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0 [2, 2, 1, 1, 8, 4, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 3, 1, 2, 3, 1, 2, 2, 1, 1, 3, 4, 1, 1, 1, 1, 2, 2, 2, 3, 1, 2, 1, 1, 2, 1, 1, 1, 2, 5, 2, 1, 2, 2, 1, 1, 2, 4, 3, 2, 1, 3, 2, 1, 2, 1, 2, 4, 1, 1, 4, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 2, 1, 2, 3, 6, 1, 1, 3, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 2, 1, 2, 2, 4, 1, 1, 1, 2, 3, 3, 2, 2, 2, 5, 1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 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1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
6 [1, 1, 1, 1, 1, 3, 1, 2, 1, 2, 3, 6, 1, 1, 3, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 2, 1, 2, 2, 4, 1, 1, 1, 2, 3, 3, 2, 2, 2, 5, 1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 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3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 2, 2, 1, 2, 3, 6, 1, 1, 3, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 2, 1, 2, 2, 4, 1, 1, 1, 2, 3, 3, 2, 2, 2, 5, 1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 3, 1, 2, 3, 6, 1, 1, 3, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 2, 1, 2, 2, 4, 1, 1, 1, 2, 3, 3, 2, 2, 2, 5, 1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 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3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 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3 [1, 1, 2, 2, 3, 6, 1, 1, 3, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 2, 1, 2, 2, 4, 1, 1, 1, 2, 3, 3, 2, 2, 2, 5, 1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 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1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 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1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
6 [1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 1, 1, 1, 2, 1, 2, 2, 4, 1, 1, 1, 2, 3, 3, 2, 2, 2, 5, 1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 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1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 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1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 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1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 3, 1, 1, 2, 3, 1, 1, 1, 2, 1, 2, 2, 4, 1, 1, 1, 2, 3, 3, 2, 2, 2, 5, 1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 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3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 2, 1, 2, 3, 1, 1, 1, 2, 1, 2, 2, 4, 1, 1, 1, 2, 3, 3, 2, 2, 2, 5, 1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 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7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 2, 3, 1, 1, 1, 2, 1, 2, 2, 4, 1, 1, 1, 2, 3, 3, 2, 2, 2, 5, 1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 3, 3, 1, 1, 1, 2, 1, 2, 2, 4, 1, 1, 1, 2, 3, 3, 2, 2, 2, 5, 1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 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1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 2, 2, 4, 1, 1, 1, 2, 3, 3, 2, 2, 2, 5, 1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 3, 2, 4, 1, 1, 1, 2, 3, 3, 2, 2, 2, 5, 1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 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0 [1, 1, 1, 2, 3, 3, 2, 2, 2, 5, 1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 4, 3, 2, 2, 2, 5, 1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 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2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 2, 5, 1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 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1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 5, 1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 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0 [1, 1, 1, 2, 6, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 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1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 7, 3, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 4, 2, 2, 1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 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0 [1, 2, 2, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 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4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 4, 5, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 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1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 2, 3, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 4, 1, 1, 1, 5, 3, 3, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 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1 [4, 4, 1, 3, 8, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 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1 [9, 3, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 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1 [2, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 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4 [1, 1, 1, 3, 3, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 4, 5, 2, 2, 1, 2, 1, 2, 4, 3, 1, 4, 3, 1, 2, 1, 1, 4, 3, 3, 4, 3, 1, 1, 1, 1, 8, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 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1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 2, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 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4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 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1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 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1, 3]
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2 [1, 2, 2, 5, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 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1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 6, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 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3 [1, 1, 4, 1, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 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1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 2, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 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2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 1, 1, 1, 1, 6, 3, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 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2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 4, 2, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 3, 4, 4, 2, 3, 3, 1, 2, 2, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 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2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 1, 3, 5, 2, 4, 1, 1, 5, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 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0 [1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 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1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 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5 [1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 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1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 1, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 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0 [1, 4, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 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1 [5, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 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0 [2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 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0 [2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 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2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 3, 1, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 2, 1, 5, 1, 3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 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0 [3, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 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1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
6 [1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 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3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 6, 1, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 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3 [1, 1, 2, 1, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 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1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 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1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 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2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 5, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 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1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 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0 [2, 1, 4, 1, 1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 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0 [1, 1, 6, 1, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 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1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 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1 [2, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 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3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 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0 [2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 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0 [1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 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2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [6, 2, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 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0 [1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 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2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 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2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 3, 1, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 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3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 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1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 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1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 5, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 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0 [1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 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1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 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1 [3, 2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 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1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 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1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 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0 [1, 3, 2, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 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1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 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1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 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0 [1, 1, 3, 3, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 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2 [1, 4, 4, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 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2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 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2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [5, 2, 1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 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0 [1, 1, 6, 3, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 4, 3, 2, 1, 3, 3, 1, 2, 10, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 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1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [11, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 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5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 3, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 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0 [1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 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1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 2, 1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 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0 [1, 4, 1, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 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3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 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3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 2, 1, 5, 1, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 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7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 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2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 3, 4, 1, 1, 5, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 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4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 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1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 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3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 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0 [3, 3, 2, 2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 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2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 2, 1, 2, 3, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 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1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [4, 1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 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0 [1, 7, 1, 1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 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2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 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1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 3, 1, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 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1 [2, 4, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 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1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 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8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 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1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 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2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 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1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 4, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 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0 [2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 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0 [3, 1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 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0 [1, 1, 1, 1, 1, 1, 3, 1, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 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4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
6 [1, 1, 1, 1, 1, 2, 6, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 7, 5, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 6, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 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3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 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2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
7 [1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 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6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
6 [1, 1, 1, 1, 1, 4, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 2, 1, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 2, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 3, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 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2 [1, 2, 1, 3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 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1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 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1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 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2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 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2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 4, 1, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 1, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 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1, 1, 3]
1 [2, 2, 2, 7, 1, 6, 1, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 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3]
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1 [2, 1, 6, 2, 1, 3, 3, 1, 3, 1, 6, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 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1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
10 [1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 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1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 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9 [1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 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7 [1, 1, 1, 1, 1, 1, 3, 3, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 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1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 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6 [1, 1, 1, 1, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 5, 3, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 4, 1, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 2, 1, 2, 2, 2, 1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 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2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 6, 1, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 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2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 5, 1, 1, 1, 2, 1, 2, 2, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 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1 [3, 4, 1, 2, 6, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 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1 [7, 4, 5, 4, 1, 3, 2, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 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1 [3, 2, 4, 2, 2, 2, 5, 2, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 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7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 3, 2, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 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6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 3, 1, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 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1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 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3 [1, 1, 2, 1, 2, 1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 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0 [1, 5, 2, 1, 2, 3, 4, 6, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 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3 [1, 1, 2, 4, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 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1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 5, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 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1 [2, 3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 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0 [3, 3, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 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0 [1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 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1 [2, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 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0 [3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 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1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 3, 1, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 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3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 2, 3, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 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2 [1, 2, 1, 2, 5, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 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0 [1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 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1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 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3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 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6 [1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 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1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 2, 2, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 3, 2, 1, 1, 3, 5, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 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3 [1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 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2 [1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 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6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 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5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
6 [1, 1, 1, 1, 1, 2, 1, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 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5 [1, 1, 1, 1, 2, 5, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 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3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 6, 3, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 4, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 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1 [2, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 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0 [3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 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0 [2, 1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 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0 [1, 4, 3, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 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0 [1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 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2 [1, 2, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 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1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [4, 3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 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1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 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0 [3, 1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 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0 [1, 1, 1, 3, 2, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 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3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 3, 2, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 3, 2, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 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1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 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1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 7, 1, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 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2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 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2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 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1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [6, 7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 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3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [7, 2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 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0 [2, 2, 2, 1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 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0 [1, 2, 2, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 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2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 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5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 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1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 2, 8, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [9, 1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 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1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 5, 2, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 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3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 3, 1, 2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 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1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 1, 6, 2, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 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2 [1, 3, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 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1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 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1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 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1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 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1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
6 [1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 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1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 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2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 3, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 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5 [1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 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1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 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1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 3, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 4, 3, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 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1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 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3 [1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 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2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 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1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 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1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 2, 2, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 3, 2, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 3, 2, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 6, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 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0 [1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 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2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 1, 7, 2, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 3, 1, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 2, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 3, 2, 1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 5, 1, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 2, 2, 4, 1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 1, 1, 1, 5, 5, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 6, 8, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 9, 1, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 2, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 3, 1, 1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 2, 5, 3, 4, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 3, 6, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 7, 1, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 6, 7, 3, 1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 2, 1, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 4, 6, 3, 2, 3, 3, 2, 1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 3, 2, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 3, 5, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 3, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 4, 1, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 4, 2, 3, 1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 2, 1, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 3, 1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 3, 1, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 6, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 1, 2, 1, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 5, 2, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 6, 1, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 3, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [4, 5, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
6 [1, 1, 1, 1, 1, 3, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 3, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 2, 2, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 4, 2, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 4, 4, 1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 2, 3, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [4, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [4, 3, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 2, 1, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 1, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 2, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 5, 2, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 4, 1, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 3, 7, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 3, 1, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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1 [4, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 6, 1, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 6, 3, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [4, 1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 2, 4, 5, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 2, 2, 1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 1, 4, 1, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 3, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [4, 2, 1, 5, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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1 [3, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 4, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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2 [1, 2, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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1 [2, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 9, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 2, 1, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 1, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 6, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [7, 1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 2, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 4, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [5, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 2, 1, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 2, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 3, 3, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [4, 1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 3, 2, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 3, 2, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 3, 5, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [6, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 4, 1, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 1, 8, 1, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 2, 1, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 1, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 2, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 6, 2, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 2, 4, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [5, 3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 5, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [4, 2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 4, 2, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [4, 2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 2, 1, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 3, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 4, 5, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [6, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 3, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 3, 3, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [4, 2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 3, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 3, 1, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 1, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 3, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [4, 3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [7, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 2, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 2, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 2, 3, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [4, 1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 1, 2, 5, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 6, 4, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 5, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 3, 1, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 3, 1, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 7, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 3, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
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0 [2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 4, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 4, 2, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 3, 1, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 1, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 2, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 3, 5, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [6, 2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [5, 1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 2, 1, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 7, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [8, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
6 [1, 1, 1, 1, 1, 3, 1, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 2, 5, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 6, 1, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 4, 2, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 5, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 4, 1, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 2, 2, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 3, 2, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 3, 3, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [4, 5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [5, 2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [5, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 4, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [3, 1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
5 [1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
4 [1, 1, 1, 5, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 3, 1, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 5, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 3, 2, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [3, 1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 1, 5, 1, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
3 [1, 1, 2, 4, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 5, 1, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 2, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [4, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
2 [1, 2, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
1 [2, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]
0 [2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 2, 4, 6, 1, 1, 2, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 6, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 5, 2, 1, 3, 1, 2, 7, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 3, 2, 3, 2, 5, 4, 1, 6, 1, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 2, 2, 6, 2, 1, 7, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 5, 4, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 1, 6, 1, 3, 5, 1, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 6, 1, 1, 2, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 1, 4, 1, 7, 1, 2, 5, 3, 1, 2, 1, 2, 2, 3, 6, 1, 4, 8, 1, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 2, 3, 3, 1, 1, 2, 8, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 4, 1, 1, 1, 5, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 4, 2, 2, 1, 1, 1, 8, 3, 1, 4, 1, 1, 1, 5, 1, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 2, 8, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 2, 3, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 2, 6, 1, 1, 6, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 3, 5, 3, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 3, 1, 5, 6, 4, 2, 1, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 1, 1, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 1, 6, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 5, 2, 2, 1, 6, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 6, 2, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 6, 3, 2, 1, 1, 1, 6, 2, 1, 1, 5, 1, 1, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 5, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 1, 4, 6, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 3, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 6, 1, 3, 3, 2, 1, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 1, 8, 1, 4, 1, 1, 2, 1, 2, 2, 5, 2, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 3, 5, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3]