70854, 51774, 51100, 51660, 51100, 51440, 51111, 50799, 56090, 51221, 52626, 50805, 51711, 50938, 50417, 52806, 51221, 50419, 53499, 52864, 51774, 50873, 51660, 50873, 51440, 50805, 52187, 57572, 56090, 51191, 50425, 51656, 52483, 52806, 51110, 52430, 58983, 51774, 51194, 51660, 51178, 51440, 51095, 50431, 52033, 52605, 52225, 52446, 53369, 51377, 52133, 51148, 51743, 51148, 52430, 51077, 51656, 50918, 72410, 50918, 60082, 55755, 55604, 50801, 53114, 51774, 71149, 51515, 50805, 51440, 50849, 51607, 53794, 53369, 51116, 51848, 54094, 55097, 51774, 70854, 51515, 50805, 51440, 50849, 51607, 54754, 56834, 52137, 51077, 78940, 51221, 51615, 51077, 53541, 51148, 51881, 51148, 68008, 50918, 57914, 55755, 56390, 52745, 51221, 50420, 51614, 50805, 51434, 50873, 51808, 60522, 52769, 75749, 52745, 51110, 51848, 54094, 54956, 51614, 51095, 51434, 51194, 51808, 51178, 50438, 56090, 51377, 52133, 51047, 52033, 51151, 52430, 51077, 51656, 50918, 50741, 50289, 51336, 58279, 55755, 50376, 55958, 67152, 54905, 50801, 53114, 52806, 71149, 51774, 50805, 51660, 50849, 51440, 53794, 56090, 51116, 51848, 54094, 55097, 52806, 70854, 51774, 50805, 51660, 50849, 51440, 54754, 50825, 50799, 55243, 51221, 53541, 51151, 52430, 51077, 51656, 50918, 74773, 59578, 50834, 58012, 50977, 50417, 52745, 51221, 50420, 51660, 50805, 51440, 50873, 51808, 50873, 56333, 75827, 55243, 75749, 52745, 51110, 51848, 54094, 50829, 58424, 66942, 51660, 51095, 51440, 51194, 51808, 71992, 56333, 60592, 55243, 51377, 51660, 50805, 51929, 50849, 51808, 50849, 52033, 51047, 52255, 50918, 53188, 51077, 58012, 61985, 52745, 50878, 56333, 79860, 51660, 50805, 51929, 50849, 51808, 53794, 55243, 51363, 70618, 50889, 58424, 77843, 52745, 51412, 50456, 54813, 51138, 51660, 50805, 51929, 50849, 51808, 50849, 56333, 50854, 70109, 50890, 56090, 51377, 53918, 51175, 52133, 51353, 52033, 51353, 51656, 51353, 52626, 51127, 58279, 51359, 55091, 75195, 63465, 50837, 58012, 65314, 52475, 51941, 50801, 53023, 52806, 61965, 50870, 56220, 66700, 51774, 50849, 51660, 50805, 51440, 51650, 52966, 56090, 50991, 54615, 54581, 53110, 50829, 55871, 50955, 50429, 52806, 71992, 51774, 51100, 51660, 51111, 51440, 51060, 53918, 53841, 54493, 50870, 56220, 57815, 53719, 78590, 56090, 51221, 52225, 51127, 65042, 50837, 58012, 60844, 52806, 78373, 51774, 50849, 51660, 50873, 51440, 53592, 50870, 56220, 78566, 56090, 68393, 52846, 52806, 51110, 53036, 56956, 56340, 52995, 50829, 55871, 50955, 50453, 51774, 51178, 51660, 51178, 51440, 58760, 52475, 50948, 53036, 61468, 53612, 50870, 56220, 50866, 58777, 50890, 53369, 51377, 53036, 51290, 52133, 51127, 51743, 51127, 52036, 51127, 51656, 51127, 60082, 51127, 52983, 51127, 65042, 50837, 57016, 65314, 51758, 68393, 53023, 51774, 61965, 50870, 56220, 66700, 51515, 50795, 51440, 50849, 51607, 52862, 52966, 53369, 50991, 53036, 54593, 53110, 50829, 55871, 50955, 50429, 51774, 71992, 51758, 50924, 51515, 50795, 51440, 50849, 51607, 50805, 52817, 53672, 54493, 50870, 56220, 57815, 52817, 51238, 50437, 52137, 64345, 51995, 51343, 52769, 51221, 51615, 51127, 53541, 51127, 51881, 51127, 57914, 51127, 53254, 51127, 65042, 50837, 56333, 60844, 52745, 78373, 51614, 50795, 51434, 50849, 51808, 50873, 53036, 56473, 50870, 58424, 78566 ]
[ 0, 713, 5679, 26709, 5175, 2214, 11, 381, 3694, 1575, 3459, 8, 21979, 29589, 6, 38668, 2236, 6, 31391, 1672, 9590, 6, 8, 38668, 11212, 6, 2351, 10, 19448, 8, 15352, 30054, 5466, 19, 10, 11602, 9, 1619, 4780, 4, 20, 20889, 16, 278, 23, 41, 12447, 1001, 2877, 9, 18872, 741, 1685, 6, 8, 5, 2125, 3905, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 33215, 16739, 9, 3676, 6, 1918, 6, 211, 406, 73, 597, 10431, 6, 272, 6, 8, 230, 119, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50799, 55239, 55723, 53091, 52931, 53136, 50879, 59007, 50978, 59995, 50909, 59790, 56238, 56729, 51637, 50885, 51477, 51217, 51310, 50988, 51637, 51332, 52222, 51416, 53241, 54173, 59155, 53336, 77734, 50847, 58846, 60046, 51253, 50909, 51199, 54173, 71201, 59300, 50885, 67016, 50847, 57093, 50974, 54173, 50910, 50431, 50868, 53387, 61999, 60395, 50988, 60925, 52056, 63153, 60154, 71873, 51217, 51535, 54173, 55236, 55622, 74878, 50868, 68253, 51380, 50885, 51097, 54173, 50952, 50443, 50909, 55103, 74305, 63299, 63299, 62848, 74300, 54173, 53484, 69197, 50868, 58507, 56990, 66015, 51576, 50885, 51411, 50885, 54344, 65107, 54173, 59349, 59300, 57420, 58056, 54173, 50940, 50799, 63833, 63833, 50848, 59718, 61678, 67045, 51806, 50868, 51295, 51217, 51244, 51396, 51680, 51910, 52208, 54173, 58768, 54031, 58661, 68386, 50992, 55711, 51380, 50935, 51109, 54173, 58798, 51042, 51470, 50992, 57070, 50935, 51376, 50848, 51074, 54173, 51336, 50432, 50848, 60308, 55711, 50915, 60104, 75998, 77295, 51042, 65345, 54292, 78343, 50848, 51501, 50296, 51627, 50444, 51396, 51824, 70987, 50848, 64232, 57597, 58244, 68711, 50848, 64533, 50848, 66988, 56347, 51393, 50300, 52059, 50848, 51233, 50935, 51337, 50868, 59827, 58816, 62993, 70392, 57377, 51174, 62783, 62783, 50868, 55077, 56219, 56011, 59324, 51318, 51217, 51314, 51349, 51469, 54173, 53703, 54031, 61999, 50868, 54954, 59627, 51199, 64804, 61560, 74087, 54173, 53244, 50885, 60046, 56219, 50845, 54173, 54372, 50868, 62033, 56729, 51806, 75641, 61560, 62781, 50946, 53280, 50946, 56329, 54173, 58546, 54292, 69501, 50868, 71898, 51965, 54173, 50940, 58463, 51254, 65999, 63299, 72074, 50868, 56219, 50905, 54173, 57322, 50946, 67923, 56219, 55109, 51411, 50868, 51025, 75641, 74087, 53136, 55764, 57835, 64803, 54173, 50924, 50799, 57140, 59027, 50946, 60366, 56743, 56204, 56219, 59324, 52168, 51171, 51592, 51181, 52392, 53775, 55955, 53829, 59458, 72074, 50848, 59467, 51466, 61542, 50872, 77426, 53807, 52483, 58856, 50872, 56011, 51079, 53775, 54729, 50850, 56204, 51267, 50946, 51108, 61542, 59762, 59381, 62615, 54173, 55855, 54292, 50850, 51824, 53136, 51918, 50946, 51376, 50946, 51006, 50848, 57053, 56204, 55808, 56219, 56342, 50805, 53091, 51798, 62587, 66215, 50872, 57349, 51312, 51171, 51466, 50946, 52397, 50946, 51108, 70985, 59381, 50454, 51349, 73499, 58752, 50848, 58736, 50901, 53136, 51227, 57342, 51058, 57140, 59458, 59027, 50872, 58469, 50313, 59324, 50932, 50946, 51542, 51171, 51318, 51181, 51274, 52166, 53203, 50848, 58736, 54879, 55711, 51212, 75400, 79934, 53136, 50893, 57451, 50946, 50984, 57884, 61232, 64803, 54173, 50893, 54680, 52953, 75548, 76158, 50988, 51333, 50848, 64986, 50915, 74032, 50988, 51283, 51171, 51703, 51137, 50921, 53775, 50879, 64547, 72090, 50935, 67272, 53807, 51370, 53114, 64730, 50848, 55808, 56204, 57597, 57597, 50873, 69789, 53136, 51158, 51468, 50445, 50988, 51961, 50450, 63588, 63833, 50848, 57076, 57749, 56659, 51233, 50988, 51738, 51910, 50936, 51287, 50969, 54450, 50872, 62122, 50855, 54173, 51274, 51842, 59007, 50978, 59995, 50909, 59790, 56238, 56729, 51637, 50885, 51477, 51217, 51310, 50988, 51637, 51332, 52222, 51416, 51274, 58805, 53829, 77734, 50847, 58846, 60046, 51253, 50909, 51199, 51842, 50425, 59300, 50885, 67016, 50847, 57093, 50974, 56319, 59277, 50868, 53387, 61999, 60395, 50988, 60925, 52056, 63153, 60154, 71873, 51217, 51535, 51416, 50936, 52166, 52742, 74878, 50868, 68253, 51380, 50885, 51097, 51468, 50443, 50909, 55103, 74305, 63299, 63299, 62848, 74300, 61625, 69197, 50868, 58507, 56990, 66015, 51576, 50885, 51411, 50885, 54344, 65107, 54680, 53137, 59300, 57420, 58056, 51970, 50460, 51164, 51477, 50461, 50946, 50932, 50946, 51381, 51791, 54228, 51164, 51419, 54992, 50812, 61464, 55808, 58649, 56990, 55109, 50915, 79845, 51132, 51343, 53775, 54452, 51135, 56127, 53775, 50890, 54992, 66356, 54992, 57437, 59458, 50872, 57093, 59157, 55789, 50909, 51267, 77043, 53775, 50911, 51960, 50425, 53873, 54335, 50946, 51376, 61395, 50885, 62707, 51074, 54173, 50879, 75579, 60854, 50872, 51365, 50431, 54992, 51380, 50432, 61999, 50988, 67923, 57093, 56729, 50995, 60104, 50909, 68420, 55002, 51416, 51192, 53775, 51158, 51897, 57004, 51217, 51965, 51332, 52598, 50438, 50988, 51330, 54173, 50879, 51468, 76858, 51254, 50868, 57245, 51108, 50443, 53873, 51481, 58463, 60398, 56467, 57093, 58649, 51109, 60347, 51217, 51058, 50868, 57093, 60148, 51709, 50885, 51312, 65131, 75579, 65134, 50988, 52378, 50868, 51411, 50456, 59300, 50909, 67146, 50905, 51842, 50461, 54992, 50812, 59008, 50978, 51164, 50987, 59458, 62137, 50885, 57076, 56990, 59324, 51108, 50946, 50932, 75714, 51132, 51173, 53775, 50930, 58805, 56092, 53775, 50890, 54992, 54611, 51164, 51006, 50885, 58590, 56743, 57093, 50915, 71873, 51137, 50921, 53775, 50911, 54992, 51177, 57451, 59458, 51164, 74620, 57245, 50901, 54173, 50879, 53873, 50905, 54680, 52818, 50868, 51267, 50909, 51109, 50909, 51056, 50988, 51333, 50885, 51108, 64583, 61560, 51332, 51637, 50988, 55002, 51217, 51244, 51338, 51343, 53775, 51013, 54992, 51097, 58805, 50895, 51570, 53027, 50988, 51824, 64060, 62848, 50868, 55077, 73673, 54173, 50892, 53873, 50974, 51960, 50445, 50885, 67042, 63299, 51332, 53680, 50308, 57750, 58846, 60148, 51806, 50988, 51806, 77043, 58285, 53659, 53137, 61117, 61117, 50909, 62707, 50838, 51960, 50799, 62137, 58056, 51164, 58736, 56204, 62756, 51380, 50885, 51267, 51164, 51097, 50946, 50932, 58285, 51132, 51343, 53775, 50930, 54992, 50812, 58805, 57705, 53775, 50880, 54992, 53227, 50872, 56990, 55808, 51212, 50909, 51101, 51164, 52188, 53775, 50911, 54992, 50845, 60656, 50946, 52192, 65998, 66033, 50909, 50873, 54173, 50806, 53873, 50845, 54680, 58815, 50868, 52731, 50431, 54992, 57547, 50909, 51377, 50988, 52996, 65131, 61560, 60104, 71873, 78007, 50988, 51148, 51416, 51033, 53775, 51173, 60524, 65109, 51217, 51253, 51332, 54498, 54173, 51370, 59692, 53873, 55103, 51217, 51254, 50988, 51824, 65671, 62848, 50885, 60046, 58451, 50905, 51910, 50806, 53136, 50879, 51468, 50445, 51332, 52441, 50449, 53686, 58038, 61999, 60490, 58056, 51217, 52347, 50304, 55905, 56467, 60148, 51576, 51416, 50948, 54680, 59528, 53091, 72670, 53274, 66913, 79381, 61220, 63299, 50885, 59599, 52312, 50299, 55778, 50868, 51328, 51960, 50457, 51217, 51079, 50458, 54173, 50795, 58282, 50915, 51684, 53241, 53873, 51328, 50816, 53790, 57056, 64178, 79063, 58082, 52731, 50946, 50363, 50815, 50301, 57053, 51681, 50294, 52011, 51171, 51097, 53136, 51358, 50421, 56806, 55586, 62810, 55257, 54558, 50306, 62756, 53697, 51171, 57547, 51171, 51470, 57140, 50944, 51470, 50946, 55711, 51867, 50294, 54975, 50946, 51824, 50946, 55711, 59718, 57999, 51501, 50294, 50914, 51322, 57522, 50946, 51470, 60893, 50944, 51824, 50946, 56659, 51867, 50294, 50943, 51322, 56881, 50946, 52312, 50301, 58580, 67682, 57898, 57574, 50294, 50967, 51171, 51738, 51322, 55162, 51171, 63580, 56611, 60366, 57999, 52347, 50301, 52136, 51322, 50851, 57342, 51006, 50848, 50924, 51171, 54558, 50294, 63580, 60695, 51097, 51684, 50795, 52468, 50984, 51322, 67041, 53403, 51171, 51174, 51171, 59627, 56659, 76475, 50849, 51684, 50800, 51322, 59756, 59043, 52468, 58844 ]
[ 0, 250, 765, 6, 1769, 12, 20764, 5175, 37903, 11, 381, 3694, 6, 4246, 10, 15352, 30054, 13305, 483, 14, 7630, 6568, 41, 20425, 8, 25306, 5466, 19, 10, 11602, 9, 15073, 6, 70, 150, 6780, 10, 5204, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 67004, 51279, 71509, 60472, 55041, 51279, 78184, 71509, 54335, 51279, 78184, 68081, 55544, 51279, 78184, 71509, 54137, 51279, 53131, 50313, 63257, 55200, 51279, 53535, 50313, 67891, 56697, 51279, 53535, 50313, 63257, 56711, 51279, 53535, 50313, 67891, 50905, 55547, 51753, 50916, 56943, 55041, 51247, 51283, 50877, 51965, 50876, 51318, 50438, 51214, 51244, 50973, 51314, 50902, 51145, 55547, 71509, 60472, 55041, 51279, 78184, 71509, 54335, 51279, 78184, 68081, 55544, 51279, 78184, 71509, 54137, 51279, 53131, 50313, 63257, 55200, 51279, 53535, 50313, 67891, 56697, 51279, 53535, 50313, 63257, 56711, 51279, 53535, 50313, 67891, 50905, 55547, 51753, 50916, 56943, 55041, 51247, 51283, 50877, 51965, 50876, 51318, 50438, 51214, 51244, 50973, 51314, 50902, 51145, 76956, 51753, 50877, 51680, 50999, 51742, 50420, 51279, 55752, 53667, 57524, 51279, 55659, 53667, 59837, 51279, 80095, 52104, 50327, 54323, 53667, 64900, 75934, 54509, 51279, 70358, 52104, 50330, 50905, 76956, 51753, 50968, 51517, 50332, 60115, 51279, 55752, 53667, 70358, 52026, 50330, 57648, 51279, 55659, 53667, 64900, 52026, 50328, 59242, 51279, 56989, 53667, 80095, 52026, 50327, 58843, 51279, 51074, 76956, 51753, 50876, 65348, 55041, 51279, 65351, 52104, 50325, 54335, 53667, 65351, 73276, 55544, 51279, 65351, 52104, 50325, 54137, 53667, 78912, 68081, 55200, 51279, 78912, 71509, 54323, 53667, 65351, 73276, 54509, 51279, 80095, 52104, 50327, 50905, 50799, 55774, 51884, 50902, 77868, 55041, 51214, 64900, 52104, 50328, 54335, 55774, 52511, 50315, 51853, 50327, 54342, 51214, 70358, 52783, 51146, 51803, 50438, 55774, 59837, 51214, 56989, 55774, 62524, 51214, 51074, 76956, 51753, 50877, 51680, 50999, 51742, 50420, 51279, 55752, 53667, 57524, 51279, 55659, 53667, 59837, 51279, 80095, 52104, 50327, 54323, 53667, 64900, 75934, 54509, 51279, 70358, 52104, 50330, 50905, 76956, 51753, 50968, 51517, 50332, 60115, 51279, 55752, 53667, 70358, 52026, 50330, 57648, 51279, 55659, 53667, 64900, 52026, 50328, 59242, 51279, 56989, 53667, 80095, 52026, 50327, 58843, 51279, 51074, 76956, 51753, 50876, 65348, 55041, 51279, 65351, 52104, 50325, 54335, 53667, 65351, 73276, 55544, 51279, 65351, 52104, 50325, 54137, 53667, 78912, 68081, 55200, 51279, 78912, 71509, 54323, 53667, 65351, 73276, 54509, 51279, 80095, 52104, 50327, 50905, 50799, 55774, 51884, 50902, 57643, 77868, 55041, 51214, 64900, 71509, 52104, 50328, 54335, 55774, 52511, 50315, 66918, 51853, 50327, 54342, 51214, 70358, 51965, 50951, 51965, 51146, 51318, 50438, 55774, 59837, 51214, 56989, 55774, 52511, 50320, 51853, 50332, 54509, 51214, 70358, 52104, 50330, 50905, 54197, 63257, 65348, 55041, 51050, 65351, 52104, 50325, 54335, 51027, 65594, 66257, 54342, 51050, 64900, 52104, 50328, 54137, 50900, 67252, 73276, 55200, 51050, 69442, 75598, 54323, 50916, 67891, 75934, 54509, 51050, 65351, 52104, 50325, 50905, 54955, 66918, 77868, 55041, 51026, 80095, 52104, 50327, 54335, 51086, 64675, 68636, 54342, 51026, 70358, 52104, 50330, 54137, 50899, 78288, 51853, 50327, 55200, 51026, 65721, 72895, 54323, 50871, 73585, 51853, 50330, 54509, 51026, 80095, 52104, 50327, 50905, 56310, 68081, 51260, 50332, 55041, 51027, 64900, 52104, 50328, 50905, 53523, 67252, 73276, 54342, 51027, 72713, 52104, 50332, 54137, 50916, 67891, 75934, 55200, 51027, 65351, 52104, 50325, 54323, 50861, 72895, 51853, 50335, 54509, 51027, 53535, 50321, 52104, 50333, 50905, 56310, 68081, 60472, 51260, 50332, 55041, 51027, 74056, 72895, 52104, 50333, 50905, 53523, 71509, 73276, 51853, 50332, 54342, 51027, 64900, 52783, 50968, 52783, 51062, 51803, 59419, 59388, 51027, 56989, 51279, 59435, 51027, 51074, 57551, 51481, 50876, 58903, 65348, 55041, 51247, 65351, 67891, 52104, 50325, 54335, 51085, 65594, 63257, 66257, 54342, 51247, 64900, 71509, 52104, 50328, 54137, 55123, 65351, 63257, 73276, 55200, 51247, 69442, 67891, 75598, 54323, 55123, 75370, 68081, 75934, 54509, 51247, 65351, 67891, 52104, 50325, 50905, 50799, 55774, 51884, 50902, 57643, 77868, 55041, 51214, 80095, 73585, 52104, 50327, 54335, 55774, 71395, 66918, 68636, 54342, 51214, 70358, 75598, 52104, 50330, 54137, 55774, 80095, 66918, 51853, 50327, 55200, 51214, 65721, 73585, 72895, 54323, 55774, 76283, 66257, 51853, 50330, 54509, 51214, 80095, 73585, 52104, 50327, 50905, 76956, 51753, 50968, 57945, 51260, 50332, 55041, 51279, 64900, 71509, 52104, 50328, 54335, 53667, 65351, 68081, 73276, 54342, 51279, 72713, 72895, 52104, 50332, 54137, 53667, 64900, 68081, 75934, 55200, 51279, 65351, 71509, 52104, 50325, 54323, 53667, 74337, 51853, 50327, 51853, 50335, 54509, 51279, 74056, 52104, 50325, 52104, 50333, 50905, 76956, 51753, 50968, 57945, 51260, 50332, 55041, 51279, 74056, 52104, 50325, 52104, 50333, 54335, 53667, 72713, 68636, 51853, 50332, 54342, 51279, 77882, 52783, 51062, 52783, 51814, 51803, 50438, 53667, 59837, 51279, 56989, 53667, 59435, 51279, 51074, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 182, 765, 37903, 9, 5175, 930, 11, 211, 3694, 6, 4246, 10, 881, 13931, 9, 211, 119, 6, 163, 428, 6, 83, 12361, 6, 272, 119, 6, 8, 163, 428, 40286, 6, 25451, 23, 10, 23667, 27841, 139, 20889, 11, 204, 73, 306, 86, 6, 7630, 14805, 10, 11739, 9, 20425, 6, 2933, 6, 8, 15352, 30054, 6711, 29, 6, 2905, 10686, 13, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 65919, 50902, 52910, 50861, 51736, 50902, 51646, 51001, 51918, 50861, 51798, 50899, 51923, 50902, 50795, 54206, 54828, 52115, 51026, 51620, 50899, 54828, 51736, 51026, 51724, 50861, 56730, 51918, 50997, 51757, 50861, 56730, 51923, 50997, 50800, 57923, 52910, 50861, 51736, 51001, 51646, 50956, 51918, 50861, 51798, 50956, 51923, 51001, 50795, 55694, 55673, 52115, 50899, 51620, 50906, 55673, 51736, 50899, 51724, 50877, 54666, 51918, 50900, 51757, 50877, 54666, 51923, 50900, 77724, 50795, 55694, 55673, 51631, 50861, 51736, 50956, 51646, 50900, 51918, 51120, 52513, 50900, 51757, 50956, 51923, 50906, 50795, 57923, 51631, 51001, 51736, 50906, 51646, 50861, 51918, 51197, 52513, 50956, 51757, 50906, 51923, 51001, 50795, 55694, 55673, 52115, 51120, 51620, 50902, 51736, 50906, 51646, 50861, 51918, 51120, 52513, 50906, 51757, 50902, 51923, 51120, 59123, 50795, 55694, 55673, 52115, 51120, 51620, 50877, 54666, 51736, 51085, 51724, 50861, 56730, 51918, 51234, 51757, 50899, 56036, 51923, 51279, 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, 4688, 20425, 8, 15352, 30054, 5175, 45080, 2214, 19, 10, 980, 8, 11299, 16464, 6, 4246, 38668, 22052, 6, 21072, 6, 38668, 483, 6, 1076, 560, 31365, 25999, 6, 8, 38668, 20535, 4, 8504, 11, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 9680, 163, 5683, 4, 20, 33215, 16739, 9, 272, 119, 6, 274, 6, 8, 211, 119, 35315, 1328, 5, 1349, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 53028, 50818, 56622, 52231, 50417, 56622, 53379, 50420, 56622, 52231, 50423, 56622, 52611, 51544, 50841, 56622, 52611, 50429, 56622, 57617, 56816, 52431, 56622, 70709, 56622, 50908, 51570, 50841, 56622, 54704, 56622, 52878, 51652, 50823, 56622, 55888, 56622, 55254, 51721, 51052, 50841, 56622, 54085, 56622, 52193, 51643, 50802, 56622, 53736, 56622, 50817, 50799, 52233, 51696, 52606, 52017, 51678, 52017, 56622, 55265, 56622, 53213, 51643, 50802, 56622, 53578, 56622, 52630, 56622, 54396, 56622, 52265, 51643, 50802, 56622, 54496, 56622, 52676, 56622, 54129, 56622, 52267, 51633, 50802, 56622, 53851, 56622, 52568, 56622, 54085, 56622, 52193, 51643, 50976, 56622, 53736, 56622, 50817, 50799, 54064, 51307, 52016, 52017, 51821, 52017, 56622, 55265, 56622, 53213, 51721, 50802, 56622, 53578, 56622, 52630, 56622, 54396, 56622, 52265, 51721, 50802, 56622, 54496, 56622, 52676, 56622, 54129, 56622, 52267, 51831, 50802, 56622, 53851, 56622, 52568, 56622, 54085, 56622, 52193, 51652, 50802, 56622, 53736, 56622, 50817, 50799, 54064, 51036, 52016, 51036, 72890, 56622, 55265, 56622, 53213, 51652, 50976, 56622, 53578, 56622, 52630, 56622, 54396, 56622, 52265, 51652, 50802, 56622, 54496, 56622, 52676, 56622, 54129, 56622, 52267, 52200, 50860, 56622, 53851, 56622, 52568, 51633, 50821, 56622, 54085, 56622, 52193, 51633, 50993, 56622, 53736, 56622, 50817, 50799, 57380, 51036, 52233, 51353, 52606, 51264, 51678, 51696, 50420, 51643, 57310, 51652, 53798, 51721, 54178, 51643, 50802, 50799, 52233, 51696, 52606, 52017, 51678, 52017, 50420, 51643, 52030, 51643, 52313, 51633, 52325, 51643, 50976, 50799, 54064, 51307, 52016, 52017, 51821, 52017, 50420, 51721, 60648, 51721, 60815, 51831, 52325, 51652, 50976, 50799, 54064, 51036, 52016, 51036, 51678, 56100, 51652, 60648, 51652, 60815, 52200, 58317, 51633, 52884, 51633, 51072, 50799, 57380, 51036, 52233, 51353, 52606, 51264, 51678, 51696, 50420, 51643, 50993, 50437, 56816, 70268, 52200, 52116, 51993, 54712, 52372, 51552, 50799, 57054, 51036, 52233, 51036, 52606, 51696, 51678, 51696, 51716, 51696, 50791, 64550, 50813, 51402, 54658, 52647, 50823, 51771, 50823, 51959, 53547, 51903, 50894, 51510, 50883, 51544, 56561, 55863, 52647, 50823, 51771, 50823, 51959, 51805, 52975, 77545, 50894, 51556, 53294, 52647, 50823, 51771, 50823, 51959, 51805, 64550, 50813, 51572, 53675, 77545, 57152, 52647, 50823, 51771, 50823, 51959, 51805, 50880, 52320, 64550, 50813, 51647, 53563, 52647, 50823, 51771, 50823, 51959, 53547, 53291, 50894, 51621, 50880, 50799, 64724, 51036, 54064, 51036, 52016, 51696, 51821, 51696, 52072, 51696, 50791, 64550, 50813, 51402, 54658, 52003, 50823, 51890, 50823, 52158, 53547, 53291, 50894, 51510, 50880, 51544, 64550, 55863, 52003, 50823, 51890, 50823, 52158, 51805, 54053, 77545, 50894, 51556, 54459, 52003, 50823, 51890, 50823, 52158, 51805, 64550, 50813, 51572, 54989, 52200, 51858, 53291, 57152, 52003, 50823, 51890, 50823, 52158, 51805, 54411, 51993, 51052, 64550, 50813, 51647, 54647, 52003, 50823, 51890, 50823, 52158, 50823, 52372, 51388, 77545, 50894, 51621, 50880, 50799, 63995, 51036, 55464, 51036, 52016, 51696, 51678, 51696, 52072, 51696, 50791, 64550, 50813, 51402, 54658, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 50823, 51993, 52319, 53291, 50962, 51510, 50880, 51544, 64550, 55863, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 51805, 54053, 51993, 66587, 53291, 50962, 51556, 54459, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 51805, 64550, 50813, 51572, 54989, 52200, 66587, 53291, 65866, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 51805, 50880, 52320, 64550, 50813, 51647, 54647, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 50823, 51993, 52319, 53291, 50962, 51621, 50880, 50799, 74636, 51036, 57380, 51036, 52233, 51264, 52606, 51696, 52398, 51696, 50791, 64550, 50813, 51402, 54658, 52647, 50823, 52609, 50823, 51959, 50823, 51643, 56425, 53291, 50962, 51510, 50880, 51544, 64550, 55863, 52647, 50823, 52609, 50823, 51959, 51805, 54053, 51643, 53072, 53291, 50962, 51556, 54459, 52647, 50823, 52609, 50823, 51959, 51805, 64550, 50813, 51572, 54989, 52200, 51858, 53291, 65866, 52647, 50823, 52609, 50823, 51959, 51805, 53711, 51993, 51052, 64550, 50813, 51647, 54647, 52647, 50823, 52609, 50823, 51959, 50823, 52372, 66587, 53291, 50962, 51621, 50880, 68154, 50803, 57054, 51696, 52233, 51696, 52606, 51696, 51678, 51696, 51716, 51696, 50791, 64550, 53225, 50836, 51402, 51903, 55772, 52647, 50823, 51771, 50823, 51959, 50823, 51704, 54791, 53291, 50835, 51510, 53291, 53272, 51704, 51052, 64550, 53225, 59974, 52647, 50823, 51771, 50823, 51959, 51805, 53291, 53998, 51704, 54791, 53291, 50904, 51556, 53291, 53945, 52647, 50823, 51771, 50823, 51959, 50823, 51704, 51052, 64550, 53225, 50836, 51572, 53291, 55434, 51704, 54791, 53291, 57291, 52647, 50823, 51771, 50823, 51959, 51805, 53291, 53996, 51704, 51052, 64550, 53225, 50855, 51647, 53291, 55293, 52647, 50823, 51771, 50823, 51959, 50823, 51704, 54791, 53291, 50864, 51621, 53291, 50864, 64846, 50803, 54064, 51036, 52016, 51696, 51821, 51696, 52072, 51696, 50791, 64550, 53225, 50855, 56622, 52231, 51402, 51903, 50864, 56622, 53379, 50420, 52003, 50823, 51890, 50823, 52158, 50823, 52237, 54791, 53291, 50864, 56622, 52231, 51510, 53291, 50886, 56622, 52611, 50426, 52237, 51052, 64550, 53225, 50887, 56622, 52611, 50429, 52003, 50823, 51890, 50823, 52158, 51805, 53291, 50886, 56622, 57617, 52237, 54791, 53291, 50886, 56816, 52431, 56622, 51297, 51556, 53291, 50864, 56622, 52958, 52003, 50823, 51890, 50823, 52158, 50823, 52237, 51052, 64550, 53225, 50836, 56622, 67129, 53291, 50864, 56622, 52878, 52237, 50810, 52200, 51858, 53291, 50904, 56622, 55888, 52003, 50823, 51890, 50823, 52158, 51805, 53291, 50867, 56622, 55254, 52237, 50803, 51993, 51052, 64550, 53225, 50887, 56622, 50817, 51647, 53291, 50886, 56622, 52193, 52003, 50823, 51890, 50823, 52158, 50823, 52237, 50810, 52372, 56425, 53291, 50829, 56622, 65447, 53291, 50870, 56622, 50817, 50799, 53723, 50803, 55464, 51036, 52016, 51696, 51678, 51696, 52072, 51696, 52009, 51696, 50816, 74689, 64550, 53225, 50836, 56622, 55265, 50816, 54412, 53291, 50904, 56622, 53213, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 50823, 53723, 50810, 51993, 52677, 50365, 51225, 53291, 50835, 56622, 53578, 50816, 70196, 53291, 50864, 56622, 52630, 53723, 52409, 57284, 64550, 53225, 50887, 56622, 54396, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 54886, 61315, 53291, 50864, 56622, 52265, 53723, 50810, 51993, 55720, 71621, 53291, 50904, 56622, 54496, 50816, 59029, 53291, 50864, 56622, 52676, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 50823, 53723, 52409, 57162, 64550, 53225, 50836, 56622, 50817, 53525, 56423, 53291, 50941, 56622, 52267, 53723, 50810, 52200, 60664, 56669, 53291, 50904, 56622, 53851, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 54886, 54220, 53291, 50864, 56622, 52568, 53723, 52409, 54220, 64550, 53225, 50855, 56622, 54085, 50816, 55316, 53291, 50941, 56622, 52193, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 50823, 53723, 50810, 51993, 52677, 56707, 53291, 50864, 56622, 50817, 53206, 53111, 53291, 50864, 56622, 50817, 50799, 53724, 50803, 57380, 51036, 52606, 51696, 52398, 51264, 51716 ]
[ 0, 250, 15352, 30054, 1619, 3495, 2214, 11, 230, 10431, 538, 6, 4246, 21979, 8669, 6, 13305, 6, 9590, 6, 5921, 3343, 1290, 642, 5255, 6, 8, 21072, 6, 278, 11, 10, 16634, 155, 73, 306, 86, 6543, 19, 10, 7212, 20889, 9, 8101, 13410, 228, 2289, 6, 7630, 14805, 6453, 9, 11098, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50625, 51018, 51034, 72476, 52028, 51551, 51317, 51400, 51078, 51112, 51064, 51400, 51705, 51941, 51825, 57519, 52109, 50849, 51544, 50820, 51317, 50836, 51078, 50818, 51064, 50813, 51414, 52605, 51825, 50873, 51570, 50839, 51317, 50809, 51078, 50890, 51064, 50840, 52109, 65562, 52028, 50865, 51414, 50849, 51034, 63338, 53805, 51977, 51311, 51112, 51136, 51112, 51169, 51112, 52318, 51977, 51980, 52864, 51672, 50901, 51544, 50820, 51311, 50836, 51136, 50818, 51169, 50895, 51651, 54777, 51980, 50901, 51570, 50820, 51311, 50890, 51136, 50961, 51169, 50890, 51672, 53969, 70291, 53805, 50873, 52318, 50948, 51651, 50805, 51034, 67475, 52028, 51591, 51317, 51221, 51078, 50991, 51064, 51363, 51705, 51941, 52109, 52864, 51414, 51111, 51544, 50839, 51317, 50890, 51078, 50818, 51064, 50887, 51719, 53308, 52109, 50901, 51570, 50820, 51317, 50809, 51078, 50895, 51064, 50887, 51414, 55322, 52028, 50849, 51719, 50805, 51034, 50856, 50835, 53805, 51941, 51317, 51255, 50970, 51203, 51169, 51221, 52318, 51941, 51672, 51111, 50420, 51651, 52483, 51471, 51317, 50809, 72427, 51169, 50890, 51303, 54259, 52102, 50873, 51570, 50835, 51317, 50890, 50970, 50890, 51169, 50890, 52571, 50805, 58301, 55489, 54872, 50805, 51034, 72476, 52028, 51191, 51317, 51377, 51078, 51112, 51064, 51162, 51705, 51977, 52102, 51101, 79916, 55777, 51719, 50901, 51544, 50820, 51317, 50818, 51078, 50818, 51064, 50840, 51414, 67772, 52109, 51111, 79916, 50844, 51570, 50839, 51317, 50809, 51078, 50890, 51064, 50840, 51414, 51101, 79916, 54465, 52028, 51121, 51705, 50940, 51719, 50873, 51034, 63338, 52562, 50983, 51136, 51221, 51078, 50991, 51064, 51124, 51560, 51977, 51687, 51100, 79916, 54031, 51719, 50901, 51544, 50820, 51136, 50836, 51078, 50895, 51064, 50887, 51414, 51060, 50660, 50348, 53230, 51980, 51194, 51570, 50820, 74976, 51078, 50811, 51064, 50880, 51414, 51101, 50660, 50350, 53885, 70291, 52562, 50795, 51560, 50940, 51719, 50873, 51034, 67475, 53271, 51761, 51317, 50967, 50970, 51238, 51064, 51238, 51261, 51661, 52102, 51134, 50660, 50353, 54892, 51303, 51100, 51544, 50839, 51317, 50836, 50970, 50846, 77671, 51414, 52605, 52109, 51111, 50660, 50350, 50846, 51570, 50820, 51317, 50811, 50970, 50811, 51064, 51010, 51140, 51235, 51414, 50915, 50660, 50348, 53806, 53271, 50805, 51303, 50873, 51034, 50856, 50835, 52562, 51356, 51136, 51203, 51078, 50991, 51064, 51203, 51560, 51977, 51687, 50915, 79916, 54031, 51719, 66010, 51471, 51136, 50818, 51078, 50895, 51064, 50887, 51414, 53387, 51980, 51194, 51570, 50835, 74976, 51078, 50811, 51064, 51010, 51414, 68247, 52562, 50917, 51705, 50858, 51719, 50901, 51034, 72476, 51846, 50918, 51311, 51124, 51136, 51235, 51169, 51235, 51522, 51977, 52571, 51003, 50660, 50353, 54892, 51687, 50805, 51544, 50820, 51311, 50809, 51136, 50895, 51169, 50895, 51651, 69879, 51672, 51100, 51570, 50839, 51311, 50890, 51136, 50961, 51169, 50895, 51651, 75115, 51846, 50901, 51522, 50940, 51687, 50873, 51034, 63338, 53805, 51551, 51317, 51255, 50970, 51238, 51169, 51124, 52318, 51977, 52102, 51295, 50660, 50350, 56051, 51303, 51111, 51544, 50820, 51317, 50809, 50970, 50884, 51169, 50841, 51651, 69400, 52109, 51121, 51570, 50820, 51317, 50890, 50970, 50880, 51169, 50890, 52102, 51043, 51672, 51111, 56752, 50891, 53805, 50897, 52318, 50940, 51651, 50849, 50660, 50348, 50840, 51034, 67475, 51246, 51162, 51317, 51112, 50970, 50980, 51169, 51500, 51705, 51977, 55349, 51452, 50660, 50350, 53829, 51303, 51204, 51544, 50839, 51246, 50828, 51317, 50895, 50970, 78551, 50895, 51414, 54259, 52109, 51111, 51570, 50820, 79764, 51317, 50809, 67947, 51169, 50809, 51414, 60510, 51705, 50858, 51303, 50873, 51034, 50856, 50835, 51246, 51159, 51317, 51112, 51136, 51159, 51078, 51227, 52318, 51661, 51687, 78264, 51414, 55035, 51471, 51246, 50840, 51317, 50890, 51136, 50809, 51078, 50890, 52109, 66312, 51414, 50943, 51570, 50835, 51246, 50887, 51317, 50895, 51136, 50809, 51078, 50930, 52318, 51235, 51687, 50901, 58301, 54586, 52102, 50805, 51034, 72476, 52028, 51191, 51317, 51377, 51078, 51112, 51064, 51162, 51705, 51977, 52102, 50901, 79916, 55777, 51719, 50873, 51544, 50820, 51317, 50818, 51078, 50818, 51064, 50840, 51414, 65135, 52109, 51101, 79916, 50904, 51570, 50839, 51317, 50809, 51078, 50890, 51064, 50840, 51414, 51111, 79916, 54465, 52028, 51121, 51705, 50940, 51719, 50805, 51034, 63338, 52562, 50983, 51136, 51221, 51078, 50991, 51064, 51124, 51560, 51977, 51687, 51060, 79916, 54031, 51719, 63867, 50660, 50348, 50840, 51544, 50820, 51136, 50836, 51078, 50895, 51064, 50887, 51414, 62118, 51980, 51043, 51570, 50820, 74976, 51078, 50811, 51064, 50880, 51414, 51100, 50660, 50350, 54815, 70291, 52562, 50795, 51719, 50849, 51034, 67475, 53271, 51761, 51317, 50967, 50970, 51238, 51064, 51238, 51261, 51356, 52102, 51134, 50660, 50353, 54658, 51303, 51101, 51544, 50839, 51317, 50836, 50970, 50846, 77671, 51414, 54259, 52109, 51121, 50660, 50350, 50836, 51570, 50820, 50960, 50811, 50970, 50811, 51076, 51010, 51273, 51235, 51651, 50849, 50660, 50348, 52510, 53271, 50805, 51303, 50805, 51034, 50856, 50835, 52562, 51356, 51136, 51203, 51078, 50991, 51064, 51203, 51560, 51977, 51687, 50943, 79916, 55180, 51719, 70006, 51471, 51136, 50818, 51078, 50895, 51064, 50887, 51414, 53387, 51980, 51110, 51570, 50835, 74976, 51078, 50811, 51064, 51010, 51414, 65562, 52562, 50917, 51705, 50858, 51719, 50873, 51034, 72476, 52562, 51029, 51317, 51290, 51078, 51290, 51560, 51977, 51719, 50849, 50660, 50348, 53336, 51414, 51121, 51544, 50820, 51317, 50809, 51078, 50818, 51980, 60307, 51414, 51111, 51570, 50839, 51317, 50882, 51078, 50811, 51719, 71492, 52562, 50873, 51560, 50940, 51414, 50901, 51034, 63338, 51846, 51551, 50986, 51116, 51078, 51427, 51522, 51977, 51719, 51413, 50660, 50348, 54031, 51651, 51060, 51544, 50820, 50986, 50808, 51078, 50817, 51980, 73576, 51651, 50805, 51570, 50820, 50986, 64621, 50930, 51719, 50967, 56752, 50891, 51651, 51111, 50660, 50348, 50857, 51034, 67475, 53805, 52266, 51317, 51159, 50970, 50980, 51169, 51112, 52318, 51227, 51303, 51562, 67440, 55777, 51651, 51111, 51544, 50839, 51317, 50833, 50970, 50880, 51169, 50836, 51261, 51227, 52109, 69879, 51672, 51159, 51570, 50820, 51317, 50810, 61398, 51169, 50867, 51522, 51235, 51651, 71492, 51303, 50805, 51034, 50856, 50835, 53805, 51977, 51317, 51221, 50970, 51215, 51169, 51221, 51140, 51227, 52102, 57437, 52571, 55035, 51471, 51317, 50813, 50970, 50839, 51169, 50867, 51560, 51227, 54872, 54259, 52571, 50845, 51570, 50835, 51317, 50809, 50970, 50887, 51169, 50836, 52318, 50893, 52102, 50805, 58301, 54400, 51461, 50948, 52571, 50805, 58301, 50855, 51034, 72476, 53092, 51551, 51311, 51162, 51136, 51048, 51078, 51048, 52659, 51941, 51687, 51790, 62636, 54507, 51719, 51189, 51544, 50820, 51311, 50862, 51136, 50855, 51078, 50855, 51672, 52605, 51980, 51141, 62636, 50867, 51570, 50839, 51311, 50855, 51136, 50828, 51078, 50836, 51672, 51109, 62636, 54465, 51719, 50849, 51034, 63338, 53805, 52282, 51311, 51203, 51136, 50991, 51169, 51221, 52318, 51977, 51303, 51623, 50660, 50351, 54507, 51651, 51189, 51544, 50820, 51311, 50836, 51136, 50809, 51169, 50809, 51672, 50849, 50660, 50350, 53810, 52109, 51204, 51570, 50820 ]
[ 0, 250, 19448, 5175, 25771, 2214, 14, 7630, 6568, 10, 5679, 26709, 8, 3722, 5466, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 38668, 11212, 6, 8, 30062, 620, 7085, 12280, 642, 4, 20, 2125, 16, 278, 11, 5, 762, 9, 230, 10431, 538, 19, 10, 2635, 226, 22740, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 21437, 10, 33215, 16739, 9, 274, 10431, 401, 6, 163, 6, 2060, 73, 347, 6, 230, 10431, 6, 8, 230, 10431, 119, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 61791, 53038, 50838, 51494, 51283, 51777, 51477, 52070, 79311, 53483, 55191, 51706, 57648, 51777, 50972, 52070, 50972, 52929, 53913, 52649, 50892, 51777, 50972, 51639, 50972, 52070, 50972, 52929, 55945, 53483, 50972, 51429, 51079, 51639, 50838, 52070, 50972, 52461, 55125, 52040, 50995, 51494, 51852, 51429, 51852, 51639, 51645, 52070, 51534, 50459, 51494, 50851, 51429, 50851, 51639, 50851, 78323, 51314, 51847, 51490, 51494, 51447, 51308, 51314, 51777, 65680, 53646, 51313, 52040, 51074, 51561, 51074, 51512, 57997, 52040, 51108, 51561, 51108, 51512, 63190, 52040, 51074, 51561, 51079, 51512, 51079, 68819, 51074, 51144, 50974, 51308, 54177, 51144, 51079, 51308, 50972, 51777, 52688, 51847, 51079, 51144, 50972, 51308, 55378, 52040, 50972, 51561, 50838, 51512, 54938, 56686, 50972, 51706, 51447, 51847, 51314, 51512, 56391, 53646, 50838, 51494, 54323, 53483, 51097, 51512, 51534, 50459, 51308, 50851, 50799, 56686, 50892, 51494, 51148, 51308, 54177, 53646, 50838, 51847, 56307, 53483, 57648, 51308, 52718, 56686, 50974, 51706, 51314, 51847, 51080, 51512, 55103, 53646, 51079, 51494, 52985, 53483, 50981, 51512, 56711, 51308, 50905, 50799, 56686, 50972, 51494, 51314, 51308, 51314, 51777, 60726, 53646, 55191, 53483, 57547, 51639, 54137, 56686, 50838, 51847, 50932, 51144, 51108, 51308, 56350, 53646, 56697, 53483, 50995, 51847, 50981, 51777, 56936, 51429, 70395, 51308, 50851, 50799, 56686, 50892, 52040, 51244, 51561, 51244, 51777, 58879, 52649, 50845, 51512, 58187, 53483, 57648, 51308, 54137, 58001, 50974, 51232, 51314, 51512, 51148, 51429, 51363, 50444, 52649, 61554, 51777, 53140, 52533, 51097, 51429, 54771, 51308, 50974, 62871, 51148, 51777, 55126, 51847, 50972, 51512, 58187, 51777, 55378, 51512, 52718, 56686, 50838, 51706, 51314, 51847, 51244, 51512, 56391, 53646, 51079, 51494, 56697, 53483, 51108, 51512, 51412, 50459, 51308, 50827, 50799, 56686, 50972, 51494, 51244, 51308, 59288, 53646, 50972, 51847, 52688, 53483, 64809, 51308, 54938, 56686, 50838, 51706, 51314, 51847, 51080, 51512, 56391, 53646, 50972, 51494, 56697, 53483, 50932, 51512, 54771, 51308, 50905, 50799, 56686, 50838, 51494, 51314, 51308, 51314, 51777, 60115, 53646, 55191, 53483, 64809, 51639, 54137, 56686, 50838, 51847, 51108, 51144, 51108, 51308, 59242, 53646, 55437, 53483, 51108, 51144, 50932, 51777, 59835, 51429, 60864, 51308, 50827, 50799, 56686, 50972, 52040, 51080, 51561, 51148, 51777, 55126, 52649, 50972, 51512, 58187, 53483, 64809, 51308, 52718, 58001, 50838, 51232, 51314, 51512, 51080, 51429, 56391, 53646, 50838, 51777, 54323, 52533, 51097, 51429, 51534, 50459, 51308, 50874, 62871, 51244, 51777, 55126, 51847, 50972, 51144, 50972, 51512, 58187, 51561, 50974, 51494, 53052, 51144, 50972, 51512, 52718, 56686, 50838, 51308, 51330, 51777, 51108, 52381, 51108, 73405, 50838, 51863, 51330, 52414, 51108, 53188, 63236, 53646, 50972, 60515, 55437, 53483, 51097, 51308, 51108, 51777, 51108, 52381, 51108, 57633, 51097, 51863, 51108, 52414, 51108, 53188, 51108, 79921, 51047, 51308, 51108, 51639, 50932, 52381, 50905, 57166, 51047, 51863, 51108, 52340, 50932, 53188, 55126, 51494, 50905, 52332, 54335, 51308, 50892, 51863, 54100, 51777, 50892, 52414, 53913, 54733, 51145, 51512, 51108, 51429, 51108, 51639, 50932, 66264, 51145, 52255, 51108, 52187, 51108, 52340, 54980, 51494, 51108, 51429, 51097, 51639, 51108, 52332, 51108, 52187, 51097, 52340, 51108, 78323, 50981, 51561, 50972, 51512, 50995, 51429, 50995, 51639, 50838, 60515, 50981, 52402, 50972, 52255, 50995, 52187, 50995, 52340, 54177, 51144, 51477, 51743, 51477, 50426, 51847, 50905, 51308, 50905, 53100, 50905, 51863, 54342, 52040, 50845, 51512, 50901, 53541, 50845, 52255, 55306, 51706, 51148, 51777, 50892, 52070, 51310, 53181, 51148, 52414, 50892, 53129, 51310, 50444, 51494, 50905, 52332, 54323, 51308, 50892, 51863, 54771, 51777, 50974, 51435, 50974, 52414, 50974, 52036, 50974, 79921, 51145, 51494, 51097, 51308, 51477, 51639, 50905, 57166, 51145, 52332, 51097, 51863, 51477, 52340, 55126, 51777, 50892, 52414, 53770, 51494, 50892, 52332, 54100, 51308, 50892, 51863, 53913, 54733, 51148, 51561, 51318, 51494, 51318, 51777, 50844, 66264, 51148, 52402, 51318, 52332, 51318, 52414, 58709, 77595, 51863, 52711, 51777, 51310, 52414, 51310, 50456, 51847, 50892, 53100, 50892, 78323, 51080, 52040, 50974, 51561, 50974, 60515, 51080, 53541, 50974, 52402, 58879, 51494, 50838, 51308, 50972, 52332, 50838, 51863, 55191, 51561, 50905, 51494, 50905, 52402, 50905, 52332, 54342, 51144, 50838, 51512, 50905, 51743, 50838, 52255, 54137, 56686, 50838, 51308, 50932, 51777, 50995, 52381, 50932, 73405, 50838, 51863, 50932, 52414, 50995, 53188, 56350, 53646, 50972, 60515, 55437, 53483, 50995, 51308, 50932, 51777, 50995, 52381, 51097, 57633, 50995, 51863, 50932, 52414, 50995, 53188, 51097, 79921, 51145, 51308, 51108, 51639, 50995, 52381, 50905, 57166, 51145, 51863, 51108, 52340, 50995, 53188, 55126, 51494, 50974, 52332, 56307, 51308, 50974, 51863, 55544, 51777, 50892, 52414, 53913, 54733, 51145, 51429, 50905, 51639, 50995, 66264, 51145, 52187, 50905, 52340, 59791, 51308, 50905, 51863, 54323, 51512, 50892, 51639, 50981, 52255, 50892, 52340, 58667, 51494, 50892, 52332, 50892, 78323, 50915, 51561, 50892, 51512, 50981, 51429, 50981, 51639, 50905, 60515, 50915, 52402, 50892, 52255, 50981, 52187, 50981, 52340, 55126, 51144, 50905, 51743, 54335, 51847, 51003, 51308, 50892, 53100, 51003, 51863, 54100, 51512, 50905, 52255, 54137, 51706, 50981, 51494, 51148, 51308, 50844, 53181, 50981, 52332, 51148, 51863, 58709, 51429, 50844, 52187, 53783, 51777, 50915, 52414, 55247, 53038, 50981, 58366, 58667, 51777, 50892, 52414, 50892, 50799, 52649, 51183, 51561, 50995, 51494, 50932, 51777, 50892, 62146, 51183, 52402, 50995, 52332, 50932, 52414, 55041, 51429, 50892, 52187, 53770, 51561, 50905, 51494, 50974, 52402, 50905, 52332, 55544, 52040, 50974, 51561, 50838, 53541, 50974, 52402, 52718, 52477, 50838, 51706, 51080, 51847, 51145, 55148, 50838, 53181, 51080, 53100, 70190, 53483, 50892, 57633, 54058, 50621, 53646, 50892, 60515, 54771, 53038, 50905, 58366, 50905, 51034, 53646, 51677, 60515, 51677, 50420, 52040, 50838, 51561, 50838, 51512, 50972, 53541, 50838, 52402, 50838, 52255, 55191, 51847, 50972, 51144, 50972, 75434, 53100, 50972, 51743, 50972, 51863, 53052, 51144, 50972, 51308, 50972, 51777, 50838, 51743, 50972, 51863, 50972, 52414, 52718, 51847, 50972, 51144, 50838, 51308, 50974, 53100, 50972, 51743, 50838, 51863, 56391, 52040, 50972, 51561, 50974, 51512, 50972, 53541, 50972, 52402, 50974, 52255, 50972, 61791, 56686, 50838, 51706, 51314, 51847, 51244, 51494, 50905, 51512, 50838, 52332, 50995, 50739, 50286, 50838, 65725, 51314, 61155, 51244, 57041, 50905, 55521, 54177, 53646, 50972, 51494, 50974, 50739, 50293, 50972, 57041, 56307, 53483, 51108, 51512, 51534, 50739, 50298, 51108, 55521, 51534, 50435, 51308, 50874, 54142, 54123, 56686, 50838, 51494, 51080, 51308, 50974, 50739, 50286, 50838, 57041, 51080, 54142, 56391, 53646, 50972, 51847, 51318, 50739, 50293, 50972, 61155, 72269, 53483, 51108, 50739, 50298, 51108, 50799, 56686, 50838, 51706, 51314, 51847, 51080, 51512, 50838, 50739, 50286, 50838, 65725, 51314, 61155, 51080, 55521, 54177, 53646, 50972, 51494, 50838, 50739, 50293, 50972, 57041, 52688 ]
[ 0, 250, 15855, 2125, 19, 5175, 4785, 6, 42, 2214, 1575, 10, 32909, 6, 17465, 102, 6, 8, 17691, 28430, 6, 2351, 10, 15352, 30054, 8, 19448, 5466, 10686, 13, 822, 4, 23973, 11, 163, 3694, 8, 278, 7, 10, 132, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 6, 19, 10, 33215, 16739, 9, 83, 6, 272, 6, 274, 10431, 6, 381, 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 ]	[ 66702, 52211, 50866, 53942, 50866, 55145, 54278, 52211, 50866, 53942, 50866, 55145, 50866, 51057, 52211, 50866, 53942, 50866, 55145, 54278, 52211, 50810, 53942, 50810, 55145, 58779, 53437, 50810, 53942, 50810, 55145, 57181, 52211, 50810, 53942, 50810, 55145, 50810, 51057, 51898, 50866, 56542, 50866, 57538, 54278, 51898, 50866, 56542, 50866, 57538, 50866, 51057, 51898, 50866, 56542, 50866, 57538, 54278, 51898, 50810, 56542, 50810, 57538, 58779, 51898, 50810, 56542, 50810, 57538, 57181, 51898, 50810, 56542, 50810, 57538, 50810, 51057, 52211, 50866, 53942, 50866, 55145, 54278, 52211, 50866, 51431, 50866, 53942, 50866, 55145, 50866, 51057, 52211, 50866, 51431, 50866, 53942, 50866, 55145, 54278, 52211, 79828, 50810, 53942, 50810, 55145, 58779, 52211, 79828, 50810, 53942, 50810, 55145, 57181, 52211, 79828, 50810, 53942, 50810, 55145, 50810, 51057, 51898, 50866, 52061, 50866, 56542, 50866, 57538, 54278, 51898, 50866, 52061, 50866, 55679, 51025, 51057, 51898, 50866, 52061, 50866, 58502, 58193, 51898, 50810, 52061, 50810, 55145, 51025, 50430, 51898, 50810, 52061, 57181, 51898, 50810, 52061, 50810, 51057, 52211, 50866, 51431, 50866, 56787, 51025, 55145, 51025, 56380, 58193, 56787, 50866, 56380, 50866, 51057, 56787, 50866, 56380, 54278, 56380, 51101, 50435, 56380, 50813, 51057, 51784, 51025, 55145, 51025, 56380, 58193, 51784, 51101, 55145, 51025, 56380, 51025, 50435, 51784, 50813, 51057, 51784, 51025, 55145, 51025, 56380, 58193, 51431, 50810, 55145, 51025, 56380, 51025, 50430, 51723, 57181, 51431, 50810, 51057, 52061, 51101, 57538, 51025, 55679, 51025, 50423, 51898, 52524, 51898, 51452, 57538, 51025, 55679, 51025, 51057, 57538, 51025, 55679, 58193, 57538, 51025, 55679, 51025, 51057, 52211, 50866, 55145, 51025, 56380, 58193, 52211, 51101, 55145, 51025, 56380, 51025, 50430, 52926, 57181, 52926, 54112, 52211, 50813, 51057, 52926, 51025, 52039, 51025, 56787, 51025, 54552, 58193, 52039, 51101, 54885, 51025, 61438, 51025, 50435, 52039, 50813, 51057, 53709, 50866, 53942, 51025, 55184, 64965, 54595, 54278, 55216, 51101, 50435, 55216, 50866, 51057, 53942, 51025, 51057, 51784, 51025, 55145, 51025, 56380, 58193, 51784, 51101, 55145, 51025, 56380, 51025, 50435, 51784, 50813, 51057, 51784, 51025, 55145, 51025, 56380, 58193, 51431, 50810, 55145, 51025, 56380, 51025, 50430, 51723, 57181, 51431, 50810, 51057, 52061, 51101, 57538, 51025, 55679, 51025, 50423, 51898, 52524, 51898, 51452, 57538, 51025, 55679, 51025, 51057, 57538, 51025, 55679, 58193, 57538, 51025, 55679, 51025, 51057, 52211, 50866, 55145, 51025, 56380, 58193, 52211, 51101, 55145, 51025, 56380, 51025, 50430, 52926, 57181, 52926, 54112, 52211, 50813, 51057, 52926, 51025, 52039, 51025, 56787, 51025, 54552, 58193, 52039, 51101, 54885, 51025, 61438, 51025, 50435, 52039, 50813, 51057, 53709, 50866, 51431, 50866, 53942, 51025, 55184, 64965, 54595, 54278, 54552, 51101, 50435, 54552, 50813, 51034, 55184, 58193, 50629, 50432, 52278, 50866, 61438, 54014, 50631, 52278, 51101, 61438, 51101, 50447, 52278, 50813, 61438, 50813, 51034, 50634, 52285, 51134, 61438, 58193, 57216, 59102, 51900, 54014, 51784, 50866, 55938, 60182, 52824, 50866, 51034, 51784, 51134, 62383, 58193, 55448, 59102, 52355, 54014, 52824, 50866, 54552, 60182, 51784, 50866, 51034, 51900, 51134, 58502, 58193, 55679, 59102, 51784, 54014, 52824, 50866, 55448, 60182, 52355, 50866, 51034, 52278, 51115, 61438, 58193, 54552, 59290, 52039, 51025, 57538, 51025, 51034, 51431, 51025, 53942, 58193, 51898, 51025, 57538, 59290, 53437, 51025, 55679, 51025, 51034, 52298, 51115, 58524, 58193, 57538, 59290, 53808, 51025, 54552, 51025, 51034, 51898, 51134, 58524, 58193, 55145, 59102, 51898, 54014, 52039, 50866, 54552, 60182, 53437, 50866, 51034, 53808, 51134, 58524, 58193, 54552, 59102, 52298, 54014, 52298, 51101, 50447, 52298, 50813, 51034, 51744, 51134, 61438, 58193, 57216, 59102, 51485, 54014, 51431, 50866, 55938, 60182, 52298, 50866, 51034, 51431, 51134, 62383, 58193, 55448, 59102, 51898, 54014, 52298, 50866, 54552, 60182, 51431, 50866, 51034, 51485, 50866, 58502, 64965, 51744, 54278, 51485, 50866, 55679, 59102, 51431, 54014, 52298, 50866, 55448, 60182, 51898, 50866, 51034, 52298, 51134, 61438, 58193, 54552, 59102, 52039, 54014, 51898, 50866, 57538, 60182, 52298, 50866, 51034, 51431, 51025, 53942, 58193, 51898, 51025, 57538, 59290, 53437, 51025, 55679, 51025, 51034, 52298, 51115, 58524, 58193, 57538, 59290, 53808, 51101, 54552, 51025, 50447, 53808, 50813, 51034, 51898, 51134, 58524, 58193, 55145, 59102, 51898, 54014, 52039, 50866, 54552, 60182, 53437, 50866, 51034, 53808, 51025, 58524, 58193, 50630, 51744, 51025, 54552, 59290, 50626, 57211, 50420, 52824, 59102, 52824, 54014, 52824, 57554, 52824, 51025, 50799, 52285, 51714, 57528, 58524, 51452, 57538, 72270, 50624, 50438, 50625, 53808, 50845, 52211, 50845, 52298, 53562, 50626, 52824, 51025, 57528, 51784, 51134, 57538, 66312, 51784, 54014, 51900, 51025, 57538, 70703, 51784, 54752, 52355, 50866, 67628, 50866, 57538, 71215, 52824, 54278, 52824, 51452, 50438, 58524, 51115, 50799, 53942, 66527, 52355, 59290, 52355, 51025, 54885, 70703, 52278, 51025, 50799, 54219, 51025, 58524, 66527, 52824, 57554, 52298, 51025, 50799, 51898, 51115, 51431, 66744, 53437, 51025, 51898, 51025, 57538, 57554, 53808, 51025, 52039, 51025, 57538, 51025, 50799, 53709, 51025, 53437, 51025, 58524, 57554, 57538, 51101, 50459, 57538, 50813, 50799, 56435, 51115, 55679, 66744, 52298, 51025, 55216, 51025, 54552, 57554, 52298, 51025, 67259, 51025, 58502, 51025, 50799, 52298, 51025, 63513, 51025, 57538, 59290, 52298, 51025, 63513, 51025, 57538, 51025, 50799, 53808, 51714, 52039, 51714, 52298, 51714, 63513, 51714, 57538, 51714, 50799, 57538, 51151, 50426, 52824, 51025, 57929, 59290, 52824, 51025, 57929, 57554, 52824, 51025, 57929, 51025, 73410, 51134, 53689, 51134, 50432, 51784, 50866, 54595, 54014, 51784, 51115, 54595, 51115, 55746, 51784, 51025, 54595, 59290, 52285, 51025, 53808, 57554, 51784, 51025, 54595, 51025, 50799, 52824, 51134, 57929, 51134, 50432, 51784, 50866, 54595, 54014, 52824, 51115, 57929, 51115, 55746, 52824, 51025, 57929, 59290, 52355, 51025, 57350, 57554, 52278, 51025, 60671, 51025, 50799, 52278, 51134, 60671, 51134, 50432, 54219, 50866, 79812, 54014, 54219, 51115, 79812, 51115, 55746, 52355, 51025, 57350, 59290, 52278, 51025, 60671, 57554, 54219, 51025, 79812, 51025, 50799, 54219, 51134, 79812, 51134, 50432, 54246, 50866, 79811, 54014, 54246, 51115, 79811, 51115, 55746, 52824, 51025, 57929, 59290, 52824, 51025, 57929, 57554, 52824, 51025, 57929, 51025, 73410, 51134, 53689, 51134, 50432, 51784, 50866, 54595, 54014, 51784, 51115, 54595, 51115, 55746, 51784, 51025, 54595, 59290, 52285, 51025, 53808, 57554, 51784, 51025, 54595, 51025, 50799, 52824, 51134, 57929, 51134, 50432, 51784, 50866, 54595, 54014, 52824, 51115, 57929, 51115, 55746, 52824, 51025, 57929, 59290, 52355, 51025, 57350, 57554, 52278, 51025, 60671, 51025, 50799, 52278, 51134, 60671, 51134, 50432, 54219, 50866, 79812, 54014, 54219, 51115, 79812, 51115, 55746, 52355, 51025, 57350, 59290, 52278, 51025, 60671, 51025, 57929, 57554, 54219, 51025, 79812, 51025, 57929, 51025, 50799, 54246, 51025, 79811, 51025, 60671, 59290, 54246, 51025, 79811, 51025, 60671, 51025, 58106, 61331 ]
[ 0, 250, 15352, 30054, 3495, 1619, 2214, 4246, 13305, 6, 21979, 9590, 6, 17465, 102, 6, 21979, 8669, 6, 8, 23338, 33518, 1264, 6, 278, 11, 5, 762, 9, 2060, 538, 19, 10, 2635, 6, 19448, 1614, 1073, 1020, 20889, 8, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 33215, 13931, 9, 12608, 6, 163, 43531, 406, 6, 12608, 406, 6, 8, 274, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 50796, 50796, 50454, 51964, 51194, 51869, 51043, 51280, 51043, 51232, 51194, 51099, 51178, 51461, 51412, 54552, 51043, 53085, 51051, 58605, 51051, 78323, 51353, 52477, 51151, 51144, 51359, 51512, 51151, 52318, 51148, 51032, 54088, 55936, 51894, 55287, 52136, 62637, 52519, 50856, 55376, 50970, 54088, 50426, 51317, 52212, 50970, 52011, 51169, 56869, 50804, 57737, 56720, 51246, 51447, 50438, 52318, 51148, 71932, 51169, 51333, 50856, 53035, 51317, 51108, 50970, 51148, 51169, 51333, 66928, 53161, 50804, 51663, 58323, 51246, 51051, 55936, 50917, 56176, 51470, 69773, 78323, 51151, 52477, 51293, 51847, 51313, 51144, 51151, 51308, 51151, 52318, 51535, 51246, 51333, 51317, 51108, 51169, 51738, 62637, 50984, 66928, 51297, 50662, 50343, 50361, 51259, 55614, 57294, 51591, 50418, 51512, 54171, 50426, 50970, 51939, 51169, 51108, 51246, 52059, 51317, 51330, 50804, 51663, 58608, 51246, 52980, 50438, 52318, 51535, 51317, 51097, 51169, 51108, 50856, 59117, 66928, 73265, 51169, 51380, 51317, 51380, 56176, 52212, 50804, 51663, 59169, 60177, 67164, 51461, 63781, 50846, 78323, 51103, 52477, 51127, 51847, 51047, 51144, 51127, 51512, 51103, 51308, 51183, 52318, 51148, 51317, 50932, 51169, 50932, 55936, 50967, 66928, 51466, 55287, 53096, 50856, 60480, 62383, 51362, 50426, 51317, 51097, 51169, 58799, 51663, 59971, 66928, 51337, 54127, 52565, 51512, 51127, 52176, 51103, 51198, 51127, 51144, 51103, 51273, 51047, 50960, 51080, 78349, 51169, 50995, 62383, 51158, 53727, 50933, 62637, 51254, 50856, 63228, 62383, 64949, 50970, 51380, 51169, 51380, 50804, 51663, 60053, 55936, 50967, 54820, 50884, 79921, 51419, 51847, 51244, 51308, 51003, 51494, 51703, 51561, 51703, 51560, 51244, 51136, 50932, 51064, 50995, 58002, 51095, 55287, 51166, 66928, 51697, 50856, 60480, 57294, 51204, 66928, 53220, 51308, 51356, 51136, 50995, 51064, 58799, 51663, 63248, 52746, 51110, 53016, 61782, 53399, 67912, 52565, 54733, 50914, 51847, 51003, 51561, 50915, 51494, 50943, 55366, 51749, 51136, 50995, 51064, 52056, 53085, 51679, 50856, 63281, 51317, 55514, 54733, 50943, 51280, 50915, 51494, 51003, 51512, 51003, 52477, 50981, 51561, 51003, 51136, 51097, 51169, 59975, 51663, 50884, 55350, 57461, 51261, 51058, 55936, 57700, 50883, 79921, 51047, 51847, 51047, 51561, 51183, 51494, 51127, 51308, 51127, 51560, 51244, 51064, 50932, 51317, 50984, 62383, 51486, 55287, 52011, 59916, 52136, 50856, 55800, 51136, 50995, 51064, 56858, 52893, 61426, 55287, 64248, 66928, 58346, 54733, 51183, 51280, 51183, 51561, 51127, 51512, 51183, 52477, 51148, 51494, 51047, 55366, 51244, 51136, 51080, 51169, 51080, 62637, 65024, 59954, 56447, 58271, 51078, 58799, 51663, 60305, 62383, 51100, 54820, 56904, 55936, 51358, 79921, 51145, 51847, 51047, 51561, 51047, 51308, 51047, 51494, 51183, 51560, 51244, 51136, 51108, 51064, 53838, 55287, 52482, 66928, 51642, 50856, 60480, 59916, 52641, 51317, 51380, 51136, 51380, 51064, 77867, 51663, 59971, 53016, 66855, 53399, 56180, 54733, 51148, 52477, 51047, 51280, 51145, 51561, 51047, 51494, 51047, 51512, 51145, 55366, 51477, 51136, 51108, 51169, 51080, 53085, 51852, 50856, 61312, 59916, 52056, 50450, 51136, 51097, 51078, 56858, 51663, 56637, 51261, 51058, 57294, 68067, 50884, 79921, 51003, 51308, 51183, 51847, 51145, 51561, 51183, 51494, 51183, 51560, 51148, 51317, 50995, 51078, 50995, 55287, 53280, 66928, 52136, 50856, 57829, 62383, 51060, 50422, 58002, 70266, 51317, 50995, 51078, 57604, 52893, 63248, 57778, 51158, 50434, 66928, 52691, 51280, 51183, 51561, 51183, 51494, 51127, 51512, 51127, 54733, 51466, 55366, 51749, 51136, 51097, 51169, 51097, 57778, 51100, 62637, 51481, 50856, 65809, 53085, 52256, 50446, 57778, 51173, 59916, 52188, 50450, 51169, 50932, 51136, 51330, 50986, 51330, 50804, 51663, 59096, 57778, 51286, 50458, 51150, 67912, 50846, 78323, 51127, 52477, 51047, 51847, 51047, 51144, 51103, 51512, 51127, 51153, 51047, 51868, 51148, 50986, 51080, 51317, 50995, 51169, 50995, 57778, 51095, 52943, 52059, 56176, 51797, 50816, 55942, 58235, 55936, 51894, 53085, 57104, 51317, 50995, 51169, 59975, 51663, 50828, 54127, 52766, 53646, 51116, 51847, 51194, 51144, 51178, 51512, 51124, 52318, 51337, 51317, 50995, 51169, 50995, 51850, 51174, 52943, 58253, 53683, 59265, 52176, 50910, 51198, 50897, 51144, 50841, 51119, 50800, 51273, 50942, 50960, 50959, 50970, 51008, 51850, 51051, 52235, 67912, 53595, 52746, 50812, 51494, 50833, 51308, 50840, 51561, 50813, 51560, 50822, 51136, 50874, 64323, 52678, 50904, 53016, 56850, 54839, 57916, 52533, 51095, 52040, 50849, 51232, 50849, 74383, 51493, 51212, 50929, 51242, 74963, 51971, 51645, 51992, 51172, 54820, 50884, 59649, 51894, 51280, 51591, 51144, 51307, 51512, 51307, 51140, 51749, 78349, 51169, 51148, 51850, 51637, 50856, 61460, 53871, 53404, 52670, 50970, 51080, 51032, 51314, 50816, 55018, 57737, 57982, 55520, 51157, 54127, 52600, 51153, 51291, 51140, 51477, 51169, 50995, 55520, 66404, 53612, 57854, 51280, 51419, 53085, 79771, 51169, 51253, 55520, 58668, 52050, 54493, 57109, 51876, 63324, 58323, 51153, 51014, 51140, 63781, 54499, 60634, 51317, 51108, 69935, 51486, 51847, 51103, 51308, 51605, 51493, 51535, 50998, 50932, 67806, 55520, 51286, 53016, 51477, 73032, 53612, 58158, 63330, 68907, 51317, 52431, 50929, 51148, 50816, 53802, 51663, 56171, 57778, 51538, 50438, 51847, 51391, 51493, 51535, 50816, 54493, 66331, 53016, 50844, 51992, 51199, 50446, 52840, 51642, 50450, 52533, 50914, 50998, 52056, 50929, 77867, 51663, 53404, 57098, 51847, 64603, 79091, 51308, 51623, 51493, 78973, 50828, 79921, 51127, 51847, 51103, 51494, 51077, 51560, 51148, 51078, 50932, 51317, 51330, 57778, 51110, 52678, 51637, 50816, 55136, 53237, 60683, 56979, 53466, 51078, 51097, 51317, 66772, 55018, 51663, 59485, 58002, 51591, 50430, 52527, 63221, 52943, 51141, 50856, 53219, 51280, 51047, 51561, 51047, 51494, 51183, 51512, 51397, 54733, 51145, 52477, 51391, 55366, 51244, 51169, 51108, 51136, 51330, 50816, 54493, 59117, 52678, 51806, 50446, 52527, 51884, 50450, 51136, 50995, 51169, 56858, 52050, 53665, 61807, 52477, 61738, 60427, 51512, 51014, 50986, 59743, 51663, 50846, 50799, 51512, 51538, 52649, 51103, 51561, 50918, 52659, 51244, 51311, 50933, 51136, 50932, 51169, 51108, 58002, 52221, 53500, 53665, 59720, 52527, 51961, 52235, 51961, 50422, 52721, 51852, 50426, 52477, 50807, 52040, 50914, 51136, 50995, 51169, 50995, 51311, 51108, 57778, 51175, 50816, 54518, 51663, 60063, 55936, 51896, 50856, 53219, 53038, 51003, 52477, 50943, 51706, 50914, 51198, 50889, 75118, 52157, 50981, 70642, 51169, 51097, 52943, 66772, 53612, 60547, 51850, 51679, 50804, 50817, 56576, 53035, 52176, 72687, 50889, 75118, 51706, 50889, 51273, 51480, 50960, 51097, 78349, 51760, 51242, 50816, 54528, 51663, 50895, 54124, 52220, 53584, 50839, 68819, 51307, 51144, 51307, 51308, 51894, 52746, 51313, 51560, 51749, 51317, 51466, 64387, 50816, 53612, 72059, 53852, 59740, 51992, 51542, 52840, 52256, 50425, 55936, 64131, 51317, 51108, 64387, 50856, 53338, 53412, 56446, 55936, 80066, 53219, 51560, 51749, 51317, 51333, 50929, 62877, 53864, 59117, 51064, 74553, 56447, 56453, 58605, 50837, 66928, 52743, 51561, 50943, 64387, 51064, 51108, 51317, 58652, 52050, 53612, 59620, 55936, 51159, 50454, 50798, 58472, 51308, 64785 ]
[ 0, 250, 19448, 8, 5679, 26709, 15855, 2125, 4246, 41, 21979, 8669, 816, 5, 33301, 6, 7513, 30, 10, 31391, 1672, 9590, 6, 21072, 6, 38668, 11212, 6, 8, 18558, 4, 20, 2214, 34, 10, 1619, 619, 7, 24, 8, 16, 1341, 11653, 4, 85, 18, 11, 5, 762, 9, 272, 538, 6, 34, 10, 1769, 20889, 6, 8, 16, 1982, 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 ]	[ 56236, 51444, 51066, 51788, 51066, 50424, 51207, 66605, 51076, 59618, 54432, 74164, 51067, 67289, 51207, 62287, 51444, 51066, 51563, 51066, 52478, 51207, 62643, 51076, 60280, 54432, 62751, 51067, 67476, 51207, 51066, 50449, 51444, 51066, 51438, 51066, 50460, 51207, 50860, 52177, 50947, 63541, 54432, 66057, 51032, 65174, 51207, 51066, 50443, 51444, 51066, 51292, 51066, 50453, 51207, 60271, 50929, 50860, 51809, 54432, 67008, 51032, 54675, 51207, 51066, 50437, 51444, 51066, 51067, 51066, 50447, 51207, 72477, 51078, 61046, 54432, 50860, 51601, 50947, 56111, 51207, 51066, 50430, 51444, 51066, 51032, 51066, 50441, 51207, 63999, 50970, 67413, 54432, 55273, 50947, 50860, 61108, 51066, 50424, 51444, 51066, 51032, 51066, 50434, 51207, 74164, 50970, 67289, 54432, 54554, 50947, 69502, 51207, 51066, 52478, 51444, 51066, 51076, 51066, 50428, 51207, 65174, 50929, 67476, 54432, 56059, 50929, 67976, 51207, 51066, 50459, 51504, 51066, 51076, 51066, 56020, 51207, 66057, 50929, 54684, 54432, 66519, 50929, 70636, 51207, 51066, 50453, 51574, 51066, 51076, 51066, 51601, 51207, 67008, 50929, 54675, 54432, 65492, 50929, 74089, 51207, 51066, 50447, 52562, 51066, 51076, 51066, 50457, 51207, 50860, 60938, 56111, 54432, 65644, 56775, 51009, 50929, 66605, 51207, 51066, 50440, 51444, 51066, 51076, 51066, 51207, 54217, 50451, 56917, 51066, 51207, 55273, 50929, 66426, 62900, 51300, 54432, 50860, 52478, 50929, 71577, 51207, 51066, 50434, 50832, 50860, 51504, 51066, 51076, 51066, 52993, 51795, 50444, 51207, 54554, 50929, 69502, 54432, 73481, 50929, 50860, 52177, 51207, 51066, 50428, 51574, 51066, 51076, 51066, 51207, 54217, 50438, 51207, 70636, 50929, 67976, 54432, 70937, 50929, 60271, 51207, 51066, 55753, 52562, 51066, 51076, 51066, 52993, 51795, 50432, 56917, 50860, 51207, 66519, 60221, 50860, 50929, 73480, 56917, 50860, 54432, 61443, 56917, 51066, 50929, 62183, 51207, 51066, 50458, 56775, 50860, 51601, 56917, 51066, 51444, 51066, 51076, 51066, 51207, 54217, 50425, 60221, 50860, 51207, 65492, 62900, 51009, 50929, 74089, 54432, 61870, 50929, 63999, 51207, 51066, 50457, 51504, 51066, 51076, 51066, 52993, 51795, 53069, 51207, 71577, 50929, 66605, 54432, 59618, 50929, 74164, 51207, 62568, 51574, 51066, 51076, 51066, 51207, 51184, 50461, 51207, 50860, 52478, 50929, 62643, 54432, 71355, 50929, 62751, 51207, 63523, 52562, 51066, 51076, 51066, 52993, 51795, 50454, 51207, 50860, 50960, 51066, 50460, 50929, 50860, 52177, 54432, 50860, 51076, 51066, 50422, 56775, 51009, 50929, 66057, 51076, 50860, 51207, 63284, 51076, 55276, 51444, 51066, 51076, 51066, 51207, 54217, 50448, 56917, 51066, 51207, 62183, 50929, 60271, 62900, 51300, 54432, 50860, 51809, 50929, 67008, 51207, 51066, 50431, 50832, 50860, 51504, 51066, 51076, 51066, 52993, 51795, 50442, 51207, 61443, 50929, 72477, 54432, 65836, 50929, 50860, 51601, 51207, 51066, 50425, 51574, 51066, 51076, 51066, 51207, 51184, 50435, 51207, 61870, 50929, 63999, 54432, 67413, 50929, 55273, 51207, 51066, 53069, 52562, 51066, 51076, 51066, 52993, 51795, 50429, 56917, 50860, 51207, 50860, 50960, 51066, 50434, 60221, 50860, 50929, 74164, 56917, 51066, 54432, 50860, 51076, 51066, 50445, 50929, 54554, 56775, 51066, 51076, 50860, 51207, 51066, 50455, 51076, 73481, 56917, 51066, 51444, 51066, 51076, 51066, 51207, 54217, 57731, 60221, 50860, 51207, 71355, 62900, 51059, 50929, 65174, 54432, 55276, 50929, 56059, 60542, 51732, 51207, 51066, 50454, 51504, 51066, 51076, 51066, 52993, 51795, 51809, 51207, 63541, 50929, 66057, 54432, 54684, 50929, 66519, 51207, 51066, 50448, 51574, 51066, 51076, 51066, 51207, 51184, 50458, 51207, 50860, 51601, 50929, 67008, 54432, 54675, 50929, 65492, 51207, 51066, 50441, 52562, 51066, 51076, 51066, 52993, 51795, 50452, 51207, 50860, 50960, 51066, 50457, 50929, 50860, 50799, 54432, 50860, 51076, 51066, 50419, 50929, 65644, 51076, 50860, 51207, 51066, 50430, 62900, 50860, 51076, 59618, 56917, 57759, 50860, 51444, 51066, 51076, 51066, 51207, 54217, 51684, 51300, 66651, 67289, 56775, 52715, 50860, 51207, 67413, 56917, 56168, 50860, 50929, 55273, 50804, 50860, 54432, 50860, 51137, 51066, 50461, 50791, 50860, 50929, 50860, 52478, 50791, 50860, 51207, 51066, 52993, 51066, 50423, 62900, 52715, 60280, 56917, 57759, 50860, 51504, 51066, 51076, 51066, 52584, 51300, 55703, 67476, 56775, 52715, 50860, 51207, 56059, 56917, 56168, 50860, 50929, 50860, 51382, 50860, 54432, 50860, 51137, 51066, 50455, 50791, 50860, 50929, 50860, 64402, 50860, 51207, 51066, 52584, 51066, 52177, 62900, 52715, 63541, 56917, 57759, 50860, 51574, 51066, 51076, 51066, 51207, 54217, 52474, 51300, 80011, 65174, 56775, 52715, 50860, 51207, 55276, 56917, 56168, 50860, 50929, 50860, 62177, 50860, 54432, 50860, 51137, 51066, 57913, 50860, 50929, 50860, 56403, 50860, 51207, 51066, 52474, 51066, 50459, 62900, 52715, 50860, 51809, 56917, 57759, 50860, 52562, 51066, 51076, 51066, 52585, 51300, 61797, 54675, 56775, 52715, 50860, 51207, 54684, 56917, 58834, 50860, 50929, 66519, 50804, 50860, 54432, 50860, 51137, 51066, 50442, 56775, 57838, 50860, 50929, 50860, 51618, 50860, 51207, 51066, 52585, 51066, 79352, 50860, 57796, 50860, 51444, 51066, 51076, 51066, 51207, 54217, 51684, 51300, 51601, 50791, 56111, 56917, 58834, 50860, 51207, 65644, 50791, 50860, 50929, 65492, 62900, 51300, 50804, 50860, 54432, 50860, 51137, 51066, 63842, 50860, 50929, 50860, 51572, 50860, 51207, 51066, 52993, 51066, 55894, 67413, 50798, 50860, 51504, 51066, 51076, 51066, 52584, 51300, 50457, 50791, 50860, 53028, 50860, 51207, 71249, 50791, 50860, 50929, 50860, 57453, 50860, 54432, 50860, 51137, 51066, 51532, 50860, 50929, 50860, 51556, 50860, 51207, 51066, 51640, 51066, 66651, 67289, 50798, 50860, 51504, 51066, 50947, 51066, 51416, 51300, 52320, 69502, 50791, 50860, 51131, 66426, 50791, 50860, 50986, 50860, 52478, 56775, 61037, 50860, 51504, 50860, 51416, 51066, 51510, 50860, 50970, 71355, 56775, 58834, 50860, 51131, 51066, 64821, 67476, 56775, 53236, 50860, 51574, 51066, 51032, 51066, 52474, 63523, 56917, 57838, 67976, 50791, 50860, 51207, 50860, 54423, 51066, 56403, 50860, 50986, 50860, 55985, 50860, 54432, 50860, 52993, 51300, 71349, 50860, 50929, 63541, 56917, 52715, 50860, 51207, 51066, 50427, 56917, 57838, 54684, 50852, 50860, 51444, 51066, 51076, 51066, 52993, 54217, 50443, 51207, 73422, 50929, 62183, 54432, 61046, 50929, 50860, 51809, 51207, 62819, 51504, 51066, 51076, 51066, 50436, 51207, 73480, 50929, 61443, 54432, 72477, 50929, 65836, 51207, 51066, 52591, 51574, 51066, 51076, 51066, 50430, 51207, 59618, 50929, 61870, 54432, 63999, 50929, 67413, 51207, 51066, 50461, 52562, 51066, 51076, 51066, 60212, 51207, 60280, 50929, 62751, 54432, 67476, 56775, 51009, 50929, 67289, 51207, 51066, 50455, 50791, 50860, 51444, 51066, 51076, 51066, 51207, 54217, 51684, 51066, 52177, 56917, 57759, 50860, 51207, 50860, 51684, 51066, 50423, 50929, 71355, 62900, 51300, 50804, 50860, 54432, 50860, 51137, 51066, 50433, 50929, 50860, 51570, 50860, 51207, 51066, 52993, 51066, 50449, 50798, 50860, 51504, 51066, 51076, 51066, 52584, 51066, 51621, 50860, 51207, 50860, 52584, 51066, 51809, 50929, 50860, 53951, 50860, 54432, 50860, 51137, 51066, 50427, 50929, 50860, 51361, 50860, 51207, 51066, 52584, 51066, 55820 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 980, 219, 5466, 6, 4246, 81, 9756, 8669, 6, 38668, 22052, 6, 17605, 9590, 6, 38668, 483, 6, 8, 3459, 8669, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 6, 2351, 10, 19448, 8, 3366, 219, 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, 0, 0, 0, 0 ]	[ 54458, 50459, 51409, 50883, 53371, 63958, 51263, 53501, 51188, 54430, 51245, 53601, 72723, 54430, 52009, 51362, 52471, 51274, 53372, 51294, 53371, 52570, 51409, 52570, 51942, 53501, 59405, 50828, 54117, 50836, 54117, 58093, 54117, 50855, 54117, 64355, 51155, 50837, 51482, 50828, 51482, 54579, 51482, 50890, 51482, 67596, 51155, 52639, 76910, 51368, 60329, 51063, 54694, 72826, 51368, 61799, 51063, 53705, 52009, 51336, 52471, 51977, 54415, 52282, 51195, 50828, 51195, 58406, 51075, 54002, 59337, 51195, 50840, 51195, 53813, 73650, 51250, 50884, 51250, 57681, 51211, 50836, 77866, 51250, 52510, 51075, 50841, 51195, 50841, 51195, 59484, 51195, 50809, 51195, 53401, 51075, 53035, 51063, 50836, 76910, 51368, 54139, 51063, 50836, 70711, 51368, 54583, 51155, 50828, 51482, 50884, 51482, 56419, 51155, 50820, 51482, 50840, 51482, 50840, 50799, 52009, 51362, 52471, 51274, 53051, 51541, 54117, 50846, 54117, 58486, 54117, 50836, 54117, 54402, 51155, 50863, 51482, 50884, 51482, 55893, 51155, 50841, 51482, 50836, 51482, 53548, 51063, 77186, 50930, 51368, 60579, 57111, 72826, 51368, 53810, 52009, 52282, 52471, 52282, 54415, 52827, 51075, 50836, 51195, 50818, 51195, 53593, 51075, 50818, 51195, 50887, 51195, 54957, 51211, 50887, 51250, 50890, 51250, 58040, 51211, 50887, 77866, 51250, 52510, 51075, 50828, 67250, 51195, 55761, 51075, 50846, 51195, 50818, 51195, 52396, 51063, 50828, 76910, 51368, 58045, 51063, 50836, 70711, 51368, 54319, 51482, 50887, 51482, 66000, 51155, 56047, 51482, 50840, 51482, 66430, 51155, 50829, 72723, 54217, 52009, 51496, 52471, 51343, 53372, 51496, 53371, 53601, 51409, 53501, 51245, 53601, 51263, 53002, 51188, 52570, 59405, 50841, 54117, 50895, 54117, 57705, 54117, 50809, 54117, 52628, 51482, 50818, 51482, 61553, 51155, 53744, 51482, 50887, 51482, 60743, 51155, 53855, 65320, 51368, 50884, 51368, 56499, 57111, 70310, 51368, 54937, 52009, 51685, 52471, 51977, 54415, 51977, 51075, 50828, 51195, 50828, 51195, 54986, 51075, 50884, 51195, 50818, 51195, 53418, 73650, 77866, 51250, 54790, 73781, 51250, 50855, 51250, 54465, 51075, 50841, 51195, 50828, 51195, 55354, 51075, 50846, 51195, 50809, 51195, 55268, 65320, 51368, 50867, 51368, 57168, 65320, 51368, 50890, 51368, 54663, 51155, 50863, 51482, 50887, 51482, 59022, 51155, 50841, 51482, 50840, 51482, 50840, 50799, 52009, 51226, 52471, 51496, 53051, 51541, 54117, 50846, 54117, 54639, 54117, 50836, 54117, 54507, 51155, 50841, 51482, 50895, 51482, 58980, 65502, 51482, 50884, 51482, 53516, 51063, 50855, 76910, 51368, 59974, 51063, 50862, 76910, 51368, 52359, 52009, 52827, 52471, 51685, 54415, 52282, 51075, 50809, 69747, 51195, 54986, 51075, 50809, 51195, 50818, 51195, 52565, 73781, 51250, 76409, 54790, 73650, 51250, 50855, 51250, 54465, 51075, 50846, 69747, 51195, 53641, 51075, 50855, 51195, 50828, 51195, 53533, 54747, 50911, 51063, 50862, 76910, 51368, 54139, 51063, 50855, 72826, 51368, 53875, 57397, 50962, 51155, 50828, 51482, 50884, 51482, 56924, 60302, 50882, 51409, 51031, 53371, 50890, 51155, 50818, 51482, 50836, 51482, 61629, 51263, 54430, 51188, 53501, 51245, 52570, 72723, 54430, 52009, 51573, 52471, 51573, 53372, 51541, 53371, 52570, 51409, 53501, 59405, 50841, 54117, 50846, 54117, 58486, 54117, 50855, 54117, 61292, 51942, 53070, 50734, 50330, 50940, 51482, 50884, 51482, 63754, 51155, 53423, 51155, 50809, 51482, 50818, 51482, 52437, 51063, 50809, 70310, 51368, 65469, 50734, 50330, 51033, 50429, 57111, 72826, 51368, 53695, 52009, 52282, 52471, 52282, 54415, 52282, 51075, 50828, 51195, 50840, 51195, 59093, 50734, 50330, 57836, 51075, 50809, 51195, 50840, 51195, 52444, 51211, 50887, 51250, 50890, 51250, 70988, 50734, 50330, 51160, 50441, 73650, 51250, 50855, 51250, 54465, 51075, 50828, 65033, 51195, 55761, 51075, 50836, 51195, 50841, 51195, 53533, 50734, 50328, 51033, 51063, 50836, 51368, 50855, 51368, 56269, 51063, 50855, 70711, 51368, 54319, 50734, 50327, 50952, 51155, 50841, 51482, 50884, 51482, 56419, 51155, 50841, 51482, 50836, 51482, 50840, 50799, 52009, 51541, 52471, 51274, 53051, 51362, 54117, 50887, 54117, 67694, 50734, 50328, 51160, 51942, 56231, 54117, 50840, 54117, 61292, 51942, 53223, 51482, 50818, 51482, 58158, 51155, 55795, 51155, 50828, 51482, 50809, 51482, 52329, 50734, 50328, 50921, 57111, 76910, 51368, 56338, 51063, 50855, 70310, 51368, 52359, 52009, 52282, 52471, 52282, 54415, 51977, 50734, 50327, 50821, 51075, 50836, 67250, 51195, 55310, 51075, 50836, 51195, 50828, 51195, 53442, 50734, 50328, 51033, 51211, 50887, 51250, 76409, 59846, 51211, 50890, 51250, 50836, 51250, 54465, 50734, 50327, 50948, 51075, 50841, 51195, 50828, 51195, 55354, 51075, 50809, 51195, 50828, 51195, 53533, 51063, 50855, 72826, 51368, 68343, 74208, 51379, 50453, 51063, 50836, 72826, 51368, 53875, 51155, 50829, 51482, 50809, 51482, 57661, 51482, 50855, 51482, 61780, 51155, 50820, 72723, 51732, 52009, 51541, 52471, 51496, 53372, 51573, 51263, 58690, 51188, 58690, 53371, 57676, 51409, 54217, 51245, 57676, 59405, 50846, 54117, 50836, 54117, 64521, 51942, 56231, 51942, 50841, 54117, 50836, 54117, 54402, 50734, 50330, 50921, 51155, 50828, 51482, 50884, 51482, 55893, 51155, 50862, 51482, 50857, 51482, 52524, 57111, 76910, 51368, 64502, 50734, 50330, 58465, 51063, 50836, 76910, 51368, 53810, 52009, 51977, 52471, 52827, 54415, 52282, 51075, 50828, 51195, 50841, 51195, 57398, 50734, 50330, 55632, 51075, 50836, 65033, 51195, 53574, 73650, 77483, 51250, 71647, 50734, 50330, 51160, 50441, 73650, 51250, 50886, 51250, 54434, 51075, 50846, 51195, 50828, 51195, 53641, 51075, 50846, 69747, 51195, 53533, 50734, 50328, 51033, 51063, 50836, 51368, 50887, 51368, 58629, 51063, 50836, 70711, 51368, 54583, 51155, 50834, 51482, 50884, 51482, 61612, 50734, 50327, 68169, 51155, 50841, 51482, 50862, 51482, 50855, 50799, 52009, 51541, 52471, 51541, 53051, 51362, 51942, 50834, 54117, 50809, 54117, 67694, 50734, 50328, 51379, 50417, 54117, 50855, 54117, 54402, 51482, 50895, 51482, 63754, 51155, 60170, 51224, 54069, 51155, 75224, 50828, 51482, 50884, 51482, 53516, 50734, 50328, 50921, 51063, 50381, 53823, 50817, 51368, 50887, 51368, 59974, 51063, 50836, 76910, 51368, 53810, 52009, 51685, 52471, 52311, 54415, 52282, 50734, 50327, 50921, 51075, 63027, 51031, 65033, 51195, 55310, 51075, 50887, 69747, 51195, 53442, 50734, 50328, 50921, 51211, 50887, 77483, 51250, 59779, 51211, 50887, 51250, 50836, 51250, 54400, 50734, 50330, 50921, 51075, 75223, 51031, 69747, 51195, 53641, 51075, 50846, 69747, 51195, 53533, 50734, 50330, 50821, 51263, 50949, 51188, 51031, 51063, 50376, 53823, 50818, 72826, 51368, 64703, 51456, 54363, 51063, 50379, 54936, 50837, 72826, 51368, 53875, 50734, 50330, 50921, 51155, 76494, 50961, 51482, 50961, 51482, 60451, 51155, 74072, 50949, 51482, 50840, 51482, 50840, 50799, 54380, 54430, 51716, 51362, 52547, 51274, 53909, 51362, 50734, 50328, 50921, 53682, 54430, 59405, 50846, 53760, 50840, 53760, 59980, 55317, 58690, 51498, 57676, 51347, 53073, 51497, 51492, 50417, 53760, 50840, 53760, 54507, 50734, 50327, 50921, 50421, 51386, 50863, 51915, 50828, 51915, 54069, 51915, 50887, 51915, 67596, 51386, 52870, 50734, 50328, 50921, 51425, 50840, 51425, 60329, 51222, 54694, 51425, 50836, 51425, 59225, 51222, 53705, 51716, 52282 ]
[ 0, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 765, 2214, 16, 17407, 30, 63, 5386, 8, 9066, 6711, 4, 20, 6755, 12547, 1239, 1312, 1289, 6, 2351, 41, 5466, 9, 814, 8, 10603, 4, 8504, 11, 211, 538, 8, 6780, 10, 23667, 12447, 1001, 20889, 6, 24, 3905, 10, 33215, 16739, 9, 211, 6, 163, 6, 3676, 6, 83, 6, 8, 272, 6, 70, 150, 2329, 1843, 154, 7, 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 ]	[ 56236, 52830, 51745, 51299, 51745, 51301, 51745, 51093, 51745, 51266, 51745, 51304, 51745, 51304, 51745, 52776, 51091, 51088, 51091, 51088, 69467, 51699, 50882, 51088, 50821, 51182, 50821, 51182, 55381, 51299, 51573, 51093, 51745, 51304, 51745, 51304, 51745, 50456, 51699, 74567, 50821, 51182, 50821, 51182, 50821, 68051, 51030, 51093, 51030, 51304, 51030, 51304, 64342, 51699, 50948, 51088, 50936, 51182, 50936, 51182, 63446, 51299, 50921, 51093, 51033, 51304, 51033, 51304, 68981, 51301, 50821, 51266, 50882, 51733, 50882, 51733, 55734, 51088, 51573, 51182, 51573, 51926, 51573, 51926, 51745, 70526, 51541, 51201, 51541, 51690, 51541, 51690, 51541, 50432, 51251, 50890, 51107, 50930, 51384, 50930, 51384, 56341, 51154, 50896, 51201, 50896, 51690, 50896, 51690, 57024, 75848, 76614, 51384, 50821, 51384, 50821, 70526, 51175, 51201, 51175, 51690, 51175, 51690, 78790, 51251, 50865, 75659, 51384, 50948, 51384, 58292, 52065, 50795, 71006, 51558, 50795, 51558, 51736, 51251, 51111, 51107, 51111, 51384, 51111, 51384, 73835, 51699, 51090, 51088, 51090, 51182, 51090, 51182, 51090, 70321, 50835, 51088, 50820, 51299, 50840, 51093, 50840, 51088, 50917, 66466, 51304, 51192, 50420, 51301, 51128, 51088, 50886, 51093, 50864, 51299, 52710, 51301, 50971, 67274, 51093, 51000, 51299, 50800, 51304, 51496, 50432, 51301, 51851, 51088, 50904, 76434, 51299, 52841, 51301, 50941, 51088, 50813, 51093, 50857, 51299, 52711, 51301, 51126, 51088, 50857, 51093, 50886, 51299, 50812, 51733, 66070, 51301, 50904, 51088, 50857, 51093, 50857, 76809, 51384, 51923, 51301, 50864, 51088, 50864, 73317, 76809, 51304, 50806, 68051, 50809, 66528, 51088, 50855, 80154, 51384, 69453, 51304, 61060, 51384, 67237, 51304, 55180, 51299, 50836, 51154, 50867, 51088, 50904, 51107, 50857, 51558, 58292, 51299, 50836, 51154, 50857, 51088, 50867, 51107, 50813, 51558, 51496, 50432, 51299, 50855, 51154, 50904, 51088, 50904, 51107, 53891, 51299, 50840, 51154, 50864, 51088, 50813, 51107, 53086, 51299, 50836, 51154, 50904, 51088, 50886, 51201, 50857, 51384, 60866, 51154, 50840, 51088, 50836, 51299, 50812, 51357, 50959, 51690, 68635, 51299, 50855, 51154, 50840, 51088, 50855, 51107, 50813, 51558, 50893, 68051, 50840, 51301, 50855, 51088, 50836, 51093, 50813, 51384, 51158, 50420, 51299, 50836, 51301, 50904, 51088, 50813, 51093, 50857, 51304, 51620, 51299, 50840, 51301, 69685, 50840, 51093, 50867, 51304, 62138, 51299, 50836, 51301, 50857, 51088, 50836, 51093, 54728, 51299, 50836, 63641, 51088, 50840, 51093, 54758, 51299, 50855, 63641, 51088, 50855, 51093, 50857, 51733, 60866, 51299, 50836, 51301, 50857, 51088, 50840, 76090, 51384, 55764, 51299, 50855, 51301, 50855, 51088, 50840, 70051, 51304, 50865, 68051, 50840, 51154, 69685, 50840, 51107, 50862, 51384, 50930, 50416, 51304, 61060, 51384, 64941, 51304, 55777, 51299, 50855, 51154, 71247, 50836, 51107, 50857, 51558, 58798, 51299, 50836, 66528, 51088, 50840, 51107, 50862, 51558, 55224, 51299, 50855, 51154, 69685, 50855, 51107, 54077, 51299, 50855, 51154, 69685, 50855, 51107, 63634, 51154, 71247, 50836, 51201, 50886, 51299, 50854, 51384, 65399, 51154, 50855, 51088, 50840, 51299, 50833, 51357, 50925, 51690, 63109, 51107, 50841, 51154, 50840, 51088, 50836, 51299, 50810, 51558, 50806, 68051, 50808, 51088, 50844, 51304, 51033, 51301, 51060, 51088, 51095, 50420, 51088, 50971, 51299, 50833, 51304, 57327, 51088, 50904, 51201, 50809, 51251, 50808, 51304, 55104, 51558, 54053, 51088, 50904, 51201, 50836, 51251, 50812, 51284, 65470, 51558, 52841, 51088, 50886, 51301, 50812, 51182, 50858, 51304, 60224, 51088, 50971, 51182, 50840, 51301, 50810, 51304, 63233, 52065, 71247, 50857, 51733, 50830, 51201, 61157, 51384, 54166, 51266, 50862, 73493, 52065, 50878, 51304, 64175, 51384, 50840, 51107, 50854, 66325, 50857, 51733, 50887, 51299, 50800, 51088, 53066, 51088, 52134, 51093, 50867, 51733, 50890, 51299, 52450, 51088, 50886, 75848, 51357, 50833, 51926, 57781, 51690, 52359, 51251, 50808, 51088, 50912, 51357, 50810, 51733, 56535, 51690, 52599, 51093, 51162, 51301, 50889, 51926, 71533, 51542, 73296, 51490, 51182, 76357, 51284, 52519, 51201, 51314, 73296, 51123, 51182, 50984, 52065, 51314, 51699, 53055, 50417, 51201, 51166, 51107, 52482, 50426, 51201, 52048, 51107, 51738, 50438, 51107, 51123, 51201, 51365, 51299, 52263, 51883, 53055, 50441, 51266, 52063, 51093, 52059, 50450, 51266, 53096, 51093, 52048, 73296, 51824, 51887, 54521, 51154, 51203, 51113, 52056, 50417, 51107, 52518, 50426, 51887, 52034, 51154, 51025, 51107, 52048, 51113, 65184, 51251, 50987, 51093, 51254, 51699, 53957, 51154, 51709, 50444, 51357, 54823, 51113, 50886, 51699, 51233, 51699, 52048, 51251, 62214, 51357, 50904, 63441, 50907, 51699, 51051, 52830, 52731, 51093, 67016, 51357, 50851, 51088, 51051, 51699, 52731, 51107, 58087, 51093, 51000, 51088, 51174, 51266, 52518, 51299, 54344, 73296, 52147, 51182, 64488, 51284, 50981, 51201, 52212, 73296, 51079, 51182, 51100, 51699, 52147, 51251, 62557, 51201, 50855, 51107, 54325, 51107, 50813, 51201, 53810, 51107, 50813, 51201, 53574, 51107, 50845, 65979, 51301, 51108, 51883, 51965, 50444, 51093, 50857, 51266, 52741, 51093, 50855, 51266, 52485, 51093, 50813, 51266, 50840, 50799, 51887, 51174, 51113, 50977, 66466, 51883, 51242, 50420, 51107, 52710, 51883, 50874, 69651, 67247, 51887, 65948, 51883, 50827, 51113, 50844, 51107, 52599, 51699, 51079, 51154, 50901, 51093, 50873, 51887, 70856, 51357, 55125, 51154, 50813, 51887, 50827, 51699, 50984, 51113, 53702, 51154, 50813, 51887, 50874, 51357, 50938, 67378, 50808, 51299, 50936, 51299, 51285, 51301, 51685, 51093, 51685, 50420, 51251, 50808, 51299, 61001, 51301, 50809, 51299, 56896, 51301, 50812, 51299, 70228, 51299, 50836, 51301, 69869, 51107, 50813, 51154, 51820, 51299, 50971, 51301, 51126, 50445, 51301, 50813, 51093, 58638, 51251, 50840, 51357, 50878, 50449, 51301, 50836, 51093, 53938, 51299, 51693, 51301, 50984, 51154, 50938, 51107, 79100, 51299, 50971, 51301, 51123, 51251, 50937, 51357, 50892, 70321, 50800, 51299, 51045, 51266, 51196, 51093, 51685, 50420, 51301, 50862, 51299, 54856, 51301, 50840, 51299, 68981, 51299, 50950, 51301, 52729, 51299, 50867, 51301, 54947, 51299, 50971, 51301, 51022, 51107, 50808, 51201, 58638, 76434, 51266, 56317, 74611, 51107, 50959, 50449, 51093, 50840, 51266, 53140, 51299, 50864, 51301, 50851, 75659, 51201, 60077, 51299, 50971, 51301, 50971, 51357, 50865, 51107, 50987, 68051, 50941, 51093, 50925, 51266, 51285, 51182, 67568, 51299, 50904, 51304, 53906, 51299, 51000, 51304, 52559, 51299, 50904, 51304, 51724, 51299, 50822, 51304, 50830, 51284, 50915, 51201, 51356, 50444, 76809, 51304, 52610, 51299, 50800, 51384, 50821, 51558, 58705, 51299, 50858, 64672, 68051, 50882, 51304, 50800, 51304, 50914, 51266, 51204, 50420, 51299, 50800, 51304, 51620, 52065, 50840, 51558, 50890, 51384, 50914, 51182, 51196, 50432, 51558, 50809, 52065, 59826, 51304, 50880, 51299, 50858, 51733, 55480, 51304, 50809, 51299, 53153, 51883, 50858, 51284, 50821, 52405, 51048, 51304, 57024, 51883, 50808, 51284, 50830, 78936, 50941, 51182, 50840, 51384, 50840, 51926, 51364, 51558, 57214, 51699, 50857, 51182, 50836, 51384, 51620, 51182, 50840, 64672, 51699, 62019, 51182, 50840, 51384, 50809, 51699, 50821, 51384, 73835, 51284, 50840, 51384, 50890 ]
[ 0, 250, 765, 6, 1769, 12, 20764, 37903, 9, 5175, 3495, 930, 11, 381, 3694, 6, 4246, 10, 1372, 8, 15352, 30054, 16464, 19, 41, 20425, 619, 6, 2905, 10686, 13, 304, 11, 822, 50, 7630, 14805, 10, 1035, 6711, 6, 21437, 10, 33215, 16739, 9, 272, 73, 250, 6, 3676, 6, 8, 274, 10431, 119, 11, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 51315, 75677, 79306, 53318, 50315, 50858, 53337, 51566, 50861, 51500, 50973, 51566, 50438, 51315, 51016, 55989, 64294, 50921, 50973, 59349, 51120, 51496, 50900, 79896, 53318, 50311, 50921, 52591, 50900, 69856, 79232, 50887, 53523, 51274, 50916, 51552, 50861, 68249, 51120, 51541, 55895, 50991, 50916, 51167, 50861, 50893, 55547, 51343, 50900, 51173, 50916, 65274, 51030, 53523, 70660, 73523, 59306, 51279, 51294, 55513, 51060, 50916, 51192, 50877, 65651, 51324, 51527, 50899, 51158, 50989, 50976, 50973, 51286, 52591, 50899, 77997, 50817, 50973, 50961, 53337, 51541, 50989, 69732, 51603, 50438, 51324, 62001, 50973, 54145, 50989, 57241, 50899, 50809, 57551, 51226, 50916, 79306, 51286, 50973, 51286, 56248, 51290, 50861, 51454, 50973, 51454, 50438, 51315, 61726, 50916, 51060, 50861, 52370, 50315, 57241, 51120, 51551, 50900, 57341, 73796, 50890, 52591, 50900, 69856, 79232, 53150, 50900, 51343, 50916, 51552, 50861, 51496, 50444, 51120, 51541, 55895, 51175, 50916, 51354, 50861, 51286, 55547, 51362, 50900, 51173, 50916, 64515, 50911, 53523, 51290, 50916, 51603, 50877, 51500, 50438, 51279, 51091, 55513, 51173, 50916, 51286, 50877, 67840, 51324, 52097, 50899, 62838, 53936, 50315, 50806, 52591, 50899, 71221, 50811, 50973, 50930, 53337, 53177, 50310, 50993, 50973, 54957, 51324, 52512, 50444, 50973, 75044, 50989, 58954, 74654, 64001, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 765, 37903, 9, 15352, 30054, 5175, 930, 19, 10, 38668, 483, 6, 13305, 6, 8, 17288, 4, 85, 18, 20425, 648, 2635, 6, 19, 10, 2933, 8, 980, 219, 5466, 4, 20, 2125, 16, 11, 274, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 41, 12447, 1001, 20889, 9, 9680, 163, 5683, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52408, 50795, 59802, 50818, 51120, 56100, 52987, 50795, 59802, 53423, 52412, 50795, 59802, 52437, 59802, 52209, 52408, 50795, 59802, 53593, 59802, 52565, 52987, 50795, 59802, 52210, 52276, 50795, 59802, 53641, 59802, 52396, 52987, 50795, 59802, 52349, 52276, 50795, 59802, 53902, 59802, 50818, 50799, 52479, 50795, 59802, 50818, 51234, 56100, 53355, 50795, 59802, 53423, 52408, 50795, 59802, 52437, 59802, 52209, 52479, 50795, 59802, 53593, 59802, 52565, 53355, 50795, 59802, 52210, 52412, 50795, 59802, 53641, 59802, 52396, 53355, 50795, 59802, 53545, 59802, 52349, 52412, 50795, 59802, 53902, 59802, 50818, 50799, 52408, 50795, 59802, 50818, 51247, 56100, 52276, 50795, 59802, 53423, 52412, 50795, 59802, 52437, 59802, 52209, 52408, 50795, 59802, 53593, 59802, 52565, 53209, 50795, 59802, 52210, 52276, 50795, 59802, 53641, 59802, 52396, 53209, 50795, 59802, 52349, 52276, 50795, 59802, 53902, 59802, 50818, 50799, 52412, 50795, 59802, 50818, 51279, 56100, 53378, 50795, 59802, 53423, 52276, 50795, 59802, 52437, 59802, 52209, 52412, 50795, 59802, 53593, 59802, 52565, 53378, 50795, 59802, 52210, 52117, 50795, 59802, 53641, 59802, 52396, 53378, 50795, 59802, 53545, 59802, 52349, 52117, 50795, 59802, 53902, 59802, 50818, 50799, 52408, 50795, 59802, 50818, 51120, 56100, 52987, 50795, 59802, 53423, 52412, 50795, 59802, 52437, 59802, 52209, 52408, 50795, 59802, 53593, 59802, 52565, 52987, 50795, 59802, 52210, 52276, 50795, 59802, 53641, 59802, 52396, 52987, 50795, 59802, 52349, 52276, 50795, 59802, 53902, 59802, 50818, 50799, 52479, 50795, 59802, 50818, 51234, 56100, 53355, 50795, 59802, 53423, 52408, 50795, 59802, 52437, 59802, 52209, 52479, 50795, 59802, 53593, 59802, 52565, 53355, 50795, 59802, 52210, 52412, 50795, 59802, 53641, 59802, 52396, 53355, 50795, 59802, 53545, 59802, 52349, 52412, 50795, 59802, 53902, 59802, 50818, 50799, 52408, 50795, 59802, 50818, 51247, 56100, 52276, 50795, 52276, 50795, 59802, 53423, 52412, 50795, 59802, 52437, 59802, 52209, 52408, 50795, 59802, 53593, 59802, 52565, 53209, 50795, 59802, 52210, 52276, 50795, 59802, 53641, 59802, 52396, 53209, 50795, 59802, 52349, 52276, 50795, 59802, 53902, 59802, 50818, 50799, 52412, 50795, 59802, 50818, 51085, 56100, 52648, 50795, 59802, 53423, 52276, 50795, 59802, 52437, 59802, 52209, 52412, 50795, 59802, 53593, 59802, 52565, 59802, 52210, 52408, 50795, 59802, 53641, 59802, 52396, 52479, 50795, 59802, 53545, 59802, 52349, 52412, 50795, 59802, 53902, 59802, 50818, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 765, 3495, 657, 2214, 4246, 30587, 8, 21979, 29589, 6, 13305, 6, 21072, 6, 8, 10, 6755, 12547, 6, 2351, 10, 19448, 8, 15352, 30054, 1011, 625, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 1769, 20889, 9, 19446, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 9, 272, 6, 83, 6, 8, 211, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50444, 50960, 51798, 50929, 51923, 57304, 57746, 52536, 63426, 51717, 50947, 54994, 51042, 51585, 57189, 73078, 66276, 50438, 50935, 51358, 50929, 51358, 55746, 50988, 51977, 50432, 66276, 50438, 50935, 66442, 50850, 53562, 68205, 64933, 51047, 50692, 50296, 51047, 52474, 51047, 50998, 50924, 53621, 51047, 50415, 50868, 51183, 50416, 50847, 51448, 50935, 51397, 57761, 54851, 50960, 57943, 51311, 58818, 50946, 51047, 50692, 50294, 51047, 51684, 51047, 50960, 51238, 52607, 51047, 50439, 50848, 51145, 50440, 50944, 51562, 50850, 51397, 50450, 51311, 55416, 50998, 51336, 57746, 51047, 50692, 50292, 51151, 51416, 51151, 52241, 79197, 76778, 50416, 50868, 51562, 79168, 50444, 50960, 51798, 51910, 50915, 61675, 53204, 57414, 57304, 57746, 51714, 50692, 50296, 51151, 51374, 51717, 50947, 50918, 51860, 51717, 50420, 51042, 51692, 57189, 51662, 50432, 50847, 51797, 50438, 50935, 51803, 50929, 51358, 50799, 50692, 50298, 62479, 50988, 51742, 50432, 50847, 52059, 50438, 50935, 51101, 63426, 63897, 50850, 56989, 50847, 51333, 50929, 51923, 57304, 57746, 51183, 50692, 50296, 51047, 51338, 51047, 51416, 51047, 64922, 51704, 51047, 52241, 51047, 50415, 50885, 51047, 50416, 50868, 51448, 79168, 50426, 51076, 51427, 50438, 50946, 51183, 50692, 50294, 51047, 51684, 51115, 69160, 52607, 51115, 50439, 50848, 51047, 50440, 50944, 51448, 50850, 51397, 50450, 71655, 57746, 51353, 50692, 50292, 51151, 51338, 51151, 51416, 51151, 50998, 51336, 51704, 51151, 52241, 79197, 50885, 51151, 50416, 50868, 51293, 50847, 51151, 50444, 50929, 54058, 50947, 53586, 58993, 70128, 64539, 50807, 51857, 51717, 51910, 51717, 50947, 51013, 52413, 51492, 53815, 51492, 78738, 60695, 52910, 76891, 67355, 75561, 50427, 73771, 51506, 74048, 51506, 64539, 50807, 51078, 58214, 78024, 50848, 60695, 53218, 51078, 53794, 50944, 51328, 68450, 69604, 50451, 51042, 51681, 50298, 56711, 51506, 75443, 50972, 51078, 71978, 50848, 67921, 51174, 70128, 64539, 50807, 63755, 78738, 60695, 53561, 50929, 69745, 76891, 67355, 50427, 73771, 51506, 74048, 51506, 64539, 61298, 50848, 60695, 52728, 50944, 51328, 68450, 53281, 56086, 51042, 51681, 50298, 50974, 52451, 59671, 54801, 53545, 54921, 57109, 53256, 52349, 51506, 75443, 50972, 50457, 50848, 67921, 51174, 57746, 57680, 50807, 51338, 51717, 51416, 51717, 51076, 51226, 51704, 51492, 53281, 51492, 50415, 50868, 55278, 52910, 68898, 67478, 50947, 51060, 76752, 51097, 50988, 51380, 50432, 50929, 77486, 50988, 57680, 58109, 78024, 50868, 55278, 53218, 50947, 54526, 73419, 50868, 51328, 50451, 50885, 68253, 56711, 50988, 60925, 50972, 50998, 51016, 50457, 50868, 57769, 51174, 57746, 57680, 61839, 50868, 55278, 53561, 50960, 55341, 68898, 67478, 50986, 51343, 76752, 51097, 50988, 74048, 50988, 57680, 61298, 50868, 55278, 52728, 73419, 50868, 51328, 50998, 78765, 50885, 68253, 56711, 50988, 60925, 50972, 51078, 50936, 50457, 50868, 57769, 51174, 57377, 57680, 50807, 51844, 51717, 51349, 51717, 50929, 51160, 51785, 67492, 50800, 54921, 51492, 50415, 50868, 55278, 52910, 77456, 50885, 51097, 55046, 50427, 67478, 50847, 61271, 50929, 56810, 50946, 57680, 50807, 50929, 76801, 78024, 50868, 55278, 58624, 50850, 60722, 51328, 50960, 50952, 50451, 50885, 61729, 56711, 50946, 60925, 60386, 66849, 50868, 57769, 51174, 50960, 51500, 57377, 57680, 61839, 50868, 55278, 53561, 50798, 69264, 50960, 51090, 62810, 51097, 50885, 63575, 60092, 67478, 68898, 50433, 50998, 66564, 50946, 57680, 61298, 50868, 55278, 58624, 50850, 60722, 51328, 56406, 50451, 50885, 61729, 56711, 50946, 60925, 50972, 51078, 59872, 64801, 50868, 57769, 51174, 57377, 57680, 50807, 51844, 51717, 51349, 51717, 50929, 50980, 51785, 67492, 50800, 54921, 67481, 50868, 55278, 52910, 77456, 50885, 51097, 59400, 50427, 67478, 50847, 61271, 50929, 51192, 50437, 50947, 59306, 50946, 57680, 58109, 50981, 53256, 52045, 50439, 50868, 55541, 52728, 73944, 50868, 51328, 50960, 51033, 50451, 50885, 61729, 56711, 50946, 60925, 50972, 50960, 57825, 64801, 76516, 51174, 57377, 56378, 52221, 56025, 50847, 55541, 52910, 75898, 68898, 50427, 67355, 50946, 51380, 50432, 50960, 52322, 50946, 56378, 50807, 51137, 50915, 50929, 62596, 51196, 50902, 51196, 50951, 50896, 57839, 50896, 63056, 50896, 65883, 50896, 53723, 52221, 51907, 60965, 52973, 50833, 50681, 50275, 61298, 50847, 59331, 51942, 52728, 73944, 73419, 51181, 50915, 50947, 51958, 50325, 50896, 63056, 50896, 61714, 50896, 51507, 52221, 51907, 56055, 52973, 67509, 50848, 61729, 50974, 58259, 53312, 50946, 60366, 50972, 50457, 50847, 57248, 51174, 57746, 64539, 50807, 51137, 51161, 51076, 51196, 50902, 51196, 50951, 51196, 51220, 51196, 63056, 51196, 65883, 51196, 61154, 51196, 53723, 51161, 57125, 72343, 55456, 50800, 50681, 50275, 51036, 77471, 51926, 71718, 50848, 58311, 51942, 51036, 51155, 61899, 68898, 67355, 50791, 59749, 73771, 50988, 74048, 50988, 64539, 52496, 51049, 72343, 51475, 65833, 50848, 55278, 52728, 73419, 68450, 73198, 50947, 51043, 50999, 50845, 61714, 50845, 51785, 55701, 50451, 51042, 68253, 56711, 50988, 75443, 50972, 51910, 57484, 51158, 50951, 50879, 65883, 50879, 52413, 51730, 59697, 50848, 57769, 51174, 61281, 60460, 50807, 51416, 51036, 50947, 51286, 50876, 53241, 50968, 53241, 50999, 53241, 57839, 51551, 62844, 51551, 61714, 51336, 51704, 55956, 55701, 59234, 51036, 51301, 51161, 51733, 75189, 50885, 55787, 50807, 51386, 51036, 51063, 56100, 50998, 57944, 67478, 50885, 63575, 55701, 50427, 50988, 51097, 51217, 74048, 51217, 60460, 52496, 52227, 72343, 51475, 65833, 50885, 55787, 52728, 50868, 51328, 79067, 50791, 50812, 51299, 50807, 51304, 63551, 50988, 51681, 50296, 56711, 51217, 51867, 50299, 50972, 50998, 51033, 50968, 50911, 62844, 55195, 59697, 50885, 59968, 51174, 61281, 60460, 50807, 51416, 51036, 51032, 51033, 50968, 51551, 50951, 51551, 51062, 50911, 62844, 56082, 65883, 56082, 70523, 55362, 51704, 55956, 55701, 59234, 51036, 51301, 52382, 51733, 52382, 50415, 50885, 55787, 50807, 51386, 51036, 51063, 56100, 51032, 50884, 51062, 53150, 67478, 50885, 51097, 64687, 51062, 51508, 59749, 50988, 51097, 51217, 51380, 50432, 51032, 75593, 55395, 51217, 60460, 50807, 51032, 50921, 50968, 51551, 50951, 51551, 51062, 50896, 52957, 72343, 51475, 65833, 50885, 55787, 52728, 50868, 51328, 79067, 51032, 51500, 51062, 57191, 58974, 50988, 51681, 50296, 56711, 51217, 51867, 50299, 60386, 59697, 50885, 59968, 51174, 57732, 67900, 60460, 50807, 51416, 50807, 51032, 51500, 50968, 53177, 50323, 53177, 50328, 51090, 51704, 52221, 55701, 72904, 71718, 50885, 55787, 50807, 51778, 51036, 51473, 61899, 67478, 50885, 51097, 51910, 50807, 51076, 51500, 51220, 51090, 61154, 51090, 52413, 59962, 55701, 51251, 50918, 51384, 50918, 50427, 50988, 51097, 51332, 51380, 51217, 74048, 51217, 60460, 50807, 51137, 50807, 55046, 50951, 50896, 65883, 54214, 51907, 60965, 55121, 53187, 65833, 51042, 55787, 52728, 50868, 51328, 51042, 51328, 51181, 50807, 55784, 50999, 50896, 61714, 54214, 51907, 56055, 50894, 55088, 50833, 51600, 50807, 52405, 63551, 50988, 51681, 50296, 56711, 51217, 51867, 50299, 50972, 50457, 51042, 59968, 51174, 57746, 64539, 50807, 51137, 51161, 51076, 51196, 50902, 51196, 50951, 51196, 51220, 51196, 63056, 51196, 65883, 51196, 61154 ]
[ 0, 250, 20902, 8, 17627, 17274, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 21979, 8669, 6, 38668, 22052, 6, 6755, 12547, 6, 10170, 1499, 6, 8, 3459, 9590, 4, 8504, 11, 272, 3694, 19, 10, 182, 1769, 20889, 6, 24, 3905, 10, 33215, 16739, 9, 274, 119, 6, 163, 428, 406, 6, 12608, 6, 8, 230, 119, 4, 20, 2214, 18, 33558, 8, 11653, 6711, 16, 1969, 13, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50643, 55986, 52437, 50843, 53116, 50843, 53083, 50843, 52881, 52330, 52192, 50458, 51531, 51142, 50988, 51965, 50460, 52393, 50984, 51042, 52519, 50461, 51666, 51051, 54399, 51365, 67355, 52563, 51003, 50847, 51199, 50935, 51267, 60383, 52204, 54511, 51449, 53370, 52204, 52243, 51367, 57030, 51007, 51241, 50425, 54399, 51008, 51666, 50878, 50848, 79433, 50847, 51309, 50935, 52063, 52554, 50813, 51707, 50941, 52146, 58412, 51406, 53225, 56565, 73419, 50848, 50905, 51468, 50437, 54399, 50932, 51666, 50915, 53758, 51351, 53752, 59433, 51531, 50854, 52368, 58332, 77363, 70249, 50935, 50892, 52554, 50833, 52146, 58849, 51406, 53225, 55223, 51007, 51330, 51707, 68826, 66329, 50458, 50848, 51481, 79651, 52368, 51097, 50799, 51531, 50915, 51019, 51003, 54924, 52204, 53752, 57074, 52330, 69925, 51871, 51008, 77369, 70249, 50935, 50892, 52554, 50854, 52850, 50810, 51707, 60034, 51406, 53225, 55477, 51149, 70550, 52330, 52015, 50433, 51871, 51244, 66329, 50434, 50868, 51481, 57974, 51205, 51351, 53752, 52800, 77369, 70249, 50935, 50892, 52554, 50810, 51707, 50874, 52850, 78553, 51406, 53225, 55223, 51149, 51330, 50457, 66329, 50458, 50868, 51481, 79651, 54884, 51449, 53818, 51449, 50799, 51908, 50874, 53375, 50959, 51069, 51003, 53752, 57074, 51908, 50959, 53375, 58382, 50885, 51242, 72419, 50850, 50892, 51707, 51008, 51891, 50810, 52850, 60034, 51406, 53225, 55477, 50909, 51330, 50433, 71359, 50434, 50885, 51481, 51468, 50437, 51908, 50915, 53375, 56692, 51019, 51351, 53752, 59433, 54399, 50972, 51666, 68465, 50885, 51242, 72419, 50850, 50892, 51707, 51008, 51891, 50897, 52850, 62450, 51406, 53225, 55223, 50909, 51330, 50455, 52368, 51445, 50456, 51531, 52151, 50457, 71359, 50458, 50885, 51481, 79651, 56490, 51449, 54511, 51449, 52288, 51003, 59113, 51449, 53752, 52639, 77363, 50944, 51101, 50850, 50892, 53154, 51142, 51997, 51008, 52146, 58849, 51406, 53225, 55477, 51007, 51330, 50433, 50944, 51423, 50434, 50848, 51481, 57974, 51228, 51025, 53752, 52800, 50964, 51400, 77363, 50944, 51101, 50850, 50892, 53154, 50827, 51997, 50959, 52146, 50955, 51068, 51406, 53225, 55223, 51007, 51330, 50457, 50944, 51423, 50458, 51908, 51365, 50848, 51481, 79651, 51691, 51008, 54237, 51174, 53818, 51449, 54798, 51003, 53733, 51449, 54638, 52204, 53752, 57074, 51691, 50878, 54237, 50955, 57189, 51242, 75333, 50850, 50892, 51997, 50874, 52146, 50810, 52879, 75310, 51406, 53225, 55477, 51007, 51330, 50433, 50872, 51423, 50434, 50848, 51481, 57974, 54237, 50995, 51691, 50981, 50945, 51351, 53752, 52800, 51908, 50959, 53375, 50987, 77363, 75333, 50850, 50892, 51997, 50878, 52146, 50878, 52879, 58849, 51406, 53225, 55223, 51007, 51330, 50457, 50872, 51423, 50458, 50848, 51481, 79651, 53375, 51775, 51908, 51775, 56271, 51449, 55321, 51449, 54924, 51449, 53400, 51003, 53752, 56818, 51691, 50933, 54237, 57818, 54399, 50978, 51042, 51242, 72419, 50992, 50892, 52814, 51210, 52850, 50955, 52554, 51008, 51068, 51406, 53225, 55477, 51666, 50933, 50935, 51330, 50433, 54399, 51448, 51666, 51878, 71359, 50434, 51042, 51481, 57974, 51205, 51351, 53752, 62120, 50992, 51470, 50935, 51470, 50446, 50868, 58175, 51042, 51242, 72419, 50992, 50892, 52554, 50978, 52814, 50933, 52850, 50878, 51068, 51406, 53225, 55223, 50935, 51330, 50457, 51666, 51008, 54399, 50955, 71359, 50458, 51042, 51481, 79651, 53375, 51312, 53818, 51449, 54924, 51449, 53511, 51449, 50799, 51908, 51576, 51069, 51025, 53752, 57074, 51666, 51775, 54399, 66038, 51205, 51400, 50885, 51242, 72419, 50850, 50892, 52850, 50854, 51997, 50822, 51891, 58849, 51406, 53225, 55477, 50909, 51330, 50433, 71359, 50434, 50885, 51481, 51468, 50437, 51531, 51097, 52368, 51253, 56107, 51025, 53752, 59433, 51871, 50905, 52330, 56697, 51228, 51400, 50885, 51242, 72419, 50850, 50892, 52850, 50955, 51891, 50897, 51997, 51058, 51068, 51406, 53225, 55223, 50909, 51330, 50457, 52939, 53233, 54237, 53233, 64564, 50458, 69047, 51468, 52288, 51025, 51171, 51775, 50944, 52996, 50848, 51775, 54511, 51108, 56490, 51108, 52243, 51367, 52712, 51019, 51400, 50868, 51480, 51217, 51380, 50847, 52378, 53154, 51210, 51997, 51008, 52146, 50822, 53370, 51108, 54924, 51108, 51068, 51406, 53225, 56565, 51468, 53357, 51025, 50992, 51852, 51164, 51534, 50872, 51172, 55321, 51108, 53733, 51108, 53752, 58171, 51068, 59596, 74366, 51506, 51534, 50944, 51775, 50450, 51213, 51400, 51322, 51072, 53154, 51008, 52146, 50955, 51997, 50955, 56490, 51709, 53818, 51108, 51068, 51909, 50820, 50799, 51871, 50904, 52330, 51319, 51666, 50941, 50953, 51003, 51209, 51603, 52243, 51367, 52712, 52330, 52835, 51666, 51000, 51871, 50971, 77363, 70249, 50935, 50892, 51209, 51160, 52554, 50904, 52146, 50822, 51707, 50371, 51822, 51406, 53225, 55477, 51007, 51330, 50433, 66329, 50434, 50848, 51481, 51468, 50437, 51666, 50851, 52330, 59580, 51871, 50912, 50927, 51351, 51209, 50993, 53752, 59433, 52330, 51252, 51666, 53567, 51871, 50851, 77363, 70249, 50935, 50892, 51209, 50993, 52554, 50912, 52146, 50810, 51707, 78627, 51406, 53225, 55223, 51007, 51330, 50457, 66329, 50458, 50848, 51481, 79651, 51666, 50907, 50799, 52330, 54060, 51871, 51000, 50953, 51003, 51229, 51066, 53752, 57074, 52330, 52462, 51666, 50912, 51871, 54504, 77363, 70249, 50935, 50892, 51209, 51300, 51707, 51008, 52554, 50851, 52146, 50942, 51068, 51406, 53225, 55477, 51007, 51330, 50433, 66329, 50434, 50848, 51481, 57974, 52330, 52101, 51666, 51000, 51871, 50984, 50927, 51025, 53752, 52800, 52330, 63667, 51666, 51381, 51871, 51330, 50953, 51400, 77363, 70249, 50935, 50892, 51209, 51932, 51707, 50933, 52554, 50810, 52146, 50878, 51068, 51406, 53225, 55223, 51007, 51330, 50457, 66329, 50458, 50848, 51481, 51468, 50799, 52939, 50941, 51415, 51003, 51547, 50993, 53752, 57074, 52330, 51550, 51666, 50907, 52939, 54504, 77363, 50944, 51101, 50935, 50892, 51547, 51160, 53154, 50912, 52554, 50933, 52146, 50878, 51068, 51406, 53225, 55477, 51007, 51330, 50433, 50944, 51423, 50434, 50848, 51481, 57974, 52330, 51022, 51666, 51123, 52939, 50984, 51213, 51351, 51547, 50993, 53752, 59433, 51666, 50984, 52330, 52462, 52939, 55634, 77363, 50944, 51101, 50935, 50892, 51209, 50923, 53154, 51051, 52146, 50955, 52554, 51008, 51068, 51406, 53225, 55223, 51007, 51330, 50457, 50944, 51423, 50458, 50848, 51481, 51547, 51352, 79651, 52330, 52101, 51666, 50907, 52939, 51022, 54798, 51003, 53752, 57074, 52330, 51550, 51666, 50827, 52939, 55124, 77363, 50944, 51101, 50935, 50892, 52554, 51008, 55653, 50854, 52146, 79041, 51406, 53225, 55477, 51007, 51330, 50433, 50944, 51423, 50434, 50848, 51481, 51468, 50437, 52330, 52101, 51666, 50907, 52939, 64212, 51213, 51351, 53752, 58171, 51068, 57855, 52330, 58483, 51666, 51576, 52939, 51709, 50450, 77363, 50944, 51101, 50935, 50892, 51547, 51066, 52554, 51210, 52146, 50959, 55653, 66437, 52270, 55223, 51007, 51330, 50457, 50944, 51423, 50458, 50848, 51481, 79651, 51666, 51365, 51873, 51128, 50799, 51691, 50941, 50927, 51003, 51256, 50993, 53752, 57074, 51873, 50907, 51666, 50874, 51691, 52580, 77363, 75333, 50850, 50892, 51256, 50993, 51997, 50955, 52146, 50878, 52879, 60034, 51406, 53225, 55477, 51007, 51330, 50433, 50872, 51423, 50434, 50848, 51481, 51468, 50437, 51873, 50851, 51666, 50851 ]
[ 0, 250, 15352, 30054, 8, 1372, 3495, 2214, 19, 11057, 16882, 6, 4246, 3459, 13305, 6, 3459, 9590, 6, 8, 21979, 8, 3459, 29589, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 1769, 20889, 9, 18872, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 3676, 401, 6, 1918, 6, 8, 163, 43531, 1176, 406, 3639, 7, 63, 8728, 8, 19448, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 51544, 50820, 78808, 50796, 51570, 56038, 51762, 51647, 55971, 51762, 50796, 51039, 78651, 52725, 50685, 50319, 50987, 73467, 51108, 50455, 67620, 74373, 67620, 50827, 52177, 67620, 50904, 73467, 65173, 67620, 50971, 73467, 78555, 67620, 50941, 73467, 53998, 62157, 52460, 50685, 50322, 52034, 50447, 52419, 51157, 56887, 50991, 53359, 51124, 60269, 75748, 50799, 50685, 50319, 50978, 50415, 73467, 51534, 50419, 67620, 64999, 73467, 51123, 50425, 67620, 60137, 67620, 50941, 51762, 50430, 73467, 55270, 73467, 50904, 67620, 51126, 50439, 67620, 74787, 73467, 71583, 62157, 51642, 50685, 50322, 51423, 50455, 58578, 64735, 52419, 51160, 60269, 51187, 58077, 56887, 50991, 53359, 51124, 59744, 50932, 69341, 58578, 51481, 50441, 67620, 51283, 51762, 50446, 50685, 50329, 70347, 50685, 50319, 50972, 50461, 50685, 50328, 51797, 52478, 50685, 50319, 51432, 51510, 59094, 62157, 52518, 50428, 50685, 50327, 51254, 50433, 62157, 58087, 50685, 50317, 51852, 50685, 50325, 51172, 60269, 50370, 52418, 58431, 50804, 50370, 52418, 60794, 51273, 50937, 52003, 50974, 53795, 51074, 50685, 50322, 64064, 50371, 52418, 53545, 51560, 51178, 60269, 69330, 57109, 55407, 51363, 52647, 51203, 73467, 51797, 54124, 64676, 56904, 62157, 52168, 51601, 51493, 52311, 56805, 51452, 52126, 51358, 50685, 50324, 52015, 50804, 59765, 52432, 52095, 52082, 59765, 57550, 51289, 59765, 54013, 53281, 65337, 51289, 59765, 53593, 52796, 50924, 52095, 52082, 59765, 59797, 52095, 52082, 59765, 52210, 52898, 51933, 50445, 52095, 52082, 59765, 52396, 52419, 51226, 56887, 51175, 53026, 58077, 51816, 60863, 53973, 51365, 50799, 62179, 51470, 50416, 58599, 60123, 51705, 51294, 56208, 58516, 53359, 50837, 58578, 50978, 50428, 53234, 50924, 52627, 51194, 54282, 54956, 58578, 74521, 51493, 51351, 53026, 56565, 52577, 50978, 50439, 52627, 51051, 50442, 52577, 51022, 50445, 52627, 74955, 53359, 54914, 52318, 51362, 56208, 58321, 52577, 59038, 52627, 62785, 52577, 51524, 50455, 52627, 51319, 50457, 50801, 57461, 51816, 57467, 53795, 50891, 54079, 51204, 54282, 51048, 52930, 51411, 52092, 51534, 53026, 55376, 54096, 50879, 50424, 54096, 50879, 50425, 51816, 54317, 53795, 58832, 51668, 51226, 52930, 52188, 51959, 51203, 52577, 51411, 52867, 53543, 51187, 55698, 52867, 50879, 50440, 51816, 50907, 53795, 59457, 54575, 55489, 51216, 51204, 52577, 51109, 52930, 51484, 51959, 51203, 52898, 51364, 53026, 57583, 53795, 50839, 51816, 58247, 51705, 51241, 52930, 51043, 52092, 50977, 54282, 51158, 52796, 51215, 56208, 50820, 52591, 53603, 73888, 52092, 50827, 52930, 51748, 53234, 50865, 53359, 58659, 53281, 50924, 50425, 53973, 51703, 50426, 52419, 51204, 52577, 51524, 62179, 52263, 53026, 55477, 58599, 52598, 50429, 58578, 52598, 50430, 52627, 51022, 50433, 52577, 59037, 52627, 51022, 53256, 51896, 50438, 52577, 51524, 50440, 52627, 70546, 51705, 51204, 56208, 58780, 52577, 51365, 50445, 52627, 51022, 50448, 52577, 51524, 50451, 52627, 50984, 62179, 51123, 50452, 58599, 61096, 52577, 51862, 58578, 55293, 51493, 51141, 53026, 57620, 52627, 52059, 50461, 52577, 53106, 51809, 56805, 51524, 50419, 51816, 51022, 53359, 53868, 52318, 51204, 52930, 51255, 52092, 51255, 54282, 51112, 56208, 56748, 53359, 50829, 51816, 66699, 58414, 51959, 56180, 52419, 51204, 53973, 52147, 62179, 52263, 53026, 55698, 58599, 52263, 50441, 53464, 50827, 58578, 52407, 50443, 52577, 62565, 53234, 51306, 53464, 66823, 51816, 72145, 52126, 59835, 51705, 51362, 56208, 57208, 51816, 51148, 52003, 51255, 51601, 53359, 50891, 62179, 51123, 50416, 52114, 52179, 58599, 50971, 58578, 55869, 51493, 51204, 53026, 57404, 53643, 51095, 50430, 53281, 50952, 50431, 52126, 65867, 52659, 50933, 52775, 50917, 52796, 53543, 51187, 58316, 51816, 50982, 50440, 51461, 50933, 52126, 70532, 53359, 51128, 50443, 54575, 54811, 52126, 51965, 50445, 52318, 50806, 55009, 50808, 51816, 51452, 53795, 50822, 52775, 50825, 52898, 51933, 50448, 52114, 56508, 51273, 50914, 53026, 58077, 54224, 71206, 53359, 50904, 53795, 50891, 56083, 50912, 51601, 58599, 51051, 50417, 51668, 51141, 52775, 50914, 52003, 51178, 58578, 51008, 56208, 55477, 53795, 68564, 53359, 56552, 58578, 52783, 50432, 51216, 51016, 51816, 51412, 53026, 56748, 52114, 51177, 52126, 51177, 50442, 53795, 53401, 51705, 51204, 56208, 58321, 52003, 51058, 50451, 52647, 57168, 52126, 56974, 51816, 51637, 50457, 51959, 72602, 57498, 52126, 51108, 52867, 50887, 54079, 51204, 54096, 51215, 53026, 59094, 53795, 50846, 54096, 51158, 50429, 51668, 51362, 52126, 51411, 51959, 51534, 51816, 51400, 52867, 54593, 51187, 52600, 52867, 51158, 50439, 53897, 50840, 53795, 50910, 52003, 51178, 50443, 52898, 51364, 50444, 51216, 51221, 53026, 55685, 51816, 51806, 50448, 52647, 58145, 52003, 51174, 52126, 70738, 52114, 74507, 51216, 50873, 50455, 53359, 55397, 51705, 50912, 56805, 51123, 51816, 51328, 52003, 51277, 52796, 51238, 56208, 50820, 51809, 51493, 50907, 50419, 53603, 55777, 52114, 50835, 53359, 50971, 52126, 51212, 51816, 51337, 50421, 51273, 50977, 53281, 50879, 50422, 53643, 51051, 50425, 56887, 51101, 53973, 52440, 62179, 52212, 50426, 52419, 51362, 58599, 52407, 53026, 55477, 58578, 52263, 50434, 53256, 51896, 50437, 51771, 63442, 53359, 55788, 51705, 51204, 56208, 54028, 51816, 53140, 51959, 50912, 50452, 53464, 50867, 62179, 51123, 58599, 62375, 58578, 55162, 51493, 51241, 53026, 57620, 51816, 50943, 52930, 51203, 52478, 53359, 50863, 52427, 51419, 50423, 52318, 51091, 52627, 51400, 56208, 56748, 56887, 59597, 56720, 51771, 70448, 52419, 51294, 53973, 52212, 62179, 52263, 53026, 55698, 52609, 50959, 54282, 51480, 58599, 52598, 50440, 58578, 51878, 50441, 51816, 51043, 50449, 53359, 50863, 51771, 79519, 51705, 51226, 52569, 51043, 52609, 51233, 56208, 50820, 51601, 53359, 51283, 51771, 50977, 52577, 51100, 50416, 62179, 51123, 50417, 58599, 50904, 58578, 55772, 51493, 51204, 53026, 56818, 51771, 51365, 50425, 52577, 51123, 50428, 51771, 51365, 50430, 52577, 51365, 50433, 51771, 51738, 50435, 52318, 51204, 53281, 54593, 51187, 58316, 52577, 50866, 53359, 50914, 50440, 53815, 50924, 50445, 53281, 55149, 51493, 51204, 56805, 50879, 52796, 53841, 51187, 60752, 54575, 71478, 52003, 72647, 54575, 51238, 50460, 51771, 50907, 55635, 51333, 50799, 52609, 59240, 51868, 51362, 52577, 51346, 65385, 54344, 56208, 52639, 54575, 51896, 50427, 55635, 52397, 50428, 56805, 51025, 52126, 52441, 50432, 51668, 51141, 65385, 51244, 53026, 56748, 52577, 51159, 50442, 56805, 51400, 55635, 52011, 50447, 51522, 50925, 54282, 50892, 56208, 58321, 52775, 51177, 50452, 51493, 50974, 50457, 51560, 50937, 56805, 50851, 56083, 51884, 50801, 50828, 54079, 51362, 53795, 51692, 58578, 50838, 53026, 59346, 52114, 51481, 56083, 53486, 50423, 58578, 52168, 50429, 51668, 51294, 52003, 51116, 51816, 51255, 54575, 50884, 52898, 51158, 56208, 52600, 52898, 51896, 50439, 52114, 79174, 52003, 50942, 51816, 51377, 50444, 51216, 51241, 53026, 58321, 56083, 54557, 50449, 52647, 74505, 58578, 51679, 50454, 53359, 61688, 52003, 50937, 51816, 51423, 50459, 51705, 51204, 52126, 54839, 75748, 51601, 52114, 50942, 50421, 51816, 51961, 53359, 51400, 53256, 79287, 52892, 71727, 52419, 51226, 56887, 51345, 53026, 53908, 53256, 51896, 50436, 53359, 59138, 51705 ]
[ 0, 250, 765, 6, 20425, 5175, 37903, 11, 163, 538, 6, 4246, 10, 11006, 4122, 12, 1054, 330, 13305, 8, 38668, 483, 6, 19, 10, 15352, 30054, 648, 2933, 16464, 6, 278, 7, 10, 12701, 4450, 20889, 11, 204, 73, 306, 86, 6, 8, 10, 881, 33215, 13931, 9, 2060, 406, 6, 3676, 1176, 406, 6, 274, 10431, 6, 8, 12608, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 63515, 55794, 52115, 57600, 50795, 53009, 50795, 55439, 50795, 67060, 51631, 54427, 51736, 57600, 50795, 53009, 50795, 55439, 50795, 67060, 51646, 54862, 51918, 57600, 50795, 53009, 50795, 55439, 50795, 67060, 50795, 54427, 51798, 54862, 51923, 57600, 50795, 53009, 50795, 55439, 50795, 67060, 50795, 53638, 50807, 52591, 53856, 50795, 53009, 50795, 53652, 50795, 61107, 51631, 53638, 51736, 53856, 50795, 53009, 50795, 53652, 50795, 61107, 53505, 53638, 51724, 53112, 51820, 53856, 50795, 53009, 50795, 53652, 50795, 61107, 50795, 53112, 51757, 53638, 51754, 53856, 50795, 53009, 50795, 53652, 50795, 61107, 50795, 54427, 50795, 50799, 54862, 52115, 55741, 50795, 53388, 50795, 56590, 50795, 58203, 51631, 53714, 51736, 55741, 50795, 53388, 50795, 56590, 50795, 58203, 51646, 53292, 51918, 55741, 50795, 53388, 50795, 56590, 50795, 58203, 50795, 53714, 51798, 53292, 51923, 55741, 50795, 53388, 50795, 56590, 50795, 58203, 50795, 54862, 50795, 52591, 60117, 50795, 53381, 50795, 54106, 50795, 50732, 50276, 50795, 54862, 51631, 53714, 51736, 60117, 50795, 53381, 50795, 54106, 50795, 50732, 50276, 51646, 53292, 51918, 60117, 50795, 53381, 50795, 54106, 50795, 50732, 50276, 50795, 53714, 51798, 53292, 51923, 60117, 50795, 53381, 50795, 54106, 50795, 50732, 50276, 50795, 54862, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15855, 8, 19834, 12, 13028, 15229, 6, 42, 2214, 7630, 6568, 10, 25306, 5466, 19, 63, 11739, 9, 30062, 620, 7085, 12280, 642, 6, 1021, 5901, 1243, 6, 12280, 3275, 1725, 3109, 6, 26432, 636, 3938, 22052, 6, 8, 21979, 9590, 4, 8504, 11, 5, 762, 9, 272, 3694, 8, 1375, 23, 41, 1614, 1073, 1020, 20889, 6, 24, 6670, 10, 19448, 8, 5679, 26709, 13569, 9862, 6, 19, 17878, 9, 15073, 31605, 1328, 4, 20, 2125, 3905, 10, 33215, 16739, 9, 272, 119, 6, 274, 6, 272, 119, 6, 272, 119, 406, 6, 8, 230, 6, 1271, 5581, 7, 63, 43580, 3693, 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 ]	[ 72191, 53039, 57829, 50621, 53000, 70426, 54254, 58486, 50622, 52566, 64600, 50622, 53267, 64174, 50622, 55228, 51189, 52650, 51343, 50421, 50622, 50422, 50622, 50423, 50622, 77718, 50427, 50623, 50428, 50623, 50430, 50623, 50437, 50623, 50438, 54428, 59764, 50622, 53039, 73423, 50622, 53000, 57681, 50622, 54254, 65809, 52566, 62961, 56265, 50983, 53267, 51343, 50444, 50623, 50447, 50623, 50449, 50623, 50450, 50623, 50451, 50623, 61791, 53647, 58487, 50623, 54428, 72083, 50623, 53039, 57705, 53000, 64600, 54254, 63632, 53715, 51364, 52566, 51343, 50421, 50623, 50422, 50623, 50423, 50624, 50425, 50624, 50426, 50622, 50427, 50623, 50428, 50623, 50429, 50623, 50430, 50624, 50431, 50624, 50433, 50624, 50434, 50624, 50435, 50623, 50436, 50622, 50437, 50622, 50438, 58143, 59901, 50622, 53647, 73423, 50622, 54428, 57681, 53039, 66331, 50623, 53000, 62860, 54969, 50895, 54254, 50879, 50449, 52566, 73059, 53267, 50952, 50457, 52650, 66330, 53118, 50836, 50799, 54969, 76330, 53715, 64600, 56265, 58100, 55228, 52432, 56456, 58158, 63950, 60480, 56456, 55893, 55228, 50895, 56265, 64527, 53715, 61953, 54969, 53516, 53118, 61749, 52650, 50895, 53267, 70690, 52566, 54013, 54254, 50884, 53000, 63519, 53039, 50884, 54428, 59185, 53647, 53230, 58143, 50884, 55372, 57398, 57545, 50895, 55372, 60063, 58143, 55486, 53647, 50884, 54428, 63061, 53039, 50884, 53000, 59653, 54254, 53418, 52566, 50884, 53267, 56068, 52650, 50895, 53267, 59797, 52566, 56650, 54254, 50818, 53000, 65809, 53039, 50884, 54428, 62860, 53647, 53806, 58143, 50884, 55372, 63228, 58143, 50884, 53647, 61312, 54428, 55888, 53039, 50818, 53000, 64915, 54254, 50818, 52566, 60374, 53267, 53409, 52650, 50884, 53118, 58418, 52650, 50884, 53267, 61425, 52566, 56883, 54254, 50818, 53000, 61376, 53039, 50884, 54428, 63318, 53647, 52349, 58143, 50884, 53647, 61160, 54428, 50884, 53039, 60427, 53000, 56924, 54254, 50884, 52566, 62519, 53267, 50884, 52650, 60634, 50623, 53118, 50884, 50799, 63950, 58487, 50623, 50416, 56456, 61060, 50623, 50418, 55228, 55180, 56265, 65291, 56456, 57851, 50623, 50424, 55228, 54392, 56265, 65469, 50623, 50428, 53715, 59974, 50623, 50430, 55228, 50886, 52650, 54216, 53715, 50864, 53267, 59890, 50624, 53715, 50867, 52566, 59079, 54969, 50886, 54254, 52444, 50623, 56265, 50867, 53267, 59360, 50623, 50440, 50623, 53715, 50867, 52566, 54790, 50623, 50442, 50622, 54969, 50857, 54254, 55489, 50622, 53118, 50867, 53000, 67356, 50622, 50446, 53715, 50886, 52566, 53401, 50622, 50448, 54969, 50867, 54254, 59248, 50622, 50450, 50622, 53118, 50813, 53000, 66280, 50622, 50452, 50621, 52650, 50855, 53039, 58629, 50620, 50454, 50619, 54969, 50862, 54254, 70332, 50619, 50456, 50619, 53118, 50855, 53000, 69077, 50619, 50458, 52650, 50855, 53039, 59022, 50619, 50460, 53267, 50887, 54428, 64961, 50623, 57128, 53267, 50884, 57441, 50817, 54610, 51527, 52290, 55597, 54102, 55856, 51889, 58197, 50623, 52650, 50895, 56882, 51552, 50416, 53118, 58486, 50623, 54969, 59720, 53715, 50940, 50419, 50623, 50420, 50623, 50432, 58343, 54241, 50623, 50438, 50697, 50280, 50914, 59861, 50914, 57090, 51054, 57853, 51527, 57644, 52406, 50606, 58909, 57016, 54653, 57644, 57904, 57016, 54385, 60552, 50824, 56220, 50974, 50799, 53267, 50884, 56882, 50993, 54610, 51460, 51889, 58197, 52650, 70426, 53118, 58486, 54969, 59720, 53715, 73427, 58591, 54631, 58343, 52030, 57441, 52125, 50697, 50280, 50914, 59861, 50914, 57441, 50817, 57853, 50894, 58563, 52346, 50606, 68749, 56882, 51527, 50441, 62012, 54478, 58563, 55876, 57020, 53140, 56220, 50892, 50799, 53267, 50884, 58343, 50993, 59168, 50894, 52037, 53678, 53755, 53678, 51889, 74652, 52650, 70426, 53118, 58486, 54969, 58100, 56265, 50940, 50424, 58343, 53939, 58343, 54684, 58343, 55276, 50697, 50278, 50914, 62796, 50914, 57090, 50923, 57853, 50894, 57020, 52406, 50606, 58909, 56220, 54478, 58771, 50806, 57020, 55876, 56220, 54004, 57090, 50802, 57644, 54771, 60552, 50879, 50799, 53267, 50884, 57441, 50817, 54610, 50894, 52290, 53678, 54102, 53678, 51889, 68621, 52650, 50895, 56882, 53174, 50416, 53118, 58486, 54969, 59720, 53715, 58216, 52205, 52309, 52342, 52322, 50697, 50280, 50914, 59861, 50914, 52895, 50806, 57853, 50894, 58563, 52406, 50606, 58909, 62012, 54653, 52342, 50806, 58563, 55118, 57020, 53140, 57090, 51016, 52044, 51016, 56220, 50845, 50799, 52566, 50895, 58771, 51274, 51975, 50918, 59168, 50894, 51567, 60130, 52037, 52988, 51889, 58197, 53267, 72083, 52650, 58486, 53118, 59720, 53715, 57748, 57090, 52125, 50697, 50280, 50914, 59861, 50914, 60552, 50993, 55908, 50894, 62012, 53597, 50606, 53609, 68512, 53743, 62012, 55590, 58563, 53639, 60552, 50824, 57020, 50844, 50799, 52566, 50884, 56882, 50802, 54610, 50894, 52290, 52988, 51889, 74652, 52890, 70426, 52650, 58486, 53118, 59720, 53715, 61955, 58252, 57078, 57090, 56087, 58771, 56810, 50697, 50280, 50914, 59861, 50914, 63104, 51552, 57853, 50894, 58563, 78830, 53609, 55871, 54207, 58563, 54803, 55871, 52843, 62012, 54424, 57090, 50802, 50799, 53267, 50884, 58771, 50993, 59168, 50894, 52037, 53678, 51889, 74652, 52650, 70426, 53118, 58486, 54969, 58100, 56265, 50940, 50424, 58771, 54392, 58771, 52309, 65621, 56810, 50697, 50278, 50914, 62796, 50914, 63104, 50802, 78638, 50894, 64884, 50894, 68512, 52406, 50606, 58909, 62012, 53103, 58771, 50802, 68512, 54803, 62012, 53639, 60231, 50993, 58563, 50812, 50799, 53267, 50884, 60231, 50949, 64884, 50894, 52290, 53678, 54102, 55275, 51889, 58197, 52650, 50895, 58202, 52500, 50416, 53118, 58486, 54969, 59720, 53715, 58216, 66262, 52309, 50657, 50336, 58685, 66262, 54993, 50697, 50280, 50914, 59861, 50914, 58683, 50849, 58563, 52346, 50606, 53609, 57020, 54207, 66262, 50893, 58563, 56888, 57020, 52848, 60914, 51111, 56220, 52757, 50606, 54712, 54066, 51192, 50799, 53267, 50884, 54610, 51013, 52190, 78832, 56025, 52650, 50895, 53382, 50818, 53691, 76971, 53118, 50884, 51975, 50937, 53382, 56933, 54969, 50818, 53382, 59740, 53715, 50940, 53382, 63244, 53382, 60683, 53382, 60170, 53382, 54579, 53382, 58423, 53382, 61396, 53382, 53150, 53410, 74425, 53745, 50606, 68315, 53382, 51736, 60914, 50806, 53410, 50800, 52876, 55295, 52877, 50697, 50280, 50914, 59861, 50914, 52205, 50896, 54610, 51016, 52078, 51145, 52190, 54721, 53640, 50896, 53410, 50854, 52876, 53104, 50606, 50894, 50799, 53267, 50884, 53382, 50980, 54610, 51016, 52190, 67434, 56025, 52650, 50895, 53691, 51675, 50416, 53118, 58486, 54969, 59720, 53715, 50940, 50424, 58683, 52422, 60914, 50806, 53410, 74425, 55295, 52686, 54066, 50806, 53410, 50800, 52876, 53104, 50606, 54362, 50697, 50280, 50914, 59861, 50914, 60914, 50846, 54610, 51274, 52190, 66905, 54066, 62078, 53382, 50828, 53382, 56442, 53382, 63954, 53382, 62859, 53382, 54465, 53382, 50840, 52078, 72143, 53382, 55761, 53382, 59787, 53382, 59248, 53382, 55268, 53382, 51073, 53410, 74425, 53745, 50606, 67979, 56864, 64751, 53382, 67523, 55616, 50795, 50799, 53267, 50884, 60914, 51215, 59168, 50889, 53691, 66468, 50869, 50612, 56025, 52650, 70426, 53118, 50884, 53691, 57705, 54969, 50818, 53691, 63222, 56265, 50940, 53691, 53223, 53691, 57987, 53691, 56818, 53691, 54069, 53691, 61159, 60914, 50809, 53691, 59824, 53691, 52905, 60914, 50910 ]
[ 0, 250, 33928, 8, 15352, 30054, 3152, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 2382, 3459, 29589, 6, 13305, 6, 3459, 9590, 6, 8, 2724, 368, 31365, 25999, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 6, 24, 3905, 10, 33215, 16739, 9, 274, 6, 230, 6, 272, 6, 8, 230, 4, 20, 17627, 17274, 8859, 7630, 6568, 6453, 9, 657, 6, 10563, 6, 8, 7125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 73343, 52674, 50871, 70736, 50877, 55380, 50871, 59981, 50877, 66054, 50876, 69502, 50877, 57239, 60832, 54662, 50824, 51186, 50824, 52447, 50824, 53628, 51732, 52228, 51732, 55329, 69795, 51059, 51065, 70623, 50876, 55267, 52919, 50417, 51028, 60208, 51065, 63315, 59257, 50421, 57209, 77267, 53744, 50902, 60517, 50931, 52968, 59257, 50997, 50803, 54393, 50823, 51436, 52865, 58840, 63567, 50931, 54935, 50902, 58459, 50931, 60404, 52417, 50902, 59009, 57209, 50434, 51120, 50823, 51271, 50823, 51482, 60499, 54350, 50902, 58212, 57209, 50437, 50902, 52952, 51050, 50823, 51720, 50823, 51425, 52466, 51059, 51065, 62293, 57209, 50440, 59257, 50442, 50931, 60404, 60964, 50902, 52940, 50931, 51300, 50446, 51050, 70105, 50811, 51720, 50823, 51425, 77365, 59433, 50902, 63399, 51360, 50823, 52022, 50823, 52899, 52865, 58840, 58261, 51120, 78537, 50823, 51482, 60499, 56399, 51050, 50823, 51720, 50823, 51425, 60499, 50820, 54662, 51059, 51186, 50824, 52447, 52299, 51059, 51065, 61158, 51065, 56554, 51065, 52639, 50997, 50803, 58110, 58121, 54393, 50823, 51436, 52865, 58840, 58528, 51065, 56565, 51120, 67353, 50823, 69593, 51271, 50823, 51482, 60499, 52600, 51050, 50823, 51720, 50823, 51425, 52466, 58840, 62293, 50876, 59650, 51065, 58780, 50931, 50976, 50902, 63999, 51050, 58676, 50811, 51720, 50823, 51425, 77365, 52800, 51360, 50823, 50931, 50824, 52022, 50823, 52899, 52865, 58840, 55223, 50965, 58268, 51120, 75299, 51271, 50823, 51482, 57235, 57185, 51050, 71236, 51720, 50823, 51425, 57235, 50813, 54734, 60297, 50975, 51720, 50824, 51425, 50824, 53880, 51184, 52394, 51184, 54833, 58583, 58840, 70623, 50877, 50976, 67595, 50418, 51065, 56818, 51065, 52639, 51050, 50803, 51720, 50823, 51262, 51779, 51059, 51065, 58528, 51065, 56585, 51279, 50823, 51011, 50823, 51265, 60499, 52600, 51085, 74082, 50823, 51223, 52466, 51059, 51065, 60672, 51065, 58171, 51085, 50823, 51133, 50823, 51223, 77365, 52800, 51503, 50823, 51325, 50823, 52007, 52865, 57235, 58261, 51279, 75159, 50823, 51265, 57235, 57185, 51085, 50823, 51133, 50823, 51223, 60499, 50820, 54852, 50823, 51247, 50976, 50900, 60246, 50823, 71101, 51425, 51599, 61512, 60404, 52639, 51616, 51012, 51061, 63982, 51282, 51012, 51023, 59164, 51118, 51012, 51092, 51012, 54662, 61572, 59237, 79482, 51186, 50824, 52447, 50824, 51061, 51045, 51530, 51045, 53628, 51732, 52228, 51732, 55329, 51732, 51206, 55530, 58840, 61158, 51234, 67587, 61840, 50811, 67764, 51083, 54055, 51185, 54055, 51065, 56554, 51234, 67587, 61840, 50811, 50906, 60404, 52524, 51234, 61572, 59237, 79482, 54393, 50823, 51436, 52865, 58840, 58528, 51234, 67587, 61840, 70621, 60404, 56565, 51234, 67587, 61840, 50803, 67764, 51271, 50823, 51482, 60499, 52781, 51234, 61572, 61840, 50803, 67764, 51720, 50823, 51425, 52466, 58840, 60672, 51234, 67587, 61840, 70621, 60404, 58171, 51234, 61572, 61840, 79482, 51720, 50823, 51425, 60499, 52800, 51234, 61572, 59237, 79482, 52022, 50823, 52899, 51779, 58840, 58261, 51234, 67587, 61840, 50811, 67764, 51271, 50823, 51482, 57235, 57185, 51234, 61572, 61840, 50803, 67764, 51720, 50823, 51425, 60499, 50813, 54662, 61572, 59237, 79482, 51186, 50824, 52447, 52299, 51059, 51065, 61158, 51234, 67587, 61840, 50811, 50906, 60404, 56554, 51234, 61572, 61840, 70621, 60404, 52524, 51234, 61572, 59237, 79482, 54393, 50823, 51436, 79597, 51237, 51185, 60005, 58840, 58528, 51234, 67587, 61840, 70621, 60404, 56585, 51234, 61572, 61840, 50803, 67764, 51271, 50823, 51482, 60499, 52781, 51234, 61572, 59237, 79482, 51720, 50823, 51425, 50860, 51557, 51483, 51193, 72223, 58840, 60672, 51234, 61572, 61840, 70621, 57235, 55685, 51234, 67587, 61840, 79482, 51720, 50823, 51425, 50823, 51616, 51483, 51061, 51483, 51065, 52725, 51234, 61572, 59237, 50803, 67764, 52022, 50823, 52899, 52865, 58840, 58261, 51234, 67587, 61840, 50811, 67764, 51271, 50823, 51482, 79597, 51483, 51185, 51483, 51065, 57185, 51234, 67587, 50817, 50871, 50811, 67764, 51720, 50823, 51425, 57235, 50813, 54734, 59237, 50803, 58336, 56245, 64320, 51425, 50824, 51118, 52379, 51092, 52379, 53880, 51732, 52394, 51732, 54833, 69795, 51059, 51065, 61158, 51247, 61840, 50811, 58336, 50876, 57235, 56554, 51247, 59237, 50811, 58336, 50876, 57235, 52524, 51247, 59237, 50811, 58336, 60832, 51720, 50823, 51262, 51779, 58840, 58528, 51247, 59237, 50811, 58336, 50876, 60404, 56585, 51247, 59237, 50811, 58336, 60832, 51011, 50823, 51265, 60499, 52781, 51247, 59237, 50811, 58336, 60832, 51133, 50823, 51223, 53236, 51059, 51065, 60672, 51247, 61840, 75299, 50876, 60404, 55685, 51247, 59237, 50811, 58336, 60832, 51133, 50823, 51223, 60499, 52725, 51247, 59237, 50811, 58336, 56245, 51325, 50823, 52007, 51779, 58840, 58261, 51247, 59237, 50811, 58336, 60832, 51011, 50823, 51265, 57235, 56399, 51247, 59237, 50803, 58336, 56245, 51133, 50823, 51223, 60499, 50813, 54734, 59237, 50811, 58336, 56245, 64320, 51425, 52299, 58840, 61158, 51247, 61840, 50811, 58336, 50876, 57235, 56554, 51247, 61840, 50803, 58336, 50876, 57235, 52524, 51247, 59237, 50803, 58336, 56245, 51720, 50823, 78702, 51282, 51237, 51023, 60005, 58840, 58528, 51247, 61840, 50811, 58336, 50876, 60404, 56565, 51247, 59237, 50803, 58336, 56245, 51011, 50823, 51265, 77365, 52600, 51247, 59237, 50811, 58336, 60832, 51133, 50823, 51223, 50823, 51616, 51483, 51061, 72223, 51059, 51065, 60672, 51247, 61840, 50811, 58336, 50876, 60404, 58171, 51247, 61840, 50811, 58336, 60832, 51133, 50823, 51223, 50860, 52047, 51483, 51118, 51483, 51065, 52725, 51247, 61840, 75299, 60832, 51325, 50823, 52007, 53451, 58840, 58261, 51247, 61840, 75299, 60832, 51011, 50823, 51265, 50811, 51282, 51483, 51023, 51483, 51065, 57185, 51247, 59237, 75299, 60832, 51133, 50823, 51223, 60499, 50813, 53997, 58891, 72139, 56245, 70259, 51915, 50824, 51401, 52379, 51020, 52379, 52394, 51732, 52491, 51732, 55297, 69795, 58840, 61158, 51085, 66545, 72139, 50876, 60404, 56554, 51085, 58891, 72139, 50876, 60404, 52524, 51085, 58891, 50811, 58161, 60832, 51133, 50823, 51223, 52865, 58840, 58528, 51085, 58891, 71294, 50876, 57235, 56585, 51085, 58891, 71294, 56245, 70702, 51726, 60499, 52781, 51085, 58891, 71294, 56245, 66436, 51368, 53236, 51059, 51065, 60672, 51085, 66545, 72139, 50876, 60404, 55685, 51085, 58891, 50803, 60373, 56245, 66436, 51368, 77365, 52800, 51085, 58891, 71294, 56245, 66490, 52191, 51779, 58840, 58261, 51085, 66545, 72139, 60832, 70702, 51726, 57235, 57185, 51085, 58891, 72139, 56245, 66436, 51368, 60499, 50820, 53997, 66545, 50811, 58161, 56245, 70259, 51915, 52299, 58840, 61158, 51085, 66545, 50811, 58161, 50876, 57235, 56818, 51085, 66545, 72139, 50876, 60404, 52639, 51085, 58891, 50811, 58161, 60832, 51133, 50823, 51223, 50823, 51083, 51483, 51185, 74050, 58840, 56839, 51085, 66545, 72139, 50876, 60404, 56565, 51085, 66545, 71294, 56245, 70702, 51726, 50860, 51083, 51237, 51185, 51237, 51065, 52781, 51085, 58891, 71294, 56245, 66436, 51368, 53236, 58840, 60672, 51085, 66545, 72139, 50876, 60404, 55685, 51085, 66545, 72139, 60832, 66436, 51368, 50860, 51118, 51045, 51092, 51045, 51065, 52725, 51085, 66545, 72139, 60832, 66490, 52191, 50823, 51083, 51483, 51185, 74050, 58840, 57208, 51085, 66545, 72139, 60832, 70702, 51726 ]
[ 0, 250, 182, 251, 15855, 2125, 14, 115, 28, 341, 25, 10, 19834, 13, 41, 9066, 822, 4, 85, 1575, 10, 2342, 4467, 816, 5, 483, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 17691, 28430, 6, 326, 5638, 18026, 6, 8, 9590, 3863, 4, 20, 930, 16, 455, 9, 814, 8, 4149, 6, 1311, 10, 1472, 9, 9733, 4, 85, 16, 278, 11, 211, 3694, 8, 34, 10, 182, 1769, 20889, 9, 1878, 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 ]	[ 50799, 50643, 50796, 63535, 52167, 51384, 54088, 50418, 51488, 52167, 51905, 54088, 50422, 51107, 52167, 51384, 54088, 50426, 51395, 52167, 51811, 54088, 50430, 51107, 52167, 51384, 54088, 50434, 51488, 52167, 51905, 54088, 50438, 51107, 52167, 51384, 54088, 50442, 51488, 52167, 51905, 54088, 50446, 51107, 52167, 51384, 54088, 50450, 51395, 52167, 51811, 54088, 50454, 51107, 52167, 51384, 54088, 50458, 51488, 52167, 51905, 54088, 63535, 52167, 51384, 54088, 50418, 51488, 52167, 51905, 54088, 50422, 51107, 52167, 51384, 54088, 50426, 51395, 52167, 51811, 54088, 50430, 51107, 52167, 51384, 54088, 50434, 51488, 52167, 51905, 54088, 50438, 51107, 52167, 51384, 54088, 50442, 51488, 52167, 51905, 54088, 50446, 51107, 52167, 51384, 54088, 50450, 51395, 52167, 51811, 54088, 50454, 51107, 52167, 51384, 54088, 50458, 51488, 52167, 51905, 54088, 63535, 54088, 51384, 54088, 51251, 51824, 52371, 53024, 52371, 53024, 51886, 51748, 52494, 51449, 50418, 51488, 52946, 51905, 52946, 50422, 51107, 52167, 51384, 52167, 50426, 51794, 51142, 51395, 52167, 51811, 52167, 53599, 51376, 53599, 51376, 50430, 51107, 52179, 51384, 52179, 50434, 51488, 52179, 51905, 52179, 50438, 51426, 51008, 51107, 51862, 51384, 51862, 52481, 51074, 52481, 51074, 50442, 51488, 51524, 51905, 51524, 50446, 51107, 51524, 51384, 76267, 51794, 50878, 51395, 51365, 51811, 51365, 53599, 51753, 53599, 51753, 50454, 51107, 51210, 51384, 74981, 51488, 51210, 51905, 51210, 67378, 50897, 51107, 51142, 51384, 51142, 52371, 50892, 52371, 73826, 52494, 52069, 50416, 51886, 52069, 50418, 51488, 51142, 51905, 51142, 50422, 51107, 51051, 51384, 59386, 51395, 50933, 51811, 50933, 53599, 50866, 53599, 50866, 51794, 50938, 50430, 51107, 50933, 51384, 62727, 51488, 51008, 51905, 59983, 52481, 50830, 52481, 50830, 51107, 50959, 51384, 50959, 51426, 50938, 50442, 51488, 50959, 51905, 63251, 51107, 50955, 51384, 58238, 51395, 50955, 51811, 50955, 53599, 50917, 53599, 50917, 51794, 50924, 50454, 51107, 50878, 51384, 61997, 51488, 50942, 51905, 50942, 63535, 50854, 51384, 50854, 52371, 50893, 52371, 50893, 51251, 53280, 51886, 54532, 56200, 54532, 53767, 54532, 53013, 51183, 51485, 52122, 53954, 52250, 52351, 78666, 51900, 51077, 52351, 57226, 51488, 50854, 51905, 50854, 52351, 64040, 52351, 53405, 51107, 50854, 51384, 50854, 52351, 58409, 52351, 54951, 51488, 50854, 51905, 50854, 52351, 63026, 52351, 52872, 51107, 50854, 51384, 50854, 53599, 50873, 53599, 50873, 52351, 66518, 52351, 56609, 51488, 50854, 51905, 50854, 52351, 61193, 52351, 53196, 51107, 50854, 51384, 50854, 52351, 58039, 51426, 50834, 52480, 51008, 60059, 51008, 55132, 51008, 52173, 50959, 52351, 54950, 51154, 50846, 51488, 50854, 51905, 50854, 52171, 50878, 64975, 50878, 56988, 50878, 51802, 50822, 52351, 57892, 51088, 50828, 52367, 50854, 67824, 50854, 63071, 50854, 51950, 50955, 52351, 52904, 51107, 50854, 51384, 50854, 52371, 50805, 52371, 50805, 51375, 51189, 54051, 51413, 50724, 50348, 51413, 50719, 50336, 51413, 55826, 51003, 52933, 51218, 52351, 73052, 52351, 56432, 51488, 50854, 51905, 50854, 52351, 65672, 52351, 53594, 51107, 50854, 51384, 50854, 52351, 59265, 52351, 54914, 51488, 50854, 51905, 50854, 52351, 57855, 52351, 53003, 51107, 50854, 51384, 50854, 53599, 50805, 53599, 50805, 52351, 70738, 52351, 56782, 51488, 50854, 51905, 50854, 52351, 60570, 52351, 53555, 51107, 50854, 51384, 50854, 52351, 57950, 51088, 50891, 52367, 50912, 67824, 50912, 63071, 50912, 51950, 50822, 52351, 55053, 51154, 50870, 51488, 50854, 51905, 50854, 52171, 50907, 64975, 50907, 56988, 50907, 51802, 50987, 52351, 57243, 51426, 51258, 52480, 51008, 60059, 51008, 55132, 51008, 52173, 50955, 52351, 50863, 63535, 50800, 64672, 52371, 50893, 52371, 50893, 51251, 53577, 51886, 51878, 56200, 51878, 53767, 51878, 53013, 51562, 51900, 51115, 52351, 78666, 52351, 56231, 51488, 50833, 51905, 50833, 52351, 64040, 52351, 53738, 67247, 64672, 52351, 58409, 52351, 53991, 51488, 50812, 51905, 50812, 52351, 63026, 52351, 52872, 67247, 64672, 53599, 50873, 53599, 50873, 52351, 65368, 52351, 57265, 51488, 50800, 51905, 50800, 52351, 62169, 52351, 53196, 75352, 51384, 50858, 52351, 58039, 51301, 50839, 52433, 50987, 63668, 50987, 56940, 50987, 52351, 54483, 51154, 50846, 51488, 50859, 51905, 50859, 52171, 50978, 64975, 50978, 56988, 50978, 51802, 50959, 52351, 57892, 51088, 50846, 52367, 50925, 67824, 50925, 63071, 50925, 51950, 50955, 52351, 53018, 75352, 51384, 50858, 52371, 50879, 52371, 50879, 51113, 50983, 53297, 51291, 78097, 51291, 50719, 50337, 51291, 54668, 50807, 52515, 50915, 52351, 69864, 52351, 56432, 51488, 50800, 51905, 50800, 52351, 65672, 52351, 53325, 75352, 51384, 50858, 52351, 57785, 52351, 54673, 51488, 50800, 51905, 50800, 52351, 57989, 52351, 52805, 75352, 51384, 50858, 53599, 51121, 53599, 51121, 52351, 70738, 52351, 56597, 51488, 50859, 51905, 50859, 52351, 61733, 52351, 53555, 76614, 51384, 50821, 52351, 61010, 51088, 50829, 52367, 50987, 67824, 50987, 63071, 50987, 52351, 55397, 51154, 50928, 51488, 50800, 51905, 50800, 52171, 50959, 64975, 50959, 56988, 50959, 52351, 57243, 51426, 51004, 52433, 50959, 63668, 50959, 56940, 50959, 52351, 50870, 63535, 54088, 51384, 54088, 51251, 51376, 52371, 51074, 52371, 51074, 51886, 55068, 56200, 51283, 53767, 52121, 52351, 50932, 50418, 51488, 52946, 51905, 52946, 50422, 51107, 52167, 51384, 52167, 50426, 51794, 51210, 51395, 52167, 51811, 52167, 53599, 51884, 53599, 51884, 50430, 51107, 52179, 51384, 52179, 50434, 51488, 52179, 51905, 52179, 50438, 51107, 51862, 51384, 51862, 52481, 51376, 52481, 51376, 51426, 50866, 50442, 51488, 51524, 51905, 51524, 50446, 51107, 51524, 51384, 76267, 51395, 51365, 51811, 51365, 51794, 50938, 53599, 50892, 53599, 50892, 50454, 51107, 51210, 51384, 74981, 51488, 51210, 51905, 51210, 63535, 51142, 51384, 51142, 51251, 50865, 52371, 50849, 52371, 50849, 50418, 51488, 51142, 51905, 51142, 50422, 51107, 51051, 51384, 59386, 51395, 50933, 51811, 50933, 51794, 50936, 53599, 50879, 53599, 50879, 50430, 51107, 50933, 51384, 62727, 51488, 51008, 51905, 59983, 51107, 50959, 51384, 50959, 51426, 50938, 52481, 50879, 52481, 50879, 50442, 51488, 50959, 51905, 63251, 51107, 50955, 51384, 58238, 51395, 50955, 51811, 50955, 53599, 50795, 53599, 79819, 50911, 50454, 51107, 50878, 51384, 61997, 51488, 50942, 51905, 50942, 63535, 50808, 51384, 50808, 52371, 51192, 52371, 51192, 51251, 55812, 51886, 51448, 56200, 51448, 53767, 51448, 53013, 51047, 51485, 52122, 53954, 52250, 52351, 50891, 50416, 51900, 51218, 52351, 61252, 51488, 50812, 51905, 50812, 52351, 62503, 52351, 53405, 51107, 50859, 51384, 50859, 52351, 58115, 52351, 53899, 51488, 50833, 51905, 50833, 52351, 58964, 52351, 52670, 67247, 64672, 53599, 50805, 53599, 50805, 52351, 66518, 52351, 55028, 51488, 50808, 51905, 50808, 52351, 59277, 52351, 52767, 51426, 50863, 67247, 64672, 52480, 51008, 60059, 51008, 55132, 51008, 52173, 50905, 52351, 58039, 51154, 50834, 52171, 50878, 64975, 50878, 56988, 50878, 51802, 50977, 52351, 53439, 51088, 50828, 51488, 50833, 51905, 50833, 52367, 50844, 67824, 50844, 63071, 50844, 51950, 50925, 52351, 57514, 51113, 50818, 54051, 50874, 50724, 50348, 50874, 50719, 50336, 50874, 52515, 50822, 52351 ]
[ 0, 250, 182, 1769, 12, 20764, 15855, 8, 5175, 24904, 6, 42, 765, 2214, 7630, 6568, 10, 12298, 6, 28339, 4780, 4, 20, 6755, 12547, 6, 15679, 642, 1543, 6, 13305, 6, 6168, 3540, 6, 8, 7213, 19258, 6648, 337, 35810, 561, 10, 5797, 990, 1506, 9, 32076, 34879, 11, 272, 538, 6, 19, 10, 2842, 9, 25306, 2821, 16235, 4, 20, 204, 73, 306, 86, 6543, 4719, 5, 2125, 16335, 25, 24, 25780, 149, 5, 272, 119, 1176, 406, 6, 272, 401, 6, 15312, 757, 6, 8, 1918, 40286, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50642, 51098, 50936, 51866, 55531, 63267, 72325, 51926, 50385, 60084, 62588, 72325, 51926, 50385, 60084, 62941, 51182, 50821, 51926, 52180, 50614, 62256, 52819, 54459, 51357, 51167, 51182, 50821, 51926, 50821, 52065, 50896, 51150, 50936, 50443, 65182, 51357, 79485, 50385, 60084, 54989, 63803, 51284, 50821, 52487, 50821, 51947, 50821, 53084, 50821, 51866, 50821, 52384, 54332, 63500, 52819, 54411, 51883, 50896, 72325, 51926, 50880, 51113, 50896, 51113, 50896, 51098, 51167, 50453, 70054, 51733, 64985, 51299, 52180, 50614, 54647, 63803, 71315, 51304, 50880, 52148, 50821, 51866, 50821, 51947, 50880, 52384, 54332, 63604, 51299, 50896, 51093, 51160, 52819, 50880, 63535, 50880, 51384, 50880, 51299, 50896, 51093, 51167, 51389, 50936, 50419, 51113, 50821, 51154, 68896, 50821, 51251, 52180, 50614, 54658, 51266, 50821, 51733, 50821, 51702, 50880, 52148, 50821, 52194, 50821, 52058, 54332, 68057, 52819, 53939, 51098, 51160, 50427, 75114, 51384, 50880, 51357, 51192, 52065, 51055, 50430, 51093, 50883, 51304, 60759, 51357, 50880, 66441, 65182, 51251, 50385, 60084, 54053, 51866, 50821, 53084, 50821, 52058, 50880, 51702, 54332, 67631, 68074, 51284, 62256, 52819, 54459, 52065, 50896, 51357, 50883, 51088, 51167, 51182, 51685, 51150, 50921, 50439, 51357, 58692, 69952, 51285, 75899, 50440, 52065, 51055, 50443, 51357, 50821, 65182, 51299, 50880, 51301, 50385, 60084, 54989, 51866, 50821, 53084, 50921, 51947, 54332, 70378, 52384, 63154, 52819, 54411, 51098, 51160, 50451, 51883, 50896, 51113, 51167, 50877, 50980, 50455, 51113, 79485, 52180, 50614, 54647, 51301, 50821, 65182, 52148, 50921, 51866, 50821, 51947, 50880, 52384, 54332, 63604, 51299, 50896, 51093, 51160, 52819, 50880, 57739, 51389, 50959, 50899, 51314, 50877, 52378, 72420, 50415, 51093, 51328, 51299, 51380, 50419, 51113, 55095, 50614, 62910, 51154, 50904, 51093, 50822, 51251, 50867, 51088, 50930, 51182, 50930, 51702, 50874, 52148, 50822, 52194, 50844, 52058, 55619, 57079, 68074, 51284, 62588, 52065, 52011, 51357, 60789, 50614, 56323, 51357, 50811, 51558, 50811, 51357, 50971, 52065, 52188, 51098, 51484, 50871, 51380, 50973, 52056, 50861, 51380, 50429, 71315, 51304, 62941, 51357, 50851, 51154, 50827, 51088, 50867, 51251, 50375, 60084, 60838, 51107, 50890, 51384, 50890, 51866, 50844, 53084, 50827, 52058, 50857, 51702, 53887, 59037, 70054, 51733, 62256, 52819, 55666, 52065, 51806, 51357, 51806, 51182, 50890, 51926, 50890, 52065, 51380, 51357, 51709, 51150, 50959, 50443, 51284, 50858, 52487, 53745, 50614, 56069, 51088, 50886, 51299, 50886, 51301, 50941, 51866, 50854, 51947, 50867, 53084, 50851, 52384, 54597, 50984, 50449, 51883, 51108, 51113, 51484, 52819, 55256, 51182, 50962, 51926, 50962, 51098, 51043, 50453, 51266, 51010, 51733, 51010, 50455, 69651, 51107, 50811, 51384, 50926, 50614, 55835, 52148, 50874, 51947, 50835, 51866, 50862, 52384, 54528, 50984, 50458, 51093, 50894, 51304, 73361, 51107, 50882, 51384, 50882, 51299, 51097, 51093, 51097, 52819, 51000, 56950, 50955, 50419, 51107, 50962, 51384, 50387, 60084, 62910, 51251, 50867, 51154, 50886, 51702, 50867, 52148, 50867, 52194, 50844, 52058, 55619, 57079, 51266, 50894, 51733, 50894, 50424, 50629, 50425, 51107, 50962, 51384, 50387, 60084, 56323, 50629, 51357, 51884, 52065, 52188, 51098, 51233, 50427, 50629, 50429, 50628, 51093, 50962, 51304, 72149, 51154, 50886, 51088, 69351, 50904, 51251, 50867, 53084, 52984, 50614, 60838, 51113, 50859, 51284, 50859, 51866, 50813, 52058, 50857, 51702, 53352, 59037, 70122, 64359, 50698, 50337, 59701, 50698, 50339, 50370, 60084, 55666, 51299, 51252, 51093, 51175, 51304, 51356, 51150, 50978, 50439, 50698, 50340, 62859, 51299, 50867, 51301, 50904, 51088, 50867, 51093, 52346, 50614, 56069, 50628, 51699, 50874, 51088, 50863, 51866, 50822, 52384, 50857, 52194, 50810, 76754, 60924, 77184, 55106, 50984, 50449, 52819, 55256, 51113, 50974, 51883, 51058, 51098, 51212, 50698, 50330, 63100, 50910, 51027, 50897, 50455, 51299, 50867, 51093, 50822, 51088, 50864, 76754, 51904, 50614, 55835, 51301, 50904, 51699, 50886, 51866, 50857, 52384, 50857, 52194, 62614, 50841, 51026, 50825, 51027, 54839, 71490, 50698, 50334, 50373, 60084, 51000, 66140, 50972, 51638, 51058, 51930, 51484, 50997, 50940, 50906, 50879, 50415, 70122, 66356, 51182, 50894, 51926, 68701, 62910, 51088, 50886, 51968, 50864, 51866, 50844, 52178, 50844, 70122, 51954, 50299, 53352, 50984, 50421, 50861, 61953, 71548, 51926, 50881, 50614, 56323, 51389, 50892, 70122, 50813, 51086, 51014, 50427, 50973, 50924, 50431, 51182, 50894, 51926, 68701, 60838, 52065, 50827, 51098, 50866, 52058, 50886, 51702, 50867, 53084, 50907, 51026, 61077, 54078, 68863, 52819, 55666, 51357, 51534, 51182, 50950, 51926, 50950, 52065, 51333, 51150, 50942, 50443, 51357, 53701, 50614, 56069, 73493, 51284, 50821, 52487, 50821, 51866, 50810, 53084, 50827, 51947, 50886, 52384, 54742, 50984, 50449, 52819, 55256, 51926, 50880, 72325, 51883, 51108, 51098, 77836, 51113, 51423, 50453, 51266, 50890, 51733, 68065, 51093, 50930, 51304, 50930, 51113, 52346, 50614, 55835, 51299, 50822, 51301, 50874, 51088, 50822, 52148, 50822, 51947, 50886, 51866, 50867, 52384, 55651, 71490, 52819, 51000, 63535, 50962, 51384, 50962, 51093, 51423, 51299, 50932, 51389, 50959, 50419, 51093, 50822, 74321, 51113, 50874, 51251, 50857, 51702, 50827, 52148, 55095, 50614, 62910, 51266, 50962, 51733, 50962, 52058, 50886, 52194, 54965, 50984, 50425, 52819, 56323, 75114, 51384, 50880, 52065, 51806, 51357, 51797, 51098, 51363, 50429, 71315, 51304, 62941, 51357, 50864, 51088, 50857, 72039, 51113, 50882, 51284, 52965, 50614, 60838, 53084, 50827, 51866, 50813, 52058, 50867, 51702, 53352, 68863, 51088, 51354, 51182, 52311, 52819, 55666, 52065, 51381, 51357, 51753, 51150, 50978, 50439, 50973, 71562, 51749, 50916, 52263, 50440, 70122, 64101, 51299, 50886, 51357, 50941, 51301, 50864, 51088, 50374, 60084, 56069, 53084, 50851, 51947, 50886, 51866, 50854, 52384, 54742, 50984, 50446, 50698, 50339, 58914, 52819, 55256, 51098, 51233, 50698, 50337, 70570, 51883, 51380, 51113, 51328, 50877, 51411, 50453, 50698, 50339, 63340, 51113, 50874, 51299, 50867, 51301, 50904, 51088, 50864, 51866, 50822, 52148, 52346, 50614, 55835, 51947, 50864, 52384, 50864, 50698, 50340, 54597, 71490, 52819, 51000, 68051, 51330, 51093, 51277, 51299, 51380, 51389, 50959, 50698, 50333, 50904, 76751, 51534, 50899, 51627, 50871, 51412, 50419, 51113, 50864, 72756, 51251, 50867, 51154, 50371, 60084, 62910, 51088, 50890, 51182, 50890, 51702, 50827, 52148, 50827, 52058, 50886, 52194, 50827, 50698, 50337, 55106, 57079, 51113, 50890, 51284, 70576, 51357, 50941, 51357, 50811, 51558, 50926, 50614, 56323, 52065, 51484, 51098, 51412, 70122, 62154, 51253, 50973, 51199, 50861, 51312, 50429, 71315, 51304, 50880, 50698, 50337, 64408, 51357, 74308, 51154, 50827, 51088, 50822, 51251, 50867, 50698, 50339, 50373, 53315, 60838, 51107, 50887, 79647, 53084, 50851, 51866, 50810, 52058, 50857, 51702, 54742, 50984, 50434, 51266, 50962, 51733, 79737, 72325, 51926, 50385, 60084, 55666, 51357, 51753, 52065, 50932, 51150, 50959, 50443, 51088, 50886, 51299, 50867, 51301, 50971, 51357, 50374, 60084, 56069, 51284, 50930, 52487, 50930, 51947, 50886, 51866, 50854, 53084, 50827, 52384, 53352, 50984, 50449, 51883, 51097 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 11, 83, 538, 6, 4246, 5, 20902, 4428, 9, 10170, 1499, 6, 2342, 4467, 6, 3459, 9590, 6, 8, 21072, 4, 590, 10, 132, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 42, 765, 2125, 3905, 10, 33215, 16739, 9, 381, 6, 211, 6, 381, 6, 8, 83, 6, 2351, 10, 33558, 8, 1313, 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 ]	[ 51057, 50625, 50429, 55883, 78881, 53539, 63163, 57146, 50844, 51057, 54343, 50878, 50927, 65764, 55267, 64717, 50385, 53290, 51010, 50415, 71020, 51013, 50417, 55883, 50827, 52029, 50792, 50611, 63222, 51873, 50839, 51666, 50828, 52939, 54031, 52635, 55249, 50802, 51925, 57852, 55883, 50864, 50927, 50820, 51873, 50820, 51666, 50818, 52939, 66961, 53618, 52524, 54343, 50844, 59970, 50849, 51213, 50977, 51845, 50381, 54118, 55146, 51739, 60579, 55883, 62129, 51464, 62225, 57843, 53513, 56666, 50889, 59287, 51666, 50836, 52939, 50890, 51873, 59402, 51520, 56253, 50434, 61105, 56784, 52939, 50884, 51873, 50820, 51666, 57840, 50839, 51057, 51011, 51060, 52834, 59499, 51421, 55804, 54343, 50381, 52486, 54518, 60861, 52979, 51977, 51994, 50855, 52393, 54878, 53424, 50820, 51908, 52716, 50802, 51925, 52801, 53424, 50834, 51011, 50841, 52393, 50884, 51994, 50841, 51908, 70471, 52992, 61105, 50828, 64723, 50839, 51019, 55998, 51739, 72585, 62230, 63043, 61105, 52223, 67255, 60426, 52393, 53810, 61105, 50884, 64723, 50818, 56414, 51994, 50855, 51908, 52259, 51858, 50802, 51925, 68624, 61105, 50841, 64723, 54288, 51994, 50841, 52393, 50884, 51908, 66961, 50841, 51057, 50953, 50901, 52834, 74353, 52675, 55804, 58013, 50839, 57843, 51406, 62057, 59346, 58013, 50855, 57843, 53299, 52330, 50887, 51666, 52716, 50802, 51925, 66685, 58013, 50839, 57843, 55946, 50953, 50835, 52330, 50895, 51666, 54749, 70966, 57074, 53326, 54851, 51011, 50925, 56464, 50881, 50598, 50385, 52486, 56499, 61105, 50839, 64723, 51187, 75869, 60426, 61105, 50836, 64723, 50855, 54469, 69657, 65609, 52393, 50890, 51908, 50384, 52752, 54451, 51858, 59898, 61105, 50820, 64723, 53908, 52393, 50884, 51908, 56028, 57320, 54343, 50835, 54535, 51295, 74248, 51177, 51845, 71728, 52633, 58481, 54343, 50835, 51873, 51750, 62057, 59346, 50674, 50334, 50895, 50674, 50337, 55180, 52939, 50880, 51873, 50813, 51666, 50957, 50612, 55121, 63541, 50674, 50334, 50839, 50674, 50337, 54104, 50927, 50835, 51666, 50846, 52939, 50817, 51873, 54880, 50381, 52486, 60341, 54343, 52712, 51213, 56835, 54262, 50598, 50386, 52486, 54739, 60066, 54343, 50867, 51532, 52476, 50611, 56657, 58013, 50809, 57843, 53695, 51011, 50849, 51873, 50836, 51666, 50887, 52939, 55146, 51858, 50823, 51925, 56861, 58013, 50841, 57843, 56788, 51873, 50829, 51666, 50818, 52939, 67543, 54131, 57880, 52979, 50901, 51057, 54343, 50835, 50927, 57975, 51135, 50388, 53830, 67037, 54343, 50829, 50927, 57840, 51467, 63315, 52635, 57437, 50674, 50334, 50961, 50674, 50337, 50884, 51873, 50855, 51666, 50840, 52939, 59057, 50802, 51925, 76237, 50674, 50334, 50818, 50674, 50337, 50828, 50927, 54446, 51873, 50829, 51666, 50828, 52939, 67543, 53852, 61521, 54535, 77995, 58192, 54343, 51437, 51520, 64717, 50384, 52438, 58967, 58013, 50863, 57843, 52348, 52757, 50611, 60426, 58013, 50887, 57843, 50809, 52979, 54259, 51069, 51060, 51666, 50809, 51873, 50855, 52939, 55146, 51858, 50802, 51925, 57485, 57843, 50841, 58013, 55782, 51666, 50828, 52939, 50817, 51873, 55406, 58414, 54469, 51241, 51057, 54343, 51539, 59499, 50384, 53290, 59630, 61105, 50870, 51069, 51406, 77265, 61923, 52393, 50880, 51908, 55180, 61105, 50883, 64723, 56034, 50802, 51925, 74581, 61105, 54579, 64723, 50839, 51069, 50820, 52393, 50820, 51908, 57840, 54200, 53049, 54343, 50835, 51019, 50977, 56464, 66218, 68335, 58967, 54343, 51464, 62057, 59185, 61105, 50961, 54343, 54334, 51011, 50937, 52393, 50890, 51908, 53690, 51858, 50802, 51925, 57485, 54343, 50828, 61105, 55486, 52393, 50884, 51908, 70471, 56305, 53424, 50849, 51057, 50953, 51101, 51845, 51239, 76653, 59630, 53539, 50841, 58013, 62775, 51467, 76157, 58013, 50841, 53539, 50813, 53539, 50795, 52330, 55777, 51666, 52716, 50802, 51925, 76237, 53539, 50846, 58013, 56828, 50953, 50846, 52330, 50895, 51666, 62775, 53852, 62370, 54642, 55035, 50927, 54042, 66218, 54739, 53277, 50598, 58967, 53539, 50820, 58013, 51187, 70966, 60426, 53539, 50809, 58013, 50930, 53424, 50901, 52330, 50930, 51666, 54334, 50953, 55732, 53547, 50802, 51925, 55632, 53539, 50839, 58013, 50880, 52330, 50961, 51666, 62775, 56305, 52635, 51080, 51057, 54343, 50837, 50927, 77624, 51421, 59499, 61131, 55883, 55926, 54343, 50820, 50927, 51187, 53376, 50611, 63180, 55883, 50840, 54343, 52628, 51873, 50820, 51666, 50809, 52939, 78932, 56189, 60449, 54343, 50828, 55883, 56076, 50927, 50820, 51873, 50835, 51666, 50846, 52939, 67543, 53618, 63790, 53424, 50841, 53539, 52639, 51213, 50892, 53867, 54451, 51052, 54262, 50611, 50890, 50428, 53424, 50862, 53539, 50813, 51532, 62057, 56657, 52635, 50820, 55883, 50846, 51666, 50840, 51873, 50855, 52939, 52359, 51011, 51654, 51858, 50802, 51925, 62268, 52635, 50825, 55883, 54606, 51873, 50834, 51666, 50841, 52939, 66112, 57320, 52635, 50891, 54343, 51447, 52979, 51922, 51057, 69694, 52834, 60549, 51044, 50882, 50416, 52635, 50829, 55883, 69075, 53376, 50611, 59346, 52635, 50835, 55883, 50828, 51666, 50840, 52939, 57188, 51873, 54539, 72078, 74581, 52635, 54316, 50927, 50835, 51873, 50834, 51666, 50828, 52939, 67226, 53618, 52654, 58013, 50818, 57843, 50841, 51069, 54035, 51739, 50881, 50598, 50385, 52486, 54013, 58013, 50834, 57843, 50835, 51873, 52771, 63874, 56657, 58013, 50828, 57843, 52810, 66482, 51873, 50836, 51666, 50809, 52939, 68653, 53393, 56253, 50434, 58013, 53908, 52939, 50817, 51873, 50829, 51666, 57840, 57405, 53424, 51244, 51057, 54343, 50834, 61105, 50891, 74381, 52834, 72719, 52304, 54024, 54343, 50884, 61105, 53850, 66218, 63094, 54343, 50841, 61105, 50837, 51994, 50820, 52393, 50840, 51908, 52628, 51925, 54250, 63541, 53424, 54579, 51069, 50820, 52393, 50818, 51908, 62775, 53618, 52654, 53424, 50839, 51019, 50937, 53867, 50384, 52486, 51864, 53056, 58236, 53424, 51187, 53376, 50611, 52925, 61105, 50884, 64723, 50828, 64604, 52393, 50887, 51994, 50855, 51908, 50385, 52752, 53662, 51858, 59898, 61105, 50846, 64723, 54665, 51994, 50820, 52393, 50818, 51908, 67543, 56305, 53539, 50835, 52635, 50943, 51057, 75649, 52834, 60549, 52304, 78008, 58013, 55927, 53539, 57840, 51187, 66356, 53539, 50818, 58013, 50846, 57843, 53203, 52330, 50930, 51666, 50384, 52752, 54984, 60449, 53539, 50818, 58013, 50846, 57843, 50834, 52330, 62775, 54446, 50953, 50818, 51666, 52816, 66031, 53424, 50914, 53867, 50385, 52486, 53150, 54343, 50825, 51011, 50897, 56464, 53300, 53424, 50825, 54343, 57975, 51467, 67318, 53424, 50820, 54343, 50890, 61105, 50887, 52330, 50880, 51666, 54937, 68584, 51925, 54168, 51858, 59898, 54343, 50884, 61105, 56028, 54606, 53424, 50835, 52330, 50846, 51666, 56359, 52979, 51183, 74248, 51111, 52834, 60549, 51239, 59176, 57843, 50891, 51873, 59667, 51467, 60400, 51666, 50887, 52939, 57188, 50674, 50339, 50882, 51873, 73533, 51858, 60449, 51873, 50829, 51666, 50828, 52939, 67543, 54446, 50674, 50338, 78659, 52816, 60567, 50674, 50337, 53881, 51069, 50942, 53867, 50384, 52486, 51135, 51520, 58236, 51873, 51833, 62057, 52925, 71376, 51873, 50813, 51666, 50840, 52939, 55146, 53547, 50802, 51925, 54496, 51666, 50846, 52939, 66112, 58855, 54343, 51148, 55883, 51148, 51057, 50674, 50334, 67199, 62806, 50387, 53830, 79468, 58486, 77344, 51559, 77265, 52761, 50674, 50336, 50844, 51666, 50812, 52939, 50890 ]
[ 0, 250, 2635, 12, 20764, 3495, 1619, 2214, 11, 12608, 538, 6, 4246, 10, 13305, 6, 21072, 6, 24896, 6, 8, 21979, 9590, 4, 20, 33301, 7630, 6568, 10, 1372, 8, 2365, 6711, 6, 10686, 13, 304, 11, 3541, 4, 20, 1049, 33215, 16739, 9, 230, 119, 401, 6, 163, 428, 6, 8, 12608, 17992, 7, 5, 1349, 18, 15352, 30054, 2868, 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 ]	[ 57448, 52552, 50625, 50876, 51337, 50423, 51028, 50867, 58439, 52104, 50300, 76452, 51312, 51522, 51411, 50801, 51484, 50832, 50933, 58097, 62558, 51051, 53523, 53130, 50316, 51337, 50832, 51051, 51587, 51645, 64551, 61176, 71666, 50906, 52691, 51503, 52216, 50300, 71387, 51312, 51522, 51411, 50801, 51172, 50832, 57940, 50956, 62558, 51051, 55895, 53130, 50316, 51253, 50832, 51051, 51587, 51645, 50456, 50956, 62558, 51051, 58526, 51312, 51028, 51312, 51522, 51411, 50801, 51484, 50832, 50933, 55961, 73705, 59386, 51040, 71508, 51337, 50832, 51051, 51587, 51645, 58783, 73705, 71666, 50951, 52691, 51176, 51312, 51147, 51312, 51522, 51411, 50801, 51172, 50832, 50933, 57428, 73705, 60333, 51040, 67307, 51337, 50832, 51051, 51587, 51645, 50456, 50871, 73705, 72647, 50906, 50867, 58526, 51312, 50876, 51312, 51522, 51411, 50801, 51484, 50832, 50933, 58097, 73705, 51051, 53523, 61902, 51253, 50832, 51051, 51587, 51645, 64551, 73705, 58946, 50931, 52415, 50300, 51312, 51522, 51411, 50801, 51172, 50832, 57940, 50956, 51962, 50319, 73705, 51051, 55895, 61902, 73705, 51051, 51587, 51645, 50456, 50956, 51962, 50319, 73705, 51051, 55881, 52415, 50314, 51312, 51560, 51411, 50801, 51484, 50832, 61378, 51040, 73705, 51051, 56759, 73705, 51051, 51587, 51645, 50432, 51040, 73705, 58946, 51197, 51253, 51560, 51411, 50801, 51172, 50832, 57940, 50832, 60333, 50965, 51309, 51147, 51043, 50832, 50372, 52073, 51242, 52145, 55735, 50832, 59934, 50906, 76819, 54355, 53742, 50904, 58526, 55512, 51542, 51062, 51351, 51522, 51411, 50801, 51484, 50832, 50933, 58097, 62558, 51051, 53523, 62558, 51051, 51587, 51645, 59409, 52169, 50328, 52415, 50307, 61176, 58946, 51028, 52363, 50329, 51665, 50295, 50838, 51560, 51411, 50801, 51172, 50832, 57940, 51040, 53130, 50314, 52169, 50326, 69825, 60333, 50997, 53130, 50311, 75766, 57717, 51051, 51587, 51645, 50456, 51040, 53130, 50316, 52169, 50328, 69825, 51051, 58526, 59316, 51380, 51147, 51267, 51522, 51411, 50801, 51484, 50832, 50933, 58097, 62558, 51051, 53523, 53130, 50316, 51199, 51062, 51109, 50832, 51051, 51587, 51645, 64551, 61176, 58946, 51176, 60778, 51380, 51405, 51109, 51522, 51411, 50801, 51172, 50832, 57940, 50956, 62558, 51051, 55895, 53130, 50324, 51199, 52128, 51109, 50832, 51051, 51587, 51645, 50456, 50956, 62558, 51051, 56807, 52363, 50335, 52434, 50293, 50838, 52318, 51411, 50801, 51484, 50832, 61378, 51040, 53130, 50321, 52169, 50333, 69825, 51051, 56759, 53130, 50319, 52169, 50331, 57717, 51051, 51587, 51645, 50432, 51028, 52169, 50329, 52415, 50305, 61176, 58946, 50876, 52363, 50328, 51665, 50295, 50838, 51560, 51411, 50801, 51172, 50832, 57940, 51040, 53130, 50314, 52169, 50326, 69825, 60333, 50997, 53130, 50317, 52169, 50329, 57717, 51051, 51587, 51645, 50456, 51040, 53130, 50311, 75766, 69825, 51174, 51034, 51028, 51627, 51081, 51448, 50801, 50933, 51206, 61784, 51197, 53535, 50307, 51006, 51560, 65220, 51210, 54928, 51587, 59386, 51050, 53535, 50309, 51058, 51140, 65220, 51210, 50791, 51174, 51587, 56626, 51026, 53535, 50311, 51006, 51098, 65220, 51210, 50852, 51174, 51587, 58946, 51176, 51775, 50965, 51025, 50876, 51576, 51147, 51480, 51522, 51411, 50801, 51534, 50791, 51363, 51587, 51363, 52552, 50625, 53250, 51412, 51190, 50396, 50423, 54414, 57516, 50867, 50799, 57147, 51391, 51503, 51380, 51176, 51267, 51522, 51411, 50801, 59536, 50955, 58097, 73793, 67220, 50978, 52653, 51587, 50959, 56040, 73793, 67220, 50987, 52653, 51587, 60675, 57147, 71678, 73793, 67220, 50987, 52653, 51587, 58450, 54414, 51411, 52046, 51199, 51197, 51109, 51560, 51411, 50801, 56879, 50955, 61614, 64716, 64066, 67011, 50959, 51587, 58248, 53250, 51480, 51503, 51199, 51176, 51109, 51522, 51480, 50801, 60076, 50456, 50956, 73793, 67220, 67011, 50959, 51587, 50959, 50799, 56853, 51391, 52759, 51199, 51360, 51109, 52318, 51411, 50801, 59536, 50955, 55961, 73793, 52169, 50317, 50987, 52653, 51587, 50959, 53645, 73793, 52169, 50317, 50987, 52653, 51587, 60675, 53863, 65482, 73793, 52169, 50317, 50978, 52653, 51587, 58450, 53407, 51411, 52759, 51709, 51360, 51109, 52318, 51411, 50801, 59536, 50955, 57428, 73793, 52169, 50317, 50978, 52653, 51587, 50959, 56415, 73793, 52169, 50317, 50987, 52653, 51587, 61898, 53407, 65482, 73793, 52169, 50317, 50987, 52653, 51587, 50959, 50799, 53777, 51391, 51503, 51380, 51176, 51267, 51522, 51411, 50801, 59536, 50955, 58097, 73793, 67220, 50987, 52653, 51587, 50959, 56040, 73793, 67220, 50987, 52653, 51587, 60675, 53250, 71678, 73793, 67220, 50987, 52653, 51587, 58450, 53250, 51411, 51247, 51199, 51050, 51109, 51140, 51411, 50801, 59536, 50955, 55989, 73793, 50987, 52653, 51587, 58248, 57147, 51480, 50899, 73793, 50987, 52653, 51587, 61898, 50899, 73793, 50987, 52653, 51587, 50959, 50799, 54414, 51448, 52046, 51199, 51197, 51109, 51560, 51411, 50801, 59536, 50955, 58097, 64716, 64066, 50987, 52653, 51587, 50959, 56040, 64716, 64066, 50987, 52653, 51587, 60675, 50956, 64716, 64066, 50978, 52653, 51587, 58450, 52046, 51199, 51197, 51312, 50956, 68120, 70338, 51560, 51411, 50801, 51008, 51206, 51363, 51587, 58991, 52060, 56317, 52060, 54185, 53250, 51412, 51190, 50396, 51553, 58345, 51224, 54481, 51456, 57490, 54414, 50374, 53221, 56707, 50867, 50799, 57147, 51391, 51176, 51312, 51522, 51411, 50801, 59536, 50955, 58097, 53535, 50312, 78184, 51006, 50903, 60076, 56040, 53535, 50312, 78184, 51006, 50903, 60076, 50432, 57147, 71678, 72457, 64900, 59355, 60076, 50438, 50625, 54414, 51411, 52046, 51199, 51197, 51109, 51560, 51411, 50801, 56879, 77376, 50625, 61614, 53535, 50311, 53535, 50314, 51006, 50903, 66773, 63251, 50625, 50450, 53250, 51480, 51503, 51199, 51176, 51109, 51522, 51480, 50903, 60076, 50451, 50625, 50455, 50625, 50456, 50956, 53535, 50312, 78184, 51006, 50903, 66773, 67419, 50625, 57448, 56853, 51391, 52759, 51199, 51360, 51109, 52318, 51411, 50801, 59536, 50955, 55961, 53535, 50312, 53535, 50317, 51006, 50903, 60076, 53645, 53535, 50312, 53535, 50317, 51006, 50903, 60076, 50432, 53863, 65482, 72457, 75867, 50972, 50903, 60076, 50438, 53407, 51391, 52759, 51709, 51360, 51109, 52318, 51411, 50801, 59536, 50955, 57428, 53535, 50312, 53535, 50317, 51174, 50903, 60076, 56415, 53535, 50312, 53535, 50317, 51006, 50903, 60076, 50456, 53777, 65482, 53535, 50312, 53535, 50317, 51006, 50903, 60076, 50799, 53777, 51391, 51503, 51380, 51176, 51267, 51522, 51411, 50801, 59536, 50955, 58097, 53535, 50312, 78184, 51006, 50903, 60076, 56040, 53535, 50312, 78184, 51006, 50903, 60076, 50432, 53250, 71678, 72457, 64900, 59355, 60076, 50438, 53250, 51411, 52046, 51199, 51197, 51109, 51560, 51411, 50801, 59536, 50955, 61614, 53535, 50311, 53535, 50314, 51006, 50903, 60076, 50450, 54414, 51480, 50956, 53535, 50311, 53535, 50314, 51006, 50903, 60076, 50456, 50956, 53535, 50311, 53535, 50314, 51006, 50903, 60076, 50799, 57147, 51448, 51503, 51380, 51176, 51267, 51522, 51411, 50801, 59536, 50955, 58097, 53535, 50312, 78184, 51006, 50903, 60076, 56040, 53535, 50312, 78184, 51006, 50903, 60076, 64551, 53535, 50312, 78184, 51174, 50903, 60076, 50438, 51503, 51199, 51176, 51109, 50956, 51380, 50965, 51380, 67384, 51522, 51411, 50801, 51534, 50903, 51203, 51206, 74047, 53777, 79543, 51412, 51335, 51412, 50799 ]
[ 0, 713, 765, 5175, 2214, 11, 230, 538, 1575, 10, 17465, 102, 6, 2382, 3459, 8669, 6, 1481, 1113, 6, 8, 21072, 6, 2351, 10, 11739, 9, 15352, 30054, 8, 1372, 23338, 293, 19, 17878, 9, 2365, 8, 20425, 223, 34693, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 26658, 23, 10, 2635, 38467, 20889, 9, 843, 13410, 228, 2289, 6, 19, 10, 33215, 13931, 9, 230, 119, 406, 6, 274, 73, 534, 6, 230, 6, 272, 119, 406, 6, 8, 274, 8165, 683, 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 ]	[ 50799, 50619, 54458, 51528, 54726, 50841, 62747, 52056, 55129, 51312, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 71970, 51450, 53846, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129, 50844, 51382, 53846, 50841, 52047, 51074, 53942, 50892, 54710, 52881, 65091, 50841, 51616, 51074, 53994, 50892, 55975, 50841, 51528, 54726, 50841, 62747, 52056, 55129, 51312, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 71970, 51450, 53846, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129, 50844, 51382, 53846, 50841, 52047, 51074, 53942, 50892, 54710, 52881, 65091, 50841, 51616, 51074, 53994, 50892, 55975, 50841, 51528, 54726, 50841, 62747, 52056, 55129, 51312, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 71970, 51450, 53846, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129, 50844, 51382, 53846, 50841, 52047, 51074, 53942, 50892, 54710, 52881, 65091, 50841, 51616, 51074, 53994, 50892, 55975, 50841, 51528, 54726, 50841, 51282, 52056, 55129, 51312, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 51401, 51074, 53942, 50892, 53764, 52667, 71970, 51616, 51074, 55129, 60234, 71970, 51450, 53846, 50841, 51616, 50907, 53994, 50892, 54268, 50841, 51815, 50907, 54141, 61435, 53846, 54726, 50841, 51401, 50907, 53942, 55876, 51289, 53846, 50841, 51282, 50907, 55129, 50844, 51382, 53846, 65118, 50841, 51557, 51074, 53942, 65371, 51326, 53846, 52881, 52855, 51985, 54726, 70171, 51074, 53994, 60977, 51289, 53846, 50841, 50799, 72012, 52195, 52855, 51367, 50841, 62747, 52056, 55129, 51312, 57778, 52071, 61716, 52071, 58072, 52071, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 50843, 53116, 76305, 51566, 63014, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129, 54004, 72012, 78275, 53846, 50841, 52047, 51074, 53942, 50892, 54710, 52881, 65091, 50841, 51616, 51074, 53994, 50892, 55975, 50841, 50799, 50762, 50324, 52266, 65091, 50841, 62747, 52056, 55129, 51312, 55520, 52071, 61716, 52071, 75229, 52071, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 71970, 51450, 53846, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129, 50844, 51382, 53846, 50841, 52047, 51074, 53942, 50892, 54710, 52881, 72012, 53235, 54726, 50841, 51616, 51074, 53994, 60977, 50762, 50324, 54429, 50841, 50799, 50762, 50326, 52195, 65091, 50841, 62747, 52056, 55129, 51312, 55749, 52071, 56846, 52071, 71751, 52071, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 50843, 53116, 50762, 50325, 51566, 63014, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129, 54004, 50762, 50326, 78275, 53846, 50841, 52047, 51074, 53942, 50892, 54710, 52881, 65091, 50841, 51616, 51074, 53994, 50892, 55975, 50841, 50799, 76055, 53241, 65091, 50841, 62747, 52056, 55129, 51312, 56846, 52071, 62986, 52071, 74011, 52071, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 71970, 51450, 53846, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129, 50844, 51382, 53846, 50841, 52047, 51074, 53942, 50892, 54710, 52881, 65091, 50841, 51616, 51074, 53994, 50892, 55975, 50841, 50799, 50762, 50325, 53235, 54726, 50841, 62747, 51074, 55129, 50892, 62986, 59991, 50762, 50326, 54429, 50841, 71751, 54351, 76055, 52965, 50574, 53846, 50841, 74011, 55266, 50762, 50325, 54429, 50841, 62986, 53450, 50762, 50326, 54092, 54726, 50841, 71751, 57250, 50762, 50325, 54429, 50841, 62986, 53513, 72012, 52965, 50574, 53846, 50841, 58072, 55167, 71466, 52965, 50574, 53846, 50841, 56846, 53614, 50762, 50320, 53235, 53846, 50841, 52047, 52056, 53942, 51312, 57089, 58709, 71466, 52965, 50574, 53846, 50841, 56846, 53783, 72012, 54092, 71958, 53846, 54726, 50841, 58072, 55876, 50762, 50320, 52965, 50574, 53846, 50841, 57089, 54004, 71466, 54092, 61435, 53846, 50841, 51616, 52056, 53994, 51312, 56846, 58305, 50762, 50320, 52965, 50574, 53846, 50841, 57089, 54194, 66541, 53235, 71958, 54726, 50841, 55749, 56569, 66965, 66992, 53846, 50841, 79457, 50799, 66934, 52195, 65091, 50841, 62747, 52056, 55129, 51312, 55184, 52071, 55936, 52071, 56979, 52071, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 50843, 53116, 50762, 50309, 51566, 63014, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129, 54004, 66934, 78275, 53846, 50841, 52047, 51074, 53942, 50892, 54710, 52881, 65091, 50841, 51616, 51074, 53994, 50892, 55975, 50841, 50799, 71347, 52282, 65091, 50841, 62747, 52056, 55129, 51312, 57294, 52071, 55938, 52071, 57778, 52071, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 71970, 51450, 53846, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 71082, 54092, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71347, 54429, 50841, 62747, 50907, 55129, 54004, 76305, 54092, 53846, 50841, 52047, 51074, 53942, 65371, 66541, 54429, 52881, 66965, 53235, 54726, 50841, 51616, 51074, 53994, 60977, 76305, 54429, 50841, 50799, 66541, 53235, 54726, 50841, 62747, 52056, 55129, 51312, 55448, 52071, 55936, 52071, 57778, 52071, 50417, 66965, 54429, 53223, 71347, 54429, 54477, 71082, 54429, 52870, 71347, 54092, 54726, 50841, 52047, 51074, 53942, 64318, 50762, 50309, 54429, 52667, 71082, 54429, 50841, 62747, 51074, 55129, 60234, 71347, 54429, 53116, 66541, 53235, 53846, 50841, 51616, 51074, 53994, 69151, 71347, 54429, 53041, 66965, 54092, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 66541, 54429, 50841, 62747, 50907, 55129, 54004, 71466, 54092, 53846, 50841, 52047, 51074, 53942, 65371, 72012, 54429, 52881, 50762, 50326, 53235, 54726, 50841, 51616, 51074, 53994, 60977, 72012, 54429, 50841, 50799, 50762, 50325, 53241, 65091, 50841, 62747, 52056, 55129, 51312, 55184, 52071, 55936, 52071, 56979, 52071, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 71970, 51450, 53846, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129 ]
[ 0, 713, 14899, 3495, 2214, 11, 272, 538, 22750, 1626, 11098, 8, 8593, 26358, 149, 63, 15352, 30054, 2301, 4, 25837, 2987, 30, 5, 20902, 4069, 9, 10170, 1499, 6, 228, 438, 4781, 2088, 6757, 6, 3459, 8, 21979, 9590, 6, 8, 21072, 6, 24, 11498, 41, 20425, 12447, 1001, 20889, 1328, 4, 20, 204, 73, 306, 86, 6543, 4719, 5, 12989, 5204, 25, 5, 33215, 16739, 9, 211, 401, 6, 83, 406, 6, 272, 119, 6, 8, 1918, 30853, 6, 1271, 10, 2842, 9, 33558, 27456, 7, 42, 765, 53, 913, 2650, 2365, 12, 6928, 8859, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50816, 71757, 50816, 53504, 50816, 50991, 50419, 50816, 58938, 51326, 52424, 51273, 51730, 54490, 50795, 53342, 50800, 51666, 65665, 51820, 51273, 52227, 50795, 53342, 50800, 51666, 65665, 51757, 51389, 52390, 56408, 51666, 50800, 54237, 50800, 51271, 51754, 51389, 52390, 56408, 51666, 50800, 54237, 50800, 51271, 50800, 55929, 51730, 54490, 50795, 53653, 50800, 51531, 78536, 51835, 51461, 52227, 50795, 53653, 50800, 51531, 78536, 51620, 51150, 52390, 56408, 51531, 50800, 53375, 50800, 51133, 51628, 51150, 52390, 56408, 51531, 50800, 53375, 50800, 51133, 51724, 51273, 51730, 51370, 51036, 53342, 50800, 51666, 65665, 51820, 67488, 51326, 50795, 51873, 50807, 52368, 50807, 51011, 52728, 51553, 51923, 51098, 72968, 50795, 51994, 50807, 51871, 62220, 50807, 50799, 51456, 52115, 51493, 60965, 50795, 52619, 50800, 51908, 62416, 52296, 51140, 50800, 52498, 50800, 51691, 50800, 50945, 51620, 51493, 52390, 50800, 52619, 50800, 51908, 62416, 52765, 51273, 52390, 50800, 53342, 50800, 51666, 65665, 51628, 51461, 52108, 50800, 53653, 50795, 51531, 68152, 53505, 50816, 51724, 51273, 51730, 54490, 50795, 53342, 50800, 51666, 65665, 51820, 51273, 52227, 50795, 53342, 50800, 51666, 65665, 51757, 51389, 52390, 56408, 51666, 50800, 54237, 50800, 51271, 51754, 51389, 52390, 56408, 51666, 50800, 54237, 50800, 51271, 50800, 55929, 51730, 54490, 50795, 53653, 50800, 51531, 78536, 51835, 51461, 52227, 50795, 53653, 50800, 51531, 78536, 51620, 51150, 52390, 56408, 51531, 50800, 53375, 50800, 51133, 51628, 51150, 52390, 56408, 51531, 50800, 53375, 50800, 51133, 51724, 51273, 51730, 51370, 51036, 53342, 50800, 51666, 65665, 51820, 67488, 51326, 50795, 51873, 50807, 52368, 50807, 51011, 52728, 51553, 51923, 51098, 72968, 50795, 51994, 50807, 51871, 62220, 50807, 50799, 51456, 52115, 51493, 60965, 50795, 52619, 50800, 51908, 62416, 52296, 51140, 50800, 52498, 50800, 51691, 50800, 50945, 51620, 51493, 52390, 50800, 52619, 50800, 51908, 62416, 52765, 51273, 52390, 50800, 53342, 50800, 51666, 65665, 51628, 51461, 50795, 52789, 52108, 50800, 53653, 50795, 51531, 68152, 53505, 50816, 51724, 51273, 50800, 52789, 55157, 54490, 50795, 53342, 50800, 51666, 65665, 51820, 51273, 52227, 50795, 53342, 50800, 51666, 65665, 51757, 51389, 52390, 56408, 51666, 50800, 54237, 50800, 51271, 51754, 51389, 50800, 52789, 52108, 56408, 51666, 50800, 54237, 50800, 51271, 50800, 55929, 50800, 52901, 51428, 54490, 50795, 53653, 50800, 51531, 78536, 51835, 51461, 50800, 52901, 56408, 53653, 50800, 51531, 78536, 51620, 51150, 50800, 52901, 52108, 56408, 51531, 50800, 53375, 50800, 51133, 51628, 51150, 50800, 52901, 52108, 56408, 51531, 50800, 53375, 50800, 51133, 51724, 51273, 50800, 54775, 62480, 51036, 53342, 50800, 51666, 65665, 51820, 67488, 54775, 56971, 50795, 51873, 50807, 52368, 50807, 51011, 52728, 54775, 50795, 51553, 51923, 74808, 52789, 50918, 51326, 50795, 51994, 50807, 51871, 62220, 50807, 50799, 51456, 52115, 51493, 60965, 50795, 52619, 50800, 51908, 62416, 52296, 51140, 50800, 52498, 50800, 51691, 50800, 50945, 51620, 51493, 52390, 50800, 52619, 50800, 51908, 62416, 52765, 51273, 52390, 50800, 53342, 50800, 51666, 65665, 51628, 51461, 50795, 52789, 52108, 50800, 53653, 50795, 51531, 68152, 53505, 50816, 51724, 51273, 50800, 52789, 55157, 54490, 50795, 53342, 50800, 51666, 65665, 51820, 51273, 52227, 50795, 53342, 50800, 51666, 65665, 51757, 51389, 52390, 56408, 51666, 50800, 54237, 50800, 51271, 51754, 51389, 50800, 52789, 52108, 56408, 51666, 50800, 54237, 50800, 51271, 50800, 55929, 50800, 52901, 51428, 54490, 50795, 53653, 50800, 51531, 78536, 51835, 51461, 50800, 52901, 56408, 53653, 50800, 51531, 78536, 51620, 51150, 50800, 52901, 52108, 56408, 51531, 50800, 53375, 50800, 51133, 51628, 51150, 50800, 52901, 52108, 56408, 51531, 50800, 53375, 50800, 51133, 51724, 51273, 50800, 54775, 62480, 51036, 53342, 50800, 51666, 65665, 51820, 67488, 54775, 56971, 50795, 51873, 50807, 52368, 50807, 51011, 52728, 54775, 50795, 51553, 51923, 74808, 52789, 50918, 51326, 50795, 51994, 50807, 51871, 62220, 50807, 50799, 51456, 52115, 51493, 60965, 50795, 52619, 50800, 51908, 62416, 52296, 51140, 50800, 52498, 50800, 51691, 50800, 50945, 51620, 51493, 52390, 50800, 52619, 50800, 51908, 62416, 52765, 51273, 52390, 50800, 53342, 50800, 51666, 65665, 51628, 51461, 50795, 52789, 52108, 50800, 53653, 50795, 51531, 68152, 53505, 50816, 51724, 51273, 50800, 52789, 55157, 54490, 50795, 53342, 50800, 51666, 65665, 51820, 51273, 52227, 50795, 53342, 50800, 51666, 65665, 51757, 51389, 52390, 56408, 51666, 50800, 54237, 50800, 51271, 51754, 51389, 50800, 52789, 52108, 56408, 51666, 50800, 54237, 50800, 51271, 50800, 55929, 50800, 52901, 51428, 54490, 50795, 53653, 50800, 51531, 78536, 51835, 51461, 50800, 52901, 56408, 53653, 50800, 51531, 78536, 51620, 51150, 50800, 52901, 52108, 56408, 51531, 50800, 53375, 50800, 51133, 51628, 51150, 50800, 52901, 52108, 56408, 51531, 50800, 53375, 50800, 51133, 51724, 51273, 50800, 54775, 62480, 51036, 53342, 50800, 51666, 65665, 51820, 67488, 54775, 56971, 50795, 51873, 50807, 52368, 50807, 51011, 52728, 54775, 50795, 51553, 51923, 74808, 52789, 50918, 51326, 50795, 51994, 50807, 51871, 62220, 50807, 50799, 51456, 52115, 51493, 60965, 50795, 52619, 50800, 51908, 62416, 52296, 51140, 50800, 52498, 50800, 51691, 50800, 50945, 51620, 51493, 52390, 50800, 52619, 50800, 51908, 62416, 52765, 51273, 52390, 50800, 53342, 50800, 51666, 65665, 51628, 51461, 50795, 52789, 52108, 50800, 53653, 50795, 51531, 68152, 53505, 50816, 51724, 51273, 50800, 52789, 55157, 54490, 50795, 53342, 50800, 51666, 65665, 51820, 51273, 52227, 50795, 53342, 50800, 51666, 65665, 51757, 51389, 52390, 56408, 51666, 50800, 54237, 50800, 51271, 51754, 51389, 50800, 52789, 52108, 56408, 51666, 50800, 54237, 50800, 51271, 50800, 55929, 50800, 52901, 51428, 54490, 50795, 53653, 50800, 51531, 78536, 51835, 51461, 50800, 52901, 56408, 53653, 50800, 51531, 78536, 51620, 51150, 50800, 52901, 52108, 56408, 51531, 50800, 53375, 50800, 51133, 51628, 51150, 50800, 52901, 52108, 56408, 51531, 50800, 53375, 50800, 51133, 51724, 51273, 50800, 54775, 62480, 51036, 53342, 50800, 51666, 65665, 51820, 67488, 54775, 56971, 50795, 51873, 50807, 52368, 50807, 51011, 52728, 54775, 50795, 51553, 51923, 74808, 52789, 50918, 51326, 50795, 51994, 50807, 51871, 62220, 50807, 50799, 51456, 52115, 51493, 60965, 50795, 52619, 50800, 51908, 62416, 52296, 51140, 50800, 52498, 50800, 51691, 50800, 50945, 51620, 51493, 52390, 50800, 52619, 50800, 51908, 62416, 52765, 51273, 52390, 50800, 53342, 50800, 51666, 65665, 51628, 51461, 50795, 52789, 52108, 50800, 53653, 50795, 51531, 68152, 53505, 50816, 51724, 51273, 50807, 54775, 53030, 61488, 53342, 50807, 51666, 50807, 52368, 72137, 52728, 51705, 50795, 54775, 53030, 66258, 53342, 50795, 51666, 50795, 52368, 50795, 51213, 51923, 51216, 56252, 53342, 50795, 51666, 50795, 52368, 78419, 55929, 50807, 53676, 53030, 61488, 53653, 50807, 51531, 50807, 51871, 76760, 52910, 51493, 50795, 52789, 53030, 66258, 53653, 50795, 51531, 50795, 51871, 73732, 51736, 51098, 56252, 53653, 50795, 51531, 50795, 51871, 60277, 51646, 51273, 50807, 54775, 72750, 61488, 53342, 50807, 51666, 50807, 52368 ]
[ 0, 250, 765, 15855, 8, 19834, 2125, 14, 7630, 6568, 10, 1619, 4780, 19, 63, 19448, 8, 15352, 30054, 23225, 4, 38837, 30, 41, 12547, 9, 21979, 9590, 6, 2342, 4467, 6, 30062, 620, 7085, 12280, 642, 6, 6168, 3540, 6, 8, 326, 5638, 18026, 6, 24, 18, 278, 11, 83, 3694, 19, 10, 155, 73, 306, 86, 6543, 8, 10, 20902, 27841, 139, 20889, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50638, 53118, 57944, 52566, 50807, 53000, 50807, 53436, 52424, 53000, 50807, 53436, 50807, 53647, 50807, 51034, 54969, 57944, 53267, 50807, 54254, 50807, 53039, 52424, 54254, 50807, 53039, 50807, 54428, 50807, 51034, 53118, 57944, 52566, 50807, 53000, 50807, 53436, 52424, 53000, 50807, 53436, 50807, 53647, 50807, 51034, 54969, 57944, 53267, 50807, 54254, 50807, 53039, 52424, 54254, 50807, 53039, 50807, 54428, 50807, 51034, 53118, 51161, 51673, 51127, 51793, 51527, 50426, 52566, 50807, 53000, 50807, 53436, 52424, 53000, 50807, 53436, 50807, 53647, 50807, 51686, 50873, 51150, 53218, 51606, 50873, 51034, 54969, 51161, 51596, 51218, 51930, 51527, 50426, 53267, 50807, 54254, 50807, 53039, 53182, 51596, 54233, 54254, 50807, 53039, 50807, 54428, 50807, 51606, 50873, 52078, 53218, 51565, 50873, 51034, 53118, 51161, 51686, 50873, 51793, 51527, 50420, 51827, 53890, 52566, 50807, 53000, 50807, 53436, 50807, 51686, 54259, 51827, 54233, 53000, 50807, 53436, 50807, 53647, 50807, 51686, 50873, 51150, 53218, 51827, 50873, 51034, 54969, 51161, 51686, 52250, 51930, 52369, 50426, 53267, 50807, 54254, 50807, 53039, 52424, 54254, 50807, 53039, 50807, 54428, 50807, 51034, 53118, 51161, 51793, 51527, 50426, 52566, 50807, 53000, 50807, 53436, 52424, 53000, 50807, 53436, 50807, 53647, 50807, 74596, 51034, 54969, 51161, 51930, 51527, 50426, 53267, 50807, 54254, 50807, 53039, 52424, 54254, 50807, 53039, 50807, 54428, 50807, 51565, 50943, 52078, 50807, 51034, 53118, 51161, 51606, 50873, 51793, 51527, 50426, 52566, 50807, 53000, 50807, 53436, 50807, 51606, 54259, 51565, 54233, 53000, 50807, 53436, 50807, 53647, 50807, 51606, 50873, 51150, 53218, 52161, 50873, 51034, 53118, 50807, 52566, 50807, 53000, 50807, 53436, 50807, 51606, 51675, 51793, 62945, 53748, 50807, 54029, 50807, 53260, 50807, 54740, 50807, 51984, 61287, 54969, 50807, 53267, 50807, 54254, 50807, 53039, 50807, 51930, 51054, 51034, 53472, 51161, 52614, 50918, 51389, 51527, 50426, 52890, 50807, 52697, 50807, 54895, 52424, 52697, 50807, 54895, 50807, 53436, 50807, 53839, 50795, 53240, 53218, 52494, 50795, 51034, 53715, 51161, 54577, 50983, 51150, 51527, 50426, 52650, 50807, 52566, 50807, 53260, 53182, 54577, 51646, 52566, 50807, 53260, 50807, 53039, 50807, 52494, 50795, 51984, 53218, 52882, 50795, 51034, 53472, 51161, 53839, 69535, 51527, 50420, 52203, 51631, 52890, 50807, 52697, 50807, 54895, 50807, 53839, 51736, 52203, 51646, 52697, 50807, 54895, 50807, 53436, 50807, 53839, 50795, 53240, 53218, 52203, 50795, 51034, 53715, 51161, 53839, 51492, 51150, 52369, 50426, 52650, 50807, 52566, 50807, 53260, 52424, 52566, 50807, 53260, 50807, 53039, 50807, 51034, 53472, 51161, 51389, 51527, 50426, 52890, 50807, 52697, 50807, 54895, 52424, 52697, 50807, 54895, 50807, 53436, 50807, 53240, 50807, 51034, 53715, 51161, 51150, 51527, 50426, 52650, 50807, 52566, 50807, 53260, 52424, 52566, 50807, 53260, 50807, 53039, 50807, 52882, 50807, 51984, 50807, 51034, 53472, 51161, 52494, 69535, 51527, 50426, 52890, 50807, 52697, 50807, 54895, 50807, 52494, 51736, 52882, 51646, 52697, 50807, 54895, 50807, 53436, 50807, 52494, 50795, 53240, 53218, 52795, 50795, 51034, 53715, 51161, 52494, 50918, 51150, 62945, 52650, 50807, 52566, 50807, 53260, 50807, 52078, 61287, 52566, 50807, 53260, 50807, 53039, 50807, 52795, 50807, 53691, 51054, 51034, 53472, 50807, 52890, 50807, 52697, 50807, 54895, 50807, 52604, 50873, 52494, 50795, 55616, 61304, 51886, 53890, 52251, 50873, 52494, 51736, 51686, 50873, 52882, 51646, 55039, 50807, 52890, 50807, 52697, 50807, 54895, 50807, 52083, 50873, 53839, 50795, 53240, 60969, 51686, 50873, 52614, 50795, 51034, 60131, 50807, 52890, 50807, 52697, 50807, 54895, 50807, 51596, 50873, 53767, 69535, 61287, 51216, 50923, 51034, 52650, 50918, 52566, 50918, 53260, 50918, 51389, 51527, 52351, 52147, 50438, 52650, 50807, 52566, 50807, 53260, 50807, 67879, 52351, 56869, 51034, 52566, 50918, 53260, 50918, 53039, 50918, 51389, 51527, 52351, 67608, 52566, 50807, 53260, 50807, 53039, 50807, 67879, 52351, 52618, 51034, 53260, 50918, 53039, 50918, 53647, 50918, 51389, 51527, 52351, 60610, 53260, 50807, 53039, 50807, 53647, 50807, 67879, 52351, 52025, 51034, 53039, 50918, 53647, 50918, 55802, 50918, 51389, 51527, 52351, 56039, 53039, 50807, 53647, 50807, 55802, 50807, 51389, 53030, 51128, 52351, 51333, 50440, 50816, 50971, 57040, 55368, 50816, 50867, 56594, 60168, 50816, 50836, 51034, 51886, 50873, 53839, 50795, 53780, 50795, 52196, 50795, 51485, 69535, 60746, 57479, 51161, 52351, 51356, 50416, 50816, 61292, 50816, 54402, 50816, 61359, 50816, 58304, 50816, 53383, 51886, 50873, 53839, 50795, 53780, 50795, 52196, 50795, 51485, 50795, 53240, 60746, 50867, 63261, 63341, 50816, 54854, 52433, 50873, 52203, 50795, 51946, 50795, 52196, 50795, 51744, 52108, 50941, 57671, 50971, 57008, 55666, 51886, 50873, 53839, 50795, 53780, 50795, 52196, 50795, 51485, 50795, 53033, 60746, 51128, 52351, 50915, 50440, 50816, 51297, 57040, 60923, 51673, 50873, 52882, 50795, 53064, 50795, 52196, 50795, 51431, 52108, 51851, 56594, 52134, 50448, 50816, 52134, 51034, 51886, 51127, 53839, 50918, 53780, 50918, 52196, 50918, 51485, 50918, 52078, 60746, 57479, 51161, 52560, 51356, 50416, 50816, 61292, 50816, 54402, 50816, 61359, 50816, 58304, 50816, 53383, 51150, 60746, 50867, 63261, 63341, 50816, 54854, 50816, 50941, 57671, 50971, 57008, 55666, 51673, 50943, 52882, 50807, 53064, 50807, 52196, 50807, 77400, 51868, 60746, 51128, 52560, 50915, 50440, 50816, 51297, 57040, 60923, 50816, 51851, 56594, 52134, 50448, 50816, 52134, 51034, 51886, 50873, 53839, 50795, 53780, 50795, 52196, 50795, 51485, 50795, 52058, 50795, 54885, 76574, 60746, 50807, 52351, 51356, 50426, 53093, 50795, 56435, 50802, 55616, 59984, 51886, 50873, 53839, 50795, 53780, 50795, 52196, 50795, 51485, 52108, 51646, 51886, 50873, 53839, 50795, 53780, 50795, 52196, 50795, 51485, 50795, 55870, 50795, 67259, 50802, 53240, 60746, 50807, 52351, 51016, 50269, 50785, 50414, 51886, 50873, 53839, 50795, 53780, 50795, 52196, 50795, 51485, 50795, 55173, 50795, 61053, 76574, 60746, 67934, 51161, 52351, 51941, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 2635, 8, 19448, 5175, 25771, 2214, 14, 7630, 6568, 10, 1472, 9, 20183, 8, 980, 6, 19, 17878, 9, 15073, 4, 20, 13305, 8, 38668, 2236, 483, 5, 33301, 6, 7513, 30, 5, 364, 38537, 23225, 9, 5, 1893, 43639, 6, 1021, 5901, 1243, 6, 8, 16867, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 20889, 16, 10, 20902, 12447, 1001, 6, 8, 5, 33215, 16739, 1575, 230, 6, 230, 37152, 6, 8, 163, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50415, 50723, 50285, 50824, 50729, 50285, 50824, 54140, 50366, 66543, 53868, 52945, 51675, 52689, 51538, 63514, 51675, 63514, 51675, 58202, 51538, 58202, 78907, 51410, 50810, 51303, 50854, 51249, 50844, 51476, 50857, 50723, 50304, 50987, 77349, 50866, 65167, 50977, 57619, 50987, 53717, 52816, 61699, 50723, 50304, 59009, 50723, 50305, 57485, 53717, 55799, 77349, 57784, 50723, 50307, 52952, 72009, 50811, 50723, 50292, 50824, 50729, 50292, 50824, 54140, 50366, 66543, 66424, 65167, 63399, 51303, 50833, 51249, 50942, 51476, 50844, 51410, 50833, 50723, 50304, 50987, 77349, 50937, 65167, 50937, 57619, 50977, 53717, 52816, 62474, 53565, 52208, 54911, 52017, 70826, 52017, 70826, 52017, 74489, 52208, 74489, 52208, 50458, 53717, 50891, 50799, 50723, 50285, 50824, 50729, 50285, 50824, 54140, 50366, 66543, 58646, 50723, 50304, 51973, 52571, 50839, 51303, 50942, 51651, 50978, 52571, 50810, 50723, 50303, 50839, 50723, 50303, 50866, 65167, 50977, 66964, 50978, 53717, 52816, 75322, 50723, 50305, 57925, 77349, 55996, 50723, 50307, 50881, 50565, 58286, 72009, 61546, 50723, 50291, 50824, 50729, 50291, 50824, 54140, 50366, 66543, 52772, 52571, 50839, 51303, 50833, 51651, 50854, 52571, 50854, 50723, 50303, 50839, 50723, 50303, 50977, 65167, 50937, 66964, 50977, 53717, 52816, 63569, 53717, 50891, 50799, 50723, 50285, 50817, 50729, 50285, 50853, 50563, 50366, 66543, 57030, 53391, 51145, 53132, 51047, 50723, 50287, 51072, 65829, 51047, 65829, 51047, 65621, 51145, 65621, 51145, 50729, 50287, 66489, 51231, 75630, 50822, 51410, 50829, 51410, 50857, 77349, 50829, 50723, 50302, 50823, 77349, 50987, 57964, 50866, 59659, 50978, 53717, 52816, 60155, 50723, 50303, 57476, 50723, 50304, 56861, 53717, 55799, 50723, 50305, 55276, 50723, 50294, 50824, 50729, 50294, 50824, 54140, 50366, 66543, 57972, 55283, 51073, 50730, 50308, 51073, 50730, 50308, 51073, 50440, 77349, 61409, 65167, 58317, 55327, 51116, 51231, 50812, 51410, 50857, 51414, 50810, 51410, 50833, 77349, 50987, 57964, 50917, 59659, 50866, 77349, 51241, 50730, 50306, 51116, 50730, 50306, 51116, 53717, 52816, 59012, 77349, 50993, 50458, 53717, 56047, 55283, 51264, 50730, 50308, 51264, 50730, 50308, 51264, 50461, 50723, 50307, 50811, 50799, 50723, 50280, 50824, 50729, 50280, 50824, 54140, 50366, 66543, 57030, 72009, 56111, 50723, 50305, 56733, 53132, 51419, 65829, 51419, 65829, 51419, 50424, 50723, 50304, 54107, 52690, 50810, 52303, 50839, 52303, 50862, 51465, 50822, 50723, 50302, 50839, 50723, 50299, 50866, 50723, 50302, 50977, 72009, 50978, 53717, 52816, 59992, 52945, 50978, 63514, 50978, 63514, 50978, 53717, 53115, 53391, 51189, 50723, 50287, 50824, 65621, 51189, 65621, 51189, 50729, 50287, 50824, 54140, 50366, 66543, 52772, 51465, 50854, 52690, 50844, 52303, 50839, 52303, 50862, 50723, 50302, 50839, 50723, 50299, 50987, 50723, 50302, 50977, 72009, 50977, 53717, 52816, 63653, 50723, 50304, 58268, 50723, 50303, 57303, 53565, 50866, 74489, 50866, 74489, 69941, 50723, 50300, 50881, 50565, 56772, 50723, 50301, 51300, 50799, 52689, 51307, 50723, 50285, 50824, 58202, 51307, 58202, 51307, 50729, 50285, 50824, 54140, 50366, 66543, 52712, 53985, 52644, 52945, 51742, 51410, 50810, 51303, 50854, 51476, 50857, 51249, 50844, 50723, 50304, 50987, 77349, 50866, 65167, 50977, 57619, 50987, 63514, 51742, 63514, 51742, 68150, 52644, 68150, 52644, 53717, 52816, 59880, 50723, 50302, 50881, 50565, 63122, 50723, 50303, 52952, 50723, 50292, 50824, 50723, 50304, 50824, 50729, 50292, 50824, 54140, 50366, 66543, 52772, 51303, 50833, 51249, 50942, 51476, 50844, 51410, 50855, 50723, 50304, 50987, 77349, 50937, 65167, 50937, 57619, 50977, 53717, 52816, 62705, 53717, 50891, 50799, 53565, 52311, 54911, 52311, 50723, 50285, 50824, 74489, 52311, 74489, 52311, 70826, 52311, 70826, 52311, 50729, 50285, 50824, 54140, 50366, 66543, 58646, 50723, 50310, 52630, 52571, 50839, 51303, 50942, 51651, 50978, 52571, 50810, 50723, 50303, 50839, 57964, 50823, 50723, 50303, 50866, 65167, 50977, 66964, 50978, 53717, 52816, 58779, 50723, 50310, 61964, 65167, 55996, 53717, 58286, 72009, 53663, 50723, 50291, 50824, 50729, 50291, 50824, 54140, 50366, 66543, 52772, 51303, 50833, 51651, 50854, 52571, 50839, 52571, 50854, 50723, 50303, 50839, 50723, 50303, 50977, 65167, 50937, 66964, 50977, 50723, 50307, 51072, 53717, 52816, 58229, 53985, 50839, 68150, 50839, 68150, 59617, 53132, 50835, 65829, 50835, 65829, 59842, 52945, 50829, 63514, 50829, 63514, 53017, 53391, 50820, 65621, 50820, 65621, 57620, 52689, 50834, 52888, 50834, 58202, 50834, 58202, 50834, 60231, 50834, 60231, 57029, 53274, 50839, 62829, 50839, 62829, 50378, 66543, 56047, 53686, 51351, 58771, 51351, 58771, 51351, 50460, 53391, 51313, 65621, 51313, 65621, 51313, 50461, 52888, 51108, 77349, 51029, 60231, 51108, 60231, 51108, 50799, 50723, 50287, 50824, 50729, 50287, 50824, 54140, 50366, 66543, 52712, 52888, 51452, 51231, 75630, 50822, 51410, 50829, 51410, 50857, 77349, 50829, 77349, 50987, 57964, 50866, 59659, 50978, 60231, 51452, 60231, 51452, 53717, 52816, 60155, 50723, 50305, 52726, 50723, 50304, 59009, 50723, 50303, 57485, 53717, 55799, 50723, 50302, 61546, 53686, 51127, 50723, 50294, 50824, 58771, 51127, 58771, 51127, 50729, 50294, 50824, 54140, 50366, 66543, 52772, 51231, 50812, 51410, 50834, 51410, 50841, 51414, 50810, 77349, 50834, 77349, 50937, 57964, 50917, 59659, 50866, 53717, 52816, 65170, 50723, 50302, 79263, 53717, 50891, 50799, 53274, 52071, 52689, 51991, 50723, 50280, 50824, 58202, 51991, 58202, 51991, 62829, 52071, 62829, 52071, 50729, 50280, 50824, 54140, 50366, 66543, 57030, 50723, 50303, 62601, 50723, 50304, 60625, 52690, 50810, 52303, 50839, 52303, 50862, 51465, 50822, 50723, 50302, 50839, 50723, 50299, 50866, 50723, 50302, 50977, 72009, 50978, 53717, 52816, 59992, 53717, 53115, 50723, 50287, 50824, 50729, 50287, 50824, 54140, 50366, 66543, 52772, 52303, 50839, 51465, 50854, 52690, 50844, 52303, 50862, 50723, 50302, 50839, 50723, 50299, 50987, 50723, 50302, 50977, 72009, 50977, 53717, 52816, 62705, 53717, 56772, 53391, 50943, 65621, 50943, 65621, 50943, 50799, 54669, 52644, 53132, 51363, 50723, 50283, 50824, 65829, 51363, 65829, 51363, 63104, 52644, 63104, 52644, 50729, 50283, 50824, 54140, 50366, 66543, 53868, 53132, 55844, 65829, 55844, 65829, 55844, 50426, 52102, 50862, 52102, 51047, 52303, 50857, 51231, 50844, 50723, 50305, 50823, 50723, 50302, 50987, 50723, 50305, 50977, 57964, 50987, 50723, 50305, 51047, 53717, 52816, 60155, 77349, 52119, 50723, 50307, 57485, 72009, 50881, 50565, 58286, 65167, 53925, 53391, 51605, 50723, 50290, 50824, 65621, 51605, 65621, 51605, 50729, 50290, 50824, 54140, 50366, 66543, 66424, 50723, 50310, 58348, 52102, 50833, 51231, 50942, 52303, 50844, 52102, 51127, 50723, 50302, 50987, 50723, 50305, 50937, 50723, 50305, 50937, 57964, 50977, 57964, 50824, 53717, 52816, 63569, 53717, 50891, 50799, 52109, 50834, 51825, 50829, 51981, 50835, 55386, 50829, 60530, 50987, 54978, 50978, 54067, 51058, 56841, 50978, 50723, 50283, 50824, 50729, 50283, 50824, 54140, 58200, 50374, 66543, 51423, 50422, 53717, 57818, 52102, 50839, 51231, 50978, 52102, 50854, 52303, 50810, 57964, 50823, 50723, 50302, 50866, 50723, 50305, 50977, 50723, 50305, 50977, 57964, 63658, 52816 ]
[ 0, 250, 15855, 2125, 19, 5175, 4785, 6, 42, 765, 2214, 7630, 6568, 10, 25306, 5466, 6, 29354, 15352, 30054, 33083, 19, 20292, 223, 34693, 6, 5542, 41, 28339, 50, 177, 12, 3341, 2749, 4, 20, 12280, 3275, 1725, 3109, 1239, 1312, 1289, 6, 24662, 149, 10, 33215, 13931, 9, 381, 401, 6, 163, 119, 6, 381, 401, 6, 83, 401, 6, 8, 211, 11, 5, 762, 9, 274, 10431, 3694, 6, 70, 25451, 23, 10, 7212, 20889, 8, 11, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 50420, 52573, 53591, 52740, 52580, 53322, 54889, 52740, 52739, 52573, 53720, 53322, 52788, 52740, 55608, 52049, 53086, 53322, 51172, 50453, 52242, 53176, 52049, 51172, 52177, 52797, 53004, 52242, 53591, 52049, 52580, 52242, 54889, 52740, 52739, 53322, 53720, 52049, 52788, 53322, 58867, 52242, 50827, 52573, 70591, 52797, 52989, 53634, 50827, 52740, 51006, 50453, 52797, 53176, 52242, 50827, 53322, 72486, 53634, 50827, 50799, 52797, 50827, 52049, 80256, 52044, 53004, 52740, 50827, 53634, 51172, 50423, 52242, 52580, 53322, 67012, 52416, 52739, 52797, 50827, 52044, 51172, 50435, 53322, 52788, 53324, 72927, 53731, 53086, 52416, 50827, 52242, 51199, 50447, 52044, 52989, 52416, 55371, 52797, 53176, 53634, 50827, 53324, 72486, 52044, 50827, 50799, 53634, 50827, 52242, 51309, 50417, 52416, 53004, 52044, 53591, 52740, 50827, 53634, 52580, 52044, 50827, 53322, 67012, 52242, 52739, 52797, 50827, 52573, 64945, 51975, 52788, 52797, 50827, 52049, 51309, 50441, 52044, 53086, 53634, 54043, 52573, 50827, 52797, 52989, 53634, 50827, 52740, 51006, 50453, 53324, 53176, 52242, 50827, 53882, 72486, 52797, 50827, 50799, 53322, 50827, 52242, 51283, 50417, 52049, 53004, 53322, 50827, 52044, 53591, 52740, 50827, 52416, 52580, 53731, 50827, 52573, 51309, 50429, 52416, 52739, 52044, 50827, 52797, 64945, 52573, 50827, 53731, 52788, 52416, 50827, 52242, 51309, 53634, 51309, 50441, 52205, 53086, 53731, 51172, 50447, 53249, 50827, 53634, 52989, 53895, 51309, 52044, 51309, 50453, 52662, 53176, 52205, 51172, 50459, 52797, 50827, 52044, 50827, 50799, 53634, 51199, 52416, 51199, 50417, 54081, 53004, 52662, 53591, 52205, 52580, 52662, 54889, 52416, 52739, 53731, 50827, 52242, 51006, 53634, 64945, 52205, 52788, 53731, 50827, 52573, 51006, 52044, 72927, 52205, 53086, 52662, 50827, 52740, 51006, 53634, 70591, 54081, 52989, 52662, 50827, 53322, 51006, 52044, 51006, 50453, 54066, 53176, 57557, 50827, 53324, 51006, 52416, 72486, 54081, 50827, 50799, 57557, 50827, 52242, 51006, 52416, 51381, 50417, 54081, 53004, 53249, 50827, 52662, 53591, 53895, 50827, 54073, 52580, 53882, 50827, 52662, 51627, 50429, 53895, 50827, 52044, 52739, 53249, 50827, 53634, 53720, 53882, 50827, 52416, 52788, 53895, 50827, 52044, 55608, 52573, 50827, 52797, 53086, 53882, 51172, 52416, 51172, 50447, 54073, 52989, 52662, 51309, 50453, 52740, 50827, 53634, 53176, 52573, 51172, 53731, 51199, 50459, 54073, 50827, 50799, 52662, 51309, 50417, 53322, 53004, 52740, 50827, 52797, 51381, 50423, 52573, 50827, 53731, 52580, 52740, 50827, 52205, 51627, 50429, 53895, 52739, 53882, 53720, 52573, 50827, 52797, 52788, 53882, 50827, 52242, 51627, 50441, 52740, 53086, 52573, 54043, 53882, 50827, 52342, 52989, 52573, 50827, 53731, 51627, 50453, 53249, 53176, 53895, 54529, 53882, 50827, 52242, 50827, 50799, 53895, 50827, 53324, 51627, 50417, 52573, 53004, 53882, 53591, 53895, 50827, 52895, 52580, 53882, 50827, 52416, 51381, 50429, 54769, 52739, 53296, 53720, 53895, 50827, 52049, 52788, 53296, 50827, 53322, 51283, 50441, 56280, 50827, 52443, 53086, 54769, 50827, 52797, 54043, 53296, 50827, 53634, 52989, 52044, 50827, 53895, 51309, 50453, 53634, 53176, 52797, 50827, 53324, 72486, 53895, 50827, 52044, 50827, 50799, 53634, 50827, 53322, 51309, 52443, 51309, 50417, 52416, 53004, 52044, 51172, 50423, 56280, 50827, 52443, 52580, 53029, 51309, 52797, 51309, 50429, 53731, 52739, 52416, 51172, 50435, 54769, 50827, 52797, 52788, 53249, 51309, 53634, 51199, 50441, 52205, 53086, 53731, 54043, 53882, 50827, 52416, 52989, 53731, 50827, 53296, 51006, 50453, 53634, 53176, 52044, 50827, 56280, 72486, 52416, 50827, 50799, 53895, 51309, 52044, 51680, 50417, 53634, 53004, 52797, 53591, 53882, 50827, 52443, 52580, 52797, 50827, 52573, 67012, 53322, 52739, 53324, 50827, 53895, 64945, 52242, 52788, 55342, 51309, 53324, 51680, 50441, 53731, 53086, 52416, 54043, 56280, 50827, 52044, 52989, 52416, 50827, 54769, 51006, 50453, 52797, 53176, 53634, 50827, 55342, 72486, 52044, 50827, 50799, 53249, 51309, 53634, 51680, 50417, 53882, 53004, 53322, 53591, 54769, 50827, 53324, 52580, 52242, 50827, 56280, 51309, 50429, 53324, 52739, 53322, 53720, 53322, 50827, 52242, 52788, 52292, 50827, 53324, 55608, 53882, 50827, 52797, 53086, 53322, 50827, 52242, 51172, 50447, 52740, 50827, 53634, 52989, 52573, 50827, 53731, 51309, 50453, 53882, 50827, 53634, 53176, 52573, 50827, 52797, 51172, 50459, 53895, 50827, 54073, 50827, 50799, 52342, 51006, 53882, 51309, 50417, 52044, 53004, 53634, 53591, 54769, 50827, 52797, 52580, 53634, 50827, 53571, 51006, 54073, 51381, 50429, 53324, 52739, 52242, 50827, 59040, 64945, 52797, 52788, 52242, 51309, 56280, 51680, 50441, 52342, 53086, 53731, 54043, 53882, 50827, 54073, 52989, 53731, 50827, 53334, 51006, 50453, 54081, 53176, 52662, 50827, 52292, 72486, 54073, 50827, 50799, 53322, 50827, 52662, 51680, 50417, 53324, 53004, 53322, 53591, 52292, 52580, 53322, 54889, 53882, 52739, 53334, 53720, 52740, 52788, 53334, 72927, 53382, 53086, 54081, 54043, 53322, 50827, 52662, 52989, 54081, 50827, 53334, 51006, 50453, 53731, 53176, 52205, 50827, 53895, 72486, 52662, 50827, 50799, 52740, 51309, 52205, 51680, 50417, 53731, 53004, 52416, 53591, 53895, 50827, 52895, 52580, 52416, 50827, 53029, 67012, 52797, 52739, 53634, 50827, 55342, 64945, 52044, 52788, 53249, 51309, 53634, 79869, 54081, 53086, 52662, 54043, 55342, 50827, 52205, 52989, 52662, 50827, 59040, 51006, 50453, 52416, 53176, 53731, 50827, 58739, 72486, 52205, 50827, 50799, 50657, 50282, 50827, 53731, 50827, 52044, 80256, 58739, 50827, 52205, 53004, 55061, 50827, 53731, 53591, 55342, 50827, 52416, 52580, 56280, 50827, 52044, 54889, 55342, 50827, 53634, 52739, 55061, 50827, 52797, 53720, 56280, 50827, 52242, 52788, 55342, 50827, 52049, 55608, 53029, 50827, 52797, 53086, 53634, 50827, 56280, 51172, 50447, 52416, 52989, 52242, 55371, 53249, 50827, 53634, 53176, 52895, 50827, 53029, 51172, 50459, 53731, 50827, 50799, 52416, 51627, 50417, 53895, 53004, 53249, 53591, 54769, 50827, 52797, 52580, 53249, 50827, 51975, 51627, 50429, 55342, 52739, 56280, 53720, 53029, 50827, 52416, 52788, 56280, 50827, 52044, 51627, 50441, 53249, 53086, 53029, 54043, 56280, 50827, 52443, 52989, 53029, 50827, 52797, 51627, 50453, 55061, 53176, 55342, 54529, 56280, 50827, 52044, 50827, 50799, 55342, 50827, 53634, 51627, 50417, 53029, 53004, 56280, 53591, 55342, 50827, 53324, 52580, 56280, 50827, 52242, 51283, 50429, 59040, 52739, 56495, 53720, 55342, 50827, 51975, 52788, 56495, 50827, 52797, 51199, 50441, 60730, 53086, 59040, 50827, 52049, 54043, 56495, 50827, 53322, 52989, 59040, 50827, 52740, 55371, 56280, 50827, 53334, 53176, 55342, 50827, 53882, 54529, 56495, 50827, 53895, 50827, 50799, 55342, 50827, 52049, 50827, 52797, 51199, 50417, 56280, 50827, 53322, 53004, 53029, 50827, 52740, 53591, 53249, 50827, 53334, 52580, 53029, 50827, 52740, 54889, 52550, 50827, 52242, 52739, 53895, 50827, 52049, 53720, 53249, 50827, 53322, 52788, 53895, 50827, 52049, 55608, 53882, 50827, 52205, 53086, 52573, 50827, 53731, 54043, 52740, 50827, 52416, 52989, 52573, 50827, 53731, 55371, 52049, 50827, 53634, 53176, 53322, 50827, 52044, 54529, 52740, 50827, 52416, 50827, 50799, 53322, 50827, 52044, 51283, 50417, 52573, 50827, 53731 ]
[ 0, 250, 8787, 5175, 19834, 2125, 11, 163, 428, 538, 6, 4246, 10, 13305, 14, 1974, 34879, 81, 10, 16331, 13931, 9, 12608, 119, 1176, 406, 6, 230, 119, 6, 8, 163, 428, 40286, 6, 2351, 10, 25306, 5466, 19, 10, 11739, 9, 2933, 8, 19448, 4785, 6, 70, 25451, 23, 41, 12447, 1001, 20889, 11, 204, 73, 306, 86, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50450, 51062, 58305, 51081, 53820, 51147, 56569, 64075, 57739, 50931, 55126, 50956, 52511, 50319, 54335, 50861, 52216, 50319, 51318, 63931, 51166, 57267, 59837, 50630, 50956, 74337, 54323, 50861, 52216, 50328, 54771, 50630, 50876, 52511, 50323, 50905, 57739, 51081, 50981, 55961, 61390, 50965, 52511, 50324, 51310, 59409, 58087, 50965, 59388, 50630, 51081, 60094, 51432, 50447, 51062, 54004, 51081, 63552, 77765, 51147, 54194, 64075, 50876, 51166, 50459, 58398, 57923, 57933, 50630, 50997, 58309, 50630, 50871, 70358, 66312, 50965, 51166, 57019, 57997, 50997, 70358, 54058, 50871, 52216, 50319, 53586, 50629, 50965, 74056, 50892, 57739, 50902, 65910, 50981, 58097, 51074, 54439, 52216, 50319, 78819, 57648, 50906, 55659, 50861, 59388, 50631, 77213, 50956, 71106, 50999, 54004, 71593, 50861, 77765, 51081, 54194, 51147, 50844, 50906, 51166, 50459, 64075, 57739, 50965, 72895, 54644, 50876, 52858, 50321, 50981, 54439, 57123, 50630, 50906, 52858, 50319, 53913, 50630, 50965, 72895, 53999, 50876, 52858, 50321, 50981, 56415, 62524, 50630, 50965, 53186, 50318, 50892, 57739, 65473, 50861, 77418, 51333, 75536, 54351, 51001, 55266, 50902, 53450, 50630, 51001, 55730, 50931, 53193, 50951, 55167, 51147, 68522, 50631, 50438, 50999, 58935, 51081, 53103, 50999, 64661, 50631, 50447, 50630, 51081, 52843, 50631, 51062, 58229, 51081, 54424, 51147, 54678, 50630, 64075, 57739, 50965, 72895, 55689, 50876, 78063, 52688, 50861, 74056, 54342, 50906, 52858, 50319, 52718, 50965, 72895, 53999, 50876, 52858, 50321, 52985, 50871, 78063, 56711, 50965, 53186, 50318, 50838, 57923, 57348, 65768, 51330, 63766, 55266, 50951, 52654, 51147, 55730, 51081, 53911, 51062, 56529, 51146, 53415, 50630, 51405, 58935, 51339, 54207, 51487, 61094, 50631, 50447, 52128, 52848, 52052, 65601, 75617, 52052, 50800, 57739, 52052, 56931, 51741, 50326, 79767, 52128, 52910, 50956, 61271, 51487, 52446, 51487, 50805, 51176, 59242, 50630, 51147, 50854, 51339, 54276, 50630, 68278, 51405, 75161, 51097, 50452, 50630, 50453, 50630, 50455, 50630, 50456, 50629, 70892, 51146, 50854, 57739, 50951, 50805, 51405, 52864, 50630, 51197, 62658, 50630, 50422, 50630, 50423, 50630, 50424, 50630, 50425, 50630, 50426, 50630, 51026, 50822, 51001, 69012, 50630, 50428, 50629, 50429, 50629, 50430, 50629, 50431, 50629, 50432, 50629, 50997, 62886, 50629, 50434, 50629, 50435, 50629, 50436, 50629, 50437, 50629, 50438, 50629, 50956, 57105, 50630, 50876, 60201, 50906, 55162, 50965, 56573, 62007, 57739, 50871, 54177, 51197, 53186, 50307, 55191, 51026, 52858, 50307, 51637, 71288, 61449, 51026, 62523, 50630, 51197, 52858, 50319, 54323, 51026, 52858, 50318, 54509, 50629, 50997, 76830, 50974, 57739, 50906, 50995, 60284, 51387, 53523, 79670, 51679, 64551, 61449, 50630, 50900, 51166, 50441, 50876, 54478, 61801, 51050, 51387, 50447, 50902, 53567, 57947, 50900, 51432, 50453, 51001, 54622, 58254, 50956, 51387, 50459, 66735, 57739, 51001, 56115, 50876, 54448, 50631, 72372, 51027, 51432, 50423, 50931, 53450, 50631, 51062, 71974, 51166, 50429, 50999, 53627, 50631, 51405, 58963, 75256, 51146, 52599, 50631, 51405, 60692, 77131, 51146, 67157, 70873, 71214, 51027, 74590, 51081, 66270, 72408, 71717, 50900, 78983, 50631, 50951, 54424, 50931, 57035, 50972, 50458, 50630, 50459, 65559, 57739, 51001, 56624, 50629, 50902, 53004, 50630, 64413, 50997, 74525, 50931, 53220, 50899, 78063, 51108, 58783, 51387, 55898, 62523, 50997, 63050, 50630, 51487, 61895, 51387, 50453, 51339, 54194, 51405, 57035, 51697, 50459, 51146, 50844, 57739, 50956, 52104, 50328, 51295, 55961, 51697, 56040, 51432, 58783, 54126, 50325, 54137, 51081, 69662, 77131, 50630, 51339, 53103, 51430, 57035, 51166, 50447, 51339, 54004, 51487, 65860, 77765, 51339, 54194, 51405, 57035, 51166, 50459, 51146, 50844, 57739, 51062, 66966, 63922, 50630, 50871, 53186, 50328, 51003, 56040, 57123, 50871, 53186, 50325, 54137, 51081, 62963, 74243, 50630, 51339, 53103, 51430, 57035, 71106, 51339, 54004, 51487, 65860, 77765, 51339, 52863, 51405, 57035, 67273, 51146, 50844, 57739, 50956, 51853, 50330, 55689, 50861, 52216, 50328, 53172, 50956, 55378, 50861, 52216, 50328, 53264, 50916, 52104, 50328, 55322, 50861, 52216, 50326, 53562, 50916, 57092, 50631, 50861, 52104, 50326, 50845, 58479, 60263, 70544, 51081, 53066, 50999, 54347, 50931, 52654, 75490, 50861, 50981, 50429, 51062, 52658, 51081, 56529, 50931, 52729, 71214, 50877, 77052, 51146, 54746, 51062, 55590, 50931, 52843, 51146, 59473, 65421, 51405, 53920, 51146, 54421, 70892, 57739, 51405, 73624, 54644, 51405, 78858, 52688, 50877, 54342, 50630, 78980, 50931, 52718, 50906, 51644, 50331, 51918, 71216, 50931, 52985, 51062, 70978, 54509, 76533, 50931, 50974, 54458, 50999, 61980, 70544, 50931, 53932, 51430, 54588, 51339, 53049, 51081, 70978, 50981, 50429, 50931, 53627, 51430, 55098, 51339, 54181, 71214, 50877, 63939, 50931, 52597, 51430, 54672, 51339, 53639, 51146, 59123, 65421, 50931, 52955, 51430, 54421, 51339, 50833, 57739, 60256, 51405, 58481, 50931, 55869, 69128, 51405, 52296, 50931, 54325, 50877, 58519, 50931, 55100, 51146, 70197, 63163, 51062, 54350, 51220, 63144, 66186, 51062, 52781, 68573, 51405, 60132, 50931, 54947, 69128, 51146, 54672, 50931, 54823, 60192, 51062, 55874, 50968, 55162, 69017, 51081, 56054, 77936, 54458, 50999, 58963, 79018, 51097, 50417, 51339, 53066, 51062, 55797, 50999, 52654, 50931, 56274, 50876, 52658, 50631, 50877, 60733, 50631, 50434, 50630, 50435, 50630, 50871, 62903, 50630, 50437, 50630, 50438, 50630, 51247, 51458, 50297, 50873, 57739, 74228, 50906, 51115, 50902, 51115, 50931, 51115, 51234, 51145, 50997, 51145, 50432, 50951, 57455, 50931, 54793, 51001, 54478, 50902, 54823, 50876, 55162, 70181, 57739, 50906, 54177, 50629, 50951, 58069, 50906, 51295, 50951, 51295, 51197, 51145, 50956, 51145, 50427, 50630, 50444, 50630, 50931, 55437, 50999, 58754, 69173, 51081, 50972, 54458, 51081, 63784, 73336, 52011, 50420, 50630, 50876, 51108, 53645, 52011, 63975, 54938, 50631, 51081, 63784, 73336, 76733, 50630, 50876, 51108, 56415, 80076, 50902, 50972, 54594, 53126, 50321, 73318, 50630, 50426, 50630, 50931, 62055, 52025, 50428, 51001, 61660, 50931, 66059, 51001, 55286, 50931, 64248, 51001, 57039, 50902, 63123, 51001, 54927, 58254, 50906, 52025, 50444, 50630, 50902, 55437, 51001, 53581, 50931, 50972, 57739, 51114, 55041, 50630, 51197, 74337, 51108, 56947, 57524, 50631, 66735, 50900, 75256, 51001, 54793, 50630, 50902, 60420, 63236, 50876, 55437, 50902, 53581, 51001, 50972, 57739, 50951, 55126, 50630, 51120, 74056, 60184, 51050, 57524, 50631, 51001, 50851, 50997, 72324, 50902, 53269, 50630, 50876, 58754, 63236, 50906, 55437, 50876, 53581, 50902, 50972, 57739, 50931, 61875, 74606, 50630, 51001, 51108, 57025, 51466, 59409, 54938, 50630, 51001, 51644, 50302, 77074, 50630, 50902, 58959, 51026, 80076, 50906, 50972, 57739, 60124, 51050, 51333, 50417, 50906, 54711, 50877, 55054, 50906, 54325, 50630, 50968, 58519, 50931, 54150, 50968, 55270, 50931, 53269, 51050, 50851, 50871, 66977, 51026, 54947, 51197, 55854, 51050, 54823, 50631, 51120, 62970, 50630, 50452, 50630, 50453, 50630, 51197, 50912, 50454, 50630, 50455, 50630, 50456, 50630, 51085, 63652, 50630, 50458, 50630, 50459, 50630, 51120, 74373, 50630, 50461, 50630, 57739, 51234, 61739, 51115, 50931, 51115 ]
[ 0, 713, 765, 5175, 2214, 11, 230, 538, 16, 10, 28252, 9, 1007, 6, 19, 10, 13305, 981, 5, 1427, 23, 10, 21786, 154, 27841, 3006, 11332, 20889, 4, 20, 231, 73, 306, 86, 6543, 3639, 41, 22438, 27456, 6, 150, 5, 33215, 16739, 9, 211, 119, 401, 6, 15312, 757, 6, 230, 10431, 119, 6, 3676, 6, 8, 230, 10431, 119, 17992, 7, 5, 2125, 18, 15352, 30054, 8, 2829, 2933, 223, 34693, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54838, 50650, 50462, 52785, 50865, 51876, 50936, 51144, 53380, 50474, 52785, 50924, 51876, 51030, 54838, 52785, 50948, 51876, 60445, 52785, 50936, 51876, 72547, 52785, 51030, 51876, 54554, 52785, 51021, 51876, 50860, 76011, 51429, 50948, 50462, 52785, 51021, 51876, 50860, 76011, 51429, 50936, 50474, 52785, 51045, 51876, 50823, 51144, 50952, 51429, 51033, 54838, 50650, 58001, 50802, 52533, 50802, 51099, 54226, 56686, 50802, 53483, 52038, 53366, 50860, 51869, 50860, 51099, 52030, 51099, 50923, 51275, 52313, 51099, 52175, 53366, 50923, 51869, 50802, 51099, 50923, 51275, 52325, 52537, 50923, 51708, 74151, 67796, 53038, 51021, 51706, 50860, 51308, 50860, 50474, 51232, 50923, 51099, 79595, 51308, 50802, 54838, 51232, 50824, 51099, 54107, 51232, 50923, 51308, 52030, 51099, 50923, 51777, 52313, 51099, 52175, 51099, 51054, 51777, 74781, 51099, 51054, 51777, 66396, 51232, 50923, 51099, 79595, 51099, 50802, 54838, 58001, 51012, 52533, 50802, 51099, 54226, 56686, 50923, 53483, 52038, 53366, 51021, 51869, 50860, 51099, 52030, 51099, 50923, 51275, 52313, 51099, 52175, 53366, 50923, 51869, 50802, 51099, 50923, 51275, 52325, 52537, 50923, 51708, 74151, 67796, 53038, 51021, 51706, 50860, 51308, 50860, 50474, 51232, 50923, 51099, 79595, 51308, 50802, 54838, 51232, 50824, 51099, 54107, 51232, 50923, 51308, 52030, 51099, 50923, 51777, 52313, 51099, 52175, 51099, 51054, 51777, 74781, 51099, 51054, 51777, 66396, 51232, 50923, 51099, 79595, 51099, 50802, 54838, 56686, 51012, 53483, 50802, 51494, 54226, 54733, 50923, 52477, 52038, 52537, 51021, 51708, 50860, 51119, 52030, 51119, 50923, 51777, 52313, 51119, 52175, 52537, 50923, 51708, 74151, 50923, 51777, 52325, 52649, 50923, 52040, 74217, 67796, 51964, 51021, 51280, 50860, 51153, 50860, 50474, 51232, 50923, 51119, 79595, 51119, 50802, 54838, 51561, 50824, 51119, 54107, 51561, 50923, 51119, 52030, 51119, 50923, 51153, 52313, 51119, 52175, 51119, 50824, 51153, 74781, 51512, 51054, 51153, 66396, 51561, 50923, 51119, 79595, 51119, 50802, 54838, 56686, 51012, 53483, 50802, 51494, 54226, 54733, 50923, 52477, 52038, 52537, 51021, 51708, 50860, 51119, 52030, 51119, 50923, 51777, 52313, 51119, 52175, 52537, 50923, 51708, 74151, 50923, 51777, 52325, 52649, 50923, 52040, 74217, 67796, 51964, 51021, 51280, 50860, 51153, 50860, 50474, 51232, 50923, 51119, 79595, 51119, 50802, 54838, 51561, 50824, 51119, 54107, 51561, 50923, 51119, 52030, 51119, 50923, 51153, 52313, 51119, 52175, 51119, 50824, 51153, 74781, 51512, 51054, 51153, 66396, 51561, 50923, 51119, 79595, 51119, 50802, 54838, 58001, 51012, 52533, 50802, 51099, 54226, 56686, 50923, 53483, 52038, 53366, 51021, 51869, 50860, 51099, 52030, 51099, 50923, 51275, 52313, 51099, 52175, 53366, 50923, 51869, 50802, 51099, 50923, 51275, 52325, 52537, 50923, 51708, 74151, 67796, 53038, 51021, 51706, 50860, 51308, 50860, 50474, 51232, 50923, 51099, 79595, 51308, 50802, 54838, 51232, 50824, 51099, 54107, 51232, 50923, 51308, 52030, 51099, 50923, 51777, 52313, 51099, 52175, 51099, 51054, 51777, 74781, 51099, 51054, 51777, 66396, 51232, 50923, 51099, 79595, 51099, 50802, 54838, 58001, 51012, 52533, 50802, 51099, 54226, 56686, 50923, 53483, 52038, 53366, 51021, 51869, 50860, 51099, 52030, 51099, 50923, 51275, 52313, 51099, 52175, 53366, 50923, 51869, 50802, 51099, 50923, 51275, 52325, 52537, 50923, 51708, 74151, 67796, 53038, 51021, 51706, 50860, 51308, 50860, 50474, 51232, 50923, 51099, 79595, 51308, 50802, 54838, 51232, 50824, 51099, 54107, 51232, 50923, 51308, 52030, 51099, 50923, 51777, 52313, 51099, 52175, 51099, 51054, 51777, 74781, 51099, 51054, 51777, 66396, 51232, 50923, 51099, 79595, 51099, 50802, 54838, 56686, 51012, 53483, 50802, 51494, 54226, 54733, 50923, 52477, 52038, 52537, 51021, 51708, 50860, 51119, 52030, 51119, 50923, 51777, 52313, 51119, 52175, 52537, 50923, 51708, 74151, 50923, 51777, 52325, 52649, 50923, 52040, 74217, 67796, 51964, 51021, 51280, 50860, 51153, 50860, 50474, 51232, 50923, 51119, 79595, 51119, 50802, 54838, 51561, 50824, 51119, 54107, 51561, 50923, 51119, 52030, 51119, 50923, 51153, 52313, 51119, 52175, 51119, 50824, 51153, 74781, 51512, 51054, 51153, 66396, 51561, 50923, 51119, 79595, 51119, 50802, 54838, 56686, 51012, 53483, 50802, 51494, 54226, 54733, 50923, 52477, 52038, 52537, 51021, 51708, 50860, 51119, 52030, 51119, 50923, 51777, 52313, 51119, 52175, 52537, 50923, 51708, 74151, 50923, 51777, 52325, 52649, 50923, 52040, 74217, 67796, 51964, 51021, 51280, 50860, 51153, 50860, 50474, 51232, 50923, 51119, 79595, 51119, 50802, 54838, 51561, 50824, 51119, 54107, 51561, 50923, 51119, 52030, 51119, 50923, 51153, 52313, 51119, 52175, 51119, 50824, 51153, 74781, 51512, 51054, 51153, 66396, 51561, 50923, 51119, 79595, 51119, 50802, 54838, 50650, 58001, 50802, 52533, 50802, 51099, 54226, 56686, 50802, 53483, 52038, 53366, 50860, 51869, 50860, 51099, 52030, 51099, 50923, 51275, 52313, 51099, 52175, 53366, 50923, 51869, 50802, 51099, 50923, 51275, 52325, 52537, 50923, 51708, 74151, 67796, 53038, 51021, 51706, 50860, 51308, 50860, 50474, 51232, 50923, 51099, 79595, 51308, 50802, 54838, 51232, 50824, 51099, 54107, 51232, 50923, 51308, 52030, 51099, 50923, 51777, 52313, 51099, 52175, 51099, 51054, 51777, 74781, 51099, 51054, 51777, 66396, 51232, 50923, 51099, 79595, 51099, 50802, 54838, 58001, 51012, 52533, 50802, 51099, 54226, 56686, 50923, 53483, 52038, 53366, 51021, 51869, 50860, 51099, 52030, 51099, 50923, 51275, 52313, 51099, 52175, 53366, 50923, 51869, 50802, 51099, 50923, 51275, 52325, 52537, 50923, 51708, 74151, 67796, 53038, 51021, 51706, 50860, 51308, 50860, 50474, 51232, 50923, 51099, 79595, 51308, 50802, 54838, 51232, 50824, 51099, 54107, 51232, 50923, 51308, 52030, 51099, 50923, 51777, 52313, 51099, 52175, 51099, 51054, 51777, 74781, 51099, 51054, 51777, 66396, 51232, 50923, 51099, 79595, 51099, 50802, 54838, 56686, 51012, 53483, 50802, 51494, 54226, 54733, 50923, 52477, 52038, 52537, 51021, 51708, 50860, 51119, 52030, 51119, 50923, 51777, 52313, 51119, 52175, 52537, 50923, 51708, 74151, 50923, 51777, 52325, 52649, 50923, 52040, 74217, 67796, 51964, 51021, 51280, 50860, 51153, 50860, 50474, 51232, 50923, 51119, 79595, 51119, 50802, 54838, 51561, 50824, 51119, 54107, 51561, 50923, 51119, 52030, 51119, 50923, 51153, 52313, 51119, 52175, 51119, 50824, 51153, 74781, 51512, 51054, 51153, 66396, 51561, 50923, 51119, 79595, 51119, 50802, 54838, 56686, 51012, 53483, 50802, 51494, 54226, 54733, 50923, 52477, 52038, 52537, 51021, 51708, 50860, 51119, 52030, 51119, 50923, 51777, 52313, 51119, 52175, 52537, 50923, 51708, 74151, 50923, 51777, 52325, 52649, 50923, 52040, 74217, 67796, 51964, 51021, 51280, 50860, 51153, 50860, 50474, 51232, 50923, 51119, 79595, 51119, 50802, 54838, 51561, 50824, 51119, 54107, 51561, 50923, 51119, 52030, 51119, 50923, 51153, 52313, 51119, 52175, 51119, 50824, 51153, 74781, 51512, 51054, 51153, 66396, 51561, 50923, 51119, 79595, 51119, 50802, 54838, 58001, 51012, 52533, 50802, 51099, 54226, 56686, 50923, 53483, 52038, 53366, 51021, 51869, 50860, 51099, 52030, 51099, 50923, 51275, 52313, 51099, 52175, 53366, 50923, 51869, 50802, 51099, 50923, 51275, 52325, 52537, 50923, 51708, 74151, 67796, 53038, 51021, 51706, 50860, 51308 ]
[ 0, 250, 20902, 8, 15352, 30054, 14123, 3495, 8, 11057, 24904, 2125, 6, 4246, 21979, 8669, 6, 31391, 1672, 9590, 6, 13305, 6, 38668, 11212, 6, 8, 21072, 6, 70, 447, 561, 7, 1045, 10, 32076, 8, 17627, 17274, 5466, 4, 8504, 11, 5, 762, 9, 83, 3694, 19, 10, 182, 1769, 20889, 6, 42, 2214, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 6, 442, 24, 41, 5631, 2031, 13, 2365, 50, 3618, 930, 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 ]	[ 50799, 50649, 50447, 52387, 51346, 76139, 51492, 50415, 51416, 51091, 51311, 51161, 50998, 51161, 50929, 51161, 51067, 51161, 52095, 52054, 51740, 59268, 77083, 54976, 56683, 50421, 78701, 56205, 72739, 50856, 59268, 53611, 54419, 60093, 54144, 58493, 50822, 78701, 53821, 74578, 52993, 50991, 63170, 59268, 53611, 56683, 50445, 78701, 56205, 79616, 51137, 51095, 50856, 53611, 54419, 64801, 50801, 50822, 66707, 52085, 53821, 50907, 51601, 51416, 51091, 51725, 51692, 51131, 51518, 50986, 51518, 50998, 51518, 50929, 51518, 63170, 53611, 56683, 50421, 78701, 56205, 72739, 50856, 53611, 54419, 60093, 54144, 58493, 50822, 78701, 53821, 74578, 52993, 50991, 63170, 53611, 56683, 50445, 78701, 56205, 79616, 51137, 51095, 50856, 53611, 54419, 64801, 50801, 50822, 78701, 53821, 50907, 51601, 51416, 51091, 51311, 51161, 50998, 51161, 50929, 51161, 51067, 51161, 63170, 59268, 53611, 56683, 50421, 78701, 56205, 72739, 51992, 65056, 59268, 53611, 54419, 60093, 51137, 64286, 50822, 78701, 53821, 74578, 51992, 51121, 63170, 59268, 53611, 56683, 50445, 78701, 56205, 79616, 51416, 51158, 50856, 53611, 54419, 76960, 51971, 50937, 50457, 50801, 50822, 66707, 52085, 53821, 50907, 51601, 51349, 51091, 51131, 51692, 50986, 51518, 50998, 51518, 50929, 51518, 51076, 51518, 63170, 59268, 53611, 56683, 50416, 51971, 73555, 78701, 56205, 72739, 50856, 53611, 54419, 56739, 51760, 51254, 50433, 52584, 58493, 50822, 66707, 69369, 74578, 52474, 50991, 63170, 53611, 52542, 52831, 51760, 68711, 78701, 56205, 79616, 51374, 51095, 50856, 59268, 69838, 76960, 51756, 50977, 50457, 50801, 50822, 78701, 53821, 57467, 51760, 52024, 51601, 51181, 51091, 50960, 51161, 50970, 51161, 50947, 51161, 57713, 53507, 53611, 56683, 50421, 78701, 56205, 50907, 57773, 53507, 53611, 54419, 60093, 51910, 58493, 50822, 78701, 53821, 74578, 51349, 50991, 63170, 53611, 56683, 64614, 50812, 78701, 56205, 79616, 51844, 51095, 50856, 53611, 54419, 64801, 61237, 51049, 55641, 53821, 50907, 51601, 51181, 51091, 50960, 51161, 50970, 51161, 51064, 51161, 51067, 51161, 63170, 53611, 56683, 50421, 78701, 56205, 72739, 50856, 53611, 54419, 66142, 52365, 51252, 50433, 51910, 58493, 50822, 51248, 50792, 50596, 52085, 53821, 74578, 51526, 50991, 63170, 77083, 54976, 56683, 50445, 78701, 56205, 79616, 51727, 51095, 50856, 53611, 54419, 65732, 52365, 51252, 50457, 50801, 50822, 51248, 50792, 50596, 53189, 53821, 50907, 51601, 51181, 51364, 51311, 51161, 50970, 51161, 50947, 51161, 51067, 51161, 63170, 59268, 53611, 56683, 50421, 78701, 56205, 72739, 50856, 59268, 53611, 54419, 73881, 51992, 50917, 50433, 51349, 55944, 50822, 78701, 53821, 74578, 51684, 51377, 51992, 50849, 63170, 59268, 53611, 56683, 50445, 78701, 56205, 79616, 51349, 50830, 51971, 60716, 53611, 54419, 64801, 50801, 50822, 66707, 52085, 53821, 50907, 51601, 51181, 51675, 51444, 51692, 50960, 51518, 50970, 51518, 51064, 51518, 51067, 51518, 63170, 53611, 56683, 50416, 51971, 51100, 50421, 78701, 56205, 72739, 51760, 56255, 53611, 54419, 60093, 50801, 50822, 78701, 53821, 74578, 51526, 50983, 63170, 53611, 56683, 50440, 51760, 68711, 78701, 56205, 79616, 51756, 66001, 53611, 54419, 64801, 51533, 59597, 50822, 78701, 53821, 57467, 51760, 52024, 51601, 51181, 51413, 63170, 53611, 56683, 50416, 50947, 50917, 63557, 69463, 50421, 78701, 56205, 72739, 50960, 64709, 59268, 53611, 54419, 73881, 51064, 50897, 50970, 51051, 50433, 51349, 51446, 50801, 50822, 78701, 53821, 74578, 63170, 53611, 56683, 50440, 50960, 51025, 50970, 51172, 51076, 51095, 50445, 66707, 53611, 56205, 79616, 51533, 61965, 53611, 54419, 64801, 50801, 50822, 78701, 53821, 50907, 51601, 51181, 51091, 50960, 51353, 50970, 51151, 63170, 53611, 56683, 50421, 78701, 56205, 72739, 50856, 53611, 54419, 66142, 52365, 51252, 50433, 51727, 64286, 50822, 51248, 50792, 50596, 52085, 53821, 74578, 63170, 77083, 54976, 56683, 50445, 66703, 53019, 50812, 78701, 56205, 79616, 51181, 51158, 50856, 53611, 54419, 65732, 52365, 51252, 50457, 50801, 50822, 51248, 50792, 50596, 53189, 53821, 50907, 51601, 51181, 51364, 51311, 51016, 50960, 51016, 50970, 51016, 50947, 51016, 57713, 53507, 53611, 56683, 50421, 78701, 56205, 72739, 51992, 57370, 53507, 53611, 54419, 60093, 51349, 50845, 51311, 50914, 50960, 50914, 76079, 50947, 58307, 50822, 78701, 53821, 74578, 51684, 51377, 51992, 50849, 63170, 53611, 56683, 50442, 52365, 51252, 50445, 51248, 50792, 50596, 52085, 56205, 79616, 51349, 50830, 51311, 51162, 50960, 51162, 50970, 51162, 50947, 51162, 51971, 66001, 53611, 54419, 64801, 61237, 51049, 53701, 50596, 52085, 53821, 50907, 51601, 51137, 51364, 51311, 51016, 50970, 51016, 50947, 51016, 51292, 51016, 51971, 50805, 63170, 53611, 56683, 50421, 78701, 56205, 72739, 50856, 53611, 54419, 73881, 51760, 75343, 52365, 51252, 50433, 51684, 50845, 51311, 50914, 76079, 72588, 51292, 58307, 50822, 51248, 50792, 50596, 52085, 53821, 74578, 52993, 51377, 63170, 77083, 54976, 56683, 50440, 51760, 68711, 78701, 56205, 79616, 51684, 50830, 51311, 51162, 50970, 51162, 50947, 51162, 51292, 51162, 51756, 60716, 53611, 54419, 65732, 52365, 51252, 50457, 50801, 50822, 51248, 50792, 50596, 53189, 53821, 50907, 51601, 51338, 51077, 57713, 53507, 53611, 56683, 50416, 70497, 50998, 50978, 66694, 51971, 54454, 50421, 78701, 56205, 72739, 50986, 60054, 53507, 53611, 54419, 73881, 71590, 51169, 50940, 50433, 50801, 50822, 78701, 53821, 74578, 51137, 51343, 63170, 53611, 56683, 50440, 68657, 50998, 51006, 50947, 50917, 50442, 52365, 51252, 50445, 51248, 50792, 50596, 52085, 56205, 79616, 50856, 53611, 54419, 64801, 51338, 52282, 61237, 51049, 53701, 50596, 52085, 53821, 72740, 50998, 51058, 50986, 50942, 50929, 50940, 51601, 63170, 59268, 53611, 56683, 50421, 78701, 56205, 56237, 68583, 51169, 50830, 68657, 80211, 53611, 54419, 60093, 51137, 53287, 50822, 66707, 69369, 76969, 70590, 50947, 50940, 50986, 68099, 51137, 50925, 63170, 53611, 56683, 50440, 52721, 51294, 50441, 63896, 68242, 50442, 50947, 66353, 78701, 56205, 79616, 51137, 51286, 50856, 59268, 69838, 64801, 52213, 53090, 50801, 50822, 78701, 53821, 50907, 51601, 51181, 51343, 50986, 51016, 50970, 51016, 50947, 51016, 51292, 51016, 57713, 53507, 53611, 56683, 50421, 78701, 56205, 50907, 57773, 53507, 53611, 54419, 60093, 51132, 51362, 76081, 76079, 72588, 51292, 58307, 50822, 78701, 53821, 74578, 63170, 53611, 56683, 50442, 52365, 51252, 50445, 51248, 50792, 50596, 52085, 56205, 79616, 51349, 51048, 50986, 51162, 50970, 51162, 50947, 51162, 51292, 51162, 50856, 53611, 54419, 64801, 61237, 51049, 53701, 50596, 52085, 53821, 50907, 51601, 51137, 51364, 51311, 51161, 50970, 51161, 50947, 51161, 51292, 51161, 63170, 59268, 53611, 56683, 50421, 78701, 56205, 72739, 50856, 53611, 54419, 60093, 51684, 55944, 50822, 66707, 69369, 74578, 52993, 51377, 63170, 53611, 56683, 50440, 52721, 51091, 50445, 78701, 56205, 79616, 51684, 55941, 59268, 69838, 64801, 50801, 50822, 78701, 53821, 50907, 51601, 51416, 51091, 51131, 51353, 50986, 51353, 50998, 51151, 57713, 53507, 53611, 56683, 50416, 51971, 50889, 50421, 78701, 56205, 50907, 57773, 53507, 53611, 54419, 60093, 54144, 58493, 50822, 78701, 53821, 74578, 52993, 50991, 63170, 53611, 52542, 52831, 51971, 51091, 50442, 52365, 51252 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 2214, 19, 25771, 4785, 6, 4246, 3459, 9590, 6, 13305, 6, 32909, 6, 21677, 32909, 6, 8, 81, 9756, 8669, 4, 20, 2125, 16, 11, 5, 762, 9, 2060, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 3136, 23, 41, 178, 5285, 20889, 4, 20, 33215, 16739, 9, 12608, 6, 163, 428, 6, 230, 10431, 119, 1176, 406, 6, 8, 2060, 3639, 7, 5, 2214, 18, 34384, 1722, 8, 2829, 2933, 5466, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50796, 51755, 51467, 64956, 53045, 50828, 71172, 52823, 50373, 52852, 50846, 51361, 53107, 59131, 51170, 50373, 53967, 50825, 51570, 56233, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51170, 55756, 50374, 53967, 57536, 52321, 53107, 52772, 52232, 50820, 52856, 54898, 51139, 53268, 51746, 50820, 52232, 51013, 51970, 51755, 51467, 64956, 53045, 50828, 71172, 52823, 50373, 52852, 50846, 51361, 53107, 59131, 51170, 50373, 53967, 52742, 52074, 50879, 51718, 51087, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51170, 55756, 50374, 53967, 57536, 51746, 53841, 51139, 53107, 50835, 51899, 51139, 53268, 52232, 51013, 51970, 50460, 71973, 51755, 51467, 53227, 51746, 50887, 62023, 52905, 52074, 50924, 54680, 52823, 50373, 52852, 52927, 52074, 51013, 69477, 59131, 51170, 50373, 53967, 50825, 51570, 56233, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51170, 55756, 50374, 53967, 57536, 51823, 50952, 52321, 53107, 52772, 51856, 50879, 54680, 53268, 51943, 56946, 52348, 62107, 50804, 50908, 54124, 50928, 52198, 50928, 55985, 50982, 56483, 50982, 51755, 51467, 53227, 51499, 50859, 62023, 50828, 71172, 52823, 50373, 52852, 50846, 51361, 53107, 59131, 51170, 50373, 53967, 57514, 51096, 52445, 50438, 51213, 65417, 51087, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51170, 55756, 50374, 53967, 57536, 52321, 53107, 58145, 51228, 52445, 50450, 51325, 55071, 51139, 64382, 51796, 51097, 51453, 59789, 71973, 50799, 77879, 52074, 50890, 51593, 50940, 51687, 51358, 51651, 51358, 51414, 51358, 51629, 51293, 51394, 51293, 51811, 51293, 54052, 64173, 51856, 63059, 53045, 59095, 51856, 52905, 52074, 50921, 51593, 50952, 52856, 50940, 54680, 52823, 50373, 52852, 59971, 51856, 50828, 51361, 53107, 59131, 51856, 56233, 50373, 53967, 52742, 52074, 50887, 51593, 50808, 52106, 50859, 51718, 51087, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51856, 56455, 55756, 50374, 53967, 57536, 51687, 50830, 52321, 53107, 52772, 51687, 50795, 51651, 50795, 51327, 53373, 51139, 53268, 51303, 51036, 51231, 51036, 51414, 51036, 51970, 51755, 51467, 53227, 51245, 50818, 51839, 50884, 52856, 51139, 53045, 59095, 51245, 72217, 52966, 51245, 50809, 51839, 50808, 52856, 55976, 51139, 52823, 50373, 52852, 59971, 51245, 50841, 51839, 50837, 52856, 72217, 50928, 51361, 53107, 59131, 51245, 50378, 54130, 58340, 50373, 53967, 52742, 51245, 50887, 51839, 50808, 52856, 50880, 51641, 51235, 57464, 51124, 51718, 51087, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51245, 50840, 51839, 50825, 52106, 50384, 55421, 50363, 51087, 55756, 50374, 53967, 57536, 52321, 53107, 54492, 51485, 50895, 56033, 59698, 51245, 50835, 52061, 50895, 58505, 50380, 54130, 51306, 50449, 51431, 50895, 56084, 53035, 75358, 51839, 50800, 52106, 50858, 51723, 51073, 57645, 50914, 54680, 59617, 51245, 50818, 51839, 50825, 52106, 72217, 52445, 51453, 59789, 51245, 50846, 51839, 50834, 52106, 50381, 54130, 67851, 50835, 50799, 51943, 50809, 51497, 50890, 51839, 50836, 52211, 51933, 51509, 51933, 56290, 51486, 52102, 51790, 51303, 51358, 51651, 51742, 51414, 51623, 51629, 51293, 51394, 51293, 51811, 51293, 54052, 64173, 51943, 63059, 53045, 59095, 51943, 52872, 51497, 50836, 52074, 50809, 52232, 54898, 51139, 52823, 50373, 52852, 59971, 51497, 80029, 53107, 59131, 51497, 55263, 50373, 53967, 52742, 51497, 50855, 52074, 50887, 52856, 51594, 56233, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51497, 56455, 55756, 50374, 53967, 57536, 52102, 50952, 52321, 53107, 52772, 52102, 53753, 51303, 54454, 51414, 50924, 54680, 53268, 51651, 51264, 50804, 52348, 62107, 50804, 50908, 54124, 50928, 52198, 50928, 55985, 50982, 56483, 50982, 51755, 51467, 64173, 51497, 50834, 52074, 50818, 52232, 52628, 51497, 51750, 53045, 59095, 52164, 52966, 51497, 50825, 52074, 50840, 52232, 55960, 51139, 52823, 50373, 52852, 59971, 51497, 50376, 54130, 50928, 51361, 53107, 59131, 51497, 50369, 54130, 58340, 50373, 53967, 52742, 51497, 50857, 52074, 50836, 52232, 50887, 51718, 51087, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51497, 50376, 54130, 50363, 51087, 55756, 50374, 53967, 57536, 52321, 53107, 60411, 51497, 50373, 54130, 58547, 51497, 50825, 52074, 50840, 52856, 50880, 53709, 51010, 57464, 50942, 54680, 59617, 51497, 50820, 52334, 50895, 56290, 50378, 55421, 52445, 50456, 52211, 50811, 62337, 50862, 51970, 50460, 52039, 50811, 57696, 50378, 55421, 67851, 50835, 50799, 77879, 52074, 50890, 51593, 50940, 51687, 51991, 51651, 51605, 51414, 51991, 51327, 51605, 51629, 51293, 51394, 51293, 51811, 51293, 54052, 64173, 51856, 50841, 51723, 50930, 60477, 64956, 53045, 59095, 51856, 50828, 53709, 51010, 57464, 53901, 52074, 50921, 51593, 50952, 52856, 50940, 54680, 52823, 50373, 52852, 59971, 51856, 50828, 51361, 53107, 59131, 51856, 56233, 50373, 53967, 52742, 52074, 50808, 51593, 50887, 53468, 50859, 51718, 51087, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51856, 56455, 55756, 50374, 53967, 57536, 52321, 53107, 50835, 51899, 78988, 80075, 66513, 52536, 51231, 52392, 51414, 51605, 54052, 53227, 51245, 50818, 51839, 50884, 52856, 51139, 53045, 59095, 51245, 72217, 52966, 51245, 50809, 51839, 50808, 52856, 55976, 51139, 52823, 50373, 52852, 59971, 51245, 50841, 51839, 50837, 52856, 72217, 50928, 51361, 53107, 59131, 51245, 50378, 54130, 58340, 50373, 53967, 52742, 51245, 50887, 51839, 50808, 52856, 50880, 52211, 50803, 62337, 51049, 56233, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51245, 50840, 51839, 50825, 52106, 50890, 51723, 50962, 60477, 50383, 55421, 50363, 51087, 55756, 50374, 53967, 57536, 52303, 51141, 52321, 53107, 60411, 51245, 50835, 79215, 61933, 72089, 58547, 75358, 51839, 50800, 52106, 55508, 51139, 59617, 51245, 50818, 51839, 50825, 52106, 50818, 52061, 50811, 50710, 50329, 72089, 52445, 51453, 59789, 51245, 50846, 51839, 50834, 52106, 50846, 51723, 51573, 51641, 51226, 50710, 50331, 51141, 52164, 67851, 50835, 50799, 51943, 50809, 51497, 50890, 51839, 50836, 52102, 51264, 51303, 51655, 51651, 51264, 51414, 51655, 54052, 64173, 51943, 63059, 53045, 59095, 51943, 52872, 51497, 50836, 52074, 50809, 52232, 54898, 51139, 52823, 50373, 52852, 59971, 51497, 50835, 52211, 50811, 52061, 50930, 50710, 50329, 52209, 52039, 50821, 51431, 50800, 61933, 50910, 69477, 59131, 51497, 50829, 52211, 51870, 52061, 51127, 50710, 50329, 50918, 51170, 50373, 53967, 52742, 51497, 50855, 52074, 50887, 52856, 51594, 56233, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51497, 56455, 55756, 50374, 53967, 57536, 52321, 53107, 50835, 51899, 51139, 53268, 50804, 52348, 62107, 50804, 50908, 54124, 50928, 52198, 50928, 55985, 50982, 56483, 50982, 79480, 51151, 51687, 51293, 51651, 51313, 54052, 64173, 51497, 50834, 52074, 50818, 52232, 52628, 51497, 50835, 53001, 51400, 62023, 59095, 52164, 52966, 51497, 50825, 52074, 50840, 52232, 55960, 51139, 52823, 50373, 52852, 59971, 51497, 50834, 52109, 51194, 52164, 50928, 51361, 53107, 59131, 52164, 58340, 50373, 53967, 52742, 51497, 50891, 51980, 51562, 51718, 51087, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387 ]
[ 0, 250, 765, 6, 1372, 15855, 2125, 19, 10, 2842, 9, 3495, 6, 4246, 41, 21979, 8669, 816, 11, 10, 7212, 155, 73, 306, 86, 6543, 4, 20, 2214, 16, 11, 5, 762, 9, 230, 538, 8, 29769, 198, 5, 40286, 230, 8, 211, 119, 6, 2351, 10, 8520, 8, 11653, 5466, 14, 19101, 26545, 8, 20183, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 59205, 57304, 51504, 51161, 50416, 51131, 51161, 50417, 50986, 59047, 50998, 51631, 50970, 51736, 50929, 51646, 50947, 51918, 63139, 51034, 70655, 59737, 59857, 62768, 51032, 52910, 70655, 59737, 59857, 62768, 51032, 52424, 70655, 59737, 59857, 62768, 65429, 51034, 58352, 68137, 51444, 51161, 50416, 51207, 51161, 50417, 50960, 57944, 51032, 51736, 51064, 51646, 50947, 51918, 61675, 51034, 70655, 59737, 59857, 50970, 57269, 52910, 70655, 59737, 59857, 50970, 57269, 52424, 70655, 59737, 59857, 50970, 62526, 51034, 56745, 51246, 57944, 50929, 52424, 50929, 63453, 50970, 51048, 51034, 68902, 50986, 50983, 50416, 50998, 54745, 50970, 59182, 50998, 51291, 50432, 50960, 52262, 50998, 51724, 59857, 51034, 59205, 57304, 51504, 51161, 50416, 51131, 51161, 50417, 50986, 59047, 50998, 51631, 50970, 51736, 50929, 51646, 50947, 51918, 63139, 51034, 70655, 59737, 59857, 62768, 51032, 52910, 70655, 59737, 59857, 62768, 51032, 52424, 70655, 59737, 59857, 62768, 65429, 51034, 58352, 68137, 51444, 51161, 50416, 51207, 51161, 50417, 50960, 57944, 51032, 51736, 51064, 51646, 50947, 51918, 61675, 51034, 70655, 59737, 59857, 50970, 57269, 52910, 70655, 59737, 59857, 50970, 57269, 52424, 70655, 59737, 59857, 50970, 62526, 51034, 71890, 50960, 52910, 58352, 51246, 56039, 50970, 63453, 50998, 51048, 51034, 70655, 59737, 59857, 50970, 52910, 70655, 59737, 59857, 50970, 52424, 70655, 59737, 59857, 62768, 51034, 59205, 57304, 51504, 51161, 50416, 51131, 51161, 50417, 50986, 59047, 50998, 51631, 50970, 51736, 50929, 51646, 50947, 51918, 63139, 51034, 70655, 59737, 59857, 62768, 51032, 52910, 70655, 59737, 59857, 62768, 51032, 52424, 70655, 59737, 59857, 62768, 65429, 51034, 58352, 68137, 51444, 51161, 50416, 51207, 51161, 50417, 50960, 57944, 51032, 51736, 51064, 51646, 50947, 51918, 61675, 51034, 70655, 59737, 59857, 50970, 57269, 52910, 70655, 59737, 59857, 50970, 57269, 52424, 70655, 59737, 59857, 50970, 62526, 51034, 56745, 51246, 57944, 50929, 52424, 50929, 63453, 50970, 51048, 51034, 68902, 50986, 50983, 50416, 50998, 54745, 50970, 59182, 50998, 51291, 50432, 50960, 52262, 50998, 51724, 59857, 51034, 59205, 57304, 51504, 51161, 50416, 51131, 51161, 50417, 50986, 59047, 50998, 51631, 50970, 51736, 50929, 51646, 50947, 51918, 63139, 51034, 70655, 59737, 59857, 62768, 51032, 52910, 70655, 59737, 59857, 62768, 51032, 52424, 70655, 59737, 59857, 62768, 65429, 51034, 58352, 68137, 51444, 51161, 50416, 51207, 51161, 50417, 50960, 57944, 51032, 51736, 51064, 51646, 50947, 51918, 61675, 51034, 70655, 59737, 59857, 50970, 57269, 52910, 70655, 59737, 59857, 50970, 57269, 52424, 70655, 59737, 59857, 50970, 62526, 51034, 71890, 50960, 52910, 58352, 51246, 56039, 50970, 63453, 50998, 51048, 51034, 70655, 59737, 59857, 50970, 52910, 70655, 59737, 59857, 50970, 52424, 70655, 59737, 59857, 62768, 51034, 63139, 62978, 51444, 51161, 50416, 50960, 51161, 50417, 50970, 59047, 50947, 51631, 51064, 51736, 51032, 51646, 51067, 51918, 70858, 51034, 59737, 59857, 50970, 62526, 51438, 52910, 59737, 59857, 50970, 62526, 51438, 52424, 59737, 59857, 50970, 62526, 51438, 50807, 51034, 50960, 52115, 50998, 51631, 50970, 51736, 50929, 51646, 50947, 51918, 63139, 51034, 70655, 59737, 59857, 62768, 51032, 52910, 70655, 59737, 59857, 62768, 51032, 52424, 70655, 59737, 59857, 62768, 65429, 51034, 61351, 69095, 62768, 58352, 51067, 52910, 62978, 61351, 69095, 62768, 50929, 53182, 51032, 51646, 61351, 69095, 62768, 58352, 70344, 51034, 59498, 59857, 62299, 51292, 52910, 70858, 59498, 59857, 50998, 53182, 51067, 51646, 59857, 51292, 50807, 51034, 51067, 52910, 61351, 72611, 58352, 51032, 52424, 70903, 61351, 72611, 58352, 50440, 51076, 51048, 51034, 66615, 59498, 59857, 58352, 51032, 52910, 66615, 59498, 59857, 58352, 51032, 52424, 66615, 59498, 59857, 58352, 65429, 51034, 63139, 62978, 51444, 51161, 50416, 50960, 51161, 50417, 50970, 59047, 50947, 51631, 51064, 51736, 51032, 51646, 51067, 51918, 70858, 51034, 59737, 59857, 50970, 62526, 51438, 52910, 59737, 59857, 50970, 62526, 51438, 52424, 59737, 59857, 50970, 62526, 51438, 50807, 51034, 50960, 52115, 50986, 51631, 50960, 51736, 50998, 51646, 50970, 51918, 61675, 51034, 70655, 59737, 59857, 50970, 57269, 52910, 70655, 59737, 59857, 50970, 57269, 52424, 70655, 59737, 59857, 50970, 62526, 76004, 59047, 50947, 51631, 51064, 51736, 50947, 51646, 50929, 51918, 59205, 51034, 59857, 62299, 51032, 52910, 59857, 62299, 51064, 52424, 70655, 59737, 59857, 50970, 62526, 51034, 50947, 52115, 51064, 51631, 67640, 50986, 50918, 50428, 50929, 54056, 50947, 58607, 50929, 52359, 50947, 57307, 50929, 60865, 61337, 51034, 70655, 59737, 59857, 50970, 52910, 70655, 59737, 59857, 50970, 52424, 70655, 59737, 59857, 62768, 51034, 63139, 62978, 51444, 51161, 50416, 50960, 51161, 50417, 50970, 59047, 50947, 51631, 51064, 51736, 51032, 51646, 51067, 51918, 70858, 51034, 59737, 59857, 50970, 62526, 51438, 52910, 59737, 59857, 50970, 62526, 51438, 52424, 59737, 59857, 50970, 62526, 51438, 50807, 51034, 50960, 52115, 50998, 51631, 50970, 51736, 50929, 51646, 50947, 51918, 63139, 51034, 70655, 59737, 59857, 62768, 51032, 52910, 70655, 59737, 59857, 62768, 51032, 52424, 70655, 59737, 59857, 62768, 65429, 51034, 61351, 69095, 62768, 58352, 51067, 52910, 62978, 61351, 69095, 62768, 50929, 53182, 51032, 51646, 61351, 69095, 62768, 58352, 70344, 51034, 59498, 59857, 62299, 51292, 52910, 70858, 59498, 59857, 50998, 53182, 51067, 51646, 59857, 51292, 50807, 51034, 51067, 52910, 61351, 72611, 58352, 51032, 52424, 70903, 61351, 72611, 58352, 50440, 51076, 51048, 51034, 66615, 59498, 59857, 58352, 51032, 52910, 66615, 59498, 59857, 58352, 51032, 52424, 66615, 59498, 59857, 58352, 65429, 51034, 63139, 62978, 51444, 51161, 50416, 50960, 51161, 50417, 50970, 59047, 50947, 51631, 51064, 51736, 51032, 51646, 51067, 51918, 70858, 51034, 59737, 59857, 50970, 62526, 51438, 52910, 59737, 59857, 50970, 62526, 51438, 52424, 59737, 59857, 50970, 62526, 51438, 50807, 51034, 50960, 52115, 50986, 51631, 50960, 51736, 50998, 51646, 50970, 51918, 61675, 51034, 70655, 59737, 59857, 50970, 57269, 52910, 70655, 59737, 59857, 50970, 57269, 52424, 70655, 59737, 59857, 50970, 62526, 76004, 59047, 50947, 51631, 51064, 51736, 50947, 51646, 50929, 51918, 59205, 51034, 59857, 62299, 51032, 52910, 59857, 62299, 51064, 52424, 70655, 59737, 59857, 50970, 62526, 51034, 50947, 52115, 51064, 51631, 67640, 50986, 50918, 50428, 50929, 54056, 50947, 58607, 50929, 52359, 50947, 57307, 50929, 60865, 61337, 51034, 70655, 59737, 59857, 50970, 52910, 70655, 59737, 59857, 50970, 52424, 70655, 59737, 59857, 62768, 51034, 51504, 51161, 50416, 51131, 51161, 50417, 50986, 51161, 50419, 50970, 51358, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 2635, 12, 20764, 3495, 1619, 2214, 11, 230, 3694, 6, 4246, 10, 13305, 6, 21979, 8669, 6, 6755, 12547, 6, 4401, 757, 3178, 6, 8, 21072, 4, 20, 33301, 7630, 6568, 6453, 9, 657, 8, 26545, 6, 19, 5, 40286, 230, 119, 8, 274, 119, 1976, 5, 46336, 4811, 4, 20, 204, 73, 306, 86, 6543, 8, 5, 7212, 5933, 146, 24, 10, 1969, 1285, 7, 143, 2317, 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 ]	[ 57448, 50799, 51887, 51870, 51299, 51870, 51164, 64739, 51154, 63406, 52247, 51375, 51079, 51093, 61815, 56990, 54777, 51154, 55808, 53470, 51887, 51870, 51794, 51870, 51088, 51080, 51165, 51244, 50847, 50918, 50939, 51356, 50799, 51887, 51009, 51299, 51009, 51164, 66526, 51154, 63406, 57078, 51375, 51079, 51093, 61815, 59192, 52309, 51154, 55808, 58395, 51887, 51029, 51794, 51029, 51088, 51283, 51165, 51477, 50847, 51356, 50939, 51551, 55513, 57593, 64244, 72291, 61409, 51456, 59788, 51456, 52768, 50871, 59223, 77277, 50802, 51690, 61479, 69261, 52884, 50965, 69854, 50802, 52128, 50802, 52838, 61479, 50823, 54594, 60253, 50802, 51487, 50802, 51926, 50802, 51887, 51009, 51299, 51009, 50872, 50974, 50945, 56681, 59739, 51469, 50832, 50879, 55961, 59223, 77277, 50802, 51690, 65101, 61176, 52483, 50965, 69854, 50802, 52128, 50802, 52838, 57866, 52108, 74516, 54729, 50871, 59223, 77277, 50802, 51690, 65101, 78904, 51646, 50861, 60253, 50802, 51487, 50802, 51926, 50802, 51887, 51009, 51794, 51009, 50939, 50892, 51096, 56681, 76801, 52692, 73176, 50931, 50975, 51339, 50975, 51690, 50975, 51125, 51387, 50832, 52610, 51257, 57321, 50943, 50832, 50893, 50454, 51040, 50823, 51028, 50823, 51399, 50823, 51905, 54178, 51125, 55993, 50923, 50458, 50956, 50823, 67948, 51405, 50823, 51811, 50823, 53975, 51407, 50876, 51407, 51062, 51407, 51299, 50824, 51304, 51407, 51887, 51184, 50872, 50849, 50945, 58583, 55671, 56179, 50992, 61176, 52483, 51638, 50824, 50909, 57353, 72363, 54729, 50992, 59510, 51646, 52316, 51009, 50872, 53834, 76801, 52692, 50900, 79340, 53194, 50328, 51012, 51304, 69288, 67484, 52610, 50871, 53194, 50321, 53194, 50333, 51012, 51690, 67459, 59140, 74516, 55764, 50965, 53194, 50324, 53194, 50336, 51012, 52838, 69288, 59561, 50923, 54594, 60253, 50802, 51487, 50802, 51926, 50802, 51887, 51009, 51299, 51009, 50872, 58536, 58583, 76801, 50879, 55961, 59223, 77277, 50802, 51690, 65101, 64602, 52483, 50965, 69854, 50802, 52128, 50802, 52838, 57866, 56649, 69016, 54729, 50871, 59223, 77277, 50802, 51690, 65101, 58214, 51646, 50861, 60253, 50802, 51487, 50802, 51926, 51012, 52316, 77105, 77732, 56777, 51090, 50832, 52692, 73176, 50931, 50975, 51339, 50975, 51690, 51483, 50992, 61176, 52610, 52316, 50824, 50909, 57957, 51013, 50832, 50893, 50454, 50900, 71236, 51062, 50823, 51304, 63695, 50992, 59510, 50923, 50458, 51086, 64313, 50823, 51220, 50823, 51558, 51045, 55435, 51407, 50906, 51407, 51081, 51407, 51638, 50824, 51394, 52827, 51794, 51352, 50939, 50845, 51096, 58583, 51090, 50832, 56179, 51125, 61176, 52483, 51887, 50824, 51257, 57321, 69016, 54729, 51125, 61176, 51646, 51638, 51237, 50939, 54788, 74516, 52692, 50997, 58503, 65531, 50802, 51394, 51952, 50317, 61176, 52610, 51040, 67797, 50802, 51399, 50802, 51887, 50802, 51905, 51952, 50321, 57321, 69016, 55764, 50916, 61537, 50802, 51430, 50802, 51699, 50802, 51733, 51952, 50317, 67484, 50923, 54594, 51407, 50951, 51407, 51487, 51407, 51926, 52311, 52602, 53174, 50939, 50845, 51096, 58583, 76801, 56179, 51887, 51952, 50317, 61176, 52483, 51638, 51952, 50321, 52504, 69016, 54729, 51794, 51952, 50317, 72874, 51646, 51154, 51237, 50939, 56777, 76801, 52692, 50997, 58503, 65531, 50802, 51394, 78607, 72874, 52610, 51040, 67797, 50802, 51399, 50802, 51887, 51012, 51905, 51834, 50321, 52504, 76801, 55764, 50916, 53194, 50320, 53194, 50332, 51012, 51699, 51012, 51733, 78607, 61176, 50923, 54578, 52827, 50931, 52827, 51339, 52827, 52907, 51407, 51690, 52311, 50872, 61217, 52379, 50798, 76801, 56179, 52143, 65101, 64602, 52483, 51887, 57866, 56649, 69016, 54729, 52316, 65101, 59145, 51646, 51299, 51029, 50872, 53834, 69016, 52692, 51050, 76206, 53194, 50321, 51012, 51201, 64053, 58266, 52610, 51176, 53194, 50312, 53194, 50324, 51012, 51629, 64273, 56649, 69016, 55764, 50956, 53194, 50319, 53194, 50331, 51012, 51811, 64053, 58266, 50923, 57346, 67797, 50802, 51399, 50802, 51905, 50923, 52143, 51009, 51299, 51009, 50885, 50974, 50945, 56681, 76801, 50879, 53502, 58987, 73301, 50824, 51304, 51237, 50872, 58214, 52483, 50847, 53757, 74516, 50879, 79471, 51045, 51001, 51045, 51405, 51045, 51811, 68981, 50868, 59510, 57775, 51040, 50823, 51028, 50823, 51399, 50823, 51905, 70228, 51040, 67797, 50802, 51399, 50802, 51905, 51012, 52143, 51527, 51638, 51527, 50885, 50892, 50964, 56681, 76801, 52692, 50900, 57593, 64244, 72291, 58512, 54397, 52610, 50900, 57593, 64244, 72291, 62880, 57438, 69016, 55764, 51315, 60973, 61537, 50802, 51266, 58512, 59561, 50923, 54197, 51407, 50871, 51407, 50931, 51407, 51887, 51054, 52316, 52311, 51201, 52827, 50872, 70481, 58583, 76801, 56179, 50992, 59510, 52483, 52143, 51054, 50909, 57957, 76801, 54729, 50992, 58214, 51646, 52907, 51761, 50872, 53834, 51237, 50832, 52692, 50871, 53194, 50321, 53194, 50333, 51012, 51690, 65101, 59510, 52610, 50871, 53194, 50321, 53194, 50333, 51012, 51690, 67459, 63097, 76801, 55764, 50916, 53194, 50320, 53194, 50332, 51012, 51733, 65101, 59286, 50923, 56178, 51870, 51001, 51870, 51405, 51870, 51699, 51870, 51811, 51009, 50979, 50974, 51105, 56681, 51054, 51206, 51184, 50832, 50879, 50418, 51638, 75832, 50847, 59561, 67379, 51426, 66037, 51638, 51237, 50939, 57652, 74516, 54729, 50847, 58530, 51646, 50861, 53751, 50323, 53751, 50335, 51237, 51926, 50824, 52481, 51870, 50979, 50892, 51105, 56681, 51090, 50832, 50806, 50442, 51638, 77762, 53449, 50832, 75237, 51794, 51014, 56415, 53194, 50321, 53194, 50333, 51012, 51690, 76057, 51237, 50939, 57652, 50943, 50832, 55764, 51040, 53194, 50317, 53194, 50329, 51012, 51905, 56225, 55367, 50923, 53975, 52827, 50876, 52827, 51062, 52827, 53623, 51870, 51304, 51407, 50992, 50838, 51325, 58583, 69016, 56179, 52481, 51029, 50909, 57161, 52483, 51298, 57652, 72363, 54729, 50909, 59510, 51646, 53623, 51870, 50992, 60386, 76801, 52692, 50900, 79340, 53194, 50328, 51012, 52316, 51012, 51304, 57866, 57161, 52610, 50956, 53194, 50319, 53194, 50331, 51012, 51299, 51012, 51811, 50802, 51298, 52504, 74516, 55764, 50900, 79340, 53194, 50328, 51012, 52316, 51012, 51304, 57866, 58266, 50923, 55435, 52827, 50906, 52827, 51081, 52827, 52602, 51870, 51394, 51407, 50944, 50879, 51213, 56681, 76801, 50879, 50418, 53148, 75832, 50939, 59561, 67379, 51638, 66037, 51794, 51237, 51125, 57652, 69016, 54729, 50939, 55367, 51646, 53599, 51009, 50939, 50901, 51096, 77609, 76801, 50806, 50442, 51699, 55380, 50997, 53194, 50314, 53194, 50326, 51012, 51394, 51952, 50317, 61176, 75237, 51638, 53798, 51040, 67797, 50802, 51399, 50802, 51905, 51012, 51794, 50824, 51257, 52504, 51013, 50832, 55764, 51086, 64726, 76573, 50802, 51558, 51952, 50317, 67484, 50923, 53975, 51407, 50876, 51407, 51062, 51407, 51304, 52827, 52143, 52379, 50909, 50901, 50964, 52379, 50798, 51090, 50832, 56179, 51699, 51952, 50320, 58530, 52483, 51299, 51952, 50323, 53757, 69016, 54729, 51699, 50802, 51149, 58530, 51646, 51299, 57866, 51654, 51090, 50832, 52692, 50900, 57593, 64244, 72291, 51952, 50320, 58894, 75237, 51456, 64598, 51456, 53688, 50871, 67800, 50824, 51339, 50824, 51690, 51237, 51439, 57438, 50896, 51224, 51014, 51456, 52273, 55764, 50965, 69854, 50802, 52128, 50802, 52838, 50802, 51149, 50893, 51224, 66224, 50923, 54594, 60253, 50802, 51487 ]
[ 0, 250, 15855, 1619, 2214, 19, 10, 2842, 9, 19834, 27456, 6, 4246, 10, 20535, 2810, 6, 3152, 6757, 6, 13305, 6, 6755, 12547, 6, 8, 326, 5638, 18026, 4, 20, 2125, 11498, 10, 33928, 8, 33558, 5466, 1328, 6, 19, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 15229, 22848, 10, 15352, 30054, 3222, 5785, 227, 5, 1337, 9571, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50796, 54468, 51585, 52701, 51933, 52067, 52282, 54961, 51538, 52851, 51538, 51913, 51538, 53828, 51422, 61904, 63465, 50835, 51119, 51056, 51777, 50943, 51489, 51056, 51217, 78888, 63296, 61839, 50816, 67722, 50816, 56572, 50816, 66478, 50816, 64159, 50816, 53738, 50816, 60156, 50816, 58115, 50816, 53991, 50816, 62184, 50816, 59045, 50816, 50908, 51694, 52465, 50895, 51119, 51124, 51777, 51124, 51489, 51124, 50946, 51013, 51017, 75736, 71778, 51016, 77627, 50908, 63261, 57845, 50816, 66221, 50816, 66284, 50816, 54354, 50816, 62713, 50816, 50908, 57671, 55799, 75805, 57008, 59445, 50816, 54203, 50816, 52771, 71331, 51119, 51221, 51777, 51162, 51489, 51124, 50946, 51073, 51017, 75736, 61659, 51013, 50439, 75805, 50440, 50816, 50908, 53525, 50982, 57040, 68211, 50816, 57536, 52067, 55531, 72485, 60707, 50446, 52336, 54690, 50982, 60309, 51004, 50448, 53147, 54690, 67421, 52629, 55071, 56663, 52458, 51933, 51702, 51933, 55078, 50806, 52103, 51538, 52489, 51486, 52310, 51538, 53718, 51692, 52006, 51865, 50825, 51512, 51162, 51777, 51159, 51435, 51162, 51396, 51157, 51017, 51159, 50457, 52264, 50806, 53028, 50895, 51512, 51124, 51777, 51124, 51435, 51124, 51396, 51016, 51017, 67949, 51013, 51125, 51016, 50415, 52264, 68542, 56829, 50828, 51512, 50849, 51777, 51110, 51435, 51100, 51396, 51013, 51017, 67949, 51048, 51125, 51073, 57080, 51933, 52058, 51336, 52314, 51356, 52719, 51077, 53152, 51077, 51913, 51077, 55248, 51183, 52006, 51865, 50825, 51119, 51159, 51275, 51159, 52070, 51159, 50946, 70902, 51013, 50944, 50889, 52320, 50895, 51119, 51377, 51275, 51377, 52070, 51124, 50946, 70902, 51016, 50944, 55541, 51016, 50799, 52698, 50879, 52067, 50879, 53152, 50805, 51913, 50805, 51648, 50805, 55815, 50901, 56829, 50828, 51119, 51162, 51275, 51162, 52070, 51110, 50946, 51016, 50848, 50896, 50944, 51048, 50850, 77130, 52058, 50893, 52314, 50893, 52719, 50805, 53152, 50805, 51913, 50805, 55248, 55035, 50631, 51349, 51161, 53093, 51016, 51744, 51896, 54961, 51623, 52851, 51623, 51913, 51591, 53828, 51003, 52006, 51865, 50825, 51119, 51162, 51777, 51159, 51489, 51159, 51217, 78888, 51013, 51017, 72869, 52424, 53542, 50896, 53976, 54042, 50895, 51119, 51189, 51777, 51189, 51489, 51218, 50946, 77742, 75736, 71778, 62682, 53828, 55125, 53266, 51290, 55815, 50873, 56829, 50828, 50946, 51073, 51017, 51290, 79493, 50850, 80071, 61052, 50873, 59373, 51036, 53175, 51696, 52061, 51307, 56844, 51036, 52970, 51036, 53152, 51264, 51913, 51036, 64092, 51449, 61904, 53837, 51949, 50839, 51494, 51359, 51119, 51359, 51777, 51359, 61889, 53423, 50816, 52639, 50801, 54660, 50816, 52844, 77278, 51658, 53404, 53806, 50816, 54926, 50816, 52396, 50801, 50846, 54706, 53268, 50816, 50828, 54281, 51036, 52058, 51696, 51744, 52379, 64434, 51264, 52851, 51264, 52489, 51264, 52310, 51264, 61904, 51700, 63465, 50825, 51512, 51359, 51429, 51359, 51489, 51359, 61889, 53423, 50816, 52639, 50801, 54660, 50816, 52844, 77278, 51658, 53404, 53806, 50816, 54926, 50816, 52396, 50801, 50846, 54706, 53268, 50816, 50828, 54468, 51013, 52701, 50858, 52067, 51014, 55912, 50910, 51913, 50910, 52425, 50910, 53552, 53023, 55610, 50884, 56607, 50887, 56507, 50859, 51119, 51178, 51777, 51110, 51489, 63963, 51374, 51013, 53026, 52275, 50839, 56607, 50887, 56507, 53974, 55610, 50884, 56607, 50859, 56507, 50859, 51119, 50867, 51777, 50857, 51489, 50857, 54585, 51345, 53026, 50835, 56607, 50952, 56507, 60021, 54103, 50805, 52376, 52504, 51239, 50846, 51119, 51255, 51777, 51255, 51489, 51221, 50448, 51349, 53938, 51374, 51013, 52457, 50795, 52522, 51650, 51187, 51792, 53268, 54103, 51058, 52376, 51058, 55610, 50884, 51119, 50867, 51777, 50886, 51489, 50886, 54468, 51013, 53026, 53420, 58413, 50818, 56607, 50859, 56507, 50887, 51119, 51178, 51777, 51178, 51489, 75262, 51374, 51013, 53026, 51949, 50839, 56607, 50887, 56507, 50859, 51361, 50839, 56607, 50859, 56507, 50859, 51119, 50822, 51777, 50874, 51489, 50822, 54585, 50924, 71226, 51187, 50883, 56607, 50952, 56507, 50859, 51119, 50925, 51777, 50925, 51489, 58460, 53572, 51735, 54468, 51016, 55495, 50923, 52332, 51244, 51656, 51244, 53552, 53023, 55610, 50884, 51119, 51178, 51777, 51110, 52070, 51110, 50423, 55495, 78591, 51374, 51013, 53026, 52275, 50839, 54453, 51241, 54082, 79763, 53572, 51021, 55610, 50884, 51119, 50867, 51777, 50857, 52070, 50857, 54585, 51013, 54006, 51033, 52033, 51244, 52255, 51244, 53026, 52875, 54006, 51286, 58413, 50846, 51119, 51255, 51777, 51255, 51489, 68031, 51374, 51013, 53026, 51792, 50839, 54453, 51351, 53059, 51351, 50456, 53572, 54698, 51187, 50884, 51119, 50867, 51777, 50886, 51489, 50886, 54468, 51227, 55495, 50923, 51881, 51244, 52332, 51244, 53552, 53023, 55610, 50884, 51119, 51178, 51777, 51110, 52070, 51110, 50423, 55504, 50882, 50424, 51349, 54392, 51374, 51013, 55495, 51021, 53026, 52275, 50839, 54453, 51115, 54082, 51351, 50432, 53572, 51030, 55610, 50884, 51119, 50867, 51777, 50857, 52070, 50857, 54585, 51013, 54006, 51286, 53100, 53478, 52033, 53478, 53026, 52875, 58413, 50846, 51119, 51255, 51777, 51255, 51489, 68031, 51374, 51013, 53026, 51792, 50839, 54453, 51134, 53059, 51351, 50456, 52701, 50821, 52384, 50882, 54961, 52390, 51187, 50884, 51119, 50867, 51777, 50886, 51489, 50886, 54468, 51013, 52384, 51013, 52384, 51054, 52851, 50943, 53552, 53023, 52225, 52504, 51187, 50884, 51119, 51178, 51777, 51110, 51489, 63963, 51374, 51013, 52148, 51030, 52701, 50879, 54961, 50873, 52430, 50873, 53026, 52275, 50839, 54453, 51391, 53059, 51391, 50432, 52384, 50879, 54006, 50923, 52851, 50873, 53976, 50873, 55610, 50884, 51119, 50867, 51777, 50857, 51489, 50857, 54585, 51345, 52377, 51016, 53572, 51054, 52489, 50889, 53828, 50914, 53026, 52875, 58413, 50846, 51119, 51255, 51777, 51255, 51489, 51221, 50448, 51349, 53938, 51374, 51013, 52698, 50893, 52488, 50911, 53152, 50849, 52886, 50849, 53026, 51792, 50839, 54453, 51363, 53059, 71834, 52384, 50806, 54006, 50923, 52851, 50795, 53976, 50901, 55610, 50884, 51119, 50867, 51777, 50886, 51489, 50886, 59373, 51016, 52058, 51364, 53084, 51551, 52719, 51218, 53541, 51244, 51881, 51244, 53499, 50915, 53552, 53023, 55610, 50884, 51512, 51178, 51429, 51110, 51275, 63963, 51374, 51013, 53026, 52275, 52925, 55610, 50884, 51512, 50867, 51429, 50857, 51275, 50857, 58711, 51013, 53572, 51496, 52033, 53478, 52255, 53478, 53026, 52875, 58413, 50846, 51512, 51255, 51429, 51255, 51275, 68031, 51374, 51013, 53026, 51792, 53268, 56726, 54898, 51187, 50884, 53059, 50862, 54555, 50862, 51512, 50867, 51429, 50886, 51275, 50886, 59373, 51016, 56726, 51030, 53552, 50835, 53059, 50977, 54555, 68531, 55248, 55579, 51187, 50884, 52631, 50810, 54082, 50813, 51512, 51178, 51429, 51110, 51275, 51110, 50423, 53828, 50808, 54453, 50810, 53059, 53906, 51374, 51013, 52886, 50849, 53026, 52275, 50839, 53302, 50977, 52631, 58672, 53828, 52704, 51187, 50884, 54453, 50810, 53059, 50813, 51512, 50867, 51429, 50857, 51275, 56579, 55248, 50859, 52631, 50810, 54082, 50862, 58711, 51013, 56726, 50937, 53026, 50835, 53059, 50977, 54555, 63634, 58413, 50846, 51512, 51255, 51429, 51255, 51275, 68031, 51374, 51013, 53026, 51792, 53268, 53572, 51012, 55610, 50884, 51512, 50867, 51429, 50886, 51275 ]
[ 0, 250, 251, 8, 19448, 3495, 2125, 19, 15855, 16882, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 21979, 8669, 6, 3459, 9590, 6, 8, 2342, 4467, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 1614, 1073, 1020, 20889, 9, 5595, 13410, 228, 2289, 4, 20, 15229, 7630, 6568, 10, 7053, 1619, 5466, 6, 19, 17878, 9, 11098, 8, 657, 4, 20, 33215, 16739, 9, 83, 6, 381, 6, 8, 274, 10431, 119, 406, 3639, 7, 63, 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 ]	[ 57528, 58301, 60599, 63412, 62219, 52774, 51028, 52247, 62086, 74129, 58692, 62219, 52309, 50973, 52322, 59454, 51958, 50310, 60599, 78611, 57024, 62250, 50821, 51114, 54863, 57009, 50821, 51147, 50821, 50799, 59454, 70167, 51226, 50899, 51226, 50989, 51226, 50999, 52774, 57009, 72292, 52247, 62250, 68053, 52309, 58012, 75962, 50980, 50916, 50980, 50965, 50980, 50973, 73901, 50806, 50443, 53042, 53675, 52882, 50896, 55323, 51160, 50453, 55403, 52935, 53958, 80227, 54863, 55330, 50821, 58703, 50821, 54206, 50980, 50989, 71261, 50980, 53767, 50806, 59421, 51285, 64401, 50806, 55330, 52247, 50899, 50980, 50989, 71261, 50980, 52614, 52309, 51086, 50806, 55330, 52322, 50916, 71261, 50980, 50973, 50980, 53958, 50896, 58703, 67114, 51040, 52610, 50916, 60599, 78611, 50896, 55330, 52931, 52614, 50806, 54206, 64110, 60599, 70512, 50896, 52614, 51196, 53879, 51469, 50426, 52328, 52309, 52333, 51685, 50438, 52307, 52692, 52882, 52610, 71433, 52494, 59908, 50931, 52935, 70433, 54568, 50896, 50459, 74231, 57844, 50980, 51028, 73901, 50980, 51617, 52570, 56440, 50806, 52614, 52570, 50426, 50973, 50980, 51028, 73901, 56925, 50916, 52322, 50877, 50980, 51028, 73901, 58648, 50916, 52610, 50877, 50980, 51028, 73901, 57175, 50916, 50806, 57844, 50980, 51028, 73901, 50980, 56440, 52247, 50973, 50980, 51028, 73901, 56925, 50916, 52322, 50877, 50980, 51028, 73901, 58648, 50916, 52610, 50877, 50980, 51028, 73901, 57175, 50916, 56277, 54120, 50821, 56310, 50980, 50973, 50980, 51028, 73901, 50980, 52671, 55419, 50916, 52247, 50973, 50980, 51028, 73901, 50980, 52671, 52309, 51176, 59368, 50806, 52202, 53660, 52155, 66564, 51378, 50980, 50965, 50980, 50973, 50980, 51028, 58648, 51040, 52610, 50989, 71261, 50980, 51028, 50980, 52155, 52931, 51315, 75962, 50806, 53320, 50806, 54868, 50980, 50916, 50980, 50989, 71261, 50980, 54027, 52774, 50899, 50806, 53320, 51160, 56248, 50980, 50989, 71261, 74177, 52155, 57359, 50899, 69988, 52202, 50921, 50437, 54120, 72328, 51360, 50980, 50965, 50980, 50973, 58648, 51040, 52610, 50965, 50980, 50973, 57175, 51040, 50806, 54120, 50806, 54868, 50980, 50916, 50980, 50989, 71261, 50980, 54027, 52774, 50899, 50806, 53320, 52247, 50916, 50980, 50989, 71261, 50980, 52155, 52309, 50899, 50806, 54027, 52322, 51279, 71261, 50980, 51028, 50980, 54027, 56050, 54120, 52692, 51040, 55967, 52155, 51160, 60027, 50980, 51028, 57175, 51040, 50806, 50461, 52671, 50921, 58066, 50980, 50989, 71261, 72544, 50980, 50417, 51596, 51160, 54569, 52247, 50989, 71261, 72544, 50980, 52671, 52309, 50899, 50806, 52155, 50921, 50437, 52671, 56360, 51315, 50980, 50916, 71261, 50980, 50973, 77756, 52202, 51226, 55989, 52610, 50916, 50980, 50965, 50980, 50973, 57175, 51120, 59238, 56277, 52671, 50806, 57497, 50980, 50916, 50980, 50965, 50980, 50973, 50980, 50417, 51789, 59217, 51040, 52247, 50916, 50980, 50965, 50980, 50973, 74177, 51789, 52309, 51040, 55246, 52083, 52877, 51378, 71261, 50980, 51028, 50980, 51789, 56050, 51596, 52692, 51040, 55967, 51596, 51160, 60027, 50980, 51028, 57175, 51040, 50806, 52671, 50806, 58066, 50980, 50989, 72544, 50980, 52671, 52774, 50899, 50806, 52202, 56003, 50989, 72544, 56925, 50899, 50806, 52202, 78340, 52671, 56360, 51120, 71211, 72544, 50980, 50440, 51596, 51226, 55989, 52610, 70433, 50999, 50980, 50453, 50931, 52935, 50902, 54863, 74231, 52671, 50821, 57844, 50980, 51028, 73901, 50980, 52202, 56191, 52155, 50980, 56440, 52247, 50877, 50980, 51028, 73901, 56925, 50916, 50806, 54120, 52322, 51378, 71261, 50980, 51028, 50980, 54027, 56050, 52155, 58648, 51040, 52610, 50877, 50980, 51028, 50980, 50453, 52155, 52935, 51040, 50806, 52202, 50806, 54868, 71261, 50980, 51028, 50980, 52202, 56191, 52671, 51226, 54569, 52247, 50877, 50980, 51028, 56925, 50899, 50806, 51596, 52322, 51324, 50980, 50989, 72544, 50980, 52202, 51585, 55989, 50806, 52614, 52610, 50989, 72544, 50980, 53314, 52931, 50899, 50806, 53839, 50806, 57551, 50980, 50965, 50980, 50973, 50980, 53314, 55419, 50916, 52247, 50965, 50980, 50973, 50980, 53839, 52309, 50916, 50806, 52882, 53585, 51378, 50980, 50989, 71261, 58648, 50916, 50806, 54577, 54526, 51176, 50980, 50965, 50980, 50973, 57175, 50916, 50806, 54568, 50821, 54120, 56277, 52494, 50821, 56310, 50980, 50973, 50980, 51028, 73901, 50980, 54568, 51469, 52671, 65057, 50806, 64092, 51469, 51011, 51285, 56440, 60353, 52247, 50973, 50980, 51028, 73901, 50980, 52671, 58429, 55224, 51176, 59368, 50806, 52202, 53660, 52155, 66564, 51378, 50980, 50965, 50980, 50973, 50980, 51028, 50980, 50944, 50806, 52646, 65980, 51040, 60353, 70233, 50989, 71261, 50980, 51028, 50980, 52155, 52931, 51315, 75962, 50806, 53320, 50806, 54868, 50980, 50916, 50980, 50989, 71261, 50980, 54027, 56747, 50806, 64298, 51196, 51271, 51285, 54569, 50806, 53320, 51160, 50868, 52247, 50916, 50980, 50989, 71261, 50980, 50944, 69460, 52155, 57359, 50899, 69988, 52202, 50921, 50437, 54120, 72328, 51360, 50980, 50965, 50980, 50973, 50980, 50992, 50806, 50700, 50344, 50896, 52022, 65980, 51040, 58429, 52610, 50965, 50980, 50973, 50980, 51125, 50980, 56726, 57024, 51040, 50806, 54120, 50806, 54868, 50980, 50916, 50980, 50989, 71261, 50980, 54027, 56747, 50806, 55815, 51469, 51271, 51285, 54569, 50806, 53320, 58429, 52247, 50916, 50980, 50989, 71261, 50980, 52155, 60338, 56925, 50899, 50806, 54027, 76505, 50946, 50883, 51017, 53294, 51279, 71261, 50980, 51028, 50980, 54027, 60410, 59832, 51285, 50441, 54120, 52692, 51040, 60353, 55967, 52155, 51160, 60027, 50980, 51028, 50980, 50868, 57175, 51040, 69810, 52671, 50936, 58066, 50980, 50989, 71261, 72544, 50980, 51596, 66763, 50806, 61052, 51469, 51415, 51285, 54569, 50806, 52671, 60338, 52247, 50989, 71261, 72544, 50980, 52155, 64579, 52309, 50899, 50806, 52671, 50806, 51840, 52322, 51315, 50980, 50916, 71261, 50980, 50973, 50980, 52202, 51274, 50850, 50806, 51817, 51285, 55989, 50806, 51149, 50806, 52332, 50806, 51656, 52610, 50916, 50980, 50965, 50980, 50973, 50980, 50992, 50980, 52033, 50806, 52255, 52931, 51120, 59238, 50806, 52671, 50806, 51881, 50806, 52332, 50806, 57497, 50980, 50916, 50980, 50965, 50980, 50973, 50980, 58703, 51196, 51789, 77742, 50806, 53100, 50896, 52033, 51285, 52255, 51285, 52022, 51285, 61683, 58429, 52247, 50916, 50980, 50965, 50980, 50973, 50980, 51789, 51160, 50992, 52309, 51040, 68893, 55246, 52083, 52877, 51378, 71261, 50980, 51028, 50980, 57478, 51196, 51789, 76767, 50806, 52332, 51285, 51656, 51285, 52646, 51285, 50441, 51596, 52692, 51040, 56244, 55967, 51596, 51160, 60027, 50980, 51028, 50980, 51125, 50980, 52414, 57175, 51040, 50806, 52671, 50806, 52225, 50806, 58066, 50980, 50989, 72544, 50980, 59421, 51196, 52671, 66763, 50806, 52187, 50980, 51838, 52500, 51415, 51285, 54569, 50806, 52202, 62477, 52247, 50989, 72544, 50980, 50944, 50806, 53129, 50980, 52430, 56925, 50899, 50806, 52202, 62354, 55246, 52671, 52877, 51120, 71211, 72544, 50980, 53879, 51196, 51596, 51285, 50848, 50980, 52036, 50806, 51271, 51285, 55989, 50806, 52225, 52610, 70433, 50999, 50980, 51838, 52500, 50453, 50931, 52935, 68455, 51656, 56277, 74231, 57844, 50980, 51028, 73901, 50980, 53941, 51196, 52671, 60354, 50980, 52033, 51285, 51656, 51285, 52414, 51285, 51011, 51285, 50417, 52202, 53113 ]
[ 0, 250, 765, 37903, 9, 10, 5679, 26709, 3495, 2214, 4246, 41, 21979, 9590, 6, 25044, 139, 10170, 1499, 6, 21979, 8669, 6, 8, 17691, 28430, 6, 278, 11, 10, 155, 73, 306, 86, 6543, 19, 41, 12447, 1001, 20889, 6, 24826, 198, 5, 40286, 272, 8, 211, 406, 11, 5, 762, 9, 272, 538, 6, 7630, 14805, 10, 19448, 8, 8520, 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 ]	[ 75571, 73709, 50960, 51336, 50970, 51336, 51076, 51336, 50426, 52659, 54259, 52419, 54233, 52157, 50873, 50960, 50914, 76079, 51076, 50914, 52278, 51918, 52659, 50873, 51784, 50795, 51034, 51461, 51175, 51136, 50887, 50929, 51013, 51032, 51013, 52285, 50807, 56114, 51486, 54469, 51486, 53326, 51486, 50416, 50998, 51345, 50422, 51273, 57499, 51098, 50893, 51136, 50887, 50929, 51364, 51032, 51364, 51784, 50807, 50428, 50998, 51294, 50432, 51150, 54233, 51216, 50873, 52824, 51918, 51522, 50873, 68533, 67291, 78029, 51784, 50795, 67834, 51016, 50960, 51336, 50970, 51336, 51076, 51336, 51900, 50807, 54174, 51486, 53904, 51486, 53210, 70506, 53210, 51623, 50426, 51273, 50893, 51900, 53182, 51098, 50873, 53326, 53912, 51140, 50873, 50960, 51013, 50970, 51013, 51076, 51013, 52278, 51918, 51705, 50873, 52824, 50795, 53904, 50849, 67834, 51016, 50960, 51933, 50970, 51933, 51076, 51933, 51900, 50807, 54174, 51486, 53904, 51591, 53210, 79216, 51216, 50873, 51802, 53182, 51668, 50873, 53904, 68499, 51389, 50873, 52285, 51918, 51868, 50873, 51802, 50795, 54174, 50849, 68423, 51016, 50998, 51933, 50929, 51933, 51032, 51933, 51950, 50795, 56114, 51486, 54469, 51486, 53326, 66526, 52285, 50795, 52860, 53466, 51984, 50893, 51784, 50807, 53326, 69508, 51216, 54233, 51261, 50873, 52278, 50795, 54469, 56157, 51668, 50873, 51784, 50795, 68423, 50940, 50986, 51013, 50998, 51013, 50929, 51013, 52285, 50807, 56114, 51591, 54469, 51103, 53326, 51189, 50418, 51098, 60872, 53326, 51623, 50422, 51493, 57499, 51461, 50893, 50986, 51364, 50998, 51364, 50929, 51364, 51784, 53182, 51150, 50873, 54469, 51189, 62145, 50873, 52824, 50795, 56114, 55480, 51522, 50873, 65930, 68533, 67291, 51784, 50795, 54469, 50849, 67834, 51175, 50970, 51336, 51076, 51336, 51067, 51336, 51900, 50807, 53904, 51183, 53210, 51692, 52635, 51692, 50422, 51668, 57499, 51150, 50940, 51900, 50807, 53904, 51127, 50430, 51389, 64160, 51098, 58866, 51140, 50873, 50970, 51013, 51076, 51013, 51067, 51013, 51802, 50795, 54174, 60510, 51705, 50873, 51900, 50795, 67834, 51016, 50970, 51933, 51076, 51933, 51067, 51933, 52824, 50983, 53904, 51692, 53210, 51692, 52635, 51692, 50426, 52078, 62138, 52278, 51646, 52157, 50873, 52355, 51918, 52659, 50873, 52824, 50795, 53904, 50849, 51034, 51461, 51343, 50986, 51933, 50998, 51933, 50929, 51933, 51784, 50983, 54469, 50914, 53326, 50914, 52860, 56217, 51493, 54233, 51140, 50873, 51802, 51918, 51705, 50873, 51900, 50795, 67834, 50940, 50970, 51013, 51076, 51013, 51067, 51013, 52824, 50983, 53904, 51790, 53210, 51692, 52635, 51692, 50418, 51668, 65944, 51098, 57499, 51098, 50893, 50970, 51336, 51076, 51336, 51067, 51336, 50432, 51261, 50943, 52278, 50795, 53904, 68499, 52355, 51918, 51668, 50873, 52824, 50795, 54174, 50849, 68423, 51016, 50986, 51103, 50998, 51103, 50929, 51103, 51784, 50918, 56114, 50914, 54469, 50914, 53326, 55973, 51098, 51175, 50434, 51461, 50925, 57280, 51016, 50986, 51013, 50998, 51013, 50929, 51013, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 33928, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 13305, 6, 21979, 8669, 6, 856, 17993, 6, 21979, 9590, 6, 8, 3551, 139, 4, 20, 33301, 16, 702, 23, 41, 178, 5285, 20889, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 272, 538, 4, 20, 33215, 16739, 9, 1918, 6, 211, 406, 6, 8, 272, 35315, 1328, 5, 2214, 6, 2351, 41, 11653, 8, 1372, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50799, 55540, 50921, 51062, 50921, 50417, 55725, 50821, 51146, 53113, 60312, 59050, 62656, 50821, 51430, 50821, 51085, 61805, 50806, 51461, 66808, 60312, 59050, 58429, 56977, 62656, 50821, 51430, 66728, 78919, 52309, 60312, 59050, 62656, 50821, 51430, 50821, 51085, 61805, 50806, 51461, 65294, 55540, 73953, 58429, 56977, 77535, 50921, 50900, 78919, 57419, 55725, 50821, 51146, 53247, 60312, 59050, 62656, 50821, 51430, 50821, 51085, 61805, 50806, 51461, 72208, 60312, 59050, 58429, 56977, 62656, 50821, 51430, 66728, 78919, 52931, 60312, 59050, 62656, 50821, 51430, 50821, 51085, 61805, 50806, 51461, 51055, 51057, 55540, 73953, 58429, 56977, 77535, 50921, 50900, 78919, 58718, 55725, 50821, 51146, 53113, 60312, 72472, 77535, 50821, 51430, 50821, 51279, 72066, 50806, 52419, 66808, 60312, 59050, 58429, 56244, 77535, 50821, 51430, 66728, 59368, 57442, 52309, 60312, 50880, 50946, 77535, 52236, 50332, 52236, 50289, 72066, 50806, 52419, 51055, 50435, 55725, 50921, 51146, 50921, 51057, 60312, 73953, 58429, 79905, 51430, 50921, 50900, 59368, 57442, 58718, 67283, 50821, 51339, 53113, 60312, 63430, 63037, 50821, 71433, 51430, 50821, 51120, 59238, 70420, 66808, 55725, 63430, 56674, 56244, 63037, 50821, 71433, 51146, 69858, 57926, 57442, 52309, 54269, 63430, 63037, 50821, 71433, 51120, 59238, 70420, 51055, 51057, 50848, 56674, 56244, 59238, 57926, 57442, 58718, 55725, 50821, 51146, 53113, 55725, 78750, 63037, 50821, 62679, 73261, 51214, 67899, 64332, 66808, 55725, 76768, 56674, 56977, 63037, 50821, 62679, 73261, 51086, 59238, 57926, 56294, 52309, 60312, 59050, 62219, 50821, 62679, 51430, 50821, 51085, 61805, 50806, 51461, 51055, 51057, 60312, 59050, 58429, 56977, 62219, 50821, 62679, 51430, 66728, 78919, 52774, 68380, 50921, 51217, 50806, 51487, 50921, 51841, 50806, 51315, 50806, 51493, 51055, 50423, 53208, 50921, 50951, 55889, 55715, 73953, 58429, 56977, 68053, 50921, 50900, 78919, 57200, 53208, 50821, 50951, 52686, 67283, 51388, 51085, 62656, 51388, 51062, 51388, 51339, 51388, 51461, 51055, 51057, 60312, 78078, 56977, 61805, 78919, 62656, 77535, 50806, 51430, 52774, 60312, 50921, 51164, 50806, 51430, 50921, 51050, 50806, 51140, 51055, 50423, 55725, 50921, 51146, 55889, 63913, 50921, 50946, 66959, 50806, 51399, 50921, 51027, 59238, 57926, 57200, 55725, 50821, 51146, 52686, 60312, 50921, 50988, 50806, 51430, 50921, 51214, 67899, 64332, 51055, 50435, 55725, 50921, 51146, 50921, 51057, 54269, 50921, 51042, 56674, 56977, 65332, 50921, 51086, 59238, 57926, 56294, 58718, 56268, 50821, 51220, 53113, 55540, 78078, 56977, 61805, 78919, 77535, 76313, 52247, 68380, 51192, 50951, 51192, 51487, 69657, 50761, 50334, 51192, 50999, 51192, 51787, 51192, 51057, 67283, 73735, 50806, 51339, 52774, 60312, 59050, 62656, 50821, 51430, 50821, 51085, 61805, 50806, 51461, 66808, 60312, 59050, 58429, 56977, 62656, 50821, 51430, 66728, 78919, 52309, 60312, 59050, 62656, 50821, 51430, 50821, 51085, 61805, 50806, 51461, 51055, 51057, 55540, 73953, 58429, 56977, 77535, 50921, 50900, 78919, 58718, 55725, 50821, 51146, 53113, 60312, 59050, 62656, 50821, 51430, 50821, 51085, 61805, 50806, 51461, 66808, 60312, 59050, 58429, 56977, 62656, 50821, 51430, 66728, 78919, 52309, 60312, 59050, 62656, 50821, 51430, 50821, 51085, 61805, 50806, 51461, 51055, 51057, 55540, 73953, 58429, 56977, 77535, 50921, 50900, 78919, 58718, 55725, 50821, 51146, 53113, 60312, 72472, 77535, 50821, 51430, 50821, 51279, 72066, 50806, 52419, 66808, 60312, 59050, 58429, 56244, 77535, 50821, 51430, 66728, 59368, 57442, 52309, 60312, 50880, 50946, 77535, 52236, 50332, 52236, 50289, 72066, 50806, 52419, 51055, 50435, 55725, 50921, 51146, 50921, 51057, 60312, 73953, 58429, 79905, 51430, 50921, 50900, 59368, 57442, 58718, 67283, 50821, 51339, 53113, 60312, 63430, 63037, 50821, 71433, 51430, 50821, 51120, 59238, 70420, 66808, 55725, 63430, 56674, 56244, 63037, 50821, 71433, 51146, 69858, 57926, 57442, 52309, 54269, 63430, 63037, 50821, 71433, 51120, 59238, 70420, 51055, 51057, 50848, 56674, 56244, 59238, 57926, 57442, 58718, 55725, 50821, 51146, 53113, 55725, 78750, 63037, 50821, 62679, 73261, 51214, 67899, 64332, 66808, 55725, 76768, 56674, 56977, 63037, 50821, 62679, 73261, 51086, 59238, 57926, 56294, 52309, 60312, 59050, 62219, 50821, 62679, 51430, 50821, 51085, 61805, 50806, 51461, 51055, 51057, 60312, 59050, 58429, 56977, 62219, 50821, 62679, 51430, 66728, 78919, 52774, 68380, 50921, 51217, 50806, 51487, 50921, 51841, 50806, 51315, 50806, 51493, 51055, 50423, 53208, 50921, 50951, 55889, 55715, 73953, 58429, 56977, 68053, 50921, 50900, 78919, 57200, 53208, 50821, 50951, 52686, 67283, 51388, 51085, 62656, 51388, 51062, 51388, 51339, 51388, 51461, 51055, 51057, 60312, 78078, 56977, 61805, 78919, 62656, 77535, 50806, 51430, 52774, 60312, 50921, 51164, 50806, 51430, 50921, 51050, 50806, 51140, 51055, 50423, 55725, 50921, 51146, 55889, 63913, 50921, 50946, 66959, 50806, 51399, 50921, 51027, 59238, 57926, 57200, 55725, 50821, 51146, 52686, 60312, 50921, 50988, 50806, 51430, 50921, 51214, 67899, 64332, 51055, 50435, 55725, 50921, 51146, 50921, 51057, 54269, 50921, 51042, 56674, 56977, 65332, 50921, 51086, 59238, 57926, 56294, 58718, 56268, 50821, 51220, 53113, 55540, 78078, 56977, 61805, 78919, 77535, 76313, 52309, 50761, 50340, 51834, 50292, 50806, 52206, 72676, 77535, 52362, 50332, 52362, 50340, 50923, 51461, 50806, 52323, 53250, 59771, 53077, 57817, 53771, 51056, 50885, 51056, 51085, 65430, 51056, 51461, 51417, 54933, 53116, 53771, 51056, 73948, 79605, 50909, 74669, 61317, 50876, 75065, 51057, 53771, 64263, 51458, 50292, 60581, 50873, 51461, 51056, 54933, 56933, 53077, 53932, 53250, 57609, 54703, 58649, 61027, 57094, 56964, 53946, 54726, 54477, 53077, 53049, 53771, 55109, 51458, 50292, 60581, 50873, 51461, 51056, 54933, 52667, 53771, 56291, 54703, 58649, 61027, 57094, 56964, 53946, 59325, 51057, 53771, 55109, 51458, 50292, 60581, 50873, 51461, 51056, 54933, 53223, 53250, 57609, 54703, 58649, 61027, 57094, 56964, 53946, 54726, 54477, 53077, 53049, 53771, 59157, 51458, 50289, 71942, 50873, 52419, 51056, 54933, 52667, 53771, 57609, 54954, 58649, 61027, 58800, 56964, 53946, 51406, 54665, 53771, 50833, 51057, 53771, 68710, 51458, 50289, 71942, 50873, 52419, 51056, 54933, 56933, 53771, 53932, 53771, 57609, 54954, 58649, 61027, 58800, 56964, 53946, 54726, 54477, 53407, 53049, 53771, 51393, 50297, 51241, 51247, 51241, 51050, 51241, 51140, 51241, 54933, 52667, 53077, 55664, 54954, 66362, 57934, 58800, 59353, 53946, 59325, 51057, 53077, 55664, 54954, 66362, 57934, 58800, 59353, 50873, 54933, 53223, 56213, 54172, 54726, 54477, 53250, 53049, 53077, 60148, 51458, 50287, 69324, 50873, 73964, 54933, 52667, 53077, 55664, 57749, 66362, 57934, 57094, 62879, 59353, 53946, 59325, 51057, 53077, 60148, 51458, 50287, 69324, 50873, 73964, 54933, 53223, 56213, 62764, 57749, 66362, 57934, 57094, 62879, 59353, 53946, 54726, 54477, 53250, 53049, 53077, 60148, 51458, 50287, 69324, 50873, 73964, 54933, 52667, 53077, 55664, 57749, 66362, 57934, 57094, 62879, 59353, 53946, 59325, 51057, 53077, 60148, 51458, 50287, 69324, 50873, 73964, 54933, 53223, 56213, 62764, 57749, 66362, 57934, 57094, 62879, 59353, 53946, 54726, 54477, 53250, 53049, 53077 ]
[ 0, 250, 748, 1879, 15525, 3495, 2214, 19, 10, 25306, 27456, 6, 42, 2125, 7630, 6568, 10, 11739, 9, 1619, 9450, 8, 9066, 2821, 16235, 6, 326, 25963, 19, 10, 11602, 9, 15073, 4, 8504, 11, 5, 762, 9, 12608, 538, 8, 3185, 30, 10, 20902, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 11577, 3222, 5785, 9, 13305, 6, 21979, 8, 3459, 29589, 6, 9590, 6, 8, 21072, 4, 20, 33215, 16739, 9, 163, 428, 6, 12608, 6, 272, 6, 2060, 119, 1176, 406, 6, 8, 12608, 31473, 10, 16141, 12117, 7, 42, 15352, 30054, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 63515, 50796, 56020, 50979, 51072, 50435, 50979, 65196, 50872, 67413, 50847, 50802, 56451, 51346, 51176, 52312, 50288, 51346, 54733, 51346, 51513, 51637, 51536, 51637, 52652, 51637, 50801, 50376, 52054, 56241, 50833, 50416, 50992, 51029, 50422, 50965, 50912, 67030, 51001, 61605, 54325, 51197, 52312, 50300, 51346, 50885, 51346, 50979, 73504, 55595, 63023, 51150, 68519, 50912, 50965, 50912, 67030, 51964, 52423, 56439, 77745, 50992, 52057, 51930, 51346, 51176, 52312, 50283, 51346, 52746, 51346, 52007, 51637, 51223, 51637, 51513, 51637, 50801, 56241, 50833, 50440, 50939, 61409, 50965, 50912, 67030, 51001, 61605, 54823, 51150, 51346, 51197, 52312, 50300, 51346, 50885, 51346, 50979, 51346, 51964, 73504, 53507, 67509, 50909, 61046, 50956, 50912, 50965, 50912, 50876, 57064, 56439, 50912, 53788, 51346, 51085, 52312, 50280, 51346, 51964, 51346, 51368, 51637, 51350, 51637, 51250, 51637, 50801, 56241, 50833, 50416, 50847, 51029, 63686, 50912, 70088, 50861, 61605, 54325, 51214, 52312, 50292, 51346, 51217, 51346, 50988, 73504, 55595, 65197, 50852, 71484, 51984, 50808, 51026, 50912, 74094, 70088, 52533, 52423, 54447, 62127, 57455, 50847, 53925, 52078, 51346, 51085, 52312, 50275, 51346, 51869, 51346, 51915, 51637, 51726, 51637, 51368, 51637, 50801, 56241, 50833, 50440, 50939, 50993, 68121, 50912, 70088, 50861, 61605, 54823, 51984, 51346, 51214, 52312, 50292, 51346, 51217, 51346, 50988, 51346, 52533, 73504, 53507, 50833, 50452, 50992, 59868, 51026, 50912, 74094, 50916, 57064, 56439, 50912, 65331, 51204, 51360, 52312, 50281, 51346, 63716, 51204, 52007, 51637, 51262, 51637, 51781, 51637, 50801, 56241, 67972, 56727, 50422, 51040, 50912, 66398, 50965, 61605, 54325, 51503, 52312, 50293, 51346, 51164, 51346, 51396, 73504, 71457, 50428, 50872, 62751, 52318, 50808, 51176, 50912, 51040, 50912, 66398, 63716, 52423, 56062, 61605, 57455, 50872, 55276, 51522, 51346, 51360, 52312, 50276, 51346, 54733, 51346, 52899, 51637, 51425, 51637, 52007, 51637, 50801, 56241, 50833, 50440, 51017, 51072, 50446, 51040, 50912, 66398, 50965, 61605, 54823, 52318, 50805, 51503, 52312, 50293, 51346, 51164, 51346, 51396, 51346, 63716, 52918, 53507, 50833, 50452, 50872, 51066, 50458, 51522, 50808, 51176, 50912, 51040, 50912, 66398, 54733, 52423, 56439, 50912, 56451, 51346, 51176, 52312, 50288, 51346, 54733, 51346, 51513, 51637, 51536, 51637, 52652, 51637, 50801, 56241, 67972, 50979, 51009, 63173, 50984, 50422, 50965, 50912, 67030, 51001, 61605, 54325, 51197, 52312, 50300, 51346, 50885, 51346, 50979, 73504, 55595, 65197, 50856, 50984, 50434, 51150, 68519, 50912, 50965, 50912, 67030, 51964, 52423, 56062, 61605, 53415, 51930, 51346, 51176, 52312, 50283, 51346, 52746, 51346, 52007, 51637, 51223, 51637, 51513, 51637, 50801, 56241, 50833, 50440, 51396, 61409, 50965, 50912, 67030, 51001, 61605, 54626, 51150, 51346, 51197, 52312, 50300, 51346, 50885, 51346, 50979, 51346, 51964, 73504, 53507, 67509, 51037, 61046, 50956, 50912, 50965, 50912, 50876, 57064, 56439, 50912, 56451, 51346, 51176, 54558, 50288, 51346, 54733, 51346, 51513, 51637, 51536, 51637, 52652, 51637, 50801, 56241, 67972, 50885, 51352, 50422, 50956, 51123, 50965, 51123, 50876, 50368, 51024, 54325, 51197, 54558, 50300, 51346, 50885, 51346, 50979, 73504, 55595, 63023, 51150, 68519, 51123, 50965, 51123, 50876, 51123, 51964, 52423, 56062, 61605, 54793, 51930, 51346, 51176, 54558, 50283, 51346, 52746, 51346, 52007, 51637, 51223, 51637, 51513, 51637, 50801, 56241, 64661, 50956, 51123, 50965, 51123, 50876, 50368, 51024, 54823, 51150, 51346, 51197, 54558, 50300, 51346, 50885, 51346, 50979, 51346, 51964, 73504, 53507, 67509, 50979, 61046, 50956, 51123, 50965, 51123, 50876, 63907, 56062, 61605, 58247, 56727, 56451, 51346, 51176, 54558, 50288, 51346, 54733, 51346, 51223, 51637, 51513, 51637, 51781, 51637, 50801, 56241, 62642, 50956, 51123, 50965, 51123, 50876, 50368, 51024, 54325, 51197, 54558, 50300, 51346, 50885, 51346, 50979, 73504, 55595, 62209, 50979, 51072, 50434, 51150, 68519, 51123, 50965, 51123, 50876, 51123, 51964, 52423, 56062, 61605, 54793, 51930, 51346, 51176, 54558, 50283, 51346, 52746, 51346, 52007, 51637, 51223, 51637, 51513, 51637, 50801, 56241, 50833, 50440, 51017, 51066, 50446, 50956, 51123, 50965, 51123, 50876, 50368, 51024, 54823, 51150, 51346, 51197, 54558, 50300, 51346, 50885, 51346, 50979, 51346, 51964, 73504, 53507, 67509, 50885, 51066, 50458, 50956, 51123, 50965, 51123, 50876, 63907, 56062, 61605, 50912, 55970, 51346, 51197, 54558, 50283, 51346, 57279, 51346, 51436, 51637, 51250, 51637, 51543, 51637, 50801, 56241, 67972, 51037, 51184, 66345, 51123, 50956, 51123, 50861, 50368, 51024, 54325, 51234, 54558, 50295, 51346, 50988, 51346, 51037, 73504, 55595, 63023, 51098, 50808, 50997, 51123, 50956, 51123, 50861, 51123, 53366, 52423, 56439, 54793, 51261, 51346, 51197, 54558, 50278, 51346, 53038, 51346, 52191, 51637, 51368, 51637, 51436, 51637, 50801, 56241, 64661, 50997, 51123, 50956, 51123, 50861, 50368, 51024, 54823, 51098, 51346, 51234, 54558, 50295, 51346, 50988, 51346, 51037, 51346, 53366, 73504, 53507, 63569, 50997, 51123, 50956, 51123, 50861, 63907, 56439, 50912, 55970, 51346, 51197, 54558, 50283, 51346, 57279, 51346, 51368, 51637, 51436, 51637, 51513, 51637, 50801, 56241, 50833, 63173, 50984, 66345, 51123, 50956, 51123, 50861, 50368, 51024, 56779, 50979, 65084, 51234, 54558, 50295, 51346, 50988, 51346, 51037, 73504, 55595, 63023, 51098, 50808, 50997, 51123, 50956, 51123, 50861, 51123, 53366, 52423, 56439, 54793, 51261, 51346, 51197, 54558, 50278, 51346, 53038, 51346, 52191, 51637, 51368, 51637, 51436, 51637, 50801, 56241, 65833, 50872, 61409, 50997, 51123, 50956, 51123, 50861, 50368, 51024, 54823, 51098, 51346, 51234, 54558, 50295, 51346, 50988, 51346, 51037, 51346, 53366, 73504, 53507, 50833, 50452, 50847, 61046, 50997, 51123, 50956, 51123, 50861, 63907, 56439, 50912, 56451, 51204, 51176, 52312, 50288, 51346, 54733, 51204, 51513, 51637, 51536, 51637, 52652, 51637, 50801, 56241, 50833, 50416, 50992, 51029, 63173, 50984, 50422, 50965, 50912, 67030, 51001, 61605, 54325, 51197, 52312, 50300, 51346, 50885, 51346, 50979, 73504, 55595, 65197, 50856, 50984, 50434, 51522, 68519, 50912, 50965, 50912, 67030, 54733, 52423, 56062, 61605, 66144, 50992, 52057, 51930, 51346, 51176, 52312, 50283, 51346, 52746, 51346, 52007, 51637, 51223, 51637, 51513, 51637, 50801, 56241, 50833, 50440, 50939, 63999, 50965, 50912, 67030, 51001, 50912, 50909, 55415, 54626, 51522, 50805, 51197, 52312, 50300, 51346, 50885, 51346, 50979, 51346, 54733, 52918, 53507, 63569, 51930, 68519, 50912, 50965, 50912, 67030, 52746, 52423, 56062, 61605, 58247, 50847, 51009, 53788, 51346, 51085, 52312, 50280, 51346, 51964, 51346, 51368, 51637, 51350, 51637, 51250, 51637, 50801, 56241, 62642, 74094, 70088, 50861, 61605, 54325, 51214, 52312, 50292, 51346, 51217, 51346, 50988, 73504, 55595, 63023, 51984, 50808, 51026, 50912, 74094, 70088, 52533, 52423, 56062, 61605, 77745, 50847, 53925, 52078, 51346, 51085, 52312, 50275, 51346, 51869, 51346, 51915, 51637, 51726, 51637, 51368, 51637, 50801, 56241, 58935, 50939, 51066, 68121, 50912, 70088, 50861, 61605, 54823, 51984, 51346, 51214, 52312, 50292, 51346, 51217, 51346, 50988, 51346, 52533, 73504, 53507, 50833, 50452, 50992 ]
[ 0, 250, 15352, 30054, 5175, 3495, 2214, 19, 10, 2933, 26438, 1264, 6, 278, 11, 5, 762, 9, 12608, 538, 8, 6780, 10, 1769, 20889, 9, 9680, 13410, 228, 2289, 11, 204, 73, 306, 86, 4, 20, 15229, 3905, 10, 33215, 16739, 9, 12608, 6, 274, 6, 272, 6, 163, 428, 6, 8, 274, 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 ]	[ 58375, 50871, 51049, 52227, 55456, 50800, 50748, 50309, 51036, 57839, 51036, 55961, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 67397, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 59191, 54994, 50871, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 53365, 58988, 56027, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 57839, 51036, 55961, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 67397, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 65777, 54994, 50871, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 53365, 58988, 56027, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 50748, 50309, 51036, 57839, 51036, 55961, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 67397, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 59191, 54994, 50871, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 53365, 58988, 56027, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 57839, 51036, 55961, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 67397, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 65777, 54994, 50871, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 53365, 58988, 56027, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 50748, 50309, 51036, 57839, 51036, 55961, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 67397, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 59191, 54994, 50871, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 53365, 58988, 56027, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 57839, 51036, 55961, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 67397, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 65777, 54994, 50871, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 53365, 58988, 56027, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 50748, 50309, 51036, 76549, 57839, 51036, 55961, 51049, 52296, 53289, 51620, 50931, 53365, 51634, 73078, 50931, 51049, 51724, 51050, 67397, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 76549, 59191, 54994, 50871, 51049, 52296, 53289, 51620, 50931, 53365, 51634, 73078, 50931, 51049, 51724, 51050, 53365, 58988, 56027, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 76549, 57839, 51036, 55961, 51049, 52296, 53289, 51620, 50931, 53365, 51634, 73078, 50931, 51049, 51724, 51050, 67397, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 76549, 65777, 54994, 50871, 51049, 52296, 53289, 51620, 50931, 53365, 51634, 73078, 50931, 51049, 51724, 51050, 53365, 58988, 56027, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 50799, 51634, 52296, 53289, 51620, 51634, 51161, 50438, 79151, 52045, 50799, 50748, 50309, 51036, 51528, 52227, 55456, 50800, 52042, 76175, 51068, 50800, 51528, 50800, 52556, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 76175, 51068, 50800, 51528, 50800, 54048, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 51036, 50748, 50309, 76175, 51068, 50800, 51528, 50800, 52556, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 51036, 51634, 52296, 53289, 51620, 51634, 51161, 50438, 51068, 50800, 51528, 50800, 54048, 50918, 50423, 50798, 52262, 50798, 51724, 51068, 50800, 52293, 50918, 51528, 50800, 52042, 51036, 50748, 50309, 76175, 51068, 50800, 51528, 50800, 52556, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 76175, 51068, 50800, 51528, 50800, 54048, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 51036, 50748, 50309, 76175, 51068, 50800, 51528, 50800, 52556, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 51036, 51634, 52296, 53289, 51620, 51634, 51161, 50438, 51068, 50800, 51528, 50800, 54048, 50918, 50423, 50798, 52262, 50798, 51724, 51068, 50800, 52293, 50918, 51528, 50800, 52042, 51036, 50748, 50309, 76175, 51068, 50800, 51528, 50800, 52556, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 76175, 51068, 50800, 51528, 50800, 54048, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 51036, 50748, 50309, 76175, 51068, 50800, 51528, 50800, 52556, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 51036, 51634, 52296, 53289, 51620, 51634, 51161, 50438, 51068, 50800, 79151, 52045, 51528, 50800, 54048, 50918, 50423, 50798, 52262, 50798, 51724, 51068, 50800, 52293, 50918, 57752, 55456, 50800, 50748, 50309, 51036, 51593, 50918, 57839, 61899, 53253, 56039, 51593, 56811, 53253, 50918, 50799, 52074, 50918, 59191, 55834, 53824, 56039, 51839, 50918, 58988, 56811, 53468, 50918, 50799, 51593, 50918, 57839, 61899, 53253, 56039, 51593, 56811, 53253, 50918, 50799, 50748, 50309, 51036, 52856, 50918, 65777, 55834, 60219, 56039, 51839, 50918, 58988, 56811, 53468, 50807, 50799, 51593, 50918, 57839, 61899, 53253, 56039, 51593, 51798, 53253, 50795, 50799, 52074, 50918, 59191, 55834, 53824, 56039, 51839, 50918, 58988, 56811, 53468, 50918, 50799, 51593, 50918, 57839, 61899, 53253, 56039, 51593, 51757, 53253, 50800, 50799, 52856, 50918, 65777, 55834, 60219, 56039, 51839, 50918, 58988, 56811, 53468, 52567, 53468, 50800, 51528, 51049, 52154, 52227, 55456, 50800, 51593, 50918, 57839, 51036, 65250, 56392, 53253, 50918, 51570, 56392, 51593, 50918, 52129, 64824, 51049, 56392, 53253, 50918, 53462, 50800, 51528, 51049, 56392, 52074, 50918, 59191, 50918, 65250, 56392, 53824, 50918, 51570, 56392, 51839, 50918, 58988, 50918, 52129, 64824, 51049, 56392, 53468, 50918, 53462, 50800, 51528, 51049, 56392, 51593, 50918, 57839, 51036, 65250, 56392, 53253, 50918, 51570, 56392, 51593, 50918, 52129, 64824, 51049, 56392, 53253, 50918, 53462, 50800, 53028, 56392, 52856, 50918, 65777, 54994, 50798, 52296, 50798, 61408, 51049, 56392, 60219, 50918, 51450, 51049, 56392, 51839, 50918, 58988, 50918, 52129, 64824, 51049, 56392, 53468, 50807, 51528, 51049, 52154, 52227, 55456, 50800, 51593, 50918, 57839, 51036, 65250, 56392, 53253, 50918, 51570, 56392, 51593, 51918, 50798, 64824, 51049, 56392, 53253, 51923, 50798, 50800, 51528, 51049, 56392, 52074, 50918, 59191, 50918, 65250, 56392, 53824, 50918, 51570, 56392, 51839, 50918, 58988, 50918, 52129, 64824, 51049, 56392, 53468, 50918, 53462, 50800, 51528, 51049, 56392, 51593, 50918, 57839, 51036, 65250, 56392, 53253, 50918, 51570, 56392, 51593, 51820, 50798, 64824, 51049, 56392, 53253, 51754, 50798, 50800, 53028, 56392, 52856, 50918, 65777, 54994, 50798, 52296, 50798, 61408, 51049, 56392, 60219, 50918, 51450, 51049, 56392, 51839, 50918, 58988, 50918, 52129, 64824, 51049, 56392, 53468, 52567, 53468, 50800, 50799, 54747, 51036, 50799, 57178, 56039, 55617, 50918, 50799, 54747, 51036, 50799, 56242, 56039, 55617, 50918, 51528, 52227, 55456, 50800, 54747, 76175, 51068, 50800, 51528, 50800, 57178, 56039, 51068, 50800, 55617, 50918, 69725, 50800, 51528, 50800, 54747, 76175, 51068, 50800, 51528, 50800, 56242, 56039, 51068, 50800, 55617, 50918, 69725, 50800, 51528 ]
[ 0, 250, 765, 6, 15352, 30054, 5175, 2125, 19, 10, 2842, 9, 3495, 6, 4246, 10, 38668, 2236, 483, 7513, 30, 13305, 6, 5921, 3343, 1290, 642, 5255, 6, 3459, 9590, 6, 8, 21072, 6, 70, 8216, 7, 10, 1372, 8, 19448, 5466, 6, 157, 12, 9228, 4560, 13, 2365, 9629, 6, 20307, 23, 10, 7212, 20889, 9, 12730, 741, 1685, 11, 10, 204, 73, 306, 86, 6543, 6, 4212, 11, 5, 762, 9, 83, 538, 6, 19, 10, 33215, 13931, 9, 2060, 119, 406, 6, 83, 6, 163, 401, 6, 83, 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 ]	[ 57739, 53005, 66888, 61411, 50811, 77603, 50975, 53257, 50803, 67533, 50823, 52129, 51052, 50823, 51899, 51052, 50802, 53257, 63428, 54871, 64581, 74913, 50975, 77603, 50802, 53257, 64453, 54496, 55094, 67533, 50823, 52129, 51052, 50823, 51899, 51052, 50881, 50597, 52163, 64581, 74913, 66888, 50803, 77603, 50802, 53257, 64453, 50811, 67533, 50823, 52129, 51052, 68209, 53798, 57003, 54886, 51052, 51052, 50975, 51553, 50881, 50597, 53532, 55635, 50823, 56083, 60111, 54224, 50860, 56413, 64776, 53973, 50823, 51453, 50975, 51456, 50823, 50799, 57003, 50823, 51440, 50918, 52361, 71365, 51337, 53005, 51059, 50852, 58197, 51125, 51337, 50421, 57003, 62643, 50850, 53803, 62250, 50993, 53621, 59080, 51337, 51125, 51337, 61949, 51059, 53257, 56998, 53335, 57102, 55213, 52726, 53204, 54496, 51875, 52952, 58012, 50975, 53204, 50860, 51440, 50818, 52043, 50807, 51944, 51036, 50944, 51337, 74088, 53005, 63523, 53204, 52466, 51052, 63058, 50944, 54185, 60388, 51009, 52361, 51161, 50944, 51337, 74088, 61949, 50975, 53257, 52163, 51875, 51156, 72430, 51875, 50803, 50799, 52607, 52466, 51052, 51059, 50415, 50944, 60209, 61910, 66214, 50420, 52607, 50823, 50944, 54104, 66214, 50424, 50944, 50959, 77603, 50975, 53257, 53300, 50944, 51337, 50850, 51412, 50432, 62250, 50823, 52607, 50811, 53335, 51370, 51066, 50435, 55094, 50436, 52607, 52952, 58012, 50823, 53621, 50802, 52043, 50795, 51929, 50918, 51808, 50918, 50992, 51337, 50935, 51412, 53005, 62186, 62250, 50824, 53335, 50983, 53005, 70048, 53621, 50823, 50992, 54185, 50992, 51337, 61949, 51059, 53257, 57365, 50935, 51337, 50453, 55213, 52884, 53621, 54871, 57003, 50803, 50799, 55871, 50975, 51507, 50975, 52593, 50823, 52435, 50918, 51944, 50918, 51440, 60695, 51337, 51017, 51337, 53005, 51059, 50852, 52244, 57003, 60134, 51017, 53803, 58424, 50975, 51808, 60695, 51337, 51017, 51337, 61949, 51059, 53257, 53300, 53621, 52726, 51875, 52674, 51875, 52952, 60388, 50975, 53204, 50823, 51944, 50818, 51440, 50918, 52361, 60695, 51337, 74088, 53005, 62186, 51875, 51670, 51052, 70048, 53204, 50823, 50944, 54185, 56333, 50993, 51669, 60695, 51337, 74088, 61949, 50975, 53257, 53532, 53204, 50823, 51453, 72430, 53204, 50811, 50799, 56333, 51029, 52607, 50823, 51944, 50918, 51440, 50818, 52043, 50918, 50944, 51337, 74088, 51149, 51337, 53005, 64146, 52607, 60134, 50944, 53803, 74088, 50944, 51337, 51149, 51337, 61949, 50975, 53257, 52119, 52607, 51156, 51066, 50435, 52607, 51670, 52676, 58012, 51059, 53621, 50802, 52043, 50918, 53335, 50918, 50992, 51337, 53005, 50993, 50439, 54797, 50918, 50935, 51337, 52129, 51052, 70048, 53621, 50823, 50992, 54185, 50992, 51337, 50935, 51337, 61949, 51059, 53257, 53532, 53204, 52884, 55213, 54871, 53621, 50811, 50799, 57003, 50823, 51440, 50918, 52361, 50918, 52807, 55541, 51337, 51125, 51337, 53005, 51059, 50852, 58197, 59454, 62420, 57003, 60134, 50850, 53803, 62250, 50975, 53621, 50811, 53335, 55541, 51337, 51125, 51337, 61949, 51059, 53257, 53300, 55213, 52726, 53204, 54496, 51875, 52952, 58012, 50975, 53204, 50823, 51944, 51036, 51440, 51036, 52043, 55541, 51337, 50944, 51337, 53005, 62186, 53204, 50860, 53005, 50993, 50448, 50944, 53140, 60388, 54217, 74088, 61949, 50975, 53257, 57365, 52361, 60695, 51337, 50456, 51875, 51156, 72430, 51875, 50811, 50799, 52607, 50823, 50944, 53983, 51052, 51059, 50417, 57134, 50944, 53728, 52607, 50823, 50944, 55754, 66214, 50944, 50959, 77603, 50975, 53257, 56998, 62250, 50993, 53335, 57102, 74088, 50430, 50944, 75359, 52607, 51156, 51066, 50435, 52607, 51520, 52676, 58012, 52737, 53621, 50976, 50992, 51337, 50935, 51337, 53005, 50993, 50439, 51929, 50918, 51808, 50918, 52043, 51918, 62250, 52299, 51052, 50993, 50445, 53335, 50983, 50447, 53621, 50823, 50992, 54185, 50992, 51337, 50935, 51337, 61949, 51059, 53257, 53532, 55213, 60370, 53621, 52937, 57003, 50811, 50799, 55871, 50975, 52593, 50823, 52435, 50918, 51944, 50918, 51440, 63296, 51337, 50944, 51337, 53005, 51059, 50852, 52244, 57003, 67233, 51017, 53803, 58424, 50975, 51808, 60695, 51337, 51017, 51412, 61949, 51059, 53257, 53300, 53621, 52726, 51875, 54496, 51875, 52057, 60388, 50975, 53204, 50860, 51440, 50918, 51944, 50818, 52361, 60695, 51337, 74088, 53005, 62186, 51875, 51670, 51052, 63058, 53204, 50823, 50944, 54185, 56333, 50993, 51669, 55541, 51337, 50944, 51337, 61949, 50975, 53257, 53532, 53204, 50823, 51453, 72430, 53204, 50811, 50799, 58012, 51059, 52607, 50823, 53714, 50823, 52408, 50823, 52043, 50918, 53005, 51059, 50415, 50944, 51337, 74088, 51149, 51337, 50420, 52607, 50823, 52408, 62643, 50944, 53803, 74088, 50944, 51337, 51149, 51412, 61949, 50975, 53257, 56998, 53134, 54179, 52607, 50811, 53134, 51805, 51066, 50435, 55094, 50436, 52607, 52952, 53621, 50823, 52361, 50918, 50992, 51337, 50935, 51337, 53005, 51066, 50439, 53190, 50823, 52751, 50823, 55013, 50823, 52043, 50918, 54797, 56027, 53621, 50975, 53190, 52466, 51052, 70048, 50992, 53140, 52751, 52791, 51052, 51059, 53257, 57365, 50992, 51337, 50935, 51337, 50453, 54133, 52884, 53621, 59616, 53621, 50803, 50799, 59326, 51407, 61404, 51407, 51944, 51036, 51614, 51036, 51440, 51036, 53005, 51059, 50852, 58197, 52607, 55804, 52607, 53213, 52607, 53537, 52607, 54886, 51052, 51059, 53257, 52119, 52607, 53925, 52607, 68117, 50993, 52945, 51918, 53005, 70048, 53621, 70290, 53565, 51798, 61949, 50975, 53257, 53532, 57003, 52884, 58232, 51156, 50993, 50457, 55102, 57814, 54224, 50811, 50799, 58061, 51059, 64747, 51059, 56333, 50823, 51660, 50918, 51929, 50918, 51808, 50918, 53005, 51059, 52888, 70628, 53621, 53213, 53621, 50823, 55102, 53244, 53621, 54886, 51052, 50975, 53257, 50803, 55102, 54372, 53621, 51156, 50993, 53565, 57907, 53621, 51670, 52676, 57003, 50823, 51440, 52221, 51052, 51066, 53565, 50967, 50439, 59326, 50975, 55871, 50975, 58424, 50975, 51944, 50807, 52361, 53218, 57003, 50860, 53005, 58348, 58061, 50802, 55871, 50802, 53621, 50975, 51660, 50807, 51929, 50807, 51808, 53030, 51052, 51059, 53257, 50803, 52945, 54093, 59326, 52737, 50460, 56417, 50807, 50799, 61404, 54217, 58061, 51059, 52607, 51670, 51052, 51059, 50852, 58197, 51614, 51036, 51944, 51036, 51440, 64163, 52607, 53213, 52607, 53537, 52607, 54886, 51052, 51059, 53257, 52119, 52607, 58212, 52607, 52952, 52607, 52466, 51052, 50993, 52945, 63322, 51875, 51670, 51052, 70048, 53621, 50811, 53565, 51798, 57003, 52791, 51052, 50975, 53257, 58268, 58232, 50811, 51453, 50993, 50457, 54224, 50811, 55102, 57814, 57920, 50811, 50799, 51929, 50918, 51660, 50918, 51808, 50918, 53005, 51059, 50415, 58061, 51059, 64747, 51352, 53274, 76794, 53621, 53213, 53621, 53537, 53621, 54886, 51052, 50975, 53257, 56998, 55102, 50865, 51361, 50993, 52689, 65536, 53621, 54496, 53621, 51670, 52676, 59326, 50975, 55871, 50993, 57003, 51670, 51052, 51066, 50439, 51944, 50807, 51440, 50807, 52361, 50807, 52945, 50967, 50442, 57003, 52940, 57003, 52466, 51052, 58348, 58424, 50993, 62250, 50802, 57920, 59511, 51052, 51059, 53257, 50803, 56806, 60720, 64747, 50975, 51929, 50807, 51808, 50807, 52043, 76679, 53274, 50795, 50460, 58012, 50824, 50799, 59326, 51407, 55871, 52737, 52607, 50811, 51944, 51036, 53005, 51059, 50852, 58197, 51614, 51036, 51440, 51036, 50418, 52607 ]
[ 0, 713, 765, 37903, 9, 5175, 930, 11, 272, 10431, 3694, 16, 20425, 8, 15352, 30054, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 26545, 4, 590, 41, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 13931, 9, 163, 6, 230, 10431, 6, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 51147, 58879, 50965, 55544, 50965, 56298, 51220, 56391, 50965, 57904, 51081, 53892, 50456, 51220, 54529, 62094, 57289, 50972, 56440, 55378, 50916, 57997, 51114, 52985, 50916, 62785, 51147, 58247, 51114, 51852, 52591, 50989, 56427, 50989, 58151, 51081, 57043, 50989, 60979, 51147, 52034, 50456, 51081, 72037, 50989, 51123, 57923, 55041, 50956, 54100, 50956, 55200, 51001, 52513, 50956, 51757, 51147, 56711, 50956, 50974, 57739, 51147, 58879, 50965, 55544, 50965, 56298, 51220, 56391, 50965, 57904, 51081, 53892, 50456, 51220, 54529, 62094, 57289, 50972, 56440, 55378, 50916, 57997, 51114, 52985, 50916, 62785, 51147, 58247, 51114, 51852, 52591, 50989, 56427, 50989, 58151, 51081, 57043, 50989, 60979, 51147, 52034, 50456, 51081, 72037, 50989, 51123, 57923, 55041, 50956, 54100, 50956, 55200, 51001, 52513, 50956, 51757, 51147, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 2635, 8, 15352, 30054, 3495, 1619, 2214, 11, 274, 538, 6, 4246, 10, 11739, 9, 13305, 6, 3459, 8, 21979, 29589, 6, 3459, 9590, 6, 8, 21072, 4, 590, 10, 20889, 9, 3337, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 11098, 8, 657, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 50799, 52031, 51352, 51687, 52783, 51231, 51422, 51414, 52431, 56139, 51313, 56139, 52379, 52562, 51029, 51064, 51029, 51105, 51059, 51206, 57487, 52303, 53435, 51246, 54107, 52303, 53174, 51687, 53174, 51231, 53174, 51136, 53566, 50929, 51029, 51105, 59115, 62729, 51209, 50802, 51246, 51029, 74186, 51065, 51552, 50444, 51772, 50824, 52303, 51283, 51136, 63058, 51687, 51961, 50450, 52031, 50824, 51231, 51576, 50929, 57325, 51414, 77146, 51772, 50802, 75261, 51186, 50923, 50799, 51390, 51352, 51303, 54573, 51231, 52335, 51414, 52335, 52690, 51922, 52690, 52379, 51457, 51449, 79097, 51064, 51029, 79388, 51065, 51573, 50420, 51408, 50802, 51410, 53435, 50960, 54107, 51256, 50802, 51303, 53174, 51231, 53174, 51414, 53174, 51457, 53174, 50970, 53566, 51322, 51407, 51064, 51029, 57416, 51065, 62729, 79097, 51271, 51059, 51065, 51552, 50444, 50960, 54145, 51229, 67720, 57325, 51408, 50803, 51303, 51645, 50456, 51390, 50802, 51231, 51166, 62875, 51271, 66120, 51414, 50874, 79479, 51352, 51327, 50835, 51651, 51592, 61308, 51671, 54872, 52379, 51687, 51748, 51846, 50824, 51032, 51029, 51325, 51059, 51065, 51573, 50420, 51674, 50802, 51687, 53435, 51136, 54107, 51772, 50802, 51476, 53174, 51687, 53174, 51651, 53174, 51169, 53566, 51451, 51407, 51032, 51029, 51325, 59115, 62729, 51846, 50824, 74394, 51065, 51552, 50444, 51476, 51477, 51136, 54145, 51674, 50803, 51651, 51108, 51169, 57325, 51408, 52163, 51334, 50802, 51327, 50901, 75261, 52053, 50923, 50799, 51408, 51009, 51303, 52034, 51414, 51108, 55285, 51148, 51410, 51527, 51303, 51527, 51414, 51527, 51246, 51009, 74186, 51065, 51573, 50420, 51410, 51637, 51067, 65084, 51303, 51330, 50970, 53566, 51457, 51006, 69954, 51186, 59115, 62729, 51674, 51009, 51687, 52519, 53075, 51314, 51687, 51527, 51303, 51447, 51303, 51527, 51651, 52147, 51651, 51527, 51327, 51447, 51327, 51527, 51504, 51009, 51032, 51009, 50945, 51059, 51065, 51552, 50444, 50986, 65027, 51334, 50802, 51476, 55574, 50970, 54098, 51687, 51074, 77135, 57909, 50799, 51408, 51009, 56139, 51447, 52303, 51703, 51687, 51314, 51687, 51527, 51231, 51447, 51231, 51527, 51414, 51490, 51414, 51527, 52562, 51009, 51105, 51059, 51065, 51573, 50420, 50929, 63398, 51334, 50802, 51246, 53566, 75261, 51105, 59115, 62729, 51674, 51009, 51687, 52034, 51651, 51108, 61308, 51148, 51846, 51009, 51325, 51059, 51065, 51552, 50444, 51476, 51637, 51476, 51029, 51687, 51029, 51651, 51029, 51032, 63399, 51687, 51330, 51136, 50824, 51598, 50811, 56463, 55552, 52426, 50976, 65385, 58954, 51327, 51006, 77135, 74902, 69853, 51184, 51414, 52598, 51687, 52598, 56139, 51748, 56139, 52379, 52562, 51184, 51105, 51059, 51065, 51573, 52576, 50860, 61641, 56111, 52303, 53435, 50929, 51009, 52576, 50860, 61641, 54675, 51687, 53174, 51231, 53174, 52303, 53174, 51246, 51059, 52576, 50860, 61641, 54684, 52303, 53486, 51136, 51029, 51105, 59115, 51021, 52241, 50811, 59744, 54496, 61641, 51029, 52576, 73018, 51687, 52212, 51414, 51490, 51207, 51009, 74186, 51065, 51552, 50444, 50929, 65027, 52303, 74701, 71217, 51687, 52212, 51414, 51490, 51246, 54098, 56463, 60271, 53723, 50811, 76308, 51184, 51303, 52048, 51231, 51330, 51414, 51637, 51457, 51965, 52690, 51243, 52690, 52379, 51207, 51407, 51067, 51352, 79388, 51065, 51573, 61641, 50860, 52576, 62420, 51410, 51878, 51410, 53435, 66123, 61641, 50811, 52576, 54433, 52576, 50993, 61641, 59101, 51303, 53174, 51231, 53174, 51414, 53174, 51457, 53174, 50970, 71030, 51303, 52263, 50432, 51231, 52011, 51064, 50824, 57416, 51065, 51021, 52241, 50860, 59744, 55276, 51414, 51797, 50960, 51029, 51271, 51059, 51065, 51552, 52576, 51066, 61641, 63523, 51410, 52056, 50970, 54145, 51303, 72464, 51414, 52063, 51064, 54098, 51457, 50925, 62875, 51271, 66120, 51598, 50811, 56463, 50811, 73409, 52048, 51651, 51330, 51327, 51637, 61308, 51243, 54872, 52379, 51846, 51029, 51032, 51029, 51325, 51059, 51065, 51573, 52576, 50860, 61641, 56111, 51476, 51878, 51687, 53435, 51136, 51029, 52426, 50811, 65385, 54381, 52426, 50802, 65385, 52038, 51476, 53174, 51687, 53174, 51651, 53174, 51169, 61536, 51687, 52263, 50429, 52426, 50860, 65385, 54684, 51651, 52011, 51549, 51009, 51325, 59115, 74889, 65385, 51009, 52426, 73018, 51327, 51797, 51846, 51029, 74394, 51065, 51552, 50444, 51476, 52056, 51136, 54145, 51687, 72464, 51327, 52063, 51169, 54098, 75261, 52053, 66120, 57558, 50811, 50799, 51457, 50835, 51414, 51592, 55285, 51671, 52303, 52379, 51303, 51748, 51246, 50824, 51067, 51029, 74186, 51065, 51573, 52426, 50860, 65385, 56111, 51303, 53435, 50970, 50824, 51598, 50860, 56463, 54675, 51410, 53174, 51303, 53174, 51414, 53174, 51064, 50824, 51632, 50860, 57558, 54684, 51067, 51029, 51186, 59115, 51021, 56463, 50811, 51598, 54241, 51632, 51009, 57558, 58769, 51246, 50824, 51720, 51059, 51065, 51552, 50444, 51410, 51477, 50970, 54145, 51414, 51108, 51064, 54098, 51457, 50901, 68356, 51720, 66120, 51632, 50811, 57558, 50811, 69853, 51407, 51414, 51080, 56139, 51922, 56139, 52379, 52303, 51671, 51687, 52727, 51231, 51671, 52562, 51407, 51064, 51352, 51105, 51059, 51065, 51573, 51875, 51066, 61641, 68107, 52303, 53435, 51246, 54107, 51687, 53174, 51231, 53174, 51414, 53174, 51136, 50824, 52576, 50860, 61641, 54684, 73560, 51105, 59115, 51021, 52241, 50860, 59744, 55276, 51981, 50981, 51246, 51029, 51186, 58840, 51552, 61641, 50803, 52576, 61870, 58578, 52940, 51209, 51029, 51136, 50824, 51598, 50860, 56463, 62568, 51414, 51199, 73560, 51105, 54178, 51246, 50802, 62645, 76308, 51184, 51457, 51004, 51231, 51592, 51414, 52222, 52690, 51671, 52690, 52379, 51303, 51748, 51207, 51029, 51067, 51029, 79388, 51065, 51573, 52576, 50811, 61641, 55804, 52576, 50860, 61641, 56111, 51410, 53435, 50960, 64381, 52241, 50993, 59744, 59101, 51303, 53174, 51231, 53174, 51414, 53174, 51457, 53174, 50929, 53566, 51064, 51029, 57416, 51065, 51021, 51598, 50811, 56463, 54496, 61641, 51009, 52576, 73018, 50960, 51029, 51271, 51059, 51065, 51552, 50444, 51410, 51477, 50929, 54145, 51231, 51108, 51064, 54098, 51414, 50901, 61286, 51271, 66120, 56463, 50811, 73409, 52048, 51651, 51330, 51327, 51637, 61308, 51243, 54872, 52379, 51846, 51009, 51325, 51059, 51065, 51573, 52576, 50802, 61641, 52410, 51476, 51878, 51687, 53435, 64193, 52426, 50860, 65385, 54675, 51687, 53174, 51651, 53174, 51327, 53174, 77135, 52426, 50860, 65385, 66057, 51687, 52263, 50432, 51651, 52011, 51032, 50824, 51325, 59115, 51021, 52426, 50811, 65385, 54496, 52426, 50993, 65385, 61445, 51327, 51797, 51136, 51009, 52053, 58840, 51552, 50444, 51476, 52056, 51032, 50824, 51632, 50860, 57558, 54554, 51687, 72464, 51327, 52063, 51169, 50824, 51325, 54178, 64193, 72381, 51632, 50860, 57558, 50860, 66513, 52519, 55285, 51314, 51410, 51527, 51303, 51527, 51414, 51447, 51414, 51527, 51457, 52147, 51246, 51009, 74186, 51065, 51573, 65385, 50860, 52426, 52410, 51067, 51059, 51598, 50860, 56463, 54675, 51410, 55574, 50970, 50824, 51507, 50860, 55635, 54684, 51303, 51074, 69954, 51186, 59115, 51021, 55635, 50811, 51507, 54241, 52343, 51407, 60382, 51732, 50438, 51687, 52034, 51231, 51108, 56139, 51148, 52303, 51527, 51687, 51527, 51231, 51527, 52562, 51009, 51105, 51059, 51065, 51552, 50444, 52303, 51637, 50929, 65027 ]
[ 0, 250, 5679, 26709, 8, 19448, 25771, 2214, 4246, 10, 13305, 8, 38668, 11212, 6, 278, 11, 10, 2635, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 2125, 16, 11, 5, 762, 9, 230, 538, 6, 19, 10, 33215, 16739, 9, 274, 6, 272, 6, 8, 230, 4, 20, 33535, 5466, 8, 23975, 2369, 18795, 146, 24, 157, 12, 9228, 4560, 13, 822, 4391, 50, 2351, 10, 31220, 1737, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50439, 56698, 52059, 50445, 53248, 51337, 50453, 53075, 51079, 50460, 52326, 52431, 52591, 51476, 51680, 50427, 51303, 51878, 50436, 51981, 51480, 50446, 52287, 51346, 50454, 52684, 50362, 50410, 53465, 52337, 55796, 65527, 50455, 51981, 51692, 53075, 51381, 50461, 51476, 51797, 55753, 51303, 51194, 50428, 51249, 51680, 50436, 51327, 51535, 50443, 51825, 51110, 50451, 51981, 51238, 50459, 52287, 51379, 53069, 55390, 51242, 53171, 51714, 52684, 58651, 55314, 56515, 50425, 54369, 51470, 50431, 52326, 51174, 50437, 51476, 51592, 50444, 51465, 51680, 50451, 51249, 56458, 50460, 52287, 51419, 55746, 51981, 51101, 50433, 53655, 51101, 51825, 51422, 50435, 52684, 53753, 55796, 59189, 50436, 53679, 53898, 50439, 52326, 51174, 50445, 51410, 55437, 51303, 52222, 50459, 51249, 51680, 53069, 51981, 51400, 50428, 52287, 51159, 50439, 53171, 51116, 50449, 55796, 68086, 53361, 54249, 53679, 53259, 50450, 54310, 52071, 50451, 55285, 51079, 50457, 53075, 50866, 71965, 68582, 51410, 51448, 50426, 51303, 51328, 50433, 51414, 51172, 50441, 51303, 51419, 50442, 53171, 51241, 50452, 51414, 76172, 52932, 51173, 51809, 52684, 55844, 53465, 54249, 50417, 53075, 51233, 52287, 53753, 53171, 52919, 50423, 51476, 71202, 51303, 51079, 50436, 51476, 52059, 50443, 51303, 52482, 50450, 51476, 53161, 50457, 51303, 52034, 52177, 51476, 51101, 50425, 56139, 51243, 51981, 51449, 52932, 51103, 50427, 53361, 53487, 56679, 53651, 50431, 52303, 50873, 50436, 51687, 50849, 50442, 52303, 51328, 50448, 51687, 52482, 50449, 56822, 51477, 56336, 51592, 50456, 52303, 51645, 52177, 51687, 51642, 52932, 51048, 50425, 52303, 57181, 51981, 51592, 50435, 52287, 51518, 56698, 50972, 53465, 53413, 52684, 53201, 50436, 53171, 52140, 55796, 52829, 50441, 53248, 67139, 52326, 70792, 51476, 51101, 50457, 51303, 51277, 51601, 51476, 51242, 50422, 51825, 51241, 51303, 51542, 50430, 51476, 51194, 50437, 53075, 53801, 52287, 51945, 50444, 51476, 51242, 50451, 51303, 51097, 50457, 51476, 51242, 51601, 52326, 51100, 50421, 51476, 51111, 50428, 51327, 51241, 50433, 54369, 72737, 51825, 51714, 50441, 53655, 51212, 55796, 55844, 53679, 51717, 50447, 52326, 67763, 51410, 51884, 50460, 51303, 51309, 53069, 51249, 51642, 50427, 51303, 52482, 50435, 52287, 52195, 51249, 51411, 50444, 51303, 50959, 50455, 53361, 52644, 55796, 54171, 50456, 52932, 50914, 55285, 50892, 50799, 53075, 50849, 50419, 51457, 66128, 52303, 67175, 51410, 52482, 50433, 51818, 51141, 51476, 52783, 50441, 51465, 53957, 50449, 55314, 51447, 56336, 73173, 51231, 51108, 52287, 51413, 67718, 51058, 50424, 53679, 55844, 50425, 54310, 52071, 53655, 50849, 52684, 60130, 50426, 55796, 52727, 50431, 52326, 50987, 50437, 51410, 50987, 50442, 51303, 52015, 50449, 51249, 51753, 50456, 51457, 52482, 51601, 51249, 51534, 53171, 50995, 50423, 51457, 78555, 54310, 73058, 53465, 51313, 55314, 51748, 50431, 53171, 51291, 52326, 51121, 50437, 51476, 50849, 50442, 51465, 68527, 51249, 51242, 50453, 52287, 51362, 51465, 60977, 51249, 51309, 53069, 51465, 51177, 51818, 51351, 50427, 51476, 60085, 51825, 51685, 55285, 61647, 53361, 66898, 53679, 52062, 55796, 52222, 50440, 53075, 60204, 51410, 54058, 51303, 50892, 50455, 51414, 50866, 50460, 51303, 51242, 51457, 51110, 53069, 51414, 50974, 51825, 70006, 51303, 50908, 54310, 51095, 50433, 53171, 53753, 53248, 50838, 55314, 58651, 56336, 58651, 50439, 52690, 51174, 50445, 51476, 51337, 50451, 51465, 51080, 50460, 51231, 51277, 53069, 51414, 52011, 50428, 51231, 53096, 50436, 52287, 50905, 50437, 51465, 70546, 51981, 62617, 53075, 52062, 52287, 53520, 53465, 51922, 55796, 55856, 50448, 52684, 55597, 50453, 51476, 51166, 50460, 51303, 50845, 52177, 51476, 60522, 51303, 76575, 51476, 57775, 51303, 51178, 50441, 51476, 50977, 50448, 53655, 50893, 53679, 53201, 50454, 52326, 50873, 50460, 51410, 50977, 52177, 51303, 51749, 50424, 51249, 51481, 50430, 51981, 51351, 50431, 51457, 51797, 50438, 51249, 51121, 50445, 51825, 51178, 51303, 61081, 51981, 51605, 55285, 70842, 55796, 52988, 53361, 54143, 50458, 53075, 50977, 51809, 52303, 51101, 50422, 51410, 50892, 50428, 51303, 51277, 50435, 51410, 51423, 50443, 51303, 51277, 51825, 79766, 51410, 64074, 55314, 54249, 50459, 53248, 51277, 52287, 50914, 53465, 52096, 56336, 54249, 52177, 52690, 66910, 53171, 51623, 51476, 69353, 51465, 51047, 50436, 51231, 51642, 50443, 51414, 51775, 50451, 54310, 51189, 51231, 53010, 50459, 51465, 50904, 53069, 52684, 53201, 55796, 62912, 52287, 52382, 50421, 56698, 51254, 50425, 53248, 68628, 52326, 51058, 50434, 51476, 50845, 50440, 51303, 50901, 50445, 51476, 51178, 50452, 51303, 51101, 50459, 51476, 50812, 52478, 53655, 50911, 53679, 55408, 55796, 59828, 50423, 52326, 50937, 50428, 51410, 50977, 54310, 51003, 50433, 51303, 50974, 50440, 51249, 50974, 52287, 50943, 50446, 51303, 51101, 50453, 51249, 51212, 51825, 51191, 50460, 51303, 50857, 52591, 51457, 51623, 55285, 50905, 53361, 54373, 50425, 53075, 50978, 50431, 52303, 54378, 51410, 51283, 50441, 51303, 70591, 51818, 51111, 51414, 51079, 50448, 52693, 51703, 53679, 51703, 50453, 51303, 51481, 51825, 51100, 50460, 51414, 50941, 51457, 51095, 53069, 51825, 51623, 53248, 51481, 50425, 52690, 51058, 50427, 53679, 53380, 55796, 54249, 50431, 51476, 60465, 51465, 51662, 50445, 51981, 51422, 50446, 51231, 54861, 50453, 51327, 54848, 50461, 51231, 51312, 51809, 56336, 54557, 50417, 53679, 51080, 50423, 51327, 73632, 56698, 71648, 51825, 51675, 50439, 53465, 52122, 55796, 52720, 50440, 53248, 51524, 50445, 52326, 51166, 50451, 51476, 50974, 50457, 51303, 51006, 61323, 50845, 51981, 52115, 52287, 50893, 51303, 54335, 51981, 51060, 51476, 53387, 51825, 51623, 50433, 52326, 79881, 51476, 51242, 50441, 52684, 52204, 50445, 51303, 52985, 51476, 55670, 53075, 51134, 52326, 50943, 50461, 51981, 50967, 51476, 51203, 55753, 52287, 50980, 51303, 50878, 50428, 54369, 76000, 53171, 62803, 53655, 51060, 54310, 51896, 50439, 53679, 53753, 50441, 52326, 80059, 51410, 51006, 50452, 51303, 51642, 50460, 51249, 51481, 52478, 51303, 51412, 53171, 51363, 50427, 51249, 51172, 52287, 50943, 50435, 51303, 67203, 53171, 62063, 54310, 51896, 53655, 73697, 52326, 50866, 50454, 51410, 51058, 50455, 53679, 51692, 50459, 51303, 51481, 53069, 51249, 51277, 55796, 52015, 50425, 51303, 77008, 51825, 51534, 50432, 52684, 51318, 50433, 51249, 51481, 50434, 51981, 51267, 50440, 51303, 53524, 52287, 50938, 50448, 56139, 51314, 53361, 51293, 56679, 51243, 56336, 52720, 50449, 51981, 51486, 50455, 52303, 51079, 50461, 51687, 51079, 52478, 52303, 73639, 52690, 60412, 52303, 51100, 50435, 51980, 51204, 51687, 51328, 50442, 52303, 50901, 50449, 56139, 55586, 51981, 51183, 52690, 51309, 53361, 51449, 50450, 56679, 51449, 50455, 52303, 51277, 50461, 51687, 51432, 53069, 52303, 69115, 51687, 50838, 52932, 51204, 50427, 53361, 55174, 50430, 52303, 51337, 50438, 51981, 50914, 51687, 67446, 52303, 56086, 52287, 51933, 56698, 50905, 50455, 55796, 52121, 50456, 53248, 73562, 52326, 51174, 52478, 51476, 50974, 50424, 51303, 59910, 51476, 51101, 50436, 53171, 50991, 50437, 51303, 50905, 50442, 51476, 61189, 56461, 50924, 50449, 54310, 51141, 53679, 51151, 52684, 51445, 50450, 53655, 51242, 50455, 52326, 51058, 50461, 51410, 51142 ]
[ 0, 250, 2635, 12, 20764, 5175, 2214, 19, 25771, 4785, 6, 4246, 21979, 8669, 6, 38668, 11212, 6, 21072, 6, 21979, 9590, 6, 8, 228, 438, 4781, 2088, 6757, 6, 2351, 10, 19448, 8, 15352, 30054, 5466, 19, 10, 11602, 9, 2365, 8, 1619, 23338, 293, 6, 278, 11, 5, 762, 9, 274, 3694, 19, 10, 132, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 79296, 51057, 51261, 51172, 53271, 51172, 70009, 59638, 50970, 59355, 53004, 51131, 51172, 67363, 50970, 51172, 50903, 53591, 51261, 52580, 51140, 51172, 51504, 51172, 50903, 54889, 70009, 59638, 50970, 53052, 50903, 53720, 51140, 50827, 51131, 51172, 67363, 50970, 51172, 51057, 51261, 51172, 53271, 51172, 50903, 53004, 51131, 51172, 67363, 50970, 51172, 50903, 53591, 51261, 52580, 51140, 51172, 51504, 51172, 50903, 54889, 70009, 59638, 50970, 53052, 50903, 53720, 51140, 50827, 51131, 51172, 67363, 50970, 51172, 51057, 52735, 51490, 52886, 51490, 53718, 52720, 51261, 51172, 53271, 51172, 54978, 65345, 60433, 54225, 56115, 66226, 53004, 51131, 51172, 67363, 50970, 51172, 50903, 59735, 51342, 53591, 51261, 54352, 73526, 52580, 51140, 51172, 51504, 62123, 54225, 54889, 70009, 59638, 50970, 59355, 73526, 52739, 51287, 51342, 53720, 51140, 50827, 51131, 51172, 51136, 51172, 51169, 62123, 73526, 50827, 51057, 53188, 51490, 52626, 51490, 51140, 51172, 51504, 51172, 57454, 51381, 50801, 60433, 59735, 51035, 56115, 66226, 53004, 51131, 51172, 51136, 51172, 51169, 51172, 50903, 59735, 51035, 64274, 53591, 51140, 54352, 73526, 52580, 51150, 51172, 51725, 62123, 59735, 51035, 54889, 51131, 50827, 71546, 51169, 50827, 57355, 59355, 73526, 52739, 72329, 64274, 53720, 51150, 50827, 51131, 51172, 67363, 50970, 51172, 54978, 51680, 50801, 73526, 50827, 51057, 52430, 51748, 52886, 51490, 51261, 51172, 53271, 62123, 60433, 59735, 51035, 56115, 66226, 53004, 51131, 51172, 67363, 50970, 51172, 50903, 59735, 51035, 64274, 53591, 51261, 54352, 73526, 52580, 51560, 51172, 58397, 62123, 59735, 51035, 54889, 70009, 59638, 50970, 59355, 73526, 52739, 72329, 64274, 53720, 51560, 50827, 51131, 51172, 51136, 51172, 50970, 62123, 73526, 50827, 51057, 54339, 51490, 51668, 51172, 53092, 51172, 54377, 51381, 50801, 60433, 59735, 51035, 56115, 66226, 53004, 51131, 51172, 51136, 51172, 50970, 51172, 50903, 59735, 51342, 53591, 51668, 54352, 73526, 52580, 51705, 51172, 68643, 62123, 54225, 54889, 70009, 51136, 50838, 69463, 54067, 59355, 55249, 54702, 52739, 51287, 51342, 53720, 51705, 50827, 51846, 51172, 51136, 51172, 71426, 54978, 51680, 50801, 73526, 50827, 51057, 53188, 51748, 52626, 51490, 51140, 51172, 51504, 62123, 60433, 54225, 56115, 66226, 53004, 51846, 51172, 51136, 51172, 71426, 50903, 59735, 51342, 53591, 51140, 54352, 73526, 52580, 51150, 51172, 51725, 62123, 54225, 54889, 51846, 50838, 51136, 50838, 50929, 59355, 73526, 52739, 51287, 51342, 53720, 51150, 50827, 51846, 51172, 67363, 50929, 62123, 73526, 50827, 51057, 52886, 51490, 51261, 51172, 53271, 51172, 54067, 51381, 50801, 60433, 59735, 51035, 56115, 66226, 53004, 51846, 51172, 67363, 71426, 50903, 59735, 51035, 64274, 53591, 51261, 54352, 73526, 52580, 51140, 51172, 51504, 62123, 59735, 51035, 54889, 51846, 50838, 59638, 60384, 54978, 59355, 73526, 52739, 72329, 64274, 53720, 51140, 50827, 51246, 51172, 67363, 71426, 54699, 51680, 50801, 73526, 50827, 51057, 51838, 51490, 52137, 51490, 52735, 51748, 51493, 51172, 51574, 62123, 60433, 59735, 51035, 56115, 66226, 53004, 51246, 51172, 67363, 71426, 50903, 59735, 51035, 64274, 53591, 51493, 54352, 73526, 52580, 51261, 51172, 53271, 62123, 59735, 51035, 54889, 77222, 59638, 50929, 59355, 73526, 52739, 72329, 64274, 53720, 51261, 50827, 77465, 51078, 51172, 51064, 62123, 73526, 50827, 51057, 51711, 51490, 53129, 51748, 51560, 51172, 52562, 51172, 54978, 51381, 50801, 60433, 59735, 51035, 56115, 66226, 53004, 77465, 51078, 51172, 51064, 51172, 50903, 59735, 51342, 53591, 51560, 54352, 73526, 52580, 51261, 51172, 53271, 62123, 54225, 54889, 62770, 78249, 79298, 59659, 59355, 55249, 54702, 52739, 51287, 51342, 53720, 51261, 50827, 77465, 51078, 51172, 51076, 51172, 54699, 51680, 50801, 73526, 50827, 51057, 51838, 51490, 53499, 51748, 51389, 51172, 51444, 62123, 60433, 54225, 56115, 66226, 53004, 77465, 51078, 51172, 51076, 51172, 50903, 59735, 51342, 53591, 51389, 54352, 73526, 52580, 51216, 51172, 52012, 62123, 54225, 54889, 62770, 78249, 51076, 59355, 73526, 52739, 51287, 51342, 53720, 78480, 51311, 51172, 50970, 51172, 51169, 62123, 73526, 50827, 51057, 52036, 51490, 53188, 51490, 51098, 77858, 51172, 54978, 51381, 50801, 60433, 59735, 51035, 56115, 66226, 53004, 51311, 51172, 50970, 51172, 51169, 51172, 50903, 59735, 51035, 64274, 53591, 51098, 54352, 73526, 52580, 51389, 51172, 51444, 62123, 59735, 51035, 54889, 76441, 69463, 77217, 59659, 59355, 73526, 52739, 72329, 64274, 53720, 51389, 50827, 51246, 51172, 50998, 73102, 54699, 51680, 50801, 73526, 50827, 51057, 51711, 51748, 52225, 51490, 52430, 52720, 51150, 51172, 51725, 62123, 60433, 59735, 51035, 56115, 66226, 53004, 51246, 51172, 50998, 73102, 50903, 59735, 51035, 64274, 53591, 51150, 54352, 73526, 52580, 51098, 77858, 62123, 59735, 51035, 54889, 77222, 65026, 51169, 59355, 73526, 52739, 72329, 64274, 53720, 51098, 50827, 51131, 51172, 51136, 51172, 50929, 62123, 73526, 50827, 51057, 52340, 51490, 51140, 51172, 51504, 51172, 54978, 51381, 50801, 60433, 59735, 51035, 56115, 66226, 53004, 51131, 51172, 51136, 51172, 71426, 50903, 59735, 51342, 53591, 51140, 54352, 73526, 52580, 51150, 51172, 51725, 62123, 54225, 54889, 70009, 51136, 50838, 60384, 59659, 59355, 55249, 54702, 52739, 51287, 51342, 53720, 51150, 50827, 51131, 51172, 67363, 50970, 51172, 54699, 51680, 50801, 73526, 50827, 51057, 51838, 51490, 52036, 55392, 51261, 51172, 53271, 62123, 60433, 54225, 56115, 66226, 53004, 51131, 51172, 67363, 50970, 51172, 50903, 59735, 51342, 53591, 51261, 54352, 73526, 52580, 51140, 51172, 51504, 62123, 54225, 54889, 70009, 59638, 50970, 59355, 73526, 52739, 51287, 51342, 53720, 51140, 50827, 51246, 51172, 51136, 51172, 51078, 62123, 73526, 50827, 51057, 52340, 51490, 51668, 51172, 53092, 62123, 60433, 55991, 50827, 53214, 53004, 51246, 51172, 51136, 51172, 51078, 51172, 50903, 59735, 51035, 53591, 51668, 54352, 54702, 52580, 51705, 51172, 52028, 62123, 65232, 52984, 50579, 55991, 54889, 77222, 51136, 50838, 51078, 59355, 73996, 54702, 52739, 50920, 53720, 51705, 50827, 51131, 51172, 67363, 50970, 62123, 73526, 50827, 51057, 51838, 51490, 51261, 51172, 53271, 51172, 54377, 62123, 60433, 54225, 56115, 66226, 53004, 51131, 51172, 67363, 50970, 51172, 50903, 59735, 51342, 53591, 51261, 50827, 54377, 54352, 73526, 52580, 51140, 51172, 51504, 51172, 54377, 54352, 54225, 54889, 70009, 59638, 69463, 54377, 59355, 73526, 52739, 51287, 51342, 53720, 51140, 50827, 51246, 51172, 50998, 73102, 54067, 54352, 73526, 50827, 51057, 51711, 51490, 52225, 51490, 51150, 51172, 51725, 51172, 54377, 55056, 60433, 59735, 51035, 56115, 66226, 53004, 51246, 51172, 50998, 73102, 54377, 59355, 59735, 51035, 64274, 53591, 51150, 54352, 73526, 52580, 51140, 51172, 51504, 51172, 54067, 55056, 59735, 51035, 54889, 62770, 65026, 50929, 59355, 73526, 52739, 54377, 51381, 72329, 64274, 53720, 51140, 50827, 51131, 51172, 67363, 50970, 62123, 73526, 50827, 51057, 51838, 51490, 52036, 51490, 51261, 51172, 53271, 62123, 60433, 59735, 51035, 56115, 66226, 53004, 51131, 51172, 67363, 50970, 51172, 50903, 59735, 51035, 64274, 53591, 51261, 50827, 54377, 55056, 73526, 52580, 51140, 51172, 51504, 62123, 59735, 51035, 54889, 70009, 59638, 69463 ]
[ 0, 250, 15855, 1619, 2214, 19, 3495, 16882, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21979, 8669, 6, 5730, 2342, 4467, 6, 8, 21072, 6, 2351, 10, 15352, 30054, 8, 1372, 5466, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 10, 19448, 38451, 3938, 20889, 4, 20, 33215, 16739, 9, 230, 119, 6, 12608, 6, 274, 6, 8, 163, 428, 3639, 7, 5, 2214, 18, 12298, 8, 822, 636, 13408, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 66243, 51136, 50855, 50929, 59046, 51136, 50855, 50929, 55395, 51136, 51215, 50929, 51379, 50447, 50970, 51095, 51169, 51167, 50455, 63755, 60848, 50461, 54339, 51253, 56726, 50995, 50799, 51169, 51364, 51032, 51552, 51396, 51655, 51396, 51655, 50720, 50344, 70762, 50979, 51110, 50979, 51110, 52603, 57818, 50992, 75066, 54050, 58191, 50979, 51400, 50979, 51400, 52603, 60676, 51169, 50893, 51032, 67459, 50918, 50909, 50918, 53876, 62063, 50992, 59344, 50901, 54050, 59957, 50929, 50879, 51064, 50911, 50449, 50979, 75355, 50979, 51159, 50455, 50970, 50938, 51169, 57973, 50992, 50977, 50992, 78971, 53718, 51253, 57204, 51253, 60938, 51285, 51064, 52512, 51037, 51655, 51037, 51655, 50420, 75812, 75812, 51515, 57817, 50939, 51158, 50939, 51158, 51773, 52658, 50872, 51221, 50872, 51221, 51515, 58866, 50929, 51345, 51064, 50980, 51007, 51077, 51007, 51077, 51669, 55040, 50939, 51177, 50939, 51177, 51773, 58460, 50970, 51215, 51169, 51167, 76158, 50872, 74323, 50939, 58338, 50845, 69683, 51623, 50929, 52311, 54339, 52783, 54307, 52783, 51037, 51623, 51037, 51623, 50979, 51623, 50979, 51623, 50847, 51623, 50847, 51623, 50449, 50970, 50938, 56726, 51309, 54339, 51277, 50885, 57322, 51169, 78769, 50948, 50979, 50917, 50979, 50917, 73368, 50992, 71704, 51136, 51991, 54339, 51381, 54307, 51381, 51037, 51696, 50979, 51307, 50847, 51696, 60938, 52536, 51037, 51696, 50979, 51307, 50847, 51696, 50456, 59018, 50938, 50461, 52402, 52250, 51615, 52250, 50799, 54619, 51345, 51751, 51655, 51751, 51655, 50420, 50979, 51110, 50979, 63963, 53449, 50847, 51736, 54619, 50808, 50979, 51400, 50979, 51400, 50438, 54619, 51290, 50939, 50983, 50939, 60865, 50847, 55196, 50901, 50449, 59018, 65223, 50979, 51157, 50979, 51157, 50456, 53664, 50889, 58966, 58966, 68408, 51264, 51751, 51264, 50419, 54942, 67729, 50979, 51110, 50979, 63963, 53449, 50847, 51736, 50979, 51400, 50979, 51400, 50438, 50939, 50983, 50939, 60865, 50847, 55196, 55125, 50979, 51157, 50979, 51157, 50456, 54619, 50910, 58966, 58966, 50461, 76029, 52255, 51717, 50799, 59018, 50914, 51164, 51655, 51164, 51655, 50420, 75812, 50872, 64131, 50992, 51158, 50992, 71003, 59018, 61074, 51221, 50872, 51221, 50438, 59018, 51111, 50909, 51141, 50909, 72758, 54942, 50889, 50992, 51177, 50992, 68366, 76158, 50872, 74323, 55663, 51141, 50992, 58687, 74304, 51711, 51717, 59008, 51264, 51164, 63560, 75812, 50872, 64131, 50992, 51158, 50992, 71003, 51169, 50830, 51032, 50948, 50872, 51221, 50872, 51221, 50438, 51169, 51158, 51032, 51286, 50909, 51141, 50909, 72758, 50992, 51177, 50992, 51177, 50446, 61675, 51064, 66070, 76158, 76158, 50455, 50970, 50830, 51169, 57830, 53320, 50955, 50992, 58687, 74304, 52340, 51353, 50799, 51169, 53241, 51032, 54055, 53320, 51241, 51396, 51655, 51396, 51655, 50420, 50979, 51110, 50979, 63963, 50992, 56792, 51736, 53320, 73474, 51400, 50979, 51400, 50438, 53320, 51109, 50909, 50983, 50909, 60865, 50992, 59344, 50901, 50449, 52315, 54230, 50979, 51157, 50979, 51157, 50456, 51752, 51056, 73368, 50992, 71704, 51838, 51313, 52036, 51313, 62870, 51264, 51037, 63560, 76067, 76067, 50421, 51752, 57908, 50939, 55599, 51736, 50872, 51400, 50872, 51400, 50438, 51007, 50983, 51007, 60865, 50939, 60023, 55125, 50872, 51157, 50872, 51157, 50456, 53320, 50925, 67866, 67866, 50461, 52402, 52337, 51615, 52337, 50799, 52315, 51241, 51751, 51655, 51751, 51655, 50420, 50979, 51110, 50979, 63963, 53449, 50847, 51736, 52315, 62295, 51400, 50979, 51400, 50438, 52315, 60935, 50983, 50939, 60865, 53320, 51253, 50847, 55196, 55125, 50979, 51157, 50979, 51157, 50456, 52182, 51218, 58966, 58966, 68408, 51264, 51751, 51264, 51516, 51573, 52257, 51362, 50420, 50979, 51110, 50979, 63963, 53449, 50847, 51736, 50979, 51400, 50979, 51400, 52381, 51573, 54050, 53585, 50939, 50983, 50939, 60865, 50847, 55196, 55125, 50979, 51157, 50979, 51157, 51948, 51460, 54258, 51192, 50455, 54942, 50808, 52182, 53920, 58966, 58966, 50461, 52255, 52121, 52340, 52121, 51711, 52121, 52381, 51359, 50799, 53664, 51294, 53320, 51204, 51396, 51655, 51396, 51655, 51837, 51469, 53876, 52369, 50420, 50979, 51110, 50979, 63963, 50992, 56792, 51736, 53664, 50938, 53320, 50937, 50979, 51400, 50979, 51400, 50438, 53664, 51116, 53320, 51221, 50909, 50983, 50909, 60865, 50992, 59344, 55125, 53200, 50910, 52315, 50925, 50979, 51157, 50979, 51157, 50456, 52756, 51157, 51596, 51056, 73368, 73368, 75158, 51264, 51396, 51264, 50419, 54324, 51562, 51752, 51448, 50420, 50979, 51110, 50979, 51110, 53876, 50952, 58795, 58798, 50992, 75066, 53876, 50952, 58795, 54372, 50979, 51400, 50979, 51400, 54910, 50952, 54258, 59646, 50909, 50983, 50909, 50983, 54258, 50865, 54910, 54630, 50992, 59344, 50901, 53876, 50808, 54050, 52741, 50979, 51157, 50979, 51157, 54050, 51116, 53876, 51215, 50455, 54942, 52643, 52182, 50833, 73368, 50992, 71704, 54942, 51204, 51615, 52121, 51863, 52121, 50799, 52182, 51241, 51751, 51655, 51751, 51655, 52257, 51685, 54258, 51977, 50420, 50979, 51110, 50979, 63963, 53449, 50847, 51736, 54324, 50812, 51752, 60296, 51400, 50979, 51400, 50438, 54324, 51111, 51752, 51177, 50939, 50983, 50939, 60865, 53664, 51157, 53320, 51056, 50847, 55196, 55125, 50979, 51157, 50979, 51157, 50456, 54942, 51141, 52182, 51218, 58966, 58966, 68408, 51655, 51751, 51655, 50420, 50979, 51110, 50979, 63963, 53449, 50847, 51736, 51032, 50830, 51549, 50940, 50979, 51400, 50979, 51400, 50438, 51032, 50879, 51549, 59978, 50983, 50939, 60865, 50847, 55196, 72688, 51064, 50805, 51067, 65399, 50979, 51157, 50979, 51157, 50455, 51169, 50910, 51032, 50938, 54942, 50910, 52182, 58298, 58966, 58966, 50460, 51711, 52250, 52255, 52096, 50461, 53664, 51294, 68892, 51941, 51549, 52266, 53320, 51204, 51396, 51655, 51396, 51655, 50420, 50979, 51110, 50979, 63963, 50992, 56792, 65727, 54324, 50925, 51752, 56799, 50979, 51400, 50979, 51400, 50438, 54324, 51095, 51752, 51178, 50909, 50983, 50909, 60865, 50992, 59344, 55125, 54324, 50812, 51752, 79719, 51157, 50979, 51157, 50456, 54324, 51346, 51752, 51377, 73368, 73368, 75158, 51264, 51396, 51264, 50419, 53200, 51204, 52315, 51241, 50420, 50979, 51110, 50979, 63963, 50992, 56792, 51736, 50979, 51400, 50979, 51400, 50438, 50909, 50983, 50909, 60865, 54324, 51111, 51752, 51177, 50992, 59344, 55125, 50979, 51157, 50979, 51157, 50454, 52756, 50910, 50455, 51596, 58298, 73368, 73368, 50460, 51863, 53380, 51838, 54143, 52036, 57820, 50461, 52756, 51264, 73350, 53380, 51037, 51655, 51037, 51655, 54258, 51307, 59849, 51655, 50420, 76067, 50872, 63963, 50939, 55599, 51736, 59736, 50872, 51400, 50872, 51400, 50434, 50929, 72538, 51169, 52424, 51007, 50983, 51007, 60865, 50939, 60023, 55125, 50872, 51157, 50872, 51157, 50456, 51032, 61303, 50917, 67866, 50458, 66863, 57333, 51325, 51709, 51032, 50943, 50939, 51307, 50939, 51307, 50872, 51307, 50872, 51307, 51037, 51264, 51037, 51264, 50426, 51325, 51199, 54467, 51167, 51752, 50967, 55208, 51199, 54467, 51274, 51752, 50983, 51180, 54914, 55723, 50945, 51199, 51956, 50456, 52817, 51158, 52315, 51111, 51956, 50461, 52402, 52250, 51615, 52250, 53870, 50995, 51751, 51655, 51751, 51655, 62235, 58168, 57030, 54942, 51538, 52182, 51518, 50420, 50979, 51110, 50979, 51110, 51960, 51510, 52670 ]
[ 0, 250, 15352, 30054, 1619, 3495, 2214, 11, 230, 538, 6, 4246, 13305, 6, 21979, 8669, 6, 1076, 560, 31365, 25999, 6, 21040, 2426, 6, 8, 21072, 4, 20, 2125, 11498, 10, 11956, 178, 5285, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 6453, 9, 11098, 8, 657, 4, 20, 33215, 16739, 9, 211, 401, 6, 272, 6, 230, 6, 230, 119, 1176, 406, 6, 8, 1918, 3639, 7, 63, 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 ]	[ 57211, 50799, 51924, 53174, 56461, 51358, 51332, 71785, 50988, 51290, 50988, 52536, 50423, 50885, 51141, 50885, 51551, 50429, 50868, 66282, 64049, 50988, 61636, 50909, 52097, 76858, 51226, 66368, 55501, 55963, 51290, 50447, 50885, 51090, 50885, 51364, 50449, 51924, 52175, 56461, 64870, 50868, 51055, 50454, 54310, 50865, 50868, 50879, 50455, 51390, 55273, 50988, 58565, 51334, 50803, 53171, 50830, 57746, 51030, 50988, 51241, 50935, 52097, 50935, 51291, 50415, 51590, 51407, 53927, 52864, 50868, 53677, 51158, 50988, 51048, 50423, 50885, 51090, 50885, 52097, 50429, 50868, 51090, 50868, 59984, 50988, 51290, 50988, 55965, 50935, 51541, 50935, 65980, 66732, 50868, 67933, 51055, 50447, 50885, 57084, 54526, 51590, 50975, 53927, 58045, 53171, 60709, 58429, 51362, 50455, 53927, 57313, 50988, 79854, 50889, 50459, 51209, 50811, 51981, 78952, 50910, 50799, 52287, 50918, 50946, 50806, 51164, 51551, 50415, 51209, 51407, 50420, 50988, 71065, 51527, 50423, 50885, 51285, 50946, 51538, 50429, 50872, 51379, 50885, 72107, 50872, 51364, 50438, 50850, 51354, 51164, 51566, 50872, 51566, 50850, 51454, 50450, 51229, 50803, 52287, 50808, 51217, 51090, 50868, 66282, 63165, 51016, 50453, 53927, 64998, 51590, 50950, 50457, 51334, 50803, 53171, 53793, 51924, 58055, 56461, 50890, 57342, 64061, 51362, 51171, 52500, 50848, 52536, 50417, 56461, 63814, 51924, 58609, 54310, 63580, 51585, 50421, 51390, 74377, 50885, 51226, 50429, 51209, 50803, 50872, 51896, 50430, 52287, 58970, 51209, 50803, 52287, 54957, 51256, 51066, 51981, 51215, 51042, 50983, 50850, 51496, 50450, 50953, 51013, 51209, 50802, 51981, 52809, 52287, 51754, 51408, 50803, 53171, 50859, 52534, 51605, 51924, 53174, 56461, 51896, 50801, 50841, 51332, 74258, 50988, 51290, 50988, 52536, 50423, 50885, 51189, 50885, 51551, 62578, 55739, 50868, 75736, 64049, 50988, 51048, 51658, 61937, 52195, 76858, 51541, 66368, 55501, 55963, 51073, 50447, 50885, 74888, 51364, 50449, 51924, 52175, 56461, 58546, 55647, 50868, 51055, 50454, 54310, 70845, 50893, 50455, 51390, 55273, 50988, 58565, 51334, 50803, 53171, 50910, 52534, 51933, 50801, 50841, 50988, 51030, 50988, 51241, 50935, 52097, 50935, 51472, 50415, 51590, 51407, 53927, 52115, 50868, 57122, 51158, 50988, 51073, 50423, 50885, 67388, 52097, 62578, 54694, 50868, 51090, 50868, 59984, 50988, 51290, 69089, 51658, 69149, 51541, 50935, 52195, 66368, 50910, 50868, 67933, 51055, 50447, 50885, 58239, 54526, 51590, 50975, 53927, 53345, 54859, 53171, 55729, 58429, 51362, 50455, 53927, 58774, 55436, 50988, 79854, 50889, 50459, 51209, 50811, 51981, 78952, 50910, 53870, 51933, 52287, 55755, 50841, 50946, 51624, 50297, 51551, 50415, 51209, 52827, 50420, 50988, 60772, 51551, 50423, 50885, 52195, 50946, 51538, 62578, 54694, 50872, 51167, 50885, 72107, 50872, 51141, 51658, 63752, 51379, 51164, 51055, 50872, 51055, 50850, 51454, 50450, 51019, 51048, 51229, 50803, 52287, 53841, 50841, 51217, 51054, 50868, 75736, 63165, 51016, 50453, 53927, 59464, 51590, 74653, 51334, 50803, 53171, 53793, 51924, 58055, 56461, 50890, 52288, 77598, 59162, 64061, 51226, 51171, 53241, 50848, 52500, 50417, 56461, 60232, 51924, 58609, 54310, 54572, 51941, 50421, 51390, 74377, 50885, 51573, 62578, 55739, 51209, 50803, 50872, 51977, 50430, 52287, 59046, 51209, 50803, 52287, 54957, 50953, 51472, 51256, 51300, 51981, 74749, 50841, 51042, 51364, 50850, 51496, 50450, 52376, 56285, 58544, 51831, 50879, 52534, 51161, 57494, 52069, 53026, 65734, 51194, 50909, 51552, 50847, 51446, 51332, 51353, 50415, 51652, 70333, 51652, 78790, 50988, 50983, 50988, 52392, 50423, 50885, 51274, 50885, 51446, 51768, 51539, 55739, 50868, 75736, 50983, 50430, 51652, 64338, 51667, 66554, 51652, 51290, 51658, 51406, 79059, 51552, 50909, 52195, 66368, 51110, 50988, 51291, 50447, 50885, 74888, 51285, 51955, 51539, 55079, 50953, 69543, 51290, 50454, 50868, 51923, 51133, 57661, 69273, 52534, 52392, 51652, 50948, 57494, 52069, 54052, 50841, 50988, 51134, 50935, 51661, 50935, 52097, 50420, 51652, 78341, 55963, 51446, 50423, 50885, 51285, 50424, 50885, 51661, 51768, 51539, 55882, 51652, 72257, 50868, 66282, 72107, 51667, 50858, 50988, 51127, 50435, 51652, 51362, 51658, 51406, 67065, 51226, 50935, 65980, 66732, 50988, 51189, 50447, 50885, 58239, 51274, 51955, 51539, 54363, 50868, 51290, 50868, 51362, 50456, 59133, 63364, 50459, 50988, 50897, 53870, 51358, 51652, 50921, 54643, 65968, 56263, 51274, 50415, 52287, 52069, 50418, 51831, 78790, 50988, 60772, 51446, 50423, 50885, 51285, 50946, 51413, 51768, 51539, 54694, 51831, 69120, 51226, 50885, 51336, 50432, 51652, 62487, 51446, 50435, 51831, 51294, 51658, 51406, 58875, 51379, 50850, 68249, 50988, 75250, 50946, 70447, 51019, 51048, 50903, 51750, 50828, 50988, 50952, 50453, 72252, 50946, 66704, 50885, 64503, 57896, 52288, 51091, 52376, 50859, 52287, 51183, 54643, 69263, 51362, 50850, 51285, 50848, 53241, 50417, 52457, 51167, 67653, 51294, 50423, 50885, 60823, 52457, 50879, 69122, 54660, 50872, 56674, 51358, 50432, 51019, 50884, 52376, 56535, 68685, 52457, 51238, 55208, 50807, 54310, 51047, 54643, 50839, 50988, 51235, 50872, 51427, 79373, 50850, 51235, 50988, 51356, 50450, 52376, 50879, 69122, 68855, 51124, 50988, 51227, 50847, 51227, 50935, 51346, 50456, 50953, 50887, 51831, 50893, 52534, 51605, 56724, 50895, 57494, 51945, 54643, 50841, 50988, 70534, 51178, 50909, 51496, 50847, 51413, 51332, 76811, 56724, 51345, 50420, 50988, 50983, 50988, 51141, 50423, 50885, 51274, 50885, 51413, 51768, 51539, 54694, 68623, 50868, 51016, 50431, 55066, 68974, 56724, 51227, 51658, 51467, 60576, 51427, 50909, 52097, 50988, 51336, 50441, 50847, 51446, 66368, 51178, 50447, 50872, 62773, 51274, 51955, 51464, 54363, 77362, 50454, 50868, 61510, 66858, 52534, 51933, 51652, 50948, 57494, 51353, 54643, 58178, 51541, 50988, 51241, 50935, 52195, 50935, 52195, 50420, 51652, 50940, 50868, 55963, 51446, 50423, 50885, 51285, 50424, 50885, 51285, 51768, 51750, 57286, 51652, 77198, 68567, 50868, 66282, 51343, 50432, 51667, 50858, 50988, 51077, 50435, 51652, 51362, 51658, 51406, 69010, 51226, 50847, 51141, 50935, 52195, 66368, 50897, 50988, 51218, 50447, 50885, 62773, 51343, 51955, 51750, 55079, 50953, 60975, 51290, 50868, 51362, 50456, 51133, 78769, 50889, 50459, 50988, 50910, 52354, 50983, 51652, 50952, 52287, 51714, 53026, 58178, 50921, 50946, 56263, 51472, 50417, 50872, 69392, 51831, 78790, 50988, 62773, 65057, 51189, 50423, 50872, 73564, 51446, 51768, 51539, 54660, 51831, 69120, 51541, 50885, 51977, 50432, 51652, 63553, 51446, 50435, 51831, 51294, 53357, 51238, 54643, 58875, 51427, 50946, 51336, 50441, 50885, 51291, 50444, 50872, 72742, 51274, 50447, 50847, 51192, 50847, 69323, 51019, 51048, 50903, 51750, 55079, 72252, 70084, 52288, 51336, 52376, 50858, 52287, 51183, 53026, 69263, 51362, 50850, 51285, 51171, 51196, 50848, 52500, 50417, 52457, 51215, 67653, 51294, 50946, 50983, 50423, 50885, 74888, 65183, 52457, 50879, 69122, 54694, 50872, 56674, 51896, 50432, 52376, 56535, 52457, 51235, 55208, 51336, 54310, 51562, 53026, 50839, 50988, 51235, 50872, 51235, 67265, 50850, 51160, 50988, 59731, 52376, 50948, 59193, 50828, 50988, 51238, 50935, 51124, 50988, 51345, 50847, 50980, 50935, 51345, 50456, 52457, 50893, 50461, 51327, 51417, 52354, 51472 ]
[ 0, 250, 15352, 30054, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 18558, 6, 13305, 6, 3152, 6757, 6, 1893, 43639, 6, 8, 31391, 1672, 9590, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 17407, 30, 10, 33215, 16739, 9, 274, 6, 163, 428, 6, 272, 6, 230, 6, 8, 83, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 54983, 51745, 53503, 51036, 51914, 53073, 51859, 53073, 51001, 51012, 61401, 53023, 50902, 51740, 53899, 50876, 57499, 50902, 51896, 50856, 53889, 52975, 51526, 50923, 60026, 50837, 55511, 51054, 64082, 52616, 50856, 52763, 51526, 56021, 53889, 53650, 51526, 56702, 52995, 50837, 55609, 51573, 55981, 51036, 51001, 51138, 64082, 53023, 50902, 55836, 53899, 50876, 56382, 50902, 51343, 50856, 53889, 53644, 51602, 53703, 52990, 50837, 56618, 51090, 64082, 52616, 50931, 51566, 50856, 52763, 51602, 63572, 53889, 53563, 51602, 61505, 53530, 53237, 54600, 60437, 53053, 51573, 53455, 51336, 53503, 51661, 51859, 51472, 50906, 51090, 64082, 52761, 50856, 52670, 50856, 53889, 59485, 50876, 57647, 51137, 76932, 50830, 60026, 50837, 54360, 51541, 55209, 51336, 53455, 51472, 53503, 51077, 51914, 51336, 50902, 50896, 64082, 52616, 50856, 52763, 50876, 63572, 53889, 53650, 51374, 67782, 50893, 61693, 50837, 52894, 51090, 54609, 51055, 52949, 51336, 52301, 51469, 51859, 51264, 50871, 74694, 51013, 64082, 53023, 50856, 52670, 51374, 51016, 55209, 67957, 64609, 67013, 53889, 53644, 60026, 50837, 55545, 50858, 55977, 50918, 51617, 51291, 50877, 69797, 51472, 64082, 52616, 51132, 56795, 52995, 56061, 52772, 51137, 52370, 50319, 51160, 50801, 52995, 53889, 53563, 51349, 55024, 52995, 56061, 50818, 54983, 51745, 53503, 51655, 51914, 51696, 51859, 51036, 50871, 51077, 50906, 68900, 51077, 61401, 50829, 53158, 52670, 50856, 53889, 55212, 54978, 55736, 51526, 51014, 60026, 58803, 54978, 50962, 50436, 54978, 50962, 55511, 51566, 64082, 55698, 54978, 51021, 57428, 61035, 57785, 54978, 75500, 51132, 53936, 50314, 51100, 50856, 53889, 62962, 54978, 63695, 51349, 76932, 55944, 52995, 54600, 54978, 51045, 54983, 51541, 53455, 51655, 52301, 51696, 51953, 51655, 78548, 50876, 51218, 50968, 51945, 64082, 57030, 54978, 50923, 53158, 59136, 54560, 52282, 55592, 53889, 53644, 51526, 51033, 60026, 50837, 55511, 51566, 50876, 51481, 64082, 52616, 50906, 59384, 52763, 51132, 64515, 80153, 53889, 53563, 51349, 53318, 50311, 53933, 53237, 50837, 54983, 51541, 53455, 51696, 53503, 51696, 53088, 51655, 72683, 50906, 51103, 51001, 51127, 64082, 52761, 50856, 52670, 50856, 53889, 60759, 57249, 57611, 51526, 51033, 60026, 50837, 55511, 51500, 57249, 51030, 64082, 52616, 57249, 68905, 54493, 54284, 50956, 52763, 51132, 68188, 59375, 51111, 51001, 56255, 53889, 62962, 54978, 61063, 51349, 73796, 55170, 53237, 54600, 57249, 51030, 54983, 51541, 53503, 51696, 54609, 52017, 51914, 51655, 50871, 51204, 76885, 50902, 51103, 64082, 57030, 54699, 51274, 53158, 52670, 50856, 53889, 53644, 51526, 51033, 54783, 51158, 60026, 50837, 55511, 51500, 64082, 62047, 59659, 51294, 57428, 52995, 52763, 51132, 53936, 50319, 56021, 53889, 53563, 51349, 53275, 50318, 53097, 52995, 54600, 59725, 54983, 51745, 51914, 51696, 53503, 51655, 51859, 51696, 50902, 51358, 61401, 53070, 50906, 54071, 50856, 52670, 50856, 53889, 52975, 51526, 51014, 50871, 51174, 60026, 58039, 54978, 79737, 54978, 50894, 55511, 51566, 64082, 58655, 54978, 51021, 57428, 51242, 50856, 62749, 54978, 55510, 51132, 51138, 50856, 53889, 58418, 54978, 50882, 50455, 54978, 57251, 51349, 68916, 50870, 50902, 54390, 52995, 54600, 54978, 50950, 54983, 51541, 53455, 51696, 52301, 51469, 51953, 51469, 50861, 65090, 51157, 50968, 51346, 64082, 57030, 54978, 51012, 55902, 63781, 60916, 54560, 51551, 55592, 53889, 53644, 51526, 51033, 50861, 55512, 51480, 50968, 51419, 60026, 50837, 55511, 51566, 64082, 52616, 50861, 53110, 52763, 51132, 52362, 50314, 75672, 78576, 53889, 53563, 51349, 78291, 50873, 61693, 50837, 54983, 51541, 53455, 51655, 53088, 51036, 53503, 51469, 50861, 51191, 50906, 51291, 51001, 51417, 64082, 52761, 50856, 52670, 50856, 53889, 52975, 51526, 51033, 60026, 54034, 57249, 50962, 55511, 51500, 50861, 51337, 50906, 76452, 51309, 64082, 55698, 57249, 62789, 57249, 70499, 52763, 51132, 50923, 57249, 73796, 59375, 57367, 60095, 53889, 53650, 68661, 54978, 50894, 50861, 55503, 53237, 54600, 57249, 50894, 54983, 51541, 54609, 51036, 53503, 51655, 51914, 51655, 54699, 51274, 50871, 51204, 50906, 51204, 79728, 64082, 53023, 50856, 52670, 50856, 53889, 53644, 51526, 51033, 54783, 51060, 60026, 57413, 72358, 55511, 51500, 59659, 51343, 50816, 53239, 50906, 53390, 52763, 51526, 53936, 50326, 51116, 72481, 65338, 66002, 51456, 64563, 51456, 58686, 51456, 53017, 51349, 51030, 51456, 57029, 51456, 58077, 51456, 50841, 53053, 51745, 53503, 51605, 51914, 51655, 51676, 53073, 53455, 53073, 50906, 61806, 51379, 50951, 51016, 61401, 53023, 50906, 51189, 50856, 59136, 54067, 56519, 54067, 52827, 50902, 56473, 53889, 52975, 51137, 51014, 50951, 51160, 60026, 52896, 51137, 51573, 50902, 51124, 64082, 52616, 50951, 73497, 52763, 50906, 50991, 50856, 53889, 62962, 54899, 66864, 51137, 53936, 50318, 54312, 52995, 57950, 54377, 51045, 54920, 51573, 52301, 51696, 53088, 51655, 75023, 51001, 69517, 51141, 64082, 57030, 54377, 51505, 55902, 51518, 50856, 59136, 54067, 51870, 56546, 51241, 50856, 53889, 53644, 51416, 50950, 51001, 50901, 60026, 50837, 54908, 51066, 50951, 50983, 64082, 52616, 50876, 56923, 62749, 54978, 54988, 51349, 53936, 50319, 60095, 53889, 57905, 57249, 76187, 51137, 53936, 50323, 50959, 61693, 50837, 52894, 51573, 53503, 51469, 51859, 53002, 54609, 51469, 51914, 51655, 66734, 50902, 51158, 50931, 50889, 64082, 52761, 50906, 51477, 50856, 53899, 54978, 56667, 54978, 52311, 50902, 70436, 53889, 52975, 51132, 51045, 50931, 50918, 60026, 52896, 51132, 51552, 50876, 50805, 64082, 52616, 50902, 51233, 50856, 52763, 50876, 56255, 53889, 60305, 54978, 61063, 51132, 61178, 50878, 61693, 57995, 54978, 50806, 52894, 51573, 54609, 51492, 52949, 52392, 52301, 51696, 57002, 50876, 62931, 51091, 64082, 63266, 57249, 51033, 57340, 53592, 61599, 57249, 51226, 56546, 53592, 53889, 53644, 51132, 50894, 50931, 51158, 60026, 52896, 51132, 51505, 51001, 51235, 64082, 52616, 50801, 52995, 56061, 54492, 51132, 52717, 50321, 53639, 51137, 76932, 52862, 52995, 53889, 53563, 51349, 53318, 50316, 61467, 52995, 56061, 50818, 54983, 51745, 53503, 51696, 51914, 51696, 75482, 50871, 68995, 67922, 50937, 61401, 50829, 53158, 52670, 50906, 64763, 51008, 50871, 51203, 50856, 53889, 52975, 51526, 51014, 54978, 52717, 50306, 51328, 60026, 54034, 54978, 50962, 55511, 51566, 54978, 53318, 50302, 51115, 64082, 52616, 54978, 51460, 50871, 59539, 52763, 51132, 53936, 50314, 54367, 53889, 62962, 54978, 63695, 51349, 57169, 52995, 57950, 54978, 50894, 54983, 51541, 53503, 51264, 53455, 51696, 52301, 51036, 51953, 51036, 50900, 52071, 73952, 50861, 58204, 50901, 64082, 57030, 54978, 51388, 53158, 59136, 54560, 52311, 50423, 50861, 69074, 52872, 50916, 51121, 50861, 51060, 50906, 78576, 53889, 53644, 51526, 51033, 60026, 54034, 50861, 72020, 50820, 55511, 51566, 50861, 51192, 50906, 51060, 64082, 52616, 50856, 54284, 50861, 77117, 53533, 51132, 68188, 51286, 50906, 66435, 53889, 53563, 51349, 78291, 50866, 61693, 50837, 54983, 51541, 53455, 51696, 53503, 51696, 53088, 51696, 50956, 70978, 51060, 50906, 51016, 64082, 52761, 50956, 58253, 52670, 50861, 57594, 53889, 52975, 51526, 51033, 57249, 52640, 50314, 51134, 60026, 54034, 57249, 50882, 55511, 51500, 50956, 51166, 64082 ]
[ 0, 1121, 42, 8787, 5175, 15229, 6, 10, 38668, 483, 1239, 5, 8036, 6, 32971, 2933, 8, 15352, 30054, 2301, 81, 10, 4811, 4976, 30, 10, 6755, 12547, 8, 13602, 6757, 4, 83, 17605, 9590, 3639, 41, 20425, 2842, 7, 5, 2125, 6, 61, 30853, 23, 10, 182, 1769, 20889, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 230, 3694, 6, 24, 1575, 10, 33215, 13931, 9, 230, 401, 6, 163, 43531, 1176, 406, 6, 8, 272, 401, 6, 8216, 7, 63, 24486, 8, 25306, 1318, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 65919, 50796, 50796, 50799, 61290, 50830, 66680, 52167, 50706, 50333, 50830, 51395, 50830, 51284, 67068, 54664, 50967, 79810, 52167, 67469, 50830, 51201, 50830, 51384, 56908, 67409, 52167, 50706, 50335, 50830, 51201, 50830, 51304, 53244, 59246, 50818, 63626, 52167, 67409, 50830, 51266, 50830, 51558, 59161, 59860, 50818, 67281, 50829, 51583, 50991, 51856, 70900, 58148, 59797, 50737, 50317, 50809, 50737, 50322, 50809, 50737, 50327, 50809, 57412, 59586, 50737, 50320, 50809, 50737, 50325, 50809, 50737, 50330, 50809, 54235, 57993, 51296, 50967, 51633, 50795, 53381, 50845, 52269, 50845, 53282, 50795, 50448, 51046, 59671, 51643, 58740, 51633, 57450, 50778, 50306, 50800, 59061, 50800, 50778, 50330, 50800, 59411, 71026, 50318, 71026, 50330, 50800, 50799, 59860, 50818, 57931, 50818, 53394, 50795, 53209, 52115, 50667, 50276, 50818, 53797, 50795, 53441, 51631, 58148, 50818, 50775, 50318, 53182, 59860, 50818, 53482, 50795, 54025, 51646, 57931, 52210, 50667, 50277, 50820, 53508, 50795, 53931, 59830, 50667, 50277, 58321, 50667, 50277, 52725, 58148, 50818, 53394, 50807, 53209, 50807, 50775, 50318, 53312, 50667, 50276, 50818, 50799, 59860, 50818, 57931, 52432, 57931, 50818, 63241, 50800, 53512, 50800, 58428, 50800, 73295, 50800, 53789, 50810, 54222, 50810, 57605, 52654, 58148, 50818, 53633, 52417, 50667, 50276, 50818, 63103, 51112, 52174, 51112, 55939, 51112, 62028, 51112, 53014, 51025, 53310, 51025, 54442, 59290, 59860, 50818, 57931, 52210, 52451, 50818, 54664, 54028, 52451, 52396, 58148, 50818, 64034, 50817, 51521, 50807, 54198, 50807, 52655, 51112, 52908, 51112, 56042, 67768, 57931, 50818, 50799, 59860, 50818, 57931, 50818, 53394, 50795, 53209, 52115, 50667, 50276, 50818, 53797, 50795, 53441, 51631, 58148, 50818, 50775, 50318, 53182, 59860, 50818, 53482, 50795, 54025, 51646, 57931, 52210, 50667, 50277, 50820, 53508, 50795, 53931, 59830, 50667, 50277, 58321, 50667, 50277, 52725, 58148, 50818, 53394, 50807, 53209, 50807, 50775, 50318, 53312, 50667, 50276, 50818, 50799, 59860, 50818, 57931, 52432, 57931, 50818, 63241, 50800, 53512, 50800, 58428, 50800, 73295, 50800, 53789, 50810, 54222, 50810, 57605, 52654, 58148, 50818, 53633, 52417, 59860, 50818, 54476, 50818, 56915, 50983, 55794, 50983, 53714, 50983, 53190, 50983, 51491, 50983, 51165, 50983, 51201, 50983, 51690, 58624, 50667, 50276, 50818, 58148, 50818, 55022, 50795, 56256, 50865, 54862, 50865, 53714, 50865, 51394, 50830, 53089, 54896, 50667, 50276, 50818, 58148, 50818, 54198, 50795, 54264, 50865, 54427, 50865, 53112, 50865, 51304, 50830, 53506, 50830, 52591, 58148, 50818, 53797, 50795, 65405, 50917, 50706, 50340, 51021, 53441, 51736, 59860, 50818, 53482, 50795, 54025, 51646, 57931, 52210, 50667, 50277, 50820, 53508, 50795, 53931, 59830, 50667, 50277, 58321, 50667, 50277, 52725, 58148, 50818, 53394, 50807, 53209, 50807, 50775, 50318, 53312, 50667, 50276, 50818, 50799, 59860, 50818, 57931, 52432, 57931, 50818, 63241, 50800, 53512, 50800, 58428, 50800, 73295, 50800, 53789, 50810, 54222, 50810, 57605, 52654, 58148, 50818, 53633, 52417, 50667, 50276, 50818, 63103, 51112, 52174, 51112, 55939, 51112, 62028, 51112, 53014, 51025, 53310, 51025, 54442, 59290, 59860, 50818, 57931, 52210, 52451, 50818, 54664, 54028, 52451, 52396, 58148, 50818, 64034, 50817, 51521, 50807, 54198, 50807, 52655, 51112, 52908, 51112, 56042, 67768, 57931, 50818, 50799, 59860, 50818, 57931, 50818, 53394, 50795, 53209, 52115, 50667, 50276, 50818, 53797, 50795, 53441, 51631, 58148, 50818, 50775, 50318, 53182, 59860, 50818, 53482, 50795, 54025, 51646, 57931, 52210, 50667, 50277, 50820, 53508, 50795, 53931, 59830, 50667, 50277, 58321, 50667, 50277, 52725, 58148, 50818, 53394, 50807, 53209, 50807, 50775, 50318, 53312, 50667, 50276, 50818, 50799, 59860, 50818, 57931, 52432, 57931, 50818, 63241, 50800, 53512, 50800, 58428, 50800, 73295, 50800, 53789, 50810, 54222, 50810, 57605, 52654, 58148, 50818, 53633, 52417, 59860, 50818, 54476, 50818, 56915, 50983, 55794, 50983, 53714, 50983, 53190, 50983, 51491, 50983, 51165, 50983, 51201, 50983, 51690, 58624, 50667, 50276, 50818, 58148, 50818, 55022, 50795, 56256, 50865, 54862, 50865, 53714, 50865, 51394, 50830, 53089, 54896, 50667, 50276, 50818, 58148, 50818, 54198, 50795, 54264, 50865, 54427, 50865, 53112, 50865, 51304, 50830, 53506, 50830, 52591, 59860, 50818, 61947, 50818, 67281, 50820, 54330, 50983, 52123, 50983, 51584, 50983, 52974, 50983, 51113, 50983, 51266, 50983, 51905, 57345, 61018, 52600, 59860, 50818, 59410, 50818, 55160, 50983, 52041, 50983, 51902, 50983, 53811, 50983, 51357, 50983, 51600, 50983, 51811, 58624, 50667, 50293, 52738, 59860, 50818, 67281, 50828, 54198, 51605, 51555, 51605, 52037, 51605, 54102, 51605, 51488, 51605, 51394, 51605, 51690, 51605, 50799, 57457, 51306, 50415, 57533, 51306, 50416, 57457, 51004, 50417, 57533, 51004, 50418, 57457, 64159, 57533, 53070, 57457, 58158, 57533, 53423, 57533, 58830, 61947, 52762, 57533, 56171, 57533, 54013, 61947, 57531, 61018, 52953, 61947, 57201, 61018, 53593, 61018, 60631, 58899, 53219, 61018, 56484, 58899, 53905, 58899, 59457, 58588, 53027, 59860, 52396, 58148, 50818, 59410, 50818, 55393, 50807, 70613, 51054, 50727, 50327, 51054, 58428, 51054, 50732, 50336, 51054, 50799, 59860, 50818, 57931, 50818, 53394, 50795, 58559, 56202, 50667, 50276, 50818, 53797, 50795, 51856, 50911, 52464, 50795, 52197, 50795, 53761, 51631, 58148, 50818, 51245, 50911, 52197, 50795, 52107, 50795, 52730, 51736, 59860, 50818, 53482, 50795, 51593, 51090, 52544, 50807, 52730, 50807, 56361, 52424, 57931, 52210, 50667, 50277, 50820, 53508, 50795, 51323, 51090, 52464, 50807, 53761, 50807, 53043, 75626, 50667, 50277, 58321, 50667, 50277, 52725, 58148, 50818, 53394, 53312, 50667, 50276, 50818, 51940, 51138, 53761, 50865, 54843, 50865, 67499, 50865, 50799, 59860, 50818, 57931, 52432, 57931, 50818, 55151, 50800, 52150, 51237, 52730, 50807, 56361, 50807, 72963, 52910, 58148, 50818, 53633, 52417, 50667, 50276, 50818, 54289, 51112, 52106, 51012, 52107, 50795, 53043, 50795, 61892, 51646, 59860, 50818, 57931, 50818, 52856, 50911, 52253, 50795, 52730, 50795, 60791, 51918, 52451, 50818, 53482, 50820, 51940, 51012, 52107, 50795, 54843, 50795, 67499, 53658, 52451, 52396, 58148, 50818, 64034, 50817, 53394, 51112, 57971, 51112, 52117, 50810, 52696, 50810, 57390, 50810, 53378, 50866, 52987, 50866, 52117, 54752, 57931, 50818, 52106, 51138, 52730, 50865, 54843, 50865, 61892, 50865, 50799, 59860, 50818, 57931, 50818, 53394, 52115, 50667, 50276, 50818, 53797, 50795, 51593, 51090, 52107, 50807, 52730, 50807, 54843, 52910, 58148, 52209, 59860, 50818, 53482, 50795, 54909, 56859, 55388, 58024, 50733, 50337, 52565, 57931, 50818, 52970, 50809, 51906, 50809, 51776, 52510, 50667, 50277, 50820, 53508, 50795, 52970, 50809, 51906, 50809, 51776, 50809, 53216, 50795, 51855, 50795, 52086, 59830, 50667, 50277, 58321, 50667, 50277, 52725, 58148, 50818, 53394, 50807, 60220, 57136, 58417, 64314, 55594, 50829, 53787, 55097, 53844, 57690, 55087, 58677, 58957, 50829, 60601, 53017, 50667, 50276, 50818, 52103, 50795, 51713, 50795, 54822, 50795, 50799, 59860, 50818, 57931, 52432, 57931, 50818, 53797, 50795, 52306, 50809, 68610, 50809, 50712, 50340, 50809, 53283, 50809, 55452, 50809, 57210, 53467, 52306, 50809 ]
[ 0, 250, 19448, 3495, 2214, 702, 15, 13305, 11, 5, 762, 9, 272, 538, 6, 7630, 14805, 6453, 9, 657, 8, 11926, 4, 590, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 3676, 6, 230, 6, 8, 163, 119, 6, 2351, 10, 5679, 26709, 5466, 10686, 13, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 51809, 50861, 58125, 51085, 51490, 50431, 51026, 52212, 64185, 54829, 50900, 51490, 50433, 50861, 51449, 50876, 52151, 75695, 50968, 51060, 65281, 66425, 51315, 52519, 77025, 55812, 50443, 50916, 53674, 50444, 50968, 52015, 50906, 52916, 50861, 65278, 50876, 52783, 75695, 50902, 51189, 50441, 51050, 52212, 77025, 52212, 57428, 56458, 50861, 52136, 50877, 52263, 50876, 51244, 50796, 63174, 50978, 50436, 71477, 50440, 50877, 59837, 51085, 54557, 67655, 51878, 51026, 61124, 50447, 50916, 55002, 50796, 50433, 59285, 50443, 51085, 52503, 50445, 51026, 51748, 50447, 50899, 53588, 50448, 50861, 52988, 50876, 52062, 50449, 50916, 52727, 50796, 50443, 50968, 51110, 51120, 51277, 50449, 51197, 70202, 60734, 77746, 50458, 50861, 53142, 51315, 52015, 50459, 50876, 53588, 50460, 50968, 51680, 53069, 50900, 61653, 50427, 50916, 52168, 50446, 51050, 51328, 65338, 53069, 50876, 51381, 56978, 53849, 50902, 51542, 50422, 50951, 53082, 50428, 50899, 53849, 73866, 53233, 50440, 50877, 51413, 73227, 51060, 50452, 50902, 51353, 50461, 50973, 51592, 50796, 50448, 50968, 50955, 52177, 51315, 63160, 50900, 54829, 50418, 50861, 55490, 50916, 51447, 50876, 52222, 50420, 50951, 51447, 50443, 50968, 51162, 50453, 50951, 51095, 51120, 64224, 50968, 50837, 52591, 51085, 52431, 50421, 51026, 52528, 50423, 50899, 55086, 50424, 50861, 54829, 50916, 55490, 50906, 52335, 50876, 53588, 51601, 50861, 61799, 51247, 52256, 50432, 51085, 53838, 50433, 51027, 51330, 69374, 51748, 50871, 51449, 50877, 51803, 51809, 63830, 50429, 50876, 50932, 50437, 50877, 58141, 51085, 54557, 50446, 51026, 54532, 50447, 50899, 53577, 50449, 50916, 64880, 50861, 52783, 50796, 57267, 56132, 51279, 52140, 50460, 51315, 52431, 53975, 55586, 74354, 51449, 50916, 52988, 50876, 51662, 50451, 50968, 51345, 50458, 51966, 56551, 50876, 51689, 50298, 51126, 55753, 51026, 52136, 50861, 52980, 51214, 53233, 50916, 51680, 50968, 51680, 50876, 52015, 50442, 51026, 54171, 53069, 50861, 54228, 55961, 54228, 50902, 52519, 50973, 54228, 56020, 51027, 52916, 50876, 51679, 50429, 50916, 53161, 50436, 50877, 51737, 50443, 50916, 51697, 50449, 50877, 52782, 50455, 50916, 51166, 50461, 51027, 52783, 53069, 50916, 51387, 79143, 51376, 50431, 50916, 51432, 50437, 50877, 52192, 50443, 50916, 51824, 50449, 51027, 52140, 50455, 50916, 51166, 54852, 51824, 56440, 53010, 50427, 50877, 51432, 50433, 50916, 51079, 50440, 51027, 52140, 50447, 50916, 51884, 50454, 50877, 52167, 50461, 50916, 52059, 55753, 50877, 54861, 50951, 51518, 50430, 50916, 51806, 50441, 51062, 51191, 50442, 51027, 55776, 50449, 50916, 51753, 50455, 50877, 52782, 50461, 50916, 52063, 53069, 50877, 52782, 50420, 51430, 55035, 51062, 51309, 50916, 52518, 50433, 51027, 52140, 51430, 51103, 50440, 50916, 51432, 78933, 52518, 50452, 50916, 51432, 50459, 51146, 51343, 50877, 55778, 52478, 50916, 52966, 51062, 51145, 50427, 51050, 70316, 50433, 50900, 51074, 69332, 67446, 50900, 50972, 73867, 51481, 50999, 51013, 50458, 50900, 50891, 51809, 51315, 74826, 51623, 50422, 51086, 51079, 50428, 50916, 69783, 50989, 54848, 50443, 50861, 55778, 59758, 66955, 51253, 50460, 51027, 52168, 51062, 51127, 53069, 50916, 51079, 79143, 51006, 50431, 50916, 51376, 50436, 67514, 51430, 50795, 50442, 51062, 51060, 50916, 51166, 50448, 51027, 52015, 51430, 51356, 50454, 50916, 50972, 50460, 50877, 50978, 52177, 50916, 50838, 50424, 50877, 52169, 50330, 64247, 50916, 53115, 51315, 51380, 51487, 50854, 50440, 51814, 56532, 51487, 53487, 50442, 51086, 51277, 50449, 50916, 68384, 50989, 73894, 50861, 50937, 52478, 50916, 59768, 51315, 51097, 50431, 51086, 50972, 50437, 50916, 51277, 50443, 50989, 51309, 56222, 51423, 51430, 51446, 50459, 50916, 51319, 56020, 51027, 52980, 51487, 51115, 50429, 50916, 51884, 50435, 50877, 60887, 51430, 51177, 50916, 71106, 50877, 53130, 50335, 60976, 51430, 51177, 50916, 52782, 50459, 51027, 52015, 51062, 50918, 52177, 50916, 50972, 50422, 50877, 51058, 50428, 50916, 51174, 50434, 50877, 52363, 50323, 50896, 50440, 50916, 57785, 50999, 51397, 51050, 52916, 75074, 51884, 50459, 50871, 52731, 52177, 50900, 52063, 50418, 51062, 63339, 50871, 52518, 51062, 51233, 50431, 50900, 60838, 50999, 51363, 50439, 51315, 52256, 50951, 51452, 50447, 51086, 51753, 50453, 50916, 64735, 50989, 51642, 52478, 50861, 51328, 50425, 50916, 70789, 51203, 50433, 51050, 52168, 50434, 51062, 51127, 50440, 50900, 50974, 72785, 50974, 50452, 50900, 51277, 50458, 50871, 51679, 51430, 50893, 51809, 51062, 51175, 50417, 50900, 51481, 50424, 51026, 51542, 51430, 51685, 50431, 50899, 51277, 50437, 50861, 53624, 62804, 50452, 50973, 50907, 51146, 69189, 50861, 50837, 59412, 50968, 52598, 51027, 52528, 50427, 51062, 51283, 50434, 50916, 51074, 50440, 65997, 50446, 50973, 75013, 50876, 51174, 50458, 50861, 51079, 51809, 51027, 51680, 50422, 50916, 51637, 50428, 50877, 51108, 50434, 61661, 50440, 60437, 67655, 51006, 50452, 51027, 51790, 50458, 50916, 51318, 51809, 50877, 51267, 50422, 50973, 63601, 50876, 62500, 50861, 50974, 50440, 51027, 51677, 50447, 50916, 52062, 50453, 50877, 51314, 50460, 50973, 52034, 52591, 50876, 64644, 50951, 59921, 50968, 51314, 50439, 51027, 52168, 51062, 51314, 50446, 50916, 70792, 50877, 68571, 50916, 50974, 51601, 50877, 68636, 51458, 50332, 50937, 56440, 51481, 50968, 51242, 51062, 51212, 50427, 50951, 51077, 51027, 51637, 50428, 51430, 51417, 50433, 50916, 77046, 71869, 65827, 56060, 50931, 51242, 51026, 51194, 50451, 51146, 75817, 50861, 51100, 57289, 51003, 50415, 51050, 51790, 50416, 51062, 51290, 63686, 50845, 73343, 50917, 56014, 51101, 69332, 58000, 77698, 70577, 50900, 69232, 50973, 51939, 50452, 51315, 51330, 50454, 50951, 51127, 50460, 51086, 50892, 52478, 50916, 67078, 50989, 51111, 79580, 59079, 50951, 54400, 50968, 51244, 51027, 51637, 50446, 51062, 51047, 50451, 50916, 71248, 57634, 50461, 50916, 50974, 53069, 64190, 50951, 65799, 50938, 50425, 50968, 51060, 50916, 51309, 51062, 51100, 50430, 50951, 51291, 74769, 51742, 51430, 51336, 59419, 50873, 50443, 64940, 50449, 50916, 62034, 51146, 62125, 50878, 55524, 54604, 51220, 53233, 51315, 51108, 50425, 51487, 52382, 50431, 51086, 65668, 50916, 50917, 50442, 50989, 50873, 50448, 50861, 66941, 50916, 57023, 51315, 51159, 52177, 51086, 63867, 50916, 50873, 50428, 50989, 51242, 50435, 69940, 51430, 59586, 50899, 63653, 50951, 51939, 50452, 51062, 51417, 50453, 51085, 51351, 50454, 51487, 51496, 50461, 51026, 50873, 53069, 50900, 78960, 50899, 51100, 51430, 51173, 50430, 50916, 50795, 51487, 51541, 50431, 51062, 50879, 50436, 50900, 50828, 51430, 70035, 50951, 50884, 51062, 51585, 51279, 50889, 50446, 50951, 77307, 51315, 50917, 50455, 51027, 51060, 57542, 51309, 50421, 50900, 51328, 50428, 50951, 61360, 50876, 51749, 63451, 51692, 50439, 50999, 51218, 50445, 50900, 51328, 73867, 64801, 76531, 66695, 50900, 51309, 51809, 50931, 51095, 50871, 51212, 51062, 51111, 50423, 50999, 72891, 64559, 62225, 50973, 51939, 50432, 51315, 50932, 50433, 50951, 51148, 50440, 51086, 51174, 50445, 50916, 71474, 50989, 51481, 50459, 62007, 52478, 50951, 63726, 50968, 52783, 50428, 51050, 52980, 50430, 51062, 51314, 50436, 50900, 50838, 50442, 50871, 50866, 50448, 50900, 59354, 50871, 74826, 50805, 51430, 64959 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 13305, 483, 7513, 30, 21072, 6, 38668, 2236, 6, 21979, 9590, 6, 8, 38668, 11212, 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, 211, 6, 272, 73, 495, 6, 8, 83, 406, 3639, 7, 63, 17627, 17274, 5466, 6, 150, 12405, 223, 34693, 9, 15073, 5042, 5581, 7, 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 ]	[ 54458, 65679, 50833, 51086, 64912, 50833, 71774, 51098, 50873, 50418, 51028, 54878, 51026, 50833, 51086, 64912, 50833, 71702, 51098, 50873, 50424, 51028, 54156, 51026, 50833, 51086, 64912, 50833, 71702, 51098, 50873, 50430, 51028, 54216, 51026, 50833, 51086, 64912, 50833, 50902, 50873, 51098, 50873, 51057, 62784, 64001, 59755, 50968, 50910, 51150, 50873, 50418, 51001, 50855, 53502, 50833, 64001, 59755, 50968, 50925, 51150, 50873, 50424, 51001, 50855, 53523, 50833, 64001, 59755, 50968, 50925, 51150, 50873, 50430, 51001, 54216, 62784, 64001, 59755, 50968, 50873, 51150, 50873, 64690, 50833, 70947, 59755, 60040, 78690, 51389, 50873, 50418, 50931, 50855, 54569, 50833, 70947, 59755, 60040, 51114, 50925, 51389, 50873, 50424, 50931, 50855, 53337, 50833, 70947, 59755, 60040, 51114, 50873, 51389, 54259, 74654, 70947, 59755, 60040, 51389, 50873, 64690, 50833, 58893, 68530, 65515, 51389, 50873, 50416, 51220, 70630, 50999, 50855, 54569, 50833, 58893, 68530, 65515, 51389, 50873, 50422, 51114, 70884, 50968, 50855, 53337, 50833, 58893, 68530, 74576, 51389, 54259, 74654, 58893, 68530, 51389, 50873, 51057, 51086, 64912, 50833, 58893, 51146, 50910, 51668, 50873, 51925, 62740, 51399, 54878, 51086, 64912, 50833, 58893, 51146, 50925, 51668, 50873, 50424, 51399, 54156, 51086, 64912, 50833, 58893, 51146, 50925, 51668, 50873, 50430, 51399, 54216, 51086, 64912, 50833, 58893, 51146, 50873, 51668, 50873, 51925, 50884, 51057, 62784, 64001, 59755, 51430, 50910, 51150, 50873, 51925, 62740, 51405, 50855, 53502, 50833, 64001, 59755, 51430, 50925, 51150, 50873, 50424, 51405, 50855, 53523, 50833, 64001, 59755, 51430, 50925, 51150, 50873, 50430, 51405, 54216, 62784, 64001, 59755, 51430, 50873, 51150, 50873, 51925, 50884, 64690, 50833, 70947, 59755, 60040, 51787, 50910, 51389, 50873, 51925, 62740, 51339, 50855, 54569, 50833, 70947, 59755, 60040, 51787, 50833, 51389, 60522, 51339, 62782, 51787, 50925, 53337, 50833, 70947, 59755, 60040, 51389, 62554, 51339, 61218, 51787, 54259, 74654, 70947, 59755, 60040, 51389, 50873, 51925, 50884, 52323, 50861, 67844, 51588, 50335, 50937, 52078, 55067, 63197, 64600, 53117, 50937, 50422, 51487, 50925, 53337, 75762, 60701, 59390, 51588, 50334, 50937, 51389, 51056, 58863, 63519, 51814, 78344, 51787, 50925, 57267, 51056, 51487, 51056, 52078, 51056, 58960, 57901, 50949, 52323, 53077, 59771, 53077, 57817, 53863, 51056, 51214, 51417, 51026, 51417, 51098, 51417, 54933, 53116, 55602, 60959, 50943, 52261, 51057, 54985, 57094, 51121, 50973, 64210, 54726, 53223, 53863, 58871, 50873, 64612, 55602, 51458, 50292, 51056, 51461, 51056, 54933, 52667, 53771, 61027, 51121, 52261, 51057, 69940, 50876, 64210, 54726, 53223, 53771, 61027, 50873, 64612, 55602, 51458, 50294, 51056, 51273, 51056, 54933, 52667, 53771, 58871, 51121, 52261, 51057, 53077, 64813, 51121, 80239, 50876, 64210, 54726, 53223, 53250, 58871, 50873, 64612, 56213, 51056, 76341, 73964, 54933, 52667, 50899, 51121, 52261, 51057, 56213, 57094, 51121, 50973, 64210, 54726, 53223, 53077, 58871, 53946, 50841, 53327, 52870, 53771, 51458, 50284, 51056, 51315, 51056, 51493, 51056, 65091, 52667, 53077, 61027, 57094, 62879, 50873, 52261, 51057, 53250, 61027, 57094, 62879, 53946, 51406, 53223, 56213, 61027, 57094, 62879, 56895, 52870, 53077, 51458, 50280, 51056, 51085, 51056, 51461, 51056, 65091, 52667, 53250, 74669, 58800, 56964, 50873, 52261, 73567, 58800, 56964, 53946, 51406, 53223, 54812, 61027, 58800, 56964, 56895, 52870, 56213, 51458, 50282, 51458, 50294, 50873, 51273, 50873, 54933, 52667, 56213, 58871, 57094, 62879, 53946, 54726, 50841, 51057, 53077, 51458, 50282, 51458, 50294, 50873, 51273, 50873, 54933, 53223, 53250, 58871, 64813, 58800, 56964, 53946, 54726, 52870, 56213, 51056, 51214, 51056, 51026, 60959, 61317, 50973, 51056, 73964, 64589, 60368, 52667, 50804, 50841, 52594, 50841, 51057, 51553, 56933, 51456, 53223, 56213, 53376, 50576, 54477, 56213, 53376, 50576, 52870, 55343, 51458, 50284, 51056, 51315, 51056, 51493, 51056, 65091, 52667, 53863, 57094, 58800, 64651, 53946, 59325, 51057, 55602, 57094, 58800, 64651, 53946, 51406, 53223, 53771, 57094, 58800, 64651, 53946, 54726, 52870, 55602, 51458, 50282, 51056, 51120, 51056, 51273, 51056, 65091, 52667, 53077, 64813, 58800, 59353, 53946, 59325, 51057, 50989, 58800, 59353, 53946, 51406, 53223, 55602, 64813, 58800, 59353, 53946, 54726, 52870, 55602, 51458, 50289, 51056, 51027, 51056, 51216, 51056, 65091, 52667, 53771, 61027, 57094, 58800, 64651, 53946, 59325, 51057, 53863, 61027, 57094, 58800, 64651, 53946, 51406, 53223, 55602, 61027, 57094, 58800, 64651, 53946, 54726, 52870, 53077, 51056, 51120, 51111, 50899, 51111, 50989, 51157, 50877, 51157, 50902, 51157, 51389, 50873, 64589, 60368, 52667, 51085, 51121, 50900, 51121, 51150, 50873, 52855, 52897, 50841, 51057, 51324, 51121, 51086, 51121, 51668, 50873, 52855, 52418, 53223, 55062, 50833, 51279, 71942, 50873, 51216, 50873, 52855, 52388, 54477, 54812, 53049, 56213, 50805, 51214, 67860, 57260, 74830, 50805, 51098, 51654, 54499, 53934, 52927, 56213, 50805, 52112, 51057, 53250, 51442, 50289, 69748, 58548, 62838, 57253, 50879, 51216, 50879, 58863, 53347, 53829, 53250, 53417, 53150, 53077, 70786, 70167, 59238, 56294, 58404, 50806, 51668, 50806, 56150, 52586, 52975, 53077, 51575, 50883, 79296, 53771, 51454, 51085, 51454, 50900, 75930, 51454, 50876, 51454, 50968, 51454, 51150, 51454, 58960, 53732, 72086, 55229, 50631, 56213, 51455, 50294, 59537, 57348, 61622, 50845, 51389, 54035, 53784, 53270, 52417, 53077, 50845, 51762, 51057, 53077, 51455, 50282, 51455, 50294, 63327, 63142, 57069, 50845, 51273, 54035, 53784, 53270, 52761, 61594, 50845, 58522, 55062, 51134, 51214, 51134, 51026, 51134, 51086, 51134, 74876, 68856, 51098, 59084, 53784, 57900, 52417, 51224, 53908, 51224, 50820, 51057, 51326, 55138, 51326, 52761, 51289, 53744, 51289, 52639, 50902, 52236, 50299, 50821, 51086, 69858, 50821, 51098, 52090, 51041, 68016, 50951, 51014, 63975, 52236, 50299, 50821, 51086, 69858, 50821, 51098, 50806, 56150, 51041, 59382, 50951, 51014, 51057, 50968, 52236, 50299, 66728, 73235, 50821, 51098, 52090, 51041, 64664, 50951, 51014, 67855, 52236, 50299, 66728, 73235, 50821, 51098, 50806, 56150, 51041, 59013, 50951, 61177, 51114, 50821, 51027, 61805, 59238, 80224, 52090, 51041, 68016, 50968, 67757, 50902, 54053, 51114, 50821, 51027, 61805, 59238, 80224, 50806, 56150, 51041, 59382, 50968, 67066, 50902, 50880, 52323, 50622, 51026, 51055, 51086, 65610, 51055, 76977, 69278, 56150, 56561, 53087, 50631, 53077, 50936, 52135, 50936, 51979, 50936, 55291, 50936, 51224, 52975, 53077, 50936, 52135, 50936, 51979, 50936, 55291, 50936, 51224, 53294, 53863, 51055, 52135, 51055, 51979, 51055, 55291, 51055, 51214, 51285, 51026, 51285, 51098, 51285, 56639, 50883, 51057, 53077, 50806, 52135, 50806, 51979, 50806, 55291, 59238, 68601, 52420, 52893, 53336, 56213, 50806, 52135, 50806, 51979, 50806, 55291, 59238, 68601, 52420, 52893, 53087, 53863, 50806, 52135, 50806, 51979, 50806, 60985, 59238, 68601, 52420, 76652, 55602, 50806, 51643, 50806, 51979, 50806, 55297, 50806, 52206, 51055, 51085, 51055, 51461, 51055, 56639, 50883, 51057, 53771, 50806, 51643, 50806, 51979, 50806, 55297, 78919, 74549, 52893, 53336, 50916, 56294, 74549, 52893, 53087, 53771, 50806 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 15855, 16882, 6, 4246, 21979, 8669, 6, 38668, 11212, 6, 13305, 6, 38668, 22052, 6, 8, 2342, 4467, 6, 7630, 14805, 10, 19448, 8, 5679, 26709, 1619, 5466, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 30853, 23, 41, 1614, 1073, 1020, 20889, 9, 5595, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 14, 1171, 274, 6, 230, 6, 274, 401, 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 ]	[ 57528, 57528, 51405, 53704, 50886, 53861, 52584, 52071, 50872, 52598, 57697, 68086, 52693, 60130, 53465, 60130, 53460, 66898, 51039, 51297, 50909, 52618, 72451, 51000, 51257, 51447, 51361, 51297, 51439, 56329, 50438, 51405, 54109, 53111, 50904, 50909, 58483, 50443, 51649, 55002, 51180, 51297, 50449, 50909, 52011, 51955, 51421, 63340, 55301, 52312, 50321, 54861, 51453, 51297, 50458, 51788, 63298, 50876, 51123, 53019, 59854, 50872, 55490, 76953, 69687, 51697, 50801, 51559, 50904, 52584, 51941, 50416, 53019, 50971, 53729, 51524, 50419, 50909, 52011, 63766, 52782, 59526, 53019, 52946, 50423, 51788, 51470, 50425, 50931, 75381, 50321, 52397, 51768, 52633, 57903, 51438, 56563, 59409, 52440, 50791, 51297, 52138, 52980, 50437, 51405, 50839, 51658, 50867, 52470, 50909, 53010, 51180, 50928, 51257, 54298, 50447, 68860, 50449, 51439, 52397, 51955, 51239, 50813, 55301, 51109, 51032, 55371, 51067, 51319, 50455, 50909, 51432, 51453, 51319, 51438, 65319, 51032, 52514, 50461, 51526, 70336, 61507, 52222, 51257, 50908, 52138, 50982, 57556, 51074, 52693, 66898, 53361, 60130, 55796, 60130, 51438, 51306, 76953, 53243, 53111, 50904, 51526, 52536, 53729, 52011, 50419, 51257, 52025, 51039, 59509, 52403, 51884, 51768, 51044, 64205, 52138, 51961, 51361, 61562, 51405, 50862, 51257, 52618, 51658, 51559, 64101, 52403, 54532, 51180, 67421, 57556, 54211, 51955, 52207, 62802, 51257, 51884, 51453, 51297, 52584, 74304, 50939, 52528, 76953, 53959, 55316, 50971, 51526, 51077, 50419, 51257, 52063, 51039, 64367, 72960, 62475, 62364, 51269, 51768, 52207, 50857, 52403, 52518, 50429, 55543, 79956, 53729, 50864, 51361, 51128, 52138, 58468, 55543, 55270, 53729, 51297, 50436, 53019, 56374, 50437, 51257, 64896, 51405, 54355, 52223, 68937, 52403, 52519, 50444, 50951, 52996, 53861, 52584, 50983, 50449, 51257, 51466, 51955, 51044, 64405, 50931, 52782, 50939, 51524, 56672, 50928, 53679, 52731, 50461, 50876, 56563, 50909, 51000, 51257, 53680, 50323, 55798, 50309, 54171, 53460, 66898, 52693, 60130, 52684, 55597, 76953, 53309, 55181, 50857, 52584, 51945, 50419, 51062, 52440, 50909, 53010, 51039, 58990, 51257, 52059, 51768, 51179, 56657, 52138, 56329, 51361, 67009, 50909, 52397, 50438, 51405, 53959, 51539, 64101, 51257, 51884, 51180, 57855, 51439, 53280, 51955, 51139, 59163, 50909, 53010, 51453, 51128, 76953, 55503, 50886, 52385, 52584, 52069, 50872, 53142, 50419, 50909, 52025, 51039, 64761, 51257, 53010, 51768, 52304, 50836, 53019, 57544, 53729, 51128, 67292, 50431, 51062, 63309, 51649, 54298, 50432, 51339, 53838, 52622, 51064, 51128, 53019, 66129, 51788, 50827, 60265, 50437, 50909, 52618, 50438, 51405, 53309, 51750, 50863, 51438, 55812, 50441, 51067, 50974, 50443, 51257, 52025, 50444, 51339, 52518, 52622, 55796, 55002, 50447, 51438, 51022, 50449, 52138, 51965, 51955, 52304, 50867, 51563, 51470, 50455, 52357, 56374, 50909, 53010, 51453, 50891, 55301, 50854, 51438, 58468, 50459, 57435, 61243, 50872, 51748, 68449, 51126, 51686, 51537, 50331, 53959, 51464, 50864, 52584, 51945, 53465, 55275, 50419, 51606, 51123, 51686, 57262, 52011, 51039, 62973, 51752, 51128, 51565, 50867, 51257, 51470, 51768, 52207, 60155, 51606, 52147, 51686, 51148, 50431, 51439, 52025, 51361, 60622, 50909, 53010, 50438, 51405, 53309, 51464, 61285, 51257, 52063, 50444, 52295, 51423, 52622, 50449, 50909, 52378, 50450, 52471, 51481, 62418, 62802, 51257, 51387, 57697, 51737, 51453, 63917, 52547, 51662, 50461, 51752, 50908, 51565, 50867, 51596, 51126, 51526, 50828, 52403, 53010, 54522, 53678, 53361, 55275, 55796, 55275, 76953, 53309, 51539, 50864, 51526, 51591, 50939, 51293, 50419, 51596, 51000, 51565, 50813, 51257, 51466, 51039, 59509, 51596, 51000, 51606, 50862, 51768, 51179, 50857, 52403, 53010, 50430, 51596, 52407, 51565, 51562, 72164, 57556, 51797, 51438, 51824, 50438, 51405, 53959, 53065, 50886, 51257, 52059, 50442, 52009, 51242, 51180, 50870, 55298, 50943, 56622, 52519, 51438, 54043, 51563, 54088, 50448, 52295, 50987, 50449, 51257, 51333, 51955, 51406, 53922, 52547, 50987, 50455, 52403, 51387, 56672, 63414, 52547, 51939, 50461, 51789, 50891, 51686, 50813, 51606, 51000, 51439, 50870, 52138, 50928, 57556, 50891, 50909, 50870, 51257, 50928, 52403, 50891, 56336, 51129, 76953, 53704, 50886, 53861, 52584, 52071, 50872, 52598, 57697, 59519, 52693, 55275, 53465, 55275, 53460, 58306, 50419, 51606, 51000, 51686, 70421, 51297, 50909, 52618, 50424, 51752, 51126, 51565, 50857, 72451, 51000, 51257, 51447, 50430, 51606, 51703, 51686, 51183, 51361, 51297, 51439, 56329, 50438, 51405, 54109, 53111, 50904, 50909, 58483, 50443, 51649, 55002, 51180, 67676, 51716, 52011, 50449, 50909, 52011, 51955, 51421, 63340, 55301, 52312, 50321, 51737, 51453, 51297, 50458, 51788, 63298, 50876, 50908, 53019, 56842, 51752, 50908, 51596, 51126, 51565, 64052, 51126, 55298, 73819, 50908, 50939, 55490, 51257, 50908, 52403, 51004, 52138, 50982, 54039, 50982, 54522, 59519, 52693, 58306, 53361, 55275, 55796, 55275, 60738, 50834, 76953, 77358, 51697, 50801, 51559, 50904, 51526, 50895, 51526, 51977, 50415, 51716, 53142, 50416, 60738, 50971, 62364, 51524, 50419, 51596, 51128, 51565, 50886, 51257, 52011, 50420, 51081, 52782, 59526, 60738, 52946, 50423, 55543, 51470, 50425, 51596, 51000, 51606, 63297, 75381, 50326, 52397, 51768, 52633, 57903, 53019, 56563, 50431, 51596, 52482, 51565, 77066, 50931, 52440, 50791, 51297, 57556, 52980, 50437, 51405, 50839, 51658, 50867, 52470, 51257, 53010, 50442, 51596, 51123, 51606, 50844, 51180, 50928, 52403, 54298, 50447, 72318, 50448, 51596, 52460, 51565, 51255, 50449, 52138, 54344, 51955, 51239, 50813, 52584, 51109, 51438, 55371, 51563, 51319, 50455, 51257, 51432, 51453, 51319, 53019, 65319, 51438, 52514, 50461, 51606, 51000, 51686, 50862, 55301, 50820, 52584, 50820, 52584, 51356, 51439, 50908, 54039, 50982, 59048, 50870, 50909, 62831, 51244, 50909, 50908, 51439, 50982, 52138, 51074, 52507, 51258, 53465, 51129, 56336, 51129, 53460, 56308, 52693, 53801, 53465, 53801, 51032, 51306, 51563, 51306, 76953, 53243, 53111, 50904, 51563, 52011, 50419, 51673, 50943, 51686, 51333, 50909, 52025, 51039, 59509, 51257, 51884, 51768, 51044, 64205, 51439, 51254, 51361, 70227, 51686, 50928, 51886, 51244, 51606, 52147, 51684, 50895, 51684, 51661, 50848, 51749, 51149, 51852, 56035, 56308, 52583, 53801, 52684, 53801, 50437, 51405, 58434, 52618, 51658, 51559, 64101, 51007, 53280, 51180, 67421, 51649, 52025, 51955, 52207, 62802, 50850, 51074, 51453, 51297, 54144, 74304, 51606, 50891, 51673, 50901, 51686, 50891, 55803, 51481, 52584, 62660, 75472, 50870, 50909, 50870, 51257, 50908, 52138, 50928, 53460, 51258, 52693, 51129, 53465, 51129, 68449, 52511, 50331, 53959, 55316, 50971, 51684, 50846, 51526, 50846, 51526, 51077, 50848, 67804, 50870, 51007, 50908, 51649, 50928, 50939, 51490, 52403, 50908, 57556, 50928, 56035, 51258, 52583, 51129, 52684, 51129, 52693, 56308, 53361, 53801, 55796, 53801, 50418, 54155, 50932, 50419, 51257, 52063, 50420, 51596, 50891, 51565, 50820, 51596, 52996, 51686, 58880, 64367, 72960, 62475, 62364, 51269, 51768, 52207, 50857, 52403, 52518, 50429, 55543, 79956, 51596, 52179, 51606, 50933, 53372, 51079, 53729, 50864, 51361, 51128, 52138, 52782, 55543, 55270, 53729, 51297, 50436, 54155, 51097, 53019, 66643, 51596, 50891, 51606, 50915 ]
[ 0, 250, 8787, 5175, 2125, 19, 10, 2842, 9, 3495, 6, 17407, 30, 63, 2635, 226, 22740, 20889, 8, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 272, 538, 6, 5, 13305, 1239, 5, 483, 6, 32971, 10, 15352, 30054, 5797, 990, 1506, 14, 7630, 6568, 6453, 9, 657, 8, 26545, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 2369, 36546, 4, 20, 15229, 16, 24028, 30, 5, 40286, 272, 8, 1918, 406, 6, 2351, 10, 32625, 8, 20425, 5466, 1328, 63, 3112, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 72191, 50861, 51212, 50900, 60817, 65177, 50629, 50420, 50627, 50876, 51100, 50423, 50627, 50426, 50627, 50968, 51101, 50900, 76371, 61087, 61271, 50629, 50902, 68068, 50627, 50968, 58927, 50931, 51101, 67104, 50900, 59783, 74244, 50627, 50444, 50629, 50445, 50999, 62617, 50627, 50450, 50627, 62440, 65735, 50900, 65300, 51003, 50453, 50627, 50456, 50629, 50459, 50627, 57530, 50902, 51242, 70574, 71527, 50900, 66885, 50627, 50420, 50629, 50421, 50902, 67724, 50627, 50424, 50968, 57818, 50627, 50427, 50902, 51177, 50871, 52188, 50861, 52188, 50900, 70342, 50627, 50432, 50628, 50433, 50968, 61647, 50627, 50438, 50627, 78201, 51309, 50871, 52056, 50861, 52056, 50900, 67302, 50628, 50445, 50973, 52518, 50447, 50627, 50450, 50627, 50451, 50876, 54126, 50308, 51709, 50900, 63821, 51108, 50453, 50627, 50456, 50629, 50457, 50876, 55778, 50459, 50627, 57530, 74354, 55778, 50900, 58556, 50308, 53838, 50417, 50627, 50420, 50627, 50421, 50876, 53010, 50423, 50629, 50426, 50627, 50427, 50968, 54861, 50900, 58556, 50308, 58556, 50311, 53838, 50432, 50627, 50433, 50902, 52167, 50435, 50629, 50436, 50968, 75594, 50627, 50439, 50931, 53010, 50871, 72057, 50861, 72057, 50900, 53838, 50441, 50627, 50444, 50627, 50446, 50999, 51697, 50447, 50629, 50450, 50627, 73867, 53697, 50900, 58556, 50311, 58556, 50323, 52618, 50453, 50627, 50459, 50629, 57530, 75456, 54298, 50871, 55765, 50861, 55765, 50900, 52618, 50417, 50627, 50420, 50627, 50422, 50902, 52167, 50423, 50629, 50425, 50968, 72656, 50627, 50428, 50902, 53010, 50861, 56615, 50871, 54344, 50900, 52397, 50429, 50627, 50432, 50627, 50434, 50968, 51387, 50435, 50629, 50438, 50627, 50440, 50877, 55789, 50871, 54344, 50861, 54344, 50900, 52397, 50444, 50627, 50446, 50973, 54861, 50447, 50629, 50450, 50627, 50452, 50916, 55765, 50861, 55765, 50900, 58556, 50316, 53838, 50453, 50627, 50456, 50627, 50459, 50627, 57333, 50416, 50861, 51277, 50916, 51775, 50900, 51108, 50417, 50627, 68225, 51177, 50423, 50627, 50426, 50629, 50428, 50968, 51242, 50916, 52056, 50861, 52056, 50900, 51108, 50429, 50627, 50432, 50627, 50434, 50902, 66859, 50627, 50437, 50968, 59577, 50629, 50440, 50931, 51242, 62440, 65735, 50900, 51333, 50441, 50627, 50444, 50627, 50447, 50627, 50999, 54058, 50629, 50452, 50871, 52056, 50861, 52056, 50900, 68294, 51003, 50453, 50627, 50456, 50627, 50459, 50627, 56103, 50416, 80039, 50871, 68120, 50900, 51108, 50417, 50627, 50420, 50627, 50423, 50902, 55440, 50628, 50968, 66942, 50627, 50902, 51212, 62440, 50900, 63821, 64809, 50627, 50435, 50627, 50968, 52718, 50629, 50441, 50627, 50877, 51309, 50871, 68120, 50900, 76733, 50627, 50447, 50627, 50973, 52063, 50450, 50627, 50453, 50629, 50876, 54298, 50916, 52996, 71527, 50900, 56109, 50627, 50459, 50627, 50876, 51432, 57530, 50417, 50629, 50861, 54298, 50916, 72057, 50900, 53838, 50420, 50627, 50423, 50627, 50876, 53010, 50426, 50627, 50429, 50629, 50968, 53010, 50916, 53697, 50900, 58556, 50311, 53838, 50432, 50627, 50435, 50627, 50902, 75594, 50968, 52179, 50441, 50629, 50442, 50931, 54126, 50304, 55036, 50309, 55036, 50311, 52397, 50444, 50627, 50447, 50627, 50448, 50999, 63050, 50627, 50453, 50629, 50454, 50871, 61887, 50861, 61887, 50900, 60667, 50323, 52397, 50456, 50627, 50459, 50627, 52177, 50629, 80121, 54126, 50304, 60667, 50309, 60667, 50311, 56123, 50420, 50627, 50423, 50627, 50424, 50902, 72656, 50627, 50427, 50968, 52179, 50429, 50629, 50430, 50902, 54861, 50871, 54836, 50861, 54836, 50900, 52025, 50432, 50627, 50435, 50627, 50436, 50968, 64896, 50627, 50442, 50877, 55789, 50871, 55574, 50861, 55574, 50900, 52618, 50444, 50629, 50447, 50627, 50448, 50973, 54861, 50450, 50627, 50453, 50627, 50454, 50916, 54344, 50900, 58556, 50311, 58556, 50316, 56123, 50456, 50629, 50459, 50627, 57530, 50417, 50627, 50418, 50951, 51775, 50916, 68120, 50900, 57410, 50629, 50423, 50627, 50428, 50968, 66942, 50627, 50430, 50931, 51242, 50871, 51806, 50900, 67278, 70550, 50629, 50435, 50627, 50436, 50902, 53913, 50627, 50441, 50627, 50442, 50916, 51380, 50900, 61087, 63348, 51562, 50444, 50628, 50447, 50627, 50450, 50627, 50453, 50627, 50454, 50916, 51199, 50455, 65735, 50900, 56109, 50628, 50459, 50627, 50460, 50968, 51242, 57530, 50417, 50627, 50419, 50902, 52188, 50899, 51380, 51026, 59783, 60726, 50629, 50423, 50627, 50426, 50627, 50428, 50973, 51365, 50429, 50627, 50431, 50876, 53010, 50900, 51576, 50899, 51709, 51026, 67995, 50627, 50435, 50629, 50437, 50877, 67458, 50627, 50441, 50627, 50443, 50861, 55778, 51086, 51738, 51026, 55036, 50306, 52397, 50444, 50627, 50447, 50629, 50449, 50861, 52946, 50450, 50627, 50452, 50877, 52167, 50453, 50627, 50455, 51086, 54344, 50871, 54344, 50861, 61887, 51026, 56123, 50456, 50627, 50459, 50629, 50461, 50861, 53313, 57530, 50417, 50627, 50419, 50951, 53186, 50304, 60667, 50308, 56123, 50420, 50627, 50423, 50629, 50425, 50968, 68544, 50627, 50429, 50627, 50431, 50931, 57800, 50309, 61887, 50861, 61887, 50900, 56869, 50432, 50627, 50434, 50951, 52192, 50435, 50629, 50437, 50931, 69406, 50627, 50441, 50627, 50902, 51365, 50443, 50916, 68886, 50861, 61887, 50900, 58556, 50316, 53280, 50444, 50627, 50447, 50629, 50450, 50627, 50453, 50627, 50456, 50627, 50916, 68886, 50861, 68886, 50900, 56869, 50459, 50629, 50461, 50968, 53010, 57530, 50417, 50627, 50420, 50627, 50902, 51123, 50899, 68886, 50861, 68886, 51026, 53838, 50423, 50627, 50968, 55124, 50629, 50902, 70545, 50627, 50973, 55011, 50876, 53693, 50304, 55765, 50899, 55765, 51026, 58556, 50310, 53838, 50435, 50627, 50438, 50629, 50877, 51432, 50441, 50627, 50444, 50627, 51086, 55765, 50899, 55765, 51026, 50361, 50831, 50311, 51490, 50447, 50627, 50450, 50629, 50453, 50627, 50456, 51086, 55765, 51026, 55036, 50309, 52397, 57333, 50417, 50627, 50420, 50627, 50951, 51400, 50916, 68120, 50900, 51330, 50423, 50627, 50426, 50629, 50429, 50627, 50430, 50968, 61957, 50627, 50931, 51194, 50871, 51380, 50900, 67278, 51330, 50435, 50627, 50438, 50628, 50902, 70140, 50627, 50444, 50627, 50916, 51199, 65735, 50900, 58327, 51562, 50447, 50627, 50450, 50629, 50453, 50627, 50456, 50627, 50457, 50916, 52056, 50900, 71562, 51333, 50459, 50627, 57289, 51177, 50417, 50629, 50420, 50627, 50421, 50902, 51576, 50899, 51709, 51026, 63821, 51108, 50423, 50627, 50426, 50627, 50429, 50629, 50430, 50973, 66591, 50627, 50433, 50876, 53161, 50900, 51709, 50899, 51709, 51026, 51108, 50435, 50627, 50438, 50627, 78201, 53010, 50441, 50629, 50444, 50627, 50445, 50861, 53186, 50299, 54590, 50303, 54590, 50306, 80189, 50627, 50451, 50861, 51862, 50453, 50629, 50454, 50877, 52179, 50456, 50627, 50457, 51086, 53697, 50861, 55574, 51026, 54590, 50309, 52025, 50459, 50627, 57530, 74354, 51737, 50417, 50629, 50420, 50627, 50421, 50951, 53010, 50916, 72057, 50900, 53838, 50423, 50627, 50426, 50627, 50428, 50968, 51737, 50429, 50629, 50432, 50627, 50433, 50931, 63684, 50309, 61887, 50861, 61887, 50900, 56123, 50436, 50951, 75594, 50627, 50440, 50931, 51862, 50441, 50629, 50443, 50902, 51862, 50444, 50627, 50445, 50916, 55765, 50861, 55765, 50900, 50361, 50831, 50316, 53577, 50447, 50627, 50450, 50627, 50453, 50627, 50456, 50629, 50458, 50916, 69895, 50861, 72057, 50900, 53838, 50459, 50627, 51809, 50968 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 10, 13305, 8, 6755, 12547, 6, 11509, 12049, 9, 657, 8, 11098, 4, 8504, 11, 5, 762, 9, 163, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 1769, 20889, 9, 9680, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 274, 10431, 6, 381, 6, 8, 163, 35315, 5705, 1328, 42, 2214, 9, 7212, 5933, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 59758, 52961, 50956, 50805, 57497, 51264, 51040, 52864, 50956, 52483, 50916, 52605, 50973, 55480, 51040, 52596, 50916, 52961, 50973, 50889, 58066, 63560, 50989, 55112, 50956, 55480, 51086, 52596, 50973, 52961, 51086, 50805, 55547, 51538, 50916, 52864, 51027, 52483, 51040, 52605, 50973, 55480, 51086, 52596, 51315, 53363, 50965, 51077, 55746, 50965, 52605, 50877, 52446, 50965, 52815, 50989, 52596, 50916, 52961, 50956, 50805, 57497, 51264, 51040, 52864, 50956, 52483, 50916, 52605, 50973, 55480, 51040, 52596, 50916, 52961, 50973, 50889, 58066, 63560, 50989, 55112, 50956, 55480, 51086, 52596, 50956, 52961, 50916, 50805, 55547, 51538, 50916, 52864, 51086, 52483, 51040, 52605, 50965, 55480, 51086, 52596, 51841, 53363, 51086, 51077, 50916, 51077, 50965, 51077, 55746, 50973, 52605, 50877, 52446, 50965, 52815, 50989, 52596, 50916, 52961, 50956, 50805, 57497, 51264, 51040, 50805, 51905, 51264, 58097, 52483, 50916, 52605, 50973, 55480, 51040, 52596, 50916, 52961, 50973, 50889, 58066, 51264, 51558, 63560, 50989, 55112, 50956, 55480, 51086, 52596, 50973, 52961, 51086, 50805, 55547, 51538, 50916, 50805, 51284, 51538, 56945, 52483, 51040, 52605, 50973, 55480, 51086, 52596, 51315, 53363, 50965, 51077, 51266, 53363, 55746, 50965, 52605, 50877, 52446, 50965, 52815, 50989, 52596, 50916, 52961, 50956, 50805, 57497, 51264, 51040, 50805, 51905, 51264, 58097, 52483, 50916, 52605, 50973, 55480, 51040, 52596, 50916, 52961, 50973, 50889, 58066, 51264, 51558, 63560, 50989, 55112, 50956, 55480, 51086, 52596, 50956, 52961, 50916, 50805, 55547, 51538, 50916, 50805, 51284, 51538, 56945, 52483, 51040, 52605, 51027, 51141, 51040, 51141, 50916, 64712, 51841, 53363, 51176, 53363, 51086, 53363, 50916, 53363, 51301, 53363, 51266, 53363, 50796, 57497, 51538, 50916, 51141, 50965, 51141, 51028, 51141, 64185, 51141, 50965, 51141, 51028, 64712, 51360, 71734, 52961, 50956, 51141, 50989, 51141, 51028, 51141, 58066, 78907, 50973, 52605, 50956, 68036, 66154, 55480, 50956, 51141, 50989, 51141, 50973, 64712, 51324, 50889, 55547, 51538, 50877, 62036, 61552, 52864, 50968, 55112, 50877, 71734, 66950, 55480, 51147, 52596, 51315, 53363, 50973, 51538, 50968, 51538, 51147, 51538, 61627, 50965, 51077, 50973, 51077, 50968, 51077, 57497, 51538, 50965, 62036, 77438, 52864, 51114, 55112, 50965, 51141, 51028, 51141, 51114, 64712, 51360, 51608, 50322, 52961, 50973, 65439, 51608, 50322, 50889, 58066, 51538, 67855, 55112, 50973, 51141, 50968, 64712, 51324, 71734, 50889, 55547, 51538, 50877, 71734, 66950, 54243, 50968, 52605, 50877, 71734, 66950, 55480, 50968, 52596, 51315, 53363, 50965, 51264, 50973, 51264, 50968, 51264, 76501, 51028, 52961, 51001, 50805, 57497, 51538, 51028, 66950, 51608, 50327, 54243, 51114, 52605, 51028, 51141, 51114, 64712, 51360, 51608, 50322, 52961, 50973, 51141, 51001, 51141, 51147, 51077, 58066, 51538, 50432, 50973, 77438, 52446, 50973, 51077, 50968, 66336, 51324, 50889, 55547, 51538, 50877, 62036, 61552, 52864, 50968, 55112, 50877, 71734, 66950, 55480, 50968, 52596, 51315, 53363, 50965, 51538, 50973, 51538, 50968, 51538, 61627, 50965, 51141, 50973, 51141, 50968, 51141, 50456, 50973, 50805, 57497, 51538, 50965, 71734, 51608, 50322, 54243, 51114, 52605, 50965, 51141, 51028, 51141, 51114, 64712, 51360, 51608, 50322, 52961, 50973, 65439, 51608, 50322, 50889, 58066, 51538, 67855, 55112, 50973, 66950, 55480, 50973, 51141, 50968, 64712, 51324, 50889, 55547, 51538, 51028, 66950, 78599, 54243, 50999, 52605, 51028, 66950, 78599, 55480, 51147, 52596, 51315, 51538, 51147, 52961, 51114, 50805, 57190, 66154, 66950, 55112, 50968, 52446, 51315, 51077, 50968, 51608, 50324, 51608, 50327, 55082, 51147, 50805, 51301, 52961, 51028, 51077, 50968, 51077, 51147, 51077, 51426, 50805, 57497, 51538, 51794, 52864, 51426, 52483, 51301, 52605, 50965, 51623, 51028, 51623, 50968, 51623, 51357, 55480, 51794, 52596, 51360, 50889, 51301, 52961, 51357, 50889, 58066, 51538, 50956, 51538, 50989, 51538, 50973, 51538, 50420, 51491, 55112, 51426, 55480, 52065, 52596, 51324, 50889, 51357, 52961, 50968, 50805, 52065, 50805, 55547, 51538, 51028, 51141, 50968, 51141, 50999, 51141, 51301, 52864, 51883, 52483, 51794, 52605, 51028, 66950, 51608, 50324, 50889, 51357, 55480, 51114, 50805, 52065, 52596, 51315, 51538, 50965, 51141, 50973, 51141, 51114, 51141, 51375, 51077, 52591, 50965, 51141, 50973, 51141, 50968, 74978, 51375, 52605, 51113, 52446, 51315, 51077, 50968, 51608, 50324, 51608, 50327, 50889, 51375, 52815, 51491, 52596, 51147, 50805, 51301, 52961, 51028, 51077, 50968, 51077, 51147, 51077, 51426, 50805, 57497, 51538, 51794, 52864, 51426, 52483, 51301, 52605, 50965, 51623, 51028, 51623, 50968, 51623, 51357, 55480, 51794, 52596, 51360, 50889, 51301, 52961, 51357, 50889, 58066, 51538, 50956, 51538, 50989, 51538, 50973, 51538, 50420, 51491, 55112, 51426, 55480, 52065, 52596, 51324, 50889, 51426, 52961, 50973, 50805, 51301, 50805, 55547, 51538, 50877, 71734, 66950, 50889, 51301, 52864, 52065, 52483, 50968, 50805, 51794, 52605, 50877, 71734, 66950, 50889, 51375, 55480, 50968, 50805, 52065, 52596, 51315, 53363, 50965, 51264, 50973, 51264, 50968, 51264, 52065, 51077, 51301, 51077, 51375, 51077, 76501, 51028, 52961, 51001, 50805, 57497, 51538, 50916, 51141, 50965, 51141, 51028, 51141, 51905, 51264, 64185, 51141, 50965, 51141, 51028, 52446, 51028, 55082, 51360, 71734, 52961, 50956, 51141, 50989, 51141, 51028, 51141, 58066, 51538, 51558, 51264, 50426, 50973, 52605, 50956, 68036, 66154, 52446, 50973, 52815, 50956, 51141, 50989, 51141, 50973, 64712, 51324, 50889, 55547, 51538, 50877, 62036, 61552, 50805, 51284, 51538, 67855, 55112, 50877, 71734, 66950, 55480, 51147, 52596, 51315, 53363, 50973, 51538, 50968, 51538, 51147, 51538, 51266, 53363, 61627, 50965, 51077, 50973, 51077, 50968, 51077, 57497, 51538, 50965, 62036, 77438, 50805, 51905, 63560, 51114, 55112, 50965, 51141, 51028, 51141, 51114, 64712, 51360, 51608, 50322, 52961, 50973, 65439, 51608, 50322, 50889, 58066, 51538, 51558, 63560, 50968, 55112, 50973, 51141, 50968, 64712, 51324, 71734, 50889, 55547, 51538, 50877, 71734, 78599, 50889, 51284, 78907, 50999, 52605, 50877, 71734, 78599, 55480, 51147, 52596, 51315, 53363, 50965, 51264, 50973, 51264, 51147, 51264, 51266, 53363, 66243, 51028, 52446, 51220, 55082, 51028, 50805, 51220, 52961, 51001, 50805, 51220, 51141, 57497, 51538, 51028, 66950, 50889, 51905, 51264, 50426, 51114, 52605, 51028, 51141, 51114, 64712, 51360, 51608, 50322, 52961, 50973, 51141, 51001, 51141, 51114, 51077, 58066, 51538, 51558, 51264, 50432, 50973, 77438, 52446, 50973, 51141, 50968, 66336, 51324, 55069, 50973, 50805, 55547, 51538, 50877, 62036, 61552, 50805, 51284, 51538, 67855, 55112, 50877, 71734, 66950, 55480, 50968, 52596, 51315, 53363, 50965, 51538, 50973, 51538, 50968, 51538, 51266, 53363, 61627, 50965, 51141, 50973, 51141, 50968, 51141, 50456, 50973, 50805, 57497, 51538, 50965, 71734, 51608, 50322, 50889, 51905, 51264, 50426, 51114, 52605, 50965, 51141, 51028, 51141, 51114, 64712, 51360, 51608, 50322, 52961, 50973, 65439, 51608, 50322, 50889, 58066, 51538, 51558, 63560, 50968, 55112, 50973, 66950, 55480, 50973, 51141, 50968, 64712, 51324, 50889, 55547, 51538, 51028, 66950, 78599, 50889, 51284, 78907, 50999, 52605, 51028, 66950, 78599 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21072, 6, 326, 5638, 18026, 6, 8, 3459, 9590, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 211, 6, 274, 10431, 6, 163, 119, 6, 211, 406, 6, 8, 272, 3639, 7, 63, 17627, 17274, 8, 19448, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 66243, 52060, 53263, 52060, 52877, 52060, 52815, 50861, 50911, 51553, 53562, 50877, 51500, 51553, 52961, 51224, 50805, 51553, 50845, 52563, 52195, 50973, 53275, 50318, 51227, 50861, 66154, 68518, 70022, 61725, 57338, 55099, 50920, 55054, 50920, 53450, 50973, 60910, 67005, 53308, 50801, 58553, 54938, 51213, 51541, 50973, 52370, 50298, 51048, 50956, 73450, 60939, 65439, 51016, 50920, 53704, 52692, 50861, 51030, 50920, 55437, 50973, 60910, 57338, 53702, 51213, 52370, 50315, 51496, 50920, 50972, 53400, 51551, 51315, 51189, 50968, 51343, 50973, 66914, 57338, 55099, 51086, 51738, 50920, 55054, 50920, 50844, 51768, 53127, 53308, 50973, 56365, 54390, 53264, 50927, 51551, 50902, 53177, 50306, 51351, 51026, 78776, 51364, 50973, 63524, 57338, 53969, 50920, 55437, 50973, 70693, 57338, 53702, 50861, 53241, 50920, 50972, 54272, 52017, 50916, 51417, 50876, 52392, 51026, 52392, 50861, 51894, 50801, 53765, 50951, 52633, 79411, 50951, 52640, 50304, 51446, 50438, 50951, 56160, 50968, 51139, 59827, 50968, 50961, 52288, 52017, 50968, 51379, 50989, 51358, 50902, 51941, 50877, 51585, 51378, 51933, 50801, 52774, 50804, 50845, 51302, 52605, 50804, 52322, 50804, 53999, 50899, 72885, 52596, 50989, 56956, 50845, 52721, 51014, 56871, 50805, 51756, 51014, 52563, 51541, 50899, 51391, 50861, 51623, 50902, 51685, 50973, 51623, 51026, 51538, 51718, 51015, 50806, 51760, 51354, 51039, 51074, 51768, 51239, 50901, 51760, 65846, 50953, 52640, 50306, 73841, 52839, 51074, 51760, 51573, 53758, 51551, 51718, 51015, 52692, 50861, 55744, 51074, 51955, 51575, 50901, 51453, 51074, 55194, 51551, 51086, 51103, 50956, 51183, 50989, 51623, 50973, 51623, 51001, 51623, 51718, 51015, 50806, 51039, 51074, 51768, 52201, 50901, 51361, 59171, 50845, 53399, 58395, 51415, 51090, 51718, 51015, 50806, 52235, 57816, 51086, 53417, 51074, 51992, 56827, 51105, 53177, 50310, 71074, 51041, 50901, 52678, 50923, 51453, 51074, 51971, 52311, 53400, 51541, 50861, 51294, 51086, 73757, 51896, 51315, 51161, 51718, 51015, 50806, 51039, 51074, 51768, 51239, 54777, 51019, 79232, 66408, 51362, 51895, 51015, 53264, 51019, 51551, 50801, 51575, 69692, 50861, 57536, 51086, 54196, 56989, 50956, 50367, 51698, 51575, 50901, 51971, 50923, 51453, 51074, 51850, 51552, 52563, 51496, 50899, 51362, 78433, 50973, 51446, 50931, 51196, 51026, 51585, 51718, 51015, 50806, 51039, 51074, 51768, 51239, 54777, 51011, 53177, 50303, 51496, 50801, 52839, 51074, 53399, 50923, 51658, 51575, 50901, 52235, 57816, 50953, 53275, 50318, 51575, 51074, 51992, 56827, 51415, 51566, 50899, 50940, 50903, 51575, 50901, 52678, 50923, 51453, 51074, 51971, 51552, 54272, 51541, 50861, 51189, 50876, 51413, 50968, 51661, 51026, 51941, 50801, 51575, 50901, 51039, 51074, 51768, 51239, 50901, 51971, 57067, 50953, 52640, 50308, 73503, 52839, 51074, 51756, 58395, 51133, 51551, 51718, 51015, 50806, 51971, 57816, 50861, 55271, 51074, 51992, 51054, 51955, 51041, 50901, 51453, 51074, 52678, 51552, 56540, 51496, 50899, 51218, 50989, 51446, 50902, 51941, 50877, 51941, 50801, 51575, 50901, 51039, 51074, 51768, 51239, 54777, 51011, 77506, 61986, 52839, 51074, 51760, 58395, 51271, 51496, 51718, 51015, 50806, 52678, 57816, 51120, 63576, 51074, 51992, 50923, 56279, 50923, 55347, 50901, 52235, 57241, 51011, 54065, 51074, 51760, 52311, 52563, 51541, 50899, 51294, 50973, 51417, 50902, 51336, 50861, 51336, 51026, 51933, 50801, 51575, 50901, 51039, 51074, 51768, 51239, 54777, 50953, 52640, 50303, 51294, 51895, 51015, 53264, 50953, 51551, 51718, 51015, 50806, 51180, 51074, 51955, 51041, 50901, 51453, 51074, 51760, 50923, 52288, 51541, 50899, 60015, 52530, 50318, 52297, 50294, 51091, 50989, 73841, 50896, 51971, 50923, 53085, 58808, 51760, 50923, 53399, 50923, 51768, 50896, 51971, 50923, 53085, 57067, 50927, 52282, 51120, 62571, 51362, 50899, 51362, 50989, 51294, 50877, 51362, 51760, 51552, 52235, 51552, 51658, 52704, 50808, 53525, 53103, 50816, 52610, 51553, 50805, 52721, 57241, 51224, 50845, 51756, 50923, 52563, 51573, 50899, 51419, 50902, 51294, 50861, 51191, 50973, 51241, 51026, 51894, 51838, 76914, 51575, 50901, 51760, 51054, 51039, 51074, 51768, 52201, 50901, 51760, 57067, 50953, 52640, 50315, 51427, 50861, 57231, 52839, 51074, 51760, 51552, 53758, 51551, 50801, 51575, 50901, 51180, 54419, 55876, 50920, 53567, 51086, 50940, 55347, 56169, 50849, 51453, 56275, 50972, 55194, 51551, 51086, 51362, 50989, 51364, 51001, 51285, 50973, 51336, 53541, 51542, 52332, 51097, 52187, 51097, 52340, 68108, 51575, 50901, 51039, 51074, 51768, 52201, 54777, 51086, 51294, 51895, 51015, 50845, 53399, 58395, 51415, 67812, 51575, 50901, 52235, 57816, 50989, 50893, 51895, 51035, 50844, 51992, 50923, 61296, 53567, 51105, 53177, 50303, 50830, 55347, 56169, 50849, 52678, 50923, 51453, 56275, 50972, 51971, 52311, 53400, 51541, 50973, 51623, 50968, 51977, 51315, 51933, 56617, 51542, 51615, 51542, 52187, 51542, 52225, 51477, 51718, 51015, 50806, 51039, 55752, 51026, 51158, 59491, 54777, 51019, 52640, 50303, 67812, 52839, 55659, 51019, 51551, 50801, 51575, 55945, 51026, 51173, 51895, 51035, 55876, 50920, 50851, 51955, 51041, 56169, 50849, 51992, 50923, 51453, 54419, 50972, 51850, 51552, 52563, 51496, 50861, 51417, 50973, 51417, 50931, 51356, 50902, 51077, 51026, 52500, 53817, 51477, 51615, 51542, 52187, 51477, 52036, 51542, 51718, 51015, 50806, 51039, 51074, 51768, 51239, 54777, 51011, 53177, 50306, 73503, 52839, 51074, 53399, 50923, 51658, 51575, 50901, 52235, 57816, 50953, 53275, 50318, 50835, 50973, 61381, 51343, 51895, 51035, 50844, 51992, 50923, 61296, 53567, 51415, 51566, 51086, 51215, 55347, 56169, 50849, 52678, 57241, 50902, 50923, 51895, 51035, 50972, 51971, 51552, 54272, 51541, 50900, 51189, 50861, 51446, 50968, 51336, 50876, 51336, 51085, 51977, 52133, 51477, 51615, 51749, 51711, 51749, 52225, 51749, 51718, 51015, 50806, 51039, 51074, 51768, 51239, 50901, 51971, 57067, 50953, 52640, 50304, 51274, 51895, 51015, 50845, 51756, 58395, 51133, 51551, 50801, 51575, 50901, 51971, 57816, 50861, 51215, 51895, 51035, 50844, 51992, 51054, 61296, 53567, 51085, 65465, 51041, 56169, 50849, 51453, 54419, 50972, 52678, 51552, 56540, 51496, 50899, 51446, 50989, 51472, 50902, 51336, 50877, 51977, 57633, 51244, 52332, 51244, 51656, 51244, 51838, 51244, 51718, 51015, 50806, 51039, 51074, 51768, 51239, 54777, 51011, 52370, 50294, 67607, 52839, 51074, 51760, 58395, 51271, 51496, 51718, 51015, 50806, 52678, 50923, 55989, 51173, 51895, 51035, 50844, 51992, 50923, 61296, 53567, 50989, 60629, 51041, 56169, 50849, 52235, 57241, 51011, 54065, 56275, 50972, 51992, 56073, 52563, 51541, 50899, 51318, 51026, 51991, 50902, 52392, 50861, 51605, 50973, 51945, 53817, 52015, 51881, 52015, 51615, 52015, 52187, 52015, 51718, 51015, 50806, 51039, 51074, 51768, 52201, 54777, 50953, 52640, 50303, 80171, 52839, 51074, 55208, 51551, 50801, 51575, 50901, 51180, 54419, 55876, 50920, 53567, 50899, 51212, 55347, 56169, 50849, 51453, 56275, 50972, 52563, 52017, 50973, 51358, 50861, 51358, 51026, 51933, 51206, 70303, 52060, 53263, 52060, 52729, 52060, 52692, 51553, 53562, 51224, 75615, 52961, 51224, 50845, 51992, 50923, 54272, 53177, 50304, 64464, 51623, 50876, 51486, 50968, 51161, 51026, 51941, 52033, 51445, 51718, 51015, 50806, 51992 ]

[ 0, 250, 15352, 30054, 8, 5679, 26709, 5175, 2125, 19, 3495, 16882, 6, 4246, 21979, 8669, 6, 2342, 4467, 6, 3551, 139, 6, 6755, 12547, 6, 8, 3459, 9590, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 163, 5683, 4, 20, 15229, 7630, 6568, 10, 19448, 5466, 19, 17878, 9, 1619, 8, 657, 6, 25, 24, 30853, 81, 10, 6143, 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 ]

[ 54458, 50433, 53011, 51060, 51570, 62078, 54648, 51060, 50443, 50852, 54255, 54358, 51060, 50448, 51762, 50454, 50945, 51422, 52693, 52335, 54165, 52335, 59624, 51358, 52428, 51865, 53902, 78334, 51809, 50872, 50845, 76356, 79168, 51544, 55882, 50903, 52565, 55851, 51112, 50872, 51025, 75251, 51471, 50443, 62835, 50448, 51019, 51422, 53278, 52335, 52507, 52335, 54358, 51358, 53804, 57297, 50885, 51047, 50459, 50868, 67567, 58077, 51471, 51809, 50939, 51397, 50422, 55722, 52844, 55851, 51048, 69014, 50433, 56270, 62835, 50443, 50945, 51422, 54165, 56235, 54648, 55956, 73739, 59698, 50885, 51422, 50454, 50872, 50845, 72446, 75092, 51809, 51340, 51502, 56171, 61814, 63588, 50437, 52093, 53357, 66099, 58829, 50885, 51025, 50448, 54648, 51048, 63588, 60786, 57208, 79168, 50458, 52093, 50459, 51069, 51134, 56991, 51112, 50903, 50818, 51601, 51471, 52906, 57466, 55851, 51048, 50872, 66038, 51471, 76752, 53840, 52417, 51096, 51422, 53361, 52335, 70774, 51291, 53804, 53219, 51017, 51109, 50442, 51471, 50443, 63588, 50448, 50939, 51047, 50452, 52093, 50454, 59885, 51291, 50903, 53902, 63588, 51809, 51017, 51025, 76356, 63588, 50427, 51069, 51714, 52684, 52335, 55769, 51358, 53804, 52844, 51017, 60610, 50872, 53840, 51437, 58616, 50850, 51397, 50448, 50903, 57868, 52093, 50459, 59885, 51048, 78550, 50460, 51471, 51809, 51017, 74027, 51096, 51422, 53361, 56235, 63312, 51048, 53804, 55882, 51017, 51452, 50432, 70774, 51605, 63588, 56270, 50939, 51397, 50442, 52093, 50443, 50903, 53545, 51471, 50454, 78550, 50459, 50945, 63593, 50845, 51809, 51133, 50866, 61246, 57466, 51186, 51422, 51017, 68988, 51471, 50427, 70774, 51048, 50872, 53840, 52417, 76878, 50436, 62246, 63312, 51112, 50903, 53905, 67534, 56345, 50448, 56991, 51048, 79934, 50452, 51471, 50454, 50798, 54359, 51105, 51714, 53953, 52335, 54165, 52335, 55851, 51358, 53804, 50828, 51809, 51037, 51422, 50421, 76356, 50979, 51134, 50427, 50939, 51397, 50431, 76372, 50903, 58408, 51471, 50443, 70774, 51048, 76322, 50448, 50979, 51109, 50454, 51105, 51422, 52507, 52335, 53361, 52335, 54358, 51358, 53804, 54370, 51037, 51047, 51809, 51017, 67567, 65666, 56856, 79168, 50427, 55722, 58414, 56991, 51048, 51017, 61148, 51471, 50443, 51037, 50866, 50448, 51325, 51422, 53953, 56235, 54165, 56235, 55851, 51605, 53804, 54363, 50885, 51452, 50459, 50979, 50866, 51471, 51809, 50847, 51452, 50421, 51340, 51502, 52209, 50979, 51109, 51471, 50437, 50885, 50845, 50442, 52093, 50443, 51325, 71382, 59698, 50885, 51452, 50453, 55851, 51048, 50979, 50845, 60786, 54359, 79168, 51601, 52093, 50416, 70774, 51048, 50903, 59335, 56982, 50852, 55882, 55851, 51112, 50979, 51025, 50430, 51471, 51974, 56305, 50953, 51422, 52693, 52335, 53361, 52335, 56991, 51358, 53804, 59117, 51017, 51452, 50447, 51471, 50448, 50872, 51397, 50453, 50939, 51134, 50457, 52093, 50458, 50903, 50818, 55753, 55851, 51048, 76322, 56457, 51017, 53387, 50964, 51422, 53278, 52335, 52507, 52335, 54850, 51358, 53804, 58414, 50885, 51422, 50442, 50868, 66099, 58780, 51471, 50448, 50939, 51134, 50453, 50903, 57109, 52093, 51809, 56991, 51112, 76877, 80077, 50868, 54278, 50945, 51422, 52693, 54249, 54165, 54249, 54648, 55956, 55882, 76372, 50885, 51047, 50437, 63588, 51471, 50442, 79168, 50448, 55722, 57461, 78550, 51471, 51809, 50964, 56566, 50845, 51039, 57987, 50953, 53840, 52905, 50945, 51452, 50885, 51397, 50431, 61814, 50872, 54035, 56305, 75242, 51572, 59117, 50903, 60794, 78550, 51456, 54944, 50885, 51025, 51326, 57461, 50798, 50820, 51809, 51186, 51422, 52428, 51865, 50818, 52184, 51048, 50421, 51017, 51397, 50426, 63588, 51471, 52170, 51291, 50432, 50939, 51452, 50436, 52093, 50437, 50903, 58408, 63588, 50448, 51017, 51109, 51471, 51783, 51048, 50453, 79934, 50458, 51325, 51422, 53804, 50828, 51567, 51112, 51809, 51017, 51397, 50421, 50872, 54035, 50820, 51722, 51291, 50422, 56457, 50939, 72816, 55722, 58414, 76322, 50442, 51017, 51025, 53444, 51112, 50443, 51471, 50448, 63588, 50453, 50953, 51422, 67003, 51722, 51048, 50454, 52093, 50458, 50885, 51047, 51809, 70987, 51471, 51986, 51048, 50421, 50939, 72270, 51340, 51502, 50818, 51555, 51112, 50437, 69014, 51471, 51783, 51048, 50442, 62835, 51618, 59698, 51019, 71382, 54363, 50885, 51109, 50458, 51017, 54035, 51437, 50829, 51809, 76877, 51039, 57987, 51017, 70571, 58423, 56457, 50885, 72416, 50852, 52844, 51037, 57815, 51471, 50437, 50885, 53840, 58655, 50964, 51422, 53804, 61425, 51471, 50453, 50988, 51397, 50799, 52093, 50416, 50885, 51101, 50903, 58158, 72419, 59812, 50901, 61814, 51019, 72300, 51332, 51534, 50437, 50953, 50866, 53804, 53219, 50885, 51312, 50988, 51283, 50440, 50868, 51363, 50442, 51133, 51452, 50443, 70249, 50448, 50909, 58747, 56399, 54786, 51388, 50903, 50818, 51601, 52093, 50417, 52861, 51388, 50421, 56345, 50424, 52387, 51388, 51544, 56657, 51756, 52097, 50945, 51397, 54165, 52335, 52428, 51865, 56359, 78334, 50442, 63588, 67534, 50847, 50845, 50452, 52093, 50453, 51756, 51388, 50903, 56637, 78334, 50460, 51756, 51388, 51601, 50872, 50845, 51471, 50419, 51756, 51388, 50421, 50945, 50866, 50847, 53840, 57074, 61862, 51756, 51573, 51096, 51422, 52583, 52335, 53361, 52335, 50798, 59185, 51037, 51134, 50436, 51471, 50437, 57140, 50442, 51760, 51021, 63588, 50446, 80190, 52861, 51454, 50903, 56086, 51471, 50453, 51037, 59084, 52579, 56345, 50458, 52387, 51603, 50848, 51025, 50799, 51471, 76750, 55085, 51756, 56073, 50945, 51397, 54165, 56235, 53804, 52905, 78334, 50430, 51471, 50431, 63588, 52795, 50865, 50436, 50847, 50845, 52494, 50795, 51572, 59117, 56496, 51112, 50903, 53641, 78334, 50452, 79934, 54650, 51048, 51471, 50458, 50945, 50866, 50847, 53840, 50820, 51601, 50945, 51397, 52795, 51161, 53804, 52981, 50885, 72038, 63588, 51471, 50431, 57420, 50436, 54786, 51388, 50903, 56359, 52093, 50442, 50885, 59486, 52616, 52861, 51388, 50447, 63588, 50448, 51471, 50451, 52387, 51388, 50452, 50945, 56566, 54667, 70634, 52280, 51573, 51096, 51397, 53361, 56235, 53804, 50828, 51601, 51037, 51134, 58082, 51109, 56457, 50847, 50845, 50431, 52280, 51388, 51340, 51502, 58024, 51037, 67082, 52280, 51388, 50442, 73304, 52795, 51048, 51471, 50445, 52280, 51388, 50447, 51096, 50866, 50847, 53840, 60752, 52280, 51573, 51228, 51422, 54568, 51161, 61246, 57461, 51037, 51134, 51601, 51756, 51603, 51017, 51025, 51471, 50420, 57420, 50425, 61862, 52861, 72633, 54013, 51471, 50431, 53037, 51021, 51037, 59084, 53908, 56345, 50436, 53037, 51454, 51017, 51109, 50440, 51471, 50442, 50847, 59956, 52861, 53435, 50945, 51397, 54165, 56235, 53804, 61425, 78334, 50457, 51471, 50458, 50872, 50845, 52795, 51048, 51601, 57420, 50419, 52093, 50420, 53602, 51112, 50903, 52437, 78334, 50431, 50872, 50845, 52795, 51048, 51471, 50436, 50945, 50866, 50847, 53840, 58655, 50945, 51397, 56496, 51161, 53804, 54255, 78334, 50452, 63588, 50453, 51471, 50458, 57420, 51601, 52387, 51388, 51093, 50845, 55722, 52981, 78334, 51201, 53840, 56818, 51756, 75274, 63588, 51182, 50866, 51471, 50429, 51850, 51388, 50431, 50945, 54667, 50845, 51304, 50845, 50436, 51992, 52097, 51096, 51397, 53361, 56235, 50798, 58414, 52093, 50442, 51037, 51134, 50447, 51017, 51109, 51471, 50452, 57420, 50457, 52093, 50458, 51992, 51388, 50903 ]

[ 0, 713, 8787, 5175, 15229, 16, 10, 13363, 28191, 3251, 149, 15352, 30054, 8, 20425, 2369, 3866, 22179, 6, 19, 10, 2842, 9, 15073, 8, 10, 11299, 16464, 4, 20, 13602, 6757, 1239, 5, 483, 6, 2800, 30, 38668, 9590, 6, 21979, 8669, 6, 3741, 27374, 594, 6, 8, 38668, 22052, 6, 70, 1375, 23, 10, 20902, 12701, 4450, 20889, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 274, 3694, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 230, 119, 6, 272, 119, 6, 1918, 406, 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 ]

[ 63515, 50796, 50799, 52479, 50800, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 62716, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 54183, 52479, 50874, 54551, 51470, 55925, 51470, 57605, 51470, 56348, 51254, 58328, 51254, 59523, 69925, 52479, 50907, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 60481, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 53962, 52479, 50800, 54551, 51470, 55925, 51470, 57605, 51470, 56348, 51254, 58328, 51254, 59523, 70448, 52479, 50874, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 60895, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 54485, 52479, 50907, 54551, 51470, 55925, 51470, 57605, 51470, 56348, 51254, 58328, 51254, 59523, 67042, 52479, 50800, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 60491, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 54059, 52479, 50874, 54551, 51470, 55925, 51470, 57605, 51470, 56348, 51254, 58328, 51254, 59523, 51254, 50799, 53714, 50800, 52479, 50907, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 62716, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 54183, 53714, 50874, 54607, 51470, 54551, 51470, 55925, 51470, 54677, 51254, 56348, 51254, 58328, 69925, 53714, 50984, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 60481, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 53962, 53714, 50800, 54607, 51470, 54551, 51470, 55925, 51470, 54677, 51254, 56348, 51254, 58328, 70448, 53714, 50874, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 60895, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 54485, 53714, 52101, 53112, 50800, 54607, 51470, 54551, 51470, 55925, 51470, 54677, 51254, 56348, 51254, 58328, 67042, 53112, 52101, 52479, 50800, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 60491, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 54059, 53112, 51252, 52479, 50874, 54607, 51470, 54551, 51470, 55925, 51470, 54677, 51254, 56348, 51254, 58328, 51254, 50799, 53112, 50800, 52479, 51123, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 62716, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 54183, 53112, 50874, 55361, 51470, 54222, 51470, 56791, 51470, 56699, 51254, 55443, 51254, 59917, 69925, 53112, 50984, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 60481, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 53962, 53112, 50800, 55361, 51470, 54222, 51470, 56791, 51470, 56699, 51254, 55443, 51254, 59917, 70448, 53112, 50874, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 60895, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 54485, 53112, 50984, 55361, 51470, 54222, 51470, 56791, 51470, 56699, 51254, 55443, 51254, 59917, 67042, 53112, 50800, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 60491, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 54059, 53112, 50874, 55361, 51470, 54222, 51470, 56791, 51470, 56699, 51254, 55443, 51254, 59917, 51254, 50799, 53112, 51123, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 62716, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 54183, 53112, 51851, 55361, 51470, 54222, 51470, 56791, 51470, 56699, 51254, 55443, 51254, 59917, 69925, 53112, 50800, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 60481, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 53962, 53112, 50874, 55361, 51470, 54222, 51470, 56791, 51470, 56699, 51254, 55443, 51254, 59917, 70448, 53112, 50984, 53112, 50800, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 60895, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 54485, 53714, 50800, 53112, 51252, 55361, 51470, 54222, 51470, 56791, 51470, 56699, 51254, 55443, 51254, 59917, 67042, 53292, 50800, 53714, 51269, 53112, 51123, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 60491, 55361, 51004, 54222, 51004, 56791, 51004, 56699, 50928, 55443, 50928, 59917, 54059, 53714, 52101, 53015, 51022, 55361, 51470, 54222, 51470, 56791, 51470, 56699, 51254, 55443, 51254, 59917, 51254, 53028, 50961, 52479, 50800, 53015, 51832, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 50928, 51402, 50820, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 74236, 54857, 53104, 50604, 50808, 52479, 50874, 54551, 51470, 55925, 51470, 57605, 51470, 56348, 51254, 58328, 51254, 59523, 51254, 50423, 51468, 51544, 50930, 52479, 50907, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 50928, 51532, 50835, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 50928, 51361, 56691, 50385, 52581, 50858, 52479, 50800, 54551, 51470, 55925, 51470, 57605, 51470, 56348, 51254, 58328, 51254, 59523, 51254, 51556, 79932, 50930, 52479, 50874, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 50928, 51572, 50857, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 74096, 55692, 50385, 52581, 50880, 52479, 50907, 54551, 51470, 55925, 51470, 57605, 51470, 56348, 51254, 58328, 51254, 59523, 51254, 50447, 51468, 52320, 51033, 52479, 50800, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 50928, 51647, 50941, 54551, 51004, 55925, 51004, 57605, 51004, 56348, 50928, 58328, 50928, 59523, 50928, 51453, 54857, 66835, 50880, 52479, 50874, 54551, 51470, 55925, 51470, 57605, 51470, 56348, 51254, 58328, 51254, 59523, 51254, 51621, 50836, 53028, 50961, 53714, 50800, 52479, 51022, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 50928, 51402, 50820, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 74236, 54857, 53104, 50604, 50808, 53714, 50874, 54607, 51470, 54551, 51470, 55925, 51470, 54677, 51254, 56348, 51254, 58328, 51254, 50423, 51468, 51544, 50930, 53714, 50984, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 50928, 51532, 50835, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 50928, 51361, 56691, 50385, 52581, 50858, 53714, 50800, 54607, 51470, 54551, 51470, 55925, 51470, 54677, 51254, 56348, 51254, 58328, 51254, 51556, 79932, 50930, 53714, 50874, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 50928, 51572, 50857, 54607, 51004, 54551, 51004, 55925, 51004, 54677, 50928, 56348, 50928, 58328, 74096, 55692, 50385, 52581, 50880, 53714, 51832, 53112, 50800, 54607, 51470, 54551, 51470, 55925, 51470, 54677, 51254, 56348, 51254, 58328, 51254, 50447, 51468, 52320, 51033 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 15855, 15229, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 155, 73, 398, 86, 6543, 4, 20, 2125, 3136, 23, 10, 38451, 3938, 20889, 6, 7630, 14805, 10, 1472, 9, 15073, 150, 6780, 41, 20425, 223, 28311, 4, 20, 33215, 16739, 1171, 1918, 406, 6, 211, 119, 6, 272, 406, 6, 230, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 52323, 50628, 50420, 51247, 52737, 50432, 50999, 73301, 53681, 50999, 73301, 50824, 58911, 50999, 73301, 53566, 50931, 70036, 53681, 50999, 73301, 50824, 58911, 50999, 73301, 53566, 50931, 70036, 53681, 50999, 73301, 50824, 58911, 50999, 51059, 51062, 51059, 63975, 51059, 51146, 63189, 50951, 51059, 51081, 51059, 52076, 58060, 51059, 51062, 68025, 50931, 51059, 50999, 63189, 50906, 51059, 51081, 51059, 58911, 50968, 51059, 50951, 51059, 63174, 51059, 50999, 63189, 50902, 51059, 50931, 51059, 58911, 50906, 51059, 50951, 51059, 59409, 73414, 53681, 50902, 67800, 50824, 52076, 58060, 51066, 50968, 51066, 59409, 73301, 53681, 50877, 73301, 50824, 52076, 55961, 73301, 53566, 50899, 50824, 51146, 59184, 51062, 53925, 51146, 59475, 51062, 55380, 50997, 50824, 51146, 59981, 51062, 50823, 52323, 51081, 61410, 50999, 55573, 51026, 77190, 53566, 50997, 77190, 53681, 51026, 77190, 50824, 58911, 51315, 77190, 53566, 51085, 73301, 59184, 51081, 53925, 51062, 59475, 51081, 55380, 51279, 73301, 59981, 51081, 50823, 52323, 50999, 61410, 50951, 55573, 51247, 51009, 50999, 53566, 51339, 65733, 51430, 70736, 51146, 55380, 50871, 60169, 58987, 73301, 51009, 52076, 53502, 57994, 51352, 50876, 51352, 58296, 73301, 65733, 51081, 70736, 50999, 55380, 50916, 66547, 50824, 52076, 55961, 51352, 50877, 58987, 51352, 58319, 50824, 51339, 65733, 51430, 70736, 51146, 55380, 50877, 73301, 51009, 52076, 53502, 57994, 51352, 50876, 51352, 58296, 73301, 65733, 51081, 70736, 50999, 55380, 50916, 66547, 50824, 52076, 55961, 58987, 70036, 53566, 50877, 70036, 50824, 51339, 53681, 50871, 67800, 50824, 51339, 50824, 52076, 54569, 61908, 50824, 51339, 53566, 51086, 69732, 50824, 51487, 59184, 51339, 53925, 51487, 59475, 51339, 55380, 51026, 57994, 50824, 51487, 59981, 51339, 50823, 52323, 51430, 61410, 51339, 55573, 51315, 62195, 50824, 51487, 53566, 50861, 66547, 50824, 51430, 53681, 50916, 73414, 50824, 51430, 50824, 52076, 53502, 58987, 50824, 51430, 53566, 51027, 60169, 50824, 51339, 59184, 51430, 53925, 51339, 59475, 51430, 55380, 51050, 60297, 50824, 51339, 59981, 51430, 50823, 52323, 51146, 61410, 51430, 55573, 51120, 65240, 50824, 51339, 53566, 50871, 67800, 50824, 51146, 53681, 50899, 61908, 50824, 51146, 50824, 58911, 51086, 69732, 50824, 51146, 53566, 51026, 57994, 50824, 51430, 59184, 51146, 53925, 51430, 59475, 51146, 55380, 51315, 62195, 50824, 51430, 59981, 51146, 50823, 52323, 51062, 61410, 51146, 55573, 51085, 51352, 50900, 50824, 51430, 53566, 50899, 73301, 65733, 51220, 70736, 50999, 55380, 50916, 66547, 51009, 52076, 56978, 65240, 51352, 50861, 66613, 51027, 66547, 65733, 69593, 50440, 50968, 55380, 51086, 61908, 50824, 52076, 53502, 51352, 50916, 57994, 51352, 58296, 73301, 65733, 51220, 70736, 50999, 55380, 50916, 66547, 51009, 52076, 56978, 65240, 51352, 50861, 66613, 51027, 66547, 65733, 69593, 50440, 50968, 55380, 51086, 61908, 50824, 52076, 53502, 51352, 50916, 57994, 51352, 58296, 73301, 65733, 51220, 70736, 50999, 55380, 50916, 66547, 51009, 58911, 51050, 60297, 66613, 51026, 70036, 65733, 51220, 70736, 51062, 55380, 51027, 50824, 51146, 70290, 51430, 50823, 79020, 51339, 55573, 51086, 66547, 53566, 51026, 50824, 51339, 53681, 50900, 50824, 51430, 50824, 58911, 51050, 67800, 50824, 51146, 53566, 51026, 51009, 50968, 73301, 53681, 51214, 61908, 50824, 51220, 50824, 58911, 51085, 51352, 50876, 73301, 53566, 50951, 53681, 50951, 50824, 58911, 50951, 51009, 59409, 70379, 53681, 50876, 66547, 50824, 52076, 58060, 66547, 52442, 59409, 50824, 51487, 53681, 50876, 50824, 51405, 50824, 52076, 58060, 50824, 51220, 53566, 50965, 73301, 51184, 57428, 72970, 50824, 52076, 58097, 50824, 51114, 53566, 50900, 51352, 50951, 53681, 50951, 50824, 58911, 50951, 51009, 59409, 70379, 53681, 50876, 66547, 50824, 52076, 58060, 66547, 52442, 59409, 50824, 51487, 53681, 50876, 50824, 51405, 50824, 52076, 58060, 50824, 51220, 53566, 50965, 73301, 51184, 57428, 72970, 50824, 52076, 58097, 50824, 51114, 53566, 50900, 66547, 53681, 50900, 66547, 50824, 51405, 50824, 58911, 51050, 60297, 67800, 50824, 51146, 53566, 51026, 57994, 61908, 50824, 51220, 53681, 51176, 68678, 70379, 73301, 50824, 58911, 51050, 60297, 67800, 50824, 51146, 53566, 51026, 57994, 61908, 50824, 51220, 53681, 51176, 68678, 70379, 73301, 50824, 58911, 51050, 60297, 67800, 50824, 51146, 53566, 51026, 57994, 61908, 50824, 51220, 53681, 51176, 68678, 70379, 73301, 50824, 58911, 51050, 60297, 67800, 50824, 51146, 53566, 51026, 57994, 61908, 50824, 51220, 53681, 51176, 68678, 70379, 73301, 50824, 52076, 56978, 57994, 51352, 51146, 53566, 51027, 66547, 65733, 69593, 50440, 50968, 55380, 51086, 61908, 50824, 52076, 53502, 51352, 50916, 57994, 51352, 58296, 73301, 65733, 51220, 70736, 50999, 55380, 50916, 66547, 51009, 52076, 56978, 65240, 51352, 50861, 66613, 51027, 66547, 65733, 69593, 50440, 50968, 55380, 51086, 61908, 50824, 52076, 53502, 51352, 50916, 57994, 51352, 58296, 73301, 65733, 51220, 70736, 50999, 55380, 50916, 66547, 51059, 58911, 51050, 60297, 51352, 50424, 51062, 65759, 51220, 54179, 51026, 70036, 65733, 51220, 70736, 51062, 55380, 51027, 50824, 51146, 70290, 51430, 50823, 79020, 51339, 55573, 51086, 66547, 66613, 51026, 50824, 51339, 53681, 50900, 50824, 51430, 50824, 58911, 51050, 67800, 50824, 51146, 53566, 51026, 51009, 50968, 73301, 53681, 51214, 61908, 50824, 51220, 50824, 58911, 51085, 51009, 50428, 51220, 54179, 51062, 51009, 50440, 50951, 55380, 50876, 70036, 50975, 79020, 50968, 55573, 50876, 67800, 51009, 50428, 51430, 54179, 50876, 50824, 51430, 55996, 51146, 65733, 51430, 53925, 51146, 57310, 50973, 50824, 52076, 53502, 51009, 50428, 51220, 54179, 51062, 51009, 50440, 50951, 55380, 50876, 70036, 50975, 79020, 50968, 55573, 50876, 67800, 51009, 50428, 51430, 54179, 50876, 50824, 51430, 55996, 51146, 65733, 51430, 53925, 51146, 57310, 50973, 50824, 52076, 53502, 58987, 51352, 50428, 51339, 54179, 50899, 50824, 51430, 50975, 50440, 51220, 55380, 50916, 73301, 50975, 52076, 77717, 55573, 51050, 60297, 51352, 50999, 50975, 50428, 50968, 54179, 51026, 67800, 50975, 50440, 50876, 55380, 51027, 61908, 50975, 79020, 50877, 55573, 51026, 69732, 50975, 50428, 50902, 54179, 51050, 57994, 50975, 50440, 50973, 55380, 51315, 58987, 51352, 79020, 50968, 55573, 51050, 61908, 50975, 50428, 50931, 54179, 51026, 51009, 50968, 53681, 51214, 69732, 73414, 56695, 50902, 70290, 78773, 52323, 50902, 50823, 50416, 50876, 59889, 50902, 55573, 51085, 58987, 50975, 50428, 50968, 54179, 51247, 50824, 51050, 61908, 53681, 51214, 78215, 58987, 51300, 50902, 51300, 58911, 51279, 74294, 50824, 50428, 50968, 54179, 51247, 50824, 51050, 58987, 61908, 53681, 51214, 78215, 58987, 51300, 50902, 51300, 58911, 51279, 74294, 50824, 50428, 50968, 54179, 51247, 50824, 51050, 58987, 61908, 53681, 51214, 78215, 58987, 61908, 50824, 52076, 56945, 58676, 51009, 50902, 67233, 51026, 66273, 65759, 51050, 50823, 50931, 54179, 51026, 51009, 50968, 53681, 51214, 69732, 73414, 56695, 50902, 70290, 78773, 52323, 50902, 52410, 51085, 58987, 73301, 53566, 51247, 50824, 51050, 58987, 61908, 53681, 51214, 78215, 58987, 61908, 50824, 58911, 51279, 74294, 73301, 53566, 51247, 50824, 51050, 58987, 61908, 53681, 51214, 78215, 58987, 61908, 50824 ]

[ 0, 4688, 5175, 2214, 19, 10, 2842, 9, 14073, 27456, 6, 42, 15229, 16, 17407, 30, 63, 15352, 30054, 8, 2933, 5466, 6, 7630, 14805, 10, 1472, 9, 980, 4, 28309, 8, 38668, 3315, 45552, 833, 6, 2800, 30, 38668, 3038, 6, 17605, 9590, 6, 8, 21040, 2426, 4, 8504, 11, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 19, 5, 40286, 272, 119, 8, 1918, 406, 442, 12577, 4961, 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 ]

[ 54458, 56026, 51998, 54747, 52254, 73873, 51998, 50752, 50303, 57422, 71690, 53700, 59481, 57422, 50417, 54890, 77797, 54890, 51998, 73873, 51998, 50423, 73873, 67847, 63788, 51998, 73873, 74994, 63788, 51998, 73873, 51998, 50435, 63788, 51998, 73873, 51998, 50438, 73873, 51998, 50441, 63788, 51998, 50444, 73873, 51998, 50447, 63788, 51998, 73873, 65656, 63788, 51998, 73873, 77080, 63788, 55084, 73873, 55084, 50459, 73873, 55084, 50799, 56026, 55084, 55617, 57826, 73873, 55084, 50753, 50299, 76941, 50417, 54890, 55084, 50420, 54890, 55084, 54747, 65254, 73873, 55084, 50423, 73873, 55084, 50426, 63788, 55084, 73873, 55084, 50432, 63788, 55084, 73873, 55084, 50435, 63788, 55084, 73873, 55084, 50438, 73873, 55084, 50441, 63788, 55084, 50444, 73873, 52794, 50447, 63788, 52794, 73873, 52794, 50450, 63788, 52794, 73873, 52794, 50456, 63788, 52794, 73873, 52794, 50459, 73873, 52794, 50799, 56026, 52794, 55617, 54691, 73873, 52794, 50752, 50302, 77898, 50753, 50292, 68334, 63002, 68334, 50417, 54890, 52794, 50420, 54890, 52794, 54747, 54691, 73873, 52794, 50423, 73873, 52794, 50426, 63788, 52794, 73873, 52794, 50432, 63788, 52794, 73873, 52794, 50435, 63788, 52462, 73873, 52462, 50438, 73873, 52462, 50441, 63788, 52462, 50444, 73873, 52462, 50447, 63788, 52462, 73873, 52462, 50450, 63788, 52462, 73873, 52462, 50456, 63788, 52462, 73873, 52462, 50459, 73873, 52462, 50799, 56026, 52462, 55617, 53306, 73873, 52462, 59595, 65354, 70077, 65354, 50417, 54890, 52462, 50420, 54890, 52462, 54747, 53306, 73873, 52462, 50423, 73873, 52462, 50426, 63788, 52101, 73873, 52101, 50432, 63788, 52101, 73873, 52101, 50435, 63788, 52101, 73873, 52101, 50438, 73873, 52101, 50441, 63788, 52101, 50444, 73873, 52101, 50447, 63788, 52101, 73873, 67218, 63788, 52101, 73873, 52101, 50456, 63788, 52101, 73873, 52101, 50459, 73873, 52101, 50799, 56026, 52101, 55617, 52101, 73873, 52101, 50752, 50310, 68086, 59049, 59519, 68122, 68086, 50417, 54890, 51832, 54747, 53313, 50420, 54890, 51832, 73873, 51832, 50423, 73873, 77962, 63788, 51832, 73873, 79974, 63788, 51832, 55617, 51832, 73873, 51832, 50435, 63788, 51832, 54747, 51832, 73873, 51832, 50438, 73873, 51832, 50441, 63788, 51832, 50444, 73873, 51832, 50447, 63788, 51832, 73873, 51832, 50450, 63788, 51832, 73873, 51832, 50456, 63788, 51550, 73873, 51550, 50459, 73873, 51550, 50799, 56026, 51550, 55617, 51550, 73873, 51550, 50752, 50303, 55275, 61610, 55275, 50417, 54890, 51550, 54747, 67735, 54890, 51550, 73873, 51550, 50423, 73873, 65437, 63788, 51550, 73873, 51550, 50429, 55617, 65350, 63788, 51550, 73873, 51550, 50435, 63788, 51550, 54747, 51550, 73873, 62913, 73873, 51550, 50441, 63788, 65438, 73873, 51550, 50447, 63788, 51252, 73873, 61013, 63788, 51252, 73873, 67301, 63788, 51252, 73873, 79530, 73873, 51252, 50799, 56026, 51252, 55617, 51252, 73873, 51252, 50752, 50312, 53678, 62494, 55856, 74012, 53678, 50417, 54890, 51252, 54747, 63478, 54890, 51252, 73873, 63285, 73873, 58782, 63788, 51252, 73873, 51252, 50429, 55617, 60346, 63788, 51252, 54747, 51252, 73873, 69470, 63788, 51252, 73873, 59580, 73873, 51269, 50441, 63788, 62622, 73873, 51269, 50447, 63788, 51269, 73873, 60205, 63788, 51269, 73873, 62082, 63788, 51269, 73873, 79207, 73873, 51269, 50799, 56026, 51269, 55617, 51269, 73873, 51269, 50752, 50307, 52988, 50417, 54890, 51269, 54747, 64080, 54890, 51269, 73873, 66495, 73873, 58844, 63788, 51269, 73873, 51269, 50429, 55617, 55011, 63788, 51022, 73873, 60968, 63788, 51022, 54747, 51022, 73873, 55707, 73873, 70546, 63788, 57138, 73873, 65932, 63788, 51022, 73873, 55814, 63788, 51022, 73873, 56773, 63788, 51022, 73873, 65319, 73873, 51022, 50799, 56026, 51022, 54747, 52025, 73873, 51022, 50752, 50310, 52503, 59049, 54270, 63002, 54270, 50417, 54890, 57711, 54890, 51123, 73873, 62791, 73873, 57252, 63788, 51123, 73873, 57959, 63788, 51123, 73873, 63801, 63788, 51123, 73873, 58604, 73873, 51123, 50441, 63788, 60466, 73873, 65650, 63788, 51123, 73873, 59038, 63788, 51123, 73873, 60004, 63788, 51123, 73873, 72037, 73873, 50984, 50799, 56026, 50984, 55617, 51166, 73873, 50984, 50752, 50305, 51922, 65306, 51922, 50417, 54890, 55740, 54890, 50984, 54747, 51466, 73873, 57079, 73873, 55070, 63788, 50984, 73873, 55238, 63788, 50984, 73873, 59037, 63788, 50984, 73873, 56006, 73873, 68977, 63788, 57043, 73873, 60979, 63788, 50984, 73873, 56881, 63788, 50907, 73873, 55346, 63788, 50907, 73873, 57467, 73873, 50907, 50799, 56026, 50907, 55617, 51074, 73873, 50907, 50752, 50314, 51748, 63002, 51748, 50417, 54890, 54964, 54890, 50907, 54747, 51074, 73873, 56237, 73873, 54504, 63788, 50907, 73873, 54661, 63788, 50907, 73873, 56857, 63788, 50907, 73873, 54584, 73873, 58573, 63788, 54947, 73873, 58068, 63788, 50912, 73873, 54823, 63788, 50912, 73873, 55162, 63788, 50912, 73873, 58247, 73873, 50912, 50799, 56026, 50912, 55617, 51079, 73873, 50912, 50752, 50303, 51671, 65306, 51671, 50417, 54890, 55869, 54890, 50912, 54747, 51079, 73873, 56779, 73873, 54325, 63788, 50912, 73873, 55100, 63788, 50851, 73873, 55270, 63788, 50851, 73873, 53269, 73873, 58862, 63788, 54478, 73873, 55854, 63788, 50851, 73873, 53567, 63788, 50851, 73873, 54622, 63788, 50851, 73873, 56573, 73873, 50851, 50799, 56026, 50851, 55617, 50851, 73873, 50851, 50752, 50310, 51449, 57727, 52204, 63002, 51449, 59481, 52204, 50417, 54890, 50851, 54747, 59288, 54890, 50851, 73873, 55054, 73873, 52580, 63788, 50827, 73873, 52739, 63788, 50827, 55617, 50827, 73873, 53720, 63788, 50827, 54747, 50827, 73873, 52788, 73873, 55608, 63788, 53086, 73873, 54043, 63788, 50827, 73873, 52989, 63788, 50827, 73873, 53176, 63788, 50827, 73873, 54529, 73873, 50827, 50799, 56026, 50874, 55617, 50874, 73873, 50874, 50752, 50313, 51445, 65306, 51445, 50417, 54890, 50874, 54747, 54448, 54890, 50874, 73873, 56174, 73873, 53881, 63788, 50874, 73873, 58519, 55617, 54221, 63788, 50874, 73873, 56149, 63788, 50874, 54747, 50874, 73873, 54123, 73873, 58666, 63788, 54653, 73873, 57904, 63788, 50874, 73873, 54385, 63788, 50874, 73873, 54900, 63788, 50822, 73873, 54846, 73873, 50822, 50799, 56026, 50822, 55617, 50822, 73873, 50822, 50752, 50314, 52096, 63002, 51313, 50417, 54890, 50822, 54747, 53728, 54890, 50822, 73873, 54252, 73873, 52921, 63788, 50822, 73873, 56739, 55617, 53193, 63788, 50822, 54747, 50822, 73873, 54378, 63788, 50822, 73873, 52691, 73873, 57366, 63788, 53743, 73873, 55876, 63788, 50844, 73873, 54004, 63788, 50844, 73873, 54194, 63788, 50844, 73873, 56569, 73873, 50844, 50799, 56026, 50844, 55617, 50844, 73873, 50844, 65306, 51293, 68122, 51293, 50417, 54890, 50844, 54747, 54351, 54890, 50844, 73873, 55266, 73873, 53450, 63788, 50844, 73873, 57250, 55617, 53513, 63788, 50844, 73873, 55167, 63788, 50810, 54747, 50810, 73873, 52729, 73873, 56532, 63788, 53103, 73873, 54803, 63788, 50810, 73873, 52843, 52998, 50915, 63788, 50810, 73873, 52863, 63788, 50810, 73873, 54678, 73873, 50810, 50799, 53283, 53892, 56026, 51022, 54747, 52025, 73873, 51022, 54918, 52503, 54025, 52503, 50417, 54890, 57711, 54890, 51022, 73873, 58910, 53354, 51022, 73873, 55124, 53929, 51387, 63788, 51022, 73873, 55011, 53283, 51432, 63788, 51123, 65360, 52011, 73873, 63801, 63788, 51123, 73873, 58604, 55668 ]

[ 0, 250, 8787, 3495, 2125, 19, 5175, 4785, 6, 42, 15229, 1931, 21683, 10, 32076, 8, 19448, 5466, 4, 20, 30062, 620, 7085, 12280, 642, 6, 1515, 21305, 6, 13305, 6, 8, 21072, 283, 561, 7, 1045, 10, 15352, 30054, 5797, 990, 1506, 4, 8504, 11, 5, 762, 9, 274, 10431, 3694, 8, 6780, 10, 7212, 20889, 6, 24, 30853, 19, 10, 1472, 9, 5136, 4, 20, 16331, 33215, 16739, 9, 274, 10431, 119, 6, 83, 401, 6, 8, 163, 119, 406, 31473, 10, 2842, 9, 1619, 4780, 7, 5, 1374, 2365, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50435, 55096, 51932, 53916, 53002, 50877, 52024, 51028, 52024, 52112, 50436, 51324, 52149, 51086, 52149, 50989, 52024, 52040, 52250, 51198, 52250, 51494, 52250, 51119, 52250, 50442, 63678, 56453, 53747, 51932, 50791, 61216, 50791, 50880, 54599, 53217, 55096, 78053, 61780, 52093, 51601, 50913, 51750, 66183, 60454, 59799, 50835, 51532, 75031, 57563, 66424, 51471, 50443, 50791, 54755, 63678, 50825, 56403, 62037, 50791, 64961, 50913, 50835, 71349, 50867, 51039, 58830, 53133, 56168, 57148, 60741, 51468, 50434, 52029, 51102, 52621, 55096, 56168, 63881, 50852, 64684, 64229, 50835, 57913, 73745, 53968, 51066, 52601, 56736, 51315, 52250, 50916, 52024, 50861, 52024, 50973, 52149, 50902, 52024, 50791, 50890, 51099, 52149, 52040, 52122, 51198, 52250, 51232, 52250, 53341, 77608, 71568, 50993, 52558, 55676, 69388, 50913, 58646, 53968, 50975, 52558, 80011, 50862, 51361, 56428, 57972, 50791, 64100, 51895, 51102, 50825, 55894, 50887, 51647, 52373, 50825, 51453, 61629, 50791, 50880, 51429, 53651, 53069, 52029, 51102, 50825, 51510, 50813, 51544, 64247, 50913, 57160, 50791, 59701, 52385, 50440, 57865, 51745, 54012, 51896, 52574, 51102, 50835, 51618, 68343, 50913, 51750, 63226, 53133, 62461, 60135, 50852, 59496, 52574, 51102, 50835, 71349, 54507, 55096, 51932, 77347, 54454, 50877, 52149, 51028, 52149, 52112, 50421, 51324, 52024, 51086, 52024, 50989, 52149, 52040, 52149, 51198, 52149, 51494, 52149, 51119, 52149, 50427, 57563, 59277, 53747, 58834, 50836, 55703, 54459, 50913, 54905, 55096, 61751, 62885, 52093, 57913, 55473, 59842, 74268, 59799, 50835, 53028, 69079, 57563, 58646, 51471, 50429, 61249, 51623, 50791, 66248, 63678, 56819, 50791, 59503, 50791, 68787, 50913, 50835, 52320, 58345, 51471, 50457, 53133, 51745, 57570, 51896, 50791, 57148, 50835, 51809, 51468, 50419, 52029, 51102, 53868, 55096, 56168, 56667, 50852, 60012, 64229, 57160, 50791, 59948, 53968, 51066, 54012, 54454, 51315, 52149, 50916, 52024, 50861, 52024, 50973, 52149, 50902, 52024, 50791, 50890, 52040, 52250, 51198, 52250, 51232, 52250, 51099, 52149, 51180, 52300, 53528, 53133, 50993, 52558, 61695, 65603, 50913, 59552, 53968, 51653, 52558, 50461, 50791, 50862, 71349, 56428, 50835, 57809, 71699, 51895, 51102, 59277, 50791, 50887, 51570, 52373, 50825, 55820, 62426, 52601, 51036, 50791, 50880, 51429, 53380, 50452, 52029, 51102, 50825, 51453, 79367, 50887, 51601, 50913, 50835, 55676, 60342, 52385, 50425, 57865, 51745, 52574, 51102, 80029, 61300, 57563, 57972, 53133, 62461, 62859, 50852, 60886, 52574, 51102, 52772, 51324, 52149, 50791, 64703, 51086, 52024, 50453, 55096, 51735, 50877, 52024, 51028, 52024, 52112, 50454, 50989, 52024, 52040, 52250, 51494, 52250, 51119, 52024, 51777, 52250, 50460, 57563, 50825, 51809, 53747, 51932, 50791, 64682, 50791, 50880, 55618, 58245, 55096, 78053, 61218, 52093, 55703, 55473, 66657, 68202, 52501, 50835, 57913, 75336, 57563, 59552, 51471, 50799, 54010, 51041, 70086, 54010, 51437, 52543, 59768, 54010, 51041, 63692, 50791, 69544, 50913, 54248, 54010, 51437, 54077, 54010, 51041, 58900, 53133, 56168, 57148, 60822, 54010, 56918, 54010, 51406, 64125, 54010, 51041, 55828, 53137, 55096, 56168, 63574, 54010, 54726, 50862, 51601, 54010, 51467, 55063, 62307, 54010, 51041, 60171, 53968, 51066, 50902, 54834, 51114, 54834, 51315, 52149, 50916, 52024, 50973, 52149, 50791, 56731, 51429, 52250, 51275, 52149, 51232, 52122, 51099, 51717, 50429, 54257, 50825, 51361, 64938, 53133, 50993, 63842, 71647, 50913, 60862, 53968, 50975, 52558, 51618, 50862, 52320, 56428, 58901, 50791, 61561, 51895, 51102, 50825, 51809, 50791, 50887, 51510, 52373, 58245, 50791, 50836, 55994, 62256, 53145, 51437, 55828, 54905, 53145, 51135, 79056, 66943, 53145, 52532, 59528, 53145, 51135, 62802, 53145, 51406, 57185, 57865, 51745, 50968, 51191, 52574, 51102, 50835, 50799, 53145, 70486, 64729, 53145, 51750, 54738, 60463, 53133, 51237, 53145, 51044, 61057, 50902, 51191, 50428, 50852, 54215, 53145, 51239, 56428, 50835, 51556, 63539, 55096, 51932, 51324, 52149, 51086, 52149, 50989, 52024, 50877, 52024, 51028, 52024, 52112, 51119, 52024, 51777, 52250, 52040, 52250, 51494, 52250, 50446, 57563, 57723, 53747, 60396, 50836, 51647, 54647, 50913, 59025, 55096, 61751, 50855, 51601, 52093, 50419, 50791, 55473, 50835, 51544, 54883, 59799, 57160, 50791, 50930, 50440, 57563, 60862, 51471, 51618, 68750, 63678, 57077, 50791, 58693, 53990, 51464, 50890, 51809, 53990, 53353, 61072, 55754, 53990, 51437, 56680, 53133, 51745, 53990, 51041, 57148, 59347, 53990, 51406, 57514, 53990, 51135, 55828, 54656, 55096, 56168, 74176, 53990, 54563, 64598, 53990, 51750, 55063, 67099, 50791, 64405, 53968, 51066, 50916, 52149, 50989, 52024, 50973, 52149, 50902, 52024, 51315, 52149, 50791, 50890, 51232, 52122, 51099, 51717, 51429, 52250, 51275, 52149, 50799, 54257, 59527, 53133, 50993, 52558, 61797, 67415, 50913, 68564, 53968, 51653, 52558, 51361, 73746, 56428, 50835, 55820, 61334, 51895, 51102, 57723, 50791, 50887, 51453, 52373, 59025, 50791, 50836, 51601, 50791, 61135, 52029, 51102, 50825, 51544, 50813, 51532, 67980, 50913, 62196, 50791, 67203, 52385, 50444, 57865, 51745, 50935, 51111, 52574, 51102, 59528, 50935, 51623, 50791, 61348, 51149, 51111, 57563, 59552, 53133, 51745, 50791, 59026, 51149, 51623, 50852, 50862, 52177, 52548, 52149, 52574, 51102, 61072, 61083, 55096, 51932, 51086, 52149, 50989, 52024, 50877, 52024, 51028, 52024, 51324, 52149, 50798, 50887, 52112, 52040, 52250, 51494, 52250, 51119, 52024, 51777, 52250, 50431, 57563, 56446, 53747, 51735, 50798, 52304, 50836, 51570, 50880, 53491, 57013, 55096, 71944, 52304, 64457, 52093, 50452, 50913, 51750, 50890, 76820, 50799, 59799, 50835, 55676, 72309, 57563, 68564, 51471, 51361, 70988, 63678, 50825, 55820, 50840, 55894, 68168, 50913, 50835, 51647, 50867, 51453, 59175, 53133, 56168, 57148, 50835, 53069, 51468, 51510, 55828, 52712, 55096, 56168, 50962, 50430, 50852, 64458, 64229, 57540, 50791, 67635, 53968, 51066, 51315, 52149, 50916, 52149, 50989, 52024, 50973, 52149, 50902, 52024, 50798, 52304, 50890, 51429, 52250, 51275, 52149, 50441, 51232, 52122, 51099, 51717, 53721, 51833, 58351, 53133, 55311, 52304, 50867, 56403, 63728, 50913, 56603, 53968, 54482, 52304, 50867, 71349, 71813, 56428, 58815, 50791, 64205, 51895, 51102, 50825, 55703, 50887, 51572, 52373, 57013, 50791, 61216, 55320, 51135, 64985, 50913, 53217, 55320, 51750, 57187, 55320, 51135, 50813, 51601, 50791, 69736, 55320, 52543, 58659, 55320, 51406, 60811, 55320, 51539, 55863, 57865, 51745, 51543, 50834, 55320, 53353, 51750, 66279, 55320, 51464, 63539, 55320, 51135, 54738, 60862, 53133, 62461, 60520, 55320, 53270, 53938, 55320, 51044, 56428, 55423, 55320, 51406, 62037, 55096, 51932, 51324, 52149, 51086, 52149, 50989, 52024, 50877, 52024, 51028, 52024, 50798, 50887, 52112, 52040, 52250, 51494, 52250, 51119, 52024, 51777, 52250, 51809, 57563, 61732, 53747, 58680, 52304, 50836, 51510, 53939, 50913, 58032, 55096, 72109, 52304, 60673, 52093, 50437, 50913, 51750, 50890, 51180, 54847, 59799, 59528, 50791, 69312, 57563, 50835, 50799, 51471, 51402, 67596, 63678, 64640, 50791, 59955, 50791, 50890, 53198, 50835, 51570, 63776, 51471, 50445, 53133, 51745, 50791, 57148, 67099, 51468, 51453, 55828, 54603, 55096, 56168, 50962, 51601, 50852 ]

[ 0, 250, 20902, 3495, 1619, 2214, 11, 272, 3694, 6, 4246, 3459, 13305, 6, 10170, 1499, 6, 21979, 9590, 6, 8, 21072, 4, 590, 10, 27841, 139, 20889, 8, 155, 73, 306, 86, 6543, 6, 24, 1931, 21683, 11098, 8, 10563, 149, 63, 15352, 30054, 15229, 4, 20, 33215, 16739, 9, 230, 119, 6, 272, 119, 6, 211, 406, 6, 8, 272, 119, 3639, 7, 5, 12298, 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 ]

[ 51034, 50640, 54237, 51025, 65282, 50813, 51098, 51358, 51890, 50892, 51771, 50892, 52427, 50892, 52092, 59621, 51172, 50852, 51255, 50426, 51890, 50905, 50903, 51363, 50791, 73377, 51771, 54938, 52427, 50972, 50903, 58880, 60510, 54237, 51025, 65282, 50813, 52092, 50972, 51034, 54399, 51025, 65282, 79366, 51623, 53795, 51108, 50801, 51172, 50852, 51255, 50420, 53375, 58193, 51890, 51534, 51771, 51534, 52427, 51534, 52092, 51534, 50903, 51363, 50791, 51255, 50438, 51890, 50892, 51771, 50892, 52427, 50892, 52092, 59621, 66377, 58880, 60510, 54237, 51025, 65282, 50813, 51034, 53375, 51422, 65282, 50813, 51150, 52282, 52114, 50892, 52647, 50892, 51771, 59621, 51172, 50852, 51255, 50426, 52114, 50905, 50903, 51363, 50791, 73377, 52647, 54938, 51771, 50972, 50903, 58880, 60510, 51959, 50972, 51034, 59319, 51422, 65282, 50813, 51098, 51977, 53168, 51108, 50801, 51172, 50852, 51255, 50426, 52114, 51534, 52647, 51534, 51771, 51534, 50903, 51363, 50791, 51255, 51556, 53614, 52114, 50892, 52647, 50892, 51771, 59621, 66377, 58880, 51003, 51034, 54237, 51025, 65282, 50813, 51098, 52282, 51890, 50892, 51771, 50892, 52427, 50892, 52092, 59621, 51172, 50852, 51255, 50426, 51890, 50905, 50903, 51363, 50791, 73377, 51771, 54938, 52427, 50972, 50903, 58880, 60510, 54237, 51025, 65282, 50813, 52092, 50972, 51034, 54399, 51025, 65282, 79366, 51358, 53795, 51108, 50801, 51172, 50852, 51255, 50420, 53375, 58193, 51890, 51534, 51771, 51534, 52427, 51534, 52092, 51534, 50903, 51363, 50791, 51255, 51556, 53614, 51890, 50892, 51771, 50892, 52427, 50892, 52092, 59621, 66377, 58880, 60510, 54237, 51025, 65282, 50813, 51034, 53375, 51151, 65282, 50813, 51150, 51896, 52114, 52025, 50801, 51172, 50852, 51255, 50426, 52114, 51534, 52647, 51534, 51771, 51534, 50903, 51363, 50791, 51255, 50438, 52114, 50845, 52647, 50845, 51771, 66551, 58880, 51003, 67834, 51896, 53168, 51108, 50801, 51172, 50852, 51255, 50426, 52114, 51534, 52647, 51534, 51771, 51534, 50903, 51363, 50791, 51255, 50438, 52114, 50892, 52647, 50892, 51771, 59621, 66377, 58880, 51003, 51034, 54520, 51115, 51994, 51115, 51150, 51358, 52114, 51108, 50801, 51172, 50852, 51255, 50426, 51771, 51645, 51959, 51645, 53234, 51645, 50903, 51363, 50791, 51255, 50438, 54520, 51025, 51994, 51025, 51771, 50905, 51959, 50905, 53234, 50905, 50903, 58880, 51003, 51034, 54520, 51115, 51531, 51115, 51098, 52282, 53168, 51108, 50801, 51172, 50852, 51255, 50426, 51771, 51534, 51959, 51534, 53234, 51534, 50903, 51363, 50791, 51255, 50438, 52498, 51025, 51666, 51025, 51771, 50892, 51959, 50892, 53234, 59621, 66377, 58880, 51003, 51034, 51994, 51115, 52183, 51115, 51150, 51685, 52114, 52025, 50801, 51172, 50852, 51255, 51510, 53450, 52114, 51172, 52647, 51172, 51771, 51172, 50903, 51363, 50791, 51255, 50438, 52498, 51025, 51666, 51025, 52114, 50905, 52647, 50905, 51771, 50905, 50903, 58880, 51003, 51034, 54520, 51452, 51531, 51452, 51930, 51025, 53168, 51108, 50801, 51172, 50852, 51255, 50426, 51389, 51025, 52114, 51534, 52647, 51534, 51771, 51534, 50903, 51363, 50791, 51255, 57385, 51025, 52114, 50892, 52647, 50892, 51771, 59621, 66377, 58880, 51003, 51034, 52498, 51115, 51666, 51115, 51098, 52282, 51890, 51337, 51771, 51337, 52427, 51337, 52092, 51337, 50801, 51172, 50852, 51255, 51510, 53450, 51890, 51535, 51771, 51535, 52427, 51535, 52092, 51535, 50903, 51363, 50791, 51255, 50438, 52498, 51025, 51666, 51025, 50903, 58880, 51003, 51034, 53342, 51025, 52330, 51025, 51389, 51977, 53795, 51108, 50801, 51172, 50852, 51255, 50426, 54520, 51025, 51531, 51025, 51890, 51534, 51771, 51534, 52427, 51534, 52092, 51534, 50903, 51363, 50791, 51255, 50438, 52498, 51025, 51666, 51025, 51890, 50892, 51771, 50892, 52427, 50892, 52092, 59621, 66377, 58880, 51003, 51034, 54520, 51452, 51531, 51452, 51150, 51896, 52114, 51337, 52647, 51337, 51771, 51337, 50801, 51172, 50852, 51255, 50426, 52114, 51535, 52647, 51535, 51771, 51535, 50903, 51363, 50791, 51255, 59015, 58880, 51003, 51034, 54520, 51452, 51994, 51452, 51150, 51025, 53168, 51108, 50801, 51172, 50852, 51255, 50426, 51930, 51025, 52114, 51534, 52647, 51534, 51771, 51534, 50903, 51363, 50791, 51255, 51556, 53614, 52078, 51025, 52114, 50892, 52647, 50892, 51771, 59621, 66377, 58880, 51003, 51034, 54520, 51115, 51994, 51115, 51150, 51452, 52114, 51535, 52647, 51535, 51771, 51535, 50801, 51172, 50852, 51255, 51768, 51363, 50791, 51255, 50438, 54520, 51025, 51994, 51025, 52114, 51337, 52647, 51337, 51771, 51337, 50903, 58880, 51003, 51034, 54520, 51115, 51531, 51115, 51098, 51977, 53168, 51108, 50801, 51172, 50852, 51255, 50426, 52114, 51534, 52647, 51534, 51771, 51534, 50903, 51363, 50791, 51255, 50438, 52498, 51025, 51666, 51025, 52114, 50892, 52647, 50892, 51771, 59621, 66377, 58880, 51003, 51034, 51994, 51115, 52183, 51115, 51150, 51896, 52114, 51108, 50801, 51172, 50852, 51255, 51510, 53450, 52114, 51535, 52647, 51535, 51771, 51535, 50903, 51363, 50791, 51255, 50438, 52498, 51025, 51666, 51025, 50903, 58880, 51003, 51034, 54520, 51452, 51531, 51452, 51930, 51025, 53168, 51108, 50801, 51172, 50852, 51255, 50426, 51389, 51025, 52114, 51534, 52647, 51534, 51771, 51534, 50903, 51363, 50791, 51255, 68958, 51025, 52114, 50892, 52647, 50892, 51771, 59621, 66377, 58880, 51003, 51034, 52498, 51115, 51666, 51115, 51098, 51685, 53168, 51108, 50801, 51172, 50852, 51255, 51510, 53450, 51890, 51535, 51771, 51535, 52427, 51535, 52092, 51535, 50903, 51363, 50791, 51255, 50438, 52498, 51025, 51666, 51025, 50903, 58880, 51003, 51034, 53342, 51025, 52330, 51025, 51389, 51358, 53795, 51108, 50801, 51172, 50852, 51255, 50426, 54520, 51025, 51531, 51025, 51890, 51534, 51771, 51534, 52427, 51534, 52092, 51534, 50903, 51363, 50791, 51255, 50438, 52498, 51025, 51666, 51025, 51890, 50892, 51771, 50892, 52427, 50892, 52092, 59621, 66377, 58880, 51003, 51034, 54520, 51151, 51531, 51151, 51150, 51025, 52114, 51108, 50801, 51172, 50852, 51255, 50426, 52078, 51025, 52647, 51172, 51771, 51172, 51959, 51172, 50903, 51363, 50791, 51255, 50438, 51930, 51025, 52647, 50905, 51771, 50905, 51959, 50905, 50903, 58880, 51003, 68423, 51025, 53168, 51108, 50801, 51172, 50852, 51255, 50426, 51389, 51025, 52647, 51534, 51771, 51534, 51959, 51534, 50903, 51363, 50791, 51255, 50438, 51930, 51025, 52647, 50892, 51771, 50892, 51959, 59621, 66377, 58880, 51003, 51034, 53094, 51115, 51531, 51115, 51691, 51115, 51140, 51977, 52114, 51337, 51890, 51337, 52609, 51337, 50801, 51172, 50852, 51255, 50426, 52114, 51535, 51890, 51535, 52609, 51535, 50903, 51363, 50791, 51255, 50438, 53094, 51025, 51531, 51025, 51691, 51025, 50903, 58880, 51003, 51034, 53094, 51025, 51691, 51025, 51389, 51025, 53897, 51108, 50801, 51172, 50852, 51255, 50426, 51988, 51025, 51871, 51025, 51930, 51025, 52114, 51534, 51890, 51534, 52609, 51534, 50903, 51363, 50791, 51255, 51556, 53614, 53094, 51025, 51691, 51025, 51793, 51025, 52114, 50892, 51890, 50892, 52609, 59621, 66377, 58880, 51003, 51034, 51994, 51025, 51531, 51025, 52183, 51025, 51150, 51685, 52114, 52025, 50801, 51172, 50852, 51255, 50426, 52114, 51535, 52647, 51535, 51771, 51535, 50903, 51363, 50791, 51255, 50438, 51994, 51025, 51531, 51025, 52183, 51025, 50903, 58880, 51003, 51034, 51994, 51452, 51531 ]

[ 0, 713, 8787, 5175, 2125, 6, 30291, 19, 4785, 9, 3495, 6, 1931, 21683, 10, 32076, 8, 20425, 5466, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 5, 20902, 32618, 9, 21072, 6, 3459, 9590, 6, 8, 10, 11577, 20535, 2810, 4246, 326, 5638, 34394, 4, 8504, 11, 5, 762, 9, 272, 538, 8, 6780, 10, 23667, 204, 73, 306, 86, 6543, 6, 5, 15229, 29769, 198, 5, 40286, 9, 272, 8, 230, 6, 2351, 10, 33928, 8, 15352, 30054, 13569, 9862, 14, 7630, 6568, 10, 12298, 6, 1619, 12, 3341, 4780, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 67004, 67004, 50459, 52365, 57498, 52365, 50883, 50799, 52365, 59013, 53257, 61426, 53257, 53294, 53257, 63895, 52365, 58275, 52365, 53711, 52365, 56721, 52365, 50817, 56703, 57369, 52719, 50803, 55173, 50803, 53266, 51973, 51963, 50976, 53266, 50976, 53175, 72371, 52310, 50803, 53175, 50803, 52058, 52057, 51648, 50976, 52058, 50976, 53084, 74961, 79219, 52058, 50803, 53084, 52116, 51648, 50976, 52058, 50976, 53084, 69317, 52310, 50803, 53175, 50803, 51866, 50803, 50799, 51683, 50976, 51947, 50976, 52148, 74804, 67152, 59905, 57466, 51683, 50803, 51947, 50803, 52148, 66218, 52670, 51683, 50976, 51947, 50976, 52148, 66587, 50380, 52439, 59014, 56859, 52310, 50803, 53175, 50803, 51866, 59603, 59905, 52896, 51913, 50976, 53093, 50976, 52698, 50976, 53316, 59127, 58275, 51963, 50803, 53266, 50803, 52384, 66218, 52763, 53152, 50823, 55870, 50823, 52058, 53547, 50380, 53746, 59014, 56637, 53257, 59905, 50837, 59696, 59127, 57466, 52719, 50803, 55173, 50803, 53093, 66218, 52670, 53152, 50976, 55870, 50976, 52058, 66587, 50380, 52439, 59014, 56859, 51913, 50803, 53093, 50803, 52698, 59603, 59905, 52896, 51888, 50976, 52384, 50976, 52194, 50976, 53316, 59127, 58275, 51888, 50803, 52384, 50803, 52194, 66218, 52763, 51888, 50976, 52384, 50976, 52194, 66587, 50380, 53746, 59014, 56637, 51683, 50803, 51947, 50803, 52148, 50881, 50597, 59905, 50837, 50799, 51648, 50976, 52058, 50976, 53084, 74804, 59127, 57466, 79219, 52058, 50803, 53084, 66218, 52670, 51648, 50976, 52058, 50976, 53084, 66587, 50380, 52439, 59014, 56859, 51683, 50803, 51947, 50803, 52148, 59603, 59905, 52896, 52310, 50976, 53175, 50976, 51866, 50976, 53316, 59127, 58275, 51913, 50803, 53093, 50803, 52058, 66218, 52763, 51963, 50823, 52310, 50823, 53266, 50823, 53175, 50823, 53175, 53547, 50380, 53746, 59014, 56637, 53257, 59905, 50837, 59696, 59127, 57466, 52719, 50803, 55173, 50803, 53266, 66218, 52670, 51963, 50976, 53266, 50976, 53175, 66587, 50380, 52439, 59014, 56859, 52310, 50803, 53175, 50803, 52058, 59603, 59905, 52896, 51648, 50976, 52058, 50976, 53084, 50976, 53316, 59127, 58275, 79219, 52058, 50803, 53084, 66218, 52763, 51648, 50976, 52058, 50976, 53084, 66587, 50380, 53746, 59014, 56637, 52310, 50803, 53175, 50803, 51866, 50881, 50597, 59905, 50837, 50799, 51776, 50976, 51866, 50976, 53572, 74804, 59127, 57466, 51776, 50803, 51866, 50803, 53572, 66218, 52670, 51888, 50976, 52384, 50976, 52194, 66587, 50380, 52439, 59014, 56859, 51888, 50803, 52384, 50803, 52194, 59603, 59905, 52896, 51683, 50976, 51947, 50976, 51866, 50976, 53316, 59127, 58275, 51683, 50803, 51947, 50803, 51866, 66218, 52763, 51888, 50976, 52384, 50976, 52194, 66587, 50380, 53746, 59014, 56637, 51888, 50803, 52384, 50803, 52194, 50881, 50597, 59905, 50837, 50799, 52578, 50976, 52698, 50976, 52488, 74804, 59127, 57466, 51913, 50803, 53093, 50803, 52698, 66218, 52670, 51648, 50976, 52058, 50976, 52148, 66587, 50380, 52439, 59014, 56859, 52578, 50803, 52698, 50803, 52488, 59603, 59905, 52896, 51888, 50976, 52384, 50976, 52194, 50976, 53316, 59127, 58275, 51963, 50803, 53266, 50803, 52384, 66218, 52763, 51683, 50976, 51947, 50976, 51866, 66587, 50380, 53746, 59014, 56637, 51888, 50803, 52384, 50803, 52194, 50881, 50597, 59905, 50837, 50799, 52310, 52500, 51648, 52500, 53175, 52500, 52058, 52500, 52058, 51605, 51320, 78930, 66112, 57466, 51845, 53899, 53257, 52630, 50852, 59014, 52209, 53257, 56987, 51845, 52896, 53316, 59127, 58275, 51845, 52763, 50852, 59014, 52349, 52365, 57059, 52365, 57928, 54600, 52365, 57498, 52365, 50883, 59696, 59127, 57466, 52719, 50803, 55173, 50803, 53266, 50803, 68983, 51845, 52670, 51963, 50976, 53266, 50976, 53175, 50976, 69871, 51329, 66888, 50380, 52439, 59014, 56859, 52310, 50803, 53175, 50803, 52058, 50803, 60911, 52365, 59905, 52896, 51648, 50976, 52058, 50976, 53084, 50976, 51213, 51072, 51854, 50975, 53316, 67152, 59905, 58275, 79219, 52058, 50803, 53084, 50803, 51854, 50823, 51845, 52763, 51648, 50976, 52058, 50976, 53084, 50976, 51019, 51072, 51854, 66888, 50380, 53746, 59014, 56637, 52310, 50803, 53175, 50803, 51866, 61020, 50823, 53257, 59905, 50837, 50799, 51185, 50849, 52165, 50849, 52110, 50849, 51683, 50976, 51947, 50976, 52148, 50976, 62644, 51288, 73638, 62249, 59905, 57466, 51185, 50812, 52165, 50812, 52110, 50812, 51683, 50803, 51947, 50803, 52148, 50803, 64287, 51845, 52670, 51683, 50976, 51947, 50976, 52148, 50976, 51288, 66888, 50380, 52439, 59014, 56859, 52310, 50803, 53175, 50803, 51866, 50803, 60264, 51211, 50823, 52365, 59905, 52896, 51185, 50849, 52165, 50849, 52110, 50849, 51913, 50976, 53093, 50976, 52698, 50976, 51213, 51072, 51529, 50975, 53316, 59127, 58275, 51185, 50812, 52165, 50812, 52110, 50812, 51963, 50803, 53266, 50803, 52384, 50803, 61691, 51845, 52763, 53152, 50823, 55870, 50823, 52058, 50823, 51011, 51072, 51075, 53547, 50380, 53746, 59014, 56637, 53257, 59905, 50837, 50799, 51185, 50849, 52165, 50849, 52110, 50849, 62644, 51320, 59127, 57466, 51185, 50812, 52165, 50812, 52110, 50812, 52719, 50803, 55173, 50803, 53093, 50803, 60800, 51845, 52670, 53152, 50976, 55870, 50976, 52058, 50976, 51075, 66888, 50380, 52439, 59014, 56859, 51913, 50803, 53093, 50803, 52698, 50803, 60264, 51529, 50823, 52365, 59905, 52896, 51185, 50849, 52165, 50849, 52110, 50849, 51888, 50976, 52384, 50976, 52194, 50976, 51213, 51072, 51634, 50975, 53316, 59127, 58275, 51185, 50812, 52165, 50812, 52110, 50812, 51888, 50803, 52384, 50803, 52194, 50803, 51634, 50823, 51845, 52763, 51888, 50976, 52384, 50976, 52194, 50976, 51011, 51072, 51634, 66888, 50380, 53746, 59014, 56637, 51683, 50803, 51947, 50803, 52148, 50803, 64287, 53257, 59905, 50837, 50799, 51185, 50849, 51810, 50849, 53706, 50849, 51648, 50976, 52058, 50976, 53084, 50976, 71877, 51854, 73638, 59127, 57466, 51185, 50812, 51810, 50812, 53706, 50812, 79219, 52058, 50803, 53084, 50803, 51854, 50823, 51845, 52670, 51648, 50976, 52058, 50976, 53084, 50976, 51854, 66888, 50380, 52439, 59014, 56859, 51683, 50803, 51947, 50803, 52148, 50803, 62313, 64287, 52365, 59905, 52896, 51185, 50849, 51810, 50849, 53706, 50849, 52310, 50976, 53175, 50976, 51866, 50976, 51415, 51072, 51211, 50975, 53316, 59127, 58275, 51185, 50812, 51810, 50812, 53706, 50812, 51913, 50803, 53093, 50803, 52058, 50803, 60911, 51845, 52763, 51963, 50823, 52310, 50823, 53266, 50823, 53175, 50823, 53175, 50823, 51271, 51072, 51329, 53547, 50380, 53746, 59014, 56637, 53257, 59905, 50837, 50799, 51185, 50849, 51810, 50849, 53706, 50849, 71877, 51320, 59127, 57466, 51185, 50812, 51810, 50812, 53706, 50812, 52719, 50803, 55173, 50803, 53266, 50803, 68983, 51845, 52670, 51963, 50976, 53266, 50976, 53175, 50976, 51329, 66888, 50380, 52439, 59014, 56859, 52310, 50803, 53175, 50803, 52058, 50803, 62313, 60911, 52365, 59905, 52896, 51185, 50849, 51810, 50849, 53706, 50849, 51648, 50976, 52058, 50976, 53084, 50976, 51415, 51072, 51854, 50975, 53316, 59127, 58275, 51185, 50812, 51810, 50812, 53706, 50812, 79219, 52058, 50803, 53084, 50803, 51854, 50823, 51845, 52763, 51648, 50976, 52058, 50976, 53084, 50976, 51271, 51072, 51854, 66888, 50380, 53746, 59014, 56637, 52310, 50803, 53175, 50803, 51866, 61020, 50823, 53257, 59905, 50837, 50799, 51403, 50849 ]

[ 0, 250, 2635, 8, 15352, 30054, 5175, 3495, 2214, 4246, 21979, 8669, 6, 13305, 6, 21072, 6, 21979, 9590, 6, 8, 5730, 2342, 4467, 4, 20, 1349, 34, 10, 2933, 8, 25306, 619, 7, 24, 6, 278, 11, 5, 762, 9, 230, 10431, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 7383, 741, 1685, 4, 20, 1049, 33215, 16739, 10726, 9, 230, 10431, 6, 2060, 6, 12608, 119, 6, 230, 10431, 6, 8, 2060, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 53028, 50980, 51544, 50980, 51570, 50980, 52320, 50980, 58526, 50980, 50965, 51411, 50965, 51411, 51028, 51411, 50931, 74989, 65559, 50965, 64318, 51028, 53513, 51176, 50980, 50965, 51411, 51001, 51411, 50444, 51028, 65479, 51411, 50447, 51176, 52931, 50965, 50844, 71436, 51176, 56277, 50965, 50844, 71436, 57126, 61366, 71274, 51411, 51234, 51226, 51378, 51226, 69724, 66289, 53770, 71436, 50989, 64318, 51001, 53513, 50931, 65479, 51411, 50965, 51411, 51503, 51285, 51050, 65980, 50931, 55876, 50965, 54004, 71436, 50965, 51411, 50453, 65559, 58526, 50980, 50965, 51411, 50965, 51411, 51028, 51411, 50931, 51411, 56732, 51226, 50426, 65559, 50965, 64318, 71436, 56732, 52686, 51176, 50980, 50965, 51411, 51001, 51411, 56732, 51685, 50444, 51028, 65479, 51411, 50447, 51176, 52931, 51176, 60781, 66289, 50892, 57126, 61366, 71274, 51411, 51234, 51226, 51378, 51226, 69724, 66289, 53770, 71436, 50989, 64318, 51001, 53513, 51028, 60540, 51411, 50871, 51411, 51503, 51285, 51050, 51285, 50447, 50965, 54004, 71436, 50965, 51411, 50453, 65559, 57126, 61366, 71274, 51411, 51234, 51226, 51378, 51226, 69724, 66289, 53770, 71436, 50989, 64318, 51001, 53513, 51028, 60540, 51411, 50871, 51411, 51503, 51285, 51050, 51285, 50447, 50965, 54004, 71436, 50965, 51411, 50453, 65559, 50799, 52756, 51066, 51176, 50980, 50965, 51411, 50965, 51411, 51028, 51411, 50931, 74989, 54324, 50803, 65559, 50965, 64318, 55667, 50803, 51028, 53513, 54324, 51066, 51176, 50980, 50965, 51411, 51001, 51411, 50444, 55667, 67797, 65479, 51411, 50447, 51176, 52931, 55667, 50803, 71436, 51176, 60781, 60977, 55667, 50803, 71436, 50799, 54942, 69073, 61366, 71274, 51411, 51234, 51226, 51378, 72041, 55667, 69073, 66289, 53770, 54324, 67797, 50844, 50989, 64318, 51001, 53513, 52756, 51066, 50931, 65479, 51411, 50965, 51411, 51503, 51285, 51050, 65980, 50931, 55876, 50965, 54004, 71436, 50965, 51411, 50453, 65559, 50799, 52756, 51066, 51176, 50980, 50965, 51411, 50965, 51411, 51028, 51411, 50931, 74989, 54467, 50803, 65559, 50965, 64318, 53527, 50803, 51028, 53513, 54324, 51066, 51176, 50980, 50965, 51411, 51001, 51411, 50444, 55667, 67797, 65479, 51411, 50447, 51176, 52931, 55667, 50803, 51176, 60781, 66289, 60977, 55667, 50803, 50799, 54942, 69073, 61366, 71274, 51411, 51234, 51226, 51378, 72041, 55667, 69073, 66289, 53770, 54324, 67797, 50844, 50989, 64318, 51001, 53513, 55667, 51066, 51028, 60540, 51411, 50871, 51411, 51503, 51285, 51050, 51285, 50447, 50965, 54004, 71436, 50965, 51411, 50903, 72880, 51160, 50453, 51001, 56569, 55667, 50803, 50799, 50726, 50305, 50980, 52756, 51066, 51176, 50980, 50965, 51411, 50965, 51411, 51028, 51411, 50931, 51411, 50992, 50980, 51125, 50980, 51868, 58571, 57819, 56003, 54324, 50803, 50726, 50305, 50806, 65559, 50965, 61678, 68893, 50806, 51868, 70785, 72880, 63576, 76707, 55667, 50803, 51028, 53513, 54324, 51066, 71242, 51285, 51176, 50980, 50965, 51411, 51001, 51411, 50992, 51285, 50935, 51285, 51668, 51285, 51450, 51575, 52692, 55667, 67797, 65479, 51411, 50798, 53374, 50447, 51176, 50806, 51955, 53757, 69284, 55667, 50803, 71436, 51176, 60781, 53021, 54863, 55667, 50803, 51028, 53199, 50821, 50799, 54942, 62119, 61366, 71274, 51411, 51234, 51226, 51378, 51226, 51017, 50980, 50944, 50980, 51705, 58571, 57819, 50980, 50417, 54942, 52244, 55667, 69073, 66289, 53770, 54324, 67797, 50844, 50989, 67493, 60338, 50806, 51705, 70785, 72880, 63576, 76707, 51001, 53513, 52756, 51066, 50931, 65479, 51411, 50965, 51411, 51503, 51285, 51050, 51285, 51017, 51285, 50872, 51285, 51140, 51285, 51450, 51575, 52692, 50931, 53948, 53374, 50447, 50965, 54004, 71436, 50965, 51411, 50903, 53757, 53374, 50453, 65559, 51453, 54863, 55667, 68494, 50799, 50726, 50305, 50980, 52756, 51066, 51176, 50980, 50965, 51411, 50965, 51411, 51028, 51411, 50931, 51411, 50992, 50980, 51125, 50980, 51868, 58571, 57819, 56003, 54467, 50803, 50726, 50305, 50806, 65559, 50965, 61678, 68893, 50806, 51868, 70785, 72880, 63576, 76707, 53527, 50803, 51028, 53513, 54324, 51066, 71242, 51285, 51176, 50980, 50965, 51411, 51001, 51411, 50992, 51285, 50935, 51285, 51668, 51285, 51450, 51575, 52692, 55667, 67797, 65479, 51411, 50798, 53374, 50447, 51176, 50806, 51955, 53757, 69284, 55667, 50803, 51176, 60781, 66289, 53021, 54863, 55667, 68494, 50799, 54942, 69073, 61366, 71274, 51411, 51234, 51226, 51378, 51226, 51017, 50980, 50944, 50980, 51705, 58571, 57819, 59217, 55667, 69073, 66289, 53770, 54324, 67797, 50844, 50989, 67493, 60338, 50806, 51705, 70785, 72880, 63576, 76707, 51001, 53513, 55667, 51066, 51028, 60540, 51411, 50871, 51411, 51503, 51285, 51050, 51285, 51017, 51285, 50872, 51285, 51140, 51285, 51450, 53374, 52129, 53374, 50447, 50965, 54004, 71436, 50965, 51411, 50903, 53757, 53374, 50453, 65559, 51453, 77913, 50821, 50799, 50726, 50305, 50980, 52756, 51066, 51176, 50980, 50965, 51411, 50965, 51411, 51028, 51411, 50931, 51411, 50992, 50980, 51125, 50980, 51868, 58571, 57819, 56003, 54324, 50803, 50726, 50305, 50806, 65559, 50965, 61678, 68893, 50806, 51868, 70785, 72880, 63576, 76707, 55667, 50803, 51028, 53513, 54324, 51066, 71242, 51226, 51176, 50980, 50965, 51411, 51001, 51411, 50992, 51285, 50935, 51285, 51668, 51285, 51450, 51575, 52692, 55667, 67797, 65479, 51411, 50798, 53374, 50447, 51176, 50806, 51955, 53757, 69284, 59018, 50803, 52756, 50821, 51176, 60781, 66289, 53021, 54863, 59018, 50803, 52756, 63421, 50799, 63331, 50806, 53527, 69073, 61366, 71274, 51411, 51234, 51226, 51378, 51226, 51017, 50980, 50944, 50980, 51705, 58571, 57819, 59217, 59018, 50806, 55861, 69073, 66289, 53770, 59018, 50806, 55861, 67797, 50844, 50989, 67493, 60338, 50806, 51705, 70785, 72880, 63576, 76707, 51001, 53513, 55861, 51066, 50726, 50305, 51285, 51028, 60540, 51411, 50871, 51411, 51503, 51285, 51050, 51285, 51017, 51285, 50872, 51285, 51140, 51285, 51955, 63576, 51160, 51456, 66911, 55667, 50802, 50799, 63331, 50821, 55857, 64659, 50821, 50973, 51363, 51001, 51363, 51114, 51363, 50989, 51411, 51042, 51226, 50944, 51226, 51668, 52090, 65731, 74859, 58718, 59018, 50806, 55667, 56798, 52774, 51668, 62233, 65731, 74859, 54901, 59018, 50821, 55667, 59237, 52422, 50989, 63675, 53757, 65731, 50806, 52356, 74177, 51930, 52686, 50973, 66714, 76919, 71274, 51411, 51042, 51285, 50944, 51285, 51793, 68398, 53660, 53262, 51160, 51289, 66132, 51160, 51450, 65731, 74859, 51192, 50441, 59018, 50821, 55667, 59237, 53247, 59018, 50821, 55667, 59237, 50821, 53262, 62233, 65731, 74859, 55967, 63331, 50821, 55857, 64659, 50821, 50973, 66714, 76919, 54058, 59018, 50821, 55667, 59237, 62809, 53757, 65731, 50806, 52356, 50980, 50453, 55857, 50806, 54324, 64726, 50844, 65559, 74251, 50989, 52931, 73186, 65559, 74251, 51793, 68398, 54863, 51930, 68398, 66132, 51160, 50799, 63331, 50821, 55857, 64659, 72728, 51363, 51028, 51363, 50931, 51363, 50871, 51411, 51017, 51226, 50872, 51226, 51868, 52090, 65731, 74859, 51192, 50417, 59018, 50806, 55667, 56798, 52774, 51868, 62233, 65731, 74859, 54901, 59018, 50821, 55667, 59237, 52422, 50871, 63675, 53757, 65731, 50806, 52356, 74177, 51930, 52686, 50965, 66289, 61913, 60540, 51411, 51017, 51285, 50872, 51285, 51793, 68398, 53660, 53033, 51160, 51289, 66132, 51160, 51450 ]

[ 0, 250, 32693, 3495, 1011, 625, 8668, 12049, 9, 657, 8, 11926, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 15352, 30054, 15229, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 12608, 6, 230, 10431, 6, 12608, 6, 8, 2060, 6, 2351, 10, 19448, 5466, 1328, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 51050, 51066, 50871, 51591, 50900, 51293, 51176, 79197, 51247, 51790, 50871, 51675, 50900, 52919, 51176, 55428, 50442, 50956, 51080, 50443, 51503, 51742, 61614, 51803, 60212, 51176, 52783, 50871, 52168, 51040, 51680, 51360, 51662, 50425, 50871, 51295, 51360, 51452, 61104, 51535, 50454, 51026, 51592, 51085, 51662, 50900, 51662, 50916, 51422, 50461, 51026, 52168, 50916, 51803, 50900, 51680, 51085, 51742, 50796, 53069, 51050, 53588, 60284, 51141, 50421, 50900, 52151, 50871, 53082, 51176, 57422, 63686, 51295, 51247, 51397, 51176, 51627, 50871, 53487, 50440, 76587, 76495, 75926, 51040, 51742, 51360, 51692, 51176, 52826, 50454, 50876, 51177, 50460, 50931, 51191, 57497, 51422, 51040, 51592, 50427, 50931, 51158, 50435, 50931, 51623, 50437, 50956, 52826, 50900, 53849, 50438, 51503, 52062, 50447, 51503, 51790, 50900, 53487, 50956, 53487, 52177, 51001, 52151, 50430, 51026, 52168, 50431, 51085, 51244, 51026, 51314, 51085, 52980, 50796, 71289, 51680, 51176, 52168, 51360, 52015, 50871, 51680, 50448, 51360, 51391, 51040, 51391, 51176, 51310, 50871, 51310, 50461, 50931, 51121, 55753, 50951, 51363, 50428, 51176, 53486, 51503, 51803, 50900, 52826, 50956, 53849, 50429, 51147, 51417, 51176, 51244, 50900, 51183, 50956, 51047, 50430, 51503, 66563, 50951, 51255, 50459, 51085, 51939, 51026, 51592, 50460, 51001, 52222, 51601, 51026, 51445, 50900, 51445, 50956, 51313, 50416, 51085, 51243, 77033, 51050, 50806, 51050, 51295, 50900, 51477, 50871, 51283, 51176, 51627, 50435, 50900, 51535, 51176, 51047, 51247, 51145, 50871, 53651, 50449, 50876, 61327, 50906, 51110, 50460, 51040, 51627, 51176, 68026, 51145, 51360, 51047, 50461, 51040, 51080, 51176, 51445, 57497, 51742, 50416, 75023, 50423, 50931, 50849, 50431, 51147, 78259, 51081, 51255, 50441, 51503, 77132, 51680, 50956, 54249, 50442, 51176, 51878, 50443, 50900, 51627, 50956, 51314, 51503, 51103, 50447, 51147, 51145, 56020, 50951, 51203, 50423, 51026, 51680, 50900, 52015, 50424, 51085, 51680, 50431, 50931, 51484, 51026, 51447, 50900, 51148, 50956, 52168, 50432, 51085, 79869, 51001, 51679, 50456, 51001, 51110, 50461, 51176, 51490, 51040, 51447, 51360, 51080, 54578, 51447, 65882, 51283, 51176, 51283, 51040, 51283, 51360, 51448, 50931, 51452, 50443, 51026, 52136, 50916, 51627, 50444, 51026, 55002, 50916, 51283, 50900, 51878, 50968, 51627, 51085, 79304, 51244, 51085, 52783, 52478, 50968, 51412, 50422, 51176, 52168, 50871, 51680, 50423, 51247, 52783, 50900, 52783, 50425, 51050, 53487, 50900, 53233, 51176, 55116, 50871, 58643, 50427, 50931, 51422, 50796, 50436, 51360, 51397, 51176, 56563, 50871, 52598, 51040, 51490, 50441, 51040, 50809, 51360, 51477, 51040, 51283, 50454, 50931, 51158, 50461, 50951, 51100, 52591, 50956, 51318, 50965, 51637, 51197, 51749, 51147, 51472, 50421, 50997, 51965, 50424, 50997, 52136, 50956, 51637, 50965, 51637, 51197, 51627, 50442, 74174, 50449, 50900, 51449, 50965, 55275, 51176, 51922, 50956, 51671, 50450, 51001, 51790, 51503, 51243, 50459, 50900, 52062, 51176, 53588, 51503, 51243, 50956, 51243, 50796, 50447, 51028, 51121, 50454, 50876, 51363, 58526, 52980, 51360, 52140, 51040, 54249, 50871, 53849, 50415, 51028, 51043, 68225, 51642, 50423, 51176, 51283, 51040, 51627, 50871, 51397, 51360, 51047, 50429, 51028, 51534, 50438, 51001, 51411, 50446, 50931, 51363, 50451, 50997, 52263, 51234, 51535, 50455, 51001, 51775, 51234, 51183, 50997, 51314, 51040, 68026, 51145, 51601, 51028, 51642, 72784, 51775, 50433, 50906, 51662, 50436, 50956, 52140, 50437, 52046, 51939, 51026, 52528, 50997, 52431, 50440, 50997, 51314, 51197, 51662, 50861, 53487, 50956, 53233, 59412, 50900, 51878, 70161, 51080, 50456, 51360, 51080, 51176, 51314, 51040, 68026, 51080, 50459, 51040, 50895, 51176, 52263, 70837, 51360, 51413, 51040, 51627, 60212, 50931, 51215, 50431, 50951, 51158, 50439, 51197, 51627, 50997, 51878, 50965, 51627, 50956, 51535, 51147, 50918, 50440, 50997, 51627, 50956, 51448, 50965, 51627, 51197, 51562, 60820, 51178, 53502, 52062, 50965, 56599, 51176, 56599, 50956, 53142, 51503, 52222, 50422, 51147, 51358, 50428, 50900, 52071, 51176, 52222, 51503, 52069, 50956, 52151, 52478, 51001, 51095, 56546, 51109, 50435, 51040, 51080, 50436, 51176, 54532, 50871, 51447, 51360, 51803, 50437, 51028, 51203, 50439, 51176, 51627, 51360, 51742, 51040, 52062, 50871, 51445, 50445, 50876, 51363, 50453, 51028, 51203, 50461, 51001, 51255, 52478, 50997, 51679, 51234, 51310, 61683, 51680, 50997, 52015, 50871, 51742, 50421, 50931, 51194, 51234, 51452, 50429, 51001, 51423, 50436, 51028, 51233, 50443, 50876, 51534, 50447, 51026, 57820, 50997, 54249, 52046, 54249, 50956, 54249, 50451, 50906, 52222, 50455, 50956, 51243, 50456, 50997, 51748, 50861, 51449, 51197, 53651, 50796, 55753, 51050, 68382, 51680, 51050, 51677, 50871, 52826, 51176, 52204, 50422, 51247, 51477, 51176, 51477, 50900, 51637, 50871, 51295, 74206, 51175, 50445, 50906, 51177, 50449, 51360, 51080, 51040, 51314, 51176, 51314, 79173, 50451, 50876, 51194, 50454, 51040, 51680, 51360, 51692, 50459, 50931, 51091, 59412, 50931, 77834, 50931, 51692, 50436, 51176, 52598, 50900, 51878, 50956, 52263, 51503, 51627, 50439, 51503, 51161, 50900, 52919, 50956, 53413, 53069, 51001, 52015, 50421, 51026, 51878, 50900, 51878, 50956, 51878, 50422, 51085, 51965, 50423, 51026, 52015, 51085, 51422, 50796, 50434, 51360, 51244, 51040, 51148, 51176, 51314, 77920, 50437, 51360, 51448, 51040, 51749, 51176, 51145, 77920, 50447, 50931, 51233, 50455, 50951, 51101, 62856, 51194, 50416, 51176, 51080, 51503, 79304, 51148, 50956, 62557, 51176, 51592, 50956, 55408, 50900, 55408, 50421, 51503, 51518, 50422, 51081, 51423, 50429, 51147, 51277, 50436, 50951, 51199, 50446, 51001, 51922, 50449, 50956, 52062, 50450, 51085, 51592, 51026, 51592, 50900, 51662, 50453, 51026, 51243, 50454, 51085, 53753, 50796, 53069, 50900, 51244, 51176, 51314, 50871, 62557, 51247, 51145, 50423, 51050, 50961, 50900, 51397, 51050, 51103, 51176, 52919, 50871, 52919, 74206, 75658, 50906, 51110, 50452, 79844, 51040, 51080, 51360, 51790, 50453, 51040, 51244, 51360, 51148, 51176, 51244, 71698, 50460, 50931, 51101, 52591, 51147, 51194, 50427, 51081, 51255, 50436, 51147, 51127, 51176, 52168, 51503, 52015, 50900, 53233, 50956, 54249, 50437, 51503, 51127, 51176, 79304, 51742, 50956, 53233, 50460, 50951, 51400, 52591, 51026, 51447, 50421, 50931, 51534, 51085, 51145, 50424, 51085, 51448, 51026, 51627, 50900, 51535, 50430, 51001, 51961, 50448, 51001, 51363, 50454, 51176, 51283, 51040, 51477, 50871, 51397, 51360, 51535, 50455, 50931, 51127, 50460, 51040, 51080, 50461, 51176, 51878, 50871, 51397, 51360, 51145, 77033, 50931, 51178, 50435, 51026, 51562, 51085, 51790, 50916, 51742, 50436, 51026, 51477, 50916, 51477, 50900, 51310, 51085, 51448, 50900, 53233, 50439, 50968, 51295, 56229, 52069, 50415, 51176, 52151, 50900, 52071, 50871, 52071, 50416, 50965, 51514, 50300, 52783, 51247, 51945, 74850, 52015, 51247, 51742, 68225, 51212, 50428, 50931, 50938, 65281, 55218, 50871, 51100, 50965, 51110, 78202, 61348, 50956, 58263, 51100, 50460, 50876, 50836, 53069, 51040, 51177, 50871, 51060, 66650, 51680, 50421, 51040, 52168, 50871, 51803, 52759, 51742, 62144, 61721, 51028, 56983, 50965, 54207, 50871, 64860, 50965, 51101, 50457, 74730, 51601, 50965, 60171, 51503, 51480 ]

[ 0, 250, 20902, 3495, 3152, 2214, 4246, 10, 11739, 9, 13305, 6, 31391, 1672, 9590, 6, 17465, 102, 6, 8, 21979, 8, 3459, 29589, 6, 2351, 10, 32076, 8, 15352, 30054, 5466, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 23667, 20889, 9, 18817, 13410, 228, 2289, 6, 7630, 14805, 10, 1472, 9, 2365, 9450, 8, 1619, 4780, 4, 20, 33215, 16739, 9, 274, 10431, 119, 6, 163, 119, 406, 6, 8, 83, 401, 3639, 7, 63, 14899, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50796, 50461, 51355, 50818, 51630, 50880, 51229, 50820, 51390, 50836, 50799, 51780, 50879, 52395, 50805, 51590, 50901, 51924, 50892, 50419, 51355, 50808, 51229, 53728, 51630, 50952, 51390, 50878, 50425, 51355, 50890, 51229, 54156, 51350, 50883, 51659, 51060, 51780, 50937, 51366, 50828, 51547, 51101, 51590, 51006, 50431, 79884, 51350, 50808, 51229, 50810, 51366, 61573, 51350, 50818, 51195, 50893, 51659, 50873, 51366, 50820, 51322, 50873, 51547, 72194, 51545, 50830, 51350, 50800, 51912, 50878, 51366, 53783, 50816, 53641, 50816, 52725, 51265, 50930, 51664, 52411, 63209, 68317, 51545, 51010, 51912, 57637, 51265, 50930, 51664, 53875, 51990, 50893, 52812, 63007, 57089, 50855, 52851, 50808, 54012, 50812, 52384, 59700, 56387, 51177, 52698, 50873, 62404, 50807, 68946, 51232, 50807, 51494, 51060, 51181, 50893, 51265, 50821, 51664, 50812, 69419, 51654, 75484, 53152, 50879, 57570, 50873, 50416, 51545, 50833, 51912, 73616, 75493, 51322, 54351, 58001, 50808, 66491, 51374, 50862, 62986, 51049, 50928, 51913, 50821, 56065, 50812, 52148, 50812, 52377, 60341, 51132, 52329, 52785, 50833, 51198, 50867, 51195, 51192, 51322, 51121, 55359, 52209, 53483, 50983, 51198, 51112, 51494, 50807, 51119, 51048, 51429, 51091, 51275, 51091, 56686, 50983, 51640, 51356, 52358, 58721, 51195, 50887, 51322, 50813, 73718, 56432, 51195, 50880, 51322, 50836, 51180, 55686, 51545, 50930, 51912, 53886, 51198, 50844, 51195, 51030, 51322, 50917, 55901, 58014, 51374, 51238, 50456, 51099, 51116, 51429, 51116, 51275, 51116, 52070, 51141, 52533, 51141, 58001, 51356, 51195, 50809, 51322, 52923, 51041, 55397, 51195, 50882, 51322, 50812, 50799, 51265, 50859, 51664, 50854, 51842, 50416, 51545, 50809, 51912, 63315, 51374, 50879, 51195, 50921, 51322, 60724, 52902, 60931, 51195, 51010, 51322, 54818, 51099, 50845, 51275, 50897, 51429, 50854, 51910, 50893, 55359, 61869, 51195, 50887, 51322, 61721, 51374, 50892, 51350, 50821, 51366, 52749, 51869, 54534, 51239, 58039, 51195, 50840, 51322, 60633, 51350, 50884, 51366, 50839, 56846, 50930, 52103, 50800, 53151, 50808, 51702, 51724, 51099, 50967, 53366, 50901, 51708, 51091, 51429, 50865, 51275, 51048, 51349, 50859, 51659, 50808, 51547, 53835, 51135, 62969, 57089, 50887, 52851, 57108, 54012, 50862, 52384, 65891, 55749, 50854, 52719, 50812, 52601, 54746, 51349, 50857, 51350, 50887, 51366, 50813, 71218, 50818, 52058, 62813, 51349, 50820, 63330, 50855, 56844, 50810, 53339, 50874, 53175, 64913, 52537, 50889, 57089, 50911, 52384, 55260, 51099, 50925, 76022, 71008, 51910, 50895, 51195, 50806, 51322, 52808, 52538, 50895, 52851, 50923, 54012, 64751, 51349, 59163, 51640, 50890, 52601, 50833, 52058, 52955, 51708, 50857, 51350, 50859, 51366, 50854, 55749, 51420, 50863, 52719, 67383, 51374, 50809, 51195, 50808, 51322, 50822, 53175, 57400, 63330, 50855, 56844, 50862, 53339, 61982, 51181, 50893, 53084, 50879, 65100, 51159, 56387, 50925, 52176, 50807, 51198, 50830, 51494, 50795, 51265, 50887, 51664, 50813, 50709, 50327, 50893, 51927, 51005, 50883, 52310, 50795, 52578, 51173, 61249, 50873, 50416, 51545, 50800, 51912, 75802, 58001, 51008, 51374, 50840, 51195, 50809, 51322, 50813, 52488, 54681, 51119, 50808, 50709, 50330, 50887, 51960, 51648, 50894, 52002, 50830, 63647, 53184, 51195, 50829, 51322, 59509, 51132, 54392, 52785, 50878, 51198, 50837, 51195, 51286, 51322, 64532, 52538, 53644, 56686, 51291, 51275, 51091, 53483, 51091, 51198, 51112, 51494, 51091, 51119, 51091, 51640, 51356, 52620, 55813, 75493, 51322, 53614, 64863, 55757, 51545, 50890, 51912, 54247, 51195, 50830, 51322, 50955, 60551, 51198, 50904, 51195, 50936, 51322, 50917, 55359, 58464, 51545, 50862, 51912, 55735, 52533, 51204, 51099, 51077, 51429, 51077, 51275, 51077, 52070, 51077, 58001, 51141, 51374, 51073, 71218, 61765, 51195, 50808, 51322, 50822, 50799, 51265, 50812, 51664, 50874, 51956, 50416, 51545, 50836, 51912, 66182, 52474, 50805, 51195, 50921, 51322, 50897, 51039, 55047, 62518, 51374, 66373, 50880, 51322, 50855, 68991, 60568, 51195, 50809, 51322, 59833, 52474, 50805, 51350, 50930, 51366, 53695, 52176, 52972, 51239, 59383, 67250, 51322, 55643, 52533, 59948, 51844, 50901, 51350, 50846, 51366, 52766, 52537, 51189, 51099, 51091, 51429, 50914, 51275, 51159, 51659, 50830, 51547, 50878, 52620, 60862, 51857, 55322, 51350, 50800, 51366, 53197, 51041, 60145, 51195, 50806, 51322, 54230, 51708, 51267, 60310, 51346, 51338, 50873, 53659, 52349, 51957, 50873, 51350, 50821, 51366, 51420, 55397, 51659, 50859, 51547, 50854, 57089, 50962, 52851, 50890, 54012, 50855, 52384, 62659, 56387, 50942, 53152, 50911, 57570, 51012, 52698, 50911, 62404, 51312, 51232, 51345, 51494, 50805, 78371, 51265, 50808, 51664, 50844, 69419, 50849, 70275, 56092, 51545, 50855, 51912, 66182, 62986, 52734, 58001, 50833, 66491, 51374, 50809, 51195, 50880, 51322, 50855, 52008, 51913, 50858, 56065, 51033, 52148, 50882, 50425, 51132, 54818, 52785, 50854, 51198, 50904, 51195, 50923, 51322, 52108, 51179, 52209, 56686, 51364, 53483, 51364, 51198, 51345, 51494, 51294, 51119, 51294, 51429, 51294, 51275, 51294, 51640, 51446, 52352, 51005, 53593, 51195, 50808, 51322, 50844, 51570, 54534, 55757, 51195, 50890, 51322, 50855, 51180, 54914, 51545, 50840, 51912, 54086, 51198, 50854, 51195, 50860, 51322, 53538, 52538, 53650, 58001, 51472, 52533, 50983, 51099, 50991, 51429, 50991, 51275, 50967, 52070, 50983, 51374, 51194, 51195, 50809, 51322, 53111, 58597, 61765, 65033, 51322, 60870, 68834, 51664, 50864, 51094, 50301, 50844, 51956, 50417, 57058, 51008, 51545, 50840, 51912, 65942, 52474, 74895, 51195, 50821, 51322, 51420, 58200, 53087, 68177, 51429, 50810, 76440, 57058, 50974, 51195, 50962, 51322, 52634, 51041, 54013, 51195, 50809, 51322, 52810, 51869, 50835, 52474, 50974, 51350, 50887, 51366, 52784, 51187, 63795, 51195, 50828, 51322, 57405, 54144, 51003, 51350, 50895, 51366, 50841, 56846, 50859, 52103, 50859, 51702, 59646, 51708, 51091, 51099, 51060, 51275, 50807, 51429, 50865, 51659, 51045, 51547, 50830, 52553, 50835, 53151, 62442, 57089, 50808, 52851, 50887, 54012, 50862, 52384, 73946, 55749, 50800, 52719, 50833, 52601, 54653, 51350, 50882, 51366, 51420, 59275, 50895, 52058, 62150, 63330, 50810, 56844, 50813, 53339, 55761, 53175, 53140, 60310, 51255, 51099, 50977, 76022, 51489, 50808, 57058, 51775, 51195, 50806, 51322, 50873, 57089, 50923, 55359, 50818, 52851, 50923, 54012, 50923, 52384, 50893, 50455, 51350, 50858, 51366, 50854, 52058, 51754, 51708, 50813, 55749, 51582, 50908, 52719, 50812, 52601, 57264, 51349, 50813, 67250, 51322, 50886, 63330, 50962, 56844, 50862, 53339, 50809, 53175, 58449, 53084, 50806, 62404, 51073, 51198, 51215, 51232, 50924, 51494, 50879, 56387, 50937, 51181, 50987, 51265, 50800, 51664, 50810, 50709, 50327, 50911, 52553, 50834, 52310, 50806, 61249, 51012, 50417, 51545, 50809, 51912, 65942, 51374, 53299, 51232, 51006, 58001, 50854, 79408, 51195, 50921, 51322, 50925, 50709, 50330, 50890, 52008, 51648, 50855, 63647, 50894, 52488, 53049, 52785, 50855, 51198, 50864, 51132, 50809, 51195, 51500, 51322, 69365, 52538, 62171, 56686, 51343, 50432, 53483, 51141, 51198, 51116, 51494, 50889, 51275, 51141, 51119, 51157, 51640, 51048, 54958, 51005, 52600, 51195, 50865, 51322, 50866, 51715, 52388, 53756, 53675, 51374, 50833, 51545, 50811, 51912 ]

[ 0, 250, 765, 37903, 9, 20425, 5175, 40385, 930, 4246, 18558, 10, 25118, 6, 38668, 483, 6, 8, 38668, 9590, 6, 278, 11, 5, 762, 9, 274, 10431, 3694, 19, 10, 1769, 20889, 8, 10, 33215, 13931, 9, 274, 10431, 119, 6, 163, 119, 6, 274, 10431, 119, 6, 8, 230, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 53134, 50795, 54308, 51492, 51902, 51161, 50422, 54862, 50800, 58606, 53244, 53134, 57775, 54862, 50800, 58606, 53402, 53134, 59830, 54862, 50800, 58606, 53484, 53190, 50795, 52170, 50918, 50458, 54862, 50800, 58606, 50830, 50799, 53190, 60010, 54862, 50800, 58606, 53244, 52452, 78746, 50918, 50434, 54862, 50800, 58606, 53402, 52452, 59830, 54862, 50800, 58606, 53484, 52751, 50795, 52075, 72576, 54862, 50800, 58606, 50830, 50799, 74624, 52290, 51161, 50422, 54862, 50800, 58606, 53244, 52174, 57775, 54862, 50800, 58606, 53402, 52174, 59830, 54862, 50800, 58606, 53484, 52751, 50795, 52075, 72576, 54862, 50800, 58606, 50830, 50799, 54133, 50795, 52974, 51161, 50422, 54862, 50800, 58606, 53244, 54133, 57775, 54862, 50800, 58606, 53402, 54133, 59830, 54862, 50800, 58606, 53484, 52452, 78746, 72576, 54862, 50800, 53190, 50800, 58606, 50830, 50799, 53134, 50795, 59440, 51492, 51902, 51161, 50422, 55537, 50800, 53377, 53244, 53134, 57775, 55537, 50800, 53377, 53402, 53134, 59830, 55537, 50800, 53377, 53484, 53190, 50795, 52170, 50918, 50458, 55537, 50800, 53377, 50830, 50799, 53190, 60010, 55537, 50800, 53377, 53244, 52452, 78746, 50918, 50434, 55537, 50800, 53377, 53402, 52452, 59830, 55537, 50800, 53377, 53484, 52751, 50795, 52075, 72576, 55537, 50800, 53377, 50830, 50799, 52452, 78746, 51036, 50422, 55537, 50800, 53377, 53244, 52452, 57775, 55537, 50800, 53377, 53402, 52452, 59830, 55537, 50800, 53377, 53484, 52452, 59831, 55537, 50800, 53377, 50830, 50799, 53190, 50795, 52170, 51036, 50422, 55537, 50800, 53377, 53244, 53190, 57775, 55537, 50800, 53377, 53402, 53190, 59830, 55537, 50800, 53377, 53484, 53190, 59831, 55537, 50800, 53190, 50800, 53377, 50830, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15352, 30054, 3495, 1619, 2214, 19, 5175, 4785, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 18558, 6, 38668, 11212, 6, 8, 3459, 9590, 4, 8504, 11, 381, 3694, 19, 10, 231, 73, 398, 86, 6543, 8, 10, 7212, 20889, 6, 24, 7630, 6568, 10, 1372, 8, 33558, 6711, 4, 20, 33215, 16739, 9, 3676, 6, 1918, 6, 211, 6, 1918, 6, 211, 3639, 7, 63, 12298, 16426, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51540, 50628, 50473, 51019, 50975, 50485, 51069, 51059, 51540, 50798, 53434, 55893, 58091, 51336, 50425, 62059, 50918, 55057, 50820, 58969, 50918, 55846, 51336, 52133, 51010, 50427, 51089, 50942, 51118, 51051, 50428, 51023, 52749, 52133, 61169, 51089, 50977, 51118, 51079, 52133, 52599, 73550, 51023, 51254, 50443, 52133, 61841, 52133, 50840, 51899, 54501, 50818, 50462, 73550, 50474, 50798, 53434, 50818, 51019, 50993, 51540, 50798, 53434, 50883, 51069, 51029, 50424, 62059, 50918, 58969, 50918, 55846, 51336, 58091, 51336, 50425, 52133, 50930, 55057, 50834, 51118, 51051, 51089, 50925, 51023, 50897, 50431, 52133, 61170, 52133, 61055, 51089, 51101, 51023, 51177, 57315, 77356, 51481, 50442, 52133, 52513, 52133, 71324, 54501, 50884, 51474, 50473, 51019, 50993, 51540, 50798, 53434, 50895, 51069, 51059, 50425, 62059, 50918, 58969, 51336, 55846, 51336, 58091, 51336, 52133, 52422, 50843, 55477, 51089, 50822, 51118, 50827, 60377, 50431, 52133, 66144, 52133, 60831, 51089, 50925, 51118, 50955, 51023, 50925, 57315, 60067, 52133, 50836, 51899, 54501, 50818, 50462, 73550, 50473, 51019, 51066, 50474, 50798, 53434, 50818, 51540, 50798, 53434, 50883, 51069, 51059, 50424, 62059, 51336, 58969, 50918, 55846, 50918, 58091, 50918, 50425, 52133, 53939, 73550, 66525, 73313, 51118, 68313, 52133, 60831, 51089, 51100, 51118, 51212, 51023, 51121, 52133, 52444, 50843, 58655, 52133, 50887, 51899, 54501, 50884, 50474, 66862, 51540, 50798, 53434, 50883, 51069, 51029, 50946, 51191, 50425, 50850, 53049, 71970, 56640, 50885, 51313, 50909, 61868, 50850, 56288, 50844, 50909, 52788, 50843, 65289, 51677, 50449, 51089, 50924, 51282, 74428, 50859, 51955, 51695, 51989, 57399, 54148, 70629, 52803, 50854, 50462, 50843, 50820, 50473, 54033, 50955, 50474, 50798, 53434, 50841, 66862, 50485, 51069, 51300, 51540, 50798, 53434, 71036, 51446, 55057, 65734, 51313, 55119, 63040, 67577, 55108, 50843, 50839, 56521, 56105, 59178, 50868, 51803, 51955, 51695, 50895, 51118, 50952, 51089, 50859, 51282, 50812, 54148, 50952, 50850, 51447, 50461, 52803, 50810, 50462, 50843, 50820, 50473, 54033, 50955, 50474, 50798, 53434, 50841, 51019, 50975, 51540, 50798, 53434, 50883, 51069, 51029, 50946, 51134, 50425, 55853, 50868, 53220, 50843, 65734, 51449, 50909, 63123, 56521, 56105, 50909, 55467, 50843, 65289, 51592, 51955, 51695, 50895, 51118, 50830, 51282, 68094, 60354, 51318, 50451, 54148, 50938, 50462, 50843, 50820, 52803, 50878, 50473, 51019, 50993, 54033, 50910, 50474, 50798, 53434, 50841, 51540, 50798, 53434, 50883, 50927, 51184, 55057, 50841, 58518, 55119, 51007, 50844, 50848, 58651, 50437, 59416, 50872, 54123, 50843, 69263, 51445, 51007, 64827, 51083, 50952, 51061, 51033, 51955, 51695, 50895, 51282, 50830, 52978, 62237, 51692, 50461, 54148, 50910, 50462, 50843, 50820, 50472, 52798, 50859, 50474, 50798, 53434, 50841, 58992, 51540, 50798, 53434, 50883, 50927, 51029, 50848, 53380, 50425, 55904, 50850, 53220, 71970, 51007, 78555, 67907, 50436, 68100, 55119, 50437, 51007, 52691, 50843, 50839, 73182, 67103, 50449, 50953, 51029, 74356, 50976, 56930, 50976, 51955, 51695, 50895, 51595, 50878, 51083, 50830, 50935, 51422, 50451, 51020, 50942, 50462, 50843, 50820, 50474, 50798, 53434, 50841, 63615, 50485, 50927, 51300, 51540, 50798, 53434, 65003, 52431, 55057, 50841, 55853, 55904, 50872, 51381, 51007, 61868, 59416, 61395, 51007, 50942, 57315, 50839, 55952, 75898, 50449, 50953, 51029, 51595, 50925, 51020, 50830, 51083, 50840, 51955, 51695, 50895, 74356, 50976, 56930, 50976, 74086, 50462, 50843, 50820, 50473, 57416, 50474, 50798, 53434, 50841, 51540, 50798, 53434, 50883, 51019, 51795, 52255, 51677, 50425, 50992, 51051, 55057, 69149, 50851, 58570, 50868, 52256, 50437, 50992, 50959, 50868, 51790, 50935, 55467, 50843, 77444, 51939, 50447, 52187, 51692, 51955, 51695, 50895, 52159, 50859, 51595, 59494, 50830, 50935, 51749, 50462, 50843, 50820, 50473, 66862, 50474, 50798, 53434, 50841, 50483, 51711, 51518, 50485, 51069, 51352, 51540, 50798, 53434, 62518, 50885, 52919, 55057, 50841, 56105, 58489, 50427, 50868, 63123, 50850, 57609, 50822, 58489, 50868, 52222, 57315, 54525, 52225, 51692, 50449, 50850, 51358, 51955, 51695, 50895, 51089, 50921, 51118, 72625, 50800, 50462, 50843, 50820, 50473, 66862, 50474, 50798, 53434, 50841, 51540, 50798, 53434, 50883, 51069, 51352, 52033, 52122, 51656, 52337, 50946, 51191, 55057, 65734, 51313, 57315, 65289, 51677, 50449, 51089, 50924, 51282, 74428, 50859, 51955, 51695, 50895, 50462, 50843, 50820, 50474, 50798, 53434, 50841, 51019, 50975, 50485, 51069, 51795, 50946, 51446, 51540, 50798, 53434, 62518, 55119, 57409, 50885, 51313, 55057, 58694, 66940, 58570, 50909, 52691, 50843, 65289, 51803, 50448, 52255, 52151, 50449, 51118, 50952, 51089, 50859, 52187, 51939, 51955, 51695, 50895, 51282, 56709, 51447, 50462, 50843, 50820, 50472, 66862, 50474, 50798, 53434, 50841, 50483, 51711, 53082, 50485, 51069, 51184, 51656, 52337, 50946, 51134, 51540, 50798, 53434, 53087, 50843, 65734, 51449, 55119, 57553, 67577, 57892, 50868, 56180, 50843, 57927, 50850, 62427, 51742, 71872, 51955, 51695, 50895, 51118, 50830, 51282, 68094, 60354, 51318, 50462, 50843, 50820, 50473, 63167, 50474, 50798, 53434, 50841, 50485, 51838, 51939, 51540, 50798, 53434, 50883, 50927, 52442, 50425, 50848, 58651, 56992, 55878, 51007, 52654, 50843, 58694, 56684, 58126, 50872, 51445, 51007, 50942, 57315, 58560, 51083, 50952, 51061, 51033, 51282, 61709, 51692, 51955, 51695, 50895, 51743, 55392, 50462, 50843, 50820, 50474, 50798, 53434, 50841, 55952, 50485, 50927, 51352, 50848, 53380, 51540, 50798, 53434, 50883, 51711, 51422, 55057, 50841, 58518, 50850, 55029, 51381, 50427, 51007, 53945, 50843, 69263, 51400, 50850, 68744, 50854, 67103, 51955, 51695, 50895, 50953, 51300, 51595, 50878, 51083, 60732, 50942, 52187, 51939, 51615, 51939, 50935, 51422, 50462, 50843, 50820, 50474, 50798, 53434, 50841, 50476, 63615, 50483, 51743, 51939, 51656, 51662, 50485, 50927, 51300, 51540, 50798, 53434, 65003, 52431, 55057, 50841, 56401, 50427, 50872, 51391, 50850, 70175, 61573, 67071, 57315, 57927, 73182, 57896, 50850, 51157, 51007, 67973, 52187, 51662, 51615, 51677, 50449, 50953, 51300, 51595, 50925, 51020, 50830, 51083, 59708, 51318, 51955, 51695, 50895, 50462, 50843, 50820, 50474, 50798, 53434, 50841, 63615, 50483, 51838, 52644, 50484, 52187, 52644, 50485, 51019, 51352, 51540, 50798, 53434, 53087, 71970, 62940, 50992, 58975, 69772, 51134, 50437, 50992, 54123, 50843, 77444, 51591, 50935, 56288, 51790, 50449, 52159, 50859, 51595, 59494, 50830, 50935, 51749, 51955, 51695, 58418, 51019, 51029, 50462, 50843, 50820, 50474, 50798, 53434, 50841, 51205, 50976, 50484, 51656, 53487, 50485, 51069, 51352, 52033, 52826, 51540, 50798, 53434, 50883, 57195, 64510, 60647, 51220, 50865, 50424, 50885, 52919, 51694, 55630, 50841, 57195, 52014, 50325, 50910, 50427, 57409, 62308, 50909, 62169, 51220, 52309, 66757, 50987, 50437, 50868, 59983, 50816, 53944, 50839, 57195, 50977, 50868, 51945, 50850, 60940, 66340, 50948, 50442, 66757, 53969, 51220, 50911, 50449, 51019, 51300, 51089, 50921, 59941, 51101, 50850, 51358, 51062, 51167, 51899, 54119, 50895, 51118, 72625, 50800, 50462, 50816, 52141, 50820, 59941, 50897, 51062, 50893, 50468, 61462, 51588, 50330, 50917, 50474, 50798, 53754 ]

[ 0, 250, 765, 5175, 3495, 2214, 19, 10, 2933, 648, 1372, 16464, 6, 4246, 3459, 8, 81, 9756, 29589, 7513, 30, 41, 3459, 9590, 4, 85, 18, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 20902, 12701, 4450, 20889, 9, 10572, 13410, 228, 2289, 6, 22690, 10, 33215, 16739, 9, 272, 119, 1176, 406, 6, 230, 406, 6, 274, 406, 73, 250, 6, 163, 43531, 406, 428, 245, 6, 8, 83, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 67004, 50426, 50637, 50461, 53046, 50807, 51912, 51048, 50799, 51593, 56082, 51366, 51048, 51209, 51056, 50964, 51072, 50425, 53046, 50943, 51912, 68106, 51366, 51056, 51209, 51056, 69871, 50437, 54223, 50943, 51451, 67272, 51547, 51056, 51229, 51056, 51105, 51072, 50449, 54223, 50943, 51451, 70147, 51547, 51056, 51229, 51056, 50964, 51072, 50461, 52468, 50943, 51451, 51056, 76308, 51056, 51674, 51056, 50927, 51072, 50425, 52468, 50943, 51451, 68106, 51256, 51056, 51674, 51056, 50945, 51072, 50437, 54223, 50943, 51451, 67272, 52856, 51566, 51209, 51056, 51590, 51056, 51105, 51072, 50449, 54223, 50943, 51451, 70147, 51323, 51566, 51209, 51056, 51590, 51056, 50945, 51072, 50461, 52468, 50943, 53008, 51056, 51451, 51056, 50799, 51839, 52017, 51209, 51056, 51408, 51056, 50927, 51072, 50425, 52468, 50943, 53008, 51056, 51451, 68106, 51209, 51056, 51408, 51056, 51096, 51072, 50437, 54223, 50943, 51917, 67272, 51256, 51056, 51229, 51056, 51105, 51072, 50449, 54223, 50943, 51917, 70147, 51256, 51056, 51229, 51056, 51228, 51072, 50461, 52468, 50943, 51451, 51056, 50799, 51593, 51551, 51547, 51056, 51674, 51056, 50927, 51072, 50425, 52468, 50943, 51451, 68106, 51547, 51056, 51674, 51056, 50964, 51072, 50437, 55655, 50943, 51912, 51056, 51256, 67272, 51746, 51551, 51590, 51056, 51924, 51056, 51228, 51072, 50449, 55655, 50943, 51912, 51056, 51256, 70147, 51590, 51056, 51924, 51056, 51205, 51072, 50461, 53046, 50943, 51912, 51056, 77532, 53601, 51366, 51056, 51209, 51056, 50964, 51072, 50425, 53046, 50943, 51912, 68106, 51366, 51056, 51209, 51056, 50927, 51072, 50437, 51830, 50943, 51366, 51056, 51209, 67272, 51590, 51056, 51924, 51056, 51019, 51072, 50449, 51830, 50943, 51366, 51056, 51209, 70147, 51590, 51056, 51924, 51056, 51205, 51072, 50461, 52733, 50943, 51451, 51056, 69853, 51056, 51590, 51056, 51069, 51072, 50425, 52733, 50943, 51451, 68106, 51209, 51056, 51590, 51056, 51205, 51072, 50437, 52812, 50943, 51772, 67272, 51229, 51056, 51334, 51056, 50964, 51072, 50449, 52812, 50943, 51772, 70147, 51229, 51056, 51334, 51056, 51105, 51072, 50461, 52286, 50943, 51322, 51056, 50799, 51593, 56082, 51674, 51056, 51334, 51056, 50945, 51072, 50425, 52286, 50943, 51322, 68106, 51674, 51056, 51334, 51056, 50927, 51072, 50437, 51830, 50943, 51772, 67272, 51229, 51056, 51934, 51056, 51105, 51072, 50449, 51830, 50943, 51772, 70147, 51229, 51056, 51934, 51056, 69871, 50461, 53008, 50943, 51547, 51056, 79479, 51056, 51924, 51056, 51325, 51072, 50425, 53008, 50943, 51547, 68106, 51334, 51056, 51924, 51056, 52053, 51072, 50437, 51917, 50943, 51256, 67272, 51770, 51566, 51590, 51056, 51924, 51056, 52022, 51072, 50449, 51917, 50943, 51256, 70147, 52106, 51566, 51590, 51056, 51924, 51056, 51415, 51072, 50461, 51451, 50943, 51209, 51056, 50799, 51770, 53601, 51590, 51056, 51924, 51056, 51133, 51072, 50425, 51451, 50943, 51209, 68106, 51590, 51056, 51924, 51056, 69871, 50437, 51322, 50943, 51229, 67272, 51334, 51056, 51893, 51056, 51133, 51072, 50449, 51322, 50943, 51229, 70147, 51334, 51056, 51893, 51056, 51720, 51072, 50461, 51366, 50943, 51590, 51056, 50799, 51390, 51056, 52004, 51056, 51817, 51072, 50425, 51366, 50943, 51590, 68106, 51390, 51056, 52004, 51056, 51415, 51072, 50437, 51664, 50943, 51209, 67272, 51334, 51056, 51924, 51056, 51011, 51072, 50449, 51664, 50943, 51209, 70147, 51334, 51056, 51924, 51056, 69871, 50461, 51664, 50943, 51256, 51056, 50799, 52106, 53601, 51334, 51056, 51924, 51056, 51011, 51072, 50425, 51664, 50943, 51256, 68106, 51334, 51056, 51924, 51056, 50927, 51072, 50437, 53008, 50943, 51256, 67272, 51590, 51056, 51924, 51056, 51228, 51072, 50449, 53008, 50943, 51256, 70147, 51590, 51056, 51924, 51056, 50945, 51072, 50461, 51830, 50943, 51256, 51056, 50799, 51229, 51056, 51934, 51056, 69871, 50425, 51830, 50943, 51256, 68106, 51229, 51056, 51934, 51056, 50945, 51072, 50437, 51830, 50943, 51256, 67272, 51590, 51056, 52031, 51056, 51105, 51072, 50449, 51830, 50943, 51256, 70147, 51590, 51056, 52031, 51056, 51415, 51072, 50461, 51451, 50943, 51209, 51056, 50799, 51940, 53601, 51590, 51056, 51924, 51056, 51133, 51072, 50425, 51451, 50943, 51209, 68106, 51590, 51056, 51924, 51056, 51415, 51072, 50437, 51451, 50943, 51366, 67272, 51229, 51056, 51924, 51056, 51011, 51072, 50449, 51451, 50943, 51366, 70147, 51229, 51056, 51924, 51056, 51133, 51072, 50461, 51912, 50943, 51256, 51056, 50799, 51229, 51056, 51390, 51056, 51415, 51072, 50425, 51912, 50943, 51256, 68106, 51229, 51056, 51390, 51056, 51271, 51072, 50437, 52733, 50943, 51322, 51056, 51674, 67272, 51334, 51056, 51893, 51056, 51817, 51072, 50449, 52733, 50943, 51322, 51056, 51674, 70147, 51334, 51056, 51893, 51056, 51720, 51072, 50461, 51664, 50943, 51366, 51056, 51209, 51056, 50799, 53772, 53601, 51334, 51056, 51924, 51056, 51011, 51072, 50425, 51664, 50943, 51366, 51056, 51209, 68106, 51334, 51056, 51924, 51056, 69871, 50437, 52000, 50943, 51322, 67272, 51209, 51056, 51390, 51056, 50945, 51072, 50449, 52000, 50943, 51322, 70147, 51209, 51056, 51390, 51056, 69871, 50461, 51912, 50943, 51256, 51056, 50799, 51674, 51056, 51390, 51056, 51415, 51072, 50425, 51912, 50943, 51256, 68106, 51674, 51056, 51390, 51056, 51325, 51072, 50437, 51912, 50943, 51256, 67272, 51229, 51056, 51390, 51056, 51011, 51072, 50449, 51912, 50943, 51256, 70147, 51229, 51056, 51390, 51056, 51415, 51072, 50461, 52000, 50943, 51256, 51056, 50799, 52150, 52017, 51229, 51056, 51390, 51056, 51186, 51072, 50425, 52000, 50943, 51256, 68106, 51229, 51056, 51390, 51056, 50945, 51072, 50437, 51664, 50943, 51322, 51056, 51229, 67272, 51334, 51056, 53076, 51056, 51011, 51072, 50449, 51664, 50943, 51322, 51056, 51229, 70147, 51334, 51056, 53076, 51056, 51213, 51072, 50461, 51322, 50943, 51674, 51056, 50799, 53824, 52017, 51590, 51056, 51893, 51056, 50945, 51072, 50425, 51322, 50943, 51674, 68106, 51590, 51056, 51893, 51056, 69871, 50437, 51322, 50943, 51209, 67272, 51408, 51056, 51924, 51056, 51019, 51072, 50449, 51322, 50943, 51209, 70147, 51408, 51056, 51924, 51056, 50927, 51072, 50461, 51917, 50943, 51209, 51056, 50799, 51940, 52017, 51229, 51056, 51924, 51056, 51228, 51072, 50425, 51917, 50943, 51209, 68106, 51229, 51056, 51924, 51056, 51019, 51072, 50437, 51451, 50943, 51256, 67272, 51229, 51056, 52031, 51056, 50964, 51072, 50449, 51451, 50943, 51256, 70147, 51229, 51056, 52031, 51056, 51069, 51072, 50461, 52286, 50943, 51322, 51056, 51256, 51056, 50799, 52106, 52017, 51408, 51056, 51390, 51056, 51096, 51072, 50425, 52286, 50943, 51322, 51056, 51256, 68106, 51408, 51056, 51390, 51056, 50964, 51072, 50437, 52468, 50943, 51664, 50943, 51322, 67272, 51256, 51056, 51229, 51056, 51390, 51056, 50927, 51072, 50449, 52468, 50943, 51664, 50943, 51322, 70147, 51256, 51056, 51229, 51056, 51390, 51056, 51019, 51072, 50461, 54223, 51359, 52000, 51359, 51772, 51359, 50799, 51940, 52017, 51209, 51359, 51408, 51359, 52031, 51359, 51105, 51184, 50461, 52733, 50943, 51322, 51056, 76676, 52017, 51547, 51056, 51229, 51056, 51019, 51072, 50425, 52733, 50943, 51322, 68106, 51547, 51056, 51229, 51056, 51213, 51072, 50437, 52468, 50943, 51912, 67272, 51547, 51056, 51674, 51056, 50927, 51072, 50449, 52468, 50943, 51912, 70147, 51547, 51056, 51674 ]

[ 0, 713, 765, 5175, 2214, 6, 30291, 19, 10, 25306, 14981, 6, 16, 10, 20902, 15229, 278, 11, 272, 538, 4, 85, 1575, 10, 11577, 11739, 9, 38668, 18569, 6, 6755, 12547, 6, 13305, 6, 32909, 6, 8, 15352, 30054, 7, 4339, 4, 590, 10, 1769, 20889, 9, 19641, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 10, 15352, 30054, 8, 20425, 2125, 14, 7630, 6568, 10, 1472, 9, 980, 8, 11098, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 56431, 50897, 66726, 58728, 50798, 51423, 51711, 51801, 50700, 50347, 52096, 53667, 53520, 50420, 53956, 55640, 53136, 57066, 54173, 57277, 59983, 53136, 65114, 53956, 50897, 50768, 50284, 55345, 56431, 51162, 51528, 51423, 50420, 53956, 55640, 53136, 57066, 54173, 57277, 59983, 53136, 58937, 53956, 50897, 50768, 50283, 58271, 56431, 50897, 50745, 50275, 51333, 58177, 50925, 55774, 53312, 53956, 50897, 50768, 50283, 66376, 54307, 51801, 50799, 56431, 50897, 50745, 50273, 58728, 50798, 51423, 55123, 53520, 50420, 53956, 55640, 53136, 57066, 54173, 57277, 59983, 53136, 65114, 53956, 50897, 50768, 50280, 58298, 56431, 51162, 51528, 51423, 50420, 53956, 55640, 53807, 57066, 53775, 57277, 59983, 53807, 58937, 53775, 50897, 50768, 50283, 57012, 50768, 50283, 54208, 54173, 50897, 50745, 50275, 51333, 50768, 50284, 51689, 50275, 53312, 53136, 50897, 50799, 56431, 50897, 66726, 58728, 50798, 51423, 55815, 51801, 53667, 53520, 50420, 53956, 55640, 53136, 57066, 54173, 57277, 59983, 53136, 65114, 53956, 50897, 50768, 50284, 55345, 56431, 51162, 51528, 51423, 50420, 53956, 55640, 53136, 57066, 54173, 57277, 59983, 53136, 58937, 53956, 50897, 50768, 50283, 58271, 56431, 50897, 50745, 50275, 51333, 58177, 50925, 55774, 53312, 53956, 50897, 50768, 50283, 50925, 50457, 54307, 51801, 50799, 56431, 50897, 50745, 50273, 58728, 50798, 51423, 55123, 53520, 50420, 53956, 55640, 53136, 57066, 54173, 57277, 59983, 53136, 65114, 53956, 50897, 50768, 50280, 58298, 56431, 51162, 51528, 51423, 50420, 53956, 55640, 53807, 57066, 53775, 57277, 59983, 53807, 58937, 53775, 50897, 50768, 50283, 58271, 54173, 50897, 58177, 58298, 53136, 50897, 51304, 50874, 50768, 50283, 66376, 51733, 50874, 50799, 53091, 51191, 54173, 51189, 50745, 50280, 52136, 51926, 51477, 57317, 51343, 61477, 57394, 51423, 51607, 51419, 50432, 55837, 51591, 54173, 51591, 50745, 50280, 51490, 51926, 52015, 57317, 51977, 61477, 76270, 51008, 51808, 51803, 50444, 50768, 50320, 54230, 50768, 50320, 55345, 50768, 50320, 50873, 50799, 53956, 51191, 54173, 51189, 50745, 50280, 52136, 51926, 51477, 57317, 51343, 61477, 57394, 51423, 51440, 51419, 50432, 55521, 51591, 53136, 51591, 50745, 50280, 51490, 51926, 52015, 53954, 51977, 61477, 61113, 51008, 51929, 51803, 50444, 73348, 58332, 50768, 50317, 59631, 51304, 50874, 50768, 50317, 67419, 51733, 50874, 50799, 53091, 51191, 54173, 51189, 50745, 50280, 52136, 51926, 51477, 57317, 51343, 61477, 57394, 51423, 51607, 51419, 50432, 55837, 51591, 54173, 51591, 50745, 50280, 51490, 51926, 52015, 57317, 51977, 61477, 76270, 51008, 51808, 51803, 50444, 50768, 50320, 54230, 51304, 50974, 50768, 50320, 55345, 51384, 50974, 50768, 50320, 56517, 50768, 50320, 50844, 50799, 53956, 50849, 54173, 50849, 50745, 50273, 51074, 51733, 50974, 57317, 54187, 51423, 51440, 54335, 54240, 51486, 53136, 51486, 50745, 50275, 52528, 51384, 51939, 53954, 51941, 50798, 51423, 51206, 52482, 51434, 51662, 64996, 58732, 51365, 50856, 51210, 50768, 50317, 51142, 51669, 68582, 51509, 58732, 51365, 50856, 51210, 50768, 50317, 51142, 51669, 57818, 51509, 58732, 51365, 50856, 51210, 50768, 50317, 51142, 51669, 60675, 51509, 58732, 51365, 50856, 51210, 50768, 50317, 51142, 51669, 58450, 51509, 58732, 51365, 50856, 51210, 50768, 50317, 51142, 51669, 63280, 51509, 58732, 51365, 50856, 51210, 50768, 50317, 51142, 51669, 58248, 51509, 58768, 51365, 50856, 51210, 50768, 50316, 51142, 51669, 61898, 51509, 58768, 51365, 50856, 51210, 61345, 51142, 51669, 50959, 50799, 50745, 50280, 51333, 51093, 51244, 51744, 65506, 61509, 51142, 51607, 51148, 52206, 50807, 51039, 64078, 50745, 50280, 63819, 51423, 50804, 61509, 51142, 52206, 51736, 50745, 50280, 59074, 51142, 52206, 51646, 50745, 50280, 51074, 51357, 51477, 52298, 58732, 61509, 51142, 51614, 50959, 52206, 51918, 50745, 50280, 51333, 51485, 60397, 51142, 51515, 51337, 52206, 52728, 50798, 51423, 50804, 61509, 72492, 50745, 50280, 51333, 51093, 52015, 51431, 51356, 50852, 51142, 51660, 51148, 52206, 50807, 51528, 61509, 70304, 50745, 50280, 59074, 51142, 52206, 51631, 50745, 50280, 63819, 51423, 50804, 61509, 51142, 52206, 51736, 50745, 50280, 59074, 51142, 52206, 51646, 50745, 50280, 51074, 51357, 51477, 51509, 58732, 61509, 51142, 51669, 50959, 52206, 51918, 50745, 50280, 51333, 51509, 60397, 51142, 51669, 51337, 52206, 52728, 50798, 51423, 50804, 61509, 72492, 50745, 50280, 51333, 51093, 51097, 51744, 55637, 51142, 51607, 51911, 50280, 50807, 51528, 61509, 70304, 50745, 50280, 51074, 51357, 50974, 51485, 53734, 51142, 51808, 51644, 50280, 51631, 50745, 50280, 51074, 51093, 50974, 51744, 54581, 61509, 51142, 51607, 51644, 50280, 51736, 50745, 50280, 51074, 51357, 50974, 51485, 53734, 51142, 51808, 51644, 50280, 51646, 66726, 51333, 51093, 51244, 51431, 72649, 61509, 51142, 51440, 51148, 53667, 53218, 50852, 65743, 66726, 51074, 52067, 61738, 61509, 51142, 53667, 51923, 66726, 73775, 51142, 53667, 50795, 50799, 50745, 50282, 52256, 51107, 51244, 51485, 66196, 61509, 51142, 51440, 51419, 51799, 51091, 51039, 51142, 52389, 51423, 50804, 61509, 66591, 50745, 50282, 59074, 51142, 51799, 51646, 50745, 50287, 52059, 51357, 51477, 51509, 58732, 61509, 51142, 51669, 50959, 51214, 60482, 50745, 50287, 51074, 51509, 60397, 51142, 51669, 51337, 51214, 50967, 57613, 51423, 50804, 65628, 50745, 50280, 51333, 51093, 52015, 51744, 51977, 50804, 50886, 52820, 50840, 51607, 51148, 52206, 50807, 52198, 50886, 52820, 50840, 51528, 61509, 51142, 52560, 54507, 50745, 50280, 59074, 51142, 52206, 51631, 50745, 50280, 63819, 51423, 50804, 61509, 51142, 52206, 51736, 50745, 50280, 59074, 51142, 52206, 51646, 50745, 50280, 51074, 51357, 51477, 52298, 58732, 61509, 51142, 51614, 50959, 52206, 51918, 50745, 50280, 51333, 51485, 60397, 51142, 51515, 51337, 52206, 52728, 50798, 51423, 50804, 61509, 72492, 50745, 50280, 51333, 51093, 52015, 51431, 69512, 51142, 51660, 51148, 52206, 50807, 51528, 61509, 70304, 50745, 50280, 51210, 50791, 51142, 52206, 53244, 50745, 50280, 63819, 51423, 50804, 61509, 51142, 52206, 51736, 50745, 50280, 59074, 51142, 52206, 51646, 50745, 50280, 51074, 51357, 51477, 51509, 58732, 61509, 51142, 51669, 50959, 52206, 51918, 50745, 50280, 51333, 51509, 60397, 51142, 51669, 51337, 52206, 52728, 50798, 51423, 50804, 61509, 72492, 50745, 50280, 52136, 51093, 51097, 51744, 55637, 51142, 51607, 51911, 50280, 50983, 51528, 61509, 70304, 50745, 50280, 51074, 51357, 50974, 51485, 53734, 51142, 51808, 51644, 50280, 51631, 50745, 50280, 51074, 51093, 50974, 51744, 54187, 51423, 50804, 61509, 51142, 51607, 51644, 50280, 51736, 50745, 50280, 51074, 51357, 50974, 51485, 53734, 51142, 51808, 51644, 50280, 51646, 66726, 51333, 51093, 51244, 51431, 72649, 61509, 51142, 51440, 51148, 53667, 50807, 51180, 65743, 66726, 51074, 52067, 72649, 51423, 50804, 61509, 51142, 53667, 51923, 66726, 59074, 51142, 53667, 50795, 50799, 50745, 50285, 51490, 51107, 51244, 51485, 65506, 61509, 51142, 51440, 51535, 51247, 50918, 51039, 51142, 52389, 51423, 50804, 61509, 51142, 51361, 64147, 50745, 50284, 51490, 51488, 51244, 51744, 66196, 61509, 51142, 51440, 51535, 51841, 50918, 51180, 51142, 57613, 51423, 50804, 61509, 51142, 51453, 51142, 50799, 50745, 50282, 52256, 51107, 51477 ]

[ 0, 250, 8787, 5175, 15229, 14, 7630, 6568, 10, 1472, 9, 23975, 1825, 8, 15073, 6, 4246, 10, 38668, 483, 6, 6755, 12547, 6, 13305, 6, 21072, 6, 8, 1855, 4822, 254, 483, 4, 20, 2125, 16, 278, 11, 274, 3694, 19, 10, 7212, 20889, 9, 11061, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 15352, 30054, 8, 3366, 219, 5466, 19, 10, 16331, 33215, 16739, 9, 274, 119, 6, 230, 10431, 6, 8, 2060, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 50799, 56742, 51748, 52696, 61164, 54685, 54373, 53355, 52829, 50799, 53512, 51922, 50450, 52117, 51333, 50799, 53190, 51671, 54205, 58728, 50799, 53015, 51748, 50438, 55794, 51447, 57755, 51447, 50450, 53512, 51466, 50799, 56742, 51447, 52696, 51748, 60100, 51671, 55537, 51748, 50438, 53512, 60779, 54205, 52378, 50799, 54205, 51490, 53015, 51671, 57755, 51671, 55794, 51671, 50438, 54097, 51490, 50799, 53015, 51748, 54205, 52829, 53355, 52204, 54685, 52204, 50799, 53190, 52335, 50799, 56742, 51748, 52696, 61164, 54685, 54373, 53355, 52829, 52365, 55105, 52365, 53868, 53257, 50862, 50799, 53512, 51922, 52365, 55105, 52365, 56037, 53257, 54883, 53257, 53860, 52365, 54385, 52117, 51333, 50799, 54205, 56515, 53190, 55844, 52365, 55105, 52365, 53868, 53257, 50862, 50799, 52365, 55105, 52365, 56037, 53257, 52928, 53015, 53957, 53512, 52011, 50429, 53257, 53860, 52365, 54123, 52696, 51466, 56742, 51330, 55794, 51447, 57755, 51447, 50450, 54133, 52011, 57390, 51330, 50799, 54097, 51703, 58428, 51703, 60100, 51671, 55537, 51748, 52365, 55105, 52365, 53868, 53257, 53894, 54133, 52263, 57390, 52263, 50799, 54133, 51490, 57390, 51447, 57755, 51671, 55794, 51671, 52365, 55105, 52365, 56037, 53257, 54883, 53257, 53860, 52365, 54123, 52696, 51738, 56742, 60779, 53015, 53697, 53512, 52056, 60928, 53176, 60928, 51051, 50799, 53015, 51922, 52696, 53201, 54205, 53201, 53355, 52204, 54685, 52204, 60928, 51008, 52365, 55105, 60928, 50955, 52365, 53868, 53257, 53901, 60928, 59780, 60928, 55467, 60928, 62063, 60928, 52843, 60928, 54900, 60928, 50959, 50799, 53190, 51748, 60928, 55095, 50596, 55105, 60928, 53701, 50596, 56037, 53257, 52928, 60928, 71707, 53257, 53860, 60928, 53701, 50596, 54123, 60928, 54478, 60928, 60333, 60928, 55162, 60928, 51123, 50799, 57117, 51449, 52557, 51449, 51773, 51314, 52361, 51080, 53190, 54557, 52479, 52212, 52276, 55597, 60928, 55869, 55636, 50942, 60928, 50851, 55169, 58798, 55636, 50854, 60928, 51123, 55169, 52749, 55636, 50901, 60928, 50912, 55169, 55306, 51929, 51878, 51607, 51965, 53283, 51400, 52117, 51748, 53112, 51748, 60928, 50912, 53165, 51400, 50444, 60928, 71940, 53283, 50942, 60928, 61450, 53165, 59631, 53283, 50854, 53165, 50810, 75235, 51244, 52027, 52263, 51607, 51314, 53283, 50901, 60928, 55084, 53165, 57437, 53787, 50901, 55348, 53172, 59059, 50901, 58225, 54777, 53787, 51790, 55348, 51675, 50438, 52557, 52168, 52435, 51703, 51773, 51878, 54427, 54171, 52479, 51449, 50799, 57117, 55116, 51515, 58940, 52361, 51749, 50426, 55636, 50854, 55169, 52749, 55636, 51177, 55169, 74387, 52027, 51447, 51607, 51080, 53283, 51400, 52117, 52988, 53292, 55392, 53112, 52720, 53165, 57554, 53283, 50854, 53165, 53920, 53283, 50854, 53165, 50833, 50799, 54632, 52062, 51774, 52062, 51929, 52335, 53283, 50901, 53165, 55689, 53787, 50901, 55348, 53172, 59059, 50901, 58225, 53387, 53787, 51183, 55348, 64345, 52479, 55174, 50456, 55594, 50977, 55907, 50866, 50799, 56194, 52062, 52435, 53142, 52027, 52335, 51773, 52335, 61279, 50901, 54427, 51748, 62513, 54644, 67753, 51692, 60239, 51486, 50799, 54632, 52335, 52027, 54171, 51929, 52335, 51773, 53142, 61279, 51003, 53112, 51314, 52648, 51447, 62513, 55973, 67753, 51003, 60239, 53912, 61279, 51003, 53292, 51447, 52117, 51447, 62513, 56508, 67753, 51003, 60239, 50914, 76759, 51243, 51515, 51671, 51929, 51243, 51773, 52062, 58417, 51003, 52479, 51671, 54427, 51748, 58425, 55973, 62191, 53651, 60151, 53259, 76759, 52335, 52027, 53142, 51929, 52335, 51607, 52062, 53292, 56599, 53112, 55490, 52648, 54171, 50432, 70683, 57008, 53894, 50816, 50890, 57040, 61190, 50816, 50813, 51899, 50904, 64119, 51365, 56875, 50982, 50799, 57117, 51449, 52557, 51449, 51773, 51314, 52361, 51080, 53190, 54557, 52479, 52212, 52479, 52431, 52276, 55597, 60928, 50912, 51165, 52916, 50420, 55636, 50854, 60928, 50851, 55169, 52710, 55636, 50854, 60928, 51123, 55169, 52749, 55636, 50901, 60928, 50912, 55169, 52446, 51929, 51878, 51607, 51965, 53283, 51255, 52117, 51748, 53112, 51748, 60928, 50912, 53165, 78373, 60928, 71940, 53283, 51255, 52117, 51314, 60928, 61450, 51093, 51703, 53165, 51124, 75235, 51244, 52027, 52263, 51607, 51314, 53283, 50901, 60928, 55084, 53165, 55099, 53787, 50977, 55348, 54278, 59059, 50901, 53190, 50932, 51488, 51333, 58225, 54777, 53787, 51790, 55348, 51790, 50438, 52557, 52168, 52435, 51703, 51773, 51878, 53015, 51314, 54427, 54171, 52479, 51449, 51395, 51490, 50799, 57117, 55116, 51515, 58940, 52361, 51749, 52479, 52528, 51165, 54573, 50420, 55636, 50854, 55169, 53049, 55636, 50854, 55169, 52749, 55636, 50901, 55169, 52446, 52027, 51447, 51607, 51080, 53283, 51400, 52117, 52988, 53292, 55392, 53112, 52720, 53165, 51377, 50450, 53283, 51400, 52117, 51108, 51093, 51466, 53165, 51377, 50799, 54632, 52062, 51774, 52062, 51929, 52335, 53283, 50901, 53190, 50932, 51488, 51330, 53165, 57437, 53787, 50901, 55348, 55035, 59059, 50901, 52117, 70491, 51333, 58225, 54777, 53787, 51183, 55348, 64345, 53190, 51097, 52479, 55174, 51488, 58959, 53015, 50932, 50773, 50317, 52829, 51395, 73786, 55594, 50901, 55907, 50873, 50799, 56194, 52062, 52435, 53142, 52027, 52335, 51773, 52335, 61279, 50901, 54133, 51080, 54427, 51748, 51600, 51490, 62513, 57437, 67753, 52069, 60239, 52069, 50438, 52696, 51080, 51201, 51447, 50799, 54632, 52335, 52027, 54171, 51929, 52335, 51773, 53142, 61279, 51003, 53112, 51314, 52648, 51447, 53015, 51445, 51395, 51671, 62513, 55973, 67753, 51003, 60239, 55965, 61279, 51003, 53292, 51447, 52117, 51447, 62513, 55082, 67753, 51003, 60239, 50943, 76759, 51243, 51515, 51671, 51929, 51243, 51773, 52062, 58417, 51003, 52117, 51447, 52479, 51671, 54427, 51748, 51093, 51703, 58425, 55973, 62191, 53454, 60151, 52903, 50438, 53190, 51080, 51488, 51447, 76759, 52335, 52027, 53142, 51929, 52335, 51607, 52062, 53292, 56599, 53112, 55490, 52648, 54171, 52479, 51449, 51165, 51922, 50432, 50816, 50962, 57008, 54431, 50816, 50880, 57040, 59787, 50816, 50855, 51899, 62564, 50816, 51210, 56875, 50908, 53596, 51397, 51515, 52431, 51773, 52431, 52361, 52140, 53787, 51692, 54427, 53142, 52479, 53142, 52276, 51748, 50798, 51362, 51206, 51363, 51769, 51363, 51383, 73601, 50813, 51394, 54573, 55348, 51422, 66817, 50374, 54502, 54316, 53257, 50855, 56957, 58016, 54317, 63702, 50867, 58354, 50829, 60261, 53831, 51661, 50832, 57527, 57050, 63702, 50904, 58354, 50863, 60261, 50837, 56096, 53031, 63702, 50886, 58354, 50825, 60261, 55234, 52273, 50870, 57336, 53018, 51096, 51477, 63702, 51079, 58354, 51079, 60261, 61176, 50886, 52129, 51173, 50832, 56124, 56518, 63702, 51862, 58354, 52059, 60261, 51642, 57730, 56124, 54105, 51515, 51534, 51773, 51645, 52361, 51645, 53787, 55742, 61175, 64491, 50379, 60084, 50933, 51304, 52025, 55348, 58229, 53283, 50854, 53165, 50854, 56584, 53555, 50945, 50974, 53787, 54748, 50904, 55348, 54678, 59059, 50854, 58225, 50854, 53870, 52015, 51944, 52335, 51773, 52062, 52361, 52062, 53787, 51692, 53714, 53142, 52479, 53142, 54427, 52062, 50798, 51362, 51383, 73601, 50813, 51905, 52727, 55348, 51422, 66817, 50374, 54502, 56133, 53257, 50820, 56957, 58016, 54317, 69851, 50867, 58354, 50864, 60261, 56061, 51661, 50832, 57527, 57050, 69851, 50837, 58354, 50864, 60261, 50373 ]

[ 0, 250, 32076, 8, 15352, 30054, 1619, 13134, 2214, 4246, 10, 11577, 12547, 9, 17691, 28430, 6, 32909, 6, 2724, 368, 31365, 25999, 6, 2342, 4467, 6, 8, 13305, 6, 70, 8216, 7, 5, 12298, 5466, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 20902, 12447, 1001, 20889, 6, 42, 765, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50796, 50456, 51431, 50883, 51784, 50883, 52394, 50883, 51752, 56046, 51723, 50840, 52186, 50840, 53628, 50840, 52315, 50840, 54734, 50940, 55129, 50823, 51898, 50836, 51140, 50940, 52355, 50836, 53880, 50836, 52155, 53351, 69764, 51090, 50832, 58093, 51431, 50840, 51784, 50840, 52394, 50840, 51752, 54507, 50871, 56943, 58363, 50972, 51509, 50887, 51802, 50887, 51978, 50887, 51606, 54898, 53791, 53467, 52067, 50880, 52515, 50880, 52172, 50880, 51686, 53939, 52206, 50910, 60458, 50823, 51431, 50858, 51461, 50910, 51784, 50858, 52394, 50858, 51752, 53393, 53616, 56338, 51509, 50887, 51802, 50887, 51978, 50887, 51606, 54937, 50871, 59023, 58000, 50901, 52067, 50880, 52515, 50880, 52172, 50880, 51686, 55531, 53187, 53307, 52629, 50890, 52857, 50890, 52380, 50890, 51673, 54957, 51247, 50858, 55129, 50950, 52067, 50930, 51140, 50858, 52515, 50930, 52172, 50930, 51686, 54451, 53291, 55489, 50871, 59389, 58000, 50845, 52067, 50962, 52515, 50962, 52172, 50962, 51686, 55714, 51475, 54755, 52206, 50952, 60458, 51045, 52067, 50921, 51461, 50952, 52515, 50921, 52172, 50921, 51686, 50921, 52613, 50954, 52485, 50871, 59389, 56472, 50849, 52067, 50809, 52515, 50809, 52172, 50809, 51686, 52634, 51475, 56249, 52629, 50880, 52857, 50880, 52380, 50880, 51673, 50880, 54734, 50858, 55129, 50803, 52067, 50952, 51140, 50858, 52515, 50952, 52172, 50952, 51686, 50952, 71735, 52628, 50871, 57669, 57253, 50795, 52067, 50890, 52515, 50890, 52172, 50890, 51686, 55960, 51475, 56731, 52629, 50880, 52857, 50880, 52380, 50880, 51673, 60743, 51247, 50862, 51140, 61521, 55129, 52968, 70861, 52067, 50952, 51493, 50800, 52515, 50952, 52172, 50952, 51686, 50952, 71735, 65469, 63513, 52119, 51799, 57722, 59023, 54666, 50879, 52629, 50880, 51273, 50800, 52857, 50880, 52380, 50880, 51673, 55531, 54054, 62725, 61053, 52674, 52629, 50828, 52857, 50828, 52380, 50828, 51673, 53219, 52206, 50940, 60458, 50823, 52629, 50887, 51461, 50940, 52857, 50887, 52380, 50887, 51673, 53579, 53288, 59846, 52336, 50840, 52624, 50840, 52436, 50840, 51827, 54400, 50916, 58263, 56472, 50845, 51579, 50809, 51950, 50809, 51979, 50809, 51565, 52634, 62944, 55888, 51744, 50887, 52285, 50887, 52491, 50887, 51789, 55268, 51214, 51033, 55216, 51045, 51431, 50878, 51098, 51033, 51784, 50878, 52394, 50878, 51752, 50878, 52055, 50996, 54663, 50916, 57094, 56472, 50901, 51431, 50833, 51784, 50833, 52394, 50833, 51752, 55579, 57005, 53793, 52298, 50874, 52824, 50874, 54727, 50874, 52202, 50874, 61628, 50940, 60458, 51045, 51723, 50844, 51461, 50940, 52186, 50844, 53628, 50844, 52315, 53948, 53291, 58486, 51431, 50844, 51784, 50844, 52394, 50844, 51752, 54351, 50916, 57094, 56472, 50845, 51744, 50813, 52285, 50813, 52491, 50813, 51789, 54494, 53288, 53467, 51579, 50836, 51950, 50836, 51979, 50836, 51565, 53425, 51214, 50948, 55216, 51138, 52336, 50858, 51098, 50948, 52624, 50858, 52436, 50858, 51827, 53393, 53696, 59974, 51579, 50840, 51950, 50840, 51979, 50840, 51565, 53810, 50916, 57864, 58681, 50892, 52336, 50821, 52624, 50821, 52436, 50821, 51827, 54301, 54413, 53307, 52629, 50884, 52857, 50884, 52380, 50884, 51673, 53418, 52206, 50977, 60458, 50860, 57317, 50800, 51461, 50977, 57489, 50800, 53625, 50800, 52433, 51730, 53696, 52510, 50916, 57864, 56472, 50845, 57317, 50930, 57489, 50930, 53625, 50930, 52433, 56409, 54413, 52555, 51214, 50800, 55216, 50803, 57317, 50940, 51098, 50800, 57489, 50940, 53625, 50940, 52433, 58732, 52668, 54166, 50916, 57864, 58681, 50892, 53954, 50930, 53993, 50930, 52833, 50930, 51886, 56409, 53288, 57661, 52629, 50855, 52857, 50855, 52380, 50855, 51673, 50855, 61628, 50795, 60458, 51012, 57317, 50910, 51461, 50795, 57489, 50910, 53625, 50910, 52433, 50910, 52615, 50954, 52628, 50916, 55143, 56472, 50901, 53954, 50887, 53993, 50887, 52833, 50887, 51886, 54898, 53288, 57851, 52629, 50836, 52857, 50836, 52380, 50836, 51673, 53425, 51214, 50936, 55216, 50860, 57317, 50821, 51098, 50936, 57489, 50821, 53625, 50821, 52433, 52589, 52668, 52209, 50916, 57348, 58681, 50845, 53954, 50840, 53993, 50840, 52833, 50840, 51886, 53228, 53288, 56486, 52629, 50862, 52857, 50862, 52380, 50862, 51673, 53894, 51247, 50940, 55129, 50823, 53954, 50857, 51140, 50940, 53993, 50857, 52833, 50857, 51886, 52923, 53288, 58040, 52629, 50809, 52857, 50809, 52380, 50809, 51673, 52510, 50871, 57669, 54666, 50805, 52067, 50800, 52515, 50800, 52172, 50800, 51686, 52390, 53288, 58181, 51509, 50880, 51802, 50880, 51978, 50880, 51606, 54411, 52206, 50924, 60458, 50860, 51431, 50917, 51461, 50924, 51784, 50917, 52394, 50917, 51752, 50917, 52723, 50996, 52485, 50871, 57669, 71068, 51431, 50887, 51784, 50887, 52394, 50887, 51752, 54898, 53288, 53793, 51723, 50910, 52186, 50910, 53628, 50910, 52315, 50910, 54734, 50940, 55129, 50823, 51898, 50890, 51140, 50940, 52355, 50890, 53880, 50890, 52155, 53690, 53696, 58093, 51431, 50890, 51784, 50890, 52394, 50890, 51752, 55180, 50871, 56876, 57253, 50805, 51509, 51010, 51802, 51010, 51978, 51010, 51606, 57591, 66886, 55081, 52067, 50858, 52515, 50858, 52172, 50858, 51686, 54149, 52206, 50938, 60458, 50860, 51431, 50836, 51461, 50938, 51784, 50836, 52394, 50836, 51752, 53351, 53288, 57850, 51509, 50890, 51802, 50890, 51978, 50890, 51606, 54334, 50871, 58800, 63837, 50795, 52067, 50887, 52515, 50887, 52172, 50887, 51686, 54898, 66886, 55310, 52629, 50858, 52857, 50858, 52380, 50858, 51673, 54362, 51247, 50830, 55129, 50823, 52067, 50803, 51140, 50830, 52515, 50803, 52172, 50803, 51686, 51520, 53288, 54840, 50871, 58800, 54666, 50805, 52067, 50821, 52515, 50821, 52172, 50821, 51686, 54301, 57897, 55268, 52206, 50938, 60458, 50860, 52067, 51033, 51461, 50938, 52515, 51033, 52172, 51033, 51686, 51033, 71735, 54166, 50871, 57069, 57253, 50849, 52067, 50890, 52515, 50890, 52172, 50890, 51686, 55960, 57897, 53793, 52629, 50821, 52857, 50821, 52380, 50821, 51673, 50821, 54734, 50948, 55129, 50860, 52067, 50940, 51140, 50948, 52515, 50940, 52172, 50940, 51686, 50940, 52615, 50954, 52628, 50871, 57069, 57253, 50805, 52067, 50890, 52515, 50890, 52172, 50890, 51686, 55960, 57897, 53423, 52629, 50887, 52857, 50887, 52380, 50887, 51673, 54818, 51247, 50952, 55129, 50823, 52067, 50948, 51140, 50952, 52515, 50948, 52172, 50948, 51686, 50948, 52615, 50954, 52844, 50871, 57254, 71068, 52629, 50890, 52857, 50890, 52380, 50890, 51673, 55960, 57897, 55782, 52629, 50818, 52857, 50818, 52380, 50818, 51673, 52565, 52206, 50830, 60458, 50823, 52629, 50800, 51461, 50830, 52857, 50800, 52380, 50800, 51673, 51730, 53288, 54790, 52336, 50887, 52624, 50887, 52436, 50887, 51827, 55489, 50916, 58263, 57253, 50901, 51579, 50855, 51950, 50855, 51979, 50855, 51565, 55459, 67811, 53401, 51744, 50890, 52285, 50890, 52491, 50890, 51789, 54755, 51214, 50940, 55216, 50823, 51431, 50925, 51098, 50940, 51784, 50925, 52394, 50925, 51752, 50925, 71735, 55433, 50916, 58263, 54666, 50849, 51431, 50809, 51784, 50809, 52394, 50809, 51752, 52634, 60933, 56249, 52298, 50844, 52824, 50844, 54727, 50844, 52202, 50844, 61628, 50897, 60458, 51045, 51723, 50840, 51461, 50897, 52186, 50840, 53628, 50840, 52315, 52411, 52668, 54745, 51431, 50874, 51784, 50874, 52394, 50874, 51752, 54448, 50916, 57094, 54666, 50901, 51744 ]

[ 0, 250, 15855, 19834, 15229, 11, 230, 3694, 6, 4246, 10, 3152, 6757, 6, 6755, 12547, 6, 21979, 9590, 6, 1076, 560, 31365, 25999, 6, 8, 24896, 4, 20, 2125, 7630, 6568, 10, 25306, 5466, 6, 19, 10, 19448, 8, 2829, 2933, 6328, 4, 11679, 154, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 24, 18, 17407, 30, 10, 33215, 13931, 9, 230, 119, 6, 274, 119, 406, 6, 163, 428, 406, 6, 8, 12608, 4, 20, 34879, 45552, 833, 7, 1045, 41, 13582, 7580, 8, 5679, 26709, 676, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 55977, 50805, 51522, 71785, 55981, 52483, 52301, 52605, 53088, 52446, 55977, 52815, 55981, 52596, 52301, 52961, 53088, 50805, 50799, 55209, 50805, 51098, 71785, 53503, 52483, 52301, 52605, 51953, 52446, 55209, 52815, 53503, 52596, 52301, 52961, 51953, 50805, 50799, 54609, 50805, 51140, 71785, 55981, 52483, 52301, 52605, 51859, 52446, 54609, 52815, 55981, 52596, 52301, 52961, 51859, 50805, 50799, 53455, 50805, 51493, 52903, 50420, 53503, 52483, 52301, 52605, 51676, 52446, 53455, 52815, 53503, 52596, 52301, 51538, 50799, 51831, 52115, 51831, 51631, 51831, 52424, 51643, 52728, 51721, 50807, 71756, 50918, 56170, 50805, 51522, 54994, 55977, 52483, 55981, 52605, 52301, 52446, 52185, 51161, 56170, 50805, 51522, 56027, 55977, 52596, 55981, 52961, 52301, 50805, 50799, 56170, 50805, 51098, 54994, 55209, 52483, 51721, 50795, 53503, 52605, 51721, 50795, 52301, 52446, 51721, 50967, 56170, 50805, 51522, 56027, 55209, 65052, 51643, 58647, 53503, 50805, 50454, 51721, 58760, 52301, 50805, 50799, 51831, 51036, 56170, 50805, 51793, 54994, 54609, 52483, 55981, 52605, 52301, 52446, 56170, 50805, 51930, 56027, 54609, 52596, 55981, 52961, 52301, 50805, 50799, 56452, 50805, 51868, 54994, 54609, 52483, 51643, 50795, 53503, 52605, 51643, 50795, 52301, 52446, 51643, 50967, 56170, 50805, 51150, 56027, 54609, 65052, 52185, 58647, 55981, 50805, 50454, 51643, 58760, 52301, 50805, 71025, 50918, 54609, 50805, 51261, 54994, 55981, 52483, 53245, 52605, 51859, 52446, 52200, 51161, 55977, 50805, 51261, 56027, 55981, 52596, 53245, 52961, 53088, 50805, 50799, 55977, 50805, 51560, 54994, 55981, 52483, 52200, 50795, 53245, 52605, 52200, 50795, 53088, 52446, 52200, 50967, 55977, 50805, 51930, 56027, 53455, 65052, 51993, 58647, 53245, 50805, 50454, 52200, 58760, 53088, 50805, 50799, 52200, 51036, 55977, 50805, 51522, 56100, 55981, 52483, 52301, 52605, 53088, 52446, 55977, 52815, 55981, 52596, 52301, 52961, 53088, 50805, 50799, 55209, 50805, 51098, 54994, 53503, 52483, 52372, 50795, 52301, 52605, 52372, 50795, 51953, 52446, 52372, 50967, 55977, 50805, 51150, 56027, 53503, 65052, 54061, 58647, 52301, 50805, 50454, 52372, 58760, 53088, 50805, 50799, 52372, 50918, 56170, 50805, 51140, 54994, 53455, 52483, 53503, 52605, 52301, 52446, 51993, 51161, 56170, 50805, 51150, 56027, 53455, 52596, 55981, 52961, 52301, 50805, 50799, 63090, 50805, 51261, 54994, 54609, 52483, 52200, 50795, 55981, 52605, 52200, 50795, 53088, 52446, 52200, 50967, 63090, 50805, 51560, 56027, 54609, 65052, 51721, 58647, 53455, 50805, 50454, 52226, 58760, 53245, 50805, 50799, 52200, 51036, 56170, 50805, 51522, 54994, 55977, 52483, 55981, 52605, 52301, 52446, 56170, 50805, 51522, 56027, 55977, 52596, 55981, 52961, 52301, 50805, 72135, 50807, 56170, 50805, 51098, 56100, 53455, 52483, 51721, 50795, 53503, 52605, 51721, 50795, 52301, 52446, 51721, 50967, 56170, 52815, 53455, 65052, 51643, 58647, 53503, 50805, 50454, 51721, 58760, 52301, 50805, 50799, 51831, 50918, 56170, 50805, 51140, 51307, 51793, 71785, 54609, 52483, 55981, 52605, 52301, 52446, 51643, 51161, 56170, 52815, 54609, 52596, 55981, 52961, 52301, 50805, 50799, 56452, 50805, 51140, 51103, 51793, 66526, 54609, 52483, 51721, 50795, 53455, 52605, 51721, 50795, 53503, 52446, 51721, 50967, 56452, 52815, 54609, 65052, 51643, 58647, 53503, 50805, 50454, 51721, 58760, 52301, 50805, 50799, 51831, 51036, 56170, 50805, 51140, 66526, 54609, 52483, 55981, 52605, 52301, 52446, 63090, 50805, 51261, 64486, 54609, 52596, 53455, 52961, 53503, 50805, 50799, 54609, 50889, 55981, 50889, 52301, 50889, 51859, 50889, 51140, 55973, 51831, 51736, 51831, 51646, 51831, 69127, 51643, 50967, 50454, 51721, 50967, 71756, 50918, 51829, 50889, 53426, 50889, 55919, 50889, 54753, 50889, 51522, 50849, 52064, 51103, 51093, 66526, 51930, 53466, 51859, 50889, 52977, 50889, 51829, 50889, 52463, 50889, 53691, 53308, 51930, 53470, 52185, 51161, 52301, 50889, 53088, 50889, 52977, 50889, 51829, 50889, 51522, 50849, 54313, 51486, 51375, 51486, 50444, 51930, 53794, 55981, 50889, 52301, 50889, 53088, 50889, 52977, 50889, 53691, 53702, 51930, 50849, 50799, 54609, 51077, 53503, 51077, 53245, 51077, 51859, 51077, 51098, 69027, 51721, 50795, 52813, 50849, 51165, 53308, 51721, 50795, 52813, 50849, 51165, 53470, 51721, 50967, 55209, 51077, 53503, 51077, 52301, 51077, 51953, 51077, 51150, 51103, 52813, 51110, 51165, 75577, 51643, 50967, 52064, 51110, 51093, 51110, 50454, 51721, 50967, 52813, 51110, 51165, 51110, 50799, 51831, 51036, 51676, 50889, 52317, 50889, 51829, 50889, 52836, 50889, 51140, 50849, 53992, 51307, 51154, 71785, 51150, 53466, 51859, 50889, 52977, 50889, 51829, 50889, 52463, 50889, 53033, 53308, 51150, 53470, 52301, 50889, 51859, 50889, 52977, 50889, 51829, 50889, 51140, 53969, 51150, 53794, 55981, 50889, 52301, 50889, 51859, 50889, 52977, 50889, 53033, 53702, 51150, 50849, 50799, 53455, 51077, 53503, 51077, 52301, 51077, 51676, 51077, 51140, 69027, 51643, 50795, 52064, 50849, 51093, 53308, 51643, 50795, 52064, 50849, 51093, 53470, 51643, 50967, 54609, 51077, 55981, 51077, 52301, 51077, 51676, 51077, 51793, 51103, 52064, 51110, 51093, 75577, 52185, 50967, 54313, 51110, 51375, 51110, 50454, 51643, 50967, 52064, 51110, 51093, 51110, 71025, 50918, 51859, 50889, 52977, 50889, 53146, 50889, 52463, 50889, 51261, 50849, 52249, 51103, 51201, 66526, 51793, 53466, 53245, 50889, 51859, 50889, 52977, 50889, 53146, 50889, 58226, 53308, 51793, 53470, 52200, 51161, 55981, 50889, 53245, 50889, 51859, 50889, 52977, 50889, 51261, 50849, 52994, 51486, 51395, 51486, 50444, 51868, 53794, 54609, 50889, 55981, 50889, 53245, 50889, 51859, 50889, 58226, 53702, 51793, 50849, 50799, 53455, 51077, 52301, 51077, 53088, 51077, 51676, 51077, 51930, 69027, 52200, 50795, 52994, 50849, 51395, 53308, 52200, 50795, 52994, 50849, 51395, 53470, 52200, 50967, 53455, 51077, 53144, 51077, 53088, 51077, 51676, 51077, 51560, 51103, 52994, 51110, 51395, 75577, 51993, 50967, 52249, 51110, 51201, 51110, 50454, 52200, 50967, 52994, 51110, 51395, 51110, 50799, 52200, 51036, 51676, 50889, 51829, 50889, 53426, 50889, 52836, 50889, 51522, 51103, 52994, 51307, 51395, 79422, 53088, 50889, 51676, 50889, 51829, 50889, 53426, 53912, 52301, 51095, 53088, 51095, 51676, 51095, 51829, 51095, 51930, 50914, 50446, 53455, 51095, 52301, 51095, 53088, 51095, 51676, 64949, 51522, 50914, 50454, 55977, 51095, 53455, 51095, 52301, 51095, 53088, 51095, 50799, 55209, 51264, 53503, 51264, 52301, 51264, 51953, 51264, 51098, 69027, 52372, 73543, 50849, 51182, 53308, 52372, 73543, 50849, 51182, 53470, 52372, 50967, 51150, 51103, 51951, 51110, 51182, 75577, 54061, 50967, 54236, 51110, 51629, 51110, 50454, 52372, 50967, 51951, 51110, 51182, 51110, 50799, 52372, 50918, 51676, 50910, 51140, 51110, 51951, 51103, 51182, 51103, 50418, 52317, 60853, 51829, 50910, 51150, 55640, 52836, 50910, 53033, 50914, 50430, 51829, 58877, 52317, 56983, 51993, 51161, 51859, 50910, 51140, 51110, 52249, 51486, 51201, 51486, 50442, 52977, 64482, 51829, 50910, 51150, 55620, 52463, 50910, 53033, 51110, 50454, 51829, 62990, 52977, 50910, 51140, 50897, 50799, 51859, 50910, 51261, 51110, 50418, 52977, 60853, 53146, 50910, 51793, 55640, 52200, 50795, 53426, 50910, 58226, 50914, 52994, 50849 ]

[ 0, 250, 765, 15855, 8, 19834, 15229, 11, 211, 3694, 6, 278, 7, 10, 7212, 204, 73, 306, 20889, 4, 590, 10, 25306, 27456, 6, 24, 7630, 6568, 10, 2933, 8, 9066, 5466, 6, 10686, 13, 814, 5422, 150, 67, 1839, 3423, 9, 26545, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50438, 50776, 50338, 51492, 50443, 53492, 70292, 52206, 58181, 51799, 66429, 52206, 50884, 53492, 50859, 50452, 52206, 61376, 51799, 63318, 52206, 53685, 53492, 50884, 53667, 60427, 53492, 50884, 52206, 56419, 51799, 50952, 51601, 52206, 72083, 51799, 69736, 51247, 55777, 51799, 50884, 52206, 61553, 55173, 51184, 55173, 51184, 54885, 51184, 65015, 51184, 50422, 51799, 50884, 51841, 68712, 51799, 54818, 52206, 57982, 51799, 59974, 52206, 50952, 50433, 51799, 59046, 52206, 50952, 50439, 51841, 66607, 51799, 50884, 52206, 67356, 51799, 71977, 52206, 68523, 51799, 67940, 51841, 65243, 51799, 50884, 52206, 66000, 51799, 66430, 51841, 50887, 58359, 57829, 52206, 61060, 51799, 64600, 51841, 73888, 51799, 79287, 51841, 50859, 50428, 51799, 50952, 50431, 55173, 51795, 55173, 51795, 54885, 51795, 65015, 51795, 50432, 51841, 61251, 51247, 59871, 51841, 55486, 51799, 50884, 52206, 63061, 53492, 55395, 52206, 50884, 51799, 59901, 51841, 71476, 51799, 50924, 50447, 51841, 66943, 51799, 60374, 52206, 53409, 51799, 59620, 51841, 65601, 51799, 50879, 50460, 52206, 60634, 51799, 50884, 60963, 76330, 51799, 50879, 50422, 51841, 79287, 51247, 65469, 51841, 65337, 51247, 68484, 51841, 66279, 51247, 75978, 71647, 51247, 77118, 51841, 66607, 51247, 62860, 51214, 70894, 51841, 50884, 51799, 65835, 51841, 53409, 51247, 50887, 50452, 51841, 50884, 51799, 56883, 52206, 70332, 51799, 67383, 52206, 56419, 53492, 65175, 52206, 50884, 58359, 51215, 50422, 52206, 57851, 51799, 63501, 51841, 50952, 50427, 51799, 70690, 52206, 59974, 51799, 63519, 51841, 54937, 51799, 62108, 52206, 59046, 55173, 51029, 55173, 51029, 54885, 51029, 65015, 51029, 50436, 51799, 50952, 50440, 52206, 65809, 51799, 50884, 51841, 70251, 51799, 50884, 52206, 71977, 51799, 60374, 51841, 66280, 51799, 50884, 52206, 50952, 50455, 51841, 66000, 51799, 50884, 52206, 66879, 51799, 50887, 51601, 51841, 50884, 51799, 50884, 52206, 76330, 55173, 51795, 55173, 51795, 54885, 51795, 65015, 51795, 50418, 51799, 50884, 51841, 63632, 51247, 61553, 51841, 50884, 51799, 55795, 52206, 68712, 51799, 61396, 51841, 50859, 50428, 51799, 56710, 52206, 77121, 51799, 50884, 51841, 55486, 51799, 63061, 52206, 55395, 51799, 50884, 51841, 73423, 51247, 66607, 51799, 70251, 51841, 58181, 51799, 64915, 52206, 55268, 51799, 50924, 50455, 52206, 53685, 51799, 61160, 51841, 63728, 51799, 56419, 52206, 62519, 53492, 50859, 51601, 52206, 50884, 51799, 72083, 51841, 58486, 51799, 73489, 52206, 68712, 55173, 51184, 55173, 51184, 51799, 50884, 54885, 51184, 65015, 51184, 50425, 51841, 50859, 50428, 51799, 56710, 52206, 66428, 51799, 53230, 51841, 56535, 51799, 63061, 52206, 55395, 51799, 59901, 51841, 71476, 51799, 62860, 52206, 70292, 51799, 50884, 51841, 54721, 51799, 50884, 52206, 50859, 50452, 51799, 56883, 51841, 54418, 51799, 50884, 52206, 63728, 51799, 50952, 61628, 59176, 51799, 50952, 50421, 52206, 50884, 53492, 57851, 52206, 63501, 51799, 66086, 52206, 65337, 51799, 68484, 52206, 50884, 53492, 59046, 52206, 50884, 51799, 63061, 51841, 55395, 51799, 50884, 52206, 71476, 51799, 55489, 52206, 63674, 51799, 55888, 51841, 66429, 51799, 50884, 52206, 50859, 50452, 51799, 56883, 51841, 70332, 51799, 53685, 52206, 63728, 51799, 56419, 51841, 50924, 51601, 51799, 72083, 52206, 61060, 51799, 54681, 52206, 55747, 51799, 50884, 51841, 53950, 51799, 57982, 52206, 50884, 53492, 56710, 52206, 50884, 51799, 53974, 52206, 56535, 51799, 50884, 51841, 65268, 51799, 53418, 52206, 61032, 51799, 50884, 51841, 55489, 51799, 50884, 52206, 58181, 51799, 50884, 51841, 66429, 51799, 53409, 52206, 67940, 51799, 56883, 51841, 61376, 51799, 55433, 52206, 60427, 51799, 66430, 52206, 50887, 58359, 59176, 52206, 64600, 51799, 63632, 51841, 69388, 51799, 57851, 52206, 63501, 51799, 61396, 51841, 65469, 51799, 70690, 52206, 64247, 53492, 62357, 52206, 50884, 51799, 53230, 51841, 67980, 51799, 59871, 52206, 65582, 51799, 50884, 51841, 71647, 51799, 73423, 52206, 66607, 51799, 70894, 52206, 50884, 54637, 55888, 52206, 64915, 51799, 55268, 51841, 59620, 51799, 50884, 52759, 65603, 51799, 67557, 54637, 60427, 53492, 50884, 54637, 56419, 52759, 62519, 51799, 60634, 52206, 51294, 69341, 53492, 59974, 52206, 66428, 51799, 53230, 52206, 55122, 53492, 71647, 52206, 57681, 51799, 54811, 52206, 67356, 51799, 71977, 52206, 68523, 51799, 65603, 52206, 50884, 53492, 63318, 53667, 66000, 53492, 60427, 52206, 51158, 50459, 55173, 51795, 55173, 51795, 54885, 51795, 65015, 51795, 52177, 51799, 67237, 52206, 51013, 50431, 51799, 53230, 51841, 61251, 51799, 51238, 50443, 52206, 70251, 51799, 61312, 52206, 51158, 50453, 53492, 54418, 52206, 50884, 51799, 63728, 51841, 62519, 51799, 50859, 51601, 51841, 72083, 51799, 69736, 52206, 50884, 51799, 53829, 51841, 69388, 51799, 79066, 52206, 50952, 50431, 51799, 53230, 52206, 56535, 51799, 54773, 52206, 59901, 53492, 73423, 52206, 57681, 51799, 72915, 52206, 70292, 51799, 66429, 52206, 50859, 50452, 51799, 56883, 51841, 61376, 51799, 63318, 52206, 67383, 51799, 66879, 52206, 50887, 51601, 51799, 50884, 51841, 61060, 51247, 67237, 51841, 50884, 52206, 73050, 51799, 50884, 51841, 67415, 51247, 50884, 51841, 53150, 51799, 57982, 52206, 65337, 51799, 62357, 51841, 75339, 51799, 63061, 52206, 59653, 53492, 50859, 50440, 52206, 50884, 51841, 65809, 51247, 65781, 51841, 63674, 51799, 50884, 52206, 50884, 53492, 65835, 52206, 53409, 51799, 50884, 51841, 65601, 51799, 63318, 52206, 54418, 55173, 51795, 55173, 51795, 54885, 51795, 65015, 51795, 50458, 51799, 50884, 51841, 65175, 51799, 50887, 61628, 50952, 50419, 51841, 69388, 51799, 60480, 52206, 55795, 53492, 67415, 52206, 53150, 51799, 57982, 51841, 70690, 51247, 56710, 51841, 63519, 51799, 62357, 52206, 68686, 51799, 55486, 51841, 50924, 50439, 52206, 59846, 51799, 62860, 51841, 70251, 51799, 58181, 52206, 50884, 53492, 66429, 52206, 59620, 51799, 50884, 51841, 65601, 51799, 63318, 52206, 50884, 53492, 50952, 50457, 55173, 51795, 55173, 51795, 54885, 51795, 65015, 51795, 50460, 51799, 50859, 51601, 52206, 50952, 50419, 51799, 50884, 51841, 73050, 51799, 50884, 52206, 67415, 51799, 65469, 51247, 70690, 51841, 56710, 51799, 50952, 50433, 51247, 59046, 51841, 50884, 51799, 65268, 51841, 59901, 51247, 59846, 51841, 65809, 51799, 54811, 51841, 71977, 51799, 50884, 52206, 60374, 54637, 53409, 52206, 50884, 51799, 59620, 51841, 65601, 51799, 55433, 52206, 50952, 50460, 53492, 50859, 51601, 52206, 50884, 51799, 72083, 51841, 63817, 55173, 51352, 55173, 51352, 51799, 50884, 52206, 50859, 54885, 51352, 65015, 51352, 50423, 51799, 63501, 51841, 54818, 51799, 75980, 52206, 59974, 51799, 66428, 51841, 67980, 51799, 59871, 52206, 65268, 51799, 53418, 51841, 77118, 51799, 57681, 52206, 65781, 51799, 53806, 51841, 58181, 51799, 50884, 52206, 66429, 51799, 50859, 50452, 52206, 56883, 53492, 70332, 52206, 50884, 51799, 61160, 51841, 60427, 51799, 56419, 52206, 50859, 58359, 59176, 52206, 54681, 51799, 55747, 52206, 68208, 51799, 50859, 50428, 52206, 50884, 54637, 63519, 52206, 62357, 51799, 67980, 52206, 59871, 54637, 66279, 51799, 66905, 54637, 59846, 53492, 50884, 54637, 65809, 51799, 67356, 52206, 50952, 50448, 51799, 68523, 52206, 67940, 53492, 59349, 52206, 61160, 51799, 50884, 51841, 60427 ]

[ 0, 250, 8787, 5175, 15229, 30291, 19, 3495, 4785, 6, 42, 2125, 1931, 21683, 41, 20425, 8, 17627, 17274, 16464, 4, 20, 3152, 6757, 1239, 5, 483, 6, 2800, 30, 10, 11739, 9, 81, 9756, 8, 21979, 29589, 6, 150, 5, 21072, 694, 10, 5204, 1451, 4, 8504, 11, 5, 762, 9, 381, 3694, 8, 6780, 10, 2635, 20889, 6, 24, 1575, 10, 16331, 33215, 16739, 9, 83, 406, 6, 272, 119, 1176, 406, 6, 8, 381, 6, 8216, 7, 63, 15352, 30054, 2868, 8, 2365, 12, 6928, 2369, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 72191, 51809, 66838, 50949, 51296, 50817, 51278, 50817, 51046, 50817, 51143, 50949, 50712, 50277, 50883, 66392, 50949, 55912, 51031, 52664, 59757, 51913, 54952, 50770, 50313, 51226, 50456, 50947, 50829, 61007, 51258, 50457, 51032, 50829, 51292, 50839, 63198, 51258, 68475, 67076, 51788, 50895, 73604, 50825, 50796, 50440, 51292, 50936, 50445, 51067, 66270, 51292, 58145, 51067, 52802, 51032, 71929, 51076, 50995, 52177, 51067, 50981, 50460, 51131, 50834, 50682, 50301, 51004, 53069, 50947, 50829, 61007, 57236, 51032, 50820, 63198, 73768, 51292, 50839, 68475, 65587, 51788, 50884, 73604, 58517, 51292, 76520, 51067, 54199, 51292, 57534, 51067, 57029, 77850, 50799, 51076, 50987, 50424, 50998, 50829, 50970, 52524, 63614, 50428, 51311, 55001, 50986, 58331, 65813, 50431, 53682, 50817, 51386, 50949, 51046, 50949, 71909, 50949, 57017, 50883, 55912, 69201, 51504, 51253, 53069, 50770, 50313, 51446, 50432, 51131, 50949, 50682, 50301, 76779, 50947, 50829, 61007, 51258, 50441, 51032, 50834, 51292, 50828, 63198, 51004, 68475, 67387, 51788, 50961, 73604, 50835, 57731, 51292, 61001, 51067, 58594, 51292, 57531, 51067, 59651, 51032, 57815, 51076, 67647, 51067, 51535, 55753, 51076, 52071, 57333, 51076, 50923, 51207, 72442, 51032, 55266, 51076, 54325, 50632, 51032, 77840, 51076, 52658, 50929, 73320, 50947, 51173, 51504, 70190, 50929, 54230, 50970, 68464, 79742, 50799, 55046, 51574, 60115, 50998, 57817, 51444, 51003, 50970, 68029, 50960, 54233, 51725, 51377, 50998, 57816, 50986, 54230, 53092, 51242, 50960, 60345, 51818, 51576, 52287, 51484, 51785, 51054, 52012, 51417, 59857, 50998, 51411, 50947, 51480, 51131, 51218, 58596, 63465, 50837, 52591, 51818, 50838, 52287, 50864, 60674, 72996, 50986, 51309, 50423, 51785, 50836, 59676, 52948, 51481, 53927, 51309, 52413, 51160, 50960, 51242, 51078, 51101, 51076, 51043, 51441, 50969, 73177, 54288, 51785, 55531, 52742, 51981, 51576, 53171, 51645, 51704, 50923, 50998, 51337, 50929, 51233, 51032, 51312, 51762, 51180, 54880, 55551, 51704, 50887, 60347, 52948, 51481, 53927, 51753, 51507, 50859, 50960, 51412, 51078, 51480, 51076, 51480, 53659, 55647, 51632, 54194, 51598, 51373, 54359, 51875, 54898, 50825, 50799, 51981, 51484, 53171, 51534, 51785, 51354, 50929, 51212, 51032, 51203, 50998, 51242, 52105, 50420, 52553, 53868, 51785, 50887, 60656, 52948, 51006, 53927, 50972, 52413, 51354, 67524, 73776, 50960, 55591, 51041, 52667, 52287, 51878, 51818, 51878, 50986, 51749, 50998, 51535, 50947, 51535, 68329, 51785, 54957, 51704, 51354, 52261, 52129, 51041, 54284, 51704, 50880, 60347, 51507, 54301, 51041, 54859, 51860, 54647, 51818, 51484, 52287, 51484, 51598, 50955, 50986, 51412, 50998, 51363, 50947, 51411, 65906, 56046, 51875, 50887, 71964, 51388, 52261, 50420, 52287, 50933, 51818, 51174, 72996, 64836, 65425, 69971, 51785, 50836, 57451, 52948, 51642, 53927, 51642, 52413, 51354, 51078, 51363, 50960, 52063, 51076, 51363, 51718, 50969, 73177, 54288, 51785, 55960, 52896, 51981, 51709, 53171, 51484, 51704, 51388, 50998, 51212, 50929, 51242, 51032, 51363, 52261, 51180, 55136, 55551, 51704, 51594, 53166, 53927, 51174, 52948, 50838, 51507, 50862, 51078, 51008, 63983, 50960, 67831, 54944, 51860, 54353, 52287, 51243, 51818, 51445, 51598, 50910, 50986, 51313, 50998, 51313, 50947, 51313, 74268, 51875, 52390, 50837, 71964, 51286, 52261, 51039, 54880, 55133, 51785, 50840, 60656, 52413, 51354, 51441, 50969, 73177, 54606, 51785, 55395, 51704, 51354, 51200, 50952, 52261, 50441, 51263, 54653, 51580, 53948, 51041, 54028, 51704, 50880, 51409, 50833, 60583, 76722, 51580, 50921, 53659, 55647, 51860, 50859, 51409, 58325, 51818, 51172, 52287, 51576, 51598, 50878, 51767, 50822, 50998, 51400, 50947, 51109, 50986, 51411, 58596, 54814, 51875, 50821, 52484, 50844, 71964, 51286, 51571, 60115, 52287, 50851, 51818, 50904, 66907, 50998, 61203, 51589, 54316, 51785, 50855, 57451, 52948, 51309, 53927, 51172, 52413, 51460, 51078, 51412, 51076, 51025, 51441, 50969, 59485, 50960, 52063, 51361, 53439, 51785, 54192, 53018, 51981, 51709, 53171, 51775, 51704, 51354, 50998, 51233, 50929, 51242, 51032, 51411, 52261, 51180, 54880, 58781, 51704, 50890, 59207, 52948, 51172, 53927, 51484, 51507, 50942, 50960, 51412, 51078, 51312, 51076, 51312, 51441, 50969, 57886, 51632, 53211, 51598, 50942, 72446, 51875, 53228, 50837, 50799, 51981, 51199, 53171, 51253, 51785, 51388, 50998, 51242, 50929, 51212, 51032, 51411, 52261, 51039, 55136, 55133, 51785, 51420, 52762, 52948, 50972, 53927, 50972, 52413, 51354, 51078, 50955, 67524, 62326, 51441, 50969, 52975, 51818, 52598, 52287, 51878, 50986, 51535, 50998, 51448, 50947, 51397, 68329, 51785, 56409, 52742, 51704, 51388, 52105, 51180, 54902, 55551, 51704, 50882, 55723, 51507, 58041, 57886, 51860, 54418, 51818, 51484, 52287, 51484, 51598, 50977, 50986, 51411, 50998, 51400, 50947, 51400, 71680, 56046, 51875, 55976, 50837, 71964, 50911, 52261, 50420, 51818, 51051, 52287, 50933, 65425, 72996, 50947, 51589, 55136, 55133, 51785, 50840, 57451, 52948, 51645, 53927, 51645, 52413, 51354, 50960, 51337, 51078, 51412, 51076, 51400, 51441, 50969, 73177, 54248, 51785, 59266, 53171, 51199, 51981, 51199, 51704, 51354, 50998, 51233, 50929, 51101, 51032, 51025, 52261, 52129, 51041, 54492, 51704, 50858, 59056, 52948, 50838, 53927, 51481, 51507, 51033, 78348, 51078, 50955, 51076, 55182, 57886, 51860, 54353, 51818, 51313, 52287, 51449, 51598, 50866, 50986, 51662, 50998, 51692, 50947, 51677, 74268, 51875, 50880, 71964, 51575, 63059, 54534, 55133, 51785, 50840, 57451, 52413, 51460, 51441, 50969, 79506, 54487, 51785, 54192, 52621, 51704, 51460, 58939, 51441, 51901, 55757, 51263, 54746, 51580, 51373, 74071, 55551, 51704, 50930, 51409, 50854, 59056, 78161, 51580, 50942, 51441, 51901, 57886, 51860, 50859, 51409, 54424, 51598, 50942, 51767, 56558, 54382, 60486, 54026, 51875, 50858, 52484, 50810, 50799, 51818, 51006, 52287, 51006, 51785, 51286, 51571, 50981, 50986, 50978, 70590, 50947, 61062, 51818, 51051, 52287, 50933, 56852, 50805, 50998, 50813, 60674, 70396, 69971, 51785, 50867, 58139, 52948, 51309, 53927, 51172, 52413, 51354, 56302, 50806, 51076, 51852, 67363, 51078, 51480, 53659, 52667, 56852, 51370, 54487, 51785, 55960, 53018, 51981, 51709, 53171, 51199, 51704, 51354, 56376, 51685, 50998, 51337, 50929, 51233, 76084, 52261, 52129, 51041, 54847, 51704, 52374, 53430, 53927, 51576, 52948, 51172, 51507, 50833, 50960, 51412, 51078, 51480, 51076, 51199, 53659, 55647, 51632, 53920, 51598, 50959, 72446, 51875, 54690, 50863, 50799, 51981, 51108, 53171, 50932, 51785, 51388, 50998, 51242, 50929, 51101, 51032, 51267, 52261, 50420, 54837, 51055, 67951, 55133, 51785, 50855, 57451, 52948, 51079, 53927, 51079, 52413, 51460, 63983, 50960, 51008, 51078, 50959, 53659, 52667, 52287, 51244, 51818, 52598, 54837, 51343, 50986, 51535, 50998, 51448, 50947, 51535, 75596, 51785, 53412, 52621, 51704, 51354, 52553, 50841, 52129, 51135, 53528, 51704, 50858, 55723, 51507, 50940, 51441, 50969, 54944, 51860, 57313, 51818, 51423, 52287, 51484, 51598, 50942, 50986, 51412, 50998, 51363, 50947, 51480, 69749, 51875, 50836, 71964, 51286, 76457, 52287, 51006, 51818, 50851, 56852, 50893, 66907, 50998, 61203, 55629, 51005, 55133, 51785, 50862, 59195, 52948, 51534, 53927, 51484, 52413, 51354, 56302, 50879, 50960 ]

[ 0, 250, 15855, 19834, 14, 7630, 6568, 10, 1472, 9, 4149, 8, 9733, 6, 4246, 10, 6755, 12547, 6, 17691, 28430, 6, 2342, 4467, 6, 449, 7087, 6, 8, 17035, 873, 2401, 4, 20, 2125, 16, 278, 11, 211, 3694, 19, 10, 7212, 20889, 9, 8017, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 1171, 230, 401, 6, 163, 43531, 1176, 406, 6, 83, 6, 211, 119, 6, 8, 230, 10431, 12361, 6, 1271, 5581, 7, 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 ]

[ 57333, 50438, 54108, 50930, 52371, 50930, 51251, 73898, 54246, 50890, 52830, 50890, 51301, 58040, 54219, 50858, 53148, 50858, 51491, 50858, 50799, 52278, 51354, 53445, 51013, 51699, 51100, 51088, 51354, 55527, 51290, 52060, 51145, 59570, 62227, 66297, 53004, 68559, 54252, 54219, 50840, 53148, 50836, 51491, 50840, 50758, 50310, 53881, 52278, 50887, 54277, 51535, 52665, 51417, 51699, 50840, 51088, 50887, 59570, 57250, 52355, 50936, 51883, 50830, 51113, 50936, 50758, 50310, 54221, 59570, 55167, 62672, 54123, 52186, 50821, 53445, 51235, 51638, 50887, 72159, 55527, 50991, 60468, 58709, 52355, 72233, 51883, 51215, 50758, 50310, 54478, 59570, 55118, 62672, 64827, 52186, 50936, 51165, 58111, 53445, 51238, 54277, 50901, 52665, 50873, 51638, 50952, 55527, 51221, 60468, 56366, 62672, 74022, 51784, 50948, 51299, 50921, 51093, 59465, 60468, 54678, 57205, 50810, 73410, 51167, 53712, 51290, 51251, 51192, 51107, 51167, 55840, 50991, 58448, 59991, 57205, 54448, 58448, 64987, 52173, 50887, 51426, 50890, 51395, 57851, 62218, 66118, 51900, 50859, 51251, 50840, 51107, 53950, 55308, 51047, 52665, 51127, 58448, 50874, 50428, 51784, 51192, 51093, 51192, 51299, 51175, 57205, 72479, 60468, 57181, 62672, 62551, 52186, 50880, 51638, 77923, 54459, 53712, 51235, 55840, 51377, 60468, 73686, 52355, 51215, 51113, 51215, 51883, 51238, 50441, 62672, 54653, 60468, 55876, 57205, 54004, 52278, 50940, 53712, 51227, 55308, 51212, 52665, 50901, 51699, 50952, 51088, 50940, 55840, 51346, 60468, 58305, 62672, 66968, 54219, 50865, 53148, 50938, 51491, 55037, 59570, 67419, 50758, 50310, 65736, 51699, 51238, 50799, 52278, 51167, 54875, 50896, 51088, 51167, 58240, 51346, 59570, 56624, 66297, 53728, 68559, 54252, 50722, 50298, 50809, 53148, 50809, 74821, 50758, 50310, 63750, 61331, 50858, 51699, 50887, 51088, 54149, 56049, 51397, 52665, 51417, 59570, 50844, 50428, 58916, 50879, 51113, 50879, 51883, 70397, 50758, 50310, 54221, 59570, 54378, 62672, 52691, 58811, 50821, 54875, 50991, 51638, 50887, 72159, 58240, 51178, 60468, 58709, 58916, 50967, 51883, 50967, 51113, 50967, 50758, 50310, 54653, 59570, 54803, 62672, 64827, 58811, 50948, 51165, 57322, 54875, 51160, 56049, 51101, 52665, 51100, 51638, 50940, 58240, 51194, 60468, 80135, 62672, 51008, 50455, 55008, 50936, 51093, 57973, 51299, 50940, 60468, 57651, 57205, 62659, 54108, 50806, 51251, 50893, 51107, 50806, 50799, 57184, 51235, 58942, 51095, 58448, 50959, 50417, 69002, 76687, 52549, 50865, 51794, 50910, 51488, 56202, 60189, 54347, 69002, 63750, 52285, 50921, 51266, 50921, 51301, 57327, 57184, 51167, 52665, 51077, 51946, 51091, 58942, 51178, 60468, 56274, 59570, 76880, 51794, 59099, 52549, 50940, 51488, 50940, 68559, 55167, 50758, 50305, 61842, 51251, 55122, 51900, 51173, 53013, 51379, 53780, 51056, 51107, 51173, 58942, 51111, 66297, 50897, 50441, 50758, 50310, 68982, 62672, 76791, 58448, 53639, 57184, 51235, 52665, 51400, 52371, 51159, 55120, 51055, 51224, 51003, 50451, 66297, 50917, 50455, 51596, 50961, 54108, 50961, 51107, 54450, 51789, 50890, 54246, 50890, 51266, 60203, 52083, 50940, 54219, 50940, 51600, 50858, 66791, 51192, 52278, 51192, 53445, 51285, 51182, 51192, 51699, 51047, 55527, 51562, 52060, 51204, 50415, 59570, 64754, 66297, 54351, 68559, 62642, 52083, 50890, 54219, 50890, 51600, 56731, 50758, 50310, 66031, 51565, 50882, 52278, 50882, 51182, 54856, 52665, 51417, 52032, 51417, 59570, 78753, 51686, 50948, 52355, 50948, 51284, 50948, 50758, 50310, 64123, 59570, 59662, 62672, 59321, 51827, 50962, 52186, 50962, 51394, 50962, 60468, 59646, 58030, 51013, 53148, 51411, 66168, 51221, 50440, 51686, 50806, 52355, 50806, 51284, 50806, 50758, 50310, 75636, 59570, 61094, 62672, 63771, 53148, 51109, 60468, 51757, 51827, 50936, 52186, 50936, 58030, 50807, 53064, 50995, 52032, 50889, 51394, 50936, 66168, 51377, 50452, 62672, 50897, 50455, 51673, 50936, 51784, 50936, 51304, 57973, 60468, 54421, 57205, 62923, 51887, 51109, 73608, 51379, 51900, 51379, 53712, 51356, 51384, 51379, 55840, 51159, 58448, 53504, 62672, 52871, 60468, 73050, 52604, 50890, 52549, 50890, 51905, 56731, 69002, 66031, 51886, 50858, 51900, 50858, 51384, 50858, 51887, 78804, 51996, 51157, 52032, 51048, 55840, 51056, 58448, 66121, 52433, 51388, 52285, 51388, 51733, 51388, 69002, 52658, 58448, 57907, 60189, 61055, 52830, 72652, 52171, 50930, 51802, 50930, 58391, 51055, 51690, 50930, 59813, 51411, 58458, 78447, 52433, 51388, 52285, 51388, 51733, 51388, 50442, 69002, 62236, 58448, 69352, 60189, 63771, 52171, 51014, 51802, 51014, 51690, 51014, 52830, 66039, 58391, 51566, 52541, 51056, 53339, 51159, 59813, 51025, 58458, 58639, 60189, 58740, 52367, 51138, 51950, 51138, 51926, 66864, 58458, 67383, 56601, 62923, 53297, 51483, 52515, 51483, 52487, 51483, 51887, 51480, 59456, 50858, 50799, 53712, 51566, 52196, 50889, 55840, 51346, 50417, 56601, 72857, 59456, 73050, 61867, 55884, 53809, 50880, 52624, 50880, 53089, 62588, 51699, 51380, 59456, 53950, 53297, 50890, 52515, 50890, 53445, 51055, 53064, 51312, 52032, 50807, 52487, 50890, 55527, 51109, 50428, 56601, 63395, 52367, 51286, 51950, 51286, 51926, 68141, 58458, 56535, 60189, 61055, 52171, 50882, 51802, 50882, 51690, 55381, 54536, 51054, 51996, 51056, 52196, 51159, 51883, 51380, 56847, 51109, 58458, 50859, 50440, 52433, 51167, 52285, 51167, 51733, 51167, 50441, 60189, 58937, 58458, 56762, 56601, 50952, 50449, 53215, 70147, 51886, 50948, 51900, 50948, 63875, 51454, 51946, 51109, 53916, 51056, 51384, 50948, 50694, 50277, 51346, 58458, 53987, 60189, 54418, 52604, 50938, 52549, 50938, 51905, 50938, 58448, 64175, 69002, 50812, 73608, 51167, 51900, 51167, 57184, 51379, 51996, 51194, 52601, 51178, 51384, 51167, 52371, 51480, 58942, 51124, 50415, 58448, 53471, 51686, 50858, 52355, 50858, 51284, 65418, 51699, 50995, 58458, 58216, 51606, 50859, 52714, 50859, 53445, 50896, 53013, 51237, 51946, 51162, 53916, 51056, 76263, 55527, 50981, 52060, 51290, 50428, 69002, 77554, 51686, 51167, 52355, 51167, 51284, 65744, 60468, 53263, 59570, 51724, 51596, 51173, 54108, 50882, 57184, 50806, 51996, 50805, 52601, 50849, 52371, 50930, 51107, 51173, 58942, 51100, 51224, 51227, 58448, 50806, 61948, 55416, 50619, 54108, 50895, 52371, 50834, 51251, 70000, 54246, 50895, 54219, 50895, 52830, 50895, 53148, 50895, 51301, 50895, 51491, 50895, 57333, 52278, 50967, 53445, 50915, 51699, 50949, 51699, 51100, 51088, 51043, 51699, 51380, 55527, 51267, 52060, 51314, 59570, 56115, 66297, 54711, 68559, 53591, 54219, 50867, 53148, 50867, 51491, 50867, 50758, 50310, 52580, 52278, 50813, 54277, 51448, 52665, 51446, 51699, 50857, 51088, 50813, 59570, 58519, 52355, 50977, 51883, 50955, 51113, 50977, 50758, 50310, 52739, 59570, 56149, 62672, 52788, 52186, 50854, 53445, 51255, 51638, 50813, 51165, 50854, 55527, 51363, 60468, 58666, 52355, 50892, 74736, 51883, 51043, 50758, 50310, 54682, 59570, 54043, 62672, 65311, 52186, 50977, 51165, 59881, 53445, 51203, 54277, 50849, 52665, 50805, 51638, 50878, 55527, 51534, 60468, 56936, 62672, 68926, 51784, 50977, 51299, 50942, 51093, 59960, 60468, 54846, 57205, 50874, 73410, 51194, 53712, 51267, 51251, 51177, 51107, 51194, 55840, 51363, 58448, 56115, 57205, 54711, 58448, 51142, 50422, 52173, 50813, 51426, 50813, 51395, 53910, 62218, 68014 ]

[ 0, 713, 765, 8, 15352, 30054, 3152, 8, 3495, 2214, 6, 278, 11, 163, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 1931, 21683, 11098, 8, 10563, 4, 20, 13305, 3315, 5, 169, 6, 7513, 30, 3459, 9590, 6, 17691, 28430, 6, 6755, 12547, 6, 8, 21072, 6, 70, 1375, 23, 41, 20425, 12447, 1001, 20889, 9, 15900, 13410, 228, 2289, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 50791, 51108, 51544, 51108, 51570, 63236, 63046, 52320, 51108, 78794, 51528, 53279, 51335, 50802, 71501, 53188, 51274, 50965, 68219, 68219, 51310, 51001, 79311, 51325, 60781, 68219, 50892, 51302, 53279, 51325, 60781, 68219, 54100, 71501, 53129, 74129, 68219, 68219, 69246, 50981, 51570, 50802, 51325, 60781, 68219, 55200, 71501, 52340, 51274, 50965, 68219, 71274, 51310, 50973, 51310, 51382, 53279, 51325, 60781, 68219, 54771, 51325, 60781, 68219, 50892, 51528, 53279, 68286, 52414, 59368, 65479, 64233, 51310, 50965, 79311, 68286, 52187, 75209, 65479, 50892, 51302, 53279, 51228, 59368, 65479, 54100, 68286, 51863, 75209, 65479, 64233, 67680, 50981, 51570, 76867, 59368, 65479, 55200, 63046, 52255, 75209, 65479, 51568, 50303, 51310, 50916, 51310, 51382, 53279, 51213, 75209, 65479, 54771, 50852, 50802, 52332, 59368, 65479, 50892, 51528, 53279, 71501, 52255, 51274, 50965, 68219, 51568, 50303, 51310, 50956, 79311, 51325, 60781, 68219, 50892, 51302, 53279, 51325, 60781, 68219, 54100, 71501, 52332, 74129, 68219, 51568, 50303, 66533, 50981, 51570, 50802, 51325, 60781, 68219, 55200, 71501, 53541, 70167, 65479, 68219, 50892, 51382, 53279, 71501, 53100, 51685, 50965, 68219, 76451, 51742, 50456, 51325, 60781, 68219, 50892, 51528, 53279, 51228, 59368, 65479, 55041, 51228, 59368, 65479, 50892, 51302, 53279, 51228, 59368, 65479, 54100, 68286, 53541, 75209, 65479, 51568, 50303, 50981, 51570, 76867, 59368, 65479, 55200, 63046, 57633, 51274, 50916, 65479, 51568, 50298, 51310, 51382, 53279, 51213, 75209, 65479, 54771, 50852, 60973, 65479, 50892, 51528, 53279, 51335, 50802, 51325, 60781, 74690, 56763, 51325, 60781, 68219, 76919, 51741, 50327, 50981, 52173, 50802, 51302, 53279, 51325, 60781, 68219, 50892, 52549, 52030, 51325, 60781, 74690, 51936, 50319, 51741, 50322, 50981, 52824, 50824, 51570, 50802, 51325, 60781, 68219, 55200, 51325, 60781, 74690, 74690, 51310, 51001, 51310, 52926, 50824, 51382, 53279, 51325, 60781, 68219, 54771, 51325, 60781, 68219, 50892, 54219, 50802, 51528, 53279, 51228, 59368, 65479, 68219, 71278, 50981, 52926, 52410, 51228, 59368, 65479, 50892, 54219, 50802, 51302, 53279, 51228, 59368, 65479, 65064, 51677, 51147, 51677, 52824, 61222, 51228, 59368, 65479, 50892, 51570, 76867, 59368, 65479, 50892, 52129, 50802, 51105, 59368, 65479, 50892, 51382, 53279, 51213, 75209, 65479, 54771, 50852, 60973, 65479, 50892, 51528, 53279, 51325, 60781, 68219, 55041, 51325, 60781, 68219, 76919, 51741, 50327, 50981, 52173, 50802, 51302, 53279, 51325, 60781, 68219, 50892, 52549, 52030, 51325, 60781, 68219, 66714, 51741, 50322, 50981, 52824, 50824, 51570, 50802, 51325, 60781, 68219, 55200, 51325, 60781, 68219, 68219, 51310, 51001, 51310, 52926, 50824, 51382, 53279, 51325, 60781, 68219, 54771, 51325, 60781, 68219, 50892, 54219, 50802, 51528, 53279, 51228, 59368, 65479, 68219, 51310, 50968, 51310, 52926, 52410, 51228, 59368, 65479, 50892, 54219, 50802, 51302, 53279, 51228, 59368, 65479, 50892, 52926, 52030, 51228, 59368, 65479, 64233, 51742, 50965, 51742, 50973, 51742, 57382, 51029, 51570, 76867, 59368, 65479, 50892, 52129, 50802, 51105, 59368, 65479, 50892, 51382, 53279, 51213, 75209, 65479, 54771, 50852, 60973, 65479, 50892, 51528, 53279, 51325, 60781, 68219, 55041, 51325, 60781, 68219, 76919, 51741, 50327, 50981, 52173, 50802, 51302, 53279, 51325, 60781, 68219, 50892, 52549, 52030, 51325, 60781, 68219, 66714, 51741, 50322, 50981, 52824, 50824, 51570, 50802, 51325, 60781, 68219, 55200, 51325, 60781, 68219, 68219, 51310, 51001, 51310, 52926, 50824, 51382, 53279, 51325, 60781, 68219, 54771, 51325, 60781, 68219, 50892, 54219, 50802, 51528, 53279, 51228, 59368, 65479, 68219, 71278, 50981, 52926, 52410, 51228, 59368, 65479, 50892, 54219, 50802, 51302, 53279, 51228, 59368, 65479, 65064, 51677, 51147, 51677, 52926, 52030, 51228, 59368, 65479, 50892, 52824, 51029, 51570, 76867, 59368, 65479, 50892, 52129, 50802, 51105, 59368, 65479, 50892, 51382, 53279, 51213, 75209, 65479, 54771, 50852, 60973, 65479, 50892, 51528, 53279, 51325, 60781, 68219, 55041, 51325, 60781, 68219, 76919, 51741, 50327, 50981, 52173, 50802, 51302, 53279, 51325, 60781, 68219, 50892, 52549, 52030, 51325, 60781, 68219, 66714, 51741, 50322, 50981, 52824, 50824, 51570, 50802, 51325, 60781, 68219, 55200, 51325, 60781, 68219, 68219, 51310, 51001, 51310, 52926, 51029, 51382, 53279, 51325, 60781, 68219, 54771, 51325, 60781, 68219, 50892, 51528, 53279, 51228, 59368, 65479, 68219, 51310, 50968, 51310, 52926, 52410, 51228, 59368, 65479, 50892, 54219, 50802, 51302, 53279, 51228, 59368, 65479, 50892, 52926, 52030, 51228, 59368, 65479, 64233, 51742, 50965, 51742, 50973, 51742, 57382, 51029, 51570, 76867, 59368, 65479, 55200, 50852, 50802, 51105, 59368, 65479, 54058, 50798, 58163, 50802, 51213, 59368, 65479, 50892, 53061, 52163, 50804, 50803, 58918, 50916, 65479, 50892, 52198, 50803, 51528, 53279, 51321, 56972, 50802, 51133, 51274, 52626, 51310, 50876, 58007, 65064, 55041, 50876, 65064, 65064, 50892, 52278, 50802, 51302, 53279, 50876, 58007, 65064, 50892, 52278, 52030, 51321, 65285, 50896, 52036, 51742, 50877, 58007, 59389, 50981, 52278, 50802, 51570, 57650, 58007, 50892, 52278, 50824, 52129, 65285, 57442, 59389, 58007, 50892, 51382, 53279, 51019, 57442, 58007, 58007, 50892, 52714, 52325, 51321, 60589, 57442, 59389, 58007, 50892, 54246, 50802, 51528, 53279, 50964, 51274, 52626, 51310, 50861, 58007, 65064, 50892, 52714, 52410, 50876, 58007, 65064, 50892, 54246, 50824, 51302, 53279, 50861, 58007, 65064, 54100, 51321, 65285, 50896, 52036, 51742, 50877, 58007, 60540, 50981, 54108, 50802, 51570, 57650, 58007, 50892, 55008, 50824, 52129, 62397, 57926, 59389, 58007, 50892, 51382, 53279, 51321, 65285, 57442, 58007, 59389, 50981, 56672, 50802, 51213, 57442, 58007, 50892, 51528, 53279, 51335, 60011, 51274, 52137, 51293, 52735, 51293, 50861, 58399, 61366, 55041, 50861, 61366, 61366, 50892, 52714, 50802, 51302, 53279, 50861, 58399, 61366, 50892, 52714, 52030, 51321, 77533, 62667, 61366, 61366, 50892, 54246, 50802, 51570, 56893, 61366, 50892, 52714, 50802, 52129, 50802, 51133, 56294, 61366, 61366, 50892, 54246, 73116, 53279, 51186, 56294, 58399, 61366, 50892, 52714, 52325, 50953, 56294, 61366, 61366, 50892, 54246, 50802, 51528, 53279, 50945, 51274, 52430, 51293, 52626, 51293, 50877, 59389, 58007, 50892, 52714, 54226, 50877, 58007, 58007, 50892, 51302, 53279, 50877, 59389, 58007, 50892, 54246, 52030, 51321, 65285, 75209, 59389, 58007, 50892, 54108, 50802, 51570, 57650, 59389, 58007, 50892, 55008, 50824, 52129, 50802, 51011, 57442, 58007, 58007, 50892, 51382, 53279, 51321, 50802, 51186, 57442, 59389, 58007, 54771, 50852, 50802, 51415, 59368, 59389, 58007, 50892, 51528, 53279, 51335, 50802, 51133, 51274, 52626, 51310, 50876, 58007, 65064, 55041, 50876, 65064, 65064, 50892, 52278, 50802, 51302, 53279, 50876, 58007, 65064, 50892, 52278, 52030, 51321, 65285, 50896, 52036, 51742, 50877, 58007, 59389, 50981, 52278, 50802, 51570, 57650, 58007, 50892, 52278, 50824, 52129, 65285, 57442, 59389, 58007, 50892, 51382, 53279, 51019, 57442, 58007, 58007, 50892, 52714, 52325, 51321, 60589, 57442, 59389, 58007, 50892, 54246, 50802, 51528, 53279, 50964, 51274, 52626, 51310, 50861, 58007, 65064, 50892, 52714, 52410, 50876, 58007, 65064 ]

[ 0, 250, 15352, 30054, 8, 14899, 3152, 8, 5175, 24904, 1349, 4246, 10, 3152, 6757, 6, 3459, 9590, 6, 21072, 6, 8, 38668, 12638, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 748, 1879, 15525, 20889, 6, 5, 2214, 3905, 10, 33215, 16739, 9, 3676, 406, 6, 83, 6, 3676, 6, 272, 6, 8, 83, 4, 20, 32076, 8859, 7630, 6568, 10, 11602, 9, 1619, 4780, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 63515, 50799, 52105, 51544, 50839, 51570, 50839, 57048, 69770, 52193, 64375, 50840, 51528, 52885, 67444, 50839, 51302, 55232, 51320, 52950, 53422, 51180, 50839, 51382, 55843, 51320, 50839, 53028, 52302, 51320, 50839, 51302, 55232, 51320, 52950, 59530, 67110, 59848, 50953, 51345, 69890, 51453, 50839, 53534, 56300, 50798, 52885, 67444, 50839, 51302, 55232, 51320, 52950, 53422, 51180, 50839, 51382, 55843, 51320, 50839, 53028, 52302, 51320, 50839, 51302, 55232, 51320, 52950, 53422, 50443, 64375, 56843, 67110, 52105, 50449, 64375, 54411, 65082, 53431, 55843, 63676, 52105, 53534, 56300, 50798, 52885, 67444, 50839, 51302, 55232, 51320, 52950, 53422, 51180, 50839, 51382, 55843, 51320, 50839, 53028, 52302, 51320, 50839, 51302, 55232, 51320, 52950, 59530, 63676, 59848, 65082, 53431, 55843, 67110, 52105, 53534, 51933, 53422, 50418, 64375, 50880, 77127, 51302, 55232, 51320, 52950, 53422, 51180, 50839, 51382, 55843, 52018, 50887, 52657, 51013, 51320, 50839, 53028, 52302, 52018, 50879, 51320, 52992, 51817, 53543, 55232, 52657, 50879, 51320, 50839, 52594, 50817, 51450, 62698, 50439, 52018, 60835, 51320, 57740, 51019, 58138, 69890, 50451, 50953, 58603, 67110, 57456, 58544, 50769, 50298, 50821, 53534, 61025, 52885, 52981, 50769, 50300, 51421, 50839, 68467, 50427, 50769, 50298, 58607, 51011, 53974, 51320, 56802, 50769, 50300, 53813, 68584, 53422, 50439, 50769, 50298, 54811, 51914, 50911, 67110, 52105, 50449, 50953, 58138, 51953, 51030, 50769, 50300, 54092, 51636, 50455, 51011, 51345, 50456, 51676, 52282, 51617, 52282, 51829, 52282, 52328, 52282, 51320, 50839, 53028, 52302, 51320, 61266, 51011, 51215, 51302, 55232, 51320, 56802, 51011, 54773, 53422, 50439, 51011, 60021, 67110, 59848, 51271, 50879, 53431, 55843, 51133, 50924, 52105, 50457, 50769, 50300, 50882, 53534, 51013, 58538, 50769, 50298, 50840, 52105, 68467, 50427, 50769, 50300, 53974, 51011, 69446, 56802, 50769, 50298, 52444, 68688, 50769, 50300, 53238, 59252, 51914, 50911, 63676, 59848, 51953, 51030, 65082, 50769, 50298, 52997, 55843, 51829, 52282, 52328, 52282, 51676, 52282, 51617, 52282, 51011, 51345, 51320, 50839, 53028, 52302, 51320, 61266, 51011, 51215, 51302, 55232, 51011, 51073, 51320, 52950, 59530, 63676, 59848, 51271, 51158, 69890, 50451, 50769, 50300, 54403, 51133, 50924, 52105, 50457, 50769, 50298, 50821, 53534, 51013, 58538, 50769, 50300, 50859, 61236, 50769, 50298, 54047, 55232, 51011, 50859, 50769, 50300, 69446, 52950, 68688, 50769, 50298, 53238, 59252, 51914, 50911, 63676, 59848, 51953, 51030, 61635, 50769, 50300, 54092, 55843, 51829, 51551, 52328, 51551, 51676, 51551, 51617, 51551, 51011, 51345, 51320, 50839, 53028, 52302, 51011, 51215, 51320, 50839, 51302, 55232, 51011, 51345, 51320, 52950, 53422, 50443, 51019, 55885, 50769, 50298, 50840, 59848, 51271, 51158, 50769, 50300, 51747, 51463, 55843, 51133, 50924, 50769, 50298, 51420, 54625, 50769, 50300, 50812, 78941, 50415, 51011, 51013, 77127, 51302, 55232, 51011, 50859, 50769, 50298, 69446, 52950, 68688, 59530, 67110, 50769, 50300, 51508, 57740, 51914, 50911, 50449, 61635, 71060, 50451, 51953, 63109, 51617, 53241, 51829, 53241, 52328, 53241, 51676, 53241, 51011, 51345, 50769, 50298, 53662, 70989, 53028, 52302, 51011, 51238, 51320, 50839, 68467, 50427, 50769, 50300, 52559, 51011, 51013, 51320, 50839, 52594, 50817, 51450, 51463, 59252, 63676, 51320, 60954, 57969, 76973, 57523, 55510, 61635, 69890, 50451, 56452, 50930, 50452, 56170, 75903, 55017, 75336, 55209, 55577, 54609, 72256, 51158, 57456, 58472, 53455, 58561, 52949, 77929, 53455, 67327, 53503, 50961, 52301, 52195, 51953, 51551, 51676, 51551, 50799, 51859, 50961, 50964, 51294, 63680, 67444, 52992, 60793, 54092, 55232, 64666, 70658, 52421, 52195, 51617, 52195, 64375, 52589, 51636, 50439, 51914, 52195, 50927, 62682, 60793, 78060, 53068, 64375, 53988, 55843, 65340, 60793, 50887, 52105, 50799, 51617, 53241, 51953, 53241, 51829, 53241, 51011, 51294, 64375, 52589, 51636, 51039, 52992, 60793, 55060, 55232, 51011, 51013, 64375, 50930, 70658, 59530, 63676, 60793, 54451, 70989, 71060, 50451, 61635, 50455, 55209, 55577, 54609, 72256, 51158, 52105, 50458, 53455, 77929, 52949, 50930, 50799, 52301, 52195, 51953, 52195, 51676, 52195, 50964, 51013, 63680, 67444, 61266, 64375, 50821, 51302, 55232, 64666, 52105, 50433, 60793, 55395, 51914, 52195, 52421, 52195, 51617, 52195, 53422, 50439, 52317, 50961, 50927, 51013, 64375, 55920, 51320, 50839, 71060, 50451, 60793, 55577, 65340, 64375, 51421, 50839, 50799, 51953, 53241, 51617, 53241, 51829, 53241, 60793, 52589, 51636, 50415, 51011, 51294, 50420, 64375, 51864, 50839, 51302, 55232, 51011, 51073, 60793, 50962, 70658, 59530, 63676, 51320, 53068, 50953, 54593, 51636, 50454, 55017, 75336, 55209, 55577, 68584, 52105, 50457, 54609, 69312, 53455, 72023, 52949, 50961, 50799, 52301, 52195, 51953, 52195, 51676, 52195, 50964, 51294, 63680, 67444, 52992, 64375, 54332, 55232, 64666, 70658, 51914, 52195, 52421, 52195, 51617, 52195, 60793, 52589, 51636, 50439, 50927, 62682, 64375, 53579, 50898, 53068, 60793, 54332, 55843, 65340, 64375, 51594, 50839, 78941, 50415, 51953, 53241, 51617, 53241, 51829, 53241, 51011, 51294, 51039, 52992, 60793, 54332, 55232, 64375, 51508, 56802, 51011, 69052, 59530, 63676, 60793, 54451, 70989, 71060, 50451, 61635, 50455, 55017, 55577, 55209, 72256, 51158, 52105, 50458, 54609, 50882, 50460, 53455, 50930, 79255, 52195, 52301, 52195, 51953, 52195, 50964, 51013, 63680, 67444, 52992, 64375, 54332, 55232, 64666, 52105, 50433, 60793, 56341, 52421, 52195, 51914, 52195, 51617, 52195, 53422, 50439, 50927, 62682, 64375, 53662, 50898, 53068, 60793, 54092, 55843, 65340, 64375, 50930, 52105, 53534, 51896, 53422, 50415, 51953, 52017, 51617, 52017, 51829, 52017, 77127, 68467, 51361, 52950, 59530, 67110, 51320, 53068, 50953, 53543, 55843, 63676, 64375, 51864, 50839, 59696, 52885, 55614, 51011, 51294, 50420, 60793, 50840, 61236, 64375, 52467, 55232, 51011, 50859, 60793, 50887, 52105, 57876, 50924, 64375, 53579, 51636, 50443, 51019, 73374, 51320, 58560, 50953, 55149, 60793, 54092, 51636, 50455, 51676, 51551, 51829, 51551, 52328, 51551, 50456, 51617, 51551, 51011, 51238, 52105, 50799, 58538, 51011, 51215, 52105, 51302, 55232, 51011, 50859, 52105, 57876, 50924, 59530, 67110, 51320, 53068, 51271, 54593, 51636, 50451, 64375, 55433, 51133, 50924, 52105, 50457, 60793, 50880, 53534, 51013, 58538, 64375, 50887, 61236, 60793, 53988, 55232, 51011, 50859, 64375, 51421, 52950, 68688, 60793, 53662, 59252, 51914, 50911, 63676, 51320, 53068, 51953, 51030, 50953, 54593, 51636, 50451, 64375, 67970, 52328, 52282, 50456, 51676, 52282, 51617, 52282, 51829, 52282, 51011, 51238, 52105, 50799, 58538, 51011, 51215, 52105, 51302, 55232, 51011, 50952, 70658, 53422, 50439, 51011, 60021, 63676, 51320, 53068, 51271, 53543, 55843, 51133, 50879, 52105, 50457, 60793, 50887, 53534, 51013, 53422, 51039, 61266, 64375, 50836, 68467, 50427, 60793, 54937, 51011, 50952, 64375, 51421, 52950, 68584, 60793, 54451, 59252, 51914, 50911, 51019, 51158, 51320, 53068, 51953, 50911, 50953, 53543, 55843, 51829, 52282, 52328, 52282, 51011, 51238, 52105, 50457, 51676, 51551, 51617, 51551, 50799, 58538, 51011, 51238, 52105, 51302, 55232, 51011, 50859, 52105, 57876, 50924, 59530, 67110, 64375, 78060, 53068 ]

[ 0, 250, 19448, 5175, 8, 3495, 2214, 19, 10, 15352, 30054, 8, 5679, 26709, 5466, 6, 4246, 38668, 18569, 6, 38668, 22052, 6, 13305, 6, 21072, 6, 8, 21979, 8669, 4, 20, 2125, 11498, 10, 7212, 20889, 9, 13259, 163, 5683, 11, 204, 73, 306, 86, 6543, 6, 278, 11, 5, 762, 9, 272, 538, 6, 19, 10, 33215, 16739, 9, 1918, 406, 6, 163, 119, 406, 6, 272, 6, 8, 211, 4, 20, 2214, 7630, 6568, 10, 1472, 9, 657, 8, 34, 10, 12405, 1619, 16464, 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 ]

[ 56103, 50799, 51956, 51544, 50835, 51570, 52772, 51956, 53447, 51264, 69162, 50947, 51079, 51032, 51079, 52693, 51671, 52684, 51671, 53465, 52727, 63998, 50368, 51367, 52944, 51027, 50915, 52008, 53523, 50914, 52008, 58783, 63334, 52904, 59425, 53515, 53594, 51027, 67290, 53003, 50900, 50914, 50920, 53553, 50871, 50807, 52008, 50461, 69695, 51076, 51079, 54281, 51538, 51067, 51079, 52507, 51671, 54008, 52727, 53679, 52727, 63998, 54213, 51086, 50915, 52008, 53337, 55859, 53515, 53575, 50973, 51958, 50299, 54490, 55712, 52904, 50902, 57623, 51139, 53515, 53594, 50968, 50896, 50920, 53003, 50902, 63334, 53553, 51374, 56411, 51833, 53515, 57015, 50947, 51079, 51032, 51079, 53465, 52727, 52894, 51264, 51292, 51079, 52684, 51671, 55314, 52727, 63998, 54213, 51027, 50915, 52008, 53523, 50914, 52008, 59409, 70094, 52904, 59425, 53515, 53594, 50900, 67290, 53003, 50871, 63334, 50870, 51453, 59119, 69695, 51076, 51079, 54008, 52727, 53053, 51264, 51067, 51079, 52507, 51671, 53679, 52727, 63998, 54213, 50899, 50915, 52008, 54439, 50914, 54958, 52897, 53127, 53575, 51026, 56831, 71779, 55712, 52904, 50877, 55113, 51139, 65161, 53127, 53594, 50973, 66455, 53127, 53003, 50861, 50914, 72632, 53462, 51833, 74003, 51987, 55397, 51326, 50820, 54468, 51264, 50876, 58339, 68504, 57269, 51079, 51032, 51079, 51292, 51079, 52507, 52727, 53465, 54373, 55314, 52727, 63998, 50368, 51367, 61044, 52976, 50916, 50915, 52155, 50923, 52008, 58319, 50915, 52155, 71361, 52904, 50876, 50915, 52155, 55020, 51139, 53515, 53594, 52182, 71361, 53003, 54120, 71361, 53553, 52182, 50923, 52008, 50461, 69162, 50947, 51079, 52894, 51264, 50871, 59258, 57543, 50915, 54120, 50893, 51032, 51079, 53278, 51671, 52684, 54373, 63998, 50908, 53502, 50915, 52008, 53645, 56901, 53515, 53575, 50877, 50807, 68645, 50893, 50947, 56362, 55712, 52904, 54809, 55020, 51139, 53515, 53594, 57624, 71361, 53003, 54120, 71361, 53553, 54809, 57393, 51833, 53515, 57015, 68104, 69162, 53447, 51264, 50947, 51079, 53460, 51671, 52693, 52727, 63998, 54213, 51027, 50915, 54120, 50893, 52008, 53337, 50914, 52008, 58783, 57269, 73180, 52904, 59425, 53515, 53594, 50877, 50914, 50920, 53003, 50871, 67290, 53553, 68645, 50893, 52008, 50461, 69947, 69695, 53053, 51264, 54809, 50923, 51076, 51079, 52583, 52727, 52507, 52727, 54008, 52727, 63998, 58698, 54183, 50899, 50915, 54809, 53734, 65161, 53098, 50861, 50914, 54120, 52964, 65161, 53762, 53575, 50973, 50807, 54809, 52152, 50365, 52388, 53762, 52904, 50902, 50896, 54809, 55020, 51139, 53515, 53594, 50973, 50807, 54120, 50923, 51224, 53762, 53003, 50861, 50914, 50920, 53553, 50973, 54035, 51833, 76298, 55712, 50870, 54468, 52024, 50968, 55890, 59258, 50845, 50947, 51079, 51032, 51079, 51292, 51079, 52507, 54373, 53465, 54373, 55314, 54373, 63998, 54213, 50916, 50915, 52008, 54439, 50915, 52008, 59409, 67290, 52904, 51752, 55020, 51139, 53515, 53594, 52202, 50893, 74887, 50920, 53003, 52155, 50893, 78673, 50920, 53553, 52155, 50923, 51032, 51079, 52008, 50799, 52182, 52221, 51833, 54213, 50916, 50915, 52008, 54439, 50915, 54120, 53734, 53515, 53575, 50876, 50915, 54120, 71779, 55712, 52904, 59425, 53515, 53594, 57624, 50893, 74887, 50920, 53003, 54120, 50893, 78673, 50920, 53553, 54809, 51054, 51032, 51079, 63998, 53515, 50870, 52894, 51264, 69162, 50947, 51079, 53278, 51671, 52684, 57598, 63998, 54213, 50871, 50915, 68645, 51370, 52976, 50877, 50914, 52008, 59409, 57269, 73180, 52904, 59425, 53515, 53594, 50877, 50914, 50920, 53003, 50920, 53553, 50871, 50915, 52008, 50461, 69947, 69162, 53447, 51077, 50947, 51079, 53460, 51447, 52693, 52212, 63998, 54213, 50899, 50915, 54809, 50893, 52008, 56207, 50914, 54120, 52964, 53515, 53575, 54809, 56285, 55712, 57892, 69947, 69695, 57842, 51077, 54809, 50923, 51076, 51079, 52583, 52212, 52507, 52212, 54008, 52212, 59425, 53515, 53594, 50861, 50807, 54120, 71361, 53003, 50973, 50914, 50920, 53553, 50902, 54035, 51833, 53515, 50870, 54468, 51264, 50968, 55890, 59258, 50915, 50947, 51079, 51032, 51079, 51292, 51079, 52507, 52727, 53465, 54373, 55314, 52727, 63998, 62861, 52976, 50916, 50915, 52155, 50923, 52008, 58319, 50915, 52155, 71361, 52904, 50876, 50915, 52155, 55020, 51139, 53515, 53594, 52182, 71361, 53003, 54120, 71361, 53553, 52182, 50923, 52008, 50461, 69162, 50947, 51079, 52894, 51264, 50876, 57055, 58421, 50845, 54120, 50893, 51032, 51079, 53278, 51671, 52684, 54373, 63998, 50908, 53502, 50915, 52008, 53645, 56901, 53515, 53575, 50877, 57269, 56362, 55712, 52904, 59425, 53515, 53594, 57624, 56969, 53003, 54120, 71361, 53553, 54809, 57393, 51833, 53515, 57015, 68104, 69162, 53447, 51264, 50947, 51079, 53460, 51671, 52693, 52727, 63998, 54213, 51027, 50915, 54120, 51370, 52976, 50899, 50914, 52008, 58783, 57269, 73180, 52904, 59425, 53515, 53594, 50877, 50914, 57624, 71361, 53003, 50871, 50915, 54809, 68576, 53553, 57624, 50893, 52008, 50461, 69947, 69695, 53053, 51264, 54809, 51054, 51076, 51079, 52583, 52727, 52507, 52727, 54008, 52727, 63998, 58698, 54183, 50899, 50915, 54958, 52418, 53098, 50861, 50914, 54120, 52964, 65161, 53762, 53575, 50973, 50807, 54809, 52152, 50365, 52388, 53762, 52904, 50902, 50896, 54809, 51460, 59425, 53515, 53594, 50973, 74019, 53762, 54914, 65938, 51016, 56222, 50914, 50920, 53553, 50973, 54035, 51833, 76298, 55712, 50870, 54468, 54834, 50861, 68504, 55695, 50845, 50947, 51079, 51032, 51079, 51292, 51079, 52507, 63712, 53465, 54373, 55314, 63712, 63998, 54213, 50916, 50915, 52008, 54439, 50915, 52008, 59409, 67290, 52904, 52161, 54581, 51139, 53515, 53594, 51596, 50795, 74887, 50920, 53003, 51752, 50893, 78673, 50920, 53553, 52155, 50795, 51032, 51079, 52008, 72849, 54187, 51833, 54213, 50916, 50915, 52155, 51370, 52976, 50861, 50915, 52155, 53734, 53515, 53575, 50876, 50915, 52182, 56895, 55712, 52904, 52155, 59165, 51139, 53515, 53594, 50920, 53003, 51132, 53363, 50877, 59258, 58134, 50807, 68104, 69162, 50947, 51079, 53278, 55844, 52684, 63712, 51335, 53107, 50870, 53462, 51833, 53515, 50870, 51528, 51833, 54213, 50871, 50915, 52008, 56207, 50914, 52008, 59409, 57269, 73180, 52904, 59425, 53515, 53594, 50877, 50914, 50920, 53003, 50920, 53553, 50871, 50915, 57624, 50893, 52008, 50461, 69947, 69162, 53447, 51077, 54809, 51054, 50947, 51079, 53460, 51447, 52693, 52212, 63998, 54213, 50899, 50915, 54958, 52897, 53109, 52060, 52928, 50877, 50914, 54120, 51054, 54958, 52418, 52823, 53575, 50852, 50365, 52388, 52823, 57892, 69947, 69695, 57842, 51077, 52182, 51460, 51076, 51079, 52583, 52212, 52507, 52212, 54008, 52212, 59425, 53515, 53594, 50861, 74019, 52523, 54914, 52155, 51573, 51326, 53057, 50973, 50914, 50920, 53555, 50902, 55530, 51833, 76298, 53107, 55397, 51289, 56834, 68104, 69162, 53447, 51264, 50947, 51079, 53460, 51671, 52693, 51671, 51821, 51748, 51701, 51748, 53051, 52988, 63998, 50368, 51367, 52944, 51027, 50915, 52008, 53523, 50915, 52008, 58783, 50914, 50920, 52904, 50877, 52496, 51139, 53515, 53594, 68645, 56969, 53003, 54120, 58515, 53553, 54809, 51054, 52008, 54281, 51538, 56470, 51671, 52583, 51671, 52507, 51671, 51678, 51748, 52252, 51748, 54415, 52988, 63998, 54213, 51086, 50915, 54120, 51370, 52976, 50899, 56901, 53515, 53575, 50861, 50914, 50852, 55712 ]

[ 0, 250, 765, 3495, 2214, 11509, 657, 149, 63, 15352, 30054, 8, 19448, 15229, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 6, 24, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 3722, 2125, 1575, 10, 33215, 16739, 9, 1918, 6, 272, 6, 8, 274, 6, 2351, 10, 1372, 8, 32625, 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 ]

[ 54458, 50423, 51050, 52731, 50428, 50900, 51376, 50434, 50871, 51524, 50440, 50900, 52192, 50445, 72251, 50451, 50900, 51365, 50456, 50871, 51376, 50461, 50900, 51210, 53069, 51050, 52192, 50425, 50900, 51470, 50430, 70795, 50436, 50900, 55778, 50441, 72529, 78631, 52179, 50452, 50871, 51432, 50458, 50900, 51824, 53069, 51050, 53577, 50443, 62440, 50454, 50876, 51108, 50455, 51050, 53866, 50460, 50900, 51824, 52478, 50906, 64307, 51470, 78523, 74448, 50876, 60138, 51376, 69374, 51254, 50439, 50931, 51253, 69119, 55513, 65743, 51315, 51210, 50876, 52222, 72407, 51470, 50461, 77559, 53069, 50900, 52147, 78630, 53280, 50441, 50906, 71715, 50877, 67763, 69459, 51120, 52441, 50459, 51027, 51432, 51809, 50871, 70276, 51079, 50422, 51027, 68713, 50861, 51097, 50428, 51085, 53096, 50433, 51026, 51166, 50439, 77556, 50876, 52431, 50445, 51026, 54573, 50452, 50916, 62609, 56020, 50861, 51333, 50434, 50871, 51166, 50440, 50916, 59843, 51234, 52256, 50916, 51380, 50451, 51050, 69096, 50899, 51312, 50997, 51006, 50461, 51050, 51254, 52478, 50900, 51109, 50419, 51279, 51961, 50424, 51050, 72373, 50871, 50915, 50430, 51027, 64945, 51050, 51058, 50440, 51324, 51277, 50441, 50861, 50943, 50446, 51120, 51058, 50451, 50899, 51267, 51026, 61703, 51120, 50829, 54852, 51159, 51360, 51423, 50419, 51315, 51174, 50424, 50916, 51800, 50301, 50972, 50430, 51315, 59051, 50861, 52019, 50294, 52256, 50441, 51027, 52731, 72785, 63030, 51123, 50452, 51027, 61034, 50916, 51447, 51085, 54344, 51809, 51026, 54848, 63686, 73632, 50899, 51627, 50434, 51234, 51697, 50440, 51050, 54146, 50445, 50997, 55814, 51050, 56458, 50457, 50899, 54228, 66243, 50931, 52056, 50442, 51062, 51380, 50871, 52916, 50448, 50876, 52731, 50453, 51081, 51253, 50931, 51824, 50458, 50876, 51470, 51601, 51062, 51411, 50416, 50931, 51254, 50421, 50876, 51824, 50425, 51339, 51253, 50426, 50931, 51174, 50431, 64041, 50436, 51062, 52151, 65471, 50441, 50876, 51387, 50447, 50968, 51210, 50454, 50876, 56563, 50461, 50951, 51466, 59412, 51081, 50892, 50431, 50999, 50905, 50436, 50951, 51312, 50437, 50899, 52598, 50442, 50877, 64180, 50902, 66257, 51391, 50453, 65997, 50460, 50951, 63085, 51852, 52177, 50861, 51376, 50423, 51062, 52015, 50876, 51174, 50429, 50861, 53486, 50437, 50968, 52136, 50448, 50951, 53674, 51601, 50931, 61784, 50968, 58964, 50997, 52256, 50426, 50968, 51380, 50431, 50871, 51824, 50436, 50902, 51253, 50906, 51174, 50442, 50871, 64180, 50876, 51253, 51027, 51679, 50452, 50871, 50972, 50458, 50931, 58421, 51058, 51601, 50871, 50978, 50421, 51086, 74826, 51109, 53337, 51006, 50431, 50902, 51109, 50861, 50978, 50436, 50899, 59721, 50999, 51312, 51040, 50995, 50447, 50916, 51174, 50452, 50968, 58421, 78450, 50916, 50863, 51601, 50951, 70276, 52256, 57340, 51470, 50425, 50931, 70062, 51174, 50431, 50877, 60591, 50968, 51680, 50900, 51481, 50442, 50861, 51432, 50448, 50876, 51524, 50461, 50902, 52441, 55435, 52063, 55961, 54298, 56546, 51524, 58783, 53280, 50440, 50902, 52048, 50460, 50931, 53697, 56020, 51062, 51481, 50871, 53280, 50428, 50876, 52011, 50435, 50931, 51524, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15855, 2125, 19, 10, 25306, 619, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 9884, 4, 2595, 10312, 30, 10, 2352, 6757, 6, 13305, 6, 8, 32909, 6, 24, 30853, 23, 10, 7212, 20889, 11, 5, 762, 9, 12608, 538, 6, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 163, 428, 6, 272, 119, 6, 163, 428, 73, 597, 6, 12608, 119, 1176, 406, 6, 8, 230, 119, 3639, 3722, 5581, 7, 42, 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 ]

[ 56103, 50670, 50283, 51359, 60058, 51359, 56040, 58339, 60006, 54975, 50861, 60006, 69928, 55247, 50906, 69928, 64951, 50915, 50799, 50670, 50283, 51359, 60058, 51359, 56040, 58339, 60006, 54975, 50861, 60006, 69928, 55247, 52039, 73090, 66715, 50915, 75315, 51141, 50997, 51115, 50956, 51115, 50670, 50283, 51359, 60058, 51359, 50432, 52039, 74492, 64742, 53264, 52211, 70156, 66715, 55247, 52039, 73090, 66715, 50915, 75315, 51141, 50997, 51115, 50899, 51115, 50670, 50282, 51359, 65048, 51359, 50432, 52334, 74492, 59537, 53264, 52334, 73090, 61861, 55247, 52334, 73090, 61861, 50915, 50799, 53709, 51141, 50900, 51115, 58496, 51518, 54977, 51518, 50432, 53709, 62530, 53264, 52039, 70156, 66715, 55247, 51723, 62930, 58339, 50915, 69982, 50943, 57281, 50943, 67719, 51141, 50965, 51115, 73891, 50670, 50288, 51359, 57483, 51359, 50432, 51641, 60037, 57586, 53264, 51641, 62202, 59258, 55247, 51509, 62202, 59258, 50915, 65578, 58419, 69928, 50915, 69982, 51359, 57281, 51359, 50426, 51579, 58419, 69928, 54975, 51579, 58204, 69928, 56306, 51509, 52596, 51641, 55143, 60006, 57414, 51485, 50805, 63355, 51141, 50956, 51115, 69640, 58496, 51359, 54977, 51359, 50432, 52039, 61480, 53264, 52039, 62930, 55247, 52039, 62930, 50915, 50799, 52211, 51141, 51040, 51115, 74228, 65236, 51359, 58258, 51359, 50432, 52039, 75319, 53264, 52334, 78382, 55247, 53709, 70156, 50915, 50799, 52334, 51141, 50899, 51115, 69982, 51359, 57281, 51359, 50432, 52334, 57260, 53264, 53689, 50889, 52334, 73090, 55247, 52334, 73090, 61861, 50915, 75315, 51141, 50997, 51115, 50956, 51115, 50670, 50283, 51218, 60058, 51218, 50432, 52039, 74492, 64742, 50845, 50670, 50283, 50873, 60058, 54233, 52211, 70156, 66715, 50915, 50670, 50285, 50943, 56301, 56508, 52039, 73090, 66715, 50915, 50670, 50283, 50943, 60058, 50943, 75315, 51141, 50997, 51115, 50899, 51115, 50670, 50282, 51359, 65048, 51359, 50432, 52334, 57260, 53264, 52334, 62525, 55247, 52334, 62525, 50915, 50799, 53709, 51141, 50900, 51115, 58496, 51518, 54977, 51518, 50432, 53709, 62530, 53264, 52039, 70156, 66715, 55247, 51723, 62930, 58339, 50915, 69982, 50943, 57281, 50943, 67719, 62202, 59258, 50915, 50670, 50288, 51359, 57483, 51359, 50426, 51641, 62202, 59258, 54975, 51641, 62202, 59258, 55247, 51509, 62202, 59258, 50915, 65578, 58419, 69928, 50915, 69982, 51359, 57281, 51359, 50426, 51579, 58419, 69928, 54975, 51579, 58204, 69928, 56306, 51509, 52596, 51641, 55143, 60006, 57414, 51485, 50805, 63355, 62930, 58339, 50915, 58496, 51359, 54977, 51359, 50426, 52039, 62930, 54975, 52039, 62930, 55247, 51579, 58419, 69928, 50915, 65578, 51141, 50906, 51115, 51001, 51115, 69982, 51359, 57281, 51359, 50432, 51579, 58204, 68694, 53264, 51579, 58204, 69928, 56306, 51509, 52596, 51641, 55143, 60006, 57414, 51485, 50805, 63355, 62930, 58339, 50915, 58496, 51359, 54977, 51359, 50426, 52039, 62930, 54975, 52039, 62930, 55247, 51579, 58419, 69928, 50915, 65578, 58419, 69928, 50915, 69982, 51359, 57281, 51359, 50426, 51579, 58419, 69928, 54975, 51579, 58204, 69928, 56306, 51509, 52596, 51641, 55143, 60006, 57414, 51485, 50805, 63355, 62930, 58339, 50915, 58496, 51359, 54977, 51359, 50426, 51431, 62930, 58339, 54975, 51641, 57631, 59258, 55247, 51579, 58835, 69928, 50915, 50799, 52336, 65439, 64951, 50915, 69982, 51359, 57281, 51359, 50426, 52336, 65439, 64951, 54975, 51579, 58419, 69928, 55247, 51579, 58419, 69928, 50915, 67719, 51077, 50965, 51047, 68275, 69982, 51359, 57281, 51359, 50438, 51431, 51077, 50956, 51047, 50965, 51047, 67719, 51077, 69640, 50906, 51115, 60058, 51218, 58319, 61026, 50845, 60058, 54233, 50861, 60006, 50915, 60058, 50943, 56222, 60006, 50915, 60058, 50943, 57190, 51047, 68275, 51001, 51047, 60058, 64345, 52629, 51077, 51001, 51047, 51147, 51047, 60058, 51127, 50799, 52336, 51141, 51001, 51115, 50951, 51115, 60058, 51218, 50432, 51641, 55143, 61026, 50845, 60058, 54233, 51641, 57631, 60006, 50915, 60058, 56508, 52629, 65439, 51619, 50324, 50915, 60058, 50943, 51057, 52336, 51141, 51001, 51115, 50951, 51115, 60058, 78787, 51641, 55143, 61026, 50845, 67719, 51077, 50861, 59258, 50915, 58496, 51127, 54439, 59258, 54975, 50861, 60006, 50915, 69982, 51127, 50450, 51509, 60037, 68694, 53586, 51579, 58204, 68694, 50845, 50799, 52264, 58835, 69928, 50915, 50670, 50288, 57908, 51579, 58419, 69928, 50915, 50670, 50287, 56389, 51509, 62202, 59258, 50915, 50670, 50285, 56508, 51641, 57631, 60006, 50915, 50670, 50283, 50943, 64996, 51538, 50906, 51422, 50902, 51422, 69982, 51518, 50450, 51641, 62202, 59258, 50915, 50670, 50288, 50943, 67719, 51077, 69640, 50906, 51115, 60058, 51127, 58319, 61026, 53264, 52629, 51077, 51001, 51047, 51147, 51047, 60058, 51127, 50799, 52336, 51141, 51001, 51115, 50951, 51115, 60058, 51218, 50432, 51641, 55143, 61026, 50845, 60058, 54233, 51641, 57631, 60006, 50915, 60058, 56508, 52629, 65439, 51619, 50324, 50915, 60058, 50943, 51057, 52336, 51141, 51001, 51115, 50951, 51115, 60058, 78787, 51641, 55143, 61026, 50845, 67719, 51077, 50861, 59258, 50915, 58496, 51127, 54439, 59258, 54975, 50861, 60006, 50915, 69982, 51127, 50450, 51509, 60037, 68694, 53586, 51579, 58204, 68694, 50845, 50799, 52264, 58835, 69928, 50915, 50670, 50288, 57908, 51579, 58419, 69928, 50915, 50670, 50287, 56389, 51509, 62202, 59258, 50915, 50670, 50285, 56508, 51641, 57631, 60006, 50915, 50670, 50283, 50943, 64996, 51538, 50906, 51422, 50902, 51422, 69982, 51518, 50450, 51641, 62202, 59258, 50915, 50670, 50288, 50943, 67719, 51538, 69640, 50906, 51115, 50670, 50283, 52821, 60058, 52821, 58319, 61026, 53264, 50861, 60006, 55247, 50861, 60006, 50915, 56178, 51047, 65218, 50906, 69600, 51723, 50889, 69494, 50889, 60058, 74258, 56487, 53172, 57281, 53387, 56445, 53264, 54602, 53999, 57281, 53562, 51723, 50889, 56445, 53586, 56487, 50845, 63355, 50889, 60058, 74258, 57483, 53172, 51641, 50889, 54977, 53387, 55128, 53264, 52264, 50889, 56283, 53999, 54977, 53562, 51509, 50889, 55128, 53586, 54977, 50845, 65578, 50889, 60058, 74258, 57281, 53172, 55546, 53387, 56445, 53264, 54602, 53999, 57281, 53562, 51579, 50889, 56445, 53586, 56487, 50845, 51057, 51509, 50889, 56301, 70704, 54977, 53172, 51641, 50889, 57862, 53387, 54977, 50845, 64996, 51077, 69982, 74258, 56301, 53172, 57281, 53387, 55128, 53264, 52334, 51077, 55546, 53999, 55128, 53562, 57281, 53586, 55546, 50845, 51057, 52334, 51141, 50670, 50285, 70704, 57862, 53172, 56445, 53387, 52334, 50805, 54977, 50845, 50799, 52334, 51077, 69982, 74258, 56301, 53172, 55546, 53387, 56301, 53264, 55546, 69600, 52334, 50889, 75315, 51141, 51086, 51115, 50899, 51115, 74228, 56487, 51359, 50432, 52039, 50805, 51086, 59537, 59198, 53264, 52211, 51608, 50303, 61861, 58134, 55247, 52039, 51608, 50303, 61861, 58134, 50915, 63355, 51141, 50956, 51115, 69640, 58496, 51359, 50432, 52039, 61480, 53264, 52039, 62930, 55247, 52039, 62930, 50915, 50799, 51898, 51141, 51040, 51115, 78338, 69640, 57862, 51359, 50432, 51898, 75319, 61432, 57348, 53264, 51723, 78382, 60817, 58339, 55247, 51898, 78382, 60817, 58339, 50915, 64934, 51141, 74228, 68485, 65048, 51359, 50432, 51898, 57260, 59198, 53264, 51898, 62525, 58134, 55247, 51898, 62525, 58134, 50915, 50799, 52298, 62930, 68369, 58421, 50915, 50670 ]

[ 0, 250, 765, 6, 20425, 5175, 37903, 4246, 10, 15352, 30054, 13305, 483, 8, 10, 31391, 1672, 9590, 6, 278, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 24826, 198, 5, 40286, 12608, 119, 1176, 406, 6, 211, 6, 272, 119, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 51602, 50991, 51512, 53471, 51602, 50807, 51099, 52765, 51512, 52262, 71724, 51099, 52831, 51137, 50807, 51429, 52513, 51275, 52809, 51137, 50991, 51435, 52567, 51639, 50800, 54920, 76794, 51639, 53471, 51416, 51620, 51910, 50991, 51153, 53505, 51526, 51091, 51429, 53658, 51308, 51757, 51526, 58031, 51308, 52567, 51099, 50800, 55609, 50991, 51512, 53471, 51602, 50807, 51099, 52765, 51512, 52262, 71724, 51099, 52831, 51137, 50807, 51429, 52513, 51275, 52809, 51137, 50991, 51435, 52567, 51639, 50800, 54920, 76794, 51639, 53471, 51416, 51620, 51910, 50991, 51153, 53505, 51526, 51091, 51429, 53658, 51308, 51757, 51526, 58031, 51308, 52567, 51099, 50800, 55609, 50991, 51512, 53471, 51602, 50807, 51099, 52765, 51512, 52262, 71724, 51099, 52831, 51137, 50807, 51429, 52513, 51275, 52809, 51137, 50991, 51435, 52567, 51639, 50800, 54920, 76794, 51639, 53471, 51416, 51620, 51910, 50991, 51153, 53505, 51526, 51091, 51429, 53658, 51308, 51757, 51526, 58031, 51308, 52567, 51308, 50800, 55609, 50991, 51512, 53471, 51602, 50807, 51099, 52765, 51512, 52262, 71724, 51099, 52831, 51137, 50807, 51429, 52513, 51275, 52809, 51137, 50991, 51435, 52567, 51639, 50800, 54920, 76794, 51639, 53471, 51416, 51620, 51910, 50991, 51153, 53505, 51526, 51091, 51429, 53658, 51308, 51757, 51526, 58031, 51308, 52567, 51308, 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, 250, 3495, 2214, 19, 5175, 4785, 6, 42, 2125, 22750, 1626, 11098, 8, 657, 6, 19, 10, 11602, 9, 1619, 4780, 4, 20, 13305, 3315, 5, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 21979, 9590, 6, 21677, 32909, 6, 8, 3459, 8669, 4, 8504, 11, 83, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 2877, 6, 4246, 10, 33215, 13931, 9, 381, 406, 6, 1918, 406, 6, 8, 1918, 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 ]

[ 57211, 56807, 51008, 50965, 53131, 50318, 53130, 50290, 52136, 50997, 52598, 51261, 51029, 52255, 51204, 51838, 51172, 52137, 50978, 52735, 50987, 52457, 51562, 51935, 51071, 50886, 51718, 52272, 55180, 50951, 51775, 50902, 68470, 52256, 52036, 51158, 52430, 60054, 65072, 56133, 51889, 60811, 52626, 53466, 52225, 50879, 52137, 51058, 51784, 60727, 50886, 51718, 52272, 59833, 52735, 62109, 50931, 50864, 51261, 50823, 51838, 50800, 52036, 50905, 52186, 62314, 50366, 52272, 50375, 53047, 54077, 65555, 50916, 53130, 50311, 53130, 50289, 52256, 51027, 51447, 51216, 51059, 53100, 51318, 51615, 51419, 51711, 50795, 52225, 50873, 52376, 51047, 52404, 51071, 50886, 73375, 54465, 50876, 51576, 50916, 51961, 50861, 51961, 51863, 50805, 51838, 54732, 50366, 52272, 63155, 53718, 53794, 51656, 50873, 51711, 51058, 52355, 60344, 50886, 60163, 50381, 53047, 62356, 53828, 59960, 71532, 51216, 50860, 51615, 50849, 51863, 50838, 52278, 50974, 52095, 51071, 60359, 58693, 52886, 51313, 54868, 77918, 51637, 50916, 51449, 50877, 51671, 51389, 51072, 51881, 51359, 52033, 51313, 51656, 51359, 51711, 51151, 52714, 51445, 52457, 51313, 51935, 51071, 50904, 51715, 52051, 50381, 53047, 54657, 50804, 50370, 52051, 53910, 51270, 53901, 51216, 53694, 50904, 51190, 52272, 54854, 50899, 54829, 50804, 75613, 72615, 53891, 51273, 51009, 52404, 51071, 50886, 73375, 50855, 54141, 50368, 52272, 50864, 52612, 51128, 51382, 50864, 75859, 64647, 53211, 52095, 51071, 60359, 60135, 51769, 74509, 51321, 60863, 51065, 50835, 54868, 50837, 51389, 50823, 51935, 51071, 70922, 61141, 55180, 52861, 51631, 52387, 51736, 52213, 51646, 52280, 55700, 52213, 55178, 52387, 50865, 51236, 54583, 51273, 50803, 52861, 50865, 51236, 50890, 55435, 50863, 50899, 50863, 50916, 78662, 50863, 51214, 54171, 51026, 51922, 51098, 51029, 52387, 52218, 54332, 50904, 51718, 52268, 60033, 55180, 50997, 52598, 50899, 51490, 50916, 51447, 50861, 52783, 52387, 51605, 50804, 65072, 56133, 51889, 50857, 51302, 50886, 51718, 52268, 60033, 52810, 50804, 50366, 51259, 74767, 50375, 53047, 54077, 51493, 51072, 50705, 50294, 51003, 54108, 51097, 52404, 51071, 50886, 73375, 54465, 50997, 51961, 50804, 50366, 52272, 54915, 50899, 51852, 51098, 51072, 55327, 50943, 51900, 51330, 50804, 50886, 51190, 52268, 50371, 51613, 50381, 53047, 54232, 65313, 52095, 51071, 71016, 71402, 50840, 56310, 52081, 50305, 78178, 52666, 50311, 52081, 50289, 53588, 51216, 51009, 67751, 51945, 52549, 52916, 51577, 51071, 50904, 51715, 52268, 69416, 50380, 53047, 54657, 51027, 52256, 51040, 51490, 50916, 51447, 50861, 51447, 54227, 54416, 75309, 64371, 55754, 51236, 53383, 52861, 54416, 50904, 51190, 51259, 60033, 54860, 52387, 54416, 75613, 72615, 53891, 51493, 51072, 52213, 51650, 53988, 50886, 73375, 54840, 51027, 51679, 52387, 54416, 50368, 52268, 50369, 52272, 50864, 52612, 60801, 51040, 51852, 51216, 50860, 52861, 54416, 50864, 51715, 52268, 70672, 64647, 53211, 50877, 51376, 51493, 50823, 54227, 50865, 52095, 51071, 59295, 50371, 51613, 50836, 53975, 50863, 50899, 71357, 50863, 50877, 50837, 51120, 52598, 51273, 51009, 52861, 51036, 51577, 51071, 50904, 51718, 52268, 60033, 50890, 53502, 52263, 50871, 51878, 50899, 51447, 50877, 51447, 50804, 65072, 56133, 51889, 50857, 51302, 50886, 51718, 52268, 60033, 52810, 50804, 50366, 51259, 74767, 50375, 53047, 60633, 51027, 51490, 62145, 51072, 58707, 50915, 51784, 52011, 58046, 51750, 56122, 52878, 50900, 52256, 50804, 50366, 52272, 54915, 50871, 51642, 52419, 51072, 69579, 50943, 52355, 51466, 50804, 50886, 51190, 52268, 50371, 51613, 50381, 53047, 54232, 50877, 51079, 52095, 51071, 71016, 71402, 50840, 54868, 52263, 51086, 52783, 50899, 52168, 50871, 52783, 50877, 52783, 51273, 51009, 67093, 51605, 52824, 52528, 51577, 51071, 50904, 51715, 52268, 69416, 50380, 53047, 54657, 54091, 51626, 75309, 64371, 55754, 51236, 53383, 54227, 51626, 50904, 51190, 51259, 60033, 54860, 52861, 51626, 75613, 72615, 53891, 51027, 52598, 65206, 52387, 51650, 53988, 50886, 73375, 54840, 51086, 52441, 52861, 54416, 50368, 52268, 50369, 52272, 50864, 52612, 51128, 56279, 51645, 52419, 51072, 54227, 51626, 50864, 51715, 52268, 70672, 64647, 53211, 57810, 54091, 50865, 52095, 51071, 59295, 50371, 51613, 50836, 55435, 50870, 50899, 62710, 63484, 51954, 50287, 51748, 51026, 51748, 51098, 51009, 54227, 50830, 68445, 51359, 52186, 52727, 51577, 51071, 50904, 51718, 52268, 60033, 55180, 50997, 52263, 50899, 52263, 50916, 51314, 50861, 51314, 54227, 60114, 65072, 56133, 51889, 50857, 51302, 50886, 51718, 52268, 60033, 52810, 50804, 50366, 51259, 74767, 50375, 53047, 54077, 51273, 50824, 52404, 51071, 50886, 73375, 54465, 50997, 51679, 52861, 54416, 50366, 52272, 54915, 50899, 51576, 51098, 51072, 54227, 54416, 50886, 51190, 52268, 50371, 51613, 50381, 53047, 54232, 50861, 50904, 54091, 51650, 54472, 71016, 71402, 50840, 57542, 65789, 74825, 77157, 52081, 50296, 51671, 51493, 51009, 54227, 50800, 67093, 51307, 52824, 55490, 51577, 51071, 50904, 51715, 52268, 69416, 50380, 53047, 54657, 51086, 52263, 50899, 51314, 50916, 51314, 50965, 52980, 54227, 60114, 75309, 64371, 55754, 51236, 50857, 51302, 50904, 51190, 51259, 60033, 54860, 50804, 75613, 72615, 53891, 51668, 50824, 52404, 51071, 50886, 73375, 54840, 51086, 51330, 52861, 51626, 50368, 52268, 50369, 52272, 50864, 52612, 51128, 56279, 51645, 51493, 50802, 54227, 54416, 50864, 51715, 52268, 70672, 64647, 53211, 51086, 51123, 50965, 50912, 54091, 51650, 54472, 59295, 50371, 51613, 50836, 55547, 50891, 50916, 50863, 50877, 50863, 51028, 50870, 51027, 50941, 51216, 50811, 54227, 52382, 54246, 53345, 54332, 50904, 51718, 52268, 60033, 55180, 50916, 61324, 50837, 51279, 52386, 50301, 52386, 50317, 50941, 51216, 50803, 58505, 50862, 51898, 50857, 54246, 50813, 55066, 55924, 65072, 56133, 51889, 50857, 51302, 50886, 51718, 52268, 60033, 52810, 50916, 77112, 50870, 51279, 52386, 50301, 52386, 50317, 50941, 51216, 50803, 58505, 50867, 51898, 50864, 54246, 50857, 55066, 59392, 50366, 51259, 74767, 50375, 53047, 54077, 51234, 52386, 50302, 75868, 64237, 71608, 50904, 51261, 50811, 56033, 50813, 51723, 50886, 52714, 50857, 54641, 58011, 53988, 50886, 73375, 54465, 50906, 50863, 51234, 52386, 50302, 75770, 62774, 50941, 51261, 50803, 56033, 50813, 51723, 50886, 52714, 50874, 54641, 59606, 50366, 52272, 54915, 51085, 50870, 50900, 78662, 50870, 50876, 65567, 50904, 51150, 50803, 58053, 50813, 51431, 50886, 52278, 50827, 52832, 54965, 50886, 51190, 52268, 50371, 51613, 50381, 53047, 54232, 50997, 78226, 50863, 51234, 61582, 74197, 50904, 51261, 50803, 56033, 50867, 51723, 50864, 52714, 50851, 54641, 55503, 54472, 71016, 71402, 50840, 55547, 50912, 51027, 50907, 64385, 57472, 59950, 51216, 50803, 58505, 50862, 51898, 50857, 54246, 50822, 55066, 50844, 51652, 58011, 54332, 50904, 75859, 50381, 53047, 54657, 52861, 51631, 52387, 51736, 52213, 51646, 52280, 51918, 52213, 51798, 52387, 63977, 55370, 51273, 50823, 52861, 63977, 50840, 55435, 50863, 50899, 50863, 50916, 78662, 50863, 51214, 54171, 51026, 51922, 51098, 51029, 52387, 52218, 54332, 50904, 51718, 52268, 60033, 55180, 50997, 52598, 50899, 51490, 50916, 51447, 50861, 52783, 52387, 51605, 50804, 65072, 50857, 53327, 77716, 50857 ]

[ 0, 250, 15352, 30054, 11057, 2214, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 3459, 8669, 6, 1076, 560, 31365, 25999, 6, 21979, 9590, 6, 8, 21072, 4, 8504, 11, 274, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 12608, 6, 274, 119, 406, 6, 163, 43531, 6, 8, 12608, 401, 3639, 7, 63, 28339, 8, 1011, 625, 12, 3341, 13408, 6, 2351, 10, 32076, 5466, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 50461, 51065, 50962, 50799, 53684, 51274, 51399, 51189, 51040, 51218, 50900, 65901, 51189, 54021, 51460, 50422, 51261, 50846, 57363, 54692, 53521, 53939, 53033, 51112, 50434, 51399, 51581, 50341, 52236, 50305, 64088, 53593, 50871, 77445, 56359, 51065, 52444, 52078, 51345, 57048, 67000, 54411, 51868, 66799, 58839, 51065, 56419, 51430, 50921, 50997, 51731, 50338, 69856, 59026, 51065, 50809, 68818, 50870, 51150, 50981, 50415, 52052, 50955, 50417, 51339, 50844, 50419, 51430, 57257, 51081, 57074, 51405, 51620, 53262, 67043, 55250, 53521, 68748, 51430, 66881, 51405, 51204, 51150, 57445, 53593, 50956, 73657, 56389, 51793, 51345, 51065, 52555, 51399, 51060, 51668, 78570, 67000, 56106, 59672, 51081, 53793, 51040, 62379, 68095, 57112, 50846, 54204, 51159, 51065, 54818, 51522, 72594, 54188, 54332, 58322, 52128, 50837, 51261, 54248, 52052, 55326, 52565, 53684, 52236, 50329, 50840, 51098, 51003, 51065, 58408, 51399, 50925, 53684, 64201, 52052, 56038, 50804, 53688, 53684, 51442, 50329, 50865, 51868, 51345, 50843, 54188, 71310, 51399, 51731, 50341, 74937, 62221, 70483, 55318, 53902, 51040, 50863, 60653, 51157, 51065, 53150, 51261, 59702, 67000, 52942, 52359, 51399, 58039, 51787, 56535, 51065, 52565, 51522, 51003, 51065, 57014, 51339, 50936, 50446, 51430, 54787, 50989, 62530, 64471, 55758, 51930, 69921, 64088, 52942, 60949, 51062, 51158, 50458, 51522, 57326, 50999, 63396, 50828, 60294, 51346, 51065, 54745, 51147, 50873, 50425, 51065, 53988, 57158, 53425, 51405, 51158, 50956, 51145, 50965, 51127, 51150, 51112, 77095, 75427, 51103, 72959, 53593, 51220, 59693, 51062, 51294, 68958, 51221, 51065, 50836, 57048, 53688, 51868, 72594, 67000, 66767, 51261, 54625, 51065, 50818, 60653, 51048, 51065, 60955, 50989, 61123, 65633, 52386, 50305, 50971, 57363, 53548, 51339, 50886, 51261, 51162, 50843, 67000, 59965, 51787, 52559, 51339, 57083, 51065, 58024, 51405, 52599, 51522, 51003, 51065, 59360, 51399, 65389, 51081, 70251, 75660, 50989, 52434, 50304, 50925, 71039, 50448, 79630, 57048, 67000, 55557, 53688, 51930, 51112, 50451, 50931, 60632, 51001, 52935, 51028, 62616, 51522, 69528, 61698, 50906, 50820, 54960, 64511, 78502, 50972, 51868, 51157, 51065, 57056, 50900, 59704, 62149, 50956, 60365, 67661, 66407, 50841, 50965, 50828, 57363, 57158, 67000, 53939, 51930, 51116, 50434, 51868, 55318, 58855, 51065, 53813, 51001, 60259, 50955, 50956, 78067, 50955, 51793, 51048, 50439, 50965, 62565, 75733, 65058, 50900, 63307, 73268, 61495, 50843, 67000, 54332, 53035, 51868, 51157, 59211, 54943, 51028, 56834, 51065, 50887, 57923, 50910, 51705, 50943, 50418, 51028, 56818, 51001, 79658, 62685, 52434, 50308, 50938, 59915, 54188, 53939, 53262, 72042, 59890, 51705, 55326, 56359, 51065, 55395, 51147, 50878, 50965, 50925, 51001, 50942, 70697, 51027, 50810, 51793, 51055, 50442, 51068, 63381, 50989, 50808, 51114, 50897, 50956, 64661, 51027, 54345, 61495, 51068, 54208, 51140, 51159, 50453, 51068, 59567, 50804, 71154, 50852, 50889, 54578, 51233, 50931, 51233, 51040, 51423, 50876, 51194, 50900, 51194, 51261, 50980, 51256, 50917, 51893, 69904, 51256, 53184, 51893, 52329, 51522, 51003, 51441, 51698, 63024, 51772, 51101, 52031, 51177, 50434, 51917, 50844, 51934, 52854, 59921, 50852, 55965, 67692, 51040, 50933, 59725, 51026, 60094, 50874, 51098, 51109, 51451, 51177, 51334, 51194, 50446, 51026, 50813, 51040, 61752, 50820, 51028, 64470, 54284, 52000, 51419, 51408, 72499, 51868, 51238, 51340, 51698, 63181, 51098, 51437, 50836, 53788, 51013, 50852, 67697, 51209, 51363, 51830, 51484, 68225, 69991, 66830, 50835, 50997, 52762, 51705, 51056, 50903, 53330, 65450, 52000, 51100, 51408, 51111, 50435, 51664, 51145, 51229, 72376, 53894, 50965, 65521, 61579, 51419, 50931, 75055, 51391, 51140, 78236, 55441, 51150, 51160, 70773, 50854, 52385, 50458, 51140, 50828, 51621, 50813, 54960, 75543, 51073, 51256, 51363, 52286, 62895, 67697, 67108, 51040, 50822, 58529, 50900, 52654, 51522, 51159, 51334, 57429, 50854, 51762, 50427, 51451, 51100, 50434, 51028, 76268, 51537, 50299, 61339, 60953, 50829, 51408, 51183, 52000, 69601, 59948, 50852, 56389, 51098, 55082, 51868, 51238, 51718, 51698, 63569, 51098, 51467, 59700, 50852, 50914, 58540, 50827, 50989, 69862, 64052, 50844, 51040, 50844, 51930, 51073, 50415, 51547, 51233, 52812, 75584, 51261, 51073, 51893, 51060, 50903, 52938, 65450, 51256, 70935, 50989, 51134, 50876, 51351, 50931, 51134, 50900, 64389, 56788, 51772, 51477, 52031, 51318, 50438, 51522, 78236, 75355, 51930, 51238, 50903, 53330, 62616, 51522, 50855, 51674, 62647, 57326, 54503, 51377, 50461, 51001, 51328, 50852, 50943, 57190, 51328, 50876, 63327, 60540, 73658, 50838, 51868, 51112, 50423, 51674, 50897, 54503, 57316, 51150, 51157, 51441, 51698, 63024, 51547, 50873, 53076, 51177, 50434, 50965, 51419, 50876, 51391, 50871, 51419, 51256, 56879, 56000, 50900, 51351, 51040, 51419, 51893, 58927, 51261, 51346, 50852, 73125, 51772, 51233, 52031, 51337, 50447, 51917, 51534, 51934, 73580, 51868, 51110, 51230, 51698, 63181, 51261, 54026, 51408, 51576, 52000, 79202, 50855, 60653, 51048, 50852, 51056, 50422, 72814, 51040, 50942, 66908, 50906, 65605, 51893, 69635, 55640, 51261, 51157, 51772, 51212, 52031, 51212, 50903, 52938, 60012, 50931, 50840, 55703, 56000, 51229, 51363, 51664, 52188, 50437, 50931, 51134, 50876, 51391, 50989, 51391, 50852, 51056, 55203, 51351, 51522, 51003, 50446, 51256, 50925, 51893, 70380, 52031, 72326, 51930, 51215, 51772, 51212, 50903, 50833, 52385, 50458, 51522, 53340, 57326, 51674, 52168, 53008, 51662, 57923, 52015, 50965, 66743, 51145, 50871, 51742, 50900, 51742, 50956, 52168, 51868, 51346, 50852, 50943, 50425, 50903, 53049, 51930, 58101, 60085, 51868, 51916, 59948, 50852, 67272, 51793, 51073, 50446, 52031, 51111, 50447, 51772, 68366, 51868, 71547, 52938, 63152, 51917, 50901, 51934, 73363, 50791, 50855, 55435, 68503, 50942, 50916, 52415, 50314, 50897, 51705, 75342, 69355, 51547, 50905, 52812, 51481, 50423, 51934, 50873, 51917, 63559, 53262, 51238, 50903, 52938, 62225, 51451, 50901, 51334, 50901, 64821, 59062, 51705, 59948, 50965, 66715, 51391, 51028, 51381, 50931, 50981, 50852, 55965, 51027, 50915, 51793, 51055, 50439, 52286, 51709, 51256, 72380, 51140, 67638, 52938, 50836, 55779, 59700, 50852, 50943, 54960, 51665, 50319, 52363, 50305, 52415, 50304, 65068, 50978, 51261, 51238, 50415, 51256, 51008, 51893, 60988, 51893, 50821, 51256, 56382, 51522, 50914, 51441, 51698, 63024, 52031, 50901, 51772, 51212, 50434, 51917, 50874, 51934, 52854, 59921, 50852, 56509, 51040, 52169, 50317, 51962, 50299, 50955, 50906, 50987, 51098, 50943, 51451, 70575, 56963, 51334, 51101, 50446, 51028, 78277, 50857, 51408, 51391, 50447, 51026, 72020, 60953, 50829, 52000, 72499, 51868, 50991, 51441, 51698, 63181, 51098, 51187, 50855, 55524, 79652, 60334, 78864, 50864, 51150, 51013, 51830, 51480, 50852, 69355, 51209, 73911, 51705, 51159, 51718, 51698, 63024, 52000, 51101, 51408, 74891, 50956, 74915, 67680, 51253, 50931, 72944, 56901, 56788, 51664, 51244, 51229, 51790, 60116, 51056, 50852, 57197, 51150, 51238, 51441, 51698, 63181, 51140, 50828, 51621, 50855, 54960, 51233, 51040, 51233, 50931, 51177, 51062, 51194, 50900, 57934, 51242, 51261, 51048, 50852, 69355, 51256, 51043, 52286, 51412, 50426, 51522, 51056, 51334, 51060, 50903 ]

[ 0, 250, 15352, 30054, 3495, 3152, 2214, 19, 10, 7212, 20889, 6, 278, 11, 5, 762, 9, 211, 3694, 8, 4246, 10, 204, 73, 306, 86, 6543, 4, 7219, 8, 21979, 29589, 6, 552, 19, 3459, 9590, 8, 17605, 9590, 6, 1045, 10, 20902, 8, 33558, 5466, 4, 20, 16331, 33215, 16739, 9, 211, 6, 1918, 6, 8, 274, 119, 1176, 406, 3639, 7, 5, 2214, 18, 17627, 17274, 8, 11653, 6711, 6, 442, 24, 10, 1969, 11739, 9, 11098, 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 ]

[ 56103, 51271, 52045, 52468, 74258, 51322, 51675, 50426, 51664, 51377, 50432, 51209, 51945, 50438, 51322, 78373, 51547, 51518, 50450, 51322, 51241, 50456, 51664, 51178, 50799, 52468, 51518, 50420, 51322, 68076, 51664, 78265, 51209, 51518, 50438, 52053, 50967, 51322, 65562, 51547, 51127, 50447, 51817, 59323, 51664, 58705, 66709, 52468, 50925, 54516, 51036, 54244, 51675, 50420, 52000, 78797, 52286, 78787, 51322, 51945, 50438, 52286, 51241, 50444, 53046, 58460, 54244, 58705, 52286, 51945, 54516, 50918, 54244, 53223, 52000, 78797, 51322, 79763, 51366, 51518, 50438, 52053, 50967, 52000, 71158, 51322, 50943, 50447, 51817, 58647, 52286, 51377, 50456, 51271, 50865, 54244, 50873, 56540, 51036, 52468, 51945, 50420, 51322, 78797, 51664, 51056, 50432, 51209, 51945, 50438, 51322, 51518, 50444, 51547, 51518, 50450, 51664, 58705, 52468, 51945, 56540, 51291, 50420, 51664, 68076, 51322, 71992, 51209, 51518, 50438, 52053, 50991, 51322, 51417, 50444, 51547, 51127, 50447, 51817, 58647, 51664, 58705, 66709, 52468, 50925, 54516, 51036, 54244, 51675, 50420, 52000, 78797, 52286, 51056, 50432, 51322, 51675, 50438, 52286, 51241, 50444, 52468, 58460, 54244, 51518, 50456, 52286, 51675, 53596, 51591, 52000, 51127, 50415, 51322, 51417, 52594, 52952, 50804, 52284, 63241, 50866, 57971, 50987, 60679, 50938, 68963, 50948, 51096, 51393, 50297, 69313, 50938, 62457, 59589, 50445, 51456, 52116, 57971, 50878, 60679, 50878, 63241, 50959, 68963, 50878, 51096, 50977, 51164, 50910, 51037, 50910, 74946, 50847, 56776, 50811, 53061, 52163, 63241, 50827, 57971, 50810, 68963, 50840, 60679, 50833, 51096, 50917, 51164, 50808, 63110, 50848, 59708, 67147, 50803, 50799, 57971, 50942, 63241, 50938, 68963, 50901, 60679, 51116, 51096, 50987, 51164, 50910, 51037, 50938, 56116, 74867, 71088, 53005, 67972, 64615, 51376, 50420, 61668, 51008, 59246, 50827, 69144, 51123, 70587, 62681, 73424, 58797, 50850, 51582, 63471, 64615, 53220, 59246, 53487, 61668, 53651, 60679, 54527, 69144, 54249, 50964, 53380, 50988, 53363, 50885, 53363, 50868, 53363, 50847, 53363, 50804, 52010, 64349, 53363, 50428, 64615, 53233, 51361, 50844, 51570, 50844, 51180, 50844, 51382, 52010, 50457, 50791, 50844, 67659, 76714, 77639, 53049, 51485, 53474, 60107, 51431, 76714, 50844, 51570, 53783, 63241, 50866, 57971, 50987, 68963, 50948, 51096, 51058, 51164, 69313, 50938, 62457, 59589, 51485, 72706, 60257, 71696, 60679, 57415, 57971, 50878, 63241, 50959, 60679, 50878, 51096, 50987, 51164, 50910, 51037, 50910, 74946, 50847, 56776, 52010, 50451, 68963, 58325, 63241, 50827, 57971, 50810, 68963, 50840, 51096, 50937, 51164, 50808, 63110, 50848, 50840, 57137, 51898, 72706, 62516, 60679, 52938, 50844, 50799, 57971, 50878, 63241, 50866, 68963, 50805, 60679, 50866, 51096, 50987, 51164, 50910, 51037, 50938, 56116, 59589, 71088, 53005, 67972, 64615, 51376, 50420, 61668, 50810, 69144, 50808, 60679, 50808, 70587, 50988, 50846, 56740, 58797, 57137, 58126, 52039, 51941, 50791, 63471, 64615, 50851, 59246, 52976, 59246, 53363, 61668, 53363, 50964, 53380, 50988, 53363, 50885, 53363, 50868, 53363, 50847, 53363, 50804, 52010, 50427, 69144, 54527, 60679, 54527, 50850, 53363, 50428, 64615, 53233, 51361, 50844, 51570, 50844, 51180, 50844, 51382, 52010, 50457, 50791, 50844, 67659, 55417, 53932, 51485, 60397, 50833, 51302, 60107, 51431, 75269, 50844, 51570, 53783, 57971, 50925, 60679, 50948, 63241, 50897, 51096, 51058, 51164, 50910, 51037, 50910, 74946, 59589, 51579, 72330, 64532, 71696, 68963, 68280, 51096, 50987, 51164, 50910, 51037, 50910, 74946, 50847, 56776, 52010, 50451, 57971, 50878, 63241, 50959, 60679, 50878, 68963, 58325, 63241, 50864, 57971, 50813, 51096, 50937, 51164, 50840, 51037, 61631, 50840, 57137, 51744, 51696, 50798, 62516, 68963, 50840, 60679, 52938, 50844, 50799, 63241, 50866, 57971, 50878, 51096, 50987, 51164, 50910, 51037, 69912, 51111, 74867, 71088, 53005, 67972, 68963, 51095, 60679, 51203, 64615, 51376, 50420, 70587, 56740, 58797, 57137, 50850, 51582, 63471, 61668, 50912, 69144, 50827, 60679, 50827, 64615, 65173, 59246, 64024, 50988, 53855, 59246, 53363, 61668, 53363, 50964, 53380, 50988, 53363, 50885, 53363, 50868, 53363, 50847, 53363, 50804, 52010, 50427, 69144, 54527, 60679, 54527, 50850, 53363, 50428, 64615, 53233, 51361, 50844, 51570, 50844, 51180, 50844, 51382, 52010, 50457, 50791, 50844, 67659, 55271, 53932, 51485, 71496, 50833, 51302, 60107, 51431, 76714, 50844, 51570, 53783, 57971, 50955, 63241, 50878, 60679, 50938, 68963, 50940, 51096, 51058, 51164, 50910, 51037, 50910, 74946, 59589, 51485, 72706, 53417, 54004, 57971, 50878, 63241, 50959, 68963, 50810, 60679, 50878, 51096, 50987, 51164, 50910, 51037, 50910, 55972, 50847, 56776, 59690, 57971, 50813, 63241, 50864, 68963, 50840, 60679, 50833, 51096, 50937, 51164, 50840, 51037, 61631, 50840, 57137, 51898, 72706, 62037, 50791, 50844, 50799, 57971, 50878, 60679, 51203, 63241, 50866, 51096, 50987, 51164, 50910, 51037, 69912, 51111, 74867, 71088, 53005, 67972, 68963, 51111, 64615, 51376, 50420, 59246, 51004, 61668, 50851, 69144, 50874, 70587, 50988, 50846, 56740, 58797, 57137, 58126, 52039, 52536, 50791, 63471, 60679, 50886, 64615, 53220, 59246, 53898, 61668, 53898, 69144, 53898, 50964, 53380, 50988, 53363, 50885, 53363, 50868, 53363, 50847, 53363, 50804, 52010, 50427, 60679, 53898, 50850, 53363, 50428, 64615, 53898, 51361, 50844, 51570, 50844, 51180, 50844, 51382, 52010, 50457, 50791, 50844, 67659, 55417, 53932, 51485, 60397, 50833, 51302, 60107, 51431, 71496, 50844, 51570, 53783, 59246, 51008, 69144, 50910, 50964, 51058, 50988, 50910, 73424, 66732, 59589, 51579, 72706, 56022, 71696, 61668, 50959, 60679, 57824, 59246, 56164, 50308, 78536, 50987, 62681, 56740, 58797, 50847, 56776, 52010, 50451, 61668, 50833, 60679, 59349, 59246, 50962, 69144, 50962, 61668, 51010, 50964, 50937, 50988, 62750, 60975, 59708, 50840, 52314, 53073, 50804, 57303, 60679, 52853, 50844, 50799, 54931, 51735, 63103, 51290, 68963, 51566, 50927, 51157, 51171, 50938, 67208, 73592, 62663, 60075, 55267, 50912, 50415, 60927, 51290, 64615, 51566, 50420, 51171, 50910, 67208, 50848, 74431, 62663, 61926, 54325, 54931, 51227, 63103, 51157, 68963, 51157, 50927, 51056, 51171, 50938, 67208, 62457, 50944, 62663, 52918, 52229, 60950, 60927, 51157, 64615, 51290, 50432, 51171, 50910, 67208, 73592, 62663, 51654, 54336, 56006, 54931, 50924, 63103, 50924, 68963, 50865, 71926, 51171, 50938, 67208, 62457, 50944, 62663, 53871, 52229, 50984, 50439, 60927, 50924, 64615, 60021, 54931, 51159, 63103, 51159, 68963, 51312, 60927, 51159, 64615, 51159, 50927, 50977, 51171, 50938, 67208, 73592, 56678, 54367, 56881, 50927, 50866, 51171, 50938, 67208, 73592, 56678, 52918, 52229, 52863, 54931, 51735, 63103, 51735, 60927, 51237, 64615, 51237, 68963, 51454, 50927, 51159, 51171, 59627, 64500, 50944, 56678, 53871, 63848, 50856, 50984, 58282, 50938, 67208, 62457, 50944, 60782, 53390, 55869, 69144, 51142, 54931, 50865, 63103, 50987, 64615, 50805, 68963, 50938, 66482, 51171, 50938, 67208, 62457, 66732, 50850, 51654, 55328, 54325, 54931, 51735, 63103, 51735, 64615, 51237, 69144, 51073, 68963, 51735, 50927, 51159, 51171, 50938, 67208, 62457, 50868, 62663, 52918, 52229, 52658, 51171, 50910, 50946, 50910, 74946, 80247, 50850, 53871, 54336, 56006, 54931 ]

[ 0, 250, 15855, 2125, 4246, 10, 326, 5638, 18026, 8, 6755, 12547, 6, 42, 765, 2214, 7630, 6568, 10, 25306, 5466, 19, 63, 2933, 8, 9066, 223, 34693, 4, 8504, 11, 5, 762, 9, 2060, 538, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 24, 26658, 149, 10, 33215, 13931, 9, 2060, 6, 12608, 6, 2060, 6, 8, 230, 10431, 6, 2351, 10, 1472, 9, 8556, 8, 800, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50420, 53542, 50854, 52377, 51101, 52316, 50854, 51375, 67175, 52701, 50866, 51702, 51542, 52377, 51381, 54006, 51318, 51794, 50866, 51154, 51542, 51375, 51381, 51488, 51318, 50432, 53542, 50854, 52316, 54181, 53456, 50808, 51887, 52711, 56760, 50854, 52377, 51178, 53599, 50854, 51375, 65504, 61979, 50844, 53542, 50897, 52377, 52441, 52194, 51419, 53397, 51115, 53623, 50844, 52316, 50897, 51375, 52441, 51093, 51419, 51395, 51115, 50456, 54461, 50810, 52481, 50810, 50799, 54864, 50810, 52143, 53066, 61979, 50813, 52377, 51177, 53623, 50813, 51375, 66010, 50708, 50281, 50813, 56760, 50862, 52377, 54344, 54006, 51363, 53192, 51003, 59472, 50813, 53599, 50862, 51375, 54344, 51488, 51363, 51201, 60307, 71021, 50862, 54461, 50855, 54480, 50862, 52481, 54431, 59221, 50886, 53456, 50846, 54006, 50905, 53192, 51253, 55504, 50915, 52907, 50886, 51887, 50846, 51488, 50905, 51201, 51253, 51629, 56306, 50708, 50281, 50855, 56760, 50836, 53084, 51337, 59472, 50855, 53599, 50836, 51357, 75926, 71197, 51194, 55870, 51110, 52178, 51775, 55495, 51312, 56476, 50981, 55472, 51194, 53148, 51110, 51165, 51775, 51600, 51312, 51394, 50981, 50799, 71197, 51177, 55870, 51100, 52178, 50932, 54006, 51312, 55495, 50995, 55472, 51177, 53148, 51100, 51165, 50932, 51488, 51312, 51600, 58187, 61979, 51101, 53542, 51121, 52377, 50955, 54006, 50959, 53192, 50917, 53623, 51101, 52316, 51121, 51375, 50955, 51488, 50959, 51201, 56504, 52377, 51411, 54006, 51380, 53192, 51377, 51375, 51411, 51488, 51380, 51201, 51377, 50438, 61979, 51043, 53542, 51178, 53623, 51043, 52316, 79959, 52377, 51058, 54006, 50978, 53192, 51177, 51375, 51058, 51488, 50978, 51201, 68366, 61979, 51101, 53542, 51178, 52698, 51534, 52194, 51480, 53397, 51253, 53623, 51101, 52316, 51178, 51491, 51534, 51093, 51480, 51395, 51253, 50799, 61979, 50905, 53542, 51121, 52698, 51199, 52194, 51312, 53397, 51267, 53623, 50905, 52316, 51121, 51491, 51199, 51093, 51312, 51395, 51267, 50426, 56760, 52015, 53542, 50901, 51702, 50905, 54006, 51448, 53599, 52015, 52316, 50901, 51154, 50905, 51488, 51448, 50432, 52339, 51233, 52698, 50987, 51638, 51233, 51491, 58346, 51947, 50845, 52377, 51481, 51299, 50845, 51375, 51481, 50444, 52339, 50845, 52698, 50974, 51638, 50845, 51491, 56697, 53542, 51423, 51702, 51542, 54006, 51381, 52316, 51423, 51154, 51542, 51488, 51381, 50799, 61979, 51576, 53542, 51363, 53623, 51576, 52316, 51363, 50420, 52377, 51337, 51375, 51337, 50426, 56760, 50892, 51702, 52011, 52377, 51961, 54006, 51318, 53599, 50892, 51154, 52011, 51375, 51961, 51488, 51318, 50432, 53542, 50955, 52316, 59577, 53456, 50840, 51887, 54400, 56760, 50810, 51702, 50955, 52377, 51043, 53599, 50810, 69363, 51375, 65029, 61979, 50955, 53542, 50977, 52377, 52441, 52194, 51381, 53397, 51318, 53623, 50955, 52316, 50977, 51375, 52441, 51093, 51381, 51395, 51318, 50456, 54461, 50810, 52481, 50810, 50799, 54864, 50844, 52143, 54351, 61979, 50810, 52377, 51101, 53623, 50810, 51375, 67175, 50708, 50281, 50844, 56760, 50855, 54006, 51480, 53192, 50915, 59472, 50844, 53599, 50855, 51488, 51480, 51201, 57173, 71021, 50854, 54461, 50836, 54480, 50854, 52481, 53574, 59221, 50833, 53456, 50840, 54006, 51642, 53192, 52056, 55504, 50995, 52907, 50833, 51887, 50840, 51488, 51642, 51201, 52056, 51629, 59791, 50708, 50281, 50812, 56760, 50836, 53084, 51006, 59472, 50812, 53599, 50836, 51357, 57299, 71197, 51178, 55870, 51095, 52178, 52188, 55495, 51380, 56476, 50981, 55472, 51178, 53148, 51095, 51165, 52188, 51600, 51380, 51394, 50981, 50799, 71197, 51177, 55870, 51095, 52178, 52378, 54006, 51484, 55495, 51391, 55472, 51177, 53148, 51095, 51165, 52378, 51488, 51484, 51600, 79648, 61979, 51043, 53542, 51255, 52377, 50912, 54006, 50907, 53192, 50937, 53623, 51043, 52316, 51255, 51375, 50912, 51488, 50907, 51201, 57356, 52377, 52034, 54006, 52034, 53192, 51267, 51375, 52034, 51488, 52034, 51201, 51267, 50438, 61979, 50892, 53542, 51121, 53623, 50892, 52316, 65562, 52377, 51470, 54006, 51254, 53192, 51101, 51375, 51470, 51488, 51254, 51201, 65295, 61979, 51233, 53542, 51255, 52698, 52034, 52194, 51852, 53397, 51312, 53623, 51233, 52316, 51255, 51491, 52034, 51093, 51852, 51395, 51312, 50799, 61979, 50978, 53542, 51221, 52698, 51645, 52194, 52034, 53397, 51003, 53623, 50978, 52316, 51221, 51491, 51645, 51093, 52034, 51395, 58299, 56760, 51939, 53542, 51101, 51702, 50838, 54006, 51448, 53599, 51939, 52316, 51101, 51154, 50838, 51488, 51448, 50432, 52339, 50978, 52698, 51277, 51638, 50978, 51491, 70351, 51947, 50845, 52377, 50972, 51299, 50845, 51375, 57997, 52339, 50892, 52698, 51006, 51638, 50892, 51491, 57299, 53542, 51267, 51702, 51480, 54006, 51097, 52316, 51267, 51154, 51480, 51488, 51097, 50799, 61979, 51043, 53542, 51178, 53623, 51043, 52316, 51178, 50420, 52377, 50955, 52194, 50938, 53397, 50940, 51375, 50955, 51093, 50938, 51395, 58216, 71021, 50940, 54461, 50821, 51866, 50938, 54006, 50849, 53397, 51167, 54480, 50940, 52481, 74567, 50938, 51488, 50849, 51395, 65744, 71021, 50800, 54461, 50930, 54480, 50800, 52481, 61023, 51866, 50820, 54006, 50855, 53397, 50890, 51088, 50820, 51488, 50855, 51395, 54957, 56760, 50921, 51866, 50857, 54006, 50812, 53397, 50808, 53599, 50921, 51088, 50857, 51488, 50812, 51395, 52711, 56108, 50830, 51866, 50854, 54006, 50810, 53397, 50940, 52602, 72069, 50854, 51488, 50810, 51395, 58631, 59160, 50940, 51866, 50937, 54006, 50937, 53397, 51192, 52776, 50940, 51088, 50937, 51488, 50937, 51395, 68179, 56108, 50940, 52602, 70143, 51866, 50841, 54006, 50855, 53397, 71247, 50841, 51488, 50855, 51395, 50836, 50799, 59160, 50940, 51866, 50854, 54006, 50833, 53397, 50910, 52776, 50940, 75351, 51488, 50833, 51395, 62714, 59221, 50859, 51866, 50862, 54006, 50812, 53397, 50952, 52907, 50859, 67274, 51488, 50812, 51395, 58798, 71021, 51235, 54461, 51160, 51866, 50833, 54006, 50925, 53397, 50924, 54480, 51235, 52481, 51160, 66589, 51488, 50925, 51395, 57943, 51866, 50844, 54006, 50878, 53397, 51100, 51088, 50844, 51488, 50878, 51395, 64967, 71021, 51235, 54461, 51227, 52377, 50925, 54006, 50959, 53192, 51111, 54480, 51235, 52481, 51227, 51375, 50925, 51488, 50959, 51201, 71492, 51866, 50942, 54006, 50959, 53572, 67583, 50942, 51488, 50959, 51266, 51798, 61979, 50830, 53542, 50821, 52377, 50981, 52194, 51391, 53397, 50914, 53623, 50830, 52316, 50821, 51375, 50981, 51093, 51391, 51395, 56934, 54461, 50821, 52481, 50821, 50799, 53542, 50821, 52316, 53113, 51968, 50859, 52377, 50878, 52194, 50813, 53397, 50924, 51426, 50859, 51375, 50878, 51093, 50813, 51395, 57316, 71021, 50858, 54461, 50858, 51866, 50901, 54006, 50873, 53397, 51167, 54480, 50858, 52481, 50858, 51088, 50901, 51488, 50873, 51395, 65744, 71021, 51033, 54461, 50821, 54480, 51033, 52481, 53660, 54006, 50813, 53397, 50846, 51488, 50813, 51395, 53442, 56760, 50940, 51866, 50844, 54006, 50833, 53397, 50830, 53599, 50940, 51088, 50844, 51488, 50833, 51395, 54630, 56108, 50830, 51866, 50844, 54006, 50878, 53397, 50808, 52602, 72069, 50844, 51488, 50878, 51395, 52741, 61979, 50921, 52377, 51124, 52194, 51025, 53397, 51073, 53623, 50921, 51375, 51124, 51093, 51025, 51395, 51073, 50456, 56108, 51033, 52602, 51033, 50799, 54864, 51033, 52377, 50836, 52194, 50810 ]

[ 0, 713, 17627, 17274, 3495, 2214, 6, 278, 11, 163, 538, 6, 1931, 21683, 10, 32076, 1619, 4780, 149, 63, 15352, 30054, 15229, 4, 20, 32909, 8, 1515, 21305, 483, 5, 169, 6, 2800, 30, 10, 6755, 12547, 6, 2382, 3459, 8669, 6, 8, 10, 11577, 20535, 2810, 4, 590, 10, 20889, 9, 13950, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 20425, 12447, 1001, 2877, 1328, 6, 4246, 10, 16331, 33215, 16739, 9, 381, 6, 274, 10431, 6, 8, 163, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 53028, 50880, 51544, 50886, 51570, 50886, 52320, 50886, 54798, 50905, 52473, 50855, 73293, 51167, 50422, 56177, 55640, 51205, 50905, 52473, 50813, 55308, 50918, 70658, 51205, 50974, 52473, 52800, 51205, 50892, 52473, 50855, 73293, 51215, 52105, 50458, 56177, 50878, 54798, 50905, 52473, 50855, 55308, 51110, 50422, 56177, 57629, 51205, 50905, 52473, 50813, 73293, 50914, 63709, 51205, 50905, 52473, 50813, 55308, 51215, 50446, 56177, 58460, 51205, 50892, 52473, 50855, 73293, 50914, 51931, 57268, 50835, 54798, 50892, 52473, 50855, 73293, 51167, 52148, 74039, 59013, 56177, 50897, 53084, 57629, 51205, 50905, 52473, 50813, 55308, 51103, 54006, 51103, 56270, 51205, 50905, 52473, 52800, 51205, 50905, 52473, 50855, 73293, 50967, 52148, 51178, 51931, 50458, 56177, 50925, 53084, 50942, 54798, 50892, 52473, 50855, 55308, 51095, 54006, 51178, 50422, 56177, 50897, 53084, 57629, 51205, 50905, 52473, 50813, 73293, 50807, 52148, 51003, 70658, 51205, 50905, 52473, 50813, 55308, 51215, 54006, 51194, 50446, 56177, 50925, 53084, 56060, 51205, 50905, 52473, 50855, 73293, 50889, 52148, 51003, 52105, 57268, 50837, 54798, 50905, 52473, 50855, 73293, 51215, 52148, 56937, 56868, 52061, 51167, 50422, 56177, 50878, 53084, 60988, 51641, 53244, 51205, 50905, 52473, 50813, 55308, 51336, 54006, 51103, 52105, 50427, 51744, 74814, 51205, 50905, 52473, 50813, 58837, 51196, 50439, 57929, 69562, 51205, 50892, 52473, 50855, 73293, 50967, 52148, 51178, 52105, 50451, 52061, 51167, 50458, 56177, 50897, 53084, 67419, 51641, 50910, 54798, 51535, 52473, 50855, 54541, 51077, 54006, 51127, 50415, 51744, 51336, 50426, 52646, 51079, 52473, 67049, 52904, 51205, 51749, 52473, 50813, 56117, 51103, 53084, 51127, 50439, 51641, 69562, 52646, 51074, 52473, 50379, 53323, 50870, 54798, 51397, 52473, 50855, 52541, 51127, 53084, 78034, 52264, 63492, 52646, 51079, 52473, 67049, 52904, 51205, 51535, 52473, 50813, 53780, 51127, 52148, 74449, 52314, 69562, 52646, 50972, 52473, 50379, 53323, 50837, 57268, 50835, 53400, 50974, 52159, 51000, 51595, 53933, 57829, 51208, 50952, 51403, 50952, 52828, 58798, 51019, 50974, 52159, 51000, 51595, 50855, 52105, 50427, 51208, 50925, 51403, 50925, 52828, 50925, 56903, 51381, 52159, 51297, 51595, 50886, 53320, 78587, 52155, 58332, 52159, 51128, 51595, 50813, 52202, 50921, 52105, 50458, 52202, 52069, 53400, 51381, 52159, 51000, 51595, 52524, 52159, 51000, 51595, 51559, 53040, 51019, 51381, 52159, 51000, 51595, 52800, 52159, 51000, 51595, 51559, 57029, 51019, 51051, 51224, 50870, 53534, 50838, 51282, 51851, 51495, 70863, 55614, 51385, 50952, 51403, 50952, 52110, 58798, 51011, 50972, 51282, 51128, 51495, 50857, 51471, 50427, 51385, 50910, 51403, 50910, 52110, 56983, 51011, 51679, 51282, 51297, 51495, 50813, 54027, 78587, 53320, 55620, 51282, 51128, 51495, 50813, 52155, 50901, 51931, 50458, 52155, 69561, 50829, 53534, 51381, 51282, 51128, 51495, 53309, 53087, 51282, 51297, 51495, 50857, 52155, 50910, 52105, 50434, 53320, 56509, 51011, 51381, 51282, 51128, 51495, 58171, 54027, 53562, 51282, 50941, 51495, 50855, 52105, 50458, 51011, 51051, 51224, 50837, 53400, 50974, 52159, 51000, 51595, 70863, 55614, 51208, 50940, 51403, 50940, 52828, 58216, 51019, 50974, 52159, 51128, 51595, 50886, 52105, 50427, 51208, 50897, 51403, 50897, 52828, 56057, 51019, 51679, 52159, 51297, 51595, 50855, 54120, 51215, 50446, 54027, 58332, 52159, 51000, 51595, 50857, 53320, 50959, 52105, 50458, 53320, 51391, 50801, 50829, 53400, 51961, 52159, 51128, 51595, 53309, 53087, 52159, 51000, 51595, 50886, 53320, 50879, 51931, 56903, 51679, 52159, 50941, 51595, 50813, 54027, 51215, 50446, 54120, 55125, 52159, 51000, 51595, 50886, 51931, 50458, 51019, 51365, 65938, 52919, 54798, 50901, 52473, 50941, 51595, 52524, 51205, 50892, 52473, 50941, 51595, 50813, 56270, 51205, 50838, 52473, 51128, 51595, 52800, 51205, 50974, 52473, 51000, 51595, 50886, 51931, 54798, 50905, 52473, 51000, 51595, 52524, 51205, 50901, 52473, 51000, 51595, 51559, 52950, 51205, 50901, 52473, 51000, 51595, 60812, 53344, 58248, 51205, 50905, 52473, 50941, 51595, 50857, 52105, 50458, 53344, 50955, 51224, 50870, 53400, 50974, 52159, 50912, 51595, 50800, 52541, 51717, 52377, 52337, 51224, 55614, 51208, 50952, 51403, 50952, 52828, 50952, 52298, 51717, 50426, 51019, 50974, 52159, 50912, 51595, 51049, 56344, 51208, 50925, 51403, 50925, 52828, 50925, 56903, 51381, 52159, 51123, 51595, 50810, 53320, 75577, 52155, 56060, 52159, 50907, 51595, 50812, 52202, 50849, 52105, 50458, 52202, 51591, 50801, 50829, 53400, 51381, 52159, 50912, 51595, 53097, 53087, 52159, 50912, 51595, 51420, 53040, 51019, 51381, 52159, 50912, 51595, 52848, 52159, 50912, 51595, 51420, 57029, 51019, 51051, 51224, 50837, 53534, 50838, 51282, 51022, 51495, 50812, 52196, 52149, 52148, 52337, 51224, 55614, 51385, 50952, 51403, 50952, 52110, 50952, 52061, 51717, 50426, 51011, 50972, 51282, 50907, 51495, 50854, 51471, 50427, 51385, 50910, 51403, 50910, 52110, 56983, 51011, 51679, 51282, 51123, 51495, 50812, 54027, 78587, 53320, 58248, 51282, 50907, 51495, 50812, 52155, 50897, 51931, 50458, 52155, 69561, 50829, 53534, 51381, 51282, 50907, 51495, 53097, 53087, 51282, 51123, 51495, 50854, 52155, 50849, 52105, 50434, 53320, 56509, 51011, 51381, 51282, 50907, 51495, 61094, 54027, 72326, 69211, 51495, 51049, 58472, 51011, 51051, 51224, 50837, 53400, 50974, 52159, 50912, 51595, 50812, 52541, 51717, 52377, 52829, 51224, 55614, 51208, 50940, 51403, 50940, 52828, 50940, 52298, 51717, 50426, 51019, 50974, 52159, 50907, 51595, 51373, 56344, 51208, 50897, 51403, 50897, 52828, 56057, 51019, 51679, 52159, 51123, 51595, 50800, 54120, 51215, 50446, 54027, 58248, 52159, 50912, 51595, 50854, 53320, 50905, 52105, 50458, 53320, 58435, 50829, 53400, 51961, 52159, 50907, 51595, 53097, 53087, 52159, 50912, 51595, 50810, 53320, 51233, 51931, 56903, 51679, 52159, 50827, 51595, 50812, 54027, 55441, 52159, 50912, 51595, 50810, 54120, 50892, 51931, 50458, 51019, 51365, 54027, 53753, 50801, 50825, 54798, 50901, 52473, 50827, 51595, 50812, 53780, 52121, 52698, 51801, 50801, 53855, 51205, 50892, 52473, 50827, 51595, 53097, 51239, 52766, 51205, 50838, 52473, 50907, 51595, 53097, 53533, 51205, 50974, 52473, 50912, 51595, 53095, 78796, 54798, 50959, 52473, 50912, 51595, 53097, 60170, 51205, 57630, 51011, 50995, 52473, 50912, 51595, 53097, 51239, 52950, 51325, 51233, 52473, 50912, 51595, 54312, 59484, 51213, 60333, 51205, 51233, 52473, 50827, 51595, 54312, 51187, 58472, 51228, 50959, 53400, 51333, 52033, 52096, 52255, 52121, 52187, 52250, 64234, 53237, 64565, 51089, 51112, 51281, 51112, 51208, 68586, 51817, 52011, 51281, 51226, 51208, 51362, 52202, 54300, 50903, 52942, 53237, 68713, 51089, 51025, 51281, 51025, 51208, 51025, 56903, 51079, 64234, 53390, 64481, 51089, 51377, 51281, 51377, 51208, 51377, 50446, 51019, 52179, 50801, 53528, 51595, 55514, 51817, 52482, 51281, 51362, 51208, 51294, 50903, 52942, 53390, 65392, 51089, 51400, 51281, 51400, 51208, 51400, 50458, 51019, 51365, 50801, 56046, 51595, 50933, 53400, 52025, 64234, 53237, 64565, 51089, 51025, 51281, 51025, 51208, 58193, 51817, 52397, 51281, 51294, 51208, 51294, 50903, 52942, 53237, 68713, 51089, 51576, 51281, 51576, 51208, 51576, 56903, 51166, 64234 ]

[ 0, 250, 19448, 8, 11653, 1365, 6288, 5175, 2214, 4246, 10, 13305, 483, 7513, 30, 18558, 10, 25118, 6, 3459, 8669, 6, 21072, 6, 8, 3459, 9590, 4, 85, 34, 10, 2365, 8, 33558, 619, 6, 10686, 13, 1619, 4, 20, 1349, 16, 11, 274, 538, 6, 34, 10, 7212, 20889, 9, 6560, 741, 1685, 6, 8, 16, 11, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 53596, 52149, 50801, 66990, 51234, 51310, 50899, 51627, 50871, 51637, 50902, 51397, 51436, 51486, 54099, 51801, 52123, 52337, 51783, 52204, 51722, 52096, 50415, 51262, 51714, 51543, 51452, 53075, 51745, 51414, 51653, 51457, 51653, 51825, 51653, 50417, 51383, 50367, 54395, 66817, 72006, 53327, 61918, 57798, 50812, 52447, 50865, 51414, 50950, 51457, 50950, 51825, 50950, 51302, 67020, 65355, 50427, 51414, 51653, 51457, 51653, 51825, 51505, 50429, 51383, 50367, 54395, 62382, 61918, 55641, 50812, 51247, 51241, 52447, 51346, 50435, 51383, 65355, 51414, 50950, 51457, 50950, 51825, 50950, 53550, 74931, 72006, 50439, 51414, 51237, 51457, 51237, 51825, 51237, 50441, 51383, 65355, 50444, 51383, 72006, 50902, 51124, 52612, 61918, 55641, 50812, 52447, 55758, 51383, 50365, 52080, 50451, 56698, 51745, 51457, 51237, 51825, 51745, 52932, 51237, 50453, 51383, 50367, 54395, 56871, 61918, 54167, 52447, 59934, 51383, 50367, 54395, 52447, 51126, 51755, 66990, 50906, 51448, 50902, 51397, 51081, 51417, 52447, 77921, 53075, 53174, 51327, 51237, 51980, 51237, 53001, 51745, 50417, 51383, 50367, 54395, 50871, 51637, 66817, 72006, 53327, 61918, 57798, 50812, 52447, 61408, 67020, 65355, 50427, 51651, 51237, 51327, 51237, 51980, 51237, 50429, 51383, 50367, 54395, 62382, 61918, 55641, 50812, 52447, 62369, 51383, 65355, 53550, 74931, 72006, 50439, 51687, 51237, 51651, 51237, 51327, 51237, 50441, 51383, 65355, 50444, 51383, 72006, 50902, 51734, 50330, 51112, 52612, 61918, 55641, 50812, 52447, 57006, 51383, 50365, 52080, 50451, 56698, 51745, 51476, 51745, 51687, 51745, 51651, 51237, 50453, 51383, 50367, 54395, 51081, 52863, 50804, 61918, 54167, 52447, 56249, 51383, 50367, 54395, 52447, 50810, 53596, 52149, 50801, 66990, 50876, 51283, 50902, 51295, 51234, 53454, 50906, 51283, 50931, 51397, 52447, 51242, 54099, 51801, 52123, 52337, 51783, 52204, 51722, 52096, 50415, 53075, 53174, 51672, 51237, 51457, 51237, 51981, 51745, 50417, 51383, 50367, 54395, 66817, 72006, 53327, 61918, 57798, 50812, 51050, 52644, 52447, 50830, 51302, 67020, 65355, 50427, 51231, 51237, 51672, 51237, 51457, 51745, 50429, 51383, 50367, 54395, 62382, 61918, 55641, 75161, 53380, 52447, 51346, 50435, 51383, 65355, 53550, 74931, 72006, 50439, 51410, 51237, 51231, 51237, 51672, 51745, 50441, 51383, 65355, 50444, 51383, 72006, 50445, 50931, 51194, 52612, 61918, 55641, 50812, 52447, 55758, 51383, 50365, 52080, 50451, 56698, 51237, 52571, 51237, 51410, 51237, 51231, 51237, 50453, 51383, 50367, 54395, 51081, 54319, 50804, 61918, 54167, 52447, 59934, 51383, 50367, 54395, 52447, 50941, 51755, 66990, 51081, 51538, 51146, 51486, 52447, 50901, 50415, 51339, 51518, 51062, 51591, 56698, 52379, 53075, 52379, 51687, 51237, 51231, 51237, 51327, 51745, 50417, 51383, 50367, 54395, 66817, 72006, 53327, 61918, 57798, 50812, 52447, 61408, 67020, 65355, 50427, 52326, 51505, 51687, 51932, 51231, 51237, 50429, 51383, 50367, 54395, 62382, 61918, 55641, 50812, 52447, 50807, 50433, 52303, 75828, 51383, 65355, 53550, 65442, 72006, 50439, 52571, 51237, 51687, 51237, 51651, 51237, 50441, 51383, 65355, 54141, 67713, 72006, 50447, 51270, 55641, 50812, 52447, 50844, 51382, 67713, 50365, 52080, 51146, 51025, 52447, 64847, 51476, 51237, 51687, 51237, 51249, 51237, 53061, 67020, 50367, 54395, 51081, 51043, 52447, 52863, 50804, 68671, 54167, 52447, 50840, 52198, 67020, 50367, 54395, 52447, 50810, 54516, 52500, 51976, 55456, 75161, 51307, 50899, 51307, 50871, 51353, 50906, 51264, 51436, 51991, 78744, 51449, 52123, 51445, 51783, 51445, 51722, 51151, 51612, 51307, 52037, 51293, 50415, 51262, 51945, 51543, 51359, 55285, 51745, 51414, 52379, 50416, 51630, 51945, 54519, 74931, 50372, 52492, 66817, 50372, 52492, 53327, 58848, 63033, 52447, 50924, 51768, 53497, 65442, 59210, 50427, 51410, 51237, 51303, 51237, 50429, 51383, 50372, 52492, 53782, 51907, 68671, 53189, 50822, 52447, 51112, 50435, 51383, 59210, 51658, 51907, 65442, 50372, 52492, 50439, 56698, 51745, 50441, 51383, 59210, 50444, 51383, 50372, 52492, 52612, 68671, 63033, 52447, 57415, 50801, 55023, 66217, 59210, 50451, 51410, 51745, 51303, 51745, 50453, 51383, 50372, 52492, 50456, 50945, 53119, 68671, 50377, 52492, 52447, 57187, 51186, 50378, 52492, 52447, 50971, 55563, 52536, 50801, 52153, 72528, 51115, 50956, 51115, 52046, 60556, 50983, 52007, 51233, 50703, 50288, 51449, 52679, 51445, 52623, 51445, 51986, 51151, 51567, 51307, 52184, 51293, 50415, 51503, 51480, 55285, 51653, 51476, 51653, 51687, 51653, 51651, 51653, 54519, 50371, 52638, 73341, 51039, 67713, 73341, 53327, 50374, 51937, 55355, 50822, 55821, 50924, 51476, 50950, 51687, 50950, 51651, 50950, 79548, 50833, 75273, 50371, 52492, 51476, 51653, 51687, 51653, 50427, 51651, 74514, 51383, 73341, 50432, 52219, 51002, 50833, 51340, 51937, 56474, 50822, 55821, 62803, 51383, 50371, 52492, 51476, 50950, 51687, 50950, 51651, 50950, 51658, 53474, 50810, 75273, 73341, 55821, 51221, 50439, 56698, 51745, 51476, 51237, 51687, 51237, 51651, 51237, 50441, 51383, 50371, 52492, 51180, 67713, 73341, 50965, 51603, 52612, 74411, 50376, 52492, 52191, 57415, 52219, 51002, 56823, 60322, 58290, 65442, 67224, 67447, 51687, 51745, 51651, 51745, 51327, 51745, 53061, 67020, 73341, 52191, 53920, 51105, 54617, 50833, 51340, 51937, 50379, 52492, 52007, 56132, 51105, 52501, 50907, 52191, 50857, 54516, 52500, 51976, 50858, 51234, 51397, 50899, 51413, 50906, 51448, 51436, 51307, 78744, 51449, 52123, 51445, 51783, 51445, 51722, 51151, 51612, 51307, 52037, 51293, 65882, 51417, 50902, 51472, 51262, 51353, 51543, 51307, 55285, 51745, 51414, 52379, 50416, 51630, 51036, 54519, 50371, 52638, 73341, 51039, 67713, 73341, 53327, 50374, 51937, 55355, 50822, 52447, 50830, 51302, 50833, 75273, 50371, 52492, 50427, 51410, 51745, 51303, 51745, 50429, 51383, 73341, 53782, 51907, 50833, 51340, 51937, 56474, 50822, 52447, 71700, 51383, 50371, 52492, 51658, 51907, 50833, 75273, 73341, 50439, 56698, 51745, 50441, 51383, 50371, 52492, 51180, 67713, 73341, 50902, 51215, 52612, 74411, 55355, 53140, 50801, 55023, 50950, 75273, 50371, 52492, 50906, 51158, 50451, 51410, 51745, 51303, 51745, 50453, 51383, 73341, 50456, 50945, 53119, 50833, 51340, 51937, 50379, 52492, 50871, 54678, 51186, 50378, 52492, 51425, 50862, 55563, 52500, 50801, 75940, 52046, 51307, 51503, 51353, 50900, 51151, 50965, 51655, 55821, 51212, 50703, 50288, 51449, 52679, 51445, 52623, 51445, 51986, 51151, 51567, 51307, 52184, 51293, 76301, 51655, 55285, 51505, 51687, 51653, 51651, 51653, 51327, 51653, 50417, 51383, 73341, 51039, 67713, 73341, 53327, 50374, 51937, 55355, 50822, 55821, 50924, 51687, 50950, 51651, 50950, 51327, 50950, 79548, 50833, 75273, 50371, 52492, 50427, 51687, 51653, 51651, 51505, 51327, 51653, 50429, 51383, 73341, 50432, 52219, 51002, 50833, 51340, 51937, 56474, 50822, 55821, 51112, 50435, 51383, 50371, 52492, 51687, 50950, 51651, 50950, 51327, 50950, 51658, 53474, 50810, 75273, 73341, 50439, 56698, 51745, 51687, 51745, 51651, 51237, 51327, 51237, 50441, 51383, 50371, 52492, 51180, 67713, 73341, 52612, 74411, 50376, 52492, 55821, 57415, 52219, 51002, 56823, 60322, 58290, 65442, 67224, 67447, 51651, 51237, 51327, 51237, 51980 ]

[ 0, 4688, 17627, 17274, 5175, 3495, 2214, 4246, 10, 13305, 483, 7513, 30, 21979, 8669, 6, 3459, 9590, 6, 21072, 6, 8, 10, 6755, 12547, 4, 590, 10, 1769, 20889, 9, 17072, 163, 5683, 8, 278, 11, 5, 762, 9, 83, 3694, 6, 5, 2214, 29769, 198, 5, 1918, 8, 3676, 40286, 6, 19983, 1328, 5, 2125, 4, 20, 15352, 30054, 15229, 7630, 6568, 10, 33558, 8, 11653, 6711, 6, 442, 24, 10686, 13, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50796, 50799, 52013, 52329, 52013, 52444, 51088, 68267, 50976, 63615, 50847, 50824, 51439, 53694, 54952, 51113, 50860, 51284, 50802, 51011, 61182, 51029, 51649, 57520, 52175, 51088, 50976, 51182, 50860, 63615, 50847, 50824, 51439, 53694, 54712, 51251, 50860, 51107, 60589, 50976, 50848, 67276, 55877, 50802, 70564, 52737, 51186, 65240, 51732, 51863, 53073, 51838, 51717, 52036, 51732, 50415, 51271, 75816, 51732, 50906, 51732, 50848, 64443, 63073, 65413, 50805, 51257, 61940, 57639, 54892, 79840, 50872, 50976, 50939, 51379, 50421, 50852, 56667, 51037, 51907, 51739, 54151, 51186, 59299, 61604, 65983, 57169, 51156, 54968, 51186, 67550, 53243, 51052, 57736, 51186, 50976, 50848, 57045, 57833, 51331, 55245, 51037, 52997, 51739, 56354, 51186, 50824, 75061, 59978, 53417, 50949, 62870, 53558, 51156, 57188, 51186, 56304, 51060, 50872, 51192, 50939, 51060, 61797, 56667, 51037, 52997, 51739, 55736, 51186, 63690, 61604, 62507, 69988, 59284, 54968, 51182, 50802, 51926, 60011, 50860, 51037, 52651, 51156, 57736, 51284, 50976, 52487, 50976, 50445, 51011, 63690, 66307, 58265, 51156, 55245, 51182, 50802, 51926, 50860, 63615, 50451, 50848, 61604, 67217, 51812, 52374, 56354, 51107, 50976, 51384, 50802, 55952, 51037, 50830, 51224, 67239, 50852, 50949, 70564, 52737, 51690, 52737, 50927, 53177, 50306, 51732, 51743, 51732, 51656, 53501, 65882, 51732, 50877, 60130, 50872, 56754, 50961, 51007, 54441, 50898, 54892, 76067, 50850, 51286, 51007, 58415, 56667, 50848, 54627, 51739, 55736, 50927, 55868, 56263, 64579, 55855, 51156, 54968, 62664, 50848, 55024, 51156, 57736, 51019, 50975, 50872, 53006, 50924, 51007, 52964, 55245, 50848, 54092, 51739, 56354, 63167, 50872, 56678, 58691, 51007, 51370, 50949, 52354, 63690, 55024, 51156, 57188, 78345, 50872, 56244, 50802, 51007, 51575, 55229, 50848, 54092, 51739, 55736, 62890, 50872, 51158, 50850, 51388, 51007, 51158, 59284, 54968, 51182, 50976, 51926, 50976, 63615, 50848, 54441, 51052, 57736, 51284, 50976, 52487, 50976, 63616, 50872, 64960, 78132, 61189, 50791, 56604, 51182, 50976, 51926, 50860, 63615, 50872, 50806, 50451, 50850, 51021, 51007, 55020, 52374, 56354, 51107, 50976, 51384, 50976, 55952, 50848, 76336, 50852, 50949, 70564, 52737, 51690, 52737, 51186, 50824, 51881, 53002, 51863, 52570, 50415, 50906, 51732, 50902, 51732, 50931, 51732, 50848, 61671, 62690, 55461, 50898, 54892, 50848, 51060, 50872, 51060, 50939, 50976, 61797, 55229, 51037, 52467, 52374, 55736, 51186, 50860, 59379, 50872, 50936, 76789, 50433, 59284, 54968, 51186, 50823, 51037, 53672, 51156, 57736, 51186, 50976, 59379, 50872, 51021, 50939, 56832, 55245, 51037, 53497, 51739, 56354, 51186, 58173, 50865, 50872, 50921, 50939, 53538, 50949, 62870, 54452, 51156, 57188, 51186, 50976, 50848, 75647, 50936, 50939, 56832, 55229, 51037, 54092, 52374, 55736, 51186, 67072, 57045, 62507, 56795, 51156, 54968, 51182, 50860, 51926, 50860, 63615, 51037, 55024, 59071, 50791, 57736, 51284, 50976, 52487, 50976, 63616, 50848, 64733, 50872, 58243, 67131, 51421, 55245, 51182, 50975, 51926, 50860, 50953, 63690, 75647, 51030, 50939, 50924, 57688, 52374, 56354, 51107, 50802, 51384, 50976, 55952, 51037, 68024, 50962, 70564, 51184, 51690, 51184, 62644, 51656, 73010, 51120, 51184, 51027, 51184, 50899, 51184, 50871, 51184, 50872, 59588, 79368, 52773, 51156, 54892, 50872, 53006, 50936, 51007, 52964, 56667, 51096, 60660, 51907, 52374, 55736, 50927, 55868, 50830, 57263, 51007, 55236, 51156, 50962, 53758, 58173, 53703, 51156, 57736, 50872, 62663, 51021, 51007, 53538, 56604, 50848, 51779, 52374, 62172, 50927, 54622, 51026, 51449, 50868, 52500, 50847, 52392, 50909, 52392, 50457, 50791, 57841, 50900, 51605, 73296, 51795, 51733, 51795, 50964, 51184, 52033, 51264, 51615, 51696, 51711, 51714, 50415, 51085, 53142, 50916, 51795, 50885, 51518, 59284, 50962, 52906, 50962, 51302, 51739, 50949, 53782, 72064, 50811, 51382, 50894, 52288, 53531, 50301, 51732, 50899, 51732, 50871, 51732, 51881, 52204, 51656, 52204, 51838, 52204, 52036, 52204, 76750, 59080, 74779, 52750, 52885, 54892, 50872, 50976, 79491, 51007, 54589, 55229, 77040, 51997, 51907, 51739, 54151, 50927, 50854, 50872, 50976, 79491, 51007, 50976, 58074, 64821, 50949, 53758, 51016, 50848, 50803, 51707, 52218, 57512, 50791, 54586, 50872, 50976, 50850, 50802, 51007, 50976, 51997, 51049, 55245, 50848, 51779, 51739, 54210, 62816, 50872, 50976, 79491, 51007, 50976, 51997, 51421, 50949, 57342, 50823, 51479, 54892, 50927, 54891, 50976, 79491, 51007, 54589, 55229, 50848, 50803, 51997, 51907, 52374, 54151, 68755, 50872, 50976, 50850, 50802, 51007, 59786, 51479, 50949, 53758, 51016, 50848, 50802, 51707, 50830, 51479, 54586, 57386, 57263, 63921, 51997, 51049, 55245, 50872, 50976, 79491, 51007, 57432, 50894, 61695, 54210, 61674, 50848, 50803, 51997, 52227, 50949, 53534, 66822, 51732, 50916, 51732, 53389, 52204, 51711, 50837, 52225, 52204, 50868, 58320, 50850, 64622, 52750, 50898, 54892, 50868, 50975, 79491, 77924, 51707, 51421, 55229, 51011, 50949, 50946, 50803, 51997, 50830, 57773, 52374, 54151, 51011, 58581, 56491, 50860, 50909, 59786, 51479, 54968, 51011, 62988, 50803, 51707, 50830, 51479, 54586, 50868, 50976, 79491, 77924, 51997, 51049, 55245, 51011, 66352, 52865, 51739, 54210, 51011, 62711, 50976, 79491, 77924, 51997, 51049, 50949, 57377, 52651, 50898, 54892, 51011, 56781, 50976, 79491, 50909, 50802, 51707, 51421, 55229, 51011, 60772, 50823, 51997, 53661, 51739, 54151, 50868, 50976, 79491, 77924, 51479, 54968, 70049, 52033, 51314, 50946, 50823, 51707, 55900, 51479, 54586, 50868, 59080, 64622, 50811, 51997, 51370, 51130, 55245, 50868, 50975, 68130, 50909, 60406, 51739, 54210, 51011, 62694, 53547, 50949, 52288, 51059, 51027, 51732, 50899, 51732, 51881, 53849, 51743, 51449, 51656, 56235, 65882, 51732, 51838, 52204, 50872, 59080, 74779, 52651, 50898, 54892, 50872, 50976, 50850, 50802, 72206, 51707, 51049, 55229, 50848, 50803, 51997, 51907, 51739, 54151, 50927, 63673, 50976, 50850, 50802, 51007, 59786, 51479, 50949, 53758, 58173, 50803, 51707, 52218, 57512, 50791, 51130, 54586, 50872, 50976, 79491, 51007, 50976, 51997, 52744, 55245, 50848, 51779, 51739, 54210, 50927, 56674, 50976, 79491, 51007, 50976, 50457, 51997, 51049, 50949, 57342, 52651, 50898, 54892, 55952, 51743, 51314, 50872, 50976, 79491, 51007, 50976, 50421, 51707, 51421, 55229, 50848, 50811, 51997, 53661, 51739, 54151, 78770, 66882, 68130, 51007, 50993, 51479, 50949, 53758, 50824, 51881, 52140, 50848, 50811, 51707, 55900, 51479, 54586, 50872, 59080, 74779, 50811, 51997, 52744, 55245, 51656, 52204, 50872, 50975, 76580, 51007, 50993, 57688, 52374, 54210, 64319, 50848, 51052, 50949, 53534, 66822, 51732, 50916, 51732, 53389, 52204, 51711, 57610, 50868, 59080, 64622, 52750, 50898, 54892, 50868, 50976, 79491, 77924, 51707, 51049, 55229, 50946, 50803, 51997, 51907, 50894, 62579, 54151, 51011, 51010, 50868, 50976, 79491, 77924, 50433, 51479, 54968, 51011, 62988, 50803, 51707, 52218, 50898, 54586, 50868, 56491, 66047, 51997, 66353, 50791, 55245, 50946, 51779, 51739, 54210, 51011, 66306, 50976, 79491, 77924, 51997, 59747, 51479, 50949, 57377, 51052, 54892, 51011, 56781, 56491, 66047, 51707, 61291, 51479, 55229, 50946, 50823, 51997, 51907, 52374, 54151, 51011, 58581, 50976, 79491, 77924, 50433, 51479 ]

[ 0, 4688, 9066, 5175, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 10, 6755, 12547, 6, 18558, 6, 8, 30587, 8669, 4, 20, 2125, 16, 278, 11, 381, 3694, 6, 19, 10, 20889, 9, 15966, 163, 5683, 36, 7083, 4308, 1001, 43, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 16331, 33215, 16739, 9, 3676, 6, 272, 6, 3676, 6, 230, 6, 8, 211, 3639, 7, 5, 2214, 18, 2933, 6, 15352, 30054, 6, 8, 20425, 5466, 6, 2351, 41, 11653, 8, 13363, 28191, 6288, 676, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 50799, 53441, 57290, 52944, 53378, 53172, 53378, 57290, 53031, 51584, 51573, 53441, 53264, 53378, 57290, 53114, 53378, 53562, 53441, 57290, 53217, 51584, 51090, 53378, 50845, 50799, 53441, 57290, 52944, 53378, 53172, 53493, 51427, 53441, 57290, 53031, 51584, 51745, 53378, 53264, 53625, 51160, 53378, 57290, 53114, 53441, 53562, 52380, 50849, 53378, 57290, 53217, 52172, 50918, 51584, 51016, 53378, 50845, 50799, 53441, 57290, 50825, 51296, 53073, 51278, 53073, 51046, 52570, 50420, 53378, 53172, 53378, 57290, 53031, 51584, 51573, 53441, 53264, 53378, 57290, 53114, 53378, 53562, 53441, 57290, 53217, 51584, 51090, 53378, 50845, 50799, 53441, 57290, 52944, 53378, 53172, 53441, 57290, 53031, 51584, 51745, 53378, 53264, 53378, 57290, 53114, 53441, 53562, 53378, 57290, 53217, 51584, 51016, 53378, 50845, 53534, 51033, 52091, 56300, 51701, 56094, 51716, 53520, 57237, 50940, 55010, 50921, 54391, 50940, 71329, 50839, 51296, 50858, 51278, 50882, 64508, 51278, 50897, 70905, 51143, 61555, 66486, 57237, 50830, 55010, 50940, 54391, 58474, 50908, 54737, 73784, 53443, 70905, 51278, 50938, 51143, 56412, 51011, 62851, 53934, 50834, 57686, 51278, 50821, 51046, 67803, 51584, 64919, 51011, 50882, 57237, 50830, 55010, 50940, 54391, 55220, 50891, 57686, 51278, 50859, 53443, 51278, 50897, 74316, 51143, 56282, 51011, 50858, 57237, 50952, 55010, 50921, 54391, 50830, 63087, 50834, 57686, 80070, 60677, 51278, 50897, 70905, 51143, 60204, 51011, 50858, 57237, 50830, 55010, 50940, 54391, 55220, 50837, 68135, 54737, 80070, 70905, 51143, 50830, 51278, 55758, 51011, 55976, 52493, 50834, 57686, 51278, 50821, 51046, 51754, 51011, 50882, 51584, 51016, 57237, 50952, 55010, 50921, 54391, 63779, 50891, 68135, 57686, 80070, 53534, 50858, 57237, 50830, 55010, 50952, 54391, 50910, 63087, 50820, 51296, 50858, 51278, 50882, 64508, 51278, 50910, 70905, 51143, 61555, 73252, 57237, 50940, 55010, 50940, 54391, 57882, 50908, 57686, 80070, 60677, 51278, 50910, 70905, 51143, 54919, 51011, 54301, 52493, 50834, 57686, 51278, 50821, 51046, 51628, 51011, 50858, 51584, 51294, 57237, 50952, 55010, 50921, 54391, 58474, 50891, 68135, 51296, 50859, 73784, 51278, 50897, 74316, 51143, 56983, 51011, 50940, 57237, 50952, 55010, 50940, 54391, 50830, 58596, 50834, 57686, 51278, 50812, 80070, 53443, 60677, 51143, 51820, 50953, 51033, 52016, 51343, 51678, 51496, 52252, 50983, 55546, 50940, 54602, 50940, 57255, 55220, 50863, 51942, 50858, 51155, 50858, 69050, 51155, 50952, 51063, 50940, 51329, 57415, 50953, 55508, 53347, 50834, 51942, 50821, 51155, 50858, 51063, 51754, 74511, 51584, 51226, 50852, 50891, 51155, 50890, 51942, 50821, 53713, 54272, 51033, 52091, 55428, 51678, 56300, 51716, 54834, 54602, 50940, 54391, 50940, 56968, 50830, 63087, 50829, 51386, 50858, 51063, 50821, 51278, 50925, 76802, 51143, 50897, 51143, 63817, 51133, 50940, 54602, 50910, 54391, 50940, 56968, 58474, 50891, 55542, 67112, 69050, 51143, 50812, 51278, 50910, 51143, 55640, 51133, 59557, 53708, 50829, 51386, 50859, 51063, 50821, 51143, 51628, 51133, 50859, 51584, 51013, 54602, 50940, 54391, 50921, 56968, 58474, 50908, 51386, 50812, 51278, 50833, 67699, 56161, 76802, 51143, 56057, 51133, 50858, 54602, 50830, 54391, 50940, 56968, 50830, 63087, 50834, 51386, 50859, 67699, 57760, 51278, 50925, 65474, 51143, 58937, 51133, 50858, 54602, 50830, 54391, 50940, 56968, 55220, 50870, 51063, 50821, 57760, 51386, 50952, 51278, 50925, 65474, 51143, 57006, 51133, 54301, 53934, 50834, 55542, 51063, 50882, 51143, 51754, 51133, 50821, 51584, 51016, 54602, 50830, 54391, 50940, 56968, 55220, 50908, 55542, 51278, 50854, 53713, 67699, 51143, 50812, 51143, 50910, 54272, 50858, 54602, 50952, 54391, 50921, 56968, 50952, 58596, 50835, 51386, 50800, 53713, 67699, 56161, 51278, 50925, 51143, 60724, 51133, 50821, 54602, 50940, 54391, 51033, 56968, 63779, 50908, 51386, 50812, 67699, 56161, 51278, 50897, 65474, 51143, 56382, 51133, 55976, 53934, 50829, 55542, 67699, 51143, 52559, 51133, 50821, 51584, 51055, 54602, 50830, 54391, 50940, 56968, 58474, 50891, 55542, 67112, 67699, 57760, 51278, 50910, 51143, 56057, 51133, 51030, 54602, 50940, 54391, 50921, 56968, 50940, 58596, 50829, 51143, 50836, 69050, 69050, 51386, 50952, 51278, 50910, 51143, 58937, 51415, 50882, 52016, 51343, 51678, 51496, 52252, 51141, 54602, 50910, 57255, 50910, 54304, 58474, 50891, 51778, 50859, 51063, 50821, 73502, 51155, 50910, 51063, 50925, 51329, 56060, 51271, 51033, 54602, 50897, 57255, 50942, 54304, 53373, 53934, 50834, 51778, 50800, 51063, 50882, 51329, 52955, 51415, 50924, 54602, 50830, 57255, 50910, 54304, 50921, 58596, 50837, 51778, 50858, 51063, 50821, 51329, 50812, 53534, 50940, 52091, 54153, 51701, 54834, 51716, 53520, 57237, 50940, 55010, 50921, 54391, 50830, 53494, 51013, 57037, 50932, 67779, 50378, 79052, 50928, 51296, 50821, 51278, 50821, 51046, 50859, 64508, 51278, 50830, 51143, 62714, 51011, 50952, 57237, 50830, 55010, 50940, 54391, 55220, 50370, 79052, 50928, 51296, 50809, 80070, 60677, 60677, 51278, 50897, 51143, 56382, 51011, 50858, 54776, 51111, 55205, 51328, 50816, 53934, 50375, 79052, 50928, 51296, 50858, 80070, 51046, 51628, 51011, 50858, 57237, 50940, 55010, 51033, 54391, 58474, 50368, 79052, 50928, 51296, 50858, 51278, 50812, 51278, 50821, 60677, 51046, 50897, 51143, 56983, 51011, 50940, 57237, 50830, 55010, 50940, 54391, 50910, 58596, 50375, 79052, 50928, 51296, 50858, 51278, 50844, 51278, 50882, 51046, 50833, 51046, 50859, 51143, 62063, 51011, 50858, 57237, 50830, 55010, 50940, 54391, 55220, 50368, 79052, 50928, 51296, 50858, 51278, 50833, 80070, 51046, 50833, 60677, 51143, 55620, 51011, 60332, 53934, 50375, 79052, 50928, 51296, 50858, 80070, 51046, 54418, 51011, 50940, 57237, 50830, 55010, 50940, 54391, 58474, 50370, 79052, 50928, 51296, 50858, 51278, 60987, 50821, 51046, 50812, 60677, 51143, 50910, 53534, 50952, 57237, 50952, 55010, 50940, 54391, 50830, 63087, 50375, 79052, 50928, 51296, 50821, 51278, 50833, 51278, 50821, 51046, 50812, 60677, 51143, 62714, 51011, 50859, 57237, 50952, 55010, 50940, 54391, 55220, 50369, 79052, 50928, 51296, 50858, 80070, 51046, 50812, 51046, 50812, 51278, 50897, 51143, 56382, 51011, 55508, 53934, 50375, 79052, 50928, 51296, 50858, 51278, 50882, 51046, 53974, 51011, 50858, 57237, 50952, 55010, 50940, 54391, 58474, 50368, 79052, 50928, 57686, 51278, 60987, 50858, 60677, 74316, 51143, 56057, 51011, 51014, 57237, 50910, 55010, 50830, 54391, 50910, 58596, 50375, 79052, 50928, 51296, 50858, 51278, 50854, 80070, 51046, 50812, 64508, 51143, 60204, 74885, 52016, 51343, 51678, 51274, 52252, 51295, 55546, 50940, 54602, 50940, 57255, 55220, 50368, 79052, 50928, 53713, 51942, 50940, 51155, 50830, 51155, 50940, 51063, 50952, 51329, 57006, 50953, 54015, 53934, 50376, 79052, 50928, 51942, 50858, 51155, 50858, 51063, 51754, 50953, 56189, 50368, 79052, 50928, 51942, 62428, 50882, 67112, 54272, 50940, 52091, 54153, 51678, 56736, 51716, 54834, 54602, 50940, 54391, 50921, 56968, 50940, 58596, 50375, 79052, 50928, 51075, 50884, 51386, 50882, 51063, 50882, 51143, 50859, 51278, 50897, 51063, 50952, 51143, 60724, 51133, 50858, 54602, 50830, 54391, 50940, 56968, 58474, 50369, 79052, 50928, 51386, 50858, 51278, 50833, 79455, 50821, 56161, 51143, 56382 ]

[ 0, 4688, 5175, 2214, 19, 10, 177, 12, 3341, 8, 980, 219, 16464, 6, 4246, 30587, 8, 81, 9756, 29589, 6, 38668, 9590, 8, 483, 6, 8, 21072, 4, 85, 18, 278, 11, 230, 3694, 6, 19, 10, 1769, 20889, 9, 19446, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 230, 119, 6, 2060, 6, 163, 428, 6, 230, 119, 6, 8, 2060, 119, 1176, 406, 3639, 7, 5, 15352, 30054, 8, 2829, 2933, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50796, 50799, 52754, 64342, 52754, 55889, 52754, 60022, 54686, 51573, 50456, 53514, 51033, 51182, 51387, 50799, 53514, 51427, 51182, 60823, 53514, 50911, 51182, 54729, 52754, 50921, 51629, 55122, 52754, 51427, 51629, 68390, 53514, 57241, 54636, 50921, 50799, 52754, 55492, 52754, 51603, 50432, 53514, 51388, 50438, 54636, 52692, 52983, 73976, 52983, 51033, 50799, 54636, 51460, 50426, 52983, 51552, 50450, 52556, 51072, 51498, 76868, 51013, 51497, 55113, 53756, 50961, 50799, 52696, 51191, 54097, 51141, 51874, 51343, 53253, 50983, 51498, 51496, 51593, 50983, 52553, 53837, 50820, 51634, 51552, 51143, 51552, 51302, 51135, 56118, 52975, 53190, 51183, 52696, 51591, 53185, 51496, 51839, 51103, 53468, 51077, 52971, 51896, 51348, 51356, 51843, 51551, 51450, 51437, 60218, 53711, 52490, 51192, 61394, 60218, 53563, 51874, 50893, 53824, 50948, 52074, 50805, 51849, 50860, 51511, 50911, 50799, 53015, 51183, 52174, 51103, 52490, 51500, 51593, 51060, 53253, 51060, 52160, 51077, 53804, 60218, 50883, 51143, 51388, 51634, 51388, 50420, 53468, 50893, 51839, 51121, 51843, 51012, 51348, 68907, 52490, 51500, 53824, 51048, 52074, 50914, 51321, 53479, 51135, 50834, 51849, 51454, 51511, 53585, 52696, 51417, 54097, 51562, 51874, 51362, 51497, 50807, 52106, 51016, 51498, 51196, 52902, 60218, 50883, 51222, 51054, 51344, 54145, 51856, 50865, 52856, 55152, 54131, 51135, 50820, 51521, 51021, 51569, 56210, 51874, 50938, 52106, 50938, 51497, 50873, 51344, 50936, 79876, 50799, 53190, 51351, 52696, 51189, 53185, 51294, 51593, 51141, 53253, 51274, 52971, 51364, 52358, 60218, 50883, 51143, 51496, 51634, 51029, 51302, 51135, 60276, 52975, 53015, 51542, 52174, 51241, 52490, 51552, 53468, 51336, 51839, 51077, 52160, 51896, 51843, 51870, 51348, 51551, 51450, 51464, 62449, 53711, 52401, 51173, 61394, 60218, 53563, 52490, 50893, 52074, 50849, 53824, 51060, 51511, 50806, 51849, 51388, 50799, 54097, 51121, 53512, 50937, 52556, 50980, 53253, 51111, 51593, 51095, 52023, 51055, 52358, 56118, 50883, 51634, 51192, 51143, 51379, 50420, 51839, 50812, 53468, 50808, 51348, 50821, 51843, 54007, 52074, 50836, 53824, 50800, 51511, 50821, 51849, 54631, 52696, 51047, 54097, 51127, 51874, 50983, 52106, 50918, 51497, 51623, 51498, 51896, 51321, 53479, 51179, 58888, 50829, 51344, 51527, 51222, 52282, 50438, 51321, 53479, 51135, 53239, 52401, 65249, 53533, 52490, 60089, 53479, 51135, 58888, 53217, 51874, 50800, 50799, 52696, 51307, 54097, 51945, 51874, 51343, 53253, 50983, 51593, 51472, 52971, 51655, 51206, 53852, 51179, 50818, 51634, 51552, 51143, 52512, 51302, 51135, 56118, 52975, 53185, 51496, 51839, 50918, 53468, 51336, 51348, 51551, 51843, 51870, 51450, 51187, 60218, 53711, 52490, 50893, 51321, 53479, 51135, 53173, 51874, 51060, 52074, 50917, 53824, 50805, 51511, 50936, 51849, 50911, 50799, 53015, 51562, 52174, 51127, 52490, 50980, 51593, 51100, 53253, 50967, 52160, 51291, 52615, 51564, 79516, 63113, 51634, 51354, 50420, 51839, 50849, 53468, 51060, 51348, 51192, 51843, 75274, 52490, 51566, 52074, 51003, 53824, 50807, 51321, 53479, 51135, 50834, 51511, 50807, 51849, 61287, 52696, 51397, 54097, 51562, 51874, 51294, 51497, 50807, 52106, 50807, 51498, 50918, 76650, 51464, 50846, 51344, 51054, 51222, 51573, 50450, 51856, 50849, 52856, 50901, 51321, 53479, 51135, 50820, 51521, 50806, 51569, 55416, 51874, 50873, 51497, 50845, 52106, 50845, 55302, 58042, 50799, 53190, 51241, 52696, 51141, 53185, 51541, 53253, 51364, 52971, 51661, 51593, 51446, 52358, 58888, 50846, 51634, 51761, 51143, 52195, 51302, 51135, 52925, 53015, 52644, 52174, 52821, 52490, 57508, 52160, 54454, 51839, 53090, 53468, 75515, 53837, 50846, 51348, 56082, 51843, 55198, 51570, 50834, 51382, 51135, 60218, 50883, 69808, 54162, 77511, 50818, 52389, 53338, 56315, 60276, 51041, 53934, 52600, 69591, 51382, 53934, 53268, 67003, 62147, 50879, 51497, 50977, 50746, 50335, 52625, 57900, 53618, 50961, 51222, 68745, 50746, 50336, 50803, 50746, 50335, 59723, 52401, 51121, 51347, 50933, 50746, 50336, 50949, 51386, 64784, 50746, 50333, 55800, 52490, 50873, 51856, 73715, 53333, 50841, 51521, 51138, 50429, 71858, 52726, 51874, 50901, 51497, 51058, 50746, 50331, 50811, 51222, 51030, 50435, 71858, 60364, 52556, 50890, 52074, 50827, 50746, 50331, 51520, 52493, 50839, 51511, 61618, 71858, 50894, 77177, 52940, 52556, 50911, 52074, 51006, 50746, 50324, 51670, 50883, 51511, 72551, 51874, 50845, 51497, 50987, 63036, 50800, 62206, 50846, 50746, 50324, 52279, 53333, 50841, 51222, 70087, 62206, 56354, 52490, 50805, 51856, 51166, 63036, 50817, 51521, 51138, 50459, 65050, 50817, 62147, 51060, 51497, 50978, 58621, 50962, 60608, 54168, 53333, 50841, 51222, 70844, 65050, 52244, 52401, 50967, 51347, 51328, 58621, 50803, 60608, 50811, 51386, 59573, 60948, 51973, 79026, 51856, 51058, 58065, 52279, 53333, 50839, 51521, 67107, 57677, 55736, 51874, 50845, 51497, 51058, 60948, 50811, 58065, 50803, 51222, 51030, 50435, 57677, 52952, 52556, 50930, 52074, 50827, 66024, 51670, 53333, 50841, 51511, 58909, 65854, 50803, 79049, 57565, 52556, 51158, 52074, 63834, 50895, 51511, 64077, 51874, 51400, 51497, 74741, 53333, 50841, 51222, 50993, 62147, 50879, 51497, 50977, 50746, 50335, 51520, 52586, 50841, 51222, 51505, 50417, 50746, 50336, 50803, 50746, 50335, 52244, 52401, 51095, 51347, 51254, 50746, 50333, 50811, 51386, 64784, 50746, 50331, 51973, 52490, 51158, 51856, 51058, 71858, 51779, 53333, 50841, 51521, 51286, 50429, 77177, 50921, 50746, 50331, 55736, 51874, 50873, 51497, 51058, 71858, 51033, 51222, 51030, 50435, 77177, 56341, 52556, 50930, 52074, 53970, 53347, 50841, 51511, 61618, 50746, 50324, 50930, 62206, 54989, 52556, 50911, 52074, 51174, 63036, 50867, 50746, 50324, 53756, 50895, 51511, 51286, 50447, 50746, 50324, 53083, 51874, 51177, 51497, 50987, 62206, 51010, 63036, 51463, 53333, 50841, 51222, 60345, 52490, 50873, 51856, 51470, 65050, 50803, 51521, 68237, 58621, 50890, 60608, 50950, 62147, 50879, 51497, 50901, 51497, 52379, 52074, 51184, 65050, 51014, 58596, 50841, 51222, 50976, 50417, 58621, 50803, 60608, 54658, 52401, 50967, 51347, 51058, 60948, 50811, 51386, 66378, 58065, 51973, 52490, 51060, 51856, 51058, 57677, 50855, 60948, 52865, 53333, 50841, 51521, 68350, 58065, 52119, 51874, 51101, 51497, 51058, 57677, 50962, 51222, 73073, 66024, 55381, 70770, 52074, 50886, 65854, 51520, 54866, 53333, 50841, 51511, 66609, 79049, 55920, 52556, 50911, 52074, 51008, 65854, 54209, 50846, 51511, 52175, 51874, 51221, 51497, 51337, 79049, 53543, 53333, 50379, 55958, 62561, 50883, 51222, 72333, 55613, 56728, 50818, 62147, 50893, 51497, 50977, 54443, 51030, 75771, 50820, 51222, 52410, 52401, 51095, 51347, 50933, 52983, 51460, 51386, 55341, 79026, 51856, 67606, 54131, 50895, 51521, 68029, 51874, 50849, 51497, 51058, 52983, 51603, 51222, 64104, 52556, 50890, 52074, 55249, 50839, 51511, 55920, 52556, 50879, 52074, 62285, 50961, 51511, 72551, 51874, 50873, 51497, 57616, 53333, 50839, 51222, 67840, 52490, 51177, 51856, 51166, 55613, 50921, 51521, 51138, 62147, 51060, 51497, 50905, 54443, 51460, 63087, 50820, 51222, 58808, 52401, 51060, 51347, 51328, 51386, 53466, 52490, 51060, 51856, 51058, 52983, 51603, 50804, 53333, 50839, 51521, 57067, 51874, 50845, 51497, 51058, 51222, 64104, 52556 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 3495, 2214, 11, 211, 538, 6, 4246, 41, 21979, 8669, 6, 26432, 636, 3938, 22052, 6, 2342, 4467, 6, 8, 21979, 9590, 6, 19, 12405, 842, 1671, 1688, 4428, 11, 5, 3618, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 15966, 13410, 228, 2289, 6, 150, 5, 33215, 16739, 9, 83, 6, 211, 6, 8, 3676, 3639, 7, 63, 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 ]

[ 57739, 50796, 52177, 50778, 50287, 52122, 50796, 50796, 50449, 50778, 50299, 51452, 50796, 50430, 50778, 50299, 53090, 50796, 50453, 50778, 50299, 52250, 50796, 50796, 50455, 51596, 51080, 56200, 51080, 77033, 51789, 51447, 63668, 51447, 50453, 52083, 51490, 71752, 51490, 79254, 51098, 51184, 51565, 52916, 67824, 52916, 64567, 50778, 50299, 56515, 50435, 50847, 64624, 50829, 51067, 78017, 53727, 50834, 50929, 50891, 51316, 59295, 53528, 50847, 64624, 50829, 51067, 55371, 58605, 50825, 51207, 50941, 51076, 50863, 71721, 51067, 59728, 56122, 53217, 58605, 50837, 51076, 51000, 51067, 56551, 50847, 64624, 50829, 65517, 61108, 59834, 53727, 50825, 51596, 51330, 56200, 51330, 68236, 50929, 54049, 53868, 50847, 64624, 50835, 51207, 68561, 56789, 51389, 51655, 52202, 53866, 55639, 53866, 51292, 54378, 61311, 50935, 50867, 51444, 50864, 50929, 59138, 53727, 50835, 51067, 55892, 54368, 61311, 50935, 50857, 51444, 50867, 69547, 51292, 58345, 58605, 50825, 51444, 57608, 50864, 51067, 57527, 56122, 53017, 58605, 50825, 69547, 51067, 56551, 50847, 68013, 50829, 51574, 50840, 50929, 50941, 50947, 50941, 51809, 52182, 51108, 52367, 51108, 50417, 53727, 50835, 51076, 59295, 53023, 51574, 54579, 61311, 50935, 50857, 51444, 50825, 68236, 51067, 66796, 52202, 51884, 55639, 51884, 50429, 51150, 52392, 50778, 50292, 53233, 50434, 51752, 52431, 54635, 52431, 50435, 69461, 51149, 50829, 51032, 59138, 58605, 62222, 50867, 51032, 61212, 53528, 69461, 51149, 50857, 50998, 66422, 57186, 53085, 50825, 66807, 50929, 50941, 65423, 51292, 50933, 51270, 54121, 52579, 53085, 54600, 69461, 51149, 50867, 67522, 51292, 50912, 69146, 60851, 58605, 50825, 67522, 51292, 59295, 63266, 52202, 51738, 55639, 51738, 50423, 69461, 51149, 50834, 50998, 53548, 50929, 56789, 52078, 51345, 52155, 51878, 53297, 51878, 50435, 50909, 50829, 51149, 50829, 50986, 75634, 54077, 50986, 50820, 50778, 50294, 78198, 50439, 51273, 51013, 50441, 61475, 50825, 51067, 61605, 54492, 50944, 75086, 50867, 51444, 50884, 50947, 68857, 54809, 52188, 51886, 52188, 50453, 53727, 50837, 52419, 51552, 76803, 76803, 51067, 57527, 55410, 52579, 51078, 50941, 51067, 56551, 50944, 75086, 50867, 52182, 51642, 52367, 51642, 52012, 75634, 50941, 60674, 52177, 61475, 69347, 75086, 50835, 51131, 50887, 64737, 51067, 59295, 63266, 52155, 52378, 53297, 52378, 50423, 50944, 50834, 51007, 50829, 51131, 50841, 50947, 50863, 51067, 50941, 50427, 50778, 50299, 55586, 50428, 52202, 54373, 55639, 54373, 50429, 51098, 51184, 50929, 56030, 50847, 68013, 50825, 51067, 78017, 53727, 77828, 50891, 51316, 59295, 53528, 61311, 50935, 50867, 51067, 55371, 58605, 50829, 51207, 50941, 51076, 50863, 71721, 51067, 59728, 54121, 52920, 58605, 50863, 51076, 51000, 51067, 56551, 61311, 50935, 50829, 65517, 61108, 59834, 53727, 50837, 68236, 50929, 54049, 53868, 61311, 50935, 50867, 51207, 68561, 56789, 51389, 51655, 51292, 54378, 61311, 50935, 50867, 51444, 50864, 50929, 59138, 53727, 50825, 51067, 55892, 54368, 61311, 50935, 50867, 51444, 50867, 69547, 51292, 58345, 58605, 50835, 51444, 57608, 50864, 51067, 57527, 55410, 53268, 58605, 50863, 69547, 51067, 56551, 61311, 50935, 50829, 51574, 50840, 50929, 50941, 50947, 50941, 52177, 53727, 50837, 51076, 59295, 53203, 51574, 54579, 60279, 50935, 50867, 51444, 50825, 68236, 51067, 58594, 51098, 52392, 50435, 60279, 50935, 50867, 50929, 59138, 53727, 77828, 50941, 51292, 56162, 53528, 61311, 50935, 50867, 51311, 57608, 57186, 58605, 50835, 51565, 51965, 67824, 51965, 51311, 50855, 51076, 50933, 51067, 50941, 51067, 50933, 51270, 54121, 52579, 58605, 54600, 50847, 64624, 50829, 68236, 51076, 50912, 73934, 60851, 53727, 50825, 68236, 51076, 59295, 54104, 61311, 50935, 50829, 51311, 53548, 51067, 63444, 52202, 52980, 55639, 52980, 50429, 51389, 51472, 50435, 50847, 64624, 50829, 51207, 50846, 51292, 54077, 51207, 56714, 53727, 76876, 61605, 54368, 50847, 64624, 50829, 51207, 50884, 51067, 58345, 58605, 50825, 51273, 51552, 50929, 50863, 51076, 50867, 51076, 62381, 55410, 53268, 58605, 50863, 69547, 51076, 74884, 51752, 51309, 54635, 51309, 50459, 50847, 64624, 50829, 51444, 74945, 50941, 51067, 50822, 52177, 53727, 61483, 68013, 50835, 50960, 50887, 69547, 50947, 56162, 62307, 52202, 53892, 55639, 53892, 50423, 50847, 64624, 50829, 50960, 50841, 50929, 50941, 51067, 59619, 52155, 52431, 53297, 52431, 50429, 51216, 51184, 50999, 54216, 50999, 55643, 62308, 50909, 74783, 62821, 50859, 55226, 52691, 50999, 57917, 56185, 68822, 50846, 50973, 50813, 52357, 70029, 53528, 62308, 50909, 76962, 50863, 50876, 56366, 61475, 50835, 51062, 50846, 50900, 64701, 62381, 56494, 53268, 61475, 50863, 51062, 58182, 62308, 50909, 50829, 51062, 50820, 50968, 50813, 55226, 50822, 59733, 50863, 50900, 65600, 52202, 51466, 55639, 51466, 50417, 56185, 50835, 51062, 50949, 50968, 51604, 50340, 59295, 54104, 62308, 50909, 62820, 74267, 63726, 51752, 56515, 54635, 56515, 50429, 51984, 51655, 51430, 53810, 51430, 57039, 50850, 64705, 51537, 50332, 50841, 51027, 63287, 52781, 51430, 56755, 56185, 50825, 51430, 78954, 53406, 53528, 62308, 50909, 50835, 51027, 74267, 56936, 61475, 50835, 51814, 50846, 51315, 63287, 65685, 56494, 53268, 61475, 50863, 51814, 56551, 62308, 50909, 51609, 50337, 73046, 50840, 50799, 51814, 50829, 51315, 61060, 56185, 50837, 51814, 71306, 59190, 53109, 62308, 50909, 51609, 50296, 61768, 64502, 51273, 56710, 51273, 52392, 50435, 67517, 51007, 50867, 51067, 59138, 61475, 50835, 51076, 50867, 51067, 61212, 58900, 51596, 51965, 56200, 51965, 50447, 50944, 75086, 50829, 52028, 68561, 57186, 53727, 50829, 52028, 50855, 51078, 50933, 50947, 50941, 79504, 51270, 55410, 53268, 53727, 62107, 52202, 52034, 55639, 52034, 50459, 50944, 79371, 50829, 64415, 77211, 50799, 52028, 60851, 61475, 50837, 51078, 50864, 51067, 61605, 60461, 51752, 52482, 54635, 52482, 50423, 50944, 75086, 50829, 52028, 53548, 52155, 51679, 53297, 51679, 50947, 56789, 51216, 51472, 50435, 50944, 75086, 50829, 51444, 50846, 51076, 54077, 51444, 62293, 52202, 52063, 55639, 52063, 50441, 61475, 50835, 51067, 61605, 59279, 51752, 52378, 54635, 52378, 50447, 67517, 51007, 50835, 51444, 50884, 50947, 58345, 53727, 50829, 52419, 51552, 76803, 76803, 51067, 57527, 55410, 52579, 51596, 51642, 56200, 51642, 51078, 50941, 51067, 56551, 50944, 75086, 50829, 52012, 75634, 50941, 60674, 51601, 51789, 51254, 63668, 51254, 50417, 61475, 67319, 75086, 50829, 51131, 50887, 64737, 51067, 59295, 53203, 51596, 50837, 56200, 60916, 51789, 50984, 63668, 57079, 51098, 71488, 64624, 50829, 51596, 52829, 56200, 52829, 50960, 50841, 50929, 50941, 51067, 56609, 51098, 51184, 50929, 56030, 50847, 64624, 50829, 51067, 78017, 53727, 73942, 50891, 51316, 59295, 54492, 61311, 50935, 50829, 51067, 55371, 58605, 50825, 51207, 50941, 51076, 50863, 71721, 51067, 59728, 56494, 53268, 51076, 51000, 51067, 56551, 50847, 64624, 50835, 65517, 61108, 59834, 53727, 50863, 68236, 50929, 54049, 53203, 53727, 53899, 50847, 64624, 50835, 51207, 68561, 56789, 51273, 51655, 51076, 54378, 50944, 75086, 50829, 51444, 50864, 51067, 59138, 61475, 50834, 50947, 55892, 54492, 50944, 79371, 50829, 52012, 50867, 51076, 50867, 51067, 57186, 53727, 50825, 52012, 61203, 50863, 51067, 59728, 55410 ]

[ 0, 250, 15352, 30054, 8, 20425, 5175, 3152, 2214, 19, 10, 2933, 26438, 1264, 6, 4246, 81, 9756, 29589, 6, 31391, 1672, 9590, 6, 1855, 4822, 254, 483, 6, 8669, 21040, 2857, 6, 8, 21072, 4, 8504, 11, 83, 3694, 8, 3185, 30, 10, 27841, 3006, 11332, 20889, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50645, 55746, 52013, 56604, 52013, 50962, 55746, 52013, 56604, 52013, 50962, 55746, 52013, 56604, 52013, 50962, 55746, 52013, 56604, 52013, 50962, 55746, 52013, 56604, 52013, 50962, 51094, 50306, 51732, 52055, 52281, 51031, 52399, 50834, 51694, 51695, 52844, 50843, 52950, 50843, 52878, 71970, 51899, 51695, 52738, 70037, 55986, 50818, 52399, 50841, 51694, 51695, 52844, 50843, 53219, 50843, 53239, 76062, 51899, 51695, 52738, 73621, 55986, 50895, 52399, 50828, 51694, 51695, 52927, 50843, 53219, 50843, 53806, 71970, 51899, 51695, 53268, 70037, 55986, 50883, 52399, 50828, 51694, 51695, 53644, 50843, 53418, 50843, 53806, 50843, 50883, 51899, 51695, 53563, 50843, 54359, 70037, 55986, 50818, 53440, 50834, 52399, 55133, 50843, 50820, 51694, 51695, 50884, 53764, 53063, 50843, 55486, 50843, 52950, 50843, 53905, 50843, 52616, 50843, 56156, 76321, 51899, 52193, 51769, 50817, 50796, 52399, 50834, 51694, 51695, 53644, 50843, 53219, 50843, 53885, 50843, 50839, 51899, 51695, 53173, 76321, 55986, 50884, 52399, 52870, 61603, 51347, 52677, 51695, 53644, 50843, 53219, 50843, 53806, 51347, 50976, 51347, 63304, 50839, 51899, 51695, 53650, 73621, 50799, 51347, 51352, 51347, 51352, 55301, 51352, 50843, 50961, 52399, 50846, 51694, 51695, 53230, 50843, 52565, 50843, 52210, 50843, 53068, 66157, 51767, 53757, 51695, 52349, 57548, 51409, 55422, 50846, 50799, 63525, 51188, 53025, 53336, 51347, 50923, 51347, 59434, 53516, 51499, 51237, 51499, 51237, 68311, 53644, 50843, 52950, 51347, 51054, 51347, 65030, 53806, 50843, 52396, 74608, 51347, 57321, 51695, 53563, 51347, 50923, 51347, 59434, 50884, 50799, 51499, 51735, 51499, 51735, 50843, 50883, 52399, 52437, 51347, 51090, 51347, 63923, 51695, 52844, 50843, 53116, 51347, 50923, 51347, 59434, 53885, 51767, 51090, 51767, 51090, 73621, 51899, 51695, 53650, 66157, 51767, 55422, 54943, 50843, 50839, 50799, 63525, 51188, 53025, 50883, 53440, 52981, 51347, 50923, 51347, 59434, 55893, 50843, 52905, 51499, 51237, 51499, 51237, 50682, 50303, 77068, 52265, 50843, 53219, 51347, 51054, 51347, 51054, 58788, 65030, 53675, 50843, 53083, 74608, 74608, 58788, 57321, 51695, 53685, 51347, 50923, 51347, 50923, 58788, 59434, 50828, 50799, 51499, 51735, 51499, 51735, 50682, 50303, 51735, 50843, 50884, 52399, 53855, 51347, 51090, 51347, 51090, 58788, 63923, 51695, 53230, 50843, 52950, 51347, 50923, 51347, 50923, 58788, 59434, 53885, 51767, 51090, 51767, 51090, 50843, 50820, 51899, 51695, 53563, 66157, 51767, 55422, 50828, 50799, 63525, 51188, 53025, 54031, 51347, 50923, 51347, 59434, 52905, 51499, 51237, 51499, 51237, 68311, 53644, 50843, 53040, 51323, 51090, 51323, 51090, 50843, 53806, 50843, 53595, 51404, 51237, 51404, 51237, 68311, 53650, 76321, 76676, 50976, 51478, 63304, 54031, 51347, 50911, 51347, 63108, 52905, 51263, 51054, 51263, 60746, 51695, 53644, 50843, 52565, 51200, 69428, 59964, 53885, 66227, 51497, 53025, 53409, 51347, 51090, 51347, 63923, 51695, 53650, 50843, 54943, 73621, 50799, 69882, 51188, 62630, 50818, 53440, 52761, 51263, 50911, 51263, 63108, 54069, 50843, 53150, 51347, 50911, 51347, 57438, 50817, 53764, 54562, 56349, 51263, 55422, 54487, 50843, 52766, 51200, 51030, 51200, 67451, 53885, 51323, 50936, 51323, 58582, 53035, 51497, 51505, 51497, 51505, 68311, 53650, 61603, 51347, 53025, 50818, 50799, 67212, 67212, 64496, 53025, 52432, 51188, 50923, 51188, 59434, 52992, 66227, 66227, 65776, 52677, 51695, 53230, 51347, 50923, 51347, 59434, 52950, 51188, 51009, 51188, 51009, 50682, 50306, 51009, 50843, 53675, 71970, 51899, 51695, 54450, 51206, 50883, 50799, 52074, 51045, 52074, 51045, 54785, 51045, 50418, 51497, 51033, 51497, 51033, 52584, 51033, 52399, 60480, 51245, 51033, 51245, 51033, 52993, 61001, 51497, 50823, 51497, 50823, 52584, 54886, 51695, 57881, 51188, 50921, 51188, 50921, 51684, 57359, 50843, 57535, 51497, 50921, 51497, 50921, 52584, 56360, 52074, 51045, 52074, 51045, 54785, 72815, 65809, 51497, 51033, 51497, 51033, 52584, 51033, 54032, 57854, 51245, 51033, 51245, 51033, 52993, 61326, 51497, 50823, 51497, 50823, 52584, 54886, 51695, 61807, 51188, 50921, 51188, 50921, 51684, 58133, 50843, 56637, 51497, 50921, 51497, 50921, 52584, 50921, 50799, 52074, 51045, 52074, 51045, 54785, 72815, 68316, 51497, 51033, 51497, 51033, 52584, 51033, 52399, 56493, 51245, 51033, 51245, 51033, 52993, 61001, 51497, 50823, 51497, 50823, 52584, 54886, 51695, 61426, 51188, 50921, 51188, 50921, 51684, 57359, 50843, 59871, 51497, 50921, 51497, 50921, 52584, 56360, 52074, 51045, 52074, 51045, 54785, 72815, 66331, 51497, 51033, 51497, 51033, 52584, 51033, 54032, 59484, 51245, 51033, 51245, 51033, 52993, 61326, 51497, 50823, 51497, 50823, 52584, 54886, 51695, 61807, 51188, 50921, 51188, 50921, 51684, 58133, 50843, 58472, 51497, 50921, 51497, 50921, 52584, 50921, 55975, 50846, 50799, 51593, 51014, 51593, 51014, 55301, 62864, 50883, 53440, 58516, 51323, 51014, 51323, 51014, 54144, 51014, 52399, 66774, 51746, 51014, 51746, 51014, 57058, 51014, 59705, 52905, 51323, 51014, 51323, 51014, 54144, 63637, 57834, 51823, 51014, 51823, 51014, 54423, 51014, 58932, 58608, 51323, 51014, 51323, 51014, 54144, 62591, 51593, 51014, 51593, 51014, 55301, 62864, 66331, 51323, 51014, 51323, 51014, 54144, 51014, 54032, 57728, 51746, 51014, 51746, 51014, 57058, 61208, 51323, 51014, 51323, 51014, 54144, 63637, 51695, 57109, 51823, 51014, 51823, 51014, 54423, 51014, 58201, 58472, 51323, 51014, 51323, 51014, 54144, 51014, 50799, 51593, 51014, 51593, 51014, 55301, 62864, 68316, 51323, 51014, 51323, 51014, 54144, 51014, 52399, 60161, 51746, 51014, 51746, 51014, 57058, 61177, 51323, 51014, 51323, 51014, 54144, 63637, 51695, 61426, 51823, 51014, 51823, 51014, 54423, 51014, 58932, 58608, 51323, 51014, 51323, 51014, 54144, 62591, 51593, 51054, 51593, 51054, 55301, 65030, 53675, 50843, 53409, 52074, 51014, 52074, 51014, 54785, 63637, 51695, 61807, 51323, 51014, 51323, 51014, 54144, 51014, 58201, 58472, 51593, 51014, 51593, 51014, 55301, 51014, 55975, 50820, 76676, 51014, 51478, 51014, 57435, 62864, 50895, 53440, 60461, 51593, 51014, 51593, 51014, 55301, 51014, 52399, 56493, 51323, 51014, 51323, 51014, 54144, 51014, 59705, 52928, 52074, 51014, 52074, 51014, 54785, 63637, 51695, 50884, 53764, 59508, 51245, 51014, 51245, 51014, 52993, 51014, 58932, 56859, 51497, 51014, 51497, 51014, 52584, 51014, 64993, 52600, 51245, 51014, 51245, 51014, 52993, 62864, 50895, 54268, 60067, 51497, 51014, 51497, 51014, 52584, 51014, 54032, 58275, 51245, 51014, 51245, 51014, 52993, 51014, 59341, 53057, 52074, 51014, 52074, 51014, 54785, 63637, 51695, 50883, 54710, 59753, 51245, 51014, 51245, 51014, 52993, 51014, 58201, 58892, 51497, 51014, 51497, 51014, 52584, 51014, 55975, 50839, 50799, 51593, 51014, 51593, 51014, 55301, 62864, 50883, 53440, 61798, 51323, 51014, 51323, 51014, 54144, 51014, 52399, 57466, 51593, 51014, 51593, 51014, 55301, 51014, 59705, 52992, 51478, 51014, 51478, 51014, 57435, 63637, 51695, 50884, 53764, 57531, 51593, 51014, 51593, 51014, 55301, 51014, 58932, 56720, 51323, 51014, 51323, 51014, 54144, 51014, 64993, 52600, 51478, 51014, 51478, 51014, 57435, 62864, 50883, 54268, 58900, 51593, 51014, 51593, 51014, 55301, 51014, 54032, 59673, 51478, 51014, 51478, 51014, 57435, 51014 ]

[ 0, 250, 15855, 30062, 620, 7085, 2125, 11, 211, 538, 6, 4246, 10, 6755, 12547, 6, 6168, 3540, 6, 17035, 873, 2401, 6, 8, 1515, 21305, 6, 2351, 41, 9066, 8, 25306, 5466, 4, 590, 10, 20889, 9, 9680, 13410, 228, 2289, 6, 4760, 25, 12447, 1001, 6, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 7630, 6568, 10, 1472, 9, 814, 8, 4149, 6, 10930, 2424, 6645, 88, 20292, 23225, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 83, 8, 381, 6, 8216, 7, 5, 1374, 2821, 16235, 9, 42, 13363, 28191, 4388, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 52203, 51535, 53883, 51535, 51088, 51417, 51088, 51417, 51088, 51413, 55527, 51417, 50435, 52494, 50874, 52601, 50827, 51251, 50854, 51251, 50854, 51251, 50854, 58942, 53415, 52203, 51267, 53883, 51267, 51088, 51290, 51088, 51290, 51088, 51290, 55527, 77225, 53958, 51110, 51357, 51167, 51357, 51167, 51357, 51379, 60630, 51379, 50459, 52494, 50827, 52601, 50822, 51251, 50844, 51251, 50810, 51251, 50810, 58942, 50810, 78938, 51417, 53883, 51417, 51088, 51661, 51088, 51661, 51088, 51661, 55527, 51661, 50435, 52494, 50874, 52601, 50827, 51251, 50854, 51251, 50854, 51251, 50854, 58942, 54181, 52203, 51056, 53883, 51267, 51088, 51073, 51088, 51290, 51088, 51290, 55527, 77225, 53958, 51178, 51357, 51167, 51357, 51167, 51357, 51167, 60630, 51167, 50459, 52494, 50827, 52601, 50822, 51251, 50810, 51251, 50810, 51251, 50810, 58942, 50810, 78938, 51056, 53883, 51159, 51088, 50948, 51088, 50948, 51088, 50936, 55527, 62229, 51088, 51470, 55527, 65933, 51088, 51376, 51304, 51470, 51733, 51824, 55527, 76103, 51088, 51376, 55527, 71113, 51088, 51376, 51558, 51824, 51384, 51470, 55527, 73505, 51088, 51470, 55527, 73380, 51088, 51376, 51284, 51470, 51304, 51470, 55527, 69096, 51088, 51376, 55527, 51376, 63441, 51376, 51182, 51470, 51558, 51470, 55527, 51376, 50420, 51088, 51470, 55527, 65933, 51088, 51376, 51284, 51470, 51304, 51470, 55527, 76103, 51088, 51470, 55527, 71113, 51088, 51376, 51182, 51470, 51558, 51470, 55527, 73505, 51088, 51470, 55527, 73380, 51088, 51254, 51600, 51470, 51284, 51470, 55527, 69096, 51088, 51470, 55527, 51376, 78938, 51535, 53883, 51413, 51088, 51159, 51088, 51159, 51182, 51056, 51182, 51159, 51088, 51291, 55527, 51291, 50426, 51357, 51233, 51357, 51043, 50435, 52494, 50874, 52601, 50833, 51251, 50822, 51251, 50822, 51251, 50854, 58942, 53415, 52203, 51267, 53883, 51290, 51088, 51290, 51088, 51472, 51088, 51472, 55527, 77225, 53958, 51178, 51357, 51167, 60630, 51167, 50459, 52494, 50827, 52601, 50833, 51251, 50810, 51251, 50854, 51251, 50833, 58942, 50810, 78938, 51417, 53883, 51285, 51088, 51661, 51088, 51285, 51088, 51285, 55527, 51285, 50435, 52494, 50874, 52601, 50854, 51251, 50854, 51251, 50833, 51251, 50833, 58942, 54181, 52203, 51267, 53883, 51073, 51088, 51290, 51088, 51290, 51088, 51290, 55527, 77225, 53958, 51110, 51088, 50967, 51088, 51215, 51357, 51167, 60630, 51167, 50459, 52494, 50827, 52601, 50833, 51251, 50844, 51251, 50854, 51251, 50854, 58942, 50810, 78938, 51056, 53883, 50936, 53883, 50948, 51088, 50948, 51088, 50948, 51088, 50936, 55527, 60647, 51088, 51470, 55527, 65933, 57849, 51470, 77348, 51470, 51088, 51254, 51304, 51470, 51733, 51470, 55527, 76103, 51088, 51470, 55527, 71552, 61249, 51824, 63647, 51470, 51088, 51376, 51558, 51470, 51384, 51470, 55527, 73505, 51088, 51376, 55527, 73380, 56065, 51470, 57849, 51470, 51088, 51376, 51284, 51470, 51304, 51470, 55527, 69096, 51088, 51470, 55527, 51376, 50799, 53883, 51470, 61249, 51470, 51088, 51376, 51182, 51470, 51558, 51470, 55527, 51376, 50420, 51088, 51470, 55527, 65933, 56065, 51470, 57849, 51470, 51088, 51376, 51284, 51470, 51304, 51470, 55527, 76103, 51088, 51470, 55527, 71552, 53883, 51470, 61249, 51470, 51088, 51376, 51182, 51824, 51558, 51470, 55527, 73505, 51088, 51470, 55527, 73380, 52601, 51470, 56065, 51824, 51088, 51254, 51600, 51470, 51284, 51470, 55527, 68987, 51088, 51470, 55527, 51376, 50799, 52494, 52149, 53958, 52250, 53339, 51159, 53883, 51056, 51182, 50833, 76537, 51088, 51048, 55527, 51048, 50417, 51558, 50858, 51384, 53113, 51558, 50808, 51384, 52296, 51558, 50808, 51384, 52450, 51558, 50840, 51384, 50840, 51357, 51167, 60630, 51167, 50429, 51558, 50840, 51384, 53810, 51558, 50840, 51384, 55782, 51558, 50840, 51384, 50840, 75352, 55120, 54773, 61249, 52821, 63647, 53454, 51558, 50840, 51384, 50840, 51182, 51055, 56199, 51055, 50441, 51558, 50840, 51384, 54400, 51558, 50840, 51384, 55761, 51558, 50840, 51384, 53688, 51558, 50840, 51384, 50840, 51107, 51110, 55120, 51178, 50453, 51558, 50840, 51384, 54166, 51558, 50840, 51384, 56249, 51558, 50840, 51384, 50840, 51357, 50833, 60630, 50833, 50799, 51558, 50840, 51384, 50840, 51088, 50937, 55527, 50937, 50417, 51558, 50840, 51384, 54507, 51558, 50840, 51384, 50840, 65870, 56847, 52296, 51558, 50840, 51384, 50840, 51357, 50859, 60630, 53950, 51558, 50840, 51384, 50840, 75186, 54713, 57781, 51558, 50840, 51384, 50840, 51107, 50859, 55120, 51628, 51558, 50840, 51384, 50840, 51266, 50859, 57921, 52262, 51558, 50840, 51384, 50840, 72224, 65466, 54773, 51558, 50840, 51384, 50840, 51182, 50948, 56199, 50924, 50441, 51558, 50840, 51384, 54400, 51558, 50840, 51384, 50840, 51107, 50937, 55120, 79860, 51558, 50840, 51384, 53688, 51558, 50840, 51384, 50840, 51357, 50917, 60630, 76596, 51558, 50840, 51384, 54166, 51558, 50840, 51384, 50840, 51088, 50977, 55527, 78970, 51558, 50840, 51384, 50840, 50799, 52795, 53002, 52900, 53002, 57849, 53002, 77348, 53073, 51304, 50809, 51733, 50887, 51299, 51109, 60244, 51109, 50417, 51304, 50809, 51733, 55777, 51304, 50809, 51733, 57851, 51304, 50809, 51733, 54818, 51304, 50809, 51733, 50887, 51301, 51175, 59813, 51175, 50429, 51304, 50809, 51733, 54937, 51304, 50809, 51733, 59046, 51304, 50809, 51733, 50887, 51088, 50859, 55527, 54362, 51304, 50840, 51733, 50840, 51093, 51055, 54713, 51055, 50441, 51304, 50840, 51733, 54400, 51304, 50840, 51733, 55761, 51304, 50840, 51733, 53688, 51304, 50840, 51733, 50840, 51088, 51178, 55527, 51110, 50453, 51304, 50840, 51733, 54166, 51304, 50840, 51733, 56249, 51304, 50840, 51733, 50840, 51301, 50833, 59813, 50833, 50799, 51304, 50840, 51733, 50840, 51299, 50937, 60244, 50937, 50417, 51304, 50840, 51733, 54507, 51304, 50840, 51733, 50840, 75848, 58942, 52296, 51304, 50840, 51733, 50840, 51301, 50859, 59813, 53950, 51304, 50840, 51733, 50840, 51154, 50858, 55840, 58129, 51304, 50840, 51733, 50840, 51088, 50859, 55527, 51628, 51304, 50840, 51733, 50840, 51113, 50859, 56847, 56535, 51304, 50840, 51733, 50840, 51357, 50859, 60630, 54773, 51304, 50840, 51733, 50840, 51093, 50948, 54713, 50924, 50441, 51304, 50840, 51733, 54400, 51304, 50840, 51733, 50840, 51182, 51030, 56199, 51030, 50447, 51304, 50840, 51733, 53688, 51304, 50840, 51733, 50840, 51266, 50938, 57921, 77658, 51304, 50840, 51733, 54166, 51304, 50840, 51733, 50840, 51093, 50937, 54713, 78970, 51304, 50840, 51733, 50840, 50799, 52494, 52024, 53958, 52024, 61249, 52024, 63647, 52149, 51558, 50836, 51384, 71247, 51267, 55527, 51267, 50417, 51558, 50836, 51384, 54402, 51558, 50836, 51384, 55155, 51558, 50836, 51384, 53425, 51558, 50836, 51384, 50836, 51357, 51175, 60630, 51175, 50429, 51558, 50836, 51384, 53695, 51558, 50836, 51384, 55310, 51558, 50836, 51384, 50836, 75352, 55120, 54773, 51558, 50840, 51384, 50840, 51182, 51055, 56199, 51055, 50441, 51558, 50840, 51384, 54400, 51558, 50840, 51384, 55761, 51558, 50840, 51384, 53688, 51558, 50840, 51384, 50840, 51107, 51178, 55120, 51178, 50453, 51558, 50840, 51384, 54166, 51558, 50840, 51384, 56249, 51558, 50840, 51384, 50840, 51357, 50833, 60630, 50833, 50799, 51558, 50840, 51384, 50840, 51088, 50937, 55527, 50937, 50417, 51558, 50840, 51384, 54507, 51558, 50840, 51384, 50840, 65870, 56847, 52296, 51558, 50840 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 2382, 3459, 8669, 6, 3459, 9590, 6, 2342, 4467, 6, 32909, 6, 8, 4401, 757, 3178, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 20425, 12447, 1001, 20889, 4, 20, 2214, 7630, 6568, 10, 2365, 8, 1619, 12, 3341, 5466, 6, 19, 5, 40286, 230, 406, 8, 274, 8165, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 50796, 50796, 51601, 52336, 51472, 51251, 51801, 50416, 51154, 51801, 51165, 51801, 50429, 51170, 63633, 51170, 66640, 51170, 61562, 51509, 51103, 50439, 51170, 60895, 51170, 65454, 51170, 60966, 51170, 71483, 51170, 52846, 51170, 66730, 51170, 61021, 51170, 57534, 51170, 54603, 51170, 50835, 79821, 76226, 51170, 62238, 51170, 60776, 51170, 54951, 51170, 52966, 51170, 50908, 50428, 51170, 62618, 51170, 53814, 51170, 54950, 51170, 58286, 51170, 52904, 52067, 50967, 50440, 51170, 67387, 51170, 53384, 51170, 60402, 51579, 51238, 50447, 51170, 57855, 51170, 69909, 51170, 60202, 51170, 64360, 51509, 50967, 50457, 51170, 56232, 51170, 50928, 79821, 50928, 50416, 51485, 52195, 71855, 77940, 51170, 65587, 51170, 78572, 51170, 77662, 51170, 64044, 51170, 66284, 51170, 63633, 51170, 68210, 51170, 53018, 51170, 67264, 51170, 60362, 51170, 57013, 51170, 53528, 51170, 52743, 51170, 64125, 51170, 59699, 51170, 58901, 51170, 54603, 51170, 56834, 51170, 50837, 51601, 51485, 50936, 50416, 51170, 66478, 51170, 60156, 51170, 54951, 51170, 62184, 51485, 56346, 51170, 50908, 50428, 51170, 62169, 51509, 51158, 51170, 61689, 51170, 60591, 51170, 54114, 51170, 76779, 51170, 72536, 51509, 51173, 50443, 51170, 59892, 51170, 63078, 51170, 57855, 51485, 67876, 51170, 50908, 50452, 51170, 61733, 51170, 63917, 51170, 61824, 51113, 51080, 51299, 51283, 51170, 50908, 67719, 50980, 50415, 51170, 57226, 51170, 53420, 51170, 54951, 51170, 59045, 51485, 55300, 50908, 50428, 51170, 66284, 51170, 53814, 51485, 51013, 50433, 51170, 68210, 51251, 51243, 51165, 51080, 51170, 65004, 51170, 72536, 51170, 54485, 51170, 59892, 51509, 51189, 50447, 51170, 61244, 51170, 50908, 50452, 51170, 62476, 51170, 62662, 51170, 55397, 51170, 50870, 79821, 76965, 51170, 66478, 51170, 52944, 51170, 53868, 51170, 58646, 51170, 58245, 51170, 58027, 51170, 52767, 51170, 54248, 51170, 57667, 51170, 53018, 52336, 50879, 50440, 51170, 59457, 51170, 59002, 51170, 54914, 51170, 60145, 51170, 70738, 51170, 61634, 51170, 63367, 51170, 63414, 51170, 50870, 51601, 51170, 70637, 51170, 54213, 51509, 50879, 51170, 54951, 51170, 52872, 51170, 74031, 51170, 55028, 52336, 50924, 50431, 51170, 59383, 51170, 57413, 52067, 50879, 51170, 73052, 51170, 59457, 51170, 53594, 51509, 50910, 51170, 53528, 51170, 60068, 51170, 56597, 52067, 50924, 50454, 51170, 53555, 51170, 56013, 51579, 75010, 56834, 51170, 50870, 51809, 51170, 59527, 51641, 80045, 53405, 51170, 53109, 51170, 52872, 51579, 50925, 51170, 65368, 51170, 62169, 51170, 58803, 51509, 63977, 63122, 51170, 65004, 51170, 50908, 50440, 51485, 54134, 51170, 53858, 51170, 63157, 51509, 64201, 51170, 71483, 51170, 53166, 51170, 50908, 50452, 51641, 58639, 51170, 61634, 51170, 63917, 51170, 56047, 51431, 63357, 51170, 50863, 79821, 76965, 51170, 61252, 51641, 61134, 51170, 53420, 51170, 58409, 51170, 53991, 51485, 51173, 50425, 51170, 59741, 51170, 57265, 51170, 62000, 51723, 62109, 51170, 59383, 51170, 57514, 51170, 53115, 52039, 51178, 50439, 51170, 59457, 51170, 59892, 51170, 58394, 52334, 51295, 50447, 51170, 57855, 51170, 67512, 51170, 64360, 51170, 58908, 51170, 67828, 51170, 50891, 79821, 65926, 51170, 61844, 51170, 59109, 51170, 55375, 51170, 52966, 51170, 50908, 50428, 51170, 62618, 51170, 58803, 51485, 75010, 54950, 51170, 57892, 51170, 60470, 51170, 61118, 51170, 59002, 51485, 64482, 51170, 61333, 51170, 52763, 51170, 70738, 51509, 50910, 51170, 59713, 51170, 59044, 51170, 59175, 51170, 50837, 79821, 67722, 51509, 50910, 51170, 64159, 51170, 59490, 51170, 53899, 51485, 80045, 52712, 51170, 57265, 51170, 58734, 51170, 59516, 51299, 51627, 51113, 51627, 51154, 51627, 51170, 59572, 51641, 80045, 52904, 51170, 55788, 51170, 53384, 51170, 54673, 51170, 57855, 51641, 80045, 66730, 51170, 67827, 51170, 62107, 51170, 54600, 51251, 51801, 51165, 51801, 51154, 51801, 50461, 51170, 50908, 76634, 61682, 56260, 51485, 51623, 71855, 63059, 56455, 53744, 51170, 52870, 56150, 51187, 61682, 56455, 57517, 50846, 51361, 56455, 50828, 51450, 64678, 59325, 51180, 56093, 53068, 56150, 56921, 51406, 56494, 56289, 53173, 51441, 51117, 50828, 51528, 64678, 51406, 56455, 62456, 56455, 54477, 51170, 53855, 56150, 56921, 51406, 56093, 56289, 50846, 51361, 56494, 50839, 51450, 64678, 59325, 51180, 56455, 53711, 56150, 51187, 61682, 56494, 54094, 53173, 50843, 56494, 50839, 66140, 51801, 51107, 51801, 51154, 51080, 51096, 50940, 52553, 61682, 56455, 58487, 51485, 56763, 51185, 50836, 51530, 50836, 53463, 50836, 51096, 50948, 65683, 53855, 51509, 68052, 51173, 56150, 56921, 51406, 56494, 54912, 52927, 51485, 50806, 51185, 50812, 51530, 50836, 53463, 50836, 65683, 53294, 51186, 50893, 52553, 61682, 53041, 51485, 50924, 51530, 64779, 50836, 53463, 50836, 65683, 53595, 51509, 51013, 51530, 64779, 50836, 53463, 50836, 76976, 56150, 56921, 51406, 56494, 54912, 53173, 51185, 50836, 51530, 50836, 53463, 50836, 66308, 51441, 51117, 50841, 64934, 51073, 51096, 50940, 52553, 61682, 56093, 52432, 51185, 50836, 51530, 50836, 53463, 50836, 51096, 50940, 66385, 53855, 51509, 50893, 63042, 56150, 51187, 61682, 56494, 56289, 52927, 51185, 50836, 51530, 50836, 53463, 50836, 51186, 50893, 65683, 57201, 52336, 51073, 51450, 64678, 51406, 53041, 51185, 50836, 51530, 50836, 53463, 50836, 66308, 52261, 50445, 51509, 51294, 50447, 51170, 53595, 51185, 50836, 51530, 50836, 53463, 50836, 51096, 51173, 56150, 56921, 51406, 56494, 54912, 53173, 51530, 64779, 50836, 53463, 55250, 56494, 50841, 53596, 53393, 51041, 61682, 56093, 57056, 51485, 68360, 51185, 50836, 51530, 50836, 53463, 50836, 51096, 50948, 65683, 54104, 51170, 52870, 51485, 50911, 66308, 56150, 51187, 61682, 56494, 57517, 52927, 53463, 64779, 50836, 51530, 50836, 65683, 61361, 51509, 55122, 51186, 50893, 51728, 51459, 51406, 53041, 51509, 51013, 51185, 50836, 51530, 50836, 53463, 50836, 65683, 52396, 51096, 51173, 56150, 51187, 61682, 56093, 55211, 53173, 51485, 50952, 53463, 64779, 50836, 51530, 50836, 65683, 60744, 51113, 51080, 51093, 51627, 67719, 51345, 61882, 51728, 51459, 51406, 56093, 52761, 51092, 50836, 51530, 50836, 52110, 50836, 61882, 66385, 52437, 51485, 50841, 52110, 66146, 50828, 51530, 50836, 50945, 51175, 56150, 56921, 51406, 56494, 54912, 50846, 51361, 56455, 57201, 51485, 51735, 50437, 51165, 51801, 51107, 51801, 50438, 51186, 50940, 51728, 51459, 51406, 53041, 51185, 50836, 51530, 50836, 53463, 50836, 51186, 50948, 65683, 63228, 51509, 70233, 51530, 64779, 50836, 53463, 50836, 50945, 51175, 56150, 56921, 51406, 56494, 55304, 53173, 51530, 64779, 50836, 53463, 55250, 56093, 53902, 51236, 50828, 53596, 50940, 52553, 61682, 56455, 55614, 51485, 51354, 50420, 51185, 50836, 51530, 50836, 53463, 50836, 51096, 50948, 65683, 55800, 51509, 50879, 50945, 51173, 56150, 51187, 61682, 56494, 54912, 52927, 51485, 50924, 51185, 50836, 51530, 50836, 53463, 50836, 66385, 52565, 51186, 50893, 51728, 51459, 51406, 53041, 51485, 50940, 51185, 50836, 51530, 50836, 53463, 52217, 54926, 51170, 55254, 51509, 51013, 51185, 50836, 51530, 50836, 53463, 50836, 76976, 56150, 51187, 61682, 56494, 55304, 53173, 51185, 50836, 51530, 50836, 53463, 50836, 50945, 59893, 56093, 50895, 64934, 50858, 51096, 50940, 52553, 61682, 56455, 52432, 51485, 50940 ]

[ 0, 250, 33928, 8, 33558, 3495, 2214, 19, 10, 1619, 16464, 6, 278, 11, 5, 762, 9, 12608, 538, 8, 702, 23, 41, 12447, 1001, 20889, 4, 6208, 38645, 8, 3459, 29589, 483, 5, 33301, 6, 2800, 30, 3459, 9590, 8, 21072, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 19, 5, 40286, 274, 8, 12608, 8165, 5705, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58402, 50796, 50799, 51513, 50917, 51781, 51328, 51325, 51714, 50885, 51313, 50979, 52071, 50992, 52151, 50798, 50375, 53323, 50941, 60043, 51313, 51298, 75272, 51513, 65647, 51781, 53450, 51536, 62109, 51781, 53264, 52459, 53969, 51536, 68465, 51781, 61327, 51513, 50978, 50799, 51729, 50938, 51659, 51328, 51213, 51151, 51037, 51313, 51017, 52071, 50944, 52151, 51321, 56630, 73821, 50939, 51313, 51125, 75272, 51729, 65647, 51659, 53450, 51543, 62109, 51659, 53264, 51780, 53969, 51543, 68465, 51659, 61327, 51729, 50978, 50799, 51513, 50917, 51781, 51328, 50885, 51313, 50979, 52071, 50992, 52151, 51321, 55136, 50857, 60043, 51313, 51298, 75272, 51513, 65647, 51781, 53450, 51536, 51100, 51325, 51692, 50432, 51781, 53264, 52459, 53969, 51536, 68465, 51781, 61327, 51513, 50978, 50799, 51729, 50938, 51659, 51328, 51037, 51313, 51017, 52071, 50944, 52151, 51321, 54880, 70691, 50939, 51313, 51125, 75272, 51729, 66401, 51659, 53906, 51543, 51100, 51213, 51790, 50432, 51659, 53264, 51780, 53969, 51659, 58262, 51659, 51159, 50799, 51781, 51110, 51513, 51058, 51325, 53295, 50885, 55408, 50979, 55277, 50992, 55408, 50798, 50375, 53323, 50941, 60043, 55408, 51298, 55408, 50420, 51513, 65647, 51781, 53450, 51536, 57066, 51536, 53264, 57463, 53969, 54674, 58248, 52652, 61327, 51536, 50978, 50799, 51781, 50849, 51513, 70997, 51781, 65647, 51536, 53450, 52652, 57066, 54674, 53264, 57463, 53969, 54674, 58248, 52652, 61327, 51536, 50978, 50799, 52031, 50948, 51325, 51351, 50885, 51337, 51298, 62344, 61678, 51337, 60490, 50856, 53970, 58793, 52031, 51226, 51298, 52347, 50307, 64705, 61185, 75309, 64367, 61497, 71933, 71104, 50909, 55296, 57203, 50885, 51337, 76080, 64045, 51298, 51097, 50909, 51484, 50856, 54327, 52658, 51334, 51446, 51325, 50844, 50979, 65217, 54438, 55892, 55643, 59398, 71933, 50992, 53945, 52031, 51685, 51325, 51400, 50979, 51058, 50992, 51309, 50909, 57245, 50978, 51298, 56777, 56500, 54682, 74305, 56031, 51298, 62344, 76258, 55144, 54803, 56031, 50992, 54626, 51105, 50878, 50885, 52347, 50312, 51006, 51298, 51108, 50979, 50866, 50909, 57957, 55892, 70072, 54232, 63010, 50885, 61815, 50827, 50909, 51079, 50856, 71402, 57490, 67983, 61388, 55563, 51351, 50885, 51523, 50319, 62344, 61678, 51337, 60490, 50856, 52923, 53066, 54503, 51013, 51298, 59599, 51006, 69076, 50979, 54546, 59295, 58116, 61497, 71933, 50992, 55296, 56323, 50885, 51337, 76080, 64045, 51298, 51108, 50909, 51576, 50816, 55892, 53998, 52004, 51013, 51325, 50844, 50979, 65217, 54438, 59260, 56524, 59398, 71933, 50992, 53945, 51325, 51400, 50979, 51058, 50992, 51309, 50909, 57245, 50978, 51298, 56777, 53110, 55434, 51893, 51290, 74305, 56031, 51298, 62344, 76258, 55164, 57298, 56031, 50992, 54626, 51105, 50866, 50885, 52347, 50312, 51199, 51298, 51108, 50979, 50866, 50909, 57957, 56500, 61568, 54194, 52031, 50879, 51325, 50844, 50979, 57847, 59985, 51079, 50856, 56061, 50941, 50799, 51934, 50924, 51105, 51351, 51037, 51337, 51125, 62344, 56238, 51337, 50939, 63781, 53970, 58793, 51934, 50807, 51125, 52347, 50307, 62834, 61185, 75309, 64367, 51037, 50886, 71933, 61311, 50939, 55296, 57203, 51037, 51337, 76080, 57230, 51125, 51097, 50939, 51484, 50856, 54327, 52658, 52031, 50893, 51096, 50822, 50979, 57932, 54438, 55892, 55643, 63818, 71933, 50847, 53945, 51408, 51359, 51934, 51655, 51105, 51267, 50979, 51058, 50847, 51309, 50939, 69178, 50978, 51125, 56777, 56500, 54682, 51037, 51376, 58287, 51125, 62344, 76258, 55144, 55118, 58287, 50847, 54626, 51096, 50866, 51037, 60025, 51006, 51125, 51108, 50979, 50866, 50939, 57957, 55892, 70072, 53176, 50945, 50844, 63010, 51037, 56785, 50827, 50939, 51079, 50856, 71402, 56573, 67983, 56538, 53870, 51351, 51037, 65226, 62344, 56238, 51337, 50939, 63781, 52923, 53066, 51125, 52347, 50314, 51006, 51037, 50941, 50979, 54546, 59295, 58116, 51037, 50886, 71933, 50847, 55296, 56323, 51037, 51337, 76080, 57230, 51125, 51108, 50939, 51576, 50816, 55892, 53998, 51096, 50874, 50979, 65217, 56777, 59260, 56524, 63818, 50979, 53980, 51105, 51109, 50979, 51058, 50847, 51309, 50939, 69178, 50978, 51125, 56777, 53110, 55434, 51934, 69964, 51376, 58287, 51125, 62344, 76258, 55164, 57298, 58287, 50847, 54626, 51408, 50879, 51096, 50866, 51037, 60025, 51199, 51125, 51108, 50979, 50866, 50939, 57957, 56500, 61568, 54194, 51334, 62872, 67842, 62932, 51079, 50856, 56061, 50941, 50799, 51934, 50924, 51105, 51351, 51037, 51337, 51125, 62344, 56238, 51337, 50939, 63781, 53970, 58793, 51934, 50807, 51125, 52347, 50307, 62834, 61185, 75309, 64367, 51037, 50886, 71933, 61311, 50939, 55296, 57203, 51037, 51337, 76080, 57230, 51125, 51097, 50939, 51484, 50856, 54327, 52658, 52031, 50893, 51096, 50874, 50979, 57932, 54438, 55892, 55643, 63818, 71933, 50847, 53945, 51408, 51675, 51934, 51896, 51105, 51109, 50979, 51058, 50847, 51309, 50939, 69178, 50978, 51125, 56777, 56500, 54682, 51037, 51376, 58287, 51125, 62344, 76258, 55144, 55876, 58287, 50847, 54626, 51096, 50866, 51037, 60025, 51006, 51125, 51108, 50979, 50866, 50939, 57957, 55892, 70072, 52863, 63010, 51037, 56785, 50827, 50939, 51079, 50856, 71402, 56573, 67983, 56538, 53870, 51351, 51037, 65226, 62344, 56238, 51337, 50939, 63781, 52923, 53066, 52004, 51013, 51125, 52347, 50314, 51006, 51037, 50941, 50979, 54546, 59295, 58116, 51037, 50886, 71933, 50847, 55296, 56323, 51037, 51337, 76080, 57230, 51125, 51108, 50939, 51576, 50816, 55892, 53998, 51893, 50865, 51096, 50874, 50979, 50857, 57230, 50798, 59260, 56524, 63818, 50979, 53980, 51893, 50795, 51105, 51109, 50979, 51058, 50847, 51309, 50939, 69178, 50978, 51125, 56777, 53110, 55434, 52031, 78335, 51376, 58287, 51125, 62344, 76258, 55164, 57298, 58287, 50847, 54626, 51096, 50866, 51037, 60025, 51199, 51125, 51108, 50979, 50866, 50939, 57957, 56500, 61568, 53820, 51934, 57132, 67842, 62932, 51079, 50856, 56061, 50941, 79479, 51291, 51674, 51397, 51325, 51351, 50885, 51337, 51298, 62344, 61678, 51337, 60490, 50856, 53970, 58793, 51298, 52347, 50307, 64705, 61185, 75309, 64367, 61497, 71933, 71104, 50909, 55296, 57203, 50885, 51337, 76080, 64045, 51298, 51097, 50909, 51484, 50856, 54327, 52658, 52031, 51060, 51105, 50844, 50979, 65217, 54438, 55892, 55643, 59398, 71933, 50992, 53945, 51674, 51675, 51334, 51896, 51325, 51400, 50979, 51058, 50992, 51309, 50909, 57245, 50978, 51298, 56777, 56500, 54682, 74305, 56031, 51298, 62344, 76258, 55144, 56888, 56031, 50992, 54626, 51105, 50878, 50885, 52347, 50312, 51006, 51298, 51108, 50979, 50866, 50909, 57957, 55892, 70072, 54194, 63010, 50885, 61815, 50827, 50909, 51079, 50856, 71402, 54846, 67983, 61388, 55563, 51351, 50885, 51523, 50319, 62344, 61678, 51337, 60490, 50856, 52923, 53066, 51298, 59599, 51006, 69076, 50979, 54546, 59295, 58116, 61497, 71933, 50992, 55296, 56323, 51674, 51060, 50885, 51337, 76080, 64045, 51298, 51108, 50909, 51576, 50816, 55892, 53998, 51408, 51100, 51105, 50844, 50979, 65217, 54438, 59260, 56524, 59398, 71933, 50992, 53945, 51334, 51177, 52031, 51158, 51325, 51400, 50979, 51058, 50992, 51309, 50909, 57245, 50978, 51298, 56777, 53110, 55434, 51893, 51060, 74305, 56031, 51298, 62344, 76258, 55164, 57298, 56031, 50992, 54626, 54503, 51060, 51105, 50878, 50885, 52347, 50312, 51199 ]

[ 0, 250, 3152, 2214, 19, 3495, 16882, 6, 4246, 10, 11739, 9, 6755, 12547, 6, 36075, 8669, 6, 21979, 8669, 6, 17691, 28430, 6, 8, 21072, 4, 8504, 11, 83, 538, 8, 1375, 23, 10, 23667, 27841, 139, 20889, 6, 24, 18, 10, 13363, 28191, 15229, 14, 17172, 2933, 223, 34693, 19, 15352, 30054, 33083, 6, 2351, 10, 2216, 5466, 4, 20, 2125, 3905, 10, 204, 73, 306, 86, 6543, 8, 24536, 10, 33215, 16739, 9, 381, 6, 230, 10431, 119, 6, 211, 73, 250, 6, 8, 163, 73, 597, 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 ]

[ 65919, 51708, 66489, 51708, 65031, 51708, 63758, 51708, 51072, 64680, 66489, 51708, 65031, 51708, 63758, 51708, 51072, 64680, 69277, 52448, 54107, 51708, 60396, 53663, 51708, 63759, 52448, 54145, 51708, 60396, 50824, 64680, 69277, 52448, 54107, 51708, 60396, 53663, 51708, 63759, 52448, 54145, 51708, 60396, 50824, 64680, 51072, 50947, 51650, 52448, 54226, 51076, 52910, 51708, 60396, 53566, 51316, 53663, 51708, 63759, 52448, 53681, 51169, 52728, 51708, 60396, 54098, 71048, 64680, 69277, 52448, 54226, 51076, 52910, 51708, 60396, 53566, 51316, 53663, 51708, 63759, 52448, 53681, 51169, 52728, 51708, 60396, 54098, 71048, 64680, 69277, 52448, 54226, 51076, 52910, 51708, 60396, 53566, 51316, 53663, 51708, 63759, 52448, 53681, 51169, 52728, 51708, 60396, 54098, 71048, 64680, 51072, 51216, 77860, 55848, 60726, 51076, 52910, 51708, 78786, 57421, 51316, 53663, 51708, 63759, 55848, 61726, 51169, 52728, 51708, 78786, 50824, 50799, 51229, 64014, 54774, 59739, 61912, 51590, 52910, 51216, 52448, 53566, 51934, 53663, 51216, 54565, 52448, 53681, 51674, 52728, 51216, 52448, 54098, 51229, 50807, 54389, 54774, 52448, 54226, 51590, 52910, 51216, 52448, 53566, 51934, 53663, 51216, 54565, 52448, 53681, 51674, 52728, 51216, 52448, 54098, 51229, 50807, 54389, 50824, 52355, 54774, 52448, 54226, 51590, 52910, 65206, 52355, 52448, 53566, 51934, 53663, 65206, 52824, 75038, 52448, 53681, 51674, 52728, 51216, 52448, 54098, 51229, 50807, 54389, 50824, 52549, 60288, 52448, 54226, 51590, 52910, 51216, 52448, 53566, 51934, 53663, 65206, 52285, 75038, 55848, 58141, 51674, 52728, 51216, 69478, 50799, 51547, 50795, 51705, 50824, 52933, 54774, 52448, 54226, 51674, 52910, 51705, 50824, 53101, 52448, 53566, 51229, 53663, 51705, 50824, 53101, 51352, 50816, 52448, 53681, 51366, 52728, 51705, 52448, 54098, 51547, 50807, 59298, 54774, 52448, 54226, 51674, 52910, 51705, 52448, 53566, 51229, 53663, 51705, 54565, 52448, 53681, 51366, 52728, 51705, 52448, 54098, 51547, 50807, 59298, 50824, 53101, 54774, 52448, 54226, 51674, 52910, 51705, 50824, 53101, 51331, 53566, 51229, 50824, 52285, 53663, 51705, 54565, 52448, 53681, 51366, 50807, 52285, 54145, 51705, 52448, 54098, 51547, 50807, 51900, 50824, 59298, 54774, 52448, 54226, 51674, 50807, 51900, 54107, 51705, 52448, 53566, 51229, 50824, 52549, 53663, 51705, 54565, 55848, 58141, 51366, 50807, 52824, 52175, 51705, 50824, 52549, 55886, 50824, 50799, 51229, 64014, 50824, 52549, 52442, 50801, 52448, 54226, 51590, 52910, 51216, 52448, 53566, 51934, 53663, 51216, 54565, 52448, 53681, 51674, 52728, 51216, 52448, 54098, 51229, 50807, 54389, 54774, 52448, 54226, 51590, 52910, 51216, 52448, 53566, 51934, 53663, 51216, 54565, 52448, 53681, 51674, 52728, 51216, 52448, 54098, 51229, 50807, 54389, 50824, 52355, 54774, 52448, 54226, 51590, 52910, 65206, 52355, 57838, 53566, 51934, 53663, 51216, 54565, 52448, 53681, 51674, 52728, 65206, 52824, 52448, 54098, 51229, 50807, 54389, 50824, 52549, 54774, 52448, 54226, 51590, 52910, 65206, 52549, 52448, 53566, 51934, 53663, 65206, 52285, 75038, 55848, 58141, 51674, 52728, 51216, 69478, 50799, 51547, 50795, 51705, 50824, 54063, 54774, 52448, 54226, 51674, 52910, 51705, 50824, 52515, 52448, 53566, 51229, 53663, 51705, 50824, 52515, 51795, 50816, 52448, 53681, 51366, 52728, 51705, 52448, 54098, 51547, 50807, 59298, 54774, 52448, 54226, 51674, 52910, 51705, 52448, 53566, 51229, 53663, 51705, 54565, 52448, 53681, 51366, 52728, 51705, 52448, 54098, 51547, 50807, 59298, 50824, 53101, 54774, 52448, 54226, 51674, 52910, 51705, 50824, 53101, 51331, 53566, 51229, 50824, 52285, 53663, 51705, 54565, 52448, 53681, 51366, 50807, 52285, 54145, 51705, 52448, 54098, 51547, 50807, 51900, 50824, 59298, 54774, 52448, 54226, 51674, 50807, 51900, 54107, 51705, 52448, 53566, 51229, 50824, 52549, 53663, 51705, 54565, 55848, 58141, 51366, 50807, 52824, 52175, 51705, 50824, 52549, 69478, 50799, 51547, 69535, 50824, 51900, 52442, 50801, 52448, 54226, 51674, 52910, 51389, 52448, 53566, 51229, 53663, 51389, 54565, 52448, 53681, 51366, 52728, 51389, 52448, 54098, 51547, 50807, 56950, 54774, 52448, 54226, 51674, 52910, 51389, 52448, 53566, 51229, 53663, 51389, 54565, 52448, 53681, 51366, 52728, 51389, 52448, 54098, 51547, 50807, 56950, 50824, 53101, 54774, 52448, 54226, 51674, 52910, 71603, 53101, 51331, 53566, 51229, 50824, 52285, 53663, 51389, 54565, 52448, 53681, 51366, 50807, 52285, 54145, 51389, 52448, 54098, 51547, 50807, 51900, 50824, 56950, 54774, 52448, 54226, 51674, 50807, 51900, 54107, 51389, 52448, 53566, 51229, 50824, 52549, 53663, 51389, 54565, 55848, 58141, 51366, 50807, 52824, 52175, 71603, 52549, 69478, 50799, 51366, 50795, 51984, 50824, 51900, 54217, 54111, 52590, 52448, 54226, 51547, 50807, 52874, 52038, 51984, 50824, 54111, 51331, 53566, 51674, 50824, 52874, 52125, 51984, 50824, 54111, 52677, 52448, 53681, 51366, 50807, 52874, 52175, 51984, 50824, 54111, 51331, 54098, 51366, 50807, 52874, 50802, 69899, 50824, 54111, 52590, 52448, 54226, 51547, 50807, 52874, 52038, 51984, 50824, 54111, 51331, 53566, 51674, 50824, 52874, 52125, 51984, 50824, 54111, 52677, 52448, 53681, 51366, 50807, 52874, 52175, 51984, 50824, 54111, 51331, 54098, 51366, 50807, 52874, 50802, 69899, 50824, 54111, 52590, 52448, 54226, 51547, 50807, 52874, 52038, 51984, 50824, 52285, 50824, 54111, 51331, 53566, 51674, 50824, 52874, 52125, 51984, 50824, 52933, 50824, 54111, 52677, 55848, 58141, 51366, 50807, 52874, 52175, 51984, 50824, 52285, 50824, 54111, 52319, 58705, 51366, 50807, 52874, 50802, 69899, 50824, 52933, 50824, 54111, 52590, 52448, 54226, 51547, 50807, 52874, 52038, 51984, 50824, 52285, 50824, 54111, 51331, 53566, 51674, 50824, 52874, 52590, 53663, 51984, 50824, 52933, 50824, 54111, 52677, 55848, 58141, 51366, 50807, 52874, 52175, 51984, 50824, 52933, 50824, 54111, 52319, 54098, 52874, 50802, 54389, 50824, 52515, 52442, 51296, 51732, 52874, 51492, 50946, 51109, 69014, 50850, 66778, 59739, 74899, 51216, 62988, 59790, 57588, 55325, 53566, 50946, 59790, 57588, 54014, 51216, 62988, 51109, 69014, 69816, 50816, 52448, 54145, 51216, 62988, 59790, 57588, 55325, 54098, 50946, 59790, 57588, 50866, 54389, 62988, 51109, 69014, 50850, 66778, 52448, 54107, 51216, 62988, 59790, 57588, 55325, 53566, 50946, 59790, 57588, 54014, 51216, 62988, 51109, 69014, 69816, 50816, 52448, 54145, 65206, 52285, 62988, 59790, 57588, 55325, 54098, 50946, 59790, 57588, 50866, 54389, 50824, 55360, 51870, 50946, 51109, 69014, 50850, 66778, 52448, 54107, 51216, 62988, 59790, 57588, 55325, 53566, 50946, 59790, 57588, 54014, 65206, 52515, 62988, 51109, 69014, 69816, 50816, 52448, 54145, 65206, 52515, 51009, 50946, 59790, 57588, 55325, 54098, 50946, 59790, 57588, 50866, 54389, 62988, 51109, 69014, 50850, 66778, 52448, 54107, 65206, 52933, 62988, 59790, 57588, 55325, 53566, 50946, 59790, 57588, 54014, 65206, 52933, 50824, 54063, 51108, 50946, 51109, 69014, 69816, 50816, 55848, 56508, 65206, 52515, 51184, 55360, 51449, 50946, 59790, 57588, 55571, 54098, 50946, 59790, 57588, 50866, 60294, 50824, 51473, 51732, 56513, 51492, 50944, 51109, 51125, 51109, 51840, 66778, 59739, 74899, 51868, 50824, 75251, 51125, 50866, 51840, 55325, 53566, 75251, 51125, 50866, 51840, 54014, 51868, 50824, 50944 ]

[ 0, 250, 5679, 26709, 8, 19448, 5175, 2214, 19, 10, 2842, 9, 1365, 6288, 6, 4246, 10, 13305, 6, 38668, 3038, 6, 38668, 11212, 6, 8, 6168, 3540, 4, 8504, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 1918, 6, 274, 6, 8, 230, 73, 534, 3639, 7, 5, 3366, 219, 8, 23975, 5466, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58402, 71243, 52115, 71243, 51631, 71243, 51736, 56243, 51646, 71243, 51918, 71243, 51798, 71243, 51923, 71243, 50795, 53807, 50807, 50799, 71243, 52115, 61584, 50795, 53775, 51631, 71243, 50795, 54173, 53182, 50750, 50289, 51646, 50750, 50290, 50795, 53775, 51918, 73873, 50795, 53136, 52728, 66420, 51923, 71243, 50795, 50799, 71243, 52115, 71243, 51631, 71243, 51736, 56243, 51646, 71243, 51918, 71243, 51798, 71243, 51923, 71243, 50795, 53807, 51112, 50799, 71243, 52115, 61584, 50795, 53775, 51631, 71243, 50795, 54173, 51736, 50750, 50289, 51646, 50750, 50290, 50795, 53775, 51918, 73873, 50795, 54142, 50983, 53136, 58624, 66420, 51923, 71243, 50795, 50799, 71243, 52115, 71243, 51631, 71243, 51736, 56243, 51646, 71243, 51918, 71243, 51798, 71243, 51923, 71243, 50795, 53807, 50807, 50799, 71243, 52115, 61584, 50795, 53775, 51631, 71243, 50795, 54173, 53182, 50750, 50289, 51646, 50750, 50290, 50795, 53775, 51918, 73873, 50795, 53136, 52728, 66420, 51923, 71243, 50795, 50799, 71243, 52115, 71243, 51631, 71243, 51736, 56243, 51646, 71243, 51918, 71243, 51798, 71243, 51923, 71243, 50795, 53807, 51112, 50799, 71243, 52115, 61584, 50795, 53775, 51631, 71243, 50795, 54173, 51736, 50750, 50289, 51646, 50750, 50290, 50795, 53775, 51918, 73873, 50795, 54142, 50983, 53136, 58624, 66420, 51923, 71243, 50795, 50799, 71243, 52115, 71243, 51631, 71243, 51736, 56243, 51646, 71243, 51918, 71243, 51798, 71243, 51923, 71243, 50795, 53807, 50807, 50799, 71243, 52115, 61584, 50795, 53775, 51631, 71243, 50795, 54173, 53182, 50750, 50289, 51646, 50750, 50290, 50795, 53775, 51918, 73873, 50795, 53136, 52728, 66420, 51923, 71243, 50795, 50799, 71243, 56036, 55673, 56645, 52115, 71243, 56645, 51631, 71243, 56036, 55673, 56645, 51736, 56243, 56645, 51646, 71243, 60110, 50877, 55648, 51918, 71243, 51798, 71243, 55673, 51923, 71243, 59006, 57543, 59900, 51091, 50799, 71243, 52115, 61584, 55673, 51631, 71243, 55673, 51736, 50750, 50289, 59006, 51091, 50877, 64740, 50750, 50290, 51918, 73873, 51798, 66420, 51923, 71243, 56036, 50795, 50799, 50750, 50290, 56931, 60110, 50906, 52115, 50750, 50290, 56730, 51631, 50750, 50290, 59006, 56793, 56831, 53182, 50750, 50290, 51646, 73873, 57341, 54828, 54666, 51918, 73873, 51798, 73873, 57341, 56793, 56831, 53312, 73873, 59006, 51091, 50877, 51091, 50799, 63996, 52115, 63996, 51631, 63996, 51736, 73873, 51646, 50750, 50289, 64404, 61336, 56027, 50750, 50289, 51798, 50750, 50287, 51923, 50750, 50289, 50795, 50799, 71243, 56036, 55673, 56645, 52115, 71243, 56645, 51631, 71243, 56036, 55673, 56645, 51736, 56243, 56645, 51646, 71243, 59006, 57543, 59900, 53218, 71243, 51798, 71243, 59006, 57543, 59900, 53312, 71243, 50795, 50799, 71243, 52115, 61584, 51631, 71243, 59006, 57543, 56831, 53182, 50750, 50289, 51646, 50750, 50290, 59006, 57543, 53218, 73873, 51798, 66420, 51923, 71243, 56931, 51091, 50871, 51091, 50906, 51091, 50799, 50750, 50290, 52115, 50750, 50290, 56730, 51631, 50750, 50290, 56931, 60110, 50906, 51736, 50750, 50290, 55673, 51646, 73873, 57341, 55890, 55695, 53218, 73873, 51798, 73873, 55673, 51923, 73873, 59006, 51091, 50877, 51091, 50799, 63996, 52115, 63996, 51631, 63996, 51736, 73873, 51646, 50750, 50289, 56036, 50918, 51028, 56027, 50750, 50289, 51798, 50750, 50287, 55648, 51923, 50750, 50289, 55648, 50795, 50799, 50750, 50290, 56730, 55673, 56645, 52115, 50750, 50290, 56645, 51631, 50750, 50290, 56645, 51736, 50750, 50290, 59006, 51091, 50906, 51091, 50968, 64740, 50750, 50290, 51918, 50750, 50290, 55673, 51798, 50750, 50290, 60110, 50906, 55673, 51923, 50750, 50290, 55673, 50795, 50799, 50750, 50289, 57341, 56036, 55673, 52115, 50750, 50289, 54666, 51631, 50750, 50289, 54666, 51736, 50750, 50289, 55673, 64740, 50750, 50289, 51918, 50750, 50289, 56036, 78776, 50983, 50931, 58624, 71243, 51923, 71243, 50795, 50799, 50750, 50290, 52115, 50750, 50290, 51631, 50750, 50290, 56730, 55673, 56645, 51736, 50750, 50290, 56645, 51646, 50750, 50290, 60110, 50906, 55648, 51918, 50750, 50290, 55673, 51798, 50750, 50290, 56931, 57055, 55695, 53312, 50750, 50290, 50795, 50799, 50750, 50287, 56190, 51161, 50902, 51161, 50931, 73078, 50750, 50287, 51646, 50750, 50287, 52728, 50750, 50287, 50807, 55694, 50983, 50968, 50983, 50951, 60055, 73873, 51631, 73873, 53182, 50861, 51091, 50906, 51091, 50968, 64740, 73873, 53218, 50916, 56730, 55673, 51798, 73873, 55695, 50795, 50799, 63996, 56036, 54666, 52115, 63996, 56036, 54666, 51631, 63996, 56036, 54666, 51736, 63996, 56036, 54666, 51646, 50750, 50289, 56036, 63057, 53218, 50750, 50289, 51798, 50750, 50289, 56036, 63057, 53312, 50750, 50289, 50795, 50799, 71243, 52115, 71243, 51631, 71243, 59006, 57543, 56831, 53182, 71243, 51646, 66420, 56931, 57055, 56793, 53218, 71243, 51798, 73873, 51923, 50750, 50290, 50795, 50799, 50750, 50287, 52115, 50750, 50287, 51631, 50750, 50287, 54828, 56730, 55673, 51736, 50750, 50287, 55673, 51646, 73873, 57341, 54828, 54666, 51918, 73873, 56036, 51798, 73873, 54828, 51923, 73873, 66843, 51091, 50900, 51091, 50871, 51091, 50799, 63996, 52115, 63996, 51631, 63996, 51736, 63996, 51646, 73873, 57341, 61336, 64806, 56027, 73873, 51923, 73873, 50795, 50799, 71243, 56036, 51161, 50902, 51161, 50951, 53561, 71243, 51631, 71243, 56645, 51736, 71243, 55648, 64740, 71243, 51918, 71243, 56645, 51798, 71243, 55648, 51923, 71243, 76291, 50799, 71243, 56036, 55673, 56645, 52115, 71243, 56645, 51631, 71243, 56036, 55673, 56645, 51736, 56243, 56645, 51646, 71243, 60110, 50877, 55648, 51918, 71243, 51798, 71243, 55673, 51923, 71243, 59006, 57543, 59900, 51091, 50799, 71243, 52115, 61584, 55673, 51631, 71243, 55673, 51736, 50750, 50289, 59006, 51091, 50877, 64740, 50750, 50290, 51918, 73873, 51798, 66420, 51923, 71243, 56036, 50795, 50799, 50750, 50290, 56931, 60110, 50906, 52115, 50750, 50290, 56730, 51631, 50750, 50290, 59006, 56793, 56831, 53182, 50750, 50290, 51646, 73873, 57341, 54828, 54666, 51918, 73873, 51798, 73873, 57341, 56793, 56831, 53312, 73873, 59006, 51091, 50877, 51091, 50799, 63996, 52115, 63996, 51631, 63996, 51736, 73873, 51646, 50750, 50289, 64404, 61336, 56027, 50750, 50289, 51798, 50750, 50287, 51923, 50750, 50289, 56036, 50795, 50799, 71243, 56036, 55673, 56645, 52115, 71243, 56645, 51631, 71243, 56036, 55673, 56645, 51736, 56243, 56645, 51646, 71243, 59006, 57543, 59900, 53218, 71243, 51798, 71243, 59006, 57543, 59900, 53312, 71243, 50795, 50799, 71243, 52115, 61584, 51631, 71243, 59006, 57543, 56831, 53182, 50750, 50289, 51646, 50750, 50290, 59006, 57543, 53218, 73873, 51798, 66420, 51923, 71243, 56931, 51091, 50871, 51091, 50906, 51091, 50799, 50750, 50290, 52115, 50750, 50290, 56730, 51631, 50750, 50290, 56931, 60110, 50906, 51736, 50750, 50290, 55673, 51646, 73873, 57341, 55890, 55695, 53218, 73873, 51798, 73873, 55673, 51923, 73873, 59006, 51091, 50877, 51091, 50799, 63996, 52115, 63996, 51631, 63996, 51736, 73873, 51646, 50750, 50289, 56036, 50918, 51028, 56027, 50750, 50289, 51798, 50750, 50287, 55648, 51923, 50750, 50289, 55648, 50795, 50799, 50750, 50290, 56730, 55673, 56645, 52115, 50750, 50290, 56645, 51631, 50750, 50290, 56645, 51736, 50750, 50290, 59006, 51091, 50906, 51091, 50968, 64740, 50750, 50290, 51918, 50750, 50290, 55673 ]

[ 0, 713, 8787, 3152, 15229, 6, 30291, 19, 4785, 9, 3495, 6, 1931, 21683, 41, 14899, 8, 20425, 16464, 4, 590, 10, 20902, 12447, 1001, 20889, 8, 10, 2216, 132, 73, 398, 86, 6543, 6, 24, 18, 10, 15352, 30054, 3251, 14, 18, 686, 7, 22962, 4, 20, 3459, 8669, 6, 38668, 483, 6, 3459, 9590, 6, 8, 3152, 6757, 283, 561, 21040, 9997, 6, 150, 5, 12577, 20642, 478, 3639, 41, 7152, 10619, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 1918, 406, 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 ]

[ 54458, 50426, 50636, 50432, 51401, 54300, 50444, 51208, 60866, 51020, 55345, 51083, 51212, 70973, 51043, 50420, 51268, 56307, 51083, 68181, 51193, 54233, 51061, 68247, 51083, 54058, 51023, 51241, 50456, 51061, 51377, 74290, 77769, 51401, 53466, 51282, 53308, 51401, 56300, 50444, 51208, 63589, 51020, 55670, 51083, 50892, 70973, 64965, 51268, 53172, 51083, 68181, 51193, 54233, 51061, 55945, 51083, 67426, 51023, 51351, 50456, 51061, 51267, 74290, 51233, 50420, 51401, 53172, 51282, 53387, 51401, 52903, 50444, 51208, 51158, 64994, 65458, 51020, 50805, 57381, 52961, 51083, 51111, 55156, 51111, 70973, 51215, 60390, 51215, 50420, 51268, 50805, 62365, 52483, 51083, 50849, 55156, 53308, 51193, 51175, 61297, 76183, 51061, 50873, 55562, 55322, 51083, 50845, 55156, 53562, 51023, 50807, 60390, 53312, 51061, 51121, 55562, 51121, 74290, 51100, 54486, 73965, 51401, 50917, 54601, 56800, 63029, 54837, 52605, 51401, 54300, 54601, 54300, 50444, 51208, 51215, 64994, 67702, 51020, 50849, 57381, 53702, 51083, 51212, 55156, 51212, 70973, 51110, 60390, 75258, 51268, 50849, 62365, 53466, 51083, 50901, 55156, 54777, 51193, 50879, 61297, 55122, 51061, 50873, 55562, 55322, 51083, 50901, 55156, 55125, 51023, 50807, 60390, 77910, 60491, 51289, 64360, 51289, 54038, 51061, 51121, 55562, 51121, 50457, 51289, 58182, 51289, 50837, 74290, 50873, 54486, 50873, 51289, 65533, 51289, 62016, 51289, 53203, 51401, 50873, 54601, 50873, 51289, 53910, 51289, 59761, 51289, 52905, 51282, 50849, 54837, 69012, 51289, 60568, 51289, 69544, 51289, 52975, 51401, 54300, 54601, 54300, 50433, 51289, 59873, 51289, 51031, 50436, 51289, 52676, 50804, 55380, 51208, 51215, 64994, 67702, 51020, 50901, 57381, 50901, 51206, 54070, 50879, 50953, 57676, 51443, 56094, 50456, 51083, 51177, 55156, 51177, 70973, 51048, 60390, 58006, 55633, 52115, 51268, 50849, 62365, 53466, 51083, 50901, 55156, 56794, 54777, 51193, 50879, 61297, 55122, 51061, 50849, 55562, 55163, 55548, 51055, 50444, 51083, 50845, 55156, 53562, 51023, 51159, 60390, 51159, 50852, 56974, 51061, 50873, 55562, 50873, 74290, 50873, 54486, 56895, 54416, 57487, 77599, 54601, 51428, 54851, 51282, 50849, 54837, 55163, 54259, 51401, 54300, 54601, 54300, 50438, 50852, 55732, 56646, 51208, 51111, 64994, 51111, 52936, 50948, 50945, 57322, 51020, 50849, 57381, 53834, 53072, 50917, 50953, 56094, 51443, 56094, 50456, 51083, 50901, 55156, 50901, 70973, 51110, 60390, 64544, 53072, 62340, 51268, 50977, 62365, 60086, 51083, 50987, 55156, 67011, 52605, 51193, 50873, 61297, 54233, 51061, 50866, 55562, 55571, 55548, 51055, 50444, 51083, 50845, 55156, 53562, 51023, 51095, 60390, 70808, 56974, 51061, 51177, 55562, 51177, 74290, 50977, 54486, 71589, 54416, 57487, 51401, 50873, 54601, 55732, 54851, 51282, 50849, 54837, 55163, 54259, 51401, 53090, 54601, 53090, 50438, 50852, 55732, 56646, 51208, 51215, 64994, 51215, 52936, 50948, 50945, 57322, 51020, 50901, 57381, 55998, 53072, 50917, 50953, 56094, 51443, 57676, 50456, 51083, 51177, 55156, 51177, 70973, 51048, 60390, 58006, 53072, 62340, 51268, 50849, 62365, 53466, 51083, 50901, 55156, 56794, 52605, 51193, 50879, 61297, 55122, 51061, 50849, 55562, 55163, 55548, 51055, 50444, 51083, 50845, 55156, 53562, 51023, 51159, 60390, 51159, 50852, 56974, 51061, 50873, 55562, 50873, 74290, 50873, 54486, 56895, 54416, 57487, 77599, 54601, 51428, 54851, 51282, 50849, 54837, 55163, 54259, 51401, 54454, 54601, 54454, 50438, 50852, 55732, 56646, 51208, 51111, 64994, 51111, 52936, 50948, 50945, 57322, 51020, 50849, 57381, 53834, 53072, 50917, 50953, 53898, 51443, 53898, 50456, 51083, 50901, 55156, 50901, 70973, 51110, 60390, 64544, 53072, 62340, 51268, 50977, 62365, 60086, 51083, 50987, 55156, 67011, 52605, 51193, 50873, 61297, 54233, 50852, 55548, 59357, 51580, 50896, 51404, 54526, 50852, 56974, 51409, 51226, 51188, 51226, 57752, 54416, 50917, 55207, 50890, 53951, 56731, 51245, 50894, 51940, 50894, 57363, 53939, 51323, 50894, 52150, 55121, 50873, 57773, 57850, 51839, 50858, 53468, 53474, 56629, 51593, 50859, 53253, 54047, 50880, 53924, 59046, 51478, 51379, 53772, 51379, 50437, 50804, 67166, 50804, 50813, 55258, 54840, 51478, 51090, 53772, 57825, 50879, 51206, 51030, 50953, 51364, 50456, 51478, 50858, 53772, 56860, 51478, 50858, 53772, 50858, 76676, 50948, 53772, 57603, 51111, 51335, 50795, 51213, 66645, 51478, 50893, 53772, 55341, 51770, 51158, 56218, 71003, 52106, 51016, 56652, 51016, 51206, 55998, 68052, 51469, 50438, 50852, 59187, 51770, 50893, 56218, 55260, 51478, 50879, 53772, 54762, 56974, 51593, 51016, 53253, 51016, 57752, 54416, 57487, 51323, 50882, 52150, 57625, 51245, 50858, 51940, 54149, 51497, 50879, 52106, 54762, 54259, 51245, 51354, 51940, 51354, 50438, 50852, 50865, 50440, 51839, 50857, 53468, 63397, 51593, 50862, 53253, 54247, 51478, 51090, 53772, 57825, 50879, 51206, 51030, 50953, 51364, 50456, 51478, 50858, 53772, 56860, 51478, 50858, 53772, 50858, 76676, 50936, 53772, 59872, 51111, 51335, 50795, 51213, 66645, 51478, 50893, 53772, 55341, 51770, 51060, 56218, 61120, 52106, 51090, 56652, 51090, 51206, 55998, 51030, 50945, 51469, 50438, 50852, 55758, 53253, 51496, 50680, 50340, 51496, 50852, 50937, 57752, 54416, 57487, 53468, 50858, 50680, 50338, 55884, 51940, 50858, 60080, 54149, 52106, 50806, 56652, 53072, 54259, 51940, 51354, 60080, 51354, 50438, 50852, 75326, 51839, 50813, 53468, 60672, 51593, 50862, 53253, 54247, 51478, 50824, 53772, 52299, 50879, 51206, 51030, 50953, 68862, 51478, 50858, 53772, 56860, 51478, 50858, 53772, 50858, 76676, 50936, 53772, 59872, 51111, 51335, 50795, 51213, 60055, 51478, 50911, 53772, 56346, 51770, 51173, 56218, 70756, 52106, 51566, 56652, 51566, 51206, 55998, 68052, 76175, 50852, 59187, 51770, 50893, 56218, 55260, 51478, 50879, 53772, 54762, 56974, 51593, 51016, 53253, 51016, 57752, 54416, 57487, 51323, 50859, 52150, 55747, 51245, 50858, 51940, 54149, 51497, 50845, 52106, 56015, 54259, 51245, 51175, 51940, 76183, 50852, 75326, 51839, 50813, 53468, 60672, 51593, 50862, 53253, 54247, 51478, 50824, 53772, 52299, 50879, 51206, 51030, 50953, 68862, 51478, 50858, 53772, 56860, 51478, 50858, 53772, 50858, 76676, 50911, 53772, 55195, 51111, 51335, 50795, 51213, 60055, 51478, 50911, 53772, 56346, 51770, 51060, 56218, 61120, 52106, 51343, 56652, 51343, 51206, 55998, 50936, 50945, 76175, 50852, 55758, 50852, 57564, 63109, 52150, 51016, 59668, 51016, 57752, 56202, 51940, 50948, 60080, 57603, 51631, 51770, 50936, 56218, 57758, 55732, 55214, 52150, 50948, 59668, 50948, 53550, 56646, 51770, 51192, 56218, 51192, 51069, 51732, 50450, 52232, 50879, 57119, 54523, 50938, 51335, 52863, 51245, 50924, 51940, 50924, 50799, 52400, 50911, 65697, 54780, 53072, 62340, 51478, 50865, 53772, 54919, 51245, 50879, 51940, 54762, 52605, 51770, 50879, 56218, 55122, 52232, 50865, 57119, 59553, 53071, 77588, 57285, 51940, 51798, 52400, 50795, 65697, 52152, 52961, 71554, 53772, 50795, 50799, 57285, 51940, 51626, 51460, 50852, 61195, 52150, 51356, 59668, 51356, 50426, 50852, 50859, 51974, 73684, 51500, 50852, 55322, 51770, 51192, 56218, 51192, 51069, 59939, 50450, 52232, 50879, 57119, 54762, 57431, 51245, 50924, 51940, 50924, 50799, 52400, 50911, 65697, 54780, 53072, 62340, 51478, 50865, 53772, 54919, 51245, 50879, 51940 ]

[ 0, 250, 2635, 8, 19448, 15855, 2125, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 18558, 6, 8, 3551, 139, 6, 14, 7630, 6568, 10, 5679, 26709, 8, 3722, 5466, 6, 1969, 13, 10, 822, 19834, 4, 20, 15229, 16, 11, 5, 762, 9, 274, 538, 6, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 29769, 198, 5, 33215, 16739, 9, 274, 6, 1918, 6, 8, 163, 428, 4, 152, 8787, 2125, 2386, 5, 30443, 7, 1950, 4356, 2089, 1090, 1235, 11, 63, 31220, 8, 9066, 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 ]

[ 72191, 54662, 51080, 55285, 51148, 50419, 51050, 51283, 53075, 51318, 50425, 50900, 51470, 51476, 51254, 50431, 50899, 51074, 51410, 50972, 50437, 50900, 52519, 51476, 51965, 50444, 51050, 54848, 53075, 53161, 50451, 51234, 51080, 55285, 51148, 50457, 51050, 51419, 53075, 51134, 51601, 74094, 51476, 73616, 50899, 51376, 51410, 60316, 51339, 51709, 50900, 51679, 56074, 51380, 51476, 51542, 50433, 51050, 51884, 53075, 51481, 50436, 51814, 51470, 64746, 51254, 50440, 51234, 51244, 55285, 51145, 50441, 52052, 51283, 71343, 51318, 50442, 56774, 63160, 51881, 53201, 53181, 54829, 50445, 51050, 51283, 53075, 51318, 55895, 51365, 51476, 51142, 50455, 50899, 51174, 51410, 51058, 50461, 52357, 69476, 50932, 75693, 50974, 51476, 50995, 52478, 52052, 51753, 71343, 51277, 50419, 51050, 50908, 53075, 59045, 51814, 51199, 51120, 52015, 51743, 56599, 64746, 51253, 53655, 51742, 50426, 53879, 64880, 50430, 51027, 51283, 52326, 51318, 50436, 50899, 52216, 50333, 51381, 51410, 50972, 56074, 51419, 50442, 50871, 51174, 51303, 51058, 50449, 50899, 52256, 51146, 51961, 51410, 51679, 54310, 51381, 50456, 51027, 50837, 52326, 50835, 51809, 51234, 51627, 53181, 52783, 55285, 51535, 50417, 52052, 51314, 56774, 58468, 71343, 51244, 50421, 51050, 51542, 53075, 51391, 53523, 51142, 51476, 50933, 50431, 50899, 51174, 51410, 51058, 50436, 50900, 51330, 51476, 66977, 51050, 50870, 52357, 50838, 53075, 50837, 75693, 74307, 51743, 53486, 50447, 51814, 51806, 51120, 52168, 53879, 78198, 64746, 51199, 53655, 52015, 50452, 51027, 51961, 52326, 51381, 50457, 50899, 53131, 50333, 51484, 51410, 51006, 56074, 51480, 51601, 56963, 51303, 68582, 51146, 53674, 54310, 52256, 50421, 50899, 51679, 51410, 51542, 50427, 51027, 50825, 52326, 56516, 51487, 51080, 51197, 52783, 52402, 52378, 57494, 51148, 56139, 51680, 50435, 54959, 63160, 51615, 52378, 50439, 50997, 51627, 52303, 51535, 61614, 51079, 51687, 65390, 50871, 51079, 51303, 68927, 50861, 51542, 51231, 51391, 50461, 50956, 50908, 51687, 50870, 52478, 52255, 52440, 51711, 52147, 50419, 51487, 51199, 58274, 61017, 57494, 51253, 50420, 51503, 51314, 61308, 51244, 50425, 51197, 56458, 56139, 54532, 50430, 51405, 51330, 56822, 50932, 50431, 51176, 51466, 54872, 51330, 50437, 50900, 52518, 51476, 51884, 50443, 51062, 52256, 53171, 51679, 61614, 51797, 51687, 51309, 50451, 50900, 55574, 51476, 53697, 50458, 56774, 55597, 51863, 56515, 51743, 56515, 50459, 51339, 51939, 56074, 51677, 50460, 51234, 52212, 55285, 51490, 52478, 51050, 51199, 53075, 51253, 50423, 77556, 51476, 50933, 50428, 50899, 51254, 51410, 51006, 56014, 52136, 51476, 51637, 63451, 51697, 53075, 71835, 51146, 51447, 51234, 52168, 54310, 51080, 55285, 52015, 50449, 51050, 51878, 53075, 51749, 50455, 50900, 51376, 51476, 51174, 50461, 50899, 51642, 51410, 51423, 52591, 51339, 50995, 56074, 50915, 50421, 50900, 52598, 51476, 51878, 50429, 51050, 56615, 53075, 53957, 50433, 51814, 50959, 64746, 74029, 52052, 51047, 51881, 51314, 53181, 52431, 71343, 51127, 50439, 51234, 51535, 52123, 56563, 51612, 65825, 55285, 51397, 50445, 51050, 51381, 53075, 51419, 50449, 50900, 51210, 51476, 51051, 50455, 50899, 51376, 51410, 51174, 50460, 52357, 61528, 51333, 52623, 61887, 52184, 72057, 52402, 51709, 75693, 50892, 51476, 51108, 52478, 51050, 50837, 52052, 51079, 53075, 50835, 71343, 67132, 51783, 64880, 52037, 78927, 50423, 51814, 51411, 51120, 52168, 51881, 54143, 51743, 54171, 64746, 51400, 53655, 52015, 50424, 53879, 78927, 50428, 51027, 51627, 52326, 51535, 50434, 50899, 52104, 50333, 51419, 51410, 50838, 56074, 51134, 50441, 50871, 51697, 51303, 51432, 50447, 51146, 52136, 54310, 51637, 50448, 50899, 52519, 51410, 51965, 50456, 51027, 50941, 52326, 50864, 50799, 53181, 51680, 50415, 56774, 56329, 52123, 56458, 51612, 65825, 50416, 52052, 51477, 51234, 51314, 71343, 51310, 55285, 51244, 50422, 51050, 51484, 53075, 51480, 53523, 51142, 51476, 50933, 50431, 50899, 51210, 51410, 51051, 50436, 50900, 51709, 52357, 51380, 52623, 55584, 52184, 64399, 52402, 51253, 51476, 51380, 75693, 51312, 50441, 51050, 50870, 53075, 59843, 51120, 51314, 51783, 58468, 52037, 70316, 53655, 51244, 50446, 51814, 51534, 53879, 58468, 51881, 51803, 51743, 52980, 64746, 74047, 51027, 51961, 52326, 51381, 50455, 50899, 53131, 50333, 51480, 51410, 51006, 56074, 51025, 50460, 50871, 51470, 51303, 51254, 52177, 51146, 51108, 54310, 51097, 50418, 50899, 51333, 51410, 51108, 50424, 51027, 50837, 52326, 68564, 51555, 50364, 50412, 52290, 50361, 50412, 50429, 52402, 51965, 51615, 51637, 50430, 51487, 51148, 51197, 55586, 54959, 55776, 57494, 51047, 56139, 53486, 50435, 50997, 51627, 52303, 51535, 50440, 50956, 51254, 51687, 51006, 50445, 50871, 51079, 51303, 70792, 50861, 51627, 51231, 51535, 50457, 50956, 50891, 51687, 50863, 51601, 51487, 51381, 57494, 51419, 50416, 58274, 57232, 52255, 51748, 51711, 52062, 50417, 51503, 53486, 61308, 52783, 50422, 51197, 53055, 56139, 52147, 50428, 51405, 51961, 56822, 51381, 50429, 51176, 51965, 54872, 51283, 50435, 50900, 52482, 51476, 51797, 50442, 51062, 51965, 53171, 51283, 50443, 50956, 51797, 51687, 51309, 50451, 50900, 52056, 51476, 51709, 50459, 56774, 63712, 51722, 50361, 50412, 53755, 50359, 50412, 50460, 51234, 52980, 51339, 52062, 51743, 58728, 51863, 58643, 55285, 52168, 56074, 52151, 52591, 51050, 51878, 53075, 51749, 53523, 51166, 51476, 56427, 50899, 50972, 51410, 50974, 50439, 50900, 52519, 51476, 51965, 50444, 51050, 52518, 53075, 51884, 50451, 51146, 51199, 51234, 51803, 54310, 51253, 55285, 51452, 50457, 51050, 51244, 53075, 51145, 51809, 50900, 51074, 51476, 50972, 63715, 53010, 51410, 52063, 50429, 50900, 51108, 51476, 51097, 50437, 51050, 50825, 53075, 57028, 51146, 51703, 51863, 53486, 54310, 51447, 50446, 51487, 51080, 53155, 60237, 51555, 60237, 52290, 76492, 51615, 51314, 57494, 51148, 50447, 51026, 52015, 52690, 51742, 50448, 52052, 52598, 71343, 51878, 50452, 50899, 51283, 51410, 51318, 50457, 50861, 51961, 51231, 51381, 51601, 50877, 51074, 51249, 50972, 50422, 50906, 50838, 51414, 68751, 50877, 56615, 51249, 53957, 50428, 52357, 50825, 75693, 57107, 51146, 52136, 51120, 51080, 54310, 51637, 53655, 51148, 50434, 51339, 51381, 53879, 56329, 51743, 52407, 51881, 52407, 51656, 52407, 56074, 51419, 50435, 51814, 51709, 51783, 63160, 52037, 76395, 64746, 51380, 50439, 51027, 51679, 52326, 51542, 55989, 51254, 51410, 51006, 50449, 63006, 51303, 68243, 51339, 50851, 56074, 75404, 50899, 51108, 51410, 51097, 50460, 51027, 50837, 52326, 50835, 51809, 51062, 52482, 53171, 51797, 50417, 51405, 53010, 52255, 52598, 51711, 52263, 56822, 52063, 50418, 52052, 52169, 50288, 52783, 58274, 54573, 52623, 61653, 52184, 76492, 71343, 50978, 61308, 51680, 50424, 51197, 51490, 56139, 51314, 50429, 52128, 53131, 50300, 51108, 67686, 51006, 54872, 51097, 69374, 51277, 51476, 51242, 50440, 51487, 50870, 57494, 55788, 50956, 51481, 51687, 51328, 50448, 75716, 51476, 60201, 52123, 64880, 51612, 78927, 50454, 51081, 54228, 51234, 51742, 51743, 51878, 51881, 52598, 52932, 53674, 55285, 51790, 50455, 51146, 51330, 56774, 55490, 53181, 54557, 54310, 56109, 51339, 51333, 56074, 51108, 50460, 51050, 51627, 53075, 51535, 53069, 50900, 51432, 51476, 51074, 78091, 52063, 51410 ]

[ 0, 250, 32625, 5175, 25771, 15229, 14, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 4, 20, 2635, 20889, 8, 5, 204, 73, 306, 86, 6543, 1045, 10, 3366, 219, 5466, 6, 150, 5, 6755, 12547, 6, 13305, 6, 21979, 8669, 6, 5921, 3343, 1290, 642, 5255, 6, 8, 18558, 10, 25118, 35810, 561, 15352, 30054, 8, 3722, 32343, 4, 8504, 11, 5, 762, 9, 381, 3694, 6, 5, 2214, 1575, 10, 33215, 16739, 9, 3676, 6, 230, 6, 211, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57528, 57377, 51241, 51688, 78160, 51217, 51806, 69014, 50423, 50885, 52407, 50909, 51397, 50429, 77934, 50850, 53961, 51217, 53486, 50433, 50868, 51542, 50435, 75823, 50850, 54123, 50988, 51310, 50439, 50847, 51283, 58463, 52059, 50909, 51412, 50447, 51149, 51391, 50868, 51627, 50453, 50885, 51470, 59995, 50456, 50988, 51376, 57230, 50459, 50885, 52056, 50460, 50909, 51380, 57377, 51391, 51688, 62912, 51217, 51709, 69014, 50423, 72537, 50885, 51448, 50429, 79285, 79718, 50909, 51134, 50432, 51217, 54829, 50433, 50868, 51542, 50435, 66190, 50850, 54123, 50988, 51637, 50439, 50847, 51295, 58463, 51642, 50909, 51412, 50447, 50868, 51381, 51149, 51391, 50453, 74305, 59995, 50456, 50988, 51376, 57230, 50459, 50885, 51166, 50460, 50909, 51423, 57377, 51542, 51688, 51244, 50415, 53918, 74523, 51217, 51806, 69014, 50423, 50909, 51627, 50885, 62666, 54615, 60412, 77934, 57134, 50432, 53918, 50833, 51217, 51466, 50433, 50868, 51380, 50435, 53719, 51159, 75823, 50850, 51477, 50438, 50946, 51419, 51688, 51314, 66368, 50813, 51217, 51806, 50447, 50909, 51134, 50885, 52256, 50450, 53036, 75409, 77934, 50850, 54752, 53036, 50917, 51217, 51470, 50457, 61117, 50459, 61859, 75823, 50799, 53036, 51159, 50872, 51419, 51164, 51477, 67653, 52460, 50850, 51412, 50423, 50909, 51381, 50885, 51244, 50427, 53036, 69353, 64803, 50946, 55378, 52817, 50855, 51164, 51166, 50433, 70177, 50435, 52817, 51124, 75823, 50850, 51477, 50438, 50848, 51419, 51171, 51637, 50444, 53036, 65376, 51852, 50847, 51412, 50447, 50935, 51391, 51042, 52256, 50450, 52817, 75409, 50988, 50886, 50847, 54752, 52756, 51393, 50294, 51470, 50457, 58856, 50459, 60179, 50988, 51079, 50799, 53719, 51267, 50885, 51423, 51332, 51477, 50420, 50988, 51852, 50847, 51412, 50423, 50909, 51679, 50885, 51381, 50429, 50988, 50886, 50847, 53860, 51332, 51166, 50433, 61117, 50435, 50988, 50912, 50847, 51534, 50438, 50868, 51419, 51217, 51679, 50444, 50988, 51852, 77543, 50447, 50935, 51134, 51042, 52256, 50453, 51217, 51423, 72981, 50456, 51332, 51470, 50457, 50885, 51381, 50459, 50988, 50971, 57377, 51419, 51688, 51244, 50415, 53918, 74523, 51217, 51806, 69014, 50423, 50909, 51627, 50885, 75498, 54615, 60412, 77934, 57134, 50432, 53918, 50833, 51217, 51466, 50433, 50868, 51380, 50435, 53719, 51159, 75823, 50850, 51477, 50438, 50946, 51419, 51688, 51314, 66368, 50813, 51217, 51806, 50447, 50909, 51391, 50885, 52256, 50450, 53036, 75409, 77934, 50850, 54752, 53036, 50917, 51217, 51470, 50457, 61117, 50459, 61859, 75823, 50799, 53036, 51159, 50872, 51412, 51164, 51318, 67653, 52460, 50850, 51412, 50423, 61395, 66399, 50427, 53036, 69353, 64803, 50946, 55378, 52817, 50937, 51164, 51166, 50433, 65539, 50435, 75823, 50850, 51477, 50438, 52817, 56954, 51419, 51171, 51637, 50441, 53036, 55322, 50988, 51852, 50847, 51412, 50447, 52817, 50917, 50935, 51391, 51042, 52256, 50453, 52756, 51178, 50988, 50886, 50847, 54752, 51171, 51470, 50457, 58856, 50459, 60179, 50988, 51079, 59560, 51233, 51332, 79311, 53918, 50840, 50988, 52034, 50847, 51412, 50423, 53918, 60940, 51391, 50885, 69790, 53918, 56865, 53918, 72526, 50886, 50847, 53860, 51332, 51166, 50433, 53918, 50938, 61117, 50435, 50988, 50912, 50847, 51534, 50438, 50868, 51309, 51217, 51391, 50439, 54615, 51141, 57403, 51330, 51007, 50915, 50447, 50868, 51766, 50320, 66941, 50868, 51681, 50320, 53586, 50848, 51470, 50457, 51007, 72486, 61047, 51149, 51244, 61281, 51477, 79172, 50415, 53918, 63814, 54615, 62714, 51396, 51852, 77570, 50423, 50935, 51191, 51042, 51961, 50424, 53036, 55640, 70618, 73055, 51396, 50886, 50992, 72416, 54615, 65903, 51217, 51166, 50433, 64663, 50435, 51396, 50941, 64786, 50437, 50946, 51293, 50438, 56090, 51377, 52133, 51313, 52033, 52151, 51656, 51662, 50741, 50289, 51655, 58279, 51696, 50801, 50376, 55958, 67152, 62294, 51313, 50439, 53036, 51945, 50850, 51353, 68959, 53114, 52806, 71149, 51774, 50849, 51660, 50849, 51440, 52596, 56090, 51116, 50453, 52806, 70854, 51774, 51100, 51660, 51100, 51440, 51111, 50799, 56090, 51221, 52626, 50805, 51711, 50938, 50417, 52806, 51221, 50419, 53499, 52864, 51774, 50873, 51660, 50873, 51440, 50805, 52187, 57572, 56090, 51191, 50425, 51656, 52483, 52806, 51110, 52430, 58983, 51774, 51194, 51660, 51178, 51440, 51095, 50431, 52033, 52605, 52225, 52446, 53369, 51377, 52133, 51148, 51743, 51148, 52430, 51077, 51656, 50918, 72410, 50918, 60082, 55755, 55604, 50801, 53114, 51774, 71149, 51515, 50805, 51440, 50849, 51607, 53794, 53369, 51116, 51848, 54094, 55097, 51774, 70854, 51515, 50805, 51440, 50849, 51607, 54754, 56834, 52137, 51077, 78940, 51221, 51615, 51077, 53541, 51148, 51881, 51148, 68008, 50918, 57914, 55755, 56390, 52745, 51221, 50420, 51614, 50805, 51434, 50873, 51808, 60522, 52769, 75749, 52745, 51110, 51848, 54094, 54956, 51614, 51095, 51434, 51194, 51808, 51178, 50438, 56090, 51377, 52133, 51047, 52033, 51151, 52430, 51077, 51656, 50918, 50741, 50289, 51336, 58279, 55755, 50376, 55958, 67152, 54905, 50801, 53114, 52806, 71149, 51774, 50805, 51660, 50849, 51440, 53794, 56090, 51116, 51848, 54094, 55097, 52806, 70854, 51774, 50805, 51660, 50849, 51440, 54754, 50825, 50799, 55243, 51221, 53541, 51151, 52430, 51077, 51656, 50918, 74773, 59578, 50834, 58012, 50977, 50417, 52745, 51221, 50420, 51660, 50805, 51440, 50873, 51808, 50873, 56333, 75827, 55243, 75749, 52745, 51110, 51848, 54094, 50829, 58424, 66942, 51660, 51095, 51440, 51194, 51808, 71992, 56333, 60592, 55243, 51377, 51660, 50805, 51929, 50849, 51808, 50849, 52033, 51047, 52255, 50918, 53188, 51077, 58012, 61985, 52745, 50878, 56333, 79860, 51660, 50805, 51929, 50849, 51808, 53794, 55243, 51363, 70618, 50889, 58424, 77843, 52745, 51412, 50456, 54813, 51138, 51660, 50805, 51929, 50849, 51808, 50849, 56333, 50854, 70109, 50890, 56090, 51377, 53918, 51175, 52133, 51353, 52033, 51353, 51656, 51353, 52626, 51127, 58279, 51359, 55091, 75195, 63465, 50837, 58012, 65314, 52475, 51941, 50801, 53023, 52806, 61965, 50870, 56220, 66700, 51774, 50849, 51660, 50805, 51440, 51650, 52966, 56090, 50991, 54615, 54581, 53110, 50829, 55871, 50955, 50429, 52806, 71992, 51774, 51100, 51660, 51111, 51440, 51060, 53918, 53841, 54493, 50870, 56220, 57815, 53719, 78590, 56090, 51221, 52225, 51127, 65042, 50837, 58012, 60844, 52806, 78373, 51774, 50849, 51660, 50873, 51440, 53592, 50870, 56220, 78566, 56090, 68393, 52846, 52806, 51110, 53036, 56956, 56340, 52995, 50829, 55871, 50955, 50453, 51774, 51178, 51660, 51178, 51440, 58760, 52475, 50948, 53036, 61468, 53612, 50870, 56220, 50866, 58777, 50890, 53369, 51377, 53036, 51290, 52133, 51127, 51743, 51127, 52036, 51127, 51656, 51127, 60082, 51127, 52983, 51127, 65042, 50837, 57016, 65314, 51758, 68393, 53023, 51774, 61965, 50870, 56220, 66700, 51515, 50795, 51440, 50849, 51607, 52862, 52966, 53369, 50991, 53036, 54593, 53110, 50829, 55871, 50955, 50429, 51774, 71992, 51758, 50924, 51515, 50795, 51440, 50849, 51607, 50805, 52817, 53672, 54493, 50870, 56220, 57815, 52817, 51238, 50437, 52137, 64345, 51995, 51343, 52769, 51221, 51615, 51127, 53541, 51127, 51881, 51127, 57914, 51127, 53254, 51127, 65042, 50837, 56333, 60844, 52745, 78373, 51614, 50795, 51434, 50849, 51808, 50873, 53036, 56473, 50870, 58424, 78566 ]

[ 0, 713, 5679, 26709, 5175, 2214, 11, 381, 3694, 1575, 3459, 8, 21979, 29589, 6, 38668, 2236, 6, 31391, 1672, 9590, 6, 8, 38668, 11212, 6, 2351, 10, 19448, 8, 15352, 30054, 5466, 19, 10, 11602, 9, 1619, 4780, 4, 20, 20889, 16, 278, 23, 41, 12447, 1001, 2877, 9, 18872, 741, 1685, 6, 8, 5, 2125, 3905, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 33215, 16739, 9, 3676, 6, 1918, 6, 211, 406, 73, 597, 10431, 6, 272, 6, 8, 230, 119, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50799, 55239, 55723, 53091, 52931, 53136, 50879, 59007, 50978, 59995, 50909, 59790, 56238, 56729, 51637, 50885, 51477, 51217, 51310, 50988, 51637, 51332, 52222, 51416, 53241, 54173, 59155, 53336, 77734, 50847, 58846, 60046, 51253, 50909, 51199, 54173, 71201, 59300, 50885, 67016, 50847, 57093, 50974, 54173, 50910, 50431, 50868, 53387, 61999, 60395, 50988, 60925, 52056, 63153, 60154, 71873, 51217, 51535, 54173, 55236, 55622, 74878, 50868, 68253, 51380, 50885, 51097, 54173, 50952, 50443, 50909, 55103, 74305, 63299, 63299, 62848, 74300, 54173, 53484, 69197, 50868, 58507, 56990, 66015, 51576, 50885, 51411, 50885, 54344, 65107, 54173, 59349, 59300, 57420, 58056, 54173, 50940, 50799, 63833, 63833, 50848, 59718, 61678, 67045, 51806, 50868, 51295, 51217, 51244, 51396, 51680, 51910, 52208, 54173, 58768, 54031, 58661, 68386, 50992, 55711, 51380, 50935, 51109, 54173, 58798, 51042, 51470, 50992, 57070, 50935, 51376, 50848, 51074, 54173, 51336, 50432, 50848, 60308, 55711, 50915, 60104, 75998, 77295, 51042, 65345, 54292, 78343, 50848, 51501, 50296, 51627, 50444, 51396, 51824, 70987, 50848, 64232, 57597, 58244, 68711, 50848, 64533, 50848, 66988, 56347, 51393, 50300, 52059, 50848, 51233, 50935, 51337, 50868, 59827, 58816, 62993, 70392, 57377, 51174, 62783, 62783, 50868, 55077, 56219, 56011, 59324, 51318, 51217, 51314, 51349, 51469, 54173, 53703, 54031, 61999, 50868, 54954, 59627, 51199, 64804, 61560, 74087, 54173, 53244, 50885, 60046, 56219, 50845, 54173, 54372, 50868, 62033, 56729, 51806, 75641, 61560, 62781, 50946, 53280, 50946, 56329, 54173, 58546, 54292, 69501, 50868, 71898, 51965, 54173, 50940, 58463, 51254, 65999, 63299, 72074, 50868, 56219, 50905, 54173, 57322, 50946, 67923, 56219, 55109, 51411, 50868, 51025, 75641, 74087, 53136, 55764, 57835, 64803, 54173, 50924, 50799, 57140, 59027, 50946, 60366, 56743, 56204, 56219, 59324, 52168, 51171, 51592, 51181, 52392, 53775, 55955, 53829, 59458, 72074, 50848, 59467, 51466, 61542, 50872, 77426, 53807, 52483, 58856, 50872, 56011, 51079, 53775, 54729, 50850, 56204, 51267, 50946, 51108, 61542, 59762, 59381, 62615, 54173, 55855, 54292, 50850, 51824, 53136, 51918, 50946, 51376, 50946, 51006, 50848, 57053, 56204, 55808, 56219, 56342, 50805, 53091, 51798, 62587, 66215, 50872, 57349, 51312, 51171, 51466, 50946, 52397, 50946, 51108, 70985, 59381, 50454, 51349, 73499, 58752, 50848, 58736, 50901, 53136, 51227, 57342, 51058, 57140, 59458, 59027, 50872, 58469, 50313, 59324, 50932, 50946, 51542, 51171, 51318, 51181, 51274, 52166, 53203, 50848, 58736, 54879, 55711, 51212, 75400, 79934, 53136, 50893, 57451, 50946, 50984, 57884, 61232, 64803, 54173, 50893, 54680, 52953, 75548, 76158, 50988, 51333, 50848, 64986, 50915, 74032, 50988, 51283, 51171, 51703, 51137, 50921, 53775, 50879, 64547, 72090, 50935, 67272, 53807, 51370, 53114, 64730, 50848, 55808, 56204, 57597, 57597, 50873, 69789, 53136, 51158, 51468, 50445, 50988, 51961, 50450, 63588, 63833, 50848, 57076, 57749, 56659, 51233, 50988, 51738, 51910, 50936, 51287, 50969, 54450, 50872, 62122, 50855, 54173, 51274, 51842, 59007, 50978, 59995, 50909, 59790, 56238, 56729, 51637, 50885, 51477, 51217, 51310, 50988, 51637, 51332, 52222, 51416, 51274, 58805, 53829, 77734, 50847, 58846, 60046, 51253, 50909, 51199, 51842, 50425, 59300, 50885, 67016, 50847, 57093, 50974, 56319, 59277, 50868, 53387, 61999, 60395, 50988, 60925, 52056, 63153, 60154, 71873, 51217, 51535, 51416, 50936, 52166, 52742, 74878, 50868, 68253, 51380, 50885, 51097, 51468, 50443, 50909, 55103, 74305, 63299, 63299, 62848, 74300, 61625, 69197, 50868, 58507, 56990, 66015, 51576, 50885, 51411, 50885, 54344, 65107, 54680, 53137, 59300, 57420, 58056, 51970, 50460, 51164, 51477, 50461, 50946, 50932, 50946, 51381, 51791, 54228, 51164, 51419, 54992, 50812, 61464, 55808, 58649, 56990, 55109, 50915, 79845, 51132, 51343, 53775, 54452, 51135, 56127, 53775, 50890, 54992, 66356, 54992, 57437, 59458, 50872, 57093, 59157, 55789, 50909, 51267, 77043, 53775, 50911, 51960, 50425, 53873, 54335, 50946, 51376, 61395, 50885, 62707, 51074, 54173, 50879, 75579, 60854, 50872, 51365, 50431, 54992, 51380, 50432, 61999, 50988, 67923, 57093, 56729, 50995, 60104, 50909, 68420, 55002, 51416, 51192, 53775, 51158, 51897, 57004, 51217, 51965, 51332, 52598, 50438, 50988, 51330, 54173, 50879, 51468, 76858, 51254, 50868, 57245, 51108, 50443, 53873, 51481, 58463, 60398, 56467, 57093, 58649, 51109, 60347, 51217, 51058, 50868, 57093, 60148, 51709, 50885, 51312, 65131, 75579, 65134, 50988, 52378, 50868, 51411, 50456, 59300, 50909, 67146, 50905, 51842, 50461, 54992, 50812, 59008, 50978, 51164, 50987, 59458, 62137, 50885, 57076, 56990, 59324, 51108, 50946, 50932, 75714, 51132, 51173, 53775, 50930, 58805, 56092, 53775, 50890, 54992, 54611, 51164, 51006, 50885, 58590, 56743, 57093, 50915, 71873, 51137, 50921, 53775, 50911, 54992, 51177, 57451, 59458, 51164, 74620, 57245, 50901, 54173, 50879, 53873, 50905, 54680, 52818, 50868, 51267, 50909, 51109, 50909, 51056, 50988, 51333, 50885, 51108, 64583, 61560, 51332, 51637, 50988, 55002, 51217, 51244, 51338, 51343, 53775, 51013, 54992, 51097, 58805, 50895, 51570, 53027, 50988, 51824, 64060, 62848, 50868, 55077, 73673, 54173, 50892, 53873, 50974, 51960, 50445, 50885, 67042, 63299, 51332, 53680, 50308, 57750, 58846, 60148, 51806, 50988, 51806, 77043, 58285, 53659, 53137, 61117, 61117, 50909, 62707, 50838, 51960, 50799, 62137, 58056, 51164, 58736, 56204, 62756, 51380, 50885, 51267, 51164, 51097, 50946, 50932, 58285, 51132, 51343, 53775, 50930, 54992, 50812, 58805, 57705, 53775, 50880, 54992, 53227, 50872, 56990, 55808, 51212, 50909, 51101, 51164, 52188, 53775, 50911, 54992, 50845, 60656, 50946, 52192, 65998, 66033, 50909, 50873, 54173, 50806, 53873, 50845, 54680, 58815, 50868, 52731, 50431, 54992, 57547, 50909, 51377, 50988, 52996, 65131, 61560, 60104, 71873, 78007, 50988, 51148, 51416, 51033, 53775, 51173, 60524, 65109, 51217, 51253, 51332, 54498, 54173, 51370, 59692, 53873, 55103, 51217, 51254, 50988, 51824, 65671, 62848, 50885, 60046, 58451, 50905, 51910, 50806, 53136, 50879, 51468, 50445, 51332, 52441, 50449, 53686, 58038, 61999, 60490, 58056, 51217, 52347, 50304, 55905, 56467, 60148, 51576, 51416, 50948, 54680, 59528, 53091, 72670, 53274, 66913, 79381, 61220, 63299, 50885, 59599, 52312, 50299, 55778, 50868, 51328, 51960, 50457, 51217, 51079, 50458, 54173, 50795, 58282, 50915, 51684, 53241, 53873, 51328, 50816, 53790, 57056, 64178, 79063, 58082, 52731, 50946, 50363, 50815, 50301, 57053, 51681, 50294, 52011, 51171, 51097, 53136, 51358, 50421, 56806, 55586, 62810, 55257, 54558, 50306, 62756, 53697, 51171, 57547, 51171, 51470, 57140, 50944, 51470, 50946, 55711, 51867, 50294, 54975, 50946, 51824, 50946, 55711, 59718, 57999, 51501, 50294, 50914, 51322, 57522, 50946, 51470, 60893, 50944, 51824, 50946, 56659, 51867, 50294, 50943, 51322, 56881, 50946, 52312, 50301, 58580, 67682, 57898, 57574, 50294, 50967, 51171, 51738, 51322, 55162, 51171, 63580, 56611, 60366, 57999, 52347, 50301, 52136, 51322, 50851, 57342, 51006, 50848, 50924, 51171, 54558, 50294, 63580, 60695, 51097, 51684, 50795, 52468, 50984, 51322, 67041, 53403, 51171, 51174, 51171, 59627, 56659, 76475, 50849, 51684, 50800, 51322, 59756, 59043, 52468, 58844 ]

[ 0, 250, 765, 6, 1769, 12, 20764, 5175, 37903, 11, 381, 3694, 6, 4246, 10, 15352, 30054, 13305, 483, 14, 7630, 6568, 41, 20425, 8, 25306, 5466, 19, 10, 11602, 9, 15073, 6, 70, 150, 6780, 10, 5204, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 67004, 51279, 71509, 60472, 55041, 51279, 78184, 71509, 54335, 51279, 78184, 68081, 55544, 51279, 78184, 71509, 54137, 51279, 53131, 50313, 63257, 55200, 51279, 53535, 50313, 67891, 56697, 51279, 53535, 50313, 63257, 56711, 51279, 53535, 50313, 67891, 50905, 55547, 51753, 50916, 56943, 55041, 51247, 51283, 50877, 51965, 50876, 51318, 50438, 51214, 51244, 50973, 51314, 50902, 51145, 55547, 71509, 60472, 55041, 51279, 78184, 71509, 54335, 51279, 78184, 68081, 55544, 51279, 78184, 71509, 54137, 51279, 53131, 50313, 63257, 55200, 51279, 53535, 50313, 67891, 56697, 51279, 53535, 50313, 63257, 56711, 51279, 53535, 50313, 67891, 50905, 55547, 51753, 50916, 56943, 55041, 51247, 51283, 50877, 51965, 50876, 51318, 50438, 51214, 51244, 50973, 51314, 50902, 51145, 76956, 51753, 50877, 51680, 50999, 51742, 50420, 51279, 55752, 53667, 57524, 51279, 55659, 53667, 59837, 51279, 80095, 52104, 50327, 54323, 53667, 64900, 75934, 54509, 51279, 70358, 52104, 50330, 50905, 76956, 51753, 50968, 51517, 50332, 60115, 51279, 55752, 53667, 70358, 52026, 50330, 57648, 51279, 55659, 53667, 64900, 52026, 50328, 59242, 51279, 56989, 53667, 80095, 52026, 50327, 58843, 51279, 51074, 76956, 51753, 50876, 65348, 55041, 51279, 65351, 52104, 50325, 54335, 53667, 65351, 73276, 55544, 51279, 65351, 52104, 50325, 54137, 53667, 78912, 68081, 55200, 51279, 78912, 71509, 54323, 53667, 65351, 73276, 54509, 51279, 80095, 52104, 50327, 50905, 50799, 55774, 51884, 50902, 77868, 55041, 51214, 64900, 52104, 50328, 54335, 55774, 52511, 50315, 51853, 50327, 54342, 51214, 70358, 52783, 51146, 51803, 50438, 55774, 59837, 51214, 56989, 55774, 62524, 51214, 51074, 76956, 51753, 50877, 51680, 50999, 51742, 50420, 51279, 55752, 53667, 57524, 51279, 55659, 53667, 59837, 51279, 80095, 52104, 50327, 54323, 53667, 64900, 75934, 54509, 51279, 70358, 52104, 50330, 50905, 76956, 51753, 50968, 51517, 50332, 60115, 51279, 55752, 53667, 70358, 52026, 50330, 57648, 51279, 55659, 53667, 64900, 52026, 50328, 59242, 51279, 56989, 53667, 80095, 52026, 50327, 58843, 51279, 51074, 76956, 51753, 50876, 65348, 55041, 51279, 65351, 52104, 50325, 54335, 53667, 65351, 73276, 55544, 51279, 65351, 52104, 50325, 54137, 53667, 78912, 68081, 55200, 51279, 78912, 71509, 54323, 53667, 65351, 73276, 54509, 51279, 80095, 52104, 50327, 50905, 50799, 55774, 51884, 50902, 57643, 77868, 55041, 51214, 64900, 71509, 52104, 50328, 54335, 55774, 52511, 50315, 66918, 51853, 50327, 54342, 51214, 70358, 51965, 50951, 51965, 51146, 51318, 50438, 55774, 59837, 51214, 56989, 55774, 52511, 50320, 51853, 50332, 54509, 51214, 70358, 52104, 50330, 50905, 54197, 63257, 65348, 55041, 51050, 65351, 52104, 50325, 54335, 51027, 65594, 66257, 54342, 51050, 64900, 52104, 50328, 54137, 50900, 67252, 73276, 55200, 51050, 69442, 75598, 54323, 50916, 67891, 75934, 54509, 51050, 65351, 52104, 50325, 50905, 54955, 66918, 77868, 55041, 51026, 80095, 52104, 50327, 54335, 51086, 64675, 68636, 54342, 51026, 70358, 52104, 50330, 54137, 50899, 78288, 51853, 50327, 55200, 51026, 65721, 72895, 54323, 50871, 73585, 51853, 50330, 54509, 51026, 80095, 52104, 50327, 50905, 56310, 68081, 51260, 50332, 55041, 51027, 64900, 52104, 50328, 50905, 53523, 67252, 73276, 54342, 51027, 72713, 52104, 50332, 54137, 50916, 67891, 75934, 55200, 51027, 65351, 52104, 50325, 54323, 50861, 72895, 51853, 50335, 54509, 51027, 53535, 50321, 52104, 50333, 50905, 56310, 68081, 60472, 51260, 50332, 55041, 51027, 74056, 72895, 52104, 50333, 50905, 53523, 71509, 73276, 51853, 50332, 54342, 51027, 64900, 52783, 50968, 52783, 51062, 51803, 59419, 59388, 51027, 56989, 51279, 59435, 51027, 51074, 57551, 51481, 50876, 58903, 65348, 55041, 51247, 65351, 67891, 52104, 50325, 54335, 51085, 65594, 63257, 66257, 54342, 51247, 64900, 71509, 52104, 50328, 54137, 55123, 65351, 63257, 73276, 55200, 51247, 69442, 67891, 75598, 54323, 55123, 75370, 68081, 75934, 54509, 51247, 65351, 67891, 52104, 50325, 50905, 50799, 55774, 51884, 50902, 57643, 77868, 55041, 51214, 80095, 73585, 52104, 50327, 54335, 55774, 71395, 66918, 68636, 54342, 51214, 70358, 75598, 52104, 50330, 54137, 55774, 80095, 66918, 51853, 50327, 55200, 51214, 65721, 73585, 72895, 54323, 55774, 76283, 66257, 51853, 50330, 54509, 51214, 80095, 73585, 52104, 50327, 50905, 76956, 51753, 50968, 57945, 51260, 50332, 55041, 51279, 64900, 71509, 52104, 50328, 54335, 53667, 65351, 68081, 73276, 54342, 51279, 72713, 72895, 52104, 50332, 54137, 53667, 64900, 68081, 75934, 55200, 51279, 65351, 71509, 52104, 50325, 54323, 53667, 74337, 51853, 50327, 51853, 50335, 54509, 51279, 74056, 52104, 50325, 52104, 50333, 50905, 76956, 51753, 50968, 57945, 51260, 50332, 55041, 51279, 74056, 52104, 50325, 52104, 50333, 54335, 53667, 72713, 68636, 51853, 50332, 54342, 51279, 77882, 52783, 51062, 52783, 51814, 51803, 50438, 53667, 59837, 51279, 56989, 53667, 59435, 51279, 51074, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 182, 765, 37903, 9, 5175, 930, 11, 211, 3694, 6, 4246, 10, 881, 13931, 9, 211, 119, 6, 163, 428, 6, 83, 12361, 6, 272, 119, 6, 8, 163, 428, 40286, 6, 25451, 23, 10, 23667, 27841, 139, 20889, 11, 204, 73, 306, 86, 6, 7630, 14805, 10, 11739, 9, 20425, 6, 2933, 6, 8, 15352, 30054, 6711, 29, 6, 2905, 10686, 13, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 65919, 50902, 52910, 50861, 51736, 50902, 51646, 51001, 51918, 50861, 51798, 50899, 51923, 50902, 50795, 54206, 54828, 52115, 51026, 51620, 50899, 54828, 51736, 51026, 51724, 50861, 56730, 51918, 50997, 51757, 50861, 56730, 51923, 50997, 50800, 57923, 52910, 50861, 51736, 51001, 51646, 50956, 51918, 50861, 51798, 50956, 51923, 51001, 50795, 55694, 55673, 52115, 50899, 51620, 50906, 55673, 51736, 50899, 51724, 50877, 54666, 51918, 50900, 51757, 50877, 54666, 51923, 50900, 77724, 50795, 55694, 55673, 51631, 50861, 51736, 50956, 51646, 50900, 51918, 51120, 52513, 50900, 51757, 50956, 51923, 50906, 50795, 57923, 51631, 51001, 51736, 50906, 51646, 50861, 51918, 51197, 52513, 50956, 51757, 50906, 51923, 51001, 50795, 55694, 55673, 52115, 51120, 51620, 50902, 51736, 50906, 51646, 50861, 51918, 51120, 52513, 50906, 51757, 50902, 51923, 51120, 59123, 50795, 55694, 55673, 52115, 51120, 51620, 50877, 54666, 51736, 51085, 51724, 50861, 56730, 51918, 51234, 51757, 50899, 56036, 51923, 51279, 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, 4688, 20425, 8, 15352, 30054, 5175, 45080, 2214, 19, 10, 980, 8, 11299, 16464, 6, 4246, 38668, 22052, 6, 21072, 6, 38668, 483, 6, 1076, 560, 31365, 25999, 6, 8, 38668, 20535, 4, 8504, 11, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 9680, 163, 5683, 4, 20, 33215, 16739, 9, 272, 119, 6, 274, 6, 8, 211, 119, 35315, 1328, 5, 1349, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 53028, 50818, 56622, 52231, 50417, 56622, 53379, 50420, 56622, 52231, 50423, 56622, 52611, 51544, 50841, 56622, 52611, 50429, 56622, 57617, 56816, 52431, 56622, 70709, 56622, 50908, 51570, 50841, 56622, 54704, 56622, 52878, 51652, 50823, 56622, 55888, 56622, 55254, 51721, 51052, 50841, 56622, 54085, 56622, 52193, 51643, 50802, 56622, 53736, 56622, 50817, 50799, 52233, 51696, 52606, 52017, 51678, 52017, 56622, 55265, 56622, 53213, 51643, 50802, 56622, 53578, 56622, 52630, 56622, 54396, 56622, 52265, 51643, 50802, 56622, 54496, 56622, 52676, 56622, 54129, 56622, 52267, 51633, 50802, 56622, 53851, 56622, 52568, 56622, 54085, 56622, 52193, 51643, 50976, 56622, 53736, 56622, 50817, 50799, 54064, 51307, 52016, 52017, 51821, 52017, 56622, 55265, 56622, 53213, 51721, 50802, 56622, 53578, 56622, 52630, 56622, 54396, 56622, 52265, 51721, 50802, 56622, 54496, 56622, 52676, 56622, 54129, 56622, 52267, 51831, 50802, 56622, 53851, 56622, 52568, 56622, 54085, 56622, 52193, 51652, 50802, 56622, 53736, 56622, 50817, 50799, 54064, 51036, 52016, 51036, 72890, 56622, 55265, 56622, 53213, 51652, 50976, 56622, 53578, 56622, 52630, 56622, 54396, 56622, 52265, 51652, 50802, 56622, 54496, 56622, 52676, 56622, 54129, 56622, 52267, 52200, 50860, 56622, 53851, 56622, 52568, 51633, 50821, 56622, 54085, 56622, 52193, 51633, 50993, 56622, 53736, 56622, 50817, 50799, 57380, 51036, 52233, 51353, 52606, 51264, 51678, 51696, 50420, 51643, 57310, 51652, 53798, 51721, 54178, 51643, 50802, 50799, 52233, 51696, 52606, 52017, 51678, 52017, 50420, 51643, 52030, 51643, 52313, 51633, 52325, 51643, 50976, 50799, 54064, 51307, 52016, 52017, 51821, 52017, 50420, 51721, 60648, 51721, 60815, 51831, 52325, 51652, 50976, 50799, 54064, 51036, 52016, 51036, 51678, 56100, 51652, 60648, 51652, 60815, 52200, 58317, 51633, 52884, 51633, 51072, 50799, 57380, 51036, 52233, 51353, 52606, 51264, 51678, 51696, 50420, 51643, 50993, 50437, 56816, 70268, 52200, 52116, 51993, 54712, 52372, 51552, 50799, 57054, 51036, 52233, 51036, 52606, 51696, 51678, 51696, 51716, 51696, 50791, 64550, 50813, 51402, 54658, 52647, 50823, 51771, 50823, 51959, 53547, 51903, 50894, 51510, 50883, 51544, 56561, 55863, 52647, 50823, 51771, 50823, 51959, 51805, 52975, 77545, 50894, 51556, 53294, 52647, 50823, 51771, 50823, 51959, 51805, 64550, 50813, 51572, 53675, 77545, 57152, 52647, 50823, 51771, 50823, 51959, 51805, 50880, 52320, 64550, 50813, 51647, 53563, 52647, 50823, 51771, 50823, 51959, 53547, 53291, 50894, 51621, 50880, 50799, 64724, 51036, 54064, 51036, 52016, 51696, 51821, 51696, 52072, 51696, 50791, 64550, 50813, 51402, 54658, 52003, 50823, 51890, 50823, 52158, 53547, 53291, 50894, 51510, 50880, 51544, 64550, 55863, 52003, 50823, 51890, 50823, 52158, 51805, 54053, 77545, 50894, 51556, 54459, 52003, 50823, 51890, 50823, 52158, 51805, 64550, 50813, 51572, 54989, 52200, 51858, 53291, 57152, 52003, 50823, 51890, 50823, 52158, 51805, 54411, 51993, 51052, 64550, 50813, 51647, 54647, 52003, 50823, 51890, 50823, 52158, 50823, 52372, 51388, 77545, 50894, 51621, 50880, 50799, 63995, 51036, 55464, 51036, 52016, 51696, 51678, 51696, 52072, 51696, 50791, 64550, 50813, 51402, 54658, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 50823, 51993, 52319, 53291, 50962, 51510, 50880, 51544, 64550, 55863, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 51805, 54053, 51993, 66587, 53291, 50962, 51556, 54459, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 51805, 64550, 50813, 51572, 54989, 52200, 66587, 53291, 65866, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 51805, 50880, 52320, 64550, 50813, 51647, 54647, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 50823, 51993, 52319, 53291, 50962, 51621, 50880, 50799, 74636, 51036, 57380, 51036, 52233, 51264, 52606, 51696, 52398, 51696, 50791, 64550, 50813, 51402, 54658, 52647, 50823, 52609, 50823, 51959, 50823, 51643, 56425, 53291, 50962, 51510, 50880, 51544, 64550, 55863, 52647, 50823, 52609, 50823, 51959, 51805, 54053, 51643, 53072, 53291, 50962, 51556, 54459, 52647, 50823, 52609, 50823, 51959, 51805, 64550, 50813, 51572, 54989, 52200, 51858, 53291, 65866, 52647, 50823, 52609, 50823, 51959, 51805, 53711, 51993, 51052, 64550, 50813, 51647, 54647, 52647, 50823, 52609, 50823, 51959, 50823, 52372, 66587, 53291, 50962, 51621, 50880, 68154, 50803, 57054, 51696, 52233, 51696, 52606, 51696, 51678, 51696, 51716, 51696, 50791, 64550, 53225, 50836, 51402, 51903, 55772, 52647, 50823, 51771, 50823, 51959, 50823, 51704, 54791, 53291, 50835, 51510, 53291, 53272, 51704, 51052, 64550, 53225, 59974, 52647, 50823, 51771, 50823, 51959, 51805, 53291, 53998, 51704, 54791, 53291, 50904, 51556, 53291, 53945, 52647, 50823, 51771, 50823, 51959, 50823, 51704, 51052, 64550, 53225, 50836, 51572, 53291, 55434, 51704, 54791, 53291, 57291, 52647, 50823, 51771, 50823, 51959, 51805, 53291, 53996, 51704, 51052, 64550, 53225, 50855, 51647, 53291, 55293, 52647, 50823, 51771, 50823, 51959, 50823, 51704, 54791, 53291, 50864, 51621, 53291, 50864, 64846, 50803, 54064, 51036, 52016, 51696, 51821, 51696, 52072, 51696, 50791, 64550, 53225, 50855, 56622, 52231, 51402, 51903, 50864, 56622, 53379, 50420, 52003, 50823, 51890, 50823, 52158, 50823, 52237, 54791, 53291, 50864, 56622, 52231, 51510, 53291, 50886, 56622, 52611, 50426, 52237, 51052, 64550, 53225, 50887, 56622, 52611, 50429, 52003, 50823, 51890, 50823, 52158, 51805, 53291, 50886, 56622, 57617, 52237, 54791, 53291, 50886, 56816, 52431, 56622, 51297, 51556, 53291, 50864, 56622, 52958, 52003, 50823, 51890, 50823, 52158, 50823, 52237, 51052, 64550, 53225, 50836, 56622, 67129, 53291, 50864, 56622, 52878, 52237, 50810, 52200, 51858, 53291, 50904, 56622, 55888, 52003, 50823, 51890, 50823, 52158, 51805, 53291, 50867, 56622, 55254, 52237, 50803, 51993, 51052, 64550, 53225, 50887, 56622, 50817, 51647, 53291, 50886, 56622, 52193, 52003, 50823, 51890, 50823, 52158, 50823, 52237, 50810, 52372, 56425, 53291, 50829, 56622, 65447, 53291, 50870, 56622, 50817, 50799, 53723, 50803, 55464, 51036, 52016, 51696, 51678, 51696, 52072, 51696, 52009, 51696, 50816, 74689, 64550, 53225, 50836, 56622, 55265, 50816, 54412, 53291, 50904, 56622, 53213, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 50823, 53723, 50810, 51993, 52677, 50365, 51225, 53291, 50835, 56622, 53578, 50816, 70196, 53291, 50864, 56622, 52630, 53723, 52409, 57284, 64550, 53225, 50887, 56622, 54396, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 54886, 61315, 53291, 50864, 56622, 52265, 53723, 50810, 51993, 55720, 71621, 53291, 50904, 56622, 54496, 50816, 59029, 53291, 50864, 56622, 52676, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 50823, 53723, 52409, 57162, 64550, 53225, 50836, 56622, 50817, 53525, 56423, 53291, 50941, 56622, 52267, 53723, 50810, 52200, 60664, 56669, 53291, 50904, 56622, 53851, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 54886, 54220, 53291, 50864, 56622, 52568, 53723, 52409, 54220, 64550, 53225, 50855, 56622, 54085, 50816, 55316, 53291, 50941, 56622, 52193, 51890, 50823, 51771, 50823, 52158, 50823, 52092, 50823, 53723, 50810, 51993, 52677, 56707, 53291, 50864, 56622, 50817, 53206, 53111, 53291, 50864, 56622, 50817, 50799, 53724, 50803, 57380, 51036, 52606, 51696, 52398, 51264, 51716 ]

[ 0, 250, 15352, 30054, 1619, 3495, 2214, 11, 230, 10431, 538, 6, 4246, 21979, 8669, 6, 13305, 6, 9590, 6, 5921, 3343, 1290, 642, 5255, 6, 8, 21072, 6, 278, 11, 10, 16634, 155, 73, 306, 86, 6543, 19, 10, 7212, 20889, 9, 8101, 13410, 228, 2289, 6, 7630, 14805, 6453, 9, 11098, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51034, 50625, 51018, 51034, 72476, 52028, 51551, 51317, 51400, 51078, 51112, 51064, 51400, 51705, 51941, 51825, 57519, 52109, 50849, 51544, 50820, 51317, 50836, 51078, 50818, 51064, 50813, 51414, 52605, 51825, 50873, 51570, 50839, 51317, 50809, 51078, 50890, 51064, 50840, 52109, 65562, 52028, 50865, 51414, 50849, 51034, 63338, 53805, 51977, 51311, 51112, 51136, 51112, 51169, 51112, 52318, 51977, 51980, 52864, 51672, 50901, 51544, 50820, 51311, 50836, 51136, 50818, 51169, 50895, 51651, 54777, 51980, 50901, 51570, 50820, 51311, 50890, 51136, 50961, 51169, 50890, 51672, 53969, 70291, 53805, 50873, 52318, 50948, 51651, 50805, 51034, 67475, 52028, 51591, 51317, 51221, 51078, 50991, 51064, 51363, 51705, 51941, 52109, 52864, 51414, 51111, 51544, 50839, 51317, 50890, 51078, 50818, 51064, 50887, 51719, 53308, 52109, 50901, 51570, 50820, 51317, 50809, 51078, 50895, 51064, 50887, 51414, 55322, 52028, 50849, 51719, 50805, 51034, 50856, 50835, 53805, 51941, 51317, 51255, 50970, 51203, 51169, 51221, 52318, 51941, 51672, 51111, 50420, 51651, 52483, 51471, 51317, 50809, 72427, 51169, 50890, 51303, 54259, 52102, 50873, 51570, 50835, 51317, 50890, 50970, 50890, 51169, 50890, 52571, 50805, 58301, 55489, 54872, 50805, 51034, 72476, 52028, 51191, 51317, 51377, 51078, 51112, 51064, 51162, 51705, 51977, 52102, 51101, 79916, 55777, 51719, 50901, 51544, 50820, 51317, 50818, 51078, 50818, 51064, 50840, 51414, 67772, 52109, 51111, 79916, 50844, 51570, 50839, 51317, 50809, 51078, 50890, 51064, 50840, 51414, 51101, 79916, 54465, 52028, 51121, 51705, 50940, 51719, 50873, 51034, 63338, 52562, 50983, 51136, 51221, 51078, 50991, 51064, 51124, 51560, 51977, 51687, 51100, 79916, 54031, 51719, 50901, 51544, 50820, 51136, 50836, 51078, 50895, 51064, 50887, 51414, 51060, 50660, 50348, 53230, 51980, 51194, 51570, 50820, 74976, 51078, 50811, 51064, 50880, 51414, 51101, 50660, 50350, 53885, 70291, 52562, 50795, 51560, 50940, 51719, 50873, 51034, 67475, 53271, 51761, 51317, 50967, 50970, 51238, 51064, 51238, 51261, 51661, 52102, 51134, 50660, 50353, 54892, 51303, 51100, 51544, 50839, 51317, 50836, 50970, 50846, 77671, 51414, 52605, 52109, 51111, 50660, 50350, 50846, 51570, 50820, 51317, 50811, 50970, 50811, 51064, 51010, 51140, 51235, 51414, 50915, 50660, 50348, 53806, 53271, 50805, 51303, 50873, 51034, 50856, 50835, 52562, 51356, 51136, 51203, 51078, 50991, 51064, 51203, 51560, 51977, 51687, 50915, 79916, 54031, 51719, 66010, 51471, 51136, 50818, 51078, 50895, 51064, 50887, 51414, 53387, 51980, 51194, 51570, 50835, 74976, 51078, 50811, 51064, 51010, 51414, 68247, 52562, 50917, 51705, 50858, 51719, 50901, 51034, 72476, 51846, 50918, 51311, 51124, 51136, 51235, 51169, 51235, 51522, 51977, 52571, 51003, 50660, 50353, 54892, 51687, 50805, 51544, 50820, 51311, 50809, 51136, 50895, 51169, 50895, 51651, 69879, 51672, 51100, 51570, 50839, 51311, 50890, 51136, 50961, 51169, 50895, 51651, 75115, 51846, 50901, 51522, 50940, 51687, 50873, 51034, 63338, 53805, 51551, 51317, 51255, 50970, 51238, 51169, 51124, 52318, 51977, 52102, 51295, 50660, 50350, 56051, 51303, 51111, 51544, 50820, 51317, 50809, 50970, 50884, 51169, 50841, 51651, 69400, 52109, 51121, 51570, 50820, 51317, 50890, 50970, 50880, 51169, 50890, 52102, 51043, 51672, 51111, 56752, 50891, 53805, 50897, 52318, 50940, 51651, 50849, 50660, 50348, 50840, 51034, 67475, 51246, 51162, 51317, 51112, 50970, 50980, 51169, 51500, 51705, 51977, 55349, 51452, 50660, 50350, 53829, 51303, 51204, 51544, 50839, 51246, 50828, 51317, 50895, 50970, 78551, 50895, 51414, 54259, 52109, 51111, 51570, 50820, 79764, 51317, 50809, 67947, 51169, 50809, 51414, 60510, 51705, 50858, 51303, 50873, 51034, 50856, 50835, 51246, 51159, 51317, 51112, 51136, 51159, 51078, 51227, 52318, 51661, 51687, 78264, 51414, 55035, 51471, 51246, 50840, 51317, 50890, 51136, 50809, 51078, 50890, 52109, 66312, 51414, 50943, 51570, 50835, 51246, 50887, 51317, 50895, 51136, 50809, 51078, 50930, 52318, 51235, 51687, 50901, 58301, 54586, 52102, 50805, 51034, 72476, 52028, 51191, 51317, 51377, 51078, 51112, 51064, 51162, 51705, 51977, 52102, 50901, 79916, 55777, 51719, 50873, 51544, 50820, 51317, 50818, 51078, 50818, 51064, 50840, 51414, 65135, 52109, 51101, 79916, 50904, 51570, 50839, 51317, 50809, 51078, 50890, 51064, 50840, 51414, 51111, 79916, 54465, 52028, 51121, 51705, 50940, 51719, 50805, 51034, 63338, 52562, 50983, 51136, 51221, 51078, 50991, 51064, 51124, 51560, 51977, 51687, 51060, 79916, 54031, 51719, 63867, 50660, 50348, 50840, 51544, 50820, 51136, 50836, 51078, 50895, 51064, 50887, 51414, 62118, 51980, 51043, 51570, 50820, 74976, 51078, 50811, 51064, 50880, 51414, 51100, 50660, 50350, 54815, 70291, 52562, 50795, 51719, 50849, 51034, 67475, 53271, 51761, 51317, 50967, 50970, 51238, 51064, 51238, 51261, 51356, 52102, 51134, 50660, 50353, 54658, 51303, 51101, 51544, 50839, 51317, 50836, 50970, 50846, 77671, 51414, 54259, 52109, 51121, 50660, 50350, 50836, 51570, 50820, 50960, 50811, 50970, 50811, 51076, 51010, 51273, 51235, 51651, 50849, 50660, 50348, 52510, 53271, 50805, 51303, 50805, 51034, 50856, 50835, 52562, 51356, 51136, 51203, 51078, 50991, 51064, 51203, 51560, 51977, 51687, 50943, 79916, 55180, 51719, 70006, 51471, 51136, 50818, 51078, 50895, 51064, 50887, 51414, 53387, 51980, 51110, 51570, 50835, 74976, 51078, 50811, 51064, 51010, 51414, 65562, 52562, 50917, 51705, 50858, 51719, 50873, 51034, 72476, 52562, 51029, 51317, 51290, 51078, 51290, 51560, 51977, 51719, 50849, 50660, 50348, 53336, 51414, 51121, 51544, 50820, 51317, 50809, 51078, 50818, 51980, 60307, 51414, 51111, 51570, 50839, 51317, 50882, 51078, 50811, 51719, 71492, 52562, 50873, 51560, 50940, 51414, 50901, 51034, 63338, 51846, 51551, 50986, 51116, 51078, 51427, 51522, 51977, 51719, 51413, 50660, 50348, 54031, 51651, 51060, 51544, 50820, 50986, 50808, 51078, 50817, 51980, 73576, 51651, 50805, 51570, 50820, 50986, 64621, 50930, 51719, 50967, 56752, 50891, 51651, 51111, 50660, 50348, 50857, 51034, 67475, 53805, 52266, 51317, 51159, 50970, 50980, 51169, 51112, 52318, 51227, 51303, 51562, 67440, 55777, 51651, 51111, 51544, 50839, 51317, 50833, 50970, 50880, 51169, 50836, 51261, 51227, 52109, 69879, 51672, 51159, 51570, 50820, 51317, 50810, 61398, 51169, 50867, 51522, 51235, 51651, 71492, 51303, 50805, 51034, 50856, 50835, 53805, 51977, 51317, 51221, 50970, 51215, 51169, 51221, 51140, 51227, 52102, 57437, 52571, 55035, 51471, 51317, 50813, 50970, 50839, 51169, 50867, 51560, 51227, 54872, 54259, 52571, 50845, 51570, 50835, 51317, 50809, 50970, 50887, 51169, 50836, 52318, 50893, 52102, 50805, 58301, 54400, 51461, 50948, 52571, 50805, 58301, 50855, 51034, 72476, 53092, 51551, 51311, 51162, 51136, 51048, 51078, 51048, 52659, 51941, 51687, 51790, 62636, 54507, 51719, 51189, 51544, 50820, 51311, 50862, 51136, 50855, 51078, 50855, 51672, 52605, 51980, 51141, 62636, 50867, 51570, 50839, 51311, 50855, 51136, 50828, 51078, 50836, 51672, 51109, 62636, 54465, 51719, 50849, 51034, 63338, 53805, 52282, 51311, 51203, 51136, 50991, 51169, 51221, 52318, 51977, 51303, 51623, 50660, 50351, 54507, 51651, 51189, 51544, 50820, 51311, 50836, 51136, 50809, 51169, 50809, 51672, 50849, 50660, 50350, 53810, 52109, 51204, 51570, 50820 ]

[ 0, 250, 19448, 5175, 25771, 2214, 14, 7630, 6568, 10, 5679, 26709, 8, 3722, 5466, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 38668, 11212, 6, 8, 30062, 620, 7085, 12280, 642, 4, 20, 2125, 16, 278, 11, 5, 762, 9, 230, 10431, 538, 19, 10, 2635, 226, 22740, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 21437, 10, 33215, 16739, 9, 274, 10431, 401, 6, 163, 6, 2060, 73, 347, 6, 230, 10431, 6, 8, 230, 10431, 119, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 61791, 53038, 50838, 51494, 51283, 51777, 51477, 52070, 79311, 53483, 55191, 51706, 57648, 51777, 50972, 52070, 50972, 52929, 53913, 52649, 50892, 51777, 50972, 51639, 50972, 52070, 50972, 52929, 55945, 53483, 50972, 51429, 51079, 51639, 50838, 52070, 50972, 52461, 55125, 52040, 50995, 51494, 51852, 51429, 51852, 51639, 51645, 52070, 51534, 50459, 51494, 50851, 51429, 50851, 51639, 50851, 78323, 51314, 51847, 51490, 51494, 51447, 51308, 51314, 51777, 65680, 53646, 51313, 52040, 51074, 51561, 51074, 51512, 57997, 52040, 51108, 51561, 51108, 51512, 63190, 52040, 51074, 51561, 51079, 51512, 51079, 68819, 51074, 51144, 50974, 51308, 54177, 51144, 51079, 51308, 50972, 51777, 52688, 51847, 51079, 51144, 50972, 51308, 55378, 52040, 50972, 51561, 50838, 51512, 54938, 56686, 50972, 51706, 51447, 51847, 51314, 51512, 56391, 53646, 50838, 51494, 54323, 53483, 51097, 51512, 51534, 50459, 51308, 50851, 50799, 56686, 50892, 51494, 51148, 51308, 54177, 53646, 50838, 51847, 56307, 53483, 57648, 51308, 52718, 56686, 50974, 51706, 51314, 51847, 51080, 51512, 55103, 53646, 51079, 51494, 52985, 53483, 50981, 51512, 56711, 51308, 50905, 50799, 56686, 50972, 51494, 51314, 51308, 51314, 51777, 60726, 53646, 55191, 53483, 57547, 51639, 54137, 56686, 50838, 51847, 50932, 51144, 51108, 51308, 56350, 53646, 56697, 53483, 50995, 51847, 50981, 51777, 56936, 51429, 70395, 51308, 50851, 50799, 56686, 50892, 52040, 51244, 51561, 51244, 51777, 58879, 52649, 50845, 51512, 58187, 53483, 57648, 51308, 54137, 58001, 50974, 51232, 51314, 51512, 51148, 51429, 51363, 50444, 52649, 61554, 51777, 53140, 52533, 51097, 51429, 54771, 51308, 50974, 62871, 51148, 51777, 55126, 51847, 50972, 51512, 58187, 51777, 55378, 51512, 52718, 56686, 50838, 51706, 51314, 51847, 51244, 51512, 56391, 53646, 51079, 51494, 56697, 53483, 51108, 51512, 51412, 50459, 51308, 50827, 50799, 56686, 50972, 51494, 51244, 51308, 59288, 53646, 50972, 51847, 52688, 53483, 64809, 51308, 54938, 56686, 50838, 51706, 51314, 51847, 51080, 51512, 56391, 53646, 50972, 51494, 56697, 53483, 50932, 51512, 54771, 51308, 50905, 50799, 56686, 50838, 51494, 51314, 51308, 51314, 51777, 60115, 53646, 55191, 53483, 64809, 51639, 54137, 56686, 50838, 51847, 51108, 51144, 51108, 51308, 59242, 53646, 55437, 53483, 51108, 51144, 50932, 51777, 59835, 51429, 60864, 51308, 50827, 50799, 56686, 50972, 52040, 51080, 51561, 51148, 51777, 55126, 52649, 50972, 51512, 58187, 53483, 64809, 51308, 52718, 58001, 50838, 51232, 51314, 51512, 51080, 51429, 56391, 53646, 50838, 51777, 54323, 52533, 51097, 51429, 51534, 50459, 51308, 50874, 62871, 51244, 51777, 55126, 51847, 50972, 51144, 50972, 51512, 58187, 51561, 50974, 51494, 53052, 51144, 50972, 51512, 52718, 56686, 50838, 51308, 51330, 51777, 51108, 52381, 51108, 73405, 50838, 51863, 51330, 52414, 51108, 53188, 63236, 53646, 50972, 60515, 55437, 53483, 51097, 51308, 51108, 51777, 51108, 52381, 51108, 57633, 51097, 51863, 51108, 52414, 51108, 53188, 51108, 79921, 51047, 51308, 51108, 51639, 50932, 52381, 50905, 57166, 51047, 51863, 51108, 52340, 50932, 53188, 55126, 51494, 50905, 52332, 54335, 51308, 50892, 51863, 54100, 51777, 50892, 52414, 53913, 54733, 51145, 51512, 51108, 51429, 51108, 51639, 50932, 66264, 51145, 52255, 51108, 52187, 51108, 52340, 54980, 51494, 51108, 51429, 51097, 51639, 51108, 52332, 51108, 52187, 51097, 52340, 51108, 78323, 50981, 51561, 50972, 51512, 50995, 51429, 50995, 51639, 50838, 60515, 50981, 52402, 50972, 52255, 50995, 52187, 50995, 52340, 54177, 51144, 51477, 51743, 51477, 50426, 51847, 50905, 51308, 50905, 53100, 50905, 51863, 54342, 52040, 50845, 51512, 50901, 53541, 50845, 52255, 55306, 51706, 51148, 51777, 50892, 52070, 51310, 53181, 51148, 52414, 50892, 53129, 51310, 50444, 51494, 50905, 52332, 54323, 51308, 50892, 51863, 54771, 51777, 50974, 51435, 50974, 52414, 50974, 52036, 50974, 79921, 51145, 51494, 51097, 51308, 51477, 51639, 50905, 57166, 51145, 52332, 51097, 51863, 51477, 52340, 55126, 51777, 50892, 52414, 53770, 51494, 50892, 52332, 54100, 51308, 50892, 51863, 53913, 54733, 51148, 51561, 51318, 51494, 51318, 51777, 50844, 66264, 51148, 52402, 51318, 52332, 51318, 52414, 58709, 77595, 51863, 52711, 51777, 51310, 52414, 51310, 50456, 51847, 50892, 53100, 50892, 78323, 51080, 52040, 50974, 51561, 50974, 60515, 51080, 53541, 50974, 52402, 58879, 51494, 50838, 51308, 50972, 52332, 50838, 51863, 55191, 51561, 50905, 51494, 50905, 52402, 50905, 52332, 54342, 51144, 50838, 51512, 50905, 51743, 50838, 52255, 54137, 56686, 50838, 51308, 50932, 51777, 50995, 52381, 50932, 73405, 50838, 51863, 50932, 52414, 50995, 53188, 56350, 53646, 50972, 60515, 55437, 53483, 50995, 51308, 50932, 51777, 50995, 52381, 51097, 57633, 50995, 51863, 50932, 52414, 50995, 53188, 51097, 79921, 51145, 51308, 51108, 51639, 50995, 52381, 50905, 57166, 51145, 51863, 51108, 52340, 50995, 53188, 55126, 51494, 50974, 52332, 56307, 51308, 50974, 51863, 55544, 51777, 50892, 52414, 53913, 54733, 51145, 51429, 50905, 51639, 50995, 66264, 51145, 52187, 50905, 52340, 59791, 51308, 50905, 51863, 54323, 51512, 50892, 51639, 50981, 52255, 50892, 52340, 58667, 51494, 50892, 52332, 50892, 78323, 50915, 51561, 50892, 51512, 50981, 51429, 50981, 51639, 50905, 60515, 50915, 52402, 50892, 52255, 50981, 52187, 50981, 52340, 55126, 51144, 50905, 51743, 54335, 51847, 51003, 51308, 50892, 53100, 51003, 51863, 54100, 51512, 50905, 52255, 54137, 51706, 50981, 51494, 51148, 51308, 50844, 53181, 50981, 52332, 51148, 51863, 58709, 51429, 50844, 52187, 53783, 51777, 50915, 52414, 55247, 53038, 50981, 58366, 58667, 51777, 50892, 52414, 50892, 50799, 52649, 51183, 51561, 50995, 51494, 50932, 51777, 50892, 62146, 51183, 52402, 50995, 52332, 50932, 52414, 55041, 51429, 50892, 52187, 53770, 51561, 50905, 51494, 50974, 52402, 50905, 52332, 55544, 52040, 50974, 51561, 50838, 53541, 50974, 52402, 52718, 52477, 50838, 51706, 51080, 51847, 51145, 55148, 50838, 53181, 51080, 53100, 70190, 53483, 50892, 57633, 54058, 50621, 53646, 50892, 60515, 54771, 53038, 50905, 58366, 50905, 51034, 53646, 51677, 60515, 51677, 50420, 52040, 50838, 51561, 50838, 51512, 50972, 53541, 50838, 52402, 50838, 52255, 55191, 51847, 50972, 51144, 50972, 75434, 53100, 50972, 51743, 50972, 51863, 53052, 51144, 50972, 51308, 50972, 51777, 50838, 51743, 50972, 51863, 50972, 52414, 52718, 51847, 50972, 51144, 50838, 51308, 50974, 53100, 50972, 51743, 50838, 51863, 56391, 52040, 50972, 51561, 50974, 51512, 50972, 53541, 50972, 52402, 50974, 52255, 50972, 61791, 56686, 50838, 51706, 51314, 51847, 51244, 51494, 50905, 51512, 50838, 52332, 50995, 50739, 50286, 50838, 65725, 51314, 61155, 51244, 57041, 50905, 55521, 54177, 53646, 50972, 51494, 50974, 50739, 50293, 50972, 57041, 56307, 53483, 51108, 51512, 51534, 50739, 50298, 51108, 55521, 51534, 50435, 51308, 50874, 54142, 54123, 56686, 50838, 51494, 51080, 51308, 50974, 50739, 50286, 50838, 57041, 51080, 54142, 56391, 53646, 50972, 51847, 51318, 50739, 50293, 50972, 61155, 72269, 53483, 51108, 50739, 50298, 51108, 50799, 56686, 50838, 51706, 51314, 51847, 51080, 51512, 50838, 50739, 50286, 50838, 65725, 51314, 61155, 51080, 55521, 54177, 53646, 50972, 51494, 50838, 50739, 50293, 50972, 57041, 52688 ]

[ 0, 250, 15855, 2125, 19, 5175, 4785, 6, 42, 2214, 1575, 10, 32909, 6, 17465, 102, 6, 8, 17691, 28430, 6, 2351, 10, 15352, 30054, 8, 19448, 5466, 10686, 13, 822, 4, 23973, 11, 163, 3694, 8, 278, 7, 10, 132, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 6, 19, 10, 33215, 16739, 9, 83, 6, 272, 6, 274, 10431, 6, 381, 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 ]

[ 66702, 52211, 50866, 53942, 50866, 55145, 54278, 52211, 50866, 53942, 50866, 55145, 50866, 51057, 52211, 50866, 53942, 50866, 55145, 54278, 52211, 50810, 53942, 50810, 55145, 58779, 53437, 50810, 53942, 50810, 55145, 57181, 52211, 50810, 53942, 50810, 55145, 50810, 51057, 51898, 50866, 56542, 50866, 57538, 54278, 51898, 50866, 56542, 50866, 57538, 50866, 51057, 51898, 50866, 56542, 50866, 57538, 54278, 51898, 50810, 56542, 50810, 57538, 58779, 51898, 50810, 56542, 50810, 57538, 57181, 51898, 50810, 56542, 50810, 57538, 50810, 51057, 52211, 50866, 53942, 50866, 55145, 54278, 52211, 50866, 51431, 50866, 53942, 50866, 55145, 50866, 51057, 52211, 50866, 51431, 50866, 53942, 50866, 55145, 54278, 52211, 79828, 50810, 53942, 50810, 55145, 58779, 52211, 79828, 50810, 53942, 50810, 55145, 57181, 52211, 79828, 50810, 53942, 50810, 55145, 50810, 51057, 51898, 50866, 52061, 50866, 56542, 50866, 57538, 54278, 51898, 50866, 52061, 50866, 55679, 51025, 51057, 51898, 50866, 52061, 50866, 58502, 58193, 51898, 50810, 52061, 50810, 55145, 51025, 50430, 51898, 50810, 52061, 57181, 51898, 50810, 52061, 50810, 51057, 52211, 50866, 51431, 50866, 56787, 51025, 55145, 51025, 56380, 58193, 56787, 50866, 56380, 50866, 51057, 56787, 50866, 56380, 54278, 56380, 51101, 50435, 56380, 50813, 51057, 51784, 51025, 55145, 51025, 56380, 58193, 51784, 51101, 55145, 51025, 56380, 51025, 50435, 51784, 50813, 51057, 51784, 51025, 55145, 51025, 56380, 58193, 51431, 50810, 55145, 51025, 56380, 51025, 50430, 51723, 57181, 51431, 50810, 51057, 52061, 51101, 57538, 51025, 55679, 51025, 50423, 51898, 52524, 51898, 51452, 57538, 51025, 55679, 51025, 51057, 57538, 51025, 55679, 58193, 57538, 51025, 55679, 51025, 51057, 52211, 50866, 55145, 51025, 56380, 58193, 52211, 51101, 55145, 51025, 56380, 51025, 50430, 52926, 57181, 52926, 54112, 52211, 50813, 51057, 52926, 51025, 52039, 51025, 56787, 51025, 54552, 58193, 52039, 51101, 54885, 51025, 61438, 51025, 50435, 52039, 50813, 51057, 53709, 50866, 53942, 51025, 55184, 64965, 54595, 54278, 55216, 51101, 50435, 55216, 50866, 51057, 53942, 51025, 51057, 51784, 51025, 55145, 51025, 56380, 58193, 51784, 51101, 55145, 51025, 56380, 51025, 50435, 51784, 50813, 51057, 51784, 51025, 55145, 51025, 56380, 58193, 51431, 50810, 55145, 51025, 56380, 51025, 50430, 51723, 57181, 51431, 50810, 51057, 52061, 51101, 57538, 51025, 55679, 51025, 50423, 51898, 52524, 51898, 51452, 57538, 51025, 55679, 51025, 51057, 57538, 51025, 55679, 58193, 57538, 51025, 55679, 51025, 51057, 52211, 50866, 55145, 51025, 56380, 58193, 52211, 51101, 55145, 51025, 56380, 51025, 50430, 52926, 57181, 52926, 54112, 52211, 50813, 51057, 52926, 51025, 52039, 51025, 56787, 51025, 54552, 58193, 52039, 51101, 54885, 51025, 61438, 51025, 50435, 52039, 50813, 51057, 53709, 50866, 51431, 50866, 53942, 51025, 55184, 64965, 54595, 54278, 54552, 51101, 50435, 54552, 50813, 51034, 55184, 58193, 50629, 50432, 52278, 50866, 61438, 54014, 50631, 52278, 51101, 61438, 51101, 50447, 52278, 50813, 61438, 50813, 51034, 50634, 52285, 51134, 61438, 58193, 57216, 59102, 51900, 54014, 51784, 50866, 55938, 60182, 52824, 50866, 51034, 51784, 51134, 62383, 58193, 55448, 59102, 52355, 54014, 52824, 50866, 54552, 60182, 51784, 50866, 51034, 51900, 51134, 58502, 58193, 55679, 59102, 51784, 54014, 52824, 50866, 55448, 60182, 52355, 50866, 51034, 52278, 51115, 61438, 58193, 54552, 59290, 52039, 51025, 57538, 51025, 51034, 51431, 51025, 53942, 58193, 51898, 51025, 57538, 59290, 53437, 51025, 55679, 51025, 51034, 52298, 51115, 58524, 58193, 57538, 59290, 53808, 51025, 54552, 51025, 51034, 51898, 51134, 58524, 58193, 55145, 59102, 51898, 54014, 52039, 50866, 54552, 60182, 53437, 50866, 51034, 53808, 51134, 58524, 58193, 54552, 59102, 52298, 54014, 52298, 51101, 50447, 52298, 50813, 51034, 51744, 51134, 61438, 58193, 57216, 59102, 51485, 54014, 51431, 50866, 55938, 60182, 52298, 50866, 51034, 51431, 51134, 62383, 58193, 55448, 59102, 51898, 54014, 52298, 50866, 54552, 60182, 51431, 50866, 51034, 51485, 50866, 58502, 64965, 51744, 54278, 51485, 50866, 55679, 59102, 51431, 54014, 52298, 50866, 55448, 60182, 51898, 50866, 51034, 52298, 51134, 61438, 58193, 54552, 59102, 52039, 54014, 51898, 50866, 57538, 60182, 52298, 50866, 51034, 51431, 51025, 53942, 58193, 51898, 51025, 57538, 59290, 53437, 51025, 55679, 51025, 51034, 52298, 51115, 58524, 58193, 57538, 59290, 53808, 51101, 54552, 51025, 50447, 53808, 50813, 51034, 51898, 51134, 58524, 58193, 55145, 59102, 51898, 54014, 52039, 50866, 54552, 60182, 53437, 50866, 51034, 53808, 51025, 58524, 58193, 50630, 51744, 51025, 54552, 59290, 50626, 57211, 50420, 52824, 59102, 52824, 54014, 52824, 57554, 52824, 51025, 50799, 52285, 51714, 57528, 58524, 51452, 57538, 72270, 50624, 50438, 50625, 53808, 50845, 52211, 50845, 52298, 53562, 50626, 52824, 51025, 57528, 51784, 51134, 57538, 66312, 51784, 54014, 51900, 51025, 57538, 70703, 51784, 54752, 52355, 50866, 67628, 50866, 57538, 71215, 52824, 54278, 52824, 51452, 50438, 58524, 51115, 50799, 53942, 66527, 52355, 59290, 52355, 51025, 54885, 70703, 52278, 51025, 50799, 54219, 51025, 58524, 66527, 52824, 57554, 52298, 51025, 50799, 51898, 51115, 51431, 66744, 53437, 51025, 51898, 51025, 57538, 57554, 53808, 51025, 52039, 51025, 57538, 51025, 50799, 53709, 51025, 53437, 51025, 58524, 57554, 57538, 51101, 50459, 57538, 50813, 50799, 56435, 51115, 55679, 66744, 52298, 51025, 55216, 51025, 54552, 57554, 52298, 51025, 67259, 51025, 58502, 51025, 50799, 52298, 51025, 63513, 51025, 57538, 59290, 52298, 51025, 63513, 51025, 57538, 51025, 50799, 53808, 51714, 52039, 51714, 52298, 51714, 63513, 51714, 57538, 51714, 50799, 57538, 51151, 50426, 52824, 51025, 57929, 59290, 52824, 51025, 57929, 57554, 52824, 51025, 57929, 51025, 73410, 51134, 53689, 51134, 50432, 51784, 50866, 54595, 54014, 51784, 51115, 54595, 51115, 55746, 51784, 51025, 54595, 59290, 52285, 51025, 53808, 57554, 51784, 51025, 54595, 51025, 50799, 52824, 51134, 57929, 51134, 50432, 51784, 50866, 54595, 54014, 52824, 51115, 57929, 51115, 55746, 52824, 51025, 57929, 59290, 52355, 51025, 57350, 57554, 52278, 51025, 60671, 51025, 50799, 52278, 51134, 60671, 51134, 50432, 54219, 50866, 79812, 54014, 54219, 51115, 79812, 51115, 55746, 52355, 51025, 57350, 59290, 52278, 51025, 60671, 57554, 54219, 51025, 79812, 51025, 50799, 54219, 51134, 79812, 51134, 50432, 54246, 50866, 79811, 54014, 54246, 51115, 79811, 51115, 55746, 52824, 51025, 57929, 59290, 52824, 51025, 57929, 57554, 52824, 51025, 57929, 51025, 73410, 51134, 53689, 51134, 50432, 51784, 50866, 54595, 54014, 51784, 51115, 54595, 51115, 55746, 51784, 51025, 54595, 59290, 52285, 51025, 53808, 57554, 51784, 51025, 54595, 51025, 50799, 52824, 51134, 57929, 51134, 50432, 51784, 50866, 54595, 54014, 52824, 51115, 57929, 51115, 55746, 52824, 51025, 57929, 59290, 52355, 51025, 57350, 57554, 52278, 51025, 60671, 51025, 50799, 52278, 51134, 60671, 51134, 50432, 54219, 50866, 79812, 54014, 54219, 51115, 79812, 51115, 55746, 52355, 51025, 57350, 59290, 52278, 51025, 60671, 51025, 57929, 57554, 54219, 51025, 79812, 51025, 57929, 51025, 50799, 54246, 51025, 79811, 51025, 60671, 59290, 54246, 51025, 79811, 51025, 60671, 51025, 58106, 61331 ]

[ 0, 250, 15352, 30054, 3495, 1619, 2214, 4246, 13305, 6, 21979, 9590, 6, 17465, 102, 6, 21979, 8669, 6, 8, 23338, 33518, 1264, 6, 278, 11, 5, 762, 9, 2060, 538, 19, 10, 2635, 6, 19448, 1614, 1073, 1020, 20889, 8, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 33215, 13931, 9, 12608, 6, 163, 43531, 406, 6, 12608, 406, 6, 8, 274, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57528, 50796, 50796, 50454, 51964, 51194, 51869, 51043, 51280, 51043, 51232, 51194, 51099, 51178, 51461, 51412, 54552, 51043, 53085, 51051, 58605, 51051, 78323, 51353, 52477, 51151, 51144, 51359, 51512, 51151, 52318, 51148, 51032, 54088, 55936, 51894, 55287, 52136, 62637, 52519, 50856, 55376, 50970, 54088, 50426, 51317, 52212, 50970, 52011, 51169, 56869, 50804, 57737, 56720, 51246, 51447, 50438, 52318, 51148, 71932, 51169, 51333, 50856, 53035, 51317, 51108, 50970, 51148, 51169, 51333, 66928, 53161, 50804, 51663, 58323, 51246, 51051, 55936, 50917, 56176, 51470, 69773, 78323, 51151, 52477, 51293, 51847, 51313, 51144, 51151, 51308, 51151, 52318, 51535, 51246, 51333, 51317, 51108, 51169, 51738, 62637, 50984, 66928, 51297, 50662, 50343, 50361, 51259, 55614, 57294, 51591, 50418, 51512, 54171, 50426, 50970, 51939, 51169, 51108, 51246, 52059, 51317, 51330, 50804, 51663, 58608, 51246, 52980, 50438, 52318, 51535, 51317, 51097, 51169, 51108, 50856, 59117, 66928, 73265, 51169, 51380, 51317, 51380, 56176, 52212, 50804, 51663, 59169, 60177, 67164, 51461, 63781, 50846, 78323, 51103, 52477, 51127, 51847, 51047, 51144, 51127, 51512, 51103, 51308, 51183, 52318, 51148, 51317, 50932, 51169, 50932, 55936, 50967, 66928, 51466, 55287, 53096, 50856, 60480, 62383, 51362, 50426, 51317, 51097, 51169, 58799, 51663, 59971, 66928, 51337, 54127, 52565, 51512, 51127, 52176, 51103, 51198, 51127, 51144, 51103, 51273, 51047, 50960, 51080, 78349, 51169, 50995, 62383, 51158, 53727, 50933, 62637, 51254, 50856, 63228, 62383, 64949, 50970, 51380, 51169, 51380, 50804, 51663, 60053, 55936, 50967, 54820, 50884, 79921, 51419, 51847, 51244, 51308, 51003, 51494, 51703, 51561, 51703, 51560, 51244, 51136, 50932, 51064, 50995, 58002, 51095, 55287, 51166, 66928, 51697, 50856, 60480, 57294, 51204, 66928, 53220, 51308, 51356, 51136, 50995, 51064, 58799, 51663, 63248, 52746, 51110, 53016, 61782, 53399, 67912, 52565, 54733, 50914, 51847, 51003, 51561, 50915, 51494, 50943, 55366, 51749, 51136, 50995, 51064, 52056, 53085, 51679, 50856, 63281, 51317, 55514, 54733, 50943, 51280, 50915, 51494, 51003, 51512, 51003, 52477, 50981, 51561, 51003, 51136, 51097, 51169, 59975, 51663, 50884, 55350, 57461, 51261, 51058, 55936, 57700, 50883, 79921, 51047, 51847, 51047, 51561, 51183, 51494, 51127, 51308, 51127, 51560, 51244, 51064, 50932, 51317, 50984, 62383, 51486, 55287, 52011, 59916, 52136, 50856, 55800, 51136, 50995, 51064, 56858, 52893, 61426, 55287, 64248, 66928, 58346, 54733, 51183, 51280, 51183, 51561, 51127, 51512, 51183, 52477, 51148, 51494, 51047, 55366, 51244, 51136, 51080, 51169, 51080, 62637, 65024, 59954, 56447, 58271, 51078, 58799, 51663, 60305, 62383, 51100, 54820, 56904, 55936, 51358, 79921, 51145, 51847, 51047, 51561, 51047, 51308, 51047, 51494, 51183, 51560, 51244, 51136, 51108, 51064, 53838, 55287, 52482, 66928, 51642, 50856, 60480, 59916, 52641, 51317, 51380, 51136, 51380, 51064, 77867, 51663, 59971, 53016, 66855, 53399, 56180, 54733, 51148, 52477, 51047, 51280, 51145, 51561, 51047, 51494, 51047, 51512, 51145, 55366, 51477, 51136, 51108, 51169, 51080, 53085, 51852, 50856, 61312, 59916, 52056, 50450, 51136, 51097, 51078, 56858, 51663, 56637, 51261, 51058, 57294, 68067, 50884, 79921, 51003, 51308, 51183, 51847, 51145, 51561, 51183, 51494, 51183, 51560, 51148, 51317, 50995, 51078, 50995, 55287, 53280, 66928, 52136, 50856, 57829, 62383, 51060, 50422, 58002, 70266, 51317, 50995, 51078, 57604, 52893, 63248, 57778, 51158, 50434, 66928, 52691, 51280, 51183, 51561, 51183, 51494, 51127, 51512, 51127, 54733, 51466, 55366, 51749, 51136, 51097, 51169, 51097, 57778, 51100, 62637, 51481, 50856, 65809, 53085, 52256, 50446, 57778, 51173, 59916, 52188, 50450, 51169, 50932, 51136, 51330, 50986, 51330, 50804, 51663, 59096, 57778, 51286, 50458, 51150, 67912, 50846, 78323, 51127, 52477, 51047, 51847, 51047, 51144, 51103, 51512, 51127, 51153, 51047, 51868, 51148, 50986, 51080, 51317, 50995, 51169, 50995, 57778, 51095, 52943, 52059, 56176, 51797, 50816, 55942, 58235, 55936, 51894, 53085, 57104, 51317, 50995, 51169, 59975, 51663, 50828, 54127, 52766, 53646, 51116, 51847, 51194, 51144, 51178, 51512, 51124, 52318, 51337, 51317, 50995, 51169, 50995, 51850, 51174, 52943, 58253, 53683, 59265, 52176, 50910, 51198, 50897, 51144, 50841, 51119, 50800, 51273, 50942, 50960, 50959, 50970, 51008, 51850, 51051, 52235, 67912, 53595, 52746, 50812, 51494, 50833, 51308, 50840, 51561, 50813, 51560, 50822, 51136, 50874, 64323, 52678, 50904, 53016, 56850, 54839, 57916, 52533, 51095, 52040, 50849, 51232, 50849, 74383, 51493, 51212, 50929, 51242, 74963, 51971, 51645, 51992, 51172, 54820, 50884, 59649, 51894, 51280, 51591, 51144, 51307, 51512, 51307, 51140, 51749, 78349, 51169, 51148, 51850, 51637, 50856, 61460, 53871, 53404, 52670, 50970, 51080, 51032, 51314, 50816, 55018, 57737, 57982, 55520, 51157, 54127, 52600, 51153, 51291, 51140, 51477, 51169, 50995, 55520, 66404, 53612, 57854, 51280, 51419, 53085, 79771, 51169, 51253, 55520, 58668, 52050, 54493, 57109, 51876, 63324, 58323, 51153, 51014, 51140, 63781, 54499, 60634, 51317, 51108, 69935, 51486, 51847, 51103, 51308, 51605, 51493, 51535, 50998, 50932, 67806, 55520, 51286, 53016, 51477, 73032, 53612, 58158, 63330, 68907, 51317, 52431, 50929, 51148, 50816, 53802, 51663, 56171, 57778, 51538, 50438, 51847, 51391, 51493, 51535, 50816, 54493, 66331, 53016, 50844, 51992, 51199, 50446, 52840, 51642, 50450, 52533, 50914, 50998, 52056, 50929, 77867, 51663, 53404, 57098, 51847, 64603, 79091, 51308, 51623, 51493, 78973, 50828, 79921, 51127, 51847, 51103, 51494, 51077, 51560, 51148, 51078, 50932, 51317, 51330, 57778, 51110, 52678, 51637, 50816, 55136, 53237, 60683, 56979, 53466, 51078, 51097, 51317, 66772, 55018, 51663, 59485, 58002, 51591, 50430, 52527, 63221, 52943, 51141, 50856, 53219, 51280, 51047, 51561, 51047, 51494, 51183, 51512, 51397, 54733, 51145, 52477, 51391, 55366, 51244, 51169, 51108, 51136, 51330, 50816, 54493, 59117, 52678, 51806, 50446, 52527, 51884, 50450, 51136, 50995, 51169, 56858, 52050, 53665, 61807, 52477, 61738, 60427, 51512, 51014, 50986, 59743, 51663, 50846, 50799, 51512, 51538, 52649, 51103, 51561, 50918, 52659, 51244, 51311, 50933, 51136, 50932, 51169, 51108, 58002, 52221, 53500, 53665, 59720, 52527, 51961, 52235, 51961, 50422, 52721, 51852, 50426, 52477, 50807, 52040, 50914, 51136, 50995, 51169, 50995, 51311, 51108, 57778, 51175, 50816, 54518, 51663, 60063, 55936, 51896, 50856, 53219, 53038, 51003, 52477, 50943, 51706, 50914, 51198, 50889, 75118, 52157, 50981, 70642, 51169, 51097, 52943, 66772, 53612, 60547, 51850, 51679, 50804, 50817, 56576, 53035, 52176, 72687, 50889, 75118, 51706, 50889, 51273, 51480, 50960, 51097, 78349, 51760, 51242, 50816, 54528, 51663, 50895, 54124, 52220, 53584, 50839, 68819, 51307, 51144, 51307, 51308, 51894, 52746, 51313, 51560, 51749, 51317, 51466, 64387, 50816, 53612, 72059, 53852, 59740, 51992, 51542, 52840, 52256, 50425, 55936, 64131, 51317, 51108, 64387, 50856, 53338, 53412, 56446, 55936, 80066, 53219, 51560, 51749, 51317, 51333, 50929, 62877, 53864, 59117, 51064, 74553, 56447, 56453, 58605, 50837, 66928, 52743, 51561, 50943, 64387, 51064, 51108, 51317, 58652, 52050, 53612, 59620, 55936, 51159, 50454, 50798, 58472, 51308, 64785 ]

[ 0, 250, 19448, 8, 5679, 26709, 15855, 2125, 4246, 41, 21979, 8669, 816, 5, 33301, 6, 7513, 30, 10, 31391, 1672, 9590, 6, 21072, 6, 38668, 11212, 6, 8, 18558, 4, 20, 2214, 34, 10, 1619, 619, 7, 24, 8, 16, 1341, 11653, 4, 85, 18, 11, 5, 762, 9, 272, 538, 6, 34, 10, 1769, 20889, 6, 8, 16, 1982, 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 ]

[ 56236, 51444, 51066, 51788, 51066, 50424, 51207, 66605, 51076, 59618, 54432, 74164, 51067, 67289, 51207, 62287, 51444, 51066, 51563, 51066, 52478, 51207, 62643, 51076, 60280, 54432, 62751, 51067, 67476, 51207, 51066, 50449, 51444, 51066, 51438, 51066, 50460, 51207, 50860, 52177, 50947, 63541, 54432, 66057, 51032, 65174, 51207, 51066, 50443, 51444, 51066, 51292, 51066, 50453, 51207, 60271, 50929, 50860, 51809, 54432, 67008, 51032, 54675, 51207, 51066, 50437, 51444, 51066, 51067, 51066, 50447, 51207, 72477, 51078, 61046, 54432, 50860, 51601, 50947, 56111, 51207, 51066, 50430, 51444, 51066, 51032, 51066, 50441, 51207, 63999, 50970, 67413, 54432, 55273, 50947, 50860, 61108, 51066, 50424, 51444, 51066, 51032, 51066, 50434, 51207, 74164, 50970, 67289, 54432, 54554, 50947, 69502, 51207, 51066, 52478, 51444, 51066, 51076, 51066, 50428, 51207, 65174, 50929, 67476, 54432, 56059, 50929, 67976, 51207, 51066, 50459, 51504, 51066, 51076, 51066, 56020, 51207, 66057, 50929, 54684, 54432, 66519, 50929, 70636, 51207, 51066, 50453, 51574, 51066, 51076, 51066, 51601, 51207, 67008, 50929, 54675, 54432, 65492, 50929, 74089, 51207, 51066, 50447, 52562, 51066, 51076, 51066, 50457, 51207, 50860, 60938, 56111, 54432, 65644, 56775, 51009, 50929, 66605, 51207, 51066, 50440, 51444, 51066, 51076, 51066, 51207, 54217, 50451, 56917, 51066, 51207, 55273, 50929, 66426, 62900, 51300, 54432, 50860, 52478, 50929, 71577, 51207, 51066, 50434, 50832, 50860, 51504, 51066, 51076, 51066, 52993, 51795, 50444, 51207, 54554, 50929, 69502, 54432, 73481, 50929, 50860, 52177, 51207, 51066, 50428, 51574, 51066, 51076, 51066, 51207, 54217, 50438, 51207, 70636, 50929, 67976, 54432, 70937, 50929, 60271, 51207, 51066, 55753, 52562, 51066, 51076, 51066, 52993, 51795, 50432, 56917, 50860, 51207, 66519, 60221, 50860, 50929, 73480, 56917, 50860, 54432, 61443, 56917, 51066, 50929, 62183, 51207, 51066, 50458, 56775, 50860, 51601, 56917, 51066, 51444, 51066, 51076, 51066, 51207, 54217, 50425, 60221, 50860, 51207, 65492, 62900, 51009, 50929, 74089, 54432, 61870, 50929, 63999, 51207, 51066, 50457, 51504, 51066, 51076, 51066, 52993, 51795, 53069, 51207, 71577, 50929, 66605, 54432, 59618, 50929, 74164, 51207, 62568, 51574, 51066, 51076, 51066, 51207, 51184, 50461, 51207, 50860, 52478, 50929, 62643, 54432, 71355, 50929, 62751, 51207, 63523, 52562, 51066, 51076, 51066, 52993, 51795, 50454, 51207, 50860, 50960, 51066, 50460, 50929, 50860, 52177, 54432, 50860, 51076, 51066, 50422, 56775, 51009, 50929, 66057, 51076, 50860, 51207, 63284, 51076, 55276, 51444, 51066, 51076, 51066, 51207, 54217, 50448, 56917, 51066, 51207, 62183, 50929, 60271, 62900, 51300, 54432, 50860, 51809, 50929, 67008, 51207, 51066, 50431, 50832, 50860, 51504, 51066, 51076, 51066, 52993, 51795, 50442, 51207, 61443, 50929, 72477, 54432, 65836, 50929, 50860, 51601, 51207, 51066, 50425, 51574, 51066, 51076, 51066, 51207, 51184, 50435, 51207, 61870, 50929, 63999, 54432, 67413, 50929, 55273, 51207, 51066, 53069, 52562, 51066, 51076, 51066, 52993, 51795, 50429, 56917, 50860, 51207, 50860, 50960, 51066, 50434, 60221, 50860, 50929, 74164, 56917, 51066, 54432, 50860, 51076, 51066, 50445, 50929, 54554, 56775, 51066, 51076, 50860, 51207, 51066, 50455, 51076, 73481, 56917, 51066, 51444, 51066, 51076, 51066, 51207, 54217, 57731, 60221, 50860, 51207, 71355, 62900, 51059, 50929, 65174, 54432, 55276, 50929, 56059, 60542, 51732, 51207, 51066, 50454, 51504, 51066, 51076, 51066, 52993, 51795, 51809, 51207, 63541, 50929, 66057, 54432, 54684, 50929, 66519, 51207, 51066, 50448, 51574, 51066, 51076, 51066, 51207, 51184, 50458, 51207, 50860, 51601, 50929, 67008, 54432, 54675, 50929, 65492, 51207, 51066, 50441, 52562, 51066, 51076, 51066, 52993, 51795, 50452, 51207, 50860, 50960, 51066, 50457, 50929, 50860, 50799, 54432, 50860, 51076, 51066, 50419, 50929, 65644, 51076, 50860, 51207, 51066, 50430, 62900, 50860, 51076, 59618, 56917, 57759, 50860, 51444, 51066, 51076, 51066, 51207, 54217, 51684, 51300, 66651, 67289, 56775, 52715, 50860, 51207, 67413, 56917, 56168, 50860, 50929, 55273, 50804, 50860, 54432, 50860, 51137, 51066, 50461, 50791, 50860, 50929, 50860, 52478, 50791, 50860, 51207, 51066, 52993, 51066, 50423, 62900, 52715, 60280, 56917, 57759, 50860, 51504, 51066, 51076, 51066, 52584, 51300, 55703, 67476, 56775, 52715, 50860, 51207, 56059, 56917, 56168, 50860, 50929, 50860, 51382, 50860, 54432, 50860, 51137, 51066, 50455, 50791, 50860, 50929, 50860, 64402, 50860, 51207, 51066, 52584, 51066, 52177, 62900, 52715, 63541, 56917, 57759, 50860, 51574, 51066, 51076, 51066, 51207, 54217, 52474, 51300, 80011, 65174, 56775, 52715, 50860, 51207, 55276, 56917, 56168, 50860, 50929, 50860, 62177, 50860, 54432, 50860, 51137, 51066, 57913, 50860, 50929, 50860, 56403, 50860, 51207, 51066, 52474, 51066, 50459, 62900, 52715, 50860, 51809, 56917, 57759, 50860, 52562, 51066, 51076, 51066, 52585, 51300, 61797, 54675, 56775, 52715, 50860, 51207, 54684, 56917, 58834, 50860, 50929, 66519, 50804, 50860, 54432, 50860, 51137, 51066, 50442, 56775, 57838, 50860, 50929, 50860, 51618, 50860, 51207, 51066, 52585, 51066, 79352, 50860, 57796, 50860, 51444, 51066, 51076, 51066, 51207, 54217, 51684, 51300, 51601, 50791, 56111, 56917, 58834, 50860, 51207, 65644, 50791, 50860, 50929, 65492, 62900, 51300, 50804, 50860, 54432, 50860, 51137, 51066, 63842, 50860, 50929, 50860, 51572, 50860, 51207, 51066, 52993, 51066, 55894, 67413, 50798, 50860, 51504, 51066, 51076, 51066, 52584, 51300, 50457, 50791, 50860, 53028, 50860, 51207, 71249, 50791, 50860, 50929, 50860, 57453, 50860, 54432, 50860, 51137, 51066, 51532, 50860, 50929, 50860, 51556, 50860, 51207, 51066, 51640, 51066, 66651, 67289, 50798, 50860, 51504, 51066, 50947, 51066, 51416, 51300, 52320, 69502, 50791, 50860, 51131, 66426, 50791, 50860, 50986, 50860, 52478, 56775, 61037, 50860, 51504, 50860, 51416, 51066, 51510, 50860, 50970, 71355, 56775, 58834, 50860, 51131, 51066, 64821, 67476, 56775, 53236, 50860, 51574, 51066, 51032, 51066, 52474, 63523, 56917, 57838, 67976, 50791, 50860, 51207, 50860, 54423, 51066, 56403, 50860, 50986, 50860, 55985, 50860, 54432, 50860, 52993, 51300, 71349, 50860, 50929, 63541, 56917, 52715, 50860, 51207, 51066, 50427, 56917, 57838, 54684, 50852, 50860, 51444, 51066, 51076, 51066, 52993, 54217, 50443, 51207, 73422, 50929, 62183, 54432, 61046, 50929, 50860, 51809, 51207, 62819, 51504, 51066, 51076, 51066, 50436, 51207, 73480, 50929, 61443, 54432, 72477, 50929, 65836, 51207, 51066, 52591, 51574, 51066, 51076, 51066, 50430, 51207, 59618, 50929, 61870, 54432, 63999, 50929, 67413, 51207, 51066, 50461, 52562, 51066, 51076, 51066, 60212, 51207, 60280, 50929, 62751, 54432, 67476, 56775, 51009, 50929, 67289, 51207, 51066, 50455, 50791, 50860, 51444, 51066, 51076, 51066, 51207, 54217, 51684, 51066, 52177, 56917, 57759, 50860, 51207, 50860, 51684, 51066, 50423, 50929, 71355, 62900, 51300, 50804, 50860, 54432, 50860, 51137, 51066, 50433, 50929, 50860, 51570, 50860, 51207, 51066, 52993, 51066, 50449, 50798, 50860, 51504, 51066, 51076, 51066, 52584, 51066, 51621, 50860, 51207, 50860, 52584, 51066, 51809, 50929, 50860, 53951, 50860, 54432, 50860, 51137, 51066, 50427, 50929, 50860, 51361, 50860, 51207, 51066, 52584, 51066, 55820 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 980, 219, 5466, 6, 4246, 81, 9756, 8669, 6, 38668, 22052, 6, 17605, 9590, 6, 38668, 483, 6, 8, 3459, 8669, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 6, 2351, 10, 19448, 8, 3366, 219, 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, 0, 0, 0, 0 ]

[ 54458, 50459, 51409, 50883, 53371, 63958, 51263, 53501, 51188, 54430, 51245, 53601, 72723, 54430, 52009, 51362, 52471, 51274, 53372, 51294, 53371, 52570, 51409, 52570, 51942, 53501, 59405, 50828, 54117, 50836, 54117, 58093, 54117, 50855, 54117, 64355, 51155, 50837, 51482, 50828, 51482, 54579, 51482, 50890, 51482, 67596, 51155, 52639, 76910, 51368, 60329, 51063, 54694, 72826, 51368, 61799, 51063, 53705, 52009, 51336, 52471, 51977, 54415, 52282, 51195, 50828, 51195, 58406, 51075, 54002, 59337, 51195, 50840, 51195, 53813, 73650, 51250, 50884, 51250, 57681, 51211, 50836, 77866, 51250, 52510, 51075, 50841, 51195, 50841, 51195, 59484, 51195, 50809, 51195, 53401, 51075, 53035, 51063, 50836, 76910, 51368, 54139, 51063, 50836, 70711, 51368, 54583, 51155, 50828, 51482, 50884, 51482, 56419, 51155, 50820, 51482, 50840, 51482, 50840, 50799, 52009, 51362, 52471, 51274, 53051, 51541, 54117, 50846, 54117, 58486, 54117, 50836, 54117, 54402, 51155, 50863, 51482, 50884, 51482, 55893, 51155, 50841, 51482, 50836, 51482, 53548, 51063, 77186, 50930, 51368, 60579, 57111, 72826, 51368, 53810, 52009, 52282, 52471, 52282, 54415, 52827, 51075, 50836, 51195, 50818, 51195, 53593, 51075, 50818, 51195, 50887, 51195, 54957, 51211, 50887, 51250, 50890, 51250, 58040, 51211, 50887, 77866, 51250, 52510, 51075, 50828, 67250, 51195, 55761, 51075, 50846, 51195, 50818, 51195, 52396, 51063, 50828, 76910, 51368, 58045, 51063, 50836, 70711, 51368, 54319, 51482, 50887, 51482, 66000, 51155, 56047, 51482, 50840, 51482, 66430, 51155, 50829, 72723, 54217, 52009, 51496, 52471, 51343, 53372, 51496, 53371, 53601, 51409, 53501, 51245, 53601, 51263, 53002, 51188, 52570, 59405, 50841, 54117, 50895, 54117, 57705, 54117, 50809, 54117, 52628, 51482, 50818, 51482, 61553, 51155, 53744, 51482, 50887, 51482, 60743, 51155, 53855, 65320, 51368, 50884, 51368, 56499, 57111, 70310, 51368, 54937, 52009, 51685, 52471, 51977, 54415, 51977, 51075, 50828, 51195, 50828, 51195, 54986, 51075, 50884, 51195, 50818, 51195, 53418, 73650, 77866, 51250, 54790, 73781, 51250, 50855, 51250, 54465, 51075, 50841, 51195, 50828, 51195, 55354, 51075, 50846, 51195, 50809, 51195, 55268, 65320, 51368, 50867, 51368, 57168, 65320, 51368, 50890, 51368, 54663, 51155, 50863, 51482, 50887, 51482, 59022, 51155, 50841, 51482, 50840, 51482, 50840, 50799, 52009, 51226, 52471, 51496, 53051, 51541, 54117, 50846, 54117, 54639, 54117, 50836, 54117, 54507, 51155, 50841, 51482, 50895, 51482, 58980, 65502, 51482, 50884, 51482, 53516, 51063, 50855, 76910, 51368, 59974, 51063, 50862, 76910, 51368, 52359, 52009, 52827, 52471, 51685, 54415, 52282, 51075, 50809, 69747, 51195, 54986, 51075, 50809, 51195, 50818, 51195, 52565, 73781, 51250, 76409, 54790, 73650, 51250, 50855, 51250, 54465, 51075, 50846, 69747, 51195, 53641, 51075, 50855, 51195, 50828, 51195, 53533, 54747, 50911, 51063, 50862, 76910, 51368, 54139, 51063, 50855, 72826, 51368, 53875, 57397, 50962, 51155, 50828, 51482, 50884, 51482, 56924, 60302, 50882, 51409, 51031, 53371, 50890, 51155, 50818, 51482, 50836, 51482, 61629, 51263, 54430, 51188, 53501, 51245, 52570, 72723, 54430, 52009, 51573, 52471, 51573, 53372, 51541, 53371, 52570, 51409, 53501, 59405, 50841, 54117, 50846, 54117, 58486, 54117, 50855, 54117, 61292, 51942, 53070, 50734, 50330, 50940, 51482, 50884, 51482, 63754, 51155, 53423, 51155, 50809, 51482, 50818, 51482, 52437, 51063, 50809, 70310, 51368, 65469, 50734, 50330, 51033, 50429, 57111, 72826, 51368, 53695, 52009, 52282, 52471, 52282, 54415, 52282, 51075, 50828, 51195, 50840, 51195, 59093, 50734, 50330, 57836, 51075, 50809, 51195, 50840, 51195, 52444, 51211, 50887, 51250, 50890, 51250, 70988, 50734, 50330, 51160, 50441, 73650, 51250, 50855, 51250, 54465, 51075, 50828, 65033, 51195, 55761, 51075, 50836, 51195, 50841, 51195, 53533, 50734, 50328, 51033, 51063, 50836, 51368, 50855, 51368, 56269, 51063, 50855, 70711, 51368, 54319, 50734, 50327, 50952, 51155, 50841, 51482, 50884, 51482, 56419, 51155, 50841, 51482, 50836, 51482, 50840, 50799, 52009, 51541, 52471, 51274, 53051, 51362, 54117, 50887, 54117, 67694, 50734, 50328, 51160, 51942, 56231, 54117, 50840, 54117, 61292, 51942, 53223, 51482, 50818, 51482, 58158, 51155, 55795, 51155, 50828, 51482, 50809, 51482, 52329, 50734, 50328, 50921, 57111, 76910, 51368, 56338, 51063, 50855, 70310, 51368, 52359, 52009, 52282, 52471, 52282, 54415, 51977, 50734, 50327, 50821, 51075, 50836, 67250, 51195, 55310, 51075, 50836, 51195, 50828, 51195, 53442, 50734, 50328, 51033, 51211, 50887, 51250, 76409, 59846, 51211, 50890, 51250, 50836, 51250, 54465, 50734, 50327, 50948, 51075, 50841, 51195, 50828, 51195, 55354, 51075, 50809, 51195, 50828, 51195, 53533, 51063, 50855, 72826, 51368, 68343, 74208, 51379, 50453, 51063, 50836, 72826, 51368, 53875, 51155, 50829, 51482, 50809, 51482, 57661, 51482, 50855, 51482, 61780, 51155, 50820, 72723, 51732, 52009, 51541, 52471, 51496, 53372, 51573, 51263, 58690, 51188, 58690, 53371, 57676, 51409, 54217, 51245, 57676, 59405, 50846, 54117, 50836, 54117, 64521, 51942, 56231, 51942, 50841, 54117, 50836, 54117, 54402, 50734, 50330, 50921, 51155, 50828, 51482, 50884, 51482, 55893, 51155, 50862, 51482, 50857, 51482, 52524, 57111, 76910, 51368, 64502, 50734, 50330, 58465, 51063, 50836, 76910, 51368, 53810, 52009, 51977, 52471, 52827, 54415, 52282, 51075, 50828, 51195, 50841, 51195, 57398, 50734, 50330, 55632, 51075, 50836, 65033, 51195, 53574, 73650, 77483, 51250, 71647, 50734, 50330, 51160, 50441, 73650, 51250, 50886, 51250, 54434, 51075, 50846, 51195, 50828, 51195, 53641, 51075, 50846, 69747, 51195, 53533, 50734, 50328, 51033, 51063, 50836, 51368, 50887, 51368, 58629, 51063, 50836, 70711, 51368, 54583, 51155, 50834, 51482, 50884, 51482, 61612, 50734, 50327, 68169, 51155, 50841, 51482, 50862, 51482, 50855, 50799, 52009, 51541, 52471, 51541, 53051, 51362, 51942, 50834, 54117, 50809, 54117, 67694, 50734, 50328, 51379, 50417, 54117, 50855, 54117, 54402, 51482, 50895, 51482, 63754, 51155, 60170, 51224, 54069, 51155, 75224, 50828, 51482, 50884, 51482, 53516, 50734, 50328, 50921, 51063, 50381, 53823, 50817, 51368, 50887, 51368, 59974, 51063, 50836, 76910, 51368, 53810, 52009, 51685, 52471, 52311, 54415, 52282, 50734, 50327, 50921, 51075, 63027, 51031, 65033, 51195, 55310, 51075, 50887, 69747, 51195, 53442, 50734, 50328, 50921, 51211, 50887, 77483, 51250, 59779, 51211, 50887, 51250, 50836, 51250, 54400, 50734, 50330, 50921, 51075, 75223, 51031, 69747, 51195, 53641, 51075, 50846, 69747, 51195, 53533, 50734, 50330, 50821, 51263, 50949, 51188, 51031, 51063, 50376, 53823, 50818, 72826, 51368, 64703, 51456, 54363, 51063, 50379, 54936, 50837, 72826, 51368, 53875, 50734, 50330, 50921, 51155, 76494, 50961, 51482, 50961, 51482, 60451, 51155, 74072, 50949, 51482, 50840, 51482, 50840, 50799, 54380, 54430, 51716, 51362, 52547, 51274, 53909, 51362, 50734, 50328, 50921, 53682, 54430, 59405, 50846, 53760, 50840, 53760, 59980, 55317, 58690, 51498, 57676, 51347, 53073, 51497, 51492, 50417, 53760, 50840, 53760, 54507, 50734, 50327, 50921, 50421, 51386, 50863, 51915, 50828, 51915, 54069, 51915, 50887, 51915, 67596, 51386, 52870, 50734, 50328, 50921, 51425, 50840, 51425, 60329, 51222, 54694, 51425, 50836, 51425, 59225, 51222, 53705, 51716, 52282 ]

[ 0, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 765, 2214, 16, 17407, 30, 63, 5386, 8, 9066, 6711, 4, 20, 6755, 12547, 1239, 1312, 1289, 6, 2351, 41, 5466, 9, 814, 8, 10603, 4, 8504, 11, 211, 538, 8, 6780, 10, 23667, 12447, 1001, 20889, 6, 24, 3905, 10, 33215, 16739, 9, 211, 6, 163, 6, 3676, 6, 83, 6, 8, 272, 6, 70, 150, 2329, 1843, 154, 7, 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 ]

[ 56236, 52830, 51745, 51299, 51745, 51301, 51745, 51093, 51745, 51266, 51745, 51304, 51745, 51304, 51745, 52776, 51091, 51088, 51091, 51088, 69467, 51699, 50882, 51088, 50821, 51182, 50821, 51182, 55381, 51299, 51573, 51093, 51745, 51304, 51745, 51304, 51745, 50456, 51699, 74567, 50821, 51182, 50821, 51182, 50821, 68051, 51030, 51093, 51030, 51304, 51030, 51304, 64342, 51699, 50948, 51088, 50936, 51182, 50936, 51182, 63446, 51299, 50921, 51093, 51033, 51304, 51033, 51304, 68981, 51301, 50821, 51266, 50882, 51733, 50882, 51733, 55734, 51088, 51573, 51182, 51573, 51926, 51573, 51926, 51745, 70526, 51541, 51201, 51541, 51690, 51541, 51690, 51541, 50432, 51251, 50890, 51107, 50930, 51384, 50930, 51384, 56341, 51154, 50896, 51201, 50896, 51690, 50896, 51690, 57024, 75848, 76614, 51384, 50821, 51384, 50821, 70526, 51175, 51201, 51175, 51690, 51175, 51690, 78790, 51251, 50865, 75659, 51384, 50948, 51384, 58292, 52065, 50795, 71006, 51558, 50795, 51558, 51736, 51251, 51111, 51107, 51111, 51384, 51111, 51384, 73835, 51699, 51090, 51088, 51090, 51182, 51090, 51182, 51090, 70321, 50835, 51088, 50820, 51299, 50840, 51093, 50840, 51088, 50917, 66466, 51304, 51192, 50420, 51301, 51128, 51088, 50886, 51093, 50864, 51299, 52710, 51301, 50971, 67274, 51093, 51000, 51299, 50800, 51304, 51496, 50432, 51301, 51851, 51088, 50904, 76434, 51299, 52841, 51301, 50941, 51088, 50813, 51093, 50857, 51299, 52711, 51301, 51126, 51088, 50857, 51093, 50886, 51299, 50812, 51733, 66070, 51301, 50904, 51088, 50857, 51093, 50857, 76809, 51384, 51923, 51301, 50864, 51088, 50864, 73317, 76809, 51304, 50806, 68051, 50809, 66528, 51088, 50855, 80154, 51384, 69453, 51304, 61060, 51384, 67237, 51304, 55180, 51299, 50836, 51154, 50867, 51088, 50904, 51107, 50857, 51558, 58292, 51299, 50836, 51154, 50857, 51088, 50867, 51107, 50813, 51558, 51496, 50432, 51299, 50855, 51154, 50904, 51088, 50904, 51107, 53891, 51299, 50840, 51154, 50864, 51088, 50813, 51107, 53086, 51299, 50836, 51154, 50904, 51088, 50886, 51201, 50857, 51384, 60866, 51154, 50840, 51088, 50836, 51299, 50812, 51357, 50959, 51690, 68635, 51299, 50855, 51154, 50840, 51088, 50855, 51107, 50813, 51558, 50893, 68051, 50840, 51301, 50855, 51088, 50836, 51093, 50813, 51384, 51158, 50420, 51299, 50836, 51301, 50904, 51088, 50813, 51093, 50857, 51304, 51620, 51299, 50840, 51301, 69685, 50840, 51093, 50867, 51304, 62138, 51299, 50836, 51301, 50857, 51088, 50836, 51093, 54728, 51299, 50836, 63641, 51088, 50840, 51093, 54758, 51299, 50855, 63641, 51088, 50855, 51093, 50857, 51733, 60866, 51299, 50836, 51301, 50857, 51088, 50840, 76090, 51384, 55764, 51299, 50855, 51301, 50855, 51088, 50840, 70051, 51304, 50865, 68051, 50840, 51154, 69685, 50840, 51107, 50862, 51384, 50930, 50416, 51304, 61060, 51384, 64941, 51304, 55777, 51299, 50855, 51154, 71247, 50836, 51107, 50857, 51558, 58798, 51299, 50836, 66528, 51088, 50840, 51107, 50862, 51558, 55224, 51299, 50855, 51154, 69685, 50855, 51107, 54077, 51299, 50855, 51154, 69685, 50855, 51107, 63634, 51154, 71247, 50836, 51201, 50886, 51299, 50854, 51384, 65399, 51154, 50855, 51088, 50840, 51299, 50833, 51357, 50925, 51690, 63109, 51107, 50841, 51154, 50840, 51088, 50836, 51299, 50810, 51558, 50806, 68051, 50808, 51088, 50844, 51304, 51033, 51301, 51060, 51088, 51095, 50420, 51088, 50971, 51299, 50833, 51304, 57327, 51088, 50904, 51201, 50809, 51251, 50808, 51304, 55104, 51558, 54053, 51088, 50904, 51201, 50836, 51251, 50812, 51284, 65470, 51558, 52841, 51088, 50886, 51301, 50812, 51182, 50858, 51304, 60224, 51088, 50971, 51182, 50840, 51301, 50810, 51304, 63233, 52065, 71247, 50857, 51733, 50830, 51201, 61157, 51384, 54166, 51266, 50862, 73493, 52065, 50878, 51304, 64175, 51384, 50840, 51107, 50854, 66325, 50857, 51733, 50887, 51299, 50800, 51088, 53066, 51088, 52134, 51093, 50867, 51733, 50890, 51299, 52450, 51088, 50886, 75848, 51357, 50833, 51926, 57781, 51690, 52359, 51251, 50808, 51088, 50912, 51357, 50810, 51733, 56535, 51690, 52599, 51093, 51162, 51301, 50889, 51926, 71533, 51542, 73296, 51490, 51182, 76357, 51284, 52519, 51201, 51314, 73296, 51123, 51182, 50984, 52065, 51314, 51699, 53055, 50417, 51201, 51166, 51107, 52482, 50426, 51201, 52048, 51107, 51738, 50438, 51107, 51123, 51201, 51365, 51299, 52263, 51883, 53055, 50441, 51266, 52063, 51093, 52059, 50450, 51266, 53096, 51093, 52048, 73296, 51824, 51887, 54521, 51154, 51203, 51113, 52056, 50417, 51107, 52518, 50426, 51887, 52034, 51154, 51025, 51107, 52048, 51113, 65184, 51251, 50987, 51093, 51254, 51699, 53957, 51154, 51709, 50444, 51357, 54823, 51113, 50886, 51699, 51233, 51699, 52048, 51251, 62214, 51357, 50904, 63441, 50907, 51699, 51051, 52830, 52731, 51093, 67016, 51357, 50851, 51088, 51051, 51699, 52731, 51107, 58087, 51093, 51000, 51088, 51174, 51266, 52518, 51299, 54344, 73296, 52147, 51182, 64488, 51284, 50981, 51201, 52212, 73296, 51079, 51182, 51100, 51699, 52147, 51251, 62557, 51201, 50855, 51107, 54325, 51107, 50813, 51201, 53810, 51107, 50813, 51201, 53574, 51107, 50845, 65979, 51301, 51108, 51883, 51965, 50444, 51093, 50857, 51266, 52741, 51093, 50855, 51266, 52485, 51093, 50813, 51266, 50840, 50799, 51887, 51174, 51113, 50977, 66466, 51883, 51242, 50420, 51107, 52710, 51883, 50874, 69651, 67247, 51887, 65948, 51883, 50827, 51113, 50844, 51107, 52599, 51699, 51079, 51154, 50901, 51093, 50873, 51887, 70856, 51357, 55125, 51154, 50813, 51887, 50827, 51699, 50984, 51113, 53702, 51154, 50813, 51887, 50874, 51357, 50938, 67378, 50808, 51299, 50936, 51299, 51285, 51301, 51685, 51093, 51685, 50420, 51251, 50808, 51299, 61001, 51301, 50809, 51299, 56896, 51301, 50812, 51299, 70228, 51299, 50836, 51301, 69869, 51107, 50813, 51154, 51820, 51299, 50971, 51301, 51126, 50445, 51301, 50813, 51093, 58638, 51251, 50840, 51357, 50878, 50449, 51301, 50836, 51093, 53938, 51299, 51693, 51301, 50984, 51154, 50938, 51107, 79100, 51299, 50971, 51301, 51123, 51251, 50937, 51357, 50892, 70321, 50800, 51299, 51045, 51266, 51196, 51093, 51685, 50420, 51301, 50862, 51299, 54856, 51301, 50840, 51299, 68981, 51299, 50950, 51301, 52729, 51299, 50867, 51301, 54947, 51299, 50971, 51301, 51022, 51107, 50808, 51201, 58638, 76434, 51266, 56317, 74611, 51107, 50959, 50449, 51093, 50840, 51266, 53140, 51299, 50864, 51301, 50851, 75659, 51201, 60077, 51299, 50971, 51301, 50971, 51357, 50865, 51107, 50987, 68051, 50941, 51093, 50925, 51266, 51285, 51182, 67568, 51299, 50904, 51304, 53906, 51299, 51000, 51304, 52559, 51299, 50904, 51304, 51724, 51299, 50822, 51304, 50830, 51284, 50915, 51201, 51356, 50444, 76809, 51304, 52610, 51299, 50800, 51384, 50821, 51558, 58705, 51299, 50858, 64672, 68051, 50882, 51304, 50800, 51304, 50914, 51266, 51204, 50420, 51299, 50800, 51304, 51620, 52065, 50840, 51558, 50890, 51384, 50914, 51182, 51196, 50432, 51558, 50809, 52065, 59826, 51304, 50880, 51299, 50858, 51733, 55480, 51304, 50809, 51299, 53153, 51883, 50858, 51284, 50821, 52405, 51048, 51304, 57024, 51883, 50808, 51284, 50830, 78936, 50941, 51182, 50840, 51384, 50840, 51926, 51364, 51558, 57214, 51699, 50857, 51182, 50836, 51384, 51620, 51182, 50840, 64672, 51699, 62019, 51182, 50840, 51384, 50809, 51699, 50821, 51384, 73835, 51284, 50840, 51384, 50890 ]

[ 0, 250, 765, 6, 1769, 12, 20764, 37903, 9, 5175, 3495, 930, 11, 381, 3694, 6, 4246, 10, 1372, 8, 15352, 30054, 16464, 19, 41, 20425, 619, 6, 2905, 10686, 13, 304, 11, 822, 50, 7630, 14805, 10, 1035, 6711, 6, 21437, 10, 33215, 16739, 9, 272, 73, 250, 6, 3676, 6, 8, 274, 10431, 119, 11, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 51315, 75677, 79306, 53318, 50315, 50858, 53337, 51566, 50861, 51500, 50973, 51566, 50438, 51315, 51016, 55989, 64294, 50921, 50973, 59349, 51120, 51496, 50900, 79896, 53318, 50311, 50921, 52591, 50900, 69856, 79232, 50887, 53523, 51274, 50916, 51552, 50861, 68249, 51120, 51541, 55895, 50991, 50916, 51167, 50861, 50893, 55547, 51343, 50900, 51173, 50916, 65274, 51030, 53523, 70660, 73523, 59306, 51279, 51294, 55513, 51060, 50916, 51192, 50877, 65651, 51324, 51527, 50899, 51158, 50989, 50976, 50973, 51286, 52591, 50899, 77997, 50817, 50973, 50961, 53337, 51541, 50989, 69732, 51603, 50438, 51324, 62001, 50973, 54145, 50989, 57241, 50899, 50809, 57551, 51226, 50916, 79306, 51286, 50973, 51286, 56248, 51290, 50861, 51454, 50973, 51454, 50438, 51315, 61726, 50916, 51060, 50861, 52370, 50315, 57241, 51120, 51551, 50900, 57341, 73796, 50890, 52591, 50900, 69856, 79232, 53150, 50900, 51343, 50916, 51552, 50861, 51496, 50444, 51120, 51541, 55895, 51175, 50916, 51354, 50861, 51286, 55547, 51362, 50900, 51173, 50916, 64515, 50911, 53523, 51290, 50916, 51603, 50877, 51500, 50438, 51279, 51091, 55513, 51173, 50916, 51286, 50877, 67840, 51324, 52097, 50899, 62838, 53936, 50315, 50806, 52591, 50899, 71221, 50811, 50973, 50930, 53337, 53177, 50310, 50993, 50973, 54957, 51324, 52512, 50444, 50973, 75044, 50989, 58954, 74654, 64001, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 765, 37903, 9, 15352, 30054, 5175, 930, 19, 10, 38668, 483, 6, 13305, 6, 8, 17288, 4, 85, 18, 20425, 648, 2635, 6, 19, 10, 2933, 8, 980, 219, 5466, 4, 20, 2125, 16, 11, 274, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 41, 12447, 1001, 20889, 9, 9680, 163, 5683, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52408, 50795, 59802, 50818, 51120, 56100, 52987, 50795, 59802, 53423, 52412, 50795, 59802, 52437, 59802, 52209, 52408, 50795, 59802, 53593, 59802, 52565, 52987, 50795, 59802, 52210, 52276, 50795, 59802, 53641, 59802, 52396, 52987, 50795, 59802, 52349, 52276, 50795, 59802, 53902, 59802, 50818, 50799, 52479, 50795, 59802, 50818, 51234, 56100, 53355, 50795, 59802, 53423, 52408, 50795, 59802, 52437, 59802, 52209, 52479, 50795, 59802, 53593, 59802, 52565, 53355, 50795, 59802, 52210, 52412, 50795, 59802, 53641, 59802, 52396, 53355, 50795, 59802, 53545, 59802, 52349, 52412, 50795, 59802, 53902, 59802, 50818, 50799, 52408, 50795, 59802, 50818, 51247, 56100, 52276, 50795, 59802, 53423, 52412, 50795, 59802, 52437, 59802, 52209, 52408, 50795, 59802, 53593, 59802, 52565, 53209, 50795, 59802, 52210, 52276, 50795, 59802, 53641, 59802, 52396, 53209, 50795, 59802, 52349, 52276, 50795, 59802, 53902, 59802, 50818, 50799, 52412, 50795, 59802, 50818, 51279, 56100, 53378, 50795, 59802, 53423, 52276, 50795, 59802, 52437, 59802, 52209, 52412, 50795, 59802, 53593, 59802, 52565, 53378, 50795, 59802, 52210, 52117, 50795, 59802, 53641, 59802, 52396, 53378, 50795, 59802, 53545, 59802, 52349, 52117, 50795, 59802, 53902, 59802, 50818, 50799, 52408, 50795, 59802, 50818, 51120, 56100, 52987, 50795, 59802, 53423, 52412, 50795, 59802, 52437, 59802, 52209, 52408, 50795, 59802, 53593, 59802, 52565, 52987, 50795, 59802, 52210, 52276, 50795, 59802, 53641, 59802, 52396, 52987, 50795, 59802, 52349, 52276, 50795, 59802, 53902, 59802, 50818, 50799, 52479, 50795, 59802, 50818, 51234, 56100, 53355, 50795, 59802, 53423, 52408, 50795, 59802, 52437, 59802, 52209, 52479, 50795, 59802, 53593, 59802, 52565, 53355, 50795, 59802, 52210, 52412, 50795, 59802, 53641, 59802, 52396, 53355, 50795, 59802, 53545, 59802, 52349, 52412, 50795, 59802, 53902, 59802, 50818, 50799, 52408, 50795, 59802, 50818, 51247, 56100, 52276, 50795, 52276, 50795, 59802, 53423, 52412, 50795, 59802, 52437, 59802, 52209, 52408, 50795, 59802, 53593, 59802, 52565, 53209, 50795, 59802, 52210, 52276, 50795, 59802, 53641, 59802, 52396, 53209, 50795, 59802, 52349, 52276, 50795, 59802, 53902, 59802, 50818, 50799, 52412, 50795, 59802, 50818, 51085, 56100, 52648, 50795, 59802, 53423, 52276, 50795, 59802, 52437, 59802, 52209, 52412, 50795, 59802, 53593, 59802, 52565, 59802, 52210, 52408, 50795, 59802, 53641, 59802, 52396, 52479, 50795, 59802, 53545, 59802, 52349, 52412, 50795, 59802, 53902, 59802, 50818, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 765, 3495, 657, 2214, 4246, 30587, 8, 21979, 29589, 6, 13305, 6, 21072, 6, 8, 10, 6755, 12547, 6, 2351, 10, 19448, 8, 15352, 30054, 1011, 625, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 1769, 20889, 9, 19446, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 9, 272, 6, 83, 6, 8, 211, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50444, 50960, 51798, 50929, 51923, 57304, 57746, 52536, 63426, 51717, 50947, 54994, 51042, 51585, 57189, 73078, 66276, 50438, 50935, 51358, 50929, 51358, 55746, 50988, 51977, 50432, 66276, 50438, 50935, 66442, 50850, 53562, 68205, 64933, 51047, 50692, 50296, 51047, 52474, 51047, 50998, 50924, 53621, 51047, 50415, 50868, 51183, 50416, 50847, 51448, 50935, 51397, 57761, 54851, 50960, 57943, 51311, 58818, 50946, 51047, 50692, 50294, 51047, 51684, 51047, 50960, 51238, 52607, 51047, 50439, 50848, 51145, 50440, 50944, 51562, 50850, 51397, 50450, 51311, 55416, 50998, 51336, 57746, 51047, 50692, 50292, 51151, 51416, 51151, 52241, 79197, 76778, 50416, 50868, 51562, 79168, 50444, 50960, 51798, 51910, 50915, 61675, 53204, 57414, 57304, 57746, 51714, 50692, 50296, 51151, 51374, 51717, 50947, 50918, 51860, 51717, 50420, 51042, 51692, 57189, 51662, 50432, 50847, 51797, 50438, 50935, 51803, 50929, 51358, 50799, 50692, 50298, 62479, 50988, 51742, 50432, 50847, 52059, 50438, 50935, 51101, 63426, 63897, 50850, 56989, 50847, 51333, 50929, 51923, 57304, 57746, 51183, 50692, 50296, 51047, 51338, 51047, 51416, 51047, 64922, 51704, 51047, 52241, 51047, 50415, 50885, 51047, 50416, 50868, 51448, 79168, 50426, 51076, 51427, 50438, 50946, 51183, 50692, 50294, 51047, 51684, 51115, 69160, 52607, 51115, 50439, 50848, 51047, 50440, 50944, 51448, 50850, 51397, 50450, 71655, 57746, 51353, 50692, 50292, 51151, 51338, 51151, 51416, 51151, 50998, 51336, 51704, 51151, 52241, 79197, 50885, 51151, 50416, 50868, 51293, 50847, 51151, 50444, 50929, 54058, 50947, 53586, 58993, 70128, 64539, 50807, 51857, 51717, 51910, 51717, 50947, 51013, 52413, 51492, 53815, 51492, 78738, 60695, 52910, 76891, 67355, 75561, 50427, 73771, 51506, 74048, 51506, 64539, 50807, 51078, 58214, 78024, 50848, 60695, 53218, 51078, 53794, 50944, 51328, 68450, 69604, 50451, 51042, 51681, 50298, 56711, 51506, 75443, 50972, 51078, 71978, 50848, 67921, 51174, 70128, 64539, 50807, 63755, 78738, 60695, 53561, 50929, 69745, 76891, 67355, 50427, 73771, 51506, 74048, 51506, 64539, 61298, 50848, 60695, 52728, 50944, 51328, 68450, 53281, 56086, 51042, 51681, 50298, 50974, 52451, 59671, 54801, 53545, 54921, 57109, 53256, 52349, 51506, 75443, 50972, 50457, 50848, 67921, 51174, 57746, 57680, 50807, 51338, 51717, 51416, 51717, 51076, 51226, 51704, 51492, 53281, 51492, 50415, 50868, 55278, 52910, 68898, 67478, 50947, 51060, 76752, 51097, 50988, 51380, 50432, 50929, 77486, 50988, 57680, 58109, 78024, 50868, 55278, 53218, 50947, 54526, 73419, 50868, 51328, 50451, 50885, 68253, 56711, 50988, 60925, 50972, 50998, 51016, 50457, 50868, 57769, 51174, 57746, 57680, 61839, 50868, 55278, 53561, 50960, 55341, 68898, 67478, 50986, 51343, 76752, 51097, 50988, 74048, 50988, 57680, 61298, 50868, 55278, 52728, 73419, 50868, 51328, 50998, 78765, 50885, 68253, 56711, 50988, 60925, 50972, 51078, 50936, 50457, 50868, 57769, 51174, 57377, 57680, 50807, 51844, 51717, 51349, 51717, 50929, 51160, 51785, 67492, 50800, 54921, 51492, 50415, 50868, 55278, 52910, 77456, 50885, 51097, 55046, 50427, 67478, 50847, 61271, 50929, 56810, 50946, 57680, 50807, 50929, 76801, 78024, 50868, 55278, 58624, 50850, 60722, 51328, 50960, 50952, 50451, 50885, 61729, 56711, 50946, 60925, 60386, 66849, 50868, 57769, 51174, 50960, 51500, 57377, 57680, 61839, 50868, 55278, 53561, 50798, 69264, 50960, 51090, 62810, 51097, 50885, 63575, 60092, 67478, 68898, 50433, 50998, 66564, 50946, 57680, 61298, 50868, 55278, 58624, 50850, 60722, 51328, 56406, 50451, 50885, 61729, 56711, 50946, 60925, 50972, 51078, 59872, 64801, 50868, 57769, 51174, 57377, 57680, 50807, 51844, 51717, 51349, 51717, 50929, 50980, 51785, 67492, 50800, 54921, 67481, 50868, 55278, 52910, 77456, 50885, 51097, 59400, 50427, 67478, 50847, 61271, 50929, 51192, 50437, 50947, 59306, 50946, 57680, 58109, 50981, 53256, 52045, 50439, 50868, 55541, 52728, 73944, 50868, 51328, 50960, 51033, 50451, 50885, 61729, 56711, 50946, 60925, 50972, 50960, 57825, 64801, 76516, 51174, 57377, 56378, 52221, 56025, 50847, 55541, 52910, 75898, 68898, 50427, 67355, 50946, 51380, 50432, 50960, 52322, 50946, 56378, 50807, 51137, 50915, 50929, 62596, 51196, 50902, 51196, 50951, 50896, 57839, 50896, 63056, 50896, 65883, 50896, 53723, 52221, 51907, 60965, 52973, 50833, 50681, 50275, 61298, 50847, 59331, 51942, 52728, 73944, 73419, 51181, 50915, 50947, 51958, 50325, 50896, 63056, 50896, 61714, 50896, 51507, 52221, 51907, 56055, 52973, 67509, 50848, 61729, 50974, 58259, 53312, 50946, 60366, 50972, 50457, 50847, 57248, 51174, 57746, 64539, 50807, 51137, 51161, 51076, 51196, 50902, 51196, 50951, 51196, 51220, 51196, 63056, 51196, 65883, 51196, 61154, 51196, 53723, 51161, 57125, 72343, 55456, 50800, 50681, 50275, 51036, 77471, 51926, 71718, 50848, 58311, 51942, 51036, 51155, 61899, 68898, 67355, 50791, 59749, 73771, 50988, 74048, 50988, 64539, 52496, 51049, 72343, 51475, 65833, 50848, 55278, 52728, 73419, 68450, 73198, 50947, 51043, 50999, 50845, 61714, 50845, 51785, 55701, 50451, 51042, 68253, 56711, 50988, 75443, 50972, 51910, 57484, 51158, 50951, 50879, 65883, 50879, 52413, 51730, 59697, 50848, 57769, 51174, 61281, 60460, 50807, 51416, 51036, 50947, 51286, 50876, 53241, 50968, 53241, 50999, 53241, 57839, 51551, 62844, 51551, 61714, 51336, 51704, 55956, 55701, 59234, 51036, 51301, 51161, 51733, 75189, 50885, 55787, 50807, 51386, 51036, 51063, 56100, 50998, 57944, 67478, 50885, 63575, 55701, 50427, 50988, 51097, 51217, 74048, 51217, 60460, 52496, 52227, 72343, 51475, 65833, 50885, 55787, 52728, 50868, 51328, 79067, 50791, 50812, 51299, 50807, 51304, 63551, 50988, 51681, 50296, 56711, 51217, 51867, 50299, 50972, 50998, 51033, 50968, 50911, 62844, 55195, 59697, 50885, 59968, 51174, 61281, 60460, 50807, 51416, 51036, 51032, 51033, 50968, 51551, 50951, 51551, 51062, 50911, 62844, 56082, 65883, 56082, 70523, 55362, 51704, 55956, 55701, 59234, 51036, 51301, 52382, 51733, 52382, 50415, 50885, 55787, 50807, 51386, 51036, 51063, 56100, 51032, 50884, 51062, 53150, 67478, 50885, 51097, 64687, 51062, 51508, 59749, 50988, 51097, 51217, 51380, 50432, 51032, 75593, 55395, 51217, 60460, 50807, 51032, 50921, 50968, 51551, 50951, 51551, 51062, 50896, 52957, 72343, 51475, 65833, 50885, 55787, 52728, 50868, 51328, 79067, 51032, 51500, 51062, 57191, 58974, 50988, 51681, 50296, 56711, 51217, 51867, 50299, 60386, 59697, 50885, 59968, 51174, 57732, 67900, 60460, 50807, 51416, 50807, 51032, 51500, 50968, 53177, 50323, 53177, 50328, 51090, 51704, 52221, 55701, 72904, 71718, 50885, 55787, 50807, 51778, 51036, 51473, 61899, 67478, 50885, 51097, 51910, 50807, 51076, 51500, 51220, 51090, 61154, 51090, 52413, 59962, 55701, 51251, 50918, 51384, 50918, 50427, 50988, 51097, 51332, 51380, 51217, 74048, 51217, 60460, 50807, 51137, 50807, 55046, 50951, 50896, 65883, 54214, 51907, 60965, 55121, 53187, 65833, 51042, 55787, 52728, 50868, 51328, 51042, 51328, 51181, 50807, 55784, 50999, 50896, 61714, 54214, 51907, 56055, 50894, 55088, 50833, 51600, 50807, 52405, 63551, 50988, 51681, 50296, 56711, 51217, 51867, 50299, 50972, 50457, 51042, 59968, 51174, 57746, 64539, 50807, 51137, 51161, 51076, 51196, 50902, 51196, 50951, 51196, 51220, 51196, 63056, 51196, 65883, 51196, 61154 ]

[ 0, 250, 20902, 8, 17627, 17274, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 21979, 8669, 6, 38668, 22052, 6, 6755, 12547, 6, 10170, 1499, 6, 8, 3459, 9590, 4, 8504, 11, 272, 3694, 19, 10, 182, 1769, 20889, 6, 24, 3905, 10, 33215, 16739, 9, 274, 119, 6, 163, 428, 406, 6, 12608, 6, 8, 230, 119, 4, 20, 2214, 18, 33558, 8, 11653, 6711, 16, 1969, 13, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50643, 55986, 52437, 50843, 53116, 50843, 53083, 50843, 52881, 52330, 52192, 50458, 51531, 51142, 50988, 51965, 50460, 52393, 50984, 51042, 52519, 50461, 51666, 51051, 54399, 51365, 67355, 52563, 51003, 50847, 51199, 50935, 51267, 60383, 52204, 54511, 51449, 53370, 52204, 52243, 51367, 57030, 51007, 51241, 50425, 54399, 51008, 51666, 50878, 50848, 79433, 50847, 51309, 50935, 52063, 52554, 50813, 51707, 50941, 52146, 58412, 51406, 53225, 56565, 73419, 50848, 50905, 51468, 50437, 54399, 50932, 51666, 50915, 53758, 51351, 53752, 59433, 51531, 50854, 52368, 58332, 77363, 70249, 50935, 50892, 52554, 50833, 52146, 58849, 51406, 53225, 55223, 51007, 51330, 51707, 68826, 66329, 50458, 50848, 51481, 79651, 52368, 51097, 50799, 51531, 50915, 51019, 51003, 54924, 52204, 53752, 57074, 52330, 69925, 51871, 51008, 77369, 70249, 50935, 50892, 52554, 50854, 52850, 50810, 51707, 60034, 51406, 53225, 55477, 51149, 70550, 52330, 52015, 50433, 51871, 51244, 66329, 50434, 50868, 51481, 57974, 51205, 51351, 53752, 52800, 77369, 70249, 50935, 50892, 52554, 50810, 51707, 50874, 52850, 78553, 51406, 53225, 55223, 51149, 51330, 50457, 66329, 50458, 50868, 51481, 79651, 54884, 51449, 53818, 51449, 50799, 51908, 50874, 53375, 50959, 51069, 51003, 53752, 57074, 51908, 50959, 53375, 58382, 50885, 51242, 72419, 50850, 50892, 51707, 51008, 51891, 50810, 52850, 60034, 51406, 53225, 55477, 50909, 51330, 50433, 71359, 50434, 50885, 51481, 51468, 50437, 51908, 50915, 53375, 56692, 51019, 51351, 53752, 59433, 54399, 50972, 51666, 68465, 50885, 51242, 72419, 50850, 50892, 51707, 51008, 51891, 50897, 52850, 62450, 51406, 53225, 55223, 50909, 51330, 50455, 52368, 51445, 50456, 51531, 52151, 50457, 71359, 50458, 50885, 51481, 79651, 56490, 51449, 54511, 51449, 52288, 51003, 59113, 51449, 53752, 52639, 77363, 50944, 51101, 50850, 50892, 53154, 51142, 51997, 51008, 52146, 58849, 51406, 53225, 55477, 51007, 51330, 50433, 50944, 51423, 50434, 50848, 51481, 57974, 51228, 51025, 53752, 52800, 50964, 51400, 77363, 50944, 51101, 50850, 50892, 53154, 50827, 51997, 50959, 52146, 50955, 51068, 51406, 53225, 55223, 51007, 51330, 50457, 50944, 51423, 50458, 51908, 51365, 50848, 51481, 79651, 51691, 51008, 54237, 51174, 53818, 51449, 54798, 51003, 53733, 51449, 54638, 52204, 53752, 57074, 51691, 50878, 54237, 50955, 57189, 51242, 75333, 50850, 50892, 51997, 50874, 52146, 50810, 52879, 75310, 51406, 53225, 55477, 51007, 51330, 50433, 50872, 51423, 50434, 50848, 51481, 57974, 54237, 50995, 51691, 50981, 50945, 51351, 53752, 52800, 51908, 50959, 53375, 50987, 77363, 75333, 50850, 50892, 51997, 50878, 52146, 50878, 52879, 58849, 51406, 53225, 55223, 51007, 51330, 50457, 50872, 51423, 50458, 50848, 51481, 79651, 53375, 51775, 51908, 51775, 56271, 51449, 55321, 51449, 54924, 51449, 53400, 51003, 53752, 56818, 51691, 50933, 54237, 57818, 54399, 50978, 51042, 51242, 72419, 50992, 50892, 52814, 51210, 52850, 50955, 52554, 51008, 51068, 51406, 53225, 55477, 51666, 50933, 50935, 51330, 50433, 54399, 51448, 51666, 51878, 71359, 50434, 51042, 51481, 57974, 51205, 51351, 53752, 62120, 50992, 51470, 50935, 51470, 50446, 50868, 58175, 51042, 51242, 72419, 50992, 50892, 52554, 50978, 52814, 50933, 52850, 50878, 51068, 51406, 53225, 55223, 50935, 51330, 50457, 51666, 51008, 54399, 50955, 71359, 50458, 51042, 51481, 79651, 53375, 51312, 53818, 51449, 54924, 51449, 53511, 51449, 50799, 51908, 51576, 51069, 51025, 53752, 57074, 51666, 51775, 54399, 66038, 51205, 51400, 50885, 51242, 72419, 50850, 50892, 52850, 50854, 51997, 50822, 51891, 58849, 51406, 53225, 55477, 50909, 51330, 50433, 71359, 50434, 50885, 51481, 51468, 50437, 51531, 51097, 52368, 51253, 56107, 51025, 53752, 59433, 51871, 50905, 52330, 56697, 51228, 51400, 50885, 51242, 72419, 50850, 50892, 52850, 50955, 51891, 50897, 51997, 51058, 51068, 51406, 53225, 55223, 50909, 51330, 50457, 52939, 53233, 54237, 53233, 64564, 50458, 69047, 51468, 52288, 51025, 51171, 51775, 50944, 52996, 50848, 51775, 54511, 51108, 56490, 51108, 52243, 51367, 52712, 51019, 51400, 50868, 51480, 51217, 51380, 50847, 52378, 53154, 51210, 51997, 51008, 52146, 50822, 53370, 51108, 54924, 51108, 51068, 51406, 53225, 56565, 51468, 53357, 51025, 50992, 51852, 51164, 51534, 50872, 51172, 55321, 51108, 53733, 51108, 53752, 58171, 51068, 59596, 74366, 51506, 51534, 50944, 51775, 50450, 51213, 51400, 51322, 51072, 53154, 51008, 52146, 50955, 51997, 50955, 56490, 51709, 53818, 51108, 51068, 51909, 50820, 50799, 51871, 50904, 52330, 51319, 51666, 50941, 50953, 51003, 51209, 51603, 52243, 51367, 52712, 52330, 52835, 51666, 51000, 51871, 50971, 77363, 70249, 50935, 50892, 51209, 51160, 52554, 50904, 52146, 50822, 51707, 50371, 51822, 51406, 53225, 55477, 51007, 51330, 50433, 66329, 50434, 50848, 51481, 51468, 50437, 51666, 50851, 52330, 59580, 51871, 50912, 50927, 51351, 51209, 50993, 53752, 59433, 52330, 51252, 51666, 53567, 51871, 50851, 77363, 70249, 50935, 50892, 51209, 50993, 52554, 50912, 52146, 50810, 51707, 78627, 51406, 53225, 55223, 51007, 51330, 50457, 66329, 50458, 50848, 51481, 79651, 51666, 50907, 50799, 52330, 54060, 51871, 51000, 50953, 51003, 51229, 51066, 53752, 57074, 52330, 52462, 51666, 50912, 51871, 54504, 77363, 70249, 50935, 50892, 51209, 51300, 51707, 51008, 52554, 50851, 52146, 50942, 51068, 51406, 53225, 55477, 51007, 51330, 50433, 66329, 50434, 50848, 51481, 57974, 52330, 52101, 51666, 51000, 51871, 50984, 50927, 51025, 53752, 52800, 52330, 63667, 51666, 51381, 51871, 51330, 50953, 51400, 77363, 70249, 50935, 50892, 51209, 51932, 51707, 50933, 52554, 50810, 52146, 50878, 51068, 51406, 53225, 55223, 51007, 51330, 50457, 66329, 50458, 50848, 51481, 51468, 50799, 52939, 50941, 51415, 51003, 51547, 50993, 53752, 57074, 52330, 51550, 51666, 50907, 52939, 54504, 77363, 50944, 51101, 50935, 50892, 51547, 51160, 53154, 50912, 52554, 50933, 52146, 50878, 51068, 51406, 53225, 55477, 51007, 51330, 50433, 50944, 51423, 50434, 50848, 51481, 57974, 52330, 51022, 51666, 51123, 52939, 50984, 51213, 51351, 51547, 50993, 53752, 59433, 51666, 50984, 52330, 52462, 52939, 55634, 77363, 50944, 51101, 50935, 50892, 51209, 50923, 53154, 51051, 52146, 50955, 52554, 51008, 51068, 51406, 53225, 55223, 51007, 51330, 50457, 50944, 51423, 50458, 50848, 51481, 51547, 51352, 79651, 52330, 52101, 51666, 50907, 52939, 51022, 54798, 51003, 53752, 57074, 52330, 51550, 51666, 50827, 52939, 55124, 77363, 50944, 51101, 50935, 50892, 52554, 51008, 55653, 50854, 52146, 79041, 51406, 53225, 55477, 51007, 51330, 50433, 50944, 51423, 50434, 50848, 51481, 51468, 50437, 52330, 52101, 51666, 50907, 52939, 64212, 51213, 51351, 53752, 58171, 51068, 57855, 52330, 58483, 51666, 51576, 52939, 51709, 50450, 77363, 50944, 51101, 50935, 50892, 51547, 51066, 52554, 51210, 52146, 50959, 55653, 66437, 52270, 55223, 51007, 51330, 50457, 50944, 51423, 50458, 50848, 51481, 79651, 51666, 51365, 51873, 51128, 50799, 51691, 50941, 50927, 51003, 51256, 50993, 53752, 57074, 51873, 50907, 51666, 50874, 51691, 52580, 77363, 75333, 50850, 50892, 51256, 50993, 51997, 50955, 52146, 50878, 52879, 60034, 51406, 53225, 55477, 51007, 51330, 50433, 50872, 51423, 50434, 50848, 51481, 51468, 50437, 51873, 50851, 51666, 50851 ]

[ 0, 250, 15352, 30054, 8, 1372, 3495, 2214, 19, 11057, 16882, 6, 4246, 3459, 13305, 6, 3459, 9590, 6, 8, 21979, 8, 3459, 29589, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 1769, 20889, 9, 18872, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 3676, 401, 6, 1918, 6, 8, 163, 43531, 1176, 406, 3639, 7, 63, 8728, 8, 19448, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 51544, 50820, 78808, 50796, 51570, 56038, 51762, 51647, 55971, 51762, 50796, 51039, 78651, 52725, 50685, 50319, 50987, 73467, 51108, 50455, 67620, 74373, 67620, 50827, 52177, 67620, 50904, 73467, 65173, 67620, 50971, 73467, 78555, 67620, 50941, 73467, 53998, 62157, 52460, 50685, 50322, 52034, 50447, 52419, 51157, 56887, 50991, 53359, 51124, 60269, 75748, 50799, 50685, 50319, 50978, 50415, 73467, 51534, 50419, 67620, 64999, 73467, 51123, 50425, 67620, 60137, 67620, 50941, 51762, 50430, 73467, 55270, 73467, 50904, 67620, 51126, 50439, 67620, 74787, 73467, 71583, 62157, 51642, 50685, 50322, 51423, 50455, 58578, 64735, 52419, 51160, 60269, 51187, 58077, 56887, 50991, 53359, 51124, 59744, 50932, 69341, 58578, 51481, 50441, 67620, 51283, 51762, 50446, 50685, 50329, 70347, 50685, 50319, 50972, 50461, 50685, 50328, 51797, 52478, 50685, 50319, 51432, 51510, 59094, 62157, 52518, 50428, 50685, 50327, 51254, 50433, 62157, 58087, 50685, 50317, 51852, 50685, 50325, 51172, 60269, 50370, 52418, 58431, 50804, 50370, 52418, 60794, 51273, 50937, 52003, 50974, 53795, 51074, 50685, 50322, 64064, 50371, 52418, 53545, 51560, 51178, 60269, 69330, 57109, 55407, 51363, 52647, 51203, 73467, 51797, 54124, 64676, 56904, 62157, 52168, 51601, 51493, 52311, 56805, 51452, 52126, 51358, 50685, 50324, 52015, 50804, 59765, 52432, 52095, 52082, 59765, 57550, 51289, 59765, 54013, 53281, 65337, 51289, 59765, 53593, 52796, 50924, 52095, 52082, 59765, 59797, 52095, 52082, 59765, 52210, 52898, 51933, 50445, 52095, 52082, 59765, 52396, 52419, 51226, 56887, 51175, 53026, 58077, 51816, 60863, 53973, 51365, 50799, 62179, 51470, 50416, 58599, 60123, 51705, 51294, 56208, 58516, 53359, 50837, 58578, 50978, 50428, 53234, 50924, 52627, 51194, 54282, 54956, 58578, 74521, 51493, 51351, 53026, 56565, 52577, 50978, 50439, 52627, 51051, 50442, 52577, 51022, 50445, 52627, 74955, 53359, 54914, 52318, 51362, 56208, 58321, 52577, 59038, 52627, 62785, 52577, 51524, 50455, 52627, 51319, 50457, 50801, 57461, 51816, 57467, 53795, 50891, 54079, 51204, 54282, 51048, 52930, 51411, 52092, 51534, 53026, 55376, 54096, 50879, 50424, 54096, 50879, 50425, 51816, 54317, 53795, 58832, 51668, 51226, 52930, 52188, 51959, 51203, 52577, 51411, 52867, 53543, 51187, 55698, 52867, 50879, 50440, 51816, 50907, 53795, 59457, 54575, 55489, 51216, 51204, 52577, 51109, 52930, 51484, 51959, 51203, 52898, 51364, 53026, 57583, 53795, 50839, 51816, 58247, 51705, 51241, 52930, 51043, 52092, 50977, 54282, 51158, 52796, 51215, 56208, 50820, 52591, 53603, 73888, 52092, 50827, 52930, 51748, 53234, 50865, 53359, 58659, 53281, 50924, 50425, 53973, 51703, 50426, 52419, 51204, 52577, 51524, 62179, 52263, 53026, 55477, 58599, 52598, 50429, 58578, 52598, 50430, 52627, 51022, 50433, 52577, 59037, 52627, 51022, 53256, 51896, 50438, 52577, 51524, 50440, 52627, 70546, 51705, 51204, 56208, 58780, 52577, 51365, 50445, 52627, 51022, 50448, 52577, 51524, 50451, 52627, 50984, 62179, 51123, 50452, 58599, 61096, 52577, 51862, 58578, 55293, 51493, 51141, 53026, 57620, 52627, 52059, 50461, 52577, 53106, 51809, 56805, 51524, 50419, 51816, 51022, 53359, 53868, 52318, 51204, 52930, 51255, 52092, 51255, 54282, 51112, 56208, 56748, 53359, 50829, 51816, 66699, 58414, 51959, 56180, 52419, 51204, 53973, 52147, 62179, 52263, 53026, 55698, 58599, 52263, 50441, 53464, 50827, 58578, 52407, 50443, 52577, 62565, 53234, 51306, 53464, 66823, 51816, 72145, 52126, 59835, 51705, 51362, 56208, 57208, 51816, 51148, 52003, 51255, 51601, 53359, 50891, 62179, 51123, 50416, 52114, 52179, 58599, 50971, 58578, 55869, 51493, 51204, 53026, 57404, 53643, 51095, 50430, 53281, 50952, 50431, 52126, 65867, 52659, 50933, 52775, 50917, 52796, 53543, 51187, 58316, 51816, 50982, 50440, 51461, 50933, 52126, 70532, 53359, 51128, 50443, 54575, 54811, 52126, 51965, 50445, 52318, 50806, 55009, 50808, 51816, 51452, 53795, 50822, 52775, 50825, 52898, 51933, 50448, 52114, 56508, 51273, 50914, 53026, 58077, 54224, 71206, 53359, 50904, 53795, 50891, 56083, 50912, 51601, 58599, 51051, 50417, 51668, 51141, 52775, 50914, 52003, 51178, 58578, 51008, 56208, 55477, 53795, 68564, 53359, 56552, 58578, 52783, 50432, 51216, 51016, 51816, 51412, 53026, 56748, 52114, 51177, 52126, 51177, 50442, 53795, 53401, 51705, 51204, 56208, 58321, 52003, 51058, 50451, 52647, 57168, 52126, 56974, 51816, 51637, 50457, 51959, 72602, 57498, 52126, 51108, 52867, 50887, 54079, 51204, 54096, 51215, 53026, 59094, 53795, 50846, 54096, 51158, 50429, 51668, 51362, 52126, 51411, 51959, 51534, 51816, 51400, 52867, 54593, 51187, 52600, 52867, 51158, 50439, 53897, 50840, 53795, 50910, 52003, 51178, 50443, 52898, 51364, 50444, 51216, 51221, 53026, 55685, 51816, 51806, 50448, 52647, 58145, 52003, 51174, 52126, 70738, 52114, 74507, 51216, 50873, 50455, 53359, 55397, 51705, 50912, 56805, 51123, 51816, 51328, 52003, 51277, 52796, 51238, 56208, 50820, 51809, 51493, 50907, 50419, 53603, 55777, 52114, 50835, 53359, 50971, 52126, 51212, 51816, 51337, 50421, 51273, 50977, 53281, 50879, 50422, 53643, 51051, 50425, 56887, 51101, 53973, 52440, 62179, 52212, 50426, 52419, 51362, 58599, 52407, 53026, 55477, 58578, 52263, 50434, 53256, 51896, 50437, 51771, 63442, 53359, 55788, 51705, 51204, 56208, 54028, 51816, 53140, 51959, 50912, 50452, 53464, 50867, 62179, 51123, 58599, 62375, 58578, 55162, 51493, 51241, 53026, 57620, 51816, 50943, 52930, 51203, 52478, 53359, 50863, 52427, 51419, 50423, 52318, 51091, 52627, 51400, 56208, 56748, 56887, 59597, 56720, 51771, 70448, 52419, 51294, 53973, 52212, 62179, 52263, 53026, 55698, 52609, 50959, 54282, 51480, 58599, 52598, 50440, 58578, 51878, 50441, 51816, 51043, 50449, 53359, 50863, 51771, 79519, 51705, 51226, 52569, 51043, 52609, 51233, 56208, 50820, 51601, 53359, 51283, 51771, 50977, 52577, 51100, 50416, 62179, 51123, 50417, 58599, 50904, 58578, 55772, 51493, 51204, 53026, 56818, 51771, 51365, 50425, 52577, 51123, 50428, 51771, 51365, 50430, 52577, 51365, 50433, 51771, 51738, 50435, 52318, 51204, 53281, 54593, 51187, 58316, 52577, 50866, 53359, 50914, 50440, 53815, 50924, 50445, 53281, 55149, 51493, 51204, 56805, 50879, 52796, 53841, 51187, 60752, 54575, 71478, 52003, 72647, 54575, 51238, 50460, 51771, 50907, 55635, 51333, 50799, 52609, 59240, 51868, 51362, 52577, 51346, 65385, 54344, 56208, 52639, 54575, 51896, 50427, 55635, 52397, 50428, 56805, 51025, 52126, 52441, 50432, 51668, 51141, 65385, 51244, 53026, 56748, 52577, 51159, 50442, 56805, 51400, 55635, 52011, 50447, 51522, 50925, 54282, 50892, 56208, 58321, 52775, 51177, 50452, 51493, 50974, 50457, 51560, 50937, 56805, 50851, 56083, 51884, 50801, 50828, 54079, 51362, 53795, 51692, 58578, 50838, 53026, 59346, 52114, 51481, 56083, 53486, 50423, 58578, 52168, 50429, 51668, 51294, 52003, 51116, 51816, 51255, 54575, 50884, 52898, 51158, 56208, 52600, 52898, 51896, 50439, 52114, 79174, 52003, 50942, 51816, 51377, 50444, 51216, 51241, 53026, 58321, 56083, 54557, 50449, 52647, 74505, 58578, 51679, 50454, 53359, 61688, 52003, 50937, 51816, 51423, 50459, 51705, 51204, 52126, 54839, 75748, 51601, 52114, 50942, 50421, 51816, 51961, 53359, 51400, 53256, 79287, 52892, 71727, 52419, 51226, 56887, 51345, 53026, 53908, 53256, 51896, 50436, 53359, 59138, 51705 ]

[ 0, 250, 765, 6, 20425, 5175, 37903, 11, 163, 538, 6, 4246, 10, 11006, 4122, 12, 1054, 330, 13305, 8, 38668, 483, 6, 19, 10, 15352, 30054, 648, 2933, 16464, 6, 278, 7, 10, 12701, 4450, 20889, 11, 204, 73, 306, 86, 6, 8, 10, 881, 33215, 13931, 9, 2060, 406, 6, 3676, 1176, 406, 6, 274, 10431, 6, 8, 12608, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 63515, 55794, 52115, 57600, 50795, 53009, 50795, 55439, 50795, 67060, 51631, 54427, 51736, 57600, 50795, 53009, 50795, 55439, 50795, 67060, 51646, 54862, 51918, 57600, 50795, 53009, 50795, 55439, 50795, 67060, 50795, 54427, 51798, 54862, 51923, 57600, 50795, 53009, 50795, 55439, 50795, 67060, 50795, 53638, 50807, 52591, 53856, 50795, 53009, 50795, 53652, 50795, 61107, 51631, 53638, 51736, 53856, 50795, 53009, 50795, 53652, 50795, 61107, 53505, 53638, 51724, 53112, 51820, 53856, 50795, 53009, 50795, 53652, 50795, 61107, 50795, 53112, 51757, 53638, 51754, 53856, 50795, 53009, 50795, 53652, 50795, 61107, 50795, 54427, 50795, 50799, 54862, 52115, 55741, 50795, 53388, 50795, 56590, 50795, 58203, 51631, 53714, 51736, 55741, 50795, 53388, 50795, 56590, 50795, 58203, 51646, 53292, 51918, 55741, 50795, 53388, 50795, 56590, 50795, 58203, 50795, 53714, 51798, 53292, 51923, 55741, 50795, 53388, 50795, 56590, 50795, 58203, 50795, 54862, 50795, 52591, 60117, 50795, 53381, 50795, 54106, 50795, 50732, 50276, 50795, 54862, 51631, 53714, 51736, 60117, 50795, 53381, 50795, 54106, 50795, 50732, 50276, 51646, 53292, 51918, 60117, 50795, 53381, 50795, 54106, 50795, 50732, 50276, 50795, 53714, 51798, 53292, 51923, 60117, 50795, 53381, 50795, 54106, 50795, 50732, 50276, 50795, 54862, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15855, 8, 19834, 12, 13028, 15229, 6, 42, 2214, 7630, 6568, 10, 25306, 5466, 19, 63, 11739, 9, 30062, 620, 7085, 12280, 642, 6, 1021, 5901, 1243, 6, 12280, 3275, 1725, 3109, 6, 26432, 636, 3938, 22052, 6, 8, 21979, 9590, 4, 8504, 11, 5, 762, 9, 272, 3694, 8, 1375, 23, 41, 1614, 1073, 1020, 20889, 6, 24, 6670, 10, 19448, 8, 5679, 26709, 13569, 9862, 6, 19, 17878, 9, 15073, 31605, 1328, 4, 20, 2125, 3905, 10, 33215, 16739, 9, 272, 119, 6, 274, 6, 272, 119, 6, 272, 119, 406, 6, 8, 230, 6, 1271, 5581, 7, 63, 43580, 3693, 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 ]

[ 72191, 53039, 57829, 50621, 53000, 70426, 54254, 58486, 50622, 52566, 64600, 50622, 53267, 64174, 50622, 55228, 51189, 52650, 51343, 50421, 50622, 50422, 50622, 50423, 50622, 77718, 50427, 50623, 50428, 50623, 50430, 50623, 50437, 50623, 50438, 54428, 59764, 50622, 53039, 73423, 50622, 53000, 57681, 50622, 54254, 65809, 52566, 62961, 56265, 50983, 53267, 51343, 50444, 50623, 50447, 50623, 50449, 50623, 50450, 50623, 50451, 50623, 61791, 53647, 58487, 50623, 54428, 72083, 50623, 53039, 57705, 53000, 64600, 54254, 63632, 53715, 51364, 52566, 51343, 50421, 50623, 50422, 50623, 50423, 50624, 50425, 50624, 50426, 50622, 50427, 50623, 50428, 50623, 50429, 50623, 50430, 50624, 50431, 50624, 50433, 50624, 50434, 50624, 50435, 50623, 50436, 50622, 50437, 50622, 50438, 58143, 59901, 50622, 53647, 73423, 50622, 54428, 57681, 53039, 66331, 50623, 53000, 62860, 54969, 50895, 54254, 50879, 50449, 52566, 73059, 53267, 50952, 50457, 52650, 66330, 53118, 50836, 50799, 54969, 76330, 53715, 64600, 56265, 58100, 55228, 52432, 56456, 58158, 63950, 60480, 56456, 55893, 55228, 50895, 56265, 64527, 53715, 61953, 54969, 53516, 53118, 61749, 52650, 50895, 53267, 70690, 52566, 54013, 54254, 50884, 53000, 63519, 53039, 50884, 54428, 59185, 53647, 53230, 58143, 50884, 55372, 57398, 57545, 50895, 55372, 60063, 58143, 55486, 53647, 50884, 54428, 63061, 53039, 50884, 53000, 59653, 54254, 53418, 52566, 50884, 53267, 56068, 52650, 50895, 53267, 59797, 52566, 56650, 54254, 50818, 53000, 65809, 53039, 50884, 54428, 62860, 53647, 53806, 58143, 50884, 55372, 63228, 58143, 50884, 53647, 61312, 54428, 55888, 53039, 50818, 53000, 64915, 54254, 50818, 52566, 60374, 53267, 53409, 52650, 50884, 53118, 58418, 52650, 50884, 53267, 61425, 52566, 56883, 54254, 50818, 53000, 61376, 53039, 50884, 54428, 63318, 53647, 52349, 58143, 50884, 53647, 61160, 54428, 50884, 53039, 60427, 53000, 56924, 54254, 50884, 52566, 62519, 53267, 50884, 52650, 60634, 50623, 53118, 50884, 50799, 63950, 58487, 50623, 50416, 56456, 61060, 50623, 50418, 55228, 55180, 56265, 65291, 56456, 57851, 50623, 50424, 55228, 54392, 56265, 65469, 50623, 50428, 53715, 59974, 50623, 50430, 55228, 50886, 52650, 54216, 53715, 50864, 53267, 59890, 50624, 53715, 50867, 52566, 59079, 54969, 50886, 54254, 52444, 50623, 56265, 50867, 53267, 59360, 50623, 50440, 50623, 53715, 50867, 52566, 54790, 50623, 50442, 50622, 54969, 50857, 54254, 55489, 50622, 53118, 50867, 53000, 67356, 50622, 50446, 53715, 50886, 52566, 53401, 50622, 50448, 54969, 50867, 54254, 59248, 50622, 50450, 50622, 53118, 50813, 53000, 66280, 50622, 50452, 50621, 52650, 50855, 53039, 58629, 50620, 50454, 50619, 54969, 50862, 54254, 70332, 50619, 50456, 50619, 53118, 50855, 53000, 69077, 50619, 50458, 52650, 50855, 53039, 59022, 50619, 50460, 53267, 50887, 54428, 64961, 50623, 57128, 53267, 50884, 57441, 50817, 54610, 51527, 52290, 55597, 54102, 55856, 51889, 58197, 50623, 52650, 50895, 56882, 51552, 50416, 53118, 58486, 50623, 54969, 59720, 53715, 50940, 50419, 50623, 50420, 50623, 50432, 58343, 54241, 50623, 50438, 50697, 50280, 50914, 59861, 50914, 57090, 51054, 57853, 51527, 57644, 52406, 50606, 58909, 57016, 54653, 57644, 57904, 57016, 54385, 60552, 50824, 56220, 50974, 50799, 53267, 50884, 56882, 50993, 54610, 51460, 51889, 58197, 52650, 70426, 53118, 58486, 54969, 59720, 53715, 73427, 58591, 54631, 58343, 52030, 57441, 52125, 50697, 50280, 50914, 59861, 50914, 57441, 50817, 57853, 50894, 58563, 52346, 50606, 68749, 56882, 51527, 50441, 62012, 54478, 58563, 55876, 57020, 53140, 56220, 50892, 50799, 53267, 50884, 58343, 50993, 59168, 50894, 52037, 53678, 53755, 53678, 51889, 74652, 52650, 70426, 53118, 58486, 54969, 58100, 56265, 50940, 50424, 58343, 53939, 58343, 54684, 58343, 55276, 50697, 50278, 50914, 62796, 50914, 57090, 50923, 57853, 50894, 57020, 52406, 50606, 58909, 56220, 54478, 58771, 50806, 57020, 55876, 56220, 54004, 57090, 50802, 57644, 54771, 60552, 50879, 50799, 53267, 50884, 57441, 50817, 54610, 50894, 52290, 53678, 54102, 53678, 51889, 68621, 52650, 50895, 56882, 53174, 50416, 53118, 58486, 54969, 59720, 53715, 58216, 52205, 52309, 52342, 52322, 50697, 50280, 50914, 59861, 50914, 52895, 50806, 57853, 50894, 58563, 52406, 50606, 58909, 62012, 54653, 52342, 50806, 58563, 55118, 57020, 53140, 57090, 51016, 52044, 51016, 56220, 50845, 50799, 52566, 50895, 58771, 51274, 51975, 50918, 59168, 50894, 51567, 60130, 52037, 52988, 51889, 58197, 53267, 72083, 52650, 58486, 53118, 59720, 53715, 57748, 57090, 52125, 50697, 50280, 50914, 59861, 50914, 60552, 50993, 55908, 50894, 62012, 53597, 50606, 53609, 68512, 53743, 62012, 55590, 58563, 53639, 60552, 50824, 57020, 50844, 50799, 52566, 50884, 56882, 50802, 54610, 50894, 52290, 52988, 51889, 74652, 52890, 70426, 52650, 58486, 53118, 59720, 53715, 61955, 58252, 57078, 57090, 56087, 58771, 56810, 50697, 50280, 50914, 59861, 50914, 63104, 51552, 57853, 50894, 58563, 78830, 53609, 55871, 54207, 58563, 54803, 55871, 52843, 62012, 54424, 57090, 50802, 50799, 53267, 50884, 58771, 50993, 59168, 50894, 52037, 53678, 51889, 74652, 52650, 70426, 53118, 58486, 54969, 58100, 56265, 50940, 50424, 58771, 54392, 58771, 52309, 65621, 56810, 50697, 50278, 50914, 62796, 50914, 63104, 50802, 78638, 50894, 64884, 50894, 68512, 52406, 50606, 58909, 62012, 53103, 58771, 50802, 68512, 54803, 62012, 53639, 60231, 50993, 58563, 50812, 50799, 53267, 50884, 60231, 50949, 64884, 50894, 52290, 53678, 54102, 55275, 51889, 58197, 52650, 50895, 58202, 52500, 50416, 53118, 58486, 54969, 59720, 53715, 58216, 66262, 52309, 50657, 50336, 58685, 66262, 54993, 50697, 50280, 50914, 59861, 50914, 58683, 50849, 58563, 52346, 50606, 53609, 57020, 54207, 66262, 50893, 58563, 56888, 57020, 52848, 60914, 51111, 56220, 52757, 50606, 54712, 54066, 51192, 50799, 53267, 50884, 54610, 51013, 52190, 78832, 56025, 52650, 50895, 53382, 50818, 53691, 76971, 53118, 50884, 51975, 50937, 53382, 56933, 54969, 50818, 53382, 59740, 53715, 50940, 53382, 63244, 53382, 60683, 53382, 60170, 53382, 54579, 53382, 58423, 53382, 61396, 53382, 53150, 53410, 74425, 53745, 50606, 68315, 53382, 51736, 60914, 50806, 53410, 50800, 52876, 55295, 52877, 50697, 50280, 50914, 59861, 50914, 52205, 50896, 54610, 51016, 52078, 51145, 52190, 54721, 53640, 50896, 53410, 50854, 52876, 53104, 50606, 50894, 50799, 53267, 50884, 53382, 50980, 54610, 51016, 52190, 67434, 56025, 52650, 50895, 53691, 51675, 50416, 53118, 58486, 54969, 59720, 53715, 50940, 50424, 58683, 52422, 60914, 50806, 53410, 74425, 55295, 52686, 54066, 50806, 53410, 50800, 52876, 53104, 50606, 54362, 50697, 50280, 50914, 59861, 50914, 60914, 50846, 54610, 51274, 52190, 66905, 54066, 62078, 53382, 50828, 53382, 56442, 53382, 63954, 53382, 62859, 53382, 54465, 53382, 50840, 52078, 72143, 53382, 55761, 53382, 59787, 53382, 59248, 53382, 55268, 53382, 51073, 53410, 74425, 53745, 50606, 67979, 56864, 64751, 53382, 67523, 55616, 50795, 50799, 53267, 50884, 60914, 51215, 59168, 50889, 53691, 66468, 50869, 50612, 56025, 52650, 70426, 53118, 50884, 53691, 57705, 54969, 50818, 53691, 63222, 56265, 50940, 53691, 53223, 53691, 57987, 53691, 56818, 53691, 54069, 53691, 61159, 60914, 50809, 53691, 59824, 53691, 52905, 60914, 50910 ]

[ 0, 250, 33928, 8, 15352, 30054, 3152, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 2382, 3459, 29589, 6, 13305, 6, 3459, 9590, 6, 8, 2724, 368, 31365, 25999, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 6, 24, 3905, 10, 33215, 16739, 9, 274, 6, 230, 6, 272, 6, 8, 230, 4, 20, 17627, 17274, 8859, 7630, 6568, 6453, 9, 657, 6, 10563, 6, 8, 7125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 73343, 52674, 50871, 70736, 50877, 55380, 50871, 59981, 50877, 66054, 50876, 69502, 50877, 57239, 60832, 54662, 50824, 51186, 50824, 52447, 50824, 53628, 51732, 52228, 51732, 55329, 69795, 51059, 51065, 70623, 50876, 55267, 52919, 50417, 51028, 60208, 51065, 63315, 59257, 50421, 57209, 77267, 53744, 50902, 60517, 50931, 52968, 59257, 50997, 50803, 54393, 50823, 51436, 52865, 58840, 63567, 50931, 54935, 50902, 58459, 50931, 60404, 52417, 50902, 59009, 57209, 50434, 51120, 50823, 51271, 50823, 51482, 60499, 54350, 50902, 58212, 57209, 50437, 50902, 52952, 51050, 50823, 51720, 50823, 51425, 52466, 51059, 51065, 62293, 57209, 50440, 59257, 50442, 50931, 60404, 60964, 50902, 52940, 50931, 51300, 50446, 51050, 70105, 50811, 51720, 50823, 51425, 77365, 59433, 50902, 63399, 51360, 50823, 52022, 50823, 52899, 52865, 58840, 58261, 51120, 78537, 50823, 51482, 60499, 56399, 51050, 50823, 51720, 50823, 51425, 60499, 50820, 54662, 51059, 51186, 50824, 52447, 52299, 51059, 51065, 61158, 51065, 56554, 51065, 52639, 50997, 50803, 58110, 58121, 54393, 50823, 51436, 52865, 58840, 58528, 51065, 56565, 51120, 67353, 50823, 69593, 51271, 50823, 51482, 60499, 52600, 51050, 50823, 51720, 50823, 51425, 52466, 58840, 62293, 50876, 59650, 51065, 58780, 50931, 50976, 50902, 63999, 51050, 58676, 50811, 51720, 50823, 51425, 77365, 52800, 51360, 50823, 50931, 50824, 52022, 50823, 52899, 52865, 58840, 55223, 50965, 58268, 51120, 75299, 51271, 50823, 51482, 57235, 57185, 51050, 71236, 51720, 50823, 51425, 57235, 50813, 54734, 60297, 50975, 51720, 50824, 51425, 50824, 53880, 51184, 52394, 51184, 54833, 58583, 58840, 70623, 50877, 50976, 67595, 50418, 51065, 56818, 51065, 52639, 51050, 50803, 51720, 50823, 51262, 51779, 51059, 51065, 58528, 51065, 56585, 51279, 50823, 51011, 50823, 51265, 60499, 52600, 51085, 74082, 50823, 51223, 52466, 51059, 51065, 60672, 51065, 58171, 51085, 50823, 51133, 50823, 51223, 77365, 52800, 51503, 50823, 51325, 50823, 52007, 52865, 57235, 58261, 51279, 75159, 50823, 51265, 57235, 57185, 51085, 50823, 51133, 50823, 51223, 60499, 50820, 54852, 50823, 51247, 50976, 50900, 60246, 50823, 71101, 51425, 51599, 61512, 60404, 52639, 51616, 51012, 51061, 63982, 51282, 51012, 51023, 59164, 51118, 51012, 51092, 51012, 54662, 61572, 59237, 79482, 51186, 50824, 52447, 50824, 51061, 51045, 51530, 51045, 53628, 51732, 52228, 51732, 55329, 51732, 51206, 55530, 58840, 61158, 51234, 67587, 61840, 50811, 67764, 51083, 54055, 51185, 54055, 51065, 56554, 51234, 67587, 61840, 50811, 50906, 60404, 52524, 51234, 61572, 59237, 79482, 54393, 50823, 51436, 52865, 58840, 58528, 51234, 67587, 61840, 70621, 60404, 56565, 51234, 67587, 61840, 50803, 67764, 51271, 50823, 51482, 60499, 52781, 51234, 61572, 61840, 50803, 67764, 51720, 50823, 51425, 52466, 58840, 60672, 51234, 67587, 61840, 70621, 60404, 58171, 51234, 61572, 61840, 79482, 51720, 50823, 51425, 60499, 52800, 51234, 61572, 59237, 79482, 52022, 50823, 52899, 51779, 58840, 58261, 51234, 67587, 61840, 50811, 67764, 51271, 50823, 51482, 57235, 57185, 51234, 61572, 61840, 50803, 67764, 51720, 50823, 51425, 60499, 50813, 54662, 61572, 59237, 79482, 51186, 50824, 52447, 52299, 51059, 51065, 61158, 51234, 67587, 61840, 50811, 50906, 60404, 56554, 51234, 61572, 61840, 70621, 60404, 52524, 51234, 61572, 59237, 79482, 54393, 50823, 51436, 79597, 51237, 51185, 60005, 58840, 58528, 51234, 67587, 61840, 70621, 60404, 56585, 51234, 61572, 61840, 50803, 67764, 51271, 50823, 51482, 60499, 52781, 51234, 61572, 59237, 79482, 51720, 50823, 51425, 50860, 51557, 51483, 51193, 72223, 58840, 60672, 51234, 61572, 61840, 70621, 57235, 55685, 51234, 67587, 61840, 79482, 51720, 50823, 51425, 50823, 51616, 51483, 51061, 51483, 51065, 52725, 51234, 61572, 59237, 50803, 67764, 52022, 50823, 52899, 52865, 58840, 58261, 51234, 67587, 61840, 50811, 67764, 51271, 50823, 51482, 79597, 51483, 51185, 51483, 51065, 57185, 51234, 67587, 50817, 50871, 50811, 67764, 51720, 50823, 51425, 57235, 50813, 54734, 59237, 50803, 58336, 56245, 64320, 51425, 50824, 51118, 52379, 51092, 52379, 53880, 51732, 52394, 51732, 54833, 69795, 51059, 51065, 61158, 51247, 61840, 50811, 58336, 50876, 57235, 56554, 51247, 59237, 50811, 58336, 50876, 57235, 52524, 51247, 59237, 50811, 58336, 60832, 51720, 50823, 51262, 51779, 58840, 58528, 51247, 59237, 50811, 58336, 50876, 60404, 56585, 51247, 59237, 50811, 58336, 60832, 51011, 50823, 51265, 60499, 52781, 51247, 59237, 50811, 58336, 60832, 51133, 50823, 51223, 53236, 51059, 51065, 60672, 51247, 61840, 75299, 50876, 60404, 55685, 51247, 59237, 50811, 58336, 60832, 51133, 50823, 51223, 60499, 52725, 51247, 59237, 50811, 58336, 56245, 51325, 50823, 52007, 51779, 58840, 58261, 51247, 59237, 50811, 58336, 60832, 51011, 50823, 51265, 57235, 56399, 51247, 59237, 50803, 58336, 56245, 51133, 50823, 51223, 60499, 50813, 54734, 59237, 50811, 58336, 56245, 64320, 51425, 52299, 58840, 61158, 51247, 61840, 50811, 58336, 50876, 57235, 56554, 51247, 61840, 50803, 58336, 50876, 57235, 52524, 51247, 59237, 50803, 58336, 56245, 51720, 50823, 78702, 51282, 51237, 51023, 60005, 58840, 58528, 51247, 61840, 50811, 58336, 50876, 60404, 56565, 51247, 59237, 50803, 58336, 56245, 51011, 50823, 51265, 77365, 52600, 51247, 59237, 50811, 58336, 60832, 51133, 50823, 51223, 50823, 51616, 51483, 51061, 72223, 51059, 51065, 60672, 51247, 61840, 50811, 58336, 50876, 60404, 58171, 51247, 61840, 50811, 58336, 60832, 51133, 50823, 51223, 50860, 52047, 51483, 51118, 51483, 51065, 52725, 51247, 61840, 75299, 60832, 51325, 50823, 52007, 53451, 58840, 58261, 51247, 61840, 75299, 60832, 51011, 50823, 51265, 50811, 51282, 51483, 51023, 51483, 51065, 57185, 51247, 59237, 75299, 60832, 51133, 50823, 51223, 60499, 50813, 53997, 58891, 72139, 56245, 70259, 51915, 50824, 51401, 52379, 51020, 52379, 52394, 51732, 52491, 51732, 55297, 69795, 58840, 61158, 51085, 66545, 72139, 50876, 60404, 56554, 51085, 58891, 72139, 50876, 60404, 52524, 51085, 58891, 50811, 58161, 60832, 51133, 50823, 51223, 52865, 58840, 58528, 51085, 58891, 71294, 50876, 57235, 56585, 51085, 58891, 71294, 56245, 70702, 51726, 60499, 52781, 51085, 58891, 71294, 56245, 66436, 51368, 53236, 51059, 51065, 60672, 51085, 66545, 72139, 50876, 60404, 55685, 51085, 58891, 50803, 60373, 56245, 66436, 51368, 77365, 52800, 51085, 58891, 71294, 56245, 66490, 52191, 51779, 58840, 58261, 51085, 66545, 72139, 60832, 70702, 51726, 57235, 57185, 51085, 58891, 72139, 56245, 66436, 51368, 60499, 50820, 53997, 66545, 50811, 58161, 56245, 70259, 51915, 52299, 58840, 61158, 51085, 66545, 50811, 58161, 50876, 57235, 56818, 51085, 66545, 72139, 50876, 60404, 52639, 51085, 58891, 50811, 58161, 60832, 51133, 50823, 51223, 50823, 51083, 51483, 51185, 74050, 58840, 56839, 51085, 66545, 72139, 50876, 60404, 56565, 51085, 66545, 71294, 56245, 70702, 51726, 50860, 51083, 51237, 51185, 51237, 51065, 52781, 51085, 58891, 71294, 56245, 66436, 51368, 53236, 58840, 60672, 51085, 66545, 72139, 50876, 60404, 55685, 51085, 66545, 72139, 60832, 66436, 51368, 50860, 51118, 51045, 51092, 51045, 51065, 52725, 51085, 66545, 72139, 60832, 66490, 52191, 50823, 51083, 51483, 51185, 74050, 58840, 57208, 51085, 66545, 72139, 60832, 70702, 51726 ]

[ 0, 250, 182, 251, 15855, 2125, 14, 115, 28, 341, 25, 10, 19834, 13, 41, 9066, 822, 4, 85, 1575, 10, 2342, 4467, 816, 5, 483, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 17691, 28430, 6, 326, 5638, 18026, 6, 8, 9590, 3863, 4, 20, 930, 16, 455, 9, 814, 8, 4149, 6, 1311, 10, 1472, 9, 9733, 4, 85, 16, 278, 11, 211, 3694, 8, 34, 10, 182, 1769, 20889, 9, 1878, 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 ]

[ 50799, 50643, 50796, 63535, 52167, 51384, 54088, 50418, 51488, 52167, 51905, 54088, 50422, 51107, 52167, 51384, 54088, 50426, 51395, 52167, 51811, 54088, 50430, 51107, 52167, 51384, 54088, 50434, 51488, 52167, 51905, 54088, 50438, 51107, 52167, 51384, 54088, 50442, 51488, 52167, 51905, 54088, 50446, 51107, 52167, 51384, 54088, 50450, 51395, 52167, 51811, 54088, 50454, 51107, 52167, 51384, 54088, 50458, 51488, 52167, 51905, 54088, 63535, 52167, 51384, 54088, 50418, 51488, 52167, 51905, 54088, 50422, 51107, 52167, 51384, 54088, 50426, 51395, 52167, 51811, 54088, 50430, 51107, 52167, 51384, 54088, 50434, 51488, 52167, 51905, 54088, 50438, 51107, 52167, 51384, 54088, 50442, 51488, 52167, 51905, 54088, 50446, 51107, 52167, 51384, 54088, 50450, 51395, 52167, 51811, 54088, 50454, 51107, 52167, 51384, 54088, 50458, 51488, 52167, 51905, 54088, 63535, 54088, 51384, 54088, 51251, 51824, 52371, 53024, 52371, 53024, 51886, 51748, 52494, 51449, 50418, 51488, 52946, 51905, 52946, 50422, 51107, 52167, 51384, 52167, 50426, 51794, 51142, 51395, 52167, 51811, 52167, 53599, 51376, 53599, 51376, 50430, 51107, 52179, 51384, 52179, 50434, 51488, 52179, 51905, 52179, 50438, 51426, 51008, 51107, 51862, 51384, 51862, 52481, 51074, 52481, 51074, 50442, 51488, 51524, 51905, 51524, 50446, 51107, 51524, 51384, 76267, 51794, 50878, 51395, 51365, 51811, 51365, 53599, 51753, 53599, 51753, 50454, 51107, 51210, 51384, 74981, 51488, 51210, 51905, 51210, 67378, 50897, 51107, 51142, 51384, 51142, 52371, 50892, 52371, 73826, 52494, 52069, 50416, 51886, 52069, 50418, 51488, 51142, 51905, 51142, 50422, 51107, 51051, 51384, 59386, 51395, 50933, 51811, 50933, 53599, 50866, 53599, 50866, 51794, 50938, 50430, 51107, 50933, 51384, 62727, 51488, 51008, 51905, 59983, 52481, 50830, 52481, 50830, 51107, 50959, 51384, 50959, 51426, 50938, 50442, 51488, 50959, 51905, 63251, 51107, 50955, 51384, 58238, 51395, 50955, 51811, 50955, 53599, 50917, 53599, 50917, 51794, 50924, 50454, 51107, 50878, 51384, 61997, 51488, 50942, 51905, 50942, 63535, 50854, 51384, 50854, 52371, 50893, 52371, 50893, 51251, 53280, 51886, 54532, 56200, 54532, 53767, 54532, 53013, 51183, 51485, 52122, 53954, 52250, 52351, 78666, 51900, 51077, 52351, 57226, 51488, 50854, 51905, 50854, 52351, 64040, 52351, 53405, 51107, 50854, 51384, 50854, 52351, 58409, 52351, 54951, 51488, 50854, 51905, 50854, 52351, 63026, 52351, 52872, 51107, 50854, 51384, 50854, 53599, 50873, 53599, 50873, 52351, 66518, 52351, 56609, 51488, 50854, 51905, 50854, 52351, 61193, 52351, 53196, 51107, 50854, 51384, 50854, 52351, 58039, 51426, 50834, 52480, 51008, 60059, 51008, 55132, 51008, 52173, 50959, 52351, 54950, 51154, 50846, 51488, 50854, 51905, 50854, 52171, 50878, 64975, 50878, 56988, 50878, 51802, 50822, 52351, 57892, 51088, 50828, 52367, 50854, 67824, 50854, 63071, 50854, 51950, 50955, 52351, 52904, 51107, 50854, 51384, 50854, 52371, 50805, 52371, 50805, 51375, 51189, 54051, 51413, 50724, 50348, 51413, 50719, 50336, 51413, 55826, 51003, 52933, 51218, 52351, 73052, 52351, 56432, 51488, 50854, 51905, 50854, 52351, 65672, 52351, 53594, 51107, 50854, 51384, 50854, 52351, 59265, 52351, 54914, 51488, 50854, 51905, 50854, 52351, 57855, 52351, 53003, 51107, 50854, 51384, 50854, 53599, 50805, 53599, 50805, 52351, 70738, 52351, 56782, 51488, 50854, 51905, 50854, 52351, 60570, 52351, 53555, 51107, 50854, 51384, 50854, 52351, 57950, 51088, 50891, 52367, 50912, 67824, 50912, 63071, 50912, 51950, 50822, 52351, 55053, 51154, 50870, 51488, 50854, 51905, 50854, 52171, 50907, 64975, 50907, 56988, 50907, 51802, 50987, 52351, 57243, 51426, 51258, 52480, 51008, 60059, 51008, 55132, 51008, 52173, 50955, 52351, 50863, 63535, 50800, 64672, 52371, 50893, 52371, 50893, 51251, 53577, 51886, 51878, 56200, 51878, 53767, 51878, 53013, 51562, 51900, 51115, 52351, 78666, 52351, 56231, 51488, 50833, 51905, 50833, 52351, 64040, 52351, 53738, 67247, 64672, 52351, 58409, 52351, 53991, 51488, 50812, 51905, 50812, 52351, 63026, 52351, 52872, 67247, 64672, 53599, 50873, 53599, 50873, 52351, 65368, 52351, 57265, 51488, 50800, 51905, 50800, 52351, 62169, 52351, 53196, 75352, 51384, 50858, 52351, 58039, 51301, 50839, 52433, 50987, 63668, 50987, 56940, 50987, 52351, 54483, 51154, 50846, 51488, 50859, 51905, 50859, 52171, 50978, 64975, 50978, 56988, 50978, 51802, 50959, 52351, 57892, 51088, 50846, 52367, 50925, 67824, 50925, 63071, 50925, 51950, 50955, 52351, 53018, 75352, 51384, 50858, 52371, 50879, 52371, 50879, 51113, 50983, 53297, 51291, 78097, 51291, 50719, 50337, 51291, 54668, 50807, 52515, 50915, 52351, 69864, 52351, 56432, 51488, 50800, 51905, 50800, 52351, 65672, 52351, 53325, 75352, 51384, 50858, 52351, 57785, 52351, 54673, 51488, 50800, 51905, 50800, 52351, 57989, 52351, 52805, 75352, 51384, 50858, 53599, 51121, 53599, 51121, 52351, 70738, 52351, 56597, 51488, 50859, 51905, 50859, 52351, 61733, 52351, 53555, 76614, 51384, 50821, 52351, 61010, 51088, 50829, 52367, 50987, 67824, 50987, 63071, 50987, 52351, 55397, 51154, 50928, 51488, 50800, 51905, 50800, 52171, 50959, 64975, 50959, 56988, 50959, 52351, 57243, 51426, 51004, 52433, 50959, 63668, 50959, 56940, 50959, 52351, 50870, 63535, 54088, 51384, 54088, 51251, 51376, 52371, 51074, 52371, 51074, 51886, 55068, 56200, 51283, 53767, 52121, 52351, 50932, 50418, 51488, 52946, 51905, 52946, 50422, 51107, 52167, 51384, 52167, 50426, 51794, 51210, 51395, 52167, 51811, 52167, 53599, 51884, 53599, 51884, 50430, 51107, 52179, 51384, 52179, 50434, 51488, 52179, 51905, 52179, 50438, 51107, 51862, 51384, 51862, 52481, 51376, 52481, 51376, 51426, 50866, 50442, 51488, 51524, 51905, 51524, 50446, 51107, 51524, 51384, 76267, 51395, 51365, 51811, 51365, 51794, 50938, 53599, 50892, 53599, 50892, 50454, 51107, 51210, 51384, 74981, 51488, 51210, 51905, 51210, 63535, 51142, 51384, 51142, 51251, 50865, 52371, 50849, 52371, 50849, 50418, 51488, 51142, 51905, 51142, 50422, 51107, 51051, 51384, 59386, 51395, 50933, 51811, 50933, 51794, 50936, 53599, 50879, 53599, 50879, 50430, 51107, 50933, 51384, 62727, 51488, 51008, 51905, 59983, 51107, 50959, 51384, 50959, 51426, 50938, 52481, 50879, 52481, 50879, 50442, 51488, 50959, 51905, 63251, 51107, 50955, 51384, 58238, 51395, 50955, 51811, 50955, 53599, 50795, 53599, 79819, 50911, 50454, 51107, 50878, 51384, 61997, 51488, 50942, 51905, 50942, 63535, 50808, 51384, 50808, 52371, 51192, 52371, 51192, 51251, 55812, 51886, 51448, 56200, 51448, 53767, 51448, 53013, 51047, 51485, 52122, 53954, 52250, 52351, 50891, 50416, 51900, 51218, 52351, 61252, 51488, 50812, 51905, 50812, 52351, 62503, 52351, 53405, 51107, 50859, 51384, 50859, 52351, 58115, 52351, 53899, 51488, 50833, 51905, 50833, 52351, 58964, 52351, 52670, 67247, 64672, 53599, 50805, 53599, 50805, 52351, 66518, 52351, 55028, 51488, 50808, 51905, 50808, 52351, 59277, 52351, 52767, 51426, 50863, 67247, 64672, 52480, 51008, 60059, 51008, 55132, 51008, 52173, 50905, 52351, 58039, 51154, 50834, 52171, 50878, 64975, 50878, 56988, 50878, 51802, 50977, 52351, 53439, 51088, 50828, 51488, 50833, 51905, 50833, 52367, 50844, 67824, 50844, 63071, 50844, 51950, 50925, 52351, 57514, 51113, 50818, 54051, 50874, 50724, 50348, 50874, 50719, 50336, 50874, 52515, 50822, 52351 ]

[ 0, 250, 182, 1769, 12, 20764, 15855, 8, 5175, 24904, 6, 42, 765, 2214, 7630, 6568, 10, 12298, 6, 28339, 4780, 4, 20, 6755, 12547, 6, 15679, 642, 1543, 6, 13305, 6, 6168, 3540, 6, 8, 7213, 19258, 6648, 337, 35810, 561, 10, 5797, 990, 1506, 9, 32076, 34879, 11, 272, 538, 6, 19, 10, 2842, 9, 25306, 2821, 16235, 4, 20, 204, 73, 306, 86, 6543, 4719, 5, 2125, 16335, 25, 24, 25780, 149, 5, 272, 119, 1176, 406, 6, 272, 401, 6, 15312, 757, 6, 8, 1918, 40286, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50642, 51098, 50936, 51866, 55531, 63267, 72325, 51926, 50385, 60084, 62588, 72325, 51926, 50385, 60084, 62941, 51182, 50821, 51926, 52180, 50614, 62256, 52819, 54459, 51357, 51167, 51182, 50821, 51926, 50821, 52065, 50896, 51150, 50936, 50443, 65182, 51357, 79485, 50385, 60084, 54989, 63803, 51284, 50821, 52487, 50821, 51947, 50821, 53084, 50821, 51866, 50821, 52384, 54332, 63500, 52819, 54411, 51883, 50896, 72325, 51926, 50880, 51113, 50896, 51113, 50896, 51098, 51167, 50453, 70054, 51733, 64985, 51299, 52180, 50614, 54647, 63803, 71315, 51304, 50880, 52148, 50821, 51866, 50821, 51947, 50880, 52384, 54332, 63604, 51299, 50896, 51093, 51160, 52819, 50880, 63535, 50880, 51384, 50880, 51299, 50896, 51093, 51167, 51389, 50936, 50419, 51113, 50821, 51154, 68896, 50821, 51251, 52180, 50614, 54658, 51266, 50821, 51733, 50821, 51702, 50880, 52148, 50821, 52194, 50821, 52058, 54332, 68057, 52819, 53939, 51098, 51160, 50427, 75114, 51384, 50880, 51357, 51192, 52065, 51055, 50430, 51093, 50883, 51304, 60759, 51357, 50880, 66441, 65182, 51251, 50385, 60084, 54053, 51866, 50821, 53084, 50821, 52058, 50880, 51702, 54332, 67631, 68074, 51284, 62256, 52819, 54459, 52065, 50896, 51357, 50883, 51088, 51167, 51182, 51685, 51150, 50921, 50439, 51357, 58692, 69952, 51285, 75899, 50440, 52065, 51055, 50443, 51357, 50821, 65182, 51299, 50880, 51301, 50385, 60084, 54989, 51866, 50821, 53084, 50921, 51947, 54332, 70378, 52384, 63154, 52819, 54411, 51098, 51160, 50451, 51883, 50896, 51113, 51167, 50877, 50980, 50455, 51113, 79485, 52180, 50614, 54647, 51301, 50821, 65182, 52148, 50921, 51866, 50821, 51947, 50880, 52384, 54332, 63604, 51299, 50896, 51093, 51160, 52819, 50880, 57739, 51389, 50959, 50899, 51314, 50877, 52378, 72420, 50415, 51093, 51328, 51299, 51380, 50419, 51113, 55095, 50614, 62910, 51154, 50904, 51093, 50822, 51251, 50867, 51088, 50930, 51182, 50930, 51702, 50874, 52148, 50822, 52194, 50844, 52058, 55619, 57079, 68074, 51284, 62588, 52065, 52011, 51357, 60789, 50614, 56323, 51357, 50811, 51558, 50811, 51357, 50971, 52065, 52188, 51098, 51484, 50871, 51380, 50973, 52056, 50861, 51380, 50429, 71315, 51304, 62941, 51357, 50851, 51154, 50827, 51088, 50867, 51251, 50375, 60084, 60838, 51107, 50890, 51384, 50890, 51866, 50844, 53084, 50827, 52058, 50857, 51702, 53887, 59037, 70054, 51733, 62256, 52819, 55666, 52065, 51806, 51357, 51806, 51182, 50890, 51926, 50890, 52065, 51380, 51357, 51709, 51150, 50959, 50443, 51284, 50858, 52487, 53745, 50614, 56069, 51088, 50886, 51299, 50886, 51301, 50941, 51866, 50854, 51947, 50867, 53084, 50851, 52384, 54597, 50984, 50449, 51883, 51108, 51113, 51484, 52819, 55256, 51182, 50962, 51926, 50962, 51098, 51043, 50453, 51266, 51010, 51733, 51010, 50455, 69651, 51107, 50811, 51384, 50926, 50614, 55835, 52148, 50874, 51947, 50835, 51866, 50862, 52384, 54528, 50984, 50458, 51093, 50894, 51304, 73361, 51107, 50882, 51384, 50882, 51299, 51097, 51093, 51097, 52819, 51000, 56950, 50955, 50419, 51107, 50962, 51384, 50387, 60084, 62910, 51251, 50867, 51154, 50886, 51702, 50867, 52148, 50867, 52194, 50844, 52058, 55619, 57079, 51266, 50894, 51733, 50894, 50424, 50629, 50425, 51107, 50962, 51384, 50387, 60084, 56323, 50629, 51357, 51884, 52065, 52188, 51098, 51233, 50427, 50629, 50429, 50628, 51093, 50962, 51304, 72149, 51154, 50886, 51088, 69351, 50904, 51251, 50867, 53084, 52984, 50614, 60838, 51113, 50859, 51284, 50859, 51866, 50813, 52058, 50857, 51702, 53352, 59037, 70122, 64359, 50698, 50337, 59701, 50698, 50339, 50370, 60084, 55666, 51299, 51252, 51093, 51175, 51304, 51356, 51150, 50978, 50439, 50698, 50340, 62859, 51299, 50867, 51301, 50904, 51088, 50867, 51093, 52346, 50614, 56069, 50628, 51699, 50874, 51088, 50863, 51866, 50822, 52384, 50857, 52194, 50810, 76754, 60924, 77184, 55106, 50984, 50449, 52819, 55256, 51113, 50974, 51883, 51058, 51098, 51212, 50698, 50330, 63100, 50910, 51027, 50897, 50455, 51299, 50867, 51093, 50822, 51088, 50864, 76754, 51904, 50614, 55835, 51301, 50904, 51699, 50886, 51866, 50857, 52384, 50857, 52194, 62614, 50841, 51026, 50825, 51027, 54839, 71490, 50698, 50334, 50373, 60084, 51000, 66140, 50972, 51638, 51058, 51930, 51484, 50997, 50940, 50906, 50879, 50415, 70122, 66356, 51182, 50894, 51926, 68701, 62910, 51088, 50886, 51968, 50864, 51866, 50844, 52178, 50844, 70122, 51954, 50299, 53352, 50984, 50421, 50861, 61953, 71548, 51926, 50881, 50614, 56323, 51389, 50892, 70122, 50813, 51086, 51014, 50427, 50973, 50924, 50431, 51182, 50894, 51926, 68701, 60838, 52065, 50827, 51098, 50866, 52058, 50886, 51702, 50867, 53084, 50907, 51026, 61077, 54078, 68863, 52819, 55666, 51357, 51534, 51182, 50950, 51926, 50950, 52065, 51333, 51150, 50942, 50443, 51357, 53701, 50614, 56069, 73493, 51284, 50821, 52487, 50821, 51866, 50810, 53084, 50827, 51947, 50886, 52384, 54742, 50984, 50449, 52819, 55256, 51926, 50880, 72325, 51883, 51108, 51098, 77836, 51113, 51423, 50453, 51266, 50890, 51733, 68065, 51093, 50930, 51304, 50930, 51113, 52346, 50614, 55835, 51299, 50822, 51301, 50874, 51088, 50822, 52148, 50822, 51947, 50886, 51866, 50867, 52384, 55651, 71490, 52819, 51000, 63535, 50962, 51384, 50962, 51093, 51423, 51299, 50932, 51389, 50959, 50419, 51093, 50822, 74321, 51113, 50874, 51251, 50857, 51702, 50827, 52148, 55095, 50614, 62910, 51266, 50962, 51733, 50962, 52058, 50886, 52194, 54965, 50984, 50425, 52819, 56323, 75114, 51384, 50880, 52065, 51806, 51357, 51797, 51098, 51363, 50429, 71315, 51304, 62941, 51357, 50864, 51088, 50857, 72039, 51113, 50882, 51284, 52965, 50614, 60838, 53084, 50827, 51866, 50813, 52058, 50867, 51702, 53352, 68863, 51088, 51354, 51182, 52311, 52819, 55666, 52065, 51381, 51357, 51753, 51150, 50978, 50439, 50973, 71562, 51749, 50916, 52263, 50440, 70122, 64101, 51299, 50886, 51357, 50941, 51301, 50864, 51088, 50374, 60084, 56069, 53084, 50851, 51947, 50886, 51866, 50854, 52384, 54742, 50984, 50446, 50698, 50339, 58914, 52819, 55256, 51098, 51233, 50698, 50337, 70570, 51883, 51380, 51113, 51328, 50877, 51411, 50453, 50698, 50339, 63340, 51113, 50874, 51299, 50867, 51301, 50904, 51088, 50864, 51866, 50822, 52148, 52346, 50614, 55835, 51947, 50864, 52384, 50864, 50698, 50340, 54597, 71490, 52819, 51000, 68051, 51330, 51093, 51277, 51299, 51380, 51389, 50959, 50698, 50333, 50904, 76751, 51534, 50899, 51627, 50871, 51412, 50419, 51113, 50864, 72756, 51251, 50867, 51154, 50371, 60084, 62910, 51088, 50890, 51182, 50890, 51702, 50827, 52148, 50827, 52058, 50886, 52194, 50827, 50698, 50337, 55106, 57079, 51113, 50890, 51284, 70576, 51357, 50941, 51357, 50811, 51558, 50926, 50614, 56323, 52065, 51484, 51098, 51412, 70122, 62154, 51253, 50973, 51199, 50861, 51312, 50429, 71315, 51304, 50880, 50698, 50337, 64408, 51357, 74308, 51154, 50827, 51088, 50822, 51251, 50867, 50698, 50339, 50373, 53315, 60838, 51107, 50887, 79647, 53084, 50851, 51866, 50810, 52058, 50857, 51702, 54742, 50984, 50434, 51266, 50962, 51733, 79737, 72325, 51926, 50385, 60084, 55666, 51357, 51753, 52065, 50932, 51150, 50959, 50443, 51088, 50886, 51299, 50867, 51301, 50971, 51357, 50374, 60084, 56069, 51284, 50930, 52487, 50930, 51947, 50886, 51866, 50854, 53084, 50827, 52384, 53352, 50984, 50449, 51883, 51097 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 11, 83, 538, 6, 4246, 5, 20902, 4428, 9, 10170, 1499, 6, 2342, 4467, 6, 3459, 9590, 6, 8, 21072, 4, 590, 10, 132, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 42, 765, 2125, 3905, 10, 33215, 16739, 9, 381, 6, 211, 6, 381, 6, 8, 83, 6, 2351, 10, 33558, 8, 1313, 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 ]

[ 51057, 50625, 50429, 55883, 78881, 53539, 63163, 57146, 50844, 51057, 54343, 50878, 50927, 65764, 55267, 64717, 50385, 53290, 51010, 50415, 71020, 51013, 50417, 55883, 50827, 52029, 50792, 50611, 63222, 51873, 50839, 51666, 50828, 52939, 54031, 52635, 55249, 50802, 51925, 57852, 55883, 50864, 50927, 50820, 51873, 50820, 51666, 50818, 52939, 66961, 53618, 52524, 54343, 50844, 59970, 50849, 51213, 50977, 51845, 50381, 54118, 55146, 51739, 60579, 55883, 62129, 51464, 62225, 57843, 53513, 56666, 50889, 59287, 51666, 50836, 52939, 50890, 51873, 59402, 51520, 56253, 50434, 61105, 56784, 52939, 50884, 51873, 50820, 51666, 57840, 50839, 51057, 51011, 51060, 52834, 59499, 51421, 55804, 54343, 50381, 52486, 54518, 60861, 52979, 51977, 51994, 50855, 52393, 54878, 53424, 50820, 51908, 52716, 50802, 51925, 52801, 53424, 50834, 51011, 50841, 52393, 50884, 51994, 50841, 51908, 70471, 52992, 61105, 50828, 64723, 50839, 51019, 55998, 51739, 72585, 62230, 63043, 61105, 52223, 67255, 60426, 52393, 53810, 61105, 50884, 64723, 50818, 56414, 51994, 50855, 51908, 52259, 51858, 50802, 51925, 68624, 61105, 50841, 64723, 54288, 51994, 50841, 52393, 50884, 51908, 66961, 50841, 51057, 50953, 50901, 52834, 74353, 52675, 55804, 58013, 50839, 57843, 51406, 62057, 59346, 58013, 50855, 57843, 53299, 52330, 50887, 51666, 52716, 50802, 51925, 66685, 58013, 50839, 57843, 55946, 50953, 50835, 52330, 50895, 51666, 54749, 70966, 57074, 53326, 54851, 51011, 50925, 56464, 50881, 50598, 50385, 52486, 56499, 61105, 50839, 64723, 51187, 75869, 60426, 61105, 50836, 64723, 50855, 54469, 69657, 65609, 52393, 50890, 51908, 50384, 52752, 54451, 51858, 59898, 61105, 50820, 64723, 53908, 52393, 50884, 51908, 56028, 57320, 54343, 50835, 54535, 51295, 74248, 51177, 51845, 71728, 52633, 58481, 54343, 50835, 51873, 51750, 62057, 59346, 50674, 50334, 50895, 50674, 50337, 55180, 52939, 50880, 51873, 50813, 51666, 50957, 50612, 55121, 63541, 50674, 50334, 50839, 50674, 50337, 54104, 50927, 50835, 51666, 50846, 52939, 50817, 51873, 54880, 50381, 52486, 60341, 54343, 52712, 51213, 56835, 54262, 50598, 50386, 52486, 54739, 60066, 54343, 50867, 51532, 52476, 50611, 56657, 58013, 50809, 57843, 53695, 51011, 50849, 51873, 50836, 51666, 50887, 52939, 55146, 51858, 50823, 51925, 56861, 58013, 50841, 57843, 56788, 51873, 50829, 51666, 50818, 52939, 67543, 54131, 57880, 52979, 50901, 51057, 54343, 50835, 50927, 57975, 51135, 50388, 53830, 67037, 54343, 50829, 50927, 57840, 51467, 63315, 52635, 57437, 50674, 50334, 50961, 50674, 50337, 50884, 51873, 50855, 51666, 50840, 52939, 59057, 50802, 51925, 76237, 50674, 50334, 50818, 50674, 50337, 50828, 50927, 54446, 51873, 50829, 51666, 50828, 52939, 67543, 53852, 61521, 54535, 77995, 58192, 54343, 51437, 51520, 64717, 50384, 52438, 58967, 58013, 50863, 57843, 52348, 52757, 50611, 60426, 58013, 50887, 57843, 50809, 52979, 54259, 51069, 51060, 51666, 50809, 51873, 50855, 52939, 55146, 51858, 50802, 51925, 57485, 57843, 50841, 58013, 55782, 51666, 50828, 52939, 50817, 51873, 55406, 58414, 54469, 51241, 51057, 54343, 51539, 59499, 50384, 53290, 59630, 61105, 50870, 51069, 51406, 77265, 61923, 52393, 50880, 51908, 55180, 61105, 50883, 64723, 56034, 50802, 51925, 74581, 61105, 54579, 64723, 50839, 51069, 50820, 52393, 50820, 51908, 57840, 54200, 53049, 54343, 50835, 51019, 50977, 56464, 66218, 68335, 58967, 54343, 51464, 62057, 59185, 61105, 50961, 54343, 54334, 51011, 50937, 52393, 50890, 51908, 53690, 51858, 50802, 51925, 57485, 54343, 50828, 61105, 55486, 52393, 50884, 51908, 70471, 56305, 53424, 50849, 51057, 50953, 51101, 51845, 51239, 76653, 59630, 53539, 50841, 58013, 62775, 51467, 76157, 58013, 50841, 53539, 50813, 53539, 50795, 52330, 55777, 51666, 52716, 50802, 51925, 76237, 53539, 50846, 58013, 56828, 50953, 50846, 52330, 50895, 51666, 62775, 53852, 62370, 54642, 55035, 50927, 54042, 66218, 54739, 53277, 50598, 58967, 53539, 50820, 58013, 51187, 70966, 60426, 53539, 50809, 58013, 50930, 53424, 50901, 52330, 50930, 51666, 54334, 50953, 55732, 53547, 50802, 51925, 55632, 53539, 50839, 58013, 50880, 52330, 50961, 51666, 62775, 56305, 52635, 51080, 51057, 54343, 50837, 50927, 77624, 51421, 59499, 61131, 55883, 55926, 54343, 50820, 50927, 51187, 53376, 50611, 63180, 55883, 50840, 54343, 52628, 51873, 50820, 51666, 50809, 52939, 78932, 56189, 60449, 54343, 50828, 55883, 56076, 50927, 50820, 51873, 50835, 51666, 50846, 52939, 67543, 53618, 63790, 53424, 50841, 53539, 52639, 51213, 50892, 53867, 54451, 51052, 54262, 50611, 50890, 50428, 53424, 50862, 53539, 50813, 51532, 62057, 56657, 52635, 50820, 55883, 50846, 51666, 50840, 51873, 50855, 52939, 52359, 51011, 51654, 51858, 50802, 51925, 62268, 52635, 50825, 55883, 54606, 51873, 50834, 51666, 50841, 52939, 66112, 57320, 52635, 50891, 54343, 51447, 52979, 51922, 51057, 69694, 52834, 60549, 51044, 50882, 50416, 52635, 50829, 55883, 69075, 53376, 50611, 59346, 52635, 50835, 55883, 50828, 51666, 50840, 52939, 57188, 51873, 54539, 72078, 74581, 52635, 54316, 50927, 50835, 51873, 50834, 51666, 50828, 52939, 67226, 53618, 52654, 58013, 50818, 57843, 50841, 51069, 54035, 51739, 50881, 50598, 50385, 52486, 54013, 58013, 50834, 57843, 50835, 51873, 52771, 63874, 56657, 58013, 50828, 57843, 52810, 66482, 51873, 50836, 51666, 50809, 52939, 68653, 53393, 56253, 50434, 58013, 53908, 52939, 50817, 51873, 50829, 51666, 57840, 57405, 53424, 51244, 51057, 54343, 50834, 61105, 50891, 74381, 52834, 72719, 52304, 54024, 54343, 50884, 61105, 53850, 66218, 63094, 54343, 50841, 61105, 50837, 51994, 50820, 52393, 50840, 51908, 52628, 51925, 54250, 63541, 53424, 54579, 51069, 50820, 52393, 50818, 51908, 62775, 53618, 52654, 53424, 50839, 51019, 50937, 53867, 50384, 52486, 51864, 53056, 58236, 53424, 51187, 53376, 50611, 52925, 61105, 50884, 64723, 50828, 64604, 52393, 50887, 51994, 50855, 51908, 50385, 52752, 53662, 51858, 59898, 61105, 50846, 64723, 54665, 51994, 50820, 52393, 50818, 51908, 67543, 56305, 53539, 50835, 52635, 50943, 51057, 75649, 52834, 60549, 52304, 78008, 58013, 55927, 53539, 57840, 51187, 66356, 53539, 50818, 58013, 50846, 57843, 53203, 52330, 50930, 51666, 50384, 52752, 54984, 60449, 53539, 50818, 58013, 50846, 57843, 50834, 52330, 62775, 54446, 50953, 50818, 51666, 52816, 66031, 53424, 50914, 53867, 50385, 52486, 53150, 54343, 50825, 51011, 50897, 56464, 53300, 53424, 50825, 54343, 57975, 51467, 67318, 53424, 50820, 54343, 50890, 61105, 50887, 52330, 50880, 51666, 54937, 68584, 51925, 54168, 51858, 59898, 54343, 50884, 61105, 56028, 54606, 53424, 50835, 52330, 50846, 51666, 56359, 52979, 51183, 74248, 51111, 52834, 60549, 51239, 59176, 57843, 50891, 51873, 59667, 51467, 60400, 51666, 50887, 52939, 57188, 50674, 50339, 50882, 51873, 73533, 51858, 60449, 51873, 50829, 51666, 50828, 52939, 67543, 54446, 50674, 50338, 78659, 52816, 60567, 50674, 50337, 53881, 51069, 50942, 53867, 50384, 52486, 51135, 51520, 58236, 51873, 51833, 62057, 52925, 71376, 51873, 50813, 51666, 50840, 52939, 55146, 53547, 50802, 51925, 54496, 51666, 50846, 52939, 66112, 58855, 54343, 51148, 55883, 51148, 51057, 50674, 50334, 67199, 62806, 50387, 53830, 79468, 58486, 77344, 51559, 77265, 52761, 50674, 50336, 50844, 51666, 50812, 52939, 50890 ]

[ 0, 250, 2635, 12, 20764, 3495, 1619, 2214, 11, 12608, 538, 6, 4246, 10, 13305, 6, 21072, 6, 24896, 6, 8, 21979, 9590, 4, 20, 33301, 7630, 6568, 10, 1372, 8, 2365, 6711, 6, 10686, 13, 304, 11, 3541, 4, 20, 1049, 33215, 16739, 9, 230, 119, 401, 6, 163, 428, 6, 8, 12608, 17992, 7, 5, 1349, 18, 15352, 30054, 2868, 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 ]

[ 57448, 52552, 50625, 50876, 51337, 50423, 51028, 50867, 58439, 52104, 50300, 76452, 51312, 51522, 51411, 50801, 51484, 50832, 50933, 58097, 62558, 51051, 53523, 53130, 50316, 51337, 50832, 51051, 51587, 51645, 64551, 61176, 71666, 50906, 52691, 51503, 52216, 50300, 71387, 51312, 51522, 51411, 50801, 51172, 50832, 57940, 50956, 62558, 51051, 55895, 53130, 50316, 51253, 50832, 51051, 51587, 51645, 50456, 50956, 62558, 51051, 58526, 51312, 51028, 51312, 51522, 51411, 50801, 51484, 50832, 50933, 55961, 73705, 59386, 51040, 71508, 51337, 50832, 51051, 51587, 51645, 58783, 73705, 71666, 50951, 52691, 51176, 51312, 51147, 51312, 51522, 51411, 50801, 51172, 50832, 50933, 57428, 73705, 60333, 51040, 67307, 51337, 50832, 51051, 51587, 51645, 50456, 50871, 73705, 72647, 50906, 50867, 58526, 51312, 50876, 51312, 51522, 51411, 50801, 51484, 50832, 50933, 58097, 73705, 51051, 53523, 61902, 51253, 50832, 51051, 51587, 51645, 64551, 73705, 58946, 50931, 52415, 50300, 51312, 51522, 51411, 50801, 51172, 50832, 57940, 50956, 51962, 50319, 73705, 51051, 55895, 61902, 73705, 51051, 51587, 51645, 50456, 50956, 51962, 50319, 73705, 51051, 55881, 52415, 50314, 51312, 51560, 51411, 50801, 51484, 50832, 61378, 51040, 73705, 51051, 56759, 73705, 51051, 51587, 51645, 50432, 51040, 73705, 58946, 51197, 51253, 51560, 51411, 50801, 51172, 50832, 57940, 50832, 60333, 50965, 51309, 51147, 51043, 50832, 50372, 52073, 51242, 52145, 55735, 50832, 59934, 50906, 76819, 54355, 53742, 50904, 58526, 55512, 51542, 51062, 51351, 51522, 51411, 50801, 51484, 50832, 50933, 58097, 62558, 51051, 53523, 62558, 51051, 51587, 51645, 59409, 52169, 50328, 52415, 50307, 61176, 58946, 51028, 52363, 50329, 51665, 50295, 50838, 51560, 51411, 50801, 51172, 50832, 57940, 51040, 53130, 50314, 52169, 50326, 69825, 60333, 50997, 53130, 50311, 75766, 57717, 51051, 51587, 51645, 50456, 51040, 53130, 50316, 52169, 50328, 69825, 51051, 58526, 59316, 51380, 51147, 51267, 51522, 51411, 50801, 51484, 50832, 50933, 58097, 62558, 51051, 53523, 53130, 50316, 51199, 51062, 51109, 50832, 51051, 51587, 51645, 64551, 61176, 58946, 51176, 60778, 51380, 51405, 51109, 51522, 51411, 50801, 51172, 50832, 57940, 50956, 62558, 51051, 55895, 53130, 50324, 51199, 52128, 51109, 50832, 51051, 51587, 51645, 50456, 50956, 62558, 51051, 56807, 52363, 50335, 52434, 50293, 50838, 52318, 51411, 50801, 51484, 50832, 61378, 51040, 53130, 50321, 52169, 50333, 69825, 51051, 56759, 53130, 50319, 52169, 50331, 57717, 51051, 51587, 51645, 50432, 51028, 52169, 50329, 52415, 50305, 61176, 58946, 50876, 52363, 50328, 51665, 50295, 50838, 51560, 51411, 50801, 51172, 50832, 57940, 51040, 53130, 50314, 52169, 50326, 69825, 60333, 50997, 53130, 50317, 52169, 50329, 57717, 51051, 51587, 51645, 50456, 51040, 53130, 50311, 75766, 69825, 51174, 51034, 51028, 51627, 51081, 51448, 50801, 50933, 51206, 61784, 51197, 53535, 50307, 51006, 51560, 65220, 51210, 54928, 51587, 59386, 51050, 53535, 50309, 51058, 51140, 65220, 51210, 50791, 51174, 51587, 56626, 51026, 53535, 50311, 51006, 51098, 65220, 51210, 50852, 51174, 51587, 58946, 51176, 51775, 50965, 51025, 50876, 51576, 51147, 51480, 51522, 51411, 50801, 51534, 50791, 51363, 51587, 51363, 52552, 50625, 53250, 51412, 51190, 50396, 50423, 54414, 57516, 50867, 50799, 57147, 51391, 51503, 51380, 51176, 51267, 51522, 51411, 50801, 59536, 50955, 58097, 73793, 67220, 50978, 52653, 51587, 50959, 56040, 73793, 67220, 50987, 52653, 51587, 60675, 57147, 71678, 73793, 67220, 50987, 52653, 51587, 58450, 54414, 51411, 52046, 51199, 51197, 51109, 51560, 51411, 50801, 56879, 50955, 61614, 64716, 64066, 67011, 50959, 51587, 58248, 53250, 51480, 51503, 51199, 51176, 51109, 51522, 51480, 50801, 60076, 50456, 50956, 73793, 67220, 67011, 50959, 51587, 50959, 50799, 56853, 51391, 52759, 51199, 51360, 51109, 52318, 51411, 50801, 59536, 50955, 55961, 73793, 52169, 50317, 50987, 52653, 51587, 50959, 53645, 73793, 52169, 50317, 50987, 52653, 51587, 60675, 53863, 65482, 73793, 52169, 50317, 50978, 52653, 51587, 58450, 53407, 51411, 52759, 51709, 51360, 51109, 52318, 51411, 50801, 59536, 50955, 57428, 73793, 52169, 50317, 50978, 52653, 51587, 50959, 56415, 73793, 52169, 50317, 50987, 52653, 51587, 61898, 53407, 65482, 73793, 52169, 50317, 50987, 52653, 51587, 50959, 50799, 53777, 51391, 51503, 51380, 51176, 51267, 51522, 51411, 50801, 59536, 50955, 58097, 73793, 67220, 50987, 52653, 51587, 50959, 56040, 73793, 67220, 50987, 52653, 51587, 60675, 53250, 71678, 73793, 67220, 50987, 52653, 51587, 58450, 53250, 51411, 51247, 51199, 51050, 51109, 51140, 51411, 50801, 59536, 50955, 55989, 73793, 50987, 52653, 51587, 58248, 57147, 51480, 50899, 73793, 50987, 52653, 51587, 61898, 50899, 73793, 50987, 52653, 51587, 50959, 50799, 54414, 51448, 52046, 51199, 51197, 51109, 51560, 51411, 50801, 59536, 50955, 58097, 64716, 64066, 50987, 52653, 51587, 50959, 56040, 64716, 64066, 50987, 52653, 51587, 60675, 50956, 64716, 64066, 50978, 52653, 51587, 58450, 52046, 51199, 51197, 51312, 50956, 68120, 70338, 51560, 51411, 50801, 51008, 51206, 51363, 51587, 58991, 52060, 56317, 52060, 54185, 53250, 51412, 51190, 50396, 51553, 58345, 51224, 54481, 51456, 57490, 54414, 50374, 53221, 56707, 50867, 50799, 57147, 51391, 51176, 51312, 51522, 51411, 50801, 59536, 50955, 58097, 53535, 50312, 78184, 51006, 50903, 60076, 56040, 53535, 50312, 78184, 51006, 50903, 60076, 50432, 57147, 71678, 72457, 64900, 59355, 60076, 50438, 50625, 54414, 51411, 52046, 51199, 51197, 51109, 51560, 51411, 50801, 56879, 77376, 50625, 61614, 53535, 50311, 53535, 50314, 51006, 50903, 66773, 63251, 50625, 50450, 53250, 51480, 51503, 51199, 51176, 51109, 51522, 51480, 50903, 60076, 50451, 50625, 50455, 50625, 50456, 50956, 53535, 50312, 78184, 51006, 50903, 66773, 67419, 50625, 57448, 56853, 51391, 52759, 51199, 51360, 51109, 52318, 51411, 50801, 59536, 50955, 55961, 53535, 50312, 53535, 50317, 51006, 50903, 60076, 53645, 53535, 50312, 53535, 50317, 51006, 50903, 60076, 50432, 53863, 65482, 72457, 75867, 50972, 50903, 60076, 50438, 53407, 51391, 52759, 51709, 51360, 51109, 52318, 51411, 50801, 59536, 50955, 57428, 53535, 50312, 53535, 50317, 51174, 50903, 60076, 56415, 53535, 50312, 53535, 50317, 51006, 50903, 60076, 50456, 53777, 65482, 53535, 50312, 53535, 50317, 51006, 50903, 60076, 50799, 53777, 51391, 51503, 51380, 51176, 51267, 51522, 51411, 50801, 59536, 50955, 58097, 53535, 50312, 78184, 51006, 50903, 60076, 56040, 53535, 50312, 78184, 51006, 50903, 60076, 50432, 53250, 71678, 72457, 64900, 59355, 60076, 50438, 53250, 51411, 52046, 51199, 51197, 51109, 51560, 51411, 50801, 59536, 50955, 61614, 53535, 50311, 53535, 50314, 51006, 50903, 60076, 50450, 54414, 51480, 50956, 53535, 50311, 53535, 50314, 51006, 50903, 60076, 50456, 50956, 53535, 50311, 53535, 50314, 51006, 50903, 60076, 50799, 57147, 51448, 51503, 51380, 51176, 51267, 51522, 51411, 50801, 59536, 50955, 58097, 53535, 50312, 78184, 51006, 50903, 60076, 56040, 53535, 50312, 78184, 51006, 50903, 60076, 64551, 53535, 50312, 78184, 51174, 50903, 60076, 50438, 51503, 51199, 51176, 51109, 50956, 51380, 50965, 51380, 67384, 51522, 51411, 50801, 51534, 50903, 51203, 51206, 74047, 53777, 79543, 51412, 51335, 51412, 50799 ]

[ 0, 713, 765, 5175, 2214, 11, 230, 538, 1575, 10, 17465, 102, 6, 2382, 3459, 8669, 6, 1481, 1113, 6, 8, 21072, 6, 2351, 10, 11739, 9, 15352, 30054, 8, 1372, 23338, 293, 19, 17878, 9, 2365, 8, 20425, 223, 34693, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 26658, 23, 10, 2635, 38467, 20889, 9, 843, 13410, 228, 2289, 6, 19, 10, 33215, 13931, 9, 230, 119, 406, 6, 274, 73, 534, 6, 230, 6, 272, 119, 406, 6, 8, 274, 8165, 683, 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 ]

[ 50799, 50619, 54458, 51528, 54726, 50841, 62747, 52056, 55129, 51312, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 71970, 51450, 53846, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129, 50844, 51382, 53846, 50841, 52047, 51074, 53942, 50892, 54710, 52881, 65091, 50841, 51616, 51074, 53994, 50892, 55975, 50841, 51528, 54726, 50841, 62747, 52056, 55129, 51312, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 71970, 51450, 53846, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129, 50844, 51382, 53846, 50841, 52047, 51074, 53942, 50892, 54710, 52881, 65091, 50841, 51616, 51074, 53994, 50892, 55975, 50841, 51528, 54726, 50841, 62747, 52056, 55129, 51312, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 71970, 51450, 53846, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129, 50844, 51382, 53846, 50841, 52047, 51074, 53942, 50892, 54710, 52881, 65091, 50841, 51616, 51074, 53994, 50892, 55975, 50841, 51528, 54726, 50841, 51282, 52056, 55129, 51312, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 51401, 51074, 53942, 50892, 53764, 52667, 71970, 51616, 51074, 55129, 60234, 71970, 51450, 53846, 50841, 51616, 50907, 53994, 50892, 54268, 50841, 51815, 50907, 54141, 61435, 53846, 54726, 50841, 51401, 50907, 53942, 55876, 51289, 53846, 50841, 51282, 50907, 55129, 50844, 51382, 53846, 65118, 50841, 51557, 51074, 53942, 65371, 51326, 53846, 52881, 52855, 51985, 54726, 70171, 51074, 53994, 60977, 51289, 53846, 50841, 50799, 72012, 52195, 52855, 51367, 50841, 62747, 52056, 55129, 51312, 57778, 52071, 61716, 52071, 58072, 52071, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 50843, 53116, 76305, 51566, 63014, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129, 54004, 72012, 78275, 53846, 50841, 52047, 51074, 53942, 50892, 54710, 52881, 65091, 50841, 51616, 51074, 53994, 50892, 55975, 50841, 50799, 50762, 50324, 52266, 65091, 50841, 62747, 52056, 55129, 51312, 55520, 52071, 61716, 52071, 75229, 52071, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 71970, 51450, 53846, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129, 50844, 51382, 53846, 50841, 52047, 51074, 53942, 50892, 54710, 52881, 72012, 53235, 54726, 50841, 51616, 51074, 53994, 60977, 50762, 50324, 54429, 50841, 50799, 50762, 50326, 52195, 65091, 50841, 62747, 52056, 55129, 51312, 55749, 52071, 56846, 52071, 71751, 52071, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 50843, 53116, 50762, 50325, 51566, 63014, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129, 54004, 50762, 50326, 78275, 53846, 50841, 52047, 51074, 53942, 50892, 54710, 52881, 65091, 50841, 51616, 51074, 53994, 50892, 55975, 50841, 50799, 76055, 53241, 65091, 50841, 62747, 52056, 55129, 51312, 56846, 52071, 62986, 52071, 74011, 52071, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 71970, 51450, 53846, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129, 50844, 51382, 53846, 50841, 52047, 51074, 53942, 50892, 54710, 52881, 65091, 50841, 51616, 51074, 53994, 50892, 55975, 50841, 50799, 50762, 50325, 53235, 54726, 50841, 62747, 51074, 55129, 50892, 62986, 59991, 50762, 50326, 54429, 50841, 71751, 54351, 76055, 52965, 50574, 53846, 50841, 74011, 55266, 50762, 50325, 54429, 50841, 62986, 53450, 50762, 50326, 54092, 54726, 50841, 71751, 57250, 50762, 50325, 54429, 50841, 62986, 53513, 72012, 52965, 50574, 53846, 50841, 58072, 55167, 71466, 52965, 50574, 53846, 50841, 56846, 53614, 50762, 50320, 53235, 53846, 50841, 52047, 52056, 53942, 51312, 57089, 58709, 71466, 52965, 50574, 53846, 50841, 56846, 53783, 72012, 54092, 71958, 53846, 54726, 50841, 58072, 55876, 50762, 50320, 52965, 50574, 53846, 50841, 57089, 54004, 71466, 54092, 61435, 53846, 50841, 51616, 52056, 53994, 51312, 56846, 58305, 50762, 50320, 52965, 50574, 53846, 50841, 57089, 54194, 66541, 53235, 71958, 54726, 50841, 55749, 56569, 66965, 66992, 53846, 50841, 79457, 50799, 66934, 52195, 65091, 50841, 62747, 52056, 55129, 51312, 55184, 52071, 55936, 52071, 56979, 52071, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 50843, 53116, 50762, 50309, 51566, 63014, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129, 54004, 66934, 78275, 53846, 50841, 52047, 51074, 53942, 50892, 54710, 52881, 65091, 50841, 51616, 51074, 53994, 50892, 55975, 50841, 50799, 71347, 52282, 65091, 50841, 62747, 52056, 55129, 51312, 57294, 52071, 55938, 52071, 57778, 52071, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 71970, 51450, 53846, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 71082, 54092, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71347, 54429, 50841, 62747, 50907, 55129, 54004, 76305, 54092, 53846, 50841, 52047, 51074, 53942, 65371, 66541, 54429, 52881, 66965, 53235, 54726, 50841, 51616, 51074, 53994, 60977, 76305, 54429, 50841, 50799, 66541, 53235, 54726, 50841, 62747, 52056, 55129, 51312, 55448, 52071, 55936, 52071, 57778, 52071, 50417, 66965, 54429, 53223, 71347, 54429, 54477, 71082, 54429, 52870, 71347, 54092, 54726, 50841, 52047, 51074, 53942, 64318, 50762, 50309, 54429, 52667, 71082, 54429, 50841, 62747, 51074, 55129, 60234, 71347, 54429, 53116, 66541, 53235, 53846, 50841, 51616, 51074, 53994, 69151, 71347, 54429, 53041, 66965, 54092, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 66541, 54429, 50841, 62747, 50907, 55129, 54004, 71466, 54092, 53846, 50841, 52047, 51074, 53942, 65371, 72012, 54429, 52881, 50762, 50326, 53235, 54726, 50841, 51616, 51074, 53994, 60977, 72012, 54429, 50841, 50799, 50762, 50325, 53241, 65091, 50841, 62747, 52056, 55129, 51312, 55184, 52071, 55936, 52071, 56979, 52071, 53440, 50841, 52399, 54477, 71970, 51302, 54726, 50841, 52047, 51074, 53942, 50892, 53764, 52667, 71970, 62747, 51074, 55129, 60234, 71970, 51450, 53846, 50841, 51616, 51074, 53994, 50892, 54268, 53041, 50804, 53846, 54726, 50841, 52047, 50907, 53942, 55876, 71970, 62747, 50907, 55129 ]

[ 0, 713, 14899, 3495, 2214, 11, 272, 538, 22750, 1626, 11098, 8, 8593, 26358, 149, 63, 15352, 30054, 2301, 4, 25837, 2987, 30, 5, 20902, 4069, 9, 10170, 1499, 6, 228, 438, 4781, 2088, 6757, 6, 3459, 8, 21979, 9590, 6, 8, 21072, 6, 24, 11498, 41, 20425, 12447, 1001, 20889, 1328, 4, 20, 204, 73, 306, 86, 6543, 4719, 5, 12989, 5204, 25, 5, 33215, 16739, 9, 211, 401, 6, 83, 406, 6, 272, 119, 6, 8, 1918, 30853, 6, 1271, 10, 2842, 9, 33558, 27456, 7, 42, 765, 53, 913, 2650, 2365, 12, 6928, 8859, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50816, 71757, 50816, 53504, 50816, 50991, 50419, 50816, 58938, 51326, 52424, 51273, 51730, 54490, 50795, 53342, 50800, 51666, 65665, 51820, 51273, 52227, 50795, 53342, 50800, 51666, 65665, 51757, 51389, 52390, 56408, 51666, 50800, 54237, 50800, 51271, 51754, 51389, 52390, 56408, 51666, 50800, 54237, 50800, 51271, 50800, 55929, 51730, 54490, 50795, 53653, 50800, 51531, 78536, 51835, 51461, 52227, 50795, 53653, 50800, 51531, 78536, 51620, 51150, 52390, 56408, 51531, 50800, 53375, 50800, 51133, 51628, 51150, 52390, 56408, 51531, 50800, 53375, 50800, 51133, 51724, 51273, 51730, 51370, 51036, 53342, 50800, 51666, 65665, 51820, 67488, 51326, 50795, 51873, 50807, 52368, 50807, 51011, 52728, 51553, 51923, 51098, 72968, 50795, 51994, 50807, 51871, 62220, 50807, 50799, 51456, 52115, 51493, 60965, 50795, 52619, 50800, 51908, 62416, 52296, 51140, 50800, 52498, 50800, 51691, 50800, 50945, 51620, 51493, 52390, 50800, 52619, 50800, 51908, 62416, 52765, 51273, 52390, 50800, 53342, 50800, 51666, 65665, 51628, 51461, 52108, 50800, 53653, 50795, 51531, 68152, 53505, 50816, 51724, 51273, 51730, 54490, 50795, 53342, 50800, 51666, 65665, 51820, 51273, 52227, 50795, 53342, 50800, 51666, 65665, 51757, 51389, 52390, 56408, 51666, 50800, 54237, 50800, 51271, 51754, 51389, 52390, 56408, 51666, 50800, 54237, 50800, 51271, 50800, 55929, 51730, 54490, 50795, 53653, 50800, 51531, 78536, 51835, 51461, 52227, 50795, 53653, 50800, 51531, 78536, 51620, 51150, 52390, 56408, 51531, 50800, 53375, 50800, 51133, 51628, 51150, 52390, 56408, 51531, 50800, 53375, 50800, 51133, 51724, 51273, 51730, 51370, 51036, 53342, 50800, 51666, 65665, 51820, 67488, 51326, 50795, 51873, 50807, 52368, 50807, 51011, 52728, 51553, 51923, 51098, 72968, 50795, 51994, 50807, 51871, 62220, 50807, 50799, 51456, 52115, 51493, 60965, 50795, 52619, 50800, 51908, 62416, 52296, 51140, 50800, 52498, 50800, 51691, 50800, 50945, 51620, 51493, 52390, 50800, 52619, 50800, 51908, 62416, 52765, 51273, 52390, 50800, 53342, 50800, 51666, 65665, 51628, 51461, 50795, 52789, 52108, 50800, 53653, 50795, 51531, 68152, 53505, 50816, 51724, 51273, 50800, 52789, 55157, 54490, 50795, 53342, 50800, 51666, 65665, 51820, 51273, 52227, 50795, 53342, 50800, 51666, 65665, 51757, 51389, 52390, 56408, 51666, 50800, 54237, 50800, 51271, 51754, 51389, 50800, 52789, 52108, 56408, 51666, 50800, 54237, 50800, 51271, 50800, 55929, 50800, 52901, 51428, 54490, 50795, 53653, 50800, 51531, 78536, 51835, 51461, 50800, 52901, 56408, 53653, 50800, 51531, 78536, 51620, 51150, 50800, 52901, 52108, 56408, 51531, 50800, 53375, 50800, 51133, 51628, 51150, 50800, 52901, 52108, 56408, 51531, 50800, 53375, 50800, 51133, 51724, 51273, 50800, 54775, 62480, 51036, 53342, 50800, 51666, 65665, 51820, 67488, 54775, 56971, 50795, 51873, 50807, 52368, 50807, 51011, 52728, 54775, 50795, 51553, 51923, 74808, 52789, 50918, 51326, 50795, 51994, 50807, 51871, 62220, 50807, 50799, 51456, 52115, 51493, 60965, 50795, 52619, 50800, 51908, 62416, 52296, 51140, 50800, 52498, 50800, 51691, 50800, 50945, 51620, 51493, 52390, 50800, 52619, 50800, 51908, 62416, 52765, 51273, 52390, 50800, 53342, 50800, 51666, 65665, 51628, 51461, 50795, 52789, 52108, 50800, 53653, 50795, 51531, 68152, 53505, 50816, 51724, 51273, 50800, 52789, 55157, 54490, 50795, 53342, 50800, 51666, 65665, 51820, 51273, 52227, 50795, 53342, 50800, 51666, 65665, 51757, 51389, 52390, 56408, 51666, 50800, 54237, 50800, 51271, 51754, 51389, 50800, 52789, 52108, 56408, 51666, 50800, 54237, 50800, 51271, 50800, 55929, 50800, 52901, 51428, 54490, 50795, 53653, 50800, 51531, 78536, 51835, 51461, 50800, 52901, 56408, 53653, 50800, 51531, 78536, 51620, 51150, 50800, 52901, 52108, 56408, 51531, 50800, 53375, 50800, 51133, 51628, 51150, 50800, 52901, 52108, 56408, 51531, 50800, 53375, 50800, 51133, 51724, 51273, 50800, 54775, 62480, 51036, 53342, 50800, 51666, 65665, 51820, 67488, 54775, 56971, 50795, 51873, 50807, 52368, 50807, 51011, 52728, 54775, 50795, 51553, 51923, 74808, 52789, 50918, 51326, 50795, 51994, 50807, 51871, 62220, 50807, 50799, 51456, 52115, 51493, 60965, 50795, 52619, 50800, 51908, 62416, 52296, 51140, 50800, 52498, 50800, 51691, 50800, 50945, 51620, 51493, 52390, 50800, 52619, 50800, 51908, 62416, 52765, 51273, 52390, 50800, 53342, 50800, 51666, 65665, 51628, 51461, 50795, 52789, 52108, 50800, 53653, 50795, 51531, 68152, 53505, 50816, 51724, 51273, 50800, 52789, 55157, 54490, 50795, 53342, 50800, 51666, 65665, 51820, 51273, 52227, 50795, 53342, 50800, 51666, 65665, 51757, 51389, 52390, 56408, 51666, 50800, 54237, 50800, 51271, 51754, 51389, 50800, 52789, 52108, 56408, 51666, 50800, 54237, 50800, 51271, 50800, 55929, 50800, 52901, 51428, 54490, 50795, 53653, 50800, 51531, 78536, 51835, 51461, 50800, 52901, 56408, 53653, 50800, 51531, 78536, 51620, 51150, 50800, 52901, 52108, 56408, 51531, 50800, 53375, 50800, 51133, 51628, 51150, 50800, 52901, 52108, 56408, 51531, 50800, 53375, 50800, 51133, 51724, 51273, 50800, 54775, 62480, 51036, 53342, 50800, 51666, 65665, 51820, 67488, 54775, 56971, 50795, 51873, 50807, 52368, 50807, 51011, 52728, 54775, 50795, 51553, 51923, 74808, 52789, 50918, 51326, 50795, 51994, 50807, 51871, 62220, 50807, 50799, 51456, 52115, 51493, 60965, 50795, 52619, 50800, 51908, 62416, 52296, 51140, 50800, 52498, 50800, 51691, 50800, 50945, 51620, 51493, 52390, 50800, 52619, 50800, 51908, 62416, 52765, 51273, 52390, 50800, 53342, 50800, 51666, 65665, 51628, 51461, 50795, 52789, 52108, 50800, 53653, 50795, 51531, 68152, 53505, 50816, 51724, 51273, 50800, 52789, 55157, 54490, 50795, 53342, 50800, 51666, 65665, 51820, 51273, 52227, 50795, 53342, 50800, 51666, 65665, 51757, 51389, 52390, 56408, 51666, 50800, 54237, 50800, 51271, 51754, 51389, 50800, 52789, 52108, 56408, 51666, 50800, 54237, 50800, 51271, 50800, 55929, 50800, 52901, 51428, 54490, 50795, 53653, 50800, 51531, 78536, 51835, 51461, 50800, 52901, 56408, 53653, 50800, 51531, 78536, 51620, 51150, 50800, 52901, 52108, 56408, 51531, 50800, 53375, 50800, 51133, 51628, 51150, 50800, 52901, 52108, 56408, 51531, 50800, 53375, 50800, 51133, 51724, 51273, 50800, 54775, 62480, 51036, 53342, 50800, 51666, 65665, 51820, 67488, 54775, 56971, 50795, 51873, 50807, 52368, 50807, 51011, 52728, 54775, 50795, 51553, 51923, 74808, 52789, 50918, 51326, 50795, 51994, 50807, 51871, 62220, 50807, 50799, 51456, 52115, 51493, 60965, 50795, 52619, 50800, 51908, 62416, 52296, 51140, 50800, 52498, 50800, 51691, 50800, 50945, 51620, 51493, 52390, 50800, 52619, 50800, 51908, 62416, 52765, 51273, 52390, 50800, 53342, 50800, 51666, 65665, 51628, 51461, 50795, 52789, 52108, 50800, 53653, 50795, 51531, 68152, 53505, 50816, 51724, 51273, 50807, 54775, 53030, 61488, 53342, 50807, 51666, 50807, 52368, 72137, 52728, 51705, 50795, 54775, 53030, 66258, 53342, 50795, 51666, 50795, 52368, 50795, 51213, 51923, 51216, 56252, 53342, 50795, 51666, 50795, 52368, 78419, 55929, 50807, 53676, 53030, 61488, 53653, 50807, 51531, 50807, 51871, 76760, 52910, 51493, 50795, 52789, 53030, 66258, 53653, 50795, 51531, 50795, 51871, 73732, 51736, 51098, 56252, 53653, 50795, 51531, 50795, 51871, 60277, 51646, 51273, 50807, 54775, 72750, 61488, 53342, 50807, 51666, 50807, 52368 ]

[ 0, 250, 765, 15855, 8, 19834, 2125, 14, 7630, 6568, 10, 1619, 4780, 19, 63, 19448, 8, 15352, 30054, 23225, 4, 38837, 30, 41, 12547, 9, 21979, 9590, 6, 2342, 4467, 6, 30062, 620, 7085, 12280, 642, 6, 6168, 3540, 6, 8, 326, 5638, 18026, 6, 24, 18, 278, 11, 83, 3694, 19, 10, 155, 73, 306, 86, 6543, 8, 10, 20902, 27841, 139, 20889, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51034, 50638, 53118, 57944, 52566, 50807, 53000, 50807, 53436, 52424, 53000, 50807, 53436, 50807, 53647, 50807, 51034, 54969, 57944, 53267, 50807, 54254, 50807, 53039, 52424, 54254, 50807, 53039, 50807, 54428, 50807, 51034, 53118, 57944, 52566, 50807, 53000, 50807, 53436, 52424, 53000, 50807, 53436, 50807, 53647, 50807, 51034, 54969, 57944, 53267, 50807, 54254, 50807, 53039, 52424, 54254, 50807, 53039, 50807, 54428, 50807, 51034, 53118, 51161, 51673, 51127, 51793, 51527, 50426, 52566, 50807, 53000, 50807, 53436, 52424, 53000, 50807, 53436, 50807, 53647, 50807, 51686, 50873, 51150, 53218, 51606, 50873, 51034, 54969, 51161, 51596, 51218, 51930, 51527, 50426, 53267, 50807, 54254, 50807, 53039, 53182, 51596, 54233, 54254, 50807, 53039, 50807, 54428, 50807, 51606, 50873, 52078, 53218, 51565, 50873, 51034, 53118, 51161, 51686, 50873, 51793, 51527, 50420, 51827, 53890, 52566, 50807, 53000, 50807, 53436, 50807, 51686, 54259, 51827, 54233, 53000, 50807, 53436, 50807, 53647, 50807, 51686, 50873, 51150, 53218, 51827, 50873, 51034, 54969, 51161, 51686, 52250, 51930, 52369, 50426, 53267, 50807, 54254, 50807, 53039, 52424, 54254, 50807, 53039, 50807, 54428, 50807, 51034, 53118, 51161, 51793, 51527, 50426, 52566, 50807, 53000, 50807, 53436, 52424, 53000, 50807, 53436, 50807, 53647, 50807, 74596, 51034, 54969, 51161, 51930, 51527, 50426, 53267, 50807, 54254, 50807, 53039, 52424, 54254, 50807, 53039, 50807, 54428, 50807, 51565, 50943, 52078, 50807, 51034, 53118, 51161, 51606, 50873, 51793, 51527, 50426, 52566, 50807, 53000, 50807, 53436, 50807, 51606, 54259, 51565, 54233, 53000, 50807, 53436, 50807, 53647, 50807, 51606, 50873, 51150, 53218, 52161, 50873, 51034, 53118, 50807, 52566, 50807, 53000, 50807, 53436, 50807, 51606, 51675, 51793, 62945, 53748, 50807, 54029, 50807, 53260, 50807, 54740, 50807, 51984, 61287, 54969, 50807, 53267, 50807, 54254, 50807, 53039, 50807, 51930, 51054, 51034, 53472, 51161, 52614, 50918, 51389, 51527, 50426, 52890, 50807, 52697, 50807, 54895, 52424, 52697, 50807, 54895, 50807, 53436, 50807, 53839, 50795, 53240, 53218, 52494, 50795, 51034, 53715, 51161, 54577, 50983, 51150, 51527, 50426, 52650, 50807, 52566, 50807, 53260, 53182, 54577, 51646, 52566, 50807, 53260, 50807, 53039, 50807, 52494, 50795, 51984, 53218, 52882, 50795, 51034, 53472, 51161, 53839, 69535, 51527, 50420, 52203, 51631, 52890, 50807, 52697, 50807, 54895, 50807, 53839, 51736, 52203, 51646, 52697, 50807, 54895, 50807, 53436, 50807, 53839, 50795, 53240, 53218, 52203, 50795, 51034, 53715, 51161, 53839, 51492, 51150, 52369, 50426, 52650, 50807, 52566, 50807, 53260, 52424, 52566, 50807, 53260, 50807, 53039, 50807, 51034, 53472, 51161, 51389, 51527, 50426, 52890, 50807, 52697, 50807, 54895, 52424, 52697, 50807, 54895, 50807, 53436, 50807, 53240, 50807, 51034, 53715, 51161, 51150, 51527, 50426, 52650, 50807, 52566, 50807, 53260, 52424, 52566, 50807, 53260, 50807, 53039, 50807, 52882, 50807, 51984, 50807, 51034, 53472, 51161, 52494, 69535, 51527, 50426, 52890, 50807, 52697, 50807, 54895, 50807, 52494, 51736, 52882, 51646, 52697, 50807, 54895, 50807, 53436, 50807, 52494, 50795, 53240, 53218, 52795, 50795, 51034, 53715, 51161, 52494, 50918, 51150, 62945, 52650, 50807, 52566, 50807, 53260, 50807, 52078, 61287, 52566, 50807, 53260, 50807, 53039, 50807, 52795, 50807, 53691, 51054, 51034, 53472, 50807, 52890, 50807, 52697, 50807, 54895, 50807, 52604, 50873, 52494, 50795, 55616, 61304, 51886, 53890, 52251, 50873, 52494, 51736, 51686, 50873, 52882, 51646, 55039, 50807, 52890, 50807, 52697, 50807, 54895, 50807, 52083, 50873, 53839, 50795, 53240, 60969, 51686, 50873, 52614, 50795, 51034, 60131, 50807, 52890, 50807, 52697, 50807, 54895, 50807, 51596, 50873, 53767, 69535, 61287, 51216, 50923, 51034, 52650, 50918, 52566, 50918, 53260, 50918, 51389, 51527, 52351, 52147, 50438, 52650, 50807, 52566, 50807, 53260, 50807, 67879, 52351, 56869, 51034, 52566, 50918, 53260, 50918, 53039, 50918, 51389, 51527, 52351, 67608, 52566, 50807, 53260, 50807, 53039, 50807, 67879, 52351, 52618, 51034, 53260, 50918, 53039, 50918, 53647, 50918, 51389, 51527, 52351, 60610, 53260, 50807, 53039, 50807, 53647, 50807, 67879, 52351, 52025, 51034, 53039, 50918, 53647, 50918, 55802, 50918, 51389, 51527, 52351, 56039, 53039, 50807, 53647, 50807, 55802, 50807, 51389, 53030, 51128, 52351, 51333, 50440, 50816, 50971, 57040, 55368, 50816, 50867, 56594, 60168, 50816, 50836, 51034, 51886, 50873, 53839, 50795, 53780, 50795, 52196, 50795, 51485, 69535, 60746, 57479, 51161, 52351, 51356, 50416, 50816, 61292, 50816, 54402, 50816, 61359, 50816, 58304, 50816, 53383, 51886, 50873, 53839, 50795, 53780, 50795, 52196, 50795, 51485, 50795, 53240, 60746, 50867, 63261, 63341, 50816, 54854, 52433, 50873, 52203, 50795, 51946, 50795, 52196, 50795, 51744, 52108, 50941, 57671, 50971, 57008, 55666, 51886, 50873, 53839, 50795, 53780, 50795, 52196, 50795, 51485, 50795, 53033, 60746, 51128, 52351, 50915, 50440, 50816, 51297, 57040, 60923, 51673, 50873, 52882, 50795, 53064, 50795, 52196, 50795, 51431, 52108, 51851, 56594, 52134, 50448, 50816, 52134, 51034, 51886, 51127, 53839, 50918, 53780, 50918, 52196, 50918, 51485, 50918, 52078, 60746, 57479, 51161, 52560, 51356, 50416, 50816, 61292, 50816, 54402, 50816, 61359, 50816, 58304, 50816, 53383, 51150, 60746, 50867, 63261, 63341, 50816, 54854, 50816, 50941, 57671, 50971, 57008, 55666, 51673, 50943, 52882, 50807, 53064, 50807, 52196, 50807, 77400, 51868, 60746, 51128, 52560, 50915, 50440, 50816, 51297, 57040, 60923, 50816, 51851, 56594, 52134, 50448, 50816, 52134, 51034, 51886, 50873, 53839, 50795, 53780, 50795, 52196, 50795, 51485, 50795, 52058, 50795, 54885, 76574, 60746, 50807, 52351, 51356, 50426, 53093, 50795, 56435, 50802, 55616, 59984, 51886, 50873, 53839, 50795, 53780, 50795, 52196, 50795, 51485, 52108, 51646, 51886, 50873, 53839, 50795, 53780, 50795, 52196, 50795, 51485, 50795, 55870, 50795, 67259, 50802, 53240, 60746, 50807, 52351, 51016, 50269, 50785, 50414, 51886, 50873, 53839, 50795, 53780, 50795, 52196, 50795, 51485, 50795, 55173, 50795, 61053, 76574, 60746, 67934, 51161, 52351, 51941, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 2635, 8, 19448, 5175, 25771, 2214, 14, 7630, 6568, 10, 1472, 9, 20183, 8, 980, 6, 19, 17878, 9, 15073, 4, 20, 13305, 8, 38668, 2236, 483, 5, 33301, 6, 7513, 30, 5, 364, 38537, 23225, 9, 5, 1893, 43639, 6, 1021, 5901, 1243, 6, 8, 16867, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 20889, 16, 10, 20902, 12447, 1001, 6, 8, 5, 33215, 16739, 1575, 230, 6, 230, 37152, 6, 8, 163, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50415, 50723, 50285, 50824, 50729, 50285, 50824, 54140, 50366, 66543, 53868, 52945, 51675, 52689, 51538, 63514, 51675, 63514, 51675, 58202, 51538, 58202, 78907, 51410, 50810, 51303, 50854, 51249, 50844, 51476, 50857, 50723, 50304, 50987, 77349, 50866, 65167, 50977, 57619, 50987, 53717, 52816, 61699, 50723, 50304, 59009, 50723, 50305, 57485, 53717, 55799, 77349, 57784, 50723, 50307, 52952, 72009, 50811, 50723, 50292, 50824, 50729, 50292, 50824, 54140, 50366, 66543, 66424, 65167, 63399, 51303, 50833, 51249, 50942, 51476, 50844, 51410, 50833, 50723, 50304, 50987, 77349, 50937, 65167, 50937, 57619, 50977, 53717, 52816, 62474, 53565, 52208, 54911, 52017, 70826, 52017, 70826, 52017, 74489, 52208, 74489, 52208, 50458, 53717, 50891, 50799, 50723, 50285, 50824, 50729, 50285, 50824, 54140, 50366, 66543, 58646, 50723, 50304, 51973, 52571, 50839, 51303, 50942, 51651, 50978, 52571, 50810, 50723, 50303, 50839, 50723, 50303, 50866, 65167, 50977, 66964, 50978, 53717, 52816, 75322, 50723, 50305, 57925, 77349, 55996, 50723, 50307, 50881, 50565, 58286, 72009, 61546, 50723, 50291, 50824, 50729, 50291, 50824, 54140, 50366, 66543, 52772, 52571, 50839, 51303, 50833, 51651, 50854, 52571, 50854, 50723, 50303, 50839, 50723, 50303, 50977, 65167, 50937, 66964, 50977, 53717, 52816, 63569, 53717, 50891, 50799, 50723, 50285, 50817, 50729, 50285, 50853, 50563, 50366, 66543, 57030, 53391, 51145, 53132, 51047, 50723, 50287, 51072, 65829, 51047, 65829, 51047, 65621, 51145, 65621, 51145, 50729, 50287, 66489, 51231, 75630, 50822, 51410, 50829, 51410, 50857, 77349, 50829, 50723, 50302, 50823, 77349, 50987, 57964, 50866, 59659, 50978, 53717, 52816, 60155, 50723, 50303, 57476, 50723, 50304, 56861, 53717, 55799, 50723, 50305, 55276, 50723, 50294, 50824, 50729, 50294, 50824, 54140, 50366, 66543, 57972, 55283, 51073, 50730, 50308, 51073, 50730, 50308, 51073, 50440, 77349, 61409, 65167, 58317, 55327, 51116, 51231, 50812, 51410, 50857, 51414, 50810, 51410, 50833, 77349, 50987, 57964, 50917, 59659, 50866, 77349, 51241, 50730, 50306, 51116, 50730, 50306, 51116, 53717, 52816, 59012, 77349, 50993, 50458, 53717, 56047, 55283, 51264, 50730, 50308, 51264, 50730, 50308, 51264, 50461, 50723, 50307, 50811, 50799, 50723, 50280, 50824, 50729, 50280, 50824, 54140, 50366, 66543, 57030, 72009, 56111, 50723, 50305, 56733, 53132, 51419, 65829, 51419, 65829, 51419, 50424, 50723, 50304, 54107, 52690, 50810, 52303, 50839, 52303, 50862, 51465, 50822, 50723, 50302, 50839, 50723, 50299, 50866, 50723, 50302, 50977, 72009, 50978, 53717, 52816, 59992, 52945, 50978, 63514, 50978, 63514, 50978, 53717, 53115, 53391, 51189, 50723, 50287, 50824, 65621, 51189, 65621, 51189, 50729, 50287, 50824, 54140, 50366, 66543, 52772, 51465, 50854, 52690, 50844, 52303, 50839, 52303, 50862, 50723, 50302, 50839, 50723, 50299, 50987, 50723, 50302, 50977, 72009, 50977, 53717, 52816, 63653, 50723, 50304, 58268, 50723, 50303, 57303, 53565, 50866, 74489, 50866, 74489, 69941, 50723, 50300, 50881, 50565, 56772, 50723, 50301, 51300, 50799, 52689, 51307, 50723, 50285, 50824, 58202, 51307, 58202, 51307, 50729, 50285, 50824, 54140, 50366, 66543, 52712, 53985, 52644, 52945, 51742, 51410, 50810, 51303, 50854, 51476, 50857, 51249, 50844, 50723, 50304, 50987, 77349, 50866, 65167, 50977, 57619, 50987, 63514, 51742, 63514, 51742, 68150, 52644, 68150, 52644, 53717, 52816, 59880, 50723, 50302, 50881, 50565, 63122, 50723, 50303, 52952, 50723, 50292, 50824, 50723, 50304, 50824, 50729, 50292, 50824, 54140, 50366, 66543, 52772, 51303, 50833, 51249, 50942, 51476, 50844, 51410, 50855, 50723, 50304, 50987, 77349, 50937, 65167, 50937, 57619, 50977, 53717, 52816, 62705, 53717, 50891, 50799, 53565, 52311, 54911, 52311, 50723, 50285, 50824, 74489, 52311, 74489, 52311, 70826, 52311, 70826, 52311, 50729, 50285, 50824, 54140, 50366, 66543, 58646, 50723, 50310, 52630, 52571, 50839, 51303, 50942, 51651, 50978, 52571, 50810, 50723, 50303, 50839, 57964, 50823, 50723, 50303, 50866, 65167, 50977, 66964, 50978, 53717, 52816, 58779, 50723, 50310, 61964, 65167, 55996, 53717, 58286, 72009, 53663, 50723, 50291, 50824, 50729, 50291, 50824, 54140, 50366, 66543, 52772, 51303, 50833, 51651, 50854, 52571, 50839, 52571, 50854, 50723, 50303, 50839, 50723, 50303, 50977, 65167, 50937, 66964, 50977, 50723, 50307, 51072, 53717, 52816, 58229, 53985, 50839, 68150, 50839, 68150, 59617, 53132, 50835, 65829, 50835, 65829, 59842, 52945, 50829, 63514, 50829, 63514, 53017, 53391, 50820, 65621, 50820, 65621, 57620, 52689, 50834, 52888, 50834, 58202, 50834, 58202, 50834, 60231, 50834, 60231, 57029, 53274, 50839, 62829, 50839, 62829, 50378, 66543, 56047, 53686, 51351, 58771, 51351, 58771, 51351, 50460, 53391, 51313, 65621, 51313, 65621, 51313, 50461, 52888, 51108, 77349, 51029, 60231, 51108, 60231, 51108, 50799, 50723, 50287, 50824, 50729, 50287, 50824, 54140, 50366, 66543, 52712, 52888, 51452, 51231, 75630, 50822, 51410, 50829, 51410, 50857, 77349, 50829, 77349, 50987, 57964, 50866, 59659, 50978, 60231, 51452, 60231, 51452, 53717, 52816, 60155, 50723, 50305, 52726, 50723, 50304, 59009, 50723, 50303, 57485, 53717, 55799, 50723, 50302, 61546, 53686, 51127, 50723, 50294, 50824, 58771, 51127, 58771, 51127, 50729, 50294, 50824, 54140, 50366, 66543, 52772, 51231, 50812, 51410, 50834, 51410, 50841, 51414, 50810, 77349, 50834, 77349, 50937, 57964, 50917, 59659, 50866, 53717, 52816, 65170, 50723, 50302, 79263, 53717, 50891, 50799, 53274, 52071, 52689, 51991, 50723, 50280, 50824, 58202, 51991, 58202, 51991, 62829, 52071, 62829, 52071, 50729, 50280, 50824, 54140, 50366, 66543, 57030, 50723, 50303, 62601, 50723, 50304, 60625, 52690, 50810, 52303, 50839, 52303, 50862, 51465, 50822, 50723, 50302, 50839, 50723, 50299, 50866, 50723, 50302, 50977, 72009, 50978, 53717, 52816, 59992, 53717, 53115, 50723, 50287, 50824, 50729, 50287, 50824, 54140, 50366, 66543, 52772, 52303, 50839, 51465, 50854, 52690, 50844, 52303, 50862, 50723, 50302, 50839, 50723, 50299, 50987, 50723, 50302, 50977, 72009, 50977, 53717, 52816, 62705, 53717, 56772, 53391, 50943, 65621, 50943, 65621, 50943, 50799, 54669, 52644, 53132, 51363, 50723, 50283, 50824, 65829, 51363, 65829, 51363, 63104, 52644, 63104, 52644, 50729, 50283, 50824, 54140, 50366, 66543, 53868, 53132, 55844, 65829, 55844, 65829, 55844, 50426, 52102, 50862, 52102, 51047, 52303, 50857, 51231, 50844, 50723, 50305, 50823, 50723, 50302, 50987, 50723, 50305, 50977, 57964, 50987, 50723, 50305, 51047, 53717, 52816, 60155, 77349, 52119, 50723, 50307, 57485, 72009, 50881, 50565, 58286, 65167, 53925, 53391, 51605, 50723, 50290, 50824, 65621, 51605, 65621, 51605, 50729, 50290, 50824, 54140, 50366, 66543, 66424, 50723, 50310, 58348, 52102, 50833, 51231, 50942, 52303, 50844, 52102, 51127, 50723, 50302, 50987, 50723, 50305, 50937, 50723, 50305, 50937, 57964, 50977, 57964, 50824, 53717, 52816, 63569, 53717, 50891, 50799, 52109, 50834, 51825, 50829, 51981, 50835, 55386, 50829, 60530, 50987, 54978, 50978, 54067, 51058, 56841, 50978, 50723, 50283, 50824, 50729, 50283, 50824, 54140, 58200, 50374, 66543, 51423, 50422, 53717, 57818, 52102, 50839, 51231, 50978, 52102, 50854, 52303, 50810, 57964, 50823, 50723, 50302, 50866, 50723, 50305, 50977, 50723, 50305, 50977, 57964, 63658, 52816 ]

[ 0, 250, 15855, 2125, 19, 5175, 4785, 6, 42, 765, 2214, 7630, 6568, 10, 25306, 5466, 6, 29354, 15352, 30054, 33083, 19, 20292, 223, 34693, 6, 5542, 41, 28339, 50, 177, 12, 3341, 2749, 4, 20, 12280, 3275, 1725, 3109, 1239, 1312, 1289, 6, 24662, 149, 10, 33215, 13931, 9, 381, 401, 6, 163, 119, 6, 381, 401, 6, 83, 401, 6, 8, 211, 11, 5, 762, 9, 274, 10431, 3694, 6, 70, 25451, 23, 10, 7212, 20889, 8, 11, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 50420, 52573, 53591, 52740, 52580, 53322, 54889, 52740, 52739, 52573, 53720, 53322, 52788, 52740, 55608, 52049, 53086, 53322, 51172, 50453, 52242, 53176, 52049, 51172, 52177, 52797, 53004, 52242, 53591, 52049, 52580, 52242, 54889, 52740, 52739, 53322, 53720, 52049, 52788, 53322, 58867, 52242, 50827, 52573, 70591, 52797, 52989, 53634, 50827, 52740, 51006, 50453, 52797, 53176, 52242, 50827, 53322, 72486, 53634, 50827, 50799, 52797, 50827, 52049, 80256, 52044, 53004, 52740, 50827, 53634, 51172, 50423, 52242, 52580, 53322, 67012, 52416, 52739, 52797, 50827, 52044, 51172, 50435, 53322, 52788, 53324, 72927, 53731, 53086, 52416, 50827, 52242, 51199, 50447, 52044, 52989, 52416, 55371, 52797, 53176, 53634, 50827, 53324, 72486, 52044, 50827, 50799, 53634, 50827, 52242, 51309, 50417, 52416, 53004, 52044, 53591, 52740, 50827, 53634, 52580, 52044, 50827, 53322, 67012, 52242, 52739, 52797, 50827, 52573, 64945, 51975, 52788, 52797, 50827, 52049, 51309, 50441, 52044, 53086, 53634, 54043, 52573, 50827, 52797, 52989, 53634, 50827, 52740, 51006, 50453, 53324, 53176, 52242, 50827, 53882, 72486, 52797, 50827, 50799, 53322, 50827, 52242, 51283, 50417, 52049, 53004, 53322, 50827, 52044, 53591, 52740, 50827, 52416, 52580, 53731, 50827, 52573, 51309, 50429, 52416, 52739, 52044, 50827, 52797, 64945, 52573, 50827, 53731, 52788, 52416, 50827, 52242, 51309, 53634, 51309, 50441, 52205, 53086, 53731, 51172, 50447, 53249, 50827, 53634, 52989, 53895, 51309, 52044, 51309, 50453, 52662, 53176, 52205, 51172, 50459, 52797, 50827, 52044, 50827, 50799, 53634, 51199, 52416, 51199, 50417, 54081, 53004, 52662, 53591, 52205, 52580, 52662, 54889, 52416, 52739, 53731, 50827, 52242, 51006, 53634, 64945, 52205, 52788, 53731, 50827, 52573, 51006, 52044, 72927, 52205, 53086, 52662, 50827, 52740, 51006, 53634, 70591, 54081, 52989, 52662, 50827, 53322, 51006, 52044, 51006, 50453, 54066, 53176, 57557, 50827, 53324, 51006, 52416, 72486, 54081, 50827, 50799, 57557, 50827, 52242, 51006, 52416, 51381, 50417, 54081, 53004, 53249, 50827, 52662, 53591, 53895, 50827, 54073, 52580, 53882, 50827, 52662, 51627, 50429, 53895, 50827, 52044, 52739, 53249, 50827, 53634, 53720, 53882, 50827, 52416, 52788, 53895, 50827, 52044, 55608, 52573, 50827, 52797, 53086, 53882, 51172, 52416, 51172, 50447, 54073, 52989, 52662, 51309, 50453, 52740, 50827, 53634, 53176, 52573, 51172, 53731, 51199, 50459, 54073, 50827, 50799, 52662, 51309, 50417, 53322, 53004, 52740, 50827, 52797, 51381, 50423, 52573, 50827, 53731, 52580, 52740, 50827, 52205, 51627, 50429, 53895, 52739, 53882, 53720, 52573, 50827, 52797, 52788, 53882, 50827, 52242, 51627, 50441, 52740, 53086, 52573, 54043, 53882, 50827, 52342, 52989, 52573, 50827, 53731, 51627, 50453, 53249, 53176, 53895, 54529, 53882, 50827, 52242, 50827, 50799, 53895, 50827, 53324, 51627, 50417, 52573, 53004, 53882, 53591, 53895, 50827, 52895, 52580, 53882, 50827, 52416, 51381, 50429, 54769, 52739, 53296, 53720, 53895, 50827, 52049, 52788, 53296, 50827, 53322, 51283, 50441, 56280, 50827, 52443, 53086, 54769, 50827, 52797, 54043, 53296, 50827, 53634, 52989, 52044, 50827, 53895, 51309, 50453, 53634, 53176, 52797, 50827, 53324, 72486, 53895, 50827, 52044, 50827, 50799, 53634, 50827, 53322, 51309, 52443, 51309, 50417, 52416, 53004, 52044, 51172, 50423, 56280, 50827, 52443, 52580, 53029, 51309, 52797, 51309, 50429, 53731, 52739, 52416, 51172, 50435, 54769, 50827, 52797, 52788, 53249, 51309, 53634, 51199, 50441, 52205, 53086, 53731, 54043, 53882, 50827, 52416, 52989, 53731, 50827, 53296, 51006, 50453, 53634, 53176, 52044, 50827, 56280, 72486, 52416, 50827, 50799, 53895, 51309, 52044, 51680, 50417, 53634, 53004, 52797, 53591, 53882, 50827, 52443, 52580, 52797, 50827, 52573, 67012, 53322, 52739, 53324, 50827, 53895, 64945, 52242, 52788, 55342, 51309, 53324, 51680, 50441, 53731, 53086, 52416, 54043, 56280, 50827, 52044, 52989, 52416, 50827, 54769, 51006, 50453, 52797, 53176, 53634, 50827, 55342, 72486, 52044, 50827, 50799, 53249, 51309, 53634, 51680, 50417, 53882, 53004, 53322, 53591, 54769, 50827, 53324, 52580, 52242, 50827, 56280, 51309, 50429, 53324, 52739, 53322, 53720, 53322, 50827, 52242, 52788, 52292, 50827, 53324, 55608, 53882, 50827, 52797, 53086, 53322, 50827, 52242, 51172, 50447, 52740, 50827, 53634, 52989, 52573, 50827, 53731, 51309, 50453, 53882, 50827, 53634, 53176, 52573, 50827, 52797, 51172, 50459, 53895, 50827, 54073, 50827, 50799, 52342, 51006, 53882, 51309, 50417, 52044, 53004, 53634, 53591, 54769, 50827, 52797, 52580, 53634, 50827, 53571, 51006, 54073, 51381, 50429, 53324, 52739, 52242, 50827, 59040, 64945, 52797, 52788, 52242, 51309, 56280, 51680, 50441, 52342, 53086, 53731, 54043, 53882, 50827, 54073, 52989, 53731, 50827, 53334, 51006, 50453, 54081, 53176, 52662, 50827, 52292, 72486, 54073, 50827, 50799, 53322, 50827, 52662, 51680, 50417, 53324, 53004, 53322, 53591, 52292, 52580, 53322, 54889, 53882, 52739, 53334, 53720, 52740, 52788, 53334, 72927, 53382, 53086, 54081, 54043, 53322, 50827, 52662, 52989, 54081, 50827, 53334, 51006, 50453, 53731, 53176, 52205, 50827, 53895, 72486, 52662, 50827, 50799, 52740, 51309, 52205, 51680, 50417, 53731, 53004, 52416, 53591, 53895, 50827, 52895, 52580, 52416, 50827, 53029, 67012, 52797, 52739, 53634, 50827, 55342, 64945, 52044, 52788, 53249, 51309, 53634, 79869, 54081, 53086, 52662, 54043, 55342, 50827, 52205, 52989, 52662, 50827, 59040, 51006, 50453, 52416, 53176, 53731, 50827, 58739, 72486, 52205, 50827, 50799, 50657, 50282, 50827, 53731, 50827, 52044, 80256, 58739, 50827, 52205, 53004, 55061, 50827, 53731, 53591, 55342, 50827, 52416, 52580, 56280, 50827, 52044, 54889, 55342, 50827, 53634, 52739, 55061, 50827, 52797, 53720, 56280, 50827, 52242, 52788, 55342, 50827, 52049, 55608, 53029, 50827, 52797, 53086, 53634, 50827, 56280, 51172, 50447, 52416, 52989, 52242, 55371, 53249, 50827, 53634, 53176, 52895, 50827, 53029, 51172, 50459, 53731, 50827, 50799, 52416, 51627, 50417, 53895, 53004, 53249, 53591, 54769, 50827, 52797, 52580, 53249, 50827, 51975, 51627, 50429, 55342, 52739, 56280, 53720, 53029, 50827, 52416, 52788, 56280, 50827, 52044, 51627, 50441, 53249, 53086, 53029, 54043, 56280, 50827, 52443, 52989, 53029, 50827, 52797, 51627, 50453, 55061, 53176, 55342, 54529, 56280, 50827, 52044, 50827, 50799, 55342, 50827, 53634, 51627, 50417, 53029, 53004, 56280, 53591, 55342, 50827, 53324, 52580, 56280, 50827, 52242, 51283, 50429, 59040, 52739, 56495, 53720, 55342, 50827, 51975, 52788, 56495, 50827, 52797, 51199, 50441, 60730, 53086, 59040, 50827, 52049, 54043, 56495, 50827, 53322, 52989, 59040, 50827, 52740, 55371, 56280, 50827, 53334, 53176, 55342, 50827, 53882, 54529, 56495, 50827, 53895, 50827, 50799, 55342, 50827, 52049, 50827, 52797, 51199, 50417, 56280, 50827, 53322, 53004, 53029, 50827, 52740, 53591, 53249, 50827, 53334, 52580, 53029, 50827, 52740, 54889, 52550, 50827, 52242, 52739, 53895, 50827, 52049, 53720, 53249, 50827, 53322, 52788, 53895, 50827, 52049, 55608, 53882, 50827, 52205, 53086, 52573, 50827, 53731, 54043, 52740, 50827, 52416, 52989, 52573, 50827, 53731, 55371, 52049, 50827, 53634, 53176, 53322, 50827, 52044, 54529, 52740, 50827, 52416, 50827, 50799, 53322, 50827, 52044, 51283, 50417, 52573, 50827, 53731 ]

[ 0, 250, 8787, 5175, 19834, 2125, 11, 163, 428, 538, 6, 4246, 10, 13305, 14, 1974, 34879, 81, 10, 16331, 13931, 9, 12608, 119, 1176, 406, 6, 230, 119, 6, 8, 163, 428, 40286, 6, 2351, 10, 25306, 5466, 19, 10, 11739, 9, 2933, 8, 19448, 4785, 6, 70, 25451, 23, 41, 12447, 1001, 20889, 11, 204, 73, 306, 86, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 50450, 51062, 58305, 51081, 53820, 51147, 56569, 64075, 57739, 50931, 55126, 50956, 52511, 50319, 54335, 50861, 52216, 50319, 51318, 63931, 51166, 57267, 59837, 50630, 50956, 74337, 54323, 50861, 52216, 50328, 54771, 50630, 50876, 52511, 50323, 50905, 57739, 51081, 50981, 55961, 61390, 50965, 52511, 50324, 51310, 59409, 58087, 50965, 59388, 50630, 51081, 60094, 51432, 50447, 51062, 54004, 51081, 63552, 77765, 51147, 54194, 64075, 50876, 51166, 50459, 58398, 57923, 57933, 50630, 50997, 58309, 50630, 50871, 70358, 66312, 50965, 51166, 57019, 57997, 50997, 70358, 54058, 50871, 52216, 50319, 53586, 50629, 50965, 74056, 50892, 57739, 50902, 65910, 50981, 58097, 51074, 54439, 52216, 50319, 78819, 57648, 50906, 55659, 50861, 59388, 50631, 77213, 50956, 71106, 50999, 54004, 71593, 50861, 77765, 51081, 54194, 51147, 50844, 50906, 51166, 50459, 64075, 57739, 50965, 72895, 54644, 50876, 52858, 50321, 50981, 54439, 57123, 50630, 50906, 52858, 50319, 53913, 50630, 50965, 72895, 53999, 50876, 52858, 50321, 50981, 56415, 62524, 50630, 50965, 53186, 50318, 50892, 57739, 65473, 50861, 77418, 51333, 75536, 54351, 51001, 55266, 50902, 53450, 50630, 51001, 55730, 50931, 53193, 50951, 55167, 51147, 68522, 50631, 50438, 50999, 58935, 51081, 53103, 50999, 64661, 50631, 50447, 50630, 51081, 52843, 50631, 51062, 58229, 51081, 54424, 51147, 54678, 50630, 64075, 57739, 50965, 72895, 55689, 50876, 78063, 52688, 50861, 74056, 54342, 50906, 52858, 50319, 52718, 50965, 72895, 53999, 50876, 52858, 50321, 52985, 50871, 78063, 56711, 50965, 53186, 50318, 50838, 57923, 57348, 65768, 51330, 63766, 55266, 50951, 52654, 51147, 55730, 51081, 53911, 51062, 56529, 51146, 53415, 50630, 51405, 58935, 51339, 54207, 51487, 61094, 50631, 50447, 52128, 52848, 52052, 65601, 75617, 52052, 50800, 57739, 52052, 56931, 51741, 50326, 79767, 52128, 52910, 50956, 61271, 51487, 52446, 51487, 50805, 51176, 59242, 50630, 51147, 50854, 51339, 54276, 50630, 68278, 51405, 75161, 51097, 50452, 50630, 50453, 50630, 50455, 50630, 50456, 50629, 70892, 51146, 50854, 57739, 50951, 50805, 51405, 52864, 50630, 51197, 62658, 50630, 50422, 50630, 50423, 50630, 50424, 50630, 50425, 50630, 50426, 50630, 51026, 50822, 51001, 69012, 50630, 50428, 50629, 50429, 50629, 50430, 50629, 50431, 50629, 50432, 50629, 50997, 62886, 50629, 50434, 50629, 50435, 50629, 50436, 50629, 50437, 50629, 50438, 50629, 50956, 57105, 50630, 50876, 60201, 50906, 55162, 50965, 56573, 62007, 57739, 50871, 54177, 51197, 53186, 50307, 55191, 51026, 52858, 50307, 51637, 71288, 61449, 51026, 62523, 50630, 51197, 52858, 50319, 54323, 51026, 52858, 50318, 54509, 50629, 50997, 76830, 50974, 57739, 50906, 50995, 60284, 51387, 53523, 79670, 51679, 64551, 61449, 50630, 50900, 51166, 50441, 50876, 54478, 61801, 51050, 51387, 50447, 50902, 53567, 57947, 50900, 51432, 50453, 51001, 54622, 58254, 50956, 51387, 50459, 66735, 57739, 51001, 56115, 50876, 54448, 50631, 72372, 51027, 51432, 50423, 50931, 53450, 50631, 51062, 71974, 51166, 50429, 50999, 53627, 50631, 51405, 58963, 75256, 51146, 52599, 50631, 51405, 60692, 77131, 51146, 67157, 70873, 71214, 51027, 74590, 51081, 66270, 72408, 71717, 50900, 78983, 50631, 50951, 54424, 50931, 57035, 50972, 50458, 50630, 50459, 65559, 57739, 51001, 56624, 50629, 50902, 53004, 50630, 64413, 50997, 74525, 50931, 53220, 50899, 78063, 51108, 58783, 51387, 55898, 62523, 50997, 63050, 50630, 51487, 61895, 51387, 50453, 51339, 54194, 51405, 57035, 51697, 50459, 51146, 50844, 57739, 50956, 52104, 50328, 51295, 55961, 51697, 56040, 51432, 58783, 54126, 50325, 54137, 51081, 69662, 77131, 50630, 51339, 53103, 51430, 57035, 51166, 50447, 51339, 54004, 51487, 65860, 77765, 51339, 54194, 51405, 57035, 51166, 50459, 51146, 50844, 57739, 51062, 66966, 63922, 50630, 50871, 53186, 50328, 51003, 56040, 57123, 50871, 53186, 50325, 54137, 51081, 62963, 74243, 50630, 51339, 53103, 51430, 57035, 71106, 51339, 54004, 51487, 65860, 77765, 51339, 52863, 51405, 57035, 67273, 51146, 50844, 57739, 50956, 51853, 50330, 55689, 50861, 52216, 50328, 53172, 50956, 55378, 50861, 52216, 50328, 53264, 50916, 52104, 50328, 55322, 50861, 52216, 50326, 53562, 50916, 57092, 50631, 50861, 52104, 50326, 50845, 58479, 60263, 70544, 51081, 53066, 50999, 54347, 50931, 52654, 75490, 50861, 50981, 50429, 51062, 52658, 51081, 56529, 50931, 52729, 71214, 50877, 77052, 51146, 54746, 51062, 55590, 50931, 52843, 51146, 59473, 65421, 51405, 53920, 51146, 54421, 70892, 57739, 51405, 73624, 54644, 51405, 78858, 52688, 50877, 54342, 50630, 78980, 50931, 52718, 50906, 51644, 50331, 51918, 71216, 50931, 52985, 51062, 70978, 54509, 76533, 50931, 50974, 54458, 50999, 61980, 70544, 50931, 53932, 51430, 54588, 51339, 53049, 51081, 70978, 50981, 50429, 50931, 53627, 51430, 55098, 51339, 54181, 71214, 50877, 63939, 50931, 52597, 51430, 54672, 51339, 53639, 51146, 59123, 65421, 50931, 52955, 51430, 54421, 51339, 50833, 57739, 60256, 51405, 58481, 50931, 55869, 69128, 51405, 52296, 50931, 54325, 50877, 58519, 50931, 55100, 51146, 70197, 63163, 51062, 54350, 51220, 63144, 66186, 51062, 52781, 68573, 51405, 60132, 50931, 54947, 69128, 51146, 54672, 50931, 54823, 60192, 51062, 55874, 50968, 55162, 69017, 51081, 56054, 77936, 54458, 50999, 58963, 79018, 51097, 50417, 51339, 53066, 51062, 55797, 50999, 52654, 50931, 56274, 50876, 52658, 50631, 50877, 60733, 50631, 50434, 50630, 50435, 50630, 50871, 62903, 50630, 50437, 50630, 50438, 50630, 51247, 51458, 50297, 50873, 57739, 74228, 50906, 51115, 50902, 51115, 50931, 51115, 51234, 51145, 50997, 51145, 50432, 50951, 57455, 50931, 54793, 51001, 54478, 50902, 54823, 50876, 55162, 70181, 57739, 50906, 54177, 50629, 50951, 58069, 50906, 51295, 50951, 51295, 51197, 51145, 50956, 51145, 50427, 50630, 50444, 50630, 50931, 55437, 50999, 58754, 69173, 51081, 50972, 54458, 51081, 63784, 73336, 52011, 50420, 50630, 50876, 51108, 53645, 52011, 63975, 54938, 50631, 51081, 63784, 73336, 76733, 50630, 50876, 51108, 56415, 80076, 50902, 50972, 54594, 53126, 50321, 73318, 50630, 50426, 50630, 50931, 62055, 52025, 50428, 51001, 61660, 50931, 66059, 51001, 55286, 50931, 64248, 51001, 57039, 50902, 63123, 51001, 54927, 58254, 50906, 52025, 50444, 50630, 50902, 55437, 51001, 53581, 50931, 50972, 57739, 51114, 55041, 50630, 51197, 74337, 51108, 56947, 57524, 50631, 66735, 50900, 75256, 51001, 54793, 50630, 50902, 60420, 63236, 50876, 55437, 50902, 53581, 51001, 50972, 57739, 50951, 55126, 50630, 51120, 74056, 60184, 51050, 57524, 50631, 51001, 50851, 50997, 72324, 50902, 53269, 50630, 50876, 58754, 63236, 50906, 55437, 50876, 53581, 50902, 50972, 57739, 50931, 61875, 74606, 50630, 51001, 51108, 57025, 51466, 59409, 54938, 50630, 51001, 51644, 50302, 77074, 50630, 50902, 58959, 51026, 80076, 50906, 50972, 57739, 60124, 51050, 51333, 50417, 50906, 54711, 50877, 55054, 50906, 54325, 50630, 50968, 58519, 50931, 54150, 50968, 55270, 50931, 53269, 51050, 50851, 50871, 66977, 51026, 54947, 51197, 55854, 51050, 54823, 50631, 51120, 62970, 50630, 50452, 50630, 50453, 50630, 51197, 50912, 50454, 50630, 50455, 50630, 50456, 50630, 51085, 63652, 50630, 50458, 50630, 50459, 50630, 51120, 74373, 50630, 50461, 50630, 57739, 51234, 61739, 51115, 50931, 51115 ]

[ 0, 713, 765, 5175, 2214, 11, 230, 538, 16, 10, 28252, 9, 1007, 6, 19, 10, 13305, 981, 5, 1427, 23, 10, 21786, 154, 27841, 3006, 11332, 20889, 4, 20, 231, 73, 306, 86, 6543, 3639, 41, 22438, 27456, 6, 150, 5, 33215, 16739, 9, 211, 119, 401, 6, 15312, 757, 6, 230, 10431, 119, 6, 3676, 6, 8, 230, 10431, 119, 17992, 7, 5, 2125, 18, 15352, 30054, 8, 2829, 2933, 223, 34693, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54838, 50650, 50462, 52785, 50865, 51876, 50936, 51144, 53380, 50474, 52785, 50924, 51876, 51030, 54838, 52785, 50948, 51876, 60445, 52785, 50936, 51876, 72547, 52785, 51030, 51876, 54554, 52785, 51021, 51876, 50860, 76011, 51429, 50948, 50462, 52785, 51021, 51876, 50860, 76011, 51429, 50936, 50474, 52785, 51045, 51876, 50823, 51144, 50952, 51429, 51033, 54838, 50650, 58001, 50802, 52533, 50802, 51099, 54226, 56686, 50802, 53483, 52038, 53366, 50860, 51869, 50860, 51099, 52030, 51099, 50923, 51275, 52313, 51099, 52175, 53366, 50923, 51869, 50802, 51099, 50923, 51275, 52325, 52537, 50923, 51708, 74151, 67796, 53038, 51021, 51706, 50860, 51308, 50860, 50474, 51232, 50923, 51099, 79595, 51308, 50802, 54838, 51232, 50824, 51099, 54107, 51232, 50923, 51308, 52030, 51099, 50923, 51777, 52313, 51099, 52175, 51099, 51054, 51777, 74781, 51099, 51054, 51777, 66396, 51232, 50923, 51099, 79595, 51099, 50802, 54838, 58001, 51012, 52533, 50802, 51099, 54226, 56686, 50923, 53483, 52038, 53366, 51021, 51869, 50860, 51099, 52030, 51099, 50923, 51275, 52313, 51099, 52175, 53366, 50923, 51869, 50802, 51099, 50923, 51275, 52325, 52537, 50923, 51708, 74151, 67796, 53038, 51021, 51706, 50860, 51308, 50860, 50474, 51232, 50923, 51099, 79595, 51308, 50802, 54838, 51232, 50824, 51099, 54107, 51232, 50923, 51308, 52030, 51099, 50923, 51777, 52313, 51099, 52175, 51099, 51054, 51777, 74781, 51099, 51054, 51777, 66396, 51232, 50923, 51099, 79595, 51099, 50802, 54838, 56686, 51012, 53483, 50802, 51494, 54226, 54733, 50923, 52477, 52038, 52537, 51021, 51708, 50860, 51119, 52030, 51119, 50923, 51777, 52313, 51119, 52175, 52537, 50923, 51708, 74151, 50923, 51777, 52325, 52649, 50923, 52040, 74217, 67796, 51964, 51021, 51280, 50860, 51153, 50860, 50474, 51232, 50923, 51119, 79595, 51119, 50802, 54838, 51561, 50824, 51119, 54107, 51561, 50923, 51119, 52030, 51119, 50923, 51153, 52313, 51119, 52175, 51119, 50824, 51153, 74781, 51512, 51054, 51153, 66396, 51561, 50923, 51119, 79595, 51119, 50802, 54838, 56686, 51012, 53483, 50802, 51494, 54226, 54733, 50923, 52477, 52038, 52537, 51021, 51708, 50860, 51119, 52030, 51119, 50923, 51777, 52313, 51119, 52175, 52537, 50923, 51708, 74151, 50923, 51777, 52325, 52649, 50923, 52040, 74217, 67796, 51964, 51021, 51280, 50860, 51153, 50860, 50474, 51232, 50923, 51119, 79595, 51119, 50802, 54838, 51561, 50824, 51119, 54107, 51561, 50923, 51119, 52030, 51119, 50923, 51153, 52313, 51119, 52175, 51119, 50824, 51153, 74781, 51512, 51054, 51153, 66396, 51561, 50923, 51119, 79595, 51119, 50802, 54838, 58001, 51012, 52533, 50802, 51099, 54226, 56686, 50923, 53483, 52038, 53366, 51021, 51869, 50860, 51099, 52030, 51099, 50923, 51275, 52313, 51099, 52175, 53366, 50923, 51869, 50802, 51099, 50923, 51275, 52325, 52537, 50923, 51708, 74151, 67796, 53038, 51021, 51706, 50860, 51308, 50860, 50474, 51232, 50923, 51099, 79595, 51308, 50802, 54838, 51232, 50824, 51099, 54107, 51232, 50923, 51308, 52030, 51099, 50923, 51777, 52313, 51099, 52175, 51099, 51054, 51777, 74781, 51099, 51054, 51777, 66396, 51232, 50923, 51099, 79595, 51099, 50802, 54838, 58001, 51012, 52533, 50802, 51099, 54226, 56686, 50923, 53483, 52038, 53366, 51021, 51869, 50860, 51099, 52030, 51099, 50923, 51275, 52313, 51099, 52175, 53366, 50923, 51869, 50802, 51099, 50923, 51275, 52325, 52537, 50923, 51708, 74151, 67796, 53038, 51021, 51706, 50860, 51308, 50860, 50474, 51232, 50923, 51099, 79595, 51308, 50802, 54838, 51232, 50824, 51099, 54107, 51232, 50923, 51308, 52030, 51099, 50923, 51777, 52313, 51099, 52175, 51099, 51054, 51777, 74781, 51099, 51054, 51777, 66396, 51232, 50923, 51099, 79595, 51099, 50802, 54838, 56686, 51012, 53483, 50802, 51494, 54226, 54733, 50923, 52477, 52038, 52537, 51021, 51708, 50860, 51119, 52030, 51119, 50923, 51777, 52313, 51119, 52175, 52537, 50923, 51708, 74151, 50923, 51777, 52325, 52649, 50923, 52040, 74217, 67796, 51964, 51021, 51280, 50860, 51153, 50860, 50474, 51232, 50923, 51119, 79595, 51119, 50802, 54838, 51561, 50824, 51119, 54107, 51561, 50923, 51119, 52030, 51119, 50923, 51153, 52313, 51119, 52175, 51119, 50824, 51153, 74781, 51512, 51054, 51153, 66396, 51561, 50923, 51119, 79595, 51119, 50802, 54838, 56686, 51012, 53483, 50802, 51494, 54226, 54733, 50923, 52477, 52038, 52537, 51021, 51708, 50860, 51119, 52030, 51119, 50923, 51777, 52313, 51119, 52175, 52537, 50923, 51708, 74151, 50923, 51777, 52325, 52649, 50923, 52040, 74217, 67796, 51964, 51021, 51280, 50860, 51153, 50860, 50474, 51232, 50923, 51119, 79595, 51119, 50802, 54838, 51561, 50824, 51119, 54107, 51561, 50923, 51119, 52030, 51119, 50923, 51153, 52313, 51119, 52175, 51119, 50824, 51153, 74781, 51512, 51054, 51153, 66396, 51561, 50923, 51119, 79595, 51119, 50802, 54838, 50650, 58001, 50802, 52533, 50802, 51099, 54226, 56686, 50802, 53483, 52038, 53366, 50860, 51869, 50860, 51099, 52030, 51099, 50923, 51275, 52313, 51099, 52175, 53366, 50923, 51869, 50802, 51099, 50923, 51275, 52325, 52537, 50923, 51708, 74151, 67796, 53038, 51021, 51706, 50860, 51308, 50860, 50474, 51232, 50923, 51099, 79595, 51308, 50802, 54838, 51232, 50824, 51099, 54107, 51232, 50923, 51308, 52030, 51099, 50923, 51777, 52313, 51099, 52175, 51099, 51054, 51777, 74781, 51099, 51054, 51777, 66396, 51232, 50923, 51099, 79595, 51099, 50802, 54838, 58001, 51012, 52533, 50802, 51099, 54226, 56686, 50923, 53483, 52038, 53366, 51021, 51869, 50860, 51099, 52030, 51099, 50923, 51275, 52313, 51099, 52175, 53366, 50923, 51869, 50802, 51099, 50923, 51275, 52325, 52537, 50923, 51708, 74151, 67796, 53038, 51021, 51706, 50860, 51308, 50860, 50474, 51232, 50923, 51099, 79595, 51308, 50802, 54838, 51232, 50824, 51099, 54107, 51232, 50923, 51308, 52030, 51099, 50923, 51777, 52313, 51099, 52175, 51099, 51054, 51777, 74781, 51099, 51054, 51777, 66396, 51232, 50923, 51099, 79595, 51099, 50802, 54838, 56686, 51012, 53483, 50802, 51494, 54226, 54733, 50923, 52477, 52038, 52537, 51021, 51708, 50860, 51119, 52030, 51119, 50923, 51777, 52313, 51119, 52175, 52537, 50923, 51708, 74151, 50923, 51777, 52325, 52649, 50923, 52040, 74217, 67796, 51964, 51021, 51280, 50860, 51153, 50860, 50474, 51232, 50923, 51119, 79595, 51119, 50802, 54838, 51561, 50824, 51119, 54107, 51561, 50923, 51119, 52030, 51119, 50923, 51153, 52313, 51119, 52175, 51119, 50824, 51153, 74781, 51512, 51054, 51153, 66396, 51561, 50923, 51119, 79595, 51119, 50802, 54838, 56686, 51012, 53483, 50802, 51494, 54226, 54733, 50923, 52477, 52038, 52537, 51021, 51708, 50860, 51119, 52030, 51119, 50923, 51777, 52313, 51119, 52175, 52537, 50923, 51708, 74151, 50923, 51777, 52325, 52649, 50923, 52040, 74217, 67796, 51964, 51021, 51280, 50860, 51153, 50860, 50474, 51232, 50923, 51119, 79595, 51119, 50802, 54838, 51561, 50824, 51119, 54107, 51561, 50923, 51119, 52030, 51119, 50923, 51153, 52313, 51119, 52175, 51119, 50824, 51153, 74781, 51512, 51054, 51153, 66396, 51561, 50923, 51119, 79595, 51119, 50802, 54838, 58001, 51012, 52533, 50802, 51099, 54226, 56686, 50923, 53483, 52038, 53366, 51021, 51869, 50860, 51099, 52030, 51099, 50923, 51275, 52313, 51099, 52175, 53366, 50923, 51869, 50802, 51099, 50923, 51275, 52325, 52537, 50923, 51708, 74151, 67796, 53038, 51021, 51706, 50860, 51308 ]

[ 0, 250, 20902, 8, 15352, 30054, 14123, 3495, 8, 11057, 24904, 2125, 6, 4246, 21979, 8669, 6, 31391, 1672, 9590, 6, 13305, 6, 38668, 11212, 6, 8, 21072, 6, 70, 447, 561, 7, 1045, 10, 32076, 8, 17627, 17274, 5466, 4, 8504, 11, 5, 762, 9, 83, 3694, 19, 10, 182, 1769, 20889, 6, 42, 2214, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 6, 442, 24, 41, 5631, 2031, 13, 2365, 50, 3618, 930, 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 ]

[ 50799, 50649, 50447, 52387, 51346, 76139, 51492, 50415, 51416, 51091, 51311, 51161, 50998, 51161, 50929, 51161, 51067, 51161, 52095, 52054, 51740, 59268, 77083, 54976, 56683, 50421, 78701, 56205, 72739, 50856, 59268, 53611, 54419, 60093, 54144, 58493, 50822, 78701, 53821, 74578, 52993, 50991, 63170, 59268, 53611, 56683, 50445, 78701, 56205, 79616, 51137, 51095, 50856, 53611, 54419, 64801, 50801, 50822, 66707, 52085, 53821, 50907, 51601, 51416, 51091, 51725, 51692, 51131, 51518, 50986, 51518, 50998, 51518, 50929, 51518, 63170, 53611, 56683, 50421, 78701, 56205, 72739, 50856, 53611, 54419, 60093, 54144, 58493, 50822, 78701, 53821, 74578, 52993, 50991, 63170, 53611, 56683, 50445, 78701, 56205, 79616, 51137, 51095, 50856, 53611, 54419, 64801, 50801, 50822, 78701, 53821, 50907, 51601, 51416, 51091, 51311, 51161, 50998, 51161, 50929, 51161, 51067, 51161, 63170, 59268, 53611, 56683, 50421, 78701, 56205, 72739, 51992, 65056, 59268, 53611, 54419, 60093, 51137, 64286, 50822, 78701, 53821, 74578, 51992, 51121, 63170, 59268, 53611, 56683, 50445, 78701, 56205, 79616, 51416, 51158, 50856, 53611, 54419, 76960, 51971, 50937, 50457, 50801, 50822, 66707, 52085, 53821, 50907, 51601, 51349, 51091, 51131, 51692, 50986, 51518, 50998, 51518, 50929, 51518, 51076, 51518, 63170, 59268, 53611, 56683, 50416, 51971, 73555, 78701, 56205, 72739, 50856, 53611, 54419, 56739, 51760, 51254, 50433, 52584, 58493, 50822, 66707, 69369, 74578, 52474, 50991, 63170, 53611, 52542, 52831, 51760, 68711, 78701, 56205, 79616, 51374, 51095, 50856, 59268, 69838, 76960, 51756, 50977, 50457, 50801, 50822, 78701, 53821, 57467, 51760, 52024, 51601, 51181, 51091, 50960, 51161, 50970, 51161, 50947, 51161, 57713, 53507, 53611, 56683, 50421, 78701, 56205, 50907, 57773, 53507, 53611, 54419, 60093, 51910, 58493, 50822, 78701, 53821, 74578, 51349, 50991, 63170, 53611, 56683, 64614, 50812, 78701, 56205, 79616, 51844, 51095, 50856, 53611, 54419, 64801, 61237, 51049, 55641, 53821, 50907, 51601, 51181, 51091, 50960, 51161, 50970, 51161, 51064, 51161, 51067, 51161, 63170, 53611, 56683, 50421, 78701, 56205, 72739, 50856, 53611, 54419, 66142, 52365, 51252, 50433, 51910, 58493, 50822, 51248, 50792, 50596, 52085, 53821, 74578, 51526, 50991, 63170, 77083, 54976, 56683, 50445, 78701, 56205, 79616, 51727, 51095, 50856, 53611, 54419, 65732, 52365, 51252, 50457, 50801, 50822, 51248, 50792, 50596, 53189, 53821, 50907, 51601, 51181, 51364, 51311, 51161, 50970, 51161, 50947, 51161, 51067, 51161, 63170, 59268, 53611, 56683, 50421, 78701, 56205, 72739, 50856, 59268, 53611, 54419, 73881, 51992, 50917, 50433, 51349, 55944, 50822, 78701, 53821, 74578, 51684, 51377, 51992, 50849, 63170, 59268, 53611, 56683, 50445, 78701, 56205, 79616, 51349, 50830, 51971, 60716, 53611, 54419, 64801, 50801, 50822, 66707, 52085, 53821, 50907, 51601, 51181, 51675, 51444, 51692, 50960, 51518, 50970, 51518, 51064, 51518, 51067, 51518, 63170, 53611, 56683, 50416, 51971, 51100, 50421, 78701, 56205, 72739, 51760, 56255, 53611, 54419, 60093, 50801, 50822, 78701, 53821, 74578, 51526, 50983, 63170, 53611, 56683, 50440, 51760, 68711, 78701, 56205, 79616, 51756, 66001, 53611, 54419, 64801, 51533, 59597, 50822, 78701, 53821, 57467, 51760, 52024, 51601, 51181, 51413, 63170, 53611, 56683, 50416, 50947, 50917, 63557, 69463, 50421, 78701, 56205, 72739, 50960, 64709, 59268, 53611, 54419, 73881, 51064, 50897, 50970, 51051, 50433, 51349, 51446, 50801, 50822, 78701, 53821, 74578, 63170, 53611, 56683, 50440, 50960, 51025, 50970, 51172, 51076, 51095, 50445, 66707, 53611, 56205, 79616, 51533, 61965, 53611, 54419, 64801, 50801, 50822, 78701, 53821, 50907, 51601, 51181, 51091, 50960, 51353, 50970, 51151, 63170, 53611, 56683, 50421, 78701, 56205, 72739, 50856, 53611, 54419, 66142, 52365, 51252, 50433, 51727, 64286, 50822, 51248, 50792, 50596, 52085, 53821, 74578, 63170, 77083, 54976, 56683, 50445, 66703, 53019, 50812, 78701, 56205, 79616, 51181, 51158, 50856, 53611, 54419, 65732, 52365, 51252, 50457, 50801, 50822, 51248, 50792, 50596, 53189, 53821, 50907, 51601, 51181, 51364, 51311, 51016, 50960, 51016, 50970, 51016, 50947, 51016, 57713, 53507, 53611, 56683, 50421, 78701, 56205, 72739, 51992, 57370, 53507, 53611, 54419, 60093, 51349, 50845, 51311, 50914, 50960, 50914, 76079, 50947, 58307, 50822, 78701, 53821, 74578, 51684, 51377, 51992, 50849, 63170, 53611, 56683, 50442, 52365, 51252, 50445, 51248, 50792, 50596, 52085, 56205, 79616, 51349, 50830, 51311, 51162, 50960, 51162, 50970, 51162, 50947, 51162, 51971, 66001, 53611, 54419, 64801, 61237, 51049, 53701, 50596, 52085, 53821, 50907, 51601, 51137, 51364, 51311, 51016, 50970, 51016, 50947, 51016, 51292, 51016, 51971, 50805, 63170, 53611, 56683, 50421, 78701, 56205, 72739, 50856, 53611, 54419, 73881, 51760, 75343, 52365, 51252, 50433, 51684, 50845, 51311, 50914, 76079, 72588, 51292, 58307, 50822, 51248, 50792, 50596, 52085, 53821, 74578, 52993, 51377, 63170, 77083, 54976, 56683, 50440, 51760, 68711, 78701, 56205, 79616, 51684, 50830, 51311, 51162, 50970, 51162, 50947, 51162, 51292, 51162, 51756, 60716, 53611, 54419, 65732, 52365, 51252, 50457, 50801, 50822, 51248, 50792, 50596, 53189, 53821, 50907, 51601, 51338, 51077, 57713, 53507, 53611, 56683, 50416, 70497, 50998, 50978, 66694, 51971, 54454, 50421, 78701, 56205, 72739, 50986, 60054, 53507, 53611, 54419, 73881, 71590, 51169, 50940, 50433, 50801, 50822, 78701, 53821, 74578, 51137, 51343, 63170, 53611, 56683, 50440, 68657, 50998, 51006, 50947, 50917, 50442, 52365, 51252, 50445, 51248, 50792, 50596, 52085, 56205, 79616, 50856, 53611, 54419, 64801, 51338, 52282, 61237, 51049, 53701, 50596, 52085, 53821, 72740, 50998, 51058, 50986, 50942, 50929, 50940, 51601, 63170, 59268, 53611, 56683, 50421, 78701, 56205, 56237, 68583, 51169, 50830, 68657, 80211, 53611, 54419, 60093, 51137, 53287, 50822, 66707, 69369, 76969, 70590, 50947, 50940, 50986, 68099, 51137, 50925, 63170, 53611, 56683, 50440, 52721, 51294, 50441, 63896, 68242, 50442, 50947, 66353, 78701, 56205, 79616, 51137, 51286, 50856, 59268, 69838, 64801, 52213, 53090, 50801, 50822, 78701, 53821, 50907, 51601, 51181, 51343, 50986, 51016, 50970, 51016, 50947, 51016, 51292, 51016, 57713, 53507, 53611, 56683, 50421, 78701, 56205, 50907, 57773, 53507, 53611, 54419, 60093, 51132, 51362, 76081, 76079, 72588, 51292, 58307, 50822, 78701, 53821, 74578, 63170, 53611, 56683, 50442, 52365, 51252, 50445, 51248, 50792, 50596, 52085, 56205, 79616, 51349, 51048, 50986, 51162, 50970, 51162, 50947, 51162, 51292, 51162, 50856, 53611, 54419, 64801, 61237, 51049, 53701, 50596, 52085, 53821, 50907, 51601, 51137, 51364, 51311, 51161, 50970, 51161, 50947, 51161, 51292, 51161, 63170, 59268, 53611, 56683, 50421, 78701, 56205, 72739, 50856, 53611, 54419, 60093, 51684, 55944, 50822, 66707, 69369, 74578, 52993, 51377, 63170, 53611, 56683, 50440, 52721, 51091, 50445, 78701, 56205, 79616, 51684, 55941, 59268, 69838, 64801, 50801, 50822, 78701, 53821, 50907, 51601, 51416, 51091, 51131, 51353, 50986, 51353, 50998, 51151, 57713, 53507, 53611, 56683, 50416, 51971, 50889, 50421, 78701, 56205, 50907, 57773, 53507, 53611, 54419, 60093, 54144, 58493, 50822, 78701, 53821, 74578, 52993, 50991, 63170, 53611, 52542, 52831, 51971, 51091, 50442, 52365, 51252 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 2214, 19, 25771, 4785, 6, 4246, 3459, 9590, 6, 13305, 6, 32909, 6, 21677, 32909, 6, 8, 81, 9756, 8669, 4, 20, 2125, 16, 11, 5, 762, 9, 2060, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 3136, 23, 41, 178, 5285, 20889, 4, 20, 33215, 16739, 9, 12608, 6, 163, 428, 6, 230, 10431, 119, 1176, 406, 6, 8, 2060, 3639, 7, 5, 2214, 18, 34384, 1722, 8, 2829, 2933, 5466, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 50796, 51755, 51467, 64956, 53045, 50828, 71172, 52823, 50373, 52852, 50846, 51361, 53107, 59131, 51170, 50373, 53967, 50825, 51570, 56233, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51170, 55756, 50374, 53967, 57536, 52321, 53107, 52772, 52232, 50820, 52856, 54898, 51139, 53268, 51746, 50820, 52232, 51013, 51970, 51755, 51467, 64956, 53045, 50828, 71172, 52823, 50373, 52852, 50846, 51361, 53107, 59131, 51170, 50373, 53967, 52742, 52074, 50879, 51718, 51087, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51170, 55756, 50374, 53967, 57536, 51746, 53841, 51139, 53107, 50835, 51899, 51139, 53268, 52232, 51013, 51970, 50460, 71973, 51755, 51467, 53227, 51746, 50887, 62023, 52905, 52074, 50924, 54680, 52823, 50373, 52852, 52927, 52074, 51013, 69477, 59131, 51170, 50373, 53967, 50825, 51570, 56233, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51170, 55756, 50374, 53967, 57536, 51823, 50952, 52321, 53107, 52772, 51856, 50879, 54680, 53268, 51943, 56946, 52348, 62107, 50804, 50908, 54124, 50928, 52198, 50928, 55985, 50982, 56483, 50982, 51755, 51467, 53227, 51499, 50859, 62023, 50828, 71172, 52823, 50373, 52852, 50846, 51361, 53107, 59131, 51170, 50373, 53967, 57514, 51096, 52445, 50438, 51213, 65417, 51087, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51170, 55756, 50374, 53967, 57536, 52321, 53107, 58145, 51228, 52445, 50450, 51325, 55071, 51139, 64382, 51796, 51097, 51453, 59789, 71973, 50799, 77879, 52074, 50890, 51593, 50940, 51687, 51358, 51651, 51358, 51414, 51358, 51629, 51293, 51394, 51293, 51811, 51293, 54052, 64173, 51856, 63059, 53045, 59095, 51856, 52905, 52074, 50921, 51593, 50952, 52856, 50940, 54680, 52823, 50373, 52852, 59971, 51856, 50828, 51361, 53107, 59131, 51856, 56233, 50373, 53967, 52742, 52074, 50887, 51593, 50808, 52106, 50859, 51718, 51087, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51856, 56455, 55756, 50374, 53967, 57536, 51687, 50830, 52321, 53107, 52772, 51687, 50795, 51651, 50795, 51327, 53373, 51139, 53268, 51303, 51036, 51231, 51036, 51414, 51036, 51970, 51755, 51467, 53227, 51245, 50818, 51839, 50884, 52856, 51139, 53045, 59095, 51245, 72217, 52966, 51245, 50809, 51839, 50808, 52856, 55976, 51139, 52823, 50373, 52852, 59971, 51245, 50841, 51839, 50837, 52856, 72217, 50928, 51361, 53107, 59131, 51245, 50378, 54130, 58340, 50373, 53967, 52742, 51245, 50887, 51839, 50808, 52856, 50880, 51641, 51235, 57464, 51124, 51718, 51087, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51245, 50840, 51839, 50825, 52106, 50384, 55421, 50363, 51087, 55756, 50374, 53967, 57536, 52321, 53107, 54492, 51485, 50895, 56033, 59698, 51245, 50835, 52061, 50895, 58505, 50380, 54130, 51306, 50449, 51431, 50895, 56084, 53035, 75358, 51839, 50800, 52106, 50858, 51723, 51073, 57645, 50914, 54680, 59617, 51245, 50818, 51839, 50825, 52106, 72217, 52445, 51453, 59789, 51245, 50846, 51839, 50834, 52106, 50381, 54130, 67851, 50835, 50799, 51943, 50809, 51497, 50890, 51839, 50836, 52211, 51933, 51509, 51933, 56290, 51486, 52102, 51790, 51303, 51358, 51651, 51742, 51414, 51623, 51629, 51293, 51394, 51293, 51811, 51293, 54052, 64173, 51943, 63059, 53045, 59095, 51943, 52872, 51497, 50836, 52074, 50809, 52232, 54898, 51139, 52823, 50373, 52852, 59971, 51497, 80029, 53107, 59131, 51497, 55263, 50373, 53967, 52742, 51497, 50855, 52074, 50887, 52856, 51594, 56233, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51497, 56455, 55756, 50374, 53967, 57536, 52102, 50952, 52321, 53107, 52772, 52102, 53753, 51303, 54454, 51414, 50924, 54680, 53268, 51651, 51264, 50804, 52348, 62107, 50804, 50908, 54124, 50928, 52198, 50928, 55985, 50982, 56483, 50982, 51755, 51467, 64173, 51497, 50834, 52074, 50818, 52232, 52628, 51497, 51750, 53045, 59095, 52164, 52966, 51497, 50825, 52074, 50840, 52232, 55960, 51139, 52823, 50373, 52852, 59971, 51497, 50376, 54130, 50928, 51361, 53107, 59131, 51497, 50369, 54130, 58340, 50373, 53967, 52742, 51497, 50857, 52074, 50836, 52232, 50887, 51718, 51087, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51497, 50376, 54130, 50363, 51087, 55756, 50374, 53967, 57536, 52321, 53107, 60411, 51497, 50373, 54130, 58547, 51497, 50825, 52074, 50840, 52856, 50880, 53709, 51010, 57464, 50942, 54680, 59617, 51497, 50820, 52334, 50895, 56290, 50378, 55421, 52445, 50456, 52211, 50811, 62337, 50862, 51970, 50460, 52039, 50811, 57696, 50378, 55421, 67851, 50835, 50799, 77879, 52074, 50890, 51593, 50940, 51687, 51991, 51651, 51605, 51414, 51991, 51327, 51605, 51629, 51293, 51394, 51293, 51811, 51293, 54052, 64173, 51856, 50841, 51723, 50930, 60477, 64956, 53045, 59095, 51856, 50828, 53709, 51010, 57464, 53901, 52074, 50921, 51593, 50952, 52856, 50940, 54680, 52823, 50373, 52852, 59971, 51856, 50828, 51361, 53107, 59131, 51856, 56233, 50373, 53967, 52742, 52074, 50808, 51593, 50887, 53468, 50859, 51718, 51087, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51856, 56455, 55756, 50374, 53967, 57536, 52321, 53107, 50835, 51899, 78988, 80075, 66513, 52536, 51231, 52392, 51414, 51605, 54052, 53227, 51245, 50818, 51839, 50884, 52856, 51139, 53045, 59095, 51245, 72217, 52966, 51245, 50809, 51839, 50808, 52856, 55976, 51139, 52823, 50373, 52852, 59971, 51245, 50841, 51839, 50837, 52856, 72217, 50928, 51361, 53107, 59131, 51245, 50378, 54130, 58340, 50373, 53967, 52742, 51245, 50887, 51839, 50808, 52856, 50880, 52211, 50803, 62337, 51049, 56233, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51245, 50840, 51839, 50825, 52106, 50890, 51723, 50962, 60477, 50383, 55421, 50363, 51087, 55756, 50374, 53967, 57536, 52303, 51141, 52321, 53107, 60411, 51245, 50835, 79215, 61933, 72089, 58547, 75358, 51839, 50800, 52106, 55508, 51139, 59617, 51245, 50818, 51839, 50825, 52106, 50818, 52061, 50811, 50710, 50329, 72089, 52445, 51453, 59789, 51245, 50846, 51839, 50834, 52106, 50846, 51723, 51573, 51641, 51226, 50710, 50331, 51141, 52164, 67851, 50835, 50799, 51943, 50809, 51497, 50890, 51839, 50836, 52102, 51264, 51303, 51655, 51651, 51264, 51414, 51655, 54052, 64173, 51943, 63059, 53045, 59095, 51943, 52872, 51497, 50836, 52074, 50809, 52232, 54898, 51139, 52823, 50373, 52852, 59971, 51497, 50835, 52211, 50811, 52061, 50930, 50710, 50329, 52209, 52039, 50821, 51431, 50800, 61933, 50910, 69477, 59131, 51497, 50829, 52211, 51870, 52061, 51127, 50710, 50329, 50918, 51170, 50373, 53967, 52742, 51497, 50855, 52074, 50887, 52856, 51594, 56233, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387, 51497, 56455, 55756, 50374, 53967, 57536, 52321, 53107, 50835, 51899, 51139, 53268, 50804, 52348, 62107, 50804, 50908, 54124, 50928, 52198, 50928, 55985, 50982, 56483, 50982, 79480, 51151, 51687, 51293, 51651, 51313, 54052, 64173, 51497, 50834, 52074, 50818, 52232, 52628, 51497, 50835, 53001, 51400, 62023, 59095, 52164, 52966, 51497, 50825, 52074, 50840, 52232, 55960, 51139, 52823, 50373, 52852, 59971, 51497, 50834, 52109, 51194, 52164, 50928, 51361, 53107, 59131, 52164, 58340, 50373, 53967, 52742, 51497, 50891, 51980, 51562, 51718, 51087, 52291, 50374, 53967, 67264, 51170, 53995, 50374, 53967, 67387 ]

[ 0, 250, 765, 6, 1372, 15855, 2125, 19, 10, 2842, 9, 3495, 6, 4246, 41, 21979, 8669, 816, 11, 10, 7212, 155, 73, 306, 86, 6543, 4, 20, 2214, 16, 11, 5, 762, 9, 230, 538, 8, 29769, 198, 5, 40286, 230, 8, 211, 119, 6, 2351, 10, 8520, 8, 11653, 5466, 14, 19101, 26545, 8, 20183, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 59205, 57304, 51504, 51161, 50416, 51131, 51161, 50417, 50986, 59047, 50998, 51631, 50970, 51736, 50929, 51646, 50947, 51918, 63139, 51034, 70655, 59737, 59857, 62768, 51032, 52910, 70655, 59737, 59857, 62768, 51032, 52424, 70655, 59737, 59857, 62768, 65429, 51034, 58352, 68137, 51444, 51161, 50416, 51207, 51161, 50417, 50960, 57944, 51032, 51736, 51064, 51646, 50947, 51918, 61675, 51034, 70655, 59737, 59857, 50970, 57269, 52910, 70655, 59737, 59857, 50970, 57269, 52424, 70655, 59737, 59857, 50970, 62526, 51034, 56745, 51246, 57944, 50929, 52424, 50929, 63453, 50970, 51048, 51034, 68902, 50986, 50983, 50416, 50998, 54745, 50970, 59182, 50998, 51291, 50432, 50960, 52262, 50998, 51724, 59857, 51034, 59205, 57304, 51504, 51161, 50416, 51131, 51161, 50417, 50986, 59047, 50998, 51631, 50970, 51736, 50929, 51646, 50947, 51918, 63139, 51034, 70655, 59737, 59857, 62768, 51032, 52910, 70655, 59737, 59857, 62768, 51032, 52424, 70655, 59737, 59857, 62768, 65429, 51034, 58352, 68137, 51444, 51161, 50416, 51207, 51161, 50417, 50960, 57944, 51032, 51736, 51064, 51646, 50947, 51918, 61675, 51034, 70655, 59737, 59857, 50970, 57269, 52910, 70655, 59737, 59857, 50970, 57269, 52424, 70655, 59737, 59857, 50970, 62526, 51034, 71890, 50960, 52910, 58352, 51246, 56039, 50970, 63453, 50998, 51048, 51034, 70655, 59737, 59857, 50970, 52910, 70655, 59737, 59857, 50970, 52424, 70655, 59737, 59857, 62768, 51034, 59205, 57304, 51504, 51161, 50416, 51131, 51161, 50417, 50986, 59047, 50998, 51631, 50970, 51736, 50929, 51646, 50947, 51918, 63139, 51034, 70655, 59737, 59857, 62768, 51032, 52910, 70655, 59737, 59857, 62768, 51032, 52424, 70655, 59737, 59857, 62768, 65429, 51034, 58352, 68137, 51444, 51161, 50416, 51207, 51161, 50417, 50960, 57944, 51032, 51736, 51064, 51646, 50947, 51918, 61675, 51034, 70655, 59737, 59857, 50970, 57269, 52910, 70655, 59737, 59857, 50970, 57269, 52424, 70655, 59737, 59857, 50970, 62526, 51034, 56745, 51246, 57944, 50929, 52424, 50929, 63453, 50970, 51048, 51034, 68902, 50986, 50983, 50416, 50998, 54745, 50970, 59182, 50998, 51291, 50432, 50960, 52262, 50998, 51724, 59857, 51034, 59205, 57304, 51504, 51161, 50416, 51131, 51161, 50417, 50986, 59047, 50998, 51631, 50970, 51736, 50929, 51646, 50947, 51918, 63139, 51034, 70655, 59737, 59857, 62768, 51032, 52910, 70655, 59737, 59857, 62768, 51032, 52424, 70655, 59737, 59857, 62768, 65429, 51034, 58352, 68137, 51444, 51161, 50416, 51207, 51161, 50417, 50960, 57944, 51032, 51736, 51064, 51646, 50947, 51918, 61675, 51034, 70655, 59737, 59857, 50970, 57269, 52910, 70655, 59737, 59857, 50970, 57269, 52424, 70655, 59737, 59857, 50970, 62526, 51034, 71890, 50960, 52910, 58352, 51246, 56039, 50970, 63453, 50998, 51048, 51034, 70655, 59737, 59857, 50970, 52910, 70655, 59737, 59857, 50970, 52424, 70655, 59737, 59857, 62768, 51034, 63139, 62978, 51444, 51161, 50416, 50960, 51161, 50417, 50970, 59047, 50947, 51631, 51064, 51736, 51032, 51646, 51067, 51918, 70858, 51034, 59737, 59857, 50970, 62526, 51438, 52910, 59737, 59857, 50970, 62526, 51438, 52424, 59737, 59857, 50970, 62526, 51438, 50807, 51034, 50960, 52115, 50998, 51631, 50970, 51736, 50929, 51646, 50947, 51918, 63139, 51034, 70655, 59737, 59857, 62768, 51032, 52910, 70655, 59737, 59857, 62768, 51032, 52424, 70655, 59737, 59857, 62768, 65429, 51034, 61351, 69095, 62768, 58352, 51067, 52910, 62978, 61351, 69095, 62768, 50929, 53182, 51032, 51646, 61351, 69095, 62768, 58352, 70344, 51034, 59498, 59857, 62299, 51292, 52910, 70858, 59498, 59857, 50998, 53182, 51067, 51646, 59857, 51292, 50807, 51034, 51067, 52910, 61351, 72611, 58352, 51032, 52424, 70903, 61351, 72611, 58352, 50440, 51076, 51048, 51034, 66615, 59498, 59857, 58352, 51032, 52910, 66615, 59498, 59857, 58352, 51032, 52424, 66615, 59498, 59857, 58352, 65429, 51034, 63139, 62978, 51444, 51161, 50416, 50960, 51161, 50417, 50970, 59047, 50947, 51631, 51064, 51736, 51032, 51646, 51067, 51918, 70858, 51034, 59737, 59857, 50970, 62526, 51438, 52910, 59737, 59857, 50970, 62526, 51438, 52424, 59737, 59857, 50970, 62526, 51438, 50807, 51034, 50960, 52115, 50986, 51631, 50960, 51736, 50998, 51646, 50970, 51918, 61675, 51034, 70655, 59737, 59857, 50970, 57269, 52910, 70655, 59737, 59857, 50970, 57269, 52424, 70655, 59737, 59857, 50970, 62526, 76004, 59047, 50947, 51631, 51064, 51736, 50947, 51646, 50929, 51918, 59205, 51034, 59857, 62299, 51032, 52910, 59857, 62299, 51064, 52424, 70655, 59737, 59857, 50970, 62526, 51034, 50947, 52115, 51064, 51631, 67640, 50986, 50918, 50428, 50929, 54056, 50947, 58607, 50929, 52359, 50947, 57307, 50929, 60865, 61337, 51034, 70655, 59737, 59857, 50970, 52910, 70655, 59737, 59857, 50970, 52424, 70655, 59737, 59857, 62768, 51034, 63139, 62978, 51444, 51161, 50416, 50960, 51161, 50417, 50970, 59047, 50947, 51631, 51064, 51736, 51032, 51646, 51067, 51918, 70858, 51034, 59737, 59857, 50970, 62526, 51438, 52910, 59737, 59857, 50970, 62526, 51438, 52424, 59737, 59857, 50970, 62526, 51438, 50807, 51034, 50960, 52115, 50998, 51631, 50970, 51736, 50929, 51646, 50947, 51918, 63139, 51034, 70655, 59737, 59857, 62768, 51032, 52910, 70655, 59737, 59857, 62768, 51032, 52424, 70655, 59737, 59857, 62768, 65429, 51034, 61351, 69095, 62768, 58352, 51067, 52910, 62978, 61351, 69095, 62768, 50929, 53182, 51032, 51646, 61351, 69095, 62768, 58352, 70344, 51034, 59498, 59857, 62299, 51292, 52910, 70858, 59498, 59857, 50998, 53182, 51067, 51646, 59857, 51292, 50807, 51034, 51067, 52910, 61351, 72611, 58352, 51032, 52424, 70903, 61351, 72611, 58352, 50440, 51076, 51048, 51034, 66615, 59498, 59857, 58352, 51032, 52910, 66615, 59498, 59857, 58352, 51032, 52424, 66615, 59498, 59857, 58352, 65429, 51034, 63139, 62978, 51444, 51161, 50416, 50960, 51161, 50417, 50970, 59047, 50947, 51631, 51064, 51736, 51032, 51646, 51067, 51918, 70858, 51034, 59737, 59857, 50970, 62526, 51438, 52910, 59737, 59857, 50970, 62526, 51438, 52424, 59737, 59857, 50970, 62526, 51438, 50807, 51034, 50960, 52115, 50986, 51631, 50960, 51736, 50998, 51646, 50970, 51918, 61675, 51034, 70655, 59737, 59857, 50970, 57269, 52910, 70655, 59737, 59857, 50970, 57269, 52424, 70655, 59737, 59857, 50970, 62526, 76004, 59047, 50947, 51631, 51064, 51736, 50947, 51646, 50929, 51918, 59205, 51034, 59857, 62299, 51032, 52910, 59857, 62299, 51064, 52424, 70655, 59737, 59857, 50970, 62526, 51034, 50947, 52115, 51064, 51631, 67640, 50986, 50918, 50428, 50929, 54056, 50947, 58607, 50929, 52359, 50947, 57307, 50929, 60865, 61337, 51034, 70655, 59737, 59857, 50970, 52910, 70655, 59737, 59857, 50970, 52424, 70655, 59737, 59857, 62768, 51034, 51504, 51161, 50416, 51131, 51161, 50417, 50986, 51161, 50419, 50970, 51358, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 2635, 12, 20764, 3495, 1619, 2214, 11, 230, 3694, 6, 4246, 10, 13305, 6, 21979, 8669, 6, 6755, 12547, 6, 4401, 757, 3178, 6, 8, 21072, 4, 20, 33301, 7630, 6568, 6453, 9, 657, 8, 26545, 6, 19, 5, 40286, 230, 119, 8, 274, 119, 1976, 5, 46336, 4811, 4, 20, 204, 73, 306, 86, 6543, 8, 5, 7212, 5933, 146, 24, 10, 1969, 1285, 7, 143, 2317, 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 ]

[ 57448, 50799, 51887, 51870, 51299, 51870, 51164, 64739, 51154, 63406, 52247, 51375, 51079, 51093, 61815, 56990, 54777, 51154, 55808, 53470, 51887, 51870, 51794, 51870, 51088, 51080, 51165, 51244, 50847, 50918, 50939, 51356, 50799, 51887, 51009, 51299, 51009, 51164, 66526, 51154, 63406, 57078, 51375, 51079, 51093, 61815, 59192, 52309, 51154, 55808, 58395, 51887, 51029, 51794, 51029, 51088, 51283, 51165, 51477, 50847, 51356, 50939, 51551, 55513, 57593, 64244, 72291, 61409, 51456, 59788, 51456, 52768, 50871, 59223, 77277, 50802, 51690, 61479, 69261, 52884, 50965, 69854, 50802, 52128, 50802, 52838, 61479, 50823, 54594, 60253, 50802, 51487, 50802, 51926, 50802, 51887, 51009, 51299, 51009, 50872, 50974, 50945, 56681, 59739, 51469, 50832, 50879, 55961, 59223, 77277, 50802, 51690, 65101, 61176, 52483, 50965, 69854, 50802, 52128, 50802, 52838, 57866, 52108, 74516, 54729, 50871, 59223, 77277, 50802, 51690, 65101, 78904, 51646, 50861, 60253, 50802, 51487, 50802, 51926, 50802, 51887, 51009, 51794, 51009, 50939, 50892, 51096, 56681, 76801, 52692, 73176, 50931, 50975, 51339, 50975, 51690, 50975, 51125, 51387, 50832, 52610, 51257, 57321, 50943, 50832, 50893, 50454, 51040, 50823, 51028, 50823, 51399, 50823, 51905, 54178, 51125, 55993, 50923, 50458, 50956, 50823, 67948, 51405, 50823, 51811, 50823, 53975, 51407, 50876, 51407, 51062, 51407, 51299, 50824, 51304, 51407, 51887, 51184, 50872, 50849, 50945, 58583, 55671, 56179, 50992, 61176, 52483, 51638, 50824, 50909, 57353, 72363, 54729, 50992, 59510, 51646, 52316, 51009, 50872, 53834, 76801, 52692, 50900, 79340, 53194, 50328, 51012, 51304, 69288, 67484, 52610, 50871, 53194, 50321, 53194, 50333, 51012, 51690, 67459, 59140, 74516, 55764, 50965, 53194, 50324, 53194, 50336, 51012, 52838, 69288, 59561, 50923, 54594, 60253, 50802, 51487, 50802, 51926, 50802, 51887, 51009, 51299, 51009, 50872, 58536, 58583, 76801, 50879, 55961, 59223, 77277, 50802, 51690, 65101, 64602, 52483, 50965, 69854, 50802, 52128, 50802, 52838, 57866, 56649, 69016, 54729, 50871, 59223, 77277, 50802, 51690, 65101, 58214, 51646, 50861, 60253, 50802, 51487, 50802, 51926, 51012, 52316, 77105, 77732, 56777, 51090, 50832, 52692, 73176, 50931, 50975, 51339, 50975, 51690, 51483, 50992, 61176, 52610, 52316, 50824, 50909, 57957, 51013, 50832, 50893, 50454, 50900, 71236, 51062, 50823, 51304, 63695, 50992, 59510, 50923, 50458, 51086, 64313, 50823, 51220, 50823, 51558, 51045, 55435, 51407, 50906, 51407, 51081, 51407, 51638, 50824, 51394, 52827, 51794, 51352, 50939, 50845, 51096, 58583, 51090, 50832, 56179, 51125, 61176, 52483, 51887, 50824, 51257, 57321, 69016, 54729, 51125, 61176, 51646, 51638, 51237, 50939, 54788, 74516, 52692, 50997, 58503, 65531, 50802, 51394, 51952, 50317, 61176, 52610, 51040, 67797, 50802, 51399, 50802, 51887, 50802, 51905, 51952, 50321, 57321, 69016, 55764, 50916, 61537, 50802, 51430, 50802, 51699, 50802, 51733, 51952, 50317, 67484, 50923, 54594, 51407, 50951, 51407, 51487, 51407, 51926, 52311, 52602, 53174, 50939, 50845, 51096, 58583, 76801, 56179, 51887, 51952, 50317, 61176, 52483, 51638, 51952, 50321, 52504, 69016, 54729, 51794, 51952, 50317, 72874, 51646, 51154, 51237, 50939, 56777, 76801, 52692, 50997, 58503, 65531, 50802, 51394, 78607, 72874, 52610, 51040, 67797, 50802, 51399, 50802, 51887, 51012, 51905, 51834, 50321, 52504, 76801, 55764, 50916, 53194, 50320, 53194, 50332, 51012, 51699, 51012, 51733, 78607, 61176, 50923, 54578, 52827, 50931, 52827, 51339, 52827, 52907, 51407, 51690, 52311, 50872, 61217, 52379, 50798, 76801, 56179, 52143, 65101, 64602, 52483, 51887, 57866, 56649, 69016, 54729, 52316, 65101, 59145, 51646, 51299, 51029, 50872, 53834, 69016, 52692, 51050, 76206, 53194, 50321, 51012, 51201, 64053, 58266, 52610, 51176, 53194, 50312, 53194, 50324, 51012, 51629, 64273, 56649, 69016, 55764, 50956, 53194, 50319, 53194, 50331, 51012, 51811, 64053, 58266, 50923, 57346, 67797, 50802, 51399, 50802, 51905, 50923, 52143, 51009, 51299, 51009, 50885, 50974, 50945, 56681, 76801, 50879, 53502, 58987, 73301, 50824, 51304, 51237, 50872, 58214, 52483, 50847, 53757, 74516, 50879, 79471, 51045, 51001, 51045, 51405, 51045, 51811, 68981, 50868, 59510, 57775, 51040, 50823, 51028, 50823, 51399, 50823, 51905, 70228, 51040, 67797, 50802, 51399, 50802, 51905, 51012, 52143, 51527, 51638, 51527, 50885, 50892, 50964, 56681, 76801, 52692, 50900, 57593, 64244, 72291, 58512, 54397, 52610, 50900, 57593, 64244, 72291, 62880, 57438, 69016, 55764, 51315, 60973, 61537, 50802, 51266, 58512, 59561, 50923, 54197, 51407, 50871, 51407, 50931, 51407, 51887, 51054, 52316, 52311, 51201, 52827, 50872, 70481, 58583, 76801, 56179, 50992, 59510, 52483, 52143, 51054, 50909, 57957, 76801, 54729, 50992, 58214, 51646, 52907, 51761, 50872, 53834, 51237, 50832, 52692, 50871, 53194, 50321, 53194, 50333, 51012, 51690, 65101, 59510, 52610, 50871, 53194, 50321, 53194, 50333, 51012, 51690, 67459, 63097, 76801, 55764, 50916, 53194, 50320, 53194, 50332, 51012, 51733, 65101, 59286, 50923, 56178, 51870, 51001, 51870, 51405, 51870, 51699, 51870, 51811, 51009, 50979, 50974, 51105, 56681, 51054, 51206, 51184, 50832, 50879, 50418, 51638, 75832, 50847, 59561, 67379, 51426, 66037, 51638, 51237, 50939, 57652, 74516, 54729, 50847, 58530, 51646, 50861, 53751, 50323, 53751, 50335, 51237, 51926, 50824, 52481, 51870, 50979, 50892, 51105, 56681, 51090, 50832, 50806, 50442, 51638, 77762, 53449, 50832, 75237, 51794, 51014, 56415, 53194, 50321, 53194, 50333, 51012, 51690, 76057, 51237, 50939, 57652, 50943, 50832, 55764, 51040, 53194, 50317, 53194, 50329, 51012, 51905, 56225, 55367, 50923, 53975, 52827, 50876, 52827, 51062, 52827, 53623, 51870, 51304, 51407, 50992, 50838, 51325, 58583, 69016, 56179, 52481, 51029, 50909, 57161, 52483, 51298, 57652, 72363, 54729, 50909, 59510, 51646, 53623, 51870, 50992, 60386, 76801, 52692, 50900, 79340, 53194, 50328, 51012, 52316, 51012, 51304, 57866, 57161, 52610, 50956, 53194, 50319, 53194, 50331, 51012, 51299, 51012, 51811, 50802, 51298, 52504, 74516, 55764, 50900, 79340, 53194, 50328, 51012, 52316, 51012, 51304, 57866, 58266, 50923, 55435, 52827, 50906, 52827, 51081, 52827, 52602, 51870, 51394, 51407, 50944, 50879, 51213, 56681, 76801, 50879, 50418, 53148, 75832, 50939, 59561, 67379, 51638, 66037, 51794, 51237, 51125, 57652, 69016, 54729, 50939, 55367, 51646, 53599, 51009, 50939, 50901, 51096, 77609, 76801, 50806, 50442, 51699, 55380, 50997, 53194, 50314, 53194, 50326, 51012, 51394, 51952, 50317, 61176, 75237, 51638, 53798, 51040, 67797, 50802, 51399, 50802, 51905, 51012, 51794, 50824, 51257, 52504, 51013, 50832, 55764, 51086, 64726, 76573, 50802, 51558, 51952, 50317, 67484, 50923, 53975, 51407, 50876, 51407, 51062, 51407, 51304, 52827, 52143, 52379, 50909, 50901, 50964, 52379, 50798, 51090, 50832, 56179, 51699, 51952, 50320, 58530, 52483, 51299, 51952, 50323, 53757, 69016, 54729, 51699, 50802, 51149, 58530, 51646, 51299, 57866, 51654, 51090, 50832, 52692, 50900, 57593, 64244, 72291, 51952, 50320, 58894, 75237, 51456, 64598, 51456, 53688, 50871, 67800, 50824, 51339, 50824, 51690, 51237, 51439, 57438, 50896, 51224, 51014, 51456, 52273, 55764, 50965, 69854, 50802, 52128, 50802, 52838, 50802, 51149, 50893, 51224, 66224, 50923, 54594, 60253, 50802, 51487 ]

[ 0, 250, 15855, 1619, 2214, 19, 10, 2842, 9, 19834, 27456, 6, 4246, 10, 20535, 2810, 6, 3152, 6757, 6, 13305, 6, 6755, 12547, 6, 8, 326, 5638, 18026, 4, 20, 2125, 11498, 10, 33928, 8, 33558, 5466, 1328, 6, 19, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 15229, 22848, 10, 15352, 30054, 3222, 5785, 227, 5, 1337, 9571, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50796, 54468, 51585, 52701, 51933, 52067, 52282, 54961, 51538, 52851, 51538, 51913, 51538, 53828, 51422, 61904, 63465, 50835, 51119, 51056, 51777, 50943, 51489, 51056, 51217, 78888, 63296, 61839, 50816, 67722, 50816, 56572, 50816, 66478, 50816, 64159, 50816, 53738, 50816, 60156, 50816, 58115, 50816, 53991, 50816, 62184, 50816, 59045, 50816, 50908, 51694, 52465, 50895, 51119, 51124, 51777, 51124, 51489, 51124, 50946, 51013, 51017, 75736, 71778, 51016, 77627, 50908, 63261, 57845, 50816, 66221, 50816, 66284, 50816, 54354, 50816, 62713, 50816, 50908, 57671, 55799, 75805, 57008, 59445, 50816, 54203, 50816, 52771, 71331, 51119, 51221, 51777, 51162, 51489, 51124, 50946, 51073, 51017, 75736, 61659, 51013, 50439, 75805, 50440, 50816, 50908, 53525, 50982, 57040, 68211, 50816, 57536, 52067, 55531, 72485, 60707, 50446, 52336, 54690, 50982, 60309, 51004, 50448, 53147, 54690, 67421, 52629, 55071, 56663, 52458, 51933, 51702, 51933, 55078, 50806, 52103, 51538, 52489, 51486, 52310, 51538, 53718, 51692, 52006, 51865, 50825, 51512, 51162, 51777, 51159, 51435, 51162, 51396, 51157, 51017, 51159, 50457, 52264, 50806, 53028, 50895, 51512, 51124, 51777, 51124, 51435, 51124, 51396, 51016, 51017, 67949, 51013, 51125, 51016, 50415, 52264, 68542, 56829, 50828, 51512, 50849, 51777, 51110, 51435, 51100, 51396, 51013, 51017, 67949, 51048, 51125, 51073, 57080, 51933, 52058, 51336, 52314, 51356, 52719, 51077, 53152, 51077, 51913, 51077, 55248, 51183, 52006, 51865, 50825, 51119, 51159, 51275, 51159, 52070, 51159, 50946, 70902, 51013, 50944, 50889, 52320, 50895, 51119, 51377, 51275, 51377, 52070, 51124, 50946, 70902, 51016, 50944, 55541, 51016, 50799, 52698, 50879, 52067, 50879, 53152, 50805, 51913, 50805, 51648, 50805, 55815, 50901, 56829, 50828, 51119, 51162, 51275, 51162, 52070, 51110, 50946, 51016, 50848, 50896, 50944, 51048, 50850, 77130, 52058, 50893, 52314, 50893, 52719, 50805, 53152, 50805, 51913, 50805, 55248, 55035, 50631, 51349, 51161, 53093, 51016, 51744, 51896, 54961, 51623, 52851, 51623, 51913, 51591, 53828, 51003, 52006, 51865, 50825, 51119, 51162, 51777, 51159, 51489, 51159, 51217, 78888, 51013, 51017, 72869, 52424, 53542, 50896, 53976, 54042, 50895, 51119, 51189, 51777, 51189, 51489, 51218, 50946, 77742, 75736, 71778, 62682, 53828, 55125, 53266, 51290, 55815, 50873, 56829, 50828, 50946, 51073, 51017, 51290, 79493, 50850, 80071, 61052, 50873, 59373, 51036, 53175, 51696, 52061, 51307, 56844, 51036, 52970, 51036, 53152, 51264, 51913, 51036, 64092, 51449, 61904, 53837, 51949, 50839, 51494, 51359, 51119, 51359, 51777, 51359, 61889, 53423, 50816, 52639, 50801, 54660, 50816, 52844, 77278, 51658, 53404, 53806, 50816, 54926, 50816, 52396, 50801, 50846, 54706, 53268, 50816, 50828, 54281, 51036, 52058, 51696, 51744, 52379, 64434, 51264, 52851, 51264, 52489, 51264, 52310, 51264, 61904, 51700, 63465, 50825, 51512, 51359, 51429, 51359, 51489, 51359, 61889, 53423, 50816, 52639, 50801, 54660, 50816, 52844, 77278, 51658, 53404, 53806, 50816, 54926, 50816, 52396, 50801, 50846, 54706, 53268, 50816, 50828, 54468, 51013, 52701, 50858, 52067, 51014, 55912, 50910, 51913, 50910, 52425, 50910, 53552, 53023, 55610, 50884, 56607, 50887, 56507, 50859, 51119, 51178, 51777, 51110, 51489, 63963, 51374, 51013, 53026, 52275, 50839, 56607, 50887, 56507, 53974, 55610, 50884, 56607, 50859, 56507, 50859, 51119, 50867, 51777, 50857, 51489, 50857, 54585, 51345, 53026, 50835, 56607, 50952, 56507, 60021, 54103, 50805, 52376, 52504, 51239, 50846, 51119, 51255, 51777, 51255, 51489, 51221, 50448, 51349, 53938, 51374, 51013, 52457, 50795, 52522, 51650, 51187, 51792, 53268, 54103, 51058, 52376, 51058, 55610, 50884, 51119, 50867, 51777, 50886, 51489, 50886, 54468, 51013, 53026, 53420, 58413, 50818, 56607, 50859, 56507, 50887, 51119, 51178, 51777, 51178, 51489, 75262, 51374, 51013, 53026, 51949, 50839, 56607, 50887, 56507, 50859, 51361, 50839, 56607, 50859, 56507, 50859, 51119, 50822, 51777, 50874, 51489, 50822, 54585, 50924, 71226, 51187, 50883, 56607, 50952, 56507, 50859, 51119, 50925, 51777, 50925, 51489, 58460, 53572, 51735, 54468, 51016, 55495, 50923, 52332, 51244, 51656, 51244, 53552, 53023, 55610, 50884, 51119, 51178, 51777, 51110, 52070, 51110, 50423, 55495, 78591, 51374, 51013, 53026, 52275, 50839, 54453, 51241, 54082, 79763, 53572, 51021, 55610, 50884, 51119, 50867, 51777, 50857, 52070, 50857, 54585, 51013, 54006, 51033, 52033, 51244, 52255, 51244, 53026, 52875, 54006, 51286, 58413, 50846, 51119, 51255, 51777, 51255, 51489, 68031, 51374, 51013, 53026, 51792, 50839, 54453, 51351, 53059, 51351, 50456, 53572, 54698, 51187, 50884, 51119, 50867, 51777, 50886, 51489, 50886, 54468, 51227, 55495, 50923, 51881, 51244, 52332, 51244, 53552, 53023, 55610, 50884, 51119, 51178, 51777, 51110, 52070, 51110, 50423, 55504, 50882, 50424, 51349, 54392, 51374, 51013, 55495, 51021, 53026, 52275, 50839, 54453, 51115, 54082, 51351, 50432, 53572, 51030, 55610, 50884, 51119, 50867, 51777, 50857, 52070, 50857, 54585, 51013, 54006, 51286, 53100, 53478, 52033, 53478, 53026, 52875, 58413, 50846, 51119, 51255, 51777, 51255, 51489, 68031, 51374, 51013, 53026, 51792, 50839, 54453, 51134, 53059, 51351, 50456, 52701, 50821, 52384, 50882, 54961, 52390, 51187, 50884, 51119, 50867, 51777, 50886, 51489, 50886, 54468, 51013, 52384, 51013, 52384, 51054, 52851, 50943, 53552, 53023, 52225, 52504, 51187, 50884, 51119, 51178, 51777, 51110, 51489, 63963, 51374, 51013, 52148, 51030, 52701, 50879, 54961, 50873, 52430, 50873, 53026, 52275, 50839, 54453, 51391, 53059, 51391, 50432, 52384, 50879, 54006, 50923, 52851, 50873, 53976, 50873, 55610, 50884, 51119, 50867, 51777, 50857, 51489, 50857, 54585, 51345, 52377, 51016, 53572, 51054, 52489, 50889, 53828, 50914, 53026, 52875, 58413, 50846, 51119, 51255, 51777, 51255, 51489, 51221, 50448, 51349, 53938, 51374, 51013, 52698, 50893, 52488, 50911, 53152, 50849, 52886, 50849, 53026, 51792, 50839, 54453, 51363, 53059, 71834, 52384, 50806, 54006, 50923, 52851, 50795, 53976, 50901, 55610, 50884, 51119, 50867, 51777, 50886, 51489, 50886, 59373, 51016, 52058, 51364, 53084, 51551, 52719, 51218, 53541, 51244, 51881, 51244, 53499, 50915, 53552, 53023, 55610, 50884, 51512, 51178, 51429, 51110, 51275, 63963, 51374, 51013, 53026, 52275, 52925, 55610, 50884, 51512, 50867, 51429, 50857, 51275, 50857, 58711, 51013, 53572, 51496, 52033, 53478, 52255, 53478, 53026, 52875, 58413, 50846, 51512, 51255, 51429, 51255, 51275, 68031, 51374, 51013, 53026, 51792, 53268, 56726, 54898, 51187, 50884, 53059, 50862, 54555, 50862, 51512, 50867, 51429, 50886, 51275, 50886, 59373, 51016, 56726, 51030, 53552, 50835, 53059, 50977, 54555, 68531, 55248, 55579, 51187, 50884, 52631, 50810, 54082, 50813, 51512, 51178, 51429, 51110, 51275, 51110, 50423, 53828, 50808, 54453, 50810, 53059, 53906, 51374, 51013, 52886, 50849, 53026, 52275, 50839, 53302, 50977, 52631, 58672, 53828, 52704, 51187, 50884, 54453, 50810, 53059, 50813, 51512, 50867, 51429, 50857, 51275, 56579, 55248, 50859, 52631, 50810, 54082, 50862, 58711, 51013, 56726, 50937, 53026, 50835, 53059, 50977, 54555, 63634, 58413, 50846, 51512, 51255, 51429, 51255, 51275, 68031, 51374, 51013, 53026, 51792, 53268, 53572, 51012, 55610, 50884, 51512, 50867, 51429, 50886, 51275 ]

[ 0, 250, 251, 8, 19448, 3495, 2125, 19, 15855, 16882, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 21979, 8669, 6, 3459, 9590, 6, 8, 2342, 4467, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 1614, 1073, 1020, 20889, 9, 5595, 13410, 228, 2289, 4, 20, 15229, 7630, 6568, 10, 7053, 1619, 5466, 6, 19, 17878, 9, 11098, 8, 657, 4, 20, 33215, 16739, 9, 83, 6, 381, 6, 8, 274, 10431, 119, 406, 3639, 7, 63, 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 ]

[ 57528, 58301, 60599, 63412, 62219, 52774, 51028, 52247, 62086, 74129, 58692, 62219, 52309, 50973, 52322, 59454, 51958, 50310, 60599, 78611, 57024, 62250, 50821, 51114, 54863, 57009, 50821, 51147, 50821, 50799, 59454, 70167, 51226, 50899, 51226, 50989, 51226, 50999, 52774, 57009, 72292, 52247, 62250, 68053, 52309, 58012, 75962, 50980, 50916, 50980, 50965, 50980, 50973, 73901, 50806, 50443, 53042, 53675, 52882, 50896, 55323, 51160, 50453, 55403, 52935, 53958, 80227, 54863, 55330, 50821, 58703, 50821, 54206, 50980, 50989, 71261, 50980, 53767, 50806, 59421, 51285, 64401, 50806, 55330, 52247, 50899, 50980, 50989, 71261, 50980, 52614, 52309, 51086, 50806, 55330, 52322, 50916, 71261, 50980, 50973, 50980, 53958, 50896, 58703, 67114, 51040, 52610, 50916, 60599, 78611, 50896, 55330, 52931, 52614, 50806, 54206, 64110, 60599, 70512, 50896, 52614, 51196, 53879, 51469, 50426, 52328, 52309, 52333, 51685, 50438, 52307, 52692, 52882, 52610, 71433, 52494, 59908, 50931, 52935, 70433, 54568, 50896, 50459, 74231, 57844, 50980, 51028, 73901, 50980, 51617, 52570, 56440, 50806, 52614, 52570, 50426, 50973, 50980, 51028, 73901, 56925, 50916, 52322, 50877, 50980, 51028, 73901, 58648, 50916, 52610, 50877, 50980, 51028, 73901, 57175, 50916, 50806, 57844, 50980, 51028, 73901, 50980, 56440, 52247, 50973, 50980, 51028, 73901, 56925, 50916, 52322, 50877, 50980, 51028, 73901, 58648, 50916, 52610, 50877, 50980, 51028, 73901, 57175, 50916, 56277, 54120, 50821, 56310, 50980, 50973, 50980, 51028, 73901, 50980, 52671, 55419, 50916, 52247, 50973, 50980, 51028, 73901, 50980, 52671, 52309, 51176, 59368, 50806, 52202, 53660, 52155, 66564, 51378, 50980, 50965, 50980, 50973, 50980, 51028, 58648, 51040, 52610, 50989, 71261, 50980, 51028, 50980, 52155, 52931, 51315, 75962, 50806, 53320, 50806, 54868, 50980, 50916, 50980, 50989, 71261, 50980, 54027, 52774, 50899, 50806, 53320, 51160, 56248, 50980, 50989, 71261, 74177, 52155, 57359, 50899, 69988, 52202, 50921, 50437, 54120, 72328, 51360, 50980, 50965, 50980, 50973, 58648, 51040, 52610, 50965, 50980, 50973, 57175, 51040, 50806, 54120, 50806, 54868, 50980, 50916, 50980, 50989, 71261, 50980, 54027, 52774, 50899, 50806, 53320, 52247, 50916, 50980, 50989, 71261, 50980, 52155, 52309, 50899, 50806, 54027, 52322, 51279, 71261, 50980, 51028, 50980, 54027, 56050, 54120, 52692, 51040, 55967, 52155, 51160, 60027, 50980, 51028, 57175, 51040, 50806, 50461, 52671, 50921, 58066, 50980, 50989, 71261, 72544, 50980, 50417, 51596, 51160, 54569, 52247, 50989, 71261, 72544, 50980, 52671, 52309, 50899, 50806, 52155, 50921, 50437, 52671, 56360, 51315, 50980, 50916, 71261, 50980, 50973, 77756, 52202, 51226, 55989, 52610, 50916, 50980, 50965, 50980, 50973, 57175, 51120, 59238, 56277, 52671, 50806, 57497, 50980, 50916, 50980, 50965, 50980, 50973, 50980, 50417, 51789, 59217, 51040, 52247, 50916, 50980, 50965, 50980, 50973, 74177, 51789, 52309, 51040, 55246, 52083, 52877, 51378, 71261, 50980, 51028, 50980, 51789, 56050, 51596, 52692, 51040, 55967, 51596, 51160, 60027, 50980, 51028, 57175, 51040, 50806, 52671, 50806, 58066, 50980, 50989, 72544, 50980, 52671, 52774, 50899, 50806, 52202, 56003, 50989, 72544, 56925, 50899, 50806, 52202, 78340, 52671, 56360, 51120, 71211, 72544, 50980, 50440, 51596, 51226, 55989, 52610, 70433, 50999, 50980, 50453, 50931, 52935, 50902, 54863, 74231, 52671, 50821, 57844, 50980, 51028, 73901, 50980, 52202, 56191, 52155, 50980, 56440, 52247, 50877, 50980, 51028, 73901, 56925, 50916, 50806, 54120, 52322, 51378, 71261, 50980, 51028, 50980, 54027, 56050, 52155, 58648, 51040, 52610, 50877, 50980, 51028, 50980, 50453, 52155, 52935, 51040, 50806, 52202, 50806, 54868, 71261, 50980, 51028, 50980, 52202, 56191, 52671, 51226, 54569, 52247, 50877, 50980, 51028, 56925, 50899, 50806, 51596, 52322, 51324, 50980, 50989, 72544, 50980, 52202, 51585, 55989, 50806, 52614, 52610, 50989, 72544, 50980, 53314, 52931, 50899, 50806, 53839, 50806, 57551, 50980, 50965, 50980, 50973, 50980, 53314, 55419, 50916, 52247, 50965, 50980, 50973, 50980, 53839, 52309, 50916, 50806, 52882, 53585, 51378, 50980, 50989, 71261, 58648, 50916, 50806, 54577, 54526, 51176, 50980, 50965, 50980, 50973, 57175, 50916, 50806, 54568, 50821, 54120, 56277, 52494, 50821, 56310, 50980, 50973, 50980, 51028, 73901, 50980, 54568, 51469, 52671, 65057, 50806, 64092, 51469, 51011, 51285, 56440, 60353, 52247, 50973, 50980, 51028, 73901, 50980, 52671, 58429, 55224, 51176, 59368, 50806, 52202, 53660, 52155, 66564, 51378, 50980, 50965, 50980, 50973, 50980, 51028, 50980, 50944, 50806, 52646, 65980, 51040, 60353, 70233, 50989, 71261, 50980, 51028, 50980, 52155, 52931, 51315, 75962, 50806, 53320, 50806, 54868, 50980, 50916, 50980, 50989, 71261, 50980, 54027, 56747, 50806, 64298, 51196, 51271, 51285, 54569, 50806, 53320, 51160, 50868, 52247, 50916, 50980, 50989, 71261, 50980, 50944, 69460, 52155, 57359, 50899, 69988, 52202, 50921, 50437, 54120, 72328, 51360, 50980, 50965, 50980, 50973, 50980, 50992, 50806, 50700, 50344, 50896, 52022, 65980, 51040, 58429, 52610, 50965, 50980, 50973, 50980, 51125, 50980, 56726, 57024, 51040, 50806, 54120, 50806, 54868, 50980, 50916, 50980, 50989, 71261, 50980, 54027, 56747, 50806, 55815, 51469, 51271, 51285, 54569, 50806, 53320, 58429, 52247, 50916, 50980, 50989, 71261, 50980, 52155, 60338, 56925, 50899, 50806, 54027, 76505, 50946, 50883, 51017, 53294, 51279, 71261, 50980, 51028, 50980, 54027, 60410, 59832, 51285, 50441, 54120, 52692, 51040, 60353, 55967, 52155, 51160, 60027, 50980, 51028, 50980, 50868, 57175, 51040, 69810, 52671, 50936, 58066, 50980, 50989, 71261, 72544, 50980, 51596, 66763, 50806, 61052, 51469, 51415, 51285, 54569, 50806, 52671, 60338, 52247, 50989, 71261, 72544, 50980, 52155, 64579, 52309, 50899, 50806, 52671, 50806, 51840, 52322, 51315, 50980, 50916, 71261, 50980, 50973, 50980, 52202, 51274, 50850, 50806, 51817, 51285, 55989, 50806, 51149, 50806, 52332, 50806, 51656, 52610, 50916, 50980, 50965, 50980, 50973, 50980, 50992, 50980, 52033, 50806, 52255, 52931, 51120, 59238, 50806, 52671, 50806, 51881, 50806, 52332, 50806, 57497, 50980, 50916, 50980, 50965, 50980, 50973, 50980, 58703, 51196, 51789, 77742, 50806, 53100, 50896, 52033, 51285, 52255, 51285, 52022, 51285, 61683, 58429, 52247, 50916, 50980, 50965, 50980, 50973, 50980, 51789, 51160, 50992, 52309, 51040, 68893, 55246, 52083, 52877, 51378, 71261, 50980, 51028, 50980, 57478, 51196, 51789, 76767, 50806, 52332, 51285, 51656, 51285, 52646, 51285, 50441, 51596, 52692, 51040, 56244, 55967, 51596, 51160, 60027, 50980, 51028, 50980, 51125, 50980, 52414, 57175, 51040, 50806, 52671, 50806, 52225, 50806, 58066, 50980, 50989, 72544, 50980, 59421, 51196, 52671, 66763, 50806, 52187, 50980, 51838, 52500, 51415, 51285, 54569, 50806, 52202, 62477, 52247, 50989, 72544, 50980, 50944, 50806, 53129, 50980, 52430, 56925, 50899, 50806, 52202, 62354, 55246, 52671, 52877, 51120, 71211, 72544, 50980, 53879, 51196, 51596, 51285, 50848, 50980, 52036, 50806, 51271, 51285, 55989, 50806, 52225, 52610, 70433, 50999, 50980, 51838, 52500, 50453, 50931, 52935, 68455, 51656, 56277, 74231, 57844, 50980, 51028, 73901, 50980, 53941, 51196, 52671, 60354, 50980, 52033, 51285, 51656, 51285, 52414, 51285, 51011, 51285, 50417, 52202, 53113 ]

[ 0, 250, 765, 37903, 9, 10, 5679, 26709, 3495, 2214, 4246, 41, 21979, 9590, 6, 25044, 139, 10170, 1499, 6, 21979, 8669, 6, 8, 17691, 28430, 6, 278, 11, 10, 155, 73, 306, 86, 6543, 19, 41, 12447, 1001, 20889, 6, 24826, 198, 5, 40286, 272, 8, 211, 406, 11, 5, 762, 9, 272, 538, 6, 7630, 14805, 10, 19448, 8, 8520, 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 ]

[ 75571, 73709, 50960, 51336, 50970, 51336, 51076, 51336, 50426, 52659, 54259, 52419, 54233, 52157, 50873, 50960, 50914, 76079, 51076, 50914, 52278, 51918, 52659, 50873, 51784, 50795, 51034, 51461, 51175, 51136, 50887, 50929, 51013, 51032, 51013, 52285, 50807, 56114, 51486, 54469, 51486, 53326, 51486, 50416, 50998, 51345, 50422, 51273, 57499, 51098, 50893, 51136, 50887, 50929, 51364, 51032, 51364, 51784, 50807, 50428, 50998, 51294, 50432, 51150, 54233, 51216, 50873, 52824, 51918, 51522, 50873, 68533, 67291, 78029, 51784, 50795, 67834, 51016, 50960, 51336, 50970, 51336, 51076, 51336, 51900, 50807, 54174, 51486, 53904, 51486, 53210, 70506, 53210, 51623, 50426, 51273, 50893, 51900, 53182, 51098, 50873, 53326, 53912, 51140, 50873, 50960, 51013, 50970, 51013, 51076, 51013, 52278, 51918, 51705, 50873, 52824, 50795, 53904, 50849, 67834, 51016, 50960, 51933, 50970, 51933, 51076, 51933, 51900, 50807, 54174, 51486, 53904, 51591, 53210, 79216, 51216, 50873, 51802, 53182, 51668, 50873, 53904, 68499, 51389, 50873, 52285, 51918, 51868, 50873, 51802, 50795, 54174, 50849, 68423, 51016, 50998, 51933, 50929, 51933, 51032, 51933, 51950, 50795, 56114, 51486, 54469, 51486, 53326, 66526, 52285, 50795, 52860, 53466, 51984, 50893, 51784, 50807, 53326, 69508, 51216, 54233, 51261, 50873, 52278, 50795, 54469, 56157, 51668, 50873, 51784, 50795, 68423, 50940, 50986, 51013, 50998, 51013, 50929, 51013, 52285, 50807, 56114, 51591, 54469, 51103, 53326, 51189, 50418, 51098, 60872, 53326, 51623, 50422, 51493, 57499, 51461, 50893, 50986, 51364, 50998, 51364, 50929, 51364, 51784, 53182, 51150, 50873, 54469, 51189, 62145, 50873, 52824, 50795, 56114, 55480, 51522, 50873, 65930, 68533, 67291, 51784, 50795, 54469, 50849, 67834, 51175, 50970, 51336, 51076, 51336, 51067, 51336, 51900, 50807, 53904, 51183, 53210, 51692, 52635, 51692, 50422, 51668, 57499, 51150, 50940, 51900, 50807, 53904, 51127, 50430, 51389, 64160, 51098, 58866, 51140, 50873, 50970, 51013, 51076, 51013, 51067, 51013, 51802, 50795, 54174, 60510, 51705, 50873, 51900, 50795, 67834, 51016, 50970, 51933, 51076, 51933, 51067, 51933, 52824, 50983, 53904, 51692, 53210, 51692, 52635, 51692, 50426, 52078, 62138, 52278, 51646, 52157, 50873, 52355, 51918, 52659, 50873, 52824, 50795, 53904, 50849, 51034, 51461, 51343, 50986, 51933, 50998, 51933, 50929, 51933, 51784, 50983, 54469, 50914, 53326, 50914, 52860, 56217, 51493, 54233, 51140, 50873, 51802, 51918, 51705, 50873, 51900, 50795, 67834, 50940, 50970, 51013, 51076, 51013, 51067, 51013, 52824, 50983, 53904, 51790, 53210, 51692, 52635, 51692, 50418, 51668, 65944, 51098, 57499, 51098, 50893, 50970, 51336, 51076, 51336, 51067, 51336, 50432, 51261, 50943, 52278, 50795, 53904, 68499, 52355, 51918, 51668, 50873, 52824, 50795, 54174, 50849, 68423, 51016, 50986, 51103, 50998, 51103, 50929, 51103, 51784, 50918, 56114, 50914, 54469, 50914, 53326, 55973, 51098, 51175, 50434, 51461, 50925, 57280, 51016, 50986, 51013, 50998, 51013, 50929, 51013, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 33928, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 13305, 6, 21979, 8669, 6, 856, 17993, 6, 21979, 9590, 6, 8, 3551, 139, 4, 20, 33301, 16, 702, 23, 41, 178, 5285, 20889, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 272, 538, 4, 20, 33215, 16739, 9, 1918, 6, 211, 406, 6, 8, 272, 35315, 1328, 5, 2214, 6, 2351, 41, 11653, 8, 1372, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 50799, 55540, 50921, 51062, 50921, 50417, 55725, 50821, 51146, 53113, 60312, 59050, 62656, 50821, 51430, 50821, 51085, 61805, 50806, 51461, 66808, 60312, 59050, 58429, 56977, 62656, 50821, 51430, 66728, 78919, 52309, 60312, 59050, 62656, 50821, 51430, 50821, 51085, 61805, 50806, 51461, 65294, 55540, 73953, 58429, 56977, 77535, 50921, 50900, 78919, 57419, 55725, 50821, 51146, 53247, 60312, 59050, 62656, 50821, 51430, 50821, 51085, 61805, 50806, 51461, 72208, 60312, 59050, 58429, 56977, 62656, 50821, 51430, 66728, 78919, 52931, 60312, 59050, 62656, 50821, 51430, 50821, 51085, 61805, 50806, 51461, 51055, 51057, 55540, 73953, 58429, 56977, 77535, 50921, 50900, 78919, 58718, 55725, 50821, 51146, 53113, 60312, 72472, 77535, 50821, 51430, 50821, 51279, 72066, 50806, 52419, 66808, 60312, 59050, 58429, 56244, 77535, 50821, 51430, 66728, 59368, 57442, 52309, 60312, 50880, 50946, 77535, 52236, 50332, 52236, 50289, 72066, 50806, 52419, 51055, 50435, 55725, 50921, 51146, 50921, 51057, 60312, 73953, 58429, 79905, 51430, 50921, 50900, 59368, 57442, 58718, 67283, 50821, 51339, 53113, 60312, 63430, 63037, 50821, 71433, 51430, 50821, 51120, 59238, 70420, 66808, 55725, 63430, 56674, 56244, 63037, 50821, 71433, 51146, 69858, 57926, 57442, 52309, 54269, 63430, 63037, 50821, 71433, 51120, 59238, 70420, 51055, 51057, 50848, 56674, 56244, 59238, 57926, 57442, 58718, 55725, 50821, 51146, 53113, 55725, 78750, 63037, 50821, 62679, 73261, 51214, 67899, 64332, 66808, 55725, 76768, 56674, 56977, 63037, 50821, 62679, 73261, 51086, 59238, 57926, 56294, 52309, 60312, 59050, 62219, 50821, 62679, 51430, 50821, 51085, 61805, 50806, 51461, 51055, 51057, 60312, 59050, 58429, 56977, 62219, 50821, 62679, 51430, 66728, 78919, 52774, 68380, 50921, 51217, 50806, 51487, 50921, 51841, 50806, 51315, 50806, 51493, 51055, 50423, 53208, 50921, 50951, 55889, 55715, 73953, 58429, 56977, 68053, 50921, 50900, 78919, 57200, 53208, 50821, 50951, 52686, 67283, 51388, 51085, 62656, 51388, 51062, 51388, 51339, 51388, 51461, 51055, 51057, 60312, 78078, 56977, 61805, 78919, 62656, 77535, 50806, 51430, 52774, 60312, 50921, 51164, 50806, 51430, 50921, 51050, 50806, 51140, 51055, 50423, 55725, 50921, 51146, 55889, 63913, 50921, 50946, 66959, 50806, 51399, 50921, 51027, 59238, 57926, 57200, 55725, 50821, 51146, 52686, 60312, 50921, 50988, 50806, 51430, 50921, 51214, 67899, 64332, 51055, 50435, 55725, 50921, 51146, 50921, 51057, 54269, 50921, 51042, 56674, 56977, 65332, 50921, 51086, 59238, 57926, 56294, 58718, 56268, 50821, 51220, 53113, 55540, 78078, 56977, 61805, 78919, 77535, 76313, 52247, 68380, 51192, 50951, 51192, 51487, 69657, 50761, 50334, 51192, 50999, 51192, 51787, 51192, 51057, 67283, 73735, 50806, 51339, 52774, 60312, 59050, 62656, 50821, 51430, 50821, 51085, 61805, 50806, 51461, 66808, 60312, 59050, 58429, 56977, 62656, 50821, 51430, 66728, 78919, 52309, 60312, 59050, 62656, 50821, 51430, 50821, 51085, 61805, 50806, 51461, 51055, 51057, 55540, 73953, 58429, 56977, 77535, 50921, 50900, 78919, 58718, 55725, 50821, 51146, 53113, 60312, 59050, 62656, 50821, 51430, 50821, 51085, 61805, 50806, 51461, 66808, 60312, 59050, 58429, 56977, 62656, 50821, 51430, 66728, 78919, 52309, 60312, 59050, 62656, 50821, 51430, 50821, 51085, 61805, 50806, 51461, 51055, 51057, 55540, 73953, 58429, 56977, 77535, 50921, 50900, 78919, 58718, 55725, 50821, 51146, 53113, 60312, 72472, 77535, 50821, 51430, 50821, 51279, 72066, 50806, 52419, 66808, 60312, 59050, 58429, 56244, 77535, 50821, 51430, 66728, 59368, 57442, 52309, 60312, 50880, 50946, 77535, 52236, 50332, 52236, 50289, 72066, 50806, 52419, 51055, 50435, 55725, 50921, 51146, 50921, 51057, 60312, 73953, 58429, 79905, 51430, 50921, 50900, 59368, 57442, 58718, 67283, 50821, 51339, 53113, 60312, 63430, 63037, 50821, 71433, 51430, 50821, 51120, 59238, 70420, 66808, 55725, 63430, 56674, 56244, 63037, 50821, 71433, 51146, 69858, 57926, 57442, 52309, 54269, 63430, 63037, 50821, 71433, 51120, 59238, 70420, 51055, 51057, 50848, 56674, 56244, 59238, 57926, 57442, 58718, 55725, 50821, 51146, 53113, 55725, 78750, 63037, 50821, 62679, 73261, 51214, 67899, 64332, 66808, 55725, 76768, 56674, 56977, 63037, 50821, 62679, 73261, 51086, 59238, 57926, 56294, 52309, 60312, 59050, 62219, 50821, 62679, 51430, 50821, 51085, 61805, 50806, 51461, 51055, 51057, 60312, 59050, 58429, 56977, 62219, 50821, 62679, 51430, 66728, 78919, 52774, 68380, 50921, 51217, 50806, 51487, 50921, 51841, 50806, 51315, 50806, 51493, 51055, 50423, 53208, 50921, 50951, 55889, 55715, 73953, 58429, 56977, 68053, 50921, 50900, 78919, 57200, 53208, 50821, 50951, 52686, 67283, 51388, 51085, 62656, 51388, 51062, 51388, 51339, 51388, 51461, 51055, 51057, 60312, 78078, 56977, 61805, 78919, 62656, 77535, 50806, 51430, 52774, 60312, 50921, 51164, 50806, 51430, 50921, 51050, 50806, 51140, 51055, 50423, 55725, 50921, 51146, 55889, 63913, 50921, 50946, 66959, 50806, 51399, 50921, 51027, 59238, 57926, 57200, 55725, 50821, 51146, 52686, 60312, 50921, 50988, 50806, 51430, 50921, 51214, 67899, 64332, 51055, 50435, 55725, 50921, 51146, 50921, 51057, 54269, 50921, 51042, 56674, 56977, 65332, 50921, 51086, 59238, 57926, 56294, 58718, 56268, 50821, 51220, 53113, 55540, 78078, 56977, 61805, 78919, 77535, 76313, 52309, 50761, 50340, 51834, 50292, 50806, 52206, 72676, 77535, 52362, 50332, 52362, 50340, 50923, 51461, 50806, 52323, 53250, 59771, 53077, 57817, 53771, 51056, 50885, 51056, 51085, 65430, 51056, 51461, 51417, 54933, 53116, 53771, 51056, 73948, 79605, 50909, 74669, 61317, 50876, 75065, 51057, 53771, 64263, 51458, 50292, 60581, 50873, 51461, 51056, 54933, 56933, 53077, 53932, 53250, 57609, 54703, 58649, 61027, 57094, 56964, 53946, 54726, 54477, 53077, 53049, 53771, 55109, 51458, 50292, 60581, 50873, 51461, 51056, 54933, 52667, 53771, 56291, 54703, 58649, 61027, 57094, 56964, 53946, 59325, 51057, 53771, 55109, 51458, 50292, 60581, 50873, 51461, 51056, 54933, 53223, 53250, 57609, 54703, 58649, 61027, 57094, 56964, 53946, 54726, 54477, 53077, 53049, 53771, 59157, 51458, 50289, 71942, 50873, 52419, 51056, 54933, 52667, 53771, 57609, 54954, 58649, 61027, 58800, 56964, 53946, 51406, 54665, 53771, 50833, 51057, 53771, 68710, 51458, 50289, 71942, 50873, 52419, 51056, 54933, 56933, 53771, 53932, 53771, 57609, 54954, 58649, 61027, 58800, 56964, 53946, 54726, 54477, 53407, 53049, 53771, 51393, 50297, 51241, 51247, 51241, 51050, 51241, 51140, 51241, 54933, 52667, 53077, 55664, 54954, 66362, 57934, 58800, 59353, 53946, 59325, 51057, 53077, 55664, 54954, 66362, 57934, 58800, 59353, 50873, 54933, 53223, 56213, 54172, 54726, 54477, 53250, 53049, 53077, 60148, 51458, 50287, 69324, 50873, 73964, 54933, 52667, 53077, 55664, 57749, 66362, 57934, 57094, 62879, 59353, 53946, 59325, 51057, 53077, 60148, 51458, 50287, 69324, 50873, 73964, 54933, 53223, 56213, 62764, 57749, 66362, 57934, 57094, 62879, 59353, 53946, 54726, 54477, 53250, 53049, 53077, 60148, 51458, 50287, 69324, 50873, 73964, 54933, 52667, 53077, 55664, 57749, 66362, 57934, 57094, 62879, 59353, 53946, 59325, 51057, 53077, 60148, 51458, 50287, 69324, 50873, 73964, 54933, 53223, 56213, 62764, 57749, 66362, 57934, 57094, 62879, 59353, 53946, 54726, 54477, 53250, 53049, 53077 ]

[ 0, 250, 748, 1879, 15525, 3495, 2214, 19, 10, 25306, 27456, 6, 42, 2125, 7630, 6568, 10, 11739, 9, 1619, 9450, 8, 9066, 2821, 16235, 6, 326, 25963, 19, 10, 11602, 9, 15073, 4, 8504, 11, 5, 762, 9, 12608, 538, 8, 3185, 30, 10, 20902, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 11577, 3222, 5785, 9, 13305, 6, 21979, 8, 3459, 29589, 6, 9590, 6, 8, 21072, 4, 20, 33215, 16739, 9, 163, 428, 6, 12608, 6, 272, 6, 2060, 119, 1176, 406, 6, 8, 12608, 31473, 10, 16141, 12117, 7, 42, 15352, 30054, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 63515, 50796, 56020, 50979, 51072, 50435, 50979, 65196, 50872, 67413, 50847, 50802, 56451, 51346, 51176, 52312, 50288, 51346, 54733, 51346, 51513, 51637, 51536, 51637, 52652, 51637, 50801, 50376, 52054, 56241, 50833, 50416, 50992, 51029, 50422, 50965, 50912, 67030, 51001, 61605, 54325, 51197, 52312, 50300, 51346, 50885, 51346, 50979, 73504, 55595, 63023, 51150, 68519, 50912, 50965, 50912, 67030, 51964, 52423, 56439, 77745, 50992, 52057, 51930, 51346, 51176, 52312, 50283, 51346, 52746, 51346, 52007, 51637, 51223, 51637, 51513, 51637, 50801, 56241, 50833, 50440, 50939, 61409, 50965, 50912, 67030, 51001, 61605, 54823, 51150, 51346, 51197, 52312, 50300, 51346, 50885, 51346, 50979, 51346, 51964, 73504, 53507, 67509, 50909, 61046, 50956, 50912, 50965, 50912, 50876, 57064, 56439, 50912, 53788, 51346, 51085, 52312, 50280, 51346, 51964, 51346, 51368, 51637, 51350, 51637, 51250, 51637, 50801, 56241, 50833, 50416, 50847, 51029, 63686, 50912, 70088, 50861, 61605, 54325, 51214, 52312, 50292, 51346, 51217, 51346, 50988, 73504, 55595, 65197, 50852, 71484, 51984, 50808, 51026, 50912, 74094, 70088, 52533, 52423, 54447, 62127, 57455, 50847, 53925, 52078, 51346, 51085, 52312, 50275, 51346, 51869, 51346, 51915, 51637, 51726, 51637, 51368, 51637, 50801, 56241, 50833, 50440, 50939, 50993, 68121, 50912, 70088, 50861, 61605, 54823, 51984, 51346, 51214, 52312, 50292, 51346, 51217, 51346, 50988, 51346, 52533, 73504, 53507, 50833, 50452, 50992, 59868, 51026, 50912, 74094, 50916, 57064, 56439, 50912, 65331, 51204, 51360, 52312, 50281, 51346, 63716, 51204, 52007, 51637, 51262, 51637, 51781, 51637, 50801, 56241, 67972, 56727, 50422, 51040, 50912, 66398, 50965, 61605, 54325, 51503, 52312, 50293, 51346, 51164, 51346, 51396, 73504, 71457, 50428, 50872, 62751, 52318, 50808, 51176, 50912, 51040, 50912, 66398, 63716, 52423, 56062, 61605, 57455, 50872, 55276, 51522, 51346, 51360, 52312, 50276, 51346, 54733, 51346, 52899, 51637, 51425, 51637, 52007, 51637, 50801, 56241, 50833, 50440, 51017, 51072, 50446, 51040, 50912, 66398, 50965, 61605, 54823, 52318, 50805, 51503, 52312, 50293, 51346, 51164, 51346, 51396, 51346, 63716, 52918, 53507, 50833, 50452, 50872, 51066, 50458, 51522, 50808, 51176, 50912, 51040, 50912, 66398, 54733, 52423, 56439, 50912, 56451, 51346, 51176, 52312, 50288, 51346, 54733, 51346, 51513, 51637, 51536, 51637, 52652, 51637, 50801, 56241, 67972, 50979, 51009, 63173, 50984, 50422, 50965, 50912, 67030, 51001, 61605, 54325, 51197, 52312, 50300, 51346, 50885, 51346, 50979, 73504, 55595, 65197, 50856, 50984, 50434, 51150, 68519, 50912, 50965, 50912, 67030, 51964, 52423, 56062, 61605, 53415, 51930, 51346, 51176, 52312, 50283, 51346, 52746, 51346, 52007, 51637, 51223, 51637, 51513, 51637, 50801, 56241, 50833, 50440, 51396, 61409, 50965, 50912, 67030, 51001, 61605, 54626, 51150, 51346, 51197, 52312, 50300, 51346, 50885, 51346, 50979, 51346, 51964, 73504, 53507, 67509, 51037, 61046, 50956, 50912, 50965, 50912, 50876, 57064, 56439, 50912, 56451, 51346, 51176, 54558, 50288, 51346, 54733, 51346, 51513, 51637, 51536, 51637, 52652, 51637, 50801, 56241, 67972, 50885, 51352, 50422, 50956, 51123, 50965, 51123, 50876, 50368, 51024, 54325, 51197, 54558, 50300, 51346, 50885, 51346, 50979, 73504, 55595, 63023, 51150, 68519, 51123, 50965, 51123, 50876, 51123, 51964, 52423, 56062, 61605, 54793, 51930, 51346, 51176, 54558, 50283, 51346, 52746, 51346, 52007, 51637, 51223, 51637, 51513, 51637, 50801, 56241, 64661, 50956, 51123, 50965, 51123, 50876, 50368, 51024, 54823, 51150, 51346, 51197, 54558, 50300, 51346, 50885, 51346, 50979, 51346, 51964, 73504, 53507, 67509, 50979, 61046, 50956, 51123, 50965, 51123, 50876, 63907, 56062, 61605, 58247, 56727, 56451, 51346, 51176, 54558, 50288, 51346, 54733, 51346, 51223, 51637, 51513, 51637, 51781, 51637, 50801, 56241, 62642, 50956, 51123, 50965, 51123, 50876, 50368, 51024, 54325, 51197, 54558, 50300, 51346, 50885, 51346, 50979, 73504, 55595, 62209, 50979, 51072, 50434, 51150, 68519, 51123, 50965, 51123, 50876, 51123, 51964, 52423, 56062, 61605, 54793, 51930, 51346, 51176, 54558, 50283, 51346, 52746, 51346, 52007, 51637, 51223, 51637, 51513, 51637, 50801, 56241, 50833, 50440, 51017, 51066, 50446, 50956, 51123, 50965, 51123, 50876, 50368, 51024, 54823, 51150, 51346, 51197, 54558, 50300, 51346, 50885, 51346, 50979, 51346, 51964, 73504, 53507, 67509, 50885, 51066, 50458, 50956, 51123, 50965, 51123, 50876, 63907, 56062, 61605, 50912, 55970, 51346, 51197, 54558, 50283, 51346, 57279, 51346, 51436, 51637, 51250, 51637, 51543, 51637, 50801, 56241, 67972, 51037, 51184, 66345, 51123, 50956, 51123, 50861, 50368, 51024, 54325, 51234, 54558, 50295, 51346, 50988, 51346, 51037, 73504, 55595, 63023, 51098, 50808, 50997, 51123, 50956, 51123, 50861, 51123, 53366, 52423, 56439, 54793, 51261, 51346, 51197, 54558, 50278, 51346, 53038, 51346, 52191, 51637, 51368, 51637, 51436, 51637, 50801, 56241, 64661, 50997, 51123, 50956, 51123, 50861, 50368, 51024, 54823, 51098, 51346, 51234, 54558, 50295, 51346, 50988, 51346, 51037, 51346, 53366, 73504, 53507, 63569, 50997, 51123, 50956, 51123, 50861, 63907, 56439, 50912, 55970, 51346, 51197, 54558, 50283, 51346, 57279, 51346, 51368, 51637, 51436, 51637, 51513, 51637, 50801, 56241, 50833, 63173, 50984, 66345, 51123, 50956, 51123, 50861, 50368, 51024, 56779, 50979, 65084, 51234, 54558, 50295, 51346, 50988, 51346, 51037, 73504, 55595, 63023, 51098, 50808, 50997, 51123, 50956, 51123, 50861, 51123, 53366, 52423, 56439, 54793, 51261, 51346, 51197, 54558, 50278, 51346, 53038, 51346, 52191, 51637, 51368, 51637, 51436, 51637, 50801, 56241, 65833, 50872, 61409, 50997, 51123, 50956, 51123, 50861, 50368, 51024, 54823, 51098, 51346, 51234, 54558, 50295, 51346, 50988, 51346, 51037, 51346, 53366, 73504, 53507, 50833, 50452, 50847, 61046, 50997, 51123, 50956, 51123, 50861, 63907, 56439, 50912, 56451, 51204, 51176, 52312, 50288, 51346, 54733, 51204, 51513, 51637, 51536, 51637, 52652, 51637, 50801, 56241, 50833, 50416, 50992, 51029, 63173, 50984, 50422, 50965, 50912, 67030, 51001, 61605, 54325, 51197, 52312, 50300, 51346, 50885, 51346, 50979, 73504, 55595, 65197, 50856, 50984, 50434, 51522, 68519, 50912, 50965, 50912, 67030, 54733, 52423, 56062, 61605, 66144, 50992, 52057, 51930, 51346, 51176, 52312, 50283, 51346, 52746, 51346, 52007, 51637, 51223, 51637, 51513, 51637, 50801, 56241, 50833, 50440, 50939, 63999, 50965, 50912, 67030, 51001, 50912, 50909, 55415, 54626, 51522, 50805, 51197, 52312, 50300, 51346, 50885, 51346, 50979, 51346, 54733, 52918, 53507, 63569, 51930, 68519, 50912, 50965, 50912, 67030, 52746, 52423, 56062, 61605, 58247, 50847, 51009, 53788, 51346, 51085, 52312, 50280, 51346, 51964, 51346, 51368, 51637, 51350, 51637, 51250, 51637, 50801, 56241, 62642, 74094, 70088, 50861, 61605, 54325, 51214, 52312, 50292, 51346, 51217, 51346, 50988, 73504, 55595, 63023, 51984, 50808, 51026, 50912, 74094, 70088, 52533, 52423, 56062, 61605, 77745, 50847, 53925, 52078, 51346, 51085, 52312, 50275, 51346, 51869, 51346, 51915, 51637, 51726, 51637, 51368, 51637, 50801, 56241, 58935, 50939, 51066, 68121, 50912, 70088, 50861, 61605, 54823, 51984, 51346, 51214, 52312, 50292, 51346, 51217, 51346, 50988, 51346, 52533, 73504, 53507, 50833, 50452, 50992 ]

[ 0, 250, 15352, 30054, 5175, 3495, 2214, 19, 10, 2933, 26438, 1264, 6, 278, 11, 5, 762, 9, 12608, 538, 8, 6780, 10, 1769, 20889, 9, 9680, 13410, 228, 2289, 11, 204, 73, 306, 86, 4, 20, 15229, 3905, 10, 33215, 16739, 9, 12608, 6, 274, 6, 272, 6, 163, 428, 6, 8, 274, 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 ]

[ 58375, 50871, 51049, 52227, 55456, 50800, 50748, 50309, 51036, 57839, 51036, 55961, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 67397, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 59191, 54994, 50871, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 53365, 58988, 56027, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 57839, 51036, 55961, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 67397, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 65777, 54994, 50871, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 53365, 58988, 56027, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 50748, 50309, 51036, 57839, 51036, 55961, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 67397, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 59191, 54994, 50871, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 53365, 58988, 56027, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 57839, 51036, 55961, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 67397, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 65777, 54994, 50871, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 53365, 58988, 56027, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 50748, 50309, 51036, 57839, 51036, 55961, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 67397, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 59191, 54994, 50871, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 53365, 58988, 56027, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 57839, 51036, 55961, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 67397, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 65777, 54994, 50871, 78362, 50931, 77763, 50931, 51049, 51724, 51050, 53365, 58988, 56027, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 50748, 50309, 51036, 76549, 57839, 51036, 55961, 51049, 52296, 53289, 51620, 50931, 53365, 51634, 73078, 50931, 51049, 51724, 51050, 67397, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 76549, 59191, 54994, 50871, 51049, 52296, 53289, 51620, 50931, 53365, 51634, 73078, 50931, 51049, 51724, 51050, 53365, 58988, 56027, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 76549, 57839, 51036, 55961, 51049, 52296, 53289, 51620, 50931, 53365, 51634, 73078, 50931, 51049, 51724, 51050, 67397, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 54578, 53365, 76549, 65777, 54994, 50871, 51049, 52296, 53289, 51620, 50931, 53365, 51634, 73078, 50931, 51049, 51724, 51050, 53365, 58988, 56027, 51050, 51049, 51757, 51247, 53365, 51647, 51754, 51247, 53365, 50799, 51634, 52296, 53289, 51620, 51634, 51161, 50438, 79151, 52045, 50799, 50748, 50309, 51036, 51528, 52227, 55456, 50800, 52042, 76175, 51068, 50800, 51528, 50800, 52556, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 76175, 51068, 50800, 51528, 50800, 54048, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 51036, 50748, 50309, 76175, 51068, 50800, 51528, 50800, 52556, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 51036, 51634, 52296, 53289, 51620, 51634, 51161, 50438, 51068, 50800, 51528, 50800, 54048, 50918, 50423, 50798, 52262, 50798, 51724, 51068, 50800, 52293, 50918, 51528, 50800, 52042, 51036, 50748, 50309, 76175, 51068, 50800, 51528, 50800, 52556, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 76175, 51068, 50800, 51528, 50800, 54048, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 51036, 50748, 50309, 76175, 51068, 50800, 51528, 50800, 52556, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 51036, 51634, 52296, 53289, 51620, 51634, 51161, 50438, 51068, 50800, 51528, 50800, 54048, 50918, 50423, 50798, 52262, 50798, 51724, 51068, 50800, 52293, 50918, 51528, 50800, 52042, 51036, 50748, 50309, 76175, 51068, 50800, 51528, 50800, 52556, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 76175, 51068, 50800, 51528, 50800, 54048, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 51036, 50748, 50309, 76175, 51068, 50800, 51528, 50800, 52556, 56039, 51068, 50800, 52293, 50918, 69725, 50800, 51528, 50800, 52042, 51036, 51634, 52296, 53289, 51620, 51634, 51161, 50438, 51068, 50800, 79151, 52045, 51528, 50800, 54048, 50918, 50423, 50798, 52262, 50798, 51724, 51068, 50800, 52293, 50918, 57752, 55456, 50800, 50748, 50309, 51036, 51593, 50918, 57839, 61899, 53253, 56039, 51593, 56811, 53253, 50918, 50799, 52074, 50918, 59191, 55834, 53824, 56039, 51839, 50918, 58988, 56811, 53468, 50918, 50799, 51593, 50918, 57839, 61899, 53253, 56039, 51593, 56811, 53253, 50918, 50799, 50748, 50309, 51036, 52856, 50918, 65777, 55834, 60219, 56039, 51839, 50918, 58988, 56811, 53468, 50807, 50799, 51593, 50918, 57839, 61899, 53253, 56039, 51593, 51798, 53253, 50795, 50799, 52074, 50918, 59191, 55834, 53824, 56039, 51839, 50918, 58988, 56811, 53468, 50918, 50799, 51593, 50918, 57839, 61899, 53253, 56039, 51593, 51757, 53253, 50800, 50799, 52856, 50918, 65777, 55834, 60219, 56039, 51839, 50918, 58988, 56811, 53468, 52567, 53468, 50800, 51528, 51049, 52154, 52227, 55456, 50800, 51593, 50918, 57839, 51036, 65250, 56392, 53253, 50918, 51570, 56392, 51593, 50918, 52129, 64824, 51049, 56392, 53253, 50918, 53462, 50800, 51528, 51049, 56392, 52074, 50918, 59191, 50918, 65250, 56392, 53824, 50918, 51570, 56392, 51839, 50918, 58988, 50918, 52129, 64824, 51049, 56392, 53468, 50918, 53462, 50800, 51528, 51049, 56392, 51593, 50918, 57839, 51036, 65250, 56392, 53253, 50918, 51570, 56392, 51593, 50918, 52129, 64824, 51049, 56392, 53253, 50918, 53462, 50800, 53028, 56392, 52856, 50918, 65777, 54994, 50798, 52296, 50798, 61408, 51049, 56392, 60219, 50918, 51450, 51049, 56392, 51839, 50918, 58988, 50918, 52129, 64824, 51049, 56392, 53468, 50807, 51528, 51049, 52154, 52227, 55456, 50800, 51593, 50918, 57839, 51036, 65250, 56392, 53253, 50918, 51570, 56392, 51593, 51918, 50798, 64824, 51049, 56392, 53253, 51923, 50798, 50800, 51528, 51049, 56392, 52074, 50918, 59191, 50918, 65250, 56392, 53824, 50918, 51570, 56392, 51839, 50918, 58988, 50918, 52129, 64824, 51049, 56392, 53468, 50918, 53462, 50800, 51528, 51049, 56392, 51593, 50918, 57839, 51036, 65250, 56392, 53253, 50918, 51570, 56392, 51593, 51820, 50798, 64824, 51049, 56392, 53253, 51754, 50798, 50800, 53028, 56392, 52856, 50918, 65777, 54994, 50798, 52296, 50798, 61408, 51049, 56392, 60219, 50918, 51450, 51049, 56392, 51839, 50918, 58988, 50918, 52129, 64824, 51049, 56392, 53468, 52567, 53468, 50800, 50799, 54747, 51036, 50799, 57178, 56039, 55617, 50918, 50799, 54747, 51036, 50799, 56242, 56039, 55617, 50918, 51528, 52227, 55456, 50800, 54747, 76175, 51068, 50800, 51528, 50800, 57178, 56039, 51068, 50800, 55617, 50918, 69725, 50800, 51528, 50800, 54747, 76175, 51068, 50800, 51528, 50800, 56242, 56039, 51068, 50800, 55617, 50918, 69725, 50800, 51528 ]

[ 0, 250, 765, 6, 15352, 30054, 5175, 2125, 19, 10, 2842, 9, 3495, 6, 4246, 10, 38668, 2236, 483, 7513, 30, 13305, 6, 5921, 3343, 1290, 642, 5255, 6, 3459, 9590, 6, 8, 21072, 6, 70, 8216, 7, 10, 1372, 8, 19448, 5466, 6, 157, 12, 9228, 4560, 13, 2365, 9629, 6, 20307, 23, 10, 7212, 20889, 9, 12730, 741, 1685, 11, 10, 204, 73, 306, 86, 6543, 6, 4212, 11, 5, 762, 9, 83, 538, 6, 19, 10, 33215, 13931, 9, 2060, 119, 406, 6, 83, 6, 163, 401, 6, 83, 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 ]

[ 57739, 53005, 66888, 61411, 50811, 77603, 50975, 53257, 50803, 67533, 50823, 52129, 51052, 50823, 51899, 51052, 50802, 53257, 63428, 54871, 64581, 74913, 50975, 77603, 50802, 53257, 64453, 54496, 55094, 67533, 50823, 52129, 51052, 50823, 51899, 51052, 50881, 50597, 52163, 64581, 74913, 66888, 50803, 77603, 50802, 53257, 64453, 50811, 67533, 50823, 52129, 51052, 68209, 53798, 57003, 54886, 51052, 51052, 50975, 51553, 50881, 50597, 53532, 55635, 50823, 56083, 60111, 54224, 50860, 56413, 64776, 53973, 50823, 51453, 50975, 51456, 50823, 50799, 57003, 50823, 51440, 50918, 52361, 71365, 51337, 53005, 51059, 50852, 58197, 51125, 51337, 50421, 57003, 62643, 50850, 53803, 62250, 50993, 53621, 59080, 51337, 51125, 51337, 61949, 51059, 53257, 56998, 53335, 57102, 55213, 52726, 53204, 54496, 51875, 52952, 58012, 50975, 53204, 50860, 51440, 50818, 52043, 50807, 51944, 51036, 50944, 51337, 74088, 53005, 63523, 53204, 52466, 51052, 63058, 50944, 54185, 60388, 51009, 52361, 51161, 50944, 51337, 74088, 61949, 50975, 53257, 52163, 51875, 51156, 72430, 51875, 50803, 50799, 52607, 52466, 51052, 51059, 50415, 50944, 60209, 61910, 66214, 50420, 52607, 50823, 50944, 54104, 66214, 50424, 50944, 50959, 77603, 50975, 53257, 53300, 50944, 51337, 50850, 51412, 50432, 62250, 50823, 52607, 50811, 53335, 51370, 51066, 50435, 55094, 50436, 52607, 52952, 58012, 50823, 53621, 50802, 52043, 50795, 51929, 50918, 51808, 50918, 50992, 51337, 50935, 51412, 53005, 62186, 62250, 50824, 53335, 50983, 53005, 70048, 53621, 50823, 50992, 54185, 50992, 51337, 61949, 51059, 53257, 57365, 50935, 51337, 50453, 55213, 52884, 53621, 54871, 57003, 50803, 50799, 55871, 50975, 51507, 50975, 52593, 50823, 52435, 50918, 51944, 50918, 51440, 60695, 51337, 51017, 51337, 53005, 51059, 50852, 52244, 57003, 60134, 51017, 53803, 58424, 50975, 51808, 60695, 51337, 51017, 51337, 61949, 51059, 53257, 53300, 53621, 52726, 51875, 52674, 51875, 52952, 60388, 50975, 53204, 50823, 51944, 50818, 51440, 50918, 52361, 60695, 51337, 74088, 53005, 62186, 51875, 51670, 51052, 70048, 53204, 50823, 50944, 54185, 56333, 50993, 51669, 60695, 51337, 74088, 61949, 50975, 53257, 53532, 53204, 50823, 51453, 72430, 53204, 50811, 50799, 56333, 51029, 52607, 50823, 51944, 50918, 51440, 50818, 52043, 50918, 50944, 51337, 74088, 51149, 51337, 53005, 64146, 52607, 60134, 50944, 53803, 74088, 50944, 51337, 51149, 51337, 61949, 50975, 53257, 52119, 52607, 51156, 51066, 50435, 52607, 51670, 52676, 58012, 51059, 53621, 50802, 52043, 50918, 53335, 50918, 50992, 51337, 53005, 50993, 50439, 54797, 50918, 50935, 51337, 52129, 51052, 70048, 53621, 50823, 50992, 54185, 50992, 51337, 50935, 51337, 61949, 51059, 53257, 53532, 53204, 52884, 55213, 54871, 53621, 50811, 50799, 57003, 50823, 51440, 50918, 52361, 50918, 52807, 55541, 51337, 51125, 51337, 53005, 51059, 50852, 58197, 59454, 62420, 57003, 60134, 50850, 53803, 62250, 50975, 53621, 50811, 53335, 55541, 51337, 51125, 51337, 61949, 51059, 53257, 53300, 55213, 52726, 53204, 54496, 51875, 52952, 58012, 50975, 53204, 50823, 51944, 51036, 51440, 51036, 52043, 55541, 51337, 50944, 51337, 53005, 62186, 53204, 50860, 53005, 50993, 50448, 50944, 53140, 60388, 54217, 74088, 61949, 50975, 53257, 57365, 52361, 60695, 51337, 50456, 51875, 51156, 72430, 51875, 50811, 50799, 52607, 50823, 50944, 53983, 51052, 51059, 50417, 57134, 50944, 53728, 52607, 50823, 50944, 55754, 66214, 50944, 50959, 77603, 50975, 53257, 56998, 62250, 50993, 53335, 57102, 74088, 50430, 50944, 75359, 52607, 51156, 51066, 50435, 52607, 51520, 52676, 58012, 52737, 53621, 50976, 50992, 51337, 50935, 51337, 53005, 50993, 50439, 51929, 50918, 51808, 50918, 52043, 51918, 62250, 52299, 51052, 50993, 50445, 53335, 50983, 50447, 53621, 50823, 50992, 54185, 50992, 51337, 50935, 51337, 61949, 51059, 53257, 53532, 55213, 60370, 53621, 52937, 57003, 50811, 50799, 55871, 50975, 52593, 50823, 52435, 50918, 51944, 50918, 51440, 63296, 51337, 50944, 51337, 53005, 51059, 50852, 52244, 57003, 67233, 51017, 53803, 58424, 50975, 51808, 60695, 51337, 51017, 51412, 61949, 51059, 53257, 53300, 53621, 52726, 51875, 54496, 51875, 52057, 60388, 50975, 53204, 50860, 51440, 50918, 51944, 50818, 52361, 60695, 51337, 74088, 53005, 62186, 51875, 51670, 51052, 63058, 53204, 50823, 50944, 54185, 56333, 50993, 51669, 55541, 51337, 50944, 51337, 61949, 50975, 53257, 53532, 53204, 50823, 51453, 72430, 53204, 50811, 50799, 58012, 51059, 52607, 50823, 53714, 50823, 52408, 50823, 52043, 50918, 53005, 51059, 50415, 50944, 51337, 74088, 51149, 51337, 50420, 52607, 50823, 52408, 62643, 50944, 53803, 74088, 50944, 51337, 51149, 51412, 61949, 50975, 53257, 56998, 53134, 54179, 52607, 50811, 53134, 51805, 51066, 50435, 55094, 50436, 52607, 52952, 53621, 50823, 52361, 50918, 50992, 51337, 50935, 51337, 53005, 51066, 50439, 53190, 50823, 52751, 50823, 55013, 50823, 52043, 50918, 54797, 56027, 53621, 50975, 53190, 52466, 51052, 70048, 50992, 53140, 52751, 52791, 51052, 51059, 53257, 57365, 50992, 51337, 50935, 51337, 50453, 54133, 52884, 53621, 59616, 53621, 50803, 50799, 59326, 51407, 61404, 51407, 51944, 51036, 51614, 51036, 51440, 51036, 53005, 51059, 50852, 58197, 52607, 55804, 52607, 53213, 52607, 53537, 52607, 54886, 51052, 51059, 53257, 52119, 52607, 53925, 52607, 68117, 50993, 52945, 51918, 53005, 70048, 53621, 70290, 53565, 51798, 61949, 50975, 53257, 53532, 57003, 52884, 58232, 51156, 50993, 50457, 55102, 57814, 54224, 50811, 50799, 58061, 51059, 64747, 51059, 56333, 50823, 51660, 50918, 51929, 50918, 51808, 50918, 53005, 51059, 52888, 70628, 53621, 53213, 53621, 50823, 55102, 53244, 53621, 54886, 51052, 50975, 53257, 50803, 55102, 54372, 53621, 51156, 50993, 53565, 57907, 53621, 51670, 52676, 57003, 50823, 51440, 52221, 51052, 51066, 53565, 50967, 50439, 59326, 50975, 55871, 50975, 58424, 50975, 51944, 50807, 52361, 53218, 57003, 50860, 53005, 58348, 58061, 50802, 55871, 50802, 53621, 50975, 51660, 50807, 51929, 50807, 51808, 53030, 51052, 51059, 53257, 50803, 52945, 54093, 59326, 52737, 50460, 56417, 50807, 50799, 61404, 54217, 58061, 51059, 52607, 51670, 51052, 51059, 50852, 58197, 51614, 51036, 51944, 51036, 51440, 64163, 52607, 53213, 52607, 53537, 52607, 54886, 51052, 51059, 53257, 52119, 52607, 58212, 52607, 52952, 52607, 52466, 51052, 50993, 52945, 63322, 51875, 51670, 51052, 70048, 53621, 50811, 53565, 51798, 57003, 52791, 51052, 50975, 53257, 58268, 58232, 50811, 51453, 50993, 50457, 54224, 50811, 55102, 57814, 57920, 50811, 50799, 51929, 50918, 51660, 50918, 51808, 50918, 53005, 51059, 50415, 58061, 51059, 64747, 51352, 53274, 76794, 53621, 53213, 53621, 53537, 53621, 54886, 51052, 50975, 53257, 56998, 55102, 50865, 51361, 50993, 52689, 65536, 53621, 54496, 53621, 51670, 52676, 59326, 50975, 55871, 50993, 57003, 51670, 51052, 51066, 50439, 51944, 50807, 51440, 50807, 52361, 50807, 52945, 50967, 50442, 57003, 52940, 57003, 52466, 51052, 58348, 58424, 50993, 62250, 50802, 57920, 59511, 51052, 51059, 53257, 50803, 56806, 60720, 64747, 50975, 51929, 50807, 51808, 50807, 52043, 76679, 53274, 50795, 50460, 58012, 50824, 50799, 59326, 51407, 55871, 52737, 52607, 50811, 51944, 51036, 53005, 51059, 50852, 58197, 51614, 51036, 51440, 51036, 50418, 52607 ]

[ 0, 713, 765, 37903, 9, 5175, 930, 11, 272, 10431, 3694, 16, 20425, 8, 15352, 30054, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 26545, 4, 590, 41, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 13931, 9, 163, 6, 230, 10431, 6, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 51147, 58879, 50965, 55544, 50965, 56298, 51220, 56391, 50965, 57904, 51081, 53892, 50456, 51220, 54529, 62094, 57289, 50972, 56440, 55378, 50916, 57997, 51114, 52985, 50916, 62785, 51147, 58247, 51114, 51852, 52591, 50989, 56427, 50989, 58151, 51081, 57043, 50989, 60979, 51147, 52034, 50456, 51081, 72037, 50989, 51123, 57923, 55041, 50956, 54100, 50956, 55200, 51001, 52513, 50956, 51757, 51147, 56711, 50956, 50974, 57739, 51147, 58879, 50965, 55544, 50965, 56298, 51220, 56391, 50965, 57904, 51081, 53892, 50456, 51220, 54529, 62094, 57289, 50972, 56440, 55378, 50916, 57997, 51114, 52985, 50916, 62785, 51147, 58247, 51114, 51852, 52591, 50989, 56427, 50989, 58151, 51081, 57043, 50989, 60979, 51147, 52034, 50456, 51081, 72037, 50989, 51123, 57923, 55041, 50956, 54100, 50956, 55200, 51001, 52513, 50956, 51757, 51147, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 2635, 8, 15352, 30054, 3495, 1619, 2214, 11, 274, 538, 6, 4246, 10, 11739, 9, 13305, 6, 3459, 8, 21979, 29589, 6, 3459, 9590, 6, 8, 21072, 4, 590, 10, 20889, 9, 3337, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 11098, 8, 657, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57128, 50799, 52031, 51352, 51687, 52783, 51231, 51422, 51414, 52431, 56139, 51313, 56139, 52379, 52562, 51029, 51064, 51029, 51105, 51059, 51206, 57487, 52303, 53435, 51246, 54107, 52303, 53174, 51687, 53174, 51231, 53174, 51136, 53566, 50929, 51029, 51105, 59115, 62729, 51209, 50802, 51246, 51029, 74186, 51065, 51552, 50444, 51772, 50824, 52303, 51283, 51136, 63058, 51687, 51961, 50450, 52031, 50824, 51231, 51576, 50929, 57325, 51414, 77146, 51772, 50802, 75261, 51186, 50923, 50799, 51390, 51352, 51303, 54573, 51231, 52335, 51414, 52335, 52690, 51922, 52690, 52379, 51457, 51449, 79097, 51064, 51029, 79388, 51065, 51573, 50420, 51408, 50802, 51410, 53435, 50960, 54107, 51256, 50802, 51303, 53174, 51231, 53174, 51414, 53174, 51457, 53174, 50970, 53566, 51322, 51407, 51064, 51029, 57416, 51065, 62729, 79097, 51271, 51059, 51065, 51552, 50444, 50960, 54145, 51229, 67720, 57325, 51408, 50803, 51303, 51645, 50456, 51390, 50802, 51231, 51166, 62875, 51271, 66120, 51414, 50874, 79479, 51352, 51327, 50835, 51651, 51592, 61308, 51671, 54872, 52379, 51687, 51748, 51846, 50824, 51032, 51029, 51325, 51059, 51065, 51573, 50420, 51674, 50802, 51687, 53435, 51136, 54107, 51772, 50802, 51476, 53174, 51687, 53174, 51651, 53174, 51169, 53566, 51451, 51407, 51032, 51029, 51325, 59115, 62729, 51846, 50824, 74394, 51065, 51552, 50444, 51476, 51477, 51136, 54145, 51674, 50803, 51651, 51108, 51169, 57325, 51408, 52163, 51334, 50802, 51327, 50901, 75261, 52053, 50923, 50799, 51408, 51009, 51303, 52034, 51414, 51108, 55285, 51148, 51410, 51527, 51303, 51527, 51414, 51527, 51246, 51009, 74186, 51065, 51573, 50420, 51410, 51637, 51067, 65084, 51303, 51330, 50970, 53566, 51457, 51006, 69954, 51186, 59115, 62729, 51674, 51009, 51687, 52519, 53075, 51314, 51687, 51527, 51303, 51447, 51303, 51527, 51651, 52147, 51651, 51527, 51327, 51447, 51327, 51527, 51504, 51009, 51032, 51009, 50945, 51059, 51065, 51552, 50444, 50986, 65027, 51334, 50802, 51476, 55574, 50970, 54098, 51687, 51074, 77135, 57909, 50799, 51408, 51009, 56139, 51447, 52303, 51703, 51687, 51314, 51687, 51527, 51231, 51447, 51231, 51527, 51414, 51490, 51414, 51527, 52562, 51009, 51105, 51059, 51065, 51573, 50420, 50929, 63398, 51334, 50802, 51246, 53566, 75261, 51105, 59115, 62729, 51674, 51009, 51687, 52034, 51651, 51108, 61308, 51148, 51846, 51009, 51325, 51059, 51065, 51552, 50444, 51476, 51637, 51476, 51029, 51687, 51029, 51651, 51029, 51032, 63399, 51687, 51330, 51136, 50824, 51598, 50811, 56463, 55552, 52426, 50976, 65385, 58954, 51327, 51006, 77135, 74902, 69853, 51184, 51414, 52598, 51687, 52598, 56139, 51748, 56139, 52379, 52562, 51184, 51105, 51059, 51065, 51573, 52576, 50860, 61641, 56111, 52303, 53435, 50929, 51009, 52576, 50860, 61641, 54675, 51687, 53174, 51231, 53174, 52303, 53174, 51246, 51059, 52576, 50860, 61641, 54684, 52303, 53486, 51136, 51029, 51105, 59115, 51021, 52241, 50811, 59744, 54496, 61641, 51029, 52576, 73018, 51687, 52212, 51414, 51490, 51207, 51009, 74186, 51065, 51552, 50444, 50929, 65027, 52303, 74701, 71217, 51687, 52212, 51414, 51490, 51246, 54098, 56463, 60271, 53723, 50811, 76308, 51184, 51303, 52048, 51231, 51330, 51414, 51637, 51457, 51965, 52690, 51243, 52690, 52379, 51207, 51407, 51067, 51352, 79388, 51065, 51573, 61641, 50860, 52576, 62420, 51410, 51878, 51410, 53435, 66123, 61641, 50811, 52576, 54433, 52576, 50993, 61641, 59101, 51303, 53174, 51231, 53174, 51414, 53174, 51457, 53174, 50970, 71030, 51303, 52263, 50432, 51231, 52011, 51064, 50824, 57416, 51065, 51021, 52241, 50860, 59744, 55276, 51414, 51797, 50960, 51029, 51271, 51059, 51065, 51552, 52576, 51066, 61641, 63523, 51410, 52056, 50970, 54145, 51303, 72464, 51414, 52063, 51064, 54098, 51457, 50925, 62875, 51271, 66120, 51598, 50811, 56463, 50811, 73409, 52048, 51651, 51330, 51327, 51637, 61308, 51243, 54872, 52379, 51846, 51029, 51032, 51029, 51325, 51059, 51065, 51573, 52576, 50860, 61641, 56111, 51476, 51878, 51687, 53435, 51136, 51029, 52426, 50811, 65385, 54381, 52426, 50802, 65385, 52038, 51476, 53174, 51687, 53174, 51651, 53174, 51169, 61536, 51687, 52263, 50429, 52426, 50860, 65385, 54684, 51651, 52011, 51549, 51009, 51325, 59115, 74889, 65385, 51009, 52426, 73018, 51327, 51797, 51846, 51029, 74394, 51065, 51552, 50444, 51476, 52056, 51136, 54145, 51687, 72464, 51327, 52063, 51169, 54098, 75261, 52053, 66120, 57558, 50811, 50799, 51457, 50835, 51414, 51592, 55285, 51671, 52303, 52379, 51303, 51748, 51246, 50824, 51067, 51029, 74186, 51065, 51573, 52426, 50860, 65385, 56111, 51303, 53435, 50970, 50824, 51598, 50860, 56463, 54675, 51410, 53174, 51303, 53174, 51414, 53174, 51064, 50824, 51632, 50860, 57558, 54684, 51067, 51029, 51186, 59115, 51021, 56463, 50811, 51598, 54241, 51632, 51009, 57558, 58769, 51246, 50824, 51720, 51059, 51065, 51552, 50444, 51410, 51477, 50970, 54145, 51414, 51108, 51064, 54098, 51457, 50901, 68356, 51720, 66120, 51632, 50811, 57558, 50811, 69853, 51407, 51414, 51080, 56139, 51922, 56139, 52379, 52303, 51671, 51687, 52727, 51231, 51671, 52562, 51407, 51064, 51352, 51105, 51059, 51065, 51573, 51875, 51066, 61641, 68107, 52303, 53435, 51246, 54107, 51687, 53174, 51231, 53174, 51414, 53174, 51136, 50824, 52576, 50860, 61641, 54684, 73560, 51105, 59115, 51021, 52241, 50860, 59744, 55276, 51981, 50981, 51246, 51029, 51186, 58840, 51552, 61641, 50803, 52576, 61870, 58578, 52940, 51209, 51029, 51136, 50824, 51598, 50860, 56463, 62568, 51414, 51199, 73560, 51105, 54178, 51246, 50802, 62645, 76308, 51184, 51457, 51004, 51231, 51592, 51414, 52222, 52690, 51671, 52690, 52379, 51303, 51748, 51207, 51029, 51067, 51029, 79388, 51065, 51573, 52576, 50811, 61641, 55804, 52576, 50860, 61641, 56111, 51410, 53435, 50960, 64381, 52241, 50993, 59744, 59101, 51303, 53174, 51231, 53174, 51414, 53174, 51457, 53174, 50929, 53566, 51064, 51029, 57416, 51065, 51021, 51598, 50811, 56463, 54496, 61641, 51009, 52576, 73018, 50960, 51029, 51271, 51059, 51065, 51552, 50444, 51410, 51477, 50929, 54145, 51231, 51108, 51064, 54098, 51414, 50901, 61286, 51271, 66120, 56463, 50811, 73409, 52048, 51651, 51330, 51327, 51637, 61308, 51243, 54872, 52379, 51846, 51009, 51325, 51059, 51065, 51573, 52576, 50802, 61641, 52410, 51476, 51878, 51687, 53435, 64193, 52426, 50860, 65385, 54675, 51687, 53174, 51651, 53174, 51327, 53174, 77135, 52426, 50860, 65385, 66057, 51687, 52263, 50432, 51651, 52011, 51032, 50824, 51325, 59115, 51021, 52426, 50811, 65385, 54496, 52426, 50993, 65385, 61445, 51327, 51797, 51136, 51009, 52053, 58840, 51552, 50444, 51476, 52056, 51032, 50824, 51632, 50860, 57558, 54554, 51687, 72464, 51327, 52063, 51169, 50824, 51325, 54178, 64193, 72381, 51632, 50860, 57558, 50860, 66513, 52519, 55285, 51314, 51410, 51527, 51303, 51527, 51414, 51447, 51414, 51527, 51457, 52147, 51246, 51009, 74186, 51065, 51573, 65385, 50860, 52426, 52410, 51067, 51059, 51598, 50860, 56463, 54675, 51410, 55574, 50970, 50824, 51507, 50860, 55635, 54684, 51303, 51074, 69954, 51186, 59115, 51021, 55635, 50811, 51507, 54241, 52343, 51407, 60382, 51732, 50438, 51687, 52034, 51231, 51108, 56139, 51148, 52303, 51527, 51687, 51527, 51231, 51527, 52562, 51009, 51105, 51059, 51065, 51552, 50444, 52303, 51637, 50929, 65027 ]

[ 0, 250, 5679, 26709, 8, 19448, 25771, 2214, 4246, 10, 13305, 8, 38668, 11212, 6, 278, 11, 10, 2635, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 2125, 16, 11, 5, 762, 9, 230, 538, 6, 19, 10, 33215, 16739, 9, 274, 6, 272, 6, 8, 230, 4, 20, 33535, 5466, 8, 23975, 2369, 18795, 146, 24, 157, 12, 9228, 4560, 13, 822, 4391, 50, 2351, 10, 31220, 1737, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50439, 56698, 52059, 50445, 53248, 51337, 50453, 53075, 51079, 50460, 52326, 52431, 52591, 51476, 51680, 50427, 51303, 51878, 50436, 51981, 51480, 50446, 52287, 51346, 50454, 52684, 50362, 50410, 53465, 52337, 55796, 65527, 50455, 51981, 51692, 53075, 51381, 50461, 51476, 51797, 55753, 51303, 51194, 50428, 51249, 51680, 50436, 51327, 51535, 50443, 51825, 51110, 50451, 51981, 51238, 50459, 52287, 51379, 53069, 55390, 51242, 53171, 51714, 52684, 58651, 55314, 56515, 50425, 54369, 51470, 50431, 52326, 51174, 50437, 51476, 51592, 50444, 51465, 51680, 50451, 51249, 56458, 50460, 52287, 51419, 55746, 51981, 51101, 50433, 53655, 51101, 51825, 51422, 50435, 52684, 53753, 55796, 59189, 50436, 53679, 53898, 50439, 52326, 51174, 50445, 51410, 55437, 51303, 52222, 50459, 51249, 51680, 53069, 51981, 51400, 50428, 52287, 51159, 50439, 53171, 51116, 50449, 55796, 68086, 53361, 54249, 53679, 53259, 50450, 54310, 52071, 50451, 55285, 51079, 50457, 53075, 50866, 71965, 68582, 51410, 51448, 50426, 51303, 51328, 50433, 51414, 51172, 50441, 51303, 51419, 50442, 53171, 51241, 50452, 51414, 76172, 52932, 51173, 51809, 52684, 55844, 53465, 54249, 50417, 53075, 51233, 52287, 53753, 53171, 52919, 50423, 51476, 71202, 51303, 51079, 50436, 51476, 52059, 50443, 51303, 52482, 50450, 51476, 53161, 50457, 51303, 52034, 52177, 51476, 51101, 50425, 56139, 51243, 51981, 51449, 52932, 51103, 50427, 53361, 53487, 56679, 53651, 50431, 52303, 50873, 50436, 51687, 50849, 50442, 52303, 51328, 50448, 51687, 52482, 50449, 56822, 51477, 56336, 51592, 50456, 52303, 51645, 52177, 51687, 51642, 52932, 51048, 50425, 52303, 57181, 51981, 51592, 50435, 52287, 51518, 56698, 50972, 53465, 53413, 52684, 53201, 50436, 53171, 52140, 55796, 52829, 50441, 53248, 67139, 52326, 70792, 51476, 51101, 50457, 51303, 51277, 51601, 51476, 51242, 50422, 51825, 51241, 51303, 51542, 50430, 51476, 51194, 50437, 53075, 53801, 52287, 51945, 50444, 51476, 51242, 50451, 51303, 51097, 50457, 51476, 51242, 51601, 52326, 51100, 50421, 51476, 51111, 50428, 51327, 51241, 50433, 54369, 72737, 51825, 51714, 50441, 53655, 51212, 55796, 55844, 53679, 51717, 50447, 52326, 67763, 51410, 51884, 50460, 51303, 51309, 53069, 51249, 51642, 50427, 51303, 52482, 50435, 52287, 52195, 51249, 51411, 50444, 51303, 50959, 50455, 53361, 52644, 55796, 54171, 50456, 52932, 50914, 55285, 50892, 50799, 53075, 50849, 50419, 51457, 66128, 52303, 67175, 51410, 52482, 50433, 51818, 51141, 51476, 52783, 50441, 51465, 53957, 50449, 55314, 51447, 56336, 73173, 51231, 51108, 52287, 51413, 67718, 51058, 50424, 53679, 55844, 50425, 54310, 52071, 53655, 50849, 52684, 60130, 50426, 55796, 52727, 50431, 52326, 50987, 50437, 51410, 50987, 50442, 51303, 52015, 50449, 51249, 51753, 50456, 51457, 52482, 51601, 51249, 51534, 53171, 50995, 50423, 51457, 78555, 54310, 73058, 53465, 51313, 55314, 51748, 50431, 53171, 51291, 52326, 51121, 50437, 51476, 50849, 50442, 51465, 68527, 51249, 51242, 50453, 52287, 51362, 51465, 60977, 51249, 51309, 53069, 51465, 51177, 51818, 51351, 50427, 51476, 60085, 51825, 51685, 55285, 61647, 53361, 66898, 53679, 52062, 55796, 52222, 50440, 53075, 60204, 51410, 54058, 51303, 50892, 50455, 51414, 50866, 50460, 51303, 51242, 51457, 51110, 53069, 51414, 50974, 51825, 70006, 51303, 50908, 54310, 51095, 50433, 53171, 53753, 53248, 50838, 55314, 58651, 56336, 58651, 50439, 52690, 51174, 50445, 51476, 51337, 50451, 51465, 51080, 50460, 51231, 51277, 53069, 51414, 52011, 50428, 51231, 53096, 50436, 52287, 50905, 50437, 51465, 70546, 51981, 62617, 53075, 52062, 52287, 53520, 53465, 51922, 55796, 55856, 50448, 52684, 55597, 50453, 51476, 51166, 50460, 51303, 50845, 52177, 51476, 60522, 51303, 76575, 51476, 57775, 51303, 51178, 50441, 51476, 50977, 50448, 53655, 50893, 53679, 53201, 50454, 52326, 50873, 50460, 51410, 50977, 52177, 51303, 51749, 50424, 51249, 51481, 50430, 51981, 51351, 50431, 51457, 51797, 50438, 51249, 51121, 50445, 51825, 51178, 51303, 61081, 51981, 51605, 55285, 70842, 55796, 52988, 53361, 54143, 50458, 53075, 50977, 51809, 52303, 51101, 50422, 51410, 50892, 50428, 51303, 51277, 50435, 51410, 51423, 50443, 51303, 51277, 51825, 79766, 51410, 64074, 55314, 54249, 50459, 53248, 51277, 52287, 50914, 53465, 52096, 56336, 54249, 52177, 52690, 66910, 53171, 51623, 51476, 69353, 51465, 51047, 50436, 51231, 51642, 50443, 51414, 51775, 50451, 54310, 51189, 51231, 53010, 50459, 51465, 50904, 53069, 52684, 53201, 55796, 62912, 52287, 52382, 50421, 56698, 51254, 50425, 53248, 68628, 52326, 51058, 50434, 51476, 50845, 50440, 51303, 50901, 50445, 51476, 51178, 50452, 51303, 51101, 50459, 51476, 50812, 52478, 53655, 50911, 53679, 55408, 55796, 59828, 50423, 52326, 50937, 50428, 51410, 50977, 54310, 51003, 50433, 51303, 50974, 50440, 51249, 50974, 52287, 50943, 50446, 51303, 51101, 50453, 51249, 51212, 51825, 51191, 50460, 51303, 50857, 52591, 51457, 51623, 55285, 50905, 53361, 54373, 50425, 53075, 50978, 50431, 52303, 54378, 51410, 51283, 50441, 51303, 70591, 51818, 51111, 51414, 51079, 50448, 52693, 51703, 53679, 51703, 50453, 51303, 51481, 51825, 51100, 50460, 51414, 50941, 51457, 51095, 53069, 51825, 51623, 53248, 51481, 50425, 52690, 51058, 50427, 53679, 53380, 55796, 54249, 50431, 51476, 60465, 51465, 51662, 50445, 51981, 51422, 50446, 51231, 54861, 50453, 51327, 54848, 50461, 51231, 51312, 51809, 56336, 54557, 50417, 53679, 51080, 50423, 51327, 73632, 56698, 71648, 51825, 51675, 50439, 53465, 52122, 55796, 52720, 50440, 53248, 51524, 50445, 52326, 51166, 50451, 51476, 50974, 50457, 51303, 51006, 61323, 50845, 51981, 52115, 52287, 50893, 51303, 54335, 51981, 51060, 51476, 53387, 51825, 51623, 50433, 52326, 79881, 51476, 51242, 50441, 52684, 52204, 50445, 51303, 52985, 51476, 55670, 53075, 51134, 52326, 50943, 50461, 51981, 50967, 51476, 51203, 55753, 52287, 50980, 51303, 50878, 50428, 54369, 76000, 53171, 62803, 53655, 51060, 54310, 51896, 50439, 53679, 53753, 50441, 52326, 80059, 51410, 51006, 50452, 51303, 51642, 50460, 51249, 51481, 52478, 51303, 51412, 53171, 51363, 50427, 51249, 51172, 52287, 50943, 50435, 51303, 67203, 53171, 62063, 54310, 51896, 53655, 73697, 52326, 50866, 50454, 51410, 51058, 50455, 53679, 51692, 50459, 51303, 51481, 53069, 51249, 51277, 55796, 52015, 50425, 51303, 77008, 51825, 51534, 50432, 52684, 51318, 50433, 51249, 51481, 50434, 51981, 51267, 50440, 51303, 53524, 52287, 50938, 50448, 56139, 51314, 53361, 51293, 56679, 51243, 56336, 52720, 50449, 51981, 51486, 50455, 52303, 51079, 50461, 51687, 51079, 52478, 52303, 73639, 52690, 60412, 52303, 51100, 50435, 51980, 51204, 51687, 51328, 50442, 52303, 50901, 50449, 56139, 55586, 51981, 51183, 52690, 51309, 53361, 51449, 50450, 56679, 51449, 50455, 52303, 51277, 50461, 51687, 51432, 53069, 52303, 69115, 51687, 50838, 52932, 51204, 50427, 53361, 55174, 50430, 52303, 51337, 50438, 51981, 50914, 51687, 67446, 52303, 56086, 52287, 51933, 56698, 50905, 50455, 55796, 52121, 50456, 53248, 73562, 52326, 51174, 52478, 51476, 50974, 50424, 51303, 59910, 51476, 51101, 50436, 53171, 50991, 50437, 51303, 50905, 50442, 51476, 61189, 56461, 50924, 50449, 54310, 51141, 53679, 51151, 52684, 51445, 50450, 53655, 51242, 50455, 52326, 51058, 50461, 51410, 51142 ]

[ 0, 250, 2635, 12, 20764, 5175, 2214, 19, 25771, 4785, 6, 4246, 21979, 8669, 6, 38668, 11212, 6, 21072, 6, 21979, 9590, 6, 8, 228, 438, 4781, 2088, 6757, 6, 2351, 10, 19448, 8, 15352, 30054, 5466, 19, 10, 11602, 9, 2365, 8, 1619, 23338, 293, 6, 278, 11, 5, 762, 9, 274, 3694, 19, 10, 132, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 79296, 51057, 51261, 51172, 53271, 51172, 70009, 59638, 50970, 59355, 53004, 51131, 51172, 67363, 50970, 51172, 50903, 53591, 51261, 52580, 51140, 51172, 51504, 51172, 50903, 54889, 70009, 59638, 50970, 53052, 50903, 53720, 51140, 50827, 51131, 51172, 67363, 50970, 51172, 51057, 51261, 51172, 53271, 51172, 50903, 53004, 51131, 51172, 67363, 50970, 51172, 50903, 53591, 51261, 52580, 51140, 51172, 51504, 51172, 50903, 54889, 70009, 59638, 50970, 53052, 50903, 53720, 51140, 50827, 51131, 51172, 67363, 50970, 51172, 51057, 52735, 51490, 52886, 51490, 53718, 52720, 51261, 51172, 53271, 51172, 54978, 65345, 60433, 54225, 56115, 66226, 53004, 51131, 51172, 67363, 50970, 51172, 50903, 59735, 51342, 53591, 51261, 54352, 73526, 52580, 51140, 51172, 51504, 62123, 54225, 54889, 70009, 59638, 50970, 59355, 73526, 52739, 51287, 51342, 53720, 51140, 50827, 51131, 51172, 51136, 51172, 51169, 62123, 73526, 50827, 51057, 53188, 51490, 52626, 51490, 51140, 51172, 51504, 51172, 57454, 51381, 50801, 60433, 59735, 51035, 56115, 66226, 53004, 51131, 51172, 51136, 51172, 51169, 51172, 50903, 59735, 51035, 64274, 53591, 51140, 54352, 73526, 52580, 51150, 51172, 51725, 62123, 59735, 51035, 54889, 51131, 50827, 71546, 51169, 50827, 57355, 59355, 73526, 52739, 72329, 64274, 53720, 51150, 50827, 51131, 51172, 67363, 50970, 51172, 54978, 51680, 50801, 73526, 50827, 51057, 52430, 51748, 52886, 51490, 51261, 51172, 53271, 62123, 60433, 59735, 51035, 56115, 66226, 53004, 51131, 51172, 67363, 50970, 51172, 50903, 59735, 51035, 64274, 53591, 51261, 54352, 73526, 52580, 51560, 51172, 58397, 62123, 59735, 51035, 54889, 70009, 59638, 50970, 59355, 73526, 52739, 72329, 64274, 53720, 51560, 50827, 51131, 51172, 51136, 51172, 50970, 62123, 73526, 50827, 51057, 54339, 51490, 51668, 51172, 53092, 51172, 54377, 51381, 50801, 60433, 59735, 51035, 56115, 66226, 53004, 51131, 51172, 51136, 51172, 50970, 51172, 50903, 59735, 51342, 53591, 51668, 54352, 73526, 52580, 51705, 51172, 68643, 62123, 54225, 54889, 70009, 51136, 50838, 69463, 54067, 59355, 55249, 54702, 52739, 51287, 51342, 53720, 51705, 50827, 51846, 51172, 51136, 51172, 71426, 54978, 51680, 50801, 73526, 50827, 51057, 53188, 51748, 52626, 51490, 51140, 51172, 51504, 62123, 60433, 54225, 56115, 66226, 53004, 51846, 51172, 51136, 51172, 71426, 50903, 59735, 51342, 53591, 51140, 54352, 73526, 52580, 51150, 51172, 51725, 62123, 54225, 54889, 51846, 50838, 51136, 50838, 50929, 59355, 73526, 52739, 51287, 51342, 53720, 51150, 50827, 51846, 51172, 67363, 50929, 62123, 73526, 50827, 51057, 52886, 51490, 51261, 51172, 53271, 51172, 54067, 51381, 50801, 60433, 59735, 51035, 56115, 66226, 53004, 51846, 51172, 67363, 71426, 50903, 59735, 51035, 64274, 53591, 51261, 54352, 73526, 52580, 51140, 51172, 51504, 62123, 59735, 51035, 54889, 51846, 50838, 59638, 60384, 54978, 59355, 73526, 52739, 72329, 64274, 53720, 51140, 50827, 51246, 51172, 67363, 71426, 54699, 51680, 50801, 73526, 50827, 51057, 51838, 51490, 52137, 51490, 52735, 51748, 51493, 51172, 51574, 62123, 60433, 59735, 51035, 56115, 66226, 53004, 51246, 51172, 67363, 71426, 50903, 59735, 51035, 64274, 53591, 51493, 54352, 73526, 52580, 51261, 51172, 53271, 62123, 59735, 51035, 54889, 77222, 59638, 50929, 59355, 73526, 52739, 72329, 64274, 53720, 51261, 50827, 77465, 51078, 51172, 51064, 62123, 73526, 50827, 51057, 51711, 51490, 53129, 51748, 51560, 51172, 52562, 51172, 54978, 51381, 50801, 60433, 59735, 51035, 56115, 66226, 53004, 77465, 51078, 51172, 51064, 51172, 50903, 59735, 51342, 53591, 51560, 54352, 73526, 52580, 51261, 51172, 53271, 62123, 54225, 54889, 62770, 78249, 79298, 59659, 59355, 55249, 54702, 52739, 51287, 51342, 53720, 51261, 50827, 77465, 51078, 51172, 51076, 51172, 54699, 51680, 50801, 73526, 50827, 51057, 51838, 51490, 53499, 51748, 51389, 51172, 51444, 62123, 60433, 54225, 56115, 66226, 53004, 77465, 51078, 51172, 51076, 51172, 50903, 59735, 51342, 53591, 51389, 54352, 73526, 52580, 51216, 51172, 52012, 62123, 54225, 54889, 62770, 78249, 51076, 59355, 73526, 52739, 51287, 51342, 53720, 78480, 51311, 51172, 50970, 51172, 51169, 62123, 73526, 50827, 51057, 52036, 51490, 53188, 51490, 51098, 77858, 51172, 54978, 51381, 50801, 60433, 59735, 51035, 56115, 66226, 53004, 51311, 51172, 50970, 51172, 51169, 51172, 50903, 59735, 51035, 64274, 53591, 51098, 54352, 73526, 52580, 51389, 51172, 51444, 62123, 59735, 51035, 54889, 76441, 69463, 77217, 59659, 59355, 73526, 52739, 72329, 64274, 53720, 51389, 50827, 51246, 51172, 50998, 73102, 54699, 51680, 50801, 73526, 50827, 51057, 51711, 51748, 52225, 51490, 52430, 52720, 51150, 51172, 51725, 62123, 60433, 59735, 51035, 56115, 66226, 53004, 51246, 51172, 50998, 73102, 50903, 59735, 51035, 64274, 53591, 51150, 54352, 73526, 52580, 51098, 77858, 62123, 59735, 51035, 54889, 77222, 65026, 51169, 59355, 73526, 52739, 72329, 64274, 53720, 51098, 50827, 51131, 51172, 51136, 51172, 50929, 62123, 73526, 50827, 51057, 52340, 51490, 51140, 51172, 51504, 51172, 54978, 51381, 50801, 60433, 59735, 51035, 56115, 66226, 53004, 51131, 51172, 51136, 51172, 71426, 50903, 59735, 51342, 53591, 51140, 54352, 73526, 52580, 51150, 51172, 51725, 62123, 54225, 54889, 70009, 51136, 50838, 60384, 59659, 59355, 55249, 54702, 52739, 51287, 51342, 53720, 51150, 50827, 51131, 51172, 67363, 50970, 51172, 54699, 51680, 50801, 73526, 50827, 51057, 51838, 51490, 52036, 55392, 51261, 51172, 53271, 62123, 60433, 54225, 56115, 66226, 53004, 51131, 51172, 67363, 50970, 51172, 50903, 59735, 51342, 53591, 51261, 54352, 73526, 52580, 51140, 51172, 51504, 62123, 54225, 54889, 70009, 59638, 50970, 59355, 73526, 52739, 51287, 51342, 53720, 51140, 50827, 51246, 51172, 51136, 51172, 51078, 62123, 73526, 50827, 51057, 52340, 51490, 51668, 51172, 53092, 62123, 60433, 55991, 50827, 53214, 53004, 51246, 51172, 51136, 51172, 51078, 51172, 50903, 59735, 51035, 53591, 51668, 54352, 54702, 52580, 51705, 51172, 52028, 62123, 65232, 52984, 50579, 55991, 54889, 77222, 51136, 50838, 51078, 59355, 73996, 54702, 52739, 50920, 53720, 51705, 50827, 51131, 51172, 67363, 50970, 62123, 73526, 50827, 51057, 51838, 51490, 51261, 51172, 53271, 51172, 54377, 62123, 60433, 54225, 56115, 66226, 53004, 51131, 51172, 67363, 50970, 51172, 50903, 59735, 51342, 53591, 51261, 50827, 54377, 54352, 73526, 52580, 51140, 51172, 51504, 51172, 54377, 54352, 54225, 54889, 70009, 59638, 69463, 54377, 59355, 73526, 52739, 51287, 51342, 53720, 51140, 50827, 51246, 51172, 50998, 73102, 54067, 54352, 73526, 50827, 51057, 51711, 51490, 52225, 51490, 51150, 51172, 51725, 51172, 54377, 55056, 60433, 59735, 51035, 56115, 66226, 53004, 51246, 51172, 50998, 73102, 54377, 59355, 59735, 51035, 64274, 53591, 51150, 54352, 73526, 52580, 51140, 51172, 51504, 51172, 54067, 55056, 59735, 51035, 54889, 62770, 65026, 50929, 59355, 73526, 52739, 54377, 51381, 72329, 64274, 53720, 51140, 50827, 51131, 51172, 67363, 50970, 62123, 73526, 50827, 51057, 51838, 51490, 52036, 51490, 51261, 51172, 53271, 62123, 60433, 59735, 51035, 56115, 66226, 53004, 51131, 51172, 67363, 50970, 51172, 50903, 59735, 51035, 64274, 53591, 51261, 50827, 54377, 55056, 73526, 52580, 51140, 51172, 51504, 62123, 59735, 51035, 54889, 70009, 59638, 69463 ]

[ 0, 250, 15855, 1619, 2214, 19, 3495, 16882, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21979, 8669, 6, 5730, 2342, 4467, 6, 8, 21072, 6, 2351, 10, 15352, 30054, 8, 1372, 5466, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 10, 19448, 38451, 3938, 20889, 4, 20, 33215, 16739, 9, 230, 119, 6, 12608, 6, 274, 6, 8, 163, 428, 3639, 7, 5, 2214, 18, 12298, 8, 822, 636, 13408, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 66243, 51136, 50855, 50929, 59046, 51136, 50855, 50929, 55395, 51136, 51215, 50929, 51379, 50447, 50970, 51095, 51169, 51167, 50455, 63755, 60848, 50461, 54339, 51253, 56726, 50995, 50799, 51169, 51364, 51032, 51552, 51396, 51655, 51396, 51655, 50720, 50344, 70762, 50979, 51110, 50979, 51110, 52603, 57818, 50992, 75066, 54050, 58191, 50979, 51400, 50979, 51400, 52603, 60676, 51169, 50893, 51032, 67459, 50918, 50909, 50918, 53876, 62063, 50992, 59344, 50901, 54050, 59957, 50929, 50879, 51064, 50911, 50449, 50979, 75355, 50979, 51159, 50455, 50970, 50938, 51169, 57973, 50992, 50977, 50992, 78971, 53718, 51253, 57204, 51253, 60938, 51285, 51064, 52512, 51037, 51655, 51037, 51655, 50420, 75812, 75812, 51515, 57817, 50939, 51158, 50939, 51158, 51773, 52658, 50872, 51221, 50872, 51221, 51515, 58866, 50929, 51345, 51064, 50980, 51007, 51077, 51007, 51077, 51669, 55040, 50939, 51177, 50939, 51177, 51773, 58460, 50970, 51215, 51169, 51167, 76158, 50872, 74323, 50939, 58338, 50845, 69683, 51623, 50929, 52311, 54339, 52783, 54307, 52783, 51037, 51623, 51037, 51623, 50979, 51623, 50979, 51623, 50847, 51623, 50847, 51623, 50449, 50970, 50938, 56726, 51309, 54339, 51277, 50885, 57322, 51169, 78769, 50948, 50979, 50917, 50979, 50917, 73368, 50992, 71704, 51136, 51991, 54339, 51381, 54307, 51381, 51037, 51696, 50979, 51307, 50847, 51696, 60938, 52536, 51037, 51696, 50979, 51307, 50847, 51696, 50456, 59018, 50938, 50461, 52402, 52250, 51615, 52250, 50799, 54619, 51345, 51751, 51655, 51751, 51655, 50420, 50979, 51110, 50979, 63963, 53449, 50847, 51736, 54619, 50808, 50979, 51400, 50979, 51400, 50438, 54619, 51290, 50939, 50983, 50939, 60865, 50847, 55196, 50901, 50449, 59018, 65223, 50979, 51157, 50979, 51157, 50456, 53664, 50889, 58966, 58966, 68408, 51264, 51751, 51264, 50419, 54942, 67729, 50979, 51110, 50979, 63963, 53449, 50847, 51736, 50979, 51400, 50979, 51400, 50438, 50939, 50983, 50939, 60865, 50847, 55196, 55125, 50979, 51157, 50979, 51157, 50456, 54619, 50910, 58966, 58966, 50461, 76029, 52255, 51717, 50799, 59018, 50914, 51164, 51655, 51164, 51655, 50420, 75812, 50872, 64131, 50992, 51158, 50992, 71003, 59018, 61074, 51221, 50872, 51221, 50438, 59018, 51111, 50909, 51141, 50909, 72758, 54942, 50889, 50992, 51177, 50992, 68366, 76158, 50872, 74323, 55663, 51141, 50992, 58687, 74304, 51711, 51717, 59008, 51264, 51164, 63560, 75812, 50872, 64131, 50992, 51158, 50992, 71003, 51169, 50830, 51032, 50948, 50872, 51221, 50872, 51221, 50438, 51169, 51158, 51032, 51286, 50909, 51141, 50909, 72758, 50992, 51177, 50992, 51177, 50446, 61675, 51064, 66070, 76158, 76158, 50455, 50970, 50830, 51169, 57830, 53320, 50955, 50992, 58687, 74304, 52340, 51353, 50799, 51169, 53241, 51032, 54055, 53320, 51241, 51396, 51655, 51396, 51655, 50420, 50979, 51110, 50979, 63963, 50992, 56792, 51736, 53320, 73474, 51400, 50979, 51400, 50438, 53320, 51109, 50909, 50983, 50909, 60865, 50992, 59344, 50901, 50449, 52315, 54230, 50979, 51157, 50979, 51157, 50456, 51752, 51056, 73368, 50992, 71704, 51838, 51313, 52036, 51313, 62870, 51264, 51037, 63560, 76067, 76067, 50421, 51752, 57908, 50939, 55599, 51736, 50872, 51400, 50872, 51400, 50438, 51007, 50983, 51007, 60865, 50939, 60023, 55125, 50872, 51157, 50872, 51157, 50456, 53320, 50925, 67866, 67866, 50461, 52402, 52337, 51615, 52337, 50799, 52315, 51241, 51751, 51655, 51751, 51655, 50420, 50979, 51110, 50979, 63963, 53449, 50847, 51736, 52315, 62295, 51400, 50979, 51400, 50438, 52315, 60935, 50983, 50939, 60865, 53320, 51253, 50847, 55196, 55125, 50979, 51157, 50979, 51157, 50456, 52182, 51218, 58966, 58966, 68408, 51264, 51751, 51264, 51516, 51573, 52257, 51362, 50420, 50979, 51110, 50979, 63963, 53449, 50847, 51736, 50979, 51400, 50979, 51400, 52381, 51573, 54050, 53585, 50939, 50983, 50939, 60865, 50847, 55196, 55125, 50979, 51157, 50979, 51157, 51948, 51460, 54258, 51192, 50455, 54942, 50808, 52182, 53920, 58966, 58966, 50461, 52255, 52121, 52340, 52121, 51711, 52121, 52381, 51359, 50799, 53664, 51294, 53320, 51204, 51396, 51655, 51396, 51655, 51837, 51469, 53876, 52369, 50420, 50979, 51110, 50979, 63963, 50992, 56792, 51736, 53664, 50938, 53320, 50937, 50979, 51400, 50979, 51400, 50438, 53664, 51116, 53320, 51221, 50909, 50983, 50909, 60865, 50992, 59344, 55125, 53200, 50910, 52315, 50925, 50979, 51157, 50979, 51157, 50456, 52756, 51157, 51596, 51056, 73368, 73368, 75158, 51264, 51396, 51264, 50419, 54324, 51562, 51752, 51448, 50420, 50979, 51110, 50979, 51110, 53876, 50952, 58795, 58798, 50992, 75066, 53876, 50952, 58795, 54372, 50979, 51400, 50979, 51400, 54910, 50952, 54258, 59646, 50909, 50983, 50909, 50983, 54258, 50865, 54910, 54630, 50992, 59344, 50901, 53876, 50808, 54050, 52741, 50979, 51157, 50979, 51157, 54050, 51116, 53876, 51215, 50455, 54942, 52643, 52182, 50833, 73368, 50992, 71704, 54942, 51204, 51615, 52121, 51863, 52121, 50799, 52182, 51241, 51751, 51655, 51751, 51655, 52257, 51685, 54258, 51977, 50420, 50979, 51110, 50979, 63963, 53449, 50847, 51736, 54324, 50812, 51752, 60296, 51400, 50979, 51400, 50438, 54324, 51111, 51752, 51177, 50939, 50983, 50939, 60865, 53664, 51157, 53320, 51056, 50847, 55196, 55125, 50979, 51157, 50979, 51157, 50456, 54942, 51141, 52182, 51218, 58966, 58966, 68408, 51655, 51751, 51655, 50420, 50979, 51110, 50979, 63963, 53449, 50847, 51736, 51032, 50830, 51549, 50940, 50979, 51400, 50979, 51400, 50438, 51032, 50879, 51549, 59978, 50983, 50939, 60865, 50847, 55196, 72688, 51064, 50805, 51067, 65399, 50979, 51157, 50979, 51157, 50455, 51169, 50910, 51032, 50938, 54942, 50910, 52182, 58298, 58966, 58966, 50460, 51711, 52250, 52255, 52096, 50461, 53664, 51294, 68892, 51941, 51549, 52266, 53320, 51204, 51396, 51655, 51396, 51655, 50420, 50979, 51110, 50979, 63963, 50992, 56792, 65727, 54324, 50925, 51752, 56799, 50979, 51400, 50979, 51400, 50438, 54324, 51095, 51752, 51178, 50909, 50983, 50909, 60865, 50992, 59344, 55125, 54324, 50812, 51752, 79719, 51157, 50979, 51157, 50456, 54324, 51346, 51752, 51377, 73368, 73368, 75158, 51264, 51396, 51264, 50419, 53200, 51204, 52315, 51241, 50420, 50979, 51110, 50979, 63963, 50992, 56792, 51736, 50979, 51400, 50979, 51400, 50438, 50909, 50983, 50909, 60865, 54324, 51111, 51752, 51177, 50992, 59344, 55125, 50979, 51157, 50979, 51157, 50454, 52756, 50910, 50455, 51596, 58298, 73368, 73368, 50460, 51863, 53380, 51838, 54143, 52036, 57820, 50461, 52756, 51264, 73350, 53380, 51037, 51655, 51037, 51655, 54258, 51307, 59849, 51655, 50420, 76067, 50872, 63963, 50939, 55599, 51736, 59736, 50872, 51400, 50872, 51400, 50434, 50929, 72538, 51169, 52424, 51007, 50983, 51007, 60865, 50939, 60023, 55125, 50872, 51157, 50872, 51157, 50456, 51032, 61303, 50917, 67866, 50458, 66863, 57333, 51325, 51709, 51032, 50943, 50939, 51307, 50939, 51307, 50872, 51307, 50872, 51307, 51037, 51264, 51037, 51264, 50426, 51325, 51199, 54467, 51167, 51752, 50967, 55208, 51199, 54467, 51274, 51752, 50983, 51180, 54914, 55723, 50945, 51199, 51956, 50456, 52817, 51158, 52315, 51111, 51956, 50461, 52402, 52250, 51615, 52250, 53870, 50995, 51751, 51655, 51751, 51655, 62235, 58168, 57030, 54942, 51538, 52182, 51518, 50420, 50979, 51110, 50979, 51110, 51960, 51510, 52670 ]

[ 0, 250, 15352, 30054, 1619, 3495, 2214, 11, 230, 538, 6, 4246, 13305, 6, 21979, 8669, 6, 1076, 560, 31365, 25999, 6, 21040, 2426, 6, 8, 21072, 4, 20, 2125, 11498, 10, 11956, 178, 5285, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 6453, 9, 11098, 8, 657, 4, 20, 33215, 16739, 9, 211, 401, 6, 272, 6, 230, 6, 230, 119, 1176, 406, 6, 8, 1918, 3639, 7, 63, 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 ]

[ 57211, 50799, 51924, 53174, 56461, 51358, 51332, 71785, 50988, 51290, 50988, 52536, 50423, 50885, 51141, 50885, 51551, 50429, 50868, 66282, 64049, 50988, 61636, 50909, 52097, 76858, 51226, 66368, 55501, 55963, 51290, 50447, 50885, 51090, 50885, 51364, 50449, 51924, 52175, 56461, 64870, 50868, 51055, 50454, 54310, 50865, 50868, 50879, 50455, 51390, 55273, 50988, 58565, 51334, 50803, 53171, 50830, 57746, 51030, 50988, 51241, 50935, 52097, 50935, 51291, 50415, 51590, 51407, 53927, 52864, 50868, 53677, 51158, 50988, 51048, 50423, 50885, 51090, 50885, 52097, 50429, 50868, 51090, 50868, 59984, 50988, 51290, 50988, 55965, 50935, 51541, 50935, 65980, 66732, 50868, 67933, 51055, 50447, 50885, 57084, 54526, 51590, 50975, 53927, 58045, 53171, 60709, 58429, 51362, 50455, 53927, 57313, 50988, 79854, 50889, 50459, 51209, 50811, 51981, 78952, 50910, 50799, 52287, 50918, 50946, 50806, 51164, 51551, 50415, 51209, 51407, 50420, 50988, 71065, 51527, 50423, 50885, 51285, 50946, 51538, 50429, 50872, 51379, 50885, 72107, 50872, 51364, 50438, 50850, 51354, 51164, 51566, 50872, 51566, 50850, 51454, 50450, 51229, 50803, 52287, 50808, 51217, 51090, 50868, 66282, 63165, 51016, 50453, 53927, 64998, 51590, 50950, 50457, 51334, 50803, 53171, 53793, 51924, 58055, 56461, 50890, 57342, 64061, 51362, 51171, 52500, 50848, 52536, 50417, 56461, 63814, 51924, 58609, 54310, 63580, 51585, 50421, 51390, 74377, 50885, 51226, 50429, 51209, 50803, 50872, 51896, 50430, 52287, 58970, 51209, 50803, 52287, 54957, 51256, 51066, 51981, 51215, 51042, 50983, 50850, 51496, 50450, 50953, 51013, 51209, 50802, 51981, 52809, 52287, 51754, 51408, 50803, 53171, 50859, 52534, 51605, 51924, 53174, 56461, 51896, 50801, 50841, 51332, 74258, 50988, 51290, 50988, 52536, 50423, 50885, 51189, 50885, 51551, 62578, 55739, 50868, 75736, 64049, 50988, 51048, 51658, 61937, 52195, 76858, 51541, 66368, 55501, 55963, 51073, 50447, 50885, 74888, 51364, 50449, 51924, 52175, 56461, 58546, 55647, 50868, 51055, 50454, 54310, 70845, 50893, 50455, 51390, 55273, 50988, 58565, 51334, 50803, 53171, 50910, 52534, 51933, 50801, 50841, 50988, 51030, 50988, 51241, 50935, 52097, 50935, 51472, 50415, 51590, 51407, 53927, 52115, 50868, 57122, 51158, 50988, 51073, 50423, 50885, 67388, 52097, 62578, 54694, 50868, 51090, 50868, 59984, 50988, 51290, 69089, 51658, 69149, 51541, 50935, 52195, 66368, 50910, 50868, 67933, 51055, 50447, 50885, 58239, 54526, 51590, 50975, 53927, 53345, 54859, 53171, 55729, 58429, 51362, 50455, 53927, 58774, 55436, 50988, 79854, 50889, 50459, 51209, 50811, 51981, 78952, 50910, 53870, 51933, 52287, 55755, 50841, 50946, 51624, 50297, 51551, 50415, 51209, 52827, 50420, 50988, 60772, 51551, 50423, 50885, 52195, 50946, 51538, 62578, 54694, 50872, 51167, 50885, 72107, 50872, 51141, 51658, 63752, 51379, 51164, 51055, 50872, 51055, 50850, 51454, 50450, 51019, 51048, 51229, 50803, 52287, 53841, 50841, 51217, 51054, 50868, 75736, 63165, 51016, 50453, 53927, 59464, 51590, 74653, 51334, 50803, 53171, 53793, 51924, 58055, 56461, 50890, 52288, 77598, 59162, 64061, 51226, 51171, 53241, 50848, 52500, 50417, 56461, 60232, 51924, 58609, 54310, 54572, 51941, 50421, 51390, 74377, 50885, 51573, 62578, 55739, 51209, 50803, 50872, 51977, 50430, 52287, 59046, 51209, 50803, 52287, 54957, 50953, 51472, 51256, 51300, 51981, 74749, 50841, 51042, 51364, 50850, 51496, 50450, 52376, 56285, 58544, 51831, 50879, 52534, 51161, 57494, 52069, 53026, 65734, 51194, 50909, 51552, 50847, 51446, 51332, 51353, 50415, 51652, 70333, 51652, 78790, 50988, 50983, 50988, 52392, 50423, 50885, 51274, 50885, 51446, 51768, 51539, 55739, 50868, 75736, 50983, 50430, 51652, 64338, 51667, 66554, 51652, 51290, 51658, 51406, 79059, 51552, 50909, 52195, 66368, 51110, 50988, 51291, 50447, 50885, 74888, 51285, 51955, 51539, 55079, 50953, 69543, 51290, 50454, 50868, 51923, 51133, 57661, 69273, 52534, 52392, 51652, 50948, 57494, 52069, 54052, 50841, 50988, 51134, 50935, 51661, 50935, 52097, 50420, 51652, 78341, 55963, 51446, 50423, 50885, 51285, 50424, 50885, 51661, 51768, 51539, 55882, 51652, 72257, 50868, 66282, 72107, 51667, 50858, 50988, 51127, 50435, 51652, 51362, 51658, 51406, 67065, 51226, 50935, 65980, 66732, 50988, 51189, 50447, 50885, 58239, 51274, 51955, 51539, 54363, 50868, 51290, 50868, 51362, 50456, 59133, 63364, 50459, 50988, 50897, 53870, 51358, 51652, 50921, 54643, 65968, 56263, 51274, 50415, 52287, 52069, 50418, 51831, 78790, 50988, 60772, 51446, 50423, 50885, 51285, 50946, 51413, 51768, 51539, 54694, 51831, 69120, 51226, 50885, 51336, 50432, 51652, 62487, 51446, 50435, 51831, 51294, 51658, 51406, 58875, 51379, 50850, 68249, 50988, 75250, 50946, 70447, 51019, 51048, 50903, 51750, 50828, 50988, 50952, 50453, 72252, 50946, 66704, 50885, 64503, 57896, 52288, 51091, 52376, 50859, 52287, 51183, 54643, 69263, 51362, 50850, 51285, 50848, 53241, 50417, 52457, 51167, 67653, 51294, 50423, 50885, 60823, 52457, 50879, 69122, 54660, 50872, 56674, 51358, 50432, 51019, 50884, 52376, 56535, 68685, 52457, 51238, 55208, 50807, 54310, 51047, 54643, 50839, 50988, 51235, 50872, 51427, 79373, 50850, 51235, 50988, 51356, 50450, 52376, 50879, 69122, 68855, 51124, 50988, 51227, 50847, 51227, 50935, 51346, 50456, 50953, 50887, 51831, 50893, 52534, 51605, 56724, 50895, 57494, 51945, 54643, 50841, 50988, 70534, 51178, 50909, 51496, 50847, 51413, 51332, 76811, 56724, 51345, 50420, 50988, 50983, 50988, 51141, 50423, 50885, 51274, 50885, 51413, 51768, 51539, 54694, 68623, 50868, 51016, 50431, 55066, 68974, 56724, 51227, 51658, 51467, 60576, 51427, 50909, 52097, 50988, 51336, 50441, 50847, 51446, 66368, 51178, 50447, 50872, 62773, 51274, 51955, 51464, 54363, 77362, 50454, 50868, 61510, 66858, 52534, 51933, 51652, 50948, 57494, 51353, 54643, 58178, 51541, 50988, 51241, 50935, 52195, 50935, 52195, 50420, 51652, 50940, 50868, 55963, 51446, 50423, 50885, 51285, 50424, 50885, 51285, 51768, 51750, 57286, 51652, 77198, 68567, 50868, 66282, 51343, 50432, 51667, 50858, 50988, 51077, 50435, 51652, 51362, 51658, 51406, 69010, 51226, 50847, 51141, 50935, 52195, 66368, 50897, 50988, 51218, 50447, 50885, 62773, 51343, 51955, 51750, 55079, 50953, 60975, 51290, 50868, 51362, 50456, 51133, 78769, 50889, 50459, 50988, 50910, 52354, 50983, 51652, 50952, 52287, 51714, 53026, 58178, 50921, 50946, 56263, 51472, 50417, 50872, 69392, 51831, 78790, 50988, 62773, 65057, 51189, 50423, 50872, 73564, 51446, 51768, 51539, 54660, 51831, 69120, 51541, 50885, 51977, 50432, 51652, 63553, 51446, 50435, 51831, 51294, 53357, 51238, 54643, 58875, 51427, 50946, 51336, 50441, 50885, 51291, 50444, 50872, 72742, 51274, 50447, 50847, 51192, 50847, 69323, 51019, 51048, 50903, 51750, 55079, 72252, 70084, 52288, 51336, 52376, 50858, 52287, 51183, 53026, 69263, 51362, 50850, 51285, 51171, 51196, 50848, 52500, 50417, 52457, 51215, 67653, 51294, 50946, 50983, 50423, 50885, 74888, 65183, 52457, 50879, 69122, 54694, 50872, 56674, 51896, 50432, 52376, 56535, 52457, 51235, 55208, 51336, 54310, 51562, 53026, 50839, 50988, 51235, 50872, 51235, 67265, 50850, 51160, 50988, 59731, 52376, 50948, 59193, 50828, 50988, 51238, 50935, 51124, 50988, 51345, 50847, 50980, 50935, 51345, 50456, 52457, 50893, 50461, 51327, 51417, 52354, 51472 ]

[ 0, 250, 15352, 30054, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 18558, 6, 13305, 6, 3152, 6757, 6, 1893, 43639, 6, 8, 31391, 1672, 9590, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 17407, 30, 10, 33215, 16739, 9, 274, 6, 163, 428, 6, 272, 6, 230, 6, 8, 83, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57128, 54983, 51745, 53503, 51036, 51914, 53073, 51859, 53073, 51001, 51012, 61401, 53023, 50902, 51740, 53899, 50876, 57499, 50902, 51896, 50856, 53889, 52975, 51526, 50923, 60026, 50837, 55511, 51054, 64082, 52616, 50856, 52763, 51526, 56021, 53889, 53650, 51526, 56702, 52995, 50837, 55609, 51573, 55981, 51036, 51001, 51138, 64082, 53023, 50902, 55836, 53899, 50876, 56382, 50902, 51343, 50856, 53889, 53644, 51602, 53703, 52990, 50837, 56618, 51090, 64082, 52616, 50931, 51566, 50856, 52763, 51602, 63572, 53889, 53563, 51602, 61505, 53530, 53237, 54600, 60437, 53053, 51573, 53455, 51336, 53503, 51661, 51859, 51472, 50906, 51090, 64082, 52761, 50856, 52670, 50856, 53889, 59485, 50876, 57647, 51137, 76932, 50830, 60026, 50837, 54360, 51541, 55209, 51336, 53455, 51472, 53503, 51077, 51914, 51336, 50902, 50896, 64082, 52616, 50856, 52763, 50876, 63572, 53889, 53650, 51374, 67782, 50893, 61693, 50837, 52894, 51090, 54609, 51055, 52949, 51336, 52301, 51469, 51859, 51264, 50871, 74694, 51013, 64082, 53023, 50856, 52670, 51374, 51016, 55209, 67957, 64609, 67013, 53889, 53644, 60026, 50837, 55545, 50858, 55977, 50918, 51617, 51291, 50877, 69797, 51472, 64082, 52616, 51132, 56795, 52995, 56061, 52772, 51137, 52370, 50319, 51160, 50801, 52995, 53889, 53563, 51349, 55024, 52995, 56061, 50818, 54983, 51745, 53503, 51655, 51914, 51696, 51859, 51036, 50871, 51077, 50906, 68900, 51077, 61401, 50829, 53158, 52670, 50856, 53889, 55212, 54978, 55736, 51526, 51014, 60026, 58803, 54978, 50962, 50436, 54978, 50962, 55511, 51566, 64082, 55698, 54978, 51021, 57428, 61035, 57785, 54978, 75500, 51132, 53936, 50314, 51100, 50856, 53889, 62962, 54978, 63695, 51349, 76932, 55944, 52995, 54600, 54978, 51045, 54983, 51541, 53455, 51655, 52301, 51696, 51953, 51655, 78548, 50876, 51218, 50968, 51945, 64082, 57030, 54978, 50923, 53158, 59136, 54560, 52282, 55592, 53889, 53644, 51526, 51033, 60026, 50837, 55511, 51566, 50876, 51481, 64082, 52616, 50906, 59384, 52763, 51132, 64515, 80153, 53889, 53563, 51349, 53318, 50311, 53933, 53237, 50837, 54983, 51541, 53455, 51696, 53503, 51696, 53088, 51655, 72683, 50906, 51103, 51001, 51127, 64082, 52761, 50856, 52670, 50856, 53889, 60759, 57249, 57611, 51526, 51033, 60026, 50837, 55511, 51500, 57249, 51030, 64082, 52616, 57249, 68905, 54493, 54284, 50956, 52763, 51132, 68188, 59375, 51111, 51001, 56255, 53889, 62962, 54978, 61063, 51349, 73796, 55170, 53237, 54600, 57249, 51030, 54983, 51541, 53503, 51696, 54609, 52017, 51914, 51655, 50871, 51204, 76885, 50902, 51103, 64082, 57030, 54699, 51274, 53158, 52670, 50856, 53889, 53644, 51526, 51033, 54783, 51158, 60026, 50837, 55511, 51500, 64082, 62047, 59659, 51294, 57428, 52995, 52763, 51132, 53936, 50319, 56021, 53889, 53563, 51349, 53275, 50318, 53097, 52995, 54600, 59725, 54983, 51745, 51914, 51696, 53503, 51655, 51859, 51696, 50902, 51358, 61401, 53070, 50906, 54071, 50856, 52670, 50856, 53889, 52975, 51526, 51014, 50871, 51174, 60026, 58039, 54978, 79737, 54978, 50894, 55511, 51566, 64082, 58655, 54978, 51021, 57428, 51242, 50856, 62749, 54978, 55510, 51132, 51138, 50856, 53889, 58418, 54978, 50882, 50455, 54978, 57251, 51349, 68916, 50870, 50902, 54390, 52995, 54600, 54978, 50950, 54983, 51541, 53455, 51696, 52301, 51469, 51953, 51469, 50861, 65090, 51157, 50968, 51346, 64082, 57030, 54978, 51012, 55902, 63781, 60916, 54560, 51551, 55592, 53889, 53644, 51526, 51033, 50861, 55512, 51480, 50968, 51419, 60026, 50837, 55511, 51566, 64082, 52616, 50861, 53110, 52763, 51132, 52362, 50314, 75672, 78576, 53889, 53563, 51349, 78291, 50873, 61693, 50837, 54983, 51541, 53455, 51655, 53088, 51036, 53503, 51469, 50861, 51191, 50906, 51291, 51001, 51417, 64082, 52761, 50856, 52670, 50856, 53889, 52975, 51526, 51033, 60026, 54034, 57249, 50962, 55511, 51500, 50861, 51337, 50906, 76452, 51309, 64082, 55698, 57249, 62789, 57249, 70499, 52763, 51132, 50923, 57249, 73796, 59375, 57367, 60095, 53889, 53650, 68661, 54978, 50894, 50861, 55503, 53237, 54600, 57249, 50894, 54983, 51541, 54609, 51036, 53503, 51655, 51914, 51655, 54699, 51274, 50871, 51204, 50906, 51204, 79728, 64082, 53023, 50856, 52670, 50856, 53889, 53644, 51526, 51033, 54783, 51060, 60026, 57413, 72358, 55511, 51500, 59659, 51343, 50816, 53239, 50906, 53390, 52763, 51526, 53936, 50326, 51116, 72481, 65338, 66002, 51456, 64563, 51456, 58686, 51456, 53017, 51349, 51030, 51456, 57029, 51456, 58077, 51456, 50841, 53053, 51745, 53503, 51605, 51914, 51655, 51676, 53073, 53455, 53073, 50906, 61806, 51379, 50951, 51016, 61401, 53023, 50906, 51189, 50856, 59136, 54067, 56519, 54067, 52827, 50902, 56473, 53889, 52975, 51137, 51014, 50951, 51160, 60026, 52896, 51137, 51573, 50902, 51124, 64082, 52616, 50951, 73497, 52763, 50906, 50991, 50856, 53889, 62962, 54899, 66864, 51137, 53936, 50318, 54312, 52995, 57950, 54377, 51045, 54920, 51573, 52301, 51696, 53088, 51655, 75023, 51001, 69517, 51141, 64082, 57030, 54377, 51505, 55902, 51518, 50856, 59136, 54067, 51870, 56546, 51241, 50856, 53889, 53644, 51416, 50950, 51001, 50901, 60026, 50837, 54908, 51066, 50951, 50983, 64082, 52616, 50876, 56923, 62749, 54978, 54988, 51349, 53936, 50319, 60095, 53889, 57905, 57249, 76187, 51137, 53936, 50323, 50959, 61693, 50837, 52894, 51573, 53503, 51469, 51859, 53002, 54609, 51469, 51914, 51655, 66734, 50902, 51158, 50931, 50889, 64082, 52761, 50906, 51477, 50856, 53899, 54978, 56667, 54978, 52311, 50902, 70436, 53889, 52975, 51132, 51045, 50931, 50918, 60026, 52896, 51132, 51552, 50876, 50805, 64082, 52616, 50902, 51233, 50856, 52763, 50876, 56255, 53889, 60305, 54978, 61063, 51132, 61178, 50878, 61693, 57995, 54978, 50806, 52894, 51573, 54609, 51492, 52949, 52392, 52301, 51696, 57002, 50876, 62931, 51091, 64082, 63266, 57249, 51033, 57340, 53592, 61599, 57249, 51226, 56546, 53592, 53889, 53644, 51132, 50894, 50931, 51158, 60026, 52896, 51132, 51505, 51001, 51235, 64082, 52616, 50801, 52995, 56061, 54492, 51132, 52717, 50321, 53639, 51137, 76932, 52862, 52995, 53889, 53563, 51349, 53318, 50316, 61467, 52995, 56061, 50818, 54983, 51745, 53503, 51696, 51914, 51696, 75482, 50871, 68995, 67922, 50937, 61401, 50829, 53158, 52670, 50906, 64763, 51008, 50871, 51203, 50856, 53889, 52975, 51526, 51014, 54978, 52717, 50306, 51328, 60026, 54034, 54978, 50962, 55511, 51566, 54978, 53318, 50302, 51115, 64082, 52616, 54978, 51460, 50871, 59539, 52763, 51132, 53936, 50314, 54367, 53889, 62962, 54978, 63695, 51349, 57169, 52995, 57950, 54978, 50894, 54983, 51541, 53503, 51264, 53455, 51696, 52301, 51036, 51953, 51036, 50900, 52071, 73952, 50861, 58204, 50901, 64082, 57030, 54978, 51388, 53158, 59136, 54560, 52311, 50423, 50861, 69074, 52872, 50916, 51121, 50861, 51060, 50906, 78576, 53889, 53644, 51526, 51033, 60026, 54034, 50861, 72020, 50820, 55511, 51566, 50861, 51192, 50906, 51060, 64082, 52616, 50856, 54284, 50861, 77117, 53533, 51132, 68188, 51286, 50906, 66435, 53889, 53563, 51349, 78291, 50866, 61693, 50837, 54983, 51541, 53455, 51696, 53503, 51696, 53088, 51696, 50956, 70978, 51060, 50906, 51016, 64082, 52761, 50956, 58253, 52670, 50861, 57594, 53889, 52975, 51526, 51033, 57249, 52640, 50314, 51134, 60026, 54034, 57249, 50882, 55511, 51500, 50956, 51166, 64082 ]

[ 0, 1121, 42, 8787, 5175, 15229, 6, 10, 38668, 483, 1239, 5, 8036, 6, 32971, 2933, 8, 15352, 30054, 2301, 81, 10, 4811, 4976, 30, 10, 6755, 12547, 8, 13602, 6757, 4, 83, 17605, 9590, 3639, 41, 20425, 2842, 7, 5, 2125, 6, 61, 30853, 23, 10, 182, 1769, 20889, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 230, 3694, 6, 24, 1575, 10, 33215, 13931, 9, 230, 401, 6, 163, 43531, 1176, 406, 6, 8, 272, 401, 6, 8216, 7, 63, 24486, 8, 25306, 1318, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 65919, 50796, 50796, 50799, 61290, 50830, 66680, 52167, 50706, 50333, 50830, 51395, 50830, 51284, 67068, 54664, 50967, 79810, 52167, 67469, 50830, 51201, 50830, 51384, 56908, 67409, 52167, 50706, 50335, 50830, 51201, 50830, 51304, 53244, 59246, 50818, 63626, 52167, 67409, 50830, 51266, 50830, 51558, 59161, 59860, 50818, 67281, 50829, 51583, 50991, 51856, 70900, 58148, 59797, 50737, 50317, 50809, 50737, 50322, 50809, 50737, 50327, 50809, 57412, 59586, 50737, 50320, 50809, 50737, 50325, 50809, 50737, 50330, 50809, 54235, 57993, 51296, 50967, 51633, 50795, 53381, 50845, 52269, 50845, 53282, 50795, 50448, 51046, 59671, 51643, 58740, 51633, 57450, 50778, 50306, 50800, 59061, 50800, 50778, 50330, 50800, 59411, 71026, 50318, 71026, 50330, 50800, 50799, 59860, 50818, 57931, 50818, 53394, 50795, 53209, 52115, 50667, 50276, 50818, 53797, 50795, 53441, 51631, 58148, 50818, 50775, 50318, 53182, 59860, 50818, 53482, 50795, 54025, 51646, 57931, 52210, 50667, 50277, 50820, 53508, 50795, 53931, 59830, 50667, 50277, 58321, 50667, 50277, 52725, 58148, 50818, 53394, 50807, 53209, 50807, 50775, 50318, 53312, 50667, 50276, 50818, 50799, 59860, 50818, 57931, 52432, 57931, 50818, 63241, 50800, 53512, 50800, 58428, 50800, 73295, 50800, 53789, 50810, 54222, 50810, 57605, 52654, 58148, 50818, 53633, 52417, 50667, 50276, 50818, 63103, 51112, 52174, 51112, 55939, 51112, 62028, 51112, 53014, 51025, 53310, 51025, 54442, 59290, 59860, 50818, 57931, 52210, 52451, 50818, 54664, 54028, 52451, 52396, 58148, 50818, 64034, 50817, 51521, 50807, 54198, 50807, 52655, 51112, 52908, 51112, 56042, 67768, 57931, 50818, 50799, 59860, 50818, 57931, 50818, 53394, 50795, 53209, 52115, 50667, 50276, 50818, 53797, 50795, 53441, 51631, 58148, 50818, 50775, 50318, 53182, 59860, 50818, 53482, 50795, 54025, 51646, 57931, 52210, 50667, 50277, 50820, 53508, 50795, 53931, 59830, 50667, 50277, 58321, 50667, 50277, 52725, 58148, 50818, 53394, 50807, 53209, 50807, 50775, 50318, 53312, 50667, 50276, 50818, 50799, 59860, 50818, 57931, 52432, 57931, 50818, 63241, 50800, 53512, 50800, 58428, 50800, 73295, 50800, 53789, 50810, 54222, 50810, 57605, 52654, 58148, 50818, 53633, 52417, 59860, 50818, 54476, 50818, 56915, 50983, 55794, 50983, 53714, 50983, 53190, 50983, 51491, 50983, 51165, 50983, 51201, 50983, 51690, 58624, 50667, 50276, 50818, 58148, 50818, 55022, 50795, 56256, 50865, 54862, 50865, 53714, 50865, 51394, 50830, 53089, 54896, 50667, 50276, 50818, 58148, 50818, 54198, 50795, 54264, 50865, 54427, 50865, 53112, 50865, 51304, 50830, 53506, 50830, 52591, 58148, 50818, 53797, 50795, 65405, 50917, 50706, 50340, 51021, 53441, 51736, 59860, 50818, 53482, 50795, 54025, 51646, 57931, 52210, 50667, 50277, 50820, 53508, 50795, 53931, 59830, 50667, 50277, 58321, 50667, 50277, 52725, 58148, 50818, 53394, 50807, 53209, 50807, 50775, 50318, 53312, 50667, 50276, 50818, 50799, 59860, 50818, 57931, 52432, 57931, 50818, 63241, 50800, 53512, 50800, 58428, 50800, 73295, 50800, 53789, 50810, 54222, 50810, 57605, 52654, 58148, 50818, 53633, 52417, 50667, 50276, 50818, 63103, 51112, 52174, 51112, 55939, 51112, 62028, 51112, 53014, 51025, 53310, 51025, 54442, 59290, 59860, 50818, 57931, 52210, 52451, 50818, 54664, 54028, 52451, 52396, 58148, 50818, 64034, 50817, 51521, 50807, 54198, 50807, 52655, 51112, 52908, 51112, 56042, 67768, 57931, 50818, 50799, 59860, 50818, 57931, 50818, 53394, 50795, 53209, 52115, 50667, 50276, 50818, 53797, 50795, 53441, 51631, 58148, 50818, 50775, 50318, 53182, 59860, 50818, 53482, 50795, 54025, 51646, 57931, 52210, 50667, 50277, 50820, 53508, 50795, 53931, 59830, 50667, 50277, 58321, 50667, 50277, 52725, 58148, 50818, 53394, 50807, 53209, 50807, 50775, 50318, 53312, 50667, 50276, 50818, 50799, 59860, 50818, 57931, 52432, 57931, 50818, 63241, 50800, 53512, 50800, 58428, 50800, 73295, 50800, 53789, 50810, 54222, 50810, 57605, 52654, 58148, 50818, 53633, 52417, 59860, 50818, 54476, 50818, 56915, 50983, 55794, 50983, 53714, 50983, 53190, 50983, 51491, 50983, 51165, 50983, 51201, 50983, 51690, 58624, 50667, 50276, 50818, 58148, 50818, 55022, 50795, 56256, 50865, 54862, 50865, 53714, 50865, 51394, 50830, 53089, 54896, 50667, 50276, 50818, 58148, 50818, 54198, 50795, 54264, 50865, 54427, 50865, 53112, 50865, 51304, 50830, 53506, 50830, 52591, 59860, 50818, 61947, 50818, 67281, 50820, 54330, 50983, 52123, 50983, 51584, 50983, 52974, 50983, 51113, 50983, 51266, 50983, 51905, 57345, 61018, 52600, 59860, 50818, 59410, 50818, 55160, 50983, 52041, 50983, 51902, 50983, 53811, 50983, 51357, 50983, 51600, 50983, 51811, 58624, 50667, 50293, 52738, 59860, 50818, 67281, 50828, 54198, 51605, 51555, 51605, 52037, 51605, 54102, 51605, 51488, 51605, 51394, 51605, 51690, 51605, 50799, 57457, 51306, 50415, 57533, 51306, 50416, 57457, 51004, 50417, 57533, 51004, 50418, 57457, 64159, 57533, 53070, 57457, 58158, 57533, 53423, 57533, 58830, 61947, 52762, 57533, 56171, 57533, 54013, 61947, 57531, 61018, 52953, 61947, 57201, 61018, 53593, 61018, 60631, 58899, 53219, 61018, 56484, 58899, 53905, 58899, 59457, 58588, 53027, 59860, 52396, 58148, 50818, 59410, 50818, 55393, 50807, 70613, 51054, 50727, 50327, 51054, 58428, 51054, 50732, 50336, 51054, 50799, 59860, 50818, 57931, 50818, 53394, 50795, 58559, 56202, 50667, 50276, 50818, 53797, 50795, 51856, 50911, 52464, 50795, 52197, 50795, 53761, 51631, 58148, 50818, 51245, 50911, 52197, 50795, 52107, 50795, 52730, 51736, 59860, 50818, 53482, 50795, 51593, 51090, 52544, 50807, 52730, 50807, 56361, 52424, 57931, 52210, 50667, 50277, 50820, 53508, 50795, 51323, 51090, 52464, 50807, 53761, 50807, 53043, 75626, 50667, 50277, 58321, 50667, 50277, 52725, 58148, 50818, 53394, 53312, 50667, 50276, 50818, 51940, 51138, 53761, 50865, 54843, 50865, 67499, 50865, 50799, 59860, 50818, 57931, 52432, 57931, 50818, 55151, 50800, 52150, 51237, 52730, 50807, 56361, 50807, 72963, 52910, 58148, 50818, 53633, 52417, 50667, 50276, 50818, 54289, 51112, 52106, 51012, 52107, 50795, 53043, 50795, 61892, 51646, 59860, 50818, 57931, 50818, 52856, 50911, 52253, 50795, 52730, 50795, 60791, 51918, 52451, 50818, 53482, 50820, 51940, 51012, 52107, 50795, 54843, 50795, 67499, 53658, 52451, 52396, 58148, 50818, 64034, 50817, 53394, 51112, 57971, 51112, 52117, 50810, 52696, 50810, 57390, 50810, 53378, 50866, 52987, 50866, 52117, 54752, 57931, 50818, 52106, 51138, 52730, 50865, 54843, 50865, 61892, 50865, 50799, 59860, 50818, 57931, 50818, 53394, 52115, 50667, 50276, 50818, 53797, 50795, 51593, 51090, 52107, 50807, 52730, 50807, 54843, 52910, 58148, 52209, 59860, 50818, 53482, 50795, 54909, 56859, 55388, 58024, 50733, 50337, 52565, 57931, 50818, 52970, 50809, 51906, 50809, 51776, 52510, 50667, 50277, 50820, 53508, 50795, 52970, 50809, 51906, 50809, 51776, 50809, 53216, 50795, 51855, 50795, 52086, 59830, 50667, 50277, 58321, 50667, 50277, 52725, 58148, 50818, 53394, 50807, 60220, 57136, 58417, 64314, 55594, 50829, 53787, 55097, 53844, 57690, 55087, 58677, 58957, 50829, 60601, 53017, 50667, 50276, 50818, 52103, 50795, 51713, 50795, 54822, 50795, 50799, 59860, 50818, 57931, 52432, 57931, 50818, 53797, 50795, 52306, 50809, 68610, 50809, 50712, 50340, 50809, 53283, 50809, 55452, 50809, 57210, 53467, 52306, 50809 ]

[ 0, 250, 19448, 3495, 2214, 702, 15, 13305, 11, 5, 762, 9, 272, 538, 6, 7630, 14805, 6453, 9, 657, 8, 11926, 4, 590, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 3676, 6, 230, 6, 8, 163, 119, 6, 2351, 10, 5679, 26709, 5466, 10686, 13, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 51809, 50861, 58125, 51085, 51490, 50431, 51026, 52212, 64185, 54829, 50900, 51490, 50433, 50861, 51449, 50876, 52151, 75695, 50968, 51060, 65281, 66425, 51315, 52519, 77025, 55812, 50443, 50916, 53674, 50444, 50968, 52015, 50906, 52916, 50861, 65278, 50876, 52783, 75695, 50902, 51189, 50441, 51050, 52212, 77025, 52212, 57428, 56458, 50861, 52136, 50877, 52263, 50876, 51244, 50796, 63174, 50978, 50436, 71477, 50440, 50877, 59837, 51085, 54557, 67655, 51878, 51026, 61124, 50447, 50916, 55002, 50796, 50433, 59285, 50443, 51085, 52503, 50445, 51026, 51748, 50447, 50899, 53588, 50448, 50861, 52988, 50876, 52062, 50449, 50916, 52727, 50796, 50443, 50968, 51110, 51120, 51277, 50449, 51197, 70202, 60734, 77746, 50458, 50861, 53142, 51315, 52015, 50459, 50876, 53588, 50460, 50968, 51680, 53069, 50900, 61653, 50427, 50916, 52168, 50446, 51050, 51328, 65338, 53069, 50876, 51381, 56978, 53849, 50902, 51542, 50422, 50951, 53082, 50428, 50899, 53849, 73866, 53233, 50440, 50877, 51413, 73227, 51060, 50452, 50902, 51353, 50461, 50973, 51592, 50796, 50448, 50968, 50955, 52177, 51315, 63160, 50900, 54829, 50418, 50861, 55490, 50916, 51447, 50876, 52222, 50420, 50951, 51447, 50443, 50968, 51162, 50453, 50951, 51095, 51120, 64224, 50968, 50837, 52591, 51085, 52431, 50421, 51026, 52528, 50423, 50899, 55086, 50424, 50861, 54829, 50916, 55490, 50906, 52335, 50876, 53588, 51601, 50861, 61799, 51247, 52256, 50432, 51085, 53838, 50433, 51027, 51330, 69374, 51748, 50871, 51449, 50877, 51803, 51809, 63830, 50429, 50876, 50932, 50437, 50877, 58141, 51085, 54557, 50446, 51026, 54532, 50447, 50899, 53577, 50449, 50916, 64880, 50861, 52783, 50796, 57267, 56132, 51279, 52140, 50460, 51315, 52431, 53975, 55586, 74354, 51449, 50916, 52988, 50876, 51662, 50451, 50968, 51345, 50458, 51966, 56551, 50876, 51689, 50298, 51126, 55753, 51026, 52136, 50861, 52980, 51214, 53233, 50916, 51680, 50968, 51680, 50876, 52015, 50442, 51026, 54171, 53069, 50861, 54228, 55961, 54228, 50902, 52519, 50973, 54228, 56020, 51027, 52916, 50876, 51679, 50429, 50916, 53161, 50436, 50877, 51737, 50443, 50916, 51697, 50449, 50877, 52782, 50455, 50916, 51166, 50461, 51027, 52783, 53069, 50916, 51387, 79143, 51376, 50431, 50916, 51432, 50437, 50877, 52192, 50443, 50916, 51824, 50449, 51027, 52140, 50455, 50916, 51166, 54852, 51824, 56440, 53010, 50427, 50877, 51432, 50433, 50916, 51079, 50440, 51027, 52140, 50447, 50916, 51884, 50454, 50877, 52167, 50461, 50916, 52059, 55753, 50877, 54861, 50951, 51518, 50430, 50916, 51806, 50441, 51062, 51191, 50442, 51027, 55776, 50449, 50916, 51753, 50455, 50877, 52782, 50461, 50916, 52063, 53069, 50877, 52782, 50420, 51430, 55035, 51062, 51309, 50916, 52518, 50433, 51027, 52140, 51430, 51103, 50440, 50916, 51432, 78933, 52518, 50452, 50916, 51432, 50459, 51146, 51343, 50877, 55778, 52478, 50916, 52966, 51062, 51145, 50427, 51050, 70316, 50433, 50900, 51074, 69332, 67446, 50900, 50972, 73867, 51481, 50999, 51013, 50458, 50900, 50891, 51809, 51315, 74826, 51623, 50422, 51086, 51079, 50428, 50916, 69783, 50989, 54848, 50443, 50861, 55778, 59758, 66955, 51253, 50460, 51027, 52168, 51062, 51127, 53069, 50916, 51079, 79143, 51006, 50431, 50916, 51376, 50436, 67514, 51430, 50795, 50442, 51062, 51060, 50916, 51166, 50448, 51027, 52015, 51430, 51356, 50454, 50916, 50972, 50460, 50877, 50978, 52177, 50916, 50838, 50424, 50877, 52169, 50330, 64247, 50916, 53115, 51315, 51380, 51487, 50854, 50440, 51814, 56532, 51487, 53487, 50442, 51086, 51277, 50449, 50916, 68384, 50989, 73894, 50861, 50937, 52478, 50916, 59768, 51315, 51097, 50431, 51086, 50972, 50437, 50916, 51277, 50443, 50989, 51309, 56222, 51423, 51430, 51446, 50459, 50916, 51319, 56020, 51027, 52980, 51487, 51115, 50429, 50916, 51884, 50435, 50877, 60887, 51430, 51177, 50916, 71106, 50877, 53130, 50335, 60976, 51430, 51177, 50916, 52782, 50459, 51027, 52015, 51062, 50918, 52177, 50916, 50972, 50422, 50877, 51058, 50428, 50916, 51174, 50434, 50877, 52363, 50323, 50896, 50440, 50916, 57785, 50999, 51397, 51050, 52916, 75074, 51884, 50459, 50871, 52731, 52177, 50900, 52063, 50418, 51062, 63339, 50871, 52518, 51062, 51233, 50431, 50900, 60838, 50999, 51363, 50439, 51315, 52256, 50951, 51452, 50447, 51086, 51753, 50453, 50916, 64735, 50989, 51642, 52478, 50861, 51328, 50425, 50916, 70789, 51203, 50433, 51050, 52168, 50434, 51062, 51127, 50440, 50900, 50974, 72785, 50974, 50452, 50900, 51277, 50458, 50871, 51679, 51430, 50893, 51809, 51062, 51175, 50417, 50900, 51481, 50424, 51026, 51542, 51430, 51685, 50431, 50899, 51277, 50437, 50861, 53624, 62804, 50452, 50973, 50907, 51146, 69189, 50861, 50837, 59412, 50968, 52598, 51027, 52528, 50427, 51062, 51283, 50434, 50916, 51074, 50440, 65997, 50446, 50973, 75013, 50876, 51174, 50458, 50861, 51079, 51809, 51027, 51680, 50422, 50916, 51637, 50428, 50877, 51108, 50434, 61661, 50440, 60437, 67655, 51006, 50452, 51027, 51790, 50458, 50916, 51318, 51809, 50877, 51267, 50422, 50973, 63601, 50876, 62500, 50861, 50974, 50440, 51027, 51677, 50447, 50916, 52062, 50453, 50877, 51314, 50460, 50973, 52034, 52591, 50876, 64644, 50951, 59921, 50968, 51314, 50439, 51027, 52168, 51062, 51314, 50446, 50916, 70792, 50877, 68571, 50916, 50974, 51601, 50877, 68636, 51458, 50332, 50937, 56440, 51481, 50968, 51242, 51062, 51212, 50427, 50951, 51077, 51027, 51637, 50428, 51430, 51417, 50433, 50916, 77046, 71869, 65827, 56060, 50931, 51242, 51026, 51194, 50451, 51146, 75817, 50861, 51100, 57289, 51003, 50415, 51050, 51790, 50416, 51062, 51290, 63686, 50845, 73343, 50917, 56014, 51101, 69332, 58000, 77698, 70577, 50900, 69232, 50973, 51939, 50452, 51315, 51330, 50454, 50951, 51127, 50460, 51086, 50892, 52478, 50916, 67078, 50989, 51111, 79580, 59079, 50951, 54400, 50968, 51244, 51027, 51637, 50446, 51062, 51047, 50451, 50916, 71248, 57634, 50461, 50916, 50974, 53069, 64190, 50951, 65799, 50938, 50425, 50968, 51060, 50916, 51309, 51062, 51100, 50430, 50951, 51291, 74769, 51742, 51430, 51336, 59419, 50873, 50443, 64940, 50449, 50916, 62034, 51146, 62125, 50878, 55524, 54604, 51220, 53233, 51315, 51108, 50425, 51487, 52382, 50431, 51086, 65668, 50916, 50917, 50442, 50989, 50873, 50448, 50861, 66941, 50916, 57023, 51315, 51159, 52177, 51086, 63867, 50916, 50873, 50428, 50989, 51242, 50435, 69940, 51430, 59586, 50899, 63653, 50951, 51939, 50452, 51062, 51417, 50453, 51085, 51351, 50454, 51487, 51496, 50461, 51026, 50873, 53069, 50900, 78960, 50899, 51100, 51430, 51173, 50430, 50916, 50795, 51487, 51541, 50431, 51062, 50879, 50436, 50900, 50828, 51430, 70035, 50951, 50884, 51062, 51585, 51279, 50889, 50446, 50951, 77307, 51315, 50917, 50455, 51027, 51060, 57542, 51309, 50421, 50900, 51328, 50428, 50951, 61360, 50876, 51749, 63451, 51692, 50439, 50999, 51218, 50445, 50900, 51328, 73867, 64801, 76531, 66695, 50900, 51309, 51809, 50931, 51095, 50871, 51212, 51062, 51111, 50423, 50999, 72891, 64559, 62225, 50973, 51939, 50432, 51315, 50932, 50433, 50951, 51148, 50440, 51086, 51174, 50445, 50916, 71474, 50989, 51481, 50459, 62007, 52478, 50951, 63726, 50968, 52783, 50428, 51050, 52980, 50430, 51062, 51314, 50436, 50900, 50838, 50442, 50871, 50866, 50448, 50900, 59354, 50871, 74826, 50805, 51430, 64959 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 13305, 483, 7513, 30, 21072, 6, 38668, 2236, 6, 21979, 9590, 6, 8, 38668, 11212, 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, 211, 6, 272, 73, 495, 6, 8, 83, 406, 3639, 7, 63, 17627, 17274, 5466, 6, 150, 12405, 223, 34693, 9, 15073, 5042, 5581, 7, 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 ]

[ 54458, 65679, 50833, 51086, 64912, 50833, 71774, 51098, 50873, 50418, 51028, 54878, 51026, 50833, 51086, 64912, 50833, 71702, 51098, 50873, 50424, 51028, 54156, 51026, 50833, 51086, 64912, 50833, 71702, 51098, 50873, 50430, 51028, 54216, 51026, 50833, 51086, 64912, 50833, 50902, 50873, 51098, 50873, 51057, 62784, 64001, 59755, 50968, 50910, 51150, 50873, 50418, 51001, 50855, 53502, 50833, 64001, 59755, 50968, 50925, 51150, 50873, 50424, 51001, 50855, 53523, 50833, 64001, 59755, 50968, 50925, 51150, 50873, 50430, 51001, 54216, 62784, 64001, 59755, 50968, 50873, 51150, 50873, 64690, 50833, 70947, 59755, 60040, 78690, 51389, 50873, 50418, 50931, 50855, 54569, 50833, 70947, 59755, 60040, 51114, 50925, 51389, 50873, 50424, 50931, 50855, 53337, 50833, 70947, 59755, 60040, 51114, 50873, 51389, 54259, 74654, 70947, 59755, 60040, 51389, 50873, 64690, 50833, 58893, 68530, 65515, 51389, 50873, 50416, 51220, 70630, 50999, 50855, 54569, 50833, 58893, 68530, 65515, 51389, 50873, 50422, 51114, 70884, 50968, 50855, 53337, 50833, 58893, 68530, 74576, 51389, 54259, 74654, 58893, 68530, 51389, 50873, 51057, 51086, 64912, 50833, 58893, 51146, 50910, 51668, 50873, 51925, 62740, 51399, 54878, 51086, 64912, 50833, 58893, 51146, 50925, 51668, 50873, 50424, 51399, 54156, 51086, 64912, 50833, 58893, 51146, 50925, 51668, 50873, 50430, 51399, 54216, 51086, 64912, 50833, 58893, 51146, 50873, 51668, 50873, 51925, 50884, 51057, 62784, 64001, 59755, 51430, 50910, 51150, 50873, 51925, 62740, 51405, 50855, 53502, 50833, 64001, 59755, 51430, 50925, 51150, 50873, 50424, 51405, 50855, 53523, 50833, 64001, 59755, 51430, 50925, 51150, 50873, 50430, 51405, 54216, 62784, 64001, 59755, 51430, 50873, 51150, 50873, 51925, 50884, 64690, 50833, 70947, 59755, 60040, 51787, 50910, 51389, 50873, 51925, 62740, 51339, 50855, 54569, 50833, 70947, 59755, 60040, 51787, 50833, 51389, 60522, 51339, 62782, 51787, 50925, 53337, 50833, 70947, 59755, 60040, 51389, 62554, 51339, 61218, 51787, 54259, 74654, 70947, 59755, 60040, 51389, 50873, 51925, 50884, 52323, 50861, 67844, 51588, 50335, 50937, 52078, 55067, 63197, 64600, 53117, 50937, 50422, 51487, 50925, 53337, 75762, 60701, 59390, 51588, 50334, 50937, 51389, 51056, 58863, 63519, 51814, 78344, 51787, 50925, 57267, 51056, 51487, 51056, 52078, 51056, 58960, 57901, 50949, 52323, 53077, 59771, 53077, 57817, 53863, 51056, 51214, 51417, 51026, 51417, 51098, 51417, 54933, 53116, 55602, 60959, 50943, 52261, 51057, 54985, 57094, 51121, 50973, 64210, 54726, 53223, 53863, 58871, 50873, 64612, 55602, 51458, 50292, 51056, 51461, 51056, 54933, 52667, 53771, 61027, 51121, 52261, 51057, 69940, 50876, 64210, 54726, 53223, 53771, 61027, 50873, 64612, 55602, 51458, 50294, 51056, 51273, 51056, 54933, 52667, 53771, 58871, 51121, 52261, 51057, 53077, 64813, 51121, 80239, 50876, 64210, 54726, 53223, 53250, 58871, 50873, 64612, 56213, 51056, 76341, 73964, 54933, 52667, 50899, 51121, 52261, 51057, 56213, 57094, 51121, 50973, 64210, 54726, 53223, 53077, 58871, 53946, 50841, 53327, 52870, 53771, 51458, 50284, 51056, 51315, 51056, 51493, 51056, 65091, 52667, 53077, 61027, 57094, 62879, 50873, 52261, 51057, 53250, 61027, 57094, 62879, 53946, 51406, 53223, 56213, 61027, 57094, 62879, 56895, 52870, 53077, 51458, 50280, 51056, 51085, 51056, 51461, 51056, 65091, 52667, 53250, 74669, 58800, 56964, 50873, 52261, 73567, 58800, 56964, 53946, 51406, 53223, 54812, 61027, 58800, 56964, 56895, 52870, 56213, 51458, 50282, 51458, 50294, 50873, 51273, 50873, 54933, 52667, 56213, 58871, 57094, 62879, 53946, 54726, 50841, 51057, 53077, 51458, 50282, 51458, 50294, 50873, 51273, 50873, 54933, 53223, 53250, 58871, 64813, 58800, 56964, 53946, 54726, 52870, 56213, 51056, 51214, 51056, 51026, 60959, 61317, 50973, 51056, 73964, 64589, 60368, 52667, 50804, 50841, 52594, 50841, 51057, 51553, 56933, 51456, 53223, 56213, 53376, 50576, 54477, 56213, 53376, 50576, 52870, 55343, 51458, 50284, 51056, 51315, 51056, 51493, 51056, 65091, 52667, 53863, 57094, 58800, 64651, 53946, 59325, 51057, 55602, 57094, 58800, 64651, 53946, 51406, 53223, 53771, 57094, 58800, 64651, 53946, 54726, 52870, 55602, 51458, 50282, 51056, 51120, 51056, 51273, 51056, 65091, 52667, 53077, 64813, 58800, 59353, 53946, 59325, 51057, 50989, 58800, 59353, 53946, 51406, 53223, 55602, 64813, 58800, 59353, 53946, 54726, 52870, 55602, 51458, 50289, 51056, 51027, 51056, 51216, 51056, 65091, 52667, 53771, 61027, 57094, 58800, 64651, 53946, 59325, 51057, 53863, 61027, 57094, 58800, 64651, 53946, 51406, 53223, 55602, 61027, 57094, 58800, 64651, 53946, 54726, 52870, 53077, 51056, 51120, 51111, 50899, 51111, 50989, 51157, 50877, 51157, 50902, 51157, 51389, 50873, 64589, 60368, 52667, 51085, 51121, 50900, 51121, 51150, 50873, 52855, 52897, 50841, 51057, 51324, 51121, 51086, 51121, 51668, 50873, 52855, 52418, 53223, 55062, 50833, 51279, 71942, 50873, 51216, 50873, 52855, 52388, 54477, 54812, 53049, 56213, 50805, 51214, 67860, 57260, 74830, 50805, 51098, 51654, 54499, 53934, 52927, 56213, 50805, 52112, 51057, 53250, 51442, 50289, 69748, 58548, 62838, 57253, 50879, 51216, 50879, 58863, 53347, 53829, 53250, 53417, 53150, 53077, 70786, 70167, 59238, 56294, 58404, 50806, 51668, 50806, 56150, 52586, 52975, 53077, 51575, 50883, 79296, 53771, 51454, 51085, 51454, 50900, 75930, 51454, 50876, 51454, 50968, 51454, 51150, 51454, 58960, 53732, 72086, 55229, 50631, 56213, 51455, 50294, 59537, 57348, 61622, 50845, 51389, 54035, 53784, 53270, 52417, 53077, 50845, 51762, 51057, 53077, 51455, 50282, 51455, 50294, 63327, 63142, 57069, 50845, 51273, 54035, 53784, 53270, 52761, 61594, 50845, 58522, 55062, 51134, 51214, 51134, 51026, 51134, 51086, 51134, 74876, 68856, 51098, 59084, 53784, 57900, 52417, 51224, 53908, 51224, 50820, 51057, 51326, 55138, 51326, 52761, 51289, 53744, 51289, 52639, 50902, 52236, 50299, 50821, 51086, 69858, 50821, 51098, 52090, 51041, 68016, 50951, 51014, 63975, 52236, 50299, 50821, 51086, 69858, 50821, 51098, 50806, 56150, 51041, 59382, 50951, 51014, 51057, 50968, 52236, 50299, 66728, 73235, 50821, 51098, 52090, 51041, 64664, 50951, 51014, 67855, 52236, 50299, 66728, 73235, 50821, 51098, 50806, 56150, 51041, 59013, 50951, 61177, 51114, 50821, 51027, 61805, 59238, 80224, 52090, 51041, 68016, 50968, 67757, 50902, 54053, 51114, 50821, 51027, 61805, 59238, 80224, 50806, 56150, 51041, 59382, 50968, 67066, 50902, 50880, 52323, 50622, 51026, 51055, 51086, 65610, 51055, 76977, 69278, 56150, 56561, 53087, 50631, 53077, 50936, 52135, 50936, 51979, 50936, 55291, 50936, 51224, 52975, 53077, 50936, 52135, 50936, 51979, 50936, 55291, 50936, 51224, 53294, 53863, 51055, 52135, 51055, 51979, 51055, 55291, 51055, 51214, 51285, 51026, 51285, 51098, 51285, 56639, 50883, 51057, 53077, 50806, 52135, 50806, 51979, 50806, 55291, 59238, 68601, 52420, 52893, 53336, 56213, 50806, 52135, 50806, 51979, 50806, 55291, 59238, 68601, 52420, 52893, 53087, 53863, 50806, 52135, 50806, 51979, 50806, 60985, 59238, 68601, 52420, 76652, 55602, 50806, 51643, 50806, 51979, 50806, 55297, 50806, 52206, 51055, 51085, 51055, 51461, 51055, 56639, 50883, 51057, 53771, 50806, 51643, 50806, 51979, 50806, 55297, 78919, 74549, 52893, 53336, 50916, 56294, 74549, 52893, 53087, 53771, 50806 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 15855, 16882, 6, 4246, 21979, 8669, 6, 38668, 11212, 6, 13305, 6, 38668, 22052, 6, 8, 2342, 4467, 6, 7630, 14805, 10, 19448, 8, 5679, 26709, 1619, 5466, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 30853, 23, 41, 1614, 1073, 1020, 20889, 9, 5595, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 14, 1171, 274, 6, 230, 6, 274, 401, 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 ]

[ 57528, 57528, 51405, 53704, 50886, 53861, 52584, 52071, 50872, 52598, 57697, 68086, 52693, 60130, 53465, 60130, 53460, 66898, 51039, 51297, 50909, 52618, 72451, 51000, 51257, 51447, 51361, 51297, 51439, 56329, 50438, 51405, 54109, 53111, 50904, 50909, 58483, 50443, 51649, 55002, 51180, 51297, 50449, 50909, 52011, 51955, 51421, 63340, 55301, 52312, 50321, 54861, 51453, 51297, 50458, 51788, 63298, 50876, 51123, 53019, 59854, 50872, 55490, 76953, 69687, 51697, 50801, 51559, 50904, 52584, 51941, 50416, 53019, 50971, 53729, 51524, 50419, 50909, 52011, 63766, 52782, 59526, 53019, 52946, 50423, 51788, 51470, 50425, 50931, 75381, 50321, 52397, 51768, 52633, 57903, 51438, 56563, 59409, 52440, 50791, 51297, 52138, 52980, 50437, 51405, 50839, 51658, 50867, 52470, 50909, 53010, 51180, 50928, 51257, 54298, 50447, 68860, 50449, 51439, 52397, 51955, 51239, 50813, 55301, 51109, 51032, 55371, 51067, 51319, 50455, 50909, 51432, 51453, 51319, 51438, 65319, 51032, 52514, 50461, 51526, 70336, 61507, 52222, 51257, 50908, 52138, 50982, 57556, 51074, 52693, 66898, 53361, 60130, 55796, 60130, 51438, 51306, 76953, 53243, 53111, 50904, 51526, 52536, 53729, 52011, 50419, 51257, 52025, 51039, 59509, 52403, 51884, 51768, 51044, 64205, 52138, 51961, 51361, 61562, 51405, 50862, 51257, 52618, 51658, 51559, 64101, 52403, 54532, 51180, 67421, 57556, 54211, 51955, 52207, 62802, 51257, 51884, 51453, 51297, 52584, 74304, 50939, 52528, 76953, 53959, 55316, 50971, 51526, 51077, 50419, 51257, 52063, 51039, 64367, 72960, 62475, 62364, 51269, 51768, 52207, 50857, 52403, 52518, 50429, 55543, 79956, 53729, 50864, 51361, 51128, 52138, 58468, 55543, 55270, 53729, 51297, 50436, 53019, 56374, 50437, 51257, 64896, 51405, 54355, 52223, 68937, 52403, 52519, 50444, 50951, 52996, 53861, 52584, 50983, 50449, 51257, 51466, 51955, 51044, 64405, 50931, 52782, 50939, 51524, 56672, 50928, 53679, 52731, 50461, 50876, 56563, 50909, 51000, 51257, 53680, 50323, 55798, 50309, 54171, 53460, 66898, 52693, 60130, 52684, 55597, 76953, 53309, 55181, 50857, 52584, 51945, 50419, 51062, 52440, 50909, 53010, 51039, 58990, 51257, 52059, 51768, 51179, 56657, 52138, 56329, 51361, 67009, 50909, 52397, 50438, 51405, 53959, 51539, 64101, 51257, 51884, 51180, 57855, 51439, 53280, 51955, 51139, 59163, 50909, 53010, 51453, 51128, 76953, 55503, 50886, 52385, 52584, 52069, 50872, 53142, 50419, 50909, 52025, 51039, 64761, 51257, 53010, 51768, 52304, 50836, 53019, 57544, 53729, 51128, 67292, 50431, 51062, 63309, 51649, 54298, 50432, 51339, 53838, 52622, 51064, 51128, 53019, 66129, 51788, 50827, 60265, 50437, 50909, 52618, 50438, 51405, 53309, 51750, 50863, 51438, 55812, 50441, 51067, 50974, 50443, 51257, 52025, 50444, 51339, 52518, 52622, 55796, 55002, 50447, 51438, 51022, 50449, 52138, 51965, 51955, 52304, 50867, 51563, 51470, 50455, 52357, 56374, 50909, 53010, 51453, 50891, 55301, 50854, 51438, 58468, 50459, 57435, 61243, 50872, 51748, 68449, 51126, 51686, 51537, 50331, 53959, 51464, 50864, 52584, 51945, 53465, 55275, 50419, 51606, 51123, 51686, 57262, 52011, 51039, 62973, 51752, 51128, 51565, 50867, 51257, 51470, 51768, 52207, 60155, 51606, 52147, 51686, 51148, 50431, 51439, 52025, 51361, 60622, 50909, 53010, 50438, 51405, 53309, 51464, 61285, 51257, 52063, 50444, 52295, 51423, 52622, 50449, 50909, 52378, 50450, 52471, 51481, 62418, 62802, 51257, 51387, 57697, 51737, 51453, 63917, 52547, 51662, 50461, 51752, 50908, 51565, 50867, 51596, 51126, 51526, 50828, 52403, 53010, 54522, 53678, 53361, 55275, 55796, 55275, 76953, 53309, 51539, 50864, 51526, 51591, 50939, 51293, 50419, 51596, 51000, 51565, 50813, 51257, 51466, 51039, 59509, 51596, 51000, 51606, 50862, 51768, 51179, 50857, 52403, 53010, 50430, 51596, 52407, 51565, 51562, 72164, 57556, 51797, 51438, 51824, 50438, 51405, 53959, 53065, 50886, 51257, 52059, 50442, 52009, 51242, 51180, 50870, 55298, 50943, 56622, 52519, 51438, 54043, 51563, 54088, 50448, 52295, 50987, 50449, 51257, 51333, 51955, 51406, 53922, 52547, 50987, 50455, 52403, 51387, 56672, 63414, 52547, 51939, 50461, 51789, 50891, 51686, 50813, 51606, 51000, 51439, 50870, 52138, 50928, 57556, 50891, 50909, 50870, 51257, 50928, 52403, 50891, 56336, 51129, 76953, 53704, 50886, 53861, 52584, 52071, 50872, 52598, 57697, 59519, 52693, 55275, 53465, 55275, 53460, 58306, 50419, 51606, 51000, 51686, 70421, 51297, 50909, 52618, 50424, 51752, 51126, 51565, 50857, 72451, 51000, 51257, 51447, 50430, 51606, 51703, 51686, 51183, 51361, 51297, 51439, 56329, 50438, 51405, 54109, 53111, 50904, 50909, 58483, 50443, 51649, 55002, 51180, 67676, 51716, 52011, 50449, 50909, 52011, 51955, 51421, 63340, 55301, 52312, 50321, 51737, 51453, 51297, 50458, 51788, 63298, 50876, 50908, 53019, 56842, 51752, 50908, 51596, 51126, 51565, 64052, 51126, 55298, 73819, 50908, 50939, 55490, 51257, 50908, 52403, 51004, 52138, 50982, 54039, 50982, 54522, 59519, 52693, 58306, 53361, 55275, 55796, 55275, 60738, 50834, 76953, 77358, 51697, 50801, 51559, 50904, 51526, 50895, 51526, 51977, 50415, 51716, 53142, 50416, 60738, 50971, 62364, 51524, 50419, 51596, 51128, 51565, 50886, 51257, 52011, 50420, 51081, 52782, 59526, 60738, 52946, 50423, 55543, 51470, 50425, 51596, 51000, 51606, 63297, 75381, 50326, 52397, 51768, 52633, 57903, 53019, 56563, 50431, 51596, 52482, 51565, 77066, 50931, 52440, 50791, 51297, 57556, 52980, 50437, 51405, 50839, 51658, 50867, 52470, 51257, 53010, 50442, 51596, 51123, 51606, 50844, 51180, 50928, 52403, 54298, 50447, 72318, 50448, 51596, 52460, 51565, 51255, 50449, 52138, 54344, 51955, 51239, 50813, 52584, 51109, 51438, 55371, 51563, 51319, 50455, 51257, 51432, 51453, 51319, 53019, 65319, 51438, 52514, 50461, 51606, 51000, 51686, 50862, 55301, 50820, 52584, 50820, 52584, 51356, 51439, 50908, 54039, 50982, 59048, 50870, 50909, 62831, 51244, 50909, 50908, 51439, 50982, 52138, 51074, 52507, 51258, 53465, 51129, 56336, 51129, 53460, 56308, 52693, 53801, 53465, 53801, 51032, 51306, 51563, 51306, 76953, 53243, 53111, 50904, 51563, 52011, 50419, 51673, 50943, 51686, 51333, 50909, 52025, 51039, 59509, 51257, 51884, 51768, 51044, 64205, 51439, 51254, 51361, 70227, 51686, 50928, 51886, 51244, 51606, 52147, 51684, 50895, 51684, 51661, 50848, 51749, 51149, 51852, 56035, 56308, 52583, 53801, 52684, 53801, 50437, 51405, 58434, 52618, 51658, 51559, 64101, 51007, 53280, 51180, 67421, 51649, 52025, 51955, 52207, 62802, 50850, 51074, 51453, 51297, 54144, 74304, 51606, 50891, 51673, 50901, 51686, 50891, 55803, 51481, 52584, 62660, 75472, 50870, 50909, 50870, 51257, 50908, 52138, 50928, 53460, 51258, 52693, 51129, 53465, 51129, 68449, 52511, 50331, 53959, 55316, 50971, 51684, 50846, 51526, 50846, 51526, 51077, 50848, 67804, 50870, 51007, 50908, 51649, 50928, 50939, 51490, 52403, 50908, 57556, 50928, 56035, 51258, 52583, 51129, 52684, 51129, 52693, 56308, 53361, 53801, 55796, 53801, 50418, 54155, 50932, 50419, 51257, 52063, 50420, 51596, 50891, 51565, 50820, 51596, 52996, 51686, 58880, 64367, 72960, 62475, 62364, 51269, 51768, 52207, 50857, 52403, 52518, 50429, 55543, 79956, 51596, 52179, 51606, 50933, 53372, 51079, 53729, 50864, 51361, 51128, 52138, 52782, 55543, 55270, 53729, 51297, 50436, 54155, 51097, 53019, 66643, 51596, 50891, 51606, 50915 ]

[ 0, 250, 8787, 5175, 2125, 19, 10, 2842, 9, 3495, 6, 17407, 30, 63, 2635, 226, 22740, 20889, 8, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 272, 538, 6, 5, 13305, 1239, 5, 483, 6, 32971, 10, 15352, 30054, 5797, 990, 1506, 14, 7630, 6568, 6453, 9, 657, 8, 26545, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 2369, 36546, 4, 20, 15229, 16, 24028, 30, 5, 40286, 272, 8, 1918, 406, 6, 2351, 10, 32625, 8, 20425, 5466, 1328, 63, 3112, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 72191, 50861, 51212, 50900, 60817, 65177, 50629, 50420, 50627, 50876, 51100, 50423, 50627, 50426, 50627, 50968, 51101, 50900, 76371, 61087, 61271, 50629, 50902, 68068, 50627, 50968, 58927, 50931, 51101, 67104, 50900, 59783, 74244, 50627, 50444, 50629, 50445, 50999, 62617, 50627, 50450, 50627, 62440, 65735, 50900, 65300, 51003, 50453, 50627, 50456, 50629, 50459, 50627, 57530, 50902, 51242, 70574, 71527, 50900, 66885, 50627, 50420, 50629, 50421, 50902, 67724, 50627, 50424, 50968, 57818, 50627, 50427, 50902, 51177, 50871, 52188, 50861, 52188, 50900, 70342, 50627, 50432, 50628, 50433, 50968, 61647, 50627, 50438, 50627, 78201, 51309, 50871, 52056, 50861, 52056, 50900, 67302, 50628, 50445, 50973, 52518, 50447, 50627, 50450, 50627, 50451, 50876, 54126, 50308, 51709, 50900, 63821, 51108, 50453, 50627, 50456, 50629, 50457, 50876, 55778, 50459, 50627, 57530, 74354, 55778, 50900, 58556, 50308, 53838, 50417, 50627, 50420, 50627, 50421, 50876, 53010, 50423, 50629, 50426, 50627, 50427, 50968, 54861, 50900, 58556, 50308, 58556, 50311, 53838, 50432, 50627, 50433, 50902, 52167, 50435, 50629, 50436, 50968, 75594, 50627, 50439, 50931, 53010, 50871, 72057, 50861, 72057, 50900, 53838, 50441, 50627, 50444, 50627, 50446, 50999, 51697, 50447, 50629, 50450, 50627, 73867, 53697, 50900, 58556, 50311, 58556, 50323, 52618, 50453, 50627, 50459, 50629, 57530, 75456, 54298, 50871, 55765, 50861, 55765, 50900, 52618, 50417, 50627, 50420, 50627, 50422, 50902, 52167, 50423, 50629, 50425, 50968, 72656, 50627, 50428, 50902, 53010, 50861, 56615, 50871, 54344, 50900, 52397, 50429, 50627, 50432, 50627, 50434, 50968, 51387, 50435, 50629, 50438, 50627, 50440, 50877, 55789, 50871, 54344, 50861, 54344, 50900, 52397, 50444, 50627, 50446, 50973, 54861, 50447, 50629, 50450, 50627, 50452, 50916, 55765, 50861, 55765, 50900, 58556, 50316, 53838, 50453, 50627, 50456, 50627, 50459, 50627, 57333, 50416, 50861, 51277, 50916, 51775, 50900, 51108, 50417, 50627, 68225, 51177, 50423, 50627, 50426, 50629, 50428, 50968, 51242, 50916, 52056, 50861, 52056, 50900, 51108, 50429, 50627, 50432, 50627, 50434, 50902, 66859, 50627, 50437, 50968, 59577, 50629, 50440, 50931, 51242, 62440, 65735, 50900, 51333, 50441, 50627, 50444, 50627, 50447, 50627, 50999, 54058, 50629, 50452, 50871, 52056, 50861, 52056, 50900, 68294, 51003, 50453, 50627, 50456, 50627, 50459, 50627, 56103, 50416, 80039, 50871, 68120, 50900, 51108, 50417, 50627, 50420, 50627, 50423, 50902, 55440, 50628, 50968, 66942, 50627, 50902, 51212, 62440, 50900, 63821, 64809, 50627, 50435, 50627, 50968, 52718, 50629, 50441, 50627, 50877, 51309, 50871, 68120, 50900, 76733, 50627, 50447, 50627, 50973, 52063, 50450, 50627, 50453, 50629, 50876, 54298, 50916, 52996, 71527, 50900, 56109, 50627, 50459, 50627, 50876, 51432, 57530, 50417, 50629, 50861, 54298, 50916, 72057, 50900, 53838, 50420, 50627, 50423, 50627, 50876, 53010, 50426, 50627, 50429, 50629, 50968, 53010, 50916, 53697, 50900, 58556, 50311, 53838, 50432, 50627, 50435, 50627, 50902, 75594, 50968, 52179, 50441, 50629, 50442, 50931, 54126, 50304, 55036, 50309, 55036, 50311, 52397, 50444, 50627, 50447, 50627, 50448, 50999, 63050, 50627, 50453, 50629, 50454, 50871, 61887, 50861, 61887, 50900, 60667, 50323, 52397, 50456, 50627, 50459, 50627, 52177, 50629, 80121, 54126, 50304, 60667, 50309, 60667, 50311, 56123, 50420, 50627, 50423, 50627, 50424, 50902, 72656, 50627, 50427, 50968, 52179, 50429, 50629, 50430, 50902, 54861, 50871, 54836, 50861, 54836, 50900, 52025, 50432, 50627, 50435, 50627, 50436, 50968, 64896, 50627, 50442, 50877, 55789, 50871, 55574, 50861, 55574, 50900, 52618, 50444, 50629, 50447, 50627, 50448, 50973, 54861, 50450, 50627, 50453, 50627, 50454, 50916, 54344, 50900, 58556, 50311, 58556, 50316, 56123, 50456, 50629, 50459, 50627, 57530, 50417, 50627, 50418, 50951, 51775, 50916, 68120, 50900, 57410, 50629, 50423, 50627, 50428, 50968, 66942, 50627, 50430, 50931, 51242, 50871, 51806, 50900, 67278, 70550, 50629, 50435, 50627, 50436, 50902, 53913, 50627, 50441, 50627, 50442, 50916, 51380, 50900, 61087, 63348, 51562, 50444, 50628, 50447, 50627, 50450, 50627, 50453, 50627, 50454, 50916, 51199, 50455, 65735, 50900, 56109, 50628, 50459, 50627, 50460, 50968, 51242, 57530, 50417, 50627, 50419, 50902, 52188, 50899, 51380, 51026, 59783, 60726, 50629, 50423, 50627, 50426, 50627, 50428, 50973, 51365, 50429, 50627, 50431, 50876, 53010, 50900, 51576, 50899, 51709, 51026, 67995, 50627, 50435, 50629, 50437, 50877, 67458, 50627, 50441, 50627, 50443, 50861, 55778, 51086, 51738, 51026, 55036, 50306, 52397, 50444, 50627, 50447, 50629, 50449, 50861, 52946, 50450, 50627, 50452, 50877, 52167, 50453, 50627, 50455, 51086, 54344, 50871, 54344, 50861, 61887, 51026, 56123, 50456, 50627, 50459, 50629, 50461, 50861, 53313, 57530, 50417, 50627, 50419, 50951, 53186, 50304, 60667, 50308, 56123, 50420, 50627, 50423, 50629, 50425, 50968, 68544, 50627, 50429, 50627, 50431, 50931, 57800, 50309, 61887, 50861, 61887, 50900, 56869, 50432, 50627, 50434, 50951, 52192, 50435, 50629, 50437, 50931, 69406, 50627, 50441, 50627, 50902, 51365, 50443, 50916, 68886, 50861, 61887, 50900, 58556, 50316, 53280, 50444, 50627, 50447, 50629, 50450, 50627, 50453, 50627, 50456, 50627, 50916, 68886, 50861, 68886, 50900, 56869, 50459, 50629, 50461, 50968, 53010, 57530, 50417, 50627, 50420, 50627, 50902, 51123, 50899, 68886, 50861, 68886, 51026, 53838, 50423, 50627, 50968, 55124, 50629, 50902, 70545, 50627, 50973, 55011, 50876, 53693, 50304, 55765, 50899, 55765, 51026, 58556, 50310, 53838, 50435, 50627, 50438, 50629, 50877, 51432, 50441, 50627, 50444, 50627, 51086, 55765, 50899, 55765, 51026, 50361, 50831, 50311, 51490, 50447, 50627, 50450, 50629, 50453, 50627, 50456, 51086, 55765, 51026, 55036, 50309, 52397, 57333, 50417, 50627, 50420, 50627, 50951, 51400, 50916, 68120, 50900, 51330, 50423, 50627, 50426, 50629, 50429, 50627, 50430, 50968, 61957, 50627, 50931, 51194, 50871, 51380, 50900, 67278, 51330, 50435, 50627, 50438, 50628, 50902, 70140, 50627, 50444, 50627, 50916, 51199, 65735, 50900, 58327, 51562, 50447, 50627, 50450, 50629, 50453, 50627, 50456, 50627, 50457, 50916, 52056, 50900, 71562, 51333, 50459, 50627, 57289, 51177, 50417, 50629, 50420, 50627, 50421, 50902, 51576, 50899, 51709, 51026, 63821, 51108, 50423, 50627, 50426, 50627, 50429, 50629, 50430, 50973, 66591, 50627, 50433, 50876, 53161, 50900, 51709, 50899, 51709, 51026, 51108, 50435, 50627, 50438, 50627, 78201, 53010, 50441, 50629, 50444, 50627, 50445, 50861, 53186, 50299, 54590, 50303, 54590, 50306, 80189, 50627, 50451, 50861, 51862, 50453, 50629, 50454, 50877, 52179, 50456, 50627, 50457, 51086, 53697, 50861, 55574, 51026, 54590, 50309, 52025, 50459, 50627, 57530, 74354, 51737, 50417, 50629, 50420, 50627, 50421, 50951, 53010, 50916, 72057, 50900, 53838, 50423, 50627, 50426, 50627, 50428, 50968, 51737, 50429, 50629, 50432, 50627, 50433, 50931, 63684, 50309, 61887, 50861, 61887, 50900, 56123, 50436, 50951, 75594, 50627, 50440, 50931, 51862, 50441, 50629, 50443, 50902, 51862, 50444, 50627, 50445, 50916, 55765, 50861, 55765, 50900, 50361, 50831, 50316, 53577, 50447, 50627, 50450, 50627, 50453, 50627, 50456, 50629, 50458, 50916, 69895, 50861, 72057, 50900, 53838, 50459, 50627, 51809, 50968 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 10, 13305, 8, 6755, 12547, 6, 11509, 12049, 9, 657, 8, 11098, 4, 8504, 11, 5, 762, 9, 163, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 1769, 20889, 9, 9680, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 274, 10431, 6, 381, 6, 8, 163, 35315, 5705, 1328, 42, 2214, 9, 7212, 5933, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 59758, 52961, 50956, 50805, 57497, 51264, 51040, 52864, 50956, 52483, 50916, 52605, 50973, 55480, 51040, 52596, 50916, 52961, 50973, 50889, 58066, 63560, 50989, 55112, 50956, 55480, 51086, 52596, 50973, 52961, 51086, 50805, 55547, 51538, 50916, 52864, 51027, 52483, 51040, 52605, 50973, 55480, 51086, 52596, 51315, 53363, 50965, 51077, 55746, 50965, 52605, 50877, 52446, 50965, 52815, 50989, 52596, 50916, 52961, 50956, 50805, 57497, 51264, 51040, 52864, 50956, 52483, 50916, 52605, 50973, 55480, 51040, 52596, 50916, 52961, 50973, 50889, 58066, 63560, 50989, 55112, 50956, 55480, 51086, 52596, 50956, 52961, 50916, 50805, 55547, 51538, 50916, 52864, 51086, 52483, 51040, 52605, 50965, 55480, 51086, 52596, 51841, 53363, 51086, 51077, 50916, 51077, 50965, 51077, 55746, 50973, 52605, 50877, 52446, 50965, 52815, 50989, 52596, 50916, 52961, 50956, 50805, 57497, 51264, 51040, 50805, 51905, 51264, 58097, 52483, 50916, 52605, 50973, 55480, 51040, 52596, 50916, 52961, 50973, 50889, 58066, 51264, 51558, 63560, 50989, 55112, 50956, 55480, 51086, 52596, 50973, 52961, 51086, 50805, 55547, 51538, 50916, 50805, 51284, 51538, 56945, 52483, 51040, 52605, 50973, 55480, 51086, 52596, 51315, 53363, 50965, 51077, 51266, 53363, 55746, 50965, 52605, 50877, 52446, 50965, 52815, 50989, 52596, 50916, 52961, 50956, 50805, 57497, 51264, 51040, 50805, 51905, 51264, 58097, 52483, 50916, 52605, 50973, 55480, 51040, 52596, 50916, 52961, 50973, 50889, 58066, 51264, 51558, 63560, 50989, 55112, 50956, 55480, 51086, 52596, 50956, 52961, 50916, 50805, 55547, 51538, 50916, 50805, 51284, 51538, 56945, 52483, 51040, 52605, 51027, 51141, 51040, 51141, 50916, 64712, 51841, 53363, 51176, 53363, 51086, 53363, 50916, 53363, 51301, 53363, 51266, 53363, 50796, 57497, 51538, 50916, 51141, 50965, 51141, 51028, 51141, 64185, 51141, 50965, 51141, 51028, 64712, 51360, 71734, 52961, 50956, 51141, 50989, 51141, 51028, 51141, 58066, 78907, 50973, 52605, 50956, 68036, 66154, 55480, 50956, 51141, 50989, 51141, 50973, 64712, 51324, 50889, 55547, 51538, 50877, 62036, 61552, 52864, 50968, 55112, 50877, 71734, 66950, 55480, 51147, 52596, 51315, 53363, 50973, 51538, 50968, 51538, 51147, 51538, 61627, 50965, 51077, 50973, 51077, 50968, 51077, 57497, 51538, 50965, 62036, 77438, 52864, 51114, 55112, 50965, 51141, 51028, 51141, 51114, 64712, 51360, 51608, 50322, 52961, 50973, 65439, 51608, 50322, 50889, 58066, 51538, 67855, 55112, 50973, 51141, 50968, 64712, 51324, 71734, 50889, 55547, 51538, 50877, 71734, 66950, 54243, 50968, 52605, 50877, 71734, 66950, 55480, 50968, 52596, 51315, 53363, 50965, 51264, 50973, 51264, 50968, 51264, 76501, 51028, 52961, 51001, 50805, 57497, 51538, 51028, 66950, 51608, 50327, 54243, 51114, 52605, 51028, 51141, 51114, 64712, 51360, 51608, 50322, 52961, 50973, 51141, 51001, 51141, 51147, 51077, 58066, 51538, 50432, 50973, 77438, 52446, 50973, 51077, 50968, 66336, 51324, 50889, 55547, 51538, 50877, 62036, 61552, 52864, 50968, 55112, 50877, 71734, 66950, 55480, 50968, 52596, 51315, 53363, 50965, 51538, 50973, 51538, 50968, 51538, 61627, 50965, 51141, 50973, 51141, 50968, 51141, 50456, 50973, 50805, 57497, 51538, 50965, 71734, 51608, 50322, 54243, 51114, 52605, 50965, 51141, 51028, 51141, 51114, 64712, 51360, 51608, 50322, 52961, 50973, 65439, 51608, 50322, 50889, 58066, 51538, 67855, 55112, 50973, 66950, 55480, 50973, 51141, 50968, 64712, 51324, 50889, 55547, 51538, 51028, 66950, 78599, 54243, 50999, 52605, 51028, 66950, 78599, 55480, 51147, 52596, 51315, 51538, 51147, 52961, 51114, 50805, 57190, 66154, 66950, 55112, 50968, 52446, 51315, 51077, 50968, 51608, 50324, 51608, 50327, 55082, 51147, 50805, 51301, 52961, 51028, 51077, 50968, 51077, 51147, 51077, 51426, 50805, 57497, 51538, 51794, 52864, 51426, 52483, 51301, 52605, 50965, 51623, 51028, 51623, 50968, 51623, 51357, 55480, 51794, 52596, 51360, 50889, 51301, 52961, 51357, 50889, 58066, 51538, 50956, 51538, 50989, 51538, 50973, 51538, 50420, 51491, 55112, 51426, 55480, 52065, 52596, 51324, 50889, 51357, 52961, 50968, 50805, 52065, 50805, 55547, 51538, 51028, 51141, 50968, 51141, 50999, 51141, 51301, 52864, 51883, 52483, 51794, 52605, 51028, 66950, 51608, 50324, 50889, 51357, 55480, 51114, 50805, 52065, 52596, 51315, 51538, 50965, 51141, 50973, 51141, 51114, 51141, 51375, 51077, 52591, 50965, 51141, 50973, 51141, 50968, 74978, 51375, 52605, 51113, 52446, 51315, 51077, 50968, 51608, 50324, 51608, 50327, 50889, 51375, 52815, 51491, 52596, 51147, 50805, 51301, 52961, 51028, 51077, 50968, 51077, 51147, 51077, 51426, 50805, 57497, 51538, 51794, 52864, 51426, 52483, 51301, 52605, 50965, 51623, 51028, 51623, 50968, 51623, 51357, 55480, 51794, 52596, 51360, 50889, 51301, 52961, 51357, 50889, 58066, 51538, 50956, 51538, 50989, 51538, 50973, 51538, 50420, 51491, 55112, 51426, 55480, 52065, 52596, 51324, 50889, 51426, 52961, 50973, 50805, 51301, 50805, 55547, 51538, 50877, 71734, 66950, 50889, 51301, 52864, 52065, 52483, 50968, 50805, 51794, 52605, 50877, 71734, 66950, 50889, 51375, 55480, 50968, 50805, 52065, 52596, 51315, 53363, 50965, 51264, 50973, 51264, 50968, 51264, 52065, 51077, 51301, 51077, 51375, 51077, 76501, 51028, 52961, 51001, 50805, 57497, 51538, 50916, 51141, 50965, 51141, 51028, 51141, 51905, 51264, 64185, 51141, 50965, 51141, 51028, 52446, 51028, 55082, 51360, 71734, 52961, 50956, 51141, 50989, 51141, 51028, 51141, 58066, 51538, 51558, 51264, 50426, 50973, 52605, 50956, 68036, 66154, 52446, 50973, 52815, 50956, 51141, 50989, 51141, 50973, 64712, 51324, 50889, 55547, 51538, 50877, 62036, 61552, 50805, 51284, 51538, 67855, 55112, 50877, 71734, 66950, 55480, 51147, 52596, 51315, 53363, 50973, 51538, 50968, 51538, 51147, 51538, 51266, 53363, 61627, 50965, 51077, 50973, 51077, 50968, 51077, 57497, 51538, 50965, 62036, 77438, 50805, 51905, 63560, 51114, 55112, 50965, 51141, 51028, 51141, 51114, 64712, 51360, 51608, 50322, 52961, 50973, 65439, 51608, 50322, 50889, 58066, 51538, 51558, 63560, 50968, 55112, 50973, 51141, 50968, 64712, 51324, 71734, 50889, 55547, 51538, 50877, 71734, 78599, 50889, 51284, 78907, 50999, 52605, 50877, 71734, 78599, 55480, 51147, 52596, 51315, 53363, 50965, 51264, 50973, 51264, 51147, 51264, 51266, 53363, 66243, 51028, 52446, 51220, 55082, 51028, 50805, 51220, 52961, 51001, 50805, 51220, 51141, 57497, 51538, 51028, 66950, 50889, 51905, 51264, 50426, 51114, 52605, 51028, 51141, 51114, 64712, 51360, 51608, 50322, 52961, 50973, 51141, 51001, 51141, 51114, 51077, 58066, 51538, 51558, 51264, 50432, 50973, 77438, 52446, 50973, 51141, 50968, 66336, 51324, 55069, 50973, 50805, 55547, 51538, 50877, 62036, 61552, 50805, 51284, 51538, 67855, 55112, 50877, 71734, 66950, 55480, 50968, 52596, 51315, 53363, 50965, 51538, 50973, 51538, 50968, 51538, 51266, 53363, 61627, 50965, 51141, 50973, 51141, 50968, 51141, 50456, 50973, 50805, 57497, 51538, 50965, 71734, 51608, 50322, 50889, 51905, 51264, 50426, 51114, 52605, 50965, 51141, 51028, 51141, 51114, 64712, 51360, 51608, 50322, 52961, 50973, 65439, 51608, 50322, 50889, 58066, 51538, 51558, 63560, 50968, 55112, 50973, 66950, 55480, 50973, 51141, 50968, 64712, 51324, 50889, 55547, 51538, 51028, 66950, 78599, 50889, 51284, 78907, 50999, 52605, 51028, 66950, 78599 ]