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10, 2, 1, 2, 6, 1, 4, 6, 10, 2, 10, 2, 4, 10, 6, 2, 10, 2, 2, 2, 6, 2, 1, 1, 6, 6, 1, 10, 10, 6, 10, 1, 6, 1, 9, 10, 10, 6, 2, 1, 6, 10, 1, 6, 1, 1, 10, 1, 10, 2, 10, 10, 6, 2, 1, 6, 2, 1, 10, 1, 10, 6, 1, 2, 1, 6, 1, 10, 6, 2, 1, 10, 1, 1, 2, 1, 2, 6, 1, 10, 1, 6, 6, 2, 9, 10, 10, 10, 1, 10, 2, 2, 6, 10, 2, 6, 6, 6, 10, 2, 2, 6, 1, 6, 1, 10, 1, 2, 0, 6, 1, 2, 2, 1, 2, 6, 6, 6, 1, 6, 1, 1, 10, 2, 6, 10, 2, 2, 0, 1, 10, 1, 6, 1, 1, 10, 2, 10, 6, 6, 1, 10, 6, 6, 10, 6, 2, 1, 6, 2, 6, 1, 10, 6, 6, 10, 2, 1, 10, 6, 2, 2, 2, 1, 1, 2, 2, 10, 10, 6, 6, 2, 6, 6, 10, 10, 6, 0, 10, 2, 2, 1, 1, 2, 2, 9, 2, 2, 6, 1, 6, 2, 5, 5, 10, 1, 10, 6, 10, 1, 2, 6, 1, 2, 1, 6, 10, 6, 10, 6, 1, 1, 2, 10, 1, 10, 2, 6, 1, 6, 5, 10, 1, 6, 2, 1, 9, 1, 1, 10, 1, 1, 2, 6, 6, 6, 10, 6, 1, 6, 0, 6, 10, 6, 10, 6, 10, 10, 2, 10, 2, 2, 2, 6, 5, 1, 1, 6, 6, 6, 6, 2, 1, 1, 10, 1, 10, 10, 6, 2, 10, 2, 6, 10, 2, 10, 6, 6, 2, 2, 10, 1, 10, 10, 10, 10, 1, 10, 6, 6, 1, 1, 10, 1, 1, 1, 1, 10, 1, 1, 2, 6, 6, 6, 6, 10, 2, 2, 6, 10, 10, 2, 10, 6, 10, 10, 10, 2, 1, 2, 6, 6, 1, 1, 6, 6, 2, 2, 1, 10, 9, 10, 6, 6, 10, 6, 2, 10, 10, 6, 10, 6, 1, 10, 1, 2, 10, 10, 2, 1, 2, 10, 2, 6, 1, 2, 2, 2, 10, 1, 1, 1, 10, 1, 10, 10, 2, 2, 2, 1, 10, 1, 2, 10, 1, 6, 1, 6, 10, 2, 2, 10, 1, 2, 10, 6, 2, 6, 2, 10, 0, 6, 6, 10, 6, 1, 2, 2, 6, 1, 2, 6, 2, 2, 2, 9, 1, 6, 10, 2, 0, 1, 1, 6, 10, 10, 6, 6, 10, 6, 6, 6, 1, 9, 10, 1, 8, 6, 10, 2, 1, 1, 6, 2, 2, 6, 1, 2, 2, 2, 10, 1, 2, 2, 1, 6, 2, 1, 4, 10, 1, 6, 1, 1, 2, 1, 4, 1, 1, 1, 6, 6, 10, 1, 1, 2, 2, 6, 10, 1, 2, 6, 0, 10, 1, 1, 6, 2, 2, 1, 6, 6, 1, 1, 10, 6, 6, 2, 10, 6, 10, 6, 1, 6, 1, 2, 6, 2, 2, 10, 2, 2, 0, 6, 6, 6, 6, 6, 1, 10, 10, 1, 1, 1, 2, 6, 1, 10, 10, 1, 10, 10, 10, 1, 10, 10, 1, 10, 1, 1, 6, 6, 6, 6, 1, 1, 6, 10, 6, 2, 1, 2, 6, 10, 2, 6, 1, 10, 6, 10, 6, 2, 9, 2, 10, 2, 6, 2, 10, 2, 2, 2, 2, 10, 2, 6, 2, 1, 1, 1, 2, 6, 10, 2, 2, 6, 2, 6, 1, 2, 6, 10, 1, 9, 10, 1, 6, 10, 10, 10, 4, 1, 10, 1, 2, 1, 2, 2, 1, 6, 6, 10, 2, 2, 10, 6, 2, 1, 1, 2, 4, 2, 10, 1, 6, 2, 6, 6, 1, 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1, 6, 10, 10, 2, 10, 6, 6, 6, 2, 1, 6, 2, 2, 1, 1, 1, 6, 6, 6, 10, 10, 5, 10, 2, 6, 6, 6, 1, 6, 1, 2, 1, 10, 6, 1, 10, 1, 10, 10, 2, 6, 10, 2, 1, 2, 2, 10, 6, 6, 2, 10, 2, 2, 10, 10, 5, 1, 1, 2, 6, 10, 6, 10, 6, 2, 2, 6, 2, 2, 10, 6, 2, 1, 10, 2, 5, 6, 1, 10, 2, 2, 10, 1, 1, 6, 2, 6, 10, 2, 2, 6, 6, 6, 1, 2, 1, 2, 1, 6, 6, 10, 1, 9, 1, 2, 10, 6, 2, 10, 10, 6, 5, 1, 10, 1, 2, 6, 6, 6, 2, 2, 10, 1, 1, 1, 10, 2, 1, 10, 6, 2, 6, 10, 1, 1, 1, 6, 10, 1, 2, 2, 6, 5, 1, 10, 1, 6, 1, 1, 2, 10, 10, 6, 10, 6, 2, 6, 2, 10, 10, 1, 10, 6, 6, 1, 2, 10, 10, 10, 10, 1, 9, 10, 10, 1, 1, 6, 10, 10, 0, 1, 6, 2, 1, 10, 2, 1, 2, 2, 6, 10, 4, 2, 1, 10, 10, 2, 6, 5, 10, 2, 10, 6, 0, 2, 4, 2, 1, 10, 10, 6, 10, 10, 10, 10, 2, 10, 1, 10, 10, 0, 6, 9, 2, 6, 4, 10, 1, 10, 6, 6, 2, 2, 6, 10, 1, 2, 1, 0, 10, 2, 2, 2, 5, 2, 10, 6, 2, 2, 2, 10, 6, 1, 1, 1, 1, 10, 2, 2, 10, 1, 2, 2, 10, 1, 2, 10, 1, 1, 1, 1, 6, 6, 10, 1, 1, 2, 1, 4, 2, 1, 10, 6, 6, 1, 6, 1, 6, 2, 10, 10, 6, 10, 1, 10, 1, 10, 10, 1, 6, 10, 1, 6, 10, 6, 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10, 6, 2, 1, 1, 10, 1, 2, 6, 6, 2, 6, 6, 2, 2, 1, 10, 10, 1, 6, 1, 1, 10, 6, 2, 10, 10, 6, 2, 2, 2, 2, 10, 2, 2, 4, 1, 6, 6, 1, 2, 1, 6, 1, 6, 10, 2, 10, 1, 2, 2, 6, 10, 10, 1, 1, 10, 6, 6, 6, 9, 1, 1, 6, 10, 10, 2, 2, 1, 10, 1, 1, 10, 1, 2, 1, 6, 10, 10, 10, 10, 6, 1, 2, 6, 6, 6, 2, 6, 10, 10, 1, 10, 1, 10, 2, 6, 6, 6, 2, 1, 6, 10, 2, 2, 1, 10, 10, 6, 10, 10, 10, 10, 1, 6, 1, 1, 2, 2, 1, 2, 2, 1, 10, 10, 2, 2, 0, 1, 1, 2, 1, 6, 2, 1, 6, 6, 2, 1, 1, 1, 6, 1, 10, 1, 10, 10, 6, 10, 6, 2, 1, 1, 1, 10, 2, 6, 2, 10, 2, 10, 1, 2, 2, 6, 1, 6, 6, 6, 6, 2, 10, 10, 6, 6, 10, 6, 6, 6, 6, 1, 1, 6, 10, 1, 6, 2, 1, 6, 6, 2, 6, 2, 1, 2, 10, 1, 1, 1, 1, 2, 2, 1, 6, 6, 6, 1, 10, 6, 2, 10, 2, 2, 10, 6, 6, 1, 1, 10, 10, 6, 10, 2, 1, 6, 1, 10, 1, 2, 10, 10, 2, 10, 10, 1, 2, 6, 6, 2, 2, 2, 1, 2, 10, 10, 6, 2, 1, 6, 6, 2, 6, 10, 2, 1, 2, 10, 10, 1, 10, 10, 10, 6, 6, 6, 10, 1, 6, 6, 1, 2, 6, 1, 6, 2, 10, 2, 1, 6, 1, 6, 10, 6, 1, 10, 6, 10, 10, 6, 10, 10, 6, 6, 1, 2, 1, 1, 1, 6, 2, 10, 1, 10, 6, 1, 2, 6, 10, 2, 6, 2, 1, 1, 1, 2, 1, 2, 10, 6, 1, 6, 1, 2, 2, 10, 1, 10, 2, 6, 2, 1, 2, 2, 1, 6, 1, 10, 6, 6, 6, 2, 1, 2, 2, 9, 1, 1, 2, 6, 6, 60, 6, 10, 6, 1, 6, 1, 1, 2, 10, 1, 6, 2, 2, 2, 1, 2, 10, 4, 1, 1, 2, 1, 10, 2, 1, 10, 1, 2, 6, 1, 1, 2, 1, 6, 6, 10, 2, 6, 10, 5, 10, 1, 1, 6, 2, 10, 2, 1, 1, 10, 6, 10, 2, 2, 1, 6, 10, 1, 10, 1, 10, 6, 1, 1, 1, 2, 1, 2, 2, 2, 6, 2, 10, 1, 1, 2, 1, 10, 1, 2, 6, 5, 6, 10, 2, 1, 10, 6, 6, 6, 1, 6, 1, 2, 2, 1, 2, 6, 2, 1, 10, 6, 2, 6, 2, 1, 10, 6, 1, 2, 1, 6, 2, 6, 1, 10, 2, 10, 2, 1, 6, 10, 6, 10, 2, 1, 10, 2, 2, 1, 2, 6, 2, 6, 4, 6, 6, 6, 10, 6, 1, 6, 2, 2, 2, 10, 10, 2, 1, 6, 1, 6, 6, 2, 1, 1, 1, 1, 10, 1, 6, 1, 6, 10, 2, 10, 6, 6, 10, 6, 10, 2, 10, 1, 2, 1, 10, 1, 10, 10, 0, 6, 10, 1, 6, 6, 6, 1, 1, 1, 6, 1, 2, 2, 10, 2, 10, 1, 2, 6, 2, 10, 6, 2, 1, 1, 2, 6, 2, 2, 2, 10, 6, 2, 2, 10, 2, 6, 2, 0, 2, 2, 2, 2, 6, 1, 2, 1, 1, 10, 1, 1, 1, 10, 5, 1, 6, 10, 6, 6, 1, 6, 6, 10, 10, 2, 2, 10, 1, 2, 10, 6, 10, 6, 10, 2, 6, 6, 6, 2, 6, 9, 2, 2, 2, 6, 1, 1, 6, 6, 6, 1, 6, 1, 6, 10, 10, 2, 1, 10, 10, 2, 10, 10, 10, 2, 1, 2, 6, 1, 6, 6, 10, 6, 1, 10, 10, 10, 1, 1, 2, 6, 6, 10, 1, 1, 10, 10, 1, 6, 10, 2, 1, 1, 10, 6, 2, 10, 6, 2, 10, 10, 10, 6, 6, 6, 2, 10, 1, 2, 2, 1, 10, 6, 6, 10, 10, 10, 6, 1, 6, 1, 50, 2, 6, 2, 1, 2, 6, 10, 6, 2, 2, 9, 10, 6, 2, 10, 1, 1, 10, 10, 2, 1, 2, 6, 1, 1, 2, 10, 10, 2, 2, 6, 6, 1, 10, 2, 6, 6, 6, 6, 10, 10, 2, 1, 2, 2, 1, 10, 2, 10, 1, 6, 2, 2, 2, 2, 2, 6, 2, 10, 2, 2, 2, 6, 2, 1, 6, 2, 2, 10, 10, 2, 10, 10, 6, 10, 6, 6, 1, 10, 2, 10, 1, 1, 2, 10, 2, 2, 10, 10, 6, 6, 10, 10, 10, 1, 6, 50, 1, 1, 1, 4, 10, 2, 10, 10, 6, 2, 2, 1, 5, 6, 2, 6, 6, 1, 6, 6, 6, 10, 6, 2, 10, 6, 1, 10, 2, 6, 2, 10, 2, 6, 6, 10, 2, 1, 1, 10, 6, 1, 6, 2, 1, 6, 10, 2, 10, 6, 1, 2, 1, 1, 10, 6, 2, 6, 2, 10, 6, 4, 2, 6, 6, 10, 2, 6, 10, 6, 1, 2, 1, 6, 4, 2, 2, 10, 2, 1, 10, 10, 6, 10, 2, 6, 2, 6, 10, 1, 6, 10, 10, 2, 1, 2, 6, 6, 2, 1, 1, 10, 1, 1, 2, 1, 6, 10, 2, 10, 1, 6, 6, 10, 10, 0, 1, 6, 2, 10, 2, 6, 1, 1, 10, 1, 10, 6, 2, 10, 1, 2, 2, 10, 10, 10, 5, 10, 10, 2, 2, 6, 1, 10, 5, 10, 1, 1, 1, 2, 6, 6, 2, 6, 6, 2, 6, 0, 6, 10, 10, 10, 1, 10, 6, 10, 10, 10, 6, 10, 2, 10, 1, 1, 1, 10, 2, 2, 2, 10, 6, 2, 4, 6, 10, 1, 2, 6, 6, 10, 1, 10, 10, 1, 6, 1, 2, 2, 10, 10, 1, 2, 2, 6, 10, 2, 10, 2, 10, 6, 6, 10, 1, 6, 2, 1, 10, 1, 1, 2, 6, 6, 6, 6, 10, 2, 2, 1, 2, 10, 1, 1, 6, 2, 1, 1, 2, 1, 6, 2, 1, 1, 9, 1, 2, 2, 6, 10, 0, 10, 1, 0, 1, 1, 2, 10, 6, 10, 10, 1, 2, 10, 6, 2, 2, 6, 1, 10, 1, 10, 1, 10, 1, 2, 1, 10, 10, 1, 2, 2, 10, 2, 2, 2, 1, 6, 10, 10, 6, 10, 10, 1, 2, 1, 0, 6, 6, 2, 10, 4, 2, 6, 2, 1, 6, 2, 10, 10, 10, 1, 6, 2, 2, 6, 1, 2, 6, 2, 2, 10, 9, 6, 6, 2, 2, 1, 6, 6, 6, 10, 10, 1, 2, 1, 2, 1, 10, 2, 5, 2, 2, 1, 10, 2, 6, 2, 6, 2, 10, 0, 2, 1, 10, 10, 1, 6, 6, 1, 1, 1, 6, 2, 1, 1, 1, 1, 10, 1, 10, 2, 6, 2, 2, 2, 2, 4, 10, 1, 1, 6, 10, 1, 10, 6, 1, 6, 1, 6, 1, 6, 10, 1, 2, 1, 2, 1, 2, 10, 6, 1, 10, 6, 2, 1, 6, 1, 4, 1, 1, 2, 0, 1, 2, 10, 1, 6, 1, 1, 1, 1, 2, 1, 6, 10, 1, 2, 6, 2, 2, 2, 1, 1, 6, 1, 4, 6, 2, 10, 1, 1, 1, 6, 2, 10, 10, 6, 6, 2, 6, 10, 10, 6, 1, 1, 10, 10, 2, 10, 1, 2, 10, 1, 2, 1, 10, 10, 1, 10, 6, 10, 9, 10, 2, 5, 1, 1, 2, 1, 1, 6, 1, 2, 1, 6, 6, 6, 2, 2, 1, 1, 10, 2, 6, 10, 2, 1, 10, 1, 10, 6, 10, 6, 1, 10, 2, 1, 10, 2, 2, 1, 6, 10, 6, 1, 6, 2, 6, 1, 10, 2, 10, 1, 10, 6, 10, 2, 6, 1, 1, 1, 2, 2, 10, 6, 6, 1, 1, 6, 1, 6, 1, 6, 2, 2, 2, 6, 1, 10, 6, 1, 1, 10, 4, 1, 6, 10, 6, 2, 2, 2, 1, 2, 2, 5, 2, 10, 1, 2, 1, 2, 10, 2, 2, 1, 1, 10, 1, 1, 10, 10, 6, 1, 1, 1, 1, 6, 1, 10, 10, 6, 10, 2, 6, 6, 1, 4, 10, 10, 2, 2, 10, 1, 10, 6, 1, 2, 6, 10, 10, 10, 9, 1, 10, 1, 6, 6, 10, 6, 1, 6, 1, 6, 6, 6, 1, 1, 6, 10, 2, 10, 1, 2, 2, 10, 10, 4, 2, 1, 2, 2, 6, 1, 10, 1, 10, 2, 1, 2, 6, 2, 10, 10, 2, 10, 10, 2, 6, 2, 6, 6, 6, 6, 1, 6, 10, 2, 10, 2, 6, 2, 10, 1, 1, 6, 10, 6, 1, 6, 6, 1, 10, 6, 2, 1, 2, 6, 6, 6, 1, 10, 2, 10, 1, 1, 10, 6, 2, 6, 2, 1, 6, 1, 1, 2, 6, 6, 6, 10, 9, 6, 1, 2, 2, 1, 1, 6, 2, 2, 10, 1, 2, 1, 6, 6, 2, 2, 2, 1, 9, 6, 6, 2, 6, 1, 1, 1, 10, 10, 2, 6, 1, 10, 6, 1, 6, 10, 2, 6, 6, 6, 1, 1, 2, 1, 9, 10, 6, 2, 10, 2, 10, 6, 1, 6, 6, 6, 10, 6, 10, 6, 2, 1, 10, 6, 10, 10, 10, 10, 1, 1, 6, 2, 1, 2, 0, 7, 1, 7, 1, 6, 6, 2, 6, 6, 1, 10, 2, 6, 2, 1, 1, 2, 6, 6, 10, 6, 1, 6, 10, 1, 4, 6, 10, 6, 2, 10, 2, 6, 1, 6, 1, 4, 1, 2, 1, 2, 2, 1, 10, 1, 10, 1, 10, 10, 2, 1, 2, 6, 8, 10, 2, 10, 6, 6, 6, 1, 1, 10, 6, 10, 1, 2, 10, 2, 10, 1, 10, 10, 6, 1, 10, 1, 2, 10, 6, 2, 1, 6, 1, 2, 40, 1, 10, 1, 10, 2, 1, 1, 1, 1, 1, 2, 10, 2, 2, 10, 6, 1, 10, 6, 6, 10, 2, 1, 6, 2, 1, 2, 1, 2, 1, 1, 10, 1, 1, 2, 10, 10, 10, 6, 10, 10, 1, 6, 2, 2, 1, 2, 1, 10, 6, 6, 6, 2, 6, 6, 4, 6, 6, 1, 2, 1, 1, 6, 6, 10, 1, 10, 10, 1, 6, 1, 2, 2, 10, 5, 1, 6, 2, 2, 1, 1, 6, 3, 2, 6, 1, 10, 6, 2, 10, 2, 6, 6, 1, 6, 10, 5, 6, 10, 1, 2, 0, 1, 6, 6, 1, 10, 10, 6, 5, 1, 6, 2, 2, 10, 10, 6, 1, 6, 10, 2, 6, 1, 1, 6, 1, 1, 6, 10, 10, 1, 10, 1, 6, 6, 10, 6, 2, 10, 6, 1, 6, 2, 6, 6, 1, 6, 2, 6, 2, 10, 2, 2, 1, 1, 1, 10, 10, 2, 6, 0, 2, 1, 2, 6, 10, 2, 10, 10, 10, 6, 1, 10, 1, 6, 6, 1, 1, 6, 10, 10, 2, 1, 10, 1, 6, 6, 60, 10, 10, 2, 10, 2, 2, 6, 1, 6, 10, 6, 2, 1, 6, 1, 6, 1, 10, 2, 10, 10, 10, 1, 6, 6, 2, 1, 2, 4, 10, 2, 1, 10, 10, 10, 6, 1, 2, 1, 6, 10, 6, 1, 6, 10, 2, 1, 6, 2, 2, 6, 1, 6, 6, 1, 6, 1, 0, 10, 10, 6, 10, 10, 10, 6, 1, 2, 2, 2, 6, 1, 10, 1, 10, 1, 6, 10, 10, 2, 10, 10, 2, 6, 6, 1, 10, 2, 6, 10, 1, 2, 2, 6, 6, 10, 10, 9, 6, 2, 1, 6, 10, 10, 2, 2, 4, 2, 2, 2, 2, 1, 10, 1, 1, 6, 1, 1, 2, 6, 10, 2, 6, 6, 6, 10, 2, 6, 1, 1, 2, 9, 1, 1, 10, 1, 2, 1, 10, 10, 10, 2, 2, 6, 1, 1, 10, 1, 6, 10, 1, 6, 10, 10, 10, 6, 2, 0, 1, 6, 10, 10, 6, 2, 2, 2, 2, 10, 2, 10, 6, 10, 1, 6, 10, 10, 2, 1, 10, 2, 10, 1, 1, 10, 2, 10, 1, 2, 10, 1, 2, 6, 1, 1, 6, 2, 1, 0, 10, 6, 10, 2, 1, 6, 2, 6, 2, 6, 2, 10, 6, 10, 1, 6, 6, 1, 10, 1, 2, 1, 1, 1, 2, 2, 2, 0, 10, 10, 10, 1, 2, 6, 2, 6, 1, 2, 1, 10, 2, 6, 6, 1, 0, 1, 10, 1, 0, 6, 10, 2, 2, 10, 6, 6, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 10, 1, 2, 10, 1, 6, 1, 6, 10, 2, 6, 10, 10, 1, 1, 10, 1, 1, 6, 1, 10, 2, 6, 6, 6, 10, 10, 2, 2, 2, 1, 1, 10, 6, 1, 10, 0, 1, 2, 10, 1, 2, 2, 1, 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10, 1, 1, 6, 1, 2, 6, 1, 1, 2, 10, 2, 10, 6, 2, 10, 2, 10, 1, 10, 6, 2, 10, 6, 6, 9, 6, 10, 2, 10, 2, 2, 2, 1, 2, 10, 1, 10, 10, 2, 6, 1, 2, 1, 6, 6, 6, 6, 1, 2, 2, 2, 6, 1, 1, 2, 2, 6, 2, 10, 10, 10, 1, 10, 1, 2, 1, 2, 10, 2, 1, 1, 10, 2, 1, 10, 2, 2, 4, 6, 2, 1, 10, 10, 1, 10, 2, 2, 1, 2, 1, 6, 2, 6, 1, 2, 6, 60, 2, 6, 2, 10, 1, 2, 2, 10, 10, 1, 6, 1, 6, 6, 6, 2, 2, 2, 2, 2, 10, 1, 6, 6, 1, 6, 10, 10, 1, 10, 10, 6, 10, 10, 10, 1, 2, 1, 1, 1, 2, 6, 10, 10, 6, 6, 4, 10, 1, 6, 2, 10, 1, 2, 6, 6, 10, 10, 10, 6, 10, 6, 10, 1, 2, 1, 2, 1, 2, 6, 6, 6, 10, 2, 6, 6, 10, 2, 1, 2, 10, 2, 1, 6, 6, 6, 6, 10, 1, 6, 1, 2, 10, 1, 10, 10, 1, 1, 10, 1, 2, 2, 2, 6, 1, 6, 6, 2, 10, 10, 6, 6, 10, 2, 10, 6, 6, 10, 10, 2, 2, 2, 10, 1, 6, 6, 6, 1, 6, 1, 10, 2, 1, 2, 6, 2, 1, 1, 6, 1, 2, 6, 2, 2, 1, 10, 10, 1, 10, 10, 10, 6, 2, 1, 6, 1, 2, 10, 10, 2, 10, 6, 6, 2, 2, 10, 2, 1, 6, 6, 2, 6, 1, 2, 10, 6, 1, 10, 10, 2, 1, 10, 10, 1, 2, 1, 6, 2, 10, 1, 6, 1, 10, 1, 2, 10, 6, 2, 2, 6, 5, 10, 2, 2, 6, 10, 5, 10, 1, 6, 6, 10, 1, 1, 1, 6, 6, 1, 2, 6, 10, 10, 1, 10, 10, 10, 9, 1, 2, 10, 1, 2, 6, 2, 10, 4, 10, 2, 2, 10, 10, 1, 10, 6, 2, 6, 2, 2, 2, 10, 6, 1, 6, 6, 1, 10, 2, 2, 2, 2, 2, 1, 6, 2, 2, 2, 1, 1, 10, 1, 10, 2, 10, 2, 10, 1, 2, 2, 6, 10, 6, 6, 6, 1, 6, 2, 10, 1, 10, 2, 2, 10, 6, 6, 10, 10, 1, 2, 1, 1, 6, 2, 1, 1, 1, 10, 10, 2, 6, 10, 2, 1, 1, 10, 1, 10, 10, 6, 2, 10, 6, 10, 6, 1, 2, 1, 6, 5, 6, 2, 6, 6, 1, 2, 2, 2, 2, 2, 2, 2, 6, 10, 6, 6, 2, 6, 6, 1, 6, 10, 2, 6, 10, 2, 10, 10, 1, 10, 10, 6, 6, 5, 1, 6, 1, 1, 1, 6, 6, 10, 6, 10, 2, 4, 4, 10, 0, 1, 2, 1, 6, 1, 6, 2, 10, 2, 1, 10, 6, 2, 1, 2, 1, 10, 10, 2, 10, 10, 2, 6, 1, 2, 2, 10, 2, 10, 1, 10, 1, 2, 1, 10, 1, 6, 6, 2, 1, 1, 10, 10, 2, 1, 6, 1, 2, 1, 2, 1, 2, 2, 6, 9, 10, 2, 2, 6, 2, 6, 2, 6, 1, 2, 6, 10, 10, 10, 10, 6, 2, 1, 2, 1, 6, 1, 1, 6, 6, 10, 2, 0, 1, 10, 6, 6, 1, 10, 10, 10, 2, 6, 6, 6, 2, 2, 10, 6, 2, 10, 6, 2, 2, 2, 2, 6, 10, 2, 1, 10, 10, 10, 2, 1, 2, 6, 1, 2, 6, 2, 10, 10, 10, 10, 10, 2, 2, 6, 10, 2, 6, 1, 6, 10, 10, 10, 6, 1, 10, 6, 10, 1, 9, 1, 6, 10, 2, 2, 10, 1, 6, 2, 6, 1, 10, 6, 10, 10, 10, 6, 1, 10, 6, 10, 2, 1, 2, 1, 10, 6, 9, 10, 1, 10, 6, 6, 2, 2, 6, 6, 1, 5, 10, 1, 1, 10, 10, 2, 6, 10, 6, 6, 1, 1, 1, 6, 1, 2, 1, 6, 10, 6, 10, 10, 6, 1, 1, 6, 2, 6, 1, 1, 6, 10, 1, 1, 1, 5, 4, 1, 6, 10, 6, 10, 6, 2, 1, 1, 2, 10, 1, 6, 10, 1, 1, 6, 1, 2, 1, 6, 6, 2, 2, 2, 10, 1, 2, 0, 2, 10, 6, 10, 10, 2, 6, 6, 1, 1, 1, 1, 6, 6, 2, 2, 10, 10, 1, 10, 10, 2, 10, 10, 10, 6, 6, 6, 10, 2, 6, 1, 1, 2, 10, 2, 0, 10, 1, 2, 10, 2, 2, 1, 1, 1, 6, 1, 6, 1, 2, 2, 10, 2, 2, 6, 10, 1, 6, 10, 2, 2, 2, 10, 6, 1, 1, 10, 6, 10, 2, 2, 6, 2, 2, 1, 1, 6, 10, 6, 6, 6, 6, 6, 1, 2, 6, 2, 2, 1, 2, 10, 2, 10, 6, 10, 1, 2, 1, 6, 10, 2, 6, 10, 6, 1, 2, 6, 6, 2, 10, 10, 10, 10, 10, 6, 2, 1, 6, 2, 2, 1, 2, 2, 10, 6, 1, 10, 2, 1, 6, 6, 1, 2, 2, 5, 6, 2, 6, 1, 2, 2, 10, 10, 10, 10, 6, 9, 6, 9, 6, 1, 10, 6, 10, 2, 6, 4, 2, 1, 2, 6, 10, 1, 2, 1, 2, 1, 10, 10, 1, 6, 6, 1, 2, 6, 6, 2, 6, 60, 1, 2, 6, 1, 10, 1, 1, 2, 10, 2, 10, 10, 6, 10, 5, 10, 6, 10, 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6, 6, 6, 6, 4, 2, 1, 10, 2, 10, 1, 1, 1, 2, 6, 6, 2, 10, 10, 6, 2, 10, 2, 1, 1, 1, 6, 6, 6, 10, 10, 6, 1, 4, 10, 10, 1, 6, 2, 1, 2, 10, 2, 1, 2, 2, 6, 10, 6, 2, 2, 6, 2, 10, 1, 6, 6, 6, 2, 1, 1, 1, 6, 1, 6, 10, 10, 2, 6, 6, 10, 1, 10, 1, 10, 1, 0, 5, 1, 1, 1, 6, 6, 10, 2, 10, 1, 1, 6, 1, 5, 6, 2, 10, 1, 6, 6, 10, 6, 10, 6, 10, 10, 6, 6, 5, 5, 1, 6, 2, 1, 10, 10, 1, 10, 6, 2, 1, 2, 1, 6, 6, 2, 10, 2, 1, 10, 1, 1, 6, 6, 1, 6, 1, 2, 6, 6, 1, 6, 1, 6, 2, 10, 2, 2, 1, 6, 1, 6, 1, 1, 6, 9, 10, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 10, 10, 6, 1, 2, 4, 10, 10, 10, 1, 10, 2, 10, 6, 10, 10, 5, 10, 2, 10, 10, 1, 1, 6, 2, 6, 1, 2, 6, 1, 6, 10, 10, 6, 1, 2, 6, 2, 10, 10, 2, 1, 1, 1, 1, 2, 6, 6, 6, 1, 10, 0, 1, 10, 1, 1, 6, 10, 6, 1, 6, 10, 1, 10, 1, 0, 10, 10, 3, 6, 10, 2, 10, 2, 2, 6, 10, 6, 2, 6, 10, 6, 5, 10, 10, 2, 1, 2, 6, 1, 10, 10, 2, 2, 5, 10, 6, 10, 6, 2, 6, 6, 6, 2, 9, 2, 1, 10, 2, 2, 10, 1, 2, 1, 10, 2, 10, 2, 2, 2, 10, 1, 10, 2, 6, 2, 2, 10, 2, 6, 1, 2, 2, 10, 6, 2, 6, 10, 6, 1, 1, 10, 2, 6, 6, 1, 1, 6, 10, 6, 10, 1, 10, 2, 2, 1, 1, 2, 6, 1, 1, 2, 1, 6, 2, 10, 2, 1, 6, 1, 1, 6, 10, 1, 10, 1, 2, 10, 1, 10, 10, 1, 10, 6, 10, 1, 2, 10, 10, 6, 10, 6, 10, 6, 6, 6, 1, 6, 2, 6, 2, 10, 6, 6, 6, 2, 10, 6, 2, 10, 10, 6, 6, 10, 0, 6, 10, 2, 10, 10, 6, 10, 2, 1, 10, 10, 6, 2, 10, 2, 1, 6, 10, 1, 1, 6, 10, 10, 1, 10, 10, 1, 2, 6, 1, 10, 10, 1, 6, 10, 2, 1, 6, 2, 6, 6, 4, 2, 2, 1, 2, 6, 1, 2, 1, 10, 1, 1, 6, 0, 2, 10, 2, 10, 1, 10, 1, 2, 6, 10, 2, 10, 2, 2, 1, 6, 6, 10, 2, 10, 2, 2, 1, 6, 6, 10, 2, 6, 6, 1, 6, 2, 10, 2, 10, 10, 1, 1, 10, 6, 10, 1, 2, 1, 10, 1, 1, 1, 1, 10, 6, 2, 2, 2, 1, 6, 6, 1, 2, 2, 1, 10, 4, 6, 2, 10, 6, 10, 2, 1, 6, 6, 4, 2, 1, 10, 6, 10, 1, 6, 2, 10, 10, 1, 10, 10, 1, 2, 6, 10, 1, 2, 10, 10, 6, 2, 1, 10, 2, 5, 2, 6, 10, 10, 6, 2, 1, 1, 10, 2, 10, 10, 6, 6, 1, 6, 10, 2, 5, 2, 10, 1, 1, 6, 10, 1, 10, 6, 10, 9, 1, 1, 6, 2, 6, 10, 1, 1, 0, 2, 1, 10, 10, 2, 2, 1, 6, 2, 6, 1, 4, 6, 6, 6, 10, 1, 2, 1, 1, 6, 6, 2, 6, 1, 2, 6, 6, 1, 1, 1, 0, 6, 10, 10, 10, 10, 2, 10, 1, 1, 2, 10, 2, 10, 2, 10, 6, 6, 6, 2, 1, 1, 2, 2, 1, 2, 10, 10, 4, 10, 10, 10, 1, 1, 6, 2, 10, 2, 6, 10, 10, 2, 1, 10, 10, 1, 10, 10, 6, 2, 2, 1, 1, 2, 2, 10, 2, 6, 2, 1, 2, 10, 6, 6, 6, 10, 6, 6, 2, 10, 2, 1, 1, 6, 2, 1, 6, 2, 2, 6, 10, 2, 10, 2, 6, 6, 6, 2, 2, 1, 6, 10, 10, 10, 10, 10, 10, 6, 10, 6, 2, 1, 4, 6, 6, 2, 2, 2, 6, 1, 10, 1, 1, 1, 1, 10, 10, 1, 2, 5, 6, 1, 6, 1, 10, 1, 10, 2, 2, 6, 1, 5, 6, 6, 6, 10, 1, 6, 1, 6, 6, 10, 2, 2, 10, 10, 1, 10, 6, 1, 6, 0, 10, 9, 10, 6, 6, 1, 2, 2, 2, 10, 1, 7, 2, 2, 10, 1, 2, 1, 10, 2, 1, 6, 1, 2, 2, 2, 6, 1, 40, 1, 2, 6, 10, 10, 6, 2, 2, 6, 1, 2, 10, 1, 1, 2, 6, 1, 2, 6, 6, 1, 10, 6, 1, 1, 1, 6, 6, 10, 2, 1, 6, 6, 2, 2, 6, 10, 2, 10, 10, 1, 1, 1, 6, 2, 6, 2, 1, 2, 10, 1, 1, 1, 10, 10, 6, 6, 2, 6, 6, 1, 10, 1, 6, 10, 10, 6, 10, 6, 6, 6, 10, 10, 1, 1, 1, 10, 2, 9, 6, 1, 1, 1, 2, 10, 2, 1, 6, 10, 10, 10, 2, 10, 10, 10, 10, 6, 1, 2, 1, 6, 2, 1, 10, 6, 2, 5, 1, 10, 1, 10, 2, 1, 1, 10, 10, 10, 10, 10, 10, 6, 1, 10, 10, 1, 2, 2, 6, 6, 6, 10, 2, 2, 1, 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10, 1, 2, 10, 1, 10, 1, 1, 1, 10, 10, 1, 2, 2, 10, 2, 10, 3, 10, 10, 6, 10, 2, 10, 10, 1, 2, 6, 1, 2, 2, 6, 6, 2, 6, 10, 2, 6, 2, 10, 6, 2, 6, 10, 6, 9, 10, 1, 6, 6, 1, 2, 1, 2, 2, 6, 2, 6, 6, 1, 2, 10, 0, 2, 2, 2, 10, 10, 6, 10, 6, 4, 1, 6, 2, 10, 2, 10, 2, 2, 10, 2, 9, 4, 10, 6, 1, 6, 6, 6, 10, 10, 2, 10, 1, 2, 10, 1, 1, 2, 6, 10, 10, 1, 10, 1, 1, 1, 10, 10, 2, 6, 6, 6, 6, 1, 1, 6, 2, 2, 6, 10, 6, 1, 1, 1, 1, 6, 0, 2, 6, 10, 2, 10, 6, 2, 6, 1, 1, 10, 9, 5, 6, 1, 2, 2, 6, 10, 2, 1, 2, 6, 10, 10, 6, 6, 1, 10, 1, 1, 4, 1, 10, 2, 1, 10, 2, 2, 10, 6, 2, 10, 2, 6, 2, 1, 10, 1, 1, 6, 10, 6, 1, 2, 10, 2, 1, 10, 2, 6, 1, 1, 4, 10, 6, 2, 6, 2, 1, 2, 1, 2, 6, 10, 10, 10, 1, 2, 10, 1, 2, 2, 2, 1, 6, 6, 1, 10, 1, 10, 6, 1, 10, 6, 10, 10, 10, 2, 6, 10, 2, 2, 2, 6, 6, 2, 2, 10, 6, 10, 2, 6, 10, 1, 10, 1, 2, 6, 6, 2, 1, 1, 2, 10, 10, 6, 6, 6, 6, 2, 2, 2, 2, 1, 2, 2, 2, 2, 10, 10, 6, 1, 10, 1, 1, 1, 1, 2, 2, 2, 2, 6, 10, 2, 1, 1, 6, 10, 1, 6, 2, 1, 1, 2, 10, 2, 1, 2, 6, 0, 2, 10, 1, 10, 10, 4, 1, 1, 2, 6, 2, 1, 1, 2, 2, 2, 6, 10, 10, 1, 1, 10, 6, 10, 10, 2, 0, 10, 9, 6, 1, 1, 6, 6, 10, 10, 2, 2, 6, 2, 1, 1, 10, 6, 1, 1, 6, 6, 10, 6, 1, 6, 6, 2, 10, 6, 2, 2, 10, 10, 6, 5, 1, 2, 6, 6, 1, 10, 6, 2, 10, 1, 1, 2, 10, 10, 10, 1, 10, 6, 10, 6, 1, 10, 10, 6, 10, 6, 10, 6, 6, 5, 1, 6, 10, 6, 1, 2, 2, 10, 2, 10, 10, 2, 10, 1, 2, 2, 10, 6, 2, 1, 10, 10, 1, 6, 7, 10, 6, 10, 10, 10, 2, 10, 2, 6, 6, 10, 6, 1, 10, 6, 1, 6, 10, 10, 2, 6, 6, 6, 10, 2, 1, 6, 1, 6, 10, 2, 1, 10, 2, 1, 6, 10, 2, 1, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 2, 1, 6, 10, 10, 6, 1, 6, 6, 10, 1, 6, 1, 6, 2, 2, 5, 6, 6, 10, 10, 6, 6, 2, 10, 6, 10, 6, 6, 2, 2, 10, 10, 2, 2, 1, 1, 6, 1, 6, 1, 2, 1, 2, 1, 2, 2, 1, 1, 6, 1, 1, 5, 6, 6, 2, 10, 6, 2, 1, 10, 10, 1, 10, 1, 2, 10, 1, 10, 6, 1, 2, 10, 6, 2, 10, 10, 2, 6, 10, 4, 1, 6, 1, 10, 2, 6, 2, 10, 1, 2, 6, 10, 2, 10, 10, 10, 1, 2, 1, 10, 6, 6, 6, 1, 6, 6, 1, 2, 1, 10, 1, 2, 2, 1, 2, 6, 1, 10, 1, 6, 10, 1, 2, 1, 10, 10, 10, 6, 1, 2, 5, 6, 10, 1, 2, 6, 10, 50, 2, 2, 1, 2, 6, 6, 1, 1, 6, 5, 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1, 6, 10, 1, 1, 6, 6, 4, 6, 6, 6, 2, 1, 1, 6, 10, 2, 2, 1, 2, 10, 6, 10, 1, 2, 2, 10, 2, 2, 6, 10, 6, 2, 10, 2, 5, 1, 1, 6, 1, 10, 1, 1, 6, 1, 1, 6, 2, 1, 6, 6, 2, 6, 10, 10, 6, 6, 10, 2, 1, 6, 6, 10, 6, 6, 2, 6, 2, 6, 4, 9, 1, 10, 1, 1, 10, 6, 6, 6, 1, 1, 2, 1, 10, 6, 10, 1, 6, 6, 6, 10, 1, 1, 10, 1, 6, 2, 2, 2, 6, 2, 1, 1, 2, 6, 10, 6, 6, 2, 10, 2, 1, 2, 6, 1, 2, 1, 1, 2, 1, 6, 6, 6, 1, 10, 10, 2, 10, 10, 6, 2, 1, 6, 1, 2, 10, 1, 2, 6, 6, 1, 6, 6, 1, 10, 2, 6, 1, 2, 2, 6, 6, 6, 10, 1, 1, 6, 2, 1, 6, 1, 10, 2, 1, 1, 1, 1, 2, 10, 2, 10, 1, 6, 3, 6, 6, 1, 1, 2, 1, 1, 1, 6, 1, 6, 10, 10, 10, 2, 1, 10, 2, 1, 2, 1, 2, 6, 2, 2, 9, 2, 6, 1, 6, 2, 6, 2, 5, 2, 2, 2, 10, 6, 10, 6, 1, 10, 6, 2, 6, 6, 1, 2, 1, 4, 6, 10, 1, 0, 1, 2, 1, 1, 4, 2, 2, 6, 1, 6, 6, 1, 2, 2, 6, 6, 6, 1, 6, 6, 10, 6, 1, 10, 10, 2, 2, 1, 2, 1, 1, 6, 6, 6, 1, 2, 10, 10, 10, 1, 10, 2, 1, 10, 1, 10, 1, 10, 2, 2, 2, 2, 10, 2, 6, 2, 10, 2, 1, 2, 2, 10, 6, 2, 0, 1, 6, 1, 10, 2, 1, 1, 1, 10, 6, 1, 6, 2, 6, 5, 9, 10, 10, 1, 6, 6, 6, 2, 2, 6, 6, 2, 10, 2, 1, 1, 10, 10, 2, 6, 6, 1, 6, 10, 1, 2, 2, 6, 2, 2, 6, 10, 6, 2, 6, 6, 6, 10, 6, 1, 10, 6, 1, 6, 10, 2, 1, 1, 10, 2, 6, 10, 10, 2, 10, 6, 6, 2, 1, 6, 2, 10, 1, 10, 6, 1, 5, 10, 2, 9, 10, 2, 1, 6, 2, 2, 6, 6, 10, 10, 2, 1, 10, 6, 10, 6, 2, 6, 2, 10, 10, 6, 10, 1, 10, 6, 1, 2, 2, 2, 1, 9, 8, 80, 10, 6, 6, 10, 1, 1, 10, 6, 2, 2, 6, 1, 6, 10, 1, 2, 1, 2, 6, 2, 6, 2, 6, 2, 6, 2, 5, 1, 6, 1, 10, 2, 6, 1, 2, 2, 2, 2, 2, 1, 2, 6, 10, 6, 10, 1, 6, 2, 1, 2, 2, 2, 10, 6, 10, 10, 6, 6, 2, 1, 10, 1, 1, 10, 1, 2, 10, 10, 10, 10, 1, 6, 10, 1, 10, 6, 6, 6, 6, 6, 6, 10, 2, 9, 10, 10, 10, 10, 5, 4, 2, 10, 10, 6, 5, 1, 2, 1, 6, 4, 4, 1, 10, 6, 6, 10, 1, 10, 5, 6, 6, 1, 2, 2, 6, 1, 1, 10, 1, 1, 10, 1, 10, 10, 1, 2, 6, 10, 6, 10, 10, 6, 2, 6, 2, 1, 10, 10, 1, 6, 10, 1, 1, 9, 1, 2, 10, 2, 6, 1, 6, 10, 6, 1, 2, 10, 6, 1, 1, 10, 10, 1, 1, 1, 2, 10, 1, 2, 10, 7, 2, 1, 6, 6, 10, 1, 1, 1, 1, 1, 10, 4, 1, 6, 1, 1, 2, 10, 10, 2, 6, 10, 6, 10, 2, 2, 6, 1, 1, 10, 10, 10, 1, 6, 6, 2, 2, 2, 2, 2, 10, 1, 9, 2, 10, 1, 10, 2, 10, 10, 6, 1, 1, 6, 10, 2, 2, 6, 6, 6, 1, 10, 1, 1, 6, 10, 1, 6, 6, 10, 1, 6, 9, 1, 1, 1, 2, 1, 2, 2, 2, 9, 1, 10, 10, 10, 1, 6, 10, 6, 1, 6, 10, 1, 2, 1, 2, 6, 1, 6, 6, 6, 2, 10, 6, 2, 10, 1, 2, 10, 2, 10, 1, 6, 2, 6, 1, 1, 10, 2, 2, 10, 10, 2, 10, 10, 6, 6, 1, 6, 2, 2, 10, 2, 1, 6, 10, 2, 10, 2, 1, 6, 6, 10, 10, 10, 1, 6, 2, 2, 1, 10, 2, 1, 6, 6, 6, 9, 10, 2, 2, 2, 6, 2, 0, 6, 2, 5, 1, 1, 1, 10, 10, 10, 2, 6, 2, 10, 2, 4, 6, 10, 1, 2, 2, 1, 6, 9, 2, 10, 10, 1, 6, 6, 10, 4, 1, 1, 6, 6, 6, 6, 2, 6, 10, 10, 1, 1, 6, 1, 6, 10, 10, 9, 1, 2, 10, 1, 10, 10, 6, 6, 1, 10, 1, 2, 2, 2, 6, 10, 6, 1, 1, 10, 6, 6, 10, 2, 2, 2, 1, 2, 6, 2, 6, 1, 6, 10, 6, 2, 6, 2, 2, 1, 1, 10, 6, 1, 1, 6, 10, 6, 10, 6, 1, 2, 2, 2, 2, 4, 10, 6, 6, 10, 2, 1, 1, 10, 2, 1, 6, 1, 10, 6, 10, 6, 1, 1, 1, 2, 6, 2, 6, 10, 10, 10, 2, 6, 2, 2, 6, 1, 2, 6, 1, 6, 2, 6, 1, 2, 1, 2, 2, 6, 2, 1, 2, 10, 1, 6, 10, 1, 2, 6, 2, 0, 1, 6, 10, 1, 6, 1, 1, 2, 1, 0, 10, 10, 2, 6, 2, 1, 1, 2, 1, 10, 6, 1, 1, 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2, 1, 10, 6, 6, 6, 10, 2, 10, 6, 6, 10, 10, 1, 2, 10, 1, 10, 10, 2, 1, 10, 2, 1, 1, 6, 10, 6, 1, 10, 10, 10, 9, 1, 10, 1, 10, 6, 6, 1, 9, 1, 2, 1, 6, 6, 1, 6, 1, 6, 6, 6, 2, 6, 6, 1, 2, 2, 10, 9, 2, 1, 10, 1, 6, 10, 2, 2, 6, 10, 1, 10, 6, 6, 1, 1, 2, 6, 2, 10, 10, 10, 1, 2, 2, 6, 1, 1, 6, 10, 2, 10, 1, 6, 10, 2, 10, 10, 2, 6, 10, 2, 2, 6, 10, 2, 2, 9, 10, 10, 6, 1, 2, 2, 1, 1, 1, 6, 6, 6, 2, 2, 2, 1, 1, 2, 1, 1, 2, 5, 6, 10, 2, 10, 10, 6, 10, 10, 10, 6, 6, 10, 6, 10, 2, 10, 10, 10, 2, 2, 2, 1, 1, 10, 6, 10, 10, 2, 6, 10, 1, 2, 1, 1, 10, 2, 6, 6, 6, 1, 10, 10, 2, 1, 1, 2, 2, 2, 1, 10, 6, 2, 1, 10, 10, 6, 10, 1, 1, 10, 2, 10, 2, 5, 1, 10, 10, 1, 10, 2, 10, 2, 10, 6, 2, 6, 2, 6, 6, 10, 10, 10, 6, 1, 2, 5, 6, 2, 6, 1, 6, 10, 10, 10, 10, 1, 6, 2, 2, 10, 6, 2, 1, 6, 2, 10, 2, 6, 2, 2, 10, 6, 6, 9, 2, 10, 6, 2, 2, 2, 10, 6, 6, 1, 2, 7, 2, 6, 1, 10, 10, 2, 6, 2, 1, 6, 10, 10, 1, 1, 6, 10, 1, 10, 10, 1, 10, 10, 2, 6, 2, 10, 2, 6, 6, 1, 5, 1, 2, 10, 10, 2, 10, 10, 1, 10, 1, 2, 10, 1, 1, 2, 6, 10, 6, 10, 6, 1, 1, 2, 2, 1, 1, 10, 10, 2, 1, 1, 10, 6, 10, 10, 6, 2, 2, 10, 2, 6, 1, 2, 10, 2, 10, 10, 10, 2, 10, 10, 6, 2, 2, 2, 1, 10, 2, 10, 2, 1, 1, 6, 9, 6, 1, 2, 2, 2, 2, 1, 6, 1, 6, 10, 2, 10, 10, 1, 2, 2, 1, 6, 2, 10, 10, 6, 10, 2, 2, 2, 10, 6, 10, 1, 2, 10, 6, 1, 10, 10, 10, 10, 10, 6, 10, 1, 10, 2, 2, 1, 10, 1, 1, 6, 1, 6, 10, 10, 2, 1, 6, 2, 10, 10, 4, 2, 6, 6, 2, 1, 6, 10, 10, 2, 6, 1, 2, 1, 10, 10, 1, 2, 10, 2, 10, 6, 10, 1, 10, 10, 2, 10, 10, 6, 1, 1, 10, 2, 10, 1, 1, 6, 2, 1, 2, 6, 10, 1, 1, 1, 2, 10, 10, 2, 2, 1, 2, 10, 2, 10, 6, 10, 1, 1, 1, 0, 6, 2, 2, 0, 6, 4, 10, 1, 6, 10, 10, 1, 2, 6, 1, 2, 10, 1, 10, 10, 10, 1, 1, 6, 1, 1, 6, 2, 10, 2, 2, 1, 1, 9, 1, 10, 2, 1, 2, 6, 10, 6, 10, 4, 10, 10, 1, 2, 6, 2, 10, 0, 6, 6, 10, 10, 2, 2, 2, 1, 2, 1, 10, 10, 1, 10, 2, 1, 1, 2, 2, 6, 6, 2, 1, 1, 2, 2, 10, 10, 6, 1, 2, 2, 1, 2, 1, 6, 2, 10, 6, 2, 10, 10, 2, 6, 10, 10, 10, 2, 10, 1, 6, 6, 6, 6, 2, 10, 10, 6, 6, 10, 6, 2, 10, 10, 1, 1, 6, 10, 1, 10, 2, 6, 1, 1, 2, 2, 1, 1, 1, 1, 6, 2, 10, 1, 10, 6, 6, 6, 2, 2, 1, 10, 6, 1, 1, 2, 6, 10, 6, 2, 2, 1, 6, 10, 6, 2, 10, 4, 2, 2, 1, 8, 6, 2, 10, 10, 6, 2, 2, 2, 1, 6, 2, 2, 6, 6, 10, 2, 10, 1, 1, 1, 10, 2, 10, 10, 2, 10, 2, 2, 1, 10, 6, 1, 10, 6, 2, 6, 1, 2, 2, 6, 1, 2, 2, 1, 6, 2, 1, 1, 6, 6, 2, 6, 10, 10, 1, 10, 1, 2, 5, 6, 1, 1, 10, 1, 2, 1, 1, 1, 10, 2, 1, 10, 6, 2, 2, 6, 2, 2, 1, 10, 10, 10, 1, 1, 10, 1, 6, 10, 1, 2, 1, 4, 10, 10, 1, 1, 2, 6, 10, 10, 10, 10, 2, 2, 2, 0, 9, 6, 1, 6, 1, 2, 6, 6, 2, 10, 0, 4, 6, 10, 10, 6, 6, 10, 10, 1, 10, 2, 10, 1, 2, 10, 6, 6, 10, 10, 10, 6, 2, 10, 1, 10, 10, 6, 10, 10, 1, 10, 2, 1, 1, 10, 6, 9, 6, 10, 6, 6, 1, 2, 1, 2, 2, 6, 1, 10, 10, 10, 6, 10, 10, 1, 10, 1, 6, 1, 10, 1, 10, 10, 10, 10, 5, 1, 1, 10, 2, 6, 2, 1, 1, 6, 1, 6, 1, 10, 2, 10, 10, 2, 10, 2, 10, 2, 1, 2, 1, 6, 10, 2, 1, 6, 10, 1, 10, 6, 10, 2, 5, 2, 6, 6, 1, 1, 10, 2, 2, 10, 1, 1, 4, 1, 10, 10, 10, 6, 1, 1, 9, 10, 6, 2, 2, 2, 10, 5, 6, 2, 2, 0, 6, 2, 6, 2, 1, 2, 6, 6, 2, 1, 2, 1, 10, 1, 6, 6, 2, 1, 10, 1, 10, 2, 2, 1, 6, 1, 10, 2, 1, 1, 6, 1, 1, 1, 1, 6, 10, 6, 1, 10, 10, 5, 2, 1, 1, 10, 10, 1, 2, 10, 1, 2, 10, 2, 1, 10, 6, 6, 6, 2, 1, 6, 2, 1, 2, 1, 2, 6, 10, 10, 4, 1, 1, 10, 2, 1, 10, 6, 10, 2, 10, 10, 1, 6, 1, 7, 6, 10, 1, 10, 10, 1, 6, 1, 10, 0, 10, 10, 5, 10, 6, 1, 10, 6, 1, 2, 6, 10, 1, 10, 10, 2, 1, 2, 2, 10, 2, 6, 1, 6, 6, 2, 10, 6, 1, 10, 1, 10, 1, 4, 10, 6, 60, 6, 1, 6, 2, 10, 2, 6, 1, 10, 2, 1, 6, 10, 10, 1, 10, 1, 1, 2, 2, 10, 1, 1, 10, 10, 6, 10, 10, 2, 10, 10, 6, 1, 2, 10, 1, 2, 10, 10, 2, 10, 2, 1, 10, 6, 2, 10, 6, 10, 10, 2, 1, 6, 1, 10, 2, 1, 2, 10, 6, 5, 6, 2, 6, 2, 6, 1, 1, 6, 6, 6, 6, 10, 1, 6, 1, 6, 2, 10, 10, 6, 1, 6, 10, 1, 2, 6, 5, 6, 1, 10, 2, 2, 2, 1, 6, 10, 6, 6, 10, 1, 2, 1, 10, 1, 1, 2, 1, 10, 10, 2, 2, 10, 10, 10, 10, 2, 6, 6, 1, 6, 10, 1, 6, 10, 10, 2, 1, 2, 1, 1, 6, 2, 10, 6, 9, 10, 6, 10, 2, 1, 1, 10, 1, 1, 2, 2, 1, 1, 2, 6, 1, 10, 1, 4, 1, 10, 2, 6, 2, 6, 10, 10, 10, 1, 6, 10, 10, 1, 6, 1, 10, 10, 9, 1, 10, 2, 1, 2, 6, 2, 10, 6, 1, 10, 1, 2, 1, 1, 10, 2, 2, 10, 2, 10, 1, 10, 6, 1, 2, 1, 1, 2, 5, 6, 6, 10, 2, 10, 1, 6, 1, 6, 2, 6, 10, 2, 10, 6, 1, 10, 1, 6, 10, 1, 6, 1, 6, 6, 1, 1, 6, 10, 1, 2, 10, 2, 6, 6, 10, 2, 2, 10, 6, 2, 1, 6, 10, 10, 2, 1, 10, 10, 10, 2, 2, 1, 10, 6, 2, 10, 2, 2, 2, 1, 1, 1, 1, 10, 10, 2, 6, 6, 10, 2, 10, 1, 6, 6, 10, 1, 10, 1, 6, 2, 2, 10, 1, 1, 2, 6, 1, 1, 6, 6, 2, 1, 6, 10, 1, 10, 10, 1, 6, 10, 2, 10, 10, 1, 1, 1, 6, 1, 1, 6, 6, 6, 2, 2, 6, 2, 1, 10, 1, 10, 10, 2, 1, 1, 2, 1, 10, 1, 2, 2, 2, 10, 1, 6, 6, 6, 6, 6, 2, 1, 1, 10, 10, 2, 10, 10, 10, 1, 1, 10, 2, 2, 2, 10, 6, 2, 10, 10, 1, 2, 1, 6, 10, 1, 2, 10, 10, 10, 6, 2, 6, 2, 1, 10, 10, 2, 10, 6, 10, 10, 6, 1, 6, 2, 1, 6, 2, 10, 6, 2, 2, 2, 6, 10, 6, 1, 1, 6, 6, 10, 6, 10, 2, 1, 6, 6, 6, 10, 6, 6, 1, 2, 6, 2, 2, 2, 10, 6, 10, 10, 2, 4, 2, 1, 2, 6, 10, 1, 1, 6, 10, 10, 6, 10, 2, 2, 2, 6, 1, 10, 1, 1, 2, 10, 2, 10, 6, 10, 10, 10, 10, 6, 5, 6, 2, 1, 10, 6, 10, 6, 1, 2, 6, 10, 2, 10, 2, 2, 1, 1, 6, 6, 2, 6, 4, 2, 2, 2, 2, 1, 10, 2, 2, 6, 1, 6, 10, 2, 6, 2, 2, 1, 5, 1, 1, 1, 10, 6, 2, 1, 2, 2, 10, 10, 6, 2, 6, 6, 6, 1, 10, 10, 2, 6, 6, 2, 6, 10, 10, 6, 6, 1, 10, 10, 6, 6, 10, 1, 10, 2, 10, 6, 10, 2, 4, 6, 9, 1, 10, 1, 6, 10, 6, 6, 1, 1, 10, 2, 10, 2, 1, 10, 10, 2, 10, 2, 6, 6, 1, 6, 6, 10, 1, 10, 2, 2, 6, 6, 10, 10, 1, 1, 6, 1, 6, 1, 6, 10, 6, 1, 2, 10, 6, 6, 6, 1, 1, 2, 1, 2, 10, 1, 10, 2, 4, 2, 1, 1, 10, 2, 6, 5, 0, 10, 2, 10, 6, 1, 2, 10, 2, 1, 6, 2, 2, 4, 2, 2, 6, 1, 1, 1, 6, 2, 1, 10, 2, 10, 1, 0, 1, 2, 2, 1, 6, 2, 10, 1, 6, 1, 10, 10, 1, 6, 2, 2, 6, 6, 1, 6, 2, 10, 6, 2, 10, 2, 1, 4, 6, 1, 10, 6, 2, 2, 6, 10, 6, 2, 6, 10, 10, 10, 6, 2, 1, 2, 1, 1, 2, 2, 0, 10, 6, 1, 2, 2, 2, 10, 5, 1, 10, 1, 10, 1, 2, 2, 6, 2, 1, 1, 1, 10, 6, 2, 2, 10, 2, 10, 10, 2, 2, 2, 6, 10, 10, 1, 10, 6, 2, 6, 1, 2, 6, 1, 10, 10, 1, 9, 10, 1, 1, 1, 1, 2, 1, 2, 6, 0, 6, 1, 6, 6, 10, 6, 10, 1, 6, 10, 2, 6, 2, 1, 2, 6, 10, 10, 10, 6, 10, 6, 2, 1, 6, 10, 6, 10, 10, 2, 6, 2, 2, 1, 1, 1, 6, 6, 2, 10, 2, 1, 2, 1, 10, 2, 2, 6, 10, 6, 2, 2, 6, 6, 1, 1, 4, 2, 6, 1, 1, 1, 2, 1, 9, 2, 1, 6, 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10, 6, 2, 6, 2, 6, 6, 2, 2, 1, 2, 2, 6, 2, 6, 6, 2, 6, 10, 2, 1, 1, 6, 6, 2, 10, 10, 6, 2, 1, 6, 10, 1, 10, 6, 10, 6, 1, 4, 6, 10, 1, 1, 2, 5, 2, 2, 2, 10, 9, 1, 6, 6, 6, 1, 10, 2, 6, 6, 1, 10, 2, 6, 2, 6, 1, 1, 1, 6, 2, 10, 1, 10, 6, 5, 1, 1, 10, 1, 1, 10, 10, 0, 6, 2, 6, 2, 10, 1, 10, 1, 2, 6, 1, 10, 6, 6, 2, 6, 4, 1, 6, 2, 1, 10, 2, 2, 1, 1, 4, 1, 10, 10, 6, 2, 2, 1, 10, 6, 6, 1, 10, 6, 1, 1, 2, 1, 1, 10, 6, 6, 6, 1, 2, 6, 6, 2, 1, 6, 6, 10, 1, 1, 2, 6, 1, 6, 6, 1, 10, 1, 6, 2, 2, 6, 1, 2, 1, 2, 2, 1, 1, 6, 10, 10, 6, 10, 6, 10, 1, 10, 6, 6, 6, 10, 10, 2, 6, 6, 6, 1, 6, 1, 6, 2, 1, 1, 2, 1, 0, 6, 10, 6, 10, 2, 10, 10, 2, 6, 6, 6, 2, 6, 6, 10, 1, 2, 1, 6, 6, 2, 1, 1, 6, 2, 6, 1, 6, 10, 10, 2, 6, 6, 10, 1, 2, 2, 10, 10, 10, 2, 2, 10, 10, 6, 1, 2, 1, 2, 1, 10, 10, 10, 2, 1, 1, 2, 1, 6, 1, 2, 1, 6, 2, 1, 1, 6, 1, 2, 10, 2, 1, 10, 1, 2, 10, 10, 2, 6, 10, 10, 10, 10, 6, 6, 6, 1, 6, 1, 1, 2, 2, 6, 6, 10, 2, 1, 2, 2, 2, 10, 2, 10, 1, 6, 2, 1, 1, 2, 6, 10, 6, 2, 10, 10, 1, 9, 1, 10, 6, 6, 6, 6, 1, 1, 2, 1, 10, 6, 1, 10, 6, 2, 6, 1, 6, 1, 6, 1, 1, 6, 1, 2, 1, 1, 5, 1, 10, 2, 1, 1, 10, 10, 10, 1, 6, 10, 6, 2, 1, 10, 1, 2, 10, 2, 2, 6, 10, 6, 2, 6, 10, 6, 10, 1, 6, 2, 6, 2, 1, 2, 2, 1, 2, 6, 6, 1, 6, 1, 2, 2, 6, 1, 2, 1, 6, 2, 6, 2, 10, 6, 1, 10, 10, 1, 1, 2, 1, 2, 1, 6, 1, 6, 6, 2, 1, 1, 2, 10, 10, 2, 10, 5, 10, 2, 6, 6, 1, 1, 10, 6, 2, 10, 9, 10, 1, 10, 2, 1, 2, 6, 6, 10, 6, 10, 10, 2, 10, 6, 1, 1, 2, 10, 6, 1, 6, 6, 6, 6, 1, 6, 6, 1, 2, 10, 10, 1, 6, 10, 9, 1, 1, 6, 10, 2, 1, 10, 2, 1, 6, 10, 2, 6, 10, 9, 6, 2, 1, 1, 1, 6, 6, 2, 6, 1, 10, 2, 2, 10, 10, 10, 2, 1, 2, 2, 6, 6, 6, 10, 6, 10, 1, 6, 10, 1, 10, 2, 5, 10, 2, 10, 2, 2, 6, 2, 6, 6, 6, 2, 2, 1, 2, 5, 2, 10, 6, 6, 10, 10, 2, 6, 1, 10, 1, 6, 6, 2, 2, 1, 10, 6, 2, 2, 2, 10, 6, 2, 6, 2, 1, 10, 9, 1, 6, 2, 2, 10, 1, 10, 6, 10, 2, 6, 6, 10, 6, 10, 2, 0, 5, 2, 1, 6, 2, 2, 6, 1, 10, 2, 6, 2, 10, 2, 1, 10, 10, 6, 10, 1, 2, 2, 1, 6, 1, 4, 2, 10, 1, 6, 2, 6, 2, 1, 6, 6, 1, 6, 10, 2, 1, 10, 1, 6, 2, 1, 10, 1, 1, 2, 1, 1, 2, 10, 2, 1, 2, 6, 2, 6, 10, 2, 10, 6, 1, 2, 5, 10, 6, 6, 2, 6, 2, 1, 2, 2, 10, 2, 10, 1, 6, 6, 6, 1, 2, 2, 2, 6, 6, 0, 10, 5, 6, 2, 10, 6, 2, 6, 6, 1, 2, 2, 10, 10, 10, 10, 10, 1, 1, 2, 1, 6, 0, 2, 6, 6, 6, 10, 6, 2, 6, 2, 10, 1, 10, 10, 1, 2, 2, 2, 1, 10, 2, 10, 2, 6, 2, 6, 2, 1, 2, 10, 10, 2, 1, 10, 1, 1, 1, 10, 6, 1, 1, 6, 1, 10, 9, 10, 1, 2, 2, 2, 0, 10, 1, 6, 6, 0, 2, 4, 6, 2, 6, 1, 1, 9, 10, 1, 10, 6, 10, 1, 1, 10, 6, 1, 10, 2, 2, 6, 6, 6, 10, 2, 6, 2, 6, 2, 4, 6, 1, 6, 1, 2, 2, 1, 1, 1, 2, 10, 6, 10, 1, 4, 2, 2, 6, 1, 1, 5, 1, 1, 2, 6, 10, 6, 2, 6, 6, 10, 6, 6, 2, 10, 1, 1, 1, 1, 1, 10, 1, 1, 1, 6, 2, 6, 6, 9, 10, 1, 2, 1, 10, 10, 2, 6, 6, 1, 1, 6, 2, 2, 2, 10, 6, 6, 2, 1, 6, 1, 2, 6, 1, 6, 6, 1, 2, 1, 1, 6, 10, 2, 1, 6, 0, 10, 6, 1, 6, 10, 1, 10, 10, 2, 2, 1, 1, 1, 4, 1, 1, 1, 1, 2, 2, 6, 2, 10, 6, 1, 2, 10, 2, 2, 10, 10, 1, 1, 6, 6, 6, 10, 6, 10, 1, 1, 1, 2, 10, 2, 2, 2, 10, 1, 1, 6, 1, 2, 6, 0, 1, 4, 2, 1, 1, 10, 10, 6, 1, 10, 1, 0, 1, 10, 1, 6, 10, 2, 1, 0, 2, 6, 1, 10, 1, 6, 2, 6, 6, 10, 1, 1, 2, 10, 2, 5, 6, 2, 10, 10, 2, 2, 6, 6, 6, 2, 2, 2, 6, 4, 10, 1, 6, 6, 6, 6, 2, 2, 2, 2, 6, 10, 10, 10, 1, 6, 2, 10, 1, 10, 1, 2, 1, 1, 2, 2, 1, 2, 10, 10, 2, 2, 2, 6, 6, 1, 2, 2, 6, 1, 10, 2, 1, 1, 2, 6, 2, 2, 2, 1, 10, 10, 6, 4, 1, 10, 1, 10, 2, 10, 1, 10, 6, 10, 9, 6, 1, 10, 6, 2, 2, 10, 10, 1, 6, 2, 2, 6, 1, 1, 1, 10, 6, 10, 10, 6, 6, 6, 6, 2, 1, 10, 6, 2, 2, 10, 1, 2, 4, 1, 6, 2, 2, 1, 2, 1, 6, 2, 2, 1, 10, 1, 10, 2, 2, 10, 6, 6, 2, 10, 1, 2, 2, 6, 6, 1, 6, 2, 1, 2, 10, 1, 2, 1, 1, 0, 1, 1, 0, 6, 6, 1, 1, 2, 10, 2, 10, 2, 10, 2, 6, 6, 10, 2, 6, 10, 2, 1, 10, 2, 1, 1, 1, 2, 2, 2, 2, 6, 6, 2, 1, 10, 2, 2, 0, 1, 6, 10, 10, 6, 2, 1, 10, 1, 6, 10, 1, 6, 1, 5, 6, 1, 2, 1, 1, 1, 6, 6, 6, 10, 2, 10, 2, 6, 6, 10, 10, 1, 6, 1, 2, 1, 2, 10, 6, 2, 6, 1, 2, 10, 2, 1, 10, 2, 2, 10, 10, 6, 2, 10, 2, 2, 6, 10, 6, 1, 2, 10, 2, 2, 1, 1, 1, 2, 6, 1, 2, 6, 1, 1, 2, 2, 1, 2, 10, 10, 6, 10, 2, 6, 10, 6, 1, 10, 1, 10, 6, 4, 6, 1, 6, 6, 1, 2, 1, 10, 6, 2, 10, 1, 10, 10, 6, 2, 6, 2, 6, 2, 10, 10, 1, 6, 10, 6, 2, 2, 1, 2, 1, 2, 1, 2, 2, 6, 10, 6, 1, 10, 10, 1, 6, 10, 2, 1, 2, 10, 1, 6, 2, 6, 10, 10, 1, 4, 6, 2, 2, 10, 1, 2, 2, 2, 1, 2, 10, 2, 2, 2, 10, 10, 1, 6, 6, 1, 2, 1, 6, 6, 10, 5, 1, 6, 6, 1, 10, 2, 2, 2, 6, 1, 1, 6, 10, 6, 2, 2, 10, 10, 6, 1, 9, 10, 6, 1, 2, 6, 6, 2, 10, 10, 2, 2, 2, 2, 2, 6, 5, 6, 10, 10, 10, 6, 6, 10, 1, 6, 2, 6, 1, 1, 10, 6, 2, 10, 10, 10, 2, 1, 6, 2, 6, 6, 10, 6, 6, 2, 6, 6, 1, 10, 1, 2, 1, 10, 10, 2, 2, 2, 6, 1, 10, 6, 2, 1, 10, 6, 6, 2, 6, 1, 1, 1, 6, 6, 2, 6, 2, 2, 2, 1, 1, 1, 1, 10, 6, 6, 2, 1, 6, 1, 10, 10, 6, 1, 2, 6, 2, 6, 1, 6, 1, 10, 6, 2, 2, 10, 0, 10, 2, 6, 10, 6, 1, 10, 1, 6, 1, 10, 10, 1, 2, 6, 6, 6, 6, 2, 6, 10, 6, 4, 1, 10, 10, 6, 9, 1, 10, 6, 6, 6, 2, 2, 2, 10, 1, 2, 6, 6, 5, 6, 10, 6, 1, 2, 1, 2, 10, 6, 1, 1, 2, 6, 10, 2, 10, 2, 1, 10, 10, 1, 1, 2, 10, 10, 10, 1, 1, 2, 2, 4, 10, 1, 10, 10, 10, 1, 2, 2, 5, 5, 2, 1, 6, 2, 2, 6, 1, 10, 2, 5, 10, 2, 10, 2, 1, 10, 6, 1, 6, 9, 2, 10, 6, 2, 2, 6, 2, 1, 6, 10, 2, 6, 4, 6, 2, 1, 10, 10, 10, 2, 6, 1, 1, 6, 1, 2, 1, 10, 1, 2, 2, 10, 10, 2, 6, 6, 1, 2, 6, 1, 6, 10, 1, 10, 2, 1, 6, 2, 1, 6, 2, 2, 10, 1, 2, 1, 2, 2, 6, 6, 10, 10, 6, 6, 6, 10, 6, 6, 1, 1, 10, 1, 6, 6, 6, 6, 10, 1, 1, 6, 10, 6, 6, 6, 9, 2, 1, 10, 2, 2, 5, 9, 10, 4, 2, 1, 2, 6, 1, 6, 6, 1, 1, 6, 2, 6, 2, 2, 1, 10, 2, 10, 1, 1, 2, 10, 6, 6, 1, 1, 1, 1, 1, 10, 6, 1, 6, 6, 6, 2, 6, 2, 1, 10, 10, 6, 1, 2, 10, 10, 1, 2, 1, 2, 10, 6, 10, 10, 10, 6, 2, 2, 2, 10, 1, 1, 1, 2, 6, 10, 10, 6, 6, 1, 0, 6, 2, 6, 10, 1, 1, 2, 10, 6, 10, 10, 10, 5, 2, 10, 2, 6, 2, 1, 10, 6, 10, 1, 1, 10, 6, 1, 6, 1, 6, 10, 6, 10, 6, 2, 10, 1, 1, 2, 1, 2, 6, 2, 1, 1, 10, 1, 6, 10, 1, 2, 2, 6, 6, 2, 2, 2, 2, 6, 10, 5, 10, 6, 10, 10, 2, 10, 2, 2, 2, 1, 6, 2, 1, 6, 1, 2, 10, 10, 2, 10, 2, 6, 10, 1, 2, 2, 6, 10, 0, 2, 2, 10, 1, 1, 1, 1, 6, 6, 10, 2, 6, 10, 2, 2, 10, 10, 1, 1, 10, 2, 2, 2, 2, 2, 2, 2, 9, 6, 2, 2, 10, 10, 2, 1, 1, 10, 10, 2, 10, 6, 1, 2, 10, 2, 1, 1, 2, 6, 1, 10, 2, 6, 10, 10, 1, 1, 1, 1, 2, 10, 6, 10, 2, 1, 1, 2, 10, 1, 10, 10, 1, 1, 10, 10, 6, 1, 6, 10, 5, 10, 2, 2, 10, 10, 10, 6, 10, 10, 6, 1, 6, 10, 6, 2, 1, 1, 2, 10, 2, 6, 10, 1, 1, 1, 10, 2, 6, 6, 6, 10, 6, 10, 6, 10, 10, 2, 10, 6, 1, 1, 2, 10, 10, 10, 1, 1, 4, 1, 6, 2, 10, 6, 6, 1, 2, 1, 6, 2, 10, 6, 2, 6, 10, 2, 6, 6, 2, 1, 1, 2, 10, 1, 10, 2, 6, 2, 2, 10, 6, 2, 2, 10, 1, 10, 1, 1, 10, 6, 1, 6, 10, 6, 2, 2, 1, 10, 10, 10, 1, 1, 2, 4, 2, 10, 6, 6, 6, 6, 10, 6, 10, 2, 6, 6, 6, 6, 10, 2, 10, 2, 4, 10, 1, 10, 10, 1, 1, 1, 10, 10, 10, 10, 10, 2, 6, 6, 1, 1, 10, 1, 2, 6, 2, 10, 10, 2, 6, 10, 1, 1, 6, 6, 10, 1, 2, 1, 6, 10, 2, 6, 10, 6, 1, 2, 10, 6, 1, 1, 6, 2, 1, 10, 10, 2, 2, 10, 6, 1, 10, 10, 10, 1, 10, 9, 6, 10, 6, 1, 2, 1, 6, 9, 10, 1, 10, 1, 6, 1, 10, 6, 10, 10, 6, 2, 2, 1, 10, 6, 2, 4, 2, 1, 1, 2, 6, 1, 5, 10, 6, 2, 10, 1, 1, 1, 1, 1, 1, 2, 6, 6, 2, 1, 1, 1, 1, 6, 10, 1, 2, 10, 6, 10, 10, 2, 2, 2, 2, 2, 10, 6, 6, 10, 6, 6, 2, 10, 6, 10, 10, 10, 10, 1, 1, 2, 2, 6, 1, 2, 1, 10, 10, 10, 1, 1, 2, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 2, 2, 2, 10, 4, 2, 10, 2, 10, 6, 1, 6, 6, 10, 6, 6, 2, 6, 6, 2, 2, 10, 1, 6, 2, 6, 2, 1, 10, 6, 10, 1, 10, 10, 6, 2, 2, 6, 1, 6, 6, 2, 6, 1, 2, 2, 2, 6, 1, 10, 1, 2, 1, 6, 10, 9, 1, 1, 9, 6, 6, 2, 6, 1, 1, 6, 2, 1, 10, 1, 1, 4, 2, 2, 10, 10, 6, 2, 6, 1, 1, 6, 1, 2, 2, 2, 2, 2, 6, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 10, 2, 1, 10, 2, 10, 6, 2, 5, 10, 2, 1, 2, 1, 2, 6, 1, 2, 6, 10, 1, 2, 2, 6, 5, 2, 6, 2, 6, 6, 1, 10, 10, 6, 2, 10, 10, 10, 10, 2, 6, 2, 2, 6, 1, 10, 1, 1, 1, 10, 2, 10, 2, 10, 6, 1, 10, 10, 6, 10, 2, 6, 6, 10, 2, 2, 10, 2, 6, 1, 6, 10, 10, 6, 2, 2, 4, 6, 10, 6, 1, 1, 6, 1, 6, 6, 1, 2, 10, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 10, 1, 1, 6, 6, 1, 10, 1, 6, 10, 6, 6, 1, 6, 2, 10, 10, 2, 2, 6, 10, 6, 1, 10, 2, 1, 2, 10, 2, 6, 6, 6, 2, 2, 2, 6, 2, 1, 10, 10, 2, 1, 1, 10, 2, 6, 6, 10, 6, 10, 2, 1, 10, 10, 1, 1, 1, 4, 2, 1, 1, 6, 4, 2, 6, 1, 6, 1, 1, 1, 6, 6, 1, 2, 10, 1, 4, 2, 2, 1, 10, 6, 2, 10, 9, 1, 6, 6, 6, 1, 2, 2, 1, 6, 1, 10, 2, 1, 2, 1, 6, 6, 1, 2, 7, 4, 6, 1, 10, 10, 2, 6, 10, 10, 6, 1, 1, 2, 1, 6, 10, 2, 9, 6, 1, 2, 10, 10, 6, 6, 1, 2, 2, 10, 6, 2, 2, 1, 2, 2, 6, 10, 10, 2, 10, 1, 1, 6, 1, 9, 6, 1, 6, 6, 6, 2, 2, 10, 1, 10, 1, 10, 1, 2, 10, 9, 10, 6, 10, 6, 2, 6, 10, 1, 1, 10, 2, 1, 1, 6, 10, 6, 6, 6, 1, 2, 9, 2, 10, 1, 6, 10, 1, 1, 6, 6, 6, 10, 10, 10, 2, 1, 2, 10, 2, 2, 2, 10, 10, 6, 2, 1, 2, 6, 6, 10, 10, 1, 6, 10, 10, 2, 2, 6, 10, 10, 2, 2, 2, 6, 2, 6, 1, 2, 10, 2, 10, 1, 2, 10, 6, 6, 1, 6, 2, 6, 1, 10, 10, 10, 10, 10, 7, 6, 2, 6, 6, 10, 1, 10, 1, 1, 10, 1, 10, 1, 2, 2, 10, 10, 2, 1, 10, 10, 1, 2, 6, 1, 6, 1, 10, 2, 1, 10, 1, 2, 10, 10, 2, 1, 6, 10, 6, 10, 1, 2, 2, 6, 6, 10, 6, 2, 1, 1, 2, 1, 1, 10, 6, 0, 2, 6, 1, 1, 10, 2, 2, 6, 6, 1, 6, 10, 10, 2, 2, 0, 6, 9, 10, 2, 1, 2, 2, 10, 1, 2, 1, 10, 2, 2, 10, 1, 1, 1, 1, 10, 6, 1, 10, 6, 9, 10, 2, 6, 10, 1, 1, 2, 10, 10, 10, 1, 1, 1, 2, 1, 6, 6, 1, 6, 2, 10, 1, 10, 1, 6, 1, 1, 1, 2, 2, 10, 2, 6, 6, 2, 2, 1, 1, 1, 6, 1, 10, 10, 10, 2, 2, 6, 2, 1, 10, 1, 1, 10, 10, 6, 6, 10, 2, 10, 2, 1, 10, 1, 6, 10, 2, 10, 1, 10, 10, 2, 10, 6, 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10, 10, 1, 1, 6, 2, 1, 6, 1, 1, 6, 1, 1, 6, 1, 2, 1, 6, 6, 6, 1, 10, 10, 6, 10, 1, 1, 1, 10, 6, 6, 6, 6, 2, 6, 2, 10, 10, 2, 10, 9, 10, 2, 2, 10, 1, 2, 2, 2, 2, 2, 10, 10, 2, 10, 1, 2, 6, 2, 10, 10, 6, 10, 6, 6, 10, 1, 10, 10, 6, 10, 10, 2, 6, 2, 10, 1, 6, 10, 10, 10, 4, 10, 0, 1, 1, 2, 6, 2, 6, 10, 1, 10, 2, 10, 1, 10, 1, 1, 6, 1, 6, 1, 1, 10, 1, 2, 10, 10, 1, 6, 6, 10, 6, 6, 6, 6, 1, 6, 10, 1, 1, 10, 2, 2, 6, 10, 2, 2, 10, 10, 50, 4, 10, 6, 10, 2, 6, 1, 2, 2, 1, 6, 6, 10, 1, 1, 1, 2, 10, 2, 10, 6, 2, 2, 1, 6, 10, 1, 1, 6, 6, 1, 1, 1, 1, 1, 6, 2, 1, 10, 6, 2, 2, 2, 6, 6, 10, 1, 2, 10, 10, 2, 1, 2, 6, 2, 10, 10, 1, 1, 6, 6, 6, 2, 1, 1, 6, 2, 1, 6, 10, 2, 2, 1, 10, 2, 1, 10, 1, 10, 10, 10, 10, 6, 2, 6, 6, 6, 10, 6, 6, 5, 1, 6, 1, 2, 9, 10, 2, 1, 2, 6, 1, 1, 10, 2, 6, 10, 2, 10, 2, 10, 6, 10, 2, 1, 10, 10, 1, 6, 2, 1, 1, 1, 6, 6, 1, 10, 2, 10, 2, 1, 1, 10, 10, 2, 10, 1, 2, 1, 1, 6, 2, 6, 2, 10, 2, 2, 6, 10, 10, 6, 6, 10, 1, 0, 6, 2, 6, 1, 10, 1, 1, 1, 6, 6, 2, 10, 10, 10, 2, 6, 10, 6, 6, 10, 10, 2, 2, 6, 2, 1, 1, 6, 1, 1, 10, 2, 2, 10, 2, 2, 1, 6, 6, 10, 6, 1, 6, 10, 2, 10, 6, 1, 10, 2, 10, 6, 1, 10, 1, 2, 10, 6, 10, 6, 5, 1, 6, 2, 6, 0, 9, 10, 6, 6, 6, 1, 6, 6, 1, 1, 1, 6, 10, 2, 2, 6, 1, 1, 6, 2, 2, 2, 1, 10, 2, 6, 10, 2, 2, 1, 4, 6, 1, 10, 2, 10, 10, 6, 10, 1, 6, 1, 1, 10, 10, 1, 6, 4, 2, 6, 1, 2, 6, 1, 6, 6, 10, 6, 1, 1, 10, 1, 1, 6, 2, 1, 6, 10, 2, 6, 1, 2, 10, 2, 10, 1, 2, 6, 1, 1, 1, 6, 2, 6, 1, 10, 10, 2, 6, 6, 1, 10, 1, 9, 6, 1, 10, 5, 1, 10, 10, 1, 10, 1, 6, 10, 4, 2, 6, 2, 1, 1, 10, 1, 10, 6, 2, 1, 2, 2, 10, 6, 10, 2, 1, 2, 1, 1, 2, 2, 2, 6, 6, 2, 2, 6, 6, 2, 1, 2, 10, 1, 10, 10, 10, 6, 6, 1, 6, 2, 1, 6, 5, 1, 10, 10, 6, 6, 1, 1, 6, 1, 10, 1, 6, 10, 10, 2, 1, 10, 10, 10, 2, 6, 6, 1, 10, 9, 1, 2, 5, 2, 10, 2, 2, 10, 10, 1, 10, 10, 2, 2, 1, 2, 6, 1, 1, 6, 6, 2, 1, 6, 10, 2, 10, 1, 10, 1, 6, 6, 2, 10, 0, 6, 6, 10, 1, 1, 2, 2, 2, 1, 10, 2, 10, 6, 6, 2, 6, 2, 6, 2, 6, 1, 10, 2, 10, 2, 2, 2, 10, 1, 2, 1, 1, 2, 0, 6, 10, 10, 2, 10, 6, 0, 2, 6, 9, 2, 2, 1, 2, 1, 10, 1, 2, 1, 10, 1, 6, 10, 1, 6, 1, 10, 6, 1, 2, 6, 1, 1, 6, 10, 5, 6, 5, 0, 1, 10, 6, 2, 1, 6, 1, 1, 5, 1, 6, 9, 6, 1, 10, 2, 10, 10, 1, 2, 2, 6, 10, 6, 6, 10, 6, 10, 1, 6, 1, 6, 1, 1, 6, 6, 2, 10, 6, 1, 10, 6, 10, 1, 1, 6, 6, 1, 1, 10, 1, 2, 1, 1, 1, 2, 6, 6, 6, 2, 1, 10, 10, 1, 6, 2, 2, 6, 10, 6, 5, 2, 6, 6, 1, 2, 6, 1, 1, 1, 2, 2, 6, 1, 6, 2, 1, 6, 10, 2, 2, 1, 1, 10, 1, 6, 10, 10, 10, 10, 10, 1, 1, 1, 1, 10, 1, 10, 1, 1, 10, 6, 1, 10, 10, 6, 6, 10, 2, 10, 2, 1, 2, 10, 6, 2, 6, 10, 6, 10, 1, 1, 6, 1, 0, 1, 5, 1, 6, 6, 1, 2, 1, 1, 2, 9, 2, 6, 10, 6, 10, 2, 1, 1, 6, 10, 2, 6, 6, 6, 6, 1, 6, 6, 6, 2, 10, 2, 2, 6, 10, 5, 6, 2, 2, 6, 10, 2, 10, 1, 1, 2, 10, 10, 1, 10, 10, 0, 2, 10, 1, 6, 10, 2, 10, 10, 10, 10, 1, 1, 1, 10, 1, 2, 2, 2, 6, 10, 1, 2, 2, 2, 1, 2, 10, 10, 0, 6, 6, 1, 6, 6, 1, 2, 1, 2, 6, 1, 1, 10, 6, 1, 1, 10, 10, 1, 6, 2, 10, 2, 6, 6, 2, 2, 10, 2, 6, 10, 2, 2, 10, 2, 6, 10, 2, 10, 1, 6, 10, 10, 2, 2, 1, 6, 2, 10, 2, 6, 1, 2, 10, 6, 1, 10, 10, 1, 1, 1, 1, 10, 6, 6, 0, 1, 2, 6, 10, 6, 6, 1, 1, 2, 10, 10, 1, 6, 6, 2, 2, 6, 1, 1, 10, 2, 6, 6, 1, 6, 6, 6, 2, 2, 1, 2, 10, 2, 6, 10, 10, 10, 6, 6, 10, 1, 2, 1, 6, 10, 1, 1, 6, 2, 2, 10, 6, 2, 1, 1, 10, 6, 4, 10, 10, 2, 2, 10, 0, 6, 2, 10, 10, 10, 2, 10, 2, 1, 1, 6, 1, 1, 1, 1, 10, 10, 2, 10, 1, 2, 2, 6, 6, 2, 1, 6, 6, 6, 1, 10, 6, 1, 10, 1, 1, 6, 6, 0, 10, 2, 10, 10, 1, 2, 2, 5, 2, 6, 10, 1, 2, 1, 2, 1, 10, 6, 10, 1, 10, 2, 2, 1, 6, 10, 10, 6, 9, 5, 1, 2, 1, 2, 10, 2, 1, 10, 2, 6, 10, 10, 1, 10, 1, 10, 6, 2, 6, 9, 2, 6, 1, 1, 2, 1, 10, 2, 10, 1, 6, 2, 10, 1, 1, 6, 10, 10, 2, 6, 6, 6, 2, 1, 2, 2, 2, 10, 10, 6, 1, 2, 6, 1, 2, 10, 6, 1, 2, 6, 1, 10, 10, 2, 6, 10, 10, 1, 2, 6, 1, 10, 6, 10, 10, 2, 2, 10, 2, 6, 10, 1, 1, 2, 1, 1, 2, 2, 2, 2, 6, 6, 6, 6, 10, 2, 6, 6, 6, 6, 2, 2, 2, 1, 6, 10, 1, 6, 2, 6, 1, 10, 1, 6, 1, 1, 1, 0, 6, 10, 10, 6, 6, 6, 1, 2, 10, 1, 6, 1, 10, 2, 1, 2, 1, 6, 10, 1, 6, 2, 1, 6, 1, 6, 6, 2, 6, 6, 6, 6, 6, 1, 1, 10, 2, 6, 1, 2, 6, 1, 6, 1, 2, 6, 10, 10, 1, 10, 2, 6, 6, 10, 1, 10, 10, 2, 10, 10, 1, 10, 2, 2, 6, 10, 6, 1, 10, 1, 2, 10, 10, 6, 10, 2, 4, 2, 2, 1, 2, 6, 6, 1, 6, 10, 10, 1, 10, 1, 10, 6, 2, 1, 2, 1, 6, 6, 10, 6, 1, 2, 1, 2, 2, 6, 2, 2, 2, 1, 2, 2, 2, 2, 10, 10, 10, 10, 1, 2, 6, 6, 1, 6, 1, 2, 10, 4, 2, 6, 6, 1, 10, 1, 2, 2, 10, 6, 1, 2, 9, 2, 6, 10, 2, 10, 10, 0, 2, 2, 6, 10, 10, 2, 0, 1, 2, 1, 2, 2, 6, 2, 6, 60, 1, 2, 1, 6, 2, 1, 10, 10, 2, 6, 6, 10, 1, 2, 2, 2, 10, 2, 10, 10, 2, 2, 1, 1, 1, 2, 1, 10, 6, 10, 10, 10, 6, 2, 1, 10, 1, 6, 2, 6, 10, 6, 10, 2, 1, 1, 2, 1, 10, 6, 1, 1, 1, 1, 2, 1, 6, 6, 6, 10, 2, 6, 6, 1, 1, 1, 6, 2, 6, 6, 1, 6, 1, 2, 1, 2, 1, 1, 6, 10, 2, 1, 4, 6, 1, 6, 2, 2, 2, 6, 1, 2, 6, 1, 1, 6, 1, 2, 6, 1, 2, 6, 6, 10, 1, 1, 10, 4, 6, 1, 1, 6, 10, 10, 6, 1, 10, 1, 6, 6, 1, 6, 6, 1, 6, 6, 6, 10, 10, 1, 2, 2, 1, 2, 1, 10, 1, 2, 10, 6, 1, 6, 2, 6, 1, 1, 2, 6, 6, 6, 1, 6, 10, 1, 1, 6, 2, 1, 2, 10, 2, 6, 10, 6, 10, 1, 1, 6, 6, 1, 1, 6, 10, 10, 2, 1, 10, 6, 10, 2, 2, 10, 1, 2, 1, 1, 2, 2, 2, 10, 6, 6, 1, 6, 9, 10, 6, 1, 2, 2, 10, 6, 6, 6, 10, 6, 2, 1, 2, 10, 6, 1, 10, 2, 6, 6, 10, 10, 1, 10, 6, 10, 1, 6, 10, 6, 6, 10, 5, 10, 1, 6, 1, 1, 2, 1, 6, 6, 2, 1, 6, 2, 6, 1, 10, 1, 1, 2, 6, 10, 10, 10, 10, 10, 1, 1, 2, 10, 1, 2, 6, 10, 6, 6, 10, 2, 1, 1, 2, 6, 6, 6, 6, 10, 6, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 10, 6, 10, 6, 2, 10, 2, 1, 10, 2, 2, 10, 6, 6, 2, 6, 10, 1, 6, 10, 1, 6, 1, 1, 1, 6, 1, 2, 2, 6, 6, 1, 9, 1, 2, 1, 1, 1, 6, 6, 6, 2, 1, 1, 2, 6, 6, 2, 1, 5, 10, 6, 6, 10, 1, 1, 1, 2, 2, 1, 6, 1, 1, 10, 1, 2, 2, 6, 2, 9, 1, 2, 6, 2, 1, 4, 1, 2, 1, 2, 6, 6, 1, 1, 2, 10, 6, 10, 2, 1, 6, 2, 6, 1, 10, 6, 10, 1, 6, 2, 6, 1, 1, 1, 1, 1, 1, 10, 2, 6, 2, 6, 1, 6, 1, 10, 10, 10, 1, 2, 1, 1, 10, 6, 1, 6, 2, 2, 10, 1, 2, 6, 10, 1, 2, 2, 2, 6, 1, 6, 1, 6, 10, 10, 10, 1, 1, 2, 6, 6, 2, 2, 1, 10, 1, 10, 2, 6, 0, 6, 6, 6, 1, 2, 10, 1, 10, 6, 6, 6, 2, 0, 6, 0, 10, 1, 6, 2, 6, 6, 10, 1, 6, 1, 6, 6, 6, 10, 1, 6, 2, 10, 10, 1, 6, 10, 6, 7, 6, 6, 10, 6, 1, 6, 2, 10, 6, 1, 6, 2, 2, 1, 2, 6, 6, 6, 6, 2, 6, 6, 6, 10, 2, 6, 10, 1, 5, 2, 10, 6, 6, 10, 2, 1, 0, 10, 6, 2, 1, 1, 6, 1, 10, 6, 10, 10, 2, 10, 2, 6, 2, 1, 10, 2, 6, 6, 8, 0, 10, 2, 6, 10, 6, 10, 1, 2, 2, 1, 2, 1, 10, 6, 1, 10, 2, 10, 6, 10, 2, 2, 6, 6, 6, 4, 10, 6, 2, 6, 10, 2, 2, 1, 6, 2, 2, 10, 10, 10, 6, 2, 2, 6, 6, 2, 10, 10, 2, 2, 6, 10, 6, 2, 2, 2, 10, 2, 1, 1, 6, 1, 10, 6, 1, 6, 2, 1, 2, 1, 6, 6, 10, 1, 2, 1, 6, 1, 10, 6, 1, 1, 2, 6, 6, 1, 2, 1, 10, 1, 10, 2, 1, 1, 10, 10, 6, 2, 1, 1, 10, 6, 6, 6, 6, 10, 1, 10, 2, 2, 1, 1, 6, 2, 1, 10, 2, 10, 1, 10, 6, 6, 6, 2, 1, 6, 2, 1, 1, 10, 1, 6, 10, 10, 6, 6, 6, 1, 2, 6, 1, 10, 10, 1, 2, 2, 1, 2, 6, 6, 1, 6, 2, 0, 6, 10, 2, 6, 2, 6, 1, 1, 1, 9, 6, 10, 1, 2, 1, 6, 1, 1, 5, 2, 1, 2, 10, 10, 10, 1, 6, 2, 2, 6, 2, 2, 1, 5, 0, 6, 6, 6, 2, 6, 6, 10, 2, 2, 2, 1, 10, 10, 5, 10, 10, 10, 10, 1, 4, 10, 10, 1, 6, 10, 2, 6, 9, 6, 10, 6, 10, 10, 1, 6, 6, 10, 2, 6, 2, 10, 2, 1, 2, 10, 6, 6, 1, 1, 50, 2, 10, 1, 2, 1, 2, 6, 1, 1, 1, 1, 2, 10, 1, 1, 2, 1, 2, 1, 6, 10, 1, 10, 2, 1, 10, 10, 10, 1, 10, 6, 10, 6, 10, 6, 6, 10, 2, 6, 6, 10, 6, 6, 10, 10, 4, 6, 10, 6, 10, 6, 4, 2, 4, 1, 2, 10, 10, 6, 1, 10, 6, 10, 10, 1, 10, 6, 60, 10, 10, 2, 6, 6, 10, 2, 10, 6, 9, 1, 6, 2, 6, 10, 10, 6, 1, 2, 2, 6, 2, 1, 1, 10, 6, 2, 1, 10, 2, 2, 2, 10, 2, 2, 1, 1, 10, 2, 10, 6, 10, 1, 2, 1, 1, 2, 1, 2, 10, 6, 10, 10, 1, 1, 10, 6, 1, 6, 2, 1, 1, 6, 1, 1, 2, 6, 10, 1, 1, 6, 10, 2, 2, 1, 10, 10, 10, 6, 10, 6, 2, 2, 10, 6, 1, 2, 10, 6, 1, 1, 1, 6, 6, 6, 6, 2, 2, 1, 6, 6, 10, 10, 10, 10, 10, 1, 10, 1, 2, 6, 10, 2, 6, 10, 10, 6, 10, 2, 10, 2, 2, 2, 2, 6, 1, 6, 2, 6, 10, 2, 6, 2, 6, 2, 1, 6, 6, 1, 0, 2, 6, 10, 2, 10, 2, 1, 2, 6, 10, 10, 10, 6, 1, 2, 2, 2, 2, 6, 2, 1, 1, 6, 6, 6, 10, 10, 2, 2, 2, 6, 10, 6, 6, 6, 10, 2, 2, 1, 1, 10, 10, 10, 10, 10, 6, 6, 1, 1, 6, 1, 1, 10, 1, 6, 6, 1, 6, 10, 6, 10, 2, 10, 2, 1, 6, 10, 10, 0, 10, 1, 10, 2, 2, 1, 2, 2, 6, 2, 1, 10, 2, 10, 2, 1, 6, 2, 2, 2, 1, 2, 6, 2, 2, 5, 6, 1, 10, 2, 2, 10, 1, 10, 2, 6, 2, 2, 2, 10, 1, 6, 1, 10, 10, 1, 2, 1, 10, 1, 6, 6, 10, 10, 2, 6, 2, 1, 1, 10, 10, 10, 1, 10, 1, 6, 2, 2, 1, 10, 10, 2, 2, 1, 2, 10, 10, 1, 0, 6, 2, 10, 10, 6, 10, 10, 2, 6, 1, 6, 6, 10, 1, 2, 1, 2, 2, 6, 6, 10, 6, 2, 6, 1, 2, 2, 2, 6, 10, 10, 2, 10, 2, 1, 1, 2, 10, 6, 10, 6, 10, 10, 10, 10, 0, 10, 6, 1, 2, 10, 1, 10, 6, 2, 10, 6, 1, 6, 6, 2, 2, 2, 1, 0, 2, 1, 2, 10, 1, 6, 6, 1, 1, 1, 10, 6, 6, 9, 6, 6, 2, 10, 10, 6, 10, 6, 6, 1, 6, 6, 5, 2, 10, 2, 10, 1, 10, 1, 10, 2, 6, 2, 10, 6, 2, 1, 10, 6, 10, 10, 1, 10, 1, 10, 6, 2, 6, 10, 1, 6, 2, 1, 6, 6, 10, 10, 1, 2, 2, 2, 10, 6, 2, 6, 10, 10, 2, 10, 1, 10, 10, 10, 2, 10, 1, 6, 10, 6, 1, 6, 1, 1, 1, 6, 10, 6, 2, 10, 1, 2, 1, 2, 1, 10, 1, 10, 1, 1, 2, 6, 2, 10, 1, 2, 1, 6, 10, 10, 2, 6, 2, 1, 2, 9, 1, 2, 6, 6, 10, 10, 2, 10, 1, 10, 0, 2, 2, 10, 2, 2, 1, 10, 10, 1, 6, 10, 10, 6, 6, 1, 10, 2, 6, 6, 6, 1, 10, 6, 1, 1, 6, 10, 2, 2, 10, 2, 1, 2, 10, 6, 2, 2, 1, 10, 1, 10, 10, 2, 6, 1, 6, 2, 6, 1, 2, 10, 2, 1, 2, 2, 1, 6, 6, 2, 2, 2, 10, 1, 6, 1, 2, 1, 6, 2, 10, 2, 2, 2, 1, 1, 2, 1, 9, 10, 1, 1, 1, 6, 6, 1, 10, 10, 10, 2, 1, 6, 2, 6, 10, 1, 6, 1, 10, 10, 2, 2, 6, 6, 6, 10, 1, 2, 2, 2, 10, 1, 10, 1, 10, 10, 10, 1, 10, 6, 6, 10, 10, 1, 1, 1, 1, 1, 6, 6, 10, 1, 0, 10, 6, 1, 10, 1, 10, 10, 2, 10, 6, 10, 6, 10, 1, 2, 2, 1, 2, 10, 10, 10, 2, 1, 1, 2, 10, 10, 10, 6, 2, 6, 10, 2, 1, 2, 6, 6, 2, 10, 1, 10, 10, 6, 6, 10, 1, 1, 6, 2, 10, 10, 2, 6, 6, 6, 6, 10, 2, 1, 6, 2, 1, 6, 10, 2, 2, 1, 10, 1, 10, 10, 6, 6, 10, 10, 2, 1, 10, 2, 10, 2, 2, 2, 10, 10, 2, 6, 10, 6, 2, 10, 1, 1, 10, 9, 6, 10, 10, 6, 6, 1, 1, 10, 2, 10, 1, 10, 0, 1, 6, 10, 10, 2, 10, 1, 6, 10, 2, 1, 2, 2, 6, 2, 1, 6, 10, 1, 1, 6, 1, 2, 1, 10, 10, 10, 2, 1, 10, 0, 6, 2, 1, 10, 2, 6, 1, 2, 1, 1, 2, 10, 1, 6, 2, 10, 6, 10, 10, 2, 1, 2, 10, 1, 2, 6, 4, 1, 1, 2, 6, 10, 10, 6, 6, 1, 6, 6, 6, 2, 10, 6, 1, 1, 10, 1, 2, 2, 10, 6, 1, 10, 2, 10, 1, 10, 2, 6, 1, 2, 6, 6, 10, 2, 10, 2, 6, 6, 2, 6, 6, 1, 1, 6, 2, 0, 1, 1, 6, 6, 2, 2, 1, 1, 2, 2, 10, 1, 1, 10, 6, 1, 6, 2, 2, 6, 2, 10, 6, 1, 10, 1, 1, 2, 6, 6, 2, 1, 6, 6, 1, 6, 1, 10, 1, 6, 1, 6, 10, 6, 2, 2, 2, 6, 6, 2, 2, 6, 2, 10, 1, 6, 10, 2, 10, 2, 2, 1, 10, 10, 2, 1, 1, 1, 6, 2, 10, 10, 6, 6, 2, 10, 1, 6, 1, 10, 1, 6, 6, 2, 6, 10, 2, 2, 2, 2, 1, 1, 10, 2, 1, 6, 1, 10, 1, 10, 2, 1, 1, 6, 2, 6, 10, 2, 6, 2, 10, 6, 2, 2, 1, 10, 1, 6, 6, 10, 2, 6, 10, 2, 1, 2, 10, 2, 1, 6, 1, 2, 1, 2, 1, 6, 1, 1, 2, 10, 1, 10, 10, 1, 10, 10, 1, 10, 2, 2, 1, 1, 6, 10, 2, 2, 6, 10, 10, 10, 2, 2, 6, 1, 6, 2, 1, 1, 1, 6, 10, 10, 1, 6, 10, 2, 10, 6, 10, 2, 2, 2, 1, 1, 10, 10, 6, 2, 10, 10, 2, 10, 6, 2, 2, 2, 6, 6, 1, 10, 2, 10, 1, 1, 1, 2, 6, 2, 10, 10, 1, 1, 6, 6, 10, 1, 10, 10, 2, 10, 2, 9, 1, 2, 2, 1, 2, 1, 10, 2, 6, 6, 1, 1, 6, 6, 2, 6, 2, 1, 6, 1, 1, 10, 6, 2, 2, 10, 2, 2, 2, 1, 10, 10, 2, 6, 1, 6, 1, 1, 1, 1, 2, 1, 9, 1, 1, 6, 10, 2, 10, 2, 2, 2, 6, 2, 1, 2, 10, 6, 1, 2, 6, 6, 6, 1, 6, 10, 6, 6, 6, 1, 1, 1, 2, 1, 2, 1, 6, 1, 2, 4, 4, 1, 1, 6, 1, 2, 10, 1, 2, 2, 6, 2, 6, 2, 2, 6, 2, 6, 2, 1, 2, 6, 10, 6, 1, 2, 10, 2, 6, 10, 1, 2, 2, 10, 2, 1, 2, 2, 10, 2, 6, 1, 1, 9, 10, 10, 5, 2, 6, 1, 10, 6, 2, 6, 6, 2, 2, 10, 6, 10, 6, 2, 6, 2, 10, 1, 6, 10, 6, 6, 2, 6, 10, 2, 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10, 1, 0, 2, 2, 2, 2, 9, 10, 6, 1, 6, 10, 1, 10, 1, 6, 10, 1, 10, 6, 2, 1, 10, 6, 10, 10, 10, 2, 10, 10, 6, 2, 10, 10, 1, 5, 1, 2, 1, 2, 6, 4, 10, 1, 1, 5, 10, 6, 10, 1, 5, 10, 6, 10, 1, 2, 2, 10, 1, 1, 10, 1, 10, 0, 1, 6, 1, 1, 2, 2, 10, 5, 10, 2, 1, 1, 6, 2, 1, 10, 1, 10, 1, 6, 1, 10, 10, 6, 6, 6, 6, 6, 2, 10, 6, 1, 6, 10, 1, 10, 6, 6, 10, 2, 6, 6, 2, 2, 10, 3, 6, 1, 10, 10, 10, 6, 10, 6, 10, 1, 5, 1, 10, 2, 6, 10, 1, 10, 6, 6, 2, 2, 10, 1, 1, 10, 6, 6, 6, 2, 2, 6, 2, 10, 6, 10, 6, 6, 10, 10, 10, 6, 1, 2, 2, 1, 9, 10, 10, 2, 1, 2, 6, 2, 6, 1, 1, 2, 6, 2, 2, 1, 2, 1, 2, 1, 6, 1, 10, 1, 1, 1, 6, 10, 10, 1, 1, 10, 1, 2, 9, 6, 1, 1, 6, 10, 2, 2, 2, 6, 6, 2, 2, 2, 2, 2, 10, 1, 10, 10, 1, 2, 2, 2, 2, 2, 2, 1, 1, 6, 10, 6, 1, 6, 10, 6, 10, 6, 1, 2, 10, 4, 6, 10, 10, 2, 2, 1, 1, 10, 0, 2, 2, 2, 2, 2, 2, 2, 1, 6, 0, 10, 10, 2, 6, 10, 1, 2, 2, 1, 6, 1, 1, 6, 2, 6, 2, 6, 1, 2, 1, 6, 2, 6, 10, 1, 6, 6, 2, 6, 10, 0, 6, 10, 1, 9, 10, 2, 2, 1, 10, 2, 1, 2, 2, 10, 1, 1, 6, 8, 6, 10, 2, 6, 6, 6, 2, 10, 6, 10, 4, 6, 2, 6, 1, 10, 6, 10, 10, 10, 2, 10, 6, 10, 2, 6, 6, 1, 6, 2, 10, 2, 10, 6, 6, 1, 6, 10, 1, 6, 2, 10, 0, 10, 6, 2, 1, 6, 1, 6, 6, 2, 2, 2, 1, 1, 1, 10, 6, 2, 2, 10, 1, 6, 10, 1, 2, 1, 1, 6, 6, 2, 1, 1, 6, 1, 2, 2, 10, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 10, 2, 1, 6, 1, 6, 6, 1, 10, 6, 2, 6, 6, 1, 1, 1, 1, 10, 2, 10, 6, 10, 2, 1, 6, 9, 2, 10, 2, 2, 2, 2, 2, 10, 10, 2, 6, 2, 6, 6, 2, 10, 10, 6, 2, 2, 2, 6, 10, 6, 6, 2, 2, 1, 10, 2, 6, 2, 6, 2, 2, 1, 10, 1, 2, 6, 1, 1, 2, 1, 2, 10, 2, 10, 10, 10, 2, 1, 6, 2, 6, 10, 2, 1, 6, 10, 10, 4, 2, 10, 10, 10, 2, 0, 2, 2, 10, 2, 2, 2, 6, 1, 2, 1, 10, 1, 10, 2, 1, 2, 2, 6, 2, 2, 10, 2, 10, 2, 10, 1, 2, 4, 1, 10, 2, 6, 10, 10, 2, 10, 2, 6, 10, 6, 2, 1, 2, 1, 2, 10, 10, 10, 2, 10, 1, 6, 2, 2, 1, 10, 6, 1, 1, 2, 6, 2, 6, 10, 2, 6, 2, 2, 10, 1, 2, 2, 1, 2, 6, 2, 1, 6, 2, 2, 10, 1, 2, 6, 1, 2, 2, 2, 2, 1, 6, 1, 2, 6, 2, 1, 6, 10, 6, 1, 1, 2, 10, 6, 10, 2, 2, 10, 6, 1, 2, 6, 9, 6, 10, 1, 10, 10, 1, 2, 6, 10, 10, 4, 1, 6, 2, 10, 6, 6, 1, 1, 6, 10, 1, 10, 6, 2, 9, 6, 6, 10, 2, 1, 1, 1, 10, 1, 1, 10, 1, 10, 2, 1, 1, 2, 1, 2, 6, 6, 2, 2, 10, 6, 2, 6, 2, 1, 5, 2, 2, 1, 1, 1, 10, 10, 10, 2, 1, 6, 10, 2, 10, 2, 2, 1, 1, 2, 10, 2, 1, 6, 6, 10, 1, 10, 2, 10, 1, 10, 2, 2, 1, 1, 0, 1, 6, 6, 6, 6, 6, 1, 2, 1, 1, 2, 1, 6, 2, 1, 10, 6, 1, 10, 1, 1, 2, 10, 6, 1, 10, 6, 6, 2, 1, 10, 10, 2, 2, 2, 1, 6, 1, 2, 10, 5, 10, 6, 1, 6, 8, 2, 6, 1, 6, 2, 10, 2, 2, 2, 6, 2, 2, 1, 6, 10, 2, 2, 1, 1, 2, 10, 1, 6, 10, 1, 6, 2, 6, 6, 2, 10, 1, 1, 1, 1, 6, 1, 10, 1, 1, 1, 6, 6, 1, 10, 1, 10, 6, 2, 6, 6, 10, 1, 6, 10, 2, 1, 2, 10, 6, 10, 2, 10, 10, 6, 10, 1, 10, 2, 2, 10, 10, 6, 6, 4, 6, 10, 2, 2, 1, 10, 1, 6, 2, 1, 1, 2, 9, 2, 2, 6, 2, 2, 2, 1, 1, 10, 10, 10, 6, 6, 6, 6, 6, 10, 2, 10, 6, 1, 6, 2, 10, 6, 2, 6, 1, 2, 6, 6, 6, 6, 10, 0, 10, 2, 6, 6, 6, 1, 10, 10, 2, 2, 1, 2, 6, 1, 6, 10, 1, 10, 2, 6, 0, 10, 6, 5, 1, 1, 2, 6, 1, 9, 4, 6, 10, 2, 1, 6, 10, 10, 2, 2, 1, 2, 10, 10, 2, 2, 6, 6, 10, 10, 1, 10, 10, 10, 2, 2, 2, 2, 6, 6, 6, 2, 10, 2, 1, 1, 6, 2, 2, 0, 9, 6, 1, 2, 2, 4, 10, 10, 6, 1, 2, 10, 6, 2, 6, 2, 10, 1, 1, 10, 1, 10, 10, 10, 6, 2, 10, 10, 1, 6, 6, 6, 6, 10, 10, 1, 4, 2, 10, 1, 1, 6, 6, 10, 1, 2, 6, 1, 10, 1, 10, 9, 2, 10, 10, 10, 10, 10, 6, 1, 6, 6, 6, 10, 1, 1, 10, 1, 2, 10, 1, 10, 10, 1, 6, 10, 2, 1, 6, 1, 10, 2, 6, 10, 6, 10, 1, 2, 6, 1, 10, 10, 2, 9, 6, 1, 2, 2, 10, 2, 2, 6, 1, 1, 1, 6, 2, 6, 1, 10, 10, 6, 6, 2, 2, 2, 1, 6, 4, 6, 10, 2, 2, 1, 1, 6, 2, 1, 10, 10, 10, 6, 1, 2, 2, 6, 10, 1, 6, 2, 10, 1, 10, 2, 1, 2, 6, 1, 10, 6, 2, 1, 10, 6, 2, 10, 1, 10, 1, 1, 1, 1, 6, 10, 10, 6, 6, 10, 1, 1, 2, 1, 1, 1, 2, 10, 2, 1, 2, 6, 6, 10, 2, 10, 2, 6, 2, 6, 10, 10, 6, 1, 10, 10, 1, 6, 2, 10, 1, 10, 6, 6, 2, 10, 2, 10, 1, 1, 1, 10, 6, 2, 10, 1, 1, 10, 6, 2, 1, 2, 6, 1, 9, 2, 5, 2, 1, 2, 6, 6, 6, 1, 6, 2, 10, 6, 2, 10, 10, 2, 2, 6, 1, 1, 10, 6, 1, 1, 6, 1, 10, 2, 6, 1, 6, 10, 1, 6, 2, 2, 6, 9, 10, 10, 1, 2, 1, 10, 1, 2, 6, 10, 1, 10, 6, 2, 1, 1, 6, 1, 1, 1, 10, 1, 10, 10, 1, 6, 10, 1, 2, 1, 1, 10, 10, 6, 6, 10, 6, 2, 10, 10, 10, 4, 2, 2, 10, 10, 10, 2, 6, 10, 6, 1, 1, 1, 2, 6, 1, 10, 6, 1, 1, 6, 1, 2, 1, 2, 2, 10, 6, 6, 10, 10, 10, 1, 6, 6, 2, 6, 10, 1, 1, 2, 6, 1, 6, 1, 10, 6, 10, 2, 6, 1, 2, 1, 10, 2, 6, 1, 10, 1, 1, 2, 0, 2, 1, 1, 10, 10, 6, 1, 1, 10, 6, 2, 2, 6, 10, 0, 10, 1, 2, 2, 10, 10, 1, 10, 10, 6, 6, 1, 10, 2, 2, 1, 2, 1, 2, 6, 2, 6, 6, 2, 2, 10, 2, 2, 6, 6, 10, 6, 2, 2, 6, 1, 10, 1, 10, 10, 6, 10, 10, 10, 2, 10, 1, 10, 10, 1, 1, 6, 10, 2, 2, 1, 2, 1, 10, 2, 10, 1, 1, 2, 10, 2, 10, 1, 1, 10, 2, 10, 2, 6, 5, 1, 6, 6, 6, 6, 2, 1, 2, 10, 1, 6, 2, 10, 6, 2, 10, 1, 6, 6, 10, 1, 6, 10, 10, 1, 1, 1, 2, 10, 6, 1, 10, 2, 10, 2, 2, 10, 1, 10, 2, 6, 10, 10, 1, 1, 2, 6, 6, 1, 6, 1, 10, 10, 1, 2, 1, 6, 10, 1, 6, 1, 1, 10, 10, 1, 6, 1, 2, 10, 1, 6, 2, 6, 2, 10, 2, 10, 10, 2, 6, 1, 2, 2, 10, 1, 1, 10, 2, 10, 10, 2, 6, 10, 6, 6, 1, 1, 1, 6, 6, 6, 6, 10, 1, 1, 6, 10, 10, 6, 2, 6, 5, 2, 0, 1, 1, 10, 10, 2, 1, 1, 10, 2, 6, 2, 10, 5, 10, 6, 6, 10, 6, 2, 6, 1, 1, 2, 1, 6, 1, 2, 2, 2, 10, 10, 10, 6, 1, 10, 1, 6, 1, 2, 2, 10, 1, 2, 6, 2, 10, 10, 1, 1, 2, 1, 10, 2, 1, 10, 2, 2, 6, 6, 2, 2, 2, 10, 2, 2, 6, 1, 10, 1, 6, 2, 10, 2, 6, 2, 6, 6, 6, 2, 1, 1, 6, 10, 1, 10, 1, 2, 2, 10, 1, 10, 10, 10, 2, 1, 10, 2, 6, 10, 9, 1, 6, 1, 2, 10, 6, 2, 1, 6, 1, 6, 10, 4, 2, 1, 2, 10, 2, 1, 6, 2, 1, 10, 1, 10, 6, 10, 2, 2, 4, 10, 2, 1, 10, 6, 1, 10, 2, 2, 1, 1, 10, 10, 1, 10, 6, 10, 1, 1, 6, 6, 6, 6, 6, 1, 6, 1, 1, 6, 1, 2, 1, 4, 1, 2, 6, 10, 10, 2, 10, 2, 10, 10, 6, 10, 10, 1, 6, 10, 10, 10, 1, 1, 6, 2, 6, 2, 1, 6, 10, 1, 1, 6, 10, 2, 6, 1, 6, 10, 10, 1, 1, 2, 6, 1, 10, 6, 6, 1, 6, 2, 2, 2, 10, 2, 6, 10, 6, 1, 1, 10, 6, 6, 9, 2, 2, 1, 2, 6, 1, 10, 1, 2, 10, 6, 2, 6, 1, 2, 1, 10, 2, 10, 1, 1, 1, 2, 1, 6, 2, 6, 10, 6, 2, 2, 1, 1, 1, 1, 2, 10, 1, 1, 2, 6, 1, 1, 6, 2, 1, 1, 2, 10, 1, 10, 2, 6, 6, 2, 2, 6, 10, 2, 1, 1, 2, 1, 6, 10, 2, 10, 6, 10, 10, 6, 1, 6, 2, 10, 10, 1, 2, 2, 6, 2, 2, 1, 6, 10, 10, 1, 0, 2, 1, 2, 10, 1, 2, 1, 1, 6, 1, 1, 1, 2, 2, 1, 2, 2, 0, 6, 2, 1, 6, 1, 2, 10, 2, 10, 3, 1, 2, 10, 2, 2, 6, 10, 10, 6, 2, 1, 2, 6, 1, 1, 6, 1, 10, 2, 1, 10, 1, 1, 1, 1, 1, 10, 9, 10, 2, 6, 2, 10, 1, 1, 6, 1, 10, 2, 6, 2, 2, 10, 1, 10, 1, 10, 1, 1, 2, 2, 10, 10, 2, 6, 10, 1, 2, 1, 2, 2, 1, 2, 2, 2, 10, 10, 10, 2, 6, 1, 6, 10, 10, 6, 6, 5, 10, 1, 1, 6, 2, 10, 10, 10, 2, 10, 2, 6, 4, 1, 1, 2, 2, 2, 2, 1, 10, 10, 2, 1, 10, 2, 6, 10, 1, 2, 10, 6, 10, 1, 2, 6, 10, 6, 2, 6, 6, 1, 10, 10, 2, 2, 6, 6, 6, 1, 10, 1, 6, 6, 1, 1, 10, 6, 2, 2, 2, 10, 1, 6, 1, 9, 6, 2, 6, 1, 2, 10, 10, 6, 1, 2, 6, 1, 2, 1, 2, 2, 10, 6, 10, 1, 10, 10, 10, 10, 1, 2, 2, 1, 10, 10, 10, 1, 10, 1, 1, 2, 6, 1, 10, 6, 10, 10, 10, 6, 10, 6, 2, 6, 6, 6, 6, 2, 10, 2, 6, 10, 1, 2, 2, 6, 2, 10, 1, 6, 6, 10, 2, 6, 2, 2, 10, 10, 10, 1, 10, 6, 10, 10, 10, 10, 10, 2, 2, 1, 10, 1, 6, 2, 10, 1, 6, 10, 2, 6, 0, 2, 10, 10, 2, 2, 6, 6, 6, 10, 6, 1, 2, 10, 1, 5, 10, 10, 4, 1, 2, 10, 2, 10, 1, 6, 10, 10, 1, 1, 10, 10, 10, 6, 10, 2, 2, 2, 1, 2, 5, 2, 6, 6, 5, 6, 2, 6, 1, 6, 1, 2, 2, 10, 10, 2, 6, 0, 2, 10, 1, 6, 2, 2, 2, 6, 2, 2, 6, 1, 10, 1, 1, 1, 1, 1, 1, 6, 10, 2, 10, 10, 10, 2, 1, 0, 10, 1, 1, 1, 10, 10, 1, 2, 6, 6, 10, 2, 10, 1, 6, 1, 10, 10, 6, 1, 1, 1, 6, 1, 10, 10, 10, 2, 6, 6, 10, 1, 50, 1, 6, 6, 2, 1, 1, 2, 10, 1, 10, 6, 2, 6, 2, 1, 6, 5, 10, 0, 10, 1, 1, 10, 1, 1, 1, 1, 10, 10, 0, 10, 1, 2, 1, 6, 10, 1, 6, 4, 6, 2, 2, 1, 9, 2, 6, 1, 2, 0, 10, 10, 2, 1, 10, 1, 1, 10, 10, 1, 10, 10, 6, 6, 2, 2, 10, 6, 10, 1, 2, 10, 6, 10, 10, 1, 1, 10, 6, 2, 10, 1, 10, 1, 2, 2, 2, 5, 10, 1, 10, 1, 10, 2, 1, 10, 10, 6, 2, 50, 1, 1, 6, 1, 10, 6, 10, 1, 6, 1, 6, 2, 6, 6, 6, 6, 2, 10, 1, 1, 10, 6, 1, 1, 10, 1, 6, 2, 6, 6, 2, 10, 2, 1, 2, 0, 6, 6, 10, 1, 1, 1, 2, 2, 2, 2, 6, 6, 6, 2, 1, 6, 2, 2, 6, 6, 2, 2, 1, 10, 1, 2, 2, 6, 2, 2, 2, 2, 4, 10, 10, 10, 1, 6, 10, 6, 6, 6, 9, 1, 1, 2, 1, 10, 6, 2, 1, 2, 1, 1, 2, 10, 1, 6, 6, 10, 6, 6, 10, 6, 10, 10, 2, 2, 6, 1, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 6, 6, 6, 1, 2, 2, 1, 1, 2, 0, 1, 6, 1, 10, 6, 2, 1, 2, 2, 2, 1, 2, 6, 1, 2, 6, 2, 2, 10, 10, 2, 1, 6, 1, 6, 1, 2, 2, 10, 10, 10, 2, 10, 6, 6, 2, 1, 5, 6, 10, 1, 6, 2, 10, 6, 10, 1, 10, 2, 1, 6, 6, 2, 10, 2, 1, 1, 6, 10, 1, 6, 1, 6, 1, 10, 2, 6, 50, 2, 2, 1, 2, 1, 10, 2, 1, 2, 2, 1, 2, 10, 6, 1, 1, 6, 2, 10, 2, 6, 2, 1, 2, 5, 2, 10, 2, 2, 1, 2, 2, 6, 2, 1, 6, 10, 6, 1, 2, 6, 1, 5, 6, 1, 1, 0, 1, 6, 6, 2, 6, 10, 10, 2, 1, 1, 1, 0, 2, 6, 10, 10, 10, 2, 10, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 6, 10, 6, 10, 6, 1, 10, 1, 10, 1, 1, 1, 1, 1, 1, 6, 1, 6, 10, 1, 6, 6, 2, 2, 2, 10, 10, 1, 6, 10, 6, 10, 10, 1, 1, 1, 6, 6, 10, 2, 0, 2, 10, 10, 1, 2, 10, 1, 2, 2, 4, 10, 6, 10, 1, 10, 1, 6, 6, 2, 6, 10, 2, 6, 6, 6, 2, 10, 10, 10, 2, 2, 2, 6, 1, 2, 1, 1, 10, 1, 1, 2, 2, 2, 1, 6, 10, 10, 1, 6, 6, 2, 2, 10, 2, 2, 10, 2, 6, 1, 2, 0, 1, 1, 10, 2, 10, 1, 6, 6, 6, 10, 10, 5, 10, 6, 2, 10, 6, 10, 6, 1, 1, 10, 1, 10, 2, 10, 10, 2, 6, 6, 6, 1, 6, 6, 9, 10, 6, 10, 2, 6, 10, 1, 10, 10, 1, 6, 10, 10, 10, 6, 10, 1, 2, 10, 2, 6, 10, 40, 6, 4, 10, 1, 6, 6, 1, 6, 6, 10, 1, 2, 10, 10, 6, 10, 6, 1, 9, 10, 10, 1, 0, 10, 10, 2, 2, 2, 10, 10, 0, 10, 10, 1, 1, 6, 2, 1, 2, 10, 1, 9, 2, 1, 6, 2, 1, 6, 2, 10, 1, 1, 10, 10, 2, 10, 6, 2, 6, 1, 9, 1, 1, 10, 1, 1, 10, 2, 10, 10, 1, 1, 6, 10, 6, 10, 10, 2, 6, 6, 10, 2, 10, 6, 2, 10, 2, 10, 10, 10, 2, 10, 6, 10, 10, 2, 10, 1, 6, 6, 5, 1, 10, 1, 6, 6, 10, 1, 1, 1, 9, 6, 2, 10, 10, 2, 10, 1, 10, 2, 2, 10, 6, 2, 6, 1, 6, 1, 2, 2, 10, 6, 2, 2, 1, 10, 1, 6, 2, 1, 10, 1, 2, 1, 1, 10, 1, 10, 10, 2, 2, 6, 1, 10, 2, 6, 1, 10, 1, 6, 10, 2, 10, 10, 2, 9, 2, 1, 2, 2, 10, 10, 1, 10, 10, 10, 1, 6, 6, 6, 10, 2, 2, 1, 2, 1, 2, 1, 1, 6, 6, 9, 2, 10, 10, 6, 1, 2, 6, 1, 10, 6, 10, 6, 6, 6, 6, 10, 6, 2, 6, 10, 2, 6, 1, 6, 10, 2, 1, 6, 2, 10, 1, 10, 10, 1, 1, 6, 1, 6, 6, 2, 2, 6, 2, 10, 6, 1, 1, 6, 2, 2, 6, 1, 1, 2, 1, 6, 10, 10, 5, 10, 6, 10, 2, 6, 1, 10, 1, 6, 2, 10, 10, 1, 6, 6, 6, 6, 6, 2, 2, 10, 0, 2, 2, 10, 6, 10, 10, 10, 10, 6, 10, 1, 10, 10, 10, 10, 2, 10, 10, 2, 6, 2, 10, 1, 2, 6, 1, 10, 6, 1, 6, 10, 10, 1, 2, 1, 5, 10, 1, 2, 1, 6, 6, 1, 10, 6, 2, 10, 2, 10, 2, 1, 1, 6, 2, 2, 6, 1, 10, 2, 1, 10, 10, 2, 6, 2, 10, 10, 1, 10, 2, 1, 1, 2, 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6, 2, 10, 10, 4, 10, 10, 5, 2, 1, 6, 10, 1, 2, 10, 10, 6, 1, 1, 2, 10, 2, 6, 2, 1, 6, 6, 10, 2, 0, 6, 2, 10, 1, 6, 10, 6, 1, 6, 1, 1, 2, 1, 6, 1, 10, 10, 9, 10, 10, 6, 2, 1, 1, 1, 1, 10, 10, 6, 1, 6, 1, 5, 10, 10, 10, 1, 2, 2, 2, 6, 6, 10, 2, 2, 2, 1, 1, 1, 2, 1, 6, 2, 1, 6, 2, 9, 10, 6, 10, 6, 10, 1, 1, 2, 1, 6, 2, 5, 1, 6, 10, 1, 2, 2, 6, 4, 6, 10, 10, 1, 2, 1, 10, 6, 1, 10, 10, 1, 1, 10, 2, 2, 2, 4, 1, 1, 10, 10, 1, 10, 2, 6, 6, 1, 6, 10, 6, 10, 2, 1, 2, 6, 6, 10, 1, 6, 1, 1, 1, 1, 0, 1, 0, 6, 1, 2, 6, 10, 2, 1, 10, 6, 2, 2, 10, 1, 10, 2, 2, 2, 6, 6, 2, 10, 1, 6, 6, 1, 1, 2, 1, 2, 2, 6, 2, 6, 10, 1, 6, 1, 1, 6, 1, 1, 10, 2, 1, 10, 2, 1, 10, 2, 10, 2, 9, 10, 10, 1, 6, 1, 2, 1, 2, 2, 6, 6, 6, 9, 10, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 6, 1, 2, 10, 6, 1, 6, 1, 2, 2, 1, 6, 0, 6, 10, 2, 1, 10, 1, 2, 1, 10, 6, 1, 6, 1, 1, 6, 1, 2, 10, 1, 6, 1, 2, 1, 10, 6, 2, 1, 1, 6, 1, 1, 2, 6, 1, 10, 2, 2, 1, 1, 4, 6, 1, 1, 10, 10, 2, 2, 1, 10, 2, 1, 1, 10, 2, 2, 2, 6, 1, 1, 10, 1, 10, 6, 6, 5, 2, 2, 6, 1, 6, 2, 10, 10, 6, 10, 6, 1, 6, 1, 2, 2, 1, 2, 1, 10, 10, 10, 2, 2, 2, 6, 9, 6, 10, 10, 2, 10, 1, 2, 2, 5, 6, 1, 6, 6, 10, 1, 10, 1, 1, 6, 2, 10, 2, 2, 6, 10, 6, 10, 1, 6, 10, 5, 1, 2, 2, 1, 6, 6, 10, 6, 6, 1, 10, 2, 1, 1, 10, 2, 1, 2, 1, 1, 1, 2, 1, 6, 1, 10, 6, 10, 2, 2, 2, 10, 10, 6, 1, 1, 10, 1, 10, 10, 4, 10, 1, 10, 1, 2, 6, 6, 1, 10, 10, 1, 2, 2, 10, 6, 1, 1, 1, 9, 2, 1, 2, 2, 1, 2, 1, 2, 2, 6, 1, 1, 4, 1, 1, 6, 2, 10, 1, 2, 2, 6, 10, 1, 10, 2, 1, 6, 10, 6, 6, 1, 1, 5, 2, 6, 10, 10, 2, 6, 2, 6, 10, 6, 1, 2, 1, 1, 6, 10, 2, 10, 6, 10, 1, 2, 2, 10, 6, 2, 1, 1, 6, 1, 6, 10, 10, 1, 6, 2, 10, 10, 2, 3, 6, 1, 6, 4, 2, 2, 2, 1, 6, 1, 1, 2, 2, 6, 1, 6, 2, 2, 1, 6, 10, 2, 6, 10, 10, 10, 2, 1, 6, 2, 6, 2, 2, 10, 2, 10, 2, 6, 10, 2, 6, 2, 1, 10, 2, 10, 6, 6, 10, 2, 10, 1, 10, 10, 1, 10, 1, 1, 2, 1, 10, 10, 1, 10, 1, 1, 2, 6, 1, 4, 2, 2, 10, 2, 0, 1, 1, 10, 2, 9, 6, 1, 2, 1, 10, 2, 1, 6, 2, 2, 10, 1, 10, 10, 2, 6, 2, 2, 1, 6, 1, 2, 10, 1, 1, 5, 1, 2, 6, 2, 1, 6, 2, 1, 6, 6, 10, 1, 1, 6, 6, 6, 1, 2, 6, 10, 2, 2, 2, 6, 6, 2, 1, 1, 6, 1, 1, 6, 6, 2, 10, 2, 1, 10, 10, 10, 2, 10, 1, 1, 6, 1, 1, 6, 10, 2, 6, 6, 6, 1, 1, 9, 10, 2, 2, 10, 5, 1, 2, 6, 6, 1, 10, 10, 2, 1, 6, 6, 10, 2, 1, 6, 1, 10, 1, 2, 6, 2, 9, 10, 1, 10, 6, 1, 1, 2, 1, 2, 10, 2, 6, 2, 1, 10, 2, 2, 2, 10, 6, 5, 10, 1, 6, 10, 2, 2, 1, 10, 2, 6, 0, 6, 2, 6, 1, 2, 10, 10, 6, 1, 1, 1, 1, 2, 10, 2, 6, 10, 6, 6, 10, 10, 1, 2, 10, 6, 6, 1, 1, 6, 10, 10, 1, 10, 2, 6, 2, 1, 6, 2, 6, 2, 6, 10, 2, 6, 6, 2, 6, 1, 6, 5, 1, 1, 6, 2, 10, 6, 2, 1, 2, 2, 2, 10, 10, 2, 2, 10, 2, 6, 10, 10, 10, 0, 1, 10, 10, 6, 2, 10, 10, 2, 1, 0, 6, 2, 1, 6, 6, 2, 6, 6, 2, 6, 10, 1, 2, 2, 2, 2, 1, 6, 1, 1, 6, 10, 6, 1, 10, 1, 10, 10, 2, 1, 2, 2, 6, 2, 6, 10, 1, 2, 1, 1, 10, 10, 10, 6, 1, 2, 2, 6, 10, 6, 1, 2, 6, 6, 2, 1, 6, 1, 2, 6, 1, 10, 1, 6, 1, 6, 10, 1, 2, 2, 6, 9, 6, 10, 6, 1, 9, 10, 10, 2, 2, 1, 1, 6, 10, 10, 6, 6, 2, 1, 2, 1, 6, 1, 6, 2, 6, 10, 1, 0, 1, 1, 1, 2, 1, 1, 10, 2, 0, 10, 0, 6, 5, 9, 2, 2, 6, 1, 6, 1, 6, 2, 6, 1, 2, 6, 1, 10, 1, 2, 10, 6, 6, 1, 10, 2, 6, 2, 6, 2, 1, 2, 2, 1, 6, 2, 6, 10, 6, 10, 10, 1, 10, 6, 6, 6, 10, 6, 2, 10, 0, 1, 10, 2, 10, 2, 10, 10, 2, 2, 1, 6, 1, 1, 2, 1, 2, 1, 10, 2, 2, 6, 1, 1, 6, 10, 6, 10, 6, 6, 6, 1, 1, 2, 10, 2, 6, 6, 1, 6, 2, 6, 1, 0, 2, 1, 6, 10, 2, 2, 0, 2, 10, 2, 2, 1, 2, 10, 1, 2, 2, 2, 6, 2, 1, 1, 6, 2, 10, 6, 10, 6, 1, 2, 10, 2, 6, 10, 6, 10, 6, 6, 1, 6, 6, 10, 2, 10, 2, 2, 10, 10, 1, 10, 6, 6, 10, 10, 6, 5, 1, 0, 2, 6, 6, 1, 2, 10, 10, 10, 2, 2, 10, 10, 2, 6, 6, 2, 2, 2, 1, 1, 6, 10, 2, 2, 2, 10, 2, 10, 6, 10, 9, 10, 6, 10, 1, 6, 2, 1, 10, 2, 6, 6, 6, 10, 2, 6, 2, 10, 2, 1, 10, 10, 1, 6, 6, 1, 1, 10, 2, 6, 6, 1, 10, 2, 2, 1, 2, 1, 2, 10, 10, 10, 1, 2, 2, 6, 10, 1, 2, 10, 1, 2, 1, 1, 6, 2, 2, 1, 1, 1, 6, 10, 5, 10, 6, 10, 6, 10, 1, 2, 6, 2, 2, 10, 2, 2, 10, 6, 0, 1, 1, 10, 10, 2, 2, 2, 10, 2, 2, 2, 1, 10, 6, 1, 2, 6, 6, 6, 1, 1, 6, 10, 6, 10, 10, 10, 10, 6, 6, 2, 1, 6, 2, 6, 2, 6, 1, 2, 10, 1, 10, 1, 10, 10, 2, 6, 1, 2, 6, 2, 1, 6, 10, 2, 2, 5, 2, 2, 6, 1, 2, 10, 10, 2, 1, 2, 6, 2, 2, 0, 1, 2, 6, 6, 10, 6, 6, 6, 6, 1, 2, 2, 2, 1, 2, 1, 1, 1, 5, 2, 6, 4, 6, 2, 6, 10, 10, 6, 1, 1, 6, 1, 6, 1, 6, 10, 1, 10, 1, 6, 1, 10, 2, 2, 6, 1, 1, 10, 4, 1, 2, 4, 10, 6, 1, 5, 2, 6, 2, 1, 2, 6, 10, 2, 9, 2, 1, 6, 2, 10, 10, 10, 2, 6, 6, 1, 6, 60, 6, 2, 2, 10, 6, 10, 2, 2, 10, 10, 1, 6, 10, 6, 2, 6, 10, 2, 6, 2, 2, 10, 1, 10, 9, 10, 10, 6, 10, 2, 6, 2, 6, 2, 10, 6, 10, 1, 2, 1, 2, 6, 10, 10, 1, 1, 2, 6, 1, 10, 10, 6, 10, 2, 6, 2, 2, 2, 1, 1, 1, 2, 2, 2, 10, 6, 10, 2, 10, 10, 6, 9, 6, 1, 2, 6, 1, 2, 1, 2, 6, 1, 6, 2, 6, 2, 2, 2, 1, 10, 1, 2, 10, 10, 6, 6, 6, 4, 1, 2, 2, 1, 1, 2, 1, 10, 2, 10, 9, 2, 2, 10, 10, 6, 2, 1, 10, 6, 6, 10, 2, 2, 6, 6, 1, 6, 2, 2, 10, 10, 10, 10, 10, 10, 6, 10, 6, 6, 1, 1, 1, 6, 1, 10, 1, 6, 2, 10, 2, 1, 2, 1, 6, 6, 1, 2, 1, 10, 1, 10, 10, 6, 2, 1, 1, 1, 10, 10, 2, 6, 1, 6, 10, 2, 6, 5, 1, 1, 9, 1, 6, 6, 6, 10, 10, 1, 10, 2, 1, 1, 2, 10, 6, 10, 1, 2, 6, 2, 2, 6, 1, 1, 6, 10, 2, 10, 4, 2, 2, 10, 2, 1, 2, 9, 10, 1, 6, 10, 6, 10, 4, 10, 6, 9, 10, 10, 10, 9, 10, 1, 2, 6, 6, 10, 10, 5, 2, 1, 1, 1, 6, 1, 6, 5, 10, 10, 10, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 6, 1, 2, 2, 10, 1, 2, 2, 10, 2, 6, 10, 6, 1, 2, 2, 1, 10, 1, 4, 6, 2, 10, 6, 2, 6, 2, 10, 1, 6, 6, 1, 1, 1, 2, 6, 2, 10, 6, 10, 10, 6, 2, 1, 10, 2, 2, 10, 10, 1, 1, 6, 6, 6, 6, 6, 2, 10, 6, 10, 6, 2, 10, 10, 10, 4, 10, 2, 6, 2, 6, 1, 1, 6, 6, 10, 10, 10, 1, 2, 10, 2, 10, 1, 2, 6, 1, 10, 5, 5, 2, 2, 2, 2, 1, 1, 1, 10, 1, 6, 1, 6, 10, 1, 2, 1, 6, 10, 6, 6, 10, 10, 10, 6, 6, 2, 10, 6, 5, 10, 2, 10, 6, 1, 10, 1, 10, 10, 6, 4, 2, 2, 6, 2, 1, 2, 6, 6, 6, 6, 1, 2, 2, 6, 1, 6, 6, 10, 6, 2, 1, 10, 6, 2, 2, 6, 1, 10, 2, 2, 1, 10, 2, 1, 6, 6, 0, 10, 1, 1, 6, 10, 2, 10, 1, 1, 6, 10, 6, 6, 10, 6, 9, 2, 2, 2, 2, 6, 2, 1, 10, 6, 4, 1, 10, 10, 6, 2, 6, 2, 2, 6, 1, 1, 1, 10, 1, 6, 10, 2, 6, 1, 10, 2, 2, 1, 10, 10, 10, 6, 1, 2, 2, 10, 10, 6, 10, 10, 1, 1, 6, 1, 10, 10, 10, 6, 6, 10, 10, 2, 1, 6, 1, 6, 6, 10, 2, 2, 1, 2, 10, 2, 1, 0, 10, 2, 6, 6, 5, 10, 2, 10, 1, 6, 6, 6, 1, 10, 5, 10, 10, 6, 1, 2, 2, 6, 6, 2, 1, 2, 1, 10, 2, 6, 6, 10, 10, 6, 2, 2, 6, 10, 6, 10, 2, 1, 6, 1, 2, 10, 10, 2, 9, 6, 6, 6, 10, 4, 1, 6, 1, 6, 2, 10, 1, 2, 6, 6, 1, 2, 2, 1, 6, 1, 10, 1, 10, 6, 10, 10, 2, 6, 10, 1, 6, 1, 6, 2, 6, 6, 10, 1, 2, 6, 10, 1, 10, 10, 6, 2, 1, 10, 6, 1, 1, 1, 6, 6, 10, 10, 2, 6, 10, 2, 1, 5, 1, 10, 2, 6, 6, 10, 6, 2, 10, 6, 2, 10, 10, 1, 6, 6, 1, 10, 1, 2, 10, 1, 6, 1, 10, 2, 6, 6, 2, 2, 2, 6, 2, 2, 6, 6, 1, 1, 2, 1, 1, 10, 10, 10, 1, 6, 6, 1, 10, 2, 2, 1, 10, 2, 2, 1, 1, 2, 10, 1, 10, 1, 2, 1, 2, 6, 2, 2, 10, 1, 6, 10, 10, 2, 1, 1, 6, 1, 6, 6, 10, 2, 1, 2, 6, 6, 10, 2, 10, 6, 9, 6, 2, 1, 2, 2, 2, 1, 6, 1, 6, 6, 1, 6, 9, 6, 2, 2, 2, 1, 10, 10, 1, 1, 6, 2, 1, 10, 6, 10, 2, 2, 2, 6, 6, 10, 2, 1, 2, 2, 1, 10, 6, 10, 10, 1, 6, 1, 10, 1, 2, 2, 1, 1, 10, 10, 6, 2, 1, 2, 6, 2, 1, 1, 10, 2, 1, 10, 2, 10, 10, 2, 10, 10, 10, 10, 2, 10, 2, 2, 10, 10, 2, 10, 1, 1, 2, 6, 10, 10, 2, 1, 1, 1, 1, 1, 1, 10, 2, 10, 6, 2, 5, 2, 1, 6, 10, 1, 6, 2, 1, 9, 0, 6, 6, 6, 2, 10, 6, 1, 2, 10, 6, 6, 10, 9, 2, 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1, 1, 2, 1, 6, 2, 1, 6, 10, 10, 2, 1, 1, 6, 10, 2, 1, 6, 10, 10, 1, 6, 2, 6, 1, 2, 10, 6, 6, 1, 2, 1, 10, 1, 6, 6, 2, 6, 6, 2, 6, 1, 2, 6, 10, 2, 10, 6, 6, 1, 1, 1, 1, 10, 6, 10, 6, 6, 2, 2, 10, 2, 1, 6, 2, 6, 10, 1, 2, 10, 1, 10, 10, 6, 10, 6, 6, 6, 1, 6, 1, 6, 1, 6, 2, 6, 6, 2, 1, 2, 2, 10, 10, 1, 10, 10, 2, 1, 6, 6, 1, 0, 2, 2, 10, 6, 10, 1, 2, 2, 10, 1, 2, 1, 10, 1, 10, 50, 1, 10, 6, 2, 10, 10, 1, 2, 6, 6, 2, 6, 10, 1, 1, 2, 2, 1, 6, 6, 2, 1, 6, 1, 6, 6, 6, 6, 10, 1, 1, 6, 6, 2, 1, 1, 10, 2, 2, 6, 6, 6, 2, 6, 10, 6, 0, 10, 1, 1, 6, 1, 2, 6, 1, 1, 1, 2, 1, 6, 10, 2, 10, 1, 10, 2, 6, 10, 1, 10, 6, 1, 2, 10, 10, 1, 2, 10, 1, 2, 10, 10, 2, 6, 1, 2, 2, 6, 1, 6, 0, 1, 2, 1, 10, 6, 10, 1, 10, 10, 6, 1, 9, 10, 2, 6, 6, 2, 2, 10, 6, 6, 1, 6, 2, 2, 6, 6, 10, 1, 2, 1, 10, 2, 6, 2, 6, 1, 1, 6, 1, 2, 2, 1, 10, 6, 2, 6, 1, 6, 2, 1, 1, 1, 10, 2, 2, 10, 2, 2, 1, 6, 2, 6, 6, 2, 6, 1, 10, 10, 1, 6, 2, 6, 5, 6, 1, 10, 10, 10, 0, 1, 6, 6, 1, 1, 6, 1, 10, 2, 2, 6, 1, 2, 10, 10, 1, 4, 2, 6, 2, 10, 1, 1, 10, 6, 6, 2, 10, 10, 2, 1, 2, 10, 10, 0, 9, 6, 10, 6, 6, 2, 6, 2, 1, 5, 2, 1, 2, 6, 1, 1, 2, 2, 6, 2, 2, 2, 2, 1, 6, 10, 10, 1, 10, 2, 6, 6, 10, 6, 6, 10, 10, 2, 2, 6, 10, 0, 6, 6, 10, 1, 2, 6, 2, 1, 6, 10, 10, 10, 10, 1, 6, 10, 10, 1, 6, 1, 1, 10, 2, 6, 1, 10, 2, 1, 1, 2, 6, 2, 10, 6, 6, 1, 2, 10, 1, 10, 6, 2, 6, 2, 6, 1, 5, 2, 6, 6, 0, 0, 10, 1, 6, 6, 6, 10, 10, 1, 1, 10, 1, 2, 10, 2, 6, 1, 10, 2, 6, 1, 2, 10, 10, 2, 6, 6, 10, 1, 6, 6, 2, 6, 10, 1, 2, 50, 10, 10, 10, 2, 5, 1, 6, 1, 10, 2, 2, 2, 6, 4, 1, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 1, 6, 10, 10, 1, 6, 10, 1, 2, 1, 10, 1, 6, 6, 2, 1, 1, 6, 2, 1, 10, 10, 2, 6, 6, 10, 1, 10, 1, 10, 2, 1, 10, 6, 2, 2, 1, 10, 2, 6, 10, 6, 6, 1, 1, 6, 6, 2, 10, 2, 1, 0, 6, 6, 2, 1, 6, 10, 2, 1, 10, 10, 10, 2, 10, 10, 10, 1, 2, 10, 10, 10, 6, 6, 6, 10, 1, 2, 1, 9, 1, 2, 1, 1, 10, 2, 2, 9, 6, 1, 6, 10, 6, 1, 6, 1, 10, 10, 3, 1, 2, 2, 10, 9, 6, 2, 6, 2, 6, 6, 10, 10, 6, 1, 2, 6, 2, 1, 10, 6, 1, 1, 6, 2, 1, 1, 10, 2, 10, 2, 1, 10, 10, 2, 10, 10, 2, 2, 10, 6, 10, 10, 10, 2, 2, 2, 6, 1, 1, 1, 1, 6, 1, 1, 6, 10, 10, 10, 6, 2, 1, 1, 0, 6, 9, 6, 6, 2, 6, 1, 2, 1, 1, 1, 1, 6, 10, 1, 1, 1, 1, 1, 6, 6, 10, 1, 2, 2, 4, 1, 1, 2, 1, 10, 1, 2, 1, 1, 2, 2, 10, 6, 1, 6, 2, 2, 10, 2, 6, 2, 2, 1, 10, 1, 6, 1, 10, 4, 2, 6, 1, 6, 1, 6, 1, 1, 2, 6, 10, 1, 2, 6, 6, 2, 6, 10, 10, 10, 10, 2, 6, 6, 6, 2, 1, 6, 1, 1, 10, 2, 2, 6, 1, 10, 2, 1, 10, 10, 1, 10, 10, 1, 10, 6, 6, 0, 6, 2, 10, 1, 1, 10, 2, 10, 10, 1, 10, 2, 10, 2, 1, 2, 2, 2, 10, 1, 6, 1, 2, 10, 2, 1, 6, 6, 10, 2, 10, 10, 1, 6, 2, 1, 10, 2, 10, 1, 10, 2, 10, 1, 1, 2, 6, 1, 10, 1, 2, 10, 2, 1, 1, 1, 1, 2, 10, 1, 10, 2, 6, 2, 10, 2, 1, 6, 10, 6, 1, 1, 4, 6, 1, 6, 2, 6, 1, 2, 2, 2, 10, 10, 6, 1, 10, 6, 1, 10, 10, 10, 6, 6, 10, 1, 1, 1, 10, 1, 2, 2, 2, 10, 1, 2, 1, 2, 9, 5, 6, 1, 2, 10, 2, 1, 2, 6, 0, 1, 2, 10, 1, 6, 10, 6, 10, 10, 1, 1, 2, 6, 10, 6, 1, 6, 6, 1, 6, 10, 6, 2, 10, 6, 10, 2, 10, 1, 1, 2, 10, 6, 1, 2, 10, 1, 0, 10, 6, 1, 10, 1, 2, 2, 6, 1, 10, 10, 10, 2, 10, 2, 2, 6, 6, 2, 2, 1, 6, 2, 10, 10, 10, 2, 10, 6, 1, 10, 2, 1, 10, 10, 2, 1, 6, 2, 6, 2, 6, 10, 2, 10, 1, 2, 10, 6, 1, 1, 1, 1, 6, 1, 10, 1, 1, 10, 10, 2, 1, 10, 6, 2, 1, 2, 1, 10, 1, 10, 1, 6, 6, 6, 6, 2, 2, 10, 1, 10, 6, 5, 1, 1, 6, 6, 6, 2, 10, 5, 10, 6, 6, 4, 10, 2, 2, 1, 6, 2, 1, 10, 10, 6, 1, 2, 6, 1, 1, 1, 1, 6, 2, 6, 6, 10, 2, 6, 1, 2, 1, 2, 10, 2, 2, 2, 2, 2, 1, 6, 1, 10, 1, 10, 2, 1, 2, 2, 10, 2, 10, 1, 2, 2, 2, 2, 2, 10, 4, 10, 1, 10, 1, 1, 6, 2, 6, 2, 10, 6, 6, 10, 2, 2, 2, 6, 6, 6, 6, 1, 2, 10, 6, 10, 5, 2, 1, 10, 5, 1, 1, 2, 6, 6, 1, 2, 6, 6, 1, 10, 2, 4, 1, 10, 2, 10, 1, 1, 2, 10, 2, 10, 10, 1, 10, 1, 1, 10, 2, 6, 2, 1, 10, 10, 1, 10, 1, 2, 2, 2, 9, 1, 6, 2, 1, 6, 6, 10, 6, 10, 10, 10, 1, 2, 10, 6, 10, 10, 10, 6, 1, 9, 2, 6, 10, 1, 10, 2, 2, 10, 6, 6, 6, 1, 6, 10, 10, 1, 10, 10, 6, 6, 6, 1, 1, 10, 2, 1, 2, 1, 2, 10, 6, 10, 10, 6, 6, 1, 2, 6, 6, 10, 5, 6, 10, 9, 2, 2, 6, 2, 6, 9, 6, 6, 5, 10, 2, 2, 1, 2, 6, 10, 6, 6, 10, 1, 1, 2, 1, 10, 2, 1, 6, 1, 1, 10, 6, 2, 1, 6, 9, 10, 1, 2, 6, 1, 1, 6, 6, 2, 1, 10, 10, 2, 6, 1, 1, 6, 10, 1, 2, 1, 10, 2, 1, 2, 10, 10, 1, 10, 1, 10, 2, 6, 2, 10, 6, 1, 2, 2, 1, 2, 6, 10, 1, 1, 6, 6, 10, 10, 10, 6, 1, 6, 10, 1, 10, 2, 1, 2, 1, 6, 2, 1, 6, 1, 2, 10, 6, 6, 6, 10, 1, 10, 2, 2, 1, 10, 10, 10, 0, 10, 10, 6, 2, 2, 2, 1, 6, 6, 2, 1, 1, 1, 2, 10, 10, 6, 10, 6, 1, 10, 5, 10, 2, 10, 6, 10, 10, 1, 2, 6, 1, 10, 10, 10, 2, 2, 6, 10, 2, 2, 10, 1, 6, 1, 2, 1, 6, 2, 1, 10, 2, 10, 2, 2, 6, 4, 2, 2, 1, 2, 2, 2, 6, 2, 1, 10, 6, 6, 2, 1, 1, 1, 2, 6, 2, 10, 2, 10, 1, 1, 2, 1, 2, 2, 6, 6, 2, 2, 10, 0, 1, 2, 6, 10, 1, 2, 2, 10, 1, 1, 2, 6, 1, 10, 1, 6, 1, 2, 1, 2, 6, 10, 1, 2, 6, 6, 1, 2, 2, 1, 10, 10, 2, 6, 6, 10, 10, 2, 1, 6, 1, 50, 10, 6, 1, 10, 6, 10, 1, 10, 10, 6, 2, 10, 10, 1, 6, 1, 6, 2, 1, 2, 6, 10, 9, 1, 6, 1, 2, 10, 10, 6, 2, 2, 10, 6, 2, 6, 10, 6, 1, 10, 6, 6, 2, 10, 10, 2, 6, 1, 1, 2, 6, 1, 2, 6, 1, 1, 10, 2, 6, 2, 0, 2, 10, 1, 2, 6, 10, 1, 2, 6, 6, 1, 1, 6, 6, 60, 1, 1, 6, 6, 1, 10, 1, 2, 10, 10, 1, 10, 2, 2, 1, 2, 2, 1, 6, 6, 10, 1, 0, 2, 10, 6, 10, 2, 2, 6, 10, 2, 6, 2, 6, 2, 1, 1, 10, 2, 2, 10, 1, 6, 10, 6, 10, 10, 10, 10, 2, 10, 10, 1, 2, 6, 10, 6, 2, 6, 10, 10, 1, 1, 6, 2, 1, 1, 10, 10, 10, 10, 5, 1, 1, 2, 1, 10, 1, 1, 6, 2, 2, 1, 1, 10, 6, 10, 2, 1, 10, 1, 1, 2, 9, 6, 2, 2, 2, 1, 10, 2, 6, 6, 2, 6, 6, 6, 2, 2, 2, 1, 6, 2, 1, 1, 6, 2, 2, 10, 6, 1, 1, 10, 6, 2, 6, 10, 1, 0, 2, 10, 10, 10, 6, 1, 10, 1, 2, 2, 1, 6, 1, 2, 10, 2, 4, 2, 6, 2, 1, 6, 10, 2, 1, 10, 10, 6, 6, 1, 1, 1, 1, 10, 10, 6, 10, 6, 2, 1, 4, 2, 10, 10, 10, 6, 10, 1, 10, 1, 1, 1, 6, 2, 6, 10, 1, 10, 6, 2, 1, 6, 6, 2, 2, 6, 1, 0, 6, 1, 6, 2, 6, 6, 10, 1, 1, 1, 4, 2, 1, 6, 6, 1, 6, 10, 1, 2, 2, 10, 1, 6, 2, 5, 4, 1, 6, 5, 10, 10, 10, 6, 10, 10, 2, 2, 6, 1, 1, 10, 10, 2, 10, 6, 6, 6, 10, 10, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6, 1, 2, 1, 6, 5, 1, 2, 6, 1, 6, 1, 2, 2, 10, 10, 10, 10, 6, 6, 6, 1, 10, 2, 1, 2, 4, 1, 6, 1, 2, 10, 1, 1, 2, 6, 6, 1, 6, 10, 6, 10, 2, 10, 10, 9, 2, 2, 1, 1, 2, 10, 1, 6, 2, 10, 10, 10, 10, 10, 2, 10, 10, 2, 1, 1, 10, 1, 10, 1, 10, 2, 10, 6, 5, 2, 6, 1, 2, 1, 6, 2, 5, 6, 2, 1, 5, 1, 6, 6, 10, 1, 1, 1, 2, 2, 10, 6, 1, 10, 1, 2, 6, 6, 10, 6, 1, 6, 2, 2, 2, 2, 6, 1, 1, 2, 1, 1, 4, 6, 6, 1, 6, 1, 1, 10, 6, 0, 6, 2, 6, 4, 6, 6, 1, 2, 2, 2, 10, 2, 6, 2, 1, 6, 6, 6, 2, 2, 1, 2, 6, 2, 6, 10, 10, 6, 9, 10, 10, 6, 10, 10, 10, 10, 1, 2, 1, 2, 1, 10, 6, 10, 2, 1, 2, 2, 10, 10, 2, 1, 1, 10, 6, 10, 2, 10, 6, 10, 6, 2, 2, 6, 6, 6, 6, 2, 2, 2, 10, 10, 2, 6, 6, 10, 1, 10, 6, 1, 4, 10, 1, 10, 2, 2, 2, 10, 10, 1, 10, 2, 10, 10, 10, 2, 2, 9, 1, 2, 1, 6, 6, 60, 6, 1, 10, 6, 2, 6, 2, 2, 2, 1, 6, 10, 2, 6, 2, 1, 6, 2, 1, 6, 6, 6, 1, 2, 2, 2, 2, 5, 6, 10, 6, 10, 10, 1, 10, 1, 10, 1, 6, 2, 1, 10, 2, 10, 10, 2, 2, 2, 6, 10, 6, 2, 6, 1, 1, 10, 1, 1, 2, 10, 2, 6, 1, 10, 10, 2, 1, 10, 10, 6, 10, 6, 5, 6, 6, 6, 10, 1, 6, 2, 2, 6, 10, 1, 2, 2, 2, 2, 6, 2, 1, 6, 10, 10, 6, 2, 10, 0, 6, 10, 1, 10, 2, 2, 6, 10, 1, 1, 2, 2, 1, 1, 6, 6, 10, 10, 2, 6, 2, 6, 10, 1, 1, 10, 10, 6, 1, 1, 10, 6, 10, 6, 1, 6, 2, 10, 1, 9, 1, 2, 6, 2, 6, 1, 1, 2, 2, 2, 1, 6, 2, 1, 6, 10, 10, 10, 10, 1, 2, 10, 1, 1, 1, 2, 2, 10, 10, 10, 10, 1, 1, 6, 1, 1, 2, 10, 2, 6, 1, 10, 6, 6, 10, 1, 10, 1, 6, 1, 10, 1, 10, 10, 1, 10, 1, 1, 1, 1, 5, 1, 2, 10, 1, 1, 6, 6, 2, 10, 10, 10, 6, 10, 10, 10, 2, 10, 2, 6, 2, 2, 6, 1, 10, 1, 2, 10, 2, 5, 2, 10, 6, 2, 10, 6, 2, 2, 2, 2, 10, 6, 10, 1, 6, 1, 2, 2, 10, 2, 1, 1, 1, 6, 1, 5, 6, 2, 6, 10, 10, 10, 10, 2, 2, 1, 6, 10, 6, 1, 6, 1, 2, 10, 1, 1, 6, 2, 2, 2, 2, 6, 1, 10, 2, 6, 6, 10, 2, 10, 6, 6, 6, 10, 10, 1, 9, 1, 1, 2, 10, 6, 10, 6, 2, 6, 6, 6, 10, 10, 2, 10, 2, 2, 1, 1, 2, 1, 6, 2, 1, 9, 2, 10, 6, 10, 2, 10, 1, 10, 10, 2, 9, 2, 6, 2, 2, 10, 1, 2, 1, 2, 2, 6, 6, 1, 2, 2, 6, 6, 6, 1, 1, 1, 2, 1, 10, 10, 6, 2, 6, 6, 10, 5, 10, 10, 2, 6, 6, 2, 2, 10, 1, 6, 2, 2, 1, 6, 10, 6, 1, 2, 10, 2, 10, 1, 1, 6, 6, 10, 6, 2, 2, 6, 2, 2, 6, 6, 1, 10, 6, 2, 10, 6, 2, 1, 6, 1, 2, 10, 1, 6, 2, 6, 2, 2, 1, 2, 10, 10, 1, 4, 6, 6, 1, 3, 10, 10, 2, 10, 6, 10, 10, 4, 6, 9, 6, 4, 10, 6, 1, 2, 10, 2, 10, 1, 1, 1, 2, 2, 2, 10, 1, 10, 2, 1, 1, 10, 6, 9, 6, 1, 10, 6, 2, 2, 6, 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10, 1, 10, 2, 1, 10, 2, 1, 1, 9, 1, 1, 2, 2, 2, 1, 10, 10, 1, 6, 6, 1, 10, 2, 2, 1, 10, 10, 1, 6, 6, 2, 1, 6, 1, 1, 10, 6, 1, 10, 10, 1, 6, 1, 1, 10, 2, 10, 6, 10, 2, 1, 6, 2, 2, 2, 1, 6, 2, 10, 6, 6, 10, 2, 6, 6, 6, 2, 1, 2, 6, 10, 2, 2, 2, 10, 2, 1, 10, 6, 2, 10, 1, 10, 2, 10, 2, 1, 1, 1, 2, 1, 1, 1, 10, 1, 6, 2, 1, 6, 10, 6, 6, 1, 1, 2, 2, 2, 6, 1, 2, 6, 2, 0, 9, 1, 1, 2, 1, 1, 6, 2, 6, 2, 2, 1, 0, 10, 10, 10, 6, 1, 2, 1, 10, 0, 2, 6, 5, 1, 10, 6, 10, 2, 1, 1, 10, 1, 1, 6, 1, 10, 1, 10, 1, 6, 2, 10, 1, 2, 2, 1, 1, 1, 2, 2, 6, 2, 2, 6, 6, 1, 1, 2, 1, 10, 10, 1, 1, 2, 1, 2, 10, 6, 0, 1, 10, 2, 1, 2, 1, 6, 2, 1, 1, 1, 2, 2, 1, 10, 1, 4, 6, 6, 6, 10, 10, 10, 10, 1, 6, 2, 6, 2, 6, 6, 1, 6, 10, 2, 1, 6, 2, 2, 1, 1, 1, 1, 6, 2, 1, 1, 2, 6, 2, 2, 10, 1, 1, 1, 1, 6, 1, 2, 2, 10, 6, 1, 10, 10, 10, 1, 1, 6, 6, 10, 2, 10, 2, 10, 2, 2, 6, 6, 2, 10, 2, 0, 10, 2, 1, 1, 10, 10, 2, 6, 10, 2, 6, 1, 10, 1, 10, 10, 10, 6, 1, 6, 2, 10, 10, 0, 6, 1, 6, 6, 2, 10, 2, 2, 10, 10, 1, 1, 1, 10, 2, 9, 1, 2, 6, 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10, 10, 1, 2, 5, 1, 1, 6, 6, 6, 1, 1, 10, 10, 2, 1, 6, 1, 1, 1, 2, 2, 6, 6, 6, 1, 6, 1, 1, 9, 1, 6, 10, 6, 6, 7, 2, 6, 2, 10, 6, 10, 1, 10, 10, 6, 6, 10, 10, 10, 1, 1, 10, 2, 10, 2, 1, 1, 10, 1, 2, 6, 0, 6, 2, 10, 10, 1, 6, 6, 1, 10, 10, 2, 2, 10, 2, 1, 6, 2, 10, 1, 6, 2, 10, 10, 1, 1, 6, 2, 6, 1, 6, 2, 1, 2, 6, 2, 10, 6, 1, 2, 10, 10, 2, 2, 1, 6, 10, 10, 6, 10, 2, 2, 1, 6, 10, 1, 10, 2, 1, 2, 4, 2, 1, 2, 6, 10, 6, 10, 6, 10, 10, 1, 1, 1, 9, 2, 10, 2, 10, 2, 1, 2, 10, 2, 2, 1, 10, 10, 6, 10, 10, 2, 10, 10, 1, 2, 1, 2, 2, 10, 10, 2, 1, 6, 1, 1, 6, 6, 6, 1, 10, 6, 9, 6, 6, 5, 10, 2, 2, 10, 10, 10, 1, 1, 4, 2, 1, 6, 4, 2, 6, 6, 1, 6, 10, 6, 1, 2, 6, 6, 1, 10, 2, 6, 1, 6, 5, 0, 6, 6, 2, 2, 6, 2, 1, 2, 2, 1, 2, 2, 10, 10, 0, 1, 6, 2, 6, 6, 6, 2, 10, 0, 1, 2, 10, 6, 2, 2, 10, 6, 2, 2, 6, 2, 10, 2, 6, 6, 10, 6, 10, 1, 1, 6, 10, 6, 2, 10, 1, 10, 10, 10, 6, 10, 9, 1, 10, 2, 1, 10, 10, 2, 1, 2, 6, 10, 10, 6, 6, 1, 2, 1, 2, 2, 6, 6, 2, 10, 6, 6, 6, 1, 2, 10, 6, 2, 1, 10, 2, 10, 1, 6, 2, 2, 10, 10, 1, 1, 2, 1, 6, 2, 10, 1, 6, 2, 10, 2, 6, 10, 6, 6, 2, 2, 6, 2, 1, 9, 10, 6, 6, 6, 10, 1, 1, 1, 2, 10, 2, 2, 2, 2, 1, 6, 10, 2, 2, 6, 1, 1, 1, 6, 9, 10, 6, 1, 2, 10, 1, 1, 6, 2, 1, 10, 2, 2, 1, 1, 6, 6, 6, 10, 10, 1, 10, 2, 10, 6, 2, 10, 2, 6, 2, 2, 6, 6, 1, 1, 10, 1, 2, 4, 6, 2, 9, 2, 6, 10, 2, 6, 10, 1, 1, 2, 6, 10, 1, 2, 6, 10, 1, 2, 2, 2, 1, 6, 1, 2, 10, 10, 2, 1, 2, 10, 6, 6, 10, 6, 9, 1, 1, 1, 10, 1, 2, 6, 2, 10, 2, 10, 2, 10, 1, 2, 9, 1, 2, 6, 1, 6, 2, 1, 1, 10, 1, 1, 10, 10, 10, 6, 6, 2, 2, 6, 10, 1, 10, 2, 10, 10, 2, 1, 2, 1, 2, 10, 1, 2, 6, 1, 6, 10, 2, 6, 6, 10, 2, 6, 6, 1, 2, 2, 1, 6, 2, 6, 10, 6, 10, 6, 2, 6, 2, 10, 2, 10, 1, 6, 10, 1, 10, 2, 6, 1, 1, 10, 10, 6, 10, 1, 10, 1, 10, 1, 1, 6, 10, 6, 10, 10, 6, 6, 1, 2, 6, 1, 6, 6, 1, 2, 1, 2, 1, 10, 1, 2, 2, 1, 1, 1, 10, 1, 2, 10, 10, 10, 10, 10, 10, 2, 1, 1, 6, 10, 10, 6, 1, 1, 2, 10, 10, 10, 10, 1, 1, 6, 2, 1, 10, 6, 2, 10, 10, 1, 4, 2, 10, 6, 1, 6, 2, 10, 6, 40, 10, 10, 1, 2, 6, 10, 2, 1, 2, 2, 1, 2, 6, 6, 2, 1, 10, 1, 10, 6, 6, 10, 1, 2, 2, 1, 10, 10, 1, 10, 2, 1, 6, 10, 10, 7, 1, 2, 2, 1, 9, 1, 6, 10, 2, 1, 2, 6, 1, 10, 2, 1, 10, 6, 1, 6, 10, 1, 10, 2, 2, 2, 1, 1, 10, 2, 6, 2, 1, 1, 0, 6, 10, 6, 1, 2, 6, 2, 10, 10, 1, 10, 6, 2, 0, 10, 10, 1, 6, 6, 2, 5, 1, 6, 1, 10, 10, 2, 1, 6, 10, 2, 5, 2, 6, 10, 2, 6, 1, 1, 2, 1, 6, 1, 6, 2, 10, 10, 6, 2, 10, 10, 10, 10, 6, 10, 9, 6, 10, 1, 2, 10, 6, 6, 10, 2, 6, 10, 1, 2, 10, 10, 10, 6, 1, 2, 2, 10, 2, 6, 6, 10, 2, 1, 10, 2, 1, 1, 6, 10, 1, 4, 1, 6, 4, 1, 6, 2, 1, 0, 10, 0, 10, 1, 10, 2, 2, 1, 1, 6, 2, 10, 6, 2, 2, 10, 1, 10, 10, 1, 1, 10, 2, 6, 0, 2, 1, 10, 10, 6, 1, 1, 2, 1, 2, 10, 6, 1, 2, 2, 10, 6, 6, 2, 2, 1, 2, 1, 2, 1, 1, 1, 10, 2, 10, 1, 1, 10, 6, 10, 0, 9, 6, 2, 1, 10, 6, 10, 10, 6, 6, 6, 10, 6, 10, 10, 6, 1, 6, 1, 1, 6, 2, 10, 2, 2, 6, 10, 1, 1, 6, 2, 10, 2, 1, 10, 2, 2, 2, 5, 6, 10, 2, 2, 2, 1, 6, 2, 2, 2, 6, 10, 2, 2, 10, 2, 2, 6, 10, 6, 1, 10, 2, 10, 10, 5, 10, 10, 10, 10, 2, 1, 5, 10, 6, 2, 1, 10, 2, 1, 6, 10, 10, 2, 2, 1, 2, 6, 1, 1, 10, 6, 2, 2, 2, 6, 10, 2, 1, 2, 2, 2, 10, 2, 1, 10, 2, 6, 2, 2, 10, 10, 10, 2, 2, 1, 6, 1, 6, 10, 2, 10, 10, 2, 10, 10, 10, 1, 6, 10, 10, 1, 1, 1, 2, 10, 10, 1, 10, 10, 10, 1, 6, 1, 6, 10, 10, 10, 10, 10, 2, 1, 2, 6, 10, 6, 7, 1, 2, 10, 1, 10, 2, 10, 2, 6, 2, 1, 2, 1, 1, 2, 6, 6, 1, 1, 1, 10, 6, 10, 6, 1, 10, 1, 2, 1, 2, 4, 2, 2, 6, 10, 10, 6, 6, 2, 2, 10, 2, 6, 10, 2, 2, 1, 1, 2, 6, 6, 10, 1, 10, 2, 1, 10, 2, 1, 10, 5, 2, 6, 2, 2, 2, 2, 0, 2, 2, 6, 1, 10, 10, 6, 10, 1, 6, 2, 1, 1, 10, 6, 2, 2, 2, 10, 10, 10, 10, 2, 10, 10, 1, 2, 2, 10, 6, 6, 6, 10, 6, 1, 2, 6, 2, 10, 2, 1, 1, 6, 6, 10, 10, 1, 2, 9, 1, 6, 10, 10, 2, 2, 9, 1, 2, 10, 10, 6, 4, 6, 1, 6, 1, 2, 6, 6, 1, 10, 6, 10, 2, 10, 6, 2, 6, 10, 10, 6, 5, 1, 2, 1, 2, 10, 1, 10, 6, 2, 1, 1, 1, 1, 2, 10, 6, 1, 6, 2, 10, 1, 2, 10, 6, 2, 10, 10, 1, 10, 10, 2, 2, 10, 2, 6, 6, 1, 1, 2, 10, 6, 6, 2, 10, 1, 2, 6, 10, 2, 2, 1, 6, 6, 9, 10, 6, 2, 10, 2, 2, 6, 2, 2, 10, 2, 2, 2, 10, 10, 1, 10, 1, 2, 2, 6, 6, 2, 6, 10, 6, 10, 2, 10, 1, 10, 6, 1, 10, 2, 10, 1, 10, 6, 1, 5, 10, 10, 2, 1, 6, 10, 10, 6, 6, 10, 10, 1, 2, 1, 1, 6, 1, 1, 10, 2, 10, 6, 1, 1, 2, 2, 1, 10, 6, 10, 10, 10, 10, 10, 10, 6, 6, 1, 6, 2, 2, 6, 1, 1, 2, 2, 1, 1, 2, 0, 1, 10, 10, 6, 10, 6, 1, 4, 10, 10, 1, 5, 6, 2, 1, 10, 2, 2, 6, 6, 2, 10, 1, 10, 6, 6, 10, 2, 1, 6, 10, 2, 2, 10, 10, 6, 10, 1, 2, 10, 10, 10, 6, 1, 6, 6, 1, 10, 2, 10, 10, 1, 1, 10, 10, 6, 2, 6, 6, 1, 1, 6, 1, 0, 1, 1, 4, 1, 1, 1, 6, 1, 10, 1, 1, 6, 2, 6, 10, 2, 6, 6, 1, 1, 6, 6, 6, 6, 10, 1, 10, 10, 6, 1, 6, 1, 6, 1, 2, 6, 2, 10, 10, 6, 1, 10, 6, 6, 6, 6, 6, 1, 10, 6, 1, 2, 2, 10, 1, 10, 2, 10, 10, 2, 1, 10, 1, 2, 1, 6, 10, 2, 10, 10, 1, 9, 6, 6, 1, 2, 6, 2, 6, 2, 6, 10, 6, 6, 1, 10, 1, 6, 10, 6, 2, 10, 10, 2, 6, 4, 6, 6, 2, 2, 9, 10, 1, 10, 2, 2, 6, 1, 6, 10, 6, 10, 2, 6, 10, 10, 6, 10, 6, 1, 10, 2, 1, 2, 10, 2, 1, 6, 1, 1, 1, 1, 2, 2, 1, 6, 1, 6, 1, 10, 1, 10, 2, 6, 1, 6, 2, 10, 2, 2, 2, 6, 6, 10, 6, 10, 10, 2, 10, 0, 2, 2, 10, 2, 10, 6, 1, 6, 1, 1, 2, 6, 2, 1, 6, 10, 10, 10, 10, 0, 6, 2, 10, 2, 2, 10, 6, 2, 2, 1, 6, 10, 1, 2, 10, 6, 6, 10, 1, 1, 6, 2, 1, 1, 2, 2, 10, 10, 2, 1, 5, 10, 2, 6, 10, 2, 1, 6, 6, 6, 6, 1, 10, 1, 10, 1, 1, 1, 6, 1, 10, 6, 10, 0, 6, 6, 2, 10, 10, 6, 10, 1, 6, 1, 10, 1, 1, 2, 1, 10, 2, 1, 6, 10, 1, 2, 10, 6, 6, 1, 2, 2, 10, 2, 2, 2, 1, 2, 6, 6, 6, 2, 10, 1, 2, 1, 2, 1, 2, 6, 10, 2, 2, 10, 6, 6, 10, 2, 2, 2, 2, 5, 6, 2, 1, 10, 1, 1, 6, 10, 6, 1, 6, 1, 1, 10, 1, 1, 1, 1, 6, 6, 2, 10, 6, 2, 2, 1, 2, 6, 1, 6, 6, 10, 1, 0, 2, 6, 6, 10, 10, 2, 1, 1, 6, 1, 1, 1, 2, 6, 1, 2, 10, 1, 10, 6, 10, 2, 2, 2, 2, 2, 1, 2, 2, 10, 10, 2, 2, 10, 10, 10, 10, 1, 2, 1, 6, 10, 1, 10, 2, 5, 2, 2, 6, 6, 10, 2, 2, 10, 10, 2, 2, 6, 10, 6, 10, 1, 6, 2, 1, 9, 5, 6, 1, 1, 2, 9, 1, 2, 1, 1, 1, 1, 6, 1, 2, 6, 2, 10, 6, 10, 6, 1, 6, 2, 6, 2, 2, 10, 2, 2, 1, 10, 6, 10, 10, 10, 10, 10, 10, 2, 2, 2, 0, 2, 6, 6, 2, 1, 2, 1, 6, 2, 10, 6, 2, 10, 2, 6, 6, 1, 1, 6, 6, 10, 2, 6, 2, 1, 6, 1, 10, 2, 2, 10, 2, 6, 10, 2, 6, 1, 10, 10, 2, 6, 10, 1, 0, 1, 10, 2, 6, 6, 10, 10, 10, 6, 6, 10, 1, 6, 2, 2, 6, 2, 10, 1, 10, 2, 10, 10, 10, 2, 1, 10, 2, 1, 10, 6, 10, 6, 2, 1, 6, 6, 2, 6, 2, 1, 6, 6, 1, 6, 2, 10, 2, 2, 6, 6, 10, 10, 6, 10, 10, 6, 6, 10, 2, 1, 10, 5, 10, 2, 1, 6, 10, 2, 1, 2, 10, 2, 1, 2, 6, 10, 6, 10, 10, 2, 2, 6, 1, 6, 10, 6, 6, 2, 2, 2, 1, 1, 10, 2, 2, 1, 10, 10, 6, 6, 1, 6, 2, 6, 2, 1, 6, 6, 10, 2, 6, 10, 6, 2, 1, 2, 10, 10, 1, 1, 6, 2, 6, 2, 6, 1, 2, 2, 6, 10, 1, 6, 10, 6, 2, 6, 10, 1, 6, 6, 0, 1, 10, 1, 1, 1, 10, 6, 10, 10, 6, 1, 1, 10, 6, 2, 10, 10, 2, 10, 6, 1, 6, 2, 1, 10, 2, 2, 6, 10, 6, 1, 6, 10, 10, 10, 1, 10, 1, 6, 1, 1, 10, 6, 10, 2, 2, 1, 10, 10, 10, 5, 10, 10, 2, 6, 6, 6, 2, 10, 2, 2, 1, 2, 2, 2, 10, 2, 2, 2, 6, 6, 10, 10, 2, 10, 1, 2, 2, 10, 1, 2, 10, 1, 6, 10, 1, 10, 6, 10, 10, 2, 2, 6, 6, 2, 1, 10, 10, 2, 2, 6, 1, 2, 10, 1, 1, 6, 10, 1, 2, 10, 2, 10, 1, 2, 2, 6, 2, 6, 1, 6, 1, 10, 2, 6, 6, 1, 6, 2, 10, 2, 6, 1, 1, 10, 1, 2, 10, 6, 10, 6, 10, 10, 6, 1, 2, 6, 10, 0, 2, 6, 2, 1, 2, 10, 2, 1, 6, 1, 1, 1, 10, 1, 6, 10, 10, 6, 6, 2, 6, 2, 2, 10, 2, 10, 2, 6, 1, 6, 2, 9, 2, 2, 1, 10, 1, 10, 10, 1, 10, 1, 10, 10, 2, 10, 2, 6, 6, 2, 1, 2, 6, 2, 2, 10, 6, 1, 1, 10, 1, 10, 2, 2, 10, 2, 6, 2, 6, 2, 2, 2, 1, 1, 6, 6, 9, 2, 2, 1, 2, 1, 2, 10, 6, 2, 2, 6, 10, 6, 1, 6, 0, 1, 6, 1, 10, 10, 6, 2, 6, 10, 6, 1, 1, 10, 1, 6, 0, 2, 1, 1, 6, 2, 10, 1, 6, 2, 6, 6, 2, 6, 1, 1, 2, 10, 9, 2, 1, 1, 1, 6, 1, 2, 6, 10, 2, 1, 6, 1, 6, 2, 2, 2, 6, 2, 10, 10, 10, 10, 6, 10, 6, 1, 1, 2, 6, 2, 1, 2, 6, 4, 10, 10, 1, 6, 1, 10, 1, 6, 6, 1, 2, 6, 2, 10, 1, 1, 1, 6, 10, 6, 10, 6, 10, 10, 6, 10, 1, 10, 1, 2, 10, 10, 1, 2, 6, 2, 1, 6, 9, 10, 1, 2, 2, 1, 10, 6, 6, 1, 5, 6, 2, 10, 10, 6, 6, 1, 1, 6, 10, 1, 6, 10, 2, 2, 6, 1, 6, 2, 1, 2, 10, 2, 10, 1, 10, 10, 2, 10, 2, 1, 0, 6, 1, 2, 2, 10, 2, 6, 1, 1, 2, 2, 10, 6, 10, 2, 2, 1, 1, 6, 10, 10, 1, 1, 10, 10, 4, 1, 1, 10, 6, 1, 6, 1, 1, 10, 10, 6, 6, 1, 6, 1, 10, 6, 10, 10, 2, 2, 1, 6, 6, 1, 10, 2, 6, 2, 6, 10, 2, 2, 6, 2, 1, 10, 10, 6, 6, 10, 2, 2, 10, 0, 6, 10, 2, 1, 1, 6, 2, 2, 2, 1, 10, 1, 2, 2, 6, 2, 2, 2, 6, 10, 2, 1, 1, 2, 1, 6, 6, 1, 2, 1, 6, 2, 10, 6, 1, 2, 2, 10, 10, 1, 6, 6, 6, 1, 10, 5, 6, 2, 10, 6, 1, 2, 1, 2, 6, 9, 10, 10, 10, 6, 2, 10, 10, 1, 10, 10, 10, 1, 10, 1, 6, 10, 1, 1, 10, 2, 6, 10, 10, 1, 1, 1, 2, 1, 2, 10, 1, 6, 10, 9, 6, 10, 1, 1, 1, 10, 2, 0, 1, 10, 2, 1, 10, 10, 1, 6, 2, 2, 1, 2, 1, 10, 10, 2, 1, 10, 2, 10, 1, 10, 0, 1, 2, 6, 6, 2, 2, 10, 1, 10, 6, 2, 10, 1, 10, 10, 6, 6, 10, 1, 6, 6, 6, 2, 10, 5, 6, 1, 6, 2, 6, 6, 6, 6, 10, 4, 6, 10, 1, 5, 2, 2, 2, 6, 6, 10, 6, 6, 1, 6, 6, 2, 10, 10, 6, 2, 6, 6, 1, 10, 40, 2, 10, 10, 10, 10, 10, 2, 2, 1, 1, 6, 10, 10, 10, 10, 10, 1, 2, 1, 1, 1, 1, 2, 10, 1, 6, 6, 1, 6, 2, 2, 10, 6, 10, 6, 10, 2, 1, 1, 10, 10, 10, 2, 1, 2, 6, 10, 6, 10, 6, 6, 6, 6, 1, 6, 10, 10, 1, 6, 6, 10, 1, 1, 6, 6, 10, 6, 1, 1, 2, 2, 2, 2, 10, 6, 1, 10, 6, 10, 10, 10, 10, 2, 6, 2, 1, 2, 10, 1, 10, 6, 6, 10, 10, 1, 1, 2, 10, 6, 2, 10, 2, 6, 10, 1, 2, 1, 1, 2, 6, 1, 10, 2, 1, 2, 2, 1, 1, 6, 10, 6, 2, 10, 10, 1, 2, 1, 2, 1, 2, 6, 2, 6, 10, 6, 6, 6, 2, 6, 2, 1, 2, 6, 1, 6, 10, 1, 2, 6, 2, 1, 10, 6, 1, 1, 1, 4, 10, 6, 6, 6, 1, 1, 10, 10, 2, 10, 6, 2, 2, 10, 2, 1, 6, 2, 2, 10, 2, 10, 2, 2, 2, 2, 6, 10, 1, 6, 6, 10, 1, 1, 9, 10, 10, 6, 6, 2, 6, 6, 10, 1, 10, 2, 1, 6, 10, 1, 2, 10, 2, 6, 6, 6, 1, 6, 6, 6, 2, 1, 1, 2, 1, 4, 1, 6, 1, 10, 2, 0, 6, 6, 10, 1, 10, 6, 1, 10, 2, 1, 1, 6, 10, 5, 6, 2, 1, 6, 2, 10, 2, 2, 6, 6, 2, 10, 4, 1, 10, 10, 0, 2, 2, 10, 6, 2, 6, 10, 1, 2, 6, 1, 10, 6, 2, 2, 5, 10, 2, 1, 6, 6, 1, 10, 10, 2, 1, 2, 10, 0, 10, 2, 2, 1, 2, 6, 6, 10, 2, 1, 2, 1, 2, 2, 10, 1, 10, 2, 6, 10, 2, 10, 2, 6, 2, 1, 6, 1, 6, 10, 10, 1, 1, 6, 2, 6, 10, 1, 2, 6, 2, 10, 2, 2, 1, 1, 6, 6, 6, 6, 10, 6, 1, 6, 6, 2, 6, 1, 10, 6, 10, 10, 10, 1, 1, 1, 2, 6, 2, 6, 10, 6, 60, 2, 1, 10, 2, 1, 1, 2, 2, 1, 2, 10, 1, 10, 2, 6, 2, 1, 1, 1, 1, 2, 1, 6, 1, 2, 1, 6, 1, 6, 6, 10, 2, 1, 2, 1, 6, 1, 10, 2, 10, 2, 2, 6, 2, 10, 1, 6, 1, 10, 1, 1, 1, 2, 1, 1, 6, 6, 10, 1, 6, 1, 1, 10, 2, 10, 2, 2, 2, 1, 6, 6, 2, 6, 2, 10, 1, 6, 5, 1, 2, 2, 1, 10, 1, 10, 2, 6, 10, 1, 1, 1, 2, 0, 2, 6, 10, 1, 2, 1, 10, 2, 2, 10, 9, 1, 10, 10, 2, 10, 2, 6, 2, 10, 10, 10, 10, 1, 2, 10, 1, 2, 4, 2, 10, 10, 6, 6, 1, 6, 1, 6, 1, 2, 1, 6, 6, 2, 10, 6, 10, 2, 2, 10, 6, 1, 10, 2, 1, 1, 2, 6, 10, 2, 1, 1, 6, 1, 2, 1, 6, 6, 1, 10, 10, 6, 10, 1, 2, 10, 1, 1, 6, 4, 10, 6, 6, 10, 2, 10, 6, 10, 10, 6, 2, 10, 6, 2, 1, 10, 10, 1, 10, 2, 10, 2, 6, 6, 1, 6, 6, 1, 2, 2, 10, 2, 10, 6, 1, 6, 1, 6, 2, 6, 9, 1, 1, 6, 1, 10, 6, 6, 6, 1, 2, 10, 6, 10, 10, 1, 6, 10, 10, 6, 10, 10, 2, 6, 6, 6, 6, 2, 1, 6, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 6, 10, 6, 1, 6, 10, 2, 1, 2, 10, 6, 6, 10, 1, 10, 1, 6, 1, 10, 2, 2, 6, 1, 6, 10, 1, 1, 10, 1, 10, 2, 2, 1, 2, 10, 10, 1, 9, 2, 1, 10, 6, 10, 10, 6, 6, 1, 1, 6, 2, 2, 10, 2, 1, 6, 1, 2, 1, 10, 10, 10, 1, 9, 2, 6, 3, 1, 10, 2, 2, 10, 1, 1, 10, 2, 2, 6, 6, 6, 2, 2, 6, 2, 6, 2, 2, 2, 4, 10, 1, 1, 1, 1, 6, 2, 1, 2, 6, 1, 1, 10, 6, 1, 9, 2, 1, 6, 1, 6, 1, 2, 6, 6, 1, 2, 2, 1, 6, 4, 2, 6, 6, 1, 10, 2, 1, 6, 2, 1, 6, 10, 2, 2, 6, 10, 1, 2, 10, 6, 10, 1, 10, 2, 1, 2, 4, 10, 1, 10, 1, 10, 6, 2, 10, 2, 1, 2, 1, 6, 6, 6, 6, 10, 10, 2, 6, 6, 2, 10, 6, 10, 2, 10, 10, 2, 6, 1, 4, 1, 6, 2, 6, 1, 6, 6, 2, 6, 2, 2, 6, 2, 6, 6, 2, 1, 6, 4, 1, 10, 6, 10, 6, 10, 6, 2, 2, 1, 10, 10, 6, 10, 1, 10, 10, 10, 2, 1, 1, 9, 6, 10, 2, 6, 10, 1, 6, 6, 6, 2, 9, 1, 6, 10, 2, 1, 1, 10, 10, 2, 10, 1, 5, 6, 6, 6, 6, 1, 10, 10, 2, 2, 6, 0, 2, 10, 6, 2, 6, 10, 10, 1, 2, 10, 6, 6, 2, 6, 1, 2, 2, 1, 6, 10, 10, 10, 2, 10, 10, 1, 2, 10, 2, 1, 10, 2, 2, 10, 6, 6, 10, 10, 2, 6, 10, 2, 2, 10, 0, 10, 10, 2, 6, 60, 6, 1, 6, 10, 10, 1, 2, 6, 10, 2, 2, 10, 6, 10, 1, 1, 2, 10, 2, 6, 2, 6, 6, 6, 6, 2, 6, 9, 2, 2, 1, 2, 2, 2, 10, 10, 6, 6, 10, 2, 10, 1, 6, 2, 10, 10, 2, 6, 10, 1, 8, 6, 1, 10, 1, 10, 6, 1, 6, 1, 10, 6, 0, 1, 1, 2, 1, 6, 0, 6, 6, 6, 6, 6, 4, 1, 6, 10, 10, 2, 1, 10, 1, 6, 1, 2, 2, 1, 10, 1, 10, 2, 1, 6, 6, 1, 6, 1, 2, 10, 1, 6, 6, 2, 2, 1, 10, 2, 2, 10, 10, 2, 10, 2, 1, 10, 10, 1, 6, 1, 6, 6, 6, 1, 1, 6, 6, 9, 6, 10, 0, 1, 2, 2, 2, 10, 1, 10, 6, 6, 2, 10, 6, 1, 1, 6, 2, 6, 1, 10, 10, 2, 1, 1, 6, 10, 2, 10, 1, 6, 10, 1, 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2, 6, 6, 1, 6, 1, 10, 10, 10, 1, 2, 6, 6, 1, 10, 10, 1, 10, 2, 5, 2, 1, 2, 1, 10, 2, 2, 2, 10, 6, 2, 2, 1, 10, 2, 10, 1, 2, 2, 2, 6, 10, 10, 1, 6, 1, 2, 6, 6, 1, 6, 6, 1, 6, 2, 6, 2, 2, 2, 1, 2, 1, 10, 6, 2, 2, 6, 2, 1, 10, 2, 2, 1, 2, 10, 1, 1, 1, 10, 1, 10, 2, 10, 2, 10, 2, 6, 10, 10, 2, 6, 10, 10, 1, 2, 2, 6, 2, 1, 1, 6, 1, 6, 6, 10, 6, 2, 1, 6, 1, 10, 6, 1, 1, 1, 6, 6, 2, 1, 6, 6, 1, 1, 10, 2, 2, 2, 2, 6, 10, 2, 2, 6, 2, 10, 6, 2, 10, 6, 2, 6, 6, 1, 6, 6, 1, 6, 1, 2, 10, 10, 10, 2, 6, 9, 2, 10, 2, 10, 2, 2, 1, 2, 1, 2, 1, 10, 1, 2, 2, 1, 2, 10, 1, 6, 6, 10, 9, 2, 2, 10, 6, 10, 1, 2, 2, 1, 10, 1, 10, 6, 6, 6, 1, 10, 2, 2, 2, 10, 10, 10, 1, 1, 6, 10, 6, 6, 1, 10, 6, 2, 10, 6, 2, 10, 10, 1, 2, 10, 6, 2, 4, 6, 2, 0, 6, 10, 10, 6, 2, 10, 6, 10, 2, 6, 2, 1, 10, 10, 10, 2, 10, 10, 10, 2, 1, 6, 2, 1, 2, 6, 10, 1, 2, 6, 2, 2, 10, 2, 1, 1, 2, 2, 1, 5, 6, 6, 2, 1, 6, 10, 10, 10, 2, 2, 2, 1, 10, 1, 10, 2, 10, 6, 2, 2, 1, 10, 2, 6, 1, 1, 1, 2, 2, 10, 1, 6, 10, 6, 6, 2, 10, 6, 6, 6, 10, 6, 2, 6, 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6, 1, 2, 2, 2, 2, 10, 10, 2, 10, 6, 1, 1, 6, 2, 1, 6, 1, 1, 1, 1, 1, 10, 2, 6, 2, 6, 1, 6, 5, 2, 6, 2, 2, 10, 2, 1, 1, 2, 6, 1, 6, 1, 1, 1, 6, 10, 1, 2, 2, 2, 1, 2, 1, 6, 1, 10, 2, 10, 10, 2, 2, 6, 2, 1, 6, 1, 6, 2, 10, 6, 6, 6, 6, 2, 2, 6, 6, 6, 6, 2, 6, 1, 2, 5, 6, 9, 6, 1, 6, 6, 10, 1, 2, 10, 4, 1, 6, 6, 2, 6, 6, 6, 2, 6, 2, 2, 1, 1, 6, 1, 6, 1, 1, 2, 6, 10, 2, 1, 10, 1, 1, 2, 10, 6, 6, 1, 1, 2, 2, 9, 1, 1, 1, 4, 2, 1, 6, 1, 1, 10, 10, 1, 10, 6, 6, 2, 6, 2, 6, 2, 10, 1, 4, 10, 6, 1, 6, 1, 10, 2, 10, 2, 10, 10, 10, 6, 6, 2, 6, 5, 1, 10, 10, 6, 1, 6, 1, 6, 2, 2, 10, 1, 10, 1, 6, 10, 10, 6, 6, 1, 2, 2, 2, 1, 2, 2, 6, 10, 10, 1, 6, 1, 10, 10, 6, 1, 2, 10, 2, 1, 1, 6, 1, 10, 6, 6, 2, 6, 1, 10, 10, 6, 6, 10, 1, 6, 2, 6, 1, 10, 10, 10, 10, 0, 2, 1, 1, 1, 2, 6, 1, 2, 1, 10, 10, 1, 10, 6, 2, 10, 1, 1, 6, 6, 10, 9, 6, 10, 10, 10, 1, 10, 2, 2, 6, 2, 10, 2, 2, 6, 6, 10, 6, 6, 2, 1, 6, 6, 6, 10, 6, 2, 6, 2, 10, 1, 2, 1, 1, 2, 6, 1, 10, 10, 6, 2, 1, 1, 1, 10, 6, 1, 6, 10, 4, 4, 2, 6, 1, 10, 6, 1, 10, 6, 10, 10, 1, 1, 2, 10, 6, 6, 10, 6, 10, 10, 1, 1, 10, 6, 1, 6, 1, 10, 1, 6, 2, 10, 1, 6, 1, 2, 10, 6, 10, 6, 9, 10, 5, 6, 2, 2, 10, 6, 2, 10, 10, 10, 10, 2, 2, 1, 6, 2, 10, 2, 10, 2, 1, 6, 1, 1, 10, 10, 1, 1, 2, 6, 2, 2, 1, 10, 10, 6, 10, 1, 1, 1, 2, 1, 2, 1, 10, 10, 6, 1, 10, 10, 10, 6, 6, 6, 6, 10, 2, 6, 2, 2, 2, 1, 2, 10, 6, 2, 10, 10, 10, 6, 6, 1, 1, 2, 10, 1, 6, 6, 1, 1, 1, 1, 10, 2, 2, 2, 2, 6, 4, 10, 1, 2, 1, 2, 6, 1, 1, 10, 5, 10, 1, 5, 6, 1, 2, 2, 1, 6, 1, 6, 10, 1, 10, 10, 2, 1, 6, 1, 2, 1, 6, 10, 10, 10, 10, 10, 10, 6, 6, 6, 2, 2, 1, 10, 6, 10, 2, 1, 1, 1, 0, 6, 2, 6, 6, 6, 4, 1, 1, 10, 6, 1, 2, 1, 1, 6, 1, 2, 10, 10, 10, 10, 2, 10, 6, 6, 1, 2, 6, 6, 1, 10, 10, 10, 10, 10, 6, 10, 6, 1, 9, 6, 2, 6, 2, 1, 2, 10, 6, 6, 6, 6, 6, 1, 6, 10, 0, 1, 6, 1, 6, 1, 2, 6, 6, 6, 2, 2, 10, 2, 6, 10, 10, 10, 10, 2, 2, 10, 6, 1, 6, 6, 10, 10, 6, 6, 2, 2, 1, 10, 2, 2, 1, 2, 1, 10, 1, 10, 1, 10, 2, 10, 1, 10, 6, 10, 1, 1, 2, 2, 10, 6, 6, 6, 1, 10, 50, 2, 10, 6, 6, 2, 1, 6, 6, 1, 6, 6, 1, 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10, 4, 1, 1, 6, 1, 6, 6, 4, 2, 2, 1, 6, 6, 1, 6, 1, 2, 6, 2, 1, 2, 6, 60, 6, 2, 6, 2, 1, 2, 2, 1, 2, 9, 6, 10, 6, 6, 2, 1, 10, 2, 10, 10, 6, 1, 6, 6, 10, 1, 2, 6, 1, 10, 6, 2, 2, 1, 6, 1, 1, 1, 10, 6, 2, 6, 1, 2, 1, 1, 6, 2, 2, 1, 1, 6, 1, 2, 2, 2, 1, 6, 10, 1, 1, 2, 10, 2, 1, 10, 1, 1, 2, 10, 10, 1, 2, 6, 2, 10, 2, 10, 6, 1, 6, 1, 1, 1, 1, 6, 1, 6, 10, 2, 2, 6, 10, 2, 1, 1, 2, 1, 2, 6, 1, 1, 1, 10, 10, 6, 2, 6, 10, 10, 6, 6, 10, 10, 6, 6, 6, 10, 0, 6, 1, 10, 1, 10, 6, 10, 6, 1, 6, 10, 2, 1, 1, 10, 6, 10, 6, 1, 10, 1, 6, 2, 10, 1, 6, 10, 6, 1, 10, 1, 10, 2, 1, 1, 2, 6, 6, 1, 1, 1, 10, 6, 2, 10, 6, 2, 6, 1, 6, 2, 1, 2, 6, 10, 6, 1, 1, 6, 2, 6, 2, 6, 2, 6, 1, 2, 10, 2, 2, 0, 6, 1, 6, 2, 2, 2, 6, 6, 6, 2, 6, 10, 1, 10, 6, 10, 4, 2, 10, 2, 10, 2, 1, 6, 6, 1, 10, 10, 1, 10, 2, 2, 6, 1, 2, 2, 6, 2, 6, 1, 6, 6, 2, 1, 1, 10, 2, 6, 6, 2, 10, 1, 2, 6, 10, 6, 10, 1, 9, 10, 1, 2, 1, 6, 10, 10, 1, 1, 2, 6, 6, 2, 1, 1, 2, 1, 6, 1, 2, 10, 1, 6, 2, 10, 9, 6, 6, 6, 6, 6, 1, 1, 6, 10, 1, 2, 1, 1, 10, 6, 6, 4, 6, 2, 1, 6, 6, 10, 1, 6, 6, 10, 2, 2, 2, 6, 6, 1, 2, 2, 2, 2, 2, 1, 6, 1, 10, 1, 1, 2, 1, 1, 10, 2, 1, 6, 10, 10, 10, 2, 1, 10, 1, 6, 1, 5, 2, 1, 6, 2, 9, 5, 10, 2, 10, 2, 2, 2, 1, 6, 6, 1, 6, 6, 2, 1, 2, 2, 10, 1, 10, 1, 10, 6, 2, 1, 2, 1, 1, 1, 2, 2, 10, 6, 10, 2, 6, 10, 10, 1, 6, 2, 10, 2, 1, 6, 10, 2, 9, 10, 2, 6, 10, 10, 2, 10, 2, 10, 10, 10, 6, 2, 2, 10, 2, 1, 1, 10, 6, 6, 6, 2, 10, 1, 6, 1, 6, 2, 1, 9, 6, 10, 1, 6, 10, 2, 6, 1, 1, 6, 6, 6, 2, 10, 1, 10, 1, 6, 10, 6, 6, 6, 2, 10, 2, 10, 1, 10, 1, 10, 6, 1, 2, 6, 1, 10, 2, 6, 6, 10, 1, 1, 6, 10, 1, 1, 10, 10, 6, 10, 2, 2, 6, 6, 2, 10, 10, 2, 6, 10, 1, 1, 1, 6, 1, 6, 2, 6, 6, 1, 1, 1, 1, 10, 2, 2, 10, 6, 10, 2, 6, 10, 6, 1, 1, 6, 2, 10, 10, 10, 0, 6, 10, 6, 1, 10, 2, 1, 6, 6, 6, 2, 2, 10, 2, 2, 1, 4, 1, 6, 10, 6, 2, 10, 1, 2, 2, 2, 2, 1, 6, 6, 6, 6, 1, 1, 6, 1, 2, 1, 6, 2, 10, 6, 6, 2, 6, 2, 1, 1, 2, 6, 2, 1, 1, 1, 1, 2, 2, 2, 2, 10, 10, 6, 1, 1, 6, 6, 6, 1, 10, 1, 6, 10, 2, 10, 2, 1, 10, 9, 10, 2, 10, 1, 6, 1, 10, 1, 10, 2, 1, 1, 2, 1, 6, 6, 6, 10, 10, 6, 1, 6, 6, 10, 6, 10, 1, 10, 6, 10, 6, 6, 2, 6, 4, 6, 10, 6, 9, 2, 2, 2, 10, 2, 9, 2, 6, 6, 1, 2, 2, 1, 1, 10, 1, 1, 1, 10, 10, 4, 1, 1, 10, 6, 1, 6, 1, 2, 10, 6, 1, 1, 10, 2, 6, 10, 6, 2, 6, 6, 6, 6, 2, 6, 10, 2, 6, 2, 6, 2, 6, 6, 10, 2, 1, 2, 6, 10, 2, 10, 6, 2, 6, 6, 10, 2, 10, 10, 1, 6, 1, 10, 0, 6, 2, 6, 1, 10, 2, 1, 2, 10, 10, 5, 2, 6, 10, 2, 6, 10, 6, 6, 1, 10, 1, 10, 2, 10, 1, 2, 1, 1, 1, 2, 6, 9, 10, 10, 1, 10, 6, 10, 6, 6, 10, 6, 2, 2, 6, 10, 6, 2, 1, 6, 10, 2, 10, 10, 6, 1, 2, 6, 2, 2, 2, 2, 10, 2, 10, 10, 10, 1, 2, 5, 2, 2, 10, 2, 1, 1, 4, 10, 4, 6, 1, 2, 2, 1, 10, 10, 6, 1, 2, 6, 2, 6, 1, 2, 1, 6, 6, 6, 6, 1, 6, 1, 0, 10, 10, 6, 1, 6, 1, 6, 10, 2, 6, 10, 1, 2, 6, 1, 5, 10, 2, 1, 6, 5, 1, 2, 6, 10, 10, 2, 10, 2, 2, 10, 2, 2, 2, 1, 2, 6, 6, 2, 10, 2, 2, 2, 2, 1, 1, 10, 1, 5, 2, 6, 1, 2, 6, 1, 4, 2, 1, 2, 1, 6, 10, 2, 10, 1, 10, 10, 10, 2, 10, 10, 10, 6, 2, 2, 2, 6, 2, 1, 6, 6, 2, 1, 10, 2, 1, 6, 6, 10, 10, 10, 1, 10, 10, 6, 6, 9, 4, 6, 2, 6, 1, 6, 10, 6, 1, 1, 10, 1, 10, 10, 6, 10, 1, 10, 10, 10, 6, 6, 9, 2, 1, 1, 1, 2, 6, 2, 10, 6, 1, 10, 6, 6, 6, 6, 10, 10, 2, 6, 6, 2, 2, 6, 2, 2, 10, 6, 6, 10, 5, 10, 2, 1, 10, 6, 1, 2, 6, 2, 6, 2, 10, 6, 6, 6, 10, 2, 6, 1, 10, 2, 2, 1, 1, 1, 1, 10, 6, 1, 10, 2, 2, 10, 10, 10, 6, 6, 1, 1, 6, 6, 1, 2, 2, 10, 1, 1, 10, 10, 10, 10, 10, 10, 6, 2, 9, 1, 10, 10, 1, 6, 6, 10, 10, 2, 6, 1, 10, 10, 2, 6, 10, 1, 1, 2, 10, 1, 2, 10, 1, 2, 1, 1, 6, 2, 10, 10, 2, 1, 10, 2, 1, 1, 2, 6, 10, 1, 6, 6, 6, 2, 10, 6, 2, 0, 2, 10, 5, 10, 1, 10, 6, 6, 2, 1, 2, 6, 10, 2, 2, 1, 2, 6, 10, 2, 6, 1, 6, 2, 6, 10, 6, 2, 6, 1, 6, 1, 10, 10, 1, 2, 1, 6, 2, 6, 1, 6, 10, 9, 1, 10, 2, 10, 1, 6, 10, 2, 2, 6, 10, 10, 6, 1, 1, 6, 6, 10, 10, 2, 10, 0, 6, 2, 1, 5, 2, 1, 10, 1, 1, 1, 2, 1, 2, 2, 6, 1, 10, 1, 2, 6, 0, 10, 2, 2, 10, 2, 2, 9, 1, 1, 10, 10, 6, 1, 1, 1, 1, 2, 10, 2, 10, 6, 10, 6, 10, 10, 6, 2, 6, 1, 6, 6, 10, 1, 6, 2, 2, 6, 10, 6, 1, 9, 1, 6, 10, 10, 5, 2, 6, 6, 10, 6, 10, 2, 2, 2, 2, 6, 2, 6, 10, 2, 1, 10, 10, 1, 2, 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10, 6, 1, 6, 2, 10, 10, 2, 2, 1, 10, 1, 1, 2, 2, 1, 1, 1, 2, 1, 10, 10, 10, 2, 1, 10, 6, 6, 2, 1, 1, 1, 6, 1, 2, 6, 2, 1, 2, 10, 1, 1, 6, 2, 1, 2, 1, 1, 6, 2, 0, 2, 10, 2, 6, 2, 2, 6, 1, 10, 1, 10, 1, 0, 6, 2, 10, 2, 6, 1, 10, 6, 2, 9, 6, 2, 6, 0, 6, 2, 2, 6, 10, 10, 10, 9, 2, 1, 6, 2, 1, 2, 9, 3, 6, 2, 6, 6, 6, 6, 2, 2, 6, 10, 1, 1, 6, 2, 10, 10, 6, 6, 10, 1, 2, 6, 1, 1, 2, 10, 2, 10, 1, 10, 1, 2, 2, 6, 10, 9, 2, 2, 1, 10, 1, 1, 2, 1, 6, 10, 0, 10, 2, 2, 10, 6, 10, 1, 9, 2, 10, 10, 2, 2, 1, 10, 6, 6, 1, 6, 10, 1, 2, 1, 2, 2, 6, 1, 1, 10, 1, 2, 6, 10, 10, 2, 10, 6, 1, 10, 2, 1, 6, 10, 6, 4, 10, 1, 2, 2, 2, 10, 6, 1, 6, 1, 2, 2, 1, 1, 6, 1, 1, 6, 10, 2, 1, 1, 2, 6, 2, 10, 2, 6, 2, 1, 1, 10, 2, 6, 1, 10, 9, 10, 2, 1, 6, 1, 6, 2, 6, 6, 6, 6, 1, 6, 2, 2, 6, 6, 10, 2, 1, 2, 6, 6, 2, 2, 10, 10, 1, 6, 1, 1, 2, 1, 1, 6, 2, 2, 10, 1, 4, 1, 6, 2, 1, 2, 2, 6, 10, 6, 10, 2, 2, 2, 2, 2, 6, 1, 10, 1, 2, 0, 10, 6, 2, 10, 2, 10, 1, 6, 1, 2, 6, 10, 1, 2, 1, 10, 10, 1, 6, 6, 2, 6, 2, 2, 10, 10, 1, 2, 1, 10, 1, 10, 10, 10, 10, 1, 6, 6, 6, 2, 2, 1, 2, 1, 1, 1, 6, 10, 10, 10, 1, 2, 2, 10, 10, 1, 1, 2, 10, 1, 2, 10, 1, 6, 2, 1, 10, 1, 6, 10, 6, 6, 6, 6, 1, 2, 6, 6, 2, 1, 1, 2, 10, 6, 6, 2, 2, 6, 2, 10, 2, 6, 10, 6, 1, 10, 1, 6, 1, 1, 10, 10, 10, 6, 2, 6, 1, 6, 1, 1, 2, 2, 10, 2, 10, 2, 2, 2, 2, 6, 2, 2, 2, 6, 1, 1, 2, 6, 6, 2, 6, 5, 1, 1, 6, 10, 6, 1, 1, 2, 1, 2, 6, 6, 2, 10, 1, 2, 6, 1, 10, 6, 2, 1, 2, 2, 2, 10, 1, 6, 2, 2, 2, 2, 1, 6, 1, 1, 1, 2, 1, 1, 2, 6, 10, 6, 10, 6, 10, 10, 1, 6, 2, 1, 5, 10, 2, 1, 2, 1, 6, 10, 6, 6, 2, 6, 2, 2, 1, 5, 10, 6, 6, 2, 10, 10, 1, 6, 1, 9, 6, 10, 1, 6, 1, 10, 10, 6, 2, 2, 2, 1, 6, 2, 9, 6, 2, 1, 6, 2, 2, 1, 10, 2, 1, 10, 6, 6, 10, 6, 2, 1, 6, 2, 1, 10, 10, 1, 2, 1, 10, 10, 1, 6, 6, 10, 10, 6, 10, 1, 10, 4, 1, 10, 2, 10, 1, 1, 0, 2, 5, 2, 10, 2, 1, 2, 1, 0, 2, 0, 2, 10, 10, 10, 6, 2, 10, 1, 1, 2, 10, 6, 4, 2, 2, 10, 6, 10, 10, 2, 6, 2, 1, 2, 2, 10, 2, 1, 1, 6, 6, 4, 1, 6, 6, 10, 10, 6, 1, 1, 10, 1, 2, 10, 6, 10, 6, 6, 1, 6, 1, 10, 2, 1, 1, 1, 10, 2, 6, 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10, 6, 1, 10, 2, 1, 2, 10, 2, 10, 2, 1, 6, 2, 1, 2, 2, 1, 6, 2, 10, 10, 6, 6, 1, 6, 1, 10, 10, 2, 6, 10, 10, 2, 1, 1, 10, 2, 10, 6, 4, 2, 10, 10, 6, 10, 1, 6, 1, 6, 10, 1, 4, 2, 2, 2, 10, 1, 1, 6, 10, 9, 2, 2, 10, 2, 6, 6, 10, 2, 1, 1, 1, 2, 1, 2, 10, 2, 1, 6, 10, 6, 2, 6, 1, 6, 1, 6, 1, 1, 6, 2, 10, 10, 10, 5, 10, 6, 2, 6, 2, 6, 1, 1, 10, 2, 10, 6, 1, 2, 6, 6, 6, 2, 1, 6, 10, 1, 2, 6, 6, 6, 2, 6, 1, 1, 2, 1, 1, 10, 1, 1, 6, 1, 10, 2, 10, 10, 10, 10, 2, 2, 2, 2, 6, 1, 10, 6, 6, 10, 2, 2, 1, 1, 6, 1, 6, 2, 10, 2, 1, 1, 10, 1, 6, 10, 4, 1, 1, 10, 6, 10, 1, 6, 1, 10, 2, 1, 1, 2, 6, 1, 9, 10, 6, 2, 6, 6, 6, 10, 5, 10, 2, 6, 10, 10, 2, 6, 2, 10, 2, 2, 10, 6, 6, 6, 10, 10, 10, 5, 6, 10, 2, 0, 2, 10, 6, 10, 6, 10, 2, 1, 1, 6, 10, 0, 1, 10, 2, 2, 1, 10, 2, 10, 6, 10, 10, 10, 1, 2, 1, 2, 6, 6, 1, 1, 6, 6, 2, 6, 6, 6, 6, 6, 6, 6, 10, 1, 6, 2, 6, 1, 2, 10, 10, 2, 1, 6, 1, 6, 10, 1, 1, 6, 2, 2, 10, 6, 2, 2, 1, 2, 0, 6, 2, 6, 10, 6, 10, 6, 1, 2, 6, 6, 6, 1, 2, 1, 10, 10, 2, 2, 1, 1, 6, 10, 2, 1, 2, 6, 6, 6, 2, 6, 1, 6, 2, 10, 1, 6, 1, 2, 6, 6, 1, 2, 10, 1, 10, 10, 2, 2, 1, 10, 6, 1, 10, 6, 2, 1, 10, 2, 4, 2, 6, 6, 10, 6, 10, 2, 6, 6, 10, 1, 6, 10, 6, 6, 1, 1, 2, 2, 1, 6, 6, 1, 1, 1, 6, 2, 2, 10, 5, 10, 6, 2, 10, 2, 6, 10, 10, 1, 2, 1, 10, 6, 4, 10, 4, 1, 1, 2, 2, 6, 6, 2, 2, 2, 6, 4, 1, 10, 6, 1, 6, 6, 1, 10, 2, 2, 10, 6, 1, 2, 1, 6, 2, 2, 10, 6, 1, 10, 2, 10, 6, 1, 10, 6, 2, 10, 6, 1, 6, 1, 6, 2, 1, 6, 2, 1, 6, 10, 10, 10, 10, 5, 10, 10, 6, 1, 6, 10, 1, 6, 6, 1, 6, 1, 9, 6, 10, 6, 2, 2, 10, 6, 1, 2, 6, 1, 1, 2, 6, 1, 10, 4, 10, 2, 6, 2, 10, 6, 5, 6, 1, 10, 1, 1, 1, 10, 4, 2, 6, 2, 10, 6, 4, 2, 2, 10, 1, 6, 4, 6, 2, 2, 1, 6, 10, 6, 1, 10, 2, 1, 1, 1, 10, 2, 10, 1, 1, 10, 6, 6, 6, 1, 2, 2, 6, 10, 2, 6, 10, 6, 1, 1, 2, 10, 10, 1, 0, 10, 2, 1, 6, 6, 1, 2, 5, 10, 6, 1, 10, 2, 2, 1, 1, 2, 6, 2, 2, 2, 2, 10, 1, 1, 2, 6, 6, 2, 6, 6, 1, 10, 6, 10, 2, 2, 9, 6, 2, 6, 10, 1, 6, 2, 0, 2, 6, 10, 1, 6, 1, 10, 10, 10, 1, 6, 6, 6, 4, 1, 10, 6, 2, 1, 10, 10, 1, 6, 1, 6, 1, 1, 6, 2, 6, 10, 2, 1, 1, 2, 6, 1, 6, 10, 0, 10, 2, 6, 2, 6, 6, 10, 10, 6, 10, 2, 10, 2, 10, 6, 6, 0, 6, 6, 1, 10, 6, 1, 1, 6, 1, 1, 1, 10, 1, 10, 6, 2, 2, 1, 10, 1, 6, 10, 2, 6, 2, 2, 2, 10, 6, 6, 10, 10, 6, 2, 6, 6, 9, 10, 2, 10, 10, 2, 6, 6, 1, 10, 6, 60, 1, 2, 1, 10, 6, 6, 1, 1, 2, 2, 6, 10, 10, 6, 6, 2, 6, 1, 10, 10, 2, 6, 10, 2, 2, 10, 2, 2, 10, 1, 6, 2, 10, 1, 2, 1, 6, 10, 2, 2, 6, 2, 10, 6, 6, 6, 10, 10, 1, 6, 10, 6, 2, 2, 6, 6, 1, 1, 10, 2, 10, 2, 2, 1, 6, 10, 10, 2, 2, 1, 1, 6, 1, 6, 10, 2, 6, 2, 10, 10, 6, 2, 1, 2, 1, 1, 1, 1, 10, 10, 2, 1, 0, 10, 2, 6, 10, 1, 2, 1, 10, 1, 2, 10, 2, 10, 6, 10, 2, 6, 6, 6, 10, 10, 1, 2, 1, 2, 1, 6, 2, 10, 2, 10, 2, 2, 6, 6, 2, 1, 1, 1, 6, 10, 1, 6, 6, 6, 1, 10, 6, 5, 2, 6, 2, 1, 2, 10, 6, 2, 6, 1, 6, 1, 2, 6, 2, 2, 2, 1, 6, 2, 6, 6, 2, 10, 10, 1, 6, 1, 10, 6, 10, 10, 1, 1, 2, 10, 1, 6, 1, 10, 2, 6, 10, 1, 10, 1, 10, 2, 1, 1, 2, 1, 0, 2, 10, 2, 2, 1, 1, 1, 10, 6, 6, 10, 6, 6, 2, 10, 2, 2, 10, 6, 2, 2, 6, 1, 6, 10, 6, 10, 1, 10, 10, 1, 2, 6, 2, 6, 9, 1, 10, 6, 6, 1, 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2, 10, 10, 6, 6, 2, 10, 1, 6, 10, 1, 1, 1, 1, 6, 2, 2, 1, 2, 10, 1, 2, 2, 10, 2, 6, 10, 1, 6, 10, 2, 1, 10, 10, 6, 0, 1, 2, 10, 2, 1, 2, 2, 10, 6, 2, 2, 1, 6, 2, 10, 1, 6, 2, 6, 6, 10, 6, 10, 6, 1, 6, 10, 10, 6, 6, 1, 10, 1, 6, 2, 4, 2, 1, 1, 2, 2, 2, 2, 10, 6, 2, 2, 10, 9, 6, 10, 10, 40, 1, 1, 10, 6, 2, 10, 1, 1, 10, 6, 2, 2, 10, 2, 2, 6, 2, 10, 10, 1, 6, 10, 1, 6, 1, 2, 6, 10, 1, 6, 1, 1, 2, 6, 10, 10, 1, 10, 1, 10, 6, 6, 1, 2, 10, 1, 6, 10, 1, 1, 2, 6, 10, 2, 2, 9, 2, 10, 1, 50, 1, 10, 10, 2, 2, 1, 10, 10, 6, 1, 6, 6, 1, 1, 6, 6, 2, 10, 2, 6, 6, 2, 2, 10, 1, 6, 2, 6, 10, 10, 1, 6, 10, 6, 2, 6, 2, 10, 2, 10, 6, 1, 6, 2, 1, 10, 2, 1, 2, 10, 5, 6, 1, 2, 1, 10, 2, 1, 6, 1, 2, 10, 10, 10, 10, 2, 6, 2, 2, 10, 5, 2, 1, 9, 2, 10, 10, 2, 10, 6, 2, 10, 10, 10, 6, 2, 6, 10, 10, 6, 1, 1, 6, 2, 6, 1, 1, 6, 6, 9, 6, 0, 6, 2, 10, 10, 10, 10, 6, 1, 1, 2, 10, 6, 1, 10, 1, 1, 5, 6, 2, 10, 10, 6, 1, 1, 2, 6, 6, 1, 2, 1, 2, 1, 1, 10, 2, 10, 2, 6, 2, 2, 10, 2, 1, 2, 6, 6, 6, 1, 2, 1, 9, 1, 1, 6, 2, 10, 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1, 10, 10, 2, 6, 6, 6, 1, 10, 6, 1, 1, 10, 2, 10, 1, 2, 1, 10, 10, 2, 6, 1, 10, 6, 10, 2, 10, 6, 1, 10, 2, 1, 10, 2, 6, 1, 6, 1, 2, 2, 10, 6, 1, 6, 2, 2, 6, 10, 10, 10, 6, 2, 10, 6, 10, 1, 10, 2, 6, 10, 0, 2, 10, 10, 5, 2, 2, 6, 2, 1, 6, 6, 1, 1, 10, 6, 10, 1, 1, 10, 6, 1, 6, 2, 10, 2, 1, 2, 2, 6, 1, 1, 2, 6, 1, 4, 6, 9, 10, 2, 6, 6, 2, 1, 6, 1, 2, 2, 6, 5, 6, 6, 1, 1, 10, 6, 2, 6, 2, 2, 6, 10, 10, 6, 10, 2, 2, 10, 1, 1, 10, 6, 6, 2, 10, 10, 6, 1, 10, 6, 6, 2, 6, 6, 1, 2, 6, 2, 2, 1, 1, 6, 6, 1, 2, 1, 2, 10, 10, 6, 2, 6, 5, 2, 4, 10, 2, 6, 10, 6, 1, 1, 1, 6, 1, 10, 6, 10, 10, 1, 10, 10, 2, 1, 10, 6, 1, 1, 1, 2, 10, 9, 1, 6, 6, 6, 1, 6, 10, 10, 5, 10, 2, 10, 2, 2, 10, 2, 2, 2, 10, 6, 6, 1, 1, 2, 6, 1, 6, 10, 1, 10, 2, 2, 6, 2, 2, 2, 10, 10, 1, 1, 1, 10, 6, 1, 6, 6, 10, 10, 2, 1, 6, 1, 6, 10, 6, 1, 1, 2, 6, 1, 2, 2, 10, 6, 10, 10, 2, 6, 10, 2, 1, 6, 10, 2, 1, 1, 1, 6, 2, 10, 1, 6, 6, 10, 4, 2, 6, 2, 6, 2, 2, 1, 6, 10, 1, 1, 1, 6, 2, 2, 1, 6, 1, 5, 4, 2, 6, 10, 2, 10, 1, 1, 1, 6, 1, 1, 6, 2, 1, 2, 6, 1, 1, 1, 10, 10, 1, 6, 9, 2, 1, 6, 1, 10, 1, 2, 1, 2, 10, 2, 2, 10, 2, 2, 10, 10, 6, 1, 6, 50, 6, 10, 10, 6, 10, 1, 2, 2, 6, 4, 2, 6, 10, 2, 10, 10, 2, 2, 1, 2, 6, 10, 2, 9, 2, 2, 6, 10, 6, 1, 10, 6, 10, 1, 1, 1, 6, 1, 6, 1, 10, 2, 5, 1, 10, 10, 6, 1, 2, 6, 2, 6, 10, 10, 6, 10, 9, 1, 1, 1, 9, 1, 6, 2, 6, 1, 6, 6, 10, 6, 2, 6, 2, 1, 10, 1, 1, 10, 2, 6, 10, 10, 1, 10, 4, 1, 1, 1, 10, 1, 2, 1, 10, 6, 2, 2, 10, 2, 10, 1, 1, 1, 10, 2, 1, 10, 2, 4, 1, 2, 10, 2, 10, 2, 2, 1, 6, 2, 2, 6, 2, 6, 6, 2, 1, 10, 6, 10, 1, 1, 6, 2, 2, 10, 10, 1, 1, 6, 10, 2, 2, 2, 1, 6, 10, 2, 10, 2, 10, 10, 10, 10, 2, 10, 6, 2, 6, 10, 10, 2, 2, 1, 1, 10, 2, 2, 6, 6, 10, 10, 1, 1, 9, 1, 0, 0, 2, 2, 6, 1, 10, 1, 6, 10, 1, 2, 10, 1, 1, 2, 10, 10, 10, 2, 1, 10, 10, 10, 10, 10, 10, 1, 6, 2, 1, 10, 1, 2, 1, 10, 6, 10, 1, 10, 2, 0, 1, 0, 10, 2, 5, 10, 10, 6, 6, 1, 1, 1, 2, 2, 6, 1, 10, 10, 4, 10, 1, 10, 6, 10, 10, 6, 2, 6, 6, 6, 10, 1, 5, 2, 2, 1, 1, 2, 10, 10, 10, 2, 1, 1, 10, 1, 6, 2, 10, 1, 2, 6, 6, 0, 2, 10, 6, 1, 1, 1, 1, 4, 1, 2, 10, 2, 1, 1, 10, 2, 6, 10, 1, 10, 10, 1, 1, 2, 1, 1, 6, 1, 10, 10, 1, 2, 10, 10, 2, 6, 10, 1, 10, 6, 10, 6, 6, 2, 1, 10, 10, 1, 1, 1, 2, 6, 1, 2, 10, 2, 10, 1, 6, 2, 2, 6, 10, 2, 1, 6, 6, 10, 1, 10, 6, 10, 1, 10, 1, 10, 2, 10, 6, 6, 10, 6, 2, 2, 2, 2, 1, 6, 6, 6, 1, 1, 1, 6, 10, 6, 2, 5, 6, 10, 10, 2, 1, 6, 2, 6, 10, 10, 10, 1, 2, 10, 2, 2, 1, 1, 2, 1, 10, 2, 6, 10, 2, 6, 1, 10, 2, 10, 10, 2, 1, 6, 10, 10, 1, 6, 2, 6, 6, 10, 6, 2, 6, 1, 6, 6, 2, 10, 6, 10, 6, 5, 10, 10, 1, 6, 10, 1, 1, 6, 10, 6, 2, 10, 4, 2, 6, 6, 10, 10, 10, 2, 1, 10, 2, 6, 1, 2, 1, 10, 10, 1, 1, 6, 10, 1, 1, 10, 10, 10, 1, 1, 6, 0, 6, 10, 2, 2, 10, 5, 2, 10, 9, 2, 2, 6, 2, 2, 1, 2, 10, 2, 1, 1, 10, 1, 1, 2, 10, 1, 2, 1, 10, 2, 6, 6, 6, 6, 2, 1, 2, 6, 2, 10, 1, 6, 6, 10, 10, 1, 2, 1, 2, 2, 1, 10, 10, 6, 10, 6, 1, 1, 6, 10, 0, 10, 6, 6, 2, 2, 6, 1, 2, 10, 1, 2, 2, 1, 6, 1, 1, 2, 10, 1, 2, 1, 1, 6, 1, 1, 1, 2, 2, 2, 2, 1, 6, 1, 10, 10, 6, 1, 6, 1, 6, 2, 10, 6, 10, 6, 6, 10, 1, 10, 6, 10, 10, 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10, 2, 1, 6, 9, 6, 2, 10, 2, 6, 6, 10, 2, 6, 10, 0, 6, 10, 6, 2, 1, 10, 10, 2, 1, 10, 10, 10, 1, 1, 10, 6, 2, 0, 2, 1, 10, 6, 9, 6, 2, 1, 10, 2, 10, 6, 2, 6, 6, 10, 2, 2, 1, 1, 6, 2, 10, 10, 1, 0, 2, 2, 1, 2, 4, 6, 6, 10, 6, 10, 6, 6, 2, 2, 2, 2, 4, 1, 2, 6, 4, 2, 0, 6, 10, 6, 2, 6, 6, 2, 1, 2, 2, 6, 5, 4, 10, 1, 4, 1, 1, 2, 2, 6, 10, 6, 1, 2, 2, 10, 1, 2, 6, 2, 6, 2, 2, 6, 1, 2, 2, 2, 1, 6, 1, 6, 1, 2, 2, 10, 1, 6, 2, 1, 2, 10, 4, 6, 9, 1, 6, 5, 10, 10, 10, 6, 10, 1, 1, 1, 1, 6, 6, 6, 10, 10, 1, 10, 2, 2, 1, 1, 6, 1, 10, 6, 5, 1, 6, 1, 6, 6, 6, 10, 1, 10, 2, 2, 2, 10, 10, 10, 10, 10, 6, 6, 10, 10, 2, 1, 2, 1, 1, 10, 10, 1, 10, 6, 1, 1, 6, 10, 6, 6, 10, 10, 10, 6, 6, 1, 10, 10, 1, 6, 10, 1, 2, 2, 10, 10, 10, 6, 2, 6, 2, 2, 2, 10, 1, 1, 2, 2, 2, 10, 10, 2, 1, 2, 6, 1, 10, 1, 1, 2, 10, 2, 1, 1, 10, 2, 2, 6, 2, 2, 1, 1, 10, 2, 6, 2, 1, 6, 6, 2, 2, 2, 10, 10, 10, 1, 2, 1, 10, 1, 10, 6, 1, 1, 10, 6, 2, 1, 1, 6, 6, 1, 10, 1, 6, 6, 6, 6, 1, 10, 10, 10, 2, 10, 6, 10, 10, 6, 10, 6, 10, 6, 10, 10, 3, 6, 1, 6, 1, 1, 10, 10, 10, 10, 2, 2, 1, 2, 6, 2, 2, 10, 2, 2, 6, 10, 6, 1, 6, 6, 2, 2, 10, 10, 10, 10, 6, 2, 10, 2, 2, 10, 6, 10, 10, 5, 10, 6, 2, 2, 10, 1, 2, 2, 1, 2, 2, 2, 1, 4, 10, 1, 1, 2, 10, 6, 6, 6, 2, 2, 6, 1, 10, 6, 10, 2, 1, 10, 10, 10, 1, 1, 2, 6, 2, 2, 2, 2, 2, 10, 2, 10, 1, 2, 6, 2, 6, 6, 6, 1, 1, 10, 6, 2, 6, 9, 1, 1, 2, 3, 2, 2, 1, 2, 10, 10, 10, 10, 6, 1, 10, 1, 2, 6, 10, 10, 1, 2, 6, 6, 6, 9, 2, 10, 10, 1, 1, 1, 10, 10, 1, 6, 6, 6, 1, 10, 10, 2, 10, 10, 1, 2, 5, 10, 1, 2, 6, 2, 6, 10, 2, 2, 6, 2, 6, 2, 1, 6, 10, 6, 10, 6, 6, 2, 1, 2, 10, 2, 2, 1, 6, 6, 2, 2, 6, 10, 2, 10, 6, 1, 1, 10, 1, 1, 10, 10, 2, 6, 1, 6, 2, 2, 6, 6, 6, 6, 6, 6, 10, 2, 10, 10, 10, 10, 2, 1, 1, 10, 10, 10, 10, 2, 10, 2, 10, 1, 1, 6, 1, 1, 6, 1, 1, 1, 6, 1, 1, 1, 1, 10, 6, 10, 0, 6, 2, 2, 2, 1, 2, 2, 10, 10, 1, 10, 2, 2, 2, 10, 1, 10, 1, 4, 10, 2, 2, 2, 10, 6, 0, 10, 10, 6, 1, 1, 6, 6, 1, 1, 6, 2, 2, 2, 10, 10, 2, 10, 6, 1, 1, 2, 6, 2, 6, 6, 1, 2, 2, 6, 10, 1, 1, 6, 2, 1, 1, 10, 6, 10, 1, 10, 1, 6, 2, 10, 10, 6, 1, 2, 10, 6, 1, 9, 2, 1, 6, 2, 6, 6, 2, 1, 10, 2, 1, 1, 2, 2, 2, 1, 1, 6, 5, 6, 1, 2, 1, 2, 2, 6, 1, 6, 1, 2, 2, 6, 2, 2, 10, 10, 5, 6, 2, 1, 10, 2, 10, 2, 1, 1, 2, 10, 1, 10, 2, 0, 10, 10, 10, 6, 1, 10, 6, 1, 2, 6, 2, 6, 9, 6, 1, 6, 2, 2, 10, 0, 10, 2, 1, 2, 9, 1, 10, 2, 6, 1, 5, 1, 1, 6, 2, 2, 10, 10, 6, 10, 6, 2, 2, 6, 1, 3, 6, 1, 1, 1, 1, 1, 1, 10, 10, 2, 6, 10, 2, 6, 10, 2, 10, 1, 10, 6, 2, 10, 1, 1, 2, 10, 1, 2, 1, 2, 1, 1, 6, 5, 10, 2, 2, 10, 2, 1, 1, 9, 10, 2, 6, 2, 6, 10, 10, 2, 2, 10, 2, 6, 6, 2, 6, 6, 6, 6, 10, 2, 10, 1, 6, 6, 2, 10, 1, 6, 1, 2, 10, 6, 2, 10, 4, 10, 2, 2, 10, 6, 10, 2, 10, 6, 6, 6, 2, 10, 1, 6, 2, 2, 10, 1, 1, 10, 1, 5, 10, 10, 2, 10, 2, 6, 1, 10, 6, 6, 10, 1, 10, 1, 1, 1, 10, 2, 9, 2, 6, 2, 1, 1, 10, 1, 6, 2, 1, 10, 2, 10, 10, 1, 2, 9, 6, 6, 4, 2, 2, 6, 2, 1, 10, 2, 10, 2, 6, 6, 2, 2, 6, 1, 2, 1, 6, 6, 10, 2, 6, 6, 6, 1, 2, 6, 10, 10, 1, 10, 6, 1, 6, 6, 6, 2, 6, 6, 1, 1, 10, 6, 6, 6, 2, 2, 10, 6, 1, 6, 1, 2, 10, 6, 2, 2, 2, 2, 10, 10, 10, 2, 1, 10, 10, 1, 10, 6, 2, 10, 6, 10, 10, 1, 2, 10, 10, 1, 2, 2, 6, 6, 10, 6, 1, 6, 10, 1, 1, 10, 1, 6, 1, 2, 2, 1, 10, 10, 2, 10, 6, 6, 2, 1, 2, 10, 2, 2, 1, 1, 2, 10, 2, 6, 1, 10, 10, 2, 1, 2, 6, 10, 2, 1, 2, 10, 1, 6, 1, 2, 2, 6, 1, 1, 1, 6, 1, 1, 2, 1, 2, 6, 10, 1, 10, 10, 5, 1, 2, 6, 6, 2, 10, 5, 10, 6, 10, 10, 10, 6, 10, 10, 5, 1, 1, 10, 10, 1, 2, 10, 10, 10, 10, 1, 2, 2, 1, 6, 10, 1, 2, 1, 2, 2, 10, 10, 1, 1, 10, 1, 4, 6, 1, 1, 10, 6, 6, 2, 6, 2, 2, 6, 1, 2, 5, 1, 10, 10, 6, 6, 6, 2, 1, 2, 2, 1, 10, 2, 2, 6, 2, 6, 10, 2, 2, 10, 6, 1, 6, 10, 1, 2, 1, 5, 10, 10, 10, 1, 2, 10, 6, 6, 1, 6, 1, 2, 2, 10, 1, 6, 2, 1, 2, 6, 5, 2, 2, 10, 10, 2, 6, 9, 10, 6, 1, 6, 2, 10, 2, 6, 10, 10, 10, 6, 1, 2, 10, 2, 1, 6, 10, 6, 6, 2, 10, 9, 1, 10, 2, 6, 2, 6, 6, 10, 2, 6, 6, 1, 1, 6, 6, 6, 10, 6, 2, 10, 1, 2, 1, 10, 10, 6, 10, 6, 2, 2, 1, 6, 1, 1, 2, 6, 1, 1, 10, 2, 2, 6, 4, 10, 1, 1, 6, 2, 10, 10, 1, 10, 2, 2, 2, 6, 2, 6, 6, 2, 1, 2, 6, 6, 2, 10, 1, 1, 10, 6, 2, 1, 10, 6, 0, 0, 6, 10, 1, 10, 10, 1, 1, 4, 10, 2, 10, 2, 6, 2, 2, 6, 1, 10, 10, 10, 1, 10, 10, 2, 10, 10, 2, 9, 6, 1, 10, 6, 10, 10, 6, 2, 6, 10, 1, 10, 1, 1, 1, 10, 6, 1, 2, 6, 5, 2, 2, 2, 10, 5, 1, 2, 10, 1, 1, 2, 1, 10, 10, 1, 10, 1, 6, 2, 6, 2, 1, 2, 2, 6, 2, 10, 2, 2, 10, 2, 2, 6, 1, 1, 6, 2, 2, 1, 1, 2, 2, 6, 1, 2, 1, 6, 10, 1, 10, 2, 2, 9, 10, 10, 1, 1, 6, 2, 1, 10, 1, 2, 6, 10, 10, 6, 6, 2, 10, 10, 6, 1, 2, 1, 2, 6, 10, 2, 6, 2, 2, 2, 1, 10, 1, 10, 6, 1, 10, 6, 6, 1, 6, 6, 1, 6, 1, 9, 2, 2, 1, 10, 2, 10, 1, 6, 2, 1, 10, 6, 6, 10, 10, 10, 2, 6, 10, 6, 10, 6, 1, 2, 2, 2, 1, 10, 1, 10, 10, 10, 1, 1, 6, 6, 6, 2, 10, 1, 10, 6, 6, 6, 2, 2, 6, 2, 6, 10, 10, 6, 1, 1, 1, 1, 1, 10, 1, 6, 10, 6, 1, 10, 6, 10, 2, 2, 2, 1, 10, 10, 1, 2, 1, 1, 2, 2, 6, 6, 1, 1, 0, 10, 10, 2, 2, 2, 10, 1, 10, 10, 6, 2, 10, 1, 1, 2, 1, 10, 2, 6, 10, 10, 2, 10, 1, 6, 1, 10, 2, 10, 1, 2, 2, 6, 6, 1, 1, 6, 10, 1, 2, 6, 10, 2, 6, 1, 2, 2, 2, 5, 10, 2, 2, 1, 1, 10, 10, 1, 6, 1, 6, 2, 10, 10, 2, 6, 10, 2, 10, 9, 6, 10, 6, 1, 2, 1, 1, 1, 10, 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10, 10, 5, 10, 2, 1, 6, 1, 1, 10, 10, 10, 6, 2, 1, 10, 6, 2, 6, 6, 2, 1, 10, 1, 2, 2, 10, 1, 6, 1, 6, 1, 1, 4, 10, 6, 1, 10, 10, 1, 1, 6, 1, 2, 10, 2, 2, 6, 6, 10, 6, 10, 2, 10, 2, 2, 10, 2, 1, 2, 2, 10, 10, 6, 1, 6, 1, 6, 4, 2, 10, 10, 5, 6, 10, 6, 6, 6, 6, 6, 2, 1, 1, 10, 6, 6, 6, 6, 6, 6, 1, 1, 6, 2, 1, 9, 6, 1, 10, 10, 6, 2, 6, 1, 2, 2, 10, 1, 10, 1, 2, 6, 6, 1, 2, 6, 6, 2, 2, 5, 2, 10, 1, 1, 2, 10, 6, 10, 10, 1, 2, 10, 1, 2, 2, 1, 6, 6, 2, 2, 2, 6, 6, 5, 1, 6, 1, 10, 2, 10, 10, 10, 6, 2, 2, 2, 1, 4, 10, 1, 10, 10, 10, 10, 6, 1, 4, 6, 10, 1, 1, 10, 10, 10, 2, 1, 6, 1, 2, 2, 2, 10, 6, 6, 1, 10, 10, 1, 1, 4, 10, 6, 6, 10, 1, 1, 2, 2, 1, 6, 1, 1, 6, 1, 1, 1, 2, 10, 6, 1, 10, 6, 10, 6, 1, 10, 2, 1, 10, 6, 1, 2, 6, 2, 6, 2, 10, 2, 10, 10, 10, 1, 1, 2, 2, 6, 2, 1, 2, 10, 6, 6, 10, 2, 1, 1, 10, 2, 2, 2, 10, 1, 2, 1, 1, 1, 2, 1, 4, 6, 2, 2, 6, 6, 10, 4, 10, 2, 6, 10, 2, 10, 1, 6, 1, 10, 6, 10, 6, 10, 6, 10, 10, 6, 10, 6, 1, 10, 2, 1, 10, 6, 10, 6, 6, 1, 10, 0, 2, 6, 2, 2, 6, 1, 10, 4, 2, 1, 2, 6, 1, 10, 6, 2, 2, 2, 6, 6, 10, 1, 6, 2, 1, 2, 2, 2, 2, 1, 6, 2, 6, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 10, 2, 1, 10, 2, 10, 6, 1, 10, 10, 1, 10, 1, 2, 6, 2, 2, 10, 6, 1, 10, 10, 2, 10, 6, 10, 2, 3, 4, 2, 2, 6, 2, 1, 10, 10, 10, 10, 10, 1, 10, 1, 10, 10, 1, 2, 10, 6, 10, 2, 10, 6, 2, 2, 1, 6, 2, 1, 2, 2, 6, 10, 6, 2, 6, 10, 2, 6, 1, 5, 2, 1, 2, 1, 2, 6, 6, 10, 2, 10, 10, 10, 2, 1, 2, 6, 6, 1, 2, 10, 10, 1, 2, 10, 2, 1, 1, 10, 2, 1, 2, 10, 10, 6, 6, 6, 10, 6, 6, 2, 9, 6, 2, 10, 2, 2, 2, 5, 10, 1, 2, 10, 10, 10, 10, 1, 5, 10, 10, 10, 10, 1, 2, 10, 10, 1, 6, 10, 1, 1, 6, 2, 6, 6, 10, 10, 10, 1, 10, 10, 1, 2, 10, 10, 5, 6, 10, 6, 6, 1, 10, 2, 1, 2, 2, 1, 1, 4, 6, 10, 1, 1, 10, 6, 10, 2, 2, 10, 2, 2, 2, 1, 2, 9, 6, 10, 6, 10, 1, 6, 2, 1, 6, 6, 10, 1, 6, 6, 10, 1, 2, 6, 1, 1, 10, 1, 1, 2, 10, 6, 6, 1, 6, 2, 10, 1, 5, 2, 1, 2, 10, 6, 2, 2, 2, 6, 1, 2, 10, 6, 10, 10, 1, 1, 10, 10, 10, 1, 1, 1, 2, 2, 10, 6, 6, 6, 10, 10, 1, 2, 6, 2, 10, 1, 2, 1, 6, 6, 0, 10, 1, 1, 10, 10, 2, 6, 10, 2, 6, 10, 10, 0, 10, 6, 6, 6, 1, 2, 1, 2, 6, 6, 10, 2, 10, 6, 6, 1, 6, 5, 1, 6, 6, 6, 2, 1, 1, 2, 6, 6, 2, 2, 2, 1, 2, 1, 10, 10, 6, 6, 10, 10, 2, 6, 2, 10, 6, 10, 6, 10, 6, 1, 1, 1, 2, 1, 10, 2, 6, 10, 2, 1, 10, 10, 1, 10, 2, 2, 6, 2, 10, 2, 2, 40, 6, 1, 6, 2, 6, 1, 6, 6, 1, 10, 10, 10, 6, 2, 6, 1, 10, 10, 1, 2, 2, 10, 6, 6, 2, 5, 10, 1, 1, 1, 6, 10, 2, 2, 1, 10, 10, 10, 9, 2, 2, 2, 10, 2, 6, 6, 6, 2, 5, 10, 10, 6, 1, 2, 6, 6, 2, 1, 10, 6, 2, 1, 10, 6, 6, 10, 10, 2, 6, 6, 10, 2, 6, 6, 2, 10, 6, 2, 2, 10, 2, 10, 6, 6, 2, 5, 10, 6, 10, 1, 4, 1, 2, 2, 10, 6, 6, 10, 10, 2, 1, 1, 6, 6, 10, 6, 6, 6, 6, 2, 4, 1, 6, 1, 2, 10, 0, 10, 10, 6, 1, 10, 1, 6, 10, 2, 10, 9, 2, 2, 1, 2, 6, 10, 6, 1, 5, 1, 10, 6, 6, 1, 10, 1, 10, 2, 10, 10, 1, 6, 2, 1, 6, 1, 1, 2, 2, 1, 10, 6, 6, 10, 10, 6, 2, 6, 2, 1, 6, 6, 6, 1, 10, 6, 2, 10, 10, 10, 10, 1, 6, 2, 1, 6, 1, 2, 10, 6, 1, 1, 2, 10, 6, 6, 6, 6, 1, 10, 10, 1, 1, 10, 6, 6, 6, 6, 1, 10, 2, 2, 6, 1, 10, 2, 2, 2, 10, 10, 1, 10, 9, 1, 1, 1, 10, 1, 1, 1, 6, 1, 10, 6, 6, 1, 2, 6, 6, 10, 10, 10, 2, 1, 2, 10, 6, 2, 1, 10, 10, 2, 2, 10, 1, 2, 6, 6, 2, 1, 1, 10, 10, 2, 6, 10, 6, 1, 9, 0, 2, 9, 2, 1, 10, 2, 10, 1, 10, 6, 2, 10, 1, 6, 6, 6, 1, 6, 6, 6, 2, 10, 2, 1, 1, 8, 2, 1, 10, 10, 10, 2, 1, 1, 1, 10, 6, 1, 10, 6, 1, 2, 6, 10, 10, 6, 10, 1, 6, 10, 6, 6, 6, 10, 10, 10, 2, 10, 1, 1, 10, 2, 10, 1, 2, 10, 1, 6, 6, 10, 1, 2, 10, 2, 10, 6, 6, 2, 1, 10, 2, 10, 2, 2, 1, 1, 6, 2, 0, 2, 6, 1, 2, 2, 10, 2, 4, 10, 6, 10, 1, 6, 9, 1, 1, 6, 6, 1, 1, 6, 2, 6, 1, 10, 6, 6, 2, 10, 1, 2, 2, 10, 2, 2, 10, 10, 10, 10, 10, 1, 1, 10, 1, 10, 1, 1, 2, 1, 2, 9, 10, 10, 6, 6, 2, 10, 10, 2, 6, 2, 0, 2, 6, 2, 2, 1, 6, 2, 2, 6, 5, 6, 1, 10, 1, 10, 6, 1, 10, 6, 6, 6, 1, 6, 1, 2, 10, 2, 10, 2, 10, 10, 1, 6, 2, 2, 2, 2, 6, 6, 1, 2, 2, 6, 1, 2, 6, 6, 6, 10, 10, 4, 6, 6, 1, 1, 10, 2, 6, 2, 6, 10, 10, 2, 10, 1, 1, 1, 6, 2, 6, 2, 1, 6, 0, 1, 1, 2, 2, 2, 6, 6, 10, 10, 6, 10, 2, 1, 2, 6, 2, 6, 10, 1, 10, 2, 6, 6, 1, 10, 6, 9, 10, 6, 9, 6, 2, 2, 2, 2, 10, 1, 2, 2, 6, 2, 2, 1, 6, 1, 10, 2, 1, 10, 1, 2, 1, 10, 5, 1, 10, 2, 2, 6, 6, 2, 1, 1, 2, 1, 10, 2, 2, 10, 2, 1, 1, 1, 6, 2, 10, 2, 1, 6, 1, 2, 2, 2, 2, 1, 2, 10, 1, 10, 5, 10, 2, 1, 1, 6, 6, 6, 10, 10, 2, 6, 1, 6, 6, 2, 2, 2, 1, 2, 4, 10, 10, 10, 10, 6, 2, 10, 10, 1, 10, 1, 2, 10, 6, 6, 1, 6, 10, 6, 2, 6, 1, 1, 6, 6, 10, 10, 1, 6, 10, 2, 10, 1, 1, 2, 1, 1, 1, 6, 6, 6, 1, 10, 1, 10, 2, 10, 2, 2, 1, 1, 10, 10, 2, 10, 1, 10, 1, 10, 2, 1, 2, 2, 1, 1, 1, 6, 1, 6, 2, 10, 2, 10, 10, 10, 10, 2, 10, 2, 1, 6, 10, 6, 10, 1, 6, 10, 1, 1, 2, 6, 10, 1, 0, 6, 1, 6, 2, 10, 10, 1, 1, 1, 2, 2, 10, 10, 6, 1, 1, 10, 2, 10, 10, 6, 1, 6, 10, 6, 10, 6, 10, 1, 10, 10, 6, 6, 9, 10, 1, 0, 2, 1, 5, 2, 1, 10, 6, 2, 2, 6, 6, 6, 2, 10, 2, 6, 1, 2, 10, 1, 6, 6, 10, 0, 1, 1, 10, 2, 6, 1, 2, 1, 10, 2, 10, 6, 2, 2, 6, 6, 2, 6, 2, 1, 2, 2, 5, 1, 1, 10, 6, 2, 6, 10, 6, 1, 2, 10, 1, 1, 1, 6, 6, 6, 1, 2, 2, 10, 2, 2, 1, 5, 6, 1, 6, 6, 6, 10, 10, 10, 10, 2, 6, 10, 10, 10, 6, 10, 10, 2, 1, 2, 2, 2, 2, 2, 2, 10, 1, 10, 2, 10, 1, 2, 6, 10, 6, 6, 2, 2, 10, 1, 6, 6, 6, 1, 1, 1, 6, 2, 10, 2, 2, 2, 1, 10, 2, 6, 6, 6, 9, 10, 0, 1, 10, 1, 2, 10, 2, 6, 6, 6, 6, 1, 2, 10, 10, 1, 6, 6, 6, 6, 1, 6, 10, 2, 1, 6, 6, 0, 1, 6, 6, 2, 1, 10, 2, 6, 2, 1, 6, 6, 10, 2, 10, 1, 1, 2, 10, 2, 1, 2, 10, 2, 6, 2, 10, 10, 1, 1, 1, 2, 1, 0, 1, 10, 1, 2, 2, 1, 1, 2, 1, 6, 2, 1, 6, 2, 6, 1, 1, 4, 10, 2, 10, 6, 2, 2, 1, 6, 1, 10, 6, 1, 1, 1, 6, 4, 1, 9, 2, 1, 6, 1, 1, 2, 2, 10, 2, 1, 2, 1, 2, 10, 1, 6, 2, 1, 2, 6, 2, 1, 1, 2, 2, 2, 2, 0, 6, 2, 6, 2, 2, 10, 2, 1, 6, 1, 2, 1, 6, 10, 2, 2, 6, 2, 10, 2, 6, 1, 1, 1, 6, 10, 0, 1, 10, 2, 6, 6, 1, 10, 10, 10, 10, 6, 10, 6, 10, 6, 2, 2, 2, 6, 10, 2, 2, 2, 10, 6, 10, 6, 6, 2, 10, 6, 6, 10, 6, 9, 6, 10, 6, 1, 6, 6, 6, 6, 10, 6, 6, 1, 6, 10, 1, 1, 2, 6, 1, 2, 10, 6, 6, 6, 10, 6, 2, 10, 10, 10, 2, 4, 5, 10, 1, 1, 1, 10, 10, 6, 6, 6, 6, 1, 1, 10, 10, 1, 9, 2, 2, 1, 1, 6, 10, 2, 1, 10, 6, 1, 2, 5, 10, 1, 10, 2, 2, 2, 6, 2, 10, 9, 10, 10, 1, 1, 6, 6, 2, 6, 2, 1, 10, 2, 2, 10, 6, 6, 2, 10, 2, 1, 1, 1, 2, 6, 9, 9, 6, 1, 10, 1, 2, 1, 6, 6, 10, 10, 2, 6, 6, 1, 1, 1, 10, 2, 1, 2, 2, 2, 2, 2, 10, 1, 10, 1, 6, 1, 2, 1, 10, 9, 2, 2, 6, 6, 6, 1, 10, 1, 2, 10, 1, 6, 2, 6, 6, 2, 10, 2, 6, 6, 10, 10, 1, 6, 1, 6, 6, 6, 10, 4, 1, 6, 1, 10, 1, 1, 6, 1, 10, 2, 1, 10, 1, 2, 10, 2, 1, 1, 10, 10, 0, 6, 1, 6, 2, 1, 2, 2, 10, 10, 6, 0, 1, 6, 10, 2, 2, 1, 9, 2, 6, 10, 6, 2, 1, 2, 2, 2, 10, 6, 0, 2, 1, 6, 10, 10, 2, 10, 2, 1, 1, 6, 10, 2, 2, 2, 1, 6, 2, 2, 10, 1, 1, 2, 1, 10, 1, 6, 6, 10, 10, 6, 1, 2, 10, 6, 6, 10, 10, 2, 10, 6, 6, 2, 10, 6, 1, 6, 6, 2, 6, 6, 1, 2, 6, 6, 10, 9, 1, 6, 1, 1, 10, 10, 9, 1, 6, 1, 1, 2, 2, 2, 10, 1, 2, 6, 5, 1, 2, 1, 0, 10, 6, 6, 1, 10, 2, 10, 0, 10, 4, 4, 10, 9, 9, 2, 6, 6, 10, 6, 4, 6, 6, 2, 6, 1, 10, 2, 6, 10, 2, 6, 10, 2, 1, 6, 10, 2, 6, 10, 1, 10, 6, 1, 6, 1, 1, 1, 6, 10, 2, 2, 0, 2, 1, 1, 10, 0, 2, 10, 10, 2, 10, 2, 1, 10, 2, 6, 10, 2, 2, 1, 1, 2, 6, 10, 10, 10, 2, 6, 2, 2, 6, 10, 2, 10, 1, 1, 2, 2, 6, 10, 6, 2, 2, 1, 6, 2, 2, 1, 2, 6, 1, 6, 10, 6, 1, 6, 10, 10, 1, 2, 2, 1, 10, 10, 6, 2, 10, 1, 10, 10, 2, 6, 2, 10, 6, 10, 10, 6, 2, 1, 1, 10, 2, 1, 6, 1, 10, 10, 10, 2, 10, 10, 1, 2, 2, 2, 1, 2, 2, 2, 10, 1, 6, 10, 1, 10, 1, 2, 4, 2, 6, 10, 10, 4, 2, 6, 2, 1, 10, 6, 6, 1, 10, 1, 1, 10, 6, 2, 6, 2, 6, 1, 10, 1, 10, 2, 6, 2, 6, 6, 10, 1, 10, 2, 10, 10, 2, 2, 10, 2, 1, 10, 2, 1, 1, 10, 9, 2, 2, 1, 6, 6, 6, 2, 1, 10, 2, 1, 2, 2, 2, 1, 6, 10, 10, 6, 1, 6, 2, 6, 2, 6, 6, 2, 2, 6, 6, 1, 2, 10, 2, 10, 2, 1, 10, 1, 2, 1, 10, 6, 1, 2, 1, 10, 10, 2, 10, 2, 10, 6, 1, 1, 6, 1, 2, 2, 10, 10, 6, 6, 10, 40, 6, 6, 2, 2, 10, 2, 6, 10, 2, 2, 6, 1, 1, 10, 1, 10, 2, 1, 1, 1, 2, 6, 2, 2, 6, 2, 1, 1, 2, 10, 6, 4, 10, 1, 4, 2, 10, 1, 1, 10, 2, 2, 2, 2, 6, 10, 2, 6, 1, 2, 2, 2, 1, 4, 2, 2, 9, 2, 2, 10, 6, 10, 6, 6, 2, 10, 1, 1, 1, 10, 1, 2, 2, 1, 2, 6, 10, 6, 6, 6, 2, 10, 1, 10, 10, 10, 1, 2, 10, 1, 6, 1, 5, 2, 6, 6, 6, 1, 1, 10, 10, 10, 6, 2, 2, 2, 6, 2, 10, 9, 6, 1, 1, 2, 6, 2, 2, 1, 2, 6, 6, 1, 6, 1, 6, 1, 1, 1, 6, 5, 2, 6, 10, 6, 10, 10, 6, 1, 6, 10, 1, 1, 6, 6, 6, 10, 6, 10, 2, 1, 6, 1, 2, 6, 6, 2, 6, 6, 10, 6, 6, 2, 6, 2, 10, 10, 6, 2, 6, 6, 10, 10, 6, 1, 10, 1, 2, 1, 6, 1, 6, 10, 10, 6, 6, 10, 1, 0, 6, 6, 2, 5, 6, 1, 2, 2, 10, 6, 2, 10, 2, 6, 1, 2, 2, 2, 6, 6, 10, 1, 1, 1, 10, 10, 0, 10, 2, 10, 1, 1, 1, 6, 6, 6, 1, 2, 2, 2, 1, 2, 6, 2, 2, 2, 2, 1, 2, 1, 6, 1, 2, 10, 2, 10, 1, 10, 10, 2, 2, 6, 10, 2, 6, 2, 1, 10, 10, 2, 10, 1, 1, 2, 2, 1, 6, 10, 6, 2, 10, 1, 10, 2, 10, 1, 10, 2, 6, 10, 10, 10, 1, 2, 6, 10, 2, 6, 1, 10, 2, 6, 6, 2, 5, 2, 4, 9, 10, 10, 6, 2, 1, 6, 2, 6, 1, 10, 2, 10, 6, 10, 10, 2, 2, 10, 1, 2, 2, 2, 6, 10, 1, 10, 6, 1, 2, 10, 2, 10, 6, 6, 10, 6, 6, 2, 1, 6, 10, 10, 2, 2, 1, 5, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 10, 2, 6, 1, 1, 6, 1, 2, 10, 2, 2, 1, 10, 6, 2, 2, 6, 6, 0, 10, 2, 10, 10, 10, 1, 6, 1, 50, 6, 1, 6, 1, 6, 10, 6, 1, 1, 10, 2, 6, 6, 5, 2, 6, 10, 1, 5, 9, 1, 6, 10, 2, 1, 10, 1, 10, 1, 2, 2, 6, 6, 6, 10, 1, 6, 2, 6, 2, 2, 6, 6, 2, 10, 2, 10, 2, 2, 10, 6, 10, 6, 2, 2, 10, 2, 10, 10, 10, 2, 6, 10, 10, 6, 0, 1, 1, 1, 10, 10, 1, 1, 2, 10, 10, 6, 2, 6, 2, 2, 1, 10, 10, 10, 9, 2, 1, 1, 1, 2, 2, 1, 10, 2, 1, 10, 6, 2, 6, 1, 2, 10, 10, 6, 2, 6, 1, 6, 9, 10, 6, 10, 2, 2, 6, 6, 1, 6, 2, 2, 2, 10, 6, 2, 4, 0, 10, 10, 10, 2, 6, 6, 2, 1, 6, 2, 6, 6, 10, 1, 6, 6, 6, 1, 2, 2, 1, 10, 1, 2, 10, 1, 1, 10, 10, 6, 10, 1, 6, 10, 2, 5, 1, 6, 1, 10, 10, 2, 1, 1, 1, 10, 10, 6, 6, 10, 2, 1, 10, 10, 10, 6, 1, 1, 6, 10, 1, 2, 1, 2, 2, 10, 10, 1, 6, 6, 1, 2, 1, 10, 2, 1, 6, 1, 6, 1, 1, 6, 6, 1, 10, 6, 1, 1, 1, 10, 10, 1, 10, 9, 2, 2, 10, 1, 2, 0, 1, 10, 6, 6, 2, 1, 10, 6, 10, 1, 1, 2, 6, 2, 2, 6, 10, 1, 6, 1, 6, 1, 10, 6, 6, 10, 2, 6, 2, 10, 1, 2, 1, 2, 6, 0, 10, 10, 6, 10, 10, 10, 10, 6, 6, 10, 6, 2, 2, 6, 10, 1, 6, 2, 1, 2, 6, 1, 10, 10, 1, 1, 1, 10, 2, 2, 6, 6, 10, 1, 2, 6, 10, 6, 6, 6, 1, 1, 6, 1, 2, 10, 6, 6, 2, 2, 6, 6, 6, 2, 2, 6, 10, 2, 6, 2, 6, 6, 1, 0, 10, 10, 1, 2, 1, 6, 10, 1, 2, 2, 1, 6, 2, 10, 2, 10, 6, 0, 10, 1, 6, 10, 1, 6, 1, 6, 2, 1, 6, 6, 6, 1, 2, 1, 6, 1, 2, 0, 6, 1, 6, 6, 10, 9, 10, 1, 9, 6, 2, 4, 6, 2, 1, 10, 1, 1, 6, 10, 6, 6, 2, 2, 0, 10, 10, 1, 2, 2, 6, 10, 6, 10, 10, 2, 2, 6, 6, 1, 2, 6, 10, 6, 6, 10, 1, 1, 2, 2, 2, 2, 2, 1, 6, 1, 1, 10, 2, 1, 2, 6, 1, 6, 2, 6, 1, 6, 2, 1, 6, 6, 6, 1, 1, 2, 10, 6, 6, 10, 6, 2, 2, 2, 9, 2, 10, 1, 1, 10, 0, 1, 2, 1, 4, 6, 1, 6, 10, 10, 2, 1, 6, 2, 6, 10, 6, 1, 6, 10, 6, 6, 1, 2, 2, 2, 2, 2, 1, 9, 10, 1, 6, 10, 6, 1, 10, 6, 1, 10, 6, 2, 2, 10, 1, 4, 2, 2, 6, 6, 1, 6, 1, 6, 6, 2, 6, 10, 1, 2, 1, 10, 1, 10, 6, 6, 10, 1, 1, 1, 1, 10, 1, 1, 10, 2, 1, 6, 6, 2, 6, 6, 2, 1, 1, 10, 1, 2, 10, 2, 6, 6, 1, 10, 10, 10, 6, 10, 6, 1, 2, 10, 10, 1, 6, 6, 1, 1, 1, 2, 10, 10, 1, 2, 6, 6, 2, 2, 2, 6, 1, 1, 2, 2, 1, 1, 1, 6, 6, 2, 1, 2, 1, 6, 1, 1, 1, 1, 10, 10, 10, 6, 6, 6, 10, 10, 1, 1, 6, 6, 6, 6, 10, 6, 6, 1, 2, 1, 2, 2, 10, 1, 10, 1, 1, 6, 10, 6, 1, 2, 6, 2, 1, 10, 1, 10, 10, 6, 10, 2, 1, 2, 10, 6, 10, 1, 2, 6, 6, 6, 10, 1, 10, 6, 1, 1, 2, 10, 6, 10, 1, 1, 10, 2, 0, 2, 10, 2, 2, 1, 1, 1, 10, 10, 6, 10, 6, 10, 1, 2, 1, 10, 10, 10, 6, 6, 2, 6, 10, 6, 6, 1, 6, 6, 10, 6, 10, 10, 6, 6, 1, 10, 6, 2, 2, 10, 2, 2, 6, 1, 1, 6, 2, 10, 6, 6, 1, 2, 2, 1, 2, 2, 6, 10, 6, 10, 2, 1, 2, 10, 10, 1, 1, 1, 10, 6, 1, 1, 10, 9, 10, 2, 2, 2, 2, 2, 2, 2, 1, 2, 10, 6, 1, 1, 1, 6, 1, 6, 2, 2, 6, 1, 6, 1, 6, 1, 2, 4, 6, 6, 10, 1, 6, 2, 6, 1, 10, 6, 10, 2, 1, 6, 10, 10, 6, 2, 6, 2, 6, 10, 2, 6, 1, 6, 1, 1, 5, 2, 2, 10, 1, 1, 1, 2, 10, 6, 2, 6, 10, 1, 10, 6, 10, 2, 10, 1, 6, 1, 6, 10, 2, 2, 2, 2, 2, 10, 6, 1, 2, 4, 10, 6, 1, 6, 1, 10, 1, 10, 1, 1, 1, 2, 6, 10, 10, 2, 2, 1, 1, 6, 10, 1, 6, 6, 10, 10, 10, 10, 6, 10, 10, 10, 6, 10, 10, 10, 2, 2, 1, 1, 2, 6, 2, 6, 6, 10, 2, 10, 1, 6, 0, 2, 1, 6, 2, 6, 1, 1, 2, 1, 6, 1, 1, 1, 1, 2, 10, 10, 10, 6, 2, 6, 9, 10, 2, 10, 1, 1, 6, 6, 10, 2, 1, 1, 1, 10, 2, 10, 1, 10, 1, 6, 2, 10, 2, 1, 2, 6, 1, 10, 2, 10, 10, 10, 2, 10, 2, 10, 2, 10, 10, 6, 1, 10, 1, 6, 6, 2, 1, 1, 10, 10, 10, 1, 6, 1, 2, 0, 6, 1, 2, 6, 6, 1, 10, 1, 2, 1, 10, 2, 2, 6, 2, 6, 10, 2, 2, 6, 10, 10, 1, 6, 1, 10, 1, 2, 10, 6, 2, 2, 6, 10, 10, 10, 6, 6, 6, 2, 2, 1, 6, 10, 6, 6, 6, 2, 1, 1, 5, 0, 2, 2, 1, 10, 0, 2, 1, 10, 1, 2, 10, 6, 1, 2, 10, 2, 1, 1, 1, 6, 10, 1, 2, 10, 10, 2, 2, 2, 2, 6, 10, 1, 1, 2, 2, 10, 10, 2, 1, 2, 6, 2, 1, 10, 10, 1, 2, 2, 1, 6, 9, 6, 10, 6, 6, 6, 10, 2, 2, 5, 2, 1, 6, 6, 1, 1, 2, 10, 6, 10, 10, 2, 6, 10, 10, 6, 2, 10, 6, 1, 1, 2, 2, 10, 10, 6, 2, 2, 2, 6, 1, 6, 2, 1, 1, 6, 6, 10, 1, 10, 2, 8, 1, 1, 2, 1, 1, 10, 1, 6, 10, 10, 2, 6, 6, 6, 6, 2, 2, 10, 10, 2, 9, 9, 1, 2, 10, 2, 10, 6, 1, 1, 6, 1, 1, 6, 6, 2, 1, 1, 10, 1, 9, 2, 1, 10, 10, 6, 6, 10, 1, 1, 2, 6, 1, 6, 1, 10, 6, 1, 1, 6, 6, 1, 2, 10, 6, 10, 10, 10, 2, 1, 2, 2, 6, 2, 2, 2, 6, 6, 6, 2, 6, 1, 6, 6, 1, 2, 1, 6, 10, 2, 10, 1, 2, 10, 1, 2, 2, 2, 10, 1, 10, 1, 6, 10, 1, 6, 6, 6, 1, 10, 2, 2, 1, 10, 1, 1, 10, 10, 1, 6, 10, 10, 2, 6, 2, 10, 10, 10, 2, 10, 2, 2, 6, 1, 10, 6, 1, 10, 2, 2, 2, 6, 2, 1, 2, 2, 2, 10, 2, 1, 1, 10, 2, 1, 1, 10, 1, 10, 2, 6, 6, 10, 6, 6, 2, 10, 2, 1, 10, 1, 10, 1, 2, 1, 10, 6, 10, 10, 6, 6, 1, 1, 1, 2, 6, 2, 10, 10, 6, 6, 1, 1, 6, 1, 6, 10, 6, 1, 10, 1, 10, 2, 10, 10, 10, 2, 1, 6, 10, 6, 2, 0, 10, 2, 2, 1, 10, 1, 6, 10, 6, 1, 6, 1, 1, 2, 2, 6, 1, 10, 10, 10, 6, 1, 1, 6, 10, 2, 6, 2, 10, 6, 6, 7, 10, 1, 1, 2, 2, 6, 9, 1, 6, 10, 6, 1, 6, 1, 10, 1, 6, 4, 6, 2, 10, 2, 9, 2, 6, 2, 2, 6, 10, 2, 1, 10, 6, 6, 6, 10, 10, 10, 6, 6, 2, 10, 2, 6, 6, 2, 6, 6, 2, 1, 10, 1, 1, 10, 1, 1, 2, 1, 2, 10, 1, 1, 6, 6, 1, 2, 10, 6, 6, 2, 1, 0, 10, 2, 2, 2, 2, 10, 6, 10, 2, 1, 1, 10, 2, 10, 6, 1, 6, 10, 10, 1, 6, 0, 10, 2, 6, 6, 2, 6, 1, 10, 2, 6, 2, 2, 6, 10, 2, 6, 6, 2, 5, 1, 2, 5, 1, 6, 2, 6, 6, 6, 6, 6, 1, 10, 6, 9, 10, 6, 10, 1, 2, 6, 6, 1, 10, 10, 10, 6, 6, 10, 6, 6, 6, 1, 10, 10, 2, 6, 2, 1, 6, 1, 1, 2, 2, 1, 2, 1, 2, 6, 1, 2, 6, 1, 1, 6, 6, 6, 10, 2, 2, 1, 2, 10, 10, 6, 2, 2, 2, 1, 2, 2, 1, 1, 1, 6, 6, 1, 1, 10, 6, 6, 10, 1, 2, 10, 6, 1, 2, 2, 10, 1, 10, 10, 2, 2, 1, 9, 10, 10, 10, 6, 2, 6, 2, 10, 6, 2, 2, 2, 2, 1, 6, 2, 1, 6, 2, 2, 1, 10, 1, 1, 6, 10, 6, 6, 1, 2, 2, 10, 1, 10, 6, 10, 6, 10, 10, 1, 10, 1, 10, 10, 6, 6, 6, 6, 5, 2, 2, 6, 1, 6, 6, 6, 2, 6, 1, 10, 2, 2, 10, 2, 2, 2, 10, 10, 2, 1, 10, 6, 5, 2, 1, 2, 1, 1, 10, 1, 2, 2, 10, 10, 10, 2, 5, 6, 10, 2, 6, 10, 2, 2, 1, 4, 6, 1, 2, 10, 2, 10, 6, 6, 2, 6, 10, 6, 10, 6, 2, 6, 10, 1, 10, 10, 6, 2, 10, 1, 10, 6, 2, 2, 2, 2, 6, 6, 10, 6, 6, 1, 6, 1, 6, 2, 10, 10, 10, 2, 10, 6, 2, 10, 2, 10, 10, 6, 10, 6, 6, 6, 1, 6, 6, 1, 2, 6, 2, 1, 2, 2, 10, 1, 10, 10, 10, 2, 6, 2, 2, 10, 10, 1, 1, 6, 2, 2, 1, 6, 2, 2, 2, 2, 6, 1, 6, 9, 2, 10, 6, 6, 2, 10, 1, 10, 10, 1, 7, 1, 2, 6, 6, 2, 1, 6, 10, 1, 2, 2, 10, 6, 6, 1, 2, 10, 1, 6, 6, 6, 1, 6, 10, 10, 1, 4, 10, 10, 1, 10, 6, 1, 6, 6, 2, 6, 10, 6, 1, 10, 10, 6, 6, 2, 2, 1, 10, 2, 2, 2, 6, 6, 1, 10, 5, 6, 1, 2, 2, 2, 10, 2, 6, 6, 10, 10, 10, 2, 1, 1, 6, 2, 6, 6, 10, 2, 2, 2, 0, 6, 1, 1, 6, 2, 2, 1, 10, 10, 2, 1, 10, 9, 10, 6, 10, 1, 2, 2, 1, 10, 2, 6, 10, 10, 6, 6, 6, 1, 2, 6, 10, 2, 1, 2, 5, 10, 6, 1, 2, 2, 10, 1, 1, 10, 2, 1, 2, 6, 6, 6, 2, 1, 10, 6, 6, 6, 1, 1, 10, 4, 1, 2, 6, 10, 1, 2, 4, 6, 10, 2, 6, 10, 1, 2, 2, 2, 10, 1, 10, 6, 2, 1, 2, 1, 2, 1, 10, 6, 6, 2, 1, 1, 6, 0, 5, 1, 1, 9, 10, 6, 6, 2, 10, 10, 1, 6, 10, 6, 6, 2, 4, 1, 1, 2, 10, 1, 10, 1, 0, 1, 6, 2, 2, 10, 2, 10, 2, 10, 10, 1, 1, 9, 10, 1, 10, 2, 6, 2, 6, 10, 6, 10, 6, 10, 6, 6, 10, 6, 10, 6, 1, 10, 6, 10, 6, 6, 10, 6, 6, 1, 2, 10, 2, 2, 2, 2, 6, 1, 10, 6, 6, 2, 10, 1, 2, 10, 10, 1, 6, 1, 6, 1, 10, 10, 10, 1, 6, 1, 6, 6, 10, 1, 2, 1, 1, 6, 60, 1, 1, 6, 2, 1, 6, 2, 6, 1, 2, 40, 0, 10, 10, 1, 6, 5, 6, 2, 6, 6, 1, 10, 1, 2, 6, 2, 1, 1, 2, 6, 1, 2, 6, 9, 1, 10, 6, 10, 6, 10, 10, 1, 1, 10, 1, 10, 6, 1, 6, 2, 10, 10, 1, 6, 1, 10, 6, 1, 2, 2, 10, 10, 2, 10, 2, 6, 1, 0, 2, 2, 10, 10, 6, 6, 2, 1, 1, 10, 6, 10, 2, 10, 1, 2, 0, 2, 10, 10, 2, 6, 6, 4, 10, 9, 1, 10, 3, 2, 1, 2, 1, 10, 1, 1, 2, 1, 6, 2, 10, 1, 10, 6, 6, 2, 1, 6, 6, 6, 10, 1, 4, 2, 6, 6, 2, 2, 2, 6, 6, 6, 1, 10, 1, 2, 2, 2, 1, 10, 1, 6, 10, 1, 6, 6, 10, 10, 2, 10, 1, 2, 6, 2, 6, 10, 2, 2, 2, 6, 10, 2, 10, 10, 10, 1, 2, 10, 1, 1, 2, 2, 1, 7, 6, 1, 2, 6, 10, 4, 1, 2, 2, 2, 10, 1, 2, 2, 1, 2, 2, 1, 2, 10, 2, 2, 2, 10, 10, 6, 1, 10, 6, 10, 2, 10, 10, 2, 6, 2, 2, 10, 6, 10, 6, 1, 6, 10, 2, 2, 2, 10, 1, 1, 1, 10, 1, 10, 1, 2, 10, 10, 10, 10, 2, 10, 6, 1, 1, 10, 2, 5, 10, 2, 6, 10, 2, 4, 1, 2, 6, 2, 1, 2, 10, 10, 6, 1, 1, 6, 10, 10, 10, 10, 1, 1, 0, 0, 10, 6, 2, 1, 10, 1, 6, 10, 2, 1, 2, 1, 10, 1, 10, 1, 10, 1, 10, 2, 10, 1, 6, 10, 10, 2, 1, 10, 2, 2, 10, 10, 1, 6, 1, 10, 10, 6, 6, 10, 2, 10, 1, 6, 6, 10, 2, 2, 6, 2, 6, 6, 2, 6, 2, 2, 1, 6, 2, 6, 2, 2, 1, 10, 6, 6, 2, 6, 10, 6, 6, 10, 6, 10, 1, 6, 6, 1, 6, 10, 10, 1, 1, 2, 10, 2, 2, 2, 10, 10, 1, 1, 6, 10, 6, 2, 10, 2, 1, 2, 2, 2, 10, 1, 1, 2, 6, 10, 2, 2, 6, 2, 2, 10, 1, 1, 2, 2, 10, 2, 2, 0, 6, 2, 10, 10, 6, 1, 6, 2, 2, 10, 6, 2, 10, 1, 1, 6, 10, 10, 1, 1, 1, 6, 2, 2, 10, 2, 2, 2, 1, 10, 10, 6, 6, 6, 10, 1, 1, 2, 6, 10, 6, 2, 3, 10, 10, 10, 1, 2, 6, 2, 2, 1, 2, 10, 1, 10, 10, 10, 10, 1, 10, 2, 10, 6, 1, 6, 6, 6, 6, 2, 10, 2, 1, 10, 2, 2, 2, 10, 2, 10, 2, 1, 1, 6, 1, 2, 10, 1, 10, 10, 10, 1, 2, 1, 1, 2, 10, 1, 1, 1, 6, 6, 1, 6, 1, 6, 1, 1, 1, 10, 6, 6, 6, 10, 10, 6, 10, 2, 6, 1, 6, 2, 6, 2, 6, 6, 6, 1, 2, 1, 6, 2, 0, 1, 10, 2, 6, 1, 6, 10, 5, 1, 6, 2, 6, 6, 1, 2, 2, 1, 1, 2, 6, 2, 2, 10, 10, 6, 9, 2, 10, 6, 2, 1, 1, 2, 6, 1, 1, 1, 2, 2, 2, 1, 6, 1, 6, 1, 2, 6, 1, 10, 6, 1, 6, 6, 1, 6, 2, 2, 2, 6, 1, 6, 2, 1, 6, 2, 10, 6, 2, 10, 1, 1, 1, 2, 2, 1, 2, 1, 6, 6, 10, 10, 10, 6, 1, 1, 10, 2, 10, 10, 6, 2, 6, 6, 6, 2, 1, 1, 2, 2, 1, 2, 6, 6, 10, 10, 10, 10, 1, 1, 1, 2, 10, 2, 1, 1, 1, 2, 6, 10, 10, 2, 1, 10, 2, 6, 1, 6, 10, 10, 1, 2, 1, 6, 2, 10, 6, 1, 10, 2, 1, 1, 1, 6, 6, 1, 6, 2, 2, 1, 1, 6, 10, 1, 9, 6, 10, 6, 6, 1, 2, 0, 2, 10, 6, 6, 6, 10, 6, 10, 1, 10, 10, 10, 2, 1, 1, 10, 1, 5, 2, 2, 6, 1, 1, 6, 6, 2, 6, 2, 1, 6, 2, 6, 1, 10, 6, 10, 6, 2, 2, 10, 1, 2, 10, 6, 10, 1, 1, 1, 10, 1, 1, 5, 1, 2, 1, 10, 2, 10, 6, 1, 2, 1, 1, 1, 6, 1, 6, 9, 2, 6, 6, 1, 10, 4, 6, 1, 10, 1, 6, 1, 10, 5, 6, 6, 1, 2, 2, 4, 2, 10, 6, 1, 10, 2, 10, 6, 6, 1, 6, 6, 6, 10, 6, 1, 10, 6, 6, 10, 2, 2, 2, 6, 10, 2, 1, 10, 1, 1, 6, 2, 1, 1, 2, 10, 6, 2, 6, 6, 2, 10, 2, 6, 6, 6, 2, 1, 10, 2, 10, 6, 6, 10, 6, 10, 1, 2, 2, 1, 2, 6, 6, 6, 1, 10, 10, 1, 2, 2, 2, 2, 10, 10, 1, 0, 10, 6, 10, 1, 1, 6, 1, 2, 2, 1, 10, 1, 6, 10, 2, 2, 10, 10, 2, 10, 1, 2, 6, 2, 1, 1, 10, 6, 10, 2, 6, 1, 2, 10, 1, 10, 2, 2, 1, 6, 6, 10, 2, 2, 6, 6, 1, 2, 2, 2, 1, 2, 10, 1, 6, 6, 10, 2, 2, 2, 10, 2, 2, 6, 1, 9, 6, 2, 6, 10, 6, 1, 10, 6, 1, 2, 1, 1, 1, 1, 1, 6, 6, 10, 6, 6, 6, 6, 6, 2, 1, 10, 2, 1, 1, 6, 10, 10, 5, 1, 1, 9, 10, 6, 6, 10, 1, 2, 6, 2, 6, 2, 10, 10, 10, 6, 2, 10, 10, 6, 6, 2, 5, 10, 10, 1, 1, 10, 10, 1, 1, 10, 10, 6, 10, 6, 1, 1, 2, 2, 2, 2, 2, 10, 10, 2, 2, 6, 2, 10, 10, 1, 10, 2, 6, 1, 9, 2, 10, 1, 2, 10, 6, 6, 9, 6, 1, 6, 1, 1, 10, 1, 4, 2, 10, 6, 5, 10, 6, 1, 1, 10, 1, 2, 1, 2, 6, 1, 2, 10, 6, 2, 2, 1, 2, 6, 1, 10, 10, 1, 10, 6, 1, 1, 6, 1, 1, 6, 6, 1, 5, 1, 6, 6, 1, 10, 10, 2, 10, 1, 1, 6, 6, 2, 1, 10, 6, 6, 6, 6, 1, 1, 1, 6, 1, 6, 2, 1, 6, 2, 0, 1, 10, 0, 10, 1, 6, 6, 6, 2, 1, 2, 1, 6, 1, 2, 10, 2, 10, 6, 2, 10, 6, 1, 2, 2, 2, 1, 6, 6, 6, 10, 2, 10, 2, 1, 1, 2, 2, 6, 10, 6, 1, 1, 10, 10, 2, 1, 6, 1, 2, 40, 2, 2, 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2, 6, 10, 10, 2, 10, 10, 6, 10, 6, 1, 6, 2, 2, 2, 10, 10, 2, 1, 2, 2, 1, 10, 1, 10, 6, 10, 10, 1, 2, 6, 10, 2, 10, 1, 2, 6, 10, 10, 10, 6, 6, 2, 2, 10, 2, 6, 6, 6, 7, 1, 10, 1, 10, 9, 1, 1, 10, 2, 6, 2, 10, 1, 1, 2, 6, 10, 1, 2, 1, 10, 2, 2, 10, 2, 1, 2, 10, 6, 1, 2, 6, 10, 2, 2, 10, 6, 6, 2, 10, 6, 10, 1, 6, 2, 6, 1, 6, 2, 2, 6, 10, 2, 6, 0, 6, 6, 9, 2, 10, 10, 1, 6, 1, 10, 1, 10, 10, 6, 10, 2, 10, 6, 10, 10, 2, 4, 10, 2, 10, 10, 1, 1, 1, 6, 2, 2, 2, 2, 1, 10, 2, 1, 1, 10, 2, 2, 6, 2, 6, 2, 9, 1, 2, 2, 6, 1, 1, 10, 1, 1, 10, 1, 2, 10, 6, 10, 10, 10, 10, 1, 2, 1, 1, 1, 2, 5, 10, 1, 1, 2, 2, 10, 2, 10, 6, 1, 1, 2, 2, 2, 1, 2, 10, 2, 2, 10, 2, 4, 6, 1, 2, 10, 2, 10, 6, 1, 10, 10, 10, 6, 6, 6, 1, 2, 2, 6, 2, 2, 10, 1, 6, 1, 9, 6, 10, 6, 10, 2, 4, 1, 10, 2, 1, 2, 1, 6, 1, 1, 6, 6, 2, 1, 6, 6, 1, 2, 10, 6, 10, 10, 6, 1, 6, 1, 6, 2, 2, 6, 2, 6, 2, 6, 6, 10, 6, 1, 8, 1, 1, 1, 4, 10, 1, 10, 10, 2, 2, 6, 10, 1, 10, 1, 2, 10, 10, 10, 6, 6, 2, 10, 6, 10, 2, 2, 2, 1, 6, 6, 6, 6, 2, 6, 10, 10, 1, 10, 6, 2, 10, 6, 2, 5, 2, 1, 6, 2, 6, 10, 1, 6, 6, 6, 2, 10, 2, 1, 1, 6, 2, 1, 10, 1, 2, 2, 2, 6, 6, 2, 10, 10, 2, 10, 6, 2, 1, 6, 6, 2, 2, 6, 6, 10, 10, 1, 9, 6, 2, 10, 6, 6, 10, 2, 2, 2, 2, 6, 6, 1, 2, 1, 1, 1, 0, 6, 6, 2, 1, 6, 2, 2, 4, 10, 2, 6, 10, 2, 6, 6, 9, 1, 6, 10, 10, 2, 1, 1, 6, 2, 6, 10, 2, 10, 10, 2, 2, 10, 1, 1, 10, 2, 6, 10, 6, 2, 1, 2, 6, 10, 1, 1, 2, 1, 6, 6, 1, 6, 10, 10, 1, 1, 4, 1, 2, 1, 10, 1, 6, 10, 2, 5, 6, 1, 10, 2, 10, 6, 10, 6, 1, 2, 1, 1, 10, 6, 2, 6, 10, 1, 9, 10, 4, 2, 5, 1, 2, 10, 2, 6, 10, 10, 10, 4, 1, 6, 10, 10, 2, 1, 2, 6, 5, 1, 1, 1, 1, 1, 6, 6, 10, 2, 1, 1, 2, 1, 6, 10, 2, 2, 0, 10, 6, 2, 1, 10, 2, 10, 2, 10, 10, 2, 6, 6, 1, 2, 6, 1, 6, 1, 1, 2, 2, 1, 6, 2, 2, 2, 1, 6, 10, 1, 10, 2, 2, 10, 1, 6, 10, 2, 1, 2, 6, 6, 1, 6, 1, 1, 2, 6, 1, 10, 2, 0, 6, 6, 6, 6, 2, 10, 2, 2, 6, 2, 6, 10, 10, 2, 1, 2, 2, 1, 2, 6, 10, 2, 10, 2, 10, 6, 6, 5, 2, 6, 10, 6, 1, 10, 2, 1, 2, 1, 9, 1, 1, 10, 1, 10, 1, 2, 10, 10, 1, 6, 2, 6, 2, 10, 2, 6, 1, 10, 10, 6, 2, 1, 6, 2, 6, 6, 2, 2, 10, 1, 10, 2, 2, 10, 2, 2, 2, 1, 6, 1, 1, 10, 1, 1, 6, 6, 6, 6, 6, 10, 2, 6, 4, 1, 10, 6, 10, 2, 1, 1, 10, 2, 1, 1, 2, 6, 10, 6, 2, 10, 2, 2, 2, 10, 1, 1, 10, 6, 2, 1, 2, 10, 1, 2, 6, 4, 6, 6, 1, 1, 2, 1, 2, 5, 1, 2, 2, 1, 2, 10, 10, 10, 10, 6, 6, 2, 10, 6, 10, 2, 6, 10, 6, 6, 1, 4, 1, 1, 10, 10, 10, 2, 2, 2, 10, 6, 2, 6, 10, 6, 10, 1, 2, 6, 2, 6, 6, 1, 1, 6, 6, 10, 10, 6, 6, 6, 10, 2, 1, 10, 6, 10, 2, 6, 1, 2, 1, 6, 2, 6, 6, 6, 4, 10, 10, 1, 10, 10, 2, 10, 1, 1, 2, 2, 10, 10, 10, 6, 10, 2, 6, 10, 6, 2, 9, 6, 6, 2, 6, 2, 2, 1, 6, 6, 6, 6, 1, 6, 10, 6, 6, 6, 2, 4, 2, 10, 2, 1, 10, 1, 10, 1, 6, 1, 1, 6, 9, 4, 1, 1, 2, 6, 10, 6, 2, 10, 6, 1, 2, 0, 6, 2, 10, 10, 10, 9, 2, 2, 10, 2, 1, 4, 1, 6, 1, 10, 10, 1, 1, 10, 1, 1, 1, 1, 1, 10, 1, 1, 10, 10, 1, 1, 2, 6, 2, 2, 6, 6, 6, 1, 6, 10, 2, 6, 1, 6, 10, 2, 9, 10, 6, 2, 1, 1, 10, 2, 2, 10, 2, 10, 1, 2, 1, 6, 1, 1, 1, 1, 10, 1, 6, 6, 2, 6, 6, 1, 10, 1, 2, 6, 10, 9, 1, 6, 1, 6, 0, 2, 9, 6, 1, 1, 2, 2, 10, 6, 1, 9, 10, 1, 6, 6, 10, 2, 10, 2, 2, 6, 10, 1, 1, 10, 1, 2, 2, 0, 2, 6, 6, 6, 1, 10, 1, 2, 2, 6, 10, 10, 2, 1, 6, 2, 1, 2, 1, 10, 2, 6, 10, 10, 1, 10, 2, 2, 6, 2, 10, 1, 2, 1, 2, 10, 1, 1, 10, 2, 2, 10, 5, 1, 1, 10, 6, 6, 1, 6, 10, 2, 6, 2, 1, 1, 1, 6, 10, 6, 50, 10, 1, 1, 10, 6, 2, 6, 10, 2, 2, 1, 10, 1, 2, 1, 2, 1, 1, 6, 10, 6, 6, 6, 1, 6, 1, 6, 1, 10, 1, 1, 2, 2, 6, 6, 10, 6, 6, 6, 10, 10, 1, 6, 10, 2, 10, 6, 1, 6, 10, 10, 6, 10, 4, 2, 1, 6, 10, 1, 5, 2, 10, 0, 1, 2, 1, 10, 1, 6, 6, 2, 6, 10, 2, 2, 10, 10, 6, 6, 6, 6, 6, 1, 1, 1, 0, 1, 10, 6, 4, 0, 10, 6, 2, 6, 1, 2, 2, 2, 1, 10, 1, 6, 10, 1, 6, 1, 6, 1, 2, 2, 6, 6, 1, 1, 10, 10, 1, 10, 10, 2, 2, 1, 1, 1, 10, 10, 6, 2, 10, 10, 2, 6, 1, 2, 6, 1, 6, 1, 1, 6, 60, 10, 2, 10, 10, 10, 2, 4, 6, 6, 10, 6, 2, 2, 1, 2, 2, 1, 10, 6, 2, 1, 2, 6, 1, 10, 2, 10, 1, 5, 10, 2, 10, 10, 10, 2, 2, 6, 2, 6, 1, 2, 2, 10, 6, 10, 6, 2, 6, 2, 1, 10, 6, 6, 6, 2, 6, 2, 1, 6, 2, 1, 1, 6, 2, 2, 10, 6, 2, 1, 2, 1, 10, 1, 10, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 10, 10, 10, 2, 1, 10, 2, 2, 2, 2, 6, 10, 6, 1, 1, 1, 1, 6, 1, 2, 6, 10, 2, 6, 6, 2, 1, 10, 1, 1, 1, 6, 10, 6, 2, 2, 10, 6, 2, 6, 2, 6, 1, 2, 10, 2, 6, 6, 2, 1, 6, 10, 6, 10, 1, 10, 6, 2, 2, 1, 10, 2, 6, 10, 6, 10, 10, 1, 10, 6, 2, 1, 10, 6, 2, 2, 1, 6, 1, 1, 10, 1, 6, 1, 6, 6, 2, 10, 6, 6, 1, 0, 2, 2, 1, 6, 6, 1, 1, 10, 2, 1, 10, 2, 10, 10, 10, 2, 10, 10, 2, 6, 2, 10, 10, 4, 10, 2, 6, 1, 1, 2, 6, 1, 0, 6, 6, 2, 1, 2, 6, 2, 6, 10, 2, 2, 2, 2, 2, 10, 2, 1, 2, 1, 1, 10, 9, 2, 10, 6, 10, 2, 6, 6, 1, 10, 2, 2, 10, 6, 1, 6, 2, 2, 1, 6, 2, 6, 6, 6, 2, 2, 10, 10, 1, 6, 1, 10, 10, 1, 1, 1, 1, 6, 2, 1, 10, 1, 2, 10, 1, 1, 1, 6, 6, 1, 1, 6, 10, 2, 1, 2, 6, 10, 1, 6, 2, 1, 6, 10, 2, 10, 1, 2, 2, 10, 1, 10, 10, 10, 1, 1, 1, 1, 6, 10, 6, 2, 9, 10, 6, 2, 6, 2, 6, 2, 2, 6, 10, 2, 10, 2, 6, 2, 6, 6, 6, 6, 10, 10, 2, 10, 2, 2, 2, 10, 1, 2, 6, 0, 1, 10, 10, 2, 1, 2, 10, 1, 6, 10, 10, 2, 2, 2, 6, 10, 10, 6, 1, 10, 2, 1, 10, 10, 6, 1, 1, 6, 6, 2, 2, 2, 1, 1, 10, 6, 6, 6, 10, 1, 0, 10, 10, 2, 10, 10, 1, 6, 10, 10, 1, 6, 6, 2, 6, 6, 10, 10, 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2, 2, 10, 6, 10, 1, 2, 1, 10, 10, 5, 2, 1, 6, 2, 6, 2, 6, 1, 1, 6, 1, 6, 6, 1, 1, 2, 6, 2, 2, 6, 10, 1, 10, 10, 1, 10, 6, 6, 2, 1, 1, 6, 10, 6, 1, 6, 6, 1, 2, 10, 10, 10, 10, 1, 10, 6, 2, 6, 1, 6, 2, 6, 10, 10, 10, 2, 6, 2, 6, 2, 10, 10, 6, 1, 2, 1, 6, 2, 6, 1, 10, 0, 4, 2, 6, 1, 6, 1, 10, 5, 6, 1, 6, 2, 6, 2, 6, 6, 1, 6, 1, 1, 2, 10, 6, 10, 1, 6, 10, 6, 6, 1, 5, 10, 10, 6, 1, 6, 2, 1, 2, 2, 6, 10, 1, 9, 2, 2, 1, 1, 1, 1, 10, 1, 10, 10, 10, 10, 1, 2, 0, 10, 10, 2, 6, 10, 6, 10, 10, 2, 10, 1, 10, 1, 2, 6, 2, 2, 2, 1, 1, 10, 10, 10, 1, 10, 10, 6, 10, 6, 2, 10, 2, 6, 6, 6, 2, 2, 10, 1, 10, 6, 1, 6, 1, 10, 1, 1, 6, 2, 1, 2, 10, 1, 10, 6, 6, 2, 6, 4, 2, 10, 6, 6, 6, 6, 6, 10, 10, 2, 5, 5, 2, 10, 1, 2, 2, 10, 2, 2, 6, 1, 10, 6, 10, 10, 2, 2, 1, 2, 6, 10, 6, 10, 6, 6, 1, 10, 6, 1, 6, 1, 2, 1, 10, 10, 10, 6, 6, 2, 2, 10, 2, 10, 10, 1, 6, 6, 2, 1, 10, 2, 1, 6, 10, 10, 1, 10, 1, 1, 1, 6, 6, 2, 4, 6, 10, 10, 6, 1, 2, 1, 6, 6, 10, 10, 5, 2, 1, 10, 2, 6, 5, 1, 6, 10, 10, 10, 2, 0, 1, 10, 10, 1, 2, 6, 10, 6, 6, 6, 6, 1, 10, 2, 10, 2, 2, 2, 10, 2, 2, 6, 1, 10, 10, 6, 1, 2, 6, 10, 2, 6, 10, 6, 2, 2, 2, 9, 2, 10, 1, 6, 5, 10, 1, 10, 1, 10, 6, 6, 6, 1, 2, 6, 10, 2, 6, 10, 1, 1, 1, 2, 1, 5, 10, 1, 6, 1, 6, 1, 2, 1, 1, 2, 2, 2, 10, 6, 2, 2, 10, 6, 1, 1, 2, 6, 10, 10, 1, 6, 2, 1, 6, 1, 10, 2, 2, 2, 1, 1, 10, 6, 6, 6, 10, 10, 1, 6, 2, 2, 10, 1, 1, 6, 1, 10, 10, 10, 6, 10, 1, 6, 1, 2, 2, 2, 6, 4, 2, 6, 2, 10, 1, 6, 2, 2, 6, 6, 10, 1, 6, 10, 6, 10, 1, 10, 2, 1, 2, 10, 2, 1, 1, 10, 6, 1, 1, 10, 6, 6, 2, 6, 1, 10, 10, 2, 6, 4, 10, 2, 0, 1, 10, 2, 6, 6, 1, 10, 1, 6, 2, 1, 10, 2, 6, 10, 1, 1, 2, 10, 2, 10, 1, 6, 10, 2, 2, 1, 10, 6, 1, 10, 6, 6, 10, 2, 0, 6, 2, 6, 9, 2, 1, 2, 6, 10, 10, 1, 1, 6, 6, 1, 10, 2, 6, 6, 6, 1, 1, 2, 2, 6, 4, 1, 2, 1, 2, 10, 4, 2, 10, 10, 6, 2, 10, 2, 6, 1, 6, 10, 6, 10, 10, 10, 2, 6, 1, 6, 1, 1, 1, 10, 1, 6, 2, 10, 2, 1, 1, 2, 2, 6, 10, 6, 1, 2, 6, 1, 6, 1, 10, 2, 2, 1, 2, 6, 6, 10, 2, 1, 6, 6, 6, 10, 1, 1, 2, 1, 1, 1, 2, 10, 1, 2, 1, 10, 1, 6, 1, 6, 10, 2, 6, 10, 1, 1, 10, 10, 6, 6, 1, 2, 2, 1, 2, 6, 6, 10, 2, 1, 1, 1, 1, 1, 6, 1, 2, 6, 6, 6, 6, 2, 10, 1, 2, 10, 2, 10, 2, 6, 6, 2, 2, 10, 9, 2, 10, 0, 1, 2, 6, 10, 2, 1, 10, 6, 6, 6, 10, 1, 2, 0, 1, 6, 1, 2, 1, 10, 6, 6, 2, 6, 10, 2, 6, 1, 2, 10, 10, 10, 2, 1, 1, 6, 1, 6, 6, 6, 10, 2, 2, 10, 1, 10, 10, 6, 2, 6, 6, 10, 2, 6, 2, 2, 1, 6, 6, 2, 10, 6, 10, 2, 2, 1, 1, 1, 1, 2, 1, 6, 2, 2, 9, 10, 2, 10, 10, 2, 6, 10, 6, 1, 2, 2, 2, 2, 2, 10, 10, 6, 6, 1, 10, 2, 6, 1, 10, 2, 2, 6, 10, 10, 1, 6, 5, 4, 10, 2, 2, 6, 9, 1, 10, 10, 10, 10, 1, 1, 10, 1, 6, 1, 2, 2, 1, 6, 10, 6, 6, 10, 10, 1, 10, 1, 6, 10, 1, 6, 2, 10, 1, 1, 2, 1, 1, 1, 9, 9, 6, 5, 10, 10, 1, 6, 6, 2, 1, 1, 2, 1, 2, 2, 6, 6, 6, 9, 1, 10, 10, 1, 2, 6, 2, 10, 1, 6, 6, 10, 10, 10, 2, 6, 6, 10, 10, 2, 2, 2, 2, 5, 6, 6, 2, 10, 1, 6, 6, 10, 10, 1, 10, 10, 9, 2, 2, 10, 1, 1, 6, 6, 10, 10, 10, 2, 1, 6, 1, 10, 2, 1, 0, 1, 10, 10, 2, 1, 1, 2, 6, 1, 6, 2, 1, 10, 1, 10, 10, 10, 6, 10, 10, 6, 1, 1, 6, 2, 1, 6, 1, 1, 6, 6, 10, 2, 1, 2, 2, 1, 2, 1, 6, 1, 2, 10, 2, 6, 6, 10, 1, 10, 10, 2, 2, 10, 2, 40, 10, 6, 6, 1, 10, 2, 1, 1, 10, 1, 10, 1, 2, 1, 2, 1, 10, 6, 6, 2, 1, 5, 2, 10, 2, 6, 2, 6, 6, 1, 1, 2, 2, 10, 10, 6, 2, 10, 1, 6, 10, 6, 1, 10, 1, 1, 1, 1, 2, 1, 2, 1, 10, 1, 6, 10, 2, 10, 10, 1, 5, 6, 1, 10, 1, 2, 2, 10, 6, 6, 6, 2, 10, 2, 10, 2, 6, 0, 2, 10, 1, 10, 6, 6, 1, 10, 6, 10, 2, 10, 2, 10, 2, 6, 1, 10, 10, 50, 10, 1, 5, 6, 10, 10, 2, 2, 2, 2, 6, 10, 6, 2, 6, 5, 1, 1, 10, 2, 4, 10, 2, 10, 1, 1, 2, 2, 6, 6, 6, 2, 10, 5, 6, 1, 1, 6, 1, 6, 6, 2, 6, 6, 1, 6, 10, 1, 6, 2, 6, 1, 1, 6, 6, 1, 1, 1, 6, 10, 10, 2, 1, 10, 2, 10, 1, 1, 10, 1, 1, 1, 6, 2, 2, 2, 6, 1, 1, 6, 10, 10, 2, 10, 6, 1, 10, 2, 10, 0, 2, 1, 6, 6, 10, 10, 2, 6, 1, 2, 10, 6, 10, 10, 6, 2, 2, 1, 2, 1, 10, 6, 1, 6, 2, 2, 2, 1, 4, 1, 2, 1, 6, 1, 6, 2, 1, 2, 10, 6, 10, 1, 10, 10, 10, 6, 10, 6, 5, 6, 1, 1, 1, 6, 2, 6, 2, 10, 1, 7, 1, 2, 9, 10, 1, 2, 2, 2, 6, 6, 2, 10, 2, 2, 2, 10, 6, 2, 1, 4, 10, 1, 2, 6, 2, 2, 2, 6, 6, 1, 6, 2, 6, 6, 10, 4, 1, 0, 10, 1, 9, 10, 10, 10, 10, 6, 6, 6, 10, 2, 2, 6, 9, 1, 6, 2, 6, 1, 2, 10, 2, 1, 1, 6, 10, 2, 1, 6, 4, 1, 2, 10, 10, 10, 1, 2, 10, 6, 10, 10, 10, 1, 10, 1, 1, 1, 6, 10, 1, 10, 6, 6, 10, 1, 2, 6, 1, 10, 2, 6, 6, 6, 9, 10, 10, 1, 10, 6, 2, 10, 1, 1, 2, 6, 2, 2, 1, 1, 6, 6, 6, 2, 1, 1, 10, 2, 1, 10, 6, 10, 6, 2, 6, 6, 6, 6, 10, 2, 2, 6, 6, 2, 2, 2, 1, 10, 1, 9, 6, 6, 10, 10, 2, 6, 10, 1, 1, 4, 2, 6, 2, 1, 10, 10, 2, 2, 2, 1, 2, 2, 4, 1, 10, 10, 2, 6, 2, 1, 6, 2, 10, 0, 2, 6, 6, 1, 2, 10, 6, 10, 6, 6, 1, 1, 10, 2, 1, 6, 1, 1, 6, 9, 6, 1, 10, 1, 6, 10, 2, 6, 2, 1, 2, 1, 1, 2, 2, 6, 1, 1, 10, 2, 1, 1, 6, 1, 2, 10, 2, 6, 1, 10, 1, 6, 10, 6, 2, 6, 10, 2, 2, 1, 6, 6, 2, 2, 6, 6, 9, 6, 2, 6, 0, 2, 6, 1, 6, 1, 6, 2, 1, 6, 1, 9, 6, 1, 10, 10, 2, 6, 6, 2, 6, 0, 10, 10, 2, 1, 10, 0, 1, 1, 10, 10, 2, 1, 10, 2, 6, 1, 10, 10, 6, 6, 2, 1, 6, 2, 1, 1, 1, 10, 6, 6, 1, 2, 10, 2, 10, 2, 5, 1, 40, 2, 10, 1, 1, 6, 4, 1, 10, 10, 50, 2, 10, 6, 1, 2, 2, 2, 6, 6, 1, 6, 2, 1, 6, 2, 6, 6, 2, 10, 2, 10, 2, 9, 10, 1, 6, 2, 1, 1, 2, 2, 1, 2, 2, 10, 10, 10, 1, 6, 9, 2, 2, 5, 6, 1, 2, 1, 1, 10, 2, 6, 1, 10, 1, 6, 1, 2, 1, 1, 6, 10, 10, 1, 10, 10, 2, 10, 6, 1, 2, 2, 10, 1, 1, 2, 6, 1, 10, 2, 1, 1, 10, 1, 2, 10, 2, 1, 10, 1, 10, 10, 2, 1, 10, 2, 4, 2, 6, 10, 2, 2, 2, 10, 1, 1, 10, 6, 10, 10, 2, 2, 10, 2, 4, 6, 1, 2, 6, 1, 2, 2, 1, 6, 10, 2, 6, 6, 6, 10, 6, 1, 2, 1, 6, 10, 2, 6, 1, 2, 2, 10, 1, 6, 10, 2, 2, 10, 2, 1, 10, 6, 2, 6, 10, 2, 9, 10, 2, 2, 6, 10, 1, 6, 2, 2, 10, 2, 10, 1, 6, 1, 6, 6, 2, 2, 1, 0, 2, 10, 10, 6, 10, 6, 10, 10, 6, 10, 1, 7, 1, 2, 10, 1, 2, 2, 10, 10, 2, 6, 2, 1, 1, 2, 10, 2, 2, 6, 10, 9, 6, 6, 10, 10, 1, 10, 1, 1, 1, 10, 10, 1, 1, 1, 1, 10, 10, 10, 10, 10, 2, 6, 10, 1, 1, 2, 6, 1, 2, 10, 1, 10, 10, 2, 4, 10, 1, 1, 10, 6, 10, 6, 10, 10, 2, 6, 10, 0, 1, 2, 6, 5, 6, 2, 1, 1, 2, 10, 6, 6, 1, 1, 2, 2, 10, 6, 1, 6, 10, 2, 10, 6, 1, 1, 10, 1, 2, 2, 10, 2, 2, 6, 10, 2, 2, 1, 10, 2, 2, 10, 10, 2, 1, 1, 2, 6, 2, 6, 2, 1, 10, 10, 6, 2, 10, 10, 6, 2, 1, 2, 10, 6, 0, 2, 4, 1, 2, 2, 2, 1, 1, 2, 10, 0, 6, 10, 6, 2, 6, 2, 10, 2, 2, 2, 2, 1, 2, 6, 1, 6, 1, 1, 2, 2, 9, 1, 1, 1, 6, 2, 6, 6, 10, 6, 1, 6, 2, 10, 2, 6, 2, 10, 10, 1, 6, 10, 1, 6, 10, 2, 10, 9, 2, 1, 6, 10, 10, 1, 6, 2, 1, 10, 10, 6, 6, 6, 1, 6, 2, 1, 6, 6, 6, 1, 1, 1, 1, 2, 1, 1, 1, 4, 6, 10, 6, 6, 2, 10, 6, 2, 1, 1, 1, 10, 1, 1, 10, 2, 10, 6, 2, 6, 1, 2, 1, 0, 1, 10, 10, 1, 2, 1, 1, 10, 1, 6, 6, 2, 10, 10, 2, 1, 1, 6, 2, 10, 10, 6, 1, 6, 2, 10, 6, 6, 1, 6, 6, 6, 10, 10, 1, 1, 10, 10, 2, 6, 10, 6, 2, 1, 1, 6, 1, 10, 2, 10, 1, 10, 6, 2, 1, 10, 2, 10, 2, 1, 10, 2, 6, 1, 6, 10, 1, 4, 10, 6, 2, 2, 10, 6, 10, 1, 6, 1, 10, 1, 10, 2, 6, 1, 2, 1, 10, 6, 10, 1, 6, 1, 6, 6, 10, 10, 2, 2, 10, 2, 1, 10, 6, 1, 6, 2, 2, 6, 1, 10, 2, 10, 1, 1, 6, 10, 6, 2, 1, 2, 6, 10, 2, 10, 2, 10, 2, 2, 4, 1, 6, 6, 6, 1, 2, 1, 2, 6, 10, 6, 6, 10, 2, 2, 6, 2, 10, 6, 2, 2, 10, 6, 10, 10, 10, 6, 1, 6, 10, 2, 2, 10, 2, 6, 10, 2, 6, 2, 10, 2, 1, 1, 2, 6, 10, 2, 2, 2, 1, 10, 1, 6, 6, 6, 1, 2, 1, 1, 6, 10, 10, 1, 2, 1, 10, 6, 6, 1, 6, 60, 1, 6, 1, 10, 6, 1, 6, 1, 2, 6, 10, 6, 1, 2, 6, 6, 6, 6, 6, 2, 1, 1, 2, 6, 2, 6, 1, 10, 10, 1, 1, 1, 6, 6, 10, 6, 10, 10, 6, 10, 5, 6, 2, 6, 10, 10, 2, 1, 6, 6, 1, 2, 6, 10, 10, 10, 10, 1, 1, 2, 1, 1, 6, 2, 10, 2, 2, 2, 6, 10, 1, 5, 10, 10, 4, 10, 1, 10, 10, 2, 1, 6, 6, 6, 6, 2, 0, 10, 2, 6, 2, 10, 2, 6, 10, 6, 1, 1, 10, 6, 2, 6, 10, 2, 2, 2, 10, 1, 10, 10, 2, 10, 0, 10, 0, 6, 10, 6, 5, 6, 10, 6, 10, 10, 10, 1, 10, 1, 6, 6, 2, 6, 1, 10, 1, 1, 2, 6, 0, 1, 2, 10, 2, 1, 6, 1, 2, 10, 2, 10, 10, 10, 6, 1, 1, 6, 2, 10, 1, 6, 6, 10, 6, 6, 1, 2, 10, 6, 2, 6, 1, 2, 1, 1, 1, 6, 10, 2, 10, 10, 0, 6, 6, 2, 2, 10, 10, 1, 6, 2, 6, 6, 10, 6, 6, 2, 10, 1, 2, 2, 6, 2, 2, 2, 10, 6, 1, 2, 6, 10, 6, 2, 6, 1, 2, 2, 10, 6, 1, 2, 10, 6, 10, 6, 6, 10, 1, 2, 1, 10, 2, 1, 9, 2, 2, 2, 1, 10, 6, 1, 1, 10, 6, 10, 2, 1, 2, 10, 1, 10, 6, 10, 1, 1, 10, 10, 1, 6, 10, 1, 6, 2, 2, 2, 6, 6, 10, 2, 2, 6, 6, 1, 10, 2, 6, 1, 1, 6, 2, 1, 1, 2, 1, 1, 2, 2, 6, 2, 1, 10, 10, 10, 6, 10, 2, 2, 1, 1, 2, 6, 6, 10, 1, 2, 2, 2, 5, 10, 10, 1, 1, 10, 1, 1, 1, 2, 1, 2, 2, 1, 2, 6, 10, 1, 10, 2, 1, 1, 10, 1, 1, 1, 1, 10, 10, 6, 1, 1, 6, 10, 1, 2, 2, 1, 2, 6, 6, 10, 2, 2, 1, 2, 10, 2, 2, 6, 10, 1, 1, 6, 6, 10, 6, 2, 10, 6, 1, 6, 1, 1, 1, 1, 1, 6, 6, 10, 2, 10, 1, 6, 2, 6, 2, 2, 10, 10, 6, 2, 1, 10, 10, 10, 10, 10, 1, 2, 1, 6, 2, 2, 2, 5, 1, 1, 10, 1, 1, 1, 6, 1, 2, 1, 10, 10, 10, 2, 1, 2, 9, 6, 6, 10, 6, 10, 10, 10, 10, 6, 2, 6, 6, 10, 10, 6, 2, 6, 1, 1, 1, 2, 1, 2, 9, 2, 10, 1, 2, 1, 1, 9, 10, 1, 10, 6, 10, 1, 1, 10, 2, 2, 10, 10, 1, 2, 1, 10, 10, 1, 4, 10, 1, 1, 10, 10, 10, 1, 1, 1, 6, 2, 2, 1, 2, 4, 6, 6, 1, 1, 1, 6, 10, 6, 10, 5, 2, 10, 2, 10, 6, 1, 1, 2, 2, 2, 6, 10, 2, 10, 6, 2, 6, 1, 5, 10, 2, 10, 1, 10, 10, 6, 6, 9, 1, 6, 9, 6, 10, 10, 2, 2, 1, 6, 10, 10, 8, 6, 1, 1, 10, 6, 2, 1, 1, 1, 1, 1, 2, 1, 10, 10, 2, 1, 1, 1, 10, 6, 1, 2, 2, 6, 1, 1, 2, 1, 2, 4, 1, 10, 1, 2, 10, 1, 1, 10, 1, 1, 2, 2, 1, 2, 1, 10, 1, 1, 1, 6, 6, 2, 2, 1, 1, 2, 6, 2, 2, 6, 2, 1, 2, 1, 1, 1, 10, 6, 2, 2, 6, 6, 6, 10, 10, 6, 10, 6, 10, 6, 2, 10, 10, 10, 6, 10, 10, 1, 6, 10, 6, 10, 6, 1, 6, 2, 2, 9, 10, 10, 1, 1, 1, 10, 6, 10, 2, 1, 10, 10, 10, 9, 0, 1, 6, 6, 10, 6, 2, 1, 10, 2, 6, 6, 6, 6, 10, 10, 10, 6, 10, 1, 10, 10, 10, 2, 6, 10, 10, 2, 1, 1, 1, 1, 10, 10, 10, 1, 2, 2, 10, 10, 1, 6, 5, 6, 10, 1, 1, 2, 10, 6, 1, 6, 10, 0, 1, 1, 10, 2, 10, 1, 6, 2, 10, 2, 10, 10, 2, 10, 1, 6, 10, 1, 1, 1, 6, 10, 10, 1, 2, 1, 10, 2, 10, 2, 2, 2, 6, 1, 1, 9, 6, 6, 10, 6, 1, 5, 6, 10, 2, 1, 10, 10, 1, 6, 1, 9, 6, 2, 2, 6, 10, 10, 10, 1, 1, 6, 6, 10, 1, 1, 6, 10, 10, 10, 2, 6, 6, 1, 9, 10, 1, 10, 2, 6, 1, 2, 10, 1, 6, 6, 1, 6, 6, 6, 6, 2, 6, 10, 10, 6, 6, 2, 5, 2, 2, 2, 10, 9, 1, 1, 10, 2, 1, 1, 10, 2, 1, 6, 9, 2, 10, 1, 10, 2, 1, 10, 6, 10, 2, 1, 6, 6, 1, 10, 2, 10, 2, 2, 10, 2, 10, 6, 6, 1, 1, 2, 0, 6, 2, 1, 2, 2, 1, 10, 2, 2, 2, 1, 1, 10, 1, 6, 1, 3, 6, 6, 10, 6, 10, 10, 2, 2, 6, 10, 6, 2, 2, 2, 1, 0, 10, 2, 10, 6, 10, 1, 1, 6, 9, 1, 2, 6, 2, 6, 10, 10, 6, 6, 2, 10, 1, 1, 2, 10, 6, 10, 1, 6, 10, 1, 2, 1, 6, 4, 2, 1, 2, 6, 6, 6, 10, 10, 2, 2, 10, 1, 2, 1, 10, 1, 1, 2, 2, 1, 1, 1, 10, 10, 10, 10, 6, 2, 2, 1, 6, 10, 2, 10, 6, 2, 1, 6, 6, 1, 5, 10, 6, 2, 2, 10, 6, 2, 1, 10, 10, 2, 1, 1, 6, 2, 2, 2, 2, 2, 10, 6, 2, 6, 6, 1, 10, 6, 2, 2, 6, 1, 2, 2, 1, 5, 4, 6, 6, 1, 6, 1, 10, 2, 10, 6, 1, 10, 1, 9, 2, 8, 1, 2, 6, 1, 1, 6, 1, 2, 10, 6, 6, 1, 1, 6, 6, 6, 2, 6, 2, 2, 6, 2, 2, 4, 1, 6, 2, 10, 2, 10, 1, 2, 6, 1, 1, 2, 2, 1, 1, 6, 6, 1, 6, 6, 10, 6, 1, 2, 2, 6, 2, 1, 6, 10, 2, 10, 10, 4, 1, 1, 6, 6, 2, 2, 0, 2, 10, 10, 2, 2, 2, 10, 10, 1, 2, 2, 2, 6, 2, 2, 1, 1, 6, 2, 0, 6, 6, 1, 2, 10, 10, 10, 2, 1, 1, 10, 10, 2, 2, 1, 6, 10, 1, 6, 6, 6, 10, 6, 6, 1, 4, 6, 2, 2, 1, 50, 6, 2, 6, 10, 6, 2, 1, 6, 10, 6, 10, 6, 10, 1, 2, 6, 1, 6, 1, 10, 6, 6, 1, 6, 10, 1, 2, 2, 10, 2, 2, 6, 1, 10, 10, 10, 1, 6, 6, 10, 6, 6, 6, 10, 1, 6, 2, 10, 6, 1, 6, 10, 6, 6, 2, 1, 10, 10, 2, 1, 1, 2, 1, 9, 2, 2, 1, 1, 1, 2, 2, 1, 2, 10, 6, 6, 1, 10, 6, 6, 1, 6, 2, 6, 10, 10, 1, 6, 6, 1, 2, 1, 2, 1, 6, 10, 2, 10, 6, 1, 10, 1, 2, 2, 6, 2, 1, 2, 2, 6, 2, 1, 1, 2, 10, 6, 10, 2, 10, 2, 1, 1, 6, 1, 1, 2, 2, 10, 6, 10, 1, 6, 1, 2, 1, 10, 1, 2, 0, 9, 10, 2, 10, 6, 2, 1, 10, 6, 1, 10, 6, 10, 10, 10, 10, 10, 6, 1, 1, 2, 1, 6, 6, 6, 2, 2, 4, 1, 2, 1, 6, 1, 1, 2, 1, 6, 1, 2, 10, 2, 1, 1, 6, 6, 10, 10, 10, 2, 1, 6, 6, 2, 10, 6, 2, 1, 6, 2, 6, 10, 1, 10, 6, 10, 10, 7, 2, 6, 10, 10, 1, 1, 1, 2, 2, 10, 2, 10, 2, 10, 6, 10, 10, 10, 10, 2, 2, 2, 2, 6, 2, 6, 2, 10, 2, 10, 1, 2, 10, 6, 10, 10, 6, 1, 2, 2, 6, 10, 1, 2, 9, 1, 2, 10, 10, 10, 1, 1, 6, 1, 6, 2, 2, 6, 2, 1, 8, 6, 2, 10, 6, 1, 1, 2, 6, 2, 1, 6, 10, 10, 6, 6, 60, 2, 6, 6, 1, 6, 10, 10, 4, 2, 1, 2, 1, 6, 6, 2, 6, 6, 9, 1, 10, 6, 1, 10, 6, 1, 2, 2, 6, 6, 10, 10, 2, 2, 6, 10, 6, 10, 1, 10, 6, 2, 5, 10, 6, 2, 6, 2, 6, 6, 2, 6, 2, 1, 10, 2, 9, 2, 10, 2, 10, 1, 9, 6, 10, 1, 10, 10, 10, 10, 6, 10, 1, 2, 10, 1, 1, 1, 10, 6, 10, 10, 2, 10, 2, 10, 1, 6, 6, 10, 1, 9, 10, 4, 1, 10, 1, 10, 6, 1, 1, 6, 2, 10, 2, 1, 10, 1, 10, 1, 2, 6, 6, 2, 6, 1, 2, 6, 2, 10, 6, 6, 2, 10, 6, 6, 1, 2, 1, 1, 6, 2, 2, 6, 1, 2, 1, 6, 2, 10, 1, 1, 10, 1, 10, 6, 2, 6, 10, 6, 10, 6, 10, 10, 2, 2, 6, 2, 10, 10, 10, 2, 2, 10, 10, 2, 2, 1, 10, 6, 10, 2, 1, 2, 2, 10, 6, 1, 1, 2, 4, 10, 10, 10, 6, 1, 10, 6, 1, 2, 6, 10, 1, 6, 6, 2, 10, 10, 2, 10, 10, 10, 10, 1, 2, 2, 1, 10, 6, 1, 1, 2, 6, 10, 2, 10, 9, 6, 10, 1, 0, 6, 10, 1, 10, 2, 6, 1, 2, 2, 1, 10, 4, 10, 6, 6, 1, 1, 2, 6, 1, 2, 1, 6, 2, 2, 10, 10, 6, 1, 10, 2, 10, 2, 10, 4, 1, 10, 2, 6, 10, 10, 6, 6, 6, 6, 1, 10, 1, 1, 6, 1, 6, 1, 1, 2, 1, 6, 10, 6, 1, 6, 2, 6, 1, 2, 2, 2, 6, 1, 6, 1, 1, 10, 10, 1, 1, 1, 1, 2, 1, 5, 2, 6, 1, 10, 2, 1, 10, 1, 1, 6, 1, 1, 2, 10, 1, 2, 10, 6, 10, 10, 6, 2, 1, 10, 2, 6, 6, 10, 10, 1, 1, 6, 10, 1, 6, 2, 2, 1, 2, 2, 1, 1, 2, 2, 6, 1, 2, 10, 1, 1, 10, 6, 1, 6, 2, 2, 1, 10, 1, 5, 1, 2, 1, 10, 1, 0, 6, 2, 5, 6, 1, 2, 1, 10, 6, 4, 2, 10, 2, 6, 6, 2, 2, 6, 6, 6, 1, 6, 10, 10, 10, 2, 2, 1, 1, 6, 1, 1, 2, 1, 6, 1, 1, 6, 10, 6, 2, 6, 5, 10, 2, 10, 10, 2, 10, 6, 2, 1, 6, 6, 10, 6, 1, 2, 2, 2, 2, 6, 10, 1, 6, 6, 10, 2, 10, 1, 0, 10, 2, 1, 2, 10, 2, 2, 1, 6, 6, 10, 1, 10, 10, 1, 10, 1, 1, 10, 1, 1, 10, 10, 10, 6, 1, 4, 6, 2, 2, 2, 2, 9, 2, 9, 6, 6, 6, 6, 2, 10, 1, 2, 1, 10, 10, 2, 6, 6, 0, 1, 10, 10, 2, 6, 10, 2, 1, 2, 2, 10, 2, 6, 2, 1, 10, 10, 1, 6, 6, 2, 1, 1, 10, 6, 6, 10, 6, 10, 10, 10, 2, 10, 1, 1, 6, 6, 2, 10, 10, 1, 1, 2, 1, 6, 2, 6, 2, 2, 1, 6, 2, 10, 1, 6, 6, 2, 2, 2, 2, 6, 10, 10, 10, 2, 10, 6, 6, 2, 1, 2, 2, 10, 10, 6, 10, 2, 10, 4, 6, 1, 2, 10, 2, 10, 2, 0, 10, 2, 2, 2, 10, 1, 6, 2, 10, 1, 0, 2, 2, 2, 6, 10, 10, 6, 10, 1, 2, 1, 10, 10, 1, 10, 1, 6, 6, 6, 6, 10, 1, 6, 6, 1, 6, 1, 2, 6, 2, 2, 2, 4, 6, 6, 1, 1, 6, 10, 6, 6, 2, 2, 2, 2, 1, 10, 10, 1, 1, 2, 6, 6, 6, 1, 2, 1, 1, 2, 10, 10, 2, 2, 2, 6, 10, 1, 10, 1, 2, 1, 10, 1, 2, 2, 6, 2, 10, 1, 6, 10, 10, 2, 2, 6, 6, 10, 0, 10, 2, 4, 6, 2, 6, 6, 1, 2, 1, 10, 1, 2, 6, 6, 6, 6, 6, 1, 6, 6, 6, 8, 1, 10, 2, 6, 2, 2, 2, 6, 2, 2, 2, 10, 2, 2, 0, 2, 6, 1, 10, 2, 0, 2, 6, 2, 1, 2, 2, 1, 2, 1, 1, 1, 10, 6, 10, 2, 2, 10, 6, 2, 6, 10, 10, 6, 2, 6, 2, 10, 1, 1, 2, 10, 2, 10, 1, 1, 1, 0, 1, 6, 50, 10, 10, 4, 1, 6, 1, 1, 1, 10, 2, 10, 10, 2, 2, 10, 2, 10, 6, 6, 1, 6, 6, 2, 1, 10, 6, 2, 1, 10, 2, 10, 2, 10, 10, 10, 6, 2, 1, 2, 10, 6, 10, 1, 10, 10, 2, 10, 6, 2, 0, 10, 6, 6, 10, 2, 6, 4, 6, 6, 6, 2, 6, 1, 2, 2, 2, 2, 10, 2, 2, 6, 1, 2, 6, 2, 2, 1, 4, 10, 2, 6, 2, 1, 1, 1, 10, 10, 2, 2, 10, 1, 10, 4, 1, 2, 6, 10, 0, 1, 6, 6, 1, 1, 6, 1, 2, 6, 1, 1, 7, 10, 2, 2, 6, 6, 10, 6, 2, 6, 10, 10, 6, 1, 10, 1, 1, 10, 6, 1, 2, 6, 10, 2, 0, 10, 1, 2, 1, 2, 10, 2, 6, 9, 6, 2, 10, 6, 10, 6, 1, 1, 2, 2, 6, 2, 1, 6, 6, 2, 2, 2, 10, 1, 6, 1, 6, 6, 2, 6, 2, 1, 10, 2, 10, 1, 6, 10, 1, 6, 2, 6, 6, 10, 6, 2, 1, 2, 6, 10, 1, 10, 6, 10, 6, 10, 1, 6, 10, 1, 6, 6, 10, 2, 0, 6, 1, 10, 2, 6, 6, 6, 1, 1, 1, 2, 0, 10, 1, 6, 2, 2, 2, 1, 1, 6, 10, 1, 2, 10, 6, 6, 6, 2, 6, 10, 1, 1, 10, 6, 10, 1, 6, 6, 6, 1, 10, 2, 6, 2, 9, 6, 2, 2, 2, 1, 2, 6, 6, 2, 10, 2, 10, 6, 0, 5, 2, 10, 6, 10, 6, 6, 1, 10, 2, 10, 2, 9, 10, 10, 2, 1, 1, 1, 10, 6, 2, 1, 2, 2, 10, 1, 2, 2, 10, 2, 2, 2, 1, 6, 1, 10, 0, 1, 10, 0, 1, 6, 10, 6, 6, 1, 2, 10, 6, 2, 1, 1, 7, 10, 1, 4, 1, 6, 6, 1, 10, 10, 2, 6, 6, 1, 0, 6, 1, 10, 1, 6, 6, 10, 2, 2, 10, 10, 10, 2, 2, 2, 2, 1, 2, 1, 2, 1, 10, 6, 6, 6, 10, 1, 10, 10, 4, 9, 2, 2, 6, 10, 2, 2, 2, 6, 10, 1, 2, 10, 6, 1, 10, 2, 1, 6, 1, 6, 6, 1, 6, 2, 6, 1, 1, 10, 10, 6, 6, 10, 10, 10, 2, 2, 1, 10, 10, 1, 6, 10, 1, 10, 2, 10, 10, 10, 6, 6, 1, 1, 6, 6, 6, 10, 1, 1, 2, 1, 1, 6, 6, 1, 6, 2, 2, 6, 2, 6, 2, 1, 2, 1, 2, 10, 10, 2, 2, 6, 2, 6, 1, 10, 10, 1, 10, 10, 6, 1, 10, 1, 10, 6, 2, 6, 4, 2, 2, 10, 10, 10, 2, 10, 10, 6, 1, 1, 10, 6, 6, 10, 10, 10, 6, 2, 1, 6, 6, 10, 10, 1, 6, 10, 1, 2, 2, 6, 6, 1, 6, 2, 10, 1, 10, 1, 4, 1, 10, 10, 6, 10, 6, 2, 6, 1, 1, 6, 1, 2, 1, 1, 10, 10, 6, 10, 10, 6, 6, 2, 1, 2, 10, 9, 1, 1, 6, 1, 1, 2, 6, 2, 1, 2, 6, 1, 10, 2, 2, 1, 1, 10, 1, 1, 1, 6, 6, 1, 6, 10, 1, 10, 6, 1, 1, 2, 10, 2, 1, 6, 2, 10, 2, 6, 10, 10, 2, 2, 6, 6, 2, 1, 6, 10, 2, 10, 6, 10, 1, 6, 6, 10, 1, 1, 1, 10, 10, 2, 1, 6, 2, 2, 2, 10, 6, 9, 10, 2, 10, 4, 10, 1, 10, 2, 6, 2, 1, 6, 2, 2, 2, 10, 6, 2, 1, 1, 2, 6, 1, 10, 10, 2, 1, 1, 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2, 6, 2, 1, 10, 6, 6, 1, 6, 10, 10, 2, 6, 1, 2, 3, 2, 1, 10, 2, 6, 6, 2, 1, 10, 10, 10, 10, 6, 10, 1, 2, 6, 1, 10, 1, 10, 1, 1, 2, 10, 1, 1, 6, 1, 10, 6, 2, 1, 6, 10, 2, 10, 10, 1, 10, 2, 2, 6, 1, 10, 2, 10, 2, 2, 1, 2, 1, 10, 1, 1, 10, 1, 6, 10, 10, 1, 6, 1, 2, 10, 10, 1, 1, 10, 10, 10, 2, 10, 2, 6, 1, 6, 1, 1, 6, 2, 1, 1, 1, 10, 6, 10, 10, 6, 10, 2, 0, 10, 2, 2, 2, 10, 10, 2, 6, 2, 6, 2, 1, 2, 1, 6, 10, 6, 10, 2, 1, 1, 2, 10, 6, 6, 2, 10, 6, 10, 1, 2, 6, 2, 2, 10, 10, 1, 6, 6, 10, 6, 1, 1, 3, 1, 2, 2, 6, 10, 10, 1, 2, 10, 10, 1, 6, 6, 5, 1, 10, 6, 6, 1, 10, 2, 10, 10, 10, 1, 2, 2, 10, 1, 2, 1, 2, 10, 5, 1, 1, 6, 6, 1, 2, 10, 10, 10, 2, 1, 1, 2, 1, 10, 2, 10, 1, 10, 1, 10, 1, 1, 1, 1, 2, 1, 6, 2, 10, 10, 2, 1, 1, 1, 10, 2, 1, 1, 2, 6, 10, 6, 10, 2, 1, 6, 6, 1, 1, 2, 6, 10, 2, 2, 6, 2, 6, 2, 1, 1, 10, 1, 2, 1, 10, 10, 10, 6, 1, 2, 6, 10, 1, 0, 2, 6, 1, 6, 1, 2, 10, 6, 1, 10, 10, 6, 10, 10, 6, 10, 1, 6, 10, 1, 1, 1, 10, 2, 10, 1, 2, 2, 10, 2, 1, 6, 1, 1, 6, 6, 1, 6, 2, 10, 10, 10, 10, 2, 2, 1, 1, 10, 1, 10, 10, 6, 2, 10, 6, 2, 2, 10, 1, 2, 1, 1, 6, 10, 1, 10, 2, 2, 1, 2, 10, 1, 6, 0, 10, 6, 6, 10, 6, 10, 1, 6, 1, 2, 0, 2, 1, 10, 6, 10, 1, 1, 2, 1, 10, 6, 2, 2, 2, 6, 10, 10, 1, 10, 6, 10, 2, 2, 2, 2, 1, 6, 6, 0, 10, 10, 2, 2, 2, 10, 10, 10, 6, 2, 1, 2, 6, 2, 1, 6, 2, 1, 6, 2, 2, 1, 10, 2, 6, 6, 10, 10, 10, 1, 1, 10, 6, 2, 1, 1, 6, 2, 6, 1, 5, 1, 6, 1, 1, 1, 1, 6, 6, 1, 1, 6, 6, 2, 10, 1, 2, 1, 2, 10, 2, 2, 2, 2, 1, 6, 10, 10, 4, 2, 6, 6, 2, 1, 10, 2, 2, 6, 6, 10, 6, 1, 10, 1, 1, 1, 6, 2, 2, 2, 6, 10, 10, 6, 10, 6, 1, 4, 6, 10, 10, 10, 10, 2, 6, 10, 10, 1, 6, 1, 1, 1, 2, 5, 1, 10, 1, 6, 1, 2, 2, 1, 2, 9, 2, 2, 10, 6, 6, 1, 10, 10, 10, 10, 1, 2, 2, 6, 2, 6, 2, 1, 2, 1, 1, 6, 10, 1, 10, 1, 10, 2, 10, 1, 1, 1, 6, 10, 2, 10, 2, 1, 6, 10, 6, 2, 10, 10, 6, 2, 1, 1, 2, 2, 2, 1, 10, 1, 6, 6, 1, 10, 6, 10, 10, 10, 6, 2, 10, 10, 6, 1, 2, 10, 2, 1, 2, 2, 6, 1, 6, 1, 6, 10, 10, 1, 1, 10, 2, 1, 1, 6, 2, 1, 6, 1, 1, 1, 10, 6, 10, 6, 6, 1, 6, 6, 2, 6, 10, 6, 1, 1, 1, 10, 5, 4, 1, 9, 6, 10, 10, 6, 6, 2, 6, 1, 2, 2, 5, 6, 2, 1, 10, 10, 10, 1, 10, 2, 6, 2, 2, 6, 1, 1, 6, 1, 2, 2, 2, 1, 10, 1, 2, 4, 2, 6, 2, 2, 1, 2, 10, 1, 6, 2, 6, 2, 10, 2, 10, 10, 2, 2, 10, 2, 1, 10, 2, 10, 10, 2, 6, 6, 2, 2, 6, 10, 1, 2, 1, 10, 6, 2, 10, 6, 6, 5, 1, 2, 1, 10, 10, 6, 10, 6, 2, 1, 6, 4, 10, 1, 1, 6, 6, 6, 2, 10, 2, 10, 10, 1, 1, 2, 6, 6, 2, 1, 1, 1, 6, 6, 1, 1, 5, 10, 2, 10, 2, 2, 10, 6, 2, 1, 10, 1, 1, 2, 2, 6, 1, 6, 10, 1, 6, 2, 10, 2, 6, 2, 6, 1, 1, 1, 2, 2, 6, 10, 10, 6, 1, 1, 10, 10, 10, 1, 9, 2, 2, 2, 6, 2, 6, 6, 6, 10, 1, 2, 6, 6, 2, 1, 6, 6, 6, 1, 2, 2, 1, 2, 6, 6, 2, 10, 2, 10, 2, 2, 1, 6, 10, 2, 1, 2, 6, 1, 1, 2, 10, 10, 6, 2, 2, 4, 2, 10, 1, 1, 1, 2, 2, 6, 2, 6, 10, 1, 2, 6, 10, 2, 6, 10, 1, 6, 10, 2, 2, 2, 10, 2, 9, 2, 1, 2, 6, 2, 6, 10, 10, 2, 6, 10, 10, 10, 6, 2, 6, 1, 6, 2, 6, 1, 10, 10, 6, 10, 10, 2, 5, 6, 10, 2, 6, 1, 1, 10, 10, 1, 10, 2, 1, 6, 6, 6, 6, 2, 10, 10, 6, 2, 1, 2, 1, 10, 10, 2, 2, 10, 1, 40, 2, 2, 2, 2, 10, 2, 10, 10, 1, 10, 4, 6, 1, 6, 9, 1, 6, 2, 1, 2, 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1, 1, 10, 2, 1, 1, 2, 2, 10, 6, 1, 6, 2, 0, 4, 2, 6, 1, 10, 6, 2, 6, 10, 1, 1, 1, 2, 10, 6, 6, 2, 6, 10, 1, 2, 1, 10, 1, 2, 6, 6, 2, 2, 1, 6, 6, 6, 1, 2, 1, 2, 2, 10, 1, 6, 6, 6, 2, 5, 10, 6, 2, 6, 6, 1, 10, 1, 6, 1, 1, 2, 10, 6, 2, 6, 1, 2, 2, 6, 2, 1, 6, 6, 1, 1, 1, 6, 2, 1, 6, 10, 2, 2, 2, 10, 2, 10, 10, 2, 2, 6, 1, 10, 1, 1, 2, 1, 10, 2, 2, 10, 1, 10, 1, 2, 6, 6, 1, 2, 2, 2, 1, 10, 10, 6, 1, 10, 2, 6, 10, 10, 2, 1, 2, 10, 6, 1, 1, 2, 6, 2, 2, 2, 1, 1, 1, 10, 2, 6, 1, 2, 1, 1, 6, 1, 6, 1, 6, 2, 6, 10, 10, 6, 10, 2, 2, 2, 6, 10, 2, 2, 10, 2, 6, 1, 6, 10, 1, 10, 6, 2, 4, 10, 2, 0, 2, 2, 6, 2, 10, 0, 1, 1, 1, 0, 6, 4, 6, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 10, 6, 2, 6, 2, 6, 1, 1, 2, 10, 2, 1, 10, 1, 6, 10, 6, 5, 6, 2, 1, 1, 1, 1, 6, 2, 10, 1, 1, 10, 10, 10, 1, 6, 6, 1, 10, 1, 6, 1, 6, 1, 10, 2, 0, 10, 1, 10, 6, 5, 2, 10, 6, 2, 10, 2, 2, 6, 2, 1, 6, 1, 1, 10, 2, 2, 2, 1, 1, 10, 1, 2, 1, 1, 9, 6, 6, 6, 6, 1, 1, 1, 6, 1, 10, 2, 1, 2, 1, 10, 5, 10, 1, 2, 10, 2, 6, 6, 1, 6, 2, 2, 2, 1, 2, 1, 1, 6, 2, 6, 1, 1, 2, 2, 6, 1, 1, 2, 10, 10, 10, 2, 0, 6, 10, 10, 2, 6, 10, 1, 10, 6, 2, 2, 1, 2, 1, 10, 4, 6, 10, 6, 10, 2, 1, 1, 6, 1, 10, 10, 10, 2, 2, 10, 1, 2, 6, 2, 10, 2, 1, 10, 2, 10, 10, 10, 6, 2, 2, 2, 2, 10, 10, 6, 2, 0, 6, 10, 10, 1, 1, 6, 6, 1, 10, 6, 2, 2, 1, 1, 2, 6, 1, 6, 10, 2, 2, 6, 6, 6, 10, 2, 1, 6, 6, 1, 2, 2, 6, 2, 10, 10, 1, 2, 6, 2, 5, 2, 1, 6, 2, 1, 1, 6, 6, 10, 1, 1, 6, 1, 10, 1, 10, 6, 1, 10, 6, 6, 6, 1, 10, 10, 1, 6, 10, 6, 2, 1, 10, 10, 10, 10, 1, 2, 10, 6, 10, 2, 6, 10, 10, 10, 10, 4, 6, 2, 6, 9, 6, 6, 1, 10, 1, 2, 6, 6, 6, 1, 2, 0, 1, 2, 6, 6, 9, 6, 2, 6, 9, 10, 1, 10, 1, 10, 1, 2, 6, 1, 2, 0, 1, 10, 2, 10, 10, 10, 2, 6, 1, 2, 2, 1, 10, 10, 10, 10, 2, 5, 2, 6, 2, 6, 1, 0, 2, 2, 10, 1, 1, 2, 2, 10, 1, 6, 1, 10, 1, 10, 2, 1, 1, 6, 1, 10, 6, 10, 10, 6, 1, 6, 10, 1, 2, 10, 2, 10, 10, 6, 1, 10, 1, 1, 1, 1, 10, 1, 6, 6, 2, 1, 6, 10, 1, 6, 10, 1, 1, 1, 10, 2, 2, 2, 6, 1, 6, 6, 10, 10, 6, 2, 1, 1, 1, 10, 1, 1, 2, 1, 6, 1, 5, 10, 2, 1, 6, 6, 1, 10, 10, 10, 9, 10, 1, 2, 6, 2, 2, 2, 10, 6, 1, 4, 10, 2, 10, 10, 6, 6, 2, 2, 1, 4, 1, 6, 1, 1, 6, 6, 1, 10, 1, 10, 2, 10, 2, 2, 6, 6, 1, 1, 1, 1, 0, 2, 6, 2, 6, 10, 6, 6, 2, 4, 1, 6, 1, 6, 6, 2, 1, 6, 1, 1, 6, 1, 10, 6, 1, 1, 2, 1, 9, 2, 6, 2, 6, 6, 2, 10, 6, 0, 6, 2, 1, 1, 10, 2, 6, 1, 6, 2, 6, 6, 1, 2, 6, 2, 2, 10, 10, 2, 6, 1, 10, 2, 10, 6, 1, 1, 1, 2, 6, 2, 1, 1, 2, 10, 10, 6, 1, 2, 6, 6, 6, 6, 5, 2, 6, 10, 6, 10, 1, 2, 10, 10, 10, 2, 2, 6, 6, 1, 10, 1, 6, 10, 6, 2, 6, 0, 2, 10, 10, 10, 1, 2, 1, 10, 1, 10, 10, 10, 1, 1, 0, 6, 10, 1, 6, 2, 2, 1, 10, 1, 6, 4, 6, 0, 10, 2, 6, 6, 2, 1, 10, 2, 10, 2, 10, 1, 5, 6, 2, 1, 10, 1, 6, 2, 10, 10, 6, 6, 10, 2, 6, 2, 6, 5, 1, 6, 1, 1, 10, 2, 6, 2, 1, 10, 6, 6, 2, 2, 2, 2, 10, 1, 1, 2, 1, 10, 2, 10, 1, 2, 2, 1, 6, 10, 1, 1, 6, 1, 10, 1, 6, 6, 2, 1, 6, 1, 6, 9, 1, 10, 1, 6, 6, 1, 10, 10, 1, 8, 6, 2, 2, 6, 1, 2, 1, 6, 10, 10, 6, 6, 10, 1, 1, 6, 6, 6, 2, 10, 10, 10, 1, 6, 1, 10, 10, 10, 1, 10, 2, 6, 6, 6, 10, 6, 10, 1, 6, 2, 2, 2, 10, 10, 6, 6, 1, 2, 4, 10, 2, 10, 2, 2, 1, 1, 2, 1, 2, 2, 10, 0, 1, 1, 1, 1, 6, 1, 6, 9, 10, 1, 6, 1, 6, 0, 10, 2, 10, 10, 2, 6, 2, 6, 6, 6, 0, 5, 6, 2, 1, 10, 1, 1, 2, 2, 2, 6, 6, 10, 6, 6, 2, 2, 10, 2, 2, 1, 1, 2, 2, 5, 10, 2, 2, 10, 0, 6, 1, 2, 1, 1, 10, 10, 1, 1, 10, 0, 1, 1, 10, 2, 2, 6, 6, 6, 2, 1, 6, 6, 2, 6, 6, 1, 1, 10, 10, 6, 2, 2, 10, 6, 2, 0, 10, 6, 10, 1, 2, 1, 10, 10, 6, 10, 2, 2, 10, 2, 2, 10, 1, 6, 1, 2, 10, 10, 1, 2, 6, 2, 9, 10, 6, 2, 10, 1, 6, 1, 6, 6, 1, 10, 2, 0, 6, 1, 2, 2, 1, 1, 10, 10, 1, 2, 10, 6, 2, 10, 2, 6, 6, 2, 10, 2, 6, 6, 1, 10, 10, 2, 6, 2, 10, 10, 2, 2, 6, 2, 6, 10, 6, 10, 1, 6, 5, 6, 10, 6, 6, 2, 10, 6, 6, 2, 10, 10, 6, 6, 1, 2, 6, 6, 1, 6, 6, 1, 1, 2, 1, 2, 6, 2, 1, 2, 2, 1, 2, 2, 2, 6, 1, 0, 6, 10, 1, 2, 2, 2, 10, 6, 1, 10, 1, 6, 6, 1, 6, 1, 2, 10, 1, 2, 10, 10, 6, 2, 2, 1, 10, 1, 1, 6, 6, 1, 10, 10, 10, 2, 9, 5, 1, 1, 6, 2, 10, 1, 6, 2, 10, 10, 6, 6, 1, 1, 0, 2, 2, 10, 1, 2, 6, 6, 6, 6, 2, 1, 6, 10, 2, 10, 6, 6, 10, 1, 10, 6, 2, 5, 2, 2, 6, 2, 6, 1, 6, 6, 10, 0, 10, 10, 1, 2, 10, 2, 10, 6, 1, 1, 1, 10, 2, 10, 10, 10, 6, 1, 2, 2, 2, 10, 1, 10, 6, 1, 1, 4, 6, 10, 6, 10, 2, 10, 6, 10, 2, 2, 2, 6, 10, 2, 10, 0, 6, 2, 2, 10, 6, 1, 0, 10, 6, 2, 6, 6, 2, 2, 1, 2, 2, 2, 6, 10, 2, 10, 10, 1, 5, 1, 6, 6, 10, 10, 6, 1, 6, 10, 10, 2, 6, 1, 10, 1, 6, 6, 10, 2, 1, 6, 2, 1, 1, 1, 2, 10, 6, 6, 6, 6, 1, 1, 2, 6, 1, 6, 0, 1, 10, 6, 10, 6, 1, 10, 1, 6, 1, 10, 10, 1, 6, 6, 6, 2, 1, 2, 6, 6, 1, 1, 2, 2, 1, 1, 6, 6, 6, 6, 10, 2, 6, 2, 2, 2, 2, 6, 10, 10, 1, 6, 1, 10, 1, 10, 2, 1, 2, 1, 10, 6, 10, 6, 9, 2, 6, 10, 6, 2, 6, 6, 1, 6, 2, 1, 6, 2, 1, 6, 2, 2, 1, 2, 10, 10, 6, 2, 6, 9, 6, 1, 10, 6, 2, 1, 6, 10, 1, 2, 10, 6, 1, 6, 1, 1, 1, 1, 6, 0, 1, 2, 1, 1, 2, 6, 6, 1, 1, 2, 10, 6, 10, 10, 1, 2, 6, 10, 1, 2, 1, 2, 2, 6, 6, 6, 1, 10, 10, 10, 2, 10, 2, 1, 2, 2, 10, 6, 1, 10, 2, 1, 1, 10, 6, 10, 2, 9, 6, 10, 10, 2, 10, 1, 2, 10, 2, 1, 1, 6, 10, 6, 1, 1, 1, 1, 10, 2, 1, 1, 1, 6, 6, 10, 1, 1, 6, 1, 2, 10, 2, 10, 2, 1, 1, 2, 10, 6, 6, 2, 2, 6, 1, 2, 6, 1, 6, 6, 10, 2, 2, 9, 6, 10, 10, 1, 10, 10, 1, 6, 10, 2, 1, 10, 1, 1, 4, 2, 6, 2, 6, 2, 2, 2, 10, 2, 1, 1, 2, 6, 10, 10, 1, 2, 10, 6, 2, 6, 2, 10, 6, 1, 10, 6, 6, 2, 10, 2, 2, 2, 2, 10, 10, 2, 2, 10, 6, 1, 2, 6, 1, 10, 2, 1, 2, 6, 1, 10, 9, 9, 10, 1, 9, 2, 6, 2, 1, 10, 2, 1, 2, 10, 10, 6, 9, 10, 6, 1, 10, 10, 6, 2, 10, 2, 2, 6, 10, 6, 6, 10, 10, 6, 6, 6, 6, 2, 1, 1, 2, 6, 6, 1, 1, 2, 1, 1, 2, 6, 2, 2, 6, 6, 6, 10, 6, 6, 6, 6, 2, 1, 1, 10, 6, 1, 6, 6, 10, 10, 1, 0, 2, 6, 1, 10, 2, 2, 6, 2, 2, 10, 10, 2, 10, 1, 6, 1, 10, 1, 6, 10, 2, 2, 1, 1, 10, 2, 6, 6, 10, 2, 6, 6, 1, 1, 1, 1, 10, 1, 2, 10, 6, 6, 1, 6, 2, 1, 10, 6, 1, 1, 6, 10, 10, 2, 10, 5, 6, 2, 6, 10, 10, 10, 6, 6, 1, 6, 2, 10, 6, 1, 2, 1, 10, 1, 10, 2, 2, 2, 2, 10, 6, 10, 10, 2, 6, 1, 1, 1, 2, 1, 6, 6, 2, 10, 2, 1, 6, 6, 6, 1, 6, 1, 10, 1, 2, 1, 2, 1, 10, 1, 6, 6, 1, 10, 1, 10, 1, 6, 1, 2, 10, 2, 6, 6, 6, 10, 10, 10, 1, 1, 6, 1, 2, 10, 4, 2, 2, 2, 10, 10, 6, 1, 10, 10, 9, 6, 10, 1, 10, 10, 1, 2, 2, 6, 6, 2, 1, 5, 2, 6, 10, 10, 10, 1, 10, 1, 2, 6, 2, 10, 1, 1, 2, 1, 1, 10, 6, 1, 6, 10, 10, 6, 2, 1, 2, 2, 2, 6, 2, 1, 1, 6, 9, 10, 6, 10, 1, 6, 6, 10, 10, 9, 1, 10, 2, 10, 6, 1, 10, 6, 1, 1, 10, 6, 1, 6, 6, 2, 6, 5, 2, 9, 2, 1, 10, 6, 1, 10, 10, 6, 2, 1, 6, 6, 4, 2, 6, 6, 6, 2, 10, 2, 6, 6, 1, 2, 6, 4, 10, 6, 1, 1, 10, 1, 1, 0, 10, 6, 1, 10, 1, 10, 2, 1, 1, 6, 2, 1, 6, 2, 6, 10, 10, 6, 6, 10, 10, 2, 1, 1, 6, 6, 10, 5, 2, 2, 6, 1, 1, 1, 1, 10, 10, 6, 6, 6, 6, 10, 1, 2, 2, 2, 1, 10, 10, 1, 6, 2, 2, 6, 6, 6, 2, 6, 1, 6, 6, 6, 6, 10, 9, 2, 1, 1, 2, 2, 1, 6, 10, 10, 2, 2, 2, 1, 1, 2, 1, 1, 2, 6, 10, 2, 1, 1, 1, 10, 2, 10, 9, 10, 1, 6, 6, 6, 1, 9, 6, 10, 1, 6, 0, 1, 2, 2, 10, 6, 2, 6, 6, 2, 10, 6, 6, 10, 6, 10, 5, 1, 1, 10, 1, 2, 6, 6, 6, 1, 2, 10, 6, 10, 1, 4, 1, 1, 6, 1, 10, 1, 5, 2, 6, 4, 2, 1, 10, 2, 2, 6, 2, 1, 6, 2, 1, 1, 1, 1, 2, 2, 10, 10, 1, 1, 6, 1, 6, 10, 10, 10, 10, 10, 1, 2, 6, 2, 1, 2, 1, 1, 6, 2, 10, 6, 2, 1, 2, 1, 10, 10, 2, 1, 1, 2, 6, 6, 40, 6, 10, 10, 10, 6, 6, 10, 10, 1, 6, 6, 1, 6, 6, 2, 1, 2, 10, 10, 10, 2, 6, 6, 10, 1, 10, 1, 6, 10, 1, 2, 2, 9, 6, 6, 1, 6, 10, 6, 2, 10, 1, 10, 6, 10, 10, 2, 2, 6, 6, 2, 10, 6, 6, 6, 10, 6, 10, 2, 10, 10, 2, 5, 1, 2, 6, 1, 6, 2, 10, 10, 6, 6, 10, 2, 1, 10, 10, 1, 10, 1, 4, 10, 10, 6, 9, 6, 1, 1, 6, 1, 10, 6, 2, 6, 6, 2, 2, 10, 10, 2, 6, 2, 1, 6, 6, 6, 10, 2, 1, 2, 6, 1, 1, 2, 1, 2, 6, 2, 6, 10, 6, 10, 10, 6, 1, 10, 10, 2, 2, 1, 2, 10, 1, 10, 1, 6, 10, 2, 10, 1, 1, 2, 3, 2, 2, 2, 6, 1, 2, 1, 1, 10, 10, 2, 10, 2, 10, 6, 6, 6, 10, 6, 10, 1, 10, 2, 10, 1, 6, 6, 2, 10, 10, 10, 10, 1, 6, 10, 10, 6, 6, 6, 2, 1, 1, 6, 1, 6, 6, 1, 2, 2, 1, 10, 10, 2, 9, 10, 2, 1, 6, 2, 6, 2, 6, 6, 6, 6, 10, 6, 2, 1, 10, 1, 10, 10, 2, 2, 2, 6, 1, 6, 2, 6, 6, 1, 1, 1, 10, 2, 1, 2, 1, 5, 1, 1, 6, 6, 1, 6, 1, 10, 2, 2, 1, 6, 10, 2, 1, 1, 2, 10, 1, 1, 5, 1, 6, 10, 6, 1, 6, 1, 10, 2, 10, 5, 1, 6, 6, 5, 1, 6, 2, 1, 10, 1, 10, 10, 0, 6, 2, 6, 1, 1, 2, 10, 1, 2, 1, 10, 2, 10, 1, 6, 6, 1, 10, 1, 6, 2, 10, 1, 10, 2, 2, 1, 6, 10, 1, 6, 6, 10, 0, 1, 2, 10, 1, 6, 1, 6, 10, 6, 2, 1, 10, 6, 2, 10, 1, 1, 1, 10, 10, 1, 6, 2, 5, 1, 2, 2, 1, 2, 1, 10, 10, 2, 6, 4, 2, 6, 2, 1, 1, 10, 2, 2, 10, 10, 1, 6, 10, 10, 1, 10, 10, 10, 6, 1, 10, 6, 10, 6, 1, 2, 10, 2, 1, 10, 1, 10, 6, 10, 1, 6, 2, 6, 6, 2, 6, 6, 1, 1, 6, 2, 6, 6, 1, 1, 2, 6, 6, 2, 6, 1, 10, 10, 2, 2, 5, 10, 2, 10, 10, 2, 1, 1, 1, 6, 10, 1, 6, 6, 2, 10, 1, 10, 10, 2, 6, 6, 1, 1, 1, 10, 1, 6, 10, 1, 10, 1, 2, 1, 6, 2, 10, 2, 1, 1, 2, 2, 2, 6, 10, 6, 10, 10, 1, 10, 2, 9, 2, 1, 2, 6, 10, 2, 6, 10, 10, 1, 10, 6, 6, 1, 1, 10, 1, 4, 10, 2, 10, 1, 2, 2, 6, 10, 2, 10, 10, 10, 6, 6, 6, 10, 0, 10, 1, 2, 6, 1, 2, 2, 2, 5, 10, 6, 6, 10, 2, 10, 6, 10, 1, 10, 6, 2, 1, 6, 10, 10, 2, 10, 2, 6, 1, 1, 1, 4, 2, 2, 10, 1, 0, 6, 2, 5, 6, 6, 6, 10, 1, 2, 10, 10, 6, 10, 6, 6, 2, 2, 2, 2, 1, 2, 6, 1, 6, 6, 6, 6, 2, 10, 6, 2, 6, 10, 10, 6, 6, 2, 10, 10, 4, 2, 10, 1, 10, 6, 10, 2, 10, 10, 10, 10, 1, 2, 6, 6, 10, 10, 6, 10, 10, 6, 10, 1, 2, 10, 6, 2, 6, 2, 6, 1, 4, 9, 6, 9, 1, 4, 2, 1, 2, 2, 10, 1, 2, 4, 1, 10, 1, 2, 1, 6, 6, 10, 10, 1, 6, 2, 1, 9, 6, 6, 10, 2, 2, 10, 2, 1, 10, 10, 10, 1, 1, 10, 1, 6, 10, 10, 6, 2, 10, 1, 6, 1, 10, 2, 2, 2, 1, 6, 2, 6, 10, 6, 10, 1, 2, 6, 1, 10, 6, 1, 10, 1, 10, 2, 10, 6, 1, 6, 2, 6, 6, 10, 6, 10, 6, 10, 6, 2, 2, 2, 2, 1, 2, 2, 6, 2, 6, 2, 6, 1, 1, 2, 1, 6, 2, 1, 6, 1, 2, 6, 1, 10, 1, 1, 6, 9, 1, 1, 10, 10, 6, 6, 6, 1, 6, 2, 2, 1, 2, 2, 1, 2, 6, 6, 1, 6, 2, 10, 1, 6, 6, 6, 2, 1, 2, 6, 6, 2, 2, 2, 1, 10, 1, 10, 10, 1, 10, 10, 1, 6, 10, 10, 40, 2, 2, 6, 10, 1, 10, 10, 1, 10, 1, 6, 10, 1, 10, 6, 10, 2, 10, 1, 6, 2, 1, 6, 1, 1, 10, 2, 2, 10, 10, 1, 10, 2, 2, 1, 1, 2, 6, 1, 1, 2, 4, 1, 1, 6, 2, 10, 10, 1, 1, 1, 6, 6, 2, 2, 1, 6, 10, 0, 1, 10, 6, 10, 6, 10, 10, 2, 6, 6, 6, 4, 1, 1, 10, 10, 6, 10, 10, 10, 6, 2, 1, 1, 2, 1, 6, 2, 6, 10, 2, 6, 1, 1, 10, 10, 1, 6, 2, 1, 4, 10, 10, 1, 1, 6, 1, 6, 6, 2, 2, 2, 10, 1, 6, 2, 1, 6, 10, 6, 10, 2, 2, 6, 2, 2, 6, 2, 1, 10, 0, 1, 1, 10, 2, 10, 6, 0, 9, 1, 1, 6, 10, 6, 10, 2, 10, 10, 5, 1, 6, 6, 1, 2, 6, 1, 4, 2, 6, 2, 2, 2, 10, 10, 6, 1, 2, 1, 10, 10, 1, 6, 1, 6, 10, 2, 2, 10, 5, 2, 9, 6, 6, 10, 1, 1, 10, 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10, 2, 2, 6, 2, 6, 1, 1, 2, 2, 1, 10, 1, 2, 1, 6, 2, 6, 1, 1, 10, 1, 1, 2, 5, 10, 2, 10, 10, 6, 2, 2, 6, 6, 6, 6, 4, 10, 2, 2, 1, 1, 2, 6, 1, 9, 2, 2, 6, 10, 10, 1, 1, 6, 5, 4, 1, 6, 6, 10, 6, 2, 2, 6, 0, 2, 5, 6, 6, 10, 6, 6, 2, 6, 10, 10, 6, 10, 2, 1, 6, 10, 10, 10, 2, 6, 6, 2, 6, 2, 10, 2, 10, 10, 10, 10, 2, 10, 1, 6, 10, 2, 6, 2, 6, 2, 1, 1, 2, 10, 2, 6, 10, 2, 10, 2, 10, 10, 10, 6, 2, 10, 1, 10, 6, 1, 1, 1, 2, 6, 10, 1, 10, 6, 10, 6, 6, 2, 6, 1, 6, 1, 1, 6, 9, 6, 1, 1, 1, 2, 1, 1, 2, 6, 10, 6, 6, 6, 1, 2, 6, 2, 4, 2, 2, 2, 10, 2, 1, 6, 10, 2, 2, 1, 10, 2, 1, 6, 6, 2, 1, 10, 6, 1, 1, 1, 10, 1, 1, 6, 10, 1, 2, 6, 10, 2, 2, 1, 10, 1, 6, 10, 6, 10, 10, 6, 1, 6, 2, 2, 2, 1, 6, 6, 2, 1, 1, 6, 10, 2, 1, 1, 6, 10, 9, 2, 6, 10, 10, 10, 2, 1, 1, 1, 1, 4, 2, 6, 2, 6, 1, 10, 2, 10, 2, 10, 6, 1, 6, 1, 2, 2, 6, 1, 2, 10, 1, 0, 10, 1, 2, 1, 10, 10, 1, 10, 2, 10, 10, 1, 6, 6, 10, 2, 6, 6, 10, 10, 6, 6, 2, 10, 6, 6, 6, 1, 10, 1, 6, 6, 6, 10, 2, 6, 2, 1, 6, 10, 6, 1, 1, 6, 6, 1, 1, 10, 6, 1, 6, 2, 4, 10, 10, 5, 10, 2, 1, 0, 6, 2, 10, 6, 6, 1, 1, 10, 10, 1, 1, 6, 10, 2, 1, 9, 10, 10, 6, 2, 6, 6, 1, 6, 2, 1, 6, 2, 1, 10, 1, 1, 10, 10, 1, 10, 2, 10, 6, 6, 6, 1, 6, 10, 6, 6, 10, 1, 10, 10, 2, 6, 6, 2, 6, 10, 6, 6, 1, 6, 1, 1, 1, 6, 1, 1, 10, 10, 2, 6, 1, 6, 2, 10, 1, 10, 6, 2, 2, 1, 1, 2, 1, 1, 2, 1, 6, 10, 6, 6, 10, 1, 1, 10, 1, 1, 1, 6, 2, 2, 1, 2, 10, 1, 2, 2, 1, 10, 2, 6, 10, 6, 9, 10, 1, 10, 1, 10, 2, 6, 10, 6, 6, 10, 1, 1, 1, 1, 1, 2, 6, 2, 1, 10, 1, 2, 1, 2, 6, 10, 10, 2, 2, 1, 10, 10, 10, 6, 60, 1, 1, 1, 6, 2, 6, 2, 1, 10, 6, 2, 2, 1, 6, 2, 2, 2, 1, 10, 2, 1, 1, 1, 4, 10, 2, 10, 2, 10, 2, 2, 10, 5, 6, 1, 2, 2, 10, 2, 1, 6, 10, 6, 1, 1, 2, 2, 10, 10, 2, 6, 6, 10, 1, 2, 6, 2, 1, 1, 1, 10, 2, 1, 2, 10, 6, 2, 2, 1, 10, 1, 6, 10, 10, 6, 1, 1, 6, 10, 10, 10, 1, 6, 6, 10, 6, 6, 2, 1, 2, 6, 6, 6, 10, 10, 6, 10, 10, 6, 6, 2, 2, 10, 10, 6, 10, 6, 2, 2, 6, 10, 10, 9, 1, 6, 10, 6, 2, 1, 10, 1, 6, 2, 6, 6, 10, 2, 6, 1, 6, 1, 10, 6, 1, 6, 1, 2, 10, 10, 6, 1, 6, 6, 2, 10, 1, 10, 1, 2, 6, 10, 1, 2, 1, 1, 1, 10, 6, 2, 2, 1, 10, 6, 1, 6, 6, 2, 2, 6, 10, 10, 2, 2, 1, 10, 6, 10, 1, 2, 4, 1, 6, 10, 1, 10, 10, 10, 1, 10, 10, 10, 6, 1, 2, 2, 2, 1, 6, 1, 9, 6, 1, 1, 1, 2, 10, 1, 6, 1, 10, 6, 6, 10, 10, 1, 2, 10, 1, 10, 1, 6, 2, 6, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 10, 2, 10, 6, 6, 10, 10, 6, 4, 6, 1, 2, 2, 1, 1, 1, 2, 2, 1, 10, 2, 2, 10, 1, 10, 10, 6, 1, 2, 2, 2, 10, 6, 10, 1, 1, 6, 10, 6, 10, 10, 2, 10, 10, 10, 10, 6, 10, 2, 6, 10, 10, 1, 6, 10, 6, 10, 1, 2, 2, 10, 10, 6, 1, 10, 6, 1, 1, 10, 1, 6, 10, 1, 1, 6, 1, 2, 2, 2, 1, 10, 1, 1, 2, 10, 2, 1, 6, 1, 6, 4, 10, 10, 2, 6, 6, 1, 6, 1, 6, 10, 0, 9, 2, 9, 6, 10, 1, 10, 1, 6, 6, 10, 1, 10, 2, 2, 10, 1, 2, 1, 10, 10, 5, 2, 6, 6, 1, 6, 1, 6, 6, 6, 2, 1, 2, 6, 1, 6, 1, 1, 6, 4, 6, 6, 2, 6, 10, 6, 1, 6, 4, 2, 10, 10, 10, 10, 10, 1, 10, 10, 1, 2, 1, 6, 0, 1, 1, 9, 10, 6, 1, 10, 2, 4, 10, 1, 6, 4, 6, 6, 1, 1, 3, 6, 2, 2, 2, 6, 1, 1, 1, 6, 10, 10, 1, 10, 10, 10, 1, 6, 2, 5, 1, 6, 10, 10, 2, 2, 6, 1, 2, 2, 5, 1, 2, 1, 10, 10, 1, 0, 6, 10, 6, 10, 6, 2, 10, 1, 2, 10, 6, 2, 2, 2, 10, 2, 10, 2, 2, 0, 1, 6, 6, 10, 10, 1, 1, 10, 2, 2, 2, 1, 6, 2, 2, 2, 6, 10, 1, 1, 6, 1, 1, 2, 0, 10, 10, 6, 1, 6, 6, 10, 4, 2, 1, 1, 1, 10, 1, 2, 10, 2, 9, 10, 2, 6, 6, 1, 1, 10, 2, 1, 2, 10, 1, 0, 9, 10, 6, 6, 6, 10, 4, 1, 10, 2, 6, 2, 10, 2, 1, 1, 6, 1, 10, 6, 10, 10, 2, 2, 10, 2, 2, 2, 2, 2, 9, 10, 6, 1, 6, 10, 1, 10, 1, 10, 1, 6, 1, 2, 6, 6, 1, 10, 2, 1, 2, 10, 10, 1, 6, 10, 2, 1, 10, 6, 1, 2, 1, 1, 2, 1, 2, 2, 1, 10, 10, 2, 10, 10, 1, 6, 10, 2, 1, 6, 10, 2, 2, 1, 6, 6, 2, 6, 10, 6, 0, 6, 10, 10, 6, 1, 6, 1, 1, 6, 1, 1, 10, 2, 1, 10, 10, 10, 1, 10, 10, 2, 10, 6, 1, 6, 1, 6, 2, 1, 10, 6, 10, 2, 6, 10, 2, 2, 1, 1, 10, 10, 10, 6, 10, 2, 6, 1, 2, 10, 10, 1, 6, 2, 10, 1, 2, 10, 2, 6, 6, 6, 10, 10, 2, 6, 10, 2, 10, 0, 10, 10, 6, 4, 1, 10, 6, 2, 6, 2, 6, 2, 1, 2, 2, 1, 1, 10, 6, 6, 10, 6, 1, 1, 4, 6, 1, 10, 2, 6, 2, 1, 10, 10, 6, 1, 1, 6, 2, 2, 1, 10, 2, 2, 2, 2, 6, 6, 1, 2, 1, 1, 4, 6, 2, 10, 6, 6, 2, 10, 2, 6, 10, 10, 1, 6, 1, 6, 1, 1, 2, 1, 1, 2, 10, 2, 10, 2, 10, 2, 2, 10, 10, 2, 6, 2, 6, 2, 2, 1, 1, 6, 1, 6, 6, 1, 2, 6, 10, 1, 1, 2, 1, 2, 6, 10, 2, 10, 10, 2, 2, 2, 2, 10, 1, 1, 1, 6, 10, 10, 2, 6, 10, 1, 6, 6, 6, 6, 10, 10, 10, 10, 2, 10, 1, 1, 6, 10, 6, 2, 10, 1, 6, 2, 6, 10, 6, 6, 10, 6, 1, 9, 4, 2, 2, 2, 1, 10, 1, 1, 2, 10, 2, 6, 6, 1, 1, 2, 10, 1, 10, 10, 6, 1, 6, 6, 10, 2, 1, 10, 1, 6, 2, 5, 1, 6, 2, 6, 10, 2, 6, 6, 2, 10, 6, 10, 10, 6, 2, 1, 6, 10, 2, 10, 2, 10, 6, 0, 6, 2, 10, 10, 6, 10, 1, 6, 2, 2, 2, 2, 6, 1, 10, 6, 1, 0, 1, 10, 6, 6, 1, 1, 1, 1, 1, 2, 6, 10, 6, 2, 1, 1, 1, 2, 6, 1, 2, 4, 1, 1, 6, 6, 6, 2, 2, 10, 6, 1, 2, 6, 2, 1, 2, 6, 6, 10, 2, 6, 2, 2, 10, 1, 10, 9, 6, 1, 1, 6, 2, 6, 2, 1, 6, 6, 1, 10, 2, 1, 6, 10, 6, 10, 2, 6, 6, 1, 6, 6, 1, 1, 10, 2, 10, 2, 10, 2, 6, 10, 10, 10, 2, 1, 2, 6, 10, 10, 6, 6, 2, 10, 10, 1, 1, 6, 6, 10, 10, 2, 10, 1, 3, 4, 6, 10, 1, 10, 6, 6, 1, 6, 2, 1, 1, 1, 1, 6, 1, 10, 10, 2, 10, 1, 6, 10, 10, 6, 1, 10, 2, 2, 6, 2, 6, 10, 10, 10, 10, 6, 2, 10, 2, 2, 10, 10, 2, 2, 2, 6, 6, 6, 10, 6, 6, 6, 2, 6, 6, 10, 2, 1, 2, 10, 6, 2, 2, 6, 6, 6, 2, 2, 6, 10, 6, 1, 6, 1, 10, 1, 2, 6, 6, 10, 10, 1, 10, 2, 10, 2, 10, 2, 6, 6, 6, 5, 5, 6, 10, 5, 10, 1, 1, 1, 6, 6, 2, 10, 5, 2, 1, 2, 2, 1, 1, 7, 10, 1, 2, 2, 1, 6, 1, 1, 1, 2, 1, 5, 6, 10, 2, 6, 1, 2, 2, 10, 10, 6, 10, 1, 10, 2, 1, 10, 1, 6, 1, 2, 10, 6, 2, 10, 6, 6, 1, 10, 10, 2, 2, 6, 10, 1, 2, 10, 1, 10, 1, 1, 2, 6, 10, 10, 1, 10, 6, 6, 2, 6, 1, 6, 1, 10, 5, 6, 6, 6, 2, 10, 6, 1, 2, 2, 1, 10, 1, 6, 10, 6, 6, 6, 6, 10, 10, 6, 2, 1, 2, 2, 10, 2, 2, 1, 1, 10, 1, 2, 10, 1, 2, 6, 6, 2, 2, 2, 1, 6, 2, 2, 10, 1, 10, 6, 1, 2, 6, 10, 1, 2, 1, 2, 10, 10, 6, 1, 0, 2, 2, 10, 6, 1, 1, 6, 1, 1, 9, 2, 1, 10, 2, 1, 10, 1, 2, 2, 6, 1, 6, 1, 1, 2, 2, 6, 6, 1, 2, 10, 1, 2, 6, 6, 6, 2, 10, 10, 10, 10, 1, 10, 10, 6, 10, 1, 2, 2, 1, 2, 10, 50, 1, 6, 10, 1, 6, 2, 6, 1, 1, 6, 2, 2, 6, 9, 6, 9, 10, 1, 1, 6, 10, 2, 10, 10, 1, 2, 1, 10, 10, 50, 2, 10, 1, 0, 6, 10, 2, 10, 10, 2, 10, 1, 6, 1, 1, 6, 2, 2, 1, 1, 1, 2, 1, 5, 6, 2, 10, 6, 2, 1, 9, 10, 1, 6, 4, 10, 10, 6, 10, 10, 10, 6, 6, 6, 2, 2, 1, 1, 10, 6, 2, 6, 1, 2, 10, 2, 1, 2, 1, 6, 2, 10, 6, 0, 1, 6, 6, 10, 2, 2, 10, 1, 10, 1, 6, 10, 10, 1, 1, 1, 1, 2, 1, 6, 10, 2, 2, 6, 1, 6, 2, 10, 2, 1, 10, 10, 6, 2, 2, 10, 10, 10, 2, 1, 1, 1, 1, 1, 6, 10, 1, 0, 1, 10, 10, 10, 1, 10, 10, 6, 1, 2, 2, 1, 10, 6, 1, 1, 1, 2, 6, 1, 4, 2, 2, 1, 6, 4, 2, 2, 10, 10, 10, 2, 1, 6, 10, 1, 6, 10, 10, 1, 6, 1, 6, 6, 2, 6, 10, 1, 5, 6, 10, 2, 1, 6, 2, 10, 10, 1, 1, 6, 10, 2, 6, 10, 6, 2, 1, 1, 1, 10, 10, 1, 2, 10, 2, 6, 10, 2, 1, 6, 1, 1, 1, 2, 6, 1, 10, 2, 2, 1, 6, 9, 6, 6, 6, 6, 10, 2, 1, 1, 10, 9, 2, 4, 6, 6, 1, 10, 1, 10, 1, 10, 10, 10, 2, 6, 2, 2, 10, 6, 2, 1, 10, 2, 1, 2, 10, 2, 1, 6, 9, 1, 1, 10, 1, 2, 10, 1, 2, 2, 2, 1, 1, 9, 10, 2, 2, 1, 1, 10, 6, 2, 10, 6, 1, 6, 2, 1, 6, 2, 10, 1, 1, 6, 6, 6, 6, 10, 6, 1, 2, 6, 6, 60, 6, 1, 2, 10, 2, 10, 1, 1, 10, 2, 6, 2, 1, 1, 10, 6, 1, 10, 1, 1, 6, 10, 1, 2, 6, 2, 10, 1, 6, 1, 10, 6, 2, 10, 10, 1, 10, 1, 1, 1, 2, 6, 10, 1, 1, 6, 6, 10, 1, 6, 6, 2, 2, 1, 2, 10, 1, 6, 6, 2, 6, 1, 2, 2, 10, 2, 6, 6, 2, 2, 10, 2, 10, 10, 10, 10, 10, 1, 2, 2, 10, 6, 1, 6, 10, 2, 1, 6, 2, 6, 10, 10, 6, 1, 10, 1, 1, 2, 6, 6, 9, 6, 9, 10, 10, 2, 6, 1, 1, 10, 1, 6, 10, 2, 1, 10, 2, 10, 10, 1, 1, 6, 1, 10, 10, 6, 2, 5, 1, 10, 2, 6, 10, 1, 6, 2, 1, 6, 6, 2, 1, 1, 2, 6, 10, 6, 5, 1, 6, 5, 2, 1, 2, 6, 1, 6, 10, 10, 6, 1, 1, 1, 1, 1, 10, 10, 2, 1, 10, 10, 6, 10, 2, 2, 2, 6, 6, 2, 6, 6, 6, 10, 2, 6, 1, 9, 6, 10, 1, 2, 1, 10, 2, 1, 10, 2, 10, 2, 6, 6, 5, 2, 2, 10, 10, 10, 1, 10, 4, 2, 6, 2, 10, 10, 1, 9, 6, 6, 1, 6, 1, 10, 10, 10, 2, 10, 2, 10, 2, 6, 2, 2, 10, 10, 6, 6, 6, 10, 10, 2, 2, 6, 2, 10, 6, 1, 2, 10, 1, 1, 6, 6, 2, 10, 10, 2, 4, 6, 2, 2, 9, 1, 6, 1, 6, 10, 6, 1, 10, 10, 10, 0, 2, 10, 10, 2, 6, 10, 1, 6, 2, 10, 10, 2, 2, 1, 10, 10, 2, 2, 6, 6, 10, 1, 1, 1, 2, 1, 10, 2, 1, 1, 6, 2, 10, 2, 10, 10, 10, 1, 1, 2, 6, 2, 1, 10, 9, 6, 6, 2, 10, 10, 2, 6, 2, 2, 9, 6, 2, 2, 1, 2, 6, 10, 2, 10, 6, 6, 1, 1, 2, 6, 1, 1, 6, 10, 10, 10, 10, 1, 10, 6, 1, 10, 6, 10, 10, 6, 2, 2, 2, 1, 1, 1, 10, 1, 9, 2, 6, 1, 2, 2, 10, 4, 10, 2, 5, 2, 10, 10, 2, 1, 6, 1, 6, 2, 2, 2, 1, 6, 2, 1, 6, 0, 1, 10, 2, 10, 1, 4, 1, 2, 2, 1, 2, 1, 6, 1, 6, 2, 6, 10, 1, 2, 2, 2, 10, 1, 1, 1, 6, 10, 1, 6, 10, 10, 10, 9, 1, 10, 1, 2, 6, 6, 1, 2, 10, 6, 6, 6, 2, 10, 5, 2, 1, 6, 1, 2, 6, 10, 6, 2, 2, 10, 1, 10, 10, 10, 6, 6, 2, 2, 9, 1, 1, 1, 5, 6, 1, 2, 10, 6, 2, 6, 1, 2, 1, 2, 2, 2, 6, 2, 1, 1, 6, 2, 6, 4, 4, 6, 6, 2, 1, 10, 10, 2, 1, 6, 2, 6, 6, 10, 6, 2, 10, 2, 1, 10, 1, 9, 6, 10, 1, 1, 6, 6, 2, 10, 1, 1, 1, 6, 2, 6, 6, 1, 2, 10, 6, 6, 10, 10, 6, 1, 6, 1, 6, 10, 10, 6, 6, 10, 10, 2, 1, 6, 6, 6, 1, 6, 2, 6, 6, 6, 2, 2, 1, 6, 10, 6, 6, 1, 2, 1, 1, 2, 6, 10, 10, 2, 1, 2, 10, 6, 1, 2, 10, 10, 1, 1, 1, 6, 2, 1, 6, 2, 0, 2, 10, 1, 1, 1, 9, 6, 2, 10, 6, 2, 1, 2, 2, 1, 1, 6, 10, 1, 2, 2, 1, 1, 6, 6, 2, 1, 6, 2, 10, 1, 6, 2, 6, 10, 10, 2, 10, 2, 6, 1, 10, 1, 6, 2, 2, 1, 1, 1, 1, 10, 2, 2, 10, 6, 2, 2, 10, 2, 6, 2, 1, 6, 1, 1, 10, 10, 10, 6, 1, 2, 2, 10, 2, 6, 10, 1, 2, 10, 6, 10, 5, 1, 6, 6, 2, 10, 2, 10, 6, 10, 2, 10, 1, 10, 2, 2, 1, 6, 10, 6, 1, 1, 1, 10, 1, 2, 1, 10, 1, 1, 10, 6, 6, 2, 1, 10, 1, 6, 10, 1, 2, 6, 1, 9, 0, 10, 1, 6, 6, 10, 6, 1, 1, 10, 2, 1, 5, 10, 2, 10, 6, 6, 6, 1, 1, 2, 2, 2, 2, 1, 6, 10, 2, 2, 6, 10, 1, 10, 6, 0, 6, 2, 1, 6, 6, 6, 10, 40, 9, 9, 6, 10, 6, 6, 6, 2, 10, 6, 1, 1, 6, 6, 6, 6, 10, 6, 6, 5, 10, 1, 2, 6, 10, 10, 2, 2, 6, 6, 1, 6, 2, 1, 6, 2, 6, 10, 1, 10, 10, 6, 2, 6, 6, 2, 2, 1, 10, 1, 6, 6, 2, 2, 6, 2, 10, 1, 10, 6, 10, 6, 10, 2, 10, 6, 10, 6, 6, 6, 1, 10, 1, 1, 1, 6, 1, 6, 2, 10, 10, 10, 10, 2, 6, 10, 1, 10, 6, 6, 1, 2, 10, 10, 6, 6, 1, 6, 2, 2, 6, 1, 10, 2, 1, 1, 2, 1, 2, 1, 6, 1, 2, 1, 10, 1, 10, 10, 0, 10, 1, 10, 10, 1, 1, 2, 6, 1, 9, 6, 10, 1, 2, 10, 1, 2, 2, 2, 10, 2, 1, 6, 2, 6, 1, 1, 10, 0, 2, 2, 2, 10, 2, 2, 6, 2, 6, 6, 2, 2, 10, 1, 2, 1, 1, 6, 6, 1, 10, 2, 2, 6, 1, 6, 4, 10, 2, 6, 10, 2, 1, 1, 10, 2, 2, 10, 10, 6, 1, 1, 10, 10, 1, 2, 2, 10, 6, 1, 1, 2, 6, 0, 6, 2, 10, 6, 6, 6, 6, 1, 2, 6, 10, 10, 0, 6, 1, 1, 2, 10, 5, 10, 1, 1, 6, 1, 2, 1, 10, 1, 2, 1, 6, 2, 10, 2, 6, 10, 10, 1, 1, 2, 6, 10, 6, 2, 10, 6, 6, 5, 4, 6, 1, 2, 2, 1, 6, 1, 2, 6, 6, 6, 1, 10, 10, 10, 10, 6, 2, 6, 1, 10, 2, 6, 2, 10, 6, 1, 10, 6, 10, 10, 6, 6, 10, 6, 10, 10, 2, 6, 2, 10, 10, 2, 1, 10, 1, 2, 6, 6, 6, 1, 6, 1, 10, 2, 6, 2, 10, 6, 6, 10, 10, 2, 1, 1, 2, 1, 1, 10, 10, 1, 2, 6, 1, 6, 6, 10, 2, 10, 10, 6, 1, 6, 6, 1, 10, 1, 6, 1, 1, 2, 10, 1, 2, 10, 10, 2, 10, 6, 1, 2, 6, 2, 1, 6, 1, 1, 6, 1, 2, 6, 10, 10, 2, 10, 2, 1, 10, 2, 2, 1, 6, 6, 2, 10, 6, 2, 10, 10, 1, 2, 6, 1, 10, 1, 6, 10, 2, 6, 6, 1, 1, 2, 2, 6, 0, 6, 10, 2, 2, 10, 6, 10, 5, 10, 2, 6, 10, 10, 2, 2, 10, 6, 10, 10, 6, 2, 2, 6, 1, 2, 6, 6, 10, 10, 10, 2, 6, 6, 2, 6, 1, 10, 1, 10, 2, 6, 2, 2, 2, 6, 10, 1, 10, 6, 1, 2, 10, 4, 2, 1, 2, 10, 6, 10, 1, 1, 0, 1, 1, 1, 6, 1, 6, 10, 10, 10, 10, 1, 2, 1, 10, 6, 10, 2, 1, 2, 10, 2, 1, 1, 1, 2, 2, 10, 2, 1, 1, 6, 6, 1, 1, 6, 1, 2, 2, 6, 10, 10, 6, 1, 2, 6, 6, 1, 10, 1, 6, 2, 10, 6, 5, 6, 2, 10, 1, 1, 2, 1, 10, 1, 10, 1, 1, 2, 6, 1, 6, 1, 6, 1, 2, 0, 5, 1, 6, 1, 6, 1, 10, 1, 1, 1, 6, 2, 1, 10, 9, 2, 2, 10, 1, 6, 10, 6, 1, 1, 2, 2, 6, 1, 2, 6, 2, 6, 6, 6, 1, 4, 6, 10, 1, 10, 1, 2, 6, 10, 2, 6, 1, 10, 1, 2, 1, 6, 4, 10, 2, 6, 10, 10, 1, 1, 6, 10, 1, 2, 10, 2, 2, 1, 2, 1, 1, 10, 1, 6, 10, 6, 10, 10, 10, 6, 6, 10, 6, 10, 1, 2, 10, 6, 10, 6, 2, 6, 6, 4, 2, 6, 1, 6, 6, 10, 1, 6, 10, 1, 10, 6, 2, 10, 1, 1, 2, 10, 6, 6, 1, 6, 1, 10, 10, 2, 1, 2, 10, 1, 1, 1, 1, 10, 2, 2, 1, 1, 1, 1, 2, 10, 10, 6, 6, 2, 6, 1, 2, 1, 6, 10, 10, 1, 1, 10, 10, 2, 1, 1, 1, 2, 6, 10, 2, 10, 1, 6, 0, 10, 6, 1, 2, 6, 1, 1, 10, 1, 1, 10, 1, 6, 1, 2, 10, 1, 1, 2, 10, 1, 6, 10, 1, 2, 1, 2, 10, 1, 1, 1, 2, 6, 1, 2, 2, 10, 2, 2, 2, 2, 6, 1, 1, 1, 6, 0, 1, 10, 6, 6, 1, 1, 2, 10, 10, 6, 6, 2, 2, 2, 10, 2, 2, 4, 6, 10, 2, 10, 2, 2, 4, 1, 10, 2, 1, 2, 2, 10, 6, 1, 2, 2, 6, 1, 10, 1, 1, 10, 1, 2, 2, 2, 40, 6, 10, 2, 9, 1, 2, 2, 2, 1, 10, 6, 2, 10, 10, 1, 10, 6, 10, 1, 2, 1, 10, 2, 6, 2, 10, 2, 6, 6, 6, 6, 2, 2, 9, 2, 1, 2, 10, 10, 1, 1, 6, 6, 2, 6, 1, 2, 2, 6, 2, 2, 2, 6, 10, 10, 2, 1, 6, 2, 2, 2, 10, 6, 1, 1, 2, 2, 2, 6, 10, 6, 6, 2, 2, 10, 1, 1, 10, 10, 10, 6, 0, 2, 6, 10, 10, 1, 2, 2, 2, 6, 1, 2, 10, 10, 1, 6, 6, 1, 2, 6, 2, 6, 2, 10, 2, 6, 10, 6, 9, 2, 1, 2, 2, 10, 2, 2, 10, 10, 2, 10, 2, 10, 1, 6, 1, 6, 10, 6, 2, 10, 10, 2, 2, 10, 10, 10, 1, 2, 2, 1, 10, 2, 10, 1, 2, 1, 10, 6, 1, 1, 9, 1, 2, 6, 2, 1, 2, 10, 1, 6, 1, 6, 10, 10, 10, 6, 2, 10, 10, 10, 6, 6, 10, 1, 1, 4, 10, 5, 2, 1, 6, 1, 6, 2, 1, 6, 10, 1, 1, 10, 6, 1, 2, 10, 1, 1, 10, 2, 2, 2, 2, 10, 6, 10, 10, 6, 1, 1, 10, 1, 6, 1, 6, 1, 1, 2, 6, 6, 2, 6, 2, 2, 6, 6, 6, 2, 6, 2, 1, 2, 1, 6, 2, 6, 10, 10, 2, 10, 10, 10, 10, 10, 1, 2, 10, 10, 10, 6, 6, 6, 10, 10, 10, 10, 6, 1, 6, 1, 6, 10, 10, 10, 2, 1, 2, 1, 2, 6, 6, 6, 6, 6, 2, 2, 9, 2, 2, 2, 0, 1, 1, 10, 2, 1, 6, 10, 10, 6, 2, 2, 1, 1, 0, 10, 6, 1, 1, 6, 10, 2, 6, 6, 6, 2, 2, 2, 1, 1, 10, 10, 2, 6, 10, 10, 1, 10, 10, 1, 10, 6, 10, 1, 10, 6, 2, 1, 2, 10, 6, 10, 6, 4, 10, 6, 6, 1, 6, 10, 1, 10, 1, 10, 9, 6, 6, 1, 2, 1, 6, 6, 1, 2, 2, 6, 6, 10, 6, 2, 1, 1, 10, 1, 6, 10, 6, 10, 6, 10, 10, 6, 6, 10, 1, 10, 6, 10, 6, 10, 1, 2, 5, 2, 1, 2, 1, 2, 10, 6, 6, 10, 6, 10, 2, 2, 6, 10, 10, 1, 10, 10, 2, 1, 6, 6, 1, 1, 6, 6, 6, 2, 2, 1, 1, 6, 6, 2, 10, 1, 10, 2, 10, 1, 10, 10, 6, 1, 6, 6, 2, 1, 10, 2, 1, 1, 1, 2, 10, 10, 10, 10, 1, 2, 2, 6, 2, 2, 10, 10, 6, 10, 10, 2, 1, 1, 6, 1, 0, 6, 1, 1, 6, 6, 1, 10, 10, 1, 1, 2, 1, 10, 6, 1, 1, 10, 10, 10, 1, 2, 1, 6, 10, 10, 6, 2, 1, 10, 10, 2, 6, 1, 1, 1, 10, 6, 1, 10, 10, 1, 10, 1, 10, 1, 1, 2, 2, 10, 6, 2, 1, 6, 6, 6, 10, 2, 2, 6, 10, 10, 1, 1, 10, 6, 10, 1, 1, 1, 6, 6, 1, 0, 1, 1, 1, 2, 6, 6, 10, 10, 10, 10, 1, 2, 1, 1, 2, 2, 10, 1, 2, 10, 6, 10, 2, 1, 6, 6, 6, 10, 1, 2, 1, 10, 1, 1, 2, 6, 10, 2, 10, 2, 1, 2, 1, 2, 10, 9, 6, 6, 1, 10, 10, 1, 6, 10, 1, 10, 1, 1, 6, 6, 10, 10, 1, 6, 10, 2, 6, 1, 2, 10, 10, 2, 10, 6, 1, 10, 6, 6, 2, 1, 10, 2, 10, 2, 1, 1, 1, 6, 10, 10, 6, 2, 6, 2, 6, 6, 6, 1, 2, 10, 6, 6, 10, 6, 0, 2, 9, 2, 3, 10, 2, 1, 10, 1, 2, 2, 2, 6, 2, 6, 2, 10, 1, 6, 10, 10, 6, 6, 1, 2, 6, 0, 1, 2, 1, 1, 2, 6, 6, 2, 9, 6, 10, 10, 2, 1, 2, 2, 2, 2, 1, 10, 6, 1, 2, 2, 6, 6, 1, 10, 2, 2, 1, 10, 1, 1, 10, 2, 10, 2, 6, 6, 6, 1, 6, 6, 2, 10, 6, 1, 2, 1, 2, 1, 6, 2, 2, 6, 2, 2, 1, 2, 2, 1, 1, 2, 1, 10, 4, 1, 6, 6, 1, 1, 1, 0, 2, 2, 6, 2, 1, 10, 2, 1, 1, 1, 10, 2, 6, 2, 10, 10, 10, 6, 6, 1, 6, 2, 1, 9, 6, 1, 10, 2, 2, 2, 1, 10, 2, 2, 6, 2, 2, 2, 6, 1, 0, 6, 1, 1, 6, 6, 1, 10, 4, 6, 10, 1, 2, 1, 2, 2, 10, 6, 6, 1, 2, 2, 2, 2, 2, 10, 2, 1, 2, 6, 2, 1, 10, 10, 1, 10, 6, 1, 2, 1, 10, 10, 1, 10, 9, 6, 10, 2, 2, 10, 10, 1, 6, 5, 1, 6, 10, 1, 2, 1, 1, 2, 1, 10, 10, 1, 6, 2, 2, 6, 2, 10, 2, 10, 2, 6, 2, 2, 6, 6, 2, 6, 10, 6, 2, 10, 10, 2, 1, 6, 1, 2, 1, 2, 6, 6, 2, 6, 6, 10, 2, 6, 2, 1, 2, 2, 10, 6, 6, 5, 2, 10, 10, 10, 2, 6, 10, 6, 2, 6, 1, 10, 6, 10, 10, 2, 2, 1, 1, 6, 4, 10, 1, 0, 10, 1, 6, 2, 6, 10, 2, 2, 1, 1, 6, 2, 1, 2, 10, 1, 10, 1, 6, 10, 2, 1, 1, 2, 2, 6, 6, 10, 6, 10, 2, 6, 1, 1, 1, 6, 2, 2, 1, 6, 0, 10, 10, 6, 1, 6, 10, 2, 1, 6, 10, 2, 2, 6, 6, 10, 2, 9, 1, 10, 2, 10, 10, 2, 6, 10, 2, 1, 2, 1, 2, 1, 2, 6, 2, 1, 9, 10, 1, 6, 1, 1, 6, 6, 2, 6, 2, 1, 1, 6, 10, 1, 9, 1, 2, 2, 2, 1, 0, 2, 2, 1, 4, 6, 2, 10, 10, 6, 6, 10, 6, 6, 10, 2, 10, 10, 2, 10, 1, 2, 10, 2, 10, 10, 1, 2, 2, 1, 1, 1, 2, 4, 2, 6, 2, 1, 2, 6, 2, 2, 2, 1, 6, 2, 6, 2, 6, 10, 2, 2, 6, 6, 10, 6, 2, 6, 10, 10, 6, 1, 6, 2, 2, 6, 6, 2, 2, 1, 2, 1, 1, 6, 10, 6, 10, 2, 1, 10, 6, 1, 1, 2, 6, 6, 1, 1, 1, 6, 10, 6, 10, 1, 2, 2, 1, 6, 6, 6, 1, 1, 2, 0, 6, 2, 6, 2, 6, 10, 2, 6, 2, 6, 10, 6, 1, 2, 1, 1, 6, 10, 6, 6, 1, 10, 2, 6, 2, 2, 1, 10, 2, 10, 10, 10, 2, 1, 6, 1, 2, 1, 10, 6, 1, 2, 10, 10, 2, 6, 10, 6, 1, 6, 10, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 6, 2, 10, 6, 1, 6, 2, 2, 2, 10, 2, 1, 2, 6, 1, 2, 6, 2, 6, 1, 1, 10, 2, 6, 10, 10, 2, 1, 10, 2, 6, 1, 2, 2, 10, 10, 6, 2, 10, 1, 2, 10, 10, 1, 4, 1, 1, 6, 10, 10, 10, 6, 1, 10, 10, 1, 1, 1, 1, 1, 2, 6, 1, 6, 1, 1, 10, 2, 2, 10, 2, 10, 2, 6, 2, 2, 6, 6, 6, 6, 1, 6, 2, 1, 1, 10, 2, 6, 1, 10, 1, 6, 1, 6, 1, 2, 1, 2, 9, 2, 2, 5, 1, 2, 1, 2, 10, 1, 5, 2, 2, 1, 2, 1, 10, 10, 10, 6, 2, 1, 2, 10, 6, 60, 1, 1, 1, 1, 10, 1, 2, 1, 2, 2, 1, 1, 6, 2, 10, 2, 2, 2, 2, 1, 1, 2, 6, 6, 1, 6, 6, 2, 2, 10, 6, 6, 2, 10, 2, 2, 6, 2, 6, 1, 10, 10, 2, 6, 10, 10, 10, 2, 10, 2, 10, 10, 1, 2, 2, 10, 1, 10, 6, 10, 6, 6, 2, 6, 10, 2, 2, 1, 6, 10, 4, 2, 6, 6, 9, 6, 10, 10, 10, 1, 10, 10, 6, 6, 2, 2, 6, 10, 2, 2, 10, 1, 1, 1, 6, 6, 6, 6, 1, 1, 2, 2, 6, 1, 1, 2, 10, 1, 1, 1, 1, 1, 6, 10, 2, 2, 2, 10, 1, 10, 10, 10, 10, 1, 6, 2, 2, 10, 5, 1, 2, 6, 6, 3, 1, 1, 10, 10, 6, 2, 1, 2, 1, 2, 2, 2, 6, 1, 6, 6, 1, 2, 10, 2, 1, 2, 6, 10, 6, 6, 2, 1, 1, 1, 10, 1, 1, 2, 6, 6, 6, 6, 1, 6, 6, 10, 1, 1, 2, 10, 10, 1, 2, 10, 6, 0, 1, 1, 1, 10, 1, 1, 10, 1, 6, 1, 10, 2, 6, 2, 6, 2, 6, 60, 1, 1, 1, 6, 1, 6, 6, 2, 2, 2, 6, 10, 2, 6, 2, 0, 2, 10, 1, 1, 2, 9, 6, 1, 10, 2, 6, 10, 6, 2, 1, 1, 9, 9, 1, 1, 10, 10, 1, 6, 2, 6, 1, 6, 6, 10, 10, 6, 10, 6, 2, 9, 6, 2, 2, 10, 6, 6, 1, 2, 10, 10, 1, 1, 4, 1, 10, 10, 2, 1, 5, 6, 2, 6, 10, 6, 6, 6, 6, 2, 2, 10, 10, 1, 9, 1, 10, 6, 6, 6, 6, 2, 6, 1, 1, 10, 6, 2, 6, 10, 1, 10, 4, 1, 1, 6, 6, 6, 2, 2, 2, 10, 6, 1, 9, 2, 10, 6, 2, 2, 6, 2, 1, 1, 1, 6, 10, 6, 2, 6, 6, 6, 6, 10, 6, 1, 2, 10, 2, 1, 2, 2, 6, 1, 6, 10, 1, 10, 1, 10, 6, 6, 9, 2, 2, 6, 6, 1, 1, 6, 2, 10, 2, 10, 10, 6, 1, 6, 6, 6, 1, 6, 1, 1, 10, 2, 5, 1, 1, 2, 1, 1, 6, 1, 4, 2, 1, 10, 6, 10, 2, 2, 2, 1, 6, 6, 6, 1, 1, 2, 1, 2, 10, 6, 6, 1, 6, 2, 1, 10, 10, 1, 1, 2, 1, 6, 6, 6, 1, 2, 10, 1, 6, 6, 1, 6, 10, 1, 1, 10, 2, 9, 2, 1, 5, 2, 6, 2, 10, 1, 6, 10, 6, 2, 2, 2, 10, 10, 1, 1, 6, 2, 4, 6, 1, 2, 10, 6, 2, 6, 6, 6, 10, 1, 1, 6, 1, 1, 2, 6, 2, 5, 1, 6, 6, 2, 5, 2, 6, 10, 6, 2, 10, 6, 2, 6, 2, 6, 10, 2, 10, 2, 1, 1, 10, 1, 1, 10, 6, 9, 6, 1, 10, 1, 6, 6, 2, 1, 2, 2, 1, 10, 6, 6, 6, 1, 6, 10, 1, 10, 6, 2, 1, 2, 10, 6, 1, 2, 2, 2, 10, 2, 1, 2, 2, 6, 2, 2, 2, 6, 10, 10, 1, 1, 10, 6, 6, 10, 6, 10, 6, 1, 2, 6, 9, 1, 1, 5, 6, 4, 1, 10, 10, 10, 6, 1, 10, 1, 2, 10, 1, 1, 2, 1, 1, 10, 1, 2, 10, 2, 10, 10, 6, 2, 6, 1, 2, 2, 1, 1, 10, 10, 0, 1, 2, 6, 2, 1, 1, 2, 2, 2, 10, 10, 6, 6, 1, 10, 6, 10, 2, 6, 6, 2, 2, 2, 10, 6, 2, 10, 1, 6, 10, 1, 2, 10, 2, 2, 1, 2, 1, 2, 2, 10, 2, 2, 1, 1, 10, 2, 1, 10, 10, 2, 2, 6, 10, 2, 1, 9, 5, 6, 1, 1, 4, 1, 6, 2, 1, 2, 6, 1, 2, 1, 2, 1, 10, 10, 2, 1, 10, 10, 6, 6, 2, 1, 2, 6, 10, 9, 1, 10, 2, 2, 10, 10, 10, 2, 1, 10, 10, 2, 2, 1, 2, 1, 2, 1, 1, 10, 6, 1, 1, 10, 9, 1, 6, 1, 1, 6, 2, 10, 5, 1, 6, 10, 2, 1, 10, 0, 1, 6, 1, 2, 1, 6, 1, 10, 2, 1, 6, 10, 6, 10, 6, 2, 6, 10, 6, 1, 6, 1, 2, 6, 10, 4, 10, 1, 10, 6, 6, 6, 2, 9, 6, 10, 1, 10, 6, 10, 9, 1, 1, 10, 6, 1, 1, 6, 2, 10, 2, 1, 6, 2, 2, 10, 2, 5, 10, 2, 6, 6, 10, 10, 10, 10, 2, 10, 1, 2, 6, 10, 10, 10, 10, 1, 1, 6, 2, 1, 1, 10, 10, 1, 6, 1, 10, 1, 10, 2, 10, 10, 2, 2, 1, 1, 6, 6, 10, 2, 1, 10, 2, 10, 2, 6, 2, 6, 6, 2, 6, 2, 2, 10, 6, 6, 10, 6, 10, 10, 10, 1, 2, 2, 1, 6, 10, 1, 6, 2, 10, 6, 4, 2, 1, 6, 6, 10, 6, 1, 10, 6, 10, 10, 6, 6, 10, 1, 2, 10, 1, 1, 2, 1, 1, 10, 10, 10, 10, 1, 1, 10, 6, 10, 1, 6, 2, 2, 6, 6, 2, 2, 6, 0, 6, 6, 1, 2, 6, 2, 10, 10, 2, 6, 2, 6, 1, 2, 5, 2, 6, 6, 6, 1, 6, 2, 2, 1, 1, 6, 6, 6, 6, 2, 1, 10, 2, 6, 10, 2, 6, 1, 10, 6, 6, 10, 1, 10, 2, 1, 1, 6, 1, 2, 1, 6, 10, 10, 1, 10, 1, 1, 1, 10, 1, 10, 2, 6, 2, 6, 10, 1, 6, 10, 10, 10, 10, 10, 10, 1, 10, 2, 1, 1, 1, 6, 2, 6, 2, 2, 10, 2, 2, 6, 2, 6, 2, 10, 1, 2, 2, 6, 2, 10, 1, 10, 1, 6, 2, 10, 10, 6, 2, 6, 10, 10, 10, 1, 4, 6, 10, 10, 1, 0, 6, 6, 2, 10, 1, 1, 10, 2, 10, 6, 1, 10, 6, 6, 4, 1, 1, 2, 10, 6, 2, 2, 6, 2, 10, 1, 6, 6, 10, 6, 1, 6, 2, 5, 2, 10, 1, 2, 10, 6, 2, 2, 10, 1, 1, 6, 6, 10, 1, 6, 2, 2, 6, 1, 10, 2, 6, 6, 1, 2, 10, 10, 1, 2, 6, 10, 2, 2, 2, 1, 10, 1, 2, 2, 10, 2, 10, 6, 6, 1, 10, 2, 6, 10, 1, 10, 1, 1, 6, 6, 2, 10, 6, 6, 6, 6, 10, 1, 6, 2, 2, 10, 2, 2, 2, 2, 2, 10, 1, 1, 10, 6, 2, 10, 1, 6, 6, 6, 2, 2, 2, 1, 6, 10, 10, 1, 2, 2, 6, 6, 1, 5, 6, 2, 6, 10, 10, 2, 10, 10, 4, 6, 10, 1, 1, 6, 10, 6, 1, 2, 1, 10, 1, 1, 6, 2, 2, 2, 1, 1, 10, 10, 10, 1, 1, 10, 1, 0, 6, 1, 10, 6, 1, 1, 10, 9, 10, 10, 6, 2, 1, 6, 1, 1, 10, 6, 6, 6, 1, 2, 10, 10, 2, 10, 10, 2, 4, 6, 1, 2, 10, 1, 6, 6, 1, 1, 2, 10, 2, 2, 1, 1, 2, 2, 1, 6, 10, 1, 10, 10, 10, 6, 2, 2, 6, 2, 10, 10, 6, 2, 6, 10, 1, 10, 1, 1, 1, 10, 10, 6, 6, 1, 6, 6, 10, 10, 1, 10, 2, 1, 10, 1, 1, 1, 10, 2, 10, 2, 1, 6, 2, 6, 1, 10, 2, 6, 6, 2, 1, 1, 6, 1, 6, 1, 6, 2, 2, 10, 6, 6, 10, 1, 10, 1, 6, 10, 10, 10, 2, 6, 10, 10, 6, 2, 10, 6, 6, 2, 10, 6, 1, 4, 2, 5, 1, 6, 2, 2, 2, 6, 10, 2, 1, 10, 6, 2, 6, 2, 10, 6, 2, 10, 10, 1, 6, 40, 6, 2, 2, 1, 10, 6, 10, 1, 2, 6, 6, 6, 6, 2, 2, 10, 6, 2, 1, 2, 1, 10, 10, 6, 1, 6, 6, 6, 10, 6, 10, 10, 6, 6, 5, 4, 6, 1, 10, 10, 10, 6, 2, 1, 6, 2, 2, 6, 2, 1, 2, 6, 1, 6, 10, 10, 6, 4, 1, 1, 1, 1, 2, 1, 2, 1, 10, 10, 6, 1, 2, 1, 2, 6, 2, 1, 2, 1, 10, 4, 6, 6, 10, 2, 1, 2, 2, 1, 0, 6, 1, 10, 6, 2, 2, 2, 6, 2, 2, 1, 1, 10, 10, 6, 10, 10, 6, 2, 6, 10, 10, 2, 6, 2, 2, 10, 2, 10, 10, 1, 6, 6, 1, 10, 6, 2, 1, 1, 10, 6, 5, 6, 1, 1, 1, 2, 6, 6, 6, 1, 1, 6, 5, 1, 9, 10, 10, 2, 2, 2, 2, 2, 2, 2, 6, 10, 1, 1, 10, 2, 1, 10, 1, 10, 6, 10, 2, 1, 10, 1, 1, 1, 2, 10, 2, 1, 2, 2, 2, 10, 10, 10, 10, 6, 1, 6, 1, 2, 2, 10, 1, 6, 10, 2, 1, 1, 1, 2, 1, 4, 2, 10, 2, 10, 6, 6, 2, 2, 2, 10, 1, 6, 1, 6, 2, 2, 1, 2, 10, 10, 6, 6, 2, 2, 1, 1, 2, 1, 6, 10, 6, 6, 6, 6, 10, 6, 1, 10, 10, 1, 2, 1, 9, 2, 10, 2, 2, 1, 6, 1, 2, 6, 2, 10, 1, 40, 6, 1, 10, 10, 6, 2, 1, 10, 2, 6, 1, 2, 1, 2, 10, 1, 1, 6, 6, 6, 1, 2, 10, 2, 2, 10, 2, 1, 2, 10, 6, 10, 2, 1, 10, 2, 2, 10, 10, 1, 10, 1, 1, 1, 10, 6, 1, 6, 1, 2, 2, 2, 2, 1, 10, 1, 6, 10, 1, 1, 1, 10, 1, 1, 6, 10, 6, 10, 1, 6, 1, 6, 2, 2, 1, 10, 10, 2, 1, 2, 10, 1, 5, 6, 10, 10, 1, 2, 1, 10, 10, 1, 2, 2, 6, 1, 9, 10, 10, 6, 6, 10, 2, 6, 1, 1, 1, 6, 2, 1, 6, 6, 2, 2, 2, 2, 6, 2, 1, 2, 6, 1, 2, 6, 1, 10, 2, 1, 10, 2, 1, 1, 2, 10, 2, 6, 6, 1, 10, 10, 1, 10, 10, 9, 1, 2, 6, 10, 2, 5, 1, 1, 1, 1, 10, 1, 6, 1, 10, 1, 2, 6, 2, 10, 6, 2, 6, 1, 2, 1, 10, 1, 10, 1, 2, 1, 10, 6, 10, 2, 2, 6, 1, 6, 1, 6, 2, 2, 2, 2, 6, 2, 6, 1, 10, 2, 2, 10, 6, 6, 6, 2, 2, 10, 10, 6, 10, 2, 10, 10, 10, 2, 10, 2, 6, 10, 10, 6, 10, 2, 1, 1, 2, 1, 1, 2, 2, 6, 10, 2, 1, 1, 6, 10, 1, 10, 6, 5, 6, 2, 2, 10, 10, 10, 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2, 2, 6, 2, 6, 2, 1, 1, 0, 1, 10, 2, 10, 10, 10, 1, 1, 1, 1, 6, 6, 6, 2, 10, 1, 10, 2, 2, 10, 1, 10, 2, 6, 2, 10, 10, 4, 2, 1, 10, 6, 1, 6, 10, 6, 1, 10, 2, 1, 2, 1, 2, 2, 10, 2, 10, 6, 1, 2, 2, 6, 10, 1, 10, 6, 1, 1, 2, 6, 6, 6, 6, 6, 2, 2, 6, 10, 10, 6, 6, 10, 6, 10, 6, 10, 6, 0, 6, 2, 2, 1, 50, 10, 1, 6, 2, 10, 10, 10, 10, 0, 2, 1, 6, 10, 2, 2, 10, 6, 10, 10, 10, 6, 2, 2, 10, 0, 1, 10, 2, 2, 4, 6, 6, 6, 4, 10, 2, 1, 1, 2, 2, 10, 2, 1, 2, 2, 2, 2, 4, 10, 6, 10, 10, 2, 2, 1, 6, 6, 6, 6, 10, 6, 1, 10, 6, 10, 10, 6, 1, 2, 2, 4, 10, 2, 6, 2, 6, 10, 6, 2, 2, 6, 1, 2, 1, 2, 2, 6, 6, 6, 10, 2, 2, 10, 2, 10, 1, 6, 2, 1, 6, 2, 1, 2, 6, 10, 10, 10, 10, 2, 2, 1, 4, 6, 6, 2, 6, 10, 2, 6, 10, 1, 6, 2, 1, 1, 6, 2, 1, 10, 10, 2, 1, 2, 10, 6, 2, 10, 1, 6, 1, 1, 2, 2, 6, 2, 10, 2, 1, 2, 6, 6, 1, 2, 6, 6, 10, 1, 6, 10, 10, 6, 6, 10, 0, 2, 6, 2, 10, 2, 6, 1, 1, 0, 2, 10, 2, 6, 6, 10, 1, 6, 6, 5, 2, 10, 1, 10, 1, 10, 1, 2, 2, 2, 6, 1, 2, 10, 6, 10, 1, 0, 10, 1, 10, 6, 10, 6, 10, 2, 6, 1, 10, 10, 5, 2, 6, 10, 1, 2, 6, 10, 2, 1, 6, 5, 1, 1, 10, 1, 10, 9, 10, 10, 1, 6, 6, 1, 2, 1, 6, 10, 6, 1, 6, 1, 1, 10, 2, 6, 1, 6, 1, 2, 10, 10, 2, 1, 10, 6, 6, 10, 6, 2, 10, 10, 1, 10, 6, 10, 2, 2, 1, 6, 6, 1, 2, 10, 1, 2, 2, 6, 2, 2, 10, 1, 6, 2, 6, 6, 6, 6, 2, 2, 6, 0, 6, 6, 6, 1, 6, 2, 10, 1, 1, 6, 6, 0, 6, 6, 10, 10, 6, 10, 10, 2, 4, 2, 10, 1, 2, 2, 1, 2, 2, 10, 10, 2, 1, 6, 1, 10, 6, 1, 6, 10, 2, 2, 1, 6, 6, 10, 10, 6, 6, 10, 6, 10, 10, 2, 6, 1, 1, 6, 6, 10, 6, 1, 6, 2, 6, 10, 6, 1, 1, 2, 2, 6, 10, 1, 2, 1, 2, 1, 2, 6, 10, 2, 1, 6, 10, 10, 1, 6, 6, 6, 2, 1, 10, 1, 1, 2, 6, 6, 10, 2, 10, 10, 10, 1, 1, 1, 2, 2, 1, 1, 10, 1, 1, 2, 10, 10, 2, 1, 2, 10, 1, 10, 10, 2, 1, 10, 6, 1, 2, 6, 1, 1, 6, 6, 2, 1, 1, 2, 10, 1, 6, 6, 4, 1, 2, 4, 2, 1, 2, 10, 2, 6, 4, 10, 10, 2, 10, 1, 1, 10, 2, 2, 1, 2, 10, 1, 2, 6, 10, 2, 1, 10, 1, 10, 2, 6, 2, 6, 10, 2, 10, 5, 6, 2, 1, 6, 1, 10, 1, 6, 6, 10, 2, 1, 2, 6, 2, 1, 1, 1, 2, 6, 10, 2, 10, 2, 1, 6, 2, 6, 6, 6, 10, 6, 1, 6, 2, 6, 2, 6, 1, 10, 10, 1, 1, 2, 6, 10, 10, 6, 2, 5, 1, 2, 6, 1, 2, 10, 2, 6, 10, 2, 6, 2, 6, 1, 5, 6, 6, 6, 6, 6, 1, 2, 6, 1, 1, 2, 1, 6, 10, 10, 2, 6, 2, 10, 1, 10, 1, 10, 10, 4, 2, 6, 10, 10, 1, 1, 6, 6, 6, 10, 1, 10, 10, 10, 10, 1, 2, 10, 2, 1, 10, 6, 6, 6, 6, 10, 1, 1, 2, 6, 10, 6, 1, 2, 6, 10, 2, 10, 5, 6, 1, 6, 1, 1, 10, 2, 2, 2, 10, 2, 2, 1, 1, 6, 2, 2, 10, 2, 10, 2, 1, 6, 10, 1, 2, 5, 10, 1, 1, 1, 1, 10, 10, 1, 1, 10, 6, 1, 6, 1, 1, 1, 1, 2, 6, 2, 2, 2, 10, 2, 1, 10, 6, 1, 1, 1, 6, 1, 10, 10, 6, 1, 10, 2, 6, 1, 10, 1, 1, 2, 2, 2, 10, 6, 1, 2, 6, 6, 6, 2, 2, 10, 6, 2, 2, 1, 6, 10, 6, 6, 10, 9, 1, 5, 2, 10, 2, 1, 1, 1, 0, 6, 1, 10, 1, 5, 10, 1, 6, 6, 0, 6, 10, 6, 10, 10, 2, 6, 0, 9, 2, 6, 1, 5, 2, 2, 5, 1, 1, 2, 6, 6, 2, 2, 1, 10, 1, 2, 6, 2, 1, 2, 10, 6, 10, 1, 10, 10, 10, 1, 10, 1, 6, 2, 6, 2, 2, 6, 10, 10, 10, 10, 6, 1, 10, 1, 6, 1, 10, 1, 10, 1, 1, 1, 1, 6, 6, 1, 6, 10, 1, 10, 10, 2, 10, 6, 1, 1, 6, 10, 10, 2, 1, 6, 6, 10, 2, 1, 6, 2, 2, 2, 6, 2, 6, 10, 6, 1, 6, 2, 2, 1, 2, 1, 1, 2, 6, 1, 10, 1, 2, 2, 6, 1, 6, 10, 1, 10, 1, 1, 1, 6, 2, 2, 1, 10, 2, 1, 6, 6, 10, 2, 6, 1, 6, 10, 2, 6, 10, 10, 5, 1, 1, 10, 6, 6, 2, 6, 1, 2, 6, 1, 2, 10, 6, 6, 2, 10, 1, 2, 1, 10, 2, 4, 2, 2, 2, 10, 10, 6, 6, 1, 6, 6, 6, 6, 2, 10, 1, 6, 10, 1, 9, 1, 1, 10, 1, 10, 1, 1, 2, 10, 2, 6, 1, 10, 2, 1, 2, 2, 2, 10, 2, 6, 10, 1, 6, 10, 1, 9, 10, 2, 9, 2, 6, 2, 6, 1, 1, 2, 2, 2, 10, 10, 1, 2, 2, 10, 1, 1, 1, 1, 6, 2, 6, 2, 10, 1, 6, 10, 6, 10, 1, 1, 6, 6, 5, 10, 10, 6, 1, 2, 2, 6, 10, 1, 10, 1, 10, 5, 1, 10, 2, 10, 1, 1, 1, 10, 6, 1, 10, 10, 6, 10, 1, 10, 6, 1, 6, 1, 2, 6, 6, 6, 1, 2, 2, 2, 1, 6, 10, 9, 2, 10, 2, 6, 10, 10, 1, 2, 6, 6, 1, 2, 6, 2, 6, 1, 1, 1, 1, 6, 2, 6, 2, 6, 2, 1, 2, 6, 6, 1, 10, 2, 1, 2, 10, 6, 1, 6, 2, 10, 2, 5, 6, 2, 6, 1, 10, 6, 4, 2, 1, 6, 1, 6, 2, 6, 1, 10, 10, 0, 10, 6, 2, 1, 10, 2, 2, 10, 6, 6, 1, 2, 6, 1, 2, 10, 10, 6, 1, 2, 6, 2, 1, 1, 10, 1, 2, 2, 1, 6, 1, 1, 9, 10, 2, 2, 1, 10, 6, 10, 6, 10, 2, 6, 10, 6, 1, 2, 10, 6, 0, 6, 2, 2, 2, 6, 10, 2, 6, 10, 1, 2, 10, 10, 10, 2, 6, 1, 1, 1, 2, 2, 2, 2, 10, 10, 6, 6, 10, 10, 10, 10, 6, 10, 10, 1, 2, 1, 2, 2, 6, 1, 6, 1, 2, 2, 6, 0, 1, 2, 1, 2, 1, 6, 10, 2, 10, 10, 10, 6, 6, 2, 10, 2, 10, 1, 1, 6, 10, 6, 4, 1, 6, 10, 6, 2, 6, 1, 1, 6, 2, 1, 6, 1, 10, 10, 6, 10, 9, 10, 6, 1, 10, 10, 1, 2, 2, 6, 1, 6, 6, 2, 10, 10, 2, 2, 6, 2, 6, 10, 10, 6, 1, 10, 10, 10, 1, 6, 2, 1, 10, 2, 1, 2, 10, 1, 10, 10, 1, 6, 10, 9, 10, 6, 2, 2, 10, 1, 10, 10, 2, 2, 10, 10, 0, 2, 6, 6, 6, 2, 1, 1, 6, 1, 2, 10, 1, 6, 6, 1, 6, 6, 2, 10, 10, 1, 9, 10, 1, 10, 6, 6, 2, 10, 6, 10, 10, 1, 3, 1, 10, 2, 6, 2, 6, 1, 9, 1, 2, 10, 1, 10, 6, 6, 6, 10, 2, 10, 6, 10, 6, 2, 10, 6, 1, 6, 2, 10, 6, 2, 2, 2, 1, 50, 10, 10, 6, 6, 1, 2, 10, 10, 6, 2, 2, 10, 1, 2, 6, 2, 10, 2, 1, 1, 6, 2, 6, 6, 10, 6, 1, 10, 1, 1, 2, 1, 2, 6, 6, 1, 10, 6, 2, 1, 6, 6, 10, 2, 1, 10, 1, 2, 2, 10, 10, 10, 6, 4, 6, 10, 6, 5, 2, 2, 10, 10, 10, 2, 1, 2, 2, 2, 10, 6, 1, 2, 6, 1, 2, 10, 5, 10, 6, 1, 6, 1, 6, 10, 6, 5, 10, 10, 6, 6, 10, 6, 2, 6, 6, 1, 6, 1, 2, 1, 2, 10, 10, 6, 1, 1, 6, 2, 1, 6, 2, 1, 10, 1, 10, 10, 6, 10, 1, 2, 6, 10, 1, 10, 10, 2, 1, 10, 1, 6, 10, 10, 0, 6, 10, 1, 10, 6, 0, 2, 6, 1, 2, 1, 2, 6, 6, 2, 10, 1, 2, 1, 1, 2, 2, 10, 1, 1, 6, 1, 2, 2, 2, 1, 1, 6, 2, 1, 2, 10, 1, 6, 6, 6, 2, 1, 2, 2, 6, 2, 9, 2, 6, 6, 10, 2, 2, 1, 6, 6, 6, 1, 1, 2, 1, 10, 10, 10, 10, 6, 2, 10, 1, 6, 2, 1, 2, 1, 2, 2, 2, 10, 2, 1, 1, 10, 2, 6, 1, 6, 1, 6, 6, 6, 2, 10, 2, 1, 6, 2, 6, 6, 1, 6, 10, 1, 10, 6, 6, 1, 1, 10, 2, 2, 1, 10, 2, 10, 6, 1, 2, 2, 1, 1, 6, 2, 6, 2, 2, 6, 2, 10, 1, 10, 10, 10, 10, 2, 6, 2, 10, 1, 6, 2, 10, 2, 10, 10, 1, 1, 6, 6, 1, 10, 6, 2, 2, 1, 1, 10, 1, 6, 1, 1, 6, 2, 10, 2, 2, 6, 6, 6, 6, 10, 2, 1, 10, 5, 1, 10, 1, 10, 2, 2, 6, 10, 6, 10, 2, 10, 2, 1, 6, 6, 2, 6, 2, 2, 10, 6, 6, 2, 10, 10, 2, 6, 1, 10, 2, 6, 6, 6, 10, 1, 6, 6, 2, 10, 1, 6, 6, 1, 10, 6, 10, 5, 1, 1, 6, 10, 6, 1, 10, 2, 1, 1, 1, 2, 6, 2, 2, 10, 2, 10, 2, 6, 10, 6, 10, 1, 6, 6, 6, 2, 6, 2, 1, 1, 2, 10, 10, 2, 6, 10, 1, 4, 2, 1, 1, 2, 1, 6, 10, 5, 10, 1, 6, 10, 6, 2, 2, 0, 1, 1, 1, 6, 6, 2, 2, 6, 6, 2, 6, 2, 1, 2, 6, 5, 2, 1, 2, 10, 10, 1, 2, 1, 2, 2, 2, 1, 10, 9, 6, 10, 2, 10, 2, 1, 2, 10, 6, 2, 2, 2, 10, 6, 2, 10, 6, 10, 2, 1, 10, 10, 10, 2, 2, 10, 2, 6, 6, 10, 2, 10, 1, 6, 10, 10, 2, 2, 10, 5, 10, 2, 10, 1, 6, 6, 6, 6, 2, 10, 10, 1, 6, 10, 6, 6, 6, 5, 6, 6, 2, 6, 10, 2, 10, 2, 6, 2, 2, 2, 1, 1, 10, 6, 2, 6, 6, 1, 2, 6, 6, 2, 1, 10, 2, 1, 6, 10, 6, 5, 10, 1, 2, 10, 6, 6, 2, 1, 10, 2, 10, 2, 1, 2, 2, 2, 1, 2, 10, 10, 6, 6, 2, 2, 1, 6, 10, 10, 10, 10, 2, 10, 6, 6, 2, 1, 10, 1, 10, 6, 2, 10, 1, 6, 1, 2, 1, 1, 5, 5, 2, 6, 10, 10, 6, 6, 1, 1, 10, 2, 10, 6, 1, 1, 2, 2, 1, 1, 1, 3, 10, 10, 1, 1, 10, 2, 2, 1, 10, 10, 10, 2, 10, 2, 6, 6, 1, 0, 6, 10, 6, 1, 1, 2, 2, 6, 6, 6, 6, 6, 1, 6, 2, 2, 1, 2, 2, 1, 6, 10, 1, 10, 10, 1, 6, 2, 6, 10, 10, 6, 2, 2, 1, 2, 6, 2, 1, 6, 2, 1, 6, 2, 1, 1, 1, 10, 6, 10, 4, 10, 2, 1, 1, 2, 6, 1, 2, 1, 1, 1, 1, 6, 1, 1, 1, 6, 2, 6, 1, 2, 2, 2, 10, 10, 10, 5, 1, 1, 2, 10, 2, 6, 6, 2, 1, 2, 1, 6, 2, 2, 6, 10, 2, 10, 2, 1, 1, 10, 1, 10, 6, 2, 10, 6, 6, 10, 10, 1, 6, 6, 2, 2, 2, 6, 6, 6, 6, 10, 2, 10, 2, 10, 6, 10, 2, 2, 10, 10, 1, 6, 6, 6, 6, 6, 10, 1, 0, 6, 6, 2, 10, 1, 6, 1, 2, 6, 10, 1, 1, 2, 10, 2, 2, 2, 10, 6, 2, 10, 10, 10, 1, 10, 2, 1, 10, 10, 10, 6, 6, 10, 2, 2, 6, 1, 10, 10, 2, 10, 10, 6, 1, 2, 6, 2, 6, 1, 9, 6, 6, 6, 2, 1, 2, 6, 2, 6, 1, 9, 2, 10, 4, 6, 2, 9, 10, 6, 9, 6, 6, 6, 10, 4, 9, 6, 9, 10, 6, 1, 10, 1, 2, 4, 6, 1, 1, 1, 1, 10, 0, 10, 10, 6, 2, 1, 2, 6, 6, 10, 6, 1, 2, 1, 2, 10, 6, 2, 2, 6, 1, 2, 1, 1, 2, 2, 2, 2, 6, 1, 1, 2, 6, 2, 2, 6, 10, 5, 6, 1, 10, 5, 6, 2, 1, 6, 2, 1, 1, 10, 1, 10, 1, 2, 1, 2, 6, 2, 10, 0, 2, 1, 2, 10, 1, 2, 6, 1, 1, 6, 10, 6, 6, 1, 6, 6, 6, 1, 2, 6, 2, 1, 1, 2, 10, 8, 1, 10, 6, 1, 6, 6, 1, 10, 2, 2, 2, 5, 2, 10, 1, 10, 2, 6, 6, 10, 6, 2, 10, 6, 2, 6, 1, 10, 1, 10, 10, 1, 10, 10, 1, 6, 10, 1, 6, 10, 2, 2, 10, 2, 6, 6, 1, 2, 10, 2, 1, 1, 1, 10, 6, 10, 1, 2, 1, 2, 10, 6, 1, 10, 10, 6, 10, 1, 1, 10, 1, 2, 10, 2, 6, 2, 4, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 2, 2, 6, 2, 2, 1, 1, 10, 2, 2, 1, 10, 6, 2, 6, 10, 1, 6, 10, 10, 1, 10, 2, 6, 6, 10, 10, 1, 1, 1, 6, 10, 1, 10, 1, 1, 10, 2, 6, 10, 10, 6, 2, 2, 2, 2, 1, 6, 6, 10, 2, 10, 2, 1, 2, 10, 9, 1, 6, 6, 2, 1, 10, 1, 1, 2, 6, 6, 2, 2, 2, 6, 2, 1, 2, 1, 1, 1, 2, 6, 1, 1, 10, 2, 2, 6, 2, 2, 6, 1, 1, 4, 2, 2, 6, 1, 6, 6, 6, 10, 6, 1, 6, 1, 6, 2, 1, 0, 6, 6, 10, 10, 1, 10, 6, 2, 10, 10, 2, 10, 10, 6, 6, 6, 10, 10, 2, 2, 4, 6, 6, 1, 1, 6, 6, 1, 6, 1, 2, 2, 1, 5, 10, 5, 6, 6, 6, 6, 1, 2, 6, 1, 1, 2, 10, 2, 10, 6, 10, 6, 10, 10, 5, 10, 1, 1, 10, 1, 2, 2, 2, 1, 6, 9, 4, 2, 6, 6, 1, 10, 10, 10, 10, 6, 10, 2, 10, 1, 1, 2, 6, 6, 6, 10, 6, 2, 1, 1, 1, 1, 10, 2, 6, 6, 10, 1, 6, 1, 1, 2, 6, 2, 2, 10, 2, 2, 10, 1, 10, 2, 6, 1, 6, 6, 1, 10, 2, 1, 6, 1, 6, 10, 6, 10, 6, 10, 1, 6, 6, 6, 6, 10, 2, 2, 1, 10, 2, 10, 1, 10, 10, 10, 1, 1, 6, 10, 1, 2, 1, 2, 4, 1, 1, 5, 0, 1, 2, 2, 2, 2, 6, 2, 1, 6, 1, 6, 6, 6, 1, 6, 1, 10, 6, 1, 1, 1, 2, 1, 10, 1, 10, 2, 4, 10, 6, 2, 6, 1, 2, 10, 1, 1, 1, 2, 6, 6, 2, 2, 1, 10, 1, 6, 10, 10, 1, 10, 1, 2, 6, 1, 10, 2, 6, 10, 6, 6, 1, 6, 6, 2, 1, 10, 1, 10, 10, 10, 6, 2, 1, 6, 1, 2, 1, 10, 2, 1, 2, 2, 1, 2, 2, 6, 1, 2, 1, 2, 1, 2, 2, 9, 10, 2, 1, 10, 10, 6, 10, 1, 2, 10, 1, 1, 10, 10, 10, 1, 6, 10, 1, 6, 1, 1, 10, 6, 6, 2, 1, 2, 1, 2, 10, 1, 10, 2, 2, 1, 2, 1, 1, 2, 1, 2, 6, 10, 2, 4, 9, 6, 1, 1, 1, 1, 6, 2, 10, 2, 1, 2, 6, 2, 2, 2, 10, 6, 6, 6, 1, 5, 6, 1, 2, 10, 6, 1, 1, 10, 2, 1, 2, 2, 6, 1, 6, 6, 6, 10, 10, 2, 10, 6, 9, 1, 6, 1, 2, 6, 1, 1, 6, 10, 1, 10, 10, 10, 10, 2, 1, 2, 1, 6, 2, 2, 1, 2, 1, 2, 1, 2, 10, 6, 2, 10, 6, 6, 1, 10, 1, 6, 1, 6, 6, 2, 2, 2, 1, 6, 6, 5, 2, 10, 10, 2, 2, 1, 9, 1, 6, 1, 2, 10, 10, 10, 2, 1, 1, 10, 1, 2, 10, 2, 1, 6, 2, 6, 2, 2, 10, 2, 10, 2, 1, 10, 6, 10, 6, 1, 1, 1, 1, 6, 2, 6, 6, 6, 2, 10, 1, 1, 1, 6, 6, 10, 2, 1, 1, 2, 5, 6, 6, 10, 6, 1, 10, 2, 2, 2, 2, 1, 6, 2, 1, 6, 2, 10, 2, 2, 2, 6, 6, 2, 2, 6, 1, 6, 10, 1, 10, 2, 6, 1, 6, 6, 1, 1, 1, 2, 1, 6, 6, 2, 1, 10, 2, 6, 6, 6, 6, 1, 6, 6, 1, 6, 6, 2, 1, 6, 6, 1, 2, 2, 1, 1, 9, 2, 1, 1, 6, 2, 1, 10, 2, 10, 1, 10, 6, 10, 1, 10, 1, 1, 6, 6, 10, 1, 10, 2, 2, 1, 1, 2, 6, 2, 6, 2, 10, 6, 1, 1, 6, 10, 6, 10, 1, 6, 10, 2, 6, 2, 2, 1, 2, 1, 10, 6, 6, 1, 10, 2, 6, 10, 1, 1, 10, 10, 6, 6, 2, 6, 4, 1, 2, 1, 1, 10, 6, 10, 10, 6, 1, 1, 10, 2, 2, 1, 10, 10, 6, 2, 10, 2, 1, 1, 1, 1, 6, 10, 6, 6, 2, 1, 10, 10, 2, 1, 6, 10, 6, 10, 6, 10, 10, 10, 10, 6, 6, 6, 1, 10, 6, 1, 2, 2, 6, 6, 6, 4, 2, 2, 0, 6, 6, 10, 10, 7, 1, 6, 6, 10, 10, 2, 1, 6, 6, 1, 2, 1, 2, 6, 6, 1, 2, 10, 6, 1, 2, 6, 1, 10, 10, 1, 2, 1, 6, 10, 10, 2, 1, 2, 6, 6, 10, 1, 6, 1, 6, 1, 2, 1, 10, 10, 1, 4, 2, 0, 6, 2, 6, 1, 6, 6, 2, 1, 2, 2, 6, 10, 10, 1, 2, 2, 6, 2, 1, 1, 6, 6, 1, 6, 10, 10, 1, 2, 2, 1, 10, 4, 1, 1, 1, 1, 2, 5, 6, 0, 2, 10, 10, 1, 10, 2, 10, 2, 10, 6, 10, 2, 2, 10, 10, 1, 2, 6, 1, 10, 1, 6, 10, 10, 6, 10, 6, 1, 6, 6, 2, 10, 2, 10, 10, 6, 6, 5, 10, 6, 6, 2, 6, 6, 1, 1, 1, 1, 10, 10, 10, 10, 1, 2, 2, 2, 6, 6, 10, 1, 10, 2, 2, 6, 2, 2, 6, 1, 2, 6, 1, 1, 2, 10, 1, 1, 1, 10, 2, 6, 6, 6, 10, 2, 2, 10, 6, 6, 6, 2, 10, 1, 2, 2, 1, 2, 1, 6, 1, 2, 6, 2, 1, 1, 6, 6, 1, 10, 6, 1, 1, 1, 2, 2, 1, 2, 10, 1, 1, 1, 10, 2, 1, 10, 10, 4, 10, 10, 1, 2, 1, 10, 2, 1, 6, 10, 2, 6, 10, 6, 6, 2, 6, 10, 6, 6, 2, 9, 10, 1, 2, 2, 1, 2, 1, 6, 2, 4, 2, 6, 1, 6, 10, 10, 10, 2, 1, 6, 10, 10, 10, 1, 6, 10, 1, 1, 2, 1, 1, 6, 1, 10, 6, 10, 10, 1, 2, 10, 2, 6, 10, 6, 10, 2, 10, 1, 2, 2, 2, 6, 2, 10, 10, 6, 2, 2, 2, 10, 6, 6, 1, 2, 6, 10, 6, 1, 2, 2, 10, 10, 6, 10, 2, 2, 2, 10, 10, 1, 2, 1, 10, 2, 2, 6, 2, 2, 6, 2, 6, 2, 1, 1, 10, 1, 1, 10, 6, 6, 10, 2, 6, 2, 2, 1, 10, 1, 6, 6, 2, 1, 10, 2, 6, 2, 2, 10, 1, 2, 1, 1, 2, 2, 6, 2, 2, 2, 6, 2, 1, 1, 10, 1, 10, 6, 1, 2, 6, 6, 10, 6, 1, 6, 10, 10, 1, 9, 2, 1, 1, 2, 2, 6, 6, 2, 1, 6, 6, 1, 1, 2, 1, 1, 2, 2, 9, 6, 10, 6, 6, 1, 2, 2, 2, 2, 10, 2, 2, 6, 1, 1, 10, 1, 6, 2, 1, 10, 2, 5, 2, 6, 10, 2, 6, 1, 2, 9, 2, 1, 10, 6, 2, 10, 1, 6, 10, 10, 10, 6, 6, 2, 1, 6, 10, 1, 10, 2, 6, 2, 6, 10, 6, 6, 1, 10, 1, 5, 6, 1, 2, 2, 1, 1, 6, 1, 10, 1, 4, 10, 10, 10, 10, 2, 6, 6, 2, 10, 10, 6, 1, 6, 10, 1, 2, 2, 1, 10, 1, 2, 6, 10, 6, 1, 6, 6, 6, 2, 1, 6, 6, 2, 6, 6, 6, 2, 1, 1, 6, 1, 1, 6, 10, 2, 6, 10, 1, 6, 6, 2, 10, 1, 10, 10, 10, 1, 6, 1, 6, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 6, 6, 6, 2, 10, 6, 6, 10, 10, 10, 6, 2, 10, 10, 10, 2, 6, 6, 1, 2, 4, 1, 4, 1, 1, 2, 10, 10, 6, 10, 1, 1, 10, 10, 10, 50, 1, 9, 6, 4, 1, 1, 1, 6, 1, 10, 10, 2, 6, 2, 1, 10, 10, 1, 1, 9, 2, 1, 1, 1, 2, 1, 6, 1, 6, 10, 2, 2, 6, 1, 2, 2, 5, 1, 10, 6, 10, 6, 6, 10, 1, 2, 6, 10, 10, 2, 10, 1, 1, 2, 1, 2, 1, 6, 1, 2, 6, 10, 10, 10, 10, 6, 2, 10, 10, 2, 2, 2, 6, 6, 2, 1, 1, 6, 1, 10, 1, 6, 1, 2, 2, 6, 6, 1, 10, 1, 1, 1, 10, 10, 2, 2, 10, 5, 10, 10, 10, 8, 1, 9, 2, 6, 0, 6, 2, 6, 2, 6, 10, 1, 1, 6, 2, 1, 1, 6, 10, 1, 6, 1, 1, 6, 2, 6, 1, 1, 1, 1, 4, 6, 10, 10, 6, 2, 6, 6, 6, 1, 1, 10, 6, 1, 6, 10, 1, 6, 2, 10, 6, 6, 1, 1, 1, 2, 10, 2, 6, 2, 6, 6, 2, 1, 2, 2, 2, 1, 10, 1, 1, 6, 10, 6, 1, 1, 2, 6, 10, 6, 1, 5, 2, 6, 2, 2, 6, 6, 2, 6, 6, 6, 1, 10, 2, 10, 2, 6, 10, 6, 2, 9, 10, 1, 1, 2, 10, 1, 10, 6, 6, 6, 1, 6, 6, 2, 1, 9, 1, 1, 10, 6, 2, 6, 10, 1, 2, 10, 6, 10, 1, 6, 6, 1, 2, 1, 6, 1, 10, 6, 1, 10, 1, 10, 6, 10, 10, 1, 6, 6, 1, 10, 10, 9, 2, 2, 1, 6, 1, 2, 6, 1, 2, 2, 1, 1, 1, 6, 2, 5, 2, 2, 1, 1, 6, 6, 6, 6, 2, 6, 1, 10, 1, 10, 10, 2, 2, 10, 2, 6, 10, 6, 10, 1, 2, 9, 2, 6, 1, 6, 6, 10, 2, 2, 10, 1, 2, 10, 6, 6, 10, 10, 1, 10, 10, 10, 10, 10, 6, 4, 5, 2, 2, 6, 6, 10, 6, 2, 2, 10, 6, 1, 1, 10, 10, 2, 2, 10, 6, 1, 1, 2, 1, 1, 10, 10, 6, 2, 4, 2, 1, 1, 10, 2, 6, 10, 10, 6, 2, 2, 4, 10, 6, 6, 1, 1, 1, 6, 1, 10, 1, 10, 6, 2, 2, 1, 10, 1, 6, 2, 6, 6, 1, 1, 10, 10, 10, 1, 6, 6, 1, 2, 2, 6, 2, 2, 10, 6, 1, 2, 1, 1, 1, 1, 6, 10, 6, 9, 6, 2, 2, 5, 6, 2, 2, 6, 10, 10, 2, 2, 0, 2, 1, 10, 2, 10, 2, 6, 1, 2, 10, 6, 1, 2, 10, 10, 1, 2, 1, 1, 6, 10, 10, 1, 10, 2, 2, 6, 2, 2, 1, 1, 1, 2, 6, 1, 1, 6, 1, 10, 1, 2, 10, 1, 2, 1, 2, 0, 10, 1, 1, 6, 1, 1, 2, 1, 1, 9, 2, 6, 10, 1, 6, 6, 10, 2, 6, 6, 10, 6, 0, 10, 6, 2, 10, 10, 1, 1, 1, 2, 6, 1, 10, 1, 2, 10, 1, 1, 2, 6, 10, 1, 10, 5, 2, 10, 6, 1, 10, 10, 1, 6, 1, 10, 1, 10, 10, 6, 10, 6, 6, 2, 6, 10, 2, 10, 10, 6, 6, 2, 2, 1, 4, 6, 1, 10, 6, 2, 2, 10, 1, 6, 1, 10, 6, 6, 1, 2, 1, 2, 1, 6, 10, 10, 2, 6, 6, 10, 6, 10, 1, 2, 1, 1, 2, 6, 1, 2, 6, 10, 6, 10, 2, 2, 1, 1, 10, 1, 2, 10, 10, 10, 10, 1, 6, 1, 6, 2, 6, 10, 2, 6, 6, 10, 6, 4, 2, 1, 2, 6, 2, 2, 2, 6, 2, 2, 6, 6, 10, 2, 2, 6, 10, 6, 10, 6, 10, 10, 1, 1, 9, 10, 2, 10, 5, 1, 1, 6, 6, 1, 6, 2, 4, 10, 2, 6, 6, 6, 10, 1, 10, 10, 1, 2, 6, 1, 6, 6, 10, 10, 2, 1, 10, 1, 10, 6, 10, 2, 6, 1, 1, 6, 10, 1, 10, 10, 6, 6, 10, 1, 10, 2, 6, 10, 10, 2, 6, 6, 6, 2, 2, 6, 10, 6, 10, 6, 2, 1, 1, 10, 2, 6, 6, 10, 6, 6, 1, 10, 1, 10, 1, 2, 1, 10, 2, 10, 1, 6, 2, 10, 10, 6, 1, 1, 1, 1, 10, 6, 2, 1, 1, 1, 1, 1, 2, 2, 6, 5, 6, 6, 1, 6, 2, 6, 6, 6, 6, 10, 1, 2, 10, 1, 2, 10, 2, 10, 2, 1, 6, 10, 2, 1, 1, 1, 2, 6, 10, 5, 6, 10, 10, 2, 10, 1, 10, 2, 10, 10, 2, 10, 1, 10, 0, 1, 6, 1, 6, 6, 6, 2, 10, 6, 6, 2, 2, 1, 6, 1, 1, 2, 6, 1, 10, 10, 1, 1, 2, 10, 6, 10, 1, 2, 10, 2, 2, 2, 2, 2, 10, 2, 6, 6, 10, 2, 10, 4, 2, 6, 6, 10, 6, 1, 10, 10, 1, 6, 0, 2, 2, 6, 10, 2, 2, 2, 6, 6, 2, 6, 1, 6, 6, 6, 1, 2, 9, 10, 6, 10, 6, 2, 2, 6, 2, 2, 6, 10, 6, 10, 2, 2, 1, 10, 10, 10, 2, 10, 2, 6, 1, 6, 10, 1, 6, 2, 10, 5, 10, 2, 1, 2, 10, 2, 6, 1, 1, 2, 1, 10, 10, 1, 2, 6, 6, 10, 6, 1, 10, 2, 10, 6, 2, 1, 1, 6, 6, 1, 6, 10, 10, 6, 10, 2, 6, 6, 10, 2, 2, 10, 10, 2, 10, 6, 10, 2, 6, 2, 2, 2, 2, 6, 6, 1, 2, 6, 2, 10, 1, 10, 6, 2, 10, 2, 1, 2, 10, 10, 6, 10, 10, 6, 10, 10, 1, 1, 2, 10, 10, 6, 1, 6, 1, 10, 1, 1, 2, 6, 1, 6, 6, 10, 2, 1, 2, 2, 2, 1, 10, 1, 2, 10, 1, 1, 1, 1, 10, 2, 10, 2, 10, 10, 10, 6, 1, 9, 2, 10, 10, 2, 6, 1, 10, 10, 6, 2, 2, 1, 10, 6, 0, 6, 10, 6, 10, 10, 10, 1, 2, 2, 10, 2, 10, 6, 10, 6, 6, 6, 6, 2, 1, 6, 2, 6, 10, 1, 2, 2, 1, 10, 6, 9, 1, 2, 10, 2, 2, 6, 10, 2, 6, 6, 1, 2, 2, 1, 10, 1, 6, 1, 2, 2, 1, 5, 9, 2, 6, 1, 2, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 2, 2, 6, 10, 2, 1, 2, 6, 2, 6, 2, 1, 0, 1, 1, 6, 6, 1, 2, 2, 2, 6, 6, 2, 10, 6, 2, 2, 6, 6, 2, 6, 1, 1, 10, 2, 6, 6, 6, 10, 6, 6, 2, 2, 10, 2, 6, 10, 1, 1, 6, 2, 6, 10, 10, 6, 10, 2, 10, 10, 6, 5, 10, 6, 2, 10, 4, 1, 10, 1, 1, 6, 10, 6, 2, 2, 6, 2, 6, 6, 10, 6, 6, 1, 2, 2, 6, 10, 10, 1, 10, 6, 10, 1, 6, 5, 1, 1, 10, 2, 10, 10, 10, 6, 2, 10, 10, 10, 10, 2, 10, 1, 2, 6, 5, 2, 2, 2, 2, 10, 10, 10, 2, 6, 10, 10, 2, 6, 10, 2, 9, 1, 2, 6, 1, 10, 10, 10, 10, 10, 10, 2, 2, 6, 1, 10, 10, 6, 2, 10, 2, 2, 2, 1, 1, 2, 2, 6, 10, 2, 2, 6, 1, 2, 2, 10, 1, 2, 1, 2, 2, 1, 1, 1, 6, 6, 6, 1, 10, 2, 10, 5, 10, 6, 10, 2, 1, 1, 1, 6, 6, 1, 10, 10, 1, 1, 6, 2, 6, 10, 10, 2, 1, 10, 6, 6, 10, 1, 6, 6, 2, 10, 6, 2, 5, 9, 10, 10, 10, 10, 1, 6, 10, 6, 10, 10, 1, 1, 1, 1, 10, 10, 2, 10, 10, 1, 6, 6, 2, 6, 10, 6, 2, 10, 2, 6, 10, 2, 1, 10, 2, 6, 6, 10, 6, 6, 2, 6, 10, 2, 1, 2, 1, 2, 10, 10, 6, 6, 2, 6, 1, 6, 10, 1, 2, 10, 10, 2, 10, 10, 10, 2, 10, 6, 6, 10, 10, 2, 10, 10, 6, 6, 10, 2, 6, 6, 2, 10, 6, 6, 1, 10, 2, 4, 2, 1, 6, 2, 6, 1, 10, 6, 1, 10, 2, 6, 1, 2, 1, 1, 10, 6, 1, 1, 6, 10, 2, 1, 2, 10, 6, 2, 2, 1, 2, 10, 10, 6, 6, 2, 6, 10, 2, 10, 1, 1, 5, 6, 1, 1, 10, 2, 2, 2, 10, 2, 1, 1, 10, 1, 1, 1, 2, 1, 2, 6, 2, 1, 10, 10, 10, 2, 1, 2, 9, 10, 10, 2, 1, 6, 6, 10, 10, 6, 6, 1, 2, 2, 2, 2, 1, 6, 2, 6, 1, 1, 10, 2, 0, 2, 1, 6, 2, 1, 10, 1, 1, 6, 10, 6, 10, 2, 2, 10, 10, 2, 1, 1, 2, 10, 2, 10, 6, 2, 10, 6, 10, 1, 6, 2, 4, 1, 6, 1, 10, 2, 2, 2, 6, 10, 6, 6, 1, 2, 10, 10, 10, 1, 1, 2, 1, 6, 6, 1, 6, 6, 6, 9, 2, 2, 6, 2, 6, 6, 2, 6, 6, 2, 1, 6, 10, 10, 2, 10, 6, 2, 10, 2, 10, 10, 2, 6, 9, 6, 2, 1, 10, 1, 10, 1, 5, 6, 1, 2, 1, 1, 2, 6, 2, 6, 1, 2, 1, 6, 10, 2, 10, 2, 2, 10, 10, 1, 2, 2, 1, 10, 2, 1, 6, 10, 2, 2, 0, 1, 1, 1, 1, 6, 10, 10, 1, 1, 6, 6, 6, 1, 2, 10, 2, 2, 2, 10, 2, 1, 10, 6, 6, 10, 2, 6, 1, 2, 6, 10, 1, 2, 6, 10, 6, 10, 10, 1, 10, 1, 10, 6, 1, 2, 1, 6, 2, 1, 2, 10, 2, 10, 1, 6, 6, 6, 6, 2, 6, 1, 10, 2, 2, 2, 6, 1, 1, 10, 2, 2, 1, 0, 6, 10, 0, 1, 1, 2, 6, 10, 1, 2, 2, 2, 10, 1, 1, 10, 1, 1, 2, 6, 6, 2, 2, 2, 10, 10, 10, 10, 1, 2, 2, 10, 2, 10, 2, 2, 1, 2, 2, 6, 10, 10, 6, 6, 1, 6, 1, 6, 1, 2, 6, 6, 10, 10, 1, 2, 6, 2, 2, 6, 2, 6, 10, 2, 10, 1, 10, 10, 10, 9, 2, 2, 1, 10, 1, 2, 6, 4, 10, 2, 6, 10, 2, 2, 10, 6, 10, 2, 6, 1, 10, 2, 1, 1, 2, 2, 10, 6, 6, 2, 0, 10, 1, 1, 6, 1, 2, 2, 10, 9, 10, 10, 6, 9, 6, 2, 1, 10, 1, 1, 6, 2, 1, 6, 1, 2, 1, 2, 6, 6, 10, 2, 1, 1, 6, 6, 10, 6, 1, 6, 1, 10, 10, 10, 2, 1, 10, 1, 2, 2, 10, 6, 10, 6, 10, 2, 6, 2, 1, 10, 6, 6, 1, 6, 2, 10, 2, 2, 6, 10, 10, 1, 6, 10, 2, 1, 2, 10, 2, 10, 6, 6, 10, 2, 1, 2, 6, 1, 10, 2, 2, 1, 10, 1, 6, 1, 1, 10, 5, 2, 6, 10, 6, 10, 2, 2, 6, 1, 10, 6, 2, 10, 2, 1, 10, 1, 10, 2, 6, 2, 10, 6, 6, 6, 6, 1, 10, 6, 2, 6, 2, 1, 1, 6, 6, 2, 2, 1, 1, 10, 1, 2, 10, 1, 10, 2, 2, 10, 5, 10, 10, 6, 2, 2, 10, 6, 2, 1, 1, 6, 10, 40, 2, 1, 10, 2, 6, 6, 10, 10, 2, 6, 10, 1, 6, 2, 10, 6, 1, 2, 2, 10, 10, 1, 10, 6, 5, 10, 2, 10, 10, 1, 10, 2, 1, 1, 2, 1, 1, 6, 6, 6, 2, 2, 6, 6, 1, 2, 2, 10, 2, 1, 6, 1, 9, 1, 10, 10, 10, 2, 6, 2, 6, 10, 2, 6, 2, 10, 2, 6, 6, 10, 2, 1, 10, 10, 2, 6, 1, 10, 6, 2, 10, 10, 6, 6, 1, 6, 2, 1, 2, 10, 10, 10, 1, 1, 1, 5, 10, 6, 10, 6, 2, 1, 1, 1, 6, 1, 6, 2, 2, 6, 2, 6, 6, 1, 6, 2, 6, 6, 10, 1, 2, 10, 10, 6, 1, 2, 10, 10, 10, 1, 10, 10, 6, 1, 2, 6, 2, 1, 10, 10, 6, 6, 1, 1, 2, 1, 10, 6, 1, 2, 1, 6, 1, 1, 2, 1, 10, 6, 1, 1, 2, 1, 6, 1, 1, 10, 10, 1, 1, 6, 1, 2, 6, 1, 1, 10, 10, 6, 2, 2, 1, 2, 10, 2, 10, 10, 6, 2, 6, 6, 1, 10, 1, 6, 2, 10, 6, 1, 1, 6, 6, 10, 6, 6, 10, 1, 1, 10, 1, 6, 6, 6, 10, 10, 10, 6, 6, 6, 10, 6, 6, 10, 1, 2, 10, 1, 2, 6, 10, 10, 5, 10, 1, 10, 1, 1, 6, 1, 10, 1, 1, 1, 6, 1, 10, 2, 10, 1, 2, 1, 10, 2, 1, 10, 1, 1, 1, 1, 6, 2, 10, 10, 6, 6, 6, 6, 4, 6, 10, 10, 6, 6, 2, 10, 10, 6, 6, 1, 1, 6, 2, 10, 1, 6, 6, 10, 2, 2, 1, 6, 1, 2, 1, 2, 2, 1, 1, 2, 6, 2, 1, 2, 1, 1, 6, 2, 2, 1, 2, 2, 10, 6, 6, 10, 6, 6, 1, 6, 2, 2, 6, 6, 1, 10, 1, 6, 10, 6, 10, 2, 2, 1, 6, 1, 10, 6, 0, 2, 10, 1, 2, 10, 6, 10, 1, 1, 6, 1, 2, 6, 10, 6, 2, 10, 1, 10, 10, 10, 2, 2, 6, 10, 1, 10, 1, 1, 6, 2, 2, 6, 2, 2, 10, 10, 6, 1, 2, 6, 10, 1, 1, 10, 2, 6, 6, 1, 6, 1, 1, 1, 6, 10, 10, 10, 1, 2, 6, 1, 1, 1, 1, 1, 6, 2, 10, 6, 6, 10, 6, 6, 9, 2, 1, 10, 1, 6, 10, 1, 6, 1, 6, 1, 10, 6, 1, 1, 1, 6, 2, 2, 2, 1, 6, 2, 0, 1, 6, 1, 10, 10, 2, 1, 2, 2, 6, 1, 2, 10, 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10, 2, 6, 6, 2, 10, 1, 6, 2, 10, 2, 6, 6, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 10, 2, 6, 10, 6, 10, 1, 1, 9, 1, 6, 2, 10, 5, 2, 10, 1, 10, 6, 4, 10, 6, 1, 10, 10, 10, 2, 9, 10, 9, 1, 1, 1, 10, 3, 10, 10, 5, 2, 10, 1, 1, 10, 1, 1, 1, 6, 2, 10, 2, 2, 6, 6, 10, 10, 2, 10, 1, 2, 2, 6, 2, 6, 1, 2, 10, 2, 10, 1, 1, 10, 1, 10, 10, 6, 6, 10, 1, 6, 2, 10, 10, 1, 6, 2, 10, 10, 1, 10, 2, 2, 0, 10, 10, 2, 10, 2, 2, 1, 0, 6, 6, 10, 6, 10, 1, 1, 10, 0, 6, 2, 1, 1, 2, 10, 10, 6, 10, 2, 2, 1, 1, 2, 6, 6, 1, 6, 10, 2, 10, 9, 1, 2, 10, 2, 6, 1, 9, 2, 10, 1, 6, 10, 6, 6, 10, 2, 6, 2, 10, 6, 6, 6, 2, 6, 6, 2, 6, 1, 10, 2, 2, 6, 10, 1, 6, 2, 1, 10, 10, 10, 1, 2, 10, 10, 1, 10, 2, 10, 1, 1, 10, 6, 6, 10, 2, 10, 2, 1, 10, 10, 10, 6, 10, 6, 1, 10, 10, 6, 1, 1, 2, 2, 6, 1, 2, 2, 1, 2, 10, 2, 1, 1, 1, 10, 2, 10, 6, 10, 1, 6, 2, 2, 10, 10, 2, 6, 10, 2, 6, 6, 0, 2, 6, 2, 4, 10, 10, 2, 10, 1, 1, 2, 1, 2, 1, 10, 10, 2, 10, 9, 6, 6, 10, 6, 2, 1, 10, 1, 1, 10, 0, 6, 2, 10, 10, 1, 1, 1, 2, 10, 1, 2, 10, 2, 0, 6, 10, 10, 2, 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1, 10, 2, 10, 10, 10, 1, 2, 10, 6, 10, 10, 2, 1, 1, 6, 10, 2, 6, 1, 1, 1, 6, 9, 10, 2, 1, 10, 2, 2, 6, 1, 1, 10, 6, 6, 2, 1, 10, 1, 6, 1, 2, 2, 2, 2, 6, 10, 10, 1, 1, 10, 10, 6, 6, 6, 1, 1, 6, 1, 2, 2, 1, 1, 6, 1, 6, 2, 10, 2, 10, 6, 1, 6, 2, 1, 9, 2, 6, 10, 1, 6, 2, 10, 10, 1, 6, 2, 10, 2, 10, 2, 2, 1, 1, 2, 6, 2, 6, 6, 10, 10, 2, 2, 1, 1, 2, 10, 1, 6, 10, 1, 1, 10, 6, 2, 10, 6, 2, 10, 10, 10, 1, 6, 6, 6, 6, 1, 2, 10, 1, 1, 2, 1, 1, 6, 1, 1, 10, 6, 1, 1, 10, 1, 10, 10, 2, 2, 2, 6, 10, 10, 2, 6, 6, 1, 6, 10, 1, 2, 6, 1, 6, 1, 0, 10, 6, 6, 2, 10, 10, 10, 10, 6, 2, 2, 1, 6, 10, 2, 2, 2, 2, 2, 6, 1, 1, 2, 6, 1, 1, 1, 6, 2, 1, 6, 1, 1, 2, 6, 1, 6, 2, 1, 20, 10, 1, 1, 6, 1, 6, 10, 2, 10, 10, 4, 6, 1, 6, 9, 6, 2, 2, 10, 6, 1, 1, 2, 1, 10, 2, 1, 6, 2, 10, 6, 6, 6, 6, 10, 10, 1, 2, 10, 10, 1, 2, 2, 4, 5, 6, 6, 10, 1, 5, 10, 1, 2, 2, 6, 1, 1, 2, 2, 2, 1, 6, 10, 3, 6, 2, 10, 1, 2, 6, 10, 0, 1, 10, 2, 2, 10, 1, 1, 2, 2, 10, 1, 1, 2, 6, 6, 10, 2, 2, 10, 10, 2, 10, 10, 1, 2, 1, 2, 1, 6, 6, 1, 10, 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6, 6, 6, 4, 10, 10, 5, 10, 6, 6, 2, 6, 1, 10, 1, 1, 10, 0, 10, 10, 10, 2, 6, 1, 1, 10, 6, 6, 10, 10, 10, 10, 10, 2, 1, 1, 1, 10, 6, 10, 6, 2, 6, 2, 1, 1, 6, 2, 10, 2, 2, 2, 9, 6, 2, 1, 6, 1, 6, 1, 6, 10, 10, 2, 10, 1, 10, 1, 2, 2, 10, 2, 2, 10, 10, 1, 2, 2, 6, 1, 10, 10, 10, 6, 10, 6, 1, 1, 10, 1, 0, 10, 10, 10, 10, 10, 1, 10, 2, 10, 1, 2, 2, 10, 2, 0, 10, 2, 2, 1, 1, 6, 2, 10, 2, 5, 1, 2, 4, 6, 10, 6, 2, 2, 10, 2, 2, 2, 6, 10, 2, 10, 1, 2, 2, 2, 6, 2, 1, 6, 10, 6, 1, 2, 2, 2, 6, 10, 1, 10, 10, 6, 6, 6, 2, 1, 10, 10, 2, 10, 10, 2, 6, 2, 10, 1, 10, 10, 1, 10, 0, 6, 6, 2, 1, 1, 2, 6, 2, 10, 2, 1, 1, 2, 1, 4, 1, 1, 2, 1, 1, 1, 1, 6, 10, 6, 6, 6, 10, 1, 6, 6, 2, 1, 6, 6, 2, 10, 10, 10, 1, 9, 10, 6, 1, 10, 10, 10, 6, 1, 2, 10, 10, 6, 1, 1, 2, 10, 1, 2, 10, 1, 6, 1, 2, 1, 1, 10, 2, 2, 1, 2, 1, 10, 6, 2, 6, 2, 6, 10, 5, 10, 10, 1, 10, 6, 6, 6, 10, 2, 1, 2, 1, 6, 1, 2, 1, 6, 2, 1, 2, 6, 1, 1, 6, 6, 10, 6, 10, 2, 2, 6, 10, 2, 10, 1, 6, 6, 1, 4, 6, 6, 1, 2, 5, 6, 2, 2, 1, 1, 2, 6, 1, 10, 2, 2, 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2, 4, 2, 10, 6, 6, 6, 10, 2, 10, 6, 1, 6, 1, 2, 10, 2, 6, 2, 2, 10, 10, 2, 6, 2, 10, 2, 1, 1, 10, 2, 6, 2, 10, 1, 1, 1, 1, 10, 6, 1, 2, 10, 10, 2, 10, 1, 10, 10, 6, 6, 1, 2, 10, 6, 2, 1, 10, 10, 4, 1, 2, 1, 2, 1, 2, 10, 1, 2, 6, 4, 2, 10, 6, 0, 6, 10, 1, 2, 1, 2, 1, 1, 6, 2, 10, 2, 2, 1, 1, 2, 6, 10, 6, 6, 6, 2, 2, 6, 1, 6, 1, 10, 6, 10, 6, 10, 2, 6, 6, 6, 6, 9, 2, 6, 1, 1, 2, 10, 1, 6, 6, 2, 6, 10, 2, 10, 10, 6, 6, 10, 10, 6, 6, 2, 1, 1, 6, 2, 2, 6, 6, 2, 2, 1, 2, 6, 10, 1, 1, 1, 1, 6, 10, 2, 10, 6, 10, 10, 1, 2, 1, 2, 2, 2, 6, 1, 6, 10, 10, 6, 2, 10, 1, 6, 10, 6, 1, 1, 2, 6, 10, 0, 5, 2, 2, 1, 6, 6, 10, 10, 1, 2, 6, 1, 1, 2, 1, 6, 2, 2, 1, 6, 10, 1, 2, 6, 10, 1, 10, 6, 10, 6, 6, 6, 2, 10, 2, 1, 6, 2, 10, 1, 2, 1, 10, 10, 10, 9, 6, 1, 1, 2, 2, 10, 1, 2, 6, 2, 2, 2, 6, 4, 6, 10, 10, 1, 6, 6, 10, 10, 10, 1, 1, 10, 10, 10, 6, 6, 6, 2, 2, 2, 10, 5, 2, 6, 6, 1, 10, 1, 1, 10, 6, 10, 2, 2, 9, 1, 2, 10, 10, 2, 6, 6, 1, 1, 2, 6, 6, 10, 2, 6, 6, 1, 6, 10, 10, 1, 1, 1, 1, 0, 10, 10, 2, 2, 1, 1, 10, 6, 6, 2, 6, 2, 2, 2, 6, 2, 10, 6, 2, 1, 10, 10, 2, 10, 1, 1, 2, 1, 10, 10, 10, 10, 1, 4, 6, 60, 6, 6, 6, 2, 1, 1, 6, 10, 10, 1, 4, 10, 0, 2, 1, 6, 2, 10, 9, 9, 1, 6, 6, 2, 2, 2, 1, 2, 10, 10, 6, 6, 1, 6, 6, 10, 6, 8, 1, 10, 1, 6, 2, 10, 10, 1, 1, 1, 10, 10, 1, 6, 10, 2, 2, 2, 6, 6, 2, 6, 2, 1, 2, 6, 2, 2, 2, 2, 10, 2, 2, 1, 1, 2, 1, 10, 6, 0, 10, 2, 10, 10, 10, 1, 2, 6, 2, 1, 1, 2, 10, 10, 10, 6, 1, 2, 6, 6, 10, 10, 2, 10, 10, 10, 2, 2, 2, 2, 6, 6, 2, 1, 6, 1, 6, 1, 2, 6, 6, 2, 6, 6, 6, 10, 10, 1, 2, 1, 6, 0, 10, 6, 10, 6, 2, 2, 6, 2, 6, 6, 1, 1, 2, 6, 6, 2, 1, 2, 6, 6, 2, 2, 10, 1, 6, 6, 2, 10, 1, 10, 10, 10, 6, 2, 10, 10, 10, 1, 2, 10, 2, 6, 1, 2, 6, 10, 6, 2, 6, 6, 1, 2, 10, 10, 10, 10, 6, 1, 2, 1, 0, 2, 5, 1, 6, 1, 2, 2, 10, 6, 1, 6, 6, 2, 6, 2, 1, 10, 2, 6, 2, 10, 10, 1, 6, 10, 2, 1, 9, 2, 2, 2, 2, 10, 1, 2, 1, 6, 2, 2, 10, 10, 6, 10, 1, 10, 10, 6, 2, 6, 2, 6, 0, 9, 10, 10, 1, 2, 6, 6, 1, 10, 2, 1, 10, 2, 10, 1, 1, 6, 2, 4, 2, 0, 1, 6, 2, 0, 2, 2, 2, 1, 1, 6, 6, 6, 2, 1, 6, 6, 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6, 2, 6, 2, 10, 6, 9, 6, 1, 10, 6, 6, 2, 10, 2, 10, 1, 4, 2, 10, 2, 1, 1, 1, 10, 10, 2, 2, 1, 6, 2, 1, 2, 6, 6, 2, 1, 2, 6, 6, 2, 10, 10, 1, 1, 1, 6, 6, 6, 2, 6, 1, 10, 6, 2, 6, 10, 2, 10, 1, 1, 1, 6, 10, 2, 2, 1, 6, 2, 6, 6, 6, 1, 1, 1, 2, 10, 1, 5, 10, 10, 1, 6, 2, 10, 6, 2, 1, 10, 6, 10, 2, 2, 1, 10, 10, 2, 4, 2, 10, 2, 2, 10, 1, 6, 10, 1, 6, 2, 1, 6, 6, 1, 2, 1, 6, 6, 2, 6, 2, 10, 6, 6, 6, 2, 1, 1, 10, 1, 2, 1, 2, 2, 4, 6, 6, 10, 10, 1, 6, 6, 6, 6, 10, 1, 2, 6, 1, 1, 6, 10, 10, 2, 1, 10, 10, 2, 2, 10, 4, 1, 1, 6, 1, 10, 6, 1, 1, 1, 1, 2, 6, 6, 10, 2, 10, 6, 10, 5, 1, 6, 9, 1, 2, 6, 4, 6, 10, 6, 1, 2, 2, 6, 0, 1, 6, 10, 6, 10, 10, 6, 10, 2, 2, 2, 1, 1, 6, 2, 2, 2, 1, 10, 2, 1, 2, 2, 6, 5, 6, 6, 10, 10, 1, 2, 2, 6, 10, 1, 6, 1, 2, 2, 1, 2, 6, 1, 1, 9, 10, 6, 6, 6, 2, 2, 6, 1, 1, 2, 2, 10, 1, 1, 6, 2, 1, 2, 1, 1, 1, 2, 10, 1, 6, 10, 10, 6, 2, 10, 1, 10, 6, 10, 10, 6, 6, 1, 2, 1, 1, 2, 5, 6, 2, 2, 6, 1, 4, 2, 1, 1, 1, 6, 2, 1, 2, 2, 1, 10, 6, 6, 6, 10, 6, 1, 2, 2, 2, 2, 2, 6, 2, 10, 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10, 6, 10, 2, 1, 1, 10, 10, 2, 6, 4, 10, 2, 10, 1, 2, 2, 10, 5, 1, 1, 2, 1, 1, 10, 1, 1, 10, 6, 10, 1, 6, 10, 0, 10, 10, 10, 6, 6, 6, 1, 6, 0, 6, 10, 1, 6, 60, 4, 1, 1, 2, 10, 2, 10, 10, 2, 10, 2, 10, 1, 6, 2, 2, 0, 10, 2, 4, 2, 6, 1, 10, 2, 2, 2, 10, 1, 1, 10, 2, 6, 6, 10, 2, 1, 6, 1, 1, 10, 2, 6, 1, 2, 2, 10, 6, 6, 10, 2, 10, 6, 10, 6, 6, 0, 0, 6, 10, 6, 9, 5, 1, 10, 6, 1, 2, 1, 0, 2, 4, 1, 2, 6, 6, 6, 1, 6, 6, 2, 2, 10, 2, 1, 6, 6, 1, 10, 10, 2, 10, 10, 2, 10, 6, 2, 10, 2, 1, 1, 6, 2, 5, 1, 1, 6, 10, 1, 6, 6, 2, 2, 6, 10, 6, 2, 10, 1, 10, 6, 5, 10, 1, 2, 10, 1, 6, 6, 2, 2, 10, 1, 6, 2, 6, 1, 1, 2, 1, 4, 10, 1, 6, 6, 1, 10, 6, 1, 1, 1, 1, 10, 10, 2, 2, 10, 1, 2, 10, 2, 6, 6, 6, 10, 1, 6, 2, 1, 1, 10, 2, 10, 5, 10, 2, 6, 6, 2, 6, 10, 1, 1, 10, 4, 10, 2, 10, 10, 6, 2, 6, 8, 1, 10, 6, 10, 2, 2, 1, 9, 1, 2, 1, 10, 6, 2, 6, 10, 1, 6, 2, 1, 10, 1, 6, 2, 10, 10, 2, 10, 2, 1, 6, 10, 10, 1, 2, 10, 2, 2, 1, 2, 6, 1, 6, 6, 2, 10, 1, 1, 1, 2, 2, 1, 6, 2, 2, 1, 6, 6, 6, 6, 1, 10, 2, 10, 2, 6, 6, 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2, 10, 2, 1, 1, 9, 10, 1, 6, 1, 2, 6, 10, 2, 2, 2, 9, 6, 1, 6, 10, 10, 1, 10, 6, 2, 6, 6, 1, 2, 1, 10, 10, 2, 1, 6, 1, 9, 6, 2, 2, 10, 10, 5, 2, 6, 1, 10, 10, 2, 10, 6, 2, 10, 10, 6, 6, 2, 6, 10, 6, 1, 2, 1, 4, 6, 2, 6, 1, 1, 6, 6, 1, 2, 2, 2, 6, 1, 1, 6, 6, 2, 1, 10, 1, 2, 6, 10, 2, 6, 6, 10, 1, 6, 10, 6, 1, 2, 10, 1, 1, 2, 1, 1, 1, 1, 2, 6, 2, 10, 10, 10, 1, 2, 2, 1, 1, 2, 6, 2, 10, 2, 10, 10, 1, 2, 6, 1, 1, 1, 1, 1, 6, 2, 6, 1, 10, 10, 2, 2, 2, 2, 10, 2, 6, 6, 6, 2, 10, 5, 2, 1, 2, 2, 2, 1, 1, 1, 6, 6, 1, 6, 10, 10, 2, 10, 6, 10, 2, 2, 6, 2, 10, 10, 2, 1, 10, 10, 6, 10, 2, 6, 2, 6, 1, 10, 10, 6, 0, 1, 10, 2, 4, 6, 1, 10, 2, 1, 10, 10, 10, 2, 2, 6, 6, 1, 9, 2, 6, 2, 0, 10, 10, 6, 10, 10, 2, 10, 10, 10, 1, 2, 2, 1, 1, 6, 2, 6, 6, 1, 5, 1, 6, 2, 2, 2, 1, 1, 10, 6, 6, 2, 10, 6, 1, 2, 10, 6, 6, 10, 6, 6, 6, 2, 1, 1, 6, 6, 6, 1, 6, 2, 10, 1, 10, 10, 1, 1, 10, 2, 2, 9, 6, 1, 1, 1, 6, 1, 10, 1, 2, 6, 6, 1, 2, 5, 10, 2, 1, 2, 4, 10, 6, 10, 6, 10, 1, 6, 2, 2, 1, 1, 10, 1, 1, 1, 1, 1, 6, 10, 2, 2, 2, 10, 2, 1, 6, 10, 6, 2, 1, 6, 6, 5, 1, 6, 1, 10, 10, 2, 10, 10, 10, 6, 6, 10, 2, 1, 10, 2, 6, 1, 2, 2, 2, 10, 10, 10, 2, 10, 1, 1, 10, 10, 1, 10, 6, 6, 1, 6, 1, 1, 6, 1, 6, 2, 2, 2, 6, 1, 6, 6, 1, 10, 2, 6, 1, 10, 6, 2, 0, 2, 6, 6, 6, 1, 1, 2, 10, 9, 1, 2, 10, 10, 10, 6, 2, 10, 6, 10, 6, 10, 10, 10, 2, 10, 1, 6, 9, 1, 10, 2, 10, 2, 6, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 6, 6, 6, 1, 10, 6, 1, 1, 6, 1, 1, 10, 6, 10, 10, 1, 2, 10, 2, 10, 6, 1, 2, 1, 10, 2, 2, 6, 1, 1, 6, 1, 10, 6, 1, 6, 2, 1, 10, 2, 2, 6, 6, 6, 1, 1, 1, 1, 1, 6, 1, 10, 1, 6, 10, 5, 1, 10, 2, 6, 10, 10, 6, 10, 6, 10, 1, 2, 2, 1, 4, 10, 10, 1, 9, 6, 2, 2, 1, 1, 10, 1, 6, 10, 1, 2, 10, 1, 6, 1, 6, 10, 10, 1, 2, 1, 2, 6, 2, 2, 6, 1, 2, 6, 2, 6, 2, 10, 10, 6, 10, 10, 1, 1, 10, 10, 6, 2, 6, 1, 10, 10, 10, 1, 2, 1, 2, 6, 1, 6, 2, 10, 6, 6, 1, 1, 1, 2, 1, 2, 6, 2, 1, 10, 1, 6, 2, 2, 6, 1, 2, 1, 10, 6, 1, 10, 6, 2, 6, 10, 1, 1, 10, 10, 10, 10, 1, 10, 2, 2, 10, 1, 2, 10, 1, 6, 6, 2, 10, 1, 6, 1, 2, 9, 2, 2, 6, 9, 6, 10, 1, 10, 1, 6, 2, 10, 2, 10, 10, 10, 2, 6, 1, 10, 6, 2, 6, 10, 6, 10, 10, 1, 6, 1, 2, 6, 2, 6, 2, 10, 10, 2, 6, 10, 4, 6, 6, 2, 1, 6, 10, 2, 1, 1, 6, 6, 6, 1, 10, 6, 6, 10, 2, 6, 10, 2, 6, 1, 10, 10, 2, 2, 6, 1, 2, 2, 6, 6, 10, 10, 1, 6, 10, 2, 6, 2, 2, 10, 6, 10, 10, 1, 6, 10, 1, 10, 2, 1, 1, 1, 2, 2, 1, 6, 1, 6, 2, 2, 1, 6, 10, 1, 10, 6, 10, 1, 1, 6, 10, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 10, 10, 10, 10, 2, 6, 10, 10, 2, 1, 2, 6, 10, 2, 1, 6, 10, 1, 6, 1, 6, 6, 1, 2, 10, 2, 6, 6, 5, 10, 2, 6, 2, 6, 2, 1, 1, 6, 6, 6, 10, 10, 10, 10, 10, 1, 1, 10, 1, 1, 6, 1, 2, 2, 1, 10, 1, 6, 10, 2, 2, 2, 1, 10, 6, 6, 1, 6, 10, 2, 10, 1, 2, 6, 10, 2, 1, 2, 1, 1, 1, 1, 5, 1, 2, 1, 50, 6, 4, 2, 10, 10, 10, 2, 6, 6, 1, 2, 1, 6, 0, 10, 10, 6, 2, 1, 10, 6, 6, 1, 2, 6, 6, 10, 10, 6, 6, 6, 9, 2, 1, 1, 6, 6, 1, 0, 10, 10, 1, 0, 10, 10, 1, 10, 6, 10, 1, 1, 6, 10, 6, 1, 2, 1, 9, 2, 2, 6, 10, 6, 6, 6, 2, 2, 2, 6, 10, 2, 10, 1, 1, 1, 6, 6, 10, 10, 10, 2, 1, 1, 1, 1, 2, 2, 6, 1, 1, 10, 2, 1, 2, 6, 10, 1, 10, 2, 2, 2, 6, 6, 10, 2, 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10, 10, 10, 1, 6, 1, 6, 6, 6, 2, 2, 2, 6, 1, 1, 2, 1, 10, 2, 10, 1, 2, 10, 1, 1, 2, 1, 2, 2, 10, 10, 6, 10, 1, 10, 0, 2, 0, 6, 9, 2, 6, 2, 1, 2, 2, 10, 1, 1, 6, 10, 6, 1, 1, 2, 6, 2, 10, 1, 1, 1, 2, 10, 1, 10, 1, 10, 10, 6, 6, 1, 6, 6, 6, 10, 6, 6, 10, 6, 1, 6, 1, 2, 1, 6, 0, 10, 10, 1, 2, 2, 2, 1, 10, 6, 2, 2, 6, 1, 2, 6, 2, 10, 2, 10, 2, 6, 6, 1, 10, 6, 10, 2, 2, 6, 2, 6, 2, 10, 1, 6, 6, 10, 1, 1, 10, 2, 10, 2, 1, 10, 1, 2, 2, 6, 1, 6, 2, 2, 1, 10, 6, 6, 6, 10, 2, 6, 6, 1, 10, 1, 2, 10, 1, 10, 10, 10, 6, 10, 10, 1, 10, 1, 2, 2, 1, 1, 6, 10, 2, 6, 2, 10, 10, 1, 10, 1, 10, 2, 6, 9, 10, 6, 6, 1, 2, 6, 1, 10, 0, 10, 2, 6, 2, 1, 10, 2, 1, 6, 2, 0, 1, 2, 2, 9, 1, 2, 1, 2, 2, 2, 2, 10, 10, 10, 10, 2, 2, 2, 6, 2, 1, 10, 1, 10, 0, 10, 6, 10, 1, 1, 10, 2, 6, 2, 2, 1, 1, 10, 10, 10, 10, 1, 2, 1, 10, 2, 2, 2, 10, 1, 9, 6, 10, 10, 6, 2, 2, 6, 1, 6, 6, 10, 1, 6, 2, 6, 6, 1, 10, 1, 1, 2, 10, 2, 6, 1, 6, 1, 6, 6, 1, 1, 10, 2, 10, 6, 10, 1, 1, 1, 6, 6, 6, 10, 10, 6, 10, 1, 10, 10, 10, 1, 1, 10, 10, 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1, 10, 6, 2, 10, 2, 2, 10, 2, 10, 6, 2, 1, 1, 10, 10, 2, 10, 6, 1, 1, 1, 1, 10, 2, 6, 6, 5, 6, 10, 2, 2, 10, 1, 1, 2, 1, 1, 6, 1, 6, 10, 1, 1, 1, 2, 10, 1, 1, 6, 1, 2, 6, 2, 10, 0, 6, 10, 9, 1, 10, 2, 2, 6, 2, 1, 6, 1, 10, 6, 1, 6, 10, 1, 1, 1, 10, 6, 10, 6, 1, 6, 1, 2, 2, 2, 10, 10, 10, 1, 6, 2, 10, 10, 2, 2, 6, 10, 10, 1, 2, 10, 10, 2, 6, 6, 2, 6, 10, 10, 10, 10, 1, 2, 2, 2, 10, 6, 1, 10, 1, 10, 6, 10, 2, 2, 1, 1, 2, 1, 9, 1, 10, 1, 1, 6, 10, 1, 6, 0, 10, 2, 2, 2, 10, 10, 2, 10, 1, 6, 1, 2, 1, 2, 1, 1, 9, 10, 2, 1, 6, 6, 6, 6, 6, 1, 10, 2, 1, 6, 6, 2, 1, 1, 6, 2, 1, 10, 1, 1, 6, 1, 2, 6, 6, 60, 10, 6, 10, 2, 1, 6, 2, 2, 6, 2, 10, 1, 6, 2, 10, 6, 1, 10, 1, 2, 2, 6, 1, 2, 10, 6, 1, 10, 2, 10, 1, 10, 10, 2, 10, 10, 1, 10, 6, 4, 1, 2, 10, 2, 1, 6, 2, 6, 6, 2, 10, 1, 1, 10, 2, 0, 1, 1, 6, 6, 1, 6, 10, 6, 6, 10, 2, 2, 6, 6, 2, 1, 1, 4, 10, 1, 6, 2, 6, 2, 1, 2, 10, 6, 10, 1, 2, 2, 10, 2, 6, 2, 1, 6, 1, 6, 2, 2, 10, 10, 10, 6, 10, 6, 2, 2, 10, 1, 6, 1, 10, 2, 6, 1, 1, 10, 6, 1, 1, 6, 10, 1, 6, 10, 1, 1, 6, 10, 2, 6, 1, 6, 2, 6, 2, 1, 2, 1, 10, 1, 10, 2, 1, 1, 6, 1, 6, 2, 1, 1, 6, 1, 6, 6, 1, 1, 6, 6, 2, 10, 1, 2, 2, 10, 1, 6, 2, 10, 10, 6, 10, 9, 2, 6, 1, 6, 10, 2, 2, 2, 6, 10, 10, 10, 6, 6, 6, 9, 1, 6, 10, 1, 2, 2, 1, 2, 1, 6, 10, 6, 6, 6, 6, 10, 2, 4, 2, 6, 6, 10, 2, 10, 10, 10, 1, 2, 1, 6, 2, 1, 6, 10, 2, 1, 1, 10, 2, 2, 2, 10, 1, 2, 6, 10, 10, 1, 2, 1, 2, 5, 10, 1, 1, 2, 10, 10, 6, 6, 10, 1, 1, 10, 10, 6, 2, 6, 10, 2, 2, 10, 10, 6, 2, 6, 2, 1, 6, 2, 2, 1, 10, 6, 2, 10, 2, 6, 6, 6, 2, 1, 1, 1, 6, 1, 1, 2, 10, 1, 6, 0, 10, 10, 1, 10, 6, 10, 6, 2, 2, 2, 2, 2, 10, 2, 10, 1, 10, 2, 0, 2, 10, 10, 10, 6, 10, 1, 1, 1, 10, 1, 1, 2, 10, 10, 1, 10, 2, 1, 6, 2, 1, 1, 2, 10, 2, 6, 10, 6, 2, 2, 10, 1, 1, 10, 1, 2, 10, 6, 1, 1, 6, 10, 2, 10, 10, 1, 2, 10, 6, 1, 10, 1, 2, 6, 10, 6, 6, 0, 6, 6, 2, 1, 10, 6, 1, 2, 2, 2, 1, 6, 1, 10, 1, 6, 10, 1, 6, 1, 10, 10, 2, 2, 2, 10, 6, 2, 2, 1, 2, 6, 1, 10, 6, 1, 2, 1, 10, 5, 10, 2, 6, 10, 6, 6, 10, 10, 4, 1, 1, 2, 10, 2, 1, 0, 10, 2, 10, 10, 1, 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10, 10, 1, 6, 6, 1, 0, 2, 2, 2, 6, 6, 6, 1, 10, 6, 6, 10, 10, 6, 1, 6, 10, 1, 1, 2, 6, 2, 1, 2, 1, 2, 2, 10, 1, 1, 10, 2, 10, 10, 10, 6, 10, 1, 1, 6, 1, 2, 6, 2, 2, 1, 2, 6, 1, 6, 10, 10, 10, 2, 10, 10, 1, 6, 1, 2, 6, 2, 1, 10, 6, 10, 6, 6, 10, 1, 2, 6, 1, 1, 10, 1, 10, 2, 2, 10, 2, 1, 2, 1, 0, 6, 2, 10, 1, 6, 2, 2, 6, 5, 10, 6, 2, 2, 1, 10, 1, 1, 10, 1, 10, 2, 2, 6, 10, 0, 1, 10, 2, 6, 10, 9, 6, 6, 1, 1, 2, 2, 10, 9, 1, 10, 1, 1, 2, 6, 6, 10, 2, 10, 1, 6, 10, 1, 6, 10, 6, 10, 6, 2, 6, 6, 10, 10, 2, 1, 6, 6, 2, 6, 2, 6, 2, 2, 2, 10, 10, 1, 2, 1, 6, 1, 1, 1, 10, 10, 1, 1, 6, 1, 2, 6, 10, 1, 6, 6, 10, 4, 2, 2, 1, 10, 5, 10, 2, 10, 1, 1, 6, 1, 1, 10, 1, 6, 9, 10, 10, 1, 0, 1, 6, 1, 2, 2, 6, 2, 10, 1, 0, 6, 1, 6, 1, 10, 1, 6, 6, 6, 10, 6, 10, 10, 1, 10, 1, 10, 10, 6, 6, 1, 1, 1, 6, 1, 6, 1, 10, 1, 10, 1, 6, 9, 2, 6, 1, 10, 6, 1, 2, 2, 10, 1, 6, 10, 1, 5, 10, 1, 2, 1, 1, 2, 2, 6, 10, 10, 2, 10, 10, 1, 2, 10, 10, 2, 1, 10, 4, 10, 1, 10, 10, 6, 2, 1, 0, 1, 5, 10, 10, 2, 6, 10, 1, 2, 1, 2, 6, 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6, 1, 6, 1, 6, 6, 1, 2, 1, 2, 1, 1, 2, 10, 6, 10, 6, 2, 10, 6, 2, 10, 6, 2, 6, 10, 10, 2, 10, 10, 6, 2, 6, 10, 6, 1, 1, 6, 1, 6, 10, 10, 10, 1, 1, 6, 1, 10, 1, 2, 6, 2, 2, 1, 1, 1, 6, 1, 5, 6, 10, 10, 6, 60, 2, 2, 10, 6, 10, 1, 2, 10, 1, 2, 6, 2, 6, 2, 1, 1, 6, 2, 10, 6, 2, 6, 10, 6, 1, 10, 2, 10, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 6, 10, 10, 2, 1, 1, 10, 1, 2, 6, 2, 6, 10, 6, 10, 1, 2, 6, 6, 6, 1, 1, 1, 2, 6, 1, 2, 6, 6, 1, 1, 1, 6, 2, 2, 1, 2, 1, 10, 2, 1, 1, 2, 6, 2, 10, 10, 1, 10, 10, 6, 1, 2, 10, 1, 2, 2, 10, 10, 2, 6, 10, 1, 10, 1, 2, 10, 6, 2, 6, 1, 1, 2, 1, 6, 6, 6, 2, 10, 1, 6, 5, 10, 6, 2, 1, 2, 2, 6, 1, 2, 9, 4, 10, 6, 6, 2, 10, 10, 2, 1, 1, 10, 6, 1, 2, 6, 10, 2, 1, 1, 6, 1, 1, 10, 10, 6, 2, 10, 1, 10, 2, 2, 6, 1, 2, 10, 2, 6, 6, 1, 6, 10, 6, 10, 1, 1, 6, 6, 1, 10, 10, 6, 6, 2, 6, 6, 6, 2, 1, 2, 10, 1, 1, 2, 2, 6, 6, 10, 10, 1, 6, 6, 2, 2, 1, 1, 1, 1, 10, 6, 2, 10, 1, 1, 10, 10, 1, 2, 10, 2, 2, 6, 2, 10, 10, 1, 2, 6, 10, 10, 2, 10, 2, 2, 10, 6, 2, 9, 10, 2, 10, 2, 6, 2, 10, 2, 1, 1, 2, 1, 2, 2, 2, 2, 6, 2, 1, 10, 2, 2, 6, 2, 1, 2, 6, 2, 1, 10, 6, 10, 10, 2, 0, 1, 1, 1, 6, 6, 6, 9, 5, 2, 10, 1, 6, 6, 6, 2, 2, 5, 1, 1, 2, 10, 10, 2, 1, 10, 2, 10, 2, 9, 1, 2, 6, 2, 1, 2, 2, 10, 6, 10, 2, 6, 6, 1, 2, 1, 2, 6, 10, 1, 2, 1, 6, 10, 1, 6, 4, 6, 10, 1, 10, 6, 6, 1, 2, 1, 1, 1, 2, 10, 1, 10, 1, 10, 4, 1, 6, 1, 2, 1, 10, 6, 1, 2, 2, 9, 10, 6, 6, 9, 0, 1, 6, 6, 2, 6, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 1, 1, 6, 6, 1, 6, 5, 1, 6, 0, 10, 10, 2, 10, 1, 6, 1, 6, 2, 2, 6, 1, 6, 10, 1, 1, 10, 2, 10, 6, 1, 1, 1, 2, 1, 6, 1, 2, 10, 1, 2, 10, 2, 1, 6, 1, 1, 10, 1, 1, 10, 6, 10, 1, 1, 2, 6, 2, 1, 2, 1, 2, 10, 6, 1, 2, 10, 6, 1, 2, 2, 2, 1, 1, 2, 6, 1, 10, 1, 2, 1, 2, 6, 6, 10, 10, 10, 2, 2, 6, 1, 6, 2, 1, 6, 2, 6, 10, 10, 6, 2, 2, 10, 1, 1, 2, 2, 6, 6, 4, 1, 2, 6, 10, 8, 1, 10, 10, 6, 1, 2, 2, 1, 10, 6, 2, 10, 2, 2, 10, 1, 10, 2, 6, 6, 10, 1, 1, 1, 2, 1, 6, 6, 10, 1, 10, 1, 6, 10, 10, 6, 6, 1, 6, 6, 10, 2, 9, 2, 6, 2, 6, 6, 1, 1, 6, 2, 10, 2, 10, 0, 1, 6, 2, 4, 2, 1, 1, 2, 2, 2, 2, 1, 6, 10, 1, 10, 1, 6, 2, 2, 6, 1, 6, 6, 2, 10, 10, 1, 2, 10, 6, 6, 2, 2, 1, 1, 2, 6, 10, 6, 2, 6, 1, 10, 6, 9, 10, 1, 6, 6, 1, 2, 2, 4, 1, 6, 1, 10, 1, 6, 6, 10, 2, 6, 6, 10, 6, 6, 2, 10, 1, 10, 1, 1, 2, 2, 6, 4, 2, 1, 2, 6, 2, 2, 10, 10, 2, 10, 5, 2, 1, 1, 10, 2, 2, 1, 6, 2, 10, 1, 10, 2, 10, 10, 6, 2, 2, 10, 10, 10, 6, 2, 10, 10, 2, 6, 2, 2, 1, 6, 2, 10, 2, 10, 1, 6, 1, 5, 10, 10, 6, 6, 6, 1, 1, 1, 2, 2, 2, 2, 2, 5, 10, 10, 10, 6, 10, 10, 6, 2, 6, 6, 10, 1, 2, 10, 10, 10, 10, 6, 10, 2, 2, 6, 10, 1, 6, 10, 10, 6, 6, 10, 2, 10, 10, 10, 6, 10, 1, 1, 1, 2, 10, 4, 6, 6, 6, 1, 10, 1, 2, 1, 1, 6, 6, 2, 10, 10, 10, 10, 1, 10, 2, 10, 6, 10, 1, 1, 1, 2, 2, 10, 10, 6, 2, 1, 2, 2, 1, 10, 2, 1, 6, 1, 6, 10, 2, 2, 1, 10, 2, 1, 6, 1, 6, 6, 2, 6, 6, 1, 4, 10, 6, 2, 6, 2, 10, 6, 10, 6, 2, 2, 6, 10, 1, 10, 4, 1, 9, 6, 6, 2, 1, 10, 2, 2, 10, 1, 6, 4, 1, 2, 1, 1, 2, 6, 2, 2, 10, 6, 6, 2, 10, 1, 1, 1, 6, 2, 1, 1, 2, 2, 2, 1, 6, 1, 1, 6, 10, 2, 10, 2, 2, 6, 10, 10, 1, 1, 1, 2, 1, 2, 6, 10, 6, 2, 6, 10, 2, 6, 5, 2, 1, 2, 2, 10, 10, 2, 2, 2, 2, 4, 1, 6, 2, 6, 2, 6, 6, 1, 10, 1, 2, 10, 1, 10, 4, 2, 2, 6, 6, 1, 6, 6, 2, 10, 2, 1, 1, 2, 6, 1, 2, 6, 2, 6, 1, 1, 10, 1, 10, 1, 10, 1, 6, 2, 2, 1, 10, 1, 2, 1, 1, 10, 6, 2, 1, 10, 2, 10, 1, 6, 1, 10, 10, 1, 1, 2, 10, 2, 6, 2, 1, 10, 2, 2, 6, 10, 2, 6, 10, 1, 1, 10, 2, 10, 10, 10, 1, 2, 10, 10, 2, 9, 1, 6, 2, 2, 10, 6, 2, 6, 10, 6, 6, 2, 10, 1, 10, 6, 6, 6, 2, 10, 10, 2, 5, 6, 1, 1, 2, 10, 10, 2, 6, 2, 2, 1, 10, 2, 1, 10, 6, 10, 6, 6, 6, 2, 1, 1, 10, 1, 6, 1, 1, 10, 2, 6, 10, 1, 2, 6, 4, 10, 2, 2, 10, 6, 10, 10, 2, 10, 1, 6, 2, 1, 10, 6, 2, 1, 1, 1, 5, 10, 6, 10, 1, 2, 10, 6, 10, 1, 2, 1, 2, 10, 6, 6, 6, 10, 2, 10, 10, 2, 5, 2, 6, 6, 6, 2, 10, 6, 2, 10, 6, 1, 6, 2, 10, 2, 2, 6, 6, 6, 6, 2, 6, 1, 1, 2, 10, 1, 1, 10, 10, 1, 6, 6, 1, 2, 10, 1, 10, 1, 10, 2, 1, 1, 10, 6, 6, 6, 6, 6, 1, 5, 6, 6, 6, 2, 2, 1, 10, 6, 6, 10, 10, 6, 2, 2, 1, 10, 1, 10, 10, 6, 6, 2, 2, 10, 6, 1, 6, 10, 10, 10, 6, 10, 1, 6, 2, 10, 1, 1, 1, 2, 6, 2, 2, 1, 2, 6, 2, 6, 2, 2, 10, 10, 2, 6, 2, 6, 6, 10, 1, 1, 10, 6, 2, 1, 10, 2, 2, 6, 2, 2, 1, 6, 10, 6, 2, 10, 9, 2, 2, 1, 1, 10, 6, 2, 1, 10, 1, 1, 2, 6, 1, 6, 6, 2, 10, 1, 9, 2, 2, 2, 6, 6, 6, 10, 1, 2, 1, 6, 6, 2, 2, 6, 6, 2, 2, 10, 2, 2, 1, 10, 2, 2, 10, 10, 1, 1, 2, 5, 6, 10, 2, 1, 6, 10, 1, 10, 9, 1, 2, 1, 1, 10, 2, 10, 6, 2, 10, 1, 10, 1, 6, 2, 10, 1, 6, 5, 4, 10, 5, 1, 6, 6, 6, 2, 2, 10, 6, 10, 10, 2, 10, 6, 1, 2, 1, 2, 2, 6, 2, 2, 1, 10, 1, 1, 6, 6, 10, 6, 10, 2, 2, 6, 6, 10, 6, 10, 10, 10, 10, 10, 6, 2, 10, 6, 2, 10, 6, 2, 2, 2, 2, 1, 6, 6, 10, 2, 10, 10, 1, 1, 1, 10, 2, 2, 10, 1, 1, 6, 6, 3, 1, 6, 10, 6, 2, 2, 2, 6, 10, 10, 2, 6, 6, 10, 6, 10, 2, 2, 1, 10, 6, 6, 2, 6, 2, 2, 6, 10, 6, 6, 2, 10, 10, 6, 2, 10, 6, 1, 6, 10, 9, 6, 10, 2, 1, 1, 1, 2, 1, 6, 10, 10, 10, 10, 6, 6, 10, 1, 6, 0, 6, 4, 10, 6, 2, 10, 10, 1, 0, 1, 1, 2, 6, 2, 1, 10, 10, 10, 1, 6, 1, 6, 2, 6, 1, 10, 1, 6, 2, 1, 10, 2, 4, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 1, 10, 1, 1, 10, 2, 10, 1, 1, 1, 10, 6, 10, 1, 2, 2, 1, 1, 10, 5, 1, 10, 6, 10, 6, 6, 1, 1, 10, 6, 1, 1, 10, 6, 1, 1, 6, 6, 2, 10, 6, 10, 10, 10, 10, 6, 6, 6, 5, 2, 1, 1, 6, 10, 2, 2, 10, 6, 2, 2, 0, 6, 1, 10, 1, 10, 2, 2, 10, 1, 10, 5, 10, 1, 6, 1, 1, 10, 1, 10, 1, 2, 1, 6, 6, 10, 6, 6, 2, 1, 6, 10, 1, 1, 9, 10, 2, 2, 2, 2, 2, 1, 10, 2, 1, 2, 10, 10, 1, 10, 1, 2, 10, 2, 10, 2, 2, 1, 6, 2, 6, 2, 2, 6, 2, 6, 2, 2, 1, 1, 2, 1, 0, 10, 2, 6, 10, 6, 10, 2, 2, 6, 1, 2, 10, 10, 6, 10, 6, 5, 6, 6, 1, 10, 10, 2, 2, 1, 2, 10, 6, 10, 2, 6, 2, 10, 9, 2, 10, 10, 2, 1, 10, 1, 6, 6, 2, 2, 10, 6, 1, 2, 2, 6, 1, 6, 2, 2, 2, 1, 10, 6, 10, 2, 6, 2, 10, 1, 2, 10, 2, 6, 1, 2, 6, 10, 6, 0, 2, 10, 10, 10, 1, 1, 1, 6, 10, 6, 6, 10, 1, 2, 10, 2, 2, 6, 1, 2, 1, 10, 1, 10, 2, 2, 2, 2, 0, 10, 2, 1, 2, 10, 6, 6, 10, 10, 10, 6, 2, 6, 6, 6, 1, 2, 2, 5, 10, 10, 1, 10, 2, 1, 1, 2, 6, 10, 10, 5, 1, 6, 6, 10, 1, 2, 10, 6, 10, 10, 1, 6, 6, 2, 2, 1, 10, 1, 10, 2, 1, 10, 1, 10, 10, 6, 2, 2, 6, 1, 6, 2, 2, 2, 2, 2, 2, 2, 10, 10, 1, 10, 1, 1, 6, 1, 6, 2, 2, 6, 10, 2, 10, 1, 1, 10, 2, 2, 10, 6, 1, 9, 1, 2, 10, 6, 2, 6, 6, 6, 5, 1, 6, 2, 2, 1, 1, 5, 2, 10, 2, 10, 6, 1, 2, 6, 6, 6, 1, 2, 6, 10, 6, 1, 10, 10, 10, 6, 6, 1, 10, 2, 10, 6, 10, 1, 10, 1, 6, 10, 6, 6, 10, 6, 10, 6, 2, 10, 2, 10, 10, 1, 10, 2, 2, 10, 1, 10, 6, 6, 10, 10, 2, 0, 6, 2, 2, 10, 10, 1, 1, 1, 6, 10, 10, 2, 10, 6, 2, 6, 2, 6, 6, 2, 6, 10, 6, 2, 1, 10, 10, 10, 1, 1, 1, 6, 1, 6, 6, 10, 2, 10, 6, 1, 6, 6, 2, 10, 2, 10, 1, 5, 10, 6, 1, 6, 10, 4, 1, 1, 0, 2, 6, 10, 10, 1, 1, 1, 6, 6, 2, 10, 6, 2, 1, 10, 6, 6, 1, 2, 10, 6, 10, 6, 10, 10, 6, 5, 1, 1, 1, 1, 6, 2, 2, 6, 1, 10, 6, 6, 10, 6, 10, 1, 10, 10, 2, 2, 10, 9, 10, 10, 6, 10, 2, 1, 10, 1, 1, 2, 1, 1, 10, 10, 6, 6, 10, 2, 4, 6, 1, 1, 10, 6, 6, 6, 10, 2, 10, 10, 6, 1, 2, 1, 1, 2, 1, 2, 2, 6, 1, 6, 6, 1, 2, 10, 1, 1, 6, 6, 1, 1, 10, 1, 1, 10, 1, 2, 1, 10, 6, 1, 2, 1, 2, 6, 2, 6, 2, 1, 1, 1, 2, 10, 10, 4, 10, 10, 10, 6, 0, 10, 6, 2, 10, 1, 2, 5, 10, 1, 10, 1, 6, 10, 1, 2, 6, 2, 10, 6, 10, 2, 1, 10, 6, 5, 2, 6, 6, 10, 1, 1, 1, 2, 2, 1, 6, 1, 10, 6, 2, 6, 6, 6, 2, 1, 10, 2, 1, 1, 6, 1, 10, 1, 10, 10, 9, 2, 10, 1, 6, 6, 10, 2, 2, 10, 10, 1, 2, 2, 2, 1, 6, 2, 10, 2, 6, 6, 10, 1, 2, 10, 2, 1, 2, 10, 1, 1, 1, 6, 1, 2, 1, 1, 0, 1, 1, 2, 6, 10, 10, 1, 2, 10, 1, 1, 1, 3, 2, 2, 4, 2, 10, 1, 10, 10, 2, 1, 2, 1, 10, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 10, 10, 6, 10, 1, 2, 6, 6, 10, 2, 6, 10, 1, 0, 10, 10, 1, 10, 2, 2, 0, 6, 10, 10, 1, 6, 1, 1, 10, 10, 6, 6, 1, 6, 10, 6, 1, 6, 10, 6, 10, 1, 6, 1, 6, 1, 1, 6, 2, 10, 2, 6, 10, 1, 10, 2, 10, 10, 10, 1, 6, 6, 4, 2, 10, 6, 6, 2, 10, 6, 1, 1, 10, 1, 2, 1, 0, 10, 10, 1, 1, 10, 10, 1, 10, 1, 6, 2, 2, 10, 10, 6, 0, 6, 6, 10, 6, 2, 2, 2, 6, 1, 1, 10, 2, 6, 10, 10, 6, 1, 2, 1, 6, 10, 2, 6, 10, 10, 1, 6, 10, 2, 6, 2, 10, 1, 6, 2, 1, 10, 1, 6, 2, 1, 10, 9, 1, 1, 10, 2, 10, 10, 2, 1, 6, 6, 2, 1, 2, 10, 6, 1, 1, 10, 10, 1, 10, 6, 6, 4, 2, 10, 2, 2, 10, 10, 1, 2, 0, 1, 6, 10, 6, 10, 2, 6, 2, 2, 1, 1, 1, 1, 6, 10, 1, 2, 2, 1, 10, 10, 10, 6, 10, 1, 2, 2, 6, 2, 10, 2, 2, 10, 2, 6, 10, 4, 2, 1, 2, 10, 6, 2, 2, 10, 1, 10, 10, 9, 10, 2, 6, 2, 1, 2, 1, 6, 6, 6, 1, 10, 6, 10, 6, 10, 10, 2, 1, 9, 10, 10, 10, 6, 2, 10, 1, 10, 10, 10, 6, 6, 2, 2, 2, 10, 10, 1, 6, 2, 2, 10, 2, 1, 10, 1, 1, 1, 2, 1, 2, 1, 2, 6, 1, 6, 6, 10, 1, 2, 1, 10, 2, 6, 10, 1, 2, 1, 10, 10, 6, 6, 1, 6, 10, 2, 2, 10, 6, 1, 2, 10, 6, 6, 6, 1, 1, 10, 6, 1, 10, 2, 1, 1, 2, 6, 6, 1, 10, 6, 2, 2, 1, 1, 6, 6, 1, 1, 1, 1, 10, 1, 1, 1, 6, 2, 2, 10, 2, 6, 1, 1, 2, 2, 10, 10, 6, 10, 2, 1, 10, 2, 10, 10, 2, 10, 10, 10, 1, 6, 6, 6, 2, 6, 6, 2, 6, 6, 6, 2, 6, 2, 1, 6, 10, 1, 10, 1, 10, 2, 2, 6, 6, 1, 6, 2, 6, 6, 2, 2, 6, 10, 1, 1, 1, 10, 10, 6, 10, 2, 10, 2, 10, 2, 1, 2, 1, 1, 2, 10, 10, 10, 10, 10, 10, 2, 6, 2, 2, 10, 10, 2, 10, 2, 6, 10, 6, 6, 1, 10, 2, 6, 2, 6, 1, 10, 10, 6, 2, 8, 2, 6, 2, 1, 2, 2, 6, 6, 1, 6, 6, 2, 6, 2, 6, 1, 6, 2, 2, 10, 10, 2, 6, 2, 1, 2, 10, 1, 10, 10, 6, 10, 10, 0, 6, 1, 1, 2, 1, 2, 2, 40, 6, 10, 10, 2, 6, 2, 2, 10, 10, 10, 1, 6, 6, 6, 1, 2, 2, 10, 1, 1, 6, 1, 2, 2, 1, 1, 2, 10, 2, 1, 2, 10, 1, 6, 10, 1, 1, 1, 1, 6, 10, 2, 10, 6, 10, 2, 6, 2, 2, 2, 10, 10, 10, 6, 6, 8, 2, 2, 6, 2, 10, 1, 1, 0, 1, 1, 6, 10, 2, 10, 1, 2, 1, 2, 6, 2, 2, 1, 10, 10, 1, 10, 10, 1, 2, 1, 1, 5, 1, 2, 2, 10, 10, 10, 6, 1, 2, 6, 6, 10, 6, 2, 2, 10, 10, 2, 1, 6, 6, 1, 2, 2, 6, 6, 2, 2, 6, 6, 6, 40, 6, 6, 6, 2, 2, 1, 1, 1, 10, 2, 1, 2, 6, 10, 10, 6, 10, 6, 10, 1, 10, 1, 2, 2, 10, 6, 10, 10, 6, 2, 1, 6, 9, 6, 6, 1, 1, 10, 6, 6, 6, 10, 1, 10, 10, 6, 4, 10, 6, 6, 2, 2, 10, 6, 6, 10, 10, 2, 6, 6, 1, 10, 6, 1, 10, 1, 1, 10, 6, 5, 40, 1, 6, 1, 2, 2, 10, 2, 10, 1, 2, 10, 6, 2, 1, 1, 1, 10, 2, 10, 10, 10, 2, 10, 2, 2, 1, 1, 1, 10, 10, 6, 2, 2, 9, 6, 2, 6, 10, 2, 6, 1, 6, 10, 1, 6, 10, 6, 10, 1, 1, 1, 1, 1, 6, 1, 10, 2, 5, 1, 2, 1, 2, 1, 2, 1, 6, 1, 2, 6, 2, 4, 6, 1, 2, 10, 2, 2, 1, 6, 10, 1, 1, 2, 2, 6, 6, 6, 10, 1, 5, 2, 2, 10, 1, 6, 2, 1, 2, 2, 2, 6, 10, 6, 10, 6, 6, 6, 1, 10, 10, 10, 1, 1, 6, 1, 10, 10, 10, 10, 2, 2, 2, 10, 1, 2, 10, 1, 2, 1, 10, 6, 2, 6, 2, 1, 6, 2, 10, 2, 1, 10, 6, 1, 2, 4, 10, 2, 10, 1, 6, 1, 6, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 10, 10, 2, 2, 10, 10, 10, 6, 1, 1, 0, 10, 2, 2, 1, 1, 10, 6, 1, 5, 6, 2, 2, 10, 10, 2, 5, 2, 1, 1, 1, 10, 6, 9, 2, 2, 2, 6, 10, 1, 6, 2, 6, 10, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 10, 1, 10, 2, 6, 2, 10, 1, 6, 2, 6, 2, 10, 1, 10, 6, 1, 10, 4, 10, 2, 1, 6, 10, 2, 2, 2, 2, 1, 2, 2, 2, 1, 10, 10, 6, 6, 6, 1, 6, 6, 2, 10, 1, 9, 10, 10, 10, 6, 6, 10, 10, 2, 10, 6, 2, 6, 2, 10, 1, 5, 1, 10, 1, 1, 10, 1, 1, 6, 10, 1, 1, 10, 6, 10, 6, 4, 10, 6, 10, 10, 6, 10, 1, 1, 1, 6, 1, 10, 6, 1, 6, 6, 10, 10, 6, 6, 6, 1, 6, 10, 2, 6, 2, 4, 6, 2, 2, 10, 6, 2, 2, 2, 1, 2, 1, 2, 9, 6, 5, 2, 6, 6, 10, 1, 10, 1, 2, 1, 2, 10, 10, 10, 1, 2, 10, 1, 9, 10, 1, 2, 2, 1, 1, 1, 10, 10, 6, 1, 6, 2, 1, 2, 1, 0, 1, 6, 2, 1, 1, 2, 6, 2, 10, 6, 10, 1, 1, 10, 2, 2, 10, 6, 6, 10, 10, 10, 1, 10, 10, 10, 1, 6, 10, 2, 2, 10, 10, 10, 6, 10, 10, 2, 10, 1, 9, 6, 2, 1, 6, 2, 10, 6, 6, 10, 1, 1, 10, 2, 10, 10, 10, 1, 6, 6, 2, 2, 6, 10, 10, 6, 6, 10, 2, 1, 6, 10, 2, 2, 2, 6, 1, 6, 10, 2, 2, 10, 6, 1, 10, 2, 10, 6, 10, 6, 2, 1, 2, 10, 10, 1, 1, 6, 2, 10, 10, 6, 1, 1, 6, 2, 2, 6, 6, 1, 6, 10, 2, 6, 5, 4, 6, 10, 7, 2, 1, 1, 6, 6, 1, 6, 6, 2, 2, 10, 6, 2, 2, 2, 2, 10, 6, 10, 1, 1, 10, 10, 1, 2, 6, 10, 2, 1, 1, 6, 6, 6, 2, 10, 2, 1, 6, 1, 10, 2, 2, 0, 2, 1, 6, 2, 2, 2, 2, 6, 2, 5, 1, 6, 10, 6, 1, 1, 6, 9, 2, 1, 2, 1, 10, 2, 10, 10, 6, 1, 6, 9, 6, 6, 2, 2, 1, 1, 2, 4, 6, 1, 10, 6, 2, 2, 6, 2, 6, 0, 6, 2, 10, 2, 2, 1, 2, 10, 10, 10, 2, 6, 6, 1, 6, 10, 10, 2, 10, 10, 10, 1, 6, 2, 1, 6, 1, 2, 6, 6, 2, 1, 10, 10, 2, 2, 2, 10, 10, 2, 4, 6, 2, 6, 1, 10, 1, 10, 6, 10, 2, 6, 10, 1, 2, 1, 10, 2, 2, 10, 6, 2, 6, 6, 1, 6, 1, 6, 1, 2, 9, 1, 6, 2, 1, 10, 10, 1, 2, 2, 2, 10, 2, 6, 2, 10, 10, 2, 10, 10, 1, 1, 2, 2, 1, 6, 10, 10, 10, 6, 10, 2, 1, 10, 2, 6, 2, 2, 9, 6, 1, 10, 2, 2, 6, 10, 10, 10, 6, 5, 6, 10, 1, 6, 1, 1, 10, 1, 2, 2, 10, 2, 1, 6, 6, 2, 10, 2, 2, 1, 5, 1, 6, 10, 6, 6, 6, 10, 10, 10, 6, 1, 10, 0, 10, 10, 6, 6, 1, 2, 9, 10, 6, 10, 6, 10, 2, 2, 6, 10, 10, 1, 10, 6, 10, 2, 1, 2, 2, 2, 10, 1, 6, 6, 1, 1, 2, 6, 10, 10, 1, 1, 2, 1, 6, 10, 2, 2, 10, 4, 2, 1, 10, 10, 2, 1, 6, 2, 6, 1, 1, 6, 6, 10, 2, 1, 1, 1, 1, 10, 10, 9, 10, 2, 1, 10, 1, 9, 6, 2, 10, 2, 1, 2, 6, 10, 6, 6, 1, 6, 2, 1, 1, 6, 1, 6, 1, 6, 2, 10, 2, 10, 1, 0, 2, 6, 2, 6, 10, 10, 6, 2, 2, 1, 1, 1, 10, 2, 6, 2, 2, 1, 6, 1, 2, 1, 2, 2, 10, 1, 10, 6, 6, 1, 6, 2, 1, 2, 2, 6, 1, 4, 2, 6, 1, 2, 6, 2, 1, 1, 1, 2, 6, 10, 5, 10, 6, 60, 6, 6, 6, 10, 1, 10, 2, 2, 6, 2, 10, 10, 2, 10, 2, 10, 1, 2, 1, 10, 10, 6, 10, 10, 6, 0, 4, 10, 6, 1, 1, 10, 2, 6, 1, 1, 1, 10, 10, 2, 6, 10, 10, 2, 6, 10, 1, 10, 2, 1, 6, 1, 10, 6, 1, 1, 6, 6, 10, 10, 10, 10, 6, 10, 2, 2, 6, 6, 10, 4, 1, 6, 2, 2, 2, 6, 6, 1, 1, 1, 9, 6, 6, 6, 10, 6, 6, 2, 1, 6, 1, 10, 2, 10, 2, 6, 2, 6, 1, 2, 2, 6, 1, 10, 2, 10, 2, 10, 1, 1, 2, 6, 10, 1, 1, 10, 10, 6, 2, 2, 6, 6, 6, 6, 10, 10, 1, 1, 2, 2, 10, 10, 2, 2, 2, 1, 2, 10, 1, 10, 6, 10, 1, 2, 10, 1, 10, 10, 2, 2, 2, 1, 1, 2, 1, 10, 6, 10, 10, 6, 10, 6, 9, 2, 10, 4, 4, 1, 2, 1, 6, 6, 2, 6, 10, 6, 10, 2, 6, 6, 10, 2, 2, 2, 6, 10, 10, 2, 6, 10, 10, 1, 6, 10, 10, 1, 1, 2, 2, 10, 6, 6, 2, 10, 1, 10, 10, 6, 2, 1, 6, 1, 10, 6, 2, 6, 10, 1, 6, 2, 2, 6, 1, 2, 2, 5, 6, 6, 10, 10, 2, 10, 6, 10, 2, 10, 6, 10, 2, 1, 6, 10, 2, 10, 1, 10, 4, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 5, 10, 2, 6, 6, 6, 2, 10, 1, 6, 10, 1, 6, 10, 10, 2, 10, 1, 1, 10, 6, 2, 6, 6, 10, 1, 10, 1, 1, 2, 10, 6, 2, 6, 2, 6, 10, 6, 10, 1, 10, 2, 2, 10, 2, 6, 1, 1, 6, 2, 10, 1, 2, 6, 2, 10, 2, 10, 1, 6, 1, 1, 10, 2, 10, 6, 2, 10, 1, 2, 1, 2, 10, 1, 6, 2, 10, 10, 2, 6, 6, 1, 10, 2, 1, 2, 2, 10, 10, 10, 2, 10, 6, 1, 1, 6, 2, 1, 10, 6, 1, 10, 10, 1, 1, 1, 2, 10, 1, 10, 10, 6, 6, 1, 10, 1, 6, 2, 6, 6, 1, 10, 2, 2, 10, 10, 2, 10, 6, 1, 10, 1, 6, 10, 2, 1, 10, 10, 9, 10, 1, 10, 1, 1, 2, 10, 2, 6, 6, 1, 6, 1, 1, 1, 10, 1, 1, 1, 10, 6, 2, 1, 2, 10, 1, 2, 2, 1, 2, 2, 6, 10, 6, 10, 2, 6, 6, 2, 1, 2, 1, 1, 2, 6, 6, 6, 10, 1, 2, 10, 2, 10, 1, 1, 2, 2, 1, 6, 6, 10, 1, 1, 2, 2, 6, 2, 6, 6, 2, 6, 10, 6, 1, 0, 2, 6, 1, 6, 2, 1, 6, 6, 1, 1, 2, 10, 10, 1, 6, 2, 2, 1, 2, 6, 1, 6, 1, 6, 10, 1, 1, 1, 10, 10, 2, 1, 9, 10, 1, 10, 6, 10, 2, 2, 2, 10, 2, 2, 2, 6, 6, 6, 6, 2, 6, 2, 10, 10, 10, 10, 2, 2, 10, 6, 2, 2, 10, 10, 6, 1, 10, 2, 2, 0, 6, 10, 0, 10, 6, 10, 6, 1, 2, 6, 2, 6, 2, 10, 10, 1, 1, 1, 6, 2, 10, 10, 4, 1, 6, 1, 10, 10, 2, 2, 10, 4, 10, 2, 2, 10, 2, 2, 1, 2, 1, 2, 2, 2, 6, 6, 2, 6, 1, 6, 1, 6, 6, 1, 6, 10, 2, 1, 6, 2, 6, 6, 10, 2, 4, 2, 1, 2, 2, 10, 0, 10, 2, 2, 4, 1, 10, 1, 6, 2, 1, 2, 2, 10, 1, 10, 2, 2, 10, 2, 10, 1, 6, 1, 1, 1, 5, 10, 6, 1, 10, 10, 6, 6, 10, 6, 6, 9, 10, 2, 2, 1, 1, 4, 6, 1, 2, 10, 6, 2, 2, 10, 1, 10, 1, 10, 10, 9, 10, 6, 2, 10, 10, 6, 10, 6, 1, 10, 1, 6, 6, 10, 10, 10, 6, 10, 6, 6, 10, 6, 10, 6, 2, 6, 6, 5, 1, 2, 2, 6, 1, 2, 6, 1, 1, 10, 10, 2, 2, 1, 10, 1, 10, 1, 6, 10, 1, 6, 1, 6, 6, 6, 6, 10, 1, 6, 6, 6, 6, 1, 1, 6, 2, 1, 10, 10, 1, 10, 10, 10, 5, 4, 6, 1, 6, 6, 6, 1, 1, 2, 1, 6, 2, 10, 1, 6, 6, 10, 1, 2, 2, 10, 1, 10, 10, 2, 6, 10, 1, 2, 6, 1, 6, 2, 1, 10, 10, 2, 1, 2, 6, 1, 10, 6, 10, 2, 10, 2, 1, 1, 10, 2, 10, 6, 6, 1, 2, 2, 6, 6, 10, 1, 1, 10, 9, 2, 10, 10, 2, 1, 1, 1, 10, 6, 2, 6, 6, 10, 6, 1, 10, 1, 5, 10, 10, 10, 2, 2, 2, 6, 6, 10, 10, 2, 1, 2, 2, 10, 10, 10, 2, 1, 2, 2, 6, 6, 1, 6, 10, 6, 1, 6, 1, 4, 6, 6, 1, 6, 6, 1, 1, 2, 2, 1, 6, 2, 1, 2, 6, 1, 6, 2, 2, 6, 6, 10, 0, 10, 10, 1, 1, 10, 10, 2, 10, 4, 2, 10, 2, 2, 6, 6, 1, 2, 6, 10, 10, 1, 1, 1, 6, 1, 2, 6, 10, 1, 6, 2, 1, 10, 6, 2, 6, 1, 6, 1, 6, 6, 6, 6, 1, 2, 2, 5, 1, 1, 10, 2, 10, 1, 2, 1, 1, 2, 1, 1, 10, 1, 1, 2, 10, 6, 10, 10, 10, 6, 6, 2, 6, 10, 2, 2, 1, 2, 2, 1, 10, 6, 10, 10, 2, 10, 10, 10, 5, 2, 10, 1, 2, 10, 1, 0, 2, 10, 10, 10, 2, 6, 10, 2, 2, 1, 6, 10, 2, 2, 2, 4, 1, 2, 10, 1, 6, 2, 1, 10, 6, 10, 6, 2, 10, 6, 1, 10, 6, 1, 2, 10, 1, 6, 4, 1, 6, 1, 1, 10, 2, 6, 1, 2, 6, 10, 10, 6, 6, 1, 2, 1, 6, 1, 10, 2, 2, 2, 1, 6, 2, 2, 1, 2, 10, 1, 6, 2, 2, 10, 2, 1, 2, 10, 10, 10, 2, 10, 5, 6, 1, 2, 1, 1, 2, 10, 1, 2, 5, 6, 6, 2, 10, 6, 2, 1, 6, 2, 2, 6, 2, 1, 10, 10, 10, 1, 10, 2, 10, 2, 10, 6, 1, 2, 10, 10, 2, 2, 6, 6, 10, 6, 10, 1, 1, 6, 10, 6, 2, 6, 2, 10, 10, 2, 1, 6, 6, 2, 1, 10, 10, 6, 2, 10, 2, 2, 10, 10, 6, 10, 10, 2, 6, 2, 1, 6, 2, 5, 2, 1, 1, 2, 2, 6, 10, 2, 1, 2, 10, 6, 1, 2, 2, 5, 6, 6, 10, 10, 6, 1, 10, 2, 2, 2, 1, 2, 6, 10, 1, 10, 6, 10, 10, 5, 2, 10, 10, 2, 6, 10, 2, 6, 2, 2, 2, 6, 10, 10, 2, 6, 10, 6, 1, 6, 2, 8, 1, 6, 1, 2, 10, 2, 2, 6, 2, 1, 5, 6, 10, 0, 10, 10, 1, 1, 2, 2, 6, 6, 2, 1, 2, 6, 2, 10, 1, 5, 2, 1, 1, 1, 2, 1, 10, 1, 6, 2, 2, 10, 10, 2, 0, 6, 2, 2, 10, 2, 2, 10, 6, 2, 10, 1, 2, 1, 2, 6, 6, 2, 6, 2, 2, 10, 10, 2, 10, 10, 1, 2, 6, 6, 1, 6, 6, 1, 6, 6, 2, 6, 10, 6, 2, 10, 2, 1, 2, 10, 2, 2, 1, 6, 6, 2, 6, 6, 1, 2, 4, 1, 6, 1, 2, 2, 6, 2, 10, 1, 1, 1, 10, 0, 1, 1, 1, 1, 2, 2, 6, 6, 6, 6, 10, 1, 6, 2, 1, 6, 1, 2, 6, 10, 5, 10, 1, 1, 10, 2, 6, 10, 1, 2, 5, 2, 6, 6, 10, 10, 2, 1, 6, 10, 6, 1, 2, 10, 10, 1, 1, 10, 6, 2, 2, 1, 10, 5, 10, 2, 2, 6, 6, 1, 2, 10, 6, 6, 10, 10, 10, 1, 10, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 6, 10, 6, 1, 1, 1, 1, 2, 1, 2, 2, 2, 10, 6, 10, 10, 2, 10, 2, 2, 1, 10, 1, 2, 1, 10, 6, 2, 1, 10, 1, 9, 1, 2, 6, 10, 2, 2, 1, 2, 2, 2, 1, 10, 2, 1, 1, 2, 10, 10, 2, 2, 1, 2, 6, 6, 6, 1, 6, 1, 6, 10, 2, 1, 1, 10, 2, 6, 10, 2, 6, 6, 1, 10, 6, 2, 10, 10, 4, 2, 6, 0, 6, 2, 10, 1, 10, 1, 6, 6, 1, 6, 10, 1, 6, 6, 10, 6, 6, 2, 4, 1, 10, 2, 10, 10, 6, 2, 6, 1, 1, 6, 2, 2, 6, 2, 1, 6, 10, 10, 2, 6, 6, 6, 6, 1, 2, 1, 1, 2, 1, 10, 6, 6, 1, 1, 10, 1, 10, 1, 2, 10, 1, 6, 10, 1, 10, 1, 9, 1, 10, 1, 2, 2, 2, 1, 10, 10, 1, 10, 0, 10, 1, 1, 1, 10, 6, 1, 6, 2, 1, 2, 6, 1, 6, 6, 1, 2, 10, 10, 2, 1, 10, 6, 2, 6, 1, 1, 10, 10, 1, 10, 2, 10, 6, 10, 10, 1, 2, 6, 6, 1, 2, 10, 2, 10, 1, 6, 2, 2, 4, 2, 1, 10, 1, 6, 2, 6, 6, 10, 10, 2, 6, 1, 2, 1, 1, 6, 2, 1, 2, 10, 1, 2, 10, 1, 10, 1, 2, 2, 6, 10, 2, 50, 2, 10, 10, 6, 1, 0, 2, 1, 6, 2, 6, 6, 10, 2, 6, 6, 5, 10, 1, 1, 10, 6, 2, 1, 6, 2, 2, 2, 6, 10, 1, 6, 1, 1, 2, 1, 6, 6, 1, 2, 4, 6, 6, 1, 10, 50, 1, 10, 2, 2, 6, 2, 6, 4, 4, 1, 10, 2, 2, 10, 2, 6, 2, 2, 6, 2, 10, 1, 1, 1, 10, 1, 10, 10, 10, 2, 6, 1, 5, 2, 1, 1, 6, 4, 9, 2, 9, 2, 2, 2, 6, 1, 2, 2, 6, 2, 1, 10, 1, 6, 2, 10, 10, 1, 2, 6, 1, 1, 6, 2, 2, 6, 2, 2, 10, 1, 2, 2, 6, 6, 2, 6, 1, 6, 10, 1, 1, 10, 2, 2, 1, 6, 1, 6, 10, 10, 1, 6, 2, 10, 4, 1, 10, 10, 10, 6, 6, 6, 1, 1, 1, 6, 1, 1, 2, 1, 1, 1, 10, 1, 5, 6, 10, 2, 5, 1, 6, 2, 1, 10, 1, 2, 2, 1, 2, 6, 6, 9, 1, 1, 1, 10, 6, 6, 6, 6, 2, 6, 2, 1, 1, 6, 1, 10, 2, 6, 10, 10, 2, 10, 2, 1, 2, 2, 10, 2, 1, 1, 4, 1, 0, 1, 6, 10, 10, 2, 10, 10, 6, 2, 6, 1, 6, 1, 1, 1, 2, 10, 2, 1, 6, 2, 1, 1, 1, 10, 10, 0, 10, 2, 10, 6, 2, 10, 2, 10, 2, 1, 4, 6, 1, 2, 2, 1, 10, 2, 6, 10, 1, 10, 6, 2, 10, 2, 6, 2, 2, 1, 1, 6, 2, 1, 6, 2, 0, 6, 6, 2, 2, 10, 2, 10, 2, 1, 10, 6, 2, 10, 10, 1, 6, 2, 6, 1, 10, 6, 1, 10, 10, 6, 10, 2, 6, 2, 1, 10, 2, 6, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 6, 6, 10, 6, 2, 10, 1, 2, 1, 2, 2, 10, 2, 4, 2, 10, 6, 6, 10, 2, 6, 10, 10, 10, 2, 10, 2, 6, 2, 10, 10, 10, 6, 10, 1, 10, 1, 1, 6, 1, 2, 2, 10, 4, 6, 2, 2, 10, 1, 6, 5, 6, 1, 9, 6, 1, 1, 6, 6, 2, 2, 1, 6, 10, 6, 2, 2, 6, 4, 10, 2, 1, 1, 10, 6, 10, 6, 2, 1, 10, 2, 1, 10, 2, 1, 2, 2, 1, 6, 10, 6, 6, 2, 1, 1, 6, 6, 1, 2, 6, 1, 6, 2, 6, 2, 1, 10, 2, 10, 1, 9, 6, 1, 6, 1, 6, 2, 10, 2, 1, 10, 10, 1, 10, 6, 6, 1, 6, 6, 10, 10, 6, 9, 10, 10, 6, 1, 1, 1, 10, 1, 10, 10, 6, 1, 2, 10, 1, 1, 6, 10, 2, 6, 1, 2, 10, 10, 1, 2, 10, 1, 1, 10, 1, 10, 1, 1, 10, 1, 10, 6, 2, 1, 2, 6, 4, 1, 2, 2, 1, 2, 6, 6, 10, 2, 1, 1, 10, 6, 2, 2, 6, 6, 6, 1, 6, 10, 6, 10, 6, 1, 6, 1, 1, 6, 1, 6, 1, 1, 2, 2, 10, 6, 10, 10, 6, 1, 1, 2, 5, 6, 2, 10, 4, 10, 10, 6, 6, 10, 2, 6, 10, 10, 2, 2, 10, 2, 6, 2, 10, 6, 6, 2, 10, 10, 6, 10, 2, 6, 6, 1, 1, 2, 1, 2, 10, 1, 10, 2, 10, 10, 1, 2, 6, 10, 2, 6, 6, 10, 1, 2, 10, 10, 1, 1, 6, 2, 6, 2, 2, 1, 1, 10, 1, 10, 6, 10, 2, 10, 6, 6, 6, 1, 2, 10, 6, 6, 10, 6, 10, 6, 6, 2, 2, 2, 2, 1, 2, 2, 1, 9, 1, 2, 2, 1, 6, 2, 2, 1, 10, 2, 4, 10, 9, 10, 10, 10, 2, 10, 2, 6, 10, 1, 6, 10, 4, 6, 1, 2, 6, 4, 10, 10, 6, 2, 1, 2, 1, 10, 2, 5, 6, 1, 6, 1, 10, 6, 1, 2, 10, 1, 2, 10, 2, 2, 6, 6, 6, 6, 10, 1, 1, 6, 2, 10, 2, 2, 2, 10, 2, 1, 2, 10, 1, 2, 1, 10, 6, 2, 6, 10, 6, 9, 6, 2, 1, 2, 10, 2, 10, 1, 2, 2, 10, 1, 1, 10, 1, 6, 10, 6, 2, 10, 1, 6, 2, 1, 10, 1, 2, 10, 2, 2, 1, 6, 10, 1, 6, 2, 6, 6, 1, 10, 2, 1, 6, 2, 6, 2, 1, 10, 6, 10, 4, 6, 6, 6, 6, 2, 1, 2, 1, 1, 1, 10, 1, 2, 10, 1, 10, 2, 1, 6, 1, 6, 6, 10, 6, 1, 10, 6, 1, 6, 1, 10, 10, 1, 10, 10, 10, 2, 6, 2, 1, 2, 6, 2, 2, 6, 10, 6, 10, 1, 10, 2, 6, 2, 2, 1, 6, 6, 10, 10, 6, 6, 1, 6, 6, 2, 2, 6, 2, 2, 10, 2, 1, 2, 1, 10, 1, 2, 2, 10, 2, 6, 2, 10, 6, 1, 10, 2, 6, 1, 2, 0, 4, 10, 1, 2, 2, 6, 10, 1, 1, 1, 1, 1, 6, 6, 1, 2, 2, 10, 6, 9, 10, 6, 1, 1, 10, 2, 10, 6, 6, 2, 6, 6, 6, 2, 2, 10, 6, 1, 9, 1, 10, 1, 2, 2, 6, 2, 2, 10, 2, 10, 10, 10, 1, 2, 4, 2, 10, 10, 1, 6, 10, 1, 6, 1, 10, 10, 10, 10, 10, 1, 2, 1, 6, 2, 2, 10, 10, 10, 6, 10, 6, 10, 6, 6, 2, 10, 6, 10, 6, 2, 1, 2, 1, 6, 1, 1, 10, 6, 10, 10, 6, 10, 2, 6, 2, 2, 10, 10, 10, 10, 10, 1, 6, 2, 2, 6, 1, 6, 1, 2, 2, 1, 6, 2, 2, 2, 10, 10, 6, 6, 1, 2, 10, 1, 1, 6, 10, 2, 10, 2, 6, 1, 6, 1, 6, 2, 6, 2, 2, 10, 2, 6, 10, 10, 6, 10, 6, 10, 2, 2, 2, 10, 6, 1, 6, 1, 10, 6, 10, 10, 6, 10, 1, 6, 2, 2, 10, 2, 2, 6, 10, 1, 1, 2, 2, 2, 1, 6, 6, 10, 6, 6, 2, 1, 1, 6, 6, 1, 1, 1, 6, 10, 6, 1, 2, 2, 10, 6, 2, 10, 1, 10, 1, 10, 10, 6, 2, 2, 6, 5, 1, 2, 6, 6, 1, 10, 1, 10, 1, 6, 6, 2, 10, 6, 1, 2, 6, 6, 2, 2, 10, 1, 6, 6, 2, 1, 10, 1, 10, 6, 1, 10, 1, 2, 2, 2, 10, 6, 10, 6, 2, 1, 2, 6, 1, 6, 1, 1, 2, 6, 1, 2, 1, 6, 1, 2, 1, 9, 4, 1, 2, 2, 10, 1, 1, 4, 1, 4, 2, 10, 1, 10, 2, 10, 10, 6, 2, 1, 1, 2, 10, 5, 6, 10, 6, 1, 6, 1, 6, 10, 2, 10, 6, 2, 10, 1, 10, 2, 2, 2, 6, 10, 6, 1, 2, 6, 1, 10, 2, 4, 6, 6, 10, 1, 0, 1, 10, 1, 6, 6, 2, 1, 10, 6, 1, 6, 2, 2, 1, 1, 6, 6, 2, 6, 2, 10, 10, 9, 2, 2, 10, 6, 10, 6, 10, 2, 6, 10, 2, 4, 1, 1, 10, 6, 6, 10, 6, 6, 10, 10, 1, 2, 2, 2, 2, 1, 6, 1, 6, 2, 10, 6, 6, 6, 1, 6, 6, 6, 10, 10, 10, 6, 0, 2, 10, 6, 2, 1, 2, 2, 6, 10, 2, 2, 2, 10, 2, 10, 10, 1, 2, 6, 10, 1, 6, 1, 6, 2, 10, 10, 2, 1, 6, 10, 6, 10, 6, 6, 1, 1, 2, 10, 1, 2, 6, 10, 10, 6, 2, 2, 6, 6, 1, 40, 1, 1, 10, 1, 1, 10, 6, 2, 6, 2, 10, 1, 2, 2, 2, 1, 5, 1, 1, 10, 10, 6, 10, 5, 10, 10, 2, 2, 10, 10, 2, 2, 1, 6, 2, 6, 6, 2, 10, 1, 1, 6, 10, 2, 1, 10, 6, 6, 2, 10, 6, 1, 2, 10, 10, 1, 6, 6, 2, 2, 2, 1, 10, 6, 2, 6, 10, 6, 2, 6, 10, 1, 1, 10, 6, 60, 6, 6, 6, 6, 10, 6, 1, 10, 10, 2, 6, 10, 6, 1, 1, 6, 1, 7, 6, 2, 1, 2, 2, 6, 10, 2, 2, 6, 10, 6, 10, 6, 10, 6, 1, 1, 1, 1, 9, 1, 10, 6, 6, 2, 6, 10, 4, 10, 2, 10, 1, 2, 6, 6, 6, 2, 6, 2, 2, 1, 1, 10, 2, 1, 6, 1, 1, 2, 10, 10, 4, 1, 1, 10, 6, 10, 2, 6, 2, 2, 1, 2, 6, 6, 6, 2, 6, 2, 2, 1, 1, 2, 10, 2, 4, 2, 10, 6, 1, 10, 10, 0, 2, 6, 1, 2, 10, 2, 2, 2, 1, 0, 2, 2, 2, 2, 10, 1, 10, 6, 2, 10, 5, 2, 1, 10, 2, 2, 2, 1, 10, 10, 2, 10, 2, 2, 6, 2, 1, 1, 10, 10, 1, 10, 10, 1, 1, 10, 1, 1, 2, 6, 10, 6, 2, 1, 2, 6, 2, 2, 6, 10, 6, 6, 2, 2, 10, 1, 1, 10, 1, 6, 6, 6, 1, 1, 6, 2, 2, 1, 1, 2, 2, 10, 2, 6, 1, 6, 6, 1, 0, 10, 10, 1, 10, 1, 6, 6, 2, 1, 2, 10, 1, 10, 10, 6, 6, 6, 1, 6, 10, 10, 2, 10, 10, 10, 2, 6, 1, 1, 2, 1, 1, 2, 1, 6, 6, 1, 6, 6, 1, 10, 2, 2, 6, 1, 2, 1, 6, 10, 1, 2, 6, 2, 6, 10, 10, 6, 2, 2, 10, 10, 6, 10, 6, 1, 1, 4, 2, 10, 5, 10, 10, 2, 2, 2, 10, 1, 6, 6, 1, 6, 6, 2, 6, 10, 1, 6, 10, 1, 2, 2, 2, 1, 1, 1, 10, 1, 1, 10, 1, 2, 2, 2, 2, 1, 10, 10, 6, 1, 1, 10, 6, 2, 2, 1, 1, 2, 6, 1, 10, 10, 10, 10, 5, 1, 6, 2, 10, 2, 1, 2, 1, 1, 6, 1, 6, 1, 2, 10, 1, 10, 6, 2, 2, 2, 10, 10, 10, 1, 1, 6, 10, 6, 2, 6, 1, 1, 1, 2, 1, 1, 10, 1, 1, 1, 6, 6, 10, 10, 2, 2, 5, 2, 6, 1, 2, 6, 2, 10, 6, 10, 1, 1, 1, 1, 2, 10, 6, 2, 6, 6, 10, 6, 2, 10, 6, 10, 2, 6, 1, 10, 2, 6, 6, 10, 2, 2, 2, 2, 1, 1, 4, 10, 1, 10, 2, 6, 2, 2, 10, 2, 6, 1, 6, 6, 2, 2, 10, 1, 6, 2, 2, 10, 10, 2, 6, 2, 2, 1, 1, 6, 1, 6, 2, 6, 2, 10, 6, 1, 6, 6, 2, 2, 6, 6, 6, 1, 6, 1, 2, 10, 10, 6, 1, 10, 2, 1, 10, 10, 10, 1, 1, 1, 2, 10, 6, 10, 1, 1, 10, 2, 1, 2, 10, 6, 2, 6, 6, 10, 10, 4, 10, 1, 10, 6, 10, 1, 6, 6, 1, 10, 6, 6, 1, 10, 1, 10, 10, 10, 6, 10, 2, 1, 1, 2, 10, 2, 10, 10, 1, 2, 2, 2, 1, 10, 2, 1, 2, 1, 5, 1, 10, 10, 6, 10, 6, 10, 10, 10, 10, 2, 2, 10, 1, 2, 10, 6, 1, 2, 10, 2, 6, 10, 1, 4, 2, 6, 4, 2, 2, 6, 1, 2, 2, 6, 1, 6, 1, 10, 2, 6, 1, 1, 1, 6, 6, 6, 10, 2, 2, 1, 1, 10, 1, 1, 6, 10, 10, 0, 1, 10, 2, 1, 6, 2, 10, 10, 10, 2, 10, 6, 6, 2, 1, 6, 6, 6, 2, 6, 6, 2, 6, 6, 10, 2, 1, 10, 2, 6, 1, 1, 10, 10, 1, 10, 10, 10, 1, 2, 10, 2, 2, 6, 2, 10, 1, 2, 10, 10, 2, 1, 1, 1, 2, 6, 10, 2, 2, 6, 6, 0, 6, 1, 6, 10, 1, 10, 6, 1, 2, 2, 6, 1, 10, 6, 10, 1, 2, 10, 1, 10, 6, 2, 2, 1, 2, 6, 6, 6, 10, 2, 2, 10, 2, 2, 1, 2, 1, 1, 6, 2, 6, 10, 10, 2, 6, 10, 10, 6, 2, 6, 2, 6, 10, 2, 2, 2, 1, 10, 1, 6, 1, 10, 2, 1, 10, 2, 10, 6, 6, 2, 1, 6, 4, 1, 0, 10, 2, 1, 1, 10, 10, 2, 6, 10, 1, 10, 2, 9, 10, 10, 6, 2, 2, 1, 2, 2, 10, 10, 10, 2, 2, 1, 10, 1, 10, 6, 2, 2, 2, 6, 1, 2, 10, 2, 2, 6, 2, 6, 2, 9, 2, 2, 2, 6, 10, 10, 6, 10, 2, 10, 2, 6, 2, 2, 1, 2, 1, 10, 6, 10, 1, 10, 1, 6, 1, 10, 10, 2, 10, 1, 10, 6, 0, 6, 6, 2, 2, 1, 2, 6, 2, 6, 6, 2, 10, 1, 6, 10, 2, 10, 2, 10, 10, 6, 2, 6, 1, 6, 1, 2, 1, 9, 10, 2, 1, 6, 2, 2, 2, 1, 10, 1, 2, 1, 2, 2, 9, 1, 10, 6, 1, 1, 6, 10, 6, 6, 10, 6, 6, 1, 6, 6, 10, 10, 10, 6, 6, 10, 6, 1, 10, 6, 6, 6, 6, 6, 6, 10, 5, 1, 6, 6, 1, 10, 2, 2, 1, 2, 6, 2, 1, 1, 6, 1, 6, 2, 1, 10, 6, 1, 2, 2, 6, 6, 5, 2, 10, 10, 2, 2, 10, 6, 10, 10, 2, 2, 2, 1, 10, 6, 10, 6, 6, 10, 2, 6, 10, 6, 10, 2, 10, 1, 1, 2, 6, 2, 6, 2, 4, 10, 10, 10, 10, 6, 6, 1, 6, 10, 1, 2, 10, 10, 5, 6, 1, 2, 2, 1, 1, 2, 2, 10, 0, 2, 1, 6, 1, 1, 6, 10, 6, 6, 10, 10, 2, 10, 10, 10, 10, 2, 6, 4, 10, 1, 10, 10, 1, 2, 6, 10, 6, 1, 10, 10, 6, 10, 6, 2, 6, 6, 6, 10, 6, 10, 10, 10, 6, 6, 2, 2, 2, 10, 10, 6, 6, 6, 1, 1, 2, 6, 10, 1, 10, 1, 1, 2, 2, 1, 10, 1, 1, 2, 2, 10, 1, 6, 10, 10, 10, 2, 6, 2, 10, 2, 10, 6, 2, 6, 10, 10, 2, 1, 2, 5, 10, 2, 6, 4, 6, 6, 10, 6, 10, 10, 1, 6, 1, 6, 10, 2, 6, 1, 10, 6, 1, 6, 10, 10, 2, 6, 1, 9, 2, 1, 6, 6, 2, 1, 1, 1, 9, 10, 6, 10, 2, 10, 6, 10, 10, 1, 10, 10, 6, 2, 10, 2, 2, 6, 1, 1, 10, 6, 2, 10, 6, 6, 10, 6, 2, 2, 10, 1, 2, 10, 6, 6, 6, 6, 10, 6, 6, 10, 1, 6, 2, 1, 2, 6, 1, 1, 2, 10, 2, 2, 1, 1, 6, 2, 10, 2, 1, 6, 10, 10, 2, 2, 1, 2, 6, 6, 6, 10, 6, 10, 6, 1, 10, 6, 1, 1, 10, 0, 2, 2, 1, 1, 6, 10, 6, 6, 10, 6, 10, 6, 5, 6, 1, 2, 2, 10, 6, 6, 1, 2, 2, 10, 6, 10, 1, 1, 10, 10, 4, 1, 6, 6, 10, 2, 10, 2, 10, 10, 1, 0, 6, 10, 1, 6, 10, 2, 2, 10, 2, 2, 10, 10, 1, 1, 1, 1, 6, 2, 6, 6, 2, 1, 10, 1, 1, 10, 2, 1, 1, 6, 1, 6, 6, 1, 2, 1, 6, 6, 2, 6, 10, 1, 1, 2, 10, 2, 6, 6, 1, 10, 6, 10, 2, 10, 10, 10, 1, 6, 5, 1, 6, 10, 6, 10, 1, 1, 6, 1, 6, 10, 4, 1, 2, 5, 6, 6, 2, 2, 1, 2, 5, 1, 2, 10, 9, 10, 10, 2, 1, 6, 6, 2, 1, 2, 1, 1, 5, 2, 1, 1, 6, 2, 1, 2, 10, 1, 1, 10, 2, 10, 1, 10, 10, 1, 1, 6, 2, 6, 10, 10, 10, 2, 2, 1, 10, 2, 10, 10, 2, 10, 1, 6, 1, 10, 6, 2, 6, 1, 6, 10, 2, 6, 10, 6, 1, 10, 1, 2, 10, 6, 2, 6, 1, 2, 1, 1, 1, 1, 2, 6, 1, 10, 10, 2, 6, 1, 2, 1, 2, 6, 1, 10, 6, 6, 1, 6, 6, 10, 9, 10, 6, 1, 4, 2, 9, 4, 2, 10, 5, 2, 2, 2, 1, 1, 10, 10, 10, 6, 6, 10, 2, 2, 1, 1, 10, 6, 10, 10, 2, 2, 1, 0, 1, 6, 6, 1, 10, 6, 1, 6, 4, 2, 2, 10, 1, 1, 2, 1, 2, 1, 6, 2, 6, 2, 1, 10, 1, 10, 10, 10, 1, 10, 1, 6, 10, 10, 2, 1, 2, 6, 6, 2, 6, 10, 10, 2, 6, 10, 1, 1, 10, 5, 6, 10, 6, 1, 10, 6, 2, 10, 2, 10, 2, 2, 6, 10, 2, 2, 10, 2, 1, 1, 2, 1, 6, 1, 0, 10, 2, 10, 2, 10, 2, 4, 10, 2, 1, 10, 1, 6, 2, 10, 6, 1, 6, 1, 1, 2, 6, 2, 10, 2, 2, 1, 1, 6, 10, 10, 10, 1, 2, 1, 2, 10, 10, 6, 1, 6, 6, 1, 1, 1, 6, 1, 10, 6, 1, 2, 10, 6, 10, 10, 2, 1, 10, 10, 2, 2, 1, 1, 1, 2, 1, 6, 1, 10, 6, 1, 1, 10, 6, 1, 6, 6, 10, 1, 10, 2, 6, 10, 10, 2, 10, 10, 1, 6, 1, 2, 10, 2, 2, 10, 6, 10, 6, 10, 2, 1, 10, 2, 6, 6, 6, 10, 2, 1, 10, 2, 1, 1, 2, 2, 2, 6, 10, 10, 2, 10, 10, 10, 10, 1, 10, 1, 1, 1, 6, 1, 6, 2, 6, 10, 6, 6, 2, 6, 6, 6, 10, 6, 1, 2, 2, 10, 1, 2, 10, 5, 10, 2, 2, 6, 2, 10, 2, 1, 1, 2, 6, 10, 10, 6, 1, 6, 1, 10, 2, 2, 6, 6, 1, 10, 1, 1, 1, 1, 10, 6, 2, 2, 2, 1, 6, 2, 10, 1, 6, 6, 1, 2, 10, 10, 10, 1, 6, 2, 6, 2, 1, 2, 1, 0, 10, 2, 6, 6, 10, 10, 6, 1, 4, 2, 10, 2, 10, 2, 10, 6, 6, 1, 6, 1, 2, 1, 10, 6, 1, 6, 6, 10, 1, 6, 10, 1, 10, 10, 2, 2, 6, 1, 1, 2, 10, 10, 2, 10, 10, 2, 10, 1, 2, 2, 10, 10, 10, 1, 6, 2, 10, 10, 1, 1, 1, 1, 6, 1, 2, 10, 6, 10, 10, 2, 10, 6, 6, 2, 1, 2, 1, 6, 2, 1, 10, 10, 10, 10, 2, 6, 10, 10, 1, 10, 6, 10, 1, 6, 1, 6, 10, 4, 1, 10, 1, 1, 6, 1, 6, 1, 1, 6, 6, 1, 0, 2, 1, 2, 6, 10, 1, 6, 2, 1, 10, 2, 0, 1, 1, 2, 10, 6, 10, 10, 10, 6, 6, 10, 1, 1, 10, 2, 1, 2, 4, 6, 1, 2, 10, 2, 2, 1, 1, 10, 10, 2, 10, 1, 6, 6, 10, 6, 6, 10, 1, 4, 10, 2, 6, 2, 10, 6, 1, 10, 2, 2, 1, 10, 6, 6, 2, 6, 10, 6, 1, 2, 6, 1, 10, 2, 6, 1, 10, 2, 10, 2, 1, 6, 6, 2, 10, 6, 6, 10, 1, 10, 6, 2, 2, 2, 2, 2, 2, 2, 1, 2, 5, 6, 1, 6, 6, 6, 1, 6, 6, 6, 10, 1, 2, 10, 10, 1, 1, 2, 10, 6, 6, 2, 6, 6, 5, 6, 2, 10, 1, 2, 2, 6, 6, 1, 1, 10, 1, 2, 2, 2, 10, 10, 6, 6, 6, 2, 1, 1, 1, 1, 9, 2, 6, 2, 6, 6, 1, 10, 10, 1, 10, 6, 10, 1, 10, 2, 10, 2, 2, 2, 6, 2, 1, 6, 6, 6, 6, 2, 2, 10, 1, 2, 10, 6, 2, 1, 6, 0, 10, 10, 10, 1, 6, 2, 1, 6, 1, 10, 1, 1, 6, 4, 6, 2, 1, 10, 1, 1, 10, 1, 2, 6, 10, 10, 2, 6, 6, 1, 6, 5, 2, 2, 10, 2, 10, 10, 6, 10, 2, 10, 6, 9, 6, 10, 10, 10, 10, 2, 6, 10, 10, 6, 10, 10, 1, 2, 10, 6, 1, 2, 6, 1, 1, 6, 10, 5, 6, 1, 10, 2, 9, 6, 1, 10, 1, 10, 10, 2, 2, 2, 2, 6, 1, 1, 1, 1, 5, 2, 10, 1, 0, 1, 10, 1, 6, 6, 10, 1, 10, 6, 2, 2, 2, 2, 2, 10, 2, 10, 6, 6, 10, 6, 2, 6, 10, 10, 2, 2, 2, 2, 6, 1, 6, 10, 6, 10, 2, 1, 1, 2, 10, 10, 2, 2, 1, 1, 2, 2, 10, 1, 6, 2, 6, 6, 2, 1, 2, 6, 6, 1, 2, 10, 2, 10, 1, 10, 1, 2, 10, 6, 10, 6, 2, 4, 2, 10, 1, 1, 2, 1, 2, 10, 1, 1, 4, 2, 1, 1, 2, 6, 10, 2, 1, 10, 2, 6, 2, 6, 1, 1, 2, 10, 2, 2, 1, 2, 1, 2, 10, 1, 2, 2, 2, 10, 10, 1, 2, 10, 1, 1, 10, 10, 2, 1, 6, 6, 6, 6, 2, 1, 2, 10, 6, 2, 2, 4, 10, 6, 6, 10, 6, 2, 1, 6, 1, 1, 10, 1, 10, 10, 10, 10, 1, 2, 1, 2, 1, 2, 2, 10, 6, 10, 6, 6, 2, 1, 4, 1, 10, 1, 10, 10, 10, 10, 10, 6, 10, 10, 2, 10, 10, 10, 5, 10, 2, 6, 1, 1, 1, 10, 2, 2, 1, 1, 1, 6, 10, 10, 6, 10, 2, 2, 10, 1, 10, 10, 2, 6, 10, 10, 6, 6, 10, 2, 6, 1, 1, 1, 2, 10, 1, 2, 2, 1, 6, 1, 6, 10, 2, 1, 1, 10, 1, 0, 6, 1, 9, 1, 1, 2, 1, 1, 1, 6, 6, 2, 10, 2, 2, 6, 6, 6, 6, 9, 1, 6, 2, 10, 6, 10, 1, 6, 2, 2, 6, 10, 2, 2, 6, 2, 6, 1, 2, 10, 6, 6, 9, 1, 10, 1, 6, 6, 10, 1, 0, 10, 2, 1, 6, 2, 2, 1, 1, 2, 6, 10, 6, 2, 6, 2, 2, 6, 6, 6, 1, 2, 6, 10, 10, 10, 1, 2, 2, 10, 6, 10, 6, 10, 6, 2, 2, 10, 1, 1, 2, 1, 2, 6, 2, 6, 10, 1, 10, 10, 10, 10, 1, 1, 6, 2, 2, 2, 6, 2, 6, 10, 1, 2, 10, 10, 2, 6, 2, 1, 2, 6, 10, 5, 1, 2, 6, 1, 6, 6, 2, 1, 2, 1, 6, 2, 10, 1, 10, 10, 1, 10, 6, 2, 10, 5, 10, 1, 2, 10, 6, 0, 2, 9, 2, 2, 2, 6, 1, 10, 2, 2, 0, 1, 10, 1, 2, 6, 2, 1, 10, 2, 6, 1, 10, 6, 2, 6, 2, 1, 2, 1, 2, 6, 1, 6, 10, 2, 2, 10, 2, 2, 4, 6, 1, 2, 6, 1, 1, 1, 1, 10, 1, 10, 9, 6, 2, 2, 2, 6, 10, 2, 1, 10, 1, 6, 2, 1, 1, 2, 2, 1, 2, 9, 6, 10, 6, 10, 2, 6, 10, 10, 10, 2, 10, 2, 6, 6, 10, 10, 2, 10, 2, 6, 1, 10, 6, 2, 6, 2, 10, 6, 6, 2, 10, 1, 1, 10, 10, 2, 6, 1, 2, 1, 1, 1, 1, 6, 10, 9, 6, 2, 2, 1, 10, 2, 1, 2, 10, 6, 6, 10, 10, 10, 1, 10, 1, 2, 1, 2, 6, 2, 6, 6, 6, 6, 10, 1, 6, 2, 1, 6, 1, 10, 1, 2, 2, 6, 10, 1, 1, 2, 10, 2, 2, 1, 10, 2, 2, 2, 1, 1, 6, 1, 6, 6, 10, 1, 2, 6, 0, 2, 1, 2, 10, 0, 10, 10, 10, 10, 2, 10, 10, 10, 2, 10, 1, 2, 6, 2, 2, 10, 10, 10, 1, 2, 6, 6, 2, 6, 2, 1, 1, 2, 6, 1, 2, 2, 6, 1, 1, 10, 10, 6, 6, 2, 6, 10, 1, 1, 2, 2, 2, 6, 2, 1, 10, 6, 10, 10, 10, 6, 2, 2, 1, 9, 2, 10, 6, 10, 1, 1, 2, 10, 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2, 6, 1, 1, 1, 1, 1, 1, 6, 1, 10, 1, 6, 1, 1, 2, 10, 1, 6, 1, 10, 2, 10, 6, 10, 1, 1, 2, 6, 1, 2, 10, 10, 2, 10, 10, 10, 1, 6, 10, 1, 2, 6, 10, 10, 6, 6, 6, 6, 1, 9, 2, 2, 6, 6, 5, 10, 1, 2, 2, 1, 6, 6, 60, 6, 2, 2, 1, 6, 6, 2, 6, 1, 6, 6, 6, 6, 1, 1, 10, 1, 1, 2, 1, 1, 2, 10, 6, 2, 10, 6, 2, 6, 6, 1, 2, 10, 6, 6, 6, 6, 2, 10, 1, 10, 6, 10, 10, 10, 1, 6, 1, 10, 10, 1, 1, 6, 6, 1, 2, 2, 6, 6, 6, 6, 1, 1, 6, 6, 1, 4, 6, 10, 6, 4, 6, 5, 10, 10, 1, 10, 10, 1, 10, 2, 4, 2, 1, 10, 6, 6, 10, 2, 10, 1, 10, 10, 2, 1, 10, 10, 1, 1, 1, 6, 1, 1, 2, 6, 1, 2, 2, 1, 6, 2, 1, 6, 2, 6, 1, 1, 1, 2, 1, 6, 1, 2, 6, 1, 10, 10, 10, 6, 10, 2, 2, 6, 10, 2, 1, 10, 6, 6, 2, 10, 6, 6, 1, 2, 10, 6, 6, 6, 10, 2, 2, 1, 10, 10, 1, 2, 2, 10, 10, 6, 2, 2, 1, 1, 5, 1, 1, 2, 10, 6, 6, 10, 6, 2, 6, 2, 1, 2, 9, 10, 6, 1, 10, 6, 6, 6, 2, 1, 6, 10, 2, 1, 1, 1, 0, 6, 1, 2, 1, 0, 1, 5, 2, 1, 1, 6, 1, 1, 2, 2, 2, 2, 10, 2, 2, 2, 6, 2, 10, 6, 1, 6, 2, 1, 10, 10, 2, 1, 10, 1, 6, 2, 10, 10, 2, 5, 2, 6, 1, 2, 1, 1, 10, 10, 2, 10, 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1, 2, 1, 6, 10, 10, 10, 2, 1, 6, 6, 2, 6, 2, 1, 2, 9, 2, 2, 2, 2, 6, 60, 2, 10, 10, 10, 10, 2, 2, 10, 10, 6, 10, 4, 6, 10, 2, 1, 6, 6, 10, 6, 10, 10, 6, 6, 6, 6, 1, 6, 2, 2, 2, 1, 10, 1, 10, 10, 10, 6, 6, 2, 6, 2, 1, 1, 1, 6, 2, 10, 2, 2, 6, 10, 2, 10, 6, 2, 9, 2, 9, 10, 1, 6, 2, 5, 2, 10, 10, 6, 10, 2, 6, 1, 2, 2, 1, 2, 2, 6, 2, 6, 6, 1, 10, 10, 6, 2, 2, 10, 1, 10, 3, 10, 1, 1, 1, 1, 10, 1, 10, 10, 6, 4, 2, 1, 6, 6, 6, 6, 1, 2, 10, 10, 1, 2, 6, 6, 10, 10, 1, 10, 6, 10, 6, 2, 2, 10, 1, 6, 6, 6, 1, 2, 10, 10, 6, 2, 10, 2, 6, 10, 10, 1, 2, 10, 1, 2, 2, 2, 6, 1, 1, 10, 1, 10, 10, 1, 10, 10, 2, 6, 10, 1, 6, 1, 10, 2, 1, 2, 10, 10, 6, 6, 6, 2, 6, 1, 6, 10, 6, 2, 2, 10, 1, 1, 1, 2, 10, 2, 10, 1, 1, 6, 2, 1, 2, 10, 10, 1, 1, 1, 6, 4, 6, 2, 6, 10, 6, 2, 2, 10, 10, 2, 1, 10, 0, 10, 6, 1, 6, 1, 10, 6, 2, 2, 10, 1, 2, 1, 10, 1, 2, 2, 2, 2, 6, 6, 2, 6, 4, 10, 2, 6, 6, 9, 10, 10, 10, 1, 6, 1, 6, 1, 1, 6, 6, 10, 2, 2, 10, 10, 2, 6, 6, 1, 10, 1, 10, 6, 1, 6, 10, 6, 6, 10, 10, 2, 1, 10, 6, 1, 10, 1, 1, 1, 2, 10, 10, 10, 2, 1, 2, 10, 1, 2, 1, 6, 6, 2, 10, 10, 1, 6, 6, 2, 6, 2, 6, 10, 10, 2, 0, 2, 10, 0, 10, 10, 6, 10, 6, 4, 1, 6, 6, 1, 1, 1, 2, 2, 2, 2, 6, 6, 1, 1, 10, 10, 10, 5, 6, 2, 10, 6, 10, 6, 1, 10, 2, 2, 1, 2, 10, 1, 10, 1, 10, 9, 2, 2, 1, 1, 1, 2, 10, 10, 6, 1, 2, 6, 1, 2, 1, 6, 1, 6, 1, 2, 6, 1, 2, 10, 2, 1, 2, 6, 2, 10, 6, 6, 6, 1, 6, 1, 0, 1, 6, 10, 6, 6, 2, 6, 6, 10, 10, 1, 2, 10, 2, 1, 6, 10, 1, 2, 6, 2, 1, 10, 1, 9, 6, 2, 2, 2, 6, 1, 1, 6, 2, 10, 2, 2, 1, 2, 1, 1, 2, 6, 10, 1, 2, 1, 6, 10, 6, 10, 2, 10, 1, 5, 6, 2, 10, 6, 10, 2, 6, 1, 2, 10, 1, 6, 1, 1, 1, 4, 1, 6, 6, 10, 10, 10, 1, 2, 2, 10, 10, 1, 2, 2, 6, 2, 1, 2, 10, 10, 6, 2, 10, 6, 1, 2, 1, 1, 6, 1, 9, 1, 6, 1, 2, 1, 2, 1, 10, 6, 1, 6, 6, 0, 10, 6, 2, 10, 10, 1, 10, 1, 2, 6, 2, 2, 10, 10, 1, 2, 1, 10, 10, 2, 6, 1, 6, 1, 6, 2, 1, 2, 6, 1, 10, 2, 1, 1, 10, 10, 10, 10, 6, 6, 10, 6, 2, 1, 1, 2, 6, 1, 1, 10, 10, 2, 1, 6, 10, 6, 6, 6, 6, 2, 10, 2, 2, 1, 2, 2, 1, 2, 6, 2, 2, 6, 1, 6, 1, 2, 6, 1, 6, 0, 1, 1, 1, 1, 1, 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10, 1, 1, 6, 2, 6, 2, 6, 10, 1, 3, 2, 10, 6, 2, 2, 2, 10, 10, 10, 6, 6, 10, 10, 6, 1, 10, 2, 2, 10, 1, 6, 2, 10, 6, 2, 2, 10, 1, 10, 1, 6, 10, 6, 2, 6, 6, 10, 6, 10, 9, 6, 10, 2, 2, 6, 2, 1, 2, 10, 10, 6, 10, 6, 6, 10, 2, 1, 6, 1, 2, 10, 1, 1, 2, 10, 6, 2, 2, 10, 1, 6, 2, 2, 1, 2, 1, 2, 10, 1, 10, 10, 2, 1, 6, 6, 10, 9, 6, 10, 10, 1, 1, 6, 10, 10, 10, 10, 2, 0, 1, 1, 10, 6, 1, 1, 2, 6, 6, 10, 6, 10, 10, 6, 10, 10, 6, 6, 1, 2, 6, 1, 2, 10, 6, 1, 1, 10, 1, 1, 10, 1, 6, 10, 10, 10, 10, 2, 6, 2, 1, 6, 1, 6, 2, 6, 2, 2, 10, 1, 1, 1, 6, 6, 4, 6, 2, 1, 10, 2, 1, 10, 10, 2, 10, 10, 1, 1, 10, 10, 2, 6, 1, 10, 1, 1, 10, 2, 10, 6, 6, 10, 10, 10, 1, 10, 2, 10, 10, 6, 10, 10, 10, 2, 2, 10, 2, 1, 6, 6, 10, 6, 10, 10, 10, 10, 6, 2, 1, 6, 1, 1, 2, 10, 1, 6, 6, 5, 2, 1, 2, 2, 10, 1, 1, 1, 2, 6, 6, 6, 1, 10, 2, 2, 6, 1, 1, 2, 10, 10, 2, 2, 10, 2, 1, 2, 2, 1, 10, 1, 10, 6, 2, 6, 1, 1, 10, 2, 1, 4, 2, 10, 2, 10, 2, 2, 6, 10, 6, 2, 6, 6, 10, 2, 1, 6, 1, 10, 6, 2, 2, 10, 10, 10, 1, 6, 2, 6, 10, 2, 1, 10, 6, 2, 1, 2, 2, 6, 1, 10, 1, 2, 1, 10, 2, 1, 6, 1, 10, 10, 2, 6, 6, 1, 2, 6, 6, 2, 2, 6, 2, 1, 2, 6, 6, 2, 1, 2, 10, 6, 1, 6, 10, 2, 6, 6, 10, 2, 10, 6, 6, 2, 9, 10, 10, 1, 10, 10, 10, 6, 10, 1, 6, 2, 2, 2, 10, 2, 2, 2, 2, 1, 1, 6, 2, 1, 2, 1, 1, 2, 2, 1, 2, 10, 2, 2, 2, 2, 6, 2, 1, 10, 2, 10, 1, 1, 10, 1, 5, 0, 6, 1, 6, 6, 9, 10, 10, 2, 2, 6, 6, 1, 2, 1, 2, 6, 2, 2, 2, 2, 1, 10, 2, 2, 6, 10, 6, 10, 6, 10, 1, 6, 6, 6, 1, 10, 10, 6, 10, 10, 10, 1, 2, 2, 1, 1, 6, 1, 1, 6, 10, 2, 1, 4, 10, 2, 6, 1, 6, 6, 1, 6, 0, 1, 6, 1, 6, 1, 10, 1, 10, 6, 2, 2, 2, 6, 1, 2, 2, 1, 5, 1, 6, 10, 10, 2, 6, 1, 6, 6, 10, 1, 10, 6, 1, 10, 2, 10, 5, 10, 6, 2, 2, 1, 2, 2, 1, 10, 1, 2, 6, 10, 10, 5, 10, 1, 1, 6, 1, 1, 2, 1, 2, 9, 6, 2, 6, 6, 6, 1, 2, 1, 6, 10, 1, 1, 10, 1, 6, 1, 1, 1, 6, 10, 1, 1, 10, 1, 10, 6, 2, 6, 1, 6, 0, 6, 1, 2, 10, 6, 10, 1, 1, 10, 10, 2, 6, 6, 1, 6, 6, 1, 9, 6, 1, 1, 1, 6, 5, 6, 10, 10, 1, 6, 2, 6, 6, 6, 10, 0, 2, 1, 6, 10, 2, 10, 2, 2, 6, 1, 1, 10, 1, 2, 6, 10, 6, 2, 6, 1, 6, 1, 10, 1, 2, 10, 10, 10, 6, 10, 10, 2, 1, 5, 1, 2, 2, 1, 1, 10, 4, 2, 2, 10, 6, 6, 6, 0, 1, 2, 10, 10, 2, 2, 6, 10, 10, 10, 6, 2, 6, 1, 4, 2, 6, 2, 1, 1, 2, 1, 2, 1, 6, 10, 2, 6, 6, 10, 2, 2, 5, 2, 6, 6, 2, 2, 1, 6, 6, 10, 6, 1, 6, 10, 0, 6, 2, 1, 5, 2, 2, 1, 1, 10, 4, 6, 10, 2, 10, 10, 2, 1, 2, 1, 2, 6, 1, 10, 6, 2, 10, 2, 0, 10, 10, 2, 2, 10, 1, 0, 1, 2, 2, 10, 1, 1, 6, 6, 1, 1, 2, 10, 6, 10, 1, 2, 1, 2, 6, 1, 1, 2, 2, 6, 0, 2, 6, 1, 1, 10, 1, 6, 2, 1, 1, 6, 1, 10, 1, 2, 10, 1, 6, 1, 2, 1, 6, 6, 1, 1, 2, 6, 10, 1, 0, 1, 6, 6, 1, 1, 6, 10, 1, 6, 2, 2, 10, 6, 6, 2, 1, 2, 10, 10, 1, 6, 2, 10, 10, 2, 1, 2, 1, 6, 10, 10, 10, 2, 1, 2, 1, 1, 1, 10, 2, 1, 6, 1, 6, 2, 10, 2, 10, 10, 6, 1, 2, 2, 1, 10, 10, 2, 1, 1, 6, 2, 1, 1, 10, 10, 2, 1, 10, 2, 1, 1, 0, 6, 10, 6, 6, 2, 1, 2, 2, 1, 10, 2, 10, 9, 2, 1, 9, 6, 2, 2, 10, 2, 6, 10, 6, 1, 1, 2, 2, 6, 2, 2, 10, 9, 2, 6, 6, 2, 6, 10, 6, 6, 6, 10, 10, 10, 10, 2, 2, 10, 6, 6, 2, 10, 6, 2, 10, 10, 10, 10, 1, 1, 1, 1, 10, 1, 1, 10, 1, 6, 6, 10, 1, 6, 10, 1, 6, 1, 1, 10, 10, 2, 1, 6, 6, 2, 10, 2, 2, 6, 2, 6, 6, 10, 6, 5, 1, 1, 6, 2, 1, 10, 6, 2, 2, 2, 1, 6, 10, 1, 10, 1, 2, 2, 6, 2, 6, 1, 2, 2, 6, 6, 2, 6, 6, 2, 6, 2, 2, 10, 1, 10, 1, 10, 6, 1, 2, 6, 1, 1, 2, 9, 6, 1, 2, 1, 6, 2, 10, 2, 6, 2, 6, 4, 10, 10, 4, 10, 1, 1, 6, 1, 6, 2, 1, 10, 2, 10, 2, 10, 10, 4, 10, 10, 6, 6, 1, 2, 10, 1, 1, 6, 2, 1, 6, 6, 10, 2, 10, 6, 6, 6, 1, 2, 6, 6, 10, 2, 2, 2, 6, 1, 2, 1, 1, 6, 1, 10, 1, 2, 1, 9, 2, 2, 2, 6, 1, 6, 1, 2, 2, 1, 6, 10, 2, 10, 9, 0, 6, 10, 6, 10, 10, 1, 1, 2, 1, 1, 1, 10, 10, 10, 6, 6, 1, 6, 6, 2, 2, 6, 10, 1, 1, 5, 10, 2, 6, 6, 1, 1, 2, 5, 10, 1, 1, 10, 1, 2, 6, 10, 1, 6, 1, 10, 2, 6, 6, 2, 6, 6, 2, 2, 10, 10, 10, 10, 2, 2, 6, 10, 1, 10, 2, 10, 6, 10, 10, 6, 2, 6, 6, 6, 6, 1, 2, 2, 6, 6, 1, 2, 1, 2, 6, 10, 10, 2, 10, 6, 10, 10, 10, 1, 1, 6, 1, 1, 6, 2, 2, 2, 2, 1, 6, 10, 6, 10, 1, 6, 1, 1, 10, 6, 1, 2, 2, 1, 1, 10, 2, 10, 10, 0, 6, 1, 2, 10, 1, 10, 10, 2, 2, 6, 10, 2, 6, 6, 1, 6, 6, 2, 1, 1, 1, 1, 10, 1, 6, 2, 10, 9, 2, 10, 2, 2, 2, 10, 6, 1, 6, 6, 1, 10, 1, 6, 2, 6, 2, 1, 10, 2, 2, 2, 10, 2, 0, 1, 1, 10, 10, 1, 1, 1, 2, 10, 2, 10, 1, 10, 6, 6, 10, 2, 10, 1, 6, 2, 6, 1, 1, 2, 10, 1, 10, 10, 6, 9, 2, 2, 1, 10, 10, 10, 10, 10, 2, 9, 6, 10, 6, 2, 0, 1, 2, 6, 2, 1, 10, 1, 6, 6, 2, 1, 6, 2, 10, 10, 6, 10, 5, 10, 6, 1, 10, 6, 6, 10, 10, 6, 1, 6, 6, 10, 2, 1, 9, 1, 10, 10, 10, 5, 2, 2, 1, 10, 2, 10, 6, 10, 6, 1, 2, 2, 10, 10, 10, 6, 1, 10, 1, 2, 6, 2, 6, 6, 2, 10, 10, 1, 2, 2, 2, 6, 2, 2, 6, 10, 10, 1, 6, 10, 1, 2, 10, 1, 10, 6, 2, 10, 10, 6, 2, 2, 1, 1, 2, 10, 10, 10, 2, 6, 10, 2, 10, 1, 1, 6, 2, 1, 0, 2, 2, 6, 6, 10, 1, 2, 6, 1, 1, 2, 10, 1, 1, 2, 2, 2, 2, 1, 10, 6, 2, 2, 6, 10, 10, 10, 2, 2, 1, 10, 1, 2, 1, 6, 6, 2, 1, 1, 6, 6, 10, 1, 6, 6, 2, 2, 5, 6, 5, 1, 2, 1, 1, 10, 1, 6, 2, 10, 2, 10, 10, 10, 1, 6, 2, 6, 2, 0, 2, 10, 2, 10, 2, 2, 6, 6, 1, 2, 2, 1, 10, 10, 10, 6, 6, 6, 2, 1, 6, 2, 2, 2, 2, 10, 10, 5, 10, 2, 10, 1, 1, 6, 4, 2, 1, 6, 1, 1, 6, 2, 2, 1, 2, 1, 2, 6, 1, 6, 6, 6, 1, 6, 6, 1, 4, 1, 2, 10, 6, 2, 2, 2, 1, 10, 2, 10, 2, 6, 6, 6, 1, 1, 6, 6, 10, 2, 6, 2, 6, 2, 2, 1, 2, 1, 10, 10, 10, 10, 10, 1, 6, 10, 1, 2, 10, 1, 10, 0, 10, 6, 2, 10, 9, 6, 2, 2, 2, 6, 1, 1, 10, 6, 2, 6, 2, 1, 1, 2, 1, 6, 2, 2, 1, 6, 2, 10, 6, 6, 6, 6, 2, 2, 0, 10, 1, 1, 2, 6, 6, 10, 10, 1, 2, 2, 6, 10, 2, 1, 10, 1, 6, 1, 2, 10, 10, 2, 2, 6, 2, 2, 6, 2, 1, 6, 2, 10, 2, 2, 6, 2, 3, 10, 2, 10, 6, 1, 10, 9, 2, 2, 1, 5, 1, 1, 6, 10, 1, 2, 2, 6, 6, 2, 6, 6, 2, 2, 6, 1, 10, 6, 6, 6, 1, 6, 6, 1, 6, 10, 5, 10, 1, 2, 6, 10, 2, 1, 10, 6, 1, 2, 6, 1, 2, 2, 6, 2, 1, 0, 6, 6, 6, 10, 6, 6, 1, 10, 1, 10, 2, 2, 1, 2, 1, 6, 1, 10, 6, 10, 2, 2, 6, 6, 10, 2, 10, 6, 10, 6, 2, 10, 1, 2, 1, 6, 2, 1, 10, 6, 1, 2, 1, 6, 1, 10, 1, 2, 10, 2, 2, 10, 1, 6, 10, 6, 2, 2, 1, 1, 2, 2, 6, 1, 1, 6, 10, 6, 6, 6, 2, 6, 10, 2, 2, 1, 2, 6, 10, 6, 1, 2, 5, 6, 2, 6, 1, 1, 2, 2, 1, 10, 10, 6, 10, 2, 6, 2, 10, 2, 10, 6, 2, 0, 2, 6, 10, 2, 1, 2, 1, 6, 6, 10, 6, 1, 6, 6, 2, 1, 9, 1, 2, 6, 6, 10, 6, 1, 2, 6, 2, 1, 6, 1, 2, 6, 2, 2, 2, 1, 1, 1, 6, 10, 1, 2, 1, 10, 10, 10, 1, 1, 1, 1, 6, 6, 10, 6, 10, 2, 2, 10, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 1, 2, 6, 1, 2, 1, 6, 10, 1, 5, 2, 10, 6, 6, 6, 10, 1, 6, 2, 1, 6, 6, 10, 1, 2, 2, 9, 10, 1, 1, 2, 1, 6, 6, 10, 2, 6, 10, 6, 10, 10, 6, 6, 1, 1, 2, 6, 10, 1, 4, 10, 6, 2, 6, 2, 1, 10, 10, 10, 2, 1, 1, 2, 10, 2, 10, 2, 6, 1, 6, 6, 6, 9, 2, 6, 1, 1, 2, 10, 10, 10, 2, 6, 1, 6, 10, 1, 2, 10, 1, 6, 1, 10, 1, 2, 1, 1, 10, 2, 2, 4, 10, 2, 1, 1, 9, 1, 1, 6, 6, 2, 6, 2, 2, 2, 2, 10, 2, 6, 10, 10, 1, 6, 2, 2, 6, 2, 10, 2, 1, 10, 1, 1, 1, 10, 6, 10, 1, 10, 2, 0, 2, 2, 2, 6, 1, 1, 10, 1, 1, 1, 10, 10, 1, 1, 10, 2, 2, 1, 10, 6, 2, 1, 2, 10, 6, 1, 6, 10, 1, 6, 10, 1, 10, 1, 2, 2, 10, 10, 2, 6, 10, 1, 2, 10, 6, 6, 6, 1, 6, 6, 10, 10, 4, 6, 10, 10, 6, 6, 2, 6, 2, 6, 0, 6, 6, 1, 6, 1, 6, 1, 1, 10, 6, 10, 2, 10, 1, 2, 1, 2, 2, 2, 10, 1, 10, 2, 6, 2, 2, 2, 1, 1, 1, 1, 2, 10, 2, 1, 1, 6, 2, 10, 2, 6, 1, 6, 2, 6, 10, 1, 2, 6, 6, 2, 0, 2, 1, 1, 10, 1, 1, 1, 2, 1, 2, 2, 4, 1, 6, 9, 2, 10, 2, 1, 1, 1, 1, 10, 1, 2, 1, 6, 1, 10, 2, 1, 6, 6, 2, 10, 1, 10, 6, 1, 6, 2, 1, 1, 10, 10, 10, 2, 10, 4, 6, 6, 2, 10, 1, 1, 1, 1, 10, 2, 6, 1, 6, 2, 10, 10, 10, 10, 2, 2, 10, 6, 6, 1, 10, 1, 2, 6, 10, 2, 1, 6, 6, 2, 2, 6, 10, 6, 1, 6, 1, 2, 5, 10, 2, 10, 6, 2, 2, 10, 1, 2, 9, 2, 6, 6, 10, 10, 10, 2, 1, 6, 1, 2, 2, 1, 6, 6, 2, 6, 2, 6, 6, 2, 6, 10, 1, 2, 2, 10, 6, 2, 10, 6, 1, 10, 6, 10, 6, 6, 2, 1, 6, 10, 1, 2, 6, 10, 1, 2, 1, 6, 6, 10, 10, 6, 10, 2, 1, 10, 10, 1, 1, 2, 1, 2, 10, 10, 6, 2, 10, 2, 1, 6, 1, 50, 10, 6, 2, 2, 1, 2, 2, 6, 6, 6, 1, 6, 1, 6, 10, 10, 2, 2, 0, 10, 6, 2, 10, 10, 10, 10, 6, 1, 10, 2, 2, 10, 10, 1, 1, 1, 6, 10, 2, 6, 6, 2, 6, 2, 1, 6, 1, 2, 2, 2, 10, 1, 6, 1, 2, 1, 6, 1, 10, 2, 6, 2, 6, 10, 10, 2, 2, 1, 1, 1, 10, 6, 1, 6, 10, 2, 1, 6, 6, 10, 6, 2, 6, 1, 6, 8, 6, 10, 2, 10, 1, 10, 2, 10, 2, 2, 6, 6, 6, 2, 6, 10, 2, 2, 6, 1, 1, 2, 1, 6, 6, 1, 1, 10, 1, 10, 6, 1, 10, 6, 10, 1, 6, 6, 1, 6, 10, 1, 2, 2, 2, 2, 2, 10, 0, 6, 1, 1, 9, 6, 6, 2, 10, 6, 2, 0, 6, 4, 10, 2, 2, 6, 1, 6, 3, 10, 1, 1, 6, 10, 6, 1, 2, 2, 10, 2, 10, 10, 10, 6, 2, 9, 6, 6, 9, 10, 2, 1, 10, 2, 1, 6, 1, 2, 2, 6, 10, 1, 6, 10, 6, 2, 6, 1, 10, 10, 1, 1, 10, 2, 10, 10, 1, 6, 1, 10, 2, 10, 10, 1, 10, 10, 2, 10, 1, 2, 10, 2, 10, 6, 1, 2, 6, 6, 10, 10, 2, 4, 10, 1, 2, 2, 6, 2, 10, 1, 10, 1, 10, 6, 2, 10, 6, 1, 6, 6, 2, 10, 10, 10, 10, 10, 10, 2, 10, 6, 10, 1, 6, 2, 6, 0, 2, 1, 10, 2, 10, 2, 1, 6, 1, 2, 10, 6, 1, 2, 10, 2, 6, 2, 1, 2, 1, 6, 2, 10, 9, 2, 6, 1, 6, 10, 10, 10, 10, 0, 6, 2, 1, 6, 1, 2, 1, 6, 10, 2, 9, 2, 2, 6, 10, 10, 6, 10, 2, 6, 10, 10, 10, 1, 6, 2, 1, 10, 2, 0, 2, 1, 2, 2, 6, 2, 10, 6, 6, 1, 10, 6, 1, 2, 6, 10, 2, 1, 10, 2, 6, 2, 7, 1, 2, 6, 2, 1, 10, 6, 2, 10, 1, 9, 2, 10, 1, 1, 1, 1, 2, 10, 6, 1, 2, 2, 2, 10, 2, 2, 10, 10, 2, 6, 2, 10, 10, 6, 1, 2, 2, 1, 1, 2, 10, 1, 10, 2, 10, 2, 6, 2, 0, 10, 2, 10, 6, 10, 6, 6, 2, 2, 10, 2, 2, 2, 6, 10, 1, 6, 6, 10, 2, 2, 10, 10, 1, 2, 2, 6, 10, 7, 10, 2, 6, 1, 1, 2, 6, 2, 2, 1, 10, 10, 2, 10, 2, 1, 1, 6, 1, 10, 10, 6, 10, 2, 1, 6, 10, 1, 2, 10, 0, 5, 10, 6, 1, 6, 10, 6, 6, 10, 2, 1, 2, 6, 2, 6, 10, 2, 1, 10, 2, 1, 2, 10, 6, 10, 1, 6, 10, 1, 1, 0, 1, 2, 10, 6, 1, 10, 2, 1, 2, 1, 2, 6, 1, 1, 1, 1, 6, 6, 6, 6, 6, 1, 2, 10, 2, 2, 6, 2, 2, 6, 6, 6, 1, 6, 10, 6, 1, 1, 10, 10, 6, 1, 1, 6, 10, 1, 2, 10, 1, 2, 10, 6, 1, 10, 10, 6, 1, 6, 2, 1, 10, 2, 1, 2, 10, 2, 1, 1, 1, 10, 2, 10, 10, 2, 2, 10, 2, 6, 10, 2, 1, 1, 2, 10, 1, 10, 10, 6, 2, 4, 10, 10, 10, 2, 1, 10, 2, 10, 2, 6, 2, 2, 6, 6, 2, 1, 1, 2, 10, 1, 10, 10, 2, 6, 2, 6, 6, 6, 10, 10, 2, 1, 6, 10, 6, 10, 2, 10, 2, 10, 6, 6, 10, 10, 2, 6, 6, 1, 6, 0, 1, 10, 10, 6, 6, 6, 6, 1, 1, 10, 2, 6, 1, 2, 6, 2, 1, 2, 2, 2, 6, 1, 1, 10, 1, 6, 6, 10, 10, 10, 10, 4, 2, 1, 6, 6, 1, 9, 6, 2, 1, 2, 2, 2, 2, 1, 10, 6, 1, 6, 10, 2, 10, 6, 6, 6, 10, 6, 6, 1, 2, 2, 6, 6, 2, 10, 1, 6, 10, 10, 6, 10, 1, 1, 2, 6, 1, 6, 6, 6, 1, 1, 6, 10, 1, 2, 1, 6, 1, 1, 0, 1, 1, 6, 1, 2, 6, 4, 1, 2, 10, 10, 6, 10, 6, 0, 10, 0, 2, 2, 6, 6, 10, 1, 10, 10, 10, 6, 6, 1, 10, 2, 6, 10, 6, 1, 1, 1, 1, 2, 1, 10, 2, 2, 1, 0, 6, 10, 10, 6, 10, 6, 2, 2, 6, 10, 6, 6, 10, 6, 2, 1, 2, 1, 6, 10, 2, 1, 2, 2, 10, 10, 2, 1, 1, 6, 1, 6, 1, 2, 6, 1, 10, 10, 1, 6, 6, 2, 6, 10, 2, 6, 6, 1, 10, 6, 6, 2, 6, 6, 10, 10, 2, 6, 10, 1, 6, 1, 2, 2, 10, 6, 1, 1, 10, 1, 6, 1, 6, 6, 1, 10, 1, 1, 1, 10, 1, 1, 10, 1, 6, 1, 2, 10, 6, 50, 2, 2, 2, 1, 10, 10, 6, 1, 6, 2, 10, 6, 6, 6, 2, 1, 6, 6, 1, 2, 1, 10, 6, 10, 1, 0, 2, 6, 10, 1, 40, 1, 2, 10, 10, 10, 2, 2, 2, 1, 1, 2, 10, 10, 2, 10, 2, 1, 1, 2, 6, 6, 10, 10, 1, 6, 6, 1, 6, 10, 10, 2, 10, 6, 2, 1, 6, 6, 1, 10, 1, 6, 1, 2, 10, 2, 1, 10, 2, 1, 1, 6, 2, 1, 6, 1, 2, 2, 0, 2, 6, 2, 10, 0, 6, 6, 6, 1, 10, 10, 10, 1, 2, 1, 1, 10, 6, 2, 10, 2, 1, 2, 6, 1, 10, 2, 1, 6, 4, 6, 10, 2, 1, 1, 2, 6, 6, 2, 2, 10, 4, 6, 1, 6, 10, 1, 6, 6, 1, 10, 1, 2, 2, 1, 6, 2, 2, 10, 1, 1, 6, 10, 6, 10, 6, 2, 2, 10, 2, 1, 6, 10, 6, 6, 10, 10, 10, 2, 9, 10, 6, 2, 2, 6, 10, 6, 1, 6, 2, 1, 2, 2, 1, 10, 10, 6, 1, 2, 1, 1, 6, 2, 9, 1, 6, 10, 1, 10, 1, 1, 10, 2, 1, 1, 10, 1, 2, 2, 1, 1, 10, 1, 6, 9, 1, 6, 1, 2, 6, 1, 1, 6, 10, 2, 2, 10, 2, 6, 10, 6, 2, 10, 2, 2, 10, 6, 10, 10, 1, 6, 0, 6, 1, 10, 1, 6, 10, 1, 6, 6, 6, 6, 1, 2, 10, 6, 6, 10, 1, 1, 10, 2, 1, 10, 9, 10, 2, 2, 10, 2, 1, 10, 6, 1, 2, 10, 1, 10, 2, 2, 6, 9, 10, 2, 2, 6, 60, 10, 6, 1, 10, 2, 6, 10, 1, 2, 1, 10, 2, 1, 2, 6, 1, 6, 6, 10, 2, 10, 1, 6, 2, 0, 10, 10, 1, 10, 1, 4, 10, 2, 1, 6, 10, 10, 10, 10, 6, 1, 2, 10, 2, 10, 2, 6, 6, 0, 6, 10, 6, 10, 1, 6, 10, 6, 10, 2, 6, 6, 2, 6, 2, 1, 10, 1, 2, 1, 2, 10, 2, 6, 6, 1, 5, 2, 1, 2, 2, 10, 6, 1, 2, 1, 6, 1, 6, 2, 10, 1, 6, 1, 4, 1, 6, 1, 10, 2, 2, 2, 1, 6, 1, 6, 1, 10, 2, 2, 2, 10, 10, 2, 2, 6, 2, 10, 2, 2, 1, 10, 6, 6, 6, 2, 1, 6, 1, 1, 10, 2, 6, 10, 1, 2, 6, 2, 2, 0, 1, 2, 10, 1, 10, 5, 0, 10, 6, 10, 6, 6, 10, 0, 10, 1, 10, 2, 6, 1, 1, 1, 1, 2, 10, 2, 6, 10, 2, 2, 2, 10, 2, 2, 1, 2, 0, 1, 10, 2, 1, 6, 2, 10, 10, 10, 1, 6, 2, 2, 10, 6, 10, 6, 10, 6, 2, 10, 10, 10, 6, 10, 10, 4, 6, 2, 2, 2, 6, 2, 6, 6, 6, 10, 1, 2, 1, 6, 10, 6, 2, 1, 6, 10, 1, 1, 10, 10, 1, 6, 10, 10, 2, 10, 2, 2, 10, 2, 10, 6, 10, 6, 10, 2, 10, 6, 6, 10, 10, 10, 6, 10, 1, 10, 2, 10, 1, 1, 10, 6, 1, 2, 10, 6, 1, 9, 6, 2, 2, 2, 10, 1, 10, 2, 1, 10, 1, 6, 2, 1, 10, 2, 1, 1, 1, 10, 1, 6, 6, 10, 1, 1, 10, 6, 1, 10, 6, 6, 6, 1, 2, 6, 6, 1, 2, 10, 10, 1, 1, 10, 1, 1, 1, 6, 6, 2, 10, 2, 10, 10, 10, 10, 10, 10, 6, 2, 1, 2, 2, 1, 2, 2, 8, 1, 10, 10, 10, 2, 1, 2, 2, 1, 10, 1, 10, 6, 1, 2, 2, 2, 6, 10, 1, 2, 6, 1, 10, 10, 2, 10, 2, 6, 10, 6, 10, 4, 10, 1, 1, 10, 2, 2, 6, 1, 1, 2, 1, 6, 10, 1, 6, 2, 1, 6, 2, 1, 10, 2, 1, 10, 10, 1, 6, 1, 10, 10, 2, 2, 1, 2, 1, 5, 6, 1, 10, 2, 1, 10, 6, 2, 2, 6, 2, 1, 10, 6, 10, 2, 6, 2, 10, 1, 1, 2, 10, 2, 6, 1, 10, 1, 5, 1, 6, 10, 10, 2, 6, 1, 10, 6, 10, 6, 2, 10, 2, 2, 6, 10, 6, 10, 2, 5, 6, 10, 1, 2, 6, 2, 1, 6, 10, 4, 1, 1, 2, 2, 6, 2, 10, 6, 2, 6, 6, 10, 6, 6, 1, 2, 10, 10, 2, 2, 1, 2, 6, 1, 2, 5, 2, 6, 0, 6, 1, 6, 1, 1, 2, 1, 1, 9, 6, 10, 1, 10, 2, 2, 6, 1, 10, 10, 10, 6, 1, 6, 2, 10, 2, 6, 6, 10, 1, 10, 2, 6, 6, 6, 1, 10, 10, 2, 10, 10, 1, 2, 6, 6, 1, 6, 6, 1, 10, 1, 6, 1, 1, 10, 2, 1, 6, 6, 2, 10, 1, 1, 10, 6, 2, 2, 6, 2, 2, 2, 6, 10, 10, 1, 2, 6, 1, 6, 6, 6, 1, 6, 10, 1, 10, 2, 1, 2, 6, 1, 6, 6, 1, 0, 6, 6, 1, 10, 6, 1, 10, 10, 10, 6, 6, 10, 1, 2, 6, 1, 2, 1, 6, 2, 10, 10, 10, 1, 1, 6, 1, 10, 9, 2, 1, 6, 2, 10, 6, 1, 2, 10, 10, 6, 2, 2, 10, 2, 2, 2, 6, 5, 1, 1, 2, 10, 2, 6, 10, 10, 10, 6, 10, 2, 2, 6, 1, 6, 6, 10, 10, 6, 1, 6, 10, 1, 2, 10, 6, 2, 2, 10, 1, 2, 1, 2, 6, 2, 10, 10, 10, 6, 2, 2, 1, 9, 6, 6, 2, 1, 10, 0, 1, 2, 6, 1, 1, 1, 1, 6, 1, 1, 1, 6, 2, 10, 6, 2, 10, 2, 10, 1, 2, 5, 6, 2, 1, 6, 10, 1, 9, 1, 1, 10, 6, 10, 10, 10, 6, 2, 1, 2, 10, 1, 1, 2, 2, 10, 6, 2, 6, 10, 10, 1, 2, 2, 2, 0, 6, 2, 2, 10, 10, 6, 6, 1, 10, 2, 2, 6, 10, 6, 1, 6, 6, 2, 6, 2, 6, 1, 10, 2, 1, 10, 6, 1, 1, 2, 2, 1, 1, 6, 10, 6, 1, 6, 50, 10, 10, 1, 1, 6, 10, 10, 6, 1, 2, 10, 6, 2, 2, 1, 10, 1, 10, 1, 2, 2, 1, 10, 10, 10, 10, 10, 6, 10, 6, 10, 10, 6, 1, 2, 2, 1, 2, 2, 10, 2, 1, 10, 1, 10, 2, 1, 10, 6, 6, 6, 2, 10, 6, 6, 6, 1, 6, 10, 2, 10, 10, 10, 1, 2, 2, 6, 2, 6, 2, 1, 2, 2, 2, 2, 2, 2, 2, 6, 5, 1, 2, 2, 2, 9, 1, 1, 6, 10, 10, 1, 10, 1, 2, 6, 10, 1, 1, 1, 10, 10, 2, 10, 1, 10, 6, 2, 2, 5, 6, 6, 6, 6, 10, 2, 2, 0, 10, 10, 6, 10, 6, 6, 6, 6, 2, 2, 6, 2, 2, 2, 6, 1, 6, 1, 1, 2, 1, 2, 1, 6, 6, 1, 6, 1, 6, 6, 1, 1, 10, 1, 10, 2, 10, 10, 2, 2, 1, 10, 6, 1, 10, 10, 5, 1, 10, 1, 2, 6, 6, 1, 1, 2, 1, 2, 2, 6, 10, 2, 6, 6, 1, 2, 2, 6, 6, 6, 1, 2, 1, 6, 1, 10, 1, 10, 1, 2, 1, 10, 6, 1, 1, 0, 6, 2, 1, 6, 2, 6, 10, 10, 6, 10, 6, 2, 10, 2, 0, 2, 6, 10, 10, 2, 2, 6, 6, 2, 2, 2, 1, 2, 6, 1, 2, 6, 6, 1, 1, 1, 6, 1, 0, 2, 10, 1, 10, 6, 2, 1, 6, 6, 9, 2, 2, 6, 6, 1, 10, 10, 6, 2, 1, 2, 6, 6, 1, 10, 1, 6, 2, 6, 10, 1, 6, 10, 10, 6, 1, 6, 6, 6, 2, 6, 2, 1, 6, 2, 6, 2, 10, 2, 2, 1, 1, 2, 6, 2, 2, 1, 1, 2, 6, 2, 6, 6, 10, 10, 6, 2, 6, 2, 2, 1, 2, 6, 2, 2, 4, 6, 10, 1, 6, 2, 10, 2, 10, 6, 6, 10, 2, 10, 10, 6, 10, 10, 1, 6, 10, 2, 6, 2, 10, 6, 6, 2, 2, 2, 1, 10, 4, 10, 6, 2, 2, 6, 1, 6, 10, 10, 10, 2, 6, 6, 6, 10, 10, 1, 6, 10, 10, 1, 1, 1, 2, 1, 10, 10, 2, 9, 10, 10, 2, 1, 6, 6, 10, 6, 2, 2, 10, 1, 2, 10, 10, 10, 2, 10, 10, 2, 2, 4, 6, 2, 10, 6, 1, 6, 10, 10, 6, 4, 6, 9, 10, 10, 8, 6, 6, 10, 2, 2, 1, 1, 10, 6, 6, 2, 6, 1, 10, 10, 2, 6, 2, 1, 10, 1, 1, 10, 1, 2, 1, 6, 6, 1, 1, 1, 2, 1, 10, 9, 2, 1, 6, 1, 6, 2, 2, 1, 2, 10, 1, 10, 10, 10, 10, 2, 6, 10, 10, 2, 1, 6, 10, 6, 10, 6, 10, 2, 2, 10, 2, 10, 1, 10, 10, 2, 2, 6, 1, 1, 6, 6, 2, 6, 6, 2, 10, 1, 10, 8, 10, 10, 10, 10, 1, 6, 6, 6, 2, 2, 2, 2, 2, 1, 2, 6, 10, 10, 10, 2, 2, 10, 4, 10, 2, 1, 10, 1, 6, 2, 2, 10, 2, 10, 10, 1, 6, 10, 2, 6, 6, 1, 10, 6, 6, 2, 10, 2, 2, 1, 2, 6, 2, 10, 10, 10, 6, 2, 2, 1, 2, 2, 1, 1, 10, 2, 1, 10, 1, 2, 2, 6, 6, 6, 1, 1, 2, 10, 2, 2, 1, 6, 1, 1, 10, 1, 2, 1, 1, 10, 10, 9, 10, 6, 2, 1, 1, 1, 6, 2, 6, 1, 1, 1, 10, 10, 6, 1, 2, 6, 6, 1, 1, 10, 1, 6, 10, 6, 6, 1, 2, 6, 0, 1, 2, 1, 2, 6, 2, 1, 2, 6, 2, 2, 10, 6, 1, 2, 10, 10, 2, 2, 1, 6, 10, 1, 6, 2, 10, 1, 10, 6, 1, 2, 2, 2, 10, 6, 1, 10, 6, 1, 2, 2, 1, 1, 10, 10, 2, 5, 10, 10, 2, 1, 10, 6, 4, 2, 2, 2, 2, 1, 6, 2, 1, 10, 6, 6, 4, 10, 6, 10, 1, 6, 1, 10, 10, 2, 10, 2, 1, 2, 2, 2, 10, 10, 2, 10, 10, 6, 6, 2, 1, 10, 10, 6, 6, 10, 6, 10, 2, 6, 1, 2, 2, 10, 10, 2, 1, 6, 6, 10, 10, 6, 10, 2, 1, 1, 1, 2, 6, 10, 6, 6, 9, 10, 2, 10, 6, 2, 4, 10, 2, 10, 10, 1, 2, 1, 10, 2, 1, 2, 2, 1, 2, 1, 6, 6, 1, 6, 2, 2, 6, 1, 6, 1, 6, 1, 10, 1, 1, 6, 2, 1, 2, 2, 10, 2, 1, 2, 10, 1, 1, 10, 2, 10, 10, 1, 1, 1, 2, 2, 2, 0, 10, 10, 10, 10, 2, 6, 10, 2, 2, 6, 0, 1, 1, 1, 6, 2, 10, 2, 6, 6, 1, 2, 6, 10, 2, 1, 6, 6, 6, 2, 10, 10, 1, 6, 1, 2, 1, 10, 6, 1, 1, 2, 2, 1, 10, 2, 2, 5, 6, 6, 1, 2, 6, 6, 2, 10, 10, 6, 2, 10, 6, 10, 2, 2, 1, 2, 2, 6, 40, 1, 2, 6, 10, 10, 2, 6, 10, 5, 6, 2, 10, 10, 1, 1, 10, 9, 2, 1, 1, 10, 2, 1, 1, 2, 6, 1, 6, 2, 2, 10, 1, 1, 6, 1, 1, 2, 2, 1, 10, 2, 6, 1, 1, 5, 1, 1, 6, 6, 1, 2, 6, 10, 6, 10, 6, 2, 2, 6, 2, 1, 2, 1, 6, 1, 1, 2, 6, 6, 10, 1, 6, 6, 10, 2, 10, 10, 1, 6, 2, 6, 6, 1, 6, 2, 10, 2, 1, 10, 6, 1, 1, 1, 9, 6, 1, 10, 1, 2, 2, 2, 1, 2, 6, 1, 10, 2, 2, 6, 2, 10, 2, 1, 1, 1, 10, 6, 2, 2, 2, 6, 2, 2, 6, 1, 10, 1, 10, 6, 1, 2, 2, 6, 2, 10, 2, 2, 1, 2, 6, 2, 1, 6, 6, 1, 10, 1, 6, 10, 10, 6, 1, 6, 10, 1, 1, 1, 10, 6, 2, 10, 1, 10, 2, 10, 6, 1, 10, 9, 6, 6, 10, 1, 6, 1, 6, 1, 1, 9, 2, 10, 2, 0, 2, 2, 10, 10, 2, 6, 1, 2, 2, 10, 1, 1, 1, 1, 1, 2, 10, 1, 2, 10, 1, 6, 6, 10, 2, 10, 2, 10, 6, 2, 2, 2, 8, 2, 6, 6, 1, 2, 2, 10, 10, 1, 2, 10, 10, 2, 6, 6, 2, 10, 2, 10, 2, 10, 2, 1, 10, 2, 2, 2, 10, 6, 1, 2, 2, 10, 10, 6, 2, 6, 10, 1, 10, 6, 6, 10, 1, 6, 2, 1, 10, 2, 1, 6, 10, 2, 6, 6, 6, 2, 6, 6, 2, 10, 6, 1, 10, 10, 6, 2, 10, 10, 1, 10, 6, 1, 10, 7, 6, 10, 1, 2, 10, 10, 1, 2, 6, 1, 10, 2, 1, 10, 10, 1, 10, 1, 6, 1, 10, 10, 10, 10, 6, 10, 1, 2, 10, 2, 5, 2, 6, 2, 1, 2, 1, 2, 10, 6, 5, 10, 2, 2, 1, 10, 6, 2, 8, 6, 6, 6, 10, 10, 2, 10, 10, 2, 1, 1, 1, 10, 2, 1, 10, 2, 2, 10, 2, 2, 2, 2, 10, 6, 4, 2, 6, 1, 6, 0, 1, 1, 6, 10, 1, 6, 6, 1, 1, 2, 1, 1, 2, 6, 1, 10, 1, 0, 1, 1, 10, 2, 10, 2, 6, 1, 1, 1, 6, 6, 6, 10, 1, 10, 6, 6, 2, 10, 10, 1, 6, 6, 1, 6, 1, 10, 6, 0, 1, 10, 2, 1, 2, 1, 2, 6, 6, 1, 10, 2, 6, 2, 2, 1, 1, 10, 1, 2, 6, 6, 10, 6, 5, 1, 10, 2, 2, 10, 10, 1, 1, 2, 1, 1, 1, 2, 10, 2, 4, 6, 2, 10, 6, 2, 2, 10, 9, 2, 6, 2, 6, 2, 10, 1, 2, 2, 10, 10, 1, 2, 6, 6, 1, 1, 6, 6, 10, 6, 2, 10, 10, 1, 6, 2, 6, 2, 1, 2, 10, 6, 1, 10, 1, 1, 10, 6, 1, 2, 10, 2, 6, 6, 6, 1, 1, 2, 6, 10, 6, 1, 6, 2, 10, 1, 10, 10, 1, 9, 6, 6, 6, 10, 10, 1, 2, 10, 2, 0, 10, 1, 10, 6, 2, 10, 6, 6, 1, 6, 1, 10, 9, 1, 9, 2, 10, 2, 1, 10, 2, 10, 6, 2, 1, 6, 6, 2, 6, 10, 6, 6, 1, 10, 10, 1, 6, 6, 2, 6, 6, 1, 6, 10, 2, 6, 2, 1, 2, 6, 10, 6, 6, 10, 6, 6, 10, 1, 10, 10, 1, 10, 10, 2, 6, 2, 6, 0, 10, 1, 10, 10, 2, 2, 1, 6, 2, 6, 6, 4, 10, 2, 2, 6, 1, 6, 1, 6, 2, 10, 1, 6, 1, 10, 6, 6, 6, 1, 1, 10, 1, 6, 2, 10, 1, 10, 6, 10, 10, 10, 10, 5, 10, 6, 6, 0, 6, 10, 1, 2, 1, 10, 10, 1, 6, 6, 2, 2, 6, 10, 2, 10, 1, 10, 10, 10, 10, 2, 10, 10, 1, 1, 1, 6, 2, 10, 2, 6, 1, 1, 6, 2, 6, 10, 6, 1, 2, 2, 6, 1, 10, 6, 10, 6, 10, 10, 6, 6, 6, 2, 4, 1, 2, 1, 10, 1, 6, 10, 2, 6, 2, 1, 6, 10, 6, 2, 1, 2, 2, 2, 10, 10, 10, 6, 1, 6, 1, 2, 10, 2, 4, 10, 10, 10, 2, 2, 2, 2, 2, 6, 1, 6, 1, 6, 9, 1, 1, 1, 10, 2, 6, 1, 10, 6, 10, 2, 2, 2, 2, 10, 1, 6, 1, 1, 1, 10, 1, 10, 1, 10, 2, 10, 6, 2, 6, 2, 1, 2, 6, 6, 2, 2, 6, 1, 6, 2, 2, 10, 1, 1, 1, 2, 10, 1, 6, 2, 10, 2, 6, 1, 2, 50, 1, 6, 1, 2, 10, 10, 1, 2, 6, 1, 6, 1, 1, 6, 10, 6, 6, 2, 1, 2, 9, 1, 10, 6, 1, 10, 6, 2, 2, 1, 1, 6, 6, 6, 10, 10, 10, 10, 10, 6, 2, 6, 1, 2, 1, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 6, 2, 1, 2, 10, 1, 6, 10, 1, 2, 10, 1, 1, 1, 6, 2, 1, 2, 2, 2, 2, 6, 6, 10, 4, 6, 10, 6, 6, 2, 10, 2, 1, 1, 6, 10, 10, 1, 1, 2, 6, 6, 1, 6, 10, 1, 10, 2, 10, 6, 10, 6, 1, 10, 1, 6, 10, 2, 10, 1, 6, 1, 10, 10, 10, 1, 10, 10, 1, 6, 2, 6, 10, 1, 6, 10, 1, 10, 10, 1, 1, 1, 10, 2, 6, 5, 1, 10, 1, 6, 1, 10, 6, 9, 2, 10, 1, 1, 1, 6, 6, 6, 2, 6, 2, 10, 10, 6, 6, 10, 10, 2, 10, 1, 6, 10, 1, 2, 2, 6, 1, 2, 6, 6, 6, 1, 2, 5, 10, 1, 1, 10, 10, 10, 6, 1, 6, 6, 10, 6, 6, 1, 10, 2, 1, 1, 6, 6, 1, 10, 1, 2, 10, 1, 1, 10, 10, 6, 10, 1, 6, 2, 10, 6, 10, 1, 10, 6, 1, 1, 6, 6, 10, 2, 1, 10, 1, 1, 1, 10, 2, 1, 2, 2, 2, 6, 1, 6, 2, 6, 10, 10, 6, 10, 2, 6, 9, 1, 6, 2, 10, 6, 6, 10, 2, 0, 10, 1, 6, 2, 6, 2, 2, 6, 2, 1, 9, 10, 2, 6, 2, 2, 1, 6, 10, 10, 10, 10, 1, 6, 2, 10, 10, 2, 1, 2, 10, 6, 1, 6, 2, 10, 2, 2, 1, 1, 6, 2, 6, 10, 6, 2, 2, 1, 2, 6, 1, 10, 10, 6, 1, 6, 2, 2, 6, 10, 10, 10, 5, 6, 6, 2, 1, 6, 9, 2, 6, 6, 2, 1, 1, 10, 2, 1, 6, 2, 1, 1, 2, 1, 6, 6, 1, 1, 10, 1, 1, 1, 10, 10, 10, 2, 6, 2, 2, 2, 2, 1, 10, 2, 10, 10, 10, 6, 6, 2, 1, 10, 1, 1, 2, 1, 9, 10, 10, 6, 2, 2, 6, 10, 10, 10, 2, 6, 2, 10, 6, 10, 6, 6, 6, 3, 10, 6, 2, 10, 6, 6, 6, 6, 10, 2, 1, 6, 6, 10, 10, 1, 2, 10, 2, 1, 6, 1, 10, 6, 6, 10, 10, 10, 10, 2, 1, 1, 2, 2, 6, 6, 1, 10, 2, 2, 10, 1, 2, 6, 10, 10, 2, 6, 2, 10, 2, 2, 10, 1, 6, 10, 6, 10, 1, 10, 10, 1, 10, 1, 10, 1, 6, 1, 10, 10, 6, 6, 10, 6, 6, 2, 10, 6, 1, 10, 2, 10, 6, 2, 1, 2, 6, 1, 5, 10, 1, 2, 6, 2, 6, 10, 6, 2, 1, 2, 1, 2, 1, 6, 10, 9, 1, 6, 10, 10, 1, 10, 6, 2, 6, 1, 10, 1, 10, 2, 10, 2, 2, 10, 2, 1, 1, 2, 1, 2, 9, 2, 6, 1, 6, 2, 6, 1, 6, 10, 1, 10, 1, 6, 1, 2, 10, 10, 6, 10, 10, 10, 1, 6, 6, 6, 2, 1, 6, 1, 1, 10, 1, 10, 1, 6, 1, 6, 1, 10, 10, 2, 1, 1, 2, 6, 10, 6, 5, 10, 10, 1, 6, 6, 2, 6, 10, 10, 10, 2, 2, 6, 1, 10, 6, 1, 6, 2, 10, 10, 2, 1, 2, 6, 1, 6, 10, 6, 10, 6, 10, 6, 10, 10, 1, 6, 10, 1, 6, 6, 2, 1, 10, 6, 10, 10, 6, 10, 10, 7, 1, 1, 10, 6, 1, 6, 2, 1, 1, 6, 6, 6, 2, 10, 1, 6, 6, 6, 2, 1, 1, 1, 1, 10, 0, 6, 4, 2, 10, 10, 2, 1, 10, 10, 10, 6, 6, 6, 10, 10, 2, 6, 2, 6, 1, 6, 6, 1, 6, 10, 6, 1, 1, 2, 2, 2, 6, 6, 10, 2, 2, 10, 2, 1, 6, 6, 10, 2, 1, 2, 1, 2, 6, 2, 2, 6, 6, 6, 10, 6, 10, 2, 10, 2, 10, 2, 6, 1, 6, 6, 6, 1, 1, 1, 10, 10, 1, 6, 6, 2, 10, 1, 1, 6, 10, 2, 1, 1, 1, 6, 1, 1, 2, 6, 1, 9, 6, 10, 2, 6, 10, 1, 10, 6, 4, 6, 1, 2, 2, 2, 10, 10, 1, 10, 10, 2, 1, 1, 10, 6, 6, 1, 2, 10, 6, 2, 6, 2, 1, 1, 2, 10, 1, 1, 6, 1, 10, 9, 2, 10, 6, 5, 2, 10, 1, 10, 10, 2, 10, 1, 10, 10, 6, 2, 2, 10, 10, 10, 1, 1, 6, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 10, 1, 2, 6, 6, 1, 10, 2, 6, 10, 2, 2, 1, 1, 10, 1, 1, 6, 6, 6, 1, 1, 10, 10, 10, 4, 6, 6, 6, 6, 2, 2, 1, 1, 1, 1, 6, 6, 2, 1, 6, 1, 2, 1, 1, 1, 6, 6, 6, 10, 2, 1, 2, 2, 10, 10, 6, 6, 2, 10, 1, 1, 10, 6, 2, 6, 6, 1, 6, 2, 1, 1, 2, 1, 6, 1, 6, 2, 1, 2, 10, 1, 10, 6, 6, 2, 5, 2, 2, 1, 10, 2, 6, 2, 10, 2, 1, 2, 10, 10, 6, 6, 1, 1, 10, 6, 10, 1, 10, 1, 6, 6, 6, 10, 2, 1, 10, 6, 6, 2, 2, 2, 10, 2, 1, 1, 10, 10, 1, 6, 6, 2, 2, 2, 1, 2, 1, 1, 1, 2, 6, 10, 6, 10, 2, 6, 2, 1, 2, 2, 1, 6, 6, 6, 6, 6, 10, 1, 2, 10, 2, 6, 4, 2, 2, 6, 2, 1, 6, 10, 10, 10, 10, 7, 10, 10, 10, 1, 6, 1, 0, 10, 6, 6, 1, 10, 1, 1, 10, 10, 6, 1, 2, 1, 1, 1, 6, 1, 6, 1, 10, 10, 2, 2, 1, 2, 10, 2, 10, 6, 1, 6, 1, 6, 1, 6, 10, 2, 1, 1, 2, 6, 1, 1, 2, 2, 2, 1, 6, 1, 1, 10, 10, 1, 6, 2, 2, 1, 0, 6, 2, 6, 10, 1, 6, 1, 0, 10, 1, 2, 2, 6, 1, 1, 1, 2, 10, 2, 1, 10, 1, 1, 1, 2, 10, 6, 10, 2, 2, 10, 6, 1, 10, 10, 6, 1, 2, 6, 1, 9, 10, 1, 2, 6, 2, 2, 6, 2, 6, 2, 1, 10, 10, 6, 1, 2, 2, 6, 2, 6, 6, 2, 6, 6, 10, 1, 6, 2, 1, 10, 1, 2, 1, 6, 6, 1, 1, 1, 10, 5, 2, 2, 10, 10, 2, 1, 1, 1, 10, 2, 4, 10, 10, 10, 10, 1, 2, 2, 1, 1, 1, 10, 2, 10, 9, 2, 2, 6, 1, 2, 2, 2, 2, 1, 2, 1, 2, 10, 6, 1, 1, 2, 2, 10, 6, 10, 1, 10, 1, 4, 1, 2, 10, 1, 0, 10, 1, 6, 2, 6, 1, 10, 4, 2, 5, 2, 10, 1, 6, 2, 6, 1, 6, 2, 0, 10, 6, 10, 5, 6, 6, 6, 6, 6, 10, 6, 5, 1, 2, 1, 10, 10, 2, 6, 2, 10, 6, 2, 6, 10, 2, 2, 10, 1, 1, 6, 2, 1, 1, 10, 2, 1, 6, 10, 1, 6, 6, 2, 10, 2, 6, 2, 6, 2, 1, 1, 1, 1, 4, 6, 6, 6, 1, 6, 2, 10, 10, 6, 1, 10, 6, 1, 6, 10, 1, 2, 6, 6, 2, 6, 1, 1, 2, 6, 1, 6, 1, 1, 6, 2, 1, 10, 1, 2, 6, 1, 10, 2, 2, 2, 2, 2, 2, 6, 10, 1, 1, 1, 2, 10, 6, 2, 1, 2, 1, 1, 6, 10, 6, 2, 10, 2, 1, 6, 1, 10, 10, 1, 9, 6, 1, 6, 1, 6, 1, 1, 10, 2, 6, 6, 10, 2, 6, 2, 10, 10, 2, 2, 2, 1, 2, 2, 6, 10, 1, 1, 2, 2, 6, 6, 6, 10, 1, 1, 2, 6, 6, 6, 6, 2, 9, 10, 6, 2, 10, 2, 2, 6, 2, 2, 1, 2, 1, 6, 6, 2, 6, 6, 2, 6, 10, 10, 2, 6, 2, 10, 10, 1, 10, 6, 5, 4, 1, 10, 10, 1, 6, 1, 1, 2, 10, 6, 6, 10, 10, 6, 5, 1, 1, 6, 2, 2, 1, 1, 6, 2, 6, 6, 10, 6, 7, 2, 6, 6, 2, 6, 6, 2, 2, 5, 1, 6, 10, 2, 10, 2, 1, 2, 10, 1, 6, 10, 6, 6, 6, 10, 10, 10, 6, 6, 6, 1, 6, 6, 10, 10, 1, 1, 10, 1, 2, 6, 1, 2, 1, 10, 10, 1, 1, 10, 1, 10, 10, 1, 6, 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1, 1, 2, 1, 0, 50, 6, 6, 1, 2, 1, 6, 2, 2, 2, 1, 6, 6, 10, 10, 2, 1, 6, 10, 1, 1, 10, 2, 6, 6, 6, 6, 1, 2, 6, 6, 10, 1, 10, 2, 6, 2, 6, 2, 1, 1, 1, 1, 1, 1, 10, 1, 6, 2, 9, 1, 2, 10, 10, 2, 2, 6, 1, 2, 10, 6, 1, 1, 1, 10, 6, 2, 2, 1, 1, 1, 10, 2, 6, 1, 6, 2, 6, 10, 1, 6, 1, 2, 2, 1, 10, 2, 6, 2, 10, 4, 1, 10, 1, 2, 1, 1, 2, 10, 6, 2, 1, 10, 6, 6, 10, 2, 2, 10, 2, 10, 6, 6, 1, 1, 6, 6, 10, 1, 4, 1, 2, 10, 6, 1, 2, 2, 2, 10, 4, 2, 10, 10, 10, 6, 1, 10, 1, 2, 2, 2, 10, 6, 10, 6, 6, 10, 10, 2, 2, 6, 6, 1, 1, 10, 2, 10, 6, 2, 6, 2, 10, 6, 6, 1, 6, 6, 10, 6, 6, 1, 10, 10, 1, 1, 1, 10, 2, 1, 2, 2, 2, 1, 10, 1, 2, 1, 10, 0, 2, 6, 2, 1, 6, 6, 10, 6, 6, 6, 10, 1, 2, 10, 1, 2, 1, 2, 6, 4, 6, 6, 1, 1, 10, 1, 10, 9, 6, 10, 2, 10, 5, 1, 1, 10, 6, 10, 2, 6, 1, 6, 1, 1, 6, 1, 6, 6, 2, 2, 2, 6, 1, 1, 2, 6, 1, 1, 2, 2, 6, 6, 6, 10, 5, 2, 2, 2, 6, 2, 6, 1, 2, 2, 10, 10, 10, 2, 1, 10, 2, 2, 6, 1, 10, 6, 2, 1, 2, 2, 2, 6, 1, 10, 10, 10, 10, 9, 1, 10, 2, 10, 1, 6, 10, 10, 6, 1, 10, 2, 10, 2, 6, 10, 10, 1, 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4, 1, 1, 6, 1, 6, 6, 10, 6, 2, 10, 1, 1, 1, 10, 6, 10, 2, 5, 6, 6, 1, 1, 1, 6, 6, 1, 2, 1, 10, 6, 2, 6, 2, 2, 10, 6, 1, 2, 1, 10, 6, 6, 2, 10, 6, 2, 6, 6, 1, 4, 1, 2, 6, 6, 6, 1, 2, 10, 6, 1, 10, 10, 1, 1, 6, 10, 1, 5, 5, 6, 6, 0, 1, 10, 2, 1, 10, 10, 10, 6, 6, 10, 2, 2, 2, 6, 2, 6, 2, 4, 10, 6, 2, 10, 2, 10, 10, 6, 1, 10, 10, 10, 1, 2, 6, 10, 6, 1, 6, 6, 10, 2, 1, 1, 1, 6, 1, 2, 4, 10, 6, 6, 1, 1, 6, 1, 6, 1, 10, 5, 1, 10, 2, 10, 1, 6, 6, 1, 6, 10, 6, 2, 10, 1, 1, 10, 10, 10, 10, 10, 6, 1, 10, 6, 2, 10, 10, 2, 2, 1, 1, 6, 6, 6, 2, 10, 2, 6, 6, 6, 1, 9, 6, 6, 6, 6, 2, 6, 4, 1, 2, 1, 10, 10, 6, 1, 6, 1, 2, 10, 10, 6, 1, 2, 1, 9, 1, 1, 6, 1, 1, 4, 10, 10, 6, 10, 0, 10, 6, 10, 1, 6, 6, 6, 10, 6, 2, 6, 10, 1, 2, 1, 2, 6, 6, 1, 6, 2, 6, 9, 6, 1, 2, 2, 1, 1, 1, 2, 10, 6, 10, 6, 1, 0, 1, 10, 10, 2, 6, 6, 10, 6, 2, 6, 10, 2, 6, 2, 2, 2, 2, 6, 10, 2, 6, 1, 2, 6, 2, 6, 6, 1, 2, 2, 10, 2, 1, 4, 6, 1, 10, 6, 1, 6, 1, 6, 1, 2, 6, 6, 6, 1, 10, 2, 6, 10, 2, 2, 2, 10, 1, 6, 1, 1, 6, 10, 6, 10, 1, 6, 10, 1, 2, 10, 4, 6, 10, 6, 2, 10, 2, 10, 1, 2, 1, 10, 6, 2, 1, 1, 10, 1, 1, 10, 2, 1, 6, 1, 1, 10, 10, 1, 2, 6, 2, 6, 6, 9, 10, 10, 2, 1, 6, 10, 10, 1, 10, 10, 2, 6, 6, 2, 1, 2, 6, 1, 1, 1, 6, 6, 10, 6, 1, 10, 1, 10, 10, 10, 6, 6, 1, 2, 5, 10, 10, 6, 10, 10, 1, 10, 10, 2, 6, 10, 10, 6, 6, 6, 4, 1, 6, 6, 2, 10, 1, 6, 10, 6, 0, 1, 10, 2, 10, 10, 6, 1, 2, 1, 10, 1, 6, 2, 1, 1, 2, 10, 10, 1, 6, 6, 1, 2, 6, 2, 10, 1, 10, 6, 1, 2, 6, 1, 6, 1, 6, 6, 2, 2, 6, 10, 1, 2, 2, 10, 2, 6, 10, 2, 1, 10, 6, 10, 10, 2, 1, 10, 1, 1, 10, 10, 10, 10, 10, 10, 10, 10, 6, 2, 2, 4, 6, 2, 6, 10, 2, 2, 1, 9, 6, 6, 10, 6, 10, 6, 10, 6, 1, 0, 2, 2, 1, 2, 6, 7, 2, 1, 1, 10, 6, 2, 2, 1, 6, 2, 2, 10, 9, 6, 1, 6, 2, 1, 1, 10, 2, 1, 10, 1, 1, 6, 5, 6, 2, 10, 1, 2, 1, 1, 10, 6, 1, 6, 2, 2, 1, 6, 2, 1, 6, 6, 10, 6, 6, 2, 6, 10, 1, 1, 2, 0, 1, 10, 10, 6, 1, 1, 2, 6, 2, 2, 1, 10, 1, 2, 1, 2, 6, 1, 1, 1, 2, 10, 6, 1, 1, 10, 1, 2, 10, 1, 10, 2, 6, 2, 10, 2, 10, 10, 1, 6, 2, 1, 6, 10, 1, 6, 10, 10, 2, 2, 1, 2, 10, 1, 6, 1, 6, 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10, 2, 6, 10, 2, 10, 10, 2, 1, 1, 1, 6, 10, 10, 10, 1, 1, 6, 1, 2, 1, 2, 6, 1, 9, 6, 1, 4, 2, 1, 2, 10, 1, 1, 2, 2, 1, 10, 1, 6, 6, 6, 10, 1, 10, 6, 2, 1, 2, 10, 2, 2, 2, 1, 1, 10, 6, 1, 2, 10, 1, 10, 6, 6, 6, 10, 6, 10, 10, 5, 10, 10, 2, 6, 1, 10, 9, 2, 6, 1, 6, 10, 1, 10, 10, 10, 2, 6, 10, 2, 1, 10, 6, 10, 2, 6, 1, 1, 2, 10, 10, 6, 10, 9, 1, 6, 10, 6, 2, 6, 2, 2, 1, 2, 1, 1, 6, 2, 1, 1, 10, 2, 2, 2, 6, 6, 5, 5, 1, 10, 1, 2, 0, 10, 1, 6, 2, 1, 1, 6, 6, 10, 1, 1, 10, 1, 2, 1, 0, 2, 2, 10, 10, 1, 10, 10, 6, 2, 1, 6, 1, 6, 6, 1, 10, 6, 2, 2, 10, 6, 10, 6, 1, 1, 10, 1, 10, 2, 2, 6, 2, 1, 10, 2, 6, 1, 10, 2, 1, 10, 1, 6, 1, 10, 1, 10, 2, 2, 10, 1, 2, 2, 6, 6, 6, 10, 10, 2, 2, 6, 2, 6, 10, 10, 2, 6, 10, 6, 6, 10, 2, 6, 10, 2, 7, 2, 10, 4, 2, 6, 10, 2, 2, 4, 10, 1, 6, 1, 6, 2, 1, 2, 1, 1, 10, 6, 2, 6, 1, 10, 10, 6, 6, 2, 6, 10, 1, 1, 10, 2, 2, 10, 10, 2, 9, 2, 2, 6, 6, 0, 2, 1, 1, 6, 10, 10, 2, 6, 10, 1, 10, 10, 1, 6, 4, 10, 2, 4, 6, 6, 10, 6, 6, 6, 10, 2, 10, 10, 10, 10, 2, 10, 2, 1, 1, 10, 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6, 6, 10, 10, 1, 4, 6, 2, 2, 2, 10, 9, 1, 10, 6, 9, 4, 1, 10, 6, 1, 2, 2, 1, 6, 2, 2, 1, 10, 1, 6, 2, 2, 2, 2, 10, 10, 6, 6, 6, 2, 10, 10, 10, 2, 6, 2, 2, 6, 2, 6, 6, 1, 10, 10, 1, 6, 2, 1, 10, 1, 1, 6, 1, 10, 2, 1, 1, 10, 2, 6, 2, 4, 1, 2, 6, 6, 2, 1, 10, 2, 2, 6, 10, 10, 10, 6, 2, 6, 1, 1, 1, 2, 1, 6, 2, 1, 2, 10, 6, 2, 2, 10, 6, 2, 1, 10, 6, 10, 2, 1, 6, 1, 5, 6, 1, 2, 9, 6, 1, 2, 1, 1, 6, 2, 6, 2, 1, 6, 1, 2, 1, 2, 10, 10, 2, 1, 2, 6, 6, 10, 6, 2, 1, 9, 10, 10, 10, 1, 1, 9, 1, 1, 2, 6, 10, 6, 6, 1, 1, 2, 1, 2, 1, 2, 6, 6, 2, 2, 6, 4, 6, 10, 10, 1, 2, 4, 10, 2, 10, 2, 10, 2, 2, 1, 6, 6, 6, 10, 1, 1, 1, 6, 2, 1, 2, 6, 2, 6, 2, 1, 6, 1, 1, 10, 2, 2, 6, 1, 2, 1, 1, 6, 6, 6, 2, 10, 1, 6, 2, 10, 1, 2, 6, 6, 6, 6, 2, 10, 2, 6, 6, 1, 10, 6, 2, 2, 1, 7, 6, 10, 6, 2, 6, 2, 2, 10, 10, 2, 10, 1, 6, 1, 1, 1, 10, 6, 6, 2, 6, 10, 6, 10, 6, 1, 1, 1, 2, 2, 2, 10, 6, 10, 2, 1, 2, 6, 1, 10, 6, 2, 2, 6, 2, 6, 1, 10, 10, 10, 6, 2, 2, 2, 6, 4, 1, 2, 2, 2, 10, 6, 2, 10, 1, 1, 2, 2, 6, 1, 2, 6, 2, 1, 6, 10, 6, 2, 1, 1, 2, 6, 2, 2, 1, 10, 6, 2, 10, 6, 1, 1, 2, 2, 10, 1, 6, 1, 2, 10, 10, 10, 1, 2, 10, 10, 10, 5, 2, 10, 10, 6, 1, 6, 2, 6, 2, 2, 2, 2, 6, 6, 10, 2, 1, 6, 2, 10, 2, 10, 2, 6, 6, 2, 2, 6, 6, 2, 2, 1, 2, 2, 1, 2, 6, 10, 1, 1, 1, 2, 6, 1, 1, 10, 2, 6, 10, 6, 2, 2, 1, 6, 2, 10, 1, 2, 6, 2, 5, 2, 2, 10, 2, 1, 10, 10, 2, 2, 6, 10, 1, 6, 6, 2, 2, 2, 6, 6, 1, 10, 10, 2, 10, 1, 10, 1, 2, 4, 1, 6, 2, 1, 1, 2, 1, 1, 6, 2, 1, 1, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 1, 6, 1, 6, 6, 10, 6, 6, 1, 0, 1, 2, 1, 10, 10, 6, 10, 6, 10, 1, 2, 1, 10, 0, 2, 10, 6, 6, 10, 6, 6, 2, 2, 2, 1, 6, 10, 6, 2, 2, 1, 6, 6, 10, 10, 1, 2, 1, 2, 10, 1, 10, 1, 6, 2, 10, 2, 2, 2, 1, 10, 2, 10, 10, 10, 1, 10, 10, 10, 10, 6, 6, 10, 2, 10, 2, 6, 6, 2, 1, 2, 10, 6, 1, 6, 10, 1, 2, 2, 5, 2, 1, 1, 2, 6, 1, 10, 6, 10, 4, 6, 10, 10, 1, 6, 2, 10, 10, 6, 10, 1, 9, 6, 10, 6, 1, 6, 10, 2, 2, 1, 2, 6, 10, 1, 1, 1, 10, 1, 2, 1, 2, 6, 1, 2, 10, 10, 2, 10, 1, 6, 1, 6, 2, 10, 6, 10, 1, 10, 10, 1, 2, 10, 1, 6, 1, 1, 2, 2, 2, 6, 10, 1, 10, 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1, 6, 2, 6, 10, 2, 10, 1, 1, 1, 1, 2, 2, 2, 10, 2, 10, 1, 1, 10, 1, 1, 10, 10, 6, 10, 2, 10, 10, 6, 2, 6, 6, 1, 6, 2, 1, 10, 1, 1, 6, 10, 6, 10, 2, 10, 10, 6, 10, 2, 6, 2, 1, 1, 6, 2, 2, 1, 2, 2, 1, 1, 10, 6, 10, 10, 6, 2, 10, 10, 1, 6, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 6, 10, 2, 1, 6, 6, 2, 2, 6, 1, 1, 1, 1, 6, 1, 2, 2, 6, 10, 10, 2, 10, 6, 1, 1, 1, 1, 10, 10, 10, 10, 1, 2, 10, 2, 6, 6, 6, 1, 0, 6, 1, 10, 10, 10, 1, 1, 10, 6, 2, 2, 1, 1, 10, 10, 2, 1, 6, 6, 6, 1, 10, 10, 1, 10, 1, 10, 10, 10, 1, 1, 2, 1, 6, 6, 1, 1, 6, 1, 2, 6, 10, 1, 6, 1, 6, 1, 2, 6, 10, 10, 10, 9, 10, 0, 6, 10, 2, 1, 40, 10, 1, 1, 10, 2, 2, 6, 2, 6, 6, 6, 10, 6, 6, 6, 10, 6, 6, 2, 6, 2, 2, 6, 2, 6, 1, 6, 10, 6, 1, 2, 6, 10, 1, 10, 1, 6, 10, 6, 6, 2, 6, 6, 1, 6, 2, 2, 2, 1, 6, 2, 1, 6, 10, 6, 1, 2, 1, 2, 6, 10, 2, 1, 2, 6, 10, 6, 1, 1, 6, 1, 2, 6, 5, 1, 6, 10, 1, 10, 1, 1, 1, 10, 10, 1, 6, 10, 2, 6, 10, 2, 1, 10, 2, 2, 10, 6, 2, 2, 10, 2, 1, 1, 10, 6, 10, 1, 10, 1, 6, 10, 10, 1, 6, 10, 2, 6, 2, 6, 1, 6, 1, 2, 2, 2, 6, 2, 1, 2, 6, 10, 6, 6, 9, 2, 1, 2, 10, 2, 6, 1, 2, 1, 6, 6, 2, 2, 1, 2, 10, 1, 2, 1, 6, 6, 2, 10, 6, 2, 0, 2, 6, 5, 2, 1, 4, 10, 1, 2, 10, 1, 2, 2, 1, 10, 1, 2, 2, 6, 1, 2, 6, 10, 1, 10, 6, 6, 10, 1, 6, 10, 10, 1, 6, 6, 6, 6, 4, 1, 10, 10, 1, 1, 6, 2, 10, 2, 6, 6, 6, 2, 1, 6, 6, 2, 10, 1, 6, 6, 10, 6, 2, 10, 6, 6, 10, 4, 6, 10, 2, 6, 10, 2, 2, 2, 6, 2, 10, 10, 2, 1, 2, 1, 2, 0, 10, 6, 2, 2, 10, 2, 1, 10, 2, 10, 1, 10, 6, 9, 9, 1, 2, 10, 2, 1, 10, 1, 6, 6, 6, 6, 1, 2, 1, 2, 1, 10, 5, 6, 10, 1, 1, 10, 1, 2, 0, 6, 2, 2, 1, 2, 1, 1, 10, 6, 6, 2, 2, 10, 6, 6, 6, 1, 2, 2, 10, 1, 2, 2, 10, 1, 6, 6, 1, 10, 2, 6, 10, 6, 2, 6, 10, 2, 6, 6, 10, 2, 6, 2, 1, 1, 6, 6, 6, 10, 6, 1, 6, 6, 1, 6, 6, 2, 6, 1, 6, 6, 2, 5, 6, 10, 1, 2, 5, 6, 10, 2, 6, 1, 6, 2, 10, 1, 2, 2, 1, 1, 10, 2, 4, 10, 9, 9, 2, 1, 2, 6, 6, 10, 6, 10, 1, 10, 1, 10, 10, 1, 2, 2, 4, 6, 1, 2, 10, 1, 6, 1, 2, 0, 10, 2, 10, 1, 6, 6, 6, 6, 6, 2, 6, 10, 2, 1, 1, 6, 2, 1, 10, 10, 10, 2, 6, 6, 2, 2, 6, 6, 2, 6, 2, 6, 6, 2, 10, 2, 6, 9, 2, 10, 1, 2, 6, 10, 1, 6, 2, 2, 2, 2, 2, 1, 10, 10, 10, 6, 1, 2, 10, 2, 6, 1, 6, 6, 10, 10, 10, 1, 1, 2, 1, 10, 6, 6, 10, 2, 10, 2, 2, 2, 2, 6, 10, 2, 1, 6, 1, 2, 2, 2, 2, 6, 2, 6, 6, 6, 2, 0, 6, 10, 10, 6, 6, 6, 2, 2, 2, 6, 1, 2, 2, 1, 6, 1, 10, 10, 10, 6, 10, 1, 1, 2, 2, 1, 1, 6, 2, 1, 1, 10, 2, 6, 2, 6, 2, 9, 6, 1, 1, 1, 2, 10, 6, 2, 6, 2, 6, 1, 1, 1, 10, 6, 1, 2, 6, 6, 10, 2, 2, 2, 1, 2, 1, 2, 6, 6, 6, 6, 6, 1, 10, 1, 2, 10, 6, 2, 1, 2, 1, 2, 6, 2, 10, 2, 2, 10, 10, 2, 6, 2, 10, 10, 10, 1, 2, 10, 1, 10, 1, 2, 1, 6, 6, 2, 2, 2, 6, 10, 2, 6, 1, 1, 6, 6, 10, 10, 2, 2, 0, 6, 1, 6, 1, 10, 10, 10, 6, 1, 2, 1, 6, 6, 1, 1, 2, 6, 10, 10, 2, 2, 10, 1, 6, 9, 10, 1, 10, 6, 2, 6, 1, 2, 2, 1, 2, 6, 5, 1, 10, 6, 10, 6, 2, 6, 6, 1, 1, 1, 6, 2, 1, 10, 6, 2, 10, 10, 6, 6, 10, 2, 2, 6, 10, 6, 1, 6, 10, 1, 1, 2, 6, 2, 2, 2, 10, 1, 10, 6, 10, 6, 2, 6, 1, 6, 10, 6, 1, 6, 2, 2, 6, 2, 10, 10, 4, 1, 1, 10, 6, 2, 10, 1, 10, 6, 10, 2, 6, 10, 6, 1, 10, 10, 1, 1, 1, 1, 10, 10, 1, 1, 2, 6, 6, 10, 6, 6, 1, 6, 6, 2, 10, 6, 6, 10, 10, 2, 10, 10, 1, 6, 1, 6, 1, 2, 6, 1, 10, 6, 10, 10, 2, 6, 10, 1, 2, 1, 5, 2, 6, 10, 2, 1, 2, 10, 1, 1, 10, 10, 2, 1, 1, 10, 2, 10, 2, 1, 10, 6, 6, 6, 0, 1, 6, 1, 0, 6, 6, 2, 1, 10, 5, 2, 10, 6, 10, 2, 2, 2, 10, 6, 9, 6, 1, 1, 6, 10, 2, 1, 1, 2, 2, 1, 9, 2, 6, 1, 6, 6, 2, 10, 2, 10, 6, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 5, 1, 10, 1, 6, 2, 1, 6, 10, 2, 2, 2, 6, 1, 1, 6, 6, 10, 10, 1, 6, 1, 6, 2, 2, 10, 2, 6, 6, 6, 10, 10, 2, 6, 6, 10, 10, 1, 2, 2, 10, 2, 2, 10, 6, 6, 6, 1, 1, 6, 6, 1, 2, 6, 6, 0, 10, 6, 2, 1, 10, 2, 6, 10, 6, 60, 10, 2, 2, 2, 2, 2, 6, 1, 1, 6, 6, 6, 10, 1, 10, 10, 10, 10, 1, 10, 2, 6, 10, 2, 1, 2, 1, 1, 6, 2, 6, 10, 10, 10, 2, 1, 2, 1, 5, 10, 1, 10, 2, 10, 1, 6, 10, 6, 2, 1, 10, 1, 2, 2, 1, 1, 6, 1, 2, 1, 6, 1, 1, 10, 2, 2, 10, 10, 1, 2, 6, 6, 6, 10, 6, 2, 1, 6, 1, 6, 10, 6, 2, 10, 1, 2, 6, 10, 6, 2, 1, 6, 10, 10, 2, 1, 10, 6, 10, 2, 10, 1, 10, 6, 2, 2, 1, 1, 6, 0, 6, 1, 10, 1, 6, 10, 6, 2, 10, 6, 10, 6, 5, 10, 6, 10, 10, 10, 2, 6, 2, 10, 10, 1, 1, 1, 2, 10, 6, 1, 10, 2, 2, 6, 2, 6, 2, 10, 1, 10, 6, 6, 2, 2, 6, 10, 2, 2, 1, 6, 1, 2, 1, 4, 10, 2, 6, 10, 10, 6, 2, 6, 0, 6, 10, 10, 10, 2, 6, 6, 10, 6, 2, 2, 2, 10, 10, 2, 1, 6, 2, 6, 1, 1, 6, 10, 10, 10, 2, 10, 6, 1, 6, 10, 2, 6, 1, 6, 10, 2, 10, 6, 2, 6, 2, 2, 2, 6, 6, 6, 1, 2, 0, 1, 6, 6, 6, 10, 10, 2, 2, 1, 6, 2, 6, 2, 1, 1, 6, 1, 10, 10, 6, 2, 2, 1, 2, 6, 1, 6, 1, 1, 6, 10, 6, 6, 1, 1, 6, 6, 10, 6, 6, 2, 10, 1, 2, 2, 2, 1, 10, 2, 2, 6, 10, 1, 6, 2, 2, 6, 1, 6, 10, 6, 2, 10, 10, 10, 2, 6, 1, 1, 9, 6, 2, 6, 2, 10, 1, 10, 1, 10, 10, 0, 2, 2, 10, 1, 6, 1, 1, 1, 1, 6, 10, 1, 10, 10, 6, 2, 2, 1, 6, 6, 2, 2, 1, 6, 6, 2, 6, 6, 1, 6, 6, 7, 1, 1, 6, 6, 6, 10, 6, 1, 1, 6, 6, 1, 10, 1, 2, 10, 6, 10, 6, 2, 10, 2, 1, 6, 1, 1, 1, 6, 1, 10, 1, 2, 1, 6, 6, 1, 6, 2, 6, 6, 1, 10, 10, 6, 10, 6, 10, 2, 1, 10, 2, 6, 2, 10, 6, 10, 2, 9, 1, 6, 6, 10, 2, 6, 6, 1, 1, 1, 2, 2, 1, 1, 1, 1, 6, 2, 1, 10, 6, 1, 2, 2, 2, 4, 1, 6, 9, 1, 1, 6, 1, 0, 2, 10, 6, 2, 6, 1, 2, 6, 1, 6, 10, 6, 1, 10, 10, 1, 10, 6, 6, 2, 2, 2, 1, 6, 2, 2, 1, 2, 10, 9, 10, 6, 2, 10, 2, 1, 10, 1, 1, 1, 1, 1, 1, 10, 6, 10, 6, 6, 10, 2, 10, 2, 2, 1, 6, 1, 10, 1, 10, 1, 10, 2, 6, 2, 1, 10, 6, 10, 2, 2, 6, 6, 1, 1, 2, 6, 1, 10, 6, 2, 6, 6, 1, 2, 2, 1, 1, 1, 2, 1, 6, 1, 2, 10, 1, 2, 1, 2, 5, 2, 2, 2, 1, 6, 6, 6, 1, 2, 2, 9, 2, 1, 1, 10, 6, 2, 6, 9, 2, 6, 1, 1, 10, 1, 10, 6, 1, 1, 6, 10, 1, 10, 6, 1, 1, 2, 2, 10, 1, 6, 10, 6, 1, 6, 10, 1, 6, 1, 2, 2, 10, 10, 2, 6, 1, 1, 0, 2, 10, 1, 2, 6, 1, 2, 10, 6, 1, 10, 1, 2, 10, 2, 6, 1, 2, 10, 6, 10, 1, 2, 2, 1, 6, 6, 10, 2, 10, 9, 2, 10, 6, 10, 1, 1, 2, 1, 10, 10, 6, 10, 1, 10, 1, 6, 10, 6, 10, 6, 1, 1, 2, 2, 10, 1, 10, 10, 1, 1, 1, 1, 2, 1, 2, 10, 10, 6, 1, 2, 10, 10, 2, 10, 2, 10, 1, 1, 10, 9, 1, 2, 10, 9, 6, 10, 2, 2, 6, 1, 6, 1, 10, 6, 10, 6, 6, 2, 2, 2, 10, 2, 10, 6, 1, 1, 1, 10, 1, 6, 10, 2, 6, 2, 10, 6, 10, 2, 6, 2, 10, 6, 10, 6, 6, 10, 6, 2, 10, 6, 4, 6, 1, 10, 2, 6, 10, 6, 2, 6, 6, 6, 2, 2, 1, 2, 2, 2, 6, 6, 10, 6, 2, 2, 2, 2, 2, 1, 1, 6, 2, 10, 2, 6, 1, 1, 10, 1, 2, 6, 1, 1, 1, 2, 10, 6, 10, 10, 2, 1, 2, 6, 6, 10, 6, 4, 1, 10, 10, 6, 1, 6, 2, 6, 2, 6, 1, 10, 10, 2, 2, 1, 1, 10, 6, 10, 6, 1, 10, 1, 2, 1, 0, 10, 1, 6, 10, 10, 2, 1, 10, 10, 10, 6, 10, 10, 2, 10, 6, 1, 1, 6, 1, 10, 1, 2, 1, 2, 1, 2, 10, 1, 10, 6, 1, 1, 6, 2, 10, 10, 6, 1, 1, 10, 2, 4, 2, 2, 1, 6, 10, 1, 6, 6, 10, 10, 6, 1, 2, 6, 10, 10, 2, 10, 10, 6, 6, 2, 2, 1, 1, 10, 1, 2, 10, 10, 1, 2, 2, 6, 1, 1, 5, 1, 1, 10, 2, 6, 2, 2, 2, 10, 10, 6, 1, 1, 10, 1, 2, 2, 2, 6, 6, 6, 1, 6, 10, 2, 6, 1, 10, 1, 6, 1, 10, 6, 1, 2, 6, 2, 1, 6, 1, 6, 6, 1, 2, 2, 6, 6, 2, 2, 1, 6, 6, 1, 10, 10, 1, 1, 6, 10, 10, 2, 2, 6, 4, 2, 2, 2, 10, 10, 2, 2, 2, 1, 10, 10, 9, 10, 6, 6, 10, 10, 6, 2, 2, 10, 10, 10, 1, 1, 1, 2, 6, 2, 2, 1, 4, 5, 10, 6, 6, 10, 10, 1, 6, 1, 1, 10, 6, 10, 6, 2, 2, 1, 10, 6, 6, 6, 2, 2, 1, 2, 6, 6, 6, 6, 2, 6, 6, 2, 2, 2, 2, 6, 1, 10, 1, 1, 10, 10, 6, 2, 10, 4, 6, 1, 1, 10, 10, 1, 1, 10, 6, 1, 10, 2, 10, 6, 1, 2, 6, 2, 10, 1, 10, 2, 6, 2, 1, 4, 10, 6, 1, 1, 1, 1, 6, 6, 1, 6, 10, 1, 6, 6, 2, 1, 6, 2, 10, 1, 10, 2, 1, 2, 1, 6, 10, 2, 10, 6, 10, 6, 1, 2, 6, 6, 6, 1, 10, 2, 6, 1, 1, 10, 1, 1, 10, 2, 2, 6, 1, 2, 10, 2, 6, 2, 10, 6, 10, 1, 10, 2, 6, 10, 2, 6, 9, 10, 6, 1, 1, 6, 6, 6, 60, 1, 1, 1, 10, 1, 2, 10, 10, 10, 5, 1, 2, 2, 2, 2, 6, 2, 2, 2, 10, 6, 10, 1, 6, 1, 10, 10, 2, 1, 1, 6, 10, 1, 1, 2, 10, 6, 2, 1, 10, 2, 1, 1, 2, 6, 6, 10, 10, 6, 6, 10, 10, 2, 1, 10, 2, 2, 10, 10, 2, 1, 6, 6, 2, 6, 6, 1, 6, 10, 10, 1, 2, 1, 2, 2, 10, 1, 10, 2, 1, 10, 1, 6, 2, 1, 7, 6, 2, 6, 1, 2, 2, 10, 1, 1, 2, 10, 1, 1, 10, 9, 6, 2, 1, 6, 2, 6, 10, 1, 10, 10, 6, 9, 6, 10, 2, 2, 6, 10, 6, 6, 1, 2, 4, 10, 1, 6, 1, 10, 10, 2, 10, 4, 2, 10, 6, 2, 10, 10, 10, 10, 2, 1, 6, 10, 2, 6, 1, 6, 1, 10, 10, 2, 1, 6, 1, 1, 10, 6, 6, 2, 6, 10, 6, 6, 6, 10, 10, 1, 10, 10, 1, 6, 1, 1, 2, 6, 1, 6, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 6, 10, 5, 6, 6, 10, 10, 1, 6, 6, 2, 6, 6, 10, 2, 10, 2, 2, 10, 6, 10, 10, 6, 6, 10, 1, 1, 6, 6, 2, 2, 2, 1, 1, 2, 0, 6, 6, 6, 6, 2, 1, 1, 6, 6, 6, 10, 10, 2, 1, 2, 6, 1, 2, 2, 2, 1, 10, 1, 6, 2, 6, 6, 6, 10, 1, 2, 6, 1, 6, 5, 10, 2, 1, 6, 10, 10, 6, 4, 1, 1, 1, 1, 2, 2, 6, 6, 6, 2, 1, 2, 6, 1, 6, 2, 10, 6, 2, 10, 1, 1, 6, 10, 10, 1, 10, 10, 2, 2, 1, 10, 10, 2, 2, 2, 1, 1, 1, 6, 1, 10, 2, 10, 6, 10, 1, 6, 2, 2, 10, 2, 1, 2, 6, 2, 1, 2, 2, 10, 6, 6, 10, 6, 10, 2, 6, 2, 10, 1, 6, 1, 2, 10, 2, 1, 10, 1, 2, 6, 1, 10, 10, 10, 6, 2, 10, 10, 2, 6, 10, 2, 10, 1, 7, 2, 10, 10, 10, 1, 6, 10, 6, 10, 2, 10, 10, 1, 6, 1, 2, 1, 9, 6, 10, 10, 2, 2, 1, 2, 1, 2, 6, 1, 1, 2, 10, 10, 1, 6, 2, 6, 2, 10, 2, 10, 1, 10, 6, 2, 6, 10, 6, 10, 4, 10, 10, 6, 6, 2, 1, 6, 6, 6, 2, 10, 1, 1, 2, 1, 6, 10, 10, 1, 1, 6, 1, 2, 1, 0, 6, 6, 1, 6, 1, 1, 2, 1, 10, 6, 2, 2, 9, 10, 1, 5, 2, 6, 2, 6, 2, 1, 10, 1, 1, 2, 1, 6, 10, 10, 2, 10, 10, 9, 0, 2, 6, 6, 2, 2, 10, 6, 10, 10, 4, 10, 2, 10, 1, 6, 2, 1, 1, 1, 2, 6, 2, 6, 2, 1, 6, 6, 0, 6, 1, 1, 1, 6, 10, 2, 1, 1, 2, 10, 2, 6, 6, 10, 10, 10, 2, 2, 2, 2, 1, 5, 10, 1, 1, 6, 6, 6, 6, 2, 1, 6, 10, 10, 2, 10, 10, 10, 2, 10, 6, 9, 2, 2, 10, 10, 6, 10, 10, 2, 10, 6, 1, 10, 1, 6, 10, 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10, 10, 1, 6, 1, 1, 2, 6, 10, 1, 10, 10, 1, 10, 10, 2, 6, 1, 10, 10, 6, 10, 6, 2, 10, 6, 10, 1, 2, 10, 2, 1, 2, 6, 10, 1, 1, 2, 10, 2, 1, 6, 6, 6, 60, 10, 2, 10, 10, 1, 1, 1, 10, 2, 10, 10, 6, 2, 2, 2, 10, 1, 10, 6, 2, 10, 1, 10, 10, 1, 6, 10, 2, 1, 2, 1, 5, 6, 1, 6, 2, 1, 6, 6, 1, 2, 1, 1, 10, 1, 5, 2, 2, 0, 1, 6, 2, 10, 6, 10, 4, 10, 1, 2, 6, 6, 1, 1, 6, 1, 1, 2, 1, 2, 1, 6, 10, 2, 6, 2, 10, 10, 2, 2, 10, 1, 1, 6, 10, 10, 1, 10, 1, 1, 10, 6, 1, 2, 10, 2, 10, 2, 2, 1, 1, 10, 6, 1, 6, 2, 2, 6, 10, 2, 6, 10, 10, 1, 10, 10, 6, 6, 1, 6, 2, 10, 2, 1, 10, 1, 2, 10, 10, 10, 1, 10, 2, 10, 10, 1, 10, 2, 1, 10, 10, 1, 10, 2, 6, 1, 2, 1, 10, 1, 1, 9, 6, 2, 10, 10, 1, 2, 1, 1, 9, 1, 6, 1, 10, 2, 10, 10, 6, 2, 6, 2, 1, 1, 1, 2, 10, 6, 2, 10, 1, 2, 4, 2, 10, 2, 2, 1, 6, 2, 2, 1, 2, 6, 10, 1, 10, 6, 2, 2, 6, 6, 6, 6, 2, 6, 1, 1, 6, 1, 6, 10, 2, 6, 10, 10, 1, 6, 10, 6, 1, 1, 10, 2, 10, 6, 2, 6, 6, 2, 10, 1, 1, 2, 10, 1, 6, 2, 10, 2, 2, 1, 2, 2, 1, 1, 6, 1, 9, 2, 9, 1, 10, 10, 1, 10, 1, 10, 2, 10, 1, 2, 10, 2, 10, 2, 10, 6, 2, 10, 2, 6, 1, 2, 1, 0, 1, 1, 1, 1, 6, 1, 6, 1, 10, 10, 2, 2, 1, 2, 10, 1, 1, 6, 10, 1, 2, 1, 6, 10, 6, 1, 1, 10, 10, 6, 4, 10, 1, 5, 1, 1, 1, 2, 10, 1, 1, 6, 2, 6, 6, 2, 1, 1, 6, 1, 1, 2, 1, 10, 2, 2, 6, 10, 6, 2, 4, 10, 10, 1, 1, 1, 2, 1, 10, 10, 2, 9, 10, 6, 10, 2, 10, 1, 6, 1, 2, 1, 1, 2, 6, 10, 6, 2, 6, 10, 1, 2, 2, 10, 1, 1, 2, 1, 2, 6, 1, 10, 2, 2, 1, 2, 2, 2, 1, 6, 1, 2, 1, 1, 10, 6, 1, 2, 2, 2, 1, 10, 10, 1, 10, 10, 1, 1, 10, 10, 2, 10, 6, 1, 10, 1, 6, 2, 6, 2, 6, 2, 2, 6, 10, 6, 1, 2, 2, 10, 2, 6, 2, 2, 10, 6, 6, 2, 1, 1, 2, 2, 1, 10, 6, 2, 2, 2, 2, 1, 10, 10, 2, 6, 10, 2, 10, 10, 2, 1, 1, 10, 10, 6, 10, 6, 10, 1, 6, 4, 10, 6, 6, 6, 2, 6, 1, 10, 10, 2, 6, 1, 6, 2, 1, 1, 1, 5, 2, 1, 2, 2, 2, 5, 6, 6, 10, 5, 10, 1, 6, 2, 1, 10, 1, 1, 6, 10, 6, 6, 2, 6, 6, 10, 10, 6, 2, 10, 10, 1, 10, 10, 1, 2, 2, 10, 1, 6, 6, 6, 10, 10, 1, 6, 2, 10, 10, 6, 10, 2, 1, 2, 1, 2, 6, 1, 10, 10, 1, 6, 2, 2, 10, 2, 10, 1, 10, 10, 2, 10, 6, 10, 2, 2, 2, 1, 2, 6, 10, 6, 6, 2, 10, 6, 1, 6, 6, 10, 10, 6, 2, 1, 2, 2, 1, 6, 10, 10, 10, 6, 1, 10, 10, 6, 1, 6, 2, 6, 1, 2, 6, 2, 2, 6, 10, 1, 1, 1, 10, 10, 6, 6, 2, 10, 6, 2, 2, 2, 10, 2, 10, 1, 1, 1, 1, 2, 2, 2, 10, 2, 2, 6, 10, 2, 10, 1, 1, 1, 10, 6, 1, 10, 10, 2, 1, 1, 2, 10, 6, 1, 10, 10, 6, 10, 2, 2, 1, 10, 10, 6, 2, 6, 6, 10, 1, 2, 4, 2, 1, 1, 0, 1, 1, 2, 2, 10, 1, 6, 6, 1, 10, 6, 1, 2, 10, 6, 6, 2, 2, 10, 1, 2, 1, 1, 10, 6, 2, 6, 2, 1, 10, 2, 2, 2, 10, 6, 6, 1, 6, 2, 1, 1, 1, 2, 10, 10, 10, 6, 10, 1, 6, 1, 2, 6, 1, 10, 1, 10, 5, 9, 5, 6, 6, 2, 10, 1, 6, 10, 6, 10, 2, 1, 1, 6, 10, 6, 9, 1, 2, 4, 10, 0, 6, 10, 6, 10, 1, 1, 2, 2, 2, 1, 2, 10, 10, 6, 6, 2, 1, 1, 2, 10, 6, 2, 10, 2, 6, 6, 10, 2, 1, 1, 1, 2, 2, 2, 6, 10, 10, 1, 9, 1, 6, 10, 6, 10, 10, 2, 6, 6, 2, 6, 1, 2, 9, 10, 2, 1, 6, 6, 6, 1, 1, 10, 5, 1, 6, 10, 1, 6, 6, 6, 10, 1, 6, 1, 10, 2, 10, 6, 10, 2, 2, 2, 2, 10, 1, 1, 2, 2, 6, 2, 1, 6, 6, 1, 2, 6, 5, 10, 6, 1, 1, 5, 10, 2, 1, 10, 10, 6, 1, 10, 10, 2, 10, 2, 5, 50, 2, 10, 1, 6, 1, 2, 10, 6, 2, 10, 1, 6, 10, 10, 10, 1, 2, 6, 10, 10, 6, 1, 1, 1, 10, 2, 6, 6, 1, 1, 1, 10, 2, 6, 2, 10, 1, 2, 2, 9, 10, 2, 10, 6, 6, 10, 6, 6, 2, 4, 10, 2, 10, 2, 1, 2, 6, 6, 2, 1, 1, 6, 10, 6, 6, 2, 1, 6, 10, 10, 6, 2, 2, 2, 10, 10, 1, 10, 10, 6, 10, 6, 6, 10, 6, 1, 1, 6, 6, 2, 10, 1, 10, 1, 2, 2, 1, 1, 2, 1, 6, 0, 6, 2, 2, 2, 1, 10, 6, 2, 6, 10, 10, 10, 2, 6, 2, 2, 1, 1, 6, 5, 2, 1, 2, 6, 10, 10, 10, 1, 1, 6, 6, 6, 2, 6, 2, 1, 1, 1, 6, 10, 6, 1, 6, 9, 10, 10, 6, 1, 10, 10, 2, 2, 1, 4, 10, 10, 10, 2, 6, 10, 10, 10, 10, 6, 1, 10, 1, 6, 6, 10, 10, 6, 2, 10, 6, 10, 10, 10, 10, 10, 1, 6, 1, 2, 2, 6, 6, 10, 10, 6, 6, 5, 10, 6, 2, 2, 10, 6, 10, 6, 1, 5, 10, 6, 1, 6, 6, 10, 2, 10, 10, 10, 10, 6, 6, 10, 1, 10, 2, 6, 10, 1, 1, 10, 2, 10, 6, 6, 1, 10, 6, 1, 10, 2, 6, 2, 2, 6, 1, 6, 10, 6, 1, 1, 6, 5, 2, 6, 1, 1, 2, 6, 6, 1, 10, 2, 2, 6, 10, 6, 6, 10, 1, 6, 2, 10, 2, 10, 10, 10, 1, 1, 2, 1, 2, 10, 2, 10, 10, 2, 2, 1, 10, 2, 2, 0, 6, 0, 1, 6, 10, 6, 2, 0, 10, 2, 10, 2, 1, 1, 1, 6, 6, 10, 10, 6, 6, 10, 10, 10, 9, 1, 6, 2, 2, 10, 6, 6, 10, 1, 10, 6, 2, 2, 2, 2, 1, 10, 1, 1, 2, 6, 1, 1, 6, 2, 10, 6, 2, 6, 1, 6, 10, 10, 1, 2, 6, 2, 6, 2, 2, 6, 10, 10, 2, 1, 10, 10, 10, 10, 1, 1, 1, 1, 1, 1, 2, 6, 1, 0, 2, 4, 10, 10, 6, 0, 3, 10, 2, 10, 6, 10, 2, 2, 6, 2, 2, 2, 1, 6, 6, 1, 10, 6, 2, 1, 1, 1, 10, 10, 10, 1, 6, 10, 1, 1, 10, 10, 10, 6, 10, 1, 0, 10, 10, 6, 2, 10, 2, 6, 10, 1, 10, 6, 2, 1, 10, 1, 1, 6, 5, 1, 2, 1, 2, 10, 10, 6, 6, 10, 2, 10, 10, 2, 10, 2, 10, 6, 6, 2, 2, 10, 1, 2, 1, 2, 1, 2, 10, 10, 10, 2, 10, 2, 10, 10, 6, 6, 1, 2, 10, 1, 2, 6, 1, 1, 1, 10, 6, 10, 10, 10, 5, 10, 6, 1, 2, 2, 1, 2, 6, 2, 1, 1, 6, 6, 1, 2, 1, 6, 2, 2, 10, 6, 10, 6, 10, 6, 10, 6, 0, 10, 2, 2, 1, 1, 2, 6, 10, 6, 2, 2, 2, 6, 10, 1, 6, 1, 4, 10, 2, 2, 2, 0, 6, 6, 1, 10, 1, 10, 2, 10, 1, 6, 1, 2, 10, 6, 10, 6, 2, 1, 2, 2, 6, 2, 2, 1, 1, 2, 1, 1, 2, 6, 10, 1, 10, 10, 2, 10, 6, 5, 10, 1, 10, 10, 10, 6, 0, 2, 2, 10, 2, 2, 1, 10, 1, 2, 10, 6, 10, 6, 2, 6, 2, 10, 10, 10, 2, 10, 1, 1, 2, 2, 1, 6, 6, 1, 10, 1, 6, 2, 2, 10, 10, 6, 10, 1, 2, 2, 6, 6, 6, 10, 6, 2, 0, 2, 10, 1, 1, 10, 6, 6, 6, 1, 1, 10, 10, 6, 1, 2, 1, 1, 2, 2, 1, 1, 10, 10, 2, 2, 1, 10, 6, 1, 1, 10, 1, 10, 2, 10, 10, 1, 10, 6, 1, 6, 6, 10, 6, 1, 2, 2, 1, 2, 10, 1, 10, 1, 1, 10, 10, 2, 2, 6, 6, 6, 6, 4, 2, 2, 10, 1, 1, 2, 10, 1, 1, 7, 6, 10, 6, 2, 6, 10, 10, 1, 1, 10, 10, 10, 2, 10, 10, 1, 6, 2, 2, 9, 1, 1, 1, 6, 10, 6, 6, 10, 2, 10, 6, 6, 1, 2, 1, 2, 10, 2, 2, 6, 6, 5, 10, 10, 2, 10, 2, 6, 6, 1, 1, 1, 6, 6, 6, 2, 10, 1, 1, 2, 10, 10, 6, 6, 10, 6, 1, 10, 10, 6, 10, 10, 1, 6, 6, 1, 0, 1, 6, 2, 6, 10, 10, 10, 10, 10, 10, 6, 10, 6, 1, 10, 6, 1, 2, 2, 10, 2, 1, 1, 1, 1, 1, 6, 6, 6, 10, 10, 10, 10, 2, 2, 6, 6, 1, 1, 6, 1, 2, 10, 10, 6, 1, 6, 1, 1, 2, 1, 10, 6, 1, 2, 10, 6, 6, 10, 1, 2, 6, 1, 6, 10, 6, 10, 6, 2, 2, 2, 1, 2, 10, 10, 1, 1, 10, 10, 10, 10, 10, 6, 1, 2, 10, 6, 2, 6, 2, 6, 2, 1, 10, 10, 6, 6, 10, 10, 10, 5, 2, 6, 2, 2, 1, 6, 2, 1, 6, 10, 10, 6, 1, 0, 10, 10, 1, 6, 6, 1, 2, 10, 1, 2, 6, 10, 6, 1, 6, 6, 1, 10, 0, 1, 6, 6, 10, 6, 10, 1, 10, 6, 1, 6, 1, 1, 2, 2, 6, 6, 2, 2, 1, 1, 2, 2, 1, 2, 6, 2, 10, 10, 1, 2, 6, 10, 2, 2, 2, 1, 1, 10, 6, 1, 1, 1, 6, 10, 10, 2, 1, 2, 6, 10, 1, 10, 10, 2, 1, 6, 6, 10, 2, 6, 6, 10, 2, 2, 6, 2, 1, 10, 2, 6, 2, 6, 2, 2, 2, 0, 6, 10, 6, 10, 6, 1, 6, 10, 10, 10, 6, 1, 10, 2, 10, 10, 6, 1, 6, 2, 1, 10, 10, 6, 10, 9, 10, 1, 9, 2, 1, 10, 1, 10, 2, 10, 1, 0, 10, 2, 2, 2, 10, 1, 1, 0, 1, 6, 1, 1, 10, 1, 1, 1, 6, 2, 10, 2, 2, 10, 2, 10, 6, 2, 1, 1, 1, 9, 6, 6, 2, 10, 2, 2, 10, 6, 6, 10, 1, 2, 10, 1, 10, 2, 2, 6, 2, 10, 1, 6, 10, 6, 6, 2, 2, 2, 2, 6, 10, 2, 10, 2, 10, 6, 0, 10, 1, 2, 6, 2, 1, 2, 6, 6, 6, 6, 6, 6, 2, 0, 1, 6, 6, 1, 2, 6, 1, 6, 1, 1, 6, 6, 2, 2, 1, 6, 1, 2, 10, 2, 1, 1, 1, 2, 1, 10, 6, 1, 10, 6, 1, 1, 2, 2, 6, 1, 1, 6, 10, 2, 1, 2, 1, 10, 2, 1, 10, 2, 10, 1, 2, 2, 6, 1, 10, 1, 2, 5, 1, 1, 6, 10, 10, 10, 6, 10, 6, 2, 2, 10, 10, 2, 10, 2, 6, 1, 6, 6, 6, 10, 10, 5, 6, 6, 6, 10, 6, 6, 10, 10, 2, 2, 10, 10, 1, 10, 10, 6, 10, 6, 1, 1, 1, 6, 1, 5, 5, 10, 6, 10, 6, 2, 2, 4, 10, 2, 1, 6, 1, 2, 1, 6, 6, 2, 2, 1, 10, 2, 2, 10, 6, 10, 2, 1, 1, 2, 2, 2, 1, 2, 1, 9, 1, 10, 6, 2, 2, 5, 1, 2, 10, 4, 10, 6, 6, 1, 1, 1, 1, 6, 6, 2, 10, 10, 10, 10, 2, 10, 6, 2, 1, 6, 2, 1, 10, 6, 2, 2, 2, 1, 2, 1, 10, 5, 9, 2, 6, 10, 2, 6, 2, 1, 1, 2, 10, 2, 10, 6, 10, 6, 6, 6, 2, 1, 1, 2, 6, 1, 0, 5, 1, 6, 6, 0, 1, 1, 1, 2, 10, 1, 6, 1, 6, 10, 6, 1, 6, 2, 6, 6, 6, 2, 10, 6, 1, 10, 2, 1, 6, 10, 10, 1, 1, 6, 6, 2, 2, 4, 10, 2, 2, 2, 2, 10, 10, 10, 10, 10, 10, 10, 9, 10, 2, 1, 10, 6, 1, 2, 10, 10, 6, 6, 6, 10, 1, 1, 6, 6, 2, 10, 10, 1, 6, 6, 6, 1, 1, 2, 6, 1, 2, 2, 1, 6, 1, 2, 6, 6, 2, 5, 6, 1, 2, 2, 6, 2, 6, 6, 0, 2, 2, 1, 10, 1, 6, 10, 10, 10, 2, 10, 10, 1, 2, 1, 6, 1, 10, 6, 1, 1, 10, 6, 1, 10, 10, 2, 1, 1, 10, 6, 2, 6, 6, 2, 1, 6, 1, 1, 2, 2, 5, 2, 1, 1, 6, 1, 2, 1, 10, 6, 1, 2, 6, 2, 2, 10, 6, 6, 2, 10, 6, 6, 6, 10, 10, 6, 1, 9, 1, 1, 0, 1, 2, 2, 1, 1, 1, 4, 10, 10, 1, 6, 2, 6, 6, 2, 1, 10, 2, 6, 2, 2, 1, 2, 10, 6, 6, 2, 6, 10, 1, 6, 6, 2, 10, 10, 6, 6, 6, 1, 6, 6, 6, 6, 2, 2, 2, 1, 2, 6, 10, 1, 6, 2, 1, 10, 6, 4, 10, 10, 10, 10, 10, 6, 1, 6, 2, 2, 2, 6, 6, 10, 1, 6, 10, 1, 10, 2, 6, 10, 6, 6, 1, 10, 10, 1, 1, 6, 6, 2, 10, 2, 10, 2, 1, 1, 2, 10, 1, 6, 6, 6, 10, 6, 6, 2, 6, 1, 10, 6, 10, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 10, 10, 10, 2, 1, 6, 6, 1, 6, 6, 1, 10, 6, 6, 6, 1, 6, 10, 1, 10, 2, 1, 1, 10, 10, 6, 1, 1, 2, 2, 6, 6, 6, 6, 6, 1, 2, 6, 6, 1, 6, 2, 1, 10, 0, 4, 10, 10, 1, 2, 1, 6, 10, 1, 10, 2, 2, 6, 6, 1, 10, 1, 1, 6, 2, 10, 2, 6, 10, 2, 2, 6, 1, 6, 10, 6, 2, 6, 6, 6, 1, 6, 10, 6, 6, 1, 6, 1, 10, 6, 6, 6, 1, 10, 1, 1, 6, 1, 10, 10, 10, 10, 1, 2, 9, 2, 10, 1, 1, 6, 10, 1, 10, 10, 2, 10, 10, 1, 1, 1, 10, 1, 2, 2, 2, 1, 2, 2, 1, 10, 10, 10, 2, 6, 1, 1, 2, 6, 10, 6, 6, 1, 6, 6, 6, 2, 1, 6, 1, 6, 2, 1, 1, 6, 2, 6, 10, 2, 6, 2, 10, 1, 2, 2, 10, 10, 1, 6, 6, 2, 2, 2, 1, 2, 2, 1, 2, 10, 2, 2, 6, 10, 1, 1, 1, 10, 10, 1, 10, 1, 6, 1, 1, 6, 1, 1, 10, 6, 10, 6, 1, 6, 2, 2, 10, 2, 2, 2, 1, 2, 6, 10, 2, 4, 1, 1, 1, 10, 2, 1, 10, 6, 10, 6, 1, 2, 6, 1, 6, 2, 10, 1, 9, 2, 10, 10, 2, 6, 6, 6, 2, 6, 2, 6, 2, 1, 10, 1, 10, 2, 2, 10, 6, 10, 2, 2, 1, 1, 6, 10, 10, 2, 2, 2, 10, 1, 1, 10, 6, 6, 10, 10, 1, 2, 10, 1, 10, 1, 1, 6, 1, 6, 6, 1, 6, 1, 1, 6, 2, 1, 10, 10, 2, 1, 2, 1, 2, 10, 2, 6, 2, 10, 10, 2, 6, 6, 6, 6, 6, 2, 2, 10, 2, 2, 6, 1, 10, 2, 1, 1, 10, 6, 6, 2, 10, 1, 2, 10, 2, 10, 1, 2, 2, 10, 2, 6, 2, 1, 1, 2, 10, 10, 2, 10, 1, 10, 1, 6, 5, 10, 1, 1, 1, 6, 1, 1, 1, 2, 10, 10, 6, 10, 6, 10, 1, 2, 0, 1, 2, 6, 1, 6, 2, 2, 1, 4, 6, 2, 2, 10, 1, 1, 10, 1, 1, 10, 10, 2, 10, 2, 6, 2, 10, 6, 1, 2, 2, 2, 6, 2, 6, 6, 6, 10, 2, 4, 10, 1, 4, 1, 10, 10, 2, 6, 2, 1, 2, 2, 10, 6, 2, 6, 10, 10, 10, 2, 10, 2, 6, 10, 10, 1, 6, 6, 10, 6, 1, 10, 1, 1, 2, 6, 6, 1, 6, 10, 10, 6, 1, 1, 10, 6, 6, 6, 1, 2, 10, 1, 1, 10, 2, 1, 10, 6, 1, 2, 2, 2, 1, 6, 10, 6, 6, 2, 2, 6, 10, 1, 10, 10, 4, 2, 6, 6, 6, 10, 10, 6, 6, 1, 10, 2, 2, 10, 10, 2, 6, 1, 1, 1, 6, 2, 10, 10, 10, 10, 2, 10, 1, 6, 2, 6, 1, 6, 6, 2, 6, 6, 1, 2, 1, 2, 6, 10, 1, 1, 2, 6, 1, 10, 10, 10, 2, 10, 6, 10, 1, 1, 6, 1, 6, 6, 6, 10, 1, 1, 6, 2, 1, 2, 1, 6, 6, 1, 10, 2, 5, 2, 2, 10, 1, 6, 1, 10, 10, 2, 2, 1, 1, 1, 0, 2, 10, 10, 6, 2, 2, 10, 6, 1, 1, 6, 1, 2, 1, 2, 6, 10, 6, 2, 2, 1, 10, 1, 1, 1, 2, 10, 6, 5, 1, 6, 2, 2, 6, 10, 10, 2, 1, 2, 1, 1, 1, 2, 10, 10, 10, 1, 2, 1, 1, 2, 10, 1, 2, 2, 1, 2, 6, 6, 1, 1, 2, 6, 1, 6, 1, 2, 1, 2, 1, 2, 2, 10, 1, 10, 6, 1, 2, 10, 1, 1, 2, 1, 1, 2, 2, 1, 9, 1, 6, 10, 2, 2, 1, 10, 2, 6, 10, 6, 10, 2, 2, 2, 1, 10, 6, 10, 2, 10, 2, 6, 6, 10, 2, 6, 6, 10, 2, 10, 10, 10, 10, 1, 6, 1, 2, 6, 6, 2, 10, 2, 1, 10, 1, 6, 4, 6, 2, 2, 6, 6, 10, 10, 6, 2, 10, 2, 10, 10, 6, 2, 6, 10, 1, 1, 10, 1, 1, 6, 6, 6, 1, 10, 6, 6, 2, 10, 2, 40, 1, 6, 2, 6, 1, 2, 2, 2, 1, 10, 10, 2, 6, 10, 1, 6, 10, 0, 10, 10, 6, 1, 10, 4, 10, 10, 2, 10, 10, 2, 10, 1, 5, 1, 1, 1, 10, 6, 1, 6, 6, 2, 6, 6, 2, 2, 1, 6, 6, 2, 1, 10, 10, 1, 6, 2, 1, 2, 2, 1, 10, 2, 1, 6, 1, 5, 1, 10, 2, 2, 2, 10, 6, 10, 1, 2, 10, 2, 1, 10, 6, 10, 2, 2, 1, 10, 2, 10, 10, 10, 6, 6, 10, 1, 1, 10, 10, 2, 2, 2, 1, 10, 2, 9, 1, 2, 1, 2, 10, 6, 2, 1, 10, 1, 2, 6, 6, 10, 2, 10, 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10, 1, 1, 4, 6, 1, 1, 4, 1, 1, 6, 5, 1, 10, 2, 6, 1, 6, 4, 10, 1, 1, 10, 2, 2, 2, 6, 1, 10, 1, 2, 1, 6, 10, 6, 1, 6, 6, 2, 1, 6, 6, 1, 1, 6, 10, 1, 2, 10, 2, 6, 6, 10, 6, 2, 6, 1, 10, 10, 2, 2, 10, 2, 2, 6, 6, 2, 1, 1, 1, 10, 6, 6, 1, 6, 2, 2, 1, 10, 10, 6, 10, 6, 10, 2, 1, 2, 6, 10, 6, 2, 10, 2, 2, 1, 2, 6, 1, 1, 10, 2, 2, 6, 2, 1, 2, 2, 10, 10, 10, 6, 5, 1, 6, 2, 6, 10, 1, 4, 6, 6, 10, 1, 6, 6, 2, 10, 1, 2, 10, 1, 6, 10, 2, 10, 2, 2, 2, 1, 6, 10, 10, 1, 2, 6, 6, 10, 10, 6, 10, 2, 2, 1, 1, 10, 6, 6, 2, 10, 10, 10, 1, 1, 1, 6, 6, 6, 9, 10, 10, 2, 6, 2, 2, 2, 10, 2, 10, 1, 6, 10, 6, 1, 2, 1, 2, 2, 10, 6, 1, 6, 10, 1, 10, 2, 6, 6, 6, 10, 2, 2, 6, 2, 10, 2, 1, 10, 1, 1, 1, 10, 1, 10, 2, 10, 6, 1, 10, 4, 6, 6, 2, 6, 2, 6, 10, 6, 10, 2, 6, 6, 1, 10, 4, 10, 2, 6, 1, 1, 6, 6, 10, 10, 6, 2, 2, 4, 1, 2, 2, 6, 2, 1, 2, 5, 10, 1, 10, 1, 10, 6, 2, 2, 6, 1, 2, 10, 1, 1, 10, 2, 2, 6, 1, 6, 2, 6, 1, 6, 10, 2, 1, 1, 10, 6, 4, 2, 1, 2, 2, 4, 2, 2, 2, 10, 6, 1, 6, 10, 10, 1, 10, 1, 1, 2, 6, 6, 1, 10, 6, 2, 2, 1, 10, 1, 10, 1, 1, 10, 10, 6, 10, 1, 6, 6, 1, 1, 9, 6, 2, 10, 6, 1, 1, 6, 1, 10, 1, 6, 6, 6, 2, 6, 2, 1, 2, 2, 2, 10, 10, 10, 2, 6, 1, 1, 10, 10, 6, 6, 6, 10, 10, 1, 2, 1, 10, 6, 10, 10, 6, 6, 2, 6, 6, 6, 1, 6, 10, 2, 6, 10, 2, 10, 10, 6, 6, 6, 6, 6, 2, 2, 10, 1, 6, 6, 10, 2, 6, 10, 2, 10, 6, 1, 4, 10, 6, 2, 6, 2, 1, 2, 10, 6, 6, 6, 2, 2, 2, 0, 1, 1, 6, 2, 2, 2, 6, 6, 10, 10, 2, 9, 2, 1, 2, 2, 10, 10, 6, 6, 10, 2, 6, 1, 10, 1, 6, 10, 6, 1, 2, 6, 10, 1, 2, 1, 1, 10, 6, 10, 4, 6, 2, 6, 2, 2, 1, 2, 6, 5, 10, 1, 6, 2, 10, 6, 1, 10, 2, 2, 10, 6, 10, 9, 2, 1, 2, 10, 2, 4, 10, 1, 6, 1, 2, 2, 10, 1, 2, 6, 6, 1, 2, 10, 2, 10, 1, 10, 6, 6, 1, 10, 6, 6, 1, 2, 1, 6, 2, 10, 6, 1, 10, 10, 1, 10, 6, 1, 6, 1, 6, 2, 10, 2, 2, 10, 6, 6, 6, 2, 1, 10, 2, 6, 10, 10, 6, 6, 2, 1, 1, 6, 6, 6, 10, 1, 2, 6, 10, 6, 1, 10, 2, 10, 2, 2, 2, 10, 1, 10, 6, 2, 10, 10, 10, 1, 10, 1, 6, 1, 1, 2, 1, 10, 2, 6, 1, 6, 10, 10, 6, 1, 10, 10, 6, 2, 10, 2, 6, 2, 10, 1, 6, 1, 6, 10, 2, 6, 1, 6, 10, 1, 1, 10, 1, 6, 10, 0, 6, 10, 6, 1, 10, 2, 1, 10, 50, 6, 10, 1, 1, 6, 10, 1, 9, 2, 1, 2, 1, 1, 10, 10, 1, 10, 1, 1, 6, 1, 10, 1, 10, 10, 6, 10, 1, 10, 2, 1, 2, 1, 6, 2, 1, 6, 2, 2, 1, 10, 1, 0, 6, 10, 6, 6, 6, 6, 10, 6, 1, 10, 10, 10, 1, 1, 6, 6, 10, 10, 6, 1, 1, 1, 10, 1, 6, 1, 10, 10, 2, 6, 6, 2, 10, 6, 2, 1, 6, 1, 6, 2, 10, 1, 6, 1, 2, 2, 1, 10, 6, 6, 5, 10, 2, 5, 10, 6, 2, 2, 1, 6, 9, 10, 1, 2, 1, 6, 6, 1, 2, 1, 10, 6, 6, 2, 2, 1, 1, 6, 10, 10, 10, 6, 10, 2, 10, 2, 2, 6, 6, 2, 2, 1, 6, 6, 1, 4, 2, 10, 6, 10, 1, 2, 10, 6, 6, 6, 1, 1, 10, 6, 1, 2, 2, 1, 1, 6, 6, 10, 2, 1, 2, 10, 2, 1, 2, 6, 2, 2, 5, 10, 6, 1, 6, 1, 1, 1, 1, 10, 10, 6, 6, 1, 10, 6, 6, 1, 1, 6, 6, 6, 2, 6, 10, 10, 1, 2, 1, 0, 1, 1, 6, 6, 2, 10, 10, 6, 10, 2, 1, 2, 2, 1, 10, 2, 10, 6, 6, 2, 10, 6, 1, 6, 10, 2, 1, 2, 1, 10, 1, 10, 10, 2, 6, 5, 10, 0, 10, 6, 1, 2, 2, 1, 10, 2, 2, 1, 10, 1, 2, 6, 10, 2, 2, 2, 6, 10, 6, 4, 2, 1, 5, 2, 2, 1, 6, 6, 2, 6, 1, 6, 10, 1, 6, 5, 10, 4, 10, 1, 10, 1, 2, 10, 10, 2, 2, 6, 6, 10, 1, 1, 6, 6, 1, 10, 1, 1, 10, 6, 10, 10, 10, 6, 6, 1, 6, 6, 2, 2, 1, 6, 2, 10, 1, 6, 6, 2, 4, 2, 1, 10, 1, 0, 5, 1, 1, 6, 10, 6, 1, 2, 6, 6, 10, 1, 10, 1, 10, 6, 0, 10, 6, 1, 2, 10, 6, 1, 10, 6, 6, 2, 2, 1, 6, 9, 2, 6, 10, 1, 2, 6, 2, 10, 2, 10, 2, 2, 1, 6, 2, 1, 2, 7, 6, 2, 10, 2, 6, 1, 2, 10, 2, 2, 1, 10, 10, 2, 1, 10, 1, 6, 6, 6, 2, 10, 2, 10, 10, 6, 10, 1, 9, 1, 2, 1, 1, 2, 2, 2, 6, 1, 1, 6, 1, 10, 2, 2, 2, 2, 6, 10, 1, 1, 10, 6, 1, 6, 5, 9, 2, 6, 10, 1, 6, 2, 6, 1, 6, 1, 6, 2, 1, 10, 1, 10, 2, 10, 6, 1, 10, 10, 2, 6, 50, 6, 10, 6, 2, 6, 10, 10, 6, 10, 10, 9, 2, 10, 2, 6, 10, 1, 6, 6, 1, 2, 10, 2, 2, 2, 1, 10, 2, 2, 2, 2, 1, 6, 10, 2, 10, 6, 2, 1, 2, 6, 2, 9, 2, 10, 1, 2, 1, 2, 2, 2, 1, 6, 2, 1, 6, 2, 1, 10, 6, 6, 6, 10, 6, 10, 6, 1, 10, 9, 10, 6, 2, 1, 10, 2, 6, 10, 1, 6, 10, 1, 5, 2, 2, 6, 10, 6, 1, 2, 6, 10, 2, 1, 1, 6, 10, 6, 2, 1, 10, 6, 1, 1, 10, 2, 1, 1, 2, 1, 1, 10, 10, 10, 6, 6, 10, 1, 1, 10, 6, 2, 10, 10, 10, 10, 2, 10, 2, 1, 6, 10, 2, 2, 2, 1, 6, 6, 2, 6, 6, 2, 1, 10, 6, 6, 6, 6, 8, 2, 10, 10, 2, 1, 2, 6, 6, 2, 1, 2, 1, 6, 1, 1, 2, 1, 1, 6, 2, 1, 6, 6, 10, 2, 10, 1, 10, 10, 2, 10, 1, 1, 2, 1, 10, 1, 1, 2, 1, 1, 4, 0, 1, 1, 2, 6, 6, 1, 10, 2, 2, 1, 1, 10, 6, 10, 6, 1, 10, 1, 6, 6, 1, 1, 10, 2, 6, 10, 6, 2, 1, 2, 6, 4, 10, 5, 6, 2, 1, 1, 1, 1, 2, 10, 10, 6, 1, 10, 10, 2, 1, 10, 6, 10, 6, 2, 6, 1, 10, 10, 6, 6, 2, 1, 10, 6, 2, 2, 1, 1, 1, 1, 2, 10, 10, 6, 2, 1, 6, 3, 10, 6, 2, 6, 6, 1, 6, 6, 2, 10, 6, 10, 1, 1, 6, 2, 6, 6, 2, 1, 10, 10, 6, 2, 2, 10, 10, 2, 1, 2, 2, 6, 6, 5, 1, 10, 1, 2, 2, 2, 2, 6, 6, 10, 2, 9, 1, 1, 10, 1, 2, 1, 10, 10, 6, 1, 6, 1, 6, 2, 6, 6, 1, 10, 1, 2, 6, 2, 2, 2, 10, 6, 1, 2, 2, 1, 6, 1, 10, 1, 2, 1, 1, 1, 6, 2, 10, 1, 6, 6, 10, 6, 6, 10, 6, 10, 1, 6, 6, 10, 2, 6, 1, 1, 6, 2, 2, 1, 10, 1, 2, 1, 10, 6, 2, 10, 10, 6, 10, 1, 1, 10, 10, 1, 6, 10, 9, 10, 1, 2, 1, 10, 6, 6, 10, 1, 6, 1, 6, 6, 2, 2, 10, 1, 1, 6, 1, 1, 6, 1, 2, 2, 1, 10, 2, 10, 10, 1, 10, 1, 1, 10, 2, 2, 1, 4, 1, 10, 10, 6, 1, 5, 6, 6, 2, 2, 6, 2, 6, 6, 6, 1, 10, 6, 2, 10, 2, 6, 2, 2, 2, 2, 6, 2, 1, 10, 10, 2, 6, 6, 10, 1, 10, 10, 1, 10, 10, 2, 1, 1, 6, 6, 10, 6, 1, 1, 1, 1, 2, 10, 6, 10, 2, 6, 2, 6, 10, 2, 1, 10, 10, 1, 1, 2, 1, 2, 9, 10, 4, 10, 2, 1, 10, 10, 2, 2, 6, 6, 1, 2, 2, 2, 6, 1, 10, 6, 2, 2, 1, 10, 6, 1, 2, 1, 2, 6, 10, 6, 6, 10, 2, 1, 1, 10, 2, 6, 2, 1, 2, 6, 10, 1, 1, 1, 2, 10, 2, 1, 1, 2, 2, 10, 6, 1, 2, 6, 6, 10, 10, 6, 2, 6, 1, 10, 1, 6, 6, 1, 2, 2, 2, 10, 6, 10, 10, 10, 6, 10, 10, 6, 6, 1, 6, 6, 6, 2, 1, 0, 2, 10, 1, 1, 1, 10, 6, 2, 6, 1, 6, 2, 1, 10, 6, 6, 6, 1, 1, 2, 10, 9, 10, 6, 2, 10, 4, 5, 2, 1, 10, 1, 10, 2, 2, 1, 2, 1, 1, 1, 10, 6, 10, 10, 6, 2, 10, 10, 2, 2, 1, 10, 1, 6, 6, 6, 1, 6, 5, 2, 10, 4, 10, 6, 1, 10, 6, 10, 2, 2, 2, 9, 2, 1, 1, 2, 10, 6, 10, 10, 2, 1, 6, 10, 10, 10, 10, 10, 2, 5, 6, 1, 6, 6, 6, 10, 10, 1, 10, 1, 10, 6, 10, 10, 6, 2, 10, 6, 6, 10, 10, 10, 6, 2, 6, 10, 10, 2, 6, 6, 10, 2, 6, 1, 6, 10, 10, 1, 2, 1, 1, 1, 2, 6, 2, 10, 1, 2, 6, 9, 1, 1, 6, 2, 2, 6, 10, 6, 1, 10, 1, 10, 2, 6, 1, 2, 10, 10, 2, 6, 6, 2, 6, 6, 10, 6, 6, 1, 10, 2, 2, 2, 10, 1, 6, 1, 6, 6, 2, 2, 6, 2, 2, 6, 2, 10, 6, 1, 6, 1, 2, 2, 6, 1, 1, 1, 2, 6, 10, 10, 1, 10, 1, 1, 10, 1, 1, 10, 1, 1, 10, 1, 2, 2, 2, 1, 6, 2, 6, 5, 2, 10, 6, 10, 2, 6, 2, 10, 2, 6, 6, 4, 10, 6, 2, 10, 10, 2, 1, 10, 1, 2, 9, 2, 2, 6, 2, 6, 1, 10, 10, 2, 1, 10, 10, 2, 6, 2, 1, 10, 10, 1, 1, 2, 2, 2, 6, 2, 6, 2, 1, 1, 2, 2, 1, 1, 10, 2, 6, 10, 2, 2, 1, 4, 1, 2, 1, 2, 10, 2, 1, 1, 1, 2, 6, 6, 2, 6, 1, 6, 6, 1, 1, 6, 1, 2, 6, 6, 10, 2, 2, 10, 2, 10, 6, 1, 2, 5, 10, 1, 2, 10, 0, 5, 1, 2, 6, 6, 6, 10, 6, 10, 2, 10, 6, 6, 2, 2, 2, 10, 4, 1, 2, 2, 10, 1, 6, 2, 2, 10, 6, 6, 2, 2, 9, 1, 2, 10, 1, 6, 1, 6, 6, 6, 1, 1, 1, 10, 2, 2, 10, 2, 1, 10, 6, 2, 6, 10, 1, 10, 2, 2, 2, 10, 1, 2, 6, 2, 5, 10, 2, 1, 6, 6, 2, 1, 2, 2, 6, 10, 6, 2, 10, 2, 1, 2, 2, 2, 1, 10, 2, 1, 1, 6, 6, 10, 2, 2, 6, 1, 0, 2, 2, 5, 6, 10, 6, 6, 6, 2, 9, 1, 1, 1, 6, 1, 2, 2, 6, 2, 6, 2, 10, 10, 6, 10, 6, 2, 10, 2, 2, 2, 10, 2, 10, 10, 10, 2, 1, 6, 6, 2, 10, 2, 2, 1, 6, 10, 2, 1, 6, 1, 1, 10, 2, 1, 10, 1, 2, 4, 1, 1, 1, 1, 1, 10, 6, 6, 10, 6, 1, 10, 2, 2, 6, 2, 6, 1, 1, 6, 2, 2, 6, 10, 2, 10, 1, 2, 6, 2, 10, 10, 2, 6, 10, 6, 10, 10, 2, 1, 1, 10, 2, 6, 1, 2, 2, 1, 2, 1, 10, 1, 1, 10, 10, 9, 10, 2, 7, 10, 2, 10, 10, 1, 2, 10, 1, 1, 6, 2, 10, 10, 1, 6, 6, 2, 2, 6, 1, 2, 6, 2, 6, 6, 6, 1, 10, 10, 10, 1, 2, 10, 2, 10, 10, 10, 1, 1, 6, 10, 6, 1, 6, 1, 6, 2, 1, 10, 10, 9, 1, 1, 10, 2, 1, 10, 2, 10, 1, 2, 2, 2, 2, 6, 1, 10, 2, 1, 10, 1, 6, 1, 2, 10, 2, 2, 1, 10, 9, 1, 1, 6, 2, 6, 6, 10, 10, 1, 1, 4, 1, 2, 10, 6, 6, 4, 6, 2, 1, 5, 1, 1, 10, 2, 1, 10, 10, 6, 10, 6, 10, 6, 2, 2, 2, 10, 2, 1, 1, 6, 2, 10, 1, 6, 2, 1, 2, 6, 1, 2, 10, 10, 6, 10, 6, 6, 10, 10, 6, 2, 1, 2, 10, 2, 1, 1, 1, 1, 2, 6, 9, 10, 10, 6, 2, 5, 1, 1, 1, 1, 10, 10, 5, 10, 6, 4, 1, 1, 10, 1, 1, 2, 6, 1, 10, 1, 1, 10, 2, 1, 1, 2, 6, 1, 10, 2, 10, 2, 6, 1, 2, 2, 1, 1, 6, 6, 10, 10, 1, 10, 1, 2, 1, 1, 2, 6, 10, 2, 10, 10, 10, 1, 10, 1, 10, 2, 1, 2, 10, 10, 10, 2, 10, 10, 1, 4, 6, 6, 2, 1, 2, 1, 6, 1, 1, 1, 1, 2, 6, 6, 1, 10, 2, 10, 2, 1, 2, 2, 1, 10, 2, 5, 1, 6, 10, 1, 2, 1, 1, 6, 2, 10, 5, 5, 2, 10, 2, 10, 2, 6, 2, 6, 10, 6, 10, 6, 2, 1, 1, 10, 10, 10, 6, 6, 10, 6, 2, 1, 1, 1, 6, 1, 0, 6, 10, 10, 2, 6, 2, 1, 10, 6, 6, 6, 10, 2, 2, 2, 6, 10, 1, 1, 2, 6, 1, 2, 2, 10, 10, 10, 10, 2, 6, 2, 6, 10, 2, 6, 2, 2, 2, 10, 6, 1, 1, 1, 6, 2, 2, 2, 6, 2, 1, 2, 2, 5, 6, 1, 10, 1, 10, 10, 10, 6, 2, 2, 6, 10, 6, 1, 1, 1, 6, 6, 1, 2, 6, 9, 1, 2, 10, 2, 6, 1, 6, 10, 1, 2, 2, 10, 6, 2, 1, 1, 1, 1, 10, 5, 10, 1, 6, 1, 6, 6, 6, 6, 6, 2, 10, 6, 4, 5, 2, 2, 2, 6, 10, 1, 10, 2, 10, 1, 2, 6, 6, 2, 2, 1, 10, 1, 6, 10, 10, 10, 6, 2, 6, 6, 10, 2, 10, 2, 6, 10, 2, 2, 1, 2, 4, 10, 10, 1, 2, 2, 2, 10, 6, 1, 2, 6, 2, 10, 10, 1, 1, 2, 6, 10, 10, 0, 2, 6, 1, 2, 2, 10, 1, 10, 10, 6, 6, 2, 6, 6, 10, 1, 1, 2, 10, 1, 10, 2, 2, 2, 10, 6, 2, 2, 1, 1, 6, 2, 10, 2, 2, 1, 6, 2, 10, 2, 2, 6, 1, 6, 1, 1, 4, 1, 2, 10, 1, 2, 6, 6, 2, 10, 2, 10, 6, 2, 1, 10, 2, 2, 6, 1, 10, 2, 1, 4, 10, 10, 2, 6, 2, 6, 1, 10, 2, 6, 1, 1, 10, 2, 10, 1, 2, 6, 2, 0, 10, 10, 5, 2, 10, 2, 10, 6, 6, 1, 1, 6, 10, 1, 10, 2, 1, 2, 1, 1, 10, 2, 1, 6, 1, 2, 2, 1, 1, 2, 1, 2, 6, 2, 1, 10, 2, 2, 2, 2, 1, 2, 2, 6, 10, 1, 2, 1, 2, 9, 2, 6, 1, 6, 2, 10, 10, 6, 6, 2, 6, 1, 2, 1, 10, 6, 2, 10, 6, 6, 2, 2, 2, 1, 10, 10, 6, 2, 1, 1, 2, 10, 6, 2, 6, 6, 2, 2, 1, 2, 10, 6, 2, 6, 10, 1, 1, 2, 1, 6, 6, 1, 6, 10, 6, 6, 1, 2, 2, 1, 10, 10, 1, 1, 6, 1, 6, 2, 6, 10, 2, 2, 1, 10, 1, 6, 10, 2, 2, 10, 1, 6, 10, 1, 6, 1, 1, 1, 2, 1, 2, 1, 2, 1, 10, 10, 50, 1, 10, 6, 10, 6, 10, 6, 2, 2, 1, 6, 10, 2, 10, 10, 10, 2, 2, 2, 10, 1, 6, 10, 10, 1, 10, 2, 1, 10, 6, 1, 2, 10, 6, 1, 4, 10, 6, 10, 1, 1, 1, 10, 6, 1, 10, 2, 10, 2, 1, 2, 6, 6, 0, 10, 6, 1, 2, 1, 4, 1, 1, 5, 1, 10, 2, 2, 2, 2, 6, 2, 1, 10, 1, 10, 6, 2, 1, 10, 2, 2, 2, 6, 10, 2, 10, 2, 10, 10, 1, 1, 10, 1, 2, 2, 6, 6, 6, 10, 10, 6, 10, 1, 2, 1, 6, 9, 6, 1, 10, 10, 10, 2, 10, 10, 2, 1, 10, 1, 6, 2, 10, 10, 2, 1, 2, 10, 10, 2, 1, 6, 10, 10, 10, 10, 6, 6, 6, 6, 6, 2, 6, 6, 1, 6, 6, 1, 6, 2, 10, 2, 6, 2, 10, 1, 1, 6, 1, 6, 10, 6, 2, 2, 1, 1, 2, 10, 2, 6, 10, 2, 10, 2, 10, 10, 10, 6, 2, 10, 10, 2, 1, 1, 2, 2, 2, 10, 2, 1, 6, 6, 10, 1, 2, 1, 6, 1, 2, 6, 10, 5, 2, 6, 2, 10, 1, 2, 10, 9, 10, 10, 10, 6, 2, 10, 2, 1, 10, 2, 6, 10, 6, 10, 2, 6, 10, 1, 0, 1, 1, 6, 2, 1, 2, 4, 10, 10, 6, 1, 1, 6, 1, 10, 2, 1, 10, 10, 1, 1, 10, 6, 10, 1, 6, 1, 6, 6, 1, 1, 10, 2, 2, 2, 6, 4, 10, 2, 10, 2, 2, 10, 2, 1, 4, 2, 1, 6, 6, 2, 9, 6, 2, 1, 9, 1, 6, 6, 2, 1, 6, 0, 1, 10, 6, 10, 2, 1, 2, 1, 1, 2, 10, 10, 10, 6, 2, 2, 2, 9, 6, 6, 6, 2, 10, 10, 1, 2, 2, 1, 1, 1, 1, 1, 6, 10, 2, 0, 6, 10, 6, 2, 6, 10, 1, 10, 2, 2, 10, 2, 1, 1, 6, 6, 2, 10, 6, 1, 6, 6, 6, 2, 1, 10, 10, 6, 1, 2, 2, 10, 2, 6, 1, 6, 6, 10, 2, 6, 6, 6, 2, 1, 2, 1, 1, 10, 6, 2, 10, 10, 10, 10, 6, 2, 1, 1, 2, 1, 6, 2, 1, 2, 10, 6, 10, 10, 6, 2, 5, 6, 1, 10, 2, 6, 1, 6, 10, 1, 6, 2, 6, 6, 10, 1, 10, 1, 2, 1, 6, 5, 6, 10, 10, 2, 2, 1, 2, 2, 6, 1, 1, 10, 10, 6, 4, 1, 1, 6, 2, 2, 1, 6, 1, 6, 6, 1, 1, 6, 6, 10, 6, 2, 6, 10, 6, 1, 6, 1, 6, 1, 10, 1, 1, 10, 6, 10, 2, 2, 10, 1, 2, 1, 1, 10, 2, 2, 2, 1, 2, 6, 1, 2, 6, 1, 10, 1, 1, 10, 2, 6, 10, 1, 1, 10, 6, 1, 6, 10, 6, 6, 2, 6, 4, 6, 2, 10, 6, 1, 1, 2, 6, 6, 2, 6, 1, 2, 1, 1, 6, 1, 2, 1, 9, 1, 6, 6, 6, 2, 1, 6, 2, 50, 6, 1, 2, 2, 1, 10, 10, 6, 10, 1, 10, 2, 9, 6, 2, 1, 2, 0, 1, 10, 1, 2, 1, 2, 10, 1, 10, 6, 2, 2, 10, 10, 1, 6, 5, 1, 6, 6, 6, 2, 10, 6, 10, 10, 6, 1, 1, 2, 1, 1, 10, 1, 10, 10, 10, 1, 1, 9, 1, 2, 10, 10, 6, 6, 10, 10, 10, 10, 1, 6, 6, 1, 10, 2, 6, 10, 10, 6, 2, 6, 1, 2, 10, 6, 6, 1, 6, 6, 2, 10, 1, 1, 2, 6, 10, 6, 1, 1, 2, 1, 2, 10, 1, 1, 6, 10, 1, 2, 10, 4, 1, 6, 6, 2, 6, 2, 10, 2, 10, 6, 10, 6, 10, 10, 2, 2, 10, 10, 10, 1, 6, 2, 2, 2, 2, 6, 1, 2, 1, 1, 2, 5, 1, 1, 0, 10, 6, 2, 1, 2, 2, 10, 1, 1, 1, 6, 2, 10, 10, 2, 1, 4, 1, 1, 1, 6, 1, 2, 10, 1, 10, 1, 6, 1, 6, 2, 2, 10, 1, 1, 10, 10, 6, 1, 10, 5, 10, 10, 10, 6, 10, 6, 1, 6, 2, 1, 6, 2, 2, 10, 2, 2, 0, 6, 2, 2, 6, 10, 1, 10, 10, 10, 1, 2, 10, 6, 10, 2, 6, 2, 1, 2, 6, 2, 10, 6, 10, 10, 6, 2, 6, 2, 6, 6, 10, 2, 2, 10, 1, 10, 10, 6, 10, 6, 10, 10, 5, 6, 1, 2, 6, 6, 10, 6, 10, 6, 6, 6, 10, 10, 1, 10, 1, 1, 2, 10, 10, 10, 6, 10, 2, 6, 1, 10, 6, 10, 1, 5, 1, 2, 6, 1, 1, 1, 10, 1, 6, 6, 1, 2, 2, 2, 6, 6, 2, 6, 1, 6, 10, 6, 10, 1, 6, 6, 10, 1, 1, 2, 2, 6, 2, 10, 1, 6, 1, 6, 2, 1, 2, 2, 2, 6, 10, 2, 10, 1, 6, 5, 1, 6, 2, 6, 1, 1, 10, 2, 0, 1, 6, 0, 1, 6, 2, 10, 1, 2, 2, 10, 10, 10, 6, 10, 2, 10, 2, 10, 1, 2, 10, 6, 1, 1, 2, 10, 10, 6, 2, 2, 2, 10, 10, 6, 1, 1, 1, 10, 2, 10, 6, 1, 6, 10, 6, 1, 2, 6, 6, 2, 10, 2, 6, 2, 10, 1, 6, 2, 10, 2, 10, 1, 6, 1, 1, 1, 10, 10, 6, 6, 1, 1, 1, 2, 6, 10, 1, 10, 10, 10, 1, 10, 10, 6, 10, 6, 6, 1, 5, 2, 2, 6, 10, 1, 1, 6, 10, 10, 10, 1, 1, 6, 1, 10, 2, 2, 10, 1, 2, 10, 6, 6, 2, 2, 1, 1, 1, 2, 2, 10, 2, 10, 2, 10, 10, 6, 1, 6, 10, 1, 1, 6, 6, 6, 10, 1, 10, 2, 2, 2, 6, 1, 6, 6, 1, 10, 2, 6, 10, 1, 2, 1, 6, 2, 10, 10, 1, 1, 1, 1, 1, 2, 6, 10, 2, 10, 2, 6, 5, 1, 2, 2, 10, 6, 1, 6, 10, 6, 6, 10, 0, 2, 1, 2, 10, 10, 2, 2, 10, 1, 2, 6, 2, 2, 2, 6, 2, 2, 10, 6, 10, 10, 2, 10, 10, 1, 2, 10, 6, 2, 6, 1, 2, 10, 1, 2, 1, 2, 10, 2, 10, 6, 10, 10, 10, 6, 1, 10, 10, 1, 1, 1, 2, 10, 1, 2, 2, 1, 2, 1, 10, 1, 1, 6, 10, 2, 2, 10, 9, 10, 10, 10, 10, 1, 1, 10, 6, 6, 10, 1, 6, 10, 2, 1, 2, 2, 2, 10, 2, 10, 6, 6, 6, 6, 6, 10, 1, 1, 10, 1, 10, 10, 10, 1, 10, 2, 2, 2, 10, 2, 2, 1, 2, 2, 1, 9, 2, 10, 1, 6, 10, 1, 1, 6, 10, 6, 10, 1, 6, 10, 6, 1, 10, 1, 10, 1, 10, 1, 1, 10, 10, 2, 1, 1, 2, 1, 1, 10, 9, 2, 1, 10, 2, 1, 6, 10, 2, 2, 6, 10, 6, 2, 1, 1, 10, 6, 2, 10, 10, 10, 10, 10, 2, 1, 2, 10, 6, 1, 0, 1, 10, 10, 1, 10, 6, 10, 1, 1, 2, 2, 6, 10, 10, 6, 2, 2, 10, 2, 10, 6, 9, 6, 6, 6, 2, 2, 10, 1, 6, 1, 2, 6, 1, 6, 1, 6, 2, 1, 1, 6, 10, 1, 10, 2, 1, 1, 1, 1, 1, 6, 6, 10, 4, 2, 10, 2, 10, 2, 2, 2, 6, 2, 1, 10, 6, 1, 6, 6, 1, 10, 10, 1, 1, 6, 6, 1, 1, 6, 4, 1, 1, 2, 2, 10, 2, 6, 1, 10, 1, 1, 10, 2, 1, 6, 1, 10, 2, 1, 6, 10, 6, 6, 5, 6, 6, 10, 10, 10, 2, 10, 10, 1, 1, 2, 0, 10, 2, 1, 10, 2, 2, 2, 6, 2, 1, 1, 6, 1, 2, 0, 10, 1, 6, 10, 10, 1, 1, 6, 2, 1, 10, 2, 10, 6, 10, 6, 6, 2, 1, 6, 5, 6, 6, 2, 2, 6, 2, 6, 10, 2, 5, 2, 1, 6, 1, 2, 10, 10, 6, 10, 1, 10, 1, 10, 2, 10, 9, 6, 10, 10, 6, 6, 10, 1, 10, 2, 1, 2, 1, 1, 10, 5, 10, 5, 6, 2, 6, 1, 10, 2, 6, 6, 10, 1, 6, 6, 6, 10, 2, 1, 1, 6, 10, 5, 6, 6, 1, 6, 1, 1, 6, 6, 5, 6, 10, 1, 10, 6, 10, 2, 10, 5, 6, 2, 6, 6, 2, 6, 6, 1, 1, 10, 1, 1, 1, 1, 2, 2, 6, 1, 2, 10, 2, 6, 10, 10, 1, 1, 6, 2, 0, 6, 1, 6, 10, 5, 1, 6, 10, 6, 2, 10, 6, 2, 1, 6, 2, 2, 10, 10, 10, 2, 6, 2, 2, 10, 6, 10, 10, 6, 6, 2, 6, 0, 1, 1, 10, 2, 10, 10, 10, 6, 1, 1, 1, 2, 1, 10, 1, 2, 2, 10, 0, 6, 1, 2, 6, 1, 2, 2, 10, 1, 1, 2, 4, 10, 1, 6, 2, 2, 2, 10, 2, 6, 6, 2, 1, 1, 10, 6, 10, 2, 2, 10, 1, 1, 10, 6, 2, 2, 6, 6, 6, 6, 6, 2, 1, 10, 6, 10, 1, 2, 4, 2, 10, 6, 6, 2, 2, 1, 1, 10, 10, 10, 10, 1, 1, 1, 10, 10, 10, 1, 1, 6, 2, 6, 2, 2, 1, 1, 1, 50, 2, 6, 1, 1, 6, 1, 6, 10, 2, 1, 10, 1, 2, 10, 2, 2, 6, 2, 2, 10, 0, 1, 10, 5, 10, 1, 2, 1, 6, 5, 1, 2, 2, 10, 6, 10, 6, 10, 1, 2, 1, 2, 10, 6, 6, 2, 6, 1, 2, 2, 10, 1, 2, 4, 6, 2, 1, 1, 2, 10, 2, 4, 2, 6, 10, 10, 10, 1, 10, 2, 1, 1, 10, 10, 10, 1, 2, 6, 6, 6, 10, 2, 10, 6, 1, 1, 1, 6, 6, 10, 6, 1, 10, 2, 2, 6, 1, 6, 6, 5, 6, 1, 4, 2, 10, 2, 2, 10, 6, 2, 10, 10, 2, 1, 6, 2, 10, 6, 1, 5, 2, 6, 2, 2, 2, 10, 10, 2, 2, 10, 2, 6, 2, 10, 1, 6, 2, 2, 4, 10, 10, 10, 1, 2, 10, 6, 5, 1, 2, 6, 10, 1, 2, 6, 6, 6, 5, 10, 10, 1, 2, 2, 10, 6, 6, 6, 2, 1, 2, 2, 1, 2, 10, 2, 2, 10, 10, 6, 2, 4, 6, 6, 5, 6, 1, 1, 6, 6, 1, 5, 2, 5, 4, 6, 6, 1, 6, 10, 1, 2, 2, 6, 2, 2, 10, 6, 1, 1, 1, 2, 6, 2, 6, 1, 2, 10, 2, 1, 2, 2, 6, 2, 10, 6, 1, 2, 6, 2, 1, 1, 1, 2, 10, 10, 2, 10, 2, 10, 10, 1, 4, 6, 2, 1, 10, 1, 1, 2, 2, 2, 10, 2, 2, 1, 10, 10, 2, 6, 10, 6, 10, 1, 4, 6, 1, 10, 1, 2, 1, 1, 10, 1, 10, 1, 6, 1, 10, 10, 10, 1, 6, 10, 1, 1, 10, 10, 6, 10, 1, 10, 1, 10, 10, 10, 2, 6, 10, 2, 4, 2, 1, 6, 1, 10, 10, 6, 10, 6, 6, 10, 6, 6, 1, 1, 1, 6, 6, 2, 6, 2, 1, 1, 6, 6, 6, 6, 1, 6, 2, 1, 6, 6, 1, 6, 10, 6, 2, 2, 10, 2, 2, 10, 1, 10, 6, 2, 6, 1, 6, 1, 5, 2, 1, 6, 6, 2, 1, 10, 6, 1, 2, 10, 1, 2, 1, 1, 6, 9, 6, 6, 2, 6, 1, 2, 1, 2, 1, 1, 1, 2, 10, 6, 6, 0, 1, 1, 10, 1, 10, 1, 2, 1, 1, 6, 0, 2, 2, 1, 2, 10, 10, 2, 1, 6, 2, 10, 2, 1, 10, 1, 10, 6, 1, 1, 1, 6, 1, 10, 10, 6, 10, 2, 6, 2, 10, 6, 5, 1, 6, 10, 2, 1, 10, 10, 10, 10, 2, 2, 2, 9, 10, 2, 1, 1, 1, 6, 2, 2, 6, 10, 1, 10, 6, 2, 2, 10, 2, 1, 10, 10, 1, 6, 10, 2, 10, 2, 10, 10, 2, 6, 2, 9, 2, 1, 1, 10, 1, 10, 10, 6, 6, 10, 2, 6, 10, 1, 1, 1, 10, 2, 10, 1, 6, 10, 10, 10, 6, 6, 1, 1, 6, 0, 1, 2, 6, 6, 10, 2, 10, 2, 6, 6, 2, 2, 9, 10, 6, 6, 2, 6, 1, 6, 1, 10, 1, 2, 2, 0, 1, 6, 1, 1, 6, 6, 1, 1, 6, 10, 6, 1, 1, 1, 6, 1, 10, 6, 1, 2, 6, 1, 2, 2, 6, 6, 2, 1, 1, 1, 2, 10, 10, 1, 6, 6, 10, 6, 1, 1, 1, 1, 1, 1, 6, 6, 10, 1, 2, 6, 2, 9, 1, 9, 6, 1, 6, 10, 10, 2, 10, 10, 6, 2, 6, 10, 10, 1, 2, 10, 6, 6, 10, 6, 2, 2, 2, 10, 1, 2, 6, 1, 2, 10, 10, 1, 1, 10, 10, 10, 1, 2, 10, 10, 1, 1, 10, 10, 1, 2, 6, 1, 1, 2, 10, 0, 1, 1, 10, 10, 1, 6, 2, 1, 6, 0, 1, 2, 1, 2, 10, 10, 10, 2, 1, 2, 2, 6, 2, 6, 2, 2, 10, 6, 10, 10, 6, 2, 5, 2, 1, 1, 2, 6, 2, 1, 10, 2, 1, 1, 1, 1, 2, 6, 6, 10, 10, 10, 2, 10, 2, 1, 2, 1, 9, 2, 1, 6, 1, 1, 10, 1, 10, 1, 2, 10, 2, 10, 1, 10, 1, 10, 2, 10, 6, 2, 2, 6, 6, 1, 5, 1, 6, 6, 10, 10, 6, 1, 6, 6, 10, 9, 1, 10, 6, 6, 0, 10, 6, 2, 2, 10, 0, 6, 1, 2, 10, 2, 6, 2, 10, 10, 1, 6, 1, 1, 1, 6, 2, 2, 6, 2, 2, 6, 6, 10, 2, 2, 2, 2, 2, 10, 2, 10, 10, 1, 2, 6, 1, 1, 2, 2, 10, 10, 2, 6, 2, 10, 10, 1, 6, 2, 2, 2, 6, 2, 10, 2, 2, 6, 10, 10, 1, 6, 6, 5, 6, 2, 10, 6, 10, 6, 5, 1, 10, 2, 6, 6, 6, 10, 10, 10, 2, 2, 6, 10, 6, 2, 1, 1, 10, 2, 6, 1, 2, 2, 10, 1, 1, 10, 6, 6, 10, 1, 1, 2, 1, 6, 2, 2, 10, 2, 1, 2, 6, 1, 1, 2, 1, 10, 6, 6, 6, 2, 2, 1, 10, 10, 10, 2, 1, 10, 6, 1, 2, 1, 1, 2, 10, 1, 6, 6, 10, 6, 2, 10, 6, 10, 1, 2, 10, 6, 1, 2, 2, 2, 1, 10, 2, 10, 2, 1, 2, 10, 2, 1, 1, 1, 1, 2, 6, 6, 1, 6, 10, 10, 1, 6, 6, 1, 6, 2, 10, 1, 6, 10, 6, 6, 6, 2, 2, 10, 1, 1, 1, 10, 6, 2, 10, 1, 4, 1, 6, 1, 6, 1, 6, 6, 2, 10, 10, 6, 6, 10, 1, 2, 10, 2, 2, 2, 2, 10, 10, 0, 2, 10, 6, 1, 10, 2, 1, 2, 1, 2, 6, 1, 10, 6, 10, 10, 2, 2, 2, 0, 2, 1, 6, 5, 6, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 10, 2, 2, 2, 10, 2, 6, 2, 1, 2, 6, 6, 2, 10, 2, 1, 6, 1, 10, 1, 6, 10, 6, 5, 10, 10, 2, 1, 2, 1, 6, 1, 2, 6, 6, 60, 2, 1, 2, 1, 2, 10, 1, 2, 1, 1, 6, 1, 2, 1, 1, 10, 10, 6, 2, 1, 2, 10, 6, 1, 6, 2, 1, 6, 6, 2, 10, 6, 1, 2, 10, 2, 10, 10, 6, 10, 1, 6, 6, 6, 10, 10, 1, 2, 2, 6, 2, 2, 10, 10, 2, 8, 6, 6, 10, 1, 1, 10, 2, 2, 6, 2, 1, 6, 1, 2, 10, 6, 1, 6, 2, 1, 10, 6, 6, 40, 2, 6, 1, 2, 6, 1, 10, 1, 2, 1, 2, 1, 1, 4, 2, 10, 2, 6, 1, 2, 10, 10, 1, 4, 2, 1, 6, 1, 1, 10, 0, 1, 10, 1, 10, 10, 6, 5, 2, 1, 3, 10, 1, 50, 1, 10, 10, 10, 1, 10, 6, 6, 10, 1, 6, 9, 2, 6, 10, 2, 6, 1, 4, 2, 1, 10, 2, 1, 6, 6, 6, 1, 6, 2, 2, 2, 2, 6, 10, 6, 1, 6, 6, 2, 10, 1, 2, 1, 6, 1, 6, 2, 1, 10, 1, 2, 10, 1, 2, 2, 2, 1, 6, 10, 1, 2, 0, 1, 2, 10, 2, 4, 6, 2, 2, 4, 10, 1, 6, 6, 10, 1, 10, 10, 6, 6, 1, 5, 10, 2, 1, 1, 2, 6, 10, 1, 1, 10, 2, 1, 1, 2, 6, 1, 2, 6, 6, 1, 10, 1, 6, 10, 10, 6, 2, 1, 10, 10, 10, 10, 1, 1, 2, 4, 10, 2, 2, 2, 1, 6, 6, 2, 6, 10, 10, 6, 2, 6, 0, 2, 1, 1, 9, 1, 6, 2, 1, 10, 6, 10, 6, 6, 10, 2, 2, 1, 2, 2, 2, 1, 6, 6, 2, 10, 2, 1, 6, 1, 10, 2, 6, 1, 2, 0, 6, 10, 6, 6, 6, 10, 6, 10, 6, 1, 6, 10, 2, 10, 2, 1, 1, 6, 10, 10, 10, 2, 1, 10, 6, 2, 6, 10, 6, 1, 6, 1, 2, 1, 2, 9, 2, 2, 1, 2, 10, 2, 10, 10, 10, 6, 9, 2, 2, 2, 10, 2, 6, 1, 1, 10, 10, 6, 6, 2, 10, 10, 2, 2, 6, 1, 4, 6, 6, 10, 1, 2, 1, 6, 10, 10, 8, 10, 2, 6, 10, 10, 10, 10, 10, 10, 6, 6, 6, 6, 6, 2, 6, 1, 10, 6, 1, 1, 10, 1, 2, 2, 2, 10, 9, 1, 10, 1, 2, 6, 1, 10, 1, 10, 1, 10, 6, 10, 5, 1, 6, 2, 6, 1, 6, 1, 2, 2, 2, 2, 1, 2, 9, 2, 1, 1, 6, 10, 10, 1, 1, 6, 6, 1, 2, 5, 6, 0, 10, 2, 1, 6, 1, 10, 2, 6, 1, 6, 1, 2, 10, 1, 1, 10, 6, 2, 1, 10, 10, 1, 1, 2, 1, 2, 6, 6, 6, 6, 6, 1, 1, 1, 6, 60, 2, 2, 10, 10, 1, 10, 6, 10, 10, 10, 1, 10, 2, 6, 1, 2, 6, 10, 6, 2, 10, 6, 2, 2, 6, 10, 1, 6, 10, 10, 10, 1, 2, 6, 1, 6, 1, 6, 10, 2, 5, 1, 10, 2, 1, 6, 1, 5, 1, 6, 1, 6, 6, 2, 6, 2, 6, 2, 6, 10, 2, 2, 0, 10, 6, 10, 6, 6, 6, 6, 2, 0, 6, 6, 1, 6, 6, 2, 10, 10, 10, 10, 2, 6, 10, 10, 10, 10, 10, 1, 10, 6, 10, 6, 10, 6, 2, 1, 2, 10, 1, 10, 6, 6, 2, 6, 10, 2, 6, 10, 10, 2, 1, 6, 1, 1, 2, 2, 1, 10, 6, 1, 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10, 2, 1, 1, 6, 2, 1, 6, 1, 2, 10, 6, 1, 6, 6, 4, 6, 1, 1, 1, 6, 2, 2, 10, 1, 1, 2, 10, 1, 2, 6, 4, 6, 1, 6, 10, 2, 1, 4, 6, 2, 2, 6, 6, 2, 1, 1, 10, 1, 10, 10, 2, 6, 2, 1, 6, 10, 1, 10, 1, 1, 2, 1, 1, 6, 6, 1, 10, 10, 6, 2, 1, 6, 1, 10, 9, 2, 10, 2, 10, 2, 1, 10, 10, 10, 10, 9, 6, 1, 1, 1, 10, 6, 10, 2, 6, 2, 6, 1, 2, 10, 10, 2, 6, 10, 1, 2, 2, 10, 10, 10, 6, 6, 1, 0, 2, 10, 1, 1, 10, 2, 10, 10, 6, 1, 1, 6, 2, 6, 2, 6, 6, 2, 6, 10, 10, 2, 6, 10, 2, 6, 10, 6, 1, 2, 1, 6, 6, 2, 10, 1, 1, 10, 2, 1, 1, 1, 10, 6, 10, 6, 10, 9, 2, 10, 6, 10, 1, 1, 6, 6, 2, 2, 10, 10, 2, 6, 2, 6, 1, 5, 6, 2, 2, 2, 2, 5, 10, 1, 6, 1, 6, 2, 6, 10, 1, 2, 1, 10, 10, 1, 6, 6, 2, 1, 2, 10, 6, 6, 6, 10, 6, 6, 10, 6, 10, 10, 1, 2, 1, 1, 6, 10, 1, 1, 10, 10, 1, 2, 1, 1, 10, 2, 2, 2, 2, 10, 6, 2, 10, 2, 1, 6, 6, 9, 6, 10, 2, 10, 2, 6, 1, 5, 6, 6, 10, 1, 6, 6, 10, 1, 2, 10, 10, 6, 2, 6, 6, 10, 2, 10, 10, 2, 10, 10, 1, 1, 9, 1, 1, 10, 6, 1, 2, 1, 6, 10, 6, 10, 2, 6, 2, 1, 10, 2, 1, 1, 1, 1, 2, 10, 10, 1, 1, 2, 1, 2, 2, 1, 6, 2, 1, 4, 2, 6, 6, 6, 1, 6, 6, 10, 6, 1, 6, 2, 6, 2, 2, 1, 9, 1, 6, 10, 10, 2, 10, 6, 2, 2, 2, 2, 1, 1, 10, 10, 2, 6, 2, 2, 10, 6, 1, 2, 2, 10, 2, 10, 10, 10, 2, 1, 1, 2, 6, 1, 1, 6, 10, 10, 2, 1, 2, 2, 2, 9, 10, 1, 6, 2, 10, 1, 1, 10, 6, 1, 6, 6, 1, 6, 6, 1, 6, 9, 6, 1, 1, 1, 6, 1, 10, 10, 2, 6, 6, 2, 1, 2, 2, 6, 2, 2, 2, 2, 10, 1, 10, 1, 10, 10, 10, 1, 6, 6, 2, 10, 1, 10, 1, 2, 2, 2, 2, 10, 2, 10, 2, 6, 6, 6, 10, 10, 6, 2, 6, 6, 6, 1, 6, 2, 10, 6, 2, 10, 2, 7, 1, 1, 2, 6, 6, 10, 1, 2, 6, 6, 10, 6, 2, 10, 2, 2, 10, 1, 10, 10, 10, 5, 1, 10, 1, 1, 1, 10, 1, 10, 10, 10, 1, 1, 2, 10, 4, 6, 10, 9, 10, 1, 2, 1, 2, 10, 6, 10, 6, 2, 1, 0, 6, 6, 10, 6, 2, 1, 1, 10, 10, 1, 2, 10, 2, 6, 10, 10, 2, 1, 1, 10, 10, 1, 6, 9, 0, 2, 10, 6, 2, 6, 2, 1, 1, 6, 6, 2, 6, 10, 6, 10, 10, 1, 6, 40, 2, 0, 2, 6, 1, 1, 1, 2, 10, 0, 10, 6, 6, 10, 10, 1, 2, 2, 10, 6, 6, 1, 2, 6, 10, 2, 1, 1, 2, 6, 2, 1, 1, 1, 6, 10, 2, 10, 6, 2, 10, 10, 6, 6, 2, 2, 2, 2, 2, 10, 1, 6, 6, 1, 6, 1, 2, 10, 2, 1, 6, 2, 5, 6, 1, 1, 10, 0, 10, 1, 10, 10, 6, 6, 2, 10, 2, 10, 1, 10, 10, 2, 6, 6, 2, 6, 6, 10, 10, 1, 2, 1, 2, 6, 6, 1, 5, 6, 10, 10, 6, 6, 6, 6, 10, 6, 10, 10, 6, 10, 6, 10, 1, 2, 2, 2, 2, 10, 2, 5, 10, 1, 10, 0, 1, 2, 2, 2, 10, 6, 2, 1, 6, 1, 1, 1, 10, 2, 1, 6, 6, 1, 10, 6, 60, 2, 10, 6, 6, 1, 10, 6, 2, 6, 0, 6, 1, 1, 2, 1, 6, 2, 1, 10, 10, 2, 6, 1, 2, 2, 2, 10, 10, 6, 6, 10, 1, 2, 2, 10, 10, 6, 10, 10, 1, 2, 1, 10, 1, 6, 1, 2, 10, 2, 10, 6, 6, 1, 6, 2, 4, 6, 6, 2, 2, 6, 2, 1, 2, 6, 2, 10, 1, 10, 6, 10, 6, 1, 6, 2, 1, 10, 1, 2, 10, 10, 1, 1, 10, 6, 1, 10, 1, 4, 6, 2, 6, 2, 1, 10, 10, 10, 10, 2, 2, 6, 2, 2, 1, 2, 2, 10, 1, 10, 1, 6, 10, 2, 1, 6, 1, 6, 10, 10, 6, 6, 1, 2, 1, 1, 10, 10, 1, 1, 1, 10, 10, 6, 1, 1, 1, 6, 1, 10, 10, 10, 10, 6, 6, 10, 6, 6, 1, 1, 2, 2, 10, 1, 2, 10, 10, 1, 2, 6, 2, 2, 2, 1, 2, 2, 1, 6, 1, 6, 2, 2, 2, 10, 2, 1, 1, 10, 2, 6, 10, 4, 6, 1, 2, 10, 6, 2, 10, 10, 6, 10, 10, 1, 1, 2, 1, 2, 2, 1, 10, 6, 1, 1, 2, 2, 10, 1, 10, 2, 2, 10, 6, 6, 2, 6, 6, 1, 1, 10, 6, 1, 2, 2, 1, 6, 6, 6, 2, 10, 1, 2, 6, 1, 1, 6, 6, 10, 10, 1, 6, 10, 6, 1, 1, 6, 4, 2, 1, 6, 6, 1, 2, 1, 1, 10, 10, 6, 6, 10, 1, 1, 6, 10, 2, 10, 10, 2, 1, 0, 2, 2, 2, 1, 2, 6, 1, 6, 6, 1, 6, 5, 6, 6, 2, 6, 10, 6, 6, 1, 10, 2, 10, 1, 1, 10, 10, 10, 2, 1, 1, 6, 6, 1, 10, 10, 2, 6, 6, 1, 1, 1, 10, 10, 1, 2, 10, 2, 2, 10, 6, 10, 6, 10, 2, 10, 1, 10, 6, 1, 4, 1, 2, 10, 10, 6, 10, 1, 2, 2, 2, 10, 1, 2, 10, 10, 10, 10, 10, 6, 10, 6, 10, 6, 1, 1, 6, 2, 6, 2, 6, 1, 2, 10, 10, 6, 1, 2, 10, 10, 6, 6, 1, 2, 10, 1, 6, 6, 2, 6, 2, 6, 2, 6, 10, 2, 6, 6, 10, 2, 2, 1, 1, 6, 6, 1, 1, 1, 2, 2, 6, 6, 10, 10, 2, 1, 6, 4, 1, 1, 6, 60, 2, 6, 2, 10, 6, 10, 1, 1, 1, 2, 10, 2, 10, 1, 6, 2, 6, 6, 10, 10, 1, 6, 6, 10, 10, 10, 2, 6, 10, 10, 2, 1, 10, 10, 2, 6, 6, 1, 6, 10, 1, 1, 10, 6, 10, 1, 2, 6, 2, 1, 6, 1, 2, 6, 6, 1, 1, 2, 10, 6, 2, 6, 5, 6, 1, 6, 6, 2, 6, 2, 1, 2, 10, 4, 0, 10, 2, 2, 6, 6, 2, 1, 1, 6, 6, 2, 6, 6, 2, 2, 2, 1, 1, 2, 2, 1, 6, 6, 10, 6, 6, 10, 6, 2, 2, 6, 6, 1, 1, 2, 2, 6, 6, 1, 4, 2, 1, 2, 10, 9, 2, 1, 1, 2, 2, 10, 10, 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10, 10, 2, 1, 2, 2, 10, 1, 10, 1, 6, 6, 10, 1, 1, 1, 6, 6, 1, 2, 1, 10, 10, 2, 1, 1, 1, 2, 6, 2, 6, 2, 1, 6, 10, 10, 2, 6, 6, 2, 6, 1, 6, 1, 2, 6, 1, 1, 1, 1, 1, 6, 6, 2, 1, 6, 9, 6, 10, 2, 6, 6, 1, 2, 10, 0, 2, 10, 10, 1, 6, 1, 10, 10, 10, 2, 0, 6, 6, 1, 6, 2, 4, 6, 6, 1, 1, 1, 6, 10, 1, 5, 5, 6, 10, 1, 1, 1, 6, 60, 10, 6, 1, 6, 1, 1, 1, 1, 10, 6, 2, 6, 2, 2, 2, 1, 1, 4, 6, 10, 6, 10, 1, 9, 2, 10, 1, 6, 2, 1, 6, 10, 10, 2, 2, 1, 2, 1, 2, 2, 5, 2, 2, 10, 2, 1, 2, 2, 10, 2, 1, 10, 1, 6, 1, 10, 10, 10, 2, 10, 2, 6, 2, 2, 2, 10, 2, 6, 1, 1, 2, 6, 10, 10, 6, 1, 6, 6, 2, 1, 1, 2, 1, 2, 2, 1, 6, 1, 6, 2, 9, 10, 2, 2, 10, 2, 2, 6, 2, 1, 1, 1, 2, 10, 2, 10, 6, 1, 6, 1, 1, 10, 2, 10, 6, 6, 1, 6, 10, 10, 6, 2, 2, 10, 1, 1, 1, 1, 6, 5, 1, 1, 1, 2, 2, 8, 2, 1, 2, 10, 10, 2, 1, 2, 10, 6, 6, 6, 2, 6, 1, 2, 1, 6, 40, 6, 10, 6, 4, 10, 10, 10, 2, 1, 10, 6, 6, 2, 2, 2, 1, 1, 10, 2, 1, 2, 1, 2, 10, 2, 6, 10, 2, 1, 2, 2, 2, 2, 2, 6, 6, 6, 1, 2, 2, 6, 10, 2, 4, 10, 1, 0, 4, 10, 2, 1, 1, 10, 6, 6, 10, 10, 6, 6, 6, 2, 10, 2, 1, 2, 0, 1, 1, 2, 6, 2, 9, 6, 1, 1, 2, 2, 10, 1, 1, 2, 1, 1, 1, 9, 10, 6, 10, 2, 2, 10, 6, 2, 2, 1, 2, 6, 2, 1, 4, 1, 10, 1, 6, 10, 2, 2, 2, 1, 1, 10, 6, 1, 10, 6, 10, 2, 6, 10, 1, 10, 6, 10, 6, 10, 10, 2, 1, 2, 6, 1, 10, 10, 1, 2, 1, 1, 10, 1, 2, 6, 2, 10, 6, 6, 10, 10, 1, 2, 2, 6, 6, 6, 6, 10, 1, 10, 10, 6, 6, 10, 2, 2, 1, 2, 0, 2, 10, 10, 1, 1, 10, 6, 10, 2, 6, 6, 6, 10, 2, 1, 6, 10, 1, 1, 10, 10, 10, 6, 6, 6, 1, 10, 10, 10, 2, 6, 2, 10, 10, 6, 6, 6, 1, 6, 6, 6, 10, 1, 2, 6, 2, 2, 6, 10, 2, 6, 10, 2, 6, 2, 6, 1, 2, 10, 10, 10, 2, 1, 6, 10, 10, 2, 10, 2, 1, 2, 1, 2, 2, 1, 1, 2, 10, 6, 1, 2, 1, 10, 5, 1, 10, 2, 1, 6, 6, 10, 6, 1, 10, 10, 2, 5, 10, 4, 10, 2, 10, 1, 2, 10, 1, 1, 1, 1, 1, 6, 2, 6, 1, 10, 10, 6, 1, 2, 10, 2, 1, 1, 1, 6, 10, 6, 1, 10, 1, 2, 2, 6, 10, 6, 10, 1, 10, 1, 10, 2, 10, 6, 2, 2, 2, 2, 4, 1, 10, 2, 2, 10, 1, 1, 1, 10, 6, 6, 6, 10, 2, 10, 2, 2, 10, 2, 1, 2, 10, 2, 6, 4, 10, 10, 6, 1, 2, 6, 6, 10, 6, 6, 2, 6, 1, 1, 6, 10, 1, 6, 6, 6, 10, 2, 1, 10, 6, 1, 10, 2, 2, 6, 6, 2, 5, 1, 10, 10, 1, 1, 6, 1, 1, 2, 6, 2, 2, 6, 1, 2, 6, 6, 10, 1, 10, 6, 6, 10, 2, 10, 10, 2, 1, 10, 6, 6, 4, 4, 6, 6, 10, 2, 1, 6, 2, 0, 2, 1, 4, 6, 1, 5, 1, 10, 6, 6, 10, 1, 2, 1, 6, 4, 1, 2, 5, 10, 6, 0, 2, 2, 10, 10, 6, 10, 2, 1, 6, 4, 10, 10, 2, 1, 1, 2, 2, 10, 1, 1, 2, 6, 2, 6, 6, 1, 10, 2, 2, 6, 2, 2, 2, 1, 1, 10, 1, 10, 2, 10, 10, 2, 2, 1, 10, 1, 6, 6, 2, 6, 5, 1, 6, 6, 1, 10, 2, 10, 10, 10, 6, 1, 1, 2, 5, 2, 2, 2, 1, 6, 1, 10, 6, 10, 6, 2, 6, 6, 0, 1, 10, 1, 10, 1, 2, 10, 1, 1, 1, 10, 10, 4, 5, 6, 2, 1, 2, 6, 6, 2, 1, 10, 6, 2, 10, 2, 2, 10, 4, 2, 6, 10, 10, 2, 1, 6, 6, 1, 6, 10, 10, 10, 6, 6, 6, 2, 6, 10, 2, 1, 10, 2, 1, 1, 6, 10, 10, 1, 2, 2, 10, 1, 6, 2, 1, 6, 10, 10, 6, 1, 2, 1, 5, 6, 2, 6, 6, 1, 10, 2, 10, 10, 10, 10, 2, 6, 10, 10, 6, 10, 10, 6, 2, 10, 6, 1, 2, 6, 10, 10, 1, 1, 10, 1, 6, 6, 10, 10, 6, 6, 2, 6, 10, 10, 2, 10, 1, 6, 10, 0, 6, 10, 1, 6, 10, 6, 1, 1, 10, 1, 4, 1, 2, 2, 6, 1, 10, 10, 10, 6, 10, 6, 1, 10, 2, 6, 6, 2, 10, 10, 6, 1, 6, 2, 6, 10, 2, 10, 1, 10, 2, 1, 6, 1, 6, 2, 2, 6, 6, 1, 2, 1, 1, 2, 10, 2, 6, 10, 2, 2, 6, 1, 1, 10, 1, 6, 2, 2, 1, 6, 1, 6, 6, 6, 2, 1, 2, 6, 10, 1, 2, 2, 2, 9, 6, 1, 10, 1, 2, 1, 10, 1, 10, 1, 10, 10, 2, 1, 10, 1, 2, 6, 2, 1, 10, 1, 2, 2, 6, 6, 6, 2, 10, 10, 6, 6, 1, 2, 2, 10, 6, 6, 10, 1, 6, 1, 10, 1, 10, 10, 1, 6, 2, 1, 10, 1, 2, 2, 2, 10, 2, 2, 6, 6, 6, 6, 6, 10, 10, 6, 6, 10, 2, 6, 1, 2, 6, 1, 0, 2, 6, 6, 5, 2, 1, 2, 2, 1, 1, 10, 1, 9, 1, 1, 0, 1, 1, 2, 6, 1, 6, 1, 2, 6, 10, 10, 2, 2, 1, 1, 6, 6, 0, 1, 2, 1, 1, 6, 2, 2, 6, 1, 0, 9, 10, 6, 1, 10, 2, 10, 1, 1, 2, 2, 10, 1, 6, 2, 2, 1, 2, 1, 2, 1, 10, 6, 2, 2, 6, 6, 1, 2, 2, 10, 6, 6, 1, 1, 6, 1, 6, 1, 1, 1, 1, 2, 2, 2, 2, 2, 6, 6, 6, 1, 6, 1, 2, 1, 10, 6, 10, 10, 10, 1, 9, 6, 1, 1, 1, 6, 2, 6, 1, 2, 2, 6, 0, 10, 6, 9, 6, 10, 10, 6, 10, 6, 1, 6, 2, 1, 6, 10, 6, 5, 10, 2, 2, 2, 6, 2, 6, 1, 1, 2, 6, 9, 2, 9, 5, 1, 6, 6, 1, 6, 10, 1, 10, 1, 10, 6, 1, 6, 1, 1, 10, 10, 10, 1, 6, 6, 1, 1, 5, 1, 10, 10, 10, 6, 1, 10, 6, 2, 10, 1, 10, 1, 2, 10, 2, 6, 2, 2, 6, 6, 2, 2, 10, 1, 10, 10, 1, 2, 1, 2, 2, 1, 10, 1, 10, 1, 10, 10, 1, 2, 6, 6, 2, 1, 10, 6, 6, 10, 10, 1, 6, 1, 1, 10, 6, 6, 6, 10, 6, 6, 6, 9, 10, 10, 6, 10, 2, 2, 6, 2, 10, 10, 1, 6, 10, 6, 2, 6, 2, 2, 6, 2, 10, 1, 10, 2, 2, 2, 10, 2, 10, 6, 6, 10, 2, 2, 4, 10, 2, 6, 6, 0, 4, 1, 1, 10, 10, 1, 1, 2, 2, 1, 2, 6, 1, 2, 6, 2, 2, 10, 6, 6, 10, 6, 2, 4, 2, 1, 10, 2, 1, 4, 1, 10, 2, 10, 10, 1, 1, 2, 2, 10, 2, 6, 2, 10, 6, 6, 10, 5, 2, 1, 2, 1, 6, 1, 1, 10, 6, 6, 2, 1, 10, 6, 2, 6, 10, 2, 2, 2, 2, 10, 1, 6, 2, 10, 6, 1, 2, 1, 10, 6, 2, 1, 5, 6, 10, 2, 1, 2, 2, 6, 10, 1, 6, 1, 5, 1, 2, 6, 1, 6, 10, 10, 6, 6, 1, 1, 0, 2, 2, 1, 1, 2, 6, 6, 6, 10, 10, 10, 1, 2, 6, 2, 10, 1, 1, 10, 10, 2, 6, 2, 10, 10, 1, 6, 1, 6, 10, 2, 1, 2, 6, 10, 1, 4, 10, 6, 6, 10, 2, 2, 2, 1, 1, 1, 10, 2, 10, 10, 1, 10, 2, 2, 6, 10, 2, 6, 6, 2, 2, 6, 6, 6, 1, 6, 9, 2, 2, 6, 10, 6, 1, 10, 10, 1, 2, 10, 2, 10, 1, 1, 1, 10, 6, 10, 1, 10, 6, 1, 1, 1, 6, 9, 10, 2, 1, 6, 6, 10, 10, 4, 1, 10, 2, 10, 1, 2, 1, 10, 2, 2, 1, 1, 10, 2, 10, 1, 2, 10, 1, 1, 6, 6, 10, 10, 6, 10, 6, 2, 10, 10, 10, 6, 10, 2, 6, 2, 10, 1, 6, 2, 10, 2, 2, 5, 1, 2, 10, 1, 2, 6, 1, 10, 6, 6, 6, 1, 10, 1, 10, 1, 10, 10, 10, 6, 6, 6, 2, 2, 10, 1, 10, 6, 9, 10, 2, 9, 2, 6, 2, 6, 6, 6, 6, 1, 1, 2, 6, 1, 6, 6, 1, 10, 6, 10, 10, 9, 10, 2, 6, 1, 6, 10, 1, 1, 1, 1, 6, 1, 10, 10, 6, 4, 2, 2, 2, 6, 10, 1, 2, 6, 10, 1, 6, 10, 10, 6, 10, 1, 0, 1, 2, 9, 2, 10, 2, 6, 10, 1, 10, 10, 6, 1, 6, 1, 10, 1, 10, 2, 10, 10, 6, 1, 10, 10, 2, 2, 2, 2, 10, 10, 0, 6, 1, 10, 6, 6, 6, 2, 10, 10, 6, 10, 1, 1, 10, 1, 10, 2, 2, 6, 1, 2, 2, 10, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 6, 6, 2, 10, 1, 10, 10, 2, 6, 2, 2, 6, 1, 1, 1, 6, 6, 6, 2, 10, 6, 6, 10, 10, 1, 10, 6, 6, 10, 10, 10, 1, 10, 6, 2, 1, 2, 6, 10, 1, 6, 1, 6, 10, 2, 2, 6, 10, 6, 2, 1, 1, 6, 10, 10, 6, 10, 2, 2, 1, 1, 10, 6, 1, 1, 10, 1, 6, 10, 6, 1, 1, 6, 1, 10, 10, 10, 10, 2, 1, 2, 6, 6, 2, 6, 1, 1, 10, 1, 1, 6, 10, 10, 6, 2, 6, 10, 6, 2, 5, 10, 2, 6, 10, 10, 10, 6, 10, 1, 1, 2, 6, 1, 6, 1, 10, 10, 6, 1, 2, 10, 10, 6, 10, 2, 2, 2, 10, 1, 2, 1, 2, 2, 2, 6, 2, 2, 10, 10, 10, 6, 1, 6, 2, 6, 1, 6, 10, 10, 1, 2, 1, 2, 1, 1, 10, 1, 10, 10, 1, 10, 10, 10, 1, 2, 6, 6, 10, 6, 1, 1, 10, 10, 6, 10, 10, 1, 10, 2, 2, 6, 1, 2, 2, 6, 1, 6, 10, 1, 10, 10, 10, 2, 1, 2, 2, 6, 6, 2, 2, 2, 1, 6, 1, 2, 1, 6, 2, 1, 6, 10, 10, 1, 6, 6, 9, 10, 10, 0, 10, 10, 6, 1, 6, 1, 6, 10, 1, 2, 2, 2, 6, 6, 10, 6, 6, 2, 1, 6, 1, 6, 1, 4, 10, 2, 6, 2, 6, 1, 2, 6, 6, 2, 10, 1, 2, 2, 6, 1, 1, 6, 1, 1, 6, 6, 6, 1, 1, 10, 2, 6, 2, 2, 2, 1, 0, 1, 1, 2, 2, 10, 10, 10, 1, 10, 2, 1, 10, 2, 2, 10, 1, 10, 10, 6, 2, 1, 10, 1, 2, 2, 6, 6, 6, 1, 1, 2, 1, 5, 6, 2, 1, 5, 2, 10, 6, 1, 1, 6, 6, 6, 1, 1, 1, 2, 10, 10, 1, 10, 6, 2, 6, 1, 2, 1, 10, 10, 6, 2, 10, 6, 1, 6, 1, 10, 0, 10, 1, 2, 6, 6, 1, 3, 6, 10, 1, 1, 10, 10, 6, 6, 2, 2, 10, 2, 10, 1, 2, 1, 6, 2, 2, 2, 10, 10, 10, 1, 1, 2, 6, 1, 2, 2, 6, 2, 2, 10, 0, 1, 6, 6, 10, 2, 6, 10, 10, 1, 1, 1, 6, 2, 10, 6, 1, 6, 1, 10, 10, 6, 1, 6, 10, 10, 10, 2, 0, 10, 6, 6, 6, 1, 2, 6, 6, 1, 2, 10, 6, 1, 2, 10, 6, 10, 10, 6, 1, 6, 1, 1, 1, 2, 9, 6, 10, 6, 2, 6, 1, 10, 6, 1, 1, 6, 6, 2, 10, 10, 1, 2, 6, 4, 1, 1, 1, 2, 6, 6, 2, 1, 10, 1, 1, 6, 10, 10, 2, 2, 6, 2, 10, 2, 10, 1, 5, 1, 1, 1, 10, 2, 1, 6, 6, 2, 10, 10, 7, 1, 1, 1, 10, 10, 2, 9, 6, 1, 6, 1, 10, 6, 10, 1, 2, 2, 6, 6, 10, 4, 2, 6, 2, 1, 10, 6, 1, 2, 10, 10, 6, 5, 2, 6, 6, 6, 1, 10, 10, 1, 6, 2, 1, 1, 2, 2, 6, 10, 10, 10, 6, 1, 2, 1, 10, 9, 6, 1, 10, 10, 1, 6, 10, 6, 10, 10, 2, 1, 6, 2, 2, 10, 10, 6, 10, 6, 6, 1, 6, 1, 6, 2, 2, 10, 6, 1, 6, 1, 2, 6, 6, 10, 1, 10, 1, 1, 6, 1, 9, 6, 10, 1, 6, 1, 10, 6, 10, 10, 1, 5, 10, 6, 1, 1, 4, 10, 1, 2, 2, 2, 10, 10, 10, 10, 1, 6, 1, 10, 10, 6, 2, 10, 10, 2, 2, 10, 6, 1, 2, 1, 1, 10, 10, 6, 1, 10, 1, 0, 2, 1, 1, 6, 1, 6, 1, 6, 6, 6, 6, 1, 6, 10, 10, 6, 10, 1, 1, 1, 10, 2, 1, 6, 6, 6, 6, 2, 6, 2, 6, 1, 2, 6, 10, 1, 1, 9, 10, 6, 10, 6, 1, 10, 10, 10, 6, 6, 10, 1, 6, 2, 10, 2, 6, 1, 6, 10, 1, 1, 10, 1, 10, 6, 1, 1, 10, 2, 10, 10, 2, 10, 1, 1, 2, 10, 6, 6, 2, 6, 1, 2, 6, 2, 0, 10, 10, 1, 6, 2, 2, 2, 1, 1, 10, 6, 2, 1, 6, 10, 2, 1, 2, 6, 1, 2, 6, 1, 10, 2, 1, 6, 6, 6, 6, 6, 6, 10, 10, 6, 2, 6, 2, 1, 1, 6, 2, 2, 1, 2, 10, 10, 10, 10, 50, 2, 1, 10, 10, 10, 10, 10, 1, 6, 6, 2, 6, 2, 2, 10, 2, 2, 1, 6, 10, 10, 6, 6, 1, 10, 10, 1, 1, 2, 1, 2, 2, 1, 1, 1, 10, 1, 6, 10, 4, 2, 1, 6, 6, 10, 6, 10, 9, 6, 1, 2, 2, 6, 0, 6, 10, 6, 9, 6, 2, 2, 2, 1, 1, 10, 2, 1, 10, 6, 10, 6, 1, 2, 1, 1, 10, 2, 6, 10, 1, 6, 2, 2, 1, 10, 6, 1, 10, 2, 6, 10, 10, 6, 10, 1, 6, 10, 6, 10, 2, 2, 1, 1, 1, 1, 1, 10, 1, 1, 2, 0, 5, 1, 2, 6, 10, 1, 2, 10, 10, 1, 10, 2, 6, 2, 10, 6, 10, 6, 1, 6, 6, 1, 5, 1, 10, 2, 6, 10, 6, 10, 10, 6, 1, 2, 4, 2, 6, 2, 2, 10, 6, 6, 10, 6, 10, 6, 10, 10, 6, 10, 10, 6, 10, 6, 6, 1, 10, 1, 1, 1, 4, 10, 5, 10, 2, 2, 2, 1, 10, 1, 10, 2, 10, 4, 2, 5, 10, 1, 1, 6, 1, 2, 2, 1, 2, 6, 10, 10, 10, 5, 6, 6, 0, 2, 2, 10, 10, 2, 1, 6, 10, 2, 2, 10, 1, 1, 10, 2, 10, 6, 6, 4, 9, 2, 1, 6, 6, 2, 2, 4, 1, 0, 1, 2, 2, 6, 10, 1, 10, 10, 2, 2, 1, 2, 6, 1, 10, 10, 6, 6, 6, 6, 2, 10, 1, 10, 6, 6, 10, 2, 10, 10, 1, 6, 2, 6, 2, 6, 10, 1, 2, 1, 10, 1, 10, 1, 1, 10, 6, 10, 2, 6, 10, 1, 6, 2, 2, 2, 10, 10, 10, 2, 1, 6, 6, 1, 2, 10, 1, 10, 2, 10, 10, 1, 1, 2, 1, 1, 1, 1, 6, 10, 9, 4, 2, 2, 1, 1, 6, 10, 6, 2, 10, 2, 6, 1, 1, 1, 10, 1, 6, 2, 2, 2, 6, 2, 10, 10, 2, 10, 6, 6, 6, 6, 2, 2, 1, 1, 1, 6, 2, 2, 2, 1, 2, 2, 1, 2, 1, 6, 1, 1, 10, 6, 10, 2, 10, 6, 10, 10, 10, 6, 2, 6, 6, 1, 2, 10, 10, 1, 10, 6, 1, 1, 2, 4, 4, 10, 6, 10, 6, 10, 10, 2, 2, 6, 10, 6, 1, 6, 1, 1, 10, 10, 10, 2, 10, 2, 2, 1, 1, 1, 6, 10, 10, 6, 10, 2, 6, 6, 10, 6, 6, 2, 2, 2, 1, 1, 1, 2, 6, 6, 6, 1, 2, 1, 6, 1, 1, 6, 10, 2, 10, 2, 1, 1, 6, 1, 2, 6, 6, 2, 6, 2, 1, 1, 2, 10, 6, 6, 1, 6, 1, 2, 2, 1, 1, 1, 4, 6, 1, 2, 10, 6, 1, 2, 6, 10, 6, 10, 6, 10, 2, 6, 6, 2, 1, 1, 10, 10, 10, 2, 10, 9, 1, 10, 9, 10, 10, 4, 1, 2, 6, 2, 6, 6, 10, 2, 2, 1, 10, 2, 6, 60, 6, 1, 1, 6, 6, 1, 10, 2, 6, 1, 6, 5, 10, 10, 6, 6, 10, 1, 6, 10, 1, 1, 2, 10, 6, 6, 4, 1, 2, 0, 2, 1, 6, 4, 9, 6, 2, 1, 2, 10, 2, 1, 2, 2, 6, 10, 10, 10, 2, 10, 4, 10, 2, 9, 6, 10, 2, 1, 10, 10, 1, 8, 10, 2, 2, 1, 2, 1, 6, 6, 1, 1, 6, 1, 6, 10, 1, 6, 1, 6, 10, 10, 6, 10, 2, 1, 1, 10, 6, 6, 10, 1, 10, 10, 1, 2, 2, 10, 10, 6, 1, 2, 2, 2, 1, 6, 5, 6, 6, 2, 0, 10, 6, 6, 1, 10, 1, 1, 6, 1, 1, 0, 10, 1, 10, 10, 1, 6, 1, 1, 10, 2, 2, 10, 6, 1, 10, 6, 10, 5, 6, 2, 2, 10, 10, 2, 1, 2, 6, 10, 1, 1, 1, 2, 6, 10, 2, 1, 6, 2, 1, 1, 10, 2, 10, 10, 1, 6, 10, 10, 6, 2, 2, 6, 6, 6, 6, 2, 1, 5, 10, 6, 2, 10, 1, 6, 2, 2, 1, 6, 1, 2, 10, 10, 10, 2, 10, 10, 1, 1, 1, 1, 2, 2, 1, 6, 2, 1, 10, 1, 1, 1, 2, 2, 10, 1, 0, 1, 6, 6, 10, 2, 6, 1, 1, 6, 6, 2, 2, 2, 6, 2, 1, 2, 6, 1, 1, 6, 6, 1, 2, 6, 9, 1, 10, 2, 10, 10, 6, 6, 6, 1, 2, 1, 1, 6, 10, 6, 1, 1, 9, 10, 2, 1, 10, 6, 6, 1, 1, 10, 2, 1, 10, 10, 1, 1, 10, 1, 6, 2, 1, 2, 6, 6, 1, 10, 1, 10, 1, 1, 6, 1, 10, 1, 1, 2, 10, 2, 6, 1, 6, 6, 6, 2, 10, 10, 1, 10, 10, 1, 1, 10, 2, 6, 10, 1, 2, 6, 6, 1, 2, 2, 1, 6, 10, 1, 6, 2, 10, 1, 6, 1, 10, 6, 1, 6, 6, 10, 1, 1, 10, 1, 10, 1, 6, 1, 10, 10, 6, 2, 1, 10, 10, 2, 10, 1, 2, 10, 2, 2, 1, 10, 6, 1, 2, 10, 1, 2, 6, 1, 1, 2, 1, 2, 10, 1, 2, 1, 6, 6, 1, 5, 1, 10, 0, 2, 5, 2, 1, 2, 10, 2, 1, 2, 10, 1, 2, 6, 10, 1, 1, 2, 6, 6, 2, 6, 6, 1, 6, 1, 1, 1, 1, 1, 1, 10, 1, 1, 2, 2, 10, 6, 2, 2, 6, 2, 6, 1, 1, 9, 1, 2, 10, 4, 2, 2, 10, 5, 2, 2, 1, 2, 9, 10, 6, 2, 10, 6, 6, 1, 2, 10, 6, 6, 6, 6, 10, 9, 10, 2, 10, 1, 2, 1, 10, 6, 1, 1, 10, 1, 1, 2, 1, 6, 1, 10, 1, 6, 1, 1, 1, 10, 1, 6, 10, 6, 10, 1, 10, 1, 10, 6, 6, 6, 2, 6, 2, 2, 10, 9, 1, 1, 1, 6, 1, 2, 6, 2, 10, 10, 2, 2, 0, 6, 1, 6, 6, 1, 10, 1, 2, 2, 2, 2, 10, 6, 2, 1, 10, 2, 10, 2, 1, 6, 10, 1, 6, 6, 2, 1, 6, 6, 10, 10, 6, 6, 1, 10, 6, 10, 10, 10, 1, 6, 10, 10, 1, 6, 10, 1, 6, 1, 1, 1, 1, 2, 2, 6, 1, 1, 10, 5, 6, 10, 6, 1, 10, 2, 1, 2, 10, 6, 1, 1, 6, 2, 1, 10, 2, 1, 2, 1, 10, 6, 2, 2, 10, 2, 10, 6, 1, 10, 10, 6, 10, 2, 1, 2, 1, 1, 6, 10, 2, 2, 6, 6, 6, 6, 2, 2, 6, 2, 6, 0, 2, 1, 10, 10, 10, 6, 1, 6, 10, 10, 6, 10, 1, 10, 1, 1, 10, 10, 2, 10, 6, 10, 10, 10, 10, 1, 1, 2, 2, 1, 1, 2, 6, 2, 2, 1, 6, 2, 10, 6, 1, 10, 6, 1, 1, 2, 6, 10, 10, 6, 2, 2, 2, 6, 1, 2, 1, 10, 10, 10, 6, 10, 10, 10, 10, 6, 2, 2, 2, 2, 6, 6, 6, 6, 2, 1, 6, 6, 2, 2, 2, 2, 0, 2, 1, 1, 2, 6, 2, 1, 1, 6, 6, 10, 10, 2, 2, 2, 6, 6, 6, 1, 10, 6, 2, 10, 2, 6, 6, 1, 6, 1, 10, 10, 2, 2, 10, 10, 1, 10, 1, 1, 6, 10, 1, 2, 1, 1, 2, 2, 2, 1, 6, 2, 1, 10, 10, 10, 6, 1, 6, 6, 10, 2, 1, 2, 2, 2, 1, 6, 6, 10, 10, 10, 10, 5, 1, 1, 2, 1, 9, 5, 6, 6, 2, 1, 10, 10, 2, 1, 1, 2, 10, 6, 6, 6, 1, 10, 2, 1, 1, 2, 1, 6, 2, 6, 2, 6, 6, 10, 6, 2, 2, 6, 2, 1, 2, 6, 10, 2, 10, 2, 6, 10, 6, 9, 2, 6, 6, 6, 1, 2, 1, 6, 6, 10, 2, 1, 1, 6, 10, 6, 10, 1, 2, 2, 6, 10, 2, 2, 9, 10, 6, 2, 6, 1, 6, 6, 2, 1, 2, 6, 10, 1, 6, 1, 6, 6, 1, 1, 10, 2, 2, 10, 10, 10, 2, 1, 6, 1, 1, 1, 10, 5, 6, 2, 10, 2, 1, 1, 2, 10, 1, 6, 2, 1, 6, 10, 10, 1, 1, 6, 1, 6, 10, 1, 6, 2, 10, 6, 1, 2, 10, 6, 2, 6, 6, 6, 1, 6, 1, 1, 2, 10, 1, 10, 10, 6, 2, 1, 10, 6, 2, 2, 6, 2, 1, 1, 6, 6, 1, 1, 2, 10, 6, 2, 2, 1, 2, 2, 6, 10, 2, 10, 5, 6, 10, 1, 4, 2, 10, 1, 6, 6, 1, 6, 10, 10, 10, 1, 10, 1, 6, 6, 10, 1, 6, 10, 2, 6, 9, 6, 2, 10, 1, 10, 6, 2, 10, 1, 10, 1, 1, 6, 10, 1, 1, 10, 1, 1, 2, 1, 6, 2, 2, 2, 10, 1, 10, 10, 1, 10, 6, 2, 10, 1, 10, 1, 10, 10, 10, 1, 2, 2, 2, 10, 1, 10, 10, 10, 1, 1, 6, 6, 2, 10, 2, 2, 10, 1, 1, 2, 6, 6, 6, 1, 2, 9, 6, 2, 6, 2, 1, 1, 1, 1, 1, 6, 10, 1, 10, 6, 2, 2, 6, 2, 6, 1, 10, 2, 1, 5, 1, 6, 1, 2, 1, 10, 10, 10, 10, 1, 10, 2, 6, 1, 6, 2, 1, 2, 6, 2, 6, 10, 6, 10, 2, 10, 1, 2, 2, 6, 2, 1, 1, 1, 1, 6, 2, 10, 2, 10, 1, 6, 1, 1, 1, 9, 10, 10, 6, 10, 6, 6, 1, 6, 1, 6, 10, 7, 6, 6, 2, 10, 6, 2, 10, 6, 6, 10, 10, 2, 10, 6, 2, 1, 6, 6, 10, 6, 10, 6, 2, 6, 1, 1, 1, 4, 10, 10, 6, 6, 10, 6, 1, 6, 10, 6, 10, 2, 2, 6, 6, 6, 10, 6, 2, 2, 2, 6, 2, 2, 1, 6, 6, 1, 10, 6, 2, 10, 10, 1, 4, 1, 2, 2, 2, 1, 2, 9, 6, 2, 4, 2, 6, 2, 1, 1, 6, 10, 2, 1, 1, 1, 2, 10, 6, 1, 1, 1, 1, 4, 6, 9, 1, 2, 10, 2, 6, 1, 2, 2, 1, 6, 6, 2, 2, 1, 6, 2, 10, 6, 6, 6, 10, 1, 1, 2, 10, 10, 2, 2, 6, 2, 2, 6, 6, 2, 2, 1, 10, 10, 2, 6, 1, 10, 1, 10, 1, 1, 10, 10, 0, 1, 6, 6, 2, 4, 10, 2, 2, 4, 6, 2, 2, 10, 10, 10, 10, 5, 2, 10, 10, 1, 2, 6, 6, 2, 10, 10, 2, 6, 2, 6, 2, 6, 2, 2, 1, 1, 6, 10, 6, 6, 10, 6, 2, 1, 6, 0, 10, 1, 6, 6, 6, 1, 10, 6, 2, 2, 1, 10, 1, 1, 6, 6, 2, 2, 10, 10, 6, 6, 1, 1, 6, 6, 10, 6, 1, 6, 6, 10, 1, 1, 1, 6, 1, 2, 0, 6, 10, 10, 6, 1, 1, 10, 2, 10, 6, 1, 6, 2, 6, 2, 1, 10, 1, 6, 2, 10, 2, 1, 2, 2, 10, 6, 1, 6, 1, 2, 10, 10, 2, 2, 1, 1, 6, 10, 2, 6, 1, 6, 4, 6, 2, 10, 2, 6, 6, 6, 60, 2, 1, 10, 6, 1, 1, 10, 2, 2, 1, 10, 1, 1, 2, 10, 2, 2, 1, 2, 1, 2, 6, 2, 6, 5, 1, 10, 1, 1, 2, 1, 10, 10, 10, 6, 10, 6, 2, 1, 10, 1, 6, 1, 2, 6, 6, 10, 1, 2, 10, 1, 2, 10, 1, 6, 6, 6, 10, 10, 6, 2, 10, 2, 2, 6, 10, 1, 6, 2, 10, 10, 6, 10, 1, 10, 10, 2, 2, 2, 6, 2, 2, 10, 1, 1, 10, 2, 6, 6, 6, 1, 6, 2, 2, 2, 10, 10, 6, 1, 1, 10, 1, 2, 10, 6, 6, 10, 10, 6, 6, 10, 1, 1, 6, 6, 10, 10, 1, 1, 10, 6, 10, 6, 2, 6, 2, 1, 6, 2, 2, 9, 1, 4, 6, 1, 10, 6, 2, 1, 1, 1, 1, 10, 10, 2, 2, 1, 6, 2, 10, 1, 2, 6, 10, 10, 10, 10, 10, 10, 10, 6, 1, 2, 10, 1, 4, 2, 10, 1, 1, 6, 2, 6, 1, 9, 2, 2, 2, 2, 2, 2, 6, 6, 2, 2, 10, 1, 1, 6, 6, 1, 10, 10, 1, 1, 6, 10, 6, 1, 2, 2, 2, 2, 1, 2, 6, 2, 6, 1, 1, 10, 6, 9, 1, 6, 2, 10, 6, 6, 6, 1, 1, 2, 1, 6, 2, 1, 6, 10, 1, 5, 10, 6, 1, 6, 2, 6, 6, 10, 2, 1, 6, 1, 2, 6, 1, 10, 2, 1, 6, 1, 10, 10, 1, 1, 1, 2, 1, 10, 6, 2, 1, 1, 2, 2, 2, 10, 1, 6, 10, 6, 9, 6, 1, 2, 1, 6, 1, 2, 1, 9, 6, 1, 2, 2, 6, 1, 2, 6, 6, 10, 1, 2, 10, 10, 6, 10, 6, 10, 2, 10, 2, 2, 1, 6, 1, 10, 10, 4, 2, 10, 10, 1, 6, 6, 10, 2, 6, 0, 6, 10, 2, 2, 6, 6, 1, 5, 2, 6, 10, 6, 6, 6, 10, 6, 6, 10, 1, 6, 6, 1, 1, 1, 9, 2, 0, 6, 1, 10, 2, 1, 10, 10, 6, 6, 10, 10, 1, 9, 10, 6, 6, 2, 10, 1, 1, 2, 10, 2, 1, 10, 1, 2, 1, 2, 1, 6, 1, 2, 2, 1, 10, 1, 1, 10, 1, 2, 1, 1, 10, 10, 2, 2, 6, 1, 1, 6, 2, 6, 6, 2, 10, 10, 1, 10, 2, 10, 2, 1, 2, 10, 10, 1, 1, 1, 10, 2, 2, 10, 1, 10, 10, 10, 5, 10, 10, 6, 10, 6, 2, 2, 6, 6, 10, 2, 1, 10, 10, 6, 2, 1, 5, 6, 2, 6, 2, 2, 6, 10, 0, 1, 6, 2, 2, 2, 6, 2, 6, 10, 2, 2, 0, 2, 10, 2, 2, 6, 2, 2, 1, 6, 2, 1, 2, 10, 2, 1, 2, 6, 2, 10, 6, 1, 1, 2, 2, 10, 2, 10, 1, 10, 6, 10, 1, 10, 1, 10, 10, 10, 10, 10, 1, 10, 1, 1, 10, 1, 2, 10, 6, 10, 2, 10, 2, 8, 2, 1, 10, 1, 6, 6, 10, 1, 1, 1, 6, 6, 10, 2, 6, 2, 6, 1, 6, 2, 1, 6, 6, 6, 1, 10, 2, 6, 2, 1, 10, 2, 1, 10, 1, 1, 6, 1, 6, 10, 1, 1, 10, 2, 2, 2, 1, 2, 6, 10, 1, 10, 1, 10, 1, 10, 1, 10, 10, 6, 10, 1, 1, 2, 1, 2, 2, 2, 1, 6, 1, 6, 1, 2, 6, 10, 2, 2, 10, 10, 10, 2, 2, 10, 6, 6, 1, 9, 10, 10, 6, 6, 6, 6, 2, 6, 10, 2, 1, 6, 6, 10, 0, 6, 2, 10, 6, 10, 10, 6, 1, 6, 10, 7, 2, 6, 2, 9, 7, 10, 10, 10, 2, 6, 6, 10, 2, 1, 2, 2, 10, 10, 10, 2, 10, 2, 0, 10, 1, 6, 2, 2, 6, 2, 6, 5, 2, 6, 1, 2, 2, 10, 2, 10, 1, 1, 10, 4, 2, 2, 6, 10, 10, 2, 6, 2, 6, 1, 10, 1, 2, 1, 1, 6, 1, 6, 1, 10, 4, 6, 6, 10, 10, 6, 10, 10, 10, 10, 2, 6, 10, 1, 2, 2, 1, 1, 10, 6, 6, 1, 10, 1, 1, 1, 6, 2, 10, 6, 9, 1, 1, 10, 10, 10, 2, 1, 6, 10, 8, 1, 6, 6, 6, 6, 1, 2, 2, 10, 1, 6, 1, 1, 2, 10, 2, 10, 10, 1, 10, 10, 2, 5, 10, 1, 6, 1, 6, 6, 3, 1, 10, 1, 6, 6, 1, 1, 10, 1, 10, 1, 10, 2, 1, 2, 10, 1, 1, 2, 6, 10, 1, 2, 1, 6, 10, 1, 2, 6, 6, 10, 2, 6, 6, 1, 1, 2, 1, 6, 2, 10, 6, 10, 2, 2, 10, 6, 2, 10, 10, 6, 10, 2, 6, 6, 1, 2, 6, 6, 10, 10, 2, 2, 2, 6, 6, 10, 10, 1, 1, 10, 10, 10, 1, 10, 2, 2, 2, 10, 10, 2, 1, 2, 6, 2, 2, 1, 2, 2, 6, 6, 2, 1, 10, 9, 10, 4, 1, 1, 6, 1, 2, 6, 2, 2, 10, 1, 1, 2, 6, 1, 6, 6, 2, 10, 6, 1, 1, 1, 1, 10, 6, 1, 6, 1, 2, 10, 1, 10, 10, 4, 2, 1, 1, 1, 1, 10, 10, 6, 2, 1, 6, 6, 0, 6, 2, 10, 5, 10, 6, 2, 2, 10, 10, 1, 2, 10, 10, 6, 1, 2, 1, 2, 1, 2, 1, 10, 10, 6, 1, 2, 1, 2, 2, 10, 1, 10, 6, 6, 1, 6, 10, 2, 5, 1, 1, 1, 6, 6, 10, 1, 10, 5, 10, 10, 6, 1, 2, 6, 10, 1, 10, 10, 6, 10, 1, 6, 10, 6, 1, 6, 1, 10, 10, 2, 1, 10, 10, 1, 1, 2, 1, 2, 6, 6, 6, 6, 60, 10, 10, 6, 6, 1, 1, 2, 6, 2, 10, 1, 1, 10, 6, 6, 2, 2, 2, 2, 1, 10, 10, 10, 10, 6, 6, 1, 10, 10, 1, 6, 10, 10, 6, 10, 1, 10, 9, 6, 2, 6, 10, 1, 10, 6, 1, 1, 10, 2, 6, 1, 1, 10, 1, 10, 6, 1, 2, 10, 6, 5, 6, 10, 2, 10, 1, 6, 10, 2, 1, 2, 1, 2, 10, 10, 10, 1, 1, 10, 10, 2, 6, 2, 10, 6, 1, 1, 1, 0, 1, 10, 1, 6, 1, 2, 6, 6, 6, 6, 2, 1, 10, 2, 10, 1, 1, 10, 2, 6, 6, 10, 10, 10, 1, 1, 1, 2, 1, 2, 1, 10, 2, 2, 6, 10, 6, 1, 10, 0, 1, 1, 10, 1, 10, 10, 6, 2, 6, 10, 10, 1, 10, 10, 2, 2, 6, 9, 1, 0, 2, 1, 10, 6, 1, 2, 2, 10, 1, 10, 1, 2, 10, 0, 2, 6, 10, 1, 6, 1, 2, 1, 6, 6, 9, 10, 10, 2, 10, 2, 10, 2, 1, 2, 2, 2, 10, 2, 2, 1, 2, 10, 10, 6, 10, 1, 2, 10, 2, 1, 10, 10, 1, 1, 10, 2, 2, 6, 5, 10, 2, 2, 6, 6, 6, 2, 6, 2, 6, 10, 6, 1, 6, 6, 1, 1, 10, 2, 2, 2, 1, 1, 2, 1, 1, 6, 2, 2, 10, 10, 2, 1, 2, 10, 2, 2, 1, 6, 6, 10, 1, 6, 2, 6, 1, 2, 10, 6, 6, 10, 6, 2, 1, 6, 10, 1, 6, 1, 2, 10, 2, 2, 2, 2, 6, 10, 10, 1, 10, 2, 2, 2, 10, 10, 2, 2, 2, 10, 2, 2, 6, 2, 2, 1, 1, 10, 6, 10, 1, 6, 10, 10, 10, 6, 2, 1, 10, 1, 1, 2, 10, 6, 10, 2, 1, 2, 2, 6, 1, 1, 10, 6, 10, 1, 6, 10, 6, 10, 2, 1, 10, 2, 6, 2, 10, 10, 2, 10, 2, 2, 2, 6, 6, 2, 1, 6, 6, 2, 1, 6, 6, 6, 10, 10, 1, 10, 2, 6, 1, 2, 1, 1, 10, 10, 10, 2, 2, 1, 10, 1, 2, 2, 2, 1, 2, 10, 1, 1, 1, 10, 2, 10, 1, 6, 1, 10, 1, 6, 2, 6, 10, 6, 1, 1, 2, 6, 1, 6, 1, 2, 2, 10, 10, 2, 1, 6, 6, 10, 1, 1, 10, 6, 6, 10, 2, 2, 1, 2, 2, 10, 10, 10, 1, 1, 10, 10, 4, 1, 2, 2, 6, 1, 10, 6, 2, 6, 9, 1, 2, 10, 2, 2, 1, 2, 10, 6, 2, 6, 10, 6, 6, 1, 2, 10, 10, 2, 2, 10, 10, 1, 1, 10, 2, 5, 1, 10, 2, 10, 1, 6, 6, 2, 1, 6, 1, 2, 10, 1, 6, 6, 6, 2, 1, 10, 6, 2, 6, 10, 2, 2, 0, 2, 2, 10, 6, 2, 1, 1, 10, 1, 2, 6, 10, 10, 6, 1, 10, 10, 6, 10, 2, 6, 1, 10, 1, 1, 6, 2, 2, 10, 6, 6, 6, 6, 10, 6, 10, 6, 2, 2, 1, 2, 10, 2, 10, 2, 2, 10, 1, 2, 2, 2, 2, 0, 10, 2, 1, 1, 10, 1, 6, 1, 2, 1, 1, 10, 10, 1, 10, 10, 10, 10, 1, 10, 1, 6, 10, 6, 10, 6, 6, 6, 10, 6, 10, 6, 1, 1, 1, 6, 1, 10, 1, 2, 6, 2, 1, 10, 1, 2, 1, 6, 10, 10, 6, 4, 1, 1, 1, 6, 1, 10, 10, 1, 10, 6, 10, 0, 10, 2, 6, 6, 2, 6, 1, 10, 10, 2, 2, 2, 2, 6, 2, 10, 2, 6, 1, 1, 10, 1, 10, 10, 1, 2, 10, 2, 6, 1, 2, 6, 10, 10, 6, 2, 10, 6, 10, 6, 1, 10, 2, 0, 2, 1, 1, 6, 2, 2, 1, 2, 1, 10, 1, 1, 1, 2, 2, 10, 2, 2, 6, 10, 1, 2, 2, 6, 1, 9, 10, 1, 1, 1, 2, 2, 10, 6, 6, 10, 2, 1, 6, 6, 2, 10, 2, 6, 10, 10, 6, 2, 2, 2, 2, 10, 10, 10, 6, 5, 10, 2, 6, 6, 10, 1, 6, 10, 2, 1, 1, 1, 1, 2, 10, 2, 6, 6, 6, 10, 1, 10, 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6, 2, 10, 10, 10, 1, 1, 9, 6, 2, 6, 2, 0, 1, 2, 10, 1, 10, 2, 6, 6, 6, 10, 10, 6, 6, 0, 10, 2, 6, 1, 2, 10, 1, 10, 10, 10, 2, 10, 2, 10, 10, 1, 2, 6, 10, 6, 2, 1, 4, 2, 6, 2, 2, 1, 6, 1, 6, 1, 4, 6, 6, 1, 1, 2, 1, 6, 6, 1, 6, 1, 10, 6, 6, 1, 2, 2, 10, 1, 10, 10, 2, 6, 6, 6, 2, 10, 1, 6, 1, 10, 10, 10, 5, 10, 10, 2, 1, 6, 10, 2, 10, 2, 2, 6, 2, 1, 6, 10, 1, 1, 10, 6, 6, 10, 1, 2, 2, 1, 10, 1, 6, 6, 10, 1, 6, 10, 1, 2, 1, 10, 6, 10, 10, 2, 1, 6, 1, 1, 6, 10, 50, 1, 10, 10, 1, 1, 2, 1, 10, 10, 10, 1, 1, 1, 2, 10, 6, 10, 2, 10, 6, 2, 10, 1, 2, 2, 1, 6, 1, 1, 10, 6, 6, 10, 2, 2, 1, 10, 4, 1, 6, 10, 2, 6, 10, 10, 1, 2, 1, 6, 6, 1, 2, 1, 2, 6, 10, 2, 6, 6, 2, 1, 5, 10, 1, 1, 6, 6, 1, 1, 2, 10, 4, 1, 2, 6, 10, 1, 6, 2, 10, 2, 6, 6, 1, 1, 6, 2, 10, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 5, 6, 10, 2, 1, 10, 6, 10, 2, 2, 10, 10, 1, 10, 1, 2, 2, 1, 6, 1, 2, 2, 1, 2, 10, 1, 10, 2, 10, 6, 6, 1, 2, 10, 9, 2, 6, 10, 6, 6, 6, 2, 6, 1, 2, 10, 9, 10, 10, 2, 2, 6, 10, 1, 10, 10, 9, 6, 6, 10, 1, 2, 2, 10, 1, 1, 10, 2, 2, 2, 2, 10, 6, 1, 10, 2, 2, 6, 2, 1, 10, 2, 10, 1, 6, 1, 10, 0, 1, 2, 6, 2, 2, 2, 6, 6, 2, 2, 1, 1, 10, 6, 6, 1, 5, 2, 1, 10, 1, 1, 10, 1, 4, 6, 6, 6, 2, 4, 6, 1, 6, 6, 1, 10, 10, 10, 2, 1, 10, 2, 6, 10, 1, 2, 10, 6, 2, 1, 10, 2, 0, 2, 10, 10, 6, 2, 6, 6, 10, 10, 6, 1, 6, 1, 1, 6, 4, 6, 2, 6, 6, 1, 1, 6, 1, 6, 10, 6, 2, 2, 10, 2, 10, 1, 6, 2, 2, 2, 10, 6, 10, 1, 10, 1, 6, 10, 1, 2, 10, 2, 6, 1, 2, 10, 2, 6, 2, 2, 1, 2, 6, 1, 2, 10, 6, 1, 1, 6, 1, 2, 6, 1, 10, 10, 6, 10, 1, 1, 6, 10, 6, 6, 10, 10, 6, 2, 5, 1, 1, 6, 2, 10, 10, 10, 1, 2, 4, 6, 10, 10, 2, 10, 10, 6, 6, 6, 1, 10, 1, 6, 6, 10, 6, 6, 6, 2, 2, 1, 6, 1, 2, 2, 10, 10, 6, 10, 10, 6, 6, 1, 1, 1, 2, 1, 10, 2, 10, 10, 6, 1, 10, 1, 2, 1, 10, 10, 1, 6, 1, 2, 1, 1, 2, 6, 6, 10, 6, 6, 1, 2, 6, 6, 1, 6, 10, 10, 2, 2, 4, 2, 2, 10, 2, 6, 10, 2, 6, 6, 10, 2, 1, 6, 6, 2, 1, 1, 5, 6, 6, 2, 1, 1, 2, 1, 2, 10, 4, 1, 6, 10, 9, 6, 1, 6, 1, 6, 10, 6, 10, 2, 10, 10, 2, 2, 6, 6, 1, 1, 2, 10, 10, 2, 2, 2, 1, 2, 6, 2, 1, 1, 10, 6, 1, 6, 2, 1, 10, 1, 2, 1, 2, 6, 10, 6, 10, 6, 1, 2, 10, 6, 10, 6, 10, 10, 6, 10, 10, 2, 10, 2, 10, 1, 1, 4, 2, 6, 2, 10, 10, 10, 2, 2, 6, 10, 10, 10, 6, 6, 9, 10, 6, 10, 6, 6, 6, 5, 1, 10, 10, 1, 1, 6, 1, 6, 2, 4, 10, 1, 10, 10, 2, 6, 10, 6, 1, 1, 6, 1, 1, 10, 6, 2, 2, 10, 1, 1, 10, 10, 2, 2, 2, 6, 10, 10, 6, 6, 2, 10, 1, 1, 10, 2, 1, 6, 2, 1, 2, 6, 1, 10, 6, 10, 1, 2, 10, 10, 1, 10, 10, 1, 2, 2, 1, 1, 10, 10, 2, 10, 2, 2, 6, 1, 10, 1, 10, 10, 1, 1, 2, 6, 6, 2, 10, 1, 10, 2, 1, 2, 1, 10, 6, 1, 10, 2, 2, 10, 10, 10, 6, 1, 10, 4, 10, 6, 10, 1, 2, 1, 6, 6, 1, 10, 10, 2, 6, 1, 2, 6, 6, 6, 2, 10, 1, 2, 2, 10, 10, 10, 6, 9, 2, 1, 2, 1, 10, 6, 10, 2, 1, 1, 2, 2, 6, 2, 2, 4, 6, 1, 2, 6, 1, 10, 1, 1, 6, 10, 1, 6, 2, 1, 10, 10, 2, 1, 2, 6, 2, 6, 4, 10, 10, 1, 2, 1, 6, 1, 6, 2, 9, 10, 2, 10, 1, 1, 6, 1, 10, 1, 1, 1, 10, 2, 1, 2, 10, 10, 2, 6, 1, 1, 5, 1, 6, 2, 10, 6, 6, 10, 10, 2, 10, 10, 6, 6, 1, 6, 2, 6, 6, 2, 1, 6, 2, 10, 2, 5, 2, 1, 6, 6, 10, 6, 1, 2, 1, 2, 1, 1, 6, 1, 10, 4, 2, 2, 6, 6, 6, 6, 6, 10, 5, 10, 1, 10, 1, 2, 10, 0, 10, 1, 10, 1, 1, 6, 2, 1, 6, 2, 10, 6, 1, 2, 6, 6, 6, 10, 2, 2, 1, 2, 1, 10, 2, 6, 1, 1, 4, 1, 1, 6, 6, 6, 2, 10, 1, 1, 9, 10, 10, 10, 1, 1, 1, 10, 40, 1, 1, 6, 1, 1, 1, 6, 1, 2, 6, 1, 2, 1, 6, 1, 2, 2, 2, 6, 1, 1, 10, 10, 4, 6, 2, 1, 10, 10, 10, 1, 6, 2, 10, 6, 10, 1, 10, 2, 10, 1, 2, 2, 2, 6, 10, 2, 6, 1, 2, 6, 2, 1, 1, 10, 6, 2, 2, 2, 10, 6, 6, 2, 10, 2, 10, 1, 1, 10, 6, 10, 1, 2, 6, 1, 1, 10, 1, 10, 1, 1, 6, 1, 1, 6, 6, 6, 6, 10, 6, 1, 10, 1, 6, 6, 1, 10, 6, 10, 10, 6, 10, 1, 10, 6, 6, 60, 10, 10, 2, 1, 1, 2, 10, 10, 10, 10, 10, 2, 2, 6, 2, 6, 2, 6, 6, 2, 10, 10, 2, 2, 2, 2, 2, 10, 2, 6, 2, 10, 1, 1, 1, 10, 10, 10, 10, 6, 6, 6, 10, 1, 1, 1, 1, 10, 2, 2, 2, 6, 10, 10, 2, 6, 6, 2, 6, 2, 6, 1, 10, 10, 10, 2, 10, 2, 6, 6, 2, 6, 2, 6, 2, 10, 1, 1, 10, 2, 5, 2, 10, 2, 1, 6, 6, 6, 10, 2, 6, 1, 2, 1, 10, 2, 10, 2, 2, 10, 6, 2, 6, 2, 2, 1, 10, 2, 2, 1, 10, 2, 1, 5, 1, 2, 1, 2, 2, 6, 6, 10, 6, 1, 6, 6, 6, 10, 10, 2, 2, 1, 1, 1, 2, 6, 10, 1, 2, 6, 1, 10, 6, 6, 10, 6, 1, 1, 2, 1, 6, 1, 6, 10, 6, 10, 0, 6, 4, 10, 4, 1, 1, 2, 1, 6, 1, 2, 1, 10, 10, 1, 10, 6, 10, 2, 6, 1, 10, 6, 2, 6, 2, 6, 6, 1, 10, 1, 2, 1, 1, 2, 10, 1, 6, 2, 10, 1, 1, 2, 2, 10, 10, 9, 6, 10, 2, 10, 2, 2, 10, 1, 2, 2, 2, 2, 1, 5, 10, 2, 10, 1, 9, 6, 10, 10, 1, 1, 2, 2, 2, 6, 2, 6, 1, 10, 5, 10, 1, 2, 4, 1, 1, 10, 6, 2, 6, 1, 1, 2, 2, 10, 2, 2, 6, 10, 10, 6, 2, 10, 10, 2, 1, 10, 2, 6, 6, 6, 1, 2, 6, 10, 6, 2, 2, 10, 10, 2, 2, 10, 6, 6, 2, 1, 6, 0, 2, 2, 1, 6, 10, 10, 1, 1, 6, 2, 10, 2, 1, 6, 0, 10, 6, 10, 2, 2, 10, 6, 6, 2, 10, 6, 1, 6, 6, 1, 1, 10, 1, 2, 2, 6, 10, 1, 10, 2, 6, 2, 6, 2, 10, 6, 6, 6, 6, 0, 10, 2, 1, 10, 6, 1, 10, 2, 10, 1, 50, 2, 2, 2, 6, 1, 1, 6, 10, 6, 10, 10, 10, 2, 2, 6, 2, 10, 1, 1, 6, 1, 2, 10, 6, 10, 2, 10, 10, 6, 2, 1, 1, 2, 1, 6, 2, 1, 6, 10, 0, 1, 10, 2, 10, 1, 2, 2, 1, 1, 6, 6, 6, 1, 9, 6, 1, 6, 2, 2, 6, 10, 2, 6, 1, 6, 6, 2, 2, 1, 6, 10, 10, 6, 2, 6, 2, 6, 10, 2, 2, 6, 1, 1, 10, 1, 1, 2, 1, 6, 10, 2, 6, 10, 6, 1, 6, 2, 1, 6, 1, 6, 10, 10, 10, 6, 1, 2, 1, 6, 10, 6, 10, 2, 2, 10, 6, 2, 2, 2, 2, 1, 1, 1, 2, 2, 6, 2, 10, 2, 1, 10, 10, 10, 6, 10, 6, 10, 6, 2, 2, 2, 1, 10, 1, 6, 2, 2, 10, 1, 2, 6, 10, 10, 2, 6, 6, 6, 1, 1, 1, 6, 1, 10, 2, 6, 10, 1, 10, 2, 1, 2, 2, 2, 2, 2, 6, 0, 2, 1, 6, 10, 2, 9, 1, 10, 1, 2, 6, 2, 10, 2, 10, 1, 6, 6, 2, 10, 10, 6, 10, 10, 1, 10, 2, 10, 6, 2, 10, 10, 6, 2, 2, 1, 6, 2, 2, 10, 2, 1, 6, 2, 2, 2, 2, 2, 2, 1, 2, 2, 10, 1, 0, 10, 1, 10, 2, 6, 1, 2, 1, 6, 10, 1, 6, 1, 10, 10, 6, 2, 2, 2, 2, 2, 6, 2, 10, 2, 1, 10, 10, 6, 2, 6, 1, 6, 10, 2, 10, 9, 2, 6, 1, 6, 10, 2, 10, 10, 10, 2, 6, 10, 2, 6, 2, 2, 10, 1, 1, 1, 10, 2, 2, 10, 10, 6, 10, 2, 1, 1, 1, 10, 2, 10, 6, 6, 10, 6, 6, 2, 1, 10, 1, 1, 1, 1, 1, 1, 10, 1, 1, 1, 2, 2, 6, 6, 6, 10, 10, 2, 1, 2, 10, 6, 10, 6, 10, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 10, 1, 10, 10, 1, 6, 1, 1, 10, 10, 6, 10, 1, 10, 1, 6, 1, 1, 2, 2, 6, 6, 1, 6, 1, 10, 2, 10, 6, 6, 2, 4, 2, 10, 10, 10, 2, 10, 6, 6, 10, 2, 10, 1, 6, 10, 6, 6, 2, 1, 1, 10, 6, 2, 1, 1, 10, 1, 6, 2, 10, 0, 1, 2, 10, 1, 10, 1, 10, 2, 10, 1, 6, 2, 6, 10, 10, 6, 1, 2, 2, 6, 1, 6, 6, 1, 2, 1, 10, 10, 10, 6, 6, 10, 2, 10, 1, 10, 2, 1, 10, 1, 10, 1, 4, 6, 1, 6, 6, 6, 2, 2, 1, 10, 1, 6, 0, 1, 6, 2, 1, 2, 1, 1, 6, 1, 6, 2, 1, 6, 6, 6, 10, 2, 10, 6, 1, 1, 10, 10, 10, 1, 1, 6, 10, 2, 10, 6, 2, 10, 1, 2, 1, 10, 6, 10, 6, 6, 6, 1, 2, 10, 6, 10, 6, 6, 2, 2, 2, 2, 2, 10, 2, 10, 10, 1, 1, 6, 10, 6, 6, 2, 1, 6, 1, 6, 2, 2, 2, 6, 6, 6, 50, 2, 2, 6, 1, 6, 2, 6, 2, 1, 6, 2, 1, 2, 10, 6, 10, 2, 2, 2, 1, 1, 2, 10, 10, 2, 6, 2, 2, 1, 6, 10, 2, 1, 6, 6, 1, 0, 6, 1, 0, 6, 6, 10, 1, 2, 1, 6, 1, 2, 10, 2, 10, 6, 1, 2, 10, 2, 1, 1, 6, 10, 9, 2, 1, 6, 10, 6, 2, 4, 1, 9, 1, 6, 1, 2, 6, 1, 6, 2, 2, 10, 10, 1, 1, 1, 10, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 6, 6, 1, 2, 1, 1, 1, 10, 10, 6, 10, 1, 10, 10, 2, 2, 10, 1, 6, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 6, 2, 1, 2, 10, 2, 10, 1, 10, 2, 10, 6, 2, 2, 6, 10, 6, 10, 1, 10, 1, 10, 6, 1, 2, 10, 1, 2, 1, 2, 6, 10, 1, 1, 2, 2, 10, 1, 2, 1, 6, 6, 6, 6, 1, 2, 1, 6, 10, 10, 2, 2, 6, 2, 1, 6, 6, 6, 1, 1, 6, 6, 2, 10, 1, 2, 10, 1, 2, 6, 1, 2, 6, 2, 6, 1, 2, 2, 6, 6, 10, 10, 10, 6, 10, 1, 10, 1, 10, 1, 6, 1, 6, 6, 6, 10, 6, 10, 2, 2, 2, 10, 6, 1, 1, 10, 6, 6, 10, 2, 6, 2, 6, 2, 2, 10, 2, 1, 6, 1, 2, 1, 6, 2, 10, 1, 6, 1, 2, 2, 6, 1, 1, 2, 10, 10, 2, 2, 6, 2, 6, 10, 1, 6, 10, 2, 1, 6, 2, 6, 2, 2, 6, 2, 6, 6, 1, 6, 10, 6, 1, 1, 10, 6, 2, 2, 10, 6, 10, 6, 1, 2, 10, 2, 6, 6, 10, 1, 6, 10, 6, 6, 2, 10, 1, 6, 1, 2, 2, 2, 2, 1, 1, 6, 6, 2, 2, 10, 2, 1, 6, 10, 2, 1, 10, 6, 1, 1, 9, 6, 10, 1, 2, 1, 1, 1, 6, 10, 10, 6, 1, 10, 2, 6, 5, 2, 2, 10, 10, 1, 2, 6, 6, 10, 1, 10, 1, 10, 1, 2, 1, 6, 2, 2, 6, 10, 1, 10, 6, 1, 2, 1, 6, 10, 2, 10, 1, 10, 2, 6, 6, 6, 2, 10, 2, 1, 5, 2, 10, 6, 10, 2, 10, 1, 2, 6, 6, 2, 2, 2, 2, 2, 6, 1, 2, 10, 1, 1, 10, 6, 10, 1, 6, 1, 1, 2, 2, 1, 1, 2, 1, 2, 6, 1, 10, 10, 10, 6, 1, 10, 1, 10, 6, 10, 10, 2, 1, 9, 10, 2, 1, 10, 1, 2, 6, 10, 2, 2, 2, 6, 6, 2, 1, 10, 2, 10, 4, 4, 6, 10, 10, 1, 1, 6, 60, 1, 10, 6, 6, 10, 2, 6, 2, 5, 2, 1, 2, 1, 1, 1, 6, 1, 2, 1, 10, 1, 6, 4, 1, 10, 10, 2, 6, 6, 6, 10, 10, 6, 1, 10, 1, 6, 2, 1, 6, 6, 10, 6, 2, 0, 1, 1, 1, 6, 10, 6, 1, 1, 2, 1, 10, 2, 1, 6, 6, 9, 2, 10, 1, 10, 6, 2, 10, 1, 6, 2, 6, 2, 2, 10, 2, 2, 6, 2, 10, 1, 1, 2, 6, 6, 6, 2, 10, 1, 6, 1, 6, 2, 10, 6, 6, 4, 2, 1, 6, 1, 1, 10, 2, 6, 1, 6, 0, 6, 10, 10, 6, 10, 6, 6, 6, 1, 1, 2, 1, 6, 6, 6, 6, 1, 6, 0, 10, 6, 2, 6, 2, 2, 2, 10, 6, 2, 2, 2, 2, 10, 1, 2, 1, 2, 10, 10, 6, 10, 1, 6, 2, 10, 6, 2, 2, 10, 2, 1, 2, 6, 1, 10, 6, 1, 6, 10, 1, 2, 1, 2, 6, 6, 1, 1, 2, 10, 10, 1, 9, 2, 1, 10, 1, 10, 6, 1, 6, 10, 2, 1, 10, 6, 6, 2, 9, 10, 2, 2, 10, 6, 2, 2, 2, 1, 2, 2, 4, 6, 10, 6, 10, 6, 1, 10, 2, 4, 6, 1, 2, 6, 2, 1, 50, 2, 2, 1, 2, 1, 2, 6, 6, 6, 6, 10, 6, 2, 6, 1, 1, 1, 2, 6, 1, 10, 6, 10, 1, 2, 1, 2, 10, 6, 1, 1, 1, 1, 10, 2, 6, 6, 6, 10, 10, 6, 1, 2, 6, 1, 1, 6, 1, 2, 10, 2, 6, 6, 6, 1, 10, 10, 2, 1, 1, 2, 1, 10, 1, 10, 2, 2, 2, 10, 10, 2, 2, 6, 6, 2, 2, 10, 6, 10, 1, 10, 10, 10, 6, 10, 6, 2, 10, 10, 1, 6, 1, 2, 2, 2, 1, 6, 2, 1, 10, 1, 2, 10, 9, 6, 1, 2, 2, 1, 6, 6, 10, 1, 2, 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10, 1, 10, 2, 4, 10, 10, 1, 1, 6, 10, 1, 1, 6, 10, 2, 2, 6, 6, 2, 6, 10, 2, 2, 6, 6, 6, 1, 2, 2, 1, 1, 1, 6, 10, 6, 9, 1, 6, 6, 6, 6, 1, 1, 6, 10, 10, 1, 6, 6, 6, 1, 1, 10, 6, 10, 2, 10, 2, 6, 10, 10, 6, 1, 2, 6, 1, 10, 2, 2, 1, 10, 6, 2, 2, 1, 6, 6, 10, 1, 6, 10, 6, 6, 6, 6, 1, 6, 10, 10, 2, 1, 10, 1, 3, 1, 2, 2, 1, 1, 2, 2, 6, 6, 1, 1, 2, 6, 10, 6, 6, 2, 1, 6, 1, 6, 1, 1, 6, 6, 1, 10, 2, 2, 10, 6, 10, 0, 6, 10, 2, 10, 1, 1, 10, 6, 10, 1, 1, 2, 6, 2, 6, 6, 10, 6, 1, 1, 10, 10, 2, 2, 6, 8, 2, 2, 2, 10, 10, 2, 6, 6, 1, 10, 10, 10, 1, 1, 6, 1, 2, 10, 2, 1, 1, 6, 1, 4, 6, 1, 2, 6, 10, 10, 10, 10, 1, 10, 2, 1, 1, 1, 5, 1, 6, 6, 6, 2, 1, 6, 6, 6, 1, 10, 1, 6, 1, 1, 10, 6, 6, 1, 6, 10, 6, 6, 10, 6, 10, 10, 10, 10, 1, 10, 10, 2, 10, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 10, 1, 2, 2, 6, 1, 6, 10, 6, 2, 2, 6, 1, 10, 2, 1, 5, 10, 2, 10, 2, 2, 10, 1, 10, 6, 2, 1, 10, 10, 6, 10, 1, 6, 9, 2, 6, 1, 2, 10, 2, 2, 2, 10, 5, 1, 1, 1, 1, 2, 2, 1, 10, 2, 10, 10, 1, 9, 1, 1, 10, 6, 10, 2, 1, 10, 2, 4, 10, 10, 6, 10, 10, 6, 6, 1, 1, 2, 6, 6, 1, 2, 2, 2, 6, 2, 1, 6, 6, 10, 1, 6, 6, 2, 2, 1, 2, 10, 10, 10, 6, 2, 6, 2, 1, 6, 2, 6, 10, 2, 10, 10, 2, 1, 6, 10, 1, 1, 6, 10, 6, 1, 10, 9, 1, 2, 1, 1, 1, 10, 1, 1, 6, 0, 10, 2, 1, 6, 2, 2, 10, 6, 6, 6, 1, 2, 10, 10, 10, 10, 10, 4, 2, 6, 10, 2, 1, 10, 1, 10, 1, 2, 1, 2, 1, 2, 2, 2, 9, 10, 6, 6, 60, 6, 1, 10, 1, 6, 10, 1, 2, 1, 2, 6, 1, 6, 6, 10, 2, 1, 10, 2, 2, 10, 1, 10, 6, 2, 10, 1, 9, 2, 1, 10, 10, 2, 10, 10, 6, 6, 10, 10, 10, 0, 1, 10, 10, 1, 6, 10, 10, 1, 2, 2, 10, 6, 1, 1, 2, 1, 1, 2, 2, 1, 2, 10, 6, 1, 1, 6, 10, 6, 1, 2, 6, 9, 1, 6, 1, 2, 1, 1, 6, 1, 2, 1, 1, 1, 2, 10, 10, 1, 10, 2, 1, 6, 2, 10, 6, 2, 6, 1, 2, 10, 2, 2, 6, 10, 2, 6, 2, 1, 6, 2, 6, 6, 6, 1, 1, 6, 1, 6, 10, 1, 6, 1, 1, 6, 6, 10, 6, 6, 2, 6, 1, 2, 10, 6, 10, 10, 6, 6, 1, 6, 2, 10, 6, 2, 10, 2, 10, 10, 10, 2, 10, 6, 1, 6, 6, 2, 6, 6, 6, 10, 6, 6, 6, 2, 6, 6, 6, 1, 2, 10, 10, 6, 10, 5, 6, 6, 10, 6, 6, 4, 2, 2, 2, 1, 2, 1, 6, 1, 2, 6, 10, 10, 2, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 2, 10, 10, 10, 10, 2, 6, 10, 2, 6, 1, 10, 2, 10, 2, 10, 2, 10, 10, 6, 2, 10, 1, 6, 10, 6, 10, 10, 1, 6, 6, 1, 1, 6, 6, 10, 1, 1, 10, 6, 10, 10, 6, 1, 5, 6, 1, 10, 1, 2, 6, 9, 6, 6, 2, 2, 6, 6, 6, 6, 1, 2, 6, 1, 2, 2, 1, 2, 6, 1, 1, 2, 5, 6, 1, 2, 10, 6, 2, 1, 6, 2, 5, 10, 4, 10, 2, 10, 6, 10, 10, 10, 10, 1, 6, 6, 6, 6, 1, 6, 1, 2, 2, 6, 10, 10, 2, 2, 10, 10, 1, 6, 1, 2, 2, 10, 10, 1, 10, 10, 6, 1, 1, 1, 2, 10, 1, 1, 1, 6, 6, 10, 1, 10, 10, 6, 6, 1, 6, 1, 10, 2, 6, 10, 10, 2, 10, 10, 2, 10, 6, 2, 6, 10, 6, 1, 6, 2, 6, 2, 6, 1, 2, 1, 1, 1, 10, 10, 6, 2, 2, 2, 1, 1, 6, 6, 6, 2, 10, 10, 2, 2, 1, 2, 10, 2, 1, 2, 2, 6, 6, 2, 10, 2, 2, 10, 1, 6, 10, 1, 10, 10, 1, 1, 10, 10, 6, 2, 10, 1, 2, 1, 2, 6, 10, 1, 1, 6, 6, 6, 6, 6, 2, 10, 10, 6, 10, 6, 1, 4, 10, 2, 10, 10, 2, 1, 10, 10, 1, 10, 6, 10, 10, 2, 10, 10, 2, 6, 10, 10, 6, 4, 2, 2, 6, 6, 1, 1, 2, 1, 10, 10, 6, 10, 1, 10, 1, 4, 2, 10, 1, 2, 1, 10, 10, 10, 6, 2, 10, 0, 6, 2, 2, 1, 10, 10, 1, 10, 10, 10, 10, 6, 1, 6, 2, 10, 2, 6, 1, 4, 1, 1, 1, 6, 2, 6, 10, 10, 6, 1, 6, 1, 1, 2, 2, 10, 1, 1, 6, 10, 1, 10, 6, 6, 2, 10, 10, 10, 10, 2, 1, 7, 6, 1, 2, 6, 6, 2, 1, 10, 1, 2, 6, 1, 2, 6, 1, 6, 2, 10, 1, 1, 1, 10, 1, 10, 10, 10, 10, 4, 2, 10, 10, 2, 2, 10, 2, 9, 2, 1, 2, 10, 6, 6, 6, 10, 6, 10, 6, 2, 1, 2, 2, 6, 2, 2, 6, 1, 1, 1, 2, 6, 2, 10, 10, 10, 6, 6, 6, 2, 5, 2, 1, 6, 2, 1, 1, 1, 0, 2, 1, 10, 2, 1, 5, 6, 1, 1, 2, 2, 10, 1, 6, 2, 10, 1, 10, 7, 10, 2, 10, 6, 6, 2, 1, 10, 6, 0, 10, 2, 1, 6, 1, 1, 6, 10, 2, 2, 1, 6, 6, 2, 1, 6, 10, 5, 10, 2, 6, 2, 10, 6, 6, 1, 2, 10, 2, 10, 2, 10, 6, 2, 1, 1, 9, 6, 2, 1, 1, 2, 2, 10, 1, 2, 6, 1, 4, 6, 1, 1, 1, 1, 1, 10, 10, 1, 2, 2, 1, 2, 2, 10, 2, 10, 1, 2, 10, 6, 2, 1, 2, 6, 1, 1, 2, 6, 1, 2, 10, 6, 10, 2, 1, 10, 10, 6, 10, 2, 1, 2, 6, 1, 6, 6, 2, 1, 1, 10, 1, 1, 1, 2, 1, 2, 6, 6, 2, 1, 6, 2, 2, 2, 6, 10, 10, 10, 6, 1, 6, 1, 10, 10, 2, 10, 6, 1, 2, 2, 2, 6, 10, 10, 10, 10, 6, 1, 2, 2, 2, 2, 6, 1, 6, 6, 2, 6, 10, 1, 2, 2, 2, 1, 10, 2, 2, 2, 1, 1, 2, 6, 1, 1, 10, 10, 1, 1, 6, 1, 6, 2, 2, 2, 6, 2, 10, 10, 10, 10, 10, 2, 6, 1, 0, 10, 6, 10, 10, 0, 6, 6, 1, 1, 1, 2, 2, 1, 1, 10, 9, 10, 2, 1, 6, 2, 1, 6, 1, 6, 10, 6, 10, 10, 1, 10, 2, 1, 6, 9, 10, 10, 1, 1, 10, 10, 10, 2, 10, 4, 0, 2, 6, 2, 6, 0, 6, 10, 2, 10, 6, 10, 5, 10, 10, 1, 6, 50, 10, 2, 2, 9, 6, 6, 6, 2, 9, 10, 1, 6, 10, 6, 6, 2, 6, 2, 10, 6, 0, 2, 6, 2, 6, 10, 1, 6, 2, 10, 1, 2, 2, 10, 1, 2, 10, 2, 2, 10, 2, 2, 6, 10, 2, 6, 2, 1, 2, 2, 10, 2, 10, 1, 6, 6, 1, 6, 2, 2, 10, 1, 10, 2, 6, 6, 6, 6, 10, 10, 5, 2, 1, 2, 4, 10, 1, 1, 2, 6, 2, 6, 2, 2, 6, 2, 6, 2, 10, 2, 2, 2, 0, 2, 10, 10, 2, 1, 2, 6, 0, 4, 1, 2, 1, 6, 6, 10, 2, 2, 1, 1, 10, 10, 6, 6, 2, 6, 10, 1, 6, 1, 6, 6, 6, 10, 10, 10, 2, 2, 1, 10, 1, 2, 2, 1, 2, 6, 2, 2, 10, 6, 2, 1, 2, 10, 0, 6, 1, 2, 1, 2, 1, 2, 6, 10, 2, 5, 6, 10, 2, 6, 2, 10, 1, 2, 2, 10, 10, 10, 1, 2, 6, 1, 1, 2, 10, 10, 1, 10, 10, 2, 6, 6, 6, 6, 2, 6, 1, 1, 10, 1, 1, 1, 4, 10, 10, 1, 2, 10, 1, 10, 10, 1, 10, 1, 1, 10, 2, 1, 10, 1, 1, 6, 1, 10, 10, 2, 10, 6, 1, 10, 6, 2, 6, 10, 10, 1, 10, 1, 2, 2, 10, 2, 10, 2, 6, 5, 6, 1, 10, 6, 2, 2, 10, 1, 1, 1, 2, 6, 1, 2, 1, 10, 10, 6, 6, 6, 1, 1, 2, 2, 1, 1, 6, 6, 6, 10, 10, 10, 2, 2, 1, 6, 10, 2, 2, 6, 6, 10, 2, 2, 10, 10, 1, 1, 10, 1, 2, 10, 6, 6, 1, 6, 1, 10, 1, 1, 2, 10, 1, 10, 2, 1, 2, 6, 1, 2, 2, 6, 1, 6, 6, 1, 2, 1, 6, 1, 2, 6, 6, 2, 1, 6, 6, 2, 1, 6, 6, 2, 10, 6, 6, 6, 6, 10, 1, 1, 6, 2, 0, 2, 6, 5, 2, 1, 1, 2, 6, 10, 1, 2, 1, 10, 6, 10, 6, 1, 1, 10, 10, 10, 10, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 6, 1, 2, 6, 6, 2, 6, 1, 1, 1, 10, 1, 6, 2, 10, 6, 1, 10, 10, 10, 1, 5, 10, 1, 6, 1, 6, 2, 10, 1, 2, 6, 2, 2, 1, 6, 6, 1, 10, 2, 1, 6, 1, 2, 6, 10, 2, 2, 10, 6, 6, 2, 2, 6, 6, 1, 10, 10, 10, 2, 2, 6, 6, 1, 10, 10, 6, 10, 2, 10, 6, 6, 6, 2, 2, 6, 10, 6, 1, 1, 10, 2, 1, 6, 2, 2, 10, 1, 1, 6, 10, 10, 1, 1, 10, 5, 10, 2, 2, 10, 10, 6, 10, 1, 2, 1, 2, 1, 2, 10, 2, 10, 1, 10, 1, 2, 1, 6, 4, 2, 1, 1, 6, 6, 10, 6, 1, 10, 10, 10, 10, 2, 10, 10, 2, 10, 10, 2, 10, 10, 10, 6, 2, 6, 6, 10, 1, 6, 10, 10, 1, 1, 1, 10, 10, 1, 2, 2, 1, 2, 2, 6, 10, 10, 1, 2, 1, 1, 10, 2, 2, 1, 1, 6, 1, 9, 10, 6, 1, 10, 1, 1, 1, 6, 10, 5, 6, 6, 1, 1, 2, 1, 1, 2, 1, 10, 6, 5, 6, 6, 1, 2, 2, 10, 10, 6, 2, 10, 1, 1, 2, 2, 10, 2, 1, 10, 2, 1, 10, 10, 6, 10, 10, 1, 2, 6, 1, 1, 6, 1, 2, 2, 1, 6, 6, 1, 2, 6, 5, 10, 1, 2, 10, 1, 10, 6, 1, 9, 6, 1, 10, 1, 6, 2, 10, 6, 10, 10, 10, 2, 1, 6, 2, 2, 2, 10, 1, 2, 10, 2, 6, 2, 1, 10, 10, 6, 1, 10, 1, 1, 6, 2, 2, 6, 6, 1, 2, 6, 6, 10, 2, 1, 10, 6, 1, 1, 2, 10, 10, 2, 4, 10, 10, 1, 6, 1, 6, 1, 6, 2, 6, 6, 2, 6, 2, 2, 2, 1, 2, 10, 2, 6, 1, 1, 1, 2, 6, 2, 2, 1, 10, 2, 10, 10, 1, 2, 10, 6, 10, 10, 10, 2, 6, 6, 10, 2, 2, 1, 6, 1, 6, 10, 5, 10, 1, 6, 10, 2, 2, 2, 2, 6, 10, 2, 1, 10, 10, 6, 6, 1, 1, 10, 10, 6, 10, 10, 2, 6, 1, 1, 6, 10, 1, 6, 1, 2, 10, 6, 60, 1, 10, 6, 1, 2, 2, 6, 2, 6, 10, 1, 1, 1, 6, 1, 2, 10, 2, 1, 10, 10, 10, 2, 6, 1, 6, 2, 1, 2, 1, 6, 2, 10, 10, 1, 10, 1, 1, 10, 10, 2, 2, 6, 6, 6, 2, 6, 2, 10, 10, 10, 6, 10, 6, 2, 1, 1, 6, 6, 1, 6, 2, 10, 6, 2, 10, 10, 2, 1, 1, 2, 10, 10, 2, 10, 10, 0, 6, 1, 2, 10, 6, 10, 2, 10, 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6, 10, 6, 1, 10, 1, 10, 2, 10, 6, 6, 1, 1, 10, 2, 1, 1, 2, 1, 4, 6, 1, 6, 2, 6, 2, 1, 6, 1, 10, 6, 10, 6, 2, 1, 1, 2, 2, 6, 6, 1, 2, 1, 10, 1, 10, 10, 2, 1, 10, 10, 1, 2, 2, 6, 2, 6, 1, 1, 2, 2, 1, 10, 10, 4, 6, 6, 6, 10, 2, 10, 1, 2, 1, 10, 10, 1, 1, 10, 1, 6, 2, 2, 2, 1, 10, 2, 1, 1, 1, 10, 2, 2, 2, 4, 1, 5, 2, 2, 6, 6, 6, 2, 4, 6, 1, 10, 2, 1, 6, 2, 10, 1, 1, 2, 1, 10, 2, 6, 2, 2, 6, 10, 6, 1, 4, 6, 1, 6, 10, 6, 10, 6, 6, 2, 6, 10, 2, 6, 1, 1, 2, 2, 10, 1, 6, 2, 6, 1, 2, 1, 6, 1, 2, 1, 2, 1, 2, 10, 1, 1, 10, 1, 10, 10, 2, 1, 2, 6, 10, 6, 10, 10, 1, 2, 10, 2, 10, 1, 2, 2, 2, 6, 10, 10, 2, 4, 2, 6, 2, 6, 1, 6, 10, 6, 1, 6, 1, 6, 6, 10, 10, 10, 2, 10, 1, 10, 2, 2, 4, 1, 2, 6, 2, 1, 6, 6, 6, 2, 2, 2, 6, 10, 1, 2, 2, 10, 10, 1, 6, 6, 2, 10, 6, 10, 6, 6, 10, 6, 10, 2, 6, 1, 10, 10, 1, 1, 1, 2, 6, 1, 6, 1, 1, 10, 5, 10, 10, 2, 10, 1, 1, 10, 10, 6, 6, 2, 6, 6, 2, 10, 6, 1, 1, 10, 6, 1, 1, 1, 6, 2, 2, 6, 6, 1, 1, 10, 1, 6, 6, 10, 6, 2, 2, 10, 10, 2, 0, 2, 10, 6, 10, 5, 1, 6, 1, 6, 10, 4, 6, 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6, 2, 2, 1, 2, 6, 2, 1, 6, 10, 10, 2, 1, 6, 6, 2, 6, 6, 2, 10, 2, 6, 2, 6, 6, 2, 1, 1, 6, 10, 6, 10, 9, 10, 1, 1, 6, 2, 2, 6, 2, 1, 1, 6, 6, 10, 10, 2, 10, 10, 10, 10, 1, 6, 2, 10, 10, 9, 2, 2, 2, 2, 10, 2, 1, 10, 6, 10, 4, 1, 6, 10, 10, 6, 10, 1, 6, 2, 10, 1, 1, 10, 10, 6, 1, 10, 10, 1, 10, 2, 6, 10, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 10, 1, 1, 1, 10, 10, 1, 1, 1, 6, 10, 10, 6, 6, 2, 6, 1, 2, 2, 10, 1, 2, 1, 2, 6, 0, 5, 6, 1, 10, 8, 6, 2, 2, 0, 6, 1, 1, 2, 6, 10, 6, 2, 1, 10, 6, 1, 10, 1, 2, 2, 6, 1, 2, 2, 1, 6, 1, 10, 10, 10, 2, 6, 2, 2, 6, 2, 10, 10, 2, 10, 2, 2, 2, 6, 1, 2, 2, 6, 6, 0, 6, 2, 2, 10, 10, 2, 2, 6, 1, 10, 10, 10, 1, 1, 10, 2, 6, 2, 2, 1, 5, 6, 6, 6, 1, 6, 6, 10, 1, 10, 1, 2, 10, 2, 1, 10, 1, 1, 10, 1, 2, 1, 6, 10, 10, 1, 10, 2, 6, 10, 2, 2, 6, 6, 1, 10, 6, 10, 2, 6, 2, 6, 10, 6, 2, 2, 10, 2, 10, 10, 2, 2, 2, 1, 6, 6, 6, 1, 6, 6, 1, 2, 6, 10, 6, 1, 6, 10, 6, 10, 2, 2, 1, 10, 6, 1, 2, 10, 2, 1, 6, 2, 2, 2, 2, 1, 10, 10, 2, 6, 10, 1, 10, 6, 6, 10, 2, 2, 0, 6, 10, 1, 2, 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6, 2, 10, 1, 1, 2, 10, 1, 10, 10, 6, 10, 1, 1, 10, 6, 2, 6, 10, 6, 6, 2, 1, 2, 2, 2, 6, 6, 2, 6, 2, 6, 6, 2, 2, 2, 10, 2, 6, 6, 10, 1, 1, 1, 2, 2, 2, 2, 6, 6, 5, 1, 1, 6, 2, 10, 2, 1, 6, 10, 1, 10, 1, 1, 6, 2, 10, 1, 1, 9, 1, 6, 1, 6, 10, 0, 10, 2, 1, 6, 2, 1, 1, 6, 2, 10, 6, 6, 6, 2, 10, 6, 2, 5, 10, 1, 6, 2, 10, 2, 1, 2, 6, 2, 6, 1, 1, 1, 2, 6, 1, 2, 10, 10, 6, 10, 6, 1, 10, 6, 1, 1, 2, 1, 10, 10, 10, 10, 6, 5, 6, 6, 1, 6, 10, 1, 2, 2, 2, 6, 1, 0, 10, 10, 2, 1, 1, 10, 1, 5, 10, 10, 10, 6, 6, 1, 10, 2, 6, 10, 1, 2, 2, 2, 10, 1, 1, 1, 2, 1, 10, 1, 2, 1, 1, 1, 1, 9, 2, 6, 6, 6, 6, 6, 6, 10, 10, 10, 2, 1, 10, 2, 1, 10, 3, 10, 10, 1, 6, 6, 6, 1, 2, 1, 1, 6, 10, 1, 6, 6, 2, 2, 9, 2, 10, 2, 6, 1, 1, 6, 1, 2, 1, 2, 10, 1, 2, 10, 10, 1, 6, 10, 1, 10, 10, 2, 1, 6, 2, 6, 10, 10, 1, 6, 1, 2, 2, 10, 10, 2, 1, 1, 2, 10, 6, 2, 10, 1, 1, 2, 10, 1, 10, 10, 6, 6, 10, 2, 6, 10, 10, 2, 2, 6, 10, 1, 2, 10, 6, 0, 4, 6, 2, 6, 1, 1, 2, 2, 10, 1, 9, 2, 1, 10, 10, 6, 2, 10, 6, 2, 6, 1, 5, 2, 2, 6, 2, 10, 10, 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2, 2, 10, 10, 2, 2, 6, 2, 6, 2, 1, 6, 1, 10, 10, 10, 2, 1, 10, 6, 6, 6, 10, 6, 2, 1, 10, 6, 10, 6, 10, 10, 10, 10, 1, 7, 1, 1, 6, 2, 2, 2, 1, 10, 2, 1, 1, 1, 10, 6, 10, 2, 10, 6, 6, 4, 6, 6, 1, 6, 6, 10, 1, 1, 1, 6, 6, 2, 1, 6, 6, 2, 6, 6, 6, 6, 10, 6, 1, 2, 6, 1, 10, 6, 2, 1, 6, 6, 2, 1, 6, 6, 10, 10, 1, 2, 4, 10, 2, 6, 2, 2, 6, 6, 6, 10, 1, 6, 2, 6, 10, 10, 2, 6, 6, 1, 1, 2, 5, 10, 2, 1, 2, 10, 10, 2, 2, 6, 6, 1, 9, 10, 2, 2, 2, 10, 6, 2, 2, 10, 6, 2, 2, 6, 1, 1, 10, 10, 2, 6, 2, 10, 0, 2, 2, 6, 6, 10, 6, 10, 10, 6, 2, 2, 1, 1, 10, 6, 2, 1, 10, 1, 2, 6, 10, 10, 2, 1, 10, 1, 2, 5, 2, 6, 6, 1, 10, 6, 1, 10, 10, 1, 2, 2, 2, 6, 2, 1, 10, 6, 6, 10, 2, 10, 6, 1, 1, 2, 10, 10, 1, 1, 6, 1, 10, 1, 1, 1, 1, 1, 6, 1, 10, 6, 6, 1, 1, 2, 1, 10, 6, 1, 2, 1, 1, 6, 10, 2, 2, 1, 0, 2, 6, 6, 6, 1, 1, 6, 2, 6, 10, 6, 2, 2, 6, 6, 10, 6, 1, 6, 1, 6, 6, 2, 2, 10, 10, 6, 6, 1, 2, 2, 2, 6, 6, 2, 10, 1, 6, 6, 10, 2, 1, 1, 1, 10, 2, 6, 2, 2, 2, 10, 6, 10, 2, 10, 6, 6, 1, 2, 2, 1, 6, 6, 6, 2, 6, 10, 10, 1, 10, 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1, 2, 1, 2, 10, 1, 1, 6, 6, 2, 1, 6, 2, 1, 10, 10, 2, 6, 10, 6, 10, 2, 1, 8, 10, 1, 1, 10, 1, 2, 10, 6, 6, 0, 1, 6, 2, 1, 6, 1, 1, 2, 2, 2, 1, 2, 10, 1, 1, 6, 2, 6, 5, 2, 10, 6, 1, 1, 2, 2, 10, 6, 1, 0, 1, 6, 10, 6, 2, 2, 2, 6, 4, 2, 1, 6, 6, 10, 2, 10, 1, 10, 6, 1, 1, 10, 1, 2, 1, 1, 10, 1, 2, 2, 1, 2, 6, 10, 10, 2, 2, 10, 6, 6, 6, 2, 1, 6, 10, 10, 1, 2, 2, 2, 6, 2, 1, 10, 1, 6, 4, 2, 2, 2, 6, 10, 6, 6, 2, 2, 1, 6, 10, 1, 2, 6, 10, 10, 10, 6, 10, 10, 0, 1, 10, 10, 10, 10, 1, 6, 2, 10, 6, 1, 2, 1, 6, 1, 10, 6, 6, 2, 1, 2, 2, 2, 10, 1, 10, 1, 6, 10, 10, 4, 10, 10, 1, 2, 10, 40, 2, 2, 1, 1, 6, 2, 1, 2, 2, 6, 2, 10, 6, 6, 6, 6, 6, 2, 6, 6, 2, 2, 10, 6, 10, 10, 6, 1, 6, 6, 10, 2, 2, 6, 10, 6, 2, 1, 2, 2, 1, 6, 10, 1, 6, 1, 6, 1, 10, 10, 2, 2, 1, 10, 1, 2, 1, 10, 6, 1, 10, 2, 2, 4, 0, 10, 1, 2, 10, 6, 10, 1, 2, 1, 6, 10, 2, 10, 2, 6, 2, 6, 10, 1, 10, 2, 6, 10, 2, 1, 1, 6, 2, 10, 1, 1, 1, 6, 10, 1, 1, 1, 10, 6, 4, 1, 2, 10, 1, 10, 10, 1, 10, 10, 1, 6, 10, 2, 10, 6, 1, 2, 6, 10, 10, 6, 2, 6, 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1, 2, 1, 10, 2, 10, 10, 10, 2, 1, 2, 1, 10, 2, 2, 6, 1, 10, 2, 1, 10, 1, 2, 6, 6, 6, 10, 10, 1, 6, 6, 1, 6, 2, 10, 10, 10, 10, 6, 2, 1, 1, 1, 2, 2, 4, 5, 6, 6, 10, 1, 10, 1, 2, 2, 1, 10, 6, 2, 2, 6, 2, 6, 10, 1, 6, 2, 2, 10, 10, 1, 10, 10, 2, 6, 2, 6, 6, 4, 1, 1, 6, 10, 10, 6, 10, 10, 10, 10, 6, 1, 6, 10, 6, 10, 10, 4, 6, 2, 2, 10, 1, 10, 10, 6, 10, 6, 10, 2, 6, 1, 1, 1, 10, 2, 1, 6, 10, 2, 1, 1, 10, 0, 10, 10, 2, 1, 1, 2, 10, 6, 10, 2, 10, 10, 1, 1, 6, 10, 6, 10, 10, 10, 2, 1, 1, 1, 10, 2, 1, 10, 1, 2, 1, 2, 10, 1, 10, 6, 1, 1, 5, 6, 6, 2, 1, 6, 10, 6, 2, 10, 2, 10, 6, 1, 1, 10, 2, 10, 6, 9, 10, 2, 2, 6, 6, 10, 2, 10, 10, 1, 2, 1, 6, 10, 1, 1, 10, 2, 10, 10, 1, 9, 2, 6, 10, 1, 1, 1, 1, 1, 1, 10, 6, 10, 10, 1, 2, 10, 1, 1, 6, 6, 10, 1, 10, 9, 6, 10, 10, 10, 2, 10, 6, 10, 2, 2, 1, 1, 2, 10, 1, 10, 1, 1, 1, 10, 1, 10, 6, 1, 6, 0, 6, 10, 2, 10, 6, 2, 2, 6, 2, 1, 10, 2, 6, 1, 2, 6, 6, 2, 2, 6, 6, 6, 2, 1, 2, 1, 2, 2, 10, 10, 10, 2, 2, 1, 2, 1, 1, 2, 2, 6, 2, 2, 1, 10, 2, 10, 9, 6, 10, 6, 9, 1, 6, 2, 1, 10, 2, 5, 10, 1, 9, 1, 10, 2, 10, 1, 6, 1, 1, 6, 1, 2, 2, 6, 6, 6, 1, 1, 2, 2, 6, 6, 1, 1, 10, 6, 2, 3, 6, 10, 10, 0, 0, 1, 2, 10, 2, 10, 6, 6, 6, 10, 10, 1, 2, 10, 1, 6, 1, 2, 10, 6, 2, 1, 6, 2, 1, 2, 6, 2, 6, 1, 10, 2, 2, 2, 2, 2, 2, 6, 6, 1, 1, 1, 2, 6, 2, 10, 2, 2, 1, 0, 10, 6, 0, 6, 10, 2, 6, 1, 6, 10, 10, 6, 1, 2, 6, 10, 0, 2, 2, 6, 1, 1, 1, 1, 2, 2, 2, 2, 1, 10, 2, 1, 6, 10, 1, 4, 1, 1, 1, 10, 10, 6, 6, 10, 10, 10, 2, 2, 10, 1, 6, 1, 2, 6, 1, 10, 2, 10, 10, 2, 1, 1, 6, 10, 6, 6, 10, 2, 6, 1, 0, 1, 1, 10, 1, 1, 2, 1, 10, 6, 10, 6, 2, 10, 2, 6, 2, 10, 1, 2, 6, 2, 6, 2, 10, 1, 2, 2, 1, 2, 1, 2, 6, 2, 10, 6, 6, 1, 6, 6, 1, 6, 10, 10, 2, 6, 10, 10, 2, 1, 1, 10, 1, 6, 6, 1, 1, 10, 1, 6, 6, 0, 6, 10, 10, 6, 1, 1, 10, 2, 1, 2, 6, 6, 6, 6, 2, 2, 2, 2, 2, 10, 1, 1, 1, 1, 6, 10, 10, 6, 9, 1, 10, 6, 6, 6, 2, 10, 10, 6, 1, 10, 1, 2, 2, 1, 10, 1, 10, 5, 2, 6, 1, 10, 6, 2, 1, 1, 1, 10, 6, 10, 1, 6, 1, 4, 1, 2, 1, 6, 6, 6, 2, 2, 10, 10, 1, 2, 2, 2, 10, 1, 2, 1, 10, 2, 1, 2, 2, 6, 10, 6, 10, 2, 2, 1, 6, 6, 10, 1, 6, 2, 1, 10, 1, 2, 2, 10, 1, 10, 6, 2, 2, 10, 1, 10, 1, 2, 2, 6, 2, 6, 10, 6, 2, 10, 1, 1, 2, 2, 6, 2, 1, 10, 10, 1, 1, 2, 10, 10, 1, 2, 10, 10, 1, 6, 2, 2, 10, 6, 10, 10, 1, 1, 1, 10, 2, 10, 1, 10, 1, 2, 10, 6, 10, 1, 1, 1, 6, 10, 6, 5, 1, 10, 2, 10, 1, 10, 6, 2, 10, 2, 6, 1, 1, 6, 10, 6, 6, 2, 1, 1, 10, 1, 1, 1, 1, 6, 2, 6, 1, 1, 1, 6, 6, 10, 1, 2, 2, 6, 2, 6, 6, 6, 10, 10, 6, 1, 10, 1, 6, 1, 6, 10, 1, 2, 1, 10, 2, 2, 10, 9, 1, 10, 1, 1, 10, 1, 10, 1, 6, 1, 6, 1, 2, 2, 6, 2, 10, 2, 10, 10, 10, 2, 1, 1, 10, 10, 6, 6, 2, 6, 1, 1, 6, 2, 4, 10, 2, 2, 6, 2, 1, 1, 10, 2, 2, 10, 10, 1, 10, 2, 2, 1, 1, 1, 1, 1, 10, 10, 6, 1, 0, 2, 2, 6, 1, 1, 10, 6, 2, 10, 2, 10, 6, 1, 2, 10, 2, 6, 10, 10, 1, 2, 2, 2, 10, 1, 9, 10, 10, 2, 10, 6, 10, 2, 2, 1, 2, 10, 2, 2, 1, 6, 6, 10, 1, 6, 2, 2, 6, 2, 10, 2, 6, 6, 10, 5, 2, 10, 2, 2, 1, 6, 0, 6, 10, 1, 1, 1, 1, 10, 0, 1, 10, 2, 6, 1, 10, 10, 6, 8, 6, 10, 10, 1, 1, 6, 2, 1, 6, 2, 10, 6, 6, 2, 2, 6, 10, 2, 1, 2, 1, 1, 1, 1, 10, 6, 6, 6, 10, 6, 6, 2, 2, 1, 10, 1, 2, 6, 2, 2, 6, 10, 1, 1, 2, 10, 2, 6, 10, 2, 10, 2, 1, 10, 10, 1, 2, 1, 10, 9, 1, 2, 6, 2, 6, 1, 10, 2, 6, 2, 6, 10, 10, 10, 10, 6, 1, 2, 10, 1, 2, 2, 6, 10, 10, 2, 10, 2, 6, 5, 1, 10, 10, 10, 2, 1, 2, 10, 10, 6, 10, 0, 1, 10, 6, 1, 2, 2, 2, 0, 6, 10, 6, 10, 6, 2, 10, 1, 6, 2, 2, 2, 10, 2, 6, 6, 2, 4, 1, 6, 6, 2, 10, 6, 2, 6, 6, 2, 2, 10, 10, 10, 10, 6, 1, 2, 6, 2, 6, 2, 1, 6, 6, 1, 10, 2, 10, 6, 6, 6, 10, 2, 10, 1, 9, 1, 1, 1, 2, 6, 2, 1, 1, 10, 1, 2, 2, 2, 10, 2, 6, 2, 1, 1, 10, 6, 2, 10, 1, 9, 2, 6, 10, 2, 10, 1, 2, 6, 1, 6, 10, 1, 10, 10, 10, 10, 1, 1, 2, 10, 1, 10, 6, 1, 1, 10, 6, 6, 10, 6, 1, 2, 10, 1, 10, 10, 2, 10, 6, 2, 2, 2, 1, 2, 2, 1, 6, 1, 2, 6, 6, 10, 3, 6, 2, 1, 2, 1, 6, 1, 2, 6, 6, 6, 10, 1, 1, 10, 6, 10, 10, 10, 1, 1, 1, 10, 2, 2, 1, 2, 10, 0, 10, 1, 10, 6, 10, 10, 1, 1, 10, 6, 10, 10, 10, 10, 6, 10, 1, 10, 1, 1, 10, 6, 6, 0, 1, 1, 6, 10, 1, 10, 10, 10, 6, 2, 6, 2, 1, 6, 10, 2, 2, 10, 5, 1, 2, 6, 2, 6, 6, 1, 1, 10, 10, 2, 6, 6, 10, 10, 6, 2, 2, 6, 2, 10, 2, 2, 6, 2, 2, 6, 10, 10, 1, 1, 2, 9, 2, 5, 10, 10, 10, 10, 2, 1, 1, 10, 6, 6, 2, 1, 6, 2, 5, 1, 10, 2, 2, 6, 6, 6, 2, 6, 6, 2, 10, 6, 1, 1, 6, 10, 10, 10, 2, 10, 6, 60, 6, 6, 2, 1, 2, 10, 2, 6, 6, 6, 1, 10, 6, 2, 10, 1, 1, 2, 2, 2, 6, 60, 6, 6, 6, 10, 2, 10, 6, 1, 10, 9, 10, 2, 2, 1, 6, 1, 6, 2, 1, 10, 6, 6, 6, 9, 2, 6, 1, 10, 1, 2, 6, 10, 2, 10, 2, 10, 1, 10, 6, 2, 2, 2, 2, 10, 6, 6, 6, 1, 6, 10, 10, 1, 1, 10, 2, 6, 4, 2, 10, 10, 1, 6, 10, 6, 6, 6, 10, 1, 6, 1, 2, 10, 1, 1, 6, 6, 2, 5, 6, 1, 2, 6, 10, 1, 2, 10, 1, 10, 2, 10, 1, 10, 6, 2, 6, 10, 0, 1, 6, 2, 2, 1, 2, 6, 2, 1, 1, 2, 6, 2, 6, 1, 10, 5, 10, 1, 10, 9, 6, 9, 2, 6, 1, 1, 2, 6, 1, 2, 6, 10, 2, 10, 2, 1, 1, 10, 10, 2, 1, 10, 1, 6, 10, 10, 1, 10, 10, 10, 10, 2, 6, 2, 6, 10, 6, 2, 1, 1, 2, 10, 2, 1, 1, 1, 4, 6, 6, 1, 6, 2, 10, 10, 1, 2, 2, 2, 6, 1, 6, 2, 1, 1, 10, 1, 1, 1, 1, 10, 2, 10, 10, 10, 10, 10, 6, 2, 10, 10, 4, 10, 5, 1, 2, 10, 10, 6, 2, 6, 1, 6, 2, 5, 1, 2, 1, 10, 2, 6, 10, 2, 2, 10, 1, 9, 2, 1, 10, 6, 6, 1, 6, 2, 6, 10, 6, 2, 6, 1, 1, 2, 10, 2, 6, 1, 10, 2, 2, 6, 2, 1, 2, 6, 10, 10, 2, 10, 10, 10, 2, 2, 10, 2, 4, 6, 2, 1, 10, 2, 6, 10, 6, 10, 1, 1, 1, 1, 2, 10, 10, 2, 6, 2, 10, 10, 1, 1, 1, 10, 1, 10, 10, 6, 1, 1, 10, 10, 10, 2, 1, 1, 2, 6, 2, 2, 10, 2, 1, 2, 1, 1, 1, 1, 2, 1, 10, 10, 2, 6, 1, 1, 1, 6, 0, 1, 2, 2, 1, 1, 1, 6, 1, 1, 6, 6, 2, 1, 10, 6, 6, 1, 10, 10, 10, 6, 5, 10, 9, 6, 1, 10, 6, 2, 6, 6, 10, 6, 2, 2, 1, 1, 6, 10, 9, 6, 10, 1, 2, 10, 1, 1, 6, 6, 2, 6, 2, 1, 6, 6, 6, 2, 2, 1, 1, 2, 2, 10, 2, 1, 10, 10, 2, 10, 10, 10, 2, 4, 10, 2, 1, 2, 10, 1, 6, 1, 6, 10, 6, 10, 6, 10, 10, 10, 10, 6, 6, 10, 10, 2, 6, 6, 6, 6, 6, 10, 1, 2, 2, 1, 1, 6, 6, 2, 6, 2, 6, 1, 1, 6, 2, 10, 1, 10, 1, 10, 6, 2, 10, 2, 6, 2, 2, 1, 1, 6, 10, 10, 6, 6, 1, 10, 1, 6, 10, 2, 10, 6, 1, 1, 2, 6, 10, 6, 6, 1, 1, 1, 6, 1, 2, 1, 10, 6, 10, 10, 1, 1, 10, 2, 10, 1, 10, 1, 2, 2, 1, 1, 10, 10, 1, 1, 1, 10, 2, 2, 6, 10, 1, 10, 1, 6, 2, 6, 10, 2, 5, 2, 1, 2, 2, 1, 10, 1, 5, 2, 10, 10, 6, 2, 1, 6, 2, 10, 1, 10, 6, 6, 1, 10, 2, 1, 10, 6, 6, 10, 10, 10, 1, 10, 1, 1, 1, 10, 6, 1, 2, 2, 10, 1, 1, 2, 1, 1, 1, 10, 6, 1, 1, 6, 2, 2, 2, 2, 6, 1, 1, 6, 6, 10, 6, 10, 2, 2, 2, 2, 2, 10, 2, 6, 10, 1, 6, 0, 1, 6, 10, 2, 10, 6, 1, 1, 6, 2, 2, 1, 1, 1, 1, 10, 1, 10, 10, 2, 2, 6, 2, 10, 2, 2, 1, 10, 6, 10, 2, 2, 2, 1, 1, 2, 1, 5, 2, 1, 10, 1, 2, 6, 2, 6, 2, 1, 6, 6, 6, 6, 2, 6, 6, 10, 1, 1, 6, 10, 2, 1, 1, 2, 1, 2, 2, 10, 6, 6, 10, 10, 1, 10, 6, 2, 2, 6, 1, 10, 2, 2, 6, 1, 6, 2, 6, 2, 2, 6, 10, 6, 10, 4, 1, 6, 2, 10, 6, 1, 2, 1, 10, 2, 2, 1, 6, 2, 10, 10, 6, 10, 1, 10, 10, 10, 1, 6, 2, 2, 1, 1, 6, 1, 10, 6, 2, 10, 2, 6, 1, 1, 1, 6, 6, 10, 10, 1, 6, 1, 6, 4, 2, 6, 1, 1, 4, 7, 10, 1, 10, 5, 6, 2, 10, 6, 2, 10, 10, 10, 1, 2, 10, 10, 6, 6, 1, 10, 2, 2, 6, 1, 2, 1, 1, 6, 10, 10, 10, 1, 1, 6, 6, 2, 1, 1, 1, 10, 6, 10, 2, 4, 10, 10, 10, 10, 1, 0, 2, 1, 1, 10, 2, 1, 6, 6, 6, 1, 1, 1, 2, 10, 10, 6, 10, 6, 6, 10, 2, 1, 10, 6, 1, 1, 1, 6, 1, 1, 2, 1, 2, 2, 6, 9, 1, 2, 6, 10, 10, 2, 2, 1, 10, 2, 2, 2, 1, 6, 10, 10, 1, 10, 1, 1, 2, 2, 6, 1, 6, 10, 1, 9, 1, 10, 10, 1, 1, 1, 6, 1, 1, 6, 1, 6, 6, 9, 1, 0, 1, 10, 2, 6, 2, 1, 2, 1, 10, 2, 6, 6, 10, 10, 2, 10, 10, 2, 2, 6, 6, 6, 1, 6, 2, 1, 10, 2, 1, 2, 6, 6, 1, 1, 10, 6, 6, 10, 6, 2, 4, 6, 2, 2, 2, 6, 4, 10, 2, 1, 6, 2, 1, 1, 6, 10, 10, 9, 2, 2, 2, 1, 6, 1, 2, 10, 6, 2, 6, 6, 4, 5, 1, 6, 1, 2, 2, 10, 6, 6, 6, 2, 10, 6, 2, 6, 1, 2, 6, 6, 6, 10, 1, 10, 6, 10, 1, 1, 1, 10, 2, 10, 6, 2, 10, 10, 10, 10, 2, 1, 6, 1, 4, 10, 1, 2, 6, 2, 0, 10, 6, 1, 6, 1, 1, 6, 6, 2, 10, 2, 6, 10, 0, 10, 10, 10, 6, 6, 6, 6, 2, 1, 1, 2, 1, 10, 6, 6, 2, 2, 10, 10, 1, 6, 10, 10, 6, 10, 6, 5, 10, 1, 2, 2, 2, 6, 10, 10, 1, 2, 6, 10, 1, 10, 1, 1, 2, 10, 6, 2, 1, 1, 2, 2, 6, 4, 2, 6, 6, 1, 2, 10, 1, 10, 2, 10, 6, 6, 2, 6, 10, 10, 10, 2, 6, 1, 1, 10, 1, 10, 4, 2, 1, 6, 6, 6, 10, 10, 2, 1, 2, 10, 6, 10, 1, 2, 6, 1, 6, 6, 10, 1, 1, 10, 2, 6, 2, 1, 10, 10, 2, 2, 2, 6, 1, 2, 1, 2, 10, 2, 2, 6, 1, 7, 2, 6, 1, 10, 1, 6, 1, 1, 10, 6, 10, 1, 1, 10, 0, 10, 2, 2, 2, 10, 10, 6, 1, 10, 2, 10, 1, 10, 10, 10, 10, 6, 1, 6, 10, 4, 6, 0, 6, 1, 1, 1, 2, 1, 6, 6, 2, 2, 4, 1, 1, 1, 6, 10, 2, 6, 2, 1, 2, 2, 1, 6, 9, 2, 2, 6, 6, 10, 1, 1, 10, 2, 2, 6, 2, 1, 1, 6, 10, 6, 6, 0, 2, 6, 10, 1, 1, 10, 10, 10, 10, 10, 2, 1, 1, 10, 1, 1, 10, 10, 6, 4, 1, 2, 6, 1, 6, 4, 2, 2, 1, 2, 1, 2, 6, 10, 1, 2, 2, 1, 1, 10, 2, 2, 2, 6, 10, 6, 1, 2, 10, 1, 1, 10, 10, 6, 1, 10, 10, 2, 6, 1, 1, 1, 1, 2, 2, 2, 10, 6, 2, 10, 2, 1, 1, 6, 10, 4, 10, 1, 1, 2, 10, 2, 6, 5, 6, 6, 1, 1, 2, 2, 10, 10, 2, 6, 10, 6, 10, 6, 6, 2, 1, 6, 10, 2, 10, 1, 2, 10, 2, 10, 10, 6, 1, 10, 2, 6, 1, 1, 1, 2, 1, 10, 2, 2, 2, 1, 5, 10, 10, 6, 2, 6, 1, 1, 2, 6, 6, 10, 2, 0, 2, 10, 1, 6, 1, 10, 6, 10, 2, 1, 10, 6, 2, 1, 0, 4, 6, 6, 10, 6, 10, 1, 2, 1, 1, 2, 2, 1, 10, 6, 2, 2, 1, 1, 2, 2, 1, 10, 10, 10, 10, 2, 10, 1, 1, 6, 6, 6, 10, 1, 10, 10, 6, 10, 2, 2, 6, 2, 10, 2, 10, 10, 1, 2, 1, 1, 6, 6, 2, 6, 1, 10, 6, 2, 6, 6, 2, 9, 10, 10, 6, 6, 2, 10, 10, 2, 6, 1, 1, 10, 6, 1, 2, 10, 1, 6, 2, 1, 2, 1, 1, 9, 6, 2, 6, 6, 1, 6, 10, 6, 2, 6, 1, 6, 10, 2, 2, 6, 1, 6, 2, 6, 2, 2, 6, 6, 1, 2, 6, 1, 2, 10, 6, 1, 2, 1, 10, 1, 6, 6, 10, 6, 1, 1, 10, 1, 10, 1, 2, 6, 6, 1, 10, 10, 1, 2, 6, 1, 6, 5, 1, 10, 1, 10, 10, 6, 1, 1, 10, 10, 6, 6, 6, 6, 2, 10, 2, 6, 6, 6, 1, 2, 10, 10, 2, 1, 10, 1, 1, 2, 6, 1, 2, 6, 1, 2, 6, 2, 10, 6, 10, 1, 1, 10, 10, 2, 10, 2, 10, 6, 2, 2, 6, 1, 2, 2, 5, 2, 6, 1, 6, 10, 2, 1, 2, 2, 1, 1, 6, 2, 2, 10, 1, 10, 2, 2, 6, 6, 10, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 6, 6, 10, 2, 1, 0, 6, 2, 1, 1, 6, 6, 2, 6, 10, 10, 10, 6, 2, 1, 2, 10, 6, 2, 10, 6, 2, 2, 1, 1, 1, 2, 6, 10, 2, 6, 2, 2, 10, 1, 2, 10, 10, 1, 2, 2, 0, 2, 1, 1, 10, 1, 10, 6, 10, 2, 6, 1, 2, 1, 10, 10, 2, 2, 1, 6, 10, 2, 10, 6, 2, 1, 2, 6, 10, 1, 6, 1, 6, 1, 1, 2, 6, 6, 1, 2, 10, 10, 1, 2, 6, 2, 1, 6, 1, 10, 10, 2, 6, 6, 9, 6, 6, 10, 6, 10, 1, 6, 10, 6, 1, 2, 6, 2, 10, 10, 1, 1, 10, 1, 10, 6, 2, 2, 1, 6, 10, 6, 6, 6, 1, 6, 2, 1, 1, 6, 6, 2, 10, 1, 2, 2, 6, 1, 1, 2, 2, 2, 6, 2, 1, 6, 2, 6, 2, 1, 6, 2, 10, 6, 2, 1, 10, 2, 6, 10, 2, 10, 10, 10, 1, 1, 10, 1, 2, 2, 1, 2, 2, 6, 2, 4, 6, 2, 6, 10, 1, 2, 6, 2, 2, 6, 2, 10, 1, 2, 5, 6, 6, 2, 10, 6, 6, 2, 2, 2, 1, 2, 6, 1, 4, 6, 1, 1, 6, 2, 1, 6, 6, 60, 10, 1, 5, 1, 1, 10, 6, 6, 10, 2, 6, 0, 6, 6, 2, 10, 1, 6, 6, 10, 2, 6, 1, 6, 1, 10, 9, 1, 2, 0, 10, 10, 6, 2, 2, 2, 10, 6, 10, 2, 10, 1, 1, 2, 10, 6, 10, 6, 2, 2, 6, 6, 2, 10, 10, 10, 1, 10, 10, 10, 1, 10, 2, 2, 10, 1, 2, 10, 2, 6, 6, 10, 10, 10, 10, 10, 10, 6, 6, 1, 2, 1, 6, 6, 0, 10, 6, 6, 1, 6, 2, 1, 2, 2, 10, 1, 9, 2, 1, 10, 4, 10, 6, 6, 10, 2, 1, 2, 1, 10, 1, 2, 1, 2, 2, 1, 1, 1, 2, 10, 1, 6, 1, 6, 1, 2, 2, 1, 1, 6, 1, 6, 6, 1, 1, 1, 10, 2, 6, 1, 10, 1, 10, 6, 6, 2, 1, 1, 6, 2, 10, 2, 6, 2, 2, 4, 6, 1, 1, 10, 1, 6, 2, 0, 1, 6, 10, 6, 1, 1, 2, 6, 10, 6, 1, 6, 2, 4, 1, 1, 10, 6, 6, 5, 1, 10, 6, 2, 10, 10, 6, 6, 1, 2, 1, 1, 2, 10, 10, 10, 6, 2, 2, 6, 10, 10, 6, 1, 6, 6, 6, 2, 10, 1, 6, 1, 2, 6, 6, 1, 1, 6, 1, 2, 10, 1, 2, 2, 1, 1, 6, 1, 2, 10, 10, 1, 1, 10, 6, 1, 6, 6, 6, 5, 10, 1, 10, 2, 10, 2, 6, 10, 10, 1, 10, 5, 2, 6, 1, 2, 1, 10, 6, 0, 2, 6, 2, 6, 10, 1, 10, 1, 2, 6, 1, 10, 10, 2, 1, 1, 2, 1, 10, 2, 1, 2, 2, 2, 0, 2, 2, 1, 6, 2, 1, 1, 6, 6, 1, 1, 6, 1, 2, 10, 2, 1, 10, 2, 1, 0, 2, 10, 1, 1, 1, 6, 1, 10, 6, 2, 2, 2, 6, 10, 10, 10, 1, 2, 1, 1, 2, 10, 6, 10, 2, 2, 1, 2, 1, 1, 6, 2, 1, 6, 6, 1, 2, 6, 1, 1, 6, 2, 10, 10, 1, 6, 2, 10, 6, 2, 2, 1, 2, 1, 2, 6, 10, 2, 6, 2, 1, 6, 5, 10, 2, 1, 2, 10, 2, 1, 1, 2, 1, 6, 1, 10, 2, 6, 5, 2, 1, 2, 1, 1, 2, 1, 9, 10, 2, 1, 2, 10, 6, 1, 1, 1, 1, 10, 1, 10, 6, 6, 1, 1, 1, 2, 6, 1, 6, 10, 1, 10, 6, 6, 10, 2, 10, 2, 2, 1, 6, 1, 10, 6, 6, 2, 10, 1, 1, 1, 2, 2, 6, 1, 1, 6, 6, 4, 1, 5, 1, 2, 1, 10, 2, 6, 1, 2, 1, 2, 1, 10, 10, 6, 2, 1, 1, 6, 1, 1, 1, 6, 2, 1, 6, 2, 6, 2, 10, 6, 10, 1, 10, 2, 10, 10, 10, 10, 10, 1, 6, 10, 6, 1, 10, 2, 2, 6, 1, 2, 2, 6, 6, 10, 6, 2, 2, 6, 2, 6, 9, 10, 0, 10, 6, 9, 0, 6, 1, 2, 2, 1, 10, 10, 2, 10, 2, 2, 1, 2, 10, 2, 10, 10, 6, 2, 10, 1, 2, 10, 6, 6, 2, 6, 2, 10, 6, 10, 10, 2, 2, 6, 10, 2, 6, 9, 10, 10, 2, 6, 10, 9, 2, 10, 5, 10, 2, 1, 2, 10, 1, 4, 1, 10, 10, 2, 2, 2, 10, 10, 6, 6, 2, 10, 6, 6, 1, 6, 10, 1, 2, 1, 2, 1, 2, 2, 2, 10, 1, 10, 1, 6, 10, 10, 1, 1, 10, 10, 10, 1, 6, 6, 6, 2, 1, 1, 1, 4, 2, 6, 1, 1, 10, 1, 1, 4, 2, 2, 6, 2, 6, 6, 6, 2, 6, 10, 2, 6, 2, 10, 6, 2, 2, 2, 2, 2, 2, 6, 2, 10, 6, 10, 6, 2, 2, 6, 2, 6, 2, 10, 2, 1, 6, 10, 6, 6, 1, 1, 6, 6, 1, 6, 6, 1, 6, 10, 10, 2, 10, 1, 10, 1, 1, 2, 2, 1, 2, 10, 6, 10, 10, 6, 1, 6, 6, 6, 2, 6, 10, 1, 2, 2, 2, 6, 10, 6, 1, 6, 2, 6, 1, 2, 10, 1, 2, 2, 2, 2, 10, 1, 2, 6, 6, 2, 1, 2, 1, 2, 2, 2, 10, 6, 2, 1, 2, 2, 10, 6, 10, 2, 10, 10, 10, 10, 10, 1, 10, 2, 6, 1, 6, 10, 10, 1, 1, 6, 6, 6, 6, 10, 6, 10, 1, 2, 6, 1, 10, 10, 1, 2, 2, 10, 2, 2, 6, 6, 1, 10, 1, 1, 1, 10, 6, 2, 1, 2, 10, 10, 2, 1, 2, 10, 10, 2, 6, 10, 10, 2, 6, 6, 2, 10, 6, 1, 0, 6, 6, 6, 2, 2, 2, 2, 10, 2, 6, 2, 10, 6, 9, 1, 10, 1, 10, 2, 2, 1, 10, 2, 1, 9, 6, 2, 2, 6, 1, 10, 1, 2, 10, 2, 0, 1, 1, 2, 10, 6, 1, 6, 10, 1, 2, 1, 6, 10, 1, 6, 0, 10, 2, 1, 1, 10, 1, 10, 6, 10, 2, 10, 10, 2, 10, 1, 2, 2, 6, 2, 10, 1, 1, 10, 10, 2, 6, 10, 6, 10, 1, 6, 1, 6, 6, 9, 5, 2, 1, 1, 2, 6, 10, 6, 1, 2, 5, 2, 1, 2, 1, 6, 4, 10, 6, 10, 1, 1, 2, 6, 10, 1, 6, 6, 10, 10, 6, 6, 0, 10, 1, 10, 6, 10, 1, 10, 10, 10, 2, 1, 2, 1, 1, 2, 6, 1, 1, 2, 6, 10, 1, 2, 6, 6, 1, 9, 10, 2, 1, 1, 6, 1, 1, 6, 2, 6, 6, 4, 10, 6, 2, 2, 1, 10, 6, 2, 2, 2, 10, 2, 10, 10, 2, 1, 1, 6, 6, 10, 10, 10, 1, 1, 10, 2, 1, 2, 2, 6, 6, 1, 6, 6, 10, 6, 1, 10, 2, 1, 2, 1, 2, 10, 1, 10, 10, 1, 1, 10, 10, 2, 10, 2, 6, 6, 10, 10, 2, 6, 1, 10, 2, 2, 6, 6, 10, 1, 6, 6, 10, 2, 6, 10, 1, 6, 1, 2, 1, 6, 1, 1, 6, 6, 10, 2, 10, 10, 10, 1, 1, 1, 10, 6, 2, 10, 2, 1, 6, 1, 2, 10, 2, 2, 10, 6, 2, 2, 6, 10, 6, 6, 1, 6, 6, 1, 1, 1, 10, 6, 2, 6, 10, 2, 1, 10, 10, 4, 10, 10, 10, 6, 1, 6, 10, 2, 6, 10, 6, 6, 10, 10, 2, 6, 1, 2, 10, 2, 1, 1, 10, 6, 6, 6, 6, 6, 10, 1, 6, 2, 1, 10, 2, 1, 2, 5, 1, 10, 1, 4, 1, 10, 10, 2, 1, 6, 1, 1, 2, 6, 10, 2, 6, 1, 1, 6, 1, 2, 10, 5, 2, 2, 1, 6, 6, 10, 1, 10, 6, 1, 6, 2, 10, 2, 10, 2, 1, 6, 2, 6, 10, 1, 10, 6, 1, 5, 6, 2, 10, 2, 6, 1, 6, 10, 10, 6, 6, 6, 2, 6, 2, 1, 1, 1, 1, 2, 6, 6, 10, 1, 1, 2, 1, 2, 1, 5, 1, 6, 7, 10, 10, 6, 10, 1, 2, 1, 2, 1, 1, 2, 1, 10, 5, 6, 1, 1, 6, 2, 10, 10, 10, 10, 10, 2, 2, 6, 6, 10, 6, 1, 10, 6, 6, 10, 10, 1, 2, 1, 6, 6, 6, 1, 2, 10, 6, 1, 6, 2, 2, 1, 1, 1, 2, 6, 10, 10, 6, 2, 6, 1, 6, 1, 10, 6, 10, 2, 2, 6, 2, 6, 2, 2, 1, 10, 2, 2, 2, 6, 10, 10, 1, 1, 10, 5, 1, 10, 6, 10, 6, 10, 1, 0, 10, 6, 6, 4, 6, 10, 10, 1, 2, 1, 10, 6, 1, 6, 10, 6, 6, 2, 10, 1, 1, 6, 6, 1, 6, 1, 1, 6, 10, 2, 10, 1, 6, 5, 1, 1, 10, 10, 1, 2, 10, 2, 6, 2, 1, 2, 1, 2, 6, 1, 1, 2, 10, 6, 6, 10, 1, 2, 10, 10, 10, 2, 2, 2, 6, 10, 6, 6, 2, 1, 1, 2, 1, 1, 1, 6, 2, 6, 1, 1, 10, 2, 4, 2, 6, 10, 6, 10, 1, 2, 2, 10, 6, 10, 2, 1, 1, 10, 6, 1, 2, 2, 1, 2, 2, 2, 1, 6, 2, 1, 9, 1, 6, 1, 10, 6, 1, 10, 2, 6, 6, 10, 1, 6, 10, 6, 10, 1, 10, 1, 2, 10, 6, 2, 10, 2, 2, 10, 10, 2, 10, 2, 1, 1, 10, 1, 2, 10, 1, 2, 2, 2, 10, 1, 10, 6, 1, 6, 6, 6, 6, 2, 10, 2, 1, 1, 10, 1, 2, 2, 10, 2, 10, 6, 6, 1, 6, 10, 2, 10, 10, 10, 6, 1, 1, 6, 2, 1, 2, 10, 1, 2, 6, 6, 10, 2, 8, 10, 2, 9, 2, 10, 2, 1, 10, 1, 6, 6, 2, 1, 6, 10, 1, 2, 6, 1, 2, 2, 1, 6, 1, 2, 1, 6, 1, 1, 1, 6, 6, 6, 1, 2, 6, 6, 10, 6, 2, 1, 0, 10, 6, 2, 6, 10, 10, 2, 10, 2, 2, 6, 1, 2, 1, 6, 4, 6, 10, 6, 10, 1, 10, 10, 1, 1, 6, 10, 6, 1, 2, 10, 6, 6, 1, 2, 2, 6, 6, 1, 10, 1, 10, 1, 10, 10, 2, 5, 2, 2, 10, 6, 6, 6, 2, 2, 2, 6, 1, 6, 6, 10, 2, 6, 6, 10, 2, 2, 6, 10, 1, 1, 1, 6, 2, 2, 2, 6, 6, 2, 6, 6, 1, 10, 9, 6, 6, 10, 1, 6, 10, 6, 1, 2, 6, 4, 6, 0, 6, 6, 10, 5, 1, 10, 2, 10, 1, 6, 6, 2, 6, 10, 1, 1, 6, 1, 0, 0, 1, 1, 6, 6, 10, 2, 6, 2, 2, 10, 2, 10, 6, 6, 10, 10, 10, 2, 6, 6, 10, 2, 6, 2, 1, 6, 1, 0, 2, 1, 2, 1, 6, 10, 2, 2, 10, 6, 1, 2, 1, 10, 6, 1, 6, 2, 1, 1, 10, 2, 6, 2, 6, 1, 2, 6, 1, 2, 2, 1, 2, 2, 10, 2, 40, 2, 1, 10, 10, 1, 1, 0, 10, 10, 1, 10, 2, 10, 4, 2, 2, 2, 1, 1, 2, 10, 2, 1, 1, 1, 6, 1, 1, 2, 6, 10, 1, 10, 6, 1, 6, 2, 6, 2, 1, 10, 1, 10, 1, 10, 1, 0, 2, 6, 60, 6, 2, 6, 10, 10, 1, 1, 10, 6, 2, 6, 2, 10, 6, 1, 10, 6, 1, 1, 1, 10, 1, 1, 1, 1, 1, 1, 1, 4, 10, 6, 10, 6, 6, 6, 10, 1, 1, 2, 10, 6, 1, 2, 2, 6, 1, 10, 2, 2, 1, 2, 1, 10, 1, 10, 1, 1, 2, 10, 10, 6, 1, 2, 2, 10, 6, 2, 2, 1, 10, 2, 10, 6, 10, 4, 10, 1, 1, 10, 1, 6, 2, 6, 2, 10, 4, 10, 10, 2, 10, 10, 0, 6, 10, 6, 1, 10, 10, 2, 2, 9, 2, 10, 6, 6, 2, 1, 6, 6, 0, 2, 6, 6, 6, 1, 10, 10, 10, 2, 10, 2, 1, 2, 6, 6, 1, 6, 1, 1, 2, 2, 2, 10, 1, 2, 1, 1, 2, 6, 1, 10, 2, 6, 1, 1, 1, 1, 2, 6, 10, 2, 6, 2, 1, 1, 1, 6, 1, 1, 8, 2, 1, 2, 10, 1, 1, 2, 9, 10, 6, 1, 10, 6, 10, 10, 2, 2, 6, 10, 2, 10, 2, 6, 1, 1, 2, 6, 6, 6, 2, 2, 1, 1, 2, 1, 10, 2, 6, 10, 9, 6, 5, 9, 10, 6, 6, 10, 1, 10, 1, 2, 1, 10, 1, 1, 2, 1, 6, 1, 6, 1, 10, 1, 1, 1, 2, 10, 10, 1, 6, 2, 2, 2, 1, 1, 2, 6, 1, 2, 2, 1, 6, 1, 10, 1, 2, 1, 1, 1, 2, 1, 10, 6, 1, 2, 2, 1, 10, 1, 6, 6, 1, 10, 10, 2, 10, 6, 2, 10, 1, 6, 2, 10, 10, 10, 1, 10, 10, 2, 2, 2, 1, 1, 10, 1, 1, 6, 1, 6, 1, 2, 6, 1, 2, 2, 6, 10, 6, 1, 10, 1, 10, 10, 2, 1, 2, 10, 2, 2, 10, 10, 2, 6, 10, 2, 3, 10, 2, 6, 1, 6, 10, 1, 1, 6, 1, 6, 10, 2, 6, 1, 1, 10, 1, 2, 1, 1, 10, 1, 2, 6, 1, 2, 1, 1, 6, 10, 6, 10, 10, 1, 6, 10, 2, 1, 6, 1, 9, 6, 6, 10, 2, 2, 2, 1, 1, 10, 2, 1, 1, 6, 10, 1, 1, 1, 10, 1, 10, 10, 10, 6, 10, 2, 1, 2, 1, 6, 2, 1, 0, 2, 2, 10, 10, 2, 1, 6, 1, 6, 10, 10, 1, 6, 2, 2, 10, 2, 1, 10, 6, 9, 1, 0, 4, 1, 1, 6, 1, 1, 2, 2, 6, 1, 10, 2, 2, 2, 1, 1, 9, 6, 6, 1, 2, 6, 6, 6, 2, 10, 1, 2, 6, 2, 4, 10, 1, 10, 6, 10, 10, 1, 6, 1, 2, 1, 10, 2, 1, 1, 9, 5, 6, 1, 10, 6, 2, 10, 2, 1, 10, 2, 2, 6, 10, 1, 1, 1, 6, 2, 2, 10, 0, 9, 1, 6, 1, 6, 6, 1, 10, 10, 6, 1, 2, 10, 10, 2, 2, 6, 2, 10, 1, 1, 10, 2, 2, 0, 1, 10, 10, 1, 6, 1, 1, 1, 2, 1, 10, 10, 10, 6, 6, 10, 6, 1, 6, 6, 6, 6, 10, 10, 6, 1, 10, 6, 6, 2, 1, 2, 6, 2, 6, 2, 2, 10, 1, 1, 6, 10, 10, 10, 1, 2, 6, 2, 1, 2, 1, 6, 5, 4, 2, 1, 6, 6, 10, 1, 10, 0, 2, 10, 10, 2, 10, 10, 6, 7, 10, 6, 1, 2, 1, 6, 2, 1, 6, 2, 1, 6, 10, 6, 10, 10, 2, 6, 6, 0, 6, 2, 6, 1, 10, 1, 6, 1, 2, 2, 6, 1, 2, 6, 1, 6, 6, 1, 6, 1, 10, 2, 10, 2, 6, 10, 6, 1, 1, 2, 2, 10, 6, 6, 6, 10, 1, 6, 9, 1, 5, 6, 6, 1, 6, 10, 6, 2, 1, 1, 6, 1, 10, 10, 4, 2, 6, 0, 2, 2, 1, 6, 6, 2, 10, 6, 6, 2, 2, 6, 6, 1, 2, 10, 10, 2, 2, 1, 2, 4, 10, 2, 6, 2, 2, 6, 1, 4, 2, 10, 2, 10, 6, 1, 6, 10, 1, 2, 2, 6, 6, 2, 10, 1, 1, 10, 6, 10, 10, 6, 10, 1, 2, 10, 6, 10, 1, 2, 6, 6, 5, 10, 2, 1, 1, 10, 10, 1, 10, 10, 1, 10, 10, 6, 6, 10, 10, 6, 1, 1, 6, 2, 1, 2, 1, 1, 1, 1, 1, 1, 6, 6, 1, 10, 10, 6, 2, 6, 10, 10, 6, 6, 10, 2, 2, 6, 10, 1, 6, 10, 6, 10, 2, 6, 6, 1, 10, 6, 2, 10, 5, 10, 1, 2, 1, 2, 2, 1, 10, 10, 10, 1, 1, 6, 10, 10, 10, 10, 1, 6, 1, 2, 2, 2, 10, 10, 5, 6, 1, 6, 6, 2, 10, 2, 6, 1, 10, 2, 5, 10, 6, 10, 10, 6, 6, 6, 6, 1, 6, 1, 1, 6, 2, 1, 10, 10, 2, 6, 2, 2, 1, 6, 2, 2, 2, 1, 2, 1, 2, 2, 6, 6, 10, 10, 6, 2, 1, 2, 10, 2, 2, 6, 6, 6, 1, 10, 2, 10, 1, 1, 2, 6, 10, 2, 1, 6, 6, 2, 1, 6, 10, 1, 5, 6, 1, 1, 2, 10, 10, 2, 2, 10, 6, 1, 6, 2, 1, 2, 1, 10, 6, 2, 10, 10, 10, 10, 6, 1, 2, 6, 6, 2, 1, 2, 6, 2, 2, 2, 10, 10, 9, 1, 6, 10, 10, 10, 6, 10, 1, 1, 1, 2, 2, 1, 10, 1, 10, 2, 1, 1, 10, 10, 1, 9, 9, 10, 2, 6, 10, 10, 2, 10, 10, 2, 2, 1, 6, 10, 2, 0, 6, 1, 1, 6, 1, 6, 10, 6, 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6, 2, 1, 10, 2, 10, 2, 9, 2, 6, 2, 2, 1, 10, 10, 2, 6, 2, 6, 5, 10, 1, 1, 0, 1, 2, 6, 10, 2, 1, 1, 5, 10, 10, 2, 6, 6, 6, 10, 2, 2, 6, 6, 2, 6, 2, 6, 60, 2, 1, 1, 10, 10, 6, 60, 1, 1, 1, 2, 1, 6, 1, 6, 2, 2, 2, 10, 6, 10, 10, 1, 1, 6, 10, 2, 1, 10, 1, 1, 1, 2, 10, 6, 6, 2, 9, 6, 1, 10, 1, 1, 2, 10, 2, 2, 1, 1, 10, 6, 1, 6, 1, 6, 10, 2, 6, 10, 6, 6, 10, 10, 6, 1, 10, 6, 10, 10, 1, 10, 10, 1, 1, 2, 2, 10, 2, 6, 2, 2, 6, 1, 1, 2, 6, 1, 6, 10, 1, 1, 6, 1, 0, 1, 10, 9, 10, 8, 6, 10, 6, 2, 6, 10, 2, 6, 10, 2, 2, 6, 2, 6, 1, 10, 1, 10, 2, 2, 10, 6, 10, 1, 10, 2, 50, 1, 2, 1, 2, 6, 6, 10, 10, 2, 1, 6, 1, 6, 1, 0, 6, 5, 1, 6, 1, 2, 10, 1, 6, 6, 6, 6, 2, 2, 1, 1, 2, 6, 10, 10, 6, 10, 10, 10, 4, 6, 2, 10, 1, 1, 10, 6, 6, 2, 6, 10, 6, 1, 1, 10, 1, 10, 1, 10, 10, 2, 6, 10, 2, 1, 1, 1, 6, 1, 2, 1, 2, 10, 10, 2, 10, 1, 6, 1, 1, 1, 6, 10, 1, 1, 1, 6, 2, 6, 10, 6, 6, 10, 1, 2, 9, 1, 2, 2, 6, 2, 2, 6, 6, 1, 6, 2, 6, 2, 6, 2, 6, 10, 1, 6, 10, 6, 1, 1, 6, 10, 1, 1, 2, 2, 2, 0, 6, 2, 6, 1, 2, 1, 6, 2, 10, 2, 2, 6, 2, 6, 6, 6, 5, 1, 6, 2, 10, 1, 2, 1, 2, 2, 6, 6, 1, 6, 1, 2, 10, 10, 6, 2, 10, 1, 6, 6, 10, 6, 2, 2, 6, 10, 6, 6, 10, 6, 2, 6, 10, 2, 6, 6, 2, 6, 2, 6, 10, 6, 9, 6, 6, 10, 1, 1, 2, 10, 6, 10, 2, 2, 1, 6, 6, 1, 2, 2, 1, 6, 1, 6, 1, 4, 6, 2, 2, 2, 1, 10, 2, 6, 2, 10, 2, 10, 6, 1, 10, 10, 6, 2, 1, 10, 6, 10, 2, 10, 10, 2, 10, 6, 1, 2, 2, 10, 1, 2, 1, 6, 2, 1, 10, 6, 1, 2, 6, 1, 10, 6, 1, 6, 1, 10, 5, 2, 6, 10, 8, 10, 6, 1, 1, 6, 2, 6, 1, 6, 10, 2, 10, 6, 10, 1, 1, 10, 10, 5, 2, 1, 0, 2, 2, 6, 1, 1, 6, 6, 0, 10, 10, 6, 1, 10, 10, 1, 10, 10, 10, 6, 6, 1, 6, 2, 1, 1, 6, 10, 2, 10, 10, 6, 1, 2, 1, 10, 10, 6, 1, 1, 2, 6, 10, 5, 1, 1, 2, 2, 10, 10, 1, 1, 10, 2, 10, 10, 6, 10, 6, 0, 6, 10, 10, 1, 6, 2, 6, 10, 6, 2, 1, 10, 10, 10, 2, 6, 6, 0, 1, 1, 10, 10, 2, 1, 1, 1, 2, 2, 1, 6, 6, 10, 1, 10, 10, 2, 1, 1, 6, 2, 6, 10, 6, 2, 6, 10, 1, 10, 6, 1, 6, 2, 5, 6, 2, 5, 2, 1, 2, 6, 10, 10, 6, 1, 6, 2, 1, 6, 6, 10, 10, 1, 1, 10, 10, 10, 6, 1, 6, 10, 10, 6, 2, 10, 10, 10, 2, 2, 2, 2, 6, 10, 6, 6, 2, 6, 1, 1, 4, 2, 6, 1, 2, 6, 10, 6, 6, 1, 10, 10, 2, 6, 10, 1, 2, 6, 2, 10, 5, 2, 6, 1, 1, 1, 2, 1, 10, 1, 6, 5, 2, 1, 2, 6, 10, 6, 6, 6, 10, 4, 6, 1, 1, 1, 1, 6, 10, 1, 1, 0, 6, 1, 6, 10, 10, 10, 1, 1, 6, 1, 10, 2, 10, 10, 1, 6, 10, 2, 5, 10, 10, 1, 2, 1, 10, 2, 10, 6, 2, 2, 6, 6, 10, 6, 2, 6, 5, 10, 1, 2, 1, 2, 10, 2, 1, 10, 2, 10, 6, 10, 10, 10, 6, 2, 6, 10, 1, 2, 1, 2, 2, 10, 6, 2, 1, 2, 6, 6, 10, 6, 10, 1, 6, 6, 10, 10, 1, 1, 6, 2, 6, 1, 1, 6, 10, 10, 1, 6, 2, 10, 2, 6, 6, 10, 2, 6, 6, 1, 6, 1, 6, 1, 6, 0, 1, 6, 6, 2, 6, 6, 2, 10, 6, 1, 1, 2, 10, 10, 1, 6, 2, 6, 1, 1, 2, 1, 6, 2, 1, 1, 2, 1, 6, 6, 1, 6, 0, 6, 10, 2, 6, 6, 6, 1, 2, 6, 1, 1, 1, 10, 6, 2, 6, 10, 10, 1, 10, 2, 2, 6, 6, 2, 1, 10, 1, 1, 2, 10, 10, 6, 1, 4, 1, 6, 1, 2, 1, 1, 2, 2, 6, 10, 2, 10, 1, 2, 6, 9, 6, 2, 1, 10, 1, 2, 10, 10, 6, 1, 2, 2, 2, 1, 6, 1, 1, 1, 6, 5, 10, 10, 1, 10, 10, 10, 2, 6, 2, 6, 5, 6, 2, 6, 1, 10, 1, 10, 6, 1, 2, 6, 6, 10, 10, 6, 6, 2, 2, 1, 6, 2, 1, 10, 4, 10, 6, 6, 2, 2, 6, 10, 1, 1, 6, 10, 6, 10, 1, 6, 1, 2, 10, 6, 6, 2, 1, 1, 6, 2, 1, 1, 10, 2, 1, 10, 0, 6, 2, 1, 10, 2, 2, 10, 6, 10, 6, 0, 10, 2, 10, 1, 1, 1, 2, 1, 10, 1, 6, 6, 10, 6, 2, 2, 1, 10, 10, 2, 2, 2, 1, 6, 2, 2, 2, 10, 2, 2, 10, 2, 10, 10, 6, 6, 10, 6, 6, 10, 6, 2, 2, 10, 2, 10, 6, 2, 2, 6, 6, 2, 6, 10, 2, 10, 10, 6, 4, 2, 2, 1, 2, 10, 1, 2, 6, 10, 10, 2, 10, 10, 10, 9, 10, 6, 2, 10, 10, 2, 10, 2, 1, 2, 6, 2, 10, 1, 1, 2, 2, 1, 2, 10, 6, 2, 2, 10, 1, 1, 1, 6, 1, 1, 1, 1, 2, 1, 6, 10, 6, 6, 2, 2, 10, 2, 6, 5, 1, 2, 10, 1, 6, 6, 2, 2, 6, 2, 10, 10, 2, 1, 10, 1, 1, 1, 10, 10, 1, 1, 6, 2, 10, 8, 1, 2, 10, 1, 1, 2, 6, 6, 6, 6, 1, 0, 6, 10, 6, 10, 10, 6, 6, 10, 6, 2, 1, 2, 1, 6, 2, 6, 2, 1, 6, 2, 10, 6, 10, 6, 10, 6, 2, 10, 6, 2, 2, 1, 10, 1, 6, 2, 1, 1, 2, 2, 1, 10, 6, 6, 2, 1, 1, 2, 6, 1, 2, 1, 10, 10, 1, 6, 6, 10, 6, 6, 1, 6, 2, 1, 6, 1, 10, 1, 2, 2, 1, 10, 1, 1, 1, 10, 2, 2, 2, 2, 2, 6, 6, 1, 2, 1, 6, 2, 6, 10, 10, 10, 1, 1, 6, 1, 6, 2, 1, 10, 1, 10, 10, 6, 2, 2, 10, 10, 6, 6, 1, 2, 10, 10, 2, 2, 6, 10, 2, 10, 2, 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10, 2, 2, 2, 2, 6, 1, 6, 10, 1, 6, 10, 6, 2, 6, 1, 10, 10, 2, 2, 1, 6, 2, 1, 5, 1, 2, 10, 2, 1, 6, 10, 2, 6, 10, 10, 6, 2, 6, 1, 2, 6, 6, 10, 2, 1, 6, 2, 6, 6, 1, 2, 6, 2, 2, 2, 1, 2, 6, 6, 6, 1, 2, 6, 6, 2, 10, 10, 6, 10, 9, 1, 1, 6, 10, 10, 1, 2, 1, 1, 1, 10, 10, 6, 1, 10, 1, 2, 6, 10, 1, 1, 1, 1, 2, 6, 6, 2, 1, 1, 6, 1, 1, 6, 1, 6, 2, 10, 1, 6, 10, 10, 2, 1, 1, 2, 1, 1, 10, 6, 2, 9, 2, 10, 6, 1, 2, 10, 2, 6, 6, 6, 9, 1, 4, 2, 1, 6, 6, 6, 1, 1, 6, 1, 6, 10, 1, 2, 1, 1, 1, 1, 1, 10, 10, 1, 10, 2, 1, 1, 4, 1, 6, 10, 2, 10, 1, 1, 2, 6, 6, 1, 6, 2, 2, 1, 6, 6, 10, 10, 2, 2, 1, 2, 10, 2, 1, 1, 6, 1, 6, 2, 1, 2, 2, 2, 2, 2, 6, 2, 2, 2, 10, 1, 10, 2, 1, 0, 1, 10, 10, 2, 2, 10, 1, 10, 6, 10, 10, 2, 1, 2, 6, 1, 6, 10, 2, 6, 10, 2, 10, 2, 6, 1, 1, 2, 1, 2, 6, 6, 6, 1, 2, 2, 1, 6, 2, 10, 6, 2, 6, 1, 1, 10, 10, 1, 6, 6, 2, 6, 1, 6, 1, 2, 10, 1, 1, 10, 1, 1, 2, 6, 6, 10, 1, 10, 2, 10, 2, 1, 1, 6, 1, 1, 10, 1, 6, 6, 2, 2, 2, 10, 2, 1, 6, 10, 10, 1, 1, 2, 2, 6, 1, 1, 10, 10, 2, 6, 6, 2, 6, 1, 2, 2, 1, 1, 4, 2, 10, 2, 6, 6, 10, 2, 1, 10, 2, 10, 6, 10, 2, 10, 10, 2, 1, 6, 9, 1, 6, 6, 2, 6, 2, 2, 1, 6, 10, 10, 6, 10, 6, 2, 10, 6, 1, 2, 1, 1, 6, 1, 6, 2, 2, 10, 10, 10, 1, 2, 10, 2, 10, 10, 2, 10, 6, 2, 1, 6, 10, 6, 6, 10, 10, 1, 4, 1, 6, 1, 2, 2, 10, 1, 1, 2, 2, 2, 6, 10, 1, 0, 2, 2, 10, 6, 6, 10, 10, 2, 10, 5, 6, 6, 1, 6, 1, 2, 1, 10, 1, 6, 2, 6, 2, 2, 2, 6, 2, 6, 6, 2, 6, 6, 5, 2, 2, 1, 1, 2, 2, 1, 10, 10, 1, 2, 6, 1, 2, 10, 9, 6, 2, 1, 1, 2, 10, 10, 10, 10, 2, 6, 1, 10, 10, 2, 10, 2, 1, 4, 10, 6, 1, 10, 10, 10, 2, 6, 0, 6, 10, 1, 40, 2, 1, 1, 2, 10, 6, 2, 10, 10, 10, 10, 6, 10, 2, 1, 1, 2, 1, 10, 1, 10, 6, 6, 10, 6, 2, 0, 10, 6, 2, 1, 2, 2, 10, 6, 2, 1, 1, 1, 10, 2, 1, 10, 10, 5, 6, 6, 2, 1, 10, 1, 6, 6, 1, 10, 1, 10, 10, 1, 1, 6, 2, 2, 1, 10, 2, 1, 6, 6, 10, 10, 10, 10, 2, 2, 2, 6, 2, 4, 6, 1, 2, 2, 10, 1, 10, 2, 6, 4, 2, 10, 10, 6, 6, 2, 2, 2, 6, 2, 1, 6, 10, 1, 2, 1, 1, 10, 2, 1, 10, 6, 6, 2, 1, 1, 6, 1, 10, 6, 6, 6, 6, 6, 6, 6, 1, 7, 2, 2, 6, 9, 2, 6, 1, 1, 2, 2, 2, 2, 2, 2, 2, 6, 10, 6, 6, 1, 2, 2, 1, 6, 1, 10, 10, 2, 10, 10, 6, 1, 6, 1, 2, 10, 2, 6, 1, 2, 6, 1, 10, 6, 10, 6, 1, 6, 2, 10, 6, 10, 6, 1, 1, 2, 6, 10, 6, 10, 1, 2, 2, 6, 1, 10, 10, 1, 2, 2, 5, 2, 10, 6, 6, 10, 6, 6, 1, 10, 6, 1, 1, 10, 6, 2, 2, 1, 2, 4, 10, 1, 1, 2, 6, 2, 2, 2, 10, 10, 2, 2, 2, 1, 1, 1, 1, 2, 6, 1, 0, 6, 1, 10, 10, 10, 2, 1, 1, 1, 9, 10, 2, 10, 10, 2, 1, 6, 6, 10, 2, 2, 1, 6, 1, 1, 1, 6, 1, 10, 10, 6, 10, 1, 6, 10, 6, 2, 1, 6, 6, 6, 6, 1, 10, 1, 10, 6, 6, 10, 1, 1, 6, 2, 2, 2, 2, 2, 6, 10, 2, 6, 2, 10, 10, 10, 10, 10, 1, 2, 6, 6, 6, 2, 2, 10, 1, 5, 6, 1, 1, 1, 3, 2, 2, 6, 5, 1, 1, 2, 2, 6, 1, 2, 1, 1, 1, 6, 1, 2, 1, 1, 2, 6, 6, 6, 6, 10, 6, 6, 1, 10, 2, 1, 1, 2, 1, 2, 2, 6, 1, 2, 6, 1, 6, 6, 4, 2, 2, 6, 6, 6, 2, 10, 0, 10, 1, 10, 10, 0, 6, 2, 2, 2, 2, 1, 2, 10, 2, 2, 1, 2, 1, 10, 0, 1, 1, 1, 10, 2, 1, 1, 2, 10, 2, 10, 10, 1, 10, 6, 10, 1, 2, 1, 10, 10, 0, 1, 10, 2, 1, 6, 6, 1, 6, 2, 1, 6, 10, 2, 6, 1, 2, 6, 10, 1, 1, 1, 5, 10, 10, 2, 6, 1, 6, 6, 2, 6, 6, 10, 2, 2, 1, 10, 10, 10, 2, 6, 2, 2, 1, 1, 2, 6, 10, 6, 2, 10, 1, 2, 6, 1, 10, 10, 2, 10, 2, 1, 6, 6, 5, 2, 10, 6, 10, 1, 2, 1, 10, 1, 10, 1, 2, 0, 2, 10, 2, 2, 1, 1, 1, 1, 6, 10, 6, 1, 1, 6, 6, 1, 10, 10, 10, 10, 6, 1, 1, 6, 10, 2, 10, 2, 1, 6, 1, 2, 6, 2, 10, 1, 2, 6, 2, 1, 1, 6, 2, 5, 1, 1, 6, 6, 1, 1, 6, 10, 10, 1, 1, 6, 6, 6, 2, 2, 2, 10, 1, 10, 9, 2, 6, 6, 1, 1, 2, 1, 10, 6, 1, 10, 1, 6, 2, 10, 2, 9, 10, 1, 10, 1, 10, 10, 2, 2, 6, 6, 10, 2, 40, 2, 1, 6, 1, 0, 2, 10, 6, 6, 2, 2, 1, 6, 1, 1, 2, 6, 1, 2, 2, 1, 1, 4, 10, 6, 1, 5, 10, 1, 1, 1, 1, 1, 5, 2, 6, 6, 6, 1, 6, 1, 2, 1, 1, 6, 6, 10, 1, 1, 2, 6, 6, 2, 10, 10, 10, 1, 6, 10, 4, 10, 10, 2, 10, 6, 2, 1, 1, 6, 1, 10, 10, 6, 1, 6, 6, 1, 6, 2, 4, 10, 10, 10, 6, 10, 2, 2, 1, 1, 10, 2, 10, 6, 2, 1, 1, 6, 6, 2, 1, 6, 1, 2, 6, 2, 1, 10, 10, 10, 6, 10, 2, 10, 2, 1, 10, 10, 1, 10, 2, 1, 2, 10, 10, 2, 2, 6, 10, 2, 2, 2, 2, 1, 2, 1, 10, 6, 2, 10, 10, 6, 1, 2, 2, 10, 10, 1, 1, 0, 2, 2, 6, 6, 1, 2, 2, 0, 2, 10, 6, 1, 6, 10, 6, 1, 10, 10, 6, 2, 2, 6, 2, 1, 5, 2, 0, 6, 1, 1, 1, 1, 2, 10, 1, 10, 1, 2, 2, 10, 6, 2, 6, 1, 6, 1, 1, 2, 10, 1, 6, 2, 1, 2, 6, 10, 1, 1, 1, 1, 6, 10, 6, 6, 10, 6, 1, 1, 1, 40, 6, 10, 1, 10, 1, 10, 2, 6, 2, 0, 1, 1, 10, 6, 6, 1, 2, 10, 10, 1, 10, 2, 10, 2, 6, 1, 6, 6, 2, 10, 9, 5, 1, 10, 1, 6, 2, 2, 1, 4, 1, 2, 1, 2, 1, 6, 2, 6, 5, 2, 10, 1, 2, 1, 2, 4, 10, 10, 2, 1, 10, 1, 1, 1, 1, 10, 6, 1, 6, 2, 2, 10, 6, 2, 10, 10, 1, 6, 2, 10, 10, 6, 1, 1, 10, 2, 6, 1, 1, 6, 6, 2, 1, 10, 1, 6, 2, 6, 2, 6, 10, 10, 1, 6, 2, 6, 2, 1, 10, 10, 1, 6, 10, 1, 6, 9, 6, 10, 2, 1, 10, 10, 2, 6, 2, 2, 1, 1, 6, 2, 6, 1, 1, 5, 1, 10, 10, 6, 6, 10, 1, 2, 1, 5, 6, 1, 1, 2, 1, 1, 2, 1, 9, 10, 5, 2, 1, 6, 2, 10, 0, 1, 10, 10, 6, 2, 6, 10, 4, 1, 10, 1, 2, 1, 6, 1, 2, 6, 10, 2, 1, 10, 6, 2, 1, 1, 10, 6, 4, 10, 6, 10, 6, 2, 2, 1, 1, 6, 6, 1, 2, 2, 6, 2, 1, 2, 1, 2, 10, 2, 1, 5, 2, 1, 2, 2, 10, 1, 10, 6, 10, 1, 2, 9, 1, 2, 2, 2, 6, 10, 10, 6, 1, 10, 10, 2, 2, 1, 1, 6, 2, 1, 6, 5, 5, 2, 6, 1, 10, 10, 6, 6, 1, 10, 1, 6, 2, 1, 6, 2, 10, 6, 10, 2, 1, 6, 2, 1, 1, 6, 6, 6, 6, 1, 10, 10, 6, 10, 1, 6, 2, 1, 10, 6, 6, 2, 6, 1, 10, 2, 1, 2, 10, 6, 10, 10, 6, 1, 6, 10, 2, 2, 2, 2, 2, 6, 6, 4, 1, 10, 9, 1, 10, 1, 1, 6, 6, 1, 6, 1, 2, 6, 1, 1, 1, 2, 2, 6, 10, 6, 5, 2, 10, 2, 6, 10, 2, 2, 2, 2, 2, 1, 6, 10, 0, 2, 2, 6, 1, 6, 2, 10, 10, 2, 1, 10, 1, 1, 2, 1, 2, 6, 6, 6, 6, 10, 1, 10, 2, 5, 10, 2, 2, 1, 4, 10, 1, 2, 0, 10, 10, 10, 10, 10, 10, 2, 1, 1, 2, 1, 1, 1, 4, 6, 6, 10, 2, 6, 0, 1, 10, 1, 1, 6, 10, 9, 1, 1, 1, 10, 2, 6, 2, 2, 10, 6, 1, 2, 6, 10, 10, 10, 6, 1, 1, 10, 1, 2, 1, 1, 6, 10, 10, 1, 2, 10, 2, 2, 10, 1, 10, 10, 10, 2, 2, 2, 0, 2, 10, 2, 10, 2, 1, 10, 1, 1, 10, 1, 2, 10, 1, 1, 1, 10, 1, 10, 2, 1, 1, 10, 6, 1, 10, 2, 6, 10, 2, 10, 10, 1, 6, 10, 10, 2, 1, 6, 10, 10, 10, 10, 2, 1, 10, 1, 10, 6, 6, 10, 2, 10, 1, 1, 10, 10, 10, 1, 6, 1, 1, 10, 1, 6, 1, 10, 0, 10, 2, 10, 2, 6, 10, 10, 6, 2, 4, 1, 10, 10, 2, 2, 1, 2, 2, 4, 6, 1, 6, 2, 1, 2, 6, 1, 1, 2, 2, 10, 2, 6, 6, 6, 6, 1, 6, 10, 6, 6, 1, 6, 1, 6, 10, 10, 2, 1, 1, 6, 1, 2, 1, 0, 6, 6, 1, 6, 1, 6, 2, 1, 2, 10, 6, 10, 10, 1, 10, 1, 2, 2, 1, 6, 2, 2, 6, 6, 10, 0, 2, 6, 1, 6, 1, 2, 1, 2, 1, 6, 2, 10, 10, 10, 1, 10, 2, 10, 10, 2, 6, 1, 1, 1, 6, 10, 1, 10, 10, 1, 10, 10, 6, 6, 10, 2, 2, 10, 2, 1, 2, 1, 2, 2, 10, 2, 10, 1, 2, 2, 1, 1, 10, 2, 1, 10, 1, 2, 6, 2, 2, 6, 1, 2, 2, 6, 6, 1, 10, 10, 2, 1, 1, 10, 2, 1, 1, 6, 10, 10, 6, 6, 2, 2, 10, 10, 6, 10, 2, 1, 4, 1, 2, 6, 10, 2, 10, 2, 2, 2, 2, 10, 2, 2, 10, 10, 2, 2, 10, 6, 6, 2, 10, 4, 4, 10, 6, 2, 1, 6, 10, 6, 2, 1, 1, 10, 1, 1, 6, 1, 2, 6, 10, 2, 10, 10, 2, 6, 6, 6, 2, 1, 1, 6, 6, 6, 2, 10, 10, 1, 2, 2, 10, 2, 2, 1, 10, 6, 60, 10, 1, 2, 6, 2, 2, 1, 1, 6, 10, 1, 6, 6, 2, 4, 1, 6, 0, 2, 1, 1, 10, 2, 6, 6, 6, 6, 1, 2, 10, 10, 2, 10, 10, 1, 1, 1, 2, 2, 10, 6, 6, 1, 2, 2, 2, 10, 10, 10, 6, 10, 6, 10, 2, 6, 10, 6, 2, 2, 6, 1, 6, 6, 2, 1, 2, 4, 10, 6, 6, 2, 10, 10, 1, 6, 10, 1, 6, 2, 10, 10, 2, 1, 10, 1, 10, 2, 2, 6, 6, 1, 1, 1, 2, 10, 10, 10, 2, 10, 10, 2, 2, 10, 6, 10, 6, 2, 6, 10, 1, 10, 10, 10, 10, 10, 2, 1, 2, 1, 6, 10, 10, 6, 6, 1, 10, 6, 1, 6, 6, 6, 2, 1, 1, 6, 1, 6, 6, 9, 10, 1, 6, 1, 10, 1, 6, 2, 10, 10, 1, 1, 2, 1, 10, 2, 10, 10, 10, 1, 6, 2, 6, 2, 10, 6, 1, 6, 10, 6, 6, 1, 6, 4, 10, 6, 1, 2, 10, 6, 1, 2, 6, 1, 6, 1, 6, 1, 10, 4, 10, 2, 2, 5, 1, 10, 4, 6, 1, 6, 2, 10, 2, 1, 6, 10, 1, 10, 1, 10, 10, 1, 10, 10, 6, 1, 6, 10, 1, 1, 6, 2, 1, 2, 1, 10, 10, 6, 10, 0, 6, 2, 10, 6, 10, 1, 1, 1, 2, 1, 2, 6, 2, 6, 1, 10, 1, 10, 2, 6, 10, 2, 1, 10, 1, 6, 9, 10, 6, 6, 10, 10, 6, 10, 10, 10, 2, 2, 6, 1, 1, 10, 2, 10, 2, 2, 10, 10, 6, 10, 10, 6, 2, 1, 10, 6, 2, 6, 2, 5, 2, 1, 1, 1, 6, 2, 2, 9, 2, 6, 10, 6, 6, 2, 1, 2, 2, 6, 6, 2, 1, 2, 6, 10, 6, 2, 6, 1, 2, 10, 1, 6, 6, 6, 6, 2, 2, 2, 6, 1, 2, 2, 2, 6, 10, 2, 4, 4, 1, 1, 10, 10, 6, 1, 2, 1, 1, 10, 1, 6, 2, 10, 10, 10, 2, 2, 6, 10, 1, 2, 10, 6, 6, 1, 6, 10, 10, 6, 2, 10, 1, 6, 6, 1, 2, 2, 10, 2, 2, 10, 6, 6, 2, 6, 10, 2, 1, 10, 6, 2, 6, 10, 1, 2, 2, 2, 6, 1, 2, 2, 10, 2, 6, 10, 10, 6, 1, 10, 1, 10, 2, 1, 1, 2, 10, 2, 10, 6, 10, 6, 10, 2, 6, 10, 1, 6, 6, 1, 10, 2, 10, 2, 1, 2, 6, 10, 6, 10, 1, 2, 2, 6, 6, 10, 6, 6, 2, 6, 6, 5, 6, 2, 6, 6, 1, 9, 2, 2, 1, 1, 10, 6, 1, 10, 2, 6, 6, 10, 2, 1, 2, 8, 1, 1, 2, 1, 6, 6, 2, 4, 6, 10, 6, 1, 1, 6, 6, 1, 2, 1, 1, 2, 1, 10, 2, 1, 2, 2, 2, 6, 1, 1, 1, 10, 6, 2, 2, 10, 2, 2, 2, 10, 10, 6, 10, 2, 1, 6, 10, 1, 6, 10, 6, 1, 10, 2, 1, 10, 1, 1, 10, 2, 6, 5, 1, 2, 1, 10, 6, 2, 6, 2, 1, 1, 9, 40, 10, 6, 10, 2, 6, 6, 5, 2, 10, 10, 2, 2, 10, 2, 2, 1, 6, 2, 2, 6, 9, 6, 2, 2, 2, 6, 2, 6, 10, 9, 6, 2, 6, 6, 2, 1, 1, 1, 2, 1, 6, 2, 1, 10, 10, 10, 4, 1, 10, 1, 2, 6, 1, 1, 10, 6, 2, 1, 6, 2, 6, 10, 6, 10, 1, 1, 1, 1, 2, 1, 2, 10, 10, 6, 10, 10, 2, 1, 10, 6, 10, 6, 10, 2, 6, 1, 1, 6, 2, 6, 10, 6, 10, 1, 10, 6, 2, 1, 1, 1, 10, 10, 2, 1, 10, 6, 2, 6, 6, 1, 1, 1, 1, 2, 1, 6, 2, 6, 2, 10, 10, 6, 1, 10, 2, 6, 1, 6, 2, 2, 2, 10, 2, 2, 2, 1, 6, 6, 10, 6, 10, 9, 6, 6, 6, 1, 10, 6, 10, 2, 5, 1, 10, 1, 1, 1, 2, 6, 10, 2, 6, 6, 10, 6, 2, 1, 1, 6, 2, 1, 2, 1, 6, 1, 2, 10, 2, 10, 5, 10, 10, 10, 1, 1, 10, 6, 2, 10, 10, 10, 6, 1, 10, 10, 6, 6, 10, 2, 6, 2, 2, 1, 1, 2, 1, 10, 2, 9, 2, 10, 2, 6, 10, 6, 2, 1, 6, 6, 2, 10, 6, 6, 2, 2, 1, 2, 1, 6, 5, 10, 2, 2, 10, 6, 6, 1, 1, 10, 2, 10, 1, 2, 1, 10, 10, 6, 1, 10, 2, 5, 6, 1, 6, 2, 1, 2, 2, 10, 6, 2, 2, 10, 1, 10, 2, 6, 10, 2, 2, 2, 10, 2, 1, 6, 10, 1, 1, 2, 10, 6, 2, 6, 6, 6, 6, 5, 6, 1, 2, 1, 2, 6, 10, 6, 6, 10, 6, 6, 10, 2, 6, 10, 10, 1, 6, 6, 10, 10, 10, 10, 6, 1, 6, 10, 1, 2, 2, 2, 1, 10, 10, 2, 6, 1, 0, 2, 2, 9, 6, 6, 10, 10, 2, 2, 10, 6, 2, 2, 2, 0, 1, 2, 6, 2, 10, 1, 2, 1, 1, 2, 1, 1, 1, 1, 6, 10, 1, 10, 2, 2, 1, 2, 1, 2, 2, 1, 2, 6, 1, 4, 2, 10, 2, 10, 2, 10, 1, 2, 6, 10, 2, 2, 2, 10, 1, 6, 6, 2, 2, 2, 10, 6, 1, 2, 6, 10, 1, 6, 2, 9, 2, 10, 1, 10, 1, 1, 10, 2, 6, 6, 0, 6, 10, 6, 6, 6, 10, 6, 6, 6, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 10, 10, 6, 6, 10, 2, 2, 2, 1, 10, 2, 10, 6, 2, 10, 1, 10, 6, 2, 10, 2, 6, 2, 1, 10, 2, 1, 10, 6, 1, 2, 2, 6, 1, 10, 1, 6, 2, 1, 1, 10, 10, 10, 2, 6, 1, 6, 6, 2, 6, 2, 0, 1, 10, 2, 2, 10, 2, 1, 2, 10, 1, 10, 2, 2, 2, 2, 1, 1, 6, 1, 10, 10, 10, 6, 10, 1, 6, 1, 2, 10, 1, 10, 1, 6, 10, 1, 1, 1, 2, 10, 6, 2, 10, 1, 2, 6, 1, 10, 10, 1, 10, 1, 1, 2, 1, 2, 1, 6, 2, 10, 10, 10, 1, 6, 2, 10, 10, 2, 4, 10, 1, 10, 1, 6, 1, 10, 6, 2, 2, 6, 10, 1, 6, 10, 6, 2, 6, 2, 2, 1, 1, 1, 10, 10, 10, 10, 2, 10, 1, 2, 10, 6, 10, 10, 1, 6, 10, 2, 10, 2, 2, 2, 2, 0, 2, 10, 6, 1, 2, 10, 2, 1, 10, 6, 1, 6, 2, 2, 6, 1, 6, 6, 2, 6, 2, 6, 6, 6, 2, 4, 10, 0, 2, 1, 2, 1, 1, 2, 1, 10, 1, 1, 2, 1, 1, 1, 6, 1, 2, 1, 6, 2, 6, 6, 2, 2, 6, 0, 10, 10, 1, 10, 1, 2, 1, 6, 6, 6, 6, 1, 1, 2, 2, 2, 1, 1, 2, 1, 10, 10, 10, 5, 6, 10, 6, 1, 10, 10, 6, 10, 2, 2, 1, 10, 6, 50, 2, 2, 10, 6, 6, 2, 1, 6, 10, 2, 6, 2, 10, 10, 10, 1, 6, 1, 6, 10, 0, 1, 6, 6, 10, 6, 2, 6, 6, 10, 6, 6, 10, 2, 2, 10, 2, 1, 1, 10, 2, 2, 6, 1, 6, 10, 10, 6, 1, 6, 2, 6, 10, 1, 1, 1, 2, 6, 1, 5, 1, 10, 1, 6, 2, 10, 6, 6, 10, 10, 6, 6, 6, 1, 10, 2, 6, 10, 1, 10, 1, 1, 1, 2, 10, 10, 2, 1, 6, 6, 6, 1, 6, 6, 1, 6, 2, 6, 1, 6, 1, 1, 6, 6, 1, 2, 2, 6, 10, 9, 9, 0, 6, 6, 10, 1, 1, 10, 2, 2, 6, 2, 2, 1, 10, 10, 10, 1, 10, 6, 10, 2, 1, 1, 6, 10, 9, 3, 2, 10, 6, 4, 2, 10, 2, 10, 0, 2, 2, 10, 10, 1, 1, 6, 1, 10, 1, 1, 6, 10, 1, 6, 10, 10, 9, 6, 10, 10, 1, 10, 10, 5, 1, 1, 10, 6, 1, 10, 3, 1, 2, 2, 10, 2, 2, 6, 10, 5, 10, 6, 1, 2, 2, 2, 1, 10, 1, 2, 2, 10, 1, 6, 9, 6, 6, 10, 2, 6, 10, 10, 9, 10, 10, 9, 6, 6, 6, 10, 10, 10, 2, 10, 6, 1, 10, 10, 6, 10, 2, 1, 3, 2, 10, 2, 1, 2, 1, 1, 2, 10, 10, 2, 10, 1, 10, 6, 12, 2, 2, 10, 10, 10, 10, 2, 6, 6, 2, 2, 2, 10, 2, 1, 1, 6, 1, 6, 10, 2, 1, 1, 6, 10, 6, 1, 2, 2, 10, 2, 2, 10, 6, 2, 6, 10, 1, 6, 6, 1, 6, 1, 10, 10, 2, 6, 10, 1, 2, 1, 10, 2, 10, 2, 2, 10, 10, 2, 1, 2, 10, 6, 1, 2, 10, 10, 6, 2, 6, 10, 2, 2, 10, 6, 10, 2, 10, 1, 10, 6, 2, 2, 6, 1, 5, 2, 2, 2, 1, 2, 2, 10, 10, 10, 10, 10, 6, 6, 6, 2, 10, 2, 6, 1, 1, 1, 10, 6, 6, 2, 1, 1, 2, 2, 2, 2, 10, 1, 10, 10, 6, 1, 1, 1, 9, 2, 6, 1, 1, 2, 1, 10, 6, 1, 1, 10, 1, 6, 2, 6, 1, 1, 1, 1, 2, 10, 2, 1, 2, 1, 1, 1, 1, 1, 2, 6, 1, 6, 2, 0, 1, 6, 1, 2, 0, 9, 10, 10, 2, 5, 1, 10, 10, 1, 2, 10, 10, 10, 10, 2, 4, 2, 10, 6, 6, 6, 5, 6, 2, 2, 1, 10, 6, 1, 10, 6, 5, 1, 4, 6, 1, 1, 1, 2, 6, 1, 2, 10, 2, 6, 6, 2, 2, 2, 1, 10, 2, 6, 2, 1, 1, 10, 6, 1, 6, 2, 1, 1, 10, 6, 4, 6, 2, 1, 1, 2, 10, 10, 6, 6, 6, 10, 2, 2, 10, 10, 0, 10, 1, 1, 6, 6, 10, 1, 6, 1, 10, 10, 2, 10, 10, 6, 6, 10, 6, 1, 0, 2, 6, 2, 2, 6, 6, 1, 6, 10, 1, 2, 1, 2, 2, 6, 1, 6, 10, 10, 10, 2, 6, 1, 1, 2, 2, 2, 1, 10, 6, 2, 2, 2, 2, 1, 10, 10, 2, 2, 6, 6, 6, 10, 5, 1, 6, 10, 10, 10, 2, 1, 10, 10, 2, 6, 1, 1, 1, 2, 10, 2, 1, 2, 6, 2, 2, 1, 6, 2, 6, 2, 1, 10, 10, 1, 9, 6, 2, 6, 6, 2, 6, 1, 6, 6, 2, 6, 1, 10, 10, 10, 2, 2, 10, 10, 1, 10, 9, 10, 10, 1, 1, 6, 10, 2, 0, 10, 2, 1, 6, 1, 10, 10, 10, 1, 1, 1, 6, 2, 1, 2, 6, 2, 10, 6, 1, 2, 1, 6, 10, 6, 1, 2, 10, 6, 2, 2, 2, 2, 6, 2, 10, 1, 10, 2, 6, 6, 6, 10, 2, 10, 1, 6, 2, 6, 2, 10, 10, 6, 2, 10, 6, 2, 2, 10, 10, 10, 10, 10, 6, 10, 6, 6, 1, 1, 10, 10, 1, 10, 6, 1, 1, 1, 10, 2, 10, 6, 6, 10, 2, 1, 1, 2, 4, 1, 10, 10, 10, 10, 1, 6, 6, 6, 1, 6, 2, 10, 10, 2, 6, 10, 10, 1, 10, 1, 1, 2, 6, 10, 2, 1, 6, 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10, 2, 10, 2, 1, 1, 10, 4, 10, 6, 10, 6, 10, 6, 10, 6, 10, 10, 2, 10, 6, 2, 10, 1, 1, 6, 6, 10, 6, 10, 6, 10, 2, 10, 1, 6, 6, 6, 6, 1, 6, 1, 1, 2, 6, 2, 10, 9, 10, 10, 2, 10, 1, 1, 2, 1, 6, 6, 6, 2, 1, 6, 2, 6, 1, 2, 2, 2, 6, 1, 6, 2, 1, 1, 2, 1, 2, 1, 1, 6, 4, 4, 6, 6, 6, 2, 2, 6, 6, 2, 2, 10, 2, 10, 10, 6, 6, 2, 10, 2, 2, 1, 1, 1, 2, 2, 6, 2, 6, 1, 0, 10, 2, 10, 1, 1, 6, 6, 2, 10, 2, 1, 10, 1, 6, 10, 10, 6, 10, 6, 10, 1, 10, 2, 1, 5, 10, 10, 6, 10, 10, 1, 0, 1, 1, 10, 1, 6, 6, 2, 10, 10, 10, 6, 10, 1, 2, 6, 2, 2, 10, 10, 10, 1, 6, 2, 1, 1, 1, 2, 6, 2, 2, 10, 6, 1, 6, 2, 10, 10, 2, 6, 2, 10, 1, 1, 9, 1, 2, 1, 10, 2, 1, 2, 6, 2, 1, 1, 6, 10, 6, 1, 2, 1, 2, 1, 10, 10, 10, 2, 10, 10, 2, 2, 10, 10, 10, 10, 2, 2, 6, 2, 1, 1, 2, 1, 2, 6, 10, 6, 2, 1, 6, 2, 10, 6, 6, 2, 9, 2, 2, 1, 1, 2, 1, 2, 1, 6, 10, 1, 2, 1, 1, 2, 1, 10, 1, 6, 10, 2, 6, 0, 6, 10, 10, 6, 10, 6, 6, 6, 2, 10, 6, 2, 6, 2, 1, 6, 6, 10, 6, 1, 5, 2, 6, 10, 2, 2, 2, 10, 6, 1, 2, 2, 10, 2, 10, 6, 6, 10, 10, 1, 10, 6, 6, 1, 1, 1, 2, 6, 2, 6, 6, 10, 2, 6, 1, 1, 6, 10, 2, 1, 10, 1, 6, 2, 2, 2, 2, 2, 6, 2, 1, 2, 2, 2, 1, 6, 1, 1, 6, 1, 10, 1, 6, 6, 2, 6, 2, 6, 6, 1, 1, 1, 2, 2, 6, 5, 1, 10, 1, 1, 6, 1, 10, 1, 6, 6, 6, 10, 6, 10, 10, 10, 1, 3, 10, 1, 6, 1, 2, 2, 6, 6, 10, 1, 1, 2, 6, 2, 9, 2, 10, 10, 1, 2, 10, 10, 10, 1, 10, 2, 6, 1, 1, 10, 1, 1, 2, 6, 10, 2, 2, 2, 2, 6, 10, 2, 1, 10, 10, 4, 2, 2, 2, 10, 6, 1, 5, 2, 10, 2, 1, 10, 6, 6, 2, 10, 10, 1, 6, 1, 10, 1, 6, 6, 6, 9, 2, 1, 10, 6, 2, 6, 6, 2, 1, 6, 1, 5, 4, 1, 10, 6, 10, 6, 10, 1, 6, 2, 1, 6, 6, 2, 1, 10, 1, 6, 1, 1, 2, 6, 1, 2, 1, 2, 6, 10, 6, 2, 2, 6, 2, 10, 6, 10, 1, 2, 10, 2, 6, 6, 4, 2, 6, 2, 2, 10, 2, 1, 9, 9, 10, 1, 10, 6, 1, 2, 6, 1, 6, 1, 10, 2, 1, 9, 1, 6, 10, 10, 2, 6, 1, 10, 1, 1, 6, 1, 1, 6, 2, 1, 10, 6, 1, 1, 1, 10, 10, 1, 2, 1, 10, 6, 10, 2, 6, 10, 6, 1, 1, 1, 1, 2, 10, 2, 10, 2, 10, 10, 2, 1, 1, 6, 6, 6, 2, 6, 2, 2, 2, 1, 6, 6, 9, 10, 6, 2, 2, 2, 10, 6, 2, 10, 1, 6, 10, 6, 6, 2, 6, 6, 6, 6, 1, 6, 2, 10, 10, 1, 2, 6, 2, 1, 2, 1, 10, 2, 2, 10, 10, 10, 10, 6, 6, 6, 6, 10, 40, 2, 10, 1, 6, 2, 2, 1, 2, 6, 1, 10, 2, 1, 6, 2, 10, 7, 10, 1, 10, 1, 10, 6, 2, 1, 6, 10, 1, 1, 2, 2, 2, 6, 10, 10, 10, 10, 1, 6, 10, 10, 1, 10, 2, 2, 1, 2, 1, 6, 1, 6, 10, 9, 2, 1, 6, 2, 10, 2, 1, 10, 1, 10, 2, 6, 10, 2, 10, 2, 1, 6, 2, 1, 10, 10, 10, 10, 6, 1, 2, 2, 10, 1, 4, 1, 2, 2, 2, 1, 2, 10, 2, 6, 6, 2, 1, 2, 1, 2, 6, 6, 10, 2, 10, 10, 10, 1, 1, 2, 2, 10, 1, 2, 1, 6, 2, 2, 6, 2, 10, 4, 6, 6, 1, 10, 10, 10, 6, 6, 9, 1, 2, 10, 2, 1, 1, 6, 10, 40, 6, 10, 1, 1, 10, 2, 0, 10, 1, 2, 2, 6, 10, 6, 6, 6, 2, 2, 6, 2, 6, 10, 1, 6, 1, 1, 10, 2, 1, 6, 10, 1, 10, 1, 1, 1, 10, 2, 1, 2, 6, 1, 10, 10, 10, 6, 2, 10, 10, 3, 1, 10, 6, 2, 6, 10, 1, 1, 10, 1, 1, 10, 10, 2, 2, 1, 10, 10, 10, 1, 10, 6, 10, 2, 10, 1, 6, 6, 2, 10, 10, 2, 6, 10, 2, 6, 1, 10, 2, 6, 1, 10, 10, 6, 6, 2, 6, 6, 10, 1, 6, 6, 1, 10, 2, 10, 10, 6, 10, 10, 1, 2, 1, 1, 10, 10, 10, 1, 2, 10, 2, 2, 6, 1, 10, 10, 10, 6, 6, 10, 2, 2, 6, 1, 2, 2, 5, 1, 10, 2, 1, 10, 2, 2, 2, 10, 6, 10, 6, 6, 1, 6, 6, 1, 1, 6, 10, 6, 10, 2, 6, 1, 1, 10, 10, 10, 2, 1, 6, 10, 10, 10, 2, 1, 10, 1, 1, 1, 2, 10, 2, 6, 2, 5, 6, 1, 6, 10, 10, 2, 2, 6, 10, 10, 6, 1, 10, 1, 2, 2, 0, 6, 1, 2, 10, 1, 10, 1, 10, 2, 1, 2, 2, 10, 10, 10, 40, 1, 10, 2, 10, 2, 10, 10, 5, 10, 6, 10, 2, 10, 6, 10, 2, 6, 10, 1, 2, 6, 6, 10, 1, 6, 10, 6, 2, 6, 6, 10, 1, 10, 1, 2, 1, 2, 2, 6, 2, 1, 6, 10, 2, 6, 1, 10, 2, 1, 6, 10, 10, 10, 10, 1, 6, 1, 10, 1, 6, 10, 1, 10, 2, 10, 6, 1, 1, 1, 2, 10, 6, 1, 6, 6, 6, 6, 1, 6, 2, 1, 10, 1, 1, 10, 10, 2, 6, 10, 9, 2, 10, 2, 6, 1, 6, 10, 10, 1, 2, 2, 10, 10, 2, 10, 6, 2, 2, 6, 10, 6, 1, 6, 6, 10, 2, 1, 10, 6, 1, 2, 10, 6, 10, 0, 6, 6, 10, 1, 1, 1, 1, 10, 1, 2, 10, 5, 2, 2, 10, 2, 2, 10, 6, 6, 1, 10, 10, 1, 1, 0, 10, 2, 2, 10, 1, 10, 2, 2, 2, 2, 10, 1, 2, 6, 2, 6, 10, 1, 1, 2, 1, 10, 10, 6, 6, 10, 1, 6, 6, 6, 2, 2, 6, 2, 6, 10, 10, 6, 10, 10, 2, 2, 2, 6, 2, 10, 1, 4, 2, 10, 6, 2, 1, 10, 6, 2, 6, 10, 1, 1, 6, 10, 6, 10, 2, 10, 10, 6, 10, 2, 10, 2, 10, 1, 10, 6, 1, 2, 2, 10, 10, 10, 2, 10, 2, 6, 1, 10, 2, 6, 2, 2, 2, 10, 10, 10, 6, 1, 1, 2, 5, 6, 6, 6, 2, 4, 10, 6, 2, 6, 6, 6, 10, 1, 1, 10, 2, 2, 6, 2, 1, 1, 2, 6, 6, 10, 1, 1, 2, 1, 1, 1, 1, 6, 6, 10, 2, 1, 1, 10, 10, 2, 1, 6, 2, 1, 10, 10, 10, 10, 6, 6, 2, 10, 6, 2, 4, 10, 10, 10, 6, 10, 2, 2, 2, 2, 6, 6, 6, 1, 6, 2, 2, 10, 1, 1, 2, 6, 10, 1, 2, 1, 6, 10, 2, 10, 10, 1, 6, 2, 1, 6, 10, 6, 10, 2, 10, 2, 10, 6, 10, 1, 1, 10, 10, 2, 6, 2, 6, 6, 1, 10, 2, 5, 2, 10, 2, 1, 10, 6, 10, 2, 10, 10, 10, 10, 2, 1, 1, 10, 6, 10, 2, 6, 10, 6, 1, 2, 1, 10, 6, 10, 2, 9, 10, 2, 6, 10, 10, 2, 2, 2, 10, 10, 2, 1, 2, 2, 2, 2, 6, 2, 6, 0, 6, 6, 10, 6, 10, 2, 2, 1, 2, 2, 1, 10, 2, 1, 2, 10, 0, 1, 2, 1, 6, 6, 10, 10, 1, 6, 10, 6, 2, 10, 10, 2, 6, 4, 9, 1, 2, 2, 6, 1, 1, 10, 2, 2, 1, 5, 6, 6, 1, 2, 10, 2, 6, 1, 10, 1, 10, 1, 6, 1, 2, 10, 1, 1, 6, 6, 0, 6, 10, 10, 2, 1, 6, 1, 10, 6, 1, 10, 10, 2, 1, 2, 2, 10, 10, 4, 1, 2, 2, 2, 10, 2, 6, 0, 1, 10, 2, 6, 2, 10, 2, 6, 1, 6, 6, 1, 0, 2, 1, 1, 2, 6, 2, 2, 6, 1, 10, 2, 2, 10, 1, 2, 6, 2, 6, 4, 0, 1, 6, 6, 2, 2, 2, 2, 10, 1, 2, 10, 10, 1, 10, 2, 1, 1, 1, 2, 2, 2, 10, 2, 6, 10, 2, 1, 2, 6, 6, 10, 2, 6, 6, 10, 2, 6, 2, 2, 6, 2, 1, 6, 10, 1, 6, 10, 2, 2, 6, 6, 10, 1, 1, 1, 10, 10, 6, 10, 2, 10, 2, 6, 6, 10, 10, 10, 10, 6, 6, 2, 10, 6, 1, 6, 6, 10, 2, 6, 1, 2, 1, 10, 10, 6, 2, 2, 1, 2, 1, 6, 2, 2, 1, 1, 6, 2, 6, 6, 10, 10, 2, 6, 6, 10, 2, 6, 1, 1, 4, 1, 2, 10, 1, 1, 6, 2, 10, 10, 1, 10, 6, 2, 5, 6, 2, 10, 1, 1, 10, 1, 1, 1, 2, 1, 2, 10, 9, 10, 6, 1, 6, 6, 2, 2, 1, 1, 10, 10, 10, 2, 2, 5, 1, 6, 1, 6, 10, 10, 2, 6, 2, 2, 1, 6, 6, 6, 1, 2, 2, 10, 1, 10, 2, 6, 10, 10, 6, 6, 2, 10, 2, 6, 10, 2, 1, 6, 2, 10, 10, 10, 10, 6, 6, 1, 6, 10, 10, 2, 6, 2, 6, 2, 1, 1, 10, 10, 1, 2, 1, 2, 10, 10, 1, 1, 4, 1, 6, 2, 1, 2, 6, 2, 1, 10, 2, 10, 6, 2, 10, 6, 1, 2, 2, 1, 10, 1, 9, 10, 1, 6, 6, 10, 2, 10, 10, 6, 1, 1, 6, 0, 10, 10, 2, 1, 6, 0, 2, 10, 0, 10, 2, 6, 10, 1, 2, 10, 10, 6, 10, 1, 1, 6, 1, 6, 1, 6, 6, 10, 6, 2, 5, 1, 6, 6, 1, 1, 1, 1, 2, 6, 1, 1, 6, 10, 10, 10, 6, 1, 10, 10, 1, 10, 1, 1, 1, 2, 2, 4, 1, 10, 1, 10, 1, 2, 10, 6, 10, 1, 10, 2, 10, 10, 2, 10, 6, 6, 2, 2, 2, 2, 10, 10, 2, 1, 2, 10, 1, 2, 6, 10, 6, 2, 6, 2, 2, 10, 1, 2, 6, 1, 6, 6, 1, 6, 1, 2, 10, 6, 10, 10, 6, 6, 2, 9, 2, 10, 2, 10, 1, 6, 10, 1, 10, 5, 2, 1, 1, 1, 10, 10, 2, 2, 2, 1, 1, 2, 2, 6, 2, 2, 10, 1, 2, 6, 6, 2, 10, 6, 2, 2, 1, 1, 10, 1, 1, 2, 1, 1, 1, 1, 6, 2, 6, 6, 2, 2, 6, 1, 1, 2, 1, 1, 6, 10, 2, 1, 6, 2, 2, 2, 1, 2, 2, 10, 2, 10, 10, 6, 1, 2, 10, 9, 6, 10, 2, 1, 10, 1, 1, 6, 2, 10, 10, 10, 1, 2, 6, 4, 1, 5, 1, 6, 6, 10, 1, 1, 4, 6, 2, 1, 2, 1, 6, 6, 2, 2, 0, 10, 6, 2, 10, 6, 10, 1, 2, 10, 10, 2, 2, 6, 10, 2, 6, 6, 1, 9, 1, 2, 6, 1, 1, 4, 2, 6, 6, 10, 6, 2, 1, 1, 2, 10, 1, 2, 2, 6, 2, 10, 2, 6, 1, 10, 2, 1, 1, 10, 1, 1, 10, 2, 6, 6, 2, 1, 6, 1, 6, 1, 10, 2, 2, 2, 2, 1, 6, 6, 10, 10, 2, 1, 10, 10, 10, 6, 6, 2, 1, 6, 10, 1, 6, 0, 6, 6, 1, 1, 10, 10, 1, 6, 6, 2, 10, 10, 10, 10, 6, 2, 2, 1, 10, 10, 6, 1, 10, 1, 10, 6, 6, 6, 6, 1, 10, 6, 10, 10, 10, 2, 2, 0, 6, 2, 10, 6, 10, 9, 10, 1, 2, 10, 6, 2, 10, 6, 2, 2, 10, 2, 1, 1, 2, 6, 10, 2, 2, 1, 2, 6, 2, 6, 1, 1, 2, 2, 6, 1, 2, 6, 2, 1, 10, 10, 10, 2, 1, 10, 10, 9, 6, 1, 6, 10, 10, 6, 10, 1, 10, 2, 10, 4, 10, 6, 6, 2, 1, 2, 6, 1, 2, 6, 10, 6, 6, 2, 2, 6, 10, 1, 6, 2, 1, 1, 10, 5, 1, 2, 10, 2, 2, 1, 2, 2, 1, 6, 1, 2, 1, 2, 1, 1, 2, 1, 6, 10, 2, 10, 2, 1, 10, 1, 10, 10, 1, 2, 1, 10, 1, 6, 1, 2, 1, 6, 10, 6, 10, 1, 1, 10, 1, 2, 6, 1, 6, 10, 10, 6, 2, 10, 1, 10, 10, 10, 5, 10, 2, 2, 2, 6, 10, 1, 10, 2, 1, 6, 10, 10, 1, 1, 2, 10, 6, 10, 2, 2, 2, 1, 10, 2, 6, 1, 2, 10, 6, 0, 10, 2, 6, 2, 10, 2, 1, 9, 6, 2, 9, 10, 10, 0, 2, 1, 2, 10, 6, 10, 6, 10, 1, 2, 1, 1, 10, 2, 2, 2, 1, 6, 2, 1, 10, 1, 6, 2, 6, 2, 2, 6, 1, 1, 0, 2, 2, 1, 5, 2, 1, 10, 10, 2, 6, 1, 2, 1, 10, 6, 6, 6, 6, 10, 2, 1, 6, 6, 6, 6, 10, 6, 2, 10, 6, 10, 6, 1, 1, 2, 6, 6, 9, 6, 10, 2, 6, 10, 9, 2, 10, 1, 1, 1, 6, 6, 1, 2, 6, 6, 6, 6, 6, 1, 6, 1, 1, 6, 10, 2, 6, 2, 6, 10, 1, 1, 2, 1, 2, 2, 6, 2, 2, 10, 6, 10, 6, 1, 2, 2, 6, 6, 10, 10, 1, 2, 1, 6, 2, 2, 1, 10, 10, 1, 2, 6, 2, 6, 2, 10, 6, 2, 2, 2, 2, 1, 1, 10, 6, 2, 6, 10, 1, 1, 1, 1, 1, 10, 2, 40, 10, 6, 2, 2, 2, 10, 9, 2, 10, 2, 6, 10, 6, 1, 2, 2, 10, 1, 1, 10, 10, 10, 10, 2, 6, 1, 2, 1, 1, 6, 10, 1, 2, 6, 1, 1, 2, 10, 1, 2, 6, 1, 10, 6, 10, 6, 10, 0, 1, 2, 2, 1, 6, 1, 2, 6, 6, 6, 10, 1, 2, 1, 2, 2, 2, 10, 6, 6, 1, 6, 10, 6, 10, 10, 1, 1, 1, 6, 10, 6, 2, 2, 6, 2, 2, 2, 2, 2, 4, 6, 10, 6, 10, 2, 1, 6, 1, 0, 1, 1, 10, 10, 1, 2, 10, 1, 1, 2, 6, 0, 1, 2, 10, 6, 10, 10, 2, 2, 1, 2, 10, 10, 6, 2, 6, 1, 6, 10, 2, 10, 6, 6, 6, 2, 1, 6, 1, 6, 10, 2, 2, 2, 1, 8, 6, 1, 10, 9, 1, 2, 6, 10, 2, 1, 1, 6, 10, 0, 1, 1, 6, 2, 1, 1, 1, 6, 10, 1, 2, 10, 6, 2, 10, 10, 6, 1, 2, 6, 10, 6, 6, 1, 6, 6, 10, 2, 4, 10, 6, 6, 10, 5, 2, 10, 1, 6, 1, 1, 2, 1, 1, 10, 2, 10, 6, 10, 2, 10, 10, 10, 2, 2, 2, 10, 10, 6, 10, 1, 10, 1, 6, 1, 2, 2, 1, 6, 6, 10, 6, 6, 1, 8, 1, 5, 6, 10, 2, 10, 1, 10, 1, 6, 2, 2, 2, 6, 1, 6, 6, 1, 10, 1, 2, 6, 2, 2, 1, 1, 2, 2, 10, 1, 10, 1, 6, 10, 2, 2, 6, 2, 0, 6, 10, 2, 2, 10, 2, 10, 2, 1, 6, 6, 6, 1, 10, 2, 1, 1, 6, 6, 10, 1, 6, 6, 1, 2, 6, 2, 6, 6, 6, 6, 10, 2, 1, 10, 2, 2, 2, 6, 1, 6, 10, 6, 2, 10, 10, 10, 2, 10, 6, 1, 10, 6, 2, 2, 2, 10, 1, 2, 2, 6, 2, 6, 10, 1, 1, 2, 2, 10, 6, 2, 6, 6, 10, 2, 10, 2, 6, 1, 10, 1, 6, 2, 10, 2, 2, 6, 10, 1, 10, 10, 2, 6, 10, 1, 10, 2, 2, 6, 10, 2, 1, 6, 1, 1, 2, 10, 1, 10, 2, 1, 2, 6, 6, 2, 1, 10, 2, 2, 10, 6, 1, 2, 10, 6, 10, 2, 1, 6, 10, 10, 6, 6, 2, 6, 1, 2, 6, 10, 1, 1, 10, 2, 6, 10, 10, 10, 2, 1, 2, 10, 2, 1, 10, 6, 6, 1, 0, 1, 5, 10, 6, 2, 2, 6, 1, 2, 1, 2, 6, 1, 2, 10, 6, 1, 6, 10, 10, 10, 1, 1, 1, 6, 2, 1, 2, 10, 10, 1, 0, 2, 2, 6, 2, 1, 2, 2, 5, 1, 6, 10, 10, 6, 9, 1, 6, 2, 1, 6, 6, 10, 6, 6, 1, 0, 6, 1, 2, 2, 2, 10, 6, 6, 6, 2, 1, 10, 10, 2, 10, 2, 1, 2, 6, 1, 2, 2, 1, 10, 10, 1, 2, 2, 2, 6, 6, 6, 9, 6, 10, 2, 10, 6, 6, 6, 2, 2, 10, 10, 2, 10, 1, 6, 6, 2, 10, 9, 6, 2, 2, 10, 1, 6, 10, 0, 2, 2, 2, 2, 2, 10, 2, 10, 10, 10, 10, 6, 6, 1, 9, 2, 1, 1, 2, 10, 6, 10, 2, 10, 6, 1, 1, 1, 2, 2, 1, 1, 10, 6, 1, 6, 0, 6, 2, 2, 2, 1, 1, 1, 2, 2, 2, 6, 10, 2, 6, 6, 2, 10, 1, 1, 1, 6, 1, 1, 10, 2, 1, 5, 10, 1, 1, 6, 1, 1, 6, 2, 1, 1, 10, 5, 2, 2, 2, 5, 2, 6, 2, 10, 2, 2, 10, 2, 6, 6, 6, 1, 1, 6, 2, 2, 6, 10, 6, 10, 1, 6, 2, 6, 1, 2, 2, 6, 2, 2, 10, 1, 10, 2, 10, 2, 10, 2, 6, 6, 2, 1, 6, 6, 1, 0, 10, 10, 10, 6, 10, 2, 2, 1, 1, 10, 10, 10, 10, 10, 10, 1, 2, 6, 1, 2, 0, 1, 1, 6, 10, 2, 2, 10, 2, 6, 1, 6, 2, 2, 6, 2, 2, 10, 1, 10, 4, 6, 2, 10, 1, 10, 6, 10, 6, 2, 6, 10, 6, 1, 1, 6, 6, 6, 2, 10, 6, 1, 1, 6, 2, 1, 10, 2, 6, 6, 6, 2, 1, 2, 1, 6, 10, 2, 10, 1, 10, 2, 1, 1, 1, 2, 2, 2, 10, 10, 6, 2, 1, 10, 1, 6, 10, 6, 6, 2, 1, 2, 9, 2, 2, 1, 6, 6, 2, 6, 0, 10, 2, 1, 0, 10, 1, 6, 2, 10, 2, 2, 10, 2, 2, 1, 6, 6, 2, 6, 1, 6, 6, 1, 1, 6, 1, 1, 10, 10, 10, 10, 1, 1, 1, 6, 2, 10, 10, 10, 1, 10, 1, 10, 10, 10, 1, 10, 6, 10, 2, 2, 4, 10, 1, 1, 1, 6, 1, 10, 10, 1, 2, 1, 2, 6, 6, 2, 2, 1, 6, 1, 1, 10, 2, 1, 6, 2, 10, 10, 2, 4, 10, 6, 2, 10, 6, 1, 2, 1, 2, 6, 1, 2, 1, 6, 6, 1, 10, 10, 6, 1, 2, 6, 9, 1, 2, 10, 1, 2, 2, 2, 1, 1, 2, 6, 10, 1, 2, 2, 6, 1, 6, 10, 1, 10, 6, 1, 6, 2, 10, 10, 9, 1, 2, 1, 2, 1, 6, 6, 1, 1, 10, 2, 1, 1, 10, 1, 10, 1, 2, 10, 10, 1, 2, 1, 2, 1, 2, 2, 2, 6, 1, 0, 6, 6, 9, 2, 10, 6, 1, 6, 6, 2, 6, 6, 6, 10, 2, 10, 1, 6, 6, 6, 6, 1, 1, 1, 2, 10, 10, 1, 6, 6, 10, 2, 2, 2, 10, 10, 2, 10, 10, 10, 2, 10, 5, 6, 2, 10, 1, 10, 2, 0, 2, 1, 1, 6, 6, 6, 6, 10, 10, 2, 10, 6, 1, 6, 10, 2, 1, 1, 10, 6, 2, 6, 10, 2, 6, 1, 10, 10, 1, 1, 2, 6, 1, 1, 6, 6, 2, 4, 6, 2, 10, 1, 2, 10, 9, 4, 6, 6, 10, 10, 2, 1, 2, 10, 1, 6, 1, 2, 1, 1, 1, 2, 6, 6, 10, 1, 6, 2, 1, 6, 6, 2, 1, 10, 1, 6, 6, 4, 2, 6, 2, 10, 1, 1, 1, 6, 2, 10, 5, 6, 10, 1, 10, 1, 2, 1, 1, 6, 10, 10, 1, 10, 1, 1, 2, 6, 10, 2, 4, 1, 6, 1, 1, 1, 2, 10, 6, 2, 6, 10, 1, 6, 2, 1, 6, 6, 6, 10, 6, 2, 2, 1, 6, 2, 10, 5, 6, 6, 2, 2, 1, 1, 1, 0, 1, 6, 6, 2, 10, 2, 10, 1, 6, 2, 2, 6, 6, 1, 2, 2, 1, 6, 6, 2, 2, 1, 9, 1, 10, 1, 1, 6, 2, 6, 6, 10, 9, 1, 1, 10, 1, 2, 6, 1, 2, 6, 10, 10, 6, 1, 6, 10, 1, 2, 2, 10, 6, 1, 2, 10, 1, 2, 10, 1, 10, 1, 5, 2, 1, 6, 10, 10, 6, 1, 1, 10, 10, 2, 1, 2, 2, 2, 10, 1, 10, 6, 2, 6, 6, 10, 1, 10, 1, 10, 10, 1, 10, 10, 1, 1, 10, 1, 6, 10, 6, 1, 3, 10, 6, 2, 1, 1, 1, 2, 6, 1, 1, 2, 2, 6, 1, 10, 1, 1, 2, 10, 9, 2, 10, 2, 1, 10, 6, 10, 10, 2, 2, 10, 10, 1, 2, 2, 1, 1, 10, 10, 2, 6, 10, 10, 10, 10, 10, 2, 6, 1, 6, 6, 10, 1, 10, 2, 1, 2, 1, 6, 10, 5, 1, 1, 1, 10, 2, 1, 2, 10, 1, 10, 10, 10, 2, 2, 1, 10, 6, 1, 6, 10, 2, 2, 1, 2, 1, 1, 1, 10, 2, 6, 1, 10, 6, 1, 1, 10, 10, 2, 1, 10, 10, 1, 2, 10, 2, 1, 10, 1, 10, 6, 2, 2, 2, 1, 1, 2, 10, 6, 10, 6, 2, 6, 0, 1, 6, 1, 1, 1, 10, 10, 2, 6, 1, 1, 1, 2, 1, 1, 1, 6, 6, 6, 10, 10, 2, 6, 4, 1, 2, 6, 1, 6, 10, 1, 6, 6, 6, 1, 1, 1, 0, 1, 6, 2, 10, 2, 1, 2, 2, 6, 2, 2, 2, 10, 6, 10, 10, 6, 10, 1, 6, 10, 6, 1, 2, 1, 6, 10, 10, 6, 2, 6, 6, 6, 1, 2, 9, 6, 1, 10, 1, 6, 6, 10, 10, 1, 10, 1, 2, 2, 2, 10, 10, 10, 10, 6, 0, 1, 2, 2, 1, 2, 5, 10, 1, 10, 6, 1, 1, 2, 6, 1, 10, 6, 2, 2, 6, 6, 6, 1, 1, 9, 6, 10, 10, 2, 2, 10, 10, 2, 1, 1, 1, 10, 6, 10, 10, 10, 1, 10, 10, 10, 6, 1, 2, 1, 6, 0, 10, 1, 6, 2, 6, 1, 1, 10, 1, 10, 2, 1, 1, 6, 1, 1, 2, 6, 10, 10, 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10, 1, 6, 2, 10, 2, 6, 6, 6, 2, 1, 2, 6, 1, 2, 10, 0, 6, 9, 2, 1, 2, 5, 1, 2, 2, 10, 1, 6, 6, 10, 1, 10, 10, 6, 5, 1, 1, 10, 9, 10, 1, 1, 2, 1, 1, 2, 2, 2, 0, 6, 1, 2, 1, 6, 6, 1, 1, 6, 6, 2, 1, 1, 10, 6, 6, 6, 2, 2, 4, 10, 1, 2, 2, 2, 10, 10, 6, 1, 2, 1, 6, 1, 1, 2, 2, 6, 1, 2, 2, 10, 10, 6, 2, 1, 2, 2, 1, 6, 10, 2, 2, 10, 6, 2, 6, 1, 10, 6, 6, 2, 1, 10, 1, 2, 2, 2, 4, 10, 1, 1, 10, 1, 2, 6, 6, 6, 2, 6, 10, 1, 2, 2, 6, 10, 1, 1, 2, 6, 10, 6, 6, 10, 2, 10, 10, 6, 1, 6, 1, 6, 2, 6, 6, 1, 6, 2, 4, 1, 10, 6, 2, 6, 10, 2, 10, 2, 10, 10, 2, 10, 1, 2, 10, 6, 6, 10, 1, 10, 10, 2, 6, 6, 1, 10, 6, 1, 6, 6, 1, 10, 10, 1, 2, 1, 1, 10, 2, 2, 1, 10, 6, 1, 6, 10, 1, 6, 2, 6, 2, 1, 10, 2, 1, 1, 6, 10, 9, 10, 6, 10, 10, 6, 1, 1, 2, 1, 2, 10, 6, 1, 6, 2, 1, 6, 6, 2, 2, 10, 1, 1, 6, 1, 10, 2, 2, 10, 1, 2, 4, 10, 1, 9, 10, 6, 10, 6, 10, 1, 6, 1, 1, 6, 2, 2, 1, 2, 4, 9, 10, 10, 2, 10, 1, 1, 10, 2, 2, 10, 2, 10, 1, 4, 2, 6, 1, 2, 2, 1, 2, 10, 10, 1, 6, 1, 2, 2, 10, 1, 2, 6, 10, 6, 2, 2, 6, 6, 10, 1, 1, 1, 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1, 1, 40, 6, 2, 1, 10, 10, 10, 1, 2, 2, 2, 10, 10, 6, 1, 6, 6, 1, 10, 2, 10, 1, 10, 6, 10, 1, 1, 0, 5, 2, 6, 2, 1, 1, 6, 10, 10, 2, 2, 1, 6, 10, 6, 2, 2, 10, 10, 6, 2, 2, 6, 2, 2, 6, 2, 10, 6, 6, 10, 2, 6, 1, 1, 10, 1, 10, 1, 6, 10, 6, 6, 10, 1, 2, 6, 10, 6, 2, 1, 2, 1, 2, 1, 10, 6, 10, 1, 6, 1, 6, 2, 6, 6, 1, 10, 1, 1, 6, 6, 6, 6, 2, 6, 1, 1, 10, 2, 10, 6, 6, 2, 10, 1, 10, 1, 10, 6, 6, 10, 5, 10, 1, 10, 1, 1, 6, 10, 2, 2, 2, 6, 1, 10, 6, 2, 2, 1, 6, 0, 1, 2, 2, 2, 5, 1, 1, 5, 2, 10, 2, 1, 10, 2, 10, 10, 2, 2, 10, 6, 6, 6, 10, 2, 6, 10, 10, 10, 1, 6, 1, 1, 1, 2, 1, 1, 10, 1, 6, 6, 1, 10, 1, 2, 1, 10, 2, 1, 6, 1, 10, 10, 1, 1, 1, 6, 6, 10, 6, 1, 1, 1, 6, 1, 6, 1, 2, 5, 10, 2, 2, 6, 10, 10, 1, 6, 1, 2, 6, 1, 6, 10, 10, 1, 2, 6, 6, 6, 1, 2, 8, 2, 6, 6, 2, 10, 10, 1, 2, 2, 6, 2, 1, 1, 2, 1, 6, 2, 10, 2, 2, 6, 2, 6, 1, 10, 6, 1, 6, 1, 6, 1, 10, 2, 0, 0, 6, 1, 10, 10, 10, 1, 1, 6, 6, 10, 5, 6, 1, 6, 6, 1, 1, 1, 6, 1, 2, 2, 10, 10, 1, 6, 2, 6, 2, 2, 1, 6, 1, 1, 10, 10, 10, 2, 2, 2, 2, 2, 10, 2, 2, 10, 10, 1, 2, 6, 6, 6, 1, 10, 10, 2, 10, 6, 6, 2, 10, 10, 6, 1, 10, 10, 6, 1, 6, 10, 1, 1, 2, 1, 1, 6, 6, 2, 6, 2, 2, 2, 10, 1, 1, 2, 10, 10, 1, 6, 6, 6, 2, 1, 6, 10, 10, 2, 5, 6, 2, 1, 10, 6, 6, 1, 6, 6, 10, 2, 1, 2, 1, 2, 2, 2, 10, 1, 6, 10, 2, 10, 6, 10, 2, 1, 6, 10, 2, 2, 1, 1, 1, 2, 1, 9, 10, 2, 10, 10, 2, 1, 6, 1, 1, 1, 2, 2, 10, 10, 1, 1, 1, 1, 10, 2, 6, 2, 6, 10, 10, 6, 1, 1, 6, 1, 10, 2, 2, 2, 1, 2, 1, 2, 10, 1, 10, 2, 6, 10, 1, 10, 2, 1, 1, 2, 6, 10, 1, 2, 6, 2, 2, 10, 1, 2, 10, 1, 2, 6, 1, 2, 6, 10, 6, 6, 6, 2, 10, 10, 6, 1, 1, 2, 1, 10, 10, 1, 10, 2, 1, 1, 10, 2, 1, 2, 6, 2, 2, 10, 6, 9, 1, 9, 10, 10, 1, 1, 10, 1, 6, 6, 1, 10, 1, 6, 2, 10, 10, 1, 1, 10, 6, 10, 2, 6, 10, 1, 5, 10, 2, 1, 10, 6, 10, 6, 2, 1, 1, 2, 1, 0, 4, 1, 2, 10, 10, 6, 6, 0, 2, 2, 10, 6, 10, 2, 1, 2, 2, 6, 10, 2, 2, 1, 6, 1, 10, 2, 1, 6, 10, 10, 6, 1, 10, 10, 2, 1, 6, 1, 10, 6, 6, 2, 2, 6, 10, 2, 2, 6, 6, 5, 6, 10, 10, 10, 2, 4, 10, 1, 10, 1, 2, 2, 6, 2, 10, 2, 2, 1, 1, 10, 6, 10, 6, 10, 1, 6, 2, 10, 6, 6, 1, 1, 6, 6, 2, 1, 6, 2, 10, 2, 6, 6, 10, 10, 1, 6, 6, 10, 10, 0, 2, 6, 10, 6, 10, 1, 10, 2, 6, 2, 1, 1, 10, 2, 6, 1, 2, 10, 1, 10, 10, 2, 2, 10, 1, 2, 1, 2, 6, 10, 10, 10, 10, 2, 1, 6, 6, 6, 1, 5, 10, 2, 10, 6, 2, 2, 6, 6, 1, 6, 10, 10, 6, 2, 6, 2, 1, 10, 1, 2, 1, 10, 10, 6, 1, 2, 6, 2, 1, 10, 6, 2, 1, 10, 2, 10, 6, 6, 1, 2, 10, 10, 10, 6, 10, 1, 10, 1, 1, 6, 10, 10, 0, 6, 10, 6, 1, 10, 2, 2, 10, 10, 2, 10, 6, 2, 1, 1, 1, 6, 2, 1, 2, 2, 1, 10, 6, 1, 10, 1, 2, 10, 2, 2, 6, 1, 6, 6, 2, 1, 2, 1, 1, 10, 6, 6, 2, 6, 10, 10, 10, 6, 2, 10, 1, 1, 10, 2, 6, 2, 6, 10, 1, 6, 6, 1, 1, 10, 2, 1, 10, 2, 9, 2, 6, 2, 6, 1, 1, 1, 6, 1, 2, 2, 6, 1, 1, 2, 6, 1, 1, 6, 1, 6, 6, 6, 2, 6, 6, 2, 10, 1, 1, 6, 5, 1, 6, 1, 1, 10, 1, 1, 6, 2, 6, 10, 2, 10, 10, 10, 1, 10, 1, 10, 1, 1, 2, 1, 2, 10, 6, 2, 1, 6, 6, 10, 1, 6, 6, 6, 6, 1, 10, 2, 5, 10, 2, 2, 6, 2, 2, 1, 2, 5, 1, 6, 10, 2, 6, 10, 2, 0, 6, 6, 10, 10, 6, 10, 6, 6, 10, 1, 2, 1, 2, 1, 10, 2, 2, 6, 6, 10, 10, 1, 6, 10, 6, 6, 6, 1, 6, 6, 6, 6, 6, 2, 10, 10, 10, 1, 1, 1, 2, 4, 6, 2, 2, 2, 1, 6, 2, 1, 1, 2, 6, 2, 6, 2, 1, 1, 2, 1, 10, 2, 1, 6, 6, 6, 1, 10, 2, 6, 6, 10, 1, 1, 2, 1, 10, 10, 2, 1, 2, 2, 10, 1, 1, 1, 6, 0, 1, 10, 6, 2, 6, 2, 9, 1, 6, 1, 6, 6, 1, 10, 6, 10, 6, 1, 1, 6, 10, 4, 10, 2, 2, 2, 2, 1, 1, 10, 1, 10, 10, 2, 6, 2, 1, 0, 1, 10, 1, 10, 1, 10, 2, 1, 1, 6, 6, 6, 2, 2, 6, 10, 10, 6, 2, 10, 10, 1, 10, 6, 10, 1, 6, 2, 6, 6, 10, 10, 1, 6, 2, 6, 2, 6, 6, 2, 2, 1, 1, 6, 6, 10, 1, 1, 1, 6, 1, 10, 10, 1, 6, 2, 10, 6, 1, 1, 10, 1, 10, 1, 1, 2, 6, 10, 6, 2, 1, 5, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 10, 6, 1, 10, 6, 10, 10, 10, 6, 10, 2, 9, 10, 1, 10, 10, 10, 2, 1, 1, 6, 6, 2, 1, 2, 2, 10, 10, 6, 10, 2, 6, 6, 1, 1, 10, 2, 2, 6, 10, 0, 10, 10, 10, 10, 6, 1, 10, 2, 1, 2, 10, 6, 2, 1, 6, 6, 6, 2, 10, 6, 2, 6, 1, 1, 10, 1, 2, 10, 2, 10, 1, 1, 6, 6, 6, 10, 2, 2, 2, 2, 2, 4, 10, 6, 10, 2, 2, 6, 6, 6, 10, 6, 2, 2, 1, 0, 6, 6, 1, 10, 2, 10, 6, 2, 2, 10, 10, 1, 10, 10, 6, 6, 2, 10, 6, 10, 0, 6, 1, 2, 1, 10, 6, 1, 2, 2, 6, 10, 6, 1, 1, 2, 6, 2, 10, 10, 9, 1, 1, 10, 10, 1, 1, 0, 2, 2, 10, 10, 2, 6, 6, 10, 6, 10, 10, 2, 1, 10, 2, 6, 5, 10, 6, 6, 2, 2, 10, 2, 6, 10, 1, 6, 2, 6, 1, 10, 1, 2, 2, 10, 6, 10, 1, 1, 4, 6, 2, 6, 2, 6, 1, 2, 10, 2, 1, 6, 6, 6, 1, 6, 2, 2, 2, 0, 10, 1, 2, 6, 2, 2, 1, 6, 1, 6, 1, 6, 1, 1, 1, 2, 6, 1, 2, 1, 2, 0, 10, 1, 1, 10, 2, 10, 10, 2, 10, 10, 5, 10, 1, 2, 6, 10, 10, 6, 1, 2, 10, 6, 2, 10, 1, 1, 10, 1, 6, 1, 2, 1, 6, 2, 1, 2, 10, 2, 2, 10, 6, 2, 1, 2, 10, 6, 1, 2, 6, 1, 2, 2, 1, 2, 2, 2, 6, 0, 6, 2, 10, 10, 1, 2, 2, 2, 6, 6, 1, 10, 1, 10, 10, 1, 1, 6, 10, 10, 10, 6, 10, 5, 2, 2, 10, 1, 10, 1, 10, 6, 6, 10, 2, 1, 2, 1, 1, 10, 2, 1, 10, 10, 1, 10, 6, 1, 2, 6, 6, 9, 6, 10, 2, 1, 6, 2, 1, 2, 2, 10, 6, 6, 10, 2, 1, 2, 2, 6, 6, 6, 1, 1, 2, 10, 1, 2, 10, 6, 6, 10, 1, 6, 10, 2, 10, 10, 6, 10, 1, 10, 10, 6, 10, 6, 1, 6, 6, 2, 6, 6, 10, 1, 10, 2, 2, 6, 10, 2, 1, 6, 10, 2, 1, 6, 6, 2, 1, 1, 0, 6, 2, 10, 2, 2, 1, 6, 0, 10, 1, 1, 6, 6, 6, 6, 1, 6, 1, 1, 1, 6, 9, 1, 1, 2, 1, 10, 10, 6, 1, 10, 1, 9, 6, 10, 1, 10, 10, 6, 10, 6, 10, 2, 2, 10, 10, 2, 10, 1, 6, 10, 6, 10, 6, 2, 10, 10, 10, 1, 6, 2, 6, 10, 6, 1, 10, 2, 2, 1, 6, 1, 5, 4, 6, 1, 6, 6, 6, 6, 6, 10, 10, 1, 1, 2, 10, 1, 10, 10, 1, 10, 10, 1, 6, 6, 10, 10, 2, 10, 10, 1, 10, 1, 6, 1, 6, 2, 6, 6, 6, 6, 10, 6, 2, 1, 2, 9, 2, 0, 10, 10, 2, 10, 6, 1, 6, 2, 2, 6, 2, 6, 1, 6, 1, 2, 2, 6, 6, 2, 1, 2, 2, 2, 40, 2, 6, 6, 1, 5, 10, 2, 6, 9, 1, 6, 6, 2, 2, 10, 1, 2, 1, 4, 6, 10, 1, 9, 1, 2, 2, 2, 1, 10, 2, 6, 6, 6, 1, 2, 10, 1, 2, 2, 6, 10, 2, 2, 2, 6, 6, 6, 6, 4, 6, 6, 2, 2, 1, 6, 10, 2, 1, 10, 2, 10, 6, 10, 2, 1, 6, 2, 10, 2, 6, 2, 1, 2, 1, 2, 2, 1, 4, 1, 2, 2, 6, 10, 2, 6, 1, 2, 10, 10, 6, 10, 10, 6, 6, 5, 1, 2, 2, 10, 6, 1, 10, 10, 2, 1, 10, 6, 1, 10, 2, 10, 6, 1, 1, 6, 2, 2, 10, 1, 6, 2, 6, 1, 2, 2, 6, 6, 10, 2, 2, 1, 1, 10, 2, 4, 1, 6, 1, 1, 6, 1, 10, 2, 1, 10, 2, 10, 6, 1, 6, 2, 1, 10, 10, 2, 10, 2, 10, 10, 1, 2, 6, 2, 1, 6, 1, 10, 10, 10, 1, 1, 10, 10, 1, 6, 9, 1, 1, 10, 10, 1, 10, 1, 1, 2, 1, 1, 1, 2, 6, 6, 2, 6, 6, 0, 2, 6, 2, 10, 1, 6, 10, 2, 10, 10, 10, 1, 2, 2, 2, 1, 6, 6, 6, 9, 2, 2, 1, 9, 6, 6, 6, 6, 6, 1, 10, 6, 10, 10, 0, 6, 10, 1, 10, 2, 0, 10, 0, 10, 6, 10, 10, 6, 2, 1, 6, 6, 6, 1, 6, 6, 0, 6, 6, 6, 2, 1, 4, 1, 1, 1, 2, 10, 1, 10, 10, 2, 10, 1, 6, 6, 1, 6, 10, 10, 1, 1, 1, 2, 2, 2, 6, 10, 2, 6, 1, 10, 1, 10, 2, 2, 10, 10, 10, 2, 10, 1, 10, 6, 2, 10, 6, 2, 10, 6, 1, 10, 6, 1, 2, 6, 1, 2, 6, 10, 6, 1, 6, 6, 1, 2, 0, 1, 6, 1, 10, 2, 6, 1, 6, 1, 1, 9, 5, 2, 2, 2, 6, 1, 6, 10, 2, 2, 1, 6, 1, 1, 6, 1, 2, 6, 1, 2, 1, 2, 2, 10, 10, 6, 1, 2, 10, 2, 1, 1, 2, 1, 1, 2, 10, 1, 6, 40, 6, 6, 6, 6, 6, 1, 2, 6, 2, 10, 6, 6, 2, 2, 1, 6, 10, 1, 10, 6, 10, 1, 1, 0, 2, 2, 6, 2, 4, 1, 2, 6, 1, 1, 6, 2, 10, 1, 1, 6, 2, 2, 2, 2, 2, 1, 6, 10, 10, 6, 6, 1, 10, 10, 6, 6, 6, 10, 2, 1, 6, 10, 10, 10, 6, 6, 6, 1, 2, 6, 2, 6, 10, 2, 2, 6, 1, 6, 6, 1, 2, 1, 6, 6, 2, 10, 10, 2, 2, 9, 6, 10, 4, 6, 2, 1, 2, 6, 1, 2, 1, 1, 2, 2, 1, 5, 10, 10, 1, 2, 6, 10, 2, 6, 10, 10, 1, 10, 2, 6, 2, 10, 10, 10, 6, 6, 6, 1, 2, 10, 6, 10, 2, 1, 6, 10, 10, 2, 6, 6, 10, 10, 10, 2, 10, 1, 1, 2, 10, 10, 2, 1, 6, 6, 1, 10, 1, 2, 1, 10, 10, 6, 2, 2, 6, 2, 6, 1, 4, 1, 2, 1, 6, 2, 6, 1, 10, 6, 6, 9, 1, 10, 40, 6, 10, 1, 6, 2, 10, 6, 1, 10, 2, 2, 6, 1, 1, 6, 1, 2, 10, 1, 6, 10, 4, 10, 10, 10, 2, 2, 10, 6, 2, 10, 10, 1, 1, 6, 1, 10, 1, 6, 10, 10, 10, 6, 6, 2, 2, 6, 6, 10, 10, 6, 1, 6, 1, 2, 6, 10, 10, 6, 1, 0, 1, 10, 1, 10, 1, 1, 6, 1, 6, 5, 10, 6, 2, 2, 6, 2, 6, 6, 6, 6, 1, 2, 1, 10, 0, 2, 10, 6, 2, 2, 10, 10, 6, 2, 10, 1, 10, 2, 2, 2, 6, 6, 1, 2, 6, 10, 6, 2, 10, 10, 8, 1, 6, 10, 1, 2, 1, 6, 1, 10, 10, 10, 10, 2, 10, 1, 10, 2, 10, 10, 6, 1, 0, 1, 1, 6, 1, 1, 2, 2, 6, 1, 10, 6, 1, 1, 6, 10, 2, 10, 1, 6, 1, 1, 2, 2, 1, 5, 2, 2, 6, 1, 6, 6, 10, 2, 1, 1, 2, 10, 10, 2, 6, 2, 6, 10, 2, 10, 1, 6, 6, 1, 6, 10, 2, 2, 6, 1, 6, 1, 1, 10, 2, 2, 2, 1, 2, 10, 1, 1, 1, 6, 2, 2, 10, 1, 2, 2, 10, 2, 2, 10, 2, 6, 6, 6, 1, 10, 6, 1, 10, 2, 6, 1, 10, 1, 6, 10, 1, 2, 6, 1, 1, 6, 10, 10, 2, 2, 2, 1, 10, 6, 10, 2, 6, 10, 1, 1, 10, 10, 10, 1, 2, 10, 2, 1, 2, 6, 2, 6, 10, 6, 1, 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1, 2, 10, 2, 6, 6, 10, 6, 10, 2, 10, 6, 10, 5, 1, 6, 2, 1, 6, 10, 2, 1, 6, 6, 6, 1, 10, 1, 2, 10, 2, 1, 2, 1, 6, 2, 6, 10, 1, 1, 10, 1, 10, 1, 10, 2, 10, 2, 1, 10, 6, 2, 2, 10, 10, 6, 10, 6, 1, 2, 10, 2, 2, 1, 2, 6, 6, 6, 2, 10, 1, 10, 6, 10, 2, 1, 1, 6, 6, 1, 6, 1, 10, 10, 1, 2, 10, 6, 2, 6, 10, 1, 1, 10, 1, 2, 10, 2, 2, 10, 2, 10, 1, 2, 1, 10, 1, 1, 10, 6, 6, 6, 6, 10, 1, 6, 10, 1, 6, 10, 2, 2, 10, 10, 1, 1, 10, 1, 1, 2, 1, 2, 10, 2, 1, 1, 10, 0, 6, 4, 10, 6, 1, 10, 1, 10, 10, 10, 6, 2, 6, 2, 1, 2, 10, 2, 10, 10, 2, 1, 10, 10, 1, 6, 10, 2, 2, 6, 2, 1, 1, 1, 2, 1, 1, 1, 10, 1, 1, 2, 6, 2, 1, 10, 2, 10, 1, 1, 1, 1, 6, 1, 6, 2, 1, 6, 1, 10, 1, 10, 6, 1, 2, 10, 2, 10, 1, 6, 1, 10, 1, 10, 1, 10, 10, 2, 10, 6, 2, 2, 1, 6, 2, 10, 1, 1, 2, 6, 10, 10, 10, 2, 1, 1, 6, 2, 10, 2, 2, 6, 10, 10, 6, 6, 6, 6, 6, 2, 1, 10, 10, 2, 1, 6, 1, 2, 10, 2, 1, 9, 6, 1, 1, 6, 6, 2, 2, 0, 6, 1, 2, 6, 6, 2, 4, 10, 2, 1, 10, 1, 1, 6, 5, 2, 1, 6, 2, 10, 10, 2, 10, 6, 2, 2, 10, 6, 1, 6, 6, 10, 2, 10, 10, 10, 6, 10, 10, 10, 6, 2, 6, 1, 10, 1, 2, 2, 1, 6, 1, 1, 2, 6, 2, 2, 6, 1, 6, 2, 10, 10, 10, 2, 10, 10, 2, 2, 6, 2, 10, 6, 2, 6, 1, 6, 6, 1, 10, 2, 2, 1, 2, 2, 10, 1, 10, 2, 6, 6, 10, 10, 6, 4, 10, 6, 10, 6, 0, 2, 2, 2, 6, 10, 1, 1, 2, 10, 2, 10, 2, 1, 2, 10, 2, 1, 1, 1, 6, 1, 6, 2, 4, 2, 6, 10, 2, 9, 6, 6, 6, 2, 6, 10, 10, 10, 1, 10, 6, 1, 2, 6, 6, 1, 2, 10, 6, 1, 6, 2, 10, 6, 1, 2, 2, 10, 10, 6, 6, 6, 10, 2, 2, 10, 10, 6, 6, 6, 1, 10, 10, 6, 2, 10, 1, 10, 2, 10, 6, 10, 1, 2, 2, 2, 2, 1, 2, 10, 6, 1, 6, 6, 1, 10, 2, 6, 10, 2, 1, 10, 1, 1, 10, 6, 2, 2, 2, 5, 1, 6, 6, 1, 1, 1, 10, 6, 6, 10, 10, 2, 2, 2, 1, 10, 2, 1, 6, 2, 1, 1, 6, 2, 6, 1, 10, 10, 1, 10, 2, 6, 10, 1, 2, 1, 2, 1, 6, 4, 6, 10, 9, 2, 6, 1, 6, 1, 10, 6, 10, 1, 2, 1, 10, 2, 2, 10, 10, 2, 1, 1, 6, 1, 6, 5, 6, 1, 1, 1, 10, 2, 1, 10, 1, 10, 6, 10, 6, 2, 6, 1, 6, 1, 6, 10, 1, 1, 1, 1, 6, 1, 4, 2, 6, 0, 10, 5, 10, 6, 2, 6, 6, 10, 10, 6, 1, 10, 5, 9, 1, 2, 10, 2, 6, 2, 2, 6, 1, 4, 1, 2, 1, 2, 1, 6, 1, 1, 6, 2, 10, 2, 6, 6, 2, 1, 1, 6, 1, 10, 6, 6, 2, 9, 6, 6, 6, 6, 10, 1, 6, 1, 10, 1, 1, 6, 10, 2, 10, 1, 6, 10, 10, 6, 6, 1, 1, 6, 10, 10, 6, 10, 2, 6, 5, 1, 10, 2, 1, 6, 10, 10, 1, 1, 1, 6, 10, 10, 6, 10, 1, 1, 2, 6, 2, 2, 1, 10, 10, 2, 6, 10, 10, 1, 2, 10, 2, 1, 10, 1, 6, 1, 1, 2, 1, 10, 10, 10, 6, 6, 9, 6, 1, 1, 10, 1, 6, 1, 10, 6, 6, 1, 6, 10, 10, 1, 2, 6, 6, 2, 6, 1, 6, 10, 10, 1, 1, 6, 10, 10, 10, 1, 2, 1, 10, 2, 1, 10, 1, 10, 6, 2, 10, 1, 6, 0, 10, 1, 2, 10, 2, 2, 4, 4, 10, 10, 6, 1, 10, 10, 1, 1, 6, 1, 2, 2, 2, 6, 1, 6, 1, 6, 1, 10, 10, 1, 10, 2, 2, 10, 2, 1, 2, 2, 2, 1, 2, 2, 2, 10, 2, 10, 1, 10, 6, 1, 6, 1, 2, 10, 2, 6, 1, 6, 10, 1, 1, 10, 2, 2, 2, 10, 2, 6, 10, 2, 6, 6, 1, 6, 9, 10, 6, 6, 10, 1, 2, 6, 6, 1, 10, 6, 1, 2, 1, 1, 10, 6, 1, 6, 6, 2, 1, 10, 6, 6, 2, 10, 10, 10, 6, 6, 6, 2, 2, 2, 2, 6, 10, 10, 2, 2, 6, 2, 2, 1, 1, 1, 10, 9, 2, 10, 10, 2, 1, 4, 1, 6, 2, 6, 6, 1, 2, 6, 10, 10, 1, 6, 2, 1, 10, 1, 2, 1, 10, 1, 2, 1, 6, 6, 10, 6, 1, 6, 1, 10, 5, 10, 6, 10, 6, 10, 1, 10, 1, 2, 2, 1, 6, 5, 2, 2, 2, 10, 6, 2, 6, 2, 6, 6, 10, 1, 1, 10, 1, 10, 6, 10, 1, 10, 1, 2, 0, 2, 6, 2, 6, 1, 6, 1, 10, 1, 2, 3, 6, 6, 2, 10, 1, 2, 6, 10, 6, 2, 6, 6, 2, 2, 6, 2, 1, 10, 1, 1, 6, 1, 2, 10, 6, 1, 1, 10, 10, 2, 6, 2, 2, 10, 2, 6, 2, 2, 0, 2, 10, 2, 6, 6, 2, 1, 10, 10, 1, 6, 1, 1, 2, 10, 2, 10, 6, 2, 8, 6, 10, 1, 1, 6, 1, 10, 2, 1, 2, 10, 6, 1, 6, 1, 2, 2, 1, 6, 6, 1, 10, 10, 6, 2, 6, 1, 1, 6, 6, 6, 1, 6, 1, 6, 10, 1, 1, 1, 10, 10, 2, 10, 10, 2, 6, 10, 10, 1, 6, 2, 2, 2, 6, 6, 9, 6, 6, 2, 1, 1, 10, 1, 2, 2, 10, 6, 10, 10, 5, 2, 1, 6, 1, 6, 10, 1, 0, 2, 2, 10, 4, 1, 1, 1, 10, 4, 2, 10, 6, 2, 10, 10, 10, 2, 1, 6, 10, 1, 2, 2, 2, 10, 1, 10, 1, 2, 10, 1, 2, 1, 6, 1, 2, 6, 10, 6, 10, 40, 6, 2, 1, 10, 2, 2, 6, 10, 2, 2, 10, 2, 1, 6, 10, 2, 10, 10, 10, 2, 6, 2, 1, 6, 6, 1, 6, 1, 1, 6, 6, 4, 1, 6, 1, 2, 2, 1, 1, 10, 4, 10, 1, 6, 6, 1, 5, 1, 6, 2, 2, 0, 2, 6, 10, 10, 6, 1, 6, 10, 10, 2, 1, 6, 9, 1, 6, 2, 2, 2, 10, 10, 1, 2, 0, 10, 6, 2, 1, 2, 10, 6, 6, 10, 10, 6, 1, 1, 10, 1, 2, 1, 1, 10, 1, 1, 2, 10, 2, 10, 10, 2, 2, 6, 10, 1, 10, 2, 1, 10, 5, 6, 6, 10, 10, 2, 1, 2, 6, 10, 5, 6, 2, 10, 1, 2, 10, 40, 6, 6, 6, 1, 6, 1, 6, 2, 1, 1, 1, 2, 1, 10, 2, 1, 2, 1, 2, 1, 10, 1, 6, 10, 6, 10, 10, 6, 10, 6, 2, 6, 10, 1, 2, 2, 6, 2, 2, 10, 1, 6, 1, 1, 6, 1, 2, 2, 6, 2, 1, 10, 5, 2, 10, 2, 2, 6, 10, 6, 10, 10, 2, 10, 10, 2, 10, 10, 1, 1, 6, 2, 1, 6, 10, 2, 6, 10, 10, 10, 1, 6, 6, 2, 4, 2, 6, 10, 10, 10, 10, 40, 1, 2, 1, 6, 6, 1, 10, 1, 2, 10, 1, 1, 6, 1, 2, 1, 6, 4, 6, 2, 10, 6, 2, 10, 2, 3, 10, 6, 9, 5, 10, 1, 5, 4, 10, 10, 1, 1, 1, 10, 10, 1, 1, 2, 2, 1, 1, 1, 10, 5, 6, 1, 1, 6, 2, 10, 2, 2, 6, 6, 1, 2, 6, 1, 2, 1, 10, 2, 6, 1, 2, 1, 10, 10, 1, 10, 5, 6, 10, 2, 6, 1, 6, 2, 10, 10, 6, 0, 2, 1, 2, 1, 6, 6, 6, 10, 2, 10, 1, 10, 6, 1, 2, 2, 10, 1, 10, 2, 10, 1, 10, 1, 6, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 9, 6, 6, 10, 6, 1, 10, 10, 6, 6, 2, 10, 1, 10, 10, 6, 6, 2, 10, 1, 10, 2, 6, 6, 1, 6, 10, 6, 1, 10, 2, 1, 10, 2, 2, 1, 6, 10, 6, 6, 6, 2, 10, 2, 1, 6, 2, 2, 6, 10, 10, 1, 10, 2, 10, 6, 1, 2, 10, 1, 2, 6, 10, 10, 1, 2, 6, 1, 6, 10, 10, 5, 6, 2, 2, 1, 1, 6, 6, 2, 1, 9, 6, 2, 2, 5, 1, 4, 6, 2, 2, 10, 2, 1, 6, 10, 10, 10, 2, 2, 2, 6, 4, 6, 2, 1, 2, 6, 2, 6, 10, 1, 2, 1, 1, 1, 10, 10, 6, 2, 2, 1, 1, 1, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 1, 1, 6, 6, 2, 2, 10, 2, 2, 2, 2, 10, 1, 1, 6, 2, 1, 1, 1, 1, 1, 10, 10, 2, 2, 10, 10, 10, 2, 1, 1, 6, 1, 6, 6, 1, 1, 10, 6, 6, 6, 10, 10, 1, 2, 2, 1, 6, 5, 2, 1, 6, 2, 2, 2, 10, 6, 0, 6, 2, 6, 10, 2, 2, 1, 1, 2, 1, 10, 10, 6, 10, 10, 1, 1, 10, 2, 6, 2, 2, 10, 1, 2, 6, 10, 10, 10, 1, 6, 6, 2, 6, 2, 2, 10, 6, 10, 1, 6, 0, 6, 6, 1, 10, 6, 6, 2, 2, 2, 10, 2, 10, 1, 10, 6, 2, 10, 10, 10, 10, 6, 1, 1, 10, 6, 10, 6, 10, 2, 10, 2, 6, 2, 10, 2, 6, 10, 6, 2, 10, 6, 10, 10, 1, 1, 2, 1, 1, 10, 1, 6, 2, 2, 2, 1, 6, 1, 1, 6, 10, 1, 2, 10, 10, 4, 10, 2, 2, 1, 1, 1, 2, 6, 2, 6, 2, 2, 2, 1, 2, 2, 6, 10, 6, 6, 6, 6, 2, 6, 6, 2, 6, 10, 1, 10, 6, 2, 6, 6, 6, 6, 1, 10, 10, 6, 2, 2, 6, 10, 6, 10, 0, 6, 1, 10, 1, 1, 10, 1, 10, 6, 10, 10, 6, 6, 2, 10, 1, 2, 2, 6, 4, 1, 2, 10, 2, 6, 10, 2, 2, 6, 2, 2, 1, 10, 1, 2, 1, 2, 10, 10, 6, 10, 1, 10, 1, 1, 2, 6, 6, 10, 1, 10, 1, 2, 10, 10, 1, 9, 6, 1, 10, 6, 6, 1, 1, 10, 6, 2, 10, 10, 6, 6, 1, 6, 10, 10, 6, 2, 2, 2, 1, 2, 1, 6, 2, 10, 2, 10, 1, 10, 10, 6, 6, 6, 2, 1, 1, 10, 6, 10, 1, 1, 2, 6, 10, 6, 1, 1, 2, 10, 2, 1, 1, 10, 1, 2, 2, 10, 0, 1, 1, 6, 1, 10, 6, 1, 10, 10, 1, 10, 1, 1, 10, 2, 2, 2, 2, 10, 6, 1, 2, 6, 1, 2, 1, 1, 6, 6, 1, 6, 2, 10, 10, 6, 2, 1, 10, 1, 6, 1, 10, 10, 2, 2, 6, 2, 6, 2, 1, 6, 2, 6, 1, 6, 10, 2, 6, 0, 1, 1, 10, 6, 2, 2, 2, 1, 6, 1, 2, 1, 1, 1, 10, 6, 6, 1, 10, 1, 0, 6, 2, 2, 1, 1, 1, 6, 2, 2, 1, 1, 6, 2, 6, 1, 1, 1, 2, 6, 1, 10, 1, 2, 6, 10, 10, 2, 6, 2, 10, 2, 2, 0, 6, 10, 6, 10, 2, 1, 10, 1, 1, 2, 10, 2, 0, 6, 1, 2, 10, 6, 10, 1, 10, 2, 1, 1, 6, 10, 2, 2, 10, 10, 6, 6, 2, 6, 6, 10, 10, 6, 10, 1, 2, 1, 2, 2, 1, 2, 1, 10, 6, 6, 1, 0, 10, 1, 10, 1, 10, 10, 0, 2, 10, 10, 6, 10, 5, 6, 6, 6, 6, 2, 2, 10, 1, 10, 6, 10, 10, 1, 2, 2, 10, 6, 2, 2, 2, 10, 2, 1, 2, 6, 1, 5, 6, 6, 10, 9, 6, 2, 6, 2, 6, 10, 6, 1, 6, 2, 1, 2, 1, 1, 10, 6, 2, 6, 2, 10, 6, 6, 1, 1, 1, 2, 2, 10, 1, 6, 10, 10, 6, 1, 6, 10, 2, 10, 10, 2, 1, 2, 2, 2, 2, 10, 10, 1, 2, 6, 6, 6, 2, 1, 6, 2, 1, 1, 10, 1, 6, 6, 1, 2, 1, 1, 9, 10, 10, 10, 1, 10, 10, 10, 6, 1, 4, 2, 9, 1, 10, 6, 10, 2, 2, 2, 6, 1, 10, 2, 1, 2, 2, 2, 0, 10, 1, 1, 5, 2, 10, 6, 10, 1, 2, 1, 10, 10, 2, 10, 2, 10, 10, 1, 2, 1, 6, 6, 2, 10, 1, 10, 10, 2, 1, 10, 6, 10, 6, 1, 10, 1, 6, 1, 6, 10, 2, 6, 2, 1, 2, 1, 5, 6, 2, 2, 10, 6, 10, 5, 4, 6, 6, 2, 1, 2, 1, 2, 2, 5, 10, 10, 10, 2, 2, 6, 6, 10, 1, 1, 1, 1, 1, 6, 10, 1, 10, 6, 1, 0, 1, 10, 10, 10, 10, 6, 6, 2, 10, 1, 1, 2, 2, 10, 10, 5, 6, 6, 5, 6, 10, 2, 0, 6, 10, 2, 10, 1, 1, 10, 1, 10, 6, 10, 6, 6, 6, 2, 1, 6, 6, 2, 10, 6, 6, 2, 2, 1, 2, 1, 1, 1, 6, 2, 1, 2, 2, 1, 10, 6, 6, 1, 10, 2, 2, 6, 6, 6, 10, 1, 9, 6, 1, 2, 2, 10, 10, 10, 1, 1, 2, 2, 6, 2, 1, 10, 2, 1, 2, 10, 10, 6, 5, 10, 1, 6, 6, 10, 6, 2, 6, 1, 1, 6, 2, 6, 10, 1, 1, 6, 6, 1, 2, 2, 1, 10, 2, 6, 10, 10, 10, 10, 1, 6, 10, 6, 1, 1, 1, 6, 6, 6, 10, 1, 1, 1, 0, 6, 10, 5, 10, 6, 6, 1, 2, 2, 1, 10, 10, 6, 2, 10, 1, 6, 10, 10, 1, 6, 6, 10, 2, 2, 10, 6, 2, 10, 6, 6, 1, 2, 10, 6, 6, 2, 1, 10, 1, 1, 10, 2, 10, 6, 10, 6, 6, 10, 6, 10, 6, 6, 2, 6, 1, 2, 2, 2, 1, 9, 2, 2, 10, 1, 6, 6, 1, 10, 2, 10, 6, 2, 1, 6, 10, 6, 1, 6, 10, 1, 1, 1, 6, 6, 6, 6, 2, 1, 6, 1, 10, 10, 10, 10, 1, 2, 2, 1, 1, 1, 10, 2, 1, 10, 6, 10, 10, 6, 1, 2, 10, 10, 6, 2, 6, 10, 6, 1, 10, 6, 4, 2, 6, 10, 2, 10, 2, 2, 2, 6, 1, 1, 6, 10, 1, 6, 1, 2, 6, 10, 10, 10, 1, 6, 2, 4, 1, 6, 10, 6, 6, 10, 2, 2, 1, 6, 1, 10, 1, 2, 6, 2, 1, 10, 2, 1, 10, 2, 10, 2, 6, 10, 0, 6, 2, 10, 6, 10, 1, 1, 1, 10, 1, 6, 10, 2, 2, 10, 10, 2, 2, 10, 10, 1, 2, 10, 6, 2, 6, 2, 1, 6, 1, 10, 1, 6, 2, 4, 1, 10, 1, 2, 10, 10, 2, 10, 6, 2, 1, 10, 10, 10, 2, 2, 2, 6, 2, 10, 2, 2, 1, 6, 10, 6, 1, 10, 6, 10, 2, 2, 1, 6, 6, 1, 2, 10, 6, 2, 10, 10, 6, 1, 1, 2, 1, 6, 2, 9, 10, 6, 6, 6, 1, 10, 1, 2, 1, 10, 2, 2, 6, 2, 1, 10, 1, 2, 6, 6, 2, 6, 2, 2, 1, 10, 10, 10, 2, 2, 2, 6, 1, 1, 2, 1, 6, 2, 10, 1, 1, 10, 6, 1, 2, 10, 6, 2, 1, 2, 5, 6, 10, 2, 1, 2, 10, 10, 2, 6, 1, 0, 10, 1, 6, 2, 2, 10, 2, 10, 1, 10, 6, 0, 10, 2, 10, 6, 1, 10, 10, 1, 6, 1, 10, 1, 10, 10, 6, 1, 6, 1, 4, 1, 6, 0, 2, 6, 2, 2, 6, 6, 2, 2, 6, 10, 1, 6, 10, 2, 2, 6, 1, 10, 10, 1, 1, 10, 10, 2, 6, 1, 1, 2, 1, 1, 6, 2, 10, 2, 10, 1, 10, 2, 6, 2, 1, 0, 2, 10, 6, 10, 2, 1, 6, 6, 5, 2, 2, 1, 10, 2, 1, 2, 1, 10, 9, 1, 6, 2, 2, 10, 2, 1, 6, 1, 6, 1, 1, 1, 2, 6, 6, 10, 9, 1, 1, 10, 5, 6, 5, 10, 2, 10, 10, 1, 6, 2, 10, 1, 1, 1, 6, 1, 6, 1, 1, 4, 2, 2, 1, 1, 6, 1, 1, 9, 10, 1, 2, 1, 1, 1, 10, 2, 2, 2, 1, 6, 1, 10, 2, 1, 10, 6, 1, 2, 1, 1, 1, 2, 2, 6, 1, 10, 1, 6, 10, 1, 2, 6, 6, 2, 0, 2, 6, 1, 2, 6, 10, 1, 6, 6, 10, 6, 6, 10, 10, 1, 6, 6, 6, 10, 10, 1, 10, 2, 2, 2, 10, 10, 1, 6, 10, 6, 1, 6, 6, 2, 6, 2, 1, 1, 2, 1, 2, 6, 1, 1, 10, 2, 6, 10, 6, 10, 1, 6, 1, 10, 6, 2, 6, 10, 1, 6, 10, 6, 6, 1, 1, 2, 2, 2, 2, 6, 1, 10, 10, 1, 2, 10, 1, 10, 2, 1, 2, 2, 6, 2, 1, 2, 1, 1, 2, 2, 10, 10, 1, 10, 1, 2, 1, 2, 10, 1, 6, 10, 2, 2, 6, 2, 9, 1, 2, 1, 10, 6, 6, 6, 10, 2, 1, 2, 6, 1, 1, 10, 6, 2, 6, 10, 2, 1, 10, 1, 10, 10, 10, 10, 10, 9, 1, 10, 10, 5, 6, 2, 5, 10, 10, 2, 6, 10, 1, 1, 1, 2, 6, 10, 1, 1, 6, 6, 2, 6, 1, 2, 2, 6, 1, 6, 1, 6, 6, 1, 1, 1, 6, 10, 1, 6, 10, 1, 10, 1, 10, 2, 10, 1, 1, 6, 2, 10, 5, 1, 1, 2, 2, 10, 2, 10, 6, 6, 6, 4, 6, 6, 10, 6, 10, 1, 6, 6, 2, 6, 6, 6, 10, 2, 2, 1, 2, 2, 2, 6, 2, 1, 6, 6, 6, 10, 1, 6, 1, 6, 10, 6, 2, 2, 2, 6, 6, 9, 2, 1, 1, 10, 10, 2, 10, 6, 10, 2, 10, 2, 6, 6, 1, 10, 2, 6, 2, 2, 2, 10, 2, 2, 1, 2, 1, 6, 10, 1, 6, 2, 1, 1, 6, 10, 10, 2, 1, 1, 6, 6, 9, 1, 10, 6, 10, 6, 10, 0, 6, 0, 1, 10, 6, 2, 1, 2, 9, 1, 10, 2, 6, 2, 1, 10, 6, 1, 2, 10, 10, 10, 10, 0, 6, 1, 6, 1, 1, 6, 10, 10, 10, 2, 10, 2, 2, 1, 1, 1, 6, 2, 2, 6, 1, 2, 1, 2, 6, 6, 6, 1, 2, 6, 6, 1, 2, 6, 5, 1, 1, 1, 1, 6, 6, 2, 2, 10, 10, 6, 2, 10, 1, 6, 9, 10, 2, 2, 1, 6, 2, 10, 10, 2, 2, 1, 1, 6, 10, 9, 1, 9, 1, 1, 6, 6, 2, 10, 2, 1, 1, 6, 1, 10, 6, 6, 6, 2, 6, 6, 2, 1, 6, 10, 5, 10, 2, 2, 2, 2, 1, 6, 10, 2, 6, 1, 1, 2, 10, 6, 1, 6, 10, 6, 1, 10, 2, 2, 10, 2, 1, 10, 6, 2, 2, 2, 10, 10, 10, 10, 10, 10, 1, 6, 6, 6, 6, 5, 10, 6, 6, 1, 1, 1, 10, 1, 10, 2, 6, 6, 2, 1, 1, 10, 10, 10, 6, 6, 1, 1, 2, 10, 6, 10, 1, 2, 1, 10, 1, 1, 1, 6, 6, 6, 9, 9, 1, 1, 10, 2, 10, 1, 2, 2, 2, 1, 1, 6, 6, 2, 1, 10, 10, 10, 10, 6, 10, 2, 6, 6, 1, 1, 2, 1, 10, 2, 1, 6, 10, 1, 6, 6, 10, 10, 6, 6, 1, 6, 2, 0, 10, 2, 10, 6, 2, 10, 2, 10, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 6, 2, 6, 1, 10, 10, 6, 2, 1, 6, 1, 10, 0, 2, 6, 10, 2, 6, 1, 10, 10, 10, 1, 2, 2, 2, 6, 10, 1, 6, 6, 10, 1, 6, 2, 2, 1, 2, 1, 10, 1, 1, 2, 10, 10, 2, 10, 1, 1, 5, 2, 2, 10, 10, 1, 6, 6, 2, 2, 6, 10, 1, 1, 6, 10, 6, 10, 6, 1, 1, 6, 10, 10, 10, 2, 6, 10, 6, 6, 1, 1, 1, 2, 6, 6, 2, 6, 1, 10, 6, 10, 10, 10, 10, 10, 10, 1, 6, 2, 10, 1, 1, 1, 6, 6, 1, 6, 6, 2, 1, 6, 2, 10, 6, 2, 1, 10, 6, 6, 6, 9, 2, 1, 10, 1, 6, 2, 2, 1, 6, 1, 1, 1, 1, 2, 2, 1, 2, 6, 6, 2, 10, 2, 6, 6, 1, 2, 1, 1, 6, 1, 6, 6, 10, 6, 2, 2, 10, 1, 2, 6, 4, 10, 1, 6, 2, 10, 6, 2, 1, 10, 1, 6, 1, 2, 2, 2, 2, 6, 6, 1, 6, 6, 6, 4, 1, 2, 10, 6, 10, 10, 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1, 6, 2, 6, 0, 1, 2, 2, 10, 2, 4, 1, 2, 6, 1, 2, 10, 6, 1, 10, 2, 6, 10, 1, 1, 6, 10, 10, 1, 10, 1, 10, 6, 1, 6, 10, 2, 2, 2, 6, 6, 6, 2, 6, 6, 6, 6, 10, 6, 6, 2, 6, 10, 1, 6, 6, 2, 4, 6, 2, 2, 1, 10, 6, 6, 1, 1, 10, 1, 10, 2, 2, 2, 6, 2, 6, 1, 1, 10, 10, 10, 1, 2, 10, 10, 2, 1, 2, 6, 6, 2, 1, 6, 2, 10, 10, 1, 6, 1, 2, 2, 2, 10, 6, 10, 2, 6, 1, 1, 1, 2, 6, 6, 10, 2, 2, 10, 6, 1, 6, 2, 10, 2, 2, 2, 6, 10, 2, 2, 1, 10, 10, 10, 2, 10, 1, 10, 10, 10, 2, 1, 10, 6, 1, 2, 6, 1, 10, 3, 2, 6, 2, 10, 10, 10, 5, 2, 6, 1, 10, 10, 1, 6, 1, 2, 0, 1, 2, 10, 10, 1, 10, 2, 2, 1, 1, 10, 10, 10, 6, 2, 10, 10, 1, 6, 1, 10, 6, 10, 1, 6, 1, 1, 1, 6, 1, 2, 6, 6, 2, 10, 10, 1, 2, 0, 10, 6, 1, 6, 2, 9, 1, 1, 6, 10, 1, 1, 2, 10, 1, 4, 6, 6, 1, 2, 6, 10, 10, 6, 6, 10, 5, 2, 1, 6, 1, 10, 6, 4, 2, 10, 1, 2, 1, 6, 6, 2, 2, 2, 2, 1, 6, 10, 1, 2, 10, 6, 6, 1, 1, 6, 10, 1, 10, 6, 2, 1, 2, 2, 2, 6, 2, 6, 10, 6, 6, 6, 10, 1, 9, 1, 10, 6, 2, 10, 1, 10, 1, 10, 2, 10, 1, 10, 2, 6, 6, 10, 5, 10, 6, 1, 6, 6, 10, 1, 2, 2, 6, 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10, 6, 2, 6, 10, 10, 10, 2, 10, 10, 10, 2, 10, 1, 2, 2, 2, 10, 6, 6, 6, 10, 10, 10, 1, 6, 1, 6, 2, 4, 2, 1, 4, 6, 2, 6, 4, 10, 10, 10, 2, 2, 1, 2, 6, 10, 1, 6, 10, 6, 10, 6, 6, 2, 2, 2, 1, 10, 10, 10, 2, 1, 6, 6, 1, 1, 1, 1, 6, 6, 10, 2, 10, 10, 1, 1, 2, 1, 1, 0, 10, 2, 6, 10, 2, 2, 10, 2, 2, 10, 2, 1, 2, 1, 10, 10, 10, 1, 1, 1, 2, 6, 1, 1, 1, 10, 10, 2, 4, 2, 6, 2, 10, 6, 2, 1, 2, 6, 1, 1, 1, 1, 2, 6, 6, 1, 2, 2, 1, 6, 2, 2, 10, 10, 2, 6, 1, 6, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 4, 6, 6, 1, 2, 1, 1, 6, 1, 6, 10, 6, 1, 10, 1, 6, 1, 2, 6, 2, 1, 6, 6, 6, 9, 6, 5, 10, 2, 6, 6, 10, 5, 2, 2, 1, 10, 2, 2, 1, 2, 10, 2, 2, 2, 1, 1, 6, 1, 6, 10, 6, 10, 2, 2, 1, 1, 1, 2, 6, 1, 6, 1, 1, 1, 10, 2, 6, 10, 10, 10, 6, 6, 6, 1, 6, 1, 2, 6, 10, 10, 1, 1, 6, 2, 6, 10, 2, 10, 10, 1, 10, 10, 1, 2, 1, 1, 2, 1, 6, 1, 10, 6, 6, 10, 6, 2, 2, 6, 10, 2, 5, 2, 1, 10, 6, 10, 1, 1, 1, 2, 1, 6, 2, 10, 1, 2, 6, 1, 10, 10, 2, 1, 10, 10, 2, 6, 2, 10, 1, 1, 6, 10, 6, 2, 1, 1, 6, 10, 6, 10, 1, 10, 1, 1, 10, 2, 10, 6, 1, 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2, 6, 6, 1, 2, 2, 6, 6, 6, 10, 0, 2, 6, 10, 1, 6, 2, 6, 1, 10, 1, 1, 2, 2, 0, 6, 10, 6, 6, 2, 2, 5, 6, 2, 6, 6, 1, 10, 10, 1, 2, 2, 0, 6, 10, 6, 10, 10, 2, 1, 1, 2, 10, 4, 1, 10, 1, 10, 6, 1, 10, 2, 2, 10, 1, 9, 6, 6, 10, 1, 1, 1, 1, 1, 2, 1, 1, 6, 1, 6, 1, 2, 10, 2, 10, 1, 2, 2, 10, 10, 10, 10, 2, 6, 6, 6, 2, 10, 5, 10, 1, 2, 10, 6, 2, 5, 6, 1, 10, 10, 2, 6, 1, 10, 2, 10, 10, 4, 10, 2, 1, 6, 1, 1, 1, 1, 6, 10, 10, 2, 10, 2, 10, 6, 6, 10, 1, 10, 10, 10, 6, 10, 2, 1, 10, 10, 10, 6, 2, 5, 2, 6, 1, 6, 2, 2, 6, 10, 6, 6, 10, 6, 6, 10, 6, 10, 6, 1, 1, 10, 6, 10, 2, 1, 10, 1, 10, 2, 10, 1, 6, 10, 6, 6, 1, 6, 6, 6, 1, 6, 1, 10, 6, 1, 6, 1, 6, 1, 2, 2, 1, 6, 6, 10, 1, 6, 10, 6, 10, 2, 4, 6, 1, 2, 2, 1, 2, 0, 1, 2, 10, 10, 10, 2, 2, 2, 1, 1, 9, 1, 6, 9, 1, 1, 10, 1, 6, 1, 6, 6, 2, 10, 2, 10, 2, 10, 2, 10, 6, 6, 10, 10, 2, 2, 10, 10, 2, 10, 6, 1, 1, 4, 10, 1, 1, 10, 10, 1, 2, 6, 1, 4, 1, 2, 2, 1, 6, 10, 1, 9, 2, 6, 2, 2, 1, 1, 2, 1, 10, 2, 6, 2, 1, 6, 2, 6, 6, 2, 10, 1, 10, 2, 2, 6, 6, 6, 1, 1, 10, 1, 1, 6, 1, 10, 1, 10, 10, 1, 9, 6, 10, 2, 1, 2, 2, 2, 6, 6, 6, 2, 1, 10, 10, 2, 2, 2, 1, 2, 10, 10, 1, 10, 6, 2, 10, 6, 6, 6, 2, 6, 2, 6, 1, 10, 10, 5, 4, 10, 1, 10, 1, 6, 2, 6, 1, 10, 10, 1, 2, 1, 6, 2, 10, 6, 2, 6, 1, 1, 6, 10, 10, 6, 6, 1, 6, 10, 6, 2, 2, 2, 6, 1, 6, 6, 6, 2, 2, 6, 6, 1, 10, 1, 1, 6, 6, 1, 6, 1, 2, 2, 10, 1, 6, 2, 1, 2, 10, 1, 10, 1, 5, 1, 10, 6, 1, 10, 1, 2, 6, 6, 1, 2, 1, 6, 1, 2, 1, 10, 1, 1, 10, 2, 10, 5, 1, 6, 2, 6, 10, 2, 2, 1, 2, 1, 6, 2, 2, 6, 1, 9, 1, 1, 10, 10, 1, 10, 1, 10, 10, 1, 1, 2, 6, 9, 6, 2, 2, 2, 6, 2, 1, 2, 10, 10, 10, 2, 6, 1, 6, 2, 10, 6, 10, 6, 6, 10, 2, 1, 1, 2, 1, 6, 2, 6, 2, 6, 1, 10, 10, 6, 1, 1, 9, 2, 1, 1, 1, 6, 1, 6, 10, 10, 2, 6, 1, 1, 1, 1, 1, 2, 2, 6, 1, 10, 10, 1, 6, 2, 10, 1, 1, 2, 6, 2, 6, 6, 6, 1, 10, 1, 1, 6, 1, 6, 2, 10, 1, 6, 6, 6, 2, 6, 5, 10, 6, 1, 2, 10, 10, 1, 10, 10, 10, 1, 6, 2, 1, 10, 6, 6, 2, 2, 6, 6, 6, 10, 10, 6, 6, 2, 10, 6, 5, 2, 6, 6, 6, 6, 6, 6, 2, 2, 2, 10, 6, 1, 2, 1, 1, 2, 10, 6, 2, 2, 9, 1, 2, 2, 6, 10, 10, 2, 2, 1, 10, 1, 4, 1, 1, 2, 6, 10, 1, 1, 2, 2, 6, 10, 10, 1, 1, 6, 5, 10, 2, 6, 1, 2, 1, 6, 1, 6, 1, 2, 1, 1, 1, 10, 6, 1, 1, 10, 10, 2, 6, 6, 6, 2, 6, 1, 1, 10, 2, 10, 10, 6, 6, 2, 2, 2, 10, 9, 6, 6, 2, 2, 1, 10, 2, 1, 5, 6, 2, 1, 0, 10, 1, 6, 1, 2, 2, 9, 6, 1, 6, 6, 2, 10, 10, 6, 6, 2, 1, 6, 10, 2, 10, 10, 10, 2, 10, 1, 1, 1, 10, 6, 2, 2, 10, 10, 1, 6, 2, 1, 2, 10, 6, 1, 10, 2, 1, 2, 6, 2, 1, 2, 1, 1, 10, 6, 1, 2, 1, 1, 1, 2, 2, 1, 1, 6, 2, 6, 1, 2, 2, 1, 2, 1, 4, 10, 10, 1, 10, 2, 10, 2, 2, 2, 6, 10, 6, 2, 6, 2, 6, 10, 6, 10, 1, 10, 1, 6, 6, 1, 1, 1, 1, 6, 10, 10, 6, 5, 10, 10, 6, 1, 1, 1, 10, 1, 2, 10, 1, 2, 6, 6, 1, 2, 2, 6, 1, 2, 6, 6, 2, 10, 10, 10, 0, 1, 1, 10, 10, 10, 2, 2, 1, 1, 6, 10, 1, 10, 10, 2, 2, 1, 2, 6, 1, 10, 6, 10, 2, 10, 1, 1, 2, 10, 6, 6, 1, 10, 10, 10, 1, 2, 10, 2, 1, 1, 6, 1, 2, 2, 1, 6, 6, 10, 10, 10, 1, 6, 6, 10, 1, 1, 5, 6, 1, 9, 2, 1, 10, 6, 2, 1, 10, 9, 1, 9, 10, 10, 6, 6, 1, 1, 10, 1, 1, 6, 6, 6, 2, 2, 10, 6, 1, 6, 1, 2, 6, 6, 0, 9, 1, 10, 6, 1, 2, 6, 2, 6, 1, 6, 6, 10, 2, 2, 1, 10, 10, 10, 1, 2, 6, 0, 6, 2, 2, 10, 1, 10, 10, 6, 10, 2, 10, 10, 1, 1, 2, 6, 6, 1, 1, 10, 1, 2, 6, 10, 1, 5, 2, 1, 6, 1, 6, 10, 2, 2, 10, 1, 1, 2, 1, 10, 1, 1, 6, 1, 10, 2, 10, 1, 6, 6, 2, 10, 6, 2, 10, 2, 6, 1, 10, 1, 1, 1, 1, 50, 1, 10, 2, 1, 6, 10, 10, 2, 6, 2, 6, 10, 1, 6, 10, 10, 10, 2, 10, 6, 10, 1, 1, 2, 2, 10, 10, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 2, 10, 6, 1, 6, 6, 10, 6, 10, 10, 2, 1, 1, 1, 10, 2, 1, 1, 6, 2, 1, 2, 10, 10, 6, 6, 6, 10, 1, 10, 2, 1, 1, 6, 2, 6, 1, 6, 10, 1, 2, 2, 2, 10, 6, 2, 6, 2, 2, 6, 2, 6, 6, 1, 10, 6, 1, 1, 1, 2, 6, 10, 10, 10, 2, 10, 10, 1, 1, 2, 2, 10, 10, 2, 1, 6, 10, 10, 2, 2, 10, 2, 2, 2, 1, 10, 1, 1, 2, 1, 10, 6, 6, 6, 1, 2, 1, 6, 2, 6, 5, 1, 1, 2, 6, 6, 4, 2, 2, 1, 2, 10, 6, 6, 2, 6, 1, 2, 6, 1, 1, 2, 1, 6, 2, 6, 1, 6, 2, 2, 6, 2, 1, 6, 6, 1, 10, 6, 1, 6, 6, 10, 10, 10, 10, 1, 6, 1, 10, 1, 6, 6, 2, 10, 5, 6, 10, 2, 6, 10, 10, 2, 1, 6, 6, 1, 6, 10, 6, 1, 6, 10, 2, 1, 10, 2, 6, 2, 1, 2, 2, 6, 1, 1, 6, 10, 1, 1, 0, 2, 10, 1, 1, 10, 2, 2, 10, 1, 2, 6, 2, 6, 10, 6, 10, 6, 10, 2, 6, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 10, 1, 6, 10, 6, 2, 6, 10, 6, 2, 6, 1, 1, 1, 6, 1, 1, 10, 10, 10, 10, 10, 6, 6, 6, 9, 6, 2, 6, 6, 10, 6, 1, 10, 2, 1, 6, 1, 1, 1, 10, 2, 2, 1, 1, 10, 6, 2, 1, 2, 10, 10, 6, 2, 2, 6, 2, 1, 6, 1, 1, 6, 10, 2, 10, 1, 2, 6, 10, 2, 10, 2, 10, 2, 10, 10, 1, 10, 9, 6, 2, 2, 2, 6, 2, 1, 6, 10, 6, 6, 6, 9, 2, 2, 4, 1, 10, 2, 2, 10, 2, 10, 10, 1, 20, 10, 6, 2, 1, 4, 6, 2, 6, 2, 2, 10, 10, 6, 1, 2, 1, 2, 6, 1, 1, 1, 2, 2, 6, 10, 2, 2, 9, 1, 10, 2, 6, 2, 10, 10, 6, 10, 2, 6, 6, 6, 6, 6, 10, 6, 2, 10, 6, 1, 10, 1, 2, 1, 6, 6, 2, 1, 2, 2, 6, 6, 1, 2, 2, 1, 10, 1, 2, 2, 6, 1, 6, 6, 1, 1, 2, 10, 10, 10, 10, 10, 2, 2, 2, 2, 1, 1, 1, 6, 2, 1, 2, 10, 10, 10, 2, 6, 10, 6, 6, 10, 10, 1, 6, 10, 10, 6, 2, 6, 1, 6, 2, 10, 2, 10, 6, 5, 10, 10, 2, 10, 1, 6, 2, 10, 6, 1, 6, 2, 1, 4, 1, 10, 1, 10, 10, 2, 10, 10, 6, 10, 10, 2, 10, 2, 1, 10, 1, 1, 1, 6, 10, 9, 2, 6, 6, 2, 2, 1, 6, 10, 2, 1, 5, 6, 10, 1, 1, 10, 1, 1, 1, 2, 1, 6, 10, 10, 2, 2, 2, 0, 10, 1, 1, 6, 1, 10, 1, 2, 6, 2, 2, 6, 2, 9, 1, 1, 6, 1, 2, 10, 6, 2, 10, 2, 1, 9, 6, 10, 2, 10, 1, 10, 10, 2, 6, 10, 1, 1, 6, 2, 1, 2, 6, 1, 6, 10, 10, 6, 6, 2, 2, 2, 10, 1, 2, 10, 2, 10, 1, 1, 1, 6, 10, 10, 1, 2, 6, 2, 1, 10, 10, 10, 2, 2, 1, 6, 6, 10, 10, 1, 10, 1, 10, 10, 1, 1, 1, 0, 10, 10, 2, 1, 10, 2, 2, 10, 1, 6, 2, 2, 1, 1, 10, 10, 10, 2, 0, 0, 2, 6, 10, 1, 2, 5, 6, 10, 10, 0, 1, 2, 1, 6, 1, 1, 10, 10, 5, 6, 2, 10, 6, 6, 2, 10, 1, 2, 6, 1, 1, 1, 2, 6, 6, 1, 2, 1, 10, 1, 10, 10, 6, 1, 2, 1, 1, 6, 9, 2, 10, 6, 2, 2, 1, 2, 10, 6, 6, 2, 6, 1, 2, 6, 2, 1, 1, 2, 1, 9, 10, 6, 9, 1, 10, 10, 1, 10, 0, 1, 2, 1, 2, 1, 1, 1, 6, 10, 2, 6, 6, 10, 10, 10, 1, 6, 6, 10, 2, 1, 10, 1, 10, 2, 1, 1, 1, 2, 2, 2, 2, 1, 10, 2, 2, 10, 6, 1, 6, 10, 10, 6, 2, 10, 6, 1, 10, 6, 2, 6, 1, 3, 10, 2, 6, 6, 6, 1, 10, 10, 1, 2, 1, 10, 2, 2, 4, 2, 2, 2, 1, 2, 1, 6, 1, 1, 2, 1, 1, 6, 6, 10, 10, 10, 6, 9, 1, 2, 2, 1, 6, 2, 6, 2, 1, 1, 1, 10, 2, 2, 10, 10, 10, 2, 2, 1, 6, 1, 10, 2, 2, 10, 1, 6, 1, 2, 2, 10, 1, 2, 2, 6, 10, 2, 6, 1, 1, 1, 10, 2, 6, 6, 2, 2, 10, 6, 1, 1, 10, 1, 6, 2, 10, 6, 1, 2, 1, 2, 6, 2, 2, 2, 10, 1, 1, 10, 1, 4, 2, 1, 1, 9, 10, 6, 6, 2, 10, 6, 2, 6, 1, 1, 1, 1, 2, 6, 2, 10, 10, 1, 1, 10, 6, 6, 6, 2, 10, 6, 10, 6, 1, 2, 6, 2, 6, 2, 1, 1, 2, 10, 10, 1, 4, 2, 6, 1, 6, 2, 1, 1, 1, 6, 10, 6, 1, 6, 2, 6, 10, 10, 10, 10, 2, 2, 1, 1, 2, 2, 1, 10, 1, 1, 2, 2, 2, 6, 0, 6, 10, 6, 1, 6, 10, 2, 1, 10, 1, 10, 2, 6, 6, 6, 1, 1, 6, 2, 6, 10, 10, 6, 6, 6, 10, 1, 6, 6, 1, 1, 10, 1, 2, 10, 2, 2, 10, 1, 10, 1, 2, 6, 2, 1, 1, 6, 0, 1, 10, 1, 6, 10, 2, 6, 10, 1, 2, 2, 1, 10, 2, 2, 6, 60, 10, 6, 1, 10, 1, 1, 1, 10, 6, 2, 1, 10, 2, 2, 2, 10, 2, 1, 6, 10, 10, 6, 10, 10, 6, 2, 1, 2, 1, 6, 10, 6, 10, 1, 6, 6, 10, 10, 2, 10, 2, 6, 6, 1, 1, 6, 6, 10, 10, 2, 1, 6, 10, 10, 1, 6, 1, 2, 2, 1, 2, 2, 1, 1, 1, 10, 2, 4, 2, 6, 10, 10, 1, 1, 10, 2, 1, 6, 10, 2, 1, 1, 2, 1, 1, 9, 4, 6, 2, 10, 1, 6, 9, 1, 10, 2, 6, 2, 10, 6, 6, 6, 1, 10, 1, 2, 1, 1, 2, 2, 10, 6, 1, 6, 10, 1, 2, 10, 10, 10, 1, 2, 10, 6, 1, 1, 2, 6, 10, 1, 6, 2, 2, 10, 9, 6, 6, 2, 10, 6, 2, 10, 2, 6, 6, 10, 2, 1, 1, 6, 2, 6, 10, 1, 1, 6, 10, 1, 1, 2, 6, 2, 2, 2, 2, 6, 6, 1, 1, 6, 2, 1, 1, 10, 1, 6, 10, 10, 1, 10, 2, 1, 1, 1, 6, 1, 2, 4, 2, 6, 6, 1, 10, 1, 2, 10, 1, 1, 2, 6, 10, 1, 1, 6, 6, 10, 2, 1, 6, 2, 6, 1, 10, 2, 6, 2, 1, 10, 2, 6, 2, 1, 6, 10, 1, 10, 6, 10, 6, 2, 2, 10, 4, 6, 1, 1, 6, 6, 10, 10, 10, 1, 1, 10, 1, 2, 10, 2, 2, 10, 2, 2, 2, 6, 2, 1, 2, 2, 1, 10, 2, 6, 6, 6, 10, 1, 10, 6, 6, 2, 10, 1, 2, 10, 6, 6, 10, 5, 2, 2, 2, 10, 1, 6, 6, 2, 1, 6, 2, 2, 2, 6, 1, 6, 2, 1, 1, 6, 2, 10, 1, 2, 6, 10, 6, 2, 2, 1, 6, 2, 2, 2, 10, 4, 1, 1, 6, 1, 1, 10, 10, 6, 1, 10, 10, 1, 2, 6, 10, 2, 10, 2, 6, 6, 1, 6, 6, 1, 10, 1, 6, 1, 10, 0, 2, 2, 1, 1, 1, 2, 10, 10, 10, 1, 10, 2, 6, 10, 6, 1, 6, 6, 1, 6, 2, 1, 6, 1, 2, 6, 1, 2, 2, 6, 6, 1, 2, 6, 10, 1, 2, 1, 2, 9, 10, 2, 1, 10, 10, 1, 10, 1, 10, 1, 1, 10, 10, 2, 2, 6, 1, 10, 1, 10, 2, 2, 10, 10, 2, 6, 2, 10, 2, 6, 2, 2, 2, 6, 0, 1, 6, 1, 1, 2, 10, 6, 1, 4, 10, 9, 1, 2, 6, 1, 6, 1, 2, 10, 1, 1, 6, 2, 10, 2, 6, 10, 6, 10, 2, 2, 2, 2, 1, 1, 6, 1, 1, 2, 1, 10, 10, 1, 6, 10, 2, 6, 6, 2, 2, 2, 1, 1, 10, 6, 1, 10, 1, 6, 10, 4, 1, 1, 6, 10, 6, 1, 6, 6, 6, 2, 2, 6, 2, 2, 6, 1, 10, 6, 6, 1, 10, 6, 2, 1, 1, 1, 6, 6, 10, 1, 6, 10, 1, 2, 10, 1, 5, 1, 2, 1, 1, 6, 10, 1, 2, 1, 2, 2, 6, 1, 10, 1, 1, 6, 10, 10, 4, 2, 6, 10, 6, 2, 2, 10, 1, 2, 2, 10, 2, 1, 6, 1, 10, 6, 6, 10, 6, 6, 1, 10, 1, 10, 2, 2, 10, 6, 2, 2, 1, 2, 2, 6, 2, 6, 6, 2, 2, 10, 6, 10, 1, 2, 2, 10, 2, 10, 2, 10, 10, 2, 2, 0, 1, 1, 1, 2, 1, 6, 2, 6, 1, 5, 2, 2, 2, 2, 1, 10, 2, 2, 6, 6, 6, 2, 6, 6, 10, 1, 2, 6, 6, 1, 6, 6, 2, 10, 2, 2, 2, 1, 10, 10, 6, 5, 10, 10, 6, 1, 2, 10, 6, 2, 10, 1, 6, 2, 1, 6, 6, 2, 10, 2, 6, 1, 2, 6, 6, 6, 2, 1, 1, 10, 6, 6, 1, 6, 1, 6, 6, 6, 6, 6, 2, 10, 6, 2, 2, 6, 10, 10, 10, 2, 6, 2, 1, 2, 2, 2, 4, 2, 6, 1, 6, 6, 2, 6, 10, 10, 2, 10, 2, 10, 1, 10, 6, 10, 2, 10, 10, 6, 6, 1, 2, 10, 10, 10, 6, 6, 10, 2, 2, 2, 1, 1, 0, 1, 10, 2, 1, 1, 6, 6, 1, 2, 2, 6, 10, 10, 6, 10, 2, 6, 10, 2, 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6, 6, 1, 6, 2, 6, 10, 2, 1, 10, 2, 10, 10, 1, 10, 1, 1, 10, 10, 10, 2, 2, 6, 10, 6, 5, 6, 1, 10, 10, 6, 1, 1, 10, 6, 1, 10, 10, 6, 1, 6, 2, 2, 2, 0, 2, 2, 1, 1, 10, 1, 1, 1, 10, 2, 1, 1, 0, 10, 10, 2, 1, 6, 2, 2, 10, 10, 6, 6, 2, 6, 2, 10, 10, 2, 6, 1, 10, 2, 6, 1, 1, 2, 2, 10, 1, 2, 6, 1, 1, 10, 6, 1, 6, 1, 1, 1, 6, 10, 6, 1, 6, 1, 1, 1, 10, 6, 10, 6, 10, 1, 10, 10, 6, 6, 2, 1, 2, 2, 6, 2, 1, 6, 2, 10, 2, 6, 2, 2, 6, 1, 1, 2, 2, 6, 4, 1, 2, 10, 2, 10, 10, 10, 6, 6, 2, 2, 10, 6, 1, 10, 2, 6, 6, 1, 2, 2, 2, 2, 10, 6, 1, 1, 10, 10, 10, 1, 10, 6, 10, 1, 1, 1, 2, 1, 10, 10, 1, 2, 2, 1, 2, 10, 6, 6, 1, 2, 1, 1, 1, 6, 2, 10, 6, 10, 6, 6, 6, 1, 1, 6, 2, 6, 1, 1, 1, 1, 6, 10, 1, 10, 6, 6, 1, 2, 2, 10, 2, 6, 1, 2, 1, 1, 2, 10, 10, 6, 1, 6, 6, 1, 2, 6, 6, 2, 1, 6, 1, 2, 10, 1, 2, 4, 2, 1, 4, 1, 2, 1, 2, 10, 2, 6, 10, 9, 2, 1, 2, 10, 1, 10, 1, 4, 2, 2, 2, 10, 2, 10, 2, 1, 1, 6, 0, 1, 10, 2, 10, 0, 2, 10, 10, 6, 2, 1, 2, 1, 2, 6, 6, 6, 2, 1, 2, 10, 6, 1, 2, 6, 2, 6, 6, 10, 6, 2, 10, 6, 10, 6, 2, 2, 10, 1, 1, 1, 6, 1, 1, 0, 1, 10, 6, 6, 2, 2, 6, 2, 2, 10, 6, 1, 2, 6, 6, 1, 2, 1, 6, 2, 1, 1, 6, 2, 6, 1, 1, 2, 10, 6, 1, 6, 2, 1, 1, 1, 6, 6, 2, 2, 2, 2, 6, 10, 2, 2, 10, 2, 10, 2, 2, 6, 10, 10, 10, 1, 6, 10, 10, 6, 10, 10, 9, 10, 6, 10, 2, 6, 1, 10, 2, 2, 10, 2, 10, 10, 10, 10, 1, 10, 2, 6, 10, 1, 6, 2, 0, 10, 1, 1, 2, 2, 10, 6, 10, 6, 2, 6, 10, 1, 6, 2, 10, 6, 10, 10, 1, 6, 6, 2, 10, 1, 6, 10, 1, 10, 6, 10, 2, 2, 10, 6, 1, 10, 1, 1, 2, 6, 1, 6, 1, 6, 10, 2, 10, 10, 1, 10, 1, 10, 1, 5, 6, 10, 10, 6, 2, 6, 2, 6, 2, 10, 6, 10, 10, 6, 4, 2, 10, 6, 2, 6, 10, 10, 6, 1, 1, 6, 1, 1, 2, 1, 2, 2, 6, 6, 6, 2, 10, 1, 6, 6, 1, 2, 10, 2, 6, 6, 6, 10, 10, 4, 6, 10, 6, 10, 6, 6, 1, 1, 2, 1, 1, 2, 2, 2, 10, 1, 2, 6, 1, 6, 1, 10, 1, 10, 1, 1, 2, 10, 2, 1, 1, 2, 10, 6, 1, 1, 1, 6, 10, 1, 6, 6, 1, 10, 6, 1, 2, 1, 2, 10, 2, 6, 2, 2, 1, 6, 5, 1, 2, 1, 2, 6, 2, 1, 10, 6, 6, 2, 10, 6, 10, 2, 2, 2, 10, 10, 2, 10, 1, 10, 2, 10, 1, 2, 2, 6, 6, 6, 2, 2, 1, 2, 10, 6, 1, 10, 10, 2, 1, 6, 6, 2, 2, 10, 6, 1, 2, 1, 2, 2, 6, 2, 6, 10, 2, 10, 10, 10, 2, 10, 2, 1, 1, 2, 6, 10, 2, 6, 2, 1, 2, 6, 10, 2, 6, 2, 6, 2, 6, 1, 1, 5, 2, 2, 2, 10, 1, 2, 10, 6, 6, 1, 1, 6, 2, 1, 6, 6, 6, 1, 10, 2, 1, 1, 2, 10, 10, 1, 6, 2, 6, 10, 10, 10, 6, 10, 10, 2, 6, 10, 6, 2, 10, 1, 10, 6, 1, 2, 1, 2, 6, 1, 1, 6, 2, 2, 2, 10, 6, 1, 2, 1, 6, 2, 10, 10, 10, 6, 10, 1, 6, 1, 1, 1, 10, 6, 2, 1, 6, 6, 1, 2, 10, 6, 6, 1, 6, 10, 6, 6, 6, 2, 6, 6, 1, 2, 6, 10, 2, 6, 10, 6, 1, 10, 1, 6, 2, 2, 1, 1, 10, 2, 2, 6, 6, 9, 10, 9, 10, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 10, 6, 6, 2, 10, 2, 6, 1, 2, 6, 1, 6, 1, 4, 10, 2, 10, 6, 1, 2, 10, 2, 10, 1, 6, 1, 6, 6, 1, 6, 10, 10, 6, 6, 6, 2, 5, 6, 2, 2, 10, 1, 2, 2, 6, 50, 6, 2, 2, 6, 2, 5, 2, 10, 2, 1, 0, 1, 1, 10, 2, 1, 1, 10, 1, 1, 1, 6, 10, 1, 6, 2, 6, 10, 1, 1, 0, 10, 1, 1, 10, 2, 2, 1, 2, 6, 6, 1, 2, 2, 10, 10, 1, 10, 10, 6, 2, 2, 6, 10, 10, 10, 1, 2, 10, 10, 6, 2, 1, 10, 10, 1, 1, 10, 1, 1, 4, 2, 6, 6, 1, 1, 10, 6, 10, 2, 2, 2, 6, 2, 2, 1, 10, 1, 2, 1, 6, 2, 10, 2, 1, 6, 0, 10, 1, 6, 2, 1, 2, 2, 10, 2, 10, 6, 6, 10, 5, 6, 6, 2, 6, 10, 2, 2, 6, 10, 2, 10, 6, 10, 2, 1, 1, 1, 10, 2, 10, 1, 2, 6, 6, 10, 1, 4, 6, 6, 10, 1, 1, 9, 1, 1, 1, 6, 1, 6, 1, 1, 2, 6, 2, 6, 6, 1, 1, 2, 1, 1, 1, 2, 6, 6, 6, 1, 10, 2, 6, 2, 6, 5, 2, 6, 10, 1, 1, 10, 10, 10, 6, 10, 2, 10, 1, 10, 6, 1, 6, 6, 1, 10, 10, 1, 2, 2, 2, 10, 2, 2, 10, 6, 6, 2, 2, 2, 10, 6, 2, 2, 1, 6, 2, 10, 6, 2, 1, 1, 10, 2, 6, 10, 2, 10, 2, 1, 5, 10, 10, 5, 6, 2, 2, 10, 6, 10, 9, 2, 2, 10, 10, 1, 6, 1, 6, 10, 2, 6, 2, 1, 10, 2, 1, 1, 1, 10, 6, 10, 10, 6, 6, 6, 4, 10, 2, 1, 6, 2, 2, 10, 2, 1, 2, 1, 6, 6, 6, 6, 1, 2, 2, 1, 2, 1, 10, 6, 10, 10, 6, 6, 1, 6, 2, 6, 1, 1, 0, 2, 2, 2, 2, 1, 10, 10, 2, 1, 0, 1, 2, 10, 1, 6, 1, 6, 6, 2, 10, 10, 1, 1, 2, 1, 10, 6, 2, 6, 10, 10, 1, 10, 2, 10, 10, 6, 1, 6, 2, 2, 1, 2, 6, 10, 9, 1, 1, 1, 2, 2, 2, 1, 6, 1, 1, 2, 1, 6, 10, 1, 6, 10, 1, 2, 6, 2, 1, 10, 6, 2, 10, 6, 4, 6, 10, 1, 2, 2, 1, 1, 1, 10, 1, 1, 6, 10, 1, 2, 6, 6, 10, 6, 6, 2, 6, 6, 10, 10, 2, 2, 1, 10, 1, 2, 6, 1, 10, 2, 6, 10, 2, 10, 6, 6, 2, 1, 2, 1, 10, 1, 1, 1, 10, 10, 1, 1, 6, 10, 6, 1, 2, 6, 1, 10, 1, 10, 10, 6, 1, 6, 2, 10, 1, 6, 1, 1, 1, 10, 2, 2, 6, 10, 1, 2, 1, 1, 1, 6, 6, 2, 6, 1, 1, 6, 1, 2, 10, 6, 10, 10, 10, 1, 2, 2, 1, 1, 1, 6, 10, 10, 2, 10, 2, 10, 6, 10, 2, 10, 6, 10, 6, 2, 6, 6, 6, 6, 1, 10, 6, 6, 1, 1, 6, 2, 4, 0, 1, 10, 1, 2, 1, 6, 1, 2, 2, 2, 6, 6, 2, 10, 10, 10, 10, 6, 6, 1, 10, 1, 10, 1, 2, 2, 10, 2, 2, 6, 1, 6, 6, 5, 10, 6, 10, 6, 2, 1, 1, 6, 10, 1, 10, 6, 10, 10, 2, 1, 2, 1, 1, 2, 10, 1, 10, 1, 6, 1, 6, 6, 6, 2, 4, 1, 1, 1, 10, 1, 10, 6, 1, 10, 2, 2, 10, 1, 10, 1, 1, 1, 6, 10, 6, 10, 1, 10, 4, 10, 6, 10, 2, 6, 5, 6, 10, 2, 1, 6, 1, 6, 2, 6, 2, 1, 6, 1, 1, 6, 2, 1, 6, 1, 50, 10, 10, 2, 2, 1, 2, 2, 2, 2, 1, 1, 10, 2, 6, 1, 1, 2, 10, 6, 2, 2, 10, 2, 6, 10, 9, 10, 1, 6, 2, 10, 1, 2, 2, 1, 6, 2, 5, 6, 2, 6, 6, 6, 10, 2, 1, 1, 6, 6, 2, 10, 5, 2, 6, 10, 2, 6, 10, 6, 10, 10, 6, 10, 6, 6, 2, 6, 10, 6, 6, 6, 5, 2, 1, 6, 10, 10, 2, 6, 2, 6, 10, 2, 10, 6, 1, 6, 1, 1, 6, 1, 6, 10, 2, 2, 10, 6, 6, 10, 10, 6, 9, 6, 1, 6, 1, 10, 5, 6, 6, 6, 6, 1, 1, 10, 10, 2, 2, 6, 1, 2, 1, 2, 10, 2, 2, 1, 6, 1, 1, 6, 6, 10, 6, 2, 2, 6, 10, 10, 6, 10, 1, 10, 10, 2, 1, 6, 2, 10, 10, 10, 1, 6, 10, 10, 6, 10, 10, 10, 6, 10, 2, 6, 1, 2, 2, 2, 1, 10, 6, 2, 1, 1, 1, 2, 6, 6, 10, 1, 6, 6, 10, 2, 6, 10, 10, 6, 2, 6, 0, 2, 6, 3, 10, 2, 1, 10, 6, 1, 10, 1, 2, 1, 1, 6, 2, 5, 1, 1, 6, 4, 2, 6, 6, 10, 0, 10, 10, 1, 10, 9, 6, 10, 1, 6, 1, 1, 6, 1, 1, 1, 2, 2, 6, 2, 10, 2, 10, 2, 2, 6, 2, 10, 6, 6, 2, 2, 1, 2, 10, 1, 1, 1, 6, 5, 1, 6, 2, 6, 1, 10, 6, 1, 6, 6, 6, 1, 10, 1, 10, 10, 10, 1, 6, 10, 10, 1, 1, 2, 6, 2, 1, 1, 6, 6, 6, 10, 6, 10, 1, 10, 1, 6, 1, 3, 10, 2, 10, 2, 1, 10, 2, 10, 1, 2, 6, 1, 10, 2, 10, 6, 6, 2, 10, 6, 2, 6, 1, 2, 2, 10, 6, 6, 1, 10, 6, 10, 1, 10, 1, 2, 1, 2, 10, 2, 9, 2, 6, 6, 6, 10, 6, 1, 6, 10, 10, 6, 1, 6, 2, 2, 6, 2, 2, 1, 2, 6, 1, 9, 10, 10, 10, 10, 10, 10, 2, 1, 2, 10, 6, 6, 2, 2, 1, 1, 10, 2, 6, 6, 1, 4, 10, 1, 2, 10, 10, 1, 10, 6, 6, 10, 10, 2, 10, 2, 6, 1, 2, 1, 6, 6, 2, 6, 10, 1, 1, 2, 2, 10, 10, 1, 2, 6, 2, 10, 10, 6, 1, 10, 6, 2, 2, 10, 2, 2, 1, 6, 2, 10, 10, 6, 2, 2, 6, 2, 1, 10, 6, 6, 10, 6, 4, 1, 2, 6, 10, 0, 2, 2, 1, 10, 10, 1, 2, 2, 2, 1, 2, 6, 6, 2, 6, 6, 10, 6, 2, 1, 6, 2, 2, 10, 10, 1, 6, 2, 6, 2, 2, 6, 1, 6, 2, 10, 6, 10, 1, 10, 2, 2, 6, 2, 2, 1, 9, 2, 10, 6, 6, 2, 1, 6, 1, 2, 2, 1, 1, 6, 2, 6, 6, 10, 6, 6, 10, 1, 2, 10, 5, 6, 2, 1, 1, 1, 2, 6, 10, 6, 2, 2, 6, 6, 6, 2, 2, 1, 1, 1, 1, 6, 10, 6, 9, 2, 1, 10, 2, 2, 1, 1, 10, 6, 10, 6, 10, 2, 2, 2, 2, 1, 2, 6, 2, 6, 2, 1, 10, 1, 6, 1, 2, 9, 6, 10, 10, 6, 6, 6, 1, 10, 6, 6, 2, 2, 2, 6, 1, 2, 6, 1, 1, 1, 2, 10, 10, 2, 6, 10, 2, 1, 10, 1, 1, 2, 10, 2, 1, 10, 2, 1, 1, 1, 6, 10, 2, 6, 2, 2, 2, 2, 2, 6, 1, 2, 6, 2, 2, 10, 10, 1, 1, 1, 2, 10, 9, 6, 10, 1, 2, 5, 6, 1, 1, 1, 6, 10, 6, 1, 6, 6, 2, 6, 10, 1, 2, 10, 6, 2, 1, 1, 1, 40, 6, 2, 2, 6, 1, 10, 2, 1, 6, 6, 5, 10, 6, 1, 5, 2, 10, 2, 6, 5, 1, 10, 2, 1, 2, 6, 2, 6, 6, 10, 1, 10, 2, 1, 10, 6, 10, 6, 2, 10, 10, 1, 9, 1, 6, 6, 2, 6, 0, 6, 2, 10, 1, 2, 10, 10, 1, 6, 10, 1, 2, 1, 10, 6, 2, 2, 2, 10, 6, 10, 2, 0, 1, 10, 6, 2, 1, 6, 10, 6, 2, 5, 2, 10, 2, 6, 2, 10, 10, 10, 10, 1, 1, 10, 10, 1, 2, 2, 5, 2, 1, 6, 2, 6, 1, 2, 6, 2, 1, 6, 6, 2, 10, 1, 2, 2, 2, 10, 10, 6, 1, 6, 1, 10, 2, 6, 1, 10, 2, 6, 10, 6, 6, 10, 6, 1, 6, 2, 6, 6, 2, 10, 10, 10, 1, 6, 10, 2, 2, 2, 6, 1, 10, 2, 1, 10, 10, 10, 1, 10, 10, 10, 2, 1, 1, 10, 10, 1, 6, 2, 2, 10, 2, 6, 6, 4, 2, 10, 6, 2, 1, 1, 2, 6, 2, 10, 2, 2, 2, 2, 2, 1, 10, 1, 10, 1, 10, 6, 2, 6, 2, 1, 10, 6, 2, 6, 2, 10, 1, 10, 2, 10, 2, 10, 6, 2, 6, 1, 2, 1, 10, 6, 1, 2, 10, 10, 6, 1, 10, 10, 1, 1, 6, 6, 2, 6, 6, 2, 5, 2, 10, 6, 2, 10, 6, 1, 6, 6, 2, 2, 1, 10, 1, 2, 2, 1, 10, 1, 1, 10, 1, 10, 1, 1, 6, 2, 6, 6, 2, 1, 2, 1, 1, 1, 2, 2, 10, 1, 1, 10, 6, 2, 10, 6, 2, 10, 6, 6, 2, 2, 6, 2, 6, 1, 10, 1, 6, 6, 1, 6, 1, 1, 2, 10, 2, 2, 10, 2, 10, 2, 1, 10, 6, 2, 1, 1, 10, 2, 2, 0, 6, 2, 1, 6, 6, 10, 1, 10, 2, 6, 6, 2, 1, 10, 1, 2, 6, 2, 6, 6, 10, 2, 2, 2, 0, 10, 1, 1, 10, 1, 1, 2, 10, 10, 2, 2, 2, 6, 1, 2, 10, 2, 6, 10, 2, 2, 6, 1, 1, 10, 6, 6, 6, 10, 10, 6, 6, 10, 10, 6, 2, 6, 4, 2, 2, 1, 10, 5, 1, 2, 9, 10, 6, 1, 2, 2, 6, 6, 6, 2, 6, 6, 6, 2, 2, 1, 10, 1, 2, 6, 1, 10, 2, 2, 1, 10, 10, 10, 2, 6, 1, 2, 1, 2, 10, 1, 2, 2, 6, 4, 1, 2, 1, 2, 2, 1, 0, 10, 6, 6, 2, 1, 6, 6, 6, 6, 1, 6, 1, 10, 1, 10, 2, 2, 2, 2, 5, 6, 10, 10, 6, 6, 6, 6, 2, 10, 6, 1, 10, 2, 10, 10, 6, 1, 2, 6, 1, 1, 2, 10, 10, 1, 6, 2, 1, 6, 2, 2, 2, 10, 6, 9, 6, 1, 2, 1, 1, 10, 6, 6, 6, 6, 2, 10, 2, 1, 2, 6, 10, 10, 2, 2, 1, 6, 10, 1, 1, 2, 6, 1, 2, 2, 10, 6, 10, 2, 10, 2, 10, 6, 1, 6, 2, 0, 6, 6, 6, 2, 10, 2, 1, 6, 6, 10, 6, 2, 10, 2, 1, 1, 6, 6, 2, 2, 1, 6, 10, 1, 1, 0, 10, 10, 2, 2, 6, 1, 5, 6, 1, 1, 2, 2, 2, 10, 6, 6, 6, 6, 1, 1, 2, 10, 6, 10, 6, 2, 10, 6, 1, 2, 2, 6, 2, 2, 0, 2, 6, 6, 10, 1, 6, 10, 6, 2, 1, 10, 5, 1, 2, 6, 10, 6, 1, 2, 1, 6, 1, 6, 1, 6, 10, 2, 1, 10, 2, 10, 6, 6, 10, 10, 6, 2, 2, 6, 9, 10, 1, 6, 6, 2, 10, 10, 6, 4, 2, 6, 2, 1, 6, 2, 1, 6, 10, 2, 6, 6, 10, 6, 4, 1, 6, 10, 10, 1, 2, 6, 2, 2, 6, 6, 10, 1, 2, 6, 10, 6, 10, 2, 2, 2, 1, 6, 2, 2, 6, 1, 10, 2, 2, 10, 2, 1, 1, 10, 2, 6, 1, 1, 10, 10, 6, 6, 2, 10, 10, 6, 10, 6, 1, 10, 10, 1, 6, 1, 10, 2, 10, 10, 1, 2, 1, 10, 10, 6, 6, 10, 1, 10, 2, 1, 2, 10, 6, 1, 6, 2, 10, 10, 1, 1, 6, 10, 1, 6, 6, 6, 1, 6, 2, 6, 1, 6, 1, 2, 1, 1, 6, 6, 1, 10, 6, 2, 10, 10, 1, 1, 6, 1, 1, 2, 2, 1, 2, 2, 2, 6, 1, 2, 1, 2, 10, 1, 6, 5, 10, 2, 6, 10, 1, 2, 2, 10, 6, 1, 4, 6, 2, 6, 10, 1, 10, 2, 1, 1, 2, 1, 6, 2, 6, 1, 1, 6, 1, 10, 6, 2, 1, 2, 1, 6, 10, 1, 10, 1, 6, 2, 2, 1, 2, 1, 1, 1, 10, 2, 10, 1, 6, 6, 10, 2, 1, 2, 1, 6, 2, 2, 6, 1, 0, 4, 10, 10, 1, 6, 1, 5, 10, 10, 6, 0, 10, 0, 1, 6, 10, 1, 6, 6, 10, 10, 1, 1, 2, 10, 6, 2, 1, 10, 6, 6, 9, 10, 10, 10, 2, 6, 1, 1, 10, 1, 6, 1, 10, 2, 1, 2, 2, 1, 10, 1, 2, 1, 10, 6, 6, 2, 4, 10, 6, 6, 6, 6, 6, 9, 1, 1, 1, 10, 2, 2, 10, 1, 10, 10, 2, 2, 6, 2, 10, 6, 6, 1, 10, 2, 2, 10, 1, 10, 2, 6, 10, 10, 6, 2, 6, 1, 10, 6, 10, 1, 2, 10, 6, 10, 10, 6, 10, 1, 2, 10, 10, 2, 2, 1, 6, 6, 1, 2, 2, 2, 2, 10, 1, 10, 0, 6, 6, 1, 10, 1, 5, 10, 6, 10, 2, 2, 2, 2, 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10, 6, 10, 1, 2, 9, 10, 2, 10, 6, 2, 2, 2, 2, 2, 1, 10, 10, 2, 10, 10, 6, 1, 10, 1, 10, 10, 10, 1, 6, 2, 2, 1, 2, 2, 1, 6, 2, 9, 6, 1, 6, 6, 2, 6, 6, 1, 6, 2, 2, 2, 6, 6, 6, 1, 0, 10, 10, 10, 6, 2, 6, 1, 2, 6, 10, 2, 2, 6, 2, 10, 2, 6, 6, 10, 2, 1, 6, 1, 6, 6, 6, 6, 10, 6, 2, 2, 6, 2, 2, 6, 6, 2, 1, 6, 6, 2, 2, 10, 10, 10, 1, 1, 10, 6, 1, 1, 10, 10, 10, 6, 1, 10, 10, 1, 6, 1, 10, 6, 10, 2, 6, 6, 2, 2, 4, 1, 5, 1, 1, 10, 10, 6, 9, 2, 2, 1, 10, 6, 10, 2, 1, 10, 2, 2, 10, 9, 1, 10, 1, 2, 10, 6, 6, 2, 6, 10, 2, 2, 10, 6, 6, 0, 5, 0, 10, 10, 1, 2, 2, 2, 10, 10, 2, 2, 1, 2, 6, 1, 6, 2, 10, 1, 10, 0, 2, 6, 1, 2, 10, 10, 10, 1, 1, 6, 2, 6, 10, 2, 10, 10, 1, 4, 10, 6, 2, 6, 10, 10, 6, 1, 10, 1, 4, 2, 1, 10, 10, 10, 1, 10, 2, 10, 1, 5, 6, 10, 6, 2, 10, 10, 0, 10, 1, 10, 6, 10, 2, 2, 0, 10, 2, 10, 2, 10, 1, 10, 10, 6, 1, 9, 2, 10, 10, 10, 6, 10, 10, 6, 2, 6, 10, 2, 1, 6, 1, 2, 10, 1, 1, 2, 10, 10, 6, 5, 2, 4, 2, 6, 10, 1, 6, 10, 1, 1, 10, 10, 2, 2, 6, 2, 6, 6, 9, 10, 6, 2, 6, 2, 2, 10, 6, 10, 1, 6, 6, 10, 6, 6, 1, 1, 6, 10, 6, 1, 2, 1, 1, 10, 10, 2, 1, 2, 10, 6, 1, 1, 2, 6, 1, 6, 10, 2, 1, 4, 10, 2, 2, 6, 6, 6, 10, 6, 2, 1, 2, 2, 1, 2, 1, 10, 10, 10, 10, 2, 10, 2, 10, 6, 1, 6, 1, 1, 2, 2, 1, 2, 1, 1, 6, 10, 2, 2, 6, 2, 2, 1, 2, 1, 1, 6, 6, 1, 6, 6, 1, 2, 10, 2, 10, 2, 6, 10, 10, 1, 1, 10, 1, 6, 6, 6, 1, 1, 10, 0, 2, 1, 10, 1, 6, 2, 1, 1, 10, 1, 1, 2, 6, 6, 2, 10, 6, 6, 10, 1, 2, 2, 1, 2, 1, 2, 6, 6, 10, 1, 6, 6, 6, 10, 1, 6, 1, 0, 0, 9, 6, 6, 1, 10, 1, 10, 6, 1, 6, 2, 1, 2, 1, 2, 6, 1, 6, 2, 4, 1, 10, 6, 1, 10, 6, 10, 1, 1, 6, 10, 1, 2, 10, 6, 4, 2, 1, 10, 1, 1, 2, 10, 10, 2, 1, 10, 6, 1, 1, 2, 2, 1, 1, 10, 1, 1, 6, 2, 1, 10, 1, 4, 10, 10, 10, 10, 10, 2, 1, 6, 2, 6, 1, 10, 2, 10, 1, 6, 1, 2, 2, 6, 1, 1, 2, 2, 10, 10, 1, 10, 2, 10, 1, 2, 1, 6, 2, 5, 6, 6, 2, 4, 6, 10, 10, 6, 6, 2, 10, 2, 6, 1, 10, 1, 2, 1, 9, 6, 6, 2, 2, 6, 2, 1, 6, 10, 1, 6, 1, 2, 6, 2, 1, 1, 2, 6, 1, 6, 2, 1, 6, 1, 5, 2, 2, 10, 1, 2, 6, 6, 10, 10, 2, 1, 2, 10, 10, 2, 6, 6, 10, 6, 10, 6, 2, 6, 2, 6, 1, 1, 2, 6, 10, 6, 1, 10, 2, 2, 10, 2, 6, 6, 1, 6, 1, 2, 10, 10, 10, 1, 10, 6, 1, 1, 2, 6, 6, 10, 1, 4, 6, 1, 6, 1, 10, 2, 10, 1, 2, 10, 6, 1, 6, 2, 10, 10, 10, 10, 10, 6, 2, 1, 2, 5, 6, 6, 2, 1, 10, 6, 10, 6, 6, 6, 2, 10, 1, 10, 1, 6, 10, 1, 2, 6, 6, 1, 1, 2, 10, 2, 6, 1, 10, 10, 2, 2, 6, 1, 1, 10, 10, 2, 6, 6, 6, 2, 1, 2, 6, 1, 2, 1, 6, 1, 10, 6, 1, 6, 9, 6, 6, 2, 10, 1, 10, 6, 1, 2, 0, 6, 10, 6, 2, 6, 1, 1, 10, 1, 2, 6, 6, 1, 10, 10, 6, 2, 6, 2, 6, 1, 2, 2, 1, 10, 1, 6, 2, 2, 6, 1, 1, 6, 6, 6, 6, 2, 1, 2, 1, 6, 2, 10, 4, 6, 5, 6, 2, 6, 1, 1, 10, 6, 10, 1, 1, 6, 10, 6, 10, 2, 6, 6, 6, 10, 2, 6, 6, 1, 1, 2, 1, 2, 1, 1, 10, 10, 1, 10, 6, 1, 10, 4, 6, 2, 1, 1, 10, 10, 6, 2, 6, 2, 7, 1, 2, 10, 6, 10, 10, 6, 2, 6, 10, 6, 2, 6, 2, 10, 2, 10, 6, 10, 2, 2, 2, 6, 10, 10, 1, 1, 1, 6, 10, 2, 2, 10, 5, 10, 2, 10, 2, 1, 1, 6, 1, 2, 10, 1, 1, 6, 6, 2, 1, 10, 6, 10, 6, 6, 10, 1, 2, 2, 6, 1, 10, 6, 2, 6, 6, 1, 1, 2, 6, 10, 1, 10, 2, 1, 1, 1, 6, 6, 6, 2, 1, 6, 10, 2, 2, 10, 6, 1, 1, 10, 10, 6, 10, 1, 1, 2, 1, 1, 10, 10, 10, 1, 2, 6, 6, 1, 1, 10, 10, 2, 1, 1, 10, 2, 1, 1, 2, 1, 1, 1, 2, 2, 6, 1, 1, 6, 6, 1, 1, 6, 1, 1, 2, 1, 6, 10, 1, 2, 6, 6, 6, 2, 10, 1, 6, 10, 10, 6, 2, 10, 10, 6, 1, 10, 10, 10, 2, 1, 10, 6, 10, 2, 2, 1, 10, 2, 2, 10, 10, 2, 2, 2, 2, 10, 1, 6, 10, 10, 10, 6, 2, 2, 1, 6, 1, 6, 10, 0, 9, 10, 2, 2, 10, 1, 2, 2, 2, 1, 6, 5, 2, 1, 2, 6, 1, 2, 10, 6, 1, 6, 10, 9, 1, 2, 10, 2, 6, 10, 2, 10, 6, 6, 0, 2, 2, 10, 10, 2, 1, 1, 2, 10, 6, 1, 2, 2, 2, 6, 2, 2, 1, 1, 10, 2, 6, 6, 1, 5, 10, 1, 2, 1, 10, 10, 6, 1, 10, 1, 6, 10, 10, 10, 2, 10, 6, 2, 10, 10, 1, 6, 6, 1, 6, 1, 1, 6, 2, 10, 10, 2, 1, 10, 6, 6, 10, 10, 10, 10, 4, 6, 10, 6, 2, 10, 10, 1, 6, 10, 2, 2, 2, 2, 10, 10, 10, 1, 6, 4, 6, 6, 10, 10, 2, 10, 6, 6, 6, 10, 10, 1, 1, 10, 2, 6, 4, 2, 1, 2, 1, 2, 9, 6, 6, 2, 10, 10, 1, 1, 1, 6, 1, 2, 1, 10, 6, 2, 6, 10, 10, 10, 6, 6, 10, 1, 1, 10, 2, 6, 6, 2, 10, 1, 10, 6, 2, 2, 6, 10, 10, 10, 2, 2, 6, 1, 2, 1, 2, 2, 2, 10, 2, 1, 10, 10, 2, 2, 2, 1, 6, 1, 6, 2, 10, 1, 6, 4, 6, 6, 1, 2, 2, 1, 1, 2, 6, 6, 1, 10, 6, 1, 6, 2, 5, 1, 10, 2, 2, 2, 2, 10, 6, 6, 1, 2, 2, 2, 6, 2, 10, 6, 6, 1, 2, 1, 6, 10, 6, 1, 10, 10, 10, 6, 10, 10, 10, 6, 1, 2, 10, 2, 2, 1, 6, 6, 1, 6, 6, 6, 2, 6, 10, 6, 6, 2, 1, 6, 2, 6, 10, 6, 1, 10, 2, 10, 2, 1, 1, 2, 10, 6, 2, 1, 1, 1, 2, 1, 1, 6, 1, 2, 10, 6, 2, 1, 6, 2, 10, 2, 1, 1, 1, 6, 1, 5, 1, 2, 0, 1, 2, 9, 1, 10, 2, 2, 6, 2, 2, 6, 0, 6, 6, 10, 6, 10, 6, 6, 6, 10, 2, 10, 6, 1, 6, 2, 6, 10, 1, 2, 2, 9, 1, 10, 6, 6, 10, 2, 6, 1, 10, 2, 1, 6, 6, 10, 6, 6, 2, 1, 6, 1, 6, 2, 2, 2, 6, 10, 10, 10, 10, 10, 6, 1, 10, 2, 6, 6, 10, 1, 1, 1, 2, 10, 10, 5, 6, 6, 1, 1, 10, 6, 2, 6, 2, 0, 10, 1, 2, 10, 10, 6, 2, 2, 2, 1, 2, 10, 6, 2, 10, 1, 1, 6, 6, 1, 1, 10, 6, 10, 2, 1, 6, 10, 2, 1, 1, 6, 6, 10, 10, 6, 6, 2, 10, 6, 1, 1, 10, 1, 10, 6, 2, 6, 2, 2, 6, 1, 1, 6, 6, 2, 1, 6, 10, 1, 6, 2, 6, 1, 10, 1, 6, 10, 6, 2, 10, 2, 10, 6, 6, 10, 9, 2, 2, 6, 10, 1, 1, 6, 2, 1, 10, 6, 2, 6, 1, 10, 6, 1, 6, 1, 2, 2, 1, 2, 6, 1, 2, 10, 10, 6, 2, 1, 1, 6, 10, 2, 10, 6, 5, 0, 10, 1, 2, 2, 10, 6, 1, 10, 2, 10, 2, 2, 1, 1, 6, 2, 10, 2, 2, 2, 6, 2, 6, 2, 1, 1, 2, 6, 6, 6, 2, 10, 10, 2, 1, 2, 10, 6, 1, 2, 2, 10, 10, 10, 1, 2, 6, 1, 1, 1, 2, 1, 1, 10, 10, 0, 6, 6, 10, 6, 10, 1, 6, 1, 2, 2, 10, 2, 1, 2, 2, 2, 4, 10, 1, 10, 1, 6, 1, 6, 2, 2, 6, 2, 1, 6, 6, 6, 2, 2, 2, 1, 6, 10, 1, 6, 9, 10, 1, 2, 2, 10, 6, 6, 6, 10, 2, 10, 2, 10, 10, 1, 2, 1, 6, 5, 10, 1, 10, 2, 10, 2, 10, 6, 6, 10, 6, 6, 6, 2, 2, 2, 2, 6, 6, 1, 6, 1, 10, 10, 10, 10, 10, 1, 6, 1, 2, 2, 10, 10, 6, 2, 2, 2, 1, 2, 2, 2, 6, 1, 10, 10, 1, 6, 0, 6, 2, 10, 6, 10, 2, 2, 10, 10, 6, 10, 10, 2, 10, 10, 10, 6, 1, 2, 10, 10, 6, 1, 10, 1, 10, 10, 1, 1, 6, 1, 6, 10, 10, 6, 1, 2, 10, 2, 10, 2, 1, 10, 1, 1, 6, 10, 10, 10, 10, 10, 6, 2, 10, 6, 6, 6, 2, 1, 2, 1, 2, 2, 2, 2, 6, 1, 10, 10, 2, 2, 2, 6, 1, 10, 2, 10, 10, 10, 10, 2, 10, 6, 10, 2, 1, 6, 6, 10, 1, 10, 1, 6, 2, 2, 2, 2, 2, 10, 1, 10, 1, 1, 6, 6, 2, 6, 1, 2, 10, 2, 2, 1, 1, 1, 2, 10, 10, 1, 0, 1, 1, 2, 4, 2, 6, 2, 2, 1, 6, 10, 1, 10, 2, 10, 10, 2, 1, 2, 2, 2, 1, 1, 10, 1, 6, 2, 6, 2, 2, 1, 1, 2, 6, 1, 1, 10, 2, 1, 6, 6, 1, 6, 10, 9, 2, 2, 6, 10, 2, 1, 1, 6, 6, 2, 6, 2, 5, 10, 1, 6, 1, 10, 2, 1, 2, 1, 10, 6, 6, 1, 6, 6, 6, 10, 6, 2, 1, 10, 6, 2, 2, 1, 6, 6, 6, 6, 2, 2, 1, 10, 10, 1, 10, 10, 6, 10, 10, 2, 6, 10, 6, 1, 6, 6, 6, 2, 6, 2, 10, 1, 10, 2, 6, 5, 2, 2, 1, 2, 1, 2, 10, 2, 6, 6, 6, 1, 10, 2, 2, 9, 6, 1, 10, 6, 6, 1, 10, 6, 10, 2, 2, 1, 2, 2, 6, 10, 1, 2, 6, 1, 1, 6, 2, 1, 2, 10, 10, 2, 10, 10, 1, 1, 6, 1, 1, 2, 10, 2, 2, 10, 10, 10, 6, 1, 2, 6, 2, 6, 10, 6, 2, 1, 1, 1, 6, 10, 2, 1, 2, 1, 1, 6, 2, 10, 2, 1, 10, 2, 10, 6, 2, 6, 1, 6, 2, 10, 10, 10, 10, 6, 6, 2, 2, 6, 2, 10, 0, 10, 6, 1, 4, 10, 2, 10, 6, 2, 10, 6, 6, 10, 2, 6, 1, 1, 1, 2, 6, 1, 10, 1, 10, 6, 2, 10, 6, 1, 1, 1, 10, 2, 1, 4, 2, 1, 2, 10, 2, 6, 6, 4, 2, 10, 1, 2, 2, 1, 6, 10, 2, 10, 2, 6, 2, 10, 10, 1, 10, 10, 10, 6, 10, 6, 2, 2, 1, 2, 6, 2, 1, 2, 2, 1, 2, 6, 1, 10, 6, 2, 1, 2, 6, 10, 2, 6, 10, 1, 10, 2, 1, 1, 10, 2, 1, 6, 1, 10, 2, 2, 1, 6, 10, 10, 10, 2, 10, 10, 6, 2, 10, 1, 10, 6, 10, 1, 10, 10, 1, 6, 1, 1, 6, 6, 10, 2, 1, 2, 10, 2, 6, 10, 10, 2, 1, 1, 1, 0, 10, 10, 2, 6, 2, 4, 1, 10, 6, 1, 2, 10, 6, 2, 1, 6, 10, 2, 10, 6, 1, 6, 6, 2, 1, 10, 2, 2, 2, 2, 1, 6, 10, 10, 1, 2, 6, 10, 1, 6, 2, 6, 2, 10, 5, 10, 2, 10, 6, 6, 2, 10, 6, 2, 6, 2, 2, 10, 1, 2, 2, 1, 1, 2, 2, 6, 2, 6, 2, 1, 10, 2, 1, 2, 6, 10, 8, 10, 2, 1, 6, 6, 2, 6, 10, 6, 10, 2, 2, 1, 1, 10, 2, 10, 10, 0, 10, 2, 10, 1, 6, 1, 2, 10, 10, 1, 10, 10, 6, 6, 2, 2, 1, 2, 10, 1, 6, 10, 2, 10, 6, 10, 6, 1, 1, 1, 2, 1, 6, 2, 1, 1, 2, 10, 10, 2, 4, 9, 4, 1, 1, 6, 10, 10, 2, 10, 1, 10, 2, 6, 1, 6, 2, 2, 6, 2, 10, 0, 1, 10, 2, 10, 2, 6, 1, 10, 9, 2, 6, 10, 2, 6, 6, 6, 1, 10, 2, 2, 1, 2, 6, 10, 1, 2, 10, 6, 2, 6, 1, 6, 2, 2, 2, 2, 10, 6, 2, 10, 2, 10, 1, 10, 1, 1, 2, 1, 6, 10, 10, 1, 10, 6, 2, 1, 10, 10, 10, 2, 6, 2, 10, 1, 2, 6, 1, 2, 10, 6, 10, 6, 1, 1, 6, 1, 1, 1, 1, 2, 1, 2, 1, 1, 6, 6, 1, 1, 2, 2, 10, 6, 6, 1, 6, 2, 10, 1, 1, 6, 1, 6, 6, 6, 6, 10, 6, 6, 6, 10, 2, 1, 4, 1, 1, 6, 2, 6, 6, 2, 2, 10, 6, 2, 1, 1, 6, 1, 2, 2, 10, 6, 6, 1, 2, 6, 6, 6, 10, 6, 6, 6, 6, 1, 2, 10, 9, 1, 6, 2, 2, 2, 6, 2, 1, 6, 10, 6, 6, 10, 6, 1, 2, 10, 10, 10, 6, 2, 10, 10, 10, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 6, 1, 2, 6, 10, 1, 1, 10, 2, 1, 2, 10, 6, 6, 10, 6, 10, 2, 1, 6, 1, 2, 6, 10, 10, 1, 1, 2, 2, 6, 2, 1, 10, 6, 6, 6, 6, 10, 6, 2, 1, 1, 1, 2, 1, 10, 2, 6, 10, 2, 1, 10, 2, 2, 2, 10, 2, 2, 6, 10, 1, 1, 6, 10, 1, 10, 2, 1, 6, 10, 6, 10, 2, 6, 10, 6, 6, 5, 1, 1, 6, 6, 2, 2, 1, 2, 10, 10, 1, 1, 6, 5, 6, 2, 1, 1, 6, 10, 9, 10, 6, 1, 10, 1, 6, 6, 10, 2, 6, 6, 10, 1, 1, 6, 10, 1, 6, 2, 1, 2, 6, 10, 6, 1, 1, 2, 6, 1, 9, 6, 10, 2, 1, 6, 6, 10, 2, 6, 9, 10, 1, 6, 2, 1, 10, 10, 2, 10, 6, 6, 1, 2, 2, 2, 6, 6, 2, 2, 2, 2, 10, 1, 6, 2, 1, 6, 2, 2, 6, 1, 6, 2, 2, 1, 1, 9, 6, 6, 2, 6, 6, 6, 2, 10, 6, 1, 1, 6, 10, 6, 6, 2, 6, 6, 6, 1, 1, 1, 1, 10, 1, 2, 6, 10, 10, 6, 10, 1, 10, 2, 10, 2, 6, 2, 6, 1, 1, 1, 10, 10, 10, 6, 9, 2, 2, 6, 10, 2, 2, 2, 10, 6, 6, 2, 9, 6, 1, 10, 6, 6, 6, 1, 10, 1, 1, 1, 6, 1, 1, 2, 6, 1, 10, 0, 2, 2, 6, 2, 2, 2, 10, 10, 6, 5, 6, 6, 10, 2, 10, 1, 6, 6, 10, 1, 2, 2, 2, 6, 1, 6, 2, 10, 5, 9, 1, 1, 4, 6, 5, 2, 10, 10, 10, 2, 1, 1, 1, 6, 10, 10, 1, 2, 6, 10, 6, 1, 2, 2, 2, 10, 2, 10, 6, 6, 10, 2, 1, 10, 6, 6, 6, 6, 2, 1, 1, 1, 2, 0, 1, 6, 10, 2, 1, 2, 1, 2, 1, 6, 2, 1, 6, 2, 2, 10, 1, 6, 2, 1, 10, 2, 2, 1, 4, 1, 2, 2, 10, 1, 10, 6, 1, 1, 6, 6, 10, 10, 10, 1, 2, 10, 1, 10, 1, 6, 2, 1, 10, 6, 1, 1, 2, 1, 6, 2, 10, 6, 10, 0, 1, 1, 10, 6, 1, 1, 1, 2, 2, 6, 2, 2, 1, 10, 2, 10, 10, 1, 10, 1, 10, 2, 10, 2, 6, 2, 4, 10, 6, 6, 10, 10, 10, 6, 10, 10, 1, 10, 1, 6, 10, 1, 2, 10, 6, 6, 1, 6, 1, 2, 1, 10, 2, 6, 1, 2, 10, 10, 6, 10, 2, 2, 6, 6, 6, 6, 9, 1, 1, 1, 2, 2, 10, 10, 6, 6, 10, 1, 1, 10, 10, 2, 10, 2, 6, 1, 10, 10, 2, 2, 2, 2, 10, 10, 10, 2, 6, 2, 1, 1, 6, 6, 2, 10, 1, 1, 6, 10, 1, 10, 6, 1, 6, 2, 10, 6, 10, 2, 1, 2, 6, 6, 6, 2, 6, 1, 6, 10, 2, 6, 6, 1, 10, 10, 1, 2, 2, 6, 6, 2, 1, 1, 2, 2, 1, 2, 10, 10, 10, 6, 10, 4, 6, 1, 10, 1, 1, 2, 10, 10, 1, 10, 10, 6, 10, 1, 2, 6, 2, 6, 1, 6, 6, 10, 6, 10, 1, 6, 6, 6, 6, 6, 5, 2, 1, 6, 1, 1, 2, 2, 2, 1, 6, 10, 2, 2, 2, 1, 1, 10, 10, 1, 6, 0, 6, 6, 10, 10, 10, 2, 2, 2, 1, 1, 1, 6, 1, 4, 1, 10, 1, 2, 10, 10, 10, 1, 1, 2, 2, 1, 1, 1, 6, 6, 6, 6, 2, 1, 10, 2, 2, 2, 4, 6, 10, 10, 2, 2, 10, 10, 1, 9, 1, 6, 6, 6, 1, 2, 1, 2, 2, 10, 2, 2, 1, 10, 6, 1, 1, 2, 10, 2, 2, 1, 10, 2, 10, 10, 10, 2, 6, 0, 6, 2, 10, 10, 1, 10, 5, 6, 1, 1, 6, 2, 2, 1, 2, 6, 2, 10, 6, 1, 1, 2, 2, 10, 6, 1, 10, 1, 1, 10, 10, 1, 6, 6, 6, 2, 2, 6, 10, 6, 2, 1, 2, 2, 10, 2, 1, 2, 1, 10, 6, 2, 10, 1, 5, 6, 2, 10, 1, 2, 2, 10, 10, 2, 2, 1, 6, 6, 1, 1, 1, 6, 4, 6, 2, 6, 2, 1, 6, 2, 10, 6, 10, 1, 10, 10, 2, 2, 1, 1, 6, 2, 1, 1, 10, 10, 6, 1, 2, 2, 10, 40, 10, 1, 1, 2, 6, 1, 2, 6, 6, 1, 10, 6, 10, 2, 2, 0, 10, 2, 2, 2, 1, 2, 2, 2, 6, 2, 2, 6, 2, 10, 2, 6, 2, 9, 10, 2, 6, 1, 2, 2, 6, 2, 2, 10, 1, 2, 10, 2, 2, 10, 1, 1, 2, 10, 0, 2, 1, 2, 6, 10, 6, 9, 10, 6, 6, 6, 1, 6, 10, 10, 2, 2, 2, 10, 1, 6, 10, 6, 6, 2, 1, 1, 10, 10, 10, 1, 5, 6, 10, 6, 10, 6, 10, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 10, 6, 6, 1, 10, 1, 1, 1, 1, 2, 6, 1, 10, 10, 1, 1, 6, 2, 6, 10, 10, 5, 1, 6, 10, 0, 4, 4, 10, 5, 10, 10, 1, 10, 1, 2, 2, 10, 1, 10, 10, 10, 10, 10, 2, 1, 2, 5, 2, 10, 6, 10, 10, 10, 1, 1, 2, 10, 10, 2, 1, 6, 10, 6, 4, 6, 10, 2, 1, 6, 2, 10, 2, 10, 10, 10, 10, 10, 1, 10, 6, 1, 2, 2, 2, 9, 1, 1, 2, 2, 6, 4, 2, 1, 2, 10, 2, 10, 6, 1, 6, 2, 1, 6, 10, 6, 1, 1, 1, 4, 10, 10, 9, 1, 1, 2, 10, 10, 10, 2, 2, 1, 2, 6, 6, 10, 10, 2, 6, 2, 10, 1, 2, 1, 1, 1, 1, 6, 1, 10, 2, 6, 10, 10, 10, 4, 2, 1, 10, 1, 1, 6, 1, 2, 1, 6, 6, 2, 6, 2, 6, 10, 10, 1, 6, 2, 6, 6, 10, 10, 2, 1, 1, 10, 1, 5, 1, 2, 1, 6, 2, 6, 1, 10, 6, 1, 10, 10, 6, 10, 10, 1, 1, 1, 6, 2, 6, 2, 2, 1, 10, 10, 10, 2, 6, 6, 2, 1, 10, 4, 10, 10, 1, 1, 10, 1, 6, 6, 1, 2, 1, 6, 2, 1, 2, 2, 6, 10, 6, 2, 6, 9, 6, 1, 6, 1, 10, 10, 2, 6, 10, 10, 6, 6, 2, 10, 2, 1, 6, 1, 0, 2, 10, 1, 2, 1, 2, 2, 1, 2, 2, 2, 6, 1, 10, 1, 2, 1, 1, 2, 6, 1, 6, 6, 6, 6, 10, 10, 6, 2, 10, 1, 1, 10, 6, 2, 2, 6, 2, 1, 6, 10, 6, 6, 1, 2, 6, 1, 6, 6, 1, 6, 10, 1, 6, 2, 10, 2, 10, 1, 10, 1, 1, 2, 6, 6, 2, 6, 10, 10, 6, 1, 10, 6, 6, 6, 6, 10, 1, 1, 10, 1, 1, 6, 2, 9, 10, 2, 2, 1, 1, 6, 1, 1, 10, 1, 2, 2, 1, 2, 2, 10, 10, 2, 1, 10, 2, 10, 1, 10, 6, 1, 10, 10, 2, 1, 2, 6, 2, 6, 2, 6, 6, 6, 2, 1, 10, 6, 2, 6, 1, 2, 6, 2, 10, 2, 6, 10, 2, 6, 10, 6, 6, 2, 2, 6, 6, 6, 1, 10, 2, 10, 2, 6, 10, 10, 2, 2, 2, 1, 2, 10, 1, 2, 10, 2, 2, 10, 6, 2, 1, 10, 10, 6, 10, 2, 6, 5, 1, 6, 10, 1, 10, 6, 6, 2, 2, 10, 2, 1, 6, 2, 10, 1, 2, 1, 2, 6, 1, 2, 1, 1, 10, 6, 10, 10, 6, 6, 1, 6, 10, 10, 2, 10, 6, 6, 10, 2, 1, 10, 6, 10, 2, 6, 6, 2, 6, 2, 6, 1, 10, 10, 2, 1, 2, 2, 2, 6, 6, 1, 10, 1, 1, 2, 6, 6, 1, 1, 6, 10, 1, 2, 2, 2, 1, 2, 10, 6, 10, 6, 10, 10, 10, 10, 6, 10, 10, 10, 10, 2, 2, 10, 1, 2, 2, 2, 2, 6, 1, 6, 0, 6, 2, 10, 2, 6, 2, 2, 1, 10, 6, 4, 2, 10, 2, 2, 10, 6, 10, 9, 1, 6, 1, 6, 10, 10, 1, 2, 1, 10, 2, 10, 1, 1, 2, 6, 2, 10, 2, 10, 10, 1, 2, 2, 10, 10, 10, 2, 2, 1, 10, 10, 9, 10, 6, 4, 6, 10, 9, 1, 4, 10, 2, 10, 6, 0, 10, 2, 6, 6, 1, 1, 10, 10, 6, 1, 6, 2, 2, 1, 2, 2, 1, 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6, 1, 6, 2, 6, 10, 2, 6, 1, 6, 6, 10, 10, 10, 6, 2, 10, 2, 2, 10, 2, 10, 1, 10, 1, 10, 2, 10, 10, 10, 2, 4, 10, 10, 2, 1, 6, 10, 1, 6, 10, 10, 2, 1, 10, 10, 2, 2, 10, 1, 1, 1, 6, 6, 1, 6, 2, 10, 2, 6, 1, 6, 10, 6, 6, 6, 6, 6, 6, 10, 1, 6, 2, 1, 1, 10, 1, 1, 1, 1, 2, 10, 2, 1, 6, 10, 10, 1, 6, 2, 2, 6, 1, 6, 1, 6, 6, 1, 10, 10, 10, 1, 10, 10, 1, 10, 6, 6, 10, 10, 2, 2, 10, 6, 2, 6, 5, 1, 1, 6, 6, 10, 2, 1, 10, 6, 1, 1, 1, 1, 10, 4, 6, 1, 10, 1, 10, 2, 2, 6, 10, 2, 2, 6, 1, 0, 1, 10, 6, 10, 2, 2, 1, 2, 1, 6, 10, 2, 1, 2, 6, 1, 1, 10, 6, 10, 6, 6, 10, 2, 1, 6, 10, 10, 10, 6, 1, 2, 6, 10, 9, 6, 6, 2, 5, 6, 10, 2, 6, 1, 2, 1, 2, 6, 6, 1, 10, 10, 1, 1, 2, 10, 1, 6, 2, 1, 1, 1, 6, 1, 2, 6, 6, 1, 10, 1, 10, 1, 10, 2, 2, 10, 6, 1, 6, 1, 1, 2, 2, 10, 1, 10, 1, 6, 10, 6, 2, 2, 1, 10, 10, 10, 10, 1, 10, 2, 10, 6, 1, 2, 6, 6, 9, 2, 2, 10, 1, 1, 1, 2, 6, 2, 6, 10, 10, 6, 10, 6, 6, 10, 1, 6, 6, 2, 6, 10, 6, 2, 6, 10, 6, 1, 1, 2, 10, 10, 10, 10, 10, 2, 10, 1, 1, 0, 10, 2, 6, 10, 6, 1, 10, 2, 10, 2, 0, 10, 1, 10, 10, 1, 6, 10, 2, 10, 6, 6, 2, 6, 2, 1, 1, 1, 6, 1, 6, 10, 2, 6, 1, 6, 10, 10, 1, 10, 10, 2, 10, 1, 2, 2, 6, 6, 6, 2, 6, 2, 2, 2, 10, 6, 6, 6, 1, 1, 10, 2, 2, 1, 6, 1, 6, 2, 0, 1, 6, 6, 1, 6, 2, 6, 1, 6, 6, 2, 10, 2, 10, 10, 1, 6, 6, 6, 10, 6, 1, 6, 6, 6, 6, 10, 2, 2, 2, 1, 6, 10, 1, 10, 6, 1, 2, 10, 1, 10, 10, 6, 10, 2, 10, 1, 2, 10, 2, 2, 10, 1, 6, 2, 6, 1, 6, 10, 1, 10, 6, 6, 1, 10, 2, 2, 6, 6, 6, 6, 6, 2, 10, 1, 6, 10, 2, 6, 1, 6, 60, 1, 6, 2, 1, 10, 6, 1, 2, 10, 10, 6, 6, 1, 2, 2, 6, 6, 6, 10, 6, 1, 2, 6, 6, 2, 10, 1, 6, 10, 2, 10, 10, 1, 2, 2, 2, 2, 6, 2, 10, 1, 1, 1, 1, 6, 0, 1, 10, 1, 6, 10, 10, 1, 10, 10, 10, 2, 6, 1, 2, 2, 10, 6, 4, 10, 10, 6, 1, 10, 4, 6, 6, 1, 2, 1, 6, 1, 10, 2, 2, 2, 6, 6, 1, 10, 1, 1, 6, 4, 1, 2, 1, 10, 6, 9, 2, 2, 1, 6, 10, 6, 6, 6, 2, 6, 1, 6, 10, 6, 1, 2, 10, 2, 6, 10, 10, 1, 2, 10, 2, 10, 2, 10, 1, 6, 1, 10, 2, 1, 10, 6, 10, 1, 1, 6, 10, 10, 1, 6, 10, 10, 2, 10, 6, 2, 2, 6, 6, 2, 10, 6, 10, 10, 6, 10, 2, 6, 2, 6, 2, 6, 2, 10, 6, 6, 6, 6, 10, 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6, 2, 2, 1, 10, 5, 6, 1, 10, 6, 2, 6, 6, 2, 2, 6, 6, 2, 10, 6, 2, 2, 10, 2, 6, 2, 2, 2, 6, 2, 10, 10, 2, 1, 2, 6, 10, 6, 6, 2, 2, 10, 10, 6, 2, 1, 1, 2, 10, 6, 6, 1, 1, 10, 1, 6, 10, 1, 6, 5, 6, 10, 10, 6, 10, 1, 6, 1, 10, 6, 6, 2, 2, 2, 10, 6, 1, 6, 2, 1, 1, 5, 6, 1, 1, 10, 10, 10, 6, 1, 1, 6, 6, 10, 6, 6, 1, 2, 1, 1, 6, 10, 0, 9, 2, 9, 1, 1, 2, 1, 1, 2, 1, 10, 1, 2, 1, 2, 6, 6, 6, 10, 1, 6, 10, 2, 1, 10, 1, 2, 10, 10, 2, 6, 2, 2, 2, 1, 6, 6, 1, 10, 6, 0, 2, 10, 1, 10, 10, 1, 10, 10, 2, 2, 2, 2, 10, 10, 6, 1, 6, 6, 10, 1, 10, 10, 2, 6, 10, 2, 10, 10, 1, 2, 2, 10, 1, 10, 10, 10, 6, 6, 1, 10, 6, 2, 4, 6, 1, 2, 1, 6, 6, 2, 6, 5, 6, 1, 1, 6, 2, 1, 10, 1, 1, 2, 2, 6, 1, 2, 6, 10, 10, 2, 2, 6, 10, 2, 6, 10, 10, 6, 10, 10, 1, 10, 2, 6, 10, 10, 2, 10, 6, 2, 6, 10, 6, 2, 6, 10, 10, 6, 1, 6, 10, 2, 10, 10, 2, 1, 1, 2, 1, 10, 1, 6, 10, 1, 2, 10, 1, 1, 6, 1, 1, 2, 1, 1, 2, 6, 1, 6, 6, 10, 1, 6, 6, 10, 10, 1, 2, 1, 6, 1, 10, 1, 2, 6, 6, 6, 0, 10, 10, 6, 2, 1, 10, 2, 6, 6, 6, 6, 6, 10, 6, 10, 1, 10, 10, 2, 2, 6, 1, 10, 1, 10, 10, 6, 6, 2, 6, 10, 10, 1, 1, 10, 10, 6, 6, 1, 6, 6, 10, 10, 1, 6, 10, 6, 2, 10, 2, 1, 2, 2, 10, 2, 6, 1, 6, 2, 10, 9, 2, 6, 2, 2, 6, 1, 10, 1, 6, 6, 0, 6, 1, 10, 6, 10, 2, 6, 10, 2, 1, 1, 10, 6, 2, 2, 10, 2, 10, 6, 6, 6, 2, 2, 10, 2, 10, 2, 10, 2, 6, 2, 1, 1, 10, 6, 10, 10, 6, 10, 1, 2, 1, 2, 1, 2, 2, 10, 1, 2, 10, 6, 6, 6, 0, 6, 2, 10, 1, 2, 10, 10, 4, 1, 6, 10, 6, 6, 1, 10, 1, 2, 6, 10, 1, 2, 1, 4, 6, 6, 2, 10, 10, 1, 1, 2, 2, 6, 2, 2, 1, 10, 10, 10, 1, 6, 6, 2, 2, 2, 10, 2, 10, 6, 6, 6, 10, 1, 2, 10, 0, 10, 10, 10, 2, 10, 2, 6, 6, 1, 1, 2, 10, 1, 1, 1, 1, 10, 10, 6, 10, 6, 1, 6, 1, 10, 1, 2, 10, 1, 6, 1, 2, 1, 6, 1, 10, 6, 1, 1, 2, 6, 2, 2, 1, 6, 1, 2, 2, 1, 2, 2, 1, 10, 1, 2, 6, 1, 10, 2, 6, 1, 2, 6, 2, 2, 2, 10, 1, 1, 2, 6, 6, 6, 10, 6, 1, 1, 6, 10, 1, 1, 6, 10, 10, 1, 1, 6, 10, 2, 2, 6, 6, 6, 1, 6, 2, 10, 2, 6, 1, 6, 6, 1, 10, 6, 1, 10, 9, 2, 6, 6, 10, 1, 0, 1, 6, 10, 1, 10, 6, 6, 1, 1, 2, 6, 10, 2, 6, 2, 2, 1, 9, 0, 1, 2, 1, 6, 10, 10, 6, 1, 2, 2, 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2, 1, 2, 6, 2, 2, 1, 2, 2, 2, 10, 1, 10, 6, 6, 10, 10, 0, 2, 6, 2, 10, 2, 9, 2, 10, 10, 9, 10, 2, 6, 10, 2, 10, 10, 1, 10, 2, 1, 1, 10, 1, 1, 2, 10, 1, 10, 6, 10, 6, 10, 6, 2, 1, 1, 2, 6, 1, 1, 10, 10, 10, 2, 6, 2, 1, 2, 10, 2, 1, 2, 1, 10, 2, 10, 2, 6, 10, 10, 1, 1, 1, 6, 1, 2, 2, 6, 10, 1, 1, 2, 5, 6, 6, 10, 1, 2, 10, 10, 1, 1, 1, 1, 1, 10, 1, 6, 1, 10, 2, 1, 2, 1, 1, 2, 2, 10, 6, 1, 10, 1, 6, 1, 1, 6, 2, 1, 10, 6, 10, 6, 1, 1, 6, 1, 1, 2, 2, 6, 6, 1, 10, 10, 2, 1, 2, 1, 1, 2, 6, 1, 6, 2, 10, 1, 2, 1, 1, 2, 6, 0, 2, 6, 1, 1, 1, 6, 2, 2, 6, 6, 2, 6, 6, 6, 2, 6, 10, 10, 10, 6, 10, 2, 5, 10, 2, 9, 6, 1, 2, 10, 10, 2, 10, 10, 1, 6, 10, 2, 10, 10, 10, 2, 10, 1, 10, 6, 1, 6, 2, 6, 2, 4, 1, 10, 2, 10, 10, 6, 1, 2, 6, 10, 10, 1, 10, 2, 2, 6, 10, 2, 1, 2, 1, 6, 6, 2, 2, 6, 6, 6, 10, 6, 6, 2, 6, 2, 6, 6, 2, 6, 1, 1, 2, 10, 1, 0, 10, 10, 10, 2, 4, 6, 2, 10, 2, 1, 1, 2, 6, 1, 6, 2, 6, 1, 2, 1, 2, 10, 1, 6, 1, 1, 1, 1, 2, 6, 10, 6, 6, 10, 6, 6, 5, 2, 2, 6, 10, 6, 2, 2, 2, 1, 10, 6, 6, 1, 10, 6, 1, 2, 6, 10, 1, 6, 10, 2, 10, 2, 2, 10, 10, 2, 1, 2, 2, 10, 10, 10, 2, 10, 6, 1, 6, 6, 2, 6, 1, 6, 6, 10, 10, 10, 2, 10, 6, 2, 10, 6, 6, 2, 2, 1, 2, 1, 2, 5, 6, 6, 2, 1, 1, 2, 10, 2, 10, 2, 10, 10, 10, 10, 2, 6, 1, 10, 1, 6, 2, 6, 1, 1, 2, 10, 2, 10, 10, 10, 10, 10, 6, 1, 6, 2, 6, 1, 2, 6, 6, 1, 6, 10, 1, 1, 10, 2, 1, 10, 6, 6, 10, 10, 10, 6, 10, 6, 2, 40, 6, 1, 2, 1, 10, 1, 10, 10, 10, 2, 10, 1, 1, 1, 1, 6, 10, 6, 6, 6, 1, 6, 6, 6, 10, 2, 2, 10, 2, 1, 1, 2, 2, 10, 6, 6, 6, 1, 10, 2, 6, 6, 2, 6, 2, 2, 2, 1, 2, 10, 10, 1, 6, 6, 6, 1, 2, 2, 10, 6, 6, 6, 6, 10, 2, 2, 2, 1, 10, 1, 2, 6, 6, 10, 1, 10, 1, 10, 6, 2, 1, 1, 6, 2, 6, 1, 2, 1, 6, 2, 6, 1, 6, 1, 1, 2, 1, 10, 1, 6, 2, 2, 2, 1, 10, 6, 2, 1, 2, 1, 10, 10, 6, 2, 2, 2, 6, 9, 10, 1, 10, 1, 6, 0, 2, 1, 2, 10, 10, 6, 10, 2, 1, 10, 2, 9, 2, 1, 1, 1, 10, 1, 2, 2, 2, 2, 6, 10, 1, 6, 1, 2, 6, 6, 2, 10, 2, 2, 2, 2, 2, 9, 6, 10, 10, 2, 2, 1, 6, 10, 6, 6, 1, 2, 1, 2, 2, 2, 2, 6, 2, 10, 2, 6, 10, 10, 6, 10, 10, 10, 6, 2, 1, 2, 6, 6, 1, 6, 10, 2, 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10, 2, 10, 10, 1, 10, 6, 2, 10, 10, 6, 6, 6, 6, 2, 10, 1, 1, 1, 1, 9, 10, 2, 6, 6, 6, 4, 10, 6, 2, 10, 1, 1, 1, 6, 6, 1, 1, 6, 10, 10, 2, 6, 1, 1, 1, 6, 6, 1, 4, 10, 2, 6, 2, 6, 1, 10, 9, 6, 6, 6, 1, 6, 10, 2, 1, 6, 6, 10, 10, 1, 1, 6, 2, 1, 2, 1, 6, 6, 6, 10, 1, 1, 6, 2, 10, 6, 6, 2, 6, 10, 6, 2, 2, 2, 10, 10, 6, 1, 1, 6, 10, 5, 9, 1, 6, 2, 2, 1, 6, 2, 6, 2, 1, 6, 1, 10, 10, 1, 2, 6, 10, 2, 2, 6, 6, 1, 5, 1, 6, 10, 9, 6, 2, 1, 10, 5, 10, 1, 2, 1, 2, 2, 2, 10, 10, 10, 2, 6, 1, 1, 10, 1, 6, 10, 6, 1, 2, 10, 1, 10, 1, 6, 6, 2, 1, 2, 1, 2, 6, 2, 1, 10, 0, 6, 6, 1, 2, 2, 2, 2, 10, 6, 5, 6, 10, 9, 1, 1, 1, 6, 6, 10, 6, 2, 1, 1, 2, 1, 6, 2, 1, 1, 10, 4, 2, 10, 1, 10, 2, 1, 1, 10, 6, 1, 2, 6, 1, 2, 10, 1, 6, 10, 10, 1, 1, 1, 1, 2, 10, 2, 2, 1, 2, 6, 6, 2, 6, 10, 5, 1, 2, 1, 2, 10, 10, 2, 2, 10, 6, 2, 10, 10, 6, 10, 6, 10, 10, 2, 10, 10, 10, 2, 6, 1, 1, 0, 2, 1, 6, 6, 6, 6, 6, 1, 6, 10, 1, 2, 2, 10, 10, 6, 10, 10, 10, 10, 1, 10, 6, 6, 1, 6, 6, 6, 10, 1, 6, 10, 2, 1, 1, 10, 6, 10, 6, 1, 2, 2, 2, 2, 2, 1, 2, 6, 1, 10, 1, 10, 6, 2, 10, 10, 1, 6, 0, 1, 2, 1, 10, 6, 10, 10, 10, 1, 2, 10, 6, 1, 6, 1, 2, 2, 1, 2, 6, 1, 6, 2, 10, 2, 10, 2, 6, 6, 1, 10, 2, 10, 2, 1, 6, 1, 1, 10, 1, 2, 10, 1, 10, 1, 2, 6, 1, 6, 2, 1, 6, 10, 6, 2, 1, 1, 10, 10, 1, 10, 1, 6, 2, 10, 6, 0, 1, 10, 10, 1, 2, 1, 1, 2, 1, 10, 6, 2, 1, 2, 2, 1, 1, 6, 6, 6, 1, 1, 10, 10, 2, 1, 1, 2, 40, 2, 6, 6, 1, 2, 2, 1, 1, 10, 10, 6, 1, 10, 6, 10, 6, 2, 2, 2, 1, 10, 6, 10, 1, 1, 1, 2, 6, 6, 0, 2, 6, 1, 1, 6, 1, 10, 2, 1, 6, 5, 1, 2, 6, 10, 2, 1, 10, 10, 10, 6, 1, 2, 2, 2, 10, 2, 2, 10, 6, 2, 1, 2, 1, 10, 1, 6, 10, 1, 6, 10, 2, 10, 1, 10, 1, 2, 10, 1, 1, 2, 1, 6, 6, 2, 2, 2, 1, 10, 1, 10, 1, 2, 6, 2, 1, 1, 1, 10, 2, 5, 1, 2, 6, 6, 6, 2, 2, 10, 10, 6, 6, 6, 1, 0, 2, 2, 2, 10, 10, 0, 10, 2, 6, 1, 1, 2, 1, 10, 1, 2, 1, 1, 6, 1, 2, 10, 10, 1, 2, 1, 1, 1, 9, 10, 1, 10, 1, 1, 6, 1, 6, 10, 6, 6, 1, 6, 2, 6, 2, 1, 2, 10, 1, 10, 10, 2, 2, 6, 6, 2, 10, 6, 6, 10, 1, 2, 2, 2, 6, 6, 10, 6, 2, 9, 6, 2, 1, 1, 2, 6, 1, 6, 6, 6, 6, 1, 1, 6, 1, 6, 2, 2, 1, 2, 9, 1, 2, 2, 1, 6, 2, 6, 2, 6, 6, 1, 1, 1, 1, 2, 2, 10, 6, 10, 2, 2, 6, 1, 1, 2, 6, 2, 6, 6, 10, 6, 6, 5, 6, 4, 2, 1, 2, 1, 10, 6, 10, 2, 6, 1, 6, 10, 2, 2, 1, 6, 10, 2, 2, 6, 1, 1, 10, 6, 1, 10, 6, 1, 10, 2, 2, 10, 1, 10, 1, 6, 2, 2, 10, 6, 2, 6, 6, 2, 2, 1, 2, 2, 2, 10, 6, 4, 2, 2, 10, 2, 6, 2, 1, 1, 1, 6, 1, 1, 10, 2, 1, 10, 1, 1, 1, 2, 10, 4, 4, 0, 6, 0, 2, 6, 2, 10, 10, 6, 6, 2, 2, 10, 2, 5, 6, 2, 2, 2, 2, 10, 1, 10, 10, 2, 1, 1, 2, 1, 6, 6, 10, 1, 6, 1, 1, 6, 1, 2, 10, 2, 10, 1, 10, 10, 10, 2, 6, 10, 2, 2, 6, 2, 10, 10, 1, 6, 6, 10, 1, 1, 1, 2, 6, 2, 6, 5, 2, 1, 6, 1, 1, 1, 2, 10, 2, 1, 2, 1, 6, 6, 1, 2, 1, 2, 2, 6, 6, 1, 2, 6, 6, 1, 6, 6, 2, 2, 2, 10, 1, 1, 2, 2, 2, 0, 2, 10, 6, 10, 6, 6, 6, 1, 10, 2, 2, 6, 6, 10, 10, 10, 6, 6, 10, 10, 2, 6, 10, 10, 2, 10, 10, 6, 2, 9, 2, 2, 5, 1, 6, 2, 6, 2, 2, 6, 1, 10, 2, 2, 2, 2, 2, 6, 2, 10, 2, 1, 2, 2, 1, 10, 1, 6, 10, 2, 1, 2, 1, 1, 10, 6, 1, 1, 10, 10, 6, 0, 1, 6, 1, 6, 6, 6, 6, 2, 1, 10, 2, 10, 2, 0, 10, 1, 1, 4, 1, 1, 6, 6, 1, 6, 6, 10, 6, 1, 2, 6, 6, 6, 6, 1, 10, 1, 10, 1, 6, 2, 0, 1, 2, 10, 2, 2, 2, 2, 10, 6, 6, 1, 1, 4, 1, 10, 1, 6, 2, 10, 6, 2, 1, 2, 1, 6, 10, 1, 1, 10, 6, 6, 10, 1, 2, 2, 2, 2, 2, 2, 6, 2, 1, 6, 1, 2, 1, 2, 10, 1, 1, 1, 10, 6, 10, 1, 5, 2, 10, 2, 6, 60, 10, 10, 10, 10, 6, 2, 6, 1, 2, 6, 6, 1, 6, 10, 2, 2, 1, 10, 2, 10, 6, 6, 2, 1, 10, 2, 10, 10, 1, 1, 1, 10, 10, 1, 1, 2, 2, 10, 10, 6, 6, 1, 10, 1, 6, 10, 1, 2, 6, 1, 10, 6, 2, 2, 1, 2, 6, 10, 6, 2, 10, 6, 4, 1, 5, 6, 1, 2, 1, 0, 1, 10, 6, 6, 2, 2, 2, 1, 6, 6, 4, 1, 10, 6, 2, 6, 6, 10, 2, 6, 6, 10, 2, 1, 6, 2, 2, 2, 10, 10, 1, 10, 1, 1, 6, 6, 10, 2, 2, 10, 6, 6, 10, 10, 6, 10, 10, 1, 5, 6, 10, 1, 1, 1, 10, 10, 2, 1, 6, 1, 6, 1, 1, 6, 1, 1, 6, 6, 6, 10, 10, 6, 2, 10, 10, 10, 2, 2, 10, 10, 10, 2, 1, 1, 1, 5, 10, 2, 10, 10, 6, 2, 1, 10, 6, 6, 2, 6, 1, 6, 10, 6, 6, 6, 10, 6, 6, 1, 6, 10, 6, 2, 10, 6, 2, 1, 2, 2, 2, 1, 2, 6, 10, 10, 2, 6, 10, 2, 2, 6, 2, 6, 6, 1, 2, 6, 6, 6, 6, 1, 6, 0, 2, 10, 2, 1, 6, 2, 1, 10, 1, 1, 4, 1, 6, 1, 2, 1, 6, 2, 6, 6, 1, 6, 10, 6, 1, 1, 2, 10, 1, 1, 6, 6, 1, 1, 2, 6, 1, 10, 1, 2, 10, 6, 10, 1, 10, 1, 1, 2, 6, 1, 1, 10, 6, 2, 10, 2, 1, 2, 1, 10, 6, 10, 2, 6, 2, 6, 6, 2, 1, 6, 2, 5, 1, 10, 6, 6, 2, 6, 10, 10, 2, 10, 6, 2, 10, 10, 10, 1, 10, 1, 10, 6, 6, 6, 1, 6, 1, 2, 10, 1, 10, 1, 9, 2, 10, 6, 1, 6, 10, 1, 1, 6, 1, 2, 10, 1, 2, 1, 6, 6, 6, 2, 2, 6, 6, 2, 1, 1, 1, 6, 2, 10, 9, 10, 2, 6, 6, 1, 6, 10, 2, 6, 2, 10, 2, 10, 5, 10, 2, 2, 4, 10, 10, 10, 2, 10, 1, 1, 2, 10, 6, 2, 2, 1, 2, 10, 6, 2, 1, 10, 6, 2, 2, 1, 10, 1, 6, 2, 6, 10, 1, 6, 10, 1, 1, 2, 6, 6, 2, 2, 6, 0, 2, 1, 1, 10, 2, 2, 2, 6, 2, 6, 6, 4, 1, 1, 1, 6, 2, 10, 0, 10, 10, 10, 2, 2, 2, 10, 1, 10, 10, 10, 2, 10, 2, 2, 6, 6, 0, 2, 1, 10, 2, 1, 1, 10, 10, 9, 1, 10, 6, 1, 6, 9, 2, 1, 6, 2, 2, 2, 10, 2, 6, 10, 10, 6, 6, 2, 10, 2, 2, 10, 1, 5, 2, 6, 1, 1, 10, 6, 6, 6, 6, 1, 10, 2, 2, 1, 1, 2, 6, 6, 2, 1, 2, 5, 1, 6, 2, 6, 6, 1, 1, 1, 6, 2, 1, 1, 10, 2, 6, 1, 1, 1, 6, 10, 1, 2, 4, 10, 2, 2, 2, 1, 2, 10, 2, 1, 6, 2, 2, 10, 10, 2, 10, 1, 6, 10, 1, 10, 6, 6, 1, 6, 2, 10, 10, 10, 10, 2, 4, 1, 2, 10, 1, 6, 6, 6, 6, 10, 6, 1, 2, 6, 6, 2, 6, 2, 1, 2, 1, 2, 2, 2, 6, 6, 1, 10, 6, 10, 1, 4, 1, 6, 6, 1, 1, 10, 2, 10, 10, 2, 10, 2, 2, 2, 10, 6, 2, 10, 6, 4, 6, 6, 1, 6, 6, 6, 10, 2, 1, 1, 10, 1, 6, 10, 1, 1, 6, 1, 6, 2, 6, 2, 10, 6, 10, 2, 1, 1, 10, 6, 6, 2, 10, 6, 1, 2, 6, 10, 1, 6, 10, 1, 10, 2, 6, 1, 10, 2, 1, 10, 6, 1, 2, 1, 6, 10, 1, 1, 1, 10, 1, 1, 10, 2, 1, 3, 6, 10, 2, 6, 6, 10, 1, 10, 10, 2, 1, 10, 2, 6, 2, 6, 2, 1, 10, 10, 1, 10, 6, 2, 10, 6, 2, 6, 10, 6, 1, 4, 2, 10, 2, 10, 2, 10, 1, 1, 1, 1, 1, 6, 10, 1, 2, 2, 1, 1, 10, 1, 2, 10, 2, 2, 10, 2, 2, 1, 10, 9, 6, 6, 1, 1, 6, 6, 1, 6, 1, 10, 1, 1, 6, 6, 2, 10, 1, 10, 1, 10, 10, 6, 6, 6, 2, 6, 6, 10, 10, 1, 1, 2, 10, 2, 2, 1, 1, 6, 6, 6, 2, 6, 1, 2, 10, 2, 1, 1, 2, 10, 5, 2, 6, 10, 1, 6, 1, 1, 2, 2, 2, 6, 6, 2, 1, 1, 2, 2, 2, 1, 2, 10, 2, 10, 1, 6, 10, 2, 2, 1, 10, 1, 2, 6, 1, 10, 2, 1, 6, 2, 6, 6, 1, 10, 10, 10, 2, 2, 2, 10, 1, 2, 0, 2, 2, 1, 6, 6, 6, 2, 2, 1, 2, 2, 10, 1, 6, 4, 1, 6, 10, 1, 1, 6, 1, 2, 2, 6, 10, 1, 4, 6, 6, 2, 2, 10, 1, 1, 6, 6, 6, 10, 2, 1, 10, 2, 5, 10, 10, 2, 1, 10, 2, 2, 1, 6, 1, 6, 10, 1, 10, 1, 10, 2, 1, 10, 1, 2, 2, 1, 6, 6, 1, 2, 2, 6, 6, 1, 1, 6, 6, 1, 6, 1, 9, 10, 2, 6, 2, 2, 1, 6, 1, 1, 1, 2, 1, 1, 6, 10, 1, 10, 6, 4, 2, 2, 2, 1, 2, 1, 1, 6, 1, 2, 10, 2, 6, 1, 2, 1, 1, 2, 10, 2, 2, 6, 6, 6, 1, 2, 10, 2, 6, 2, 1, 2, 6, 10, 6, 10, 2, 2, 6, 2, 6, 6, 1, 2, 6, 6, 6, 2, 6, 10, 10, 2, 1, 6, 10, 10, 1, 6, 2, 2, 2, 6, 2, 2, 6, 6, 1, 9, 10, 2, 2, 6, 1, 2, 6, 1, 10, 1, 6, 2, 1, 1, 1, 6, 10, 10, 6, 1, 6, 6, 2, 10, 10, 2, 1, 10, 10, 1, 6, 2, 2, 4, 1, 2, 6, 1, 1, 2, 10, 2, 10, 4, 1, 2, 1, 1, 2, 2, 2, 1, 2, 10, 2, 2, 2, 10, 1, 1, 6, 6, 6, 2, 2, 1, 2, 6, 6, 10, 10, 1, 1, 6, 6, 2, 2, 1, 1, 10, 2, 2, 1, 2, 6, 10, 1, 1, 10, 6, 1, 10, 2, 1, 6, 10, 2, 6, 6, 1, 1, 2, 2, 6, 6, 2, 1, 1, 1, 1, 1, 10, 6, 6, 2, 10, 10, 40, 1, 1, 2, 9, 2, 6, 2, 6, 10, 10, 6, 10, 2, 10, 6, 2, 10, 10, 10, 6, 10, 10, 2, 2, 6, 10, 1, 2, 1, 6, 2, 2, 4, 2, 2, 10, 6, 10, 6, 1, 10, 1, 2, 10, 10, 1, 1, 1, 1, 2, 2, 2, 2, 6, 2, 10, 6, 10, 1, 10, 2, 1, 10, 1, 2, 6, 2, 6, 2, 6, 1, 1, 1, 1, 1, 2, 6, 6, 10, 1, 10, 10, 9, 10, 1, 2, 1, 1, 2, 2, 2, 10, 1, 1, 2, 10, 10, 6, 10, 6, 2, 6, 2, 2, 2, 2, 1, 10, 2, 10, 1, 10, 2, 2, 1, 1, 2, 6, 10, 2, 6, 1, 10, 1, 6, 6, 1, 10, 1, 6, 6, 6, 1, 1, 6, 10, 1, 10, 10, 10, 10, 2, 10, 2, 10, 2, 6, 2, 10, 2, 10, 10, 6, 1, 10, 6, 1, 6, 6, 1, 6, 6, 6, 10, 1, 6, 6, 10, 6, 6, 1, 10, 6, 1, 2, 2, 6, 6, 6, 1, 6, 1, 10, 6, 6, 2, 2, 1, 2, 1, 1, 5, 6, 1, 6, 10, 6, 1, 1, 6, 10, 6, 9, 2, 6, 2, 10, 2, 1, 1, 6, 6, 2, 2, 10, 1, 6, 10, 10, 1, 6, 6, 6, 2, 6, 1, 10, 6, 1, 10, 10, 6, 6, 10, 10, 6, 2, 6, 2, 1, 6, 2, 10, 10, 10, 1, 2, 6, 1, 1, 6, 2, 6, 1, 6, 6, 2, 10, 1, 10, 1, 10, 1, 2, 1, 10, 6, 1, 10, 2, 1, 6, 2, 2, 10, 10, 1, 10, 1, 6, 1, 2, 2, 6, 10, 1, 2, 10, 2, 6, 0, 6, 2, 1, 1, 1, 1, 6, 1, 2, 0, 1, 1, 10, 6, 6, 2, 2, 1, 10, 1, 10, 1, 2, 1, 2, 1, 1, 2, 2, 4, 6, 1, 1, 10, 2, 2, 1, 10, 6, 6, 6, 10, 10, 10, 6, 6, 2, 2, 6, 2, 2, 2, 10, 2, 1, 6, 10, 6, 6, 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2, 2, 2, 6, 6, 1, 6, 6, 10, 1, 10, 1, 2, 2, 6, 10, 2, 2, 6, 2, 2, 10, 1, 10, 2, 10, 1, 10, 1, 10, 6, 1, 10, 2, 6, 10, 1, 10, 10, 2, 1, 6, 2, 6, 2, 10, 10, 1, 10, 2, 10, 1, 1, 10, 10, 6, 6, 1, 10, 2, 6, 10, 1, 2, 2, 1, 2, 10, 6, 10, 6, 1, 10, 1, 2, 2, 1, 10, 2, 1, 1, 10, 6, 10, 1, 6, 2, 6, 6, 1, 1, 6, 2, 2, 1, 1, 2, 2, 2, 10, 6, 6, 1, 6, 1, 2, 6, 6, 2, 1, 10, 6, 2, 1, 1, 1, 10, 1, 1, 6, 6, 10, 6, 6, 6, 1, 10, 10, 2, 6, 6, 1, 6, 1, 10, 1, 4, 6, 10, 6, 2, 2, 2, 1, 1, 1, 6, 1, 2, 1, 5, 1, 1, 10, 2, 10, 1, 2, 6, 6, 10, 6, 6, 2, 10, 2, 6, 5, 2, 10, 6, 2, 1, 10, 2, 2, 10, 6, 1, 10, 10, 1, 10, 2, 1, 1, 10, 1, 2, 2, 6, 2, 4, 10, 0, 2, 2, 10, 9, 6, 1, 10, 1, 2, 10, 2, 2, 2, 10, 10, 1, 6, 1, 1, 6, 1, 1, 6, 10, 10, 6, 6, 2, 6, 1, 6, 6, 1, 6, 2, 4, 10, 2, 10, 10, 1, 10, 10, 1, 2, 6, 1, 6, 6, 2, 6, 10, 6, 10, 6, 2, 6, 1, 1, 10, 0, 2, 1, 6, 10, 6, 1, 10, 10, 1, 6, 6, 6, 2, 10, 6, 6, 2, 6, 2, 1, 6, 2, 1, 10, 10, 1, 1, 6, 5, 2, 1, 2, 6, 4, 2, 10, 6, 6, 2, 10, 9, 1, 2, 10, 6, 1, 9, 6, 1, 1, 1, 2, 10, 9, 10, 6, 10, 6, 10, 2, 10, 10, 2, 6, 0, 6, 10, 1, 1, 1, 6, 6, 1, 10, 10, 2, 2, 2, 6, 6, 10, 2, 2, 2, 10, 2, 6, 2, 2, 2, 10, 10, 6, 6, 10, 1, 6, 2, 10, 10, 10, 6, 6, 1, 10, 2, 2, 6, 1, 1, 1, 2, 5, 4, 1, 1, 6, 1, 6, 6, 10, 6, 2, 6, 2, 10, 1, 6, 1, 6, 6, 2, 10, 6, 6, 6, 2, 1, 2, 4, 1, 5, 2, 2, 10, 10, 10, 2, 6, 2, 10, 10, 6, 1, 10, 6, 2, 10, 2, 10, 10, 1, 2, 2, 6, 1, 10, 1, 6, 2, 6, 2, 6, 6, 6, 10, 10, 1, 2, 1, 10, 10, 10, 2, 10, 2, 5, 1, 2, 6, 2, 6, 10, 10, 6, 10, 1, 10, 2, 1, 2, 10, 5, 2, 1, 10, 10, 1, 10, 2, 6, 6, 1, 10, 2, 1, 1, 2, 2, 1, 6, 6, 1, 1, 10, 2, 10, 2, 2, 6, 2, 6, 1, 6, 2, 10, 2, 6, 6, 2, 1, 1, 10, 1, 10, 2, 10, 2, 2, 6, 10, 5, 1, 5, 1, 2, 2, 1, 6, 0, 10, 10, 1, 10, 1, 6, 2, 6, 4, 6, 2, 1, 1, 1, 2, 2, 6, 1, 10, 2, 1, 2, 10, 1, 10, 2, 10, 6, 6, 1, 2, 6, 2, 2, 6, 1, 1, 6, 1, 10, 1, 10, 6, 2, 0, 1, 10, 2, 9, 6, 2, 2, 10, 6, 1, 1, 6, 10, 10, 5, 1, 2, 2, 10, 1, 10, 1, 2, 6, 10, 6, 1, 10, 10, 10, 10, 6, 6, 10, 1, 6, 1, 2, 10, 1, 6, 1, 1, 10, 1, 1, 6, 10, 10, 6, 5, 10, 1, 0, 6, 2, 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10, 2, 1, 1, 6, 2, 2, 1, 10, 10, 1, 2, 2, 2, 6, 2, 1, 2, 2, 6, 6, 2, 1, 10, 2, 10, 5, 1, 6, 10, 10, 10, 6, 6, 1, 1, 10, 2, 10, 2, 10, 1, 6, 2, 2, 6, 6, 2, 2, 2, 1, 2, 6, 1, 10, 10, 2, 1, 10, 6, 10, 2, 2, 1, 1, 2, 1, 10, 2, 10, 1, 6, 6, 10, 1, 6, 10, 10, 10, 2, 2, 1, 2, 6, 6, 2, 2, 1, 1, 10, 1, 2, 1, 1, 6, 2, 2, 10, 1, 2, 2, 10, 0, 10, 6, 6, 2, 10, 10, 10, 2, 1, 10, 5, 6, 1, 10, 10, 10, 10, 4, 6, 10, 10, 10, 10, 10, 10, 10, 1, 6, 4, 2, 1, 4, 10, 2, 10, 1, 2, 6, 2, 1, 2, 0, 10, 6, 1, 2, 2, 6, 10, 6, 2, 2, 1, 10, 10, 10, 2, 2, 2, 6, 6, 0, 6, 10, 10, 6, 2, 2, 6, 2, 1, 1, 2, 10, 6, 2, 10, 1, 1, 1, 10, 2, 2, 2, 10, 2, 6, 6, 1, 2, 6, 1, 6, 6, 2, 2, 10, 10, 1, 6, 6, 10, 6, 6, 1, 6, 1, 2, 2, 10, 2, 2, 1, 10, 1, 1, 2, 2, 1, 1, 2, 0, 1, 4, 10, 10, 1, 2, 1, 10, 2, 10, 2, 2, 1, 6, 2, 1, 2, 6, 2, 6, 2, 1, 1, 10, 6, 2, 2, 10, 2, 9, 10, 1, 2, 1, 1, 10, 10, 6, 2, 1, 1, 10, 6, 6, 6, 2, 6, 2, 10, 6, 2, 6, 1, 10, 2, 6, 2, 10, 1, 10, 2, 10, 1, 2, 1, 1, 6, 2, 10, 6, 6, 10, 2, 8, 2, 6, 1, 6, 2, 10, 10, 10, 1, 6, 6, 10, 10, 2, 10, 1, 10, 10, 1, 10, 2, 2, 10, 6, 6, 5, 1, 2, 2, 10, 6, 10, 6, 1, 10, 2, 1, 1, 1, 1, 2, 2, 6, 6, 6, 6, 6, 10, 2, 10, 10, 10, 9, 2, 2, 10, 1, 2, 10, 10, 1, 6, 1, 10, 6, 2, 2, 2, 2, 6, 2, 2, 6, 6, 10, 2, 6, 1, 1, 6, 10, 6, 6, 10, 10, 10, 2, 10, 1, 10, 1, 1, 6, 1, 2, 10, 10, 1, 1, 2, 10, 2, 10, 1, 4, 1, 6, 6, 1, 6, 2, 1, 1, 1, 1, 10, 1, 6, 1, 1, 2, 2, 6, 10, 2, 6, 0, 1, 10, 10, 1, 6, 1, 6, 2, 6, 9, 10, 2, 2, 2, 4, 1, 2, 2, 6, 1, 10, 6, 10, 6, 2, 6, 6, 10, 2, 1, 1, 10, 2, 1, 1, 6, 2, 2, 10, 4, 2, 1, 2, 1, 6, 1, 2, 1, 0, 6, 10, 6, 1, 1, 2, 1, 10, 6, 1, 2, 6, 6, 2, 1, 1, 1, 6, 2, 1, 1, 2, 2, 10, 2, 1, 0, 2, 1, 2, 6, 10, 1, 2, 6, 1, 10, 1, 2, 10, 6, 2, 2, 6, 1, 6, 10, 1, 2, 2, 2, 10, 1, 2, 6, 10, 10, 10, 6, 2, 10, 1, 6, 6, 6, 2, 1, 6, 10, 6, 1, 6, 6, 6, 10, 1, 1, 10, 2, 6, 6, 1, 6, 2, 9, 1, 6, 6, 2, 6, 1, 10, 2, 1, 2, 2, 6, 2, 2, 2, 1, 2, 10, 6, 1, 1, 10, 1, 10, 2, 6, 6, 2, 4, 6, 2, 2, 10, 9, 1, 10, 10, 6, 6, 6, 2, 10, 2, 2, 2, 1, 2, 10, 6, 2, 2, 6, 1, 1, 1, 2, 2, 6, 10, 1, 4, 2, 1, 5, 2, 10, 10, 1, 1, 2, 6, 1, 10, 2, 6, 2, 6, 2, 2, 6, 6, 10, 10, 6, 6, 10, 10, 6, 1, 1, 10, 10, 2, 10, 2, 6, 1, 10, 2, 0, 2, 10, 5, 10, 10, 6, 6, 6, 10, 2, 2, 10, 6, 1, 1, 6, 10, 6, 2, 2, 10, 1, 1, 2, 6, 1, 2, 2, 10, 1, 10, 6, 1, 6, 6, 2, 1, 1, 10, 2, 10, 10, 6, 10, 6, 1, 1, 2, 7, 6, 10, 1, 1, 2, 10, 6, 2, 10, 10, 10, 6, 2, 2, 1, 2, 10, 6, 10, 6, 2, 2, 1, 1, 6, 6, 2, 10, 5, 1, 10, 6, 2, 6, 10, 1, 10, 1, 2, 2, 6, 6, 10, 1, 1, 6, 1, 6, 2, 1, 6, 10, 10, 10, 6, 10, 2, 2, 2, 10, 1, 1, 2, 6, 2, 1, 2, 10, 1, 1, 2, 1, 1, 2, 10, 1, 2, 10, 6, 1, 10, 10, 10, 10, 1, 2, 1, 6, 6, 10, 2, 6, 2, 2, 1, 10, 1, 6, 2, 1, 2, 10, 6, 2, 6, 2, 6, 6, 1, 1, 2, 1, 0, 1, 1, 10, 2, 10, 5, 10, 1, 2, 1, 1, 6, 1, 6, 6, 2, 6, 6, 1, 6, 6, 6, 10, 2, 1, 10, 1, 1, 1, 10, 6, 10, 2, 2, 1, 6, 2, 6, 5, 2, 2, 1, 6, 6, 10, 6, 1, 2, 1, 10, 10, 10, 6, 60, 6, 6, 1, 6, 10, 10, 6, 1, 2, 10, 2, 6, 60, 10, 10, 2, 10, 1, 6, 10, 6, 2, 6, 2, 1, 2, 6, 2, 1, 10, 6, 6, 6, 10, 2, 10, 2, 10, 6, 0, 6, 10, 10, 1, 1, 10, 1, 1, 1, 6, 1, 2, 2, 1, 1, 10, 10, 1, 6, 1, 1, 2, 1, 6, 6, 1, 1, 10, 2, 9, 2, 1, 6, 2, 1, 6, 6, 10, 6, 10, 0, 2, 2, 1, 1, 2, 6, 10, 2, 6, 1, 10, 2, 6, 5, 2, 1, 1, 2, 2, 6, 1, 6, 2, 1, 6, 6, 2, 1, 2, 6, 2, 6, 1, 2, 6, 6, 2, 1, 2, 6, 6, 10, 2, 1, 10, 6, 1, 2, 6, 10, 6, 10, 6, 10, 2, 6, 10, 2, 1, 5, 6, 10, 2, 10, 1, 6, 1, 1, 1, 6, 6, 10, 2, 6, 10, 2, 6, 2, 2, 2, 2, 6, 1, 5, 10, 2, 2, 1, 10, 2, 1, 6, 1, 2, 6, 6, 2, 6, 10, 2, 6, 6, 6, 10, 6, 10, 2, 1, 10, 2, 2, 2, 1, 10, 2, 10, 2, 10, 10, 1, 1, 10, 1, 10, 1, 2, 2, 1, 2, 2, 2, 6, 2, 6, 6, 1, 2, 1, 1, 6, 10, 10, 1, 2, 1, 1, 10, 2, 10, 2, 2, 10, 2, 1, 2, 2, 6, 2, 10, 1, 6, 1, 2, 1, 10, 6, 6, 2, 1, 10, 6, 6, 4, 10, 1, 6, 2, 2, 10, 1, 9, 6, 6, 10, 1, 0, 10, 6, 10, 10, 2, 10, 10, 2, 10, 1, 2, 1, 2, 1, 10, 1, 10, 6, 2, 6, 6, 0, 6, 1, 10, 6, 9, 2, 2, 2, 6, 10, 1, 10, 1, 1, 5, 6, 1, 6, 2, 6, 1, 2, 10, 1, 2, 6, 2, 2, 10, 6, 6, 2, 10, 1, 6, 1, 2, 6, 1, 1, 6, 2, 6, 6, 1, 10, 1, 1, 10, 10, 10, 10, 10, 1, 10, 6, 2, 10, 2, 6, 6, 1, 1, 2, 10, 10, 1, 1, 1, 2, 6, 6, 10, 10, 6, 6, 2, 1, 2, 10, 2, 6, 6, 10, 1, 6, 1, 10, 1, 10, 2, 10, 6, 2, 10, 7, 10, 10, 10, 2, 6, 2, 10, 2, 2, 1, 1, 6, 10, 10, 2, 1, 6, 2, 2, 6, 2, 2, 10, 1, 6, 2, 6, 1, 6, 6, 6, 10, 1, 6, 6, 1, 10, 1, 2, 4, 6, 6, 6, 10, 2, 10, 1, 1, 1, 4, 2, 2, 2, 6, 10, 6, 6, 10, 4, 10, 2, 6, 1, 1, 2, 10, 1, 10, 6, 2, 10, 10, 10, 6, 1, 10, 10, 6, 1, 6, 2, 6, 2, 2, 10, 2, 2, 1, 6, 6, 10, 2, 2, 6, 2, 2, 1, 1, 6, 2, 6, 10, 2, 1, 1, 6, 1, 1, 6, 2, 2, 10, 6, 4, 10, 10, 6, 1, 6, 6, 10, 6, 2, 10, 1, 2, 10, 10, 10, 1, 6, 10, 2, 6, 2, 2, 6, 1, 1, 1, 6, 10, 2, 6, 1, 4, 6, 10, 6, 1, 1, 10, 2, 10, 50, 1, 0, 1, 2, 1, 10, 1, 2, 10, 6, 2, 2, 10, 2, 1, 1, 10, 10, 2, 2, 1, 1, 2, 2, 6, 1, 6, 10, 1, 10, 6, 6, 2, 1, 5, 10, 1, 10, 2, 1, 10, 6, 1, 6, 2, 2, 2, 8, 6, 6, 6, 6, 1, 6, 1, 6, 6, 2, 6, 1, 6, 10, 1, 10, 1, 2, 2, 10, 2, 2, 6, 6, 1, 1, 10, 6, 1, 2, 1, 10, 1, 6, 1, 10, 2, 10, 6, 6, 2, 6, 10, 10, 2, 2, 1, 2, 2, 2, 2, 6, 10, 6, 2, 2, 10, 6, 10, 6, 10, 6, 10, 2, 6, 10, 6, 1, 2, 2, 2, 2, 6, 6, 2, 6, 1, 5, 6, 6, 1, 1, 2, 10, 7, 1, 6, 1, 1, 6, 6, 1, 10, 1, 1, 2, 10, 10, 1, 1, 1, 1, 10, 6, 10, 2, 5, 1, 10, 1, 1, 0, 10, 6, 6, 10, 10, 2, 2, 1, 6, 10, 10, 2, 1, 2, 6, 10, 1, 1, 2, 6, 2, 2, 6, 5, 10, 1, 1, 1, 2, 2, 2, 1, 10, 6, 10, 1, 2, 2, 1, 1, 2, 2, 10, 10, 10, 6, 1, 2, 2, 1, 1, 10, 1, 10, 6, 10, 1, 1, 6, 1, 2, 1, 6, 2, 2, 6, 2, 6, 1, 1, 10, 10, 1, 5, 1, 10, 2, 6, 10, 1, 2, 2, 10, 1, 6, 1, 6, 10, 2, 10, 2, 2, 1, 6, 1, 6, 6, 6, 1, 1, 4, 1, 6, 6, 9, 2, 6, 1, 2, 1, 6, 10, 10, 2, 10, 0, 10, 6, 10, 1, 6, 2, 2, 6, 6, 1, 2, 2, 2, 10, 2, 6, 10, 10, 0, 1, 10, 2, 6, 6, 6, 1, 6, 2, 6, 6, 9, 10, 10, 2, 1, 2, 2, 1, 6, 2, 2, 2, 2, 10, 10, 10, 6, 10, 6, 5, 2, 1, 10, 6, 1, 6, 1, 2, 2, 6, 2, 2, 4, 1, 2, 6, 1, 6, 10, 2, 6, 1, 10, 1, 1, 2, 10, 10, 2, 1, 2, 2, 10, 2, 6, 1, 1, 1, 6, 2, 10, 2, 10, 1, 10, 6, 2, 2, 6, 1, 6, 10, 2, 2, 2, 10, 6, 10, 10, 6, 1, 2, 6, 2, 1, 2, 6, 10, 2, 1, 2, 10, 1, 1, 10, 10, 2, 1, 10, 0, 6, 6, 2, 10, 6, 2, 1, 1, 2, 2, 6, 6, 1, 10, 6, 6, 6, 10, 6, 10, 6, 2, 2, 6, 6, 2, 2, 10, 6, 10, 1, 10, 1, 10, 6, 2, 6, 6, 2, 6, 10, 1, 10, 6, 10, 1, 6, 10, 2, 1, 10, 6, 6, 6, 6, 2, 1, 2, 1, 1, 2, 2, 6, 10, 1, 6, 6, 6, 2, 2, 6, 10, 10, 10, 10, 1, 6, 1, 2, 2, 2, 1, 10, 9, 1, 1, 1, 2, 2, 2, 1, 10, 10, 5, 6, 10, 1, 6, 1, 1, 2, 10, 2, 1, 2, 6, 6, 2, 9, 1, 1, 3, 2, 2, 0, 2, 2, 6, 6, 10, 1, 6, 1, 5, 6, 40, 10, 6, 6, 10, 10, 2, 6, 1, 2, 2, 6, 10, 2, 6, 2, 10, 1, 2, 2, 10, 6, 10, 10, 6, 10, 2, 6, 1, 2, 1, 10, 10, 10, 2, 6, 2, 6, 1, 6, 6, 1, 6, 10, 1, 2, 10, 1, 1, 2, 10, 2, 6, 10, 2, 10, 6, 6, 10, 6, 1, 6, 2, 5, 6, 10, 6, 6, 2, 1, 10, 6, 2, 6, 6, 1, 1, 1, 1, 10, 6, 1, 2, 6, 10, 2, 10, 2, 6, 1, 2, 0, 1, 6, 6, 2, 10, 6, 10, 2, 2, 2, 2, 1, 1, 1, 0, 4, 1, 2, 6, 10, 1, 2, 10, 10, 6, 2, 10, 10, 10, 6, 1, 10, 1, 6, 1, 6, 2, 2, 2, 6, 10, 2, 6, 2, 2, 2, 1, 10, 2, 10, 6, 2, 1, 0, 1, 6, 2, 1, 10, 2, 6, 1, 1, 10, 6, 1, 10, 2, 6, 6, 4, 10, 10, 2, 2, 0, 10, 1, 2, 1, 6, 1, 2, 2, 10, 2, 6, 2, 2, 2, 6, 2, 10, 6, 2, 2, 6, 10, 10, 6, 6, 1, 2, 6, 2, 6, 10, 2, 6, 6, 2, 1, 10, 1, 6, 1, 6, 10, 2, 1, 2, 6, 6, 1, 2, 1, 6, 2, 6, 10, 6, 2, 10, 6, 2, 10, 10, 6, 6, 10, 6, 2, 6, 6, 6, 1, 1, 6, 6, 6, 2, 6, 5, 2, 6, 9, 2, 10, 0, 1, 6, 6, 10, 2, 6, 2, 6, 10, 1, 0, 2, 10, 1, 2, 1, 6, 1, 1, 10, 2, 2, 6, 10, 10, 10, 2, 1, 10, 6, 2, 2, 1, 9, 1, 1, 1, 10, 6, 6, 10, 2, 6, 1, 10, 1, 6, 6, 6, 10, 1, 6, 6, 2, 10, 2, 10, 1, 6, 2, 1, 10, 2, 6, 10, 10, 1, 2, 1, 6, 1, 2, 1, 6, 1, 5, 6, 10, 2, 10, 5, 1, 2, 2, 6, 2, 6, 9, 10, 10, 1, 6, 2, 6, 2, 1, 1, 2, 1, 1, 10, 2, 10, 6, 10, 10, 1, 10, 1, 1, 1, 6, 10, 10, 2, 6, 2, 1, 6, 6, 2, 6, 2, 6, 1, 4, 1, 1, 10, 10, 10, 2, 10, 10, 1, 6, 1, 2, 10, 0, 2, 2, 6, 6, 10, 2, 10, 1, 10, 1, 2, 10, 2, 1, 2, 2, 1, 1, 1, 1, 2, 10, 1, 1, 10, 10, 1, 1, 1, 2, 1, 1, 10, 6, 0, 10, 1, 10, 1, 10, 2, 1, 1, 1, 1, 2, 2, 1, 10, 2, 1, 10, 2, 6, 10, 1, 1, 1, 2, 1, 10, 6, 10, 10, 10, 10, 2, 2, 1, 2, 10, 10, 10, 0, 1, 1, 1, 1, 6, 6, 6, 6, 10, 6, 6, 1, 2, 6, 1, 6, 6, 5, 6, 1, 10, 2, 10, 10, 10, 6, 1, 2, 10, 1, 6, 2, 10, 2, 6, 6, 2, 6, 6, 1, 6, 2, 10, 1, 10, 10, 10, 10, 6, 6, 6, 6, 10, 10, 10, 1, 10, 1, 1, 10, 2, 5, 1, 1, 10, 10, 6, 6, 1, 2, 10, 10, 6, 10, 1, 2, 10, 2, 2, 6, 10, 1, 6, 2, 10, 1, 1, 2, 1, 10, 1, 1, 10, 1, 6, 1, 2, 10, 10, 2, 1, 1, 2, 6, 2, 6, 2, 1, 10, 10, 9, 0, 6, 0, 6, 10, 10, 2, 6, 10, 10, 2, 10, 1, 1, 2, 10, 1, 2, 2, 2, 2, 1, 1, 2, 2, 10, 10, 2, 6, 4, 1, 6, 6, 2, 2, 10, 6, 1, 10, 6, 2, 1, 5, 2, 6, 2, 9, 9, 10, 1, 10, 10, 2, 2, 10, 2, 10, 2, 2, 10, 2, 10, 1, 6, 2, 6, 1, 2, 6, 10, 1, 2, 1, 1, 2, 9, 6, 6, 10, 2, 1, 2, 2, 2, 1, 2, 6, 1, 1, 10, 6, 6, 2, 1, 1, 2, 5, 10, 2, 1, 10, 6, 10, 10, 10, 2, 2, 2, 10, 6, 2, 6, 1, 6, 2, 10, 1, 2, 10, 10, 1, 1, 1, 2, 1, 10, 10, 2, 9, 6, 10, 2, 1, 2, 5, 2, 6, 2, 6, 10, 6, 6, 10, 2, 10, 2, 6, 6, 2, 1, 10, 2, 1, 6, 1, 10, 10, 2, 6, 2, 4, 2, 2, 2, 0, 6, 10, 10, 10, 2, 10, 2, 2, 1, 10, 6, 6, 1, 6, 6, 10, 1, 1, 1, 6, 1, 1, 2, 6, 10, 1, 2, 6, 1, 10, 2, 10, 1, 2, 10, 10, 1, 1, 10, 6, 6, 2, 2, 1, 1, 5, 2, 6, 2, 10, 1, 1, 1, 6, 10, 2, 1, 6, 1, 6, 1, 10, 6, 6, 10, 2, 1, 10, 1, 1, 10, 2, 10, 10, 2, 1, 4, 10, 10, 6, 2, 10, 10, 2, 6, 10, 10, 6, 1, 1, 1, 2, 1, 6, 1, 10, 1, 10, 2, 1, 10, 10, 10, 6, 1, 10, 6, 2, 2, 1, 1, 2, 6, 6, 1, 1, 1, 2, 6, 2, 1, 10, 10, 1, 1, 6, 6, 2, 2, 6, 6, 1, 5, 1, 10, 1, 4, 2, 2, 10, 1, 10, 6, 1, 6, 6, 2, 2, 1, 10, 10, 6, 2, 10, 6, 1, 10, 2, 1, 1, 5, 1, 10, 1, 6, 10, 1, 10, 6, 6, 10, 1, 6, 2, 2, 1, 1, 1, 6, 5, 10, 10, 1, 2, 10, 1, 6, 10, 10, 5, 2, 2, 2, 1, 0, 10, 10, 1, 6, 1, 6, 6, 2, 10, 2, 1, 10, 1, 1, 6, 10, 10, 1, 1, 2, 2, 6, 6, 10, 2, 10, 1, 1, 10, 6, 1, 10, 10, 1, 6, 2, 2, 6, 2, 10, 2, 1, 10, 10, 10, 2, 1, 6, 6, 6, 2, 2, 10, 10, 1, 2, 4, 1, 10, 2, 1, 10, 1, 6, 10, 6, 2, 10, 1, 6, 6, 1, 10, 6, 6, 10, 2, 2, 10, 10, 2, 10, 6, 10, 1, 1, 6, 5, 10, 10, 6, 1, 2, 6, 10, 6, 6, 6, 10, 2, 6, 6, 10, 1, 1, 2, 1, 10, 2, 10, 1, 1, 6, 10, 1, 2, 10, 2, 2, 10, 6, 10, 10, 6, 1, 10, 10, 10, 2, 2, 10, 10, 2, 10, 0, 2, 6, 10, 0, 2, 10, 4, 6, 1, 6, 6, 1, 10, 10, 2, 1, 2, 10, 1, 2, 1, 2, 2, 2, 10, 6, 6, 1, 6, 1, 1, 1, 9, 10, 6, 1, 6, 1, 2, 2, 2, 2, 6, 2, 2, 1, 5, 9, 6, 10, 2, 10, 10, 2, 10, 1, 6, 6, 10, 2, 1, 2, 1, 6, 2, 2, 10, 6, 6, 10, 6, 1, 2, 10, 10, 1, 10, 10, 10, 1, 2, 6, 6, 2, 2, 6, 6, 1, 2, 6, 6, 2, 4, 1, 6, 1, 6, 10, 2, 1, 6, 1, 10, 10, 2, 10, 2, 10, 2, 1, 6, 1, 10, 10, 2, 2, 10, 1, 6, 1, 1, 2, 10, 6, 5, 2, 1, 1, 1, 2, 1, 10, 6, 2, 2, 10, 1, 6, 2, 0, 10, 6, 6, 2, 10, 2, 1, 1, 6, 10, 1, 2, 6, 2, 2, 2, 6, 2, 1, 10, 6, 1, 10, 10, 2, 1, 0, 2, 6, 2, 10, 2, 1, 2, 6, 10, 10, 6, 1, 6, 1, 6, 10, 1, 6, 6, 6, 10, 6, 2, 2, 6, 1, 10, 6, 1, 6, 0, 1, 1, 10, 6, 6, 2, 2, 1, 10, 10, 4, 10, 10, 1, 2, 1, 1, 6, 2, 1, 1, 6, 6, 6, 10, 1, 1, 10, 6, 1, 6, 1, 6, 2, 6, 10, 2, 2, 6, 2, 1, 10, 2, 2, 6, 2, 6, 6, 2, 2, 6, 6, 6, 6, 1, 1, 6, 1, 2, 6, 6, 6, 2, 1, 6, 1, 1, 2, 10, 10, 1, 2, 6, 1, 10, 1, 2, 2, 2, 1, 4, 2, 10, 2, 5, 2, 2, 2, 10, 10, 10, 6, 2, 6, 6, 1, 6, 1, 1, 2, 2, 2, 1, 6, 1, 10, 6, 2, 6, 6, 2, 10, 1, 6, 10, 4, 2, 10, 6, 2, 6, 1, 1, 2, 1, 10, 1, 6, 10, 1, 10, 2, 2, 10, 10, 2, 1, 1, 6, 10, 2, 10, 10, 6, 6, 2, 6, 6, 2, 2, 6, 5, 1, 10, 10, 1, 1, 10, 10, 1, 2, 10, 2, 10, 2, 6, 2, 5, 10, 2, 1, 2, 10, 10, 2, 2, 6, 6, 10, 6, 1, 6, 10, 1, 10, 10, 10, 6, 1, 9, 1, 6, 1, 9, 1, 5, 6, 10, 1, 6, 6, 1, 1, 10, 10, 10, 10, 10, 10, 10, 6, 1, 6, 2, 5, 10, 6, 6, 7, 10, 0, 2, 2, 1, 6, 2, 6, 10, 2, 6, 10, 6, 10, 10, 6, 5, 1, 2, 2, 1, 1, 1, 10, 10, 6, 6, 1, 6, 6, 10, 2, 10, 2, 2, 10, 6, 1, 1, 2, 1, 2, 10, 10, 1, 1, 10, 2, 1, 2, 6, 1, 6, 10, 10, 10, 10, 2, 1, 6, 1, 1, 2, 6, 1, 1, 6, 1, 2, 2, 1, 10, 1, 2, 2, 1, 1, 10, 1, 10, 1, 2, 10, 10, 6, 10, 1, 9, 2, 1, 10, 1, 6, 1, 4, 2, 6, 10, 10, 2, 2, 1, 10, 1, 6, 1, 6, 6, 2, 10, 6, 10, 1, 1, 2, 1, 1, 6, 1, 10, 1, 1, 10, 2, 6, 6, 1, 6, 6, 10, 6, 10, 2, 10, 10, 1, 6, 2, 6, 6, 10, 2, 10, 2, 2, 2, 2, 10, 6, 10, 0, 2, 6, 1, 2, 10, 0, 2, 1, 2, 10, 4, 10, 6, 6, 1, 2, 1, 2, 2, 6, 1, 2, 1, 1, 2, 1, 1, 2, 10, 2, 1, 6, 6, 6, 10, 10, 10, 10, 10, 6, 1, 1, 2, 2, 1, 1, 2, 6, 10, 2, 6, 10, 2, 1, 10, 2, 2, 9, 1, 6, 6, 1, 6, 2, 1, 1, 6, 1, 10, 6, 2, 1, 10, 10, 6, 1, 6, 2, 2, 2, 1, 2, 2, 0, 2, 10, 1, 6, 10, 1, 6, 10, 10, 1, 6, 2, 1, 2, 2, 6, 2, 1, 2, 10, 10, 10, 2, 2, 10, 10, 1, 1, 6, 2, 6, 10, 1, 6, 10, 1, 10, 10, 6, 2, 6, 6, 6, 6, 0, 6, 6, 1, 1, 6, 1, 10, 1, 1, 6, 2, 10, 2, 1, 6, 1, 6, 1, 10, 6, 2, 6, 1, 1, 6, 2, 10, 1, 10, 1, 5, 1, 1, 10, 6, 1, 10, 1, 2, 2, 6, 10, 2, 6, 10, 6, 5, 6, 6, 2, 2, 10, 6, 2, 1, 6, 2, 2, 10, 6, 10, 2, 1, 2, 1, 2, 2, 6, 2, 2, 6, 1, 6, 1, 6, 2, 1, 10, 10, 10, 1, 10, 10, 2, 2, 2, 2, 10, 10, 1, 10, 10, 2, 0, 10, 2, 10, 1, 2, 1, 6, 1, 1, 1, 1, 10, 2, 6, 6, 1, 10, 1, 1, 2, 1, 2, 1, 1, 1, 10, 6, 2, 1, 1, 6, 10, 2, 2, 10, 2, 2, 6, 10, 1, 1, 10, 6, 1, 10, 10, 1, 6, 1, 10, 6, 10, 6, 6, 1, 1, 10, 1, 2, 6, 6, 2, 6, 1, 6, 1, 2, 1, 9, 1, 6, 1, 10, 10, 4, 1, 2, 1, 2, 2, 6, 2, 1, 5, 6, 2, 10, 2, 10, 6, 2, 1, 6, 9, 6, 6, 2, 2, 2, 6, 9, 2, 10, 2, 10, 2, 6, 2, 10, 10, 6, 10, 4, 2, 10, 4, 2, 6, 1, 6, 2, 2, 6, 2, 1, 1, 1, 1, 1, 1, 6, 2, 6, 6, 6, 1, 1, 1, 2, 1, 10, 6, 60, 6, 6, 2, 1, 1, 6, 6, 1, 1, 1, 10, 2, 10, 1, 6, 6, 1, 2, 10, 10, 6, 1, 2, 10, 9, 2, 10, 6, 2, 6, 2, 2, 10, 10, 2, 2, 1, 6, 10, 6, 2, 6, 2, 1, 2, 6, 1, 5, 1, 1, 1, 10, 10, 1, 10, 10, 1, 1, 2, 1, 2, 10, 2, 1, 2, 2, 2, 6, 10, 10, 10, 2, 10, 6, 6, 6, 1, 6, 2, 1, 10, 1, 10, 10, 1, 2, 6, 10, 1, 10, 10, 10, 10, 10, 1, 10, 2, 2, 10, 10, 1, 6, 10, 6, 6, 10, 6, 2, 10, 1, 10, 10, 1, 10, 1, 6, 10, 1, 1, 2, 0, 2, 1, 10, 6, 6, 5, 2, 10, 1, 1, 6, 10, 1, 1, 10, 6, 10, 2, 6, 2, 1, 2, 1, 10, 2, 6, 6, 6, 2, 1, 1, 1, 10, 6, 1, 9, 10, 10, 10, 1, 10, 10, 2, 2, 6, 10, 2, 10, 1, 6, 10, 6, 6, 10, 10, 10, 1, 6, 6, 10, 2, 6, 2, 6, 10, 10, 2, 10, 4, 6, 2, 10, 6, 1, 2, 2, 2, 1, 2, 2, 1, 10, 6, 6, 10, 10, 1, 2, 6, 1, 10, 1, 2, 1, 6, 6, 10, 6, 1, 1, 10, 10, 6, 6, 1, 9, 2, 10, 6, 10, 9, 2, 6, 10, 6, 2, 6, 1, 6, 6, 0, 6, 1, 6, 2, 2, 10, 2, 6, 10, 10, 2, 2, 6, 2, 6, 2, 2, 1, 1, 2, 2, 10, 6, 1, 6, 2, 2, 10, 2, 10, 1, 6, 6, 2, 6, 5, 1, 2, 1, 10, 1, 1, 2, 10, 2, 1, 1, 2, 1, 1, 10, 6, 2, 1, 10, 2, 6, 1, 1, 10, 6, 10, 1, 10, 10, 2, 6, 1, 6, 6, 1, 6, 1, 1, 1, 6, 1, 1, 2, 10, 2, 6, 2, 2, 1, 6, 1, 6, 6, 2, 1, 1, 1, 6, 1, 2, 2, 6, 1, 10, 2, 10, 6, 10, 10, 2, 1, 1, 1, 10, 6, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 5, 10, 0, 2, 10, 6, 2, 6, 1, 10, 10, 1, 6, 6, 2, 2, 10, 1, 2, 2, 10, 6, 6, 2, 1, 10, 6, 10, 2, 4, 10, 6, 1, 2, 10, 6, 6, 6, 2, 2, 10, 1, 1, 1, 2, 2, 6, 6, 1, 10, 10, 6, 10, 6, 2, 1, 6, 2, 6, 1, 10, 6, 1, 10, 6, 2, 6, 2, 10, 1, 1, 10, 10, 10, 6, 1, 6, 1, 2, 1, 6, 1, 10, 10, 6, 10, 1, 2, 1, 1, 2, 2, 10, 1, 10, 2, 6, 2, 10, 10, 10, 6, 10, 10, 6, 1, 6, 2, 10, 1, 10, 6, 6, 1, 10, 1, 10, 1, 1, 10, 10, 10, 2, 6, 1, 6, 6, 10, 10, 2, 6, 5, 2, 6, 10, 10, 1, 6, 6, 6, 10, 6, 6, 6, 2, 1, 10, 2, 2, 1, 1, 6, 10, 2, 6, 6, 10, 1, 6, 1, 1, 1, 2, 6, 2, 10, 1, 1, 2, 6, 1, 2, 1, 10, 2, 6, 9, 6, 10, 6, 10, 2, 1, 10, 6, 6, 6, 6, 2, 1, 10, 6, 6, 2, 2, 5, 1, 10, 1, 6, 6, 1, 6, 5, 2, 6, 1, 4, 6, 6, 2, 6, 2, 10, 2, 1, 10, 2, 2, 2, 6, 6, 10, 1, 5, 2, 2, 1, 1, 1, 6, 10, 1, 6, 1, 1, 6, 1, 6, 6, 10, 2, 5, 1, 6, 10, 2, 6, 2, 2, 10, 6, 2, 1, 1, 6, 2, 6, 2, 1, 2, 2, 6, 10, 2, 2, 2, 10, 6, 1, 6, 2, 2, 10, 6, 2, 10, 2, 6, 2, 1, 6, 6, 6, 2, 6, 10, 1, 6, 2, 10, 2, 2, 10, 10, 10, 1, 10, 2, 2, 10, 6, 2, 1, 10, 1, 1, 2, 2, 1, 6, 2, 2, 10, 6, 6, 10, 2, 1, 2, 10, 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6, 1, 2, 10, 1, 2, 10, 10, 2, 10, 1, 2, 2, 6, 6, 1, 2, 1, 10, 8, 6, 2, 6, 10, 2, 10, 10, 6, 9, 6, 6, 2, 1, 2, 1, 10, 10, 1, 10, 10, 1, 2, 10, 2, 6, 1, 1, 6, 1, 6, 10, 1, 2, 1, 6, 2, 1, 6, 1, 10, 6, 6, 1, 10, 6, 1, 2, 10, 2, 1, 2, 10, 2, 10, 10, 6, 1, 6, 6, 10, 9, 10, 2, 1, 6, 2, 1, 10, 1, 1, 6, 10, 6, 6, 2, 6, 1, 1, 2, 10, 1, 10, 10, 6, 6, 2, 2, 1, 6, 6, 10, 2, 10, 1, 1, 10, 10, 10, 4, 2, 2, 6, 2, 1, 6, 6, 10, 10, 1, 2, 2, 2, 6, 6, 1, 1, 1, 1, 1, 6, 10, 6, 10, 10, 6, 10, 2, 6, 10, 10, 10, 1, 6, 1, 10, 2, 10, 6, 1, 10, 1, 2, 1, 10, 6, 2, 0, 10, 6, 10, 10, 2, 10, 6, 10, 1, 1, 2, 1, 1, 2, 10, 10, 10, 10, 10, 10, 6, 1, 4, 6, 1, 1, 2, 4, 1, 2, 2, 10, 6, 10, 2, 2, 2, 10, 10, 6, 2, 10, 10, 2, 1, 2, 1, 2, 1, 6, 2, 1, 1, 6, 10, 10, 1, 6, 1, 1, 10, 2, 2, 10, 2, 10, 10, 10, 1, 2, 10, 10, 2, 6, 10, 10, 6, 10, 1, 10, 4, 6, 2, 1, 10, 6, 1, 10, 2, 2, 1, 1, 6, 2, 6, 10, 2, 10, 2, 6, 1, 6, 6, 2, 1, 1, 10, 2, 6, 6, 1, 4, 1, 6, 1, 6, 10, 2, 6, 10, 10, 0, 2, 6, 1, 2, 2, 1, 1, 2, 2, 9, 10, 10, 6, 1, 10, 2, 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2, 1, 2, 1, 10, 6, 6, 2, 1, 6, 2, 2, 2, 10, 1, 1, 1, 1, 4, 10, 1, 10, 6, 6, 2, 0, 6, 2, 10, 6, 1, 2, 2, 10, 6, 10, 1, 2, 2, 6, 10, 6, 1, 10, 1, 10, 6, 2, 2, 10, 1, 10, 2, 2, 1, 2, 2, 6, 10, 10, 1, 2, 1, 10, 6, 10, 6, 1, 6, 1, 6, 10, 1, 1, 1, 10, 10, 10, 10, 6, 1, 1, 2, 2, 2, 2, 1, 6, 10, 10, 10, 1, 1, 2, 6, 1, 1, 10, 10, 1, 2, 1, 10, 10, 6, 2, 2, 2, 6, 6, 2, 6, 6, 6, 1, 6, 2, 10, 2, 10, 10, 10, 10, 1, 1, 1, 10, 10, 10, 6, 6, 2, 10, 6, 10, 1, 10, 6, 6, 2, 2, 6, 1, 2, 2, 10, 1, 1, 10, 1, 2, 2, 6, 50, 1, 6, 6, 1, 2, 2, 6, 2, 1, 10, 6, 6, 10, 1, 10, 6, 6, 1, 1, 6, 2, 10, 2, 10, 2, 5, 1, 1, 6, 10, 10, 1, 1, 2, 2, 2, 6, 10, 1, 1, 6, 10, 6, 10, 10, 10, 4, 2, 1, 2, 6, 10, 2, 10, 10, 10, 6, 2, 6, 2, 2, 10, 2, 6, 6, 10, 10, 6, 6, 2, 2, 6, 10, 6, 1, 10, 6, 9, 6, 10, 1, 1, 10, 10, 6, 10, 2, 2, 6, 1, 10, 1, 1, 10, 2, 6, 2, 2, 6, 1, 10, 1, 1, 6, 1, 6, 1, 6, 1, 1, 10, 6, 2, 1, 6, 10, 2, 6, 2, 2, 1, 6, 10, 10, 6, 10, 1, 6, 1, 10, 2, 6, 10, 2, 10, 2, 10, 6, 6, 2, 6, 1, 10, 1, 1, 2, 6, 1, 10, 10, 1, 1, 6, 1, 10, 6, 6, 10, 10, 1, 10, 1, 2, 2, 10, 6, 1, 10, 1, 1, 10, 6, 10, 6, 1, 10, 6, 10, 6, 2, 2, 2, 2, 2, 6, 6, 1, 6, 1, 6, 1, 1, 6, 6, 10, 10, 6, 2, 6, 2, 6, 1, 2, 10, 2, 6, 6, 1, 10, 6, 2, 2, 10, 1, 6, 2, 2, 1, 2, 6, 6, 1, 2, 10, 2, 10, 6, 10, 6, 6, 1, 2, 1, 1, 10, 1, 2, 2, 6, 2, 1, 2, 1, 1, 10, 6, 6, 1, 10, 6, 10, 6, 10, 6, 2, 10, 6, 6, 10, 1, 10, 6, 2, 2, 10, 10, 10, 2, 6, 10, 2, 2, 10, 1, 1, 2, 2, 2, 6, 2, 6, 2, 1, 1, 2, 6, 1, 2, 10, 10, 10, 0, 10, 10, 6, 1, 10, 1, 10, 6, 10, 10, 2, 10, 10, 2, 6, 10, 2, 6, 6, 10, 6, 10, 6, 6, 2, 10, 1, 6, 1, 10, 6, 6, 2, 2, 2, 2, 0, 1, 2, 2, 10, 5, 6, 60, 6, 1, 1, 6, 5, 6, 1, 1, 6, 6, 10, 10, 10, 6, 2, 10, 10, 1, 1, 10, 6, 1, 10, 1, 10, 10, 1, 6, 2, 6, 1, 1, 6, 1, 6, 10, 2, 1, 2, 10, 6, 1, 2, 1, 1, 1, 6, 6, 2, 10, 10, 2, 6, 1, 2, 6, 10, 6, 6, 6, 2, 10, 6, 10, 2, 2, 6, 1, 10, 6, 1, 1, 10, 10, 2, 10, 6, 10, 9, 1, 6, 10, 6, 2, 1, 1, 2, 1, 6, 2, 6, 1, 0, 10, 1, 1, 1, 6, 6, 6, 10, 2, 2, 6, 9, 5, 1, 10, 2, 6, 6, 2, 10, 2, 2, 6, 10, 6, 2, 10, 6, 6, 10, 10, 2, 1, 2, 2, 6, 6, 10, 10, 2, 6, 2, 1, 2, 6, 1, 10, 10, 1, 5, 2, 6, 10, 6, 10, 10, 1, 10, 10, 10, 1, 1, 10, 2, 1, 10, 10, 2, 10, 10, 10, 6, 6, 6, 6, 2, 10, 1, 6, 6, 10, 2, 2, 1, 6, 2, 2, 6, 1, 10, 2, 10, 2, 1, 10, 1, 2, 2, 6, 10, 6, 10, 2, 2, 1, 6, 9, 1, 1, 2, 6, 6, 10, 1, 2, 5, 6, 2, 5, 6, 6, 10, 10, 6, 6, 4, 1, 1, 1, 2, 6, 1, 2, 2, 6, 10, 6, 1, 1, 10, 2, 2, 10, 10, 2, 1, 6, 1, 2, 6, 10, 2, 6, 1, 1, 2, 1, 10, 10, 1, 5, 1, 6, 6, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 6, 6, 10, 10, 2, 10, 10, 2, 0, 2, 1, 10, 1, 10, 1, 4, 1, 1, 1, 2, 1, 2, 2, 1, 6, 10, 1, 10, 6, 9, 10, 10, 10, 2, 5, 10, 2, 10, 2, 10, 2, 6, 6, 10, 2, 6, 6, 2, 2, 2, 1, 6, 1, 2, 2, 1, 2, 2, 1, 6, 1, 1, 1, 1, 6, 2, 1, 2, 1, 10, 10, 2, 2, 10, 2, 10, 2, 10, 2, 6, 6, 6, 2, 10, 10, 2, 2, 1, 2, 2, 6, 2, 1, 1, 1, 1, 1, 1, 1, 10, 2, 6, 1, 6, 2, 2, 1, 10, 10, 6, 1, 1, 2, 10, 5, 2, 7, 1, 10, 6, 6, 6, 10, 2, 2, 10, 1, 2, 10, 6, 1, 6, 10, 0, 2, 1, 10, 1, 2, 1, 6, 1, 2, 2, 1, 1, 6, 6, 10, 10, 10, 10, 1, 10, 2, 1, 6, 2, 1, 4, 10, 2, 0, 2, 10, 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6, 10, 6, 6, 6, 2, 4, 1, 1, 2, 10, 2, 6, 10, 2, 10, 6, 2, 2, 2, 10, 10, 2, 6, 1, 10, 1, 10, 10, 1, 10, 6, 6, 6, 6, 6, 10, 10, 1, 1, 10, 1, 6, 1, 6, 10, 6, 1, 2, 1, 2, 2, 6, 10, 10, 1, 1, 1, 2, 1, 1, 5, 1, 1, 10, 6, 10, 1, 1, 6, 6, 1, 2, 1, 1, 6, 6, 10, 10, 10, 1, 2, 6, 4, 10, 1, 10, 1, 1, 1, 4, 1, 2, 6, 2, 10, 2, 6, 6, 2, 1, 1, 2, 1, 10, 1, 1, 6, 1, 2, 1, 6, 4, 6, 10, 10, 1, 6, 1, 6, 10, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 10, 10, 1, 2, 1, 2, 10, 4, 6, 6, 1, 6, 2, 2, 1, 10, 2, 1, 9, 6, 3, 1, 1, 10, 9, 10, 6, 1, 6, 10, 6, 6, 2, 2, 1, 6, 6, 9, 10, 2, 2, 1, 10, 6, 1, 1, 1, 2, 10, 1, 6, 1, 6, 1, 10, 6, 2, 10, 1, 10, 2, 10, 1, 1, 6, 2, 10, 6, 2, 10, 2, 2, 6, 10, 1, 2, 10, 6, 2, 1, 1, 6, 1, 2, 6, 10, 2, 2, 10, 6, 10, 2, 4, 4, 10, 1, 1, 2, 2, 1, 10, 6, 1, 10, 6, 1, 1, 2, 6, 10, 2, 2, 6, 1, 1, 6, 2, 1, 2, 10, 4, 6, 10, 1, 2, 6, 10, 10, 10, 6, 2, 2, 1, 1, 2, 9, 10, 6, 6, 10, 1, 10, 1, 0, 6, 10, 6, 6, 1, 10, 10, 1, 10, 2, 2, 10, 9, 6, 2, 6, 6, 1, 10, 10, 6, 1, 1, 6, 1, 1, 10, 1, 6, 1, 6, 1, 10, 2, 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9, 2, 1, 10, 6, 10, 10, 1, 6, 10, 1, 1, 2, 10, 1, 10, 10, 2, 1, 10, 5, 2, 10, 1, 1, 6, 6, 6, 6, 1, 2, 6, 1, 6, 1, 10, 1, 1, 10, 6, 10, 2, 6, 2, 2, 2, 10, 10, 6, 2, 6, 2, 1, 10, 1, 6, 6, 1, 1, 2, 4, 6, 6, 1, 5, 9, 2, 10, 10, 10, 10, 10, 10, 2, 2, 2, 10, 10, 10, 2, 1, 6, 6, 10, 2, 2, 1, 10, 2, 10, 1, 6, 10, 1, 0, 1, 5, 1, 2, 10, 1, 10, 6, 1, 10, 2, 10, 1, 6, 1, 6, 10, 1, 2, 2, 1, 2, 2, 1, 10, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 10, 1, 10, 10, 9, 6, 1, 2, 10, 10, 6, 10, 10, 1, 2, 10, 2, 50, 2, 10, 1, 10, 2, 2, 10, 1, 2, 1, 10, 2, 10, 1, 2, 10, 1, 2, 2, 10, 10, 2, 10, 2, 2, 1, 10, 1, 1, 1, 1, 1, 6, 10, 10, 10, 6, 10, 9, 1, 1, 2, 6, 2, 10, 1, 2, 6, 10, 6, 1, 1, 2, 10, 1, 6, 6, 6, 2, 1, 6, 6, 2, 1, 10, 1, 6, 6, 10, 6, 10, 2, 10, 10, 10, 6, 2, 10, 0, 6, 1, 2, 9, 10, 1, 2, 1, 10, 1, 2, 2, 6, 6, 6, 6, 6, 6, 2, 1, 6, 6, 6, 1, 10, 2, 2, 1, 1, 6, 2, 2, 6, 1, 10, 1, 1, 2, 2, 1, 2, 6, 1, 2, 6, 2, 1, 10, 2, 10, 6, 1, 10, 1, 10, 1, 6, 1, 1, 10, 6, 1, 6, 10, 1, 6, 10, 6, 6, 1, 1, 10, 2, 6, 6, 2, 1, 6, 2, 6, 2, 6, 1, 10, 1, 2, 10, 6, 6, 6, 10, 10, 10, 2, 10, 4, 10, 1, 2, 6, 10, 1, 2, 6, 10, 1, 2, 1, 1, 0, 2, 10, 1, 10, 10, 10, 6, 10, 10, 1, 10, 10, 10, 10, 6, 1, 10, 2, 1, 10, 6, 2, 2, 10, 1, 2, 1, 2, 6, 2, 1, 0, 6, 6, 10, 1, 10, 6, 6, 6, 1, 2, 6, 10, 10, 1, 2, 6, 6, 1, 1, 10, 10, 2, 2, 10, 6, 6, 1, 6, 1, 2, 10, 1, 2, 6, 1, 10, 2, 2, 1, 1, 1, 6, 4, 10, 10, 2, 2, 6, 10, 2, 10, 6, 2, 10, 2, 10, 1, 2, 1, 10, 10, 40, 10, 1, 10, 2, 2, 6, 6, 10, 10, 10, 10, 10, 2, 6, 6, 6, 10, 10, 10, 6, 6, 10, 1, 10, 1, 1, 1, 6, 0, 1, 1, 2, 10, 1, 2, 10, 6, 6, 10, 6, 1, 10, 4, 1, 10, 2, 1, 1, 10, 2, 2, 1, 10, 10, 2, 10, 2, 0, 6, 2, 1, 2, 2, 10, 1, 6, 10, 1, 6, 10, 2, 6, 1, 1, 1, 6, 6, 1, 1, 10, 2, 10, 6, 2, 1, 1, 6, 1, 10, 10, 1, 2, 10, 10, 2, 6, 2, 10, 6, 1, 1, 6, 2, 2, 1, 2, 6, 1, 2, 1, 10, 2, 6, 10, 2, 1, 6, 6, 10, 1, 1, 1, 9, 10, 6, 0, 2, 10, 6, 2, 6, 6, 6, 1, 10, 6, 1, 6, 2, 2, 2, 5, 6, 6, 6, 2, 6, 2, 10, 10, 6, 10, 10, 6, 6, 2, 6, 2, 10, 1, 10, 6, 6, 1, 6, 6, 2, 10, 1, 6, 2, 10, 6, 6, 6, 6, 1, 2, 10, 1, 6, 6, 6, 10, 1, 2, 6, 10, 2, 1, 10, 10, 6, 6, 6, 2, 5, 6, 2, 2, 1, 6, 6, 10, 2, 6, 6, 2, 1, 1, 2, 10, 2, 1, 1, 6, 10, 10, 2, 10, 2, 2, 10, 6, 5, 1, 10, 1, 1, 10, 10, 2, 1, 2, 10, 10, 2, 10, 1, 10, 1, 1, 2, 1, 2, 1, 10, 10, 10, 6, 1, 2, 6, 1, 6, 10, 1, 6, 1, 6, 1, 2, 10, 1, 6, 1, 1, 1, 6, 6, 1, 6, 1, 10, 10, 2, 2, 1, 2, 6, 60, 2, 10, 1, 2, 1, 10, 10, 10, 2, 10, 1, 9, 1, 1, 1, 2, 6, 10, 10, 2, 5, 2, 6, 6, 10, 9, 6, 1, 1, 1, 1, 0, 2, 10, 2, 4, 10, 2, 2, 6, 2, 6, 2, 10, 6, 6, 10, 10, 2, 2, 10, 1, 10, 2, 1, 6, 6, 5, 0, 6, 2, 2, 2, 10, 6, 6, 1, 6, 10, 6, 10, 1, 10, 6, 6, 6, 6, 6, 1, 10, 2, 2, 10, 6, 10, 2, 10, 2, 1, 2, 10, 6, 1, 2, 6, 1, 1, 1, 1, 10, 1, 6, 1, 10, 1, 6, 1, 1, 10, 2, 10, 2, 2, 1, 6, 4, 4, 6, 2, 5, 1, 1, 2, 10, 10, 1, 1, 2, 6, 2, 2, 1, 1, 1, 2, 6, 2, 6, 6, 10, 1, 6, 1, 2, 2, 10, 6, 5, 6, 6, 1, 6, 10, 1, 10, 2, 1, 2, 1, 1, 2, 6, 10, 1, 6, 6, 2, 1, 10, 10, 2, 6, 4, 6, 2, 6, 10, 6, 2, 6, 1, 1, 6, 5, 6, 10, 6, 1, 50, 1, 9, 1, 2, 6, 10, 2, 6, 6, 1, 10, 10, 6, 1, 6, 60, 10, 1, 1, 6, 2, 1, 9, 10, 2, 10, 2, 2, 1, 10, 6, 1, 10, 2, 6, 1, 1, 6, 10, 1, 10, 6, 10, 6, 2, 6, 6, 1, 2, 6, 2, 6, 10, 1, 1, 2, 6, 1, 1, 10, 2, 6, 10, 2, 2, 6, 1, 2, 1, 1, 2, 6, 1, 2, 1, 10, 1, 6, 2, 10, 2, 6, 1, 10, 6, 10, 10, 10, 10, 1, 6, 1, 10, 10, 2, 4, 6, 6, 6, 6, 10, 1, 10, 1, 6, 1, 6, 10, 2, 1, 1, 6, 6, 6, 2, 2, 6, 10, 1, 2, 6, 2, 1, 10, 1, 1, 9, 5, 10, 10, 6, 2, 1, 1, 2, 10, 1, 1, 2, 2, 6, 6, 6, 6, 10, 6, 1, 2, 1, 1, 10, 6, 6, 10, 1, 2, 10, 10, 2, 10, 10, 9, 10, 2, 6, 1, 6, 2, 6, 6, 6, 10, 2, 2, 1, 6, 5, 1, 10, 10, 1, 10, 6, 6, 10, 1, 2, 1, 10, 1, 1, 1, 1, 1, 9, 10, 10, 10, 6, 6, 10, 6, 1, 10, 1, 10, 10, 10, 6, 1, 6, 10, 1, 6, 1, 6, 10, 10, 10, 10, 6, 5, 1, 2, 1, 10, 6, 6, 0, 2, 2, 6, 1, 10, 6, 6, 6, 6, 10, 6, 6, 1, 6, 1, 6, 1, 6, 9, 1, 2, 2, 2, 10, 2, 10, 1, 1, 1, 6, 6, 5, 1, 2, 1, 2, 6, 6, 10, 10, 2, 10, 2, 10, 2, 1, 10, 1, 2, 6, 0, 6, 1, 10, 2, 6, 6, 10, 6, 10, 1, 1, 1, 6, 1, 1, 6, 6, 6, 1, 10, 2, 10, 10, 10, 1, 6, 10, 6, 6, 10, 2, 10, 10, 1, 10, 6, 1, 2, 2, 10, 6, 6, 0, 2, 9, 1, 2, 6, 2, 10, 2, 10, 6, 1, 2, 1, 6, 6, 2, 1, 0, 1, 2, 6, 2, 2, 10, 6, 2, 2, 10, 1, 1, 10, 10, 6, 2, 2, 10, 10, 10, 1, 6, 10, 10, 10, 1, 6, 6, 6, 1, 1, 6, 6, 1, 6, 6, 2, 10, 2, 10, 6, 2, 1, 10, 1, 2, 6, 10, 6, 1, 2, 10, 2, 2, 2, 10, 1, 10, 6, 2, 6, 1, 6, 2, 2, 10, 1, 6, 9, 6, 10, 10, 10, 10, 10, 1, 6, 2, 1, 10, 6, 6, 1, 6, 6, 2, 2, 2, 10, 10, 5, 2, 2, 6, 10, 5, 6, 10, 10, 6, 1, 1, 10, 6, 6, 1, 10, 10, 1, 10, 1, 1, 1, 2, 1, 6, 6, 10, 2, 6, 2, 10, 10, 2, 10, 2, 2, 1, 6, 6, 2, 1, 6, 10, 1, 10, 10, 1, 6, 1, 1, 1, 1, 6, 6, 10, 6, 1, 10, 6, 9, 1, 6, 1, 1, 1, 6, 6, 1, 6, 10, 2, 2, 6, 1, 6, 1, 2, 2, 1, 6, 2, 1, 6, 6, 2, 6, 2, 1, 10, 6, 2, 10, 2, 10, 6, 10, 6, 1, 10, 2, 1, 1, 6, 1, 6, 2, 6, 1, 6, 2, 1, 4, 6, 1, 2, 10, 10, 1, 2, 6, 1, 10, 1, 1, 2, 10, 6, 1, 1, 2, 1, 1, 2, 2, 2, 6, 2, 1, 2, 1, 10, 10, 6, 1, 2, 2, 6, 6, 6, 6, 1, 10, 1, 6, 1, 6, 7, 6, 2, 10, 2, 6, 10, 2, 10, 2, 1, 5, 6, 6, 6, 10, 5, 6, 10, 6, 6, 10, 6, 6, 2, 2, 2, 1, 1, 9, 2, 6, 9, 1, 6, 1, 2, 10, 1, 1, 6, 6, 10, 10, 6, 2, 6, 1, 2, 2, 10, 2, 1, 6, 2, 4, 2, 2, 2, 1, 10, 10, 2, 10, 10, 10, 6, 6, 2, 1, 6, 10, 2, 1, 6, 2, 6, 2, 6, 10, 2, 5, 1, 1, 6, 1, 1, 6, 1, 10, 1, 6, 1, 6, 2, 6, 10, 1, 6, 10, 2, 6, 2, 10, 6, 1, 1, 10, 6, 1, 6, 6, 1, 10, 10, 10, 10, 10, 10, 10, 2, 2, 6, 1, 1, 2, 1, 10, 10, 10, 10, 1, 2, 4, 10, 10, 10, 6, 2, 6, 2, 2, 10, 1, 1, 10, 10, 2, 6, 10, 10, 6, 1, 2, 6, 1, 2, 10, 6, 1, 10, 6, 6, 1, 1, 2, 2, 10, 10, 10, 6, 6, 10, 6, 1, 2, 6, 6, 6, 10, 10, 2, 1, 6, 6, 1, 2, 10, 2, 1, 6, 2, 6, 1, 10, 10, 2, 6, 10, 2, 2, 6, 10, 2, 1, 10, 6, 2, 10, 10, 10, 1, 10, 2, 2, 1, 1, 2, 2, 10, 6, 2, 6, 1, 10, 6, 1, 6, 2, 10, 6, 1, 10, 10, 6, 2, 1, 2, 10, 2, 6, 1, 6, 6, 6, 6, 10, 2, 1, 10, 10, 9, 1, 10, 2, 1, 2, 9, 10, 6, 10, 6, 5, 2, 1, 1, 10, 2, 2, 1, 4, 2, 10, 1, 6, 2, 10, 1, 1, 10, 1, 1, 10, 10, 6, 1, 10, 9, 4, 10, 1, 2, 9, 2, 6, 10, 10, 6, 6, 6, 2, 10, 2, 6, 1, 2, 1, 1, 2, 10, 5, 6, 2, 10, 6, 2, 2, 10, 6, 6, 6, 2, 6, 10, 6, 1, 6, 2, 1, 10, 10, 1, 2, 2, 2, 6, 6, 1, 1, 2, 6, 1, 1, 6, 6, 6, 1, 1, 1, 2, 6, 10, 2, 6, 1, 1, 10, 1, 6, 2, 6, 2, 6, 2, 2, 6, 6, 1, 10, 6, 1, 6, 10, 2, 10, 6, 2, 2, 10, 6, 1, 1, 2, 1, 6, 10, 10, 2, 10, 2, 2, 2, 6, 1, 1, 2, 2, 10, 10, 2, 10, 10, 1, 6, 1, 2, 10, 2, 1, 2, 2, 2, 10, 2, 1, 6, 10, 2, 2, 6, 2, 6, 10, 2, 1, 6, 1, 10, 10, 10, 2, 6, 2, 5, 10, 6, 1, 10, 10, 6, 2, 10, 6, 6, 1, 10, 6, 6, 10, 2, 10, 2, 10, 10, 1, 6, 6, 1, 1, 2, 6, 1, 1, 6, 1, 6, 2, 2, 2, 6, 2, 10, 1, 6, 1, 1, 1, 6, 1, 2, 2, 6, 10, 1, 2, 1, 2, 2, 10, 1, 10, 6, 1, 6, 10, 10, 6, 6, 2, 6, 6, 6, 2, 2, 1, 2, 1, 1, 6, 6, 6, 6, 1, 6, 6, 2, 6, 6, 2, 5, 6, 2, 2, 6, 1, 6, 9, 10, 6, 10, 9, 6, 10, 9, 10, 1, 10, 10, 1, 6, 10, 6, 10, 1, 2, 6, 2, 10, 1, 6, 2, 2, 1, 1, 10, 2, 10, 10, 2, 4, 1, 10, 10, 1, 1, 1, 6, 1, 10, 2, 2, 1, 1, 1, 9, 6, 2, 1, 6, 6, 2, 6, 1, 2, 10, 1, 6, 6, 10, 2, 6, 2, 10, 10, 6, 10, 2, 10, 6, 2, 6, 6, 10, 6, 6, 1, 1, 6, 10, 6, 2, 1, 6, 10, 1, 1, 2, 2, 1, 1, 1, 10, 6, 1, 10, 1, 4, 1, 5, 6, 2, 1, 10, 10, 6, 6, 1, 10, 1, 6, 2, 2, 2, 2, 10, 10, 6, 6, 2, 10, 2, 1, 10, 1, 10, 2, 10, 0, 10, 1, 6, 10, 6, 4, 6, 6, 1, 10, 10, 6, 6, 6, 10, 6, 6, 2, 6, 6, 1, 10, 2, 2, 2, 1, 6, 10, 10, 1, 10, 1, 2, 1, 6, 2, 2, 1, 6, 1, 10, 6, 6, 10, 2, 2, 6, 2, 2, 1, 6, 6, 1, 1, 2, 1, 6, 6, 10, 6, 2, 10, 1, 0, 6, 10, 6, 10, 0, 6, 1, 1, 10, 10, 2, 2, 10, 6, 6, 2, 6, 6, 2, 2, 6, 2, 10, 6, 10, 6, 2, 10, 1, 1, 1, 2, 1, 10, 9, 6, 2, 2, 10, 10, 10, 1, 10, 2, 10, 10, 1, 6, 5, 10, 6, 6, 2, 2, 1, 10, 10, 2, 10, 10, 10, 2, 1, 1, 2, 1, 1, 6, 1, 10, 6, 1, 2, 10, 10, 10, 6, 1, 2, 2, 6, 4, 1, 6, 10, 1, 10, 1, 2, 2, 1, 2, 1, 6, 1, 6, 6, 10, 10, 2, 10, 2, 1, 10, 2, 10, 1, 10, 10, 1, 1, 6, 0, 6, 1, 10, 10, 1, 5, 6, 6, 1, 9, 6, 10, 6, 10, 10, 6, 2, 1, 6, 2, 2, 6, 1, 10, 10, 6, 6, 2, 10, 10, 1, 10, 10, 10, 1, 1, 1, 6, 0, 6, 6, 6, 1, 1, 10, 6, 6, 10, 10, 10, 6, 1, 1, 1, 2, 1, 1, 10, 10, 1, 10, 6, 1, 2, 1, 6, 10, 6, 1, 2, 6, 10, 6, 10, 10, 2, 1, 9, 10, 1, 1, 6, 6, 6, 5, 6, 10, 2, 2, 6, 1, 10, 0, 2, 2, 6, 6, 1, 6, 1, 10, 2, 10, 6, 2, 10, 1, 1, 6, 1, 10, 6, 1, 1, 10, 1, 2, 2, 6, 2, 6, 10, 10, 6, 6, 6, 1, 6, 10, 10, 1, 10, 2, 6, 2, 2, 6, 6, 4, 2, 6, 2, 6, 6, 2, 6, 6, 10, 1, 10, 2, 6, 6, 1, 1, 10, 10, 1, 10, 2, 2, 6, 10, 2, 6, 1, 10, 2, 10, 2, 2, 10, 2, 1, 6, 10, 1, 6, 0, 1, 1, 0, 6, 2, 2, 1, 6, 2, 1, 1, 2, 2, 10, 6, 10, 10, 10, 10, 6, 6, 10, 10, 1, 6, 10, 1, 1, 2, 10, 1, 1, 6, 6, 10, 2, 1, 10, 10, 10, 6, 10, 10, 10, 2, 2, 10, 10, 2, 10, 6, 1, 2, 10, 2, 10, 1, 10, 6, 1, 6, 6, 10, 9, 2, 1, 10, 1, 2, 10, 1, 2, 10, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 10, 1, 6, 10, 2, 10, 9, 2, 6, 2, 10, 2, 10, 10, 2, 6, 1, 10, 10, 6, 10, 10, 4, 6, 6, 2, 2, 10, 6, 1, 1, 10, 6, 2, 10, 2, 6, 9, 1, 1, 6, 2, 10, 6, 2, 6, 6, 10, 2, 0, 10, 10, 2, 6, 6, 6, 10, 2, 2, 6, 1, 2, 1, 10, 2, 10, 6, 1, 2, 1, 2, 10, 10, 6, 6, 2, 1, 1, 0, 6, 2, 6, 10, 6, 1, 2, 6, 2, 1, 6, 2, 10, 10, 1, 5, 2, 10, 10, 10, 10, 6, 2, 2, 2, 6, 6, 1, 6, 6, 1, 10, 10, 2, 6, 10, 1, 0, 10, 6, 6, 6, 10, 6, 1, 6, 6, 2, 1, 6, 6, 1, 2, 2, 2, 1, 10, 2, 1, 6, 10, 2, 1, 6, 1, 2, 6, 10, 2, 6, 1, 1, 1, 6, 4, 2, 1, 10, 1, 10, 5, 1, 1, 1, 10, 1, 10, 2, 2, 10, 2, 6, 2, 10, 1, 10, 2, 10, 6, 2, 2, 10, 10, 2, 10, 1, 2, 1, 2, 1, 7, 2, 10, 6, 1, 1, 10, 1, 2, 6, 6, 10, 6, 1, 2, 2, 6, 1, 6, 1, 10, 2, 10, 2, 2, 2, 2, 6, 10, 1, 6, 10, 5, 1, 1, 2, 6, 1, 1, 10, 2, 5, 6, 6, 6, 6, 1, 2, 2, 1, 10, 9, 6, 1, 10, 6, 6, 2, 6, 1, 2, 6, 2, 2, 6, 10, 1, 6, 2, 1, 1, 1, 1, 2, 2, 10, 1, 6, 3, 10, 6, 10, 10, 9, 2, 10, 2, 10, 1, 10, 1, 6, 6, 2, 10, 10, 2, 2, 0, 6, 6, 6, 2, 6, 6, 2, 10, 2, 0, 6, 6, 2, 2, 6, 10, 2, 10, 2, 2, 10, 6, 2, 10, 2, 1, 6, 2, 1, 1, 1, 6, 2, 10, 1, 1, 6, 9, 2, 6, 2, 1, 2, 10, 6, 10, 6, 10, 10, 1, 1, 1, 6, 1, 2, 2, 1, 10, 2, 2, 2, 2, 10, 10, 2, 10, 10, 10, 2, 6, 1, 1, 6, 2, 10, 10, 2, 1, 2, 2, 6, 2, 6, 2, 6, 1, 1, 2, 2, 1, 1, 2, 2, 6, 1, 6, 10, 1, 2, 10, 1, 1, 2, 10, 10, 1, 10, 10, 10, 2, 1, 6, 6, 2, 2, 2, 9, 1, 0, 1, 10, 2, 1, 2, 2, 10, 1, 6, 10, 4, 10, 1, 2, 10, 6, 2, 1, 2, 10, 10, 6, 2, 2, 10, 1, 1, 2, 2, 2, 6, 2, 10, 1, 2, 6, 2, 4, 10, 4, 2, 10, 1, 6, 10, 2, 10, 1, 6, 1, 2, 10, 1, 1, 10, 1, 10, 10, 10, 1, 1, 1, 6, 5, 10, 6, 2, 0, 6, 6, 1, 10, 10, 10, 2, 5, 10, 1, 1, 1, 0, 2, 2, 10, 1, 10, 6, 1, 10, 10, 10, 10, 2, 6, 10, 6, 10, 6, 1, 10, 2, 1, 6, 1, 10, 1, 9, 4, 2, 2, 2, 10, 2, 6, 2, 5, 10, 6, 10, 2, 2, 6, 6, 6, 2, 1, 10, 1, 1, 6, 10, 6, 6, 2, 0, 6, 6, 6, 6, 2, 6, 10, 10, 1, 10, 10, 6, 10, 6, 1, 2, 2, 2, 1, 1, 2, 6, 6, 6, 1, 2, 10, 10, 2, 6, 1, 2, 10, 2, 10, 2, 1, 2, 10, 6, 1, 1, 1, 10, 1, 1, 1, 2, 10, 6, 2, 1, 6, 10, 2, 6, 10, 6, 6, 2, 6, 2, 10, 10, 1, 10, 0, 10, 10, 10, 10, 10, 10, 1, 6, 2, 6, 1, 1, 9, 10, 1, 10, 10, 6, 6, 2, 1, 10, 10, 6, 10, 6, 2, 10, 10, 10, 2, 2, 2, 6, 2, 2, 1, 6, 10, 10, 1, 6, 10, 2, 4, 10, 2, 2, 6, 6, 6, 10, 10, 2, 2, 1, 10, 2, 2, 6, 6, 2, 6, 2, 2, 10, 10, 6, 6, 1, 10, 10, 1, 1, 10, 6, 2, 1, 10, 1, 2, 6, 10, 1, 6, 2, 6, 10, 2, 1, 1, 6, 9, 10, 6, 6, 10, 10, 1, 10, 5, 2, 1, 2, 2, 1, 2, 6, 6, 2, 1, 2, 2, 2, 2, 6, 1, 6, 10, 6, 2, 1, 1, 1, 6, 1, 1, 5, 2, 2, 1, 10, 6, 2, 1, 1, 1, 6, 1, 10, 1, 6, 6, 2, 10, 2, 2, 9, 2, 6, 1, 6, 1, 6, 2, 2, 1, 10, 10, 9, 2, 2, 6, 6, 10, 6, 6, 1, 4, 6, 6, 2, 6, 10, 2, 2, 10, 6, 2, 10, 6, 6, 10, 1, 1, 10, 2, 10, 6, 2, 1, 1, 10, 1, 5, 10, 2, 1, 1, 10, 10, 2, 6, 1, 10, 6, 1, 6, 1, 1, 10, 1, 2, 2, 1, 1, 1, 10, 10, 2, 6, 2, 6, 6, 6, 10, 2, 10, 1, 2, 10, 1, 2, 10, 6, 2, 6, 6, 6, 1, 2, 2, 6, 10, 6, 10, 2, 4, 6, 1, 6, 6, 1, 10, 10, 2, 2, 2, 6, 2, 2, 2, 4, 2, 4, 6, 2, 2, 10, 2, 1, 1, 2, 10, 1, 10, 6, 10, 1, 6, 2, 2, 2, 1, 10, 6, 10, 10, 1, 2, 3, 4, 10, 6, 1, 10, 2, 2, 10, 6, 1, 6, 10, 6, 6, 6, 2, 10, 2, 10, 1, 10, 2, 6, 2, 2, 1, 1, 6, 1, 2, 10, 2, 10, 1, 10, 6, 10, 1, 10, 10, 10, 2, 1, 1, 6, 1, 1, 1, 10, 6, 1, 10, 10, 10, 1, 1, 10, 1, 2, 1, 9, 1, 10, 2, 2, 2, 6, 10, 9, 1, 10, 6, 2, 10, 10, 1, 6, 2, 1, 10, 1, 10, 2, 5, 6, 6, 1, 6, 10, 2, 6, 1, 6, 1, 10, 6, 1, 1, 2, 10, 2, 10, 2, 6, 10, 6, 6, 1, 10, 10, 1, 10, 1, 2, 6, 10, 10, 6, 10, 2, 10, 10, 2, 1, 6, 2, 9, 10, 2, 6, 6, 6, 1, 10, 5, 10, 6, 3, 9, 10, 1, 2, 1, 10, 10, 10, 1, 1, 10, 10, 10, 2, 2, 10, 1, 1, 1, 0, 1, 1, 10, 6, 2, 2, 9, 1, 2, 10, 10, 10, 2, 2, 6, 2, 6, 1, 1, 6, 10, 10, 10, 2, 6, 6, 2, 10, 2, 10, 2, 10, 10, 6, 10, 2, 10, 1, 6, 1, 10, 6, 10, 1, 6, 1, 6, 1, 10, 6, 6, 10, 2, 2, 6, 10, 10, 1, 10, 10, 1, 10, 10, 6, 2, 1, 2, 10, 6, 10, 10, 2, 10, 10, 6, 1, 10, 6, 2, 10, 2, 10, 6, 6, 10, 1, 2, 6, 0, 6, 6, 6, 1, 2, 2, 10, 1, 2, 2, 10, 1, 1, 6, 6, 2, 10, 6, 1, 6, 10, 10, 2, 6, 6, 1, 1, 1, 1, 2, 10, 10, 6, 6, 10, 5, 10, 6, 10, 2, 2, 2, 6, 1, 10, 6, 10, 10, 2, 10, 2, 1, 6, 2, 1, 10, 1, 1, 1, 10, 1, 2, 6, 10, 1, 6, 2, 6, 6, 6, 10, 1, 6, 6, 6, 2, 10, 1, 10, 2, 10, 1, 1, 1, 6, 1, 1, 6, 1, 6, 10, 6, 10, 1, 10, 10, 10, 1, 2, 10, 2, 1, 2, 1, 6, 6, 10, 1, 10, 6, 2, 10, 1, 6, 1, 6, 1, 6, 2, 2, 2, 10, 2, 10, 6, 1, 1, 6, 10, 6, 1, 1, 2, 6, 5, 6, 6, 6, 1, 2, 2, 1, 1, 0, 2, 10, 10, 2, 2, 6, 1, 6, 2, 1, 2, 10, 1, 2, 1, 1, 10, 6, 10, 1, 2, 2, 2, 1, 6, 1, 10, 2, 10, 1, 1, 2, 10, 10, 6, 2, 2, 1, 1, 6, 2, 2, 2, 10, 2, 1, 6, 10, 10, 5, 6, 6, 10, 1, 6, 6, 2, 10, 6, 6, 2, 6, 1, 1, 5, 1, 2, 10, 1, 1, 1, 6, 6, 2, 6, 2, 2, 6, 2, 1, 1, 10, 2, 1, 2, 6, 10, 6, 6, 1, 6, 6, 60, 6, 2, 6, 6, 1, 2, 1, 1, 6, 6, 1, 10, 6, 10, 1, 2, 2, 10, 9, 2, 2, 2, 10, 1, 10, 2, 2, 1, 1, 6, 4, 2, 10, 6, 2, 2, 2, 0, 1, 6, 10, 10, 2, 1, 6, 6, 10, 2, 6, 10, 1, 1, 10, 2, 6, 2, 10, 6, 1, 6, 10, 6, 6, 6, 10, 2, 6, 6, 6, 2, 1, 10, 1, 10, 10, 2, 10, 2, 2, 6, 6, 1, 6, 10, 1, 6, 2, 6, 6, 1, 10, 10, 6, 2, 2, 10, 2, 1, 2, 2, 6, 1, 10, 10, 10, 10, 2, 10, 10, 1, 1, 1, 1, 2, 10, 6, 10, 1, 10, 10, 1, 6, 10, 10, 10, 10, 10, 2, 2, 10, 10, 6, 2, 1, 1, 6, 6, 2, 10, 10, 1, 10, 2, 6, 1, 1, 6, 6, 6, 10, 10, 1, 1, 2, 2, 2, 6, 6, 2, 1, 1, 1, 2, 2, 10, 1, 2, 2, 10, 2, 6, 2, 1, 2, 1, 2, 1, 6, 6, 6, 10, 6, 5, 2, 6, 10, 1, 2, 6, 2, 10, 2, 10, 2, 6, 1, 2, 2, 2, 10, 2, 10, 2, 6, 6, 10, 10, 1, 2, 1, 6, 1, 10, 2, 6, 2, 6, 1, 6, 1, 0, 1, 10, 1, 10, 9, 10, 10, 1, 6, 1, 6, 1, 1, 2, 2, 6, 10, 1, 4, 1, 6, 5, 6, 10, 10, 6, 10, 1, 1, 2, 2, 1, 1, 6, 6, 10, 1, 1, 2, 1, 6, 1, 10, 6, 1, 10, 10, 10, 6, 9, 1, 2, 10, 1, 9, 10, 6, 6, 2, 1, 6, 1, 1, 10, 9, 10, 2, 6, 9, 1, 4, 2, 1, 6, 6, 2, 2, 6, 10, 6, 2, 2, 1, 1, 1, 2, 6, 2, 10, 1, 2, 1, 6, 10, 2, 6, 6, 6, 1, 10, 6, 2, 2, 10, 2, 6, 2, 10, 10, 2, 2, 10, 10, 2, 2, 10, 0, 1, 6, 1, 2, 1, 6, 2, 10, 1, 2, 2, 6, 10, 10, 2, 0, 6, 10, 6, 1, 10, 6, 2, 6, 6, 2, 1, 2, 1, 2, 9, 6, 10, 6, 0, 6, 6, 6, 10, 2, 6, 2, 6, 10, 6, 10, 2, 1, 6, 10, 2, 2, 1, 1, 2, 8, 10, 2, 2, 1, 2, 2, 1, 6, 2, 6, 10, 1, 6, 2, 6, 2, 6, 10, 1, 6, 6, 10, 10, 6, 2, 1, 1, 10, 10, 6, 2, 1, 2, 10, 6, 2, 6, 6, 2, 10, 6, 2, 10, 6, 6, 10, 1, 2, 10, 1, 10, 10, 2, 10, 1, 6, 10, 2, 6, 10, 1, 10, 1, 6, 2, 1, 2, 10, 2, 2, 10, 10, 1, 6, 10, 2, 10, 1, 10, 10, 2, 6, 1, 10, 6, 2, 6, 2, 1, 2, 1, 10, 1, 6, 2, 2, 6, 6, 6, 1, 6, 6, 10, 2, 2, 10, 1, 10, 2, 6, 6, 1, 1, 6, 10, 10, 0, 10, 2, 6, 10, 6, 6, 6, 6, 1, 1, 1, 2, 2, 1, 10, 10, 6, 5, 6, 1, 2, 6, 10, 2, 2, 10, 10, 1, 1, 10, 6, 4, 10, 2, 2, 10, 1, 6, 1, 4, 10, 6, 2, 6, 6, 6, 2, 2, 1, 1, 1, 6, 6, 10, 10, 10, 6, 6, 10, 10, 10, 1, 1, 1, 1, 10, 2, 1, 10, 2, 2, 1, 2, 6, 10, 10, 10, 2, 1, 1, 10, 1, 6, 6, 10, 1, 10, 6, 6, 10, 6, 6, 6, 1, 6, 1, 10, 1, 6, 2, 6, 10, 10, 1, 6, 1, 10, 10, 10, 2, 6, 2, 10, 1, 6, 10, 2, 10, 10, 1, 1, 1, 1, 2, 10, 6, 6, 6, 10, 6, 1, 1, 2, 2, 6, 1, 10, 6, 2, 2, 1, 1, 10, 1, 1, 6, 1, 6, 1, 6, 1, 6, 1, 1, 10, 10, 6, 10, 2, 1, 1, 10, 1, 9, 6, 1, 1, 2, 2, 6, 1, 1, 1, 10, 2, 1, 6, 10, 6, 6, 2, 10, 6, 1, 10, 10, 1, 1, 10, 10, 2, 2, 2, 1, 10, 2, 10, 10, 10, 10, 1, 10, 10, 1, 2, 10, 6, 10, 4, 10, 6, 6, 6, 6, 0, 6, 2, 1, 2, 2, 2, 2, 10, 2, 6, 10, 2, 2, 10, 6, 2, 2, 2, 1, 10, 10, 2, 10, 6, 10, 2, 2, 10, 10, 2, 10, 1, 2, 6, 2, 10, 1, 2, 2, 2, 6, 2, 10, 1, 1, 2, 10, 1, 2, 1, 2, 6, 2, 6, 2, 1, 6, 10, 1, 2, 6, 6, 2, 1, 6, 6, 2, 1, 10, 6, 1, 10, 10, 1, 10, 6, 6, 10, 2, 10, 2, 5, 6, 1, 1, 10, 6, 1, 6, 10, 2, 6, 1, 10, 1, 2, 1, 6, 2, 1, 1, 10, 1, 2, 1, 2, 1, 2, 6, 10, 1, 6, 2, 1, 6, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 10, 6, 1, 1, 10, 1, 1, 2, 1, 1, 1, 6, 1, 10, 6, 2, 2, 10, 1, 10, 2, 10, 1, 2, 10, 1, 1, 10, 6, 1, 1, 6, 10, 6, 1, 10, 10, 10, 10, 10, 10, 1, 2, 6, 2, 6, 2, 6, 2, 2, 10, 2, 1, 6, 4, 6, 6, 1, 6, 1, 6, 0, 10, 10, 10, 6, 1, 10, 10, 6, 10, 1, 6, 10, 2, 4, 1, 6, 2, 10, 6, 6, 5, 1, 1, 1, 10, 6, 2, 6, 6, 6, 1, 2, 1, 6, 1, 10, 6, 1, 6, 1, 2, 1, 1, 6, 6, 6, 10, 2, 2, 10, 2, 6, 2, 6, 1, 1, 10, 10, 1, 6, 6, 10, 2, 1, 2, 1, 10, 2, 1, 10, 6, 6, 10, 10, 2, 2, 2, 1, 10, 10, 2, 1, 2, 2, 2, 9, 6, 6, 6, 1, 1, 2, 6, 1, 1, 2, 2, 2, 5, 10, 10, 6, 6, 9, 1, 2, 4, 10, 2, 10, 10, 1, 2, 10, 1, 6, 1, 1, 1, 2, 2, 10, 1, 6, 10, 2, 2, 10, 6, 1, 10, 10, 2, 6, 1, 1, 1, 1, 6, 10, 6, 10, 1, 4, 1, 1, 6, 1, 2, 6, 10, 2, 2, 10, 1, 10, 1, 10, 1, 1, 2, 6, 6, 2, 6, 1, 2, 6, 1, 10, 6, 1, 1, 10, 2, 2, 6, 1, 2, 10, 6, 6, 10, 2, 2, 6, 4, 2, 6, 1, 10, 10, 2, 2, 6, 1, 1, 1, 1, 1, 6, 2, 1, 9, 10, 2, 10, 1, 6, 10, 10, 1, 10, 2, 10, 10, 10, 1, 6, 1, 10, 10, 10, 1, 1, 10, 1, 10, 1, 2, 6, 6, 10, 6, 6, 10, 2, 6, 1, 6, 6, 10, 10, 1, 2, 1, 1, 1, 0, 6, 6, 10, 5, 6, 9, 6, 1, 1, 6, 10, 2, 6, 6, 10, 1, 1, 1, 2, 10, 6, 2, 6, 10, 1, 2, 6, 10, 2, 2, 2, 6, 2, 6, 2, 1, 1, 2, 10, 10, 10, 1, 6, 1, 6, 2, 6, 6, 0, 1, 10, 6, 1, 1, 10, 6, 4, 10, 1, 2, 1, 2, 2, 10, 6, 6, 10, 10, 2, 2, 6, 2, 10, 1, 5, 10, 6, 1, 10, 6, 10, 10, 1, 10, 1, 10, 10, 6, 6, 6, 2, 10, 1, 6, 1, 6, 9, 10, 2, 1, 10, 2, 6, 10, 2, 2, 6, 6, 2, 10, 10, 6, 1, 10, 6, 1, 2, 6, 10, 6, 10, 6, 6, 6, 10, 10, 1, 6, 1, 9, 10, 6, 1, 2, 6, 10, 2, 10, 1, 6, 6, 1, 1, 2, 10, 1, 10, 1, 1, 2, 6, 10, 2, 10, 6, 2, 10, 2, 1, 1, 2, 2, 2, 10, 2, 6, 1, 6, 6, 1, 2, 2, 2, 10, 1, 2, 10, 4, 2, 6, 6, 2, 10, 6, 1, 10, 6, 2, 1, 10, 10, 2, 2, 1, 1, 10, 1, 10, 6, 6, 10, 6, 1, 2, 5, 10, 6, 6, 1, 6, 1, 10, 6, 4, 1, 6, 6, 1, 1, 10, 2, 6, 10, 2, 1, 6, 2, 1, 6, 6, 6, 10, 2, 10, 10, 6, 1, 1, 9, 10, 6, 6, 10, 10, 1, 1, 2, 6, 6, 1, 10, 1, 10, 1, 10, 2, 6, 2, 10, 6, 10, 2, 2, 6, 1, 10, 10, 1, 6, 10, 1, 2, 6, 10, 1, 5, 2, 1, 2, 10, 10, 10, 10, 6, 2, 10, 10, 1, 1, 2, 1, 6, 1, 1, 2, 9, 2, 1, 6, 10, 10, 1, 10, 2, 2, 10, 6, 10, 10, 10, 1, 10, 6, 6, 2, 2, 0, 2, 2, 10, 10, 2, 2, 1, 5, 6, 1, 1, 10, 2, 2, 6, 1, 10, 6, 10, 10, 9, 1, 6, 10, 10, 2, 6, 2, 2, 6, 2, 6, 1, 2, 1, 10, 1, 6, 1, 6, 1, 1, 6, 6, 10, 1, 1, 1, 10, 10, 10, 2, 10, 6, 2, 1, 2, 10, 6, 1, 5, 1, 2, 6, 6, 1, 1, 2, 2, 10, 6, 10, 10, 6, 2, 6, 6, 2, 1, 6, 10, 1, 1, 2, 6, 2, 6, 6, 6, 2, 1, 1, 10, 6, 10, 1, 1, 1, 2, 10, 1, 1, 10, 10, 6, 1, 1, 1, 10, 1, 2, 2, 1, 10, 6, 10, 6, 2, 10, 2, 2, 10, 2, 2, 10, 2, 6, 6, 6, 1, 2, 2, 2, 0, 1, 1, 1, 10, 10, 1, 2, 10, 2, 10, 2, 2, 6, 2, 6, 10, 10, 2, 10, 1, 10, 6, 1, 2, 1, 6, 6, 2, 10, 2, 10, 10, 10, 6, 2, 10, 6, 2, 6, 6, 9, 2, 2, 6, 6, 1, 1, 2, 1, 6, 1, 6, 2, 10, 10, 1, 2, 1, 2, 4, 10, 1, 1, 4, 10, 2, 6, 10, 6, 1, 10, 2, 0, 2, 6, 10, 2, 2, 2, 1, 2, 1, 6, 2, 6, 10, 1, 2, 10, 10, 2, 1, 10, 1, 6, 10, 6, 1, 1, 1, 1, 2, 1, 1, 1, 1, 10, 2, 1, 2, 10, 1, 10, 10, 2, 10, 1, 4, 1, 2, 1, 2, 6, 6, 1, 6, 2, 10, 2, 6, 1, 10, 6, 1, 6, 2, 10, 10, 1, 1, 1, 2, 2, 6, 10, 6, 10, 2, 10, 10, 6, 10, 1, 1, 6, 10, 10, 1, 6, 1, 1, 2, 10, 10, 6, 2, 6, 1, 1, 2, 2, 6, 1, 6, 2, 2, 2, 6, 1, 2, 6, 5, 2, 10, 5, 10, 10, 2, 10, 6, 1, 1, 5, 1, 10, 10, 2, 6, 6, 10, 2, 6, 6, 6, 1, 1, 2, 1, 6, 1, 2, 1, 6, 2, 10, 10, 6, 6, 1, 2, 6, 10, 1, 1, 10, 6, 10, 2, 6, 1, 1, 1, 10, 10, 10, 2, 1, 6, 1, 10, 10, 6, 1, 6, 2, 10, 10, 1, 10, 1, 10, 2, 10, 2, 10, 2, 6, 10, 6, 6, 1, 10, 10, 1, 6, 10, 1, 2, 10, 10, 6, 2, 6, 6, 1, 10, 1, 1, 6, 1, 1, 10, 10, 2, 1, 6, 10, 10, 10, 10, 1, 2, 1, 2, 6, 2, 10, 1, 2, 1, 10, 10, 6, 10, 1, 6, 6, 6, 10, 6, 2, 1, 2, 10, 2, 10, 10, 1, 1, 0, 6, 6, 2, 6, 2, 1, 2, 2, 2, 6, 10, 2, 10, 2, 2, 10, 6, 1, 1, 10, 1, 10, 1, 2, 10, 6, 1, 2, 0, 6, 6, 6, 10, 10, 6, 0, 10, 10, 10, 6, 2, 6, 1, 2, 10, 1, 10, 1, 10, 1, 6, 1, 1, 6, 2, 10, 1, 6, 1, 2, 2, 10, 10, 10, 6, 10, 2, 6, 6, 1, 10, 2, 6, 2, 9, 1, 10, 6, 2, 10, 1, 2, 10, 10, 6, 10, 1, 10, 10, 6, 1, 6, 6, 10, 2, 6, 10, 2, 6, 1, 6, 1, 1, 10, 1, 6, 6, 6, 1, 2, 10, 6, 2, 10, 2, 10, 10, 10, 1, 10, 2, 2, 10, 2, 10, 2, 10, 1, 6, 10, 2, 1, 1, 6, 1, 1, 10, 6, 6, 6, 10, 6, 1, 6, 1, 6, 10, 10, 10, 1, 2, 6, 2, 6, 10, 6, 10, 10, 1, 1, 1, 1, 2, 1, 6, 10, 1, 6, 2, 10, 1, 6, 6, 2, 10, 1, 1, 6, 1, 10, 10, 2, 2, 1, 6, 2, 1, 6, 1, 1, 6, 2, 10, 1, 2, 2, 2, 10, 1, 6, 6, 6, 2, 10, 2, 2, 1, 2, 2, 5, 10, 1, 2, 10, 10, 2, 1, 2, 10, 6, 1, 2, 10, 1, 2, 6, 1, 2, 6, 1, 1, 1, 2, 10, 1, 10, 2, 10, 6, 10, 2, 6, 2, 6, 10, 6, 2, 10, 10, 4, 5, 10, 6, 10, 2, 2, 1, 1, 6, 6, 10, 1, 10, 6, 10, 6, 1, 2, 1, 10, 10, 2, 6, 10, 6, 0, 6, 10, 6, 10, 10, 1, 1, 10, 6, 6, 1, 2, 10, 4, 1, 6, 10, 1, 2, 6, 10, 2, 9, 10, 1, 6, 6, 10, 2, 2, 6, 1, 2, 10, 2, 10, 10, 10, 6, 1, 6, 1, 1, 2, 2, 2, 10, 2, 2, 2, 1, 1, 10, 1, 5, 1, 10, 2, 10, 10, 2, 1, 10, 6, 6, 10, 6, 2, 1, 2, 10, 10, 2, 1, 6, 1, 6, 1, 2, 0, 1, 2, 10, 10, 2, 1, 1, 2, 2, 2, 2, 10, 2, 2, 1, 2, 1, 2, 6, 10, 2, 1, 1, 2, 6, 1, 1, 10, 1, 6, 2, 1, 2, 2, 2, 10, 10, 10, 1, 1, 6, 6, 1, 6, 6, 6, 6, 1, 6, 2, 2, 6, 1, 1, 10, 10, 10, 1, 1, 6, 2, 2, 6, 1, 2, 6, 0, 2, 2, 10, 6, 2, 10, 6, 0, 6, 2, 2, 6, 10, 10, 10, 6, 2, 6, 6, 1, 2, 6, 6, 6, 1, 1, 10, 2, 6, 2, 1, 10, 10, 2, 10, 2, 10, 6, 2, 10, 1, 10, 1, 2, 1, 2, 6, 2, 1, 9, 6, 4, 6, 2, 2, 6, 1, 6, 6, 2, 6, 2, 2, 10, 9, 10, 1, 6, 1, 10, 2, 6, 1, 6, 1, 9, 6, 1, 2, 1, 10, 10, 1, 6, 10, 2, 1, 6, 2, 2, 2, 2, 10, 6, 10, 2, 1, 6, 6, 2, 1, 10, 1, 10, 6, 10, 1, 2, 1, 10, 6, 10, 10, 1, 10, 10, 10, 10, 1, 2, 1, 6, 2, 2, 1, 5, 10, 6, 2, 10, 2, 6, 2, 6, 6, 1, 2, 2, 1, 6, 6, 6, 2, 10, 2, 2, 10, 6, 2, 6, 1, 6, 2, 10, 2, 10, 2, 2, 10, 10, 6, 1, 10, 10, 1, 10, 6, 6, 10, 6, 10, 6, 6, 10, 10, 1, 1, 6, 6, 1, 10, 1, 2, 1, 1, 1, 1, 2, 1, 6, 1, 6, 2, 1, 6, 10, 10, 10, 10, 10, 2, 2, 1, 2, 1, 6, 6, 2, 10, 2, 1, 1, 2, 10, 10, 6, 10, 1, 1, 6, 10, 1, 2, 2, 1, 6, 10, 6, 6, 6, 10, 6, 10, 10, 1, 10, 2, 10, 10, 4, 1, 1, 1, 10, 2, 6, 10, 1, 6, 10, 2, 1, 2, 10, 6, 6, 10, 6, 6, 2, 2, 2, 10, 2, 1, 2, 6, 1, 6, 2, 6, 2, 1, 2, 6, 1, 1, 2, 10, 1, 2, 6, 1, 10, 1, 6, 6, 10, 2, 1, 0, 6, 6, 6, 2, 2, 10, 6, 10, 1, 2, 1, 6, 10, 1, 1, 1, 1, 2, 10, 6, 6, 10, 1, 6, 2, 6, 1, 6, 2, 6, 1, 6, 2, 2, 1, 10, 2, 1, 2, 1, 10, 2, 10, 2, 6, 10, 1, 1, 1, 2, 10, 10, 1, 10, 6, 6, 2, 2, 5, 10, 2, 3, 10, 10, 1, 4, 6, 10, 2, 1, 1, 10, 2, 1, 2, 10, 2, 10, 9, 10, 10, 10, 1, 2, 2, 2, 10, 10, 10, 2, 4, 10, 2, 6, 2, 6, 6, 1, 1, 6, 1, 2, 1, 2, 1, 1, 1, 10, 1, 10, 2, 10, 10, 1, 6, 6, 1, 10, 6, 6, 6, 6, 2, 6, 10, 6, 1, 1, 6, 6, 2, 6, 2, 6, 6, 1, 6, 1, 10, 6, 6, 2, 6, 10, 2, 10, 1, 10, 6, 2, 10, 2, 6, 6, 2, 2, 10, 6, 10, 6, 10, 1, 6, 2, 1, 6, 6, 10, 6, 1, 6, 2, 6, 6, 10, 10, 2, 2, 2, 10, 6, 10, 6, 1, 6, 6, 6, 10, 2, 1, 6, 4, 2, 2, 10, 1, 10, 2, 1, 1, 1, 6, 6, 1, 0, 6, 6, 1, 10, 6, 6, 10, 10, 6, 2, 6, 10, 6, 2, 10, 2, 6, 2, 6, 1, 10, 10, 6, 1, 6, 2, 2, 6, 6, 6, 10, 2, 1, 6, 10, 2, 2, 10, 10, 10, 10, 1, 6, 6, 0, 6, 10, 6, 10, 1, 1, 1, 10, 2, 1, 6, 6, 1, 6, 9, 2, 10, 2, 1, 1, 1, 1, 1, 6, 10, 1, 2, 2, 2, 6, 2, 6, 6, 2, 6, 6, 10, 6, 1, 10, 6, 1, 10, 6, 1, 10, 1, 6, 6, 2, 1, 2, 6, 10, 2, 6, 2, 1, 1, 6, 1, 1, 6, 2, 1, 10, 2, 2, 1, 1, 10, 2, 2, 6, 2, 6, 6, 6, 2, 1, 10, 6, 10, 10, 6, 10, 6, 2, 10, 1, 6, 2, 10, 10, 1, 1, 0, 6, 1, 10, 2, 6, 10, 10, 6, 10, 10, 6, 2, 2, 2, 6, 6, 1, 10, 40, 1, 10, 2, 6, 0, 2, 2, 1, 1, 10, 2, 10, 2, 6, 6, 10, 6, 10, 1, 1, 10, 1, 10, 10, 1, 1, 1, 10, 0, 6, 2, 2, 1, 6, 2, 6, 2, 6, 9, 6, 2, 10, 6, 2, 6, 10, 7, 8, 6, 1, 1, 6, 6, 2, 6, 6, 10, 10, 6, 2, 6, 10, 6, 2, 2, 10, 10, 2, 10, 2, 1, 1, 1, 10, 1, 6, 10, 2, 2, 6, 2, 1, 10, 6, 6, 2, 6, 2, 6, 2, 10, 6, 10, 1, 10, 5, 6, 6, 10, 1, 2, 10, 1, 1, 6, 6, 10, 10, 2, 1, 1, 6, 2, 2, 10, 10, 6, 6, 6, 10, 10, 2, 2, 10, 6, 10, 2, 10, 2, 1, 10, 6, 10, 1, 9, 4, 2, 1, 6, 2, 2, 10, 10, 10, 10, 2, 1, 2, 1, 1, 2, 2, 1, 6, 10, 10, 10, 6, 1, 2, 10, 2, 10, 6, 10, 6, 2, 10, 1, 10, 10, 10, 6, 6, 6, 6, 2, 1, 10, 2, 6, 2, 2, 10, 6, 6, 10, 2, 10, 10, 2, 1, 1, 10, 10, 10, 2, 6, 10, 2, 6, 1, 1, 1, 6, 6, 2, 10, 10, 1, 2, 10, 6, 10, 1, 4, 1, 6, 2, 2, 10, 6, 2, 2, 6, 1, 2, 2, 1, 1, 6, 6, 10, 6, 6, 2, 6, 6, 6, 1, 10, 10, 1, 2, 1, 1, 9, 10, 10, 1, 10, 2, 1, 2, 6, 1, 2, 6, 10, 10, 1, 10, 9, 1, 6, 6, 6, 6, 2, 10, 1, 10, 1, 6, 2, 2, 2, 10, 6, 1, 6, 0, 6, 6, 4, 6, 10, 2, 2, 1, 2, 1, 6, 10, 10, 2, 2, 1, 10, 6, 4, 1, 10, 2, 1, 2, 5, 2, 10, 6, 6, 6, 10, 2, 10, 6, 1, 10, 6, 6, 6, 2, 1, 2, 2, 2, 10, 6, 10, 10, 6, 2, 2, 1, 4, 1, 2, 2, 6, 6, 2, 10, 10, 6, 10, 2, 10, 10, 1, 2, 6, 10, 1, 10, 10, 6, 10, 1, 1, 10, 2, 10, 2, 6, 2, 1, 1, 6, 6, 6, 2, 2, 6, 2, 10, 2, 6, 6, 2, 1, 10, 10, 6, 10, 6, 6, 1, 9, 6, 10, 2, 1, 6, 2, 6, 6, 6, 5, 1, 1, 6, 10, 1, 6, 1, 2, 1, 1, 2, 1, 1, 6, 2, 10, 2, 10, 1, 6, 2, 6, 6, 10, 2, 1, 2, 10, 6, 6, 6, 2, 10, 2, 10, 1, 10, 6, 2, 10, 10, 2, 2, 10, 6, 1, 2, 10, 10, 2, 1, 1, 1, 2, 10, 1, 6, 1, 6, 1, 10, 2, 10, 1, 10, 2, 10, 1, 2, 2, 6, 10, 6, 2, 10, 6, 6, 10, 10, 1, 10, 2, 6, 1, 6, 10, 10, 2, 10, 1, 10, 6, 2, 10, 6, 6, 6, 1, 5, 1, 9, 10, 6, 10, 10, 2, 2, 6, 6, 1, 10, 10, 10, 6, 2, 2, 2, 9, 10, 1, 1, 10, 2, 10, 1, 10, 2, 10, 1, 10, 2, 1, 2, 10, 2, 10, 4, 2, 10, 10, 1, 2, 10, 2, 2, 10, 10, 10, 10, 6, 2, 10, 1, 10, 1, 1, 2, 10, 1, 10, 6, 10, 10, 1, 1, 6, 2, 2, 10, 2, 6, 10, 2, 2, 2, 6, 6, 6, 10, 6, 10, 1, 1, 10, 6, 6, 6, 10, 2, 9, 4, 2, 10, 1, 10, 6, 10, 10, 10, 2, 6, 10, 2, 2, 2, 1, 10, 10, 10, 1, 10, 1, 10, 1, 1, 6, 10, 1, 1, 6, 10, 2, 10, 10, 2, 1, 6, 2, 2, 1, 6, 2, 2, 6, 6, 6, 2, 2, 6, 6, 6, 6, 10, 6, 10, 2, 6, 10, 1, 10, 6, 6, 2, 6, 10, 10, 2, 6, 10, 1, 2, 1, 6, 2, 10, 1, 6, 2, 6, 10, 1, 2, 2, 6, 6, 6, 4, 2, 2, 1, 6, 10, 2, 1, 6, 1, 2, 2, 1, 9, 6, 2, 4, 1, 1, 1, 2, 6, 6, 10, 2, 1, 2, 1, 0, 6, 2, 10, 1, 6, 10, 1, 10, 1, 10, 2, 10, 2, 6, 6, 2, 10, 2, 2, 2, 6, 6, 10, 1, 1, 1, 6, 6, 5, 6, 2, 6, 1, 2, 6, 2, 6, 1, 5, 1, 2, 1, 1, 1, 6, 2, 10, 6, 2, 6, 1, 2, 10, 2, 6, 2, 2, 10, 2, 10, 10, 9, 4, 6, 1, 6, 10, 2, 6, 6, 1, 6, 6, 2, 2, 1, 2, 10, 6, 2, 1, 2, 10, 2, 6, 1, 9, 1, 1, 2, 10, 10, 2, 6, 2, 10, 1, 10, 2, 10, 1, 10, 1, 2, 6, 1, 6, 2, 6, 1, 6, 2, 1, 2, 2, 2, 6, 6, 10, 6, 10, 6, 6, 1, 2, 10, 1, 6, 1, 2, 1, 6, 2, 2, 6, 6, 10, 6, 1, 2, 1, 10, 10, 2, 1, 1, 10, 1, 6, 2, 6, 2, 10, 1, 2, 2, 10, 2, 1, 10, 2, 1, 2, 2, 10, 2, 10, 2, 2, 6, 2, 2, 2, 6, 6, 6, 2, 10, 1, 6, 2, 6, 10, 10, 2, 10, 2, 6, 2, 1, 1, 1, 6, 2, 1, 6, 10, 10, 10, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 10, 1, 2, 2, 10, 5, 2, 10, 6, 2, 1, 10, 10, 1, 6, 10, 10, 10, 10, 6, 6, 2, 10, 1, 6, 2, 2, 2, 2, 2, 2, 1, 6, 10, 6, 2, 2, 2, 10, 10, 6, 10, 2, 1, 6, 6, 2, 10, 1, 1, 2, 6, 6, 6, 2, 6, 2, 10, 6, 2, 6, 10, 4, 2, 2, 6, 2, 6, 1, 10, 1, 2, 1, 1, 10, 6, 2, 6, 2, 10, 1, 6, 10, 2, 6, 6, 2, 10, 10, 6, 1, 2, 6, 2, 6, 1, 2, 1, 1, 10, 2, 2, 6, 6, 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10, 1, 6, 10, 4, 10, 2, 1, 1, 10, 1, 6, 10, 10, 2, 4, 6, 1, 6, 4, 10, 1, 6, 10, 1, 2, 10, 6, 6, 1, 2, 1, 6, 2, 6, 6, 2, 1, 1, 10, 2, 10, 1, 0, 1, 6, 1, 10, 2, 6, 9, 6, 9, 6, 10, 10, 10, 10, 6, 1, 10, 6, 2, 1, 2, 10, 10, 2, 6, 9, 2, 6, 10, 2, 2, 6, 6, 1, 10, 10, 1, 10, 1, 2, 10, 2, 6, 10, 1, 2, 10, 2, 1, 6, 10, 1, 6, 6, 10, 2, 6, 1, 6, 2, 1, 10, 1, 10, 10, 10, 1, 2, 10, 2, 1, 4, 2, 10, 6, 2, 10, 5, 6, 6, 6, 6, 10, 2, 10, 1, 6, 6, 0, 6, 2, 1, 1, 6, 10, 9, 4, 2, 6, 1, 6, 10, 1, 1, 2, 6, 6, 1, 1, 1, 10, 2, 10, 10, 1, 6, 10, 10, 2, 6, 6, 2, 2, 10, 6, 10, 1, 2, 6, 6, 2, 1, 2, 6, 10, 2, 6, 1, 2, 6, 2, 4, 1, 6, 1, 2, 6, 10, 1, 2, 1, 2, 2, 10, 10, 1, 2, 1, 2, 6, 2, 10, 2, 2, 10, 1, 1, 1, 10, 9, 6, 10, 6, 2, 4, 1, 5, 2, 1, 6, 1, 6, 10, 1, 1, 6, 1, 6, 2, 6, 10, 10, 10, 2, 10, 6, 10, 6, 1, 2, 2, 6, 10, 10, 6, 10, 6, 6, 2, 1, 2, 2, 1, 6, 10, 6, 1, 2, 1, 6, 10, 10, 2, 2, 10, 1, 1, 6, 40, 2, 1, 6, 6, 2, 2, 10, 10, 10, 1, 1, 1, 10, 6, 1, 2, 2, 6, 6, 1, 1, 2, 10, 1, 6, 10, 1, 1, 5, 1, 2, 6, 6, 10, 1, 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1, 10, 10, 2, 2, 1, 2, 6, 6, 6, 10, 2, 2, 2, 10, 10, 6, 1, 10, 6, 2, 10, 1, 1, 6, 10, 1, 2, 1, 6, 10, 6, 10, 1, 2, 10, 6, 2, 1, 6, 1, 1, 1, 2, 6, 2, 10, 10, 2, 1, 1, 6, 6, 2, 6, 6, 6, 6, 1, 6, 6, 2, 0, 10, 1, 6, 10, 1, 2, 10, 6, 2, 6, 2, 6, 2, 10, 6, 10, 10, 10, 2, 2, 10, 2, 10, 1, 10, 6, 2, 1, 6, 6, 1, 2, 2, 2, 10, 5, 1, 2, 6, 6, 1, 10, 6, 1, 10, 10, 2, 2, 2, 2, 6, 6, 2, 1, 6, 1, 1, 2, 6, 2, 10, 10, 10, 10, 1, 10, 2, 1, 10, 2, 1, 10, 6, 10, 6, 10, 2, 10, 10, 10, 1, 6, 1, 10, 1, 10, 1, 2, 10, 2, 2, 6, 0, 10, 2, 10, 2, 2, 6, 6, 10, 2, 1, 2, 1, 1, 6, 6, 6, 1, 2, 6, 10, 1, 1, 4, 10, 10, 10, 10, 10, 2, 1, 10, 10, 6, 10, 10, 2, 6, 6, 2, 10, 6, 2, 2, 6, 1, 2, 2, 10, 10, 1, 2, 1, 1, 1, 6, 6, 10, 1, 2, 10, 1, 10, 1, 1, 2, 2, 1, 6, 6, 6, 10, 2, 2, 6, 1, 2, 1, 10, 6, 1, 1, 10, 2, 10, 10, 10, 10, 1, 1, 6, 6, 0, 0, 1, 6, 6, 2, 10, 2, 2, 1, 10, 1, 10, 2, 6, 2, 2, 6, 10, 1, 2, 0, 0, 10, 1, 1, 10, 1, 2, 10, 2, 10, 10, 2, 6, 1, 6, 10, 10, 1, 10, 10, 10, 10, 2, 6, 10, 10, 6, 2, 10, 1, 2, 10, 2, 9, 2, 1, 1, 6, 1, 1, 1, 10, 6, 6, 2, 6, 4, 2, 6, 1, 1, 10, 50, 6, 6, 6, 2, 6, 10, 2, 1, 10, 6, 1, 10, 10, 1, 6, 10, 1, 10, 1, 6, 1, 2, 6, 2, 10, 2, 2, 6, 1, 10, 1, 10, 10, 2, 1, 10, 2, 10, 10, 2, 6, 10, 2, 10, 10, 1, 2, 2, 10, 1, 10, 10, 2, 10, 10, 6, 2, 1, 6, 6, 1, 1, 10, 2, 2, 2, 1, 6, 1, 10, 10, 5, 10, 1, 6, 10, 6, 6, 6, 10, 9, 6, 6, 2, 6, 1, 10, 10, 10, 2, 6, 2, 1, 10, 10, 6, 6, 6, 6, 2, 2, 2, 1, 1, 6, 2, 5, 10, 1, 10, 2, 6, 2, 2, 9, 2, 1, 2, 2, 1, 2, 2, 2, 6, 6, 2, 2, 10, 10, 4, 10, 2, 2, 6, 2, 6, 1, 10, 2, 2, 1, 2, 6, 1, 10, 1, 10, 10, 10, 2, 1, 1, 1, 10, 2, 10, 10, 2, 6, 10, 6, 2, 5, 1, 4, 6, 2, 1, 6, 2, 2, 1, 1, 1, 10, 6, 10, 10, 2, 2, 6, 10, 10, 2, 6, 6, 10, 1, 10, 6, 10, 1, 2, 6, 6, 10, 6, 1, 6, 2, 6, 6, 2, 2, 10, 2, 1, 1, 1, 1, 6, 6, 6, 2, 1, 6, 2, 1, 2, 2, 10, 4, 2, 2, 6, 6, 1, 2, 6, 10, 6, 6, 6, 2, 10, 2, 2, 1, 1, 6, 2, 1, 10, 6, 10, 0, 1, 2, 1, 0, 6, 2, 1, 1, 1, 10, 1, 10, 10, 10, 6, 10, 6, 2, 10, 6, 0, 1, 6, 10, 2, 10, 2, 6, 10, 2, 6, 10, 10, 2, 10, 6, 10, 6, 6, 6, 2, 10, 1, 1, 10, 10, 2, 10, 6, 2, 10, 1, 2, 1, 2, 6, 10, 1, 5, 2, 10, 10, 6, 6, 6, 1, 1, 4, 6, 1, 10, 1, 1, 1, 6, 6, 10, 1, 1, 6, 6, 1, 10, 6, 1, 6, 6, 1, 6, 10, 1, 0, 6, 2, 2, 4, 1, 10, 2, 2, 10, 2, 6, 1, 1, 6, 1, 1, 1, 2, 6, 2, 10, 1, 2, 1, 10, 6, 1, 1, 10, 10, 10, 1, 2, 1, 6, 10, 10, 10, 2, 1, 6, 10, 2, 6, 2, 6, 10, 0, 1, 2, 10, 10, 10, 2, 1, 6, 1, 1, 6, 6, 2, 0, 10, 6, 6, 2, 2, 2, 2, 6, 1, 6, 6, 7, 10, 2, 6, 1, 6, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 6, 2, 1, 6, 10, 9, 6, 2, 6, 2, 10, 1, 10, 10, 6, 6, 1, 10, 10, 2, 2, 10, 10, 1, 2, 1, 1, 10, 1, 6, 2, 1, 1, 1, 6, 10, 12, 1, 10, 2, 1, 2, 10, 2, 9, 1, 1, 10, 6, 10, 10, 6, 1, 10, 10, 2, 6, 10, 1, 6, 6, 10, 1, 2, 2, 1, 10, 1, 1, 6, 2, 2, 2, 1, 6, 10, 10, 6, 1, 2, 2, 10, 6, 10, 1, 6, 10, 1, 10, 2, 2, 1, 2, 1, 2, 1, 10, 1, 1, 6, 2, 6, 6, 2, 0, 6, 2, 4, 1, 1, 1, 2, 10, 6, 4, 10, 1, 6, 2, 6, 2, 10, 1, 5, 1, 10, 6, 1, 2, 10, 6, 1, 2, 6, 1, 6, 1, 1, 6, 1, 9, 6, 6, 2, 2, 6, 6, 6, 10, 6, 10, 6, 1, 10, 6, 1, 1, 2, 1, 10, 2, 1, 1, 10, 1, 6, 10, 1, 2, 9, 1, 6, 1, 6, 10, 10, 2, 1, 6, 2, 2, 1, 2, 10, 2, 10, 2, 1, 10, 6, 10, 0, 2, 6, 1, 6, 2, 6, 6, 6, 6, 1, 2, 2, 2, 1, 1, 1, 1, 1, 10, 2, 6, 2, 6, 2, 10, 1, 0, 1, 1, 10, 1, 1, 2, 1, 2, 10, 1, 1, 6, 2, 6, 1, 1, 2, 2, 10, 2, 6, 2, 6, 2, 10, 9, 2, 2, 1, 6, 2, 2, 2, 10, 6, 2, 10, 6, 10, 2, 1, 10, 10, 6, 10, 6, 10, 1, 2, 1, 2, 2, 6, 10, 1, 1, 1, 1, 2, 1, 2, 1, 6, 1, 1, 6, 6, 2, 6, 10, 2, 10, 6, 10, 1, 1, 10, 2, 2, 1, 2, 10, 10, 2, 10, 2, 6, 6, 2, 2, 6, 2, 1, 6, 10, 2, 1, 6, 6, 1, 10, 10, 2, 1, 2, 1, 10, 6, 2, 2, 2, 6, 6, 10, 4, 10, 10, 10, 2, 2, 6, 1, 6, 2, 10, 2, 10, 1, 1, 6, 10, 10, 10, 2, 1, 6, 1, 1, 6, 1, 2, 6, 1, 2, 10, 2, 10, 2, 1, 6, 2, 10, 10, 1, 2, 2, 1, 1, 0, 2, 6, 2, 2, 2, 1, 1, 10, 10, 6, 1, 6, 10, 1, 10, 1, 2, 6, 1, 2, 2, 6, 1, 6, 2, 2, 1, 10, 1, 2, 2, 1, 2, 2, 1, 2, 10, 6, 2, 10, 2, 2, 1, 10, 10, 10, 10, 2, 1, 1, 6, 1, 6, 0, 1, 1, 1, 10, 2, 1, 1, 1, 6, 2, 10, 2, 1, 1, 10, 1, 6, 6, 1, 2, 10, 10, 6, 6, 2, 2, 2, 1, 2, 2, 1, 10, 1, 10, 10, 1, 6, 1, 2, 0, 1, 2, 2, 10, 1, 10, 2, 1, 1, 10, 10, 10, 10, 10, 2, 10, 6, 10, 1, 2, 10, 6, 6, 2, 6, 1, 2, 1, 2, 1, 2, 6, 2, 1, 10, 1, 1, 10, 2, 2, 6, 6, 6, 10, 2, 2, 6, 2, 2, 6, 10, 6, 1, 4, 10, 2, 2, 2, 1, 2, 6, 6, 2, 2, 10, 2, 6, 10, 6, 2, 2, 10, 6, 2, 4, 6, 2, 10, 2, 4, 1, 6, 1, 1, 10, 10, 2, 10, 10, 10, 4, 2, 6, 6, 1, 2, 1, 2, 10, 6, 6, 10, 10, 2, 6, 10, 6, 6, 6, 10, 10, 6, 10, 2, 6, 6, 6, 1, 2, 10, 10, 1, 10, 2, 6, 4, 2, 6, 2, 6, 2, 10, 2, 10, 2, 2, 6, 6, 6, 6, 6, 10, 1, 10, 10, 10, 6, 1, 1, 1, 1, 2, 10, 10, 1, 2, 10, 1, 1, 10, 6, 1, 2, 2, 6, 10, 1, 10, 10, 2, 1, 1, 2, 2, 2, 6, 1, 2, 6, 6, 2, 2, 2, 2, 10, 1, 4, 1, 2, 1, 6, 1, 6, 1, 6, 1, 1, 6, 1, 1, 10, 10, 10, 2, 1, 1, 10, 6, 10, 1, 6, 1, 2, 10, 10, 10, 6, 2, 6, 10, 10, 2, 1, 1, 6, 10, 2, 1, 6, 6, 1, 1, 1, 10, 6, 6, 4, 1, 10, 10, 2, 1, 10, 1, 6, 10, 10, 6, 2, 10, 1, 2, 1, 2, 2, 1, 10, 10, 10, 1, 1, 2, 2, 1, 6, 1, 1, 6, 10, 5, 10, 6, 1, 2, 1, 1, 2, 1, 6, 2, 1, 1, 10, 10, 6, 2, 10, 1, 0, 6, 6, 10, 6, 10, 2, 2, 6, 2, 2, 2, 2, 6, 2, 2, 10, 10, 4, 2, 10, 2, 1, 1, 1, 10, 10, 2, 9, 6, 1, 1, 10, 2, 6, 6, 1, 4, 10, 6, 2, 10, 1, 10, 6, 6, 10, 1, 1, 6, 10, 1, 10, 2, 10, 2, 2, 1, 2, 10, 6, 2, 10, 40, 2, 10, 10, 2, 1, 2, 10, 6, 1, 6, 6, 2, 10, 1, 10, 10, 1, 10, 10, 10, 2, 2, 10, 10, 6, 1, 1, 2, 2, 10, 1, 2, 10, 10, 1, 6, 10, 1, 10, 10, 2, 2, 10, 1, 10, 2, 2, 6, 10, 2, 6, 6, 10, 6, 2, 1, 6, 10, 1, 2, 6, 10, 10, 2, 5, 2, 1, 1, 1, 10, 1, 6, 6, 1, 6, 6, 6, 2, 1, 6, 2, 1, 10, 2, 1, 10, 6, 10, 1, 6, 10, 1, 1, 1, 1, 10, 1, 6, 2, 2, 2, 10, 2, 6, 6, 10, 2, 10, 2, 2, 6, 6, 1, 6, 10, 4, 1, 10, 6, 6, 6, 10, 2, 4, 10, 6, 10, 6, 2, 1, 1, 6, 1, 1, 2, 6, 1, 1, 6, 2, 1, 1, 10, 1, 2, 1, 2, 0, 1, 10, 1, 1, 10, 10, 1, 5, 6, 10, 1, 6, 1, 1, 1, 6, 10, 10, 6, 10, 6, 9, 1, 10, 2, 6, 6, 10, 2, 10, 2, 2, 1, 1, 10, 0, 10, 1, 6, 6, 10, 6, 2, 10, 2, 1, 6, 10, 0, 2, 1, 2, 2, 10, 4, 1, 2, 10, 1, 2, 2, 10, 1, 6, 6, 6, 2, 2, 6, 2, 6, 6, 2, 6, 2, 10, 1, 1, 1, 1, 2, 10, 10, 2, 2, 4, 6, 6, 10, 1, 6, 10, 1, 10, 10, 1, 2, 4, 1, 2, 6, 6, 1, 9, 10, 1, 1, 6, 10, 10, 2, 10, 2, 10, 10, 10, 6, 2, 10, 6, 1, 0, 1, 2, 6, 1, 10, 10, 10, 10, 10, 6, 10, 6, 6, 10, 10, 10, 2, 1, 1, 1, 10, 2, 6, 0, 6, 1, 2, 2, 6, 1, 2, 1, 2, 2, 10, 1, 6, 1, 1, 10, 6, 1, 2, 2, 1, 1, 2, 10, 10, 2, 10, 2, 10, 2, 10, 2, 6, 2, 6, 10, 10, 1, 2, 2, 10, 10, 2, 0, 10, 1, 1, 10, 2, 6, 2, 5, 1, 2, 6, 5, 2, 10, 6, 6, 1, 10, 2, 2, 10, 10, 6, 10, 2, 10, 9, 10, 2, 2, 10, 10, 10, 1, 2, 10, 6, 10, 6, 6, 1, 6, 2, 10, 2, 5, 1, 10, 2, 6, 10, 6, 10, 6, 6, 10, 10, 1, 1, 1, 2, 1, 10, 10, 10, 1, 2, 1, 10, 10, 1, 6, 10, 2, 2, 10, 1, 1, 2, 2, 10, 2, 10, 6, 10, 2, 6, 10, 6, 6, 6, 6, 10, 2, 2, 1, 5, 10, 2, 10, 6, 1, 10, 1, 6, 6, 10, 6, 10, 2, 1, 2, 6, 6, 10, 10, 2, 6, 10, 6, 1, 2, 2, 1, 6, 1, 2, 1, 1, 2, 6, 6, 6, 10, 6, 6, 6, 2, 0, 1, 2, 1, 6, 10, 6, 10, 2, 2, 10, 6, 1, 2, 6, 6, 9, 2, 1, 6, 1, 2, 10, 1, 10, 1, 10, 1, 1, 10, 2, 2, 10, 6, 1, 2, 2, 6, 2, 2, 1, 2, 2, 2, 2, 10, 6, 9, 1, 1, 1, 10, 1, 10, 6, 1, 10, 10, 6, 0, 10, 10, 1, 6, 9, 6, 1, 6, 2, 1, 6, 2, 10, 6, 1, 1, 1, 10, 1, 10, 6, 10, 2, 1, 10, 6, 2, 1, 10, 10, 6, 6, 2, 6, 10, 10, 6, 10, 6, 2, 6, 1, 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1, 2, 10, 6, 1, 6, 10, 1, 1, 2, 10, 6, 10, 2, 1, 2, 2, 10, 2, 2, 2, 6, 2, 1, 10, 10, 5, 1, 10, 6, 1, 10, 1, 2, 1, 2, 10, 2, 2, 1, 1, 10, 10, 2, 2, 0, 1, 10, 10, 2, 10, 2, 1, 10, 2, 2, 1, 6, 2, 1, 6, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 6, 2, 2, 2, 1, 2, 2, 6, 1, 10, 2, 1, 6, 0, 10, 2, 10, 10, 6, 1, 10, 1, 10, 2, 6, 10, 1, 1, 1, 6, 2, 1, 6, 6, 6, 2, 1, 1, 6, 6, 2, 10, 6, 1, 6, 10, 1, 1, 2, 10, 6, 2, 2, 2, 10, 1, 2, 10, 10, 1, 10, 6, 10, 4, 10, 2, 1, 10, 1, 10, 2, 10, 10, 1, 2, 10, 1, 10, 10, 9, 1, 6, 10, 6, 10, 10, 2, 9, 2, 10, 1, 1, 2, 6, 2, 10, 0, 2, 1, 10, 2, 6, 1, 10, 2, 10, 6, 10, 10, 2, 1, 2, 4, 1, 10, 10, 6, 2, 10, 6, 2, 1, 10, 1, 10, 10, 6, 1, 1, 2, 1, 10, 2, 6, 2, 1, 2, 10, 1, 1, 6, 10, 6, 6, 2, 10, 10, 6, 2, 6, 2, 2, 10, 1, 6, 2, 2, 1, 1, 6, 1, 2, 2, 6, 2, 6, 1, 10, 6, 10, 6, 6, 1, 10, 1, 2, 6, 2, 6, 2, 2, 2, 1, 10, 1, 6, 10, 10, 10, 6, 10, 1, 2, 2, 2, 1, 1, 2, 10, 2, 2, 1, 1, 1, 1, 10, 10, 10, 10, 1, 10, 10, 1, 6, 10, 2, 2, 1, 2, 6, 2, 10, 1, 1, 10, 10, 1, 10, 2, 10, 6, 9, 2, 5, 6, 6, 10, 6, 10, 6, 1, 1, 10, 1, 1, 1, 6, 1, 0, 10, 1, 10, 1, 2, 1, 6, 5, 2, 2, 10, 6, 2, 1, 2, 10, 1, 10, 1, 6, 2, 2, 10, 10, 10, 6, 1, 10, 2, 1, 10, 2, 9, 2, 6, 0, 2, 10, 10, 1, 1, 2, 2, 2, 1, 2, 10, 6, 1, 6, 10, 2, 1, 6, 1, 6, 6, 10, 6, 10, 10, 1, 2, 1, 2, 10, 2, 2, 6, 6, 9, 1, 10, 10, 6, 2, 1, 1, 2, 2, 6, 1, 2, 10, 6, 2, 1, 6, 6, 2, 10, 10, 10, 1, 10, 10, 10, 2, 2, 10, 10, 10, 6, 2, 10, 1, 1, 6, 6, 6, 6, 10, 1, 6, 2, 10, 6, 1, 10, 10, 2, 2, 10, 2, 1, 2, 2, 10, 1, 6, 6, 2, 5, 2, 2, 10, 6, 2, 2, 6, 10, 2, 10, 10, 6, 6, 1, 6, 1, 6, 10, 1, 1, 10, 6, 10, 1, 2, 10, 1, 1, 2, 10, 1, 6, 1, 2, 2, 0, 2, 10, 2, 2, 10, 6, 6, 1, 6, 10, 2, 1, 10, 10, 6, 2, 2, 1, 1, 6, 1, 2, 10, 1, 2, 1, 10, 2, 6, 10, 1, 1, 5, 2, 2, 2, 2, 2, 1, 10, 10, 1, 1, 10, 6, 10, 2, 10, 6, 1, 1, 2, 1, 6, 10, 6, 2, 2, 2, 9, 6, 1, 2, 2, 2, 6, 10, 10, 2, 2, 1, 10, 10, 10, 2, 6, 1, 10, 6, 2, 4, 10, 10, 6, 10, 10, 10, 1, 10, 2, 1, 2, 1, 2, 6, 9, 10, 2, 1, 10, 1, 2, 1, 40, 6, 6, 1, 1, 10, 0, 1, 6, 10, 10, 1, 6, 10, 2, 2, 1, 2, 2, 2, 10, 10, 6, 6, 2, 1, 10, 6, 5, 2, 6, 10, 1, 2, 10, 2, 10, 1, 2, 6, 10, 6, 5, 2, 6, 6, 6, 2, 1, 2, 1, 2, 1, 10, 10, 6, 1, 6, 2, 2, 10, 2, 2, 2, 6, 10, 1, 2, 10, 2, 6, 2, 1, 2, 2, 1, 2, 10, 10, 1, 2, 1, 10, 10, 1, 2, 10, 6, 2, 10, 6, 1, 10, 6, 1, 6, 2, 6, 1, 1, 10, 6, 6, 1, 10, 10, 1, 2, 2, 2, 4, 2, 1, 2, 6, 1, 6, 6, 1, 10, 10, 6, 1, 6, 10, 10, 1, 6, 2, 2, 6, 6, 10, 2, 2, 2, 5, 1, 6, 6, 10, 10, 1, 10, 2, 10, 3, 2, 2, 6, 2, 1, 1, 2, 1, 10, 1, 6, 10, 1, 1, 10, 2, 2, 6, 6, 10, 10, 1, 2, 1, 10, 1, 10, 1, 1, 10, 6, 6, 10, 6, 2, 1, 10, 2, 2, 0, 2, 1, 10, 1, 0, 4, 2, 10, 6, 6, 1, 6, 6, 6, 6, 2, 2, 1, 10, 9, 10, 1, 6, 6, 2, 1, 10, 6, 2, 6, 2, 10, 10, 1, 1, 2, 1, 2, 6, 2, 2, 2, 9, 1, 6, 6, 1, 10, 10, 2, 1, 2, 1, 2, 2, 10, 10, 2, 6, 1, 10, 6, 2, 2, 6, 2, 6, 6, 1, 6, 2, 1, 1, 10, 1, 1, 2, 2, 1, 6, 6, 10, 10, 1, 1, 2, 2, 1, 2, 9, 1, 10, 1, 2, 10, 6, 2, 2, 2, 6, 2, 0, 6, 6, 10, 6, 6, 6, 10, 6, 10, 1, 6, 2, 10, 2, 6, 6, 9, 6, 1, 10, 2, 2, 1, 1, 2, 10, 1, 2, 6, 6, 2, 10, 10, 1, 10, 2, 1, 2, 5, 10, 10, 10, 6, 1, 1, 6, 10, 2, 6, 1, 2, 1, 2, 2, 10, 2, 2, 2, 6, 1, 1, 1, 2, 2, 10, 2, 6, 1, 1, 1, 2, 6, 1, 6, 2, 6, 1, 1, 10, 6, 6, 2, 1, 2, 10, 10, 10, 6, 1, 1, 2, 6, 2, 2, 2, 10, 10, 1, 6, 2, 2, 1, 1, 1, 6, 10, 2, 2, 2, 1, 1, 2, 10, 10, 10, 6, 1, 2, 6, 6, 2, 10, 10, 6, 1, 6, 2, 6, 6, 9, 10, 10, 10, 1, 6, 2, 6, 6, 10, 2, 2, 2, 6, 2, 6, 10, 10, 10, 6, 6, 2, 2, 6, 10, 1, 10, 2, 1, 1, 6, 10, 10, 6, 10, 6, 6, 2, 1, 2, 6, 10, 2, 4, 10, 10, 2, 9, 1, 1, 2, 6, 2, 6, 1, 6, 6, 10, 2, 2, 1, 1, 1, 6, 2, 6, 10, 2, 6, 6, 1, 10, 1, 1, 1, 0, 10, 6, 6, 10, 6, 6, 1, 2, 2, 6, 10, 6, 10, 1, 2, 1, 2, 1, 1, 1, 10, 6, 10, 1, 6, 1, 1, 6, 6, 1, 1, 1, 1, 10, 10, 1, 2, 10, 6, 6, 6, 2, 2, 2, 10, 2, 1, 10, 6, 1, 10, 2, 2, 2, 2, 10, 10, 2, 1, 1, 6, 2, 6, 5, 6, 1, 6, 1, 6, 2, 0, 6, 10, 10, 1, 2, 2, 4, 6, 6, 6, 2, 6, 10, 6, 6, 6, 10, 6, 6, 10, 10, 10, 6, 1, 1, 5, 1, 2, 1, 0, 6, 10, 10, 1, 1, 2, 2, 10, 2, 2, 2, 10, 1, 1, 1, 10, 2, 6, 6, 1, 9, 5, 10, 6, 1, 2, 1, 1, 1, 6, 10, 6, 1, 10, 6, 2, 6, 1, 6, 10, 1, 1, 1, 9, 1, 6, 4, 6, 2, 6, 6, 10, 6, 10, 10, 2, 1, 2, 10, 10, 6, 1, 6, 1, 1, 6, 1, 10, 1, 1, 6, 10, 1, 6, 6, 6, 2, 1, 6, 1, 2, 1, 2, 10, 2, 6, 1, 6, 1, 2, 10, 6, 10, 10, 1, 2, 4, 10, 1, 10, 1, 6, 10, 2, 6, 6, 1, 6, 1, 10, 6, 6, 1, 6, 2, 1, 2, 10, 10, 2, 10, 10, 2, 10, 10, 10, 5, 6, 6, 10, 10, 2, 1, 1, 10, 1, 6, 6, 2, 10, 6, 6, 10, 1, 6, 2, 6, 10, 6, 10, 10, 1, 1, 1, 6, 6, 5, 2, 6, 2, 2, 2, 6, 1, 10, 6, 1, 10, 2, 2, 1, 10, 1, 2, 10, 6, 10, 6, 6, 6, 2, 6, 10, 2, 2, 2, 1, 10, 6, 6, 1, 2, 2, 6, 10, 10, 1, 10, 10, 10, 2, 2, 2, 2, 2, 6, 6, 6, 10, 1, 10, 2, 1, 1, 10, 1, 2, 6, 6, 1, 10, 1, 10, 6, 10, 1, 10, 10, 1, 6, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 6, 2, 2, 6, 6, 6, 2, 6, 6, 2, 6, 1, 2, 10, 10, 2, 6, 2, 10, 1, 10, 6, 1, 2, 10, 6, 10, 2, 6, 6, 10, 10, 2, 1, 10, 1, 10, 1, 2, 2, 2, 1, 6, 10, 2, 10, 2, 9, 1, 6, 6, 6, 10, 1, 5, 2, 2, 10, 6, 6, 1, 2, 1, 1, 2, 2, 2, 2, 10, 1, 2, 6, 6, 1, 1, 1, 2, 10, 6, 1, 10, 10, 1, 6, 10, 2, 10, 10, 10, 6, 10, 2, 9, 6, 1, 10, 2, 1, 1, 1, 10, 1, 10, 10, 10, 10, 6, 10, 6, 10, 6, 6, 6, 1, 6, 1, 10, 1, 10, 2, 6, 2, 1, 1, 2, 2, 1, 10, 9, 1, 10, 10, 6, 6, 1, 2, 2, 1, 9, 10, 10, 4, 2, 5, 1, 6, 6, 2, 1, 9, 2, 1, 6, 10, 10, 2, 2, 2, 9, 9, 10, 10, 6, 6, 1, 2, 10, 2, 10, 10, 10, 1, 9, 10, 1, 2, 6, 6, 2, 2, 2, 1, 10, 2, 10, 2, 6, 10, 2, 1, 10, 1, 2, 10, 1, 6, 1, 6, 2, 1, 2, 1, 6, 1, 6, 10, 10, 4, 1, 6, 1, 10, 1, 10, 1, 2, 10, 9, 1, 10, 2, 1, 10, 1, 1, 10, 10, 2, 1, 6, 1, 6, 2, 6, 2, 2, 6, 1, 2, 2, 6, 10, 1, 10, 6, 10, 10, 10, 2, 1, 2, 1, 2, 1, 6, 2, 6, 10, 2, 2, 2, 1, 2, 2, 10, 6, 1, 1, 10, 10, 10, 10, 10, 6, 1, 6, 10, 10, 2, 1, 2, 2, 1, 1, 10, 1, 2, 1, 1, 2, 1, 10, 1, 10, 1, 2, 1, 2, 1, 10, 1, 2, 1, 10, 6, 10, 1, 6, 1, 1, 6, 2, 1, 6, 6, 6, 6, 10, 1, 10, 6, 6, 6, 1, 6, 6, 1, 2, 6, 10, 1, 1, 2, 1, 1, 10, 10, 1, 6, 2, 1, 10, 6, 6, 10, 2, 10, 1, 1, 10, 6, 1, 1, 1, 1, 1, 7, 0, 2, 10, 2, 6, 2, 1, 1, 1, 6, 1, 6, 6, 10, 2, 2, 10, 2, 1, 6, 1, 10, 10, 1, 10, 1, 10, 2, 2, 1, 10, 6, 1, 1, 2, 2, 10, 2, 1, 1, 6, 6, 1, 6, 6, 1, 10, 10, 1, 2, 2, 10, 6, 10, 10, 6, 10, 1, 2, 1, 6, 2, 2, 2, 10, 10, 10, 10, 1, 1, 6, 10, 2, 10, 2, 6, 6, 2, 6, 2, 1, 6, 6, 10, 2, 2, 1, 4, 10, 2, 2, 10, 6, 10, 2, 10, 10, 10, 2, 2, 1, 0, 10, 2, 1, 6, 5, 2, 2, 2, 10, 6, 10, 2, 1, 2, 10, 2, 10, 10, 2, 1, 2, 6, 1, 10, 6, 2, 2, 1, 4, 6, 1, 1, 6, 6, 6, 6, 2, 4, 6, 6, 2, 1, 6, 1, 10, 6, 10, 6, 6, 1, 6, 6, 1, 1, 6, 2, 6, 10, 2, 6, 10, 1, 10, 10, 6, 2, 2, 10, 2, 10, 2, 6, 1, 10, 6, 1, 1, 10, 1, 1, 2, 2, 2, 2, 10, 2, 1, 6, 6, 6, 1, 6, 10, 9, 1, 1, 1, 10, 10, 6, 1, 10, 2, 10, 2, 5, 2, 2, 6, 6, 2, 1, 2, 2, 6, 10, 2, 1, 1, 6, 1, 10, 1, 2, 6, 10, 6, 1, 6, 2, 1, 2, 0, 10, 1, 2, 2, 1, 2, 2, 1, 6, 10, 6, 2, 6, 10, 2, 1, 1, 10, 1, 10, 1, 6, 1, 6, 6, 10, 10, 6, 6, 6, 1, 5, 10, 2, 6, 6, 10, 2, 1, 2, 2, 1, 10, 2, 2, 6, 10, 1, 10, 6, 2, 10, 2, 6, 10, 10, 6, 10, 9, 10, 2, 1, 2, 6, 9, 1, 2, 1, 6, 1, 6, 10, 2, 2, 2, 4, 10, 6, 10, 4, 1, 9, 2, 1, 1, 1, 6, 10, 10, 2, 10, 2, 2, 6, 10, 10, 10, 6, 10, 2, 6, 1, 2, 2, 1, 4, 2, 6, 1, 2, 6, 10, 6, 10, 10, 1, 1, 10, 1, 1, 10, 6, 2, 10, 1, 2, 1, 6, 2, 6, 6, 2, 1, 6, 2, 2, 6, 1, 1, 6, 2, 10, 1, 6, 6, 1, 1, 2, 2, 6, 10, 10, 10, 10, 2, 1, 1, 10, 6, 10, 10, 1, 6, 2, 6, 10, 10, 2, 10, 2, 1, 1, 10, 1, 10, 6, 1, 10, 2, 1, 6, 2, 5, 1, 2, 1, 10, 10, 1, 1, 10, 2, 2, 10, 6, 2, 2, 1, 1, 1, 2, 6, 2, 1, 2, 1, 2, 1, 6, 1, 10, 10, 2, 1, 1, 2, 10, 6, 2, 1, 6, 10, 6, 10, 1, 1, 6, 1, 2, 10, 10, 1, 1, 6, 6, 10, 1, 2, 10, 0, 6, 6, 6, 2, 6, 10, 10, 10, 2, 2, 2, 1, 10, 10, 1, 1, 2, 10, 6, 6, 10, 6, 10, 1, 10, 1, 2, 10, 10, 10, 10, 10, 4, 4, 5, 10, 1, 2, 2, 2, 6, 1, 2, 10, 1, 6, 10, 2, 1, 9, 6, 10, 2, 10, 2, 6, 1, 1, 2, 6, 6, 1, 1, 2, 10, 10, 2, 6, 10, 1, 10, 6, 2, 2, 10, 6, 10, 6, 1, 6, 10, 1, 2, 2, 6, 1, 10, 2, 2, 10, 6, 10, 6, 6, 2, 1, 10, 1, 6, 6, 10, 1, 1, 2, 1, 1, 1, 6, 2, 2, 2, 10, 10, 1, 1, 1, 2, 10, 6, 1, 0, 6, 2, 10, 2, 2, 2, 1, 10, 1, 2, 2, 10, 10, 2, 6, 9, 2, 1, 10, 2, 2, 10, 2, 6, 1, 1, 1, 10, 10, 6, 10, 1, 6, 9, 5, 10, 6, 1, 1, 9, 6, 2, 10, 10, 1, 6, 10, 10, 1, 6, 6, 6, 2, 6, 1, 2, 10, 1, 1, 0, 1, 1, 10, 10, 10, 6, 2, 6, 1, 6, 2, 10, 2, 9, 2, 10, 6, 6, 0, 1, 2, 2, 1, 2, 2, 6, 2, 6, 2, 6, 6, 6, 10, 6, 1, 6, 10, 2, 1, 2, 1, 1, 1, 1, 2, 5, 2, 10, 2, 2, 2, 4, 6, 10, 6, 1, 1, 10, 6, 2, 2, 10, 10, 6, 6, 6, 2, 1, 2, 6, 1, 2, 6, 10, 6, 6, 6, 2, 1, 6, 2, 10, 1, 10, 6, 2, 10, 1, 1, 1, 1, 5, 1, 2, 10, 10, 2, 6, 6, 1, 5, 1, 50, 6, 10, 1, 6, 10, 6, 10, 2, 1, 10, 2, 1, 6, 6, 10, 2, 10, 10, 2, 2, 2, 2, 6, 2, 10, 2, 6, 1, 6, 10, 6, 2, 1, 10, 6, 10, 6, 1, 2, 10, 10, 10, 10, 1, 10, 6, 6, 2, 6, 6, 1, 6, 2, 6, 1, 6, 2, 1, 10, 2, 10, 10, 1, 1, 2, 10, 1, 1, 6, 2, 2, 6, 6, 6, 2, 1, 1, 0, 6, 4, 6, 6, 1, 6, 1, 10, 2, 4, 2, 6, 2, 2, 1, 1, 6, 1, 2, 10, 1, 2, 6, 6, 6, 6, 1, 1, 10, 1, 6, 6, 1, 6, 1, 6, 6, 6, 6, 10, 6, 2, 10, 10, 6, 6, 10, 1, 1, 6, 1, 1, 2, 1, 2, 6, 10, 6, 10, 1, 2, 2, 6, 2, 6, 2, 1, 6, 2, 6, 10, 2, 2, 10, 1, 6, 10, 2, 2, 1, 2, 10, 6, 2, 1, 6, 1, 2, 1, 10, 1, 2, 6, 1, 2, 10, 2, 10, 10, 2, 2, 1, 1, 10, 10, 1, 2, 2, 2, 10, 1, 1, 6, 2, 1, 2, 2, 2, 1, 6, 2, 2, 6, 6, 1, 6, 1, 2, 2, 2, 6, 0, 1, 2, 2, 6, 10, 6, 2, 6, 1, 2, 2, 10, 6, 10, 10, 6, 1, 6, 0, 2, 2, 10, 2, 2, 10, 10, 2, 6, 1, 1, 1, 10, 1, 1, 1, 10, 1, 2, 2, 6, 10, 10, 10, 10, 1, 6, 5, 6, 10, 1, 6, 6, 6, 10, 1, 1, 10, 6, 2, 10, 6, 6, 10, 6, 1, 2, 10, 10, 6, 6, 6, 1, 2, 6, 10, 2, 1, 10, 6, 6, 6, 2, 6, 10, 10, 10, 10, 1, 1, 10, 1, 6, 2, 10, 2, 2, 6, 6, 6, 2, 2, 6, 1, 10, 6, 1, 2, 2, 1, 1, 1, 2, 2, 6, 6, 1, 2, 6, 1, 1, 1, 2, 2, 6, 6, 6, 1, 6, 9, 1, 10, 6, 6, 1, 1, 10, 1, 10, 0, 2, 6, 10, 2, 10, 2, 6, 1, 10, 10, 2, 10, 6, 6, 2, 2, 10, 6, 6, 2, 10, 10, 6, 1, 1, 2, 2, 10, 2, 6, 6, 1, 6, 1, 10, 1, 6, 10, 2, 1, 2, 10, 10, 10, 10, 10, 6, 2, 2, 10, 2, 2, 1, 1, 6, 1, 6, 2, 6, 6, 0, 1, 6, 6, 6, 10, 10, 1, 6, 6, 6, 5, 1, 1, 10, 2, 2, 1, 10, 10, 6, 1, 2, 2, 2, 2, 10, 10, 10, 10, 1, 10, 2, 6, 1, 2, 1, 1, 6, 1, 10, 1, 1, 6, 1, 10, 1, 1, 10, 10, 6, 10, 1, 2, 6, 10, 10, 6, 2, 6, 1, 6, 2, 1, 2, 1, 10, 6, 1, 6, 10, 1, 10, 6, 1, 1, 1, 1, 2, 2, 10, 5, 5, 9, 1, 6, 1, 2, 1, 10, 10, 6, 1, 2, 1, 10, 10, 1, 10, 6, 1, 2, 10, 6, 6, 6, 2, 10, 2, 10, 9, 6, 6, 10, 1, 6, 1, 6, 2, 1, 1, 2, 6, 2, 6, 10, 10, 2, 1, 5, 2, 10, 1, 6, 1, 6, 1, 1, 6, 6, 2, 1, 1, 2, 2, 2, 1, 10, 6, 6, 1, 10, 10, 10, 1, 2, 6, 2, 6, 1, 2, 10, 6, 1, 1, 2, 1, 1, 2, 1, 2, 2, 10, 2, 1, 6, 6, 2, 1, 6, 10, 6, 6, 6, 2, 2, 1, 2, 10, 6, 6, 6, 2, 2, 2, 6, 10, 1, 2, 10, 1, 2, 4, 2, 1, 1, 2, 2, 10, 6, 2, 2, 10, 1, 6, 2, 6, 6, 1, 6, 6, 2, 6, 2, 1, 2, 2, 1, 10, 10, 2, 6, 6, 2, 10, 2, 2, 6, 10, 6, 6, 2, 6, 10, 2, 10, 10, 1, 2, 6, 2, 6, 2, 6, 10, 6, 1, 10, 2, 6, 10, 6, 6, 10, 10, 10, 6, 10, 6, 6, 6, 10, 2, 9, 2, 0, 1, 1, 6, 1, 6, 2, 2, 10, 6, 2, 1, 1, 6, 6, 1, 2, 2, 10, 2, 6, 10, 2, 6, 2, 6, 1, 1, 6, 2, 10, 2, 2, 10, 1, 6, 2, 1, 6, 6, 2, 2, 2, 0, 6, 10, 10, 10, 10, 10, 1, 10, 1, 6, 6, 6, 6, 2, 6, 2, 2, 6, 2, 2, 2, 1, 1, 1, 5, 10, 2, 10, 6, 6, 10, 2, 1, 6, 9, 6, 6, 10, 6, 2, 6, 6, 10, 6, 1, 2, 1, 6, 10, 10, 6, 2, 1, 2, 2, 6, 1, 2, 2, 0, 1, 2, 2, 2, 10, 10, 10, 6, 6, 1, 10, 6, 1, 1, 1, 10, 6, 10, 2, 6, 6, 10, 10, 6, 0, 1, 2, 6, 10, 2, 2, 1, 1, 2, 6, 10, 1, 2, 6, 2, 6, 6, 2, 1, 10, 5, 2, 9, 2, 6, 1, 10, 1, 10, 10, 2, 10, 1, 10, 10, 6, 1, 6, 6, 6, 1, 10, 6, 2, 10, 6, 1, 2, 0, 10, 10, 2, 6, 1, 2, 1, 6, 0, 2, 1, 1, 10, 1, 1, 2, 6, 10, 1, 6, 6, 1, 2, 2, 6, 1, 1, 6, 10, 2, 10, 1, 10, 6, 1, 1, 10, 6, 10, 10, 10, 1, 1, 10, 6, 2, 0, 10, 10, 2, 6, 10, 6, 1, 10, 10, 10, 6, 10, 1, 1, 6, 6, 10, 10, 6, 6, 1, 10, 1, 2, 1, 6, 1, 2, 1, 10, 6, 1, 10, 6, 10, 1, 4, 10, 1, 6, 1, 10, 9, 2, 6, 2, 10, 6, 1, 6, 10, 10, 10, 40, 6, 6, 6, 2, 2, 2, 1, 2, 5, 1, 2, 10, 2, 6, 2, 2, 2, 10, 1, 1, 1, 2, 4, 6, 6, 6, 6, 6, 10, 1, 2, 6, 6, 6, 6, 10, 6, 10, 2, 10, 2, 6, 10, 6, 2, 1, 1, 2, 6, 10, 1, 1, 2, 6, 2, 6, 1, 1, 2, 1, 10, 6, 1, 2, 1, 2, 10, 1, 6, 10, 6, 1, 6, 6, 6, 1, 6, 1, 1, 2, 10, 10, 2, 1, 4, 2, 2, 1, 2, 6, 1, 2, 2, 1, 6, 1, 10, 10, 2, 2, 2, 10, 6, 6, 6, 6, 10, 6, 1, 5, 2, 6, 1, 6, 2, 6, 1, 2, 6, 10, 1, 2, 1, 1, 2, 1, 6, 6, 1, 1, 1, 1, 2, 6, 6, 6, 6, 6, 10, 1, 10, 10, 6, 6, 2, 10, 2, 1, 2, 10, 2, 10, 2, 2, 6, 1, 10, 6, 1, 2, 1, 10, 10, 10, 10, 1, 10, 6, 10, 6, 10, 2, 6, 9, 1, 1, 2, 6, 6, 10, 6, 2, 6, 10, 6, 1, 2, 10, 2, 10, 1, 6, 2, 1, 6, 1, 10, 1, 6, 6, 6, 6, 1, 6, 1, 10, 2, 10, 1, 10, 2, 1, 1, 10, 1, 10, 10, 2, 1, 10, 9, 10, 6, 1, 6, 2, 6, 2, 10, 10, 2, 10, 6, 0, 1, 10, 2, 1, 6, 6, 1, 10, 10, 10, 6, 6, 6, 10, 6, 10, 6, 1, 10, 1, 1, 1, 6, 1, 1, 1, 1, 2, 10, 10, 2, 2, 10, 10, 1, 2, 10, 1, 10, 5, 1, 2, 2, 10, 2, 2, 6, 10, 2, 1, 1, 1, 2, 1, 10, 10, 6, 1, 10, 10, 6, 10, 2, 10, 10, 1, 1, 6, 1, 2, 10, 1, 1, 2, 10, 10, 6, 2, 1, 1, 10, 10, 1, 10, 6, 10, 2, 1, 1, 2, 6, 10, 6, 1, 2, 6, 1, 10, 9, 2, 10, 2, 5, 6, 1, 1, 6, 6, 6, 2, 6, 2, 1, 4, 1, 5, 2, 9, 10, 6, 1, 6, 2, 1, 6, 10, 10, 1, 6, 10, 2, 2, 2, 6, 1, 6, 6, 2, 10, 10, 2, 1, 6, 6, 1, 6, 10, 10, 6, 1, 2, 1, 10, 2, 6, 1, 10, 2, 2, 1, 1, 2, 10, 10, 10, 10, 2, 2, 5, 1, 2, 2, 6, 6, 1, 6, 10, 2, 1, 1, 1, 2, 10, 10, 10, 1, 10, 1, 2, 6, 10, 2, 10, 2, 6, 6, 10, 1, 10, 2, 6, 6, 6, 10, 1, 6, 1, 10, 1, 2, 1, 1, 6, 1, 10, 1, 10, 10, 1, 10, 10, 1, 1, 10, 1, 2, 10, 6, 6, 1, 10, 2, 1, 9, 6, 6, 1, 2, 10, 2, 10, 10, 1, 1, 1, 10, 6, 6, 2, 1, 2, 6, 1, 2, 10, 4, 10, 6, 1, 10, 6, 10, 2, 1, 6, 2, 2, 2, 2, 10, 10, 10, 10, 1, 2, 10, 6, 6, 6, 2, 2, 2, 6, 10, 10, 1, 6, 6, 2, 2, 6, 6, 60, 6, 6, 10, 1, 1, 6, 2, 6, 1, 2, 10, 6, 6, 2, 10, 2, 6, 10, 6, 1, 1, 10, 6, 2, 2, 10, 1, 6, 1, 10, 6, 1, 2, 6, 2, 6, 10, 1, 10, 6, 1, 6, 1, 10, 10, 1, 6, 10, 2, 6, 2, 10, 6, 2, 2, 10, 10, 6, 2, 2, 6, 6, 2, 6, 9, 2, 10, 2, 6, 10, 6, 10, 2, 2, 10, 1, 10, 1, 6, 6, 10, 6, 2, 2, 1, 2, 2, 6, 2, 2, 10, 6, 1, 2, 6, 2, 1, 1, 10, 1, 6, 2, 10, 10, 10, 10, 1, 6, 1, 10, 1, 6, 1, 10, 2, 2, 1, 10, 1, 6, 6, 6, 10, 2, 5, 2, 10, 1, 6, 10, 2, 6, 6, 1, 10, 6, 10, 10, 2, 10, 10, 0, 6, 6, 2, 6, 6, 6, 1, 2, 10, 1, 2, 1, 1, 10, 2, 10, 1, 6, 6, 10, 2, 10, 1, 2, 1, 1, 10, 1, 2, 10, 1, 1, 10, 6, 2, 6, 2, 4, 6, 2, 10, 10, 6, 2, 1, 6, 2, 6, 6, 1, 1, 6, 1, 6, 1, 6, 1, 10, 2, 2, 6, 6, 2, 1, 6, 6, 2, 2, 2, 1, 6, 2, 10, 6, 2, 2, 2, 1, 10, 2, 6, 6, 10, 2, 6, 9, 6, 2, 2, 10, 4, 1, 2, 6, 2, 6, 1, 2, 2, 2, 2, 6, 10, 10, 6, 1, 10, 6, 1, 10, 6, 6, 2, 1, 4, 9, 10, 10, 10, 1, 1, 0, 6, 6, 2, 6, 1, 6, 10, 2, 1, 6, 1, 6, 6, 1, 6, 1, 1, 6, 2, 2, 2, 6, 10, 1, 2, 2, 0, 9, 6, 2, 6, 10, 1, 10, 4, 10, 10, 10, 0, 10, 10, 10, 6, 2, 10, 2, 2, 10, 2, 1, 6, 6, 10, 10, 1, 5, 2, 2, 2, 1, 4, 2, 1, 1, 1, 2, 10, 6, 10, 10, 10, 1, 10, 6, 10, 6, 1, 10, 6, 6, 6, 1, 1, 2, 6, 2, 1, 2, 2, 2, 6, 10, 1, 6, 6, 1, 1, 2, 10, 10, 6, 10, 6, 2, 10, 6, 1, 2, 10, 2, 6, 2, 6, 10, 10, 6, 2, 10, 2, 2, 6, 10, 2, 6, 10, 2, 6, 2, 10, 6, 1, 2, 1, 1, 10, 6, 6, 6, 2, 6, 10, 10, 1, 1, 6, 2, 1, 6, 1, 1, 2, 10, 10, 6, 1, 10, 1, 2, 2, 6, 6, 2, 6, 2, 10, 1, 6, 2, 2, 10, 1, 1, 10, 10, 2, 2, 2, 2, 6, 1, 6, 2, 2, 1, 1, 1, 4, 6, 9, 10, 2, 2, 6, 1, 1, 1, 1, 2, 1, 6, 2, 10, 6, 10, 1, 1, 6, 1, 6, 1, 2, 6, 6, 2, 2, 4, 10, 10, 1, 1, 10, 6, 1, 1, 10, 2, 10, 10, 1, 2, 10, 8, 10, 6, 1, 2, 10, 10, 1, 2, 6, 10, 2, 10, 2, 10, 0, 6, 8, 10, 2, 2, 10, 2, 10, 1, 10, 1, 1, 1, 2, 10, 6, 10, 6, 1, 10, 1, 1, 6, 2, 10, 2, 6, 2, 10, 2, 1, 2, 2, 2, 6, 1, 10, 2, 1, 1, 1, 2, 1, 10, 10, 6, 2, 10, 1, 10, 1, 6, 6, 10, 6, 2, 2, 6, 1, 10, 10, 2, 6, 1, 10, 2, 6, 2, 1, 6, 10, 10, 2, 6, 1, 10, 10, 10, 2, 2, 1, 10, 2, 6, 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2, 2, 1, 1, 10, 1, 1, 2, 1, 1, 2, 1, 6, 1, 1, 10, 10, 2, 9, 2, 10, 1, 1, 2, 2, 2, 1, 6, 2, 1, 2, 2, 6, 1, 1, 2, 2, 10, 1, 4, 6, 6, 10, 10, 6, 6, 1, 1, 6, 1, 10, 2, 2, 10, 2, 10, 1, 6, 6, 6, 10, 6, 2, 5, 10, 1, 10, 10, 2, 6, 6, 10, 1, 1, 1, 5, 6, 2, 10, 10, 10, 0, 6, 2, 6, 10, 2, 1, 2, 10, 1, 1, 10, 2, 2, 10, 2, 6, 6, 6, 2, 1, 1, 10, 6, 2, 1, 10, 10, 10, 6, 2, 10, 0, 1, 2, 6, 1, 6, 10, 1, 10, 1, 10, 10, 6, 6, 6, 10, 5, 6, 2, 10, 2, 10, 4, 4, 2, 1, 2, 6, 10, 2, 4, 2, 2, 2, 6, 2, 6, 1, 10, 2, 6, 2, 6, 1, 6, 6, 6, 6, 6, 10, 6, 6, 10, 2, 6, 2, 1, 10, 10, 2, 10, 6, 1, 2, 1, 2, 6, 10, 10, 1, 1, 6, 10, 2, 10, 1, 10, 2, 2, 10, 10, 10, 6, 1, 2, 2, 1, 1, 1, 10, 10, 10, 2, 10, 1, 6, 6, 1, 1, 1, 6, 1, 1, 2, 2, 6, 10, 6, 6, 2, 10, 2, 2, 10, 2, 10, 6, 10, 10, 10, 1, 2, 2, 2, 2, 6, 2, 10, 2, 1, 6, 10, 6, 10, 6, 10, 2, 6, 10, 1, 1, 2, 1, 2, 1, 1, 10, 1, 6, 1, 2, 1, 6, 2, 10, 10, 6, 2, 1, 1, 6, 1, 4, 10, 2, 2, 2, 6, 1, 6, 10, 2, 10, 10, 1, 6, 1, 2, 2, 10, 6, 2, 10, 1, 10, 1, 2, 10, 10, 6, 10, 10, 2, 10, 1, 6, 1, 10, 10, 9, 6, 2, 1, 1, 6, 1, 2, 10, 2, 6, 6, 6, 1, 10, 1, 2, 1, 10, 10, 1, 10, 1, 2, 1, 10, 2, 2, 1, 2, 6, 10, 10, 2, 6, 2, 6, 1, 4, 2, 1, 10, 2, 10, 6, 1, 6, 2, 6, 4, 2, 6, 6, 10, 1, 1, 9, 6, 6, 10, 0, 2, 2, 10, 1, 6, 2, 10, 1, 2, 2, 10, 9, 10, 6, 1, 4, 1, 2, 2, 1, 1, 2, 6, 10, 6, 4, 10, 2, 6, 1, 10, 6, 10, 6, 1, 6, 2, 6, 10, 2, 1, 10, 1, 10, 2, 1, 6, 10, 1, 2, 2, 10, 1, 2, 6, 1, 1, 10, 10, 6, 1, 10, 6, 10, 10, 2, 1, 1, 10, 1, 10, 6, 6, 2, 7, 6, 6, 2, 10, 10, 10, 10, 2, 1, 6, 10, 10, 6, 6, 2, 2, 1, 2, 6, 10, 6, 1, 1, 1, 10, 10, 2, 1, 2, 6, 6, 2, 1, 1, 6, 1, 1, 10, 6, 10, 10, 6, 2, 2, 6, 1, 2, 6, 6, 2, 10, 10, 1, 10, 1, 6, 6, 1, 1, 2, 1, 10, 2, 2, 6, 9, 2, 1, 2, 10, 1, 2, 1, 2, 10, 2, 9, 1, 6, 10, 2, 2, 1, 10, 10, 6, 1, 1, 1, 6, 1, 10, 10, 2, 2, 10, 10, 2, 10, 1, 1, 2, 2, 6, 2, 2, 10, 6, 1, 6, 5, 6, 10, 6, 1, 10, 1, 6, 6, 1, 10, 10, 2, 6, 1, 6, 2, 4, 1, 1, 10, 2, 6, 2, 1, 6, 1, 6, 10, 6, 10, 10, 7, 2, 2, 2, 6, 1, 6, 2, 6, 1, 1, 6, 6, 10, 1, 10, 2, 1, 6, 2, 1, 10, 5, 1, 6, 10, 10, 1, 1, 1, 1, 1, 2, 1, 10, 1, 10, 10, 2, 10, 1, 10, 2, 2, 10, 6, 10, 6, 6, 10, 10, 6, 6, 2, 10, 6, 2, 10, 2, 1, 6, 10, 6, 6, 10, 6, 2, 10, 2, 5, 10, 1, 6, 6, 10, 1, 2, 10, 6, 2, 1, 10, 2, 1, 1, 2, 1, 2, 6, 10, 6, 2, 6, 6, 2, 6, 6, 1, 1, 1, 6, 1, 10, 6, 1, 2, 1, 2, 2, 0, 10, 10, 1, 6, 10, 2, 1, 2, 2, 2, 6, 10, 1, 2, 1, 1, 6, 2, 1, 1, 1, 6, 6, 1, 2, 2, 6, 1, 4, 5, 2, 6, 10, 1, 1, 2, 10, 10, 10, 10, 1, 10, 2, 2, 10, 2, 1, 10, 10, 1, 10, 4, 2, 10, 2, 6, 10, 2, 6, 10, 1, 2, 6, 10, 10, 1, 1, 2, 6, 6, 2, 10, 6, 10, 2, 10, 1, 6, 10, 6, 6, 10, 2, 1, 6, 1, 10, 10, 1, 2, 6, 6, 1, 1, 6, 6, 1, 1, 2, 2, 10, 6, 2, 2, 2, 6, 1, 6, 0, 1, 2, 1, 6, 1, 1, 1, 10, 2, 6, 10, 2, 6, 2, 1, 2, 10, 2, 1, 2, 10, 9, 10, 2, 6, 2, 1, 6, 1, 6, 1, 2, 1, 6, 2, 1, 10, 10, 1, 6, 1, 6, 10, 6, 1, 6, 10, 2, 1, 10, 6, 1, 2, 10, 10, 2, 6, 6, 2, 1, 10, 2, 10, 1, 10, 6, 10, 2, 1, 1, 2, 6, 4, 1, 10, 2, 10, 1, 6, 2, 10, 6, 2, 10, 1, 2, 6, 6, 2, 6, 10, 10, 10, 10, 10, 2, 10, 5, 10, 10, 1, 6, 6, 1, 2, 1, 10, 1, 1, 2, 6, 10, 1, 10, 6, 6, 2, 5, 1, 10, 10, 6, 6, 1, 6, 6, 6, 10, 10, 10, 6, 1, 1, 2, 2, 10, 6, 2, 1, 10, 2, 2, 6, 4, 2, 1, 2, 6, 2, 2, 2, 10, 6, 1, 2, 6, 2, 6, 1, 6, 10, 2, 6, 6, 10, 10, 10, 0, 6, 6, 10, 10, 10, 10, 6, 10, 2, 6, 1, 1, 2, 10, 0, 1, 1, 10, 1, 1, 1, 2, 6, 2, 6, 6, 6, 1, 50, 10, 6, 1, 2, 6, 1, 10, 1, 1, 2, 2, 2, 10, 1, 1, 10, 10, 4, 2, 2, 10, 1, 1, 1, 6, 9, 1, 6, 6, 2, 10, 6, 10, 10, 1, 2, 2, 1, 2, 6, 2, 2, 6, 2, 2, 6, 10, 2, 6, 2, 2, 1, 10, 0, 6, 2, 10, 1, 2, 4, 1, 2, 10, 10, 1, 6, 1, 1, 1, 1, 6, 1, 6, 0, 2, 6, 2, 6, 2, 10, 2, 10, 1, 10, 1, 1, 2, 1, 2, 10, 6, 2, 6, 1, 10, 10, 1, 1, 2, 1, 2, 6, 10, 10, 6, 1, 1, 1, 5, 2, 6, 2, 2, 1, 10, 6, 1, 1, 2, 10, 2, 1, 6, 2, 6, 6, 2, 1, 2, 10, 1, 10, 6, 1, 1, 6, 10, 10, 2, 10, 2, 6, 6, 2, 2, 1, 10, 10, 1, 2, 6, 2, 1, 10, 10, 10, 2, 6, 10, 9, 6, 1, 6, 10, 6, 1, 10, 2, 2, 2, 2, 1, 10, 10, 10, 6, 2, 1, 2, 10, 6, 1, 1, 10, 6, 1, 6, 10, 2, 2, 1, 10, 6, 10, 1, 6, 10, 1, 1, 10, 10, 10, 2, 1, 9, 2, 1, 10, 6, 10, 1, 10, 1, 6, 2, 6, 10, 10, 6, 2, 2, 10, 1, 2, 2, 10, 6, 6, 10, 1, 6, 10, 1, 6, 6, 10, 2, 10, 2, 1, 1, 1, 10, 2, 6, 6, 1, 1, 6, 2, 10, 1, 4, 10, 10, 1, 10, 1, 6, 1, 1, 2, 6, 1, 1, 2, 6, 10, 2, 10, 1, 10, 2, 10, 2, 10, 1, 1, 6, 2, 10, 1, 10, 10, 10, 1, 6, 2, 2, 2, 1, 6, 10, 10, 10, 2, 1, 2, 10, 10, 6, 6, 6, 6, 1, 6, 10, 6, 2, 1, 10, 1, 1, 1, 6, 1, 1, 1, 6, 10, 1, 2, 1, 1, 6, 1, 2, 10, 1, 10, 1, 1, 10, 2, 1, 10, 2, 6, 1, 1, 1, 10, 2, 2, 2, 6, 10, 2, 6, 1, 10, 2, 6, 6, 1, 2, 6, 1, 1, 2, 2, 2, 1, 2, 6, 2, 1, 10, 10, 1, 10, 1, 2, 1, 1, 1, 6, 6, 2, 10, 10, 2, 1, 6, 2, 6, 10, 1, 1, 6, 2, 2, 2, 10, 6, 1, 6, 6, 2, 10, 6, 2, 2, 6, 10, 6, 2, 10, 10, 6, 2, 2, 1, 1, 6, 6, 1, 10, 2, 1, 1, 2, 2, 2, 1, 6, 1, 10, 2, 2, 2, 2, 2, 2, 6, 2, 6, 10, 2, 9, 2, 2, 6, 1, 6, 1, 6, 10, 6, 1, 1, 0, 2, 6, 1, 2, 10, 2, 10, 10, 6, 6, 6, 10, 6, 2, 10, 2, 6, 1, 1, 1, 6, 2, 6, 10, 10, 1, 1, 9, 2, 10, 1, 6, 6, 10, 6, 2, 2, 6, 2, 10, 10, 1, 6, 10, 2, 10, 1, 1, 10, 2, 2, 2, 2, 10, 10, 6, 1, 2, 1, 2, 6, 2, 6, 10, 1, 2, 2, 10, 1, 6, 1, 1, 10, 6, 1, 2, 10, 1, 10, 6, 2, 1, 1, 6, 6, 6, 6, 6, 6, 10, 6, 6, 2, 6, 2, 6, 1, 10, 1, 10, 1, 1, 10, 0, 1, 2, 6, 10, 2, 10, 1, 2, 6, 1, 5, 6, 1, 10, 1, 6, 10, 10, 1, 2, 2, 1, 1, 6, 10, 2, 10, 1, 1, 1, 6, 1, 10, 6, 1, 6, 2, 9, 2, 10, 2, 2, 6, 2, 2, 1, 10, 6, 2, 1, 2, 2, 2, 1, 2, 6, 10, 6, 2, 10, 1, 2, 6, 2, 10, 1, 6, 6, 6, 6, 1, 6, 10, 2, 1, 10, 1, 1, 10, 1, 10, 6, 10, 6, 6, 1, 1, 6, 2, 2, 6, 10, 1, 10, 10, 10, 2, 2, 6, 1, 10, 6, 2, 10, 1, 1, 2, 10, 1, 10, 6, 2, 6, 2, 10, 1, 1, 2, 10, 1, 6, 10, 10, 2, 6, 2, 10, 10, 6, 10, 10, 2, 6, 6, 10, 10, 6, 6, 6, 2, 6, 6, 1, 10, 6, 6, 1, 2, 4, 6, 1, 4, 10, 2, 10, 10, 2, 10, 6, 2, 2, 2, 10, 6, 2, 6, 10, 10, 1, 10, 1, 1, 6, 1, 1, 2, 1, 2, 2, 1, 6, 10, 0, 2, 10, 10, 10, 2, 1, 0, 10, 6, 6, 6, 2, 2, 1, 2, 2, 10, 1, 2, 6, 1, 2, 9, 2, 2, 6, 1, 2, 2, 1, 6, 10, 2, 1, 2, 6, 1, 10, 10, 10, 10, 1, 10, 6, 10, 1, 1, 1, 6, 1, 1, 1, 10, 2, 2, 2, 6, 6, 1, 2, 1, 10, 10, 2, 2, 6, 1, 1, 10, 6, 1, 1, 10, 10, 1, 6, 2, 10, 1, 2, 6, 1, 2, 2, 1, 1, 2, 6, 6, 6, 6, 1, 2, 10, 1, 1, 2, 2, 6, 2, 6, 10, 10, 0, 10, 10, 6, 1, 2, 6, 6, 2, 1, 6, 1, 2, 1, 1, 6, 2, 2, 2, 6, 2, 1, 2, 1, 2, 2, 10, 1, 1, 10, 1, 10, 10, 10, 6, 2, 6, 2, 1, 1, 1, 1, 6, 1, 6, 10, 1, 1, 1, 6, 10, 2, 1, 6, 10, 1, 1, 1, 2, 2, 6, 2, 6, 6, 2, 10, 1, 6, 10, 2, 6, 10, 6, 10, 5, 2, 10, 6, 2, 2, 6, 6, 1, 10, 1, 10, 1, 1, 2, 10, 10, 1, 1, 6, 10, 6, 1, 1, 2, 1, 1, 10, 10, 1, 6, 2, 1, 2, 6, 2, 6, 6, 6, 1, 10, 2, 10, 1, 10, 1, 6, 6, 2, 10, 9, 10, 10, 6, 6, 2, 2, 6, 10, 6, 6, 6, 6, 6, 10, 10, 10, 10, 6, 10, 6, 10, 2, 10, 2, 10, 6, 1, 1, 10, 10, 6, 10, 2, 1, 2, 6, 1, 2, 2, 1, 2, 6, 1, 6, 10, 2, 1, 0, 6, 2, 2, 2, 4, 2, 6, 1, 2, 10, 10, 2, 2, 1, 1, 2, 6, 6, 2, 2, 6, 2, 1, 1, 10, 2, 1, 10, 10, 2, 6, 6, 0, 10, 1, 5, 1, 10, 10, 2, 10, 1, 10, 1, 10, 1, 2, 2, 6, 6, 1, 1, 6, 6, 2, 6, 10, 10, 1, 2, 6, 10, 6, 2, 6, 6, 2, 1, 0, 10, 6, 6, 10, 10, 2, 10, 10, 1, 1, 2, 10, 2, 1, 10, 1, 6, 10, 10, 1, 10, 10, 10, 6, 10, 6, 2, 6, 1, 2, 2, 10, 6, 6, 2, 6, 1, 2, 10, 2, 1, 10, 1, 1, 2, 10, 6, 10, 6, 6, 2, 6, 6, 6, 2, 6, 10, 1, 2, 1, 10, 6, 6, 10, 10, 6, 6, 10, 2, 10, 6, 1, 10, 2, 10, 6, 6, 1, 1, 6, 10, 2, 10, 2, 10, 2, 6, 2, 1, 2, 6, 6, 10, 6, 10, 0, 6, 2, 2, 6, 10, 1, 6, 1, 2, 6, 2, 1, 4, 10, 1, 10, 1, 10, 10, 10, 1, 10, 6, 10, 6, 2, 2, 6, 1, 1, 1, 2, 6, 6, 2, 6, 1, 10, 6, 10, 1, 10, 10, 6, 6, 6, 10, 1, 10, 10, 1, 10, 6, 2, 6, 2, 1, 2, 1, 1, 1, 6, 2, 10, 2, 2, 6, 10, 10, 10, 1, 10, 2, 6, 2, 10, 2, 2, 2, 0, 6, 6, 6, 5, 1, 6, 1, 1, 2, 1, 6, 6, 6, 10, 6, 1, 6, 10, 1, 1, 2, 2, 2, 10, 10, 10, 2, 1, 10, 6, 1, 4, 9, 1, 1, 2, 1, 2, 6, 6, 9, 10, 10, 2, 2, 10, 1, 1, 2, 2, 2, 10, 7, 1, 2, 1, 2, 2, 2, 1, 5, 10, 6, 2, 1, 6, 1, 6, 6, 2, 2, 2, 10, 6, 2, 10, 10, 10, 2, 6, 2, 10, 1, 2, 2, 2, 10, 1, 2, 10, 10, 1, 1, 10, 6, 6, 6, 10, 2, 6, 6, 6, 2, 10, 2, 10, 10, 6, 10, 10, 10, 10, 2, 1, 2, 2, 2, 2, 10, 6, 1, 10, 6, 6, 6, 2, 10, 1, 2, 6, 1, 1, 1, 2, 6, 2, 10, 6, 5, 6, 1, 6, 10, 6, 10, 2, 6, 10, 2, 1, 1, 6, 10, 1, 6, 6, 1, 10, 10, 6, 10, 10, 1, 1, 2, 1, 1, 10, 10, 1, 1, 2, 2, 10, 6, 10, 10, 1, 6, 2, 10, 2, 4, 10, 10, 1, 6, 6, 6, 2, 10, 2, 6, 10, 6, 1, 2, 10, 1, 10, 1, 1, 0, 10, 1, 10, 6, 10, 2, 6, 2, 1, 10, 1, 1, 1, 6, 2, 1, 1, 6, 2, 10, 6, 1, 6, 1, 2, 10, 2, 6, 2, 1, 2, 10, 2, 4, 1, 6, 2, 6, 1, 2, 10, 1, 6, 2, 10, 10, 10, 6, 10, 1, 1, 10, 10, 2, 10, 1, 2, 1, 6, 5, 10, 6, 1, 2, 2, 1, 6, 6, 0, 10, 2, 6, 10, 2, 10, 2, 1, 2, 2, 10, 10, 1, 6, 6, 6, 9, 2, 6, 6, 1, 10, 3, 6, 1, 1, 6, 2, 1, 6, 1, 2, 1, 2, 5, 6, 6, 6, 2, 10, 2, 6, 2, 6, 10, 6, 1, 1, 0, 1, 2, 2, 10, 5, 2, 10, 1, 6, 2, 1, 2, 2, 2, 1, 1, 1, 6, 6, 10, 10, 1, 6, 10, 6, 6, 1, 2, 2, 1, 6, 1, 1, 6, 1, 6, 4, 2, 1, 6, 6, 10, 6, 6, 10, 1, 1, 2, 1, 6, 6, 6, 1, 6, 10, 10, 10, 6, 2, 6, 10, 2, 2, 6, 1, 10, 6, 2, 1, 10, 2, 10, 10, 10, 2, 10, 2, 6, 6, 2, 2, 10, 6, 10, 2, 6, 6, 2, 10, 2, 2, 10, 10, 2, 1, 10, 1, 1, 1, 10, 10, 2, 2, 1, 6, 0, 2, 2, 1, 6, 1, 2, 1, 6, 2, 1, 1, 1, 6, 6, 2, 6, 2, 1, 10, 2, 2, 10, 1, 10, 6, 1, 10, 1, 2, 1, 1, 2, 10, 2, 3, 1, 10, 1, 10, 2, 2, 2, 1, 6, 1, 1, 10, 6, 10, 6, 10, 0, 1, 2, 6, 6, 6, 1, 2, 10, 1, 1, 10, 1, 10, 10, 6, 10, 1, 10, 1, 10, 10, 2, 2, 2, 10, 6, 0, 2, 1, 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10, 6, 2, 2, 10, 1, 10, 6, 1, 6, 6, 10, 1, 1, 2, 6, 1, 1, 6, 1, 1, 6, 10, 1, 1, 2, 10, 6, 1, 10, 1, 1, 1, 1, 1, 1, 2, 2, 10, 2, 6, 1, 1, 10, 10, 2, 1, 2, 10, 1, 1, 6, 1, 2, 2, 10, 6, 1, 6, 2, 40, 0, 1, 2, 6, 1, 10, 6, 10, 10, 10, 1, 2, 10, 2, 5, 10, 1, 10, 2, 2, 10, 2, 4, 1, 2, 10, 1, 10, 10, 1, 9, 2, 2, 1, 10, 2, 10, 9, 2, 10, 2, 2, 1, 6, 1, 2, 6, 1, 10, 1, 6, 1, 2, 2, 6, 10, 10, 5, 2, 6, 2, 6, 10, 10, 2, 2, 2, 6, 10, 2, 2, 5, 6, 6, 2, 6, 1, 10, 2, 10, 1, 6, 1, 6, 1, 1, 1, 2, 2, 1, 6, 10, 2, 2, 6, 6, 1, 10, 2, 6, 6, 1, 2, 2, 2, 2, 6, 6, 10, 6, 10, 10, 1, 1, 6, 2, 10, 2, 2, 1, 6, 10, 10, 10, 6, 6, 1, 1, 6, 10, 2, 2, 6, 10, 10, 2, 6, 9, 1, 1, 1, 10, 10, 1, 6, 6, 1, 2, 6, 2, 2, 10, 6, 1, 10, 1, 1, 2, 6, 6, 6, 2, 6, 2, 2, 2, 6, 10, 1, 2, 10, 10, 2, 10, 6, 6, 10, 6, 2, 10, 2, 2, 6, 50, 1, 10, 10, 1, 6, 1, 6, 6, 10, 10, 1, 1, 2, 6, 1, 4, 1, 1, 10, 1, 6, 10, 1, 10, 0, 1, 1, 6, 2, 6, 10, 6, 4, 1, 10, 6, 1, 1, 2, 10, 1, 1, 10, 2, 6, 2, 1, 2, 1, 1, 10, 6, 2, 5, 10, 2, 2, 6, 10, 10, 2, 2, 2, 1, 0, 10, 10, 2, 1, 6, 6, 10, 1, 10, 10, 10, 10, 6, 6, 1, 2, 6, 10, 2, 10, 0, 6, 6, 2, 6, 2, 1, 2, 2, 2, 6, 6, 6, 6, 2, 10, 1, 10, 10, 2, 2, 10, 6, 1, 1, 10, 6, 10, 2, 10, 6, 10, 10, 2, 2, 1, 1, 1, 1, 2, 1, 1, 10, 1, 10, 2, 6, 10, 6, 1, 10, 6, 6, 2, 1, 2, 6, 6, 1, 4, 2, 6, 6, 10, 10, 1, 6, 0, 6, 10, 0, 6, 2, 6, 6, 2, 2, 6, 6, 2, 1, 6, 1, 6, 6, 10, 1, 10, 10, 2, 2, 1, 2, 10, 2, 6, 1, 6, 1, 10, 6, 2, 10, 1, 6, 10, 1, 10, 2, 2, 1, 1, 2, 6, 2, 6, 10, 10, 6, 10, 10, 2, 1, 6, 10, 10, 2, 10, 2, 2, 10, 6, 10, 1, 6, 6, 10, 2, 6, 1, 6, 6, 1, 2, 10, 10, 1, 10, 10, 10, 10, 2, 6, 2, 6, 2, 2, 2, 2, 6, 10, 1, 6, 2, 2, 2, 1, 2, 1, 10, 1, 1, 6, 2, 2, 2, 1, 6, 0, 2, 1, 1, 2, 2, 1, 2, 1, 10, 1, 2, 1, 1, 1, 6, 1, 2, 10, 5, 2, 1, 6, 1, 6, 2, 10, 10, 1, 2, 10, 1, 4, 6, 2, 10, 2, 1, 6, 1, 2, 6, 2, 1, 6, 6, 6, 6, 2, 2, 10, 1, 6, 6, 2, 6, 6, 1, 1, 2, 10, 6, 2, 1, 10, 6, 1, 6, 6, 1, 40, 1, 10, 1, 6, 6, 6, 10, 1, 1, 6, 1, 10, 2, 1, 1, 1, 10, 1, 9, 2, 2, 10, 6, 10, 6, 10, 6, 6, 2, 6, 5, 1, 2, 2, 6, 1, 6, 1, 1, 6, 1, 2, 10, 6, 10, 6, 6, 1, 1, 1, 5, 5, 10, 6, 2, 10, 2, 6, 2, 1, 1, 10, 10, 2, 1, 2, 2, 6, 2, 2, 10, 6, 1, 1, 1, 2, 10, 6, 2, 10, 2, 2, 2, 2, 2, 1, 6, 2, 6, 6, 2, 6, 10, 10, 1, 2, 2, 6, 10, 10, 2, 2, 0, 6, 2, 10, 6, 2, 10, 9, 2, 10, 6, 2, 6, 1, 2, 2, 1, 10, 2, 1, 6, 0, 9, 2, 1, 2, 10, 2, 2, 6, 2, 10, 2, 10, 10, 6, 1, 10, 6, 6, 6, 10, 6, 1, 2, 1, 6, 2, 1, 2, 10, 1, 1, 1, 2, 10, 1, 2, 10, 10, 10, 10, 2, 10, 2, 1, 6, 2, 6, 10, 10, 1, 10, 1, 1, 1, 6, 2, 10, 2, 6, 1, 2, 6, 10, 10, 6, 2, 2, 0, 10, 2, 10, 10, 10, 1, 1, 10, 1, 2, 10, 1, 6, 6, 10, 1, 6, 4, 1, 1, 1, 6, 10, 6, 6, 1, 10, 1, 2, 2, 2, 2, 9, 1, 1, 1, 2, 6, 1, 6, 6, 10, 1, 2, 6, 10, 1, 2, 1, 6, 2, 1, 1, 10, 1, 1, 1, 1, 6, 1, 6, 10, 1, 10, 2, 10, 6, 1, 6, 2, 1, 10, 1, 1, 10, 2, 10, 1, 6, 1, 10, 10, 10, 10, 1, 6, 2, 1, 6, 1, 2, 0, 10, 2, 2, 1, 10, 1, 2, 10, 10, 4, 6, 10, 6, 6, 6, 1, 2, 1, 2, 1, 6, 10, 6, 1, 2, 1, 2, 1, 6, 1, 1, 6, 6, 1, 1, 2, 1, 6, 1, 10, 6, 6, 10, 6, 2, 1, 1, 1, 6, 10, 6, 10, 1, 6, 1, 10, 10, 10, 2, 6, 2, 6, 1, 6, 10, 2, 6, 10, 6, 6, 6, 1, 0, 1, 1, 2, 6, 4, 2, 2, 2, 1, 1, 2, 2, 2, 2, 10, 2, 5, 2, 1, 10, 6, 2, 6, 2, 2, 2, 6, 1, 9, 1, 10, 10, 2, 6, 6, 10, 2, 10, 2, 1, 6, 6, 6, 6, 6, 1, 1, 6, 6, 6, 10, 10, 10, 10, 5, 6, 1, 1, 2, 2, 10, 1, 1, 1, 10, 2, 10, 2, 1, 1, 1, 1, 6, 6, 1, 2, 1, 6, 6, 1, 2, 10, 6, 6, 10, 2, 10, 6, 60, 10, 1, 10, 2, 2, 1, 10, 2, 10, 10, 1, 6, 6, 6, 1, 6, 2, 1, 2, 1, 10, 10, 6, 1, 2, 2, 6, 2, 2, 1, 6, 6, 10, 1, 1, 2, 1, 2, 1, 10, 1, 2, 10, 1, 2, 2, 1, 2, 6, 2, 2, 6, 10, 1, 9, 10, 10, 10, 10, 1, 6, 10, 2, 1, 10, 1, 2, 10, 10, 1, 2, 10, 10, 1, 1, 10, 1, 1, 1, 10, 2, 9, 1, 2, 9, 10, 1, 10, 2, 2, 6, 2, 6, 2, 1, 2, 6, 2, 10, 6, 1, 1, 1, 6, 10, 10, 2, 10, 0, 1, 2, 10, 6, 10, 1, 6, 6, 2, 10, 2, 2, 2, 6, 6, 10, 1, 6, 2, 1, 10, 2, 2, 1, 6, 10, 10, 2, 10, 10, 2, 1, 6, 2, 10, 2, 10, 9, 2, 1, 0, 2, 2, 1, 1, 6, 1, 1, 2, 2, 10, 10, 6, 1, 6, 10, 2, 6, 2, 2, 10, 6, 6, 2, 1, 10, 2, 6, 2, 6, 1, 2, 6, 10, 2, 2, 1, 2, 2, 6, 1, 10, 9, 6, 6, 10, 2, 10, 6, 10, 2, 10, 10, 1, 6, 6, 6, 10, 1, 6, 6, 1, 1, 1, 10, 10, 6, 1, 1, 10, 10, 6, 6, 2, 6, 2, 10, 1, 2, 10, 10, 1, 6, 6, 6, 9, 6, 1, 2, 2, 1, 6, 2, 1, 10, 2, 6, 10, 10, 10, 10, 2, 6, 2, 6, 6, 1, 1, 1, 2, 6, 10, 10, 10, 2, 6, 10, 2, 10, 1, 2, 6, 6, 10, 6, 1, 1, 1, 6, 10, 10, 6, 6, 2, 2, 10, 10, 2, 2, 2, 1, 10, 6, 6, 1, 6, 10, 1, 10, 1, 10, 5, 6, 6, 10, 1, 10, 2, 10, 2, 6, 2, 6, 2, 10, 10, 6, 1, 1, 1, 1, 2, 2, 1, 2, 1, 10, 2, 10, 10, 6, 10, 1, 1, 6, 2, 10, 6, 10, 40, 10, 10, 1, 2, 1, 2, 2, 10, 6, 1, 1, 1, 1, 6, 6, 10, 10, 1, 1, 1, 10, 1, 2, 2, 2, 1, 6, 6, 1, 1, 6, 2, 10, 10, 1, 2, 10, 6, 10, 2, 10, 2, 1, 6, 10, 2, 5, 10, 2, 10, 6, 2, 6, 6, 10, 2, 1, 6, 10, 6, 2, 6, 10, 1, 2, 10, 6, 1, 1, 10, 1, 0, 1, 1, 10, 6, 6, 2, 10, 10, 1, 2, 2, 6, 1, 1, 2, 2, 1, 1, 2, 6, 6, 6, 10, 6, 6, 2, 6, 2, 6, 1, 6, 1, 2, 1, 6, 6, 6, 1, 1, 2, 10, 10, 10, 10, 10, 10, 2, 6, 2, 2, 10, 10, 2, 10, 6, 1, 6, 6, 1, 2, 10, 6, 2, 10, 1, 0, 6, 1, 2, 10, 1, 1, 2, 1, 6, 1, 10, 6, 10, 6, 6, 2, 2, 1, 2, 6, 10, 10, 2, 10, 6, 2, 6, 1, 6, 10, 2, 6, 6, 10, 6, 2, 6, 6, 2, 10, 10, 6, 2, 6, 10, 1, 6, 2, 10, 6, 2, 1, 4, 2, 1, 1, 2, 1, 1, 6, 10, 1, 0, 6, 1, 2, 2, 2, 1, 10, 6, 6, 1, 1, 6, 6, 2, 6, 10, 6, 1, 1, 10, 10, 2, 1, 5, 2, 1, 10, 6, 2, 6, 1, 1, 10, 2, 6, 6, 1, 10, 10, 1, 10, 6, 2, 6, 6, 6, 6, 6, 6, 2, 1, 2, 6, 2, 10, 2, 10, 2, 6, 1, 1, 1, 6, 1, 1, 1, 6, 6, 1, 10, 2, 2, 1, 6, 10, 6, 2, 10, 1, 6, 1, 10, 10, 10, 2, 10, 1, 6, 10, 6, 2, 2, 2, 10, 1, 1, 10, 1, 1, 2, 10, 2, 6, 10, 1, 6, 6, 2, 1, 2, 2, 10, 10, 2, 6, 2, 10, 1, 2, 10, 10, 6, 1, 10, 10, 6, 6, 2, 2, 2, 1, 1, 6, 6, 2, 10, 1, 1, 10, 2, 6, 2, 1, 10, 1, 6, 1, 6, 2, 10, 10, 10, 2, 2, 2, 10, 2, 2, 2, 1, 10, 10, 2, 1, 1, 10, 6, 6, 6, 10, 10, 10, 10, 1, 1, 1, 2, 10, 6, 6, 10, 1, 2, 10, 2, 1, 9, 6, 6, 6, 10, 2, 10, 1, 10, 6, 6, 2, 10, 6, 10, 1, 1, 1, 6, 2, 6, 2, 1, 1, 6, 1, 1, 6, 2, 2, 2, 6, 10, 10, 1, 6, 1, 6, 10, 2, 6, 2, 10, 1, 2, 6, 1, 10, 10, 6, 10, 6, 10, 1, 6, 5, 2, 9, 10, 1, 1, 2, 10, 2, 6, 10, 2, 2, 10, 2, 6, 6, 10, 10, 2, 1, 10, 1, 10, 1, 6, 1, 6, 10, 6, 6, 2, 6, 1, 2, 2, 6, 2, 2, 6, 10, 1, 10, 6, 0, 10, 2, 1, 1, 2, 1, 1, 2, 10, 10, 10, 1, 10, 1, 1, 10, 10, 2, 2, 2, 2, 1, 5, 6, 6, 6, 10, 6, 2, 1, 10, 1, 2, 10, 2, 2, 1, 2, 10, 10, 2, 10, 1, 6, 1, 6, 2, 6, 6, 6, 10, 10, 10, 1, 0, 2, 10, 2, 1, 1, 1, 10, 2, 2, 6, 2, 10, 6, 10, 1, 6, 6, 1, 10, 2, 2, 10, 1, 10, 10, 6, 1, 1, 10, 1, 10, 2, 10, 2, 1, 1, 1, 4, 2, 1, 2, 6, 10, 2, 2, 5, 2, 1, 10, 6, 2, 10, 1, 2, 6, 6, 1, 6, 5, 6, 2, 1, 10, 6, 2, 10, 6, 1, 2, 10, 2, 1, 10, 10, 2, 10, 1, 10, 6, 6, 6, 6, 1, 2, 10, 1, 1, 6, 10, 2, 6, 6, 2, 2, 10, 1, 1, 10, 10, 2, 1, 2, 6, 6, 6, 10, 6, 2, 1, 2, 10, 10, 1, 6, 6, 1, 2, 10, 6, 2, 10, 1, 2, 10, 6, 2, 1, 10, 6, 1, 6, 2, 10, 2, 2, 1, 1, 6, 10, 6, 6, 10, 4, 2, 1, 10, 2, 10, 2, 1, 1, 6, 6, 1, 0, 10, 6, 6, 10, 2, 6, 10, 10, 1, 2, 1, 10, 6, 2, 1, 10, 2, 6, 6, 1, 0, 1, 6, 2, 1, 6, 9, 5, 2, 2, 6, 6, 6, 6, 2, 2, 5, 6, 6, 2, 10, 10, 10, 10, 1, 2, 6, 6, 10, 10, 6, 6, 2, 10, 6, 1, 10, 1, 10, 10, 2, 10, 10, 1, 1, 10, 6, 2, 6, 1, 1, 1, 10, 10, 4, 6, 10, 2, 6, 2, 6, 2, 2, 6, 6, 2, 1, 1, 1, 1, 6, 6, 2, 2, 6, 5, 6, 2, 1, 2, 1, 10, 2, 2, 10, 0, 1, 6, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 6, 1, 2, 6, 2, 1, 6, 9, 10, 1, 9, 6, 1, 1, 1, 2, 1, 1, 2, 6, 2, 2, 2, 6, 1, 6, 4, 2, 10, 10, 2, 10, 0, 6, 6, 9, 2, 2, 1, 10, 6, 1, 1, 10, 2, 1, 2, 10, 1, 10, 2, 1, 1, 6, 2, 1, 6, 1, 5, 2, 1, 6, 6, 6, 5, 2, 1, 10, 2, 2, 2, 0, 10, 10, 10, 10, 6, 2, 2, 1, 6, 2, 10, 1, 2, 2, 6, 2, 6, 1, 2, 6, 6, 10, 10, 1, 6, 6, 6, 10, 2, 6, 2, 2, 10, 2, 2, 10, 2, 10, 6, 6, 1, 10, 2, 6, 1, 10, 2, 6, 2, 6, 6, 2, 2, 1, 2, 6, 10, 10, 2, 1, 1, 1, 1, 10, 6, 1, 6, 2, 1, 2, 1, 10, 6, 2, 2, 2, 1, 10, 10, 2, 1, 1, 6, 6, 1, 0, 2, 10, 10, 6, 1, 50, 2, 6, 2, 10, 1, 6, 6, 2, 1, 6, 6, 2, 2, 10, 1, 6, 2, 10, 6, 2, 1, 6, 10, 6, 2, 6, 6, 1, 10, 1, 10, 2, 6, 2, 2, 10, 1, 6, 2, 2, 6, 1, 2, 6, 6, 1, 10, 1, 1, 6, 1, 1, 6, 2, 10, 6, 1, 10, 1, 2, 6, 2, 10, 6, 1, 10, 2, 6, 10, 2, 10, 10, 10, 2, 2, 6, 10, 10, 6, 2, 10, 1, 1, 10, 10, 10, 6, 1, 6, 6, 9, 9, 6, 1, 2, 6, 6, 6, 1, 1, 1, 10, 2, 6, 2, 1, 2, 1, 1, 1, 6, 6, 2, 6, 6, 4, 10, 1, 2, 6, 10, 2, 6, 10, 1, 6, 10, 2, 2, 10, 9, 10, 1, 1, 2, 6, 5, 2, 9, 1, 6, 1, 10, 1, 2, 1, 10, 2, 6, 1, 10, 6, 1, 10, 2, 6, 2, 10, 2, 10, 2, 1, 2, 10, 0, 6, 2, 9, 10, 2, 1, 10, 10, 2, 10, 6, 6, 6, 2, 1, 2, 1, 10, 10, 10, 2, 6, 10, 1, 6, 10, 1, 2, 10, 1, 10, 6, 2, 10, 2, 1, 6, 2, 1, 2, 6, 1, 2, 2, 2, 6, 6, 10, 10, 6, 6, 1, 1, 1, 2, 6, 6, 6, 0, 2, 6, 1, 6, 2, 10, 6, 6, 6, 6, 1, 6, 6, 2, 2, 2, 10, 2, 1, 1, 10, 2, 1, 9, 1, 10, 1, 2, 6, 2, 9, 10, 10, 6, 6, 10, 6, 1, 6, 6, 10, 10, 10, 1, 6, 1, 10, 2, 6, 6, 2, 1, 10, 10, 1, 2, 1, 4, 10, 10, 6, 6, 2, 10, 1, 10, 1, 1, 2, 10, 1, 2, 6, 10, 2, 6, 1, 2, 6, 2, 2, 10, 1, 6, 10, 10, 2, 10, 10, 1, 6, 10, 1, 5, 10, 1, 2, 1, 1, 2, 1, 6, 1, 10, 6, 10, 2, 2, 1, 1, 6, 10, 2, 9, 2, 6, 1, 2, 2, 1, 6, 10, 6, 10, 10, 10, 10, 10, 10, 1, 2, 10, 1, 6, 6, 1, 6, 1, 2, 10, 10, 6, 1, 9, 10, 6, 2, 6, 10, 2, 2, 6, 6, 10, 2, 2, 6, 10, 6, 10, 2, 2, 1, 1, 2, 1, 6, 10, 10, 10, 6, 2, 6, 2, 0, 1, 10, 2, 2, 6, 2, 1, 2, 1, 1, 10, 1, 6, 10, 10, 2, 10, 6, 1, 6, 1, 1, 1, 9, 10, 2, 10, 1, 10, 6, 2, 6, 10, 10, 10, 2, 10, 10, 1, 1, 1, 10, 9, 1, 2, 6, 1, 2, 6, 6, 2, 1, 2, 2, 10, 10, 1, 6, 1, 2, 6, 10, 10, 6, 1, 2, 1, 6, 10, 6, 6, 10, 1, 2, 10, 6, 1, 6, 4, 10, 2, 10, 6, 1, 2, 2, 6, 2, 6, 10, 1, 1, 1, 1, 6, 2, 10, 1, 6, 2, 6, 2, 1, 2, 6, 2, 10, 6, 10, 10, 2, 6, 1, 6, 10, 2, 2, 10, 2, 1, 1, 6, 1, 2, 10, 1, 10, 1, 6, 1, 2, 6, 6, 10, 2, 6, 1, 6, 2, 1, 2, 2, 2, 10, 2, 10, 6, 6, 10, 6, 6, 6, 6, 1, 1, 10, 2, 2, 1, 1, 1, 1, 1, 6, 2, 4, 6, 6, 1, 6, 1, 10, 2, 2, 10, 10, 6, 6, 2, 6, 1, 2, 10, 10, 6, 6, 10, 6, 6, 10, 10, 2, 2, 1, 10, 6, 4, 1, 6, 6, 10, 2, 6, 2, 1, 10, 10, 10, 10, 2, 10, 6, 2, 10, 1, 1, 1, 1, 6, 10, 10, 2, 10, 6, 1, 10, 6, 10, 6, 2, 10, 1, 1, 6, 10, 2, 6, 4, 6, 10, 6, 2, 2, 1, 6, 1, 5, 4, 2, 2, 6, 0, 10, 9, 6, 2, 2, 6, 1, 1, 5, 1, 2, 2, 6, 6, 1, 1, 10, 1, 2, 6, 2, 1, 10, 10, 2, 6, 6, 2, 10, 6, 10, 2, 9, 10, 10, 2, 5, 2, 10, 1, 6, 2, 1, 6, 2, 1, 2, 1, 6, 2, 1, 2, 1, 1, 1, 1, 2, 9, 10, 2, 1, 2, 1, 2, 10, 10, 2, 1, 1, 6, 10, 2, 1, 10, 2, 2, 10, 2, 10, 6, 1, 1, 1, 1, 10, 2, 10, 10, 6, 10, 6, 10, 6, 6, 10, 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1, 10, 2, 2, 6, 2, 6, 9, 5, 6, 10, 0, 6, 1, 10, 1, 10, 10, 10, 6, 10, 6, 1, 10, 10, 10, 2, 1, 2, 10, 2, 2, 10, 10, 6, 2, 1, 1, 9, 1, 9, 2, 2, 6, 10, 10, 10, 6, 1, 1, 6, 10, 6, 2, 10, 10, 6, 2, 10, 10, 6, 1, 2, 6, 6, 6, 10, 1, 1, 6, 2, 1, 10, 10, 6, 6, 2, 2, 6, 1, 6, 2, 10, 1, 6, 10, 10, 1, 1, 10, 2, 6, 10, 2, 1, 1, 6, 6, 10, 2, 2, 6, 2, 6, 2, 2, 10, 10, 6, 1, 6, 10, 2, 1, 5, 6, 1, 6, 2, 2, 1, 2, 1, 6, 1, 1, 6, 2, 1, 1, 1, 6, 1, 1, 1, 10, 6, 6, 9, 2, 6, 6, 10, 1, 1, 6, 2, 6, 10, 1, 2, 1, 2, 1, 10, 1, 10, 1, 10, 10, 10, 1, 9, 6, 10, 2, 1, 11, 10, 6, 1, 10, 2, 6, 10, 6, 6, 6, 10, 2, 6, 1, 1, 6, 2, 6, 2, 6, 2, 6, 10, 2, 6, 10, 2, 1, 2, 2, 10, 10, 10, 10, 6, 10, 2, 2, 1, 10, 2, 10, 1, 10, 10, 6, 2, 10, 10, 1, 1, 6, 6, 2, 1, 10, 2, 10, 1, 2, 6, 10, 6, 6, 6, 10, 6, 0, 10, 1, 2, 10, 10, 6, 2, 10, 2, 2, 6, 10, 6, 9, 10, 2, 10, 6, 6, 10, 10, 1, 1, 1, 10, 2, 6, 1, 1, 6, 2, 10, 10, 1, 2, 2, 10, 1, 6, 10, 1, 6, 1, 1, 6, 10, 5, 2, 6, 6, 1, 10, 6, 6, 10, 6, 6, 6, 10, 10, 10, 6, 2, 1, 6, 6, 6, 2, 2, 6, 10, 2, 6, 10, 1, 10, 1, 1, 6, 2, 10, 2, 1, 2, 6, 6, 6, 2, 6, 2, 1, 10, 1, 10, 1, 1, 2, 10, 10, 10, 1, 2, 10, 1, 1, 10, 1, 10, 6, 10, 2, 6, 6, 10, 6, 10, 1, 1, 6, 1, 1, 2, 2, 1, 2, 10, 4, 10, 1, 2, 2, 1, 10, 2, 6, 6, 6, 1, 10, 2, 6, 1, 6, 5, 2, 2, 10, 2, 1, 2, 6, 6, 2, 2, 2, 2, 2, 10, 10, 10, 2, 1, 9, 10, 2, 10, 10, 2, 2, 2, 6, 2, 10, 2, 2, 1, 1, 1, 10, 2, 10, 1, 2, 10, 10, 2, 10, 6, 10, 10, 4, 10, 1, 1, 2, 2, 10, 1, 1, 1, 6, 7, 2, 10, 10, 10, 50, 10, 6, 10, 1, 6, 1, 6, 10, 1, 1, 9, 1, 6, 6, 6, 2, 10, 10, 2, 6, 2, 10, 6, 6, 1, 6, 10, 2, 1, 6, 10, 2, 6, 1, 10, 2, 10, 9, 4, 1, 1, 2, 2, 6, 3, 1, 2, 10, 10, 1, 1, 10, 10, 9, 2, 1, 10, 1, 1, 10, 1, 6, 10, 1, 2, 2, 6, 10, 1, 2, 1, 1, 10, 1, 2, 1, 6, 2, 10, 1, 10, 1, 2, 10, 1, 1, 6, 2, 10, 5, 4, 2, 10, 2, 1, 1, 1, 2, 1, 2, 2, 6, 10, 10, 1, 1, 1, 1, 2, 10, 1, 6, 2, 10, 10, 1, 10, 2, 6, 6, 6, 1, 2, 10, 6, 10, 10, 10, 6, 10, 2, 6, 6, 6, 4, 2, 1, 6, 10, 1, 10, 6, 6, 10, 1, 1, 6, 1, 2, 10, 1, 6, 2, 1, 1, 10, 10, 2, 1, 1, 6, 1, 10, 2, 2, 6, 2, 6, 6, 2, 1, 6, 1, 1, 6, 10, 6, 10, 2, 6, 1, 2, 6, 1, 2, 10, 10, 1, 2, 1, 10, 6, 1, 1, 10, 10, 6, 2, 6, 2, 10, 2, 1, 1, 2, 2, 2, 10, 5, 2, 1, 1, 6, 1, 1, 2, 1, 2, 10, 6, 10, 2, 2, 6, 1, 6, 10, 2, 2, 10, 6, 4, 2, 1, 1, 6, 4, 1, 6, 10, 2, 1, 10, 1, 10, 6, 10, 10, 9, 10, 2, 5, 6, 6, 2, 2, 10, 2, 1, 2, 1, 2, 2, 2, 2, 6, 6, 6, 1, 10, 6, 2, 10, 1, 2, 10, 6, 10, 6, 1, 10, 6, 1, 10, 1, 10, 6, 2, 1, 6, 6, 6, 10, 2, 10, 10, 1, 10, 2, 6, 10, 6, 1, 10, 10, 2, 10, 10, 10, 9, 1, 1, 2, 1, 1, 9, 6, 2, 6, 2, 2, 5, 2, 9, 6, 1, 10, 10, 1, 10, 2, 6, 6, 10, 2, 10, 1, 10, 1, 1, 6, 2, 10, 2, 1, 10, 10, 6, 1, 6, 6, 1, 1, 2, 6, 2, 10, 10, 1, 1, 1, 6, 10, 2, 1, 2, 6, 2, 1, 9, 1, 6, 1, 6, 4, 1, 1, 1, 2, 10, 1, 10, 0, 10, 6, 2, 10, 6, 1, 0, 2, 6, 6, 1, 10, 1, 2, 6, 10, 1, 2, 10, 2, 6, 1, 6, 10, 1, 2, 1, 6, 2, 2, 10, 6, 2, 2, 6, 6, 1, 1, 1, 10, 10, 1, 10, 6, 6, 10, 10, 0, 6, 10, 1, 1, 1, 6, 2, 10, 2, 10, 6, 10, 10, 2, 6, 2, 6, 1, 2, 6, 6, 6, 2, 1, 1, 2, 2, 6, 10, 1, 1, 1, 6, 2, 6, 2, 10, 6, 6, 6, 2, 6, 10, 1, 2, 10, 6, 5, 6, 1, 1, 1, 1, 2, 10, 2, 6, 2, 6, 10, 2, 1, 6, 2, 10, 1, 1, 6, 2, 10, 1, 6, 6, 10, 2, 10, 10, 1, 1, 6, 6, 6, 1, 10, 1, 6, 9, 6, 1, 6, 2, 2, 1, 10, 10, 6, 6, 10, 10, 6, 6, 2, 2, 6, 10, 1, 6, 6, 1, 6, 10, 6, 1, 10, 10, 2, 2, 6, 2, 6, 2, 1, 2, 6, 9, 10, 2, 6, 2, 6, 1, 6, 6, 10, 10, 10, 1, 1, 2, 6, 1, 2, 2, 2, 10, 1, 10, 5, 2, 2, 2, 10, 6, 6, 2, 2, 1, 1, 5, 10, 1, 6, 2, 2, 1, 1, 1, 6, 10, 2, 6, 10, 1, 1, 6, 10, 9, 1, 2, 1, 10, 6, 2, 6, 6, 5, 6, 6, 1, 1, 10, 2, 9, 10, 1, 6, 1, 5, 6, 2, 5, 2, 2, 10, 2, 10, 6, 6, 10, 1, 6, 10, 1, 1, 2, 10, 2, 6, 1, 10, 1, 10, 1, 1, 6, 2, 1, 6, 1, 10, 1, 1, 1, 2, 10, 2, 2, 10, 6, 6, 5, 2, 2, 10, 6, 1, 2, 10, 1, 1, 1, 10, 1, 2, 1, 6, 6, 10, 2, 2, 2, 6, 10, 6, 10, 6, 1, 9, 10, 9, 1, 1, 2, 10, 2, 2, 1, 1, 6, 1, 2, 1, 10, 6, 4, 1, 1, 1, 1, 6, 10, 2, 6, 1, 2, 10, 6, 10, 10, 6, 0, 10, 10, 10, 10, 1, 9, 10, 2, 6, 2, 10, 1, 10, 2, 10, 1, 6, 6, 4, 10, 2, 2, 1, 1, 10, 10, 10, 10, 6, 2, 2, 2, 6, 1, 1, 1, 10, 1, 10, 1, 2, 6, 1, 1, 10, 2, 2, 6, 2, 2, 2, 6, 1, 2, 6, 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10, 1, 1, 6, 1, 10, 6, 1, 10, 10, 6, 10, 10, 10, 10, 1, 1, 10, 6, 5, 2, 1, 1, 2, 10, 1, 1, 2, 10, 10, 2, 5, 4, 6, 10, 2, 2, 2, 10, 10, 6, 6, 10, 6, 6, 6, 2, 2, 1, 2, 2, 10, 2, 1, 6, 6, 6, 6, 1, 2, 6, 6, 1, 10, 6, 6, 2, 2, 6, 1, 2, 6, 2, 1, 2, 1, 6, 2, 6, 10, 1, 6, 1, 1, 1, 6, 10, 2, 10, 6, 1, 1, 10, 10, 5, 9, 2, 10, 10, 1, 6, 1, 6, 6, 2, 2, 1, 6, 6, 10, 1, 2, 1, 6, 5, 1, 2, 10, 2, 2, 10, 10, 2, 10, 2, 10, 10, 1, 2, 2, 10, 2, 6, 1, 6, 2, 2, 1, 1, 6, 6, 1, 1, 2, 10, 1, 1, 1, 2, 5, 6, 6, 6, 1, 2, 10, 6, 1, 10, 10, 2, 10, 2, 10, 6, 6, 1, 6, 6, 6, 0, 6, 6, 10, 2, 1, 2, 6, 10, 1, 2, 1, 2, 1, 6, 1, 10, 1, 2, 6, 1, 2, 10, 10, 6, 2, 6, 1, 10, 10, 6, 10, 2, 6, 2, 1, 6, 1, 2, 6, 6, 10, 1, 6, 6, 1, 10, 10, 2, 10, 6, 2, 2, 2, 10, 6, 2, 1, 1, 6, 10, 10, 2, 10, 6, 10, 6, 2, 6, 1, 10, 6, 2, 2, 10, 10, 6, 6, 2, 10, 1, 1, 10, 10, 1, 6, 1, 6, 1, 1, 6, 6, 6, 1, 1, 6, 2, 10, 6, 1, 6, 2, 1, 1, 2, 10, 2, 1, 6, 6, 6, 6, 1, 6, 10, 6, 2, 5, 1, 10, 10, 2, 6, 10, 6, 2, 2, 2, 10, 10, 1, 6, 6, 10, 1, 6, 1, 2, 10, 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5, 6, 2, 2, 1, 10, 2, 6, 2, 1, 1, 1, 1, 2, 6, 6, 2, 6, 10, 2, 6, 2, 2, 2, 6, 2, 2, 5, 10, 1, 10, 6, 2, 2, 1, 6, 6, 10, 6, 2, 1, 2, 2, 10, 1, 1, 5, 6, 1, 2, 2, 10, 2, 6, 10, 10, 10, 1, 2, 2, 2, 6, 6, 1, 10, 2, 1, 2, 2, 6, 1, 6, 2, 10, 4, 6, 1, 6, 6, 10, 2, 1, 10, 10, 6, 6, 2, 4, 1, 6, 6, 1, 2, 6, 10, 10, 10, 10, 6, 10, 6, 6, 1, 6, 10, 2, 1, 6, 2, 6, 6, 6, 6, 2, 6, 2, 6, 2, 2, 1, 10, 1, 10, 6, 6, 2, 1, 6, 4, 1, 6, 6, 6, 5, 1, 2, 2, 1, 2, 1, 6, 6, 10, 1, 2, 1, 2, 1, 6, 6, 1, 10, 4, 6, 9, 2, 1, 10, 2, 2, 1, 6, 10, 6, 6, 2, 1, 2, 1, 2, 10, 10, 10, 10, 10, 1, 6, 1, 1, 6, 1, 2, 1, 6, 6, 6, 10, 2, 2, 6, 1, 6, 10, 2, 6, 1, 6, 1, 2, 1, 2, 1, 1, 1, 10, 1, 6, 1, 2, 2, 1, 1, 0, 1, 6, 1, 2, 10, 1, 1, 2, 2, 1, 1, 10, 6, 6, 10, 1, 10, 10, 6, 2, 2, 1, 6, 1, 6, 1, 6, 2, 2, 1, 6, 1, 10, 1, 2, 1, 1, 1, 2, 10, 2, 6, 2, 1, 2, 10, 1, 10, 1, 1, 1, 10, 10, 6, 10, 6, 1, 1, 9, 1, 2, 2, 1, 6, 1, 1, 6, 6, 1, 6, 2, 2, 6, 6, 10, 6, 1, 6, 1, 1, 6, 10, 10, 1, 2, 1, 10, 2, 10, 2, 1, 1, 1, 6, 0, 1, 1, 2, 1, 2, 1, 10, 10, 2, 10, 5, 2, 6, 1, 2, 10, 6, 2, 1, 1, 10, 6, 2, 2, 6, 1, 10, 2, 10, 10, 10, 9, 1, 6, 6, 1, 2, 10, 10, 2, 6, 6, 10, 6, 9, 1, 1, 1, 2, 1, 10, 1, 2, 6, 6, 1, 1, 1, 6, 6, 6, 10, 1, 6, 6, 2, 2, 2, 2, 6, 6, 1, 10, 6, 6, 6, 1, 6, 2, 6, 2, 10, 1, 10, 2, 1, 10, 1, 10, 10, 2, 2, 2, 10, 2, 10, 6, 1, 6, 6, 10, 9, 1, 10, 6, 10, 2, 1, 1, 2, 10, 1, 10, 1, 10, 6, 2, 1, 1, 0, 10, 6, 10, 2, 1, 1, 1, 1, 2, 10, 10, 10, 6, 10, 2, 2, 2, 2, 2, 1, 1, 6, 2, 10, 1, 6, 2, 1, 1, 6, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 6, 2, 6, 1, 6, 6, 1, 2, 2, 10, 10, 2, 2, 1, 1, 2, 2, 4, 2, 2, 1, 6, 1, 6, 1, 2, 2, 4, 2, 10, 10, 5, 6, 10, 6, 2, 2, 1, 6, 10, 10, 2, 10, 2, 1, 2, 1, 1, 10, 2, 1, 1, 10, 10, 1, 10, 10, 6, 1, 2, 10, 10, 2, 2, 1, 5, 10, 6, 1, 1, 10, 6, 1, 1, 6, 1, 10, 6, 10, 1, 10, 6, 1, 1, 10, 6, 10, 1, 6, 6, 10, 2, 6, 2, 6, 2, 6, 1, 1, 2, 1, 6, 10, 1, 50, 6, 6, 1, 2, 4, 1, 2, 1, 6, 1, 6, 6, 1, 2, 10, 1, 1, 2, 10, 2, 2, 6, 10, 6, 10, 6, 1, 6, 2, 2, 10, 1, 2, 10, 6, 5, 2, 2, 2, 2, 6, 6, 2, 1, 6, 6, 2, 2, 2, 10, 6, 2, 1, 6, 1, 6, 1, 1, 5, 1, 1, 2, 1, 1, 10, 6, 6, 1, 1, 10, 10, 3, 10, 1, 1, 10, 2, 6, 10, 1, 2, 1, 1, 4, 1, 2, 6, 2, 10, 2, 6, 6, 6, 2, 1, 2, 6, 1, 6, 1, 6, 1, 10, 6, 1, 10, 10, 2, 10, 1, 2, 1, 10, 10, 2, 2, 1, 2, 1, 6, 10, 2, 2, 10, 6, 2, 2, 2, 6, 0, 6, 10, 6, 2, 6, 1, 10, 10, 2, 2, 2, 2, 6, 1, 10, 6, 10, 6, 1, 10, 10, 1, 0, 10, 2, 6, 10, 2, 6, 10, 2, 10, 6, 2, 10, 1, 0, 1, 10, 2, 4, 1, 2, 2, 1, 2, 2, 1, 6, 6, 2, 10, 10, 6, 10, 6, 10, 2, 10, 6, 6, 10, 1, 1, 2, 1, 1, 6, 6, 6, 1, 10, 9, 1, 6, 10, 6, 6, 0, 2, 10, 1, 2, 6, 6, 10, 2, 1, 10, 1, 10, 10, 10, 10, 1, 6, 9, 6, 2, 10, 1, 2, 1, 6, 1, 1, 10, 1, 6, 1, 6, 1, 6, 6, 6, 2, 2, 2, 6, 10, 10, 2, 2, 10, 10, 2, 6, 9, 2, 2, 1, 2, 10, 1, 6, 10, 5, 6, 10, 6, 1, 6, 1, 1, 1, 1, 6, 6, 6, 1, 6, 1, 1, 2, 2, 2, 1, 6, 2, 6, 6, 4, 2, 10, 10, 1, 10, 6, 6, 1, 2, 10, 10, 10, 1, 10, 2, 10, 10, 6, 6, 6, 1, 6, 10, 2, 2, 1, 1, 2, 1, 10, 10, 10, 2, 6, 10, 6, 6, 2, 1, 10, 6, 6, 9, 1, 1, 1, 1, 6, 1, 2, 10, 6, 1, 6, 2, 1, 10, 2, 6, 10, 10, 10, 2, 1, 10, 6, 2, 2, 10, 2, 1, 9, 6, 1, 10, 2, 2, 2, 10, 6, 2, 10, 10, 2, 6, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 6, 2, 2, 6, 1, 1, 2, 6, 10, 6, 6, 10, 4, 1, 6, 2, 10, 6, 2, 10, 10, 6, 1, 6, 2, 1, 6, 2, 10, 2, 6, 10, 2, 6, 6, 1, 2, 1, 6, 1, 6, 2, 6, 1, 2, 10, 2, 10, 2, 1, 2, 10, 10, 10, 2, 10, 10, 2, 2, 10, 6, 1, 2, 6, 2, 2, 10, 1, 10, 2, 1, 1, 10, 1, 2, 1, 10, 6, 6, 2, 1, 6, 6, 10, 10, 6, 6, 2, 6, 10, 1, 10, 6, 0, 2, 1, 2, 10, 6, 6, 6, 6, 10, 6, 1, 1, 2, 2, 2, 6, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 4, 2, 2, 2, 1, 6, 10, 2, 6, 10, 1, 2, 6, 6, 1, 1, 2, 2, 6, 2, 10, 6, 10, 1, 10, 6, 6, 1, 6, 2, 1, 2, 1, 1, 10, 1, 10, 10, 1, 10, 1, 10, 6, 10, 10, 6, 1, 1, 10, 10, 1, 2, 10, 10, 6, 1, 6, 2, 6, 10, 1, 10, 6, 9, 1, 6, 2, 10, 6, 10, 2, 6, 6, 5, 1, 2, 1, 1, 6, 10, 6, 2, 1, 10, 6, 10, 1, 10, 1, 2, 1, 1, 1, 6, 2, 4, 2, 2, 2, 1, 1, 6, 6, 10, 1, 2, 10, 10, 1, 1, 6, 1, 6, 6, 6, 2, 6, 6, 1, 6, 1, 6, 1, 0, 6, 6, 1, 1, 6, 10, 4, 1, 1, 2, 10, 2, 10, 10, 10, 2, 6, 10, 10, 10, 1, 2, 10, 1, 4, 1, 1, 2, 2, 2, 10, 2, 2, 6, 10, 6, 2, 10, 2, 10, 10, 10, 2, 10, 10, 2, 1, 6, 4, 10, 6, 4, 1, 10, 2, 1, 1, 1, 1, 1, 10, 2, 2, 1, 1, 6, 10, 6, 2, 1, 6, 1, 6, 1, 6, 1, 10, 6, 1, 6, 6, 10, 10, 10, 6, 6, 10, 2, 2, 1, 10, 2, 2, 6, 6, 10, 10, 6, 1, 6, 10, 10, 2, 1, 2, 1, 1, 10, 2, 6, 10, 10, 2, 6, 6, 10, 1, 1, 2, 10, 10, 10, 6, 10, 1, 6, 2, 2, 2, 2, 6, 2, 6, 1, 1, 2, 1, 5, 1, 10, 10, 4, 1, 1, 6, 1, 10, 2, 10, 2, 10, 6, 6, 1, 2, 2, 1, 1, 1, 2, 6, 1, 6, 1, 1, 1, 6, 6, 2, 6, 10, 10, 1, 1, 10, 1, 4, 1, 1, 2, 6, 10, 6, 2, 10, 1, 2, 6, 2, 1, 6, 1, 2, 6, 10, 6, 10, 6, 10, 1, 10, 6, 6, 6, 10, 10, 10, 1, 2, 6, 2, 2, 2, 2, 6, 6, 1, 6, 10, 10, 6, 6, 6, 1, 1, 10, 10, 6, 10, 6, 2, 1, 10, 10, 10, 6, 2, 1, 10, 2, 1, 6, 2, 6, 1, 6, 10, 10, 10, 10, 2, 10, 9, 6, 1, 10, 2, 1, 1, 1, 2, 6, 10, 10, 6, 2, 10, 10, 2, 6, 10, 5, 2, 6, 10, 2, 10, 10, 2, 2, 1, 6, 2, 2, 10, 1, 10, 10, 10, 1, 2, 10, 1, 10, 2, 4, 4, 6, 2, 10, 1, 2, 2, 6, 6, 6, 10, 4, 1, 6, 6, 6, 1, 2, 6, 6, 1, 2, 6, 1, 2, 10, 2, 2, 1, 10, 1, 1, 10, 6, 6, 2, 1, 5, 6, 1, 10, 1, 1, 6, 2, 10, 6, 6, 1, 2, 1, 6, 6, 6, 4, 6, 1, 1, 6, 6, 10, 2, 10, 10, 10, 2, 6, 6, 2, 6, 6, 2, 2, 9, 1, 1, 10, 1, 2, 6, 60, 6, 10, 6, 2, 6, 6, 2, 10, 10, 2, 6, 6, 6, 10, 2, 10, 10, 2, 1, 1, 1, 2, 6, 1, 1, 6, 10, 1, 6, 10, 10, 6, 10, 10, 1, 4, 1, 2, 2, 6, 10, 1, 1, 1, 6, 6, 10, 6, 0, 10, 10, 6, 2, 1, 10, 2, 10, 1, 2, 0, 2, 10, 6, 2, 2, 6, 10, 6, 2, 1, 2, 2, 6, 0, 1, 2, 1, 2, 6, 1, 1, 10, 1, 2, 1, 1, 6, 10, 2, 2, 1, 10, 10, 1, 10, 1, 6, 10, 1, 2, 2, 1, 10, 2, 1, 6, 1, 2, 1, 2, 10, 1, 1, 2, 10, 1, 6, 1, 10, 2, 6, 1, 10, 6, 1, 1, 6, 1, 6, 0, 6, 10, 6, 6, 1, 6, 10, 1, 2, 2, 10, 2, 6, 2, 2, 10, 6, 10, 6, 2, 6, 1, 2, 1, 6, 2, 10, 10, 1, 1, 6, 6, 1, 6, 6, 1, 6, 1, 6, 1, 6, 6, 1, 10, 1, 2, 1, 1, 1, 1, 1, 2, 1, 10, 1, 1, 2, 6, 10, 2, 10, 1, 6, 10, 2, 1, 2, 1, 6, 6, 1, 10, 10, 2, 10, 10, 2, 2, 6, 1, 10, 1, 1, 10, 2, 2, 1, 10, 2, 1, 1, 2, 10, 10, 2, 1, 1, 1, 5, 2, 2, 10, 1, 2, 6, 2, 10, 1, 1, 2, 0, 10, 10, 2, 6, 10, 6, 6, 6, 4, 1, 2, 2, 6, 10, 1, 10, 1, 1, 2, 1, 1, 6, 6, 10, 2, 10, 2, 6, 0, 6, 1, 10, 1, 10, 10, 0, 1, 1, 1, 0, 6, 10, 1, 1, 10, 6, 6, 6, 2, 0, 2, 10, 10, 10, 1, 6, 6, 6, 1, 1, 1, 6, 10, 6, 2, 2, 10, 2, 1, 2, 2, 2, 1, 10, 1, 6, 2, 10, 10, 10, 2, 6, 2, 10, 6, 2, 2, 1, 6, 10, 2, 2, 1, 6, 1, 1, 6, 6, 10, 10, 1, 1, 1, 2, 10, 0, 6, 10, 2, 10, 1, 6, 10, 2, 1, 6, 1, 1, 2, 2, 1, 10, 10, 10, 10, 6, 4, 6, 1, 5, 6, 2, 6, 2, 10, 1, 10, 2, 10, 1, 1, 2, 2, 1, 6, 6, 1, 10, 1, 10, 1, 1, 10, 6, 1, 10, 6, 1, 10, 2, 6, 6, 6, 1, 2, 10, 10, 10, 6, 2, 0, 1, 1, 6, 1, 6, 2, 0, 1, 1, 1, 6, 2, 2, 6, 1, 2, 1, 10, 6, 1, 2, 10, 6, 2, 10, 2, 2, 1, 10, 1, 2, 6, 6, 2, 1, 2, 10, 1, 6, 10, 1, 1, 2, 10, 10, 1, 6, 10, 1, 2, 10, 1, 1, 10, 2, 6, 10, 10, 10, 1, 9, 1, 6, 10, 3, 1, 2, 2, 10, 10, 10, 6, 1, 6, 10, 2, 10, 1, 2, 1, 2, 6, 1, 1, 2, 10, 1, 10, 1, 10, 1, 1, 10, 10, 1, 6, 1, 10, 2, 1, 2, 10, 1, 1, 2, 10, 10, 10, 10, 2, 6, 1, 2, 2, 10, 1, 6, 1, 6, 6, 2, 2, 6, 1, 1, 2, 10, 2, 6, 10, 6, 4, 10, 10, 10, 6, 1, 2, 2, 1, 10, 2, 10, 10, 2, 10, 10, 6, 10, 10, 10, 1, 6, 1, 1, 6, 6, 1, 1, 10, 2, 2, 10, 6, 6, 6, 10, 1, 10, 10, 6, 6, 1, 10, 1, 10, 2, 10, 10, 1, 6, 6, 10, 10, 10, 6, 10, 9, 1, 1, 2, 2, 2, 2, 6, 10, 1, 1, 2, 2, 10, 10, 2, 6, 2, 6, 2, 1, 10, 6, 1, 1, 1, 10, 2, 2, 1, 2, 0, 6, 6, 2, 1, 10, 2, 2, 10, 2, 10, 1, 6, 1, 10, 2, 10, 10, 6, 6, 10, 6, 10, 10, 1, 6, 2, 6, 10, 2, 6, 1, 6, 6, 1, 1, 1, 10, 10, 1, 4, 1, 6, 1, 6, 6, 2, 1, 6, 1, 1, 1, 6, 5, 6, 6, 1, 2, 1, 6, 6, 6, 1, 10, 2, 2, 10, 2, 2, 10, 2, 6, 1, 1, 2, 2, 1, 1, 6, 2, 10, 2, 10, 2, 1, 1, 2, 6, 2, 6, 2, 2, 6, 6, 1, 6, 10, 1, 10, 10, 2, 10, 10, 1, 2, 2, 10, 4, 1, 1, 1, 10, 10, 1, 10, 6, 6, 6, 10, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 6, 6, 10, 6, 6, 1, 10, 6, 10, 6, 1, 6, 1, 2, 1, 6, 6, 10, 10, 2, 2, 1, 10, 6, 2, 1, 6, 1, 6, 2, 10, 4, 2, 6, 10, 1, 6, 6, 1, 2, 10, 1, 6, 6, 10, 2, 10, 2, 6, 2, 1, 0, 1, 1, 1, 6, 10, 1, 10, 6, 2, 6, 2, 6, 6, 4, 2, 6, 1, 2, 10, 2, 2, 10, 2, 6, 2, 1, 6, 2, 10, 1, 1, 9, 10, 6, 6, 10, 6, 10, 10, 6, 10, 2, 10, 10, 2, 1, 10, 1, 6, 6, 6, 6, 2, 2, 4, 10, 1, 1, 6, 6, 2, 6, 2, 10, 10, 6, 10, 2, 6, 10, 1, 2, 2, 6, 2, 1, 10, 6, 1, 6, 10, 10, 1, 10, 1, 2, 10, 10, 2, 10, 10, 10, 2, 6, 10, 5, 2, 10, 6, 10, 10, 10, 1, 6, 6, 6, 6, 6, 6, 2, 2, 10, 10, 10, 2, 6, 2, 10, 6, 10, 1, 6, 2, 1, 1, 10, 2, 2, 10, 2, 1, 1, 6, 6, 2, 1, 2, 6, 6, 6, 2, 2, 10, 2, 6, 1, 50, 10, 2, 1, 10, 1, 2, 6, 2, 10, 6, 6, 2, 10, 6, 2, 6, 6, 10, 10, 6, 6, 10, 2, 2, 2, 6, 2, 6, 10, 6, 1, 2, 1, 2, 6, 10, 10, 9, 10, 6, 6, 10, 2, 2, 6, 2, 1, 1, 2, 6, 6, 6, 1, 6, 2, 1, 10, 10, 10, 1, 6, 1, 1, 1, 6, 6, 1, 6, 10, 4, 1, 2, 2, 10, 1, 10, 1, 2, 10, 1, 10, 2, 6, 2, 10, 1, 2, 1, 2, 2, 1, 1, 6, 10, 10, 1, 2, 10, 10, 10, 6, 1, 1, 10, 6, 10, 6, 10, 1, 10, 2, 10, 1, 6, 5, 6, 10, 10, 6, 10, 10, 4, 6, 2, 6, 1, 6, 6, 6, 10, 10, 6, 2, 1, 10, 6, 6, 2, 6, 10, 6, 6, 6, 2, 6, 6, 10, 1, 2, 1, 1, 2, 1, 2, 1, 2, 10, 6, 2, 2, 7, 6, 6, 1, 2, 2, 1, 6, 2, 10, 1, 6, 10, 10, 1, 2, 10, 1, 2, 6, 2, 6, 6, 10, 10, 6, 6, 6, 4, 6, 6, 10, 2, 1, 6, 1, 2, 6, 6, 6, 10, 2, 10, 2, 10, 1, 10, 6, 2, 1, 2, 1, 6, 2, 2, 1, 10, 0, 10, 1, 1, 6, 10, 10, 6, 6, 6, 10, 6, 6, 6, 2, 1, 6, 1, 10, 1, 9, 6, 2, 6, 1, 2, 10, 10, 6, 10, 2, 6, 2, 2, 1, 10, 10, 10, 10, 10, 10, 6, 6, 6, 6, 10, 4, 1, 10, 6, 10, 2, 6, 10, 6, 6, 2, 6, 10, 6, 6, 1, 10, 1, 6, 1, 6, 10, 6, 2, 2, 0, 2, 2, 10, 1, 10, 2, 10, 1, 1, 10, 6, 6, 1, 10, 10, 2, 2, 1, 2, 6, 2, 6, 1, 2, 1, 6, 10, 7, 0, 1, 1, 6, 10, 10, 6, 10, 2, 10, 1, 6, 2, 2, 10, 6, 6, 2, 2, 6, 1, 6, 1, 4, 6, 1, 6, 2, 1, 10, 10, 2, 10, 1, 6, 6, 2, 6, 1, 10, 6, 2, 10, 6, 2, 5, 2, 2, 2, 6, 10, 6, 2, 1, 10, 1, 2, 1, 1, 6, 2, 1, 6, 2, 2, 2, 6, 6, 6, 4, 9, 2, 1, 1, 2, 6, 1, 10, 2, 10, 2, 1, 6, 2, 10, 2, 10, 1, 1, 1, 10, 2, 1, 1, 1, 1, 1, 10, 2, 6, 10, 6, 10, 1, 10, 10, 6, 2, 10, 10, 6, 6, 10, 1, 10, 2, 1, 1, 10, 10, 10, 1, 1, 2, 6, 10, 6, 1, 2, 10, 1, 2, 6, 10, 2, 10, 6, 6, 2, 10, 10, 6, 1, 1, 6, 10, 10, 10, 2, 10, 1, 2, 10, 6, 1, 2, 6, 1, 2, 1, 10, 10, 10, 6, 10, 1, 6, 1, 1, 1, 2, 2, 2, 10, 6, 10, 6, 1, 6, 1, 1, 2, 1, 1, 10, 2, 1, 1, 10, 6, 6, 6, 10, 6, 6, 2, 2, 1, 2, 10, 2, 10, 9, 2, 6, 2, 1, 2, 2, 6, 10, 10, 1, 1, 2, 10, 10, 1, 10, 2, 6, 10, 2, 2, 6, 1, 6, 10, 2, 2, 1, 1, 6, 6, 1, 1, 6, 8, 2, 2, 1, 2, 1, 10, 10, 1, 0, 2, 10, 1, 2, 1, 6, 6, 1, 2, 6, 2, 6, 10, 1, 6, 6, 10, 10, 1, 2, 10, 2, 6, 10, 6, 2, 6, 2, 2, 10, 10, 10, 2, 1, 10, 1, 10, 6, 0, 10, 6, 10, 6, 6, 10, 1, 2, 2, 2, 10, 2, 6, 6, 2, 10, 2, 6, 6, 10, 2, 2, 6, 6, 1, 6, 10, 1, 1, 6, 10, 6, 6, 10, 10, 2, 1, 2, 10, 10, 1, 2, 6, 2, 6, 10, 6, 6, 6, 2, 2, 2, 10, 2, 2, 1, 6, 6, 10, 4, 6, 1, 1, 1, 10, 2, 1, 10, 2, 6, 10, 10, 2, 1, 10, 6, 10, 10, 2, 10, 2, 2, 6, 10, 6, 6, 10, 1, 10, 10, 10, 1, 10, 10, 10, 2, 1, 6, 1, 1, 10, 2, 6, 2, 6, 1, 10, 1, 0, 1, 6, 6, 2, 2, 1, 6, 1, 1, 6, 2, 6, 6, 6, 2, 1, 10, 10, 2, 10, 1, 6, 10, 1, 1, 6, 10, 10, 6, 2, 1, 6, 10, 1, 6, 1, 2, 1, 10, 10, 4, 2, 1, 1, 10, 10, 1, 1, 10, 2, 1, 2, 6, 1, 6, 1, 6, 1, 10, 2, 2, 1, 2, 6, 2, 6, 10, 2, 2, 10, 10, 1, 2, 6, 2, 1, 6, 2, 10, 6, 1, 10, 6, 10, 6, 2, 6, 10, 2, 6, 2, 10, 2, 1, 10, 10, 1, 10, 10, 10, 10, 1, 9, 10, 1, 10, 1, 10, 6, 6, 2, 2, 2, 4, 1, 1, 2, 1, 2, 1, 10, 6, 1, 10, 2, 10, 1, 2, 6, 1, 1, 10, 2, 2, 6, 1, 1, 2, 10, 10, 10, 1, 1, 2, 2, 6, 10, 2, 10, 6, 1, 2, 10, 6, 1, 10, 6, 2, 6, 2, 2, 10, 10, 6, 1, 2, 1, 10, 10, 10, 10, 10, 10, 10, 1, 2, 6, 10, 1, 6, 10, 1, 10, 1, 1, 10, 2, 2, 6, 6, 1, 10, 10, 10, 10, 10, 10, 0, 2, 2, 6, 0, 1, 6, 2, 6, 6, 1, 2, 10, 6, 6, 6, 0, 6, 2, 10, 10, 2, 10, 2, 6, 2, 2, 10, 6, 10, 10, 10, 6, 6, 6, 1, 6, 6, 10, 6, 6, 2, 2, 10, 10, 6, 2, 10, 6, 2, 6, 6, 2, 10, 6, 10, 10, 10, 1, 10, 1, 6, 1, 6, 2, 6, 6, 10, 2, 2, 2, 2, 2, 2, 10, 10, 10, 2, 10, 10, 6, 2, 6, 10, 6, 6, 2, 2, 1, 2, 0, 2, 6, 6, 2, 2, 1, 1, 2, 10, 2, 1, 1, 10, 10, 10, 10, 6, 10, 2, 2, 6, 6, 2, 2, 2, 2, 6, 1, 2, 1, 10, 2, 1, 10, 6, 1, 6, 2, 6, 10, 10, 1, 1, 1, 1, 4, 2, 1, 10, 2, 10, 10, 2, 1, 10, 2, 2, 10, 10, 1, 2, 10, 10, 1, 6, 6, 10, 4, 1, 6, 1, 2, 10, 10, 3, 10, 6, 10, 2, 2, 10, 2, 10, 6, 2, 1, 10, 6, 6, 1, 2, 10, 6, 6, 10, 6, 2, 2, 10, 6, 2, 10, 1, 6, 6, 10, 2, 2, 1, 1, 6, 10, 6, 10, 1, 6, 6, 2, 1, 1, 6, 10, 10, 6, 10, 2, 2, 10, 1, 1, 1, 2, 10, 6, 6, 1, 6, 2, 2, 10, 4, 1, 2, 1, 2, 10, 2, 1, 1, 6, 1, 10, 2, 6, 10, 2, 6, 10, 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6, 10, 1, 6, 6, 9, 6, 10, 2, 2, 2, 1, 1, 2, 6, 1, 2, 1, 10, 6, 6, 6, 6, 1, 6, 6, 10, 2, 10, 6, 2, 4, 6, 1, 2, 10, 10, 6, 1, 2, 10, 5, 6, 1, 2, 2, 6, 1, 10, 1, 1, 1, 2, 1, 10, 6, 1, 6, 6, 2, 2, 1, 1, 1, 2, 6, 2, 10, 9, 1, 1, 2, 10, 1, 10, 10, 6, 10, 1, 10, 6, 1, 1, 6, 10, 6, 6, 1, 6, 10, 1, 1, 6, 1, 1, 2, 6, 1, 2, 6, 4, 2, 1, 10, 6, 2, 1, 2, 5, 1, 6, 10, 0, 2, 2, 10, 6, 1, 5, 2, 6, 10, 1, 10, 6, 6, 1, 6, 6, 6, 1, 6, 2, 6, 2, 6, 1, 2, 10, 10, 0, 6, 10, 10, 10, 4, 2, 2, 6, 10, 10, 10, 10, 2, 10, 10, 0, 6, 1, 6, 6, 2, 1, 10, 6, 1, 10, 10, 2, 1, 6, 10, 2, 1, 1, 2, 10, 2, 2, 1, 6, 1, 6, 1, 1, 2, 6, 1, 2, 10, 1, 6, 6, 10, 1, 1, 10, 1, 2, 6, 1, 3, 9, 2, 6, 1, 6, 2, 10, 6, 6, 1, 2, 10, 2, 2, 2, 1, 10, 2, 2, 1, 6, 1, 0, 2, 2, 2, 2, 10, 6, 10, 6, 2, 6, 2, 10, 6, 2, 2, 1, 10, 6, 6, 2, 6, 6, 1, 6, 10, 2, 6, 10, 10, 6, 2, 6, 6, 1, 6, 1, 6, 0, 2, 1, 1, 2, 6, 6, 2, 10, 6, 1, 2, 6, 50, 10, 6, 6, 2, 10, 6, 1, 2, 10, 10, 6, 6, 6, 2, 6, 6, 2, 1, 1, 6, 10, 10, 4, 1, 10, 6, 10, 10, 6, 10, 6, 2, 2, 6, 6, 1, 2, 6, 10, 10, 2, 10, 1, 1, 10, 1, 6, 1, 6, 6, 6, 2, 10, 2, 10, 6, 1, 10, 6, 2, 1, 6, 2, 10, 2, 0, 10, 1, 10, 2, 6, 6, 1, 2, 10, 6, 2, 1, 6, 1, 10, 1, 6, 2, 6, 10, 2, 6, 2, 10, 6, 2, 10, 6, 2, 6, 2, 2, 6, 1, 10, 2, 10, 1, 1, 2, 6, 1, 6, 10, 1, 10, 6, 6, 10, 2, 1, 0, 2, 2, 10, 2, 10, 6, 1, 6, 6, 6, 2, 6, 2, 1, 1, 1, 6, 1, 1, 10, 6, 6, 10, 1, 10, 1, 6, 10, 2, 2, 1, 5, 6, 10, 10, 2, 10, 6, 10, 10, 1, 5, 6, 1, 6, 2, 2, 6, 2, 2, 4, 6, 2, 2, 10, 6, 6, 1, 6, 6, 1, 10, 2, 1, 2, 1, 10, 10, 10, 2, 6, 1, 1, 1, 2, 10, 1, 2, 2, 1, 2, 1, 2, 9, 6, 0, 6, 10, 2, 10, 2, 10, 1, 1, 10, 6, 1, 1, 1, 2, 6, 2, 6, 1, 10, 6, 6, 1, 1, 10, 2, 1, 6, 6, 6, 2, 10, 2, 1, 2, 6, 6, 6, 10, 6, 2, 2, 1, 2, 6, 10, 1, 10, 10, 6, 6, 2, 6, 6, 6, 2, 2, 6, 2, 6, 2, 6, 6, 1, 2, 5, 6, 0, 1, 10, 2, 10, 1, 6, 1, 9, 6, 1, 10, 10, 1, 4, 6, 10, 9, 2, 2, 2, 2, 2, 2, 6, 1, 2, 6, 10, 1, 2, 2, 0, 10, 2, 6, 2, 6, 2, 2, 10, 2, 6, 10, 6, 6, 2, 6, 6, 1, 1, 6, 1, 10, 2, 6, 2, 10, 10, 10, 10, 1, 6, 2, 2, 6, 2, 6, 2, 10, 10, 1, 1, 10, 1, 1, 10, 1, 10, 1, 10, 1, 1, 2, 1, 2, 2, 1, 10, 9, 6, 6, 10, 1, 6, 1, 1, 2, 6, 5, 1, 10, 10, 2, 6, 2, 10, 6, 10, 2, 6, 6, 10, 10, 2, 6, 6, 6, 1, 10, 10, 1, 6, 10, 10, 6, 6, 6, 2, 2, 2, 6, 2, 1, 2, 1, 6, 2, 2, 2, 6, 10, 1, 6, 6, 2, 1, 2, 4, 6, 10, 10, 2, 10, 2, 10, 2, 6, 10, 2, 6, 2, 10, 2, 1, 6, 6, 10, 6, 2, 1, 1, 1, 2, 6, 6, 6, 1, 6, 2, 10, 1, 2, 6, 10, 10, 1, 2, 2, 1, 1, 10, 1, 2, 2, 1, 10, 9, 2, 10, 10, 2, 2, 10, 6, 10, 10, 10, 2, 2, 10, 2, 10, 10, 2, 1, 10, 2, 1, 6, 1, 1, 2, 10, 2, 2, 2, 6, 6, 1, 1, 4, 2, 9, 10, 2, 1, 2, 10, 10, 10, 1, 10, 2, 1, 2, 6, 6, 10, 1, 5, 6, 1, 6, 1, 6, 2, 1, 1, 10, 2, 10, 2, 2, 6, 1, 2, 2, 1, 10, 1, 6, 10, 6, 1, 10, 2, 1, 6, 2, 10, 2, 1, 6, 1, 10, 10, 6, 6, 6, 10, 1, 10, 6, 10, 2, 1, 10, 2, 6, 10, 10, 1, 2, 6, 10, 2, 10, 1, 2, 1, 1, 2, 10, 1, 2, 2, 6, 2, 6, 6, 2, 1, 6, 6, 2, 1, 1, 1, 6, 1, 0, 10, 6, 10, 10, 1, 1, 2, 10, 10, 1, 10, 2, 6, 6, 10, 6, 10, 1, 10, 6, 1, 1, 6, 1, 6, 10, 10, 10, 2, 10, 6, 6, 10, 10, 10, 10, 10, 6, 6, 2, 6, 1, 1, 1, 6, 2, 10, 6, 1, 2, 2, 9, 1, 1, 1, 6, 6, 6, 1, 2, 1, 10, 6, 6, 6, 6, 2, 1, 10, 6, 2, 2, 2, 1, 0, 1, 2, 1, 10, 10, 6, 1, 1, 2, 6, 10, 1, 10, 6, 10, 10, 6, 2, 2, 1, 6, 6, 2, 10, 1, 2, 2, 2, 10, 1, 10, 10, 10, 10, 10, 10, 1, 1, 2, 10, 1, 1, 6, 2, 1, 2, 2, 6, 9, 10, 1, 2, 2, 2, 1, 10, 6, 1, 6, 1, 2, 2, 10, 2, 10, 10, 1, 2, 1, 1, 2, 6, 10, 1, 10, 2, 1, 1, 4, 6, 2, 2, 10, 6, 6, 6, 1, 10, 10, 2, 1, 1, 6, 6, 10, 1, 6, 6, 2, 1, 6, 10, 6, 10, 1, 1, 10, 10, 10, 1, 1, 10, 2, 6, 1, 10, 1, 6, 1, 1, 6, 1, 6, 6, 6, 2, 4, 10, 1, 10, 2, 10, 6, 10, 6, 10, 6, 6, 2, 1, 1, 6, 6, 2, 10, 0, 2, 1, 9, 1, 10, 6, 6, 10, 1, 2, 10, 6, 2, 6, 1, 1, 2, 2, 1, 6, 2, 10, 6, 1, 6, 2, 2, 6, 10, 10, 2, 2, 6, 2, 10, 10, 1, 6, 1, 2, 6, 10, 10, 10, 6, 2, 2, 1, 10, 10, 1, 6, 10, 4, 6, 2, 1, 2, 1, 10, 1, 2, 1, 10, 6, 6, 10, 2, 1, 1, 2, 10, 6, 6, 10, 1, 1, 1, 6, 10, 10, 10, 2, 10, 6, 2, 10, 6, 10, 6, 10, 2, 10, 6, 1, 10, 10, 1, 10, 10, 2, 1, 2, 6, 2, 2, 2, 1, 10, 1, 6, 2, 2, 10, 10, 0, 2, 1, 10, 1, 0, 10, 10, 10, 10, 1, 2, 6, 6, 10, 6, 1, 2, 1, 1, 2, 10, 1, 1, 10, 10, 6, 6, 0, 1, 10, 1, 1, 2, 6, 6, 10, 1, 1, 6, 6, 1, 6, 10, 2, 10, 6, 2, 0, 2, 1, 10, 2, 2, 2, 2, 2, 6, 9, 1, 6, 10, 10, 10, 1, 2, 6, 2, 10, 1, 1, 6, 6, 1, 2, 10, 2, 6, 10, 1, 2, 1, 1, 6, 6, 6, 1, 5, 6, 2, 6, 1, 2, 6, 10, 2, 10, 6, 10, 10, 2, 9, 2, 2, 1, 6, 10, 6, 6, 10, 10, 6, 1, 10, 1, 2, 6, 1, 6, 6, 6, 2, 2, 0, 4, 2, 10, 2, 2, 2, 2, 10, 2, 1, 1, 1, 0, 1, 1, 2, 10, 1, 2, 2, 6, 10, 1, 1, 2, 2, 2, 4, 6, 6, 9, 10, 2, 1, 1, 1, 10, 6, 2, 10, 1, 6, 10, 10, 2, 1, 2, 10, 10, 10, 6, 6, 2, 2, 1, 2, 2, 6, 2, 1, 1, 6, 10, 1, 10, 6, 1, 10, 6, 10, 10, 6, 1, 9, 2, 1, 6, 2, 2, 1, 5, 2, 1, 6, 6, 2, 6, 6, 1, 1, 2, 6, 6, 6, 1, 10, 2, 10, 1, 6, 2, 6, 10, 6, 2, 1, 6, 6, 0, 2, 10, 6, 2, 6, 2, 2, 10, 6, 6, 2, 10, 2, 1, 1, 10, 2, 10, 1, 2, 6, 10, 10, 2, 2, 2, 6, 6, 1, 2, 1, 1, 2, 10, 2, 6, 10, 1, 10, 6, 1, 2, 10, 6, 1, 6, 6, 1, 2, 1, 6, 10, 10, 1, 2, 2, 6, 2, 2, 1, 1, 1, 2, 6, 6, 10, 2, 10, 10, 10, 1, 2, 6, 2, 2, 10, 10, 6, 2, 10, 1, 10, 6, 2, 1, 6, 6, 6, 2, 2, 1, 2, 1, 10, 10, 2, 1, 10, 6, 10, 10, 1, 10, 6, 6, 10, 1, 1, 2, 1, 6, 10, 1, 5, 2, 1, 10, 2, 1, 1, 2, 2, 1, 6, 1, 6, 6, 2, 1, 6, 2, 1, 10, 10, 1, 6, 10, 2, 10, 1, 1, 0, 6, 1, 1, 6, 1, 6, 6, 2, 9, 2, 6, 6, 2, 2, 2, 6, 6, 10, 2, 1, 2, 6, 1, 10, 2, 1, 10, 2, 1, 6, 6, 5, 1, 1, 2, 2, 2, 1, 1, 2, 6, 6, 1, 6, 6, 2, 1, 2, 1, 10, 10, 10, 10, 6, 6, 6, 2, 10, 1, 6, 2, 2, 6, 6, 6, 2, 10, 2, 10, 6, 1, 1, 6, 2, 6, 2, 10, 9, 1, 6, 10, 1, 10, 10, 6, 2, 6, 10, 2, 1, 2, 10, 2, 6, 6, 2, 10, 10, 1, 2, 10, 6, 6, 6, 10, 1, 2, 6, 2, 9, 2, 4, 2, 2, 1, 1, 1, 2, 2, 1, 2, 10, 6, 2, 2, 10, 1, 1, 2, 10, 4, 1, 1, 10, 10, 6, 1, 2, 6, 10, 2, 6, 2, 1, 10, 1, 4, 2, 6, 1, 6, 2, 10, 2, 10, 1, 6, 6, 10, 1, 10, 2, 6, 6, 10, 2, 2, 1, 6, 2, 2, 2, 1, 10, 10, 1, 6, 10, 2, 6, 10, 1, 6, 6, 6, 6, 6, 9, 1, 1, 6, 1, 10, 2, 4, 1, 10, 1, 10, 10, 6, 1, 6, 1, 6, 1, 2, 10, 10, 10, 10, 2, 2, 2, 10, 6, 10, 2, 2, 2, 7, 1, 2, 2, 6, 2, 1, 6, 10, 6, 1, 6, 2, 10, 10, 6, 1, 2, 2, 10, 1, 6, 6, 10, 1, 10, 10, 10, 1, 10, 6, 6, 6, 10, 10, 10, 10, 6, 2, 9, 1, 1, 2, 6, 1, 2, 1, 0, 10, 6, 2, 5, 1, 10, 2, 1, 10, 6, 10, 5, 1, 6, 10, 2, 6, 10, 1, 6, 6, 1, 10, 10, 10, 6, 1, 10, 6, 2, 10, 10, 6, 6, 2, 2, 10, 6, 2, 2, 10, 2, 2, 1, 2, 6, 10, 1, 2, 2, 6, 6, 1, 2, 10, 2, 2, 2, 10, 2, 1, 2, 10, 6, 6, 3, 6, 6, 2, 2, 10, 2, 6, 6, 10, 6, 2, 6, 10, 6, 2, 10, 10, 6, 2, 10, 6, 1, 6, 6, 10, 6, 4, 6, 2, 10, 1, 1, 6, 1, 1, 2, 10, 1, 2, 0, 6, 10, 1, 6, 1, 2, 2, 2, 1, 10, 1, 6, 1, 10, 2, 6, 6, 6, 2, 10, 1, 1, 2, 10, 2, 2, 10, 1, 2, 10, 6, 2, 10, 6, 2, 2, 2, 9, 2, 6, 2, 2, 6, 6, 10, 6, 2, 10, 1, 10, 6, 2, 1, 10, 1, 6, 10, 1, 2, 10, 6, 2, 10, 10, 2, 2, 10, 10, 1, 2, 2, 2, 1, 1, 4, 1, 10, 10, 10, 10, 2, 2, 10, 2, 10, 2, 2, 6, 2, 6, 2, 6, 2, 2, 2, 10, 1, 2, 1, 2, 2, 6, 10, 10, 2, 6, 1, 6, 2, 2, 1, 10, 2, 10, 1, 1, 6, 6, 9, 2, 10, 10, 2, 1, 6, 2, 10, 10, 10, 10, 2, 10, 1, 6, 10, 2, 0, 10, 6, 6, 6, 6, 1, 2, 10, 10, 1, 10, 6, 1, 2, 6, 2, 1, 6, 1, 1, 10, 1, 6, 2, 6, 1, 1, 6, 10, 1, 1, 10, 1, 6, 2, 6, 9, 6, 6, 10, 6, 6, 2, 1, 1, 1, 10, 2, 10, 10, 10, 2, 2, 10, 10, 2, 6, 1, 4, 1, 10, 10, 4, 1, 6, 5, 2, 10, 6, 6, 1, 1, 10, 10, 2, 10, 10, 1, 2, 6, 1, 1, 10, 10, 6, 6, 1, 10, 2, 1, 2, 1, 10, 1, 6, 10, 10, 2, 10, 10, 1, 10, 10, 10, 1, 6, 1, 10, 6, 1, 2, 6, 2, 10, 6, 6, 5, 6, 2, 10, 2, 2, 1, 10, 1, 10, 10, 2, 6, 6, 1, 2, 2, 10, 1, 10, 1, 10, 1, 2, 1, 6, 2, 2, 6, 10, 1, 1, 1, 2, 1, 2, 10, 2, 10, 2, 9, 1, 10, 6, 10, 2, 5, 6, 1, 10, 1, 10, 10, 10, 2, 1, 10, 1, 10, 1, 1, 2, 6, 6, 6, 6, 2, 10, 1, 2, 1, 1, 6, 6, 6, 1, 2, 1, 1, 2, 2, 2, 2, 6, 1, 2, 10, 2, 10, 10, 10, 6, 10, 1, 2, 6, 10, 2, 2, 1, 1, 2, 10, 2, 1, 2, 1, 6, 1, 10, 9, 1, 6, 6, 1, 6, 2, 2, 4, 1, 2, 10, 6, 10, 2, 2, 2, 1, 6, 6, 2, 9, 2, 10, 2, 10, 6, 2, 1, 2, 6, 6, 6, 10, 10, 10, 2, 2, 1, 2, 6, 1, 2, 6, 10, 2, 2, 1, 10, 6, 0, 1, 0, 6, 2, 6, 10, 1, 2, 10, 2, 2, 6, 10, 10, 1, 1, 6, 10, 6, 2, 2, 6, 2, 6, 2, 6, 5, 1, 9, 10, 6, 1, 2, 2, 1, 6, 10, 1, 6, 6, 10, 6, 6, 6, 6, 10, 6, 10, 6, 10, 6, 2, 6, 6, 6, 6, 10, 10, 6, 4, 10, 1, 1, 1, 10, 1, 2, 6, 6, 10, 10, 1, 10, 1, 2, 2, 2, 2, 6, 2, 6, 10, 2, 1, 6, 1, 2, 1, 1, 10, 2, 10, 2, 10, 10, 10, 1, 5, 10, 2, 10, 10, 2, 6, 2, 1, 6, 2, 1, 10, 2, 5, 2, 2, 1, 10, 10, 2, 10, 10, 2, 2, 2, 10, 5, 6, 6, 10, 2, 2, 2, 2, 6, 1, 10, 1, 6, 2, 40, 2, 10, 2, 2, 1, 2, 2, 6, 2, 10, 2, 4, 10, 1, 2, 2, 6, 1, 2, 10, 6, 1, 10, 4, 1, 6, 6, 10, 1, 2, 10, 6, 0, 2, 6, 10, 2, 6, 1, 2, 2, 1, 10, 10, 1, 6, 1, 10, 1, 6, 6, 1, 10, 10, 6, 6, 6, 2, 10, 10, 10, 6, 1, 2, 6, 10, 6, 10, 1, 2, 10, 1, 10, 1, 2, 2, 2, 6, 6, 6, 2, 10, 6, 6, 6, 6, 2, 2, 10, 2, 10, 1, 2, 1, 1, 1, 1, 6, 6, 1, 1, 10, 10, 4, 1, 10, 6, 6, 6, 6, 1, 10, 6, 2, 1, 2, 1, 2, 2, 10, 1, 2, 9, 6, 2, 1, 2, 6, 2, 1, 6, 2, 2, 10, 10, 2, 6, 2, 2, 2, 10, 2, 4, 10, 2, 6, 1, 1, 2, 2, 1, 10, 1, 1, 10, 6, 2, 6, 6, 10, 6, 2, 2, 1, 1, 6, 1, 6, 1, 6, 6, 6, 1, 10, 10, 1, 10, 40, 10, 6, 6, 6, 2, 10, 1, 10, 10, 1, 1, 1, 2, 6, 1, 10, 2, 6, 6, 2, 1, 6, 10, 10, 1, 1, 10, 1, 10, 6, 10, 10, 6, 1, 1, 1, 10, 6, 5, 6, 6, 10, 6, 1, 2, 10, 2, 1, 1, 1, 6, 2, 0, 6, 1, 2, 1, 1, 6, 10, 2, 6, 10, 1, 10, 10, 1, 6, 1, 10, 6, 1, 2, 2, 2, 2, 6, 2, 2, 6, 1, 10, 1, 2, 10, 1, 1, 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2, 6, 6, 6, 1, 2, 1, 2, 6, 10, 2, 1, 1, 6, 2, 10, 1, 10, 10, 1, 2, 1, 1, 2, 2, 6, 1, 9, 4, 1, 2, 10, 2, 10, 1, 10, 10, 5, 2, 6, 10, 6, 2, 6, 2, 6, 10, 2, 2, 10, 2, 1, 10, 9, 6, 1, 10, 10, 6, 6, 6, 2, 1, 10, 2, 10, 2, 10, 9, 10, 2, 1, 2, 6, 6, 6, 1, 10, 2, 1, 2, 10, 6, 10, 1, 10, 6, 6, 1, 1, 6, 1, 10, 1, 10, 1, 6, 9, 1, 1, 2, 6, 10, 6, 1, 10, 1, 6, 1, 1, 6, 6, 2, 2, 6, 10, 2, 10, 1, 0, 6, 10, 6, 6, 2, 10, 2, 2, 10, 6, 1, 6, 6, 6, 1, 1, 1, 1, 2, 10, 1, 2, 10, 10, 2, 10, 5, 2, 6, 1, 2, 2, 1, 1, 1, 4, 10, 10, 10, 10, 1, 1, 5, 2, 2, 2, 6, 1, 2, 1, 6, 10, 2, 6, 6, 1, 2, 9, 1, 1, 1, 1, 2, 1, 6, 10, 2, 6, 0, 6, 2, 10, 6, 10, 2, 10, 6, 2, 2, 1, 1, 6, 6, 2, 10, 1, 1, 10, 2, 10, 10, 0, 1, 1, 1, 10, 2, 6, 2, 2, 2, 2, 6, 1, 1, 2, 10, 5, 1, 2, 6, 10, 6, 6, 6, 6, 6, 1, 6, 2, 6, 1, 10, 2, 10, 10, 10, 2, 6, 6, 6, 10, 2, 1, 6, 1, 10, 10, 1, 10, 1, 2, 5, 6, 6, 6, 2, 10, 2, 6, 2, 10, 10, 6, 4, 2, 2, 2, 1, 6, 1, 10, 1, 1, 6, 1, 1, 10, 10, 2, 2, 1, 10, 10, 4, 1, 2, 5, 10, 1, 6, 10, 6, 10, 6, 1, 10, 1, 6, 1, 10, 2, 1, 2, 6, 2, 1, 10, 2, 10, 10, 2, 2, 6, 2, 10, 6, 10, 10, 2, 4, 6, 6, 6, 2, 2, 1, 10, 1, 2, 0, 1, 6, 1, 5, 6, 1, 2, 1, 6, 2, 6, 2, 6, 1, 2, 1, 10, 6, 6, 10, 1, 1, 2, 1, 6, 10, 10, 10, 1, 1, 1, 6, 1, 6, 1, 2, 8, 1, 2, 10, 10, 10, 10, 2, 6, 10, 1, 6, 10, 1, 2, 2, 6, 2, 1, 1, 6, 10, 6, 2, 2, 6, 10, 10, 10, 4, 1, 10, 2, 6, 6, 2, 6, 6, 2, 2, 6, 6, 1, 10, 1, 2, 2, 6, 1, 2, 6, 10, 2, 6, 1, 6, 2, 1, 10, 10, 10, 10, 1, 10, 10, 1, 2, 1, 6, 10, 2, 2, 1, 1, 1, 1, 2, 2, 6, 6, 4, 2, 10, 6, 1, 1, 6, 2, 2, 10, 2, 10, 2, 6, 2, 10, 6, 2, 1, 2, 2, 2, 2, 6, 1, 10, 1, 6, 6, 1, 1, 1, 10, 6, 1, 2, 10, 1, 2, 2, 6, 1, 1, 6, 1, 10, 10, 10, 10, 1, 2, 1, 10, 2, 6, 1, 6, 6, 10, 2, 10, 2, 6, 2, 5, 2, 1, 2, 10, 2, 6, 1, 2, 10, 6, 10, 1, 2, 6, 2, 6, 2, 2, 6, 1, 10, 1, 1, 10, 6, 1, 2, 6, 10, 2, 10, 10, 2, 2, 2, 1, 10, 6, 6, 6, 2, 10, 5, 6, 6, 1, 10, 10, 6, 2, 10, 6, 10, 6, 6, 1, 1, 2, 6, 6, 10, 2, 2, 10, 2, 1, 2, 2, 10, 1, 10, 9, 10, 10, 6, 4, 2, 6, 10, 2, 1, 2, 9, 6, 1, 2, 1, 1, 2, 10, 10, 10, 2, 2, 1, 10, 1, 4, 10, 10, 2, 10, 1, 2, 2, 1, 6, 6, 1, 1, 6, 6, 6, 6, 2, 2, 6, 10, 2, 6, 1, 2, 6, 9, 10, 2, 1, 6, 10, 2, 6, 2, 1, 2, 6, 1, 2, 6, 10, 10, 10, 10, 2, 10, 2, 10, 6, 6, 6, 10, 6, 1, 6, 10, 10, 6, 10, 4, 1, 2, 1, 1, 2, 2, 1, 10, 5, 6, 1, 6, 6, 6, 2, 1, 6, 6, 6, 1, 10, 10, 2, 2, 1, 10, 2, 1, 6, 1, 2, 1, 1, 1, 2, 9, 2, 6, 6, 2, 6, 6, 10, 2, 2, 6, 6, 6, 6, 1, 10, 10, 2, 10, 10, 2, 9, 2, 2, 1, 10, 1, 10, 10, 6, 6, 6, 2, 10, 2, 6, 1, 2, 2, 6, 10, 2, 10, 1, 6, 2, 2, 1, 1, 2, 9, 2, 10, 0, 2, 10, 2, 6, 2, 10, 10, 2, 1, 2, 2, 2, 2, 1, 1, 1, 10, 1, 1, 10, 1, 10, 1, 10, 2, 2, 1, 6, 1, 10, 2, 1, 2, 1, 10, 1, 6, 10, 10, 10, 1, 1, 6, 6, 2, 1, 6, 10, 2, 1, 2, 2, 1, 2, 6, 1, 2, 6, 1, 2, 10, 0, 10, 10, 6, 60, 10, 1, 10, 1, 1, 6, 1, 2, 2, 1, 10, 10, 6, 6, 2, 10, 2, 6, 10, 10, 2, 6, 10, 1, 2, 2, 1, 2, 6, 1, 1, 2, 6, 10, 10, 1, 9, 10, 2, 10, 2, 6, 10, 10, 10, 2, 10, 2, 1, 6, 2, 6, 2, 1, 2, 10, 6, 10, 10, 6, 10, 6, 2, 6, 10, 1, 2, 10, 1, 2, 6, 6, 10, 6, 1, 2, 10, 2, 2, 6, 1, 10, 10, 1, 1, 1, 10, 10, 2, 2, 10, 10, 10, 1, 6, 6, 10, 1, 5, 1, 6, 1, 1, 1, 6, 1, 10, 2, 1, 6, 10, 2, 1, 10, 2, 6, 1, 10, 6, 2, 5, 10, 6, 2, 2, 6, 6, 6, 10, 2, 10, 2, 2, 9, 2, 10, 1, 10, 2, 2, 1, 10, 10, 2, 2, 1, 6, 1, 2, 10, 1, 1, 4, 6, 6, 10, 2, 1, 6, 10, 2, 1, 10, 2, 6, 6, 10, 6, 6, 2, 6, 1, 2, 2, 2, 6, 1, 1, 6, 10, 2, 2, 2, 6, 2, 6, 1, 2, 2, 6, 60, 6, 5, 2, 1, 6, 1, 2, 9, 1, 1, 10, 10, 6, 10, 2, 10, 6, 2, 6, 1, 2, 6, 1, 2, 10, 6, 2, 1, 6, 1, 6, 6, 6, 1, 6, 1, 10, 6, 6, 6, 1, 10, 2, 2, 2, 10, 2, 2, 6, 10, 1, 6, 10, 1, 5, 6, 10, 1, 6, 2, 6, 6, 10, 1, 10, 6, 2, 10, 1, 9, 2, 2, 1, 1, 6, 2, 6, 10, 2, 1, 10, 2, 1, 6, 6, 6, 2, 10, 2, 6, 6, 1, 6, 10, 1, 1, 1, 1, 0, 10, 2, 10, 1, 10, 6, 1, 6, 6, 10, 6, 2, 2, 2, 2, 10, 1, 2, 2, 0, 10, 1, 2, 10, 6, 1, 1, 2, 1, 6, 5, 1, 6, 10, 10, 10, 10, 10, 10, 10, 1, 2, 2, 10, 6, 1, 6, 6, 6, 6, 1, 10, 6, 1, 10, 6, 6, 10, 2, 2, 2, 2, 10, 2, 1, 10, 10, 2, 6, 1, 6, 2, 6, 10, 1, 6, 1, 1, 1, 6, 2, 10, 4, 10, 6, 10, 2, 10, 6, 10, 2, 1, 1, 10, 6, 10, 10, 6, 10, 1, 1, 2, 6, 6, 2, 10, 6, 2, 2, 2, 10, 6, 10, 10, 1, 1, 1, 10, 4, 10, 5, 1, 40, 10, 10, 2, 10, 2, 1, 2, 6, 10, 6, 2, 1, 1, 10, 2, 6, 2, 6, 10, 10, 2, 6, 1, 10, 6, 2, 6, 2, 2, 10, 6, 2, 6, 10, 6, 10, 6, 1, 6, 2, 1, 1, 6, 1, 2, 2, 2, 1, 2, 2, 1, 6, 2, 10, 1, 6, 5, 1, 1, 1, 2, 6, 6, 10, 2, 6, 10, 10, 0, 10, 6, 2, 2, 2, 5, 1, 1, 1, 10, 6, 10, 10, 2, 2, 1, 10, 2, 2, 10, 10, 6, 1, 10, 2, 1, 2, 10, 10, 2, 6, 10, 2, 6, 2, 2, 10, 6, 6, 1, 2, 2, 2, 10, 4, 10, 1, 1, 1, 6, 10, 1, 6, 10, 2, 6, 2, 6, 2, 2, 2, 10, 10, 2, 1, 1, 2, 10, 2, 10, 1, 2, 10, 6, 10, 10, 2, 1, 2, 2, 0, 2, 10, 2, 6, 10, 2, 1, 6, 1, 1, 1, 6, 6, 6, 2, 2, 6, 1, 2, 2, 2, 10, 10, 1, 1, 10, 6, 0, 6, 1, 1, 10, 1, 6, 10, 6, 6, 10, 10, 6, 6, 4, 1, 10, 2, 10, 6, 10, 6, 2, 5, 6, 2, 2, 10, 6, 10, 1, 6, 6, 1, 10, 6, 2, 2, 10, 2, 10, 2, 6, 6, 6, 1, 2, 6, 1, 1, 2, 2, 10, 1, 6, 2, 1, 6, 6, 1, 6, 10, 10, 2, 2, 6, 1, 10, 6, 2, 1, 1, 1, 2, 1, 1, 6, 6, 10, 6, 10, 6, 10, 6, 2, 2, 6, 1, 1, 10, 6, 10, 6, 6, 6, 6, 10, 6, 6, 1, 10, 10, 1, 10, 2, 10, 6, 1, 10, 10, 1, 2, 6, 6, 1, 1, 2, 1, 6, 6, 10, 6, 6, 10, 10, 10, 10, 6, 2, 2, 2, 10, 2, 0, 10, 6, 1, 10, 2, 10, 6, 1, 1, 2, 10, 10, 2, 1, 4, 1, 6, 10, 2, 1, 1, 1, 1, 6, 1, 2, 2, 6, 1, 1, 2, 2, 2, 10, 1, 10, 10, 10, 9, 10, 10, 6, 6, 10, 1, 1, 6, 10, 6, 1, 10, 1, 2, 2, 4, 10, 1, 6, 1, 1, 10, 10, 6, 6, 2, 1, 10, 1, 1, 1, 2, 6, 6, 1, 10, 6, 2, 1, 6, 1, 1, 2, 0, 6, 6, 1, 2, 1, 10, 2, 6, 1, 10, 1, 1, 2, 2, 2, 1, 6, 2, 10, 6, 1, 1, 6, 1, 1, 1, 2, 10, 6, 1, 10, 2, 6, 10, 10, 1, 10, 6, 6, 10, 2, 1, 10, 6, 2, 1, 1, 2, 10, 6, 2, 1, 1, 1, 1, 6, 6, 1, 1, 1, 6, 10, 6, 1, 6, 1, 10, 1, 2, 2, 2, 6, 1, 1, 6, 6, 1, 10, 1, 6, 6, 1, 1, 2, 1, 2, 1, 10, 10, 10, 2, 2, 10, 1, 10, 2, 10, 1, 6, 6, 6, 9, 6, 10, 1, 10, 10, 2, 1, 10, 2, 10, 2, 10, 2, 6, 1, 4, 6, 1, 1, 2, 2, 11, 2, 2, 2, 1, 10, 2, 1, 6, 6, 10, 1, 10, 2, 10, 10, 10, 10, 1, 10, 10, 10, 2, 2, 6, 2, 1, 1, 1, 10, 6, 10, 10, 10, 2, 2, 2, 1, 1, 6, 10, 2, 10, 2, 1, 4, 1, 1, 5, 1, 10, 2, 6, 10, 2, 1, 2, 10, 2, 10, 6, 10, 1, 10, 2, 1, 1, 10, 6, 1, 1, 2, 10, 10, 2, 10, 10, 1, 2, 2, 6, 2, 2, 1, 6, 6, 1, 1, 1, 6, 1, 6, 9, 2, 9, 5, 2, 1, 10, 10, 10, 6, 2, 1, 10, 10, 1, 1, 1, 2, 10, 10, 10, 6, 10, 10, 1, 2, 6, 6, 6, 6, 2, 6, 1, 2, 1, 2, 6, 2, 10, 2, 6, 2, 6, 2, 5, 1, 6, 6, 6, 10, 6, 2, 0, 10, 1, 6, 1, 1, 6, 2, 10, 1, 2, 1, 6, 9, 6, 1, 6, 10, 2, 2, 1, 6, 6, 10, 1, 6, 1, 6, 2, 10, 1, 6, 1, 2, 1, 10, 6, 10, 1, 6, 1, 10, 1, 6, 2, 2, 2, 10, 10, 2, 2, 1, 0, 6, 10, 2, 6, 6, 10, 1, 10, 6, 2, 6, 2, 1, 10, 10, 1, 6, 6, 6, 10, 6, 2, 6, 10, 2, 1, 10, 1, 2, 2, 2, 2, 6, 1, 10, 10, 2, 2, 1, 2, 1, 6, 2, 6, 2, 6, 6, 6, 1, 1, 10, 10, 1, 2, 6, 6, 1, 2, 6, 6, 2, 6, 6, 2, 10, 5, 6, 6, 1, 6, 10, 1, 2, 6, 2, 1, 10, 2, 1, 1, 1, 9, 2, 6, 2, 2, 6, 10, 6, 5, 6, 1, 6, 6, 6, 6, 1, 2, 6, 10, 10, 6, 6, 10, 1, 10, 10, 10, 10, 1, 1, 10, 1, 10, 2, 6, 1, 6, 10, 1, 1, 1, 1, 2, 2, 6, 5, 1, 2, 10, 1, 1, 6, 10, 10, 1, 6, 6, 1, 1, 1, 1, 10, 10, 1, 10, 10, 10, 10, 2, 2, 1, 1, 6, 6, 1, 6, 1, 6, 0, 6, 1, 2, 10, 1, 1, 1, 10, 1, 6, 2, 2, 2, 2, 1, 2, 0, 6, 6, 1, 10, 1, 6, 6, 1, 1, 5, 6, 6, 1, 6, 1, 10, 10, 1, 10, 10, 10, 1, 10, 10, 6, 10, 1, 6, 10, 2, 6, 2, 2, 2, 1, 2, 2, 6, 2, 2, 10, 2, 6, 6, 1, 2, 6, 6, 2, 10, 2, 1, 1, 6, 1, 1, 1, 2, 1, 10, 2, 1, 10, 2, 1, 1, 2, 2, 2, 0, 6, 6, 10, 6, 10, 10, 2, 6, 2, 5, 2, 2, 2, 10, 10, 1, 6, 6, 1, 6, 10, 6, 1, 1, 2, 10, 1, 2, 1, 1, 2, 5, 6, 10, 10, 10, 2, 2, 2, 1, 10, 10, 1, 10, 10, 6, 5, 4, 2, 1, 1, 2, 1, 1, 10, 0, 2, 1, 6, 1, 10, 10, 2, 10, 6, 1, 1, 10, 2, 6, 9, 1, 10, 6, 10, 1, 2, 6, 6, 6, 10, 2, 2, 6, 6, 2, 6, 10, 2, 10, 1, 4, 6, 10, 10, 6, 1, 6, 6, 1, 2, 1, 2, 2, 6, 1, 2, 2, 2, 6, 1, 10, 6, 6, 1, 2, 6, 1, 2, 1, 6, 2, 6, 6, 6, 1, 2, 10, 1, 6, 10, 2, 2, 10, 10, 1, 6, 2, 10, 10, 1, 1, 2, 1, 6, 1, 2, 1, 6, 2, 1, 2, 10, 1, 1, 1, 10, 2, 10, 6, 1, 10, 1, 1, 2, 10, 10, 2, 6, 10, 6, 6, 6, 1, 1, 1, 2, 1, 6, 6, 10, 6, 1, 6, 1, 1, 4, 2, 2, 6, 1, 10, 0, 2, 2, 10, 10, 1, 1, 10, 10, 1, 6, 10, 10, 10, 10, 10, 1, 1, 6, 2, 1, 10, 6, 1, 2, 6, 2, 10, 6, 6, 2, 2, 4, 6, 2, 2, 6, 10, 9, 2, 6, 6, 6, 2, 6, 1, 10, 2, 1, 10, 10, 6, 1, 10, 10, 6, 10, 2, 2, 10, 1, 10, 10, 2, 1, 1, 6, 6, 10, 10, 6, 2, 1, 10, 1, 2, 10, 1, 1, 1, 2, 2, 2, 6, 6, 10, 2, 10, 0, 1, 1, 6, 6, 1, 6, 1, 2, 10, 1, 2, 1, 2, 2, 10, 2, 2, 10, 1, 2, 9, 1, 2, 6, 1, 2, 1, 6, 10, 1, 1, 1, 1, 2, 10, 2, 10, 2, 2, 10, 2, 10, 10, 1, 10, 1, 1, 1, 6, 6, 6, 6, 2, 2, 10, 6, 1, 10, 2, 10, 2, 10, 10, 1, 6, 6, 6, 6, 6, 6, 1, 10, 1, 1, 2, 6, 10, 2, 2, 1, 6, 1, 6, 2, 6, 10, 10, 10, 6, 6, 6, 2, 6, 1, 10, 1, 1, 2, 2, 2, 0, 2, 6, 1, 2, 6, 10, 6, 6, 1, 6, 1, 1, 6, 0, 10, 1, 2, 1, 1, 6, 2, 6, 6, 2, 6, 10, 6, 2, 10, 2, 1, 4, 2, 1, 1, 1, 10, 2, 6, 1, 10, 1, 1, 1, 2, 10, 6, 1, 6, 10, 1, 6, 2, 6, 4, 6, 2, 6, 10, 6, 10, 6, 2, 10, 1, 2, 2, 2, 2, 6, 6, 2, 9, 9, 10, 1, 10, 2, 2, 6, 10, 1, 10, 1, 10, 10, 2, 2, 10, 1, 2, 2, 1, 1, 2, 6, 6, 10, 6, 1, 6, 6, 10, 10, 4, 4, 2, 1, 6, 2, 10, 1, 6, 10, 6, 1, 10, 6, 4, 10, 10, 2, 10, 5, 2, 1, 10, 5, 10, 5, 10, 6, 6, 1, 1, 6, 1, 6, 6, 1, 6, 0, 2, 6, 6, 6, 10, 2, 1, 2, 1, 2, 2, 6, 6, 10, 2, 2, 1, 2, 2, 10, 10, 1, 10, 6, 10, 1, 6, 5, 10, 1, 10, 6, 1, 6, 1, 10, 10, 6, 2, 2, 6, 10, 10, 6, 10, 10, 6, 6, 2, 1, 6, 1, 6, 10, 6, 1, 9, 10, 6, 2, 10, 6, 2, 9, 10, 6, 4, 2, 1, 0, 10, 5, 6, 1, 2, 6, 2, 1, 1, 1, 2, 2, 2, 2, 6, 2, 2, 6, 9, 2, 1, 6, 2, 2, 6, 2, 6, 1, 1, 10, 10, 10, 6, 10, 1, 10, 6, 0, 1, 1, 10, 2, 10, 2, 6, 6, 1, 2, 1, 10, 2, 6, 2, 2, 1, 1, 2, 1, 10, 10, 2, 6, 6, 10, 1, 6, 2, 6, 1, 1, 2, 2, 2, 1, 10, 2, 10, 1, 2, 6, 10, 2, 1, 9, 6, 6, 10, 2, 2, 2, 10, 1, 10, 6, 10, 2, 1, 6, 6, 5, 10, 2, 1, 6, 10, 10, 10, 6, 4, 10, 10, 2, 5, 2, 1, 6, 6, 10, 2, 1, 10, 6, 2, 10, 1, 1, 2, 10, 2, 1, 1, 2, 10, 2, 2, 6, 1, 1, 10, 1, 2, 1, 10, 10, 10, 1, 1, 10, 1, 10, 6, 6, 6, 10, 6, 6, 2, 5, 6, 1, 10, 1, 1, 0, 6, 10, 2, 1, 6, 10, 2, 1, 6, 6, 10, 1, 1, 6, 2, 1, 6, 1, 1, 1, 1, 6, 2, 6, 1, 2, 10, 2, 10, 2, 2, 10, 2, 10, 10, 2, 6, 10, 10, 6, 10, 6, 10, 2, 6, 2, 10, 6, 2, 9, 1, 2, 2, 1, 0, 0, 2, 10, 2, 6, 6, 1, 1, 1, 2, 6, 10, 6, 1, 10, 6, 6, 10, 6, 1, 6, 2, 6, 1, 2, 10, 6, 6, 10, 1, 1, 1, 10, 1, 6, 1, 6, 10, 6, 6, 6, 9, 10, 2, 6, 10, 1, 1, 6, 6, 1, 2, 6, 6, 2, 10, 2, 1, 1, 10, 2, 2, 6, 6, 4, 6, 2, 1, 1, 9, 6, 10, 6, 6, 1, 2, 2, 6, 1, 6, 2, 1, 1, 1, 10, 2, 1, 1, 2, 10, 10, 1, 2, 6, 2, 10, 6, 2, 10, 1, 5, 10, 10, 6, 10, 2, 10, 10, 6, 1, 6, 2, 2, 6, 6, 6, 10, 6, 6, 1, 2, 2, 6, 2, 10, 2, 1, 2, 2, 9, 10, 2, 6, 6, 6, 6, 1, 10, 1, 1, 6, 2, 6, 6, 6, 6, 10, 9, 6, 6, 10, 2, 6, 10, 10, 1, 4, 6, 2, 10, 10, 1, 6, 10, 6, 6, 2, 10, 6, 2, 10, 1, 10, 6, 10, 2, 2, 10, 10, 10, 2, 2, 10, 1, 10, 2, 1, 5, 1, 2, 4, 2, 1, 10, 10, 6, 1, 6, 10, 10, 6, 1, 2, 10, 10, 10, 2, 6, 0, 2, 10, 2, 1, 10, 10, 6, 6, 1, 6, 10, 1, 6, 6, 2, 6, 2, 10, 6, 10, 2, 6, 9, 1, 6, 10, 2, 2, 10, 2, 6, 10, 6, 2, 2, 10, 10, 0, 1, 1, 10, 10, 10, 2, 1, 10, 6, 10, 10, 10, 6, 9, 2, 10, 6, 1, 6, 5, 2, 10, 2, 6, 1, 10, 1, 2, 10, 10, 10, 2, 0, 10, 6, 1, 6, 10, 10, 10, 5, 10, 6, 2, 1, 2, 2, 6, 6, 2, 6, 10, 10, 2, 6, 6, 10, 2, 2, 1, 2, 10, 10, 2, 10, 6, 2, 1, 6, 6, 2, 10, 1, 6, 1, 2, 10, 10, 2, 2, 1, 2, 10, 10, 10, 2, 2, 10, 10, 2, 2, 1, 2, 10, 1, 6, 1, 10, 2, 6, 6, 6, 2, 6, 10, 1, 6, 6, 6, 2, 2, 10, 6, 10, 2, 10, 6, 4, 2, 1, 6, 2, 1, 2, 10, 1, 10, 10, 2, 2, 1, 2, 2, 1, 2, 1, 6, 10, 6, 6, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 10, 1, 10, 6, 2, 1, 2, 10, 1, 6, 6, 1, 2, 10, 10, 2, 6, 1, 2, 10, 1, 10, 2, 2, 1, 10, 2, 6, 10, 1, 6, 2, 2, 2, 2, 1, 1, 1, 6, 6, 9, 5, 2, 1, 10, 6, 6, 2, 2, 1, 6, 2, 10, 1, 6, 1, 1, 2, 1, 1, 1, 1, 6, 2, 6, 1, 2, 1, 6, 6, 2, 10, 1, 2, 1, 6, 1, 10, 1, 1, 6, 2, 2, 10, 10, 2, 1, 10, 1, 1, 2, 10, 10, 2, 2, 1, 6, 2, 7, 5, 4, 6, 1, 10, 6, 2, 1, 2, 10, 1, 1, 10, 10, 10, 6, 2, 10, 2, 5, 2, 1, 2, 2, 10, 10, 6, 1, 1, 6, 1, 1, 6, 6, 6, 2, 10, 2, 6, 6, 10, 10, 1, 10, 2, 2, 2, 1, 2, 10, 6, 2, 6, 1, 2, 10, 1, 10, 1, 10, 6, 6, 10, 10, 6, 2, 1, 1, 10, 2, 6, 2, 2, 0, 1, 2, 6, 10, 2, 10, 10, 1, 6, 2, 1, 10, 2, 2, 10, 1, 1, 0, 6, 6, 2, 1, 1, 1, 6, 2, 6, 2, 6, 10, 2, 1, 2, 1, 1, 10, 0, 10, 0, 2, 2, 1, 6, 6, 10, 10, 1, 6, 2, 10, 1, 2, 2, 2, 2, 1, 10, 10, 2, 10, 6, 1, 6, 10, 2, 2, 10, 1, 2, 1, 1, 1, 6, 10, 1, 6, 1, 6, 8, 6, 10, 6, 2, 2, 2, 1, 10, 6, 2, 1, 1, 2, 6, 10, 1, 2, 1, 6, 2, 2, 6, 10, 1, 6, 6, 2, 1, 6, 2, 5, 10, 10, 1, 10, 1, 6, 5, 1, 6, 10, 1, 1, 6, 10, 10, 6, 6, 10, 6, 6, 1, 6, 10, 10, 10, 1, 10, 10, 1, 10, 2, 2, 10, 1, 2, 10, 2, 6, 1, 6, 10, 1, 2, 6, 6, 2, 1, 2, 6, 1, 10, 1, 6, 2, 10, 10, 1, 2, 1, 10, 1, 5, 5, 10, 10, 6, 2, 2, 10, 6, 2, 6, 1, 1, 5, 10, 6, 6, 2, 10, 2, 6, 2, 1, 10, 1, 1, 2, 4, 10, 10, 6, 10, 2, 10, 6, 1, 1, 10, 2, 1, 10, 6, 6, 10, 10, 6, 10, 10, 6, 2, 1, 2, 10, 6, 3, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 10, 2, 1, 6, 1, 2, 10, 1, 1, 10, 6, 2, 1, 10, 10, 2, 6, 1, 10, 6, 1, 6, 2, 1, 6, 6, 2, 1, 10, 6, 6, 6, 2, 6, 6, 6, 2, 6, 2, 2, 6, 1, 10, 6, 1, 2, 6, 6, 2, 1, 1, 2, 2, 6, 10, 1, 2, 2, 2, 1, 2, 10, 2, 1, 2, 4, 1, 10, 2, 6, 2, 1, 10, 10, 2, 6, 2, 10, 6, 1, 1, 1, 2, 1, 1, 1, 10, 10, 1, 1, 6, 1, 1, 1, 2, 2, 1, 1, 10, 10, 1, 10, 10, 1, 1, 10, 1, 6, 10, 6, 1, 6, 10, 1, 1, 2, 1, 10, 10, 1, 1, 1, 6, 6, 1, 10, 2, 10, 4, 6, 10, 1, 10, 6, 1, 2, 2, 1, 2, 10, 6, 2, 10, 2, 1, 6, 1, 10, 6, 10, 6, 2, 2, 10, 2, 6, 10, 2, 1, 2, 6, 1, 6, 6, 10, 6, 2, 0, 6, 1, 10, 1, 2, 10, 6, 1, 10, 1, 6, 2, 1, 1, 1, 2, 10, 1, 2, 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1, 1, 10, 10, 1, 0, 1, 10, 1, 6, 6, 1, 6, 1, 10, 2, 6, 1, 1, 6, 10, 1, 1, 6, 6, 6, 10, 1, 6, 10, 6, 10, 6, 1, 1, 10, 6, 10, 2, 10, 10, 2, 10, 6, 2, 10, 5, 10, 1, 10, 10, 1, 10, 1, 6, 6, 6, 6, 10, 6, 6, 6, 4, 1, 1, 2, 6, 1, 10, 6, 6, 6, 6, 1, 10, 10, 2, 1, 1, 10, 6, 10, 2, 6, 10, 2, 2, 6, 10, 10, 10, 6, 10, 5, 6, 2, 6, 1, 10, 6, 1, 1, 6, 6, 6, 6, 6, 2, 2, 2, 10, 10, 6, 1, 2, 1, 6, 10, 6, 1, 1, 2, 10, 10, 0, 6, 1, 2, 6, 2, 1, 10, 6, 1, 10, 6, 10, 1, 6, 1, 2, 1, 6, 1, 10, 10, 1, 6, 6, 10, 2, 1, 2, 6, 2, 1, 6, 6, 6, 2, 2, 10, 6, 6, 6, 1, 6, 1, 6, 2, 10, 6, 10, 1, 6, 1, 2, 6, 1, 2, 6, 2, 2, 1, 6, 6, 10, 1, 1, 6, 6, 1, 2, 10, 6, 10, 1, 1, 10, 2, 1, 6, 6, 2, 6, 2, 10, 6, 1, 2, 10, 10, 10, 10, 2, 2, 2, 1, 6, 2, 2, 6, 1, 1, 6, 1, 6, 10, 6, 2, 6, 1, 5, 10, 1, 1, 1, 2, 6, 10, 6, 6, 6, 10, 2, 1, 1, 1, 2, 5, 2, 1, 10, 2, 2, 2, 10, 2, 6, 6, 1, 10, 1, 2, 10, 4, 2, 10, 2, 10, 6, 6, 1, 10, 10, 10, 1, 6, 1, 1, 1, 6, 6, 1, 1, 10, 6, 2, 10, 0, 10, 6, 9, 2, 2, 6, 1, 2, 10, 6, 2, 1, 10, 1, 10, 10, 1, 2, 6, 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10, 6, 6, 1, 10, 10, 10, 2, 10, 2, 1, 1, 1, 10, 10, 10, 4, 2, 2, 10, 10, 10, 2, 10, 10, 2, 10, 1, 6, 1, 6, 10, 6, 2, 6, 1, 1, 2, 10, 1, 2, 9, 10, 2, 6, 2, 2, 1, 6, 10, 2, 6, 6, 10, 1, 1, 1, 9, 6, 2, 1, 1, 6, 2, 2, 2, 2, 6, 2, 3, 2, 2, 10, 2, 2, 1, 6, 10, 10, 10, 6, 10, 2, 2, 10, 2, 2, 6, 6, 1, 6, 2, 6, 1, 2, 2, 6, 10, 2, 2, 10, 10, 6, 1, 10, 6, 2, 6, 1, 6, 2, 10, 6, 6, 6, 6, 1, 10, 2, 2, 6, 1, 10, 6, 6, 1, 6, 10, 10, 6, 2, 1, 1, 2, 2, 1, 6, 10, 2, 2, 1, 2, 10, 6, 1, 10, 1, 2, 10, 6, 1, 2, 10, 6, 6, 10, 2, 2, 1, 6, 1, 1, 1, 10, 2, 6, 2, 2, 10, 1, 10, 10, 10, 6, 10, 2, 1, 10, 1, 2, 1, 2, 2, 2, 10, 2, 10, 2, 1, 4, 10, 2, 5, 1, 2, 4, 4, 10, 6, 1, 10, 1, 1, 6, 2, 10, 10, 10, 6, 10, 2, 6, 10, 1, 6, 1, 6, 6, 10, 1, 2, 1, 2, 2, 2, 6, 1, 6, 10, 2, 10, 10, 10, 2, 1, 5, 2, 2, 10, 10, 1, 6, 2, 10, 6, 6, 2, 2, 10, 2, 6, 10, 2, 6, 6, 2, 10, 1, 10, 1, 1, 2, 1, 6, 6, 2, 10, 6, 1, 10, 2, 1, 10, 6, 10, 10, 10, 10, 10, 1, 2, 2, 1, 10, 1, 5, 2, 1, 1, 6, 6, 6, 1, 2, 10, 1, 10, 10, 1, 10, 10, 6, 6, 10, 10, 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2, 10, 1, 10, 10, 2, 10, 10, 2, 10, 1, 10, 10, 6, 2, 2, 6, 2, 2, 1, 9, 10, 6, 10, 1, 1, 10, 6, 40, 2, 2, 10, 2, 6, 2, 6, 10, 1, 2, 2, 10, 6, 10, 4, 2, 6, 10, 1, 6, 1, 2, 1, 6, 6, 1, 1, 6, 1, 6, 2, 2, 1, 10, 4, 1, 2, 2, 6, 10, 6, 1, 1, 6, 10, 6, 10, 9, 2, 10, 1, 9, 1, 10, 1, 6, 2, 2, 2, 1, 1, 6, 1, 2, 10, 6, 2, 6, 6, 10, 2, 6, 2, 10, 2, 2, 1, 1, 10, 2, 10, 1, 1, 6, 2, 2, 2, 10, 1, 10, 6, 1, 2, 1, 2, 10, 6, 2, 2, 4, 2, 10, 1, 6, 6, 1, 2, 2, 1, 1, 1, 10, 10, 10, 10, 1, 6, 2, 2, 1, 6, 6, 2, 10, 6, 6, 1, 10, 6, 6, 6, 10, 10, 7, 6, 5, 10, 1, 6, 6, 2, 2, 1, 6, 6, 10, 2, 10, 1, 1, 1, 10, 10, 1, 10, 1, 3, 10, 1, 1, 2, 6, 6, 10, 2, 1, 1, 2, 10, 1, 1, 6, 4, 1, 6, 6, 10, 5, 2, 6, 6, 6, 2, 2, 6, 6, 6, 1, 10, 1, 1, 10, 10, 6, 10, 6, 10, 2, 2, 6, 4, 2, 10, 2, 1, 6, 1, 10, 10, 6, 6, 10, 6, 2, 1, 1, 10, 4, 2, 6, 10, 1, 10, 6, 2, 2, 2, 10, 6, 1, 6, 1, 1, 1, 6, 2, 2, 2, 6, 2, 2, 10, 6, 10, 6, 5, 2, 6, 6, 0, 6, 10, 1, 1, 2, 6, 10, 2, 2, 6, 6, 6, 6, 6, 1, 10, 2, 1, 6, 1, 1, 2, 1, 10, 6, 2, 6, 1, 1, 2, 6, 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10, 10, 6, 6, 6, 10, 1, 10, 6, 2, 1, 6, 10, 10, 10, 1, 10, 10, 10, 1, 1, 6, 5, 1, 1, 10, 6, 10, 10, 10, 9, 10, 2, 10, 10, 2, 10, 1, 2, 10, 1, 1, 1, 1, 6, 1, 6, 10, 10, 2, 6, 10, 1, 10, 6, 10, 2, 1, 1, 2, 2, 6, 1, 10, 2, 6, 2, 1, 1, 2, 2, 6, 9, 10, 10, 6, 1, 6, 2, 6, 1, 2, 6, 10, 2, 1, 6, 6, 6, 6, 1, 10, 10, 6, 2, 6, 10, 1, 1, 2, 1, 10, 10, 5, 1, 2, 1, 2, 4, 6, 10, 6, 1, 10, 1, 10, 10, 6, 6, 1, 10, 10, 2, 1, 10, 10, 1, 1, 2, 6, 6, 1, 10, 10, 2, 6, 10, 10, 2, 6, 2, 2, 6, 10, 2, 2, 6, 6, 6, 2, 1, 6, 9, 6, 10, 6, 1, 2, 10, 2, 10, 2, 10, 6, 1, 1, 6, 10, 10, 2, 2, 9, 1, 2, 10, 6, 2, 6, 2, 10, 2, 6, 10, 6, 2, 10, 10, 6, 10, 6, 6, 6, 6, 2, 2, 2, 10, 2, 10, 10, 10, 6, 1, 6, 10, 10, 2, 2, 10, 6, 10, 6, 2, 1, 6, 4, 1, 1, 1, 2, 6, 6, 2, 5, 12, 10, 2, 6, 10, 1, 6, 6, 2, 1, 6, 1, 2, 6, 2, 1, 1, 6, 2, 6, 10, 2, 10, 2, 10, 6, 10, 2, 10, 2, 10, 6, 2, 6, 2, 6, 2, 6, 10, 10, 1, 1, 1, 2, 10, 10, 2, 6, 6, 6, 6, 9, 10, 1, 1, 10, 10, 10, 1, 10, 6, 10, 4, 1, 6, 6, 2, 10, 2, 10, 6, 10, 6, 1, 10, 1, 0, 10, 6, 10, 10, 2, 1, 10, 6, 2, 6, 2, 1, 10, 1, 10, 10, 1, 10, 6, 1, 1, 6, 2, 5, 10, 2, 6, 2, 4, 6, 10, 2, 1, 1, 10, 10, 10, 10, 6, 1, 6, 10, 2, 2, 6, 6, 1, 6, 1, 6, 10, 6, 6, 6, 2, 2, 10, 10, 6, 6, 10, 1, 1, 1, 9, 10, 10, 10, 1, 10, 10, 10, 6, 5, 1, 6, 2, 10, 1, 0, 2, 1, 6, 10, 2, 6, 1, 0, 6, 1, 10, 10, 1, 6, 10, 6, 1, 10, 2, 2, 6, 10, 1, 1, 1, 1, 10, 6, 10, 10, 6, 6, 1, 6, 6, 10, 6, 2, 2, 1, 6, 2, 1, 2, 10, 10, 6, 10, 10, 10, 10, 2, 2, 1, 1, 2, 6, 6, 10, 6, 2, 10, 6, 2, 6, 2, 2, 1, 2, 2, 6, 10, 2, 1, 6, 6, 10, 6, 10, 10, 1, 2, 4, 2, 2, 10, 2, 2, 1, 2, 1, 1, 1, 2, 6, 10, 1, 2, 10, 10, 6, 10, 1, 1, 6, 6, 2, 1, 2, 2, 1, 5, 1, 2, 1, 10, 6, 10, 6, 10, 6, 10, 2, 2, 1, 1, 6, 10, 2, 0, 6, 10, 2, 10, 1, 6, 9, 2, 2, 1, 2, 2, 1, 6, 6, 2, 10, 10, 6, 10, 6, 2, 1, 2, 10, 2, 2, 2, 2, 10, 1, 10, 6, 1, 1, 2, 10, 1, 1, 1, 10, 0, 2, 6, 10, 10, 1, 2, 2, 6, 10, 2, 2, 6, 10, 2, 6, 10, 10, 6, 6, 2, 10, 2, 2, 10, 2, 6, 9, 1, 10, 2, 2, 1, 2, 0, 1, 6, 6, 6, 6, 6, 2, 2, 1, 10, 10, 2, 2, 10, 6, 2, 2, 2, 2, 1, 10, 2, 10, 1, 1, 6, 10, 6, 10, 1, 2, 2, 6, 1, 1, 6, 6, 6, 1, 1, 10, 6, 2, 10, 10, 10, 6, 6, 2, 6, 1, 1, 2, 10, 6, 10, 1, 10, 10, 6, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 6, 5, 1, 6, 1, 2, 6, 6, 6, 1, 9, 10, 1, 1, 6, 1, 2, 1, 10, 1, 2, 10, 6, 2, 1, 1, 6, 1, 2, 6, 1, 6, 1, 6, 10, 6, 10, 6, 1, 1, 6, 6, 1, 1, 2, 1, 6, 2, 1, 10, 6, 1, 2, 10, 2, 6, 10, 6, 6, 10, 10, 10, 1, 1, 6, 6, 1, 1, 1, 1, 6, 10, 10, 10, 10, 6, 6, 2, 10, 1, 2, 1, 10, 1, 1, 6, 1, 6, 6, 6, 2, 10, 6, 10, 10, 2, 1, 1, 10, 1, 2, 1, 10, 6, 1, 1, 6, 6, 6, 2, 10, 10, 2, 10, 1, 6, 6, 10, 2, 6, 2, 10, 1, 1, 4, 1, 1, 1, 6, 10, 6, 6, 10, 10, 2, 1, 2, 10, 10, 10, 6, 1, 10, 1, 1, 2, 10, 10, 4, 1, 10, 6, 2, 2, 1, 10, 10, 1, 1, 10, 2, 10, 6, 2, 1, 1, 2, 6, 1, 1, 2, 1, 10, 10, 6, 1, 10, 10, 6, 1, 6, 6, 2, 10, 10, 6, 1, 2, 2, 2, 6, 6, 6, 2, 2, 1, 6, 10, 2, 10, 1, 10, 1, 10, 6, 1, 6, 2, 1, 2, 6, 1, 1, 2, 2, 6, 10, 1, 2, 2, 10, 10, 2, 2, 2, 2, 6, 2, 6, 2, 2, 6, 2, 2, 6, 10, 10, 6, 10, 6, 2, 6, 6, 2, 0, 6, 2, 1, 2, 10, 6, 6, 10, 10, 10, 1, 1, 1, 2, 2, 6, 10, 1, 6, 10, 6, 2, 2, 6, 6, 2, 10, 6, 6, 6, 1, 10, 2, 1, 1, 6, 10, 10, 10, 2, 6, 10, 2, 2, 2, 2, 1, 10, 10, 2, 10, 1, 6, 1, 2, 6, 1, 1, 6, 6, 10, 2, 6, 6, 10, 10, 2, 2, 1, 10, 2, 10, 2, 2, 6, 10, 1, 10, 1, 2, 10, 10, 1, 10, 1, 6, 10, 2, 2, 10, 2, 1, 0, 6, 6, 2, 10, 1, 2, 10, 2, 2, 10, 1, 6, 2, 0, 1, 0, 6, 6, 1, 2, 6, 1, 10, 2, 2, 6, 1, 10, 1, 1, 2, 1, 10, 1, 1, 2, 6, 10, 2, 6, 1, 6, 10, 1, 1, 1, 10, 2, 5, 1, 6, 1, 10, 10, 10, 2, 10, 6, 10, 1, 2, 9, 2, 6, 10, 1, 6, 2, 6, 2, 1, 1, 5, 10, 2, 1, 10, 10, 1, 10, 1, 6, 10, 6, 2, 1, 10, 2, 10, 2, 6, 6, 10, 1, 6, 6, 1, 2, 10, 2, 10, 10, 2, 1, 10, 2, 2, 6, 1, 6, 10, 10, 2, 1, 1, 6, 10, 1, 1, 1, 2, 10, 6, 1, 1, 6, 6, 1, 6, 10, 10, 1, 10, 2, 2, 10, 1, 6, 1, 6, 1, 6, 10, 6, 10, 6, 1, 1, 10, 2, 1, 1, 6, 2, 6, 6, 2, 6, 2, 2, 10, 10, 10, 2, 6, 1, 1, 5, 6, 6, 1, 9, 1, 6, 6, 1, 2, 6, 1, 6, 2, 1, 10, 6, 1, 1, 1, 1, 2, 6, 1, 1, 6, 10, 1, 2, 10, 1, 1, 10, 10, 6, 10, 10, 10, 2, 10, 1, 2, 6, 10, 1, 2, 10, 10, 1, 6, 1, 1, 2, 10, 6, 2, 10, 10, 6, 6, 2, 1, 10, 1, 6, 10, 2, 10, 6, 6, 10, 1, 10, 1, 1, 1, 1, 10, 1, 2, 10, 10, 10, 1, 1, 1, 1, 6, 1, 2, 2, 10, 2, 10, 10, 6, 2, 10, 2, 2, 6, 10, 10, 4, 2, 10, 2, 1, 9, 6, 10, 10, 1, 1, 5, 6, 1, 2, 2, 2, 6, 6, 1, 6, 10, 10, 6, 10, 6, 1, 2, 1, 6, 10, 2, 10, 6, 10, 8, 10, 6, 10, 2, 1, 1, 6, 2, 6, 1, 2, 6, 10, 6, 6, 1, 2, 10, 4, 1, 1, 2, 2, 6, 10, 1, 6, 1, 2, 10, 6, 6, 6, 2, 2, 6, 10, 6, 10, 10, 10, 6, 10, 6, 1, 1, 10, 1, 1, 1, 2, 1, 10, 1, 10, 2, 2, 6, 2, 6, 6, 1, 1, 10, 10, 2, 1, 6, 2, 10, 10, 6, 6, 6, 6, 1, 2, 10, 10, 6, 10, 10, 1, 6, 10, 10, 2, 2, 10, 1, 2, 6, 1, 10, 6, 10, 1, 10, 2, 10, 10, 10, 10, 2, 6, 10, 2, 4, 1, 1, 2, 6, 1, 6, 6, 1, 1, 10, 1, 9, 9, 1, 10, 2, 6, 6, 6, 10, 6, 6, 1, 2, 1, 2, 5, 10, 1, 2, 2, 1, 6, 10, 1, 2, 10, 10, 10, 1, 9, 10, 2, 2, 10, 2, 2, 10, 2, 6, 2, 4, 1, 2, 1, 1, 10, 6, 6, 2, 1, 6, 6, 10, 6, 2, 1, 2, 2, 1, 1, 10, 1, 10, 10, 10, 2, 10, 1, 2, 2, 6, 10, 1, 6, 1, 2, 1, 1, 2, 10, 6, 1, 2, 1, 10, 6, 1, 1, 10, 10, 10, 2, 6, 2, 2, 6, 10, 2, 1, 1, 1, 1, 6, 2, 10, 10, 6, 6, 10, 1, 1, 10, 6, 2, 2, 6, 10, 1, 10, 2, 6, 6, 1, 2, 2, 6, 10, 1, 6, 10, 1, 1, 1, 1, 6, 1, 10, 10, 1, 2, 10, 10, 2, 2, 2, 1, 10, 1, 1, 6, 1, 10, 10, 6, 10, 1, 1, 6, 1, 2, 2, 6, 1, 1, 2, 6, 10, 10, 2, 6, 2, 6, 2, 6, 2, 1, 6, 1, 1, 2, 6, 1, 2, 1, 10, 6, 1, 6, 1, 6, 10, 10, 2, 2, 10, 2, 10, 10, 6, 1, 6, 2, 10, 1, 1, 6, 2, 2, 6, 6, 6, 6, 2, 10, 6, 1, 1, 10, 6, 1, 2, 1, 1, 1, 6, 1, 6, 6, 10, 1, 2, 2, 2, 10, 10, 10, 5, 2, 1, 1, 6, 2, 6, 6, 1, 2, 2, 9, 2, 6, 6, 10, 2, 10, 10, 6, 2, 2, 2, 1, 2, 6, 6, 1, 2, 2, 1, 6, 1, 10, 10, 2, 10, 2, 6, 10, 6, 6, 2, 6, 2, 10, 1, 2, 10, 10, 10, 10, 6, 2, 1, 6, 1, 10, 10, 10, 1, 10, 2, 2, 2, 1, 1, 2, 2, 10, 4, 2, 1, 10, 1, 6, 1, 6, 6, 10, 6, 1, 1, 10, 6, 2, 6, 6, 10, 1, 1, 2, 1, 1, 10, 1, 2, 2, 6, 10, 1, 6, 2, 2, 1, 6, 1, 1, 1, 6, 10, 6, 10, 6, 2, 2, 2, 1, 6, 1, 2, 10, 2, 10, 9, 6, 1, 5, 6, 1, 2, 10, 2, 2, 10, 6, 2, 1, 10, 2, 6, 10, 6, 6, 2, 1, 6, 1, 10, 2, 6, 2, 2, 10, 2, 2, 10, 1, 6, 2, 10, 2, 6, 1, 10, 1, 10, 2, 10, 1, 10, 1, 2, 2, 6, 1, 10, 2, 1, 2, 1, 10, 2, 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10, 10, 10, 1, 10, 10, 1, 2, 2, 2, 2, 10, 6, 1, 2, 10, 10, 1, 1, 1, 2, 2, 10, 2, 2, 2, 10, 1, 6, 6, 6, 6, 2, 2, 10, 1, 10, 2, 6, 6, 1, 6, 6, 2, 10, 2, 2, 10, 2, 10, 1, 1, 2, 1, 1, 1, 6, 6, 2, 6, 10, 10, 2, 10, 10, 6, 10, 4, 4, 2, 1, 6, 10, 9, 1, 2, 10, 10, 10, 6, 10, 10, 1, 6, 2, 1, 10, 10, 2, 1, 1, 6, 1, 1, 1, 10, 2, 6, 10, 10, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 6, 6, 1, 6, 2, 2, 10, 1, 1, 6, 1, 1, 6, 10, 6, 10, 2, 10, 10, 2, 2, 2, 10, 1, 1, 6, 1, 10, 2, 6, 6, 10, 10, 2, 10, 1, 5, 2, 1, 10, 2, 2, 2, 6, 1, 10, 10, 10, 6, 2, 10, 1, 10, 9, 6, 10, 10, 6, 1, 6, 6, 2, 1, 6, 1, 10, 1, 6, 6, 6, 6, 10, 1, 5, 2, 6, 10, 1, 10, 1, 2, 10, 1, 6, 1, 2, 6, 6, 2, 6, 1, 2, 2, 6, 1, 1, 1, 2, 10, 6, 4, 10, 1, 1, 10, 6, 1, 1, 2, 10, 6, 5, 6, 10, 1, 6, 1, 2, 6, 1, 2, 2, 1, 2, 2, 1, 10, 9, 1, 6, 2, 1, 0, 4, 6, 1, 2, 10, 2, 10, 2, 10, 5, 10, 1, 1, 2, 2, 6, 6, 1, 6, 10, 2, 1, 2, 10, 6, 1, 10, 1, 4, 6, 10, 2, 1, 1, 10, 2, 1, 2, 1, 0, 1, 1, 6, 2, 2, 6, 2, 2, 6, 6, 1, 1, 2, 1, 10, 1, 1, 6, 6, 6, 1, 6, 2, 1, 6, 6, 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10, 10, 10, 6, 10, 10, 1, 10, 1, 1, 1, 6, 10, 2, 6, 1, 2, 10, 1, 10, 10, 1, 6, 1, 6, 10, 10, 6, 10, 2, 1, 1, 2, 1, 6, 1, 10, 6, 6, 2, 6, 10, 1, 10, 1, 1, 0, 2, 1, 5, 2, 10, 6, 1, 1, 10, 10, 6, 1, 1, 10, 2, 6, 2, 10, 1, 6, 2, 6, 1, 6, 2, 1, 1, 1, 6, 1, 6, 10, 1, 6, 10, 1, 6, 10, 1, 2, 6, 6, 1, 1, 2, 1, 2, 9, 1, 1, 1, 2, 10, 10, 6, 1, 6, 10, 1, 10, 10, 1, 10, 2, 10, 6, 1, 6, 1, 1, 2, 6, 6, 10, 1, 10, 1, 10, 6, 1, 6, 10, 10, 10, 6, 2, 10, 2, 2, 2, 10, 2, 2, 2, 1, 0, 10, 1, 6, 6, 6, 10, 1, 6, 10, 2, 10, 1, 2, 6, 2, 6, 1, 2, 6, 10, 1, 2, 10, 10, 1, 6, 6, 10, 6, 10, 10, 6, 1, 0, 2, 6, 2, 2, 2, 6, 10, 2, 9, 1, 1, 10, 1, 1, 2, 10, 2, 2, 10, 6, 6, 10, 1, 10, 4, 1, 1, 10, 6, 2, 10, 10, 10, 1, 1, 6, 2, 2, 1, 2, 2, 10, 2, 6, 2, 2, 1, 1, 1, 2, 5, 2, 10, 1, 2, 2, 2, 6, 10, 2, 10, 2, 6, 6, 10, 5, 2, 10, 0, 10, 2, 2, 6, 2, 10, 10, 2, 1, 2, 6, 10, 10, 4, 1, 2, 2, 1, 2, 10, 1, 2, 6, 2, 2, 2, 2, 1, 6, 2, 2, 2, 10, 6, 1, 2, 1, 1, 10, 2, 10, 10, 2, 1, 1, 1, 1, 6, 2, 2, 10, 10, 1, 1, 6, 6, 1, 0, 1, 6, 10, 2, 2, 2, 10, 10, 2, 2, 10, 10, 6, 6, 2, 2, 6, 1, 6, 6, 2, 1, 2, 1, 10, 10, 1, 1, 6, 6, 6, 1, 6, 2, 2, 6, 1, 1, 6, 1, 6, 1, 6, 1, 2, 6, 1, 10, 2, 2, 2, 10, 6, 6, 6, 10, 2, 10, 1, 10, 10, 6, 1, 1, 6, 6, 10, 1, 1, 6, 1, 2, 10, 10, 0, 2, 1, 10, 1, 2, 1, 2, 2, 2, 10, 1, 1, 1, 10, 6, 6, 2, 10, 1, 2, 2, 10, 6, 2, 10, 10, 2, 2, 2, 2, 1, 10, 6, 6, 6, 6, 1, 1, 1, 1, 10, 10, 1, 10, 1, 2, 1, 10, 2, 6, 1, 2, 10, 6, 10, 10, 6, 1, 6, 10, 1, 2, 10, 0, 6, 1, 1, 1, 2, 1, 1, 2, 10, 2, 6, 2, 1, 6, 10, 6, 10, 2, 4, 2, 1, 10, 2, 1, 6, 1, 10, 2, 4, 6, 10, 10, 2, 2, 1, 6, 10, 1, 6, 10, 0, 10, 1, 6, 6, 1, 6, 2, 10, 6, 6, 6, 1, 6, 10, 10, 2, 1, 2, 10, 1, 1, 2, 1, 6, 1, 1, 5, 1, 6, 2, 10, 10, 10, 6, 2, 1, 6, 6, 6, 10, 6, 2, 2, 10, 2, 2, 6, 2, 2, 1, 10, 2, 1, 1, 10, 10, 6, 1, 2, 6, 6, 1, 2, 1, 2, 2, 6, 2, 1, 6, 1, 10, 6, 10, 1, 10, 2, 6, 5, 6, 1, 1, 10, 1, 10, 2, 1, 1, 10, 6, 1, 2, 1, 6, 2, 10, 2, 1, 2, 1, 1, 1, 6, 10, 10, 10, 1, 6, 6, 1, 6, 6, 2, 6, 10, 9, 6, 10, 1, 6, 10, 2, 10, 2, 2, 2, 2, 2, 10, 10, 6, 1, 6, 2, 6, 6, 1, 6, 2, 6, 2, 10, 6, 2, 9, 6, 10, 6, 6, 10, 6, 10, 6, 6, 10, 6, 10, 6, 6, 6, 0, 10, 10, 2, 6, 6, 1, 10, 2, 2, 1, 10, 2, 6, 10, 10, 10, 10, 6, 6, 2, 2, 1, 2, 2, 6, 6, 1, 6, 10, 6, 2, 6, 10, 1, 1, 2, 2, 10, 2, 2, 9, 1, 1, 10, 6, 2, 2, 10, 2, 10, 6, 6, 6, 6, 10, 10, 2, 2, 10, 2, 10, 6, 2, 9, 2, 1, 1, 10, 10, 1, 2, 10, 2, 2, 1, 1, 10, 2, 1, 1, 10, 6, 2, 6, 1, 1, 1, 6, 10, 10, 6, 2, 6, 1, 10, 6, 2, 1, 10, 6, 2, 6, 6, 6, 10, 2, 2, 6, 10, 10, 10, 6, 6, 1, 10, 1, 2, 6, 10, 6, 10, 10, 10, 6, 2, 2, 1, 2, 2, 10, 2, 10, 1, 1, 2, 2, 5, 10, 1, 10, 6, 1, 10, 1, 2, 6, 6, 10, 1, 10, 6, 10, 2, 1, 2, 6, 6, 6, 10, 2, 1, 10, 10, 2, 10, 6, 1, 1, 10, 10, 2, 2, 1, 10, 10, 10, 10, 6, 2, 1, 6, 10, 6, 6, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 6, 2, 10, 6, 2, 1, 6, 1, 10, 2, 6, 1, 1, 6, 6, 10, 1, 6, 10, 1, 10, 1, 1, 2, 2, 2, 1, 2, 10, 6, 6, 2, 10, 6, 6, 1, 2, 2, 1, 6, 1, 50, 6, 2, 6, 6, 1, 6, 10, 1, 10, 10, 1, 10, 6, 10, 1, 6, 10, 1, 10, 2, 1, 10, 10, 10, 1, 2, 1, 10, 1, 6, 2, 1, 0, 10, 6, 6, 2, 10, 4, 6, 1, 6, 2, 2, 1, 6, 6, 10, 1, 2, 1, 1, 6, 2, 6, 1, 6, 4, 6, 10, 10, 10, 4, 6, 1, 6, 1, 6, 10, 6, 1, 6, 6, 1, 10, 10, 6, 10, 2, 10, 6, 2, 2, 10, 6, 10, 1, 10, 2, 10, 6, 10, 10, 2, 6, 5, 2, 10, 1, 0, 6, 2, 6, 10, 10, 10, 2, 1, 1, 6, 2, 6, 10, 1, 10, 6, 1, 2, 10, 2, 10, 2, 1, 10, 2, 1, 1, 1, 10, 1, 2, 2, 10, 1, 2, 9, 10, 10, 1, 6, 10, 6, 6, 10, 6, 6, 6, 10, 2, 2, 9, 10, 2, 2, 6, 2, 2, 2, 6, 10, 10, 6, 6, 1, 10, 6, 6, 1, 2, 2, 1, 1, 6, 1, 6, 6, 2, 1, 10, 6, 1, 1, 6, 6, 2, 10, 1, 6, 2, 1, 10, 6, 2, 1, 6, 2, 1, 2, 2, 10, 2, 2, 2, 1, 1, 10, 6, 2, 10, 6, 1, 6, 1, 2, 2, 2, 1, 1, 4, 2, 6, 2, 10, 6, 2, 10, 1, 2, 10, 2, 2, 1, 6, 1, 2, 2, 1, 5, 10, 10, 9, 2, 1, 2, 10, 1, 2, 10, 2, 2, 1, 2, 1, 6, 6, 6, 6, 10, 2, 10, 1, 2, 10, 10, 2, 1, 4, 10, 6, 10, 1, 2, 6, 1, 1, 6, 2, 9, 6, 10, 6, 2, 2, 10, 2, 2, 10, 6, 1, 6, 10, 10, 2, 1, 2, 1, 2, 10, 1, 10, 1, 1, 10, 10, 10, 1, 4, 0, 2, 2, 10, 2, 1, 10, 10, 1, 6, 2, 10, 6, 4, 9, 1, 2, 2, 2, 2, 1, 2, 10, 10, 10, 1, 6, 10, 10, 10, 6, 1, 2, 2, 6, 2, 2, 10, 1, 1, 6, 10, 1, 10, 10, 1, 10, 6, 1, 2, 6, 6, 1, 10, 6, 2, 10, 10, 2, 2, 1, 6, 2, 10, 6, 2, 2, 1, 10, 10, 10, 6, 2, 2, 9, 1, 10, 2, 1, 10, 1, 10, 2, 6, 1, 1, 1, 6, 1, 1, 10, 1, 6, 10, 6, 1, 10, 1, 1, 6, 10, 2, 10, 1, 1, 10, 2, 1, 6, 10, 6, 6, 2, 6, 1, 2, 2, 6, 10, 10, 10, 6, 1, 1, 10, 6, 2, 6, 10, 6, 2, 2, 3, 2, 2, 6, 2, 6, 10, 10, 2, 6, 2, 1, 6, 6, 10, 1, 10, 6, 6, 10, 1, 10, 1, 10, 10, 10, 5, 1, 1, 2, 2, 1, 2, 9, 2, 10, 2, 10, 1, 2, 10, 6, 10, 10, 6, 10, 2, 6, 6, 10, 6, 2, 2, 1, 1, 2, 1, 1, 10, 6, 1, 4, 6, 2, 10, 2, 2, 6, 6, 1, 6, 1, 1, 6, 6, 10, 10, 6, 1, 6, 6, 2, 5, 2, 6, 2, 1, 6, 10, 10, 2, 9, 1, 6, 2, 2, 9, 1, 2, 1, 2, 6, 6, 1, 10, 1, 6, 1, 10, 10, 1, 6, 1, 6, 1, 6, 2, 10, 6, 10, 1, 6, 1, 10, 1, 6, 1, 2, 2, 6, 10, 2, 2, 1, 1, 9, 6, 2, 1, 6, 4, 1, 10, 2, 10, 2, 10, 6, 2, 2, 2, 10, 2, 1, 2, 6, 6, 6, 2, 1, 5, 10, 6, 1, 10, 1, 6, 6, 1, 6, 2, 2, 10, 5, 2, 1, 2, 6, 6, 1, 2, 2, 6, 2, 10, 1, 2, 2, 2, 10, 2, 5, 2, 6, 6, 6, 2, 2, 2, 10, 10, 1, 1, 2, 1, 2, 6, 1, 10, 1, 6, 6, 6, 1, 6, 6, 10, 6, 6, 6, 6, 6, 10, 2, 6, 6, 1, 6, 2, 2, 10, 6, 10, 1, 6, 10, 2, 10, 1, 2, 7, 2, 10, 10, 10, 2, 6, 10, 10, 6, 10, 1, 6, 2, 2, 10, 4, 1, 5, 2, 10, 6, 10, 1, 6, 2, 1, 10, 6, 10, 10, 10, 6, 0, 2, 1, 2, 6, 6, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 6, 2, 2, 10, 10, 1, 2, 2, 10, 10, 10, 6, 1, 1, 10, 10, 1, 6, 6, 2, 9, 10, 1, 2, 1, 10, 6, 1, 9, 2, 10, 2, 2, 10, 6, 1, 6, 6, 10, 6, 6, 1, 10, 10, 10, 6, 2, 2, 10, 2, 10, 1, 1, 2, 1, 2, 10, 6, 10, 10, 6, 2, 10, 6, 6, 6, 2, 10, 1, 10, 9, 10, 10, 2, 6, 6, 1, 6, 10, 6, 2, 6, 6, 10, 6, 10, 10, 1, 2, 9, 6, 1, 10, 2, 1, 10, 9, 2, 6, 2, 6, 2, 6, 10, 1, 6, 6, 1, 1, 6, 2, 2, 1, 10, 6, 10, 6, 10, 2, 6, 10, 2, 2, 6, 6, 2, 10, 1, 10, 1, 1, 5, 10, 10, 6, 1, 1, 10, 10, 10, 6, 1, 9, 10, 2, 6, 10, 9, 1, 4, 1, 6, 2, 6, 10, 1, 6, 1, 1, 1, 6, 9, 10, 1, 1, 10, 2, 2, 10, 10, 10, 1, 10, 6, 1, 6, 1, 6, 1, 10, 6, 10, 6, 6, 6, 2, 10, 2, 6, 6, 2, 6, 6, 6, 2, 10, 6, 1, 10, 1, 2, 1, 4, 1, 1, 10, 2, 10, 1, 2, 1, 1, 10, 10, 1, 10, 2, 6, 10, 10, 6, 10, 10, 6, 5, 2, 10, 1, 1, 10, 2, 10, 1, 10, 10, 6, 6, 6, 1, 2, 1, 10, 6, 10, 10, 6, 10, 2, 6, 10, 10, 2, 2, 1, 10, 2, 6, 10, 4, 2, 10, 10, 6, 1, 2, 2, 10, 10, 6, 1, 10, 1, 6, 2, 10, 1, 6, 2, 4, 6, 6, 10, 2, 2, 10, 1, 2, 1, 1, 5, 6, 5, 10, 2, 2, 2, 6, 6, 6, 10, 2, 10, 1, 2, 6, 2, 6, 10, 2, 1, 2, 6, 10, 1, 1, 2, 1, 6, 1, 10, 2, 5, 10, 6, 10, 2, 10, 2, 2, 1, 1, 1, 1, 2, 2, 10, 10, 1, 2, 1, 1, 6, 1, 10, 1, 2, 6, 6, 6, 1, 1, 6, 6, 2, 10, 2, 10, 2, 6, 10, 2, 1, 10, 2, 6, 5, 1, 6, 6, 10, 1, 10, 6, 6, 1, 10, 1, 10, 1, 1, 2, 2, 1, 2, 2, 1, 2, 10, 6, 2, 2, 2, 1, 2, 2, 6, 2, 9, 1, 6, 1, 6, 10, 10, 1, 2, 10, 10, 6, 10, 10, 2, 10, 1, 1, 10, 10, 6, 10, 6, 10, 6, 1, 6, 10, 6, 10, 1, 6, 2, 10, 10, 10, 1, 10, 2, 6, 2, 0, 10, 10, 10, 2, 2, 6, 1, 2, 1, 6, 2, 1, 6, 10, 6, 6, 1, 6, 2, 1, 1, 6, 1, 2, 2, 6, 6, 1, 6, 1, 6, 6, 6, 2, 6, 10, 2, 2, 10, 10, 10, 1, 1, 6, 2, 1, 1, 6, 6, 6, 10, 10, 10, 6, 9, 10, 1, 2, 10, 10, 1, 0, 2, 10, 2, 10, 2, 10, 1, 6, 6, 10, 1, 1, 6, 6, 10, 1, 10, 6, 2, 6, 1, 10, 1, 1, 1, 2, 6, 6, 1, 10, 10, 6, 6, 5, 2, 1, 6, 10, 1, 6, 10, 10, 2, 6, 6, 6, 1, 2, 1, 1, 10, 1, 10, 10, 1, 6, 6, 6, 1, 6, 6, 10, 1, 2, 2, 6, 2, 1, 6, 10, 10, 6, 2, 1, 5, 2, 6, 1, 10, 1, 6, 10, 5, 1, 2, 1, 10, 1, 2, 1, 2, 10, 6, 1, 10, 2, 1, 1, 1, 1, 1, 1, 10, 10, 1, 2, 10, 2, 10, 2, 1, 5, 10, 10, 1, 6, 1, 10, 10, 6, 6, 6, 10, 2, 10, 6, 10, 1, 2, 2, 2, 6, 10, 10, 6, 2, 2, 1, 1, 1, 10, 2, 1, 6, 10, 6, 2, 10, 2, 6, 2, 1, 6, 1, 6, 2, 2, 1, 6, 10, 1, 2, 1, 6, 10, 10, 10, 6, 2, 2, 2, 1, 1, 10, 1, 1, 10, 6, 2, 1, 9, 6, 2, 2, 6, 1, 2, 2, 10, 10, 6, 10, 10, 2, 1, 6, 6, 2, 10, 10, 0, 1, 1, 2, 10, 6, 10, 2, 1, 6, 1, 10, 6, 4, 10, 10, 6, 10, 2, 2, 6, 6, 1, 10, 10, 10, 2, 10, 1, 2, 6, 2, 10, 10, 2, 6, 10, 1, 10, 10, 10, 1, 2, 1, 1, 2, 1, 2, 1, 6, 1, 10, 10, 10, 1, 10, 2, 6, 2, 1, 0, 10, 6, 6, 2, 6, 10, 1, 1, 1, 10, 10, 10, 2, 10, 6, 2, 10, 10, 10, 6, 2, 6, 2, 1, 1, 10, 6, 2, 2, 1, 6, 1, 6, 6, 1, 6, 2, 10, 10, 10, 10, 1, 6, 6, 2, 1, 1, 2, 1, 1, 2, 10, 6, 6, 6, 1, 2, 1, 10, 0, 2, 2, 1, 2, 2, 6, 2, 2, 2, 10, 1, 1, 6, 6, 1, 1, 1, 2, 1, 5, 2, 6, 10, 1, 6, 6, 1, 1, 10, 1, 10, 10, 2, 1, 10, 1, 0, 2, 2, 10, 1, 10, 2, 1, 1, 6, 1, 6, 6, 40, 2, 1, 6, 10, 10, 10, 1, 6, 1, 6, 10, 10, 9, 1, 2, 1, 2, 10, 10, 1, 2, 10, 10, 2, 10, 1, 1, 10, 10, 6, 10, 10, 2, 2, 1, 2, 2, 1, 10, 10, 1, 6, 2, 2, 1, 6, 10, 1, 1, 6, 10, 1, 2, 10, 2, 1, 2, 10, 2, 2, 6, 10, 6, 2, 6, 6, 6, 6, 6, 6, 2, 6, 2, 10, 6, 6, 6, 10, 2, 6, 2, 6, 6, 10, 2, 2, 6, 10, 10, 1, 2, 6, 6, 1, 6, 2, 10, 2, 1, 6, 10, 1, 2, 10, 10, 2, 10, 6, 1, 6, 2, 1, 10, 10, 10, 2, 1, 10, 1, 6, 1, 6, 2, 1, 10, 10, 6, 6, 6, 1, 2, 1, 2, 10, 6, 9, 2, 6, 2, 6, 10, 2, 10, 10, 10, 10, 6, 2, 2, 2, 1, 10, 1, 2, 1, 1, 4, 6, 1, 1, 1, 1, 1, 10, 10, 10, 10, 2, 2, 6, 2, 6, 6, 10, 1, 1, 2, 2, 6, 2, 2, 1, 6, 6, 6, 10, 2, 6, 2, 6, 1, 10, 10, 2, 10, 2, 1, 6, 6, 2, 2, 1, 2, 1, 1, 6, 2, 6, 10, 10, 6, 2, 1, 6, 6, 2, 1, 10, 2, 6, 10, 10, 2, 1, 10, 1, 6, 2, 2, 5, 2, 2, 2, 6, 6, 1, 1, 6, 1, 1, 10, 2, 10, 6, 10, 6, 2, 10, 2, 10, 0, 1, 2, 10, 10, 1, 10, 10, 10, 1, 2, 6, 2, 6, 10, 1, 2, 2, 4, 10, 2, 10, 2, 2, 1, 6, 2, 2, 6, 1, 1, 2, 6, 9, 2, 10, 6, 1, 1, 2, 2, 2, 6, 2, 2, 6, 2, 2, 6, 10, 10, 10, 2, 6, 1, 6, 6, 1, 2, 6, 2, 10, 10, 10, 2, 0, 2, 6, 6, 10, 10, 10, 2, 10, 10, 10, 2, 1, 2, 10, 2, 4, 10, 6, 1, 2, 6, 6, 1, 1, 6, 6, 2, 6, 6, 2, 6, 10, 2, 1, 5, 10, 2, 2, 10, 6, 6, 1, 10, 10, 6, 10, 1, 10, 6, 6, 1, 6, 10, 10, 1, 6, 2, 6, 10, 1, 1, 2, 1, 6, 1, 2, 1, 1, 1, 1, 10, 10, 10, 10, 6, 1, 1, 6, 2, 2, 6, 10, 6, 6, 1, 1, 1, 6, 1, 1, 2, 10, 10, 1, 10, 2, 1, 10, 1, 1, 6, 6, 1, 1, 2, 6, 1, 2, 10, 10, 1, 1, 2, 10, 1, 1, 1, 8, 4, 10, 2, 9, 1, 10, 6, 2, 6, 2, 6, 10, 6, 10, 6, 6, 1, 10, 6, 10, 6, 10, 1, 6, 10, 6, 10, 1, 10, 10, 10, 6, 1, 1, 6, 6, 1, 10, 6, 2, 6, 1, 10, 10, 2, 1, 2, 6, 1, 1, 2, 2, 2, 1, 1, 10, 6, 10, 2, 2, 6, 1, 2, 2, 6, 6, 2, 2, 6, 6, 10, 6, 1, 10, 10, 2, 6, 1, 10, 10, 2, 6, 10, 0, 10, 10, 1, 10, 10, 2, 10, 6, 10, 2, 6, 6, 10, 6, 2, 2, 10, 2, 6, 10, 2, 10, 2, 6, 6, 2, 6, 1, 1, 1, 6, 6, 1, 2, 6, 10, 10, 2, 10, 1, 9, 1, 10, 1, 10, 2, 6, 2, 2, 10, 10, 10, 6, 10, 10, 10, 2, 6, 2, 10, 5, 10, 10, 6, 6, 6, 6, 1, 2, 1, 10, 2, 2, 2, 2, 6, 2, 4, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 6, 2, 1, 2, 6, 1, 6, 10, 2, 10, 10, 1, 10, 6, 6, 2, 1, 10, 1, 6, 6, 2, 2, 10, 6, 2, 1, 10, 9, 0, 10, 9, 10, 2, 6, 6, 2, 1, 6, 1, 10, 10, 1, 1, 10, 6, 2, 1, 10, 1, 1, 6, 1, 10, 6, 6, 2, 1, 10, 6, 2, 1, 10, 1, 6, 6, 10, 2, 2, 6, 1, 10, 6, 10, 1, 10, 2, 10, 10, 1, 10, 6, 10, 6, 1, 10, 10, 1, 1, 10, 2, 6, 10, 1, 1, 2, 10, 1, 6, 2, 1, 2, 9, 1, 6, 6, 10, 10, 10, 10, 6, 6, 6, 10, 1, 2, 2, 2, 2, 1, 10, 1, 1, 6, 6, 10, 10, 1, 2, 2, 6, 6, 10, 1, 1, 1, 2, 2, 2, 6, 1, 2, 10, 10, 2, 1, 6, 1, 6, 6, 2, 2, 1, 6, 9, 6, 1, 10, 6, 6, 10, 10, 6, 1, 2, 2, 6, 10, 10, 2, 1, 2, 4, 10, 1, 10, 2, 2, 10, 1, 6, 6, 2, 2, 6, 6, 2, 1, 2, 1, 1, 2, 6, 10, 1, 6, 2, 4, 2, 4, 2, 10, 2, 1, 1, 2, 1, 2, 1, 2, 6, 1, 2, 6, 10, 6, 6, 2, 2, 4, 2, 10, 6, 6, 6, 2, 10, 10, 6, 2, 6, 0, 6, 1, 6, 10, 9, 6, 2, 1, 1, 2, 10, 10, 2, 2, 1, 6, 6, 1, 6, 2, 10, 6, 10, 10, 10, 2, 1, 10, 6, 10, 6, 10, 0, 1, 6, 1, 1, 6, 1, 1, 2, 10, 6, 1, 2, 1, 2, 10, 6, 6, 10, 2, 6, 10, 1, 2, 10, 2, 1, 6, 10, 10, 6, 6, 6, 10, 1, 10, 1, 10, 6, 2, 1, 10, 1, 10, 10, 1, 10, 6, 1, 6, 10, 6, 10, 10, 10, 1, 6, 10, 2, 1, 10, 6, 6, 2, 10, 1, 0, 2, 2, 2, 10, 10, 6, 6, 6, 6, 6, 2, 10, 2, 1, 6, 2, 1, 5, 2, 10, 1, 9, 6, 10, 10, 1, 6, 1, 6, 6, 2, 6, 10, 2, 6, 6, 6, 10, 6, 1, 1, 2, 10, 6, 1, 9, 6, 1, 1, 0, 2, 1, 1, 10, 2, 10, 1, 10, 1, 1, 2, 6, 10, 1, 1, 6, 6, 1, 6, 10, 6, 1, 6, 2, 6, 8, 10, 6, 1, 2, 2, 6, 1, 2, 2, 1, 10, 10, 1, 1, 1, 6, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 10, 2, 1, 10, 10, 6, 2, 6, 2, 10, 10, 6, 2, 1, 10, 1, 1, 10, 1, 6, 6, 10, 6, 6, 2, 6, 2, 1, 6, 6, 2, 10, 1, 10, 1, 2, 1, 2, 10, 6, 4, 6, 6, 2, 6, 9, 10, 6, 2, 10, 2, 10, 2, 10, 6, 6, 2, 2, 10, 6, 2, 8, 10, 10, 2, 6, 2, 6, 10, 2, 10, 1, 10, 6, 2, 6, 2, 10, 2, 2, 2, 1, 2, 10, 6, 10, 2, 1, 10, 6, 1, 6, 1, 6, 10, 1, 10, 6, 10, 6, 10, 2, 6, 2, 1, 6, 1, 2, 2, 10, 10, 1, 1, 2, 10, 10, 6, 10, 10, 1, 6, 6, 10, 6, 10, 10, 6, 2, 1, 6, 2, 2, 2, 10, 1, 1, 10, 10, 6, 10, 2, 10, 6, 6, 10, 6, 6, 10, 1, 2, 10, 10, 1, 10, 6, 1, 2, 6, 10, 2, 2, 6, 2, 10, 10, 6, 10, 1, 2, 1, 1, 1, 0, 1, 2, 6, 6, 5, 5, 1, 10, 2, 10, 6, 2, 6, 2, 2, 5, 6, 10, 1, 6, 6, 1, 1, 6, 2, 10, 6, 2, 1, 6, 6, 6, 10, 6, 1, 6, 1, 10, 2, 1, 6, 1, 10, 10, 1, 6, 1, 10, 9, 1, 10, 6, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 10, 6, 5, 2, 10, 10, 10, 6, 6, 6, 10, 10, 6, 10, 10, 2, 6, 10, 0, 1, 6, 6, 6, 6, 2, 6, 10, 2, 1, 2, 2, 6, 1, 6, 6, 4, 6, 6, 6, 6, 2, 2, 1, 2, 9, 2, 1, 10, 6, 10, 1, 6, 6, 1, 2, 1, 2, 2, 6, 1, 10, 10, 2, 6, 2, 1, 6, 6, 10, 1, 2, 2, 2, 2, 6, 1, 2, 10, 10, 6, 0, 6, 10, 6, 2, 1, 1, 10, 2, 1, 2, 6, 1, 2, 2, 1, 2, 6, 2, 6, 6, 10, 2, 6, 2, 10, 6, 5, 2, 1, 6, 6, 6, 1, 10, 6, 6, 6, 10, 1, 1, 10, 1, 9, 6, 1, 2, 2, 2, 10, 40, 10, 6, 1, 10, 6, 6, 2, 2, 1, 2, 2, 6, 2, 1, 6, 1, 6, 6, 1, 10, 2, 2, 10, 10, 1, 6, 6, 2, 2, 2, 6, 6, 6, 2, 2, 6, 1, 5, 6, 6, 6, 2, 1, 2, 2, 1, 6, 1, 6, 6, 5, 0, 2, 10, 1, 6, 2, 2, 2, 1, 1, 1, 6, 4, 10, 2, 10, 2, 2, 2, 6, 6, 1, 6, 2, 1, 2, 10, 10, 1, 6, 6, 10, 1, 2, 1, 6, 10, 10, 2, 2, 6, 1, 1, 6, 1, 4, 2, 2, 2, 2, 10, 6, 2, 2, 1, 2, 10, 10, 1, 6, 1, 6, 6, 2, 1, 6, 2, 6, 6, 2, 5, 2, 10, 10, 10, 2, 10, 10, 1, 6, 1, 10, 6, 6, 2, 1, 10, 10, 6, 2, 1, 10, 10, 10, 2, 10, 10, 1, 6, 10, 6, 1, 6, 2, 10, 10, 5, 2, 1, 1, 1, 6, 10, 1, 10, 10, 1, 2, 1, 2, 10, 2, 2, 6, 10, 10, 0, 2, 6, 1, 1, 10, 6, 6, 6, 10, 1, 1, 2, 10, 6, 1, 6, 1, 10, 1, 4, 6, 10, 10, 10, 1, 10, 1, 10, 2, 10, 6, 1, 6, 1, 6, 10, 2, 6, 6, 6, 6, 10, 1, 2, 2, 2, 1, 2, 6, 10, 2, 10, 1, 2, 10, 1, 6, 10, 1, 6, 2, 10, 7, 6, 2, 10, 6, 2, 1, 7, 1, 1, 6, 6, 2, 6, 6, 6, 10, 10, 1, 10, 10, 1, 2, 1, 10, 6, 1, 1, 5, 6, 6, 2, 6, 6, 6, 10, 1, 6, 10, 10, 10, 2, 6, 6, 1, 2, 10, 10, 10, 2, 2, 10, 6, 1, 10, 1, 10, 1, 2, 5, 1, 10, 10, 6, 2, 1, 10, 1, 10, 2, 6, 10, 6, 6, 6, 10, 10, 1, 1, 6, 2, 2, 1, 10, 2, 4, 2, 2, 5, 1, 6, 10, 10, 1, 6, 2, 2, 6, 6, 2, 10, 1, 1, 2, 2, 5, 1, 10, 6, 6, 6, 1, 2, 10, 1, 1, 2, 1, 6, 1, 6, 10, 10, 2, 1, 2, 6, 6, 10, 6, 2, 6, 6, 1, 6, 6, 6, 10, 6, 1, 6, 2, 2, 6, 1, 10, 10, 6, 2, 6, 1, 10, 6, 2, 6, 2, 2, 6, 10, 6, 6, 5, 2, 6, 10, 6, 1, 2, 1, 4, 6, 6, 2, 6, 10, 1, 1, 6, 2, 2, 10, 10, 2, 6, 1, 2, 2, 10, 1, 10, 1, 2, 6, 6, 1, 6, 2, 10, 10, 6, 6, 2, 1, 10, 2, 6, 2, 6, 10, 2, 2, 1, 10, 6, 6, 9, 2, 6, 1, 10, 1, 10, 10, 10, 1, 1, 6, 1, 10, 1, 10, 2, 10, 6, 2, 2, 2, 0, 2, 6, 6, 1, 10, 1, 9, 6, 10, 6, 1, 2, 6, 2, 6, 6, 1, 10, 1, 2, 10, 10, 10, 1, 2, 6, 1, 10, 10, 6, 1, 1, 2, 2, 10, 10, 6, 6, 1, 1, 10, 1, 2, 1, 2, 10, 6, 10, 10, 2, 6, 1, 2, 6, 1, 1, 6, 10, 6, 60, 1, 2, 10, 10, 2, 1, 2, 10, 10, 1, 1, 6, 1, 10, 6, 2, 1, 2, 10, 6, 10, 6, 10, 1, 10, 1, 10, 2, 10, 2, 10, 1, 1, 2, 10, 10, 2, 2, 2, 2, 1, 10, 2, 10, 2, 6, 2, 2, 6, 10, 1, 6, 6, 1, 10, 2, 6, 10, 2, 6, 10, 2, 2, 10, 1, 2, 1, 10, 10, 10, 2, 2, 1, 6, 5, 6, 2, 6, 10, 0, 1, 2, 1, 1, 6, 1, 10, 10, 9, 10, 10, 10, 10, 2, 6, 9, 1, 10, 9, 10, 1, 1, 10, 10, 1, 2, 2, 6, 1, 1, 6, 6, 10, 10, 2, 6, 6, 10, 10, 10, 2, 10, 10, 0, 6, 9, 1, 2, 6, 1, 2, 10, 2, 6, 2, 2, 6, 1, 2, 10, 6, 1, 6, 6, 2, 10, 1, 1, 1, 6, 1, 1, 2, 10, 2, 2, 10, 1, 2, 2, 4, 1, 2, 2, 1, 6, 6, 6, 2, 1, 1, 6, 2, 6, 2, 5, 1, 1, 2, 10, 2, 10, 1, 2, 2, 10, 10, 1, 1, 1, 9, 10, 2, 1, 2, 2, 10, 10, 9, 2, 1, 6, 10, 1, 10, 1, 10, 2, 10, 2, 2, 0, 1, 2, 10, 1, 2, 5, 2, 2, 10, 2, 1, 10, 1, 1, 6, 10, 1, 1, 4, 10, 2, 6, 10, 2, 1, 6, 10, 1, 1, 2, 2, 6, 6, 1, 6, 6, 6, 2, 1, 6, 2, 6, 2, 2, 1, 1, 1, 1, 2, 6, 1, 5, 1, 5, 1, 10, 6, 1, 6, 2, 2, 0, 6, 6, 6, 6, 1, 10, 10, 2, 6, 10, 1, 1, 2, 2, 6, 2, 10, 2, 1, 10, 6, 2, 1, 1, 6, 2, 1, 6, 6, 10, 10, 10, 1, 9, 1, 1, 0, 10, 6, 1, 1, 10, 10, 6, 1, 1, 1, 2, 6, 2, 6, 2, 6, 1, 1, 50, 2, 4, 6, 1, 6, 10, 10, 2, 10, 6, 10, 2, 10, 5, 2, 6, 1, 2, 10, 10, 10, 1, 10, 10, 10, 6, 10, 10, 2, 1, 2, 2, 10, 10, 6, 6, 6, 1, 0, 6, 10, 6, 1, 6, 10, 6, 1, 10, 1, 6, 1, 10, 10, 2, 2, 2, 10, 10, 6, 2, 6, 6, 6, 1, 1, 1, 10, 6, 6, 2, 10, 10, 2, 1, 1, 6, 10, 1, 6, 10, 6, 60, 1, 6, 2, 10, 6, 2, 1, 2, 10, 6, 2, 2, 10, 10, 50, 2, 1, 6, 10, 1, 10, 10, 10, 6, 1, 2, 6, 10, 6, 1, 2, 4, 1, 1, 10, 2, 2, 6, 2, 2, 2, 10, 10, 10, 2, 10, 2, 6, 6, 6, 1, 6, 10, 10, 2, 1, 2, 1, 6, 1, 10, 2, 10, 10, 10, 6, 2, 1, 1, 10, 2, 10, 1, 9, 1, 2, 10, 2, 10, 5, 2, 1, 10, 2, 1, 0, 1, 9, 6, 1, 10, 10, 2, 10, 10, 1, 1, 2, 2, 10, 10, 6, 2, 6, 6, 1, 2, 6, 2, 1, 1, 1, 6, 1, 2, 6, 10, 2, 10, 1, 10, 1, 10, 10, 2, 6, 2, 6, 10, 3, 6, 1, 6, 4, 2, 2, 2, 6, 1, 2, 10, 1, 6, 6, 2, 6, 1, 1, 1, 1, 10, 4, 10, 6, 2, 1, 2, 1, 2, 6, 1, 10, 2, 1, 10, 10, 9, 6, 6, 6, 10, 10, 1, 6, 10, 10, 1, 6, 6, 10, 10, 6, 1, 6, 6, 2, 2, 2, 6, 10, 2, 6, 10, 2, 9, 2, 2, 2, 2, 6, 2, 6, 1, 10, 2, 6, 9, 1, 6, 2, 2, 6, 10, 1, 6, 4, 6, 2, 1, 2, 2, 10, 10, 6, 1, 10, 1, 10, 1, 10, 1, 6, 1, 1, 10, 10, 6, 6, 10, 1, 10, 2, 2, 2, 4, 10, 10, 1, 2, 10, 6, 2, 1, 10, 10, 1, 2, 10, 1, 1, 1, 10, 2, 2, 6, 10, 10, 6, 2, 6, 2, 6, 10, 1, 6, 2, 6, 2, 1, 2, 4, 1, 1, 1, 2, 10, 2, 1, 6, 1, 10, 2, 2, 10, 6, 2, 10, 6, 6, 6, 2, 6, 1, 6, 6, 2, 2, 2, 1, 6, 10, 6, 1, 2, 2, 1, 2, 10, 1, 2, 2, 6, 2, 0, 2, 6, 10, 2, 10, 10, 2, 10, 6, 6, 1, 1, 10, 10, 2, 2, 10, 1, 10, 6, 1, 10, 1, 1, 2, 10, 2, 2, 10, 6, 2, 10, 6, 1, 2, 1, 2, 1, 6, 1, 2, 6, 1, 1, 6, 2, 6, 1, 10, 6, 2, 10, 2, 2, 6, 2, 10, 10, 10, 6, 2, 1, 6, 6, 2, 2, 6, 6, 1, 1, 6, 6, 5, 10, 10, 6, 6, 2, 10, 0, 10, 6, 2, 1, 1, 6, 6, 2, 10, 10, 10, 6, 1, 6, 1, 10, 2, 1, 1, 10, 2, 2, 2, 1, 6, 10, 1, 10, 6, 1, 6, 6, 6, 10, 2, 2, 1, 10, 6, 10, 1, 10, 1, 1, 10, 10, 1, 6, 10, 6, 2, 6, 1, 10, 1, 1, 6, 4, 2, 2, 6, 2, 2, 10, 6, 2, 1, 6, 2, 6, 10, 2, 0, 6, 1, 6, 1, 2, 10, 4, 2, 0, 6, 6, 1, 2, 10, 6, 2, 6, 2, 2, 1, 10, 2, 10, 10, 1, 10, 2, 1, 1, 1, 6, 6, 10, 6, 2, 1, 6, 10, 1, 2, 2, 2, 2, 6, 2, 10, 10, 10, 1, 1, 10, 1, 2, 2, 1, 6, 6, 1, 2, 2, 2, 2, 10, 2, 2, 10, 10, 0, 10, 2, 2, 1, 10, 1, 6, 2, 10, 10, 10, 6, 2, 10, 6, 10, 6, 10, 2, 6, 2, 6, 1, 2, 1, 1, 2, 6, 2, 6, 10, 6, 6, 1, 6, 1, 2, 6, 2, 6, 6, 6, 2, 6, 2, 2, 2, 1, 6, 6, 1, 2, 1, 2, 1, 2, 10, 6, 10, 10, 1, 6, 2, 6, 1, 1, 2, 10, 2, 6, 10, 2, 4, 6, 6, 1, 2, 1, 1, 1, 1, 2, 10, 6, 10, 1, 10, 10, 1, 1, 1, 6, 4, 10, 2, 10, 10, 1, 2, 2, 1, 10, 6, 1, 10, 10, 1, 6, 6, 60, 2, 6, 5, 1, 10, 2, 6, 10, 6, 1, 6, 2, 6, 2, 2, 10, 10, 2, 6, 10, 10, 6, 2, 10, 10, 4, 6, 6, 1, 10, 10, 6, 10, 10, 6, 10, 1, 1, 6, 6, 2, 10, 10, 10, 6, 6, 10, 1, 6, 10, 6, 2, 1, 1, 1, 10, 6, 2, 6, 10, 2, 6, 1, 2, 10, 6, 1, 6, 6, 2, 6, 6, 1, 2, 10, 2, 2, 6, 2, 2, 10, 6, 1, 10, 10, 2, 2, 10, 10, 10, 1, 2, 1, 6, 10, 6, 2, 2, 6, 6, 6, 6, 2, 10, 10, 10, 6, 1, 6, 2, 1, 6, 10, 2, 0, 10, 6, 1, 2, 2, 2, 10, 1, 10, 6, 9, 2, 1, 4, 10, 6, 1, 6, 2, 6, 10, 4, 6, 1, 6, 2, 2, 10, 1, 1, 1, 1, 2, 1, 10, 1, 1, 10, 6, 2, 6, 2, 10, 10, 2, 2, 2, 1, 9, 1, 1, 10, 0, 6, 1, 2, 6, 2, 1, 1, 1, 10, 10, 6, 2, 2, 1, 6, 6, 1, 10, 2, 10, 10, 2, 6, 6, 10, 10, 10, 10, 2, 10, 1, 10, 2, 2, 1, 2, 10, 10, 1, 2, 1, 1, 1, 4, 1, 1, 6, 6, 2, 10, 2, 2, 6, 2, 1, 6, 10, 2, 6, 10, 6, 2, 2, 6, 10, 10, 10, 1, 1, 10, 2, 10, 1, 6, 1, 2, 10, 10, 2, 2, 2, 1, 2, 6, 10, 2, 1, 6, 1, 5, 10, 2, 6, 10, 2, 10, 2, 10, 10, 6, 10, 10, 1, 2, 6, 6, 1, 2, 1, 6, 1, 2, 6, 6, 1, 10, 2, 6, 10, 5, 10, 10, 6, 5, 6, 2, 10, 10, 1, 1, 1, 6, 10, 6, 6, 1, 2, 10, 2, 6, 10, 2, 1, 10, 6, 10, 2, 6, 1, 1, 10, 1, 1, 10, 1, 2, 2, 1, 10, 10, 6, 2, 1, 10, 10, 1, 1, 1, 2, 6, 2, 6, 1, 2, 10, 10, 10, 1, 2, 0, 1, 1, 1, 10, 2, 1, 6, 6, 10, 6, 6, 10, 1, 1, 1, 6, 2, 1, 6, 10, 6, 1, 10, 10, 1, 6, 1, 1, 6, 2, 2, 10, 6, 1, 6, 2, 5, 1, 2, 10, 1, 10, 1, 10, 6, 6, 1, 2, 1, 2, 10, 2, 1, 6, 1, 1, 2, 2, 6, 2, 1, 1, 10, 6, 10, 10, 6, 2, 1, 10, 6, 2, 10, 10, 2, 10, 10, 10, 2, 5, 6, 1, 1, 2, 2, 6, 6, 10, 10, 2, 2, 10, 1, 2, 10, 10, 6, 1, 10, 1, 1, 2, 10, 10, 10, 6, 6, 10, 10, 2, 10, 2, 2, 10, 6, 10, 1, 10, 1, 2, 5, 10, 2, 10, 10, 2, 1, 6, 1, 1, 2, 2, 9, 2, 10, 10, 6, 1, 1, 0, 2, 6, 10, 10, 10, 2, 6, 6, 4, 6, 6, 1, 1, 6, 6, 2, 1, 1, 6, 1, 1, 10, 6, 2, 2, 6, 2, 2, 10, 2, 1, 6, 2, 10, 4, 2, 2, 1, 1, 6, 2, 2, 1, 10, 2, 1, 10, 10, 2, 1, 1, 1, 2, 6, 1, 10, 2, 2, 2, 2, 1, 10, 2, 10, 2, 2, 1, 10, 2, 1, 10, 1, 6, 10, 2, 1, 2, 1, 6, 10, 2, 6, 10, 1, 2, 1, 4, 6, 2, 1, 2, 6, 1, 6, 10, 0, 1, 10, 6, 2, 10, 2, 2, 6, 6, 6, 1, 1, 1, 10, 1, 2, 6, 1, 2, 10, 1, 10, 2, 1, 2, 2, 2, 10, 1, 2, 1, 10, 10, 6, 10, 6, 2, 6, 6, 1, 10, 6, 2, 1, 6, 2, 6, 6, 10, 6, 1, 6, 1, 10, 1, 1, 1, 10, 10, 10, 1, 6, 10, 9, 2, 6, 10, 6, 1, 2, 6, 1, 1, 2, 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6, 6, 10, 1, 6, 1, 2, 2, 10, 6, 1, 1, 2, 2, 2, 10, 2, 10, 10, 6, 1, 6, 1, 2, 2, 10, 1, 6, 10, 2, 10, 10, 10, 2, 6, 10, 1, 6, 2, 1, 1, 5, 1, 1, 1, 2, 10, 2, 10, 10, 8, 6, 1, 2, 1, 10, 2, 10, 6, 10, 10, 2, 1, 2, 2, 10, 1, 10, 1, 6, 10, 10, 2, 10, 1, 2, 6, 10, 6, 1, 1, 10, 1, 4, 10, 2, 10, 6, 10, 2, 1, 2, 1, 2, 10, 10, 1, 1, 10, 1, 6, 1, 10, 6, 2, 1, 2, 2, 2, 6, 2, 2, 10, 10, 6, 2, 10, 10, 2, 10, 6, 6, 6, 6, 2, 4, 2, 9, 6, 2, 1, 10, 10, 1, 1, 2, 2, 1, 6, 10, 1, 10, 1, 1, 6, 2, 2, 6, 10, 2, 10, 6, 10, 2, 10, 4, 6, 6, 10, 10, 10, 2, 2, 10, 2, 2, 2, 6, 10, 2, 10, 1, 6, 2, 2, 2, 1, 10, 1, 10, 1, 1, 1, 2, 1, 2, 6, 10, 10, 6, 2, 2, 6, 2, 6, 1, 2, 2, 10, 2, 2, 1, 6, 10, 2, 10, 2, 2, 1, 10, 10, 1, 10, 5, 10, 10, 1, 6, 1, 6, 10, 1, 1, 6, 10, 1, 2, 10, 1, 1, 1, 6, 6, 6, 6, 10, 2, 2, 1, 2, 1, 2, 1, 2, 6, 6, 10, 1, 2, 6, 10, 1, 1, 6, 6, 10, 2, 1, 10, 1, 6, 2, 2, 6, 2, 2, 6, 2, 1, 2, 1, 2, 10, 10, 1, 1, 2, 2, 6, 6, 1, 1, 2, 10, 6, 2, 10, 2, 9, 1, 1, 1, 6, 2, 1, 1, 1, 1, 10, 10, 1, 10, 10, 2, 6, 10, 6, 1, 10, 10, 6, 4, 6, 2, 6, 1, 2, 6, 6, 6, 2, 6, 2, 1, 2, 1, 2, 10, 2, 1, 1, 2, 2, 2, 6, 2, 1, 6, 10, 1, 1, 10, 2, 2, 10, 2, 1, 6, 6, 1, 10, 10, 6, 1, 4, 2, 10, 6, 6, 2, 10, 6, 6, 10, 10, 1, 2, 10, 10, 2, 1, 1, 1, 6, 1, 6, 10, 1, 10, 1, 10, 6, 2, 10, 6, 10, 1, 1, 1, 10, 2, 10, 2, 1, 6, 1, 6, 10, 6, 1, 10, 10, 2, 6, 6, 1, 2, 1, 1, 6, 1, 2, 2, 6, 10, 1, 1, 1, 2, 2, 1, 1, 10, 1, 1, 1, 6, 2, 6, 6, 2, 2, 1, 1, 10, 10, 4, 1, 2, 2, 10, 2, 2, 10, 6, 6, 10, 6, 2, 10, 6, 6, 1, 6, 1, 2, 1, 2, 10, 6, 6, 10, 10, 2, 6, 1, 10, 10, 6, 6, 2, 1, 1, 6, 6, 0, 10, 2, 6, 10, 1, 1, 2, 10, 2, 10, 6, 6, 5, 1, 2, 2, 2, 1, 4, 6, 1, 2, 4, 6, 6, 10, 1, 2, 10, 4, 10, 1, 1, 6, 1, 6, 10, 4, 6, 10, 1, 2, 10, 2, 6, 6, 6, 10, 1, 6, 10, 2, 2, 2, 10, 6, 10, 1, 6, 10, 10, 6, 1, 1, 10, 6, 10, 2, 5, 10, 10, 10, 2, 2, 2, 2, 6, 6, 1, 2, 2, 1, 2, 2, 1, 1, 10, 6, 2, 10, 10, 2, 2, 10, 6, 6, 10, 6, 1, 10, 1, 6, 6, 6, 9, 10, 10, 10, 2, 10, 6, 2, 5, 1, 6, 10, 2, 6, 2, 6, 1, 10, 1, 10, 1, 2, 2, 2, 1, 6, 2, 1, 1, 6, 2, 6, 10, 6, 1, 10, 6, 6, 10, 1, 10, 2, 10, 6, 10, 1, 6, 1, 6, 10, 10, 1, 2, 1, 6, 10, 4, 10, 10, 2, 10, 6, 2, 2, 4, 6, 10, 2, 2, 6, 2, 1, 2, 1, 6, 6, 6, 6, 10, 6, 10, 6, 10, 6, 10, 2, 10, 1, 1, 1, 2, 1, 1, 6, 2, 6, 6, 9, 10, 2, 6, 6, 1, 10, 10, 2, 2, 1, 1, 6, 6, 2, 1, 10, 1, 2, 2, 1, 6, 6, 1, 6, 2, 2, 6, 2, 2, 6, 1, 10, 2, 1, 6, 2, 6, 2, 2, 2, 6, 2, 1, 2, 6, 1, 1, 2, 2, 6, 2, 6, 6, 6, 2, 1, 1, 10, 1, 6, 6, 2, 1, 2, 6, 10, 10, 6, 2, 2, 10, 2, 6, 2, 1, 6, 10, 9, 2, 0, 2, 10, 2, 10, 10, 6, 1, 1, 1, 2, 1, 1, 10, 10, 1, 1, 2, 2, 10, 10, 10, 2, 1, 1, 2, 2, 1, 6, 6, 1, 6, 10, 1, 10, 1, 2, 4, 1, 1, 10, 1, 2, 1, 2, 10, 1, 1, 10, 6, 10, 5, 6, 2, 10, 10, 1, 10, 1, 1, 6, 4, 2, 2, 6, 2, 2, 2, 2, 1, 6, 10, 10, 6, 10, 1, 6, 10, 1, 1, 6, 9, 10, 1, 10, 10, 2, 10, 1, 10, 2, 10, 2, 4, 2, 6, 6, 6, 2, 6, 6, 1, 10, 6, 10, 2, 1, 10, 1, 6, 10, 2, 6, 2, 1, 10, 6, 6, 1, 2, 6, 10, 6, 2, 1, 1, 1, 6, 1, 1, 9, 1, 10, 1, 2, 1, 1, 1, 10, 6, 10, 2, 6, 6, 6, 2, 2, 10, 2, 10, 1, 6, 1, 10, 10, 1, 10, 1, 2, 2, 10, 6, 10, 2, 10, 6, 10, 10, 6, 10, 2, 6, 2, 2, 9, 2, 6, 2, 10, 2, 10, 1, 1, 10, 5, 1, 4, 10, 6, 1, 1, 6, 2, 10, 2, 2, 10, 1, 6, 10, 10, 10, 10, 6, 6, 6, 2, 10, 2, 6, 2, 1, 1, 6, 6, 1, 1, 2, 6, 6, 10, 6, 6, 6, 2, 2, 2, 5, 2, 2, 6, 10, 6, 2, 2, 1, 10, 1, 1, 1, 10, 9, 10, 2, 10, 2, 1, 6, 1, 1, 1, 9, 2, 5, 1, 2, 6, 2, 2, 6, 1, 6, 2, 6, 1, 0, 2, 1, 10, 1, 2, 10, 0, 1, 2, 10, 10, 2, 6, 2, 2, 5, 10, 2, 2, 10, 2, 5, 10, 1, 6, 6, 1, 2, 10, 2, 6, 2, 10, 1, 6, 1, 6, 6, 6, 1, 1, 6, 10, 10, 4, 1, 1, 1, 10, 6, 2, 1, 10, 2, 2, 6, 6, 1, 10, 6, 2, 6, 10, 1, 6, 6, 10, 0, 6, 6, 2, 10, 6, 1, 6, 2, 6, 2, 10, 0, 2, 2, 6, 2, 1, 1, 1, 10, 10, 2, 6, 2, 6, 6, 2, 2, 1, 6, 2, 6, 6, 6, 1, 2, 6, 5, 6, 10, 2, 2, 10, 1, 9, 6, 6, 2, 6, 6, 10, 10, 1, 1, 2, 10, 1, 6, 10, 6, 10, 2, 5, 2, 1, 10, 0, 2, 4, 6, 1, 6, 6, 6, 2, 1, 2, 6, 1, 1, 2, 10, 10, 10, 2, 2, 1, 1, 6, 6, 10, 1, 6, 1, 10, 6, 10, 10, 6, 10, 10, 6, 1, 10, 10, 2, 6, 10, 6, 2, 2, 1, 1, 1, 1, 1, 10, 1, 6, 6, 2, 1, 2, 1, 10, 6, 10, 10, 2, 2, 1, 1, 10, 4, 1, 2, 1, 1, 6, 1, 10, 2, 10, 6, 10, 10, 2, 10, 2, 2, 1, 2, 6, 1, 5, 1, 2, 2, 2, 2, 6, 6, 1, 6, 6, 6, 6, 5, 2, 6, 2, 6, 1, 2, 2, 6, 2, 1, 10, 9, 6, 10, 1, 2, 6, 1, 1, 10, 10, 2, 1, 6, 2, 2, 2, 2, 10, 1, 2, 6, 1, 1, 2, 6, 10, 10, 1, 1, 1, 1, 6, 2, 6, 6, 1, 4, 2, 6, 2, 10, 2, 2, 6, 1, 1, 6, 6, 2, 6, 2, 4, 6, 1, 10, 2, 2, 1, 10, 9, 6, 10, 6, 2, 6, 10, 6, 1, 6, 6, 2, 6, 10, 1, 5, 2, 6, 1, 0, 10, 9, 1, 6, 10, 10, 6, 6, 6, 1, 6, 1, 2, 1, 1, 10, 10, 6, 10, 1, 1, 6, 10, 2, 1, 10, 1, 6, 2, 10, 1, 1, 10, 1, 6, 2, 6, 1, 6, 6, 10, 6, 6, 10, 2, 2, 6, 2, 1, 10, 6, 6, 6, 10, 10, 6, 10, 2, 6, 10, 1, 1, 6, 10, 10, 10, 6, 1, 2, 2, 10, 2, 1, 1, 6, 2, 10, 10, 6, 2, 6, 1, 2, 10, 10, 10, 6, 1, 2, 1, 6, 10, 1, 10, 1, 2, 2, 2, 1, 2, 10, 6, 6, 1, 2, 6, 10, 1, 2, 10, 2, 9, 6, 1, 1, 10, 1, 2, 1, 6, 2, 10, 10, 10, 2, 10, 1, 1, 1, 1, 10, 1, 2, 6, 2, 10, 6, 10, 6, 10, 6, 6, 1, 1, 2, 10, 6, 6, 6, 10, 2, 2, 6, 2, 6, 6, 0, 1, 10, 2, 6, 10, 2, 2, 2, 6, 1, 6, 10, 6, 2, 1, 9, 6, 10, 6, 10, 2, 2, 1, 10, 5, 2, 0, 6, 1, 10, 2, 2, 10, 10, 10, 6, 2, 10, 1, 10, 10, 2, 10, 6, 10, 2, 6, 2, 2, 6, 6, 2, 1, 6, 2, 10, 10, 2, 6, 10, 10, 10, 1, 2, 1, 10, 6, 2, 6, 6, 10, 1, 10, 1, 1, 2, 1, 6, 2, 10, 6, 2, 2, 1, 10, 2, 4, 1, 1, 1, 10, 1, 2, 6, 1, 6, 6, 2, 6, 2, 6, 10, 10, 2, 6, 10, 1, 2, 10, 2, 0, 2, 10, 9, 10, 6, 10, 2, 10, 10, 1, 2, 10, 6, 1, 1, 10, 5, 4, 2, 6, 6, 10, 1, 1, 6, 1, 10, 1, 6, 2, 1, 10, 6, 6, 1, 10, 6, 6, 1, 2, 1, 5, 10, 6, 10, 6, 1, 1, 10, 6, 1, 1, 1, 2, 10, 2, 6, 1, 10, 6, 1, 10, 10, 0, 10, 0, 6, 6, 2, 6, 2, 10, 6, 10, 10, 2, 2, 6, 10, 10, 6, 2, 10, 1, 10, 10, 10, 10, 6, 1, 6, 2, 1, 2, 6, 2, 2, 1, 1, 10, 6, 2, 1, 2, 6, 6, 10, 1, 2, 6, 1, 1, 10, 10, 2, 10, 10, 6, 1, 10, 10, 10, 10, 10, 2, 10, 1, 6, 2, 10, 1, 10, 1, 10, 6, 2, 2, 2, 1, 2, 10, 6, 2, 6, 10, 10, 10, 2, 10, 2, 2, 6, 2, 6, 1, 10, 1, 2, 1, 10, 2, 10, 10, 1, 2, 1, 2, 1, 2, 0, 2, 10, 6, 10, 2, 2, 2, 1, 1, 5, 6, 10, 10, 1, 10, 6, 6, 6, 6, 6, 10, 9, 6, 2, 1, 10, 10, 1, 2, 2, 2, 2, 2, 10, 6, 2, 2, 5, 10, 2, 2, 1, 2, 2, 10, 10, 10, 2, 1, 1, 1, 1, 6, 6, 2, 2, 2, 0, 6, 1, 10, 10, 6, 1, 1, 10, 1, 2, 10, 6, 4, 1, 10, 1, 10, 2, 10, 6, 2, 6, 10, 1, 1, 10, 6, 1, 10, 10, 2, 1, 2, 1, 10, 2, 6, 2, 10, 10, 6, 2, 6, 1, 2, 0, 1, 6, 10, 6, 6, 10, 2, 10, 2, 10, 1, 2, 10, 10, 6, 2, 6, 2, 1, 1, 10, 1, 6, 2, 6, 1, 4, 6, 10, 4, 2, 4, 1, 1, 1, 2, 1, 10, 2, 10, 6, 1, 1, 10, 1, 6, 10, 6, 10, 1, 2, 10, 9, 6, 10, 6, 2, 1, 1, 4, 6, 10, 2, 1, 1, 6, 2, 10, 6, 2, 6, 2, 1, 2, 1, 10, 6, 1, 1, 6, 6, 2, 10, 10, 6, 2, 1, 6, 2, 6, 6, 2, 2, 6, 2, 1, 1, 2, 10, 6, 1, 6, 2, 2, 6, 6, 10, 6, 10, 10, 10, 2, 10, 1, 6, 2, 10, 1, 1, 1, 6, 10, 6, 6, 2, 1, 2, 10, 6, 10, 6, 1, 2, 1, 2, 10, 6, 2, 1, 10, 10, 10, 2, 2, 2, 2, 2, 10, 0, 2, 2, 6, 2, 5, 6, 10, 1, 2, 2, 2, 6, 6, 10, 10, 1, 10, 6, 2, 10, 1, 2, 6, 6, 10, 6, 1, 10, 2, 1, 1, 1, 2, 6, 1, 6, 4, 1, 2, 6, 6, 1, 6, 10, 10, 1, 1, 6, 1, 6, 9, 4, 6, 0, 2, 2, 10, 10, 6, 10, 10, 6, 1, 1, 10, 6, 10, 10, 1, 4, 10, 2, 6, 4, 2, 1, 10, 0, 1, 10, 10, 6, 2, 2, 40, 6, 2, 10, 1, 2, 2, 2, 6, 6, 2, 1, 10, 2, 1, 6, 2, 1, 10, 10, 1, 6, 6, 2, 1, 10, 6, 1, 1, 1, 1, 1, 10, 2, 6, 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6, 4, 5, 2, 9, 1, 6, 10, 10, 4, 10, 2, 10, 2, 1, 6, 2, 6, 1, 6, 10, 1, 2, 2, 6, 10, 2, 6, 10, 1, 2, 10, 1, 6, 6, 10, 2, 2, 6, 2, 1, 6, 6, 6, 10, 1, 1, 10, 6, 6, 10, 10, 10, 10, 6, 6, 10, 6, 6, 10, 6, 6, 6, 2, 2, 1, 2, 2, 10, 2, 10, 6, 2, 1, 2, 1, 2, 1, 6, 1, 5, 2, 10, 2, 6, 1, 1, 10, 1, 10, 1, 1, 10, 6, 1, 1, 1, 10, 1, 1, 1, 6, 1, 2, 1, 2, 6, 10, 6, 10, 6, 10, 2, 1, 10, 1, 2, 10, 2, 3, 1, 6, 5, 1, 1, 1, 6, 6, 6, 6, 2, 0, 2, 2, 1, 6, 1, 6, 6, 2, 1, 1, 2, 6, 4, 10, 6, 6, 2, 2, 10, 10, 1, 10, 2, 10, 2, 6, 1, 1, 6, 6, 10, 2, 6, 6, 6, 6, 6, 2, 10, 1, 10, 2, 1, 2, 1, 10, 2, 6, 6, 1, 2, 2, 2, 1, 1, 1, 10, 6, 10, 6, 2, 6, 0, 1, 2, 2, 1, 1, 2, 2, 10, 1, 6, 10, 10, 1, 10, 10, 6, 2, 6, 6, 1, 10, 1, 2, 6, 6, 1, 2, 6, 10, 2, 2, 2, 10, 0, 2, 2, 6, 4, 2, 2, 10, 2, 6, 6, 6, 10, 1, 6, 1, 6, 10, 6, 1, 6, 10, 1, 10, 6, 10, 10, 10, 10, 1, 10, 10, 6, 0, 2, 2, 10, 1, 2, 10, 2, 6, 1, 1, 10, 6, 2, 6, 2, 1, 10, 10, 2, 2, 6, 2, 2, 1, 2, 2, 2, 1, 1, 2, 10, 2, 8, 2, 2, 2, 2, 2, 2, 6, 1, 10, 10, 6, 2, 1, 2, 2, 6, 1, 1, 2, 6, 10, 10, 2, 1, 6, 6, 2, 1, 10, 1, 2, 6, 2, 6, 6, 6, 6, 2, 6, 10, 1, 10, 1, 2, 2, 10, 2, 1, 2, 10, 10, 1, 10, 1, 10, 2, 1, 1, 1, 10, 2, 10, 2, 6, 1, 2, 1, 10, 1, 10, 1, 2, 10, 2, 6, 2, 10, 6, 10, 2, 6, 2, 6, 10, 10, 6, 2, 1, 10, 10, 2, 10, 6, 6, 10, 2, 2, 6, 10, 6, 6, 1, 6, 1, 10, 1, 10, 10, 1, 10, 6, 6, 10, 1, 1, 2, 2, 2, 6, 2, 1, 5, 10, 10, 10, 1, 6, 4, 2, 6, 10, 2, 1, 6, 10, 6, 10, 6, 1, 2, 10, 10, 2, 9, 1, 2, 10, 1, 10, 10, 6, 1, 2, 2, 1, 10, 6, 2, 10, 10, 10, 6, 1, 2, 10, 6, 10, 10, 1, 1, 6, 2, 10, 2, 2, 2, 2, 6, 1, 10, 10, 2, 2, 1, 1, 6, 10, 10, 1, 1, 2, 2, 6, 6, 6, 1, 10, 2, 2, 1, 10, 6, 10, 2, 5, 6, 10, 1, 10, 2, 2, 1, 10, 2, 2, 10, 1, 6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 2, 1, 10, 6, 2, 6, 1, 1, 1, 2, 6, 2, 1, 10, 10, 2, 2, 10, 6, 10, 10, 2, 1, 10, 6, 1, 0, 2, 2, 10, 6, 4, 1, 2, 6, 10, 10, 10, 2, 2, 2, 50, 6, 10, 10, 1, 2, 10, 10, 10, 4, 10, 10, 6, 6, 10, 10, 9, 2, 10, 6, 10, 1, 10, 6, 10, 6, 6, 2, 10, 1, 2, 2, 10, 6, 6, 2, 6, 10, 2, 10, 6, 2, 10, 1, 2, 10, 2, 6, 1, 10, 1, 10, 6, 5, 6, 6, 2, 2, 6, 2, 1, 10, 6, 1, 6, 6, 2, 2, 6, 1, 2, 6, 2, 6, 1, 10, 10, 2, 10, 1, 10, 1, 6, 1, 10, 6, 6, 6, 2, 2, 2, 6, 2, 1, 2, 10, 6, 6, 6, 10, 10, 5, 1, 6, 1, 10, 1, 40, 6, 10, 2, 4, 6, 1, 6, 6, 1, 10, 6, 2, 6, 1, 6, 6, 6, 10, 2, 2, 1, 2, 0, 10, 6, 1, 1, 6, 1, 2, 6, 1, 6, 2, 2, 6, 2, 1, 2, 10, 1, 10, 6, 1, 6, 6, 1, 6, 10, 2, 2, 2, 0, 10, 2, 1, 1, 2, 10, 1, 10, 6, 10, 2, 10, 2, 2, 6, 1, 6, 6, 2, 6, 6, 10, 1, 5, 10, 1, 10, 1, 1, 2, 6, 6, 2, 2, 2, 2, 2, 10, 2, 10, 2, 1, 6, 10, 2, 0, 10, 1, 4, 1, 1, 2, 10, 1, 6, 6, 6, 6, 1, 2, 6, 1, 6, 1, 6, 6, 2, 6, 0, 1, 1, 2, 1, 6, 10, 2, 10, 1, 10, 10, 1, 10, 10, 2, 2, 6, 10, 2, 5, 1, 10, 1, 2, 6, 1, 2, 10, 5, 6, 10, 6, 1, 1, 1, 2, 4, 2, 2, 1, 10, 6, 2, 1, 2, 2, 1, 10, 10, 1, 1, 10, 10, 6, 2, 10, 10, 0, 10, 1, 2, 2, 2, 1, 1, 0, 6, 6, 10, 10, 5, 2, 10, 10, 2, 1, 10, 1, 10, 6, 1, 10, 1, 6, 10, 1, 2, 1, 1, 1, 10, 10, 2, 6, 1, 6, 6, 6, 2, 6, 10, 10, 6, 6, 10, 6, 2, 6, 1, 6, 1, 1, 6, 1, 6, 1, 2, 6, 10, 1, 6, 10, 10, 6, 10, 6, 6, 10, 10, 1, 10, 6, 1, 0, 6, 2, 1, 6, 10, 10, 6, 1, 10, 2, 1, 6, 10, 10, 10, 10, 10, 2, 2, 2, 5, 2, 10, 2, 10, 6, 1, 6, 10, 2, 6, 1, 1, 2, 1, 2, 1, 1, 10, 6, 2, 6, 10, 10, 2, 2, 1, 10, 1, 10, 6, 10, 1, 1, 6, 6, 10, 1, 6, 2, 6, 10, 1, 1, 4, 6, 1, 2, 1, 10, 2, 1, 2, 1, 10, 1, 1, 10, 2, 1, 6, 6, 10, 10, 1, 2, 10, 2, 10, 6, 10, 6, 2, 2, 10, 2, 10, 10, 2, 6, 6, 6, 6, 1, 10, 6, 6, 1, 6, 2, 10, 10, 6, 2, 6, 1, 6, 2, 10, 1, 1, 10, 2, 1, 2, 10, 10, 6, 6, 2, 10, 1, 1, 10, 10, 2, 10, 1, 1, 10, 6, 2, 10, 10, 2, 1, 1, 6, 10, 10, 6, 1, 2, 6, 6, 1, 10, 6, 1, 6, 6, 10, 10, 6, 6, 6, 1, 2, 2, 1, 6, 4, 2, 2, 2, 6, 6, 2, 1, 2, 2, 2, 2, 2, 6, 10, 10, 1, 1, 2, 1, 1, 5, 6, 6, 6, 1, 2, 10, 2, 10, 2, 6, 2, 1, 2, 6, 6, 2, 1, 1, 1, 1, 2, 6, 6, 10, 10, 1, 1, 10, 10, 2, 6, 10, 10, 10, 1, 10, 1, 10, 2, 10, 1, 10, 10, 10, 1, 2, 1, 1, 1, 1, 2, 2, 2, 6, 1, 2, 2, 2, 2, 2, 6, 5, 10, 1, 10, 2, 1, 10, 6, 10, 2, 6, 2, 10, 1, 1, 9, 10, 1, 10, 2, 6, 1, 1, 1, 1, 1, 5, 1, 1, 6, 6, 10, 2, 6, 6, 1, 2, 10, 2, 1, 2, 6, 10, 1, 2, 2, 1, 6, 1, 1, 2, 9, 1, 2, 6, 6, 2, 1, 10, 1, 1, 1, 6, 1, 6, 6, 10, 10, 10, 10, 1, 4, 2, 10, 2, 6, 10, 1, 10, 5, 2, 8, 2, 10, 1, 10, 2, 2, 1, 10, 2, 2, 1, 1, 6, 1, 10, 2, 2, 6, 10, 1, 2, 2, 10, 10, 2, 5, 1, 10, 1, 10, 4, 1, 2, 6, 6, 1, 2, 9, 6, 6, 10, 1, 1, 10, 10, 0, 1, 6, 10, 10, 10, 6, 1, 6, 6, 6, 2, 10, 1, 6, 1, 6, 2, 10, 6, 0, 10, 1, 1, 6, 2, 2, 2, 1, 1, 1, 2, 6, 2, 6, 10, 2, 6, 6, 10, 6, 10, 2, 1, 1, 6, 6, 2, 1, 2, 1, 10, 6, 2, 1, 10, 2, 10, 1, 10, 10, 1, 6, 5, 10, 6, 10, 1, 2, 6, 1, 10, 2, 2, 1, 1, 1, 1, 10, 6, 2, 1, 6, 1, 10, 10, 1, 10, 1, 1, 6, 2, 10, 2, 2, 2, 6, 10, 6, 2, 10, 10, 10, 6, 6, 1, 6, 10, 2, 6, 5, 2, 1, 1, 1, 6, 10, 2, 10, 6, 2, 6, 10, 10, 10, 10, 10, 10, 2, 10, 2, 1, 1, 1, 1, 1, 2, 2, 6, 1, 2, 10, 10, 1, 1, 10, 10, 10, 10, 10, 6, 10, 6, 1, 1, 6, 10, 6, 10, 1, 10, 1, 1, 1, 2, 2, 6, 6, 6, 2, 6, 6, 1, 1, 1, 6, 2, 6, 6, 1, 1, 1, 2, 1, 10, 6, 1, 1, 10, 1, 10, 1, 1, 2, 2, 10, 10, 10, 2, 5, 6, 10, 2, 1, 2, 10, 2, 6, 1, 1, 10, 1, 2, 9, 1, 10, 2, 6, 6, 2, 6, 10, 10, 4, 10, 6, 10, 1, 6, 2, 10, 1, 6, 6, 1, 6, 10, 1, 6, 1, 6, 10, 5, 10, 6, 10, 1, 6, 2, 1, 6, 1, 6, 1, 2, 10, 10, 10, 2, 2, 6, 1, 1, 6, 2, 2, 1, 6, 2, 6, 2, 10, 9, 10, 2, 1, 6, 6, 6, 10, 1, 2, 6, 9, 2, 6, 1, 6, 6, 6, 2, 6, 2, 6, 10, 2, 2, 6, 0, 1, 10, 10, 1, 1, 1, 1, 10, 2, 1, 2, 1, 1, 10, 2, 6, 4, 4, 2, 10, 6, 1, 2, 1, 10, 1, 6, 6, 6, 6, 6, 10, 1, 2, 10, 2, 2, 10, 10, 6, 2, 1, 6, 6, 2, 10, 10, 2, 6, 1, 2, 10, 6, 6, 10, 2, 6, 2, 6, 6, 1, 6, 10, 2, 2, 6, 6, 6, 10, 2, 6, 10, 2, 2, 6, 2, 6, 6, 1, 6, 10, 6, 6, 6, 1, 2, 1, 2, 10, 6, 1, 2, 10, 10, 2, 2, 6, 6, 6, 6, 2, 6, 10, 2, 1, 6, 2, 10, 2, 10, 2, 10, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 6, 2, 6, 1, 6, 10, 6, 10, 2, 1, 1, 2, 10, 1, 1, 6, 10, 2, 1, 2, 1, 2, 6, 2, 2, 2, 2, 10, 2, 10, 10, 2, 1, 1, 6, 2, 4, 10, 1, 1, 1, 2, 1, 2, 6, 6, 2, 2, 6, 6, 2, 4, 2, 10, 10, 2, 10, 6, 6, 2, 1, 6, 6, 2, 2, 6, 2, 2, 10, 2, 10, 1, 1, 6, 2, 1, 2, 6, 6, 1, 1, 2, 1, 1, 2, 2, 1, 6, 6, 6, 10, 6, 10, 2, 10, 10, 1, 2, 1, 10, 1, 1, 2, 1, 1, 2, 6, 2, 6, 10, 2, 10, 10, 6, 10, 10, 10, 10, 10, 1, 2, 2, 1, 6, 1, 4, 6, 1, 2, 6, 10, 2, 2, 2, 6, 6, 1, 1, 10, 6, 6, 1, 1, 1, 2, 1, 10, 10, 2, 10, 11, 6, 6, 10, 1, 1, 10, 1, 2, 2, 6, 6, 2, 10, 40, 2, 6, 1, 2, 10, 1, 6, 1, 6, 6, 1, 6, 10, 2, 6, 10, 10, 6, 2, 10, 2, 6, 1, 10, 1, 10, 1, 6, 10, 6, 2, 10, 2, 2, 10, 6, 2, 2, 6, 6, 1, 1, 10, 1, 1, 3, 0, 6, 1, 6, 10, 6, 2, 2, 1, 10, 9, 1, 1, 2, 1, 1, 10, 2, 10, 1, 10, 6, 1, 1, 1, 2, 2, 2, 2, 10, 2, 10, 6, 6, 1, 2, 10, 1, 6, 3, 1, 2, 2, 1, 10, 9, 6, 1, 6, 1, 1, 1, 6, 1, 6, 1, 2, 10, 10, 10, 10, 6, 10, 6, 1, 1, 10, 10, 10, 6, 2, 10, 2, 10, 1, 1, 6, 6, 6, 6, 1, 10, 1, 2, 10, 6, 10, 1, 6, 6, 2, 1, 6, 2, 10, 10, 2, 1, 1, 6, 2, 1, 6, 2, 1, 1, 2, 2, 1, 2, 10, 10, 6, 2, 10, 1, 1, 2, 10, 6, 2, 6, 1, 7, 6, 6, 1, 10, 1, 10, 10, 1, 1, 2, 2, 0, 6, 2, 10, 6, 1, 2, 10, 6, 2, 6, 10, 1, 1, 10, 2, 6, 1, 1, 1, 2, 1, 2, 4, 1, 10, 10, 2, 10, 10, 1, 2, 10, 2, 10, 1, 10, 1, 1, 2, 6, 1, 10, 1, 6, 0, 6, 10, 1, 10, 2, 2, 6, 10, 2, 2, 2, 10, 1, 2, 1, 2, 2, 6, 10, 2, 2, 1, 6, 2, 2, 1, 10, 2, 10, 1, 1, 2, 1, 6, 6, 6, 2, 1, 10, 9, 6, 1, 10, 1, 1, 10, 2, 10, 6, 1, 10, 6, 2, 1, 10, 6, 2, 6, 2, 1, 2, 6, 6, 6, 1, 1, 2, 5, 9, 6, 10, 2, 10, 1, 2, 6, 1, 1, 6, 1, 6, 1, 10, 1, 1, 6, 1, 10, 2, 6, 2, 1, 10, 10, 1, 6, 1, 6, 2, 6, 10, 1, 6, 6, 1, 10, 1, 2, 10, 10, 1, 6, 10, 1, 0, 2, 2, 6, 6, 10, 2, 1, 5, 2, 1, 6, 10, 10, 2, 5, 1, 1, 2, 1, 1, 10, 6, 6, 2, 2, 6, 10, 2, 10, 6, 1, 2, 2, 6, 10, 6, 2, 2, 10, 2, 10, 6, 6, 2, 6, 1, 1, 10, 6, 6, 2, 6, 6, 1, 10, 1, 2, 6, 2, 10, 2, 6, 1, 10, 1, 6, 6, 10, 1, 10, 10, 10, 10, 6, 6, 1, 6, 0, 6, 1, 6, 2, 6, 10, 6, 2, 0, 1, 1, 2, 10, 10, 2, 2, 0, 6, 1, 2, 6, 1, 1, 2, 2, 1, 10, 1, 2, 1, 2, 6, 2, 1, 10, 10, 6, 1, 2, 10, 2, 10, 1, 10, 10, 2, 6, 10, 1, 2, 6, 6, 10, 2, 10, 5, 10, 6, 10, 1, 6, 10, 1, 10, 6, 6, 2, 10, 10, 10, 2, 6, 6, 10, 1, 6, 6, 10, 10, 2, 10, 10, 6, 2, 10, 6, 2, 1, 10, 0, 1, 6, 2, 1, 1, 6, 6, 10, 1, 10, 6, 6, 6, 1, 10, 6, 10, 6, 1, 6, 10, 1, 6, 10, 2, 6, 1, 2, 2, 2, 10, 10, 10, 10, 5, 6, 2, 6, 6, 6, 2, 6, 10, 10, 1, 2, 2, 1, 6, 6, 10, 1, 6, 6, 6, 6, 10, 1, 6, 1, 6, 6, 6, 2, 2, 6, 6, 6, 1, 10, 2, 10, 10, 6, 1, 10, 6, 1, 1, 1, 1, 6, 1, 1, 10, 1, 10, 1, 10, 2, 10, 1, 6, 6, 10, 2, 10, 1, 2, 2, 1, 2, 10, 2, 10, 10, 6, 10, 10, 1, 1, 1, 6, 1, 6, 2, 10, 6, 1, 6, 10, 1, 10, 1, 6, 1, 10, 2, 2, 10, 2, 10, 6, 2, 2, 1, 10, 10, 6, 6, 6, 1, 1, 10, 6, 1, 2, 10, 6, 0, 1, 1, 10, 2, 10, 4, 2, 6, 6, 6, 1, 10, 1, 1, 6, 1, 6, 1, 2, 6, 2, 1, 10, 10, 2, 2, 6, 6, 10, 1, 10, 10, 9, 2, 10, 2, 2, 6, 1, 5, 10, 6, 1, 0, 2, 1, 2, 10, 6, 1, 1, 4, 6, 6, 6, 2, 2, 2, 2, 1, 2, 10, 2, 6, 1, 9, 2, 0, 1, 6, 1, 1, 6, 4, 6, 2, 6, 2, 10, 10, 1, 6, 2, 10, 2, 1, 2, 9, 1, 10, 10, 10, 1, 10, 10, 1, 10, 6, 1, 2, 10, 10, 10, 2, 1, 10, 2, 2, 6, 2, 6, 2, 2, 1, 10, 1, 2, 2, 5, 2, 1, 6, 6, 2, 10, 1, 6, 1, 6, 10, 10, 10, 1, 10, 1, 1, 6, 2, 10, 2, 6, 10, 2, 6, 2, 10, 10, 2, 6, 1, 2, 10, 6, 10, 10, 1, 10, 1, 2, 10, 6, 2, 6, 2, 1, 1, 2, 2, 1, 10, 2, 2, 6, 6, 1, 6, 2, 6, 1, 10, 1, 2, 6, 1, 2, 6, 2, 6, 10, 6, 2, 2, 1, 2, 5, 1, 10, 1, 1, 1, 10, 10, 2, 1, 2, 2, 10, 1, 2, 1, 2, 1, 2, 6, 2, 6, 2, 1, 10, 2, 6, 10, 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1, 6, 2, 10, 1, 4, 2, 10, 6, 6, 1, 6, 6, 6, 10, 2, 1, 10, 5, 2, 1, 6, 10, 10, 2, 6, 10, 2, 10, 10, 1, 5, 1, 1, 6, 2, 6, 6, 1, 6, 1, 6, 6, 9, 2, 6, 10, 1, 6, 6, 6, 2, 6, 6, 2, 2, 2, 6, 2, 10, 10, 10, 10, 2, 10, 10, 2, 2, 2, 9, 6, 1, 6, 2, 2, 2, 6, 1, 2, 1, 2, 6, 1, 10, 6, 1, 1, 2, 1, 1, 6, 2, 10, 10, 2, 10, 6, 6, 2, 6, 2, 1, 2, 10, 6, 1, 2, 10, 1, 6, 6, 10, 1, 2, 1, 10, 6, 4, 1, 10, 6, 2, 1, 1, 1, 1, 10, 1, 1, 10, 6, 6, 1, 10, 2, 6, 2, 10, 1, 10, 2, 1, 6, 1, 1, 6, 10, 1, 1, 2, 2, 10, 4, 1, 10, 10, 2, 1, 2, 6, 1, 6, 1, 6, 10, 2, 7, 6, 6, 5, 6, 2, 10, 1, 10, 1, 6, 2, 1, 10, 6, 6, 6, 10, 1, 2, 10, 10, 6, 1, 1, 2, 2, 2, 10, 10, 1, 1, 1, 1, 1, 10, 6, 10, 1, 6, 1, 6, 10, 2, 2, 1, 6, 6, 2, 1, 10, 1, 10, 2, 2, 10, 10, 1, 2, 6, 2, 2, 1, 10, 6, 10, 10, 6, 2, 10, 10, 6, 6, 10, 10, 10, 1, 10, 6, 2, 2, 1, 10, 6, 1, 1, 1, 2, 1, 5, 1, 6, 2, 2, 10, 2, 2, 1, 1, 10, 10, 10, 1, 2, 10, 6, 5, 2, 6, 1, 10, 1, 1, 10, 10, 5, 1, 2, 1, 0, 10, 2, 10, 6, 6, 1, 2, 1, 6, 10, 5, 1, 10, 2, 6, 1, 2, 1, 1, 1, 10, 1, 1, 1, 6, 2, 1, 10, 10, 1, 10, 2, 6, 10, 6, 6, 10, 10, 2, 10, 1, 2, 6, 10, 10, 2, 6, 40, 1, 10, 6, 1, 2, 10, 1, 1, 6, 1, 10, 3, 10, 10, 10, 6, 10, 6, 2, 6, 1, 10, 2, 2, 6, 6, 2, 1, 1, 10, 1, 6, 10, 6, 6, 10, 2, 1, 6, 2, 2, 2, 6, 10, 6, 2, 10, 6, 10, 1, 4, 2, 2, 1, 1, 2, 10, 2, 6, 10, 10, 1, 10, 6, 1, 2, 6, 6, 6, 6, 6, 2, 1, 10, 1, 10, 6, 6, 6, 5, 2, 6, 2, 2, 2, 10, 6, 2, 2, 1, 10, 2, 2, 10, 1, 6, 2, 6, 10, 1, 10, 10, 2, 2, 10, 2, 6, 1, 10, 2, 1, 6, 2, 6, 2, 6, 1, 1, 1, 10, 1, 1, 1, 1, 2, 1, 10, 2, 1, 1, 10, 1, 0, 6, 2, 10, 2, 1, 6, 2, 1, 10, 6, 10, 6, 10, 1, 10, 6, 1, 6, 6, 2, 1, 6, 1, 1, 10, 2, 1, 2, 0, 1, 6, 1, 1, 6, 6, 6, 2, 10, 6, 6, 1, 6, 2, 10, 2, 1, 6, 0, 1, 2, 6, 1, 6, 6, 6, 2, 1, 10, 2, 1, 10, 2, 1, 10, 2, 9, 10, 10, 10, 1, 2, 10, 6, 2, 2, 6, 2, 2, 10, 1, 1, 9, 10, 1, 10, 2, 2, 6, 2, 4, 2, 2, 2, 2, 6, 10, 2, 6, 6, 2, 2, 1, 1, 10, 2, 2, 2, 6, 10, 6, 2, 6, 6, 2, 2, 1, 10, 10, 10, 2, 2, 0, 10, 10, 10, 10, 6, 2, 1, 1, 2, 10, 2, 1, 1, 6, 10, 6, 2, 6, 6, 1, 1, 6, 10, 1, 1, 6, 1, 1, 1, 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2, 1, 2, 1, 1, 6, 1, 10, 10, 10, 10, 2, 2, 2, 1, 6, 1, 6, 2, 10, 2, 2, 10, 6, 2, 6, 1, 1, 6, 50, 1, 10, 6, 2, 1, 6, 10, 2, 1, 1, 1, 5, 2, 9, 1, 6, 9, 2, 1, 10, 6, 10, 1, 10, 2, 6, 10, 0, 2, 2, 6, 0, 2, 10, 0, 9, 10, 10, 2, 6, 2, 2, 2, 10, 1, 6, 10, 10, 10, 6, 2, 6, 10, 2, 1, 10, 2, 2, 10, 2, 2, 1, 6, 1, 10, 1, 2, 2, 1, 6, 10, 6, 6, 6, 2, 1, 1, 2, 2, 2, 1, 10, 6, 1, 6, 1, 6, 1, 6, 1, 6, 2, 6, 1, 6, 2, 2, 2, 6, 2, 1, 1, 5, 10, 6, 2, 6, 6, 2, 6, 2, 10, 10, 2, 1, 6, 2, 1, 6, 1, 6, 2, 5, 6, 1, 9, 1, 4, 2, 10, 1, 10, 2, 6, 1, 6, 6, 2, 10, 1, 2, 10, 10, 6, 10, 10, 10, 2, 6, 6, 2, 2, 10, 6, 2, 10, 1, 2, 10, 1, 1, 4, 6, 2, 10, 6, 2, 10, 1, 6, 6, 10, 6, 10, 0, 2, 6, 2, 6, 10, 6, 6, 2, 1, 1, 2, 6, 0, 1, 2, 1, 2, 2, 6, 10, 6, 1, 10, 2, 6, 10, 2, 1, 6, 6, 6, 10, 2, 0, 2, 2, 10, 10, 6, 1, 2, 2, 10, 1, 10, 6, 2, 9, 1, 1, 6, 1, 1, 10, 10, 4, 1, 2, 2, 2, 2, 10, 6, 1, 2, 2, 1, 10, 10, 1, 2, 6, 10, 2, 2, 2, 1, 10, 1, 5, 6, 1, 1, 2, 2, 4, 6, 10, 10, 6, 6, 2, 2, 10, 1, 6, 1, 10, 6, 10, 1, 10, 6, 10, 10, 1, 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1, 1, 2, 1, 1, 2, 6, 10, 10, 10, 1, 6, 6, 2, 6, 2, 6, 10, 6, 2, 6, 10, 2, 1, 6, 6, 1, 6, 1, 6, 1, 2, 6, 1, 6, 1, 2, 6, 2, 1, 1, 6, 10, 10, 2, 6, 10, 6, 2, 1, 2, 6, 10, 1, 6, 6, 6, 1, 1, 1, 1, 6, 2, 10, 6, 2, 1, 6, 1, 1, 1, 2, 2, 6, 1, 1, 1, 2, 10, 2, 10, 2, 1, 1, 2, 10, 6, 1, 9, 1, 6, 5, 2, 10, 10, 10, 1, 1, 10, 2, 2, 1, 10, 6, 10, 2, 10, 1, 6, 1, 6, 1, 1, 2, 10, 6, 2, 1, 0, 10, 1, 1, 2, 10, 10, 1, 10, 6, 2, 2, 6, 2, 2, 10, 0, 6, 2, 1, 6, 1, 2, 10, 6, 1, 1, 2, 6, 1, 6, 2, 6, 6, 6, 10, 1, 10, 6, 6, 6, 6, 6, 2, 10, 10, 6, 2, 1, 4, 1, 10, 1, 0, 1, 2, 10, 2, 10, 10, 10, 6, 10, 6, 10, 6, 1, 1, 1, 6, 1, 10, 1, 6, 1, 6, 1, 6, 1, 2, 10, 2, 10, 6, 6, 6, 10, 1, 6, 10, 6, 1, 1, 2, 10, 6, 10, 2, 10, 1, 1, 1, 10, 2, 10, 2, 6, 10, 1, 6, 10, 1, 1, 2, 10, 10, 5, 6, 2, 1, 2, 6, 6, 6, 6, 6, 1, 6, 6, 0, 1, 6, 10, 1, 2, 6, 2, 2, 2, 2, 10, 2, 4, 1, 2, 2, 2, 2, 6, 6, 1, 1, 6, 10, 10, 6, 6, 10, 1, 10, 6, 10, 10, 10, 6, 6, 2, 10, 1, 6, 2, 2, 1, 1, 10, 6, 1, 1, 2, 1, 2, 6, 6, 1, 1, 6, 5, 2, 10, 10, 1, 2, 10, 2, 6, 6, 10, 1, 1, 10, 2, 6, 6, 1, 6, 10, 2, 6, 6, 6, 2, 1, 6, 2, 10, 2, 2, 1, 10, 2, 2, 5, 1, 10, 2, 6, 10, 1, 2, 6, 1, 2, 1, 10, 2, 2, 6, 6, 2, 1, 6, 6, 6, 10, 10, 2, 2, 1, 10, 6, 10, 6, 6, 10, 6, 2, 2, 6, 10, 2, 10, 2, 10, 2, 2, 2, 10, 6, 6, 2, 6, 1, 10, 2, 2, 10, 2, 6, 2, 6, 6, 10, 1, 10, 6, 6, 1, 1, 2, 2, 1, 1, 6, 1, 9, 1, 1, 1, 6, 10, 2, 2, 6, 2, 6, 10, 0, 10, 1, 2, 1, 2, 1, 2, 6, 10, 6, 2, 10, 2, 6, 1, 6, 1, 6, 10, 10, 2, 1, 2, 1, 1, 10, 6, 1, 1, 10, 2, 1, 10, 2, 2, 10, 6, 1, 2, 2, 10, 10, 6, 9, 1, 10, 10, 6, 6, 10, 10, 1, 6, 2, 1, 1, 10, 2, 6, 6, 1, 6, 10, 2, 10, 2, 2, 4, 1, 2, 6, 2, 1, 0, 10, 6, 2, 10, 2, 6, 10, 6, 6, 9, 6, 2, 2, 1, 10, 2, 1, 2, 6, 1, 6, 6, 10, 5, 10, 6, 10, 6, 6, 6, 2, 2, 10, 2, 10, 10, 6, 1, 2, 10, 0, 10, 9, 10, 10, 10, 6, 1, 1, 1, 10, 2, 1, 6, 6, 6, 10, 6, 2, 2, 10, 6, 6, 2, 6, 10, 1, 10, 2, 6, 2, 10, 2, 1, 10, 2, 6, 10, 0, 2, 10, 2, 1, 2, 10, 2, 1, 2, 2, 2, 2, 6, 10, 2, 2, 1, 10, 2, 6, 2, 2, 10, 10, 1, 6, 10, 2, 10, 10, 10, 10, 2, 1, 2, 2, 10, 6, 10, 1, 1, 6, 2, 2, 10, 2, 6, 10, 2, 10, 2, 6, 10, 1, 1, 1, 6, 8, 2, 6, 10, 2, 10, 6, 6, 10, 10, 10, 6, 6, 2, 6, 10, 10, 6, 2, 1, 6, 10, 10, 2, 10, 10, 10, 10, 1, 10, 8, 1, 10, 2, 6, 1, 2, 10, 6, 1, 10, 6, 10, 10, 6, 2, 10, 1, 2, 2, 6, 6, 2, 1, 1, 2, 10, 10, 10, 10, 10, 1, 1, 2, 6, 1, 10, 2, 1, 10, 2, 6, 1, 10, 6, 2, 6, 2, 10, 1, 1, 2, 1, 6, 5, 1, 1, 10, 6, 6, 10, 6, 1, 6, 2, 10, 6, 1, 6, 4, 2, 0, 2, 2, 1, 2, 2, 10, 6, 10, 6, 1, 10, 6, 1, 10, 6, 6, 10, 1, 6, 10, 10, 1, 6, 2, 10, 2, 1, 6, 6, 10, 1, 2, 1, 1, 1, 2, 10, 6, 2, 10, 6, 1, 2, 10, 6, 10, 6, 1, 10, 6, 6, 2, 10, 1, 1, 2, 1, 2, 1, 2, 10, 1, 1, 6, 2, 6, 6, 2, 10, 2, 1, 6, 10, 0, 6, 10, 1, 1, 1, 2, 6, 1, 6, 2, 6, 10, 1, 10, 1, 6, 6, 10, 1, 1, 1, 10, 10, 2, 2, 10, 2, 6, 1, 6, 6, 6, 2, 1, 10, 1, 10, 2, 10, 6, 10, 6, 10, 1, 6, 2, 10, 2, 1, 6, 1, 10, 2, 2, 10, 9, 10, 6, 1, 10, 2, 10, 10, 2, 2, 2, 10, 1, 2, 6, 10, 2, 6, 5, 6, 2, 1, 5, 6, 6, 6, 1, 2, 6, 10, 6, 6, 6, 2, 6, 1, 10, 10, 1, 10, 6, 1, 10, 2, 10, 1, 2, 10, 10, 1, 2, 6, 6, 2, 2, 10, 4, 2, 10, 1, 10, 10, 2, 1, 1, 10, 6, 2, 2, 6, 10, 2, 2, 2, 0, 0, 2, 6, 10, 2, 1, 10, 2, 1, 2, 2, 6, 10, 2, 2, 2, 1, 6, 1, 2, 4, 2, 2, 2, 1, 1, 0, 1, 6, 2, 2, 10, 1, 6, 2, 6, 2, 1, 6, 2, 10, 6, 10, 10, 1, 2, 10, 2, 6, 1, 6, 9, 2, 2, 1, 1, 1, 1, 6, 10, 6, 10, 2, 1, 10, 10, 2, 1, 1, 1, 1, 6, 10, 2, 10, 2, 6, 10, 1, 2, 1, 10, 2, 2, 1, 1, 2, 10, 2, 10, 10, 1, 6, 6, 6, 10, 2, 10, 6, 10, 10, 1, 6, 10, 1, 6, 1, 10, 1, 1, 10, 6, 2, 6, 2, 6, 6, 10, 2, 6, 6, 10, 6, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 6, 10, 1, 6, 2, 6, 10, 1, 6, 6, 9, 2, 2, 1, 10, 10, 1, 10, 6, 6, 10, 2, 10, 2, 1, 1, 10, 6, 10, 1, 6, 1, 2, 1, 1, 6, 1, 10, 10, 6, 10, 1, 10, 10, 10, 1, 6, 2, 6, 2, 2, 1, 2, 2, 1, 2, 10, 2, 2, 1, 10, 1, 6, 1, 1, 10, 2, 2, 10, 6, 10, 10, 1, 10, 2, 1, 1, 6, 6, 2, 6, 10, 2, 1, 2, 2, 6, 10, 1, 1, 10, 10, 1, 2, 6, 10, 1, 1, 6, 2, 6, 10, 2, 2, 6, 10, 1, 2, 0, 1, 1, 6, 6, 2, 6, 2, 1, 0, 10, 6, 10, 2, 6, 6, 6, 1, 6, 1, 2, 10, 10, 10, 2, 2, 1, 1, 2, 2, 6, 6, 6, 6, 10, 1, 10, 2, 2, 6, 2, 0, 10, 1, 1, 10, 1, 1, 6, 9, 10, 6, 2, 4, 2, 2, 1, 1, 1, 1, 6, 2, 1, 6, 2, 1, 2, 10, 1, 10, 10, 1, 2, 2, 1, 1, 10, 10, 2, 6, 10, 10, 2, 2, 2, 10, 2, 2, 1, 6, 2, 5, 6, 6, 10, 1, 10, 2, 10, 6, 10, 1, 9, 2, 2, 2, 2, 2, 6, 10, 6, 2, 6, 2, 10, 10, 1, 10, 9, 2, 2, 2, 1, 2, 6, 2, 6, 10, 2, 10, 6, 6, 10, 1, 2, 6, 1, 1, 10, 10, 10, 2, 2, 1, 1, 10, 6, 6, 10, 2, 2, 2, 4, 2, 10, 2, 10, 2, 10, 6, 1, 6, 1, 1, 1, 10, 10, 10, 2, 9, 10, 9, 6, 2, 10, 2, 6, 10, 2, 6, 6, 1, 10, 10, 10, 1, 1, 2, 1, 10, 6, 1, 6, 0, 1, 6, 10, 5, 6, 2, 2, 6, 10, 9, 2, 6, 10, 1, 10, 2, 2, 6, 10, 2, 2, 10, 6, 2, 2, 1, 2, 10, 1, 1, 10, 6, 1, 6, 2, 1, 1, 1, 6, 10, 10, 1, 1, 2, 6, 1, 6, 6, 10, 10, 0, 10, 1, 6, 1, 10, 6, 2, 2, 10, 2, 2, 10, 10, 1, 1, 10, 10, 2, 6, 10, 1, 10, 10, 1, 10, 1, 2, 1, 6, 2, 5, 4, 1, 10, 6, 6, 2, 10, 1, 2, 10, 1, 1, 6, 6, 4, 6, 6, 10, 2, 6, 6, 6, 10, 1, 2, 1, 10, 6, 10, 10, 2, 2, 6, 6, 6, 2, 10, 10, 6, 6, 6, 10, 1, 6, 6, 2, 2, 10, 2, 2, 2, 1, 1, 6, 10, 5, 2, 1, 10, 2, 2, 6, 1, 2, 6, 2, 2, 2, 1, 10, 9, 6, 6, 1, 6, 2, 10, 1, 10, 6, 10, 2, 6, 2, 10, 1, 2, 1, 2, 2, 6, 2, 10, 2, 6, 2, 6, 1, 6, 1, 2, 6, 6, 6, 1, 1, 2, 6, 2, 4, 2, 6, 6, 1, 1, 2, 6, 10, 10, 1, 2, 2, 10, 10, 6, 10, 2, 10, 2, 6, 1, 1, 6, 1, 10, 2, 1, 10, 1, 6, 10, 1, 6, 2, 10, 2, 6, 10, 2, 2, 10, 10, 10, 1, 10, 2, 1, 6, 10, 1, 10, 10, 10, 6, 1, 10, 10, 2, 10, 6, 6, 1, 6, 10, 1, 1, 10, 6, 10, 10, 2, 10, 6, 10, 2, 1, 2, 10, 1, 10, 6, 9, 1, 1, 10, 6, 2, 1, 2, 10, 2, 6, 1, 2, 10, 1, 1, 6, 6, 1, 1, 6, 60, 6, 6, 6, 10, 2, 10, 6, 6, 6, 6, 2, 10, 2, 6, 10, 6, 10, 2, 1, 1, 1, 1, 10, 2, 2, 1, 10, 6, 10, 1, 2, 1, 6, 1, 6, 1, 6, 10, 1, 2, 1, 6, 1, 2, 1, 6, 1, 10, 6, 1, 6, 10, 2, 2, 6, 10, 6, 10, 4, 6, 2, 2, 2, 1, 2, 2, 2, 10, 6, 6, 5, 1, 1, 10, 6, 2, 2, 1, 10, 6, 6, 10, 10, 1, 10, 1, 6, 6, 2, 2, 2, 1, 6, 2, 1, 10, 1, 10, 6, 10, 1, 10, 1, 6, 1, 1, 0, 6, 2, 6, 10, 1, 10, 6, 1, 10, 2, 10, 2, 10, 6, 10, 10, 6, 1, 10, 2, 2, 1, 2, 2, 10, 6, 10, 6, 2, 1, 10, 1, 2, 2, 10, 1, 6, 1, 1, 6, 1, 6, 5, 1, 10, 2, 6, 10, 2, 10, 10, 6, 1, 10, 1, 2, 6, 1, 6, 2, 2, 6, 2, 10, 6, 10, 2, 1, 1, 6, 2, 6, 6, 6, 10, 1, 6, 1, 2, 6, 6, 6, 10, 2, 2, 1, 2, 1, 6, 1, 6, 1, 6, 10, 6, 6, 6, 2, 1, 1, 6, 1, 1, 2, 2, 6, 10, 2, 6, 1, 6, 6, 6, 2, 6, 1, 1, 10, 6, 2, 10, 6, 1, 1, 2, 1, 10, 1, 10, 1, 6, 10, 1, 1, 10, 6, 2, 1, 6, 6, 1, 10, 6, 6, 1, 1, 6, 10, 1, 1, 1, 6, 4, 6, 6, 10, 10, 1, 10, 6, 10, 6, 2, 6, 6, 6, 2, 2, 6, 1, 6, 2, 6, 10, 10, 2, 1, 10, 10, 6, 6, 1, 6, 6, 6, 10, 6, 6, 6, 6, 6, 4, 10, 9, 6, 6, 10, 1, 1, 1, 2, 6, 1, 2, 1, 2, 1, 6, 10, 1, 1, 2, 10, 6, 1, 6, 2, 1, 2, 10, 2, 6, 1, 9, 6, 6, 10, 2, 10, 1, 6, 10, 10, 1, 6, 2, 2, 1, 1, 6, 10, 2, 10, 10, 10, 10, 1, 6, 10, 10, 1, 2, 6, 2, 10, 2, 2, 2, 6, 6, 1, 1, 4, 6, 6, 6, 6, 1, 10, 6, 2, 6, 1, 2, 6, 2, 6, 1, 6, 1, 10, 10, 6, 6, 6, 10, 1, 6, 6, 60, 1, 6, 10, 10, 10, 6, 1, 2, 2, 10, 10, 2, 10, 2, 1, 4, 10, 6, 2, 2, 6, 1, 1, 10, 6, 10, 0, 6, 10, 10, 2, 1, 6, 6, 2, 10, 6, 6, 10, 2, 10, 6, 2, 1, 1, 2, 0, 2, 10, 10, 1, 6, 2, 6, 6, 2, 10, 10, 2, 1, 1, 10, 1, 10, 1, 10, 10, 1, 6, 6, 6, 2, 1, 9, 6, 10, 1, 2, 1, 10, 6, 1, 0, 2, 2, 2, 6, 5, 2, 2, 1, 10, 1, 1, 1, 1, 2, 10, 1, 6, 10, 1, 2, 6, 2, 2, 6, 1, 10, 1, 10, 6, 6, 2, 10, 1, 1, 2, 2, 4, 10, 2, 10, 10, 6, 2, 10, 1, 1, 1, 6, 10, 10, 1, 4, 10, 1, 1, 6, 6, 1, 2, 2, 10, 6, 2, 1, 1, 6, 2, 6, 6, 2, 10, 10, 10, 10, 1, 10, 2, 10, 6, 6, 1, 1, 1, 6, 10, 10, 6, 2, 10, 2, 6, 2, 2, 1, 1, 1, 6, 2, 6, 1, 2, 2, 2, 2, 6, 6, 1, 2, 5, 1, 10, 6, 2, 1, 10, 6, 2, 2, 10, 2, 10, 1, 6, 6, 10, 10, 2, 1, 10, 6, 6, 10, 6, 6, 10, 6, 2, 6, 6, 6, 6, 2, 2, 6, 2, 10, 10, 1, 0, 1, 1, 6, 1, 2, 10, 10, 6, 1, 6, 6, 0, 1, 10, 2, 10, 6, 10, 6, 6, 6, 6, 2, 2, 2, 1, 6, 1, 1, 10, 6, 10, 2, 1, 1, 2, 1, 10, 2, 10, 1, 2, 1, 2, 6, 1, 2, 6, 6, 2, 1, 1, 10, 6, 1, 10, 1, 6, 4, 10, 1, 6, 1, 2, 10, 10, 10, 10, 6, 6, 1, 1, 1, 2, 10, 10, 6, 10, 1, 6, 2, 10, 2, 6, 10, 6, 10, 1, 2, 2, 1, 10, 1, 10, 2, 1, 2, 10, 2, 1, 2, 2, 10, 6, 1, 2, 1, 2, 10, 10, 1, 1, 1, 2, 10, 2, 6, 1, 2, 1, 2, 1, 2, 1, 10, 10, 2, 1, 1, 2, 2, 2, 2, 6, 1, 1, 6, 6, 10, 2, 9, 1, 10, 1, 10, 2, 10, 5, 6, 1, 2, 10, 2, 6, 1, 1, 10, 1, 1, 6, 6, 6, 6, 1, 10, 6, 1, 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1, 10, 10, 6, 1, 6, 2, 2, 2, 10, 10, 2, 6, 2, 6, 10, 6, 10, 6, 1, 10, 2, 6, 9, 10, 2, 10, 1, 6, 9, 2, 10, 10, 10, 2, 1, 10, 6, 6, 6, 1, 6, 6, 2, 1, 2, 6, 2, 1, 2, 6, 1, 2, 1, 6, 60, 2, 6, 6, 2, 1, 1, 10, 10, 2, 1, 1, 1, 1, 10, 1, 2, 1, 2, 1, 6, 1, 1, 2, 1, 10, 10, 2, 6, 10, 6, 6, 1, 6, 1, 10, 1, 1, 10, 2, 2, 10, 1, 6, 10, 2, 10, 2, 2, 2, 1, 2, 10, 1, 1, 2, 1, 10, 10, 6, 1, 10, 2, 10, 1, 10, 6, 10, 2, 10, 6, 10, 1, 1, 1, 1, 6, 2, 2, 1, 2, 2, 6, 6, 2, 6, 2, 10, 1, 10, 1, 2, 6, 6, 10, 10, 1, 10, 1, 1, 6, 6, 6, 2, 2, 6, 6, 2, 6, 1, 10, 2, 10, 10, 6, 1, 6, 10, 1, 10, 6, 1, 6, 0, 9, 1, 1, 5, 2, 10, 1, 5, 1, 1, 6, 1, 1, 2, 1, 2, 6, 10, 6, 2, 1, 6, 2, 6, 1, 2, 10, 10, 6, 2, 2, 1, 10, 10, 1, 6, 6, 2, 10, 1, 1, 1, 10, 6, 2, 6, 10, 1, 1, 1, 6, 6, 10, 1, 2, 1, 1, 1, 2, 2, 6, 1, 10, 10, 10, 10, 1, 1, 10, 6, 1, 2, 2, 1, 10, 2, 6, 6, 1, 1, 2, 1, 2, 10, 2, 10, 10, 10, 1, 2, 1, 10, 10, 6, 10, 10, 2, 2, 1, 6, 10, 6, 6, 10, 2, 10, 10, 1, 6, 10, 1, 2, 6, 10, 6, 1, 10, 6, 10, 10, 1, 10, 10, 2, 2, 2, 1, 6, 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10, 1, 10, 6, 10, 2, 1, 6, 6, 6, 2, 10, 1, 6, 2, 2, 2, 10, 10, 1, 10, 2, 2, 10, 2, 1, 2, 2, 6, 1, 2, 4, 1, 6, 2, 2, 6, 10, 10, 10, 10, 6, 10, 1, 1, 1, 1, 5, 1, 2, 1, 1, 10, 10, 6, 6, 1, 1, 1, 2, 6, 10, 10, 6, 2, 1, 2, 1, 2, 1, 10, 1, 10, 1, 1, 1, 10, 1, 10, 6, 2, 6, 1, 10, 2, 2, 2, 10, 1, 6, 1, 2, 10, 10, 6, 10, 6, 2, 6, 6, 6, 10, 6, 1, 2, 6, 6, 2, 2, 6, 6, 1, 2, 10, 6, 2, 4, 6, 10, 10, 6, 2, 4, 0, 6, 1, 2, 2, 1, 6, 10, 1, 10, 2, 2, 1, 1, 6, 10, 2, 1, 10, 6, 2, 1, 2, 1, 10, 2, 1, 10, 1, 1, 2, 2, 6, 10, 10, 6, 6, 1, 10, 10, 6, 10, 10, 5, 2, 1, 6, 1, 10, 6, 10, 2, 2, 6, 10, 10, 6, 10, 6, 2, 6, 1, 6, 6, 2, 1, 2, 2, 10, 2, 6, 6, 6, 10, 6, 10, 10, 1, 10, 6, 6, 2, 1, 1, 2, 6, 5, 6, 2, 1, 6, 6, 1, 2, 2, 10, 2, 2, 2, 1, 6, 1, 2, 6, 2, 10, 6, 2, 6, 6, 6, 6, 1, 6, 10, 6, 10, 1, 1, 2, 6, 10, 10, 6, 1, 6, 2, 1, 9, 10, 6, 10, 6, 1, 1, 2, 2, 2, 10, 1, 1, 1, 10, 4, 2, 6, 2, 1, 2, 5, 10, 6, 6, 6, 10, 1, 10, 1, 10, 6, 10, 6, 2, 2, 10, 6, 10, 2, 2, 1, 10, 2, 10, 1, 1, 1, 2, 10, 1, 2, 2, 10, 2, 6, 1, 10, 2, 9, 10, 2, 2, 1, 10, 10, 6, 10, 2, 1, 6, 6, 1, 6, 1, 6, 6, 1, 2, 1, 10, 2, 1, 10, 1, 1, 2, 10, 6, 1, 10, 6, 2, 1, 9, 2, 10, 4, 2, 2, 10, 1, 2, 10, 2, 10, 2, 2, 1, 10, 1, 1, 10, 6, 5, 10, 6, 6, 10, 2, 2, 10, 10, 5, 2, 10, 1, 10, 2, 2, 1, 6, 2, 1, 6, 10, 10, 1, 10, 1, 10, 2, 9, 2, 1, 10, 1, 2, 2, 2, 1, 10, 1, 2, 1, 10, 6, 1, 10, 2, 6, 10, 6, 6, 2, 1, 1, 10, 2, 2, 10, 10, 10, 10, 2, 2, 10, 10, 1, 1, 2, 1, 1, 2, 2, 5, 10, 10, 6, 6, 1, 10, 10, 10, 1, 0, 6, 2, 2, 6, 1, 2, 10, 1, 1, 2, 6, 2, 1, 1, 1, 10, 1, 6, 2, 1, 10, 6, 6, 6, 6, 6, 2, 10, 10, 6, 1, 10, 9, 1, 10, 2, 6, 2, 6, 1, 10, 2, 6, 10, 1, 10, 6, 6, 10, 2, 6, 6, 1, 2, 2, 2, 6, 2, 6, 2, 4, 2, 1, 2, 2, 2, 9, 10, 10, 1, 6, 6, 6, 1, 10, 2, 10, 10, 2, 6, 10, 2, 10, 10, 6, 6, 1, 4, 6, 10, 1, 2, 2, 1, 10, 10, 6, 6, 6, 1, 4, 10, 10, 1, 10, 1, 10, 2, 10, 10, 2, 2, 10, 10, 1, 1, 10, 6, 1, 6, 2, 1, 6, 1, 6, 2, 2, 6, 2, 1, 1, 10, 2, 1, 0, 10, 2, 10, 1, 2, 6, 10, 10, 10, 6, 6, 2, 6, 6, 6, 10, 1, 2, 6, 10, 10, 2, 6, 60, 10, 1, 6, 10, 10, 1, 10, 6, 2, 10, 2, 1, 1, 1, 6, 2, 1, 6, 6, 1, 2, 10, 1, 10, 10, 6, 2, 10, 2, 2, 2, 1, 10, 6, 2, 2, 6, 10, 2, 1, 10, 2, 10, 2, 2, 6, 2, 1, 2, 10, 2, 2, 2, 6, 1, 6, 1, 6, 10, 10, 2, 1, 1, 1, 1, 2, 6, 6, 6, 1, 6, 1, 1, 2, 10, 10, 10, 1, 6, 6, 6, 1, 1, 2, 1, 6, 10, 6, 2, 2, 1, 0, 1, 10, 1, 2, 10, 10, 6, 6, 1, 10, 2, 2, 1, 1, 10, 2, 1, 1, 10, 1, 2, 0, 6, 10, 1, 2, 10, 1, 10, 1, 10, 1, 1, 6, 2, 2, 10, 10, 1, 10, 10, 1, 2, 6, 6, 10, 2, 1, 10, 1, 1, 10, 6, 1, 2, 10, 2, 6, 10, 4, 4, 1, 10, 6, 10, 1, 10, 2, 1, 6, 6, 10, 2, 1, 6, 5, 2, 2, 1, 2, 6, 6, 10, 2, 1, 2, 6, 10, 10, 2, 1, 2, 2, 6, 2, 1, 10, 10, 1, 1, 1, 6, 9, 9, 6, 2, 6, 6, 1, 1, 6, 2, 1, 6, 0, 10, 2, 10, 2, 1, 6, 2, 10, 6, 6, 6, 6, 6, 1, 6, 1, 6, 10, 2, 2, 6, 10, 1, 10, 2, 2, 1, 1, 2, 1, 2, 2, 10, 10, 6, 2, 10, 10, 2, 10, 2, 6, 6, 10, 6, 1, 10, 1, 6, 10, 10, 10, 1, 6, 10, 6, 10, 10, 6, 2, 6, 6, 2, 1, 2, 2, 10, 1, 2, 1, 2, 2, 6, 6, 10, 10, 0, 2, 1, 6, 6, 2, 2, 6, 1, 6, 1, 2, 2, 10, 1, 2, 2, 0, 10, 10, 6, 1, 10, 1, 2, 1, 6, 10, 1, 6, 1, 6, 2, 6, 2, 2, 2, 2, 1, 1, 6, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 6, 1, 6, 2, 2, 6, 10, 6, 2, 2, 1, 10, 1, 6, 10, 2, 10, 6, 1, 10, 2, 6, 1, 6, 1, 2, 2, 2, 2, 2, 2, 10, 10, 6, 1, 1, 2, 1, 1, 1, 10, 6, 5, 6, 6, 10, 10, 10, 5, 1, 2, 6, 2, 10, 2, 1, 10, 1, 10, 2, 6, 2, 6, 1, 2, 1, 6, 1, 1, 1, 2, 1, 6, 10, 2, 10, 6, 10, 2, 10, 10, 6, 1, 10, 6, 1, 1, 10, 6, 1, 10, 6, 2, 2, 2, 10, 6, 1, 2, 6, 6, 2, 6, 10, 1, 2, 6, 1, 2, 6, 6, 6, 10, 6, 2, 1, 2, 2, 2, 0, 10, 1, 6, 10, 2, 1, 6, 10, 6, 2, 1, 2, 5, 1, 10, 10, 2, 10, 1, 2, 1, 10, 1, 2, 10, 1, 10, 2, 8, 10, 10, 2, 6, 10, 2, 10, 1, 6, 10, 2, 10, 10, 2, 9, 1, 10, 6, 6, 1, 6, 0, 2, 10, 10, 10, 1, 10, 6, 6, 2, 2, 2, 6, 6, 6, 10, 6, 10, 6, 0, 2, 6, 1, 2, 1, 1, 1, 10, 1, 1, 10, 1, 10, 1, 2, 2, 1, 10, 6, 2, 10, 2, 10, 1, 2, 1, 1, 6, 1, 1, 2, 6, 1, 2, 10, 6, 10, 10, 1, 5, 1, 6, 0, 6, 10, 10, 2, 10, 10, 10, 1, 1, 6, 1, 1, 0, 1, 2, 10, 1, 6, 10, 6, 1, 10, 10, 10, 6, 2, 2, 6, 6, 10, 6, 1, 1, 4, 6, 10, 10, 6, 2, 10, 2, 2, 1, 2, 6, 1, 10, 1, 10, 6, 2, 6, 6, 0, 10, 1, 1, 10, 10, 10, 1, 6, 2, 10, 1, 1, 10, 10, 1, 6, 1, 2, 10, 2, 6, 6, 10, 6, 6, 6, 6, 6, 2, 10, 6, 10, 2, 10, 2, 2, 1, 6, 2, 10, 5, 6, 1, 10, 10, 2, 10, 1, 1, 4, 2, 2, 4, 1, 0, 2, 2, 2, 6, 10, 1, 1, 2, 2, 10, 2, 2, 1, 1, 6, 1, 1, 6, 2, 6, 6, 1, 6, 2, 1, 2, 6, 2, 1, 1, 2, 2, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6, 10, 2, 6, 1, 2, 1, 1, 6, 6, 1, 1, 6, 6, 1, 2, 10, 2, 2, 10, 1, 0, 2, 10, 1, 1, 10, 10, 6, 2, 6, 2, 10, 1, 1, 10, 4, 2, 6, 1, 6, 1, 6, 10, 2, 4, 1, 6, 10, 10, 6, 6, 10, 10, 10, 6, 2, 2, 1, 2, 2, 10, 1, 6, 10, 1, 1, 6, 10, 10, 1, 10, 6, 2, 2, 2, 6, 10, 10, 2, 6, 2, 10, 1, 10, 6, 2, 10, 1, 1, 6, 6, 1, 1, 2, 1, 6, 2, 2, 2, 10, 2, 6, 2, 2, 10, 2, 1, 2, 1, 0, 1, 6, 1, 6, 6, 10, 6, 1, 2, 2, 1, 10, 1, 4, 6, 2, 6, 1, 10, 6, 6, 6, 1, 2, 10, 1, 10, 10, 2, 2, 1, 1, 1, 6, 2, 10, 10, 6, 1, 10, 2, 10, 1, 2, 1, 6, 2, 1, 1, 6, 10, 2, 2, 9, 2, 2, 6, 1, 10, 10, 6, 1, 10, 1, 10, 2, 1, 2, 2, 10, 1, 6, 10, 1, 6, 0, 6, 2, 10, 1, 2, 2, 6, 1, 10, 1, 10, 10, 1, 5, 2, 1, 1, 6, 10, 9, 1, 10, 1, 1, 10, 2, 10, 2, 9, 6, 1, 2, 10, 10, 1, 2, 1, 2, 10, 1, 10, 1, 10, 1, 2, 10, 1, 2, 10, 6, 6, 10, 2, 6, 10, 2, 10, 10, 1, 2, 6, 1, 10, 2, 2, 2, 2, 2, 6, 10, 2, 1, 2, 10, 2, 1, 6, 1, 10, 1, 2, 2, 1, 10, 1, 6, 6, 6, 10, 1, 1, 1, 10, 1, 6, 1, 6, 6, 1, 10, 1, 6, 10, 6, 2, 1, 6, 6, 10, 1, 1, 2, 6, 6, 10, 2, 1, 9, 10, 1, 2, 2, 10, 10, 10, 6, 2, 10, 10, 6, 2, 2, 10, 2, 10, 6, 1, 2, 6, 10, 10, 10, 1, 2, 6, 6, 10, 2, 1, 5, 2, 1, 1, 1, 1, 2, 2, 6, 2, 10, 1, 9, 6, 2, 1, 2, 2, 6, 10, 2, 10, 2, 1, 6, 10, 1, 2, 2, 5, 6, 10, 1, 10, 10, 2, 6, 2, 1, 6, 6, 2, 10, 10, 0, 2, 10, 1, 1, 6, 1, 1, 1, 1, 10, 1, 10, 10, 6, 6, 2, 4, 10, 10, 1, 1, 1, 10, 6, 10, 1, 1, 10, 2, 2, 6, 10, 10, 1, 10, 6, 10, 2, 6, 6, 1, 6, 10, 1, 10, 6, 2, 1, 1, 1, 1, 10, 6, 6, 0, 1, 1, 1, 1, 1, 10, 6, 6, 10, 6, 6, 10, 6, 2, 2, 2, 6, 1, 1, 2, 2, 1, 6, 6, 2, 10, 10, 2, 6, 1, 10, 6, 10, 10, 10, 2, 10, 10, 2, 6, 1, 10, 10, 1, 1, 2, 10, 1, 1, 1, 2, 2, 6, 1, 10, 10, 10, 10, 1, 2, 10, 6, 1, 6, 6, 6, 10, 10, 10, 1, 6, 1, 2, 1, 10, 2, 2, 6, 2, 6, 10, 10, 6, 2, 10, 10, 1, 1, 2, 2, 2, 6, 10, 1, 6, 2, 1, 1, 6, 1, 10, 10, 10, 2, 2, 2, 6, 10, 1, 2, 1, 10, 1, 6, 10, 1, 9, 10, 10, 10, 6, 2, 0, 10, 10, 1, 10, 1, 1, 2, 1, 10, 6, 6, 2, 0, 2, 6, 2, 10, 6, 2, 6, 6, 2, 10, 1, 10, 2, 10, 2, 6, 10, 2, 6, 0, 6, 2, 2, 1, 10, 2, 1, 2, 1, 6, 10, 6, 2, 6, 6, 1, 6, 1, 2, 6, 10, 1, 10, 6, 10, 0, 6, 2, 6, 10, 10, 1, 10, 2, 2, 6, 2, 6, 1, 10, 2, 2, 2, 10, 6, 0, 1, 6, 6, 6, 6, 10, 9, 6, 1, 10, 1, 10, 6, 6, 6, 6, 5, 6, 10, 1, 1, 1, 2, 6, 1, 2, 6, 2, 5, 2, 10, 2, 6, 6, 6, 2, 2, 2, 9, 1, 6, 2, 6, 2, 1, 0, 1, 10, 1, 1, 2, 10, 6, 6, 1, 1, 1, 2, 10, 2, 10, 10, 1, 1, 10, 1, 6, 10, 2, 2, 10, 10, 2, 2, 1, 10, 6, 2, 10, 2, 10, 1, 1, 6, 2, 10, 6, 10, 10, 6, 6, 6, 2, 6, 1, 6, 6, 2, 6, 10, 6, 6, 1, 6, 4, 1, 1, 1, 6, 10, 1, 1, 6, 1, 0, 6, 10, 10, 6, 5, 10, 1, 2, 2, 1, 6, 2, 1, 6, 6, 2, 6, 6, 9, 6, 1, 1, 2, 6, 6, 1, 1, 2, 6, 2, 6, 6, 0, 2, 6, 2, 1, 6, 10, 10, 10, 2, 6, 6, 10, 6, 10, 2, 6, 2, 10, 6, 6, 1, 6, 1, 2, 6, 2, 10, 6, 6, 10, 10, 6, 2, 6, 2, 9, 6, 6, 6, 1, 1, 9, 2, 10, 1, 10, 10, 1, 10, 6, 2, 6, 10, 1, 2, 10, 2, 1, 1, 6, 1, 1, 2, 1, 2, 2, 1, 2, 2, 6, 2, 6, 6, 2, 6, 10, 5, 10, 10, 6, 6, 6, 6, 1, 2, 1, 1, 10, 5, 1, 2, 6, 2, 10, 2, 6, 1, 10, 2, 1, 1, 1, 10, 2, 2, 1, 6, 1, 6, 6, 6, 1, 6, 6, 10, 10, 1, 1, 6, 10, 6, 10, 10, 2, 10, 2, 2, 1, 2, 2, 2, 6, 2, 6, 10, 10, 10, 0, 1, 1, 10, 1, 6, 10, 1, 6, 10, 2, 2, 2, 1, 10, 2, 10, 10, 1, 6, 1, 6, 2, 6, 2, 10, 6, 1, 1, 1, 6, 10, 2, 1, 5, 1, 1, 10, 6, 1, 10, 10, 2, 10, 1, 1, 10, 10, 1, 2, 6, 1, 2, 6, 6, 2, 1, 6, 1, 9, 2, 10, 1, 10, 10, 1, 10, 10, 6, 10, 10, 2, 10, 1, 10, 10, 1, 1, 2, 10, 10, 1, 6, 10, 2, 6, 2, 6, 6, 9, 1, 10, 2, 2, 6, 2, 1, 5, 1, 1, 2, 6, 10, 2, 2, 1, 1, 1, 5, 10, 6, 2, 9, 10, 2, 1, 2, 10, 6, 2, 6, 1, 10, 2, 10, 10, 1, 10, 1, 1, 6, 10, 2, 10, 1, 1, 2, 6, 1, 6, 10, 2, 0, 1, 6, 10, 6, 6, 6, 10, 6, 2, 6, 6, 2, 10, 2, 6, 6, 1, 2, 2, 1, 0, 2, 6, 1, 1, 10, 6, 10, 1, 10, 1, 1, 6, 1, 2, 6, 2, 2, 6, 2, 2, 2, 9, 10, 10, 1, 1, 6, 1, 2, 1, 1, 1, 6, 1, 10, 2, 6, 1, 2, 5, 10, 10, 6, 9, 6, 10, 2, 10, 10, 2, 10, 1, 1, 10, 9, 2, 10, 1, 1, 10, 1, 1, 10, 1, 6, 6, 1, 10, 9, 10, 10, 1, 6, 1, 6, 6, 10, 10, 1, 2, 2, 1, 10, 10, 2, 10, 2, 10, 6, 1, 0, 2, 6, 6, 50, 6, 1, 6, 1, 6, 1, 6, 6, 2, 1, 1, 2, 2, 10, 6, 2, 2, 2, 1, 2, 6, 1, 2, 10, 1, 10, 1, 6, 10, 10, 6, 2, 2, 1, 2, 6, 2, 1, 1, 6, 2, 1, 10, 6, 1, 2, 6, 10, 6, 6, 1, 0, 10, 6, 10, 10, 10, 4, 10, 10, 10, 6, 1, 6, 6, 2, 10, 10, 10, 1, 1, 1, 6, 2, 6, 2, 1, 10, 10, 6, 1, 10, 6, 2, 10, 2, 6, 1, 2, 1, 1, 1, 4, 10, 10, 6, 10, 2, 6, 2, 2, 2, 1, 6, 2, 2, 10, 10, 10, 10, 2, 10, 2, 2, 6, 6, 10, 1, 10, 2, 6, 5, 1, 9, 9, 1, 6, 6, 1, 10, 6, 10, 10, 10, 1, 6, 6, 2, 2, 2, 10, 2, 6, 6, 1, 4, 1, 2, 2, 2, 6, 10, 1, 2, 2, 6, 1, 10, 1, 10, 2, 2, 2, 10, 1, 1, 2, 2, 2, 10, 4, 6, 2, 6, 1, 1, 2, 10, 2, 1, 2, 6, 2, 6, 6, 2, 1, 10, 1, 10, 1, 6, 6, 1, 2, 0, 10, 1, 1, 2, 2, 6, 10, 10, 6, 2, 1, 2, 6, 6, 1, 1, 1, 1, 2, 1, 6, 6, 6, 10, 1, 6, 4, 6, 10, 1, 6, 2, 6, 2, 2, 1, 1, 1, 2, 1, 5, 10, 1, 6, 1, 6, 10, 1, 1, 2, 2, 1, 50, 10, 2, 10, 10, 2, 2, 1, 1, 2, 6, 2, 6, 6, 10, 6, 6, 6, 6, 6, 2, 6, 10, 1, 10, 1, 10, 6, 10, 1, 1, 2, 10, 6, 10, 9, 1, 10, 6, 2, 10, 6, 2, 1, 2, 4, 2, 2, 6, 2, 6, 6, 2, 2, 2, 1, 1, 2, 1, 1, 6, 2, 6, 10, 1, 1, 2, 2, 10, 2, 1, 10, 1, 0, 9, 2, 1, 1, 2, 1, 2, 10, 10, 10, 10, 1, 1, 2, 2, 10, 6, 1, 6, 1, 10, 1, 10, 6, 6, 10, 1, 1, 1, 6, 6, 10, 1, 10, 10, 6, 2, 2, 6, 10, 2, 1, 2, 2, 6, 1, 1, 6, 1, 1, 2, 10, 1, 2, 6, 6, 10, 6, 10, 0, 1, 6, 2, 2, 1, 0, 1, 1, 10, 6, 2, 2, 2, 10, 2, 0, 2, 2, 1, 10, 6, 6, 6, 10, 6, 10, 10, 2, 2, 6, 1, 6, 2, 2, 1, 1, 1, 10, 1, 1, 2, 6, 6, 1, 6, 6, 6, 10, 10, 2, 1, 6, 10, 6, 2, 10, 1, 6, 6, 6, 2, 6, 6, 6, 2, 6, 6, 2, 1, 10, 9, 6, 1, 2, 10, 2, 2, 1, 1, 1, 6, 1, 10, 6, 6, 2, 6, 10, 1, 1, 1, 10, 1, 6, 6, 1, 2, 6, 2, 10, 6, 2, 6, 10, 6, 10, 2, 2, 10, 1, 6, 6, 10, 1, 2, 1, 2, 10, 1, 6, 6, 10, 2, 5, 1, 6, 10, 2, 10, 1, 2, 2, 1, 1, 2, 10, 10, 6, 6, 10, 1, 6, 2, 2, 1, 6, 6, 2, 1, 6, 10, 2, 6, 9, 9, 10, 1, 6, 6, 2, 2, 6, 2, 0, 6, 10, 2, 2, 6, 1, 10, 10, 2, 1, 6, 1, 1, 6, 10, 1, 10, 10, 10, 10, 2, 10, 2, 2, 2, 6, 1, 10, 2, 6, 10, 10, 2, 1, 1, 10, 10, 6, 10, 2, 2, 10, 6, 9, 6, 6, 10, 2, 10, 6, 1, 1, 2, 1, 1, 1, 1, 2, 9, 6, 6, 1, 2, 2, 4, 2, 2, 10, 10, 2, 10, 2, 10, 6, 2, 6, 1, 2, 6, 2, 1, 2, 10, 6, 10, 6, 10, 2, 2, 6, 2, 1, 2, 10, 10, 2, 10, 10, 6, 10, 2, 6, 6, 10, 1, 10, 10, 6, 2, 1, 2, 1, 1, 10, 2, 6, 1, 10, 6, 1, 1, 10, 2, 2, 10, 2, 10, 5, 10, 6, 10, 1, 6, 6, 2, 6, 1, 10, 5, 6, 1, 6, 2, 6, 1, 1, 10, 1, 1, 2, 2, 6, 10, 2, 10, 1, 1, 6, 9, 2, 10, 6, 10, 6, 10, 6, 6, 10, 10, 2, 1, 1, 2, 2, 10, 6, 2, 10, 10, 10, 10, 1, 1, 10, 6, 2, 6, 2, 1, 6, 2, 10, 6, 2, 1, 2, 2, 2, 1, 1, 2, 6, 6, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 6, 6, 9, 6, 6, 2, 1, 1, 6, 1, 6, 10, 10, 1, 10, 1, 10, 6, 1, 10, 2, 1, 6, 2, 2, 10, 1, 2, 2, 10, 6, 1, 10, 6, 10, 1, 2, 2, 1, 6, 10, 2, 1, 10, 10, 2, 6, 2, 1, 10, 6, 6, 6, 10, 10, 6, 2, 10, 2, 6, 10, 1, 1, 2, 6, 1, 1, 6, 2, 6, 1, 1, 6, 6, 1, 10, 2, 10, 2, 1, 2, 1, 2, 10, 2, 6, 6, 10, 1, 2, 10, 1, 1, 2, 6, 10, 6, 10, 2, 10, 6, 10, 6, 6, 1, 6, 10, 1, 10, 6, 6, 2, 2, 10, 6, 1, 10, 10, 2, 10, 6, 6, 1, 10, 10, 1, 1, 10, 10, 1, 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1, 6, 1, 6, 2, 2, 1, 1, 2, 2, 1, 10, 10, 10, 10, 6, 10, 10, 2, 10, 10, 10, 6, 6, 10, 1, 1, 10, 10, 10, 2, 6, 1, 10, 6, 10, 10, 6, 2, 10, 2, 4, 1, 6, 2, 10, 6, 2, 6, 6, 2, 10, 2, 2, 6, 1, 1, 6, 1, 6, 6, 1, 0, 10, 1, 1, 2, 2, 2, 1, 10, 6, 1, 6, 1, 2, 1, 2, 1, 6, 6, 1, 10, 9, 1, 1, 1, 2, 1, 1, 10, 6, 6, 1, 10, 2, 2, 6, 10, 1, 1, 10, 1, 6, 2, 0, 6, 0, 1, 2, 2, 2, 1, 1, 2, 5, 6, 1, 6, 6, 1, 6, 6, 2, 1, 10, 1, 6, 6, 1, 2, 6, 6, 2, 6, 1, 1, 10, 10, 2, 6, 1, 10, 6, 10, 1, 1, 6, 6, 6, 10, 1, 10, 10, 10, 6, 1, 6, 6, 2, 10, 6, 2, 6, 1, 6, 2, 2, 10, 2, 2, 6, 6, 6, 1, 2, 2, 6, 2, 1, 2, 6, 10, 6, 10, 2, 10, 10, 6, 6, 2, 6, 2, 10, 2, 1, 2, 6, 6, 1, 6, 1, 1, 1, 10, 10, 10, 6, 6, 4, 6, 2, 2, 10, 6, 1, 2, 2, 1, 2, 1, 2, 6, 2, 6, 6, 2, 1, 6, 1, 10, 1, 2, 6, 10, 10, 6, 2, 10, 1, 1, 2, 10, 2, 2, 1, 10, 2, 6, 10, 10, 10, 1, 6, 1, 1, 6, 2, 2, 10, 6, 6, 2, 2, 1, 4, 1, 1, 6, 6, 10, 1, 6, 10, 2, 2, 1, 2, 10, 1, 2, 10, 2, 1, 2, 2, 1, 10, 6, 6, 2, 6, 10, 2, 10, 2, 10, 10, 6, 6, 2, 6, 6, 2, 1, 1, 10, 1, 2, 2, 10, 1, 10, 10, 6, 2, 1, 6, 10, 6, 10, 6, 2, 10, 10, 6, 2, 6, 2, 1, 1, 2, 1, 2, 4, 10, 1, 6, 2, 9, 6, 1, 10, 2, 1, 10, 10, 6, 10, 6, 10, 2, 10, 10, 2, 1, 6, 10, 9, 6, 2, 6, 10, 6, 6, 9, 2, 6, 2, 6, 1, 6, 6, 1, 10, 10, 10, 6, 1, 6, 1, 2, 6, 6, 6, 2, 6, 10, 2, 6, 9, 10, 6, 2, 6, 6, 6, 1, 1, 1, 10, 1, 1, 2, 6, 2, 10, 1, 6, 10, 6, 6, 10, 1, 10, 6, 10, 2, 10, 4, 10, 10, 0, 6, 2, 10, 10, 2, 10, 1, 1, 10, 2, 1, 2, 2, 4, 1, 6, 1, 1, 4, 6, 10, 10, 2, 6, 10, 2, 2, 2, 10, 1, 2, 1, 1, 10, 2, 6, 6, 2, 6, 2, 1, 6, 6, 2, 2, 1, 6, 2, 10, 6, 2, 10, 6, 2, 10, 6, 6, 6, 10, 1, 5, 6, 2, 6, 10, 6, 10, 1, 6, 10, 10, 6, 10, 2, 1, 1, 6, 1, 1, 10, 1, 6, 10, 6, 2, 10, 1, 6, 1, 6, 1, 6, 2, 2, 10, 6, 6, 6, 1, 10, 1, 10, 1, 1, 1, 1, 2, 1, 1, 6, 6, 10, 10, 10, 2, 2, 2, 2, 1, 10, 6, 10, 6, 2, 1, 10, 6, 1, 40, 1, 1, 6, 1, 6, 2, 1, 1, 1, 2, 10, 1, 6, 2, 1, 6, 2, 10, 10, 2, 10, 6, 1, 1, 10, 1, 10, 6, 1, 10, 10, 6, 6, 10, 6, 2, 2, 1, 2, 1, 1, 10, 2, 6, 2, 6, 1, 6, 6, 2, 10, 1, 1, 1, 1, 10, 10, 2, 10, 6, 6, 2, 2, 6, 1, 6, 2, 2, 1, 1, 1, 10, 2, 1, 1, 6, 10, 10, 1, 2, 6, 6, 6, 2, 10, 6, 10, 1, 1, 6, 5, 10, 10, 1, 2, 10, 10, 6, 10, 6, 2, 10, 6, 2, 6, 10, 6, 6, 4, 2, 2, 6, 2, 6, 2, 6, 6, 1, 10, 2, 6, 2, 6, 10, 1, 1, 2, 6, 10, 2, 6, 6, 6, 6, 10, 2, 2, 1, 10, 6, 6, 10, 6, 1, 6, 2, 10, 6, 1, 6, 1, 6, 10, 10, 6, 6, 1, 2, 9, 6, 2, 1, 10, 1, 6, 6, 2, 1, 6, 10, 1, 2, 1, 6, 1, 4, 1, 1, 6, 2, 1, 10, 2, 10, 10, 1, 1, 1, 1, 6, 2, 1, 2, 1, 10, 0, 10, 6, 2, 1, 2, 6, 2, 10, 1, 1, 1, 1, 1, 6, 10, 2, 2, 1, 6, 2, 10, 2, 10, 6, 1, 6, 6, 10, 2, 2, 2, 10, 10, 2, 6, 2, 2, 6, 1, 0, 1, 10, 2, 2, 1, 2, 1, 2, 10, 10, 10, 10, 6, 10, 1, 2, 1, 2, 1, 1, 6, 2, 10, 10, 2, 6, 6, 1, 1, 10, 2, 6, 1, 6, 1, 1, 10, 1, 6, 6, 10, 6, 10, 2, 1, 2, 2, 2, 6, 10, 4, 1, 1, 10, 1, 2, 10, 10, 1, 2, 10, 2, 10, 1, 1, 10, 10, 10, 6, 6, 6, 1, 6, 2, 10, 2, 2, 10, 10, 1, 10, 10, 6, 10, 6, 1, 10, 2, 1, 1, 1, 6, 2, 10, 6, 1, 10, 6, 1, 10, 2, 2, 10, 6, 10, 10, 10, 6, 2, 10, 2, 6, 6, 1, 2, 6, 6, 1, 2, 6, 6, 1, 6, 1, 1, 2, 10, 1, 1, 6, 1, 10, 2, 10, 1, 1, 1, 1, 1, 1, 10, 10, 1, 1, 2, 2, 1, 6, 1, 6, 6, 2, 10, 6, 2, 10, 10, 10, 10, 2, 10, 1, 6, 2, 2, 10, 1, 6, 6, 2, 1, 6, 10, 1, 2, 10, 1, 6, 6, 6, 10, 6, 10, 1, 6, 6, 2, 1, 10, 10, 2, 1, 6, 10, 10, 1, 2, 2, 10, 10, 6, 10, 2, 1, 1, 6, 10, 5, 2, 10, 1, 1, 10, 1, 1, 6, 10, 1, 6, 1, 2, 6, 6, 10, 2, 10, 10, 10, 4, 0, 2, 6, 2, 2, 10, 6, 6, 6, 10, 2, 2, 1, 2, 2, 10, 10, 10, 2, 2, 10, 1, 1, 50, 0, 9, 1, 2, 2, 6, 1, 10, 6, 6, 10, 1, 2, 10, 1, 2, 2, 1, 1, 2, 6, 5, 10, 6, 10, 6, 9, 1, 1, 2, 10, 6, 1, 1, 1, 6, 10, 10, 10, 10, 3, 10, 6, 9, 10, 10, 2, 6, 1, 2, 6, 1, 2, 9, 10, 2, 10, 10, 10, 2, 1, 6, 10, 2, 6, 2, 10, 6, 1, 5, 6, 1, 1, 6, 1, 6, 6, 0, 2, 10, 2, 6, 6, 1, 2, 2, 1, 2, 1, 6, 6, 6, 1, 10, 1, 1, 6, 2, 5, 10, 6, 10, 2, 2, 1, 6, 1, 1, 2, 1, 2, 6, 2, 1, 1, 6, 6, 2, 6, 2, 10, 10, 1, 10, 10, 4, 10, 2, 6, 1, 2, 40, 6, 6, 6, 6, 6, 2, 10, 2, 5, 2, 1, 6, 1, 2, 10, 2, 2, 10, 6, 6, 10, 1, 10, 10, 1, 6, 9, 10, 1, 6, 6, 1, 1, 10, 6, 1, 6, 6, 1, 1, 10, 4, 1, 10, 1, 10, 10, 6, 6, 1, 2, 1, 10, 4, 2, 10, 6, 2, 6, 10, 6, 1, 1, 6, 10, 10, 1, 1, 2, 10, 10, 10, 6, 2, 10, 10, 1, 10, 1, 6, 2, 10, 10, 4, 10, 6, 6, 1, 6, 1, 2, 6, 6, 6, 10, 10, 2, 1, 1, 2, 2, 2, 6, 2, 6, 2, 1, 1, 10, 1, 1, 1, 2, 2, 6, 1, 6, 10, 0, 6, 2, 10, 2, 6, 2, 10, 1, 2, 1, 10, 2, 2, 10, 10, 6, 2, 1, 6, 2, 6, 10, 6, 10, 1, 6, 1, 2, 10, 1, 1, 6, 1, 10, 6, 9, 1, 9, 2, 1, 10, 10, 1, 1, 10, 10, 1, 6, 10, 10, 10, 2, 6, 6, 6, 6, 1, 1, 6, 1, 2, 10, 6, 2, 6, 2, 6, 1, 1, 10, 10, 6, 6, 6, 2, 1, 2, 1, 10, 6, 10, 6, 2, 2, 2, 2, 2, 1, 1, 10, 2, 10, 2, 1, 2, 10, 1, 6, 6, 4, 1, 6, 6, 6, 0, 2, 2, 1, 1, 2, 6, 1, 10, 1, 10, 1, 10, 1, 1, 6, 2, 6, 6, 6, 2, 10, 2, 10, 6, 6, 1, 0, 1, 2, 10, 10, 2, 10, 1, 10, 10, 6, 10, 10, 6, 2, 1, 1, 2, 2, 1, 6, 1, 10, 2, 2, 2, 6, 1, 2, 6, 1, 6, 1, 2, 1, 6, 2, 6, 1, 10, 2, 10, 10, 1, 2, 2, 10, 1, 6, 6, 10, 6, 1, 1, 6, 6, 9, 6, 6, 1, 6, 6, 6, 1, 2, 6, 10, 2, 6, 2, 2, 2, 1, 2, 10, 6, 1, 1, 1, 10, 2, 6, 10, 10, 2, 10, 1, 2, 2, 1, 6, 2, 1, 9, 1, 6, 1, 10, 2, 6, 2, 1, 10, 6, 6, 6, 2, 2, 6, 10, 1, 10, 6, 6, 1, 9, 10, 0, 2, 6, 2, 1, 1, 6, 1, 6, 1, 9, 10, 10, 1, 2, 10, 2, 10, 0, 2, 10, 1, 6, 2, 4, 2, 10, 6, 2, 10, 1, 1, 2, 10, 1, 10, 6, 2, 6, 6, 6, 1, 6, 1, 2, 1, 1, 2, 1, 9, 2, 10, 1, 6, 1, 6, 10, 2, 6, 10, 1, 10, 10, 4, 10, 10, 2, 0, 2, 2, 1, 6, 1, 1, 1, 10, 5, 2, 6, 10, 10, 10, 1, 2, 6, 10, 6, 6, 6, 10, 10, 10, 2, 10, 1, 2, 6, 10, 2, 4, 1, 1, 2, 10, 1, 2, 2, 10, 1, 1, 6, 6, 6, 6, 10, 6, 10, 1, 1, 6, 1, 2, 6, 6, 1, 10, 2, 6, 10, 1, 1, 6, 0, 1, 1, 2, 6, 1, 2, 1, 1, 6, 6, 10, 7, 10, 1, 6, 6, 5, 6, 9, 1, 6, 2, 10, 1, 10, 1, 1, 6, 6, 1, 1, 6, 6, 2, 10, 2, 1, 2, 6, 2, 1, 10, 10, 1, 2, 6, 2, 10, 1, 10, 10, 10, 2, 10, 6, 6, 6, 2, 1, 10, 10, 10, 7, 1, 1, 1, 1, 2, 1, 10, 10, 1, 1, 2, 1, 1, 2, 1, 10, 10, 2, 10, 6, 6, 6, 6, 2, 6, 10, 6, 6, 2, 6, 1, 6, 2, 2, 1, 2, 10, 2, 2, 10, 0, 2, 10, 10, 1, 2, 1, 2, 10, 6, 6, 10, 6, 1, 2, 10, 9, 10, 1, 1, 1, 1, 10, 6, 1, 2, 10, 2, 2, 6, 10, 9, 10, 6, 2, 2, 2, 1, 6, 2, 2, 10, 2, 1, 4, 2, 6, 10, 1, 6, 1, 6, 1, 6, 6, 2, 10, 6, 2, 10, 1, 10, 2, 10, 6, 2, 10, 6, 1, 2, 10, 2, 1, 2, 2, 10, 10, 10, 10, 2, 6, 1, 2, 6, 2, 6, 2, 2, 10, 2, 10, 10, 1, 2, 1, 2, 1, 2, 2, 6, 1, 10, 6, 6, 2, 2, 2, 1, 6, 0, 1, 2, 2, 2, 2, 10, 6, 2, 10, 2, 10, 1, 1, 2, 1, 1, 1, 2, 10, 2, 2, 1, 10, 6, 6, 1, 2, 2, 1, 2, 1, 6, 1, 6, 2, 6, 1, 2, 10, 0, 2, 1, 2, 6, 2, 6, 10, 1, 2, 1, 10, 6, 6, 1, 1, 10, 10, 6, 1, 10, 6, 6, 10, 10, 2, 2, 2, 6, 6, 6, 2, 6, 6, 10, 1, 1, 6, 2, 1, 1, 6, 2, 10, 1, 6, 10, 4, 1, 2, 2, 2, 2, 10, 10, 10, 2, 2, 6, 6, 6, 10, 10, 2, 6, 6, 2, 10, 6, 2, 2, 10, 10, 6, 10, 6, 6, 1, 1, 5, 10, 10, 2, 10, 1, 2, 6, 6, 6, 10, 6, 6, 1, 4, 2, 6, 1, 6, 2, 2, 2, 10, 10, 2, 10, 2, 1, 10, 1, 2, 2, 0, 1, 6, 10, 2, 10, 10, 10, 2, 10, 10, 2, 1, 1, 6, 2, 6, 10, 10, 1, 6, 6, 10, 2, 6, 10, 2, 2, 1, 6, 10, 10, 1, 1, 6, 2, 1, 2, 1, 10, 10, 10, 2, 1, 10, 2, 1, 6, 10, 2, 10, 6, 1, 1, 2, 0, 0, 2, 10, 2, 2, 1, 1, 10, 2, 1, 1, 1, 2, 10, 6, 2, 10, 6, 2, 1, 2, 2, 1, 6, 10, 2, 10, 10, 1, 1, 1, 10, 2, 1, 6, 2, 2, 1, 10, 6, 1, 10, 10, 10, 1, 6, 1, 6, 1, 1, 10, 10, 6, 2, 10, 10, 10, 1, 1, 2, 6, 10, 10, 10, 10, 10, 6, 10, 10, 10, 1, 1, 10, 1, 2, 10, 6, 2, 10, 1, 1, 1, 1, 2, 2, 10, 2, 1, 2, 2, 2, 10, 2, 1, 2, 10, 6, 1, 6, 2, 2, 1, 2, 2, 1, 10, 1, 6, 1, 10, 1, 1, 10, 10, 2, 10, 6, 2, 2, 10, 2, 10, 6, 2, 10, 6, 2, 6, 2, 5, 5, 6, 10, 6, 10, 6, 6, 2, 2, 6, 1, 1, 10, 2, 1, 10, 10, 6, 2, 2, 6, 10, 6, 10, 6, 2, 4, 2, 10, 6, 10, 10, 10, 6, 2, 2, 1, 6, 6, 9, 10, 1, 2, 10, 2, 10, 6, 2, 9, 1, 1, 6, 6, 1, 1, 1, 6, 1, 2, 1, 1, 6, 10, 2, 6, 1, 6, 1, 10, 10, 10, 1, 6, 10, 10, 2, 10, 10, 1, 0, 2, 1, 10, 2, 10, 10, 1, 2, 1, 2, 2, 2, 6, 6, 1, 6, 4, 6, 6, 2, 1, 10, 10, 6, 1, 1, 2, 1, 6, 1, 1, 10, 10, 1, 2, 1, 2, 1, 0, 1, 2, 10, 10, 10, 1, 2, 1, 10, 2, 2, 10, 10, 6, 2, 6, 1, 10, 2, 10, 10, 6, 9, 4, 1, 2, 2, 10, 6, 6, 1, 2, 2, 6, 1, 1, 2, 6, 10, 10, 2, 10, 6, 6, 6, 2, 1, 1, 2, 2, 6, 2, 2, 10, 1, 6, 1, 10, 10, 2, 6, 10, 2, 6, 5, 2, 2, 6, 10, 10, 1, 6, 10, 2, 2, 2, 1, 6, 1, 10, 1, 10, 6, 10, 6, 6, 2, 2, 6, 1, 1, 1, 6, 2, 10, 10, 6, 2, 2, 6, 2, 10, 2, 2, 2, 1, 6, 2, 10, 2, 10, 10, 1, 2, 10, 10, 6, 2, 10, 1, 10, 2, 1, 6, 2, 10, 10, 6, 2, 2, 6, 1, 2, 10, 10, 10, 1, 10, 2, 9, 1, 1, 2, 10, 9, 2, 2, 10, 10, 2, 2, 1, 1, 6, 6, 6, 6, 1, 1, 10, 10, 1, 10, 1, 2, 10, 1, 10, 2, 2, 6, 1, 1, 2, 2, 6, 2, 1, 4, 10, 10, 1, 10, 10, 6, 1, 6, 1, 1, 1, 6, 10, 1, 10, 10, 2, 1, 6, 10, 6, 1, 6, 10, 10, 1, 10, 10, 1, 1, 1, 6, 6, 1, 2, 10, 6, 2, 6, 1, 6, 1, 10, 2, 1, 10, 10, 6, 10, 1, 0, 10, 2, 1, 1, 2, 6, 6, 1, 6, 2, 6, 0, 2, 10, 6, 1, 1, 1, 2, 6, 2, 10, 6, 6, 6, 1, 1, 2, 2, 6, 1, 10, 10, 1, 2, 1, 6, 1, 1, 6, 1, 2, 1, 2, 2, 6, 10, 10, 10, 10, 1, 6, 10, 6, 10, 1, 1, 10, 2, 10, 10, 6, 6, 5, 2, 1, 10, 2, 1, 1, 2, 6, 1, 10, 10, 2, 1, 10, 1, 10, 10, 2, 2, 10, 6, 10, 4, 10, 10, 1, 10, 10, 1, 10, 1, 6, 1, 6, 10, 10, 6, 10, 10, 6, 2, 2, 4, 2, 2, 10, 1, 2, 2, 1, 6, 6, 10, 2, 6, 1, 1, 2, 6, 2, 10, 2, 6, 1, 2, 10, 6, 6, 6, 6, 1, 10, 1, 2, 6, 4, 6, 6, 2, 10, 1, 1, 0, 2, 6, 2, 2, 0, 10, 6, 10, 1, 4, 10, 10, 1, 2, 1, 10, 2, 2, 2, 10, 2, 1, 9, 1, 6, 6, 10, 1, 10, 2, 10, 1, 2, 1, 10, 6, 10, 2, 6, 1, 1, 1, 1, 10, 2, 6, 10, 1, 2, 1, 6, 10, 6, 6, 1, 1, 10, 1, 10, 6, 2, 2, 1, 1, 2, 2, 2, 6, 10, 2, 2, 6, 10, 9, 2, 1, 1, 1, 1, 2, 1, 10, 1, 10, 2, 10, 10, 2, 6, 1, 10, 2, 1, 1, 1, 6, 10, 1, 6, 6, 2, 10, 5, 6, 1, 10, 6, 10, 6, 10, 2, 0, 6, 2, 6, 1, 10, 10, 1, 6, 6, 2, 1, 6, 1, 2, 10, 2, 10, 10, 1, 10, 9, 10, 2, 6, 6, 1, 10, 1, 10, 4, 2, 10, 10, 1, 10, 2, 2, 2, 1, 1, 6, 9, 1, 10, 9, 6, 6, 6, 2, 2, 2, 2, 2, 1, 6, 1, 6, 6, 1, 10, 1, 6, 1, 6, 10, 2, 1, 2, 1, 10, 10, 2, 6, 6, 10, 10, 1, 10, 2, 10, 10, 2, 2, 4, 2, 6, 2, 10, 10, 2, 2, 2, 6, 10, 10, 10, 2, 6, 1, 2, 6, 2, 1, 6, 6, 10, 1, 1, 6, 2, 6, 6, 6, 6, 2, 10, 2, 2, 6, 1, 2, 1, 2, 1, 2, 6, 2, 2, 1, 6, 10, 1, 1, 1, 1, 6, 1, 6, 6, 2, 1, 2, 10, 10, 10, 2, 2, 2, 6, 2, 6, 1, 2, 1, 10, 6, 2, 1, 10, 2, 10, 6, 1, 6, 9, 1, 10, 2, 6, 1, 1, 10, 1, 1, 10, 2, 1, 1, 2, 10, 6, 2, 10, 2, 10, 2, 2, 10, 10, 10, 6, 6, 1, 1, 1, 10, 6, 6, 2, 6, 6, 2, 2, 6, 1, 1, 2, 6, 2, 1, 10, 6, 6, 10, 6, 6, 10, 1, 6, 2, 10, 6, 2, 1, 1, 1, 10, 2, 6, 1, 10, 6, 6, 6, 1, 6, 6, 10, 1, 4, 2, 1, 1, 2, 6, 2, 2, 10, 2, 6, 1, 1, 1, 10, 6, 1, 2, 6, 1, 6, 10, 0, 4, 1, 10, 1, 10, 1, 2, 1, 6, 6, 2, 10, 6, 2, 10, 6, 1, 1, 2, 10, 6, 2, 1, 1, 6, 9, 2, 6, 1, 2, 1, 2, 10, 1, 2, 2, 1, 1, 10, 10, 2, 1, 6, 10, 1, 2, 1, 6, 1, 6, 6, 6, 10, 6, 2, 0, 10, 2, 1, 6, 10, 2, 1, 6, 10, 2, 2, 6, 2, 6, 2, 1, 6, 1, 10, 1, 2, 6, 7, 1, 1, 2, 1, 1, 6, 2, 4, 1, 10, 1, 1, 1, 1, 10, 1, 10, 10, 6, 10, 6, 6, 2, 6, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 6, 2, 6, 2, 1, 10, 9, 10, 2, 10, 6, 6, 10, 1, 1, 10, 10, 10, 2, 2, 2, 10, 6, 1, 2, 1, 10, 10, 1, 9, 2, 1, 6, 2, 2, 10, 10, 2, 2, 10, 10, 10, 10, 2, 6, 1, 1, 10, 6, 10, 6, 6, 10, 1, 1, 2, 2, 1, 1, 1, 1, 10, 2, 1, 6, 1, 10, 9, 2, 6, 2, 1, 1, 10, 1, 6, 6, 10, 10, 2, 6, 1, 10, 10, 2, 1, 6, 6, 6, 1, 6, 0, 10, 1, 10, 2, 1, 6, 10, 10, 1, 2, 10, 1, 10, 10, 10, 6, 2, 2, 2, 1, 2, 9, 2, 2, 6, 6, 2, 2, 1, 1, 10, 4, 6, 10, 2, 10, 0, 0, 6, 6, 1, 6, 6, 2, 6, 2, 1, 10, 6, 6, 2, 1, 10, 1, 10, 4, 2, 10, 2, 6, 6, 10, 6, 6, 10, 5, 10, 10, 1, 6, 1, 2, 2, 1, 5, 10, 6, 10, 6, 6, 2, 1, 40, 6, 6, 6, 1, 10, 1, 10, 10, 1, 10, 2, 2, 1, 6, 10, 10, 2, 2, 10, 10, 1, 10, 2, 1, 1, 2, 1, 6, 6, 10, 6, 1, 1, 10, 6, 10, 2, 6, 1, 10, 2, 1, 10, 1, 2, 6, 2, 6, 10, 1, 1, 2, 10, 6, 1, 10, 1, 1, 10, 6, 6, 2, 9, 10, 1, 1, 10, 2, 10, 1, 6, 10, 10, 1, 6, 2, 2, 1, 6, 1, 10, 10, 6, 2, 6, 1, 6, 9, 2, 2, 1, 2, 2, 10, 10, 6, 2, 1, 10, 5, 10, 1, 1, 2, 1, 2, 6, 1, 6, 6, 2, 10, 2, 1, 10, 2, 0, 4, 6, 10, 2, 2, 2, 6, 6, 6, 2, 4, 2, 6, 1, 3, 6, 6, 6, 10, 10, 10, 10, 1, 2, 6, 10, 4, 2, 2, 1, 2, 6, 60, 1, 6, 10, 10, 6, 6, 6, 10, 2, 10, 6, 6, 10, 6, 2, 1, 1, 10, 10, 6, 2, 10, 1, 1, 6, 10, 1, 1, 10, 1, 6, 1, 6, 2, 2, 10, 2, 1, 1, 1, 2, 2, 6, 1, 6, 1, 2, 6, 2, 1, 2, 10, 6, 10, 1, 2, 1, 2, 1, 6, 6, 1, 2, 1, 10, 10, 2, 10, 10, 2, 10, 10, 1, 2, 1, 2, 10, 1, 1, 6, 2, 2, 1, 1, 10, 10, 1, 2, 10, 10, 6, 1, 6, 10, 2, 2, 2, 1, 2, 6, 10, 10, 6, 10, 10, 6, 1, 1, 2, 2, 6, 6, 2, 6, 10, 6, 6, 6, 6, 1, 2, 2, 9, 1, 3, 1, 1, 1, 10, 10, 2, 2, 1, 10, 6, 10, 6, 10, 2, 10, 6, 1, 2, 6, 1, 10, 6, 6, 10, 2, 10, 2, 6, 1, 10, 6, 6, 1, 10, 9, 10, 1, 2, 6, 10, 1, 10, 6, 6, 1, 6, 1, 10, 10, 1, 6, 10, 1, 10, 6, 1, 2, 6, 6, 2, 2, 10, 10, 10, 2, 1, 6, 6, 10, 1, 2, 1, 1, 6, 10, 6, 1, 6, 1, 10, 6, 10, 4, 1, 6, 2, 10, 6, 6, 2, 6, 10, 6, 1, 10, 2, 2, 10, 6, 10, 5, 10, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 6, 2, 10, 6, 1, 9, 2, 1, 6, 0, 2, 6, 2, 2, 2, 6, 6, 10, 10, 6, 6, 1, 1, 2, 10, 2, 1, 2, 2, 2, 10, 2, 10, 10, 10, 1, 2, 0, 1, 6, 1, 2, 1, 10, 1, 2, 4, 1, 1, 2, 10, 2, 1, 2, 10, 6, 2, 6, 1, 6, 2, 10, 6, 6, 10, 10, 2, 4, 10, 10, 2, 2, 2, 10, 6, 10, 6, 6, 10, 2, 6, 2, 10, 1, 1, 10, 2, 1, 1, 1, 2, 2, 6, 10, 6, 10, 5, 2, 2, 1, 2, 1, 6, 6, 1, 6, 6, 0, 10, 2, 2, 10, 6, 2, 6, 1, 1, 2, 10, 10, 6, 2, 6, 1, 10, 2, 6, 10, 1, 2, 6, 10, 0, 1, 1, 10, 6, 10, 6, 2, 6, 0, 2, 1, 2, 0, 1, 1, 2, 6, 6, 6, 10, 10, 6, 6, 2, 6, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 10, 1, 2, 2, 10, 6, 6, 2, 1, 10, 10, 6, 6, 2, 10, 2, 1, 2, 1, 5, 2, 2, 6, 6, 1, 6, 1, 6, 2, 2, 6, 2, 2, 10, 1, 2, 1, 2, 2, 10, 3, 2, 1, 1, 10, 1, 6, 10, 6, 6, 10, 10, 6, 0, 6, 2, 6, 10, 10, 6, 2, 2, 10, 1, 10, 6, 1, 6, 1, 1, 10, 1, 6, 2, 2, 2, 2, 10, 1, 1, 6, 1, 2, 10, 6, 6, 2, 10, 2, 6, 1, 6, 6, 4, 6, 1, 1, 6, 2, 2, 2, 9, 6, 2, 2, 10, 6, 2, 6, 6, 6, 6, 1, 1, 1, 1, 2, 10, 2, 10, 1, 2, 2, 6, 10, 9, 2, 2, 10, 2, 2, 1, 6, 1, 10, 10, 9, 10, 1, 2, 10, 1, 2, 6, 10, 2, 6, 6, 1, 1, 2, 6, 10, 10, 6, 10, 2, 10, 1, 10, 10, 1, 2, 2, 1, 1, 6, 1, 2, 2, 1, 2, 6, 2, 6, 1, 6, 1, 1, 6, 10, 10, 10, 6, 10, 1, 6, 6, 6, 10, 1, 1, 10, 10, 1, 6, 2, 2, 2, 2, 1, 6, 2, 10, 1, 6, 2, 2, 10, 6, 2, 6, 1, 10, 6, 6, 6, 1, 6, 1, 2, 1, 1, 6, 10, 2, 2, 2, 10, 2, 10, 1, 6, 10, 10, 1, 1, 1, 1, 1, 1, 6, 10, 1, 1, 1, 2, 10, 1, 1, 2, 6, 1, 2, 2, 6, 1, 6, 6, 6, 1, 6, 6, 10, 1, 10, 6, 2, 2, 1, 2, 10, 2, 2, 6, 1, 2, 6, 1, 6, 2, 6, 1, 2, 2, 2, 1, 10, 1, 6, 10, 1, 2, 10, 2, 2, 2, 6, 2, 1, 10, 6, 6, 6, 2, 1, 10, 2, 6, 6, 2, 10, 6, 1, 1, 10, 1, 10, 10, 1, 6, 2, 6, 10, 10, 1, 10, 10, 9, 2, 10, 2, 10, 6, 2, 1, 1, 6, 1, 1, 10, 6, 6, 10, 2, 6, 10, 2, 6, 1, 1, 2, 2, 2, 2, 6, 6, 2, 1, 10, 10, 2, 2, 1, 10, 10, 0, 2, 1, 1, 10, 1, 4, 6, 2, 6, 10, 10, 6, 2, 2, 2, 6, 10, 10, 6, 10, 6, 2, 10, 10, 2, 10, 6, 10, 10, 6, 10, 10, 1, 1, 10, 1, 2, 1, 2, 2, 2, 2, 6, 1, 2, 10, 10, 6, 2, 2, 10, 2, 6, 2, 2, 10, 10, 6, 1, 1, 2, 6, 6, 2, 2, 6, 1, 2, 10, 1, 1, 6, 6, 10, 2, 10, 10, 2, 10, 6, 1, 10, 2, 1, 6, 2, 1, 2, 10, 6, 10, 2, 1, 6, 10, 9, 1, 1, 1, 10, 1, 10, 2, 10, 10, 2, 1, 6, 1, 2, 1, 6, 6, 50, 1, 10, 10, 6, 10, 2, 6, 2, 1, 1, 10, 2, 1, 2, 1, 6, 1, 6, 2, 6, 10, 1, 1, 10, 2, 10, 6, 6, 10, 1, 1, 1, 2, 6, 2, 1, 2, 2, 1, 6, 1, 10, 6, 2, 5, 6, 10, 10, 1, 6, 10, 0, 1, 6, 10, 6, 2, 10, 10, 6, 10, 10, 1, 10, 4, 6, 10, 10, 1, 6, 10, 6, 1, 1, 2, 6, 10, 1, 2, 2, 2, 1, 1, 6, 10, 10, 1, 5, 6, 2, 1, 10, 2, 6, 2, 1, 10, 10, 2, 10, 2, 10, 5, 6, 1, 2, 6, 6, 2, 10, 6, 10, 6, 2, 1, 1, 6, 5, 1, 10, 10, 10, 6, 0, 2, 2, 6, 1, 6, 1, 1, 6, 1, 10, 6, 2, 2, 6, 2, 1, 2, 1, 6, 1, 2, 1, 2, 6, 1, 6, 0, 6, 2, 6, 6, 6, 2, 10, 10, 5, 2, 6, 10, 1, 6, 1, 1, 6, 2, 2, 2, 2, 10, 6, 10, 10, 6, 6, 1, 1, 10, 10, 0, 1, 2, 10, 2, 2, 10, 2, 9, 10, 6, 6, 2, 1, 10, 1, 2, 10, 10, 10, 1, 1, 2, 2, 10, 6, 6, 10, 1, 4, 6, 2, 2, 10, 10, 2, 2, 2, 10, 10, 6, 10, 1, 2, 6, 6, 1, 2, 1, 10, 6, 10, 5, 2, 10, 10, 6, 6, 10, 1, 1, 2, 2, 2, 1, 2, 2, 10, 10, 10, 6, 6, 6, 1, 6, 6, 1, 1, 1, 10, 6, 2, 6, 6, 1, 6, 6, 2, 10, 2, 10, 10, 2, 1, 6, 6, 2, 9, 1, 6, 10, 2, 5, 1, 2, 2, 1, 2, 1, 2, 1, 1, 6, 1, 1, 10, 4, 1, 6, 1, 6, 6, 6, 1, 1, 6, 1, 2, 2, 6, 6, 10, 2, 6, 2, 6, 6, 6, 1, 10, 6, 10, 10, 5, 10, 1, 5, 10, 6, 10, 1, 6, 1, 2, 9, 10, 6, 1, 6, 6, 1, 6, 10, 1, 6, 6, 10, 6, 1, 2, 1, 10, 10, 2, 10, 6, 2, 1, 2, 1, 2, 6, 1, 10, 10, 6, 10, 10, 6, 1, 1, 6, 10, 10, 10, 10, 10, 2, 6, 10, 1, 6, 10, 1, 6, 6, 6, 2, 10, 10, 10, 7, 2, 1, 1, 2, 6, 6, 6, 6, 1, 1, 6, 2, 5, 6, 6, 0, 6, 1, 1, 10, 1, 1, 6, 2, 10, 1, 6, 2, 10, 2, 6, 6, 6, 10, 10, 10, 1, 6, 1, 1, 2, 2, 2, 6, 6, 6, 2, 10, 1, 1, 6, 6, 10, 1, 2, 6, 6, 1, 1, 1, 1, 10, 10, 2, 2, 1, 6, 10, 2, 2, 6, 2, 1, 6, 6, 10, 6, 50, 6, 9, 2, 2, 10, 6, 2, 10, 1, 6, 2, 2, 1, 10, 10, 6, 1, 10, 6, 1, 10, 1, 6, 1, 10, 0, 6, 6, 2, 1, 1, 2, 10, 2, 10, 6, 1, 10, 10, 1, 10, 2, 2, 1, 2, 5, 1, 10, 6, 10, 10, 1, 4, 2, 10, 1, 1, 1, 1, 1, 0, 1, 6, 6, 2, 6, 10, 2, 2, 6, 0, 10, 10, 6, 1, 1, 1, 6, 6, 6, 1, 6, 1, 2, 2, 10, 2, 6, 1, 6, 1, 4, 1, 1, 1, 6, 2, 10, 10, 6, 6, 10, 10, 6, 1, 10, 10, 6, 1, 1, 2, 2, 10, 6, 2, 4, 10, 6, 6, 10, 2, 6, 1, 6, 2, 6, 2, 10, 6, 10, 10, 1, 6, 1, 10, 6, 2, 0, 9, 10, 10, 10, 10, 10, 2, 6, 10, 6, 10, 1, 10, 10, 10, 10, 10, 10, 6, 6, 10, 6, 1, 2, 2, 2, 6, 2, 1, 2, 10, 6, 2, 1, 6, 6, 10, 1, 1, 6, 1, 2, 10, 6, 6, 1, 6, 6, 6, 2, 10, 2, 6, 6, 6, 10, 2, 6, 10, 2, 10, 6, 10, 6, 10, 2, 10, 1, 6, 10, 6, 2, 2, 6, 10, 1, 6, 0, 2, 2, 1, 1, 0, 6, 2, 2, 10, 2, 10, 6, 6, 10, 2, 1, 6, 2, 1, 10, 1, 1, 10, 2, 2, 10, 1, 2, 2, 10, 1, 1, 10, 6, 2, 10, 6, 2, 1, 1, 6, 2, 6, 1, 9, 1, 2, 1, 10, 1, 2, 6, 5, 1, 6, 6, 1, 2, 6, 2, 2, 6, 1, 10, 2, 6, 2, 6, 2, 2, 2, 6, 6, 6, 10, 6, 2, 6, 0, 6, 1, 6, 6, 2, 2, 2, 6, 1, 2, 1, 2, 2, 1, 2, 10, 10, 10, 1, 1, 6, 1, 2, 6, 1, 10, 10, 10, 2, 5, 4, 10, 1, 1, 2, 6, 10, 10, 10, 10, 10, 2, 1, 2, 10, 1, 1, 10, 1, 1, 10, 2, 10, 6, 1, 10, 2, 10, 1, 6, 2, 6, 1, 6, 4, 10, 2, 2, 2, 6, 1, 10, 10, 6, 2, 10, 10, 1, 10, 1, 1, 6, 1, 10, 5, 6, 1, 9, 10, 2, 10, 2, 6, 10, 1, 10, 2, 10, 1, 1, 1, 10, 1, 6, 1, 10, 10, 1, 9, 5, 6, 10, 2, 2, 10, 1, 10, 6, 2, 1, 6, 10, 10, 10, 1, 10, 10, 1, 10, 6, 6, 10, 1, 10, 2, 1, 1, 1, 10, 6, 4, 6, 10, 10, 6, 10, 2, 1, 1, 2, 2, 2, 6, 1, 2, 2, 1, 6, 6, 10, 2, 2, 2, 6, 1, 2, 6, 2, 6, 6, 2, 10, 6, 1, 6, 10, 10, 10, 1, 6, 10, 6, 10, 2, 4, 10, 6, 2, 1, 1, 1, 10, 1, 10, 6, 1, 10, 2, 2, 5, 10, 6, 2, 4, 1, 1, 10, 6, 10, 6, 1, 10, 6, 1, 6, 2, 2, 6, 10, 10, 2, 0, 10, 2, 10, 10, 1, 2, 6, 6, 6, 2, 1, 2, 1, 2, 2, 10, 10, 1, 10, 1, 6, 6, 1, 6, 2, 1, 6, 2, 2, 10, 10, 10, 2, 6, 6, 10, 1, 1, 6, 10, 2, 1, 6, 2, 10, 10, 10, 1, 6, 1, 6, 10, 6, 10, 1, 1, 10, 1, 10, 10, 2, 30, 1, 6, 10, 6, 10, 0, 10, 6, 9, 6, 6, 10, 6, 1, 10, 6, 2, 10, 2, 6, 2, 10, 2, 10, 2, 2, 6, 10, 10, 6, 2, 6, 1, 10, 2, 6, 2, 6, 6, 1, 1, 10, 10, 6, 6, 6, 1, 1, 6, 2, 10, 2, 2, 2, 10, 2, 2, 10, 6, 2, 6, 1, 6, 10, 50, 6, 1, 2, 10, 6, 2, 6, 6, 2, 6, 2, 6, 10, 10, 2, 1, 1, 2, 6, 10, 2, 2, 6, 1, 6, 2, 2, 1, 6, 1, 6, 2, 1, 1, 1, 1, 6, 1, 1, 1, 2, 10, 1, 6, 6, 2, 6, 6, 10, 1, 6, 1, 2, 6, 1, 2, 6, 1, 1, 1, 6, 2, 6, 6, 6, 6, 2, 6, 6, 6, 2, 2, 6, 6, 2, 2, 6, 10, 6, 6, 10, 10, 1, 2, 10, 1, 1, 1, 2, 2, 9, 6, 1, 10, 2, 10, 2, 9, 1, 10, 1, 1, 1, 6, 2, 1, 6, 6, 10, 2, 2, 6, 1, 6, 10, 1, 6, 6, 6, 2, 10, 2, 2, 6, 6, 6, 6, 10, 1, 1, 6, 10, 6, 2, 2, 2, 1, 6, 10, 1, 1, 10, 6, 10, 10, 6, 5, 1, 1, 2, 1, 10, 6, 1, 2, 6, 2, 10, 10, 6, 2, 1, 6, 1, 1, 6, 1, 10, 10, 10, 10, 10, 1, 10, 2, 10, 10, 2, 10, 10, 10, 6, 2, 10, 6, 6, 2, 0, 2, 1, 1, 6, 2, 1, 6, 1, 1, 10, 2, 6, 2, 6, 2, 6, 10, 10, 2, 10, 1, 6, 10, 2, 2, 10, 6, 10, 2, 0, 6, 6, 10, 40, 6, 10, 2, 1, 6, 6, 1, 2, 4, 6, 1, 1, 1, 1, 1, 1, 10, 2, 10, 1, 2, 6, 10, 10, 1, 1, 2, 6, 6, 2, 1, 1, 6, 10, 1, 2, 2, 6, 10, 10, 10, 1, 6, 10, 6, 6, 1, 6, 6, 10, 6, 4, 7, 1, 1, 6, 6, 6, 6, 1, 2, 2, 10, 1, 2, 6, 6, 1, 1, 6, 2, 6, 6, 10, 6, 10, 10, 6, 10, 10, 6, 10, 1, 2, 6, 2, 6, 6, 1, 6, 1, 10, 1, 2, 2, 1, 2, 6, 6, 10, 1, 6, 10, 2, 10, 2, 6, 6, 1, 2, 2, 1, 1, 10, 1, 6, 8, 6, 1, 10, 6, 10, 1, 2, 6, 10, 9, 6, 2, 2, 10, 2, 10, 2, 2, 10, 10, 10, 2, 6, 10, 1, 10, 2, 5, 1, 1, 1, 2, 2, 6, 2, 10, 2, 10, 1, 1, 1, 10, 1, 1, 6, 1, 10, 1, 10, 1, 1, 6, 10, 1, 1, 10, 10, 4, 10, 6, 10, 10, 6, 10, 6, 10, 2, 2, 10, 1, 6, 10, 1, 1, 1, 6, 10, 10, 2, 10, 6, 1, 1, 2, 6, 10, 6, 1, 6, 6, 10, 10, 1, 6, 6, 6, 10, 2, 10, 6, 2, 10, 10, 10, 1, 6, 6, 1, 6, 2, 2, 6, 2, 6, 2, 10, 1, 1, 1, 10, 1, 10, 10, 6, 6, 5, 10, 10, 1, 6, 1, 10, 1, 10, 6, 2, 10, 2, 2, 6, 6, 10, 2, 2, 2, 2, 9, 1, 1, 10, 2, 2, 1, 10, 2, 10, 10, 6, 10, 1, 2, 6, 1, 1, 10, 1, 2, 6, 1, 5, 2, 6, 1, 2, 1, 6, 2, 10, 6, 1, 9, 1, 2, 1, 6, 10, 2, 10, 2, 10, 10, 10, 2, 1, 6, 10, 1, 1, 6, 2, 6, 6, 6, 2, 10, 10, 10, 6, 10, 2, 2, 10, 1, 10, 1, 10, 6, 6, 1, 10, 10, 6, 1, 2, 10, 10, 6, 10, 2, 10, 6, 10, 10, 1, 6, 10, 1, 2, 2, 10, 6, 1, 10, 10, 6, 2, 1, 5, 1, 6, 1, 9, 1, 6, 2, 1, 1, 6, 6, 2, 6, 6, 1, 6, 10, 9, 1, 10, 10, 6, 6, 6, 5, 1, 1, 1, 1, 1, 1, 6, 1, 6, 2, 10, 6, 10, 10, 10, 6, 10, 6, 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10, 10, 1, 2, 1, 2, 1, 2, 9, 2, 1, 6, 2, 6, 6, 2, 2, 2, 10, 10, 6, 6, 6, 2, 10, 10, 2, 10, 2, 0, 10, 6, 2, 2, 2, 2, 1, 2, 6, 10, 1, 10, 0, 10, 10, 2, 1, 6, 2, 6, 10, 6, 2, 1, 6, 10, 2, 6, 6, 1, 6, 2, 10, 2, 1, 6, 1, 10, 1, 1, 1, 10, 2, 10, 1, 2, 1, 10, 2, 6, 1, 10, 1, 2, 5, 6, 2, 1, 6, 1, 2, 10, 6, 0, 6, 1, 10, 1, 6, 4, 10, 2, 10, 1, 2, 1, 6, 6, 6, 1, 1, 6, 1, 5, 2, 6, 6, 1, 10, 6, 1, 1, 2, 1, 2, 2, 1, 2, 10, 6, 1, 6, 1, 2, 10, 2, 10, 6, 2, 1, 2, 2, 10, 10, 6, 1, 10, 2, 10, 2, 10, 1, 6, 2, 10, 1, 10, 1, 5, 10, 1, 2, 6, 2, 6, 6, 6, 10, 1, 10, 1, 10, 10, 6, 1, 1, 6, 10, 10, 1, 6, 2, 10, 6, 1, 6, 1, 10, 6, 1, 6, 1, 1, 2, 1, 1, 10, 6, 10, 1, 6, 2, 1, 1, 10, 10, 2, 10, 1, 2, 2, 6, 6, 2, 1, 2, 10, 1, 6, 2, 10, 1, 10, 2, 2, 6, 2, 1, 2, 1, 10, 6, 1, 9, 1, 2, 2, 10, 1, 2, 1, 6, 1, 2, 6, 6, 1, 0, 6, 6, 6, 2, 1, 10, 10, 6, 2, 1, 6, 6, 1, 2, 10, 10, 2, 1, 10, 2, 6, 2, 0, 2, 2, 2, 6, 6, 2, 6, 6, 6, 2, 2, 1, 2, 1, 10, 1, 6, 10, 1, 10, 2, 6, 1, 5, 6, 10, 1, 0, 2, 6, 6, 6, 10, 10, 6, 6, 10, 1, 1, 10, 6, 6, 10, 1, 6, 1, 2, 1, 1, 6, 1, 1, 1, 10, 1, 1, 10, 6, 2, 2, 10, 1, 10, 1, 2, 2, 1, 10, 1, 10, 1, 2, 6, 1, 2, 6, 10, 1, 2, 6, 10, 2, 10, 1, 2, 6, 6, 6, 2, 6, 2, 1, 2, 9, 10, 10, 6, 6, 1, 10, 10, 1, 4, 10, 10, 2, 1, 1, 0, 2, 6, 6, 10, 2, 2, 10, 2, 10, 10, 4, 6, 1, 10, 1, 10, 1, 10, 10, 2, 10, 10, 6, 2, 1, 10, 10, 1, 6, 1, 6, 1, 10, 6, 0, 1, 10, 10, 10, 2, 1, 2, 6, 2, 2, 1, 6, 2, 10, 10, 6, 10, 1, 1, 6, 1, 2, 10, 6, 10, 1, 6, 2, 1, 1, 10, 2, 2, 2, 1, 2, 1, 2, 10, 2, 1, 2, 6, 1, 6, 2, 2, 10, 2, 10, 1, 10, 10, 2, 1, 1, 2, 10, 2, 6, 1, 2, 1, 10, 6, 6, 6, 6, 2, 1, 1, 2, 2, 1, 1, 10, 6, 1, 6, 10, 10, 2, 1, 10, 1, 1, 10, 2, 2, 2, 6, 6, 1, 2, 6, 5, 2, 6, 1, 10, 1, 10, 1, 10, 6, 1, 10, 2, 1, 10, 6, 2, 6, 6, 1, 10, 1, 2, 1, 6, 10, 2, 2, 6, 2, 1, 10, 6, 4, 6, 10, 1, 2, 2, 1, 1, 1, 1, 2, 10, 10, 2, 6, 6, 6, 2, 2, 10, 10, 6, 1, 1, 6, 6, 2, 6, 1, 2, 1, 1, 0, 10, 1, 10, 1, 10, 1, 10, 1, 2, 9, 10, 2, 1, 10, 6, 2, 6, 2, 5, 2, 10, 2, 2, 10, 2, 10, 6, 1, 6, 10, 1, 10, 2, 1, 2, 6, 50, 2, 10, 6, 6, 1, 1, 6, 2, 2, 6, 6, 2, 1, 10, 2, 1, 10, 10, 10, 6, 6, 1, 10, 2, 2, 6, 2, 10, 1, 2, 10, 1, 2, 1, 6, 1, 6, 2, 10, 2, 6, 2, 1, 2, 6, 1, 10, 2, 6, 1, 6, 2, 1, 10, 2, 1, 1, 6, 2, 2, 1, 2, 1, 1, 10, 10, 1, 10, 2, 10, 2, 6, 4, 9, 1, 2, 1, 10, 10, 6, 2, 1, 6, 1, 10, 6, 1, 10, 2, 10, 10, 6, 1, 6, 6, 10, 6, 1, 10, 1, 1, 6, 10, 6, 6, 1, 1, 2, 6, 10, 1, 10, 6, 6, 6, 10, 1, 10, 10, 2, 2, 2, 6, 10, 1, 2, 1, 1, 2, 10, 2, 1, 1, 10, 10, 6, 6, 10, 1, 10, 10, 6, 1, 2, 10, 10, 6, 1, 9, 1, 10, 1, 2, 10, 5, 10, 2, 2, 10, 10, 2, 10, 6, 2, 10, 1, 5, 1, 2, 10, 2, 6, 10, 1, 1, 1, 6, 2, 6, 2, 6, 6, 1, 10, 10, 1, 2, 6, 6, 2, 6, 6, 1, 9, 6, 1, 1, 6, 10, 1, 5, 6, 2, 6, 10, 6, 6, 2, 2, 10, 1, 10, 10, 2, 10, 1, 6, 2, 2, 10, 2, 2, 10, 6, 10, 2, 10, 10, 6, 10, 2, 1, 6, 1, 6, 6, 10, 6, 6, 10, 10, 2, 1, 6, 6, 1, 6, 6, 10, 6, 5, 2, 10, 10, 2, 1, 10, 6, 2, 10, 6, 10, 6, 10, 6, 1, 1, 2, 5, 2, 6, 6, 6, 1, 6, 2, 2, 10, 6, 10, 6, 10, 6, 2, 10, 10, 1, 6, 2, 6, 6, 6, 10, 6, 1, 1, 1, 6, 10, 6, 2, 10, 10, 6, 1, 10, 1, 10, 1, 2, 2, 10, 6, 2, 2, 6, 10, 10, 1, 1, 6, 6, 2, 1, 1, 6, 2, 6, 2, 2, 6, 6, 10, 2, 2, 1, 10, 10, 0, 4, 10, 10, 1, 1, 6, 6, 10, 2, 10, 10, 2, 6, 10, 2, 6, 2, 6, 6, 2, 1, 6, 10, 10, 1, 10, 1, 10, 6, 2, 1, 1, 6, 6, 10, 1, 1, 10, 6, 2, 1, 2, 10, 10, 2, 10, 6, 6, 2, 2, 6, 10, 6, 6, 1, 6, 10, 6, 1, 1, 2, 10, 2, 6, 6, 1, 6, 10, 1, 6, 2, 10, 10, 6, 10, 2, 1, 1, 6, 10, 1, 1, 6, 10, 6, 6, 10, 1, 2, 2, 6, 1, 10, 1, 2, 1, 6, 10, 1, 1, 4, 2, 6, 1, 10, 1, 1, 1, 10, 1, 2, 4, 2, 6, 2, 1, 6, 6, 2, 6, 1, 6, 6, 2, 10, 2, 2, 1, 1, 6, 2, 6, 2, 2, 1, 2, 2, 6, 6, 1, 10, 10, 2, 1, 10, 1, 2, 1, 2, 1, 10, 6, 1, 6, 1, 6, 1, 2, 10, 1, 2, 1, 2, 1, 10, 6, 10, 6, 1, 2, 2, 2, 6, 10, 6, 2, 10, 6, 6, 9, 6, 5, 2, 2, 10, 10, 0, 10, 6, 10, 6, 2, 2, 2, 2, 1, 10, 1, 10, 6, 10, 10, 10, 1, 6, 10, 10, 1, 1, 2, 2, 10, 6, 1, 6, 2, 1, 2, 6, 2, 6, 2, 2, 2, 1, 2, 10, 1, 1, 10, 1, 6, 1, 1, 2, 1, 2, 2, 2, 2, 6, 10, 1, 10, 0, 2, 2, 2, 10, 2, 1, 1, 6, 6, 1, 2, 1, 6, 1, 1, 1, 2, 2, 5, 10, 6, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 1, 6, 10, 2, 10, 10, 6, 6, 2, 2, 2, 5, 10, 2, 10, 10, 2, 2, 2, 0, 10, 6, 1, 6, 10, 1, 2, 2, 6, 6, 10, 6, 1, 6, 10, 6, 1, 10, 1, 10, 6, 6, 10, 2, 2, 1, 2, 10, 10, 6, 2, 6, 2, 10, 1, 1, 2, 2, 6, 10, 6, 6, 1, 1, 2, 6, 6, 2, 2, 1, 10, 2, 1, 10, 2, 2, 1, 6, 1, 10, 6, 10, 10, 10, 2, 1, 2, 1, 6, 2, 10, 6, 2, 2, 5, 10, 6, 6, 1, 10, 2, 1, 1, 1, 10, 6, 6, 2, 6, 2, 1, 1, 2, 10, 6, 2, 6, 6, 1, 2, 2, 1, 1, 2, 1, 10, 1, 10, 10, 10, 1, 1, 2, 6, 2, 1, 10, 10, 1, 10, 6, 10, 6, 6, 2, 1, 2, 1, 2, 5, 6, 2, 6, 6, 1, 2, 1, 6, 6, 1, 1, 6, 2, 1, 9, 10, 1, 6, 2, 2, 2, 6, 10, 1, 1, 6, 2, 10, 2, 2, 2, 2, 1, 10, 2, 6, 2, 2, 10, 10, 2, 10, 6, 1, 6, 1, 10, 10, 1, 2, 10, 1, 2, 5, 2, 1, 10, 10, 6, 1, 6, 10, 2, 1, 6, 2, 2, 2, 2, 2, 6, 10, 10, 10, 2, 2, 1, 10, 2, 1, 1, 10, 10, 2, 10, 1, 1, 2, 6, 6, 6, 6, 10, 1, 10, 1, 1, 1, 10, 1, 10, 1, 2, 6, 6, 1, 6, 10, 10, 6, 6, 2, 1, 1, 10, 6, 2, 6, 10, 2, 1, 1, 6, 2, 10, 10, 0, 6, 10, 2, 6, 10, 6, 10, 1, 2, 6, 10, 10, 1, 2, 1, 1, 2, 10, 6, 6, 1, 10, 10, 10, 2, 1, 1, 10, 6, 10, 6, 1, 1, 10, 6, 1, 2, 0, 6, 2, 2, 1, 6, 2, 1, 1, 2, 10, 6, 10, 6, 6, 2, 1, 2, 1, 2, 1, 6, 1, 6, 1, 2, 10, 6, 1, 2, 6, 1, 10, 1, 1, 10, 6, 10, 5, 10, 6, 10, 6, 6, 6, 10, 1, 1, 1, 1, 6, 10, 2, 2, 10, 2, 1, 10, 10, 10, 6, 2, 2, 10, 6, 1, 2, 10, 1, 2, 6, 1, 1, 10, 1, 10, 1, 1, 10, 6, 6, 1, 6, 10, 6, 1, 10, 1, 10, 6, 1, 6, 6, 1, 1, 1, 6, 2, 1, 2, 2, 2, 6, 6, 6, 10, 1, 6, 10, 1, 2, 6, 10, 1, 8, 1, 10, 1, 10, 2, 10, 5, 10, 6, 2, 6, 6, 2, 10, 6, 2, 6, 10, 1, 1, 6, 10, 1, 6, 1, 6, 2, 1, 6, 10, 1, 6, 1, 1, 6, 1, 6, 4, 2, 1, 6, 10, 2, 6, 4, 2, 4, 10, 1, 2, 1, 1, 4, 10, 10, 6, 1, 6, 1, 2, 10, 10, 6, 1, 6, 2, 1, 2, 4, 1, 1, 6, 1, 6, 10, 10, 6, 2, 10, 6, 1, 1, 6, 6, 1, 1, 6, 2, 10, 6, 10, 1, 6, 10, 6, 1, 6, 1, 1, 2, 2, 2, 1, 2, 2, 10, 2, 6, 1, 1, 10, 1, 10, 10, 2, 2, 1, 6, 2, 6, 6, 2, 2, 10, 1, 1, 6, 10, 9, 10, 1, 2, 1, 6, 4, 1, 2, 10, 10, 1, 2, 1, 1, 1, 2, 10, 2, 1, 6, 6, 2, 10, 2, 6, 10, 6, 2, 10, 1, 10, 10, 1, 6, 6, 2, 2, 6, 10, 2, 1, 6, 1, 10, 1, 6, 10, 6, 2, 10, 10, 1, 1, 6, 6, 6, 2, 2, 1, 2, 2, 8, 2, 2, 10, 10, 10, 10, 10, 10, 10, 10, 10, 1, 1, 2, 1, 10, 6, 6, 2, 6, 1, 10, 10, 10, 2, 10, 1, 6, 6, 6, 6, 10, 6, 1, 1, 6, 10, 10, 6, 1, 1, 10, 5, 10, 10, 2, 4, 1, 2, 2, 1, 6, 2, 1, 10, 2, 10, 2, 10, 10, 1, 10, 2, 10, 2, 6, 6, 1, 2, 6, 2, 2, 10, 6, 1, 6, 10, 2, 1, 6, 1, 1, 10, 6, 10, 10, 2, 1, 2, 10, 1, 6, 2, 1, 6, 1, 1, 6, 2, 1, 6, 2, 10, 2, 2, 10, 10, 1, 2, 10, 2, 6, 1, 4, 10, 10, 2, 2, 2, 1, 1, 10, 1, 1, 2, 2, 2, 10, 1, 2, 1, 1, 10, 2, 6, 1, 2, 1, 2, 6, 1, 6, 2, 10, 10, 10, 1, 1, 2, 10, 6, 2, 2, 5, 10, 1, 1, 9, 1, 1, 1, 6, 1, 6, 2, 10, 1, 1, 6, 1, 10, 6, 6, 6, 6, 1, 6, 1, 2, 6, 10, 1, 6, 2, 10, 3, 2, 10, 10, 2, 9, 6, 6, 2, 6, 2, 10, 9, 10, 10, 1, 6, 2, 1, 10, 10, 6, 6, 6, 2, 1, 6, 10, 10, 10, 2, 10, 6, 6, 1, 2, 1, 6, 10, 2, 6, 1, 2, 2, 6, 2, 1, 1, 6, 6, 6, 2, 2, 6, 10, 6, 1, 1, 6, 2, 2, 6, 6, 10, 6, 9, 6, 2, 2, 10, 2, 6, 1, 6, 6, 2, 6, 2, 1, 10, 10, 2, 6, 1, 1, 10, 10, 1, 6, 6, 2, 10, 5, 6, 10, 1, 1, 2, 2, 2, 2, 1, 2, 10, 10, 4, 10, 6, 7, 6, 1, 6, 10, 6, 6, 1, 10, 6, 10, 6, 6, 2, 10, 10, 2, 10, 6, 10, 10, 1, 10, 6, 6, 1, 6, 6, 6, 1, 6, 10, 6, 2, 6, 2, 10, 10, 1, 2, 1, 6, 10, 10, 1, 10, 2, 1, 10, 6, 4, 2, 2, 2, 6, 1, 10, 6, 6, 1, 6, 2, 2, 10, 10, 1, 6, 6, 10, 2, 2, 2, 2, 10, 2, 2, 10, 2, 2, 2, 10, 6, 6, 6, 1, 2, 6, 2, 6, 6, 6, 1, 1, 1, 2, 6, 6, 1, 0, 1, 2, 6, 1, 2, 10, 0, 2, 1, 10, 2, 6, 10, 6, 10, 10, 6, 6, 10, 6, 6, 1, 1, 2, 10, 2, 1, 6, 0, 10, 1, 1, 10, 1, 9, 10, 1, 10, 2, 6, 10, 10, 6, 1, 2, 10, 1, 10, 10, 0, 10, 10, 10, 6, 1, 2, 1, 1, 10, 2, 1, 1, 1, 10, 10, 10, 6, 2, 1, 10, 2, 2, 2, 2, 1, 10, 10, 6, 1, 1, 1, 4, 1, 10, 10, 1, 10, 6, 10, 10, 2, 10, 1, 10, 1, 2, 1, 6, 2, 10, 1, 10, 1, 2, 2, 2, 1, 10, 10, 2, 6, 10, 6, 1, 2, 6, 1, 1, 2, 1, 9, 2, 10, 10, 10, 6, 6, 6, 6, 6, 1, 2, 1, 1, 6, 1, 1, 6, 6, 10, 2, 10, 1, 2, 10, 6, 2, 2, 6, 1, 10, 10, 1, 2, 1, 6, 6, 6, 10, 6, 6, 1, 2, 1, 10, 6, 20, 6, 10, 6, 1, 6, 6, 6, 2, 10, 2, 6, 1, 6, 1, 10, 10, 6, 2, 2, 1, 6, 6, 6, 10, 10, 2, 2, 6, 2, 1, 9, 2, 6, 2, 2, 10, 2, 6, 10, 1, 10, 1, 10, 2, 5, 6, 10, 10, 1, 10, 6, 10, 6, 1, 1, 1, 1, 6, 1, 2, 2, 10, 1, 1, 2, 2, 2, 1, 2, 1, 6, 1, 2, 10, 10, 4, 1, 2, 0, 10, 1, 1, 10, 1, 2, 10, 6, 5, 10, 2, 1, 1, 1, 1, 10, 1, 10, 10, 2, 6, 6, 10, 6, 6, 6, 2, 0, 10, 2, 6, 10, 1, 6, 10, 2, 10, 1, 10, 2, 10, 2, 2, 10, 2, 1, 2, 1, 2, 6, 1, 6, 2, 2, 1, 6, 10, 10, 4, 6, 10, 2, 2, 2, 2, 6, 6, 10, 1, 2, 6, 2, 1, 6, 1, 2, 6, 6, 1, 2, 6, 10, 10, 10, 1, 6, 2, 10, 1, 1, 10, 10, 6, 10, 2, 10, 6, 6, 2, 1, 1, 6, 1, 6, 2, 10, 2, 10, 10, 2, 6, 6, 10, 6, 10, 2, 6, 6, 6, 10, 1, 1, 2, 10, 1, 2, 6, 1, 10, 1, 6, 10, 10, 2, 2, 6, 2, 2, 6, 1, 10, 0, 1, 2, 6, 10, 1, 10, 6, 2, 2, 1, 1, 6, 6, 6, 10, 10, 2, 1, 6, 2, 6, 1, 0, 6, 0, 10, 10, 10, 1, 2, 10, 2, 6, 1, 2, 10, 10, 1, 10, 2, 10, 2, 2, 10, 10, 1, 6, 2, 6, 1, 10, 4, 10, 10, 9, 10, 10, 6, 6, 2, 10, 6, 6, 1, 6, 10, 1, 2, 2, 10, 2, 5, 2, 2, 0, 6, 10, 6, 6, 6, 2, 10, 6, 10, 6, 2, 1, 2, 6, 2, 6, 5, 2, 1, 1, 10, 4, 0, 2, 10, 1, 6, 6, 0, 10, 2, 6, 10, 1, 1, 2, 10, 1, 1, 2, 2, 10, 2, 1, 2, 10, 1, 2, 2, 2, 6, 10, 1, 6, 2, 1, 6, 1, 2, 1, 2, 10, 10, 5, 1, 2, 6, 6, 6, 6, 1, 1, 2, 6, 2, 0, 10, 2, 6, 2, 2, 5, 10, 6, 1, 2, 2, 10, 1, 2, 10, 1, 4, 1, 2, 1, 10, 10, 1, 10, 1, 10, 6, 6, 1, 6, 1, 2, 1, 2, 10, 6, 1, 10, 6, 10, 10, 10, 6, 10, 2, 6, 2, 2, 5, 1, 2, 1, 6, 10, 10, 10, 10, 10, 10, 10, 6, 10, 10, 1, 10, 10, 6, 2, 1, 2, 6, 6, 2, 2, 10, 10, 1, 2, 1, 1, 2, 6, 4, 2, 6, 4, 9, 10, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 10, 1, 1, 1, 6, 2, 2, 10, 1, 6, 2, 2, 6, 2, 9, 6, 1, 10, 10, 2, 2, 2, 2, 6, 2, 6, 6, 10, 6, 10, 6, 1, 1, 2, 6, 6, 2, 10, 2, 6, 6, 10, 10, 10, 2, 6, 2, 6, 2, 2, 2, 2, 10, 6, 10, 2, 10, 2, 10, 6, 1, 10, 2, 2, 6, 6, 10, 1, 10, 10, 10, 6, 6, 1, 6, 10, 2, 6, 10, 1, 10, 2, 10, 6, 6, 5, 1, 10, 2, 6, 10, 10, 10, 6, 1, 6, 5, 1, 1, 2, 6, 1, 2, 1, 10, 1, 6, 2, 6, 2, 2, 2, 6, 2, 6, 10, 10, 6, 6, 1, 0, 1, 10, 10, 2, 6, 1, 1, 6, 6, 2, 1, 6, 6, 10, 1, 6, 6, 6, 2, 2, 10, 2, 10, 1, 10, 2, 10, 2, 10, 10, 2, 1, 2, 1, 6, 10, 9, 10, 6, 1, 1, 9, 2, 1, 2, 6, 1, 1, 1, 1, 5, 10, 2, 2, 1, 1, 1, 1, 6, 6, 1, 10, 2, 2, 10, 1, 10, 6, 2, 6, 2, 6, 6, 10, 1, 1, 1, 6, 1, 2, 6, 2, 6, 1, 1, 6, 6, 10, 2, 2, 6, 2, 10, 6, 2, 9, 1, 1, 6, 10, 10, 10, 10, 6, 6, 6, 10, 0, 2, 1, 2, 2, 10, 1, 1, 6, 2, 1, 2, 1, 2, 10, 6, 2, 6, 1, 2, 10, 1, 10, 1, 2, 10, 1, 6, 10, 2, 2, 6, 1, 10, 2, 10, 6, 2, 6, 10, 10, 1, 6, 2, 1, 1, 10, 2, 6, 10, 10, 10, 2, 6, 1, 1, 1, 2, 10, 10, 1, 6, 10, 1, 6, 2, 6, 1, 2, 1, 2, 2, 6, 10, 6, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 10, 1, 1, 2, 2, 4, 1, 6, 10, 10, 2, 6, 10, 10, 1, 6, 6, 2, 2, 2, 2, 2, 6, 1, 1, 2, 2, 6, 2, 1, 6, 6, 10, 6, 10, 10, 6, 10, 10, 10, 1, 2, 6, 1, 2, 2, 1, 10, 1, 10, 2, 6, 0, 10, 2, 6, 1, 2, 1, 6, 6, 10, 10, 1, 1, 2, 5, 2, 4, 2, 2, 2, 1, 2, 1, 10, 10, 1, 1, 2, 2, 1, 6, 6, 0, 6, 6, 2, 6, 2, 6, 6, 1, 2, 1, 2, 10, 1, 1, 2, 6, 1, 6, 10, 10, 10, 6, 10, 6, 6, 10, 10, 5, 1, 2, 2, 6, 10, 10, 1, 6, 6, 5, 2, 6, 6, 1, 1, 1, 4, 2, 2, 2, 2, 6, 6, 2, 1, 2, 2, 6, 10, 10, 1, 1, 1, 0, 10, 6, 1, 6, 2, 2, 2, 10, 2, 10, 1, 1, 2, 10, 1, 9, 1, 6, 6, 1, 2, 2, 1, 2, 1, 1, 10, 6, 6, 10, 2, 2, 1, 10, 6, 6, 2, 1, 1, 6, 1, 1, 10, 2, 10, 4, 6, 2, 1, 2, 10, 1, 6, 2, 6, 10, 10, 1, 10, 2, 2, 1, 10, 6, 1, 9, 2, 6, 2, 6, 6, 10, 0, 10, 10, 2, 2, 1, 6, 1, 2, 1, 1, 6, 1, 2, 6, 6, 2, 1, 10, 2, 2, 10, 10, 6, 1, 6, 1, 10, 6, 10, 2, 6, 2, 1, 2, 10, 5, 6, 2, 1, 2, 2, 10, 2, 10, 6, 1, 1, 6, 10, 2, 6, 10, 10, 10, 2, 1, 6, 6, 6, 1, 2, 6, 10, 10, 1, 6, 10, 10, 10, 10, 6, 1, 2, 1, 6, 1, 10, 1, 9, 6, 10, 1, 2, 6, 1, 2, 2, 10, 2, 6, 2, 6, 1, 6, 6, 1, 1, 2, 1, 6, 2, 1, 10, 10, 2, 5, 10, 1, 2, 1, 10, 10, 2, 10, 2, 1, 2, 6, 9, 10, 1, 10, 10, 6, 10, 1, 1, 2, 1, 10, 10, 1, 10, 1, 2, 2, 2, 10, 10, 2, 2, 1, 9, 6, 6, 6, 2, 2, 6, 10, 10, 6, 10, 2, 2, 2, 1, 10, 2, 1, 1, 6, 10, 2, 1, 10, 2, 6, 0, 1, 6, 10, 1, 1, 1, 6, 1, 6, 2, 6, 6, 1, 2, 10, 1, 1, 1, 6, 6, 2, 10, 10, 6, 1, 10, 1, 6, 0, 1, 6, 10, 2, 10, 6, 6, 1, 10, 2, 1, 6, 1, 10, 2, 1, 2, 6, 6, 6, 1, 2, 6, 6, 6, 1, 2, 10, 6, 1, 10, 2, 2, 2, 1, 2, 1, 9, 10, 10, 1, 6, 10, 6, 2, 2, 6, 2, 6, 6, 2, 1, 6, 6, 4, 1, 10, 10, 5, 6, 6, 6, 9, 2, 6, 5, 6, 1, 10, 1, 6, 6, 1, 6, 10, 10, 6, 10, 6, 9, 6, 2, 6, 0, 6, 0, 10, 2, 1, 2, 1, 10, 1, 2, 2, 1, 10, 6, 10, 1, 5, 1, 6, 1, 6, 6, 10, 2, 10, 1, 6, 1, 6, 2, 10, 5, 6, 10, 2, 1, 1, 1, 6, 10, 1, 1, 6, 10, 10, 2, 2, 10, 6, 10, 6, 1, 1, 2, 6, 10, 1, 1, 1, 2, 1, 10, 4, 2, 2, 2, 1, 2, 1, 2, 6, 1, 2, 2, 1, 6, 1, 1, 1, 6, 6, 2, 1, 10, 10, 1, 6, 1, 2, 6, 6, 6, 6, 10, 2, 0, 1, 2, 10, 1, 10, 10, 6, 1, 1, 1, 2, 1, 1, 2, 10, 6, 4, 10, 10, 10, 10, 10, 9, 6, 2, 10, 6, 2, 6, 1, 1, 1, 1, 6, 1, 10, 10, 1, 2, 10, 2, 6, 2, 6, 2, 10, 10, 1, 1, 6, 10, 1, 10, 10, 6, 1, 1, 2, 10, 6, 6, 2, 2, 2, 6, 1, 10, 2, 1, 1, 2, 1, 1, 10, 2, 1, 10, 10, 10, 2, 6, 2, 2, 10, 1, 2, 1, 6, 2, 10, 6, 6, 1, 10, 9, 2, 2, 2, 6, 10, 2, 6, 2, 1, 6, 1, 1, 2, 10, 10, 10, 1, 6, 10, 10, 6, 2, 2, 4, 1, 2, 1, 2, 2, 0, 1, 10, 6, 2, 10, 6, 6, 1, 1, 6, 1, 10, 2, 1, 10, 10, 6, 2, 6, 6, 1, 1, 6, 1, 10, 2, 1, 2, 2, 6, 1, 1, 2, 1, 2, 6, 10, 10, 6, 10, 1, 2, 2, 6, 1, 2, 6, 1, 2, 10, 10, 2, 10, 10, 10, 1, 1, 6, 10, 1, 2, 6, 6, 10, 10, 2, 6, 1, 10, 10, 2, 10, 10, 1, 6, 1, 6, 6, 1, 6, 10, 1, 6, 6, 1, 2, 2, 6, 6, 2, 6, 2, 2, 2, 10, 2, 10, 1, 10, 10, 6, 1, 10, 6, 2, 6, 10, 2, 6, 2, 1, 1, 10, 6, 1, 1, 10, 6, 10, 6, 6, 6, 2, 1, 6, 2, 2, 10, 2, 10, 6, 1, 10, 2, 1, 1, 1, 10, 1, 1, 1, 2, 10, 1, 2, 1, 2, 10, 1, 1, 1, 1, 2, 10, 2, 6, 10, 2, 6, 2, 10, 2, 1, 6, 2, 6, 10, 10, 1, 2, 2, 6, 10, 2, 1, 1, 1, 10, 10, 1, 2, 1, 1, 1, 1, 4, 2, 1, 1, 2, 10, 6, 6, 10, 1, 1, 10, 10, 0, 1, 1, 10, 10, 10, 6, 6, 1, 10, 1, 1, 10, 10, 10, 2, 6, 1, 2, 10, 2, 10, 6, 1, 2, 10, 2, 2, 10, 1, 1, 1, 10, 10, 10, 10, 2, 6, 6, 10, 1, 10, 5, 10, 1, 1, 2, 2, 6, 10, 10, 10, 6, 10, 1, 1, 6, 6, 10, 2, 10, 6, 1, 6, 6, 10, 1, 6, 2, 2, 2, 10, 6, 10, 6, 2, 1, 10, 1, 6, 2, 1, 1, 2, 10, 1, 2, 1, 1, 6, 1, 10, 2, 2, 10, 10, 1, 6, 10, 9, 10, 1, 6, 1, 6, 6, 6, 2, 6, 10, 2, 2, 10, 6, 1, 1, 2, 10, 6, 6, 1, 2, 1, 10, 1, 6, 2, 1, 10, 10, 1, 10, 2, 1, 2, 10, 1, 1, 6, 10, 6, 2, 2, 10, 10, 10, 10, 10, 2, 2, 6, 6, 6, 10, 10, 1, 1, 2, 2, 6, 1, 1, 2, 10, 0, 6, 2, 1, 2, 5, 1, 6, 2, 1, 6, 1, 6, 2, 10, 10, 2, 2, 2, 2, 6, 6, 1, 2, 10, 1, 1, 10, 10, 1, 2, 10, 6, 2, 6, 6, 2, 1, 6, 10, 10, 10, 10, 2, 6, 10, 6, 2, 10, 6, 10, 1, 1, 1, 10, 1, 6, 1, 2, 1, 1, 2, 1, 1, 2, 10, 6, 6, 2, 2, 10, 2, 2, 2, 2, 6, 6, 10, 2, 6, 10, 2, 2, 6, 1, 6, 2, 6, 10, 2, 6, 10, 6, 6, 1, 10, 2, 10, 10, 10, 1, 10, 1, 10, 6, 1, 10, 6, 10, 6, 1, 6, 6, 6, 1, 1, 6, 10, 10, 10, 6, 2, 7, 6, 6, 10, 1, 6, 10, 1, 6, 2, 1, 1, 1, 6, 2, 1, 2, 6, 1, 1, 2, 10, 10, 1, 6, 6, 2, 2, 6, 1, 2, 10, 1, 2, 1, 6, 10, 10, 6, 2, 6, 2, 10, 10, 0, 1, 10, 1, 10, 1, 6, 10, 6, 1, 10, 2, 6, 10, 10, 2, 1, 1, 6, 6, 1, 10, 6, 2, 2, 6, 2, 4, 2, 1, 10, 6, 1, 1, 10, 1, 10, 1, 2, 2, 6, 6, 10, 1, 2, 6, 6, 6, 6, 6, 10, 1, 6, 10, 2, 2, 6, 10, 1, 6, 2, 1, 1, 2, 6, 1, 2, 6, 1, 1, 6, 2, 1, 2, 10, 10, 10, 2, 10, 6, 1, 1, 6, 1, 2, 2, 6, 1, 2, 2, 6, 6, 1, 10, 1, 10, 6, 5, 10, 1, 2, 10, 10, 1, 2, 10, 1, 6, 6, 2, 10, 2, 1, 2, 10, 6, 1, 2, 1, 2, 6, 10, 6, 6, 10, 6, 10, 2, 6, 2, 10, 2, 50, 10, 2, 2, 1, 6, 5, 10, 2, 10, 1, 10, 1, 10, 10, 6, 10, 10, 9, 10, 1, 1, 6, 1, 1, 10, 10, 6, 1, 10, 6, 6, 1, 2, 10, 2, 10, 6, 10, 6, 10, 6, 10, 2, 6, 2, 6, 1, 2, 1, 6, 1, 3, 10, 10, 6, 6, 2, 2, 10, 6, 2, 2, 2, 5, 6, 1, 1, 6, 10, 2, 2, 6, 10, 1, 10, 1, 10, 1, 1, 2, 1, 10, 6, 10, 10, 2, 6, 2, 1, 10, 2, 6, 6, 6, 10, 2, 2, 6, 2, 1, 6, 10, 6, 10, 1, 6, 6, 6, 6, 10, 6, 1, 10, 2, 10, 10, 2, 2, 6, 10, 1, 1, 6, 1, 10, 2, 1, 1, 6, 2, 10, 2, 10, 6, 1, 1, 2, 6, 6, 10, 6, 6, 6, 10, 1, 10, 10, 10, 2, 10, 6, 6, 10, 6, 10, 10, 10, 6, 10, 2, 2, 1, 10, 1, 1, 1, 6, 6, 6, 6, 1, 10, 10, 2, 6, 10, 10, 2, 2, 10, 10, 2, 2, 7, 6, 6, 2, 2, 6, 6, 2, 10, 2, 1, 1, 1, 0, 10, 2, 2, 1, 2, 10, 10, 2, 2, 6, 6, 2, 2, 1, 5, 2, 6, 6, 10, 2, 10, 6, 10, 2, 1, 10, 1, 10, 1, 2, 1, 2, 2, 2, 10, 1, 2, 2, 1, 1, 6, 10, 0, 10, 2, 2, 1, 10, 10, 10, 6, 1, 1, 10, 2, 10, 10, 6, 1, 2, 6, 10, 9, 2, 6, 1, 2, 10, 10, 1, 1, 10, 6, 2, 1, 10, 1, 10, 10, 10, 2, 6, 10, 6, 1, 1, 2, 1, 2, 2, 10, 6, 2, 6, 6, 1, 1, 6, 10, 2, 1, 10, 10, 10, 10, 1, 2, 1, 10, 1, 2, 6, 2, 10, 6, 10, 2, 2, 10, 1, 5, 6, 10, 2, 10, 6, 6, 10, 10, 10, 10, 6, 10, 2, 4, 10, 1, 2, 6, 1, 2, 1, 10, 2, 6, 1, 6, 1, 2, 2, 10, 6, 2, 10, 1, 2, 2, 10, 1, 1, 1, 5, 1, 6, 10, 1, 2, 1, 6, 1, 10, 1, 2, 1, 1, 6, 10, 6, 10, 1, 4, 6, 1, 1, 1, 2, 6, 2, 0, 6, 2, 10, 2, 10, 2, 6, 10, 10, 2, 10, 2, 1, 6, 6, 10, 1, 1, 10, 10, 1, 1, 6, 6, 10, 1, 2, 10, 1, 2, 4, 10, 1, 6, 6, 10, 6, 1, 10, 10, 6, 1, 6, 2, 6, 6, 5, 2, 2, 10, 6, 1, 6, 1, 2, 1, 10, 2, 1, 6, 6, 6, 2, 2, 1, 2, 10, 10, 10, 2, 6, 2, 1, 6, 10, 2, 1, 1, 2, 6, 2, 2, 2, 2, 1, 2, 1, 6, 1, 10, 6, 10, 10, 1, 2, 6, 10, 6, 1, 1, 10, 10, 2, 2, 2, 6, 1, 6, 10, 5, 6, 10, 2, 10, 6, 1, 10, 1, 2, 5, 6, 6, 6, 1, 6, 2, 10, 1, 1, 2, 9, 10, 10, 1, 6, 1, 6, 1, 6, 10, 2, 6, 2, 10, 2, 6, 10, 1, 10, 1, 2, 2, 6, 6, 10, 6, 6, 10, 10, 6, 1, 1, 10, 10, 1, 10, 1, 1, 2, 10, 10, 6, 4, 6, 2, 2, 1, 6, 10, 10, 1, 2, 10, 1, 6, 6, 6, 2, 10, 1, 6, 6, 2, 2, 6, 10, 6, 1, 10, 1, 2, 1, 2, 1, 1, 6, 2, 6, 6, 1, 1, 6, 6, 6, 6, 2, 6, 1, 6, 1, 6, 10, 2, 2, 1, 6, 10, 4, 2, 10, 1, 2, 1, 2, 1, 1, 1, 1, 6, 2, 6, 2, 6, 1, 6, 6, 2, 6, 1, 6, 1, 2, 6, 6, 10, 10, 6, 10, 10, 1, 2, 2, 1, 2, 1, 10, 10, 6, 1, 1, 2, 10, 1, 2, 6, 6, 2, 1, 9, 0, 10, 6, 1, 2, 2, 10, 2, 1, 2, 2, 2, 10, 2, 6, 1, 1, 2, 6, 6, 2, 6, 2, 1, 6, 2, 6, 2, 10, 10, 2, 6, 10, 6, 6, 10, 6, 10, 1, 0, 1, 10, 2, 10, 10, 6, 2, 1, 6, 2, 1, 10, 1, 2, 10, 10, 10, 10, 1, 6, 6, 5, 2, 6, 10, 6, 2, 1, 6, 1, 2, 6, 10, 1, 2, 1, 1, 10, 1, 1, 6, 2, 2, 10, 10, 10, 1, 6, 1, 1, 1, 1, 2, 6, 10, 10, 10, 6, 10, 10, 2, 6, 6, 10, 50, 2, 6, 10, 2, 6, 2, 1, 6, 6, 1, 2, 2, 10, 10, 6, 10, 6, 6, 10, 2, 1, 10, 2, 2, 10, 10, 5, 10, 6, 10, 4, 1, 6, 10, 1, 6, 6, 2, 10, 1, 2, 1, 6, 10, 2, 10, 1, 6, 6, 1, 2, 10, 1, 10, 2, 6, 6, 10, 10, 1, 1, 10, 6, 1, 6, 1, 6, 2, 6, 1, 10, 10, 6, 2, 6, 6, 10, 10, 0, 2, 6, 10, 1, 1, 10, 1, 1, 10, 10, 1, 10, 10, 2, 1, 2, 1, 6, 1, 1, 10, 10, 1, 6, 10, 1, 6, 2, 2, 10, 1, 10, 1, 1, 2, 10, 2, 2, 2, 6, 6, 6, 1, 4, 6, 1, 10, 1, 2, 1, 10, 1, 10, 10, 2, 10, 2, 10, 1, 10, 2, 10, 6, 10, 2, 6, 6, 2, 10, 10, 10, 1, 2, 6, 6, 10, 10, 1, 6, 1, 4, 6, 2, 2, 6, 6, 10, 1, 1, 1, 10, 6, 2, 2, 1, 10, 10, 2, 10, 1, 10, 10, 6, 1, 1, 1, 10, 2, 10, 6, 1, 10, 6, 1, 10, 6, 10, 0, 6, 2, 1, 10, 10, 1, 2, 9, 10, 10, 6, 10, 6, 10, 10, 2, 2, 2, 1, 10, 2, 10, 6, 10, 10, 6, 2, 2, 6, 1, 10, 2, 10, 6, 10, 1, 6, 10, 6, 1, 1, 1, 6, 1, 2, 6, 1, 1, 2, 2, 6, 6, 6, 6, 2, 10, 2, 10, 10, 2, 9, 10, 2, 1, 5, 10, 10, 1, 1, 2, 6, 2, 1, 4, 1, 2, 1, 10, 10, 1, 2, 1, 6, 2, 2, 1, 10, 1, 2, 5, 1, 10, 1, 6, 6, 2, 2, 10, 6, 2, 2, 6, 6, 9, 2, 1, 10, 1, 1, 1, 1, 2, 1, 1, 2, 10, 9, 1, 2, 10, 2, 6, 2, 10, 10, 6, 2, 10, 2, 6, 6, 6, 6, 1, 6, 10, 6, 6, 6, 10, 1, 2, 1, 6, 10, 6, 10, 6, 10, 2, 1, 6, 6, 2, 1, 6, 2, 1, 10, 1, 1, 10, 1, 10, 1, 10, 6, 2, 6, 10, 1, 2, 6, 6, 2, 10, 6, 6, 1, 6, 10, 1, 10, 6, 6, 6, 1, 1, 1, 6, 10, 2, 1, 1, 1, 10, 1, 10, 1, 6, 10, 10, 10, 2, 2, 10, 10, 6, 1, 1, 6, 10, 2, 6, 1, 2, 1, 1, 6, 1, 6, 0, 1, 10, 1, 10, 2, 6, 1, 1, 10, 6, 10, 1, 6, 6, 1, 1, 6, 10, 10, 2, 2, 6, 6, 10, 10, 0, 2, 6, 1, 2, 1, 10, 6, 2, 6, 6, 10, 2, 1, 2, 10, 1, 2, 10, 10, 10, 10, 1, 10, 6, 2, 10, 2, 10, 6, 1, 2, 1, 10, 10, 6, 6, 1, 1, 1, 2, 1, 6, 1, 1, 1, 1, 1, 10, 10, 2, 2, 1, 10, 1, 10, 2, 10, 6, 6, 5, 10, 10, 10, 1, 10, 6, 1, 6, 6, 2, 1, 1, 2, 6, 6, 10, 2, 1, 10, 4, 9, 2, 2, 1, 2, 1, 1, 6, 2, 10, 2, 1, 6, 10, 10, 10, 6, 2, 1, 10, 1, 2, 1, 6, 1, 10, 1, 6, 2, 2, 1, 2, 10, 1, 10, 10, 2, 1, 10, 6, 1, 6, 2, 1, 2, 2, 6, 1, 2, 2, 6, 6, 6, 2, 10, 1, 6, 6, 10, 1, 2, 6, 2, 1, 10, 2, 2, 1, 10, 2, 1, 10, 0, 4, 6, 10, 1, 9, 2, 1, 6, 10, 6, 4, 6, 1, 1, 6, 10, 10, 10, 1, 10, 10, 10, 2, 2, 1, 1, 2, 6, 1, 10, 10, 2, 10, 1, 2, 6, 2, 6, 2, 2, 2, 10, 10, 6, 1, 6, 1, 6, 2, 10, 1, 6, 6, 6, 1, 10, 2, 10, 6, 2, 6, 2, 6, 6, 2, 10, 2, 2, 6, 2, 10, 6, 2, 4, 6, 6, 6, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 6, 1, 10, 1, 6, 2, 10, 1, 6, 2, 2, 10, 6, 6, 6, 10, 6, 1, 1, 10, 6, 2, 10, 2, 1, 6, 10, 2, 6, 10, 2, 1, 6, 6, 1, 9, 6, 6, 10, 1, 10, 10, 1, 6, 6, 1, 6, 1, 10, 1, 10, 2, 6, 9, 1, 10, 6, 10, 6, 6, 2, 10, 2, 1, 10, 6, 1, 10, 2, 10, 10, 1, 10, 1, 6, 6, 1, 1, 10, 1, 2, 2, 4, 1, 2, 2, 6, 2, 1, 2, 6, 6, 6, 6, 1, 6, 2, 10, 1, 6, 1, 2, 1, 1, 1, 10, 10, 1, 6, 1, 2, 1, 1, 2, 6, 2, 4, 2, 1, 2, 2, 10, 2, 6, 2, 2, 10, 6, 2, 10, 1, 10, 10, 2, 1, 2, 5, 2, 1, 6, 6, 2, 6, 2, 2, 10, 10, 6, 10, 6, 2, 6, 10, 1, 6, 2, 1, 6, 6, 2, 5, 6, 1, 1, 10, 6, 2, 10, 2, 2, 10, 1, 2, 1, 1, 2, 6, 1, 1, 2, 10, 6, 6, 1, 2, 10, 0, 4, 2, 1, 1, 1, 6, 1, 2, 6, 10, 2, 10, 1, 2, 1, 2, 2, 5, 10, 2, 6, 1, 2, 6, 1, 1, 1, 10, 10, 6, 6, 2, 2, 6, 60, 1, 10, 6, 2, 10, 2, 1, 2, 10, 2, 10, 1, 6, 1, 6, 2, 1, 6, 2, 1, 6, 1, 2, 10, 10, 6, 10, 2, 2, 1, 1, 1, 0, 6, 1, 1, 1, 6, 1, 1, 6, 2, 1, 6, 1, 6, 2, 2, 1, 2, 1, 2, 6, 1, 2, 1, 2, 1, 1, 10, 5, 6, 10, 10, 2, 1, 2, 6, 10, 6, 10, 2, 1, 0, 10, 1, 10, 2, 6, 6, 2, 6, 10, 6, 6, 10, 6, 1, 6, 10, 6, 6, 1, 2, 6, 10, 1, 1, 10, 6, 0, 1, 2, 2, 2, 2, 6, 10, 2, 2, 9, 1, 1, 1, 10, 6, 2, 6, 2, 2, 2, 1, 6, 1, 2, 6, 1, 2, 2, 10, 10, 10, 10, 10, 10, 10, 6, 1, 10, 1, 6, 2, 6, 10, 0, 1, 2, 2, 1, 10, 2, 6, 6, 1, 2, 10, 5, 10, 2, 10, 10, 2, 6, 6, 0, 1, 6, 60, 2, 1, 1, 10, 1, 10, 6, 6, 6, 6, 1, 10, 2, 1, 1, 6, 10, 10, 10, 2, 1, 10, 2, 2, 10, 6, 10, 10, 2, 2, 1, 1, 6, 10, 6, 6, 10, 6, 9, 1, 10, 1, 1, 2, 10, 2, 1, 6, 2, 6, 1, 6, 2, 2, 6, 10, 1, 10, 10, 10, 10, 1, 10, 10, 1, 1, 10, 2, 1, 6, 6, 10, 2, 1, 2, 10, 2, 6, 10, 6, 1, 6, 1, 2, 2, 2, 10, 1, 1, 2, 1, 1, 2, 2, 6, 2, 10, 10, 10, 10, 10, 2, 10, 10, 6, 6, 10, 2, 6, 2, 2, 10, 2, 2, 1, 6, 1, 2, 1, 10, 10, 2, 10, 6, 6, 10, 10, 10, 10, 2, 10, 2, 10, 10, 1, 6, 6, 1, 1, 9, 10, 1, 6, 6, 10, 6, 6, 10, 6, 10, 10, 6, 6, 6, 1, 10, 10, 10, 1, 1, 2, 2, 6, 10, 2, 10, 10, 1, 6, 6, 10, 1, 1, 2, 2, 2, 2, 1, 1, 6, 6, 6, 2, 1, 10, 1, 2, 10, 1, 2, 6, 2, 10, 1, 6, 6, 6, 1, 10, 1, 6, 10, 6, 10, 6, 10, 6, 2, 2, 10, 4, 6, 10, 2, 5, 1, 2, 6, 1, 10, 2, 6, 6, 6, 10, 2, 6, 1, 10, 8, 2, 2, 2, 1, 1, 10, 10, 10, 1, 6, 2, 0, 6, 10, 6, 10, 2, 2, 1, 6, 1, 1, 2, 10, 6, 1, 6, 6, 2, 10, 10, 6, 6, 2, 10, 10, 6, 2, 2, 6, 1, 10, 2, 2, 1, 1, 6, 10, 10, 1, 2, 6, 1, 10, 6, 10, 6, 2, 10, 2, 2, 6, 1, 10, 6, 10, 1, 2, 1, 1, 2, 2, 2, 2, 1, 10, 2, 6, 1, 2, 10, 2, 9, 10, 2, 1, 0, 6, 2, 2, 6, 6, 10, 6, 2, 10, 6, 6, 6, 10, 1, 6, 2, 2, 10, 2, 6, 6, 4, 10, 6, 1, 2, 10, 10, 10, 2, 6, 6, 6, 1, 2, 1, 1, 10, 1, 2, 10, 6, 6, 10, 10, 6, 6, 1, 10, 10, 6, 10, 6, 1, 6, 10, 2, 10, 10, 2, 10, 2, 10, 2, 6, 1, 2, 10, 6, 10, 1, 5, 6, 10, 2, 2, 1, 6, 10, 3, 10, 1, 10, 2, 6, 2, 6, 6, 10, 1, 2, 1, 6, 1, 6, 1, 6, 10, 10, 6, 1, 10, 6, 1, 1, 2, 6, 1, 1, 2, 1, 5, 1, 2, 2, 2, 6, 10, 2, 2, 1, 1, 6, 2, 10, 10, 1, 0, 6, 1, 2, 2, 6, 10, 2, 1, 6, 6, 2, 9, 10, 6, 10, 10, 1, 1, 1, 6, 2, 0, 1, 10, 2, 10, 2, 10, 2, 6, 10, 10, 6, 10, 10, 2, 2, 1, 10, 10, 10, 6, 2, 4, 1, 4, 2, 1, 10, 2, 6, 1, 6, 2, 1, 6, 1, 6, 2, 10, 6, 2, 9, 2, 6, 2, 1, 2, 10, 2, 1, 10, 10, 2, 10, 1, 6, 2, 6, 1, 10, 1, 6, 10, 10, 1, 2, 2, 6, 2, 2, 1, 9, 1, 1, 2, 1, 10, 2, 1, 1, 1, 6, 6, 10, 1, 2, 1, 10, 1, 6, 1, 10, 6, 1, 6, 10, 6, 10, 2, 1, 6, 2, 1, 2, 10, 2, 6, 6, 2, 6, 2, 6, 2, 6, 1, 6, 1, 6, 6, 6, 6, 2, 2, 9, 6, 5, 2, 6, 6, 6, 10, 6, 2, 6, 6, 1, 10, 1, 6, 1, 10, 6, 10, 1, 2, 2, 6, 1, 10, 2, 1, 6, 10, 6, 2, 10, 10, 10, 2, 2, 2, 6, 10, 6, 5, 1, 6, 2, 1, 10, 2, 2, 10, 2, 2, 2, 6, 6, 6, 2, 6, 2, 10, 1, 6, 10, 6, 6, 1, 2, 2, 6, 2, 2, 1, 10, 1, 6, 10, 6, 2, 1, 1, 10, 4, 2, 2, 6, 6, 2, 2, 2, 10, 1, 1, 6, 2, 0, 10, 2, 10, 6, 10, 6, 5, 2, 1, 10, 10, 2, 10, 2, 1, 2, 6, 6, 2, 2, 1, 10, 10, 10, 1, 10, 6, 1, 6, 6, 1, 1, 1, 2, 1, 6, 2, 2, 2, 10, 6, 10, 2, 1, 6, 6, 1, 10, 10, 10, 2, 10, 10, 10, 6, 10, 6, 10, 1, 6, 10, 2, 10, 1, 1, 2, 10, 2, 1, 10, 1, 2, 10, 2, 6, 4, 10, 1, 2, 1, 1, 1, 1, 10, 2, 10, 1, 6, 10, 2, 6, 10, 10, 10, 1, 1, 2, 2, 10, 1, 1, 2, 10, 1, 2, 1, 2, 1, 1, 1, 5, 1, 10, 2, 10, 6, 2, 1, 1, 10, 1, 10, 2, 9, 1, 10, 1, 6, 6, 1, 6, 1, 6, 10, 6, 6, 6, 10, 6, 10, 1, 6, 1, 1, 1, 1, 2, 2, 1, 2, 2, 6, 8, 2, 2, 1, 10, 10, 1, 10, 10, 1, 2, 10, 2, 6, 1, 10, 2, 1, 6, 10, 1, 6, 6, 10, 6, 10, 10, 1, 6, 6, 2, 2, 6, 10, 6, 2, 1, 6, 1, 2, 6, 10, 2, 0, 6, 6, 1, 1, 1, 0, 6, 10, 1, 1, 2, 2, 10, 2, 10, 1, 2, 1, 9, 1, 2, 2, 1, 6, 1, 10, 2, 10, 6, 10, 2, 1, 0, 6, 1, 10, 10, 2, 10, 1, 2, 2, 2, 10, 2, 5, 1, 6, 2, 6, 6, 2, 2, 2, 1, 2, 1, 2, 10, 2, 2, 1, 2, 2, 6, 1, 1, 1, 10, 2, 6, 1, 2, 2, 6, 1, 1, 6, 1, 10, 4, 1, 1, 1, 2, 10, 2, 10, 10, 9, 2, 10, 6, 2, 6, 1, 10, 6, 10, 6, 10, 2, 2, 6, 1, 2, 2, 1, 6, 10, 1, 2, 2, 1, 10, 1, 2, 6, 6, 6, 6, 2, 6, 6, 1, 2, 2, 10, 10, 6, 10, 10, 2, 6, 1, 10, 2, 6, 6, 1, 1, 10, 1, 6, 10, 10, 2, 9, 2, 10, 10, 10, 10, 6, 1, 10, 6, 10, 1, 6, 10, 2, 10, 6, 6, 1, 10, 1, 10, 1, 0, 1, 1, 10, 2, 2, 6, 6, 10, 6, 1, 6, 2, 10, 1, 1, 2, 6, 2, 2, 1, 10, 10, 1, 2, 1, 2, 2, 1, 10, 6, 1, 10, 6, 4, 6, 10, 6, 1, 0, 2, 1, 9, 2, 1, 1, 10, 6, 1, 6, 2, 6, 1, 6, 1, 6, 1, 6, 1, 10, 1, 6, 10, 6, 9, 1, 1, 6, 6, 6, 10, 2, 2, 1, 6, 1, 1, 6, 10, 6, 2, 1, 10, 6, 1, 1, 1, 2, 6, 5, 6, 6, 2, 10, 10, 10, 0, 6, 1, 6, 1, 2, 2, 2, 2, 1, 10, 2, 2, 10, 6, 2, 1, 1, 10, 4, 0, 6, 6, 9, 6, 6, 1, 10, 6, 10, 1, 2, 1, 1, 1, 1, 10, 2, 1, 10, 2, 6, 10, 6, 6, 10, 6, 1, 10, 1, 2, 6, 1, 1, 10, 1, 10, 2, 6, 10, 2, 2, 6, 10, 2, 6, 10, 6, 10, 0, 1, 2, 6, 1, 1, 6, 6, 10, 6, 6, 10, 6, 1, 10, 6, 10, 2, 1, 2, 10, 6, 2, 2, 2, 10, 6, 1, 6, 10, 2, 6, 2, 0, 10, 6, 2, 6, 2, 10, 6, 1, 1, 2, 10, 6, 2, 1, 2, 1, 10, 6, 1, 6, 1, 1, 1, 9, 6, 10, 6, 6, 1, 6, 1, 2, 6, 10, 6, 6, 2, 6, 2, 2, 1, 10, 1, 1, 10, 2, 1, 2, 10, 2, 10, 6, 1, 6, 10, 1, 1, 10, 10, 1, 6, 1, 2, 2, 6, 1, 2, 6, 6, 10, 2, 2, 2, 1, 1, 6, 1, 2, 6, 1, 2, 1, 10, 10, 10, 6, 1, 10, 6, 10, 2, 6, 2, 2, 2, 1, 2, 2, 10, 1, 1, 10, 1, 1, 6, 6, 2, 10, 6, 0, 6, 2, 2, 2, 6, 6, 6, 10, 6, 6, 2, 2, 2, 40, 2, 6, 6, 10, 1, 2, 10, 10, 1, 2, 1, 10, 6, 6, 10, 10, 2, 10, 6, 10, 1, 2, 6, 2, 10, 1, 1, 10, 10, 10, 6, 1, 2, 2, 1, 10, 2, 9, 10, 2, 10, 10, 10, 6, 10, 2, 2, 2, 2, 1, 2, 10, 1, 2, 2, 10, 1, 10, 1, 6, 2, 1, 10, 10, 10, 6, 6, 6, 2, 6, 6, 1, 1, 2, 6, 10, 9, 1, 2, 2, 9, 10, 2, 2, 2, 3, 5, 10, 10, 10, 1, 10, 6, 10, 1, 2, 2, 6, 1, 1, 1, 6, 1, 1, 6, 2, 10, 1, 6, 6, 10, 2, 10, 2, 1, 10, 2, 2, 10, 2, 10, 6, 2, 2, 2, 10, 6, 1, 10, 2, 10, 1, 6, 10, 1, 1, 2, 2, 6, 10, 0, 2, 1, 2, 2, 6, 1, 2, 2, 2, 10, 1, 1, 6, 10, 6, 2, 1, 2, 10, 10, 1, 9, 6, 1, 2, 6, 2, 10, 10, 2, 10, 1, 6, 10, 1, 6, 9, 2, 2, 2, 6, 6, 2, 6, 1, 10, 6, 2, 1, 6, 1, 2, 6, 2, 10, 1, 2, 1, 6, 1, 2, 10, 1, 2, 10, 1, 10, 2, 2, 2, 6, 2, 1, 2, 10, 5, 6, 2, 6, 2, 6, 2, 6, 1, 2, 10, 6, 2, 10, 2, 2, 1, 6, 6, 1, 1, 1, 6, 0, 2, 1, 6, 1, 10, 1, 10, 1, 2, 2, 2, 10, 2, 10, 2, 6, 1, 1, 2, 2, 10, 2, 1, 6, 10, 1, 6, 6, 1, 2, 6, 10, 6, 2, 2, 10, 5, 1, 2, 10, 6, 10, 5, 1, 10, 6, 2, 10, 10, 6, 10, 10, 1, 10, 6, 6, 2, 2, 2, 1, 1, 6, 10, 10, 2, 1, 10, 1, 10, 2, 10, 10, 10, 2, 2, 2, 1, 1, 10, 1, 10, 1, 6, 2, 6, 10, 2, 2, 2, 10, 1, 2, 10, 1, 10, 10, 2, 1, 2, 10, 2, 1, 1, 10, 6, 2, 2, 10, 2, 6, 6, 6, 2, 10, 10, 6, 10, 10, 10, 10, 9, 10, 6, 1, 10, 6, 10, 1, 2, 2, 6, 2, 0, 10, 1, 2, 6, 10, 2, 2, 5, 10, 2, 1, 1, 1, 6, 10, 9, 6, 2, 1, 10, 2, 1, 1, 2, 10, 1, 1, 10, 1, 2, 1, 10, 1, 10, 2, 5, 6, 10, 1, 1, 2, 2, 10, 1, 2, 10, 6, 2, 2, 1, 2, 10, 2, 6, 10, 1, 2, 1, 6, 6, 1, 2, 10, 6, 1, 10, 2, 1, 6, 2, 6, 10, 6, 10, 6, 10, 1, 10, 10, 6, 6, 6, 1, 2, 10, 2, 10, 2, 2, 10, 1, 2, 2, 1, 10, 10, 2, 1, 2, 2, 2, 6, 6, 10, 10, 10, 6, 10, 6, 2, 2, 6, 1, 10, 6, 10, 1, 1, 6, 0, 10, 2, 6, 2, 6, 10, 1, 1, 6, 2, 1, 10, 2, 10, 6, 6, 10, 2, 6, 6, 1, 6, 6, 6, 2, 6, 10, 10, 6, 10, 2, 10, 10, 2, 10, 10, 10, 6, 1, 2, 6, 1, 1, 6, 2, 6, 10, 2, 2, 2, 10, 2, 2, 10, 1, 2, 2, 10, 6, 2, 10, 6, 2, 10, 6, 2, 2, 2, 2, 6, 1, 2, 1, 10, 10, 2, 8, 2, 10, 10, 10, 6, 9, 6, 11, 1, 1, 1, 2, 10, 10, 2, 6, 2, 2, 2, 10, 2, 1, 2, 1, 2, 2, 6, 2, 9, 2, 6, 6, 2, 1, 1, 1, 6, 6, 2, 2, 10, 2, 1, 2, 6, 2, 1, 1, 2, 6, 10, 6, 1, 10, 1, 10, 6, 1, 10, 6, 6, 10, 2, 10, 6, 6, 2, 1, 6, 6, 6, 2, 6, 6, 2, 1, 6, 1, 6, 2, 1, 2, 1, 1, 10, 1, 10, 6, 10, 2, 2, 1, 4, 10, 2, 5, 10, 1, 6, 10, 1, 10, 10, 1, 6, 10, 2, 2, 2, 2, 2, 6, 2, 10, 6, 2, 10, 2, 1, 0, 10, 1, 1, 1, 4, 2, 1, 10, 2, 6, 6, 2, 1, 6, 2, 1, 1, 10, 10, 10, 6, 10, 6, 6, 2, 2, 10, 1, 6, 10, 10, 10, 2, 6, 2, 2, 1, 10, 2, 1, 10, 1, 2, 10, 1, 10, 1, 10, 6, 6, 2, 10, 2, 1, 10, 6, 10, 10, 2, 6, 2, 5, 10, 1, 2, 10, 1, 10, 1, 2, 1, 1, 10, 10, 6, 1, 2, 10, 2, 2, 2, 6, 1, 4, 6, 10, 6, 10, 2, 6, 2, 1, 2, 10, 6, 6, 1, 6, 1, 10, 6, 10, 6, 1, 2, 2, 6, 2, 1, 6, 1, 2, 6, 2, 2, 10, 2, 10, 6, 1, 10, 2, 10, 1, 1, 6, 10, 2, 1, 1, 1, 2, 1, 1, 1, 10, 2, 2, 10, 1, 6, 2, 1, 6, 10, 10, 6, 2, 2, 2, 6, 6, 1, 6, 2, 2, 2, 6, 1, 10, 2, 2, 2, 10, 2, 1, 6, 6, 2, 6, 2, 1, 1, 2, 2, 10, 6, 10, 2, 6, 6, 2, 10, 10, 1, 2, 2, 1, 10, 1, 1, 6, 1, 1, 6, 10, 10, 10, 10, 6, 10, 1, 10, 2, 10, 2, 1, 1, 1, 10, 6, 9, 1, 10, 10, 2, 6, 2, 6, 2, 6, 2, 1, 6, 2, 10, 10, 1, 2, 2, 10, 10, 6, 10, 1, 1, 6, 2, 6, 1, 6, 1, 2, 1, 6, 2, 10, 6, 1, 6, 10, 10, 6, 10, 6, 6, 1, 1, 2, 10, 1, 10, 6, 6, 2, 2, 2, 10, 6, 1, 9, 2, 5, 6, 1, 2, 2, 6, 1, 6, 1, 6, 2, 1, 6, 6, 1, 2, 2, 1, 10, 6, 6, 1, 6, 6, 6, 1, 1, 6, 6, 1, 1, 1, 6, 2, 2, 6, 10, 2, 2, 1, 2, 1, 10, 6, 1, 2, 1, 10, 10, 1, 6, 2, 1, 1, 1, 2, 6, 1, 6, 10, 2, 10, 10, 6, 1, 10, 6, 2, 10, 6, 2, 6, 10, 6, 1, 10, 1, 2, 1, 2, 2, 1, 6, 2, 1, 6, 1, 10, 6, 6, 10, 10, 10, 1, 1, 1, 6, 0, 6, 10, 10, 6, 1, 2, 2, 6, 1, 1, 2, 6, 6, 10, 2, 1, 1, 6, 2, 1, 6, 0, 1, 6, 6, 10, 1, 6, 6, 2, 2, 1, 2, 6, 2, 6, 6, 2, 6, 6, 1, 2, 2, 1, 10, 6, 2, 2, 1, 2, 1, 2, 1, 6, 1, 1, 1, 10, 0, 0, 6, 10, 6, 6, 2, 6, 1, 1, 6, 1, 6, 2, 2, 1, 6, 10, 10, 1, 1, 6, 6, 2, 4, 6, 2, 1, 1, 2, 1, 6, 6, 0, 10, 1, 6, 1, 2, 2, 10, 2, 2, 5, 10, 2, 10, 6, 10, 10, 2, 2, 2, 1, 10, 6, 6, 6, 10, 6, 2, 10, 10, 6, 9, 1, 2, 1, 10, 2, 10, 2, 2, 1, 10, 1, 1, 6, 6, 6, 60, 2, 2, 10, 6, 1, 10, 1, 1, 2, 10, 1, 6, 2, 10, 10, 10, 6, 2, 10, 1, 2, 4, 6, 1, 6, 2, 6, 6, 10, 1, 2, 6, 2, 2, 6, 2, 10, 4, 10, 10, 1, 5, 0, 10, 1, 2, 10, 10, 2, 6, 10, 10, 10, 1, 2, 1, 1, 6, 2, 6, 1, 6, 0, 6, 2, 1, 1, 1, 2, 1, 2, 1, 2, 10, 1, 10, 10, 2, 2, 50, 1, 1, 2, 10, 2, 6, 10, 10, 10, 1, 2, 1, 1, 1, 2, 2, 10, 1, 1, 1, 2, 1, 10, 1, 6, 2, 6, 2, 1, 10, 6, 1, 2, 6, 2, 2, 1, 2, 1, 2, 10, 1, 2, 1, 1, 6, 10, 1, 10, 1, 10, 1, 10, 2, 2, 2, 2, 2, 2, 1, 6, 6, 6, 2, 10, 2, 6, 6, 1, 5, 1, 6, 2, 1, 10, 2, 4, 10, 6, 6, 2, 10, 1, 2, 10, 6, 2, 10, 2, 10, 6, 1, 6, 6, 0, 6, 10, 6, 6, 2, 10, 10, 2, 6, 6, 2, 10, 1, 10, 2, 9, 1, 1, 6, 1, 6, 2, 1, 10, 1, 10, 10, 10, 1, 10, 6, 10, 2, 1, 1, 10, 1, 1, 6, 2, 2, 1, 1, 6, 1, 1, 6, 6, 6, 6, 2, 6, 10, 2, 2, 1, 1, 6, 2, 6, 2, 1, 6, 10, 6, 2, 10, 2, 10, 10, 10, 2, 1, 6, 2, 10, 10, 2, 10, 10, 6, 1, 0, 10, 1, 6, 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9, 6, 10, 2, 10, 1, 2, 1, 6, 10, 2, 2, 6, 1, 1, 2, 10, 2, 10, 6, 10, 2, 10, 1, 1, 2, 10, 2, 6, 10, 10, 10, 6, 10, 1, 2, 2, 5, 2, 6, 6, 6, 2, 6, 10, 2, 10, 10, 6, 2, 10, 10, 1, 10, 1, 1, 6, 2, 1, 1, 1, 6, 6, 1, 10, 1, 2, 10, 2, 6, 6, 2, 2, 5, 6, 1, 10, 6, 6, 6, 2, 6, 2, 10, 10, 1, 2, 10, 6, 10, 2, 2, 10, 1, 2, 10, 1, 6, 1, 10, 2, 2, 6, 6, 2, 1, 4, 10, 10, 10, 2, 1, 1, 6, 10, 10, 1, 2, 9, 2, 6, 6, 4, 10, 6, 10, 1, 6, 10, 6, 1, 10, 2, 6, 6, 2, 6, 1, 10, 1, 2, 6, 1, 1, 10, 6, 6, 10, 2, 6, 6, 2, 2, 6, 1, 1, 1, 1, 10, 6, 2, 6, 6, 1, 10, 1, 6, 1, 10, 6, 2, 6, 1, 2, 1, 6, 6, 6, 10, 10, 10, 1, 10, 1, 1, 2, 6, 5, 10, 2, 2, 6, 0, 1, 6, 10, 2, 10, 1, 6, 2, 2, 6, 1, 1, 1, 10, 6, 10, 10, 6, 2, 6, 6, 1, 1, 0, 6, 10, 5, 6, 6, 10, 6, 2, 6, 2, 1, 5, 1, 10, 2, 10, 2, 9, 10, 2, 5, 6, 1, 1, 1, 10, 10, 1, 6, 1, 1, 40, 1, 1, 6, 6, 6, 6, 2, 1, 10, 10, 1, 10, 1, 2, 2, 2, 2, 2, 2, 2, 10, 1, 10, 6, 2, 1, 1, 2, 1, 1, 2, 10, 10, 10, 2, 6, 6, 7, 1, 1, 9, 6, 2, 1, 6, 1, 10, 6, 10, 1, 10, 6, 2, 10, 2, 10, 1, 2, 6, 1, 10, 2, 2, 2, 1, 1, 6, 10, 6, 6, 6, 10, 6, 2, 6, 2, 6, 1, 6, 10, 10, 6, 1, 6, 10, 1, 10, 1, 1, 2, 10, 10, 1, 6, 1, 6, 1, 10, 0, 1, 6, 1, 2, 1, 1, 10, 1, 6, 2, 1, 1, 2, 6, 10, 6, 10, 10, 2, 10, 10, 6, 10, 2, 1, 10, 10, 6, 2, 1, 10, 1, 6, 6, 10, 1, 2, 1, 6, 6, 1, 6, 10, 10, 1, 10, 2, 6, 2, 4, 2, 10, 6, 6, 2, 10, 1, 6, 2, 6, 6, 10, 10, 6, 2, 6, 1, 5, 4, 5, 6, 6, 10, 6, 10, 1, 1, 1, 10, 6, 6, 2, 6, 1, 6, 0, 2, 10, 1, 2, 2, 1, 10, 1, 2, 0, 10, 5, 0, 2, 10, 2, 10, 1, 6, 1, 6, 10, 5, 10, 1, 1, 10, 6, 1, 6, 2, 10, 10, 10, 1, 6, 6, 10, 6, 1, 1, 2, 1, 2, 6, 2, 2, 1, 6, 6, 1, 1, 6, 1, 6, 6, 1, 2, 2, 6, 10, 2, 2, 6, 1, 1, 10, 6, 6, 2, 1, 6, 1, 2, 10, 6, 10, 2, 2, 1, 6, 6, 6, 2, 10, 2, 1, 10, 2, 6, 6, 1, 6, 2, 2, 2, 10, 2, 1, 6, 6, 6, 10, 2, 2, 2, 2, 6, 10, 6, 2, 6, 10, 2, 6, 2, 10, 6, 1, 2, 2, 6, 6, 1, 10, 1, 6, 2, 10, 10, 2, 6, 2, 6, 1, 2, 2, 10, 2, 2, 6, 1, 1, 10, 10, 10, 10, 1, 2, 10, 1, 1, 6, 6, 2, 2, 2, 6, 2, 1, 2, 2, 2, 1, 6, 2, 10, 6, 10, 2, 9, 6, 1, 2, 1, 6, 1, 2, 6, 1, 2, 10, 1, 1, 2, 1, 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2, 2, 6, 1, 10, 10, 2, 6, 1, 6, 5, 10, 2, 10, 1, 6, 0, 10, 2, 2, 2, 5, 1, 2, 1, 1, 1, 1, 2, 1, 6, 6, 2, 1, 6, 6, 6, 1, 2, 10, 6, 2, 10, 1, 10, 1, 6, 6, 1, 1, 6, 1, 6, 2, 2, 1, 6, 2, 10, 10, 2, 6, 6, 1, 2, 1, 6, 2, 6, 10, 10, 6, 6, 6, 10, 10, 6, 1, 1, 6, 1, 6, 2, 2, 1, 1, 10, 10, 6, 2, 10, 10, 10, 1, 9, 1, 2, 6, 2, 10, 2, 9, 6, 2, 10, 0, 6, 2, 2, 10, 2, 2, 2, 2, 10, 10, 6, 6, 1, 1, 10, 6, 1, 1, 10, 10, 1, 1, 10, 10, 6, 10, 6, 6, 10, 6, 2, 10, 1, 2, 2, 2, 10, 0, 2, 2, 10, 10, 10, 2, 6, 1, 6, 6, 10, 10, 2, 6, 10, 6, 10, 10, 1, 1, 6, 10, 6, 10, 6, 2, 10, 1, 5, 2, 6, 10, 2, 6, 2, 10, 6, 2, 6, 10, 2, 1, 2, 1, 2, 10, 10, 2, 2, 1, 6, 6, 6, 10, 10, 2, 6, 2, 6, 6, 2, 6, 1, 1, 10, 2, 10, 10, 10, 10, 2, 6, 6, 2, 0, 6, 1, 6, 10, 1, 2, 6, 6, 2, 0, 2, 5, 6, 10, 6, 6, 1, 5, 10, 1, 0, 4, 1, 2, 10, 1, 6, 9, 1, 1, 10, 6, 10, 6, 10, 1, 2, 10, 1, 2, 2, 6, 1, 6, 2, 2, 10, 2, 10, 1, 6, 1, 2, 6, 1, 10, 1, 10, 2, 2, 6, 1, 1, 2, 5, 6, 10, 4, 10, 1, 9, 1, 6, 1, 1, 0, 2, 6, 10, 1, 1, 2, 6, 2, 1, 6, 10, 10, 6, 1, 10, 1, 1, 6, 1, 6, 6, 1, 2, 10, 2, 5, 6, 10, 9, 2, 1, 10, 1, 10, 10, 10, 6, 10, 2, 10, 10, 2, 6, 6, 6, 1, 6, 6, 4, 10, 2, 10, 10, 1, 2, 6, 10, 1, 10, 1, 10, 2, 6, 2, 0, 6, 6, 1, 6, 10, 6, 10, 1, 6, 1, 2, 6, 6, 10, 10, 10, 1, 10, 1, 6, 10, 1, 10, 6, 10, 6, 1, 10, 2, 2, 6, 1, 2, 10, 10, 0, 2, 2, 1, 2, 10, 1, 1, 1, 2, 1, 10, 1, 2, 10, 10, 6, 2, 6, 0, 10, 10, 10, 6, 6, 1, 10, 10, 1, 6, 1, 6, 10, 6, 10, 6, 6, 1, 6, 6, 2, 6, 10, 10, 6, 2, 10, 1, 5, 2, 10, 1, 1, 6, 4, 6, 6, 6, 9, 10, 6, 10, 2, 4, 2, 1, 2, 2, 2, 6, 1, 10, 10, 2, 10, 1, 0, 6, 10, 6, 6, 2, 10, 1, 10, 1, 6, 6, 10, 10, 10, 2, 6, 2, 1, 2, 1, 6, 10, 10, 6, 1, 10, 1, 2, 6, 10, 2, 6, 1, 1, 10, 1, 6, 10, 10, 2, 10, 1, 1, 1, 1, 10, 2, 1, 10, 1, 2, 2, 10, 2, 10, 2, 10, 10, 10, 2, 1, 1, 10, 1, 1, 10, 6, 1, 2, 2, 10, 2, 6, 6, 4, 10, 2, 1, 10, 6, 6, 6, 2, 1, 10, 10, 2, 1, 6, 2, 10, 1, 6, 10, 10, 0, 1, 10, 6, 5, 2, 1, 1, 10, 10, 1, 6, 1, 10, 10, 10, 6, 2, 10, 1, 10, 6, 1, 6, 2, 6, 6, 1, 1, 6, 6, 9, 2, 2, 6, 6, 1, 1, 1, 10, 1, 1, 6, 6, 10, 10, 1, 10, 10, 6, 4, 2, 1, 1, 6, 1, 6, 5, 10, 10, 6, 10, 2, 6, 10, 10, 1, 10, 1, 1, 2, 6, 1, 1, 6, 10, 2, 10, 10, 2, 1, 10, 1, 10, 2, 6, 10, 1, 1, 6, 2, 6, 0, 6, 6, 2, 1, 6, 1, 5, 2, 1, 2, 10, 10, 1, 2, 2, 10, 1, 6, 1, 6, 1, 1, 6, 2, 10, 1, 2, 1, 2, 1, 10, 6, 2, 1, 10, 1, 5, 6, 1, 1, 6, 10, 10, 1, 1, 6, 10, 1, 6, 2, 6, 6, 1, 1, 6, 6, 10, 6, 2, 10, 1, 6, 1, 6, 1, 1, 1, 2, 2, 10, 2, 10, 1, 2, 2, 6, 1, 6, 1, 6, 10, 0, 10, 10, 10, 1, 1, 1, 6, 1, 1, 10, 2, 6, 10, 6, 2, 10, 1, 6, 10, 1, 6, 2, 6, 10, 2, 2, 2, 6, 2, 10, 10, 10, 10, 2, 1, 2, 2, 2, 4, 2, 2, 10, 1, 6, 2, 2, 6, 4, 10, 10, 2, 6, 10, 1, 6, 1, 6, 1, 1, 2, 6, 1, 10, 1, 2, 2, 2, 2, 10, 2, 2, 6, 6, 6, 6, 10, 2, 1, 6, 6, 6, 1, 2, 1, 1, 2, 0, 6, 6, 2, 10, 6, 1, 6, 1, 10, 1, 2, 1, 6, 6, 10, 2, 10, 10, 10, 1, 6, 10, 1, 10, 6, 2, 6, 2, 10, 10, 2, 6, 1, 1, 2, 1, 6, 1, 10, 10, 1, 2, 10, 6, 10, 9, 1, 1, 2, 1, 1, 2, 6, 2, 6, 6, 6, 10, 2, 2, 2, 1, 10, 6, 10, 1, 2, 6, 6, 1, 10, 6, 2, 6, 2, 2, 10, 2, 10, 6, 2, 6, 2, 1, 10, 2, 2, 6, 2, 6, 1, 6, 2, 2, 6, 1, 1, 6, 2, 10, 2, 1, 10, 1, 1, 2, 1, 1, 1, 2, 2, 2, 6, 6, 2, 10, 1, 6, 6, 2, 10, 6, 6, 6, 1, 6, 6, 1, 6, 2, 10, 10, 1, 6, 6, 2, 2, 1, 6, 10, 6, 10, 1, 1, 6, 2, 2, 2, 6, 6, 2, 1, 2, 10, 6, 6, 2, 1, 2, 1, 10, 10, 10, 10, 2, 6, 1, 9, 2, 10, 10, 6, 2, 1, 10, 1, 10, 10, 1, 10, 10, 10, 1, 2, 10, 6, 6, 2, 10, 1, 10, 6, 2, 6, 2, 2, 10, 1, 1, 1, 1, 1, 10, 1, 10, 1, 9, 4, 2, 2, 10, 6, 6, 2, 10, 2, 1, 10, 1, 6, 2, 6, 1, 1, 2, 1, 2, 10, 1, 6, 6, 10, 10, 6, 10, 6, 6, 1, 2, 1, 2, 10, 1, 10, 2, 1, 10, 10, 2, 6, 2, 6, 2, 2, 2, 2, 0, 10, 1, 10, 6, 6, 6, 10, 1, 10, 6, 1, 1, 1, 10, 1, 1, 10, 6, 6, 1, 2, 6, 6, 10, 10, 1, 2, 6, 1, 2, 1, 6, 2, 2, 2, 2, 10, 10, 2, 2, 2, 10, 6, 10, 10, 1, 2, 6, 6, 1, 2, 2, 1, 10, 2, 6, 2, 1, 6, 1, 1, 10, 6, 2, 6, 2, 2, 10, 10, 1, 6, 6, 10, 6, 10, 6, 1, 1, 10, 10, 1, 6, 5, 6, 10, 6, 1, 1, 6, 10, 2, 2, 10, 1, 2, 1, 1, 1, 10, 10, 10, 1, 1, 10, 2, 6, 6, 1, 6, 10, 10, 6, 2, 6, 10, 2, 0, 1, 10, 6, 1, 1, 10, 2, 10, 2, 1, 1, 1, 2, 10, 6, 10, 1, 10, 10, 2, 1, 10, 6, 2, 10, 2, 6, 2, 6, 1, 2, 10, 6, 2, 6, 2, 6, 10, 10, 6, 10, 2, 1, 10, 2, 1, 1, 2, 1, 1, 6, 2, 2, 6, 10, 10, 2, 2, 2, 2, 10, 2, 10, 2, 6, 6, 1, 10, 2, 2, 1, 10, 2, 10, 2, 1, 1, 6, 1, 6, 1, 4, 2, 6, 10, 1, 10, 0, 6, 1, 10, 2, 2, 2, 10, 2, 2, 1, 2, 1, 1, 10, 6, 6, 2, 2, 1, 2, 6, 2, 10, 6, 10, 0, 6, 6, 6, 2, 10, 2, 0, 10, 2, 6, 10, 6, 6, 10, 0, 6, 10, 10, 10, 2, 10, 1, 6, 6, 1, 10, 6, 2, 1, 10, 6, 1, 10, 2, 1, 9, 2, 1, 1, 1, 6, 2, 1, 1, 2, 6, 1, 1, 50, 6, 10, 2, 10, 2, 10, 1, 10, 0, 6, 2, 10, 10, 1, 1, 1, 10, 2, 1, 1, 6, 1, 6, 6, 2, 9, 10, 1, 6, 10, 6, 1, 2, 10, 10, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 6, 2, 10, 10, 1, 6, 2, 2, 2, 1, 10, 10, 10, 2, 10, 1, 6, 2, 10, 6, 10, 1, 2, 10, 10, 2, 6, 2, 6, 2, 1, 10, 1, 1, 1, 10, 1, 1, 2, 1, 6, 6, 1, 5, 6, 6, 6, 10, 2, 10, 1, 10, 10, 10, 6, 1, 6, 6, 1, 10, 10, 2, 1, 2, 10, 10, 2, 10, 4, 10, 2, 6, 4, 10, 2, 10, 10, 6, 6, 10, 10, 1, 10, 2, 6, 10, 2, 6, 6, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 10, 6, 10, 1, 6, 10, 10, 1, 2, 10, 2, 10, 2, 4, 1, 2, 2, 6, 10, 10, 2, 0, 6, 6, 10, 2, 1, 2, 1, 10, 2, 10, 2, 6, 4, 2, 2, 6, 10, 2, 6, 1, 1, 2, 4, 10, 6, 2, 2, 6, 6, 10, 6, 10, 9, 1, 6, 6, 1, 10, 6, 0, 6, 6, 2, 6, 2, 6, 2, 1, 10, 2, 10, 10, 1, 6, 1, 1, 2, 0, 1, 10, 6, 1, 10, 1, 10, 2, 6, 10, 10, 0, 10, 10, 9, 10, 1, 2, 10, 10, 1, 10, 10, 10, 2, 1, 6, 1, 6, 2, 2, 1, 10, 2, 10, 2, 1, 2, 6, 6, 6, 2, 10, 1, 6, 6, 10, 2, 1, 6, 2, 1, 1, 10, 2, 2, 6, 10, 10, 10, 1, 2, 1, 1, 1, 1, 6, 2, 2, 4, 2, 6, 1, 4, 6, 6, 1, 6, 2, 10, 2, 2, 2, 6, 6, 6, 10, 6, 1, 1, 6, 10, 1, 10, 1, 2, 10, 1, 1, 1, 1, 2, 10, 10, 2, 6, 6, 10, 1, 6, 6, 6, 5, 10, 1, 6, 10, 2, 6, 1, 10, 1, 2, 2, 2, 10, 6, 1, 1, 2, 10, 10, 6, 10, 6, 1, 6, 6, 6, 2, 2, 1, 2, 6, 2, 1, 1, 6, 10, 1, 6, 1, 6, 2, 6, 4, 6, 2, 6, 6, 2, 2, 1, 10, 10, 1, 6, 6, 2, 10, 10, 10, 1, 2, 10, 10, 6, 2, 10, 5, 2, 6, 1, 6, 1, 10, 0, 10, 2, 2, 1, 2, 6, 1, 2, 10, 6, 5, 10, 1, 1, 6, 2, 1, 1, 2, 0, 2, 6, 6, 6, 10, 6, 5, 10, 1, 6, 6, 10, 6, 10, 2, 6, 6, 1, 6, 6, 2, 2, 10, 6, 6, 6, 6, 1, 10, 2, 6, 6, 6, 6, 6, 10, 2, 6, 10, 1, 1, 10, 1, 10, 1, 10, 10, 10, 1, 10, 6, 6, 10, 6, 2, 10, 10, 10, 2, 2, 10, 6, 1, 6, 6, 6, 2, 10, 6, 6, 6, 6, 10, 2, 1, 10, 1, 10, 2, 6, 1, 1, 10, 6, 2, 6, 10, 1, 2, 1, 6, 1, 6, 1, 6, 2, 6, 1, 5, 2, 10, 2, 6, 1, 5, 10, 1, 1, 1, 2, 6, 6, 1, 2, 1, 6, 1, 2, 1, 6, 1, 0, 10, 1, 5, 6, 2, 10, 10, 1, 1, 1, 10, 10, 2, 10, 2, 1, 10, 6, 1, 6, 0, 6, 10, 10, 2, 2, 6, 10, 1, 10, 6, 6, 1, 6, 10, 6, 10, 10, 2, 1, 1, 10, 10, 5, 10, 10, 1, 6, 1, 10, 10, 1, 1, 1, 2, 0, 6, 1, 6, 10, 1, 6, 6, 6, 6, 1, 6, 2, 1, 2, 2, 1, 6, 2, 6, 10, 6, 1, 6, 10, 6, 1, 6, 6, 1, 2, 2, 1, 1, 1, 10, 10, 6, 6, 6, 6, 6, 10, 1, 10, 2, 1, 1, 2, 4, 6, 1, 5, 2, 1, 1, 2, 1, 10, 6, 6, 10, 6, 1, 1, 2, 2, 2, 6, 10, 6, 6, 2, 6, 10, 6, 6, 0, 10, 2, 6, 6, 1, 10, 10, 10, 6, 1, 10, 10, 6, 1, 10, 6, 10, 6, 10, 2, 1, 6, 6, 10, 2, 10, 2, 2, 6, 6, 10, 10, 10, 2, 10, 6, 10, 6, 6, 2, 10, 2, 2, 2, 6, 10, 10, 6, 1, 6, 2, 1, 2, 6, 6, 2, 2, 10, 10, 10, 2, 1, 2, 6, 6, 6, 6, 2, 1, 10, 1, 10, 1, 2, 6, 10, 2, 1, 1, 2, 10, 5, 1, 2, 10, 2, 6, 2, 2, 30, 1, 10, 1, 6, 10, 2, 6, 1, 10, 6, 2, 1, 10, 6, 10, 6, 2, 2, 10, 2, 2, 2, 2, 10, 2, 10, 2, 6, 10, 2, 6, 10, 2, 10, 1, 2, 2, 6, 1, 2, 6, 6, 2, 6, 10, 1, 6, 6, 6, 2, 10, 1, 2, 6, 2, 2, 10, 10, 10, 2, 10, 10, 10, 2, 1, 6, 6, 2, 2, 10, 10, 10, 6, 1, 1, 1, 1, 2, 10, 6, 6, 10, 6, 10, 1, 2, 6, 2, 2, 1, 10, 1, 1, 2, 10, 6, 6, 6, 1, 6, 10, 1, 1, 6, 1, 6, 1, 2, 10, 10, 2, 1, 10, 6, 6, 1, 2, 1, 2, 2, 1, 6, 2, 1, 1, 6, 1, 9, 4, 10, 6, 2, 1, 2, 2, 6, 1, 10, 6, 6, 2, 6, 1, 6, 10, 6, 6, 6, 6, 10, 6, 10, 1, 1, 1, 1, 2, 10, 10, 1, 6, 0, 2, 10, 6, 6, 2, 1, 6, 2, 6, 60, 6, 6, 10, 6, 2, 10, 1, 6, 6, 10, 2, 6, 1, 2, 10, 10, 1, 2, 10, 1, 9, 10, 2, 6, 6, 6, 10, 5, 6, 1, 2, 6, 1, 1, 2, 2, 1, 2, 1, 6, 1, 2, 10, 2, 6, 2, 6, 6, 2, 2, 2, 1, 10, 4, 2, 1, 1, 6, 2, 10, 2, 10, 6, 6, 6, 6, 6, 2, 2, 2, 2, 10, 2, 10, 6, 1, 6, 1, 10, 6, 10, 10, 1, 10, 2, 10, 1, 10, 2, 10, 2, 6, 1, 10, 10, 1, 10, 6, 2, 5, 6, 2, 1, 10, 2, 6, 6, 10, 1, 1, 1, 1, 6, 1, 10, 1, 2, 10, 6, 10, 6, 6, 1, 10, 1, 1, 6, 5, 6, 6, 1, 6, 10, 10, 1, 9, 1, 2, 6, 10, 10, 2, 6, 10, 10, 1, 2, 6, 1, 6, 4, 2, 6, 6, 1, 6, 6, 6, 6, 6, 6, 2, 2, 6, 2, 2, 6, 1, 2, 6, 1, 5, 6, 10, 2, 2, 6, 2, 1, 1, 10, 10, 10, 10, 2, 2, 10, 10, 6, 1, 1, 10, 6, 1, 2, 6, 2, 6, 10, 1, 6, 10, 1, 6, 2, 2, 6, 1, 2, 6, 10, 2, 10, 1, 1, 1, 10, 2, 6, 1, 10, 2, 2, 6, 1, 6, 6, 6, 10, 2, 2, 2, 10, 1, 6, 2, 6, 6, 6, 10, 2, 1, 2, 2, 6, 6, 2, 6, 2, 10, 1, 1, 10, 1, 6, 10, 10, 2, 10, 10, 2, 10, 2, 10, 6, 6, 5, 6, 6, 6, 1, 6, 10, 6, 6, 6, 2, 1, 1, 6, 1, 1, 1, 6, 6, 6, 0, 2, 6, 1, 1, 2, 2, 1, 10, 6, 2, 1, 1, 10, 6, 6, 10, 6, 10, 10, 10, 6, 2, 10, 6, 10, 6, 6, 10, 1, 10, 6, 1, 1, 1, 2, 2, 2, 2, 2, 10, 6, 6, 6, 1, 2, 1, 6, 10, 6, 1, 1, 1, 1, 2, 6, 6, 6, 10, 1, 6, 6, 6, 6, 6, 10, 6, 6, 2, 4, 6, 10, 1, 2, 1, 1, 6, 1, 1, 2, 2, 1, 2, 1, 10, 6, 6, 6, 6, 2, 2, 6, 6, 6, 1, 10, 6, 1, 6, 10, 10, 10, 1, 10, 10, 1, 10, 10, 2, 2, 6, 1, 10, 10, 1, 6, 10, 6, 2, 2, 6, 6, 1, 10, 6, 2, 1, 6, 2, 1, 10, 6, 6, 10, 10, 2, 10, 6, 1, 6, 10, 1, 10, 10, 6, 1, 4, 6, 5, 10, 10, 10, 1, 2, 6, 10, 10, 10, 10, 2, 6, 10, 1, 2, 10, 2, 2, 6, 10, 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6, 1, 10, 6, 2, 10, 2, 6, 9, 6, 6, 2, 9, 1, 10, 10, 6, 1, 2, 10, 10, 2, 9, 10, 6, 6, 2, 6, 9, 6, 1, 10, 6, 1, 1, 6, 9, 10, 2, 2, 1, 1, 6, 1, 2, 6, 10, 1, 10, 6, 2, 2, 1, 1, 1, 2, 6, 1, 1, 6, 6, 6, 4, 1, 10, 6, 2, 6, 10, 2, 6, 2, 1, 1, 6, 6, 10, 2, 10, 10, 2, 1, 10, 1, 2, 10, 2, 1, 2, 2, 10, 10, 6, 2, 10, 10, 10, 10, 4, 10, 6, 1, 6, 1, 1, 10, 2, 10, 10, 6, 2, 10, 1, 10, 10, 6, 6, 2, 1, 6, 2, 6, 10, 6, 10, 2, 6, 10, 2, 9, 10, 2, 2, 6, 10, 1, 6, 1, 2, 1, 1, 6, 2, 1, 1, 10, 10, 6, 10, 10, 1, 1, 1, 6, 1, 4, 10, 1, 10, 2, 10, 6, 6, 6, 9, 10, 1, 1, 10, 1, 10, 10, 6, 1, 2, 1, 10, 1, 1, 1, 6, 2, 10, 6, 10, 9, 10, 2, 2, 1, 1, 10, 2, 1, 6, 10, 1, 2, 2, 10, 1, 2, 1, 6, 1, 2, 6, 2, 1, 10, 10, 6, 1, 1, 6, 10, 2, 2, 6, 10, 10, 9, 6, 10, 10, 6, 10, 6, 6, 1, 10, 1, 2, 2, 10, 0, 10, 10, 10, 2, 0, 9, 2, 10, 2, 2, 2, 6, 1, 10, 2, 0, 1, 2, 10, 1, 2, 2, 6, 6, 6, 10, 6, 2, 4, 2, 1, 2, 2, 10, 0, 1, 6, 1, 1, 5, 2, 10, 6, 6, 10, 10, 2, 2, 10, 10, 1, 2, 10, 2, 10, 10, 2, 6, 6, 1, 10, 6, 10, 6, 10, 1, 1, 1, 1, 10, 1, 6, 1, 2, 6, 1, 1, 10, 1, 6, 2, 10, 6, 6, 2, 6, 2, 6, 6, 1, 1, 10, 10, 2, 6, 2, 2, 1, 6, 1, 1, 2, 1, 2, 5, 1, 6, 6, 2, 2, 2, 1, 1, 10, 10, 1, 6, 2, 10, 10, 6, 1, 2, 10, 1, 6, 6, 2, 10, 10, 6, 1, 2, 1, 6, 2, 6, 10, 1, 1, 1, 6, 2, 10, 2, 2, 6, 1, 6, 10, 1, 1, 1, 1, 10, 6, 10, 1, 1, 10, 6, 2, 6, 10, 10, 10, 2, 1, 10, 10, 10, 10, 2, 0, 1, 6, 10, 2, 2, 6, 10, 1, 4, 6, 10, 10, 0, 10, 2, 6, 6, 2, 1, 10, 10, 10, 2, 2, 10, 10, 2, 10, 2, 10, 1, 6, 10, 6, 10, 2, 10, 6, 2, 10, 6, 1, 10, 1, 2, 10, 10, 2, 2, 6, 10, 2, 10, 6, 10, 1, 10, 10, 2, 2, 1, 6, 2, 2, 2, 2, 4, 10, 10, 6, 1, 2, 6, 2, 1, 1, 1, 10, 10, 10, 4, 10, 1, 10, 10, 2, 2, 6, 6, 6, 1, 2, 10, 2, 2, 2, 1, 10, 2, 6, 10, 6, 6, 10, 1, 2, 1, 6, 1, 10, 10, 1, 6, 10, 10, 6, 2, 2, 1, 10, 1, 10, 10, 2, 6, 10, 10, 6, 1, 10, 10, 1, 1, 2, 2, 10, 2, 6, 6, 1, 4, 2, 2, 10, 10, 5, 1, 2, 10, 1, 2, 6, 6, 1, 1, 6, 6, 2, 2, 6, 1, 6, 6, 6, 1, 6, 1, 6, 2, 10, 1, 1, 6, 1, 6, 6, 1, 10, 1, 2, 10, 2, 2, 2, 10, 10, 9, 6, 10, 2, 10, 6, 10, 1, 6, 10, 1, 2, 1, 10, 2, 6, 2, 10, 2, 10, 2, 2, 10, 2, 2, 9, 10, 1, 10, 6, 2, 10, 10, 6, 2, 1, 1, 1, 6, 1, 1, 10, 6, 2, 10, 2, 6, 1, 2, 6, 10, 6, 10, 6, 6, 1, 1, 10, 10, 6, 1, 9, 1, 1, 2, 4, 10, 6, 1, 2, 2, 10, 10, 1, 10, 6, 10, 6, 2, 2, 10, 2, 2, 2, 9, 2, 1, 2, 1, 10, 6, 1, 1, 10, 1, 1, 2, 4, 6, 2, 2, 6, 6, 2, 1, 2, 6, 2, 6, 10, 10, 2, 10, 6, 10, 10, 2, 10, 10, 2, 10, 2, 2, 1, 2, 6, 9, 2, 10, 2, 6, 6, 10, 2, 2, 1, 1, 4, 6, 2, 1, 6, 10, 1, 1, 1, 10, 2, 10, 10, 4, 2, 6, 6, 10, 10, 1, 10, 2, 2, 1, 6, 1, 6, 1, 6, 6, 1, 2, 6, 10, 10, 6, 6, 1, 1, 1, 10, 6, 6, 1, 2, 10, 10, 10, 1, 10, 6, 1, 2, 0, 6, 1, 2, 2, 6, 6, 1, 6, 1, 1, 6, 6, 0, 10, 10, 6, 9, 10, 6, 2, 10, 10, 2, 2, 1, 6, 6, 1, 6, 6, 1, 6, 1, 2, 6, 2, 1, 6, 6, 1, 10, 5, 1, 2, 2, 2, 1, 0, 2, 6, 2, 5, 6, 2, 1, 2, 1, 1, 2, 6, 6, 10, 6, 6, 6, 2, 10, 6, 1, 0, 2, 1, 10, 2, 10, 10, 6, 2, 6, 10, 4, 1, 6, 2, 10, 6, 1, 10, 2, 10, 2, 2, 10, 2, 10, 2, 6, 1, 1, 10, 1, 2, 2, 2, 1, 1, 10, 10, 6, 6, 10, 2, 6, 2, 10, 6, 1, 6, 10, 2, 1, 6, 6, 10, 2, 6, 6, 2, 1, 1, 1, 2, 1, 6, 10, 5, 2, 10, 6, 1, 2, 2, 2, 10, 2, 10, 1, 2, 6, 6, 1, 1, 2, 2, 1, 6, 1, 10, 10, 1, 10, 6, 10, 6, 2, 6, 1, 2, 10, 1, 6, 1, 10, 2, 2, 2, 2, 10, 2, 4, 2, 10, 10, 2, 2, 6, 6, 1, 10, 2, 6, 10, 1, 10, 6, 2, 10, 5, 9, 10, 1, 10, 2, 1, 6, 6, 1, 10, 2, 10, 2, 2, 2, 6, 10, 1, 1, 2, 2, 6, 10, 6, 10, 2, 6, 6, 1, 6, 2, 6, 6, 6, 6, 10, 1, 2, 6, 4, 10, 6, 10, 6, 0, 2, 10, 10, 4, 6, 6, 6, 10, 10, 6, 10, 1, 4, 10, 1, 6, 10, 6, 2, 10, 10, 6, 2, 2, 10, 40, 10, 6, 2, 1, 1, 6, 6, 6, 6, 10, 1, 10, 9, 1, 1, 2, 6, 10, 1, 6, 1, 6, 1, 1, 1, 1, 6, 2, 10, 2, 2, 2, 2, 2, 1, 6, 6, 6, 10, 6, 1, 6, 0, 6, 4, 6, 10, 5, 2, 10, 10, 2, 1, 1, 6, 6, 6, 1, 6, 10, 10, 6, 10, 2, 10, 1, 10, 1, 2, 6, 1, 10, 1, 6, 6, 1, 6, 6, 2, 2, 1, 1, 0, 6, 6, 2, 6, 1, 10, 6, 4, 6, 6, 6, 6, 1, 1, 2, 1, 2, 6, 6, 6, 10, 6, 1, 1, 1, 6, 1, 2, 6, 2, 1, 1, 1, 4, 10, 1, 2, 2, 6, 2, 1, 2, 2, 6, 10, 2, 6, 6, 2, 10, 2, 1, 2, 10, 10, 10, 6, 2, 10, 10, 1, 2, 2, 10, 1, 6, 10, 10, 2, 2, 2, 1, 6, 10, 10, 1, 10, 6, 6, 6, 2, 2, 6, 1, 6, 6, 5, 10, 6, 2, 10, 6, 10, 2, 10, 10, 1, 10, 1, 10, 10, 6, 6, 6, 10, 10, 6, 6, 2, 2, 6, 6, 1, 1, 2, 1, 2, 10, 10, 6, 2, 2, 2, 1, 1, 10, 6, 6, 10, 1, 6, 1, 6, 4, 9, 6, 2, 6, 10, 10, 10, 2, 1, 6, 6, 4, 10, 10, 2, 10, 2, 1, 10, 6, 2, 10, 10, 2, 10, 10, 1, 2, 10, 10, 6, 6, 10, 2, 6, 1, 6, 2, 2, 2, 10, 10, 2, 1, 2, 10, 2, 2, 1, 6, 1, 10, 6, 6, 6, 10, 4, 1, 1, 9, 6, 10, 1, 1, 2, 1, 6, 10, 10, 2, 1, 1, 1, 10, 2, 10, 2, 2, 1, 10, 10, 10, 10, 6, 2, 2, 0, 1, 1, 1, 1, 2, 1, 10, 1, 10, 6, 6, 2, 10, 1, 6, 10, 6, 6, 6, 2, 10, 1, 6, 6, 10, 10, 2, 2, 6, 10, 1, 6, 6, 6, 10, 10, 2, 6, 2, 6, 6, 6, 6, 2, 6, 10, 1, 5, 1, 10, 10, 2, 6, 1, 2, 10, 6, 2, 10, 2, 4, 1, 2, 2, 2, 1, 10, 10, 6, 6, 1, 6, 1, 1, 1, 0, 2, 10, 2, 10, 2, 1, 6, 10, 2, 2, 2, 10, 1, 2, 2, 1, 1, 10, 10, 2, 10, 2, 4, 6, 2, 1, 2, 4, 10, 1, 2, 10, 10, 1, 1, 6, 2, 1, 1, 2, 10, 2, 6, 1, 1, 2, 10, 10, 1, 10, 6, 10, 1, 10, 1, 6, 2, 5, 6, 1, 6, 6, 10, 2, 1, 6, 6, 2, 1, 10, 10, 2, 2, 2, 2, 6, 10, 6, 2, 2, 10, 6, 1, 1, 2, 6, 1, 2, 1, 1, 1, 1, 1, 10, 1, 10, 10, 1, 10, 2, 2, 6, 6, 1, 2, 2, 6, 2, 6, 6, 5, 2, 1, 1, 2, 2, 10, 2, 10, 6, 4, 1, 10, 2, 6, 2, 6, 10, 10, 1, 1, 6, 6, 2, 1, 10, 10, 10, 1, 10, 10, 6, 1, 1, 6, 10, 1, 2, 1, 10, 6, 1, 10, 9, 10, 10, 10, 1, 2, 2, 10, 10, 6, 6, 10, 6, 1, 10, 1, 6, 10, 2, 1, 6, 1, 1, 1, 6, 6, 1, 6, 10, 6, 0, 10, 6, 10, 6, 6, 1, 2, 6, 2, 1, 1, 2, 6, 2, 1, 6, 10, 10, 10, 10, 1, 6, 2, 6, 1, 2, 1, 1, 6, 2, 10, 8, 2, 1, 2, 10, 10, 1, 2, 2, 6, 1, 10, 1, 6, 8, 80, 10, 2, 1, 1, 2, 10, 2, 2, 1, 10, 6, 60, 1, 1, 2, 2, 2, 6, 2, 1, 6, 6, 2, 6, 2, 2, 2, 10, 10, 2, 10, 1, 1, 4, 1, 1, 2, 6, 10, 10, 2, 6, 6, 6, 2, 10, 10, 1, 10, 6, 2, 10, 2, 2, 1, 6, 2, 10, 2, 10, 6, 1, 10, 2, 2, 2, 10, 2, 1, 6, 10, 2, 6, 6, 6, 1, 2, 1, 2, 6, 2, 6, 6, 6, 2, 1, 0, 6, 1, 2, 10, 2, 10, 1, 1, 1, 6, 2, 10, 1, 1, 10, 1, 6, 1, 6, 10, 10, 2, 2, 10, 6, 6, 2, 6, 2, 2, 2, 6, 0, 2, 10, 1, 6, 10, 2, 1, 2, 6, 10, 10, 6, 2, 10, 1, 2, 2, 2, 2, 10, 10, 10, 10, 1, 6, 2, 4, 2, 1, 6, 1, 2, 10, 1, 10, 1, 2, 10, 10, 10, 2, 6, 1, 1, 1, 1, 10, 6, 10, 10, 1, 1, 6, 6, 2, 10, 10, 2, 10, 6, 6, 0, 2, 6, 2, 6, 6, 1, 2, 1, 10, 5, 6, 1, 2, 1, 6, 2, 1, 2, 6, 6, 10, 1, 2, 10, 2, 6, 2, 2, 10, 6, 1, 2, 1, 1, 2, 1, 10, 6, 0, 1, 2, 2, 10, 6, 1, 2, 1, 2, 1, 2, 10, 10, 6, 1, 2, 2, 1, 10, 10, 2, 2, 2, 2, 6, 6, 2, 10, 5, 6, 10, 1, 1, 2, 6, 1, 1, 2, 10, 10, 6, 10, 2, 6, 2, 2, 6, 10, 5, 6, 10, 2, 2, 10, 6, 2, 1, 2, 1, 6, 2, 6, 10, 6, 1, 2, 2, 2, 10, 2, 10, 6, 2, 1, 2, 10, 2, 2, 6, 6, 2, 2, 2, 10, 1, 2, 1, 1, 1, 6, 2, 2, 10, 6, 6, 6, 1, 1, 2, 6, 2, 10, 1, 6, 6, 10, 10, 2, 10, 10, 10, 6, 2, 10, 2, 6, 1, 1, 0, 6, 2, 6, 2, 1, 1, 10, 6, 1, 10, 10, 2, 10, 6, 2, 6, 4, 2, 10, 6, 2, 2, 10, 2, 6, 2, 10, 10, 6, 1, 2, 6, 10, 10, 2, 1, 2, 1, 2, 6, 4, 2, 6, 6, 2, 6, 1, 6, 6, 10, 10, 2, 2, 10, 2, 10, 6, 2, 2, 1, 6, 10, 2, 1, 1, 1, 10, 6, 5, 2, 2, 1, 6, 1, 2, 1, 1, 6, 10, 10, 1, 5, 6, 1, 1, 2, 1, 2, 10, 1, 2, 2, 10, 6, 6, 1, 6, 2, 6, 10, 1, 1, 6, 6, 2, 10, 2, 4, 10, 2, 6, 10, 1, 1, 2, 1, 6, 2, 10, 6, 6, 6, 1, 10, 2, 10, 2, 1, 1, 6, 6, 10, 1, 1, 2, 6, 2, 1, 50, 1, 2, 1, 2, 1, 6, 10, 6, 2, 6, 6, 6, 1, 1, 1, 6, 2, 6, 2, 1, 10, 6, 10, 10, 10, 1, 2, 1, 2, 1, 2, 10, 10, 6, 2, 10, 6, 1, 10, 2, 2, 6, 10, 10, 1, 2, 5, 2, 2, 10, 6, 9, 2, 2, 10, 10, 2, 1, 6, 10, 1, 2, 10, 2, 6, 1, 1, 10, 10, 10, 1, 1, 2, 1, 1, 4, 6, 1, 2, 6, 2, 6, 2, 10, 2, 10, 1, 1, 10, 1, 2, 2, 1, 10, 2, 1, 6, 2, 1, 1, 6, 6, 10, 6, 1, 10, 2, 2, 6, 2, 2, 6, 2, 2, 6, 6, 2, 2, 10, 1, 2, 9, 1, 10, 4, 10, 2, 6, 1, 6, 10, 6, 10, 10, 1, 1, 10, 10, 1, 6, 10, 2, 2, 2, 10, 2, 1, 1, 10, 2, 10, 1, 10, 2, 2, 2, 1, 1, 6, 10, 10, 2, 6, 2, 2, 1, 10, 1, 10, 1, 6, 10, 1, 10, 1, 1, 6, 2, 6, 1, 1, 10, 10, 6, 0, 10, 2, 2, 10, 10, 6, 1, 5, 1, 2, 1, 2, 2, 6, 2, 2, 10, 10, 10, 6, 1, 1, 1, 1, 2, 6, 1, 1, 0, 10, 6, 10, 1, 2, 2, 2, 2, 1, 6, 5, 2, 2, 10, 1, 2, 1, 9, 6, 10, 10, 1, 10, 6, 2, 2, 10, 6, 1, 10, 1, 10, 6, 1, 2, 10, 6, 2, 10, 2, 1, 6, 2, 1, 6, 1, 2, 1, 2, 10, 10, 10, 10, 1, 10, 10, 6, 6, 2, 10, 1, 2, 2, 1, 10, 6, 2, 6, 1, 1, 1, 1, 2, 2, 10, 6, 1, 10, 1, 1, 9, 10, 10, 2, 10, 1, 10, 1, 1, 1, 6, 6, 6, 10, 10, 10, 10, 1, 2, 10, 2, 1, 10, 1, 1, 0, 1, 1, 2, 6, 10, 1, 6, 6, 10, 10, 1, 4, 6, 1, 1, 1, 10, 6, 6, 1, 10, 2, 2, 2, 6, 10, 2, 2, 2, 1, 10, 1, 10, 2, 2, 10, 10, 10, 6, 10, 5, 6, 2, 2, 1, 10, 2, 1, 2, 10, 2, 2, 6, 1, 2, 10, 10, 6, 10, 2, 10, 6, 2, 2, 6, 1, 6, 6, 6, 1, 1, 6, 2, 2, 2, 1, 2, 6, 10, 1, 2, 1, 6, 2, 1, 1, 1, 5, 6, 1, 6, 2, 10, 2, 1, 1, 1, 6, 2, 6, 2, 2, 2, 1, 10, 5, 10, 2, 6, 2, 10, 1, 9, 2, 2, 10, 10, 2, 10, 6, 10, 6, 10, 1, 1, 1, 10, 2, 2, 10, 1, 1, 10, 2, 1, 10, 6, 1, 2, 1, 2, 10, 10, 6, 1, 1, 6, 2, 1, 1, 2, 10, 10, 10, 6, 2, 1, 1, 0, 1, 1, 1, 10, 2, 2, 10, 6, 2, 1, 2, 1, 2, 1, 10, 10, 10, 6, 2, 1, 1, 5, 10, 10, 2, 1, 1, 6, 2, 10, 2, 1, 6, 2, 6, 6, 1, 1, 1, 6, 1, 10, 1, 6, 6, 6, 10, 2, 1, 6, 1, 6, 1, 6, 10, 1, 6, 6, 2, 6, 6, 1, 1, 1, 6, 2, 10, 1, 6, 10, 10, 10, 6, 10, 2, 2, 6, 1, 1, 6, 10, 1, 4, 6, 10, 10, 6, 10, 2, 2, 1, 6, 2, 1, 1, 6, 1, 6, 2, 1, 1, 4, 5, 6, 2, 2, 1, 1, 2, 5, 6, 1, 10, 6, 2, 1, 2, 1, 6, 6, 1, 10, 2, 1, 10, 10, 1, 10, 6, 6, 2, 1, 6, 1, 10, 6, 6, 5, 6, 10, 1, 2, 2, 6, 2, 10, 2, 1, 1, 2, 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9, 6, 6, 10, 2, 6, 6, 2, 6, 10, 10, 6, 2, 1, 6, 2, 6, 10, 4, 10, 10, 2, 2, 1, 2, 6, 1, 6, 1, 10, 2, 2, 10, 6, 2, 2, 6, 10, 2, 10, 2, 1, 10, 2, 1, 6, 6, 10, 6, 6, 1, 2, 6, 10, 6, 6, 2, 5, 10, 6, 6, 1, 1, 2, 1, 10, 6, 2, 1, 6, 2, 10, 6, 1, 6, 2, 6, 6, 1, 10, 6, 2, 10, 2, 2, 6, 1, 10, 6, 0, 1, 2, 6, 6, 6, 10, 6, 6, 2, 10, 2, 9, 10, 2, 6, 10, 10, 6, 2, 10, 2, 6, 1, 2, 10, 6, 6, 6, 1, 1, 2, 10, 10, 1, 10, 10, 2, 10, 6, 10, 10, 2, 6, 6, 2, 10, 1, 10, 10, 2, 6, 10, 6, 10, 2, 6, 1, 10, 2, 10, 1, 2, 2, 10, 1, 1, 5, 10, 10, 1, 1, 6, 1, 2, 6, 2, 1, 10, 2, 1, 2, 10, 1, 1, 6, 10, 2, 10, 10, 1, 6, 2, 10, 2, 10, 6, 10, 10, 1, 6, 6, 1, 1, 1, 2, 2, 10, 10, 1, 1, 10, 6, 9, 10, 2, 1, 10, 5, 10, 10, 10, 6, 2, 1, 1, 10, 10, 2, 2, 1, 2, 1, 1, 10, 0, 2, 2, 1, 2, 10, 10, 2, 1, 1, 6, 6, 2, 1, 1, 2, 6, 1, 6, 10, 6, 2, 1, 1, 10, 10, 5, 2, 1, 10, 2, 10, 1, 2, 1, 10, 2, 10, 2, 6, 10, 10, 0, 1, 6, 2, 10, 1, 6, 6, 6, 2, 6, 1, 6, 10, 1, 2, 1, 10, 3, 10, 10, 1, 10, 6, 2, 10, 4, 1, 1, 6, 10, 6, 10, 1, 1, 2, 10, 10, 2, 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6, 2, 10, 6, 2, 2, 1, 10, 10, 6, 6, 1, 10, 2, 4, 10, 6, 6, 6, 10, 1, 1, 6, 2, 6, 6, 1, 6, 6, 1, 6, 4, 1, 2, 1, 10, 1, 2, 6, 10, 6, 10, 1, 10, 10, 6, 2, 2, 2, 10, 1, 2, 6, 2, 2, 6, 10, 6, 1, 6, 6, 10, 10, 6, 1, 2, 1, 6, 1, 2, 2, 10, 10, 10, 2, 1, 2, 2, 1, 1, 10, 5, 1, 6, 10, 6, 1, 2, 10, 10, 1, 6, 1, 2, 10, 1, 2, 2, 6, 5, 2, 10, 6, 6, 2, 6, 2, 10, 6, 6, 1, 2, 2, 1, 10, 6, 2, 10, 6, 10, 2, 1, 10, 10, 10, 10, 6, 10, 2, 10, 2, 1, 2, 1, 2, 1, 2, 2, 0, 10, 2, 1, 6, 10, 1, 10, 1, 6, 1, 6, 6, 1, 1, 1, 2, 10, 2, 2, 6, 10, 9, 2, 1, 6, 10, 2, 2, 2, 10, 6, 1, 1, 2, 6, 1, 10, 6, 6, 2, 10, 2, 1, 10, 2, 9, 5, 2, 6, 6, 2, 6, 10, 10, 10, 2, 6, 6, 1, 1, 2, 1, 2, 6, 10, 2, 6, 0, 2, 10, 6, 2, 6, 0, 1, 10, 10, 10, 1, 2, 1, 1, 6, 6, 10, 0, 6, 1, 6, 2, 5, 1, 1, 2, 6, 1, 2, 9, 1, 2, 10, 1, 10, 1, 6, 6, 1, 10, 6, 10, 10, 6, 1, 1, 2, 6, 2, 1, 5, 10, 6, 1, 1, 1, 1, 2, 2, 6, 2, 6, 1, 1, 10, 2, 1, 10, 2, 6, 2, 10, 10, 10, 6, 10, 6, 2, 6, 1, 1, 1, 6, 6, 10, 2, 1, 2, 6, 2, 6, 2, 1, 2, 10, 1, 10, 2, 1, 2, 1, 2, 2, 1, 6, 6, 1, 10, 1, 1, 1, 6, 1, 1, 10, 1, 1, 2, 10, 1, 6, 6, 10, 10, 10, 1, 1, 10, 10, 1, 1, 10, 6, 10, 2, 6, 6, 10, 6, 1, 1, 2, 6, 1, 6, 10, 6, 1, 1, 10, 10, 6, 6, 10, 10, 1, 1, 2, 10, 6, 2, 10, 6, 2, 1, 2, 10, 2, 10, 10, 6, 6, 6, 2, 2, 1, 6, 1, 6, 2, 10, 6, 1, 1, 6, 1, 6, 6, 2, 10, 10, 10, 1, 2, 6, 6, 1, 10, 1, 2, 2, 6, 5, 6, 10, 1, 2, 1, 2, 6, 1, 2, 2, 2, 6, 10, 10, 1, 2, 10, 6, 1, 1, 1, 1, 2, 6, 1, 1, 1, 2, 5, 6, 10, 10, 2, 1, 1, 1, 1, 1, 6, 2, 2, 1, 6, 6, 2, 10, 6, 6, 10, 1, 1, 1, 10, 1, 1, 10, 1, 10, 10, 10, 6, 1, 2, 1, 2, 10, 10, 2, 6, 1, 6, 2, 0, 6, 6, 10, 1, 2, 10, 6, 1, 10, 2, 2, 2, 2, 10, 1, 10, 10, 10, 4, 10, 2, 2, 1, 6, 10, 1, 2, 1, 10, 1, 2, 10, 2, 6, 1, 2, 6, 1, 10, 10, 2, 2, 6, 1, 6, 10, 1, 6, 10, 10, 2, 6, 1, 6, 1, 6, 1, 6, 2, 6, 10, 10, 6, 2, 6, 6, 10, 6, 2, 10, 1, 6, 1, 6, 1, 10, 2, 1, 10, 10, 10, 1, 6, 6, 1, 2, 2, 10, 1, 6, 6, 2, 2, 10, 2, 6, 2, 2, 2, 2, 6, 2, 6, 1, 1, 1, 6, 9, 1, 6, 6, 6, 1, 6, 10, 10, 1, 2, 2, 2, 2, 10, 10, 1, 10, 2, 6, 6, 6, 10, 6, 10, 1, 2, 10, 6, 2, 6, 10, 2, 2, 1, 6, 6, 1, 1, 9, 10, 6, 2, 10, 1, 10, 10, 6, 2, 6, 1, 2, 6, 6, 2, 6, 10, 2, 10, 2, 1, 10, 10, 2, 6, 4, 6, 10, 1, 2, 10, 6, 1, 10, 6, 10, 1, 10, 1, 1, 1, 2, 2, 2, 10, 6, 1, 6, 6, 1, 2, 1, 10, 2, 2, 6, 2, 1, 2, 2, 10, 1, 2, 10, 2, 10, 10, 10, 10, 6, 10, 2, 1, 1, 6, 1, 2, 10, 1, 6, 10, 10, 6, 10, 1, 6, 6, 6, 10, 1, 6, 2, 1, 6, 0, 1, 2, 2, 2, 1, 10, 6, 10, 2, 6, 1, 2, 6, 2, 10, 10, 10, 1, 2, 6, 2, 2, 1, 4, 1, 10, 1, 10, 10, 1, 2, 1, 1, 10, 2, 10, 1, 2, 10, 6, 1, 6, 6, 6, 1, 6, 10, 1, 6, 1, 1, 2, 10, 2, 2, 6, 2, 9, 10, 6, 10, 1, 10, 6, 2, 2, 6, 1, 6, 5, 2, 2, 1, 1, 6, 10, 9, 2, 6, 2, 6, 10, 2, 1, 2, 1, 6, 6, 1, 5, 6, 9, 10, 10, 1, 10, 2, 2, 6, 2, 2, 1, 2, 1, 10, 1, 6, 6, 2, 2, 1, 6, 1, 10, 10, 10, 10, 1, 10, 2, 6, 1, 10, 1, 1, 10, 6, 6, 2, 6, 1, 0, 10, 2, 10, 1, 6, 1, 6, 10, 6, 2, 2, 1, 2, 6, 1, 10, 10, 6, 2, 1, 10, 2, 10, 6, 6, 2, 1, 2, 10, 10, 2, 6, 10, 1, 2, 1, 10, 1, 10, 10, 10, 1, 10, 1, 2, 1, 2, 6, 10, 10, 6, 2, 1, 10, 2, 1, 6, 2, 10, 1, 1, 10, 1, 2, 2, 2, 1, 6, 6, 1, 10, 2, 6, 2, 6, 1, 10, 1, 1, 6, 6, 6, 2, 2, 6, 1, 1, 5, 6, 2, 2, 10, 10, 1, 2, 10, 10, 10, 6, 5, 10, 10, 2, 1, 2, 6, 1, 6, 6, 6, 2, 1, 10, 6, 6, 10, 6, 6, 10, 2, 2, 1, 2, 10, 10, 1, 10, 10, 2, 6, 1, 6, 6, 2, 10, 2, 10, 6, 1, 1, 6, 2, 10, 10, 10, 6, 10, 1, 10, 6, 10, 1, 10, 2, 10, 2, 2, 10, 1, 2, 2, 1, 1, 10, 1, 2, 2, 6, 1, 6, 6, 6, 1, 4, 6, 1, 6, 10, 10, 1, 0, 1, 10, 2, 1, 10, 10, 1, 6, 2, 2, 2, 6, 6, 2, 6, 6, 10, 2, 2, 2, 10, 10, 1, 1, 10, 1, 10, 6, 1, 0, 6, 1, 4, 1, 2, 6, 9, 6, 10, 10, 2, 2, 10, 10, 10, 1, 6, 1, 10, 2, 1, 1, 6, 10, 2, 6, 2, 2, 6, 6, 2, 1, 6, 2, 6, 1, 1, 6, 6, 10, 6, 1, 2, 10, 2, 2, 1, 10, 10, 2, 2, 2, 2, 0, 2, 1, 2, 6, 10, 1, 2, 10, 1, 10, 10, 2, 1, 6, 6, 1, 6, 6, 1, 6, 10, 10, 6, 1, 2, 10, 2, 10, 6, 10, 2, 10, 10, 2, 6, 2, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 6, 6, 2, 2, 2, 6, 1, 1, 1, 6, 10, 1, 2, 2, 2, 2, 10, 10, 10, 2, 6, 6, 5, 6, 10, 10, 6, 6, 0, 10, 10, 1, 1, 2, 2, 1, 2, 2, 1, 10, 2, 6, 4, 6, 10, 2, 10, 1, 1, 1, 2, 10, 6, 10, 1, 2, 10, 2, 1, 6, 6, 1, 1, 10, 1, 2, 2, 6, 2, 1, 1, 2, 2, 6, 2, 10, 1, 2, 10, 1, 10, 1, 10, 1, 6, 10, 6, 10, 6, 2, 2, 1, 10, 10, 2, 1, 6, 2, 10, 6, 6, 2, 1, 10, 1, 2, 10, 10, 1, 1, 10, 2, 2, 2, 10, 1, 4, 10, 2, 6, 2, 10, 2, 2, 6, 3, 2, 1, 6, 1, 10, 10, 5, 1, 10, 1, 1, 10, 10, 1, 1, 1, 6, 2, 2, 6, 5, 6, 10, 2, 10, 4, 6, 10, 1, 2, 1, 1, 1, 2, 1, 6, 2, 10, 1, 2, 1, 5, 10, 10, 2, 6, 1, 10, 10, 2, 10, 2, 6, 6, 6, 1, 1, 10, 1, 2, 2, 6, 2, 1, 6, 6, 10, 6, 2, 1, 1, 6, 10, 2, 6, 2, 1, 2, 1, 6, 2, 6, 1, 10, 2, 2, 1, 1, 6, 10, 10, 1, 10, 6, 2, 6, 1, 2, 1, 2, 10, 10, 1, 10, 10, 2, 5, 2, 6, 1, 6, 6, 6, 2, 1, 2, 1, 10, 4, 6, 6, 10, 1, 10, 10, 5, 10, 6, 6, 5, 10, 2, 6, 1, 6, 2, 1, 6, 2, 2, 1, 10, 6, 6, 1, 10, 9, 2, 6, 1, 10, 2, 5, 1, 1, 10, 10, 6, 10, 1, 6, 1, 6, 6, 1, 2, 1, 2, 2, 2, 10, 0, 10, 2, 6, 1, 2, 2, 2, 1, 1, 6, 10, 6, 10, 2, 2, 6, 1, 2, 10, 10, 1, 1, 6, 6, 10, 1, 6, 6, 2, 1, 6, 6, 1, 10, 10, 2, 10, 2, 1, 1, 2, 10, 10, 10, 6, 9, 1, 1, 1, 10, 6, 6, 1, 6, 1, 6, 1, 10, 2, 6, 2, 1, 1, 6, 6, 10, 1, 2, 6, 6, 1, 10, 6, 10, 1, 6, 6, 5, 6, 1, 1, 2, 10, 1, 2, 10, 10, 10, 10, 6, 6, 2, 1, 6, 10, 10, 2, 6, 1, 10, 6, 1, 2, 2, 10, 0, 1, 10, 2, 6, 2, 2, 1, 2, 10, 2, 1, 2, 1, 2, 10, 10, 2, 2, 2, 6, 1, 6, 6, 1, 6, 6, 10, 1, 9, 10, 10, 6, 10, 10, 1, 1, 10, 2, 6, 6, 1, 2, 0, 10, 10, 2, 10, 2, 2, 2, 1, 5, 2, 6, 2, 10, 10, 2, 2, 10, 6, 10, 1, 10, 10, 2, 6, 6, 6, 6, 2, 2, 6, 1, 10, 1, 1, 1, 6, 10, 10, 1, 10, 2, 1, 6, 6, 10, 1, 6, 1, 10, 2, 6, 1, 2, 10, 10, 6, 10, 6, 10, 2, 1, 1, 9, 10, 10, 10, 1, 2, 2, 2, 10, 1, 6, 1, 2, 2, 6, 2, 1, 10, 10, 10, 6, 1, 1, 10, 2, 2, 10, 10, 6, 6, 2, 10, 6, 4, 10, 10, 10, 1, 10, 2, 10, 2, 2, 2, 10, 10, 2, 10, 2, 2, 2, 10, 10, 6, 2, 9, 10, 10, 1, 2, 1, 2, 10, 1, 2, 1, 2, 2, 1, 2, 1, 10, 6, 10, 2, 10, 1, 2, 1, 10, 6, 2, 1, 6, 10, 6, 2, 6, 1, 10, 6, 2, 2, 1, 1, 2, 2, 6, 10, 10, 2, 10, 6, 6, 10, 6, 10, 2, 10, 10, 10, 2, 10, 2, 10, 6, 1, 2, 10, 2, 2, 1, 2, 6, 10, 1, 1, 6, 10, 1, 10, 10, 10, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 10, 1, 10, 2, 1, 10, 2, 1, 2, 10, 1, 6, 2, 1, 10, 2, 1, 1, 2, 10, 2, 6, 10, 10, 10, 6, 6, 2, 10, 10, 1, 1, 6, 6, 1, 2, 6, 10, 2, 2, 2, 6, 6, 6, 1, 6, 1, 2, 1, 2, 2, 1, 10, 10, 4, 2, 6, 10, 6, 10, 1, 2, 6, 2, 6, 6, 10, 6, 10, 10, 2, 1, 1, 2, 6, 1, 6, 10, 1, 2, 1, 2, 2, 2, 6, 10, 2, 6, 1, 1, 1, 10, 2, 6, 1, 6, 2, 2, 10, 6, 2, 6, 10, 2, 1, 2, 1, 10, 6, 2, 2, 10, 10, 1, 1, 6, 1, 2, 10, 10, 1, 10, 1, 2, 1, 1, 6, 1, 6, 10, 1, 10, 2, 10, 2, 6, 1, 10, 10, 2, 1, 6, 1, 10, 0, 6, 10, 6, 10, 10, 6, 6, 6, 1, 2, 1, 6, 2, 6, 10, 4, 6, 6, 2, 1, 2, 1, 1, 10, 10, 2, 10, 6, 1, 10, 6, 2, 10, 10, 9, 4, 1, 6, 10, 10, 6, 6, 10, 6, 10, 2, 6, 10, 6, 1, 6, 2, 1, 1, 10, 10, 6, 1, 1, 6, 1, 10, 6, 1, 10, 2, 1, 2, 2, 1, 0, 6, 2, 6, 1, 2, 1, 1, 2, 1, 1, 4, 2, 6, 6, 1, 2, 1, 2, 1, 6, 10, 1, 1, 6, 6, 1, 10, 10, 2, 1, 2, 6, 4, 6, 6, 1, 10, 10, 6, 5, 1, 1, 1, 6, 2, 2, 6, 1, 6, 10, 10, 2, 1, 6, 10, 1, 1, 1, 2, 10, 1, 6, 6, 6, 1, 4, 10, 1, 10, 2, 10, 1, 10, 10, 10, 1, 6, 6, 6, 10, 2, 2, 6, 10, 4, 2, 9, 1, 10, 2, 6, 10, 10, 1, 1, 2, 1, 10, 1, 1, 10, 6, 10, 6, 2, 2, 6, 2, 10, 6, 2, 10, 1, 10, 10, 10, 6, 10, 6, 2, 6, 4, 1, 2, 0, 10, 6, 6, 1, 1, 2, 2, 6, 6, 2, 1, 6, 1, 2, 10, 10, 1, 1, 1, 1, 10, 10, 10, 10, 1, 2, 10, 1, 10, 1, 6, 1, 10, 6, 6, 6, 1, 6, 6, 6, 1, 1, 2, 10, 6, 2, 1, 6, 1, 10, 10, 5, 1, 2, 6, 1, 2, 10, 10, 2, 2, 2, 1, 6, 1, 6, 4, 1, 6, 2, 6, 2, 10, 2, 10, 2, 6, 2, 1, 10, 10, 1, 2, 2, 6, 2, 10, 6, 10, 1, 10, 10, 1, 10, 1, 6, 6, 6, 6, 1, 2, 2, 2, 1, 1, 6, 2, 10, 1, 1, 10, 1, 2, 6, 1, 1, 6, 1, 1, 1, 5, 1, 1, 6, 2, 1, 10, 10, 10, 6, 10, 2, 10, 6, 1, 6, 1, 6, 10, 2, 6, 1, 2, 6, 10, 10, 1, 2, 6, 6, 1, 1, 1, 2, 2, 10, 5, 10, 6, 1, 2, 10, 10, 6, 6, 6, 10, 1, 9, 10, 1, 6, 10, 1, 6, 10, 1, 2, 6, 2, 6, 6, 1, 6, 2, 1, 6, 2, 6, 1, 1, 6, 2, 10, 2, 1, 6, 1, 10, 2, 10, 6, 2, 6, 6, 6, 10, 1, 2, 1, 10, 2, 6, 10, 6, 2, 10, 6, 2, 2, 10, 1, 1, 2, 2, 10, 10, 2, 1, 1, 6, 6, 2, 6, 6, 10, 6, 2, 10, 6, 10, 10, 6, 2, 6, 2, 6, 6, 6, 10, 1, 1, 2, 1, 6, 2, 1, 1, 2, 10, 10, 6, 6, 2, 2, 6, 2, 10, 10, 1, 2, 1, 10, 6, 10, 1, 1, 6, 10, 6, 1, 2, 10, 6, 2, 6, 6, 10, 10, 10, 2, 2, 6, 2, 10, 10, 1, 10, 2, 1, 6, 10, 10, 10, 6, 1, 10, 2, 10, 6, 1, 1, 0, 6, 1, 10, 10, 6, 0, 1, 10, 10, 4, 2, 2, 10, 10, 2, 6, 1, 1, 1, 1, 6, 1, 1, 2, 10, 10, 6, 6, 2, 6, 2, 10, 2, 2, 2, 2, 1, 10, 10, 6, 10, 6, 6, 1, 6, 2, 1, 6, 1, 4, 10, 2, 10, 1, 1, 10, 6, 10, 10, 10, 2, 6, 6, 1, 2, 0, 0, 10, 10, 2, 2, 6, 6, 6, 10, 10, 10, 1, 6, 6, 2, 10, 1, 2, 1, 10, 6, 6, 1, 6, 2, 2, 9, 10, 1, 1, 2, 1, 6, 2, 2, 6, 1, 1, 1, 1, 1, 1, 10, 2, 1, 10, 2, 2, 10, 6, 10, 1, 6, 10, 6, 10, 2, 2, 1, 1, 1, 2, 6, 6, 1, 2, 10, 6, 10, 1, 1, 6, 10, 2, 1, 2, 2, 1, 1, 2, 6, 6, 0, 2, 2, 6, 2, 2, 1, 6, 6, 6, 10, 1, 10, 6, 6, 1, 10, 2, 6, 1, 2, 2, 1, 10, 5, 2, 10, 10, 6, 6, 2, 6, 1, 6, 2, 2, 6, 6, 6, 1, 2, 10, 10, 6, 10, 2, 1, 1, 10, 2, 6, 6, 2, 2, 2, 6, 6, 10, 5, 9, 10, 2, 6, 10, 2, 10, 1, 10, 10, 10, 6, 2, 6, 2, 2, 6, 6, 6, 10, 10, 6, 10, 10, 1, 2, 6, 10, 2, 2, 10, 2, 2, 10, 1, 10, 6, 2, 6, 0, 0, 6, 2, 2, 1, 6, 6, 2, 2, 1, 2, 10, 6, 1, 6, 10, 2, 2, 6, 6, 10, 2, 10, 1, 10, 1, 10, 2, 1, 6, 10, 6, 1, 6, 1, 1, 6, 10, 5, 2, 6, 1, 2, 6, 10, 10, 1, 2, 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1, 2, 6, 10, 6, 2, 2, 10, 6, 6, 6, 10, 1, 2, 2, 1, 6, 1, 10, 1, 10, 10, 2, 1, 10, 1, 10, 10, 6, 6, 10, 1, 6, 1, 6, 1, 10, 10, 2, 6, 1, 10, 10, 6, 10, 1, 2, 1, 10, 1, 1, 6, 1, 6, 1, 1, 2, 10, 6, 10, 10, 2, 1, 1, 2, 2, 1, 10, 1, 1, 10, 6, 6, 1, 2, 10, 10, 2, 2, 6, 10, 6, 1, 2, 2, 1, 2, 6, 2, 10, 1, 2, 10, 2, 2, 6, 10, 5, 10, 10, 2, 2, 2, 2, 1, 6, 2, 6, 6, 6, 2, 2, 6, 1, 2, 1, 9, 6, 1, 10, 6, 1, 1, 1, 2, 1, 2, 10, 9, 1, 10, 6, 1, 4, 2, 10, 6, 1, 1, 10, 10, 1, 10, 10, 10, 2, 10, 6, 2, 10, 6, 1, 1, 2, 6, 10, 1, 10, 6, 1, 10, 2, 10, 2, 10, 1, 2, 2, 1, 10, 1, 2, 2, 2, 10, 10, 0, 6, 1, 6, 10, 6, 5, 2, 2, 10, 1, 10, 1, 1, 1, 1, 0, 2, 1, 2, 2, 6, 2, 6, 2, 2, 10, 2, 1, 1, 10, 1, 1, 10, 6, 2, 6, 1, 2, 10, 10, 10, 6, 1, 2, 2, 6, 10, 1, 6, 1, 10, 1, 6, 2, 6, 10, 10, 10, 1, 2, 1, 2, 1, 6, 10, 2, 10, 1, 10, 1, 2, 1, 10, 10, 1, 2, 2, 1, 2, 2, 1, 2, 1, 10, 10, 2, 6, 2, 1, 6, 6, 10, 10, 2, 1, 10, 10, 1, 0, 6, 6, 2, 1, 1, 1, 10, 10, 6, 1, 2, 1, 1, 2, 2, 10, 1, 6, 2, 2, 10, 2, 10, 6, 2, 10, 5, 10, 2, 6, 2, 1, 2, 6, 1, 1, 1, 2, 1, 10, 1, 2, 1, 6, 10, 2, 2, 6, 10, 2, 6, 2, 1, 1, 2, 10, 10, 1, 10, 2, 2, 2, 10, 1, 2, 5, 1, 2, 1, 10, 10, 10, 2, 1, 1, 2, 6, 6, 1, 1, 2, 2, 2, 2, 6, 2, 2, 6, 2, 6, 1, 6, 6, 1, 10, 1, 2, 2, 2, 2, 6, 2, 10, 10, 1, 10, 2, 6, 6, 2, 2, 6, 4, 6, 10, 6, 1, 2, 2, 1, 2, 2, 9, 10, 2, 1, 10, 10, 6, 2, 10, 1, 2, 10, 6, 2, 1, 10, 10, 6, 2, 2, 6, 6, 10, 10, 2, 10, 0, 1, 1, 6, 2, 10, 1, 10, 2, 5, 1, 2, 10, 6, 6, 1, 2, 2, 10, 2, 6, 6, 10, 2, 5, 1, 10, 10, 6, 6, 0, 2, 1, 1, 10, 2, 0, 10, 2, 1, 6, 2, 5, 6, 2, 2, 6, 6, 10, 10, 6, 2, 9, 1, 2, 10, 1, 1, 1, 10, 1, 10, 6, 2, 1, 2, 10, 2, 6, 6, 6, 1, 6, 1, 1, 2, 2, 4, 6, 1, 1, 2, 2, 2, 6, 2, 2, 2, 2, 10, 2, 0, 6, 6, 6, 2, 2, 10, 1, 6, 2, 10, 10, 6, 6, 10, 6, 2, 6, 2, 10, 10, 9, 6, 2, 10, 1, 2, 1, 2, 2, 6, 1, 1, 6, 10, 6, 10, 2, 6, 1, 6, 5, 10, 2, 2, 10, 0, 1, 6, 2, 1, 1, 1, 2, 2, 1, 2, 10, 6, 1, 1, 10, 2, 1, 6, 2, 10, 10, 6, 1, 1, 5, 2, 6, 2, 10, 6, 1, 2, 10, 1, 4, 10, 6, 6, 6, 6, 6, 10, 10, 6, 2, 2, 10, 1, 10, 6, 10, 6, 1, 2, 9, 6, 10, 2, 4, 10, 6, 9, 2, 2, 9, 10, 9, 10, 2, 10, 2, 6, 2, 10, 10, 10, 5, 1, 10, 10, 2, 2, 6, 2, 1, 10, 6, 10, 10, 2, 6, 1, 1, 1, 10, 6, 6, 1, 2, 1, 1, 2, 1, 10, 1, 6, 2, 10, 1, 1, 2, 5, 2, 1, 6, 1, 6, 2, 1, 2, 6, 10, 10, 2, 6, 10, 10, 1, 6, 6, 6, 10, 10, 2, 2, 6, 4, 4, 1, 10, 6, 2, 6, 6, 1, 2, 10, 2, 1, 10, 6, 2, 6, 10, 6, 1, 6, 6, 6, 1, 2, 2, 9, 6, 1, 2, 1, 10, 2, 2, 2, 10, 10, 2, 10, 2, 6, 2, 2, 10, 2, 1, 1, 1, 1, 10, 4, 1, 40, 2, 6, 2, 6, 10, 10, 5, 1, 10, 10, 10, 2, 1, 6, 1, 6, 2, 10, 10, 2, 6, 10, 2, 10, 6, 1, 10, 10, 6, 1, 10, 10, 1, 10, 2, 4, 6, 2, 2, 1, 10, 10, 10, 6, 10, 6, 10, 2, 2, 1, 2, 10, 9, 6, 10, 2, 1, 2, 10, 6, 10, 2, 6, 10, 1, 2, 10, 2, 10, 1, 2, 1, 10, 1, 10, 0, 1, 6, 10, 10, 6, 6, 6, 1, 2, 6, 2, 2, 6, 2, 10, 10, 6, 10, 10, 1, 6, 1, 6, 2, 10, 6, 1, 10, 1, 10, 10, 6, 6, 2, 1, 1, 1, 6, 2, 2, 1, 1, 1, 10, 1, 6, 6, 10, 6, 1, 1, 10, 2, 2, 6, 2, 10, 6, 10, 6, 1, 10, 10, 10, 6, 6, 2, 2, 10, 2, 2, 10, 2, 6, 2, 6, 10, 1, 10, 1, 1, 1, 10, 4, 2, 1, 1, 0, 10, 2, 6, 2, 10, 2, 6, 10, 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10, 10, 6, 10, 10, 10, 2, 10, 1, 6, 10, 6, 10, 6, 6, 6, 2, 6, 1, 0, 6, 2, 10, 6, 1, 6, 1, 2, 10, 2, 6, 1, 2, 10, 1, 1, 1, 1, 6, 10, 1, 2, 6, 10, 1, 10, 10, 2, 10, 2, 1, 2, 6, 10, 1, 2, 10, 6, 6, 1, 10, 10, 10, 10, 10, 6, 10, 1, 2, 6, 6, 10, 6, 6, 10, 1, 2, 10, 2, 10, 1, 10, 10, 2, 2, 1, 6, 6, 1, 2, 6, 2, 6, 2, 10, 2, 2, 6, 2, 10, 10, 6, 10, 6, 1, 1, 6, 1, 10, 10, 6, 6, 10, 1, 6, 1, 2, 4, 6, 6, 6, 10, 10, 2, 6, 10, 1, 10, 6, 1, 10, 10, 10, 2, 10, 1, 6, 10, 2, 1, 10, 9, 1, 6, 6, 1, 2, 2, 10, 6, 10, 2, 10, 6, 2, 10, 6, 10, 2, 1, 2, 2, 6, 1, 10, 2, 2, 10, 2, 10, 10, 2, 0, 1, 10, 10, 1, 10, 1, 1, 1, 1, 1, 10, 6, 2, 6, 2, 1, 6, 2, 6, 1, 2, 10, 1, 2, 6, 10, 6, 6, 10, 2, 2, 1, 2, 2, 10, 1, 1, 1, 6, 6, 6, 1, 10, 10, 2, 1, 10, 6, 10, 1, 6, 1, 10, 1, 4, 1, 2, 2, 6, 2, 6, 10, 2, 2, 2, 2, 10, 1, 1, 6, 6, 2, 1, 2, 0, 1, 1, 2, 6, 9, 0, 2, 2, 1, 6, 2, 10, 2, 10, 10, 10, 2, 6, 10, 2, 1, 10, 10, 2, 10, 6, 2, 1, 6, 1, 2, 2, 2, 2, 1, 10, 6, 1, 1, 10, 2, 10, 2, 2, 6, 2, 10, 6, 10, 2, 2, 2, 2, 1, 1, 6, 2, 1, 1, 2, 1, 10, 2, 1, 10, 2, 1, 6, 2, 10, 10, 10, 6, 10, 10, 6, 6, 2, 2, 6, 6, 1, 10, 6, 10, 10, 6, 10, 1, 2, 2, 6, 2, 1, 6, 10, 6, 6, 1, 10, 2, 1, 6, 2, 6, 6, 6, 1, 1, 5, 10, 6, 2, 10, 2, 1, 1, 6, 1, 2, 10, 1, 2, 1, 10, 10, 10, 1, 2, 6, 1, 6, 1, 2, 6, 1, 10, 2, 5, 10, 2, 6, 6, 2, 2, 1, 2, 10, 1, 10, 1, 6, 6, 1, 10, 10, 1, 1, 1, 2, 1, 2, 1, 10, 6, 6, 1, 6, 10, 6, 1, 1, 6, 1, 1, 2, 2, 10, 10, 2, 1, 10, 6, 1, 2, 1, 1, 2, 10, 10, 10, 1, 1, 10, 1, 2, 6, 10, 2, 1, 2, 2, 10, 1, 2, 2, 10, 6, 10, 2, 6, 6, 1, 6, 10, 2, 6, 6, 6, 10, 6, 1, 10, 1, 1, 6, 10, 10, 6, 1, 1, 1, 6, 10, 6, 2, 10, 6, 1, 9, 1, 6, 1, 10, 10, 6, 10, 1, 2, 1, 2, 10, 4, 1, 10, 6, 0, 10, 1, 6, 10, 2, 10, 6, 1, 6, 3, 2, 1, 6, 10, 1, 2, 1, 6, 6, 6, 10, 2, 10, 6, 1, 6, 1, 2, 10, 2, 2, 2, 6, 10, 1, 10, 1, 2, 2, 2, 6, 2, 1, 6, 1, 1, 10, 1, 9, 10, 1, 6, 1, 10, 10, 1, 10, 2, 6, 2, 1, 1, 2, 6, 10, 1, 4, 10, 1, 1, 6, 10, 2, 6, 6, 1, 6, 5, 2, 2, 2, 1, 1, 1, 6, 10, 2, 6, 2, 1, 1, 2, 10, 10, 6, 10, 10, 6, 6, 6, 10, 6, 1, 6, 10, 2, 6, 0, 2, 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1, 1, 6, 2, 6, 2, 2, 1, 10, 2, 1, 1, 1, 2, 6, 6, 10, 10, 2, 5, 2, 10, 6, 1, 1, 1, 2, 10, 1, 6, 1, 10, 10, 10, 2, 2, 1, 2, 2, 6, 2, 6, 6, 1, 6, 6, 10, 2, 1, 1, 10, 6, 2, 10, 2, 10, 2, 10, 2, 2, 2, 1, 2, 10, 10, 1, 10, 10, 2, 2, 1, 1, 1, 2, 6, 10, 10, 1, 6, 1, 2, 9, 6, 1, 6, 2, 1, 10, 10, 10, 6, 2, 6, 1, 1, 2, 2, 10, 1, 1, 6, 6, 6, 6, 10, 10, 1, 10, 1, 6, 6, 1, 2, 6, 6, 1, 2, 1, 6, 2, 2, 1, 6, 1, 6, 2, 2, 1, 6, 2, 1, 1, 10, 10, 5, 6, 10, 10, 1, 2, 10, 1, 1, 10, 1, 6, 10, 4, 1, 1, 6, 9, 2, 2, 6, 2, 10, 1, 1, 6, 1, 2, 1, 10, 6, 1, 1, 1, 6, 7, 10, 6, 2, 1, 6, 1, 1, 1, 6, 10, 1, 6, 2, 2, 6, 6, 2, 1, 2, 1, 1, 6, 10, 10, 1, 10, 2, 2, 10, 1, 6, 10, 10, 6, 10, 1, 10, 9, 2, 1, 2, 1, 2, 10, 10, 1, 10, 6, 6, 2, 1, 2, 6, 10, 2, 10, 1, 6, 6, 2, 1, 10, 10, 1, 10, 1, 10, 2, 10, 10, 6, 2, 6, 10, 1, 6, 5, 1, 1, 1, 6, 6, 6, 1, 2, 10, 6, 1, 10, 1, 2, 2, 1, 10, 6, 1, 10, 6, 10, 2, 10, 10, 1, 2, 10, 1, 2, 1, 6, 1, 9, 10, 6, 2, 6, 2, 1, 1, 1, 10, 1, 6, 6, 10, 10, 2, 10, 2, 10, 10, 10, 1, 6, 6, 2, 2, 1, 2, 6, 1, 2, 1, 2, 2, 2, 10, 6, 6, 6, 6, 6, 2, 1, 2, 1, 10, 10, 10, 10, 6, 1, 10, 2, 0, 2, 1, 10, 10, 10, 10, 6, 5, 1, 2, 10, 1, 2, 1, 6, 2, 1, 2, 2, 2, 6, 10, 10, 2, 10, 6, 10, 6, 6, 2, 1, 2, 10, 10, 2, 10, 2, 2, 6, 1, 10, 6, 2, 1, 10, 2, 6, 6, 10, 10, 2, 1, 10, 10, 10, 10, 6, 10, 2, 2, 10, 6, 6, 1, 10, 6, 2, 1, 10, 2, 10, 2, 6, 9, 6, 10, 10, 2, 2, 2, 6, 1, 2, 1, 10, 10, 6, 6, 10, 1, 1, 10, 2, 1, 2, 6, 6, 6, 2, 6, 10, 6, 1, 6, 2, 6, 2, 1, 1, 6, 1, 2, 10, 10, 2, 1, 6, 1, 10, 10, 1, 1, 9, 1, 6, 6, 2, 10, 2, 6, 1, 10, 2, 5, 0, 6, 10, 1, 1, 6, 2, 6, 6, 2, 6, 1, 6, 6, 2, 10, 10, 2, 6, 6, 2, 1, 1, 10, 1, 10, 1, 10, 10, 2, 10, 2, 4, 1, 2, 2, 10, 2, 5, 6, 10, 1, 1, 10, 2, 6, 10, 10, 10, 10, 6, 2, 2, 2, 10, 6, 2, 6, 6, 2, 1, 6, 2, 2, 10, 6, 1, 6, 10, 6, 2, 1, 2, 1, 1, 10, 1, 10, 1, 1, 6, 10, 10, 2, 6, 1, 1, 2, 1, 2, 10, 10, 6, 1, 2, 10, 6, 2, 0, 6, 2, 2, 5, 2, 2, 1, 1, 1, 1, 6, 6, 0, 6, 10, 6, 2, 10, 10, 6, 4, 1, 1, 10, 1, 10, 10, 10, 6, 10, 1, 6, 6, 10, 2, 2, 10, 1, 10, 10, 2, 10, 1, 10, 1, 10, 10, 6, 1, 2, 1, 10, 10, 6, 6, 2, 10, 2, 6, 1, 10, 2, 1, 6, 6, 10, 6, 10, 10, 6, 2, 6, 10, 2, 6, 6, 6, 6, 1, 6, 10, 1, 6, 1, 6, 2, 1, 1, 6, 10, 2, 10, 1, 6, 0, 1, 2, 6, 10, 9, 6, 10, 1, 1, 10, 1, 1, 2, 2, 10, 1, 10, 6, 2, 9, 1, 10, 10, 10, 2, 10, 10, 2, 6, 2, 6, 6, 2, 10, 10, 10, 1, 10, 10, 2, 1, 2, 6, 10, 6, 2, 2, 10, 6, 6, 40, 1, 2, 2, 2, 6, 10, 10, 6, 6, 1, 2, 10, 1, 10, 10, 1, 10, 1, 2, 1, 10, 1, 10, 6, 5, 1, 6, 1, 6, 6, 10, 2, 1, 10, 2, 1, 10, 5, 1, 2, 10, 1, 6, 2, 6, 2, 4, 2, 10, 2, 10, 2, 10, 10, 2, 6, 6, 10, 6, 6, 2, 10, 10, 1, 6, 10, 6, 2, 1, 1, 6, 2, 1, 1, 1, 1, 6, 0, 1, 1, 2, 10, 10, 2, 2, 6, 2, 6, 2, 2, 10, 10, 1, 1, 10, 2, 9, 2, 10, 6, 10, 10, 2, 10, 10, 1, 10, 1, 10, 1, 2, 10, 10, 1, 2, 6, 6, 6, 1, 6, 6, 6, 1, 10, 10, 2, 2, 1, 10, 2, 2, 9, 1, 1, 10, 1, 6, 10, 10, 10, 1, 6, 6, 6, 10, 2, 2, 6, 6, 10, 2, 0, 1, 6, 1, 2, 6, 1, 1, 10, 2, 6, 10, 2, 6, 0, 6, 10, 6, 2, 6, 10, 2, 6, 6, 1, 2, 6, 10, 1, 1, 10, 2, 10, 1, 2, 10, 2, 2, 5, 10, 10, 6, 5, 2, 10, 6, 10, 1, 1, 10, 1, 1, 2, 2, 10, 2, 10, 2, 9, 6, 10, 2, 6, 6, 1, 6, 1, 1, 1, 6, 1, 0, 2, 6, 10, 10, 2, 5, 6, 0, 0, 2, 10, 2, 1, 2, 10, 10, 2, 0, 1, 10, 6, 1, 10, 6, 1, 1, 2, 2, 1, 10, 1, 2, 6, 1, 5, 10, 10, 1, 6, 10, 1, 2, 1, 6, 2, 10, 6, 10, 2, 2, 2, 2, 10, 1, 1, 1, 6, 6, 10, 6, 2, 1, 10, 10, 1, 2, 1, 10, 10, 2, 10, 10, 1, 2, 2, 6, 10, 2, 1, 6, 10, 6, 6, 2, 10, 2, 10, 10, 1, 2, 1, 1, 1, 4, 10, 9, 10, 6, 10, 10, 6, 10, 10, 1, 2, 6, 10, 2, 10, 6, 1, 1, 6, 10, 10, 10, 1, 2, 6, 10, 2, 10, 2, 2, 10, 1, 2, 10, 10, 1, 1, 0, 6, 5, 6, 2, 1, 10, 2, 1, 1, 10, 10, 6, 2, 6, 10, 2, 6, 10, 2, 2, 1, 2, 2, 1, 2, 10, 1, 5, 1, 6, 1, 2, 9, 10, 6, 2, 6, 1, 1, 6, 6, 2, 6, 1, 6, 2, 6, 1, 1, 10, 6, 6, 10, 2, 1, 10, 10, 1, 10, 10, 6, 6, 0, 1, 6, 2, 2, 6, 6, 1, 1, 1, 10, 2, 10, 1, 10, 2, 6, 6, 10, 10, 2, 10, 2, 6, 6, 6, 6, 6, 1, 6, 5, 1, 2, 6, 2, 2, 1, 10, 2, 10, 6, 1, 6, 6, 0, 10, 6, 9, 5, 2, 1, 2, 2, 2, 1, 10, 2, 2, 10, 10, 2, 6, 1, 6, 2, 6, 6, 1, 1, 6, 10, 2, 2, 10, 6, 6, 10, 10, 10, 6, 2, 2, 1, 10, 6, 6, 10, 1, 10, 6, 10, 2, 2, 0, 2, 10, 6, 6, 6, 1, 2, 2, 10, 6, 1, 1, 10, 6, 1, 1, 1, 2, 6, 10, 1, 1, 10, 2, 1, 2, 10, 10, 10, 1, 1, 2, 10, 2, 6, 6, 10, 6, 2, 6, 10, 1, 2, 5, 2, 2, 10, 2, 10, 6, 2, 6, 10, 1, 1, 6, 2, 2, 6, 10, 1, 1, 10, 1, 6, 10, 6, 1, 1, 6, 6, 2, 10, 4, 1, 1, 6, 2, 2, 1, 1, 10, 6, 1, 10, 6, 2, 6, 2, 10, 1, 0, 6, 2, 6, 10, 2, 10, 6, 1, 10, 6, 2, 2, 6, 2, 1, 10, 10, 6, 10, 2, 6, 6, 10, 6, 6, 6, 10, 1, 2, 10, 1, 10, 2, 6, 10, 6, 1, 2, 10, 10, 6, 9, 10, 1, 1, 2, 2, 1, 6, 9, 2, 6, 1, 6, 2, 2, 10, 10, 6, 2, 1, 2, 6, 10, 5, 1, 10, 10, 2, 1, 1, 6, 10, 10, 1, 1, 2, 6, 2, 10, 2, 6, 1, 10, 6, 1, 6, 6, 2, 10, 10, 10, 10, 2, 2, 1, 1, 2, 10, 10, 6, 6, 6, 10, 1, 2, 1, 10, 6, 1, 6, 1, 1, 2, 1, 5, 1, 0, 2, 10, 2, 10, 1, 6, 6, 1, 6, 10, 1, 1, 10, 6, 2, 10, 6, 6, 6, 10, 2, 1, 4, 2, 1, 1, 6, 1, 2, 2, 2, 6, 10, 10, 2, 10, 6, 6, 2, 2, 1, 10, 10, 6, 6, 1, 6, 6, 1, 6, 6, 6, 10, 1, 6, 10, 5, 2, 2, 10, 6, 6, 2, 6, 2, 2, 10, 10, 6, 10, 6, 2, 2, 6, 2, 2, 2, 1, 1, 1, 6, 10, 2, 9, 10, 0, 1, 1, 6, 10, 10, 10, 6, 1, 10, 2, 1, 1, 1, 1, 10, 10, 10, 10, 1, 10, 10, 1, 2, 2, 2, 1, 1, 1, 6, 10, 10, 10, 1, 10, 9, 10, 2, 2, 2, 1, 2, 2, 6, 10, 6, 10, 10, 10, 2, 2, 2, 10, 1, 1, 1, 4, 1, 1, 10, 1, 1, 6, 1, 1, 10, 1, 2, 6, 10, 2, 6, 2, 6, 10, 1, 10, 6, 10, 10, 50, 10, 6, 10, 10, 1, 6, 2, 6, 6, 2, 0, 2, 2, 2, 1, 2, 2, 6, 2, 6, 6, 6, 1, 10, 6, 2, 2, 10, 6, 2, 6, 6, 6, 1, 2, 2, 2, 1, 2, 2, 1, 5, 10, 2, 2, 1, 6, 6, 1, 6, 5, 6, 10, 2, 2, 1, 10, 10, 6, 6, 1, 10, 1, 2, 2, 1, 2, 10, 6, 10, 10, 10, 6, 6, 6, 1, 1, 10, 1, 6, 2, 10, 2, 10, 6, 6, 6, 1, 10, 5, 2, 2, 1, 2, 2, 10, 6, 6, 10, 1, 1, 2, 10, 0, 6, 6, 6, 1, 2, 1, 10, 10, 2, 2, 6, 1, 10, 10, 1, 1, 1, 2, 4, 6, 10, 10, 6, 2, 2, 10, 10, 10, 2, 2, 2, 5, 2, 10, 10, 10, 2, 6, 10, 1, 2, 6, 1, 10, 2, 6, 5, 2, 6, 1, 1, 6, 0, 2, 10, 2, 6, 0, 1, 10, 10, 1, 10, 1, 1, 10, 1, 2, 1, 1, 1, 10, 1, 4, 2, 1, 2, 1, 1, 2, 6, 0, 10, 2, 2, 2, 10, 1, 1, 10, 6, 2, 10, 2, 6, 5, 6, 10, 2, 10, 1, 6, 6, 2, 10, 1, 6, 6, 1, 1, 6, 6, 6, 10, 10, 1, 6, 2, 2, 6, 1, 10, 1, 1, 1, 6, 10, 2, 9, 1, 2, 1, 10, 6, 6, 6, 6, 10, 6, 1, 2, 2, 1, 2, 6, 10, 6, 6, 6, 10, 10, 2, 2, 6, 9, 10, 2, 2, 10, 6, 1, 1, 6, 1, 1, 1, 1, 10, 2, 1, 10, 2, 2, 6, 1, 2, 1, 2, 2, 6, 6, 2, 6, 1, 10, 1, 6, 10, 2, 6, 6, 6, 6, 1, 1, 1, 6, 2, 10, 10, 1, 6, 4, 1, 6, 10, 1, 1, 6, 4, 1, 2, 2, 1, 1, 2, 6, 4, 10, 10, 10, 1, 2, 6, 10, 1, 1, 2, 10, 10, 1, 1, 1, 1, 2, 2, 10, 10, 1, 10, 1, 0, 1, 10, 2, 6, 6, 2, 1, 1, 2, 2, 10, 1, 2, 6, 1, 1, 2, 10, 1, 10, 6, 1, 1, 10, 10, 2, 2, 1, 1, 1, 1, 2, 6, 10, 1, 2, 6, 10, 2, 2, 0, 2, 6, 2, 2, 6, 6, 2, 2, 1, 1, 10, 6, 6, 10, 10, 6, 1, 1, 6, 6, 10, 6, 2, 2, 9, 1, 6, 1, 6, 6, 1, 1, 6, 2, 2, 6, 6, 1, 2, 6, 6, 10, 10, 1, 1, 6, 10, 6, 6, 10, 10, 2, 6, 2, 10, 6, 2, 6, 2, 1, 10, 2, 6, 2, 2, 10, 2, 6, 1, 10, 2, 6, 10, 6, 5, 2, 2, 1, 1, 6, 2, 10, 1, 2, 2, 0, 10, 10, 1, 5, 2, 10, 6, 0, 2, 10, 10, 1, 2, 10, 1, 1, 2, 10, 6, 10, 1, 1, 2, 2, 1, 1, 1, 2, 10, 6, 6, 1, 6, 2, 10, 1, 6, 6, 2, 2, 2, 1, 1, 10, 5, 1, 5, 10, 1, 6, 2, 10, 10, 6, 1, 6, 2, 10, 2, 1, 2, 6, 2, 6, 10, 6, 6, 10, 2, 1, 1, 10, 2, 6, 4, 2, 1, 6, 6, 1, 1, 10, 10, 2, 6, 1, 6, 10, 1, 2, 4, 6, 1, 10, 2, 10, 10, 2, 1, 1, 6, 2, 1, 0, 6, 6, 10, 10, 1, 1, 2, 6, 2, 6, 2, 6, 2, 1, 1, 2, 2, 1, 1, 10, 6, 2, 6, 2, 1, 2, 2, 10, 1, 6, 1, 10, 6, 10, 10, 10, 2, 2, 1, 1, 10, 1, 6, 1, 1, 10, 2, 6, 1, 2, 6, 2, 10, 6, 1, 2, 10, 1, 6, 6, 2, 1, 6, 10, 2, 1, 10, 0, 1, 6, 1, 10, 2, 1, 6, 6, 0, 2, 1, 6, 2, 1, 2, 4, 1, 1, 10, 1, 1, 1, 10, 1, 1, 6, 10, 2, 6, 1, 2, 10, 6, 10, 10, 6, 10, 2, 2, 6, 1, 6, 2, 6, 2, 6, 2, 6, 6, 6, 10, 2, 6, 2, 2, 1, 10, 10, 1, 2, 6, 1, 1, 10, 9, 2, 2, 1, 6, 6, 6, 6, 1, 6, 2, 10, 1, 2, 10, 1, 0, 2, 6, 6, 6, 1, 10, 1, 6, 6, 1, 2, 1, 2, 6, 6, 1, 1, 4, 10, 1, 2, 2, 10, 10, 2, 10, 1, 1, 6, 1, 10, 2, 6, 0, 2, 2, 10, 1, 6, 10, 10, 6, 6, 2, 10, 6, 2, 2, 1, 2, 6, 1, 6, 1, 6, 2, 10, 10, 1, 10, 10, 6, 2, 4, 2, 1, 1, 6, 2, 10, 10, 1, 10, 6, 10, 6, 2, 2, 10, 2, 6, 1, 10, 10, 2, 1, 2, 6, 6, 1, 6, 10, 2, 1, 1, 10, 2, 1, 6, 10, 10, 6, 6, 5, 10, 2, 6, 6, 1, 10, 4, 10, 2, 10, 2, 10, 1, 1, 2, 10, 1, 6, 10, 10, 6, 6, 1, 1, 1, 6, 2, 6, 6, 10, 1, 9, 6, 1, 6, 10, 10, 1, 6, 6, 10, 6, 4, 6, 10, 6, 1, 1, 6, 2, 6, 6, 2, 1, 1, 10, 1, 5, 6, 6, 2, 6, 2, 10, 2, 2, 2, 2, 6, 6, 6, 1, 2, 1, 1, 10, 10, 10, 10, 1, 1, 1, 1, 6, 10, 6, 6, 10, 2, 10, 1, 10, 6, 1, 2, 6, 2, 1, 6, 2, 10, 2, 10, 1, 1, 10, 6, 1, 1, 1, 2, 2, 1, 1, 10, 6, 1, 10, 1, 6, 1, 6, 6, 1, 2, 5, 2, 10, 1, 10, 10, 10, 6, 10, 6, 1, 2, 6, 10, 1, 2, 2, 2, 1, 1, 6, 6, 1, 10, 1, 10, 10, 6, 10, 1, 10, 2, 50, 0, 6, 2, 1, 2, 2, 10, 1, 10, 6, 1, 6, 2, 6, 1, 1, 2, 2, 6, 10, 10, 1, 1, 6, 2, 2, 10, 6, 6, 6, 1, 10, 2, 2, 6, 2, 10, 1, 1, 6, 10, 6, 6, 10, 10, 1, 6, 2, 10, 6, 6, 6, 6, 6, 1, 10, 2, 4, 6, 10, 10, 6, 10, 1, 2, 10, 1, 2, 6, 1, 6, 10, 9, 1, 10, 6, 2, 10, 2, 10, 10, 6, 10, 1, 6, 10, 2, 1, 6, 6, 2, 2, 6, 2, 2, 10, 6, 6, 6, 1, 1, 2, 2, 10, 10, 6, 10, 10, 9, 2, 10, 10, 10, 6, 0, 1, 1, 1, 2, 6, 10, 10, 1, 10, 6, 10, 1, 10, 6, 6, 2, 6, 6, 2, 2, 10, 2, 2, 1, 2, 10, 10, 10, 2, 2, 6, 10, 1, 2, 6, 6, 2, 1, 1, 10, 1, 1, 1, 2, 6, 1, 1, 1, 10, 1, 10, 6, 10, 2, 2, 6, 6, 1, 10, 1, 2, 10, 10, 50, 6, 2, 2, 10, 10, 2, 6, 1, 1, 10, 1, 6, 10, 2, 10, 10, 10, 2, 2, 2, 6, 1, 10, 10, 10, 10, 6, 2, 10, 1, 10, 2, 2, 10, 1, 1, 6, 2, 1, 2, 6, 1, 6, 1, 2, 1, 1, 1, 6, 1, 1, 10, 10, 2, 10, 5, 6, 2, 10, 2, 1, 1, 2, 10, 10, 10, 2, 6, 1, 2, 6, 1, 2, 10, 6, 2, 1, 0, 1, 2, 6, 2, 6, 1, 6, 6, 10, 10, 10, 2, 6, 10, 10, 6, 10, 1, 2, 6, 2, 6, 10, 1, 10, 10, 2, 6, 2, 1, 1, 6, 1, 1, 2, 2, 1, 10, 10, 6, 1, 10, 1, 6, 2, 6, 2, 2, 6, 2, 6, 2, 1, 1, 2, 10, 6, 1, 2, 10, 2, 2, 1, 6, 10, 6, 6, 6, 2, 6, 2, 9, 9, 2, 1, 1, 1, 1, 2, 2, 2, 2, 6, 6, 2, 9, 1, 10, 6, 6, 6, 6, 1, 1, 2, 2, 10, 1, 2, 2, 5, 6, 1, 10, 10, 1, 2, 10, 6, 1, 1, 6, 1, 2, 10, 10, 6, 10, 2, 1, 5, 10, 10, 2, 6, 6, 6, 2, 2, 10, 1, 2, 10, 6, 2, 1, 6, 2, 2, 10, 10, 1, 1, 1, 10, 10, 10, 6, 10, 1, 10, 2, 1, 1, 2, 1, 1, 0, 6, 10, 1, 0, 2, 1, 10, 10, 2, 2, 2, 10, 6, 2, 2, 1, 10, 1, 6, 1, 6, 6, 1, 6, 9, 1, 1, 1, 10, 10, 10, 10, 2, 6, 2, 6, 2, 1, 6, 0, 10, 6, 2, 1, 6, 6, 2, 9, 10, 10, 1, 1, 2, 2, 1, 10, 1, 2, 2, 6, 2, 6, 9, 10, 1, 2, 10, 6, 4, 6, 6, 6, 10, 2, 10, 6, 2, 6, 10, 1, 6, 6, 6, 10, 10, 2, 10, 1, 6, 2, 6, 2, 1, 2, 2, 6, 1, 0, 6, 2, 2, 2, 1, 2, 2, 2, 10, 10, 1, 6, 2, 0, 1, 10, 2, 6, 2, 2, 1, 2, 10, 2, 10, 1, 1, 1, 2, 6, 2, 10, 2, 6, 0, 10, 10, 2, 1, 6, 1, 6, 6, 2, 6, 1, 10, 6, 6, 2, 5, 2, 6, 10, 1, 2, 6, 2, 10, 1, 2, 1, 1, 6, 1, 10, 10, 1, 10, 6, 10, 6, 6, 6, 1, 10, 6, 6, 2, 2, 10, 2, 2, 0, 6, 2, 6, 2, 10, 6, 1, 1, 6, 1, 10, 2, 1, 6, 2, 10, 0, 10, 6, 1, 1, 1, 10, 10, 1, 1, 10, 2, 1, 2, 6, 6, 6, 1, 1, 2, 10, 1, 10, 2, 1, 2, 1, 1, 6, 6, 6, 2, 2, 10, 10, 1, 10, 1, 1, 40, 1, 1, 10, 6, 10, 6, 1, 0, 1, 1, 2, 1, 2, 10, 10, 6, 1, 1, 6, 1, 6, 1, 10, 6, 1, 10, 2, 10, 1, 1, 1, 6, 6, 6, 10, 6, 2, 1, 1, 1, 6, 1, 10, 6, 6, 6, 2, 10, 2, 6, 4, 2, 2, 6, 10, 6, 1, 10, 1, 2, 1, 10, 1, 6, 1, 2, 10, 1, 50, 6, 1, 6, 1, 10, 6, 10, 1, 6, 6, 1, 6, 10, 2, 10, 1, 10, 10, 10, 10, 1, 1, 6, 9, 10, 10, 1, 1, 1, 2, 10, 1, 10, 2, 10, 2, 6, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 10, 10, 2, 2, 2, 2, 6, 2, 1, 6, 10, 10, 6, 2, 1, 10, 1, 1, 1, 6, 1, 10, 10, 10, 1, 2, 2, 1, 2, 10, 2, 10, 10, 10, 1, 1, 10, 1, 2, 1, 6, 1, 1, 1, 10, 6, 1, 6, 1, 0, 10, 1, 6, 10, 10, 6, 10, 6, 6, 2, 6, 6, 2, 1, 1, 10, 6, 10, 2, 6, 4, 10, 10, 2, 10, 1, 10, 6, 6, 10, 10, 10, 1, 6, 10, 10, 2, 10, 1, 4, 10, 2, 2, 10, 10, 6, 6, 10, 2, 10, 10, 1, 6, 2, 1, 6, 2, 1, 10, 1, 10, 2, 6, 10, 6, 2, 6, 10, 2, 2, 1, 0, 6, 6, 2, 6, 10, 1, 10, 6, 6, 2, 10, 2, 2, 4, 6, 2, 1, 5, 10, 10, 6, 0, 2, 1, 1, 1, 2, 6, 2, 10, 1, 2, 6, 6, 2, 2, 2, 10, 10, 10, 6, 40, 1, 10, 6, 10, 2, 10, 10, 1, 1, 10, 10, 1, 2, 2, 6, 6, 2, 2, 6, 6, 6, 1, 1, 6, 6, 10, 10, 2, 5, 1, 10, 6, 2, 2, 6, 10, 2, 10, 1, 6, 1, 10, 10, 2, 1, 10, 1, 2, 1, 6, 1, 6, 2, 10, 10, 2, 1, 6, 6, 10, 6, 6, 10, 6, 10, 1, 1, 2, 6, 1, 6, 6, 10, 6, 2, 2, 1, 10, 1, 1, 10, 2, 2, 2, 6, 10, 6, 1, 2, 6, 1, 6, 6, 6, 1, 1, 1, 6, 1, 1, 6, 6, 10, 2, 10, 1, 1, 2, 6, 10, 10, 1, 6, 1, 10, 2, 1, 10, 6, 1, 10, 1, 10, 6, 2, 6, 6, 2, 10, 10, 6, 6, 6, 2, 10, 6, 1, 10, 10, 10, 10, 10, 1, 2, 10, 1, 2, 10, 1, 6, 10, 1, 10, 2, 6, 2, 6, 1, 2, 2, 2, 2, 10, 2, 2, 6, 5, 6, 6, 2, 1, 10, 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1, 1, 10, 1, 10, 10, 6, 1, 6, 10, 6, 6, 6, 2, 10, 1, 6, 1, 10, 7, 1, 10, 6, 6, 10, 10, 1, 2, 2, 10, 6, 2, 10, 1, 6, 0, 10, 10, 6, 1, 1, 6, 1, 6, 2, 10, 2, 2, 2, 10, 6, 1, 6, 6, 10, 1, 1, 1, 2, 10, 2, 6, 1, 2, 2, 2, 10, 0, 10, 2, 2, 1, 1, 10, 10, 0, 2, 10, 10, 2, 1, 6, 2, 6, 6, 10, 6, 6, 6, 1, 2, 2, 1, 1, 6, 1, 10, 10, 0, 2, 1, 10, 1, 2, 1, 10, 0, 6, 2, 6, 1, 6, 6, 1, 40, 1, 6, 2, 10, 1, 10, 40, 6, 6, 6, 2, 1, 1, 2, 1, 10, 10, 4, 1, 1, 1, 6, 6, 1, 6, 6, 1, 10, 2, 1, 10, 6, 1, 5, 2, 1, 6, 9, 2, 10, 10, 6, 1, 6, 2, 10, 1, 10, 6, 1, 10, 2, 6, 1, 6, 1, 6, 1, 10, 6, 2, 6, 1, 10, 2, 6, 2, 6, 10, 2, 2, 1, 10, 6, 10, 6, 2, 6, 2, 6, 6, 6, 2, 10, 1, 6, 2, 2, 2, 2, 6, 1, 6, 6, 1, 10, 9, 1, 1, 1, 6, 10, 6, 4, 1, 6, 1, 6, 10, 2, 6, 6, 6, 6, 6, 2, 6, 9, 1, 1, 2, 10, 6, 2, 2, 6, 10, 2, 6, 1, 2, 2, 10, 6, 10, 6, 2, 1, 6, 2, 1, 2, 1, 2, 5, 2, 2, 1, 1, 1, 2, 1, 6, 10, 6, 2, 6, 10, 10, 2, 6, 2, 6, 1, 10, 6, 10, 2, 1, 1, 1, 2, 2, 10, 10, 6, 2, 6, 2, 10, 2, 2, 1, 2, 6, 10, 2, 6, 6, 1, 1, 6, 2, 1, 2, 1, 1, 2, 10, 6, 6, 1, 2, 2, 6, 6, 1, 2, 6, 6, 10, 2, 2, 1, 6, 1, 1, 2, 2, 6, 10, 10, 2, 1, 6, 10, 2, 2, 10, 5, 10, 6, 10, 10, 6, 2, 1, 1, 6, 6, 1, 1, 10, 2, 2, 2, 10, 1, 2, 6, 1, 1, 6, 6, 10, 1, 2, 6, 4, 6, 10, 6, 10, 1, 1, 6, 1, 1, 10, 6, 6, 6, 2, 6, 1, 5, 10, 2, 2, 6, 6, 10, 1, 10, 1, 2, 4, 10, 6, 6, 2, 2, 2, 10, 6, 2, 5, 1, 6, 1, 2, 2, 6, 6, 0, 10, 6, 6, 1, 6, 1, 6, 1, 10, 6, 10, 10, 4, 10, 2, 1, 10, 6, 2, 2, 10, 1, 6, 2, 6, 10, 10, 2, 2, 10, 6, 2, 1, 1, 2, 2, 10, 6, 10, 10, 10, 5, 10, 2, 1, 2, 6, 1, 2, 1, 1, 2, 6, 2, 2, 10, 10, 6, 2, 6, 10, 6, 6, 0, 10, 10, 2, 5, 6, 6, 6, 2, 1, 6, 6, 10, 2, 2, 10, 6, 2, 10, 2, 1, 6, 1, 2, 10, 6, 2, 2, 10, 2, 10, 1, 1, 6, 2, 10, 1, 6, 2, 1, 6, 6, 1, 6, 2, 9, 1, 1, 6, 10, 2, 2, 1, 6, 10, 2, 2, 1, 2, 6, 1, 2, 2, 6, 2, 5, 10, 2, 6, 1, 9, 10, 1, 4, 2, 6, 2, 10, 10, 1, 6, 2, 1, 6, 10, 1, 1, 10, 2, 2, 10, 10, 4, 10, 6, 1, 10, 1, 10, 10, 1, 6, 1, 1, 6, 6, 1, 1, 6, 1, 6, 2, 10, 6, 6, 1, 0, 2, 1, 10, 1, 2, 1, 10, 1, 6, 6, 6, 10, 1, 1, 6, 1, 2, 6, 10, 10, 5, 1, 10, 6, 10, 2, 6, 10, 10, 2, 1, 10, 6, 2, 2, 6, 6, 2, 6, 6, 10, 1, 1, 1, 6, 10, 1, 10, 10, 2, 1, 10, 2, 1, 10, 1, 5, 10, 1, 6, 4, 6, 2, 6, 2, 1, 1, 6, 1, 6, 2, 6, 1, 1, 1, 1, 2, 1, 1, 1, 10, 2, 10, 6, 2, 2, 6, 2, 10, 1, 10, 2, 6, 6, 6, 1, 6, 6, 10, 10, 4, 9, 2, 2, 10, 10, 2, 6, 6, 6, 6, 6, 7, 1, 10, 6, 1, 2, 6, 6, 10, 10, 5, 2, 10, 2, 10, 2, 6, 1, 1, 2, 6, 2, 6, 2, 6, 6, 2, 10, 10, 2, 10, 6, 1, 10, 6, 6, 2, 6, 6, 6, 10, 1, 2, 2, 2, 10, 2, 2, 10, 10, 10, 2, 10, 6, 10, 10, 2, 2, 2, 5, 2, 1, 1, 1, 6, 1, 2, 1, 10, 1, 1, 6, 1, 1, 6, 1, 6, 2, 6, 6, 10, 1, 2, 2, 2, 10, 2, 10, 1, 2, 10, 2, 1, 6, 1, 6, 1, 10, 2, 1, 1, 6, 6, 6, 6, 10, 2, 2, 10, 1, 1, 6, 1, 10, 0, 10, 1, 6, 1, 1, 2, 2, 10, 1, 2, 10, 2, 2, 1, 1, 6, 2, 6, 10, 2, 10, 1, 6, 1, 2, 1, 10, 6, 10, 10, 6, 2, 2, 10, 10, 10, 10, 1, 1, 6, 2, 1, 10, 10, 1, 10, 10, 1, 6, 10, 1, 10, 1, 10, 6, 9, 6, 10, 1, 6, 10, 1, 6, 1, 2, 6, 1, 6, 10, 4, 6, 10, 6, 2, 6, 6, 1, 6, 10, 1, 1, 2, 2, 10, 10, 6, 10, 6, 1, 10, 2, 1, 10, 6, 2, 1, 6, 6, 2, 2, 1, 2, 2, 2, 2, 6, 1, 1, 6, 6, 6, 2, 1, 1, 6, 6, 2, 6, 10, 2, 10, 6, 10, 6, 1, 6, 1, 1, 10, 6, 1, 1, 1, 2, 2, 2, 1, 6, 2, 1, 10, 2, 10, 6, 1, 1, 10, 6, 6, 10, 10, 1, 6, 6, 1, 6, 10, 1, 2, 2, 2, 6, 6, 6, 1, 6, 1, 6, 1, 2, 10, 10, 1, 6, 2, 1, 10, 1, 6, 6, 2, 6, 6, 6, 1, 2, 1, 10, 10, 10, 10, 1, 2, 2, 2, 6, 2, 2, 2, 10, 10, 1, 10, 10, 6, 1, 10, 6, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 6, 10, 6, 10, 10, 1, 1, 6, 10, 6, 7, 6, 10, 10, 2, 10, 2, 10, 2, 6, 1, 2, 2, 1, 10, 6, 1, 1, 4, 2, 6, 6, 1, 1, 1, 1, 2, 1, 10, 1, 2, 2, 6, 6, 6, 6, 5, 2, 2, 10, 2, 1, 1, 1, 1, 1, 1, 2, 2, 10, 1, 1, 1, 10, 6, 10, 1, 2, 1, 2, 1, 6, 1, 10, 10, 6, 10, 1, 6, 10, 1, 1, 1, 10, 6, 2, 2, 6, 2, 6, 6, 10, 2, 1, 1, 6, 10, 2, 1, 10, 1, 6, 6, 10, 10, 10, 2, 6, 6, 1, 1, 10, 2, 6, 2, 2, 1, 10, 6, 2, 2, 10, 1, 1, 10, 2, 6, 6, 1, 10, 1, 2, 1, 2, 2, 1, 5, 10, 1, 1, 2, 10, 6, 1, 6, 6, 10, 2, 1, 10, 6, 2, 6, 0, 6, 2, 6, 2, 6, 1, 6, 6, 2, 1, 2, 1, 10, 1, 6, 6, 1, 2, 10, 1, 6, 10, 1, 10, 1, 6, 2, 5, 6, 6, 1, 1, 10, 6, 10, 1, 1, 6, 6, 2, 10, 10, 1, 10, 1, 10, 2, 6, 6, 1, 2, 10, 2, 2, 6, 10, 1, 10, 1, 2, 10, 2, 10, 10, 1, 10, 10, 1, 2, 1, 6, 2, 2, 1, 1, 0, 6, 1, 10, 2, 1, 2, 6, 2, 6, 10, 2, 2, 10, 2, 10, 10, 1, 6, 10, 10, 1, 5, 6, 6, 2, 10, 1, 10, 2, 6, 2, 6, 6, 1, 2, 10, 2, 10, 1, 10, 1, 2, 10, 1, 6, 0, 6, 2, 10, 2, 2, 10, 2, 9, 6, 2, 6, 6, 6, 10, 1, 6, 10, 1, 10, 2, 6, 1, 2, 2, 10, 2, 10, 2, 1, 2, 10, 1, 2, 2, 1, 10, 2, 6, 6, 10, 1, 2, 2, 6, 2, 10, 2, 1, 10, 6, 6, 6, 10, 6, 1, 1, 6, 1, 10, 10, 2, 1, 1, 10, 6, 1, 6, 2, 1, 6, 6, 10, 2, 6, 10, 5, 1, 10, 2, 10, 1, 10, 1, 5, 2, 1, 4, 1, 10, 6, 6, 6, 5, 10, 1, 2, 1, 1, 10, 1, 10, 1, 10, 1, 2, 2, 10, 2, 10, 10, 10, 10, 6, 1, 10, 10, 6, 10, 10, 2, 6, 10, 2, 6, 2, 2, 2, 2, 10, 2, 6, 1, 4, 10, 6, 2, 2, 6, 10, 6, 2, 10, 2, 2, 2, 6, 1, 6, 1, 1, 9, 6, 10, 2, 10, 10, 1, 10, 6, 6, 2, 6, 2, 2, 6, 10, 1, 10, 1, 6, 2, 10, 1, 10, 1, 1, 1, 6, 6, 2, 6, 0, 10, 6, 10, 2, 2, 10, 10, 10, 6, 10, 1, 1, 2, 10, 1, 2, 10, 2, 10, 10, 10, 2, 2, 6, 2, 10, 6, 6, 2, 6, 1, 10, 6, 6, 1, 1, 6, 1, 6, 2, 1, 2, 10, 2, 0, 10, 6, 10, 2, 1, 10, 1, 6, 6, 2, 1, 2, 1, 6, 2, 1, 1, 1, 2, 6, 1, 6, 2, 1, 6, 1, 2, 6, 10, 6, 1, 10, 6, 2, 1, 10, 10, 10, 6, 2, 1, 10, 1, 6, 6, 2, 10, 10, 1, 6, 10, 2, 10, 1, 10, 10, 10, 6, 10, 2, 2, 1, 10, 2, 10, 10, 6, 1, 10, 2, 10, 2, 50, 2, 1, 1, 2, 2, 10, 2, 1, 6, 6, 6, 2, 6, 1, 2, 6, 6, 10, 2, 10, 1, 10, 2, 6, 1, 1, 2, 0, 2, 6, 6, 4, 10, 10, 6, 2, 2, 1, 6, 6, 2, 10, 1, 6, 6, 2, 10, 6, 1, 6, 6, 6, 2, 6, 10, 2, 1, 10, 2, 2, 0, 2, 2, 6, 10, 1, 2, 6, 2, 6, 10, 2, 1, 1, 2, 6, 2, 1, 10, 2, 2, 10, 6, 6, 1, 2, 2, 10, 10, 1, 9, 1, 10, 1, 10, 10, 1, 1, 1, 6, 2, 1, 2, 1, 2, 10, 1, 2, 6, 6, 2, 10, 1, 1, 1, 6, 1, 10, 2, 10, 1, 6, 1, 2, 6, 2, 6, 10, 1, 6, 1, 6, 1, 1, 1, 2, 10, 6, 6, 10, 10, 6, 6, 6, 6, 2, 10, 5, 6, 6, 2, 2, 6, 2, 10, 10, 10, 4, 1, 1, 2, 6, 10, 10, 6, 10, 6, 1, 10, 2, 1, 9, 1, 10, 10, 1, 10, 1, 10, 6, 6, 6, 10, 2, 1, 6, 2, 1, 2, 10, 10, 1, 10, 2, 10, 6, 1, 6, 1, 2, 6, 1, 1, 2, 2, 2, 6, 1, 6, 5, 6, 2, 10, 6, 10, 10, 1, 1, 6, 1, 2, 10, 6, 10, 10, 1, 9, 6, 2, 6, 10, 6, 6, 10, 2, 6, 1, 1, 6, 6, 1, 2, 2, 2, 1, 6, 10, 10, 6, 10, 2, 6, 1, 10, 1, 10, 1, 10, 10, 2, 10, 1, 1, 2, 1, 2, 1, 1, 10, 4, 10, 6, 1, 10, 2, 2, 2, 6, 6, 1, 1, 10, 2, 1, 6, 6, 2, 2, 2, 1, 1, 10, 2, 1, 6, 1, 1, 1, 1, 6, 10, 2, 6, 10, 6, 9, 6, 10, 2, 2, 2, 1, 10, 1, 10, 6, 2, 6, 1, 10, 10, 1, 6, 6, 10, 10, 6, 2, 2, 6, 2, 2, 10, 6, 2, 6, 9, 2, 2, 2, 10, 5, 6, 2, 2, 1, 6, 10, 2, 6, 1, 10, 2, 1, 2, 2, 2, 10, 6, 10, 2, 10, 1, 10, 1, 6, 2, 10, 10, 6, 1, 2, 1, 10, 1, 6, 10, 10, 1, 1, 10, 1, 6, 1, 6, 10, 10, 1, 10, 6, 10, 6, 2, 2, 6, 6, 1, 2, 1, 6, 6, 2, 10, 2, 1, 2, 10, 2, 2, 1, 2, 2, 1, 6, 2, 2, 10, 1, 6, 2, 2, 1, 2, 2, 2, 10, 2, 6, 1, 1, 10, 10, 6, 1, 1, 1, 10, 1, 6, 1, 2, 10, 10, 2, 6, 6, 6, 2, 6, 1, 6, 1, 6, 8, 10, 2, 2, 1, 10, 6, 6, 1, 1, 2, 10, 6, 1, 2, 2, 2, 10, 10, 10, 1, 10, 6, 1, 10, 6, 2, 10, 10, 6, 6, 10, 10, 6, 9, 0, 1, 1, 10, 10, 1, 10, 10, 10, 6, 6, 10, 2, 6, 2, 6, 10, 2, 6, 1, 2, 6, 1, 6, 2, 1, 10, 2, 2, 5, 2, 1, 2, 10, 10, 6, 6, 2, 2, 10, 6, 6, 1, 1, 2, 1, 10, 1, 10, 1, 2, 10, 2, 1, 6, 6, 10, 6, 1, 1, 10, 2, 10, 1, 0, 2, 1, 2, 2, 2, 6, 10, 6, 10, 2, 6, 10, 10, 5, 10, 5, 10, 6, 2, 1, 1, 6, 1, 6, 10, 2, 9, 10, 6, 6, 6, 1, 2, 10, 2, 6, 1, 2, 10, 2, 6, 6, 1, 1, 6, 10, 1, 6, 1, 1, 6, 2, 2, 2, 2, 6, 10, 10, 1, 6, 6, 6, 1, 2, 6, 10, 1, 1, 2, 6, 6, 2, 6, 2, 10, 10, 10, 1, 2, 10, 1, 1, 10, 1, 1, 10, 6, 6, 10, 10, 6, 10, 1, 6, 10, 10, 6, 10, 2, 6, 6, 6, 2, 6, 2, 1, 1, 6, 1, 10, 10, 6, 1, 1, 1, 10, 10, 10, 10, 6, 1, 10, 2, 2, 2, 1, 1, 6, 2, 6, 2, 1, 10, 1, 2, 2, 2, 1, 10, 10, 6, 2, 9, 10, 1, 2, 2, 6, 6, 10, 6, 6, 6, 10, 1, 1, 1, 2, 6, 10, 2, 2, 2, 1, 1, 6, 6, 1, 4, 1, 6, 2, 6, 6, 6, 1, 4, 6, 6, 2, 1, 6, 2, 6, 9, 10, 1, 10, 1, 6, 1, 6, 2, 6, 10, 1, 10, 10, 10, 1, 6, 10, 10, 2, 6, 10, 2, 6, 10, 6, 1, 2, 2, 10, 1, 10, 2, 10, 6, 6, 1, 10, 10, 6, 6, 10, 6, 10, 10, 2, 6, 10, 2, 2, 1, 2, 5, 6, 10, 6, 1, 2, 2, 6, 2, 1, 2, 1, 10, 6, 6, 2, 2, 1, 10, 1, 2, 6, 6, 1, 1, 6, 2, 6, 1, 6, 6, 2, 2, 2, 10, 6, 6, 1, 6, 2, 1, 10, 2, 1, 2, 1, 10, 2, 2, 2, 2, 1, 0, 6, 10, 1, 2, 2, 6, 1, 2, 2, 2, 6, 2, 2, 6, 10, 1, 6, 6, 2, 6, 2, 9, 1, 2, 1, 6, 10, 10, 2, 2, 1, 6, 6, 2, 1, 1, 10, 2, 6, 6, 10, 6, 1, 6, 6, 2, 10, 2, 1, 2, 2, 2, 1, 10, 2, 10, 1, 2, 10, 1, 10, 1, 10, 10, 10, 1, 1, 5, 1, 6, 2, 10, 10, 10, 2, 6, 6, 6, 6, 2, 2, 6, 2, 2, 1, 1, 6, 1, 1, 2, 1, 10, 2, 10, 6, 10, 2, 6, 6, 1, 6, 10, 1, 2, 1, 6, 1, 2, 9, 6, 2, 10, 10, 0, 2, 1, 1, 2, 10, 6, 9, 1, 6, 6, 10, 2, 1, 1, 6, 10, 10, 2, 2, 1, 1, 6, 10, 6, 2, 1, 1, 2, 2, 1, 2, 6, 1, 6, 6, 2, 6, 6, 10, 6, 10, 10, 6, 6, 2, 1, 1, 10, 2, 10, 2, 10, 5, 10, 6, 6, 1, 2, 6, 2, 2, 1, 6, 0, 10, 2, 6, 10, 2, 1, 6, 1, 6, 6, 2, 2, 2, 10, 10, 6, 10, 6, 1, 2, 1, 10, 6, 1, 1, 2, 2, 10, 10, 10, 1, 1, 1, 10, 2, 2, 6, 10, 1, 1, 2, 10, 2, 10, 6, 10, 10, 6, 10, 10, 6, 10, 10, 10, 10, 1, 2, 10, 10, 10, 2, 2, 6, 10, 2, 10, 6, 1, 6, 10, 6, 1, 0, 1, 1, 1, 10, 2, 6, 9, 6, 1, 6, 10, 10, 6, 2, 10, 2, 1, 6, 2, 2, 1, 10, 6, 2, 10, 1, 10, 10, 10, 10, 2, 10, 10, 6, 6, 2, 10, 10, 2, 2, 10, 0, 10, 1, 6, 10, 10, 6, 6, 2, 6, 1, 10, 6, 1, 10, 6, 10, 10, 10, 10, 2, 9, 2, 1, 10, 1, 1, 6, 6, 2, 10, 10, 10, 1, 2, 6, 6, 6, 2, 2, 6, 1, 10, 6, 6, 6, 1, 10, 10, 5, 6, 6, 10, 1, 10, 6, 10, 6, 1, 1, 10, 2, 2, 9, 1, 6, 10, 2, 2, 1, 1, 1, 1, 10, 2, 6, 10, 10, 2, 6, 1, 1, 6, 6, 6, 1, 1, 6, 10, 6, 10, 2, 6, 10, 2, 10, 5, 10, 6, 10, 10, 6, 10, 10, 6, 2, 2, 2, 2, 6, 1, 1, 6, 10, 5, 2, 1, 10, 6, 10, 10, 6, 6, 6, 10, 6, 2, 0, 2, 1, 2, 6, 2, 2, 2, 10, 2, 6, 1, 0, 2, 2, 6, 6, 10, 10, 1, 6, 1, 6, 10, 6, 1, 6, 2, 2, 10, 1, 6, 2, 10, 2, 1, 1, 6, 10, 10, 1, 1, 1, 1, 1, 1, 10, 2, 6, 10, 2, 5, 6, 1, 10, 2, 10, 10, 2, 2, 6, 6, 2, 10, 6, 1, 2, 10, 1, 2, 10, 6, 9, 6, 10, 6, 10, 1, 6, 10, 1, 10, 4, 6, 10, 6, 10, 4, 10, 6, 4, 2, 1, 6, 1, 10, 2, 2, 10, 10, 2, 6, 6, 1, 10, 1, 6, 10, 2, 2, 6, 6, 6, 1, 6, 1, 6, 2, 1, 2, 10, 2, 2, 1, 1, 10, 2, 2, 2, 6, 6, 6, 1, 2, 2, 10, 2, 2, 10, 3, 10, 6, 10, 1, 1, 10, 10, 2, 10, 6, 1, 10, 2, 1, 6, 10, 1, 2, 1, 2, 1, 1, 10, 10, 2, 10, 6, 10, 2, 2, 1, 10, 1, 1, 2, 1, 1, 2, 2, 6, 0, 2, 1, 6, 10, 2, 1, 2, 1, 10, 2, 2, 4, 10, 6, 6, 2, 1, 2, 1, 1, 6, 6, 10, 2, 1, 1, 2, 2, 10, 6, 6, 6, 2, 2, 2, 6, 1, 6, 1, 6, 1, 2, 6, 10, 10, 10, 10, 10, 2, 10, 6, 6, 10, 10, 10, 1, 6, 6, 2, 10, 10, 6, 2, 1, 6, 1, 6, 2, 6, 1, 6, 6, 2, 2, 1, 2, 1, 6, 10, 10, 10, 6, 1, 6, 1, 6, 6, 10, 10, 2, 10, 1, 2, 6, 2, 2, 6, 10, 10, 1, 1, 10, 6, 2, 1, 6, 5, 2, 2, 10, 10, 2, 1, 1, 6, 1, 10, 6, 6, 6, 2, 2, 6, 10, 2, 1, 10, 1, 1, 5, 2, 2, 2, 2, 2, 2, 6, 1, 2, 10, 6, 1, 10, 10, 2, 10, 6, 2, 5, 2, 2, 6, 2, 6, 2, 2, 6, 10, 6, 6, 6, 1, 10, 6, 6, 6, 2, 6, 2, 1, 10, 1, 2, 1, 6, 2, 1, 1, 10, 1, 10, 6, 1, 10, 10, 1, 1, 2, 2, 0, 6, 10, 1, 6, 1, 1, 1, 6, 6, 10, 2, 6, 6, 1, 6, 6, 6, 6, 2, 1, 10, 2, 2, 2, 10, 10, 10, 2, 6, 2, 10, 2, 6, 10, 6, 6, 2, 6, 6, 1, 1, 6, 6, 1, 2, 2, 6, 6, 1, 1, 10, 10, 10, 1, 1, 6, 10, 6, 1, 1, 2, 10, 2, 10, 2, 10, 10, 2, 6, 6, 6, 10, 2, 10, 1, 6, 1, 2, 2, 2, 10, 6, 1, 10, 2, 1, 0, 2, 10, 10, 1, 5, 10, 10, 1, 1, 1, 10, 2, 10, 6, 1, 10, 1, 6, 1, 1, 1, 1, 1, 2, 10, 2, 10, 2, 2, 6, 2, 1, 10, 10, 1, 2, 10, 1, 9, 2, 2, 2, 6, 6, 1, 1, 6, 2, 2, 6, 10, 2, 1, 1, 8, 6, 4, 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1, 2, 2, 2, 9, 1, 10, 2, 6, 10, 1, 2, 1, 1, 10, 2, 2, 6, 6, 6, 2, 1, 2, 2, 2, 10, 10, 6, 6, 6, 2, 10, 1, 1, 2, 6, 6, 6, 10, 6, 2, 6, 6, 10, 6, 2, 2, 1, 6, 2, 1, 6, 10, 6, 10, 1, 1, 6, 2, 1, 1, 1, 2, 4, 6, 6, 2, 1, 1, 6, 1, 10, 2, 10, 2, 6, 10, 6, 2, 1, 6, 10, 10, 6, 6, 2, 6, 2, 0, 0, 6, 10, 1, 2, 0, 1, 6, 6, 2, 6, 10, 1, 6, 1, 1, 2, 6, 1, 1, 2, 2, 10, 6, 6, 2, 6, 1, 6, 2, 1, 1, 6, 2, 2, 2, 6, 2, 1, 10, 6, 1, 2, 10, 10, 2, 6, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 10, 2, 2, 2, 2, 1, 2, 2, 2, 10, 10, 10, 10, 10, 1, 2, 6, 2, 6, 1, 6, 2, 6, 2, 6, 10, 2, 10, 10, 2, 2, 6, 2, 6, 2, 1, 6, 1, 6, 6, 1, 5, 2, 1, 2, 9, 6, 6, 2, 6, 2, 2, 10, 1, 2, 1, 2, 4, 10, 2, 1, 6, 6, 10, 1, 1, 6, 10, 6, 6, 6, 1, 1, 1, 1, 6, 2, 1, 10, 6, 1, 10, 6, 6, 6, 1, 1, 10, 2, 6, 1, 10, 6, 2, 2, 1, 10, 2, 1, 6, 6, 2, 10, 6, 10, 6, 1, 1, 10, 1, 10, 6, 6, 2, 1, 1, 6, 6, 2, 1, 2, 1, 1, 2, 6, 10, 1, 2, 6, 1, 6, 1, 10, 1, 10, 1, 10, 6, 1, 10, 1, 1, 10, 1, 6, 1, 4, 2, 6, 1, 2, 6, 6, 6, 2, 2, 1, 1, 10, 2, 6, 1, 1, 2, 1, 1, 2, 10, 1, 10, 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2, 10, 6, 2, 1, 1, 9, 6, 1, 4, 2, 1, 10, 6, 10, 2, 10, 1, 10, 10, 6, 1, 10, 10, 10, 10, 2, 6, 1, 10, 10, 1, 6, 0, 6, 1, 2, 6, 6, 1, 1, 1, 2, 1, 6, 6, 2, 2, 1, 1, 10, 10, 2, 10, 6, 2, 1, 1, 1, 6, 10, 2, 6, 2, 10, 2, 6, 10, 1, 2, 1, 6, 2, 2, 1, 10, 10, 2, 6, 10, 10, 1, 1, 1, 10, 2, 10, 10, 2, 1, 1, 10, 2, 6, 10, 6, 6, 6, 1, 10, 6, 2, 2, 1, 1, 10, 6, 2, 10, 10, 1, 2, 2, 6, 1, 10, 10, 2, 6, 6, 6, 6, 10, 2, 2, 2, 10, 1, 10, 6, 6, 2, 10, 2, 6, 1, 6, 0, 2, 10, 6, 10, 10, 10, 2, 2, 6, 2, 2, 10, 2, 1, 2, 2, 2, 2, 1, 10, 1, 10, 2, 2, 10, 10, 6, 6, 1, 1, 1, 2, 1, 2, 6, 1, 7, 1, 10, 10, 1, 10, 10, 10, 2, 10, 6, 6, 1, 6, 2, 10, 1, 10, 1, 9, 6, 10, 6, 10, 1, 10, 6, 6, 1, 1, 2, 5, 1, 4, 10, 1, 2, 2, 2, 1, 6, 6, 10, 10, 10, 10, 2, 10, 6, 1, 10, 2, 2, 6, 10, 2, 6, 6, 6, 6, 1, 2, 10, 2, 10, 1, 2, 1, 10, 6, 2, 6, 1, 0, 6, 6, 1, 1, 2, 1, 2, 1, 1, 1, 10, 2, 0, 10, 10, 6, 1, 1, 1, 1, 2, 6, 2, 2, 10, 6, 10, 6, 2, 6, 1, 1, 10, 1, 10, 1, 6, 10, 1, 6, 10, 1, 6, 5, 6, 2, 1, 10, 1, 2, 1, 6, 1, 1, 10, 1, 7, 10, 2, 2, 2, 2, 1, 6, 10, 6, 6, 6, 6, 10, 10, 6, 1, 10, 10, 10, 10, 6, 10, 2, 6, 6, 5, 1, 10, 10, 6, 10, 2, 10, 2, 10, 2, 2, 6, 2, 1, 1, 6, 6, 6, 6, 6, 2, 10, 2, 10, 10, 6, 10, 10, 1, 10, 6, 1, 10, 6, 1, 10, 6, 6, 60, 6, 6, 2, 2, 10, 1, 2, 1, 6, 10, 2, 1, 2, 10, 2, 2, 2, 2, 4, 6, 6, 6, 6, 6, 2, 1, 6, 10, 6, 10, 1, 6, 6, 2, 2, 1, 2, 10, 2, 1, 10, 6, 10, 1, 2, 2, 2, 6, 2, 6, 9, 6, 2, 6, 6, 6, 2, 10, 1, 1, 10, 6, 1, 10, 2, 1, 6, 6, 10, 10, 2, 10, 1, 10, 2, 6, 2, 9, 1, 6, 1, 10, 1, 1, 1, 6, 1, 1, 2, 2, 1, 2, 6, 5, 1, 10, 6, 1, 2, 6, 6, 6, 6, 2, 2, 10, 1, 10, 6, 2, 2, 10, 10, 6, 6, 6, 6, 6, 1, 6, 10, 10, 1, 6, 2, 2, 2, 10, 2, 10, 6, 6, 10, 2, 2, 1, 2, 2, 1, 10, 6, 10, 1, 2, 6, 2, 10, 10, 1, 1, 10, 6, 6, 1, 1, 2, 2, 1, 10, 1, 1, 10, 10, 1, 10, 2, 10, 2, 6, 6, 2, 6, 10, 10, 2, 1, 2, 10, 1, 2, 1, 6, 2, 2, 2, 6, 6, 1, 6, 10, 2, 6, 1, 10, 10, 10, 1, 9, 10, 1, 1, 2, 10, 6, 1, 2, 2, 6, 10, 2, 6, 10, 6, 2, 2, 1, 2, 1, 10, 6, 1, 1, 6, 1, 10, 10, 1, 10, 6, 1, 5, 10, 6, 6, 1, 10, 1, 6, 2, 5, 2, 2, 10, 10, 6, 1, 1, 6, 1, 2, 1, 1, 10, 6, 2, 2, 6, 6, 2, 6, 10, 2, 2, 10, 10, 1, 1, 6, 1, 10, 10, 5, 1, 10, 1, 2, 1, 6, 1, 6, 6, 10, 2, 10, 6, 1, 10, 2, 6, 1, 10, 1, 10, 1, 1, 1, 10, 10, 10, 10, 1, 5, 2, 6, 6, 5, 2, 2, 2, 1, 6, 10, 6, 10, 10, 10, 6, 6, 10, 1, 1, 10, 6, 2, 1, 1, 6, 1, 6, 10, 10, 10, 10, 2, 6, 6, 1, 2, 6, 10, 1, 9, 6, 6, 6, 2, 2, 1, 1, 10, 2, 10, 2, 2, 0, 10, 2, 4, 10, 2, 5, 1, 2, 2, 2, 10, 1, 1, 10, 2, 1, 10, 10, 2, 10, 1, 2, 6, 6, 6, 10, 10, 10, 6, 10, 2, 6, 10, 1, 6, 2, 1, 10, 6, 1, 1, 2, 10, 1, 1, 6, 1, 6, 6, 1, 10, 10, 10, 6, 10, 10, 2, 10, 10, 10, 6, 6, 6, 10, 6, 2, 2, 4, 10, 6, 1, 10, 2, 2, 10, 6, 6, 10, 1, 6, 1, 1, 2, 6, 6, 10, 2, 10, 2, 1, 2, 2, 2, 1, 6, 1, 6, 2, 2, 6, 10, 1, 4, 10, 10, 2, 1, 6, 10, 6, 1, 2, 6, 6, 2, 6, 2, 10, 2, 2, 10, 2, 1, 1, 2, 2, 2, 1, 6, 6, 2, 10, 10, 1, 10, 1, 10, 2, 2, 6, 0, 10, 1, 10, 1, 1, 2, 1, 2, 6, 10, 10, 1, 1, 2, 6, 10, 5, 10, 2, 2, 10, 2, 1, 2, 1, 1, 2, 2, 10, 6, 6, 10, 6, 10, 10, 1, 6, 2, 1, 1, 1, 1, 1, 10, 2, 1, 2, 10, 10, 8, 6, 1, 10, 2, 2, 10, 6, 1, 2, 6, 2, 6, 6, 6, 10, 4, 10, 2, 1, 6, 2, 2, 10, 1, 6, 5, 1, 10, 2, 2, 6, 1, 2, 2, 6, 10, 2, 6, 2, 6, 1, 6, 6, 2, 1, 6, 0, 2, 2, 2, 10, 1, 6, 6, 10, 6, 6, 2, 6, 6, 6, 10, 2, 2, 10, 1, 10, 1, 6, 2, 6, 1, 10, 10, 2, 10, 1, 2, 6, 1, 1, 6, 2, 6, 6, 6, 10, 6, 10, 0, 1, 1, 6, 2, 2, 1, 2, 1, 1, 6, 2, 10, 1, 10, 1, 2, 2, 2, 1, 2, 2, 6, 10, 6, 2, 6, 2, 1, 6, 10, 6, 5, 10, 10, 2, 2, 1, 1, 2, 6, 1, 6, 2, 1, 6, 2, 1, 10, 6, 6, 10, 2, 10, 6, 6, 2, 2, 6, 10, 10, 10, 10, 6, 6, 1, 10, 2, 6, 1, 1, 2, 2, 10, 2, 10, 1, 1, 1, 2, 1, 0, 10, 2, 2, 1, 9, 10, 2, 10, 2, 2, 10, 2, 1, 2, 10, 6, 1, 6, 1, 2, 6, 10, 1, 1, 10, 6, 1, 10, 6, 2, 10, 2, 10, 1, 1, 2, 10, 10, 10, 1, 2, 6, 5, 1, 10, 1, 1, 6, 10, 2, 6, 4, 2, 2, 1, 10, 10, 1, 1, 10, 10, 2, 1, 10, 10, 1, 2, 6, 10, 1, 6, 1, 1, 2, 6, 6, 10, 1, 1, 2, 10, 1, 6, 6, 1, 1, 6, 1, 6, 1, 2, 2, 1, 1, 6, 5, 9, 10, 10, 6, 2, 2, 6, 0, 1, 1, 2, 6, 6, 1, 10, 1, 6, 10, 1, 1, 6, 6, 6, 10, 10, 10, 1, 1, 5, 2, 2, 6, 10, 1, 10, 1, 2, 4, 4, 1, 1, 2, 1, 1, 6, 10, 1, 1, 1, 6, 6, 5, 6, 2, 1, 10, 6, 10, 10, 6, 4, 2, 1, 10, 6, 10, 10, 2, 10, 10, 6, 2, 10, 2, 6, 1, 2, 10, 1, 1, 4, 2, 10, 0, 6, 1, 1, 6, 1, 2, 6, 1, 10, 1, 6, 10, 1, 2, 10, 2, 2, 6, 6, 1, 10, 4, 6, 10, 6, 1, 6, 10, 6, 1, 2, 10, 4, 10, 2, 0, 1, 2, 6, 2, 6, 10, 6, 6, 2, 10, 1, 9, 2, 1, 2, 10, 6, 6, 2, 6, 10, 10, 2, 6, 1, 10, 2, 2, 6, 10, 10, 1, 10, 2, 6, 1, 10, 1, 2, 10, 6, 10, 10, 10, 2, 10, 1, 6, 9, 1, 6, 2, 9, 1, 10, 2, 1, 10, 2, 2, 1, 10, 6, 1, 1, 10, 6, 10, 4, 1, 2, 6, 6, 2, 1, 1, 6, 10, 1, 5, 2, 6, 2, 1, 6, 2, 2, 2, 1, 2, 9, 2, 10, 0, 1, 2, 2, 1, 2, 6, 6, 10, 2, 1, 10, 6, 10, 2, 6, 6, 1, 6, 1, 10, 10, 10, 2, 10, 6, 6, 1, 1, 6, 10, 6, 10, 10, 2, 6, 6, 6, 2, 2, 1, 6, 1, 2, 2, 1, 2, 2, 6, 2, 1, 6, 1, 1, 10, 2, 1, 6, 6, 6, 2, 1, 2, 6, 2, 10, 0, 1, 10, 2, 2, 10, 1, 6, 2, 6, 6, 2, 1, 1, 2, 10, 2, 6, 10, 2, 2, 1, 1, 10, 10, 6, 10, 10, 2, 1, 2, 1, 2, 1, 6, 6, 6, 2, 1, 6, 2, 2, 10, 10, 10, 6, 1, 2, 0, 10, 2, 1, 2, 10, 6, 6, 6, 6, 2, 2, 6, 10, 2, 6, 6, 2, 6, 10, 6, 6, 1, 10, 6, 1, 6, 6, 6, 6, 2, 10, 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6, 9, 1, 10, 1, 1, 6, 6, 2, 2, 10, 6, 10, 1, 10, 10, 2, 6, 2, 1, 1, 10, 10, 1, 1, 6, 2, 2, 2, 10, 2, 2, 6, 2, 2, 10, 2, 2, 10, 6, 10, 1, 1, 2, 1, 2, 10, 10, 1, 6, 2, 10, 1, 6, 1, 6, 10, 1, 1, 6, 1, 10, 1, 6, 1, 6, 1, 10, 10, 2, 10, 2, 6, 2, 6, 6, 2, 6, 6, 10, 10, 6, 1, 1, 10, 10, 6, 10, 6, 10, 1, 6, 2, 1, 1, 6, 6, 6, 1, 6, 1, 1, 6, 1, 1, 10, 2, 6, 2, 10, 1, 6, 10, 1, 6, 2, 6, 6, 1, 6, 2, 6, 10, 2, 2, 6, 10, 1, 1, 10, 1, 2, 6, 2, 6, 6, 5, 6, 6, 6, 10, 10, 2, 2, 10, 2, 6, 1, 10, 6, 1, 1, 2, 10, 10, 10, 1, 2, 10, 10, 2, 1, 6, 6, 6, 2, 10, 10, 10, 2, 6, 1, 10, 2, 6, 10, 10, 6, 10, 10, 1, 2, 2, 1, 6, 10, 6, 1, 1, 6, 2, 6, 6, 10, 1, 2, 2, 6, 10, 1, 6, 6, 2, 6, 2, 1, 2, 2, 2, 1, 1, 4, 1, 2, 10, 6, 6, 2, 10, 1, 2, 6, 0, 6, 1, 2, 1, 1, 1, 2, 2, 10, 10, 1, 1, 6, 1, 6, 10, 6, 2, 1, 1, 2, 9, 10, 6, 10, 2, 10, 1, 1, 6, 2, 1, 2, 10, 2, 6, 1, 10, 2, 10, 2, 1, 6, 6, 1, 2, 10, 1, 10, 6, 6, 6, 10, 6, 6, 2, 6, 1, 1, 6, 6, 1, 2, 2, 10, 6, 6, 2, 1, 6, 6, 0, 10, 6, 10, 2, 10, 6, 1, 1, 1, 6, 6, 6, 1, 1, 2, 10, 1, 1, 1, 2, 2, 6, 6, 6, 1, 6, 2, 2, 1, 6, 1, 6, 6, 10, 2, 5, 1, 10, 2, 2, 1, 2, 10, 6, 2, 10, 10, 10, 10, 4, 6, 10, 2, 2, 6, 1, 2, 6, 5, 6, 6, 6, 10, 1, 2, 10, 6, 6, 1, 2, 10, 10, 2, 1, 1, 2, 6, 2, 6, 6, 10, 6, 6, 10, 10, 6, 1, 6, 10, 3, 10, 2, 10, 1, 10, 6, 10, 2, 2, 6, 6, 1, 1, 10, 2, 2, 2, 10, 6, 1, 10, 6, 1, 9, 6, 10, 2, 6, 6, 6, 8, 2, 2, 10, 1, 10, 2, 1, 2, 1, 1, 6, 6, 10, 1, 10, 10, 2, 1, 10, 10, 1, 2, 1, 6, 2, 1, 1, 1, 6, 1, 1, 2, 6, 6, 1, 1, 6, 10, 1, 2, 10, 1, 50, 1, 10, 4, 2, 1, 1, 1, 2, 6, 2, 4, 6, 6, 10, 10, 10, 1, 2, 10, 10, 10, 5, 2, 6, 6, 10, 6, 1, 6, 2, 10, 10, 6, 2, 1, 5, 1, 6, 2, 10, 1, 10, 1, 10, 6, 2, 2, 1, 10, 6, 6, 1, 10, 6, 2, 1, 10, 2, 2, 1, 2, 10, 1, 1, 10, 2, 2, 2, 4, 1, 2, 2, 1, 2, 1, 1, 1, 10, 2, 10, 6, 4, 6, 2, 2, 6, 10, 10, 1, 1, 1, 2, 2, 2, 1, 10, 10, 2, 10, 10, 4, 6, 6, 6, 10, 2, 6, 2, 10, 10, 2, 1, 6, 6, 6, 1, 6, 1, 1, 10, 10, 6, 6, 2, 1, 1, 6, 6, 10, 6, 2, 2, 10, 6, 6, 2, 4, 6, 2, 10, 2, 10, 6, 10, 1, 1, 2, 1, 2, 6, 6, 2, 2, 1, 1, 2, 4, 1, 1, 1, 2, 10, 3, 10, 6, 6, 10, 4, 2, 10, 6, 6, 1, 2, 10, 2, 10, 6, 6, 1, 6, 10, 6, 10, 2, 6, 6, 2, 2, 2, 2, 10, 2, 6, 10, 6, 2, 2, 6, 6, 6, 1, 2, 1, 2, 6, 6, 10, 10, 5, 10, 10, 1, 2, 6, 1, 10, 1, 1, 1, 2, 6, 10, 6, 10, 1, 6, 6, 6, 1, 9, 2, 10, 1, 1, 6, 10, 2, 1, 2, 6, 1, 10, 1, 10, 1, 6, 10, 6, 1, 10, 6, 6, 6, 6, 1, 10, 2, 10, 10, 10, 10, 1, 10, 9, 2, 10, 1, 1, 6, 2, 1, 6, 1, 2, 10, 6, 10, 9, 6, 2, 2, 5, 2, 1, 1, 2, 6, 1, 2, 10, 1, 2, 2, 10, 2, 10, 2, 6, 2, 6, 2, 2, 10, 8, 80, 10, 1, 0, 2, 1, 6, 2, 10, 2, 6, 10, 6, 6, 6, 1, 1, 10, 6, 1, 2, 2, 1, 10, 1, 1, 2, 2, 10, 1, 1, 1, 6, 2, 5, 1, 2, 1, 0, 6, 5, 2, 10, 6, 6, 2, 6, 2, 1, 2, 2, 2, 2, 6, 10, 1, 1, 1, 2, 0, 6, 1, 2, 1, 1, 2, 2, 10, 1, 10, 10, 2, 6, 1, 1, 6, 10, 1, 2, 2, 6, 6, 1, 1, 2, 10, 2, 10, 2, 10, 0, 1, 1, 1, 1, 1, 10, 1, 2, 1, 1, 1, 6, 10, 10, 2, 10, 0, 1, 1, 10, 1, 6, 10, 10, 10, 10, 2, 6, 2, 2, 1, 6, 2, 6, 1, 10, 1, 1, 6, 6, 2, 5, 10, 10, 10, 10, 10, 1, 6, 10, 10, 10, 6, 6, 10, 2, 10, 6, 2, 1, 6, 1, 10, 6, 10, 10, 1, 6, 2, 2, 2, 10, 2, 1, 1, 10, 6, 6, 10, 1, 2, 2, 6, 1, 2, 10, 1, 2, 1, 2, 6, 10, 2, 10, 2, 1, 2, 2, 2, 2, 6, 2, 1, 2, 2, 6, 2, 2, 1, 2, 10, 2, 10, 6, 6, 2, 1, 6, 6, 2, 1, 10, 10, 10, 1, 2, 4, 10, 2, 1, 2, 10, 6, 10, 2, 6, 9, 2, 6, 6, 10, 1, 6, 1, 1, 10, 1, 2, 1, 10, 2, 1, 2, 6, 2, 2, 1, 10, 2, 2, 6, 1, 10, 2, 6, 1, 6, 1, 10, 1, 0, 5, 2, 6, 6, 2, 1, 6, 10, 1, 2, 5, 2, 2, 10, 6, 5, 1, 10, 1, 10, 7, 2, 1, 6, 2, 6, 10, 2, 1, 6, 10, 10, 1, 2, 2, 10, 2, 2, 6, 1, 2, 6, 1, 10, 6, 6, 2, 10, 2, 2, 6, 2, 10, 10, 10, 1, 6, 10, 2, 10, 5, 10, 6, 2, 2, 10, 10, 2, 2, 10, 4, 6, 6, 1, 10, 2, 6, 6, 6, 2, 2, 1, 1, 6, 1, 1, 10, 2, 10, 10, 1, 1, 1, 5, 10, 6, 6, 10, 6, 1, 6, 6, 2, 6, 1, 6, 1, 10, 2, 1, 6, 6, 10, 10, 1, 1, 10, 10, 1, 2, 6, 10, 1, 6, 6, 10, 10, 1, 1, 1, 10, 6, 2, 1, 1, 10, 6, 6, 10, 6, 1, 6, 2, 6, 1, 6, 2, 6, 6, 1, 2, 2, 1, 2, 1, 10, 10, 1, 6, 10, 2, 1, 2, 2, 10, 1, 10, 1, 1, 10, 6, 2, 1, 1, 2, 1, 1, 2, 10, 1, 6, 10, 1, 2, 2, 1, 10, 10, 1, 1, 5, 2, 6, 2, 1, 10, 2, 6, 10, 6, 2, 6, 2, 10, 2, 10, 2, 1, 1, 6, 2, 6, 6, 10, 6, 2, 1, 2, 10, 10, 1, 10, 1, 10, 2, 1, 10, 10, 2, 2, 2, 10, 6, 1, 6, 10, 5, 10, 10, 2, 6, 6, 1, 2, 2, 2, 10, 2, 1, 2, 1, 10, 2, 10, 10, 10, 1, 0, 10, 6, 2, 2, 2, 2, 5, 2, 10, 10, 10, 1, 2, 10, 6, 2, 6, 6, 10, 6, 1, 1, 6, 2, 2, 2, 2, 1, 2, 4, 2, 1, 10, 10, 10, 1, 10, 6, 6, 10, 10, 2, 1, 6, 1, 6, 2, 2, 6, 1, 5, 1, 1, 0, 1, 10, 10, 2, 1, 9, 10, 2, 6, 6, 6, 2, 6, 10, 6, 2, 2, 10, 2, 6, 1, 1, 10, 1, 1, 10, 6, 10, 10, 6, 10, 2, 10, 1, 2, 10, 1, 10, 10, 6, 2, 1, 2, 1, 10, 6, 2, 10, 2, 2, 0, 2, 1, 6, 6, 1, 1, 10, 1, 2, 10, 2, 6, 2, 2, 2, 1, 10, 10, 0, 2, 6, 2, 2, 6, 10, 1, 10, 6, 6, 10, 6, 10, 2, 6, 10, 10, 0, 10, 2, 6, 2, 6, 2, 2, 6, 10, 2, 6, 2, 2, 10, 10, 10, 9, 4, 10, 6, 6, 6, 6, 2, 10, 6, 10, 10, 10, 1, 1, 10, 2, 2, 2, 6, 2, 10, 10, 2, 1, 6, 10, 1, 6, 6, 2, 2, 6, 2, 5, 10, 1, 6, 1, 10, 10, 1, 10, 10, 10, 6, 6, 10, 2, 1, 10, 10, 6, 2, 10, 6, 1, 1, 10, 1, 2, 10, 1, 2, 10, 10, 6, 6, 1, 10, 2, 10, 40, 2, 1, 1, 10, 1, 2, 40, 10, 10, 1, 1, 1, 1, 6, 2, 1, 6, 1, 10, 10, 1, 2, 6, 6, 1, 1, 6, 1, 10, 2, 10, 1, 10, 6, 2, 2, 6, 1, 10, 2, 6, 6, 10, 1, 6, 1, 2, 10, 2, 1, 10, 6, 2, 10, 6, 6, 10, 1, 2, 1, 6, 6, 6, 1, 10, 10, 6, 2, 1, 2, 1, 6, 2, 2, 1, 1, 6, 6, 1, 10, 6, 1, 2, 6, 2, 2, 6, 4, 1, 1, 1, 1, 1, 2, 2, 6, 10, 6, 2, 6, 10, 6, 1, 1, 2, 2, 10, 6, 2, 5, 5, 1, 1, 6, 0, 1, 10, 1, 10, 2, 6, 6, 1, 2, 2, 1, 1, 6, 10, 2, 2, 6, 2, 10, 10, 1, 2, 2, 6, 10, 10, 10, 1, 6, 6, 10, 10, 2, 1, 1, 10, 6, 2, 6, 1, 10, 10, 2, 1, 9, 2, 1, 1, 6, 10, 2, 6, 10, 4, 10, 1, 1, 9, 1, 6, 6, 2, 6, 6, 10, 6, 10, 1, 10, 10, 2, 6, 6, 6, 10, 6, 2, 1, 10, 10, 10, 6, 1, 10, 1, 10, 1, 10, 6, 6, 6, 6, 2, 6, 10, 2, 10, 10, 10, 1, 10, 10, 10, 1, 10, 6, 6, 6, 2, 10, 2, 2, 10, 1, 6, 10, 2, 6, 0, 10, 2, 6, 6, 1, 2, 2, 6, 6, 10, 10, 2, 2, 4, 6, 2, 10, 10, 10, 10, 2, 10, 10, 1, 2, 6, 1, 1, 1, 10, 6, 10, 2, 6, 1, 6, 2, 10, 0, 8, 6, 9, 6, 2, 2, 2, 2, 1, 6, 10, 6, 1, 1, 10, 10, 10, 6, 10, 10, 6, 6, 2, 1, 6, 1, 10, 10, 2, 6, 9, 6, 1, 10, 1, 6, 1, 1, 6, 6, 2, 2, 2, 2, 6, 6, 2, 2, 6, 10, 6, 1, 2, 2, 10, 10, 10, 2, 1, 1, 1, 6, 1, 4, 1, 1, 2, 0, 1, 2, 6, 1, 10, 10, 6, 2, 2, 2, 1, 10, 2, 9, 1, 6, 10, 1, 10, 1, 6, 1, 1, 10, 6, 2, 6, 6, 1, 1, 10, 6, 2, 6, 2, 1, 5, 1, 10, 1, 2, 1, 2, 2, 10, 2, 2, 6, 2, 2, 10, 10, 1, 6, 6, 2, 2, 2, 2, 10, 2, 6, 10, 2, 2, 1, 10, 2, 6, 6, 1, 2, 6, 2, 1, 6, 1, 6, 10, 2, 6, 6, 6, 6, 6, 1, 1, 10, 10, 6, 1, 10, 2, 10, 2, 6, 10, 1, 6, 1, 2, 2, 2, 10, 10, 10, 6, 1, 10, 2, 1, 10, 10, 1, 6, 6, 2, 1, 6, 2, 6, 1, 10, 10, 6, 6, 6, 6, 10, 6, 6, 2, 6, 10, 10, 6, 2, 2, 2, 2, 6, 1, 2, 6, 6, 6, 9, 6, 10, 6, 10, 2, 1, 6, 2, 1, 1, 6, 6, 6, 1, 10, 10, 10, 6, 6, 2, 6, 1, 2, 10, 1, 10, 6, 2, 2, 2, 6, 2, 10, 6, 1, 2, 1, 6, 2, 6, 2, 10, 1, 2, 1, 2, 10, 2, 2, 1, 1, 6, 2, 1, 10, 1, 10, 10, 10, 6, 10, 4, 6, 10, 10, 10, 1, 10, 2, 6, 1, 10, 6, 2, 10, 10, 0, 2, 2, 6, 10, 10, 10, 10, 10, 1, 1, 10, 2, 1, 1, 10, 10, 10, 1, 1, 1, 2, 6, 10, 6, 2, 10, 6, 1, 4, 2, 2, 10, 2, 6, 6, 10, 2, 2, 6, 6, 10, 6, 10, 6, 1, 10, 6, 6, 6, 10, 1, 6, 2, 6, 6, 10, 1, 1, 10, 1, 6, 10, 1, 2, 6, 1, 6, 10, 2, 2, 10, 6, 6, 2, 6, 2, 1, 2, 2, 10, 2, 10, 1, 2, 4, 1, 10, 1, 1, 2, 1, 1, 1, 10, 1, 10, 2, 2, 10, 1, 2, 1, 10, 1, 6, 2, 40, 1, 6, 10, 1, 2, 1, 1, 10, 10, 1, 2, 2, 1, 6, 1, 2, 6, 1, 1, 10, 1, 2, 2, 2, 2, 6, 10, 6, 10, 10, 2, 6, 10, 9, 10, 2, 1, 1, 6, 6, 1, 10, 6, 6, 6, 2, 1, 1, 1, 2, 2, 1, 2, 6, 6, 1, 10, 1, 6, 10, 2, 0, 6, 10, 10, 2, 6, 1, 4, 10, 10, 2, 2, 10, 2, 2, 10, 1, 2, 10, 1, 2, 4, 2, 1, 6, 6, 2, 1, 6, 1, 6, 1, 2, 1, 2, 10, 10, 2, 2, 6, 1, 2, 1, 2, 10, 10, 2, 2, 1, 6, 10, 6, 6, 10, 2, 10, 10, 10, 1, 9, 1, 2, 1, 2, 2, 6, 10, 10, 1, 10, 2, 2, 2, 1, 6, 10, 2, 6, 6, 1, 10, 2, 1, 1, 10, 2, 1, 6, 10, 2, 6, 0, 1, 1, 2, 6, 2, 1, 6, 2, 1, 2, 6, 10, 2, 6, 6, 6, 6, 10, 6, 2, 1, 6, 6, 6, 2, 2, 10, 10, 2, 6, 10, 2, 1, 1, 2, 1, 6, 10, 2, 10, 1, 10, 6, 1, 6, 10, 1, 2, 1, 2, 6, 1, 10, 2, 10, 10, 10, 10, 2, 10, 10, 1, 1, 10, 6, 6, 10, 2, 6, 10, 6, 2, 1, 2, 10, 6, 6, 2, 2, 6, 9, 2, 10, 6, 10, 1, 10, 1, 6, 6, 10, 10, 6, 1, 2, 1, 1, 1, 6, 6, 6, 2, 1, 1, 10, 1, 10, 1, 6, 1, 1, 1, 1, 2, 6, 1, 10, 10, 6, 1, 6, 1, 1, 2, 1, 10, 6, 2, 10, 1, 5, 2, 1, 10, 1, 2, 6, 2, 6, 2, 10, 2, 10, 6, 10, 10, 6, 6, 6, 1, 1, 6, 2, 10, 10, 1, 10, 10, 1, 6, 10, 2, 9, 1, 10, 1, 2, 10, 2, 2, 1, 1, 2, 1, 1, 6, 2, 6, 10, 2, 6, 1, 6, 1, 1, 1, 6, 6, 6, 6, 5, 8, 1, 2, 1, 2, 10, 10, 6, 10, 2, 2, 10, 10, 2, 1, 1, 10, 1, 10, 1, 6, 2, 1, 6, 6, 6, 2, 5, 10, 6, 10, 6, 1, 6, 5, 6, 6, 2, 2, 10, 1, 4, 10, 2, 1, 6, 2, 1, 10, 1, 6, 1, 10, 2, 10, 10, 1, 1, 2, 10, 1, 6, 10, 6, 1, 10, 10, 1, 2, 6, 10, 2, 1, 2, 6, 6, 2, 10, 10, 10, 1, 6, 1, 6, 10, 6, 2, 10, 10, 10, 10, 2, 2, 2, 6, 10, 6, 6, 1, 2, 6, 10, 1, 2, 10, 10, 6, 6, 6, 1, 10, 1, 2, 1, 10, 6, 6, 10, 2, 1, 10, 2, 6, 2, 1, 6, 10, 6, 10, 6, 2, 2, 6, 6, 6, 1, 2, 10, 2, 10, 10, 10, 10, 6, 2, 2, 2, 1, 10, 1, 6, 0, 6, 2, 1, 1, 10, 6, 2, 2, 10, 2, 10, 10, 6, 2, 2, 2, 1, 1, 10, 2, 4, 6, 10, 2, 6, 10, 6, 6, 2, 2, 1, 6, 1, 1, 2, 1, 1, 10, 1, 2, 6, 6, 2, 2, 0, 2, 1, 6, 2, 1, 1, 10, 10, 1, 2, 1, 2, 1, 6, 10, 10, 2, 10, 10, 10, 1, 10, 2, 1, 10, 2, 6, 10, 10, 1, 6, 10, 10, 10, 10, 2, 1, 10, 10, 10, 10, 10, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 1, 10, 6, 2, 6, 6, 6, 10, 6, 10, 4, 6, 6, 6, 1, 10, 1, 6, 1, 2, 1, 6, 1, 10, 6, 10, 1, 10, 1, 1, 6, 10, 2, 6, 6, 6, 1, 1, 10, 2, 6, 1, 2, 10, 6, 10, 2, 6, 1, 1, 2, 5, 6, 1, 10, 6, 1, 1, 2, 2, 10, 10, 1, 1, 2, 2, 2, 1, 1, 2, 6, 10, 2, 2, 2, 10, 10, 1, 1, 1, 1, 1, 2, 10, 10, 6, 6, 10, 1, 10, 6, 10, 10, 4, 10, 2, 1, 1, 6, 2, 1, 2, 10, 4, 1, 2, 6, 1, 1, 2, 10, 1, 6, 10, 10, 1, 9, 6, 6, 6, 10, 10, 1, 6, 10, 1, 2, 2, 6, 10, 10, 1, 1, 6, 2, 6, 10, 10, 1, 1, 2, 1, 10, 10, 6, 2, 2, 10, 1, 1, 10, 1, 10, 6, 6, 10, 6, 4, 4, 6, 2, 1, 10, 10, 1, 2, 1, 2, 2, 6, 6, 6, 1, 1, 10, 10, 6, 1, 10, 6, 10, 1, 1, 2, 1, 2, 1, 10, 1, 6, 1, 6, 1, 6, 1, 2, 1, 1, 6, 6, 1, 4, 10, 1, 6, 2, 10, 2, 10, 6, 1, 10, 10, 4, 2, 1, 10, 1, 4, 2, 2, 2, 2, 1, 1, 6, 10, 6, 10, 6, 0, 6, 1, 10, 10, 10, 6, 2, 2, 1, 1, 1, 2, 2, 10, 2, 2, 10, 10, 2, 6, 1, 2, 2, 6, 2, 2, 10, 2, 6, 6, 1, 2, 2, 10, 6, 1, 10, 6, 10, 10, 1, 2, 1, 9, 6, 0, 9, 6, 10, 2, 10, 1, 2, 2, 6, 2, 6, 6, 2, 1, 2, 1, 10, 6, 1, 6, 10, 1, 10, 1, 9, 2, 6, 2, 1, 1, 1, 1, 6, 1, 2, 2, 1, 10, 6, 2, 10, 10, 2, 2, 10, 1, 10, 2, 6, 1, 1, 2, 6, 6, 1, 10, 1, 6, 6, 10, 1, 6, 2, 10, 2, 2, 1, 6, 1, 6, 1, 2, 5, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 10, 6, 10, 1, 10, 10, 6, 1, 5, 2, 6, 6, 6, 2, 2, 2, 1, 1, 6, 2, 9, 2, 2, 2, 10, 2, 1, 1, 2, 6, 1, 2, 1, 10, 2, 1, 10, 6, 6, 10, 6, 1, 10, 2, 2, 10, 1, 10, 1, 10, 1, 2, 6, 2, 1, 1, 1, 2, 10, 10, 10, 6, 1, 10, 6, 6, 10, 1, 9, 6, 1, 2, 10, 6, 40, 6, 6, 2, 2, 1, 6, 10, 1, 2, 6, 10, 6, 6, 6, 1, 6, 10, 2, 10, 1, 6, 1, 1, 1, 2, 2, 2, 2, 1, 2, 6, 10, 1, 2, 2, 6, 10, 5, 1, 1, 1, 10, 10, 6, 10, 1, 10, 2, 6, 10, 3, 2, 2, 2, 2, 6, 1, 6, 4, 2, 10, 10, 10, 6, 2, 6, 6, 10, 1, 2, 1, 2, 10, 2, 10, 1, 6, 1, 10, 1, 10, 6, 10, 6, 1, 10, 1, 2, 10, 10, 2, 1, 6, 10, 2, 1, 1, 2, 2, 10, 2, 1, 1, 2, 2, 1, 6, 10, 10, 1, 2, 1, 1, 2, 1, 10, 2, 1, 10, 1, 2, 2, 1, 2, 10, 1, 10, 2, 1, 2, 2, 1, 1, 6, 6, 2, 1, 10, 10, 10, 1, 6, 2, 1, 10, 6, 6, 1, 10, 9, 2, 1, 10, 1, 2, 6, 6, 6, 1, 1, 6, 6, 1, 10, 10, 10, 1, 10, 1, 9, 6, 2, 10, 2, 2, 2, 2, 1, 2, 1, 10, 10, 2, 1, 2, 6, 4, 10, 1, 2, 6, 10, 2, 10, 1, 2, 6, 6, 0, 2, 1, 2, 1, 6, 10, 1, 1, 1, 10, 6, 10, 10, 10, 6, 6, 6, 2, 2, 1, 1, 1, 2, 2, 10, 2, 6, 10, 1, 10, 10, 6, 1, 1, 6, 2, 1, 10, 6, 6, 2, 2, 1, 10, 1, 2, 10, 2, 1, 6, 1, 2, 10, 2, 1, 10, 2, 6, 6, 2, 2, 10, 2, 9, 9, 10, 10, 6, 6, 10, 10, 6, 6, 6, 10, 2, 6, 1, 2, 2, 0, 1, 2, 10, 2, 1, 2, 10, 10, 10, 1, 6, 1, 6, 1, 1, 2, 1, 1, 1, 10, 6, 6, 10, 6, 2, 10, 10, 6, 2, 9, 6, 6, 10, 1, 9, 1, 2, 6, 2, 2, 1, 10, 1, 6, 2, 10, 1, 2, 2, 10, 10, 2, 2, 2, 2, 10, 6, 2, 10, 6, 2, 2, 6, 1, 2, 10, 6, 6, 10, 1, 2, 1, 2, 6, 10, 2, 2, 6, 1, 10, 1, 6, 2, 1, 2, 6, 1, 6, 10, 6, 1, 10, 6, 2, 10, 6, 2, 10, 2, 10, 1, 2, 2, 6, 6, 1, 2, 2, 1, 10, 1, 10, 2, 1, 2, 6, 10, 10, 10, 1, 6, 1, 10, 10, 1, 2, 1, 10, 2, 1, 2, 6, 2, 2, 10, 6, 2, 1, 6, 2, 10, 6, 1, 1, 2, 1, 10, 2, 1, 10, 2, 6, 1, 2, 10, 2, 1, 10, 6, 0, 1, 10, 6, 6, 1, 10, 2, 4, 10, 1, 6, 6, 10, 6, 10, 10, 1, 10, 10, 4, 1, 10, 6, 1, 2, 10, 2, 2, 1, 6, 2, 2, 6, 1, 10, 2, 6, 2, 6, 6, 2, 6, 10, 6, 2, 10, 1, 10, 0, 2, 2, 10, 1, 4, 10, 1, 1, 6, 1, 2, 6, 6, 1, 6, 10, 2, 1, 2, 2, 2, 10, 2, 6, 1, 1, 1, 10, 10, 10, 1, 6, 2, 10, 2, 6, 2, 10, 6, 10, 10, 1, 2, 1, 6, 10, 1, 2, 2, 10, 10, 1, 5, 2, 2, 2, 2, 6, 6, 1, 1, 1, 1, 1, 1, 6, 9, 2, 1, 2, 1, 10, 10, 6, 1, 6, 2, 6, 2, 6, 2, 1, 2, 1, 1, 2, 2, 10, 6, 1, 1, 10, 10, 50, 2, 2, 10, 2, 2, 2, 10, 10, 2, 2, 6, 6, 6, 2, 1, 10, 6, 1, 2, 10, 10, 6, 2, 6, 10, 2, 1, 10, 1, 6, 10, 1, 2, 2, 10, 6, 10, 1, 2, 1, 10, 6, 2, 6, 1, 10, 6, 10, 1, 6, 1, 6, 10, 2, 1, 6, 10, 6, 1, 10, 9, 2, 10, 6, 2, 1, 1, 1, 6, 1, 6, 10, 10, 1, 2, 6, 2, 6, 6, 2, 2, 2, 2, 1, 1, 6, 1, 1, 6, 6, 2, 6, 2, 10, 10, 10, 1, 2, 2, 1, 10, 1, 10, 2, 1, 1, 10, 1, 1, 10, 0, 6, 9, 6, 10, 1, 1, 1, 2, 6, 10, 2, 6, 6, 6, 6, 2, 1, 6, 2, 2, 6, 1, 10, 10, 10, 1, 2, 10, 1, 10, 1, 10, 2, 1, 2, 10, 10, 10, 10, 6, 2, 1, 2, 1, 10, 6, 6, 2, 10, 1, 6, 2, 10, 6, 1, 1, 2, 2, 2, 6, 6, 1, 2, 1, 6, 2, 2, 10, 2, 2, 1, 2, 6, 2, 2, 2, 6, 2, 10, 10, 6, 1, 10, 10, 2, 10, 2, 1, 1, 2, 10, 1, 6, 2, 1, 2, 1, 6, 1, 6, 6, 2, 1, 2, 1, 10, 10, 10, 10, 10, 6, 2, 10, 6, 6, 4, 10, 2, 6, 6, 6, 2, 1, 6, 10, 10, 10, 10, 2, 10, 10, 10, 1, 9, 10, 4, 2, 10, 1, 6, 1, 6, 2, 2, 6, 6, 4, 6, 1, 1, 1, 1, 2, 2, 2, 1, 6, 6, 2, 2, 2, 2, 2, 2, 1, 1, 6, 2, 10, 2, 1, 10, 2, 10, 10, 6, 1, 1, 6, 10, 6, 10, 1, 6, 6, 6, 2, 10, 2, 1, 1, 6, 1, 10, 10, 6, 1, 6, 10, 2, 10, 10, 6, 10, 10, 1, 1, 1, 1, 2, 0, 2, 6, 1, 1, 2, 6, 6, 2, 1, 1, 1, 10, 10, 6, 6, 10, 10, 10, 10, 6, 6, 10, 10, 10, 6, 2, 10, 2, 1, 1, 6, 2, 10, 1, 10, 9, 2, 2, 6, 10, 2, 9, 2, 1, 6, 10, 1, 1, 6, 10, 2, 10, 10, 10, 2, 1, 2, 10, 2, 10, 10, 10, 10, 10, 1, 2, 2, 2, 2, 0, 2, 6, 1, 10, 6, 1, 10, 3, 1, 10, 6, 2, 10, 6, 2, 2, 10, 5, 10, 1, 1, 6, 10, 6, 6, 2, 2, 10, 6, 6, 2, 10, 4, 6, 6, 6, 2, 10, 2, 6, 10, 10, 10, 2, 1, 1, 1, 1, 1, 2, 10, 6, 10, 10, 6, 10, 1, 2, 10, 1, 1, 6, 2, 6, 1, 10, 6, 6, 6, 10, 2, 10, 1, 2, 6, 10, 1, 6, 2, 6, 2, 6, 2, 2, 6, 10, 2, 6, 1, 6, 6, 10, 1, 10, 1, 10, 10, 10, 10, 2, 4, 6, 6, 10, 1, 10, 10, 2, 1, 6, 1, 8, 1, 10, 6, 2, 1, 10, 1, 10, 6, 1, 1, 6, 10, 2, 6, 10, 2, 1, 6, 6, 10, 1, 2, 2, 2, 1, 1, 10, 10, 2, 10, 10, 2, 6, 1, 6, 1, 1, 2, 2, 10, 1, 2, 2, 6, 1, 10, 6, 6, 1, 1, 6, 1, 6, 2, 10, 10, 10, 1, 2, 10, 2, 10, 10, 6, 2, 6, 2, 10, 10, 1, 1, 6, 0, 2, 1, 2, 6, 6, 6, 2, 5, 2, 10, 6, 1, 6, 9, 10, 1, 1, 2, 6, 6, 10, 2, 1, 1, 2, 6, 1, 10, 10, 6, 6, 2, 1, 10, 6, 10, 1, 10, 2, 1, 1, 6, 10, 10, 6, 1, 1, 10, 10, 10, 2, 6, 1, 1, 6, 2, 2, 6, 6, 6, 2, 1, 2, 10, 10, 6, 7, 6, 6, 2, 10, 1, 2, 2, 1, 1, 6, 10, 1, 2, 1, 6, 2, 1, 10, 6, 10, 2, 1, 1, 6, 1, 10, 2, 2, 3, 2, 10, 6, 10, 10, 6, 1, 10, 2, 10, 10, 1, 10, 10, 2, 6, 1, 6, 1, 10, 5, 10, 2, 2, 1, 6, 1, 1, 6, 6, 2, 2, 1, 6, 1, 10, 6, 6, 10, 10, 10, 10, 1, 6, 2, 6, 2, 10, 10, 6, 1, 1, 0, 2, 10, 6, 2, 10, 10, 6, 1, 6, 1, 10, 10, 1, 2, 1, 0, 2, 0, 6, 6, 10, 2, 1, 10, 6, 2, 6, 6, 2, 2, 10, 10, 1, 10, 1, 1, 2, 6, 1, 1, 5, 10, 4, 1, 1, 10, 10, 1, 10, 2, 10, 1, 10, 2, 2, 6, 1, 6, 6, 1, 1, 6, 2, 1, 1, 6, 10, 2, 2, 1, 1, 2, 2, 0, 10, 1, 6, 10, 2, 1, 2, 2, 6, 10, 10, 6, 2, 1, 2, 1, 2, 6, 1, 5, 6, 10, 6, 6, 6, 1, 2, 10, 1, 1, 10, 6, 2, 6, 2, 4, 6, 6, 0, 1, 2, 6, 2, 2, 9, 10, 2, 10, 2, 6, 1, 6, 10, 1, 1, 2, 1, 10, 9, 10, 10, 1, 10, 10, 1, 10, 6, 5, 10, 1, 6, 1, 10, 10, 1, 2, 10, 6, 2, 1, 1, 6, 6, 6, 2, 10, 6, 6, 0, 6, 10, 0, 2, 6, 10, 6, 6, 10, 6, 2, 1, 2, 2, 1, 2, 6, 6, 6, 6, 1, 2, 6, 2, 6, 6, 10, 1, 6, 10, 2, 1, 10, 6, 4, 10, 10, 6, 1, 1, 10, 6, 2, 6, 2, 6, 6, 10, 10, 6, 6, 6, 10, 2, 10, 2, 10, 10, 10, 6, 10, 10, 1, 10, 1, 10, 2, 2, 2, 2, 6, 6, 6, 10, 1, 1, 6, 10, 10, 10, 10, 6, 10, 10, 6, 1, 6, 1, 2, 10, 1, 10, 2, 2, 1, 6, 2, 2, 2, 2, 1, 2, 1, 1, 10, 2, 2, 4, 10, 10, 10, 1, 6, 4, 6, 6, 6, 10, 5, 1, 10, 2, 9, 1, 2, 10, 2, 1, 6, 10, 2, 10, 1, 6, 1, 2, 2, 6, 1, 10, 2, 6, 10, 2, 6, 10, 1, 6, 1, 1, 1, 1, 10, 10, 2, 2, 2, 4, 6, 2, 1, 10, 9, 1, 6, 6, 6, 2, 1, 6, 1, 2, 1, 2, 1, 1, 6, 2, 1, 6, 2, 10, 6, 6, 1, 1, 1, 2, 10, 10, 1, 1, 2, 2, 1, 10, 2, 6, 1, 10, 5, 6, 10, 6, 2, 2, 10, 2, 6, 6, 6, 2, 2, 1, 4, 10, 10, 1, 10, 6, 2, 1, 2, 1, 2, 1, 2, 6, 10, 1, 2, 2, 2, 6, 6, 6, 2, 2, 2, 2, 10, 9, 6, 2, 1, 10, 6, 6, 1, 2, 6, 1, 1, 6, 2, 6, 2, 6, 0, 10, 6, 10, 6, 4, 1, 2, 6, 6, 1, 4, 6, 1, 2, 2, 1, 6, 10, 2, 1, 6, 1, 10, 1, 10, 10, 1, 2, 10, 9, 6, 1, 10, 2, 1, 2, 6, 10, 6, 1, 6, 1, 1, 2, 1, 6, 10, 10, 2, 2, 2, 6, 1, 2, 2, 1, 10, 2, 10, 1, 9, 2, 2, 1, 6, 2, 6, 1, 6, 2, 10, 10, 1, 2, 10, 6, 2, 2, 1, 10, 10, 10, 10, 2, 10, 10, 10, 2, 2, 10, 1, 4, 6, 2, 6, 6, 1, 0, 6, 2, 1, 6, 10, 10, 1, 2, 10, 1, 1, 10, 1, 6, 10, 10, 6, 10, 1, 2, 2, 2, 1, 1, 2, 6, 2, 6, 1, 2, 6, 6, 6, 6, 6, 6, 6, 2, 10, 2, 1, 1, 2, 6, 2, 1, 10, 2, 2, 6, 10, 2, 10, 2, 2, 6, 2, 2, 1, 1, 10, 5, 2, 10, 1, 6, 6, 10, 10, 6, 6, 1, 6, 1, 2, 1, 1, 2, 10, 1, 10, 6, 1, 10, 6, 1, 2, 2, 2, 2, 2, 1, 2, 2, 6, 10, 2, 10, 6, 6, 1, 10, 1, 2, 6, 2, 2, 10, 10, 1, 2, 6, 6, 6, 2, 2, 2, 10, 2, 2, 2, 10, 6, 1, 6, 2, 1, 1, 6, 10, 10, 1, 1, 2, 1, 10, 6, 6, 10, 6, 2, 6, 6, 6, 6, 10, 6, 6, 6, 10, 2, 1, 50, 2, 2, 6, 10, 2, 6, 2, 1, 2, 2, 10, 10, 2, 1, 1, 10, 2, 6, 2, 1, 10, 1, 1, 10, 6, 2, 2, 2, 10, 10, 1, 2, 6, 2, 10, 2, 6, 1, 10, 6, 2, 1, 6, 2, 0, 10, 1, 2, 1, 6, 10, 6, 1, 1, 10, 6, 2, 6, 6, 1, 1, 1, 0, 6, 6, 2, 1, 10, 2, 10, 10, 10, 2, 4, 1, 2, 1, 9, 6, 1, 1, 2, 6, 1, 10, 6, 1, 6, 6, 6, 10, 10, 10, 2, 10, 2, 6, 2, 10, 2, 2, 10, 2, 1, 1, 2, 2, 1, 2, 10, 6, 2, 6, 1, 1, 10, 2, 6, 1, 10, 9, 1, 2, 2, 1, 6, 10, 1, 1, 6, 1, 10, 10, 2, 1, 2, 10, 1, 2, 2, 6, 2, 10, 2, 6, 1, 6, 6, 2, 2, 2, 2, 6, 10, 2, 10, 1, 6, 6, 10, 1, 1, 6, 6, 6, 10, 10, 2, 1, 1, 1, 6, 2, 10, 1, 10, 6, 6, 10, 2, 2, 6, 10, 1, 1, 1, 10, 1, 10, 2, 1, 2, 2, 2, 10, 6, 10, 2, 10, 10, 10, 1, 6, 10, 10, 6, 1, 10, 2, 6, 1, 6, 2, 6, 1, 2, 10, 1, 6, 2, 1, 10, 10, 2, 2, 1, 2, 10, 1, 1, 6, 1, 9, 1, 2, 10, 6, 10, 6, 9, 2, 6, 6, 6, 6, 6, 2, 2, 6, 6, 6, 0, 6, 2, 1, 10, 9, 6, 1, 6, 6, 10, 10, 10, 6, 2, 10, 10, 6, 10, 9, 6, 10, 10, 10, 1, 5, 1, 1, 6, 6, 4, 2, 2, 2, 6, 6, 1, 6, 2, 1, 2, 6, 2, 6, 2, 10, 2, 2, 1, 2, 10, 10, 2, 6, 6, 1, 1, 1, 1, 2, 6, 2, 10, 6, 1, 2, 6, 2, 6, 1, 10, 10, 6, 10, 6, 1, 0, 10, 10, 1, 10, 2, 1, 1, 6, 6, 1, 10, 6, 10, 6, 6, 1, 2, 10, 0, 10, 10, 4, 6, 1, 10, 10, 6, 1, 1, 2, 2, 6, 2, 2, 9, 6, 6, 2, 10, 10, 6, 10, 6, 10, 10, 10, 2, 1, 2, 2, 1, 1, 6, 1, 6, 1, 2, 1, 6, 0, 10, 1, 10, 6, 6, 10, 10, 6, 1, 10, 10, 2, 1, 1, 1, 1, 6, 2, 10, 2, 10, 6, 2, 6, 6, 1, 10, 2, 1, 4, 10, 2, 10, 10, 2, 6, 6, 10, 2, 2, 10, 1, 10, 2, 2, 6, 5, 1, 1, 1, 4, 10, 6, 10, 2, 1, 5, 6, 10, 10, 1, 2, 10, 1, 6, 1, 10, 4, 6, 2, 2, 10, 2, 1, 6, 5, 2, 6, 6, 6, 6, 6, 2, 1, 6, 10, 10, 1, 5, 1, 2, 6, 6, 10, 2, 10, 1, 2, 10, 9, 2, 1, 6, 2, 2, 10, 4, 1, 2, 6, 1, 10, 6, 10, 0, 10, 1, 2, 6, 6, 6, 6, 1, 6, 6, 10, 1, 10, 10, 1, 10, 1, 1, 6, 1, 6, 10, 2, 1, 1, 10, 6, 6, 1, 1, 6, 6, 10, 10, 6, 1, 6, 2, 2, 6, 10, 2, 5, 1, 2, 1, 2, 2, 10, 6, 6, 6, 0, 6, 1, 1, 6, 1, 10, 10, 2, 4, 6, 10, 6, 1, 2, 1, 10, 2, 6, 6, 10, 1, 6, 6, 1, 2, 10, 6, 2, 10, 1, 10, 10, 6, 6, 2, 6, 5, 10, 10, 10, 2, 0, 10, 2, 1, 10, 2, 2, 6, 2, 6, 4, 10, 2, 2, 6, 2, 1, 6, 6, 6, 10, 10, 10, 2, 6, 2, 1, 1, 6, 6, 10, 1, 1, 1, 1, 10, 1, 2, 6, 2, 1, 1, 6, 1, 6, 6, 1, 5, 5, 2, 6, 1, 1, 1, 4, 1, 10, 10, 1, 10, 6, 2, 2, 2, 1, 1, 2, 2, 6, 10, 10, 10, 6, 10, 2, 6, 2, 10, 10, 6, 2, 10, 6, 6, 2, 10, 1, 2, 6, 6, 10, 6, 10, 6, 2, 5, 6, 2, 2, 8, 1, 10, 2, 10, 2, 1, 1, 6, 1, 2, 1, 1, 6, 1, 6, 10, 10, 1, 10, 2, 1, 4, 1, 10, 5, 1, 1, 1, 2, 2, 6, 1, 1, 6, 10, 1, 2, 1, 6, 6, 1, 10, 2, 2, 10, 10, 1, 10, 6, 1, 6, 2, 1, 2, 10, 10, 1, 1, 10, 6, 2, 6, 1, 6, 10, 2, 6, 10, 10, 2, 1, 1, 6, 2, 2, 10, 6, 1, 6, 6, 6, 1, 2, 2, 6, 10, 1, 2, 6, 4, 1, 2, 6, 2, 2, 1, 6, 2, 6, 10, 1, 5, 2, 2, 6, 2, 1, 1, 1, 1, 2, 2, 10, 1, 10, 6, 1, 2, 1, 2, 6, 1, 10, 2, 10, 2, 1, 10, 2, 2, 10, 1, 6, 6, 1, 6, 10, 1, 2, 2, 6, 6, 1, 10, 6, 10, 1, 10, 10, 10, 6, 2, 6, 10, 2, 2, 10, 4, 2, 10, 10, 10, 1, 2, 6, 6, 10, 1, 1, 2, 1, 6, 1, 2, 10, 10, 2, 10, 2, 10, 1, 1, 1, 2, 2, 6, 6, 10, 10, 6, 6, 6, 6, 1, 2, 6, 10, 10, 10, 10, 10, 2, 10, 10, 2, 6, 10, 2, 6, 6, 9, 6, 10, 9, 10, 6, 6, 6, 10, 1, 1, 2, 10, 6, 6, 6, 10, 1, 6, 1, 1, 9, 10, 1, 10, 1, 6, 6, 10, 1, 2, 2, 1, 6, 4, 6, 10, 10, 2, 1, 6, 6, 10, 2, 6, 6, 2, 10, 2, 2, 0, 2, 10, 10, 10, 1, 10, 1, 6, 6, 2, 10, 6, 6, 10, 1, 10, 2, 1, 1, 1, 1, 6, 1, 10, 4, 2, 2, 10, 2, 6, 10, 10, 1, 2, 2, 6, 6, 10, 2, 2, 10, 1, 1, 2, 1, 1, 6, 10, 6, 6, 10, 10, 1, 10, 5, 10, 6, 6, 1, 2, 2, 6, 2, 6, 1, 10, 10, 4, 10, 1, 1, 1, 10, 2, 10, 10, 2, 10, 6, 6, 2, 2, 1, 1, 1, 2, 2, 2, 6, 1, 2, 1, 10, 10, 9, 2, 10, 10, 2, 1, 10, 1, 1, 6, 10, 10, 10, 2, 2, 7, 6, 6, 1, 1, 6, 10, 2, 2, 10, 6, 2, 10, 10, 2, 10, 10, 10, 10, 1, 10, 1, 10, 2, 6, 10, 6, 6, 1, 10, 1, 1, 50, 2, 2, 1, 5, 2, 10, 6, 10, 2, 10, 1, 2, 10, 6, 6, 6, 1, 2, 2, 1, 10, 2, 9, 1, 10, 1, 10, 1, 6, 4, 2, 1, 10, 1, 1, 10, 6, 6, 10, 1, 8, 6, 10, 8, 6, 6, 2, 6, 10, 10, 6, 10, 2, 2, 10, 1, 2, 1, 10, 2, 10, 2, 6, 2, 1, 2, 10, 6, 1, 2, 2, 6, 6, 6, 6, 2, 10, 10, 6, 6, 6, 6, 6, 10, 6, 1, 2, 10, 2, 10, 1, 2, 1, 2, 4, 10, 2, 1, 10, 1, 2, 2, 2, 10, 10, 10, 6, 6, 2, 6, 1, 1, 10, 6, 10, 2, 6, 2, 1, 1, 0, 1, 1, 9, 1, 10, 10, 10, 10, 2, 1, 6, 1, 2, 1, 1, 6, 1, 6, 1, 6, 2, 6, 2, 2, 2, 6, 2, 6, 6, 1, 1, 2, 2, 2, 2, 1, 6, 2, 10, 6, 1, 10, 1, 1, 1, 6, 10, 2, 6, 10, 2, 1, 1, 1, 10, 10, 6, 10, 2, 10, 10, 10, 10, 1, 1, 1, 6, 10, 10, 10, 1, 2, 1, 2, 10, 5, 10, 10, 10, 6, 10, 2, 2, 1, 2, 10, 2, 2, 2, 10, 2, 6, 10, 2, 2, 2, 1, 6, 6, 6, 2, 2, 1, 6, 1, 1, 6, 2, 4, 1, 6, 1, 2, 6, 10, 2, 10, 10, 10, 2, 2, 4, 2, 1, 1, 1, 2, 2, 2, 6, 6, 1, 6, 6, 2, 10, 10, 1, 1, 10, 6, 6, 10, 1, 6, 2, 1, 2, 2, 6, 10, 10, 2, 10, 1, 1, 1, 10, 2, 6, 6, 5, 2, 10, 1, 2, 10, 1, 10, 10, 6, 1, 2, 2, 2, 10, 2, 10, 1, 2, 2, 5, 6, 1, 1, 6, 1, 2, 2, 6, 10, 1, 10, 4, 6, 10, 6, 8, 6, 6, 5, 2, 2, 1, 10, 2, 10, 6, 6, 6, 1, 2, 10, 1, 0, 2, 6, 6, 10, 6, 2, 1, 10, 2, 6, 10, 0, 2, 2, 6, 10, 6, 2, 10, 10, 2, 10, 2, 1, 1, 10, 10, 10, 1, 10, 1, 0, 2, 5, 1, 10, 6, 6, 1, 10, 10, 10, 10, 6, 1, 2, 6, 2, 6, 10, 1, 10, 1, 2, 2, 2, 5, 1, 2, 1, 10, 6, 10, 10, 1, 2, 2, 6, 2, 2, 2, 6, 6, 2, 2, 10, 6, 10, 2, 6, 4, 6, 6, 1, 10, 2, 10, 6, 2, 10, 2, 6, 10, 10, 10, 10, 5, 6, 10, 4, 2, 10, 10, 6, 1, 10, 6, 10, 6, 2, 10, 1, 1, 2, 2, 10, 10, 10, 6, 1, 1, 6, 6, 2, 2, 2, 1, 6, 6, 2, 2, 1, 10, 2, 2, 10, 6, 6, 10, 6, 2, 6, 6, 2, 1, 10, 10, 10, 6, 2, 1, 2, 6, 1, 6, 6, 10, 1, 6, 1, 2, 2, 2, 10, 6, 9, 2, 6, 0, 10, 10, 2, 2, 1, 2, 2, 2, 6, 10, 10, 10, 6, 2, 10, 2, 10, 1, 2, 2, 1, 6, 6, 1, 6, 10, 2, 2, 1, 6, 2, 2, 5, 10, 6, 1, 10, 10, 10, 2, 10, 6, 2, 2, 10, 1, 6, 6, 1, 6, 1, 2, 2, 2, 6, 10, 6, 6, 6, 2, 1, 2, 1, 2, 2, 10, 2, 2, 1, 2, 1, 6, 6, 10, 6, 10, 10, 2, 6, 10, 1, 2, 1, 1, 10, 2, 2, 2, 10, 5, 6, 1, 10, 6, 10, 1, 6, 10, 2, 10, 10, 6, 10, 10, 6, 2, 2, 1, 10, 6, 1, 1, 10, 6, 6, 10, 6, 2, 10, 1, 10, 10, 10, 2, 6, 2, 10, 10, 6, 2, 2, 10, 6, 10, 2, 10, 1, 2, 1, 2, 6, 10, 1, 2, 1, 2, 2, 6, 2, 1, 2, 1, 6, 1, 1, 10, 1, 2, 2, 2, 10, 10, 2, 2, 10, 2, 10, 2, 6, 6, 10, 10, 10, 1, 1, 10, 1, 1, 10, 6, 2, 1, 6, 2, 2, 10, 1, 10, 2, 2, 6, 6, 10, 2, 2, 6, 10, 6, 6, 10, 1, 10, 1, 10, 6, 6, 6, 10, 10, 6, 10, 2, 1, 2, 2, 10, 1, 10, 10, 10, 6, 10, 10, 2, 1, 10, 6, 1, 2, 2, 2, 1, 6, 1, 10, 6, 1, 10, 2, 10, 10, 1, 10, 10, 1, 10, 1, 1, 6, 4, 10, 1, 1, 2, 6, 10, 10, 1, 10, 6, 6, 1, 10, 10, 1, 6, 6, 2, 1, 10, 10, 6, 2, 10, 1, 6, 6, 10, 1, 6, 2, 10, 6, 10, 6, 2, 6, 2, 6, 2, 2, 6, 10, 6, 6, 2, 6, 6, 6, 1, 2, 10, 1, 1, 10, 6, 6, 10, 2, 1, 10, 1, 10, 1, 10, 10, 1, 2, 1, 6, 10, 1, 6, 1, 2, 1, 1, 10, 2, 1, 6, 6, 1, 1, 6, 2, 6, 2, 2, 1, 1, 9, 6, 10, 6, 10, 1, 2, 10, 2, 10, 10, 10, 6, 1, 6, 2, 6, 1, 6, 2, 1, 6, 4, 1, 2, 1, 2, 6, 10, 2, 1, 1, 10, 6, 2, 6, 10, 6, 2, 10, 1, 6, 1, 2, 10, 2, 1, 1, 6, 2, 10, 2, 1, 1, 10, 2, 6, 2, 1, 2, 2, 10, 10, 1, 2, 1, 2, 1, 10, 6, 2, 6, 10, 10, 1, 6, 6, 1, 6, 1, 1, 6, 2, 1, 10, 6, 10, 6, 1, 10, 10, 1, 10, 1, 6, 10, 6, 2, 2, 10, 6, 10, 6, 6, 10, 6, 10, 1, 1, 10, 2, 1, 6, 6, 0, 2, 1, 6, 1, 10, 8, 6, 2, 1, 10, 0, 10, 1, 6, 10, 10, 10, 10, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 10, 10, 6, 6, 1, 2, 10, 10, 6, 10, 2, 1, 6, 10, 2, 1, 2, 6, 2, 1, 10, 2, 10, 1, 2, 4, 2, 2, 2, 10, 2, 2, 10, 1, 6, 10, 10, 2, 2, 1, 2, 2, 2, 1, 10, 10, 6, 2, 2, 1, 2, 1, 2, 50, 2, 2, 2, 2, 2, 1, 10, 2, 1, 10, 10, 6, 6, 1, 1, 10, 9, 6, 2, 2, 6, 6, 6, 1, 6, 4, 6, 10, 6, 6, 6, 10, 10, 10, 2, 2, 1, 2, 1, 6, 2, 6, 10, 2, 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10, 10, 6, 10, 10, 10, 2, 1, 10, 10, 10, 10, 10, 1, 10, 6, 1, 6, 2, 6, 10, 5, 6, 10, 1, 0, 2, 1, 2, 6, 10, 10, 2, 6, 10, 2, 1, 6, 1, 6, 10, 1, 2, 10, 2, 10, 5, 10, 6, 1, 2, 10, 10, 2, 2, 10, 2, 10, 6, 2, 1, 1, 1, 6, 0, 6, 2, 2, 2, 2, 1, 2, 10, 4, 1, 2, 1, 6, 2, 1, 6, 6, 6, 0, 10, 10, 6, 60, 10, 10, 6, 6, 2, 2, 2, 1, 1, 2, 2, 6, 2, 2, 10, 10, 2, 1, 10, 6, 10, 1, 2, 6, 6, 6, 1, 10, 1, 2, 10, 2, 2, 2, 1, 1, 6, 10, 10, 6, 1, 6, 10, 6, 2, 0, 4, 10, 2, 1, 10, 6, 10, 10, 2, 1, 2, 6, 10, 6, 1, 6, 1, 10, 6, 10, 2, 1, 1, 6, 1, 6, 10, 10, 6, 2, 10, 2, 10, 2, 10, 6, 6, 10, 6, 2, 10, 10, 2, 2, 1, 10, 10, 10, 6, 1, 1, 6, 10, 10, 10, 10, 10, 10, 6, 1, 2, 1, 10, 6, 10, 6, 2, 6, 6, 1, 6, 1, 2, 6, 4, 1, 6, 1, 10, 6, 6, 2, 10, 10, 10, 10, 6, 2, 2, 2, 1, 10, 1, 0, 2, 10, 1, 2, 6, 2, 0, 6, 6, 10, 2, 2, 10, 2, 6, 6, 2, 2, 6, 2, 10, 10, 2, 1, 2, 6, 6, 2, 0, 1, 10, 10, 6, 10, 1, 6, 10, 1, 1, 2, 1, 1, 6, 2, 2, 1, 1, 10, 1, 10, 1, 6, 6, 10, 6, 10, 10, 6, 1, 10, 10, 6, 10, 6, 2, 2, 10, 6, 2, 10, 10, 6, 1, 10, 1, 1, 1, 1, 6, 2, 6, 2, 2, 1, 10, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 10, 10, 2, 4, 10, 1, 6, 10, 2, 10, 2, 0, 1, 1, 2, 2, 10, 2, 1, 1, 2, 1, 6, 1, 6, 6, 10, 2, 2, 6, 2, 6, 6, 6, 2, 10, 2, 1, 10, 0, 10, 6, 2, 1, 2, 6, 1, 6, 10, 5, 10, 2, 10, 1, 6, 1, 1, 10, 10, 1, 2, 10, 1, 2, 2, 10, 2, 1, 10, 2, 1, 10, 1, 6, 10, 10, 6, 6, 2, 6, 2, 1, 10, 6, 1, 6, 0, 2, 10, 2, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 10, 10, 2, 2, 10, 10, 1, 6, 6, 6, 6, 10, 1, 6, 6, 6, 1, 10, 6, 2, 2, 6, 6, 1, 6, 1, 6, 6, 6, 10, 10, 6, 1, 2, 2, 10, 10, 10, 6, 10, 2, 10, 1, 2, 0, 10, 2, 2, 10, 1, 10, 8, 2, 4, 5, 1, 2, 1, 10, 1, 1, 2, 6, 2, 10, 6, 10, 2, 6, 6, 2, 2, 1, 2, 10, 1, 10, 6, 2, 2, 10, 10, 6, 6, 10, 2, 1, 1, 6, 1, 1, 10, 2, 1, 9, 2, 1, 2, 6, 2, 6, 6, 0, 6, 6, 10, 1, 9, 1, 6, 10, 0, 2, 10, 1, 1, 6, 10, 10, 10, 10, 1, 10, 2, 1, 1, 6, 2, 6, 6, 10, 2, 6, 2, 10, 10, 2, 6, 6, 1, 1, 10, 1, 10, 6, 6, 1, 1, 10, 1, 2, 2, 2, 1, 10, 6, 2, 10, 10, 2, 10, 2, 10, 6, 1, 2, 10, 6, 1, 2, 2, 6, 10, 10, 10, 2, 6, 2, 6, 10, 9, 6, 10, 2, 2, 10, 10, 2, 2, 6, 10, 10, 10, 6, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 6, 2, 10, 6, 2, 2, 10, 1, 1, 1, 10, 2, 6, 10, 2, 1, 1, 1, 1, 1, 1, 10, 6, 10, 10, 1, 1, 1, 10, 2, 6, 2, 10, 1, 2, 2, 10, 2, 2, 2, 6, 2, 6, 1, 10, 2, 6, 6, 10, 6, 10, 1, 1, 6, 2, 10, 2, 6, 1, 10, 1, 6, 6, 2, 10, 10, 2, 10, 10, 2, 2, 1, 2, 2, 6, 1, 2, 1, 1, 6, 2, 6, 10, 6, 6, 0, 6, 1, 1, 6, 10, 1, 1, 6, 2, 1, 10, 6, 2, 1, 10, 1, 1, 6, 10, 1, 1, 10, 6, 2, 2, 1, 1, 6, 10, 6, 1, 2, 10, 5, 9, 10, 6, 10, 2, 10, 2, 2, 1, 2, 1, 6, 10, 6, 6, 6, 2, 6, 1, 6, 2, 0, 1, 1, 2, 2, 10, 6, 6, 1, 2, 1, 10, 10, 10, 6, 1, 6, 2, 1, 9, 6, 2, 10, 1, 6, 1, 2, 10, 6, 10, 2, 10, 1, 1, 2, 1, 2, 5, 9, 6, 9, 10, 6, 2, 6, 4, 1, 2, 6, 6, 2, 2, 9, 2, 6, 1, 6, 10, 1, 6, 1, 6, 9, 6, 6, 6, 1, 2, 5, 6, 6, 6, 6, 1, 10, 10, 1, 2, 1, 1, 2, 2, 10, 2, 6, 6, 10, 1, 6, 2, 1, 2, 1, 1, 2, 10, 10, 2, 6, 6, 1, 6, 2, 6, 4, 2, 6, 10, 6, 10, 1, 6, 1, 10, 1, 10, 6, 10, 2, 6, 6, 10, 6, 2, 10, 1, 10, 6, 1, 1, 1, 10, 10, 6, 1, 10, 6, 10, 6, 4, 9, 2, 1, 1, 2, 6, 2, 0, 2, 10, 1, 1, 10, 10, 2, 6, 1, 2, 1, 10, 2, 1, 1, 2, 6, 2, 1, 1, 2, 1, 10, 6, 4, 10, 1, 6, 2, 6, 1, 10, 2, 6, 2, 10, 2, 10, 6, 6, 2, 1, 2, 6, 1, 10, 2, 1, 6, 10, 10, 10, 6, 6, 10, 10, 10, 1, 6, 10, 2, 10, 1, 2, 2, 10, 2, 4, 10, 2, 6, 10, 2, 10, 10, 1, 10, 2, 1, 1, 2, 10, 6, 2, 1, 10, 1, 10, 6, 5, 2, 2, 2, 2, 2, 6, 6, 10, 2, 10, 6, 2, 6, 2, 6, 2, 10, 6, 6, 1, 10, 2, 2, 6, 2, 10, 10, 10, 10, 2, 1, 2, 6, 10, 10, 2, 1, 1, 1, 6, 60, 2, 1, 2, 10, 10, 1, 1, 2, 2, 1, 6, 1, 2, 6, 6, 6, 1, 10, 2, 6, 10, 10, 6, 10, 6, 6, 10, 2, 1, 10, 6, 2, 10, 2, 6, 4, 10, 1, 1, 2, 2, 10, 1, 6, 2, 10, 10, 6, 1, 2, 1, 2, 10, 1, 2, 10, 2, 10, 1, 1, 2, 2, 10, 6, 6, 1, 1, 1, 2, 1, 6, 2, 6, 1, 2, 2, 2, 10, 2, 10, 6, 1, 1, 1, 10, 4, 2, 2, 6, 2, 6, 10, 6, 2, 1, 10, 10, 6, 10, 10, 2, 6, 1, 10, 2, 10, 10, 2, 6, 2, 2, 2, 2, 1, 6, 1, 10, 1, 10, 10, 10, 6, 2, 6, 2, 6, 10, 6, 10, 10, 1, 1, 1, 10, 6, 10, 2, 2, 2, 2, 5, 6, 1, 2, 1, 2, 10, 1, 2, 6, 6, 1, 10, 6, 2, 6, 6, 10, 10, 6, 1, 10, 10, 2, 4, 1, 6, 2, 2, 6, 10, 6, 10, 1, 9, 10, 2, 2, 2, 1, 10, 2, 6, 10, 10, 2, 1, 9, 6, 2, 4, 2, 2, 1, 10, 10, 1, 1, 6, 2, 2, 1, 10, 2, 2, 2, 2, 2, 2, 10, 10, 1, 1, 1, 1, 2, 10, 2, 6, 1, 6, 6, 10, 6, 6, 10, 10, 10, 1, 10, 2, 1, 6, 6, 10, 1, 10, 1, 10, 10, 2, 2, 2, 10, 10, 2, 6, 10, 2, 10, 1, 1, 6, 9, 10, 2, 10, 6, 2, 10, 6, 6, 10, 10, 10, 1, 1, 6, 10, 6, 1, 10, 10, 6, 1, 1, 6, 6, 1, 2, 2, 2, 2, 10, 10, 10, 1, 6, 10, 10, 6, 1, 6, 2, 2, 10, 6, 1, 10, 1, 2, 10, 1, 1, 1, 1, 2, 10, 10, 10, 6, 6, 2, 1, 1, 5, 1, 6, 1, 6, 10, 1, 1, 10, 2, 2, 1, 2, 10, 6, 1, 10, 2, 1, 5, 2, 1, 10, 2, 10, 10, 6, 4, 2, 6, 6, 10, 6, 1, 10, 10, 0, 6, 1, 2, 6, 2, 2, 6, 2, 6, 10, 2, 1, 1, 1, 1, 10, 1, 10, 10, 1, 10, 2, 6, 1, 10, 6, 6, 1, 10, 10, 2, 10, 6, 2, 10, 1, 1, 1, 2, 10, 6, 6, 9, 6, 2, 6, 0, 10, 2, 10, 0, 1, 2, 10, 2, 4, 1, 10, 2, 6, 2, 1, 1, 2, 1, 40, 2, 1, 6, 6, 2, 6, 2, 6, 6, 10, 6, 2, 10, 2, 10, 2, 9, 10, 6, 6, 2, 2, 10, 1, 6, 4, 2, 6, 6, 6, 10, 6, 1, 6, 2, 10, 10, 6, 6, 10, 6, 6, 2, 2, 10, 6, 1, 2, 2, 2, 1, 6, 9, 6, 1, 10, 10, 10, 2, 1, 6, 1, 2, 6, 10, 10, 1, 10, 2, 2, 6, 1, 10, 2, 2, 6, 6, 1, 10, 10, 2, 1, 1, 6, 6, 1, 1, 10, 1, 2, 6, 1, 4, 10, 10, 10, 9, 6, 1, 1, 6, 10, 10, 10, 2, 1, 2, 1, 2, 6, 6, 10, 6, 10, 1, 6, 10, 10, 10, 2, 2, 2, 1, 2, 2, 6, 0, 2, 2, 1, 6, 2, 9, 6, 0, 10, 1, 1, 10, 2, 6, 6, 10, 2, 2, 2, 2, 1, 10, 10, 10, 1, 10, 1, 2, 6, 6, 1, 2, 2, 6, 10, 6, 2, 10, 1, 10, 4, 6, 10, 6, 2, 10, 2, 2, 1, 10, 2, 1, 6, 10, 2, 1, 6, 1, 1, 6, 6, 6, 2, 5, 2, 6, 1, 2, 10, 10, 1, 2, 10, 2, 6, 6, 10, 0, 10, 10, 2, 1, 10, 10, 10, 2, 1, 2, 6, 2, 6, 10, 10, 10, 2, 1, 6, 6, 2, 10, 6, 10, 10, 6, 1, 10, 1, 10, 10, 1, 6, 6, 6, 1, 2, 2, 2, 6, 2, 10, 1, 10, 2, 6, 6, 6, 6, 1, 2, 2, 6, 2, 1, 2, 0, 2, 1, 10, 1, 6, 10, 0, 1, 10, 6, 6, 1, 2, 10, 1, 2, 2, 6, 6, 10, 10, 1, 2, 1, 1, 2, 2, 1, 6, 2, 2, 6, 10, 2, 2, 1, 6, 1, 10, 6, 2, 2, 10, 2, 10, 1, 1, 10, 1, 1, 1, 10, 4, 2, 6, 6, 1, 6, 10, 2, 1, 6, 10, 1, 2, 10, 2, 6, 1, 2, 2, 6, 1, 2, 1, 10, 1, 2, 6, 2, 1, 6, 1, 6, 10, 1, 10, 2, 1, 4, 5, 10, 1, 10, 10, 1, 6, 2, 2, 2, 10, 1, 10, 10, 10, 6, 2, 10, 6, 10, 1, 10, 1, 10, 2, 9, 2, 6, 2, 2, 2, 2, 1, 6, 1, 1, 10, 2, 2, 6, 6, 6, 10, 6, 10, 10, 1, 1, 1, 1, 6, 2, 6, 8, 10, 2, 6, 1, 2, 5, 5, 1, 2, 10, 6, 1, 6, 6, 1, 6, 2, 10, 6, 10, 1, 1, 6, 6, 10, 10, 10, 2, 10, 10, 1, 10, 10, 2, 1, 1, 1, 10, 1, 6, 6, 6, 10, 6, 1, 2, 1, 6, 10, 1, 10, 10, 6, 6, 6, 2, 1, 6, 6, 2, 6, 2, 2, 6, 10, 6, 1, 10, 1, 6, 2, 2, 6, 2, 10, 1, 2, 1, 10, 2, 6, 4, 1, 2, 1, 1, 6, 10, 2, 1, 10, 2, 1, 1, 1, 1, 10, 2, 10, 10, 1, 2, 2, 6, 2, 2, 1, 10, 10, 2, 10, 10, 6, 1, 2, 2, 2, 1, 10, 6, 2, 10, 1, 10, 2, 10, 1, 9, 10, 10, 1, 1, 2, 2, 10, 1, 1, 6, 10, 1, 1, 6, 2, 10, 6, 1, 10, 2, 6, 2, 6, 10, 2, 1, 1, 2, 6, 6, 1, 10, 6, 1, 1, 4, 2, 1, 2, 2, 6, 10, 1, 10, 10, 1, 1, 2, 2, 10, 2, 2, 2, 1, 10, 1, 1, 6, 10, 10, 2, 6, 10, 6, 10, 2, 2, 2, 10, 6, 10, 10, 2, 6, 2, 1, 10, 1, 6, 1, 10, 1, 4, 4, 2, 6, 2, 1, 10, 2, 10, 1, 2, 10, 1, 10, 2, 1, 10, 1, 1, 10, 6, 1, 2, 6, 10, 6, 2, 1, 2, 10, 1, 0, 10, 0, 2, 10, 1, 10, 2, 6, 10, 10, 1, 10, 1, 6, 2, 2, 6, 2, 10, 2, 10, 6, 2, 6, 2, 10, 10, 2, 2, 10, 10, 10, 10, 2, 6, 10, 1, 6, 2, 2, 1, 1, 10, 10, 2, 10, 10, 1, 10, 10, 10, 6, 9, 6, 10, 2, 6, 1, 10, 9, 2, 1, 2, 1, 6, 1, 2, 6, 6, 2, 10, 2, 1, 6, 6, 1, 6, 2, 2, 10, 2, 1, 6, 10, 6, 2, 1, 6, 6, 2, 10, 6, 2, 10, 1, 6, 6, 2, 6, 6, 6, 2, 1, 2, 6, 10, 2, 6, 10, 2, 2, 2, 2, 1, 1, 6, 2, 10, 10, 10, 2, 2, 10, 6, 2, 6, 2, 2, 2, 2, 2, 10, 10, 2, 2, 10, 2, 2, 5, 10, 2, 2, 10, 6, 2, 2, 2, 1, 2, 2, 10, 10, 1, 6, 6, 6, 2, 1, 1, 1, 10, 6, 1, 2, 10, 1, 2, 2, 1, 6, 1, 10, 2, 10, 6, 6, 6, 10, 2, 1, 10, 2, 9, 2, 10, 1, 1, 10, 1, 10, 2, 6, 6, 10, 2, 2, 9, 6, 2, 1, 1, 1, 6, 10, 10, 1, 1, 1, 1, 2, 1, 6, 10, 10, 1, 2, 2, 10, 6, 10, 1, 2, 2, 2, 2, 10, 6, 2, 2, 2, 1, 4, 1, 2, 1, 2, 6, 2, 1, 2, 1, 6, 6, 10, 1, 6, 2, 1, 1, 2, 1, 6, 10, 9, 1, 2, 10, 2, 6, 1, 9, 0, 6, 10, 10, 1, 6, 10, 1, 1, 10, 6, 2, 1, 10, 1, 10, 6, 1, 10, 6, 6, 2, 2, 2, 2, 10, 1, 10, 6, 10, 6, 1, 2, 1, 2, 10, 6, 1, 10, 2, 2, 2, 1, 1, 10, 10, 0, 6, 10, 10, 10, 5, 10, 10, 2, 10, 2, 10, 6, 1, 2, 1, 6, 2, 2, 1, 6, 2, 4, 1, 6, 1, 2, 6, 6, 2, 6, 10, 10, 2, 2, 1, 10, 6, 1, 2, 2, 2, 6, 1, 6, 6, 2, 1, 10, 5, 1, 10, 10, 2, 6, 10, 2, 1, 2, 2, 6, 6, 1, 1, 6, 6, 10, 1, 10, 2, 2, 6, 10, 10, 6, 2, 5, 6, 6, 1, 2, 2, 1, 6, 1, 6, 2, 1, 2, 1, 1, 2, 10, 10, 10, 10, 1, 2, 10, 6, 10, 10, 6, 10, 6, 2, 10, 6, 9, 1, 1, 2, 6, 1, 10, 1, 2, 6, 1, 1, 10, 6, 2, 6, 1, 2, 2, 6, 2, 10, 6, 1, 1, 1, 2, 10, 6, 10, 2, 1, 2, 1, 2, 10, 1, 6, 1, 2, 10, 1, 10, 6, 2, 2, 6, 6, 2, 2, 6, 10, 2, 10, 6, 1, 1, 1, 2, 2, 10, 9, 2, 6, 10, 6, 2, 6, 2, 2, 6, 1, 1, 10, 1, 6, 2, 6, 6, 1, 1, 10, 2, 0, 10, 2, 6, 10, 2, 2, 10, 6, 2, 9, 6, 6, 9, 6, 5, 2, 1, 10, 10, 1, 1, 2, 2, 2, 1, 1, 10, 10, 6, 5, 1, 6, 4, 2, 1, 2, 10, 10, 2, 10, 1, 2, 6, 9, 1, 1, 2, 1, 2, 6, 1, 10, 10, 1, 2, 2, 2, 1, 2, 2, 6, 1, 10, 2, 2, 10, 4, 2, 10, 9, 6, 10, 9, 10, 2, 10, 6, 6, 1, 10, 6, 2, 1, 2, 6, 2, 10, 1, 1, 6, 1, 4, 6, 1, 2, 1, 2, 6, 2, 2, 2, 1, 6, 6, 2, 10, 2, 1, 6, 2, 10, 10, 10, 2, 1, 10, 2, 2, 6, 10, 2, 4, 1, 1, 6, 10, 6, 10, 10, 2, 1, 6, 2, 1, 1, 1, 10, 1, 1, 10, 1, 2, 6, 10, 10, 10, 6, 0, 10, 10, 6, 2, 2, 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6, 1, 1, 1, 10, 2, 5, 1, 1, 1, 10, 1, 1, 6, 0, 4, 10, 6, 6, 10, 6, 2, 10, 1, 2, 6, 10, 6, 6, 2, 10, 6, 6, 10, 6, 10, 1, 2, 1, 2, 1, 1, 10, 10, 2, 2, 10, 10, 1, 2, 4, 1, 1, 6, 2, 1, 10, 1, 2, 2, 2, 1, 10, 1, 2, 2, 10, 2, 10, 2, 6, 2, 1, 10, 10, 2, 10, 1, 6, 2, 2, 10, 6, 10, 10, 10, 2, 10, 2, 10, 7, 1, 6, 2, 6, 10, 10, 2, 2, 6, 6, 2, 1, 1, 2, 10, 2, 1, 10, 1, 1, 1, 2, 10, 2, 2, 2, 2, 2, 6, 6, 2, 6, 4, 10, 2, 2, 1, 10, 5, 2, 2, 1, 1, 6, 6, 2, 1, 2, 10, 2, 10, 10, 6, 10, 6, 2, 1, 10, 10, 10, 2, 2, 1, 2, 4, 2, 1, 1, 10, 6, 2, 1, 6, 10, 2, 6, 1, 6, 2, 2, 6, 1, 10, 2, 2, 6, 10, 6, 1, 6, 2, 10, 2, 2, 10, 6, 2, 2, 10, 10, 6, 6, 1, 2, 2, 6, 6, 1, 10, 6, 6, 2, 10, 6, 2, 2, 10, 10, 1, 2, 6, 6, 10, 6, 6, 6, 10, 10, 6, 2, 6, 6, 10, 1, 1, 1, 10, 2, 6, 6, 1, 1, 6, 10, 1, 6, 10, 1, 2, 6, 10, 6, 10, 1, 1, 4, 2, 2, 1, 10, 6, 1, 1, 1, 10, 10, 6, 2, 10, 2, 1, 10, 1, 2, 10, 10, 2, 1, 10, 1, 2, 10, 6, 6, 6, 6, 10, 2, 6, 2, 9, 10, 6, 6, 1, 6, 4, 1, 6, 2, 1, 2, 10, 10, 7, 10, 10, 6, 6, 1, 10, 10, 6, 6, 2, 2, 6, 6, 2, 6, 10, 6, 6, 2, 6, 2, 6, 2, 6, 2, 6, 6, 1, 1, 2, 10, 10, 2, 1, 10, 6, 2, 2, 1, 6, 6, 2, 2, 1, 6, 10, 2, 10, 6, 2, 10, 10, 2, 2, 6, 6, 6, 2, 2, 5, 1, 2, 2, 1, 6, 6, 10, 10, 2, 1, 6, 1, 10, 2, 1, 1, 10, 6, 1, 10, 2, 2, 2, 10, 2, 1, 10, 10, 10, 6, 2, 10, 10, 1, 2, 2, 2, 10, 1, 1, 2, 2, 2, 6, 10, 6, 2, 10, 2, 6, 9, 2, 6, 6, 10, 2, 6, 6, 1, 1, 10, 2, 2, 6, 6, 2, 10, 2, 10, 1, 10, 6, 2, 6, 1, 10, 6, 10, 4, 2, 6, 1, 10, 1, 2, 10, 2, 10, 2, 2, 1, 5, 10, 10, 6, 6, 6, 9, 6, 10, 6, 1, 1, 2, 6, 2, 10, 6, 1, 1, 6, 6, 2, 6, 2, 1, 1, 5, 10, 2, 9, 2, 10, 10, 10, 10, 6, 2, 6, 10, 6, 10, 6, 6, 10, 1, 0, 1, 10, 6, 2, 1, 6, 2, 6, 10, 4, 0, 6, 1, 1, 10, 1, 1, 6, 6, 6, 10, 2, 10, 6, 2, 1, 2, 6, 1, 2, 10, 2, 10, 1, 6, 6, 9, 1, 2, 6, 2, 10, 6, 10, 10, 6, 2, 2, 9, 6, 6, 6, 2, 6, 10, 2, 1, 2, 1, 1, 2, 2, 10, 6, 10, 10, 2, 10, 2, 10, 2, 6, 2, 1, 2, 6, 6, 1, 2, 1, 10, 10, 6, 2, 2, 10, 2, 1, 2, 10, 2, 1, 6, 6, 6, 6, 1, 6, 2, 6, 1, 9, 2, 10, 6, 2, 6, 1, 10, 5, 1, 6, 2, 10, 1, 10, 9, 1, 1, 6, 1, 6, 6, 10, 1, 10, 6, 6, 6, 2, 1, 1, 10, 10, 2, 2, 6, 2, 6, 10, 2, 6, 6, 1, 2, 6, 2, 2, 1, 2, 1, 6, 2, 2, 2, 10, 6, 2, 2, 6, 10, 6, 10, 6, 6, 6, 10, 6, 6, 2, 1, 10, 2, 1, 10, 1, 2, 6, 10, 2, 6, 6, 10, 10, 10, 1, 6, 6, 10, 10, 2, 2, 4, 1, 10, 10, 2, 6, 1, 6, 6, 6, 1, 6, 1, 2, 6, 2, 10, 6, 6, 6, 10, 6, 10, 6, 2, 10, 10, 10, 2, 1, 2, 10, 6, 6, 6, 2, 4, 10, 10, 1, 10, 6, 2, 6, 6, 6, 6, 10, 10, 6, 6, 1, 1, 6, 1, 2, 10, 6, 10, 1, 10, 2, 1, 6, 6, 6, 2, 10, 10, 2, 10, 1, 1, 10, 2, 2, 2, 1, 6, 1, 10, 2, 2, 10, 2, 10, 10, 1, 2, 10, 1, 2, 6, 2, 1, 2, 6, 1, 10, 10, 1, 1, 10, 10, 2, 10, 2, 6, 1, 10, 6, 10, 10, 1, 10, 1, 2, 2, 1, 10, 6, 6, 5, 6, 1, 2, 2, 10, 6, 10, 2, 1, 1, 2, 1, 2, 2, 6, 1, 6, 6, 2, 10, 2, 6, 5, 2, 10, 6, 2, 9, 6, 1, 6, 10, 6, 6, 2, 1, 6, 6, 10, 10, 10, 6, 1, 10, 6, 10, 1, 6, 6, 7, 10, 10, 5, 6, 1, 10, 6, 10, 6, 10, 10, 2, 1, 1, 1, 10, 2, 2, 6, 10, 6, 1, 6, 1, 1, 2, 10, 10, 2, 10, 2, 6, 10, 2, 10, 1, 6, 10, 6, 10, 2, 1, 2, 2, 6, 2, 10, 6, 2, 10, 10, 10, 10, 1, 1, 10, 6, 9, 1, 6, 1, 5, 2, 2, 10, 6, 2, 10, 2, 2, 2, 2, 1, 2, 10, 6, 10, 6, 6, 1, 6, 6, 6, 6, 1, 1, 6, 6, 6, 1, 1, 2, 10, 1, 10, 6, 1, 1, 6, 1, 6, 1, 1, 1, 1, 10, 2, 2, 1, 6, 1, 10, 10, 2, 10, 10, 2, 6, 10, 2, 6, 10, 6, 2, 6, 10, 6, 1, 10, 10, 4, 1, 1, 10, 6, 1, 6, 10, 1, 6, 1, 1, 6, 2, 1, 10, 2, 10, 1, 1, 4, 2, 10, 10, 10, 6, 2, 2, 6, 9, 1, 1, 10, 6, 2, 2, 2, 6, 6, 1, 1, 6, 6, 6, 1, 2, 6, 10, 2, 1, 6, 10, 6, 10, 10, 1, 10, 2, 10, 2, 10, 10, 6, 1, 6, 1, 6, 10, 40, 6, 1, 10, 10, 2, 1, 6, 1, 2, 10, 6, 6, 6, 2, 1, 10, 1, 1, 6, 6, 2, 6, 1, 1, 1, 6, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 6, 10, 10, 1, 2, 1, 10, 6, 2, 2, 6, 1, 4, 6, 2, 10, 1, 6, 6, 6, 1, 10, 2, 2, 1, 6, 2, 1, 10, 6, 2, 2, 10, 6, 6, 5, 6, 1, 10, 10, 6, 10, 6, 6, 2, 6, 1, 10, 1, 1, 6, 1, 10, 1, 10, 10, 1, 10, 6, 10, 10, 10, 1, 6, 6, 2, 10, 6, 1, 2, 5, 10, 2, 2, 2, 2, 1, 2, 6, 2, 6, 10, 1, 2, 2, 9, 10, 10, 1, 2, 1, 1, 2, 10, 10, 6, 2, 6, 6, 2, 6, 2, 2, 4, 10, 6, 6, 6, 6, 2, 6, 1, 1, 1, 2, 10, 1, 10, 6, 2, 10, 10, 1, 2, 2, 2, 2, 1, 1, 6, 1, 6, 6, 2, 2, 2, 10, 10, 1, 2, 10, 10, 6, 1, 2, 2, 10, 1, 1, 10, 10, 6, 1, 1, 1, 2, 6, 10, 6, 0, 10, 6, 1, 6, 6, 1, 6, 2, 2, 10, 6, 1, 10, 2, 1, 4, 6, 50, 2, 4, 2, 2, 10, 2, 6, 1, 10, 2, 6, 1, 1, 6, 10, 1, 2, 10, 1, 1, 2, 1, 10, 2, 10, 1, 0, 6, 0, 2, 10, 2, 10, 10, 6, 2, 2, 1, 1, 10, 10, 6, 6, 10, 6, 2, 6, 10, 1, 6, 10, 2, 1, 6, 1, 6, 9, 6, 1, 6, 1, 1, 6, 6, 2, 6, 6, 1, 6, 6, 1, 6, 6, 1, 6, 10, 2, 6, 6, 2, 9, 6, 2, 10, 1, 6, 2, 10, 1, 1, 6, 2, 6, 10, 10, 10, 6, 2, 6, 1, 6, 10, 1, 2, 6, 1, 6, 1, 6, 1, 9, 2, 2, 1, 5, 2, 2, 1, 1, 6, 1, 1, 2, 1, 6, 0, 5, 2, 2, 2, 10, 2, 10, 1, 6, 2, 6, 2, 6, 10, 10, 1, 10, 1, 10, 1, 6, 10, 10, 10, 1, 6, 2, 10, 10, 2, 1, 6, 0, 6, 1, 6, 2, 6, 6, 10, 1, 1, 2, 6, 10, 10, 10, 6, 10, 10, 10, 10, 1, 6, 2, 6, 1, 1, 1, 1, 6, 1, 2, 6, 2, 2, 6, 6, 2, 6, 10, 1, 10, 2, 6, 10, 10, 2, 4, 6, 2, 2, 1, 10, 1, 10, 1, 10, 2, 1, 10, 10, 6, 5, 1, 10, 1, 6, 2, 10, 10, 10, 2, 1, 2, 10, 1, 6, 1, 9, 6, 1, 1, 2, 2, 6, 2, 2, 6, 6, 10, 10, 6, 10, 10, 10, 2, 1, 1, 6, 6, 4, 10, 10, 10, 2, 2, 2, 2, 10, 10, 1, 1, 2, 10, 1, 10, 10, 6, 1, 6, 1, 10, 1, 1, 10, 1, 1, 1, 10, 10, 2, 2, 10, 1, 6, 2, 6, 1, 2, 6, 2, 6, 10, 6, 10, 1, 2, 10, 10, 10, 10, 6, 1, 2, 6, 2, 10, 10, 1, 2, 1, 10, 2, 10, 1, 1, 2, 10, 6, 2, 6, 2, 10, 6, 10, 1, 1, 10, 6, 1, 1, 6, 1, 1, 2, 10, 1, 2, 4, 10, 6, 6, 1, 2, 2, 1, 1, 6, 10, 6, 10, 1, 10, 1, 1, 1, 2, 1, 10, 2, 6, 2, 2, 6, 2, 1, 2, 1, 1, 1, 10, 2, 10, 6, 1, 1, 5, 6, 2, 6, 2, 10, 10, 2, 6, 1, 2, 2, 2, 10, 10, 9, 10, 1, 2, 1, 2, 10, 1, 10, 1, 2, 6, 6, 1, 9, 2, 1, 6, 1, 4, 10, 6, 10, 1, 6, 10, 1, 2, 2, 1, 10, 10, 10, 2, 6, 2, 6, 1, 1, 9, 2, 1, 1, 2, 10, 6, 6, 1, 6, 10, 10, 2, 1, 6, 1, 2, 6, 6, 1, 1, 6, 5, 6, 1, 6, 2, 10, 6, 1, 1, 2, 6, 6, 2, 1, 6, 2, 6, 2, 6, 6, 1, 6, 6, 1, 6, 6, 6, 6, 1, 6, 10, 6, 2, 10, 10, 10, 1, 10, 6, 5, 2, 10, 2, 6, 2, 6, 9, 6, 6, 10, 6, 1, 2, 2, 10, 6, 1, 2, 1, 10, 6, 6, 6, 1, 1, 6, 10, 2, 6, 1, 10, 2, 0, 2, 2, 10, 2, 2, 6, 1, 2, 2, 6, 2, 10, 2, 1, 6, 6, 2, 2, 6, 1, 6, 0, 6, 6, 1, 1, 6, 2, 2, 2, 2, 10, 10, 10, 2, 1, 2, 1, 1, 10, 1, 6, 6, 10, 6, 10, 2, 6, 10, 10, 6, 2, 1, 2, 2, 1, 1, 2, 1, 6, 9, 1, 10, 10, 6, 10, 1, 1, 6, 2, 0, 2, 1, 6, 1, 2, 10, 6, 10, 10, 2, 2, 1, 2, 10, 6, 10, 1, 1, 6, 1, 1, 1, 1, 2, 6, 2, 1, 10, 1, 10, 10, 10, 2, 1, 1, 10, 2, 6, 1, 2, 2, 2, 10, 6, 2, 9, 6, 2, 6, 10, 6, 10, 10, 6, 1, 10, 10, 10, 1, 1, 6, 10, 6, 10, 2, 2, 6, 10, 1, 10, 1, 1, 2, 1, 10, 6, 0, 2, 2, 6, 2, 1, 1, 1, 10, 1, 1, 10, 10, 2, 10, 1, 10, 8, 6, 1, 10, 6, 2, 10, 1, 1, 10, 6, 1, 6, 6, 6, 2, 2, 10, 6, 1, 6, 1, 10, 10, 10, 1, 10, 2, 6, 2, 10, 6, 5, 6, 10, 6, 2, 10, 10, 10, 2, 1, 2, 10, 6, 6, 2, 1, 2, 1, 10, 2, 1, 6, 2, 10, 6, 6, 2, 6, 6, 2, 6, 6, 2, 10, 6, 2, 2, 10, 1, 6, 6, 1, 1, 10, 4, 6, 2, 1, 6, 10, 2, 6, 1, 1, 2, 1, 6, 2, 10, 6, 10, 2, 10, 2, 10, 1, 1, 1, 6, 6, 10, 2, 10, 9, 10, 1, 6, 6, 2, 10, 1, 10, 6, 6, 2, 1, 6, 10, 2, 2, 10, 1, 2, 1, 1, 10, 1, 10, 10, 6, 2, 6, 2, 2, 10, 1, 6, 5, 2, 2, 2, 6, 10, 6, 6, 10, 1, 2, 10, 6, 5, 1, 4, 6, 2, 10, 6, 1, 6, 6, 6, 1, 1, 1, 1, 2, 2, 1, 6, 6, 6, 2, 6, 6, 2, 10, 2, 1, 1, 10, 2, 10, 10, 6, 2, 1, 2, 6, 6, 10, 10, 2, 6, 10, 1, 1, 2, 2, 10, 1, 2, 10, 10, 2, 6, 1, 10, 2, 2, 6, 6, 10, 1, 2, 6, 10, 2, 2, 2, 6, 2, 6, 6, 10, 9, 2, 10, 6, 6, 10, 2, 10, 6, 2, 1, 2, 6, 2, 6, 2, 0, 1, 2, 1, 6, 6, 1, 2, 2, 1, 2, 1, 6, 10, 10, 1, 5, 1, 1, 6, 1, 1, 4, 10, 2, 2, 5, 6, 1, 1, 2, 6, 6, 1, 6, 2, 2, 6, 2, 2, 10, 2, 10, 1, 6, 9, 6, 6, 10, 6, 6, 6, 1, 10, 1, 6, 6, 10, 10, 10, 2, 6, 10, 6, 1, 1, 10, 1, 2, 6, 2, 6, 1, 9, 1, 6, 6, 1, 1, 1, 10, 2, 10, 10, 6, 2, 10, 6, 6, 4, 9, 10, 10, 1, 1, 6, 1, 2, 1, 2, 2, 1, 2, 10, 2, 6, 2, 1, 10, 10, 10, 6, 1, 10, 1, 2, 1, 2, 1, 2, 10, 6, 6, 1, 2, 2, 2, 10, 2, 2, 2, 6, 1, 2, 6, 10, 6, 2, 10, 10, 1, 1, 10, 1, 4, 10, 2, 1, 2, 2, 1, 10, 5, 6, 1, 6, 2, 1, 2, 2, 6, 1, 6, 1, 6, 10, 6, 1, 2, 10, 8, 2, 6, 1, 6, 2, 6, 2, 6, 6, 6, 10, 1, 2, 10, 1, 1, 1, 6, 2, 6, 6, 10, 6, 1, 6, 2, 5, 10, 6, 10, 5, 1, 5, 10, 10, 2, 2, 2, 2, 10, 6, 1, 10, 1, 6, 10, 1, 10, 1, 6, 6, 6, 1, 2, 10, 10, 10, 1, 10, 2, 10, 1, 6, 10, 2, 2, 1, 6, 10, 6, 6, 1, 1, 6, 1, 10, 1, 1, 2, 6, 6, 10, 10, 10, 1, 2, 1, 6, 2, 2, 1, 10, 6, 10, 1, 1, 1, 1, 4, 2, 6, 6, 1, 1, 6, 6, 2, 2, 10, 1, 1, 10, 10, 1, 5, 10, 10, 1, 10, 6, 10, 0, 6, 1, 9, 6, 1, 1, 1, 6, 2, 6, 10, 6, 6, 1, 2, 9, 6, 1, 6, 6, 2, 10, 2, 1, 6, 6, 2, 1, 4, 6, 10, 2, 1, 1, 6, 6, 1, 6, 2, 6, 6, 10, 2, 10, 1, 10, 10, 2, 1, 10, 6, 10, 6, 2, 10, 10, 6, 6, 2, 10, 6, 6, 1, 9, 6, 10, 1, 1, 6, 1, 1, 1, 2, 10, 6, 10, 6, 2, 2, 10, 2, 6, 1, 10, 4, 2, 1, 6, 1, 1, 4, 6, 6, 2, 10, 10, 6, 6, 10, 10, 10, 10, 2, 1, 2, 10, 2, 1, 1, 10, 2, 2, 1, 2, 6, 1, 1, 6, 1, 2, 10, 2, 5, 2, 6, 1, 10, 1, 6, 1, 10, 10, 2, 1, 1, 2, 1, 6, 1, 6, 1, 6, 1, 6, 6, 6, 2, 2, 10, 10, 1, 6, 6, 1, 1, 1, 10, 2, 10, 2, 9, 2, 2, 6, 2, 1, 6, 2, 10, 6, 2, 2, 2, 10, 2, 1, 10, 2, 2, 6, 6, 6, 1, 6, 4, 2, 6, 10, 2, 10, 2, 2, 6, 1, 1, 2, 1, 10, 1, 10, 1, 10, 10, 2, 6, 6, 2, 2, 1, 1, 6, 6, 1, 2, 6, 1, 2, 2, 2, 10, 2, 1, 6, 6, 2, 2, 2, 2, 2, 1, 2, 10, 10, 10, 10, 6, 2, 1, 2, 2, 1, 10, 2, 10, 1, 6, 6, 6, 1, 6, 1, 1, 10, 2, 4, 6, 10, 10, 1, 5, 2, 6, 10, 1, 10, 6, 2, 6, 2, 10, 6, 10, 6, 2, 2, 2, 1, 1, 2, 2, 10, 1, 1, 6, 2, 0, 1, 10, 6, 1, 1, 0, 2, 10, 1, 6, 1, 10, 6, 2, 2, 1, 6, 1, 6, 2, 6, 2, 2, 0, 10, 1, 1, 2, 10, 10, 6, 1, 10, 10, 2, 2, 2, 10, 2, 2, 1, 6, 6, 1, 1, 5, 2, 6, 0, 2, 6, 6, 10, 10, 1, 6, 6, 6, 6, 10, 6, 1, 6, 6, 10, 10, 6, 2, 10, 10, 5, 10, 6, 10, 1, 1, 1, 2, 2, 6, 1, 1, 10, 2, 10, 1, 6, 2, 2, 6, 6, 6, 1, 2, 6, 10, 1, 1, 2, 10, 5, 6, 1, 6, 6, 6, 6, 1, 1, 2, 6, 2, 2, 6, 10, 1, 10, 10, 10, 10, 10, 1, 6, 10, 10, 10, 10, 2, 1, 6, 1, 10, 1, 1, 6, 10, 6, 10, 10, 6, 10, 10, 10, 1, 1, 1, 6, 1, 6, 10, 1, 0, 1, 10, 1, 1, 10, 4, 6, 10, 10, 2, 2, 1, 4, 2, 10, 2, 6, 10, 6, 10, 10, 2, 1, 2, 2, 1, 6, 6, 2, 2, 6, 1, 1, 2, 1, 1, 2, 10, 1, 1, 2, 2, 6, 1, 1, 6, 6, 2, 6, 2, 0, 6, 6, 1, 1, 1, 2, 10, 10, 6, 2, 2, 2, 2, 10, 2, 10, 2, 2, 6, 6, 6, 2, 6, 10, 1, 1, 10, 10, 1, 2, 2, 10, 6, 2, 10, 10, 1, 10, 0, 1, 1, 10, 10, 1, 1, 2, 5, 1, 1, 1, 6, 1, 10, 2, 2, 6, 1, 6, 60, 4, 40, 1, 2, 6, 1, 10, 10, 2, 10, 6, 2, 6, 10, 6, 2, 2, 1, 6, 6, 1, 10, 1, 6, 6, 2, 4, 10, 2, 10, 10, 10, 10, 1, 2, 10, 2, 1, 6, 1, 10, 6, 10, 6, 1, 1, 1, 2, 2, 6, 1, 2, 2, 2, 10, 10, 2, 10, 6, 10, 1, 2, 1, 10, 1, 6, 10, 10, 2, 10, 2, 1, 10, 4, 10, 1, 1, 2, 6, 6, 6, 1, 6, 6, 1, 10, 2, 1, 6, 2, 1, 2, 2, 1, 10, 2, 10, 2, 6, 2, 2, 2, 2, 10, 10, 2, 10, 10, 2, 10, 1, 2, 1, 1, 6, 1, 1, 1, 1, 0, 6, 2, 1, 2, 6, 2, 2, 6, 6, 6, 6, 2, 2, 1, 10, 6, 10, 10, 1, 2, 10, 2, 10, 10, 10, 2, 6, 10, 6, 10, 6, 2, 2, 10, 10, 6, 10, 2, 2, 10, 6, 2, 6, 1, 1, 2, 2, 10, 1, 6, 2, 6, 1, 1, 2, 6, 6, 10, 2, 10, 2, 1, 6, 1, 2, 2, 10, 6, 1, 2, 6, 1, 1, 10, 6, 2, 2, 6, 2, 9, 1, 2, 2, 6, 1, 6, 1, 2, 2, 1, 10, 6, 10, 6, 1, 6, 6, 2, 6, 6, 1, 10, 10, 1, 1, 1, 1, 10, 10, 6, 10, 10, 2, 2, 1, 2, 1, 10, 1, 1, 10, 10, 1, 1, 10, 2, 2, 1, 10, 2, 10, 10, 1, 6, 6, 10, 6, 6, 10, 1, 10, 10, 1, 1, 2, 1, 6, 1, 2, 2, 2, 1, 6, 6, 2, 1, 2, 6, 6, 2, 1, 2, 2, 10, 10, 2, 10, 2, 10, 1, 2, 6, 6, 10, 6, 1, 2, 10, 1, 2, 2, 2, 10, 10, 6, 2, 10, 6, 1, 6, 2, 1, 6, 9, 10, 1, 4, 1, 6, 2, 0, 10, 6, 2, 2, 2, 10, 6, 1, 2, 6, 6, 1, 1, 6, 1, 1, 1, 6, 1, 6, 10, 10, 10, 6, 6, 1, 2, 2, 6, 6, 6, 1, 2, 1, 10, 2, 1, 1, 10, 2, 6, 2, 10, 6, 2, 10, 6, 1, 2, 10, 1, 6, 6, 6, 6, 10, 2, 10, 2, 1, 10, 6, 1, 2, 6, 2, 2, 6, 2, 6, 6, 1, 10, 2, 6, 10, 2, 6, 10, 1, 1, 2, 1, 1, 2, 10, 2, 1, 6, 1, 2, 2, 1, 1, 10, 10, 6, 10, 2, 10, 6, 2, 10, 6, 6, 6, 2, 10, 6, 2, 1, 1, 10, 6, 2, 1, 2, 2, 6, 10, 2, 6, 2, 2, 6, 2, 6, 6, 1, 10, 1, 2, 1, 10, 1, 1, 10, 2, 2, 1, 2, 1, 1, 6, 4, 2, 6, 1, 2, 10, 1, 1, 10, 10, 1, 2, 1, 6, 6, 10, 6, 9, 6, 10, 10, 2, 10, 1, 1, 2, 2, 2, 1, 10, 1, 10, 6, 1, 1, 6, 2, 2, 10, 6, 2, 10, 6, 2, 1, 10, 1, 1, 1, 6, 2, 1, 6, 10, 1, 2, 6, 2, 10, 10, 1, 1, 10, 1, 10, 2, 10, 6, 1, 6, 2, 2, 6, 6, 10, 1, 1, 2, 10, 1, 6, 10, 10, 2, 2, 6, 6, 2, 6, 1, 1, 5, 2, 2, 10, 10, 1, 1, 1, 6, 2, 1, 2, 10, 10, 1, 10, 10, 6, 1, 10, 2, 1, 1, 2, 6, 10, 2, 2, 2, 1, 10, 1, 2, 6, 2, 2, 2, 2, 1, 1, 2, 6, 10, 5, 10, 1, 1, 2, 10, 10, 2, 2, 10, 10, 1, 6, 6, 1, 6, 10, 2, 2, 6, 6, 1, 10, 10, 6, 10, 10, 8, 1, 1, 6, 2, 1, 2, 2, 6, 10, 2, 2, 2, 10, 10, 10, 6, 2, 2, 10, 2, 1, 2, 1, 1, 6, 5, 2, 1, 1, 6, 2, 6, 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1, 2, 6, 1, 2, 10, 2, 2, 10, 10, 10, 10, 1, 1, 6, 10, 10, 6, 1, 10, 1, 2, 6, 1, 10, 6, 10, 2, 6, 10, 1, 2, 1, 1, 6, 1, 2, 6, 2, 6, 2, 5, 1, 2, 2, 2, 1, 2, 6, 2, 6, 1, 6, 2, 1, 6, 1, 6, 6, 1, 2, 6, 6, 2, 2, 1, 1, 6, 1, 2, 2, 1, 2, 10, 6, 9, 1, 10, 6, 1, 1, 10, 1, 1, 1, 1, 2, 1, 10, 6, 2, 10, 2, 6, 6, 6, 1, 10, 1, 6, 1, 10, 2, 1, 1, 10, 10, 6, 0, 1, 2, 6, 2, 10, 1, 2, 1, 1, 6, 6, 1, 1, 2, 1, 1, 2, 5, 1, 2, 1, 1, 6, 2, 6, 2, 6, 6, 10, 10, 10, 1, 1, 1, 10, 2, 4, 6, 10, 1, 6, 10, 2, 1, 2, 1, 10, 1, 0, 6, 10, 6, 10, 6, 1, 6, 1, 10, 2, 6, 6, 6, 4, 2, 6, 6, 5, 1, 10, 0, 10, 10, 2, 6, 10, 1, 10, 6, 1, 6, 6, 10, 1, 1, 2, 1, 6, 2, 2, 10, 2, 6, 6, 10, 1, 2, 2, 6, 10, 6, 12, 1, 10, 2, 2, 2, 1, 6, 1, 10, 2, 1, 1, 10, 2, 10, 2, 10, 2, 10, 2, 2, 2, 10, 10, 1, 2, 6, 1, 10, 2, 6, 1, 1, 2, 1, 1, 10, 2, 10, 10, 6, 10, 6, 10, 10, 2, 6, 2, 1, 2, 6, 6, 6, 1, 10, 6, 10, 1, 1, 1, 1, 6, 1, 6, 10, 2, 10, 10, 10, 6, 6, 1, 1, 2, 2, 6, 1, 6, 6, 1, 6, 6, 1, 6, 6, 6, 10, 6, 4, 10, 10, 1, 10, 2, 6, 6, 1, 5, 10, 6, 10, 0, 10, 1, 1, 10, 2, 1, 6, 10, 1, 10, 2, 4, 2, 1, 2, 2, 1, 10, 10, 1, 10, 2, 6, 2, 6, 6, 10, 10, 2, 1, 1, 10, 10, 2, 1, 6, 2, 2, 6, 1, 2, 6, 2, 1, 6, 10, 6, 9, 6, 4, 2, 2, 10, 2, 1, 6, 10, 10, 1, 6, 6, 1, 10, 2, 1, 1, 10, 6, 1, 9, 2, 10, 6, 10, 10, 2, 6, 10, 10, 10, 1, 1, 2, 1, 2, 1, 10, 6, 2, 6, 6, 4, 6, 1, 6, 10, 2, 10, 2, 1, 6, 1, 1, 1, 1, 10, 2, 10, 1, 6, 10, 6, 10, 10, 10, 1, 6, 6, 6, 6, 2, 6, 1, 2, 10, 2, 2, 2, 6, 6, 10, 10, 6, 6, 6, 10, 10, 1, 10, 1, 2, 6, 10, 10, 6, 2, 10, 6, 2, 9, 2, 5, 2, 1, 1, 6, 2, 6, 1, 2, 1, 1, 2, 2, 10, 6, 6, 2, 2, 2, 10, 2, 2, 1, 10, 1, 1, 2, 6, 2, 6, 1, 6, 6, 2, 1, 1, 2, 10, 6, 6, 6, 10, 1, 2, 10, 2, 6, 6, 1, 10, 10, 10, 1, 1, 2, 2, 1, 10, 10, 1, 4, 6, 10, 1, 10, 1, 2, 2, 2, 1, 2, 6, 1, 10, 2, 2, 2, 2, 2, 10, 6, 6, 1, 2, 6, 2, 2, 10, 10, 10, 6, 6, 2, 2, 10, 1, 2, 10, 10, 10, 6, 10, 6, 10, 10, 1, 6, 10, 2, 1, 10, 2, 10, 1, 2, 2, 1, 2, 6, 2, 1, 10, 4, 6, 1, 2, 2, 2, 6, 1, 2, 4, 10, 2, 6, 6, 6, 6, 2, 2, 2, 2, 1, 6, 6, 10, 2, 6, 1, 2, 1, 2, 2, 2, 2, 1, 2, 6, 9, 6, 2, 1, 1, 6, 6, 6, 2, 6, 6, 1, 1, 1, 9, 10, 1, 2, 1, 1, 6, 2, 6, 6, 10, 1, 10, 10, 2, 10, 10, 1, 1, 1, 10, 10, 10, 1, 10, 10, 1, 9, 2, 10, 9, 2, 1, 5, 6, 6, 10, 1, 6, 1, 10, 6, 1, 2, 6, 2, 2, 2, 10, 6, 2, 2, 2, 6, 1, 10, 1, 5, 6, 6, 6, 10, 10, 6, 2, 1, 6, 10, 2, 10, 10, 1, 1, 1, 1, 6, 2, 10, 10, 6, 6, 6, 2, 1, 4, 2, 2, 2, 1, 10, 6, 1, 6, 6, 2, 2, 6, 6, 1, 6, 1, 1, 6, 6, 0, 10, 1, 2, 2, 4, 2, 10, 10, 6, 5, 10, 6, 1, 6, 10, 2, 6, 6, 1, 10, 2, 6, 2, 2, 1, 10, 2, 9, 6, 1, 6, 6, 9, 1, 4, 5, 6, 0, 4, 1, 2, 2, 10, 2, 2, 2, 10, 6, 1, 6, 1, 2, 1, 10, 10, 6, 2, 6, 1, 6, 6, 2, 1, 2, 10, 6, 2, 1, 10, 1, 1, 4, 10, 1, 6, 6, 6, 6, 1, 10, 6, 2, 1, 2, 6, 10, 6, 1, 1, 10, 10, 6, 2, 6, 10, 2, 1, 10, 2, 6, 5, 1, 1, 6, 1, 1, 2, 6, 1, 6, 2, 1, 6, 2, 10, 2, 6, 10, 6, 10, 10, 10, 6, 10, 2, 6, 2, 10, 10, 2, 2, 10, 10, 10, 2, 2, 10, 2, 10, 10, 10, 6, 2, 1, 10, 10, 6, 10, 6, 1, 10, 1, 2, 6, 1, 10, 10, 2, 6, 1, 2, 2, 2, 2, 6, 0, 6, 2, 10, 2, 1, 10, 1, 6, 10, 6, 10, 2, 6, 1, 10, 1, 2, 6, 1, 1, 2, 6, 2, 6, 6, 1, 1, 1, 6, 6, 2, 1, 6, 6, 6, 6, 6, 6, 2, 10, 1, 1, 1, 2, 10, 2, 2, 2, 10, 2, 6, 6, 1, 2, 1, 2, 6, 2, 6, 6, 10, 2, 6, 6, 1, 6, 2, 0, 6, 1, 5, 10, 2, 10, 2, 2, 6, 1, 10, 2, 2, 2, 2, 2, 10, 2, 10, 1, 2, 1, 2, 1, 2, 10, 10, 2, 1, 10, 2, 10, 6, 10, 2, 2, 6, 1, 10, 6, 1, 1, 2, 10, 2, 10, 2, 2, 9, 1, 10, 10, 10, 10, 1, 6, 2, 1, 1, 2, 6, 1, 6, 1, 6, 10, 1, 6, 10, 2, 6, 1, 1, 1, 9, 10, 6, 2, 6, 2, 6, 6, 1, 2, 10, 2, 1, 10, 6, 2, 6, 1, 10, 10, 1, 2, 6, 1, 2, 6, 1, 2, 6, 2, 10, 2, 10, 6, 6, 2, 2, 1, 10, 1, 1, 6, 10, 1, 2, 6, 10, 1, 10, 6, 10, 6, 2, 1, 1, 1, 6, 6, 1, 1, 2, 2, 1, 1, 2, 10, 2, 6, 2, 2, 10, 6, 10, 1, 10, 6, 6, 10, 2, 5, 6, 6, 6, 2, 10, 6, 2, 1, 10, 1, 1, 6, 2, 10, 1, 1, 6, 2, 1, 6, 2, 1, 2, 6, 10, 2, 6, 6, 6, 6, 1, 1, 1, 2, 6, 1, 6, 2, 6, 2, 5, 1, 2, 1, 1, 1, 6, 6, 2, 2, 1, 10, 1, 6, 2, 2, 6, 2, 2, 1, 2, 10, 1, 10, 2, 6, 1, 1, 1, 1, 2, 6, 2, 6, 10, 6, 2, 10, 10, 1, 10, 6, 6, 1, 2, 6, 4, 2, 10, 1, 1, 10, 2, 1, 1, 2, 6, 2, 1, 2, 6, 1, 4, 1, 10, 6, 6, 6, 6, 1, 1, 1, 6, 10, 1, 10, 6, 2, 6, 10, 1, 6, 1, 1, 1, 1, 10, 2, 1, 6, 2, 0, 2, 10, 6, 2, 1, 0, 6, 1, 6, 6, 2, 6, 6, 2, 1, 10, 9, 6, 2, 1, 10, 1, 10, 10, 2, 6, 1, 2, 10, 6, 6, 6, 6, 6, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 6, 1, 4, 1, 2, 6, 1, 1, 2, 6, 6, 10, 1, 2, 6, 1, 1, 10, 1, 4, 2, 10, 4, 2, 10, 10, 10, 10, 6, 10, 6, 1, 1, 6, 2, 1, 10, 2, 10, 2, 1, 10, 6, 2, 10, 2, 1, 6, 1, 6, 10, 10, 10, 2, 6, 2, 6, 1, 10, 1, 6, 2, 2, 6, 1, 10, 6, 1, 10, 10, 1, 6, 6, 1, 6, 10, 6, 6, 10, 2, 6, 2, 10, 2, 6, 10, 10, 1, 6, 6, 2, 2, 2, 1, 2, 10, 2, 6, 6, 6, 1, 6, 6, 2, 10, 9, 6, 2, 10, 6, 1, 6, 2, 6, 1, 2, 2, 2, 2, 1, 6, 6, 6, 6, 10, 6, 6, 10, 10, 2, 10, 2, 6, 9, 1, 2, 6, 1, 2, 10, 1, 6, 10, 10, 6, 6, 2, 10, 1, 10, 2, 2, 10, 1, 6, 2, 10, 10, 1, 10, 1, 6, 10, 10, 2, 10, 2, 10, 6, 6, 10, 10, 10, 6, 6, 1, 2, 10, 6, 2, 1, 2, 6, 10, 9, 6, 1, 2, 2, 1, 6, 9, 2, 10, 6, 1, 1, 6, 10, 1, 10, 1, 10, 9, 5, 1, 1, 6, 10, 10, 10, 1, 10, 2, 6, 1, 6, 1, 10, 1, 1, 10, 1, 1, 10, 2, 2, 1, 6, 6, 6, 6, 1, 6, 1, 2, 2, 2, 6, 1, 10, 1, 6, 1, 2, 10, 1, 10, 6, 6, 1, 10, 10, 10, 2, 6, 4, 2, 6, 10, 2, 1, 2, 2, 10, 1, 2, 10, 10, 1, 2, 6, 10, 6, 1, 6, 1, 6, 2, 10, 5, 1, 6, 10, 10, 2, 10, 2, 1, 10, 1, 1, 1, 6, 1, 2, 1, 0, 1, 10, 10, 2, 2, 1, 2, 6, 6, 6, 1, 1, 10, 1, 1, 6, 2, 10, 10, 1, 6, 6, 1, 2, 6, 1, 1, 10, 1, 1, 1, 2, 2, 6, 1, 10, 6, 1, 1, 10, 1, 10, 10, 10, 10, 1, 6, 10, 2, 10, 1, 1, 6, 6, 6, 2, 10, 1, 10, 2, 1, 1, 1, 10, 1, 1, 2, 10, 1, 9, 6, 2, 10, 2, 10, 6, 1, 6, 1, 10, 1, 10, 10, 6, 6, 1, 10, 1, 1, 1, 1, 6, 1, 6, 10, 10, 10, 10, 1, 1, 6, 6, 10, 2, 2, 10, 2, 2, 4, 2, 6, 2, 1, 2, 1, 2, 10, 2, 2, 10, 2, 1, 6, 2, 4, 2, 1, 2, 2, 10, 10, 6, 1, 6, 2, 1, 6, 10, 6, 2, 2, 6, 10, 10, 2, 4, 10, 10, 2, 1, 6, 6, 2, 10, 2, 10, 2, 6, 2, 2, 2, 6, 6, 2, 1, 4, 1, 2, 1, 10, 6, 10, 10, 1, 1, 6, 10, 6, 6, 1, 1, 2, 9, 10, 6, 6, 1, 10, 2, 1, 1, 2, 2, 4, 6, 6, 2, 10, 2, 6, 2, 10, 10, 2, 10, 5, 2, 6, 1, 6, 6, 6, 10, 6, 10, 1, 2, 10, 6, 1, 1, 6, 6, 2, 2, 1, 1, 6, 9, 6, 2, 2, 10, 10, 2, 6, 2, 10, 1, 1, 1, 6, 1, 6, 10, 6, 10, 6, 1, 1, 1, 1, 1, 1, 10, 1, 2, 10, 6, 6, 6, 10, 1, 2, 6, 2, 10, 1, 6, 5, 2, 10, 1, 6, 10, 1, 2, 5, 10, 0, 1, 6, 1, 2, 1, 10, 10, 10, 10, 10, 2, 10, 10, 2, 10, 2, 2, 6, 10, 6, 10, 10, 10, 10, 2, 1, 10, 6, 6, 2, 6, 2, 1, 6, 2, 1, 6, 6, 6, 6, 6, 2, 10, 10, 6, 10, 2, 1, 2, 1, 4, 1, 1, 1, 10, 6, 10, 1, 1, 2, 10, 6, 6, 6, 10, 10, 6, 1, 10, 2, 6, 10, 6, 6, 2, 6, 1, 10, 6, 10, 2, 10, 2, 10, 1, 6, 6, 1, 10, 10, 1, 2, 1, 6, 1, 10, 1, 10, 1, 1, 10, 2, 2, 10, 10, 10, 6, 2, 10, 6, 2, 2, 6, 1, 2, 6, 2, 6, 2, 9, 10, 1, 6, 10, 1, 6, 2, 2, 1, 4, 0, 2, 1, 10, 2, 2, 6, 1, 6, 2, 10, 9, 0, 2, 6, 1, 1, 10, 10, 10, 6, 10, 2, 1, 2, 10, 10, 1, 6, 1, 1, 10, 1, 6, 9, 0, 6, 2, 10, 2, 6, 10, 1, 1, 2, 1, 2, 1, 1, 1, 10, 1, 2, 2, 2, 6, 6, 6, 10, 10, 10, 6, 1, 6, 6, 10, 6, 10, 1, 1, 6, 1, 6, 2, 2, 10, 2, 1, 6, 6, 6, 6, 2, 2, 1, 9, 2, 1, 6, 10, 2, 2, 1, 1, 2, 6, 1, 1, 9, 6, 6, 6, 6, 10, 10, 10, 2, 2, 2, 2, 6, 1, 10, 1, 10, 10, 6, 10, 2, 2, 1, 2, 1, 6, 10, 4, 1, 1, 10, 2, 2, 1, 1, 10, 1, 1, 1, 1, 1, 2, 6, 1, 2, 10, 2, 1, 1, 1, 6, 2, 10, 1, 2, 10, 10, 10, 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10, 5, 6, 2, 2, 1, 1, 10, 2, 6, 10, 10, 1, 1, 9, 6, 1, 2, 10, 1, 2, 1, 6, 2, 6, 10, 6, 2, 1, 10, 4, 6, 6, 1, 1, 6, 2, 6, 6, 6, 1, 6, 10, 6, 2, 1, 10, 2, 1, 10, 6, 2, 1, 2, 2, 10, 2, 1, 2, 2, 2, 2, 2, 2, 2, 6, 1, 2, 10, 2, 1, 2, 6, 2, 2, 1, 2, 6, 0, 1, 2, 6, 6, 2, 10, 6, 6, 6, 6, 2, 2, 10, 10, 1, 2, 10, 2, 6, 1, 1, 10, 6, 1, 6, 6, 6, 1, 6, 1, 10, 2, 10, 10, 1, 10, 6, 2, 2, 6, 6, 6, 1, 0, 2, 10, 1, 9, 6, 6, 2, 1, 1, 1, 2, 1, 1, 1, 1, 10, 2, 1, 2, 2, 2, 2, 10, 2, 6, 1, 6, 4, 10, 2, 6, 6, 2, 6, 10, 6, 1, 2, 1, 2, 10, 6, 1, 1, 10, 6, 6, 2, 5, 1, 10, 0, 1, 1, 10, 1, 2, 10, 10, 10, 6, 6, 10, 1, 6, 1, 2, 2, 6, 10, 6, 6, 2, 6, 6, 2, 6, 2, 6, 6, 10, 10, 6, 10, 6, 2, 2, 1, 1, 2, 10, 2, 2, 50, 6, 6, 6, 1, 2, 10, 10, 2, 10, 2, 6, 1, 6, 1, 10, 2, 10, 1, 2, 6, 9, 6, 10, 2, 6, 1, 1, 2, 2, 10, 10, 6, 4, 10, 6, 2, 10, 10, 1, 6, 6, 2, 6, 2, 10, 2, 6, 6, 10, 1, 6, 2, 10, 10, 2, 10, 2, 2, 6, 1, 5, 6, 10, 6, 6, 6, 10, 6, 2, 1, 6, 1, 2, 2, 2, 10, 1, 2, 1, 1, 2, 6, 2, 1, 6, 6, 6, 1, 6, 6, 2, 6, 10, 1, 6, 2, 10, 10, 2, 1, 1, 2, 1, 6, 1, 6, 2, 10, 2, 2, 10, 2, 2, 10, 1, 10, 10, 1, 6, 10, 2, 1, 1, 1, 10, 4, 10, 6, 10, 2, 10, 10, 1, 2, 10, 1, 1, 6, 1, 6, 1, 2, 6, 6, 1, 2, 1, 10, 1, 1, 1, 1, 10, 10, 6, 2, 6, 2, 10, 2, 2, 6, 6, 1, 2, 10, 2, 6, 1, 9, 10, 2, 6, 2, 6, 6, 1, 2, 2, 10, 10, 6, 1, 6, 2, 10, 2, 10, 1, 1, 10, 2, 1, 6, 6, 6, 2, 10, 2, 10, 10, 1, 6, 6, 2, 1, 1, 10, 1, 10, 2, 10, 10, 2, 6, 10, 10, 2, 1, 2, 1, 2, 1, 1, 4, 2, 10, 1, 6, 1, 1, 6, 10, 6, 10, 2, 2, 1, 2, 10, 10, 10, 2, 10, 1, 1, 6, 2, 10, 10, 2, 10, 0, 6, 10, 6, 2, 2, 1, 2, 6, 6, 10, 1, 2, 1, 1, 2, 10, 6, 2, 6, 2, 2, 10, 10, 1, 6, 1, 6, 9, 1, 2, 1, 6, 10, 2, 10, 10, 2, 2, 1, 2, 6, 1, 6, 6, 10, 6, 1, 1, 10, 2, 1, 2, 6, 10, 1, 10, 2, 1, 2, 6, 1, 6, 10, 1, 1, 10, 1, 1, 6, 6, 10, 10, 6, 6, 1, 1, 10, 10, 1, 6, 6, 10, 2, 6, 1, 1, 1, 10, 2, 2, 2, 6, 1, 5, 1, 10, 1, 6, 2, 1, 10, 0, 2, 6, 6, 6, 1, 2, 10, 2, 10, 10, 2, 1, 5, 6, 10, 10, 6, 6, 5, 10, 2, 2, 10, 10, 2, 10, 10, 10, 6, 6, 2, 2, 2, 10, 10, 1, 10, 1, 10, 1, 1, 1, 2, 6, 2, 2, 1, 10, 10, 6, 10, 10, 10, 0, 10, 10, 1, 10, 6, 10, 10, 1, 1, 2, 2, 6, 2, 1, 6, 1, 6, 10, 2, 1, 0, 10, 10, 2, 2, 10, 2, 10, 1, 2, 10, 2, 6, 1, 9, 1, 2, 1, 2, 2, 1, 5, 2, 0, 2, 10, 1, 10, 6, 1, 1, 2, 6, 10, 1, 1, 1, 6, 2, 10, 10, 1, 1, 2, 9, 10, 6, 1, 10, 1, 2, 6, 1, 2, 2, 0, 2, 2, 2, 10, 6, 2, 2, 6, 10, 2, 9, 10, 2, 2, 6, 6, 2, 1, 1, 2, 10, 9, 2, 10, 6, 2, 6, 1, 1, 10, 6, 10, 1, 2, 1, 10, 10, 10, 6, 1, 1, 2, 10, 6, 2, 1, 2, 6, 10, 2, 10, 2, 6, 1, 6, 1, 1, 6, 6, 2, 10, 10, 10, 10, 6, 6, 10, 2, 1, 2, 2, 10, 10, 10, 2, 2, 6, 10, 5, 10, 10, 10, 6, 6, 6, 2, 10, 6, 6, 10, 1, 6, 6, 10, 6, 0, 2, 6, 6, 6, 6, 10, 6, 2, 1, 6, 1, 10, 1, 6, 1, 2, 2, 2, 1, 1, 1, 10, 6, 6, 1, 6, 1, 10, 6, 2, 2, 10, 2, 2, 6, 1, 2, 1, 6, 6, 10, 2, 2, 2, 1, 2, 6, 10, 4, 2, 1, 2, 1, 6, 10, 1, 6, 6, 10, 2, 10, 6, 6, 1, 2, 10, 10, 1, 2, 6, 4, 2, 6, 2, 5, 5, 2, 6, 2, 4, 6, 10, 10, 1, 2, 10, 10, 1, 1, 2, 6, 1, 6, 2, 10, 2, 2, 5, 1, 6, 2, 2, 2, 6, 2, 2, 2, 10, 6, 10, 1, 2, 2, 0, 1, 1, 2, 1, 1, 6, 1, 1, 10, 10, 2, 6, 6, 2, 6, 2, 0, 6, 6, 10, 4, 1, 6, 2, 10, 2, 2, 1, 10, 1, 1, 6, 2, 10, 1, 10, 6, 2, 10, 6, 2, 6, 10, 1, 6, 1, 2, 6, 2, 2, 2, 6, 2, 10, 6, 6, 10, 6, 10, 6, 2, 2, 1, 10, 10, 10, 10, 0, 1, 6, 2, 10, 2, 1, 6, 10, 10, 6, 3, 6, 6, 6, 60, 2, 10, 6, 2, 2, 1, 9, 2, 1, 5, 1, 10, 10, 6, 1, 1, 10, 1, 10, 10, 1, 1, 6, 1, 2, 2, 6, 2, 10, 6, 6, 1, 6, 10, 1, 1, 10, 10, 4, 1, 1, 2, 1, 2, 1, 6, 2, 10, 1, 1, 10, 6, 5, 10, 6, 1, 1, 6, 2, 10, 10, 10, 1, 1, 6, 10, 1, 1, 1, 1, 6, 6, 2, 6, 2, 6, 6, 1, 2, 10, 10, 10, 6, 1, 10, 2, 2, 1, 6, 10, 6, 10, 10, 6, 1, 2, 6, 1, 1, 6, 6, 10, 2, 10, 6, 6, 1, 1, 5, 6, 6, 1, 6, 1, 2, 1, 2, 10, 10, 4, 6, 1, 1, 6, 2, 10, 6, 2, 10, 2, 2, 2, 10, 1, 10, 2, 1, 1, 10, 1, 10, 1, 2, 1, 1, 1, 1, 6, 2, 1, 6, 10, 6, 1, 1, 10, 6, 10, 9, 1, 2, 1, 2, 1, 2, 10, 5, 2, 6, 1, 1, 10, 10, 2, 1, 2, 2, 6, 6, 1, 2, 6, 10, 10, 6, 2, 1, 2, 1, 2, 2, 1, 6, 6, 0, 10, 5, 6, 6, 10, 2, 6, 6, 10, 1, 1, 10, 1, 2, 6, 6, 10, 2, 6, 6, 0, 6, 10, 10, 1, 6, 2, 10, 6, 1, 6, 2, 10, 1, 1, 6, 1, 6, 2, 2, 10, 2, 0, 1, 1, 10, 10, 10, 1, 6, 10, 10, 10, 6, 2, 2, 1, 10, 10, 1, 6, 1, 2, 10, 1, 2, 1, 2, 2, 2, 6, 2, 10, 2, 2, 1, 10, 10, 2, 2, 2, 0, 2, 2, 6, 10, 1, 2, 4, 1, 10, 2, 2, 2, 2, 4, 6, 2, 2, 6, 2, 2, 10, 1, 10, 6, 1, 1, 6, 1, 1, 1, 1, 2, 1, 1, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 10, 2, 6, 6, 2, 2, 6, 6, 2, 1, 10, 1, 6, 10, 1, 3, 6, 1, 6, 6, 1, 10, 1, 10, 6, 2, 2, 2, 6, 10, 1, 5, 2, 2, 10, 6, 10, 1, 2, 6, 10, 1, 10, 6, 1, 2, 1, 10, 6, 10, 2, 6, 2, 6, 1, 6, 10, 2, 1, 1, 1, 2, 6, 10, 1, 1, 2, 10, 6, 1, 10, 2, 6, 6, 2, 2, 2, 10, 1, 2, 0, 4, 10, 10, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 4, 1, 10, 6, 1, 2, 2, 6, 6, 1, 2, 2, 10, 2, 2, 10, 6, 2, 2, 2, 1, 2, 6, 4, 6, 6, 1, 2, 6, 6, 1, 6, 0, 6, 1, 1, 1, 10, 2, 1, 10, 1, 9, 10, 9, 10, 10, 9, 1, 10, 2, 10, 2, 2, 6, 10, 10, 6, 2, 2, 6, 9, 6, 6, 1, 6, 6, 10, 1, 1, 10, 10, 2, 6, 2, 2, 2, 10, 1, 6, 1, 6, 2, 10, 2, 2, 1, 6, 1, 10, 2, 6, 6, 9, 2, 6, 1, 2, 1, 1, 1, 1, 2, 1, 10, 1, 10, 10, 10, 6, 2, 2, 1, 2, 1, 10, 1, 1, 10, 6, 1, 1, 6, 1, 2, 2, 10, 6, 1, 1, 2, 1, 10, 6, 6, 6, 10, 2, 2, 10, 1, 6, 10, 6, 10, 2, 6, 6, 2, 1, 6, 2, 1, 10, 1, 2, 1, 1, 10, 6, 1, 10, 1, 10, 10, 6, 1, 10, 6, 6, 10, 2, 1, 2, 10, 6, 1, 1, 10, 1, 6, 10, 10, 2, 10, 2, 6, 5, 1, 6, 6, 10, 1, 6, 2, 10, 6, 2, 2, 1, 2, 2, 1, 1, 2, 2, 6, 10, 10, 10, 1, 2, 6, 10, 2, 6, 4, 10, 1, 6, 2, 6, 1, 10, 2, 6, 6, 1, 2, 10, 1, 6, 10, 1, 2, 10, 1, 6, 2, 6, 2, 6, 1, 1, 2, 6, 1, 2, 1, 1, 2, 2, 2, 10, 6, 1, 6, 2, 6, 1, 6, 1, 1, 1, 6, 2, 6, 10, 2, 10, 1, 6, 1, 6, 10, 2, 2, 1, 6, 6, 1, 0, 6, 6, 10, 1, 10, 1, 2, 10, 10, 10, 1, 2, 1, 2, 2, 1, 10, 1, 10, 1, 1, 6, 10, 1, 1, 10, 1, 6, 1, 6, 6, 2, 6, 6, 10, 2, 2, 10, 1, 10, 5, 2, 6, 6, 10, 2, 6, 1, 1, 2, 6, 1, 10, 10, 2, 10, 2, 1, 1, 5, 2, 10, 1, 1, 1, 1, 2, 1, 10, 2, 1, 1, 6, 1, 1, 2, 1, 1, 1, 1, 6, 10, 6, 5, 1, 1, 2, 6, 10, 10, 0, 1, 6, 6, 10, 10, 6, 1, 1, 1, 1, 1, 2, 6, 1, 6, 6, 2, 1, 0, 2, 1, 2, 10, 2, 6, 10, 1, 2, 1, 2, 10, 1, 10, 1, 2, 10, 2, 1, 1, 6, 1, 10, 2, 2, 10, 10, 0, 10, 2, 6, 10, 6, 10, 1, 1, 6, 10, 6, 1, 6, 2, 1, 10, 1, 1, 1, 10, 2, 6, 10, 2, 6, 2, 6, 10, 2, 6, 2, 6, 10, 1, 2, 1, 10, 10, 2, 6, 10, 2, 2, 6, 6, 10, 6, 6, 1, 10, 2, 1, 6, 1, 1, 10, 10, 2, 6, 1, 10, 6, 2, 10, 0, 2, 1, 1, 2, 10, 6, 10, 2, 1, 2, 1, 6, 1, 6, 1, 6, 1, 10, 6, 10, 1, 1, 2, 1, 2, 6, 6, 6, 6, 6, 6, 2, 1, 6, 1, 0, 2, 1, 2, 2, 9, 6, 2, 1, 1, 2, 1, 10, 10, 10, 10, 1, 1, 6, 1, 6, 1, 5, 10, 10, 6, 10, 2, 1, 1, 1, 6, 10, 6, 2, 10, 2, 2, 9, 6, 2, 10, 2, 10, 6, 10, 6, 6, 1, 6, 2, 2, 10, 10, 1, 10, 6, 10, 10, 10, 10, 2, 6, 10, 10, 2, 2, 6, 10, 10, 10, 6, 1, 1, 10, 2, 6, 2, 1, 6, 9, 2, 1, 10, 2, 4, 0, 2, 1, 1, 1, 2, 1, 1, 6, 2, 1, 2, 1, 1, 1, 6, 2, 10, 2, 6, 2, 1, 1, 10, 1, 2, 2, 10, 6, 6, 6, 6, 1, 1, 4, 10, 4, 2, 6, 1, 10, 2, 6, 1, 10, 6, 6, 1, 10, 10, 2, 1, 10, 10, 2, 2, 4, 6, 10, 2, 2, 1, 1, 10, 2, 6, 6, 1, 10, 6, 10, 2, 10, 1, 1, 2, 1, 1, 1, 10, 2, 2, 1, 2, 2, 2, 1, 1, 6, 10, 2, 2, 1, 6, 2, 10, 6, 1, 2, 6, 10, 2, 6, 10, 1, 0, 10, 6, 2, 10, 6, 2, 2, 1, 10, 10, 5, 10, 2, 10, 2, 2, 2, 10, 10, 10, 1, 1, 2, 6, 6, 1, 6, 6, 1, 2, 1, 2, 10, 6, 2, 2, 6, 10, 1, 2, 6, 2, 6, 2, 10, 2, 10, 2, 10, 10, 1, 10, 1, 6, 9, 2, 2, 1, 1, 2, 10, 2, 1, 10, 6, 1, 10, 6, 2, 1, 10, 6, 10, 6, 1, 10, 2, 10, 6, 2, 6, 1, 6, 5, 0, 1, 10, 1, 6, 2, 2, 10, 1, 1, 10, 10, 1, 6, 2, 1, 6, 1, 2, 10, 1, 6, 2, 10, 9, 2, 6, 6, 1, 2, 2, 6, 1, 1, 6, 10, 1, 10, 2, 6, 1, 2, 10, 6, 2, 2, 10, 2, 6, 2, 6, 8, 2, 6, 10, 10, 2, 10, 2, 6, 1, 10, 1, 6, 10, 2, 6, 1, 6, 10, 1, 2, 6, 2, 2, 5, 1, 10, 10, 10, 6, 10, 6, 1, 1, 10, 10, 1, 6, 6, 6, 2, 1, 2, 1, 6, 6, 6, 10, 1, 6, 10, 1, 2, 1, 6, 10, 10, 2, 6, 6, 6, 6, 2, 2, 10, 2, 2, 2, 6, 2, 2, 10, 2, 1, 6, 10, 1, 10, 2, 1, 1, 1, 6, 10, 1, 2, 1, 10, 10, 10, 6, 10, 1, 1, 10, 1, 1, 2, 10, 10, 1, 10, 10, 2, 6, 1, 10, 10, 2, 6, 1, 6, 2, 2, 10, 10, 10, 6, 0, 2, 1, 2, 1, 9, 2, 10, 6, 6, 1, 10, 1, 1, 6, 6, 2, 1, 6, 10, 6, 2, 1, 1, 1, 1, 2, 10, 1, 1, 1, 1, 2, 10, 6, 4, 10, 2, 10, 2, 2, 6, 6, 9, 10, 6, 10, 2, 5, 2, 6, 2, 1, 1, 1, 2, 2, 1, 2, 10, 1, 10, 1, 10, 2, 6, 10, 6, 2, 10, 1, 10, 10, 10, 1, 10, 6, 10, 10, 6, 6, 2, 6, 10, 2, 2, 10, 1, 6, 6, 1, 1, 6, 2, 10, 6, 6, 0, 1, 10, 10, 6, 1, 10, 6, 1, 10, 2, 2, 10, 10, 2, 6, 2, 10, 2, 6, 6, 6, 2, 1, 2, 6, 2, 9, 10, 10, 2, 6, 6, 2, 2, 2, 6, 10, 1, 1, 1, 6, 1, 1, 6, 1, 6, 2, 1, 2, 1, 6, 1, 10, 10, 1, 1, 1, 2, 6, 10, 1, 1, 1, 2, 6, 6, 1, 10, 10, 1, 6, 0, 2, 10, 6, 2, 1, 6, 9, 1, 6, 1, 10, 6, 6, 1, 10, 1, 10, 10, 10, 2, 10, 1, 2, 2, 6, 1, 6, 2, 2, 10, 5, 1, 1, 1, 6, 1, 6, 1, 0, 1, 1, 2, 1, 1, 10, 10, 10, 10, 1, 6, 6, 1, 6, 6, 10, 2, 1, 1, 1, 1, 10, 2, 1, 1, 1, 2, 1, 2, 6, 10, 2, 6, 1, 1, 1, 6, 6, 10, 2, 10, 6, 2, 1, 10, 2, 6, 6, 2, 1, 6, 1, 10, 6, 10, 1, 6, 10, 1, 1, 2, 6, 2, 10, 6, 10, 1, 1, 1, 2, 2, 2, 6, 1, 1, 1, 6, 10, 1, 1, 6, 2, 2, 6, 1, 1, 10, 1, 1, 1, 2, 1, 10, 10, 10, 1, 10, 10, 6, 2, 1, 10, 2, 6, 1, 6, 10, 6, 6, 2, 6, 1, 1, 10, 10, 6, 1, 2, 2, 2, 6, 10, 2, 2, 6, 6, 6, 2, 1, 2, 6, 10, 2, 2, 10, 10, 10, 6, 6, 6, 1, 6, 2, 2, 6, 1, 2, 1, 2, 6, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 6, 10, 2, 2, 2, 10, 10, 2, 2, 10, 10, 1, 2, 5, 1, 10, 2, 1, 1, 1, 1, 1, 6, 6, 10, 1, 1, 6, 10, 2, 4, 10, 2, 1, 2, 10, 6, 2, 1, 1, 1, 6, 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10, 10, 6, 10, 6, 1, 6, 2, 2, 6, 6, 1, 2, 10, 6, 1, 10, 1, 10, 10, 2, 6, 2, 2, 6, 10, 6, 2, 6, 6, 2, 2, 6, 2, 2, 1, 6, 4, 1, 1, 6, 1, 10, 6, 10, 10, 6, 1, 1, 6, 1, 10, 2, 2, 10, 10, 2, 4, 1, 6, 2, 2, 10, 2, 10, 1, 1, 10, 1, 10, 1, 10, 10, 10, 6, 10, 6, 6, 10, 2, 6, 10, 1, 10, 2, 1, 2, 5, 10, 2, 0, 10, 10, 1, 2, 1, 10, 2, 1, 10, 6, 2, 1, 10, 2, 2, 1, 6, 2, 2, 2, 2, 10, 6, 6, 2, 6, 6, 2, 2, 2, 1, 2, 2, 1, 4, 6, 10, 1, 6, 2, 1, 10, 6, 10, 1, 10, 6, 10, 6, 1, 6, 6, 6, 2, 10, 10, 0, 10, 2, 1, 2, 1, 4, 1, 1, 1, 2, 1, 1, 6, 2, 1, 6, 6, 6, 1, 6, 2, 6, 1, 6, 10, 10, 10, 10, 2, 6, 1, 10, 5, 40, 1, 10, 2, 2, 1, 2, 6, 6, 2, 6, 1, 6, 10, 1, 1, 2, 6, 2, 10, 6, 1, 6, 1, 1, 2, 1, 1, 1, 6, 1, 10, 10, 6, 10, 10, 10, 6, 1, 1, 1, 10, 6, 10, 2, 6, 2, 10, 6, 1, 2, 10, 2, 10, 6, 6, 1, 1, 2, 6, 2, 10, 2, 6, 1, 1, 8, 2, 6, 9, 1, 6, 2, 6, 6, 1, 2, 1, 1, 2, 6, 6, 1, 1, 6, 1, 10, 10, 2, 10, 10, 2, 10, 1, 1, 2, 10, 1, 1, 6, 10, 6, 10, 2, 2, 6, 10, 6, 1, 2, 4, 2, 1, 6, 10, 6, 1, 6, 6, 10, 10, 2, 10, 2, 2, 6, 10, 10, 6, 0, 2, 10, 1, 2, 2, 2, 6, 10, 1, 6, 10, 10, 2, 2, 6, 10, 6, 1, 2, 10, 1, 6, 6, 2, 6, 2, 1, 10, 2, 1, 2, 6, 6, 6, 2, 1, 6, 1, 6, 9, 1, 1, 6, 1, 6, 2, 6, 10, 1, 6, 1, 6, 2, 1, 10, 10, 10, 2, 6, 6, 6, 6, 10, 0, 4, 1, 10, 2, 5, 6, 6, 1, 1, 6, 2, 1, 1, 2, 1, 2, 6, 2, 10, 6, 10, 10, 2, 1, 1, 10, 1, 1, 1, 10, 2, 6, 6, 0, 6, 6, 2, 1, 10, 1, 0, 2, 9, 6, 1, 6, 10, 1, 10, 1, 6, 10, 1, 10, 6, 1, 2, 2, 10, 2, 10, 2, 6, 6, 2, 1, 6, 10, 2, 10, 2, 10, 1, 2, 6, 1, 6, 1, 10, 1, 10, 6, 6, 1, 1, 10, 10, 10, 2, 10, 1, 1, 2, 6, 6, 10, 2, 6, 6, 1, 6, 1, 1, 10, 1, 6, 1, 6, 1, 10, 1, 2, 10, 6, 6, 6, 2, 2, 1, 2, 6, 1, 2, 10, 1, 1, 1, 10, 0, 6, 60, 1, 6, 6, 6, 6, 6, 2, 1, 2, 6, 2, 10, 1, 10, 1, 10, 10, 2, 2, 1, 1, 6, 2, 1, 6, 1, 1, 1, 10, 6, 1, 10, 1, 6, 10, 6, 2, 0, 6, 6, 10, 2, 6, 2, 6, 6, 2, 2, 2, 1, 2, 10, 0, 2, 1, 1, 2, 0, 2, 10, 6, 6, 6, 6, 10, 10, 10, 10, 10, 1, 2, 1, 2, 2, 6, 10, 2, 2, 10, 6, 6, 1, 1, 10, 10, 2, 6, 6, 1, 1, 1, 2, 2, 1, 10, 1, 6, 2, 2, 1, 2, 2, 1, 6, 2, 1, 2, 10, 10, 1, 6, 6, 6, 1, 2, 6, 2, 10, 1, 10, 10, 10, 9, 2, 6, 10, 6, 6, 2, 2, 10, 10, 1, 10, 2, 10, 10, 2, 1, 6, 6, 6, 6, 6, 1, 6, 2, 2, 9, 6, 10, 10, 10, 6, 6, 1, 10, 10, 6, 10, 2, 10, 6, 2, 10, 6, 10, 10, 2, 10, 6, 10, 6, 6, 1, 6, 1, 6, 6, 1, 2, 5, 10, 1, 10, 6, 1, 2, 6, 1, 10, 1, 10, 6, 6, 2, 10, 6, 2, 10, 10, 1, 10, 10, 6, 10, 1, 10, 1, 10, 6, 6, 2, 1, 6, 1, 1, 10, 6, 1, 9, 10, 2, 2, 10, 2, 1, 1, 10, 10, 1, 1, 2, 10, 1, 10, 2, 10, 10, 6, 0, 6, 6, 2, 6, 2, 10, 6, 1, 2, 6, 1, 6, 2, 1, 1, 10, 1, 1, 6, 2, 2, 9, 10, 6, 6, 6, 10, 1, 6, 10, 1, 10, 10, 2, 2, 2, 6, 5, 10, 6, 6, 6, 10, 10, 10, 2, 6, 6, 2, 2, 1, 2, 6, 2, 10, 1, 1, 2, 2, 2, 2, 1, 10, 6, 5, 2, 10, 2, 6, 10, 9, 1, 6, 2, 2, 10, 1, 6, 1, 6, 10, 1, 1, 5, 6, 2, 6, 6, 2, 1, 10, 2, 2, 2, 10, 2, 6, 10, 1, 1, 2, 2, 6, 10, 10, 1, 2, 2, 2, 6, 1, 1, 6, 1, 1, 1, 10, 6, 6, 6, 6, 6, 10, 1, 1, 2, 2, 10, 10, 2, 1, 50, 1, 6, 1, 2, 2, 10, 6, 0, 10, 10, 6, 10, 6, 1, 10, 6, 10, 2, 1, 10, 1, 2, 9, 1, 1, 1, 1, 10, 6, 1, 6, 1, 2, 6, 6, 1, 6, 9, 10, 10, 2, 1, 2, 6, 2, 10, 2, 2, 6, 10, 10, 6, 6, 6, 6, 10, 1, 10, 6, 1, 1, 1, 6, 2, 2, 2, 2, 10, 10, 2, 1, 10, 2, 1, 10, 2, 10, 1, 2, 6, 1, 6, 6, 10, 9, 2, 2, 6, 5, 1, 5, 6, 10, 2, 1, 1, 10, 1, 10, 10, 1, 6, 10, 6, 10, 6, 6, 2, 2, 10, 6, 10, 6, 6, 2, 2, 1, 10, 1, 2, 6, 10, 6, 2, 10, 1, 1, 6, 2, 2, 1, 10, 10, 5, 1, 1, 6, 1, 6, 6, 6, 10, 6, 10, 10, 6, 1, 6, 1, 10, 10, 1, 6, 10, 1, 1, 6, 1, 6, 1, 1, 1, 1, 1, 6, 10, 2, 1, 6, 10, 2, 2, 5, 2, 1, 1, 6, 1, 10, 1, 1, 6, 1, 1, 9, 1, 2, 9, 6, 10, 6, 4, 0, 1, 10, 6, 10, 1, 10, 10, 6, 6, 10, 6, 6, 10, 2, 2, 1, 10, 4, 10, 1, 6, 10, 2, 6, 6, 2, 2, 10, 1, 1, 1, 9, 4, 10, 10, 10, 2, 2, 6, 6, 10, 6, 1, 6, 10, 10, 6, 1, 6, 2, 2, 10, 1, 2, 0, 6, 2, 1, 2, 1, 1, 1, 2, 1, 10, 0, 6, 1, 10, 2, 10, 10, 2, 2, 10, 1, 2, 10, 1, 0, 6, 1, 2, 2, 1, 6, 1, 1, 10, 10, 6, 1, 1, 10, 6, 2, 2, 10, 10, 2, 6, 10, 6, 0, 2, 2, 1, 6, 2, 2, 6, 2, 10, 2, 2, 10, 6, 2, 2, 10, 6, 2, 10, 1, 10, 10, 1, 2, 1, 6, 10, 10, 6, 6, 2, 6, 6, 2, 1, 1, 10, 2, 4, 1, 1, 1, 1, 6, 10, 10, 1, 1, 1, 10, 10, 6, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 6, 2, 2, 1, 1, 1, 2, 10, 10, 6, 1, 10, 6, 1, 6, 2, 6, 10, 1, 10, 1, 1, 1, 2, 1, 6, 1, 2, 1, 1, 10, 10, 10, 1, 1, 1, 2, 1, 10, 2, 2, 6, 10, 6, 10, 2, 1, 1, 10, 6, 1, 10, 6, 1, 2, 2, 6, 10, 1, 1, 10, 1, 2, 6, 2, 2, 6, 1, 1, 2, 10, 2, 10, 6, 1, 1, 6, 2, 1, 10, 2, 2, 6, 1, 1, 6, 10, 2, 1, 1, 10, 4, 6, 6, 6, 6, 10, 10, 1, 2, 10, 6, 1, 2, 10, 6, 10, 1, 1, 10, 6, 6, 6, 2, 10, 10, 10, 10, 10, 1, 1, 10, 10, 10, 10, 1, 2, 10, 10, 1, 2, 6, 6, 1, 1, 1, 1, 2, 1, 1, 6, 1, 10, 10, 10, 10, 2, 2, 10, 10, 6, 60, 6, 1, 10, 2, 2, 6, 2, 1, 1, 6, 1, 9, 2, 1, 6, 10, 6, 10, 6, 6, 10, 1, 10, 6, 1, 5, 1, 1, 2, 2, 6, 10, 2, 10, 10, 10, 1, 6, 6, 6, 1, 2, 2, 10, 6, 1, 6, 6, 1, 2, 10, 6, 10, 10, 10, 2, 1, 2, 2, 6, 4, 2, 6, 6, 1, 6, 1, 1, 2, 5, 2, 10, 6, 10, 6, 10, 2, 2, 6, 6, 6, 1, 2, 1, 6, 2, 6, 10, 6, 6, 1, 10, 0, 1, 10, 10, 6, 6, 1, 2, 2, 10, 6, 6, 10, 6, 10, 1, 1, 6, 10, 2, 6, 1, 2, 1, 1, 5, 6, 10, 10, 1, 2, 2, 1, 2, 1, 6, 2, 10, 6, 0, 6, 10, 1, 10, 6, 6, 6, 6, 6, 1, 1, 10, 1, 6, 1, 10, 2, 10, 10, 6, 10, 10, 9, 5, 2, 2, 6, 2, 10, 2, 10, 1, 2, 6, 6, 2, 10, 1, 1, 10, 2, 10, 2, 10, 1, 10, 10, 6, 1, 1, 1, 2, 6, 2, 10, 1, 1, 10, 1, 6, 6, 2, 2, 10, 1, 1, 2, 10, 2, 1, 1, 2, 6, 1, 2, 2, 2, 10, 2, 40, 1, 6, 1, 6, 6, 10, 1, 1, 2, 6, 10, 10, 2, 40, 6, 1, 2, 10, 6, 10, 6, 2, 1, 6, 6, 1, 6, 10, 6, 2, 6, 1, 2, 1, 2, 2, 1, 6, 2, 10, 10, 6, 10, 6, 1, 6, 1, 6, 1, 10, 1, 10, 2, 10, 2, 10, 2, 1, 10, 2, 1, 10, 6, 2, 10, 1, 6, 2, 6, 1, 10, 6, 1, 6, 1, 2, 2, 2, 10, 1, 10, 10, 10, 1, 1, 2, 10, 1, 6, 1, 1, 10, 6, 6, 2, 2, 6, 6, 10, 6, 0, 1, 6, 10, 4, 2, 6, 2, 6, 10, 10, 1, 10, 6, 6, 6, 6, 10, 2, 10, 1, 6, 1, 10, 2, 10, 10, 6, 10, 1, 2, 1, 2, 10, 6, 1, 2, 10, 6, 10, 10, 4, 10, 6, 2, 2, 10, 6, 2, 10, 1, 2, 2, 2, 2, 1, 6, 1, 1, 1, 6, 6, 2, 6, 2, 10, 0, 1, 2, 2, 6, 2, 1, 10, 6, 10, 6, 10, 5, 2, 2, 2, 6, 6, 2, 6, 1, 10, 10, 10, 10, 1, 6, 6, 10, 6, 6, 1, 10, 6, 10, 2, 1, 6, 1, 1, 0, 6, 1, 2, 2, 10, 2, 10, 6, 2, 1, 1, 1, 1, 6, 2, 1, 6, 2, 4, 2, 2, 1, 6, 10, 2, 10, 1, 2, 6, 2, 6, 4, 10, 9, 10, 10, 2, 1, 2, 10, 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2, 2, 2, 1, 10, 6, 10, 6, 10, 2, 1, 6, 1, 2, 2, 1, 10, 1, 1, 1, 6, 1, 50, 2, 6, 10, 2, 1, 10, 5, 2, 10, 6, 10, 1, 2, 2, 6, 1, 1, 10, 6, 2, 2, 10, 2, 10, 6, 1, 2, 2, 6, 10, 6, 1, 2, 10, 2, 6, 10, 10, 2, 1, 6, 10, 1, 10, 2, 10, 10, 2, 10, 1, 2, 4, 1, 5, 10, 1, 6, 0, 1, 6, 10, 10, 10, 10, 6, 6, 1, 2, 6, 2, 10, 2, 6, 2, 10, 1, 6, 10, 2, 1, 2, 10, 1, 6, 2, 1, 10, 2, 10, 10, 2, 9, 2, 1, 2, 10, 6, 4, 10, 10, 2, 6, 1, 0, 2, 1, 1, 6, 2, 6, 1, 9, 1, 2, 10, 6, 2, 1, 6, 6, 10, 6, 1, 1, 10, 6, 1, 6, 1, 2, 2, 10, 6, 2, 10, 2, 2, 6, 10, 1, 2, 6, 10, 6, 6, 6, 6, 7, 10, 1, 6, 6, 10, 6, 1, 1, 1, 0, 1, 2, 1, 6, 1, 2, 10, 10, 6, 2, 6, 2, 6, 10, 1, 6, 6, 2, 6, 6, 6, 10, 2, 10, 1, 6, 10, 1, 6, 10, 9, 2, 6, 1, 10, 2, 6, 2, 2, 2, 2, 10, 2, 6, 6, 1, 2, 10, 10, 1, 10, 2, 6, 6, 6, 6, 2, 2, 1, 0, 6, 2, 10, 2, 1, 10, 6, 2, 2, 10, 6, 10, 1, 2, 6, 10, 10, 1, 1, 5, 2, 1, 1, 2, 6, 2, 6, 2, 6, 2, 1, 1, 10, 10, 6, 2, 1, 6, 1, 10, 6, 1, 2, 1, 10, 2, 5, 10, 2, 1, 6, 1, 10, 10, 5, 6, 2, 6, 2, 10, 10, 1, 2, 10, 6, 2, 2, 1, 9, 10, 10, 1, 2, 0, 2, 1, 1, 1, 10, 2, 4, 6, 2, 10, 1, 1, 6, 6, 1, 6, 1, 1, 2, 10, 2, 1, 2, 10, 9, 10, 10, 1, 2, 1, 1, 2, 10, 6, 10, 2, 2, 2, 2, 10, 10, 1, 10, 1, 2, 6, 6, 6, 10, 2, 6, 5, 2, 10, 10, 10, 2, 10, 10, 1, 2, 10, 2, 1, 6, 1, 1, 10, 1, 6, 6, 10, 1, 1, 1, 6, 2, 2, 2, 5, 2, 10, 6, 10, 6, 10, 9, 10, 6, 1, 1, 6, 10, 9, 1, 10, 2, 2, 6, 1, 6, 6, 10, 2, 1, 10, 10, 2, 6, 1, 6, 6, 1, 1, 10, 2, 5, 1, 1, 1, 5, 2, 6, 2, 6, 6, 1, 2, 2, 2, 1, 1, 6, 2, 6, 10, 1, 1, 10, 10, 1, 1, 1, 6, 6, 10, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 10, 1, 1, 2, 2, 6, 6, 6, 1, 10, 1, 6, 1, 6, 1, 10, 10, 6, 6, 2, 6, 2, 1, 6, 10, 2, 2, 6, 1, 2, 10, 2, 6, 10, 1, 1, 10, 10, 10, 2, 1, 6, 1, 1, 10, 6, 1, 1, 1, 6, 1, 10, 10, 6, 10, 6, 10, 1, 1, 6, 10, 6, 2, 10, 10, 6, 10, 10, 6, 10, 10, 10, 10, 1, 1, 4, 2, 10, 2, 10, 10, 2, 1, 1, 6, 6, 2, 1, 1, 6, 2, 1, 1, 6, 1, 6, 2, 2, 10, 6, 6, 2, 6, 6, 6, 6, 6, 1, 6, 6, 10, 10, 2, 6, 2, 6, 1, 10, 2, 1, 2, 2, 6, 6, 2, 1, 6, 2, 10, 6, 6, 6, 2, 1, 10, 0, 2, 2, 5, 0, 6, 10, 1, 2, 1, 6, 2, 2, 10, 1, 6, 6, 10, 1, 1, 6, 6, 1, 10, 6, 6, 6, 2, 1, 1, 6, 2, 6, 2, 6, 2, 2, 1, 1, 10, 6, 2, 10, 1, 6, 2, 10, 6, 2, 6, 6, 10, 2, 6, 6, 2, 1, 10, 6, 10, 6, 10, 6, 1, 2, 10, 1, 10, 1, 2, 6, 1, 1, 6, 1, 2, 1, 2, 2, 10, 2, 10, 2, 1, 2, 1, 2, 2, 1, 2, 1, 10, 2, 2, 10, 10, 2, 1, 1, 2, 2, 2, 1, 0, 6, 6, 10, 9, 6, 2, 6, 10, 2, 2, 2, 10, 10, 2, 6, 10, 9, 6, 2, 1, 6, 1, 1, 1, 6, 6, 10, 10, 6, 2, 6, 1, 10, 4, 10, 10, 2, 6, 10, 0, 2, 6, 10, 10, 6, 2, 1, 4, 10, 6, 2, 6, 2, 1, 10, 10, 2, 10, 6, 1, 6, 10, 5, 2, 10, 2, 2, 1, 2, 2, 6, 1, 10, 4, 2, 2, 2, 1, 2, 6, 2, 1, 10, 2, 1, 6, 1, 6, 2, 1, 9, 6, 1, 2, 1, 6, 2, 1, 6, 5, 2, 2, 2, 10, 10, 1, 1, 2, 6, 1, 10, 6, 10, 2, 6, 2, 1, 2, 2, 2, 6, 10, 2, 1, 10, 10, 2, 6, 6, 2, 1, 2, 10, 2, 10, 10, 6, 2, 2, 1, 10, 1, 2, 2, 1, 6, 2, 6, 2, 10, 4, 1, 1, 6, 1, 10, 1, 1, 1, 6, 2, 2, 1, 10, 10, 10, 2, 10, 2, 6, 2, 1, 6, 6, 1, 10, 6, 6, 2, 6, 1, 2, 1, 10, 10, 10, 10, 10, 2, 10, 2, 1, 6, 1, 6, 2, 10, 2, 6, 10, 9, 6, 6, 6, 2, 6, 2, 10, 10, 2, 1, 6, 6, 10, 10, 1, 6, 2, 6, 10, 1, 2, 1, 1, 6, 2, 1, 4, 1, 1, 2, 10, 1, 10, 10, 6, 1, 1, 10, 6, 10, 2, 10, 1, 2, 2, 6, 1, 6, 10, 10, 1, 1, 2, 9, 10, 1, 10, 1, 6, 6, 2, 1, 10, 1, 1, 2, 10, 6, 2, 6, 2, 6, 2, 6, 1, 10, 1, 1, 10, 2, 6, 10, 10, 1, 1, 1, 10, 2, 2, 0, 10, 3, 10, 10, 10, 10, 2, 6, 10, 6, 1, 6, 1, 2, 6, 10, 1, 10, 2, 10, 1, 2, 2, 10, 10, 2, 6, 6, 6, 2, 1, 2, 10, 2, 2, 10, 2, 10, 10, 6, 6, 10, 2, 10, 6, 6, 10, 1, 2, 10, 2, 6, 2, 6, 1, 2, 6, 10, 6, 6, 10, 6, 2, 2, 6, 6, 6, 6, 10, 2, 10, 10, 2, 10, 10, 2, 10, 6, 1, 10, 10, 2, 6, 2, 10, 10, 6, 10, 1, 10, 10, 10, 1, 6, 2, 10, 2, 2, 1, 1, 1, 10, 2, 2, 10, 10, 5, 6, 1, 1, 2, 2, 10, 10, 2, 10, 6, 2, 10, 6, 6, 2, 10, 1, 6, 1, 1, 10, 1, 2, 10, 2, 1, 1, 2, 1, 2, 10, 1, 2, 2, 1, 6, 1, 6, 10, 10, 1, 4, 6, 6, 1, 10, 10, 2, 2, 2, 2, 1, 2, 4, 2, 2, 6, 2, 2, 6, 1, 0, 5, 2, 6, 10, 1, 1, 6, 2, 6, 10, 10, 6, 6, 6, 10, 1, 1, 1, 2, 2, 1, 2, 1, 1, 10, 2, 5, 2, 10, 1, 10, 6, 2, 10, 1, 2, 10, 2, 1, 2, 1, 6, 1, 10, 0, 2, 2, 1, 1, 6, 1, 2, 2, 1, 2, 10, 6, 2, 6, 2, 1, 6, 2, 10, 10, 10, 1, 1, 6, 2, 2, 1, 6, 6, 10, 1, 2, 1, 2, 6, 1, 1, 1, 6, 1, 1, 2, 6, 1, 6, 6, 6, 6, 2, 5, 6, 10, 1, 10, 1, 1, 10, 1, 10, 2, 2, 10, 1, 10, 1, 1, 6, 6, 2, 1, 6, 10, 10, 4, 7, 1, 6, 2, 2, 10, 1, 6, 2, 6, 6, 6, 10, 1, 10, 1, 10, 1, 1, 6, 4, 10, 2, 6, 10, 1, 6, 6, 10, 2, 4, 1, 2, 2, 1, 6, 6, 6, 10, 2, 10, 10, 1, 2, 2, 6, 2, 6, 6, 2, 1, 6, 4, 2, 2, 2, 6, 2, 6, 2, 2, 10, 10, 2, 1, 10, 2, 10, 1, 10, 6, 10, 10, 2, 2, 6, 10, 2, 10, 1, 10, 2, 1, 1, 6, 4, 1, 2, 0, 10, 6, 6, 6, 6, 10, 0, 6, 6, 10, 1, 0, 1, 2, 6, 2, 2, 1, 6, 1, 10, 6, 6, 2, 10, 2, 6, 6, 1, 6, 2, 2, 2, 1, 2, 2, 9, 10, 2, 6, 1, 9, 6, 10, 2, 10, 1, 2, 6, 10, 1, 1, 2, 10, 1, 2, 10, 6, 6, 10, 2, 10, 6, 10, 2, 1, 6, 2, 1, 2, 10, 0, 10, 10, 0, 1, 6, 1, 10, 10, 10, 10, 10, 2, 6, 1, 10, 6, 6, 1, 6, 6, 1, 6, 1, 4, 2, 6, 6, 6, 6, 1, 2, 6, 1, 10, 1, 10, 2, 2, 6, 2, 10, 10, 2, 6, 6, 6, 1, 6, 2, 1, 1, 10, 6, 1, 10, 6, 1, 10, 2, 6, 10, 1, 2, 1, 1, 1, 2, 1, 6, 2, 10, 1, 6, 2, 1, 10, 1, 6, 10, 2, 1, 5, 5, 10, 1, 2, 2, 6, 1, 2, 1, 2, 1, 2, 6, 1, 10, 2, 10, 2, 10, 1, 6, 10, 10, 10, 10, 2, 6, 6, 1, 2, 6, 6, 6, 10, 10, 10, 1, 2, 1, 2, 6, 6, 6, 6, 10, 10, 6, 10, 10, 1, 1, 2, 10, 6, 2, 2, 1, 1, 10, 2, 1, 2, 10, 6, 1, 6, 10, 2, 6, 10, 2, 2, 1, 10, 10, 1, 1, 10, 2, 1, 6, 1, 2, 6, 1, 1, 1, 6, 2, 6, 2, 1, 1, 10, 10, 10, 2, 6, 1, 6, 6, 6, 10, 10, 1, 2, 10, 1, 2, 10, 9, 10, 1, 2, 2, 1, 2, 10, 1, 2, 2, 10, 10, 2, 2, 6, 10, 10, 1, 10, 1, 2, 6, 6, 10, 10, 6, 1, 2, 1, 6, 1, 1, 1, 2, 1, 6, 2, 2, 10, 1, 1, 2, 10, 1, 10, 0, 0, 1, 2, 2, 1, 6, 6, 1, 10, 1, 10, 1, 1, 1, 2, 2, 6, 6, 10, 2, 1, 6, 10, 6, 2, 6, 1, 6, 6, 10, 2, 2, 1, 1, 2, 1, 1, 6, 2, 6, 6, 1, 10, 6, 2, 10, 2, 0, 10, 6, 1, 2, 1, 6, 6, 6, 6, 1, 10, 2, 1, 10, 9, 2, 0, 2, 10, 1, 10, 6, 2, 1, 6, 10, 6, 2, 6, 2, 6, 6, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 10, 10, 1, 1, 6, 6, 10, 1, 2, 2, 2, 6, 2, 6, 1, 10, 2, 10, 6, 2, 6, 10, 1, 10, 10, 6, 10, 2, 1, 1, 10, 1, 6, 2, 1, 2, 6, 6, 6, 6, 6, 10, 6, 10, 2, 10, 10, 10, 10, 4, 2, 10, 2, 1, 10, 10, 10, 6, 6, 2, 6, 6, 10, 10, 10, 2, 10, 2, 10, 1, 1, 1, 1, 10, 6, 2, 4, 2, 10, 2, 6, 4, 1, 10, 1, 2, 10, 2, 10, 6, 1, 2, 6, 1, 1, 6, 10, 10, 6, 2, 1, 6, 1, 2, 2, 1, 6, 6, 1, 2, 10, 1, 1, 6, 2, 6, 2, 2, 10, 2, 2, 6, 1, 6, 1, 2, 2, 10, 10, 2, 10, 2, 1, 10, 10, 2, 10, 2, 6, 10, 6, 6, 2, 6, 10, 2, 6, 1, 6, 1, 1, 1, 1, 10, 2, 2, 6, 2, 6, 2, 1, 2, 2, 2, 6, 10, 10, 2, 1, 6, 1, 2, 10, 6, 6, 1, 10, 10, 6, 10, 1, 1, 2, 6, 2, 6, 6, 10, 2, 6, 2, 1, 1, 6, 1, 1, 6, 1, 6, 6, 2, 2, 2, 10, 1, 1, 10, 10, 2, 10, 6, 10, 1, 10, 1, 2, 1, 1, 1, 2, 6, 10, 6, 10, 6, 2, 2, 2, 2, 7, 10, 10, 6, 6, 2, 6, 1, 9, 6, 6, 1, 6, 2, 1, 2, 0, 1, 4, 10, 10, 1, 2, 6, 2, 2, 1, 10, 6, 6, 10, 1, 1, 10, 10, 6, 6, 9, 1, 1, 6, 1, 2, 6, 10, 2, 10, 2, 6, 1, 2, 1, 2, 2, 2, 6, 2, 1, 0, 2, 2, 6, 1, 1, 5, 10, 10, 6, 1, 0, 1, 2, 6, 10, 1, 2, 10, 2, 6, 6, 6, 10, 2, 10, 2, 10, 6, 9, 2, 6, 10, 6, 10, 10, 10, 10, 10, 6, 10, 2, 10, 1, 10, 2, 10, 2, 6, 10, 10, 2, 6, 10, 6, 1, 2, 10, 2, 1, 4, 9, 2, 1, 1, 2, 1, 2, 2, 10, 1, 10, 10, 1, 6, 1, 6, 1, 1, 1, 6, 6, 1, 10, 10, 6, 10, 6, 1, 6, 10, 6, 2, 10, 5, 2, 10, 1, 2, 2, 6, 6, 1, 1, 6, 10, 2, 1, 1, 10, 9, 6, 2, 10, 10, 10, 6, 1, 6, 1, 10, 1, 6, 10, 6, 1, 2, 6, 6, 0, 1, 10, 1, 9, 1, 6, 2, 2, 6, 10, 10, 10, 1, 1, 10, 10, 1, 2, 2, 6, 6, 1, 1, 10, 10, 10, 1, 2, 1, 1, 1, 10, 2, 10, 10, 2, 1, 6, 10, 10, 10, 10, 10, 6, 6, 1, 10, 10, 2, 10, 10, 1, 1, 6, 1, 1, 1, 10, 10, 6, 10, 1, 10, 1, 2, 1, 6, 10, 5, 6, 10, 1, 10, 6, 10, 2, 2, 6, 1, 2, 9, 1, 6, 2, 10, 6, 6, 2, 6, 10, 4, 10, 1, 2, 6, 2, 1, 6, 1, 1, 2, 10, 1, 1, 1, 1, 1, 6, 1, 2, 10, 2, 2, 6, 10, 1, 6, 1, 6, 6, 1, 6, 2, 6, 10, 10, 2, 2, 10, 2, 6, 2, 6, 2, 2, 6, 1, 6, 1, 6, 2, 1, 10, 1, 2, 10, 1, 1, 10, 9, 2, 1, 6, 2, 10, 1, 6, 2, 10, 10, 2, 1, 1, 6, 1, 9, 6, 1, 10, 2, 6, 10, 1, 1, 10, 2, 2, 2, 6, 6, 1, 1, 10, 6, 6, 10, 1, 10, 10, 10, 2, 6, 2, 2, 6, 10, 1, 6, 2, 9, 1, 2, 2, 6, 1, 10, 6, 10, 2, 6, 1, 1, 6, 6, 1, 1, 6, 1, 9, 1, 6, 6, 10, 6, 6, 10, 1, 2, 10, 10, 6, 2, 10, 1, 6, 2, 10, 1, 6, 1, 10, 2, 6, 10, 1, 1, 6, 6, 10, 2, 6, 1, 10, 1, 2, 6, 10, 10, 1, 10, 1, 6, 6, 1, 2, 6, 2, 2, 6, 6, 6, 10, 6, 10, 6, 6, 2, 6, 6, 6, 1, 2, 6, 1, 6, 6, 6, 6, 6, 2, 9, 2, 10, 2, 1, 10, 10, 10, 6, 0, 6, 1, 2, 10, 2, 1, 6, 2, 2, 6, 1, 6, 10, 10, 1, 1, 6, 10, 10, 6, 10, 6, 1, 1, 6, 2, 1, 10, 10, 50, 6, 1, 1, 2, 10, 2, 10, 2, 1, 1, 2, 1, 6, 6, 6, 2, 10, 1, 2, 10, 1, 10, 6, 1, 2, 2, 6, 10, 1, 6, 10, 1, 6, 2, 9, 6, 2, 10, 1, 10, 2, 1, 10, 2, 9, 10, 2, 2, 1, 10, 1, 6, 1, 2, 6, 10, 10, 2, 2, 6, 2, 2, 1, 2, 1, 6, 1, 6, 10, 1, 2, 10, 1, 6, 6, 6, 10, 2, 1, 2, 1, 6, 10, 10, 1, 6, 1, 10, 10, 10, 10, 2, 1, 2, 6, 2, 2, 1, 6, 10, 4, 8, 1, 2, 6, 1, 6, 2, 6, 2, 6, 10, 2, 4, 1, 10, 10, 10, 10, 1, 2, 2, 10, 6, 2, 2, 1, 6, 6, 1, 2, 4, 6, 2, 9, 10, 10, 6, 6, 6, 10, 6, 10, 1, 6, 1, 6, 2, 10, 1, 6, 1, 6, 2, 6, 10, 1, 2, 6, 1, 1, 1, 2, 6, 5, 2, 10, 4, 1, 2, 2, 1, 1, 10, 10, 10, 6, 10, 6, 10, 1, 10, 2, 10, 2, 6, 6, 10, 1, 1, 1, 6, 2, 1, 10, 6, 10, 4, 2, 10, 6, 2, 10, 10, 9, 10, 10, 2, 10, 6, 6, 10, 6, 2, 1, 10, 6, 1, 6, 6, 1, 2, 2, 6, 1, 2, 1, 10, 2, 10, 10, 6, 1, 2, 6, 10, 6, 5, 10, 2, 6, 10, 6, 10, 1, 4, 6, 2, 10, 6, 10, 6, 6, 6, 6, 1, 10, 1, 10, 2, 1, 10, 6, 2, 10, 6, 6, 10, 10, 4, 10, 1, 6, 10, 10, 10, 2, 2, 2, 6, 10, 1, 6, 2, 6, 10, 0, 6, 6, 10, 10, 2, 2, 6, 2, 10, 10, 1, 5, 10, 1, 1, 2, 10, 2, 10, 1, 10, 1, 10, 10, 6, 10, 10, 10, 2, 6, 1, 2, 10, 10, 10, 6, 10, 2, 10, 1, 6, 1, 6, 2, 2, 10, 1, 2, 1, 2, 6, 1, 10, 10, 2, 2, 4, 2, 2, 1, 2, 1, 10, 1, 5, 1, 6, 2, 6, 6, 1, 6, 10, 10, 6, 10, 6, 6, 1, 1, 2, 6, 1, 10, 1, 1, 1, 2, 6, 1, 10, 6, 10, 10, 2, 1, 10, 10, 1, 10, 10, 1, 10, 10, 10, 1, 1, 6, 1, 10, 2, 6, 1, 2, 40, 2, 1, 1, 1, 1, 2, 10, 2, 1, 10, 2, 10, 1, 10, 2, 1, 10, 2, 10, 1, 2, 10, 5, 2, 2, 6, 10, 10, 10, 1, 2, 6, 6, 1, 1, 2, 10, 2, 6, 2, 6, 1, 6, 2, 6, 1, 2, 2, 6, 1, 10, 6, 2, 6, 1, 6, 1, 2, 6, 6, 10, 10, 10, 2, 2, 0, 6, 10, 2, 1, 10, 6, 10, 10, 10, 6, 1, 10, 1, 2, 10, 6, 6, 6, 2, 1, 1, 1, 6, 2, 1, 10, 6, 6, 6, 1, 10, 2, 10, 6, 6, 10, 2, 1, 6, 6, 10, 1, 6, 1, 6, 2, 1, 2, 10, 10, 10, 6, 2, 9, 2, 1, 2, 2, 6, 6, 6, 1, 6, 10, 6, 2, 6, 6, 2, 2, 6, 6, 6, 2, 0, 9, 1, 10, 6, 2, 5, 2, 2, 2, 2, 1, 2, 10, 1, 2, 10, 2, 10, 2, 1, 10, 1, 1, 2, 5, 2, 10, 6, 10, 10, 6, 6, 6, 2, 2, 10, 1, 1, 10, 10, 1, 2, 1, 1, 10, 2, 2, 9, 10, 1, 6, 6, 1, 10, 10, 1, 2, 1, 2, 2, 10, 2, 10, 6, 1, 6, 4, 1, 2, 6, 10, 6, 6, 6, 6, 1, 1, 10, 1, 1, 1, 6, 10, 6, 6, 2, 2, 2, 6, 1, 2, 1, 6, 6, 2, 2, 6, 2, 6, 6, 10, 6, 2, 10, 6, 10, 6, 1, 2, 6, 6, 6, 10, 2, 10, 10, 1, 1, 6, 10, 1, 2, 10, 6, 0, 10, 2, 4, 2, 2, 1, 1, 10, 1, 6, 1, 1, 6, 6, 2, 10, 2, 10, 2, 2, 6, 1, 1, 10, 6, 10, 1, 1, 6, 2, 2, 10, 1, 1, 6, 10, 1, 6, 2, 10, 0, 10, 6, 10, 1, 2, 1, 2, 6, 40, 10, 2, 6, 6, 10, 10, 10, 2, 1, 2, 2, 1, 6, 2, 1, 6, 2, 2, 2, 6, 6, 2, 10, 2, 1, 2, 1, 6, 6, 10, 6, 2, 2, 1, 2, 10, 10, 6, 6, 1, 10, 1, 6, 10, 1, 1, 10, 2, 6, 2, 10, 10, 6, 6, 10, 6, 6, 1, 1, 6, 2, 1, 2, 10, 6, 7, 2, 10, 2, 1, 2, 2, 6, 2, 2, 6, 2, 6, 1, 2, 10, 1, 10, 10, 10, 6, 10, 10, 1, 6, 6, 2, 1, 6, 10, 1, 9, 6, 10, 10, 1, 10, 6, 10, 2, 6, 1, 2, 10, 6, 1, 10, 6, 6, 1, 2, 1, 1, 1, 6, 1, 10, 6, 2, 2, 10, 2, 1, 2, 6, 2, 6, 1, 6, 2, 2, 6, 10, 10, 6, 1, 6, 1, 6, 10, 1, 6, 5, 6, 10, 2, 1, 1, 10, 6, 2, 6, 1, 10, 6, 10, 6, 2, 2, 10, 10, 10, 2, 2, 2, 6, 1, 6, 6, 2, 6, 1, 1, 1, 10, 2, 10, 2, 2, 1, 6, 2, 2, 1, 2, 6, 6, 2, 10, 10, 6, 6, 10, 6, 1, 2, 1, 10, 0, 1, 5, 2, 2, 10, 2, 10, 6, 1, 6, 2, 6, 10, 6, 2, 1, 2, 10, 10, 2, 10, 5, 10, 10, 2, 2, 10, 10, 1, 2, 2, 6, 1, 10, 2, 2, 1, 2, 6, 1, 10, 2, 1, 1, 1, 2, 6, 6, 1, 10, 1, 2, 2, 10, 10, 2, 6, 2, 2, 2, 6, 2, 6, 6, 6, 2, 5, 0, 6, 1, 1, 10, 10, 2, 6, 6, 6, 1, 6, 2, 6, 10, 6, 10, 6, 6, 1, 10, 6, 2, 10, 10, 1, 1, 1, 4, 1, 6, 10, 2, 2, 10, 6, 6, 2, 1, 10, 10, 2, 10, 10, 2, 10, 1, 10, 6, 1, 6, 6, 10, 10, 2, 0, 10, 10, 2, 10, 6, 6, 10, 10, 10, 2, 6, 1, 1, 6, 10, 2, 6, 6, 6, 6, 10, 6, 2, 10, 2, 2, 1, 1, 1, 2, 2, 10, 1, 10, 6, 10, 2, 1, 6, 10, 2, 2, 6, 0, 6, 6, 2, 6, 1, 2, 6, 2, 6, 1, 1, 2, 10, 2, 2, 6, 1, 6, 1, 2, 2, 6, 6, 2, 10, 10, 10, 10, 6, 10, 1, 10, 10, 10, 1, 10, 2, 10, 6, 6, 1, 6, 1, 10, 9, 1, 1, 1, 2, 6, 6, 1, 6, 2, 2, 1, 1, 1, 1, 10, 1, 1, 1, 6, 2, 1, 1, 10, 6, 0, 6, 6, 10, 6, 1, 6, 6, 10, 9, 2, 6, 2, 2, 1, 2, 9, 1, 10, 1, 1, 1, 6, 1, 6, 2, 2, 10, 6, 1, 6, 10, 1, 6, 2, 1, 1, 2, 2, 10, 2, 10, 10, 1, 10, 6, 2, 0, 2, 6, 10, 6, 1, 1, 10, 10, 10, 1, 2, 1, 1, 6, 6, 10, 10, 6, 10, 2, 10, 6, 10, 1, 1, 10, 10, 9, 10, 1, 2, 1, 10, 2, 6, 10, 10, 2, 6, 10, 1, 6, 10, 1, 6, 6, 1, 1, 10, 2, 10, 10, 6, 2, 6, 10, 10, 1, 10, 1, 2, 1, 1, 6, 1, 6, 1, 10, 10, 1, 10, 9, 10, 1, 2, 10, 2, 10, 10, 2, 1, 2, 1, 1, 10, 1, 6, 6, 10, 2, 10, 1, 10, 2, 6, 10, 10, 1, 2, 1, 1, 2, 2, 2, 10, 2, 6, 10, 10, 10, 10, 6, 6, 1, 6, 1, 6, 1, 2, 1, 2, 10, 6, 2, 6, 10, 1, 6, 2, 1, 10, 6, 4, 1, 1, 6, 2, 6, 2, 6, 2, 6, 10, 10, 2, 6, 6, 2, 1, 2, 1, 2, 6, 1, 2, 10, 10, 2, 1, 1, 6, 10, 10, 2, 1, 2, 10, 1, 2, 6, 2, 1, 2, 10, 2, 10, 2, 10, 6, 2, 2, 1, 6, 2, 1, 1, 10, 2, 6, 10, 10, 2, 6, 6, 2, 10, 2, 1, 2, 10, 1, 1, 2, 2, 1, 6, 6, 6, 2, 6, 6, 2, 1, 1, 6, 10, 1, 1, 10, 5, 1, 10, 2, 6, 6, 10, 6, 10, 2, 2, 1, 6, 10, 6, 2, 2, 6, 2, 2, 1, 6, 1, 1, 6, 2, 6, 1, 10, 6, 10, 10, 10, 2, 2, 2, 10, 6, 6, 1, 1, 1, 2, 10, 1, 6, 10, 2, 4, 10, 10, 1, 6, 6, 10, 6, 6, 1, 1, 2, 6, 6, 2, 2, 2, 6, 10, 2, 1, 10, 2, 10, 1, 1, 1, 6, 6, 1, 2, 1, 10, 10, 6, 10, 6, 6, 2, 1, 2, 10, 1, 5, 2, 2, 10, 1, 6, 10, 1, 1, 6, 6, 1, 10, 2, 10, 2, 1, 6, 10, 1, 10, 6, 9, 6, 2, 10, 6, 10, 5, 6, 2, 2, 6, 5, 9, 1, 6, 10, 2, 10, 6, 6, 1, 1, 1, 2, 1, 10, 1, 2, 1, 4, 1, 10, 6, 10, 10, 10, 2, 1, 6, 1, 2, 9, 10, 2, 6, 1, 10, 2, 2, 10, 10, 1, 2, 10, 1, 1, 6, 6, 1, 6, 10, 2, 2, 6, 6, 2, 6, 10, 2, 10, 6, 1, 10, 10, 2, 6, 1, 10, 2, 6, 1, 2, 1, 10, 10, 1, 2, 6, 6, 2, 2, 2, 10, 2, 4, 10, 1, 6, 6, 2, 10, 10, 6, 6, 1, 5, 6, 1, 1, 10, 10, 2, 2, 2, 2, 10, 1, 10, 2, 6, 6, 6, 10, 2, 1, 1, 2, 1, 2, 10, 1, 5, 10, 1, 10, 1, 2, 1, 2, 10, 2, 1, 6, 6, 10, 6, 6, 5, 1, 6, 10, 1, 10, 2, 1, 2, 2, 4, 1, 6, 1, 10, 2, 1, 10, 1, 10, 10, 6, 1, 10, 6, 10, 1, 10, 6, 6, 2, 10, 10, 2, 0, 1, 6, 2, 6, 2, 1, 10, 2, 6, 2, 10, 1, 6, 10, 2, 2, 10, 1, 1, 6, 6, 2, 6, 10, 10, 2, 10, 6, 9, 2, 1, 1, 2, 2, 2, 2, 2, 2, 10, 2, 6, 10, 2, 2, 6, 2, 6, 1, 10, 1, 1, 10, 10, 1, 1, 10, 1, 6, 10, 1, 6, 9, 10, 1, 6, 6, 1, 10, 6, 9, 6, 6, 1, 2, 10, 6, 10, 1, 2, 2, 1, 1, 6, 6, 2, 6, 1, 10, 10, 10, 10, 6, 10, 10, 2, 6, 6, 1, 1, 10, 1, 1, 6, 1, 1, 6, 6, 1, 1, 6, 6, 6, 6, 10, 1, 6, 2, 1, 10, 10, 1, 6, 10, 6, 6, 6, 2, 6, 2, 2, 10, 2, 6, 6, 6, 10, 2, 1, 10, 1, 6, 6, 1, 2, 6, 1, 2, 2, 1, 1, 1, 2, 10, 1, 1, 10, 1, 1, 2, 10, 6, 10, 1, 2, 1, 1, 10, 2, 2, 2, 10, 2, 6, 2, 2, 6, 6, 10, 10, 10, 10, 1, 1, 6, 10, 6, 1, 1, 2, 10, 6, 6, 0, 1, 1, 6, 2, 10, 2, 6, 2, 1, 2, 1, 1, 2, 2, 2, 2, 6, 60, 10, 2, 1, 2, 10, 2, 6, 2, 6, 1, 1, 6, 6, 6, 6, 10, 2, 10, 10, 10, 1, 6, 10, 6, 2, 10, 2, 1, 2, 9, 6, 10, 1, 2, 1, 1, 10, 10, 2, 2, 6, 2, 2, 6, 6, 2, 2, 1, 1, 6, 1, 2, 1, 1, 10, 10, 6, 2, 1, 2, 1, 6, 6, 10, 1, 10, 2, 1, 6, 10, 2, 6, 2, 10, 6, 2, 1, 2, 10, 6, 1, 2, 4, 2, 10, 6, 2, 6, 10, 10, 1, 10, 10, 6, 6, 1, 6, 2, 1, 1, 10, 6, 6, 6, 1, 2, 1, 6, 1, 2, 6, 2, 1, 2, 6, 2, 6, 1, 1, 2, 2, 6, 10, 2, 9, 10, 2, 6, 2, 1, 2, 6, 10, 1, 2, 1, 2, 1, 6, 1, 1, 10, 1, 1, 2, 1, 2, 6, 10, 6, 1, 2, 2, 10, 0, 2, 1, 6, 10, 10, 2, 1, 2, 2, 1, 10, 1, 10, 10, 10, 10, 10, 2, 1, 10, 6, 2, 10, 1, 10, 2, 6, 1, 6, 10, 1, 2, 6, 6, 2, 10, 2, 2, 8, 1, 2, 1, 6, 10, 2, 2, 6, 2, 1, 6, 1, 1, 10, 6, 2, 10, 6, 1, 1, 2, 6, 10, 2, 1, 6, 2, 10, 6, 6, 1, 4, 6, 1, 10, 10, 2, 10, 2, 2, 10, 1, 1, 10, 10, 10, 1, 6, 1, 10, 1, 10, 6, 2, 10, 6, 1, 2, 6, 2, 10, 4, 2, 2, 1, 6, 10, 2, 1, 6, 1, 6, 1, 2, 1, 1, 6, 6, 2, 1, 2, 6, 1, 1, 2, 1, 6, 2, 2, 6, 2, 10, 4, 1, 2, 1, 0, 10, 10, 10, 2, 1, 2, 2, 2, 2, 6, 10, 6, 10, 10, 10, 2, 6, 5, 2, 1, 10, 2, 1, 2, 10, 2, 1, 10, 2, 2, 10, 10, 2, 2, 2, 6, 4, 2, 10, 1, 6, 6, 6, 2, 6, 10, 2, 10, 1, 1, 6, 6, 1, 2, 2, 10, 6, 2, 2, 6, 6, 2, 1, 10, 6, 2, 10, 2, 1, 2, 6, 2, 2, 2, 2, 1, 10, 2, 1, 6, 1, 2, 6, 1, 2, 10, 2, 6, 6, 1, 1, 10, 2, 6, 10, 6, 2, 6, 2, 2, 10, 10, 6, 1, 6, 6, 6, 6, 1, 6, 6, 1, 6, 10, 2, 10, 10, 0, 10, 2, 2, 1, 6, 2, 2, 1, 2, 1, 2, 1, 1, 6, 2, 2, 10, 2, 10, 1, 10, 6, 10, 6, 6, 10, 6, 1, 2, 10, 2, 1, 2, 6, 2, 2, 2, 10, 2, 10, 2, 6, 10, 1, 1, 2, 1, 10, 10, 10, 1, 10, 10, 6, 6, 6, 2, 1, 2, 1, 10, 1, 10, 6, 10, 2, 1, 2, 10, 1, 10, 6, 6, 9, 2, 6, 1, 2, 2, 2, 1, 10, 2, 2, 10, 1, 10, 10, 2, 1, 10, 1, 50, 6, 1, 2, 0, 1, 10, 2, 2, 2, 2, 10, 2, 2, 1, 6, 10, 2, 6, 2, 1, 2, 6, 1, 10, 6, 2, 2, 10, 1, 2, 6, 10, 10, 1, 1, 2, 2, 6, 10, 6, 2, 10, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 6, 2, 2, 10, 1, 2, 2, 2, 2, 2, 10, 10, 6, 1, 2, 1, 1, 0, 6, 6, 1, 10, 1, 6, 1, 1, 2, 6, 6, 10, 2, 2, 6, 9, 6, 2, 1, 2, 2, 2, 6, 1, 10, 10, 10, 6, 2, 1, 1, 10, 6, 2, 6, 1, 2, 1, 10, 2, 1, 1, 6, 1, 2, 10, 6, 10, 6, 6, 1, 10, 2, 2, 6, 10, 2, 1, 2, 6, 6, 1, 6, 6, 10, 1, 10, 1, 2, 10, 2, 2, 0, 10, 2, 10, 2, 6, 6, 6, 6, 1, 10, 6, 6, 1, 10, 9, 10, 6, 10, 2, 1, 1, 10, 2, 6, 2, 6, 1, 2, 2, 1, 10, 1, 6, 6, 2, 10, 6, 6, 2, 1, 10, 10, 9, 10, 1, 10, 2, 1, 2, 6, 1, 10, 6, 1, 2, 5, 2, 2, 4, 2, 2, 10, 2, 2, 1, 1, 2, 1, 2, 2, 10, 1, 10, 2, 2, 1, 10, 6, 6, 10, 10, 1, 1, 1, 2, 1, 1, 10, 6, 6, 10, 10, 2, 1, 10, 1, 10, 4, 1, 2, 1, 2, 10, 2, 5, 10, 1, 2, 10, 1, 6, 10, 1, 2, 2, 0, 10, 10, 10, 1, 6, 1, 2, 10, 6, 10, 1, 1, 10, 2, 1, 10, 10, 10, 6, 2, 1, 6, 2, 2, 6, 1, 10, 10, 1, 10, 1, 6, 2, 2, 10, 6, 2, 2, 6, 0, 10, 2, 2, 1, 2, 2, 10, 9, 6, 6, 1, 2, 10, 1, 5, 0, 2, 6, 10, 1, 1, 2, 10, 6, 5, 1, 10, 1, 1, 6, 6, 6, 6, 6, 6, 1, 6, 6, 10, 10, 6, 2, 10, 10, 1, 6, 6, 1, 1, 10, 6, 10, 9, 6, 10, 2, 1, 1, 6, 6, 6, 1, 10, 6, 2, 2, 6, 2, 6, 6, 2, 6, 2, 6, 1, 10, 2, 2, 2, 10, 6, 1, 6, 10, 6, 10, 1, 2, 6, 10, 10, 10, 2, 2, 1, 1, 2, 1, 6, 6, 2, 2, 1, 1, 2, 2, 2, 2, 1, 4, 10, 6, 10, 10, 10, 10, 1, 2, 6, 6, 2, 6, 10, 6, 10, 10, 6, 2, 2, 2, 10, 10, 10, 2, 5, 10, 6, 10, 6, 1, 1, 6, 6, 1, 6, 1, 1, 10, 10, 6, 2, 1, 10, 2, 6, 10, 2, 2, 6, 1, 10, 10, 2, 10, 6, 1, 1, 2, 10, 10, 10, 1, 1, 1, 10, 10, 1, 1, 2, 10, 4, 10, 2, 10, 10, 10, 10, 10, 2, 10, 2, 2, 10, 1, 2, 1, 10, 6, 6, 1, 1, 10, 1, 6, 1, 2, 6, 2, 6, 2, 1, 10, 10, 6, 4, 6, 6, 6, 2, 1, 10, 2, 1, 0, 6, 6, 2, 10, 10, 1, 10, 2, 6, 2, 1, 2, 2, 1, 2, 6, 6, 1, 1, 2, 2, 1, 2, 2, 2, 10, 1, 10, 1, 10, 2, 1, 2, 10, 6, 2, 0, 10, 1, 6, 6, 6, 10, 6, 2, 2, 6, 2, 1, 2, 6, 10, 6, 1, 6, 1, 2, 6, 1, 6, 10, 6, 10, 2, 10, 1, 6, 6, 6, 10, 6, 6, 1, 10, 6, 1, 2, 2, 2, 2, 1, 1, 10, 2, 6, 6, 6, 1, 1, 1, 2, 2, 2, 6, 2, 6, 2, 10, 0, 2, 10, 9, 1, 40, 1, 10, 10, 1, 10, 2, 1, 6, 10, 6, 2, 1, 2, 2, 1, 1, 2, 1, 10, 1, 10, 6, 1, 6, 2, 6, 1, 6, 9, 1, 10, 10, 2, 6, 2, 2, 1, 6, 10, 1, 1, 5, 1, 6, 1, 1, 6, 10, 6, 6, 9, 10, 6, 1, 2, 1, 1, 1, 10, 6, 2, 2, 6, 1, 1, 2, 1, 2, 1, 6, 1, 6, 10, 10, 6, 2, 6, 1, 1, 2, 10, 10, 6, 2, 10, 10, 10, 2, 2, 6, 2, 10, 10, 10, 10, 1, 6, 6, 6, 10, 1, 1, 1, 10, 2, 1, 1, 2, 6, 10, 2, 6, 6, 6, 2, 6, 6, 6, 9, 2, 2, 2, 10, 6, 1, 1, 1, 6, 6, 10, 2, 2, 1, 10, 1, 6, 1, 6, 10, 1, 2, 10, 6, 6, 6, 6, 6, 2, 6, 9, 10, 1, 10, 2, 1, 10, 10, 6, 5, 2, 1, 6, 5, 10, 10, 6, 10, 6, 2, 1, 1, 1, 10, 2, 10, 1, 2, 2, 2, 2, 2, 2, 1, 10, 2, 10, 1, 1, 6, 6, 2, 2, 1, 1, 1, 1, 10, 0, 10, 10, 1, 1, 1, 6, 1, 2, 2, 2, 10, 6, 1, 1, 10, 6, 6, 10, 6, 2, 2, 10, 10, 1, 6, 6, 2, 6, 6, 6, 6, 10, 2, 1, 1, 10, 10, 1, 6, 10, 2, 2, 10, 6, 10, 2, 1, 6, 10, 6, 10, 2, 1, 10, 10, 4, 2, 6, 10, 2, 10, 6, 2, 1, 1, 2, 10, 2, 10, 10, 6, 10, 6, 10, 1, 6, 6, 1, 2, 2, 10, 2, 6, 10, 6, 10, 2, 1, 10, 6, 10, 1, 10, 6, 6, 10, 10, 1, 6, 2, 1, 2, 2, 10, 4, 6, 10, 2, 2, 6, 10, 10, 1, 1, 6, 2, 2, 2, 10, 1, 1, 2, 10, 10, 2, 2, 2, 1, 6, 1, 1, 10, 2, 1, 10, 2, 9, 2, 2, 10, 10, 2, 1, 6, 10, 10, 2, 6, 0, 1, 2, 10, 1, 2, 10, 1, 1, 10, 10, 2, 1, 5, 10, 6, 1, 2, 1, 6, 10, 6, 1, 6, 2, 6, 10, 10, 1, 1, 6, 1, 6, 2, 6, 6, 2, 1, 6, 2, 2, 6, 2, 6, 6, 6, 6, 1, 10, 6, 6, 1, 1, 6, 2, 10, 6, 6, 2, 1, 1, 1, 1, 6, 10, 6, 6, 10, 1, 10, 10, 10, 8, 2, 6, 6, 1, 6, 10, 10, 2, 6, 6, 6, 6, 10, 2, 6, 6, 10, 1, 2, 10, 10, 6, 10, 6, 10, 6, 6, 2, 10, 1, 0, 6, 1, 2, 2, 6, 1, 1, 2, 2, 10, 10, 10, 6, 6, 2, 1, 1, 10, 10, 10, 2, 10, 1, 6, 1, 2, 1, 10, 6, 10, 2, 10, 10, 10, 10, 10, 2, 1, 10, 1, 2, 1, 6, 10, 6, 6, 1, 10, 2, 6, 10, 1, 6, 1, 6, 2, 9, 6, 6, 10, 2, 10, 2, 6, 6, 10, 1, 6, 6, 6, 6, 2, 6, 9, 4, 1, 1, 1, 10, 10, 10, 10, 6, 10, 10, 10, 6, 1, 1, 1, 6, 6, 10, 4, 2, 2, 10, 2, 6, 9, 2, 6, 1, 10, 1, 9, 2, 10, 10, 1, 6, 1, 2, 10, 10, 2, 4, 2, 6, 1, 1, 10, 6, 1, 6, 1, 6, 4, 6, 2, 4, 1, 1, 10, 6, 6, 10, 6, 6, 1, 10, 6, 1, 6, 2, 6, 10, 1, 1, 10, 6, 1, 1, 6, 1, 1, 6, 2, 10, 6, 1, 6, 6, 2, 6, 10, 6, 10, 1, 6, 10, 10, 10, 1, 2, 10, 1, 1, 2, 2, 6, 2, 6, 1, 10, 1, 1, 2, 1, 6, 6, 6, 1, 6, 2, 2, 6, 10, 2, 10, 1, 9, 1, 10, 10, 10, 10, 1, 2, 6, 2, 2, 2, 6, 1, 2, 6, 6, 10, 1, 1, 6, 6, 2, 10, 1, 6, 2, 10, 10, 2, 2, 6, 2, 6, 1, 6, 2, 6, 10, 2, 10, 6, 10, 10, 2, 1, 6, 6, 2, 10, 6, 2, 2, 2, 2, 1, 2, 2, 6, 2, 10, 2, 10, 1, 2, 1, 10, 2, 10, 5, 6, 1, 2, 2, 2, 6, 10, 4, 2, 6, 6, 6, 1, 2, 1, 1, 6, 6, 10, 10, 10, 1, 1, 2, 1, 10, 2, 10, 1, 6, 1, 10, 6, 2, 2, 6, 6, 6, 6, 2, 2, 1, 10, 6, 2, 6, 6, 2, 10, 10, 2, 6, 1, 1, 2, 2, 6, 2, 6, 1, 1, 6, 6, 6, 6, 10, 6, 1, 6, 2, 2, 10, 6, 2, 6, 1, 1, 1, 2, 1, 10, 2, 10, 6, 1, 2, 10, 10, 2, 6, 6, 10, 1, 2, 2, 2, 6, 2, 10, 1, 9, 2, 2, 10, 2, 2, 9, 1, 6, 2, 1, 6, 1, 10, 2, 1, 1, 6, 2, 10, 10, 1, 6, 2, 1, 6, 1, 6, 10, 1, 2, 2, 6, 7, 6, 1, 6, 2, 1, 10, 10, 1, 1, 6, 2, 1, 2, 2, 1, 6, 10, 1, 2, 1, 10, 6, 2, 2, 1, 6, 1, 6, 10, 9, 6, 10, 1, 2, 6, 2, 1, 1, 6, 6, 6, 6, 6, 2, 2, 1, 2, 6, 2, 6, 10, 10, 10, 2, 6, 10, 1, 10, 6, 2, 10, 1, 2, 10, 2, 10, 2, 6, 2, 1, 6, 1, 6, 6, 10, 6, 2, 10, 6, 6, 6, 10, 2, 6, 1, 10, 6, 1, 1, 2, 1, 6, 2, 1, 1, 1, 1, 10, 1, 1, 10, 2, 2, 6, 1, 6, 2, 10, 6, 1, 6, 1, 1, 1, 6, 6, 10, 6, 2, 1, 1, 10, 2, 1, 0, 10, 2, 1, 6, 10, 2, 6, 10, 1, 1, 1, 10, 6, 1, 6, 6, 1, 10, 6, 6, 1, 1, 10, 1, 1, 2, 2, 10, 1, 2, 10, 10, 6, 2, 6, 2, 6, 1, 6, 6, 2, 1, 6, 1, 4, 2, 2, 10, 10, 10, 2, 6, 10, 10, 10, 6, 10, 6, 10, 6, 2, 2, 1, 2, 6, 6, 6, 2, 0, 6, 2, 1, 2, 2, 6, 2, 2, 9, 1, 6, 2, 6, 2, 2, 6, 1, 6, 6, 6, 10, 10, 6, 6, 1, 10, 2, 6, 6, 6, 1, 2, 2, 6, 1, 2, 10, 2, 6, 6, 5, 0, 2, 2, 10, 1, 2, 10, 2, 5, 2, 1, 10, 1, 1, 1, 2, 6, 2, 6, 3, 10, 6, 1, 1, 2, 6, 10, 10, 6, 6, 2, 2, 1, 1, 2, 4, 10, 2, 10, 10, 10, 2, 2, 10, 6, 10, 1, 10, 6, 6, 2, 6, 10, 1, 1, 1, 10, 2, 6, 2, 1, 1, 8, 2, 10, 6, 6, 6, 10, 2, 1, 6, 2, 1, 10, 10, 6, 6, 2, 6, 1, 10, 2, 1, 10, 2, 1, 1, 10, 2, 2, 2, 1, 6, 1, 6, 2, 6, 10, 1, 1, 6, 1, 6, 2, 2, 1, 6, 1, 2, 10, 6, 2, 10, 2, 2, 6, 10, 2, 6, 2, 6, 1, 2, 10, 10, 2, 6, 2, 1, 2, 2, 6, 2, 9, 4, 10, 1, 2, 10, 1, 1, 2, 1, 2, 10, 2, 6, 6, 2, 6, 2, 6, 10, 1, 5, 0, 6, 10, 6, 10, 2, 6, 10, 10, 2, 2, 1, 10, 1, 6, 6, 10, 2, 6, 1, 2, 6, 50, 1, 1, 6, 1, 10, 1, 9, 10, 9, 6, 2, 10, 1, 6, 10, 2, 2, 1, 10, 6, 6, 1, 10, 6, 1, 6, 0, 1, 6, 6, 2, 2, 6, 2, 2, 4, 6, 10, 10, 2, 1, 6, 10, 2, 2, 1, 2, 10, 6, 1, 2, 10, 6, 1, 5, 6, 10, 6, 10, 1, 2, 1, 6, 2, 1, 6, 10, 1, 9, 2, 1, 2, 6, 2, 6, 1, 6, 2, 1, 6, 2, 6, 2, 6, 6, 2, 1, 2, 6, 10, 6, 4, 6, 1, 10, 1, 10, 6, 2, 2, 10, 10, 10, 6, 10, 2, 6, 5, 6, 1, 6, 2, 10, 1, 1, 1, 1, 2, 10, 10, 1, 10, 2, 10, 10, 2, 10, 1, 10, 9, 2, 1, 1, 1, 1, 1, 2, 6, 0, 6, 2, 1, 2, 6, 1, 2, 1, 10, 2, 6, 10, 2, 2, 6, 6, 10, 1, 1, 2, 2, 6, 2, 6, 10, 2, 2, 2, 10, 4, 1, 10, 6, 6, 2, 6, 1, 1, 0, 10, 2, 6, 10, 6, 1, 6, 1, 2, 9, 6, 10, 2, 4, 6, 2, 10, 6, 2, 5, 2, 2, 1, 2, 2, 1, 2, 2, 10, 2, 6, 2, 10, 10, 6, 6, 5, 10, 1, 6, 10, 2, 1, 1, 1, 2, 1, 4, 10, 10, 6, 10, 1, 2, 1, 6, 6, 6, 10, 1, 6, 1, 6, 10, 10, 2, 2, 10, 2, 10, 1, 1, 1, 6, 10, 1, 2, 0, 10, 1, 2, 2, 10, 1, 6, 0, 10, 4, 2, 10, 2, 6, 6, 10, 9, 6, 10, 2, 6, 2, 10, 6, 10, 1, 2, 2, 2, 6, 1, 6, 1, 2, 6, 1, 1, 2, 1, 1, 6, 10, 10, 1, 2, 2, 2, 6, 2, 10, 6, 2, 1, 2, 10, 1, 10, 10, 6, 10, 2, 10, 1, 1, 1, 10, 6, 10, 10, 1, 6, 2, 10, 2, 2, 1, 6, 1, 1, 6, 2, 2, 10, 2, 2, 1, 10, 1, 6, 10, 6, 1, 2, 6, 2, 10, 2, 10, 1, 2, 2, 6, 1, 10, 1, 1, 6, 2, 10, 2, 2, 1, 9, 1, 2, 2, 0, 2, 1, 6, 6, 1, 10, 2, 10, 6, 10, 1, 6, 6, 6, 6, 2, 6, 10, 10, 2, 6, 10, 2, 1, 10, 10, 10, 1, 10, 1, 1, 6, 10, 6, 1, 10, 1, 2, 6, 2, 1, 6, 6, 1, 2, 10, 6, 5, 6, 6, 2, 1, 6, 10, 1, 6, 1, 6, 2, 2, 1, 1, 10, 6, 6, 1, 10, 6, 6, 10, 10, 1, 10, 2, 2, 6, 1, 10, 6, 2, 1, 2, 10, 1, 10, 6, 10, 2, 1, 2, 10, 2, 1, 2, 6, 10, 1, 1, 6, 1, 2, 2, 10, 1, 2, 1, 6, 2, 10, 2, 10, 10, 2, 10, 2, 6, 2, 6, 2, 6, 2, 10, 10, 10, 10, 1, 1, 2, 10, 10, 1, 6, 1, 1, 6, 10, 10, 6, 2, 2, 10, 2, 10, 10, 1, 10, 1, 10, 1, 10, 1, 2, 10, 6, 1, 6, 1, 2, 2, 2, 6, 6, 2, 6, 6, 2, 10, 10, 6, 2, 2, 10, 1, 10, 2, 10, 2, 1, 1, 6, 6, 1, 1, 6, 2, 1, 10, 2, 10, 2, 2, 2, 6, 2, 10, 1, 10, 6, 6, 2, 2, 2, 1, 2, 6, 6, 6, 1, 1, 10, 1, 1, 2, 1, 10, 10, 1, 2, 2, 6, 1, 6, 10, 10, 6, 6, 10, 2, 10, 1, 6, 10, 1, 1, 10, 10, 1, 1, 1, 1, 6, 10, 6, 6, 1, 10, 10, 6, 10, 10, 1, 1, 10, 10, 6, 10, 10, 10, 1, 1, 1, 6, 10, 1, 6, 1, 2, 1, 2, 6, 10, 2, 10, 6, 2, 6, 6, 2, 6, 1, 6, 2, 6, 6, 10, 10, 10, 1, 1, 6, 6, 10, 10, 6, 10, 6, 10, 1, 9, 10, 2, 10, 6, 6, 10, 10, 10, 10, 2, 10, 10, 2, 1, 2, 2, 2, 10, 6, 10, 1, 1, 10, 1, 10, 6, 1, 6, 6, 6, 10, 2, 0, 6, 2, 1, 2, 6, 10, 1, 6, 1, 1, 1, 6, 6, 2, 1, 1, 0, 10, 1, 1, 2, 1, 2, 1, 2, 6, 2, 2, 10, 1, 1, 4, 6, 2, 2, 2, 1, 10, 2, 10, 6, 10, 2, 1, 2, 1, 2, 10, 10, 10, 1, 2, 2, 10, 1, 10, 6, 2, 10, 1, 6, 1, 10, 1, 6, 10, 10, 10, 6, 1, 2, 6, 10, 10, 2, 2, 6, 1, 10, 2, 1, 1, 10, 6, 2, 6, 10, 9, 1, 10, 6, 6, 1, 1, 1, 6, 10, 10, 10, 10, 2, 2, 1, 2, 10, 2, 6, 6, 1, 1, 1, 2, 6, 6, 1, 6, 2, 9, 1, 2, 2, 10, 1, 1, 2, 6, 1, 1, 1, 1, 10, 1, 1, 2, 10, 1, 6, 10, 10, 6, 1, 10, 1, 10, 1, 2, 6, 2, 2, 6, 2, 6, 4, 1, 2, 10, 10, 10, 2, 2, 2, 6, 10, 6, 6, 1, 4, 6, 2, 1, 10, 1, 6, 2, 10, 1, 1, 1, 2, 1, 10, 2, 10, 10, 1, 6, 2, 10, 10, 10, 9, 2, 2, 10, 1, 10, 2, 11, 10, 10, 10, 10, 1, 10, 2, 2, 6, 6, 1, 2, 1, 10, 2, 6, 2, 6, 1, 1, 5, 6, 2, 2, 1, 2, 1, 6, 2, 2, 2, 6, 6, 10, 6, 2, 10, 4, 10, 1, 2, 10, 6, 10, 1, 1, 6, 10, 6, 1, 2, 2, 1, 2, 1, 6, 2, 1, 6, 2, 9, 10, 2, 10, 1, 10, 1, 1, 2, 2, 2, 2, 2, 1, 10, 10, 2, 6, 6, 10, 6, 2, 0, 6, 2, 10, 6, 10, 10, 10, 4, 1, 2, 1, 6, 2, 10, 10, 1, 9, 1, 2, 10, 2, 2, 10, 6, 2, 1, 10, 6, 10, 2, 2, 2, 6, 6, 1, 6, 2, 10, 10, 2, 2, 10, 6, 6, 1, 2, 1, 1, 1, 1, 2, 2, 10, 10, 6, 1, 2, 2, 1, 10, 6, 4, 6, 6, 1, 1, 10, 2, 6, 1, 10, 2, 10, 2, 6, 2, 2, 1, 10, 1, 1, 10, 6, 0, 10, 1, 1, 1, 6, 2, 2, 6, 2, 1, 4, 10, 6, 1, 2, 1, 6, 2, 10, 6, 6, 10, 10, 6, 2, 6, 2, 6, 10, 1, 6, 10, 1, 10, 6, 10, 6, 10, 2, 1, 2, 10, 1, 6, 2, 2, 6, 2, 1, 6, 6, 1, 6, 6, 1, 1, 2, 10, 10, 1, 2, 2, 1, 6, 2, 1, 6, 6, 10, 10, 6, 10, 2, 4, 10, 10, 2, 2, 2, 6, 1, 1, 1, 1, 1, 2, 6, 2, 10, 10, 1, 6, 1, 1, 10, 10, 6, 10, 6, 6, 6, 1, 2, 10, 6, 10, 1, 2, 10, 10, 1, 6, 10, 2, 2, 1, 10, 6, 2, 10, 1, 1, 2, 6, 2, 1, 10, 2, 1, 2, 2, 1, 10, 6, 10, 2, 10, 6, 10, 1, 10, 6, 1, 6, 6, 1, 5, 10, 10, 1, 10, 6, 6, 10, 2, 1, 6, 1, 2, 6, 2, 6, 6, 2, 10, 5, 6, 1, 6, 10, 2, 6, 10, 2, 1, 1, 6, 10, 6, 10, 6, 2, 10, 10, 6, 2, 2, 6, 2, 2, 2, 2, 6, 2, 6, 1, 2, 6, 1, 0, 1, 1, 10, 6, 1, 6, 10, 10, 6, 1, 6, 6, 6, 6, 10, 1, 10, 6, 10, 10, 1, 2, 2, 10, 6, 2, 1, 2, 6, 10, 2, 2, 6, 1, 10, 10, 1, 6, 10, 9, 6, 1, 10, 10, 2, 6, 1, 1, 10, 6, 10, 6, 10, 10, 10, 1, 10, 2, 1, 6, 1, 10, 1, 1, 2, 2, 2, 1, 1, 6, 2, 1, 2, 1, 1, 9, 1, 6, 6, 6, 1, 1, 2, 10, 2, 1, 10, 2, 10, 6, 1, 1, 10, 2, 6, 1, 2, 6, 6, 10, 10, 10, 2, 2, 2, 1, 1, 10, 10, 6, 6, 6, 10, 2, 0, 1, 1, 10, 10, 9, 10, 1, 10, 2, 10, 1, 1, 6, 6, 4, 2, 10, 1, 1, 6, 10, 10, 1, 2, 2, 2, 10, 2, 6, 6, 4, 10, 10, 9, 2, 6, 2, 0, 6, 6, 6, 2, 10, 10, 6, 1, 6, 2, 2, 6, 2, 6, 1, 10, 2, 2, 2, 10, 10, 6, 2, 10, 6, 6, 10, 2, 2, 10, 10, 1, 10, 10, 10, 1, 9, 1, 10, 10, 2, 1, 2, 1, 1, 2, 6, 6, 2, 10, 10, 2, 2, 1, 1, 1, 10, 6, 2, 6, 2, 6, 6, 10, 10, 10, 10, 2, 1, 6, 1, 6, 1, 10, 6, 1, 10, 6, 6, 10, 2, 6, 2, 2, 6, 10, 2, 6, 10, 2, 2, 6, 10, 6, 6, 10, 6, 1, 10, 2, 1, 10, 4, 6, 1, 6, 6, 2, 10, 1, 2, 6, 1, 6, 6, 6, 10, 2, 2, 10, 2, 10, 10, 1, 4, 6, 6, 10, 10, 6, 6, 1, 1, 1, 1, 2, 6, 6, 1, 10, 10, 2, 4, 1, 6, 4, 1, 6, 10, 6, 6, 10, 6, 6, 1, 6, 6, 4, 10, 10, 2, 10, 1, 10, 2, 2, 6, 6, 10, 1, 5, 1, 1, 1, 1, 2, 6, 9, 6, 6, 10, 6, 10, 6, 2, 10, 10, 6, 10, 10, 10, 1, 1, 10, 2, 2, 2, 2, 1, 1, 6, 2, 1, 1, 2, 1, 1, 10, 6, 2, 6, 6, 6, 10, 6, 2, 6, 10, 10, 1, 10, 6, 1, 1, 10, 6, 10, 6, 1, 6, 6, 10, 1, 2, 6, 6, 2, 6, 1, 6, 1, 1, 2, 6, 1, 2, 10, 1, 10, 6, 1, 10, 4, 1, 6, 1, 1, 2, 6, 2, 2, 10, 6, 6, 1, 6, 10, 6, 1, 6, 10, 2, 6, 10, 10, 2, 2, 6, 10, 2, 2, 2, 1, 1, 10, 2, 10, 6, 1, 10, 6, 1, 10, 2, 2, 2, 6, 6, 4, 2, 1, 2, 2, 10, 6, 6, 1, 1, 6, 10, 5, 6, 10, 2, 10, 6, 2, 10, 2, 2, 6, 6, 6, 10, 2, 6, 1, 6, 2, 2, 6, 6, 6, 6, 10, 10, 6, 1, 10, 2, 1, 6, 2, 2, 6, 10, 6, 4, 1, 1, 1, 6, 6, 1, 2, 6, 6, 2, 10, 1, 6, 6, 1, 6, 1, 10, 2, 6, 2, 1, 10, 2, 2, 1, 6, 6, 10, 6, 2, 10, 2, 6, 1, 1, 1, 2, 9, 10, 10, 2, 5, 6, 10, 1, 2, 6, 10, 6, 1, 2, 1, 10, 1, 10, 6, 2, 1, 10, 2, 1, 6, 1, 6, 10, 10, 10, 6, 10, 10, 1, 6, 6, 2, 2, 2, 6, 10, 1, 2, 2, 6, 10, 10, 6, 2, 1, 6, 1, 1, 1, 6, 10, 1, 10, 10, 2, 2, 6, 10, 9, 10, 2, 2, 10, 1, 1, 9, 10, 10, 10, 1, 1, 2, 2, 1, 2, 1, 6, 1, 6, 1, 2, 6, 10, 2, 1, 2, 10, 6, 6, 10, 2, 6, 6, 2, 2, 2, 1, 2, 2, 10, 6, 10, 2, 10, 1, 1, 6, 10, 1, 6, 4, 1, 6, 2, 10, 1, 1, 2, 10, 6, 10, 2, 10, 2, 1, 2, 10, 10, 10, 10, 10, 1, 6, 10, 6, 10, 1, 6, 2, 2, 6, 6, 2, 2, 9, 10, 6, 2, 2, 6, 10, 6, 10, 6, 10, 6, 6, 10, 2, 6, 10, 2, 6, 4, 1, 6, 10, 6, 6, 6, 6, 10, 1, 1, 1, 10, 1, 6, 6, 6, 10, 1, 10, 2, 10, 1, 10, 1, 6, 1, 10, 6, 1, 6, 1, 6, 6, 10, 6, 2, 2, 1, 1, 1, 6, 2, 6, 10, 2, 2, 6, 1, 6, 10, 1, 6, 1, 1, 2, 10, 2, 6, 10, 2, 2, 10, 10, 10, 6, 2, 1, 10, 6, 6, 10, 6, 1, 6, 6, 2, 2, 10, 6, 1, 1, 10, 10, 1, 2, 10, 6, 10, 9, 10, 10, 2, 1, 1, 10, 1, 10, 10, 1, 0, 6, 6, 2, 1, 1, 10, 9, 6, 1, 1, 6, 1, 10, 6, 2, 6, 1, 1, 6, 2, 4, 2, 2, 2, 2, 2, 10, 10, 2, 1, 1, 1, 10, 10, 2, 1, 6, 2, 6, 6, 6, 1, 10, 10, 10, 6, 2, 1, 1, 5, 1, 1, 10, 6, 1, 6, 6, 10, 3, 2, 6, 6, 2, 10, 2, 1, 10, 2, 6, 10, 2, 2, 10, 10, 1, 6, 10, 2, 2, 6, 2, 1, 10, 1, 10, 10, 10, 1, 6, 10, 0, 6, 2, 6, 2, 2, 10, 2, 1, 10, 6, 1, 10, 10, 6, 6, 6, 2, 6, 1, 1, 2, 5, 10, 6, 6, 2, 10, 6, 2, 10, 10, 2, 6, 10, 1, 1, 6, 1, 6, 1, 6, 2, 10, 10, 10, 10, 2, 6, 6, 1, 6, 10, 5, 2, 2, 1, 2, 2, 10, 10, 10, 1, 2, 10, 1, 6, 10, 1, 10, 10, 10, 6, 1, 2, 1, 2, 6, 1, 6, 10, 6, 6, 2, 10, 2, 10, 2, 1, 1, 1, 1, 10, 5, 10, 9, 6, 6, 1, 2, 10, 6, 1, 6, 1, 1, 2, 6, 10, 10, 2, 2, 10, 0, 1, 10, 6, 9, 10, 1, 2, 6, 2, 10, 6, 1, 1, 6, 6, 6, 2, 10, 2, 2, 1, 1, 9, 6, 2, 1, 6, 6, 10, 10, 6, 1, 6, 10, 6, 2, 2, 6, 6, 1, 1, 1, 10, 10, 1, 1, 6, 1, 1, 1, 1, 10, 2, 10, 10, 10, 2, 1, 6, 10, 6, 10, 10, 2, 1, 10, 2, 1, 6, 2, 2, 2, 2, 2, 2, 2, 2, 10, 1, 1, 6, 1, 6, 10, 6, 2, 10, 2, 1, 6, 2, 1, 10, 6, 2, 6, 6, 10, 2, 1, 6, 6, 2, 10, 2, 10, 6, 2, 6, 1, 6, 10, 6, 10, 6, 10, 1, 1, 1, 2, 4, 1, 2, 10, 10, 6, 1, 6, 6, 6, 6, 10, 1, 10, 1, 2, 2, 2, 2, 1, 1, 2, 10, 1, 1, 1, 10, 6, 9, 6, 2, 2, 1, 1, 10, 1, 6, 1, 1, 1, 6, 2, 2, 10, 1, 6, 6, 10, 6, 2, 1, 10, 1, 2, 6, 1, 6, 10, 2, 1, 10, 6, 6, 1, 2, 2, 2, 6, 1, 10, 2, 1, 1, 4, 6, 10, 10, 2, 2, 2, 10, 1, 1, 10, 2, 10, 6, 2, 2, 6, 6, 6, 2, 10, 10, 2, 6, 10, 2, 6, 6, 1, 2, 6, 6, 6, 10, 6, 10, 1, 10, 6, 1, 2, 1, 2, 10, 6, 6, 2, 6, 2, 10, 2, 10, 6, 0, 10, 10, 1, 1, 2, 2, 6, 2, 2, 1, 10, 1, 10, 6, 10, 6, 6, 6, 6, 10, 6, 1, 10, 2, 1, 2, 10, 2, 6, 2, 10, 1, 2, 6, 1, 10, 2, 10, 1, 10, 6, 6, 10, 10, 1, 1, 2, 6, 10, 1, 2, 1, 2, 1, 6, 2, 6, 10, 10, 6, 0, 1, 1, 2, 2, 1, 6, 1, 10, 6, 10, 1, 2, 2, 1, 2, 9, 1, 2, 1, 1, 2, 6, 6, 2, 6, 2, 1, 1, 1, 6, 2, 2, 1, 6, 6, 2, 1, 6, 6, 6, 10, 10, 10, 1, 6, 2, 1, 6, 6, 6, 2, 6, 1, 6, 6, 10, 1, 1, 2, 9, 10, 10, 10, 10, 10, 6, 6, 0, 2, 10, 10, 2, 6, 10, 2, 6, 6, 6, 10, 2, 2, 10, 1, 1, 1, 1, 1, 2, 6, 6, 10, 10, 10, 6, 2, 2, 1, 10, 10, 10, 10, 2, 1, 6, 10, 2, 6, 1, 10, 2, 6, 2, 6, 6, 6, 2, 10, 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10, 1, 2, 1, 1, 2, 2, 6, 6, 2, 6, 6, 6, 6, 2, 1, 10, 6, 10, 6, 6, 2, 1, 6, 2, 1, 6, 6, 10, 1, 2, 10, 2, 6, 0, 0, 6, 6, 1, 10, 6, 6, 6, 6, 10, 6, 1, 2, 6, 2, 2, 10, 1, 6, 2, 10, 2, 6, 10, 1, 1, 6, 6, 1, 1, 6, 2, 6, 10, 6, 1, 10, 2, 10, 2, 1, 6, 6, 1, 2, 10, 1, 2, 2, 2, 10, 6, 6, 6, 10, 6, 6, 2, 1, 2, 6, 2, 10, 10, 10, 2, 1, 2, 2, 1, 10, 2, 2, 10, 6, 2, 2, 2, 1, 6, 2, 6, 2, 1, 10, 1, 10, 10, 10, 1, 1, 2, 6, 1, 2, 1, 1, 4, 6, 1, 2, 10, 10, 6, 10, 6, 6, 6, 5, 1, 10, 1, 6, 1, 2, 2, 2, 2, 2, 1, 10, 6, 6, 1, 2, 2, 6, 2, 6, 2, 1, 10, 5, 6, 5, 6, 2, 2, 6, 2, 10, 1, 10, 10, 10, 10, 6, 10, 6, 10, 10, 6, 6, 2, 10, 6, 2, 1, 6, 1, 6, 1, 10, 2, 10, 6, 2, 1, 6, 6, 6, 1, 10, 1, 1, 2, 10, 6, 10, 6, 2, 2, 10, 10, 1, 1, 4, 1, 6, 10, 1, 10, 2, 2, 10, 2, 2, 10, 1, 6, 1, 6, 6, 2, 2, 6, 2, 6, 1, 2, 1, 10, 2, 2, 0, 2, 2, 1, 6, 1, 2, 2, 1, 1, 6, 10, 6, 1, 1, 6, 6, 6, 10, 6, 6, 2, 10, 6, 10, 6, 1, 1, 2, 6, 10, 1, 2, 1, 6, 2, 10, 2, 6, 0, 2, 6, 1, 1, 10, 6, 10, 6, 6, 1, 6, 1, 10, 10, 0, 2, 6, 10, 6, 10, 6, 10, 6, 10, 10, 10, 6, 2, 2, 10, 1, 1, 1, 2, 1, 10, 6, 10, 10, 10, 1, 1, 1, 1, 6, 1, 10, 1, 6, 2, 1, 2, 10, 1, 2, 6, 6, 6, 2, 5, 1, 10, 1, 6, 6, 10, 2, 1, 10, 10, 2, 6, 10, 6, 10, 6, 2, 10, 10, 6, 10, 2, 9, 10, 1, 6, 2, 2, 10, 10, 6, 10, 2, 10, 2, 6, 1, 4, 6, 6, 10, 6, 10, 10, 1, 6, 10, 2, 1, 6, 10, 2, 4, 6, 1, 6, 6, 6, 2, 1, 1, 2, 10, 6, 2, 6, 6, 6, 10, 6, 2, 6, 1, 1, 6, 6, 6, 6, 2, 1, 10, 2, 6, 6, 1, 9, 2, 4, 10, 2, 10, 6, 2, 1, 10, 6, 6, 0, 2, 2, 1, 6, 2, 6, 6, 10, 1, 1, 1, 6, 2, 10, 2, 9, 10, 10, 6, 1, 1, 1, 1, 2, 2, 1, 10, 10, 10, 1, 10, 2, 10, 1, 6, 1, 2, 10, 10, 1, 6, 6, 10, 1, 1, 1, 10, 2, 10, 5, 10, 10, 1, 6, 10, 10, 2, 1, 1, 1, 2, 2, 2, 10, 10, 1, 2, 6, 6, 2, 10, 10, 2, 2, 10, 10, 2, 6, 2, 6, 6, 2, 10, 10, 2, 2, 6, 1, 6, 2, 5, 1, 6, 10, 2, 10, 2, 6, 2, 1, 0, 6, 10, 1, 6, 10, 2, 1, 1, 1, 1, 10, 2, 10, 10, 2, 5, 1, 10, 6, 1, 10, 2, 2, 10, 4, 1, 6, 10, 1, 10, 2, 2, 2, 2, 1, 6, 6, 6, 6, 10, 1, 1, 1, 10, 2, 2, 1, 6, 0, 2, 2, 10, 4, 6, 10, 10, 10, 10, 10, 2, 5, 1, 2, 2, 10, 6, 10, 1, 1, 10, 10, 2, 6, 9, 6, 2, 6, 1, 5, 6, 2, 1, 10, 2, 10, 10, 10, 2, 1, 2, 2, 1, 10, 6, 1, 1, 1, 1, 10, 10, 10, 4, 1, 10, 2, 2, 10, 1, 2, 2, 6, 0, 6, 6, 1, 6, 1, 4, 6, 10, 1, 2, 1, 6, 1, 5, 10, 10, 2, 10, 2, 10, 1, 1, 10, 6, 9, 10, 6, 1, 1, 7, 2, 2, 1, 6, 1, 10, 0, 4, 2, 10, 2, 10, 6, 6, 1, 1, 6, 2, 10, 1, 6, 2, 10, 6, 2, 1, 5, 10, 6, 10, 1, 2, 6, 2, 1, 2, 1, 10, 2, 6, 10, 1, 10, 2, 10, 10, 1, 2, 2, 10, 6, 2, 6, 10, 6, 6, 2, 10, 2, 2, 6, 4, 6, 1, 2, 6, 6, 6, 6, 6, 6, 10, 1, 2, 9, 6, 6, 1, 1, 2, 2, 6, 1, 1, 4, 2, 2, 2, 10, 6, 2, 10, 6, 6, 2, 4, 2, 6, 2, 1, 6, 6, 10, 1, 2, 10, 6, 6, 6, 6, 2, 6, 6, 1, 10, 10, 2, 2, 2, 2, 6, 10, 0, 6, 6, 2, 4, 2, 1, 9, 1, 2, 10, 10, 2, 1, 2, 1, 1, 9, 2, 2, 2, 10, 6, 1, 2, 6, 2, 2, 6, 6, 2, 1, 2, 1, 10, 1, 10, 1, 10, 10, 1, 2, 10, 6, 2, 2, 6, 1, 1, 6, 2, 10, 10, 10, 10, 6, 6, 6, 2, 10, 1, 1, 10, 1, 10, 2, 10, 1, 1, 1, 6, 1, 2, 6, 10, 2, 2, 2, 1, 2, 6, 2, 6, 10, 2, 2, 1, 6, 6, 6, 2, 10, 1, 10, 1, 10, 10, 6, 6, 10, 6, 2, 1, 6, 10, 6, 1, 1, 1, 1, 1, 2, 6, 2, 10, 2, 5, 2, 6, 2, 10, 2, 2, 2, 1, 10, 10, 10, 6, 4, 10, 1, 10, 6, 10, 2, 2, 1, 10, 10, 6, 2, 1, 6, 1, 1, 10, 10, 6, 2, 9, 2, 2, 10, 1, 10, 1, 10, 6, 1, 10, 6, 6, 1, 2, 6, 2, 10, 10, 10, 1, 10, 10, 0, 10, 10, 0, 1, 6, 10, 6, 6, 2, 6, 2, 10, 2, 1, 10, 10, 6, 10, 10, 1, 10, 10, 10, 2, 6, 2, 4, 6, 10, 6, 1, 10, 6, 10, 10, 6, 6, 1, 2, 6, 6, 10, 6, 1, 2, 6, 2, 1, 2, 1, 9, 2, 6, 1, 10, 10, 4, 1, 2, 6, 10, 10, 10, 2, 1, 6, 1, 1, 9, 1, 1, 2, 2, 10, 6, 6, 2, 1, 1, 6, 0, 10, 1, 1, 6, 2, 1, 1, 10, 6, 10, 1, 6, 2, 1, 6, 1, 6, 2, 10, 1, 10, 1, 1, 1, 6, 2, 2, 1, 1, 2, 2, 6, 10, 6, 10, 6, 1, 1, 6, 10, 2, 1, 10, 1, 2, 6, 10, 10, 6, 1, 10, 2, 1, 1, 10, 1, 1, 10, 1, 10, 10, 2, 2, 10, 2, 10, 1, 6, 6, 1, 6, 6, 1, 9, 6, 1, 10, 1, 10, 6, 1, 4, 10, 1, 1, 2, 2, 10, 2, 10, 6, 1, 6, 10, 5, 2, 6, 2, 2, 1, 10, 2, 2, 6, 10, 10, 1, 6, 6, 1, 2, 5, 10, 6, 2, 10, 10, 6, 10, 6, 1, 6, 2, 5, 6, 1, 6, 2, 10, 1, 10, 10, 10, 10, 1, 1, 6, 1, 10, 9, 9, 6, 10, 1, 10, 2, 6, 1, 2, 1, 1, 6, 2, 1, 1, 10, 10, 2, 2, 1, 6, 6, 6, 2, 1, 1, 10, 1, 10, 2, 1, 6, 10, 1, 10, 1, 8, 10, 1, 6, 1, 2, 6, 10, 10, 1, 0, 2, 2, 6, 6, 2, 6, 2, 10, 9, 1, 10, 6, 1, 2, 6, 6, 10, 6, 10, 10, 6, 4, 2, 5, 10, 1, 1, 1, 6, 2, 2, 1, 1, 1, 10, 1, 2, 6, 10, 2, 6, 6, 5, 1, 2, 6, 6, 2, 10, 6, 10, 10, 6, 40, 6, 6, 10, 10, 2, 2, 2, 1, 10, 1, 1, 2, 2, 2, 10, 10, 10, 6, 10, 2, 2, 6, 6, 2, 10, 1, 10, 2, 9, 10, 6, 2, 6, 1, 10, 6, 9, 2, 3, 6, 1, 1, 2, 6, 2, 1, 1, 1, 1, 1, 6, 6, 2, 10, 6, 2, 6, 1, 1, 2, 1, 1, 1, 6, 2, 6, 6, 6, 1, 2, 10, 6, 10, 1, 2, 10, 6, 10, 6, 1, 2, 1, 2, 10, 6, 2, 6, 1, 5, 2, 2, 6, 9, 10, 1, 6, 2, 6, 6, 6, 2, 6, 1, 6, 2, 1, 1, 6, 1, 10, 10, 10, 10, 10, 2, 1, 10, 6, 6, 6, 1, 6, 6, 1, 1, 10, 1, 2, 2, 6, 6, 2, 1, 6, 6, 2, 1, 6, 1, 10, 6, 1, 1, 1, 1, 10, 10, 2, 1, 10, 1, 2, 10, 1, 1, 6, 6, 1, 10, 2, 10, 10, 6, 1, 1, 1, 10, 6, 6, 1, 1, 6, 6, 10, 1, 10, 2, 3, 6, 1, 4, 2, 2, 10, 1, 10, 10, 1, 2, 6, 1, 10, 2, 10, 2, 2, 5, 1, 10, 2, 1, 6, 2, 10, 6, 6, 10, 6, 6, 1, 1, 6, 10, 2, 10, 1, 1, 2, 6, 6, 10, 6, 2, 2, 6, 10, 1, 6, 10, 2, 10, 6, 2, 10, 1, 2, 10, 6, 6, 10, 10, 1, 1, 6, 6, 10, 2, 6, 6, 6, 2, 1, 2, 1, 10, 1, 10, 10, 10, 2, 6, 10, 1, 6, 1, 6, 1, 10, 10, 10, 1, 6, 2, 2, 9, 2, 1, 6, 1, 10, 1, 6, 6, 10, 10, 2, 6, 2, 10, 6, 6, 1, 10, 1, 1, 10, 2, 0, 2, 6, 6, 10, 6, 9, 2, 6, 1, 2, 2, 10, 1, 10, 2, 6, 2, 1, 1, 2, 6, 1, 2, 10, 1, 6, 2, 1, 1, 1, 10, 6, 2, 1, 1, 6, 1, 1, 2, 10, 2, 2, 1, 6, 1, 10, 6, 10, 10, 10, 6, 6, 10, 9, 6, 10, 1, 10, 2, 2, 2, 9, 2, 10, 10, 2, 10, 1, 2, 1, 10, 6, 2, 2, 6, 10, 2, 10, 1, 2, 2, 6, 10, 2, 5, 10, 10, 6, 10, 10, 10, 1, 10, 10, 6, 2, 2, 2, 6, 1, 2, 1, 6, 5, 10, 10, 6, 10, 2, 10, 2, 1, 6, 2, 10, 1, 1, 1, 1, 10, 1, 1, 2, 1, 10, 10, 6, 6, 2, 1, 2, 10, 1, 6, 10, 10, 1, 2, 10, 1, 10, 2, 1, 1, 10, 10, 1, 10, 2, 2, 2, 2, 1, 10, 1, 1, 1, 10, 6, 6, 2, 6, 4, 1, 2, 10, 1, 2, 2, 1, 6, 1, 10, 2, 6, 1, 2, 6, 10, 10, 10, 10, 6, 1, 6, 4, 2, 1, 1, 5, 6, 10, 1, 10, 1, 6, 1, 1, 1, 2, 2, 1, 2, 2, 6, 6, 1, 10, 6, 10, 1, 1, 6, 10, 1, 10, 10, 10, 10, 1, 6, 6, 1, 6, 6, 2, 2, 1, 1, 2, 6, 1, 2, 10, 10, 2, 2, 2, 2, 2, 10, 10, 1, 2, 6, 2, 2, 2, 1, 1, 2, 1, 2, 6, 0, 10, 1, 6, 2, 1, 10, 2, 2, 6, 2, 10, 1, 2, 2, 1, 2, 2, 10, 1, 2, 2, 2, 1, 1, 10, 10, 10, 2, 10, 2, 10, 2, 4, 2, 2, 6, 10, 1, 1, 5, 1, 1, 10, 10, 10, 6, 1, 6, 2, 2, 1, 1, 10, 10, 6, 6, 6, 10, 10, 10, 6, 1, 6, 10, 2, 10, 2, 6, 9, 2, 6, 6, 10, 1, 10, 1, 1, 10, 10, 6, 2, 0, 2, 10, 1, 1, 2, 10, 10, 10, 2, 6, 6, 2, 0, 2, 10, 10, 1, 2, 6, 10, 1, 10, 6, 10, 10, 1, 10, 1, 6, 6, 2, 1, 1, 1, 6, 6, 6, 6, 6, 2, 10, 1, 2, 2, 6, 10, 6, 1, 6, 1, 2, 1, 6, 6, 1, 6, 10, 1, 6, 6, 6, 1, 1, 10, 10, 6, 1, 1, 6, 2, 6, 2, 1, 10, 10, 10, 1, 2, 10, 1, 2, 1, 10, 6, 2, 2, 1, 6, 6, 10, 6, 10, 2, 1, 2, 1, 2, 1, 6, 10, 1, 2, 1, 2, 10, 6, 6, 10, 1, 6, 2, 10, 10, 6, 6, 10, 10, 2, 6, 1, 6, 10, 5, 1, 6, 10, 10, 2, 2, 1, 2, 2, 6, 6, 2, 6, 6, 6, 2, 1, 2, 2, 2, 1, 2, 2, 6, 2, 6, 2, 6, 6, 2, 1, 10, 1, 10, 10, 2, 2, 2, 1, 1, 10, 1, 10, 2, 1, 6, 6, 1, 2, 6, 1, 6, 2, 1, 2, 10, 6, 9, 2, 2, 6, 5, 2, 2, 10, 1, 1, 6, 1, 1, 1, 6, 1, 10, 6, 2, 6, 6, 10, 10, 6, 6, 6, 6, 2, 10, 2, 6, 6, 6, 2, 10, 2, 6, 2, 1, 10, 2, 6, 10, 10, 10, 1, 10, 6, 2, 10, 4, 10, 2, 6, 2, 2, 2, 1, 10, 2, 2, 6, 6, 2, 0, 6, 6, 1, 2, 10, 1, 1, 6, 10, 10, 2, 10, 6, 6, 0, 6, 1, 6, 1, 6, 6, 10, 1, 10, 1, 6, 10, 1, 2, 10, 6, 6, 10, 10, 2, 6, 2, 10, 10, 10, 2, 1, 1, 6, 2, 1, 1, 2, 6, 6, 2, 6, 0, 6, 1, 5, 10, 6, 1, 6, 2, 2, 2, 6, 1, 10, 1, 6, 2, 6, 1, 2, 10, 6, 10, 6, 10, 2, 1, 10, 1, 6, 6, 10, 0, 1, 2, 6, 2, 2, 2, 1, 1, 1, 10, 2, 1, 10, 6, 6, 1, 2, 6, 6, 2, 6, 2, 10, 1, 1, 50, 2, 6, 1, 2, 2, 10, 10, 6, 6, 6, 1, 6, 2, 10, 10, 2, 10, 2, 10, 6, 5, 5, 6, 10, 1, 2, 2, 10, 6, 1, 2, 2, 2, 10, 2, 2, 10, 6, 6, 1, 10, 2, 6, 2, 10, 10, 1, 6, 10, 5, 1, 10, 2, 0, 10, 1, 2, 6, 2, 10, 1, 6, 1, 1, 6, 6, 2, 2, 6, 1, 9, 10, 6, 2, 1, 10, 1, 10, 4, 10, 9, 6, 6, 1, 2, 10, 1, 1, 2, 1, 10, 1, 1, 6, 1, 10, 6, 6, 2, 6, 6, 10, 10, 10, 1, 10, 6, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 10, 1, 6, 1, 10, 1, 10, 10, 6, 1, 2, 6, 1, 10, 1, 1, 5, 10, 6, 2, 2, 1, 2, 10, 6, 2, 10, 2, 2, 10, 1, 1, 2, 1, 2, 2, 1, 1, 6, 6, 10, 2, 1, 2, 1, 1, 2, 1, 6, 6, 4, 10, 2, 2, 2, 10, 6, 1, 1, 1, 2, 6, 10, 6, 10, 10, 10, 2, 2, 2, 2, 6, 2, 6, 6, 10, 1, 6, 10, 10, 2, 6, 1, 1, 10, 2, 6, 6, 1, 2, 10, 2, 2, 10, 1, 2, 6, 6, 6, 2, 6, 60, 6, 10, 6, 2, 10, 1, 6, 2, 10, 10, 10, 1, 6, 1, 10, 4, 10, 10, 2, 10, 2, 1, 2, 10, 6, 6, 1, 10, 10, 1, 10, 6, 2, 6, 6, 1, 6, 6, 6, 6, 5, 1, 6, 10, 10, 10, 0, 2, 10, 2, 10, 6, 10, 10, 6, 10, 2, 1, 1, 6, 6, 10, 2, 10, 6, 10, 1, 10, 1, 2, 1, 6, 6, 10, 10, 10, 2, 1, 6, 6, 2, 10, 10, 2, 10, 1, 1, 6, 2, 10, 1, 1, 6, 2, 10, 1, 10, 1, 2, 10, 10, 10, 2, 10, 6, 6, 6, 10, 1, 2, 9, 2, 1, 1, 10, 9, 2, 6, 6, 10, 2, 2, 1, 10, 6, 2, 1, 1, 10, 2, 6, 10, 10, 1, 10, 10, 6, 1, 2, 10, 5, 2, 2, 10, 10, 1, 6, 2, 1, 2, 6, 1, 10, 2, 2, 10, 10, 10, 10, 10, 1, 6, 10, 10, 1, 1, 10, 1, 2, 6, 6, 5, 10, 6, 10, 6, 2, 6, 1, 2, 10, 10, 6, 6, 6, 1, 1, 1, 10, 10, 2, 6, 2, 2, 2, 10, 10, 1, 1, 2, 6, 1, 2, 6, 10, 6, 6, 10, 1, 6, 6, 1, 10, 10, 6, 10, 10, 0, 10, 2, 10, 6, 1, 2, 6, 10, 10, 6, 2, 6, 2, 2, 10, 2, 10, 2, 1, 10, 1, 1, 1, 10, 2, 1, 2, 2, 10, 1, 6, 6, 1, 10, 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10, 2, 6, 1, 1, 1, 2, 10, 1, 1, 10, 2, 6, 1, 1, 2, 10, 10, 10, 1, 10, 1, 1, 10, 1, 1, 6, 2, 1, 2, 2, 10, 6, 1, 10, 1, 2, 6, 2, 1, 10, 2, 10, 2, 6, 2, 6, 6, 1, 1, 1, 10, 6, 10, 1, 10, 1, 10, 10, 6, 10, 2, 1, 9, 6, 1, 2, 6, 6, 6, 10, 9, 1, 1, 10, 6, 2, 10, 1, 1, 6, 6, 1, 1, 10, 1, 10, 6, 10, 2, 6, 1, 1, 10, 6, 5, 6, 10, 6, 1, 2, 10, 1, 0, 6, 10, 1, 1, 10, 10, 10, 6, 10, 2, 2, 2, 1, 10, 2, 1, 10, 2, 2, 2, 10, 2, 10, 10, 1, 2, 6, 10, 2, 1, 2, 1, 10, 1, 6, 6, 2, 10, 4, 1, 1, 6, 10, 2, 6, 1, 6, 6, 2, 1, 2, 10, 1, 2, 1, 10, 1, 1, 5, 2, 2, 2, 10, 2, 1, 6, 2, 10, 2, 6, 6, 10, 6, 10, 1, 6, 2, 2, 6, 1, 1, 2, 1, 1, 2, 10, 1, 10, 10, 6, 6, 1, 2, 6, 10, 1, 1, 2, 10, 2, 6, 10, 1, 6, 2, 6, 2, 1, 10, 2, 10, 1, 2, 1, 10, 10, 6, 10, 6, 10, 6, 1, 1, 9, 2, 10, 10, 10, 10, 10, 1, 1, 1, 10, 2, 0, 2, 2, 10, 6, 10, 6, 1, 2, 2, 5, 10, 2, 10, 10, 6, 2, 6, 6, 5, 2, 10, 1, 6, 1, 1, 9, 1, 6, 10, 1, 1, 6, 10, 1, 10, 10, 2, 10, 2, 2, 6, 1, 10, 1, 2, 2, 2, 2, 2, 10, 6, 6, 6, 10, 2, 6, 2, 6, 6, 10, 6, 2, 1, 2, 2, 2, 2, 10, 6, 2, 1, 2, 6, 2, 1, 2, 10, 10, 1, 1, 2, 2, 1, 1, 1, 2, 10, 6, 10, 1, 6, 2, 10, 2, 10, 1, 1, 10, 9, 10, 1, 10, 10, 10, 10, 1, 6, 6, 10, 6, 10, 1, 6, 10, 6, 1, 6, 6, 6, 6, 6, 10, 2, 2, 10, 10, 10, 9, 2, 10, 6, 2, 1, 1, 10, 2, 10, 6, 10, 6, 6, 6, 1, 2, 1, 6, 2, 10, 2, 10, 10, 2, 6, 6, 1, 10, 6, 10, 6, 2, 5, 1, 10, 9, 6, 10, 6, 2, 1, 2, 2, 2, 6, 10, 9, 2, 1, 6, 2, 5, 2, 1, 1, 2, 6, 1, 6, 1, 1, 2, 6, 6, 6, 1, 10, 6, 10, 6, 6, 1, 6, 10, 2, 1, 2, 10, 1, 2, 2, 2, 6, 10, 1, 10, 6, 10, 0, 1, 6, 10, 1, 10, 2, 10, 1, 1, 10, 10, 1, 10, 2, 6, 6, 6, 10, 2, 6, 1, 10, 6, 2, 10, 10, 10, 10, 6, 6, 1, 2, 1, 2, 2, 6, 10, 6, 1, 2, 2, 6, 10, 6, 6, 6, 10, 1, 6, 10, 10, 2, 6, 1, 10, 2, 2, 2, 1, 10, 6, 2, 1, 10, 6, 2, 10, 5, 2, 10, 2, 6, 2, 2, 2, 10, 2, 10, 6, 2, 1, 2, 6, 6, 2, 6, 6, 2, 2, 2, 6, 6, 6, 6, 1, 6, 6, 0, 10, 0, 1, 2, 2, 2, 10, 2, 10, 10, 2, 6, 2, 1, 1, 6, 1, 10, 1, 1, 6, 2, 6, 2, 10, 10, 2, 1, 2, 10, 1, 1, 1, 2, 6, 1, 10, 10, 10, 1, 2, 2, 6, 1, 1, 2, 1, 6, 1, 10, 10, 10, 2, 10, 1, 10, 1, 10, 10, 2, 2, 10, 10, 2, 6, 1, 1, 1, 1, 2, 2, 2, 2, 6, 5, 6, 1, 1, 2, 6, 2, 10, 2, 10, 6, 10, 6, 6, 10, 2, 6, 1, 6, 2, 2, 10, 2, 0, 6, 6, 1, 6, 1, 1, 2, 2, 1, 2, 10, 6, 10, 6, 1, 6, 1, 1, 4, 10, 2, 1, 10, 6, 2, 10, 6, 0, 10, 5, 2, 2, 2, 10, 9, 2, 6, 6, 2, 2, 1, 6, 6, 4, 6, 2, 2, 6, 6, 10, 5, 2, 5, 4, 2, 6, 1, 6, 6, 6, 6, 2, 6, 1, 6, 10, 10, 10, 10, 2, 0, 1, 1, 2, 2, 2, 10, 10, 2, 10, 6, 10, 10, 6, 10, 1, 1, 6, 2, 1, 6, 10, 10, 10, 2, 6, 6, 6, 1, 2, 10, 6, 2, 10, 6, 1, 10, 6, 2, 2, 2, 1, 6, 6, 1, 2, 1, 1, 2, 10, 1, 6, 6, 1, 1, 2, 6, 2, 10, 2, 1, 1, 6, 2, 2, 0, 6, 2, 2, 10, 6, 6, 6, 2, 6, 10, 1, 6, 6, 1, 1, 2, 10, 1, 1, 2, 1, 2, 1, 1, 10, 6, 1, 6, 10, 2, 1, 6, 2, 10, 2, 10, 2, 10, 2, 2, 10, 10, 6, 6, 2, 10, 10, 5, 5, 2, 10, 2, 1, 2, 10, 2, 1, 10, 2, 2, 6, 6, 1, 6, 6, 10, 10, 1, 1, 10, 6, 6, 2, 10, 6, 1, 6, 1, 6, 6, 2, 10, 2, 1, 2, 6, 1, 10, 10, 5, 6, 1, 10, 2, 10, 6, 6, 1, 1, 10, 1, 10, 1, 6, 10, 1, 2, 9, 2, 6, 1, 6, 6, 2, 6, 1, 10, 2, 10, 2, 2, 6, 1, 10, 2, 4, 2, 10, 6, 1, 6, 6, 10, 1, 6, 1, 10, 2, 6, 6, 40, 1, 6, 2, 1, 1, 10, 10, 1, 1, 1, 2, 2, 6, 6, 2, 2, 1, 10, 6, 6, 1, 6, 6, 10, 10, 10, 6, 2, 6, 1, 2, 2, 2, 1, 2, 6, 1, 6, 1, 10, 2, 2, 2, 10, 4, 9, 10, 2, 6, 1, 10, 10, 2, 10, 1, 6, 6, 10, 2, 6, 6, 2, 10, 2, 10, 1, 10, 6, 1, 6, 1, 1, 1, 10, 2, 1, 6, 1, 1, 2, 6, 1, 6, 2, 1, 6, 2, 10, 1, 2, 6, 10, 2, 1, 1, 1, 2, 10, 1, 10, 10, 6, 6, 1, 10, 2, 6, 1, 2, 2, 1, 10, 1, 2, 6, 2, 6, 6, 6, 1, 1, 2, 1, 5, 4, 10, 6, 10, 6, 6, 10, 6, 2, 10, 10, 1, 10, 10, 1, 6, 2, 2, 2, 2, 1, 2, 6, 10, 4, 6, 10, 6, 2, 2, 5, 1, 6, 10, 6, 9, 1, 6, 6, 10, 2, 2, 6, 2, 6, 2, 2, 2, 10, 6, 6, 2, 10, 10, 10, 1, 10, 1, 10, 2, 2, 6, 1, 6, 1, 6, 6, 10, 10, 1, 10, 2, 6, 2, 2, 6, 6, 10, 1, 10, 6, 10, 1, 10, 6, 1, 1, 6, 2, 2, 6, 1, 10, 1, 2, 2, 2, 2, 6, 6, 10, 1, 10, 2, 6, 6, 6, 2, 2, 2, 6, 2, 10, 6, 6, 10, 6, 1, 6, 10, 2, 1, 1, 10, 9, 6, 1, 1, 1, 0, 10, 1, 2, 1, 4, 10, 6, 2, 6, 10, 10, 10, 2, 1, 10, 10, 2, 6, 1, 1, 2, 10, 2, 2, 9, 2, 6, 2, 6, 2, 6, 10, 6, 6, 6, 10, 2, 6, 1, 2, 2, 1, 1, 1, 1, 10, 10, 1, 6, 2, 1, 1, 10, 2, 10, 6, 2, 6, 1, 2, 1, 2, 1, 1, 6, 5, 2, 10, 1, 2, 1, 1, 2, 10, 2, 1, 1, 6, 10, 2, 6, 1, 6, 10, 2, 2, 1, 10, 10, 6, 6, 6, 10, 10, 10, 2, 2, 6, 2, 10, 2, 10, 0, 1, 6, 6, 1, 2, 6, 1, 2, 10, 2, 2, 1, 10, 2, 6, 10, 6, 1, 2, 6, 6, 2, 10, 10, 6, 6, 1, 1, 10, 10, 10, 2, 6, 2, 10, 2, 1, 2, 2, 10, 6, 1, 1, 10, 2, 1, 6, 6, 10, 6, 6, 2, 1, 1, 2, 10, 6, 6, 6, 2, 6, 2, 1, 6, 6, 2, 10, 2, 2, 1, 9, 2, 6, 1, 9, 10, 6, 1, 10, 10, 10, 10, 1, 6, 1, 2, 6, 10, 1, 2, 10, 10, 6, 10, 6, 10, 2, 2, 1, 2, 2, 1, 6, 2, 6, 10, 1, 1, 2, 1, 6, 10, 2, 1, 6, 10, 10, 6, 6, 10, 2, 10, 6, 1, 2, 6, 2, 6, 1, 1, 2, 10, 10, 1, 1, 2, 6, 6, 6, 10, 6, 2, 10, 10, 6, 1, 1, 2, 1, 2, 1, 1, 1, 6, 6, 5, 2, 1, 1, 6, 2, 2, 2, 10, 6, 1, 2, 6, 1, 1, 6, 5, 1, 40, 2, 2, 10, 1, 6, 2, 1, 10, 6, 1, 1, 6, 1, 6, 1, 10, 2, 6, 1, 10, 0, 2, 1, 10, 1, 2, 1, 1, 10, 2, 10, 2, 10, 6, 6, 2, 1, 2, 6, 6, 1, 2, 10, 2, 1, 10, 6, 10, 2, 6, 1, 1, 2, 2, 10, 1, 1, 10, 6, 1, 6, 1, 10, 6, 40, 6, 1, 10, 6, 10, 6, 2, 10, 6, 1, 6, 10, 2, 1, 10, 40, 2, 6, 4, 6, 2, 1, 2, 2, 1, 1, 6, 10, 6, 10, 10, 1, 2, 6, 10, 5, 6, 10, 6, 10, 6, 1, 1, 2, 10, 6, 1, 2, 6, 2, 6, 10, 6, 6, 6, 6, 10, 1, 10, 10, 10, 1, 10, 6, 10, 2, 10, 10, 6, 2, 1, 6, 2, 2, 1, 2, 1, 1, 6, 6, 1, 10, 2, 10, 5, 2, 10, 1, 10, 10, 1, 6, 10, 6, 6, 6, 6, 10, 10, 10, 6, 6, 2, 1, 10, 2, 10, 1, 4, 6, 6, 6, 1, 2, 1, 2, 6, 6, 1, 6, 2, 4, 6, 1, 1, 2, 10, 4, 2, 4, 1, 6, 1, 1, 10, 1, 6, 1, 10, 2, 2, 10, 2, 2, 6, 2, 10, 6, 10, 9, 2, 6, 10, 10, 2, 6, 2, 6, 10, 6, 2, 1, 10, 2, 1, 6, 1, 10, 2, 2, 1, 1, 6, 2, 10, 10, 1, 6, 10, 1, 1, 1, 6, 10, 10, 2, 10, 6, 1, 6, 2, 10, 1, 10, 6, 10, 10, 1, 6, 1, 6, 2, 1, 9, 6, 6, 2, 10, 6, 2, 1, 10, 1, 2, 2, 1, 2, 10, 4, 2, 1, 6, 1, 10, 10, 2, 10, 6, 2, 6, 10, 6, 10, 1, 2, 10, 10, 2, 6, 2, 10, 2, 10, 6, 6, 10, 2, 10, 2, 1, 6, 6, 2, 6, 1, 2, 1, 1, 2, 1, 10, 1, 10, 10, 6, 2, 10, 1, 1, 4, 5, 2, 10, 1, 6, 1, 6, 2, 2, 6, 1, 6, 10, 10, 6, 1, 6, 2, 10, 2, 1, 6, 10, 10, 2, 10, 2, 6, 2, 6, 1, 6, 6, 10, 1, 6, 2, 1, 6, 1, 10, 6, 6, 10, 10, 6, 2, 6, 6, 1, 10, 10, 10, 1, 6, 10, 2, 10, 1, 1, 1, 10, 6, 6, 6, 1, 1, 0, 1, 1, 2, 6, 2, 6, 1, 1, 6, 10, 2, 1, 1, 1, 10, 2, 1, 6, 1, 1, 10, 10, 6, 10, 2, 1, 10, 4, 6, 1, 6, 1, 6, 2, 1, 1, 2, 2, 10, 6, 1, 1, 1, 2, 1, 10, 10, 6, 1, 2, 2, 2, 2, 10, 1, 2, 10, 6, 10, 6, 2, 2, 6, 1, 1, 10, 6, 6, 0, 1, 6, 2, 2, 6, 1, 6, 6, 6, 2, 10, 6, 1, 1, 9, 2, 2, 1, 2, 10, 6, 10, 10, 2, 10, 6, 10, 1, 2, 0, 9, 9, 1, 6, 9, 1, 6, 10, 2, 5, 6, 6, 1, 10, 6, 2, 2, 1, 6, 2, 10, 2, 10, 10, 5, 6, 10, 6, 10, 2, 10, 2, 1, 6, 1, 0, 2, 2, 6, 2, 10, 6, 1, 1, 2, 2, 1, 2, 5, 1, 6, 1, 6, 1, 2, 10, 6, 1, 2, 1, 6, 10, 10, 2, 1, 6, 1, 1, 2, 6, 1, 2, 10, 10, 6, 6, 1, 1, 2, 9, 2, 6, 6, 2, 1, 1, 2, 1, 1, 1, 6, 2, 1, 6, 1, 2, 1, 1, 6, 1, 1, 10, 50, 1, 2, 2, 6, 1, 6, 2, 6, 10, 10, 2, 10, 2, 10, 1, 2, 1, 10, 1, 6, 10, 1, 2, 6, 60, 2, 1, 10, 1, 10, 2, 6, 6, 10, 1, 6, 2, 1, 10, 6, 1, 10, 10, 10, 10, 2, 1, 2, 1, 2, 6, 2, 6, 6, 2, 2, 2, 1, 1, 10, 10, 6, 6, 2, 2, 10, 2, 6, 10, 6, 6, 6, 6, 10, 6, 10, 2, 2, 2, 2, 2, 10, 10, 10, 10, 2, 10, 1, 6, 1, 4, 1, 2, 1, 2, 1, 10, 10, 3, 10, 4, 1, 2, 2, 1, 2, 6, 6, 10, 10, 10, 1, 10, 2, 2, 6, 0, 6, 2, 6, 1, 1, 6, 2, 6, 10, 10, 9, 10, 10, 6, 2, 1, 2, 1, 10, 6, 6, 10, 10, 2, 2, 1, 2, 6, 2, 6, 1, 10, 10, 0, 2, 6, 0, 2, 2, 10, 6, 2, 6, 2, 6, 2, 10, 10, 6, 1, 2, 2, 10, 6, 1, 6, 10, 10, 1, 2, 1, 6, 10, 6, 9, 10, 2, 1, 6, 10, 1, 1, 6, 1, 1, 2, 1, 6, 1, 6, 6, 2, 10, 6, 10, 10, 10, 10, 10, 2, 6, 1, 9, 6, 10, 2, 1, 2, 1, 2, 1, 10, 1, 10, 2, 10, 2, 10, 1, 10, 2, 2, 6, 10, 2, 10, 6, 6, 2, 9, 1, 6, 2, 6, 10, 1, 10, 4, 10, 1, 2, 2, 1, 0, 6, 50, 1, 6, 10, 2, 10, 10, 2, 2, 1, 2, 2, 10, 2, 2, 6, 1, 1, 2, 6, 2, 6, 1, 1, 1, 1, 2, 2, 1, 10, 2, 10, 6, 2, 1, 10, 2, 2, 2, 10, 2, 10, 6, 10, 10, 10, 1, 6, 10, 2, 4, 6, 1, 10, 2, 1, 2, 5, 6, 1, 2, 10, 6, 1, 1, 2, 1, 2, 6, 1, 1, 1, 1, 6, 2, 6, 10, 1, 1, 10, 2, 10, 1, 10, 10, 1, 10, 2, 6, 6, 2, 6, 5, 6, 10, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 10, 6, 10, 2, 2, 2, 10, 10, 1, 10, 2, 2, 1, 0, 6, 2, 1, 10, 10, 2, 6, 10, 10, 10, 10, 1, 2, 1, 10, 2, 1, 10, 2, 1, 1, 1, 1, 1, 10, 1, 10, 10, 1, 10, 2, 10, 6, 6, 10, 50, 10, 10, 1, 2, 6, 2, 1, 1, 6, 2, 2, 1, 1, 6, 10, 7, 6, 6, 1, 10, 2, 1, 1, 2, 6, 10, 6, 10, 6, 10, 10, 10, 6, 10, 1, 2, 1, 6, 10, 6, 6, 10, 6, 1, 10, 10, 2, 10, 2, 1, 2, 6, 6, 1, 6, 10, 10, 6, 6, 2, 6, 1, 10, 2, 1, 10, 6, 6, 1, 1, 10, 1, 10, 6, 6, 1, 2, 10, 10, 1, 1, 10, 1, 5, 2, 1, 6, 10, 1, 2, 6, 2, 2, 6, 2, 5, 1, 10, 1, 10, 1, 2, 10, 10, 10, 1, 1, 6, 10, 2, 9, 10, 6, 6, 2, 10, 10, 2, 10, 6, 2, 6, 10, 10, 6, 2, 2, 2, 10, 2, 10, 10, 6, 2, 2, 10, 1, 2, 10, 1, 2, 10, 6, 2, 10, 2, 10, 6, 6, 6, 1, 6, 1, 1, 2, 1, 1, 6, 1, 6, 1, 10, 10, 10, 6, 1, 10, 6, 6, 1, 4, 2, 10, 10, 2, 2, 10, 6, 10, 6, 1, 6, 1, 2, 2, 2, 6, 0, 10, 1, 1, 10, 10, 10, 2, 10, 1, 0, 10, 6, 2, 2, 6, 1, 1, 10, 6, 2, 1, 2, 2, 10, 1, 2, 10, 9, 5, 10, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 10, 2, 2, 6, 9, 2, 6, 6, 6, 6, 6, 1, 10, 10, 1, 1, 10, 4, 2, 10, 6, 6, 2, 1, 1, 4, 1, 2, 2, 6, 2, 1, 6, 2, 6, 1, 4, 1, 6, 1, 1, 10, 10, 6, 1, 6, 10, 10, 6, 10, 6, 10, 10, 6, 2, 10, 1, 2, 2, 1, 2, 6, 2, 10, 10, 1, 2, 6, 10, 10, 1, 10, 1, 6, 1, 6, 2, 1, 5, 2, 1, 2, 2, 1, 10, 10, 6, 10, 2, 6, 6, 1, 10, 10, 6, 2, 1, 10, 10, 1, 10, 2, 10, 1, 6, 10, 1, 6, 6, 2, 6, 6, 1, 9, 6, 2, 10, 40, 2, 2, 1, 6, 6, 1, 6, 1, 10, 6, 10, 10, 6, 10, 1, 10, 10, 1, 1, 1, 6, 2, 10, 8, 2, 10, 6, 10, 2, 10, 6, 1, 1, 2, 1, 2, 2, 10, 0, 1, 6, 6, 10, 10, 6, 10, 1, 6, 1, 6, 5, 2, 1, 6, 2, 1, 6, 1, 10, 2, 6, 10, 1, 1, 10, 10, 10, 1, 10, 2, 6, 10, 10, 6, 2, 2, 4, 2, 2, 1, 10, 10, 6, 6, 1, 10, 2, 2, 6, 1, 1, 1, 1, 6, 6, 2, 1, 1, 2, 1, 2, 2, 10, 2, 1, 6, 6, 10, 6, 6, 6, 1, 10, 6, 2, 6, 2, 2, 1, 2, 2, 1, 6, 6, 1, 1, 6, 2, 10, 6, 2, 9, 10, 10, 10, 6, 6, 1, 6, 6, 2, 1, 4, 6, 2, 2, 2, 1, 1, 10, 2, 2, 1, 2, 1, 2, 10, 6, 2, 10, 10, 0, 2, 2, 10, 6, 6, 2, 2, 1, 2, 1, 6, 2, 10, 1, 1, 6, 2, 10, 1, 10, 10, 1, 1, 10, 2, 10, 2, 10, 1, 2, 2, 1, 6, 2, 10, 6, 1, 10, 2, 6, 2, 1, 6, 6, 10, 9, 2, 10, 2, 6, 1, 6, 2, 10, 2, 1, 10, 2, 2, 2, 10, 1, 2, 2, 6, 10, 1, 6, 1, 6, 2, 6, 1, 10, 1, 1, 6, 2, 6, 10, 10, 0, 1, 10, 6, 6, 1, 6, 1, 2, 6, 10, 2, 10, 2, 1, 6, 2, 10, 6, 10, 6, 6, 2, 4, 0, 6, 10, 2, 2, 2, 2, 10, 1, 1, 2, 1, 6, 5, 10, 1, 1, 10, 1, 6, 1, 6, 10, 6, 1, 1, 10, 9, 6, 1, 2, 2, 2, 10, 1, 10, 6, 10, 6, 10, 10, 2, 1, 2, 1, 1, 1, 1, 6, 10, 2, 6, 1, 2, 1, 10, 1, 6, 2, 2, 6, 6, 2, 2, 10, 10, 10, 6, 10, 4, 10, 6, 2, 6, 2, 2, 2, 6, 1, 2, 1, 10, 6, 1, 2, 1, 40, 2, 2, 10, 2, 6, 5, 2, 6, 1, 10, 1, 2, 6, 1, 10, 6, 6, 10, 2, 1, 10, 10, 10, 1, 2, 2, 1, 6, 10, 2, 1, 6, 2, 6, 6, 1, 1, 1, 10, 2, 1, 2, 1, 6, 10, 6, 2, 6, 10, 10, 6, 6, 1, 10, 10, 6, 10, 10, 6, 6, 10, 2, 1, 2, 2, 1, 2, 1, 2, 6, 10, 2, 6, 6, 10, 1, 10, 6, 2, 6, 6, 1, 6, 6, 10, 2, 10, 2, 2, 1, 10, 1, 1, 10, 6, 10, 10, 2, 1, 6, 9, 1, 2, 1, 1, 1, 6, 2, 6, 2, 1, 2, 0, 4, 6, 1, 6, 1, 6, 6, 10, 1, 2, 1, 1, 6, 2, 2, 1, 10, 6, 2, 6, 1, 10, 10, 1, 6, 2, 1, 10, 1, 1, 0, 10, 6, 1, 10, 5, 10, 10, 10, 6, 10, 6, 10, 10, 1, 10, 10, 6, 2, 2, 1, 2, 2, 6, 2, 1, 6, 1, 1, 6, 2, 1, 6, 6, 6, 2, 6, 2, 2, 10, 6, 6, 10, 1, 6, 1, 1, 1, 2, 10, 2, 6, 2, 6, 6, 1, 6, 2, 2, 10, 1, 6, 1, 6, 4, 10, 1, 1, 6, 6, 10, 1, 4, 6, 6, 10, 10, 2, 10, 10, 2, 6, 6, 2, 10, 1, 6, 1, 8, 2, 6, 10, 6, 10, 2, 6, 10, 2, 2, 0, 2, 6, 1, 10, 10, 10, 1, 6, 1, 1, 1, 2, 10, 10, 10, 6, 10, 6, 2, 10, 10, 2, 5, 6, 6, 2, 1, 2, 1, 10, 10, 1, 2, 10, 1, 1, 6, 10, 2, 10, 5, 1, 2, 10, 10, 1, 1, 2, 10, 10, 10, 10, 6, 10, 2, 1, 1, 2, 10, 6, 6, 2, 6, 1, 2, 2, 4, 6, 6, 1, 10, 10, 6, 6, 2, 2, 10, 5, 10, 2, 1, 10, 2, 2, 10, 2, 1, 2, 10, 6, 10, 1, 1, 1, 6, 1, 1, 1, 2, 2, 10, 6, 2, 10, 1, 2, 6, 2, 2, 2, 10, 1, 10, 2, 2, 1, 2, 6, 9, 1, 6, 6, 6, 10, 6, 2, 0, 10, 6, 10, 6, 6, 2, 1, 6, 1, 2, 2, 2, 10, 1, 1, 6, 1, 0, 6, 10, 2, 10, 2, 2, 10, 6, 1, 2, 2, 1, 10, 1, 1, 10, 6, 6, 1, 2, 10, 2, 1, 2, 6, 10, 6, 1, 2, 2, 2, 6, 2, 6, 1, 10, 2, 2, 10, 10, 9, 6, 2, 10, 10, 10, 6, 6, 2, 10, 6, 6, 6, 10, 2, 2, 2, 10, 1, 10, 1, 6, 1, 6, 10, 6, 1, 2, 2, 6, 2, 10, 6, 10, 2, 6, 2, 2, 2, 6, 6, 6, 2, 1, 6, 6, 10, 2, 6, 1, 6, 2, 6, 6, 10, 10, 4, 2, 2, 1, 1, 2, 1, 10, 9, 6, 2, 1, 10, 1, 6, 6, 10, 6, 6, 1, 10, 6, 10, 10, 10, 6, 10, 10, 2, 1, 1, 6, 2, 6, 1, 2, 2, 6, 6, 1, 6, 1, 10, 6, 1, 2, 2, 2, 6, 2, 2, 10, 10, 10, 1, 2, 2, 2, 2, 6, 2, 10, 1, 10, 6, 2, 10, 2, 1, 6, 1, 10, 6, 1, 10, 6, 1, 2, 6, 9, 6, 1, 2, 2, 6, 10, 6, 6, 1, 2, 2, 6, 1, 2, 6, 6, 2, 1, 1, 2, 1, 2, 2, 2, 2, 10, 2, 10, 2, 6, 2, 1, 1, 1, 6, 10, 6, 1, 10, 1, 10, 10, 2, 10, 10, 2, 10, 10, 1, 10, 6, 2, 4, 6, 9, 6, 6, 1, 1, 1, 6, 2, 2, 10, 6, 10, 10, 1, 1, 6, 6, 1, 10, 10, 6, 2, 2, 2, 6, 10, 10, 2, 1, 6, 6, 1, 1, 10, 2, 2, 2, 1, 2, 10, 6, 2, 2, 6, 10, 10, 10, 10, 2, 6, 10, 6, 10, 10, 1, 10, 10, 2, 2, 6, 1, 6, 6, 10, 1, 1, 10, 6, 10, 6, 1, 10, 2, 1, 10, 1, 10, 1, 2, 2, 2, 10, 10, 10, 10, 10, 6, 2, 1, 1, 6, 6, 10, 10, 6, 10, 6, 1, 1, 2, 2, 6, 6, 10, 6, 0, 2, 6, 1, 10, 6, 2, 2, 10, 2, 6, 10, 6, 2, 2, 5, 10, 2, 1, 6, 2, 1, 4, 6, 10, 10, 2, 6, 2, 10, 10, 6, 10, 2, 10, 6, 6, 1, 6, 10, 6, 6, 2, 10, 1, 6, 2, 6, 1, 6, 1, 2, 6, 1, 2, 2, 6, 6, 10, 1, 2, 1, 1, 10, 6, 1, 10, 2, 1, 1, 10, 0, 6, 1, 2, 1, 1, 6, 10, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 6, 10, 6, 6, 1, 2, 10, 1, 2, 6, 2, 10, 2, 10, 1, 10, 10, 6, 10, 2, 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1, 1, 2, 2, 6, 2, 2, 6, 10, 6, 6, 1, 2, 2, 1, 0, 10, 10, 1, 2, 10, 2, 10, 10, 6, 6, 1, 10, 2, 1, 2, 2, 10, 2, 2, 2, 10, 2, 10, 1, 1, 2, 6, 6, 2, 10, 6, 1, 10, 10, 6, 2, 2, 1, 6, 5, 6, 1, 6, 10, 1, 2, 1, 2, 2, 6, 1, 1, 2, 6, 6, 6, 10, 4, 6, 1, 6, 2, 6, 2, 1, 6, 10, 2, 6, 10, 10, 2, 6, 2, 10, 10, 2, 10, 1, 2, 10, 6, 10, 10, 2, 2, 9, 2, 2, 6, 6, 6, 6, 2, 2, 1, 10, 10, 10, 6, 6, 6, 2, 10, 10, 10, 2, 10, 6, 10, 2, 2, 10, 10, 2, 10, 10, 2, 6, 4, 1, 6, 6, 2, 2, 1, 6, 10, 10, 10, 1, 6, 2, 2, 2, 2, 6, 10, 1, 1, 1, 6, 10, 1, 6, 10, 10, 1, 10, 6, 10, 10, 2, 6, 2, 6, 6, 2, 6, 6, 1, 10, 1, 2, 10, 6, 2, 1, 2, 1, 2, 10, 6, 1, 6, 1, 10, 1, 2, 2, 10, 6, 2, 1, 2, 6, 10, 10, 2, 10, 1, 6, 10, 9, 6, 10, 2, 5, 10, 1, 6, 10, 10, 1, 6, 10, 10, 1, 6, 1, 2, 10, 6, 1, 10, 1, 2, 10, 2, 6, 2, 2, 6, 10, 2, 2, 10, 1, 1, 6, 6, 1, 1, 1, 1, 2, 2, 1, 10, 2, 2, 10, 6, 6, 2, 10, 6, 2, 1, 10, 6, 2, 2, 2, 10, 6, 6, 1, 6, 1, 6, 6, 10, 1, 10, 10, 10, 4, 0, 10, 2, 10, 10, 2, 6, 1, 2, 1, 6, 2, 2, 10, 6, 4, 2, 1, 1, 6, 1, 6, 1, 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6, 2, 2, 10, 1, 10, 1, 1, 2, 6, 2, 1, 10, 10, 10, 10, 6, 1, 2, 1, 10, 10, 2, 2, 2, 10, 6, 2, 2, 10, 1, 10, 4, 10, 6, 1, 2, 6, 2, 6, 2, 10, 10, 1, 2, 10, 6, 1, 1, 2, 2, 6, 10, 2, 10, 2, 6, 10, 6, 1, 10, 1, 2, 6, 1, 10, 10, 2, 1, 6, 6, 10, 1, 2, 1, 10, 2, 6, 6, 1, 10, 6, 10, 6, 6, 10, 1, 2, 6, 2, 1, 10, 1, 1, 1, 2, 6, 2, 10, 1, 6, 9, 6, 6, 6, 6, 6, 6, 6, 10, 10, 6, 1, 1, 10, 6, 10, 10, 1, 2, 10, 1, 6, 10, 6, 10, 2, 2, 6, 2, 10, 1, 10, 1, 6, 1, 6, 10, 6, 10, 1, 6, 10, 10, 6, 1, 6, 2, 2, 4, 6, 2, 10, 6, 2, 6, 2, 2, 6, 1, 2, 6, 10, 10, 6, 10, 2, 10, 6, 10, 1, 2, 1, 10, 1, 2, 6, 2, 1, 6, 1, 6, 1, 10, 1, 1, 10, 6, 1, 10, 1, 2, 2, 4, 10, 6, 2, 6, 1, 10, 10, 10, 1, 6, 2, 2, 10, 2, 10, 2, 2, 6, 6, 10, 1, 1, 2, 6, 1, 2, 10, 5, 2, 10, 2, 1, 6, 2, 0, 2, 5, 2, 6, 2, 2, 2, 2, 1, 6, 2, 6, 2, 1, 10, 10, 10, 1, 6, 9, 6, 10, 2, 6, 6, 1, 2, 2, 10, 6, 10, 1, 1, 1, 6, 10, 6, 10, 2, 1, 2, 6, 6, 10, 2, 1, 1, 6, 10, 4, 5, 2, 2, 6, 6, 2, 9, 1, 6, 2, 2, 10, 6, 0, 6, 10, 1, 2, 10, 10, 10, 10, 1, 9, 6, 6, 6, 2, 6, 2, 6, 1, 6, 1, 6, 2, 2, 6, 1, 2, 2, 1, 1, 1, 5, 10, 10, 10, 1, 1, 2, 2, 2, 6, 0, 10, 1, 1, 10, 2, 10, 6, 2, 6, 10, 2, 10, 2, 1, 6, 10, 1, 10, 6, 1, 10, 1, 2, 10, 6, 2, 6, 10, 10, 1, 10, 2, 10, 10, 10, 2, 6, 10, 6, 2, 6, 1, 1, 6, 2, 1, 10, 6, 6, 2, 10, 6, 1, 6, 6, 10, 6, 2, 5, 6, 2, 6, 6, 2, 1, 2, 10, 1, 0, 6, 6, 6, 1, 1, 2, 2, 10, 6, 6, 2, 10, 1, 1, 10, 1, 2, 1, 10, 6, 2, 6, 1, 2, 10, 1, 6, 10, 10, 2, 1, 1, 10, 10, 2, 10, 10, 6, 10, 2, 2, 1, 10, 1, 1, 10, 6, 6, 1, 10, 9, 2, 1, 1, 6, 2, 2, 10, 0, 6, 1, 2, 1, 1, 6, 10, 6, 2, 1, 10, 1, 10, 10, 1, 1, 2, 1, 10, 2, 6, 2, 6, 6, 2, 1, 6, 6, 2, 2, 2, 5, 6, 5, 10, 1, 10, 1, 10, 6, 2, 6, 2, 2, 6, 1, 6, 6, 10, 6, 10, 10, 2, 6, 10, 10, 6, 6, 10, 10, 6, 2, 2, 5, 10, 10, 2, 6, 10, 1, 6, 2, 10, 6, 1, 2, 2, 1, 6, 2, 1, 2, 10, 1, 6, 10, 2, 5, 0, 2, 10, 6, 6, 2, 6, 10, 10, 6, 6, 6, 2, 2, 6, 6, 6, 2, 1, 10, 10, 10, 10, 6, 6, 10, 6, 1, 1, 1, 5, 2, 1, 2, 10, 6, 10, 1, 6, 6, 6, 1, 6, 9, 6, 2, 6, 1, 1, 10, 1, 2, 1, 2, 6, 2, 6, 2, 1, 1, 10, 6, 6, 1, 6, 2, 6, 6, 1, 10, 2, 6, 1, 4, 6, 10, 10, 2, 10, 10, 1, 2, 1, 10, 2, 0, 6, 6, 2, 1, 6, 2, 2, 6, 0, 1, 1, 10, 6, 1, 6, 10, 10, 2, 6, 2, 10, 1, 6, 1, 6, 1, 2, 2, 10, 5, 10, 2, 1, 2, 6, 10, 2, 1, 1, 10, 1, 2, 2, 10, 2, 1, 6, 2, 2, 10, 10, 9, 2, 1, 2, 10, 2, 6, 2, 10, 10, 10, 2, 6, 10, 2, 2, 6, 6, 2, 2, 1, 10, 1, 2, 1, 6, 1, 6, 1, 10, 2, 10, 1, 2, 6, 1, 10, 10, 6, 6, 10, 2, 1, 2, 10, 6, 1, 10, 2, 2, 10, 10, 10, 2, 2, 10, 6, 2, 1, 5, 1, 1, 10, 2, 2, 10, 6, 10, 6, 0, 2, 6, 2, 5, 2, 2, 1, 1, 6, 10, 2, 1, 2, 1, 6, 1, 6, 1, 9, 6, 1, 6, 1, 1, 1, 10, 2, 1, 6, 2, 9, 2, 1, 6, 2, 2, 6, 10, 5, 6, 1, 10, 6, 2, 1, 10, 6, 1, 1, 10, 6, 6, 10, 10, 6, 1, 3, 1, 1, 2, 2, 10, 10, 10, 1, 10, 1, 6, 2, 10, 1, 6, 6, 2, 6, 10, 10, 6, 6, 3, 6, 1, 6, 6, 10, 10, 6, 6, 2, 6, 2, 2, 2, 2, 6, 6, 2, 1, 10, 2, 10, 1, 10, 1, 6, 10, 6, 1, 10, 2, 10, 2, 6, 10, 10, 10, 2, 2, 9, 2, 2, 6, 5, 10, 1, 6, 1, 1, 6, 6, 10, 2, 1, 1, 2, 1, 1, 1, 2, 1, 10, 9, 2, 6, 2, 1, 10, 10, 2, 9, 10, 2, 1, 2, 6, 6, 2, 10, 1, 2, 6, 2, 6, 2, 2, 10, 2, 1, 1, 2, 6, 6, 2, 1, 6, 0, 6, 2, 1, 2, 4, 2, 2, 10, 1, 0, 2, 2, 6, 2, 6, 6, 1, 6, 1, 1, 1, 2, 6, 6, 6, 2, 6, 1, 10, 10, 10, 2, 6, 6, 10, 10, 10, 10, 10, 2, 2, 2, 1, 10, 1, 10, 6, 10, 2, 2, 10, 2, 1, 10, 2, 0, 2, 5, 6, 6, 1, 10, 6, 1, 10, 10, 10, 3, 2, 1, 6, 2, 1, 1, 2, 6, 10, 5, 6, 2, 6, 2, 4, 10, 2, 1, 10, 1, 1, 6, 6, 9, 6, 6, 2, 6, 1, 2, 2, 2, 10, 10, 2, 6, 10, 2, 6, 2, 10, 2, 6, 10, 6, 1, 10, 6, 4, 9, 6, 10, 1, 10, 2, 1, 6, 2, 2, 2, 2, 1, 2, 5, 10, 2, 2, 2, 2, 6, 1, 1, 10, 10, 6, 1, 2, 2, 2, 1, 10, 6, 10, 2, 1, 10, 10, 10, 10, 2, 1, 2, 2, 6, 5, 10, 6, 10, 2, 4, 5, 1, 6, 1, 10, 1, 10, 6, 6, 2, 10, 10, 10, 10, 6, 6, 9, 2, 6, 10, 1, 10, 1, 1, 10, 2, 4, 2, 6, 6, 1, 10, 6, 6, 10, 2, 1, 6, 2, 2, 6, 10, 2, 1, 6, 6, 10, 10, 1, 10, 10, 6, 10, 1, 1, 10, 6, 1, 1, 6, 10, 10, 10, 6, 1, 10, 4, 6, 6, 10, 6, 2, 1, 1, 2, 1, 1, 1, 10, 10, 0, 10, 6, 10, 10, 6, 10, 10, 1, 2, 10, 2, 5, 2, 10, 10, 10, 9, 1, 1, 10, 10, 2, 1, 10, 6, 2, 10, 1, 1, 1, 10, 2, 1, 2, 2, 1, 10, 4, 10, 6, 6, 6, 1, 2, 2, 10, 2, 6, 6, 10, 10, 10, 10, 1, 6, 6, 10, 6, 10, 1, 1, 6, 10, 2, 6, 6, 10, 1, 6, 10, 10, 1, 1, 10, 6, 2, 6, 6, 10, 2, 6, 6, 5, 1, 10, 6, 1, 2, 6, 1, 1, 2, 2, 2, 2, 2, 6, 6, 2, 1, 6, 1, 10, 2, 6, 4, 6, 2, 6, 10, 1, 1, 2, 10, 6, 10, 6, 1, 6, 6, 1, 6, 2, 1, 6, 2, 1, 1, 2, 1, 1, 10, 2, 2, 1, 1, 10, 1, 10, 6, 6, 10, 6, 6, 1, 6, 1, 6, 2, 10, 6, 10, 2, 2, 10, 2, 1, 10, 2, 10, 10, 6, 2, 2, 10, 5, 10, 6, 1, 2, 1, 6, 0, 2, 4, 6, 10, 6, 10, 6, 1, 2, 10, 6, 10, 10, 10, 1, 6, 10, 6, 2, 6, 10, 1, 2, 10, 1, 1, 6, 6, 2, 0, 2, 1, 6, 6, 1, 6, 1, 10, 2, 1, 2, 10, 6, 6, 1, 2, 1, 6, 2, 1, 10, 10, 1, 6, 1, 10, 6, 10, 10, 10, 1, 10, 1, 10, 1, 6, 1, 2, 2, 1, 2, 6, 10, 2, 6, 1, 1, 1, 10, 2, 2, 2, 1, 1, 6, 6, 10, 1, 6, 2, 6, 10, 10, 10, 6, 2, 10, 6, 1, 6, 2, 2, 6, 10, 4, 10, 10, 6, 10, 2, 2, 2, 1, 1, 2, 2, 6, 10, 10, 2, 10, 2, 10, 5, 1, 10, 6, 6, 6, 10, 1, 6, 2, 2, 2, 1, 10, 1, 6, 2, 6, 6, 2, 1, 2, 6, 2, 10, 10, 10, 6, 10, 6, 1, 6, 1, 2, 10, 6, 10, 6, 2, 1, 10, 2, 10, 10, 1, 10, 2, 1, 6, 6, 10, 6, 6, 10, 1, 6, 1, 10, 1, 2, 10, 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10, 10, 10, 1, 10, 6, 6, 2, 2, 2, 2, 2, 10, 9, 6, 2, 1, 2, 1, 9, 10, 2, 1, 6, 10, 2, 10, 6, 1, 10, 1, 10, 6, 2, 10, 6, 2, 5, 2, 1, 2, 4, 1, 6, 6, 2, 2, 10, 10, 6, 6, 1, 10, 6, 6, 10, 2, 10, 2, 2, 1, 10, 10, 1, 2, 10, 6, 1, 1, 6, 10, 6, 10, 2, 2, 2, 2, 6, 1, 1, 1, 10, 2, 6, 2, 1, 2, 2, 6, 6, 1, 1, 2, 10, 2, 6, 10, 1, 10, 1, 2, 2, 6, 10, 2, 2, 2, 1, 1, 1, 10, 10, 1, 1, 10, 10, 6, 6, 1, 10, 6, 1, 10, 6, 6, 1, 10, 6, 2, 1, 6, 6, 2, 2, 6, 10, 2, 10, 2, 1, 1, 1, 1, 6, 6, 1, 2, 6, 1, 6, 10, 1, 1, 10, 1, 1, 6, 2, 1, 1, 10, 6, 10, 10, 2, 1, 10, 10, 1, 6, 2, 10, 10, 2, 1, 2, 10, 6, 2, 2, 10, 1, 10, 1, 10, 10, 6, 1, 2, 2, 2, 10, 6, 4, 1, 6, 10, 6, 10, 6, 6, 2, 10, 6, 6, 10, 6, 2, 2, 6, 1, 2, 1, 6, 1, 6, 2, 1, 10, 10, 1, 10, 9, 6, 2, 10, 1, 1, 2, 1, 10, 1, 6, 4, 1, 2, 10, 1, 2, 6, 10, 10, 1, 10, 2, 1, 6, 6, 10, 1, 10, 6, 6, 1, 1, 2, 6, 1, 9, 1, 6, 6, 10, 10, 9, 1, 1, 1, 2, 1, 10, 10, 2, 10, 10, 1, 6, 2, 2, 2, 2, 1, 1, 6, 1, 2, 6, 1, 1, 2, 6, 2, 1, 10, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 6, 6, 2, 10, 1, 2, 10, 10, 2, 10, 1, 1, 10, 2, 6, 10, 1, 1, 2, 10, 2, 2, 2, 10, 10, 6, 9, 6, 2, 2, 1, 6, 5, 6, 1, 6, 1, 2, 6, 9, 10, 2, 6, 1, 6, 10, 10, 1, 10, 1, 6, 2, 10, 10, 6, 2, 2, 1, 6, 1, 10, 10, 1, 6, 10, 10, 2, 10, 2, 6, 10, 6, 6, 2, 1, 2, 2, 1, 1, 1, 1, 10, 1, 6, 2, 6, 10, 10, 1, 6, 10, 10, 1, 6, 10, 2, 2, 1, 10, 6, 6, 10, 1, 10, 2, 6, 2, 6, 10, 10, 5, 2, 2, 6, 1, 1, 10, 1, 6, 2, 1, 6, 2, 2, 6, 40, 6, 2, 1, 10, 2, 10, 10, 6, 2, 10, 1, 2, 10, 5, 1, 6, 2, 1, 1, 1, 1, 6, 2, 6, 1, 2, 10, 6, 2, 1, 10, 6, 2, 6, 2, 10, 2, 6, 1, 4, 1, 2, 1, 10, 4, 6, 10, 2, 10, 10, 2, 1, 1, 6, 10, 2, 6, 10, 1, 6, 1, 2, 1, 6, 2, 10, 6, 2, 1, 6, 1, 6, 2, 2, 2, 10, 6, 1, 6, 10, 10, 0, 2, 2, 1, 1, 1, 1, 1, 10, 6, 1, 10, 6, 2, 2, 10, 10, 2, 2, 1, 6, 2, 6, 2, 1, 10, 2, 6, 10, 10, 10, 2, 10, 6, 2, 1, 10, 6, 9, 6, 10, 10, 6, 2, 2, 6, 2, 1, 10, 6, 2, 6, 6, 10, 2, 10, 10, 2, 2, 6, 1, 4, 2, 1, 1, 6, 4, 1, 10, 10, 1, 2, 6, 10, 2, 10, 2, 10, 10, 2, 1, 6, 6, 6, 10, 1, 6, 10, 1, 6, 10, 6, 2, 2, 2, 0, 1, 6, 2, 1, 2, 1, 2, 6, 1, 4, 6, 1, 1, 1, 2, 10, 10, 2, 10, 6, 10, 2, 10, 10, 1, 6, 6, 2, 10, 10, 2, 1, 6, 6, 2, 2, 1, 2, 2, 6, 10, 10, 2, 6, 10, 2, 5, 10, 6, 6, 10, 1, 0, 10, 10, 10, 2, 10, 2, 2, 6, 6, 1, 2, 10, 10, 6, 10, 10, 1, 6, 1, 2, 2, 2, 6, 1, 1, 2, 6, 2, 1, 1, 1, 2, 2, 6, 10, 6, 1, 10, 10, 1, 2, 1, 10, 6, 1, 6, 10, 1, 10, 10, 1, 6, 2, 10, 6, 10, 2, 2, 2, 10, 1, 2, 10, 4, 0, 2, 10, 2, 2, 1, 2, 6, 2, 1, 6, 2, 2, 1, 9, 2, 1, 1, 6, 6, 10, 2, 1, 6, 1, 10, 10, 6, 6, 1, 10, 6, 10, 2, 10, 1, 1, 1, 6, 1, 10, 1, 2, 2, 6, 1, 6, 2, 10, 2, 10, 1, 10, 6, 10, 10, 10, 6, 6, 1, 2, 2, 10, 2, 2, 1, 6, 10, 10, 1, 1, 1, 2, 1, 1, 4, 10, 2, 10, 2, 10, 10, 2, 2, 6, 10, 2, 1, 1, 2, 2, 2, 2, 6, 10, 2, 10, 6, 2, 1, 1, 10, 6, 6, 2, 10, 1, 10, 10, 10, 10, 0, 2, 6, 1, 10, 6, 10, 10, 1, 6, 1, 4, 10, 1, 6, 1, 1, 6, 10, 6, 1, 6, 6, 1, 1, 2, 6, 6, 2, 10, 10, 10, 1, 6, 2, 10, 10, 10, 1, 6, 10, 1, 1, 1, 1, 10, 2, 6, 1, 6, 10, 6, 6, 6, 2, 6, 2, 2, 2, 10, 1, 2, 10, 10, 2, 0, 10, 10, 6, 10, 2, 10, 1, 2, 10, 2, 10, 6, 1, 6, 10, 10, 6, 10, 1, 6, 10, 6, 2, 6, 2, 0, 10, 10, 10, 1, 1, 10, 6, 10, 6, 2, 1, 10, 1, 10, 1, 2, 10, 1, 10, 2, 6, 10, 2, 10, 1, 10, 5, 2, 2, 4, 10, 2, 9, 90, 1, 6, 1, 2, 6, 10, 1, 10, 10, 10, 2, 10, 10, 10, 10, 1, 10, 6, 2, 6, 10, 10, 2, 6, 9, 2, 2, 1, 10, 6, 1, 6, 6, 10, 1, 10, 6, 10, 10, 1, 6, 1, 2, 2, 1, 2, 6, 1, 1, 2, 6, 10, 1, 6, 2, 10, 2, 6, 2, 1, 10, 2, 2, 7, 2, 1, 1, 1, 10, 10, 6, 1, 2, 1, 2, 6, 10, 1, 6, 10, 2, 2, 2, 1, 6, 2, 2, 10, 10, 6, 10, 2, 6, 2, 2, 6, 6, 10, 6, 6, 1, 4, 1, 10, 2, 2, 2, 9, 9, 10, 10, 2, 1, 10, 6, 1, 2, 6, 6, 6, 10, 10, 2, 1, 6, 6, 6, 2, 6, 6, 2, 10, 9, 1, 2, 1, 1, 2, 1, 1, 2, 10, 9, 10, 2, 1, 10, 6, 2, 6, 2, 2, 2, 2, 2, 1, 6, 6, 1, 6, 1, 2, 10, 1, 6, 2, 2, 2, 2, 10, 1, 1, 6, 1, 1, 1, 10, 10, 1, 6, 2, 6, 2, 6, 10, 10, 6, 6, 1, 2, 6, 6, 2, 6, 2, 1, 6, 1, 6, 1, 2, 10, 6, 6, 10, 2, 2, 10, 10, 1, 1, 2, 2, 1, 2, 10, 1, 2, 6, 1, 10, 1, 6, 2, 10, 10, 1, 10, 10, 6, 10, 2, 1, 2, 6, 6, 1, 2, 2, 2, 2, 5, 10, 10, 10, 10, 2, 6, 10, 10, 1, 1, 1, 10, 1, 10, 1, 10, 1, 1, 5, 6, 1, 10, 6, 1, 10, 2, 2, 10, 6, 1, 2, 2, 6, 10, 6, 1, 10, 6, 6, 2, 5, 10, 10, 6, 4, 2, 1, 6, 2, 10, 10, 2, 6, 1, 1, 2, 4, 10, 2, 2, 1, 6, 2, 5, 2, 1, 10, 10, 2, 6, 1, 10, 1, 2, 2, 10, 10, 1, 2, 2, 2, 6, 10, 2, 1, 6, 10, 6, 10, 1, 2, 2, 6, 1, 10, 1, 1, 2, 6, 10, 2, 6, 2, 6, 2, 2, 1, 1, 6, 2, 2, 6, 6, 10, 1, 10, 2, 1, 1, 2, 6, 10, 1, 10, 9, 2, 6, 2, 6, 6, 10, 10, 1, 10, 2, 6, 6, 6, 10, 10, 2, 2, 0, 2, 10, 1, 10, 2, 6, 1, 2, 2, 1, 2, 10, 4, 1, 6, 10, 2, 10, 6, 2, 10, 10, 6, 1, 10, 1, 10, 10, 4, 10, 10, 1, 2, 1, 6, 2, 6, 1, 1, 1, 1, 2, 6, 6, 6, 6, 1, 6, 6, 6, 2, 1, 6, 10, 6, 10, 1, 1, 6, 6, 1, 1, 1, 10, 2, 10, 1, 1, 2, 10, 1, 10, 6, 1, 10, 2, 1, 6, 6, 10, 1, 10, 2, 6, 0, 2, 6, 2, 2, 1, 2, 6, 2, 1, 10, 10, 10, 6, 1, 10, 6, 10, 1, 2, 6, 10, 1, 2, 2, 10, 2, 6, 10, 10, 1, 10, 2, 6, 2, 10, 1, 2, 10, 10, 6, 6, 1, 10, 2, 5, 10, 2, 2, 2, 2, 10, 2, 10, 1, 6, 2, 6, 10, 1, 2, 2, 10, 10, 2, 2, 1, 6, 10, 6, 1, 1, 6, 6, 2, 10, 10, 1, 10, 1, 2, 10, 2, 10, 6, 1, 1, 10, 1, 6, 6, 10, 6, 1, 10, 4, 6, 1, 10, 10, 0, 6, 1, 6, 1, 2, 2, 1, 1, 2, 6, 10, 6, 10, 10, 2, 10, 1, 10, 2, 2, 6, 2, 6, 2, 10, 6, 10, 6, 9, 1, 10, 1, 2, 2, 0, 10, 6, 2, 2, 10, 2, 1, 1, 1, 2, 2, 6, 6, 10, 0, 10, 1, 1, 1, 2, 2, 2, 1, 6, 6, 10, 1, 2, 1, 2, 2, 1, 6, 6, 6, 1, 6, 6, 6, 2, 2, 10, 10, 1, 1, 10, 2, 10, 1, 5, 2, 10, 10, 2, 10, 2, 2, 1, 10, 6, 10, 2, 10, 1, 10, 6, 10, 2, 1, 1, 6, 1, 1, 2, 2, 6, 2, 10, 10, 1, 1, 6, 10, 6, 6, 1, 10, 1, 1, 10, 6, 2, 1, 2, 10, 2, 6, 2, 10, 1, 6, 1, 6, 1, 6, 2, 6, 10, 2, 1, 10, 2, 6, 10, 6, 6, 4, 1, 6, 6, 10, 6, 6, 2, 10, 6, 10, 6, 2, 1, 1, 10, 2, 1, 1, 1, 6, 1, 10, 2, 2, 1, 10, 2, 1, 2, 10, 10, 1, 2, 2, 6, 2, 2, 6, 6, 10, 1, 6, 10, 5, 1, 6, 6, 6, 2, 10, 1, 6, 6, 10, 5, 2, 1, 10, 1, 1, 6, 1, 2, 2, 1, 2, 2, 1, 6, 10, 2, 6, 2, 1, 1, 6, 10, 10, 10, 10, 4, 10, 1, 6, 9, 10, 6, 10, 10, 6, 2, 6, 10, 6, 60, 1, 1, 2, 10, 10, 2, 1, 2, 1, 2, 6, 2, 5, 10, 2, 2, 6, 0, 2, 10, 10, 2, 1, 2, 4, 1, 1, 6, 1, 1, 1, 2, 2, 6, 1, 2, 1, 1, 6, 6, 6, 1, 2, 2, 6, 2, 2, 1, 1, 6, 1, 6, 2, 6, 10, 6, 6, 1, 1, 1, 2, 1, 6, 2, 2, 10, 9, 10, 6, 6, 6, 2, 6, 6, 1, 10, 2, 6, 2, 6, 10, 10, 1, 6, 2, 6, 10, 10, 10, 1, 6, 1, 6, 10, 10, 10, 9, 10, 10, 10, 10, 1, 2, 10, 1, 1, 6, 1, 10, 1, 2, 10, 1, 6, 2, 6, 2, 10, 2, 6, 1, 2, 1, 10, 6, 6, 9, 10, 6, 6, 10, 10, 5, 2, 6, 2, 4, 10, 10, 10, 2, 10, 10, 6, 1, 6, 1, 1, 1, 10, 6, 2, 6, 10, 6, 2, 2, 10, 1, 4, 10, 10, 5, 2, 10, 6, 1, 1, 10, 10, 1, 6, 6, 10, 10, 10, 1, 6, 2, 1, 1, 2, 1, 6, 10, 2, 2, 10, 6, 6, 5, 6, 2, 10, 2, 1, 6, 6, 6, 1, 0, 2, 6, 1, 1, 6, 1, 10, 5, 6, 6, 1, 6, 6, 10, 1, 2, 2, 6, 10, 6, 6, 2, 1, 10, 2, 2, 2, 6, 1, 1, 1, 2, 6, 10, 6, 2, 2, 2, 6, 2, 10, 10, 9, 10, 10, 2, 1, 2, 10, 10, 10, 1, 10, 1, 10, 2, 6, 6, 10, 6, 2, 2, 1, 6, 2, 10, 2, 2, 10, 10, 1, 10, 2, 10, 1, 1, 2, 1, 1, 2, 6, 2, 6, 10, 2, 1, 6, 6, 6, 1, 10, 6, 6, 10, 2, 1, 6, 10, 10, 10, 2, 1, 10, 2, 2, 10, 1, 6, 1, 6, 2, 1, 1, 2, 6, 1, 10, 10, 6, 2, 10, 0, 1, 10, 6, 6, 6, 2, 6, 10, 1, 10, 1, 2, 1, 10, 1, 2, 10, 2, 1, 4, 10, 2, 6, 2, 2, 2, 10, 1, 10, 4, 1, 10, 1, 6, 10, 1, 2, 10, 10, 2, 2, 2, 2, 2, 6, 2, 10, 1, 1, 1, 2, 2, 6, 1, 10, 2, 2, 2, 2, 6, 1, 4, 6, 6, 1, 1, 1, 2, 2, 10, 2, 10, 2, 2, 1, 0, 6, 1, 6, 6, 6, 6, 1, 1, 2, 6, 2, 2, 10, 1, 5, 6, 10, 1, 6, 1, 6, 10, 6, 1, 6, 1, 10, 2, 2, 6, 1, 6, 2, 10, 2, 1, 10, 2, 10, 2, 2, 1, 10, 6, 1, 2, 6, 10, 10, 1, 10, 10, 1, 6, 10, 6, 2, 1, 10, 6, 6, 5, 2, 1, 2, 6, 4, 6, 5, 6, 10, 1, 10, 2, 6, 1, 1, 1, 10, 2, 2, 10, 1, 10, 10, 1, 2, 10, 6, 1, 1, 1, 10, 2, 1, 10, 1, 10, 2, 10, 10, 1, 6, 1, 2, 1, 2, 6, 1, 2, 1, 10, 1, 10, 2, 2, 1, 10, 10, 10, 6, 10, 2, 10, 9, 6, 2, 10, 10, 2, 10, 5, 10, 10, 1, 2, 2, 6, 1, 2, 2, 6, 1, 5, 6, 5, 2, 10, 2, 2, 10, 6, 6, 1, 6, 10, 6, 9, 2, 10, 10, 10, 1, 1, 6, 1, 6, 2, 10, 1, 10, 4, 2, 10, 2, 2, 6, 10, 6, 10, 1, 10, 6, 1, 2, 2, 10, 2, 10, 10, 2, 1, 2, 1, 0, 1, 10, 2, 10, 10, 10, 2, 10, 0, 10, 10, 2, 2, 10, 6, 1, 9, 1, 1, 2, 2, 4, 2, 10, 1, 6, 6, 1, 1, 2, 2, 2, 2, 10, 10, 2, 9, 6, 10, 10, 6, 2, 4, 1, 10, 6, 6, 6, 2, 10, 1, 2, 6, 6, 6, 6, 10, 6, 10, 6, 1, 10, 2, 6, 2, 1, 2, 10, 2, 10, 6, 10, 2, 2, 2, 6, 2, 1, 10, 2, 2, 6, 2, 2, 2, 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10, 6, 2, 2, 10, 2, 0, 6, 2, 1, 6, 6, 6, 10, 10, 1, 6, 2, 1, 1, 10, 6, 2, 1, 10, 1, 4, 6, 2, 10, 2, 6, 1, 6, 6, 1, 6, 6, 2, 2, 1, 2, 1, 2, 6, 6, 10, 4, 10, 2, 10, 6, 2, 10, 6, 2, 6, 2, 2, 2, 1, 10, 2, 10, 6, 2, 10, 2, 1, 6, 2, 2, 2, 1, 1, 2, 2, 10, 10, 1, 10, 6, 10, 2, 2, 10, 6, 6, 1, 1, 10, 6, 10, 6, 6, 10, 6, 6, 10, 2, 2, 9, 4, 2, 6, 10, 1, 10, 6, 6, 10, 6, 10, 10, 6, 10, 10, 2, 2, 6, 1, 1, 10, 6, 6, 2, 2, 10, 1, 10, 1, 1, 1, 10, 6, 1, 2, 2, 6, 10, 2, 10, 1, 10, 2, 6, 10, 10, 2, 2, 4, 2, 6, 1, 2, 1, 6, 6, 2, 6, 6, 4, 6, 6, 1, 1, 10, 6, 1, 10, 6, 1, 10, 10, 1, 0, 2, 10, 1, 6, 1, 10, 10, 6, 2, 6, 10, 10, 2, 6, 6, 6, 6, 10, 6, 10, 10, 6, 1, 1, 6, 6, 1, 6, 1, 1, 2, 2, 6, 1, 6, 10, 1, 10, 6, 6, 6, 6, 10, 6, 6, 1, 1, 10, 10, 6, 6, 1, 6, 1, 10, 1, 1, 2, 1, 4, 6, 2, 6, 6, 10, 9, 10, 10, 2, 10, 6, 6, 1, 1, 2, 1, 10, 1, 10, 1, 10, 10, 6, 2, 1, 6, 1, 2, 1, 6, 5, 10, 1, 1, 6, 1, 6, 10, 6, 6, 6, 6, 6, 10, 6, 2, 2, 2, 10, 10, 10, 10, 1, 0, 6, 1, 1, 6, 6, 1, 6, 10, 2, 10, 1, 1, 6, 6, 1, 6, 1, 6, 6, 0, 6, 1, 2, 6, 10, 2, 1, 6, 10, 10, 2, 2, 6, 10, 10, 10, 10, 2, 10, 2, 1, 10, 10, 2, 10, 6, 1, 6, 10, 10, 10, 10, 2, 2, 1, 6, 1, 6, 1, 10, 2, 6, 9, 2, 6, 1, 1, 0, 1, 2, 10, 6, 10, 6, 2, 2, 10, 2, 2, 1, 2, 10, 1, 10, 10, 2, 6, 2, 2, 1, 6, 10, 1, 1, 2, 10, 10, 6, 4, 1, 10, 1, 2, 10, 6, 2, 2, 2, 6, 6, 5, 2, 6, 2, 2, 1, 1, 10, 10, 6, 6, 6, 5, 2, 6, 10, 1, 1, 6, 10, 10, 1, 10, 2, 6, 6, 10, 1, 2, 6, 2, 1, 6, 1, 1, 6, 1, 1, 6, 6, 2, 1, 6, 2, 10, 6, 1, 2, 1, 1, 6, 10, 6, 2, 2, 10, 6, 1, 1, 2, 1, 1, 2, 10, 2, 10, 10, 2, 5, 1, 2, 6, 10, 10, 6, 2, 6, 2, 6, 6, 1, 1, 4, 2, 1, 6, 10, 2, 1, 2, 10, 10, 2, 1, 1, 2, 1, 1, 6, 1, 6, 10, 2, 4, 10, 10, 2, 6, 10, 6, 10, 6, 2, 1, 6, 10, 2, 6, 2, 10, 1, 1, 2, 1, 2, 1, 2, 2, 6, 6, 2, 1, 2, 10, 1, 2, 6, 6, 6, 10, 10, 1, 6, 10, 10, 1, 6, 6, 6, 10, 6, 2, 1, 2, 6, 2, 6, 1, 1, 6, 1, 10, 6, 10, 10, 6, 1, 2, 10, 2, 2, 2, 6, 6, 10, 2, 10, 6, 10, 6, 10, 6, 10, 6, 5, 6, 10, 2, 6, 6, 2, 6, 1, 2, 10, 2, 2, 1, 2, 2, 2, 10, 2, 2, 2, 6, 2, 1, 1, 2, 6, 1, 6, 10, 11, 6, 6, 10, 10, 6, 2, 1, 10, 2, 10, 2, 10, 10, 2, 0, 10, 10, 1, 6, 6, 10, 1, 2, 1, 2, 10, 2, 6, 5, 10, 6, 6, 1, 10, 2, 10, 10, 6, 1, 6, 1, 9, 2, 6, 10, 6, 1, 6, 2, 6, 6, 1, 6, 6, 10, 1, 2, 1, 2, 2, 1, 10, 1, 2, 10, 2, 2, 1, 6, 2, 6, 10, 10, 1, 2, 1, 6, 1, 1, 2, 2, 6, 6, 6, 10, 6, 6, 2, 2, 2, 2, 1, 6, 2, 1, 2, 6, 1, 1, 1, 2, 0, 10, 6, 1, 1, 6, 1, 1, 10, 2, 5, 6, 6, 9, 2, 10, 10, 2, 6, 10, 1, 2, 10, 10, 10, 2, 1, 6, 6, 5, 1, 2, 6, 6, 2, 1, 6, 1, 9, 10, 1, 1, 6, 2, 1, 1, 5, 6, 2, 6, 2, 1, 10, 2, 6, 2, 2, 10, 6, 2, 1, 6, 1, 6, 2, 1, 10, 1, 1, 6, 2, 1, 6, 6, 6, 6, 1, 10, 6, 10, 2, 2, 1, 6, 2, 6, 1, 10, 1, 10, 10, 2, 10, 6, 10, 1, 2, 10, 6, 4, 2, 10, 10, 6, 6, 2, 1, 2, 10, 6, 10, 2, 0, 2, 1, 2, 2, 1, 10, 1, 6, 1, 6, 6, 1, 2, 1, 1, 1, 6, 2, 1, 1, 6, 10, 2, 6, 10, 2, 1, 1, 2, 2, 6, 10, 10, 6, 1, 10, 2, 10, 10, 1, 2, 2, 2, 1, 2, 1, 2, 10, 6, 9, 1, 6, 6, 2, 10, 10, 2, 1, 10, 10, 1, 1, 2, 1, 10, 6, 2, 10, 2, 6, 1, 4, 2, 1, 10, 1, 4, 10, 6, 1, 6, 1, 2, 10, 2, 10, 1, 10, 1, 10, 6, 10, 2, 10, 2, 6, 10, 1, 6, 10, 10, 6, 2, 6, 2, 10, 2, 2, 10, 2, 2, 1, 1, 2, 10, 2, 10, 6, 10, 6, 10, 1, 2, 10, 6, 2, 10, 2, 6, 6, 1, 10, 10, 2, 1, 10, 10, 10, 1, 10, 2, 6, 6, 2, 6, 2, 6, 10, 1, 6, 2, 2, 6, 6, 1, 2, 2, 1, 2, 2, 10, 6, 1, 1, 10, 2, 10, 6, 2, 2, 10, 2, 10, 1, 2, 2, 10, 6, 6, 6, 2, 10, 1, 10, 6, 2, 2, 6, 10, 1, 6, 1, 2, 1, 6, 6, 10, 6, 6, 2, 6, 6, 10, 2, 2, 2, 1, 1, 2, 10, 1, 2, 1, 10, 1, 10, 10, 2, 6, 2, 6, 6, 2, 2, 1, 2, 1, 10, 1, 6, 10, 1, 6, 1, 1, 2, 10, 6, 1, 2, 1, 1, 1, 1, 1, 1, 2, 6, 6, 10, 1, 10, 2, 1, 2, 1, 5, 10, 2, 1, 2, 6, 10, 6, 6, 2, 10, 2, 6, 6, 1, 6, 1, 2, 10, 2, 1, 1, 1, 2, 2, 1, 6, 0, 1, 10, 2, 1, 6, 10, 2, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 10, 2, 1, 1, 0, 6, 1, 10, 10, 1, 1, 10, 6, 1, 10, 1, 2, 10, 1, 2, 10, 6, 2, 2, 10, 10, 6, 10, 2, 6, 2, 10, 2, 2, 2, 1, 6, 10, 6, 6, 6, 2, 6, 2, 1, 1, 2, 1, 1, 6, 1, 10, 4, 6, 10, 2, 6, 10, 1, 10, 0, 1, 10, 1, 1, 2, 1, 10, 1, 10, 1, 1, 5, 6, 2, 10, 10, 1, 10, 6, 10, 6, 6, 6, 1, 1, 6, 6, 6, 6, 2, 10, 6, 6, 6, 2, 10, 10, 1, 0, 10, 10, 6, 1, 6, 1, 0, 6, 6, 10, 10, 2, 2, 10, 2, 2, 2, 2, 4, 1, 2, 6, 2, 1, 6, 6, 1, 6, 6, 2, 1, 10, 6, 10, 1, 2, 6, 2, 1, 6, 1, 6, 2, 10, 2, 6, 1, 2, 9, 2, 10, 10, 10, 2, 6, 2, 10, 2, 10, 6, 10, 2, 6, 6, 6, 2, 2, 4, 1, 1, 1, 1, 6, 2, 10, 2, 1, 1, 1, 10, 2, 10, 2, 10, 6, 2, 10, 6, 1, 2, 10, 2, 6, 2, 6, 10, 10, 5, 6, 1, 6, 6, 6, 1, 6, 2, 6, 10, 1, 1, 10, 1, 2, 6, 2, 1, 1, 1, 10, 2, 6, 1, 6, 2, 1, 2, 10, 5, 2, 1, 2, 10, 6, 6, 2, 1, 10, 1, 10, 10, 2, 6, 1, 2, 1, 10, 2, 2, 2, 6, 6, 2, 2, 2, 10, 6, 10, 2, 2, 6, 10, 2, 1, 10, 1, 1, 2, 10, 1, 1, 1, 1, 1, 6, 1, 1, 10, 10, 10, 6, 1, 10, 6, 1, 10, 6, 10, 6, 10, 1, 1, 6, 10, 1, 6, 10, 2, 2, 6, 6, 2, 2, 10, 10, 2, 2, 1, 10, 1, 1, 10, 2, 2, 0, 10, 2, 1, 1, 2, 10, 1, 6, 6, 6, 1, 6, 6, 10, 6, 2, 6, 1, 10, 2, 10, 1, 2, 2, 1, 1, 2, 1, 1, 10, 1, 6, 2, 10, 2, 10, 4, 6, 2, 10, 2, 1, 10, 2, 1, 10, 1, 6, 1, 9, 2, 1, 1, 6, 1, 6, 10, 10, 1, 2, 1, 1, 2, 1, 6, 10, 2, 4, 2, 10, 1, 10, 6, 2, 10, 6, 10, 6, 6, 6, 2, 6, 6, 6, 10, 1, 2, 10, 2, 10, 10, 1, 1, 1, 2, 1, 6, 2, 1, 2, 10, 6, 2, 2, 2, 2, 10, 10, 6, 2, 1, 2, 1, 10, 10, 2, 10, 2, 6, 2, 2, 1, 2, 6, 6, 10, 10, 1, 10, 6, 10, 1, 6, 2, 1, 2, 6, 10, 2, 2, 1, 10, 2, 6, 1, 6, 6, 1, 2, 1, 10, 1, 2, 2, 10, 1, 6, 2, 2, 2, 6, 1, 6, 6, 10, 2, 1, 6, 1, 1, 2, 2, 10, 2, 6, 10, 10, 1, 1, 10, 1, 10, 2, 1, 6, 1, 10, 10, 1, 1, 10, 2, 10, 6, 1, 10, 1, 9, 6, 1, 6, 1, 1, 1, 2, 6, 2, 6, 5, 2, 6, 6, 2, 5, 6, 2, 1, 2, 2, 6, 1, 1, 0, 4, 1, 10, 6, 10, 6, 1, 4, 1, 6, 1, 1, 10, 10, 1, 2, 10, 6, 2, 6, 10, 6, 10, 10, 6, 6, 2, 1, 2, 6, 6, 10, 1, 6, 2, 1, 2, 10, 1, 0, 4, 10, 1, 1, 6, 10, 6, 1, 10, 1, 9, 6, 10, 10, 6, 6, 1, 1, 10, 6, 1, 2, 1, 6, 2, 4, 1, 1, 1, 1, 2, 10, 10, 1, 10, 1, 10, 1, 6, 6, 10, 2, 10, 6, 10, 10, 10, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 4, 1, 10, 1, 1, 10, 10, 10, 1, 1, 6, 10, 6, 1, 6, 2, 1, 1, 1, 10, 2, 2, 1, 10, 1, 6, 6, 6, 1, 10, 2, 10, 6, 1, 6, 6, 1, 6, 1, 6, 10, 2, 10, 1, 4, 1, 2, 2, 6, 6, 10, 2, 10, 10, 1, 2, 10, 2, 6, 0, 10, 10, 1, 2, 10, 10, 6, 1, 6, 1, 1, 6, 6, 0, 10, 2, 1, 10, 6, 2, 2, 2, 2, 1, 10, 6, 10, 6, 6, 1, 2, 1, 1, 10, 1, 2, 6, 6, 6, 6, 10, 6, 1, 6, 5, 2, 6, 2, 2, 10, 1, 1, 6, 10, 6, 6, 1, 10, 0, 4, 6, 1, 2, 10, 6, 2, 2, 2, 2, 2, 10, 6, 1, 1, 10, 2, 1, 10, 2, 2, 10, 10, 6, 1, 0, 1, 1, 6, 10, 6, 2, 10, 10, 2, 6, 2, 2, 10, 2, 2, 2, 6, 10, 2, 1, 10, 8, 1, 2, 1, 2, 1, 6, 10, 2, 2, 1, 6, 10, 6, 2, 1, 2, 6, 10, 1, 1, 10, 1, 1, 2, 1, 2, 2, 1, 2, 6, 1, 2, 6, 10, 6, 1, 6, 10, 6, 6, 6, 6, 1, 2, 6, 6, 2, 2, 1, 10, 5, 2, 2, 1, 2, 6, 6, 6, 6, 10, 1, 6, 10, 10, 6, 2, 10, 1, 1, 2, 10, 1, 2, 2, 2, 2, 2, 1, 9, 10, 10, 1, 1, 4, 1, 10, 6, 2, 10, 10, 1, 6, 6, 10, 2, 2, 1, 2, 1, 6, 2, 6, 1, 10, 1, 6, 1, 1, 6, 10, 10, 4, 6, 1, 10, 6, 6, 6, 2, 2, 2, 6, 1, 6, 6, 1, 1, 1, 10, 10, 2, 2, 6, 1, 2, 1, 0, 2, 10, 2, 2, 1, 6, 10, 1, 6, 6, 6, 2, 10, 1, 2, 10, 10, 1, 10, 6, 10, 6, 6, 10, 6, 10, 10, 10, 1, 6, 6, 6, 10, 1, 10, 2, 1, 6, 1, 1, 10, 6, 6, 6, 6, 2, 6, 2, 6, 2, 10, 6, 1, 6, 1, 1, 6, 6, 10, 6, 10, 6, 10, 10, 10, 10, 2, 1, 10, 6, 6, 2, 1, 2, 6, 10, 1, 1, 1, 10, 1, 1, 10, 10, 10, 2, 2, 10, 10, 1, 1, 6, 6, 2, 2, 6, 1, 10, 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2, 2, 1, 2, 1, 6, 10, 2, 6, 2, 2, 10, 6, 2, 6, 6, 10, 10, 1, 2, 6, 6, 6, 10, 10, 6, 1, 6, 2, 10, 6, 2, 10, 6, 4, 2, 1, 0, 10, 6, 1, 2, 2, 10, 10, 2, 0, 6, 1, 10, 10, 1, 10, 1, 10, 6, 6, 2, 2, 2, 10, 6, 1, 10, 2, 2, 1, 6, 2, 1, 10, 1, 1, 6, 10, 10, 1, 5, 1, 9, 10, 2, 2, 6, 10, 10, 6, 2, 1, 2, 5, 1, 1, 2, 10, 6, 2, 1, 6, 10, 2, 10, 10, 6, 1, 2, 1, 2, 2, 1, 2, 10, 6, 2, 5, 10, 2, 10, 2, 10, 5, 6, 1, 1, 1, 6, 1, 1, 10, 10, 10, 2, 6, 2, 10, 6, 10, 6, 6, 1, 2, 6, 2, 2, 4, 10, 10, 6, 10, 2, 10, 2, 10, 9, 6, 6, 1, 6, 10, 6, 2, 2, 10, 2, 1, 10, 6, 10, 1, 6, 6, 2, 2, 1, 1, 2, 1, 10, 1, 2, 6, 10, 10, 1, 5, 2, 1, 10, 2, 6, 2, 10, 10, 2, 2, 10, 10, 1, 2, 2, 6, 6, 6, 2, 6, 2, 1, 2, 6, 1, 10, 1, 6, 1, 6, 1, 10, 6, 2, 6, 1, 10, 1, 6, 2, 10, 6, 6, 2, 2, 2, 0, 1, 6, 9, 10, 6, 2, 2, 1, 6, 1, 6, 6, 2, 6, 2, 2, 1, 6, 2, 1, 10, 6, 10, 1, 10, 1, 6, 10, 5, 1, 6, 10, 6, 1, 1, 6, 1, 6, 6, 2, 1, 10, 2, 2, 6, 2, 2, 2, 1, 6, 10, 6, 2, 2, 2, 1, 6, 6, 10, 1, 6, 1, 1, 2, 1, 1, 1, 2, 1, 6, 10, 10, 6, 10, 2, 6, 2, 1, 10, 2, 10, 2, 6, 10, 0, 1, 6, 9, 2, 1, 1, 1, 2, 6, 6, 2, 2, 1, 1, 2, 10, 6, 2, 0, 6, 1, 1, 6, 1, 1, 9, 10, 4, 10, 10, 6, 2, 10, 6, 1, 1, 10, 10, 10, 6, 1, 2, 2, 2, 6, 10, 1, 1, 6, 10, 2, 2, 2, 6, 1, 2, 10, 6, 1, 5, 2, 6, 1, 2, 1, 6, 1, 1, 10, 1, 1, 2, 6, 2, 10, 6, 10, 1, 1, 1, 2, 2, 10, 1, 1, 6, 2, 1, 10, 2, 10, 6, 6, 2, 2, 1, 1, 1, 2, 6, 2, 2, 10, 10, 6, 6, 2, 2, 1, 6, 10, 1, 6, 6, 2, 1, 6, 1, 10, 10, 2, 2, 6, 1, 1, 1, 2, 10, 1, 6, 6, 2, 1, 1, 1, 2, 0, 6, 1, 10, 6, 6, 2, 2, 1, 1, 6, 6, 1, 2, 1, 1, 10, 2, 6, 1, 2, 1, 2, 6, 2, 10, 1, 10, 6, 5, 2, 6, 2, 2, 2, 2, 6, 6, 6, 1, 1, 6, 10, 6, 10, 1, 1, 2, 10, 2, 2, 6, 10, 10, 2, 1, 1, 2, 2, 2, 10, 6, 10, 1, 6, 1, 6, 10, 2, 6, 6, 10, 1, 6, 6, 10, 1, 6, 10, 2, 6, 2, 1, 1, 10, 6, 1, 6, 2, 1, 1, 6, 10, 10, 6, 10, 10, 6, 2, 2, 1, 1, 10, 2, 1, 6, 1, 10, 2, 10, 1, 2, 6, 10, 6, 6, 10, 6, 10, 1, 1, 2, 1, 6, 1, 1, 10, 6, 2, 2, 2, 10, 2, 2, 1, 2, 10, 10, 2, 1, 2, 2, 1, 10, 2, 10, 1, 6, 10, 1, 10, 1, 6, 10, 2, 1, 2, 2, 1, 1, 10, 1, 6, 1, 6, 6, 2, 10, 2, 10, 6, 1, 1, 6, 1, 10, 10, 10, 1, 1, 1, 6, 1, 1, 2, 6, 2, 1, 1, 10, 2, 2, 2, 10, 2, 10, 1, 2, 10, 10, 10, 1, 10, 10, 2, 6, 6, 6, 1, 2, 6, 6, 2, 6, 2, 2, 6, 1, 10, 10, 6, 1, 10, 2, 6, 1, 1, 1, 4, 6, 6, 2, 6, 6, 10, 6, 0, 2, 6, 2, 1, 6, 1, 2, 1, 2, 2, 10, 2, 2, 6, 6, 10, 5, 2, 1, 4, 1, 9, 5, 10, 10, 10, 10, 2, 10, 1, 1, 6, 6, 6, 6, 1, 10, 1, 10, 6, 1, 1, 10, 1, 6, 0, 6, 10, 2, 6, 1, 2, 1, 6, 1, 10, 2, 6, 2, 1, 2, 1, 10, 10, 6, 1, 1, 2, 2, 2, 2, 6, 1, 6, 1, 1, 1, 6, 6, 1, 2, 2, 2, 6, 10, 6, 10, 10, 1, 6, 2, 1, 2, 6, 2, 1, 10, 10, 6, 2, 6, 6, 6, 6, 1, 2, 2, 6, 6, 6, 1, 6, 1, 2, 6, 1, 6, 6, 1, 6, 10, 2, 1, 0, 6, 1, 1, 10, 6, 10, 10, 1, 10, 2, 1, 2, 6, 1, 10, 10, 6, 6, 10, 2, 10, 10, 1, 6, 2, 6, 1, 10, 4, 1, 10, 6, 6, 6, 1, 10, 10, 6, 6, 1, 10, 1, 2, 6, 10, 10, 2, 1, 10, 2, 1, 10, 1, 10, 2, 10, 2, 6, 6, 1, 1, 2, 10, 1, 6, 1, 6, 2, 2, 6, 6, 1, 2, 1, 1, 2, 2, 6, 2, 6, 1, 1, 2, 2, 2, 10, 1, 6, 10, 6, 1, 1, 10, 1, 6, 1, 10, 2, 6, 6, 2, 10, 2, 6, 1, 1, 0, 2, 10, 6, 6, 6, 2, 6, 2, 2, 10, 2, 6, 1, 10, 10, 2, 10, 6, 6, 2, 10, 1, 1, 2, 1, 2, 10, 10, 1, 6, 6, 10, 0, 10, 1, 10, 6, 10, 1, 1, 1, 1, 2, 1, 6, 10, 6, 2, 6, 1, 2, 2, 4, 10, 1, 10, 2, 1, 6, 6, 1, 10, 6, 10, 1, 10, 6, 10, 10, 10, 6, 2, 10, 1, 10, 6, 10, 1, 2, 2, 1, 1, 6, 2, 1, 1, 10, 6, 6, 6, 1, 1, 6, 6, 2, 10, 2, 1, 2, 10, 6, 2, 6, 2, 6, 10, 1, 2, 10, 10, 10, 6, 10, 2, 10, 2, 6, 10, 10, 6, 6, 2, 10, 1, 6, 6, 10, 1, 1, 2, 1, 2, 6, 6, 6, 6, 10, 1, 4, 1, 2, 1, 10, 10, 2, 1, 2, 2, 10, 6, 6, 6, 1, 6, 9, 6, 10, 1, 2, 10, 10, 2, 1, 2, 10, 10, 6, 10, 10, 1, 1, 10, 10, 6, 1, 10, 2, 1, 2, 2, 6, 6, 1, 1, 10, 6, 1, 0, 1, 1, 6, 1, 2, 6, 1, 2, 2, 1, 6, 6, 10, 6, 6, 1, 2, 6, 1, 2, 1, 2, 6, 6, 1, 6, 2, 2, 10, 6, 10, 6, 6, 6, 10, 1, 1, 2, 1, 1, 1, 2, 1, 6, 1, 10, 6, 10, 10, 5, 10, 10, 2, 1, 2, 10, 1, 6, 10, 10, 10, 1, 6, 1, 10, 10, 1, 6, 1, 1, 1, 10, 6, 6, 10, 2, 1, 2, 10, 10, 2, 6, 2, 2, 2, 2, 1, 1, 2, 10, 2, 6, 10, 1, 6, 6, 6, 10, 2, 2, 1, 1, 1, 1, 1, 1, 2, 6, 10, 10, 6, 10, 1, 10, 10, 2, 2, 2, 1, 6, 6, 1, 2, 1, 6, 6, 1, 6, 10, 10, 10, 10, 10, 10, 10, 1, 2, 6, 6, 10, 10, 6, 2, 2, 10, 2, 10, 10, 1, 10, 10, 6, 6, 10, 10, 6, 1, 6, 6, 1, 6, 5, 6, 1, 6, 6, 4, 6, 10, 2, 1, 2, 10, 2, 2, 10, 10, 10, 2, 6, 10, 10, 6, 1, 10, 1, 2, 1, 1, 10, 2, 6, 10, 1, 0, 2, 1, 1, 2, 10, 10, 1, 2, 2, 2, 10, 6, 2, 6, 2, 2, 6, 10, 10, 6, 1, 2, 6, 6, 6, 10, 2, 2, 6, 2, 1, 1, 10, 1, 6, 10, 9, 6, 10, 1, 10, 1, 2, 10, 2, 10, 2, 2, 6, 10, 2, 6, 1, 10, 10, 1, 2, 2, 10, 6, 6, 1, 2, 2, 10, 10, 2, 6, 10, 2, 6, 1, 10, 1, 2, 1, 2, 1, 6, 1, 2, 1, 9, 2, 6, 2, 10, 2, 2, 2, 2, 1, 1, 2, 6, 10, 6, 10, 6, 1, 6, 1, 2, 1, 0, 1, 2, 10, 10, 1, 2, 6, 2, 1, 1, 2, 2, 1, 2, 6, 1, 2, 1, 10, 10, 1, 6, 10, 6, 2, 2, 2, 10, 2, 6, 2, 0, 2, 1, 6, 2, 1, 10, 2, 6, 1, 1, 10, 6, 6, 6, 10, 0, 2, 2, 6, 6, 1, 1, 1, 10, 1, 1, 10, 6, 10, 1, 2, 1, 1, 2, 1, 1, 2, 1, 6, 1, 10, 1, 10, 2, 1, 2, 10, 2, 10, 6, 1, 2, 6, 4, 2, 2, 2, 1, 2, 10, 6, 10, 6, 10, 2, 1, 10, 2, 1, 10, 10, 1, 6, 2, 10, 10, 10, 2, 5, 2, 9, 1, 2, 10, 6, 10, 6, 10, 1, 6, 1, 1, 10, 6, 10, 1, 1, 1, 2, 10, 6, 1, 6, 2, 2, 10, 6, 10, 10, 1, 1, 2, 1, 6, 6, 2, 10, 2, 6, 1, 6, 6, 2, 2, 1, 6, 6, 1, 2, 1, 10, 1, 2, 1, 2, 2, 1, 2, 2, 6, 1, 2, 6, 6, 6, 6, 10, 6, 2, 6, 2, 10, 2, 10, 1, 1, 1, 10, 2, 6, 2, 40, 6, 1, 10, 1, 10, 4, 1, 10, 10, 1, 2, 10, 6, 1, 6, 10, 1, 2, 6, 1, 6, 1, 1, 1, 2, 6, 6, 6, 4, 2, 6, 1, 6, 6, 1, 10, 1, 10, 6, 6, 2, 1, 0, 10, 2, 6, 10, 1, 6, 10, 1, 1, 10, 10, 2, 6, 6, 1, 2, 2, 1, 10, 2, 1, 10, 2, 2, 10, 10, 1, 10, 6, 1, 10, 10, 6, 10, 2, 2, 1, 1, 6, 10, 2, 2, 10, 10, 0, 1, 1, 1, 2, 5, 6, 10, 10, 10, 1, 10, 1, 10, 2, 1, 2, 1, 10, 2, 6, 1, 6, 6, 2, 2, 5, 10, 2, 2, 10, 6, 10, 2, 1, 2, 6, 6, 10, 10, 10, 6, 2, 2, 6, 2, 6, 1, 6, 10, 2, 10, 10, 2, 1, 1, 6, 1, 10, 10, 1, 1, 10, 10, 10, 10, 2, 6, 1, 6, 10, 6, 10, 2, 2, 1, 1, 2, 10, 2, 0, 2, 10, 6, 2, 1, 10, 1, 2, 6, 1, 6, 2, 6, 10, 6, 10, 2, 1, 0, 6, 10, 2, 1, 1, 2, 2, 10, 1, 1, 10, 2, 6, 2, 1, 1, 6, 2, 10, 10, 10, 10, 2, 1, 10, 2, 10, 10, 2, 2, 10, 10, 1, 2, 10, 10, 2, 1, 2, 2, 6, 10, 1, 2, 6, 6, 2, 10, 6, 10, 6, 6, 10, 1, 6, 6, 6, 10, 2, 1, 10, 6, 6, 6, 2, 10, 6, 2, 6, 6, 6, 1, 1, 1, 2, 6, 10, 10, 1, 10, 6, 1, 10, 10, 6, 4, 5, 10, 1, 2, 6, 1, 2, 6, 1, 2, 6, 6, 6, 10, 6, 6, 1, 10, 1, 6, 2, 10, 6, 10, 10, 2, 2, 1, 0, 1, 10, 6, 1, 10, 2, 2, 10, 2, 0, 1, 1, 6, 6, 6, 1, 1, 2, 10, 2, 2, 1, 1, 2, 2, 5, 10, 6, 1, 4, 2, 1, 2, 6, 1, 6, 6, 10, 2, 2, 6, 10, 10, 10, 6, 10, 10, 2, 10, 6, 2, 6, 2, 2, 2, 1, 2, 2, 1, 2, 6, 2, 2, 2, 6, 6, 6, 6, 2, 1, 10, 2, 1, 10, 1, 6, 6, 6, 2, 2, 6, 10, 6, 6, 10, 2, 6, 6, 1, 2, 1, 6, 2, 2, 10, 2, 1, 10, 1, 6, 1, 1, 0, 1, 1, 10, 6, 2, 1, 2, 2, 10, 4, 10, 10, 10, 6, 2, 2, 6, 10, 2, 1, 10, 10, 1, 1, 5, 9, 2, 6, 2, 10, 1, 6, 10, 1, 1, 0, 1, 1, 1, 1, 6, 1, 0, 6, 10, 10, 5, 2, 10, 10, 2, 1, 10, 6, 10, 1, 10, 6, 10, 1, 10, 4, 10, 10, 1, 2, 2, 6, 10, 2, 6, 6, 1, 2, 4, 5, 10, 6, 2, 1, 1, 1, 10, 10, 2, 2, 9, 2, 2, 2, 2, 1, 2, 10, 1, 2, 6, 10, 2, 10, 2, 10, 9, 6, 6, 10, 1, 1, 6, 6, 2, 10, 10, 6, 4, 2, 6, 10, 2, 6, 6, 6, 2, 10, 1, 6, 2, 10, 10, 6, 5, 10, 10, 10, 10, 10, 6, 4, 1, 2, 4, 10, 1, 6, 1, 2, 0, 6, 1, 6, 10, 6, 10, 10, 2, 1, 10, 6, 2, 6, 6, 1, 2, 1, 10, 2, 2, 6, 2, 6, 1, 1, 2, 6, 2, 2, 1, 2, 10, 5, 6, 1, 6, 5, 6, 6, 10, 6, 1, 1, 0, 6, 1, 6, 6, 1, 2, 6, 1, 6, 1, 2, 2, 1, 0, 10, 1, 6, 10, 2, 6, 6, 1, 6, 6, 2, 10, 9, 2, 6, 2, 6, 6, 10, 2, 10, 2, 10, 10, 10, 6, 6, 10, 9, 10, 10, 1, 10, 1, 1, 2, 6, 10, 2, 6, 10, 1, 1, 10, 1, 2, 1, 10, 1, 10, 10, 6, 10, 1, 6, 6, 1, 6, 6, 6, 6, 10, 10, 10, 6, 1, 1, 6, 2, 1, 1, 10, 6, 10, 8, 1, 1, 2, 6, 6, 10, 6, 2, 2, 2, 0, 7, 10, 1, 1, 6, 10, 1, 6, 2, 10, 10, 2, 2, 2, 10, 1, 10, 10, 6, 2, 10, 6, 2, 10, 2, 6, 6, 10, 6, 2, 1, 6, 10, 10, 40, 1, 10, 1, 6, 5, 1, 6, 1, 2, 2, 2, 1, 2, 2, 1, 2, 10, 10, 6, 4, 10, 2, 6, 2, 6, 2, 1, 6, 1, 1, 10, 2, 10, 6, 2, 6, 1, 10, 6, 2, 2, 1, 1, 10, 9, 2, 10, 2, 6, 2, 1, 2, 1, 1, 10, 2, 6, 10, 6, 9, 6, 1, 2, 10, 1, 10, 1, 10, 10, 10, 10, 6, 10, 6, 6, 10, 6, 6, 1, 2, 2, 6, 2, 2, 1, 6, 10, 2, 1, 2, 10, 2, 10, 6, 1, 6, 2, 4, 10, 6, 10, 6, 10, 1, 10, 2, 2, 10, 2, 6, 6, 1, 1, 10, 10, 1, 6, 5, 1, 10, 2, 1, 10, 10, 10, 6, 2, 6, 10, 10, 1, 2, 2, 10, 0, 6, 6, 6, 10, 10, 6, 2, 10, 10, 6, 2, 10, 10, 6, 2, 6, 6, 10, 2, 2, 10, 6, 1, 2, 10, 2, 1, 6, 6, 1, 10, 2, 6, 2, 1, 2, 6, 6, 1, 5, 1, 6, 6, 2, 2, 2, 1, 1, 9, 2, 2, 6, 2, 2, 6, 10, 6, 1, 1, 1, 6, 1, 10, 6, 10, 6, 6, 6, 6, 10, 10, 1, 10, 1, 2, 6, 1, 5, 10, 1, 1, 1, 2, 6, 10, 10, 6, 6, 10, 2, 1, 1, 10, 1, 6, 1, 2, 1, 6, 2, 10, 2, 6, 2, 6, 2, 6, 2, 6, 6, 1, 10, 1, 10, 6, 1, 2, 6, 2, 2, 10, 2, 1, 1, 6, 1, 2, 1, 0, 1, 10, 6, 2, 10, 1, 1, 2, 2, 6, 1, 2, 2, 10, 1, 10, 6, 2, 6, 2, 2, 6, 10, 2, 9, 6, 6, 10, 6, 10, 2, 2, 1, 10, 2, 10, 2, 1, 10, 10, 2, 10, 10, 10, 6, 1, 1, 6, 6, 2, 1, 6, 2, 6, 6, 4, 6, 1, 2, 10, 10, 2, 6, 10, 6, 6, 6, 10, 2, 2, 10, 10, 10, 9, 2, 6, 6, 10, 2, 6, 10, 1, 2, 1, 1, 1, 6, 10, 10, 10, 6, 6, 2, 2, 2, 1, 10, 0, 2, 10, 2, 1, 6, 1, 1, 10, 6, 10, 10, 6, 10, 2, 10, 6, 6, 6, 2, 2, 0, 10, 1, 2, 1, 6, 6, 6, 1, 6, 6, 2, 1, 10, 1, 6, 10, 10, 10, 6, 1, 10, 10, 6, 6, 1, 10, 10, 2, 2, 10, 6, 6, 10, 2, 10, 2, 0, 6, 1, 6, 0, 10, 1, 6, 6, 1, 2, 1, 6, 6, 2, 1, 10, 2, 10, 10, 10, 6, 6, 1, 2, 6, 6, 2, 2, 1, 10, 6, 6, 10, 10, 10, 2, 2, 6, 10, 1, 6, 1, 10, 6, 1, 1, 1, 2, 2, 2, 6, 1, 10, 1, 6, 2, 2, 2, 2, 10, 2, 1, 2, 1, 1, 10, 1, 1, 1, 6, 2, 6, 6, 2, 10, 6, 1, 6, 1, 6, 1, 6, 2, 2, 1, 6, 1, 10, 6, 1, 2, 10, 10, 0, 10, 1, 1, 10, 6, 10, 10, 1, 10, 6, 10, 2, 2, 1, 1, 2, 6, 2, 10, 1, 1, 6, 2, 6, 10, 2, 10, 6, 10, 6, 6, 1, 1, 2, 1, 10, 1, 2, 6, 1, 1, 10, 10, 10, 1, 10, 1, 6, 1, 1, 10, 10, 1, 10, 6, 1, 1, 6, 9, 10, 6, 2, 6, 10, 10, 2, 2, 1, 1, 9, 1, 1, 2, 10, 10, 10, 6, 6, 10, 10, 2, 2, 1, 6, 1, 2, 2, 1, 6, 2, 10, 10, 6, 1, 2, 1, 10, 6, 1, 1, 1, 6, 2, 10, 2, 10, 1, 6, 6, 50, 6, 1, 6, 1, 10, 1, 1, 10, 10, 9, 6, 6, 10, 2, 1, 10, 6, 2, 6, 10, 10, 1, 1, 2, 1, 2, 10, 4, 2, 2, 2, 6, 2, 6, 1, 10, 1, 10, 10, 1, 6, 6, 2, 2, 2, 1, 10, 6, 1, 1, 6, 6, 10, 10, 10, 1, 10, 1, 6, 1, 1, 2, 6, 10, 2, 10, 2, 2, 1, 2, 10, 2, 6, 1, 6, 1, 6, 10, 6, 1, 1, 2, 2, 10, 2, 10, 2, 10, 2, 6, 2, 10, 6, 2, 10, 2, 6, 1, 1, 2, 1, 2, 1, 1, 2, 10, 1, 1, 1, 2, 6, 6, 2, 2, 6, 6, 9, 9, 10, 1, 10, 10, 10, 2, 10, 5, 10, 10, 1, 6, 1, 1, 6, 10, 1, 6, 10, 6, 6, 6, 1, 10, 1, 2, 1, 10, 1, 1, 1, 2, 10, 6, 2, 6, 10, 2, 1, 2, 1, 2, 6, 2, 10, 1, 10, 2, 6, 2, 2, 10, 10, 10, 9, 10, 1, 2, 1, 1, 10, 2, 1, 6, 6, 6, 2, 4, 1, 1, 6, 2, 10, 6, 2, 10, 10, 2, 10, 1, 10, 2, 10, 0, 10, 1, 1, 2, 6, 1, 6, 1, 10, 10, 2, 2, 2, 6, 2, 10, 1, 10, 6, 2, 1, 2, 5, 2, 6, 1, 6, 6, 1, 10, 1, 1, 10, 1, 6, 2, 6, 2, 1, 10, 10, 10, 2, 2, 1, 10, 10, 6, 6, 6, 1, 2, 2, 10, 6, 2, 10, 1, 6, 5, 6, 2, 10, 10, 2, 2, 6, 6, 1, 10, 6, 2, 10, 10, 6, 1, 1, 6, 6, 6, 6, 1, 6, 1, 2, 10, 6, 1, 1, 4, 2, 6, 1, 1, 2, 2, 1, 2, 2, 1, 10, 6, 2, 1, 6, 2, 6, 10, 2, 1, 2, 10, 6, 1, 5, 10, 1, 6, 6, 2, 0, 2, 2, 1, 3, 10, 2, 1, 1, 2, 10, 6, 6, 1, 10, 6, 6, 10, 2, 1, 10, 10, 1, 1, 2, 6, 1, 1, 1, 1, 6, 1, 10, 10, 2, 6, 10, 6, 2, 2, 0, 6, 1, 6, 6, 2, 10, 10, 6, 10, 6, 6, 10, 10, 10, 1, 10, 2, 4, 10, 6, 10, 10, 2, 6, 1, 6, 10, 2, 10, 6, 6, 2, 6, 2, 10, 4, 1, 2, 2, 2, 6, 10, 10, 2, 6, 1, 1, 1, 2, 1, 4, 1, 2, 2, 2, 6, 2, 1, 6, 6, 6, 6, 1, 6, 6, 1, 1, 6, 2, 2, 6, 6, 2, 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1, 10, 2, 1, 6, 1, 6, 5, 1, 10, 10, 1, 10, 10, 6, 2, 2, 2, 1, 6, 1, 10, 6, 1, 1, 2, 1, 1, 10, 1, 1, 10, 6, 2, 6, 10, 2, 6, 2, 1, 2, 10, 10, 6, 6, 2, 6, 1, 10, 10, 10, 2, 6, 10, 6, 10, 2, 2, 2, 2, 10, 10, 1, 1, 10, 2, 6, 10, 2, 10, 6, 2, 1, 1, 2, 6, 2, 6, 2, 1, 2, 1, 6, 5, 10, 2, 2, 2, 2, 2, 10, 10, 0, 10, 6, 2, 6, 10, 6, 2, 1, 2, 5, 10, 10, 2, 2, 1, 10, 4, 1, 2, 10, 1, 1, 1, 6, 6, 2, 2, 6, 10, 10, 6, 9, 1, 1, 1, 10, 2, 6, 1, 2, 6, 10, 6, 6, 6, 10, 10, 1, 10, 1, 5, 10, 10, 10, 10, 2, 1, 6, 10, 6, 6, 6, 6, 1, 2, 2, 10, 6, 1, 1, 10, 10, 1, 6, 1, 2, 10, 6, 1, 1, 2, 2, 6, 10, 2, 1, 1, 6, 1, 10, 1, 1, 1, 2, 6, 2, 10, 10, 1, 10, 2, 6, 2, 1, 2, 2, 4, 6, 10, 10, 2, 10, 6, 1, 2, 1, 6, 6, 2, 10, 4, 10, 1, 0, 6, 1, 1, 6, 2, 6, 2, 6, 1, 2, 6, 0, 10, 2, 2, 10, 10, 1, 1, 1, 2, 1, 1, 10, 2, 1, 2, 2, 10, 2, 1, 6, 7, 2, 2, 6, 2, 2, 10, 1, 0, 1, 1, 10, 6, 1, 2, 2, 6, 6, 1, 6, 6, 10, 10, 6, 10, 2, 1, 10, 6, 1, 2, 6, 2, 1, 2, 6, 10, 1, 1, 6, 10, 10, 1, 1, 6, 2, 1, 2, 6, 6, 6, 6, 2, 1, 6, 1, 10, 6, 10, 6, 10, 6, 1, 10, 10, 6, 2, 6, 1, 6, 10, 1, 1, 1, 6, 2, 6, 1, 6, 10, 10, 10, 10, 2, 2, 6, 10, 6, 6, 10, 6, 5, 6, 10, 10, 2, 2, 0, 10, 1, 1, 2, 1, 1, 2, 1, 2, 2, 9, 6, 2, 2, 2, 1, 6, 9, 6, 10, 10, 10, 50, 6, 6, 10, 1, 10, 10, 10, 1, 10, 1, 2, 2, 10, 2, 6, 6, 10, 1, 2, 1, 6, 1, 2, 6, 6, 2, 1, 1, 6, 6, 10, 6, 2, 10, 1, 1, 1, 6, 2, 1, 2, 6, 1, 6, 2, 10, 6, 1, 6, 2, 1, 1, 0, 2, 10, 10, 6, 1, 10, 2, 10, 10, 2, 10, 10, 2, 2, 2, 2, 2, 1, 5, 1, 1, 1, 2, 10, 1, 1, 6, 2, 10, 1, 6, 1, 10, 2, 2, 6, 6, 2, 2, 1, 1, 1, 6, 2, 1, 6, 1, 6, 10, 6, 4, 2, 2, 10, 2, 1, 10, 1, 1, 6, 1, 2, 2, 10, 10, 6, 2, 10, 6, 1, 10, 2, 6, 10, 10, 10, 10, 6, 6, 6, 1, 10, 6, 1, 10, 2, 1, 2, 1, 2, 1, 6, 6, 1, 2, 6, 1, 1, 10, 4, 10, 6, 2, 1, 2, 2, 10, 2, 1, 6, 6, 1, 6, 6, 10, 6, 2, 1, 1, 1, 1, 6, 1, 10, 2, 6, 2, 6, 1, 10, 2, 2, 6, 6, 2, 5, 2, 6, 1, 2, 10, 6, 6, 6, 10, 6, 10, 10, 2, 1, 2, 2, 10, 10, 1, 1, 6, 2, 2, 1, 1, 2, 10, 6, 10, 2, 2, 6, 1, 10, 10, 10, 6, 10, 1, 10, 1, 6, 2, 2, 1, 6, 6, 10, 1, 6, 2, 0, 1, 2, 10, 5, 4, 1, 6, 1, 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10, 10, 1, 2, 1, 6, 6, 6, 6, 2, 10, 2, 10, 2, 2, 1, 1, 6, 2, 6, 10, 10, 10, 6, 1, 10, 4, 10, 2, 1, 6, 10, 6, 10, 10, 10, 1, 10, 10, 10, 2, 1, 6, 2, 6, 1, 6, 6, 2, 1, 1, 2, 10, 2, 6, 1, 1, 2, 10, 10, 6, 10, 10, 2, 6, 1, 2, 10, 10, 10, 6, 1, 1, 1, 1, 2, 2, 6, 6, 6, 6, 10, 6, 1, 1, 1, 10, 1, 10, 1, 1, 10, 2, 2, 2, 10, 6, 6, 2, 6, 6, 10, 1, 2, 6, 6, 1, 2, 2, 1, 2, 6, 1, 1, 10, 1, 6, 2, 6, 6, 1, 2, 10, 10, 2, 10, 3, 6, 2, 2, 2, 1, 10, 10, 6, 1, 6, 1, 6, 40, 2, 6, 2, 6, 10, 6, 6, 6, 6, 6, 6, 1, 2, 1, 2, 2, 6, 1, 2, 6, 1, 6, 10, 1, 2, 1, 6, 6, 1, 6, 10, 2, 4, 10, 10, 6, 1, 2, 10, 5, 9, 6, 2, 1, 6, 10, 1, 6, 1, 1, 10, 10, 10, 10, 1, 2, 6, 10, 1, 2, 10, 2, 2, 2, 6, 9, 1, 6, 2, 10, 10, 6, 6, 2, 6, 1, 1, 2, 10, 6, 6, 1, 10, 6, 1, 6, 60, 10, 10, 1, 2, 1, 6, 10, 6, 6, 1, 1, 2, 1, 6, 2, 1, 4, 1, 1, 2, 1, 10, 2, 6, 10, 4, 1, 1, 10, 10, 10, 2, 1, 10, 10, 2, 10, 6, 10, 6, 10, 6, 10, 2, 6, 6, 6, 10, 1, 1, 6, 1, 1, 1, 2, 2, 10, 2, 10, 10, 1, 1, 2, 6, 10, 6, 0, 6, 10, 2, 2, 2, 2, 6, 6, 1, 6, 1, 2, 1, 10, 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6, 50, 2, 10, 2, 10, 2, 1, 2, 1, 2, 6, 10, 6, 6, 2, 10, 10, 10, 1, 1, 10, 6, 6, 10, 10, 6, 10, 10, 2, 1, 6, 1, 6, 1, 10, 10, 2, 1, 2, 2, 1, 2, 10, 2, 1, 6, 1, 1, 10, 1, 10, 10, 10, 2, 6, 10, 2, 1, 10, 7, 2, 6, 1, 10, 10, 2, 2, 9, 1, 1, 10, 6, 10, 1, 10, 2, 2, 6, 6, 10, 6, 1, 10, 1, 1, 6, 6, 1, 1, 1, 6, 1, 10, 6, 10, 6, 6, 2, 1, 10, 1, 1, 6, 10, 10, 1, 10, 10, 2, 1, 9, 2, 2, 6, 10, 1, 2, 6, 2, 2, 6, 10, 6, 6, 1, 2, 1, 10, 6, 6, 10, 6, 6, 6, 2, 6, 6, 6, 10, 10, 4, 10, 6, 1, 10, 6, 10, 6, 6, 2, 5, 10, 6, 6, 1, 6, 6, 2, 2, 2, 6, 1, 2, 2, 10, 6, 2, 1, 10, 10, 1, 1, 10, 6, 1, 10, 6, 6, 10, 6, 1, 6, 6, 10, 6, 1, 2, 1, 2, 1, 10, 10, 1, 6, 1, 1, 1, 2, 2, 6, 6, 1, 10, 10, 2, 10, 2, 1, 2, 6, 1, 1, 10, 2, 1, 6, 2, 6, 1, 2, 6, 1, 2, 1, 9, 1, 2, 10, 2, 2, 1, 6, 2, 2, 6, 2, 10, 1, 1, 10, 10, 10, 6, 2, 10, 1, 9, 2, 10, 10, 1, 1, 9, 10, 2, 2, 2, 10, 0, 1, 1, 6, 1, 6, 2, 6, 6, 6, 6, 10, 1, 2, 9, 10, 6, 2, 2, 1, 1, 6, 2, 10, 1, 1, 10, 10, 6, 1, 10, 10, 6, 2, 1, 1, 10, 10, 2, 2, 10, 6, 10, 10, 1, 6, 10, 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10, 9, 10, 10, 1, 6, 6, 1, 2, 2, 1, 10, 10, 1, 1, 6, 2, 10, 10, 10, 6, 2, 6, 1, 1, 10, 10, 6, 1, 2, 1, 2, 1, 6, 10, 6, 6, 1, 6, 10, 1, 10, 6, 6, 10, 1, 2, 1, 10, 1, 2, 6, 2, 2, 2, 2, 1, 6, 10, 10, 2, 10, 2, 2, 6, 2, 10, 10, 1, 2, 10, 9, 1, 10, 1, 2, 10, 1, 10, 10, 6, 1, 0, 1, 5, 1, 2, 1, 2, 6, 1, 9, 1, 6, 10, 2, 1, 10, 2, 2, 10, 10, 6, 2, 2, 1, 2, 2, 6, 1, 10, 6, 2, 6, 2, 1, 1, 1, 10, 2, 1, 10, 10, 10, 2, 1, 2, 6, 1, 10, 2, 6, 1, 2, 6, 2, 1, 10, 2, 6, 2, 2, 1, 1, 2, 6, 6, 2, 2, 6, 6, 2, 1, 1, 6, 2, 10, 6, 6, 6, 2, 10, 10, 2, 10, 10, 1, 2, 1, 6, 6, 6, 5, 2, 10, 5, 6, 2, 6, 10, 1, 6, 2, 10, 6, 10, 6, 2, 2, 1, 10, 6, 10, 6, 6, 1, 10, 6, 10, 1, 1, 1, 6, 10, 10, 10, 2, 2, 2, 1, 10, 1, 1, 1, 1, 10, 2, 6, 1, 2, 1, 10, 2, 2, 1, 2, 10, 2, 6, 6, 2, 10, 0, 6, 1, 2, 4, 0, 10, 6, 2, 10, 1, 6, 1, 2, 10, 10, 10, 6, 5, 6, 1, 2, 1, 6, 10, 6, 10, 2, 10, 1, 6, 10, 1, 6, 1, 2, 10, 10, 2, 6, 6, 5, 2, 1, 1, 6, 6, 6, 1, 10, 2, 6, 2, 1, 6, 9, 2, 10, 10, 2, 6, 6, 10, 2, 1, 2, 10, 10, 6, 10, 1, 10, 1, 1, 6, 2, 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1, 2, 1, 2, 10, 6, 6, 1, 1, 6, 1, 6, 2, 1, 6, 6, 10, 10, 6, 6, 5, 2, 10, 6, 2, 2, 2, 10, 10, 1, 6, 1, 2, 2, 2, 6, 2, 1, 2, 1, 2, 1, 1, 6, 10, 1, 10, 1, 2, 1, 6, 1, 6, 10, 1, 6, 10, 2, 10, 5, 2, 6, 5, 5, 2, 10, 10, 9, 2, 10, 6, 2, 1, 1, 10, 10, 10, 2, 6, 1, 1, 2, 6, 10, 2, 6, 1, 2, 10, 6, 6, 6, 1, 6, 6, 2, 1, 1, 6, 6, 2, 2, 6, 2, 2, 10, 1, 6, 2, 2, 10, 2, 1, 2, 2, 2, 6, 10, 10, 6, 1, 10, 1, 10, 6, 2, 6, 6, 1, 2, 6, 6, 1, 10, 10, 10, 9, 10, 6, 10, 6, 10, 10, 2, 2, 10, 10, 10, 1, 10, 10, 6, 6, 1, 1, 1, 2, 2, 10, 2, 10, 6, 1, 2, 10, 10, 6, 10, 6, 6, 10, 10, 1, 6, 1, 10, 10, 2, 10, 6, 6, 10, 10, 1, 1, 2, 6, 6, 4, 2, 10, 9, 6, 6, 10, 1, 1, 2, 1, 2, 10, 1, 1, 2, 10, 1, 2, 10, 8, 1, 6, 6, 6, 1, 6, 6, 2, 1, 6, 10, 2, 6, 2, 6, 2, 10, 6, 6, 10, 2, 10, 0, 10, 1, 6, 10, 10, 6, 6, 10, 1, 1, 10, 2, 6, 2, 1, 6, 1, 10, 10, 10, 2, 6, 6, 6, 1, 10, 1, 6, 6, 2, 4, 6, 1, 1, 1, 2, 10, 1, 1, 10, 1, 10, 10, 2, 1, 6, 1, 1, 2, 6, 10, 10, 1, 10, 10, 10, 4, 1, 1, 10, 6, 6, 2, 10, 6, 1, 6, 6, 1, 1, 1, 9, 10, 2, 6, 2, 6, 1, 2, 1, 6, 10, 2, 10, 10, 1, 1, 1, 2, 6, 6, 10, 2, 2, 1, 6, 6, 10, 10, 2, 2, 1, 1, 2, 1, 6, 6, 2, 6, 2, 10, 10, 6, 2, 6, 10, 6, 2, 6, 6, 2, 1, 6, 10, 2, 1, 10, 1, 2, 5, 1, 9, 6, 1, 6, 0, 0, 1, 2, 10, 10, 1, 1, 2, 1, 10, 6, 10, 10, 10, 1, 10, 10, 10, 1, 1, 1, 2, 6, 1, 9, 1, 6, 10, 2, 2, 6, 1, 1, 1, 6, 10, 6, 1, 1, 1, 6, 2, 1, 6, 6, 2, 1, 0, 10, 10, 10, 6, 10, 2, 2, 5, 1, 2, 6, 2, 2, 2, 1, 2, 1, 1, 10, 2, 10, 6, 10, 10, 1, 6, 1, 10, 6, 2, 2, 6, 1, 2, 2, 0, 2, 1, 2, 10, 1, 1, 6, 1, 6, 6, 1, 2, 10, 1, 2, 2, 6, 1, 6, 10, 10, 2, 10, 2, 6, 2, 2, 1, 2, 10, 4, 1, 10, 2, 10, 10, 2, 1, 10, 10, 10, 1, 2, 6, 2, 1, 1, 10, 2, 1, 6, 2, 10, 6, 1, 6, 1, 6, 2, 1, 10, 2, 6, 10, 10, 2, 1, 6, 2, 10, 2, 1, 6, 10, 10, 6, 2, 1, 1, 10, 1, 2, 6, 2, 6, 10, 1, 6, 6, 10, 6, 2, 1, 10, 2, 10, 0, 10, 1, 2, 10, 6, 10, 10, 2, 2, 6, 6, 10, 1, 1, 10, 10, 1, 6, 2, 10, 6, 10, 1, 6, 6, 2, 6, 1, 2, 2, 2, 2, 1, 10, 2, 1, 1, 0, 2, 6, 2, 10, 1, 6, 10, 1, 6, 2, 1, 1, 6, 10, 1, 10, 10, 10, 6, 6, 1, 6, 2, 2, 10, 1, 6, 1, 10, 6, 2, 1, 1, 6, 2, 6, 10, 6, 1, 1, 10, 6, 10, 10, 1, 1, 2, 6, 10, 4, 1, 2, 2, 6, 1, 10, 2, 1, 1, 1, 6, 2, 1, 6, 5, 10, 1, 1, 2, 6, 1, 2, 6, 6, 1, 2, 10, 4, 6, 2, 6, 10, 10, 1, 2, 6, 0, 2, 1, 10, 2, 10, 10, 1, 10, 10, 10, 1, 6, 2, 2, 1, 1, 2, 1, 10, 6, 2, 2, 6, 10, 1, 10, 10, 2, 2, 9, 6, 10, 2, 10, 1, 2, 6, 10, 10, 6, 6, 10, 6, 2, 2, 10, 6, 5, 1, 10, 1, 1, 2, 2, 1, 1, 2, 10, 2, 2, 2, 2, 1, 6, 2, 1, 10, 2, 1, 2, 6, 1, 1, 1, 6, 1, 10, 1, 6, 1, 1, 1, 2, 10, 1, 6, 1, 10, 10, 10, 2, 10, 0, 5, 10, 10, 1, 2, 10, 10, 10, 2, 1, 1, 1, 10, 1, 2, 2, 10, 10, 2, 10, 6, 2, 2, 10, 6, 10, 6, 2, 6, 6, 6, 10, 1, 4, 1, 6, 1, 1, 1, 1, 6, 1, 2, 4, 2, 6, 10, 2, 1, 5, 2, 2, 6, 2, 6, 6, 1, 10, 6, 6, 6, 10, 10, 6, 6, 6, 10, 10, 10, 6, 6, 2, 10, 2, 1, 2, 10, 6, 2, 2, 1, 10, 2, 1, 2, 1, 10, 2, 6, 6, 10, 6, 6, 10, 6, 10, 1, 2, 2, 1, 1, 6, 10, 0, 10, 1, 2, 1, 1, 2, 10, 6, 6, 2, 10, 10, 10, 1, 5, 2, 10, 6, 2, 1, 6, 2, 1, 1, 2, 2, 2, 2, 6, 2, 10, 1, 2, 1, 6, 2, 2, 6, 6, 2, 2, 10, 10, 6, 10, 1, 6, 2, 6, 4, 1, 6, 6, 10, 6, 10, 1, 6, 10, 10, 2, 1, 2, 10, 1, 1, 6, 2, 2, 4, 10, 1, 10, 1, 6, 2, 2, 10, 2, 2, 2, 1, 1, 6, 10, 2, 2, 10, 6, 6, 1, 2, 10, 6, 6, 6, 1, 6, 2, 2, 2, 10, 10, 6, 1, 5, 6, 10, 6, 1, 1, 10, 1, 1, 10, 1, 1, 2, 2, 6, 2, 1, 1, 2, 1, 2, 1, 10, 1, 5, 10, 10, 1, 1, 10, 5, 6, 1, 10, 1, 10, 9, 2, 2, 6, 10, 10, 2, 10, 10, 10, 10, 1, 2, 1, 1, 1, 6, 10, 1, 6, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 10, 2, 1, 10, 6, 9, 2, 1, 10, 6, 6, 1, 1, 2, 1, 5, 6, 1, 2, 10, 1, 2, 6, 1, 6, 0, 6, 2, 2, 6, 1, 1, 1, 1, 2, 10, 2, 2, 2, 6, 5, 6, 10, 6, 2, 2, 1, 1, 2, 6, 2, 6, 10, 2, 6, 2, 6, 10, 1, 2, 2, 10, 6, 2, 2, 10, 1, 6, 2, 2, 1, 1, 10, 1, 2, 2, 6, 6, 10, 1, 1, 1, 2, 6, 2, 6, 1, 10, 1, 1, 6, 1, 2, 10, 2, 6, 10, 2, 3, 10, 10, 1, 1, 6, 1, 1, 2, 1, 2, 2, 2, 1, 2, 6, 2, 1, 6, 1, 6, 6, 6, 6, 2, 10, 2, 1, 2, 10, 2, 6, 2, 10, 2, 6, 10, 1, 2, 6, 6, 2, 2, 6, 10, 6, 1, 2, 6, 2, 1, 1, 9, 10, 2, 0, 6, 6, 1, 1, 1, 10, 10, 10, 1, 1, 10, 1, 2, 2, 10, 6, 5, 10, 10, 1, 1, 2, 2, 2, 10, 1, 6, 1, 10, 2, 6, 10, 1, 10, 2, 1, 1, 10, 6, 10, 6, 1, 2, 1, 1, 10, 2, 10, 2, 1, 1, 6, 5, 1, 10, 1, 6, 10, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 6, 2, 10, 10, 2, 1, 2, 10, 2, 1, 6, 10, 10, 2, 1, 2, 2, 6, 6, 6, 10, 6, 1, 2, 6, 2, 6, 10, 2, 1, 1, 2, 6, 1, 1, 10, 1, 2, 10, 10, 10, 1, 1, 6, 2, 10, 10, 1, 1, 2, 6, 2, 1, 1, 6, 2, 6, 2, 1, 2, 1, 2, 2, 10, 1, 2, 10, 2, 2, 10, 2, 6, 1, 6, 1, 6, 2, 2, 2, 10, 6, 6, 1, 10, 1, 10, 1, 6, 6, 5, 10, 6, 10, 6, 1, 10, 10, 1, 1, 10, 6, 2, 10, 1, 6, 2, 6, 2, 2, 2, 10, 1, 6, 10, 2, 2, 6, 6, 2, 2, 6, 10, 2, 10, 1, 6, 2, 6, 2, 10, 1, 2, 1, 6, 2, 6, 2, 10, 6, 1, 1, 6, 1, 10, 10, 4, 1, 2, 6, 2, 2, 1, 6, 1, 6, 6, 10, 1, 2, 6, 10, 10, 10, 1, 6, 10, 6, 2, 10, 1, 6, 6, 1, 6, 2, 10, 2, 1, 2, 10, 6, 1, 10, 6, 10, 2, 2, 1, 1, 1, 10, 10, 4, 6, 6, 10, 6, 10, 2, 10, 2, 2, 6, 10, 10, 1, 2, 5, 10, 5, 2, 1, 2, 6, 1, 1, 2, 1, 6, 6, 6, 1, 6, 2, 2, 6, 2, 10, 2, 1, 10, 1, 2, 6, 2, 10, 1, 2, 10, 2, 1, 6, 10, 6, 4, 1, 6, 1, 10, 1, 6, 6, 6, 10, 10, 1, 2, 2, 2, 1, 2, 2, 10, 1, 1, 2, 10, 1, 10, 1, 2, 2, 2, 10, 1, 6, 1, 6, 1, 10, 2, 2, 6, 6, 2, 6, 6, 9, 1, 1, 1, 6, 2, 10, 10, 2, 6, 1, 6, 10, 10, 6, 2, 2, 10, 6, 2, 6, 1, 2, 10, 1, 6, 1, 6, 2, 1, 6, 6, 6, 6, 10, 3, 6, 6, 10, 1, 1, 6, 6, 1, 2, 1, 1, 6, 2, 6, 6, 2, 1, 2, 10, 10, 6, 5, 10, 6, 10, 1, 6, 2, 1, 1, 10, 1, 10, 1, 6, 10, 2, 6, 10, 6, 10, 10, 10, 6, 6, 10, 6, 10, 2, 2, 6, 2, 1, 2, 10, 1, 10, 6, 1, 2, 6, 1, 2, 40, 1, 6, 6, 2, 5, 6, 10, 6, 10, 2, 1, 6, 1, 10, 6, 2, 1, 1, 1, 2, 10, 2, 2, 2, 2, 9, 2, 2, 2, 10, 1, 6, 2, 1, 6, 10, 10, 6, 2, 1, 2, 10, 2, 2, 10, 1, 1, 10, 9, 2, 2, 6, 6, 2, 10, 2, 6, 6, 10, 9, 1, 1, 6, 2, 2, 10, 10, 10, 10, 1, 1, 6, 2, 1, 2, 2, 6, 6, 2, 10, 2, 1, 10, 10, 1, 10, 6, 10, 10, 10, 6, 6, 1, 5, 5, 10, 2, 2, 0, 6, 6, 10, 10, 2, 2, 10, 4, 6, 2, 10, 1, 6, 6, 1, 6, 6, 6, 1, 6, 6, 10, 1, 1, 6, 1, 4, 1, 10, 1, 10, 10, 2, 6, 2, 6, 1, 6, 6, 1, 6, 5, 2, 10, 6, 1, 6, 10, 10, 6, 2, 10, 2, 6, 10, 2, 6, 6, 10, 6, 6, 1, 1, 10, 1, 6, 6, 1, 2, 10, 2, 6, 6, 2, 2, 1, 2, 2, 6, 2, 10, 6, 1, 1, 1, 1, 6, 2, 2, 2, 10, 9, 2, 2, 1, 2, 6, 6, 10, 10, 10, 2, 6, 10, 10, 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6, 1, 6, 1, 2, 6, 1, 2, 10, 10, 6, 6, 1, 6, 10, 2, 10, 1, 6, 2, 6, 6, 2, 6, 9, 6, 6, 10, 1, 2, 2, 10, 1, 6, 2, 2, 1, 1, 10, 6, 6, 6, 1, 2, 6, 10, 6, 1, 2, 1, 2, 1, 1, 1, 2, 10, 4, 6, 1, 1, 10, 10, 1, 6, 6, 10, 10, 10, 6, 2, 2, 2, 10, 6, 10, 2, 6, 6, 1, 10, 1, 2, 1, 1, 2, 1, 2, 0, 10, 10, 6, 6, 10, 1, 2, 2, 2, 10, 1, 1, 6, 6, 6, 1, 2, 2, 6, 1, 6, 2, 1, 2, 10, 10, 1, 2, 10, 1, 2, 2, 5, 1, 2, 6, 6, 6, 10, 1, 6, 10, 2, 2, 10, 6, 10, 2, 6, 10, 6, 2, 6, 10, 2, 1, 6, 6, 0, 10, 2, 6, 6, 2, 1, 6, 10, 6, 6, 6, 5, 1, 2, 9, 6, 1, 2, 6, 10, 2, 5, 6, 1, 1, 1, 6, 6, 1, 1, 6, 10, 6, 1, 10, 1, 10, 4, 2, 2, 10, 1, 10, 1, 1, 6, 2, 6, 1, 10, 6, 2, 2, 1, 2, 1, 0, 10, 9, 10, 1, 10, 1, 10, 1, 2, 2, 6, 2, 1, 10, 2, 10, 1, 5, 2, 1, 1, 6, 1, 1, 10, 10, 1, 6, 10, 2, 1, 1, 4, 2, 2, 2, 6, 10, 2, 6, 10, 2, 10, 2, 1, 6, 10, 1, 10, 1, 6, 6, 10, 2, 1, 1, 2, 1, 10, 2, 6, 1, 2, 0, 10, 1, 10, 2, 1, 6, 10, 6, 2, 10, 1, 10, 10, 6, 6, 6, 10, 1, 1, 1, 2, 2, 1, 1, 10, 2, 2, 6, 10, 6, 10, 10, 6, 6, 6, 10, 10, 6, 10, 6, 10, 6, 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9, 1, 6, 6, 6, 1, 1, 1, 10, 6, 6, 2, 6, 2, 2, 1, 2, 6, 1, 10, 2, 6, 10, 10, 6, 2, 10, 6, 1, 10, 6, 10, 1, 10, 6, 2, 10, 6, 6, 9, 1, 2, 6, 1, 1, 6, 10, 6, 6, 10, 6, 6, 1, 1, 6, 6, 6, 2, 1, 2, 2, 10, 6, 1, 10, 1, 10, 6, 2, 2, 1, 2, 1, 10, 6, 6, 6, 1, 10, 6, 2, 6, 2, 10, 1, 10, 2, 10, 1, 2, 2, 6, 6, 10, 1, 10, 10, 6, 2, 10, 6, 1, 2, 6, 1, 10, 1, 6, 1, 6, 1, 6, 1, 2, 10, 2, 10, 6, 1, 2, 2, 2, 6, 2, 9, 4, 6, 6, 1, 10, 6, 10, 1, 1, 10, 1, 1, 2, 2, 1, 2, 2, 10, 6, 10, 2, 2, 2, 6, 1, 10, 1, 1, 10, 1, 6, 6, 6, 10, 6, 6, 1, 6, 1, 6, 2, 2, 6, 6, 2, 6, 6, 1, 10, 1, 2, 10, 6, 1, 6, 6, 10, 6, 1, 2, 1, 2, 6, 6, 1, 1, 1, 6, 2, 2, 10, 10, 6, 2, 6, 10, 10, 1, 6, 10, 6, 2, 6, 6, 0, 2, 1, 1, 2, 10, 6, 2, 10, 2, 10, 10, 2, 10, 2, 1, 2, 2, 1, 10, 10, 2, 2, 1, 10, 2, 6, 6, 10, 6, 1, 6, 10, 10, 10, 10, 2, 10, 2, 1, 2, 10, 1, 2, 10, 1, 1, 2, 10, 10, 1, 1, 6, 6, 2, 1, 10, 2, 2, 10, 10, 2, 6, 6, 1, 1, 10, 1, 10, 10, 10, 2, 10, 10, 2, 2, 6, 10, 10, 5, 6, 10, 6, 1, 2, 8, 1, 1, 10, 6, 10, 10, 6, 2, 1, 1, 2, 6, 2, 6, 1, 10, 6, 6, 1, 9, 10, 6, 10, 1, 1, 6, 1, 2, 1, 2, 6, 2, 2, 2, 10, 1, 6, 6, 4, 1, 1, 10, 1, 9, 2, 2, 6, 6, 6, 6, 6, 2, 6, 0, 2, 1, 6, 6, 2, 10, 2, 6, 10, 6, 10, 6, 10, 1, 2, 10, 1, 2, 1, 1, 2, 10, 1, 6, 1, 6, 10, 6, 2, 2, 6, 10, 10, 1, 2, 10, 1, 6, 2, 6, 10, 6, 2, 1, 2, 1, 2, 10, 10, 6, 6, 5, 2, 2, 1, 6, 1, 1, 10, 10, 1, 2, 10, 2, 2, 2, 10, 6, 6, 6, 6, 10, 2, 2, 4, 10, 10, 2, 1, 1, 2, 1, 6, 6, 2, 10, 10, 10, 1, 2, 2, 6, 1, 2, 2, 10, 6, 6, 1, 2, 6, 2, 2, 2, 10, 6, 2, 1, 2, 2, 2, 10, 1, 2, 2, 6, 1, 10, 6, 1, 10, 2, 10, 10, 6, 2, 2, 1, 10, 10, 10, 2, 1, 10, 1, 10, 4, 10, 10, 6, 1, 6, 10, 2, 1, 2, 10, 10, 6, 10, 6, 1, 6, 2, 10, 6, 1, 10, 6, 2, 5, 2, 0, 10, 6, 1, 6, 10, 1, 6, 2, 2, 10, 10, 10, 2, 2, 2, 10, 1, 10, 6, 1, 1, 6, 1, 10, 6, 2, 6, 10, 2, 6, 6, 2, 6, 1, 1, 1, 2, 3, 1, 1, 10, 2, 6, 6, 2, 6, 1, 6, 2, 1, 1, 10, 10, 1, 1, 1, 2, 6, 6, 10, 10, 2, 1, 10, 10, 2, 1, 2, 10, 10, 1, 10, 6, 10, 2, 10, 6, 6, 6, 10, 2, 6, 6, 10, 2, 1, 2, 10, 1, 6, 1, 6, 1, 10, 1, 1, 2, 10, 1, 10, 10, 10, 10, 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10, 1, 2, 6, 6, 10, 9, 2, 9, 10, 2, 1, 10, 10, 10, 0, 2, 10, 2, 6, 1, 1, 10, 0, 10, 1, 6, 1, 2, 4, 4, 6, 10, 2, 2, 10, 6, 6, 1, 10, 6, 6, 2, 6, 10, 2, 10, 2, 2, 2, 6, 6, 1, 1, 10, 6, 1, 1, 2, 2, 2, 1, 1, 5, 10, 0, 1, 2, 2, 10, 2, 6, 2, 6, 6, 1, 6, 2, 10, 2, 1, 5, 6, 1, 1, 6, 10, 1, 1, 2, 6, 10, 10, 6, 6, 1, 1, 6, 2, 6, 1, 6, 10, 10, 6, 0, 1, 6, 2, 1, 10, 2, 10, 2, 6, 2, 10, 6, 6, 2, 0, 2, 10, 10, 10, 1, 10, 6, 1, 1, 6, 10, 1, 2, 6, 6, 6, 2, 1, 10, 1, 1, 2, 10, 6, 2, 2, 6, 10, 10, 1, 10, 2, 6, 6, 1, 2, 1, 10, 6, 2, 2, 2, 2, 6, 6, 6, 1, 2, 10, 10, 2, 2, 6, 10, 6, 2, 2, 6, 2, 6, 1, 10, 6, 10, 2, 1, 2, 1, 10, 9, 1, 10, 6, 6, 2, 2, 2, 2, 10, 1, 2, 10, 10, 2, 5, 6, 2, 1, 2, 10, 2, 2, 2, 6, 10, 10, 1, 1, 2, 10, 6, 10, 5, 10, 2, 2, 2, 1, 2, 1, 1, 10, 10, 2, 6, 10, 6, 6, 1, 2, 1, 6, 1, 1, 6, 10, 10, 6, 2, 6, 1, 1, 1, 10, 10, 2, 2, 10, 10, 1, 2, 6, 10, 1, 6, 6, 10, 6, 1, 2, 10, 2, 6, 2, 1, 1, 2, 1, 2, 6, 10, 1, 1, 10, 1, 2, 6, 2, 6, 10, 1, 10, 2, 4, 1, 2, 6, 6, 10, 1, 1, 2, 6, 6, 2, 10, 10, 2, 2, 10, 2, 2, 10, 1, 2, 2, 6, 10, 5, 10, 1, 10, 6, 6, 10, 2, 6, 10, 2, 6, 2, 1, 2, 6, 2, 6, 1, 10, 6, 6, 6, 2, 2, 6, 1, 10, 10, 1, 2, 1, 2, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 10, 6, 6, 10, 2, 2, 6, 6, 2, 2, 6, 10, 1, 10, 1, 0, 1, 1, 1, 1, 2, 2, 6, 2, 1, 10, 10, 10, 6, 10, 2, 6, 2, 10, 10, 1, 0, 1, 1, 10, 10, 6, 5, 2, 1, 1, 10, 6, 10, 10, 6, 9, 6, 6, 1, 4, 2, 1, 10, 6, 1, 6, 2, 6, 1, 2, 6, 2, 6, 6, 2, 6, 2, 6, 1, 0, 2, 2, 1, 2, 2, 1, 2, 10, 6, 10, 2, 6, 10, 10, 1, 2, 1, 6, 1, 10, 10, 1, 6, 1, 2, 6, 2, 1, 10, 1, 2, 2, 1, 2, 6, 6, 10, 6, 2, 1, 2, 2, 6, 2, 10, 10, 0, 10, 6, 6, 2, 10, 1, 1, 2, 6, 9, 1, 1, 6, 10, 10, 6, 2, 4, 10, 1, 2, 2, 10, 2, 10, 2, 10, 6, 1, 2, 1, 6, 6, 1, 6, 10, 2, 6, 2, 1, 2, 10, 2, 1, 10, 1, 10, 1, 1, 2, 1, 1, 6, 6, 1, 6, 6, 2, 2, 10, 1, 1, 2, 2, 6, 1, 1, 0, 1, 1, 6, 6, 2, 1, 10, 5, 1, 2, 6, 6, 1, 6, 10, 6, 6, 6, 6, 10, 1, 4, 6, 6, 10, 1, 2, 5, 1, 6, 10, 10, 1, 1, 1, 5, 2, 6, 6, 10, 1, 10, 1, 2, 2, 6, 10, 2, 1, 10, 2, 1, 10, 2, 10, 2, 6, 1, 2, 2, 6, 6, 10, 6, 2, 10, 10, 1, 1, 10, 6, 10, 6, 10, 6, 1, 6, 10, 10, 2, 6, 10, 2, 10, 1, 6, 1, 1, 6, 1, 6, 10, 10, 6, 6, 2, 6, 2, 2, 6, 1, 2, 1, 6, 6, 1, 2, 6, 2, 1, 2, 1, 6, 2, 2, 10, 2, 6, 2, 1, 2, 10, 2, 1, 6, 6, 2, 6, 1, 10, 2, 6, 2, 4, 10, 1, 10, 6, 2, 6, 1, 2, 10, 6, 10, 1, 6, 2, 10, 1, 6, 2, 6, 6, 2, 1, 10, 1, 2, 2, 6, 1, 2, 10, 1, 1, 10, 10, 10, 2, 2, 6, 10, 10, 2, 6, 6, 1, 10, 1, 1, 6, 1, 6, 1, 2, 6, 1, 10, 1, 10, 1, 6, 10, 2, 6, 2, 6, 1, 10, 10, 10, 6, 2, 1, 1, 0, 2, 10, 10, 2, 6, 10, 1, 6, 2, 6, 10, 10, 2, 2, 2, 9, 2, 10, 2, 2, 9, 10, 1, 6, 10, 2, 1, 1, 10, 10, 6, 2, 10, 6, 6, 10, 2, 1, 6, 6, 2, 2, 6, 2, 10, 6, 10, 2, 1, 6, 10, 6, 1, 10, 1, 10, 1, 10, 2, 2, 6, 1, 1, 2, 6, 10, 1, 1, 2, 10, 1, 10, 1, 6, 2, 10, 6, 10, 2, 6, 2, 10, 10, 1, 1, 6, 4, 1, 2, 1, 6, 10, 2, 10, 2, 6, 2, 2, 0, 6, 6, 10, 6, 6, 6, 1, 2, 6, 1, 6, 2, 1, 1, 6, 10, 10, 9, 10, 10, 6, 2, 6, 6, 2, 1, 1, 2, 2, 1, 1, 1, 1, 10, 1, 6, 2, 6, 10, 1, 6, 10, 2, 6, 6, 6, 10, 10, 10, 2, 2, 1, 6, 10, 10, 2, 6, 10, 6, 6, 2, 6, 6, 6, 1, 2, 10, 2, 10, 10, 6, 10, 6, 2, 1, 10, 10, 6, 1, 6, 2, 10, 2, 2, 10, 1, 1, 6, 2, 1, 1, 4, 1, 10, 6, 6, 2, 5, 2, 1, 6, 1, 2, 2, 6, 10, 6, 0, 2, 9, 1, 6, 10, 10, 2, 10, 2, 2, 9, 10, 6, 10, 10, 1, 6, 10, 10, 1, 6, 10, 10, 6, 2, 10, 2, 6, 1, 2, 10, 1, 1, 6, 6, 1, 1, 5, 6, 6, 6, 1, 6, 10, 6, 6, 1, 6, 6, 1, 10, 10, 2, 9, 6, 10, 2, 1, 10, 2, 10, 10, 10, 1, 2, 1, 1, 1, 2, 1, 1, 6, 10, 6, 0, 6, 2, 1, 10, 2, 2, 10, 6, 0, 10, 1, 1, 2, 6, 1, 2, 6, 10, 2, 1, 6, 6, 1, 1, 1, 10, 1, 10, 1, 2, 6, 2, 6, 1, 2, 10, 10, 10, 10, 6, 9, 4, 6, 2, 2, 1, 6, 2, 2, 1, 2, 6, 2, 10, 6, 6, 10, 10, 6, 1, 7, 0, 6, 2, 2, 2, 10, 1, 10, 2, 6, 6, 6, 2, 6, 2, 10, 2, 2, 9, 1, 2, 2, 10, 10, 6, 10, 6, 10, 10, 1, 1, 10, 2, 1, 2, 10, 6, 6, 10, 10, 2, 1, 10, 1, 5, 10, 2, 2, 2, 2, 10, 1, 1, 6, 1, 6, 10, 6, 2, 6, 1, 1, 10, 6, 2, 2, 2, 6, 10, 6, 2, 10, 2, 6, 6, 10, 6, 2, 1, 9, 1, 6, 10, 2, 6, 2, 0, 1, 6, 1, 10, 1, 10, 6, 1, 10, 1, 1, 1, 1, 2, 6, 2, 1, 6, 2, 6, 1, 1, 6, 6, 1, 1, 1, 10, 2, 2, 2, 10, 1, 10, 6, 10, 6, 10, 10, 1, 2, 2, 6, 10, 10, 6, 2, 2, 6, 6, 1, 2, 1, 10, 10, 1, 10, 2, 10, 1, 9, 10, 10, 6, 1, 2, 10, 10, 6, 6, 1, 1, 6, 10, 0, 2, 2, 6, 6, 1, 10, 10, 2, 6, 10, 2, 1, 10, 6, 6, 6, 6, 10, 1, 10, 10, 10, 6, 2, 1, 6, 1, 10, 10, 10, 1, 2, 1, 10, 10, 10, 2, 2, 2, 1, 10, 6, 2, 10, 2, 10, 1, 6, 1, 10, 10, 10, 1, 10, 10, 2, 1, 2, 6, 1, 2, 6, 1, 6, 6, 1, 6, 1, 10, 1, 9, 2, 2, 6, 6, 1, 10, 2, 6, 1, 6, 2, 6, 10, 6, 60, 1, 1, 10, 6, 1, 6, 1, 1, 6, 10, 2, 6, 6, 10, 1, 10, 9, 10, 1, 1, 1, 6, 10, 6, 6, 5, 10, 2, 10, 10, 10, 6, 6, 10, 2, 10, 10, 6, 10, 2, 2, 10, 1, 2, 2, 6, 2, 2, 1, 1, 10, 6, 6, 10, 1, 10, 1, 1, 1, 1, 10, 2, 2, 10, 2, 1, 1, 1, 10, 6, 6, 1, 10, 10, 2, 1, 6, 10, 2, 2, 6, 6, 2, 6, 6, 6, 1, 1, 6, 0, 1, 10, 1, 2, 6, 1, 6, 5, 2, 2, 2, 6, 6, 10, 6, 10, 6, 1, 1, 6, 6, 10, 1, 2, 10, 6, 1, 2, 1, 2, 1, 1, 6, 9, 1, 2, 6, 6, 2, 2, 6, 6, 2, 2, 10, 10, 6, 1, 6, 2, 2, 2, 1, 2, 2, 2, 6, 2, 10, 2, 1, 0, 10, 10, 1, 2, 6, 10, 10, 2, 10, 10, 1, 1, 10, 10, 1, 1, 1, 6, 1, 10, 6, 10, 2, 6, 2, 2, 6, 6, 5, 1, 2, 2, 1, 6, 2, 1, 6, 2, 6, 1, 6, 1, 1, 6, 10, 10, 2, 2, 6, 2, 0, 10, 6, 10, 6, 2, 10, 2, 2, 6, 2, 1, 10, 2, 1, 6, 40, 2, 6, 1, 2, 9, 6, 10, 1, 2, 1, 2, 1, 10, 1, 10, 10, 1, 10, 6, 10, 4, 6, 10, 6, 1, 6, 10, 2, 6, 6, 4, 6, 1, 1, 6, 1, 2, 2, 1, 2, 6, 1, 1, 4, 6, 2, 1, 6, 1, 1, 1, 2, 1, 6, 1, 10, 10, 6, 2, 6, 1, 6, 2, 2, 10, 1, 2, 2, 10, 1, 9, 2, 1, 10, 2, 2, 10, 2, 2, 1, 10, 5, 6, 1, 2, 10, 6, 2, 1, 10, 2, 10, 0, 1, 10, 10, 10, 6, 6, 6, 1, 2, 10, 1, 10, 1, 10, 6, 2, 1, 6, 6, 6, 2, 1, 9, 1, 2, 6, 10, 10, 1, 6, 10, 10, 10, 6, 6, 6, 6, 10, 1, 10, 2, 1, 1, 2, 2, 1, 1, 1, 5, 10, 10, 2, 1, 6, 2, 6, 10, 1, 10, 2, 10, 1, 10, 2, 1, 1, 1, 2, 10, 10, 2, 6, 1, 2, 10, 2, 10, 2, 2, 10, 6, 2, 2, 1, 1, 1, 2, 10, 10, 10, 6, 1, 1, 6, 1, 6, 2, 50, 10, 6, 2, 10, 10, 10, 2, 10, 1, 1, 1, 10, 1, 2, 6, 6, 1, 2, 10, 1, 2, 2, 10, 1, 1, 2, 0, 2, 1, 1, 6, 6, 1, 6, 2, 2, 6, 10, 1, 1, 6, 1, 2, 10, 10, 6, 10, 1, 1, 2, 1, 6, 1, 9, 1, 1, 1, 1, 2, 10, 1, 2, 6, 9, 2, 1, 10, 2, 6, 6, 10, 2, 1, 10, 2, 2, 6, 6, 5, 1, 1, 2, 9, 2, 6, 1, 6, 6, 1, 6, 1, 6, 1, 10, 10, 6, 6, 10, 6, 1, 1, 2, 2, 6, 4, 1, 1, 1, 1, 10, 6, 6, 2, 6, 2, 1, 1, 2, 1, 6, 1, 1, 2, 10, 6, 2, 2, 10, 1, 2, 6, 6, 9, 10, 0, 10, 1, 2, 1, 6, 5, 10, 1, 10, 1, 2, 4, 2, 6, 2, 2, 10, 2, 6, 1, 2, 1, 2, 6, 1, 10, 6, 10, 10, 6, 6, 10, 6, 2, 1, 6, 2, 1, 6, 1, 6, 10, 1, 10, 2, 1, 2, 6, 2, 2, 10, 2, 10, 10, 6, 1, 2, 2, 1, 6, 1, 6, 2, 1, 1, 1, 2, 10, 2, 1, 1, 1, 6, 1, 10, 1, 2, 2, 2, 2, 10, 6, 2, 1, 2, 10, 10, 6, 2, 10, 1, 2, 1, 1, 6, 10, 1, 2, 10, 2, 6, 10, 10, 10, 10, 10, 6, 6, 6, 10, 6, 1, 6, 6, 1, 10, 1, 1, 1, 10, 1, 10, 10, 6, 2, 2, 2, 10, 2, 1, 10, 2, 1, 2, 6, 2, 10, 1, 10, 6, 1, 1, 6, 1, 10, 2, 6, 2, 2, 1, 6, 10, 6, 2, 2, 6, 2, 10, 10, 2, 6, 10, 1, 10, 1, 6, 1, 1, 6, 2, 1, 2, 2, 2, 10, 2, 6, 1, 2, 2, 6, 1, 2, 2, 1, 5, 1, 10, 10, 6, 1, 10, 2, 10, 6, 2, 1, 1, 1, 1, 6, 6, 10, 2, 6, 2, 2, 6, 10, 6, 10, 1, 10, 10, 1, 2, 2, 9, 2, 10, 1, 6, 2, 6, 1, 6, 2, 2, 1, 10, 10, 10, 2, 2, 10, 1, 1, 2, 6, 10, 5, 1, 10, 6, 2, 2, 10, 10, 1, 1, 1, 10, 10, 2, 6, 10, 2, 1, 6, 10, 10, 6, 1, 2, 10, 6, 1, 1, 6, 6, 6, 1, 6, 1, 1, 6, 2, 6, 1, 1, 6, 1, 1, 10, 1, 6, 2, 6, 10, 1, 6, 1, 6, 10, 6, 6, 2, 2, 6, 1, 0, 2, 2, 6, 6, 6, 10, 10, 10, 6, 2, 10, 6, 0, 6, 6, 6, 1, 1, 1, 1, 2, 6, 1, 6, 2, 2, 10, 10, 2, 6, 2, 10, 10, 1, 2, 2, 1, 10, 10, 10, 10, 1, 10, 10, 6, 1, 10, 2, 2, 2, 6, 10, 6, 10, 10, 1, 1, 2, 2, 1, 10, 10, 2, 6, 1, 1, 10, 10, 1, 2, 2, 6, 2, 1, 1, 6, 1, 6, 6, 6, 10, 6, 1, 6, 1, 1, 10, 1, 10, 6, 2, 2, 9, 10, 10, 4, 10, 10, 1, 1, 1, 1, 5, 2, 2, 1, 2, 1, 2, 6, 10, 6, 9, 2, 10, 1, 6, 6, 10, 6, 1, 1, 1, 1, 2, 6, 6, 1, 2, 2, 2, 1, 1, 10, 1, 10, 1, 10, 6, 2, 2, 1, 2, 2, 1, 1, 10, 6, 10, 10, 1, 10, 10, 2, 6, 2, 6, 2, 10, 10, 0, 1, 6, 1, 2, 10, 1, 10, 10, 1, 2, 1, 10, 10, 2, 10, 2, 1, 10, 10, 6, 10, 10, 10, 9, 10, 2, 6, 6, 6, 10, 1, 2, 10, 10, 2, 6, 2, 1, 2, 1, 1, 6, 10, 6, 1, 6, 10, 1, 1, 2, 1, 1, 2, 2, 10, 10, 1, 6, 2, 2, 1, 2, 2, 10, 10, 6, 2, 0, 2, 2, 6, 2, 1, 6, 10, 6, 9, 2, 10, 6, 1, 10, 10, 10, 10, 2, 6, 10, 1, 2, 6, 0, 10, 10, 2, 1, 2, 6, 1, 5, 1, 2, 5, 1, 6, 2, 10, 1, 1, 10, 2, 2, 1, 1, 10, 6, 1, 2, 1, 1, 6, 2, 6, 6, 6, 2, 6, 1, 2, 2, 2, 6, 10, 10, 6, 6, 10, 6, 6, 10, 1, 2, 1, 10, 2, 2, 6, 1, 2, 10, 2, 2, 4, 6, 10, 2, 10, 6, 6, 1, 2, 1, 6, 6, 1, 4, 6, 1, 2, 2, 4, 10, 6, 6, 6, 1, 6, 1, 1, 6, 1, 2, 6, 10, 10, 1, 1, 1, 6, 60, 6, 2, 1, 2, 6, 2, 1, 6, 10, 1, 2, 2, 1, 1, 2, 2, 10, 10, 10, 10, 1, 10, 10, 2, 6, 6, 6, 6, 2, 1, 5, 0, 10, 2, 10, 2, 6, 10, 1, 1, 2, 1, 10, 1, 10, 9, 10, 1, 10, 1, 6, 10, 10, 10, 10, 6, 2, 10, 1, 1, 10, 6, 1, 2, 2, 0, 10, 2, 6, 6, 10, 10, 10, 1, 10, 2, 6, 6, 10, 6, 6, 1, 1, 10, 10, 1, 2, 4, 5, 2, 1, 10, 2, 10, 6, 1, 2, 1, 6, 10, 6, 2, 2, 10, 1, 6, 2, 6, 10, 10, 10, 1, 6, 6, 6, 10, 1, 1, 5, 10, 6, 1, 10, 6, 2, 10, 6, 2, 9, 1, 6, 2, 2, 6, 1, 6, 2, 10, 2, 0, 1, 6, 10, 2, 1, 1, 2, 1, 6, 1, 1, 6, 1, 1, 1, 1, 1, 6, 10, 6, 2, 10, 6, 10, 1, 1, 6, 10, 1, 2, 1, 10, 10, 10, 10, 2, 1, 10, 6, 10, 1, 2, 2, 1, 1, 6, 10, 1, 1, 2, 9, 10, 2, 6, 1, 10, 10, 2, 2, 1, 6, 0, 6, 10, 6, 6, 6, 2, 1, 1, 2, 2, 1, 6, 2, 2, 6, 2, 10, 6, 1, 1, 10, 2, 2, 10, 6, 1, 2, 1, 2, 6, 6, 1, 1, 4, 6, 2, 6, 2, 1, 9, 10, 1, 10, 10, 1, 2, 2, 2, 6, 2, 6, 2, 10, 1, 1, 10, 1, 2, 2, 2, 6, 6, 1, 10, 2, 6, 10, 10, 5, 6, 6, 1, 2, 1, 1, 2, 6, 2, 1, 10, 6, 10, 6, 6, 2, 10, 6, 6, 10, 6, 2, 10, 1, 2, 10, 2, 10, 6, 10, 10, 6, 1, 10, 1, 1, 10, 2, 6, 6, 10, 10, 1, 1, 2, 2, 2, 6, 1, 6, 10, 10, 1, 6, 6, 6, 6, 10, 10, 9, 10, 10, 2, 2, 2, 2, 10, 2, 6, 1, 6, 6, 10, 10, 2, 6, 0, 6, 10, 2, 10, 6, 2, 2, 10, 6, 2, 6, 1, 2, 10, 2, 2, 10, 10, 6, 2, 10, 2, 10, 6, 2, 6, 6, 6, 2, 10, 10, 2, 10, 6, 6, 10, 6, 10, 6, 6, 10, 6, 2, 6, 10, 2, 1, 1, 2, 10, 1, 1, 1, 1, 1, 2, 6, 2, 6, 5, 1, 1, 1, 2, 2, 1, 10, 6, 2, 2, 2, 2, 1, 5, 6, 2, 10, 2, 6, 10, 10, 2, 2, 2, 2, 6, 1, 2, 6, 6, 10, 1, 2, 2, 10, 2, 10, 6, 10, 2, 6, 6, 10, 5, 2, 1, 5, 2, 10, 6, 2, 6, 4, 1, 2, 1, 1, 6, 5, 10, 1, 10, 10, 1, 10, 6, 1, 1, 6, 1, 1, 2, 1, 2, 6, 2, 1, 1, 1, 1, 6, 2, 6, 10, 6, 2, 2, 1, 6, 2, 2, 2, 1, 10, 2, 6, 10, 6, 10, 2, 2, 6, 2, 6, 2, 10, 5, 2, 10, 6, 1, 2, 10, 10, 2, 10, 10, 2, 1, 2, 1, 10, 2, 1, 6, 1, 1, 2, 6, 2, 1, 1, 1, 2, 2, 1, 10, 1, 6, 2, 6, 10, 6, 1, 6, 10, 2, 2, 6, 1, 2, 10, 5, 10, 1, 1, 2, 10, 1, 10, 6, 2, 2, 10, 1, 6, 2, 1, 2, 6, 2, 6, 6, 1, 1, 6, 6, 2, 5, 10, 6, 2, 10, 1, 10, 6, 6, 10, 6, 6, 6, 6, 2, 6, 6, 10, 6, 6, 6, 10, 10, 1, 1, 6, 10, 4, 1, 2, 6, 2, 6, 10, 10, 5, 10, 2, 2, 1, 1, 1, 1, 1, 6, 10, 1, 2, 6, 6, 2, 1, 10, 6, 1, 10, 1, 6, 6, 6, 1, 10, 2, 6, 2, 10, 6, 10, 6, 0, 2, 10, 6, 1, 6, 1, 6, 2, 10, 1, 1, 1, 10, 10, 2, 10, 2, 2, 2, 2, 6, 10, 6, 2, 6, 0, 10, 1, 6, 6, 6, 2, 1, 10, 6, 2, 1, 2, 10, 2, 10, 10, 2, 10, 2, 9, 10, 2, 2, 1, 6, 2, 10, 2, 6, 6, 10, 1, 10, 9, 10, 6, 10, 1, 1, 1, 1, 10, 2, 6, 10, 2, 6, 6, 10, 2, 6, 2, 1, 10, 10, 1, 10, 10, 10, 0, 1, 1, 2, 1, 6, 2, 2, 9, 10, 10, 1, 6, 1, 6, 6, 2, 2, 1, 2, 2, 10, 1, 1, 1, 10, 1, 1, 10, 2, 1, 0, 10, 2, 10, 0, 6, 10, 10, 6, 10, 2, 1, 10, 1, 2, 1, 10, 10, 1, 1, 10, 10, 1, 10, 10, 10, 2, 1, 10, 2, 1, 6, 2, 1, 2, 10, 1, 6, 6, 1, 6, 2, 1, 6, 1, 10, 10, 1, 6, 6, 6, 10, 10, 1, 6, 10, 10, 10, 2, 2, 6, 2, 10, 2, 2, 6, 1, 10, 2, 1, 1, 2, 1, 2, 10, 2, 1, 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6, 1, 1, 2, 1, 10, 10, 6, 2, 2, 1, 1, 2, 1, 2, 6, 10, 6, 10, 1, 6, 6, 10, 2, 6, 10, 6, 1, 1, 5, 2, 1, 1, 6, 6, 10, 6, 2, 2, 1, 1, 1, 2, 1, 6, 2, 6, 1, 2, 10, 10, 10, 6, 2, 2, 6, 2, 1, 10, 6, 2, 10, 1, 2, 10, 6, 10, 1, 1, 10, 1, 1, 1, 1, 10, 2, 6, 9, 2, 0, 1, 2, 10, 6, 2, 6, 2, 1, 1, 10, 1, 10, 10, 6, 2, 2, 10, 6, 1, 2, 10, 1, 2, 1, 10, 6, 10, 10, 6, 10, 10, 6, 2, 6, 1, 1, 6, 6, 4, 6, 10, 10, 10, 2, 10, 1, 10, 2, 10, 1, 10, 6, 1, 1, 6, 6, 1, 2, 6, 1, 10, 1, 2, 1, 10, 10, 10, 2, 10, 5, 2, 2, 10, 6, 2, 6, 6, 4, 2, 10, 10, 1, 6, 6, 2, 10, 10, 6, 1, 10, 1, 6, 2, 1, 6, 2, 10, 6, 2, 2, 6, 1, 10, 10, 10, 1, 10, 10, 1, 2, 1, 1, 6, 2, 6, 10, 1, 10, 2, 6, 1, 2, 6, 1, 2, 2, 1, 6, 10, 10, 6, 1, 6, 10, 10, 0, 6, 1, 1, 1, 6, 1, 10, 2, 10, 10, 10, 1, 6, 10, 6, 6, 1, 10, 10, 1, 6, 10, 2, 1, 10, 10, 10, 10, 2, 6, 1, 1, 10, 10, 6, 10, 1, 10, 2, 1, 10, 6, 10, 10, 0, 10, 2, 10, 1, 10, 6, 10, 6, 1, 1, 10, 2, 6, 2, 6, 1, 10, 2, 2, 10, 10, 2, 1, 2, 2, 10, 2, 1, 10, 1, 6, 6, 10, 6, 2, 2, 2, 1, 1, 1, 2, 1, 10, 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10, 4, 1, 5, 2, 6, 2, 2, 6, 1, 6, 6, 2, 2, 2, 6, 2, 2, 6, 6, 10, 1, 10, 2, 10, 6, 10, 2, 2, 2, 2, 6, 6, 6, 6, 10, 2, 10, 2, 1, 6, 6, 10, 10, 2, 5, 1, 2, 1, 1, 10, 6, 10, 10, 1, 10, 1, 6, 2, 5, 10, 10, 10, 10, 1, 6, 1, 10, 1, 10, 6, 1, 1, 1, 2, 6, 1, 10, 2, 1, 6, 1, 6, 6, 6, 5, 6, 10, 6, 1, 10, 6, 10, 1, 2, 6, 2, 2, 10, 2, 6, 6, 6, 10, 10, 10, 10, 10, 10, 6, 6, 2, 1, 2, 10, 6, 6, 6, 10, 1, 1, 10, 10, 2, 6, 9, 2, 1, 10, 2, 1, 1, 10, 10, 1, 4, 1, 2, 10, 6, 1, 6, 6, 2, 1, 1, 6, 2, 10, 6, 6, 6, 1, 10, 9, 10, 10, 6, 10, 10, 4, 6, 2, 1, 1, 2, 2, 10, 0, 6, 6, 2, 6, 1, 6, 6, 6, 1, 10, 2, 1, 6, 1, 2, 9, 1, 2, 10, 2, 1, 1, 10, 1, 6, 1, 6, 1, 6, 1, 6, 6, 9, 2, 2, 6, 6, 6, 1, 50, 2, 10, 2, 1, 1, 1, 2, 1, 6, 6, 10, 2, 2, 6, 2, 6, 2, 2, 1, 6, 1, 1, 6, 6, 1, 2, 10, 10, 2, 10, 6, 2, 2, 1, 10, 6, 10, 6, 2, 2, 1, 6, 2, 6, 2, 6, 10, 2, 6, 6, 2, 2, 1, 2, 6, 2, 10, 2, 2, 6, 2, 6, 6, 6, 10, 5, 2, 1, 2, 6, 6, 6, 1, 1, 6, 4, 1, 6, 10, 2, 6, 6, 10, 1, 10, 1, 2, 9, 1, 10, 6, 1, 6, 1, 1, 1, 2, 2, 6, 2, 1, 2, 6, 6, 6, 10, 10, 6, 10, 1, 9, 6, 2, 1, 1, 2, 2, 2, 2, 10, 1, 6, 1, 2, 10, 6, 10, 1, 6, 2, 1, 6, 10, 10, 6, 1, 10, 6, 10, 10, 10, 1, 10, 2, 6, 1, 1, 6, 2, 1, 2, 6, 2, 4, 2, 1, 1, 1, 2, 6, 1, 6, 6, 6, 10, 2, 6, 2, 1, 6, 2, 2, 2, 2, 6, 6, 5, 10, 2, 6, 10, 10, 10, 2, 10, 10, 2, 10, 10, 6, 10, 1, 6, 6, 1, 1, 6, 2, 2, 6, 1, 6, 2, 6, 1, 2, 2, 1, 4, 1, 1, 1, 10, 2, 1, 10, 9, 10, 1, 2, 6, 1, 2, 2, 1, 4, 6, 10, 6, 2, 10, 1, 1, 10, 2, 6, 10, 2, 6, 2, 2, 6, 1, 1, 6, 2, 6, 1, 2, 1, 6, 1, 2, 6, 2, 2, 2, 1, 10, 2, 10, 6, 10, 1, 6, 6, 1, 6, 10, 6, 10, 10, 1, 1, 6, 6, 6, 2, 1, 2, 6, 1, 6, 10, 2, 6, 6, 6, 10, 10, 6, 2, 1, 6, 6, 2, 6, 1, 1, 6, 10, 6, 10, 6, 2, 0, 2, 1, 6, 6, 10, 10, 2, 1, 1, 1, 1, 2, 6, 2, 10, 6, 10, 2, 2, 10, 1, 2, 2, 6, 2, 2, 2, 2, 6, 2, 6, 10, 10, 6, 6, 10, 10, 10, 2, 10, 2, 6, 1, 10, 4, 2, 10, 4, 6, 6, 1, 1, 2, 10, 1, 1, 2, 6, 6, 6, 6, 6, 6, 10, 10, 1, 1, 2, 6, 6, 1, 10, 2, 1, 1, 2, 1, 10, 2, 6, 6, 1, 10, 1, 10, 2, 1, 6, 10, 2, 10, 2, 6, 1, 6, 1, 2, 10, 1, 2, 1, 6, 10, 10, 1, 2, 1, 1, 2, 10, 1, 10, 1, 2, 1, 6, 2, 1, 2, 6, 10, 2, 10, 6, 10, 1, 6, 1, 6, 6, 1, 10, 10, 10, 1, 10, 1, 10, 10, 1, 10, 2, 2, 1, 10, 2, 10, 10, 2, 2, 6, 1, 2, 10, 1, 2, 1, 1, 2, 1, 10, 6, 2, 2, 2, 2, 1, 2, 6, 1, 10, 6, 4, 2, 9, 10, 1, 10, 2, 2, 6, 1, 10, 10, 10, 10, 1, 1, 2, 2, 1, 10, 10, 6, 1, 1, 2, 6, 10, 1, 6, 10, 10, 10, 2, 10, 2, 2, 10, 1, 10, 6, 10, 10, 3, 1, 10, 1, 1, 6, 6, 6, 4, 6, 10, 2, 2, 2, 6, 2, 6, 1, 6, 10, 2, 1, 10, 1, 6, 1, 6, 1, 6, 1, 6, 6, 1, 10, 10, 2, 6, 2, 1, 6, 2, 1, 10, 10, 2, 2, 10, 1, 6, 2, 10, 6, 6, 1, 2, 10, 6, 6, 10, 2, 6, 1, 1, 2, 1, 10, 1, 6, 5, 2, 6, 1, 2, 6, 10, 5, 6, 2, 10, 6, 6, 1, 1, 10, 10, 10, 6, 1, 10, 1, 1, 2, 6, 1, 10, 1, 1, 10, 1, 6, 2, 2, 6, 10, 2, 6, 2, 6, 2, 6, 10, 10, 2, 10, 6, 2, 1, 10, 1, 1, 1, 1, 1, 1, 10, 6, 1, 6, 10, 2, 6, 6, 4, 6, 2, 10, 1, 1, 1, 10, 2, 2, 10, 2, 10, 1, 6, 6, 6, 6, 10, 10, 2, 10, 6, 1, 1, 1, 2, 0, 2, 2, 6, 2, 1, 1, 6, 1, 1, 10, 6, 6, 10, 2, 2, 2, 10, 2, 2, 1, 1, 10, 10, 2, 2, 2, 6, 10, 10, 6, 1, 2, 1, 10, 6, 10, 1, 6, 6, 10, 1, 1, 1, 1, 6, 10, 10, 1, 5, 6, 1, 6, 2, 2, 1, 2, 1, 10, 1, 6, 2, 1, 6, 1, 1, 6, 10, 2, 6, 2, 6, 2, 1, 1, 2, 2, 6, 10, 6, 1, 1, 2, 6, 1, 6, 10, 2, 6, 1, 2, 1, 2, 6, 2, 5, 6, 1, 10, 1, 1, 2, 1, 2, 2, 6, 6, 10, 10, 10, 2, 6, 10, 10, 5, 1, 6, 2, 6, 6, 1, 10, 10, 1, 6, 1, 6, 1, 6, 1, 10, 2, 2, 6, 10, 6, 1, 1, 1, 10, 6, 2, 10, 6, 2, 2, 6, 2, 1, 6, 10, 2, 2, 6, 1, 2, 1, 1, 1, 2, 1, 10, 4, 6, 1, 2, 2, 6, 2, 10, 2, 6, 10, 2, 2, 10, 1, 1, 1, 10, 10, 1, 6, 10, 10, 2, 1, 1, 6, 2, 6, 10, 1, 2, 2, 6, 40, 10, 2, 1, 1, 2, 1, 1, 2, 1, 1, 10, 1, 1, 1, 1, 1, 6, 6, 10, 2, 2, 2, 2, 2, 6, 6, 2, 1, 10, 6, 60, 9, 1, 10, 1, 1, 6, 10, 2, 2, 10, 1, 2, 1, 9, 6, 6, 6, 6, 10, 1, 6, 6, 10, 2, 2, 1, 10, 10, 1, 2, 10, 1, 2, 1, 1, 6, 1, 2, 1, 6, 6, 6, 2, 10, 10, 1, 1, 1, 10, 10, 2, 6, 10, 6, 1, 2, 10, 1, 2, 10, 10, 2, 10, 2, 10, 6, 10, 10, 10, 1, 6, 6, 2, 5, 1, 2, 1, 6, 2, 2, 10, 1, 10, 1, 10, 1, 1, 2, 6, 1, 2, 1, 2, 1, 10, 6, 10, 10, 1, 2, 2, 1, 10, 2, 10, 1, 10, 10, 6, 1, 2, 2, 1, 10, 2, 10, 1, 6, 10, 10, 0, 2, 1, 6, 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2, 6, 2, 2, 10, 6, 2, 6, 2, 1, 1, 6, 6, 10, 6, 1, 10, 6, 2, 6, 1, 6, 1, 10, 10, 10, 6, 1, 1, 10, 6, 6, 10, 2, 2, 1, 2, 6, 1, 6, 1, 2, 1, 1, 2, 2, 10, 10, 6, 10, 9, 10, 10, 6, 1, 6, 2, 10, 6, 1, 10, 2, 10, 6, 6, 6, 10, 6, 10, 2, 6, 2, 1, 10, 10, 6, 6, 6, 1, 10, 1, 6, 6, 2, 6, 10, 10, 6, 0, 1, 2, 10, 6, 10, 1, 6, 1, 1, 1, 6, 10, 1, 2, 10, 2, 1, 10, 6, 10, 6, 10, 1, 2, 2, 2, 6, 10, 6, 6, 1, 1, 2, 1, 2, 10, 2, 1, 2, 6, 2, 2, 6, 10, 10, 6, 2, 2, 10, 6, 2, 2, 1, 1, 6, 6, 2, 1, 2, 2, 2, 10, 2, 1, 6, 1, 10, 6, 1, 6, 2, 2, 2, 2, 1, 10, 1, 2, 10, 2, 1, 1, 1, 10, 6, 6, 6, 6, 1, 6, 1, 2, 1, 6, 10, 6, 2, 2, 6, 6, 2, 6, 6, 2, 10, 6, 6, 6, 6, 10, 5, 10, 4, 6, 6, 10, 1, 1, 10, 6, 6, 6, 6, 2, 10, 6, 10, 10, 2, 1, 1, 6, 5, 10, 2, 6, 2, 6, 10, 6, 10, 1, 2, 2, 6, 10, 10, 6, 10, 10, 10, 1, 2, 10, 2, 6, 10, 4, 10, 6, 6, 2, 1, 6, 10, 2, 2, 6, 1, 1, 6, 1, 10, 1, 6, 2, 6, 1, 10, 1, 6, 6, 10, 1, 6, 6, 2, 2, 6, 6, 6, 6, 2, 6, 10, 5, 6, 2, 10, 2, 2, 1, 1, 1, 2, 1, 6, 2, 6, 1, 2, 6, 2, 1, 2, 1, 10, 1, 6, 6, 10, 10, 1, 6, 2, 6, 2, 6, 1, 2, 2, 2, 10, 10, 6, 10, 10, 2, 1, 10, 10, 6, 1, 6, 2, 1, 1, 6, 1, 10, 1, 2, 1, 1, 1, 6, 1, 1, 1, 6, 2, 2, 2, 2, 6, 2, 10, 10, 2, 1, 10, 2, 1, 2, 1, 10, 6, 6, 1, 6, 9, 10, 2, 2, 2, 1, 1, 10, 2, 10, 1, 6, 2, 2, 10, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 6, 1, 2, 2, 1, 2, 2, 6, 10, 2, 6, 10, 10, 2, 2, 1, 2, 10, 2, 6, 1, 1, 1, 10, 2, 10, 1, 2, 10, 10, 1, 6, 10, 2, 6, 6, 1, 2, 1, 2, 10, 7, 10, 2, 6, 1, 0, 10, 2, 10, 1, 1, 2, 10, 6, 10, 2, 6, 2, 10, 6, 1, 1, 10, 10, 2, 1, 2, 10, 10, 2, 2, 2, 1, 10, 2, 1, 10, 2, 6, 10, 1, 10, 1, 1, 2, 2, 2, 1, 1, 6, 2, 1, 6, 2, 1, 1, 6, 10, 1, 6, 6, 2, 2, 1, 6, 0, 2, 6, 6, 6, 2, 1, 6, 2, 2, 1, 2, 2, 6, 1, 0, 6, 10, 6, 10, 2, 1, 2, 10, 1, 2, 10, 2, 1, 6, 10, 2, 1, 10, 10, 10, 1, 6, 6, 2, 6, 2, 2, 6, 10, 2, 2, 10, 1, 5, 10, 2, 1, 1, 6, 10, 2, 6, 2, 10, 2, 1, 1, 1, 2, 2, 10, 2, 1, 2, 10, 2, 2, 2, 6, 2, 6, 6, 6, 6, 10, 1, 10, 2, 1, 2, 1, 2, 2, 1, 6, 1, 1, 1, 10, 6, 10, 2, 6, 1, 10, 6, 9, 2, 6, 6, 10, 10, 6, 10, 10, 6, 1, 6, 2, 2, 1, 2, 6, 10, 1, 1, 6, 1, 6, 1, 2, 10, 6, 2, 6, 10, 2, 2, 2, 2, 1, 2, 1, 6, 0, 1, 10, 10, 1, 1, 10, 2, 10, 1, 2, 6, 6, 1, 6, 10, 10, 4, 1, 10, 10, 1, 10, 10, 10, 10, 2, 6, 6, 6, 1, 6, 2, 1, 2, 10, 1, 6, 1, 10, 2, 6, 6, 10, 1, 10, 10, 6, 10, 10, 10, 1, 10, 2, 6, 6, 6, 6, 10, 10, 2, 10, 10, 2, 10, 1, 2, 0, 6, 1, 10, 2, 10, 2, 2, 2, 6, 2, 10, 1, 2, 6, 6, 1, 6, 10, 2, 2, 6, 1, 1, 1, 6, 6, 6, 10, 6, 2, 1, 1, 5, 2, 6, 2, 10, 2, 6, 1, 1, 6, 10, 2, 6, 10, 6, 2, 2, 1, 1, 1, 10, 10, 2, 6, 10, 2, 1, 6, 6, 1, 6, 2, 6, 2, 6, 10, 10, 9, 1, 6, 1, 6, 2, 2, 1, 1, 10, 6, 10, 10, 1, 2, 6, 9, 2, 6, 1, 10, 1, 2, 1, 6, 2, 10, 10, 1, 2, 2, 1, 1, 6, 2, 2, 5, 2, 10, 2, 2, 2, 10, 2, 2, 2, 6, 6, 6, 2, 10, 1, 6, 2, 1, 6, 1, 6, 2, 6, 1, 4, 1, 1, 1, 1, 1, 10, 6, 10, 1, 6, 1, 6, 2, 1, 1, 10, 2, 6, 2, 6, 2, 6, 9, 10, 6, 2, 6, 1, 2, 10, 10, 6, 2, 10, 2, 2, 6, 10, 2, 1, 1, 2, 6, 1, 6, 10, 2, 1, 10, 1, 1, 2, 1, 2, 6, 10, 10, 6, 2, 6, 6, 2, 6, 6, 6, 10, 2, 1, 2, 1, 6, 2, 2, 2, 10, 10, 2, 2, 1, 6, 10, 6, 6, 10, 2, 2, 1, 6, 10, 2, 6, 10, 1, 10, 2, 1, 1, 10, 10, 2, 10, 2, 1, 2, 1, 1, 1, 2, 6, 1, 1, 2, 6, 2, 6, 1, 2, 2, 1, 1, 2, 10, 1, 10, 10, 6, 2, 2, 10, 2, 0, 6, 2, 2, 10, 6, 10, 0, 1, 1, 5, 10, 6, 10, 10, 6, 6, 2, 6, 0, 6, 6, 1, 1, 10, 10, 1, 1, 2, 6, 6, 2, 10, 2, 2, 2, 2, 10, 1, 6, 10, 2, 1, 10, 10, 1, 1, 1, 2, 1, 4, 1, 9, 6, 6, 1, 10, 2, 2, 10, 6, 2, 1, 10, 10, 1, 6, 2, 2, 2, 6, 10, 10, 10, 2, 10, 6, 1, 10, 10, 4, 10, 2, 10, 1, 6, 2, 10, 2, 9, 10, 10, 1, 6, 1, 2, 6, 2, 1, 6, 6, 1, 2, 6, 2, 2, 1, 6, 6, 2, 10, 2, 2, 6, 2, 10, 1, 10, 1, 2, 1, 6, 2, 1, 6, 6, 10, 10, 10, 6, 1, 6, 6, 10, 1, 6, 10, 1, 6, 6, 10, 2, 2, 1, 6, 6, 10, 6, 2, 1, 1, 1, 10, 10, 10, 2, 2, 1, 6, 1, 2, 2, 0, 2, 1, 1, 10, 10, 1, 1, 6, 4, 10, 1, 10, 1, 1, 10, 2, 2, 1, 10, 6, 10, 10, 2, 6, 10, 1, 2, 2, 2, 6, 1, 10, 2, 10, 6, 10, 2, 10, 10, 5, 2, 1, 6, 2, 1, 2, 2, 2, 2, 6, 10, 1, 1, 1, 1, 2, 6, 6, 1, 6, 4, 5, 1, 2, 1, 1, 6, 6, 10, 1, 1, 2, 1, 2, 6, 10, 6, 1, 6, 2, 2, 2, 2, 9, 2, 10, 10, 2, 10, 6, 1, 9, 6, 2, 10, 2, 10, 1, 1, 10, 6, 6, 10, 1, 6, 10, 1, 6, 2, 10, 2, 6, 2, 10, 2, 2, 1, 1, 2, 6, 6, 6, 6, 10, 2, 6, 6, 10, 6, 6, 10, 10, 10, 1, 10, 2, 6, 10, 1, 10, 10, 9, 6, 2, 6, 1, 6, 10, 6, 2, 6, 6, 6, 6, 10, 2, 1, 10, 10, 5, 6, 10, 10, 2, 1, 6, 2, 6, 6, 2, 1, 10, 1, 10, 6, 2, 10, 2, 10, 2, 6, 10, 10, 6, 6, 2, 2, 1, 10, 2, 5, 10, 2, 1, 0, 2, 9, 4, 10, 4, 1, 2, 2, 6, 1, 1, 2, 6, 1, 6, 6, 10, 2, 1, 6, 6, 2, 1, 1, 6, 2, 10, 1, 6, 1, 0, 6, 1, 10, 1, 6, 2, 10, 2, 2, 10, 6, 6, 2, 9, 1, 1, 10, 10, 1, 1, 1, 1, 1, 2, 1, 10, 1, 2, 1, 1, 1, 1, 6, 6, 10, 4, 6, 10, 2, 1, 1, 6, 1, 6, 10, 6, 1, 6, 6, 1, 1, 10, 2, 10, 2, 2, 6, 1, 10, 10, 1, 6, 6, 2, 1, 2, 10, 10, 10, 2, 2, 2, 2, 6, 1, 0, 2, 2, 2, 0, 6, 6, 1, 1, 5, 6, 1, 6, 2, 6, 2, 10, 1, 10, 10, 2, 1, 6, 10, 10, 10, 6, 1, 6, 2, 2, 1, 1, 6, 1, 1, 10, 10, 6, 6, 10, 2, 2, 10, 10, 6, 10, 6, 10, 6, 2, 2, 6, 10, 1, 5, 1, 1, 2, 6, 6, 6, 2, 1, 10, 1, 10, 1, 1, 1, 6, 0, 2, 2, 10, 10, 6, 5, 2, 10, 6, 2, 2, 2, 10, 2, 2, 10, 2, 5, 10, 1, 1, 10, 10, 2, 6, 10, 6, 10, 6, 10, 2, 1, 6, 10, 10, 2, 1, 10, 1, 4, 6, 10, 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10, 10, 6, 6, 2, 2, 2, 1, 10, 1, 6, 6, 0, 6, 6, 6, 6, 1, 10, 5, 1, 6, 6, 6, 2, 6, 2, 2, 1, 2, 6, 2, 1, 6, 1, 1, 2, 2, 1, 1, 1, 2, 2, 6, 1, 6, 1, 2, 2, 6, 2, 10, 10, 2, 6, 5, 1, 10, 1, 6, 10, 6, 6, 1, 2, 2, 1, 6, 4, 2, 6, 1, 1, 10, 1, 6, 2, 6, 10, 6, 6, 2, 6, 10, 10, 2, 10, 6, 10, 1, 2, 4, 6, 6, 10, 2, 2, 9, 1, 1, 6, 10, 2, 6, 1, 10, 1, 6, 10, 6, 2, 10, 1, 2, 1, 1, 2, 2, 10, 1, 10, 10, 2, 10, 10, 6, 2, 1, 2, 10, 1, 10, 10, 2, 2, 6, 2, 1, 5, 10, 0, 6, 2, 2, 10, 1, 1, 6, 1, 10, 6, 6, 1, 2, 6, 2, 1, 6, 1, 1, 10, 1, 2, 6, 1, 10, 6, 10, 6, 1, 6, 6, 10, 2, 6, 1, 6, 1, 1, 10, 1, 10, 10, 6, 6, 6, 1, 6, 1, 10, 2, 10, 1, 2, 1, 1, 2, 10, 6, 10, 10, 6, 6, 1, 1, 10, 2, 10, 1, 10, 2, 1, 2, 1, 2, 6, 1, 6, 1, 10, 1, 6, 6, 2, 6, 1, 4, 6, 2, 2, 10, 2, 5, 1, 1, 1, 6, 1, 6, 6, 2, 10, 10, 2, 2, 10, 6, 10, 2, 10, 0, 10, 1, 6, 1, 6, 1, 10, 2, 1, 2, 10, 10, 10, 10, 1, 2, 1, 6, 1, 10, 10, 6, 2, 50, 1, 6, 1, 1, 2, 2, 2, 2, 4, 1, 6, 2, 1, 1, 2, 1, 2, 1, 6, 10, 1, 5, 10, 10, 2, 10, 10, 1, 10, 2, 6, 10, 6, 1, 1, 0, 1, 6, 10, 6, 10, 10, 2, 4, 1, 2, 5, 4, 10, 6, 2, 2, 2, 10, 10, 10, 10, 2, 1, 1, 1, 6, 10, 1, 10, 10, 6, 10, 1, 6, 2, 2, 1, 6, 10, 2, 6, 6, 10, 6, 10, 1, 1, 6, 0, 10, 6, 6, 6, 1, 1, 6, 10, 10, 6, 10, 1, 10, 1, 2, 6, 10, 1, 6, 2, 2, 6, 6, 6, 10, 10, 2, 2, 1, 6, 6, 1, 2, 6, 6, 2, 1, 1, 10, 10, 1, 1, 6, 1, 2, 6, 10, 1, 10, 2, 1, 1, 6, 10, 2, 2, 6, 1, 2, 10, 1, 6, 2, 1, 6, 2, 6, 10, 2, 10, 10, 1, 1, 6, 2, 6, 2, 6, 10, 10, 1, 1, 6, 2, 2, 6, 6, 10, 6, 2, 6, 1, 1, 6, 2, 6, 10, 1, 10, 10, 6, 2, 6, 2, 1, 2, 10, 1, 2, 6, 1, 10, 1, 1, 10, 6, 6, 2, 1, 10, 6, 2, 1, 1, 1, 6, 2, 2, 10, 1, 1, 1, 10, 1, 1, 6, 6, 4, 6, 10, 1, 4, 1, 10, 6, 1, 2, 10, 1, 1, 6, 10, 10, 10, 6, 4, 6, 6, 4, 2, 1, 2, 2, 2, 2, 10, 2, 6, 10, 1, 1, 6, 2, 1, 1, 6, 10, 2, 10, 2, 2, 6, 2, 10, 1, 10, 6, 6, 6, 6, 6, 1, 10, 1, 10, 6, 1, 2, 10, 2, 6, 1, 1, 2, 1, 2, 10, 6, 1, 10, 10, 2, 2, 6, 2, 1, 2, 6, 2, 1, 10, 10, 1, 1, 2, 10, 2, 5, 6, 1, 6, 10, 2, 6, 1, 1, 10, 6, 0, 2, 6, 2, 10, 2, 6, 10, 2, 0, 2, 2, 2, 1, 1, 1, 2, 10, 6, 1, 2, 10, 1, 1, 1, 2, 6, 6, 10, 6, 10, 10, 1, 6, 6, 6, 10, 4, 10, 10, 6, 10, 2, 10, 6, 10, 6, 2, 1, 6, 2, 2, 9, 10, 6, 6, 1, 6, 2, 1, 6, 1, 1, 2, 6, 2, 6, 1, 10, 10, 6, 10, 1, 1, 1, 10, 10, 6, 2, 2, 2, 1, 6, 6, 1, 10, 2, 6, 6, 60, 6, 1, 6, 4, 6, 6, 2, 6, 2, 10, 1, 6, 1, 1, 0, 1, 10, 1, 6, 1, 1, 10, 6, 10, 6, 2, 1, 10, 6, 1, 10, 1, 10, 10, 1, 10, 6, 2, 10, 10, 2, 6, 10, 1, 10, 6, 10, 10, 1, 1, 6, 2, 1, 6, 1, 2, 6, 2, 2, 10, 1, 1, 1, 2, 2, 10, 2, 5, 10, 6, 2, 6, 2, 1, 2, 10, 6, 10, 1, 6, 1, 10, 10, 10, 6, 1, 1, 1, 2, 10, 6, 6, 2, 2, 1, 2, 6, 1, 6, 2, 9, 6, 1, 1, 10, 10, 1, 10, 6, 6, 2, 6, 1, 2, 2, 1, 2, 6, 1, 1, 1, 10, 1, 2, 6, 10, 1, 6, 6, 2, 6, 2, 5, 6, 1, 6, 2, 2, 6, 10, 1, 10, 2, 10, 2, 1, 2, 1, 6, 2, 6, 6, 2, 10, 6, 6, 10, 10, 1, 1, 2, 6, 6, 1, 10, 1, 10, 1, 2, 9, 10, 2, 2, 6, 2, 1, 1, 10, 6, 10, 6, 10, 2, 1, 1, 1, 1, 10, 10, 10, 1, 10, 6, 10, 10, 10, 6, 2, 10, 10, 10, 10, 6, 10, 6, 10, 2, 2, 6, 1, 6, 6, 10, 6, 10, 1, 2, 10, 1, 6, 2, 6, 5, 10, 6, 1, 6, 10, 6, 1, 6, 1, 1, 1, 1, 10, 6, 2, 2, 2, 10, 6, 6, 6, 6, 6, 10, 10, 6, 1, 1, 1, 1, 10, 10, 2, 10, 1, 2, 6, 10, 1, 1, 10, 2, 2, 6, 2, 2, 10, 4, 1, 1, 2, 6, 6, 2, 10, 1, 6, 2, 10, 1, 2, 6, 1, 1, 6, 1, 6, 1, 2, 6, 10, 6, 2, 6, 2, 1, 6, 1, 1, 1, 6, 10, 2, 5, 10, 10, 2, 6, 2, 6, 2, 6, 10, 6, 1, 10, 10, 10, 10, 1, 2, 2, 10, 2, 1, 2, 1, 10, 6, 4, 0, 2, 10, 2, 10, 10, 2, 6, 6, 1, 2, 6, 6, 2, 6, 2, 9, 6, 1, 6, 6, 6, 6, 1, 6, 2, 6, 10, 6, 9, 10, 10, 1, 1, 1, 1, 1, 1, 1, 10, 2, 6, 6, 2, 6, 1, 6, 1, 10, 10, 1, 1, 6, 6, 0, 10, 10, 6, 2, 2, 10, 2, 6, 1, 2, 2, 1, 2, 2, 6, 2, 10, 1, 1, 6, 6, 6, 6, 6, 6, 40, 6, 10, 2, 10, 6, 6, 2, 10, 6, 6, 10, 10, 10, 1, 6, 2, 10, 2, 10, 2, 1, 1, 6, 1, 2, 5, 2, 10, 1, 6, 10, 1, 1, 6, 1, 2, 10, 2, 2, 2, 10, 2, 6, 2, 1, 6, 1, 10, 10, 6, 1, 2, 1, 1, 1, 2, 10, 2, 6, 2, 1, 10, 6, 6, 1, 10, 10, 6, 10, 1, 4, 1, 10, 2, 6, 1, 10, 2, 6, 4, 10, 10, 1, 2, 1, 2, 10, 2, 9, 2, 10, 2, 6, 6, 2, 6, 6, 1, 10, 10, 10, 6, 2, 10, 2, 1, 6, 1, 10, 6, 6, 2, 6, 1, 1, 6, 6, 1, 2, 2, 10, 5, 10, 1, 10, 6, 1, 10, 2, 6, 2, 2, 6, 4, 2, 1, 10, 6, 2, 1, 1, 1, 2, 1, 10, 6, 1, 10, 1, 1, 6, 2, 1, 1, 6, 10, 10, 2, 10, 2, 6, 6, 6, 2, 1, 6, 10, 10, 9, 2, 1, 6, 1, 10, 2, 4, 10, 6, 6, 2, 10, 2, 10, 2, 6, 1, 1, 10, 1, 1, 1, 2, 1, 1, 6, 6, 2, 1, 10, 1, 1, 6, 6, 10, 1, 6, 2, 2, 0, 2, 6, 10, 2, 1, 2, 6, 10, 10, 6, 10, 2, 1, 1, 1, 10, 6, 2, 2, 10, 1, 2, 6, 10, 1, 2, 2, 2, 10, 2, 2, 10, 2, 1, 1, 6, 10, 2, 10, 10, 9, 6, 10, 4, 6, 2, 10, 2, 2, 10, 1, 2, 6, 2, 1, 2, 2, 6, 10, 1, 10, 6, 6, 2, 1, 6, 2, 1, 2, 1, 10, 1, 2, 2, 6, 1, 2, 4, 1, 6, 10, 4, 6, 6, 10, 6, 10, 2, 6, 10, 6, 6, 10, 6, 1, 6, 10, 6, 10, 10, 6, 10, 1, 2, 6, 6, 2, 2, 6, 1, 2, 10, 5, 2, 1, 6, 6, 2, 10, 6, 10, 10, 2, 10, 10, 2, 2, 1, 6, 1, 2, 2, 1, 6, 6, 1, 6, 10, 6, 6, 1, 1, 1, 10, 6, 6, 2, 6, 2, 1, 2, 2, 1, 1, 1, 10, 1, 2, 1, 10, 1, 2, 2, 10, 6, 2, 1, 6, 2, 10, 1, 6, 6, 2, 2, 2, 10, 10, 6, 10, 6, 6, 10, 6, 10, 2, 1, 1, 6, 1, 6, 2, 6, 2, 10, 10, 6, 10, 1, 6, 10, 1, 10, 6, 6, 2, 6, 2, 1, 10, 10, 9, 10, 10, 10, 6, 10, 2, 10, 1, 6, 1, 6, 6, 1, 10, 6, 10, 6, 2, 1, 2, 10, 1, 1, 10, 9, 10, 1, 2, 1, 10, 6, 10, 10, 10, 10, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 10, 1, 1, 10, 2, 1, 1, 2, 1, 10, 10, 6, 2, 0, 6, 6, 9, 1, 1, 1, 2, 6, 2, 10, 10, 1, 2, 1, 10, 1, 10, 1, 6, 1, 10, 2, 10, 6, 2, 6, 6, 6, 2, 6, 2, 6, 1, 2, 1, 1, 6, 1, 2, 6, 2, 6, 6, 10, 0, 1, 10, 2, 10, 2, 2, 1, 6, 2, 1, 10, 6, 10, 1, 4, 2, 10, 10, 6, 2, 1, 1, 10, 1, 10, 6, 6, 2, 10, 2, 2, 2, 10, 6, 1, 1, 1, 6, 10, 2, 6, 10, 10, 6, 6, 1, 0, 6, 10, 1, 10, 10, 6, 1, 6, 2, 6, 6, 1, 2, 1, 10, 1, 2, 6, 2, 5, 9, 2, 6, 2, 1, 1, 6, 2, 10, 6, 2, 1, 10, 1, 10, 10, 2, 10, 6, 6, 2, 10, 6, 10, 10, 2, 0, 6, 10, 6, 6, 1, 2, 6, 6, 9, 2, 1, 10, 2, 1, 2, 2, 6, 2, 1, 1, 2, 6, 1, 1, 2, 2, 2, 10, 10, 1, 2, 6, 2, 2, 6, 0, 2, 1, 2, 10, 6, 1, 6, 6, 10, 10, 2, 2, 1, 10, 6, 1, 2, 6, 10, 10, 2, 6, 2, 1, 1, 6, 6, 1, 6, 6, 1, 6, 6, 2, 10, 6, 6, 2, 1, 10, 1, 2, 1, 10, 5, 6, 6, 2, 10, 2, 10, 2, 6, 10, 6, 10, 2, 0, 2, 10, 6, 9, 10, 6, 1, 1, 2, 10, 10, 2, 1, 6, 2, 2, 2, 10, 6, 2, 2, 10, 2, 6, 10, 1, 1, 0, 2, 1, 2, 10, 2, 1, 1, 1, 1, 2, 6, 1, 6, 10, 2, 0, 10, 1, 2, 1, 10, 2, 2, 2, 10, 10, 2, 10, 6, 10, 1, 2, 2, 10, 10, 6, 9, 2, 2, 1, 6, 2, 6, 2, 2, 10, 10, 10, 10, 5, 6, 6, 10, 1, 1, 6, 10, 10, 0, 1, 2, 2, 1, 1, 2, 10, 6, 10, 1, 2, 6, 2, 1, 10, 6, 10, 6, 1, 2, 6, 6, 1, 6, 1, 2, 1, 1, 2, 1, 6, 6, 6, 1, 6, 1, 6, 10, 6, 1, 1, 1, 2, 6, 2, 6, 1, 10, 2, 10, 1, 1, 6, 2, 10, 6, 6, 10, 6, 6, 6, 1, 2, 6, 2, 1, 2, 10, 2, 6, 1, 6, 6, 2, 2, 6, 10, 2, 1, 2, 1, 2, 6, 2, 1, 10, 2, 1, 10, 2, 2, 2, 2, 1, 6, 2, 2, 6, 6, 6, 6, 6, 1, 10, 10, 1, 6, 10, 1, 6, 6, 60, 6, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 6, 6, 2, 10, 6, 10, 2, 2, 10, 6, 10, 10, 6, 2, 6, 6, 6, 6, 6, 6, 6, 10, 10, 2, 2, 1, 1, 6, 10, 10, 10, 10, 2, 2, 1, 6, 1, 6, 2, 1, 2, 10, 1, 2, 6, 4, 1, 6, 6, 6, 2, 4, 2, 2, 10, 6, 2, 2, 50, 2, 10, 1, 2, 2, 1, 10, 1, 1, 10, 2, 10, 10, 6, 6, 1, 2, 2, 10, 1, 10, 10, 6, 2, 1, 6, 10, 1, 1, 10, 6, 9, 1, 6, 10, 1, 10, 10, 0, 10, 1, 1, 6, 2, 6, 6, 1, 2, 10, 10, 6, 2, 2, 6, 1, 6, 10, 6, 10, 10, 0, 10, 1, 10, 10, 1, 10, 10, 2, 6, 10, 1, 6, 6, 1, 10, 1, 10, 2, 2, 10, 10, 6, 1, 6, 10, 10, 6, 10, 1, 10, 10, 2, 1, 1, 6, 2, 2, 2, 10, 6, 2, 1, 1, 10, 2, 10, 10, 10, 1, 2, 1, 10, 6, 10, 1, 10, 1, 2, 10, 6, 10, 2, 2, 2, 1, 10, 2, 6, 6, 1, 6, 1, 10, 6, 10, 1, 6, 1, 6, 1, 2, 6, 10, 2, 4, 1, 6, 10, 6, 6, 6, 10, 2, 2, 6, 10, 6, 10, 1, 1, 1, 1, 10, 1, 1, 2, 6, 2, 1, 1, 1, 10, 2, 6, 6, 1, 2, 2, 2, 1, 2, 6, 1, 6, 1, 6, 1, 2, 6, 10, 10, 6, 2, 10, 2, 2, 6, 10, 10, 1, 1, 10, 6, 10, 6, 2, 2, 6, 6, 6, 6, 10, 1, 2, 6, 1, 6, 1, 1, 5, 10, 10, 10, 10, 2, 6, 10, 6, 0, 10, 10, 1, 10, 1, 10, 6, 6, 2, 2, 2, 6, 2, 1, 1, 10, 6, 10, 6, 4, 1, 10, 2, 2, 0, 10, 10, 1, 1, 1, 6, 10, 6, 2, 6, 10, 10, 2, 1, 1, 6, 10, 2, 2, 1, 10, 10, 10, 6, 5, 2, 6, 6, 6, 1, 1, 6, 2, 2, 6, 10, 1, 1, 6, 2, 2, 2, 2, 10, 6, 1, 2, 6, 6, 6, 6, 6, 6, 2, 1, 10, 10, 10, 1, 6, 2, 2, 10, 2, 6, 10, 2, 2, 1, 2, 6, 5, 1, 10, 2, 10, 2, 1, 1, 10, 6, 2, 6, 1, 6, 1, 10, 10, 6, 1, 6, 10, 1, 10, 1, 1, 10, 10, 6, 2, 1, 2, 10, 2, 2, 6, 10, 6, 2, 0, 10, 2, 1, 6, 6, 1, 10, 10, 1, 10, 1, 1, 2, 1, 10, 10, 10, 1, 2, 6, 1, 6, 1, 2, 10, 1, 10, 2, 4, 6, 1, 6, 1, 2, 2, 6, 2, 1, 2, 10, 10, 1, 10, 1, 2, 2, 2, 2, 2, 2, 1, 6, 6, 6, 2, 6, 2, 10, 10, 6, 10, 10, 3, 10, 1, 10, 10, 1, 6, 10, 2, 6, 10, 0, 10, 6, 6, 6, 1, 2, 6, 10, 2, 1, 2, 2, 10, 9, 6, 2, 1, 10, 10, 1, 2, 1, 6, 10, 10, 6, 1, 2, 2, 1, 2, 2, 10, 6, 10, 1, 6, 6, 10, 1, 6, 6, 2, 1, 10, 2, 10, 6, 1, 2, 1, 10, 2, 1, 1, 10, 2, 10, 1, 1, 2, 1, 2, 10, 1, 1, 10, 2, 6, 2, 6, 2, 2, 2, 2, 10, 6, 10, 10, 6, 6, 6, 10, 2, 6, 2, 5, 6, 10, 2, 1, 10, 6, 2, 1, 2, 2, 6, 10, 2, 6, 2, 6, 1, 2, 2, 6, 6, 10, 6, 10, 1, 6, 6, 2, 5, 6, 2, 10, 10, 6, 6, 10, 0, 10, 1, 2, 10, 2, 6, 2, 6, 2, 1, 2, 10, 6, 6, 1, 10, 1, 1, 10, 1, 6, 2, 1, 2, 2, 10, 1, 2, 2, 9, 10, 1, 1, 10, 10, 6, 10, 6, 2, 6, 1, 2, 10, 6, 1, 6, 2, 10, 2, 1, 2, 2, 10, 10, 6, 6, 6, 2, 6, 6, 1, 6, 10, 1, 10, 10, 1, 6, 10, 2, 1, 10, 6, 6, 6, 1, 2, 4, 1, 10, 2, 6, 6, 2, 1, 6, 6, 10, 6, 6, 6, 6, 2, 1, 2, 6, 1, 1, 1, 6, 2, 10, 2, 1, 2, 10, 10, 6, 2, 10, 6, 10, 6, 2, 4, 6, 2, 2, 2, 2, 6, 6, 1, 10, 6, 10, 1, 6, 1, 6, 9, 1, 6, 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1, 2, 50, 6, 2, 6, 6, 2, 10, 6, 6, 10, 2, 2, 1, 10, 5, 1, 10, 1, 6, 6, 10, 10, 1, 10, 10, 10, 2, 6, 10, 1, 10, 2, 2, 2, 2, 2, 1, 2, 6, 1, 6, 1, 6, 6, 10, 10, 6, 1, 6, 2, 10, 2, 6, 10, 10, 10, 1, 6, 10, 10, 6, 2, 6, 9, 10, 2, 10, 10, 6, 10, 2, 6, 10, 10, 6, 6, 2, 2, 2, 1, 1, 10, 1, 10, 6, 2, 6, 10, 6, 10, 6, 1, 10, 10, 6, 10, 1, 6, 1, 1, 1, 6, 6, 6, 10, 2, 6, 2, 6, 6, 6, 1, 2, 10, 2, 2, 2, 10, 4, 1, 6, 6, 6, 1, 1, 6, 1, 6, 5, 2, 10, 1, 2, 6, 10, 2, 1, 6, 10, 10, 10, 1, 10, 1, 2, 2, 1, 10, 10, 2, 10, 6, 6, 1, 6, 1, 10, 1, 6, 10, 1, 10, 1, 2, 1, 6, 1, 6, 1, 0, 1, 1, 1, 1, 2, 10, 6, 1, 8, 10, 2, 2, 10, 6, 10, 2, 10, 1, 10, 2, 2, 1, 10, 9, 2, 1, 2, 1, 2, 1, 6, 6, 1, 10, 1, 6, 6, 6, 1, 2, 10, 1, 1, 1, 1, 1, 6, 4, 6, 6, 2, 1, 6, 2, 1, 10, 10, 10, 6, 10, 10, 2, 2, 10, 10, 10, 6, 10, 6, 10, 1, 10, 10, 10, 1, 1, 10, 6, 10, 6, 1, 2, 6, 1, 10, 1, 10, 2, 10, 1, 1, 10, 10, 1, 6, 10, 2, 2, 1, 2, 10, 1, 10, 1, 6, 6, 10, 1, 2, 2, 10, 1, 10, 10, 10, 1, 10, 10, 10, 6, 6, 0, 1, 10, 2, 10, 1, 10, 1, 10, 6, 6, 1, 2, 1, 6, 10, 1, 2, 1, 1, 1, 2, 6, 10, 6, 1, 1, 6, 1, 2, 6, 10, 10, 10, 2, 6, 6, 10, 6, 2, 2, 10, 6, 10, 1, 1, 1, 6, 2, 1, 1, 10, 2, 10, 2, 6, 1, 10, 1, 6, 10, 6, 10, 10, 2, 1, 1, 6, 2, 10, 1, 2, 10, 1, 6, 6, 1, 2, 2, 6, 1, 1, 10, 10, 10, 6, 2, 2, 1, 6, 6, 2, 6, 6, 10, 2, 6, 2, 6, 6, 9, 1, 2, 6, 10, 4, 10, 1, 1, 4, 2, 10, 6, 1, 6, 6, 6, 6, 6, 1, 1, 2, 10, 1, 2, 0, 2, 1, 1, 10, 10, 1, 2, 1, 2, 6, 6, 6, 2, 6, 10, 2, 1, 0, 10, 6, 2, 10, 6, 1, 2, 10, 2, 0, 1, 2, 1, 2, 1, 10, 1, 6, 10, 10, 10, 10, 2, 6, 5, 2, 6, 1, 2, 6, 2, 6, 2, 1, 10, 10, 6, 2, 1, 1, 2, 1, 2, 2, 6, 6, 1, 1, 2, 6, 2, 1, 2, 10, 2, 2, 1, 6, 10, 10, 1, 2, 2, 6, 2, 10, 2, 10, 10, 2, 6, 2, 10, 2, 10, 2, 6, 10, 6, 1, 6, 2, 6, 1, 9, 10, 10, 6, 2, 1, 10, 10, 1, 6, 10, 1, 2, 10, 2, 4, 1, 1, 1, 2, 10, 1, 1, 10, 6, 2, 10, 1, 6, 10, 1, 2, 1, 1, 1, 6, 2, 2, 10, 6, 6, 10, 10, 2, 10, 10, 1, 1, 1, 6, 10, 6, 10, 10, 1, 10, 2, 10, 10, 1, 2, 2, 10, 2, 2, 10, 2, 6, 5, 0, 6, 6, 10, 2, 1, 2, 1, 6, 1, 10, 10, 6, 10, 2, 1, 2, 10, 10, 10, 6, 1, 6, 10, 6, 10, 2, 6, 6, 2, 1, 2, 2, 2, 1, 2, 10, 2, 6, 2, 2, 10, 2, 6, 2, 6, 10, 6, 2, 10, 6, 5, 10, 6, 1, 1, 0, 2, 0, 6, 1, 6, 10, 2, 5, 6, 1, 6, 10, 10, 2, 10, 2, 10, 10, 10, 3, 2, 9, 2, 1, 0, 6, 2, 2, 10, 2, 2, 10, 10, 1, 6, 2, 10, 1, 10, 1, 2, 6, 2, 1, 6, 6, 10, 10, 10, 10, 1, 6, 2, 6, 6, 1, 6, 9, 9, 2, 1, 1, 0, 6, 2, 6, 10, 2, 1, 10, 1, 1, 6, 2, 6, 10, 10, 6, 10, 1, 6, 2, 10, 1, 1, 10, 10, 10, 10, 1, 2, 10, 6, 10, 6, 6, 6, 6, 10, 10, 2, 1, 1, 10, 1, 6, 1, 1, 1, 1, 10, 6, 10, 10, 10, 1, 1, 10, 2, 5, 10, 2, 1, 1, 6, 2, 6, 5, 1, 2, 6, 1, 10, 2, 6, 6, 10, 6, 2, 10, 10, 2, 6, 1, 6, 10, 6, 10, 10, 6, 1, 6, 2, 1, 1, 4, 6, 10, 6, 2, 6, 2, 1, 10, 2, 1, 2, 1, 1, 2, 10, 2, 10, 6, 10, 6, 2, 4, 10, 6, 6, 6, 10, 6, 10, 10, 6, 1, 10, 1, 10, 6, 2, 2, 6, 2, 2, 2, 6, 2, 1, 10, 6, 1, 6, 4, 10, 10, 1, 6, 6, 0, 2, 2, 2, 2, 10, 1, 6, 6, 2, 2, 1, 1, 1, 10, 10, 10, 2, 6, 10, 6, 10, 10, 2, 6, 4, 1, 2, 2, 10, 2, 2, 6, 2, 6, 1, 6, 2, 6, 6, 10, 1, 6, 1, 10, 6, 6, 6, 6, 10, 2, 2, 10, 10, 10, 1, 2, 1, 2, 1, 7, 10, 2, 6, 6, 2, 1, 10, 1, 1, 6, 1, 6, 2, 6, 6, 1, 10, 2, 1, 6, 6, 2, 10, 1, 10, 1, 10, 6, 10, 1, 1, 10, 2, 1, 10, 1, 6, 10, 1, 1, 10, 10, 1, 1, 10, 2, 2, 1, 2, 1, 6, 1, 10, 4, 6, 1, 10, 1, 6, 10, 0, 2, 2, 2, 10, 2, 2, 10, 6, 6, 1, 10, 1, 6, 2, 1, 2, 10, 10, 6, 1, 10, 2, 10, 2, 6, 6, 2, 2, 2, 6, 10, 10, 2, 1, 10, 10, 6, 2, 10, 6, 1, 1, 6, 6, 10, 1, 1, 1, 6, 2, 1, 1, 1, 6, 1, 10, 10, 6, 2, 10, 6, 10, 6, 6, 10, 6, 6, 1, 2, 1, 2, 6, 2, 2, 6, 10, 4, 1, 10, 1, 10, 10, 2, 10, 10, 10, 1, 1, 2, 1, 10, 1, 1, 1, 6, 2, 1, 2, 6, 5, 2, 6, 2, 6, 10, 1, 2, 6, 1, 10, 1, 10, 10, 1, 6, 10, 10, 1, 10, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 6, 2, 5, 6, 10, 6, 2, 0, 1, 6, 2, 1, 6, 6, 2, 2, 10, 10, 4, 6, 2, 1, 6, 1, 1, 2, 2, 6, 1, 1, 1, 1, 10, 10, 2, 1, 6, 1, 10, 10, 6, 4, 6, 7, 10, 6, 10, 10, 2, 1, 1, 6, 3, 2, 6, 1, 2, 6, 1, 2, 1, 6, 6, 6, 2, 10, 1, 6, 10, 4, 6, 10, 2, 1, 50, 10, 10, 1, 1, 4, 10, 2, 6, 2, 6, 2, 2, 1, 2, 1, 2, 4, 2, 2, 1, 10, 2, 10, 6, 6, 1, 10, 2, 10, 10, 6, 2, 2, 2, 10, 2, 1, 1, 10, 2, 6, 10, 9, 5, 6, 10, 1, 6, 10, 6, 10, 2, 10, 10, 1, 6, 1, 6, 6, 5, 2, 2, 1, 2, 1, 10, 2, 2, 1, 2, 6, 6, 10, 1, 2, 2, 6, 10, 6, 10, 2, 6, 1, 10, 10, 6, 6, 1, 6, 1, 10, 6, 2, 0, 1, 10, 9, 6, 6, 6, 1, 1, 6, 10, 6, 2, 10, 1, 2, 10, 6, 1, 6, 6, 10, 2, 1, 2, 1, 10, 10, 10, 6, 6, 1, 2, 2, 1, 1, 10, 1, 6, 2, 2, 1, 1, 1, 6, 6, 1, 2, 2, 10, 10, 1, 2, 10, 10, 1, 6, 1, 10, 2, 6, 1, 10, 6, 6, 2, 6, 4, 2, 1, 2, 6, 6, 6, 2, 6, 6, 2, 2, 1, 10, 10, 2, 6, 10, 1, 2, 1, 1, 1, 1, 2, 1, 6, 6, 10, 6, 10, 1, 10, 1, 6, 2, 4, 6, 10, 6, 6, 2, 2, 2, 6, 2, 10, 10, 2, 6, 1, 2, 1, 10, 6, 2, 6, 10, 6, 6, 10, 6, 1, 2, 10, 10, 1, 6, 1, 1, 1, 1, 6, 1, 1, 10, 1, 2, 6, 10, 10, 1, 6, 10, 4, 10, 10, 10, 1, 10, 10, 1, 2, 1, 5, 2, 2, 2, 10, 10, 2, 1, 10, 10, 6, 5, 6, 2, 2, 10, 1, 1, 2, 1, 10, 6, 10, 5, 10, 6, 2, 10, 2, 10, 6, 6, 1, 2, 2, 10, 2, 6, 6, 1, 2, 10, 6, 2, 1, 10, 6, 2, 6, 1, 10, 6, 2, 2, 6, 1, 1, 2, 10, 10, 1, 2, 6, 1, 6, 10, 6, 1, 6, 2, 4, 6, 1, 6, 6, 1, 6, 2, 6, 2, 6, 10, 6, 1, 10, 2, 10, 10, 1, 2, 10, 2, 2, 2, 6, 1, 6, 6, 2, 6, 2, 4, 10, 10, 1, 6, 10, 6, 6, 10, 6, 1, 1, 10, 1, 2, 10, 10, 1, 2, 10, 6, 10, 2, 1, 2, 6, 2, 10, 2, 1, 2, 10, 2, 2, 2, 1, 1, 1, 10, 1, 6, 2, 6, 1, 10, 1, 10, 6, 10, 1, 1, 6, 2, 6, 2, 10, 1, 0, 2, 1, 6, 1, 10, 6, 6, 10, 6, 10, 1, 6, 2, 1, 2, 10, 6, 6, 6, 2, 6, 10, 2, 6, 6, 2, 1, 6, 1, 4, 10, 10, 2, 6, 10, 2, 1, 6, 1, 10, 1, 2, 10, 6, 10, 1, 2, 6, 6, 6, 3, 6, 6, 6, 10, 6, 2, 2, 10, 10, 2, 6, 2, 6, 6, 1, 6, 6, 10, 1, 5, 2, 1, 1, 2, 6, 10, 10, 6, 1, 6, 6, 2, 6, 10, 1, 2, 1, 2, 10, 2, 1, 6, 1, 6, 1, 10, 2, 1, 1, 2, 2, 10, 10, 2, 6, 1, 10, 6, 2, 6, 6, 2, 2, 2, 6, 6, 2, 1, 2, 5, 1, 10, 10, 1, 2, 2, 2, 6, 6, 0, 6, 10, 2, 6, 10, 2, 2, 10, 10, 10, 1, 0, 1, 10, 10, 6, 2, 10, 1, 2, 6, 10, 2, 1, 6, 10, 6, 1, 10, 6, 10, 1, 2, 1, 2, 2, 6, 1, 6, 1, 2, 6, 6, 6, 6, 6, 10, 10, 1, 1, 1, 6, 10, 1, 10, 2, 10, 6, 10, 1, 6, 6, 6, 1, 2, 2, 6, 10, 2, 4, 10, 10, 1, 2, 10, 1, 2, 2, 6, 1, 6, 2, 2, 2, 1, 6, 10, 6, 2, 6, 10, 10, 6, 1, 10, 10, 6, 10, 6, 6, 60, 10, 1, 6, 10, 10, 1, 1, 6, 6, 10, 6, 6, 6, 10, 6, 1, 1, 1, 10, 6, 2, 6, 10, 2, 6, 1, 2, 2, 5, 2, 1, 2, 10, 2, 2, 10, 1, 10, 2, 2, 1, 6, 1, 1, 10, 6, 2, 1, 6, 6, 4, 6, 2, 6, 1, 2, 2, 6, 2, 2, 2, 10, 2, 1, 10, 10, 2, 6, 10, 1, 6, 2, 9, 10, 10, 1, 2, 6, 2, 6, 10, 1, 6, 10, 2, 1, 1, 1, 1, 6, 10, 6, 1, 6, 6, 1, 2, 2, 2, 1, 10, 1, 1, 2, 1, 2, 6, 6, 2, 6, 1, 6, 2, 10, 1, 6, 1, 2, 1, 6, 6, 10, 1, 1, 2, 10, 10, 10, 10, 6, 2, 6, 1, 10, 6, 6, 1, 10, 10, 10, 1, 10, 6, 6, 2, 2, 1, 10, 1, 2, 6, 2, 1, 10, 1, 6, 2, 10, 2, 4, 0, 6, 2, 10, 1, 6, 2, 2, 6, 6, 6, 10, 2, 10, 1, 1, 10, 10, 2, 2, 6, 10, 10, 1, 1, 6, 6, 6, 10, 1, 6, 1, 6, 10, 10, 6, 10, 10, 10, 10, 2, 6, 2, 2, 6, 6, 1, 2, 5, 10, 10, 1, 2, 2, 2, 1, 2, 1, 6, 2, 10, 6, 1, 10, 2, 10, 6, 1, 10, 2, 1, 2, 1, 10, 1, 1, 10, 10, 2, 6, 1, 1, 6, 2, 1, 1, 6, 1, 1, 10, 10, 10, 6, 2, 6, 2, 6, 2, 6, 6, 1, 9, 6, 6, 2, 2, 1, 1, 10, 10, 6, 6, 10, 10, 6, 2, 2, 6, 1, 1, 2, 10, 6, 1, 6, 6, 10, 10, 6, 2, 1, 10, 10, 1, 10, 10, 2, 10, 6, 10, 1, 1, 2, 1, 1, 6, 1, 1, 2, 10, 4, 2, 6, 2, 6, 1, 1, 6, 10, 10, 2, 2, 1, 10, 6, 6, 1, 10, 2, 6, 6, 10, 2, 2, 1, 1, 10, 2, 1, 6, 2, 5, 1, 1, 10, 1, 2, 10, 10, 1, 10, 10, 1, 2, 10, 10, 2, 6, 10, 10, 1, 1, 10, 1, 9, 10, 10, 1, 10, 0, 6, 9, 6, 1, 1, 2, 6, 10, 2, 6, 1, 10, 2, 10, 6, 10, 1, 2, 1, 6, 1, 6, 10, 1, 6, 10, 1, 6, 1, 10, 10, 6, 2, 2, 10, 6, 1, 2, 6, 6, 2, 6, 6, 2, 10, 2, 6, 4, 10, 2, 2, 10, 10, 10, 6, 10, 10, 2, 2, 6, 10, 6, 9, 1, 2, 10, 2, 2, 2, 6, 2, 2, 10, 10, 2, 6, 10, 2, 1, 2, 2, 6, 1, 10, 1, 1, 10, 6, 1, 6, 6, 6, 2, 6, 6, 10, 1, 2, 2, 2, 1, 6, 6, 6, 1, 1, 1, 1, 2, 1, 6, 10, 6, 10, 1, 1, 2, 10, 10, 6, 2, 6, 1, 10, 10, 6, 6, 1, 1, 2, 6, 2, 1, 6, 6, 6, 2, 9, 10, 2, 6, 10, 2, 10, 2, 6, 6, 1, 1, 6, 2, 10, 6, 1, 10, 2, 10, 4, 2, 10, 2, 1, 10, 6, 1, 6, 2, 6, 1, 6, 10, 6, 2, 10, 2, 10, 6, 2, 2, 10, 2, 6, 6, 0, 10, 10, 2, 10, 1, 10, 1, 2, 2, 1, 6, 2, 2, 10, 2, 2, 1, 6, 6, 6, 10, 6, 10, 10, 1, 6, 6, 2, 0, 2, 1, 6, 2, 1, 6, 2, 1, 10, 10, 6, 6, 6, 6, 6, 10, 2, 6, 10, 2, 10, 6, 2, 6, 6, 6, 10, 1, 1, 1, 6, 10, 2, 5, 2, 2, 10, 1, 6, 2, 10, 1, 1, 2, 10, 2, 1, 2, 1, 6, 6, 1, 1, 6, 10, 2, 10, 6, 6, 2, 1, 10, 1, 2, 1, 2, 1, 10, 2, 2, 1, 2, 1, 6, 10, 2, 2, 6, 6, 10, 2, 2, 2, 1, 2, 1, 2, 1, 1, 6, 1, 1, 6, 1, 10, 2, 2, 2, 2, 6, 1, 2, 2, 1, 2, 6, 2, 2, 10, 2, 2, 10, 1, 10, 6, 10, 1, 1, 6, 1, 1, 10, 1, 1, 1, 6, 10, 1, 6, 1, 1, 6, 10, 1, 0, 10, 6, 1, 2, 10, 2, 6, 1, 10, 6, 1, 1, 10, 6, 1, 2, 1, 1, 1, 1, 6, 6, 1, 10, 2, 1, 1, 6, 6, 6, 1, 1, 1, 2, 10, 2, 10, 1, 1, 1, 2, 6, 1, 1, 1, 2, 6, 6, 6, 6, 6, 5, 6, 6, 10, 10, 6, 2, 10, 1, 6, 10, 2, 10, 2, 2, 1, 2, 2, 2, 2, 2, 6, 1, 2, 2, 1, 2, 6, 6, 10, 10, 10, 6, 0, 2, 2, 6, 1, 10, 2, 2, 6, 6, 6, 1, 10, 10, 10, 2, 2, 1, 2, 10, 2, 1, 1, 2, 10, 1, 10, 2, 10, 1, 1, 1, 6, 1, 10, 6, 6, 10, 1, 6, 6, 2, 6, 2, 6, 6, 1, 6, 1, 10, 10, 10, 1, 6, 6, 10, 1, 6, 6, 10, 5, 10, 2, 1, 1, 6, 10, 1, 1, 6, 10, 1, 1, 2, 2, 10, 6, 1, 1, 10, 10, 0, 6, 2, 6, 2, 2, 1, 6, 6, 2, 1, 6, 10, 6, 10, 6, 2, 1, 10, 10, 6, 6, 1, 10, 1, 1, 2, 6, 2, 0, 6, 1, 10, 10, 10, 6, 2, 1, 10, 1, 6, 10, 2, 2, 2, 1, 6, 6, 2, 10, 2, 1, 10, 2, 10, 2, 1, 2, 6, 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6, 2, 10, 1, 10, 2, 6, 6, 6, 1, 6, 6, 1, 6, 10, 9, 6, 10, 4, 6, 2, 1, 2, 2, 10, 10, 6, 10, 6, 5, 2, 1, 10, 2, 9, 6, 2, 2, 6, 10, 6, 1, 1, 0, 6, 6, 10, 1, 10, 2, 2, 1, 10, 2, 2, 1, 1, 9, 1, 10, 1, 2, 2, 1, 10, 1, 6, 2, 2, 1, 2, 6, 1, 2, 1, 2, 6, 2, 1, 6, 10, 1, 2, 1, 6, 2, 10, 1, 10, 1, 6, 2, 10, 2, 1, 2, 2, 1, 1, 9, 1, 2, 1, 0, 2, 6, 2, 2, 10, 10, 1, 2, 1, 10, 1, 6, 2, 2, 10, 6, 2, 1, 1, 0, 9, 1, 10, 2, 6, 6, 1, 6, 6, 2, 6, 6, 10, 10, 2, 2, 1, 1, 10, 6, 10, 6, 1, 2, 1, 2, 6, 6, 10, 2, 2, 2, 2, 2, 10, 1, 2, 10, 10, 6, 10, 2, 6, 1, 2, 6, 6, 2, 10, 2, 1, 10, 1, 1, 10, 2, 2, 1, 6, 1, 2, 1, 2, 10, 1, 1, 1, 1, 2, 2, 2, 10, 9, 2, 2, 10, 6, 10, 1, 10, 10, 6, 5, 10, 2, 1, 9, 6, 2, 6, 10, 10, 1, 2, 1, 10, 1, 10, 2, 2, 2, 6, 10, 10, 2, 6, 5, 10, 1, 1, 2, 10, 4, 6, 10, 1, 6, 1, 6, 6, 6, 10, 10, 10, 4, 6, 10, 6, 10, 10, 2, 2, 10, 10, 10, 10, 10, 6, 1, 2, 2, 1, 10, 10, 10, 6, 1, 6, 6, 2, 10, 10, 2, 2, 1, 2, 10, 6, 10, 1, 10, 1, 10, 10, 6, 6, 2, 10, 6, 6, 1, 1, 1, 1, 2, 6, 2, 10, 2, 1, 2, 6, 10, 2, 6, 2, 6, 10, 1, 1, 2, 10, 6, 1, 1, 10, 10, 1, 2, 10, 6, 6, 1, 2, 10, 6, 10, 10, 2, 6, 6, 6, 2, 4, 10, 2, 10, 6, 1, 9, 10, 6, 2, 1, 0, 2, 6, 10, 10, 1, 1, 2, 1, 2, 2, 10, 2, 2, 2, 2, 6, 6, 2, 6, 1, 10, 10, 6, 2, 6, 1, 6, 4, 2, 5, 2, 10, 2, 6, 2, 2, 1, 10, 6, 1, 6, 10, 2, 2, 6, 1, 2, 6, 6, 6, 1, 2, 1, 10, 10, 6, 10, 6, 10, 0, 9, 8, 1, 2, 10, 2, 10, 1, 2, 1, 1, 1, 2, 10, 1, 2, 2, 6, 10, 1, 10, 6, 6, 10, 1, 6, 6, 10, 10, 1, 6, 5, 4, 6, 2, 6, 10, 6, 10, 2, 1, 10, 2, 1, 10, 6, 9, 1, 2, 1, 2, 6, 1, 6, 2, 2, 1, 10, 6, 10, 6, 1, 10, 6, 10, 10, 10, 1, 1, 10, 1, 1, 2, 2, 10, 1, 2, 6, 1, 10, 2, 1, 6, 1, 10, 6, 1, 10, 1, 2, 4, 1, 10, 2, 6, 10, 2, 10, 6, 10, 10, 1, 6, 10, 2, 10, 2, 2, 1, 1, 10, 1, 10, 1, 1, 10, 6, 6, 1, 2, 1, 2, 10, 6, 2, 10, 4, 6, 2, 6, 1, 2, 10, 1, 6, 10, 10, 10, 6, 2, 10, 1, 10, 2, 6, 6, 5, 2, 10, 10, 2, 6, 2, 2, 2, 6, 1, 10, 10, 2, 1, 6, 10, 10, 2, 2, 6, 1, 10, 1, 6, 10, 6, 10, 6, 10, 6, 1, 2, 1, 6, 1, 1, 10, 6, 1, 6, 1, 2, 1, 10, 1, 1, 1, 6, 6, 9, 10, 1, 2, 10, 6, 1, 10, 2, 1, 6, 2, 10, 10, 6, 2, 6, 2, 6, 4, 10, 6, 2, 2, 6, 6, 6, 10, 6, 6, 10, 2, 1, 6, 10, 6, 6, 6, 10, 2, 10, 1, 2, 0, 1, 10, 10, 6, 1, 5, 6, 1, 2, 6, 6, 6, 1, 10, 1, 1, 10, 6, 10, 6, 6, 1, 10, 1, 10, 10, 10, 10, 6, 1, 2, 6, 2, 10, 1, 6, 10, 1, 6, 1, 6, 6, 6, 2, 6, 6, 6, 10, 6, 2, 1, 10, 6, 6, 10, 2, 1, 6, 1, 10, 10, 1, 2, 2, 10, 1, 1, 0, 6, 1, 1, 6, 10, 6, 6, 1, 6, 1, 2, 1, 10, 1, 2, 6, 10, 6, 1, 1, 2, 6, 10, 9, 10, 10, 10, 2, 1, 2, 5, 6, 10, 10, 10, 10, 10, 10, 2, 2, 2, 2, 2, 6, 2, 6, 10, 2, 2, 6, 10, 10, 6, 10, 2, 2, 4, 2, 10, 6, 6, 6, 6, 1, 2, 1, 1, 2, 6, 2, 6, 10, 10, 10, 2, 2, 6, 6, 4, 6, 6, 2, 2, 2, 10, 1, 1, 1, 1, 1, 10, 1, 10, 1, 6, 6, 6, 10, 1, 10, 2, 1, 2, 6, 1, 1, 10, 2, 1, 10, 6, 2, 1, 1, 10, 2, 10, 6, 2, 2, 1, 6, 1, 2, 2, 6, 2, 2, 2, 2, 2, 2, 10, 2, 2, 1, 1, 2, 2, 2, 6, 6, 10, 6, 2, 10, 10, 2, 6, 2, 1, 6, 1, 1, 2, 2, 2, 1, 10, 6, 10, 10, 6, 1, 9, 6, 1, 2, 1, 2, 1, 2, 6, 6, 1, 1, 6, 2, 1, 10, 6, 10, 6, 2, 1, 1, 10, 2, 6, 1, 1, 10, 10, 10, 2, 6, 6, 6, 10, 9, 6, 10, 6, 2, 1, 2, 1, 2, 6, 10, 10, 2, 10, 5, 6, 2, 2, 1, 6, 1, 6, 6, 6, 6, 1, 10, 10, 2, 2, 2, 10, 10, 6, 6, 1, 2, 1, 6, 6, 1, 10, 10, 2, 6, 1, 6, 1, 2, 1, 2, 2, 1, 2, 1, 10, 6, 10, 6, 10, 6, 1, 10, 10, 10, 2, 1, 10, 2, 2, 6, 2, 6, 6, 6, 10, 2, 6, 10, 10, 6, 10, 10, 1, 2, 10, 2, 10, 1, 1, 2, 1, 10, 1, 2, 6, 2, 10, 10, 6, 10, 6, 10, 2, 10, 2, 6, 1, 1, 1, 6, 6, 6, 1, 2, 6, 6, 10, 6, 6, 2, 1, 6, 10, 2, 6, 2, 10, 6, 1, 6, 6, 10, 10, 1, 6, 6, 1, 6, 10, 1, 10, 6, 1, 6, 6, 2, 6, 2, 2, 1, 10, 2, 2, 1, 6, 10, 10, 1, 2, 6, 2, 1, 10, 2, 6, 10, 1, 10, 6, 10, 1, 2, 2, 6, 1, 6, 6, 6, 1, 2, 1, 10, 6, 2, 10, 1, 6, 6, 2, 2, 2, 10, 1, 10, 10, 2, 6, 9, 1, 1, 6, 2, 1, 6, 0, 2, 5, 10, 2, 2, 10, 2, 6, 10, 2, 1, 10, 10, 6, 1, 6, 1, 6, 10, 1, 2, 4, 2, 10, 10, 1, 10, 6, 1, 1, 1, 1, 10, 1, 2, 1, 1, 10, 2, 1, 6, 6, 1, 10, 2, 6, 10, 1, 2, 2, 2, 1, 6, 10, 1, 6, 1, 6, 6, 6, 2, 2, 1, 1, 1, 1, 10, 10, 6, 2, 6, 2, 2, 10, 10, 10, 1, 6, 1, 6, 2, 1, 1, 2, 1, 10, 6, 1, 2, 2, 6, 6, 10, 1, 10, 10, 6, 2, 2, 10, 10, 10, 6, 6, 6, 6, 6, 10, 1, 10, 6, 1, 10, 6, 1, 6, 2, 2, 10, 2, 2, 6, 2, 10, 10, 6, 1, 6, 6, 1, 2, 1, 10, 10, 6, 2, 1, 1, 1, 10, 10, 6, 2, 6, 10, 2, 10, 6, 1, 10, 10, 2, 2, 2, 4, 10, 2, 6, 10, 1, 10, 10, 2, 6, 6, 1, 6, 1, 6, 6, 6, 4, 1, 2, 10, 10, 2, 4, 2, 10, 9, 1, 6, 1, 2, 10, 2, 2, 6, 10, 10, 10, 10, 2, 10, 6, 6, 2, 10, 1, 6, 6, 2, 10, 5, 6, 1, 2, 6, 2, 1, 2, 2, 6, 10, 6, 10, 10, 1, 2, 10, 1, 6, 6, 9, 1, 1, 6, 1, 6, 6, 2, 6, 10, 6, 10, 4, 1, 1, 10, 1, 10, 6, 6, 10, 2, 1, 1, 6, 6, 10, 10, 6, 10, 10, 1, 10, 1, 1, 1, 10, 10, 1, 2, 1, 6, 1, 1, 6, 6, 1, 2, 10, 1, 10, 10, 10, 10, 10, 6, 6, 1, 6, 2, 6, 6, 2, 1, 2, 2, 1, 1, 6, 2, 6, 2, 6, 2, 6, 6, 6, 1, 6, 10, 6, 2, 1, 1, 6, 10, 2, 1, 2, 2, 6, 6, 10, 1, 10, 10, 1, 10, 10, 9, 6, 10, 10, 6, 2, 10, 6, 1, 6, 10, 2, 10, 1, 1, 10, 6, 6, 10, 2, 2, 5, 10, 10, 1, 2, 1, 2, 2, 10, 10, 10, 1, 1, 2, 2, 1, 2, 1, 10, 6, 10, 1, 6, 10, 2, 1, 2, 10, 10, 6, 1, 2, 2, 6, 10, 1, 6, 1, 6, 2, 2, 1, 1, 2, 9, 6, 10, 1, 1, 2, 6, 1, 6, 10, 6, 6, 1, 1, 6, 1, 1, 1, 10, 6, 9, 10, 2, 2, 1, 1, 10, 10, 1, 1, 6, 1, 6, 1, 10, 2, 2, 1, 2, 1, 1, 10, 6, 2, 9, 6, 6, 10, 10, 10, 10, 6, 1, 2, 1, 10, 6, 1, 2, 1, 2, 10, 6, 2, 10, 6, 6, 10, 2, 10, 6, 1, 2, 1, 2, 1, 2, 6, 2, 10, 1, 9, 10, 2, 10, 1, 10, 1, 1, 2, 10, 6, 6, 6, 10, 6, 1, 6, 10, 2, 0, 5, 2, 6, 10, 1, 2, 6, 2, 6, 2, 1, 10, 10, 4, 1, 0, 2, 10, 1, 10, 2, 6, 1, 4, 1, 10, 10, 2, 2, 10, 6, 1, 1, 6, 2, 1, 6, 10, 2, 6, 6, 6, 1, 1, 10, 1, 1, 10, 10, 2, 2, 2, 6, 6, 10, 6, 1, 10, 10, 10, 10, 10, 5, 1, 10, 10, 2, 10, 2, 6, 10, 1, 6, 6, 6, 2, 1, 10, 1, 2, 2, 10, 6, 9, 1, 1, 1, 2, 2, 1, 10, 6, 6, 2, 1, 1, 1, 2, 10, 2, 2, 1, 1, 6, 10, 6, 10, 10, 6, 1, 10, 6, 10, 10, 2, 10, 10, 6, 2, 10, 2, 10, 10, 10, 10, 6, 1, 1, 1, 2, 6, 1, 1, 1, 2, 2, 2, 2, 10, 10, 10, 10, 2, 6, 6, 1, 1, 1, 6, 1, 1, 10, 2, 10, 1, 1, 1, 10, 2, 10, 10, 2, 2, 2, 1, 1, 6, 10, 10, 6, 6, 6, 4, 2, 2, 10, 10, 10, 10, 1, 10, 6, 6, 2, 6, 6, 6, 5, 2, 6, 2, 10, 1, 6, 6, 6, 10, 2, 2, 1, 6, 6, 6, 1, 10, 2, 2, 10, 2, 10, 10, 6, 6, 10, 2, 2, 6, 10, 1, 10, 1, 10, 6, 1, 6, 2, 2, 6, 6, 1, 2, 6, 1, 1, 2, 6, 9, 10, 4, 10, 6, 2, 6, 1, 10, 2, 10, 6, 10, 10, 6, 1, 10, 10, 10, 1, 6, 10, 1, 5, 1, 6, 10, 6, 10, 6, 10, 1, 2, 1, 10, 2, 6, 6, 2, 4, 10, 1, 6, 10, 2, 2, 10, 10, 6, 2, 10, 1, 1, 6, 1, 10, 10, 1, 10, 1, 1, 6, 2, 5, 1, 10, 10, 1, 10, 10, 0, 1, 10, 2, 2, 6, 2, 10, 10, 1, 2, 10, 6, 6, 10, 1, 2, 6, 6, 6, 6, 6, 10, 6, 2, 2, 4, 10, 1, 10, 2, 2, 2, 6, 10, 6, 1, 2, 1, 1, 2, 6, 10, 2, 1, 2, 2, 10, 10, 1, 2, 2, 6, 2, 1, 6, 1, 2, 1, 1, 10, 6, 0, 6, 2, 6, 6, 1, 5, 1, 6, 2, 6, 1, 10, 6, 1, 1, 1, 2, 10, 2, 2, 6, 10, 2, 1, 1, 1, 2, 10, 6, 1, 1, 1, 1, 1, 1, 6, 10, 1, 1, 10, 10, 10, 6, 1, 10, 1, 2, 10, 6, 2, 2, 2, 10, 2, 1, 6, 2, 9, 1, 1, 6, 1, 1, 2, 6, 6, 10, 1, 1, 10, 10, 10, 10, 10, 10, 2, 9, 10, 2, 10, 6, 2, 6, 2, 2, 1, 1, 6, 6, 6, 1, 2, 10, 1, 10, 2, 2, 1, 10, 10, 50, 2, 6, 2, 9, 6, 10, 10, 6, 10, 10, 10, 10, 1, 6, 1, 1, 10, 6, 2, 10, 2, 1, 10, 2, 2, 2, 2, 2, 1, 2, 10, 10, 10, 1, 6, 2, 6, 0, 10, 2, 6, 1, 2, 1, 10, 4, 1, 2, 10, 10, 2, 10, 2, 2, 2, 9, 1, 10, 10, 10, 2, 2, 2, 10, 2, 10, 10, 5, 1, 10, 6, 10, 1, 6, 1, 1, 6, 1, 6, 5, 1, 1, 1, 2, 10, 1, 1, 2, 10, 6, 1, 1, 10, 10, 10, 1, 6, 10, 6, 10, 2, 10, 10, 1, 10, 1, 2, 6, 1, 6, 1, 2, 10, 50, 6, 6, 2, 2, 1, 2, 10, 10, 1, 1, 2, 10, 6, 1, 1, 1, 6, 6, 10, 1, 1, 2, 6, 2, 2, 1, 10, 2, 10, 2, 1, 6, 10, 10, 2, 6, 1, 2, 2, 10, 2, 4, 2, 1, 2, 6, 1, 2, 6, 6, 6, 10, 10, 1, 1, 2, 6, 2, 1, 2, 6, 1, 6, 10, 1, 10, 2, 6, 2, 1, 10, 2, 2, 2, 1, 10, 1, 6, 10, 1, 6, 1, 1, 10, 1, 2, 10, 10, 2, 1, 1, 6, 2, 6, 1, 1, 2, 2, 1, 6, 10, 2, 6, 2, 10, 10, 2, 4, 0, 6, 10, 1, 6, 10, 2, 2, 1, 1, 6, 2, 6, 1, 6, 2, 6, 10, 1, 6, 1, 2, 2, 1, 6, 6, 10, 2, 10, 2, 10, 2, 2, 1, 6, 5, 10, 1, 2, 1, 6, 2, 6, 6, 1, 2, 2, 2, 2, 1, 10, 2, 6, 6, 1, 1, 6, 6, 10, 2, 9, 6, 10, 10, 6, 1, 10, 1, 6, 2, 10, 2, 6, 6, 10, 6, 6, 1, 10, 1, 10, 6, 10, 1, 1, 6, 2, 0, 6, 1, 10, 6, 2, 2, 2, 10, 10, 6, 6, 9, 10, 2, 2, 10, 5, 6, 1, 10, 1, 1, 2, 10, 10, 1, 2, 6, 6, 2, 2, 10, 6, 2, 10, 0, 10, 6, 6, 10, 1, 1, 2, 2, 1, 2, 6, 6, 1, 5, 2, 2, 2, 5, 10, 10, 1, 1, 6, 2, 10, 2, 6, 6, 2, 10, 1, 6, 1, 6, 10, 1, 10, 1, 6, 2, 2, 6, 6, 2, 2, 10, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 6, 2, 10, 6, 10, 1, 6, 1, 6, 1, 6, 6, 1, 6, 6, 9, 6, 10, 6, 10, 2, 10, 10, 6, 10, 2, 10, 1, 10, 6, 2, 6, 6, 1, 6, 6, 1, 2, 2, 5, 2, 6, 10, 1, 6, 1, 6, 6, 10, 1, 10, 1, 1, 2, 1, 10, 2, 6, 1, 6, 2, 1, 6, 1, 10, 10, 2, 5, 10, 10, 6, 1, 1, 2, 10, 1, 6, 6, 2, 1, 6, 6, 2, 10, 10, 1, 2, 6, 1, 10, 2, 2, 2, 2, 2, 2, 6, 6, 6, 1, 1, 10, 6, 6, 2, 6, 6, 6, 1, 1, 6, 10, 2, 10, 1, 10, 6, 1, 6, 6, 1, 5, 1, 1, 2, 1, 1, 2, 6, 2, 10, 10, 2, 6, 2, 1, 6, 6, 1, 1, 10, 2, 10, 5, 10, 10, 10, 2, 6, 6, 1, 2, 2, 10, 10, 2, 10, 10, 10, 10, 1, 6, 1, 6, 1, 10, 2, 6, 6, 6, 1, 1, 2, 9, 6, 1, 9, 6, 2, 10, 6, 10, 6, 10, 10, 2, 10, 6, 2, 10, 1, 2, 1, 2, 1, 6, 10, 10, 2, 2, 6, 6, 2, 6, 6, 2, 6, 2, 6, 1, 10, 1, 1, 1, 1, 6, 10, 10, 6, 2, 6, 1, 9, 6, 1, 6, 6, 6, 1, 6, 10, 10, 1, 1, 2, 2, 1, 6, 1, 2, 2, 1, 2, 1, 1, 6, 6, 2, 2, 2, 1, 10, 2, 10, 2, 6, 2, 2, 6, 6, 10, 2, 10, 10, 6, 1, 6, 10, 10, 10, 10, 2, 2, 6, 6, 10, 1, 6, 10, 2, 2, 1, 6, 2, 2, 6, 6, 2, 10, 6, 1, 6, 2, 2, 10, 10, 2, 10, 1, 6, 2, 6, 10, 10, 1, 10, 6, 6, 10, 10, 2, 1, 6, 10, 2, 2, 6, 10, 1, 10, 6, 1, 10, 1, 10, 10, 6, 2, 2, 10, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 6, 2, 6, 10, 6, 1, 2, 6, 2, 2, 1, 10, 2, 1, 1, 10, 6, 2, 10, 6, 1, 10, 10, 1, 6, 2, 10, 10, 6, 1, 1, 10, 2, 1, 6, 1, 10, 2, 10, 2, 6, 1, 6, 10, 2, 6, 2, 10, 10, 10, 10, 2, 10, 1, 10, 2, 6, 6, 2, 10, 2, 1, 2, 10, 6, 2, 10, 6, 2, 2, 2, 2, 6, 10, 2, 6, 10, 2, 2, 10, 2, 6, 2, 1, 10, 2, 2, 5, 10, 2, 2, 10, 6, 2, 6, 10, 6, 10, 1, 1, 10, 10, 10, 2, 1, 1, 6, 10, 2, 2, 10, 6, 2, 2, 6, 6, 10, 10, 10, 6, 6, 6, 1, 2, 2, 10, 10, 10, 2, 10, 6, 1, 1, 6, 1, 2, 6, 2, 6, 6, 0, 10, 2, 1, 10, 6, 6, 1, 6, 2, 10, 10, 1, 2, 10, 6, 2, 6, 2, 10, 6, 2, 2, 1, 1, 10, 2, 6, 1, 2, 6, 10, 1, 10, 2, 10, 1, 6, 1, 2, 2, 6, 2, 2, 10, 1, 2, 2, 10, 2, 1, 5, 1, 10, 2, 2, 1, 10, 2, 1, 2, 1, 10, 10, 2, 6, 2, 6, 2, 10, 2, 10, 6, 6, 1, 1, 6, 6, 10, 10, 1, 10, 6, 10, 10, 6, 1, 6, 5, 2, 2, 10, 40, 1, 6, 5, 1, 2, 2, 1, 1, 6, 6, 6, 0, 1, 2, 2, 1, 2, 10, 6, 1, 4, 6, 2, 6, 10, 10, 6, 2, 1, 10, 1, 1, 10, 10, 6, 10, 6, 6, 1, 6, 5, 2, 2, 6, 6, 2, 1, 10, 10, 1, 6, 10, 6, 2, 2, 2, 10, 10, 2, 6, 6, 6, 1, 1, 6, 10, 6, 2, 2, 6, 10, 1, 10, 1, 1, 1, 1, 10, 6, 1, 1, 6, 6, 6, 1, 2, 10, 2, 6, 6, 2, 10, 2, 6, 6, 6, 10, 6, 10, 6, 6, 1, 10, 10, 10, 10, 6, 1, 10, 0, 0, 6, 10, 1, 1, 6, 1, 6, 9, 1, 6, 1, 10, 1, 2, 10, 6, 2, 10, 1, 1, 2, 6, 6, 6, 6, 4, 6, 2, 1, 10, 6, 1, 0, 1, 2, 4, 10, 6, 2, 10, 2, 1, 1, 2, 0, 6, 6, 2, 2, 6, 1, 10, 1, 1, 1, 1, 10, 6, 10, 10, 6, 10, 10, 6, 10, 1, 10, 2, 6, 1, 10, 2, 1, 6, 1, 2, 10, 1, 6, 10, 6, 1, 6, 10, 6, 2, 6, 1, 1, 6, 10, 6, 6, 2, 2, 4, 1, 2, 2, 2, 6, 2, 10, 6, 2, 1, 10, 10, 10, 6, 1, 6, 10, 6, 2, 6, 1, 1, 10, 10, 6, 10, 6, 1, 1, 6, 10, 6, 6, 4, 10, 1, 2, 1, 1, 9, 6, 2, 1, 1, 6, 10, 10, 10, 1, 6, 9, 10, 2, 6, 6, 2, 2, 10, 6, 10, 6, 2, 0, 2, 1, 1, 10, 2, 6, 1, 2, 10, 10, 10, 6, 1, 10, 2, 1, 2, 6, 6, 6, 1, 6, 10, 1, 6, 1, 6, 10, 2, 2, 10, 1, 6, 2, 10, 6, 2, 2, 1, 1, 10, 1, 2, 6, 2, 1, 10, 10, 10, 1, 6, 6, 6, 10, 6, 10, 10, 1, 2, 6, 2, 2, 1, 2, 2, 10, 1, 10, 1, 6, 6, 6, 2, 0, 10, 2, 10, 1, 6, 1, 2, 9, 0, 10, 2, 2, 4, 2, 6, 2, 1, 6, 1, 2, 1, 1, 6, 1, 6, 2, 1, 6, 6, 6, 6, 10, 10, 1, 10, 2, 10, 2, 1, 2, 2, 10, 6, 2, 10, 2, 1, 6, 10, 10, 2, 1, 10, 2, 2, 2, 6, 10, 10, 2, 6, 10, 1, 6, 10, 10, 10, 5, 2, 2, 10, 2, 2, 1, 2, 10, 10, 6, 6, 1, 2, 1, 6, 1, 6, 1, 9, 1, 6, 10, 2, 10, 2, 10, 9, 10, 6, 10, 10, 10, 1, 2, 5, 6, 6, 10, 10, 2, 1, 4, 1, 2, 10, 2, 1, 1, 1, 6, 10, 2, 6, 1, 6, 6, 2, 10, 2, 10, 1, 6, 1, 2, 1, 6, 6, 6, 6, 6, 10, 10, 6, 6, 1, 1, 6, 1, 10, 1, 6, 10, 0, 10, 10, 10, 2, 1, 10, 1, 6, 1, 1, 6, 1, 2, 1, 2, 9, 1, 4, 1, 6, 10, 2, 10, 10, 1, 1, 1, 6, 6, 6, 10, 6, 2, 10, 2, 6, 2, 1, 6, 2, 10, 2, 10, 10, 6, 2, 1, 10, 10, 1, 1, 10, 6, 6, 1, 10, 2, 10, 1, 6, 10, 6, 1, 2, 1, 2, 1, 2, 1, 5, 1, 6, 9, 10, 1, 2, 6, 2, 2, 10, 6, 1, 2, 10, 10, 6, 1, 2, 1, 6, 10, 6, 6, 9, 2, 6, 6, 10, 2, 6, 6, 2, 1, 6, 1, 6, 2, 10, 1, 2, 1, 6, 6, 2, 1, 6, 6, 6, 10, 10, 6, 2, 1, 2, 2, 2, 10, 6, 6, 10, 10, 2, 10, 6, 6, 1, 6, 1, 6, 10, 6, 1, 1, 1, 10, 6, 2, 10, 10, 10, 10, 1, 2, 1, 2, 10, 2, 2, 2, 10, 6, 4, 6, 1, 10, 1, 10, 10, 10, 1, 2, 10, 2, 2, 1, 6, 10, 10, 10, 2, 1, 6, 1, 2, 6, 1, 2, 1, 10, 6, 1, 1, 2, 1, 1, 10, 6, 6, 10, 6, 6, 10, 2, 10, 1, 2, 6, 2, 6, 1, 10, 2, 10, 6, 9, 0, 6, 1, 10, 1, 9, 10, 6, 6, 10, 2, 6, 2, 1, 2, 10, 2, 10, 10, 1, 1, 1, 1, 2, 6, 6, 6, 6, 10, 10, 10, 10, 10, 2, 10, 6, 10, 10, 1, 6, 10, 6, 2, 6, 6, 10, 10, 10, 2, 1, 1, 10, 1, 2, 10, 6, 1, 1, 1, 10, 6, 1, 1, 6, 2, 10, 2, 2, 2, 2, 1, 6, 6, 1, 1, 6, 1, 1, 10, 10, 2, 10, 10, 6, 2, 6, 1, 6, 2, 1, 1, 1, 1, 1, 2, 6, 10, 2, 2, 2, 2, 0, 10, 6, 10, 2, 1, 1, 2, 1, 1, 2, 6, 10, 0, 2, 6, 1, 6, 2, 10, 10, 10, 2, 2, 6, 2, 10, 6, 6, 2, 10, 2, 1, 1, 10, 1, 1, 1, 1, 1, 6, 10, 1, 6, 10, 10, 6, 6, 2, 1, 10, 6, 1, 10, 10, 6, 2, 6, 6, 2, 10, 6, 2, 1, 1, 10, 1, 10, 2, 1, 2, 6, 6, 10, 1, 2, 10, 10, 1, 10, 6, 6, 2, 6, 1, 10, 2, 2, 10, 6, 6, 6, 6, 10, 1, 10, 6, 6, 2, 2, 2, 6, 2, 5, 10, 2, 6, 2, 2, 1, 2, 10, 6, 2, 1, 1, 1, 2, 6, 2, 1, 6, 6, 1, 2, 6, 6, 2, 1, 2, 1, 2, 6, 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2, 1, 10, 2, 6, 2, 2, 2, 1, 2, 6, 10, 1, 10, 10, 10, 2, 6, 1, 10, 10, 6, 1, 10, 6, 6, 1, 5, 6, 1, 1, 10, 6, 10, 1, 2, 10, 10, 10, 1, 1, 1, 1, 2, 5, 1, 2, 2, 2, 10, 1, 6, 6, 10, 2, 6, 1, 1, 2, 1, 6, 6, 6, 10, 2, 2, 1, 1, 1, 2, 10, 2, 6, 10, 10, 10, 10, 10, 6, 6, 1, 4, 10, 2, 1, 6, 6, 1, 2, 6, 10, 1, 6, 1, 1, 10, 10, 9, 1, 1, 2, 1, 2, 2, 2, 4, 6, 2, 9, 10, 2, 6, 2, 10, 10, 6, 6, 6, 6, 1, 2, 6, 1, 10, 6, 10, 10, 2, 2, 1, 2, 2, 6, 6, 10, 10, 6, 1, 1, 2, 10, 5, 10, 10, 10, 1, 1, 1, 10, 1, 10, 6, 6, 6, 10, 10, 2, 6, 2, 2, 2, 1, 6, 6, 6, 1, 1, 6, 6, 10, 2, 6, 6, 1, 10, 6, 10, 2, 6, 10, 2, 10, 10, 2, 6, 2, 6, 2, 2, 2, 6, 1, 2, 6, 2, 1, 2, 2, 2, 10, 2, 6, 6, 1, 2, 10, 6, 10, 10, 6, 1, 2, 10, 2, 1, 6, 10, 2, 1, 2, 4, 1, 10, 10, 1, 10, 1, 6, 2, 6, 10, 6, 1, 1, 0, 6, 1, 2, 2, 6, 1, 2, 10, 2, 6, 10, 2, 10, 1, 6, 10, 10, 10, 10, 6, 6, 2, 1, 6, 2, 2, 6, 10, 2, 1, 10, 2, 10, 1, 1, 10, 10, 1, 10, 6, 6, 1, 1, 6, 1, 6, 5, 10, 6, 1, 10, 1, 10, 1, 1, 2, 2, 10, 1, 2, 1, 1, 2, 1, 6, 10, 1, 6, 6, 1, 10, 2, 6, 10, 10, 1, 4, 2, 1, 1, 1, 6, 6, 6, 6, 1, 6, 10, 2, 1, 1, 6, 2, 10, 2, 1, 2, 6, 2, 10, 10, 10, 2, 2, 6, 10, 1, 10, 1, 6, 1, 6, 1, 10, 6, 6, 6, 1, 2, 1, 1, 6, 10, 1, 2, 10, 2, 6, 1, 1, 10, 6, 1, 6, 10, 10, 6, 6, 1, 6, 10, 6, 10, 10, 6, 10, 1, 1, 2, 1, 2, 10, 6, 1, 6, 1, 0, 6, 10, 2, 6, 10, 2, 10, 2, 6, 2, 1, 6, 2, 6, 10, 6, 2, 2, 10, 10, 10, 2, 4, 6, 1, 9, 2, 6, 2, 2, 6, 1, 1, 5, 2, 2, 2, 6, 2, 2, 1, 6, 10, 6, 10, 6, 1, 6, 1, 1, 2, 2, 6, 1, 10, 2, 1, 6, 10, 10, 2, 2, 1, 10, 6, 2, 1, 10, 1, 2, 6, 1, 2, 10, 10, 1, 1, 0, 10, 1, 1, 2, 2, 1, 10, 10, 6, 1, 2, 10, 2, 1, 2, 1, 1, 1, 4, 2, 10, 6, 10, 10, 1, 6, 2, 4, 5, 1, 6, 2, 10, 2, 6, 10, 6, 1, 6, 6, 2, 10, 10, 1, 2, 1, 1, 6, 10, 2, 10, 6, 6, 2, 2, 6, 2, 1, 1, 10, 10, 6, 1, 1, 1, 4, 6, 10, 2, 10, 1, 6, 2, 6, 2, 6, 6, 2, 2, 1, 6, 6, 1, 2, 4, 6, 6, 10, 6, 1, 10, 10, 2, 6, 6, 10, 2, 10, 1, 2, 2, 2, 10, 1, 2, 2, 6, 10, 2, 1, 2, 2, 1, 10, 6, 2, 10, 1, 2, 1, 6, 2, 6, 6, 6, 2, 10, 2, 10, 6, 2, 6, 1, 1, 2, 2, 10, 2, 10, 6, 6, 1, 5, 1, 10, 10, 1, 10, 10, 10, 10, 6, 10, 6, 1, 10, 2, 6, 10, 6, 6, 6, 2, 10, 10, 10, 2, 10, 1, 2, 10, 1, 1, 2, 1, 10, 10, 1, 6, 10, 6, 2, 1, 2, 6, 6, 10, 5, 2, 10, 10, 2, 2, 1, 1, 6, 6, 2, 10, 10, 2, 2, 2, 10, 2, 6, 6, 10, 6, 9, 2, 1, 2, 6, 10, 2, 1, 2, 10, 6, 6, 6, 1, 0, 1, 2, 10, 10, 1, 10, 10, 1, 10, 10, 2, 2, 10, 1, 10, 2, 6, 10, 1, 1, 1, 1, 6, 1, 2, 4, 2, 10, 1, 1, 6, 2, 1, 2, 10, 6, 1, 2, 1, 10, 10, 10, 10, 2, 2, 2, 1, 10, 2, 2, 2, 5, 10, 2, 1, 6, 1, 6, 4, 2, 10, 6, 2, 1, 6, 10, 10, 2, 2, 10, 10, 6, 0, 6, 6, 10, 6, 10, 2, 6, 2, 2, 2, 10, 6, 6, 1, 10, 10, 6, 1, 10, 2, 0, 1, 6, 6, 1, 6, 2, 2, 2, 10, 10, 6, 2, 6, 1, 10, 10, 10, 1, 1, 1, 6, 6, 6, 10, 2, 10, 1, 1, 10, 1, 6, 10, 2, 2, 1, 2, 1, 2, 1, 2, 2, 10, 2, 10, 6, 2, 1, 10, 1, 10, 10, 6, 1, 2, 10, 2, 2, 1, 10, 1, 10, 1, 1, 10, 6, 6, 1, 2, 6, 10, 4, 10, 6, 6, 10, 5, 2, 10, 2, 1, 6, 6, 10, 2, 2, 6, 10, 10, 6, 1, 2, 1, 6, 1, 2, 6, 10, 2, 1, 2, 2, 1, 6, 4, 6, 2, 10, 1, 2, 6, 2, 10, 1, 2, 2, 6, 2, 1, 2, 6, 1, 6, 6, 6, 2, 6, 10, 6, 2, 1, 6, 2, 1, 6, 10, 1, 10, 10, 10, 1, 1, 1, 10, 2, 6, 2, 1, 10, 2, 6, 6, 1, 6, 10, 6, 2, 10, 1, 6, 1, 2, 2, 6, 1, 6, 2, 6, 1, 6, 10, 1, 2, 10, 1, 1, 1, 1, 6, 1, 2, 10, 1, 1, 10, 0, 2, 10, 2, 2, 9, 2, 1, 6, 10, 10, 1, 2, 10, 6, 10, 10, 2, 6, 6, 1, 1, 10, 6, 2, 1, 6, 10, 6, 10, 6, 0, 2, 10, 10, 6, 6, 2, 2, 1, 6, 1, 2, 10, 6, 6, 10, 5, 10, 10, 10, 1, 1, 2, 1, 2, 10, 10, 10, 1, 2, 10, 10, 1, 1, 10, 10, 2, 10, 0, 2, 2, 6, 6, 10, 6, 2, 1, 10, 6, 2, 1, 10, 2, 6, 2, 6, 2, 9, 2, 1, 1, 6, 6, 10, 6, 1, 6, 10, 10, 10, 6, 4, 1, 10, 2, 5, 2, 6, 1, 1, 10, 6, 6, 10, 2, 1, 1, 1, 2, 6, 6, 10, 10, 2, 6, 1, 10, 1, 1, 2, 6, 5, 10, 10, 1, 2, 1, 1, 1, 6, 10, 1, 10, 1, 10, 2, 2, 1, 1, 6, 9, 2, 2, 10, 10, 10, 2, 2, 2, 10, 2, 1, 1, 6, 6, 6, 6, 2, 6, 6, 2, 2, 6, 6, 10, 1, 6, 2, 6, 10, 1, 1, 10, 10, 10, 10, 6, 6, 10, 1, 2, 1, 6, 6, 2, 2, 2, 6, 2, 2, 10, 1, 6, 4, 6, 2, 2, 2, 6, 2, 2, 1, 6, 10, 1, 2, 2, 2, 10, 0, 1, 2, 2, 1, 1, 2, 10, 1, 2, 6, 10, 2, 6, 1, 2, 10, 2, 2, 1, 10, 2, 1, 1, 10, 10, 1, 1, 6, 10, 1, 10, 2, 9, 10, 1, 2, 2, 6, 10, 6, 6, 6, 1, 2, 6, 1, 9, 10, 6, 2, 10, 2, 10, 2, 6, 1, 6, 6, 6, 1, 1, 6, 6, 2, 6, 10, 10, 10, 10, 1, 2, 2, 1, 6, 10, 6, 1, 2, 2, 2, 6, 1, 2, 6, 6, 10, 1, 1, 1, 6, 10, 10, 6, 6, 6, 2, 2, 6, 2, 5, 6, 2, 2, 6, 2, 6, 6, 1, 2, 1, 2, 0, 10, 2, 10, 6, 10, 10, 1, 6, 1, 6, 10, 10, 1, 1, 0, 2, 2, 2, 10, 6, 2, 1, 7, 6, 10, 10, 1, 10, 1, 1, 10, 10, 2, 6, 1, 2, 2, 1, 2, 10, 2, 1, 1, 10, 10, 6, 10, 2, 10, 1, 6, 1, 6, 10, 2, 2, 6, 10, 7, 10, 9, 4, 2, 10, 9, 6, 10, 1, 1, 2, 2, 10, 1, 6, 10, 2, 2, 6, 2, 2, 4, 6, 10, 2, 10, 10, 2, 6, 10, 10, 6, 2, 1, 10, 6, 6, 10, 6, 6, 10, 10, 6, 2, 1, 2, 6, 1, 2, 2, 2, 2, 4, 6, 10, 1, 10, 6, 10, 6, 10, 10, 1, 1, 2, 10, 10, 2, 10, 10, 6, 1, 1, 6, 10, 2, 6, 2, 10, 2, 0, 9, 9, 1, 1, 1, 10, 6, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 10, 10, 6, 6, 6, 6, 2, 10, 6, 1, 10, 1, 1, 2, 10, 1, 6, 6, 2, 6, 6, 1, 2, 1, 1, 6, 1, 6, 6, 2, 6, 2, 4, 1, 1, 6, 4, 6, 10, 5, 10, 6, 10, 4, 6, 6, 1, 2, 1, 6, 9, 1, 6, 10, 1, 6, 6, 6, 1, 2, 10, 10, 1, 1, 6, 2, 10, 4, 6, 2, 6, 1, 6, 2, 1, 1, 1, 5, 10, 10, 10, 6, 1, 2, 1, 1, 2, 6, 10, 2, 2, 6, 6, 1, 6, 2, 6, 6, 1, 2, 2, 2, 1, 10, 10, 10, 1, 10, 5, 1, 10, 2, 10, 6, 6, 9, 1, 2, 1, 6, 2, 10, 10, 1, 1, 6, 2, 2, 1, 1, 10, 2, 10, 10, 2, 6, 1, 2, 6, 10, 10, 10, 6, 6, 2, 6, 5, 1, 1, 2, 10, 6, 6, 2, 10, 10, 2, 1, 6, 6, 1, 2, 6, 10, 1, 2, 6, 2, 10, 2, 2, 6, 6, 2, 10, 6, 1, 6, 6, 1, 10, 2, 10, 1, 2, 6, 10, 0, 2, 2, 1, 10, 10, 1, 2, 10, 10, 6, 2, 10, 2, 2, 1, 1, 6, 1, 2, 10, 2, 2, 10, 6, 2, 2, 2, 1, 10, 2, 10, 1, 1, 2, 2, 6, 2, 2, 10, 1, 6, 1, 2, 1, 6, 2, 2, 10, 6, 1, 10, 1, 1, 10, 10, 2, 2, 10, 10, 6, 1, 1, 10, 1, 6, 1, 2, 10, 2, 6, 10, 2, 6, 10, 5, 6, 1, 1, 1, 10, 10, 2, 1, 1, 2, 9, 10, 1, 10, 2, 10, 2, 6, 1, 1, 1, 1, 2, 10, 1, 2, 2, 1, 2, 10, 10, 1, 6, 10, 2, 10, 1, 2, 6, 10, 10, 1, 2, 2, 10, 6, 2, 1, 10, 10, 1, 2, 10, 1, 0, 2, 2, 2, 2, 1, 1, 2, 10, 10, 2, 6, 2, 1, 6, 10, 6, 6, 2, 10, 10, 6, 10, 10, 2, 6, 2, 2, 6, 2, 1, 2, 2, 6, 2, 6, 1, 2, 2, 6, 2, 2, 0, 1, 2, 6, 6, 6, 10, 2, 2, 10, 2, 2, 10, 2, 10, 1, 10, 6, 10, 1, 2, 1, 2, 1, 2, 1, 2, 10, 6, 6, 1, 6, 5, 2, 10, 1, 10, 6, 2, 1, 1, 6, 1, 6, 2, 1, 1, 1, 2, 2, 10, 6, 1, 10, 10, 2, 2, 1, 1, 1, 1, 10, 6, 10, 6, 6, 10, 2, 2, 6, 10, 10, 10, 6, 2, 2, 1, 6, 6, 10, 0, 10, 6, 1, 2, 1, 10, 2, 10, 6, 6, 2, 1, 10, 10, 2, 10, 1, 10, 10, 10, 10, 1, 5, 2, 6, 10, 2, 10, 6, 10, 1, 1, 2, 1, 6, 2, 6, 10, 5, 2, 1, 6, 10, 2, 1, 2, 1, 1, 10, 1, 1, 10, 2, 6, 10, 1, 6, 0, 6, 10, 10, 6, 10, 1, 6, 1, 6, 10, 1, 6, 2, 1, 2, 6, 10, 10, 1, 6, 6, 10, 0, 1, 1, 2, 1, 2, 1, 2, 2, 6, 1, 1, 6, 2, 2, 6, 6, 1, 2, 2, 2, 10, 2, 2, 6, 10, 10, 1, 2, 10, 2, 10, 4, 6, 2, 5, 6, 2, 6, 1, 6, 6, 6, 1, 6, 1, 6, 6, 2, 1, 6, 1, 10, 1, 2, 1, 1, 6, 1, 2, 10, 1, 2, 6, 6, 1, 10, 6, 1, 2, 6, 1, 2, 2, 1, 6, 1, 1, 2, 10, 2, 2, 10, 1, 1, 10, 1, 1, 10, 2, 10, 9, 6, 2, 6, 10, 2, 10, 10, 1, 10, 1, 2, 2, 2, 1, 1, 2, 1, 1, 10, 2, 1, 6, 1, 1, 10, 2, 10, 6, 1, 10, 2, 1, 6, 2, 10, 10, 6, 2, 10, 10, 10, 2, 10, 2, 6, 5, 2, 6, 10, 6, 1, 1, 2, 1, 10, 2, 6, 1, 6, 10, 1, 6, 2, 6, 10, 1, 10, 2, 1, 6, 2, 1, 2, 2, 2, 10, 1, 6, 10, 6, 2, 6, 1, 2, 2, 6, 10, 2, 2, 6, 6, 1, 1, 10, 1, 6, 2, 1, 20, 1, 6, 2, 2, 2, 1, 6, 6, 6, 6, 5, 1, 4, 6, 6, 6, 10, 10, 1, 1, 10, 10, 1, 4, 6, 2, 10, 6, 6, 2, 9, 10, 6, 10, 6, 10, 6, 10, 10, 2, 2, 1, 2, 1, 4, 10, 6, 1, 1, 2, 1, 6, 6, 9, 10, 10, 2, 10, 4, 10, 2, 6, 10, 2, 1, 10, 2, 1, 2, 6, 6, 5, 2, 1, 10, 6, 10, 2, 2, 1, 2, 10, 10, 2, 10, 6, 10, 2, 2, 4, 2, 10, 6, 6, 10, 2, 2, 10, 6, 10, 1, 2, 6, 2, 6, 1, 2, 10, 1, 2, 2, 9, 2, 6, 2, 10, 10, 1, 6, 1, 2, 10, 10, 10, 9, 1, 6, 10, 10, 6, 6, 10, 2, 1, 1, 1, 10, 1, 1, 6, 6, 1, 10, 10, 10, 1, 1, 6, 6, 2, 6, 2, 10, 1, 1, 6, 6, 2, 10, 2, 2, 6, 6, 6, 2, 6, 6, 1, 2, 6, 2, 2, 6, 2, 10, 2, 1, 2, 6, 2, 1, 10, 6, 5, 10, 1, 1, 6, 10, 10, 2, 2, 0, 1, 2, 6, 10, 2, 2, 10, 10, 10, 2, 2, 10, 10, 6, 1, 6, 1, 2, 4, 2, 2, 1, 10, 10, 6, 1, 10, 10, 1, 10, 6, 10, 2, 10, 2, 6, 1, 10, 1, 1, 10, 2, 2, 2, 6, 10, 10, 10, 0, 1, 2, 10, 2, 10, 2, 2, 6, 1, 1, 2, 7, 6, 5, 10, 10, 6, 6, 2, 6, 10, 10, 10, 10, 1, 0, 1, 10, 1, 6, 1, 2, 6, 2, 10, 10, 10, 1, 1, 6, 10, 10, 1, 10, 2, 6, 2, 6, 6, 1, 6, 6, 1, 10, 1, 1, 2, 2, 0, 2, 10, 2, 1, 1, 10, 2, 2, 2, 2, 10, 1, 2, 2, 6, 2, 10, 10, 10, 1, 1, 1, 6, 1, 10, 2, 10, 2, 1, 10, 1, 1, 2, 10, 2, 2, 2, 1, 6, 6, 10, 10, 1, 2, 6, 2, 6, 10, 10, 6, 10, 1, 6, 10, 6, 2, 1, 2, 10, 6, 2, 1, 6, 10, 2, 6, 2, 1, 1, 10, 1, 1, 1, 6, 1, 6, 2, 10, 1, 10, 1, 2, 2, 6, 1, 1, 2, 2, 10, 6, 1, 6, 2, 2, 2, 6, 1, 6, 6, 2, 6, 10, 10, 9, 1, 2, 1, 2, 6, 10, 10, 10, 1, 6, 10, 5, 2, 1, 1, 1, 1, 2, 1, 6, 2, 2, 2, 2, 2, 2, 6, 6, 2, 10, 10, 9, 2, 10, 2, 10, 6, 1, 6, 6, 2, 6, 10, 6, 6, 1, 6, 6, 10, 1, 6, 10, 6, 2, 2, 1, 10, 6, 1, 2, 5, 6, 2, 2, 10, 1, 2, 6, 10, 1, 10, 6, 1, 10, 6, 2, 2, 10, 1, 0, 10, 1, 10, 10, 10, 2, 10, 1, 6, 6, 6, 6, 2, 10, 10, 10, 6, 10, 1, 2, 6, 2, 2, 10, 10, 1, 1, 1, 6, 6, 1, 2, 10, 1, 4, 10, 10, 2, 2, 6, 6, 10, 10, 2, 2, 1, 1, 2, 6, 2, 10, 10, 6, 6, 2, 5, 10, 10, 6, 2, 2, 6, 6, 2, 1, 1, 1, 10, 2, 1, 6, 6, 1, 1, 1, 6, 10, 2, 1, 10, 2, 10, 10, 2, 10, 1, 6, 2, 2, 10, 1, 2, 10, 6, 1, 10, 2, 6, 10, 6, 6, 1, 2, 1, 1, 10, 2, 10, 6, 1, 10, 1, 2, 10, 1, 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10, 10, 1, 2, 2, 10, 1, 2, 6, 10, 10, 10, 1, 1, 1, 1, 6, 1, 2, 0, 1, 2, 2, 10, 2, 10, 1, 1, 1, 10, 10, 10, 1, 6, 10, 2, 2, 2, 6, 4, 2, 10, 10, 1, 6, 6, 6, 2, 2, 10, 6, 6, 10, 9, 10, 10, 2, 6, 6, 1, 2, 2, 2, 1, 2, 2, 10, 2, 10, 6, 10, 6, 10, 5, 1, 10, 10, 2, 6, 10, 1, 6, 10, 4, 10, 1, 1, 10, 1, 6, 6, 2, 2, 6, 1, 10, 10, 2, 10, 1, 10, 10, 10, 2, 1, 10, 1, 6, 10, 2, 2, 5, 10, 6, 6, 2, 2, 6, 2, 6, 1, 10, 1, 10, 2, 6, 1, 2, 1, 6, 6, 10, 2, 2, 6, 2, 2, 6, 10, 1, 1, 1, 1, 6, 6, 6, 2, 2, 1, 9, 9, 2, 1, 1, 6, 1, 10, 6, 1, 2, 2, 6, 6, 10, 10, 2, 6, 1, 6, 6, 9, 10, 2, 6, 1, 10, 10, 1, 1, 2, 1, 6, 1, 9, 2, 1, 6, 2, 10, 6, 6, 2, 1, 6, 10, 1, 6, 6, 6, 2, 1, 6, 2, 6, 6, 2, 2, 1, 6, 2, 1, 6, 10, 6, 1, 1, 10, 10, 2, 2, 6, 6, 2, 5, 1, 10, 2, 2, 1, 6, 6, 6, 10, 10, 6, 10, 2, 6, 10, 1, 1, 1, 10, 6, 1, 1, 1, 1, 2, 2, 2, 10, 10, 1, 10, 2, 10, 2, 4, 10, 2, 2, 1, 1, 6, 2, 10, 1, 1, 6, 10, 4, 10, 2, 1, 10, 2, 0, 1, 2, 1, 2, 6, 1, 2, 6, 1, 6, 6, 10, 6, 2, 5, 2, 1, 6, 1, 2, 2, 6, 10, 1, 6, 6, 2, 6, 1, 10, 1, 10, 10, 6, 1, 1, 2, 6, 1, 6, 10, 1, 2, 6, 0, 6, 2, 6, 10, 1, 10, 6, 2, 10, 10, 2, 2, 2, 6, 1, 1, 10, 10, 10, 6, 10, 9, 10, 2, 0, 10, 2, 6, 10, 6, 6, 6, 1, 1, 1, 2, 1, 6, 6, 10, 2, 6, 10, 10, 9, 10, 1, 6, 1, 6, 2, 6, 10, 2, 10, 10, 1, 1, 6, 6, 10, 6, 1, 2, 2, 6, 1, 1, 2, 2, 2, 2, 6, 1, 2, 10, 2, 6, 1, 2, 10, 10, 10, 6, 6, 1, 10, 6, 6, 2, 6, 10, 10, 1, 10, 1, 1, 2, 6, 5, 6, 10, 10, 6, 10, 2, 6, 10, 6, 2, 10, 6, 1, 10, 9, 10, 10, 10, 2, 6, 10, 6, 10, 2, 1, 6, 2, 2, 2, 2, 6, 1, 10, 10, 2, 6, 1, 6, 4, 2, 2, 2, 5, 10, 1, 6, 1, 2, 6, 2, 10, 10, 2, 2, 2, 6, 1, 2, 1, 10, 10, 2, 6, 1, 5, 1, 10, 6, 6, 6, 6, 2, 10, 6, 1, 6, 6, 2, 2, 1, 6, 1, 2, 2, 10, 6, 8, 6, 1, 2, 1, 6, 1, 1, 2, 9, 2, 2, 2, 1, 1, 10, 6, 1, 6, 6, 1, 2, 10, 6, 6, 1, 1, 10, 6, 1, 9, 10, 2, 2, 10, 6, 10, 6, 1, 10, 10, 2, 6, 10, 2, 10, 2, 6, 6, 10, 6, 2, 2, 1, 10, 1, 10, 1, 1, 1, 6, 1, 2, 6, 6, 10, 6, 1, 6, 2, 10, 1, 10, 2, 5, 6, 1, 9, 2, 1, 2, 1, 2, 2, 10, 6, 2, 10, 1, 2, 10, 1, 10, 1, 1, 10, 2, 10, 2, 2, 10, 2, 1, 2, 10, 1, 1, 6, 10, 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6, 2, 1, 2, 2, 10, 10, 6, 10, 2, 2, 10, 6, 6, 1, 6, 10, 1, 10, 6, 10, 9, 1, 10, 2, 1, 1, 10, 6, 10, 1, 1, 2, 2, 2, 4, 10, 2, 6, 6, 1, 10, 0, 9, 1, 10, 1, 1, 6, 6, 2, 2, 2, 10, 5, 2, 10, 1, 1, 6, 2, 6, 2, 10, 1, 2, 10, 10, 2, 5, 10, 6, 10, 2, 6, 2, 2, 6, 10, 10, 1, 6, 10, 1, 6, 2, 2, 10, 10, 6, 1, 10, 1, 2, 2, 10, 2, 9, 1, 1, 10, 6, 10, 6, 10, 2, 1, 10, 2, 10, 2, 6, 6, 2, 6, 10, 10, 6, 1, 1, 1, 2, 1, 6, 10, 10, 2, 1, 6, 2, 6, 2, 2, 10, 1, 10, 1, 6, 1, 1, 6, 10, 10, 2, 1, 1, 1, 10, 10, 1, 1, 1, 2, 1, 1, 2, 1, 6, 6, 1, 6, 2, 2, 4, 2, 10, 10, 1, 6, 1, 10, 6, 2, 6, 10, 1, 1, 1, 2, 1, 10, 6, 6, 6, 6, 10, 1, 10, 2, 10, 10, 10, 6, 2, 10, 1, 2, 10, 6, 6, 1, 1, 10, 2, 10, 10, 10, 1, 1, 2, 6, 2, 10, 2, 10, 1, 1, 2, 10, 10, 2, 1, 1, 2, 1, 2, 1, 10, 10, 10, 10, 1, 2, 10, 1, 6, 1, 6, 10, 6, 1, 10, 1, 6, 10, 6, 1, 10, 4, 2, 1, 2, 2, 1, 6, 1, 6, 1, 6, 6, 10, 6, 1, 10, 10, 1, 2, 10, 6, 2, 4, 1, 1, 1, 10, 1, 6, 2, 1, 2, 1, 10, 1, 2, 1, 1, 1, 2, 2, 6, 2, 2, 2, 2, 2, 6, 1, 10, 2, 6, 1, 2, 10, 10, 10, 4, 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1, 2, 6, 1, 1, 9, 10, 2, 6, 1, 6, 6, 2, 9, 2, 2, 10, 10, 2, 6, 1, 1, 2, 2, 6, 1, 6, 6, 1, 10, 6, 6, 9, 6, 1, 2, 6, 2, 6, 1, 2, 6, 6, 1, 6, 10, 10, 1, 10, 6, 1, 10, 1, 6, 1, 10, 1, 2, 2, 6, 10, 6, 6, 10, 2, 10, 0, 2, 6, 6, 1, 10, 10, 10, 2, 5, 6, 5, 1, 6, 6, 2, 1, 10, 10, 6, 10, 1, 6, 6, 10, 10, 10, 10, 2, 2, 1, 1, 6, 1, 2, 6, 2, 2, 1, 1, 10, 10, 1, 6, 10, 2, 1, 2, 1, 1, 2, 2, 1, 10, 10, 10, 10, 2, 2, 5, 2, 1, 10, 6, 1, 10, 1, 10, 2, 2, 2, 6, 2, 6, 10, 2, 10, 6, 10, 10, 2, 2, 10, 5, 1, 10, 6, 2, 10, 2, 10, 10, 10, 2, 10, 10, 1, 1, 1, 1, 2, 0, 6, 6, 2, 10, 1, 5, 1, 2, 1, 1, 0, 2, 1, 10, 5, 6, 1, 6, 10, 6, 1, 2, 10, 2, 1, 6, 5, 6, 9, 6, 6, 10, 6, 5, 6, 2, 6, 10, 1, 1, 2, 9, 2, 10, 1, 1, 6, 10, 2, 6, 10, 10, 10, 6, 1, 1, 2, 1, 2, 10, 1, 10, 10, 2, 6, 2, 2, 6, 6, 10, 2, 2, 6, 10, 10, 1, 6, 1, 2, 10, 10, 6, 10, 2, 7, 2, 6, 10, 10, 10, 1, 10, 6, 1, 2, 6, 0, 6, 1, 10, 2, 6, 2, 10, 1, 6, 6, 6, 6, 10, 1, 1, 10, 6, 2, 6, 10, 10, 6, 10, 10, 6, 6, 2, 6, 6, 1, 10, 1, 6, 1, 6, 1, 10, 2, 6, 10, 2, 1, 2, 6, 6, 10, 10, 6, 1, 1, 2, 10, 1, 10, 6, 1, 1, 2, 1, 6, 10, 10, 1, 2, 6, 2, 2, 2, 10, 2, 10, 6, 2, 10, 10, 10, 2, 1, 2, 6, 1, 2, 1, 6, 10, 6, 6, 2, 2, 6, 2, 6, 6, 2, 10, 1, 1, 10, 2, 10, 2, 2, 1, 10, 2, 2, 10, 10, 6, 2, 2, 0, 6, 6, 1, 10, 6, 2, 1, 10, 10, 10, 6, 2, 2, 1, 10, 2, 6, 1, 6, 1, 1, 10, 10, 2, 6, 2, 1, 6, 4, 1, 6, 1, 10, 6, 1, 6, 6, 10, 2, 2, 1, 10, 10, 4, 1, 10, 1, 6, 9, 10, 6, 10, 1, 10, 2, 6, 1, 1, 10, 6, 6, 2, 2, 1, 2, 2, 2, 6, 2, 6, 1, 1, 2, 6, 10, 10, 10, 2, 1, 10, 1, 10, 2, 1, 6, 2, 2, 2, 2, 10, 1, 10, 10, 10, 1, 1, 10, 10, 1, 1, 1, 2, 1, 6, 6, 1, 1, 2, 6, 1, 10, 6, 1, 2, 10, 1, 6, 6, 2, 1, 10, 5, 10, 6, 2, 1, 2, 2, 10, 4, 10, 10, 1, 1, 2, 10, 6, 2, 2, 2, 1, 6, 1, 6, 2, 6, 2, 2, 1, 6, 2, 1, 6, 1, 1, 1, 1, 10, 6, 6, 2, 2, 2, 1, 10, 2, 6, 2, 2, 6, 6, 6, 6, 6, 6, 10, 6, 6, 10, 6, 2, 2, 1, 10, 2, 1, 1, 6, 6, 2, 2, 10, 10, 6, 1, 2, 2, 10, 6, 2, 10, 10, 10, 10, 1, 10, 6, 2, 6, 6, 6, 10, 5, 9, 8, 10, 10, 10, 2, 1, 10, 1, 10, 2, 1, 6, 6, 6, 6, 10, 10, 6, 2, 2, 10, 2, 1, 6, 4, 2, 10, 2, 1, 10, 2, 10, 10, 2, 1, 2, 6, 6, 0, 10, 1, 1, 1, 6, 6, 6, 1, 1, 1, 10, 10, 1, 6, 2, 6, 1, 6, 10, 2, 2, 10, 10, 1, 10, 1, 10, 1, 2, 1, 1, 10, 10, 10, 2, 10, 2, 6, 2, 10, 2, 10, 6, 6, 9, 10, 1, 10, 6, 4, 1, 1, 10, 1, 2, 1, 1, 1, 6, 9, 10, 10, 4, 10, 2, 1, 10, 1, 2, 6, 6, 2, 6, 10, 5, 1, 6, 10, 6, 1, 1, 10, 10, 1, 2, 10, 10, 10, 6, 6, 1, 10, 10, 10, 2, 4, 6, 2, 2, 10, 1, 1, 1, 2, 1, 1, 2, 1, 6, 10, 1, 6, 2, 10, 2, 6, 10, 2, 6, 1, 1, 10, 2, 10, 6, 1, 10, 2, 10, 10, 1, 6, 6, 2, 6, 10, 6, 10, 9, 1, 1, 1, 10, 6, 6, 1, 10, 10, 1, 6, 0, 6, 10, 9, 1, 6, 1, 2, 2, 1, 10, 1, 10, 1, 2, 10, 1, 1, 6, 2, 6, 6, 10, 4, 6, 2, 6, 2, 2, 6, 1, 6, 10, 6, 1, 2, 2, 9, 6, 2, 1, 1, 6, 1, 10, 6, 6, 1, 2, 10, 1, 6, 1, 6, 10, 6, 10, 6, 6, 2, 0, 2, 6, 1, 5, 6, 2, 10, 1, 6, 2, 2, 2, 10, 9, 6, 1, 6, 10, 6, 2, 10, 2, 2, 10, 2, 6, 10, 6, 1, 1, 2, 10, 2, 6, 6, 6, 1, 10, 2, 6, 1, 1, 2, 1, 2, 1, 6, 10, 5, 6, 2, 2, 10, 10, 1, 1, 10, 4, 2, 6, 2, 10, 10, 10, 2, 50, 10, 5, 5, 1, 10, 2, 6, 10, 10, 2, 6, 6, 1, 1, 2, 1, 2, 6, 2, 2, 6, 6, 10, 6, 6, 1, 2, 1, 10, 2, 10, 6, 10, 1, 1, 6, 6, 6, 1, 10, 10, 10, 1, 10, 6, 2, 9, 2, 1, 1, 1, 4, 2, 2, 6, 0, 6, 1, 6, 2, 1, 10, 5, 6, 6, 10, 10, 9, 2, 9, 6, 10, 6, 6, 1, 1, 6, 10, 4, 1, 10, 6, 2, 10, 1, 10, 6, 6, 6, 6, 10, 10, 2, 6, 1, 2, 2, 2, 1, 6, 1, 6, 5, 1, 10, 1, 10, 2, 10, 1, 10, 1, 2, 2, 1, 1, 10, 2, 6, 10, 6, 10, 2, 6, 6, 2, 10, 2, 2, 6, 2, 5, 6, 10, 6, 2, 2, 1, 2, 10, 6, 6, 10, 1, 6, 2, 5, 1, 10, 10, 6, 2, 6, 6, 2, 2, 2, 6, 2, 1, 10, 6, 10, 6, 6, 1, 1, 10, 1, 6, 2, 6, 10, 1, 2, 1, 10, 2, 6, 1, 1, 1, 10, 1, 5, 10, 1, 1, 10, 2, 1, 10, 10, 1, 2, 2, 6, 6, 2, 1, 6, 2, 6, 2, 10, 10, 1, 1, 1, 1, 10, 1, 10, 6, 10, 10, 6, 10, 2, 1, 10, 6, 10, 2, 1, 2, 6, 4, 1, 4, 1, 2, 10, 2, 2, 10, 1, 6, 10, 10, 6, 10, 2, 1, 6, 10, 1, 6, 1, 1, 2, 0, 2, 6, 1, 6, 2, 9, 1, 6, 10, 1, 10, 10, 2, 10, 1, 2, 10, 6, 10, 9, 10, 1, 10, 10, 1, 6, 10, 2, 1, 6, 2, 10, 6, 1, 10, 5, 6, 1, 1, 2, 5, 2, 1, 10, 10, 6, 1, 10, 6, 10, 1, 1, 6, 10, 6, 1, 10, 10, 9, 1, 2, 6, 1, 2, 2, 9, 1, 2, 2, 2, 10, 6, 1, 1, 1, 2, 1, 1, 1, 10, 2, 1, 2, 2, 2, 6, 6, 2, 6, 2, 6, 1, 2, 6, 2, 1, 10, 2, 0, 1, 1, 10, 10, 6, 2, 2, 2, 10, 10, 1, 1, 6, 1, 10, 10, 6, 1, 6, 10, 1, 2, 1, 1, 10, 6, 10, 2, 0, 2, 6, 10, 10, 2, 6, 10, 2, 10, 10, 1, 10, 1, 1, 10, 1, 10, 2, 6, 2, 6, 6, 1, 2, 4, 10, 2, 2, 6, 1, 10, 6, 2, 2, 2, 2, 2, 1, 1, 10, 6, 6, 10, 6, 2, 6, 1, 10, 1, 1, 10, 2, 1, 6, 2, 2, 10, 6, 10, 6, 6, 10, 6, 10, 1, 2, 10, 1, 6, 6, 6, 1, 6, 2, 10, 6, 1, 1, 2, 2, 10, 1, 10, 10, 6, 2, 10, 2, 6, 1, 1, 1, 2, 6, 2, 10, 6, 6, 6, 2, 2, 2, 0, 6, 2, 2, 4, 6, 1, 10, 10, 2, 1, 2, 2, 2, 1, 2, 6, 10, 1, 6, 2, 10, 1, 10, 1, 10, 10, 2, 2, 2, 6, 6, 6, 2, 2, 2, 6, 6, 6, 2, 10, 6, 6, 10, 10, 6, 1, 10, 1, 10, 6, 1, 10, 6, 0, 10, 2, 1, 1, 2, 2, 2, 2, 6, 10, 2, 10, 10, 1, 2, 10, 2, 6, 10, 10, 2, 10, 6, 2, 1, 0, 10, 2, 1, 10, 2, 2, 6, 6, 10, 10, 1, 1, 6, 6, 10, 10, 2, 10, 2, 1, 2, 6, 4, 10, 0, 1, 6, 10, 6, 5, 2, 6, 2, 10, 2, 6, 1, 1, 1, 10, 10, 2, 1, 10, 1, 6, 1, 10, 2, 10, 10, 10, 1, 6, 6, 6, 10, 2, 10, 10, 1, 1, 1, 1, 2, 1, 10, 6, 6, 1, 6, 9, 2, 6, 10, 6, 1, 6, 2, 2, 10, 10, 10, 2, 1, 2, 6, 2, 6, 10, 10, 2, 10, 6, 1, 1, 2, 10, 10, 6, 6, 6, 10, 6, 1, 1, 2, 6, 10, 2, 2, 1, 10, 1, 10, 10, 1, 6, 6, 2, 6, 10, 2, 2, 10, 6, 6, 10, 10, 10, 1, 6, 9, 10, 6, 10, 1, 1, 6, 2, 10, 6, 1, 2, 2, 6, 10, 10, 2, 5, 6, 6, 2, 10, 10, 10, 1, 6, 6, 10, 1, 6, 2, 10, 10, 6, 10, 10, 6, 6, 2, 2, 1, 6, 6, 6, 10, 1, 1, 1, 1, 10, 1, 2, 2, 1, 6, 6, 10, 2, 10, 10, 1, 2, 2, 2, 2, 1, 10, 6, 2, 10, 10, 5, 1, 2, 2, 6, 1, 2, 1, 10, 1, 6, 6, 2, 1, 10, 6, 10, 10, 10, 10, 1, 6, 1, 2, 10, 1, 10, 1, 6, 6, 1, 2, 9, 6, 1, 6, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 10, 6, 6, 1, 1, 10, 6, 2, 2, 6, 10, 1, 10, 2, 10, 2, 10, 2, 10, 10, 9, 10, 1, 10, 6, 6, 1, 5, 10, 1, 1, 1, 2, 1, 6, 6, 6, 6, 9, 6, 1, 2, 2, 1, 2, 1, 6, 10, 6, 10, 0, 2, 10, 10, 1, 10, 4, 10, 6, 6, 1, 6, 10, 10, 10, 1, 2, 10, 6, 6, 1, 2, 10, 2, 10, 1, 2, 2, 1, 6, 1, 10, 10, 1, 10, 10, 1, 1, 10, 1, 1, 1, 10, 2, 6, 10, 6, 2, 10, 2, 6, 2, 10, 6, 1, 1, 1, 1, 6, 10, 6, 2, 1, 10, 6, 1, 10, 6, 10, 10, 2, 2, 1, 10, 10, 6, 2, 6, 6, 2, 10, 6, 6, 2, 6, 2, 2, 2, 10, 6, 2, 6, 2, 6, 6, 2, 10, 6, 2, 2, 1, 1, 1, 2, 1, 2, 1, 9, 1, 2, 6, 10, 2, 6, 1, 1, 10, 10, 2, 10, 6, 2, 1, 6, 6, 10, 6, 6, 2, 6, 2, 1, 2, 10, 10, 2, 2, 10, 10, 10, 6, 6, 1, 10, 1, 6, 6, 1, 1, 10, 10, 6, 1, 2, 1, 10, 2, 10, 2, 10, 6, 2, 1, 10, 6, 6, 5, 2, 10, 2, 10, 2, 10, 6, 10, 10, 6, 1, 2, 6, 10, 1, 6, 10, 10, 6, 1, 10, 10, 6, 2, 6, 60, 2, 10, 6, 1, 2, 10, 10, 10, 1, 6, 1, 2, 6, 6, 10, 6, 2, 10, 2, 1, 2, 10, 2, 10, 6, 10, 2, 2, 10, 10, 2, 2, 6, 1, 10, 6, 10, 2, 1, 1, 1, 10, 2, 2, 1, 10, 6, 2, 2, 6, 1, 10, 10, 10, 1, 1, 2, 10, 2, 1, 10, 1, 2, 2, 2, 6, 10, 2, 10, 10, 10, 6, 10, 1, 2, 1, 6, 10, 10, 2, 6, 10, 6, 2, 10, 10, 10, 6, 2, 6, 1, 2, 1, 6, 2, 9, 2, 10, 1, 1, 6, 1, 6, 10, 2, 6, 10, 10, 6, 4, 10, 6, 1, 2, 10, 1, 1, 10, 1, 2, 6, 2, 1, 1, 2, 1, 2, 2, 10, 1, 2, 1, 6, 6, 10, 2, 9, 1, 2, 1, 10, 5, 10, 2, 6, 4, 10, 1, 10, 6, 6, 1, 2, 2, 6, 6, 2, 10, 1, 6, 0, 2, 6, 10, 5, 10, 2, 2, 2, 6, 10, 10, 6, 6, 2, 2, 1, 6, 6, 20, 10, 6, 2, 2, 1, 6, 2, 10, 6, 2, 1, 10, 10, 0, 1, 2, 1, 2, 6, 6, 10, 6, 10, 9, 6, 6, 10, 2, 6, 2, 1, 1, 6, 2, 6, 1, 10, 2, 6, 2, 2, 10, 2, 10, 1, 2, 6, 10, 2, 6, 10, 10, 1, 6, 10, 10, 6, 10, 10, 1, 2, 2, 6, 10, 10, 6, 2, 2, 2, 2, 1, 6, 10, 10, 1, 10, 10, 1, 10, 6, 10, 6, 2, 10, 2, 10, 2, 2, 2, 1, 2, 4, 1, 2, 6, 6, 10, 1, 10, 2, 2, 1, 6, 2, 1, 6, 1, 10, 1, 1, 4, 6, 1, 2, 10, 1, 2, 10, 10, 10, 2, 6, 10, 1, 2, 1, 1, 6, 10, 1, 2, 2, 6, 6, 10, 10, 10, 10, 1, 6, 1, 10, 10, 2, 6, 2, 2, 10, 1, 6, 1, 2, 6, 10, 2, 2, 6, 6, 2, 4, 5, 2, 1, 4, 6, 10, 2, 6, 2, 1, 6, 10, 1, 10, 1, 10, 1, 10, 6, 10, 6, 2, 1, 6, 10, 1, 2, 1, 1, 2, 2, 2, 10, 6, 2, 2, 1, 1, 2, 1, 1, 6, 10, 10, 10, 10, 1, 6, 2, 1, 2, 10, 10, 10, 10, 9, 6, 10, 10, 1, 2, 10, 2, 6, 1, 6, 6, 2, 10, 9, 1, 2, 10, 1, 1, 1, 1, 1, 2, 1, 1, 10, 6, 2, 10, 6, 6, 1, 6, 6, 6, 2, 10, 1, 1, 10, 1, 6, 10, 1, 2, 2, 10, 10, 6, 6, 2, 2, 10, 6, 10, 2, 1, 10, 1, 2, 10, 1, 2, 1, 1, 6, 1, 10, 2, 6, 10, 1, 1, 10, 2, 1, 10, 10, 6, 1, 6, 2, 1, 1, 10, 10, 1, 10, 1, 6, 10, 10, 2, 0, 10, 6, 6, 10, 2, 6, 6, 1, 2, 1, 6, 1, 0, 1, 2, 2, 1, 1, 10, 6, 1, 2, 10, 6, 6, 8, 10, 6, 10, 6, 1, 10, 6, 2, 6, 6, 2, 6, 6, 10, 2, 10, 1, 2, 6, 10, 1, 1, 1, 1, 6, 6, 2, 2, 10, 6, 10, 1, 10, 6, 1, 10, 1, 1, 6, 1, 1, 6, 2, 2, 10, 1, 10, 1, 6, 10, 1, 6, 2, 10, 10, 6, 1, 6, 2, 6, 10, 2, 2, 1, 2, 6, 2, 9, 10, 6, 2, 10, 10, 2, 6, 0, 2, 1, 1, 5, 10, 10, 4, 10, 6, 10, 2, 1, 6, 1, 2, 6, 1, 2, 6, 10, 6, 1, 10, 6, 10, 1, 1, 1, 1, 2, 6, 6, 2, 2, 6, 6, 6, 10, 4, 1, 6, 6, 10, 6, 6, 1, 10, 1, 1, 10, 10, 1, 6, 2, 2, 1, 1, 2, 4, 2, 10, 6, 6, 10, 2, 1, 6, 10, 10, 2, 10, 2, 6, 2, 2, 6, 6, 6, 2, 10, 2, 6, 2, 6, 2, 6, 1, 2, 10, 0, 6, 2, 10, 1, 2, 2, 6, 2, 6, 2, 1, 6, 2, 2, 2, 6, 2, 10, 1, 2, 6, 10, 6, 6, 1, 10, 6, 2, 1, 2, 6, 10, 10, 1, 2, 10, 10, 6, 1, 2, 10, 6, 2, 10, 6, 2, 1, 10, 10, 1, 10, 6, 1, 2, 1, 6, 10, 10, 6, 1, 6, 6, 10, 6, 6, 10, 10, 6, 6, 6, 9, 2, 6, 6, 1, 10, 1, 10, 10, 1, 10, 1, 2, 1, 10, 2, 10, 10, 1, 1, 2, 2, 2, 1, 6, 6, 1, 1, 1, 1, 1, 6, 10, 10, 1, 2, 1, 6, 1, 2, 1, 1, 1, 2, 10, 6, 1, 10, 1, 6, 2, 1, 10, 10, 10, 1, 2, 1, 1, 6, 10, 10, 6, 10, 1, 2, 2, 1, 2, 6, 9, 1, 6, 2, 10, 6, 6, 10, 6, 10, 10, 1, 1, 10, 1, 6, 1, 0, 10, 6, 6, 1, 10, 6, 2, 10, 2, 1, 6, 10, 1, 1, 2, 10, 1, 1, 1, 4, 2, 1, 2, 1, 2, 10, 1, 4, 6, 6, 1, 1, 10, 10, 9, 2, 6, 6, 10, 10, 5, 10, 2, 2, 2, 2, 0, 2, 10, 1, 1, 9, 2, 1, 2, 2, 10, 1, 6, 2, 10, 10, 1, 6, 1, 10, 6, 2, 6, 10, 2, 1, 2, 10, 1, 1, 2, 1, 2, 10, 10, 1, 2, 10, 1, 0, 10, 1, 6, 10, 2, 2, 1, 4, 6, 2, 6, 6, 2, 1, 6, 6, 2, 10, 2, 2, 10, 1, 1, 1, 6, 6, 1, 6, 6, 2, 2, 1, 10, 10, 2, 2, 6, 10, 10, 10, 10, 6, 10, 6, 2, 2, 2, 10, 2, 2, 10, 6, 2, 2, 6, 1, 2, 2, 10, 2, 6, 1, 2, 10, 2, 1, 1, 2, 10, 6, 6, 1, 10, 10, 2, 6, 1, 10, 9, 10, 6, 10, 10, 2, 10, 1, 1, 1, 6, 2, 1, 10, 0, 10, 1, 1, 2, 2, 2, 2, 2, 6, 6, 1, 1, 6, 10, 1, 1, 10, 2, 6, 1, 2, 10, 2, 1, 6, 1, 1, 10, 1, 10, 1, 6, 1, 2, 6, 10, 2, 10, 6, 10, 6, 10, 1, 6, 10, 2, 10, 6, 2, 10, 10, 4, 1, 2, 2, 10, 6, 10, 2, 2, 10, 2, 2, 10, 2, 1, 6, 2, 10, 6, 2, 10, 5, 6, 6, 2, 2, 6, 1, 2, 6, 10, 2, 6, 10, 2, 6, 2, 1, 6, 1, 2, 2, 1, 10, 10, 6, 6, 6, 6, 10, 2, 1, 1, 10, 6, 1, 6, 6, 1, 1, 6, 6, 2, 2, 1, 6, 6, 6, 1, 2, 10, 2, 10, 10, 6, 10, 1, 6, 10, 1, 6, 6, 1, 2, 10, 10, 2, 6, 2, 10, 40, 1, 2, 2, 10, 9, 10, 6, 1, 1, 2, 10, 2, 1, 6, 10, 1, 6, 6, 1, 2, 2, 2, 10, 10, 2, 2, 0, 1, 10, 1, 10, 6, 2, 10, 1, 1, 9, 2, 2, 10, 2, 10, 1, 6, 10, 1, 6, 2, 10, 6, 6, 1, 2, 2, 1, 6, 10, 1, 2, 1, 1, 10, 6, 2, 1, 10, 1, 1, 1, 5, 1, 6, 1, 1, 10, 2, 2, 6, 2, 2, 1, 6, 2, 2, 2, 2, 2, 10, 1, 6, 10, 10, 1, 1, 1, 10, 1, 2, 2, 6, 10, 10, 2, 2, 10, 2, 10, 10, 1, 10, 6, 6, 1, 1, 10, 2, 2, 10, 2, 2, 6, 1, 6, 2, 2, 2, 10, 10, 6, 10, 10, 1, 10, 6, 10, 10, 10, 1, 2, 6, 2, 6, 6, 2, 10, 2, 6, 6, 10, 6, 1, 10, 2, 2, 1, 6, 6, 2, 6, 1, 10, 6, 1, 2, 2, 10, 6, 6, 1, 6, 10, 1, 2, 2, 6, 1, 10, 6, 1, 6, 10, 6, 1, 2, 6, 9, 1, 10, 6, 0, 2, 10, 6, 2, 1, 1, 1, 10, 2, 10, 6, 10, 10, 1, 6, 2, 6, 6, 5, 2, 6, 1, 6, 1, 1, 2, 1, 2, 1, 2, 6, 10, 6, 1, 10, 1, 6, 1, 2, 2, 6, 10, 6, 6, 1, 1, 6, 10, 6, 1, 10, 2, 1, 1, 6, 10, 6, 1, 2, 6, 10, 1, 10, 1, 10, 2, 10, 2, 10, 1, 2, 6, 10, 6, 2, 6, 10, 6, 1, 2, 10, 10, 1, 10, 6, 6, 10, 10, 1, 10, 2, 2, 10, 2, 6, 10, 6, 1, 1, 1, 6, 2, 2, 10, 10, 6, 1, 10, 6, 1, 1, 10, 1, 2, 1, 6, 10, 2, 6, 6, 1, 2, 0, 1, 10, 2, 2, 1, 2, 2, 10, 10, 10, 2, 6, 1, 1, 10, 6, 6, 6, 2, 10, 10, 6, 10, 10, 10, 10, 2, 6, 2, 6, 2, 10, 6, 6, 10, 6, 10, 1, 2, 10, 1, 1, 2, 2, 10, 1, 10, 6, 2, 10, 6, 2, 6, 2, 1, 6, 6, 6, 10, 2, 2, 2, 6, 6, 1, 6, 2, 6, 2, 2, 6, 1, 10, 1, 2, 10, 1, 1, 10, 2, 10, 10, 1, 2, 6, 1, 6, 10, 2, 2, 1, 6, 1, 6, 10, 10, 2, 10, 1, 2, 5, 1, 10, 2, 10, 1, 1, 4, 2, 10, 6, 2, 2, 10, 1, 10, 10, 6, 2, 10, 10, 1, 10, 2, 2, 10, 6, 10, 6, 2, 2, 2, 1, 10, 1, 2, 10, 1, 6, 6, 2, 6, 6, 2, 10, 5, 1, 10, 1, 10, 6, 10, 10, 1, 6, 2, 10, 6, 2, 10, 6, 10, 2, 10, 2, 2, 10, 2, 2, 2, 2, 6, 6, 2, 2, 1, 10, 6, 2, 2, 2, 6, 1, 6, 2, 1, 2, 1, 10, 1, 1, 10, 2, 10, 2, 1, 10, 6, 1, 6, 6, 1, 10, 10, 4, 2, 2, 1, 1, 6, 2, 1, 10, 10, 10, 2, 6, 2, 2, 2, 10, 1, 10, 6, 2, 2, 1, 9, 6, 10, 1, 1, 10, 6, 6, 1, 10, 6, 10, 2, 1, 2, 10, 10, 6, 10, 2, 2, 1, 1, 2, 5, 1, 2, 10, 1, 10, 10, 10, 10, 40, 10, 6, 1, 6, 6, 6, 2, 6, 2, 2, 10, 2, 6, 6, 10, 2, 6, 1, 10, 6, 10, 1, 1, 6, 1, 6, 6, 1, 9, 2, 6, 10, 1, 1, 5, 10, 1, 2, 5, 6, 10, 10, 10, 1, 10, 6, 10, 1, 10, 10, 2, 10, 1, 6, 1, 6, 1, 1, 2, 10, 10, 6, 2, 1, 6, 2, 10, 6, 1, 2, 2, 1, 10, 6, 10, 1, 10, 2, 6, 6, 6, 2, 10, 1, 1, 1, 6, 6, 10, 6, 1, 6, 10, 2, 6, 1, 1, 2, 10, 6, 2, 2, 10, 6, 1, 1, 2, 10, 2, 6, 1, 10, 1, 6, 10, 10, 6, 2, 2, 6, 1, 10, 6, 6, 1, 1, 2, 0, 10, 6, 6, 6, 1, 6, 1, 10, 10, 10, 6, 1, 6, 10, 10, 10, 1, 10, 1, 2, 2, 6, 1, 10, 6, 1, 6, 2, 6, 6, 10, 6, 1, 2, 10, 1, 10, 2, 0, 1, 6, 10, 5, 2, 1, 6, 6, 2, 10, 1, 0, 1, 10, 10, 6, 6, 2, 6, 10, 6, 6, 10, 6, 2, 6, 10, 10, 1, 10, 2, 6, 6, 2, 2, 0, 1, 6, 10, 6, 9, 1, 6, 6, 10, 6, 2, 1, 2, 6, 6, 1, 2, 10, 10, 6, 5, 1, 2, 6, 1, 10, 1, 9, 1, 10, 10, 10, 2, 1, 10, 1, 6, 2, 6, 1, 10, 10, 4, 6, 10, 2, 6, 10, 2, 2, 1, 2, 10, 6, 2, 6, 10, 10, 1, 2, 1, 1, 10, 2, 2, 1, 2, 2, 2, 10, 2, 10, 10, 6, 6, 6, 1, 6, 6, 10, 1, 1, 6, 10, 10, 6, 1, 6, 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1, 1, 0, 6, 2, 2, 10, 1, 1, 6, 6, 2, 2, 10, 10, 1, 1, 1, 10, 2, 1, 1, 6, 1, 1, 6, 1, 10, 6, 0, 1, 2, 2, 6, 6, 1, 10, 6, 6, 2, 6, 6, 6, 10, 1, 6, 6, 2, 6, 2, 6, 6, 10, 6, 1, 1, 10, 6, 2, 2, 6, 2, 6, 1, 6, 2, 1, 10, 1, 10, 6, 2, 10, 10, 6, 10, 9, 2, 10, 6, 2, 2, 1, 10, 10, 2, 1, 6, 1, 6, 10, 1, 2, 10, 6, 6, 10, 10, 2, 6, 1, 2, 10, 1, 6, 10, 1, 6, 10, 10, 2, 1, 6, 2, 2, 10, 2, 6, 10, 6, 2, 1, 1, 1, 1, 2, 10, 2, 6, 10, 1, 1, 2, 2, 1, 2, 2, 6, 6, 10, 10, 6, 1, 1, 10, 2, 2, 10, 6, 1, 2, 6, 4, 6, 10, 1, 2, 1, 8, 1, 6, 2, 2, 2, 1, 6, 2, 1, 1, 10, 10, 6, 1, 10, 6, 6, 2, 6, 6, 6, 2, 2, 2, 6, 1, 5, 2, 2, 6, 10, 2, 2, 6, 10, 6, 10, 6, 10, 10, 2, 10, 10, 10, 2, 1, 10, 2, 6, 1, 10, 10, 2, 2, 2, 2, 6, 6, 10, 2, 1, 10, 6, 10, 6, 6, 1, 10, 10, 1, 1, 6, 10, 6, 2, 6, 1, 6, 6, 6, 10, 2, 2, 2, 2, 1, 6, 6, 5, 1, 1, 10, 10, 2, 6, 1, 2, 2, 10, 10, 2, 2, 2, 2, 1, 1, 1, 6, 6, 10, 2, 1, 10, 6, 2, 1, 10, 6, 6, 2, 6, 2, 1, 10, 6, 5, 6, 10, 2, 2, 1, 1, 6, 2, 10, 2, 10, 1, 6, 6, 2, 6, 10, 2, 2, 2, 1, 1, 10, 10, 1, 1, 6, 6, 2, 10, 2, 9, 2, 1, 10, 2, 2, 6, 2, 6, 6, 2, 6, 6, 6, 1, 10, 2, 2, 2, 2, 10, 0, 10, 1, 1, 6, 1, 1, 1, 10, 2, 2, 6, 6, 10, 1, 1, 2, 10, 1, 1, 2, 10, 10, 6, 10, 1, 10, 2, 6, 6, 10, 1, 2, 2, 2, 6, 2, 6, 6, 9, 10, 10, 1, 2, 2, 10, 10, 2, 1, 1, 1, 6, 2, 10, 6, 10, 2, 1, 1, 1, 1, 6, 6, 1, 10, 2, 1, 6, 6, 2, 2, 10, 6, 2, 1, 1, 6, 10, 2, 6, 1, 6, 10, 1, 10, 2, 2, 1, 1, 10, 2, 10, 2, 2, 1, 6, 1, 2, 2, 2, 10, 6, 1, 6, 10, 2, 2, 1, 6, 0, 6, 10, 1, 6, 6, 2, 6, 0, 1, 1, 6, 2, 1, 10, 2, 2, 1, 1, 10, 2, 2, 2, 2, 1, 2, 6, 1, 2, 2, 2, 1, 6, 1, 6, 1, 10, 1, 2, 6, 1, 2, 10, 9, 2, 2, 2, 2, 6, 2, 10, 2, 1, 2, 1, 10, 6, 2, 6, 10, 2, 1, 10, 10, 6, 10, 0, 6, 6, 2, 10, 6, 10, 6, 6, 10, 10, 4, 10, 6, 2, 6, 1, 2, 1, 6, 2, 1, 6, 1, 10, 2, 10, 2, 1, 6, 2, 1, 2, 10, 2, 2, 6, 6, 2, 1, 6, 10, 10, 2, 1, 0, 10, 1, 6, 2, 9, 10, 10, 5, 10, 10, 10, 1, 10, 10, 6, 1, 9, 10, 1, 10, 10, 1, 10, 1, 6, 6, 10, 6, 10, 9, 10, 6, 6, 10, 10, 6, 50, 2, 6, 2, 2, 6, 6, 10, 1, 6, 2, 6, 2, 2, 2, 1, 1, 2, 1, 2, 10, 2, 6, 2, 2, 2, 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6, 6, 6, 6, 1, 2, 6, 10, 10, 10, 2, 2, 1, 2, 2, 2, 10, 5, 10, 1, 1, 1, 4, 10, 2, 6, 6, 6, 10, 1, 2, 2, 1, 1, 1, 1, 10, 1, 10, 6, 9, 10, 6, 1, 6, 6, 1, 1, 2, 2, 2, 6, 2, 4, 2, 6, 1, 6, 10, 1, 10, 6, 1, 1, 6, 1, 10, 9, 6, 1, 6, 2, 6, 2, 6, 6, 10, 10, 6, 6, 10, 1, 10, 4, 1, 6, 6, 1, 1, 6, 10, 10, 10, 6, 2, 10, 1, 2, 1, 1, 10, 2, 9, 2, 6, 2, 1, 1, 6, 6, 1, 2, 6, 2, 1, 2, 2, 1, 1, 10, 10, 10, 1, 2, 6, 2, 2, 6, 0, 1, 6, 10, 2, 10, 2, 1, 6, 10, 6, 6, 2, 1, 10, 6, 2, 2, 6, 9, 6, 10, 10, 1, 1, 6, 1, 1, 10, 2, 10, 9, 1, 1, 10, 1, 10, 10, 6, 1, 6, 0, 6, 2, 10, 1, 1, 2, 0, 10, 2, 6, 6, 10, 1, 10, 10, 6, 2, 6, 60, 10, 1, 2, 10, 10, 2, 10, 10, 6, 2, 6, 2, 6, 2, 2, 6, 10, 2, 1, 10, 6, 1, 10, 2, 6, 6, 10, 2, 1, 6, 10, 1, 1, 2, 1, 2, 1, 10, 5, 1, 1, 1, 2, 1, 2, 0, 10, 10, 6, 2, 6, 5, 6, 1, 2, 2, 1, 10, 2, 2, 1, 6, 2, 6, 2, 6, 1, 6, 2, 1, 2, 10, 10, 2, 10, 1, 1, 2, 6, 10, 1, 6, 6, 4, 10, 6, 6, 1, 2, 10, 10, 2, 10, 10, 1, 2, 10, 1, 2, 1, 2, 10, 2, 1, 6, 6, 10, 6, 10, 10, 10, 10, 6, 1, 2, 1, 10, 6, 10, 10, 2, 10, 2, 10, 6, 2, 2, 1, 6, 10, 1, 10, 6, 6, 10, 10, 1, 2, 2, 2, 2, 5, 6, 10, 2, 1, 10, 1, 1, 10, 6, 1, 10, 10, 10, 2, 1, 2, 1, 4, 1, 5, 2, 1, 10, 6, 1, 6, 1, 6, 2, 2, 10, 1, 2, 10, 2, 2, 6, 10, 10, 0, 10, 2, 6, 6, 1, 10, 2, 4, 6, 1, 2, 10, 10, 10, 2, 10, 2, 2, 1, 6, 2, 10, 6, 1, 6, 2, 2, 10, 1, 2, 10, 10, 6, 1, 1, 2, 6, 6, 2, 10, 2, 0, 10, 2, 2, 1, 1, 1, 6, 2, 1, 6, 2, 2, 10, 2, 2, 6, 1, 2, 2, 2, 2, 2, 6, 6, 9, 10, 5, 2, 10, 2, 10, 10, 6, 2, 6, 10, 6, 1, 5, 1, 2, 2, 10, 2, 1, 1, 1, 2, 10, 1, 10, 6, 6, 2, 6, 10, 10, 10, 10, 2, 2, 6, 10, 6, 1, 6, 5, 6, 6, 2, 0, 10, 6, 6, 1, 1, 2, 2, 10, 1, 6, 2, 10, 6, 2, 1, 2, 10, 10, 1, 9, 6, 6, 6, 10, 6, 2, 2, 2, 1, 6, 6, 2, 2, 0, 6, 1, 1, 2, 2, 2, 10, 1, 1, 10, 10, 10, 1, 10, 6, 6, 6, 6, 10, 6, 2, 2, 6, 1, 10, 1, 10, 6, 10, 10, 6, 10, 1, 1, 1, 2, 2, 1, 4, 4, 2, 6, 6, 6, 2, 9, 2, 1, 6, 9, 2, 10, 2, 6, 10, 10, 1, 1, 6, 2, 1, 10, 10, 1, 4, 1, 10, 6, 2, 10, 6, 2, 1, 1, 6, 10, 2, 0, 2, 2, 10, 6, 6, 1, 10, 2, 4, 10, 0, 10, 1, 6, 6, 2, 2, 6, 6, 5, 10, 1, 6, 2, 10, 9, 10, 10, 10, 1, 6, 2, 2, 2, 1, 6, 1, 10, 1, 10, 10, 10, 6, 1, 10, 1, 10, 10, 7, 6, 2, 10, 1, 1, 6, 6, 2, 5, 2, 2, 1, 2, 1, 0, 6, 2, 2, 1, 2, 2, 1, 10, 1, 10, 6, 1, 10, 1, 2, 5, 1, 10, 2, 2, 1, 10, 10, 6, 2, 2, 6, 0, 6, 6, 6, 10, 10, 6, 6, 10, 2, 1, 10, 1, 6, 6, 10, 2, 5, 1, 2, 1, 1, 10, 2, 6, 1, 2, 6, 2, 2, 10, 6, 6, 6, 10, 2, 6, 6, 2, 6, 1, 2, 2, 1, 4, 6, 6, 10, 1, 10, 1, 6, 1, 10, 9, 2, 10, 1, 1, 2, 2, 2, 6, 1, 3, 6, 1, 10, 10, 2, 6, 6, 2, 1, 0, 2, 10, 1, 6, 10, 6, 1, 10, 2, 10, 2, 6, 1, 10, 6, 1, 10, 1, 2, 2, 2, 2, 0, 1, 10, 1, 10, 10, 6, 0, 1, 6, 2, 6, 6, 10, 6, 4, 6, 6, 1, 6, 6, 2, 10, 2, 6, 6, 2, 6, 6, 10, 10, 1, 1, 0, 6, 6, 2, 1, 2, 5, 2, 2, 1, 6, 2, 6, 1, 1, 1, 2, 6, 10, 2, 6, 1, 10, 10, 10, 10, 1, 1, 6, 6, 6, 1, 6, 6, 1, 1, 10, 6, 2, 4, 1, 10, 10, 1, 2, 4, 2, 1, 10, 6, 1, 10, 10, 1, 1, 6, 2, 10, 0, 2, 10, 2, 6, 1, 10, 9, 1, 10, 6, 6, 6, 6, 6, 6, 6, 10, 10, 6, 2, 10, 2, 6, 10, 6, 6, 10, 1, 1, 2, 10, 6, 1, 1, 1, 10, 6, 2, 1, 1, 1, 10, 1, 10, 1, 10, 1, 1, 1, 10, 2, 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6, 6, 1, 0, 2, 6, 6, 1, 1, 1, 1, 10, 1, 6, 10, 1, 1, 2, 1, 10, 2, 10, 1, 10, 2, 2, 6, 6, 10, 10, 2, 10, 2, 10, 6, 2, 1, 10, 6, 6, 1, 6, 6, 6, 2, 2, 6, 1, 10, 1, 1, 1, 1, 6, 10, 10, 6, 10, 2, 10, 2, 10, 10, 1, 10, 2, 6, 6, 10, 10, 2, 2, 2, 10, 6, 1, 1, 6, 10, 1, 10, 6, 1, 10, 1, 1, 2, 10, 6, 1, 1, 6, 10, 6, 2, 1, 6, 1, 2, 10, 10, 10, 1, 10, 2, 2, 2, 1, 1, 1, 10, 6, 10, 10, 6, 6, 10, 6, 1, 10, 10, 6, 10, 6, 2, 10, 2, 6, 10, 1, 1, 2, 1, 6, 1, 10, 1, 1, 2, 1, 1, 10, 6, 6, 10, 10, 6, 10, 1, 6, 10, 1, 10, 10, 1, 1, 10, 2, 5, 2, 10, 6, 10, 10, 10, 1, 1, 1, 6, 2, 2, 2, 10, 6, 10, 6, 10, 2, 6, 10, 9, 1, 2, 2, 1, 10, 6, 10, 6, 6, 10, 6, 10, 1, 1, 2, 10, 6, 10, 6, 6, 10, 6, 1, 2, 10, 2, 1, 10, 2, 10, 10, 6, 10, 10, 2, 10, 2, 6, 6, 1, 2, 10, 10, 1, 10, 1, 10, 10, 6, 1, 6, 10, 3, 10, 10, 1, 1, 1, 6, 6, 1, 1, 2, 6, 6, 1, 2, 10, 10, 2, 10, 6, 6, 1, 4, 1, 1, 1, 1, 10, 10, 2, 10, 2, 10, 2, 6, 1, 10, 2, 6, 1, 1, 10, 2, 10, 2, 1, 10, 10, 6, 1, 1, 1, 6, 10, 10, 2, 6, 1, 6, 10, 6, 6, 6, 10, 2, 2, 1, 6, 4, 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6, 6, 10, 10, 2, 1, 1, 6, 6, 10, 10, 2, 1, 10, 6, 6, 10, 10, 6, 2, 6, 10, 10, 6, 2, 2, 10, 1, 6, 5, 6, 6, 6, 1, 6, 2, 8, 10, 2, 1, 10, 10, 6, 10, 2, 10, 1, 6, 10, 1, 2, 6, 6, 2, 1, 1, 6, 10, 10, 10, 1, 10, 40, 2, 10, 10, 6, 10, 1, 10, 10, 1, 10, 1, 6, 6, 2, 10, 6, 10, 2, 10, 2, 1, 6, 4, 10, 1, 2, 2, 2, 6, 1, 2, 10, 2, 10, 2, 0, 10, 6, 2, 10, 10, 6, 2, 10, 10, 10, 10, 1, 0, 2, 1, 6, 1, 10, 1, 1, 1, 2, 6, 1, 10, 2, 1, 2, 2, 10, 0, 10, 6, 1, 6, 6, 10, 2, 1, 2, 2, 2, 10, 6, 1, 2, 6, 1, 1, 2, 2, 6, 1, 2, 1, 6, 1, 6, 2, 6, 1, 1, 10, 10, 2, 10, 1, 1, 1, 2, 6, 1, 2, 9, 2, 10, 1, 1, 2, 10, 10, 10, 2, 5, 6, 1, 10, 1, 1, 10, 2, 10, 2, 6, 2, 2, 2, 6, 6, 10, 2, 10, 10, 10, 2, 10, 10, 6, 2, 1, 1, 10, 6, 1, 2, 10, 1, 6, 6, 1, 6, 1, 2, 6, 10, 6, 6, 10, 6, 10, 1, 1, 6, 1, 2, 10, 10, 10, 6, 1, 2, 1, 1, 6, 2, 1, 10, 1, 10, 1, 2, 10, 6, 2, 1, 1, 10, 2, 1, 1, 1, 10, 1, 1, 0, 2, 6, 6, 6, 1, 10, 6, 1, 1, 8, 80, 2, 2, 6, 2, 6, 2, 1, 6, 6, 9, 6, 6, 10, 10, 1, 1, 6, 10, 2, 10, 10, 2, 10, 6, 6, 10, 2, 2, 2, 6, 6, 2, 6, 0, 1, 10, 2, 10, 1, 10, 1, 10, 10, 10, 10, 1, 4, 10, 2, 2, 6, 10, 1, 2, 6, 10, 6, 1, 9, 2, 1, 2, 6, 2, 2, 2, 1, 10, 6, 6, 10, 1, 2, 5, 10, 10, 6, 6, 6, 1, 6, 2, 2, 1, 2, 1, 2, 6, 1, 2, 1, 10, 6, 10, 6, 1, 1, 1, 1, 1, 10, 10, 10, 6, 10, 6, 1, 1, 6, 2, 10, 10, 6, 10, 2, 2, 1, 2, 6, 1, 6, 2, 1, 1, 2, 2, 10, 6, 6, 1, 6, 2, 1, 10, 2, 10, 10, 2, 6, 10, 1, 2, 1, 6, 0, 5, 10, 6, 1, 6, 6, 6, 10, 6, 1, 6, 10, 6, 2, 2, 2, 10, 6, 2, 10, 2, 10, 1, 10, 10, 6, 1, 1, 1, 6, 2, 10, 1, 6, 2, 9, 5, 1, 2, 1, 10, 6, 10, 1, 2, 6, 10, 6, 6, 2, 10, 6, 6, 6, 6, 10, 6, 6, 2, 6, 2, 1, 6, 10, 6, 1, 2, 2, 6, 6, 1, 10, 2, 1, 2, 1, 2, 1, 1, 1, 6, 10, 10, 1, 1, 1, 6, 2, 6, 10, 10, 1, 10, 10, 2, 6, 10, 1, 6, 2, 1, 10, 6, 2, 2, 6, 2, 6, 1, 2, 1, 1, 6, 6, 6, 2, 10, 2, 2, 6, 6, 1, 1, 10, 6, 10, 10, 1, 6, 6, 10, 10, 10, 6, 10, 1, 1, 2, 0, 10, 9, 10, 10, 6, 4, 6, 1, 1, 6, 10, 1, 6, 2, 6, 10, 10, 6, 4, 10, 2, 1, 2, 10, 1, 1, 10, 6, 1, 6, 1, 1, 6, 6, 2, 2, 1, 10, 6, 6, 10, 2, 0, 10, 6, 2, 6, 6, 10, 2, 6, 10, 10, 1, 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6, 6, 2, 10, 1, 2, 2, 1, 2, 1, 2, 6, 2, 6, 5, 2, 10, 6, 6, 1, 1, 10, 10, 6, 2, 1, 1, 2, 10, 1, 10, 2, 1, 2, 2, 2, 2, 2, 6, 2, 1, 2, 1, 10, 10, 10, 6, 1, 10, 2, 10, 2, 1, 2, 1, 2, 10, 2, 1, 1, 1, 2, 2, 6, 2, 1, 6, 10, 6, 6, 6, 6, 2, 10, 1, 10, 10, 1, 10, 10, 10, 10, 6, 2, 10, 1, 1, 6, 10, 10, 6, 1, 10, 6, 1, 6, 6, 6, 6, 1, 2, 6, 1, 10, 4, 6, 2, 1, 6, 10, 2, 6, 1, 6, 1, 6, 10, 10, 10, 1, 4, 2, 2, 6, 2, 6, 6, 10, 2, 2, 10, 1, 9, 1, 10, 6, 2, 2, 1, 6, 6, 10, 2, 1, 10, 6, 6, 6, 1, 6, 10, 1, 1, 1, 10, 6, 10, 9, 10, 1, 2, 6, 2, 10, 2, 1, 6, 6, 6, 1, 1, 5, 10, 10, 1, 6, 10, 6, 6, 6, 10, 1, 6, 10, 1, 10, 6, 6, 6, 2, 2, 1, 2, 6, 2, 2, 2, 10, 1, 6, 4, 6, 2, 2, 6, 2, 2, 10, 6, 10, 1, 6, 6, 1, 10, 1, 1, 2, 1, 6, 2, 1, 10, 1, 10, 2, 2, 2, 6, 6, 1, 6, 10, 10, 2, 2, 2, 6, 2, 10, 10, 1, 2, 6, 1, 2, 6, 6, 10, 6, 10, 2, 10, 1, 10, 10, 10, 10, 10, 1, 1, 1, 2, 2, 1, 1, 6, 6, 1, 10, 6, 2, 2, 10, 1, 10, 2, 6, 10, 2, 6, 2, 6, 1, 10, 2, 10, 1, 2, 2, 2, 6, 1, 6, 1, 1, 6, 10, 1, 10, 10, 10, 2, 0, 2, 1, 2, 2, 6, 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10, 2, 10, 6, 6, 1, 10, 1, 6, 2, 1, 5, 10, 2, 1, 6, 2, 1, 10, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 6, 10, 1, 2, 1, 10, 10, 2, 2, 1, 6, 6, 1, 1, 10, 10, 4, 10, 10, 9, 1, 6, 1, 10, 10, 1, 1, 4, 1, 1, 1, 2, 1, 2, 2, 6, 10, 2, 1, 10, 6, 9, 2, 2, 1, 2, 6, 6, 2, 6, 10, 10, 6, 2, 10, 1, 6, 10, 6, 2, 6, 10, 10, 10, 2, 2, 2, 1, 1, 10, 10, 2, 4, 10, 10, 0, 10, 10, 2, 6, 2, 6, 1, 6, 1, 6, 10, 10, 10, 10, 10, 6, 2, 2, 10, 2, 6, 6, 2, 10, 6, 2, 10, 6, 8, 1, 1, 6, 1, 10, 1, 10, 10, 2, 1, 1, 10, 2, 1, 1, 9, 6, 2, 0, 1, 10, 2, 2, 1, 6, 6, 10, 5, 2, 6, 2, 1, 1, 10, 1, 1, 2, 6, 10, 10, 2, 2, 6, 2, 6, 6, 1, 6, 1, 6, 10, 1, 10, 2, 2, 10, 1, 2, 6, 1, 10, 4, 10, 6, 1, 2, 10, 10, 1, 1, 6, 6, 10, 1, 6, 10, 6, 1, 2, 1, 6, 2, 10, 1, 2, 6, 2, 10, 2, 2, 10, 6, 10, 2, 2, 5, 2, 1, 2, 1, 2, 10, 6, 6, 10, 2, 10, 10, 6, 2, 6, 1, 10, 10, 2, 2, 2, 1, 1, 0, 1, 10, 1, 6, 2, 1, 2, 6, 6, 10, 2, 6, 6, 1, 1, 5, 10, 2, 2, 0, 2, 6, 6, 5, 6, 1, 2, 10, 2, 1, 1, 2, 2, 6, 1, 10, 6, 10, 1, 6, 2, 1, 2, 6, 1, 10, 6, 1, 2, 2, 1, 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6, 1, 10, 4, 10, 10, 10, 2, 1, 10, 6, 6, 6, 1, 6, 6, 6, 1, 1, 10, 1, 2, 10, 1, 2, 1, 1, 6, 6, 2, 10, 6, 10, 2, 1, 2, 2, 6, 2, 2, 10, 6, 10, 2, 6, 10, 10, 10, 10, 1, 6, 1, 2, 10, 2, 6, 2, 1, 6, 6, 10, 10, 6, 10, 2, 1, 2, 6, 6, 10, 2, 6, 6, 2, 10, 6, 6, 2, 1, 6, 6, 10, 2, 2, 6, 2, 10, 6, 2, 10, 6, 6, 6, 10, 1, 1, 1, 2, 1, 6, 4, 10, 1, 2, 6, 2, 10, 2, 0, 2, 6, 6, 10, 9, 10, 1, 2, 10, 6, 10, 10, 2, 2, 10, 1, 10, 9, 0, 2, 1, 6, 6, 6, 10, 6, 6, 6, 10, 10, 6, 1, 6, 0, 2, 5, 2, 1, 10, 6, 1, 10, 2, 1, 2, 1, 6, 10, 10, 10, 10, 1, 2, 2, 1, 2, 1, 2, 10, 2, 2, 1, 1, 2, 1, 6, 10, 2, 2, 6, 6, 6, 6, 2, 6, 6, 2, 1, 2, 2, 2, 10, 1, 10, 2, 6, 2, 10, 10, 2, 1, 10, 2, 10, 10, 2, 1, 1, 6, 1, 2, 1, 1, 2, 1, 1, 10, 2, 10, 1, 2, 10, 10, 2, 2, 1, 6, 6, 1, 6, 1, 1, 1, 10, 2, 1, 6, 6, 1, 10, 5, 6, 10, 6, 10, 6, 1, 2, 1, 5, 2, 10, 2, 2, 2, 10, 6, 2, 1, 1, 6, 10, 10, 5, 10, 10, 2, 2, 1, 6, 1, 1, 6, 1, 6, 6, 6, 6, 10, 1, 1, 2, 1, 6, 10, 6, 2, 1, 6, 10, 6, 10, 1, 2, 10, 10, 10, 1, 2, 10, 2, 6, 10, 1, 10, 6, 6, 0, 2, 10, 1, 6, 6, 5, 1, 6, 1, 1, 10, 6, 9, 6, 10, 2, 1, 2, 10, 10, 10, 2, 10, 6, 10, 2, 10, 6, 1, 10, 2, 6, 6, 2, 1, 10, 1, 10, 5, 10, 10, 2, 6, 10, 6, 10, 2, 9, 2, 1, 6, 2, 1, 10, 1, 6, 1, 2, 10, 2, 2, 10, 10, 1, 10, 10, 10, 1, 1, 2, 2, 1, 10, 1, 10, 10, 1, 1, 6, 1, 1, 2, 10, 1, 2, 1, 10, 1, 1, 6, 2, 6, 1, 2, 2, 1, 1, 10, 1, 1, 6, 2, 10, 10, 6, 2, 6, 6, 6, 1, 1, 6, 6, 6, 6, 2, 1, 10, 1, 6, 1, 1, 10, 6, 10, 1, 1, 6, 2, 6, 10, 1, 10, 2, 10, 1, 1, 10, 1, 9, 6, 10, 2, 1, 6, 10, 1, 9, 1, 1, 10, 10, 6, 2, 1, 6, 1, 10, 10, 2, 2, 10, 10, 10, 2, 6, 10, 6, 2, 10, 2, 6, 10, 1, 2, 10, 2, 6, 10, 5, 2, 6, 6, 1, 2, 6, 6, 1, 5, 1, 2, 2, 2, 6, 6, 2, 1, 10, 10, 10, 2, 1, 1, 10, 2, 10, 6, 6, 1, 1, 2, 1, 1, 1, 2, 6, 2, 1, 1, 6, 2, 10, 5, 10, 10, 10, 6, 2, 6, 10, 6, 1, 1, 1, 10, 6, 2, 6, 4, 10, 6, 6, 10, 10, 2, 6, 6, 2, 2, 6, 1, 1, 1, 6, 2, 6, 1, 1, 5, 10, 1, 10, 1, 2, 6, 1, 2, 6, 10, 1, 1, 1, 10, 10, 1, 2, 10, 1, 10, 2, 10, 6, 10, 4, 10, 1, 10, 2, 10, 6, 9, 1, 10, 2, 10, 10, 6, 10, 1, 10, 2, 1, 10, 6, 6, 10, 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1, 6, 6, 1, 6, 6, 1, 1, 1, 1, 6, 6, 6, 2, 2, 2, 10, 10, 10, 10, 1, 10, 2, 10, 10, 2, 6, 10, 1, 1, 6, 1, 10, 1, 2, 1, 1, 10, 6, 6, 6, 1, 1, 10, 10, 5, 6, 1, 6, 6, 10, 1, 6, 10, 6, 6, 6, 10, 0, 4, 6, 6, 1, 2, 1, 1, 6, 10, 1, 10, 1, 10, 1, 6, 1, 6, 2, 10, 2, 6, 6, 10, 1, 2, 1, 10, 6, 1, 2, 6, 6, 6, 6, 1, 2, 6, 10, 10, 6, 2, 6, 6, 10, 6, 6, 2, 6, 1, 6, 1, 2, 10, 6, 1, 10, 5, 10, 2, 1, 1, 6, 6, 1, 1, 6, 10, 10, 1, 0, 10, 9, 1, 2, 10, 10, 6, 6, 2, 2, 6, 1, 6, 2, 1, 6, 1, 2, 6, 10, 10, 10, 1, 6, 6, 6, 10, 10, 6, 2, 2, 1, 6, 6, 6, 6, 6, 2, 10, 10, 10, 5, 2, 10, 6, 10, 2, 1, 10, 10, 2, 1, 1, 2, 10, 1, 2, 2, 2, 6, 1, 10, 2, 2, 6, 6, 2, 6, 6, 6, 10, 2, 2, 6, 6, 6, 6, 2, 2, 1, 1, 10, 10, 10, 1, 1, 1, 6, 2, 2, 1, 10, 6, 2, 2, 10, 2, 6, 2, 1, 6, 2, 2, 2, 6, 9, 1, 6, 1, 1, 2, 10, 1, 10, 10, 2, 1, 1, 1, 1, 1, 6, 10, 2, 2, 10, 6, 1, 6, 5, 2, 2, 2, 2, 2, 10, 1, 4, 10, 10, 1, 2, 10, 10, 2, 2, 2, 1, 10, 6, 1, 10, 6, 10, 1, 1, 2, 2, 6, 6, 2, 2, 10, 1, 2, 10, 2, 6, 60, 5, 6, 6, 1, 1, 10, 2, 6, 1, 2, 6, 10, 6, 2, 10, 10, 2, 2, 6, 2, 10, 1, 10, 6, 1, 6, 10, 10, 2, 6, 6, 10, 10, 6, 10, 1, 1, 6, 1, 1, 6, 2, 6, 6, 5, 1, 2, 2, 1, 2, 2, 5, 6, 9, 10, 10, 2, 10, 1, 5, 6, 2, 1, 10, 2, 6, 10, 2, 6, 6, 1, 2, 6, 2, 6, 6, 6, 2, 2, 10, 6, 10, 2, 2, 10, 1, 10, 2, 6, 2, 6, 10, 6, 6, 2, 9, 10, 6, 10, 2, 6, 1, 0, 1, 6, 6, 1, 2, 1, 1, 2, 10, 10, 2, 6, 1, 10, 1, 2, 1, 10, 0, 6, 5, 4, 1, 2, 6, 10, 10, 10, 6, 6, 2, 0, 6, 6, 10, 1, 6, 6, 6, 1, 2, 2, 10, 1, 2, 6, 1, 1, 1, 10, 6, 6, 10, 1, 2, 10, 2, 6, 6, 1, 10, 10, 6, 2, 10, 2, 2, 6, 6, 6, 1, 2, 10, 2, 6, 2, 2, 1, 6, 1, 6, 1, 10, 10, 6, 2, 1, 10, 10, 10, 5, 1, 10, 10, 2, 6, 2, 2, 10, 6, 6, 10, 10, 10, 1, 6, 2, 10, 2, 1, 2, 10, 2, 6, 1, 6, 6, 1, 2, 1, 1, 10, 1, 6, 6, 6, 6, 1, 6, 9, 2, 10, 2, 10, 10, 10, 6, 1, 1, 1, 1, 6, 10, 2, 10, 6, 2, 2, 2, 1, 6, 2, 2, 6, 10, 6, 6, 2, 10, 1, 6, 10, 2, 6, 1, 2, 1, 2, 6, 6, 6, 1, 10, 4, 6, 10, 6, 1, 1, 2, 2, 2, 0, 6, 2, 9, 1, 10, 10, 6, 1, 2, 6, 2, 6, 1, 10, 10, 1, 6, 10, 1, 1, 6, 6, 6, 6, 6, 10, 6, 1, 10, 10, 6, 6, 10, 10, 1, 1, 2, 10, 6, 1, 2, 1, 6, 2, 1, 1, 2, 10, 6, 10, 9, 10, 10, 2, 6, 1, 2, 10, 2, 10, 10, 2, 2, 6, 1, 1, 10, 1, 6, 1, 1, 1, 1, 6, 1, 10, 6, 6, 10, 10, 6, 2, 2, 6, 2, 2, 1, 6, 10, 1, 6, 10, 1, 1, 6, 6, 1, 1, 1, 1, 2, 6, 1, 2, 6, 2, 1, 2, 10, 10, 2, 1, 1, 1, 6, 2, 6, 2, 10, 2, 10, 1, 2, 10, 1, 2, 6, 10, 6, 1, 6, 1, 1, 10, 1, 10, 10, 1, 1, 6, 2, 10, 0, 1, 10, 2, 0, 2, 10, 2, 1, 1, 2, 10, 6, 2, 2, 10, 2, 2, 1, 10, 6, 1, 2, 10, 10, 2, 10, 2, 2, 1, 1, 10, 1, 2, 9, 1, 10, 6, 10, 10, 10, 1, 1, 1, 1, 2, 1, 1, 2, 10, 10, 1, 6, 10, 1, 2, 10, 10, 2, 9, 2, 6, 2, 6, 10, 1, 10, 10, 10, 10, 1, 2, 1, 10, 6, 10, 1, 1, 1, 2, 6, 1, 2, 10, 6, 10, 1, 2, 6, 10, 2, 10, 1, 1, 1, 1, 6, 1, 1, 2, 1, 6, 2, 1, 6, 1, 2, 6, 2, 10, 6, 6, 10, 10, 10, 1, 1, 10, 1, 1, 5, 1, 1, 2, 2, 2, 10, 10, 6, 6, 2, 2, 6, 10, 2, 1, 1, 1, 6, 6, 10, 10, 10, 6, 6, 0, 2, 2, 6, 2, 2, 1, 6, 2, 6, 5, 2, 6, 10, 2, 2, 2, 6, 10, 10, 6, 2, 2, 6, 6, 10, 6, 10, 10, 2, 6, 10, 1, 10, 1, 10, 10, 10, 10, 6, 2, 6, 6, 6, 10, 10, 2, 10, 2, 2, 1, 6, 1, 2, 6, 6, 2, 6, 10, 10, 10, 2, 2, 2, 6, 10, 6, 10, 1, 2, 10, 2, 6, 2, 1, 2, 2, 2, 6, 10, 6, 10, 1, 1, 6, 10, 10, 10, 6, 2, 2, 2, 2, 2, 6, 10, 1, 2, 2, 1, 2, 6, 1, 2, 10, 10, 10, 2, 6, 2, 1, 6, 10, 1, 2, 1, 6, 2, 2, 2, 6, 1, 2, 6, 1, 6, 1, 1, 6, 2, 1, 1, 2, 10, 1, 1, 1, 1, 2, 10, 2, 1, 1, 2, 1, 10, 6, 6, 6, 2, 1, 6, 10, 6, 1, 6, 6, 10, 6, 6, 1, 2, 6, 6, 1, 1, 1, 6, 2, 2, 1, 1, 6, 1, 6, 6, 1, 2, 5, 6, 6, 1, 10, 6, 1, 6, 3, 6, 1, 2, 10, 2, 10, 6, 2, 6, 1, 6, 6, 2, 1, 6, 1, 1, 0, 10, 6, 10, 2, 6, 10, 1, 2, 6, 2, 1, 6, 2, 2, 6, 4, 6, 6, 6, 2, 6, 2, 10, 10, 10, 6, 6, 10, 6, 6, 1, 6, 10, 10, 2, 1, 6, 10, 6, 10, 50, 1, 1, 2, 10, 10, 10, 1, 2, 6, 0, 6, 1, 2, 1, 10, 1, 1, 6, 6, 10, 4, 10, 1, 10, 10, 2, 2, 1, 1, 6, 2, 1, 2, 10, 1, 10, 2, 5, 4, 2, 10, 1, 1, 9, 2, 1, 2, 6, 1, 6, 2, 1, 0, 2, 1, 10, 10, 6, 10, 10, 10, 1, 10, 6, 2, 10, 2, 1, 2, 6, 10, 1, 1, 2, 2, 6, 6, 1, 10, 9, 10, 1, 2, 1, 6, 1, 10, 2, 1, 10, 10, 1, 1, 2, 1, 10, 0, 2, 6, 1, 2, 1, 1, 10, 10, 1, 2, 10, 10, 1, 6, 6, 6, 2, 2, 2, 6, 2, 6, 2, 10, 2, 1, 10, 1, 2, 1, 6, 2, 1, 2, 1, 2, 10, 10, 2, 2, 10, 10, 10, 10, 2, 2, 6, 1, 1, 10, 10, 1, 10, 10, 10, 10, 1, 1, 4, 6, 10, 10, 10, 1, 6, 1, 1, 1, 10, 1, 0, 6, 10, 2, 2, 6, 6, 6, 6, 10, 6, 2, 2, 1, 6, 2, 2, 6, 10, 2, 6, 10, 10, 6, 6, 4, 6, 10, 6, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 6, 6, 1, 1, 2, 1, 6, 1, 10, 2, 1, 4, 10, 10, 2, 1, 6, 1, 10, 6, 10, 10, 2, 1, 1, 6, 1, 10, 10, 2, 1, 10, 1, 10, 6, 6, 2, 2, 6, 2, 2, 1, 6, 1, 2, 2, 10, 2, 10, 1, 6, 10, 1, 1, 2, 6, 1, 2, 2, 1, 10, 1, 6, 6, 6, 10, 10, 10, 1, 10, 10, 9, 1, 6, 1, 1, 10, 10, 10, 6, 6, 2, 10, 10, 1, 1, 6, 6, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 6, 2, 2, 2, 6, 2, 1, 10, 1, 1, 6, 6, 6, 1, 10, 4, 1, 2, 10, 1, 1, 1, 1, 1, 10, 1, 10, 6, 10, 10, 10, 10, 2, 6, 6, 10, 1, 6, 6, 10, 1, 10, 1, 10, 1, 6, 10, 10, 6, 1, 10, 1, 10, 6, 1, 2, 1, 2, 6, 10, 2, 6, 1, 1, 1, 6, 6, 1, 1, 6, 6, 10, 1, 1, 2, 2, 2, 6, 6, 1, 1, 6, 2, 1, 1, 2, 2, 2, 1, 10, 10, 4, 2, 1, 6, 1, 6, 6, 6, 2, 1, 2, 10, 6, 10, 2, 5, 6, 4, 6, 2, 6, 1, 1, 6, 10, 2, 6, 10, 2, 1, 5, 10, 10, 2, 10, 10, 1, 1, 40, 2, 10, 10, 10, 2, 6, 1, 2, 1, 10, 10, 1, 6, 1, 2, 6, 2, 10, 1, 10, 2, 1, 10, 2, 2, 2, 10, 1, 10, 2, 2, 1, 10, 6, 2, 6, 6, 1, 1, 2, 1, 2, 2, 1, 6, 1, 1, 10, 1, 6, 2, 1, 2, 10, 6, 2, 6, 2, 2, 2, 1, 2, 10, 1, 2, 10, 10, 6, 10, 10, 10, 2, 1, 6, 1, 4, 1, 2, 10, 1, 1, 6, 10, 10, 10, 6, 2, 1, 6, 1, 6, 6, 10, 10, 1, 2, 2, 2, 6, 10, 10, 2, 2, 1, 6, 9, 10, 2, 2, 2, 6, 2, 10, 10, 10, 9, 10, 6, 10, 2, 2, 6, 10, 10, 6, 10, 10, 2, 2, 2, 1, 6, 10, 1, 1, 1, 6, 10, 9, 1, 10, 10, 2, 1, 10, 6, 2, 2, 10, 1, 6, 1, 2, 6, 10, 1, 1, 10, 1, 10, 2, 1, 10, 1, 6, 6, 6, 1, 1, 6, 10, 1, 1, 6, 1, 1, 6, 10, 1, 2, 1, 10, 10, 2, 2, 1, 10, 6, 2, 2, 10, 6, 1, 2, 2, 6, 10, 10, 10, 6, 10, 6, 6, 1, 10, 6, 1, 1, 10, 10, 2, 2, 2, 10, 2, 2, 6, 10, 2, 6, 2, 10, 2, 6, 10, 2, 2, 10, 6, 10, 6, 1, 2, 10, 6, 2, 10, 2, 1, 10, 1, 2, 10, 6, 2, 6, 1, 6, 6, 6, 10, 2, 10, 2, 6, 2, 1, 10, 1, 10, 2, 6, 6, 6, 2, 6, 2, 6, 9, 10, 10, 2, 10, 6, 6, 2, 6, 10, 10, 6, 1, 10, 1, 1, 1, 1, 1, 1, 5, 2, 1, 1, 1, 1, 2, 2, 6, 1, 6, 6, 2, 1, 10, 10, 2, 1, 1, 10, 6, 6, 10, 10, 6, 2, 2, 2, 1, 10, 2, 1, 6, 6, 6, 10, 2, 1, 1, 6, 0, 6, 2, 10, 2, 2, 6, 10, 2, 10, 1, 6, 2, 6, 2, 1, 10, 2, 1, 1, 1, 2, 1, 10, 1, 10, 10, 2, 2, 6, 6, 1, 6, 9, 1, 2, 1, 2, 2, 10, 2, 2, 10, 6, 1, 1, 6, 6, 10, 10, 2, 10, 6, 10, 10, 1, 2, 1, 10, 1, 2, 1, 10, 0, 1, 1, 6, 6, 6, 2, 1, 9, 6, 10, 2, 1, 6, 6, 1, 10, 1, 6, 10, 10, 10, 6, 0, 10, 10, 1, 10, 1, 10, 10, 1, 2, 1, 2, 10, 1, 2, 10, 10, 10, 2, 6, 10, 2, 2, 10, 6, 1, 6, 1, 2, 6, 10, 6, 6, 2, 6, 6, 1, 2, 1, 9, 10, 10, 2, 2, 10, 2, 1, 6, 2, 2, 2, 1, 6, 1, 1, 1, 1, 1, 6, 10, 2, 2, 1, 10, 2, 1, 10, 2, 1, 6, 10, 1, 10, 1, 1, 6, 1, 1, 2, 10, 2, 10, 6, 6, 6, 1, 5, 6, 2, 1, 2, 9, 1, 10, 1, 6, 2, 10, 2, 10, 6, 1, 1, 10, 2, 6, 10, 10, 6, 2, 10, 10, 10, 1, 6, 2, 1, 2, 4, 10, 6, 2, 2, 10, 1, 1, 10, 9, 1, 10, 6, 1, 10, 1, 10, 1, 6, 6, 1, 6, 2, 2, 6, 2, 6, 10, 1, 10, 10, 2, 10, 6, 6, 2, 10, 2, 2, 6, 10, 1, 2, 2, 1, 1, 2, 10, 2, 10, 2, 1, 6, 10, 10, 2, 1, 2, 2, 6, 2, 6, 1, 10, 10, 6, 1, 6, 10, 0, 2, 1, 1, 4, 2, 1, 1, 6, 2, 10, 1, 6, 2, 6, 1, 2, 10, 6, 9, 2, 1, 10, 2, 1, 2, 2, 6, 1, 10, 2, 10, 10, 2, 10, 6, 6, 2, 6, 10, 1, 1, 2, 6, 6, 6, 6, 10, 10, 9, 10, 2, 1, 1, 6, 2, 1, 2, 10, 2, 6, 2, 4, 2, 6, 10, 10, 10, 10, 6, 2, 6, 1, 1, 10, 10, 1, 6, 10, 1, 2, 2, 1, 2, 10, 2, 10, 6, 2, 6, 6, 10, 2, 1, 2, 1, 2, 2, 2, 2, 2, 6, 6, 10, 2, 1, 1, 1, 2, 1, 10, 6, 1, 6, 6, 10, 2, 10, 10, 10, 10, 2, 10, 10, 6, 10, 10, 9, 2, 10, 1, 6, 6, 10, 10, 2, 10, 1, 2, 2, 1, 6, 2, 10, 1, 10, 2, 4, 1, 10, 2, 1, 10, 10, 1, 9, 2, 6, 10, 10, 6, 1, 10, 10, 1, 1, 2, 10, 10, 1, 1, 1, 6, 6, 2, 6, 2, 6, 2, 1, 1, 2, 10, 6, 1, 2, 2, 10, 6, 10, 10, 6, 2, 1, 10, 2, 1, 1, 6, 10, 1, 2, 4, 2, 2, 10, 2, 10, 2, 2, 10, 6, 6, 6, 1, 2, 2, 10, 1, 10, 1, 6, 1, 2, 1, 10, 6, 1, 10, 1, 1, 1, 10, 10, 9, 10, 1, 2, 6, 1, 2, 2, 10, 2, 2, 10, 10, 1, 1, 2, 2, 2, 1, 6, 2, 1, 2, 2, 5, 10, 10, 10, 2, 6, 10, 5, 1, 1, 1, 2, 10, 2, 10, 1, 1, 10, 10, 10, 10, 10, 2, 10, 10, 2, 2, 2, 1, 10, 6, 6, 10, 1, 10, 10, 10, 2, 2, 10, 2, 6, 2, 1, 6, 1, 10, 10, 1, 2, 1, 6, 2, 6, 2, 6, 6, 10, 2, 10, 1, 1, 6, 1, 1, 10, 6, 6, 0, 6, 1, 2, 1, 2, 2, 10, 1, 1, 10, 6, 2, 2, 6, 2, 6, 10, 6, 10, 10, 6, 6, 2, 10, 2, 1, 1, 6, 1, 6, 6, 1, 2, 10, 6, 2, 6, 10, 2, 1, 2, 6, 6, 10, 2, 10, 6, 1, 2, 10, 2, 6, 10, 1, 2, 10, 6, 10, 2, 2, 4, 6, 6, 6, 2, 1, 2, 2, 2, 2, 10, 2, 2, 2, 1, 6, 6, 1, 6, 6, 10, 2, 10, 2, 1, 2, 6, 1, 6, 1, 1, 6, 10, 6, 10, 6, 6, 2, 2, 1, 1, 2, 2, 2, 2, 6, 6, 6, 1, 10, 1, 6, 1, 6, 6, 10, 10, 0, 1, 2, 6, 2, 2, 5, 2, 10, 1, 5, 6, 4, 2, 10, 10, 1, 6, 2, 1, 1, 2, 1, 10, 2, 6, 4, 10, 1, 2, 2, 6, 10, 1, 10, 10, 10, 6, 9, 1, 10, 1, 6, 10, 5, 10, 2, 10, 2, 2, 10, 2, 2, 1, 10, 2, 10, 10, 2, 2, 10, 1, 6, 0, 6, 2, 10, 10, 1, 1, 2, 6, 6, 1, 1, 1, 10, 6, 10, 2, 10, 6, 6, 6, 2, 1, 6, 1, 10, 10, 10, 1, 1, 6, 1, 2, 1, 10, 2, 2, 6, 1, 1, 2, 2, 10, 10, 2, 2, 1, 6, 2, 2, 2, 2, 2, 10, 1, 6, 1, 1, 2, 10, 1, 10, 2, 10, 10, 1, 1, 10, 10, 10, 10, 10, 6, 10, 10, 10, 6, 2, 10, 6, 1, 1, 5, 2, 2, 2, 1, 2, 2, 6, 6, 1, 2, 2, 10, 1, 1, 6, 2, 6, 10, 1, 10, 1, 1, 10, 10, 1, 1, 0, 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10, 10, 1, 1, 10, 2, 6, 1, 2, 2, 10, 2, 6, 10, 2, 1, 6, 2, 5, 10, 6, 6, 6, 1, 2, 10, 6, 1, 6, 2, 1, 2, 2, 10, 1, 2, 1, 10, 2, 10, 10, 2, 6, 6, 1, 2, 10, 6, 1, 10, 6, 2, 6, 1, 6, 6, 6, 6, 1, 6, 2, 1, 2, 10, 2, 10, 6, 1, 6, 6, 2, 1, 2, 1, 2, 1, 1, 10, 10, 6, 2, 1, 10, 2, 1, 1, 10, 1, 6, 6, 2, 1, 2, 1, 9, 10, 6, 6, 10, 10, 10, 1, 6, 10, 1, 6, 10, 6, 1, 1, 2, 10, 10, 2, 10, 2, 10, 6, 1, 10, 2, 1, 2, 10, 2, 2, 10, 6, 1, 2, 6, 10, 2, 1, 10, 10, 1, 6, 1, 2, 1, 6, 6, 2, 6, 6, 1, 1, 2, 1, 1, 1, 6, 1, 6, 6, 9, 10, 1, 1, 2, 1, 1, 4, 10, 2, 2, 2, 1, 10, 1, 6, 2, 6, 10, 10, 6, 10, 10, 2, 10, 6, 10, 2, 10, 6, 1, 6, 1, 6, 2, 10, 6, 1, 2, 1, 10, 10, 1, 6, 6, 10, 10, 2, 10, 6, 10, 2, 6, 2, 6, 6, 2, 2, 6, 10, 10, 1, 10, 10, 6, 6, 2, 6, 2, 6, 1, 1, 2, 1, 10, 6, 10, 2, 10, 1, 1, 2, 2, 2, 2, 6, 2, 10, 1, 10, 2, 1, 10, 10, 1, 1, 6, 1, 1, 6, 1, 6, 2, 10, 6, 10, 10, 6, 6, 10, 6, 0, 10, 2, 10, 10, 0, 2, 1, 2, 6, 2, 10, 4, 1, 2, 2, 10, 2, 10, 1, 2, 2, 2, 10, 10, 1, 2, 2, 1, 2, 1, 6, 2, 2, 10, 1, 10, 10, 2, 1, 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6, 6, 2, 1, 10, 10, 2, 1, 1, 2, 6, 6, 2, 6, 2, 10, 6, 10, 6, 6, 6, 2, 10, 2, 6, 6, 6, 10, 6, 10, 2, 2, 10, 2, 2, 2, 1, 1, 5, 1, 10, 1, 1, 10, 6, 1, 2, 10, 10, 10, 2, 1, 1, 2, 1, 1, 2, 1, 10, 6, 2, 2, 2, 1, 1, 6, 2, 10, 10, 2, 0, 10, 2, 10, 10, 10, 2, 6, 10, 2, 10, 2, 2, 1, 6, 6, 1, 2, 2, 6, 1, 1, 6, 10, 2, 6, 10, 2, 10, 10, 6, 1, 2, 10, 2, 10, 2, 10, 2, 10, 2, 1, 10, 10, 9, 2, 2, 2, 2, 1, 6, 6, 6, 10, 2, 2, 6, 1, 1, 2, 1, 6, 1, 10, 1, 1, 9, 10, 1, 1, 6, 2, 6, 6, 1, 1, 1, 2, 6, 6, 2, 6, 6, 6, 2, 1, 6, 6, 10, 6, 1, 6, 6, 1, 6, 6, 10, 1, 6, 6, 10, 10, 2, 1, 1, 10, 10, 1, 6, 10, 6, 6, 6, 10, 6, 2, 6, 10, 1, 10, 6, 10, 1, 2, 1, 1, 1, 2, 6, 4, 2, 4, 6, 10, 6, 10, 10, 2, 6, 1, 1, 1, 1, 1, 2, 1, 2, 10, 6, 6, 2, 6, 10, 6, 6, 10, 10, 10, 10, 2, 6, 10, 6, 1, 2, 1, 2, 6, 10, 6, 1, 10, 10, 10, 6, 1, 10, 6, 6, 10, 2, 9, 1, 1, 2, 9, 10, 10, 6, 6, 10, 1, 10, 1, 10, 10, 6, 6, 6, 10, 2, 2, 6, 5, 10, 10, 6, 1, 6, 1, 2, 6, 2, 2, 1, 2, 6, 6, 0, 1, 10, 6, 10, 10, 0, 2, 10, 6, 10, 1, 6, 10, 1, 10, 1, 1, 2, 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10, 2, 10, 6, 6, 6, 2, 2, 9, 2, 0, 6, 1, 6, 2, 10, 1, 1, 6, 10, 10, 2, 1, 1, 2, 6, 10, 0, 6, 6, 2, 1, 2, 2, 6, 10, 6, 2, 10, 6, 1, 10, 2, 10, 1, 6, 1, 10, 10, 6, 6, 6, 1, 10, 2, 2, 2, 4, 6, 2, 2, 10, 10, 2, 6, 2, 1, 6, 1, 2, 6, 9, 6, 6, 10, 2, 6, 10, 10, 10, 10, 1, 1, 10, 4, 5, 6, 10, 1, 2, 1, 2, 6, 6, 1, 6, 6, 1, 5, 10, 10, 10, 1, 6, 10, 9, 1, 1, 10, 6, 6, 10, 1, 1, 6, 10, 10, 2, 2, 6, 10, 0, 2, 10, 1, 6, 9, 2, 0, 10, 2, 10, 10, 10, 1, 1, 2, 6, 10, 10, 1, 1, 2, 10, 10, 2, 10, 6, 2, 2, 6, 2, 6, 6, 9, 6, 6, 2, 1, 1, 1, 10, 10, 10, 10, 1, 2, 2, 1, 1, 2, 2, 1, 6, 1, 1, 10, 2, 6, 10, 6, 10, 5, 2, 1, 10, 6, 10, 10, 10, 1, 2, 10, 2, 2, 2, 1, 10, 1, 2, 1, 10, 2, 9, 1, 1, 2, 2, 1, 1, 5, 1, 1, 10, 1, 2, 9, 10, 2, 2, 2, 6, 2, 6, 10, 10, 10, 2, 1, 10, 10, 2, 2, 1, 6, 1, 9, 6, 6, 6, 6, 2, 10, 1, 6, 2, 10, 10, 1, 6, 10, 6, 2, 10, 1, 6, 1, 2, 10, 2, 6, 6, 2, 1, 2, 2, 10, 1, 2, 1, 2, 10, 10, 6, 6, 2, 6, 10, 6, 4, 2, 10, 1, 10, 6, 2, 6, 1, 1, 6, 10, 1, 10, 1, 1, 10, 2, 1, 6, 6, 1, 2, 2, 6, 2, 2, 6, 6, 4, 1, 2, 6, 6, 2, 6, 1, 1, 10, 1, 6, 6, 10, 2, 10, 2, 1, 1, 6, 2, 10, 6, 1, 2, 2, 1, 6, 10, 1, 1, 10, 6, 1, 1, 6, 6, 1, 1, 10, 2, 1, 2, 10, 6, 1, 2, 10, 1, 1, 10, 6, 1, 1, 1, 6, 10, 2, 4, 2, 10, 1, 6, 6, 1, 2, 10, 6, 1, 10, 10, 5, 1, 1, 10, 1, 5, 1, 1, 5, 6, 6, 6, 6, 1, 10, 2, 10, 2, 1, 6, 6, 1, 10, 6, 2, 2, 6, 6, 10, 2, 10, 6, 6, 6, 6, 1, 10, 6, 1, 10, 2, 6, 6, 2, 10, 1, 6, 1, 2, 1, 2, 2, 2, 6, 10, 1, 2, 1, 1, 6, 6, 2, 10, 10, 2, 2, 2, 2, 1, 6, 2, 1, 1, 2, 2, 1, 2, 2, 1, 9, 1, 10, 6, 10, 10, 6, 6, 1, 2, 1, 9, 1, 10, 2, 6, 10, 1, 2, 2, 6, 2, 2, 2, 10, 1, 6, 1, 1, 1, 6, 10, 2, 1, 10, 6, 6, 1, 6, 1, 10, 2, 1, 1, 2, 6, 1, 1, 6, 60, 10, 6, 10, 5, 9, 1, 1, 2, 1, 10, 1, 2, 1, 6, 1, 10, 1, 6, 2, 0, 6, 6, 1, 6, 10, 10, 10, 2, 10, 6, 1, 6, 1, 1, 6, 10, 1, 6, 2, 2, 10, 6, 1, 2, 1, 6, 0, 10, 2, 6, 6, 2, 10, 4, 2, 2, 1, 6, 2, 10, 1, 1, 6, 10, 2, 1, 1, 6, 1, 6, 1, 2, 2, 1, 6, 2, 1, 1, 6, 6, 10, 6, 10, 6, 2, 2, 9, 1, 1, 10, 6, 4, 10, 1, 1, 1, 10, 6, 2, 6, 6, 10, 1, 2, 5, 2, 2, 1, 1, 6, 1, 6, 1, 9, 6, 10, 2, 10, 2, 1, 2, 2, 10, 10, 6, 10, 6, 1, 1, 6, 10, 1, 6, 10, 1, 10, 10, 1, 6, 6, 10, 1, 0, 1, 10, 1, 2, 1, 10, 1, 2, 2, 6, 2, 6, 1, 6, 10, 2, 10, 1, 6, 10, 10, 2, 6, 6, 2, 1, 10, 10, 10, 6, 10, 6, 10, 2, 2, 1, 6, 6, 10, 2, 10, 10, 1, 1, 1, 10, 0, 10, 10, 10, 10, 2, 1, 1, 1, 2, 1, 10, 6, 6, 6, 10, 10, 6, 6, 10, 6, 4, 6, 2, 1, 6, 1, 2, 1, 6, 1, 6, 1, 10, 10, 0, 1, 6, 1, 1, 1, 1, 2, 1, 6, 6, 2, 1, 6, 1, 1, 1, 1, 6, 6, 6, 6, 10, 6, 10, 10, 1, 10, 2, 10, 1, 10, 2, 6, 2, 6, 6, 6, 2, 10, 10, 6, 6, 2, 1, 1, 2, 10, 6, 2, 2, 6, 2, 2, 6, 10, 6, 5, 2, 6, 6, 10, 2, 2, 1, 1, 2, 2, 10, 10, 2, 10, 6, 6, 2, 10, 6, 6, 1, 10, 2, 6, 6, 2, 1, 6, 5, 2, 1, 10, 1, 10, 1, 2, 6, 6, 1, 1, 6, 6, 1, 2, 10, 2, 4, 10, 6, 6, 1, 6, 4, 2, 10, 6, 6, 10, 6, 1, 2, 2, 6, 6, 1, 6, 1, 1, 10, 10, 6, 1, 9, 10, 10, 6, 1, 1, 6, 6, 10, 2, 4, 10, 1, 6, 1, 2, 10, 10, 1, 6, 10, 10, 1, 2, 2, 10, 6, 10, 9, 1, 6, 10, 10, 2, 6, 6, 6, 2, 2, 1, 1, 2, 1, 2, 1, 10, 1, 6, 10, 2, 10, 6, 1, 1, 6, 2, 2, 6, 2, 0, 1, 1, 10, 1, 10, 1, 10, 10, 6, 6, 1, 1, 1, 6, 1, 6, 2, 1, 6, 1, 1, 1, 6, 1, 6, 2, 10, 1, 2, 6, 10, 10, 1, 1, 2, 10, 6, 6, 2, 6, 6, 60, 6, 6, 2, 6, 6, 2, 6, 2, 6, 2, 10, 10, 1, 1, 10, 1, 6, 6, 6, 2, 7, 6, 1, 1, 2, 2, 6, 1, 6, 10, 6, 2, 2, 10, 6, 6, 6, 10, 1, 2, 10, 10, 10, 6, 6, 1, 1, 2, 1, 2, 6, 10, 2, 10, 10, 6, 10, 2, 6, 0, 9, 10, 10, 6, 10, 1, 6, 10, 4, 10, 10, 1, 2, 2, 1, 10, 6, 1, 10, 6, 0, 2, 6, 10, 2, 5, 6, 10, 10, 10, 6, 2, 2, 2, 10, 4, 1, 2, 10, 2, 1, 9, 6, 1, 1, 2, 1, 1, 10, 2, 2, 10, 2, 2, 6, 2, 1, 6, 1, 1, 6, 1, 10, 1, 1, 2, 10, 10, 2, 2, 10, 6, 2, 9, 2, 1, 1, 10, 6, 1, 10, 10, 10, 1, 2, 10, 1, 10, 6, 2, 10, 2, 10, 1, 2, 6, 2, 10, 1, 2, 6, 1, 1, 1, 1, 1, 2, 2, 5, 1, 2, 6, 2, 6, 6, 10, 2, 6, 10, 10, 2, 6, 6, 2, 2, 1, 10, 2, 1, 1, 2, 1, 2, 2, 6, 10, 10, 2, 10, 1, 6, 2, 2, 10, 2, 1, 10, 1, 1, 10, 4, 2, 1, 10, 10, 1, 10, 2, 10, 2, 6, 2, 10, 10, 2, 1, 10, 6, 6, 2, 1, 1, 6, 2, 2, 6, 6, 2, 6, 6, 1, 5, 2, 6, 6, 1, 1, 10, 1, 2, 10, 2, 6, 6, 2, 0, 10, 6, 10, 1, 1, 10, 2, 10, 2, 2, 2, 10, 10, 10, 5, 1, 9, 1, 10, 1, 10, 1, 2, 10, 10, 2, 2, 6, 2, 6, 5, 2, 10, 2, 6, 1, 10, 10, 6, 2, 2, 2, 1, 6, 2, 1, 6, 10, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 10, 6, 1, 1, 6, 10, 1, 5, 0, 1, 6, 2, 7, 2, 10, 2, 10, 2, 1, 1, 6, 6, 2, 10, 1, 6, 6, 2, 10, 10, 10, 10, 6, 6, 10, 1, 2, 6, 6, 10, 10, 1, 1, 6, 1, 1, 10, 1, 6, 1, 1, 2, 6, 6, 6, 2, 1, 10, 10, 1, 2, 6, 2, 6, 2, 6, 6, 10, 10, 6, 1, 1, 6, 6, 2, 10, 2, 6, 10, 1, 1, 2, 6, 10, 10, 6, 1, 2, 2, 10, 1, 6, 1, 6, 1, 6, 1, 6, 1, 1, 10, 10, 1, 6, 2, 1, 2, 2, 1, 2, 5, 10, 1, 10, 2, 4, 6, 1, 1, 6, 6, 2, 2, 2, 2, 10, 2, 10, 6, 2, 6, 1, 1, 10, 1, 1, 10, 6, 6, 10, 2, 1, 10, 10, 10, 1, 10, 1, 2, 10, 6, 2, 10, 1, 1, 2, 1, 10, 2, 1, 2, 10, 2, 6, 1, 10, 2, 6, 2, 10, 2, 2, 10, 6, 1, 6, 6, 1, 6, 6, 10, 10, 4, 2, 10, 2, 10, 1, 1, 6, 2, 6, 10, 1, 10, 2, 10, 1, 1, 1, 2, 9, 6, 2, 2, 2, 2, 6, 2, 10, 10, 10, 2, 1, 10, 1, 1, 1, 10, 10, 2, 2, 2, 10, 2, 2, 1, 2, 10, 1, 10, 2, 10, 1, 6, 2, 6, 0, 6, 6, 2, 10, 2, 1, 2, 2, 10, 6, 6, 1, 6, 6, 2, 10, 2, 10, 1, 1, 6, 1, 2, 1, 1, 10, 1, 6, 1, 2, 2, 6, 1, 2, 10, 10, 10, 10, 10, 6, 10, 1, 2, 10, 2, 1, 1, 1, 10, 1, 10, 6, 10, 6, 2, 2, 1, 6, 6, 6, 10, 10, 10, 10, 2, 2, 11, 5, 1, 1, 6, 1, 1, 2, 10, 2, 6, 1, 6, 6, 6, 6, 6, 1, 4, 10, 1, 1, 10, 2, 10, 10, 6, 1, 2, 2, 6, 1, 1, 1, 6, 6, 6, 2, 2, 1, 6, 5, 2, 6, 10, 1, 2, 1, 10, 10, 1, 6, 1, 2, 10, 2, 6, 6, 2, 6, 10, 6, 1, 1, 1, 6, 2, 10, 1, 1, 6, 1, 10, 6, 10, 6, 2, 10, 10, 2, 6, 10, 2, 1, 6, 10, 10, 2, 2, 10, 1, 1, 10, 10, 2, 6, 2, 1, 1, 1, 10, 1, 0, 10, 2, 2, 1, 10, 1, 10, 6, 0, 10, 10, 2, 1, 1, 10, 2, 6, 2, 2, 1, 10, 6, 10, 6, 1, 6, 1, 10, 10, 1, 1, 1, 1, 10, 6, 0, 6, 6, 10, 2, 0, 1, 1, 10, 6, 2, 6, 5, 2, 1, 1, 2, 1, 6, 2, 10, 6, 6, 1, 1, 10, 10, 10, 6, 6, 6, 6, 6, 2, 5, 10, 1, 10, 10, 7, 2, 6, 6, 10, 2, 6, 1, 1, 2, 1, 10, 10, 6, 6, 10, 1, 6, 1, 10, 10, 1, 6, 0, 1, 10, 2, 6, 2, 2, 1, 2, 1, 6, 2, 10, 10, 10, 2, 6, 1, 2, 1, 1, 10, 2, 2, 10, 10, 10, 2, 6, 6, 2, 1, 10, 2, 6, 1, 10, 1, 10, 1, 10, 2, 6, 6, 6, 10, 10, 2, 2, 6, 6, 1, 9, 1, 6, 5, 10, 2, 1, 2, 1, 10, 10, 10, 2, 2, 1, 1, 6, 1, 10, 1, 10, 1, 1, 2, 2, 9, 6, 2, 10, 2, 6, 10, 6, 10, 1, 6, 2, 10, 6, 10, 10, 10, 10, 6, 1, 6, 6, 1, 1, 10, 10, 2, 2, 6, 10, 2, 1, 2, 1, 2, 2, 10, 2, 2, 1, 10, 1, 1, 10, 9, 1, 6, 2, 2, 6, 6, 1, 2, 2, 10, 6, 1, 10, 1, 10, 1, 6, 1, 6, 2, 10, 10, 6, 6, 2, 1, 6, 2, 10, 6, 1, 1, 6, 5, 6, 6, 6, 1, 1, 2, 2, 1, 2, 1, 10, 10, 10, 2, 2, 2, 1, 10, 10, 2, 2, 10, 6, 9, 6, 10, 1, 10, 2, 5, 10, 10, 2, 1, 1, 2, 6, 6, 1, 2, 2, 10, 1, 2, 10, 2, 1, 2, 10, 9, 2, 2, 2, 2, 1, 2, 1, 10, 2, 10, 1, 6, 1, 6, 2, 6, 10, 1, 10, 10, 6, 6, 1, 2, 6, 6, 6, 6, 2, 10, 10, 1, 2, 1, 10, 10, 6, 1, 6, 2, 6, 6, 10, 2, 10, 2, 1, 1, 1, 10, 2, 10, 1, 6, 1, 1, 2, 2, 1, 1, 6, 1, 1, 1, 2, 4, 6, 2, 10, 2, 10, 2, 10, 6, 10, 6, 6, 10, 10, 6, 1, 1, 6, 5, 1, 10, 2, 6, 6, 2, 5, 6, 6, 1, 6, 10, 1, 10, 6, 6, 6, 1, 6, 2, 9, 6, 10, 6, 10, 1, 2, 6, 6, 2, 1, 10, 2, 6, 5, 10, 1, 1, 1, 10, 1, 6, 6, 2, 6, 2, 10, 1, 10, 6, 10, 10, 2, 2, 6, 1, 6, 2, 1, 2, 6, 1, 2, 10, 2, 1, 10, 2, 6, 2, 10, 2, 2, 0, 1, 6, 10, 6, 6, 2, 10, 6, 6, 6, 1, 10, 1, 1, 2, 1, 2, 2, 2, 10, 6, 6, 10, 1, 10, 2, 1, 10, 1, 10, 2, 1, 1, 6, 6, 10, 1, 10, 6, 6, 6, 6, 10, 4, 1, 6, 10, 4, 6, 1, 6, 10, 1, 6, 1, 10, 2, 6, 1, 10, 10, 2, 10, 2, 1, 10, 6, 2, 1, 9, 10, 1, 1, 1, 5, 1, 6, 2, 6, 2, 10, 10, 10, 2, 2, 2, 10, 2, 6, 10, 2, 6, 2, 6, 10, 6, 10, 10, 2, 1, 6, 1, 1, 6, 2, 1, 2, 1, 2, 1, 9, 10, 2, 6, 10, 6, 2, 6, 2, 1, 6, 1, 2, 10, 1, 2, 10, 2, 2, 6, 6, 10, 1, 6, 10, 6, 6, 1, 1, 10, 1, 6, 1, 6, 2, 1, 2, 10, 5, 2, 1, 4, 10, 1, 10, 10, 2, 2, 1, 10, 2, 6, 1, 10, 10, 1, 10, 1, 10, 1, 6, 2, 6, 6, 10, 2, 6, 1, 2, 2, 6, 2, 6, 1, 6, 6, 10, 1, 10, 2, 2, 6, 1, 6, 1, 10, 1, 10, 10, 1, 10, 1, 10, 4, 10, 2, 10, 2, 6, 6, 10, 1, 10, 10, 2, 10, 2, 1, 1, 2, 10, 1, 10, 10, 2, 1, 10, 6, 1, 1, 1, 10, 10, 0, 6, 2, 2, 1, 2, 2, 6, 1, 1, 6, 2, 2, 6, 1, 6, 1, 10, 10, 6, 10, 2, 1, 10, 2, 6, 6, 10, 1, 6, 1, 2, 1, 2, 10, 2, 2, 10, 1, 1, 10, 1, 1, 6, 1, 2, 6, 60, 2, 7, 1, 4, 10, 1, 6, 1, 1, 1, 6, 6, 1, 2, 10, 1, 2, 2, 2, 6, 2, 2, 2, 10, 1, 2, 4, 50, 10, 2, 10, 1, 10, 2, 2, 2, 6, 10, 10, 1, 6, 6, 6, 10, 1, 6, 2, 10, 10, 6, 2, 10, 4, 1, 10, 6, 2, 1, 2, 6, 2, 1, 6, 6, 9, 50, 6, 2, 10, 2, 1, 10, 4, 10, 10, 2, 10, 6, 2, 10, 1, 1, 10, 2, 10, 2, 2, 10, 10, 6, 10, 2, 1, 2, 6, 2, 2, 10, 10, 6, 2, 2, 6, 6, 6, 10, 2, 10, 6, 1, 1, 6, 1, 2, 10, 1, 6, 6, 1, 10, 1, 6, 6, 2, 2, 1, 10, 10, 1, 2, 1, 2, 6, 1, 10, 2, 10, 10, 10, 10, 2, 10, 6, 2, 10, 6, 6, 1, 1, 10, 2, 9, 10, 6, 2, 6, 1, 6, 6, 0, 6, 6, 2, 6, 6, 2, 1, 2, 6, 6, 10, 10, 6, 1, 10, 4, 6, 1, 1, 2, 10, 10, 6, 2, 6, 2, 2, 2, 6, 1, 2, 6, 2, 10, 1, 10, 6, 1, 1, 6, 2, 1, 10, 6, 1, 1, 0, 1, 10, 2, 1, 2, 6, 1, 2, 10, 1, 1, 1, 2, 6, 2, 2, 6, 2, 6, 2, 2, 6, 1, 6, 1, 6, 6, 1, 6, 1, 1, 2, 1, 1, 2, 1, 2, 1, 6, 10, 1, 10, 1, 1, 2, 1, 1, 1, 10, 10, 2, 6, 1, 10, 6, 10, 2, 2, 6, 10, 6, 10, 2, 1, 6, 10, 1, 6, 2, 10, 1, 10, 6, 6, 10, 1, 10, 10, 1, 2, 1, 6, 2, 10, 1, 10, 6, 10, 1, 1, 2, 10, 2, 2, 10, 2, 1, 6, 1, 10, 10, 2, 2, 10, 1, 10, 2, 6, 6, 6, 10, 1, 2, 10, 6, 10, 1, 2, 1, 10, 2, 10, 10, 10, 6, 2, 1, 2, 6, 2, 2, 10, 6, 10, 1, 1, 2, 6, 6, 6, 10, 6, 1, 10, 1, 0, 10, 1, 10, 10, 6, 10, 10, 6, 2, 10, 2, 6, 1, 2, 10, 1, 2, 6, 6, 6, 2, 6, 2, 6, 6, 1, 6, 2, 1, 1, 10, 6, 1, 2, 5, 1, 10, 10, 10, 6, 2, 6, 2, 10, 6, 2, 6, 10, 1, 2, 10, 10, 6, 10, 5, 1, 1, 10, 6, 6, 2, 2, 1, 6, 1, 2, 6, 6, 1, 2, 1, 6, 6, 1, 10, 6, 6, 10, 6, 10, 0, 10, 10, 1, 2, 1, 6, 10, 1, 6, 1, 10, 10, 10, 10, 6, 10, 6, 6, 5, 10, 2, 5, 10, 1, 2, 10, 10, 6, 1, 6, 1, 10, 1, 5, 1, 1, 1, 2, 2, 2, 1, 10, 2, 2, 1, 10, 2, 1, 2, 6, 6, 10, 2, 1, 6, 2, 10, 10, 5, 6, 10, 1, 6, 10, 2, 10, 2, 10, 2, 2, 1, 1, 2, 2, 1, 10, 6, 1, 1, 1, 6, 1, 10, 2, 2, 10, 2, 6, 2, 10, 6, 10, 10, 10, 6, 10, 1, 1, 1, 1, 1, 6, 2, 10, 2, 2, 2, 2, 1, 6, 6, 1, 10, 6, 10, 2, 6, 2, 2, 2, 6, 2, 1, 10, 6, 2, 10, 1, 6, 1, 6, 6, 10, 2, 6, 2, 1, 1, 10, 0, 10, 7, 6, 1, 2, 2, 10, 10, 2, 2, 10, 6, 10, 10, 6, 10, 1, 10, 6, 1, 6, 10, 10, 1, 2, 6, 10, 10, 1, 1, 6, 1, 10, 6, 6, 10, 10, 1, 10, 6, 6, 2, 1, 2, 6, 10, 1, 0, 10, 10, 2, 2, 6, 1, 1, 2, 6, 6, 6, 6, 5, 1, 10, 6, 6, 6, 2, 6, 6, 7, 6, 6, 6, 10, 2, 9, 10, 10, 10, 10, 1, 2, 10, 1, 6, 6, 2, 1, 2, 6, 6, 2, 2, 6, 2, 1, 2, 2, 2, 10, 2, 2, 2, 10, 1, 2, 2, 6, 1, 2, 6, 1, 6, 2, 2, 6, 6, 2, 6, 10, 6, 10, 6, 1, 6, 2, 6, 1, 6, 1, 10, 1, 6, 2, 1, 2, 6, 6, 6, 2, 2, 2, 6, 6, 6, 10, 2, 2, 10, 1, 5, 6, 1, 6, 2, 2, 10, 10, 2, 10, 4, 2, 6, 2, 6, 6, 2, 6, 1, 5, 10, 1, 10, 10, 10, 1, 2, 6, 6, 2, 10, 2, 6, 2, 1, 6, 10, 10, 10, 2, 6, 6, 2, 6, 2, 1, 1, 10, 4, 10, 6, 1, 5, 6, 1, 6, 1, 2, 6, 1, 2, 6, 6, 9, 1, 2, 10, 1, 10, 1, 2, 6, 2, 10, 2, 10, 2, 2, 1, 1, 2, 1, 6, 10, 2, 2, 4, 1, 6, 2, 6, 2, 2, 6, 6, 6, 2, 2, 6, 1, 10, 6, 6, 2, 1, 6, 2, 1, 6, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 6, 6, 10, 2, 2, 6, 2, 1, 6, 10, 6, 6, 6, 2, 6, 2, 6, 2, 10, 6, 6, 6, 2, 6, 6, 6, 9, 6, 6, 6, 6, 6, 1, 6, 6, 1, 5, 6, 6, 1, 1, 10, 2, 6, 2, 10, 10, 2, 1, 6, 1, 6, 1, 1, 2, 2, 10, 2, 1, 1, 10, 2, 6, 10, 10, 1, 10, 9, 10, 2, 1, 1, 1, 6, 2, 1, 10, 10, 10, 6, 1, 10, 10, 6, 2, 2, 1, 6, 6, 2, 2, 1, 2, 10, 2, 10, 2, 2, 1, 6, 10, 10, 1, 1, 10, 1, 2, 10, 10, 6, 2, 1, 0, 2, 1, 10, 10, 10, 2, 2, 10, 2, 2, 10, 10, 10, 6, 1, 2, 1, 1, 10, 1, 10, 2, 10, 1, 10, 6, 10, 6, 6, 1, 6, 2, 1, 1, 2, 2, 1, 6, 6, 1, 1, 10, 2, 6, 1, 2, 1, 2, 6, 6, 1, 1, 10, 2, 10, 2, 2, 2, 10, 10, 6, 10, 10, 2, 1, 2, 1, 1, 10, 2, 2, 2, 6, 10, 1, 2, 6, 2, 1, 10, 6, 6, 1, 10, 1, 2, 2, 6, 1, 6, 2, 1, 1, 2, 10, 6, 10, 6, 10, 6, 1, 6, 2, 1, 2, 2, 10, 10, 1, 6, 2, 6, 1, 10, 6, 10, 1, 1, 6, 1, 10, 2, 10, 10, 10, 6, 2, 1, 2, 6, 10, 10, 1, 10, 2, 0, 1, 2, 6, 10, 6, 10, 10, 10, 2, 6, 10, 2, 6, 0, 10, 2, 2, 1, 6, 2, 6, 6, 2, 2, 6, 1, 10, 0, 2, 6, 6, 1, 2, 5, 6, 2, 6, 6, 6, 1, 6, 1, 1, 2, 6, 10, 1, 6, 6, 2, 1, 6, 10, 10, 1, 2, 6, 6, 6, 2, 9, 6, 6, 2, 2, 1, 1, 1, 1, 10, 2, 6, 10, 10, 1, 6, 6, 6, 2, 10, 1, 2, 1, 6, 1, 10, 6, 10, 2, 2, 1, 10, 2, 1, 2, 6, 6, 6, 6, 10, 1, 1, 1, 2, 1, 2, 10, 2, 1, 2, 10, 10, 1, 2, 1, 10, 6, 10, 6, 1, 2, 1, 6, 10, 1, 1, 6, 6, 10, 10, 10, 1, 2, 1, 6, 2, 10, 10, 10, 2, 6, 2, 1, 1, 6, 9, 2, 2, 2, 2, 1, 6, 6, 10, 10, 2, 1, 10, 6, 6, 2, 2, 6, 2, 1, 2, 6, 1, 6, 10, 1, 10, 2, 10, 6, 6, 10, 6, 2, 2, 1, 10, 6, 6, 6, 10, 6, 10, 10, 10, 10, 2, 4, 10, 10, 0, 10, 2, 6, 10, 6, 2, 10, 1, 1, 2, 10, 6, 10, 10, 2, 10, 10, 4, 10, 10, 1, 1, 6, 10, 6, 2, 2, 6, 1, 6, 2, 10, 6, 1, 2, 1, 1, 1, 1, 1, 2, 1, 10, 10, 10, 4, 2, 6, 10, 10, 10, 10, 1, 6, 10, 1, 6, 10, 10, 10, 6, 6, 2, 1, 6, 2, 1, 1, 2, 6, 6, 6, 1, 2, 10, 2, 1, 10, 1, 2, 2, 10, 10, 2, 1, 6, 10, 2, 1, 6, 1, 2, 1, 2, 6, 6, 1, 1, 6, 2, 4, 6, 6, 2, 50, 2, 6, 1, 6, 6, 2, 6, 10, 10, 1, 2, 4, 1, 2, 10, 10, 6, 6, 1, 6, 1, 10, 10, 10, 2, 10, 1, 2, 2, 2, 2, 6, 1, 1, 1, 1, 2, 2, 9, 1, 6, 1, 6, 6, 10, 1, 4, 6, 6, 1, 10, 1, 6, 10, 1, 2, 1, 1, 6, 2, 2, 6, 1, 1, 10, 1, 10, 6, 2, 6, 6, 2, 10, 6, 2, 2, 1, 10, 2, 10, 1, 10, 6, 6, 1, 1, 2, 1, 1, 10, 10, 2, 2, 6, 1, 2, 5, 10, 1, 5, 1, 2, 10, 10, 10, 2, 6, 1, 6, 6, 2, 6, 6, 1, 2, 6, 10, 1, 6, 10, 6, 10, 10, 6, 2, 6, 1, 2, 2, 1, 6, 1, 6, 6, 1, 2, 6, 10, 1, 2, 10, 6, 1, 10, 1, 10, 6, 6, 1, 6, 10, 10, 1, 10, 6, 10, 6, 6, 1, 1, 2, 1, 10, 10, 1, 0, 1, 6, 1, 2, 6, 10, 2, 1, 6, 10, 2, 6, 10, 6, 1, 1, 1, 1, 1, 10, 1, 10, 1, 1, 2, 6, 2, 10, 1, 2, 6, 6, 10, 6, 2, 6, 1, 2, 1, 10, 10, 2, 10, 2, 10, 6, 6, 2, 1, 0, 2, 10, 6, 6, 6, 6, 6, 2, 1, 6, 6, 6, 10, 1, 1, 1, 2, 6, 4, 2, 1, 10, 2, 1, 1, 10, 6, 1, 6, 6, 1, 1, 2, 6, 2, 12, 5, 6, 1, 1, 10, 9, 10, 6, 1, 6, 1, 2, 10, 6, 2, 6, 1, 6, 6, 6, 1, 10, 1, 10, 2, 1, 1, 2, 10, 1, 2, 1, 2, 6, 1, 1, 1, 5, 10, 6, 1, 10, 6, 10, 2, 1, 2, 6, 6, 10, 10, 6, 1, 2, 1, 2, 10, 1, 1, 10, 2, 2, 2, 2, 10, 1, 2, 5, 6, 10, 1, 10, 10, 6, 10, 2, 2, 10, 1, 10, 2, 6, 2, 1, 2, 1, 2, 6, 6, 10, 6, 1, 2, 6, 6, 1, 1, 10, 1, 10, 2, 6, 10, 6, 10, 6, 10, 2, 10, 2, 10, 6, 1, 10, 1, 10, 10, 2, 2, 2, 1, 10, 6, 2, 1, 1, 6, 10, 6, 10, 6, 1, 2, 1, 6, 1, 1, 2, 6, 6, 10, 10, 2, 6, 6, 10, 2, 1, 1, 6, 1, 2, 6, 10, 10, 1, 2, 2, 10, 1, 2, 10, 6, 10, 6, 10, 2, 1, 2, 6, 1, 6, 1, 5, 2, 1, 5, 2, 1, 6, 2, 2, 2, 1, 6, 1, 6, 60, 6, 1, 10, 6, 2, 9, 10, 1, 1, 1, 2, 2, 2, 10, 9, 6, 6, 1, 6, 2, 10, 2, 2, 1, 1, 2, 9, 6, 1, 2, 6, 9, 2, 10, 6, 2, 10, 10, 6, 10, 1, 2, 6, 10, 1, 0, 6, 10, 10, 1, 6, 6, 6, 1, 1, 6, 2, 10, 6, 2, 2, 6, 2, 6, 1, 2, 1, 10, 1, 2, 1, 2, 10, 10, 2, 1, 2, 2, 1, 1, 1, 6, 10, 1, 2, 10, 10, 6, 10, 1, 10, 2, 6, 10, 2, 10, 10, 1, 6, 1, 2, 4, 2, 1, 2, 2, 6, 1, 2, 2, 10, 10, 2, 10, 6, 6, 1, 6, 2, 6, 6, 10, 2, 6, 1, 10, 10, 1, 10, 2, 1, 1, 2, 2, 6, 10, 1, 2, 1, 2, 6, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 10, 1, 2, 10, 6, 1, 10, 1, 10, 6, 2, 1, 1, 6, 1, 2, 6, 6, 10, 2, 2, 10, 4, 6, 10, 2, 1, 2, 6, 10, 6, 2, 10, 10, 10, 6, 0, 2, 10, 2, 6, 6, 2, 10, 10, 1, 2, 10, 10, 1, 2, 9, 6, 1, 10, 6, 10, 6, 4, 1, 2, 1, 10, 2, 1, 6, 6, 10, 2, 6, 2, 2, 6, 10, 6, 10, 2, 2, 0, 10, 6, 6, 6, 2, 6, 6, 10, 10, 10, 10, 10, 2, 1, 2, 6, 2, 2, 2, 1, 2, 2, 6, 8, 2, 6, 10, 10, 6, 6, 2, 4, 10, 1, 1, 1, 2, 10, 2, 6, 1, 10, 10, 6, 1, 6, 6, 10, 6, 1, 2, 10, 2, 2, 10, 2, 6, 10, 1, 1, 6, 10, 6, 2, 1, 10, 2, 1, 6, 6, 10, 1, 1, 2, 1, 6, 10, 2, 6, 10, 2, 1, 10, 10, 1, 10, 1, 6, 10, 1, 10, 2, 10, 6, 10, 1, 2, 1, 10, 1, 9, 6, 1, 2, 6, 6, 1, 1, 2, 6, 10, 10, 6, 10, 1, 6, 2, 6, 1, 4, 6, 2, 2, 1, 1, 1, 2, 10, 10, 10, 1, 6, 6, 1, 1, 2, 6, 10, 1, 10, 1, 1, 2, 1, 6, 6, 10, 6, 6, 6, 5, 1, 10, 1, 10, 1, 1, 2, 6, 10, 10, 1, 2, 2, 2, 6, 10, 10, 6, 1, 6, 1, 1, 10, 6, 9, 10, 2, 6, 1, 10, 6, 2, 6, 1, 5, 6, 10, 5, 1, 2, 6, 10, 6, 10, 10, 2, 1, 10, 6, 1, 1, 2, 2, 2, 10, 2, 6, 6, 2, 10, 1, 6, 6, 10, 10, 10, 2, 10, 2, 6, 6, 1, 2, 2, 6, 10, 6, 10, 6, 10, 1, 6, 10, 2, 6, 6, 2, 10, 2, 1, 2, 10, 1, 1, 6, 2, 10, 10, 2, 2, 2, 10, 1, 1, 1, 6, 6, 1, 10, 1, 1, 6, 10, 2, 6, 2, 1, 6, 10, 5, 6, 10, 6, 6, 6, 1, 1, 6, 10, 10, 10, 1, 6, 2, 6, 2, 1, 2, 10, 1, 6, 10, 1, 1, 1, 10, 6, 1, 2, 10, 6, 2, 6, 2, 1, 10, 10, 6, 1, 10, 10, 6, 2, 6, 2, 10, 6, 1, 1, 10, 1, 10, 1, 0, 6, 6, 2, 10, 6, 10, 10, 6, 6, 6, 1, 2, 2, 10, 2, 1, 0, 10, 6, 1, 1, 2, 0, 10, 2, 6, 6, 1, 2, 0, 6, 2, 10, 1, 1, 2, 1, 6, 6, 1, 10, 2, 6, 6, 1, 2, 10, 1, 10, 1, 6, 6, 1, 10, 2, 2, 10, 10, 10, 2, 2, 1, 4, 6, 1, 2, 1, 2, 1, 1, 2, 10, 1, 10, 10, 2, 6, 2, 1, 1, 2, 10, 2, 1, 6, 1, 2, 1, 2, 10, 10, 6, 2, 6, 1, 1, 1, 2, 10, 2, 6, 6, 60, 9, 2, 1, 2, 6, 1, 2, 1, 1, 10, 10, 1, 2, 6, 2, 0, 6, 10, 6, 1, 2, 6, 10, 1, 2, 6, 6, 2, 1, 10, 1, 6, 6, 10, 1, 10, 6, 6, 4, 0, 6, 2, 2, 1, 6, 6, 6, 1, 6, 10, 6, 1, 1, 10, 1, 2, 10, 9, 10, 2, 2, 10, 10, 10, 10, 6, 1, 2, 2, 2, 10, 1, 6, 10, 10, 10, 10, 10, 1, 1, 6, 10, 2, 8, 2, 6, 2, 1, 6, 10, 2, 2, 2, 5, 6, 2, 10, 2, 10, 6, 10, 1, 10, 10, 1, 1, 10, 6, 1, 2, 9, 1, 6, 6, 1, 6, 1, 2, 10, 6, 2, 6, 1, 6, 6, 6, 1, 10, 1, 10, 6, 10, 6, 10, 2, 10, 6, 1, 1, 1, 2, 1, 10, 10, 6, 2, 4, 10, 1, 1, 2, 10, 6, 10, 10, 6, 10, 2, 10, 1, 6, 6, 6, 6, 10, 10, 0, 10, 1, 2, 2, 6, 10, 6, 1, 2, 1, 1, 2, 1, 2, 6, 10, 1, 10, 2, 1, 2, 1, 6, 6, 10, 1, 1, 6, 1, 10, 2, 10, 6, 6, 10, 1, 0, 10, 2, 6, 1, 1, 10, 10, 6, 1, 6, 10, 2, 6, 10, 9, 10, 1, 10, 2, 1, 1, 1, 1, 6, 1, 10, 2, 2, 2, 9, 2, 6, 2, 6, 6, 2, 6, 2, 2, 1, 10, 6, 1, 6, 6, 6, 6, 1, 10, 1, 2, 1, 6, 6, 1, 4, 1, 6, 1, 2, 2, 2, 0, 6, 2, 2, 1, 10, 6, 6, 10, 1, 10, 10, 1, 2, 6, 6, 10, 1, 6, 1, 2, 4, 1, 10, 10, 2, 2, 6, 6, 2, 1, 6, 10, 10, 6, 10, 6, 1, 2, 5, 2, 10, 10, 10, 4, 1, 1, 5, 6, 10, 1, 6, 10, 2, 2, 10, 1, 6, 10, 9, 6, 1, 10, 6, 6, 2, 1, 6, 6, 10, 10, 2, 6, 6, 6, 1, 10, 1, 2, 1, 6, 6, 6, 2, 10, 10, 2, 1, 1, 10, 1, 1, 6, 10, 1, 10, 10, 2, 1, 1, 1, 1, 1, 6, 1, 10, 10, 2, 2, 1, 2, 6, 2, 6, 1, 1, 1, 6, 2, 6, 1, 10, 1, 5, 40, 10, 2, 2, 6, 2, 6, 10, 2, 2, 1, 2, 2, 1, 10, 6, 4, 6, 2, 6, 6, 6, 2, 6, 2, 6, 1, 1, 2, 10, 2, 1, 2, 0, 2, 4, 1, 2, 2, 2, 1, 10, 9, 6, 1, 6, 6, 2, 1, 10, 2, 1, 10, 6, 10, 1, 2, 1, 6, 1, 2, 10, 10, 2, 2, 10, 9, 1, 1, 6, 1, 6, 2, 6, 1, 2, 6, 6, 10, 2, 1, 2, 1, 6, 1, 1, 2, 10, 6, 2, 1, 2, 1, 2, 1, 10, 1, 6, 6, 10, 2, 1, 1, 0, 2, 10, 2, 10, 10, 6, 1, 10, 6, 10, 10, 0, 2, 6, 9, 6, 10, 6, 6, 6, 2, 1, 1, 10, 1, 10, 6, 2, 1, 1, 10, 1, 1, 1, 6, 2, 1, 1, 1, 2, 1, 2, 2, 6, 1, 1, 1, 1, 1, 6, 7, 6, 10, 6, 6, 6, 10, 1, 6, 2, 6, 1, 2, 2, 2, 1, 10, 10, 10, 10, 10, 6, 10, 6, 1, 2, 2, 10, 2, 6, 4, 2, 2, 1, 1, 2, 6, 2, 6, 2, 1, 10, 10, 10, 6, 1, 6, 2, 10, 1, 6, 6, 1, 2, 10, 10, 2, 1, 10, 1, 2, 10, 10, 2, 1, 2, 0, 1, 6, 10, 10, 6, 2, 1, 10, 5, 2, 1, 1, 1, 10, 10, 1, 1, 10, 6, 1, 2, 10, 6, 2, 10, 9, 6, 6, 6, 10, 0, 10, 6, 10, 10, 1, 1, 2, 1, 10, 10, 2, 2, 10, 1, 4, 10, 6, 1, 2, 0, 6, 10, 6, 2, 6, 2, 6, 6, 2, 6, 2, 6, 6, 6, 1, 1, 2, 10, 1, 2, 6, 6, 1, 6, 10, 6, 1, 10, 10, 1, 2, 1, 1, 6, 1, 6, 10, 6, 2, 2, 2, 1, 6, 6, 2, 10, 10, 2, 10, 2, 6, 1, 1, 2, 1, 10, 6, 1, 10, 10, 10, 1, 6, 6, 6, 1, 2, 10, 6, 10, 6, 1, 6, 6, 0, 6, 2, 10, 10, 6, 2, 10, 10, 1, 10, 1, 1, 10, 2, 2, 4, 6, 6, 6, 10, 10, 6, 6, 2, 1, 1, 1, 1, 10, 6, 6, 2, 9, 10, 6, 6, 6, 1, 6, 6, 10, 10, 10, 6, 10, 6, 10, 6, 1, 10, 2, 1, 6, 2, 10, 10, 6, 1, 10, 2, 6, 2, 1, 10, 2, 2, 10, 2, 6, 10, 2, 2, 10, 2, 2, 10, 2, 1, 1, 10, 1, 10, 6, 1, 1, 10, 1, 2, 10, 4, 1, 2, 1, 10, 10, 0, 1, 9, 1, 6, 6, 1, 1, 6, 6, 1, 1, 6, 2, 6, 6, 10, 1, 6, 1, 10, 6, 2, 1, 10, 2, 1, 2, 6, 2, 2, 10, 2, 10, 6, 10, 10, 10, 2, 10, 6, 2, 1, 2, 2, 6, 9, 6, 1, 10, 6, 6, 1, 6, 2, 6, 10, 6, 2, 10, 10, 6, 10, 6, 2, 6, 1, 6, 10, 6, 1, 2, 6, 10, 2, 1, 10, 6, 6, 1, 1, 6, 1, 6, 2, 6, 1, 6, 2, 1, 1, 6, 10, 1, 10, 2, 10, 10, 6, 10, 6, 10, 1, 1, 2, 10, 10, 10, 10, 1, 1, 1, 1, 2, 6, 10, 6, 2, 10, 6, 10, 1, 10, 10, 1, 6, 1, 2, 1, 2, 6, 10, 6, 2, 10, 2, 6, 1, 2, 1, 2, 10, 10, 1, 1, 10, 6, 2, 10, 10, 2, 6, 6, 1, 5, 6, 2, 10, 6, 2, 10, 6, 1, 10, 6, 1, 6, 6, 10, 4, 2, 6, 9, 10, 2, 1, 10, 1, 2, 1, 5, 2, 2, 6, 1, 2, 10, 1, 10, 6, 2, 2, 6, 10, 1, 2, 6, 2, 1, 1, 6, 1, 0, 6, 2, 6, 10, 1, 10, 10, 2, 6, 1, 10, 10, 10, 6, 2, 1, 10, 10, 1, 6, 1, 1, 10, 2, 6, 1, 6, 6, 2, 1, 1, 1, 10, 10, 10, 9, 1, 4, 5, 6, 2, 6, 6, 10, 1, 6, 8, 1, 2, 2, 6, 10, 2, 10, 1, 2, 2, 2, 2, 0, 10, 1, 6, 2, 2, 6, 1, 2, 10, 0, 10, 2, 2, 10, 6, 10, 2, 1, 2, 10, 6, 10, 1, 10, 0, 2, 6, 10, 10, 6, 6, 10, 2, 6, 10, 1, 1, 10, 10, 6, 6, 2, 10, 10, 2, 10, 6, 10, 5, 2, 1, 6, 1, 10, 10, 1, 1, 6, 1, 6, 10, 10, 1, 1, 1, 2, 2, 2, 2, 10, 6, 1, 1, 2, 10, 1, 10, 6, 2, 1, 10, 1, 2, 10, 2, 1, 10, 6, 1, 1, 2, 10, 1, 10, 10, 2, 2, 6, 1, 2, 6, 10, 2, 10, 6, 10, 2, 2, 10, 6, 6, 1, 10, 6, 6, 5, 6, 6, 2, 2, 6, 2, 1, 2, 2, 10, 10, 1, 6, 1, 6, 6, 10, 10, 6, 6, 10, 2, 2, 6, 10, 2, 1, 6, 10, 6, 2, 2, 2, 1, 1, 6, 2, 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10, 5, 1, 2, 2, 1, 2, 1, 6, 10, 6, 1, 2, 1, 1, 10, 2, 10, 2, 6, 6, 1, 10, 6, 10, 1, 10, 10, 2, 2, 2, 2, 6, 2, 2, 10, 2, 2, 9, 2, 6, 2, 1, 2, 10, 2, 10, 2, 6, 10, 2, 6, 1, 10, 6, 1, 10, 10, 2, 1, 10, 1, 1, 10, 1, 10, 10, 9, 2, 6, 6, 2, 1, 6, 6, 6, 10, 10, 10, 10, 1, 2, 6, 10, 6, 10, 6, 10, 1, 6, 1, 2, 6, 6, 1, 10, 1, 2, 6, 10, 1, 7, 1, 1, 2, 2, 6, 6, 2, 2, 6, 10, 10, 6, 1, 2, 2, 6, 2, 2, 2, 1, 6, 1, 9, 6, 4, 5, 6, 6, 6, 6, 2, 6, 2, 10, 6, 10, 6, 10, 1, 1, 9, 2, 1, 6, 10, 2, 1, 1, 10, 2, 1, 6, 6, 2, 1, 6, 1, 10, 10, 2, 10, 6, 1, 2, 2, 10, 1, 2, 2, 1, 2, 6, 2, 2, 2, 10, 10, 6, 2, 6, 1, 6, 10, 1, 2, 1, 6, 2, 2, 8, 2, 1, 2, 10, 1, 10, 2, 2, 6, 10, 1, 1, 10, 6, 10, 6, 2, 6, 6, 2, 10, 5, 10, 10, 10, 6, 0, 1, 10, 2, 2, 6, 10, 2, 2, 2, 2, 6, 4, 10, 2, 1, 6, 1, 6, 1, 1, 2, 10, 2, 2, 6, 6, 2, 1, 6, 2, 4, 10, 1, 6, 1, 1, 10, 6, 6, 10, 10, 2, 10, 6, 1, 6, 2, 1, 6, 1, 2, 6, 2, 2, 0, 2, 10, 10, 2, 2, 1, 2, 6, 9, 2, 6, 2, 2, 2, 2, 10, 2, 6, 10, 1, 6, 10, 2, 6, 9, 2, 2, 6, 6, 6, 2, 1, 6, 6, 6, 10, 1, 10, 2, 1, 1, 10, 1, 1, 2, 10, 6, 1, 1, 6, 1, 10, 2, 10, 1, 10, 10, 6, 1, 6, 2, 6, 2, 10, 6, 6, 6, 2, 10, 1, 2, 6, 1, 10, 1, 1, 10, 2, 6, 2, 2, 10, 2, 10, 1, 2, 0, 6, 1, 2, 10, 2, 2, 2, 2, 10, 2, 10, 1, 2, 2, 10, 1, 1, 10, 10, 2, 10, 6, 6, 6, 1, 2, 2, 2, 10, 2, 6, 2, 6, 6, 10, 1, 2, 2, 1, 2, 1, 1, 10, 2, 6, 6, 1, 6, 2, 2, 10, 2, 2, 10, 1, 6, 2, 10, 2, 10, 10, 2, 1, 6, 10, 10, 10, 10, 2, 1, 6, 1, 10, 10, 6, 1, 5, 6, 10, 6, 2, 1, 2, 6, 1, 2, 6, 2, 2, 1, 10, 2, 6, 1, 6, 10, 9, 2, 1, 6, 6, 10, 2, 1, 6, 10, 10, 6, 6, 2, 2, 1, 6, 10, 2, 6, 6, 2, 1, 2, 2, 6, 2, 10, 6, 6, 6, 1, 1, 1, 2, 6, 1, 10, 1, 10, 6, 1, 6, 10, 4, 10, 1, 10, 6, 2, 2, 6, 6, 1, 6, 10, 6, 10, 10, 10, 1, 6, 10, 1, 5, 2, 1, 6, 6, 1, 10, 10, 1, 6, 1, 1, 1, 1, 6, 6, 2, 1, 2, 2, 6, 2, 2, 1, 1, 6, 1, 1, 1, 2, 2, 2, 10, 10, 10, 6, 10, 2, 2, 2, 6, 1, 10, 1, 10, 2, 2, 2, 1, 10, 2, 6, 6, 2, 1, 6, 10, 6, 1, 10, 10, 10, 6, 1, 1, 1, 10, 2, 2, 2, 1, 2, 1, 6, 1, 10, 2, 10, 2, 10, 1, 1, 6, 10, 10, 10, 10, 6, 6, 1, 10, 1, 1, 1, 1, 2, 1, 2, 6, 6, 2, 10, 6, 6, 2, 1, 1, 6, 1, 10, 0, 2, 2, 6, 10, 2, 6, 10, 2, 10, 2, 6, 1, 2, 6, 2, 6, 1, 10, 10, 10, 10, 2, 9, 10, 2, 6, 6, 2, 2, 1, 1, 0, 2, 2, 10, 6, 2, 10, 2, 6, 1, 2, 10, 10, 6, 10, 1, 10, 10, 1, 1, 10, 6, 2, 1, 6, 10, 6, 10, 1, 10, 1, 1, 2, 10, 1, 2, 10, 6, 6, 6, 10, 6, 50, 2, 6, 10, 1, 6, 1, 1, 6, 2, 6, 1, 5, 10, 10, 1, 10, 1, 2, 1, 10, 1, 6, 6, 10, 1, 1, 1, 10, 6, 2, 6, 6, 1, 10, 1, 6, 2, 6, 10, 10, 2, 2, 1, 6, 6, 1, 10, 6, 2, 1, 2, 10, 2, 10, 5, 2, 10, 10, 1, 6, 1, 0, 2, 2, 1, 1, 2, 6, 6, 6, 2, 6, 2, 10, 10, 5, 2, 2, 2, 1, 10, 6, 1, 10, 2, 1, 10, 2, 10, 2, 2, 10, 1, 2, 6, 2, 6, 6, 2, 1, 1, 6, 1, 2, 10, 10, 10, 1, 1, 6, 6, 6, 6, 2, 2, 2, 10, 10, 1, 2, 6, 2, 10, 6, 6, 6, 1, 10, 6, 1, 6, 2, 10, 6, 10, 7, 6, 6, 10, 0, 10, 1, 5, 10, 10, 2, 1, 6, 2, 6, 10, 2, 2, 1, 10, 10, 6, 1, 1, 6, 2, 10, 2, 2, 6, 6, 10, 1, 6, 1, 6, 6, 2, 1, 1, 10, 6, 6, 2, 1, 10, 2, 6, 6, 6, 5, 6, 6, 6, 10, 6, 1, 10, 2, 1, 1, 1, 6, 2, 2, 10, 6, 10, 1, 10, 2, 1, 6, 1, 2, 1, 2, 6, 10, 6, 1, 6, 9, 10, 1, 6, 6, 10, 6, 6, 2, 10, 1, 6, 6, 2, 2, 6, 6, 0, 1, 6, 1, 6, 2, 1, 6, 2, 2, 6, 2, 6, 1, 2, 1, 2, 6, 6, 10, 10, 6, 10, 10, 10, 1, 0, 10, 1, 10, 10, 6, 10, 6, 1, 2, 2, 10, 10, 6, 2, 10, 10, 1, 1, 1, 6, 1, 2, 2, 10, 2, 1, 1, 10, 6, 1, 10, 6, 10, 1, 1, 1, 1, 6, 6, 10, 6, 6, 10, 6, 1, 2, 10, 10, 6, 10, 2, 6, 6, 10, 1, 6, 6, 10, 6, 2, 10, 10, 2, 2, 1, 2, 0, 1, 10, 5, 10, 1, 9, 10, 2, 2, 10, 10, 2, 2, 2, 6, 2, 1, 1, 10, 2, 10, 2, 2, 2, 10, 2, 0, 1, 2, 2, 2, 10, 1, 2, 10, 2, 10, 10, 2, 1, 1, 4, 1, 10, 6, 6, 10, 10, 6, 2, 2, 2, 2, 10, 6, 6, 1, 10, 1, 1, 1, 2, 2, 2, 2, 9, 6, 10, 10, 10, 2, 10, 10, 1, 10, 10, 10, 10, 2, 2, 1, 10, 6, 2, 10, 6, 10, 1, 2, 2, 10, 2, 1, 6, 6, 10, 2, 0, 6, 6, 2, 1, 6, 10, 6, 1, 1, 9, 1, 10, 2, 2, 6, 2, 6, 6, 5, 2, 10, 6, 6, 2, 1, 10, 1, 1, 2, 10, 6, 1, 10, 2, 1, 1, 6, 2, 1, 6, 1, 1, 10, 10, 2, 1, 1, 1, 1, 2, 2, 2, 2, 9, 10, 1, 2, 10, 6, 10, 6, 2, 10, 2, 1, 10, 10, 1, 2, 1, 1, 10, 2, 10, 10, 2, 10, 6, 10, 6, 1, 2, 1, 1, 2, 2, 5, 2, 2, 6, 6, 1, 10, 2, 2, 1, 10, 1, 6, 2, 6, 2, 2, 1, 2, 6, 10, 1, 10, 6, 1, 1, 10, 2, 2, 1, 10, 10, 2, 1, 2, 2, 2, 6, 10, 2, 10, 10, 6, 10, 6, 10, 1, 10, 10, 6, 10, 10, 1, 6, 10, 10, 6, 6, 10, 6, 6, 6, 1, 10, 2, 2, 10, 4, 1, 1, 6, 6, 1, 2, 6, 10, 6, 10, 6, 10, 10, 2, 6, 10, 2, 2, 10, 6, 1, 10, 6, 6, 10, 1, 6, 2, 2, 2, 2, 4, 2, 10, 2, 2, 6, 10, 2, 10, 2, 1, 5, 2, 2, 10, 4, 0, 10, 6, 1, 10, 1, 2, 1, 6, 0, 1, 2, 4, 2, 2, 10, 1, 1, 10, 1, 10, 6, 4, 4, 9, 10, 6, 6, 10, 1, 1, 10, 10, 1, 10, 10, 1, 10, 6, 6, 10, 2, 6, 9, 10, 10, 1, 1, 10, 1, 6, 6, 6, 4, 10, 9, 6, 2, 2, 10, 10, 10, 1, 6, 6, 2, 2, 10, 1, 10, 2, 1, 2, 1, 10, 10, 6, 2, 2, 10, 2, 1, 6, 6, 2, 6, 1, 2, 9, 6, 1, 2, 1, 6, 10, 6, 2, 6, 6, 2, 1, 1, 10, 6, 6, 10, 6, 1, 10, 2, 6, 10, 6, 6, 6, 10, 2, 10, 2, 1, 1, 2, 2, 10, 1, 6, 10, 1, 2, 1, 10, 6, 1, 2, 9, 1, 10, 2, 6, 10, 10, 6, 6, 10, 10, 6, 10, 1, 2, 1, 1, 10, 6, 1, 6, 10, 6, 2, 1, 6, 1, 10, 6, 6, 2, 10, 9, 1, 10, 5, 6, 6, 10, 1, 1, 1, 2, 1, 1, 2, 1, 10, 2, 2, 2, 3, 1, 10, 2, 2, 2, 10, 2, 2, 6, 2, 6, 10, 1, 6, 6, 6, 10, 6, 1, 6, 1, 2, 1, 2, 2, 2, 6, 10, 0, 2, 6, 2, 2, 2, 6, 2, 2, 10, 6, 1, 6, 4, 6, 10, 6, 1, 6, 10, 1, 2, 6, 2, 10, 1, 10, 2, 1, 1, 6, 2, 6, 1, 1, 1, 6, 10, 6, 1, 1, 0, 6, 6, 10, 10, 2, 6, 10, 2, 6, 10, 6, 10, 10, 6, 2, 6, 10, 6, 6, 1, 1, 6, 10, 2, 7, 5, 1, 1, 6, 1, 6, 2, 2, 1, 2, 6, 6, 5, 6, 10, 6, 2, 1, 2, 10, 1, 2, 6, 2, 2, 10, 6, 2, 6, 40, 10, 1, 6, 1, 10, 10, 1, 6, 6, 1, 6, 1, 10, 10, 1, 10, 2, 6, 2, 6, 2, 10, 10, 1, 6, 6, 10, 6, 1, 2, 2, 1, 6, 2, 10, 1, 6, 1, 6, 1, 10, 10, 50, 10, 6, 1, 1, 1, 2, 2, 6, 2, 2, 1, 2, 6, 2, 6, 10, 1, 1, 1, 6, 10, 1, 6, 2, 10, 2, 6, 10, 1, 10, 2, 1, 1, 1, 6, 6, 6, 2, 2, 2, 6, 6, 1, 6, 6, 1, 2, 0, 2, 6, 2, 10, 10, 2, 6, 6, 6, 60, 1, 6, 6, 10, 10, 2, 1, 6, 10, 6, 10, 1, 6, 1, 6, 2, 10, 6, 6, 6, 6, 10, 6, 2, 2, 1, 1, 2, 1, 6, 2, 10, 10, 6, 10, 10, 1, 1, 10, 2, 1, 1, 2, 6, 2, 1, 1, 6, 2, 1, 2, 6, 2, 10, 2, 10, 1, 9, 2, 2, 10, 2, 6, 1, 10, 1, 10, 10, 10, 6, 10, 1, 2, 6, 6, 1, 10, 2, 1, 1, 1, 1, 1, 6, 1, 6, 1, 6, 6, 2, 1, 1, 2, 10, 6, 6, 6, 2, 6, 1, 2, 10, 1, 2, 2, 1, 10, 1, 2, 1, 2, 1, 2, 6, 1, 0, 6, 6, 10, 2, 6, 10, 1, 1, 2, 1, 10, 2, 10, 6, 10, 2, 6, 6, 1, 2, 6, 4, 6, 6, 2, 2, 2, 10, 9, 2, 6, 10, 10, 6, 10, 2, 2, 2, 10, 6, 6, 2, 10, 2, 10, 2, 2, 1, 5, 1, 6, 6, 10, 1, 1, 6, 10, 10, 1, 2, 2, 1, 2, 10, 10, 1, 2, 2, 6, 2, 2, 6, 1, 1, 6, 10, 6, 1, 10, 6, 0, 2, 6, 2, 1, 1, 2, 6, 10, 1, 6, 1, 10, 1, 2, 1, 10, 2, 2, 6, 10, 6, 2, 1, 10, 6, 2, 2, 10, 1, 2, 2, 1, 2, 2, 10, 10, 2, 2, 6, 6, 6, 10, 0, 10, 6, 10, 2, 10, 2, 1, 1, 2, 2, 6, 1, 6, 1, 10, 2, 1, 2, 10, 2, 1, 6, 2, 2, 10, 1, 2, 10, 0, 6, 10, 1, 2, 10, 0, 6, 6, 1, 2, 1, 6, 1, 1, 6, 1, 6, 6, 1, 10, 6, 6, 1, 2, 10, 2, 10, 6, 1, 10, 1, 6, 10, 1, 1, 50, 1, 2, 1, 10, 2, 2, 1, 1, 2, 1, 6, 1, 10, 1, 6, 2, 6, 10, 2, 2, 2, 1, 10, 10, 1, 6, 2, 1, 1, 10, 10, 10, 1, 2, 1, 2, 6, 6, 1, 1, 2, 2, 2, 2, 10, 6, 1, 6, 1, 2, 2, 10, 1, 6, 1, 6, 2, 2, 6, 6, 2, 6, 10, 1, 2, 10, 2, 6, 2, 10, 6, 1, 2, 10, 10, 10, 10, 1, 1, 2, 1, 1, 10, 6, 1, 1, 6, 1, 2, 10, 1, 2, 6, 2, 0, 6, 2, 10, 6, 1, 10, 2, 10, 6, 2, 6, 6, 10, 2, 6, 6, 6, 10, 1, 2, 6, 1, 2, 1, 1, 6, 2, 10, 1, 2, 1, 10, 2, 1, 2, 1, 6, 10, 6, 6, 10, 10, 6, 2, 2, 2, 1, 6, 6, 1, 2, 2, 2, 10, 6, 2, 2, 6, 10, 10, 2, 10, 10, 2, 2, 6, 8, 2, 2, 2, 1, 6, 1, 2, 6, 4, 1, 1, 10, 6, 10, 10, 2, 10, 10, 10, 10, 6, 10, 10, 6, 6, 1, 1, 10, 2, 2, 1, 10, 1, 6, 6, 10, 1, 6, 6, 1, 10, 1, 6, 1, 2, 1, 1, 6, 6, 10, 10, 6, 1, 1, 6, 10, 10, 1, 6, 2, 10, 2, 1, 6, 10, 2, 1, 10, 6, 10, 2, 6, 10, 1, 2, 2, 6, 2, 6, 10, 2, 6, 2, 10, 4, 2, 1, 2, 1, 4, 0, 6, 6, 2, 6, 10, 6, 1, 4, 2, 10, 10, 10, 6, 1, 1, 6, 2, 6, 2, 10, 4, 6, 6, 6, 1, 10, 10, 10, 10, 6, 10, 1, 6, 6, 6, 10, 6, 2, 2, 6, 2, 1, 6, 6, 2, 2, 1, 6, 10, 10, 6, 2, 1, 2, 6, 2, 5, 2, 6, 10, 1, 10, 2, 6, 1, 10, 6, 1, 10, 2, 1, 10, 1, 6, 1, 2, 10, 6, 2, 10, 1, 10, 6, 10, 2, 1, 6, 2, 6, 2, 6, 2, 6, 1, 10, 2, 10, 1, 10, 10, 1, 10, 10, 2, 10, 1, 10, 6, 1, 6, 6, 1, 6, 1, 1, 1, 1, 10, 1, 1, 6, 10, 1, 6, 1, 2, 6, 6, 10, 6, 10, 2, 6, 10, 6, 1, 1, 1, 2, 6, 6, 6, 1, 6, 10, 1, 6, 6, 10, 1, 10, 1, 1, 1, 1, 6, 1, 6, 6, 2, 10, 10, 2, 10, 1, 1, 6, 2, 10, 10, 10, 1, 2, 10, 6, 10, 10, 1, 2, 10, 1, 1, 2, 2, 10, 1, 2, 2, 10, 1, 2, 6, 2, 1, 1, 6, 4, 1, 4, 1, 6, 10, 10, 1, 1, 6, 10, 6, 10, 1, 1, 6, 1, 2, 2, 6, 6, 10, 1, 6, 6, 2, 6, 1, 1, 2, 2, 10, 10, 2, 1, 9, 6, 2, 10, 1, 10, 0, 2, 2, 6, 6, 10, 10, 6, 6, 1, 2, 10, 6, 2, 10, 10, 10, 6, 10, 10, 10, 10, 2, 10, 6, 2, 2, 2, 1, 0, 1, 2, 2, 2, 6, 1, 6, 6, 6, 10, 1, 2, 6, 10, 2, 1, 2, 2, 6, 2, 2, 10, 10, 6, 1, 2, 5, 5, 1, 2, 10, 10, 1, 1, 10, 5, 10, 10, 5, 6, 6, 2, 2, 0, 6, 2, 6, 1, 2, 1, 6, 2, 10, 1, 6, 2, 6, 6, 10, 6, 1, 2, 10, 6, 1, 10, 6, 1, 2, 1, 1, 6, 2, 6, 10, 6, 1, 1, 6, 1, 6, 2, 1, 2, 10, 10, 1, 1, 2, 10, 2, 1, 1, 1, 6, 2, 1, 10, 2, 1, 1, 5, 10, 1, 2, 10, 6, 9, 6, 6, 5, 2, 2, 6, 2, 2, 0, 2, 10, 1, 6, 2, 6, 10, 10, 10, 1, 1, 1, 1, 10, 1, 6, 2, 1, 10, 10, 6, 1, 10, 10, 1, 4, 2, 10, 6, 6, 10, 1, 1, 6, 6, 2, 2, 2, 1, 2, 1, 2, 6, 10, 6, 2, 2, 10, 9, 1, 10, 2, 1, 6, 10, 2, 10, 10, 10, 6, 6, 2, 6, 1, 2, 2, 10, 1, 10, 2, 2, 2, 10, 10, 1, 1, 6, 1, 10, 2, 6, 2, 6, 6, 1, 2, 10, 10, 6, 2, 6, 10, 2, 0, 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10, 10, 10, 2, 1, 6, 6, 10, 0, 6, 10, 2, 2, 6, 6, 10, 10, 10, 1, 1, 10, 6, 2, 1, 6, 10, 2, 4, 10, 10, 6, 2, 10, 10, 6, 1, 6, 2, 10, 10, 2, 10, 10, 1, 6, 1, 1, 2, 2, 10, 6, 1, 10, 9, 10, 2, 6, 2, 6, 1, 10, 2, 2, 6, 1, 1, 10, 1, 10, 6, 2, 10, 10, 1, 2, 4, 6, 10, 1, 2, 6, 2, 1, 10, 10, 30, 2, 2, 10, 10, 1, 10, 1, 1, 1, 10, 9, 10, 1, 2, 2, 6, 10, 4, 1, 6, 2, 6, 6, 6, 10, 6, 6, 6, 10, 10, 6, 2, 2, 10, 1, 2, 6, 10, 10, 1, 2, 1, 10, 10, 10, 10, 6, 2, 1, 2, 6, 10, 2, 1, 10, 6, 1, 6, 2, 6, 10, 2, 10, 1, 2, 1, 6, 1, 10, 10, 2, 6, 2, 1, 6, 6, 6, 2, 1, 2, 10, 10, 10, 6, 2, 10, 10, 2, 6, 2, 1, 10, 2, 5, 10, 10, 10, 9, 10, 2, 6, 1, 2, 1, 10, 10, 2, 6, 10, 6, 4, 0, 10, 6, 6, 6, 1, 10, 1, 10, 10, 1, 10, 2, 6, 1, 2, 6, 1, 10, 1, 6, 2, 6, 10, 1, 6, 6, 6, 2, 10, 10, 6, 1, 6, 10, 10, 1, 10, 6, 2, 6, 1, 2, 2, 1, 10, 1, 2, 1, 10, 1, 6, 0, 6, 2, 2, 6, 10, 1, 10, 1, 0, 6, 6, 6, 10, 6, 2, 2, 1, 6, 10, 1, 2, 10, 1, 2, 2, 2, 10, 10, 1, 2, 6, 6, 1, 1, 10, 10, 1, 1, 6, 5, 2, 10, 6, 4, 10, 10, 10, 1, 2, 6, 6, 6, 1, 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10, 2, 2, 1, 1, 10, 1, 6, 6, 10, 1, 2, 2, 6, 1, 2, 10, 1, 1, 1, 1, 6, 6, 10, 6, 6, 10, 10, 10, 10, 6, 1, 2, 6, 6, 6, 2, 2, 6, 2, 6, 2, 10, 1, 2, 1, 6, 6, 2, 6, 1, 10, 10, 2, 6, 2, 2, 2, 10, 2, 1, 10, 1, 10, 6, 6, 10, 1, 10, 10, 2, 10, 1, 4, 1, 2, 2, 1, 10, 6, 1, 1, 6, 10, 2, 1, 1, 1, 6, 1, 1, 2, 6, 10, 10, 10, 6, 6, 1, 10, 6, 2, 2, 5, 6, 1, 1, 6, 10, 6, 6, 1, 1, 1, 1, 6, 10, 6, 2, 1, 10, 10, 2, 2, 6, 2, 1, 10, 10, 2, 1, 1, 1, 6, 2, 10, 2, 10, 1, 6, 1, 6, 10, 6, 2, 10, 2, 9, 5, 6, 1, 6, 6, 1, 1, 10, 1, 6, 2, 4, 1, 6, 0, 6, 1, 10, 6, 10, 6, 2, 1, 2, 10, 2, 6, 1, 1, 2, 10, 10, 2, 2, 4, 10, 10, 4, 2, 1, 10, 6, 6, 10, 1, 1, 6, 6, 1, 1, 1, 2, 2, 2, 0, 10, 1, 2, 2, 10, 1, 6, 2, 10, 6, 1, 6, 2, 6, 10, 10, 2, 6, 1, 2, 2, 2, 1, 10, 6, 10, 1, 2, 10, 10, 1, 2, 50, 2, 10, 10, 2, 1, 1, 1, 2, 6, 10, 1, 10, 6, 1, 6, 2, 1, 2, 6, 5, 1, 6, 1, 10, 2, 1, 2, 1, 10, 2, 2, 1, 2, 10, 2, 10, 10, 10, 3, 1, 1, 1, 6, 6, 2, 6, 10, 2, 1, 10, 10, 2, 10, 6, 6, 6, 6, 2, 2, 10, 2, 6, 2, 10, 10, 6, 1, 2, 2, 1, 2, 6, 1, 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6, 6, 10, 6, 1, 1, 1, 2, 6, 2, 1, 6, 1, 10, 6, 6, 2, 10, 1, 1, 2, 2, 2, 1, 6, 10, 6, 1, 6, 10, 10, 5, 6, 10, 2, 1, 1, 10, 1, 10, 10, 1, 1, 2, 2, 10, 6, 6, 2, 10, 10, 1, 10, 10, 6, 2, 6, 10, 6, 1, 1, 1, 1, 2, 2, 1, 10, 2, 0, 10, 2, 6, 2, 6, 10, 1, 6, 2, 6, 2, 1, 2, 6, 10, 6, 6, 1, 10, 2, 10, 6, 2, 6, 2, 10, 2, 1, 2, 10, 2, 1, 10, 2, 6, 6, 6, 6, 2, 6, 1, 1, 1, 10, 1, 2, 6, 6, 1, 1, 1, 4, 1, 4, 6, 2, 2, 1, 1, 10, 1, 2, 2, 2, 10, 6, 5, 10, 2, 1, 6, 2, 1, 6, 6, 6, 2, 2, 1, 2, 2, 6, 10, 1, 6, 10, 1, 10, 6, 6, 2, 1, 1, 6, 1, 6, 10, 1, 1, 2, 10, 1, 1, 6, 2, 1, 2, 1, 2, 1, 2, 6, 6, 2, 2, 6, 10, 10, 2, 10, 2, 10, 6, 2, 1, 6, 5, 1, 1, 1, 1, 1, 6, 6, 1, 6, 10, 6, 1, 10, 10, 2, 3, 2, 10, 2, 1, 1, 1, 10, 1, 1, 6, 1, 1, 1, 6, 10, 2, 2, 2, 2, 1, 4, 6, 6, 4, 1, 1, 1, 2, 2, 6, 1, 1, 6, 10, 1, 10, 2, 10, 6, 2, 4, 2, 6, 2, 10, 10, 2, 6, 2, 10, 2, 1, 10, 2, 6, 10, 1, 1, 1, 10, 2, 1, 2, 6, 2, 2, 10, 10, 1, 10, 6, 6, 6, 1, 2, 2, 10, 1, 2, 10, 1, 1, 1, 1, 1, 6, 10, 2, 10, 10, 6, 7, 6, 10, 2, 6, 2, 10, 10, 10, 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1, 10, 10, 1, 2, 1, 1, 1, 2, 1, 2, 10, 2, 6, 2, 2, 6, 2, 10, 10, 6, 2, 2, 2, 1, 6, 6, 1, 10, 2, 6, 2, 10, 6, 6, 10, 1, 1, 10, 9, 6, 10, 1, 10, 10, 2, 6, 10, 1, 10, 2, 2, 2, 6, 6, 2, 1, 2, 10, 10, 10, 6, 10, 1, 1, 10, 2, 10, 2, 10, 6, 1, 2, 6, 10, 6, 6, 1, 1, 10, 2, 6, 10, 6, 1, 1, 2, 2, 1, 2, 1, 1, 2, 6, 10, 2, 2, 2, 1, 10, 10, 6, 1, 10, 6, 10, 1, 10, 2, 6, 1, 6, 1, 1, 6, 6, 1, 10, 6, 2, 6, 1, 10, 2, 2, 6, 6, 6, 4, 1, 10, 4, 1, 1, 2, 0, 2, 6, 10, 10, 6, 2, 10, 1, 10, 2, 6, 10, 2, 2, 1, 2, 2, 2, 6, 5, 10, 10, 1, 1, 10, 2, 6, 2, 10, 10, 2, 2, 1, 4, 6, 1, 10, 2, 1, 10, 6, 6, 1, 10, 1, 2, 2, 6, 2, 10, 2, 2, 2, 2, 10, 10, 10, 6, 10, 10, 1, 6, 10, 10, 10, 6, 1, 6, 6, 2, 10, 2, 6, 2, 10, 2, 1, 1, 10, 1, 2, 6, 1, 6, 6, 6, 6, 10, 10, 10, 10, 1, 2, 1, 2, 6, 1, 2, 0, 10, 10, 10, 6, 1, 2, 6, 1, 1, 10, 2, 1, 6, 1, 6, 6, 6, 2, 2, 1, 1, 1, 2, 2, 10, 6, 6, 2, 2, 2, 6, 2, 1, 2, 10, 6, 2, 10, 1, 6, 6, 10, 2, 6, 10, 1, 10, 1, 2, 2, 1, 1, 6, 1, 2, 10, 2, 10, 10, 0, 2, 10, 2, 1, 6, 6, 10, 2, 10, 6, 2, 2, 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10, 6, 2, 1, 6, 1, 2, 1, 10, 2, 2, 2, 2, 2, 10, 1, 10, 10, 6, 1, 1, 2, 1, 10, 6, 2, 6, 6, 6, 10, 4, 1, 10, 1, 10, 2, 1, 10, 1, 2, 1, 10, 2, 2, 6, 2, 10, 2, 10, 10, 10, 1, 10, 2, 1, 2, 2, 9, 1, 1, 1, 1, 1, 1, 1, 10, 2, 6, 2, 2, 10, 1, 10, 10, 2, 1, 10, 6, 10, 2, 2, 0, 6, 10, 1, 2, 1, 2, 2, 1, 10, 1, 6, 2, 6, 2, 6, 2, 10, 1, 6, 1, 6, 1, 6, 2, 6, 2, 6, 6, 1, 1, 2, 10, 6, 10, 6, 6, 10, 2, 10, 6, 1, 1, 1, 2, 1, 6, 6, 2, 1, 5, 1, 10, 10, 10, 6, 1, 6, 6, 2, 6, 10, 6, 2, 6, 2, 1, 2, 1, 2, 1, 2, 2, 10, 6, 6, 6, 2, 1, 1, 1, 1, 10, 10, 10, 6, 6, 1, 10, 1, 1, 1, 1, 6, 6, 1, 6, 1, 1, 2, 6, 1, 6, 6, 2, 6, 6, 6, 10, 1, 1, 1, 1, 1, 2, 6, 10, 2, 2, 6, 10, 6, 2, 1, 10, 10, 1, 1, 2, 2, 6, 1, 2, 1, 1, 6, 6, 1, 6, 10, 10, 2, 10, 1, 2, 10, 1, 6, 1, 1, 6, 1, 1, 6, 2, 2, 6, 4, 1, 2, 2, 10, 6, 6, 2, 2, 6, 1, 2, 4, 1, 10, 6, 6, 2, 10, 10, 10, 6, 6, 10, 1, 6, 1, 1, 6, 1, 10, 1, 2, 6, 6, 1, 10, 6, 10, 6, 10, 6, 10, 6, 1, 2, 1, 10, 2, 1, 20, 2, 1, 10, 1, 10, 2, 2, 9, 2, 6, 10, 1, 10, 10, 1, 1, 9, 1, 6, 10, 1, 1, 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10, 10, 1, 2, 10, 6, 0, 10, 10, 2, 2, 10, 6, 2, 6, 4, 1, 2, 6, 10, 6, 2, 6, 10, 2, 6, 1, 10, 10, 1, 2, 6, 10, 10, 1, 10, 1, 2, 2, 10, 2, 10, 2, 1, 6, 10, 1, 6, 1, 6, 10, 6, 10, 2, 5, 1, 1, 10, 6, 10, 6, 1, 6, 10, 2, 1, 6, 10, 9, 10, 2, 10, 10, 10, 6, 6, 6, 2, 6, 1, 2, 6, 10, 5, 10, 6, 10, 6, 2, 1, 1, 10, 10, 2, 6, 1, 1, 1, 2, 1, 10, 6, 10, 6, 6, 5, 10, 6, 1, 10, 1, 10, 2, 10, 2, 10, 10, 2, 9, 6, 6, 1, 10, 4, 10, 10, 6, 10, 6, 6, 1, 2, 2, 1, 10, 2, 1, 1, 6, 2, 2, 1, 10, 4, 2, 1, 6, 1, 2, 4, 1, 10, 6, 2, 2, 6, 2, 6, 2, 6, 2, 10, 2, 10, 1, 6, 6, 10, 10, 2, 2, 9, 4, 1, 10, 2, 10, 10, 1, 1, 6, 6, 10, 10, 6, 10, 1, 6, 2, 2, 10, 10, 1, 6, 6, 1, 2, 6, 1, 6, 6, 6, 10, 2, 2, 1, 6, 10, 2, 10, 0, 6, 10, 6, 6, 4, 1, 2, 10, 10, 2, 2, 6, 4, 2, 2, 10, 1, 2, 1, 10, 1, 6, 10, 1, 10, 6, 1, 10, 2, 1, 2, 10, 10, 6, 1, 2, 1, 10, 1, 10, 1, 10, 1, 6, 4, 2, 2, 2, 10, 6, 1, 10, 1, 1, 6, 2, 1, 2, 2, 2, 1, 6, 6, 1, 10, 1, 10, 1, 10, 10, 0, 1, 10, 1, 1, 6, 1, 2, 10, 10, 10, 10, 6, 10, 6, 1, 1, 1, 1, 2, 6, 10, 10, 10, 2, 6, 0, 1, 1, 10, 2, 6, 1, 6, 10, 10, 2, 10, 2, 6, 6, 6, 1, 1, 6, 2, 10, 2, 10, 1, 2, 10, 6, 6, 2, 2, 6, 10, 1, 2, 6, 1, 2, 10, 12, 10, 2, 5, 2, 6, 10, 1, 2, 10, 10, 2, 1, 2, 1, 10, 2, 2, 2, 6, 6, 6, 2, 2, 2, 6, 6, 10, 6, 10, 2, 1, 2, 1, 6, 6, 2, 10, 6, 2, 1, 0, 2, 1, 2, 2, 4, 4, 6, 6, 2, 10, 6, 6, 10, 2, 1, 0, 10, 1, 6, 6, 10, 2, 2, 1, 10, 2, 2, 10, 1, 1, 6, 10, 1, 10, 2, 1, 1, 1, 2, 6, 1, 1, 6, 10, 1, 2, 6, 10, 6, 6, 1, 6, 10, 1, 6, 10, 10, 4, 2, 10, 2, 2, 1, 6, 1, 6, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 6, 2, 2, 2, 2, 1, 6, 4, 2, 10, 1, 9, 2, 2, 6, 1, 1, 1, 10, 2, 6, 10, 6, 2, 2, 1, 10, 6, 6, 1, 2, 6, 2, 5, 6, 10, 1, 10, 1, 1, 10, 6, 10, 1, 10, 6, 2, 10, 6, 2, 1, 1, 6, 6, 6, 1, 8, 10, 1, 6, 6, 10, 10, 6, 10, 10, 10, 10, 10, 1, 6, 2, 6, 2, 6, 1, 10, 6, 2, 1, 1, 6, 10, 2, 10, 1, 2, 6, 1, 2, 2, 6, 10, 6, 6, 1, 1, 6, 10, 10, 10, 10, 2, 6, 6, 10, 10, 6, 10, 6, 2, 2, 1, 6, 6, 10, 1, 2, 6, 1, 2, 6, 10, 2, 10, 9, 2, 1, 10, 2, 2, 1, 2, 1, 10, 10, 2, 2, 10, 2, 6, 2, 6, 1, 6, 9, 10, 10, 1, 6, 10, 4, 6, 6, 1, 2, 2, 6, 1, 2, 10, 2, 10, 10, 2, 10, 2, 2, 10, 1, 2, 6, 1, 1, 1, 10, 2, 2, 10, 6, 6, 2, 2, 2, 10, 10, 6, 2, 1, 2, 1, 6, 6, 10, 2, 1, 10, 10, 0, 10, 1, 10, 10, 6, 10, 2, 1, 2, 1, 6, 2, 10, 6, 1, 2, 6, 2, 1, 1, 10, 6, 6, 10, 10, 1, 10, 10, 1, 1, 10, 6, 1, 10, 2, 6, 6, 10, 2, 6, 2, 1, 1, 10, 6, 10, 1, 2, 1, 6, 1, 10, 1, 10, 2, 2, 2, 2, 6, 6, 10, 2, 5, 2, 6, 6, 1, 1, 2, 1, 10, 10, 2, 0, 6, 2, 10, 6, 10, 9, 6, 6, 2, 1, 1, 1, 10, 10, 2, 10, 10, 1, 2, 10, 6, 2, 1, 2, 10, 6, 10, 6, 10, 2, 2, 1, 2, 2, 6, 10, 6, 2, 10, 2, 2, 6, 2, 1, 2, 10, 5, 2, 10, 2, 10, 10, 1, 2, 2, 6, 6, 10, 1, 1, 2, 6, 2, 10, 2, 6, 10, 10, 9, 1, 6, 10, 1, 5, 10, 1, 10, 10, 2, 10, 2, 6, 2, 6, 0, 6, 10, 2, 2, 10, 2, 2, 1, 6, 2, 6, 10, 10, 2, 2, 10, 2, 10, 2, 10, 2, 1, 1, 10, 10, 1, 6, 2, 1, 6, 2, 1, 10, 2, 6, 1, 10, 2, 10, 2, 2, 10, 2, 2, 2, 10, 10, 1, 6, 1, 1, 2, 1, 1, 1, 2, 10, 2, 6, 10, 6, 1, 1, 2, 2, 1, 10, 1, 6, 10, 10, 6, 2, 6, 10, 10, 2, 2, 0, 10, 2, 1, 6, 2, 6, 1, 2, 2, 2, 10, 1, 10, 10, 10, 2, 6, 1, 6, 2, 10, 1, 6, 2, 10, 6, 1, 6, 6, 2, 1, 1, 1, 6, 6, 6, 2, 2, 1, 6, 10, 2, 2, 2, 2, 10, 1, 6, 10, 1, 0, 6, 2, 10, 10, 2, 10, 6, 10, 1, 1, 1, 10, 10, 6, 1, 2, 1, 2, 10, 6, 1, 2, 6, 10, 2, 10, 1, 6, 2, 1, 2, 10, 10, 2, 6, 10, 6, 2, 2, 6, 10, 10, 2, 1, 3, 10, 1, 2, 1, 2, 1, 10, 6, 6, 2, 10, 6, 1, 1, 10, 1, 10, 2, 10, 1, 2, 1, 1, 1, 10, 10, 6, 10, 6, 6, 2, 2, 10, 2, 1, 2, 6, 2, 10, 10, 2, 6, 2, 1, 1, 6, 2, 2, 6, 2, 2, 10, 2, 0, 2, 1, 1, 6, 6, 0, 6, 2, 1, 1, 6, 2, 10, 2, 1, 1, 2, 6, 2, 6, 1, 10, 10, 6, 10, 6, 6, 2, 10, 2, 10, 1, 2, 6, 2, 1, 6, 2, 10, 6, 10, 1, 1, 10, 2, 6, 2, 1, 10, 6, 10, 2, 9, 9, 10, 1, 1, 0, 1, 6, 1, 6, 2, 10, 1, 2, 1, 2, 1, 10, 10, 10, 6, 10, 1, 2, 10, 1, 2, 2, 6, 2, 9, 2, 2, 1, 1, 6, 4, 2, 6, 6, 2, 6, 6, 2, 2, 10, 2, 2, 2, 2, 2, 2, 10, 10, 10, 10, 10, 6, 10, 10, 6, 2, 10, 6, 2, 2, 2, 10, 1, 6, 10, 1, 1, 2, 1, 1, 10, 10, 1, 2, 10, 2, 5, 2, 6, 6, 1, 2, 1, 10, 6, 1, 6, 10, 10, 6, 2, 6, 2, 10, 1, 2, 10, 6, 2, 1, 6, 2, 10, 1, 10, 10, 6, 2, 6, 4, 10, 6, 10, 1, 10, 6, 6, 10, 10, 1, 2, 1, 2, 6, 6, 2, 6, 1, 10, 2, 5, 10, 2, 1, 6, 2, 1, 10, 1, 2, 1, 6, 1, 6, 1, 6, 2, 10, 6, 10, 6, 10, 2, 10, 6, 1, 2, 0, 1, 6, 40, 2, 6, 1, 1, 1, 1, 10, 1, 6, 4, 2, 10, 10, 1, 1, 6, 6, 1, 1, 1, 2, 1, 10, 10, 2, 10, 2, 10, 1, 1, 10, 2, 1, 1, 6, 2, 2, 6, 10, 10, 2, 2, 1, 6, 10, 6, 6, 2, 2, 6, 6, 10, 2, 6, 6, 1, 1, 6, 10, 10, 2, 6, 6, 5, 10, 10, 2, 2, 2, 10, 1, 10, 10, 10, 2, 2, 2, 2, 6, 1, 10, 10, 10, 10, 6, 10, 1, 1, 6, 6, 10, 2, 10, 1, 10, 6, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 10, 10, 10, 1, 1, 1, 10, 10, 6, 10, 6, 10, 1, 2, 1, 6, 2, 4, 6, 1, 6, 6, 6, 1, 1, 2, 2, 2, 1, 2, 10, 6, 1, 1, 6, 2, 10, 6, 1, 2, 6, 2, 1, 1, 6, 1, 1, 10, 1, 10, 10, 10, 1, 6, 1, 1, 2, 6, 6, 1, 2, 10, 6, 1, 0, 10, 2, 1, 6, 10, 6, 10, 1, 2, 2, 1, 10, 2, 6, 6, 1, 10, 1, 6, 1, 1, 2, 10, 6, 1, 6, 6, 10, 1, 10, 10, 2, 2, 6, 6, 10, 1, 6, 1, 10, 9, 1, 1, 1, 2, 5, 2, 2, 1, 6, 2, 2, 6, 1, 1, 10, 6, 2, 10, 2, 1, 1, 2, 2, 6, 2, 2, 6, 1, 9, 1, 1, 6, 10, 10, 6, 2, 1, 1, 2, 2, 2, 10, 6, 6, 6, 1, 6, 10, 1, 10, 10, 6, 1, 10, 1, 6, 1, 2, 10, 10, 0, 10, 6, 2, 10, 1, 6, 10, 1, 2, 6, 6, 2, 6, 1, 2, 6, 6, 2, 10, 1, 5, 1, 1, 10, 2, 2, 6, 2, 6, 10, 10, 1, 2, 2, 1, 2, 1, 10, 6, 6, 0, 10, 10, 1, 1, 1, 1, 2, 10, 6, 6, 6, 2, 6, 2, 10, 10, 10, 6, 10, 6, 10, 6, 2, 6, 10, 1, 2, 6, 10, 6, 6, 10, 10, 1, 6, 10, 2, 1, 10, 1, 2, 6, 1, 4, 1, 6, 1, 10, 10, 1, 2, 9, 2, 6, 6, 6, 6, 2, 1, 2, 1, 10, 1, 6, 1, 5, 1, 6, 1, 2, 1, 10, 10, 10, 10, 10, 2, 2, 2, 10, 6, 1, 2, 1, 6, 1, 10, 1, 2, 1, 1, 6, 6, 6, 6, 1, 6, 6, 10, 1, 6, 10, 1, 10, 10, 2, 6, 2, 2, 1, 1, 2, 10, 10, 10, 6, 60, 10, 10, 6, 10, 1, 6, 6, 10, 10, 1, 1, 1, 1, 6, 10, 6, 1, 2, 1, 6, 10, 1, 1, 1, 1, 2, 2, 2, 10, 2, 6, 6, 1, 10, 6, 5, 6, 2, 10, 1, 1, 2, 10, 10, 6, 2, 10, 6, 6, 6, 10, 1, 1, 1, 2, 2, 1, 6, 10, 6, 6, 6, 10, 1, 1, 10, 6, 6, 1, 10, 2, 6, 10, 1, 6, 6, 2, 10, 2, 2, 9, 1, 2, 10, 1, 10, 6, 1, 6, 6, 1, 6, 2, 2, 6, 2, 6, 6, 6, 1, 6, 2, 6, 1, 10, 2, 6, 10, 10, 6, 2, 10, 2, 5, 0, 6, 10, 6, 10, 2, 2, 10, 1, 6, 6, 1, 6, 6, 1, 1, 10, 2, 10, 4, 2, 1, 10, 1, 10, 1, 10, 2, 10, 6, 2, 2, 6, 10, 2, 2, 6, 2, 1, 10, 10, 6, 2, 6, 1, 6, 1, 6, 10, 10, 6, 1, 2, 2, 6, 1, 1, 1, 10, 10, 10, 10, 1, 1, 2, 10, 10, 1, 1, 6, 10, 2, 1, 10, 10, 2, 2, 1, 1, 6, 10, 2, 2, 2, 6, 1, 1, 2, 10, 1, 2, 1, 0, 6, 2, 9, 6, 10, 2, 2, 1, 10, 6, 2, 10, 6, 1, 2, 1, 1, 6, 2, 10, 6, 6, 6, 1, 10, 10, 10, 1, 10, 1, 6, 1, 10, 1, 10, 6, 10, 2, 1, 1, 1, 10, 2, 1, 2, 10, 2, 1, 6, 2, 1, 2, 1, 1, 1, 2, 2, 10, 6, 2, 2, 10, 6, 1, 2, 6, 2, 2, 1, 2, 1, 2, 1, 10, 1, 10, 2, 1, 9, 2, 6, 10, 6, 0, 6, 6, 10, 10, 10, 10, 6, 2, 6, 10, 2, 1, 2, 10, 10, 6, 2, 1, 6, 9, 1, 10, 10, 10, 6, 6, 6, 1, 1, 1, 6, 10, 2, 10, 1, 10, 10, 10, 6, 2, 6, 0, 6, 1, 6, 1, 10, 6, 2, 2, 2, 10, 10, 6, 10, 1, 2, 1, 1, 1, 2, 10, 6, 2, 6, 10, 6, 6, 1, 2, 1, 10, 2, 10, 1, 2, 6, 2, 6, 2, 10, 10, 9, 2, 7, 6, 1, 10, 2, 2, 6, 1, 10, 2, 6, 2, 6, 1, 2, 2, 10, 2, 2, 6, 6, 2, 6, 10, 1, 1, 6, 6, 1, 6, 6, 10, 1, 10, 6, 2, 1, 1, 1, 10, 10, 2, 2, 6, 0, 1, 2, 2, 6, 2, 6, 6, 6, 1, 1, 6, 10, 2, 2, 2, 2, 10, 10, 1, 2, 2, 2, 2, 1, 2, 10, 2, 2, 2, 1, 1, 2, 10, 2, 2, 2, 10, 10, 2, 1, 2, 2, 2, 1, 6, 5, 10, 10, 1, 1, 2, 9, 6, 1, 2, 10, 10, 1, 6, 6, 2, 10, 10, 6, 10, 6, 6, 10, 10, 2, 10, 1, 1, 2, 5, 10, 1, 1, 6, 2, 1, 1, 2, 6, 6, 1, 1, 10, 6, 1, 1, 2, 6, 1, 2, 2, 1, 6, 1, 1, 2, 1, 2, 2, 6, 6, 5, 2, 2, 6, 2, 1, 10, 6, 1, 6, 10, 2, 2, 1, 2, 1, 10, 2, 10, 1, 1, 6, 10, 10, 1, 10, 0, 1, 6, 2, 2, 10, 1, 6, 10, 1, 10, 1, 2, 1, 6, 2, 2, 1, 10, 2, 6, 10, 6, 2, 2, 10, 1, 2, 1, 10, 2, 1, 2, 2, 6, 1, 10, 6, 10, 6, 6, 2, 6, 10, 2, 2, 6, 2, 2, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 6, 0, 1, 1, 1, 6, 10, 2, 1, 6, 2, 6, 1, 2, 6, 2, 6, 1, 10, 10, 6, 1, 1, 6, 2, 1, 10, 2, 10, 10, 2, 1, 6, 2, 10, 1, 2, 2, 10, 1, 6, 2, 1, 1, 10, 1, 1, 10, 10, 1, 1, 2, 6, 6, 1, 6, 6, 5, 10, 6, 2, 2, 1, 2, 10, 2, 2, 6, 10, 1, 10, 6, 1, 6, 10, 2, 10, 1, 10, 6, 6, 2, 1, 6, 6, 10, 10, 6, 1, 1, 6, 6, 1, 4, 10, 6, 10, 6, 6, 10, 10, 6, 2, 6, 1, 1, 6, 10, 6, 2, 1, 6, 4, 2, 6, 10, 2, 2, 2, 6, 10, 6, 2, 2, 6, 6, 2, 1, 2, 2, 2, 6, 1, 10, 6, 1, 10, 2, 2, 10, 10, 4, 1, 10, 6, 4, 1, 10, 10, 1, 10, 10, 10, 2, 10, 2, 1, 1, 10, 6, 1, 1, 5, 10, 10, 6, 10, 10, 10, 1, 10, 1, 2, 6, 6, 6, 2, 10, 6, 10, 10, 6, 2, 2, 6, 10, 6, 6, 10, 10, 1, 6, 6, 6, 2, 10, 6, 6, 2, 1, 6, 10, 6, 5, 6, 10, 6, 2, 1, 2, 2, 10, 6, 6, 10, 2, 10, 2, 10, 2, 10, 2, 6, 6, 10, 10, 6, 6, 1, 6, 6, 1, 10, 2, 10, 2, 10, 10, 6, 2, 1, 6, 6, 10, 1, 10, 10, 2, 1, 10, 10, 6, 0, 6, 2, 6, 6, 9, 6, 6, 1, 2, 2, 6, 2, 10, 10, 2, 1, 10, 10, 1, 2, 1, 6, 1, 2, 2, 2, 10, 2, 6, 2, 2, 10, 6, 6, 10, 1, 1, 10, 6, 1, 1, 10, 6, 1, 2, 1, 1, 6, 6, 1, 6, 6, 6, 1, 10, 10, 1, 10, 6, 6, 2, 1, 2, 1, 1, 2, 2, 2, 10, 10, 1, 10, 1, 6, 6, 1, 1, 6, 1, 6, 1, 1, 10, 2, 10, 6, 10, 6, 6, 10, 2, 1, 6, 1, 2, 1, 2, 6, 10, 6, 1, 6, 9, 10, 10, 2, 2, 2, 6, 1, 1, 1, 2, 6, 1, 1, 10, 2, 2, 6, 6, 4, 1, 10, 2, 1, 10, 1, 2, 2, 10, 1, 6, 1, 2, 6, 10, 2, 2, 1, 2, 2, 1, 2, 10, 10, 6, 10, 2, 10, 2, 10, 10, 1, 1, 1, 1, 10, 10, 6, 10, 1, 1, 1, 2, 10, 1, 2, 6, 1, 6, 10, 1, 2, 1, 10, 2, 2, 1, 6, 1, 1, 6, 6, 2, 10, 10, 10, 6, 10, 1, 1, 2, 6, 6, 10, 6, 2, 1, 6, 1, 1, 2, 10, 2, 10, 1, 2, 6, 10, 1, 2, 2, 10, 6, 10, 2, 2, 1, 10, 2, 6, 1, 0, 2, 10, 2, 1, 1, 6, 6, 6, 10, 1, 1, 1, 2, 1, 10, 6, 1, 1, 6, 1, 1, 1, 1, 2, 10, 1, 10, 1, 10, 1, 1, 10, 6, 2, 2, 1, 1, 10, 2, 2, 1, 6, 2, 1, 1, 1, 6, 6, 1, 2, 1, 6, 10, 10, 1, 2, 1, 10, 1, 2, 1, 0, 1, 10, 6, 2, 10, 10, 2, 2, 6, 1, 10, 6, 6, 2, 2, 10, 0, 10, 1, 2, 6, 2, 10, 10, 2, 1, 6, 60, 6, 1, 1, 1, 10, 10, 6, 1, 10, 6, 0, 2, 6, 1, 10, 1, 1, 1, 10, 2, 6, 6, 1, 9, 2, 2, 6, 2, 1, 10, 1, 6, 6, 2, 10, 10, 6, 2, 6, 1, 6, 10, 4, 2, 1, 2, 2, 6, 1, 10, 6, 10, 6, 6, 2, 6, 6, 1, 6, 6, 1, 1, 6, 1, 2, 1, 10, 6, 6, 10, 1, 6, 1, 1, 2, 1, 1, 10, 1, 2, 6, 2, 1, 2, 10, 10, 6, 10, 10, 10, 2, 1, 2, 1, 6, 6, 2, 2, 10, 10, 10, 10, 1, 6, 10, 1, 1, 10, 0, 2, 1, 6, 1, 5, 1, 10, 6, 10, 10, 10, 6, 6, 1, 1, 10, 2, 1, 6, 2, 1, 10, 1, 2, 2, 2, 2, 6, 1, 1, 10, 1, 6, 10, 6, 10, 10, 1, 2, 2, 2, 1, 6, 10, 10, 10, 10, 2, 2, 6, 1, 2, 1, 1, 10, 1, 1, 6, 10, 1, 2, 1, 6, 10, 1, 2, 0, 10, 2, 2, 1, 2, 10, 2, 2, 2, 10, 10, 1, 10, 1, 9, 6, 1, 10, 2, 6, 2, 0, 2, 0, 10, 6, 6, 2, 10, 6, 6, 1, 2, 2, 6, 1, 2, 10, 10, 6, 1, 2, 10, 6, 10, 2, 2, 10, 2, 10, 1, 1, 2, 2, 2, 10, 1, 2, 10, 1, 6, 1, 2, 1, 1, 6, 10, 1, 2, 1, 6, 2, 1, 2, 2, 2, 6, 2, 6, 6, 1, 10, 6, 2, 2, 1, 2, 2, 10, 2, 10, 6, 10, 2, 6, 10, 2, 6, 6, 1, 2, 6, 6, 1, 2, 2, 2, 10, 6, 1, 10, 6, 10, 6, 2, 6, 10, 1, 6, 2, 1, 2, 10, 10, 1, 1, 6, 1, 1, 1, 2, 6, 10, 1, 2, 2, 10, 1, 1, 2, 6, 2, 2, 2, 1, 6, 10, 2, 6, 10, 1, 10, 1, 1, 1, 1, 2, 2, 10, 1, 1, 1, 4, 1, 6, 1, 1, 2, 10, 6, 6, 10, 2, 10, 10, 2, 1, 5, 2, 2, 6, 10, 2, 10, 1, 6, 6, 6, 10, 6, 6, 1, 10, 6, 2, 1, 10, 6, 2, 10, 10, 2, 1, 1, 1, 1, 2, 10, 10, 1, 10, 1, 10, 6, 6, 2, 10, 10, 2, 10, 1, 2, 1, 10, 6, 10, 1, 2, 6, 10, 6, 10, 2, 2, 2, 10, 5, 10, 6, 6, 6, 1, 6, 2, 2, 6, 2, 6, 9, 2, 2, 6, 1, 2, 10, 6, 10, 2, 1, 6, 10, 10, 2, 1, 6, 1, 6, 6, 10, 1, 6, 6, 6, 10, 10, 1, 1, 1, 10, 9, 6, 10, 10, 10, 2, 1, 1, 1, 1, 6, 2, 6, 6, 2, 2, 1, 1, 1, 6, 10, 10, 2, 2, 10, 2, 1, 1, 6, 1, 5, 10, 9, 10, 2, 2, 40, 6, 1, 1, 10, 6, 2, 6, 0, 10, 10, 6, 6, 1, 1, 2, 10, 10, 6, 6, 6, 6, 1, 2, 10, 6, 10, 1, 10, 6, 1, 2, 2, 10, 10, 6, 2, 2, 1, 6, 1, 1, 6, 0, 10, 2, 2, 0, 2, 10, 6, 2, 1, 2, 2, 6, 6, 10, 1, 6, 10, 6, 2, 1, 10, 6, 1, 1, 10, 1, 10, 10, 1, 2, 10, 10, 1, 2, 10, 6, 10, 6, 10, 6, 3, 1, 10, 1, 1, 1, 1, 1, 10, 1, 6, 1, 10, 2, 1, 10, 6, 10, 2, 2, 1, 6, 2, 6, 5, 2, 2, 6, 1, 2, 6, 10, 10, 9, 1, 1, 1, 2, 10, 1, 6, 1, 2, 1, 5, 6, 6, 6, 1, 10, 2, 1, 6, 6, 10, 10, 6, 6, 2, 10, 2, 6, 6, 6, 1, 2, 1, 2, 2, 1, 2, 10, 6, 6, 6, 9, 1, 2, 10, 1, 1, 8, 1, 2, 2, 6, 2, 6, 2, 1, 6, 1, 2, 10, 6, 1, 6, 10, 2, 10, 6, 9, 1, 2, 6, 1, 6, 10, 2, 6, 2, 10, 2, 2, 10, 2, 10, 2, 1, 6, 6, 2, 2, 1, 6, 2, 10, 10, 1, 6, 6, 1, 1, 10, 6, 2, 1, 10, 10, 10, 10, 2, 1, 10, 10, 2, 1, 2, 10, 2, 10, 2, 6, 1, 6, 1, 9, 2, 1, 1, 2, 6, 10, 2, 1, 10, 2, 10, 1, 6, 10, 2, 2, 10, 2, 10, 10, 4, 2, 6, 1, 1, 10, 2, 10, 6, 6, 6, 6, 10, 1, 1, 2, 6, 10, 2, 2, 1, 1, 2, 10, 4, 6, 2, 1, 1, 10, 1, 6, 1, 6, 1, 1, 6, 6, 2, 1, 6, 10, 6, 6, 2, 2, 2, 1, 10, 0, 10, 1, 6, 10, 1, 2, 6, 6, 1, 6, 10, 2, 2, 10, 5, 6, 10, 2, 1, 1, 1, 6, 10, 1, 2, 1, 1, 10, 10, 5, 6, 10, 1, 10, 2, 10, 2, 2, 2, 10, 1, 1, 6, 10, 6, 2, 1, 2, 10, 1, 6, 1, 10, 6, 6, 6, 2, 10, 1, 10, 1, 6, 2, 2, 6, 6, 2, 10, 2, 10, 6, 6, 2, 10, 2, 2, 1, 1, 1, 10, 1, 6, 0, 10, 10, 2, 6, 1, 6, 10, 6, 2, 1, 10, 10, 2, 1, 6, 1, 6, 1, 1, 6, 60, 10, 10, 10, 6, 6, 1, 1, 1, 1, 1, 10, 2, 2, 10, 10, 10, 10, 2, 6, 6, 1, 10, 6, 2, 6, 6, 10, 6, 1, 6, 6, 1, 2, 10, 10, 10, 6, 6, 2, 10, 6, 2, 2, 10, 10, 1, 0, 10, 2, 1, 6, 10, 1, 1, 1, 10, 10, 6, 6, 1, 2, 6, 1, 1, 2, 2, 2, 2, 1, 10, 1, 10, 1, 2, 10, 6, 10, 6, 6, 1, 10, 2, 10, 2, 2, 10, 6, 1, 10, 2, 1, 10, 1, 5, 6, 10, 1, 10, 1, 10, 2, 10, 2, 1, 2, 6, 1, 2, 6, 10, 10, 2, 10, 2, 1, 6, 6, 10, 6, 6, 6, 2, 10, 10, 2, 10, 10, 1, 10, 6, 1, 1, 2, 1, 1, 6, 2, 1, 10, 6, 6, 0, 6, 6, 10, 2, 2, 6, 2, 1, 1, 1, 2, 2, 2, 6, 2, 6, 10, 6, 1, 10, 2, 1, 6, 1, 6, 1, 6, 10, 10, 2, 2, 6, 6, 10, 1, 2, 6, 10, 10, 1, 1, 2, 1, 6, 10, 10, 1, 10, 6, 2, 4, 6, 4, 10, 0, 2, 1, 1, 10, 2, 2, 1, 6, 2, 2, 2, 6, 6, 10, 1, 1, 2, 2, 2, 10, 1, 1, 6, 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10, 6, 2, 1, 1, 2, 6, 6, 10, 1, 2, 10, 2, 6, 6, 1, 1, 10, 2, 6, 2, 2, 6, 1, 6, 1, 1, 0, 1, 2, 6, 6, 1, 6, 10, 1, 6, 10, 10, 6, 2, 6, 10, 10, 1, 10, 10, 10, 1, 1, 1, 6, 10, 1, 6, 10, 2, 1, 6, 10, 10, 2, 10, 2, 6, 10, 10, 6, 1, 1, 6, 6, 10, 1, 6, 6, 6, 0, 6, 10, 2, 1, 6, 6, 10, 1, 2, 6, 1, 6, 1, 1, 2, 2, 10, 1, 1, 2, 1, 1, 1, 6, 10, 6, 10, 10, 1, 10, 2, 2, 2, 10, 2, 1, 2, 6, 2, 6, 2, 10, 6, 1, 1, 6, 10, 2, 2, 1, 6, 2, 6, 10, 6, 10, 6, 6, 6, 10, 9, 2, 9, 2, 1, 1, 2, 2, 2, 2, 10, 2, 10, 2, 10, 1, 6, 2, 1, 6, 6, 6, 6, 6, 1, 6, 4, 6, 6, 2, 0, 1, 2, 1, 10, 10, 2, 10, 10, 2, 2, 10, 1, 10, 2, 2, 10, 1, 6, 0, 2, 6, 2, 1, 10, 1, 10, 2, 10, 6, 6, 9, 2, 1, 1, 10, 2, 10, 2, 2, 2, 1, 10, 10, 6, 10, 4, 6, 10, 6, 6, 10, 6, 9, 10, 2, 1, 2, 10, 10, 6, 10, 10, 1, 10, 6, 10, 1, 1, 10, 10, 10, 6, 2, 1, 2, 1, 6, 2, 2, 1, 10, 10, 2, 10, 1, 10, 6, 10, 2, 6, 6, 2, 10, 2, 2, 1, 2, 2, 10, 2, 10, 1, 1, 2, 6, 0, 10, 1, 9, 6, 2, 1, 6, 2, 6, 2, 2, 2, 6, 10, 1, 2, 10, 1, 2, 2, 6, 2, 2, 2, 2, 2, 1, 2, 2, 6, 2, 10, 10, 6, 10, 6, 2, 1, 2, 1, 1, 6, 1, 10, 10, 2, 6, 10, 6, 10, 2, 2, 2, 2, 2, 6, 1, 6, 1, 2, 6, 1, 2, 2, 10, 1, 10, 6, 10, 6, 1, 1, 6, 2, 1, 10, 10, 2, 1, 2, 1, 6, 1, 10, 10, 10, 2, 2, 2, 2, 4, 10, 2, 6, 1, 1, 10, 2, 6, 1, 10, 2, 1, 2, 1, 2, 10, 2, 6, 6, 10, 1, 2, 5, 10, 10, 6, 1, 6, 0, 6, 1, 10, 10, 1, 6, 1, 2, 6, 10, 2, 2, 10, 2, 2, 1, 10, 2, 2, 1, 1, 0, 6, 1, 10, 10, 1, 2, 1, 1, 10, 1, 10, 10, 1, 1, 1, 1, 2, 10, 10, 2, 1, 1, 6, 1, 10, 1, 6, 2, 6, 6, 2, 6, 10, 1, 2, 1, 1, 2, 6, 2, 2, 1, 4, 1, 6, 4, 10, 1, 2, 2, 10, 4, 6, 6, 1, 2, 6, 1, 2, 2, 6, 1, 2, 6, 2, 6, 2, 6, 10, 6, 6, 2, 6, 6, 6, 6, 1, 2, 1, 1, 2, 2, 2, 1, 10, 1, 1, 6, 10, 9, 1, 1, 10, 2, 6, 2, 2, 10, 2, 1, 2, 10, 10, 5, 10, 1, 1, 2, 10, 1, 6, 10, 10, 6, 10, 6, 6, 6, 2, 10, 10, 9, 10, 6, 10, 1, 1, 1, 2, 2, 2, 1, 1, 10, 6, 6, 6, 6, 6, 10, 2, 2, 1, 1, 10, 2, 6, 2, 10, 2, 1, 1, 2, 10, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 10, 10, 10, 6, 10, 6, 1, 10, 2, 10, 10, 10, 2, 1, 1, 10, 1, 2, 1, 1, 1, 6, 1, 1, 6, 6, 1, 10, 6, 6, 2, 10, 2, 1, 6, 2, 1, 4, 2, 1, 1, 10, 1, 1, 2, 10, 40, 2, 2, 2, 6, 2, 1, 2, 10, 10, 1, 6, 2, 1, 1, 2, 6, 1, 0, 2, 6, 10, 1, 10, 6, 6, 2, 2, 10, 2, 2, 2, 10, 2, 10, 4, 6, 1, 10, 10, 2, 1, 10, 2, 2, 2, 10, 10, 6, 6, 10, 10, 2, 1, 1, 9, 1, 10, 10, 1, 2, 10, 6, 1, 10, 1, 2, 6, 2, 1, 2, 1, 6, 2, 10, 2, 10, 6, 6, 6, 10, 6, 6, 2, 10, 2, 2, 6, 10, 6, 1, 2, 0, 1, 6, 1, 6, 10, 10, 1, 5, 10, 1, 10, 1, 1, 1, 10, 6, 6, 9, 1, 6, 2, 2, 2, 1, 10, 2, 2, 2, 6, 10, 0, 6, 10, 2, 10, 1, 1, 1, 10, 10, 6, 6, 6, 1, 10, 10, 2, 1, 2, 6, 10, 0, 6, 10, 6, 6, 10, 6, 10, 10, 1, 10, 2, 1, 1, 6, 1, 6, 2, 1, 1, 6, 1, 2, 6, 2, 6, 1, 1, 6, 6, 2, 2, 1, 1, 10, 10, 1, 2, 4, 10, 10, 1, 1, 10, 10, 10, 1, 1, 10, 6, 4, 2, 6, 6, 10, 2, 10, 10, 10, 10, 6, 1, 6, 2, 1, 6, 6, 1, 10, 3, 2, 10, 1, 4, 6, 2, 6, 10, 6, 2, 1, 10, 10, 1, 6, 6, 10, 6, 1, 10, 2, 9, 10, 10, 2, 10, 6, 1, 1, 6, 10, 6, 6, 6, 4, 1, 2, 2, 6, 2, 10, 6, 2, 10, 2, 2, 10, 1, 2, 2, 2, 6, 1, 1, 2, 1, 6, 6, 6, 6, 1, 10, 1, 1, 10, 1, 1, 1, 1, 2, 10, 2, 10, 2, 6, 2, 2, 2, 2, 1, 6, 1, 1, 2, 6, 10, 6, 10, 1, 1, 6, 6, 10, 2, 2, 0, 10, 2, 2, 2, 6, 10, 1, 1, 2, 2, 6, 2, 10, 2, 5, 1, 6, 2, 1, 2, 1, 10, 1, 2, 2, 10, 2, 2, 2, 6, 1, 6, 6, 9, 6, 6, 6, 10, 1, 4, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 2, 1, 6, 4, 6, 6, 1, 2, 4, 10, 1, 1, 1, 10, 1, 5, 6, 1, 2, 2, 2, 6, 10, 2, 2, 10, 6, 4, 10, 10, 6, 6, 1, 10, 6, 1, 10, 2, 2, 6, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 6, 6, 6, 6, 6, 10, 6, 10, 10, 10, 6, 2, 10, 2, 1, 6, 6, 2, 10, 6, 6, 2, 2, 6, 10, 2, 6, 0, 1, 6, 1, 10, 6, 9, 10, 6, 2, 10, 1, 10, 10, 2, 9, 2, 10, 6, 2, 6, 2, 2, 2, 2, 2, 10, 1, 6, 10, 1, 1, 1, 1, 1, 2, 10, 2, 6, 10, 1, 1, 1, 1, 1, 1, 10, 1, 6, 1, 2, 6, 6, 6, 6, 10, 2, 10, 1, 2, 9, 2, 1, 1, 10, 10, 1, 10, 1, 6, 1, 2, 2, 6, 10, 10, 2, 10, 2, 1, 1, 10, 10, 2, 10, 1, 1, 6, 1, 6, 6, 2, 10, 1, 6, 6, 6, 10, 2, 1, 2, 2, 1, 2, 6, 2, 2, 2, 10, 1, 6, 6, 10, 10, 2, 1, 10, 2, 1, 6, 1, 6, 1, 10, 10, 10, 6, 1, 6, 6, 1, 6, 2, 2, 6, 1, 1, 1, 4, 2, 10, 4, 1, 6, 10, 1, 2, 1, 6, 1, 10, 6, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 10, 10, 2, 2, 2, 6, 1, 1, 6, 2, 10, 6, 2, 6, 6, 10, 1, 2, 10, 6, 6, 10, 1, 10, 6, 1, 10, 2, 5, 1, 6, 2, 10, 6, 2, 10, 6, 6, 10, 1, 10, 10, 2, 10, 6, 10, 6, 5, 6, 6, 2, 6, 10, 1, 10, 1, 6, 1, 10, 2, 10, 2, 6, 1, 1, 6, 2, 1, 2, 6, 2, 1, 6, 10, 1, 1, 10, 10, 2, 6, 10, 2, 10, 6, 6, 2, 10, 6, 1, 6, 2, 2, 6, 2, 4, 2, 2, 10, 10, 6, 6, 2, 6, 10, 2, 2, 10, 1, 1, 2, 10, 1, 2, 1, 6, 6, 6, 1, 1, 6, 10, 6, 10, 2, 2, 1, 10, 1, 2, 2, 10, 10, 10, 1, 1, 2, 6, 1, 10, 1, 6, 2, 6, 10, 10, 6, 2, 1, 2, 2, 1, 6, 6, 10, 2, 10, 5, 1, 1, 2, 10, 6, 1, 1, 1, 1, 1, 1, 2, 10, 1, 2, 6, 1, 6, 2, 6, 10, 6, 2, 2, 1, 6, 9, 1, 6, 1, 2, 10, 1, 10, 10, 2, 10, 2, 1, 6, 10, 2, 10, 10, 2, 1, 1, 10, 2, 10, 2, 1, 1, 6, 10, 10, 6, 2, 1, 6, 6, 6, 10, 4, 10, 6, 6, 10, 6, 6, 1, 2, 6, 10, 10, 10, 6, 10, 6, 1, 1, 10, 6, 10, 2, 6, 4, 2, 1, 1, 6, 2, 2, 6, 6, 1, 2, 2, 2, 2, 6, 2, 6, 10, 6, 1, 1, 6, 2, 10, 10, 10, 0, 10, 6, 6, 2, 10, 10, 1, 10, 10, 1, 1, 40, 6, 1, 10, 6, 2, 10, 2, 1, 6, 10, 6, 10, 10, 6, 1, 1, 1, 10, 2, 1, 10, 6, 10, 10, 1, 1, 10, 2, 1, 2, 1, 10, 1, 2, 10, 2, 6, 10, 2, 3, 10, 6, 10, 2, 10, 10, 10, 2, 1, 6, 10, 1, 6, 2, 2, 10, 2, 6, 6, 1, 10, 1, 6, 6, 6, 0, 10, 2, 6, 2, 1, 1, 1, 2, 1, 2, 1, 10, 1, 10, 6, 1, 1, 10, 2, 1, 2, 6, 2, 6, 10, 10, 2, 1, 1, 1, 6, 2, 2, 1, 1, 1, 6, 1, 1, 6, 1, 2, 1, 1, 10, 10, 1, 10, 2, 6, 6, 6, 2, 10, 1, 10, 10, 1, 6, 10, 6, 6, 6, 6, 10, 10, 2, 10, 1, 6, 2, 6, 4, 2, 10, 1, 1, 6, 10, 6, 6, 6, 6, 1, 1, 10, 1, 1, 6, 6, 6, 1, 1, 6, 6, 10, 2, 2, 6, 1, 1, 6, 1, 6, 10, 6, 6, 10, 1, 2, 2, 1, 6, 2, 2, 10, 6, 6, 2, 1, 2, 6, 10, 2, 2, 6, 10, 2, 2, 1, 2, 10, 1, 10, 6, 2, 10, 1, 2, 2, 2, 10, 10, 10, 9, 1, 1, 2, 2, 6, 10, 1, 1, 1, 2, 10, 6, 2, 2, 2, 6, 1, 10, 10, 6, 6, 2, 2, 2, 10, 6, 6, 10, 1, 1, 1, 1, 10, 10, 10, 2, 2, 2, 1, 1, 6, 10, 6, 10, 10, 0, 10, 6, 0, 6, 2, 10, 10, 6, 5, 6, 2, 10, 2, 1, 10, 1, 6, 6, 2, 0, 6, 1, 2, 10, 10, 2, 6, 10, 6, 4, 10, 6, 10, 1, 1, 4, 10, 2, 10, 2, 2, 1, 10, 1, 2, 2, 2, 6, 0, 6, 6, 6, 6, 1, 2, 1, 6, 1, 0, 10, 2, 1, 10, 1, 2, 6, 6, 6, 2, 6, 6, 1, 1, 10, 10, 1, 1, 2, 2, 2, 10, 10, 2, 2, 6, 1, 2, 10, 10, 10, 10, 6, 10, 2, 2, 1, 0, 6, 6, 2, 2, 1, 6, 1, 9, 10, 10, 2, 6, 0, 40, 2, 6, 1, 6, 9, 1, 1, 10, 1, 2, 1, 1, 2, 6, 10, 10, 2, 1, 5, 10, 2, 6, 10, 6, 1, 10, 10, 10, 1, 2, 1, 2, 2, 6, 6, 6, 6, 10, 10, 10, 6, 6, 2, 10, 2, 6, 10, 10, 6, 10, 10, 10, 2, 6, 2, 6, 1, 2, 10, 10, 6, 1, 2, 1, 6, 10, 10, 2, 6, 2, 10, 2, 2, 10, 10, 1, 6, 6, 6, 10, 10, 2, 1, 1, 1, 10, 6, 1, 2, 2, 10, 6, 10, 6, 2, 2, 10, 6, 1, 2, 6, 10, 6, 1, 1, 6, 6, 0, 6, 6, 2, 10, 1, 2, 0, 1, 0, 10, 6, 6, 4, 10, 6, 6, 10, 1, 2, 2, 2, 1, 10, 2, 2, 4, 0, 10, 6, 6, 2, 4, 10, 6, 10, 1, 6, 6, 2, 2, 1, 2, 10, 2, 1, 6, 10, 2, 10, 4, 6, 6, 10, 2, 2, 10, 2, 2, 10, 6, 0, 10, 6, 2, 10, 2, 10, 10, 10, 10, 10, 2, 10, 1, 2, 10, 6, 6, 10, 2, 10, 6, 1, 2, 6, 10, 1, 2, 2, 10, 10, 10, 2, 2, 1, 6, 10, 10, 1, 1, 2, 1, 6, 1, 10, 10, 10, 6, 1, 1, 1, 1, 10, 1, 6, 2, 10, 1, 4, 1, 6, 1, 2, 10, 6, 10, 1, 9, 2, 10, 2, 2, 2, 10, 2, 10, 1, 10, 2, 1, 10, 1, 10, 6, 10, 2, 1, 6, 0, 10, 6, 10, 1, 6, 1, 1, 6, 6, 2, 2, 10, 2, 6, 10, 2, 10, 2, 6, 1, 10, 6, 4, 1, 1, 6, 10, 2, 1, 2, 2, 1, 6, 1, 2, 2, 6, 1, 10, 1, 6, 10, 10, 2, 10, 1, 6, 2, 2, 2, 1, 1, 10, 2, 10, 10, 1, 6, 10, 10, 6, 6, 10, 10, 6, 6, 1, 10, 2, 6, 10, 10, 6, 2, 10, 2, 2, 2, 1, 6, 2, 1, 10, 6, 10, 6, 1, 10, 2, 6, 10, 2, 2, 6, 2, 10, 1, 10, 6, 6, 1, 10, 10, 0, 2, 6, 10, 10, 6, 2, 1, 1, 10, 1, 6, 10, 1, 1, 1, 2, 0, 1, 10, 6, 1, 2, 10, 2, 10, 10, 6, 6, 2, 1, 6, 1, 10, 6, 1, 6, 2, 10, 1, 9, 10, 1, 10, 6, 10, 6, 1, 1, 2, 10, 2, 1, 10, 6, 2, 6, 1, 10, 1, 10, 6, 1, 2, 10, 10, 6, 1, 1, 1, 6, 2, 10, 6, 10, 10, 10, 6, 10, 10, 6, 10, 1, 6, 6, 6, 2, 1, 10, 6, 6, 1, 10, 6, 2, 2, 10, 10, 6, 6, 9, 6, 1, 2, 2, 2, 1, 1, 6, 10, 10, 6, 6, 2, 6, 6, 1, 1, 6, 10, 10, 2, 6, 6, 2, 6, 2, 9, 6, 2, 2, 10, 6, 2, 10, 1, 1, 6, 1, 1, 6, 6, 1, 10, 6, 9, 10, 4, 6, 10, 10, 1, 6, 1, 2, 9, 6, 10, 6, 1, 6, 1, 10, 10, 10, 2, 10, 6, 6, 2, 6, 6, 6, 2, 2, 1, 10, 6, 2, 1, 1, 6, 1, 10, 6, 1, 6, 2, 10, 1, 1, 6, 10, 10, 1, 1, 2, 10, 1, 6, 10, 10, 10, 5, 10, 10, 2, 1, 1, 1, 6, 6, 2, 2, 1, 2, 1, 10, 6, 1, 2, 1, 1, 10, 1, 2, 6, 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6, 2, 2, 10, 0, 9, 2, 6, 6, 10, 1, 6, 2, 1, 1, 6, 2, 6, 2, 6, 2, 2, 1, 10, 1, 1, 6, 10, 1, 0, 2, 1, 1, 6, 2, 10, 2, 6, 2, 1, 10, 2, 2, 6, 1, 10, 2, 10, 9, 6, 1, 6, 10, 1, 2, 10, 6, 1, 2, 10, 2, 1, 2, 1, 6, 2, 10, 6, 1, 2, 10, 10, 10, 2, 2, 6, 2, 2, 1, 6, 4, 6, 6, 1, 10, 2, 1, 10, 10, 10, 10, 10, 2, 1, 6, 2, 1, 1, 6, 1, 10, 10, 10, 1, 10, 1, 6, 6, 2, 6, 6, 6, 6, 2, 10, 2, 1, 10, 2, 1, 4, 6, 2, 6, 10, 2, 2, 10, 1, 6, 10, 2, 5, 6, 2, 2, 6, 6, 1, 0, 6, 1, 6, 10, 2, 2, 2, 10, 1, 1, 2, 10, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 1, 10, 6, 10, 5, 2, 2, 10, 2, 2, 1, 2, 1, 9, 10, 1, 2, 1, 1, 6, 2, 1, 6, 6, 10, 6, 10, 10, 5, 2, 10, 1, 1, 10, 6, 1, 2, 2, 1, 10, 2, 6, 2, 10, 1, 10, 1, 1, 1, 6, 1, 6, 1, 2, 6, 1, 5, 2, 2, 1, 6, 6, 10, 1, 2, 2, 6, 1, 1, 10, 10, 4, 6, 2, 1, 6, 10, 1, 1, 6, 10, 2, 6, 1, 6, 2, 1, 2, 6, 6, 1, 10, 10, 6, 10, 6, 6, 2, 1, 1, 6, 6, 2, 6, 1, 6, 6, 6, 10, 1, 1, 10, 6, 6, 2, 2, 6, 1, 10, 10, 6, 10, 10, 2, 6, 1, 2, 10, 2, 1, 1, 2, 10, 10, 6, 1, 2, 1, 2, 10, 6, 1, 2, 1, 10, 1, 1, 6, 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6, 1, 1, 1, 1, 10, 2, 1, 6, 6, 4, 10, 1, 6, 10, 6, 10, 10, 6, 1, 10, 1, 6, 10, 10, 2, 1, 1, 2, 10, 1, 6, 2, 1, 1, 6, 2, 6, 1, 10, 6, 6, 6, 1, 6, 2, 6, 10, 6, 10, 1, 2, 0, 1, 10, 6, 9, 2, 10, 2, 10, 10, 10, 1, 6, 6, 2, 10, 1, 2, 1, 2, 6, 6, 6, 1, 6, 10, 6, 2, 1, 2, 6, 2, 6, 1, 10, 1, 10, 1, 6, 2, 1, 10, 2, 1, 10, 10, 1, 6, 1, 1, 6, 6, 1, 6, 1, 6, 10, 10, 1, 6, 10, 10, 1, 1, 1, 2, 40, 10, 2, 1, 6, 2, 1, 1, 6, 6, 6, 10, 6, 10, 2, 6, 0, 10, 10, 6, 2, 10, 1, 10, 2, 6, 1, 2, 6, 6, 10, 6, 10, 1, 1, 6, 6, 10, 10, 1, 2, 2, 2, 6, 1, 6, 10, 2, 1, 10, 10, 10, 2, 2, 10, 1, 10, 0, 1, 1, 10, 2, 10, 1, 7, 0, 6, 10, 10, 10, 2, 1, 1, 1, 6, 2, 1, 2, 10, 6, 2, 6, 10, 1, 1, 6, 3, 1, 2, 1, 2, 6, 2, 2, 4, 1, 2, 10, 1, 1, 6, 2, 10, 2, 1, 1, 1, 2, 10, 1, 1, 2, 1, 10, 2, 10, 10, 6, 10, 10, 1, 2, 6, 1, 6, 10, 2, 2, 10, 2, 6, 6, 2, 1, 4, 6, 10, 6, 6, 6, 2, 10, 1, 2, 1, 6, 6, 10, 1, 1, 10, 6, 1, 1, 2, 10, 2, 2, 1, 1, 6, 6, 2, 6, 6, 10, 2, 1, 5, 10, 2, 6, 10, 6, 10, 10, 10, 1, 6, 2, 1, 2, 1, 10, 10, 1, 2, 10, 6, 10, 6, 10, 2, 2, 1, 2, 10, 6, 5, 1, 6, 2, 6, 6, 1, 1, 2, 2, 10, 2, 6, 1, 10, 10, 6, 10, 2, 6, 6, 6, 1, 6, 2, 10, 2, 10, 2, 6, 1, 6, 6, 10, 1, 6, 1, 6, 10, 6, 6, 1, 6, 60, 10, 10, 6, 6, 2, 10, 2, 6, 10, 6, 60, 2, 1, 1, 10, 1, 1, 10, 2, 1, 10, 1, 2, 1, 2, 10, 6, 1, 1, 0, 1, 10, 6, 2, 2, 1, 2, 1, 4, 1, 2, 1, 1, 10, 6, 1, 10, 2, 2, 4, 10, 2, 2, 10, 10, 2, 2, 10, 6, 1, 6, 2, 6, 2, 6, 6, 10, 10, 0, 10, 2, 2, 10, 10, 10, 1, 10, 1, 6, 2, 10, 10, 1, 2, 1, 2, 1, 1, 6, 6, 4, 2, 10, 10, 10, 6, 6, 10, 1, 10, 10, 2, 6, 1, 10, 10, 2, 1, 1, 10, 1, 1, 6, 6, 6, 2, 1, 2, 10, 1, 6, 2, 6, 1, 2, 10, 10, 1, 10, 1, 10, 6, 6, 2, 10, 2, 6, 1, 9, 10, 2, 2, 1, 2, 9, 6, 1, 1, 1, 1, 2, 10, 2, 2, 10, 10, 2, 5, 10, 6, 1, 2, 2, 10, 1, 10, 6, 6, 10, 2, 2, 6, 10, 1, 6, 10, 2, 10, 1, 10, 1, 6, 1, 10, 6, 6, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 6, 10, 6, 6, 1, 2, 6, 1, 1, 2, 2, 10, 2, 2, 1, 6, 10, 10, 2, 6, 2, 1, 10, 0, 10, 10, 10, 2, 10, 2, 10, 6, 10, 10, 10, 10, 6, 10, 1, 10, 2, 10, 1, 6, 1, 6, 1, 2, 1, 1, 2, 1, 6, 2, 2, 2, 1, 1, 10, 6, 10, 2, 2, 10, 2, 0, 6, 10, 2, 2, 6, 6, 10, 2, 1, 6, 2, 6, 1, 6, 2, 10, 1, 1, 10, 1, 6, 1, 1, 1, 1, 10, 6, 10, 1, 10, 1, 10, 6, 10, 1, 2, 7, 6, 1, 1, 10, 2, 6, 1, 4, 6, 1, 6, 6, 2, 10, 10, 1, 6, 1, 6, 1, 6, 10, 10, 2, 6, 6, 10, 6, 10, 2, 2, 1, 5, 10, 6, 10, 10, 10, 10, 10, 6, 1, 10, 1, 6, 10, 1, 5, 2, 10, 1, 10, 2, 10, 10, 1, 10, 2, 6, 2, 10, 2, 2, 10, 2, 5, 6, 6, 1, 2, 0, 2, 2, 6, 10, 1, 6, 10, 2, 2, 10, 2, 10, 10, 10, 1, 1, 2, 10, 6, 2, 2, 1, 2, 10, 10, 6, 6, 1, 10, 2, 6, 1, 0, 6, 1, 2, 6, 1, 6, 6, 2, 2, 1, 1, 1, 10, 10, 10, 10, 6, 2, 10, 6, 2, 2, 10, 2, 2, 1, 6, 6, 6, 6, 10, 10, 2, 6, 1, 6, 6, 1, 1, 6, 2, 2, 10, 2, 1, 0, 1, 6, 2, 1, 10, 2, 2, 1, 1, 5, 10, 10, 2, 2, 6, 1, 1, 1, 2, 1, 1, 1, 6, 1, 6, 2, 6, 1, 6, 1, 1, 2, 2, 6, 6, 6, 1, 2, 6, 10, 10, 40, 2, 2, 10, 10, 1, 6, 6, 2, 2, 10, 6, 6, 1, 4, 6, 2, 0, 10, 1, 6, 2, 2, 6, 10, 6, 6, 10, 0, 10, 10, 10, 2, 1, 10, 1, 2, 1, 6, 6, 2, 10, 6, 2, 10, 1, 10, 1, 9, 2, 10, 2, 10, 2, 6, 10, 6, 1, 2, 10, 2, 6, 10, 4, 10, 1, 1, 10, 10, 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6, 10, 1, 2, 2, 10, 2, 10, 1, 1, 6, 10, 6, 6, 6, 2, 2, 1, 10, 2, 1, 2, 0, 6, 2, 2, 2, 2, 1, 6, 10, 0, 1, 10, 1, 10, 2, 2, 2, 2, 1, 10, 1, 2, 1, 2, 10, 10, 1, 10, 10, 10, 2, 6, 6, 10, 10, 9, 1, 10, 1, 2, 1, 2, 2, 1, 6, 1, 5, 10, 1, 2, 6, 2, 10, 2, 1, 2, 1, 1, 2, 1, 6, 10, 2, 1, 2, 1, 10, 1, 1, 6, 2, 6, 6, 1, 10, 0, 6, 10, 10, 1, 1, 6, 6, 1, 6, 10, 2, 2, 10, 1, 6, 2, 2, 10, 1, 2, 5, 6, 6, 6, 6, 6, 10, 2, 1, 1, 2, 10, 6, 1, 1, 10, 10, 1, 10, 2, 2, 10, 6, 6, 2, 2, 10, 1, 10, 1, 1, 6, 1, 6, 6, 10, 6, 1, 6, 1, 6, 2, 10, 2, 1, 2, 2, 6, 10, 6, 1, 1, 2, 9, 1, 2, 6, 2, 10, 1, 2, 2, 1, 2, 10, 6, 2, 9, 6, 2, 1, 2, 10, 2, 1, 10, 2, 1, 6, 9, 1, 2, 1, 1, 10, 10, 6, 9, 2, 6, 10, 1, 1, 2, 6, 6, 1, 2, 10, 6, 10, 2, 10, 1, 10, 10, 6, 6, 1, 1, 2, 1, 2, 6, 6, 6, 10, 6, 10, 6, 6, 2, 6, 10, 2, 6, 1, 10, 10, 5, 2, 6, 6, 6, 6, 10, 10, 10, 2, 2, 10, 10, 10, 6, 6, 10, 10, 10, 10, 6, 10, 10, 10, 2, 6, 2, 4, 10, 6, 10, 10, 2, 10, 2, 1, 1, 2, 1, 10, 1, 2, 1, 6, 10, 6, 2, 10, 6, 10, 10, 1, 2, 6, 6, 6, 1, 1, 0, 6, 6, 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6, 6, 1, 2, 6, 10, 6, 2, 4, 2, 1, 6, 10, 1, 6, 6, 2, 6, 2, 2, 10, 9, 2, 1, 10, 1, 10, 10, 6, 2, 10, 1, 6, 1, 10, 10, 2, 1, 2, 1, 2, 6, 6, 1, 10, 1, 9, 10, 1, 2, 10, 6, 2, 10, 1, 1, 1, 2, 2, 6, 1, 2, 1, 1, 10, 6, 1, 6, 10, 2, 6, 10, 2, 6, 6, 10, 6, 10, 6, 10, 10, 2, 2, 2, 1, 10, 1, 2, 10, 2, 6, 10, 10, 2, 2, 10, 10, 10, 2, 2, 10, 1, 2, 10, 10, 2, 1, 1, 1, 2, 1, 6, 6, 2, 10, 2, 1, 4, 1, 10, 6, 6, 6, 1, 2, 2, 0, 2, 10, 2, 1, 10, 6, 2, 6, 6, 1, 10, 10, 1, 6, 6, 10, 6, 1, 2, 6, 2, 10, 1, 1, 6, 2, 1, 6, 2, 6, 6, 1, 3, 6, 6, 10, 2, 1, 10, 10, 10, 10, 1, 2, 1, 10, 1, 1, 10, 10, 2, 2, 10, 10, 10, 1, 2, 10, 0, 6, 10, 1, 6, 6, 10, 2, 1, 2, 6, 1, 6, 6, 2, 2, 6, 1, 6, 2, 2, 10, 2, 2, 1, 0, 2, 2, 10, 10, 6, 6, 1, 6, 2, 2, 6, 6, 1, 10, 10, 10, 2, 6, 2, 10, 1, 2, 1, 6, 10, 10, 6, 1, 2, 2, 2, 1, 2, 10, 1, 10, 6, 10, 1, 2, 6, 10, 6, 1, 1, 1, 10, 1, 2, 6, 1, 6, 1, 10, 1, 6, 10, 1, 10, 2, 2, 10, 5, 2, 1, 1, 10, 10, 6, 2, 10, 2, 6, 10, 2, 1, 2, 10, 1, 6, 6, 1, 1, 10, 6, 6, 6, 6, 10, 2, 6, 6, 6, 1, 10, 6, 7, 1, 2, 2, 2, 1, 1, 6, 10, 2, 1, 6, 2, 1, 10, 10, 10, 2, 2, 2, 10, 6, 6, 10, 1, 1, 2, 6, 1, 1, 6, 6, 1, 10, 2, 1, 1, 2, 6, 10, 4, 1, 2, 1, 6, 1, 2, 2, 10, 6, 2, 2, 1, 5, 6, 6, 0, 6, 6, 10, 10, 2, 10, 1, 6, 2, 6, 5, 2, 1, 2, 6, 10, 1, 0, 10, 6, 1, 1, 2, 2, 1, 10, 1, 2, 6, 10, 6, 6, 1, 1, 1, 6, 6, 10, 6, 1, 6, 10, 10, 9, 2, 6, 2, 6, 2, 1, 6, 10, 10, 6, 6, 1, 6, 6, 6, 10, 2, 6, 1, 10, 10, 1, 6, 10, 6, 1, 1, 10, 2, 2, 6, 2, 10, 2, 10, 2, 10, 6, 2, 6, 6, 2, 1, 1, 10, 10, 1, 10, 1, 1, 1, 4, 10, 1, 2, 1, 6, 10, 2, 10, 1, 10, 6, 6, 2, 10, 10, 1, 1, 6, 5, 6, 2, 10, 2, 2, 6, 6, 1, 10, 1, 1, 6, 10, 10, 2, 2, 2, 2, 10, 1, 2, 6, 10, 6, 1, 1, 6, 6, 1, 1, 10, 1, 10, 10, 10, 10, 9, 10, 5, 6, 2, 6, 6, 1, 6, 2, 2, 6, 2, 2, 1, 6, 2, 1, 1, 2, 4, 1, 10, 2, 2, 10, 10, 6, 6, 10, 2, 10, 10, 6, 1, 1, 10, 9, 2, 10, 10, 10, 2, 2, 6, 1, 2, 2, 6, 10, 1, 2, 1, 10, 10, 6, 2, 5, 6, 6, 0, 2, 1, 6, 2, 6, 1, 1, 10, 2, 2, 2, 10, 1, 2, 10, 1, 7, 6, 6, 10, 6, 1, 6, 10, 6, 6, 10, 1, 2, 1, 10, 1, 1, 2, 2, 1, 2, 10, 10, 10, 2, 6, 6, 10, 10, 2, 6, 6, 10, 10, 6, 10, 10, 9, 1, 2, 6, 6, 2, 10, 2, 6, 1, 10, 10, 2, 2, 10, 10, 10, 6, 1, 1, 10, 2, 2, 2, 10, 1, 6, 6, 2, 6, 5, 10, 2, 1, 2, 6, 9, 1, 6, 1, 2, 1, 2, 10, 2, 1, 6, 10, 10, 6, 10, 10, 10, 6, 10, 1, 2, 10, 1, 2, 1, 10, 10, 10, 1, 3, 1, 6, 1, 2, 6, 6, 6, 1, 1, 10, 1, 6, 6, 6, 1, 6, 1, 2, 2, 2, 1, 6, 2, 6, 2, 10, 6, 0, 10, 10, 2, 6, 1, 2, 1, 10, 1, 6, 2, 1, 10, 10, 1, 6, 2, 6, 6, 10, 2, 2, 6, 6, 6, 1, 2, 6, 10, 10, 1, 10, 2, 6, 6, 10, 2, 1, 2, 6, 1, 2, 6, 1, 2, 2, 2, 2, 6, 6, 1, 1, 1, 10, 1, 2, 0, 10, 10, 6, 2, 10, 6, 4, 10, 10, 10, 1, 2, 6, 6, 6, 6, 10, 6, 1, 6, 6, 6, 6, 6, 6, 6, 10, 1, 6, 6, 2, 10, 1, 10, 6, 6, 6, 4, 1, 10, 6, 2, 2, 6, 10, 10, 2, 10, 1, 6, 1, 10, 6, 1, 10, 2, 6, 0, 1, 1, 4, 2, 2, 9, 2, 10, 6, 10, 10, 1, 10, 4, 9, 2, 6, 2, 1, 10, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 10, 6, 10, 2, 10, 2, 2, 2, 6, 1, 6, 6, 6, 6, 1, 6, 10, 2, 6, 10, 10, 6, 1, 10, 2, 10, 6, 10, 6, 1, 1, 10, 2, 2, 1, 2, 6, 2, 10, 1, 1, 6, 2, 6, 2, 2, 1, 2, 2, 10, 1, 2, 0, 6, 2, 10, 2, 6, 6, 2, 6, 2, 2, 1, 2, 10, 6, 2, 6, 6, 2, 6, 1, 6, 4, 1, 6, 10, 9, 1, 1, 2, 2, 1, 6, 2, 10, 10, 1, 1, 2, 1, 6, 10, 10, 1, 2, 1, 2, 10, 6, 1, 10, 10, 1, 10, 6, 10, 1, 6, 10, 2, 10, 2, 10, 6, 1, 10, 0, 10, 2, 6, 1, 1, 10, 10, 2, 6, 10, 10, 2, 6, 10, 2, 10, 6, 2, 10, 1, 1, 10, 6, 10, 2, 6, 10, 6, 4, 10, 2, 1, 6, 6, 10, 2, 6, 3, 6, 6, 2, 1, 1, 6, 1, 2, 6, 6, 10, 10, 10, 1, 2, 6, 2, 6, 1, 1, 1, 6, 10, 2, 6, 2, 1, 10, 10, 2, 2, 10, 10, 1, 1, 1, 10, 6, 2, 1, 1, 1, 6, 10, 10, 6, 1, 1, 1, 10, 2, 6, 1, 2, 10, 1, 10, 2, 2, 1, 2, 6, 10, 10, 2, 10, 6, 1, 2, 6, 6, 2, 2, 1, 1, 10, 1, 10, 2, 2, 6, 0, 6, 1, 10, 10, 2, 10, 10, 10, 0, 2, 1, 6, 1, 6, 10, 1, 2, 2, 2, 6, 1, 1, 6, 6, 6, 4, 2, 1, 6, 10, 2, 6, 6, 1, 10, 5, 9, 6, 10, 10, 6, 10, 2, 2, 10, 2, 6, 2, 6, 2, 10, 2, 10, 2, 1, 10, 1, 1, 2, 1, 10, 5, 10, 2, 6, 2, 10, 10, 6, 2, 1, 6, 10, 1, 10, 10, 0, 2, 1, 2, 6, 10, 2, 1, 1, 1, 2, 2, 1, 6, 1, 10, 1, 1, 2, 6, 10, 1, 2, 2, 1, 1, 2, 9, 1, 6, 1, 10, 1, 1, 1, 10, 10, 6, 2, 2, 1, 1, 10, 2, 10, 2, 6, 10, 1, 6, 6, 10, 10, 1, 2, 2, 10, 4, 10, 10, 2, 10, 6, 6, 9, 10, 1, 10, 2, 10, 6, 6, 6, 6, 1, 10, 2, 6, 10, 10, 6, 10, 10, 1, 1, 1, 2, 10, 10, 1, 1, 6, 6, 2, 1, 2, 1, 2, 6, 1, 2, 10, 6, 10, 2, 2, 10, 2, 5, 6, 10, 1, 2, 10, 6, 1, 10, 1, 1, 2, 10, 6, 1, 10, 10, 1, 10, 10, 1, 2, 10, 6, 10, 1, 10, 1, 10, 6, 2, 2, 6, 4, 10, 6, 2, 2, 6, 1, 2, 2, 1, 2, 1, 2, 10, 6, 1, 2, 10, 1, 10, 6, 1, 5, 2, 2, 10, 2, 6, 10, 10, 1, 2, 1, 2, 1, 2, 4, 2, 2, 6, 0, 1, 5, 10, 1, 10, 1, 1, 10, 10, 10, 1, 10, 2, 6, 2, 6, 2, 10, 2, 10, 1, 2, 10, 10, 10, 2, 6, 1, 1, 10, 1, 1, 4, 2, 1, 4, 1, 6, 10, 10, 2, 2, 1, 1, 10, 1, 2, 10, 10, 10, 2, 2, 10, 6, 6, 2, 10, 2, 10, 6, 2, 0, 2, 6, 1, 1, 10, 6, 10, 1, 2, 1, 10, 6, 10, 2, 10, 10, 6, 6, 2, 10, 6, 4, 6, 1, 2, 5, 2, 6, 6, 6, 6, 0, 1, 10, 1, 6, 10, 10, 1, 6, 10, 2, 2, 6, 2, 1, 1, 6, 4, 1, 1, 0, 2, 2, 1, 10, 2, 2, 10, 10, 6, 1, 2, 6, 1, 4, 6, 1, 10, 2, 1, 10, 10, 10, 6, 2, 6, 10, 2, 1, 1, 10, 2, 1, 2, 2, 2, 10, 10, 6, 2, 10, 2, 1, 10, 2, 1, 2, 10, 1, 6, 2, 2, 1, 6, 2, 1, 1, 2, 2, 1, 6, 2, 2, 1, 2, 10, 2, 2, 1, 10, 6, 1, 2, 2, 6, 6, 2, 10, 2, 2, 2, 10, 6, 2, 1, 1, 1, 1, 1, 1, 1, 10, 1, 10, 10, 6, 10, 2, 1, 1, 1, 1, 6, 2, 7, 10, 2, 10, 10, 2, 9, 6, 1, 9, 6, 10, 2, 1, 10, 6, 6, 2, 2, 6, 2, 2, 6, 1, 2, 1, 10, 1, 1, 10, 1, 6, 1, 1, 2, 1, 10, 10, 1, 10, 10, 1, 1, 6, 10, 1, 9, 6, 2, 6, 1, 2, 2, 2, 1, 2, 2, 1, 10, 6, 6, 10, 6, 2, 6, 2, 2, 6, 10, 10, 10, 2, 6, 2, 1, 6, 6, 1, 1, 6, 6, 1, 2, 6, 2, 6, 2, 6, 6, 2, 6, 10, 4, 2, 10, 6, 2, 10, 10, 1, 10, 10, 6, 2, 10, 1, 1, 2, 2, 6, 6, 10, 2, 2, 6, 2, 2, 2, 1, 1, 1, 10, 1, 10, 2, 10, 2, 1, 6, 2, 10, 10, 6, 1, 6, 10, 1, 6, 6, 2, 1, 6, 2, 2, 2, 2, 10, 10, 10, 6, 10, 6, 2, 10, 6, 6, 6, 2, 2, 2, 6, 2, 10, 1, 1, 6, 6, 2, 6, 2, 2, 10, 6, 2, 0, 6, 2, 1, 6, 1, 1, 2, 10, 1, 6, 10, 10, 6, 5, 10, 6, 2, 10, 1, 2, 2, 5, 1, 1, 1, 6, 10, 2, 2, 2, 1, 10, 2, 6, 1, 1, 1, 2, 1, 10, 1, 10, 2, 10, 10, 2, 6, 1, 9, 6, 6, 6, 1, 6, 10, 10, 1, 10, 0, 6, 1, 10, 2, 1, 4, 1, 6, 6, 10, 2, 6, 1, 6, 10, 2, 6, 2, 10, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 6, 1, 2, 10, 1, 10, 1, 10, 6, 6, 2, 2, 6, 10, 2, 1, 10, 1, 2, 10, 6, 60, 1, 6, 6, 1, 2, 10, 2, 1, 6, 6, 2, 1, 1, 6, 6, 6, 10, 6, 10, 1, 2, 2, 1, 10, 2, 6, 10, 1, 6, 1, 1, 10, 1, 10, 1, 6, 10, 2, 5, 2, 1, 1, 2, 1, 6, 6, 2, 1, 6, 6, 1, 6, 1, 6, 10, 10, 4, 1, 1, 1, 2, 1, 1, 2, 1, 6, 2, 1, 1, 4, 10, 2, 6, 1, 10, 2, 2, 1, 6, 10, 10, 1, 6, 6, 2, 2, 2, 2, 2, 6, 2, 2, 1, 2, 1, 6, 2, 2, 10, 1, 6, 2, 2, 1, 10, 2, 6, 6, 10, 2, 1, 2, 2, 1, 1, 6, 1, 2, 6, 2, 2, 2, 6, 10, 10, 6, 6, 10, 10, 2, 2, 10, 0, 10, 1, 6, 5, 10, 2, 2, 10, 2, 2, 2, 2, 2, 10, 6, 2, 6, 2, 2, 2, 6, 10, 6, 2, 1, 6, 10, 1, 2, 2, 2, 9, 6, 6, 1, 6, 2, 1, 1, 10, 2, 6, 1, 1, 10, 6, 2, 2, 10, 6, 2, 10, 2, 2, 10, 2, 6, 1, 10, 10, 1, 10, 6, 1, 1, 10, 6, 1, 1, 2, 2, 10, 1, 6, 6, 2, 6, 6, 1, 6, 1, 6, 6, 2, 10, 1, 6, 6, 6, 2, 2, 10, 10, 6, 2, 2, 10, 1, 10, 6, 2, 1, 6, 1, 6, 1, 2, 10, 1, 2, 1, 2, 2, 1, 10, 10, 2, 2, 10, 10, 0, 10, 6, 10, 1, 10, 2, 10, 2, 10, 1, 6, 10, 6, 1, 1, 10, 1, 10, 1, 2, 10, 6, 2, 10, 6, 6, 1, 6, 1, 1, 10, 4, 6, 10, 10, 6, 10, 1, 2, 10, 2, 1, 1, 1, 1, 10, 10, 6, 2, 10, 10, 1, 10, 6, 6, 10, 2, 1, 1, 10, 10, 1, 10, 1, 2, 2, 10, 2, 2, 10, 10, 10, 6, 6, 1, 10, 1, 1, 10, 1, 6, 10, 2, 2, 10, 2, 1, 2, 6, 2, 1, 10, 10, 2, 6, 1, 9, 1, 1, 1, 2, 2, 10, 10, 2, 2, 10, 6, 2, 6, 1, 10, 1, 6, 6, 6, 6, 6, 2, 1, 9, 10, 10, 6, 2, 6, 10, 2, 2, 2, 6, 6, 1, 2, 2, 1, 10, 2, 1, 6, 6, 10, 1, 1, 1, 2, 2, 1, 10, 1, 10, 6, 1, 6, 10, 2, 1, 2, 6, 2, 6, 6, 2, 1, 10, 10, 6, 1, 1, 6, 1, 2, 0, 2, 2, 2, 10, 10, 10, 1, 6, 2, 6, 1, 1, 6, 6, 6, 1, 10, 1, 10, 10, 2, 6, 10, 1, 10, 1, 6, 10, 6, 2, 6, 2, 2, 2, 10, 1, 6, 2, 6, 6, 10, 1, 10, 6, 10, 2, 10, 2, 1, 1, 2, 2, 6, 1, 6, 6, 2, 10, 9, 1, 1, 6, 1, 1, 10, 1, 1, 6, 2, 10, 6, 6, 2, 10, 6, 2, 6, 6, 1, 6, 2, 1, 10, 2, 2, 6, 1, 1, 1, 2, 10, 2, 6, 6, 1, 2, 10, 1, 10, 2, 2, 10, 10, 10, 10, 1, 6, 6, 6, 10, 2, 6, 1, 2, 2, 10, 1, 10, 10, 1, 1, 10, 6, 2, 6, 10, 10, 1, 10, 2, 2, 2, 1, 2, 2, 10, 1, 2, 10, 10, 1, 1, 6, 6, 2, 2, 2, 6, 6, 2, 1, 5, 6, 2, 2, 6, 10, 2, 2, 1, 6, 2, 6, 1, 1, 2, 10, 1, 2, 1, 6, 1, 2, 2, 10, 10, 2, 9, 6, 2, 2, 6, 6, 10, 10, 10, 1, 1, 6, 2, 6, 1, 10, 2, 6, 1, 2, 10, 6, 10, 4, 6, 6, 5, 6, 1, 2, 6, 6, 2, 6, 10, 10, 1, 2, 2, 6, 2, 10, 2, 1, 6, 10, 10, 10, 2, 1, 2, 10, 6, 1, 1, 1, 6, 1, 1, 2, 1, 10, 6, 1, 2, 6, 1, 10, 10, 10, 6, 10, 6, 10, 1, 10, 2, 2, 6, 1, 1, 1, 2, 10, 10, 10, 10, 1, 2, 10, 10, 2, 1, 10, 1, 6, 2, 2, 2, 6, 2, 10, 6, 6, 1, 6, 2, 6, 10, 1, 1, 0, 2, 6, 10, 10, 10, 2, 6, 10, 10, 6, 6, 1, 6, 10, 1, 10, 9, 1, 1, 6, 10, 2, 1, 2, 6, 1, 6, 2, 10, 10, 1, 1, 10, 10, 2, 10, 6, 0, 10, 2, 2, 1, 10, 6, 1, 1, 1, 6, 6, 1, 10, 10, 6, 10, 5, 1, 1, 6, 2, 1, 10, 6, 1, 1, 2, 2, 10, 6, 2, 50, 1, 1, 1, 6, 2, 6, 10, 6, 1, 10, 10, 2, 2, 2, 2, 1, 10, 1, 1, 10, 10, 1, 4, 6, 1, 6, 10, 6, 10, 10, 10, 10, 1, 1, 10, 6, 1, 10, 2, 9, 6, 10, 2, 10, 10, 2, 6, 1, 10, 1, 5, 1, 6, 6, 1, 2, 10, 2, 2, 10, 6, 1, 6, 10, 1, 2, 2, 2, 10, 1, 6, 1, 6, 1, 10, 10, 6, 6, 2, 10, 2, 2, 6, 2, 2, 6, 6, 1, 10, 2, 10, 4, 10, 10, 6, 6, 6, 10, 2, 1, 1, 6, 6, 10, 1, 1, 6, 1, 1, 1, 10, 1, 10, 1, 10, 5, 2, 4, 6, 1, 1, 10, 2, 1, 1, 1, 10, 9, 1, 2, 4, 6, 10, 10, 10, 1, 6, 2, 2, 1, 1, 6, 2, 9, 2, 1, 6, 1, 1, 6, 6, 6, 2, 10, 6, 6, 2, 6, 1, 1, 1, 10, 10, 2, 10, 6, 1, 2, 10, 6, 10, 1, 2, 1, 2, 10, 1, 10, 2, 10, 10, 1, 10, 6, 2, 2, 1, 1, 9, 2, 1, 10, 1, 2, 10, 1, 2, 9, 2, 6, 9, 1, 5, 10, 10, 6, 1, 6, 2, 10, 1, 1, 10, 2, 6, 2, 10, 10, 1, 1, 10, 1, 10, 1, 2, 6, 10, 10, 2, 10, 2, 1, 10, 2, 1, 1, 2, 10, 2, 10, 1, 1, 10, 2, 1, 10, 1, 2, 1, 1, 1, 6, 1, 10, 1, 6, 6, 10, 2, 6, 6, 10, 2, 10, 10, 6, 2, 1, 2, 2, 1, 6, 2, 4, 2, 6, 1, 1, 10, 2, 6, 4, 2, 1, 2, 6, 2, 2, 1, 2, 10, 1, 2, 2, 2, 10, 1, 10, 10, 2, 10, 6, 2, 1, 10, 2, 6, 1, 10, 10, 10, 10, 2, 2, 6, 1, 2, 1, 6, 10, 2, 6, 1, 1, 2, 1, 2, 2, 4, 6, 6, 6, 2, 6, 1, 6, 10, 6, 2, 2, 10, 2, 10, 50, 1, 2, 1, 1, 1, 10, 1, 6, 6, 9, 6, 10, 6, 2, 10, 10, 2, 6, 10, 10, 2, 1, 1, 1, 1, 6, 2, 10, 1, 6, 2, 6, 6, 2, 10, 1, 1, 1, 10, 10, 10, 1, 1, 1, 10, 1, 9, 2, 10, 2, 2, 6, 10, 10, 6, 6, 2, 1, 6, 10, 1, 1, 1, 10, 2, 6, 6, 6, 10, 6, 6, 1, 1, 10, 2, 10, 10, 6, 10, 6, 10, 1, 10, 10, 10, 1, 10, 6, 1, 6, 2, 1, 10, 10, 2, 10, 10, 6, 10, 1, 6, 6, 6, 10, 10, 10, 2, 2, 6, 10, 2, 6, 10, 2, 1, 6, 1, 2, 9, 1, 10, 2, 5, 6, 6, 1, 1, 10, 1, 2, 1, 2, 6, 2, 1, 1, 10, 0, 10, 10, 1, 2, 1, 6, 6, 2, 10, 10, 10, 1, 0, 2, 6, 2, 10, 1, 6, 2, 2, 1, 1, 10, 6, 1, 2, 2, 10, 10, 10, 1, 6, 10, 6, 6, 6, 10, 10, 10, 1, 10, 6, 10, 10, 6, 6, 6, 2, 10, 10, 1, 1, 2, 6, 2, 1, 10, 1, 6, 6, 6, 1, 6, 6, 6, 10, 6, 10, 2, 1, 2, 6, 6, 2, 10, 10, 2, 10, 10, 10, 10, 10, 10, 10, 6, 6, 1, 1, 0, 2, 2, 1, 2, 10, 2, 2, 1, 6, 1, 10, 10, 1, 2, 6, 10, 2, 6, 2, 1, 2, 10, 6, 1, 6, 1, 10, 10, 2, 2, 6, 1, 10, 1, 2, 6, 2, 10, 6, 10, 1, 2, 2, 2, 2, 10, 6, 1, 1, 6, 1, 2, 9, 2, 2, 6, 1, 10, 10, 2, 6, 6, 2, 10, 2, 1, 6, 6, 2, 6, 1, 6, 2, 10, 1, 10, 2, 6, 2, 2, 10, 6, 2, 10, 2, 6, 6, 2, 1, 2, 6, 10, 6, 2, 2, 6, 1, 1, 10, 6, 10, 1, 1, 1, 6, 2, 10, 1, 2, 10, 6, 6, 1, 10, 1, 10, 10, 1, 10, 2, 10, 6, 6, 4, 10, 1, 10, 1, 6, 10, 6, 10, 2, 6, 1, 6, 2, 2, 10, 10, 6, 6, 10, 10, 1, 2, 10, 6, 10, 6, 9, 1, 6, 2, 10, 6, 1, 2, 2, 1, 1, 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2, 6, 10, 10, 10, 6, 1, 2, 2, 6, 1, 1, 6, 1, 1, 10, 6, 6, 2, 1, 1, 1, 1, 2, 1, 1, 10, 10, 6, 1, 10, 10, 2, 6, 1, 10, 1, 1, 10, 5, 6, 10, 6, 10, 2, 2, 2, 1, 6, 10, 10, 10, 2, 6, 1, 10, 1, 6, 5, 2, 10, 6, 6, 9, 2, 6, 6, 1, 6, 2, 2, 1, 6, 1, 2, 6, 1, 2, 6, 6, 10, 2, 10, 2, 10, 10, 1, 1, 2, 10, 1, 6, 6, 6, 2, 6, 6, 6, 10, 2, 6, 10, 1, 10, 10, 6, 6, 2, 1, 10, 1, 1, 10, 6, 10, 1, 2, 10, 10, 10, 0, 10, 6, 10, 2, 10, 6, 10, 2, 6, 10, 10, 10, 0, 2, 1, 6, 6, 10, 10, 1, 1, 6, 1, 1, 10, 4, 1, 1, 10, 2, 6, 1, 1, 1, 1, 10, 1, 6, 6, 1, 6, 1, 2, 1, 10, 1, 6, 2, 2, 10, 6, 10, 2, 2, 1, 10, 2, 1, 1, 2, 2, 2, 10, 2, 2, 10, 2, 10, 9, 6, 1, 10, 1, 10, 2, 6, 1, 6, 6, 1, 10, 10, 6, 6, 10, 2, 2, 6, 6, 10, 2, 2, 10, 2, 10, 1, 10, 2, 10, 10, 2, 2, 6, 6, 10, 10, 2, 10, 1, 6, 1, 1, 10, 1, 1, 1, 2, 6, 1, 6, 1, 1, 1, 6, 10, 6, 6, 1, 6, 10, 10, 1, 2, 6, 1, 1, 2, 6, 10, 10, 6, 2, 2, 6, 4, 10, 1, 2, 2, 6, 6, 10, 6, 1, 10, 10, 10, 2, 6, 2, 4, 1, 10, 10, 10, 2, 6, 2, 1, 2, 2, 2, 10, 6, 2, 10, 6, 1, 6, 10, 10, 2, 2, 9, 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1, 10, 6, 2, 2, 2, 6, 2, 1, 10, 10, 4, 10, 10, 6, 1, 1, 6, 6, 2, 2, 10, 2, 10, 2, 10, 2, 1, 1, 2, 10, 6, 6, 10, 10, 1, 10, 10, 1, 10, 1, 2, 1, 1, 2, 6, 6, 10, 10, 6, 1, 1, 2, 9, 1, 10, 1, 6, 1, 1, 2, 6, 10, 1, 6, 1, 1, 10, 4, 10, 10, 6, 1, 2, 2, 7, 1, 1, 1, 10, 10, 5, 10, 10, 6, 6, 2, 2, 1, 10, 6, 6, 10, 1, 6, 6, 10, 6, 1, 1, 10, 1, 6, 10, 1, 10, 1, 6, 6, 6, 2, 1, 0, 10, 6, 2, 10, 2, 1, 10, 1, 6, 1, 2, 1, 1, 10, 6, 6, 6, 6, 1, 1, 1, 10, 2, 6, 2, 10, 6, 6, 2, 10, 6, 10, 6, 6, 2, 10, 6, 2, 2, 2, 10, 10, 10, 1, 1, 1, 2, 2, 6, 10, 1, 6, 10, 6, 2, 2, 2, 6, 2, 2, 6, 2, 5, 6, 1, 6, 10, 2, 6, 10, 2, 1, 1, 10, 6, 6, 2, 2, 2, 6, 10, 10, 2, 1, 1, 2, 2, 2, 6, 6, 6, 2, 10, 1, 10, 2, 2, 10, 6, 2, 2, 1, 10, 2, 10, 6, 1, 2, 10, 10, 1, 2, 10, 2, 2, 10, 10, 10, 6, 1, 2, 10, 1, 10, 0, 6, 2, 6, 1, 10, 2, 6, 10, 1, 10, 1, 2, 6, 6, 2, 6, 2, 10, 2, 10, 1, 10, 10, 6, 2, 6, 10, 1, 1, 1, 10, 10, 10, 10, 1, 2, 10, 6, 10, 2, 1, 6, 10, 2, 10, 1, 6, 2, 1, 2, 6, 2, 2, 6, 2, 6, 2, 2, 10, 2, 10, 6, 2, 1, 2, 6, 6, 2, 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2, 6, 1, 6, 1, 6, 1, 10, 1, 10, 1, 6, 1, 1, 1, 1, 10, 6, 6, 10, 2, 2, 1, 1, 10, 1, 10, 2, 1, 1, 1, 1, 10, 10, 1, 1, 6, 10, 10, 2, 6, 1, 6, 2, 10, 2, 1, 6, 1, 10, 6, 1, 10, 2, 1, 1, 10, 10, 1, 6, 2, 1, 1, 2, 6, 2, 2, 5, 1, 6, 10, 6, 10, 10, 6, 10, 2, 10, 6, 2, 1, 10, 1, 10, 6, 10, 1, 10, 1, 10, 6, 10, 6, 1, 2, 10, 10, 6, 6, 10, 1, 1, 2, 2, 2, 6, 6, 1, 10, 1, 6, 1, 10, 10, 2, 9, 1, 10, 6, 1, 2, 5, 2, 10, 10, 1, 2, 10, 6, 1, 6, 1, 1, 10, 2, 2, 6, 6, 10, 10, 10, 1, 10, 10, 6, 6, 10, 6, 1, 2, 10, 2, 10, 6, 1, 6, 2, 2, 10, 2, 1, 2, 1, 1, 1, 6, 10, 2, 1, 6, 6, 2, 10, 1, 6, 6, 1, 6, 9, 10, 10, 2, 2, 10, 0, 1, 6, 10, 2, 6, 2, 6, 2, 0, 10, 10, 2, 1, 2, 1, 9, 1, 10, 9, 6, 1, 0, 2, 6, 2, 6, 10, 2, 10, 1, 10, 10, 10, 6, 6, 10, 6, 10, 1, 1, 5, 10, 2, 2, 2, 10, 2, 10, 1, 10, 6, 10, 2, 1, 6, 6, 10, 2, 2, 1, 2, 6, 2, 10, 1, 6, 10, 2, 2, 2, 1, 10, 1, 2, 10, 6, 2, 6, 2, 1, 2, 2, 6, 6, 1, 1, 10, 6, 2, 10, 6, 1, 2, 2, 10, 10, 2, 6, 10, 1, 6, 1, 10, 6, 4, 6, 2, 2, 10, 1, 1, 6, 2, 2, 10, 6, 2, 10, 1, 10, 1, 1, 1, 6, 2, 2, 10, 10, 2, 10, 1, 1, 1, 6, 2, 1, 10, 6, 10, 10, 6, 10, 6, 2, 6, 6, 10, 2, 6, 2, 6, 6, 6, 1, 10, 2, 10, 10, 6, 10, 2, 10, 2, 1, 1, 0, 6, 10, 2, 10, 6, 10, 2, 6, 1, 6, 10, 6, 2, 6, 1, 10, 10, 6, 10, 10, 4, 2, 10, 1, 2, 10, 1, 6, 10, 2, 50, 10, 1, 6, 10, 2, 10, 1, 1, 1, 1, 1, 1, 2, 6, 6, 2, 1, 2, 1, 2, 6, 6, 6, 2, 1, 10, 6, 6, 10, 10, 1, 6, 1, 1, 10, 10, 6, 6, 1, 10, 10, 2, 0, 2, 6, 10, 1, 2, 40, 6, 1, 2, 10, 10, 2, 2, 6, 1, 6, 6, 2, 10, 10, 1, 10, 2, 2, 2, 6, 1, 2, 2, 1, 1, 6, 2, 0, 2, 1, 2, 1, 2, 10, 6, 10, 2, 6, 6, 6, 6, 10, 1, 6, 2, 6, 0, 1, 1, 10, 6, 1, 2, 6, 6, 2, 2, 1, 1, 6, 1, 6, 2, 2, 10, 10, 1, 2, 2, 6, 1, 1, 10, 2, 10, 6, 1, 10, 6, 6, 1, 6, 10, 2, 1, 1, 1, 2, 2, 1, 6, 10, 0, 1, 2, 1, 10, 6, 6, 10, 6, 2, 1, 50, 6, 10, 6, 10, 10, 6, 1, 1, 10, 1, 10, 1, 10, 10, 1, 6, 6, 0, 10, 2, 10, 6, 2, 6, 10, 2, 2, 1, 10, 1, 10, 2, 1, 1, 1, 1, 10, 1, 1, 1, 2, 10, 1, 10, 2, 10, 10, 6, 1, 6, 6, 6, 1, 1, 10, 1, 2, 1, 1, 6, 2, 6, 10, 10, 5, 10, 10, 5, 10, 6, 1, 6, 6, 1, 6, 2, 2, 1, 6, 10, 1, 2, 1, 10, 10, 10, 10, 6, 1, 10, 10, 1, 10, 2, 1, 6, 6, 10, 1, 2, 2, 10, 2, 6, 10, 10, 2, 10, 1, 1, 6, 2, 2, 6, 10, 6, 6, 2, 2, 2, 1, 10, 10, 1, 2, 6, 5, 6, 6, 1, 6, 1, 2, 1, 1, 1, 6, 2, 2, 1, 1, 2, 2, 10, 9, 2, 6, 1, 6, 2, 1, 1, 6, 1, 6, 6, 1, 1, 6, 2, 1, 2, 2, 1, 10, 1, 1, 1, 2, 6, 10, 10, 10, 10, 1, 10, 10, 6, 6, 2, 6, 1, 10, 1, 1, 10, 10, 6, 6, 6, 10, 10, 1, 10, 2, 10, 1, 2, 2, 6, 6, 10, 6, 2, 10, 10, 1, 6, 6, 6, 6, 10, 1, 6, 2, 10, 10, 6, 6, 6, 10, 1, 1, 10, 6, 1, 6, 6, 10, 2, 10, 1, 10, 10, 1, 10, 10, 6, 10, 1, 10, 1, 10, 2, 6, 10, 2, 2, 6, 6, 1, 10, 10, 1, 6, 6, 1, 1, 1, 4, 10, 1, 10, 10, 2, 10, 6, 1, 10, 10, 2, 10, 6, 10, 10, 4, 6, 1, 1, 1, 1, 6, 1, 6, 2, 10, 6, 10, 2, 10, 2, 1, 2, 6, 6, 10, 10, 2, 2, 10, 6, 2, 1, 10, 2, 10, 2, 6, 6, 6, 6, 6, 2, 2, 1, 10, 2, 2, 1, 1, 1, 1, 10, 2, 1, 10, 10, 6, 6, 10, 6, 1, 10, 10, 5, 10, 6, 6, 2, 2, 2, 6, 2, 1, 6, 1, 2, 10, 2, 2, 6, 10, 6, 1, 10, 10, 6, 2, 2, 10, 10, 1, 2, 6, 2, 1, 6, 1, 10, 2, 10, 2, 6, 2, 2, 10, 1, 10, 10, 2, 1, 2, 10, 6, 6, 6, 10, 6, 1, 1, 6, 1, 2, 6, 1, 1, 10, 10, 1, 2, 1, 1, 10, 1, 1, 2, 2, 6, 10, 6, 6, 2, 2, 10, 4, 1, 2, 6, 1, 6, 6, 1, 6, 10, 1, 2, 2, 10, 6, 2, 10, 1, 10, 10, 10, 2, 0, 10, 10, 6, 6, 10, 10, 2, 1, 1, 6, 10, 6, 2, 1, 2, 1, 10, 1, 0, 2, 1, 2, 2, 1, 10, 6, 2, 2, 2, 10, 2, 6, 10, 10, 0, 2, 2, 1, 2, 6, 2, 2, 10, 1, 1, 2, 2, 10, 1, 1, 6, 1, 6, 10, 10, 2, 6, 6, 1, 6, 4, 2, 1, 2, 6, 10, 10, 6, 2, 10, 2, 2, 1, 1, 1, 3, 6, 10, 10, 2, 6, 2, 10, 1, 2, 1, 2, 2, 2, 10, 2, 1, 10, 6, 1, 10, 10, 1, 2, 6, 1, 2, 2, 10, 10, 6, 10, 1, 2, 6, 1, 1, 6, 10, 5, 6, 10, 2, 1, 1, 2, 10, 1, 1, 6, 5, 2, 2, 6, 1, 6, 1, 1, 4, 1, 1, 2, 10, 2, 2, 6, 1, 10, 10, 10, 6, 2, 6, 1, 10, 6, 6, 2, 2, 10, 6, 10, 2, 10, 10, 1, 6, 1, 2, 10, 2, 10, 1, 2, 2, 1, 1, 6, 6, 1, 10, 10, 10, 6, 6, 10, 10, 1, 6, 2, 2, 10, 6, 1, 6, 1, 6, 2, 6, 6, 10, 10, 6, 6, 10, 1, 10, 2, 1, 2, 6, 10, 1, 6, 2, 10, 2, 1, 1, 10, 2, 6, 1, 2, 2, 1, 2, 2, 6, 2, 2, 6, 6, 10, 1, 10, 6, 1, 1, 1, 1, 2, 1, 6, 1, 2, 2, 2, 6, 2, 6, 6, 2, 2, 1, 1, 6, 1, 10, 10, 9, 6, 1, 1, 10, 6, 6, 1, 2, 6, 10, 1, 10, 10, 10, 6, 2, 1, 10, 2, 2, 2, 6, 1, 6, 10, 6, 6, 1, 1, 6, 1, 10, 2, 6, 1, 2, 1, 6, 1, 6, 2, 1, 9, 2, 2, 2, 2, 2, 6, 1, 2, 10, 1, 10, 10, 10, 6, 10, 1, 2, 2, 6, 2, 1, 6, 6, 2, 6, 2, 1, 6, 10, 1, 1, 10, 1, 2, 1, 1, 10, 1, 0, 1, 10, 10, 2, 6, 10, 2, 6, 2, 1, 2, 1, 2, 2, 6, 10, 2, 2, 10, 2, 1, 6, 1, 1, 10, 2, 2, 1, 10, 6, 2, 10, 2, 6, 1, 2, 5, 1, 1, 1, 6, 6, 6, 1, 6, 6, 2, 0, 2, 6, 1, 6, 10, 10, 1, 10, 4, 4, 2, 4, 1, 10, 6, 6, 2, 0, 2, 6, 10, 1, 2, 6, 1, 2, 6, 6, 10, 1, 6, 10, 10, 10, 10, 2, 1, 2, 10, 10, 1, 6, 10, 10, 6, 1, 10, 2, 2, 6, 6, 2, 2, 10, 6, 1, 5, 6, 1, 6, 1, 2, 1, 2, 10, 2, 6, 6, 10, 6, 2, 1, 2, 2, 1, 10, 2, 10, 6, 6, 10, 2, 1, 2, 10, 1, 6, 1, 10, 4, 1, 1, 6, 2, 2, 10, 6, 1, 6, 10, 6, 1, 10, 6, 6, 6, 10, 2, 6, 1, 2, 6, 2, 10, 1, 2, 2, 2, 1, 6, 6, 6, 2, 6, 2, 1, 2, 2, 10, 6, 6, 1, 1, 1, 10, 6, 10, 10, 2, 10, 1, 6, 10, 6, 2, 1, 1, 2, 6, 5, 2, 1, 10, 10, 10, 1, 1, 2, 2, 10, 6, 6, 10, 2, 6, 10, 10, 6, 1, 2, 1, 10, 1, 2, 6, 2, 6, 10, 10, 10, 2, 1, 1, 10, 10, 6, 10, 1, 1, 10, 10, 1, 6, 6, 10, 1, 6, 10, 1, 10, 6, 10, 10, 2, 2, 6, 10, 1, 1, 1, 10, 0, 6, 4, 2, 10, 2, 2, 10, 6, 10, 6, 4, 1, 1, 10, 1, 1, 2, 10, 6, 2, 10, 2, 4, 1, 1, 1, 2, 10, 1, 9, 10, 1, 2, 6, 2, 2, 10, 2, 1, 1, 10, 2, 1, 2, 6, 10, 10, 1, 10, 6, 9, 10, 2, 2, 2, 10, 1, 6, 2, 1, 1, 1, 10, 1, 6, 2, 6, 10, 2, 10, 0, 1, 1, 6, 6, 10, 1, 6, 2, 10, 6, 6, 10, 1, 2, 1, 1, 2, 6, 6, 6, 2, 1, 1, 6, 6, 6, 2, 2, 9, 1, 10, 10, 2, 6, 6, 1, 1, 6, 2, 2, 1, 2, 10, 2, 2, 10, 9, 2, 2, 6, 1, 10, 10, 6, 10, 6, 10, 10, 6, 10, 6, 1, 1, 10, 6, 6, 6, 1, 6, 9, 10, 2, 10, 4, 6, 6, 10, 10, 10, 10, 2, 6, 2, 10, 10, 1, 1, 1, 1, 1, 6, 6, 6, 6, 1, 2, 1, 6, 2, 2, 6, 6, 10, 6, 6, 2, 10, 1, 6, 6, 10, 2, 6, 6, 2, 2, 5, 2, 2, 2, 1, 1, 2, 10, 2, 1, 2, 1, 2, 10, 6, 1, 2, 2, 6, 10, 2, 1, 10, 10, 10, 6, 10, 2, 1, 1, 9, 10, 6, 2, 10, 2, 10, 6, 2, 10, 6, 2, 2, 10, 2, 2, 1, 2, 2, 1, 2, 10, 2, 0, 1, 1, 6, 2, 2, 1, 10, 6, 2, 10, 6, 2, 2, 10, 2, 10, 2, 10, 2, 6, 6, 6, 1, 10, 2, 2, 6, 10, 10, 6, 10, 1, 2, 10, 6, 10, 2, 1, 1, 10, 10, 10, 2, 2, 2, 1, 10, 1, 10, 10, 10, 1, 4, 2, 1, 6, 6, 1, 10, 6, 2, 2, 1, 6, 2, 2, 2, 10, 6, 6, 4, 10, 1, 1, 10, 9, 6, 6, 1, 1, 2, 6, 2, 10, 2, 2, 10, 0, 1, 6, 6, 6, 2, 2, 2, 10, 6, 2, 2, 1, 1, 2, 2, 1, 1, 10, 1, 1, 1, 2, 10, 2, 10, 10, 10, 2, 6, 10, 1, 10, 6, 2, 5, 1, 2, 6, 2, 6, 6, 6, 2, 10, 6, 10, 1, 10, 1, 1, 2, 6, 1, 10, 6, 6, 10, 10, 2, 10, 10, 1, 10, 10, 10, 1, 6, 1, 6, 6, 2, 1, 1, 1, 6, 2, 1, 6, 1, 10, 0, 6, 10, 6, 1, 1, 10, 2, 10, 6, 2, 2, 6, 6, 10, 2, 6, 1, 10, 1, 1, 10, 1, 2, 1, 6, 2, 2, 6, 1, 2, 10, 6, 1, 6, 1, 1, 10, 6, 1, 6, 10, 10, 6, 6, 1, 10, 10, 1, 1, 2, 6, 6, 2, 1, 2, 2, 2, 9, 2, 10, 10, 1, 2, 1, 1, 2, 6, 1, 10, 0, 10, 6, 6, 1, 2, 0, 10, 2, 6, 2, 10, 1, 10, 2, 5, 1, 2, 2, 6, 2, 6, 6, 1, 10, 6, 10, 1, 10, 6, 1, 10, 2, 6, 1, 10, 1, 1, 1, 6, 10, 10, 10, 6, 6, 1, 6, 2, 6, 1, 1, 2, 10, 10, 1, 10, 6, 10, 6, 1, 1, 2, 1, 1, 2, 6, 10, 10, 10, 6, 1, 1, 10, 10, 1, 2, 1, 9, 6, 6, 1, 6, 6, 2, 9, 1, 2, 6, 1, 1, 10, 4, 6, 2, 6, 10, 1, 6, 2, 6, 6, 10, 6, 10, 2, 2, 1, 1, 1, 2, 6, 2, 10, 10, 1, 2, 1, 6, 2, 6, 2, 1, 10, 1, 2, 10, 1, 1, 1, 1, 10, 10, 10, 6, 1, 1, 10, 9, 2, 6, 1, 6, 2, 2, 1, 6, 6, 10, 1, 10, 1, 10, 0, 10, 2, 10, 2, 2, 10, 2, 10, 4, 10, 2, 2, 10, 2, 6, 10, 10, 1, 6, 1, 10, 6, 1, 6, 2, 1, 6, 10, 2, 6, 1, 2, 2, 6, 2, 6, 1, 10, 6, 1, 1, 10, 2, 2, 1, 1, 4, 10, 10, 10, 10, 6, 6, 9, 2, 10, 10, 2, 2, 2, 1, 10, 6, 6, 2, 10, 6, 10, 1, 6, 6, 1, 1, 2, 10, 2, 10, 6, 6, 10, 1, 2, 9, 6, 1, 10, 6, 1, 10, 2, 2, 6, 6, 6, 10, 2, 10, 6, 10, 1, 6, 10, 2, 10, 2, 10, 6, 1, 6, 1, 6, 2, 2, 6, 10, 2, 2, 1, 2, 10, 1, 2, 1, 2, 6, 1, 6, 10, 6, 2, 1, 2, 10, 1, 2, 2, 6, 6, 1, 6, 2, 10, 10, 6, 2, 1, 10, 1, 1, 1, 6, 6, 10, 10, 1, 1, 10, 2, 2, 6, 6, 2, 2, 2, 10, 6, 6, 2, 2, 6, 6, 2, 1, 6, 2, 1, 2, 1, 6, 2, 1, 1, 2, 6, 2, 6, 0, 6, 6, 2, 6, 6, 6, 10, 5, 2, 6, 1, 2, 1, 6, 1, 5, 10, 6, 2, 10, 2, 6, 10, 1, 6, 10, 10, 1, 6, 10, 2, 10, 2, 1, 6, 10, 2, 1, 0, 1, 1, 10, 6, 1, 10, 6, 2, 2, 6, 1, 10, 6, 10, 6, 6, 2, 10, 6, 1, 2, 2, 2, 10, 10, 5, 2, 2, 1, 6, 1, 6, 6, 2, 1, 2, 1, 2, 10, 10, 6, 10, 1, 4, 10, 6, 6, 6, 2, 6, 6, 5, 2, 6, 1, 6, 2, 6, 10, 6, 10, 10, 6, 6, 2, 6, 10, 6, 6, 1, 2, 1, 6, 6, 2, 6, 6, 6, 1, 1, 10, 1, 2, 6, 1, 2, 2, 2, 2, 10, 0, 10, 6, 1, 6, 6, 6, 10, 10, 2, 10, 1, 2, 10, 6, 10, 10, 6, 6, 10, 10, 6, 1, 10, 10, 10, 1, 1, 4, 6, 10, 10, 1, 6, 10, 2, 10, 1, 10, 6, 10, 6, 2, 6, 2, 10, 2, 6, 1, 6, 1, 10, 2, 2, 2, 10, 10, 1, 6, 6, 2, 6, 10, 2, 2, 2, 1, 1, 2, 2, 10, 6, 10, 10, 2, 10, 4, 6, 2, 6, 1, 2, 2, 1, 6, 6, 1, 1, 1, 2, 10, 2, 2, 1, 2, 10, 2, 4, 6, 6, 2, 10, 10, 1, 2, 1, 1, 6, 10, 10, 5, 9, 2, 10, 2, 1, 1, 2, 10, 6, 6, 2, 6, 10, 2, 6, 10, 2, 2, 10, 1, 1, 2, 6, 10, 5, 1, 1, 1, 10, 1, 10, 6, 10, 6, 1, 10, 1, 6, 1, 1, 2, 10, 10, 1, 1, 10, 6, 6, 10, 2, 1, 10, 10, 2, 1, 1, 6, 1, 1, 6, 2, 6, 10, 2, 2, 6, 1, 1, 2, 6, 6, 6, 6, 6, 6, 1, 6, 1, 2, 2, 10, 6, 10, 6, 2, 6, 10, 2, 1, 1, 10, 6, 4, 10, 1, 2, 2, 2, 1, 6, 10, 10, 1, 2, 2, 1, 1, 10, 1, 2, 10, 2, 1, 2, 6, 10, 6, 1, 10, 1, 6, 10, 1, 2, 2, 1, 10, 2, 2, 2, 1, 2, 6, 1, 6, 10, 2, 1, 10, 1, 10, 6, 10, 6, 10, 6, 10, 6, 1, 6, 2, 6, 10, 10, 10, 1, 6, 6, 6, 10, 6, 2, 2, 2, 6, 2, 1, 2, 6, 6, 1, 10, 2, 6, 1, 10, 2, 6, 1, 6, 10, 2, 10, 1, 6, 6, 1, 10, 10, 2, 10, 10, 2, 2, 10, 5, 6, 6, 2, 6, 6, 1, 2, 2, 0, 6, 10, 10, 10, 10, 2, 1, 6, 10, 10, 0, 6, 6, 2, 6, 2, 1, 6, 6, 6, 1, 1, 6, 10, 2, 2, 10, 1, 1, 10, 6, 10, 10, 2, 10, 1, 6, 10, 10, 10, 1, 10, 10, 1, 6, 6, 1, 10, 10, 6, 6, 6, 10, 6, 1, 6, 2, 6, 2, 6, 2, 2, 10, 6, 2, 1, 10, 10, 9, 5, 1, 1, 10, 10, 10, 6, 6, 6, 6, 1, 2, 6, 2, 1, 2, 1, 6, 2, 1, 6, 2, 6, 2, 10, 10, 10, 6, 2, 1, 6, 2, 6, 10, 6, 6, 1, 1, 2, 1, 10, 6, 2, 6, 10, 1, 1, 6, 2, 1, 1, 10, 2, 10, 10, 6, 2, 6, 2, 10, 1, 10, 2, 10, 10, 1, 10, 6, 10, 10, 10, 0, 2, 1, 2, 2, 10, 6, 1, 1, 2, 6, 2, 6, 6, 6, 6, 10, 1, 10, 2, 6, 2, 2, 6, 1, 6, 10, 6, 2, 1, 0, 2, 10, 1, 6, 6, 1, 1, 6, 5, 6, 1, 1, 1, 2, 10, 1, 6, 10, 2, 2, 10, 1, 1, 1, 2, 2, 10, 2, 10, 2, 1, 1, 1, 10, 2, 1, 10, 1, 10, 6, 6, 10, 6, 1, 6, 1, 6, 6, 6, 1, 10, 10, 2, 2, 10, 10, 10, 2, 10, 10, 2, 10, 2, 10, 6, 10, 1, 10, 10, 10, 2, 1, 6, 5, 6, 2, 2, 6, 2, 10, 1, 10, 6, 6, 2, 2, 2, 6, 6, 1, 1, 6, 6, 10, 2, 2, 6, 2, 1, 2, 10, 1, 1, 4, 2, 10, 6, 6, 1, 2, 10, 6, 10, 6, 1, 6, 10, 1, 1, 6, 6, 2, 2, 10, 10, 10, 2, 6, 2, 2, 10, 10, 2, 2, 6, 2, 1, 2, 6, 6, 2, 1, 1, 6, 2, 1, 10, 6, 2, 2, 6, 1, 2, 10, 1, 1, 2, 2, 6, 6, 6, 6, 10, 1, 1, 10, 6, 2, 6, 2, 1, 1, 2, 2, 1, 2, 1, 10, 6, 1, 2, 10, 1, 10, 6, 2, 10, 1, 1, 1, 10, 1, 6, 6, 6, 10, 6, 2, 1, 2, 2, 6, 2, 2, 2, 1, 2, 6, 2, 6, 10, 10, 1, 6, 2, 1, 6, 2, 2, 5, 2, 1, 1, 2, 1, 1, 6, 1, 6, 10, 1, 6, 10, 6, 10, 10, 1, 10, 10, 1, 2, 10, 6, 6, 2, 10, 6, 1, 10, 1, 2, 10, 6, 6, 1, 2, 2, 6, 10, 6, 2, 10, 6, 1, 6, 2, 6, 1, 2, 1, 2, 1, 10, 6, 6, 2, 10, 1, 10, 1, 2, 10, 0, 6, 10, 2, 6, 1, 10, 6, 2, 6, 2, 1, 1, 10, 1, 10, 10, 1, 2, 2, 6, 6, 2, 6, 10, 2, 10, 6, 2, 6, 6, 2, 1, 6, 6, 2, 1, 10, 6, 1, 2, 6, 10, 2, 1, 1, 2, 2, 2, 10, 6, 10, 1, 1, 10, 6, 10, 1, 6, 2, 2, 6, 6, 6, 1, 1, 6, 2, 10, 1, 1, 6, 1, 2, 6, 4, 6, 1, 10, 1, 2, 2, 2, 10, 1, 6, 6, 6, 2, 1, 1, 1, 6, 1, 6, 0, 2, 10, 1, 6, 10, 6, 6, 6, 1, 6, 6, 0, 10, 2, 1, 6, 4, 1, 6, 10, 2, 6, 5, 10, 10, 0, 6, 1, 6, 10, 10, 10, 2, 10, 10, 1, 10, 1, 1, 6, 1, 6, 10, 1, 6, 1, 6, 2, 1, 9, 6, 1, 6, 10, 6, 2, 4, 10, 1, 6, 1, 1, 6, 6, 1, 6, 1, 1, 1, 10, 6, 6, 2, 10, 6, 2, 2, 5, 10, 1, 1, 1, 1, 10, 6, 6, 6, 2, 2, 6, 6, 10, 10, 10, 10, 2, 2, 1, 2, 2, 6, 4, 6, 2, 10, 10, 10, 10, 1, 2, 1, 10, 5, 6, 10, 10, 6, 10, 1, 2, 2, 1, 10, 10, 2, 10, 2, 10, 2, 5, 1, 2, 6, 1, 10, 1, 1, 10, 5, 2, 2, 2, 10, 1, 6, 2, 10, 2, 6, 1, 6, 2, 6, 10, 2, 6, 6, 2, 10, 10, 10, 1, 6, 6, 9, 1, 6, 1, 2, 2, 1, 1, 9, 2, 6, 4, 1, 1, 2, 1, 2, 1, 6, 6, 6, 2, 10, 2, 1, 6, 1, 2, 10, 10, 10, 2, 10, 1, 1, 10, 10, 2, 6, 2, 1, 10, 1, 7, 6, 10, 10, 1, 10, 1, 1, 10, 2, 10, 2, 10, 1, 1, 10, 1, 2, 2, 6, 2, 2, 2, 10, 6, 6, 2, 1, 1, 2, 2, 2, 1, 10, 2, 1, 10, 10, 2, 1, 10, 1, 10, 2, 1, 6, 2, 1, 10, 9, 1, 6, 6, 10, 2, 2, 0, 1, 6, 6, 10, 1, 1, 6, 6, 10, 6, 2, 10, 10, 10, 2, 2, 2, 6, 2, 1, 2, 2, 1, 6, 6, 10, 2, 1, 10, 10, 10, 6, 1, 10, 6, 6, 1, 2, 1, 6, 2, 9, 2, 6, 2, 10, 6, 6, 2, 1, 2, 10, 10, 6, 10, 6, 6, 10, 1, 10, 2, 2, 6, 6, 60, 6, 2, 10, 6, 6, 6, 6, 10, 2, 2, 1, 10, 2, 6, 2, 10, 6, 2, 2, 2, 2, 1, 2, 1, 6, 6, 2, 6, 1, 2, 10, 2, 2, 10, 10, 2, 1, 2, 10, 1, 2, 1, 6, 6, 6, 10, 2, 2, 10, 10, 4, 6, 10, 10, 10, 6, 10, 1, 1, 2, 1, 2, 10, 10, 10, 2, 6, 10, 1, 6, 10, 6, 2, 6, 2, 10, 1, 2, 6, 6, 2, 6, 10, 6, 6, 1, 6, 6, 10, 2, 1, 1, 2, 10, 1, 0, 10, 1, 6, 1, 10, 10, 2, 5, 10, 1, 10, 10, 1, 6, 10, 2, 6, 6, 2, 2, 2, 10, 2, 6, 1, 2, 1, 10, 6, 2, 10, 1, 6, 1, 1, 1, 2, 2, 6, 10, 1, 5, 1, 10, 2, 10, 10, 1, 6, 6, 2, 6, 6, 2, 2, 6, 2, 2, 6, 10, 6, 10, 2, 10, 6, 1, 6, 2, 2, 2, 1, 2, 2, 6, 10, 2, 2, 6, 10, 10, 10, 2, 6, 10, 1, 2, 6, 2, 10, 10, 2, 6, 2, 6, 4, 6, 2, 1, 2, 10, 1, 10, 2, 6, 2, 10, 10, 6, 2, 5, 10, 10, 6, 1, 2, 6, 10, 6, 2, 2, 2, 6, 2, 10, 9, 6, 1, 0, 2, 10, 5, 2, 6, 6, 10, 2, 2, 10, 10, 10, 1, 2, 2, 5, 2, 1, 6, 2, 6, 1, 1, 2, 6, 10, 10, 10, 10, 10, 10, 10, 2, 10, 2, 6, 10, 1, 6, 10, 1, 2, 6, 1, 1, 10, 2, 2, 2, 6, 1, 1, 1, 1, 10, 5, 2, 1, 1, 1, 1, 2, 6, 10, 1, 2, 5, 9, 10, 2, 10, 1, 2, 10, 6, 6, 10, 6, 1, 1, 6, 10, 10, 6, 5, 10, 10, 10, 6, 6, 6, 6, 10, 2, 10, 2, 1, 1, 1, 1, 6, 2, 6, 6, 6, 10, 2, 6, 1, 6, 10, 10, 10, 10, 10, 6, 6, 1, 6, 6, 1, 1, 9, 2, 10, 6, 2, 2, 2, 2, 1, 6, 2, 6, 10, 10, 10, 1, 10, 10, 1, 10, 6, 6, 10, 1, 10, 1, 6, 2, 2, 10, 6, 1, 6, 1, 6, 10, 1, 2, 6, 6, 6, 1, 2, 2, 1, 1, 4, 6, 1, 10, 1, 6, 2, 6, 2, 1, 6, 10, 1, 6, 6, 1, 1, 6, 6, 2, 2, 10, 1, 10, 2, 2, 2, 6, 6, 6, 6, 10, 6, 1, 2, 6, 10, 1, 2, 6, 10, 10, 6, 10, 6, 10, 6, 6, 2, 1, 2, 2, 2, 6, 1, 10, 6, 6, 2, 1, 10, 6, 1, 10, 1, 2, 1, 2, 6, 2, 2, 1, 6, 6, 4, 1, 1, 6, 10, 10, 2, 2, 10, 10, 1, 6, 4, 1, 1, 6, 6, 10, 2, 6, 2, 1, 1, 1, 6, 6, 6, 1, 2, 1, 1, 2, 6, 10, 6, 1, 6, 10, 1, 10, 2, 1, 6, 1, 10, 1, 1, 10, 10, 6, 9, 10, 1, 2, 6, 2, 1, 2, 10, 10, 1, 6, 10, 10, 1, 2, 2, 1, 1, 1, 2, 1, 2, 10, 6, 6, 10, 2, 10, 6, 6, 1, 2, 1, 6, 6, 6, 10, 5, 10, 2, 10, 2, 1, 1, 1, 10, 10, 1, 6, 10, 6, 2, 1, 2, 2, 10, 1, 2, 1, 2, 1, 10, 6, 1, 10, 2, 6, 6, 2, 4, 1, 1, 6, 1, 10, 6, 2, 2, 2, 10, 2, 2, 2, 6, 2, 1, 10, 1, 10, 1, 6, 6, 1, 1, 2, 2, 6, 10, 2, 1, 6, 6, 10, 2, 10, 10, 1, 2, 1, 2, 6, 1, 2, 1, 6, 6, 6, 10, 1, 6, 1, 10, 1, 2, 2, 1, 4, 1, 6, 10, 1, 1, 2, 2, 10, 0, 2, 9, 6, 6, 1, 10, 10, 6, 6, 2, 2, 6, 6, 1, 10, 2, 6, 10, 1, 1, 9, 1, 1, 10, 6, 1, 1, 2, 10, 10, 1, 6, 6, 10, 10, 10, 1, 6, 5, 2, 6, 2, 10, 10, 2, 10, 1, 0, 10, 10, 6, 10, 10, 6, 2, 5, 1, 1, 6, 2, 10, 2, 6, 10, 2, 6, 1, 10, 6, 1, 2, 10, 2, 6, 10, 10, 2, 10, 10, 10, 2, 10, 2, 1, 1, 6, 10, 1, 6, 1, 0, 6, 10, 2, 10, 6, 10, 10, 2, 1, 10, 6, 10, 2, 1, 1, 6, 6, 10, 2, 2, 1, 6, 2, 6, 10, 1, 10, 2, 2, 2, 6, 2, 1, 6, 1, 2, 2, 6, 1, 6, 2, 2, 10, 4, 1, 6, 10, 6, 10, 1, 2, 10, 6, 10, 2, 6, 2, 2, 1, 2, 2, 1, 2, 1, 10, 6, 6, 6, 6, 2, 6, 1, 6, 1, 6, 10, 2, 10, 5, 10, 6, 2, 2, 6, 6, 6, 2, 1, 1, 6, 2, 2, 2, 10, 2, 1, 10, 6, 1, 1, 1, 1, 2, 2, 2, 1, 6, 2, 2, 1, 10, 2, 1, 10, 10, 1, 10, 6, 6, 1, 2, 1, 1, 6, 2, 2, 2, 10, 1, 1, 2, 1, 10, 2, 10, 2, 10, 1, 10, 10, 10, 2, 10, 6, 2, 6, 1, 10, 6, 2, 1, 6, 2, 6, 1, 1, 6, 1, 1, 2, 2, 10, 6, 6, 10, 2, 6, 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2, 1, 6, 5, 2, 6, 2, 6, 6, 10, 1, 10, 2, 10, 10, 10, 1, 1, 2, 1, 2, 10, 2, 10, 1, 1, 5, 10, 1, 1, 6, 6, 10, 2, 2, 2, 6, 10, 2, 10, 1, 10, 6, 1, 1, 6, 1, 1, 9, 1, 6, 1, 10, 6, 10, 1, 2, 6, 1, 6, 6, 1, 10, 2, 5, 2, 1, 6, 1, 10, 2, 10, 1, 10, 10, 2, 6, 2, 2, 6, 1, 6, 2, 10, 1, 2, 1, 10, 10, 1, 10, 10, 1, 10, 2, 1, 6, 1, 9, 6, 1, 1, 10, 6, 1, 5, 6, 10, 6, 6, 6, 6, 2, 2, 1, 2, 6, 1, 1, 10, 6, 10, 6, 6, 6, 10, 1, 2, 1, 2, 2, 6, 10, 6, 1, 2, 1, 0, 9, 1, 10, 1, 6, 6, 10, 1, 1, 10, 10, 6, 2, 10, 2, 6, 1, 2, 10, 10, 2, 1, 10, 1, 2, 6, 6, 1, 1, 6, 10, 10, 10, 2, 10, 2, 9, 6, 2, 2, 10, 10, 1, 6, 2, 6, 10, 10, 2, 2, 0, 10, 10, 2, 1, 1, 6, 10, 1, 6, 2, 2, 2, 1, 10, 6, 6, 6, 10, 6, 6, 9, 2, 2, 2, 6, 1, 1, 6, 10, 1, 1, 6, 1, 10, 5, 2, 6, 10, 2, 6, 2, 6, 6, 6, 2, 10, 6, 6, 10, 6, 6, 10, 10, 2, 1, 2, 2, 1, 10, 2, 1, 6, 6, 1, 4, 10, 2, 1, 1, 6, 10, 2, 1, 1, 2, 2, 6, 6, 6, 10, 9, 6, 1, 1, 1, 10, 6, 10, 10, 2, 1, 10, 10, 6, 0, 10, 2, 0, 2, 6, 10, 1, 10, 2, 2, 1, 0, 10, 6, 10, 2, 10, 1, 6, 10, 2, 1, 2, 6, 2, 6, 6, 9, 6, 1, 4, 6, 1, 10, 10, 10, 2, 2, 10, 9, 1, 1, 10, 2, 10, 6, 6, 6, 1, 10, 6, 6, 6, 2, 5, 2, 10, 1, 2, 2, 6, 2, 1, 1, 1, 1, 1, 6, 6, 6, 2, 2, 10, 1, 2, 2, 6, 6, 1, 6, 2, 6, 2, 6, 1, 10, 6, 10, 2, 2, 6, 2, 1, 6, 4, 2, 1, 1, 6, 2, 6, 2, 6, 6, 6, 6, 2, 2, 1, 2, 6, 1, 2, 1, 1, 2, 6, 4, 10, 1, 10, 10, 6, 2, 5, 6, 6, 10, 2, 5, 10, 2, 1, 10, 6, 2, 6, 1, 6, 6, 6, 1, 2, 2, 1, 10, 2, 6, 2, 1, 1, 6, 6, 1, 1, 2, 1, 2, 2, 10, 1, 2, 2, 6, 1, 6, 10, 6, 1, 1, 10, 2, 2, 10, 1, 1, 10, 6, 1, 6, 6, 10, 2, 2, 2, 1, 2, 6, 10, 1, 10, 6, 6, 6, 2, 10, 2, 6, 2, 10, 1, 2, 2, 2, 2, 10, 1, 10, 1, 6, 4, 10, 6, 10, 6, 10, 2, 2, 6, 2, 2, 1, 10, 4, 1, 2, 1, 2, 1, 2, 2, 9, 2, 2, 2, 6, 2, 10, 1, 2, 1, 2, 10, 6, 0, 6, 6, 1, 2, 10, 10, 2, 10, 10, 2, 1, 6, 6, 9, 6, 6, 10, 10, 2, 10, 1, 2, 6, 6, 10, 2, 1, 6, 6, 10, 2, 10, 1, 6, 2, 2, 1, 10, 6, 2, 6, 1, 2, 1, 2, 10, 2, 6, 1, 2, 1, 6, 10, 1, 6, 2, 1, 2, 10, 2, 10, 10, 1, 2, 2, 6, 6, 2, 1, 6, 6, 6, 9, 1, 6, 6, 2, 6, 1, 6, 10, 10, 1, 1, 10, 5, 10, 1, 2, 1, 0, 6, 2, 1, 6, 6, 4, 2, 1, 10, 6, 6, 1, 6, 10, 2, 6, 4, 6, 2, 1, 10, 10, 2, 10, 6, 10, 10, 6, 6, 6, 10, 2, 10, 2, 6, 1, 10, 1, 2, 6, 10, 10, 1, 2, 10, 10, 2, 2, 10, 2, 2, 2, 1, 1, 1, 1, 10, 6, 6, 5, 1, 2, 10, 2, 6, 10, 2, 6, 2, 1, 5, 6, 2, 6, 1, 1, 6, 2, 2, 1, 10, 2, 10, 6, 1, 6, 2, 6, 2, 1, 10, 1, 10, 6, 2, 6, 6, 6, 2, 10, 10, 2, 1, 10, 6, 2, 10, 10, 2, 10, 10, 0, 10, 6, 6, 2, 2, 1, 6, 1, 10, 1, 1, 6, 2, 1, 10, 6, 1, 1, 1, 10, 6, 1, 1, 1, 10, 10, 1, 10, 10, 6, 2, 10, 6, 1, 1, 6, 1, 1, 2, 9, 9, 10, 1, 1, 2, 10, 1, 2, 6, 6, 1, 2, 10, 6, 1, 1, 6, 0, 10, 6, 6, 10, 6, 1, 2, 6, 6, 6, 6, 5, 6, 1, 10, 10, 6, 2, 6, 6, 10, 2, 1, 10, 10, 6, 6, 6, 6, 10, 10, 10, 10, 10, 2, 6, 6, 2, 6, 10, 1, 2, 10, 1, 0, 10, 2, 6, 6, 2, 2, 1, 6, 10, 10, 6, 2, 6, 2, 6, 10, 10, 6, 6, 6, 1, 1, 6, 1, 10, 10, 1, 1, 1, 1, 6, 40, 10, 10, 2, 6, 1, 1, 10, 6, 1, 6, 1, 1, 6, 6, 10, 2, 1, 6, 10, 2, 2, 6, 2, 10, 6, 10, 6, 10, 1, 2, 10, 1, 1, 2, 10, 2, 1, 10, 2, 6, 6, 0, 10, 2, 1, 10, 2, 1, 10, 2, 1, 10, 10, 6, 10, 1, 6, 6, 2, 6, 1, 10, 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10, 6, 6, 10, 10, 2, 1, 2, 10, 10, 6, 10, 2, 10, 2, 6, 10, 10, 1, 10, 10, 2, 10, 10, 4, 6, 1, 6, 10, 1, 2, 2, 2, 6, 2, 6, 1, 10, 1, 10, 10, 1, 1, 1, 10, 6, 6, 6, 1, 1, 6, 6, 10, 1, 1, 1, 6, 0, 6, 1, 1, 1, 1, 6, 10, 2, 6, 1, 10, 10, 2, 2, 10, 10, 6, 2, 1, 10, 1, 6, 1, 6, 1, 1, 2, 6, 10, 2, 10, 10, 2, 2, 6, 6, 1, 10, 1, 6, 9, 10, 2, 6, 10, 1, 10, 6, 1, 1, 6, 10, 1, 6, 2, 4, 2, 10, 2, 1, 1, 6, 1, 10, 10, 0, 2, 10, 1, 10, 1, 1, 2, 10, 2, 10, 9, 6, 1, 1, 10, 10, 10, 6, 10, 1, 2, 2, 2, 1, 1, 1, 10, 2, 1, 1, 6, 1, 10, 2, 10, 2, 2, 1, 1, 10, 2, 1, 2, 1, 10, 10, 10, 1, 10, 6, 10, 1, 1, 6, 6, 2, 1, 6, 1, 1, 1, 6, 6, 2, 10, 10, 4, 10, 6, 2, 6, 6, 2, 10, 2, 6, 2, 6, 1, 2, 6, 6, 2, 2, 1, 4, 1, 1, 1, 5, 0, 2, 1, 1, 10, 2, 10, 6, 6, 1, 10, 2, 1, 2, 10, 2, 2, 10, 2, 6, 2, 2, 1, 6, 1, 2, 1, 6, 4, 10, 10, 6, 1, 5, 6, 6, 1, 6, 1, 10, 10, 10, 2, 1, 1, 10, 10, 10, 10, 10, 1, 6, 6, 2, 1, 1, 2, 0, 6, 2, 2, 1, 1, 10, 2, 1, 1, 6, 1, 6, 10, 1, 1, 1, 10, 10, 6, 1, 1, 9, 10, 10, 0, 10, 10, 1, 1, 2, 1, 1, 2, 6, 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10, 2, 1, 2, 6, 2, 6, 10, 1, 6, 1, 10, 6, 6, 10, 2, 6, 1, 1, 6, 2, 2, 10, 6, 2, 1, 2, 1, 1, 10, 5, 1, 1, 1, 10, 10, 2, 6, 4, 1, 2, 1, 10, 6, 1, 2, 9, 2, 10, 6, 10, 1, 10, 6, 10, 4, 6, 6, 9, 1, 2, 6, 6, 10, 10, 2, 2, 2, 2, 1, 10, 1, 2, 2, 5, 6, 1, 2, 10, 6, 9, 1, 6, 10, 6, 6, 10, 6, 6, 2, 2, 1, 10, 1, 2, 1, 1, 10, 1, 6, 6, 6, 10, 6, 10, 6, 10, 1, 6, 10, 6, 6, 2, 6, 6, 6, 10, 2, 1, 1, 6, 4, 6, 10, 2, 2, 6, 10, 1, 6, 10, 0, 1, 2, 2, 6, 10, 2, 9, 6, 6, 6, 6, 6, 10, 1, 10, 1, 10, 10, 1, 2, 1, 10, 1, 2, 6, 1, 2, 1, 1, 6, 2, 6, 2, 6, 2, 10, 2, 10, 10, 6, 2, 1, 10, 10, 6, 1, 2, 2, 10, 2, 2, 1, 10, 6, 10, 6, 2, 10, 2, 1, 2, 1, 2, 1, 1, 10, 1, 2, 1, 2, 2, 6, 2, 2, 10, 10, 2, 1, 2, 1, 6, 10, 10, 1, 2, 2, 6, 1, 1, 50, 4, 6, 6, 10, 2, 10, 10, 6, 1, 10, 1, 10, 10, 10, 6, 6, 10, 6, 1, 10, 6, 1, 1, 2, 1, 1, 10, 1, 10, 6, 6, 10, 6, 1, 1, 10, 1, 6, 10, 2, 6, 6, 6, 10, 10, 1, 10, 6, 2, 10, 10, 2, 2, 1, 2, 10, 2, 10, 2, 6, 1, 1, 10, 2, 1, 2, 10, 10, 2, 1, 6, 6, 10, 6, 5, 2, 1, 10, 2, 6, 10, 6, 1, 2, 1, 10, 2, 1, 1, 10, 10, 10, 6, 1, 1, 6, 6, 6, 2, 6, 10, 10, 6, 9, 6, 2, 10, 2, 6, 10, 2, 1, 1, 10, 10, 1, 6, 2, 6, 1, 10, 1, 10, 10, 2, 6, 6, 1, 10, 2, 6, 10, 10, 10, 10, 6, 6, 6, 1, 2, 1, 10, 1, 6, 6, 1, 6, 10, 1, 1, 2, 2, 1, 10, 2, 1, 6, 6, 1, 2, 6, 6, 10, 6, 1, 2, 10, 10, 10, 10, 6, 1, 1, 10, 10, 9, 2, 10, 1, 2, 10, 1, 6, 6, 1, 2, 2, 6, 2, 1, 6, 6, 1, 1, 1, 1, 10, 6, 2, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 1, 6, 6, 2, 10, 4, 1, 6, 1, 10, 1, 2, 2, 2, 6, 6, 1, 6, 2, 2, 2, 6, 1, 6, 10, 10, 10, 6, 10, 6, 2, 2, 10, 10, 10, 1, 10, 1, 10, 6, 1, 10, 6, 10, 2, 1, 1, 2, 2, 1, 1, 1, 1, 10, 6, 1, 6, 10, 2, 1, 10, 1, 2, 6, 2, 6, 10, 10, 6, 2, 1, 2, 2, 1, 1, 6, 6, 6, 10, 10, 6, 10, 1, 6, 2, 6, 1, 5, 6, 1, 2, 6, 10, 10, 10, 1, 6, 1, 1, 10, 1, 1, 6, 2, 2, 10, 1, 2, 1, 10, 6, 6, 10, 6, 6, 1, 2, 10, 2, 6, 1, 6, 1, 6, 2, 2, 2, 10, 6, 10, 6, 1, 6, 6, 6, 1, 10, 1, 1, 2, 6, 6, 1, 2, 6, 1, 1, 1, 6, 2, 2, 1, 1, 6, 6, 2, 2, 2, 6, 6, 6, 6, 10, 6, 1, 10, 2, 6, 6, 1, 2, 6, 6, 10, 6, 1, 6, 2, 10, 10, 6, 10, 1, 6, 2, 2, 1, 6, 6, 1, 6, 6, 6, 10, 2, 2, 2, 10, 2, 6, 2, 6, 2, 1, 6, 1, 10, 2, 6, 1, 1, 6, 6, 2, 1, 1, 10, 1, 6, 2, 6, 2, 1, 6, 10, 10, 2, 6, 1, 1, 10, 6, 10, 10, 2, 10, 10, 1, 6, 6, 1, 10, 10, 10, 6, 1, 10, 1, 10, 6, 2, 6, 2, 2, 2, 1, 10, 6, 6, 10, 6, 6, 10, 6, 2, 6, 2, 2, 10, 1, 6, 6, 10, 6, 2, 10, 6, 1, 6, 10, 1, 6, 10, 2, 2, 1, 2, 10, 6, 2, 1, 10, 2, 2, 1, 2, 1, 10, 2, 1, 2, 2, 2, 1, 2, 10, 2, 6, 1, 1, 10, 2, 2, 1, 10, 1, 10, 10, 1, 10, 2, 6, 6, 6, 2, 10, 10, 1, 1, 6, 6, 1, 1, 2, 10, 10, 1, 1, 2, 10, 10, 2, 2, 2, 10, 1, 6, 6, 1, 10, 10, 1, 10, 1, 1, 6, 6, 1, 10, 9, 1, 6, 10, 10, 1, 2, 2, 10, 10, 1, 1, 10, 6, 10, 6, 2, 2, 2, 6, 2, 2, 6, 2, 6, 10, 1, 1, 2, 6, 10, 6, 1, 1, 6, 2, 1, 1, 1, 2, 2, 1, 1, 10, 10, 2, 6, 10, 10, 6, 1, 2, 6, 2, 2, 10, 1, 10, 2, 10, 10, 6, 1, 10, 6, 10, 2, 1, 2, 1, 1, 6, 10, 2, 10, 1, 1, 10, 1, 6, 10, 6, 2, 10, 1, 1, 2, 2, 10, 10, 1, 1, 2, 10, 2, 6, 10, 10, 1, 10, 2, 1, 10, 2, 6, 6, 1, 1, 1, 2, 10, 6, 6, 1, 6, 6, 6, 1, 2, 6, 6, 1, 10, 1, 10, 1, 10, 1, 1, 6, 10, 1, 1, 2, 10, 1, 6, 1, 2, 6, 10, 6, 6, 10, 6, 1, 2, 6, 0, 2, 6, 10, 2, 2, 1, 10, 10, 2, 10, 1, 2, 5, 2, 10, 10, 1, 4, 2, 10, 2, 10, 6, 10, 1, 1, 10, 6, 6, 10, 10, 1, 1, 1, 1, 1, 6, 1, 2, 1, 10, 10, 6, 10, 1, 10, 1, 10, 6, 2, 1, 2, 10, 2, 1, 1, 10, 2, 6, 6, 10, 6, 1, 2, 10, 2, 2, 6, 6, 10, 10, 2, 10, 2, 2, 10, 6, 10, 2, 1, 1, 6, 2, 1, 6, 1, 9, 6, 1, 6, 6, 2, 2, 10, 1, 10, 10, 2, 1, 2, 10, 6, 10, 6, 1, 6, 1, 1, 6, 6, 2, 10, 10, 10, 10, 1, 1, 1, 2, 2, 5, 6, 1, 1, 6, 5, 2, 1, 6, 1, 6, 2, 6, 6, 2, 2, 6, 1, 2, 2, 1, 6, 6, 2, 10, 6, 0, 6, 6, 10, 6, 6, 0, 1, 10, 10, 1, 10, 10, 1, 6, 1, 6, 2, 1, 6, 6, 2, 2, 6, 2, 6, 1, 1, 2, 10, 10, 2, 1, 6, 1, 2, 10, 5, 10, 2, 2, 2, 1, 1, 2, 6, 10, 1, 10, 2, 2, 10, 10, 10, 1, 6, 10, 9, 6, 1, 1, 1, 10, 10, 1, 1, 10, 2, 10, 2, 6, 2, 2, 2, 4, 6, 1, 2, 6, 6, 2, 6, 10, 6, 10, 9, 6, 1, 2, 2, 1, 2, 6, 10, 10, 1, 1, 6, 1, 1, 1, 1, 2, 6, 2, 1, 2, 6, 10, 10, 6, 6, 6, 2, 1, 2, 2, 1, 10, 6, 2, 2, 2, 1, 1, 1, 2, 10, 2, 1, 6, 1, 1, 10, 6, 10, 1, 1, 10, 2, 1, 6, 1, 1, 1, 6, 10, 1, 10, 1, 0, 2, 10, 10, 1, 6, 6, 6, 2, 1, 10, 6, 2, 2, 1, 6, 2, 2, 2, 10, 2, 10, 1, 6, 50, 2, 2, 1, 10, 6, 1, 6, 6, 1, 10, 10, 1, 1, 1, 2, 2, 10, 1, 10, 1, 1, 6, 10, 2, 2, 2, 2, 2, 6, 6, 10, 10, 2, 1, 10, 2, 1, 6, 6, 0, 1, 10, 6, 2, 1, 2, 1, 10, 6, 6, 6, 6, 1, 10, 2, 2, 1, 1, 1, 2, 10, 2, 2, 2, 6, 2, 1, 1, 6, 10, 1, 2, 10, 6, 2, 10, 0, 10, 6, 1, 6, 1, 6, 6, 10, 6, 1, 1, 10, 10, 10, 10, 1, 6, 10, 10, 1, 6, 10, 0, 10, 1, 1, 6, 10, 6, 1, 1, 6, 60, 1, 10, 6, 1, 2, 10, 9, 1, 6, 9, 6, 2, 2, 10, 1, 9, 2, 2, 1, 2, 10, 10, 6, 6, 1, 10, 10, 10, 6, 9, 6, 2, 2, 10, 2, 2, 1, 2, 1, 10, 6, 1, 6, 2, 1, 6, 2, 1, 10, 6, 2, 1, 2, 10, 10, 2, 6, 2, 6, 1, 6, 10, 10, 10, 1, 10, 2, 10, 2, 1, 2, 2, 2, 10, 6, 6, 10, 9, 10, 10, 6, 2, 4, 6, 6, 10, 1, 6, 1, 6, 2, 2, 1, 6, 6, 2, 10, 2, 10, 2, 2, 2, 6, 6, 10, 6, 1, 10, 6, 10, 10, 10, 10, 6, 10, 2, 2, 10, 2, 2, 6, 2, 1, 1, 10, 10, 6, 6, 6, 1, 6, 10, 10, 2, 1, 1, 1, 10, 2, 2, 1, 6, 2, 2, 2, 10, 1, 10, 6, 2, 6, 2, 1, 10, 2, 10, 1, 1, 2, 6, 1, 6, 2, 2, 6, 10, 10, 2, 10, 6, 2, 1, 2, 1, 2, 1, 2, 2, 2, 6, 2, 10, 10, 2, 6, 6, 2, 10, 2, 6, 1, 6, 6, 6, 10, 10, 6, 1, 6, 10, 2, 2, 1, 10, 9, 6, 1, 1, 10, 1, 2, 10, 1, 10, 6, 2, 1, 2, 4, 10, 6, 10, 1, 6, 1, 1, 10, 10, 0, 2, 2, 1, 2, 2, 10, 2, 10, 2, 6, 10, 2, 1, 1, 6, 2, 10, 6, 6, 6, 10, 10, 1, 0, 2, 6, 2, 10, 10, 10, 2, 6, 1, 2, 1, 10, 2, 6, 1, 6, 10, 10, 2, 2, 10, 1, 1, 2, 1, 6, 1, 1, 10, 10, 6, 1, 6, 6, 6, 1, 1, 10, 1, 6, 2, 6, 2, 10, 1, 10, 2, 1, 6, 10, 1, 0, 10, 2, 6, 5, 1, 10, 1, 2, 1, 6, 6, 1, 10, 6, 2, 2, 1, 2, 10, 10, 2, 10, 2, 10, 2, 6, 6, 10, 10, 1, 2, 6, 10, 10, 2, 6, 1, 2, 2, 6, 2, 10, 6, 10, 10, 2, 6, 6, 1, 1, 10, 1, 6, 10, 10, 2, 1, 10, 2, 10, 6, 1, 4, 10, 1, 1, 5, 6, 2, 6, 2, 1, 6, 2, 1, 1, 9, 10, 10, 10, 2, 1, 6, 6, 6, 1, 1, 1, 10, 2, 2, 1, 2, 10, 1, 1, 6, 6, 6, 2, 1, 1, 1, 6, 2, 10, 1, 1, 10, 10, 6, 6, 4, 10, 6, 6, 10, 6, 2, 4, 10, 6, 2, 6, 2, 2, 10, 2, 1, 2, 1, 2, 10, 1, 10, 6, 1, 10, 10, 4, 10, 2, 2, 1, 2, 10, 6, 2, 6, 2, 1, 2, 10, 1, 2, 6, 6, 6, 2, 10, 10, 5, 2, 6, 6, 6, 2, 6, 10, 10, 6, 10, 10, 2, 10, 10, 1, 10, 10, 1, 6, 6, 9, 10, 10, 2, 1, 6, 6, 6, 6, 6, 6, 2, 2, 1, 1, 1, 9, 10, 2, 1, 6, 10, 1, 2, 10, 2, 1, 10, 2, 1, 2, 1, 1, 6, 6, 1, 1, 2, 6, 10, 10, 1, 6, 5, 6, 2, 1, 6, 2, 10, 4, 10, 10, 10, 10, 1, 1, 1, 6, 6, 10, 2, 6, 2, 10, 10, 10, 6, 6, 10, 1, 1, 1, 10, 2, 2, 1, 2, 1, 4, 6, 6, 2, 2, 1, 1, 2, 6, 10, 2, 1, 2, 2, 2, 10, 2, 1, 6, 1, 4, 6, 1, 2, 2, 1, 2, 1, 6, 10, 4, 6, 1, 2, 2, 2, 6, 9, 10, 1, 10, 6, 2, 6, 6, 6, 10, 10, 6, 1, 1, 2, 1, 10, 2, 2, 1, 1, 2, 6, 10, 1, 6, 6, 1, 10, 6, 10, 10, 1, 10, 1, 1, 1, 1, 10, 2, 6, 1, 6, 1, 6, 1, 1, 2, 6, 10, 6, 10, 2, 1, 10, 10, 1, 2, 1, 10, 1, 1, 10, 10, 6, 2, 10, 4, 2, 10, 2, 2, 2, 10, 10, 2, 10, 2, 6, 1, 6, 6, 1, 10, 6, 2, 2, 1, 6, 1, 2, 10, 6, 1, 1, 1, 6, 1, 2, 6, 10, 6, 10, 6, 6, 2, 1, 10, 1, 2, 6, 1, 10, 6, 1, 1, 2, 6, 6, 1, 2, 10, 2, 6, 6, 10, 10, 2, 2, 2, 6, 0, 10, 2, 6, 1, 6, 2, 6, 6, 6, 2, 2, 1, 9, 2, 2, 1, 1, 6, 6, 10, 10, 2, 10, 6, 6, 1, 2, 10, 2, 1, 10, 10, 1, 1, 1, 6, 4, 10, 2, 1, 6, 2, 2, 1, 1, 1, 1, 2, 10, 2, 2, 6, 2, 1, 1, 2, 6, 1, 6, 1, 10, 1, 1, 10, 6, 10, 6, 2, 6, 2, 6, 10, 6, 9, 2, 1, 1, 2, 1, 6, 1, 1, 6, 1, 1, 1, 10, 1, 1, 1, 1, 2, 6, 2, 1, 6, 10, 10, 1, 1, 2, 2, 1, 10, 2, 1, 1, 10, 5, 6, 10, 10, 1, 2, 1, 2, 10, 2, 5, 10, 6, 6, 6, 10, 10, 10, 2, 1, 1, 6, 1, 10, 2, 10, 1, 1, 1, 1, 1, 4, 1, 2, 10, 6, 1, 1, 2, 2, 6, 6, 10, 6, 10, 6, 10, 1, 10, 6, 2, 2, 6, 6, 2, 1, 1, 1, 6, 1, 2, 6, 0, 10, 6, 10, 10, 1, 2, 6, 1, 10, 6, 1, 10, 6, 2, 2, 6, 6, 1, 10, 1, 1, 6, 6, 6, 2, 10, 10, 6, 6, 2, 6, 1, 6, 2, 2, 4, 2, 2, 2, 6, 6, 1, 2, 6, 6, 2, 6, 1, 6, 6, 10, 6, 1, 2, 10, 2, 6, 10, 2, 6, 10, 6, 1, 10, 6, 6, 1, 10, 10, 10, 1, 2, 2, 10, 1, 10, 0, 6, 10, 1, 10, 2, 2, 6, 2, 6, 1, 10, 6, 10, 10, 2, 2, 10, 2, 10, 6, 10, 10, 10, 6, 1, 2, 2, 10, 6, 10, 6, 2, 2, 2, 10, 1, 2, 6, 10, 6, 6, 1, 1, 2, 10, 10, 2, 2, 10, 2, 6, 2, 10, 10, 6, 10, 2, 4, 6, 10, 10, 6, 2, 2, 10, 10, 1, 6, 2, 10, 10, 1, 2, 2, 6, 1, 10, 2, 6, 10, 1, 1, 10, 6, 1, 1, 6, 6, 1, 6, 10, 1, 1, 2, 10, 1, 1, 1, 10, 2, 10, 1, 10, 2, 1, 6, 10, 10, 2, 2, 2, 6, 1, 10, 2, 1, 6, 10, 1, 1, 1, 10, 10, 6, 10, 4, 4, 1, 10, 2, 6, 1, 2, 2, 10, 1, 4, 1, 5, 10, 10, 1, 2, 0, 10, 10, 10, 2, 6, 6, 2, 10, 1, 2, 2, 10, 10, 1, 2, 10, 6, 1, 10, 1, 2, 10, 1, 2, 2, 2, 6, 2, 2, 6, 10, 6, 6, 1, 10, 1, 2, 1, 6, 10, 10, 10, 1, 0, 10, 2, 1, 10, 10, 1, 1, 10, 9, 2, 10, 1, 6, 1, 1, 6, 2, 1, 10, 2, 2, 10, 1, 1, 6, 2, 2, 10, 2, 6, 6, 2, 6, 10, 10, 6, 10, 10, 2, 2, 10, 10, 10, 2, 2, 2, 2, 10, 2, 2, 1, 2, 2, 2, 2, 1, 10, 1, 1, 10, 2, 10, 2, 2, 1, 2, 6, 2, 10, 1, 1, 2, 1, 10, 6, 6, 1, 2, 6, 6, 1, 2, 6, 10, 10, 6, 2, 6, 6, 6, 6, 2, 6, 10, 10, 6, 6, 1, 10, 6, 10, 10, 1, 1, 1, 1, 2, 1, 6, 10, 1, 10, 1, 10, 6, 1, 2, 5, 6, 2, 6, 10, 10, 2, 2, 1, 6, 6, 6, 1, 10, 6, 1, 1, 1, 2, 1, 2, 6, 2, 2, 6, 10, 6, 2, 1, 2, 6, 6, 6, 10, 2, 6, 1, 2, 6, 10, 6, 2, 1, 9, 2, 2, 6, 10, 10, 1, 5, 10, 10, 2, 10, 6, 1, 2, 10, 10, 10, 6, 6, 1, 4, 1, 2, 10, 10, 10, 2, 1, 10, 10, 6, 10, 2, 1, 10, 2, 10, 6, 1, 2, 10, 10, 10, 6, 1, 2, 10, 6, 6, 10, 1, 1, 2, 10, 10, 6, 1, 10, 2, 1, 2, 6, 10, 2, 2, 1, 1, 1, 1, 10, 10, 6, 2, 2, 6, 10, 6, 2, 10, 10, 2, 10, 1, 1, 10, 6, 2, 2, 1, 10, 10, 1, 10, 2, 1, 2, 2, 10, 6, 10, 10, 6, 1, 2, 10, 1, 1, 6, 10, 10, 1, 2, 10, 2, 2, 10, 10, 6, 10, 1, 6, 10, 10, 2, 2, 2, 2, 6, 2, 10, 10, 2, 6, 6, 10, 6, 6, 10, 1, 6, 6, 6, 1, 2, 6, 10, 6, 1, 2, 2, 2, 10, 10, 10, 1, 2, 2, 10, 6, 10, 2, 10, 2, 10, 6, 6, 1, 1, 10, 1, 2, 6, 10, 2, 2, 6, 10, 1, 10, 1, 1, 1, 6, 10, 2, 10, 6, 2, 4, 6, 10, 6, 10, 10, 2, 2, 6, 2, 2, 6, 1, 6, 6, 10, 1, 1, 6, 1, 2, 10, 10, 2, 10, 6, 5, 9, 2, 2, 6, 1, 2, 6, 6, 1, 6, 10, 2, 10, 6, 6, 10, 10, 1, 10, 2, 6, 1, 6, 10, 4, 2, 2, 2, 2, 10, 1, 1, 2, 2, 1, 2, 4, 4, 2, 10, 2, 2, 2, 2, 2, 1, 2, 10, 1, 2, 6, 6, 6, 2, 10, 1, 2, 1, 1, 2, 10, 1, 2, 6, 1, 1, 1, 10, 2, 6, 1, 10, 6, 6, 9, 1, 10, 10, 6, 10, 6, 4, 6, 6, 2, 2, 2, 1, 1, 1, 1, 10, 6, 1, 2, 10, 6, 2, 1, 1, 6, 10, 6, 4, 10, 2, 2, 6, 10, 10, 6, 2, 6, 4, 10, 2, 1, 2, 10, 6, 2, 2, 2, 1, 6, 2, 6, 1, 10, 6, 1, 2, 1, 6, 1, 2, 1, 2, 2, 10, 2, 6, 1, 2, 2, 10, 6, 1, 10, 1, 10, 1, 1, 6, 1, 10, 10, 1, 10, 1, 1, 10, 2, 10, 2, 2, 6, 10, 2, 10, 2, 1, 6, 10, 2, 6, 0, 2, 1, 2, 2, 1, 10, 1, 6, 1, 10, 1, 1, 10, 1, 1, 10, 2, 6, 6, 2, 6, 2, 6, 2, 1, 10, 1, 2, 6, 2, 10, 6, 1, 1, 1, 2, 2, 6, 40, 2, 10, 10, 1, 1, 6, 10, 1, 6, 10, 6, 1, 10, 1, 2, 6, 2, 10, 2, 10, 1, 1, 6, 2, 10, 2, 1, 10, 10, 0, 2, 1, 1, 6, 6, 2, 6, 10, 6, 6, 10, 10, 1, 6, 6, 10, 10, 2, 10, 0, 1, 1, 10, 10, 6, 10, 2, 10, 6, 1, 6, 1, 6, 10, 10, 6, 2, 1, 6, 2, 6, 10, 6, 6, 6, 10, 10, 10, 2, 2, 1, 6, 6, 10, 6, 1, 2, 1, 2, 10, 2, 6, 1, 2, 10, 10, 1, 2, 10, 1, 1, 1, 1, 1, 2, 2, 6, 1, 6, 6, 2, 1, 2, 10, 1, 1, 2, 2, 6, 10, 1, 5, 1, 10, 1, 10, 6, 1, 2, 1, 2, 10, 6, 2, 6, 6, 2, 2, 10, 1, 6, 10, 6, 10, 0, 1, 6, 10, 1, 6, 1, 1, 10, 10, 2, 6, 2, 1, 4, 2, 10, 10, 6, 1, 1, 2, 1, 10, 10, 10, 2, 1, 10, 10, 2, 1, 1, 10, 6, 10, 10, 10, 1, 6, 1, 2, 2, 2, 2, 2, 6, 10, 1, 1, 2, 10, 10, 6, 1, 2, 10, 1, 1, 2, 0, 1, 10, 1, 2, 2, 1, 1, 1, 2, 6, 10, 2, 2, 2, 6, 1, 9, 10, 2, 2, 10, 1, 6, 6, 10, 6, 6, 1, 6, 6, 2, 2, 1, 1, 6, 1, 10, 6, 1, 2, 2, 10, 2, 6, 1, 2, 1, 10, 6, 1, 1, 1, 6, 10, 2, 6, 2, 1, 6, 1, 2, 1, 10, 6, 10, 10, 6, 10, 1, 10, 2, 6, 6, 10, 6, 2, 10, 10, 1, 10, 1, 2, 10, 2, 1, 1, 1, 1, 2, 1, 6, 2, 6, 10, 10, 6, 10, 2, 1, 10, 1, 10, 1, 1, 10, 6, 1, 6, 2, 1, 10, 2, 2, 10, 2, 1, 10, 1, 1, 6, 2, 10, 6, 10, 1, 2, 2, 2, 10, 2, 1, 0, 10, 2, 10, 10, 10, 1, 1, 10, 6, 1, 1, 10, 2, 10, 2, 10, 6, 10, 10, 6, 1, 6, 1, 1, 2, 2, 10, 0, 6, 10, 10, 1, 1, 10, 6, 2, 6, 10, 2, 10, 2, 1, 2, 1, 6, 2, 2, 2, 1, 2, 1, 1, 1, 10, 10, 1, 2, 1, 10, 2, 6, 6, 10, 1, 10, 1, 10, 10, 1, 6, 1, 1, 6, 10, 1, 6, 10, 10, 1, 4, 1, 10, 1, 1, 2, 2, 1, 6, 10, 10, 10, 10, 2, 10, 6, 2, 10, 1, 10, 1, 6, 1, 6, 6, 6, 1, 1, 2, 1, 1, 2, 1, 6, 1, 1, 1, 2, 10, 2, 2, 6, 1, 6, 10, 1, 10, 10, 10, 2, 1, 1, 1, 6, 2, 1, 2, 1, 1, 1, 2, 1, 10, 10, 1, 1, 6, 6, 1, 10, 2, 1, 0, 2, 10, 2, 10, 10, 2, 10, 2, 6, 10, 0, 1, 10, 6, 10, 10, 10, 2, 1, 6, 2, 2, 1, 1, 2, 10, 6, 10, 2, 2, 2, 6, 10, 2, 1, 10, 2, 10, 1, 6, 6, 2, 10, 10, 2, 1, 1, 2, 2, 2, 6, 10, 2, 2, 10, 0, 2, 10, 1, 6, 6, 1, 10, 10, 2, 2, 10, 10, 6, 4, 1, 2, 6, 1, 6, 10, 10, 2, 2, 1, 1, 6, 2, 6, 1, 6, 2, 10, 9, 6, 10, 6, 6, 2, 4, 6, 2, 10, 10, 1, 10, 2, 6, 10, 10, 10, 2, 10, 10, 10, 6, 2, 10, 2, 1, 10, 6, 10, 2, 1, 10, 10, 10, 6, 1, 10, 10, 6, 1, 2, 6, 1, 2, 6, 1, 1, 1, 10, 6, 10, 10, 2, 10, 10, 2, 10, 10, 10, 1, 10, 1, 6, 2, 10, 1, 10, 6, 2, 10, 2, 2, 10, 10, 10, 10, 10, 6, 6, 10, 2, 1, 2, 1, 10, 6, 10, 6, 1, 2, 10, 6, 2, 6, 2, 4, 2, 10, 1, 2, 10, 1, 1, 2, 6, 1, 10, 2, 2, 6, 2, 0, 2, 10, 2, 10, 10, 2, 6, 6, 1, 10, 10, 10, 10, 10, 1, 2, 6, 2, 1, 9, 1, 10, 10, 6, 10, 1, 6, 2, 10, 10, 2, 6, 10, 1, 2, 10, 6, 2, 10, 6, 1, 6, 2, 2, 1, 2, 5, 1, 9, 1, 6, 2, 10, 10, 1, 6, 2, 10, 6, 10, 1, 6, 6, 2, 1, 1, 1, 10, 10, 1, 1, 2, 6, 10, 10, 10, 6, 2, 10, 1, 1, 6, 10, 6, 1, 6, 10, 1, 2, 2, 6, 1, 10, 6, 10, 2, 6, 6, 2, 10, 10, 2, 10, 1, 6, 6, 1, 2, 6, 6, 6, 1, 1, 10, 1, 2, 2, 5, 6, 1, 6, 6, 1, 2, 6, 2, 6, 6, 10, 2, 1, 2, 6, 2, 6, 10, 10, 1, 10, 6, 6, 2, 10, 6, 10, 6, 2, 10, 6, 1, 1, 2, 2, 1, 10, 2, 6, 1, 10, 1, 10, 10, 1, 1, 10, 2, 1, 2, 6, 10, 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6, 1, 1, 1, 1, 2, 5, 2, 2, 2, 1, 10, 6, 6, 10, 10, 10, 6, 6, 2, 6, 2, 6, 6, 6, 1, 6, 6, 6, 6, 6, 1, 2, 6, 9, 2, 10, 2, 6, 1, 1, 6, 6, 10, 6, 10, 2, 10, 1, 10, 2, 2, 10, 1, 10, 1, 6, 2, 6, 6, 10, 1, 6, 1, 6, 2, 1, 1, 6, 1, 2, 1, 2, 10, 2, 6, 10, 10, 10, 10, 1, 10, 5, 6, 6, 1, 1, 1, 1, 2, 6, 6, 2, 1, 1, 2, 6, 1, 10, 6, 2, 0, 6, 1, 1, 1, 10, 1, 10, 10, 10, 2, 2, 1, 6, 1, 2, 9, 6, 1, 2, 0, 1, 10, 1, 2, 2, 2, 10, 2, 1, 1, 6, 6, 6, 5, 6, 6, 6, 6, 6, 10, 1, 6, 10, 2, 6, 2, 6, 2, 1, 2, 1, 2, 10, 6, 6, 2, 10, 1, 2, 2, 6, 10, 6, 0, 6, 10, 10, 6, 6, 6, 9, 1, 1, 10, 6, 2, 6, 1, 10, 2, 5, 6, 10, 10, 0, 1, 6, 9, 10, 2, 1, 6, 2, 2, 10, 2, 6, 1, 2, 10, 10, 10, 2, 10, 10, 10, 2, 6, 1, 6, 6, 2, 1, 2, 9, 19, 6, 2, 1, 1, 1, 6, 10, 1, 2, 1, 6, 1, 10, 6, 1, 10, 1, 2, 2, 2, 10, 10, 1, 10, 2, 10, 0, 2, 1, 2, 10, 6, 1, 6, 1, 1, 10, 6, 6, 2, 2, 1, 1, 1, 10, 2, 2, 2, 2, 10, 10, 6, 1, 10, 6, 2, 6, 10, 1, 5, 2, 10, 6, 6, 1, 2, 1, 1, 10, 2, 2, 1, 10, 2, 1, 9, 10, 1, 2, 6, 6, 10, 6, 10, 6, 6, 6, 10, 6, 10, 2, 1, 0, 1, 1, 1, 10, 2, 10, 10, 2, 2, 6, 10, 6, 2, 10, 1, 2, 10, 6, 10, 9, 6, 6, 10, 6, 1, 1, 10, 2, 1, 1, 1, 1, 6, 1, 10, 2, 6, 10, 1, 2, 10, 10, 2, 6, 8, 1, 6, 1, 2, 1, 10, 2, 6, 2, 2, 2, 6, 1, 10, 6, 2, 10, 10, 2, 1, 10, 1, 6, 1, 1, 6, 1, 6, 2, 6, 1, 6, 1, 10, 2, 10, 10, 1, 6, 6, 6, 10, 1, 10, 1, 2, 10, 6, 1, 1, 6, 6, 10, 2, 1, 6, 2, 2, 10, 2, 2, 6, 1, 6, 6, 6, 6, 2, 2, 1, 10, 10, 1, 6, 9, 6, 10, 10, 2, 10, 2, 4, 1, 10, 6, 6, 0, 6, 1, 6, 6, 2, 0, 2, 2, 2, 2, 10, 1, 6, 10, 10, 10, 2, 2, 4, 2, 6, 6, 6, 10, 1, 6, 1, 10, 2, 2, 2, 1, 10, 2, 10, 2, 1, 10, 1, 10, 6, 2, 9, 2, 1, 6, 6, 1, 6, 1, 10, 2, 10, 2, 10, 10, 10, 6, 6, 10, 10, 2, 6, 1, 6, 2, 1, 4, 10, 6, 1, 2, 2, 10, 8, 1, 6, 10, 10, 10, 1, 6, 1, 2, 1, 2, 6, 6, 10, 6, 4, 2, 6, 2, 1, 1, 6, 2, 6, 10, 6, 1, 2, 6, 1, 1, 10, 10, 2, 0, 1, 6, 6, 10, 2, 2, 2, 6, 10, 1, 10, 10, 6, 2, 6, 6, 1, 1, 6, 2, 10, 6, 6, 2, 2, 5, 6, 1, 2, 2, 10, 1, 6, 2, 2, 1, 1, 2, 6, 2, 2, 1, 2, 6, 2, 2, 1, 10, 1, 10, 10, 1, 6, 2, 2, 2, 6, 2, 10, 10, 6, 9, 10, 1, 2, 6, 1, 2, 10, 2, 10, 2, 10, 10, 10, 1, 10, 1, 2, 1, 6, 2, 2, 10, 6, 1, 2, 10, 1, 10, 6, 1, 10, 10, 10, 2, 2, 1, 2, 10, 1, 6, 2, 10, 10, 1, 2, 10, 2, 1, 6, 1, 2, 1, 2, 2, 1, 2, 2, 6, 2, 6, 6, 2, 6, 10, 1, 1, 2, 6, 10, 2, 2, 6, 6, 10, 6, 2, 6, 1, 2, 1, 6, 10, 2, 6, 6, 2, 1, 1, 1, 6, 2, 2, 6, 10, 10, 7, 1, 10, 2, 10, 1, 6, 6, 10, 2, 6, 1, 2, 2, 2, 2, 0, 10, 10, 2, 10, 1, 6, 2, 9, 2, 1, 10, 10, 2, 2, 2, 10, 10, 2, 2, 10, 6, 2, 2, 1, 1, 6, 10, 2, 10, 1, 2, 2, 10, 10, 2, 1, 6, 10, 10, 1, 2, 10, 10, 2, 10, 6, 2, 6, 2, 6, 6, 2, 2, 2, 1, 10, 2, 2, 1, 6, 6, 10, 1, 6, 6, 6, 6, 1, 2, 10, 2, 1, 6, 2, 1, 0, 1, 1, 6, 2, 2, 2, 2, 6, 2, 1, 10, 6, 2, 1, 2, 10, 2, 1, 2, 1, 1, 1, 2, 2, 10, 1, 10, 10, 1, 1, 1, 10, 2, 10, 1, 6, 6, 2, 2, 2, 10, 10, 2, 1, 6, 6, 6, 1, 6, 6, 2, 2, 2, 6, 2, 5, 1, 6, 10, 10, 10, 10, 10, 2, 10, 2, 10, 6, 6, 10, 6, 10, 10, 1, 2, 9, 6, 1, 10, 6, 10, 1, 2, 2, 6, 2, 2, 10, 10, 6, 10, 10, 2, 1, 2, 6, 6, 10, 6, 10, 10, 6, 10, 6, 2, 6, 9, 1, 6, 10, 6, 4, 6, 10, 2, 1, 1, 6, 10, 10, 1, 2, 1, 4, 1, 2, 2, 6, 6, 10, 1, 3, 6, 6, 6, 10, 10, 6, 10, 3, 6, 6, 1, 2, 10, 6, 2, 10, 1, 2, 2, 10, 2, 10, 2, 2, 1, 2, 10, 1, 1, 10, 6, 6, 6, 2, 10, 1, 1, 2, 10, 10, 2, 10, 6, 2, 10, 2, 2, 10, 10, 1, 10, 1, 2, 1, 1, 2, 10, 1, 6, 2, 10, 6, 9, 2, 6, 10, 6, 6, 2, 6, 2, 1, 1, 2, 1, 6, 6, 1, 6, 10, 6, 2, 2, 10, 2, 2, 10, 1, 1, 1, 1, 2, 10, 1, 10, 1, 1, 2, 1, 2, 4, 2, 6, 6, 6, 6, 1, 2, 2, 1, 1, 1, 4, 6, 1, 2, 2, 10, 10, 10, 2, 10, 10, 2, 6, 10, 6, 2, 9, 10, 10, 1, 1, 2, 10, 6, 1, 1, 10, 10, 2, 1, 10, 10, 6, 10, 10, 6, 2, 6, 6, 2, 10, 2, 2, 1, 2, 1, 10, 10, 1, 1, 6, 1, 1, 6, 10, 6, 6, 6, 6, 4, 10, 0, 2, 2, 10, 6, 10, 2, 1, 2, 1, 1, 10, 1, 1, 2, 6, 1, 5, 10, 2, 1, 1, 2, 10, 10, 2, 6, 1, 6, 6, 10, 10, 10, 6, 1, 1, 1, 1, 6, 10, 10, 1, 1, 1, 1, 2, 1, 2, 10, 2, 1, 6, 1, 1, 6, 6, 6, 1, 10, 2, 10, 9, 6, 6, 10, 10, 9, 10, 10, 2, 2, 2, 1, 10, 2, 6, 6, 6, 10, 2, 2, 1, 10, 1, 6, 1, 10, 2, 2, 2, 6, 2, 10, 6, 2, 4, 6, 1, 6, 1, 10, 10, 1, 6, 10, 2, 2, 6, 1, 4, 1, 6, 6, 2, 6, 10, 6, 6, 6, 10, 6, 10, 10, 6, 6, 6, 10, 10, 2, 1, 1, 1, 2, 0, 2, 2, 10, 9, 1, 2, 1, 10, 1, 1, 1, 6, 10, 10, 2, 6, 10, 1, 2, 6, 10, 2, 10, 1, 10, 10, 1, 1, 6, 10, 2, 6, 10, 6, 4, 6, 10, 6, 2, 6, 2, 1, 2, 4, 2, 2, 6, 6, 2, 6, 10, 6, 6, 10, 6, 10, 1, 10, 2, 6, 2, 2, 1, 6, 2, 2, 10, 1, 6, 1, 6, 6, 6, 0, 2, 2, 10, 2, 10, 6, 1, 2, 10, 6, 6, 1, 1, 0, 6, 10, 1, 2, 6, 6, 2, 6, 2, 6, 2, 2, 6, 6, 1, 6, 10, 10, 1, 2, 1, 2, 10, 1, 6, 1, 1, 1, 10, 9, 10, 6, 1, 2, 6, 6, 10, 10, 1, 10, 1, 6, 10, 2, 2, 6, 6, 2, 5, 2, 1, 2, 2, 2, 6, 2, 9, 1, 2, 0, 10, 1, 1, 2, 6, 6, 1, 10, 10, 2, 6, 6, 1, 2, 1, 1, 10, 10, 2, 1, 10, 6, 1, 1, 2, 2, 1, 2, 6, 2, 6, 10, 0, 2, 2, 4, 1, 1, 1, 2, 10, 6, 10, 6, 10, 10, 1, 2, 10, 6, 10, 1, 10, 2, 10, 1, 10, 10, 6, 6, 10, 10, 10, 10, 6, 1, 6, 4, 1, 1, 1, 1, 1, 10, 10, 10, 1, 2, 6, 6, 2, 10, 6, 2, 1, 6, 6, 2, 2, 1, 10, 2, 10, 1, 6, 1, 10, 10, 0, 10, 6, 10, 6, 10, 10, 6, 2, 1, 6, 2, 10, 10, 1, 2, 10, 6, 1, 1, 1, 2, 2, 2, 1, 6, 1, 2, 2, 1, 10, 2, 1, 1, 2, 2, 6, 1, 10, 6, 2, 6, 2, 10, 1, 2, 2, 6, 2, 10, 7, 10, 5, 2, 2, 10, 1, 10, 2, 1, 6, 10, 1, 2, 1, 1, 6, 9, 6, 10, 1, 1, 6, 1, 10, 1, 6, 6, 10, 10, 10, 6, 2, 6, 10, 2, 10, 2, 10, 10, 2, 2, 10, 6, 6, 6, 10, 2, 2, 1, 6, 6, 6, 2, 6, 1, 2, 1, 1, 10, 1, 1, 6, 2, 6, 2, 1, 6, 10, 6, 2, 6, 2, 1, 1, 6, 1, 2, 10, 2, 10, 1, 10, 6, 2, 10, 1, 2, 1, 1, 6, 2, 1, 6, 2, 2, 4, 10, 6, 6, 1, 10, 6, 10, 9, 6, 1, 6, 2, 6, 1, 10, 5, 1, 6, 6, 6, 6, 4, 0, 2, 10, 1, 1, 1, 1, 5, 1, 6, 6, 10, 6, 10, 10, 1, 6, 6, 2, 2, 2, 10, 6, 6, 1, 1, 4, 10, 1, 6, 1, 6, 1, 1, 1, 1, 2, 1, 2, 5, 1, 1, 1, 2, 10, 2, 5, 10, 6, 6, 1, 1, 10, 10, 10, 1, 6, 10, 10, 1, 6, 10, 6, 6, 2, 10, 6, 6, 2, 10, 6, 2, 10, 10, 10, 1, 2, 1, 10, 6, 2, 1, 2, 1, 6, 9, 10, 1, 10, 10, 10, 2, 10, 1, 6, 6, 1, 1, 1, 10, 6, 10, 6, 2, 1, 6, 6, 2, 10, 10, 2, 1, 2, 2, 6, 2, 6, 6, 1, 10, 1, 1, 2, 1, 7, 2, 10, 2, 1, 9, 6, 6, 6, 1, 2, 6, 2, 6, 10, 2, 2, 1, 6, 10, 2, 1, 2, 10, 2, 2, 6, 2, 2, 10, 1, 6, 6, 1, 2, 2, 10, 10, 6, 10, 6, 6, 10, 1, 6, 9, 1, 1, 10, 10, 1, 2, 2, 10, 6, 1, 2, 6, 10, 6, 6, 6, 1, 2, 1, 1, 6, 1, 6, 1, 10, 10, 10, 6, 2, 10, 1, 1, 6, 1, 10, 2, 10, 1, 10, 10, 2, 10, 1, 10, 2, 6, 1, 1, 1, 1, 2, 1, 10, 1, 10, 10, 10, 10, 10, 6, 10, 2, 1, 2, 1, 10, 10, 2, 2, 8, 1, 10, 2, 1, 10, 2, 1, 2, 6, 2, 1, 6, 2, 10, 6, 10, 10, 6, 1, 1, 10, 6, 1, 2, 6, 10, 1, 2, 2, 2, 9, 2, 1, 6, 1, 1, 1, 6, 10, 6, 10, 1, 2, 10, 1, 6, 10, 9, 1, 10, 6, 0, 1, 10, 2, 10, 1, 10, 1, 6, 6, 2, 1, 6, 2, 10, 1, 6, 2, 6, 6, 2, 10, 2, 2, 2, 2, 6, 6, 10, 10, 10, 1, 10, 10, 6, 2, 6, 0, 10, 6, 10, 10, 6, 10, 6, 1, 10, 10, 1, 10, 6, 2, 1, 10, 1, 10, 1, 10, 1, 1, 6, 2, 1, 6, 2, 2, 1, 10, 10, 4, 2, 6, 6, 6, 6, 10, 0, 10, 1, 10, 6, 10, 1, 10, 1, 6, 6, 10, 10, 6, 10, 10, 6, 1, 6, 6, 4, 10, 6, 6, 2, 2, 2, 6, 10, 10, 10, 2, 6, 10, 10, 2, 10, 6, 6, 6, 2, 6, 2, 2, 6, 1, 2, 9, 6, 1, 1, 1, 6, 2, 6, 6, 2, 6, 1, 1, 6, 1, 10, 6, 6, 6, 10, 1, 2, 6, 6, 2, 2, 1, 2, 6, 1, 1, 10, 10, 2, 10, 10, 2, 2, 10, 1, 10, 6, 6, 2, 1, 1, 2, 10, 1, 10, 1, 10, 2, 10, 2, 1, 1, 6, 1, 2, 2, 4, 1, 10, 2, 10, 2, 1, 2, 2, 1, 6, 2, 1, 1, 10, 6, 2, 6, 10, 1, 2, 6, 1, 10, 6, 1, 10, 1, 6, 1, 6, 10, 2, 1, 10, 1, 10, 10, 2, 10, 10, 5, 6, 6, 6, 1, 10, 6, 10, 10, 1, 1, 6, 10, 1, 1, 6, 2, 1, 6, 2, 6, 1, 6, 2, 6, 1, 10, 10, 1, 6, 6, 10, 9, 10, 2, 2, 2, 1, 6, 10, 1, 6, 1, 1, 6, 2, 6, 6, 2, 10, 1, 1, 6, 10, 6, 2, 6, 2, 2, 10, 2, 6, 6, 6, 10, 6, 2, 1, 6, 6, 1, 10, 1, 2, 2, 1, 1, 10, 5, 6, 6, 10, 10, 6, 2, 10, 1, 2, 10, 6, 10, 2, 10, 10, 10, 2, 6, 10, 2, 1, 10, 1, 2, 2, 1, 1, 6, 2, 10, 10, 2, 2, 6, 4, 6, 6, 2, 2, 6, 1, 10, 2, 1, 6, 1, 10, 6, 6, 2, 1, 2, 6, 1, 10, 6, 10, 10, 2, 10, 1, 1, 10, 10, 1, 10, 1, 10, 10, 6, 1, 10, 6, 2, 1, 10, 6, 1, 1, 6, 2, 1, 2, 1, 1, 2, 1, 6, 10, 2, 2, 1, 10, 2, 1, 2, 1, 2, 10, 2, 6, 4, 4, 2, 2, 1, 1, 10, 2, 10, 2, 6, 6, 1, 6, 6, 10, 1, 1, 2, 2, 2, 6, 1, 10, 6, 2, 6, 10, 10, 1, 10, 10, 10, 2, 1, 10, 5, 6, 2, 10, 1, 10, 6, 6, 5, 1, 10, 10, 10, 2, 5, 1, 6, 6, 6, 6, 6, 6, 1, 10, 1, 10, 6, 2, 6, 1, 2, 2, 1, 6, 2, 2, 2, 2, 10, 6, 1, 6, 1, 6, 10, 1, 6, 1, 5, 1, 10, 10, 1, 10, 10, 10, 1, 1, 1, 6, 6, 2, 6, 6, 1, 6, 1, 1, 0, 10, 2, 6, 1, 6, 2, 10, 2, 1, 6, 10, 6, 2, 2, 6, 2, 2, 1, 10, 1, 6, 6, 1, 10, 10, 2, 6, 2, 9, 6, 1, 1, 6, 6, 2, 10, 10, 1, 1, 1, 1, 1, 10, 10, 10, 2, 6, 10, 2, 6, 6, 6, 6, 10, 6, 1, 1, 2, 6, 2, 2, 6, 9, 6, 10, 1, 5, 2, 10, 1, 6, 6, 10, 1, 2, 6, 10, 2, 1, 5, 10, 10, 1, 1, 10, 10, 6, 10, 2, 6, 10, 10, 2, 2, 1, 6, 6, 2, 1, 6, 6, 2, 6, 1, 6, 1, 1, 2, 6, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 10, 6, 6, 1, 2, 1, 10, 10, 6, 6, 6, 10, 6, 10, 6, 6, 10, 2, 10, 1, 2, 1, 2, 6, 1, 10, 6, 1, 1, 1, 6, 6, 6, 1, 10, 2, 1, 1, 2, 6, 6, 1, 2, 9, 6, 1, 6, 1, 10, 2, 10, 6, 10, 6, 2, 6, 2, 9, 6, 10, 1, 1, 1, 10, 1, 10, 6, 1, 10, 2, 2, 6, 6, 6, 10, 2, 6, 6, 6, 2, 2, 1, 1, 1, 2, 10, 2, 6, 6, 6, 2, 2, 9, 6, 6, 10, 1, 6, 6, 6, 6, 10, 6, 5, 6, 6, 6, 2, 6, 10, 2, 10, 6, 6, 2, 10, 2, 2, 6, 6, 6, 2, 10, 10, 10, 2, 2, 9, 10, 10, 10, 10, 1, 6, 6, 2, 10, 1, 6, 1, 10, 6, 1, 6, 2, 1, 6, 10, 2, 6, 10, 1, 1, 2, 10, 10, 6, 1, 2, 1, 9, 10, 10, 2, 10, 1, 6, 1, 6, 6, 6, 2, 1, 10, 6, 6, 1, 6, 1, 6, 10, 2, 2, 10, 10, 10, 1, 10, 9, 2, 6, 6, 6, 1, 2, 6, 6, 6, 2, 6, 10, 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6, 2, 1, 10, 2, 2, 1, 6, 6, 2, 10, 2, 10, 6, 6, 2, 10, 2, 6, 6, 1, 10, 1, 4, 4, 6, 6, 2, 1, 2, 2, 6, 6, 1, 1, 20, 1, 1, 6, 10, 1, 6, 10, 6, 2, 1, 10, 6, 1, 6, 6, 10, 2, 2, 2, 10, 2, 10, 1, 10, 10, 10, 10, 6, 2, 10, 6, 6, 1, 10, 10, 2, 10, 2, 6, 10, 10, 1, 6, 2, 6, 10, 6, 10, 2, 6, 10, 1, 10, 1, 1, 6, 10, 6, 1, 6, 1, 6, 2, 6, 6, 2, 4, 2, 6, 10, 1, 10, 2, 6, 10, 9, 0, 2, 10, 1, 6, 1, 1, 6, 1, 2, 2, 6, 2, 2, 6, 2, 10, 6, 2, 6, 6, 6, 1, 10, 6, 2, 1, 1, 10, 1, 6, 5, 6, 1, 2, 6, 1, 2, 1, 2, 10, 10, 6, 10, 6, 2, 1, 10, 6, 10, 10, 6, 1, 2, 1, 2, 2, 1, 2, 10, 6, 6, 6, 10, 5, 2, 2, 6, 2, 2, 10, 2, 2, 1, 10, 2, 10, 6, 10, 1, 6, 6, 6, 10, 6, 10, 2, 0, 10, 6, 6, 2, 2, 2, 1, 10, 1, 6, 6, 2, 6, 1, 2, 2, 2, 2, 2, 10, 5, 1, 6, 6, 6, 10, 10, 1, 6, 6, 6, 2, 10, 6, 1, 6, 1, 1, 6, 6, 2, 1, 1, 6, 6, 1, 2, 2, 10, 1, 10, 10, 10, 10, 6, 10, 6, 2, 1, 10, 1, 2, 1, 1, 10, 1, 10, 2, 1, 2, 6, 2, 6, 2, 1, 1, 10, 6, 10, 6, 2, 6, 10, 6, 10, 1, 10, 10, 1, 2, 5, 1, 10, 10, 10, 10, 2, 6, 10, 2, 6, 6, 6, 10, 10, 6, 10, 10, 2, 2, 2, 2, 6, 1, 2, 6, 6, 2, 10, 6, 10, 6, 6, 10, 1, 6, 2, 10, 10, 6, 10, 6, 6, 6, 2, 10, 2, 10, 2, 2, 6, 1, 2, 1, 1, 6, 1, 1, 1, 6, 10, 6, 6, 6, 6, 6, 6, 6, 10, 6, 2, 1, 1, 2, 1, 6, 1, 10, 2, 10, 10, 10, 6, 6, 10, 6, 2, 6, 2, 10, 2, 6, 1, 2, 1, 10, 6, 2, 0, 2, 6, 6, 2, 1, 1, 1, 5, 10, 2, 10, 6, 10, 10, 10, 5, 10, 1, 6, 2, 10, 2, 2, 2, 10, 1, 2, 6, 2, 6, 6, 10, 10, 6, 2, 2, 2, 6, 2, 6, 6, 1, 10, 1, 10, 1, 10, 6, 6, 10, 6, 6, 6, 6, 2, 1, 2, 2, 2, 6, 6, 1, 6, 10, 2, 2, 10, 1, 1, 10, 1, 10, 1, 1, 2, 10, 10, 6, 6, 2, 10, 10, 1, 6, 4, 2, 2, 6, 2, 2, 2, 1, 1, 6, 10, 2, 10, 6, 1, 10, 10, 2, 10, 10, 10, 0, 2, 2, 1, 1, 2, 10, 1, 1, 1, 10, 2, 2, 2, 10, 1, 0, 10, 10, 10, 10, 1, 2, 1, 2, 2, 2, 10, 6, 2, 9, 10, 2, 10, 6, 2, 10, 10, 10, 5, 1, 6, 10, 1, 6, 1, 2, 6, 6, 6, 2, 10, 1, 2, 1, 2, 6, 2, 2, 2, 6, 6, 2, 1, 6, 6, 2, 10, 10, 1, 10, 6, 1, 10, 1, 1, 6, 2, 1, 2, 10, 6, 6, 10, 10, 6, 1, 6, 6, 6, 10, 1, 10, 1, 1, 2, 2, 2, 2, 10, 6, 1, 6, 10, 10, 6, 1, 1, 4, 10, 2, 10, 5, 10, 1, 1, 4, 6, 1, 10, 6, 1, 6, 2, 2, 1, 1, 2, 10, 6, 10, 10, 6, 6, 2, 2, 10, 2, 2, 2, 10, 2, 6, 6, 6, 1, 6, 2, 2, 6, 6, 10, 10, 2, 10, 2, 6, 10, 1, 6, 1, 10, 10, 1, 2, 1, 2, 6, 6, 2, 2, 6, 1, 2, 10, 10, 2, 1, 1, 2, 6, 10, 10, 10, 6, 2, 2, 2, 1, 2, 2, 6, 1, 1, 1, 2, 2, 10, 6, 6, 2, 1, 6, 2, 1, 1, 1, 10, 4, 10, 1, 2, 1, 10, 6, 10, 2, 2, 2, 2, 6, 2, 2, 1, 6, 6, 6, 2, 2, 2, 6, 6, 10, 10, 1, 6, 1, 0, 6, 1, 2, 1, 2, 6, 6, 1, 10, 6, 1, 6, 1, 2, 2, 2, 6, 10, 2, 6, 2, 1, 6, 10, 2, 1, 2, 1, 1, 6, 2, 10, 1, 6, 9, 2, 2, 4, 1, 6, 1, 10, 1, 6, 6, 10, 1, 2, 1, 10, 2, 10, 10, 6, 10, 2, 2, 1, 2, 2, 1, 2, 2, 6, 6, 10, 10, 6, 10, 6, 6, 1, 6, 1, 10, 2, 2, 10, 2, 2, 6, 10, 1, 10, 1, 1, 10, 1, 0, 1, 10, 1, 0, 10, 6, 9, 1, 1, 10, 2, 6, 10, 1, 10, 10, 2, 2, 6, 10, 10, 10, 6, 2, 2, 6, 2, 10, 10, 2, 2, 6, 2, 6, 2, 10, 6, 1, 1, 1, 2, 6, 6, 6, 6, 1, 10, 1, 1, 2, 1, 1, 2, 2, 6, 2, 1, 1, 2, 2, 6, 1, 10, 1, 10, 6, 2, 1, 10, 2, 6, 10, 1, 2, 6, 10, 1, 2, 6, 10, 1, 1, 10, 2, 6, 10, 1, 10, 1, 2, 2, 6, 2, 10, 6, 5, 2, 2, 2, 1, 1, 2, 10, 2, 1, 2, 5, 6, 10, 2, 2, 2, 10, 2, 1, 1, 10, 6, 2, 1, 2, 7, 9, 1, 1, 2, 6, 2, 6, 1, 1, 2, 10, 2, 1, 2, 2, 1, 2, 2, 6, 10, 6, 1, 10, 2, 4, 10, 10, 1, 10, 1, 10, 1, 1, 1, 2, 1, 10, 10, 10, 10, 6, 1, 1, 6, 2, 1, 6, 10, 1, 2, 10, 2, 2, 2, 10, 1, 6, 10, 2, 10, 2, 6, 10, 10, 2, 6, 2, 6, 6, 1, 2, 10, 10, 1, 1, 1, 6, 6, 10, 2, 2, 2, 6, 6, 2, 10, 6, 10, 2, 1, 2, 10, 10, 4, 1, 2, 6, 6, 6, 2, 1, 10, 6, 10, 1, 1, 2, 1, 2, 6, 1, 1, 10, 6, 6, 10, 6, 6, 2, 10, 1, 1, 2, 2, 6, 6, 6, 10, 2, 6, 10, 10, 10, 1, 6, 6, 1, 1, 1, 6, 1, 2, 1, 1, 1, 6, 6, 1, 10, 10, 10, 1, 2, 2, 6, 2, 1, 1, 1, 1, 6, 10, 6, 9, 1, 2, 6, 10, 2, 6, 1, 10, 2, 1, 1, 6, 2, 10, 1, 6, 2, 1, 2, 1, 6, 10, 10, 10, 6, 2, 1, 2, 2, 4, 10, 10, 2, 1, 10, 6, 2, 10, 2, 10, 2, 10, 1, 10, 6, 10, 1, 1, 2, 10, 2, 10, 1, 6, 10, 10, 10, 1, 6, 2, 2, 6, 10, 2, 10, 1, 2, 6, 6, 1, 2, 1, 6, 2, 10, 1, 2, 10, 10, 6, 10, 2, 2, 10, 1, 6, 6, 2, 10, 1, 1, 1, 2, 6, 0, 10, 2, 6, 6, 2, 10, 1, 6, 2, 2, 6, 1, 6, 6, 10, 2, 6, 2, 6, 6, 6, 2, 6, 6, 2, 10, 10, 6, 1, 1, 2, 2, 6, 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2, 2, 2, 1, 6, 1, 6, 1, 1, 1, 2, 1, 1, 10, 2, 1, 6, 6, 6, 6, 2, 1, 2, 1, 2, 1, 10, 6, 6, 6, 2, 2, 2, 2, 6, 1, 2, 2, 6, 6, 4, 6, 6, 2, 10, 1, 1, 10, 1, 1, 2, 2, 1, 1, 2, 6, 10, 1, 2, 6, 1, 2, 1, 9, 10, 6, 2, 6, 1, 2, 2, 1, 0, 4, 10, 10, 6, 1, 1, 6, 2, 10, 6, 6, 6, 2, 1, 2, 1, 2, 10, 2, 2, 2, 10, 1, 1, 10, 6, 6, 6, 6, 6, 6, 10, 10, 10, 2, 1, 1, 6, 6, 10, 2, 10, 10, 2, 10, 10, 2, 6, 6, 10, 2, 1, 1, 1, 10, 2, 10, 6, 10, 2, 1, 4, 5, 2, 1, 2, 6, 6, 6, 1, 10, 2, 1, 1, 1, 10, 1, 2, 1, 6, 10, 2, 10, 2, 6, 2, 6, 2, 2, 6, 10, 10, 1, 6, 2, 2, 1, 2, 6, 2, 10, 10, 6, 10, 6, 10, 6, 10, 50, 2, 2, 10, 2, 10, 6, 1, 6, 6, 10, 10, 6, 1, 2, 2, 2, 1, 6, 2, 5, 2, 2, 1, 2, 2, 10, 6, 10, 1, 1, 1, 2, 10, 1, 1, 10, 6, 10, 2, 6, 1, 1, 2, 1, 10, 6, 6, 10, 6, 10, 10, 1, 2, 10, 10, 10, 6, 6, 2, 2, 1, 10, 6, 10, 10, 2, 10, 6, 1, 2, 2, 6, 6, 10, 6, 2, 2, 1, 2, 6, 10, 5, 2, 10, 2, 1, 1, 6, 6, 6, 10, 10, 1, 6, 6, 10, 2, 6, 1, 2, 10, 2, 2, 1, 2, 10, 10, 2, 6, 6, 2, 1, 2, 1, 2, 1, 10, 6, 10, 10, 6, 6, 10, 10, 2, 2, 6, 1, 6, 1, 6, 6, 10, 10, 6, 2, 10, 2, 1, 2, 1, 4, 10, 2, 1, 1, 10, 10, 2, 1, 6, 2, 2, 1, 2, 1, 2, 10, 6, 6, 1, 2, 10, 1, 1, 6, 10, 6, 6, 1, 6, 10, 6, 4, 2, 1, 2, 10, 10, 10, 2, 10, 1, 2, 6, 4, 6, 10, 10, 10, 1, 10, 1, 1, 1, 1, 1, 2, 6, 1, 10, 2, 2, 2, 1, 10, 1, 6, 2, 1, 1, 10, 6, 1, 1, 1, 6, 10, 2, 1, 10, 10, 6, 10, 6, 6, 2, 1, 2, 6, 6, 10, 1, 1, 10, 6, 1, 1, 10, 2, 10, 1, 6, 2, 10, 1, 10, 6, 6, 6, 6, 10, 1, 6, 2, 2, 2, 2, 2, 1, 10, 1, 1, 2, 6, 1, 10, 4, 1, 2, 10, 1, 1, 2, 2, 10, 2, 6, 2, 1, 1, 10, 4, 2, 10, 6, 2, 2, 6, 10, 10, 10, 6, 2, 2, 10, 6, 10, 6, 1, 2, 10, 1, 1, 1, 5, 10, 1, 2, 6, 2, 1, 10, 2, 6, 10, 6, 10, 6, 10, 1, 6, 1, 10, 2, 2, 6, 1, 2, 6, 6, 6, 2, 1, 2, 6, 2, 1, 10, 1, 2, 1, 2, 1, 2, 2, 10, 2, 2, 2, 6, 1, 2, 1, 1, 2, 10, 10, 2, 10, 6, 2, 1, 2, 10, 2, 2, 1, 6, 1, 1, 10, 1, 6, 10, 6, 1, 50, 2, 1, 6, 1, 6, 10, 10, 10, 1, 1, 10, 4, 1, 2, 6, 6, 10, 10, 6, 2, 6, 6, 2, 2, 1, 2, 2, 1, 2, 6, 2, 6, 10, 1, 2, 10, 1, 6, 1, 6, 10, 2, 1, 10, 4, 10, 2, 2, 1, 10, 1, 10, 6, 6, 2, 2, 6, 6, 1, 10, 10, 6, 1, 1, 10, 1, 1, 10, 2, 6, 6, 1, 2, 4, 10, 6, 2, 6, 6, 2, 2, 1, 6, 6, 6, 10, 1, 6, 2, 10, 10, 10, 2, 2, 10, 2, 2, 6, 1, 6, 1, 1, 1, 1, 6, 2, 6, 6, 6, 10, 1, 0, 10, 6, 10, 6, 10, 10, 2, 2, 1, 2, 6, 2, 10, 6, 2, 6, 1, 6, 1, 2, 6, 10, 2, 10, 2, 2, 2, 2, 1, 10, 6, 6, 5, 1, 1, 9, 2, 2, 1, 0, 2, 1, 6, 1, 10, 10, 2, 2, 10, 10, 10, 10, 10, 2, 6, 6, 6, 60, 2, 10, 2, 2, 10, 4, 6, 2, 2, 2, 2, 10, 2, 2, 10, 2, 2, 1, 6, 1, 6, 2, 6, 2, 6, 10, 6, 2, 2, 2, 1, 9, 1, 2, 2, 10, 1, 1, 6, 10, 6, 10, 10, 6, 2, 2, 6, 1, 2, 1, 2, 6, 6, 6, 6, 6, 1, 2, 2, 10, 1, 1, 1, 10, 10, 2, 10, 1, 2, 2, 1, 2, 0, 6, 1, 2, 10, 10, 2, 1, 6, 6, 2, 1, 1, 1, 6, 1, 2, 7, 1, 6, 10, 10, 2, 2, 1, 10, 6, 6, 10, 2, 10, 1, 6, 2, 1, 2, 1, 10, 10, 4, 2, 2, 10, 10, 1, 6, 2, 2, 6, 1, 6, 6, 2, 2, 6, 10, 6, 10, 2, 2, 9, 1, 1, 9, 6, 0, 1, 1, 6, 2, 10, 10, 6, 2, 6, 2, 2, 1, 6, 2, 6, 1, 2, 2, 1, 10, 2, 1, 2, 10, 1, 1, 2, 1, 6, 4, 2, 1, 10, 2, 6, 2, 2, 6, 6, 6, 10, 10, 2, 2, 10, 10, 10, 10, 2, 10, 1, 2, 6, 1, 6, 1, 2, 1, 2, 1, 1, 10, 1, 6, 1, 2, 6, 6, 1, 6, 1, 10, 6, 2, 2, 2, 2, 1, 6, 6, 6, 10, 10, 6, 10, 1, 2, 2, 2, 10, 6, 1, 6, 1, 6, 1, 10, 2, 2, 1, 2, 6, 2, 1, 10, 1, 10, 10, 1, 6, 1, 10, 10, 10, 6, 1, 10, 6, 4, 10, 1, 1, 4, 1, 6, 5, 1, 1, 2, 2, 6, 1, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 10, 2, 6, 10, 6, 10, 2, 6, 1, 6, 6, 1, 2, 10, 10, 10, 1, 6, 6, 1, 1, 6, 1, 1, 1, 6, 6, 10, 2, 10, 10, 2, 1, 2, 1, 10, 1, 6, 10, 10, 6, 6, 1, 6, 1, 2, 1, 10, 10, 6, 2, 6, 6, 10, 6, 1, 6, 10, 1, 6, 6, 1, 6, 10, 1, 2, 6, 10, 1, 1, 1, 2, 1, 1, 6, 10, 0, 1, 10, 1, 10, 6, 1, 1, 10, 10, 10, 6, 5, 7, 10, 6, 2, 6, 10, 2, 6, 2, 6, 2, 6, 1, 10, 1, 6, 6, 6, 10, 10, 0, 2, 2, 10, 1, 10, 2, 1, 2, 10, 6, 6, 2, 10, 4, 10, 2, 2, 10, 10, 2, 10, 2, 10, 1, 2, 10, 1, 10, 2, 10, 5, 10, 6, 2, 2, 2, 2, 1, 2, 2, 6, 1, 6, 1, 2, 1, 1, 1, 6, 6, 6, 6, 2, 2, 2, 1, 2, 10, 1, 10, 10, 6, 6, 4, 2, 2, 2, 1, 6, 6, 2, 10, 6, 10, 2, 2, 2, 6, 1, 1, 6, 6, 4, 1, 2, 1, 10, 10, 10, 10, 2, 6, 10, 1, 6, 6, 10, 6, 6, 1, 10, 6, 2, 1, 10, 2, 1, 1, 10, 1, 10, 6, 2, 2, 1, 2, 2, 6, 6, 6, 6, 6, 6, 1, 1, 6, 1, 10, 6, 2, 6, 2, 10, 2, 2, 10, 2, 1, 2, 9, 6, 6, 6, 2, 1, 1, 1, 1, 2, 6, 2, 6, 2, 10, 10, 1, 2, 6, 6, 1, 10, 1, 6, 2, 10, 1, 10, 10, 1, 2, 1, 6, 6, 10, 6, 10, 6, 2, 2, 10, 10, 5, 1, 6, 1, 6, 6, 10, 2, 1, 1, 1, 1, 2, 6, 10, 10, 9, 2, 2, 10, 10, 6, 2, 1, 10, 10, 2, 2, 6, 1, 10, 2, 2, 10, 10, 6, 1, 6, 6, 1, 10, 10, 6, 1, 1, 2, 10, 1, 2, 0, 1, 1, 6, 1, 1, 1, 6, 10, 1, 2, 0, 10, 1, 10, 9, 1, 2, 10, 10, 2, 1, 1, 10, 10, 6, 10, 1, 1, 2, 1, 10, 10, 10, 2, 10, 10, 2, 1, 5, 6, 2, 2, 1, 10, 4, 2, 10, 2, 6, 2, 10, 1, 1, 6, 10, 1, 2, 6, 1, 6, 9, 10, 2, 2, 1, 1, 2, 10, 1, 1, 6, 1, 1, 1, 0, 6, 2, 10, 6, 2, 1, 2, 6, 1, 10, 2, 10, 6, 6, 1, 10, 2, 5, 6, 6, 10, 1, 6, 2, 1, 1, 6, 6, 2, 10, 2, 10, 2, 6, 2, 10, 2, 10, 1, 6, 10, 2, 1, 10, 10, 6, 1, 1, 10, 6, 6, 1, 2, 1, 2, 10, 10, 6, 6, 10, 2, 1, 6, 6, 6, 2, 2, 1, 12, 10, 10, 6, 2, 2, 1, 2, 6, 2, 6, 10, 2, 6, 10, 1, 2, 1, 6, 10, 1, 0, 1, 10, 2, 6, 6, 6, 2, 1, 6, 2, 1, 6, 2, 6, 1, 10, 10, 1, 1, 6, 10, 6, 2, 6, 1, 2, 10, 6, 1, 1, 10, 1, 1, 6, 10, 1, 5, 1, 5, 10, 10, 2, 6, 10, 6, 6, 2, 10, 1, 2, 6, 2, 6, 10, 10, 5, 6, 1, 2, 2, 6, 1, 6, 4, 1, 10, 1, 6, 60, 2, 1, 1, 10, 1, 1, 2, 2, 2, 2, 10, 2, 2, 10, 6, 10, 10, 1, 6, 6, 6, 6, 1, 2, 10, 9, 10, 6, 10, 1, 6, 6, 1, 1, 1, 10, 10, 1, 2, 6, 6, 2, 10, 10, 10, 2, 6, 10, 1, 2, 1, 1, 10, 2, 1, 6, 2, 4, 2, 50, 2, 1, 1, 2, 10, 1, 6, 1, 1, 2, 6, 10, 2, 2, 1, 10, 6, 1, 2, 2, 1, 1, 1, 1, 6, 1, 2, 1, 6, 10, 1, 2, 2, 2, 6, 0, 10, 2, 6, 6, 6, 1, 10, 6, 6, 10, 10, 2, 10, 2, 10, 2, 1, 10, 10, 2, 2, 10, 10, 10, 6, 6, 1, 6, 6, 5, 2, 6, 6, 1, 1, 2, 1, 1, 6, 2, 1, 6, 0, 2, 10, 1, 2, 2, 2, 2, 6, 10, 6, 1, 1, 6, 6, 1, 6, 1, 2, 6, 6, 1, 1, 1, 1, 6, 10, 10, 10, 6, 1, 6, 10, 2, 2, 6, 1, 2, 1, 10, 10, 1, 6, 2, 6, 10, 1, 1, 1, 6, 10, 6, 2, 0, 2, 2, 2, 1, 2, 6, 9, 2, 10, 1, 9, 6, 10, 2, 1, 2, 2, 2, 10, 6, 6, 2, 1, 2, 1, 6, 2, 10, 6, 10, 2, 7, 2, 10, 2, 1, 1, 10, 1, 1, 10, 1, 10, 6, 10, 2, 1, 2, 1, 2, 10, 2, 6, 6, 2, 6, 1, 2, 1, 1, 6, 6, 2, 2, 1, 6, 2, 2, 6, 1, 10, 2, 1, 2, 6, 6, 1, 1, 1, 6, 2, 6, 10, 2, 2, 9, 10, 6, 6, 1, 1, 2, 10, 6, 1, 2, 2, 1, 1, 1, 2, 2, 10, 1, 6, 6, 2, 2, 1, 2, 6, 1, 1, 6, 10, 2, 4, 2, 10, 2, 2, 6, 1, 10, 10, 10, 6, 40, 10, 1, 10, 2, 10, 10, 10, 9, 6, 10, 10, 6, 10, 2, 2, 6, 6, 6, 2, 2, 1, 10, 6, 1, 1, 6, 1, 2, 2, 4, 6, 2, 10, 1, 1, 1, 2, 2, 2, 0, 10, 10, 2, 10, 1, 2, 2, 1, 10, 1, 2, 2, 6, 2, 2, 6, 1, 10, 10, 6, 2, 1, 2, 2, 2, 6, 10, 6, 2, 6, 10, 2, 2, 2, 1, 10, 4, 6, 1, 1, 1, 10, 6, 6, 6, 1, 2, 9, 2, 1, 6, 2, 10, 1, 6, 10, 1, 2, 2, 2, 1, 10, 2, 1, 10, 10, 2, 7, 10, 1, 2, 2, 6, 6, 10, 10, 10, 6, 10, 1, 10, 2, 10, 2, 10, 10, 6, 10, 2, 6, 10, 6, 10, 1, 10, 1, 2, 6, 2, 10, 6, 6, 1, 10, 10, 1, 9, 6, 2, 1, 10, 1, 10, 1, 10, 2, 2, 5, 1, 1, 10, 2, 6, 10, 1, 6, 2, 6, 1, 2, 10, 10, 6, 6, 1, 6, 2, 6, 1, 2, 6, 10, 10, 1, 10, 6, 10, 10, 2, 1, 6, 2, 2, 1, 1, 1, 6, 0, 1, 6, 10, 1, 6, 6, 10, 6, 6, 60, 1, 2, 6, 10, 6, 6, 9, 6, 6, 0, 9, 6, 2, 1, 6, 6, 2, 10, 1, 1, 1, 2, 1, 2, 10, 6, 2, 1, 1, 6, 6, 2, 1, 1, 6, 1, 2, 2, 2, 2, 2, 2, 2, 1, 6, 0, 6, 6, 6, 2, 6, 10, 1, 5, 2, 10, 2, 10, 10, 10, 10, 6, 6, 9, 2, 10, 10, 10, 1, 1, 10, 6, 6, 10, 10, 1, 1, 2, 2, 6, 1, 2, 1, 1, 2, 6, 1, 1, 2, 10, 6, 1, 10, 2, 5, 1, 10, 10, 10, 10, 5, 6, 2, 10, 9, 10, 6, 10, 2, 6, 10, 40, 1, 2, 6, 6, 4, 1, 2, 2, 6, 6, 10, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 6, 1, 1, 10, 6, 4, 1, 10, 1, 1, 10, 6, 10, 1, 6, 1, 10, 2, 10, 6, 6, 2, 1, 6, 1, 6, 6, 1, 10, 2, 10, 6, 2, 1, 0, 6, 10, 10, 1, 6, 1, 1, 1, 1, 6, 10, 2, 10, 2, 10, 6, 6, 6, 6, 9, 2, 1, 10, 10, 10, 10, 6, 6, 1, 2, 1, 9, 10, 10, 1, 1, 6, 6, 1, 2, 2, 6, 6, 6, 2, 2, 6, 6, 10, 1, 10, 6, 6, 10, 1, 1, 6, 2, 1, 6, 1, 10, 10, 10, 10, 1, 10, 2, 6, 10, 1, 2, 10, 2, 2, 2, 6, 2, 2, 10, 10, 2, 10, 6, 1, 6, 1, 2, 10, 6, 10, 10, 2, 2, 6, 6, 6, 2, 10, 10, 2, 1, 10, 6, 2, 2, 6, 10, 6, 2, 1, 2, 2, 2, 10, 1, 1, 1, 10, 10, 1, 6, 10, 2, 1, 10, 1, 6, 1, 1, 10, 2, 6, 10, 2, 1, 6, 1, 2, 1, 10, 1, 10, 1, 10, 10, 1, 6, 10, 10, 2, 10, 2, 6, 2, 1, 6, 1, 10, 1, 1, 2, 10, 1, 2, 10, 1, 1, 1, 10, 6, 2, 10, 1, 6, 10, 6, 10, 10, 1, 6, 10, 10, 2, 10, 10, 10, 1, 1, 1, 2, 2, 1, 6, 6, 10, 6, 10, 2, 2, 6, 6, 6, 2, 10, 6, 2, 6, 10, 2, 10, 6, 1, 1, 10, 6, 2, 1, 2, 10, 1, 6, 2, 2, 2, 1, 10, 6, 10, 10, 6, 1, 1, 1, 6, 6, 6, 2, 10, 8, 6, 2, 10, 6, 10, 6, 1, 6, 1, 10, 2, 2, 6, 2, 2, 6, 1, 1, 1, 6, 10, 1, 1, 10, 6, 10, 2, 2, 10, 1, 6, 6, 10, 1, 2, 10, 1, 10, 2, 6, 1, 6, 1, 1, 10, 10, 10, 1, 5, 10, 6, 6, 1, 1, 2, 10, 6, 1, 10, 4, 6, 6, 0, 2, 1, 6, 2, 1, 10, 4, 6, 2, 10, 1, 2, 1, 10, 2, 2, 6, 2, 10, 1, 2, 2, 1, 1, 6, 1, 2, 6, 6, 1, 10, 1, 1, 6, 6, 1, 1, 10, 1, 1, 2, 1, 10, 10, 10, 1, 1, 10, 6, 10, 2, 2, 10, 1, 10, 6, 2, 6, 2, 10, 10, 10, 10, 6, 10, 10, 1, 6, 1, 10, 2, 2, 1, 1, 6, 2, 6, 6, 1, 6, 6, 2, 2, 2, 6, 1, 1, 10, 6, 1, 1, 6, 1, 2, 2, 10, 10, 6, 10, 2, 10, 10, 1, 1, 2, 2, 2, 10, 1, 2, 2, 1, 10, 1, 10, 1, 1, 10, 1, 6, 1, 1, 1, 10, 6, 6, 6, 1, 6, 10, 2, 6, 2, 2, 6, 1, 1, 2, 10, 2, 10, 1, 10, 2, 10, 2, 10, 1, 2, 10, 2, 2, 1, 0, 2, 10, 1, 10, 10, 6, 10, 2, 6, 6, 6, 1, 6, 2, 2, 10, 1, 10, 2, 1, 1, 2, 6, 2, 6, 6, 2, 1, 2, 1, 1, 6, 10, 4, 2, 10, 10, 2, 6, 1, 10, 6, 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10, 2, 1, 6, 9, 2, 1, 6, 10, 10, 2, 10, 6, 10, 2, 2, 5, 6, 1, 6, 10, 2, 2, 6, 1, 1, 0, 6, 2, 2, 2, 6, 2, 1, 0, 6, 1, 10, 10, 10, 2, 10, 10, 10, 6, 2, 10, 5, 2, 10, 2, 10, 1, 10, 1, 6, 5, 0, 10, 2, 10, 10, 1, 6, 10, 1, 1, 1, 2, 6, 1, 4, 10, 1, 1, 10, 10, 2, 1, 10, 2, 1, 1, 6, 2, 1, 2, 6, 6, 1, 1, 1, 5, 6, 2, 2, 1, 6, 10, 1, 1, 10, 6, 6, 6, 1, 2, 1, 1, 2, 10, 6, 4, 6, 2, 6, 2, 1, 10, 6, 2, 2, 2, 6, 10, 10, 10, 1, 10, 2, 2, 1, 1, 10, 6, 1, 6, 10, 2, 1, 2, 1, 5, 6, 6, 2, 6, 2, 1, 10, 6, 6, 2, 2, 1, 6, 1, 2, 6, 6, 2, 2, 2, 2, 5, 1, 6, 10, 1, 6, 10, 2, 2, 10, 2, 1, 1, 10, 10, 1, 1, 10, 2, 10, 2, 10, 6, 6, 10, 2, 1, 6, 1, 1, 1, 2, 10, 10, 2, 1, 1, 1, 1, 7, 10, 4, 1, 2, 10, 10, 10, 6, 6, 9, 6, 10, 10, 6, 10, 6, 10, 1, 2, 6, 6, 2, 2, 6, 1, 6, 10, 6, 2, 2, 10, 6, 0, 6, 6, 2, 1, 1, 6, 1, 10, 10, 10, 6, 6, 2, 10, 10, 6, 10, 10, 1, 2, 1, 1, 10, 10, 10, 6, 10, 4, 10, 1, 2, 6, 2, 10, 6, 2, 10, 10, 10, 1, 2, 10, 1, 2, 10, 10, 6, 5, 2, 2, 10, 10, 6, 10, 1, 2, 2, 6, 2, 10, 2, 1, 10, 2, 1, 1, 6, 10, 2, 10, 1, 6, 6, 6, 10, 6, 2, 2, 1, 6, 10, 2, 6, 6, 1, 6, 1, 10, 6, 2, 6, 5, 6, 10, 6, 10, 10, 2, 6, 1, 6, 2, 10, 1, 6, 2, 1, 6, 2, 1, 6, 2, 10, 1, 10, 2, 1, 10, 6, 1, 6, 4, 6, 10, 2, 6, 1, 1, 2, 6, 10, 2, 10, 2, 2, 1, 6, 2, 6, 10, 10, 1, 1, 2, 2, 6, 6, 6, 2, 10, 6, 1, 1, 10, 10, 1, 2, 2, 2, 6, 2, 10, 6, 10, 2, 10, 2, 6, 6, 6, 1, 2, 2, 2, 1, 10, 10, 10, 2, 6, 1, 6, 10, 10, 2, 6, 10, 1, 50, 2, 1, 1, 10, 6, 2, 1, 6, 1, 6, 10, 10, 2, 6, 10, 10, 2, 6, 10, 6, 1, 10, 6, 2, 6, 10, 10, 6, 2, 2, 6, 10, 1, 6, 6, 1, 2, 10, 1, 1, 6, 6, 10, 2, 10, 1, 10, 1, 1, 2, 1, 9, 6, 2, 2, 6, 2, 1, 2, 10, 6, 1, 6, 6, 6, 6, 10, 1, 2, 2, 1, 10, 2, 10, 1, 10, 1, 1, 2, 2, 10, 10, 6, 6, 10, 10, 2, 10, 10, 1, 2, 1, 1, 2, 2, 2, 6, 2, 10, 6, 2, 1, 6, 10, 2, 6, 2, 10, 6, 6, 2, 1, 10, 10, 6, 2, 1, 10, 1, 2, 6, 2, 9, 2, 1, 2, 10, 2, 10, 10, 10, 10, 2, 10, 1, 1, 10, 2, 10, 10, 1, 10, 6, 2, 10, 1, 1, 6, 10, 2, 6, 2, 10, 10, 6, 0, 2, 2, 1, 4, 6, 2, 1, 1, 2, 10, 1, 6, 6, 1, 6, 2, 1, 6, 6, 6, 1, 4, 1, 10, 1, 0, 2, 2, 10, 10, 6, 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1, 2, 6, 6, 6, 2, 1, 1, 10, 1, 2, 6, 2, 2, 6, 2, 6, 9, 2, 1, 10, 10, 10, 6, 2, 2, 1, 10, 1, 2, 6, 2, 1, 5, 10, 2, 1, 6, 2, 1, 2, 4, 10, 1, 4, 6, 2, 2, 2, 6, 1, 1, 1, 10, 6, 2, 10, 6, 6, 2, 10, 10, 6, 10, 6, 1, 2, 2, 1, 6, 2, 6, 10, 1, 1, 6, 2, 1, 10, 2, 2, 1, 1, 10, 2, 10, 6, 10, 2, 2, 10, 1, 1, 6, 10, 2, 2, 6, 6, 6, 0, 6, 6, 6, 10, 10, 10, 2, 1, 1, 2, 1, 2, 1, 2, 10, 6, 2, 6, 10, 2, 10, 2, 1, 6, 2, 1, 1, 10, 2, 2, 2, 6, 1, 2, 10, 6, 5, 6, 6, 6, 2, 2, 6, 1, 6, 2, 1, 10, 6, 10, 6, 6, 1, 10, 10, 10, 10, 2, 6, 1, 2, 6, 1, 1, 10, 2, 10, 2, 10, 10, 2, 2, 10, 10, 10, 7, 10, 1, 1, 6, 1, 2, 6, 1, 10, 1, 6, 1, 10, 6, 10, 6, 1, 1, 10, 1, 10, 6, 10, 1, 2, 2, 10, 10, 2, 1, 1, 10, 6, 1, 6, 6, 6, 10, 10, 2, 6, 10, 1, 1, 1, 10, 6, 2, 1, 1, 1, 10, 6, 6, 10, 10, 2, 1, 1, 1, 6, 10, 6, 6, 10, 1, 1, 6, 2, 6, 6, 10, 10, 10, 6, 6, 4, 1, 6, 2, 1, 10, 1, 2, 6, 1, 1, 1, 2, 2, 10, 10, 10, 6, 10, 1, 6, 1, 6, 6, 6, 10, 10, 1, 1, 6, 2, 10, 1, 6, 6, 6, 2, 10, 1, 6, 6, 6, 6, 2, 2, 2, 2, 1, 1, 10, 10, 1, 1, 2, 10, 6, 6, 1, 1, 10, 2, 10, 6, 2, 1, 6, 10, 10, 1, 10, 10, 1, 10, 6, 6, 2, 10, 10, 2, 6, 1, 4, 10, 10, 6, 1, 1, 2, 2, 1, 10, 2, 1, 10, 6, 1, 10, 1, 2, 1, 2, 10, 9, 6, 2, 1, 6, 6, 1, 2, 6, 1, 6, 2, 2, 6, 10, 10, 6, 9, 1, 6, 10, 2, 10, 1, 10, 10, 10, 2, 2, 6, 9, 6, 1, 2, 6, 6, 10, 10, 1, 1, 10, 2, 2, 0, 1, 6, 2, 6, 10, 1, 1, 1, 10, 2, 1, 2, 1, 6, 10, 1, 6, 10, 2, 1, 6, 6, 2, 10, 2, 10, 6, 2, 1, 10, 10, 6, 1, 10, 1, 1, 10, 10, 0, 1, 10, 6, 10, 6, 10, 10, 10, 2, 6, 2, 6, 1, 6, 2, 10, 6, 2, 6, 10, 2, 2, 1, 10, 4, 10, 6, 10, 10, 1, 1, 6, 10, 6, 10, 10, 6, 1, 1, 5, 2, 2, 1, 5, 10, 1, 2, 1, 6, 10, 10, 2, 1, 10, 2, 9, 10, 2, 1, 1, 1, 6, 6, 2, 10, 1, 6, 2, 6, 1, 1, 10, 10, 6, 10, 1, 2, 6, 2, 2, 6, 2, 1, 6, 6, 2, 10, 6, 2, 10, 4, 2, 1, 10, 2, 6, 6, 1, 1, 1, 10, 1, 10, 2, 2, 2, 10, 1, 9, 10, 2, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 10, 6, 10, 6, 10, 6, 1, 1, 6, 10, 10, 10, 10, 10, 2, 2, 6, 1, 1, 10, 2, 6, 2, 6, 6, 10, 2, 2, 10, 6, 10, 6, 10, 10, 2, 1, 2, 2, 2, 6, 10, 2, 10, 1, 2, 1, 10, 1, 10, 6, 6, 1, 1, 5, 2, 6, 5, 1, 2, 10, 2, 2, 1, 6, 6, 2, 1, 2, 6, 1, 10, 2, 1, 1, 10, 2, 2, 10, 2, 10, 6, 6, 1, 6, 6, 1, 10, 10, 6, 10, 10, 10, 10, 10, 10, 5, 10, 6, 6, 2, 2, 10, 6, 1, 1, 2, 1, 2, 1, 6, 6, 6, 1, 2, 10, 10, 1, 10, 1, 6, 6, 6, 1, 10, 10, 10, 1, 2, 10, 6, 2, 10, 10, 6, 2, 10, 6, 6, 6, 2, 10, 2, 6, 6, 2, 10, 6, 6, 6, 1, 1, 10, 2, 1, 6, 10, 1, 6, 10, 2, 6, 1, 10, 10, 6, 2, 1, 1, 10, 6, 2, 6, 6, 2, 6, 2, 10, 10, 6, 6, 10, 10, 1, 2, 2, 10, 1, 1, 1, 10, 6, 2, 6, 1, 2, 2, 6, 1, 1, 2, 2, 6, 6, 6, 1, 1, 1, 10, 6, 10, 1, 1, 10, 10, 10, 10, 10, 1, 10, 10, 6, 1, 10, 10, 6, 2, 10, 6, 1, 2, 2, 2, 10, 6, 2, 1, 1, 6, 6, 10, 2, 2, 1, 10, 1, 1, 1, 1, 1, 1, 2, 2, 10, 6, 10, 10, 1, 10, 10, 1, 6, 10, 6, 10, 6, 2, 10, 1, 10, 10, 6, 6, 2, 2, 2, 2, 10, 10, 1, 2, 10, 10, 10, 6, 1, 6, 2, 1, 6, 6, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 6, 10, 10, 10, 2, 2, 6, 10, 6, 1, 6, 5, 2, 2, 10, 10, 2, 10, 1, 6, 10, 10, 2, 2, 6, 6, 1, 6, 1, 6, 2, 2, 6, 10, 10, 1, 10, 2, 2, 1, 1, 10, 2, 6, 2, 10, 2, 1, 1, 6, 1, 1, 10, 6, 0, 2, 1, 6, 1, 10, 6, 2, 6, 6, 1, 10, 2, 2, 10, 6, 2, 2, 1, 2, 1, 10, 10, 10, 1, 10, 6, 9, 10, 0, 2, 2, 2, 2, 2, 10, 10, 6, 10, 2, 6, 1, 2, 4, 1, 2, 10, 2, 2, 2, 4, 10, 2, 10, 6, 10, 10, 6, 1, 6, 1, 6, 2, 10, 2, 2, 2, 2, 2, 2, 1, 9, 10, 10, 10, 1, 10, 1, 10, 1, 10, 6, 10, 10, 2, 2, 6, 6, 10, 6, 10, 1, 6, 6, 2, 1, 1, 1, 6, 2, 5, 10, 2, 6, 10, 2, 6, 6, 1, 1, 10, 1, 2, 10, 2, 10, 2, 2, 2, 1, 6, 2, 10, 1, 2, 10, 6, 10, 2, 6, 6, 6, 10, 1, 1, 6, 1, 2, 1, 1, 1, 6, 1, 10, 6, 6, 1, 10, 2, 2, 5, 2, 1, 1, 6, 6, 6, 10, 0, 2, 6, 10, 6, 2, 2, 6, 6, 6, 1, 1, 10, 1, 1, 2, 10, 2, 2, 1, 10, 10, 1, 6, 2, 1, 6, 2, 6, 2, 9, 2, 2, 6, 10, 1, 1, 6, 6, 10, 1, 2, 10, 2, 2, 10, 6, 1, 1, 10, 5, 2, 10, 6, 6, 6, 1, 1, 10, 2, 10, 1, 2, 5, 1, 1, 6, 10, 1, 6, 2, 6, 1, 10, 6, 2, 2, 6, 10, 6, 6, 1, 6, 1, 6, 2, 1, 1, 1, 1, 10, 6, 2, 10, 1, 10, 10, 10, 1, 10, 1, 6, 1, 1, 6, 2, 1, 6, 6, 1, 0, 0, 10, 2, 6, 6, 2, 1, 2, 10, 1, 2, 6, 2, 1, 6, 10, 10, 6, 1, 2, 6, 1, 6, 1, 10, 6, 10, 6, 1, 10, 10, 9, 10, 1, 10, 10, 10, 2, 10, 2, 10, 6, 10, 10, 6, 6, 1, 6, 2, 2, 2, 6, 2, 6, 2, 2, 6, 6, 10, 6, 2, 2, 1, 1, 10, 6, 2, 2, 2, 6, 2, 6, 2, 2, 1, 2, 6, 1, 10, 10, 1, 2, 6, 2, 2, 6, 10, 1, 2, 5, 6, 2, 2, 2, 2, 10, 2, 10, 10, 1, 6, 1, 10, 6, 2, 2, 2, 1, 5, 6, 6, 10, 9, 6, 10, 40, 2, 1, 2, 2, 6, 2, 2, 10, 6, 1, 2, 1, 10, 6, 10, 1, 2, 10, 2, 6, 60, 10, 1, 6, 1, 10, 1, 1, 2, 10, 1, 10, 6, 10, 10, 10, 6, 10, 6, 6, 4, 6, 10, 10, 6, 6, 10, 2, 10, 10, 6, 2, 6, 10, 2, 9, 5, 2, 1, 10, 2, 6, 10, 1, 6, 3, 2, 1, 10, 0, 6, 6, 6, 2, 2, 2, 10, 2, 10, 2, 1, 2, 10, 10, 5, 2, 6, 6, 2, 6, 5, 6, 6, 0, 1, 10, 4, 10, 1, 6, 1, 10, 10, 10, 6, 10, 2, 6, 10, 1, 1, 10, 2, 1, 1, 6, 10, 6, 1, 2, 2, 6, 6, 2, 2, 1, 1, 10, 10, 1, 2, 2, 1, 1, 2, 2, 2, 2, 10, 1, 6, 6, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 6, 10, 2, 1, 2, 6, 1, 2, 10, 6, 6, 6, 10, 2, 2, 2, 2, 10, 2, 6, 1, 2, 2, 6, 2, 2, 10, 1, 6, 10, 1, 6, 1, 1, 1, 10, 0, 6, 10, 1, 6, 2, 1, 6, 6, 2, 2, 10, 6, 10, 6, 1, 1, 6, 1, 6, 1, 1, 2, 10, 6, 6, 10, 2, 10, 1, 2, 1, 10, 1, 10, 6, 6, 10, 6, 1, 6, 10, 10, 2, 1, 6, 10, 1, 1, 10, 2, 1, 2, 1, 6, 6, 2, 6, 2, 6, 6, 6, 1, 6, 6, 6, 6, 10, 1, 6, 10, 2, 2, 1, 6, 6, 6, 10, 2, 6, 6, 10, 6, 1, 10, 1, 5, 1, 6, 10, 6, 1, 10, 10, 2, 10, 10, 6, 10, 1, 6, 6, 6, 1, 1, 1, 2, 2, 6, 6, 2, 6, 1, 2, 2, 1, 10, 10, 2, 2, 10, 1, 10, 10, 2, 10, 1, 10, 4, 10, 6, 6, 1, 10, 2, 2, 1, 10, 10, 5, 6, 1, 2, 6, 2, 1, 1, 10, 10, 2, 6, 10, 6, 2, 10, 10, 10, 2, 6, 10, 1, 1, 2, 6, 10, 6, 10, 6, 6, 6, 1, 6, 1, 10, 10, 2, 10, 6, 10, 1, 6, 2, 6, 1, 6, 6, 10, 6, 2, 2, 10, 1, 10, 1, 2, 1, 1, 6, 6, 2, 10, 2, 2, 10, 10, 6, 1, 6, 10, 1, 10, 2, 10, 6, 2, 1, 6, 2, 10, 10, 1, 6, 2, 6, 1, 1, 40, 6, 1, 6, 2, 1, 2, 6, 1, 1, 9, 10, 2, 1, 6, 2, 9, 1, 6, 2, 1, 1, 2, 10, 6, 10, 1, 2, 2, 1, 10, 1, 9, 8, 2, 6, 1, 1, 2, 6, 1, 1, 10, 2, 2, 2, 1, 6, 1, 4, 6, 1, 2, 1, 6, 1, 6, 10, 2, 10, 6, 2, 10, 10, 6, 6, 10, 2, 6, 5, 2, 10, 10, 6, 10, 10, 2, 10, 1, 6, 1, 4, 10, 2, 6, 2, 1, 2, 10, 10, 6, 6, 2, 2, 6, 6, 6, 5, 4, 6, 6, 10, 6, 10, 1, 2, 2, 4, 6, 2, 1, 2, 1, 10, 6, 1, 1, 6, 1, 1, 10, 2, 1, 6, 10, 6, 2, 2, 10, 6, 10, 6, 6, 1, 6, 1, 6, 6, 6, 10, 10, 1, 2, 6, 6, 2, 6, 10, 6, 6, 10, 1, 2, 2, 2, 2, 10, 1, 2, 2, 1, 6, 2, 2, 2, 2, 6, 1, 6, 2, 6, 6, 10, 1, 10, 6, 6, 10, 6, 6, 2, 1, 1, 1, 6, 6, 10, 10, 1, 10, 1, 2, 1, 6, 10, 1, 2, 6, 2, 10, 2, 1, 2, 10, 10, 6, 5, 6, 2, 2, 1, 2, 10, 4, 6, 2, 6, 10, 2, 2, 2, 1, 10, 10, 6, 6, 2, 10, 10, 6, 6, 1, 2, 10, 10, 2, 2, 1, 1, 1, 10, 6, 2, 10, 10, 2, 1, 2, 6, 2, 2, 6, 2, 1, 6, 6, 2, 1, 6, 6, 0, 10, 10, 4, 10, 10, 6, 10, 6, 2, 2, 10, 2, 6, 6, 6, 1, 1, 6, 2, 10, 1, 1, 10, 6, 2, 10, 6, 10, 1, 2, 10, 1, 0, 6, 10, 10, 2, 1, 2, 10, 10, 2, 6, 1, 6, 2, 10, 10, 1, 2, 6, 2, 6, 6, 1, 6, 10, 10, 2, 2, 2, 6, 1, 6, 6, 10, 10, 2, 2, 2, 1, 2, 10, 1, 1, 10, 1, 1, 10, 1, 10, 6, 10, 6, 6, 2, 10, 10, 1, 2, 2, 2, 10, 6, 1, 6, 10, 2, 1, 9, 1, 10, 10, 2, 6, 6, 2, 1, 10, 6, 6, 6, 1, 10, 2, 6, 2, 10, 10, 1, 6, 6, 1, 2, 2, 6, 1, 6, 2, 2, 9, 1, 6, 1, 1, 4, 6, 2, 10, 2, 1, 2, 1, 1, 1, 2, 6, 0, 6, 6, 2, 1, 10, 6, 6, 2, 1, 10, 10, 10, 6, 10, 6, 9, 6, 10, 6, 1, 10, 10, 1, 2, 1, 6, 6, 2, 2, 1, 1, 4, 6, 10, 6, 1, 1, 1, 10, 1, 6, 6, 1, 10, 6, 10, 2, 2, 1, 6, 1, 2, 10, 1, 2, 6, 6, 2, 6, 1, 1, 1, 1, 6, 1, 6, 1, 2, 1, 6, 10, 2, 2, 10, 2, 6, 6, 2, 9, 2, 6, 2, 2, 6, 1, 6, 10, 6, 2, 2, 10, 6, 6, 2, 10, 10, 6, 1, 2, 2, 2, 6, 2, 1, 2, 1, 10, 10, 6, 6, 10, 2, 1, 10, 2, 1, 1, 10, 10, 6, 10, 10, 6, 10, 6, 2, 6, 1, 2, 6, 10, 4, 6, 10, 2, 10, 10, 1, 2, 6, 2, 10, 1, 1, 10, 1, 1, 6, 1, 1, 10, 6, 2, 6, 2, 2, 1, 10, 10, 1, 2, 1, 6, 2, 6, 6, 6, 6, 1, 6, 10, 6, 6, 10, 9, 2, 6, 6, 1, 2, 2, 6, 1, 10, 2, 2, 1, 6, 1, 1, 6, 1, 10, 1, 2, 1, 6, 1, 1, 2, 10, 10, 6, 1, 6, 1, 2, 6, 1, 6, 1, 6, 6, 6, 6, 2, 6, 2, 1, 4, 2, 2, 6, 1, 2, 1, 10, 6, 10, 10, 6, 2, 9, 6, 10, 10, 1, 10, 1, 10, 1, 10, 1, 10, 2, 1, 10, 2, 1, 10, 2, 6, 6, 1, 10, 10, 10, 6, 10, 2, 2, 1, 10, 6, 1, 6, 1, 2, 6, 6, 2, 5, 1, 10, 1, 10, 6, 10, 5, 2, 1, 9, 10, 2, 10, 6, 10, 1, 10, 1, 2, 2, 10, 6, 1, 1, 6, 6, 1, 6, 1, 10, 6, 1, 6, 2, 4, 6, 2, 10, 1, 1, 1, 2, 1, 10, 10, 1, 10, 6, 2, 1, 1, 1, 6, 6, 2, 1, 10, 1, 1, 6, 6, 1, 10, 10, 1, 1, 10, 2, 2, 1, 1, 2, 10, 10, 2, 2, 2, 6, 10, 10, 10, 10, 9, 1, 2, 9, 6, 6, 10, 2, 2, 0, 0, 10, 2, 6, 2, 5, 2, 2, 1, 10, 2, 10, 2, 6, 6, 10, 1, 2, 1, 10, 6, 1, 2, 1, 10, 2, 10, 1, 10, 10, 6, 6, 1, 1, 6, 1, 2, 1, 2, 1, 10, 10, 6, 10, 10, 2, 10, 10, 10, 1, 2, 4, 6, 10, 2, 6, 2, 2, 2, 6, 2, 2, 2, 1, 2, 2, 5, 2, 6, 2, 1, 1, 40, 10, 6, 6, 6, 1, 6, 1, 6, 6, 2, 0, 10, 1, 10, 1, 6, 2, 6, 1, 6, 10, 1, 6, 6, 2, 10, 6, 6, 10, 1, 10, 2, 1, 1, 6, 6, 2, 1, 6, 1, 1, 1, 1, 10, 1, 1, 6, 9, 1, 6, 1, 6, 6, 1, 1, 10, 1, 1, 2, 2, 4, 10, 2, 2, 2, 2, 2, 6, 2, 2, 5, 1, 2, 10, 1, 6, 2, 2, 1, 10, 1, 6, 6, 2, 10, 0, 1, 1, 2, 6, 2, 10, 6, 1, 2, 6, 1, 10, 6, 1, 6, 10, 2, 2, 10, 2, 2, 2, 2, 10, 10, 6, 1, 10, 10, 1, 10, 2, 6, 10, 10, 1, 2, 1, 2, 1, 10, 6, 10, 10, 1, 2, 10, 1, 10, 1, 1, 10, 1, 10, 6, 1, 6, 6, 6, 10, 6, 2, 1, 10, 1, 2, 1, 6, 6, 1, 1, 10, 2, 2, 2, 6, 2, 10, 10, 6, 10, 6, 10, 6, 10, 10, 6, 6, 2, 10, 10, 6, 10, 10, 2, 2, 2, 10, 2, 2, 1, 1, 2, 10, 2, 6, 2, 10, 10, 1, 1, 10, 10, 2, 2, 6, 2, 6, 6, 1, 10, 2, 2, 6, 1, 1, 1, 2, 1, 1, 1, 1, 2, 10, 1, 1, 10, 10, 6, 1, 2, 6, 1, 6, 10, 6, 10, 6, 1, 2, 6, 1, 4, 50, 1, 1, 6, 10, 10, 10, 2, 1, 10, 10, 6, 1, 2, 6, 10, 6, 1, 2, 2, 2, 2, 10, 10, 10, 2, 6, 1, 6, 2, 10, 6, 10, 2, 6, 1, 10, 10, 2, 9, 2, 1, 1, 10, 10, 2, 2, 5, 6, 2, 6, 1, 10, 2, 2, 6, 6, 10, 10, 6, 1, 2, 1, 10, 6, 10, 2, 6, 10, 10, 6, 6, 10, 2, 2, 1, 1, 10, 10, 6, 1, 2, 1, 10, 6, 2, 5, 10, 1, 1, 1, 2, 6, 6, 6, 0, 6, 1, 2, 1, 6, 1, 2, 1, 10, 2, 1, 1, 1, 6, 9, 10, 1, 1, 2, 1, 2, 6, 6, 1, 2, 1, 2, 10, 6, 10, 1, 10, 1, 2, 1, 2, 10, 10, 6, 6, 6, 10, 6, 6, 1, 2, 10, 6, 1, 6, 10, 1, 1, 10, 1, 6, 6, 6, 2, 10, 6, 1, 6, 1, 10, 1, 1, 1, 2, 10, 10, 1, 6, 10, 10, 2, 2, 10, 6, 1, 2, 2, 6, 10, 1, 2, 10, 1, 6, 10, 10, 6, 1, 2, 1, 2, 10, 2, 6, 10, 2, 1, 10, 10, 10, 6, 1, 6, 1, 6, 10, 2, 1, 10, 1, 2, 1, 10, 2, 2, 1, 10, 1, 1, 2, 6, 6, 6, 6, 10, 2, 2, 6, 10, 6, 1, 2, 10, 10, 2, 6, 10, 9, 10, 2, 1, 10, 6, 10, 2, 1, 10, 10, 10, 10, 1, 1, 6, 1, 4, 6, 6, 2, 2, 10, 10, 2, 1, 2, 1, 2, 10, 1, 1, 6, 1, 10, 1, 6, 10, 10, 10, 1, 10, 1, 6, 1, 2, 1, 6, 6, 2, 1, 10, 10, 2, 6, 2, 1, 1, 2, 1, 10, 2, 2, 10, 10, 10, 1, 10, 10, 6, 6, 2, 6, 1, 10, 1, 6, 1, 2, 6, 1, 6, 2, 10, 6, 2, 6, 2, 1, 6, 2, 2, 4, 2, 2, 2, 6, 2, 10, 2, 6, 2, 6, 2, 1, 10, 6, 2, 6, 2, 10, 0, 2, 2, 10, 6, 1, 2, 6, 1, 1, 2, 2, 10, 1, 10, 10, 1, 1, 10, 2, 2, 1, 1, 2, 2, 1, 6, 1, 1, 6, 2, 1, 6, 4, 6, 1, 6, 2, 2, 2, 6, 1, 10, 6, 1, 2, 6, 6, 1, 10, 6, 0, 6, 2, 10, 6, 10, 2, 6, 6, 10, 6, 6, 2, 10, 1, 2, 6, 10, 1, 1, 2, 2, 6, 6, 6, 6, 1, 2, 2, 6, 1, 10, 1, 1, 1, 6, 1, 6, 6, 1, 1, 2, 1, 1, 1, 1, 1, 1, 6, 2, 1, 6, 10, 6, 1, 1, 10, 2, 6, 6, 0, 6, 2, 1, 1, 10, 1, 1, 6, 6, 6, 10, 1, 1, 6, 10, 6, 1, 1, 1, 2, 6, 2, 6, 1, 10, 10, 0, 10, 10, 10, 10, 10, 1, 10, 10, 1, 2, 2, 2, 1, 6, 10, 6, 2, 2, 1, 1, 6, 2, 2, 1, 6, 2, 6, 10, 2, 10, 6, 10, 1, 1, 10, 1, 6, 1, 1, 1, 10, 1, 1, 1, 6, 2, 10, 10, 6, 1, 2, 10, 2, 6, 2, 0, 2, 2, 1, 6, 6, 2, 1, 1, 10, 1, 6, 9, 0, 2, 10, 2, 6, 6, 6, 2, 2, 1, 10, 10, 2, 1, 6, 2, 2, 6, 6, 2, 2, 10, 6, 1, 6, 6, 6, 2, 6, 5, 6, 10, 10, 2, 2, 6, 6, 10, 6, 6, 0, 1, 1, 6, 6, 6, 2, 2, 6, 6, 6, 2, 2, 5, 10, 1, 2, 2, 10, 2, 10, 6, 2, 0, 6, 1, 10, 2, 2, 1, 2, 10, 0, 1, 6, 6, 2, 1, 2, 6, 10, 1, 2, 10, 10, 2, 2, 6, 6, 10, 2, 2, 1, 2, 6, 2, 2, 10, 6, 10, 6, 10, 6, 10, 10, 10, 6, 10, 2, 10, 4, 6, 4, 1, 2, 10, 10, 6, 2, 10, 2, 1, 10, 6, 2, 2, 1, 10, 6, 2, 2, 2, 10, 6, 2, 10, 2, 6, 1, 6, 2, 2, 6, 2, 6, 10, 10, 1, 1, 2, 6, 10, 1, 10, 10, 1, 1, 6, 1, 6, 6, 6, 2, 2, 1, 2, 2, 1, 5, 6, 1, 2, 1, 6, 6, 2, 10, 1, 6, 2, 2, 2, 1, 6, 1, 10, 6, 6, 10, 6, 2, 2, 2, 2, 10, 6, 2, 1, 6, 1, 6, 6, 6, 5, 2, 1, 1, 6, 2, 1, 4, 1, 1, 1, 6, 2, 10, 2, 1, 1, 2, 2, 10, 6, 6, 6, 6, 1, 10, 1, 6, 10, 2, 10, 10, 6, 10, 10, 6, 2, 6, 2, 6, 6, 6, 6, 10, 2, 6, 6, 2, 2, 2, 10, 6, 2, 1, 6, 6, 6, 6, 60, 1, 10, 10, 9, 6, 2, 6, 10, 6, 6, 2, 10, 6, 1, 1, 2, 6, 10, 10, 1, 2, 10, 6, 1, 10, 6, 10, 6, 6, 10, 1, 6, 1, 1, 1, 6, 6, 6, 1, 6, 1, 1, 10, 10, 10, 6, 1, 1, 1, 6, 6, 10, 10, 1, 10, 1, 1, 9, 10, 1, 10, 2, 10, 6, 10, 2, 10, 10, 6, 6, 2, 2, 10, 10, 10, 6, 2, 2, 6, 1, 1, 2, 2, 10, 6, 10, 2, 1, 6, 10, 2, 1, 10, 6, 10, 6, 1, 6, 2, 2, 1, 1, 2, 10, 4, 1, 2, 6, 6, 10, 2, 6, 2, 10, 6, 2, 10, 50, 10, 6, 2, 6, 6, 1, 2, 6, 10, 6, 6, 6, 2, 5, 1, 0, 2, 10, 2, 2, 9, 6, 1, 6, 2, 6, 2, 10, 2, 2, 6, 6, 6, 6, 6, 10, 1, 2, 6, 10, 1, 2, 2, 6, 2, 2, 10, 6, 1, 2, 1, 6, 10, 1, 1, 1, 1, 2, 5, 2, 6, 1, 1, 1, 2, 2, 2, 1, 10, 6, 1, 2, 10, 10, 1, 2, 1, 6, 1, 1, 1, 6, 10, 2, 10, 6, 2, 2, 6, 1, 2, 1, 10, 1, 6, 10, 10, 6, 10, 10, 2, 1, 6, 2, 1, 6, 2, 0, 1, 6, 6, 6, 2, 2, 2, 0, 1, 1, 6, 1, 2, 10, 10, 10, 2, 4, 6, 6, 6, 10, 1, 6, 1, 6, 6, 2, 6, 10, 6, 2, 1, 2, 2, 1, 4, 6, 10, 10, 2, 6, 10, 4, 2, 2, 2, 10, 1, 1, 1, 2, 10, 1, 10, 10, 1, 2, 10, 1, 2, 2, 1, 2, 6, 1, 1, 1, 10, 6, 1, 10, 6, 6, 10, 6, 2, 1, 1, 10, 2, 10, 2, 0, 2, 1, 2, 1, 1, 2, 6, 10, 1, 2, 1, 1, 6, 10, 0, 1, 2, 2, 1, 1, 1, 2, 1, 10, 2, 2, 2, 10, 1, 2, 6, 6, 1, 2, 6, 1, 1, 10, 2, 10, 1, 2, 6, 1, 6, 2, 2, 1, 1, 2, 10, 10, 10, 6, 6, 2, 6, 6, 1, 1, 2, 10, 2, 6, 6, 1, 4, 10, 2, 10, 6, 10, 6, 10, 6, 10, 10, 1, 2, 2, 10, 1, 2, 10, 6, 10, 6, 1, 6, 2, 10, 6, 0, 1, 1, 2, 2, 6, 2, 1, 6, 2, 2, 1, 4, 10, 2, 10, 1, 6, 9, 2, 10, 10, 2, 1, 10, 6, 10, 1, 1, 2, 2, 0, 6, 10, 2, 10, 1, 10, 2, 2, 10, 6, 2, 2, 10, 10, 10, 2, 6, 1, 10, 6, 6, 10, 6, 2, 10, 6, 1, 2, 6, 6, 6, 10, 6, 1, 6, 2, 6, 1, 2, 10, 10, 0, 1, 9, 1, 10, 6, 10, 2, 1, 10, 2, 10, 1, 1, 10, 1, 6, 6, 6, 10, 10, 6, 2, 1, 10, 6, 2, 6, 10, 2, 2, 6, 6, 2, 4, 10, 1, 6, 6, 1, 2, 2, 10, 6, 2, 1, 1, 2, 1, 6, 10, 6, 1, 6, 1, 10, 4, 2, 1, 2, 2, 2, 10, 2, 2, 6, 10, 2, 10, 6, 10, 6, 2, 10, 10, 10, 2, 10, 10, 1, 2, 2, 6, 6, 1, 10, 6, 10, 1, 6, 2, 1, 1, 2, 2, 8, 6, 10, 1, 10, 2, 2, 2, 1, 2, 1, 0, 10, 1, 1, 6, 10, 2, 2, 6, 1, 6, 2, 2, 10, 1, 1, 10, 2, 1, 6, 10, 2, 10, 10, 10, 2, 2, 6, 2, 2, 10, 2, 10, 6, 6, 10, 10, 2, 1, 6, 6, 2, 1, 10, 1, 2, 10, 1, 1, 2, 2, 6, 6, 2, 10, 0, 1, 10, 2, 4, 0, 10, 2, 10, 1, 6, 10, 1, 6, 10, 1, 2, 10, 1, 1, 2, 10, 10, 10, 9, 9, 10, 1, 2, 2, 6, 10, 10, 1, 2, 10, 2, 2, 10, 10, 1, 1, 10, 10, 2, 10, 1, 10, 2, 2, 9, 6, 2, 6, 2, 6, 10, 10, 2, 2, 1, 1, 10, 6, 2, 10, 2, 2, 2, 2, 2, 2, 6, 6, 6, 10, 6, 2, 2, 6, 1, 6, 6, 1, 2, 1, 1, 10, 10, 6, 10, 10, 10, 10, 1, 2, 6, 1, 6, 2, 10, 2, 2, 10, 6, 2, 1, 10, 2, 10, 10, 1, 6, 10, 5, 10, 1, 2, 1, 2, 2, 6, 10, 10, 1, 1, 1, 1, 1, 10, 10, 10, 1, 2, 6, 10, 9, 2, 10, 6, 50, 5, 10, 2, 2, 1, 2, 2, 6, 1, 1, 10, 10, 10, 10, 6, 10, 10, 1, 2, 1, 10, 1, 2, 6, 1, 10, 2, 2, 10, 10, 10, 1, 1, 10, 2, 6, 6, 10, 1, 2, 6, 1, 1, 6, 10, 10, 10, 6, 1, 3, 6, 2, 6, 10, 1, 10, 10, 1, 2, 1, 6, 10, 6, 10, 2, 6, 1, 2, 1, 10, 10, 1, 2, 6, 10, 6, 1, 10, 6, 10, 2, 1, 2, 10, 0, 1, 2, 6, 2, 6, 1, 10, 6, 9, 2, 2, 2, 10, 6, 6, 1, 1, 6, 2, 10, 2, 2, 2, 6, 10, 2, 1, 2, 6, 1, 2, 6, 2, 6, 2, 6, 2, 6, 10, 1, 2, 2, 6, 6, 1, 6, 1, 10, 2, 6, 1, 6, 2, 2, 10, 10, 2, 10, 10, 1, 6, 1, 6, 10, 2, 4, 6, 6, 6, 6, 6, 6, 10, 10, 5, 2, 1, 1, 6, 10, 2, 1, 1, 2, 1, 1, 2, 6, 6, 5, 6, 5, 1, 1, 10, 6, 10, 6, 10, 10, 10, 1, 6, 10, 1, 10, 10, 2, 2, 6, 6, 6, 6, 6, 1, 10, 1, 1, 1, 1, 10, 2, 10, 6, 6, 2, 1, 9, 10, 2, 1, 2, 6, 2, 1, 6, 1, 10, 2, 6, 10, 6, 10, 5, 2, 10, 1, 6, 2, 2, 6, 6, 2, 6, 9, 1, 6, 6, 2, 10, 1, 6, 2, 2, 10, 6, 1, 2, 1, 1, 2, 6, 2, 1, 10, 10, 6, 1, 10, 1, 10, 10, 6, 2, 2, 6, 2, 10, 10, 6, 10, 6, 1, 10, 2, 1, 6, 6, 2, 1, 6, 6, 10, 1, 2, 1, 2, 9, 2, 6, 6, 1, 2, 1, 10, 1, 2, 10, 9, 6, 10, 10, 6, 10, 10, 2, 1, 5, 6, 2, 6, 2, 2, 1, 10, 6, 2, 1, 10, 1, 9, 10, 6, 2, 2, 1, 10, 1, 6, 10, 2, 6, 1, 2, 2, 10, 10, 1, 6, 2, 2, 6, 2, 10, 10, 10, 4, 1, 2, 10, 2, 2, 6, 2, 1, 6, 1, 1, 1, 4, 10, 5, 1, 1, 1, 1, 1, 6, 10, 2, 6, 10, 2, 6, 1, 1, 1, 1, 1, 2, 10, 2, 6, 1, 6, 2, 10, 2, 6, 2, 10, 10, 10, 1, 6, 10, 2, 1, 2, 0, 1, 6, 2, 10, 5, 1, 6, 10, 2, 2, 10, 4, 10, 10, 6, 6, 2, 2, 2, 6, 10, 2, 10, 10, 10, 6, 2, 2, 2, 2, 2, 10, 6, 2, 1, 6, 6, 1, 1, 6, 10, 2, 10, 2, 2, 1, 6, 6, 2, 6, 2, 10, 10, 6, 10, 1, 2, 1, 1, 6, 2, 10, 6, 10, 6, 1, 6, 60, 10, 2, 1, 6, 10, 10, 2, 10, 2, 1, 2, 2, 2, 10, 6, 10, 2, 6, 1, 2, 10, 2, 10, 2, 10, 2, 10, 1, 10, 6, 6, 1, 1, 2, 6, 1, 1, 10, 10, 2, 0, 1, 2, 2, 6, 6, 6, 6, 6, 1, 1, 10, 6, 10, 10, 1, 9, 6, 6, 6, 6, 10, 6, 1, 4, 2, 6, 10, 2, 1, 10, 6, 2, 6, 9, 2, 10, 2, 10, 1, 2, 1, 1, 2, 10, 2, 10, 2, 1, 1, 10, 10, 1, 5, 6, 2, 1, 6, 1, 10, 1, 1, 2, 6, 2, 10, 10, 1, 1, 10, 10, 1, 6, 1, 1, 1, 2, 6, 2, 1, 2, 1, 10, 1, 2, 10, 2, 10, 2, 6, 1, 2, 1, 2, 1, 2, 6, 2, 10, 10, 2, 10, 10, 1, 2, 6, 10, 10, 1, 2, 6, 6, 1, 1, 2, 6, 1, 1, 6, 2, 6, 10, 6, 6, 10, 6, 10, 10, 2, 6, 10, 1, 10, 10, 2, 1, 10, 10, 1, 6, 1, 1, 1, 10, 2, 6, 10, 1, 1, 6, 6, 10, 2, 1, 10, 10, 1, 6, 6, 1, 10, 1, 6, 10, 1, 1, 6, 6, 6, 10, 6, 6, 6, 6, 10, 6, 1, 10, 0, 10, 2, 2, 1, 10, 2, 6, 2, 10, 1, 10, 2, 10, 2, 10, 10, 10, 6, 10, 2, 1, 6, 6, 10, 1, 2, 10, 10, 6, 2, 0, 6, 2, 6, 6, 2, 2, 6, 10, 1, 1, 2, 2, 10, 6, 2, 1, 2, 2, 1, 6, 1, 6, 6, 1, 10, 6, 2, 6, 6, 10, 2, 10, 2, 1, 1, 2, 10, 6, 10, 6, 6, 1, 1, 2, 10, 10, 2, 2, 10, 1, 9, 6, 6, 6, 10, 1, 1, 0, 10, 10, 2, 10, 2, 6, 6, 5, 1, 6, 1, 2, 2, 6, 6, 2, 0, 6, 2, 2, 10, 10, 10, 1, 2, 1, 1, 6, 6, 2, 1, 6, 10, 2, 1, 6, 2, 1, 6, 10, 1, 2, 10, 6, 6, 10, 2, 10, 10, 10, 6, 2, 10, 10, 10, 10, 10, 1, 2, 10, 6, 10, 1, 6, 6, 6, 10, 6, 10, 6, 1, 1, 1, 10, 10, 10, 2, 10, 4, 2, 1, 6, 1, 1, 1, 1, 2, 2, 2, 2, 10, 10, 2, 1, 2, 6, 6, 1, 0, 6, 10, 2, 1, 1, 1, 6, 2, 2, 2, 1, 6, 2, 1, 1, 6, 2, 10, 1, 1, 1, 10, 2, 2, 2, 6, 6, 6, 6, 2, 1, 2, 5, 10, 10, 2, 6, 1, 10, 2, 6, 6, 1, 1, 6, 6, 4, 6, 4, 4, 9, 1, 1, 2, 2, 6, 1, 6, 2, 10, 2, 6, 1, 10, 10, 2, 1, 10, 6, 2, 1, 1, 1, 1, 1, 10, 1, 2, 1, 10, 6, 6, 10, 1, 1, 10, 1, 1, 1, 1, 1, 2, 2, 2, 9, 1, 6, 10, 10, 6, 10, 1, 2, 10, 6, 10, 2, 6, 6, 10, 1, 1, 2, 6, 2, 10, 1, 1, 6, 1, 1, 6, 4, 1, 6, 2, 10, 1, 10, 1, 10, 10, 1, 6, 6, 2, 6, 6, 6, 6, 2, 2, 6, 6, 10, 0, 10, 1, 2, 1, 0, 1, 10, 6, 1, 6, 1, 2, 1, 1, 10, 6, 10, 6, 1, 6, 10, 2, 2, 2, 10, 6, 2, 10, 1, 6, 10, 2, 2, 6, 2, 6, 2, 1, 2, 10, 10, 10, 6, 1, 10, 1, 2, 1, 2, 1, 1, 1, 0, 10, 2, 10, 6, 2, 6, 2, 6, 6, 1, 10, 2, 10, 1, 10, 10, 1, 10, 10, 1, 6, 6, 2, 2, 2, 1, 1, 0, 10, 1, 6, 1, 6, 10, 6, 6, 1, 2, 10, 6, 10, 10, 10, 10, 2, 6, 10, 1, 6, 1, 6, 1, 6, 1, 2, 10, 2, 1, 2, 1, 6, 6, 10, 2, 6, 10, 2, 10, 2, 6, 10, 1, 0, 2, 10, 1, 1, 2, 1, 6, 10, 1, 10, 6, 1, 9, 2, 6, 1, 10, 10, 1, 10, 10, 2, 6, 1, 10, 10, 1, 6, 1, 1, 1, 10, 6, 2, 10, 6, 2, 10, 5, 1, 1, 6, 10, 2, 10, 2, 6, 1, 2, 10, 10, 1, 1, 2, 2, 10, 2, 2, 1, 2, 2, 1, 2, 10, 1, 6, 2, 6, 10, 10, 10, 10, 2, 10, 6, 6, 2, 6, 1, 5, 6, 10, 6, 10, 10, 2, 10, 6, 6, 10, 6, 2, 1, 6, 1, 1, 2, 10, 2, 10, 1, 10, 1, 6, 6, 4, 10, 6, 6, 2, 4, 2, 1, 1, 2, 1, 1, 9, 6, 10, 6, 1, 2, 2, 2, 6, 1, 2, 2, 1, 2, 1, 2, 1, 10, 6, 1, 10, 6, 1, 1, 2, 2, 2, 1, 10, 1, 6, 10, 1, 2, 6, 6, 6, 10, 2, 6, 2, 6, 2, 1, 10, 10, 10, 6, 6, 1, 6, 10, 1, 1, 10, 1, 1, 6, 1, 6, 10, 2, 2, 10, 1, 1, 10, 2, 10, 2, 6, 10, 6, 10, 2, 2, 2, 6, 6, 10, 10, 6, 1, 10, 10, 6, 6, 1, 10, 6, 10, 10, 10, 0, 7, 5, 1, 10, 1, 10, 1, 10, 6, 2, 10, 6, 6, 2, 1, 1, 6, 1, 10, 2, 6, 10, 1, 6, 6, 6, 2, 4, 1, 1, 6, 6, 1, 2, 2, 2, 10, 2, 10, 1, 6, 1, 2, 10, 1, 10, 10, 10, 10, 6, 1, 1, 6, 9, 10, 1, 6, 2, 10, 6, 1, 10, 2, 6, 1, 2, 6, 6, 6, 1, 10, 10, 7, 2, 1, 6, 2, 2, 2, 2, 1, 10, 2, 2, 2, 1, 10, 5, 1, 2, 1, 10, 10, 1, 6, 10, 6, 2, 1, 6, 2, 2, 2, 2, 2, 2, 6, 6, 10, 1, 6, 1, 1, 2, 10, 6, 1, 1, 10, 2, 2, 2, 2, 6, 6, 10, 1, 1, 10, 10, 9, 10, 6, 1, 6, 1, 1, 6, 10, 2, 10, 10, 1, 6, 6, 2, 1, 6, 10, 10, 1, 1, 10, 2, 6, 2, 10, 10, 4, 10, 10, 10, 10, 6, 10, 6, 6, 10, 6, 0, 1, 1, 2, 9, 1, 1, 10, 6, 2, 10, 10, 2, 1, 10, 10, 1, 6, 2, 2, 10, 1, 1, 10, 10, 6, 2, 6, 10, 2, 1, 6, 10, 1, 6, 2, 6, 1, 9, 6, 10, 1, 1, 1, 10, 10, 1, 1, 6, 1, 6, 10, 1, 9, 2, 2, 6, 1, 1, 1, 5, 1, 2, 6, 6, 10, 1, 1, 10, 6, 6, 2, 2, 10, 2, 10, 10, 2, 4, 1, 1, 6, 10, 6, 2, 1, 10, 10, 1, 6, 2, 6, 6, 1, 6, 2, 6, 6, 10, 2, 1, 2, 10, 2, 0, 10, 2, 10, 6, 10, 2, 1, 10, 6, 1, 1, 1, 2, 6, 2, 6, 6, 6, 10, 2, 6, 6, 6, 10, 1, 6, 10, 2, 6, 6, 2, 6, 6, 1, 2, 0, 6, 1, 10, 1, 2, 2, 10, 6, 1, 1, 2, 2, 1, 1, 2, 2, 2, 10, 10, 5, 1, 10, 2, 10, 10, 9, 6, 2, 2, 2, 1, 1, 10, 1, 2, 3, 2, 2, 2, 10, 4, 2, 10, 6, 6, 2, 2, 1, 1, 2, 2, 2, 6, 10, 1, 2, 1, 6, 10, 1, 1, 2, 10, 10, 1, 2, 4, 6, 1, 6, 10, 6, 10, 6, 2, 6, 10, 6, 10, 6, 2, 2, 6, 6, 2, 10, 10, 1, 10, 6, 2, 2, 10, 6, 10, 6, 10, 6, 6, 6, 2, 2, 1, 1, 2, 6, 2, 10, 6, 2, 6, 6, 10, 10, 6, 6, 2, 10, 10, 1, 6, 6, 1, 2, 1, 2, 1, 6, 1, 6, 2, 10, 2, 10, 4, 10, 6, 10, 6, 6, 6, 6, 1, 6, 6, 1, 2, 2, 6, 10, 10, 1, 1, 1, 6, 6, 10, 6, 6, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 6, 2, 10, 2, 6, 1, 1, 1, 6, 10, 0, 10, 6, 6, 2, 2, 1, 4, 10, 10, 1, 10, 2, 1, 2, 2, 2, 10, 6, 10, 2, 1, 10, 2, 2, 6, 2, 1, 10, 2, 10, 1, 10, 1, 10, 6, 1, 1, 10, 10, 2, 6, 6, 10, 10, 10, 10, 10, 10, 0, 2, 6, 10, 2, 2, 10, 6, 6, 2, 10, 1, 10, 1, 2, 1, 1, 6, 1, 6, 2, 10, 6, 10, 1, 6, 1, 1, 1, 1, 1, 6, 2, 1, 10, 2, 10, 1, 10, 1, 1, 2, 10, 10, 10, 2, 1, 6, 2, 6, 6, 2, 6, 6, 1, 6, 2, 6, 10, 2, 6, 6, 2, 1, 10, 6, 6, 6, 1, 10, 6, 6, 10, 10, 10, 2, 1, 1, 6, 10, 1, 2, 2, 6, 1, 10, 2, 10, 10, 10, 6, 10, 2, 6, 4, 5, 6, 6, 10, 6, 10, 10, 10, 10, 10, 1, 6, 2, 10, 2, 10, 6, 10, 6, 6, 10, 40, 6, 6, 6, 2, 1, 6, 1, 1, 6, 10, 2, 6, 1, 2, 6, 0, 10, 6, 2, 10, 2, 10, 6, 1, 4, 2, 6, 2, 6, 1, 2, 10, 1, 9, 6, 2, 1, 6, 40, 10, 6, 10, 10, 1, 6, 2, 2, 1, 9, 2, 10, 6, 2, 1, 1, 6, 1, 6, 2, 6, 1, 2, 6, 10, 10, 2, 2, 1, 6, 2, 4, 1, 2, 1, 6, 10, 1, 1, 6, 4, 1, 2, 1, 1, 10, 4, 1, 6, 10, 1, 10, 1, 10, 1, 2, 2, 10, 2, 10, 1, 6, 6, 6, 1, 2, 1, 10, 1, 10, 2, 2, 6, 2, 1, 6, 1, 6, 2, 2, 1, 1, 6, 6, 2, 2, 6, 2, 1, 1, 1, 10, 1, 1, 1, 2, 1, 10, 1, 6, 2, 2, 2, 2, 10, 2, 1, 6, 1, 6, 9, 10, 10, 6, 10, 10, 10, 1, 1, 1, 10, 1, 2, 1, 6, 1, 6, 2, 2, 6, 6, 1, 1, 6, 6, 10, 6, 2, 1, 2, 1, 10, 2, 10, 10, 2, 1, 0, 6, 1, 10, 6, 2, 1, 2, 5, 1, 1, 6, 2, 1, 6, 6, 10, 6, 2, 10, 6, 6, 2, 6, 2, 2, 2, 10, 10, 1, 1, 1, 10, 10, 10, 10, 6, 10, 2, 6, 5, 2, 2, 2, 1, 10, 1, 10, 2, 1, 10, 6, 10, 2, 6, 10, 6, 1, 2, 6, 10, 6, 10, 10, 10, 1, 2, 10, 10, 6, 2, 2, 10, 6, 6, 6, 10, 1, 6, 2, 1, 6, 2, 10, 10, 1, 6, 10, 1, 2, 10, 10, 10, 1, 6, 10, 1, 1, 0, 6, 2, 10, 10, 2, 10, 2, 10, 6, 6, 1, 9, 2, 2, 2, 6, 1, 1, 6, 1, 1, 1, 2, 1, 6, 2, 6, 3, 6, 2, 2, 1, 1, 10, 6, 6, 6, 6, 2, 6, 6, 10, 2, 10, 10, 6, 2, 1, 10, 10, 2, 10, 2, 2, 6, 1, 1, 6, 6, 1, 1, 1, 2, 6, 6, 6, 1, 1, 2, 6, 1, 1, 2, 2, 6, 10, 10, 1, 6, 10, 10, 6, 2, 2, 1, 1, 6, 6, 10, 9, 6, 2, 6, 6, 6, 4, 2, 10, 10, 10, 2, 2, 10, 2, 1, 2, 6, 6, 2, 6, 6, 6, 1, 1, 2, 9, 1, 6, 1, 2, 5, 2, 1, 2, 10, 2, 2, 1, 6, 2, 2, 2, 1, 6, 10, 10, 6, 2, 1, 1, 1, 6, 1, 2, 6, 10, 1, 1, 2, 10, 10, 6, 6, 10, 1, 1, 1, 10, 9, 6, 10, 6, 2, 10, 10, 6, 1, 1, 1, 1, 6, 6, 2, 1, 1, 2, 6, 1, 1, 10, 1, 2, 2, 1, 6, 1, 1, 6, 1, 10, 1, 10, 1, 1, 6, 6, 6, 2, 10, 2, 10, 6, 2, 1, 2, 1, 2, 6, 6, 1, 6, 10, 2, 2, 1, 1, 1, 1, 6, 2, 10, 10, 6, 6, 2, 6, 10, 1, 1, 40, 2, 2, 10, 6, 6, 10, 2, 1, 6, 10, 10, 1, 1, 6, 1, 1, 1, 6, 6, 2, 6, 10, 6, 10, 2, 2, 1, 10, 2, 6, 6, 10, 2, 1, 1, 6, 6, 10, 2, 4, 1, 6, 1, 6, 2, 2, 1, 6, 2, 10, 9, 2, 6, 1, 10, 6, 2, 10, 1, 1, 2, 1, 1, 10, 2, 2, 6, 6, 0, 6, 2, 2, 2, 1, 5, 6, 2, 2, 1, 6, 7, 1, 2, 1, 6, 2, 1, 6, 6, 1, 2, 1, 6, 10, 1, 1, 10, 1, 2, 2, 2, 10, 1, 2, 6, 1, 1, 10, 1, 10, 6, 10, 6, 6, 10, 6, 6, 10, 1, 6, 10, 1, 1, 10, 6, 2, 6, 2, 2, 2, 1, 1, 2, 10, 2, 2, 6, 1, 10, 1, 1, 2, 2, 6, 2, 0, 1, 10, 2, 2, 6, 6, 2, 1, 10, 10, 2, 6, 6, 2, 1, 2, 2, 6, 2, 2, 6, 1, 1, 10, 4, 2, 2, 1, 1, 6, 6, 2, 6, 6, 10, 6, 10, 10, 6, 2, 1, 10, 2, 2, 6, 2, 6, 10, 1, 1, 6, 2, 10, 1, 6, 1, 1, 2, 10, 10, 2, 2, 1, 10, 10, 2, 6, 10, 1, 0, 1, 2, 1, 1, 1, 10, 2, 6, 1, 1, 10, 10, 1, 10, 10, 2, 2, 2, 2, 1, 1, 2, 4, 6, 2, 2, 2, 5, 6, 2, 10, 1, 6, 2, 1, 2, 1, 6, 6, 1, 2, 2, 2, 1, 2, 10, 2, 1, 10, 1, 6, 0, 6, 10, 10, 6, 1, 6, 2, 10, 1, 1, 10, 2, 6, 1, 6, 1, 10, 0, 10, 6, 2, 1, 6, 10, 6, 10, 6, 1, 6, 1, 6, 6, 10, 10, 6, 1, 6, 10, 6, 6, 1, 6, 0, 6, 6, 1, 6, 1, 2, 10, 1, 1, 2, 10, 6, 2, 1, 1, 2, 6, 10, 6, 10, 2, 6, 1, 2, 10, 1, 6, 6, 0, 6, 6, 1, 2, 2, 1, 2, 2, 1, 10, 10, 2, 2, 6, 6, 2, 10, 2, 1, 10, 1, 10, 6, 1, 4, 10, 2, 10, 10, 10, 6, 2, 1, 2, 10, 10, 1, 10, 2, 6, 1, 10, 6, 6, 10, 2, 10, 1, 10, 10, 10, 2, 1, 1, 9, 10, 10, 10, 6, 1, 6, 6, 6, 1, 10, 6, 10, 10, 2, 1, 10, 6, 6, 9, 2, 1, 2, 2, 10, 2, 5, 5, 1, 6, 6, 2, 2, 2, 6, 6, 1, 10, 2, 10, 2, 10, 2, 6, 1, 1, 2, 1, 10, 2, 10, 2, 1, 6, 10, 2, 2, 10, 10, 6, 1, 1, 2, 10, 1, 10, 2, 2, 6, 6, 6, 6, 6, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 10, 6, 10, 2, 6, 1, 10, 2, 6, 1, 4, 2, 1, 1, 6, 1, 10, 6, 2, 10, 6, 2, 1, 2, 10, 10, 10, 6, 6, 2, 0, 1, 6, 2, 10, 10, 2, 1, 5, 2, 10, 2, 2, 1, 6, 10, 10, 10, 10, 6, 6, 10, 10, 6, 6, 10, 2, 1, 6, 1, 10, 10, 1, 2, 1, 2, 6, 1, 10, 1, 2, 1, 10, 9, 6, 1, 6, 1, 10, 2, 6, 10, 6, 10, 2, 6, 1, 1, 1, 10, 1, 6, 2, 10, 6, 2, 6, 1, 2, 6, 6, 10, 1, 10, 6, 6, 2, 10, 2, 2, 1, 10, 10, 10, 9, 1, 2, 2, 10, 2, 2, 2, 1, 1, 10, 1, 10, 6, 10, 2, 6, 6, 10, 6, 2, 10, 10, 10, 6, 6, 10, 1, 1, 4, 2, 2, 2, 1, 2, 1, 2, 10, 5, 6, 2, 10, 10, 2, 1, 1, 6, 2, 6, 2, 2, 6, 2, 2, 2, 1, 1, 10, 10, 2, 10, 2, 10, 6, 6, 6, 6, 10, 2, 2, 10, 10, 10, 1, 10, 10, 1, 10, 2, 6, 6, 1, 10, 10, 2, 6, 2, 6, 9, 10, 6, 10, 1, 5, 10, 1, 10, 6, 10, 1, 10, 2, 5, 10, 2, 1, 6, 1, 2, 10, 10, 10, 2, 10, 10, 10, 6, 2, 2, 6, 2, 1, 2, 10, 1, 10, 6, 1, 6, 9, 6, 10, 2, 1, 10, 2, 1, 1, 2, 6, 6, 1, 2, 1, 1, 6, 1, 1, 6, 2, 6, 10, 10, 2, 6, 2, 1, 10, 1, 6, 1, 6, 10, 2, 2, 2, 10, 2, 9, 6, 2, 10, 1, 1, 6, 6, 1, 6, 10, 1, 6, 10, 2, 6, 1, 2, 6, 2, 6, 6, 6, 2, 1, 1, 6, 6, 6, 10, 10, 10, 6, 6, 2, 1, 1, 6, 6, 2, 10, 10, 6, 6, 10, 2, 2, 2, 2, 9, 1, 4, 9, 1, 6, 9, 1, 10, 6, 5, 2, 6, 2, 1, 2, 1, 10, 1, 9, 10, 10, 10, 2, 10, 1, 6, 6, 10, 6, 2, 2, 2, 10, 1, 10, 1, 6, 1, 6, 10, 1, 10, 1, 10, 6, 2, 10, 10, 1, 6, 1, 1, 10, 2, 6, 1, 1, 10, 1, 6, 1, 4, 2, 6, 9, 6, 2, 10, 10, 4, 1, 6, 10, 6, 10, 1, 6, 10, 1, 1, 6, 10, 2, 10, 1, 6, 10, 1, 10, 1, 6, 9, 10, 6, 10, 6, 10, 10, 10, 6, 10, 10, 2, 6, 1, 2, 1, 10, 1, 6, 2, 1, 6, 10, 10, 10, 6, 6, 10, 2, 10, 1, 2, 10, 10, 1, 1, 2, 6, 6, 2, 10, 6, 10, 2, 10, 2, 10, 10, 1, 2, 10, 6, 10, 2, 1, 10, 10, 10, 0, 6, 2, 6, 10, 1, 1, 2, 1, 6, 6, 6, 10, 2, 1, 10, 10, 10, 1, 10, 10, 2, 6, 10, 1, 2, 1, 6, 6, 1, 2, 2, 2, 10, 6, 1, 2, 6, 6, 1, 10, 10, 1, 2, 6, 10, 2, 10, 2, 6, 10, 2, 4, 2, 2, 6, 1, 1, 6, 2, 10, 10, 10, 10, 2, 6, 6, 6, 1, 10, 9, 6, 10, 2, 2, 1, 6, 2, 2, 2, 6, 10, 2, 10, 2, 6, 10, 10, 2, 1, 10, 2, 2, 10, 6, 10, 6, 6, 6, 1, 2, 10, 2, 10, 1, 1, 1, 6, 2, 1, 10, 1, 10, 6, 6, 6, 10, 10, 1, 6, 1, 1, 10, 1, 2, 1, 6, 6, 10, 2, 10, 1, 10, 1, 2, 2, 2, 6, 1, 1, 2, 6, 1, 2, 2, 6, 1, 1, 10, 2, 6, 10, 2, 1, 2, 2, 6, 1, 6, 6, 10, 1, 6, 6, 1, 2, 10, 0, 6, 6, 10, 10, 2, 2, 2, 2, 2, 10, 9, 9, 0, 6, 6, 2, 1, 6, 2, 2, 6, 6, 6, 1, 10, 2, 4, 1, 10, 10, 1, 2, 1, 6, 10, 1, 10, 10, 6, 1, 6, 10, 6, 6, 2, 2, 10, 2, 10, 10, 6, 1, 2, 2, 6, 1, 10, 10, 1, 6, 1, 2, 10, 10, 10, 10, 10, 1, 6, 6, 6, 1, 10, 1, 1, 1, 10, 10, 6, 1, 1, 6, 1, 1, 9, 10, 10, 6, 2, 1, 6, 6, 60, 6, 1, 2, 1, 6, 6, 1, 6, 1, 6, 6, 6, 1, 6, 10, 1, 2, 10, 10, 6, 2, 6, 10, 1, 1, 10, 1, 2, 6, 6, 6, 1, 10, 2, 1, 2, 2, 4, 10, 10, 2, 1, 1, 10, 1, 10, 4, 6, 0, 1, 6, 1, 6, 1, 10, 2, 10, 2, 6, 10, 2, 2, 2, 1, 2, 6, 2, 0, 2, 10, 6, 2, 1, 6, 10, 2, 10, 1, 2, 10, 6, 10, 1, 2, 6, 1, 10, 10, 1, 2, 1, 2, 1, 10, 10, 6, 1, 1, 1, 10, 10, 10, 6, 1, 2, 10, 2, 10, 10, 6, 6, 6, 10, 6, 2, 1, 10, 2, 2, 10, 1, 10, 1, 1, 1, 2, 0, 1, 1, 6, 6, 2, 10, 10, 1, 10, 6, 1, 6, 1, 2, 10, 10, 1, 10, 10, 2, 6, 1, 1, 10, 6, 1, 10, 10, 2, 1, 10, 1, 6, 10, 6, 6, 1, 1, 1, 6, 1, 2, 10, 6, 1, 6, 1, 10, 1, 1, 1, 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2, 2, 6, 1, 10, 2, 5, 1, 2, 1, 2, 2, 2, 10, 2, 6, 2, 1, 10, 10, 10, 1, 10, 6, 1, 1, 2, 6, 10, 10, 1, 2, 1, 6, 10, 2, 10, 6, 6, 6, 10, 1, 10, 1, 10, 10, 2, 10, 1, 1, 2, 6, 1, 2, 1, 1, 10, 10, 2, 2, 1, 2, 1, 2, 6, 10, 6, 6, 10, 2, 9, 6, 6, 2, 1, 10, 1, 6, 6, 1, 10, 10, 6, 1, 1, 1, 10, 2, 2, 2, 1, 6, 1, 1, 10, 2, 1, 1, 1, 6, 6, 10, 6, 6, 6, 10, 10, 6, 1, 10, 1, 1, 10, 6, 1, 6, 1, 10, 6, 6, 6, 6, 1, 10, 6, 2, 1, 10, 6, 6, 10, 6, 6, 1, 10, 2, 6, 6, 2, 10, 2, 2, 6, 2, 1, 2, 10, 2, 1, 6, 5, 6, 6, 2, 2, 2, 10, 6, 1, 2, 1, 2, 2, 1, 2, 6, 2, 2, 10, 2, 10, 6, 2, 1, 1, 1, 2, 6, 10, 2, 1, 10, 1, 10, 10, 2, 6, 6, 10, 10, 1, 2, 10, 2, 2, 2, 10, 6, 2, 10, 6, 5, 6, 10, 0, 1, 2, 1, 1, 0, 6, 1, 1, 0, 5, 2, 1, 9, 2, 1, 10, 1, 6, 10, 10, 2, 1, 6, 10, 6, 2, 1, 10, 1, 1, 6, 6, 1, 6, 6, 1, 2, 6, 1, 2, 1, 2, 1, 10, 10, 6, 10, 1, 6, 1, 6, 10, 1, 6, 1, 1, 1, 2, 6, 10, 2, 10, 2, 9, 5, 1, 10, 6, 1, 6, 10, 2, 2, 1, 2, 1, 6, 2, 10, 6, 2, 1, 6, 1, 2, 6, 6, 2, 1, 6, 6, 1, 10, 10, 2, 6, 6, 10, 10, 6, 60, 2, 10, 10, 0, 5, 10, 10, 10, 10, 10, 2, 9, 1, 6, 6, 2, 6, 1, 1, 2, 1, 10, 1, 2, 1, 1, 1, 1, 10, 1, 6, 10, 6, 1, 6, 6, 10, 10, 1, 1, 10, 6, 10, 6, 10, 2, 2, 6, 1, 1, 1, 1, 2, 10, 1, 1, 10, 6, 2, 1, 10, 10, 2, 6, 2, 1, 5, 2, 1, 0, 6, 1, 6, 10, 2, 2, 6, 10, 2, 6, 10, 2, 10, 1, 10, 10, 2, 10, 0, 9, 2, 2, 2, 1, 1, 6, 6, 10, 1, 1, 2, 6, 1, 2, 2, 2, 6, 6, 2, 2, 1, 6, 2, 1, 10, 2, 10, 6, 6, 2, 2, 2, 2, 2, 10, 2, 1, 1, 6, 1, 1, 6, 1, 10, 10, 1, 1, 1, 6, 6, 2, 1, 10, 2, 1, 2, 10, 1, 1, 6, 1, 6, 10, 6, 10, 6, 10, 10, 2, 10, 6, 2, 10, 6, 1, 10, 2, 6, 2, 9, 6, 10, 10, 6, 9, 2, 1, 1, 10, 1, 6, 10, 2, 1, 1, 2, 10, 10, 2, 2, 6, 9, 1, 6, 2, 10, 10, 6, 2, 2, 1, 10, 2, 10, 2, 6, 1, 6, 2, 10, 6, 2, 10, 10, 6, 10, 6, 6, 1, 6, 1, 2, 10, 2, 10, 4, 10, 6, 1, 2, 10, 2, 10, 6, 6, 6, 10, 2, 1, 2, 1, 10, 10, 6, 1, 6, 6, 10, 6, 2, 10, 6, 2, 6, 1, 6, 1, 10, 6, 6, 2, 6, 6, 10, 1, 2, 6, 6, 1, 1, 1, 6, 2, 6, 10, 10, 2, 2, 10, 6, 10, 10, 6, 6, 1, 2, 10, 1, 10, 1, 6, 2, 2, 10, 1, 6, 2, 2, 6, 1, 1, 1, 10, 10, 2, 2, 2, 2, 5, 6, 6, 1, 10, 6, 2, 1, 2, 6, 10, 10, 10, 1, 1, 2, 2, 10, 6, 9, 6, 1, 1, 10, 10, 1, 6, 1, 10, 6, 2, 0, 2, 10, 2, 6, 2, 1, 6, 6, 6, 1, 0, 2, 10, 10, 1, 1, 1, 2, 2, 1, 10, 6, 10, 1, 6, 1, 6, 5, 2, 6, 6, 6, 6, 2, 6, 10, 1, 6, 10, 10, 6, 2, 6, 1, 1, 6, 6, 1, 10, 1, 6, 6, 10, 2, 2, 6, 1, 6, 1, 1, 6, 2, 1, 10, 4, 10, 10, 10, 2, 1, 1, 1, 2, 10, 10, 2, 6, 2, 1, 1, 1, 10, 6, 10, 10, 6, 1, 2, 2, 6, 10, 10, 1, 6, 1, 2, 2, 6, 2, 2, 10, 10, 1, 6, 1, 1, 10, 1, 1, 10, 10, 1, 1, 10, 10, 1, 6, 2, 40, 10, 6, 10, 1, 1, 1, 6, 4, 6, 2, 2, 10, 2, 2, 6, 6, 1, 10, 6, 6, 2, 6, 10, 2, 1, 6, 2, 10, 10, 6, 6, 10, 6, 2, 1, 6, 2, 6, 6, 1, 6, 2, 10, 6, 6, 1, 1, 1, 1, 6, 10, 6, 2, 6, 10, 2, 10, 1, 6, 10, 10, 6, 1, 1, 1, 1, 1, 6, 1, 6, 1, 2, 10, 10, 6, 10, 10, 2, 9, 5, 6, 1, 10, 1, 6, 2, 1, 6, 10, 6, 5, 1, 6, 6, 2, 10, 6, 1, 1, 1, 6, 2, 1, 1, 10, 10, 10, 10, 10, 2, 6, 2, 2, 1, 10, 10, 1, 1, 1, 1, 10, 10, 2, 10, 0, 6, 10, 10, 2, 2, 2, 6, 1, 9, 0, 1, 2, 6, 1, 2, 6, 6, 2, 2, 6, 6, 1, 6, 10, 6, 10, 6, 6, 6, 2, 1, 2, 2, 10, 6, 6, 10, 10, 1, 10, 10, 1, 2, 1, 1, 10, 6, 6, 1, 1, 1, 6, 2, 1, 2, 10, 6, 6, 2, 6, 6, 0, 4, 1, 1, 10, 1, 6, 6, 2, 1, 9, 2, 1, 2, 10, 1, 9, 1, 6, 1, 1, 6, 6, 1, 6, 10, 1, 2, 2, 10, 10, 2, 6, 10, 10, 1, 10, 1, 1, 10, 10, 6, 2, 2, 1, 6, 1, 9, 6, 10, 10, 2, 2, 2, 1, 6, 10, 6, 2, 2, 6, 6, 1, 6, 0, 10, 10, 10, 0, 6, 2, 2, 10, 2, 6, 10, 1, 6, 2, 10, 2, 2, 1, 1, 9, 6, 10, 1, 6, 6, 2, 1, 10, 6, 2, 2, 2, 1, 10, 10, 6, 5, 2, 5, 10, 6, 10, 6, 6, 6, 2, 10, 6, 1, 6, 2, 6, 10, 1, 6, 10, 1, 1, 10, 1, 2, 10, 1, 6, 6, 1, 10, 1, 10, 6, 6, 6, 10, 10, 6, 1, 2, 1, 10, 6, 4, 2, 6, 10, 10, 1, 6, 6, 1, 10, 10, 1, 10, 10, 2, 10, 6, 10, 10, 10, 1, 6, 2, 2, 2, 10, 1, 10, 10, 2, 10, 10, 6, 10, 2, 1, 2, 6, 0, 2, 6, 1, 6, 1, 2, 1, 1, 10, 1, 10, 2, 1, 2, 2, 1, 6, 9, 6, 6, 4, 10, 2, 1, 10, 10, 6, 2, 10, 1, 6, 10, 1, 1, 10, 6, 1, 6, 1, 1, 1, 2, 2, 1, 10, 1, 1, 2, 6, 10, 4, 10, 6, 6, 1, 6, 4, 10, 6, 6, 10, 2, 6, 10, 1, 1, 6, 6, 10, 2, 1, 10, 2, 6, 2, 6, 10, 10, 10, 2, 6, 6, 1, 2, 10, 1, 1, 1, 1, 1, 10, 1, 2, 6, 10, 6, 2, 2, 2, 10, 6, 10, 6, 2, 1, 10, 2, 6, 6, 10, 2, 10, 10, 2, 10, 10, 2, 6, 6, 10, 2, 2, 1, 10, 9, 2, 1, 10, 6, 6, 10, 6, 0, 2, 6, 10, 2, 6, 10, 6, 6, 2, 10, 1, 10, 2, 6, 2, 1, 1, 2, 10, 6, 6, 2, 1, 2, 6, 1, 2, 2, 2, 10, 2, 5, 6, 10, 1, 2, 2, 2, 6, 6, 2, 2, 2, 10, 10, 6, 2, 10, 6, 2, 1, 6, 2, 2, 1, 2, 10, 1, 2, 1, 10, 6, 1, 2, 2, 10, 6, 1, 6, 2, 9, 6, 6, 6, 6, 6, 6, 2, 6, 6, 10, 1, 10, 6, 6, 2, 2, 2, 0, 2, 2, 6, 1, 6, 10, 2, 6, 1, 10, 6, 1, 9, 6, 6, 1, 1, 6, 1, 1, 6, 2, 2, 6, 5, 10, 10, 6, 10, 10, 2, 10, 1, 6, 6, 6, 6, 6, 10, 10, 1, 1, 2, 2, 10, 10, 2, 1, 6, 2, 1, 1, 6, 1, 6, 1, 2, 6, 6, 6, 0, 2, 6, 1, 2, 1, 6, 1, 6, 6, 2, 10, 6, 2, 6, 10, 10, 2, 6, 10, 1, 2, 2, 1, 10, 0, 10, 10, 10, 2, 1, 2, 2, 4, 6, 6, 2, 1, 10, 9, 1, 1, 2, 1, 2, 6, 10, 6, 2, 1, 6, 6, 10, 6, 6, 10, 1, 6, 2, 2, 10, 6, 1, 1, 2, 2, 10, 1, 6, 6, 2, 1, 4, 6, 1, 2, 1, 2, 2, 1, 1, 2, 6, 2, 10, 2, 2, 1, 1, 10, 10, 10, 6, 2, 6, 2, 6, 2, 2, 1, 2, 1, 6, 6, 1, 1, 6, 1, 6, 0, 10, 6, 6, 10, 1, 2, 1, 6, 1, 6, 1, 10, 10, 6, 1, 2, 2, 6, 0, 2, 10, 2, 1, 10, 1, 6, 10, 2, 10, 1, 2, 6, 10, 6, 2, 1, 6, 1, 10, 10, 1, 1, 0, 10, 2, 6, 0, 2, 10, 6, 5, 2, 2, 6, 5, 6, 2, 6, 2, 10, 2, 10, 10, 5, 6, 1, 10, 10, 1, 6, 2, 6, 2, 5, 6, 10, 10, 2, 6, 10, 0, 1, 6, 10, 2, 10, 1, 2, 2, 9, 2, 10, 1, 6, 10, 2, 2, 10, 2, 6, 10, 2, 9, 6, 6, 2, 6, 1, 2, 10, 2, 6, 10, 2, 1, 6, 1, 2, 1, 1, 1, 10, 10, 10, 2, 1, 10, 2, 2, 1, 2, 6, 1, 2, 6, 6, 0, 2, 10, 6, 6, 10, 10, 6, 6, 1, 10, 2, 1, 1, 10, 1, 1, 6, 1, 10, 10, 2, 2, 6, 2, 1, 10, 6, 2, 9, 1, 2, 2, 10, 9, 10, 2, 6, 1, 1, 2, 6, 1, 1, 10, 1, 10, 10, 6, 2, 1, 6, 2, 2, 6, 1, 10, 10, 1, 2, 6, 6, 6, 1, 1, 10, 10, 10, 1, 1, 6, 2, 2, 1, 6, 10, 10, 10, 9, 1, 1, 1, 1, 2, 6, 1, 10, 6, 1, 2, 2, 2, 6, 6, 1, 2, 10, 1, 1, 1, 1, 10, 1, 10, 10, 1, 1, 2, 1, 6, 2, 2, 1, 1, 2, 1, 2, 6, 10, 10, 2, 1, 1, 1, 6, 10, 1, 5, 4, 10, 10, 2, 1, 1, 10, 2, 6, 10, 1, 10, 1, 2, 2, 10, 10, 2, 1, 6, 10, 6, 1, 1, 5, 9, 10, 2, 10, 10, 10, 1, 2, 1, 4, 10, 10, 10, 1, 10, 2, 1, 2, 6, 2, 6, 6, 2, 10, 6, 10, 10, 10, 2, 6, 2, 10, 1, 2, 6, 6, 2, 6, 6, 1, 1, 1, 2, 10, 2, 2, 10, 2, 6, 5, 2, 10, 1, 2, 2, 1, 2, 2, 10, 2, 1, 6, 2, 10, 1, 1, 10, 2, 1, 6, 2, 6, 1, 1, 6, 6, 2, 6, 10, 2, 6, 2, 6, 2, 10, 6, 10, 10, 1, 2, 2, 1, 9, 10, 6, 6, 10, 10, 2, 2, 6, 10, 6, 2, 2, 2, 9, 2, 2, 2, 10, 2, 1, 1, 10, 6, 2, 2, 2, 4, 6, 10, 2, 6, 1, 2, 1, 10, 10, 1, 6, 5, 1, 2, 1, 10, 10, 2, 10, 1, 2, 10, 1, 6, 2, 10, 10, 10, 1, 1, 5, 6, 6, 10, 10, 2, 2, 6, 1, 6, 1, 2, 10, 10, 2, 6, 2, 2, 2, 1, 2, 1, 10, 10, 6, 10, 6, 10, 6, 6, 1, 1, 1, 6, 10, 2, 1, 2, 6, 1, 10, 1, 5, 1, 10, 6, 6, 9, 1, 5, 2, 6, 10, 6, 2, 6, 1, 10, 6, 1, 10, 2, 2, 6, 2, 2, 6, 6, 2, 1, 2, 1, 10, 1, 6, 10, 1, 2, 6, 10, 10, 10, 6, 0, 1, 1, 2, 6, 10, 10, 1, 6, 10, 1, 10, 6, 10, 10, 10, 1, 1, 2, 2, 1, 1, 6, 1, 10, 6, 1, 2, 1, 10, 6, 1, 4, 10, 3, 10, 1, 6, 1, 1, 6, 1, 10, 6, 6, 1, 6, 1, 2, 1, 6, 6, 6, 2, 1, 1, 10, 6, 2, 6, 6, 5, 1, 2, 1, 6, 1, 2, 2, 10, 1, 2, 2, 2, 6, 1, 1, 6, 6, 6, 2, 6, 1, 2, 1, 1, 6, 10, 10, 2, 2, 1, 2, 2, 1, 6, 10, 6, 2, 2, 2, 6, 2, 2, 1, 1, 1, 6, 2, 2, 2, 2, 1, 10, 1, 2, 6, 6, 2, 6, 6, 2, 1, 2, 2, 2, 1, 10, 2, 1, 10, 1, 10, 10, 10, 10, 6, 10, 10, 10, 1, 1, 6, 1, 2, 6, 2, 2, 10, 6, 6, 2, 2, 6, 10, 10, 6, 1, 10, 10, 6, 2, 40, 4, 1, 6, 10, 0, 6, 6, 1, 10, 6, 1, 2, 10, 1, 2, 10, 4, 1, 10, 2, 10, 6, 10, 2, 2, 10, 2, 1, 2, 2, 10, 1, 2, 10, 5, 10, 1, 10, 6, 6, 1, 1, 6, 2, 2, 6, 2, 1, 1, 6, 10, 2, 2, 2, 1, 6, 10, 1, 6, 6, 10, 10, 10, 1, 1, 10, 6, 6, 2, 1, 10, 2, 10, 1, 1, 10, 9, 10, 1, 10, 1, 1, 6, 2, 0, 6, 10, 1, 1, 2, 10, 2, 1, 10, 10, 6, 6, 2, 1, 10, 1, 6, 2, 2, 2, 1, 2, 10, 6, 10, 6, 2, 1, 1, 10, 2, 1, 10, 10, 1, 2, 6, 2, 6, 6, 1, 2, 6, 1, 6, 2, 10, 1, 2, 2, 6, 1, 10, 10, 1, 10, 10, 1, 1, 6, 1, 2, 10, 2, 2, 2, 6, 10, 6, 10, 2, 10, 1, 10, 10, 10, 2, 1, 6, 1, 10, 2, 1, 2, 2, 6, 2, 5, 10, 10, 6, 6, 2, 6, 2, 1, 1, 1, 6, 10, 2, 2, 6, 6, 6, 6, 9, 1, 10, 1, 6, 6, 10, 1, 2, 6, 2, 6, 2, 1, 2, 1, 6, 6, 6, 6, 6, 6, 1, 2, 2, 10, 1, 6, 10, 2, 2, 6, 10, 1, 4, 1, 2, 1, 10, 10, 10, 1, 2, 2, 1, 2, 6, 10, 10, 6, 2, 6, 2, 1, 10, 2, 6, 10, 1, 6, 2, 2, 1, 10, 2, 10, 2, 2, 10, 6, 2, 10, 1, 10, 1, 10, 10, 1, 10, 10, 2, 10, 10, 2, 2, 1, 2, 2, 2, 10, 1, 10, 1, 1, 10, 10, 1, 0, 2, 6, 1, 1, 10, 6, 2, 1, 2, 1, 10, 4, 1, 6, 1, 10, 10, 6, 2, 2, 2, 10, 2, 6, 1, 6, 6, 6, 6, 6, 2, 1, 6, 2, 6, 6, 1, 1, 2, 2, 10, 1, 1, 2, 2, 1, 6, 2, 10, 6, 6, 1, 10, 10, 5, 2, 1, 6, 1, 10, 6, 1, 2, 10, 6, 4, 10, 10, 10, 2, 10, 1, 10, 6, 1, 2, 10, 10, 1, 10, 10, 1, 1, 1, 1, 2, 2, 10, 6, 6, 6, 6, 1, 2, 2, 6, 60, 1, 2, 1, 1, 6, 10, 10, 2, 1, 2, 1, 1, 1, 6, 2, 10, 1, 10, 6, 1, 1, 1, 1, 6, 2, 1, 10, 2, 10, 5, 2, 1, 10, 2, 10, 1, 6, 10, 10, 5, 6, 6, 6, 2, 6, 2, 6, 10, 1, 6, 1, 1, 4, 10, 2, 1, 10, 1, 10, 1, 1, 6, 10, 10, 10, 1, 10, 2, 10, 6, 2, 2, 2, 8, 1, 1, 10, 2, 10, 6, 2, 2, 1, 1, 1, 1, 1, 6, 6, 1, 10, 10, 1, 2, 5, 10, 10, 2, 0, 6, 10, 10, 2, 6, 10, 1, 6, 10, 10, 10, 6, 6, 1, 6, 10, 6, 10, 2, 6, 2, 4, 1, 10, 1, 6, 6, 10, 2, 1, 10, 1, 2, 1, 2, 10, 6, 2, 10, 5, 6, 2, 1, 1, 1, 2, 10, 6, 2, 2, 6, 6, 6, 10, 1, 6, 2, 4, 1, 2, 10, 1, 2, 6, 6, 10, 2, 2, 6, 2, 1, 1, 6, 2, 6, 10, 6, 2, 10, 1, 10, 1, 6, 1, 1, 1, 6, 10, 9, 6, 60, 2, 1, 10, 2, 6, 6, 10, 6, 1, 6, 1, 2, 6, 6, 6, 10, 6, 1, 10, 2, 1, 10, 6, 10, 1, 2, 10, 10, 1, 2, 6, 6, 1, 6, 6, 6, 6, 10, 2, 1, 4, 10, 2, 6, 2, 6, 1, 10, 10, 10, 6, 2, 6, 10, 10, 10, 2, 6, 8, 6, 1, 10, 1, 6, 1, 10, 2, 2, 10, 6, 10, 10, 2, 2, 10, 6, 6, 10, 2, 10, 1, 10, 10, 10, 1, 10, 10, 0, 10, 6, 2, 1, 2, 6, 2, 2, 2, 2, 10, 6, 10, 10, 1, 2, 2, 10, 6, 1, 10, 6, 6, 1, 6, 1, 1, 6, 0, 9, 2, 10, 2, 10, 2, 10, 6, 2, 6, 1, 8, 6, 1, 10, 2, 6, 1, 10, 1, 1, 6, 1, 10, 10, 6, 1, 9, 2, 1, 1, 10, 1, 1, 10, 10, 10, 2, 6, 1, 1, 10, 6, 10, 6, 6, 6, 1, 2, 1, 1, 6, 2, 10, 1, 2, 6, 1, 2, 6, 10, 2, 1, 10, 6, 1, 1, 10, 1, 6, 10, 6, 1, 10, 2, 10, 6, 6, 10, 6, 0, 10, 4, 6, 10, 2, 1, 10, 2, 6, 10, 1, 1, 6, 2, 2, 1, 1, 10, 6, 2, 10, 1, 10, 1, 6, 10, 6, 10, 2, 1, 6, 10, 2, 1, 10, 10, 6, 1, 1, 5, 2, 10, 1, 10, 1, 6, 6, 2, 10, 2, 2, 2, 1, 6, 6, 10, 6, 6, 2, 2, 10, 6, 6, 10, 1, 1, 2, 1, 1, 1, 10, 6, 1, 10, 2, 10, 1, 6, 1, 2, 10, 1, 1, 4, 2, 1, 6, 2, 2, 10, 10, 1, 6, 1, 1, 6, 6, 1, 0, 10, 10, 1, 10, 10, 10, 1, 10, 10, 1, 6, 1, 6, 10, 2, 10, 1, 2, 10, 2, 1, 5, 2, 1, 6, 1, 10, 1, 6, 1, 2, 2, 1, 9, 6, 6, 10, 10, 10, 10, 2, 1, 1, 1, 1, 2, 1, 10, 2, 1, 6, 2, 1, 2, 1, 10, 6, 10, 2, 2, 1, 1, 1, 6, 10, 2, 2, 10, 9, 6, 6, 1, 10, 10, 6, 10, 2, 1, 10, 6, 50, 1, 2, 2, 1, 4, 2, 10, 10, 10, 1, 6, 10, 1, 10, 2, 10, 6, 10, 6, 10, 6, 1, 2, 1, 2, 6, 6, 1, 10, 1, 1, 6, 2, 6, 2, 2, 6, 10, 2, 1, 2, 6, 1, 2, 2, 2, 6, 10, 6, 1, 2, 1, 1, 6, 1, 1, 1, 1, 2, 10, 2, 6, 1, 6, 2, 2, 6, 2, 1, 1, 2, 6, 2, 10, 6, 2, 10, 1, 2, 6, 1, 1, 1, 1, 6, 1, 6, 1, 1, 6, 10, 2, 6, 10, 10, 6, 2, 10, 6, 9, 1, 10, 2, 1, 1, 1, 1, 1, 10, 1, 2, 1, 1, 6, 6, 1, 2, 6, 2, 10, 1, 10, 2, 1, 2, 2, 6, 2, 10, 6, 1, 2, 10, 2, 2, 6, 2, 6, 1, 6, 1, 6, 1, 1, 1, 1, 10, 10, 1, 2, 6, 10, 1, 10, 2, 9, 10, 1, 1, 10, 6, 2, 10, 2, 10, 2, 5, 1, 6, 1, 10, 2, 1, 1, 0, 1, 6, 6, 1, 10, 0, 2, 10, 2, 1, 4, 2, 2, 10, 6, 10, 6, 10, 2, 1, 10, 6, 1, 6, 2, 1, 1, 10, 10, 6, 10, 2, 1, 1, 2, 2, 1, 2, 10, 2, 6, 6, 1, 2, 6, 6, 6, 6, 2, 10, 2, 10, 1, 6, 10, 10, 10, 6, 10, 4, 10, 10, 6, 1, 1, 1, 2, 6, 10, 1, 1, 6, 6, 2, 10, 2, 6, 6, 6, 10, 2, 1, 10, 1, 10, 1, 1, 2, 1, 10, 6, 2, 1, 6, 2, 1, 6, 10, 1, 1, 6, 6, 1, 6, 2, 10, 2, 6, 1, 2, 1, 10, 1, 6, 1, 6, 6, 6, 1, 6, 10, 1, 6, 2, 10, 10, 10, 1, 10, 1, 2, 6, 6, 1, 10, 1, 10, 2, 2, 2, 1, 1, 2, 2, 2, 10, 10, 1, 6, 10, 6, 2, 2, 6, 6, 2, 10, 1, 1, 10, 10, 1, 2, 6, 1, 1, 10, 10, 1, 0, 10, 1, 6, 10, 2, 1, 6, 2, 6, 2, 10, 1, 2, 6, 2, 2, 2, 2, 6, 1, 2, 1, 2, 10, 1, 2, 2, 10, 6, 10, 10, 10, 2, 10, 2, 10, 1, 2, 6, 2, 2, 6, 10, 6, 1, 10, 1, 1, 6, 2, 2, 1, 1, 0, 2, 1, 6, 10, 9, 10, 1, 10, 10, 10, 9, 1, 10, 10, 1, 10, 10, 10, 1, 2, 2, 2, 10, 6, 1, 2, 10, 2, 2, 10, 6, 2, 10, 6, 1, 1, 2, 10, 10, 1, 1, 1, 10, 10, 2, 2, 10, 10, 0, 4, 10, 1, 1, 2, 10, 6, 1, 6, 6, 2, 10, 10, 10, 10, 1, 2, 1, 1, 10, 2, 6, 1, 6, 6, 10, 2, 6, 4, 6, 2, 1, 10, 10, 10, 2, 6, 1, 5, 1, 6, 6, 0, 2, 10, 10, 1, 1, 10, 6, 2, 2, 2, 2, 10, 1, 1, 6, 1, 2, 5, 1, 10, 5, 10, 10, 10, 10, 1, 10, 1, 10, 2, 1, 2, 10, 10, 10, 1, 1, 6, 6, 10, 2, 6, 1, 6, 2, 10, 1, 6, 10, 2, 2, 2, 1, 10, 1, 10, 2, 0, 6, 5, 1, 10, 1, 6, 1, 10, 1, 6, 10, 2, 10, 10, 2, 1, 1, 10, 9, 10, 0, 10, 2, 6, 1, 1, 10, 10, 6, 1, 1, 1, 2, 10, 6, 2, 1, 1, 10, 2, 9, 6, 1, 1, 6, 6, 2, 10, 2, 2, 10, 1, 1, 1, 2, 6, 10, 6, 2, 2, 2, 2, 1, 10, 6, 2, 10, 10, 2, 2, 10, 2, 2, 1, 1, 10, 10, 6, 1, 1, 9, 6, 2, 2, 6, 6, 10, 6, 10, 10, 6, 1, 10, 6, 10, 6, 2, 5, 10, 10, 2, 10, 6, 2, 4, 10, 2, 6, 10, 6, 1, 1, 6, 6, 1, 2, 6, 10, 1, 6, 10, 1, 10, 10, 2, 1, 6, 1, 1, 1, 10, 10, 6, 10, 10, 2, 2, 6, 6, 2, 2, 6, 6, 1, 6, 10, 1, 1, 1, 2, 2, 6, 10, 6, 2, 2, 4, 1, 2, 1, 2, 2, 10, 2, 6, 2, 2, 1, 6, 2, 10, 10, 10, 2, 10, 10, 6, 2, 6, 10, 6, 1, 1, 6, 1, 10, 2, 10, 2, 1, 2, 10, 1, 2, 6, 10, 10, 2, 6, 2, 10, 10, 1, 6, 10, 2, 1, 10, 10, 6, 1, 6, 1, 6, 2, 2, 10, 2, 1, 6, 2, 2, 10, 10, 1, 1, 2, 1, 6, 6, 1, 6, 6, 1, 6, 1, 1, 10, 2, 2, 10, 2, 10, 6, 1, 6, 6, 2, 1, 10, 2, 1, 10, 6, 2, 4, 10, 2, 10, 6, 1, 6, 1, 10, 1, 2, 10, 1, 6, 10, 1, 2, 1, 1, 10, 10, 2, 6, 6, 6, 6, 6, 10, 1, 1, 6, 1, 1, 6, 1, 2, 5, 6, 10, 10, 1, 2, 10, 10, 1, 1, 2, 6, 1, 6, 1, 2, 10, 9, 10, 2, 1, 2, 6, 1, 1, 6, 10, 6, 6, 1, 1, 2, 6, 6, 10, 10, 1, 2, 2, 1, 6, 6, 2, 6, 2, 6, 2, 10, 1, 6, 6, 10, 10, 1, 2, 1, 1, 2, 1, 10, 10, 10, 10, 1, 6, 1, 1, 1, 10, 10, 2, 6, 1, 6, 6, 6, 6, 2, 2, 2, 6, 10, 2, 1, 6, 2, 10, 10, 6, 10, 1, 10, 2, 6, 6, 2, 10, 1, 6, 1, 6, 10, 2, 1, 1, 10, 1, 2, 10, 2, 10, 6, 6, 10, 6, 1, 10, 2, 2, 6, 6, 2, 1, 6, 6, 50, 6, 10, 2, 2, 6, 1, 2, 10, 6, 6, 6, 2, 1, 2, 1, 6, 6, 2, 6, 2, 1, 10, 2, 10, 6, 6, 6, 1, 1, 1, 10, 6, 6, 6, 2, 10, 10, 6, 10, 4, 1, 10, 1, 6, 1, 2, 6, 1, 1, 2, 10, 10, 2, 10, 1, 6, 10, 6, 2, 1, 6, 7, 10, 1, 2, 1, 10, 1, 1, 1, 9, 6, 6, 6, 1, 2, 2, 6, 2, 1, 1, 1, 2, 1, 6, 4, 10, 2, 1, 6, 6, 1, 10, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 6, 1, 2, 1, 10, 1, 6, 1, 1, 2, 6, 1, 6, 10, 1, 6, 6, 1, 10, 1, 2, 1, 10, 10, 1, 1, 1, 10, 6, 6, 2, 10, 10, 10, 1, 2, 1, 10, 6, 6, 10, 6, 6, 6, 2, 10, 10, 1, 1, 6, 8, 1, 1, 2, 1, 10, 1, 10, 6, 2, 6, 6, 2, 1, 6, 6, 10, 10, 4, 1, 2, 2, 1, 1, 1, 0, 2, 6, 1, 6, 6, 10, 6, 10, 6, 1, 10, 10, 1, 6, 6, 9, 10, 10, 2, 10, 1, 1, 10, 2, 10, 2, 2, 30, 10, 6, 2, 2, 6, 1, 6, 6, 6, 10, 6, 2, 6, 10, 6, 6, 4, 10, 6, 1, 1, 6, 6, 10, 1, 10, 1, 6, 10, 2, 6, 10, 2, 6, 10, 9, 2, 2, 2, 1, 1, 6, 10, 1, 6, 1, 1, 10, 2, 1, 6, 6, 10, 1, 2, 1, 10, 10, 2, 6, 10, 10, 1, 6, 6, 2, 1, 2, 2, 1, 10, 2, 10, 1, 1, 6, 1, 6, 2, 6, 2, 2, 10, 2, 1, 10, 1, 6, 10, 1, 2, 10, 4, 10, 6, 2, 4, 2, 6, 10, 10, 1, 6, 6, 5, 1, 0, 2, 4, 6, 10, 2, 2, 2, 6, 2, 2, 9, 6, 6, 6, 6, 2, 2, 0, 6, 1, 10, 6, 10, 1, 1, 6, 1, 10, 2, 2, 2, 6, 6, 6, 5, 10, 6, 1, 10, 6, 2, 2, 6, 1, 2, 1, 1, 6, 6, 2, 6, 1, 6, 1, 1, 9, 6, 1, 6, 10, 6, 10, 2, 6, 1, 2, 6, 1, 2, 1, 1, 1, 6, 6, 10, 10, 10, 2, 1, 6, 10, 10, 10, 1, 10, 10, 9, 1, 5, 1, 2, 1, 6, 0, 10, 6, 1, 2, 2, 6, 6, 10, 10, 1, 6, 2, 1, 1, 6, 6, 1, 2, 1, 6, 6, 2, 2, 10, 2, 6, 2, 6, 1, 1, 1, 10, 2, 1, 6, 2, 6, 1, 1, 2, 2, 1, 2, 6, 6, 2, 1, 1, 10, 2, 6, 6, 1, 6, 2, 10, 2, 6, 2, 10, 2, 10, 6, 1, 10, 6, 2, 1, 1, 6, 1, 10, 1, 2, 6, 6, 10, 1, 10, 2, 2, 6, 10, 2, 1, 2, 2, 10, 2, 6, 10, 1, 6, 10, 10, 2, 2, 10, 1, 1, 10, 6, 6, 10, 10, 2, 2, 2, 2, 2, 10, 6, 1, 6, 1, 1, 1, 6, 6, 2, 6, 10, 1, 1, 6, 2, 10, 6, 1, 1, 2, 1, 6, 2, 1, 2, 2, 10, 2, 2, 1, 2, 1, 2, 6, 10, 2, 1, 1, 1, 6, 2, 1, 2, 1, 10, 1, 1, 2, 6, 2, 10, 6, 1, 6, 6, 6, 2, 1, 10, 10, 6, 10, 6, 6, 6, 6, 10, 10, 2, 1, 6, 2, 1, 2, 6, 6, 2, 6, 1, 1, 2, 2, 2, 6, 6, 1, 10, 10, 2, 2, 2, 10, 10, 1, 1, 2, 10, 1, 6, 6, 10, 1, 6, 1, 6, 9, 6, 10, 6, 1, 6, 6, 10, 2, 2, 2, 1, 6, 2, 2, 6, 2, 10, 6, 1, 2, 1, 1, 6, 6, 6, 2, 2, 6, 10, 6, 10, 6, 10, 6, 1, 1, 6, 6, 1, 1, 10, 6, 2, 2, 10, 6, 1, 10, 2, 1, 10, 6, 1, 6, 6, 1, 1, 10, 6, 10, 1, 1, 4, 4, 2, 10, 2, 1, 2, 1, 6, 10, 10, 2, 1, 2, 10, 10, 6, 10, 6, 2, 1, 10, 5, 10, 2, 1, 10, 10, 2, 2, 10, 10, 2, 2, 1, 1, 10, 2, 10, 2, 6, 1, 10, 10, 1, 1, 10, 10, 10, 1, 6, 2, 1, 1, 6, 2, 2, 2, 2, 2, 2, 10, 9, 1, 6, 10, 10, 10, 10, 6, 10, 1, 1, 10, 1, 1, 10, 2, 10, 0, 1, 6, 2, 5, 1, 2, 6, 1, 4, 10, 10, 10, 1, 2, 6, 2, 6, 1, 2, 6, 1, 2, 10, 2, 5, 2, 10, 2, 10, 6, 4, 1, 2, 6, 10, 1, 10, 10, 10, 1, 2, 6, 6, 1, 2, 6, 10, 6, 1, 2, 2, 6, 10, 10, 10, 10, 2, 1, 6, 10, 1, 6, 6, 10, 2, 1, 6, 2, 2, 1, 10, 10, 1, 10, 6, 1, 6, 6, 2, 10, 2, 1, 1, 6, 1, 6, 1, 2, 10, 1, 1, 0, 2, 4, 6, 2, 1, 2, 10, 6, 6, 1, 6, 1, 6, 6, 1, 6, 10, 5, 10, 4, 1, 2, 1, 6, 1, 10, 2, 6, 6, 2, 6, 2, 1, 6, 6, 1, 1, 2, 2, 2, 1, 2, 10, 6, 9, 1, 2, 6, 1, 1, 6, 2, 10, 10, 1, 2, 10, 10, 10, 2, 6, 10, 6, 2, 2, 6, 1, 2, 6, 1, 6, 6, 6, 1, 6, 6, 10, 2, 1, 6, 1, 10, 2, 1, 2, 6, 2, 10, 2, 9, 6, 10, 6, 1, 0, 2, 1, 10, 1, 6, 10, 1, 10, 2, 2, 6, 2, 6, 9, 1, 10, 10, 6, 6, 10, 2, 1, 10, 1, 2, 1, 1, 6, 2, 1, 6, 10, 1, 2, 2, 6, 2, 1, 10, 2, 2, 1, 10, 2, 2, 1, 10, 1, 10, 1, 1, 10, 6, 10, 1, 10, 2, 1, 6, 10, 2, 2, 1, 10, 10, 1, 1, 10, 2, 2, 10, 1, 6, 6, 6, 2, 2, 2, 1, 10, 10, 1, 10, 10, 10, 2, 10, 6, 6, 2, 2, 10, 6, 6, 1, 10, 10, 6, 2, 6, 1, 2, 2, 10, 1, 1, 10, 10, 1, 6, 2, 10, 10, 1, 2, 10, 6, 6, 10, 4, 6, 1, 1, 10, 1, 10, 2, 2, 10, 10, 2, 6, 1, 6, 10, 2, 1, 6, 2, 2, 1, 6, 6, 1, 1, 10, 1, 6, 2, 6, 10, 10, 10, 0, 2, 10, 1, 6, 1, 2, 1, 4, 1, 2, 2, 1, 10, 10, 2, 1, 10, 2, 6, 6, 6, 6, 10, 10, 1, 2, 2, 6, 10, 6, 6, 2, 6, 1, 6, 6, 10, 2, 6, 1, 6, 6, 1, 0, 10, 10, 1, 1, 1, 6, 10, 10, 10, 2, 1, 1, 2, 10, 6, 10, 10, 6, 10, 10, 1, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 2, 10, 6, 1, 10, 2, 2, 6, 2, 2, 2, 6, 2, 10, 2, 6, 6, 6, 1, 2, 1, 6, 9, 6, 2, 1, 10, 1, 1, 2, 10, 6, 6, 6, 5, 10, 1, 2, 6, 1, 10, 10, 2, 6, 1, 1, 10, 1, 1, 6, 6, 1, 6, 10, 10, 10, 10, 10, 6, 6, 2, 2, 2, 2, 6, 1, 2, 10, 6, 10, 10, 2, 10, 10, 1, 2, 6, 2, 2, 10, 2, 1, 6, 2, 1, 10, 10, 6, 2, 1, 10, 10, 2, 10, 1, 10, 6, 10, 1, 1, 2, 10, 2, 6, 2, 1, 2, 1, 1, 2, 2, 6, 2, 2, 2, 6, 1, 2, 6, 6, 10, 6, 6, 2, 6, 6, 1, 10, 6, 10, 10, 10, 10, 1, 6, 1, 10, 10, 10, 10, 1, 10, 1, 6, 6, 4, 6, 10, 1, 10, 6, 10, 1, 6, 6, 6, 10, 10, 6, 6, 1, 1, 6, 2, 10, 10, 1, 2, 10, 2, 6, 6, 1, 1, 2, 6, 9, 10, 2, 6, 2, 6, 1, 6, 1, 10, 1, 2, 2, 2, 2, 1, 2, 9, 1, 10, 6, 1, 1, 6, 10, 2, 1, 6, 6, 10, 2, 10, 6, 1, 6, 2, 1, 1, 2, 1, 1, 6, 6, 2, 1, 6, 1, 10, 2, 1, 6, 5, 6, 10, 6, 6, 1, 1, 1, 6, 1, 2, 2, 10, 2, 2, 2, 2, 2, 2, 10, 6, 1, 6, 1, 10, 1, 10, 1, 6, 1, 2, 6, 2, 2, 6, 6, 10, 10, 2, 10, 6, 10, 6, 6, 6, 6, 1, 1, 10, 10, 2, 6, 1, 0, 6, 1, 0, 10, 1, 10, 10, 9, 1, 1, 10, 10, 10, 6, 10, 6, 6, 2, 6, 1, 1, 10, 1, 10, 6, 1, 4, 6, 2, 6, 2, 10, 1, 2, 6, 1, 1, 6, 10, 10, 6, 6, 2, 2, 2, 10, 10, 1, 2, 10, 1, 6, 2, 10, 2, 2, 6, 1, 10, 0, 10, 2, 2, 2, 10, 10, 10, 6, 10, 10, 6, 6, 10, 6, 6, 10, 1, 6, 2, 1, 0, 6, 4, 1, 1, 10, 6, 10, 1, 9, 6, 2, 10, 10, 10, 10, 2, 10, 2, 10, 1, 1, 2, 1, 6, 10, 6, 1, 1, 6, 6, 6, 1, 10, 1, 4, 10, 10, 1, 10, 1, 10, 10, 6, 2, 10, 6, 6, 10, 10, 1, 2, 6, 1, 6, 6, 10, 2, 2, 1, 1, 6, 2, 1, 10, 2, 6, 2, 10, 6, 6, 1, 2, 2, 5, 10, 4, 6, 1, 2, 1, 0, 6, 10, 6, 2, 1, 1, 1, 6, 2, 6, 2, 1, 10, 2, 10, 1, 1, 2, 6, 6, 1, 2, 1, 2, 2, 2, 1, 10, 6, 10, 1, 1, 10, 6, 2, 1, 10, 2, 6, 6, 1, 2, 6, 1, 1, 2, 2, 6, 2, 6, 10, 12, 10, 6, 0, 2, 10, 2, 1, 10, 6, 1, 2, 1, 2, 9, 10, 1, 10, 6, 6, 1, 10, 6, 6, 2, 2, 10, 2, 6, 1, 1, 6, 1, 1, 6, 2, 2, 2, 1, 1, 6, 2, 10, 10, 1, 2, 10, 10, 2, 10, 10, 10, 2, 6, 6, 2, 2, 0, 10, 10, 6, 2, 1, 6, 1, 6, 1, 10, 6, 2, 2, 2, 6, 2, 2, 0, 6, 2, 6, 2, 1, 1, 2, 2, 6, 2, 6, 6, 2, 2, 1, 6, 2, 2, 6, 1, 2, 10, 2, 1, 1, 10, 6, 2, 6, 1, 6, 10, 1, 9, 1, 2, 2, 6, 6, 2, 1, 6, 1, 1, 2, 1, 2, 2, 1, 1, 10, 1, 10, 10, 6, 2, 2, 2, 1, 1, 1, 1, 6, 2, 1, 6, 4, 6, 2, 10, 1, 1, 10, 10, 2, 10, 10, 1, 1, 1, 10, 6, 6, 10, 6, 6, 1, 1, 2, 2, 10, 10, 10, 6, 2, 2, 1, 10, 4, 10, 1, 2, 10, 10, 1, 2, 5, 6, 6, 2, 10, 1, 6, 2, 2, 6, 2, 1, 1, 10, 10, 1, 6, 1, 2, 1, 6, 1, 2, 2, 10, 2, 0, 6, 2, 1, 6, 6, 2, 1, 6, 2, 1, 2, 6, 2, 2, 6, 2, 6, 5, 1, 10, 10, 1, 1, 6, 10, 6, 1, 10, 9, 1, 10, 10, 1, 6, 2, 1, 10, 10, 10, 10, 0, 1, 10, 6, 2, 1, 5, 2, 6, 10, 1, 10, 2, 10, 6, 6, 1, 6, 2, 1, 2, 6, 2, 10, 2, 6, 1, 10, 10, 1, 6, 6, 1, 10, 2, 2, 6, 2, 1, 10, 6, 6, 1, 6, 6, 1, 2, 1, 10, 6, 2, 6, 2, 2, 2, 1, 6, 10, 1, 1, 1, 2, 10, 2, 10, 1, 10, 1, 6, 1, 2, 10, 2, 10, 10, 1, 10, 5, 0, 1, 1, 1, 0, 1, 6, 10, 6, 6, 10, 10, 6, 6, 1, 10, 6, 1, 2, 6, 1, 1, 10, 2, 1, 1, 2, 10, 10, 6, 1, 10, 2, 6, 6, 6, 2, 1, 2, 1, 6, 2, 2, 2, 6, 6, 6, 1, 1, 6, 2, 1, 2, 1, 6, 10, 1, 2, 5, 1, 10, 10, 6, 1, 6, 1, 1, 6, 2, 1, 9, 6, 6, 6, 2, 6, 10, 10, 2, 6, 2, 2, 10, 2, 2, 6, 9, 6, 10, 6, 6, 2, 10, 1, 1, 10, 6, 6, 6, 6, 2, 6, 10, 10, 1, 6, 2, 2, 6, 6, 1, 2, 6, 6, 1, 2, 6, 2, 10, 6, 10, 10, 6, 1, 2, 6, 2, 1, 1, 2, 6, 6, 1, 2, 2, 1, 10, 2, 6, 1, 1, 6, 10, 2, 6, 10, 0, 0, 6, 1, 10, 1, 1, 6, 1, 1, 6, 2, 2, 2, 1, 6, 6, 1, 6, 10, 1, 2, 10, 6, 2, 6, 2, 4, 6, 10, 10, 6, 10, 1, 6, 2, 10, 6, 6, 1, 2, 1, 2, 6, 10, 5, 2, 1, 10, 2, 2, 10, 2, 10, 10, 10, 2, 1, 6, 1, 6, 6, 1, 1, 10, 6, 6, 10, 2, 6, 10, 10, 10, 10, 1, 2, 6, 2, 1, 6, 1, 2, 1, 1, 2, 10, 1, 1, 1, 6, 1, 6, 2, 2, 10, 6, 9, 6, 10, 10, 6, 6, 2, 10, 6, 6, 6, 1, 1, 6, 2, 6, 10, 2, 2, 10, 1, 10, 6, 10, 2, 9, 10, 1, 2, 6, 5, 6, 6, 6, 2, 2, 10, 10, 6, 0, 2, 10, 6, 6, 1, 10, 2, 1, 6, 6, 2, 1, 10, 1, 6, 10, 10, 1, 6, 2, 10, 10, 1, 1, 6, 1, 1, 2, 6, 10, 10, 1, 2, 6, 10, 1, 1, 10, 10, 10, 6, 6, 2, 1, 10, 10, 6, 10, 2, 1, 1, 10, 10, 1, 10, 10, 10, 6, 1, 1, 5, 1, 10, 10, 6, 10, 6, 10, 6, 10, 5, 1, 1, 6, 1, 2, 6, 2, 1, 6, 6, 1, 6, 2, 1, 1, 1, 1, 6, 2, 6, 10, 6, 2, 10, 2, 10, 1, 2, 2, 2, 2, 1, 1, 10, 6, 1, 1, 6, 2, 2, 6, 2, 10, 0, 2, 1, 10, 2, 2, 6, 1, 10, 2, 2, 0, 1, 10, 6, 10, 10, 2, 10, 1, 2, 2, 10, 10, 10, 10, 1, 2, 10, 2, 6, 10, 6, 6, 2, 6, 2, 1, 2, 10, 10, 6, 6, 6, 6, 10, 10, 1, 10, 2, 1, 6, 1, 10, 1, 2, 10, 6, 2, 1, 10, 2, 10, 6, 10, 10, 6, 10, 6, 1, 6, 6, 1, 10, 10, 9, 10, 6, 10, 10, 2, 1, 1, 10, 1, 1, 6, 2, 1, 2, 1, 2, 2, 2, 0, 6, 2, 1, 10, 2, 6, 1, 6, 6, 6, 2, 6, 5, 10, 1, 2, 10, 6, 10, 1, 6, 1, 1, 10, 2, 10, 1, 2, 6, 6, 1, 6, 10, 2, 2, 10, 10, 2, 6, 2, 10, 2, 1, 1, 2, 6, 1, 2, 2, 6, 1, 6, 10, 2, 10, 6, 2, 1, 6, 10, 6, 10, 6, 6, 1, 10, 6, 2, 6, 10, 2, 2, 10, 1, 1, 6, 2, 9, 6, 1, 10, 1, 2, 10, 6, 6, 2, 2, 10, 6, 2, 2, 10, 10, 1, 1, 10, 0, 2, 6, 10, 10, 6, 1, 1, 2, 1, 1, 0, 9, 10, 1, 2, 1, 10, 1, 10, 2, 6, 6, 1, 10, 2, 2, 6, 6, 10, 6, 10, 2, 10, 10, 5, 2, 10, 6, 6, 6, 6, 1, 1, 2, 1, 5, 1, 9, 1, 2, 2, 4, 6, 1, 2, 6, 10, 1, 10, 1, 1, 6, 10, 1, 2, 1, 6, 6, 1, 2, 6, 1, 10, 2, 2, 10, 10, 2, 6, 6, 6, 2, 0, 10, 10, 10, 10, 6, 2, 1, 10, 10, 1, 10, 2, 10, 6, 4, 1, 6, 1, 2, 10, 2, 1, 10, 1, 2, 10, 10, 10, 2, 2, 1, 10, 2, 10, 6, 1, 6, 6, 10, 2, 2, 2, 2, 10, 10, 6, 10, 1, 0, 2, 1, 6, 2, 1, 1, 1, 10, 1, 6, 6, 6, 2, 2, 2, 6, 1, 6, 1, 1, 2, 2, 2, 6, 10, 2, 2, 2, 1, 10, 10, 2, 10, 2, 10, 2, 2, 2, 10, 6, 1, 2, 10, 1, 1, 4, 1, 2, 1, 10, 6, 1, 2, 10, 2, 6, 6, 10, 10, 1, 10, 10, 6, 6, 6, 6, 10, 0, 10, 10, 1, 1, 10, 2, 4, 10, 6, 2, 2, 10, 10, 10, 6, 1, 6, 6, 6, 10, 2, 10, 6, 1, 6, 1, 6, 6, 1, 10, 2, 6, 6, 10, 10, 1, 6, 10, 2, 6, 1, 6, 1, 2, 1, 1, 2, 2, 1, 2, 10, 6, 1, 2, 1, 2, 10, 2, 2, 6, 10, 1, 0, 0, 1, 10, 2, 10, 2, 6, 6, 2, 2, 10, 2, 6, 2, 1, 2, 2, 10, 1, 6, 1, 6, 6, 9, 10, 6, 6, 10, 10, 10, 1, 2, 5, 2, 1, 1, 2, 6, 2, 6, 2, 6, 2, 2, 6, 6, 6, 10, 1, 1, 6, 6, 10, 1, 1, 10, 4, 1, 2, 6, 2, 10, 2, 6, 1, 2, 1, 6, 10, 10, 2, 6, 1, 10, 2, 6, 2, 1, 6, 2, 2, 10, 10, 10, 2, 2, 2, 2, 10, 6, 60, 1, 4, 4, 10, 10, 6, 10, 10, 10, 2, 2, 10, 10, 1, 10, 1, 1, 2, 10, 2, 2, 6, 6, 6, 2, 6, 10, 1, 10, 1, 1, 1, 10, 6, 6, 10, 6, 2, 2, 1, 1, 9, 2, 6, 10, 10, 1, 6, 10, 10, 6, 2, 10, 2, 2, 1, 1, 6, 10, 2, 1, 6, 6, 1, 5, 6, 6, 1, 2, 6, 6, 6, 6, 2, 1, 2, 2, 10, 2, 10, 6, 10, 2, 2, 10, 6, 2, 6, 1, 2, 1, 6, 10, 6, 10, 10, 6, 10, 2, 6, 2, 1, 10, 10, 10, 6, 6, 2, 6, 10, 10, 1, 1, 2, 6, 6, 1, 6, 2, 1, 10, 10, 6, 1, 6, 6, 10, 2, 6, 1, 6, 10, 10, 6, 10, 6, 10, 1, 1, 1, 6, 6, 8, 10, 2, 6, 1, 6, 2, 2, 2, 2, 1, 6, 6, 10, 1, 10, 6, 2, 10, 2, 10, 2, 6, 10, 1, 10, 10, 1, 10, 6, 6, 9, 6, 1, 1, 2, 2, 0, 6, 6, 10, 10, 6, 1, 2, 6, 1, 2, 9, 6, 1, 2, 2, 6, 6, 1, 6, 6, 10, 9, 2, 1, 2, 6, 1, 10, 6, 1, 1, 2, 1, 10, 10, 2, 6, 10, 2, 2, 6, 1, 2, 10, 6, 2, 2, 10, 2, 6, 1, 1, 1, 6, 2, 10, 10, 6, 2, 10, 6, 10, 2, 10, 2, 10, 4, 6, 2, 6, 6, 1, 10, 10, 10, 2, 2, 1, 2, 6, 6, 1, 10, 10, 10, 1, 6, 6, 1, 6, 9, 9, 10, 6, 2, 6, 1, 1, 10, 10, 6, 5, 2, 2, 1, 1, 6, 6, 2, 10, 6, 6, 2, 7, 10, 0, 6, 6, 10, 2, 8, 4, 6, 10, 1, 6, 6, 6, 1, 2, 2, 6, 6, 1, 0, 10, 1, 6, 6, 1, 2, 6, 10, 5, 5, 6, 6, 1, 1, 1, 1, 2, 10, 6, 2, 6, 2, 1, 2, 10, 10, 5, 6, 10, 1, 2, 6, 6, 2, 1, 10, 2, 10, 6, 10, 2, 6, 6, 1, 6, 10, 1, 6, 1, 1, 6, 4, 6, 2, 6, 6, 6, 2, 10, 1, 2, 8, 1, 1, 10, 10, 2, 1, 10, 1, 6, 10, 1, 1, 2, 10, 10, 1, 10, 10, 1, 2, 2, 6, 6, 1, 2, 1, 10, 1, 1, 2, 6, 2, 1, 10, 2, 10, 1, 1, 1, 2, 10, 1, 1, 10, 2, 1, 1, 10, 1, 6, 2, 2, 2, 10, 6, 2, 2, 6, 2, 6, 2, 10, 1, 10, 10, 10, 2, 10, 6, 2, 10, 2, 6, 1, 2, 10, 1, 10, 6, 6, 6, 6, 10, 1, 2, 10, 10, 1, 10, 1, 2, 2, 6, 1, 6, 10, 2, 2, 10, 2, 2, 2, 6, 10, 6, 1, 10, 10, 0, 2, 6, 1, 6, 2, 6, 2, 1, 10, 1, 1, 10, 2, 6, 1, 6, 1, 10, 1, 1, 10, 1, 2, 1, 1, 6, 6, 10, 1, 1, 6, 6, 10, 6, 10, 10, 2, 2, 10, 10, 2, 2, 1, 6, 2, 10, 10, 1, 10, 2, 2, 2, 1, 6, 10, 6, 6, 1, 10, 1, 2, 6, 10, 10, 1, 10, 1, 6, 1, 10, 5, 6, 1, 0, 10, 2, 6, 6, 2, 2, 1, 6, 10, 2, 10, 1, 6, 10, 10, 2, 2, 6, 6, 6, 1, 10, 10, 6, 1, 8, 2, 1, 10, 6, 10, 10, 2, 10, 6, 2, 6, 6, 6, 2, 10, 10, 10, 2, 2, 10, 4, 6, 6, 10, 10, 6, 2, 10, 1, 6, 6, 2, 1, 6, 2, 10, 10, 2, 2, 10, 6, 1, 1, 2, 10, 6, 1, 10, 6, 10, 6, 2, 2, 6, 10, 10, 10, 2, 1, 2, 1, 6, 1, 10, 10, 1, 2, 6, 1, 1, 1, 2, 1, 1, 2, 10, 2, 1, 2, 2, 1, 10, 10, 6, 1, 10, 1, 4, 10, 6, 6, 6, 1, 1, 10, 1, 2, 10, 6, 1, 10, 6, 1, 2, 2, 2, 1, 4, 1, 2, 1, 10, 1, 6, 1, 1, 6, 2, 1, 6, 10, 1, 10, 10, 2, 10, 1, 0, 6, 0, 2, 2, 1, 2, 1, 2, 1, 10, 2, 6, 2, 6, 2, 2, 1, 10, 6, 10, 1, 10, 2, 2, 6, 6, 10, 10, 6, 6, 2, 6, 10, 1, 2, 6, 10, 2, 6, 6, 0, 1, 10, 1, 6, 1, 6, 1, 1, 2, 10, 6, 1, 1, 6, 2, 1, 10, 2, 2, 6, 2, 2, 2, 2, 6, 1, 2, 6, 2, 10, 6, 10, 6, 2, 1, 1, 2, 6, 1, 10, 10, 1, 2, 10, 10, 2, 10, 2, 2, 2, 6, 6, 6, 6, 6, 10, 2, 10, 2, 2, 6, 1, 10, 2, 1, 6, 10, 2, 10, 2, 2, 10, 10, 10, 6, 2, 2, 2, 1, 2, 2, 1, 6, 10, 1, 1, 10, 1, 6, 6, 0, 1, 10, 6, 6, 6, 1, 1, 6, 10, 6, 1, 2, 10, 2, 4, 6, 2, 6, 6, 6, 6, 0, 6, 1, 2, 10, 1, 6, 4, 2, 1, 2, 10, 1, 6, 1, 6, 1, 10, 6, 1, 10, 10, 1, 1, 2, 1, 10, 1, 2, 6, 4, 2, 1, 2, 9, 10, 10, 6, 6, 10, 10, 1, 10, 10, 1, 1, 2, 6, 2, 10, 2, 10, 10, 1, 2, 2, 1, 6, 2, 10, 6, 6, 6, 2, 2, 2, 6, 4, 4, 1, 2, 1, 2, 1, 2, 10, 10, 1, 6, 1, 5, 2, 2, 10, 10, 1, 10, 1, 2, 2, 1, 10, 2, 10, 2, 10, 10, 10, 6, 2, 1, 2, 10, 2, 6, 1, 1, 2, 1, 1, 6, 10, 2, 1, 6, 6, 6, 1, 6, 2, 10, 6, 10, 6, 6, 1, 4, 1, 4, 10, 0, 6, 10, 10, 10, 6, 10, 1, 6, 10, 6, 10, 2, 6, 2, 10, 6, 10, 6, 5, 2, 6, 2, 6, 6, 10, 10, 6, 1, 1, 9, 2, 1, 6, 10, 1, 6, 1, 1, 6, 1, 1, 6, 2, 2, 6, 1, 6, 10, 1, 2, 10, 10, 1, 1, 4, 6, 1, 10, 1, 10, 6, 1, 10, 6, 1, 6, 6, 10, 2, 6, 10, 2, 2, 10, 1, 10, 1, 6, 10, 1, 6, 6, 1, 10, 6, 6, 10, 6, 10, 1, 2, 10, 6, 2, 10, 6, 2, 4, 1, 2, 2, 1, 10, 10, 6, 2, 10, 10, 10, 1, 6, 6, 1, 10, 6, 2, 2, 10, 6, 2, 6, 1, 1, 6, 6, 6, 10, 6, 10, 1, 2, 1, 6, 1, 2, 10, 4, 1, 10, 1, 6, 10, 1, 2, 1, 2, 10, 1, 10, 10, 10, 10, 1, 2, 2, 2, 6, 2, 10, 2, 1, 1, 2, 6, 1, 6, 10, 2, 6, 6, 6, 6, 1, 10, 2, 1, 10, 1, 6, 6, 10, 1, 10, 2, 6, 10, 1, 10, 10, 2, 1, 2, 10, 2, 2, 6, 10, 2, 1, 2, 2, 10, 6, 2, 1, 10, 2, 10, 10, 1, 6, 2, 6, 4, 6, 10, 2, 10, 6, 2, 1, 2, 2, 6, 1, 2, 2, 6, 6, 2, 1, 6, 1, 6, 10, 10, 4, 2, 1, 2, 2, 2, 1, 6, 6, 10, 1, 10, 6, 6, 6, 6, 2, 1, 10, 1, 10, 1, 1, 6, 10, 1, 1, 10, 10, 6, 6, 2, 2, 1, 1, 6, 6, 6, 1, 10, 10, 2, 6, 1, 2, 10, 6, 1, 10, 2, 2, 1, 1, 10, 10, 2, 10, 1, 10, 6, 2, 1, 2, 1, 6, 10, 6, 6, 10, 6, 10, 1, 2, 10, 2, 1, 1, 2, 2, 10, 6, 1, 10, 2, 1, 6, 6, 10, 10, 10, 1, 1, 2, 10, 1, 2, 6, 1, 10, 2, 10, 6, 10, 10, 2, 10, 1, 1, 2, 2, 10, 2, 10, 6, 2, 2, 1, 2, 1, 1, 6, 6, 6, 10, 2, 10, 6, 1, 2, 1, 10, 2, 10, 2, 10, 1, 2, 10, 1, 1, 6, 1, 2, 1, 2, 6, 6, 10, 1, 10, 6, 10, 6, 6, 1, 1, 2, 6, 10, 1, 10, 1, 2, 2, 1, 1, 1, 2, 6, 4, 10, 10, 1, 2, 6, 1, 1, 2, 6, 10, 10, 10, 2, 2, 6, 10, 2, 10, 10, 2, 10, 2, 2, 10, 1, 1, 6, 1, 10, 1, 9, 1, 2, 10, 2, 0, 10, 1, 2, 6, 6, 10, 10, 10, 6, 2, 1, 2, 5, 1, 6, 1, 1, 0, 10, 1, 2, 10, 1, 10, 2, 10, 6, 10, 10, 10, 6, 10, 2, 1, 1, 2, 10, 6, 1, 1, 10, 10, 2, 2, 6, 6, 2, 6, 2, 2, 6, 2, 1, 10, 10, 10, 6, 10, 10, 1, 1, 1, 2, 6, 2, 6, 1, 1, 6, 2, 2, 2, 1, 10, 10, 1, 10, 2, 6, 10, 6, 0, 6, 1, 6, 2, 6, 2, 2, 1, 10, 2, 1, 2, 0, 2, 2, 6, 4, 10, 1, 2, 1, 1, 1, 2, 1, 6, 1, 1, 2, 9, 1, 2, 10, 7, 6, 10, 6, 1, 10, 2, 1, 1, 2, 6, 6, 2, 2, 1, 1, 6, 2, 10, 2, 1, 1, 1, 6, 2, 6, 1, 6, 2, 1, 1, 2, 6, 10, 6, 10, 10, 6, 6, 10, 2, 6, 6, 6, 10, 5, 2, 10, 1, 5, 2, 6, 5, 6, 6, 1, 6, 10, 1, 6, 10, 2, 6, 10, 2, 2, 6, 2, 2, 2, 2, 6, 1, 6, 6, 1, 6, 1, 10, 2, 10, 2, 10, 1, 4, 1, 4, 2, 10, 10, 1, 1, 2, 1, 6, 10, 10, 10, 6, 2, 1, 2, 10, 1, 10, 6, 2, 10, 6, 6, 6, 2, 6, 10, 10, 10, 6, 1, 2, 10, 10, 0, 6, 6, 6, 4, 1, 2, 6, 6, 6, 10, 10, 1, 6, 2, 10, 1, 10, 6, 10, 2, 4, 6, 3, 2, 2, 10, 10, 10, 6, 10, 1, 2, 2, 6, 2, 2, 2, 10, 2, 1, 10, 6, 2, 2, 10, 1, 10, 6, 1, 6, 10, 2, 2, 6, 5, 6, 10, 10, 10, 1, 6, 1, 6, 2, 6, 1, 6, 3, 6, 10, 10, 10, 6, 1, 6, 1, 2, 1, 1, 2, 6, 2, 1, 1, 10, 1, 10, 2, 10, 1, 10, 2, 10, 1, 6, 2, 1, 10, 6, 2, 10, 1, 10, 1, 6, 1, 2, 2, 1, 10, 6, 2, 2, 10, 2, 2, 2, 2, 1, 10, 1, 10, 6, 6, 2, 2, 2, 2, 6, 2, 6, 6, 1, 1, 1, 1, 2, 2, 6, 1, 10, 6, 1, 1, 1, 10, 10, 2, 10, 0, 6, 6, 6, 1, 10, 6, 6, 1, 2, 2, 10, 10, 6, 10, 6, 1, 2, 10, 10, 1, 1, 10, 1, 10, 1, 10, 2, 6, 10, 2, 6, 1, 1, 9, 10, 6, 4, 1, 6, 2, 1, 2, 10, 2, 2, 1, 10, 10, 2, 6, 6, 1, 2, 10, 6, 6, 1, 1, 6, 2, 1, 2, 1, 1, 6, 6, 1, 2, 1, 1, 2, 6, 6, 6, 1, 1, 1, 2, 10, 2, 2, 2, 10, 10, 1, 10, 2, 6, 10, 10, 6, 6, 2, 1, 1, 6, 1, 10, 6, 6, 6, 10, 10, 10, 1, 1, 1, 6, 6, 1, 10, 10, 1, 10, 2, 2, 2, 10, 5, 1, 10, 10, 10, 1, 6, 6, 6, 1, 40, 10, 10, 1, 2, 2, 6, 10, 10, 2, 6, 10, 1, 2, 6, 2, 1, 2, 2, 10, 10, 1, 1, 6, 1, 10, 1, 1, 6, 10, 10, 5, 10, 1, 2, 10, 1, 10, 1, 10, 0, 6, 2, 2, 6, 6, 1, 10, 2, 40, 2, 6, 2, 2, 1, 6, 6, 6, 1, 2, 2, 1, 2, 1, 10, 10, 10, 2, 6, 6, 1, 2, 9, 6, 1, 6, 1, 10, 2, 2, 10, 4, 2, 2, 1, 6, 6, 1, 2, 10, 10, 2, 6, 1, 10, 6, 6, 2, 10, 6, 0, 2, 1, 2, 10, 10, 10, 1, 2, 6, 1, 10, 6, 6, 1, 1, 1, 2, 1, 1, 10, 10, 1, 1, 10, 2, 1, 9, 2, 10, 1, 2, 2, 2, 1, 6, 1, 2, 1, 2, 6, 10, 6, 1, 6, 1, 10, 10, 10, 2, 10, 5, 10, 6, 6, 2, 6, 2, 2, 1, 1, 6, 6, 1, 2, 10, 6, 1, 1, 10, 6, 10, 0, 10, 1, 1, 10, 2, 2, 1, 1, 6, 6, 1, 2, 1, 6, 1, 1, 10, 6, 2, 1, 10, 10, 1, 1, 6, 2, 10, 2, 1, 6, 2, 9, 10, 1, 2, 1, 10, 1, 10, 2, 1, 4, 10, 2, 1, 10, 2, 6, 1, 6, 2, 2, 1, 1, 1, 2, 10, 2, 1, 10, 2, 6, 2, 2, 9, 1, 10, 10, 2, 2, 2, 1, 1, 6, 10, 6, 1, 2, 2, 6, 1, 1, 1, 1, 1, 6, 6, 1, 1, 6, 1, 10, 2, 1, 6, 1, 10, 10, 2, 6, 1, 2, 6, 2, 1, 1, 1, 10, 2, 2, 6, 1, 10, 10, 1, 2, 2, 2, 2, 6, 6, 6, 10, 6, 6, 10, 0, 9, 6, 6, 1, 10, 6, 10, 6, 10, 10, 5, 5, 10, 2, 1, 10, 10, 2, 2, 6, 10, 6, 10, 10, 1, 1, 2, 2, 2, 6, 1, 6, 1, 6, 2, 6, 2, 1, 6, 2, 2, 6, 0, 6, 10, 10, 10, 6, 6, 2, 2, 6, 1, 1, 10, 2, 2, 1, 10, 10, 10, 6, 6, 6, 1, 10, 6, 6, 10, 1, 0, 2, 6, 10, 6, 10, 1, 6, 1, 10, 1, 6, 2, 2, 6, 1, 6, 10, 2, 1, 1, 1, 2, 2, 6, 2, 2, 6, 1, 10, 6, 2, 2, 0, 2, 6, 10, 1, 1, 1, 6, 6, 6, 10, 2, 6, 1, 6, 2, 10, 1, 2, 6, 1, 1, 6, 6, 6, 6, 10, 10, 2, 6, 2, 2, 2, 2, 2, 2, 2, 1, 6, 6, 6, 10, 10, 6, 10, 1, 2, 1, 1, 2, 2, 10, 10, 2, 2, 1, 2, 1, 6, 1, 2, 6, 6, 10, 10, 10, 2, 10, 1, 6, 1, 2, 1, 6, 10, 6, 10, 6, 1, 2, 1, 10, 6, 2, 10, 2, 5, 10, 6, 10, 2, 2, 2, 10, 6, 2, 9, 10, 2, 6, 1, 10, 2, 2, 2, 6, 60, 2, 6, 1, 6, 6, 1, 1, 2, 5, 2, 6, 6, 2, 6, 1, 6, 6, 10, 1, 6, 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1, 1, 6, 1, 2, 6, 6, 10, 2, 10, 1, 2, 6, 2, 10, 10, 10, 6, 2, 2, 10, 10, 10, 2, 1, 2, 2, 6, 1, 2, 10, 6, 1, 10, 6, 2, 9, 2, 10, 10, 10, 2, 1, 10, 6, 2, 1, 10, 2, 2, 6, 10, 1, 10, 2, 10, 10, 2, 6, 6, 1, 6, 2, 6, 6, 2, 2, 10, 1, 2, 10, 6, 10, 10, 1, 6, 2, 1, 6, 10, 1, 6, 10, 1, 1, 2, 2, 1, 10, 10, 1, 6, 1, 1, 10, 10, 2, 1, 2, 10, 1, 10, 2, 2, 1, 6, 10, 1, 6, 1, 1, 2, 10, 10, 6, 6, 6, 6, 10, 9, 6, 2, 1, 10, 6, 10, 10, 6, 2, 1, 10, 1, 1, 6, 10, 1, 10, 1, 2, 10, 1, 9, 1, 1, 10, 1, 6, 6, 0, 10, 2, 1, 10, 1, 1, 10, 1, 2, 1, 10, 2, 1, 2, 1, 6, 6, 2, 6, 6, 2, 2, 6, 6, 10, 1, 1, 1, 6, 2, 2, 1, 10, 10, 6, 1, 1, 2, 6, 1, 6, 6, 6, 2, 10, 6, 10, 6, 1, 6, 2, 10, 1, 1, 6, 6, 10, 2, 2, 10, 1, 1, 10, 6, 2, 10, 1, 2, 1, 2, 6, 10, 10, 10, 2, 10, 10, 10, 10, 6, 10, 10, 2, 6, 6, 6, 6, 6, 10, 2, 2, 2, 10, 2, 1, 10, 10, 1, 1, 10, 1, 10, 6, 10, 6, 2, 1, 6, 10, 1, 6, 2, 1, 1, 2, 1, 6, 1, 6, 10, 6, 2, 5, 10, 6, 1, 2, 2, 6, 6, 2, 6, 6, 10, 10, 6, 6, 2, 2, 6, 1, 6, 6, 1, 1, 6, 6, 10, 6, 6, 6, 10, 2, 1, 6, 6, 1, 6, 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10, 6, 4, 6, 10, 2, 1, 6, 6, 6, 1, 6, 1, 2, 1, 2, 2, 10, 2, 10, 6, 2, 10, 2, 10, 1, 6, 1, 1, 10, 6, 1, 2, 1, 2, 6, 10, 6, 10, 10, 2, 6, 1, 1, 6, 10, 1, 10, 10, 2, 4, 10, 10, 1, 2, 2, 10, 1, 2, 6, 2, 10, 1, 10, 2, 10, 1, 6, 1, 10, 1, 2, 10, 10, 10, 6, 6, 1, 1, 2, 1, 1, 1, 2, 10, 6, 2, 6, 1, 10, 10, 6, 6, 2, 1, 6, 1, 1, 1, 10, 10, 10, 10, 10, 10, 2, 2, 1, 1, 1, 1, 6, 10, 2, 2, 1, 2, 2, 6, 1, 1, 6, 1, 2, 1, 10, 2, 1, 1, 2, 10, 2, 6, 10, 1, 10, 1, 10, 1, 2, 6, 2, 10, 10, 6, 6, 2, 10, 2, 6, 6, 1, 1, 1, 1, 2, 10, 1, 10, 10, 2, 6, 6, 2, 1, 6, 1, 6, 6, 10, 1, 2, 10, 2, 10, 2, 6, 1, 4, 1, 2, 1, 10, 6, 2, 2, 2, 10, 10, 10, 1, 1, 1, 1, 6, 10, 2, 2, 10, 10, 2, 6, 2, 2, 1, 5, 10, 1, 10, 6, 10, 2, 1, 1, 1, 2, 1, 6, 2, 6, 2, 2, 6, 1, 10, 2, 6, 10, 6, 4, 6, 1, 2, 10, 6, 2, 10, 10, 1, 6, 6, 10, 2, 10, 10, 10, 10, 6, 6, 6, 2, 6, 10, 6, 5, 10, 2, 10, 2, 2, 2, 10, 10, 1, 0, 10, 1, 2, 2, 10, 0, 1, 2, 2, 6, 10, 10, 2, 1, 1, 1, 6, 6, 1, 40, 5, 6, 1, 10, 6, 2, 6, 1, 2, 2, 6, 10, 6, 6, 2, 2, 2, 6, 1, 2, 2, 2, 10, 1, 6, 6, 0, 1, 1, 2, 10, 1, 10, 10, 10, 2, 2, 6, 6, 10, 6, 6, 2, 1, 6, 2, 10, 6, 1, 10, 10, 6, 2, 1, 1, 10, 6, 6, 6, 6, 2, 10, 6, 6, 10, 10, 10, 10, 10, 1, 1, 1, 1, 2, 6, 6, 6, 10, 1, 6, 6, 6, 1, 6, 10, 2, 6, 2, 6, 6, 6, 6, 2, 2, 6, 10, 2, 6, 1, 1, 10, 9, 6, 6, 2, 10, 2, 6, 4, 1, 10, 1, 1, 6, 6, 1, 1, 0, 6, 10, 9, 2, 10, 4, 1, 1, 1, 1, 6, 1, 1, 1, 2, 6, 1, 6, 10, 1, 1, 6, 1, 2, 2, 6, 6, 2, 1, 10, 6, 2, 6, 1, 2, 40, 10, 2, 6, 10, 6, 6, 2, 1, 1, 2, 10, 6, 6, 10, 1, 6, 1, 10, 10, 6, 6, 10, 2, 2, 1, 1, 1, 2, 10, 6, 6, 1, 1, 6, 6, 10, 6, 1, 6, 10, 6, 2, 10, 2, 10, 10, 2, 2, 10, 2, 6, 1, 2, 0, 2, 1, 6, 1, 1, 1, 2, 10, 10, 2, 6, 10, 1, 1, 2, 2, 10, 2, 2, 10, 10, 6, 10, 2, 10, 6, 1, 6, 1, 10, 1, 6, 9, 1, 6, 1, 10, 9, 6, 2, 10, 6, 6, 1, 1, 10, 10, 2, 6, 2, 2, 1, 1, 10, 6, 6, 2, 10, 2, 2, 2, 6, 1, 2, 10, 1, 2, 1, 2, 6, 1, 2, 10, 6, 6, 10, 10, 10, 6, 1, 10, 2, 2, 1, 10, 10, 2, 6, 0, 1, 1, 2, 6, 6, 5, 6, 6, 6, 6, 10, 10, 6, 2, 10, 1, 1, 6, 2, 10, 2, 10, 2, 1, 10, 1, 6, 2, 6, 1, 2, 1, 1, 2, 10, 1, 6, 6, 6, 2, 9, 2, 1, 6, 6, 6, 1, 2, 6, 1, 10, 9, 10, 6, 10, 0, 0, 6, 2, 10, 1, 10, 10, 1, 6, 2, 2, 1, 6, 10, 1, 2, 2, 2, 2, 6, 6, 1, 1, 2, 6, 10, 2, 10, 6, 6, 1, 6, 10, 6, 2, 10, 10, 6, 1, 10, 10, 6, 2, 1, 10, 2, 1, 6, 2, 1, 2, 9, 1, 6, 10, 10, 2, 10, 10, 2, 1, 1, 1, 6, 1, 1, 2, 1, 1, 10, 6, 1, 2, 1, 1, 6, 10, 10, 6, 10, 10, 2, 1, 6, 10, 6, 2, 6, 2, 6, 10, 6, 10, 2, 1, 6, 10, 10, 2, 1, 2, 1, 1, 6, 1, 10, 6, 2, 10, 10, 1, 6, 1, 6, 1, 6, 2, 10, 10, 6, 2, 1, 10, 2, 10, 6, 10, 10, 1, 2, 10, 6, 10, 5, 6, 10, 1, 6, 2, 9, 10, 1, 2, 6, 6, 1, 10, 1, 1, 6, 1, 1, 2, 10, 6, 1, 2, 10, 10, 10, 1, 6, 1, 10, 10, 10, 2, 2, 10, 6, 10, 1, 10, 10, 6, 1, 10, 10, 1, 2, 6, 10, 1, 10, 1, 1, 6, 6, 6, 1, 10, 2, 2, 4, 6, 6, 2, 2, 6, 10, 2, 2, 6, 10, 10, 2, 1, 2, 1, 1, 10, 2, 2, 10, 10, 1, 0, 1, 6, 2, 6, 1, 6, 2, 1, 2, 10, 6, 10, 2, 6, 6, 1, 5, 2, 1, 2, 1, 6, 2, 1, 6, 6, 10, 1, 6, 10, 1, 1, 2, 2, 6, 1, 1, 1, 2, 6, 6, 1, 2, 10, 10, 2, 1, 2, 10, 2, 10, 2, 1, 2, 1, 10, 1, 6, 6, 2, 5, 4, 2, 2, 6, 6, 1, 2, 10, 2, 1, 10, 9, 6, 6, 2, 6, 10, 10, 10, 1, 6, 2, 1, 6, 10, 6, 2, 1, 10, 6, 1, 1, 1, 1, 10, 1, 6, 1, 2, 2, 6, 2, 2, 6, 0, 10, 10, 1, 1, 0, 1, 10, 6, 6, 2, 2, 5, 6, 10, 6, 6, 1, 10, 1, 2, 1, 10, 1, 10, 0, 1, 2, 9, 2, 10, 10, 1, 1, 10, 2, 4, 10, 1, 6, 1, 2, 10, 6, 1, 6, 1, 2, 10, 6, 10, 6, 1, 2, 1, 6, 10, 10, 10, 10, 2, 1, 6, 2, 10, 2, 2, 6, 6, 6, 2, 1, 1, 1, 2, 10, 1, 2, 1, 2, 2, 6, 6, 6, 2, 10, 6, 6, 0, 6, 10, 6, 2, 6, 10, 6, 2, 10, 10, 2, 0, 9, 6, 6, 2, 10, 2, 10, 10, 1, 10, 6, 10, 1, 2, 1, 1, 6, 6, 2, 1, 2, 1, 10, 2, 2, 6, 10, 10, 1, 1, 10, 6, 1, 10, 2, 2, 6, 6, 10, 6, 1, 6, 1, 6, 6, 9, 10, 1, 1, 10, 10, 2, 2, 5, 6, 2, 1, 2, 6, 10, 2, 10, 10, 6, 6, 10, 2, 2, 6, 6, 1, 10, 6, 1, 2, 2, 2, 1, 1, 10, 9, 1, 6, 5, 1, 2, 1, 10, 2, 6, 6, 6, 1, 6, 6, 10, 2, 1, 1, 2, 10, 10, 2, 10, 2, 1, 6, 2, 2, 10, 1, 1, 4, 10, 2, 6, 6, 10, 1, 2, 2, 6, 6, 10, 6, 2, 0, 1, 10, 1, 6, 6, 2, 10, 10, 2, 1, 2, 10, 2, 2, 1, 6, 2, 1, 5, 6, 2, 1, 6, 10, 10, 10, 2, 10, 10, 1, 6, 1, 1, 1, 1, 1, 6, 1, 10, 10, 2, 6, 2, 2, 10, 1, 10, 10, 6, 1, 6, 10, 10, 2, 10, 6, 6, 6, 2, 1, 1, 2, 10, 2, 10, 6, 2, 10, 2, 10, 10, 1, 10, 1, 1, 6, 10, 2, 2, 10, 2, 1, 1, 6, 6, 6, 6, 2, 1, 2, 2, 6, 10, 2, 9, 1, 1, 10, 1, 6, 6, 2, 1, 1, 2, 2, 6, 6, 6, 2, 6, 2, 10, 10, 2, 1, 2, 6, 10, 6, 6, 1, 2, 1, 2, 6, 10, 2, 6, 6, 2, 2, 2, 1, 1, 6, 10, 10, 6, 1, 1, 1, 6, 6, 10, 6, 1, 2, 10, 2, 6, 6, 2, 10, 6, 10, 10, 6, 6, 2, 6, 10, 10, 10, 6, 1, 6, 10, 6, 2, 6, 10, 6, 10, 1, 1, 10, 2, 6, 6, 2, 6, 1, 2, 2, 1, 1, 1, 2, 2, 2, 6, 6, 10, 6, 4, 1, 10, 6, 2, 10, 5, 1, 5, 10, 10, 1, 2, 1, 10, 1, 2, 1, 6, 1, 10, 1, 1, 10, 6, 1, 6, 10, 6, 10, 10, 1, 6, 4, 1, 10, 1, 6, 1, 1, 6, 1, 2, 1, 10, 1, 2, 1, 6, 1, 6, 1, 1, 6, 10, 6, 6, 1, 1, 1, 10, 1, 1, 2, 2, 6, 6, 1, 10, 6, 10, 1, 6, 0, 1, 6, 1, 2, 6, 1, 10, 10, 10, 2, 10, 1, 10, 2, 6, 60, 10, 6, 6, 10, 6, 10, 6, 10, 6, 10, 10, 6, 6, 1, 6, 1, 2, 1, 1, 1, 0, 1, 10, 10, 10, 1, 1, 1, 6, 10, 1, 1, 1, 2, 2, 1, 2, 10, 10, 1, 9, 2, 6, 10, 2, 10, 1, 6, 2, 2, 10, 10, 2, 6, 1, 6, 1, 10, 2, 10, 2, 2, 1, 1, 2, 2, 6, 1, 2, 2, 6, 1, 2, 1, 1, 2, 10, 10, 6, 2, 2, 10, 1, 2, 2, 6, 10, 1, 1, 6, 2, 10, 1, 10, 1, 1, 10, 6, 1, 10, 1, 2, 10, 2, 2, 6, 1, 1, 2, 10, 2, 1, 10, 2, 10, 2, 1, 2, 2, 6, 10, 1, 6, 2, 2, 1, 2, 10, 10, 1, 2, 6, 6, 6, 5, 1, 2, 6, 6, 1, 6, 10, 6, 2, 10, 1, 1, 1, 9, 6, 10, 10, 1, 10, 2, 10, 7, 6, 10, 6, 10, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 6, 10, 10, 6, 6, 2, 2, 1, 6, 10, 2, 2, 6, 10, 1, 6, 6, 2, 5, 1, 10, 1, 5, 10, 10, 2, 10, 1, 1, 1, 2, 6, 1, 6, 10, 1, 10, 1, 10, 2, 6, 10, 1, 1, 9, 6, 10, 6, 5, 6, 6, 10, 6, 2, 1, 1, 1, 10, 1, 10, 6, 6, 10, 6, 6, 1, 6, 2, 10, 1, 1, 10, 2, 2, 10, 2, 1, 10, 10, 6, 10, 9, 2, 1, 2, 2, 1, 6, 0, 4, 2, 10, 6, 10, 10, 1, 6, 1, 10, 6, 6, 6, 2, 6, 2, 10, 7, 6, 10, 10, 10, 2, 2, 10, 6, 1, 2, 10, 9, 10, 6, 2, 10, 1, 6, 2, 1, 10, 1, 2, 1, 2, 2, 1, 1, 10, 6, 1, 4, 6, 2, 2, 10, 2, 1, 2, 10, 10, 10, 10, 6, 2, 2, 6, 6, 2, 2, 1, 1, 6, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 6, 6, 10, 2, 1, 1, 2, 10, 6, 6, 1, 1, 10, 1, 10, 6, 1, 2, 5, 10, 1, 2, 6, 1, 6, 4, 2, 10, 6, 2, 2, 2, 1, 10, 4, 6, 1, 2, 9, 1, 6, 1, 2, 1, 6, 2, 2, 1, 1, 1, 10, 1, 10, 10, 0, 2, 10, 2, 1, 10, 1, 10, 2, 6, 1, 6, 10, 2, 1, 10, 2, 10, 2, 1, 6, 10, 10, 6, 6, 1, 2, 6, 1, 10, 10, 6, 6, 10, 6, 1, 6, 2, 6, 1, 6, 1, 10, 5, 2, 6, 10, 1, 6, 10, 10, 6, 1, 9, 10, 6, 6, 10, 10, 6, 1, 1, 10, 1, 2, 1, 6, 6, 1, 1, 10, 2, 2, 6, 2, 1, 2, 1, 1, 1, 9, 6, 2, 1, 1, 10, 10, 10, 10, 1, 1, 2, 6, 10, 10, 6, 6, 6, 1, 6, 2, 1, 1, 10, 2, 6, 6, 2, 2, 2, 2, 10, 10, 2, 1, 6, 1, 1, 1, 6, 6, 6, 6, 2, 1, 10, 6, 1, 1, 2, 10, 1, 2, 10, 2, 10, 1, 1, 6, 10, 6, 6, 1, 2, 2, 10, 2, 6, 10, 6, 2, 1, 10, 1, 1, 2, 1, 1, 10, 10, 1, 2, 10, 2, 1, 2, 6, 10, 1, 1, 10, 1, 10, 2, 2, 2, 1, 6, 10, 10, 2, 10, 0, 6, 1, 10, 10, 6, 1, 1, 0, 1, 6, 2, 10, 6, 1, 1, 6, 10, 6, 2, 1, 10, 2, 10, 1, 6, 2, 6, 2, 2, 2, 1, 1, 1, 6, 6, 2, 10, 6, 6, 1, 1, 2, 6, 2, 1, 1, 1, 10, 10, 6, 10, 6, 2, 1, 10, 6, 10, 2, 10, 6, 10, 2, 2, 2, 2, 2, 10, 2, 1, 1, 10, 6, 6, 1, 4, 1, 10, 1, 2, 2, 2, 1, 2, 2, 1, 1, 10, 10, 2, 0, 6, 2, 2, 2, 2, 6, 1, 1, 10, 2, 10, 10, 10, 1, 1, 2, 1, 6, 2, 6, 10, 6, 2, 6, 10, 2, 10, 2, 2, 10, 0, 5, 1, 6, 2, 2, 10, 1, 6, 2, 1, 1, 2, 10, 1, 2, 1, 6, 1, 2, 2, 10, 1, 6, 1, 1, 10, 1, 1, 1, 6, 4, 10, 2, 10, 6, 6, 1, 1, 1, 1, 6, 10, 1, 2, 1, 6, 2, 2, 6, 6, 10, 6, 10, 10, 10, 1, 10, 2, 2, 10, 6, 6, 1, 1, 10, 2, 10, 10, 10, 6, 1, 5, 1, 2, 6, 1, 1, 6, 6, 10, 1, 10, 6, 10, 2, 10, 10, 10, 1, 10, 4, 1, 2, 10, 1, 2, 1, 10, 1, 2, 1, 10, 2, 1, 6, 1, 1, 2, 10, 2, 1, 2, 2, 1, 1, 10, 1, 6, 2, 6, 1, 2, 2, 6, 10, 5, 2, 10, 2, 2, 1, 10, 10, 10, 10, 2, 1, 6, 9, 6, 2, 1, 2, 10, 1, 2, 2, 6, 2, 6, 10, 10, 10, 2, 4, 10, 6, 2, 6, 1, 2, 6, 1, 10, 2, 10, 6, 2, 2, 10, 6, 10, 10, 2, 6, 6, 6, 2, 1, 2, 1, 2, 10, 10, 1, 1, 10, 1, 2, 1, 6, 10, 1, 1, 10, 1, 10, 1, 10, 2, 6, 6, 6, 0, 10, 10, 2, 6, 10, 6, 2, 1, 6, 2, 1, 2, 1, 1, 10, 1, 2, 10, 10, 10, 2, 10, 6, 6, 10, 2, 2, 10, 2, 0, 1, 1, 6, 6, 1, 1, 2, 2, 10, 1, 6, 1, 10, 6, 1, 2, 10, 2, 1, 10, 2, 6, 6, 1, 6, 5, 10, 10, 10, 2, 1, 10, 10, 2, 2, 1, 10, 6, 10, 6, 10, 2, 6, 6, 2, 6, 2, 10, 1, 2, 2, 6, 10, 6, 1, 10, 10, 2, 4, 2, 2, 6, 10, 10, 4, 2, 2, 6, 2, 6, 10, 6, 1, 10, 1, 2, 2, 1, 1, 6, 10, 6, 6, 10, 10, 1, 10, 9, 10, 10, 1, 10, 1, 6, 6, 6, 1, 6, 2, 1, 6, 2, 10, 10, 10, 10, 1, 1, 10, 7, 6, 6, 10, 6, 1, 1, 5, 2, 10, 1, 6, 2, 10, 10, 2, 1, 10, 1, 6, 2, 10, 6, 1, 1, 1, 1, 6, 10, 10, 6, 1, 6, 6, 2, 1, 6, 10, 10, 1, 6, 2, 1, 6, 1, 6, 10, 10, 6, 10, 10, 4, 10, 2, 1, 0, 10, 6, 10, 2, 6, 2, 1, 2, 10, 6, 10, 6, 2, 10, 2, 10, 2, 0, 1, 2, 10, 2, 2, 10, 1, 10, 2, 10, 10, 1, 1, 1, 2, 6, 10, 1, 2, 6, 1, 1, 1, 2, 6, 2, 2, 2, 1, 2, 0, 6, 1, 1, 1, 50, 2, 6, 2, 6, 10, 10, 2, 10, 6, 6, 6, 2, 10, 6, 1, 2, 0, 1, 10, 6, 1, 10, 2, 2, 2, 2, 1, 1, 10, 6, 10, 6, 1, 9, 10, 10, 10, 6, 6, 6, 1, 6, 6, 1, 1, 2, 6, 10, 10, 2, 2, 6, 10, 6, 6, 2, 1, 10, 6, 6, 10, 1, 10, 2, 6, 1, 10, 10, 6, 6, 6, 6, 2, 2, 10, 1, 2, 1, 10, 1, 10, 10, 6, 6, 10, 6, 1, 2, 2, 10, 1, 1, 1, 10, 2, 2, 10, 2, 10, 2, 6, 6, 2, 1, 2, 6, 6, 2, 10, 10, 10, 6, 10, 6, 2, 6, 2, 4, 6, 6, 10, 1, 10, 1, 1, 2, 6, 10, 1, 10, 2, 1, 2, 4, 6, 1, 6, 1, 10, 6, 1, 6, 2, 10, 6, 10, 2, 10, 2, 6, 2, 6, 2, 6, 1, 10, 9, 1, 6, 1, 6, 2, 6, 10, 2, 6, 6, 2, 1, 1, 50, 2, 10, 1, 1, 2, 6, 2, 2, 6, 1, 2, 1, 4, 10, 2, 2, 2, 10, 10, 6, 6, 6, 10, 2, 0, 10, 1, 10, 10, 6, 2, 6, 6, 6, 6, 5, 10, 10, 10, 10, 1, 10, 2, 1, 6, 10, 6, 10, 1, 6, 10, 2, 6, 10, 2, 10, 6, 10, 1, 1, 1, 2, 1, 10, 1, 1, 1, 1, 10, 2, 1, 2, 10, 10, 1, 6, 6, 2, 2, 6, 2, 10, 10, 10, 10, 6, 2, 1, 1, 6, 10, 1, 1, 5, 6, 2, 2, 1, 1, 6, 2, 6, 2, 10, 1, 2, 1, 1, 1, 2, 10, 10, 10, 1, 2, 6, 10, 1, 2, 2, 1, 1, 10, 2, 10, 1, 6, 2, 4, 1, 10, 2, 2, 6, 10, 1, 6, 6, 2, 1, 10, 2, 6, 1, 6, 1, 1, 2, 1, 6, 6, 2, 6, 2, 10, 1, 10, 6, 1, 2, 10, 2, 10, 10, 6, 6, 2, 10, 10, 6, 10, 10, 2, 1, 6, 6, 10, 6, 1, 1, 10, 6, 1, 2, 10, 6, 1, 6, 10, 6, 6, 2, 10, 6, 10, 2, 6, 1, 9, 6, 9, 10, 2, 10, 2, 2, 1, 2, 2, 2, 10, 2, 6, 1, 10, 1, 10, 1, 10, 5, 2, 6, 1, 10, 2, 2, 6, 1, 6, 2, 9, 1, 6, 10, 6, 1, 2, 10, 1, 1, 2, 6, 1, 10, 2, 1, 10, 1, 6, 6, 10, 1, 10, 2, 2, 10, 2, 6, 6, 2, 10, 10, 1, 1, 10, 6, 10, 10, 6, 6, 6, 1, 6, 10, 5, 2, 2, 2, 6, 6, 1, 2, 6, 10, 9, 6, 2, 10, 6, 1, 6, 2, 2, 2, 6, 10, 2, 1, 10, 0, 1, 1, 1, 10, 10, 1, 10, 6, 2, 1, 10, 2, 6, 10, 10, 5, 1, 2, 2, 2, 10, 2, 1, 10, 6, 2, 6, 2, 6, 10, 10, 10, 10, 2, 1, 2, 2, 10, 6, 1, 1, 0, 6, 1, 10, 10, 1, 2, 6, 6, 6, 10, 1, 6, 10, 10, 1, 10, 2, 1, 10, 6, 2, 6, 6, 2, 1, 10, 2, 2, 1, 10, 6, 10, 5, 1, 10, 2, 10, 2, 6, 2, 6, 6, 10, 2, 10, 10, 1, 6, 10, 5, 2, 10, 6, 1, 10, 6, 2, 6, 10, 1, 10, 10, 1, 1, 6, 2, 2, 10, 10, 10, 2, 1, 1, 2, 10, 2, 1, 2, 1, 6, 2, 6, 10, 10, 1, 6, 2, 1, 10, 2, 6, 10, 1, 1, 10, 6, 10, 10, 1, 10, 2, 2, 2, 10, 6, 1, 1, 1, 6, 6, 1, 10, 6, 2, 2, 1, 1, 10, 6, 9, 10, 2, 1, 2, 1, 1, 2, 10, 6, 2, 2, 2, 1, 2, 6, 10, 6, 1, 1, 6, 2, 1, 5, 1, 1, 2, 2, 6, 1, 2, 1, 2, 1, 0, 10, 6, 10, 1, 1, 1, 1, 0, 1, 6, 2, 6, 10, 10, 6, 1, 10, 6, 1, 6, 1, 10, 6, 1, 10, 2, 7, 1, 2, 2, 10, 6, 1, 6, 6, 1, 10, 6, 6, 2, 1, 6, 6, 1, 2, 4, 6, 10, 10, 2, 2, 4, 10, 2, 1, 2, 2, 1, 10, 1, 6, 2, 2, 6, 1, 6, 2, 10, 2, 2, 2, 1, 6, 1, 6, 10, 10, 2, 2, 0, 10, 1, 1, 2, 1, 2, 1, 1, 1, 6, 1, 6, 1, 6, 6, 1, 10, 5, 6, 1, 10, 6, 10, 2, 10, 2, 1, 10, 1, 6, 2, 10, 6, 2, 6, 10, 10, 6, 2, 1, 6, 5, 1, 1, 1, 6, 2, 10, 10, 1, 6, 10, 6, 6, 9, 1, 1, 6, 1, 10, 2, 10, 1, 2, 10, 10, 1, 10, 10, 6, 2, 10, 1, 10, 1, 6, 1, 1, 10, 1, 1, 10, 6, 6, 10, 1, 6, 2, 10, 6, 10, 10, 1, 10, 6, 2, 10, 10, 6, 2, 9, 1, 5, 1, 10, 10, 1, 0, 1, 10, 6, 2, 10, 6, 6, 1, 10, 2, 2, 10, 2, 6, 10, 10, 2, 6, 6, 10, 10, 6, 6, 6, 2, 10, 6, 2, 0, 1, 2, 2, 1, 1, 1, 6, 10, 1, 6, 2, 1, 6, 6, 6, 10, 10, 2, 1, 6, 2, 1, 6, 10, 2, 6, 1, 6, 2, 1, 1, 10, 2, 10, 6, 1, 2, 2, 1, 2, 10, 1, 4, 2, 10, 6, 10, 6, 10, 10, 10, 2, 2, 1, 10, 6, 1, 10, 10, 10, 2, 2, 6, 6, 2, 6, 10, 10, 1, 1, 1, 1, 6, 10, 2, 1, 2, 10, 2, 10, 10, 10, 6, 10, 2, 10, 10, 6, 2, 10, 6, 2, 2, 2, 6, 6, 10, 2, 6, 10, 2, 1, 2, 1, 2, 2, 6, 10, 1, 2, 2, 10, 2, 1, 10, 1, 2, 2, 1, 10, 6, 6, 10, 10, 6, 10, 1, 1, 6, 2, 2, 10, 1, 6, 2, 6, 6, 1, 2, 1, 2, 2, 2, 6, 2, 2, 1, 2, 1, 1, 6, 1, 6, 1, 6, 2, 10, 6, 6, 10, 2, 1, 2, 1, 1, 6, 2, 1, 10, 10, 2, 10, 10, 6, 10, 6, 1, 6, 6, 6, 2, 1, 2, 2, 2, 1, 1, 10, 10, 10, 6, 6, 1, 2, 2, 1, 6, 1, 2, 10, 10, 6, 2, 10, 2, 2, 10, 6, 10, 6, 1, 2, 1, 1, 1, 10, 10, 1, 1, 1, 10, 2, 2, 6, 1, 10, 1, 6, 1, 2, 0, 2, 1, 6, 10, 1, 2, 2, 6, 2, 2, 10, 6, 6, 6, 6, 1, 6, 10, 2, 1, 2, 1, 6, 2, 1, 2, 1, 10, 1, 1, 1, 2, 10, 10, 10, 2, 6, 2, 1, 6, 6, 1, 2, 2, 1, 6, 2, 6, 1, 1, 2, 9, 6, 6, 1, 2, 1, 6, 6, 6, 4, 6, 6, 1, 10, 6, 1, 1, 2, 1, 1, 6, 6, 6, 6, 2, 1, 2, 10, 6, 2, 10, 10, 2, 6, 1, 2, 6, 1, 1, 2, 6, 10, 10, 10, 2, 0, 2, 10, 2, 0, 10, 1, 1, 6, 1, 1, 10, 10, 2, 1, 1, 1, 6, 2, 2, 1, 6, 1, 1, 6, 6, 2, 1, 2, 2, 1, 2, 6, 2, 2, 1, 1, 6, 6, 6, 1, 10, 6, 10, 6, 1, 6, 2, 10, 2, 10, 6, 1, 10, 1, 10, 2, 2, 10, 1, 10, 2, 10, 6, 2, 10, 6, 6, 10, 6, 10, 6, 1, 2, 1, 2, 6, 2, 6, 2, 10, 10, 10, 0, 2, 2, 6, 6, 1, 10, 10, 1, 6, 1, 2, 10, 10, 10, 2, 1, 2, 9, 1, 2, 9, 1, 10, 10, 1, 10, 10, 1, 4, 6, 2, 10, 10, 1, 10, 2, 10, 1, 2, 2, 6, 1, 2, 10, 6, 1, 6, 10, 6, 6, 10, 0, 6, 10, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 10, 1, 6, 1, 10, 4, 10, 10, 6, 6, 1, 6, 2, 10, 6, 0, 6, 2, 1, 0, 2, 2, 1, 2, 6, 2, 2, 2, 10, 6, 1, 2, 1, 2, 10, 2, 6, 10, 2, 6, 1, 2, 1, 6, 2, 10, 1, 6, 1, 6, 10, 5, 10, 10, 6, 6, 10, 6, 2, 1, 1, 2, 2, 6, 1, 2, 1, 6, 1, 6, 10, 2, 2, 6, 2, 1, 5, 6, 10, 5, 6, 1, 10, 10, 10, 2, 4, 6, 10, 1, 1, 1, 2, 1, 6, 2, 6, 6, 10, 6, 2, 2, 10, 1, 1, 1, 5, 1, 10, 1, 2, 0, 6, 1, 2, 2, 2, 6, 6, 10, 6, 1, 6, 10, 2, 10, 4, 10, 10, 6, 10, 1, 1, 1, 6, 10, 1, 6, 1, 6, 10, 6, 1, 6, 6, 6, 2, 10, 1, 6, 1, 6, 1, 2, 6, 6, 1, 10, 6, 10, 6, 2, 2, 6, 2, 9, 6, 2, 10, 1, 10, 1, 10, 10, 2, 10, 6, 6, 10, 6, 6, 2, 10, 10, 6, 6, 2, 10, 10, 10, 2, 6, 1, 2, 1, 1, 10, 10, 10, 2, 2, 2, 2, 10, 2, 10, 2, 10, 6, 6, 2, 2, 1, 0, 10, 6, 6, 1, 10, 2, 6, 2, 6, 0, 6, 1, 6, 10, 10, 4, 10, 6, 2, 6, 9, 10, 1, 2, 2, 6, 10, 2, 1, 2, 1, 6, 10, 1, 6, 2, 1, 6, 10, 2, 10, 10, 6, 1, 9, 1, 2, 1, 2, 10, 10, 1, 6, 10, 6, 6, 6, 2, 6, 10, 6, 10, 10, 2, 1, 9, 1, 2, 10, 6, 6, 10, 10, 1, 1, 6, 1, 10, 6, 1, 10, 1, 2, 2, 10, 6, 2, 1, 10, 1, 6, 2, 1, 6, 2, 1, 10, 1, 2, 10, 1, 10, 2, 1, 6, 2, 1, 6, 1, 10, 1, 2, 6, 2, 6, 6, 10, 10, 10, 6, 2, 10, 1, 6, 6, 2, 2, 2, 1, 10, 2, 6, 10, 6, 2, 10, 1, 5, 10, 2, 1, 2, 6, 10, 6, 10, 1, 10, 2, 1, 1, 1, 10, 6, 2, 6, 10, 1, 2, 6, 2, 2, 2, 6, 2, 1, 10, 2, 1, 0, 10, 2, 1, 10, 2, 6, 10, 1, 1, 10, 1, 1, 2, 6, 2, 1, 10, 2, 1, 1, 2, 2, 1, 6, 1, 10, 6, 10, 1, 10, 2, 4, 2, 10, 1, 6, 1, 6, 10, 2, 2, 1, 1, 2, 6, 6, 10, 10, 10, 1, 2, 2, 1, 9, 1, 1, 6, 10, 2, 1, 6, 6, 2, 1, 10, 10, 6, 1, 10, 2, 6, 2, 5, 6, 6, 4, 0, 1, 1, 1, 6, 0, 2, 2, 1, 1, 6, 6, 6, 6, 10, 10, 2, 6, 2, 2, 6, 1, 6, 1, 1, 6, 6, 1, 6, 1, 10, 2, 1, 2, 2, 1, 6, 1, 10, 10, 1, 1, 10, 1, 1, 2, 1, 6, 9, 6, 2, 1, 6, 2, 2, 10, 1, 2, 1, 2, 10, 2, 0, 2, 6, 10, 1, 10, 6, 10, 2, 1, 1, 6, 1, 6, 1, 6, 6, 10, 1, 2, 2, 1, 6, 10, 10, 10, 10, 1, 6, 10, 2, 2, 2, 1, 10, 10, 9, 10, 10, 2, 10, 10, 2, 9, 10, 10, 1, 2, 1, 1, 2, 1, 2, 10, 2, 6, 2, 6, 5, 10, 2, 10, 6, 1, 1, 10, 6, 6, 1, 6, 10, 2, 10, 2, 1, 10, 1, 10, 10, 6, 6, 10, 2, 2, 1, 1, 1, 1, 1, 10, 1, 6, 2, 6, 2, 10, 2, 2, 10, 6, 1, 1, 6, 1, 6, 2, 1, 10, 1, 6, 1, 10, 2, 10, 6, 2, 2, 10, 1, 6, 1, 1, 5, 6, 6, 6, 6, 10, 6, 2, 1, 6, 6, 1, 6, 1, 10, 1, 10, 10, 2, 2, 0, 6, 10, 2, 10, 1, 2, 1, 1, 2, 2, 1, 6, 1, 1, 1, 6, 6, 2, 1, 1, 10, 1, 6, 2, 10, 6, 6, 2, 1, 1, 6, 6, 2, 6, 10, 6, 6, 6, 10, 10, 6, 10, 10, 6, 1, 6, 1, 5, 2, 2, 1, 1, 2, 2, 2, 10, 2, 1, 6, 6, 2, 10, 1, 10, 1, 10, 10, 10, 6, 6, 1, 2, 1, 10, 2, 1, 6, 6, 0, 10, 1, 2, 2, 10, 2, 6, 6, 9, 1, 6, 2, 10, 2, 6, 2, 2, 10, 10, 10, 6, 1, 6, 1, 1, 6, 6, 2, 6, 5, 10, 10, 1, 6, 6, 6, 1, 6, 6, 10, 6, 10, 6, 1, 6, 1, 1, 6, 10, 10, 10, 2, 2, 1, 2, 2, 1, 10, 6, 6, 6, 2, 10, 10, 10, 2, 4, 6, 6, 2, 6, 10, 2, 2, 1, 10, 1, 2, 1, 6, 10, 2, 1, 1, 6, 6, 10, 2, 1, 10, 1, 1, 10, 10, 6, 6, 10, 2, 2, 10, 1, 6, 6, 2, 2, 6, 10, 2, 2, 6, 9, 6, 6, 6, 10, 9, 2, 2, 10, 10, 10, 1, 10, 1, 2, 6, 2, 2, 6, 2, 1, 2, 6, 10, 1, 6, 2, 1, 4, 0, 2, 1, 1, 6, 6, 6, 6, 10, 2, 2, 9, 1, 2, 2, 5, 1, 6, 6, 2, 6, 1, 6, 1, 10, 10, 10, 2, 6, 2, 2, 6, 0, 10, 2, 10, 10, 2, 1, 2, 1, 2, 10, 1, 1, 6, 10, 1, 1, 9, 10, 2, 10, 2, 6, 1, 1, 6, 2, 2, 10, 10, 2, 6, 1, 2, 1, 2, 2, 10, 10, 6, 10, 6, 6, 10, 2, 1, 10, 9, 2, 6, 6, 2, 6, 6, 1, 2, 2, 6, 6, 2, 2, 1, 6, 1, 10, 10, 6, 1, 1, 10, 2, 1, 2, 2, 10, 1, 10, 10, 10, 1, 10, 2, 6, 2, 6, 10, 1, 10, 6, 1, 6, 10, 1, 10, 2, 2, 6, 1, 6, 10, 2, 10, 1, 6, 2, 10, 2, 1, 1, 6, 2, 2, 10, 10, 10, 10, 2, 6, 10, 6, 2, 2, 1, 0, 2, 6, 2, 6, 6, 2, 6, 6, 10, 6, 5, 6, 2, 1, 6, 10, 10, 2, 6, 6, 1, 2, 1, 6, 10, 2, 10, 2, 2, 10, 6, 2, 6, 10, 2, 1, 6, 6, 1, 6, 6, 6, 6, 1, 2, 2, 10, 2, 10, 10, 0, 1, 6, 2, 1, 10, 2, 10, 1, 1, 6, 2, 2, 10, 6, 2, 1, 1, 10, 6, 5, 10, 2, 1, 10, 2, 10, 10, 10, 10, 1, 6, 2, 10, 1, 10, 10, 6, 1, 10, 2, 6, 6, 2, 10, 10, 1, 2, 10, 10, 10, 2, 10, 2, 1, 6, 10, 10, 2, 1, 2, 1, 1, 10, 1, 6, 10, 6, 2, 2, 10, 1, 6, 2, 10, 1, 2, 10, 6, 6, 1, 2, 10, 1, 10, 10, 10, 2, 10, 6, 10, 10, 2, 1, 6, 1, 6, 6, 1, 0, 1, 10, 1, 2, 9, 10, 1, 1, 1, 6, 10, 2, 10, 2, 10, 6, 2, 2, 1, 10, 1, 2, 2, 6, 2, 6, 10, 10, 2, 10, 1, 1, 2, 10, 10, 2, 10, 1, 1, 2, 10, 10, 1, 2, 1, 2, 10, 2, 6, 6, 1, 6, 10, 2, 10, 1, 1, 6, 10, 10, 10, 1, 6, 6, 6, 2, 10, 6, 6, 2, 10, 2, 1, 2, 10, 1, 10, 2, 6, 6, 6, 1, 2, 6, 1, 1, 2, 7, 0, 10, 0, 6, 2, 1, 1, 10, 10, 10, 2, 6, 6, 10, 1, 6, 10, 1, 6, 1, 2, 10, 1, 2, 1, 10, 6, 10, 1, 1, 6, 6, 6, 1, 6, 6, 1, 1, 6, 6, 1, 6, 10, 2, 6, 2, 1, 1, 1, 2, 6, 6, 1, 2, 2, 10, 2, 2, 6, 1, 2, 1, 6, 5, 6, 10, 10, 2, 1, 2, 1, 6, 6, 1, 2, 6, 2, 10, 2, 10, 2, 2, 6, 6, 10, 0, 1, 10, 2, 2, 2, 1, 10, 6, 6, 1, 6, 6, 1, 2, 1, 2, 6, 1, 1, 6, 2, 2, 1, 6, 10, 0, 2, 6, 6, 10, 1, 10, 1, 10, 2, 10, 6, 6, 2, 6, 2, 6, 6, 2, 2, 10, 1, 1, 10, 6, 2, 6, 1, 6, 2, 2, 1, 1, 10, 6, 6, 2, 10, 6, 5, 2, 6, 10, 10, 1, 1, 6, 6, 2, 6, 2, 2, 1, 6, 10, 6, 1, 1, 2, 6, 6, 6, 2, 1, 1, 10, 6, 10, 1, 6, 6, 6, 2, 2, 1, 2, 2, 1, 2, 10, 1, 10, 2, 1, 2, 6, 2, 6, 6, 2, 1, 6, 6, 10, 2, 1, 1, 5, 2, 2, 2, 1, 2, 2, 2, 9, 2, 2, 6, 10, 1, 2, 2, 2, 6, 2, 1, 10, 6, 6, 2, 10, 10, 1, 6, 2, 1, 10, 1, 6, 1, 1, 6, 5, 2, 1, 10, 1, 10, 1, 1, 2, 10, 1, 2, 10, 10, 2, 6, 10, 1, 10, 6, 2, 10, 2, 2, 10, 2, 10, 4, 2, 6, 6, 1, 10, 1, 1, 6, 10, 2, 5, 1, 10, 6, 2, 10, 1, 6, 2, 10, 1, 2, 10, 2, 2, 10, 1, 6, 6, 1, 1, 1, 10, 6, 10, 10, 1, 2, 1, 6, 2, 10, 10, 1, 10, 2, 10, 9, 6, 6, 10, 1, 10, 1, 1, 10, 1, 10, 6, 10, 6, 6, 1, 6, 6, 10, 6, 2, 1, 6, 2, 1, 6, 6, 6, 2, 10, 2, 2, 2, 1, 10, 10, 1, 10, 1, 1, 2, 6, 1, 6, 2, 2, 1, 2, 2, 2, 2, 6, 6, 10, 2, 6, 6, 6, 2, 2, 6, 10, 2, 6, 2, 10, 10, 6, 10, 6, 2, 2, 6, 1, 1, 2, 10, 1, 0, 10, 2, 2, 6, 1, 6, 2, 10, 6, 10, 2, 2, 1, 1, 1, 6, 1, 1, 2, 6, 10, 2, 1, 0, 6, 2, 9, 10, 5, 6, 1, 1, 10, 1, 1, 1, 1, 10, 10, 6, 2, 1, 2, 2, 2, 10, 2, 1, 10, 1, 10, 2, 1, 2, 1, 1, 10, 2, 6, 6, 2, 10, 2, 6, 2, 10, 6, 2, 1, 6, 2, 2, 2, 10, 10, 2, 10, 1, 10, 2, 1, 2, 6, 2, 10, 10, 10, 10, 6, 10, 1, 1, 10, 2, 10, 1, 2, 6, 10, 6, 10, 1, 1, 6, 10, 2, 2, 1, 2, 1, 1, 2, 6, 6, 10, 2, 2, 2, 4, 2, 2, 10, 6, 6, 10, 2, 1, 10, 2, 6, 10, 6, 6, 1, 10, 10, 10, 10, 10, 5, 1, 6, 6, 1, 6, 1, 10, 2, 1, 10, 10, 10, 1, 10, 2, 2, 2, 6, 6, 6, 6, 2, 1, 2, 6, 10, 6, 2, 6, 1, 1, 6, 10, 6, 10, 10, 10, 6, 10, 6, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 10, 10, 0, 0, 10, 6, 10, 1, 2, 2, 1, 10, 10, 1, 9, 2, 6, 6, 10, 1, 2, 1, 1, 6, 2, 1, 2, 1, 2, 2, 6, 10, 6, 6, 2, 2, 10, 1, 2, 2, 5, 0, 2, 6, 10, 10, 6, 2, 2, 2, 10, 10, 10, 6, 4, 1, 6, 6, 2, 0, 6, 10, 10, 10, 1, 6, 6, 2, 6, 6, 6, 10, 2, 6, 9, 1, 2, 10, 10, 6, 10, 10, 2, 1, 10, 1, 2, 6, 2, 1, 1, 2, 10, 5, 6, 2, 2, 2, 6, 10, 6, 6, 10, 1, 10, 1, 2, 6, 2, 2, 1, 0, 6, 10, 6, 1, 6, 2, 1, 10, 10, 10, 10, 2, 1, 1, 1, 10, 6, 2, 6, 1, 6, 10, 6, 2, 1, 6, 2, 1, 1, 6, 2, 2, 2, 10, 6, 1, 9, 1, 6, 10, 1, 2, 2, 4, 10, 6, 10, 10, 10, 10, 40, 1, 6, 2, 5, 10, 10, 10, 2, 1, 1, 1, 2, 5, 10, 4, 10, 6, 1, 1, 2, 10, 5, 6, 1, 10, 2, 2, 2, 2, 6, 10, 2, 1, 6, 2, 2, 10, 2, 1, 6, 10, 6, 2, 2, 1, 6, 6, 6, 6, 10, 2, 6, 10, 2, 2, 6, 6, 6, 2, 10, 10, 2, 6, 2, 6, 6, 6, 2, 6, 6, 2, 6, 6, 2, 2, 6, 1, 0, 10, 6, 6, 0, 2, 2, 6, 2, 1, 6, 10, 1, 6, 2, 6, 2, 2, 4, 2, 6, 10, 6, 2, 1, 1, 1, 1, 6, 6, 6, 6, 2, 2, 6, 2, 1, 6, 10, 9, 10, 6, 6, 2, 6, 6, 10, 1, 10, 2, 10, 1, 1, 1, 6, 2, 2, 10, 10, 10, 1, 10, 1, 1, 4, 9, 6, 2, 10, 6, 10, 10, 1, 2, 6, 5, 6, 2, 10, 9, 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10, 2, 2, 10, 1, 1, 6, 1, 2, 2, 10, 2, 10, 1, 6, 2, 6, 10, 10, 6, 10, 10, 6, 1, 10, 2, 10, 10, 1, 10, 1, 6, 6, 6, 1, 10, 2, 6, 10, 2, 2, 2, 10, 10, 10, 6, 1, 5, 2, 6, 6, 1, 2, 2, 1, 6, 1, 6, 1, 10, 1, 2, 1, 2, 2, 10, 10, 2, 10, 10, 2, 6, 10, 6, 6, 1, 2, 6, 1, 2, 10, 10, 6, 2, 1, 2, 6, 10, 6, 6, 10, 1, 1, 10, 1, 10, 10, 6, 10, 6, 6, 1, 6, 2, 1, 2, 10, 6, 2, 6, 1, 1, 1, 10, 1, 10, 2, 6, 2, 6, 6, 2, 1, 10, 6, 6, 1, 6, 10, 10, 6, 2, 1, 10, 1, 10, 10, 6, 1, 2, 6, 10, 10, 2, 2, 2, 1, 1, 10, 6, 10, 2, 2, 2, 9, 1, 2, 2, 10, 1, 10, 10, 6, 10, 10, 10, 1, 5, 6, 6, 2, 6, 0, 2, 10, 2, 10, 6, 6, 2, 10, 1, 1, 1, 1, 1, 6, 1, 6, 6, 9, 10, 1, 1, 10, 1, 10, 2, 4, 2, 0, 6, 10, 1, 6, 2, 2, 6, 1, 10, 2, 10, 6, 10, 10, 10, 2, 10, 1, 2, 2, 10, 2, 2, 1, 1, 6, 1, 10, 10, 6, 1, 10, 2, 2, 2, 2, 6, 2, 2, 6, 2, 1, 10, 2, 6, 2, 6, 9, 10, 2, 2, 10, 10, 6, 6, 10, 10, 2, 6, 1, 1, 6, 10, 4, 2, 2, 1, 6, 10, 2, 2, 1, 6, 10, 10, 1, 6, 10, 2, 2, 10, 2, 2, 6, 1, 1, 2, 10, 1, 1, 6, 6, 1, 10, 1, 1, 6, 2, 1, 10, 6, 10, 6, 10, 1, 10, 2, 10, 2, 6, 2, 10, 0, 2, 0, 2, 0, 6, 6, 2, 10, 1, 1, 1, 2, 1, 6, 2, 1, 10, 10, 2, 10, 2, 10, 6, 6, 6, 10, 2, 0, 2, 6, 2, 2, 2, 6, 1, 2, 2, 10, 10, 1, 10, 2, 2, 10, 1, 1, 10, 2, 10, 6, 6, 6, 6, 10, 10, 10, 1, 1, 2, 6, 2, 6, 10, 1, 1, 1, 6, 10, 1, 2, 10, 6, 6, 6, 2, 2, 10, 2, 6, 6, 6, 2, 2, 1, 6, 2, 10, 10, 6, 6, 2, 1, 10, 6, 6, 10, 2, 1, 1, 6, 6, 6, 2, 1, 2, 6, 6, 1, 6, 6, 1, 2, 1, 10, 10, 1, 10, 1, 10, 2, 10, 2, 6, 10, 6, 6, 2, 1, 2, 10, 0, 4, 1, 10, 1, 10, 6, 1, 10, 10, 10, 1, 1, 10, 1, 6, 10, 6, 10, 10, 1, 2, 1, 6, 2, 1, 1, 1, 2, 6, 6, 10, 6, 0, 6, 1, 1, 10, 10, 10, 2, 6, 6, 6, 10, 2, 1, 2, 5, 2, 1, 10, 10, 4, 1, 10, 2, 2, 6, 10, 6, 10, 10, 6, 2, 2, 2, 1, 10, 10, 1, 6, 1, 6, 1, 10, 2, 0, 1, 6, 6, 1, 6, 1, 2, 1, 6, 10, 10, 1, 10, 2, 10, 1, 2, 6, 10, 2, 10, 10, 2, 2, 1, 6, 1, 6, 10, 10, 2, 1, 1, 2, 10, 2, 10, 1, 2, 6, 10, 6, 10, 1, 6, 2, 10, 2, 6, 1, 1, 1, 10, 6, 1, 2, 6, 10, 6, 1, 2, 10, 10, 10, 10, 2, 1, 6, 1, 6, 0, 2, 6, 2, 10, 2, 2, 6, 10, 6, 10, 6, 6, 1, 2, 10, 2, 2, 2, 1, 10, 10, 2, 6, 10, 6, 10, 2, 10, 6, 1, 10, 2, 10, 1, 10, 6, 1, 2, 1, 2, 6, 6, 6, 10, 2, 6, 6, 6, 2, 2, 1, 6, 1, 1, 10, 6, 1, 1, 2, 10, 10, 10, 10, 2, 10, 10, 2, 10, 2, 1, 1, 10, 6, 6, 10, 2, 6, 2, 2, 10, 6, 10, 1, 2, 6, 2, 1, 2, 2, 2, 1, 10, 2, 1, 1, 2, 2, 1, 2, 2, 2, 6, 2, 1, 6, 5, 10, 6, 6, 2, 1, 1, 1, 6, 6, 2, 10, 2, 2, 10, 2, 2, 10, 6, 6, 1, 6, 2, 1, 1, 2, 1, 1, 6, 6, 2, 6, 6, 1, 10, 6, 2, 1, 10, 1, 10, 6, 6, 2, 2, 4, 1, 2, 6, 1, 10, 10, 2, 1, 6, 10, 6, 10, 2, 10, 2, 10, 1, 6, 2, 6, 10, 2, 1, 2, 2, 10, 6, 2, 6, 1, 2, 6, 1, 6, 10, 10, 6, 10, 6, 6, 10, 10, 1, 2, 2, 1, 2, 1, 1, 10, 10, 10, 1, 2, 1, 6, 10, 6, 2, 1, 6, 1, 2, 6, 1, 6, 2, 1, 1, 6, 1, 10, 2, 1, 1, 1, 10, 1, 1, 1, 10, 2, 6, 10, 1, 6, 10, 1, 10, 1, 6, 2, 10, 10, 10, 1, 10, 6, 1, 2, 10, 0, 1, 1, 2, 1, 6, 6, 10, 2, 10, 2, 1, 2, 6, 1, 6, 1, 1, 5, 10, 2, 6, 6, 1, 6, 6, 1, 10, 6, 2, 0, 1, 6, 1, 6, 2, 6, 10, 40, 1, 1, 1, 6, 6, 1, 6, 10, 6, 10, 10, 10, 6, 6, 1, 10, 1, 10, 6, 10, 2, 2, 1, 1, 6, 6, 6, 10, 10, 10, 10, 10, 6, 6, 6, 6, 10, 10, 2, 6, 6, 1, 1, 6, 6, 6, 1, 2, 6, 6, 1, 1, 1, 1, 1, 6, 1, 1, 2, 2, 6, 6, 6, 10, 10, 2, 1, 1, 0, 2, 1, 1, 6, 1, 6, 2, 10, 1, 6, 1, 6, 10, 2, 2, 10, 1, 2, 6, 6, 2, 6, 2, 2, 1, 6, 6, 2, 10, 2, 10, 1, 6, 6, 10, 10, 10, 6, 6, 5, 10, 6, 1, 10, 1, 1, 1, 10, 6, 2, 1, 10, 2, 2, 2, 10, 10, 6, 1, 10, 2, 6, 2, 0, 1, 2, 6, 1, 10, 2, 2, 10, 6, 1, 10, 2, 1, 6, 6, 10, 10, 10, 2, 2, 10, 2, 1, 9, 2, 6, 10, 10, 1, 10, 10, 2, 2, 2, 1, 4, 10, 1, 2, 6, 2, 10, 2, 2, 10, 6, 1, 6, 1, 2, 6, 10, 6, 2, 1, 2, 10, 2, 2, 6, 1, 2, 2, 10, 10, 10, 1, 2, 1, 1, 10, 0, 1, 10, 2, 4, 6, 6, 6, 10, 1, 6, 1, 2, 2, 10, 10, 6, 1, 10, 1, 1, 6, 6, 10, 10, 1, 2, 2, 2, 2, 2, 2, 2, 1, 6, 2, 1, 2, 2, 5, 6, 1, 6, 10, 1, 2, 10, 9, 2, 2, 10, 2, 1, 1, 2, 10, 6, 10, 6, 6, 6, 6, 2, 10, 6, 6, 1, 1, 0, 10, 6, 6, 2, 1, 2, 1, 10, 10, 10, 5, 2, 2, 6, 4, 10, 6, 10, 6, 1, 10, 2, 10, 2, 1, 1, 6, 1, 1, 10, 1, 10, 6, 10, 10, 2, 1, 1, 2, 1, 2, 6, 6, 10, 2, 6, 10, 2, 1, 10, 6, 2, 2, 6, 1, 1, 10, 1, 2, 6, 10, 6, 2, 2, 1, 1, 1, 1, 2, 10, 1, 10, 6, 2, 1, 10, 1, 1, 6, 1, 6, 1, 1, 1, 2, 10, 6, 10, 1, 2, 6, 6, 6, 60, 1, 2, 6, 6, 6, 6, 4, 2, 2, 6, 1, 1, 6, 10, 2, 10, 6, 2, 2, 1, 10, 5, 10, 2, 10, 1, 2, 10, 10, 1, 0, 10, 2, 6, 6, 6, 1, 10, 1, 1, 10, 6, 10, 6, 6, 1, 1, 6, 1, 1, 4, 6, 6, 6, 2, 10, 6, 10, 6, 6, 1, 6, 1, 6, 1, 2, 10, 1, 2, 2, 4, 2, 2, 10, 1, 2, 2, 6, 6, 1, 1, 10, 10, 10, 6, 10, 6, 2, 2, 1, 2, 1, 4, 10, 6, 10, 5, 2, 1, 10, 10, 10, 6, 0, 10, 1, 6, 6, 1, 0, 2, 2, 0, 2, 10, 10, 1, 6, 10, 10, 1, 1, 1, 2, 10, 5, 6, 2, 2, 6, 6, 10, 10, 2, 6, 10, 10, 1, 10, 2, 6, 10, 6, 6, 10, 10, 1, 2, 1, 6, 10, 1, 1, 1, 6, 6, 6, 10, 1, 10, 5, 10, 6, 1, 6, 6, 1, 2, 2, 0, 2, 6, 10, 1, 6, 6, 2, 6, 6, 10, 2, 1, 1, 1, 1, 10, 1, 1, 6, 1, 1, 10, 2, 4, 10, 2, 2, 2, 1, 10, 2, 1, 2, 1, 5, 10, 1, 10, 6, 2, 1, 3, 6, 6, 2, 2, 1, 10, 10, 6, 6, 6, 6, 2, 2, 2, 1, 2, 1, 1, 6, 10, 2, 1, 2, 1, 6, 1, 10, 1, 6, 1, 2, 0, 2, 6, 1, 10, 10, 1, 6, 2, 6, 6, 6, 6, 6, 2, 6, 2, 6, 2, 6, 2, 1, 6, 0, 1, 2, 1, 2, 6, 1, 10, 10, 6, 6, 1, 10, 1, 2, 1, 9, 6, 10, 1, 6, 2, 2, 6, 10, 10, 6, 0, 1, 2, 6, 10, 2, 2, 2, 10, 1, 2, 1, 10, 2, 1, 10, 2, 1, 2, 10, 1, 1, 6, 4, 1, 1, 6, 1, 2, 6, 6, 4, 4, 1, 6, 10, 2, 1, 2, 1, 1, 2, 6, 10, 1, 6, 2, 2, 1, 2, 6, 6, 10, 1, 10, 1, 10, 10, 6, 10, 10, 6, 1, 10, 2, 10, 2, 2, 2, 2, 1, 6, 1, 1, 2, 2, 2, 6, 6, 1, 10, 6, 1, 6, 10, 1, 10, 2, 10, 1, 10, 2, 1, 10, 6, 2, 1, 1, 2, 10, 2, 10, 10, 6, 6, 1, 10, 10, 2, 6, 9, 10, 6, 10, 6, 6, 10, 10, 1, 2, 1, 1, 10, 6, 6, 6, 4, 1, 2, 10, 6, 1, 1, 1, 10, 10, 6, 1, 1, 6, 1, 10, 6, 1, 1, 1, 1, 1, 1, 6, 1, 10, 6, 2, 6, 1, 9, 6, 2, 6, 2, 10, 1, 1, 2, 1, 2, 1, 10, 1, 2, 6, 10, 1, 6, 6, 2, 2, 10, 2, 10, 1, 6, 6, 1, 6, 10, 9, 10, 1, 2, 2, 10, 10, 6, 4, 6, 10, 10, 2, 6, 1, 6, 2, 10, 9, 2, 2, 6, 2, 6, 6, 10, 6, 6, 2, 1, 6, 6, 6, 2, 6, 1, 2, 10, 6, 10, 6, 2, 10, 1, 1, 10, 1, 2, 1, 2, 6, 1, 1, 2, 2, 6, 6, 2, 10, 1, 9, 1, 6, 10, 1, 2, 6, 1, 10, 2, 6, 2, 2, 1, 2, 10, 2, 6, 6, 10, 2, 2, 1, 10, 6, 10, 2, 10, 2, 2, 2, 10, 6, 1, 1, 6, 6, 1, 1, 1, 6, 1, 6, 6, 6, 10, 1, 1, 2, 1, 10, 1, 2, 10, 6, 10, 2, 6, 1, 1, 2, 2, 1, 6, 2, 2, 2, 6, 1, 1, 6, 1, 10, 9, 2, 10, 6, 6, 1, 1, 1, 1, 1, 6, 10, 1, 6, 1, 2, 0, 6, 6, 2, 2, 6, 6, 1, 10, 1, 2, 1, 2, 1, 1, 2, 1, 10, 2, 10, 10, 10, 2, 1, 2, 6, 2, 2, 10, 1, 6, 1, 6, 10, 1, 2, 1, 2, 6, 1, 2, 6, 6, 2, 6, 6, 1, 6, 6, 10, 1, 1, 1, 1, 6, 10, 1, 2, 6, 6, 2, 4, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 6, 10, 6, 1, 2, 1, 2, 2, 1, 6, 2, 6, 9, 10, 10, 6, 1, 10, 1, 10, 2, 2, 10, 4, 6, 10, 1, 1, 6, 2, 1, 2, 6, 1, 2, 6, 10, 1, 6, 6, 4, 6, 10, 2, 2, 0, 2, 2, 1, 8, 6, 2, 6, 10, 10, 2, 0, 1, 6, 2, 10, 6, 6, 1, 6, 2, 10, 1, 1, 2, 1, 6, 2, 6, 2, 1, 2, 1, 10, 10, 2, 2, 2, 10, 10, 2, 1, 2, 2, 10, 2, 10, 6, 1, 2, 2, 10, 10, 1, 6, 2, 1, 6, 1, 0, 1, 6, 6, 10, 6, 2, 2, 10, 6, 10, 6, 2, 1, 10, 10, 10, 1, 6, 1, 10, 2, 2, 1, 0, 2, 1, 1, 10, 6, 2, 6, 2, 6, 6, 1, 6, 10, 1, 6, 6, 10, 6, 10, 10, 1, 1, 2, 1, 1, 6, 10, 1, 2, 6, 6, 2, 1, 4, 10, 10, 6, 10, 2, 6, 6, 2, 6, 6, 10, 6, 1, 10, 6, 1, 10, 10, 1, 1, 1, 2, 10, 2, 6, 10, 6, 2, 1, 6, 1, 6, 2, 6, 4, 10, 1, 10, 10, 10, 10, 1, 6, 2, 1, 6, 2, 10, 2, 2, 1, 10, 2, 10, 6, 6, 6, 10, 10, 6, 1, 10, 2, 5, 10, 6, 2, 2, 1, 2, 6, 6, 2, 1, 6, 1, 10, 6, 1, 1, 6, 6, 2, 6, 1, 2, 6, 6, 6, 10, 6, 2, 6, 5, 1, 1, 2, 6, 1, 10, 2, 6, 1, 2, 2, 1, 6, 2, 10, 6, 10, 1, 2, 1, 6, 6, 6, 10, 10, 6, 6, 10, 10, 1, 2, 2, 6, 10, 6, 2, 6, 2, 2, 10, 10, 6, 2, 2, 10, 1, 6, 2, 6, 6, 1, 10, 2, 10, 6, 2, 2, 10, 1, 6, 10, 10, 6, 1, 1, 6, 6, 1, 10, 10, 1, 10, 4, 2, 5, 1, 4, 6, 10, 10, 1, 6, 6, 10, 6, 10, 1, 6, 1, 1, 2, 1, 6, 10, 2, 10, 6, 1, 10, 2, 6, 2, 10, 6, 6, 10, 6, 2, 2, 1, 1, 6, 2, 6, 1, 10, 1, 1, 2, 2, 1, 10, 1, 2, 6, 1, 6, 10, 1, 6, 6, 10, 10, 2, 6, 10, 2, 4, 6, 2, 1, 6, 2, 1, 2, 2, 10, 1, 6, 1, 1, 2, 2, 6, 2, 6, 1, 6, 10, 6, 10, 1, 4, 10, 1, 6, 10, 2, 1, 6, 2, 1, 5, 1, 0, 1, 1, 2, 1, 6, 2, 2, 6, 6, 6, 6, 6, 10, 10, 6, 1, 6, 2, 2, 6, 2, 2, 2, 9, 10, 1, 1, 2, 1, 10, 1, 2, 2, 2, 6, 1, 10, 2, 2, 6, 1, 2, 6, 10, 2, 6, 6, 1, 6, 0, 2, 10, 2, 6, 6, 6, 10, 1, 6, 2, 1, 1, 1, 1, 1, 6, 10, 2, 10, 10, 6, 1, 1, 1, 1, 6, 1, 10, 10, 6, 6, 6, 2, 6, 1, 6, 6, 10, 6, 6, 6, 1, 1, 2, 10, 6, 1, 6, 2, 6, 2, 2, 10, 6, 6, 2, 2, 2, 1, 2, 6, 10, 10, 10, 10, 2, 2, 2, 2, 10, 6, 1, 2, 6, 0, 6, 6, 2, 1, 6, 10, 10, 10, 6, 10, 1, 2, 10, 1, 2, 10, 2, 1, 10, 1, 2, 10, 1, 1, 1, 1, 2, 1, 2, 1, 10, 10, 2, 1, 1, 6, 1, 1, 2, 2, 1, 2, 9, 2, 1, 10, 2, 6, 1, 2, 4, 1, 6, 1, 1, 1, 6, 2, 1, 1, 1, 2, 2, 10, 2, 1, 6, 6, 6, 2, 2, 10, 10, 2, 1, 10, 9, 1, 1, 2, 10, 2, 10, 6, 10, 10, 9, 2, 1, 9, 10, 2, 2, 1, 2, 2, 1, 1, 6, 2, 2, 10, 2, 10, 10, 1, 6, 6, 6, 2, 10, 6, 1, 6, 6, 10, 6, 6, 6, 1, 1, 1, 2, 1, 10, 6, 1, 2, 4, 10, 6, 2, 2, 6, 4, 1, 1, 2, 6, 6, 2, 6, 1, 1, 2, 2, 10, 1, 1, 2, 2, 10, 1, 2, 1, 6, 6, 1, 10, 6, 6, 6, 10, 6, 10, 6, 10, 10, 6, 6, 2, 2, 6, 2, 6, 6, 6, 2, 10, 2, 2, 6, 10, 6, 1, 6, 10, 6, 1, 2, 2, 2, 10, 10, 1, 6, 1, 2, 10, 1, 10, 6, 1, 1, 10, 1, 2, 6, 0, 6, 2, 10, 6, 10, 10, 2, 0, 10, 1, 6, 10, 1, 10, 1, 10, 2, 2, 2, 1, 10, 6, 2, 10, 10, 6, 2, 10, 1, 6, 10, 6, 10, 1, 2, 2, 10, 2, 10, 1, 10, 10, 10, 10, 6, 1, 2, 1, 6, 2, 10, 10, 6, 1, 2, 2, 6, 10, 10, 10, 6, 1, 6, 6, 10, 1, 1, 6, 1, 10, 10, 2, 10, 10, 1, 10, 6, 10, 1, 10, 2, 2, 2, 6, 2, 6, 9, 6, 6, 1, 6, 6, 6, 1, 6, 6, 9, 2, 10, 6, 2, 10, 10, 10, 5, 6, 6, 6, 1, 2, 1, 5, 2, 1, 6, 10, 10, 2, 9, 10, 2, 6, 6, 2, 6, 10, 6, 10, 6, 2, 2, 2, 1, 6, 10, 6, 6, 2, 2, 10, 6, 2, 1, 6, 10, 2, 10, 1, 6, 1, 6, 2, 10, 10, 6, 6, 6, 2, 1, 2, 6, 1, 6, 10, 6, 6, 10, 10, 1, 1, 1, 10, 1, 10, 2, 2, 6, 6, 1, 2, 1, 10, 6, 6, 2, 6, 1, 10, 1, 0, 1, 2, 1, 6, 1, 6, 6, 10, 2, 6, 6, 1, 10, 6, 10, 5, 6, 2, 40, 2, 1, 2, 10, 2, 1, 2, 1, 10, 1, 1, 0, 6, 1, 2, 6, 2, 2, 6, 6, 10, 10, 6, 1, 10, 1, 10, 10, 10, 2, 1, 10, 1, 6, 6, 6, 10, 7, 2, 6, 1, 5, 10, 6, 10, 10, 2, 2, 6, 2, 2, 6, 10, 1, 1, 2, 1, 6, 10, 6, 6, 2, 1, 2, 6, 6, 10, 10, 10, 9, 6, 6, 2, 2, 10, 2, 1, 10, 6, 10, 10, 2, 1, 2, 6, 1, 10, 6, 1, 10, 1, 6, 1, 1, 0, 10, 1, 1, 6, 1, 1, 1, 6, 10, 2, 2, 1, 6, 2, 1, 2, 2, 1, 2, 6, 10, 1, 10, 10, 1, 6, 2, 2, 2, 1, 6, 2, 1, 6, 10, 1, 10, 1, 2, 10, 10, 2, 1, 10, 10, 2, 1, 1, 6, 10, 2, 10, 6, 6, 6, 2, 1, 1, 1, 1, 9, 6, 6, 6, 1, 1, 9, 1, 1, 6, 10, 1, 1, 1, 10, 2, 0, 1, 10, 1, 6, 10, 2, 6, 6, 10, 2, 1, 10, 1, 6, 5, 1, 2, 6, 6, 10, 0, 1, 2, 1, 5, 6, 10, 2, 10, 2, 6, 1, 5, 10, 10, 1, 1, 2, 2, 2, 10, 1, 2, 2, 1, 2, 6, 2, 1, 2, 10, 10, 10, 6, 10, 1, 10, 6, 1, 1, 6, 2, 2, 1, 10, 1, 10, 1, 9, 10, 1, 10, 10, 6, 10, 2, 10, 2, 10, 6, 6, 2, 1, 1, 1, 10, 1, 2, 1, 10, 1, 2, 2, 1, 1, 1, 10, 1, 6, 9, 10, 1, 2, 1, 10, 2, 10, 9, 6, 2, 10, 6, 1, 10, 2, 10, 1, 6, 2, 10, 10, 6, 10, 2, 6, 10, 1, 1, 6, 10, 10, 10, 1, 10, 1, 1, 2, 6, 2, 6, 1, 2, 1, 6, 6, 10, 6, 6, 10, 10, 1, 6, 6, 1, 1, 6, 10, 6, 6, 6, 2, 6, 6, 6, 10, 2, 10, 10, 1, 1, 10, 2, 2, 10, 2, 2, 2, 9, 10, 1, 2, 6, 6, 2, 2, 6, 10, 2, 2, 1, 6, 10, 1, 1, 6, 1, 10, 1, 1, 1, 10, 6, 1, 6, 6, 1, 10, 1, 2, 6, 2, 1, 10, 6, 6, 1, 10, 1, 1, 1, 10, 6, 1, 10, 6, 6, 6, 6, 1, 2, 6, 6, 6, 10, 1, 1, 10, 6, 6, 10, 2, 4, 6, 6, 6, 1, 6, 10, 10, 6, 6, 10, 5, 6, 1, 6, 50, 6, 10, 10, 6, 2, 2, 1, 6, 2, 10, 10, 10, 10, 6, 10, 2, 10, 1, 6, 1, 6, 5, 10, 6, 0, 10, 10, 10, 1, 10, 10, 10, 6, 10, 10, 10, 6, 6, 2, 2, 2, 6, 10, 6, 10, 10, 10, 9, 6, 2, 2, 1, 9, 2, 2, 1, 4, 10, 6, 1, 10, 2, 1, 10, 6, 2, 2, 2, 2, 2, 2, 6, 2, 10, 2, 1, 1, 10, 2, 10, 10, 10, 6, 1, 10, 6, 1, 1, 2, 2, 1, 2, 2, 1, 2, 6, 2, 6, 0, 6, 1, 2, 6, 2, 6, 6, 10, 2, 2, 2, 10, 6, 2, 1, 10, 10, 10, 2, 10, 6, 2, 6, 10, 5, 2, 10, 6, 6, 10, 10, 1, 10, 9, 2, 2, 1, 1, 2, 1, 1, 1, 1, 10, 1, 6, 10, 1, 0, 10, 1, 1, 10, 10, 10, 6, 10, 1, 6, 2, 10, 10, 6, 10, 2, 10, 1, 1, 10, 10, 2, 1, 2, 10, 10, 1, 6, 10, 2, 2, 6, 10, 2, 10, 6, 2, 1, 1, 6, 10, 4, 10, 10, 6, 1, 10, 2, 2, 10, 1, 1, 2, 5, 2, 6, 0, 10, 2, 10, 1, 10, 6, 1, 10, 1, 1, 10, 6, 10, 1, 10, 1, 2, 10, 1, 10, 10, 6, 10, 10, 6, 2, 1, 2, 10, 6, 2, 10, 2, 6, 2, 1, 1, 1, 6, 1, 6, 10, 2, 6, 10, 6, 2, 10, 2, 2, 1, 10, 10, 1, 2, 10, 6, 10, 2, 2, 1, 1, 2, 1, 10, 2, 1, 2, 2, 2, 6, 2, 10, 2, 2, 10, 2, 10, 2, 2, 10, 10, 10, 1, 6, 10, 6, 1, 6, 6, 1, 1, 6, 1, 2, 10, 2, 1, 1, 1, 2, 10, 6, 2, 2, 1, 2, 10, 2, 1, 4, 2, 10, 6, 10, 1, 2, 1, 2, 2, 5, 1, 6, 2, 1, 2, 2, 6, 1, 1, 6, 2, 2, 6, 10, 10, 10, 1, 4, 6, 6, 5, 6, 1, 6, 1, 2, 10, 6, 6, 6, 2, 1, 1, 10, 10, 6, 2, 10, 1, 10, 1, 6, 1, 1, 10, 6, 6, 2, 6, 10, 2, 10, 2, 6, 10, 10, 2, 1, 1, 2, 10, 6, 2, 10, 2, 10, 1, 6, 6, 4, 1, 6, 4, 2, 2, 10, 6, 10, 10, 1, 2, 6, 6, 2, 2, 2, 2, 4, 2, 10, 2, 2, 2, 6, 2, 10, 1, 10, 2, 6, 6, 6, 0, 2, 10, 10, 2, 1, 4, 10, 6, 1, 10, 10, 10, 1, 9, 1, 2, 6, 2, 6, 10, 10, 2, 2, 10, 1, 1, 2, 10, 2, 1, 2, 10, 1, 6, 6, 2, 10, 10, 10, 2, 6, 1, 1, 2, 10, 2, 10, 10, 10, 1, 2, 10, 2, 9, 1, 10, 1, 6, 10, 6, 1, 6, 1, 2, 1, 2, 6, 1, 2, 2, 10, 6, 1, 10, 6, 6, 2, 1, 1, 1, 6, 1, 6, 1, 10, 5, 10, 10, 1, 6, 2, 6, 2, 10, 2, 2, 2, 2, 10, 6, 10, 1, 10, 6, 10, 2, 6, 10, 6, 6, 10, 2, 1, 10, 1, 1, 1, 10, 10, 6, 10, 6, 6, 10, 2, 2, 6, 1, 2, 1, 6, 6, 2, 10, 10, 10, 10, 6, 10, 10, 1, 6, 6, 6, 1, 6, 6, 1, 10, 10, 10, 6, 2, 2, 2, 1, 10, 1, 6, 2, 1, 2, 6, 1, 1, 6, 1, 2, 2, 1, 10, 1, 10, 1, 10, 1, 1, 1, 6, 2, 9, 6, 1, 1, 4, 2, 2, 10, 10, 1, 2, 10, 6, 10, 6, 6, 6, 1, 10, 1, 10, 2, 2, 2, 1, 2, 10, 6, 6, 6, 2, 1, 2, 2, 2, 10, 1, 10, 10, 6, 0, 6, 9, 2, 1, 9, 2, 1, 2, 2, 2, 2, 2, 6, 1, 2, 6, 1, 6, 1, 1, 10, 6, 2, 6, 2, 10, 6, 2, 2, 1, 6, 10, 10, 2, 6, 6, 2, 1, 1, 2, 2, 2, 1, 6, 1, 2, 1, 1, 1, 10, 6, 6, 6, 6, 10, 6, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 6, 1, 1, 10, 1, 2, 6, 2, 10, 2, 1, 10, 10, 10, 2, 2, 6, 10, 1, 6, 1, 10, 1, 6, 4, 1, 5, 6, 2, 2, 10, 2, 10, 1, 10, 1, 1, 6, 2, 2, 10, 0, 10, 2, 10, 1, 2, 2, 10, 2, 1, 1, 4, 2, 10, 10, 9, 1, 10, 1, 6, 2, 1, 1, 10, 1, 9, 2, 10, 2, 5, 1, 6, 1, 1, 6, 6, 1, 6, 6, 6, 2, 1, 2, 10, 10, 6, 9, 10, 10, 1, 1, 1, 9, 6, 10, 1, 2, 10, 2, 10, 10, 2, 1, 6, 2, 5, 2, 6, 6, 1, 1, 2, 2, 1, 6, 1, 1, 1, 1, 1, 10, 2, 6, 2, 1, 1, 2, 6, 10, 10, 10, 6, 10, 6, 1, 2, 2, 2, 1, 2, 2, 6, 1, 10, 2, 6, 10, 2, 10, 2, 1, 6, 2, 10, 6, 6, 6, 1, 6, 10, 10, 1, 2, 1, 6, 1, 6, 6, 5, 2, 4, 2, 1, 10, 1, 1, 2, 1, 2, 10, 10, 1, 6, 6, 1, 1, 6, 10, 6, 10, 10, 1, 2, 1, 1, 6, 6, 1, 1, 6, 10, 1, 6, 10, 1, 1, 6, 2, 1, 10, 9, 1, 10, 9, 10, 10, 6, 10, 1, 6, 10, 10, 1, 1, 10, 6, 2, 10, 6, 10, 1, 6, 2, 6, 6, 6, 1, 1, 6, 10, 10, 10, 6, 2, 2, 6, 2, 10, 6, 10, 6, 6, 10, 2, 1, 1, 10, 6, 6, 1, 6, 1, 1, 6, 1, 6, 2, 6, 1, 2, 6, 2, 2, 6, 10, 1, 6, 10, 6, 6, 6, 1, 6, 2, 1, 6, 1, 6, 1, 10, 2, 10, 6, 6, 1, 6, 1, 6, 1, 2, 10, 10, 6, 6, 1, 6, 10, 6, 1, 10, 2, 6, 6, 1, 2, 2, 10, 2, 10, 6, 6, 10, 4, 10, 1, 6, 6, 1, 2, 10, 2, 1, 1, 10, 2, 10, 6, 6, 1, 1, 2, 2, 1, 10, 1, 10, 6, 2, 10, 6, 2, 1, 6, 6, 10, 10, 2, 4, 10, 6, 10, 6, 10, 10, 10, 2, 6, 2, 2, 10, 6, 6, 10, 2, 10, 6, 2, 10, 6, 1, 10, 6, 6, 10, 6, 6, 6, 10, 6, 1, 1, 2, 2, 10, 1, 2, 2, 10, 10, 10, 10, 1, 10, 10, 10, 4, 10, 2, 0, 6, 6, 2, 1, 1, 2, 10, 6, 10, 6, 10, 10, 10, 2, 10, 10, 10, 6, 6, 1, 10, 2, 2, 6, 10, 6, 2, 10, 1, 10, 6, 10, 2, 10, 10, 1, 1, 2, 1, 2, 10, 6, 2, 1, 10, 1, 10, 10, 2, 1, 2, 1, 10, 6, 10, 10, 6, 10, 1, 2, 10, 2, 1, 2, 6, 10, 2, 1, 1, 1, 10, 6, 6, 6, 1, 10, 2, 6, 10, 2, 1, 10, 6, 1, 2, 6, 4, 6, 6, 6, 6, 2, 6, 2, 10, 1, 2, 2, 6, 10, 2, 6, 6, 10, 2, 6, 2, 1, 0, 1, 1, 2, 2, 10, 10, 1, 6, 2, 10, 10, 1, 1, 10, 6, 2, 2, 6, 10, 2, 10, 6, 10, 6, 2, 10, 6, 10, 1, 4, 6, 2, 6, 1, 6, 10, 2, 2, 10, 6, 10, 10, 6, 2, 6, 10, 1, 2, 10, 1, 6, 1, 6, 10, 10, 2, 1, 6, 2, 10, 1, 1, 1, 10, 1, 1, 2, 10, 10, 6, 9, 10, 6, 2, 10, 2, 6, 10, 10, 6, 2, 6, 1, 1, 2, 1, 10, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 6, 1, 6, 2, 0, 1, 2, 10, 10, 5, 2, 6, 2, 6, 10, 2, 6, 10, 1, 10, 6, 2, 1, 10, 2, 2, 1, 0, 1, 1, 1, 10, 2, 1, 2, 6, 2, 6, 1, 9, 10, 2, 1, 10, 1, 6, 2, 1, 2, 2, 1, 6, 2, 1, 9, 1, 10, 2, 6, 10, 6, 10, 1, 10, 5, 10, 10, 6, 2, 9, 2, 2, 10, 1, 10, 1, 1, 10, 6, 1, 2, 1, 2, 10, 1, 2, 2, 2, 1, 10, 1, 1, 6, 1, 10, 1, 6, 6, 9, 1, 6, 1, 1, 1, 2, 2, 6, 2, 10, 1, 10, 10, 6, 2, 2, 10, 10, 2, 0, 10, 6, 1, 1, 1, 1, 2, 1, 0, 6, 6, 1, 2, 10, 2, 2, 10, 10, 1, 10, 2, 5, 10, 6, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 6, 1, 10, 6, 6, 10, 10, 6, 1, 2, 2, 2, 6, 6, 2, 2, 6, 6, 9, 6, 10, 1, 6, 6, 6, 1, 10, 2, 1, 1, 6, 1, 6, 2, 10, 6, 1, 10, 2, 2, 2, 10, 10, 2, 6, 10, 6, 10, 1, 1, 2, 6, 6, 2, 6, 2, 2, 2, 2, 6, 1, 1, 6, 6, 1, 6, 6, 6, 10, 1, 1, 1, 10, 1, 6, 1, 10, 6, 1, 6, 6, 6, 1, 1, 10, 2, 1, 6, 2, 1, 10, 6, 2, 6, 4, 10, 6, 0, 10, 1, 2, 10, 1, 1, 1, 2, 6, 10, 10, 0, 6, 2, 6, 1, 10, 10, 6, 2, 1, 1, 6, 2, 0, 2, 10, 10, 6, 6, 4, 6, 6, 1, 1, 2, 1, 6, 10, 1, 2, 1, 1, 6, 10, 2, 1, 10, 1, 6, 2, 6, 10, 1, 2, 10, 2, 2, 2, 6, 6, 2, 5, 6, 6, 2, 2, 6, 1, 2, 2, 10, 6, 1, 6, 2, 1, 10, 5, 1, 2, 10, 2, 6, 1, 6, 1, 6, 10, 10, 2, 10, 6, 2, 2, 2, 10, 2, 6, 6, 5, 2, 1, 10, 10, 1, 6, 6, 2, 2, 10, 2, 1, 6, 2, 2, 6, 2, 1, 6, 2, 6, 10, 10, 2, 6, 10, 10, 1, 2, 6, 6, 10, 2, 10, 6, 6, 1, 10, 1, 2, 10, 2, 10, 10, 10, 10, 2, 6, 6, 6, 6, 4, 1, 1, 5, 2, 2, 2, 9, 2, 2, 6, 10, 2, 2, 10, 6, 10, 1, 6, 6, 2, 6, 0, 2, 2, 10, 2, 6, 2, 2, 6, 2, 1, 1, 10, 6, 1, 0, 1, 6, 10, 1, 6, 10, 2, 6, 6, 2, 2, 6, 6, 2, 1, 2, 6, 1, 1, 1, 1, 10, 2, 1, 2, 1, 2, 1, 6, 4, 2, 10, 2, 6, 2, 6, 10, 1, 1, 6, 10, 10, 10, 1, 10, 10, 10, 10, 2, 10, 10, 2, 2, 10, 10, 6, 2, 6, 2, 1, 10, 10, 2, 2, 6, 1, 1, 6, 9, 10, 10, 10, 10, 10, 10, 0, 1, 10, 6, 2, 6, 10, 1, 10, 1, 1, 2, 1, 10, 2, 1, 2, 6, 2, 1, 2, 10, 6, 1, 10, 10, 1, 2, 1, 2, 2, 1, 10, 2, 10, 1, 1, 10, 2, 2, 1, 1, 2, 10, 1, 1, 1, 6, 1, 1, 4, 6, 6, 10, 6, 2, 2, 2, 1, 10, 10, 2, 10, 6, 1, 2, 9, 6, 4, 2, 2, 10, 5, 10, 2, 1, 10, 2, 1, 10, 10, 6, 10, 6, 1, 10, 6, 1, 10, 6, 2, 2, 6, 10, 2, 1, 2, 2, 10, 10, 10, 10, 1, 10, 2, 2, 1, 1, 2, 10, 0, 6, 6, 10, 6, 10, 6, 5, 10, 10, 2, 1, 2, 1, 6, 10, 1, 1, 6, 6, 1, 1, 6, 1, 2, 10, 6, 2, 2, 1, 6, 10, 6, 2, 1, 2, 6, 10, 2, 2, 10, 10, 2, 1, 2, 1, 2, 2, 10, 6, 6, 10, 2, 1, 6, 4, 1, 6, 10, 10, 10, 10, 10, 6, 6, 1, 6, 2, 10, 2, 2, 6, 6, 2, 2, 2, 2, 0, 2, 10, 1, 2, 10, 2, 10, 6, 10, 2, 1, 1, 10, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 6, 2, 1, 2, 10, 10, 10, 10, 10, 1, 6, 1, 1, 6, 1, 6, 0, 6, 1, 2, 6, 10, 6, 10, 6, 2, 2, 1, 10, 10, 1, 2, 2, 10, 2, 6, 1, 10, 10, 6, 2, 10, 1, 10, 10, 1, 1, 2, 10, 6, 2, 1, 2, 10, 10, 6, 2, 0, 1, 2, 2, 1, 2, 2, 10, 1, 1, 2, 2, 10, 6, 1, 10, 6, 1, 1, 2, 2, 6, 10, 6, 6, 2, 2, 6, 10, 1, 1, 10, 6, 1, 10, 0, 6, 6, 1, 6, 2, 1, 6, 1, 2, 2, 6, 1, 6, 10, 2, 2, 6, 10, 1, 6, 2, 1, 10, 2, 10, 10, 2, 10, 6, 2, 4, 6, 1, 6, 2, 6, 2, 1, 6, 6, 6, 6, 1, 10, 10, 10, 1, 10, 2, 1, 2, 2, 1, 10, 2, 6, 1, 1, 6, 10, 6, 1, 6, 6, 6, 1, 1, 6, 1, 1, 10, 1, 2, 1, 9, 10, 10, 6, 3, 1, 10, 6, 10, 1, 6, 10, 6, 2, 2, 1, 1, 6, 10, 1, 6, 1, 2, 6, 10, 2, 2, 1, 1, 1, 2, 10, 2, 6, 10, 6, 6, 2, 10, 1, 2, 10, 2, 6, 10, 6, 6, 6, 4, 1, 2, 6, 6, 1, 2, 1, 2, 10, 2, 6, 10, 6, 6, 10, 6, 2, 1, 10, 6, 2, 10, 2, 10, 2, 1, 6, 4, 2, 10, 6, 6, 10, 10, 10, 10, 2, 10, 1, 6, 1, 6, 2, 10, 1, 6, 10, 10, 6, 6, 6, 2, 6, 2, 10, 2, 2, 6, 10, 6, 1, 6, 6, 10, 1, 1, 10, 2, 10, 2, 6, 2, 6, 6, 2, 1, 10, 2, 2, 10, 2, 10, 1, 1, 1, 6, 6, 10, 10, 6, 2, 6, 10, 6, 2, 6, 2, 2, 7, 6, 2, 6, 6, 10, 10, 10, 2, 6, 9, 2, 2, 6, 10, 6, 2, 10, 10, 1, 10, 1, 10, 2, 2, 10, 1, 10, 6, 6, 6, 10, 1, 2, 10, 6, 6, 10, 1, 1, 1, 2, 2, 10, 1, 10, 1, 10, 7, 6, 1, 1, 1, 2, 6, 2, 4, 2, 6, 6, 1, 1, 2, 10, 2, 10, 6, 2, 6, 2, 1, 1, 10, 1, 2, 1, 10, 6, 2, 1, 10, 6, 2, 6, 4, 40, 2, 2, 2, 1, 2, 6, 2, 10, 10, 1, 10, 10, 10, 1, 6, 1, 10, 10, 2, 2, 10, 10, 2, 6, 1, 1, 6, 1, 5, 10, 6, 2, 1, 2, 2, 6, 1, 10, 1, 10, 2, 1, 10, 1, 1, 10, 6, 10, 2, 10, 10, 10, 6, 10, 2, 1, 10, 2, 10, 10, 10, 1, 1, 6, 6, 6, 6, 1, 4, 10, 2, 10, 1, 2, 6, 9, 2, 9, 2, 2, 6, 2, 6, 2, 1, 10, 2, 6, 1, 2, 1, 2, 6, 6, 6, 1, 2, 2, 1, 1, 6, 1, 1, 2, 6, 10, 10, 2, 2, 2, 10, 6, 10, 1, 6, 2, 2, 10, 2, 10, 10, 0, 1, 1, 10, 10, 10, 2, 6, 2, 10, 1, 6, 6, 1, 10, 1, 2, 2, 2, 10, 10, 6, 2, 2, 10, 6, 2, 5, 1, 1, 10, 6, 4, 10, 6, 2, 6, 2, 6, 10, 10, 1, 2, 10, 6, 6, 6, 10, 6, 2, 2, 1, 10, 6, 1, 6, 2, 2, 6, 2, 1, 6, 6, 1, 2, 9, 1, 10, 2, 10, 6, 6, 10, 2, 10, 1, 1, 2, 10, 1, 6, 6, 10, 1, 2, 6, 10, 6, 1, 6, 10, 1, 9, 1, 10, 6, 6, 10, 1, 6, 10, 5, 10, 2, 2, 6, 10, 10, 1, 2, 10, 1, 10, 1, 2, 10, 1, 10, 6, 10, 6, 1, 1, 10, 2, 10, 10, 6, 2, 10, 1, 6, 2, 10, 1, 1, 2, 2, 2, 6, 6, 1, 6, 6, 2, 10, 0, 2, 10, 6, 1, 1, 10, 6, 10, 2, 4, 6, 2, 6, 6, 1, 2, 6, 6, 10, 1, 1, 10, 2, 10, 2, 10, 1, 1, 6, 2, 2, 10, 10, 6, 2, 2, 6, 2, 1, 1, 6, 1, 1, 6, 1, 6, 10, 6, 5, 6, 6, 10, 10, 1, 2, 10, 10, 10, 1, 2, 6, 1, 10, 1, 6, 2, 2, 10, 2, 6, 1, 1, 2, 0, 4, 2, 2, 4, 2, 6, 2, 1, 1, 2, 10, 6, 10, 10, 10, 10, 2, 6, 10, 2, 1, 10, 2, 1, 2, 10, 1, 1, 1, 6, 6, 6, 6, 2, 6, 6, 6, 1, 10, 6, 10, 6, 1, 2, 1, 2, 2, 6, 2, 1, 2, 2, 10, 10, 2, 6, 10, 2, 10, 2, 2, 2, 10, 6, 6, 2, 10, 1, 10, 0, 1, 1, 1, 10, 10, 1, 1, 2, 10, 10, 10, 2, 1, 2, 6, 10, 1, 6, 10, 1, 1, 6, 1, 10, 2, 1, 2, 1, 6, 2, 1, 6, 1, 1, 10, 1, 1, 2, 2, 2, 2, 2, 9, 2, 10, 10, 10, 10, 0, 2, 6, 10, 6, 2, 1, 10, 10, 2, 10, 1, 10, 10, 1, 6, 6, 10, 6, 10, 2, 1, 2, 10, 10, 6, 10, 1, 6, 1, 5, 2, 6, 2, 10, 10, 10, 10, 10, 1, 2, 6, 2, 2, 6, 1, 6, 10, 1, 10, 2, 1, 10, 10, 10, 10, 1, 2, 1, 10, 2, 10, 10, 2, 2, 6, 6, 6, 6, 2, 6, 1, 2, 10, 10, 1, 2, 2, 6, 2, 1, 6, 10, 6, 10, 2, 10, 10, 1, 10, 6, 6, 1, 1, 10, 2, 2, 6, 6, 10, 2, 1, 6, 6, 1, 10, 1, 1, 2, 2, 1, 2, 2, 10, 10, 6, 2, 6, 2, 10, 6, 1, 2, 2, 2, 10, 6, 2, 1, 10, 2, 10, 10, 1, 2, 2, 6, 1, 6, 2, 10, 2, 6, 2, 6, 6, 6, 2, 10, 1, 6, 1, 1, 1, 1, 6, 10, 1, 10, 10, 1, 6, 10, 6, 6, 6, 1, 2, 10, 2, 10, 10, 1, 10, 10, 1, 2, 10, 2, 6, 2, 6, 2, 10, 2, 6, 10, 10, 1, 6, 6, 10, 6, 2, 2, 10, 2, 10, 6, 6, 6, 10, 10, 6, 6, 10, 10, 10, 2, 6, 6, 2, 2, 2, 2, 10, 10, 6, 1, 1, 10, 2, 10, 0, 2, 10, 10, 6, 1, 10, 1, 10, 2, 1, 1, 1, 1, 2, 1, 10, 10, 10, 1, 2, 4, 10, 6, 1, 2, 2, 1, 1, 2, 2, 1, 1, 10, 10, 10, 2, 6, 2, 2, 10, 2, 6, 10, 6, 10, 2, 10, 10, 2, 2, 1, 6, 2, 6, 10, 2, 6, 6, 6, 10, 10, 2, 6, 2, 10, 6, 2, 6, 2, 6, 6, 6, 6, 6, 10, 6, 2, 0, 10, 10, 10, 2, 1, 10, 6, 6, 1, 10, 4, 2, 10, 6, 2, 1, 2, 2, 6, 6, 6, 10, 6, 6, 1, 2, 6, 1, 2, 1, 10, 2, 2, 1, 10, 1, 1, 6, 6, 6, 10, 2, 2, 1, 2, 1, 6, 1, 2, 2, 1, 1, 2, 10, 1, 2, 10, 2, 1, 1, 2, 1, 1, 1, 2, 10, 2, 6, 10, 10, 9, 2, 10, 2, 10, 10, 6, 1, 2, 2, 10, 2, 10, 10, 10, 10, 6, 2, 6, 6, 2, 0, 6, 2, 2, 2, 6, 10, 1, 10, 6, 0, 1, 1, 10, 10, 10, 6, 10, 6, 6, 10, 10, 2, 10, 6, 10, 10, 2, 1, 6, 1, 1, 6, 1, 10, 2, 10, 0, 2, 6, 10, 10, 0, 1, 2, 10, 9, 6, 10, 10, 2, 2, 2, 1, 2, 2, 2, 2, 6, 10, 1, 6, 1, 2, 2, 10, 10, 6, 2, 5, 10, 1, 10, 6, 2, 2, 6, 10, 2, 2, 10, 2, 2, 6, 10, 2, 0, 2, 6, 1, 6, 1, 2, 6, 2, 2, 2, 2, 10, 2, 6, 10, 1, 1, 2, 1, 1, 2, 10, 1, 9, 6, 1, 2, 1, 2, 6, 10, 6, 2, 2, 2, 2, 6, 10, 1, 6, 2, 2, 10, 1, 6, 1, 10, 6, 1, 2, 2, 1, 6, 6, 1, 10, 2, 6, 9, 2, 6, 6, 6, 10, 6, 6, 2, 10, 2, 2, 1, 1, 1, 4, 10, 2, 2, 2, 10, 2, 6, 2, 2, 1, 6, 2, 6, 10, 10, 2, 2, 8, 6, 60, 10, 6, 1, 1, 6, 10, 10, 2, 6, 10, 2, 1, 6, 10, 6, 10, 6, 2, 1, 10, 10, 6, 10, 1, 2, 10, 6, 6, 5, 10, 1, 6, 10, 2, 2, 10, 1, 1, 7, 6, 10, 6, 6, 6, 1, 10, 6, 2, 2, 6, 6, 10, 6, 1, 2, 1, 6, 1, 1, 9, 2, 2, 10, 10, 1, 6, 2, 2, 6, 2, 2, 10, 10, 2, 2, 2, 6, 6, 1, 2, 1, 2, 2, 10, 10, 1, 10, 2, 1, 10, 2, 6, 10, 6, 2, 2, 1, 1, 10, 1, 1, 2, 6, 1, 6, 1, 6, 1, 1, 2, 6, 6, 6, 10, 1, 1, 1, 10, 1, 2, 6, 2, 6, 10, 1, 1, 0, 2, 6, 10, 10, 10, 2, 10, 6, 6, 1, 2, 6, 6, 10, 6, 2, 2, 2, 10, 10, 2, 10, 2, 1, 4, 0, 1, 10, 9, 1, 1, 6, 10, 1, 1, 6, 6, 10, 10, 10, 6, 2, 10, 1, 1, 2, 6, 6, 6, 6, 10, 2, 2, 6, 10, 2, 10, 10, 1, 6, 6, 10, 6, 10, 10, 0, 1, 2, 10, 1, 6, 2, 6, 2, 6, 10, 2, 10, 2, 10, 2, 1, 2, 2, 6, 6, 10, 2, 1, 6, 0, 1, 10, 2, 2, 6, 2, 6, 2, 6, 2, 10, 1, 6, 10, 6, 1, 10, 2, 2, 2, 10, 2, 6, 6, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 10, 10, 1, 2, 10, 6, 0, 10, 2, 1, 1, 1, 6, 2, 6, 2, 2, 2, 10, 2, 10, 10, 1, 6, 1, 5, 2, 2, 10, 10, 10, 10, 2, 10, 6, 1, 10, 6, 10, 1, 6, 1, 6, 2, 10, 10, 1, 2, 6, 2, 1, 6, 1, 6, 1, 2, 10, 6, 6, 1, 5, 6, 2, 10, 10, 1, 6, 6, 1, 2, 1, 10, 9, 2, 10, 6, 1, 1, 1, 10, 10, 2, 2, 2, 1, 1, 10, 1, 1, 2, 2, 2, 1, 10, 6, 1, 6, 6, 1, 10, 10, 6, 2, 2, 10, 10, 10, 4, 2, 2, 1, 1, 1, 6, 9, 2, 6, 6, 6, 10, 6, 10, 1, 6, 10, 10, 10, 2, 5, 0, 1, 2, 10, 6, 6, 1, 0, 2, 2, 10, 10, 10, 9, 2, 10, 9, 10, 1, 1, 1, 6, 2, 2, 6, 10, 2, 10, 6, 6, 6, 6, 10, 6, 6, 2, 2, 10, 5, 1, 1, 10, 2, 2, 1, 6, 10, 10, 2, 0, 10, 1, 2, 2, 1, 6, 1, 10, 6, 1, 10, 6, 10, 2, 10, 10, 8, 2, 6, 2, 2, 2, 6, 9, 2, 2, 10, 10, 6, 6, 1, 10, 2, 10, 2, 1, 1, 10, 10, 6, 2, 1, 6, 1, 2, 10, 1, 2, 1, 1, 10, 2, 10, 1, 2, 4, 10, 2, 1, 6, 1, 1, 2, 1, 6, 10, 10, 6, 10, 10, 10, 1, 1, 1, 1, 6, 2, 1, 1, 6, 10, 1, 10, 2, 1, 1, 2, 1, 2, 10, 2, 10, 6, 2, 2, 2, 1, 2, 1, 6, 6, 10, 6, 1, 0, 2, 6, 2, 1, 6, 2, 6, 1, 4, 1, 10, 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1, 10, 2, 2, 2, 1, 9, 5, 10, 10, 6, 1, 10, 1, 2, 10, 2, 2, 1, 6, 10, 6, 10, 1, 2, 1, 10, 1, 0, 1, 1, 6, 1, 1, 1, 1, 2, 6, 10, 2, 1, 10, 10, 1, 6, 10, 6, 6, 1, 2, 6, 6, 9, 6, 1, 10, 10, 10, 2, 6, 1, 6, 2, 1, 1, 2, 10, 10, 6, 2, 1, 10, 1, 6, 10, 10, 6, 1, 10, 6, 2, 6, 2, 1, 1, 6, 2, 2, 1, 10, 1, 1, 10, 1, 10, 6, 2, 10, 2, 6, 1, 2, 1, 1, 1, 6, 2, 2, 1, 10, 1, 6, 0, 2, 10, 6, 1, 5, 2, 10, 2, 1, 10, 10, 6, 10, 2, 1, 6, 10, 2, 6, 1, 2, 2, 10, 10, 6, 6, 2, 10, 10, 0, 2, 2, 2, 2, 2, 10, 6, 10, 2, 10, 1, 4, 10, 1, 10, 2, 6, 4, 1, 10, 1, 1, 9, 10, 2, 2, 2, 1, 1, 6, 10, 2, 6, 10, 10, 6, 2, 10, 1, 2, 1, 2, 2, 6, 1, 10, 10, 10, 6, 6, 10, 10, 6, 1, 10, 10, 1, 2, 10, 10, 2, 2, 2, 10, 2, 1, 2, 10, 2, 10, 6, 6, 10, 6, 10, 2, 2, 2, 1, 2, 1, 10, 2, 4, 1, 1, 10, 2, 4, 1, 1, 2, 5, 2, 2, 1, 2, 6, 10, 2, 1, 6, 10, 6, 6, 10, 1, 6, 1, 6, 10, 6, 10, 2, 1, 1, 2, 10, 10, 6, 2, 6, 2, 10, 6, 1, 2, 1, 2, 10, 5, 2, 10, 2, 10, 2, 10, 2, 10, 2, 2, 6, 6, 1, 2, 6, 2, 6, 1, 9, 2, 10, 6, 1, 2, 2, 2, 3, 2, 6, 10, 1, 2, 6, 10, 1, 10, 8, 1, 1, 1, 2, 2, 1, 10, 6, 10, 6, 10, 6, 1, 2, 6, 1, 1, 10, 10, 6, 2, 1, 6, 2, 10, 10, 6, 2, 6, 6, 6, 6, 1, 6, 1, 2, 10, 0, 10, 1, 1, 6, 2, 6, 2, 10, 10, 1, 1, 1, 6, 10, 1, 6, 9, 10, 10, 2, 10, 2, 1, 1, 10, 10, 2, 10, 2, 2, 1, 6, 9, 2, 2, 6, 1, 2, 1, 1, 2, 6, 10, 2, 10, 10, 6, 1, 2, 1, 6, 10, 1, 1, 6, 6, 10, 1, 2, 10, 2, 6, 2, 1, 1, 2, 2, 6, 2, 2, 2, 10, 4, 2, 2, 10, 2, 2, 2, 2, 2, 10, 2, 10, 6, 2, 10, 1, 7, 2, 2, 2, 6, 10, 1, 10, 1, 4, 10, 6, 6, 10, 1, 1, 2, 2, 6, 2, 1, 10, 10, 10, 0, 1, 6, 10, 10, 10, 10, 1, 10, 2, 6, 1, 6, 2, 6, 6, 2, 1, 6, 6, 6, 2, 6, 2, 1, 1, 6, 2, 1, 1, 1, 6, 1, 2, 6, 5, 1, 2, 2, 10, 1, 10, 1, 1, 6, 10, 10, 10, 10, 1, 1, 6, 6, 10, 6, 10, 10, 6, 6, 1, 2, 10, 10, 4, 1, 10, 2, 1, 10, 6, 1, 9, 1, 0, 5, 10, 1, 1, 6, 6, 1, 10, 1, 2, 10, 6, 1, 2, 10, 2, 1, 2, 1, 1, 2, 2, 4, 10, 6, 0, 0, 6, 9, 2, 1, 6, 10, 10, 10, 1, 1, 10, 6, 10, 1, 2, 6, 10, 6, 6, 2, 10, 2, 6, 1, 9, 1, 10, 2, 1, 10, 1, 2, 1, 10, 2, 1, 2, 2, 2, 5, 10, 2, 2, 1, 6, 10, 1, 2, 10, 1, 10, 1, 2, 6, 6, 6, 2, 6, 2, 10, 1, 2, 1, 2, 1, 1, 2, 1, 6, 6, 6, 6, 6, 6, 2, 1, 2, 2, 1, 2, 2, 6, 6, 5, 5, 2, 10, 10, 6, 10, 2, 2, 6, 1, 2, 6, 6, 2, 2, 9, 10, 6, 2, 2, 10, 1, 2, 10, 6, 10, 6, 10, 10, 10, 10, 2, 2, 6, 1, 10, 1, 10, 2, 6, 1, 1, 2, 2, 1, 6, 10, 1, 6, 1, 6, 0, 10, 10, 2, 1, 2, 10, 6, 10, 2, 10, 6, 1, 1, 1, 1, 6, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 6, 10, 10, 6, 2, 6, 1, 1, 10, 10, 4, 6, 2, 10, 2, 1, 10, 2, 10, 6, 2, 1, 6, 6, 6, 6, 6, 1, 6, 10, 6, 10, 1, 2, 2, 2, 10, 6, 1, 1, 2, 1, 2, 1, 10, 1, 10, 2, 10, 2, 6, 1, 10, 2, 2, 6, 10, 1, 1, 10, 6, 10, 10, 10, 2, 10, 1, 6, 6, 6, 2, 10, 2, 6, 1, 6, 10, 2, 1, 1, 10, 6, 5, 2, 1, 6, 2, 10, 2, 10, 1, 1, 1, 6, 1, 10, 2, 10, 0, 6, 2, 10, 2, 6, 1, 6, 0, 10, 2, 6, 1, 1, 10, 6, 10, 6, 10, 6, 1, 1, 2, 1, 6, 2, 6, 1, 2, 6, 6, 6, 10, 2, 10, 6, 1, 6, 10, 6, 10, 1, 10, 6, 6, 6, 6, 10, 6, 1, 10, 10, 10, 10, 6, 6, 6, 1, 1, 10, 6, 1, 6, 1, 1, 1, 2, 10, 10, 6, 2, 1, 10, 6, 6, 6, 6, 1, 6, 6, 6, 2, 2, 6, 1, 10, 6, 2, 10, 6, 1, 6, 4, 10, 1, 10, 6, 1, 2, 6, 10, 9, 1, 6, 2, 1, 6, 10, 6, 10, 6, 6, 2, 1, 2, 6, 9, 1, 6, 6, 6, 4, 10, 6, 1, 6, 6, 6, 10, 6, 10, 4, 2, 2, 1, 10, 1, 10, 2, 5, 6, 6, 10, 2, 2, 6, 6, 1, 2, 10, 6, 6, 2, 1, 6, 10, 6, 6, 6, 2, 2, 1, 1, 6, 2, 10, 2, 2, 6, 2, 6, 1, 2, 10, 1, 1, 1, 10, 1, 6, 6, 1, 1, 1, 10, 10, 6, 10, 10, 10, 0, 2, 1, 6, 1, 2, 2, 6, 2, 1, 6, 2, 1, 2, 1, 6, 2, 2, 2, 2, 2, 2, 1, 10, 6, 10, 10, 6, 10, 1, 10, 10, 1, 6, 2, 1, 1, 2, 10, 1, 6, 6, 2, 1, 2, 2, 10, 5, 1, 1, 1, 1, 1, 10, 4, 1, 2, 6, 2, 2, 1, 6, 1, 10, 10, 2, 2, 6, 1, 6, 2, 2, 6, 1, 10, 10, 6, 6, 1, 10, 6, 1, 10, 1, 10, 2, 10, 2, 2, 6, 10, 10, 6, 6, 10, 10, 2, 2, 10, 6, 1, 2, 2, 0, 1, 10, 10, 6, 2, 10, 6, 10, 10, 6, 1, 6, 0, 6, 1, 6, 2, 2, 2, 6, 4, 6, 6, 1, 6, 10, 6, 1, 1, 6, 6, 1, 1, 10, 2, 2, 1, 6, 10, 1, 10, 2, 1, 2, 1, 10, 9, 6, 6, 10, 10, 1, 1, 1, 2, 6, 2, 2, 2, 1, 6, 60, 10, 1, 1, 6, 2, 6, 1, 10, 10, 10, 6, 1, 1, 1, 2, 6, 10, 1, 10, 6, 6, 2, 10, 1, 6, 10, 1, 1, 1, 6, 2, 1, 10, 6, 2, 1, 0, 10, 2, 10, 10, 10, 1, 1, 2, 1, 10, 5, 1, 1, 2, 1, 2, 6, 6, 10, 2, 6, 1, 6, 1, 6, 1, 1, 1, 2, 1, 2, 2, 2, 6, 10, 2, 1, 2, 10, 10, 6, 10, 6, 1, 10, 1, 6, 2, 1, 2, 10, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 10, 2, 1, 1, 2, 1, 1, 6, 10, 2, 2, 1, 10, 10, 2, 1, 10, 1, 6, 10, 10, 6, 6, 2, 10, 1, 10, 6, 1, 6, 1, 1, 1, 2, 1, 2, 6, 1, 1, 2, 2, 10, 2, 2, 10, 6, 1, 10, 1, 2, 6, 2, 1, 9, 2, 0, 6, 6, 2, 1, 2, 6, 1, 10, 6, 6, 10, 1, 10, 1, 1, 5, 10, 10, 2, 1, 2, 1, 6, 10, 6, 2, 2, 2, 2, 6, 10, 6, 6, 1, 6, 2, 1, 2, 6, 10, 6, 6, 6, 2, 1, 6, 1, 2, 6, 6, 1, 10, 10, 6, 2, 6, 2, 6, 10, 1, 6, 2, 1, 1, 10, 6, 6, 6, 6, 10, 6, 2, 10, 6, 2, 10, 2, 2, 1, 10, 10, 10, 1, 10, 6, 10, 10, 6, 6, 1, 1, 10, 6, 1, 6, 1, 10, 1, 6, 1, 10, 1, 1, 2, 10, 2, 10, 6, 1, 10, 6, 10, 10, 10, 1, 10, 2, 9, 1, 6, 6, 6, 2, 2, 10, 1, 2, 2, 6, 6, 1, 6, 6, 1, 2, 2, 6, 6, 6, 10, 1, 10, 2, 1, 4, 10, 4, 1, 6, 2, 6, 2, 6, 6, 6, 2, 2, 1, 2, 2, 6, 1, 10, 6, 1, 6, 6, 2, 50, 0, 6, 1, 10, 1, 10, 10, 6, 6, 5, 6, 10, 1, 1, 6, 6, 10, 6, 10, 0, 10, 6, 2, 2, 6, 1, 1, 2, 10, 6, 6, 2, 2, 10, 6, 6, 10, 6, 10, 1, 6, 2, 10, 6, 2, 1, 2, 2, 1, 1, 10, 1, 6, 10, 10, 10, 1, 1, 10, 1, 1, 6, 6, 10, 6, 0, 5, 1, 2, 1, 2, 1, 2, 10, 6, 10, 6, 10, 5, 2, 1, 6, 6, 1, 1, 2, 6, 1, 1, 2, 6, 10, 1, 6, 6, 1, 2, 10, 6, 2, 2, 10, 2, 10, 2, 2, 2, 10, 2, 1, 1, 6, 1, 10, 1, 5, 9, 10, 10, 6, 10, 6, 6, 5, 10, 6, 6, 1, 10, 1, 1, 1, 1, 6, 10, 10, 10, 1, 6, 2, 10, 2, 2, 2, 6, 0, 1, 10, 10, 1, 2, 6, 1, 1, 1, 1, 10, 6, 1, 1, 2, 6, 10, 10, 1, 6, 2, 2, 6, 6, 10, 10, 2, 0, 9, 10, 6, 2, 1, 1, 4, 10, 2, 6, 10, 6, 6, 1, 1, 10, 6, 10, 10, 1, 10, 1, 9, 6, 1, 10, 6, 1, 6, 10, 5, 2, 10, 2, 2, 6, 2, 10, 1, 6, 6, 6, 2, 10, 10, 10, 9, 1, 10, 2, 0, 1, 6, 2, 2, 2, 2, 6, 1, 6, 1, 2, 1, 10, 0, 1, 1, 1, 2, 2, 10, 10, 6, 1, 10, 6, 6, 2, 10, 6, 1, 1, 6, 2, 10, 10, 1, 10, 2, 1, 10, 10, 1, 6, 1, 6, 2, 9, 1, 2, 1, 10, 10, 2, 10, 2, 6, 6, 6, 6, 2, 1, 1, 10, 2, 2, 6, 6, 2, 1, 10, 2, 1, 1, 6, 6, 2, 6, 10, 1, 2, 1, 10, 10, 2, 6, 10, 2, 2, 10, 2, 6, 6, 6, 2, 6, 10, 2, 10, 1, 2, 10, 4, 6, 10, 10, 6, 10, 6, 6, 6, 1, 6, 10, 1, 2, 6, 6, 10, 6, 6, 2, 2, 6, 1, 1, 2, 10, 2, 1, 10, 6, 6, 2, 10, 10, 6, 1, 2, 2, 6, 10, 1, 6, 6, 10, 10, 2, 1, 2, 2, 1, 2, 2, 10, 2, 6, 2, 1, 2, 2, 1, 6, 10, 1, 6, 6, 1, 2, 10, 1, 1, 2, 6, 6, 1, 10, 1, 6, 6, 2, 2, 2, 2, 6, 6, 6, 10, 1, 1, 1, 10, 1, 1, 6, 10, 1, 1, 10, 1, 6, 6, 1, 6, 10, 6, 6, 10, 1, 6, 10, 6, 1, 2, 10, 2, 6, 5, 10, 1, 6, 2, 2, 6, 1, 6, 2, 2, 1, 6, 2, 1, 10, 10, 1, 6, 10, 1, 10, 1, 6, 10, 2, 1, 10, 9, 2, 2, 1, 2, 1, 1, 1, 2, 0, 10, 2, 6, 10, 10, 10, 1, 1, 2, 10, 10, 5, 10, 2, 6, 6, 6, 1, 6, 2, 6, 5, 6, 6, 2, 1, 6, 1, 2, 2, 6, 6, 10, 10, 6, 2, 6, 10, 6, 10, 10, 6, 1, 10, 2, 2, 1, 10, 10, 10, 10, 1, 2, 1, 1, 10, 2, 10, 10, 6, 10, 2, 6, 1, 1, 2, 6, 6, 6, 10, 6, 6, 6, 2, 10, 2, 10, 10, 10, 1, 1, 2, 10, 2, 2, 6, 6, 10, 1, 2, 1, 6, 6, 6, 2, 2, 10, 10, 10, 6, 7, 10, 10, 6, 1, 6, 1, 10, 2, 6, 2, 6, 1, 2, 10, 1, 2, 6, 10, 6, 1, 2, 10, 10, 6, 1, 1, 10, 2, 10, 10, 6, 2, 2, 6, 10, 1, 1, 6, 6, 10, 6, 1, 2, 6, 10, 1, 2, 2, 1, 1, 10, 1, 1, 10, 4, 1, 6, 10, 2, 10, 6, 10, 2, 10, 1, 2, 1, 1, 2, 6, 1, 10, 6, 1, 6, 1, 10, 2, 1, 2, 10, 1, 6, 1, 6, 6, 1, 10, 10, 1, 6, 10, 10, 6, 6, 10, 1, 2, 6, 2, 6, 6, 6, 10, 10, 5, 2, 10, 10, 2, 1, 6, 2, 2, 6, 2, 10, 10, 6, 6, 2, 2, 6, 2, 10, 2, 1, 1, 1, 6, 10, 10, 1, 2, 6, 6, 1, 2, 6, 1, 10, 0, 2, 2, 9, 6, 10, 1, 10, 2, 6, 6, 6, 6, 2, 6, 1, 2, 2, 1, 10, 6, 1, 6, 2, 6, 1, 1, 2, 1, 6, 10, 1, 1, 2, 1, 10, 10, 1, 1, 1, 2, 2, 1, 2, 10, 2, 2, 6, 6, 10, 6, 6, 2, 2, 6, 10, 1, 1, 10, 2, 2, 2, 9, 2, 2, 6, 2, 2, 10, 10, 6, 9, 1, 1, 1, 2, 1, 6, 10, 10, 9, 6, 6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 1, 2, 6, 0, 2, 10, 6, 2, 2, 6, 1, 1, 2, 1, 2, 6, 10, 6, 10, 10, 6, 5, 6, 6, 10, 10, 2, 10, 0, 6, 6, 2, 6, 2, 1, 10, 10, 6, 6, 6, 9, 6, 1, 10, 6, 1, 6, 1, 10, 2, 1, 2, 10, 5, 1, 10, 1, 1, 1, 10, 10, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 10, 10, 50, 2, 6, 6, 6, 10, 2, 1, 1, 6, 6, 1, 2, 1, 2, 1, 2, 10, 1, 2, 2, 2, 6, 1, 10, 6, 2, 10, 10, 10, 6, 1, 1, 10, 1, 1, 4, 10, 1, 1, 6, 6, 10, 10, 10, 1, 1, 1, 1, 1, 10, 6, 1, 6, 1, 10, 6, 6, 1, 2, 1, 10, 10, 10, 1, 2, 1, 10, 10, 1, 6, 1, 6, 10, 1, 2, 6, 10, 1, 6, 6, 10, 2, 6, 1, 2, 2, 1, 2, 2, 6, 10, 2, 10, 5, 2, 6, 2, 1, 10, 6, 10, 6, 10, 1, 1, 2, 10, 10, 1, 6, 6, 10, 10, 10, 2, 1, 6, 6, 10, 10, 2, 6, 1, 2, 2, 6, 2, 1, 6, 1, 6, 2, 10, 2, 1, 1, 10, 0, 1, 10, 6, 1, 10, 1, 1, 10, 1, 6, 10, 1, 1, 10, 1, 2, 1, 1, 10, 6, 6, 1, 2, 1, 1, 2, 1, 6, 2, 5, 1, 1, 2, 2, 10, 10, 6, 6, 10, 1, 2, 2, 6, 10, 1, 1, 10, 6, 2, 1, 10, 10, 1, 1, 10, 1, 0, 10, 10, 1, 2, 10, 2, 10, 6, 10, 6, 10, 10, 6, 1, 1, 2, 6, 5, 10, 1, 6, 10, 6, 1, 1, 2, 2, 2, 10, 10, 2, 2, 10, 1, 2, 6, 1, 10, 6, 10, 10, 6, 10, 6, 1, 1, 2, 10, 10, 2, 6, 10, 10, 6, 2, 10, 2, 6, 10, 2, 6, 1, 1, 1, 2, 1, 1, 10, 10, 1, 6, 10, 1, 2, 1, 6, 2, 1, 10, 6, 2, 6, 6, 0, 10, 2, 1, 6, 10, 2, 1, 2, 6, 2, 1, 6, 1, 1, 2, 10, 10, 1, 2, 1, 6, 2, 2, 10, 10, 2, 10, 6, 1, 10, 9, 2, 2, 6, 1, 1, 2, 1, 6, 10, 2, 1, 10, 6, 2, 6, 1, 6, 6, 6, 10, 2, 2, 10, 6, 1, 1, 1, 6, 10, 10, 1, 1, 6, 10, 10, 10, 10, 6, 1, 2, 2, 2, 1, 1, 10, 6, 10, 6, 2, 2, 2, 10, 2, 10, 10, 1, 10, 1, 1, 1, 6, 1, 2, 1, 2, 1, 2, 2, 6, 1, 2, 2, 1, 6, 10, 2, 6, 9, 2, 2, 10, 6, 6, 2, 6, 6, 10, 1, 10, 6, 10, 2, 1, 6, 1, 9, 6, 6, 1, 2, 2, 1, 10, 2, 10, 2, 6, 10, 2, 1, 1, 6, 6, 6, 1, 1, 10, 10, 6, 1, 4, 9, 1, 1, 1, 10, 1, 2, 10, 6, 10, 1, 6, 1, 6, 1, 6, 6, 10, 1, 10, 6, 1, 2, 5, 1, 10, 9, 6, 2, 2, 10, 1, 6, 2, 1, 10, 10, 10, 6, 2, 10, 1, 2, 6, 2, 6, 10, 6, 6, 1, 1, 1, 10, 2, 2, 2, 2, 4, 1, 2, 10, 6, 10, 1, 1, 1, 6, 1, 6, 2, 1, 2, 1, 10, 10, 1, 1, 10, 6, 6, 1, 2, 1, 2, 2, 1, 2, 1, 1, 6, 6, 1, 10, 2, 10, 2, 2, 2, 2, 1, 10, 1, 1, 2, 1, 6, 1, 2, 1, 10, 2, 2, 2, 6, 10, 2, 6, 2, 10, 2, 2, 2, 2, 6, 10, 1, 6, 6, 2, 6, 6, 2, 6, 1, 1, 6, 1, 10, 1, 10, 10, 6, 1, 10, 10, 2, 10, 1, 6, 6, 10, 2, 1, 10, 1, 2, 1, 1, 6, 2, 10, 1, 2, 10, 0, 2, 10, 2, 10, 4, 2, 10, 1, 10, 1, 6, 1, 2, 10, 6, 10, 6, 6, 6, 6, 2, 2, 10, 10, 2, 10, 1, 10, 10, 5, 10, 2, 1, 10, 6, 1, 1, 1, 6, 6, 1, 10, 10, 2, 0, 6, 10, 1, 10, 6, 6, 10, 2, 10, 6, 2, 10, 6, 6, 2, 6, 10, 10, 6, 6, 2, 6, 2, 6, 1, 1, 6, 2, 10, 1, 1, 1, 10, 6, 6, 10, 10, 6, 10, 2, 10, 10, 10, 1, 10, 10, 4, 10, 10, 10, 10, 1, 6, 2, 1, 6, 10, 1, 6, 10, 1, 1, 1, 6, 2, 2, 1, 2, 1, 2, 10, 10, 10, 2, 6, 6, 10, 1, 10, 1, 1, 2, 1, 2, 6, 6, 6, 10, 10, 1, 1, 10, 1, 6, 1, 2, 1, 10, 10, 6, 1, 6, 2, 6, 6, 2, 10, 6, 2, 2, 6, 1, 6, 10, 10, 2, 6, 6, 5, 10, 2, 2, 10, 0, 1, 10, 2, 6, 2, 1, 6, 10, 0, 10, 10, 6, 5, 2, 1, 2, 5, 1, 1, 1, 2, 1, 1, 2, 6, 6, 2, 1, 9, 10, 10, 10, 6, 6, 2, 1, 2, 6, 6, 2, 2, 6, 10, 2, 6, 5, 10, 10, 6, 6, 1, 2, 1, 5, 10, 10, 1, 6, 10, 2, 2, 2, 6, 6, 2, 2, 2, 4, 6, 6, 6, 4, 2, 10, 6, 6, 2, 2, 2, 6, 1, 10, 1, 1, 1, 2, 2, 2, 1, 1, 1, 10, 2, 6, 1, 10, 6, 6, 2, 6, 1, 6, 1, 2, 10, 2, 2, 2, 10, 2, 6, 10, 10, 2, 6, 2, 10, 2, 10, 2, 1, 10, 10, 2, 1, 6, 1, 2, 10, 4, 10, 10, 1, 6, 10, 5, 10, 1, 1, 1, 10, 1, 2, 10, 10, 1, 6, 2, 10, 1, 2, 6, 9, 2, 2, 2, 6, 10, 2, 10, 1, 10, 1, 1, 2, 1, 10, 2, 1, 1, 6, 5, 1, 2, 2, 6, 2, 2, 1, 2, 1, 2, 2, 6, 6, 1, 2, 1, 6, 2, 2, 10, 1, 2, 1, 6, 10, 1, 10, 2, 10, 2, 10, 2, 2, 1, 6, 6, 2, 2, 1, 10, 6, 2, 1, 6, 6, 1, 1, 10, 6, 6, 1, 1, 1, 6, 6, 2, 10, 10, 10, 10, 1, 6, 10, 10, 1, 6, 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10, 6, 1, 10, 1, 1, 6, 2, 1, 1, 10, 1, 2, 6, 6, 10, 9, 10, 1, 6, 2, 6, 2, 1, 6, 1, 10, 10, 0, 1, 10, 1, 2, 6, 2, 1, 6, 4, 6, 2, 10, 10, 2, 2, 2, 2, 10, 1, 2, 10, 1, 1, 6, 10, 6, 10, 2, 10, 1, 2, 2, 1, 2, 10, 1, 1, 10, 10, 2, 2, 6, 6, 6, 10, 2, 2, 6, 2, 6, 1, 1, 6, 1, 6, 2, 6, 6, 1, 10, 6, 2, 10, 2, 6, 2, 6, 2, 10, 2, 2, 6, 10, 2, 1, 10, 9, 1, 2, 10, 2, 1, 1, 6, 1, 6, 2, 6, 6, 6, 2, 10, 6, 6, 10, 6, 6, 6, 6, 6, 2, 2, 10, 10, 6, 1, 10, 6, 6, 1, 6, 6, 1, 2, 10, 2, 6, 2, 6, 10, 10, 10, 6, 2, 10, 10, 10, 10, 2, 2, 1, 10, 2, 10, 5, 6, 10, 2, 6, 1, 10, 6, 6, 6, 1, 2, 1, 10, 2, 2, 10, 6, 10, 1, 6, 6, 2, 6, 10, 1, 6, 1, 10, 2, 10, 6, 2, 10, 2, 1, 1, 1, 1, 1, 2, 4, 6, 2, 1, 6, 2, 10, 6, 1, 6, 2, 1, 1, 6, 2, 2, 10, 1, 10, 1, 2, 1, 10, 2, 2, 10, 1, 10, 1, 1, 10, 1, 2, 10, 2, 1, 2, 6, 6, 2, 1, 6, 6, 6, 2, 2, 6, 6, 1, 10, 2, 10, 10, 2, 10, 6, 1, 10, 10, 6, 6, 10, 6, 10, 1, 10, 10, 10, 1, 10, 6, 6, 6, 1, 6, 2, 6, 6, 1, 10, 10, 2, 10, 10, 2, 5, 6, 6, 10, 10, 6, 1, 1, 10, 6, 1, 6, 10, 2, 10, 2, 6, 2, 2, 10, 2, 6, 1, 1, 10, 2, 0, 10, 6, 2, 10, 2, 6, 10, 1, 6, 1, 10, 5, 2, 10, 6, 2, 10, 6, 6, 6, 1, 6, 6, 2, 2, 10, 1, 6, 6, 2, 1, 2, 2, 1, 1, 6, 6, 6, 10, 1, 2, 1, 10, 6, 10, 1, 9, 2, 10, 6, 6, 6, 10, 2, 6, 1, 10, 10, 10, 1, 10, 6, 2, 2, 1, 1, 0, 2, 2, 6, 6, 0, 2, 2, 2, 10, 1, 2, 10, 10, 6, 6, 1, 2, 10, 10, 1, 10, 2, 2, 10, 10, 10, 6, 10, 10, 2, 10, 6, 2, 1, 10, 1, 2, 1, 2, 6, 6, 1, 10, 2, 1, 10, 10, 6, 2, 6, 6, 6, 10, 1, 6, 2, 2, 2, 10, 6, 6, 1, 6, 1, 10, 6, 6, 6, 10, 6, 6, 1, 2, 1, 6, 6, 1, 10, 6, 2, 6, 6, 1, 2, 10, 6, 2, 1, 1, 1, 2, 2, 10, 6, 1, 2, 2, 10, 1, 10, 9, 6, 10, 6, 1, 1, 10, 2, 1, 1, 6, 1, 10, 2, 10, 2, 6, 2, 10, 1, 6, 2, 2, 10, 2, 1, 10, 2, 6, 10, 2, 10, 6, 10, 10, 2, 2, 2, 1, 2, 6, 2, 1, 6, 2, 10, 2, 10, 10, 2, 2, 10, 6, 2, 2, 10, 6, 2, 6, 1, 1, 2, 6, 1, 1, 1, 6, 2, 10, 0, 2, 10, 10, 2, 6, 6, 1, 10, 2, 2, 9, 2, 10, 2, 10, 10, 6, 10, 1, 1, 1, 1, 6, 6, 1, 10, 1, 6, 1, 2, 6, 6, 2, 1, 1, 10, 2, 6, 10, 1, 10, 9, 6, 1, 1, 1, 10, 10, 2, 6, 1, 1, 1, 10, 2, 10, 1, 6, 2, 1, 1, 10, 2, 1, 2, 2, 6, 10, 1, 2, 1, 10, 2, 10, 9, 2, 1, 2, 6, 10, 10, 1, 1, 10, 10, 2, 1, 1, 6, 10, 6, 1, 1, 6, 2, 10, 2, 1, 1, 2, 1, 6, 6, 2, 2, 1, 2, 6, 1, 2, 1, 10, 10, 2, 10, 2, 6, 2, 2, 1, 1, 10, 6, 2, 2, 10, 2, 2, 1, 10, 2, 1, 2, 1, 6, 6, 5, 1, 10, 6, 10, 2, 2, 6, 1, 2, 6, 6, 4, 10, 0, 6, 2, 4, 6, 2, 2, 10, 6, 1, 2, 2, 1, 2, 6, 2, 1, 10, 10, 1, 1, 10, 1, 2, 6, 6, 1, 6, 6, 6, 6, 2, 2, 10, 0, 10, 6, 1, 2, 1, 5, 2, 1, 9, 6, 6, 1, 10, 2, 6, 1, 10, 1, 10, 10, 6, 9, 6, 1, 10, 1, 1, 1, 10, 10, 10, 6, 1, 2, 6, 10, 2, 6, 2, 6, 1, 1, 10, 4, 2, 2, 10, 10, 1, 2, 1, 6, 1, 1, 10, 1, 10, 10, 1, 2, 2, 6, 2, 6, 2, 1, 10, 4, 10, 10, 6, 2, 2, 2, 2, 2, 2, 2, 10, 10, 1, 10, 10, 6, 2, 6, 6, 6, 6, 2, 10, 2, 10, 10, 2, 1, 1, 2, 2, 10, 10, 1, 1, 1, 2, 1, 10, 2, 10, 6, 1, 1, 1, 6, 2, 2, 2, 1, 10, 1, 2, 6, 10, 2, 6, 6, 6, 6, 6, 2, 1, 6, 6, 10, 2, 10, 2, 2, 1, 2, 10, 1, 6, 2, 10, 2, 6, 1, 10, 6, 2, 10, 2, 6, 10, 2, 10, 10, 1, 2, 10, 10, 1, 10, 2, 1, 2, 2, 10, 6, 1, 1, 10, 1, 6, 2, 2, 10, 6, 1, 5, 2, 10, 6, 1, 2, 2, 2, 10, 1, 6, 1, 0, 2, 6, 10, 10, 1, 10, 1, 9, 1, 10, 1, 6, 6, 10, 10, 2, 10, 2, 2, 1, 6, 1, 1, 6, 1, 1, 6, 1, 2, 2, 2, 1, 6, 2, 1, 1, 2, 1, 6, 10, 2, 6, 10, 6, 2, 2, 10, 1, 2, 6, 1, 1, 6, 1, 6, 2, 1, 2, 10, 2, 1, 6, 5, 10, 1, 1, 1, 10, 2, 1, 6, 10, 2, 2, 10, 2, 6, 10, 2, 6, 1, 2, 10, 10, 6, 10, 6, 10, 2, 6, 10, 10, 6, 10, 1, 1, 6, 1, 6, 2, 10, 10, 2, 1, 2, 1, 10, 6, 6, 6, 10, 6, 2, 1, 2, 2, 6, 6, 2, 1, 10, 2, 2, 6, 2, 2, 2, 6, 1, 1, 2, 6, 2, 1, 1, 2, 1, 10, 6, 6, 6, 10, 6, 6, 1, 1, 10, 2, 1, 10, 1, 6, 2, 1, 10, 6, 1, 2, 6, 1, 10, 6, 1, 2, 10, 10, 10, 6, 2, 6, 2, 10, 6, 6, 2, 2, 2, 10, 6, 5, 1, 1, 1, 1, 10, 6, 10, 10, 9, 2, 10, 10, 6, 10, 2, 1, 1, 1, 1, 2, 1, 6, 6, 1, 1, 2, 2, 1, 10, 5, 6, 10, 2, 6, 1, 10, 6, 10, 6, 1, 1, 10, 10, 40, 6, 1, 2, 1, 10, 4, 6, 6, 2, 10, 10, 6, 6, 1, 1, 10, 2, 2, 1, 1, 6, 1, 6, 1, 10, 1, 2, 6, 4, 10, 6, 6, 6, 1, 1, 2, 2, 1, 6, 2, 2, 6, 6, 2, 2, 9, 1, 6, 2, 1, 10, 6, 6, 10, 1, 10, 2, 2, 2, 10, 2, 10, 2, 6, 10, 6, 6, 1, 2, 2, 2, 10, 2, 10, 6, 6, 10, 1, 8, 1, 2, 10, 10, 6, 2, 6, 10, 10, 5, 1, 1, 1, 4, 2, 1, 10, 2, 10, 2, 6, 10, 2, 2, 10, 1, 6, 1, 6, 6, 2, 10, 10, 9, 6, 6, 6, 60, 2, 2, 2, 2, 6, 6, 10, 2, 9, 5, 10, 1, 6, 1, 6, 6, 10, 2, 10, 6, 1, 6, 2, 1, 2, 10, 10, 10, 6, 2, 1, 10, 10, 2, 6, 1, 10, 10, 1, 6, 2, 6, 2, 10, 10, 10, 10, 1, 1, 6, 6, 2, 2, 6, 6, 6, 1, 6, 6, 6, 6, 6, 2, 6, 10, 1, 10, 2, 10, 2, 10, 6, 6, 1, 2, 1, 1, 6, 6, 10, 1, 1, 2, 6, 6, 1, 1, 1, 2, 1, 10, 2, 2, 6, 10, 1, 1, 1, 10, 2, 2, 2, 9, 10, 2, 1, 6, 6, 9, 6, 1, 6, 6, 2, 2, 1, 6, 6, 6, 6, 1, 2, 2, 10, 10, 6, 6, 2, 1, 6, 10, 6, 1, 6, 6, 6, 6, 1, 6, 6, 1, 6, 10, 6, 6, 2, 10, 1, 10, 6, 1, 1, 10, 1, 1, 6, 1, 1, 6, 6, 10, 10, 2, 2, 2, 1, 2, 1, 1, 10, 6, 1, 2, 1, 2, 1, 1, 6, 2, 6, 1, 1, 6, 2, 1, 6, 1, 10, 2, 1, 6, 10, 2, 6, 1, 2, 1, 1, 9, 1, 1, 2, 2, 2, 10, 2, 2, 6, 1, 6, 1, 6, 2, 10, 1, 2, 2, 1, 6, 10, 6, 1, 2, 1, 6, 10, 10, 6, 2, 10, 1, 6, 2, 1, 6, 10, 2, 1, 6, 1, 0, 10, 6, 1, 10, 6, 6, 1, 9, 10, 2, 2, 6, 1, 1, 6, 2, 10, 1, 1, 10, 1, 2, 6, 2, 10, 1, 2, 1, 10, 2, 2, 10, 2, 2, 2, 10, 1, 6, 10, 10, 10, 6, 1, 1, 10, 2, 2, 10, 6, 6, 1, 6, 1, 1, 6, 6, 1, 2, 10, 10, 2, 2, 2, 6, 2, 1, 1, 6, 10, 2, 2, 2, 2, 2, 1, 1, 10, 2, 2, 6, 2, 2, 9, 2, 10, 6, 10, 2, 10, 1, 2, 6, 6, 6, 10, 6, 2, 2, 2, 6, 2, 6, 1, 2, 6, 2, 6, 1, 2, 6, 2, 10, 1, 2, 10, 2, 1, 6, 1, 1, 10, 1, 1, 10, 2, 6, 6, 10, 10, 1, 6, 10, 6, 1, 10, 10, 6, 1, 2, 10, 10, 10, 10, 1, 2, 6, 1, 6, 10, 6, 10, 10, 1, 1, 6, 10, 1, 1, 10, 6, 2, 2, 6, 2, 1, 2, 10, 10, 2, 10, 2, 10, 2, 1, 2, 2, 2, 6, 1, 6, 6, 6, 1, 2, 1, 6, 6, 10, 10, 2, 6, 10, 10, 6, 6, 0, 1, 6, 10, 1, 1, 10, 2, 10, 6, 6, 10, 6, 6, 1, 6, 2, 4, 6, 1, 2, 6, 2, 6, 2, 1, 2, 6, 4, 6, 2, 2, 0, 2, 2, 10, 6, 2, 6, 6, 1, 1, 1, 6, 4, 6, 2, 6, 6, 2, 1, 2, 4, 2, 2, 1, 6, 6, 1, 1, 2, 6, 1, 6, 2, 6, 1, 2, 6, 5, 6, 1, 1, 10, 6, 1, 10, 6, 1, 10, 2, 1, 0, 6, 2, 10, 10, 2, 2, 2, 10, 2, 1, 10, 2, 2, 1, 1, 10, 1, 10, 6, 1, 1, 10, 10, 1, 10, 1, 2, 1, 1, 6, 1, 10, 6, 10, 10, 6, 1, 2, 6, 2, 10, 6, 6, 1, 10, 5, 10, 1, 1, 6, 1, 6, 6, 1, 1, 10, 1, 10, 2, 10, 1, 2, 6, 1, 10, 1, 1, 1, 10, 6, 10, 10, 1, 10, 6, 6, 6, 2, 2, 1, 2, 10, 10, 0, 2, 2, 10, 6, 1, 1, 2, 6, 10, 10, 6, 4, 2, 2, 1, 6, 2, 1, 1, 1, 6, 2, 2, 10, 6, 10, 1, 10, 1, 6, 10, 10, 2, 2, 10, 2, 1, 10, 2, 1, 10, 1, 10, 6, 10, 1, 6, 1, 1, 2, 10, 1, 2, 1, 6, 10, 6, 2, 2, 1, 2, 2, 2, 10, 10, 2, 6, 10, 6, 10, 1, 10, 2, 2, 10, 6, 10, 2, 10, 2, 1, 10, 6, 6, 1, 10, 6, 6, 2, 6, 1, 2, 10, 1, 6, 10, 6, 1, 2, 6, 10, 1, 10, 10, 1, 1, 1, 6, 1, 6, 10, 1, 6, 6, 6, 10, 2, 10, 2, 2, 10, 2, 1, 1, 1, 6, 1, 2, 6, 1, 10, 6, 10, 2, 1, 10, 2, 2, 2, 10, 1, 6, 1, 6, 1, 6, 1, 1, 1, 6, 6, 6, 1, 10, 10, 2, 1, 1, 10, 2, 6, 2, 2, 6, 10, 6, 1, 6, 1, 1, 6, 10, 1, 6, 9, 6, 10, 10, 10, 6, 6, 1, 1, 10, 1, 6, 1, 9, 2, 2, 2, 6, 6, 6, 1, 10, 6, 6, 2, 6, 10, 1, 2, 1, 1, 1, 6, 10, 2, 6, 7, 10, 10, 10, 10, 1, 2, 1, 1, 10, 1, 6, 2, 10, 2, 10, 2, 1, 6, 9, 1, 6, 10, 2, 2, 6, 10, 6, 6, 1, 2, 9, 1, 1, 2, 10, 10, 2, 6, 10, 10, 2, 10, 6, 6, 6, 2, 6, 6, 10, 1, 6, 6, 1, 2, 6, 1, 1, 6, 1, 6, 6, 2, 10, 6, 2, 1, 10, 1, 1, 10, 10, 2, 1, 1, 2, 1, 2, 10, 2, 6, 6, 2, 1, 1, 2, 1, 1, 2, 1, 2, 10, 6, 10, 1, 5, 1, 2, 2, 10, 6, 2, 0, 2, 2, 10, 2, 2, 2, 6, 1, 6, 2, 2, 2, 6, 6, 1, 6, 10, 6, 1, 6, 10, 2, 2, 1, 6, 1, 1, 1, 2, 2, 1, 6, 10, 1, 10, 2, 2, 2, 10, 2, 1, 5, 6, 2, 10, 6, 1, 6, 10, 6, 10, 1, 2, 1, 1, 2, 2, 1, 2, 2, 10, 10, 1, 6, 10, 10, 6, 1, 1, 1, 6, 1, 1, 10, 1, 2, 10, 10, 10, 6, 1, 10, 10, 6, 60, 10, 2, 1, 6, 2, 10, 6, 10, 2, 2, 2, 10, 9, 10, 6, 2, 2, 2, 6, 6, 6, 1, 1, 1, 6, 6, 1, 6, 2, 6, 10, 2, 1, 1, 6, 10, 6, 1, 10, 6, 6, 4, 10, 9, 2, 2, 2, 10, 6, 2, 6, 1, 1, 6, 10, 1, 10, 2, 2, 2, 6, 6, 2, 2, 10, 10, 1, 1, 1, 1, 1, 6, 10, 2, 2, 6, 2, 2, 10, 2, 6, 6, 10, 1, 2, 2, 1, 6, 10, 6, 1, 1, 9, 1, 10, 1, 10, 6, 6, 10, 6, 2, 2, 2, 1, 10, 10, 6, 6, 2, 1, 10, 2, 6, 2, 1, 2, 1, 10, 0, 10, 2, 10, 10, 6, 1, 6, 2, 1, 6, 2, 1, 6, 6, 6, 6, 2, 1, 1, 10, 1, 5, 2, 6, 10, 1, 2, 6, 1, 6, 10, 1, 1, 1, 10, 2, 1, 10, 10, 10, 2, 6, 1, 6, 2, 1, 10, 10, 2, 10, 2, 1, 2, 10, 1, 10, 10, 2, 10, 9, 2, 1, 2, 2, 10, 6, 1, 1, 1, 6, 6, 1, 10, 10, 2, 10, 6, 10, 1, 6, 5, 2, 10, 6, 10, 10, 6, 2, 1, 1, 10, 6, 1, 6, 2, 6, 1, 1, 10, 2, 5, 1, 10, 10, 10, 10, 1, 6, 1, 1, 9, 6, 10, 6, 6, 6, 2, 6, 6, 6, 6, 10, 6, 2, 10, 1, 6, 2, 10, 2, 2, 10, 10, 1, 10, 6, 2, 1, 1, 6, 6, 9, 6, 10, 10, 2, 2, 6, 2, 10, 10, 1, 2, 1, 6, 1, 2, 10, 5, 2, 1, 10, 6, 10, 10, 6, 6, 2, 1, 6, 6, 1, 10, 6, 10, 2, 1, 6, 6, 2, 10, 1, 2, 1, 10, 6, 6, 6, 1, 2, 1, 1, 6, 6, 1, 2, 1, 2, 6, 2, 2, 2, 10, 1, 6, 6, 2, 1, 10, 10, 6, 1, 2, 2, 1, 10, 6, 6, 1, 10, 1, 10, 2, 6, 0, 10, 2, 6, 1, 10, 6, 2, 10, 10, 6, 2, 1, 1, 6, 1, 1, 10, 2, 6, 6, 2, 1, 2, 6, 2, 2, 10, 10, 1, 2, 1, 0, 10, 2, 1, 10, 2, 10, 10, 6, 2, 2, 6, 1, 1, 6, 9, 1, 10, 2, 10, 1, 6, 2, 2, 2, 1, 2, 2, 10, 2, 6, 10, 6, 6, 2, 4, 2, 10, 6, 10, 6, 10, 6, 10, 10, 2, 6, 10, 1, 1, 10, 1, 10, 6, 6, 1, 2, 6, 6, 1, 1, 10, 1, 1, 1, 2, 1, 6, 2, 10, 10, 1, 1, 2, 6, 1, 1, 2, 1, 10, 10, 1, 6, 6, 2, 2, 10, 6, 2, 6, 1, 6, 2, 6, 6, 10, 6, 1, 1, 6, 10, 6, 10, 1, 1, 1, 2, 10, 6, 10, 1, 10, 1, 9, 10, 6, 10, 10, 10, 2, 10, 6, 2, 6, 6, 10, 2, 6, 2, 10, 10, 1, 10, 6, 6, 9, 1, 2, 1, 2, 6, 10, 1, 10, 1, 6, 1, 6, 2, 1, 6, 6, 2, 1, 10, 2, 6, 2, 2, 10, 2, 10, 2, 1, 2, 6, 2, 10, 1, 1, 10, 1, 1, 1, 2, 10, 6, 2, 1, 6, 10, 1, 6, 6, 2, 10, 6, 6, 10, 10, 2, 6, 10, 6, 1, 10, 2, 6, 6, 2, 1, 6, 6, 2, 2, 10, 10, 9, 6, 10, 6, 1, 1, 1, 2, 2, 10, 10, 10, 6, 1, 1, 1, 2, 10, 2, 6, 6, 6, 1, 1, 2, 1, 10, 1, 10, 2, 10, 2, 2, 6, 2, 6, 1, 1, 1, 10, 2, 6, 5, 1, 2, 50, 2, 2, 2, 10, 6, 1, 2, 1, 2, 1, 2, 1, 10, 1, 10, 1, 1, 1, 10, 6, 6, 2, 10, 2, 6, 10, 1, 2, 10, 10, 6, 7, 1, 2, 10, 2, 10, 2, 10, 10, 6, 6, 6, 6, 5, 6, 2, 1, 1, 2, 6, 10, 2, 2, 10, 1, 2, 10, 2, 1, 6, 2, 6, 6, 1, 6, 1, 6, 6, 6, 60, 2, 2, 2, 1, 1, 10, 10, 6, 10, 1, 10, 1, 10, 10, 2, 1, 1, 10, 1, 6, 10, 2, 6, 6, 1, 1, 6, 1, 1, 10, 1, 2, 10, 1, 2, 10, 10, 2, 1, 1, 1, 1, 1, 10, 2, 10, 1, 2, 2, 2, 1, 5, 6, 2, 6, 10, 1, 6, 6, 6, 10, 6, 10, 10, 1, 1, 1, 1, 6, 10, 2, 1, 2, 2, 6, 1, 1, 10, 2, 10, 2, 2, 2, 2, 1, 2, 1, 2, 2, 10, 2, 6, 2, 6, 10, 2, 6, 10, 10, 10, 1, 10, 2, 1, 1, 10, 6, 2, 1, 2, 6, 10, 6, 6, 1, 1, 2, 2, 2, 10, 10, 10, 10, 2, 1, 1, 1, 10, 6, 10, 2, 1, 10, 6, 10, 1, 6, 10, 6, 1, 1, 2, 1, 6, 2, 6, 10, 2, 10, 10, 6, 10, 10, 6, 10, 6, 2, 6, 10, 10, 2, 2, 2, 6, 6, 10, 10, 6, 2, 6, 2, 6, 2, 1, 10, 2, 6, 2, 1, 1, 6, 2, 2, 2, 6, 2, 1, 2, 10, 2, 1, 1, 6, 1, 1, 6, 1, 2, 1, 2, 9, 2, 1, 6, 10, 10, 6, 6, 6, 2, 10, 1, 2, 6, 6, 6, 1, 2, 2, 1, 10, 1, 2, 10, 6, 6, 2, 1, 6, 6, 1, 0, 10, 10, 2, 10, 10, 6, 6, 10, 1, 6, 6, 1, 2, 10, 10, 10, 2, 9, 1, 1, 10, 2, 10, 10, 2, 6, 6, 6, 6, 10, 1, 6, 10, 6, 2, 2, 1, 10, 6, 1, 10, 2, 2, 10, 1, 2, 2, 2, 2, 6, 2, 1, 2, 6, 6, 10, 10, 6, 10, 10, 6, 10, 1, 6, 1, 9, 1, 10, 6, 1, 1, 1, 10, 2, 10, 1, 1, 10, 1, 1, 2, 1, 2, 1, 1, 2, 10, 2, 2, 1, 1, 10, 6, 6, 1, 2, 6, 2, 1, 0, 2, 6, 5, 10, 1, 6, 1, 10, 2, 1, 10, 6, 2, 1, 1, 1, 6, 6, 1, 1, 6, 2, 1, 6, 1, 6, 9, 9, 10, 1, 1, 10, 1, 10, 10, 2, 6, 1, 1, 10, 6, 10, 6, 1, 1, 10, 2, 6, 2, 1, 2, 1, 1, 10, 10, 6, 0, 6, 6, 1, 10, 1, 10, 1, 2, 1, 6, 10, 10, 10, 1, 10, 6, 1, 10, 6, 1, 6, 6, 6, 2, 10, 6, 6, 6, 6, 1, 2, 2, 6, 10, 2, 1, 6, 1, 1, 1, 2, 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10, 1, 6, 2, 2, 6, 10, 1, 6, 6, 1, 5, 9, 10, 1, 2, 1, 6, 2, 1, 0, 10, 10, 1, 2, 2, 10, 6, 10, 1, 1, 5, 6, 2, 1, 2, 2, 1, 10, 1, 2, 10, 1, 6, 2, 1, 9, 6, 1, 1, 1, 9, 1, 2, 6, 10, 6, 1, 10, 2, 10, 1, 1, 2, 9, 2, 2, 1, 2, 10, 6, 10, 2, 6, 10, 10, 6, 1, 10, 6, 2, 10, 2, 1, 6, 10, 1, 1, 2, 10, 6, 6, 2, 6, 1, 6, 10, 2, 2, 10, 6, 10, 1, 1, 2, 6, 10, 6, 6, 10, 1, 1, 10, 10, 1, 1, 2, 2, 2, 6, 1, 2, 6, 10, 1, 10, 1, 10, 2, 2, 1, 6, 6, 1, 10, 10, 6, 5, 10, 2, 4, 10, 2, 4, 2, 6, 10, 6, 10, 1, 10, 10, 6, 2, 1, 10, 6, 6, 2, 6, 6, 2, 10, 6, 1, 6, 1, 1, 2, 1, 6, 6, 2, 2, 2, 2, 1, 10, 2, 2, 2, 2, 6, 6, 2, 6, 8, 10, 10, 2, 6, 6, 6, 2, 6, 6, 1, 6, 10, 10, 2, 1, 2, 10, 10, 1, 6, 2, 2, 6, 1, 10, 2, 1, 6, 10, 6, 2, 10, 1, 6, 1, 10, 1, 6, 6, 9, 6, 0, 1, 1, 10, 10, 10, 6, 10, 10, 2, 2, 6, 10, 1, 1, 6, 1, 2, 1, 10, 6, 10, 2, 2, 10, 2, 6, 1, 2, 2, 1, 10, 1, 8, 1, 1, 2, 10, 2, 10, 1, 1, 2, 10, 2, 1, 6, 2, 2, 1, 10, 10, 2, 6, 10, 1, 5, 1, 10, 2, 10, 6, 6, 2, 4, 10, 1, 1, 2, 2, 5, 1, 6, 1, 2, 2, 10, 10, 6, 2, 1, 1, 1, 1, 5, 2, 2, 2, 2, 6, 1, 2, 2, 10, 10, 2, 1, 1, 10, 10, 50, 10, 2, 10, 2, 2, 2, 2, 10, 1, 6, 10, 6, 1, 2, 1, 10, 6, 2, 1, 1, 2, 10, 2, 1, 10, 10, 1, 6, 6, 2, 6, 10, 10, 1, 10, 1, 2, 2, 10, 6, 1, 6, 2, 6, 2, 10, 6, 6, 6, 1, 10, 10, 10, 1, 1, 10, 2, 1, 1, 9, 10, 2, 1, 6, 6, 6, 6, 2, 2, 9, 6, 1, 2, 6, 10, 1, 10, 10, 1, 2, 6, 2, 1, 1, 6, 10, 10, 6, 10, 6, 10, 6, 8, 1, 1, 1, 2, 1, 1, 1, 1, 10, 6, 2, 1, 1, 1, 1, 1, 10, 6, 4, 10, 2, 6, 6, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 6, 2, 6, 10, 6, 6, 1, 1, 6, 6, 6, 2, 1, 1, 2, 6, 10, 6, 1, 1, 1, 1, 1, 1, 10, 10, 2, 10, 2, 1, 2, 10, 10, 10, 1, 1, 2, 1, 6, 6, 10, 10, 6, 1, 2, 2, 10, 10, 10, 10, 4, 6, 10, 10, 1, 2, 10, 1, 1, 1, 6, 6, 1, 10, 2, 1, 6, 10, 10, 6, 10, 1, 2, 1, 6, 2, 1, 2, 10, 4, 6, 1, 10, 2, 2, 6, 10, 6, 2, 10, 2, 2, 2, 10, 2, 2, 1, 10, 1, 1, 2, 2, 10, 1, 1, 1, 10, 10, 1, 1, 2, 10, 10, 6, 10, 6, 1, 1, 9, 10, 6, 2, 2, 10, 1, 6, 6, 2, 6, 5, 10, 2, 6, 2, 1, 0, 1, 2, 6, 2, 1, 10, 2, 1, 10, 1, 2, 1, 6, 10, 2, 1, 6, 2, 6, 1, 10, 10, 2, 2, 1, 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6, 10, 10, 2, 1, 2, 6, 1, 2, 6, 2, 1, 6, 1, 6, 6, 10, 6, 6, 2, 2, 6, 10, 1, 2, 6, 2, 2, 2, 1, 2, 2, 1, 10, 10, 2, 6, 2, 6, 6, 1, 10, 10, 2, 2, 1, 2, 6, 1, 6, 2, 2, 6, 10, 2, 1, 10, 1, 2, 10, 6, 6, 6, 10, 1, 10, 10, 10, 2, 10, 6, 1, 6, 1, 10, 2, 1, 1, 1, 1, 6, 1, 1, 2, 1, 2, 10, 2, 1, 10, 1, 10, 10, 1, 6, 1, 2, 2, 10, 10, 10, 1, 1, 1, 6, 6, 2, 10, 1, 10, 2, 2, 6, 10, 1, 1, 1, 6, 6, 1, 2, 5, 9, 2, 6, 10, 10, 1, 4, 2, 6, 10, 1, 2, 6, 4, 6, 1, 1, 1, 6, 10, 10, 1, 6, 1, 2, 6, 2, 6, 6, 10, 2, 6, 10, 6, 1, 10, 1, 1, 2, 2, 6, 2, 10, 1, 6, 10, 10, 1, 2, 10, 1, 1, 4, 2, 2, 10, 1, 10, 10, 6, 10, 2, 1, 10, 6, 6, 6, 10, 2, 1, 10, 6, 2, 6, 2, 6, 1, 6, 2, 2, 2, 2, 9, 10, 6, 10, 1, 10, 2, 1, 6, 6, 6, 6, 1, 2, 1, 1, 10, 6, 1, 10, 10, 6, 2, 6, 2, 6, 10, 2, 2, 1, 10, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 10, 6, 2, 10, 6, 2, 10, 2, 6, 6, 1, 2, 1, 6, 6, 10, 6, 1, 1, 2, 6, 2, 10, 10, 10, 10, 1, 5, 10, 1, 2, 1, 4, 10, 1, 1, 10, 2, 2, 2, 10, 10, 6, 2, 2, 6, 6, 6, 10, 2, 2, 10, 1, 6, 2, 10, 1, 2, 2, 10, 1, 2, 10, 10, 6, 5, 1, 6, 2, 6, 2, 1, 2, 5, 0, 6, 6, 2, 6, 2, 2, 5, 6, 1, 2, 6, 10, 6, 2, 1, 2, 1, 2, 10, 10, 10, 1, 1, 6, 10, 10, 1, 6, 2, 1, 6, 10, 2, 6, 6, 2, 10, 10, 10, 10, 2, 2, 10, 6, 10, 2, 6, 10, 1, 6, 6, 1, 10, 10, 2, 10, 6, 2, 2, 1, 10, 6, 1, 1, 2, 10, 6, 6, 6, 1, 2, 6, 2, 6, 2, 4, 10, 2, 10, 1, 6, 6, 10, 1, 10, 1, 6, 10, 6, 6, 6, 2, 2, 1, 6, 2, 2, 2, 2, 2, 10, 2, 6, 10, 10, 1, 10, 2, 6, 1, 6, 10, 10, 6, 10, 10, 6, 10, 6, 2, 10, 1, 6, 10, 2, 1, 2, 2, 0, 1, 6, 6, 1, 2, 2, 6, 2, 1, 1, 10, 2, 2, 9, 4, 10, 10, 10, 1, 6, 1, 2, 10, 9, 6, 2, 6, 1, 2, 2, 9, 1, 6, 2, 6, 10, 10, 1, 6, 6, 6, 1, 2, 6, 10, 10, 6, 2, 6, 1, 1, 6, 6, 2, 10, 0, 2, 1, 10, 10, 1, 1, 1, 10, 1, 1, 6, 10, 9, 2, 1, 2, 10, 6, 2, 10, 1, 6, 1, 2, 10, 6, 10, 6, 1, 10, 6, 2, 1, 10, 2, 5, 10, 2, 1, 2, 1, 10, 6, 1, 10, 1, 10, 6, 6, 1, 10, 6, 7, 2, 1, 6, 2, 10, 1, 2, 10, 10, 1, 6, 6, 10, 10, 1, 1, 10, 1, 2, 0, 1, 10, 1, 6, 6, 10, 2, 10, 1, 1, 6, 1, 1, 1, 10, 6, 6, 2, 1, 1, 1, 1, 1, 2, 1, 6, 6, 1, 2, 2, 6, 2, 1, 1, 1, 2, 1, 6, 2, 10, 10, 6, 6, 10, 10, 6, 6, 0, 10, 9, 10, 2, 2, 10, 1, 1, 10, 10, 1, 10, 2, 1, 2, 6, 6, 6, 1, 1, 10, 2, 6, 10, 2, 6, 1, 10, 6, 6, 2, 6, 10, 6, 1, 10, 1, 10, 9, 10, 1, 1, 1, 9, 10, 10, 10, 10, 1, 2, 1, 0, 2, 1, 2, 6, 6, 1, 1, 1, 1, 10, 2, 1, 10, 6, 10, 1, 2, 10, 6, 10, 10, 2, 10, 1, 6, 6, 1, 6, 1, 6, 6, 1, 1, 10, 6, 2, 10, 2, 6, 6, 1, 6, 6, 1, 2, 2, 10, 10, 6, 1, 2, 2, 10, 10, 6, 1, 1, 1, 2, 2, 6, 1, 6, 10, 1, 10, 2, 2, 2, 6, 10, 10, 2, 1, 10, 2, 1, 2, 6, 1, 1, 10, 6, 6, 4, 5, 1, 10, 2, 6, 6, 6, 6, 1, 10, 1, 2, 2, 1, 10, 10, 10, 1, 10, 6, 10, 1, 2, 2, 2, 6, 2, 9, 10, 10, 10, 6, 2, 2, 6, 1, 1, 2, 1, 6, 1, 2, 1, 6, 10, 10, 6, 1, 2, 1, 6, 6, 2, 1, 10, 10, 2, 1, 1, 2, 6, 1, 1, 10, 1, 2, 2, 1, 2, 1, 10, 1, 10, 1, 10, 10, 2, 6, 1, 2, 1, 1, 10, 2, 6, 2, 1, 1, 1, 10, 6, 10, 2, 10, 6, 10, 1, 10, 10, 2, 1, 1, 2, 1, 1, 2, 6, 10, 10, 10, 6, 10, 10, 1, 10, 2, 6, 1, 1, 2, 6, 2, 2, 1, 6, 9, 4, 6, 10, 1, 2, 2, 2, 5, 1, 1, 1, 10, 1, 2, 6, 6, 1, 1, 1, 1, 2, 2, 2, 2, 1, 5, 10, 1, 10, 6, 1, 6, 2, 2, 6, 2, 10, 6, 2, 6, 2, 2, 2, 6, 6, 2, 1, 10, 2, 2, 6, 6, 10, 6, 1, 1, 6, 2, 1, 4, 2, 6, 1, 10, 2, 2, 10, 6, 10, 6, 10, 1, 10, 9, 10, 2, 2, 10, 6, 10, 2, 8, 1, 1, 6, 10, 10, 2, 10, 6, 4, 1, 6, 1, 6, 2, 10, 6, 2, 10, 2, 10, 1, 6, 2, 6, 6, 9, 6, 2, 6, 1, 10, 6, 6, 2, 2, 1, 1, 10, 6, 2, 10, 2, 2, 1, 6, 2, 10, 6, 10, 10, 6, 1, 6, 10, 6, 1, 2, 6, 1, 6, 4, 2, 6, 10, 1, 6, 2, 2, 1, 2, 10, 10, 10, 10, 2, 6, 9, 10, 10, 2, 2, 2, 1, 1, 2, 10, 10, 6, 2, 10, 6, 6, 2, 2, 10, 6, 2, 10, 2, 1, 2, 1, 6, 2, 6, 10, 2, 6, 10, 1, 1, 10, 1, 10, 10, 6, 6, 1, 6, 10, 2, 10, 2, 6, 1, 6, 4, 10, 10, 2, 1, 1, 2, 10, 6, 1, 6, 10, 2, 2, 1, 6, 10, 6, 1, 6, 6, 10, 10, 10, 10, 10, 1, 5, 10, 2, 6, 2, 6, 2, 6, 6, 2, 10, 10, 1, 6, 10, 2, 6, 10, 1, 1, 10, 10, 6, 1, 2, 2, 6, 10, 1, 10, 6, 2, 1, 6, 6, 10, 1, 10, 2, 1, 6, 6, 2, 6, 1, 2, 1, 1, 10, 1, 6, 2, 6, 6, 2, 10, 1, 10, 10, 1, 10, 1, 10, 1, 2, 10, 6, 2, 1, 10, 2, 1, 2, 1, 10, 10, 6, 9, 2, 2, 6, 1, 5, 10, 1, 10, 1, 5, 10, 6, 6, 10, 6, 1, 6, 4, 6, 2, 6, 2, 10, 6, 6, 2, 6, 1, 2, 2, 1, 2, 6, 2, 10, 2, 9, 10, 6, 6, 4, 6, 1, 2, 2, 2, 2, 2, 6, 6, 2, 6, 10, 1, 6, 10, 10, 1, 1, 1, 6, 2, 6, 10, 2, 9, 1, 1, 1, 6, 6, 2, 1, 1, 10, 6, 6, 2, 1, 1, 2, 2, 10, 10, 2, 6, 10, 10, 6, 10, 10, 1, 10, 10, 2, 10, 2, 2, 6, 2, 6, 1, 2, 6, 2, 10, 2, 10, 2, 2, 1, 10, 1, 10, 1, 2, 10, 1, 10, 6, 2, 4, 2, 2, 2, 10, 6, 1, 2, 10, 10, 10, 1, 10, 2, 1, 6, 6, 6, 10, 2, 6, 6, 1, 6, 1, 6, 10, 6, 1, 2, 2, 10, 1, 6, 1, 1, 2, 10, 10, 1, 10, 1, 10, 1, 10, 2, 1, 1, 1, 10, 6, 1, 6, 10, 1, 1, 10, 10, 1, 4, 1, 2, 2, 10, 6, 9, 1, 6, 10, 10, 2, 2, 10, 1, 6, 1, 1, 10, 6, 10, 10, 10, 10, 10, 1, 1, 10, 10, 1, 10, 1, 6, 10, 6, 10, 6, 10, 10, 2, 2, 10, 6, 2, 1, 2, 6, 10, 10, 10, 6, 10, 1, 10, 1, 10, 6, 1, 10, 10, 10, 10, 1, 10, 4, 2, 1, 2, 6, 2, 2, 2, 1, 1, 6, 6, 10, 10, 6, 2, 2, 10, 10, 6, 1, 10, 6, 6, 10, 1, 1, 5, 6, 1, 10, 10, 0, 1, 2, 1, 2, 6, 6, 2, 10, 4, 6, 2, 10, 1, 10, 5, 6, 1, 1, 6, 6, 1, 6, 1, 6, 10, 10, 1, 1, 1, 1, 6, 2, 6, 0, 10, 6, 2, 6, 6, 6, 2, 0, 1, 1, 10, 6, 6, 10, 1, 10, 6, 6, 6, 1, 10, 1, 6, 6, 2, 10, 1, 1, 1, 2, 10, 6, 10, 1, 10, 10, 1, 10, 10, 1, 6, 10, 6, 10, 10, 2, 6, 2, 6, 10, 2, 1, 6, 2, 2, 2, 2, 10, 10, 9, 10, 6, 2, 1, 6, 10, 10, 1, 6, 9, 2, 1, 2, 1, 6, 1, 6, 6, 6, 1, 10, 2, 10, 6, 6, 2, 2, 2, 10, 10, 10, 6, 6, 10, 6, 1, 10, 6, 2, 10, 10, 2, 10, 10, 1, 10, 2, 10, 6, 1, 1, 2, 2, 6, 10, 6, 10, 2, 2, 6, 10, 10, 1, 6, 0, 2, 10, 4, 6, 2, 1, 1, 10, 1, 0, 1, 10, 6, 10, 2, 6, 10, 2, 10, 10, 1, 1, 6, 1, 6, 10, 2, 6, 1, 2, 2, 6, 2, 1, 10, 10, 10, 10, 2, 1, 6, 6, 0, 2, 6, 2, 6, 1, 1, 2, 2, 10, 10, 2, 10, 6, 10, 2, 1, 0, 2, 1, 6, 1, 2, 4, 6, 1, 2, 1, 10, 2, 2, 2, 2, 6, 10, 1, 10, 10, 10, 10, 2, 10, 10, 1, 1, 2, 10, 1, 1, 6, 2, 1, 1, 2, 6, 2, 6, 10, 2, 10, 6, 2, 2, 1, 2, 10, 10, 10, 10, 6, 2, 1, 10, 1, 6, 1, 1, 5, 1, 2, 0, 10, 0, 1, 2, 1, 10, 10, 2, 10, 1, 10, 1, 6, 1, 6, 10, 6, 1, 6, 10, 6, 10, 10, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 10, 2, 2, 1, 2, 6, 2, 10, 6, 10, 10, 10, 6, 1, 2, 9, 10, 2, 2, 6, 10, 1, 1, 10, 2, 10, 6, 1, 6, 2, 1, 6, 6, 10, 2, 10, 4, 6, 6, 10, 6, 2, 2, 1, 10, 1, 6, 1, 2, 10, 2, 2, 1, 2, 2, 1, 9, 10, 10, 2, 6, 10, 6, 2, 6, 2, 10, 1, 6, 10, 6, 2, 1, 10, 1, 6, 6, 1, 10, 2, 6, 10, 10, 2, 10, 2, 1, 10, 2, 2, 6, 6, 6, 2, 10, 10, 6, 10, 6, 10, 1, 1, 1, 1, 1, 1, 2, 6, 6, 6, 6, 1, 2, 10, 9, 1, 10, 6, 5, 6, 2, 1, 6, 10, 10, 1, 2, 1, 1, 2, 10, 1, 1, 2, 1, 10, 10, 6, 1, 6, 1, 10, 1, 2, 4, 2, 6, 2, 10, 2, 10, 4, 6, 6, 3, 6, 1, 10, 2, 6, 2, 2, 6, 2, 10, 10, 10, 6, 6, 1, 2, 10, 1, 6, 1, 6, 6, 6, 2, 2, 10, 9, 2, 6, 1, 2, 1, 2, 1, 1, 1, 6, 2, 6, 10, 2, 2, 6, 1, 2, 2, 1, 2, 10, 10, 2, 1, 2, 1, 10, 1, 1, 6, 10, 6, 6, 2, 9, 6, 2, 2, 1, 2, 10, 1, 10, 6, 1, 6, 1, 1, 10, 6, 6, 10, 6, 1, 1, 6, 5, 1, 1, 1, 2, 6, 1, 2, 6, 6, 6, 10, 2, 10, 10, 10, 10, 2, 4, 2, 9, 6, 2, 2, 6, 1, 2, 2, 6, 2, 10, 2, 10, 2, 1, 2, 10, 1, 6, 10, 2, 10, 2, 2, 2, 1, 6, 1, 2, 10, 10, 2, 5, 6, 1, 6, 6, 1, 1, 2, 6, 2, 2, 10, 1, 2, 10, 2, 6, 1, 10, 1, 2, 6, 2, 10, 6, 1, 2, 1, 10, 1, 6, 6, 1, 1, 6, 2, 10, 10, 1, 10, 1, 10, 1, 1, 6, 10, 0, 6, 6, 2, 2, 6, 2, 1, 2, 1, 1, 2, 1, 2, 2, 6, 10, 6, 10, 2, 2, 10, 1, 6, 5, 1, 6, 1, 5, 6, 2, 2, 10, 1, 6, 1, 6, 10, 10, 1, 10, 6, 6, 6, 10, 6, 2, 6, 2, 10, 2, 6, 10, 6, 10, 2, 1, 10, 6, 10, 2, 10, 10, 1, 1, 1, 6, 2, 10, 10, 6, 2, 6, 10, 2, 2, 2, 10, 1, 10, 2, 1, 2, 2, 2, 2, 10, 2, 1, 2, 10, 6, 6, 6, 1, 1, 1, 1, 10, 10, 10, 6, 2, 10, 2, 1, 2, 10, 1, 10, 10, 2, 6, 10, 2, 2, 2, 2, 6, 10, 1, 1, 6, 0, 1, 10, 6, 10, 2, 10, 10, 2, 10, 10, 10, 0, 10, 10, 10, 1, 6, 6, 2, 6, 2, 1, 1, 6, 10, 2, 1, 10, 2, 1, 6, 1, 2, 10, 10, 1, 6, 10, 10, 10, 1, 2, 6, 10, 1, 2, 1, 6, 6, 10, 2, 10, 2, 2, 2, 2, 2, 2, 6, 9, 6, 6, 10, 1, 2, 10, 2, 6, 6, 10, 6, 1, 2, 1, 1, 6, 6, 1, 2, 6, 10, 6, 6, 6, 6, 6, 2, 1, 1, 10, 2, 1, 10, 5, 6, 6, 6, 1, 10, 1, 6, 9, 10, 2, 6, 1, 2, 10, 1, 1, 10, 10, 1, 2, 6, 1, 2, 1, 2, 1, 2, 10, 10, 2, 6, 60, 2, 5, 2, 1, 2, 1, 1, 2, 1, 6, 2, 10, 6, 1, 2, 1, 6, 6, 1, 10, 2, 1, 10, 2, 10, 6, 10, 1, 9, 6, 6, 1, 1, 10, 6, 1, 1, 10, 10, 6, 1, 6, 1, 2, 6, 1, 2, 2, 6, 10, 10, 10, 10, 0, 6, 6, 2, 2, 6, 10, 10, 6, 2, 6, 6, 2, 2, 1, 2, 6, 6, 10, 1, 1, 10, 2, 6, 6, 6, 6, 10, 1, 1, 6, 10, 1, 6, 10, 2, 10, 6, 1, 1, 10, 2, 1, 6, 1, 6, 1, 1, 10, 4, 1, 5, 2, 1, 1, 6, 6, 6, 2, 6, 1, 6, 1, 1, 10, 6, 2, 6, 10, 2, 10, 10, 6, 10, 6, 1, 10, 1, 6, 1, 6, 10, 10, 10, 1, 1, 2, 10, 2, 1, 1, 0, 6, 6, 10, 10, 10, 2, 2, 1, 6, 2, 1, 1, 6, 2, 10, 10, 0, 6, 10, 1, 6, 6, 2, 6, 6, 2, 2, 1, 1, 10, 2, 1, 6, 2, 10, 10, 6, 6, 6, 2, 1, 5, 10, 10, 10, 6, 10, 10, 6, 1, 2, 1, 2, 1, 10, 10, 10, 2, 1, 1, 6, 2, 6, 2, 6, 2, 2, 1, 6, 1, 2, 2, 10, 6, 2, 2, 10, 6, 6, 10, 10, 1, 10, 6, 6, 6, 1, 2, 6, 1, 2, 2, 2, 6, 1, 2, 6, 6, 1, 1, 2, 2, 2, 4, 10, 2, 1, 1, 6, 1, 1, 6, 1, 10, 1, 2, 6, 6, 1, 6, 6, 1, 6, 10, 10, 2, 6, 10, 6, 6, 6, 10, 1, 1, 1, 2, 10, 6, 6, 2, 1, 1, 1, 10, 0, 1, 10, 2, 6, 10, 1, 10, 2, 5, 10, 6, 10, 4, 2, 10, 10, 2, 10, 2, 0, 6, 1, 2, 2, 2, 6, 2, 6, 10, 1, 10, 2, 10, 10, 1, 2, 6, 1, 1, 1, 2, 6, 2, 10, 1, 2, 1, 1, 2, 10, 2, 2, 2, 2, 6, 10, 10, 2, 1, 1, 10, 6, 0, 1, 1, 1, 2, 2, 6, 2, 4, 1, 2, 1, 6, 10, 1, 9, 10, 1, 6, 10, 6, 2, 2, 10, 2, 6, 6, 1, 2, 10, 10, 2, 1, 1, 2, 1, 10, 6, 6, 2, 6, 6, 1, 10, 2, 6, 10, 10, 6, 2, 2, 6, 6, 10, 6, 1, 1, 6, 1, 10, 10, 2, 6, 2, 6, 2, 6, 10, 10, 6, 10, 10, 2, 10, 10, 10, 10, 6, 6, 10, 2, 6, 6, 1, 2, 6, 2, 10, 1, 2, 10, 1, 10, 2, 2, 10, 10, 6, 6, 6, 2, 6, 6, 10, 1, 1, 10, 2, 1, 6, 10, 10, 2, 10, 1, 1, 2, 1, 6, 1, 2, 10, 2, 1, 1, 10, 6, 10, 1, 1, 2, 2, 1, 6, 10, 6, 1, 6, 10, 6, 2, 2, 1, 0, 10, 2, 6, 1, 2, 10, 6, 10, 10, 1, 1, 6, 2, 10, 6, 6, 6, 6, 6, 1, 10, 6, 10, 10, 2, 1, 0, 2, 1, 1, 1, 10, 2, 10, 10, 2, 1, 6, 1, 1, 10, 1, 6, 1, 10, 6, 1, 1, 1, 5, 5, 10, 10, 2, 10, 1, 10, 10, 6, 6, 1, 2, 1, 10, 10, 10, 1, 9, 2, 6, 1, 6, 2, 2, 6, 1, 10, 2, 10, 1, 2, 1, 1, 6, 10, 10, 2, 6, 10, 1, 0, 6, 10, 1, 6, 2, 2, 2, 1, 10, 10, 6, 1, 6, 1, 10, 10, 1, 9, 1, 6, 2, 10, 6, 2, 2, 10, 2, 6, 6, 6, 2, 1, 10, 10, 1, 10, 6, 10, 6, 6, 6, 2, 6, 2, 10, 2, 6, 1, 10, 1, 10, 1, 2, 6, 1, 2, 10, 10, 6, 2, 1, 1, 10, 2, 1, 6, 10, 2, 6, 2, 1, 1, 10, 2, 1, 10, 6, 10, 6, 4, 6, 2, 10, 10, 2, 2, 6, 10, 4, 10, 6, 10, 10, 2, 6, 2, 6, 10, 2, 1, 2, 1, 10, 6, 10, 1, 1, 1, 2, 2, 6, 2, 6, 1, 1, 6, 6, 10, 9, 9, 6, 6, 1, 1, 10, 6, 2, 1, 10, 2, 1, 1, 1, 10, 10, 9, 6, 10, 10, 6, 2, 10, 10, 2, 1, 6, 1, 6, 2, 2, 10, 2, 6, 1, 2, 10, 2, 6, 6, 6, 6, 2, 10, 1, 10, 2, 5, 1, 1, 6, 10, 2, 2, 2, 1, 1, 10, 2, 2, 6, 10, 10, 10, 5, 2, 7, 6, 2, 1, 2, 2, 6, 6, 1, 10, 2, 1, 6, 6, 10, 0, 1, 10, 10, 1, 1, 1, 2, 10, 1, 10, 2, 6, 2, 6, 2, 1, 10, 2, 2, 6, 1, 2, 2, 10, 1, 2, 10, 2, 1, 10, 10, 2, 1, 2, 2, 10, 6, 6, 6, 4, 1, 6, 2, 10, 1, 6, 6, 2, 1, 6, 10, 6, 1, 6, 6, 10, 2, 2, 2, 1, 6, 6, 6, 6, 2, 1, 2, 1, 2, 1, 2, 1, 10, 1, 6, 1, 1, 2, 2, 6, 6, 1, 2, 6, 2, 10, 1, 2, 1, 1, 6, 2, 10, 10, 10, 6, 1, 1, 6, 1, 10, 10, 10, 5, 6, 2, 1, 2, 2, 6, 10, 10, 2, 10, 2, 10, 6, 6, 2, 10, 2, 6, 10, 10, 1, 2, 2, 2, 0, 2, 1, 10, 6, 10, 6, 10, 2, 1, 2, 6, 1, 10, 1, 1, 6, 6, 2, 2, 1, 10, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 10, 10, 2, 2, 4, 1, 2, 10, 6, 2, 6, 1, 1, 6, 6, 2, 0, 6, 1, 10, 1, 2, 6, 1, 2, 10, 1, 6, 5, 6, 6, 2, 1, 2, 6, 5, 10, 2, 1, 2, 6, 6, 10, 4, 6, 10, 2, 2, 6, 6, 10, 6, 6, 10, 10, 6, 10, 10, 10, 10, 2, 2, 1, 10, 10, 2, 6, 2, 2, 2, 2, 6, 10, 10, 2, 6, 2, 1, 2, 2, 6, 1, 2, 10, 1, 6, 6, 2, 1, 1, 1, 6, 6, 10, 10, 2, 10, 10, 1, 1, 10, 2, 1, 6, 6, 6, 6, 10, 6, 6, 2, 2, 2, 1, 1, 10, 10, 10, 10, 10, 6, 6, 2, 10, 1, 4, 2, 5, 1, 5, 6, 2, 6, 10, 1, 6, 10, 1, 10, 9, 10, 10, 10, 10, 2, 10, 6, 6, 1, 5, 1, 6, 10, 6, 6, 6, 10, 2, 6, 2, 6, 10, 9, 1, 2, 2, 2, 1, 2, 2, 1, 1, 10, 6, 2, 6, 1, 10, 10, 1, 10, 1, 10, 6, 2, 2, 6, 6, 1, 6, 2, 10, 6, 2, 6, 1, 4, 2, 10, 10, 1, 1, 6, 10, 6, 6, 10, 2, 10, 2, 6, 2, 10, 2, 10, 6, 10, 10, 1, 10, 10, 1, 2, 1, 2, 6, 10, 2, 10, 10, 1, 1, 10, 6, 10, 10, 1, 10, 6, 6, 2, 6, 2, 10, 1, 6, 2, 1, 1, 10, 9, 6, 1, 1, 1, 2, 2, 1, 10, 10, 1, 6, 10, 10, 1, 10, 1, 1, 10, 6, 6, 2, 1, 2, 1, 2, 2, 1, 6, 10, 10, 2, 2, 10, 2, 2, 6, 2, 6, 2, 1, 1, 2, 1, 1, 6, 2, 10, 10, 10, 6, 2, 2, 6, 1, 2, 6, 6, 1, 10, 10, 6, 6, 2, 10, 10, 1, 2, 1, 2, 10, 10, 6, 1, 6, 10, 1, 6, 10, 6, 1, 1, 1, 1, 6, 10, 2, 1, 1, 1, 1, 0, 1, 1, 10, 1, 2, 2, 6, 10, 10, 10, 6, 6, 2, 1, 6, 2, 6, 0, 2, 6, 1, 6, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 6, 2, 6, 6, 6, 10, 2, 6, 6, 6, 10, 6, 1, 10, 10, 5, 6, 1, 2, 10, 2, 1, 1, 10, 6, 10, 1, 10, 10, 1, 1, 1, 6, 2, 1, 1, 2, 2, 6, 6, 2, 2, 5, 6, 10, 6, 10, 6, 6, 1, 2, 10, 1, 6, 2, 1, 1, 2, 6, 1, 10, 1, 10, 1, 6, 4, 2, 10, 0, 6, 10, 10, 2, 1, 10, 6, 1, 6, 1, 2, 10, 2, 2, 6, 6, 6, 2, 1, 2, 9, 10, 2, 2, 1, 2, 1, 2, 6, 6, 9, 2, 4, 2, 2, 2, 10, 2, 1, 10, 6, 10, 6, 10, 1, 1, 6, 1, 6, 2, 6, 2, 10, 10, 10, 2, 10, 6, 10, 6, 9, 6, 1, 2, 10, 10, 1, 10, 6, 2, 2, 10, 1, 10, 2, 6, 6, 10, 6, 1, 6, 1, 6, 2, 1, 6, 1, 1, 2, 1, 10, 6, 1, 10, 2, 10, 6, 2, 6, 6, 1, 1, 2, 1, 6, 10, 10, 10, 1, 2, 1, 10, 6, 2, 2, 1, 6, 2, 1, 1, 10, 10, 6, 6, 10, 2, 10, 2, 6, 1, 2, 6, 10, 10, 1, 1, 10, 10, 10, 0, 6, 6, 2, 10, 1, 10, 1, 10, 6, 1, 10, 10, 2, 10, 6, 1, 2, 2, 1, 10, 6, 1, 6, 10, 1, 6, 6, 2, 6, 2, 10, 1, 10, 2, 2, 10, 10, 10, 1, 10, 2, 2, 1, 6, 2, 2, 1, 10, 6, 1, 10, 6, 2, 2, 1, 1, 10, 9, 6, 2, 6, 2, 1, 6, 1, 1, 1, 10, 6, 2, 10, 1, 6, 6, 10, 2, 10, 10, 2, 6, 1, 6, 10, 10, 2, 1, 10, 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10, 10, 6, 6, 1, 6, 10, 4, 10, 10, 10, 6, 6, 6, 1, 2, 2, 10, 6, 2, 6, 10, 10, 6, 2, 10, 10, 2, 10, 6, 1, 2, 2, 4, 6, 1, 1, 6, 1, 2, 2, 2, 2, 1, 1, 1, 2, 6, 2, 2, 1, 10, 10, 6, 6, 10, 2, 2, 6, 2, 10, 2, 2, 5, 2, 2, 1, 6, 1, 2, 6, 1, 2, 6, 10, 6, 1, 10, 1, 2, 6, 6, 10, 10, 1, 1, 10, 10, 6, 10, 10, 1, 10, 10, 6, 10, 6, 2, 2, 2, 6, 1, 6, 6, 0, 2, 5, 6, 2, 6, 2, 6, 6, 1, 2, 10, 10, 10, 2, 6, 2, 1, 1, 2, 6, 2, 1, 1, 2, 6, 6, 10, 6, 1, 6, 2, 2, 2, 6, 6, 1, 10, 6, 1, 1, 10, 10, 6, 6, 10, 1, 1, 6, 10, 1, 6, 6, 10, 10, 1, 1, 2, 2, 2, 2, 2, 1, 6, 2, 4, 2, 2, 10, 1, 10, 6, 10, 1, 1, 10, 1, 1, 10, 6, 1, 6, 10, 1, 4, 6, 1, 1, 6, 6, 1, 5, 6, 1, 6, 10, 10, 10, 1, 2, 6, 6, 1, 1, 1, 6, 6, 10, 2, 1, 6, 1, 1, 2, 2, 2, 10, 6, 6, 1, 2, 2, 1, 2, 10, 6, 2, 10, 10, 10, 10, 6, 10, 1, 10, 2, 1, 10, 2, 10, 10, 1, 10, 2, 1, 10, 6, 6, 10, 0, 0, 6, 2, 2, 6, 6, 5, 1, 6, 1, 10, 2, 6, 10, 10, 2, 1, 2, 2, 6, 2, 6, 2, 2, 0, 10, 6, 6, 1, 6, 9, 6, 2, 1, 1, 1, 10, 2, 6, 2, 2, 1, 1, 10, 10, 2, 2, 2, 1, 1, 6, 6, 6, 10, 1, 10, 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1, 2, 10, 6, 2, 1, 10, 1, 10, 10, 1, 10, 1, 50, 1, 10, 10, 10, 1, 4, 1, 2, 2, 6, 6, 10, 2, 10, 10, 0, 2, 1, 10, 6, 10, 1, 1, 6, 1, 10, 2, 6, 10, 10, 6, 1, 1, 1, 2, 2, 6, 1, 6, 2, 6, 6, 1, 2, 2, 10, 1, 1, 6, 10, 1, 1, 10, 2, 10, 2, 9, 2, 6, 5, 1, 10, 2, 6, 10, 2, 10, 6, 1, 2, 2, 10, 6, 2, 2, 10, 10, 1, 1, 6, 6, 10, 6, 6, 1, 2, 2, 6, 2, 2, 10, 6, 2, 2, 2, 10, 6, 6, 1, 10, 1, 6, 1, 2, 6, 10, 2, 10, 10, 6, 10, 2, 10, 2, 4, 6, 9, 10, 10, 6, 6, 6, 10, 2, 10, 10, 10, 1, 10, 6, 1, 6, 1, 6, 6, 2, 2, 1, 0, 6, 1, 1, 6, 2, 2, 10, 0, 10, 6, 6, 10, 10, 1, 6, 10, 2, 6, 10, 6, 1, 6, 6, 1, 1, 2, 6, 2, 6, 1, 1, 10, 10, 1, 4, 10, 1, 2, 1, 2, 1, 1, 2, 2, 2, 6, 2, 10, 6, 6, 6, 2, 10, 2, 2, 2, 6, 10, 1, 6, 10, 2, 2, 10, 6, 10, 1, 10, 1, 6, 1, 1, 6, 2, 2, 2, 1, 2, 5, 2, 6, 6, 6, 6, 2, 2, 1, 10, 2, 1, 10, 2, 2, 10, 10, 6, 6, 10, 2, 1, 6, 2, 10, 1, 2, 10, 10, 6, 1, 1, 1, 0, 1, 1, 6, 10, 6, 10, 6, 6, 6, 1, 10, 2, 2, 2, 6, 6, 10, 6, 2, 10, 1, 1, 2, 1, 2, 2, 2, 1, 6, 6, 1, 1, 6, 1, 9, 10, 10, 1, 10, 2, 6, 2, 2, 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6, 2, 10, 6, 2, 1, 2, 6, 1, 6, 10, 6, 1, 6, 2, 1, 6, 6, 6, 10, 10, 2, 5, 1, 2, 2, 2, 10, 2, 2, 6, 10, 1, 2, 1, 6, 10, 6, 6, 6, 0, 6, 5, 40, 1, 6, 10, 6, 2, 2, 6, 1, 10, 6, 2, 10, 2, 6, 1, 9, 2, 1, 6, 1, 10, 5, 2, 1, 2, 2, 1, 9, 1, 1, 1, 2, 6, 1, 2, 6, 1, 2, 10, 1, 1, 10, 6, 6, 10, 1, 10, 6, 6, 2, 6, 2, 2, 6, 20, 1, 6, 10, 6, 6, 1, 6, 6, 2, 10, 6, 10, 1, 2, 6, 6, 1, 6, 1, 2, 6, 2, 10, 6, 10, 1, 1, 6, 6, 2, 6, 5, 1, 10, 2, 1, 6, 10, 1, 4, 2, 2, 2, 6, 2, 1, 2, 4, 2, 10, 1, 10, 6, 2, 6, 10, 10, 1, 10, 1, 6, 2, 1, 10, 10, 10, 1, 6, 6, 6, 1, 9, 6, 6, 1, 6, 6, 1, 6, 2, 2, 2, 6, 6, 6, 10, 2, 6, 2, 4, 2, 2, 2, 2, 2, 1, 6, 6, 1, 6, 6, 6, 2, 1, 1, 6, 6, 1, 1, 6, 10, 1, 10, 6, 1, 2, 6, 10, 6, 2, 6, 10, 9, 2, 6, 2, 2, 6, 6, 10, 10, 6, 6, 6, 2, 10, 1, 1, 0, 2, 6, 6, 2, 1, 2, 10, 2, 1, 1, 10, 10, 6, 10, 6, 10, 1, 6, 6, 1, 2, 2, 2, 10, 1, 6, 10, 6, 6, 2, 1, 6, 1, 10, 6, 6, 10, 1, 2, 2, 10, 6, 1, 6, 2, 10, 6, 1, 1, 2, 10, 2, 6, 2, 1, 1, 6, 10, 10, 2, 10, 6, 0, 6, 1, 1, 10, 1, 2, 6, 10, 10, 6, 1, 10, 1, 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6, 10, 6, 2, 6, 10, 1, 10, 1, 6, 6, 10, 1, 10, 1, 2, 1, 10, 1, 2, 10, 10, 10, 2, 10, 6, 1, 10, 6, 1, 6, 2, 2, 9, 6, 2, 6, 6, 10, 6, 10, 10, 10, 2, 10, 6, 10, 1, 6, 1, 10, 6, 6, 10, 6, 2, 6, 1, 2, 6, 10, 6, 1, 2, 2, 10, 10, 1, 2, 2, 2, 1, 10, 6, 2, 10, 1, 1, 1, 10, 6, 1, 10, 1, 1, 10, 6, 6, 10, 2, 10, 6, 2, 1, 5, 1, 1, 1, 10, 2, 6, 1, 1, 2, 2, 2, 10, 6, 2, 1, 4, 2, 1, 6, 6, 10, 2, 2, 2, 1, 10, 6, 6, 6, 1, 2, 10, 6, 1, 2, 10, 1, 10, 10, 1, 6, 2, 1, 2, 10, 1, 6, 10, 1, 10, 1, 2, 1, 2, 10, 2, 1, 1, 10, 10, 6, 1, 2, 6, 6, 6, 2, 1, 2, 2, 2, 6, 2, 10, 10, 6, 10, 10, 1, 10, 10, 2, 10, 6, 2, 6, 2, 1, 2, 1, 1, 10, 6, 6, 1, 10, 6, 6, 1, 6, 6, 2, 10, 2, 0, 10, 10, 6, 6, 2, 6, 2, 10, 10, 2, 1, 10, 1, 10, 10, 10, 1, 6, 5, 6, 1, 6, 2, 10, 1, 1, 2, 2, 10, 1, 10, 10, 6, 2, 10, 1, 6, 10, 6, 6, 1, 2, 2, 1, 1, 10, 2, 2, 6, 10, 2, 6, 2, 6, 6, 1, 6, 1, 1, 10, 2, 6, 10, 2, 10, 10, 1, 6, 1, 2, 1, 6, 6, 60, 2, 10, 6, 1, 5, 2, 10, 2, 6, 10, 2, 6, 2, 10, 10, 1, 1, 1, 10, 5, 1, 2, 6, 6, 2, 6, 1, 1, 1, 1, 2, 6, 2, 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10, 1, 2, 6, 6, 6, 6, 10, 6, 1, 1, 10, 1, 6, 6, 10, 2, 6, 2, 2, 10, 6, 1, 1, 1, 1, 10, 2, 2, 6, 1, 6, 1, 1, 10, 2, 10, 1, 2, 10, 2, 10, 2, 6, 4, 2, 2, 2, 2, 10, 10, 1, 2, 10, 1, 6, 6, 6, 6, 0, 10, 2, 2, 6, 10, 2, 2, 10, 1, 10, 6, 2, 2, 1, 1, 6, 1, 1, 6, 10, 6, 2, 6, 10, 10, 2, 6, 6, 1, 6, 1, 2, 10, 1, 10, 6, 10, 1, 2, 1, 6, 6, 10, 2, 10, 1, 1, 2, 1, 2, 2, 2, 10, 10, 2, 2, 1, 2, 10, 2, 10, 6, 10, 2, 6, 6, 1, 2, 1, 6, 6, 10, 10, 6, 2, 6, 1, 1, 1, 10, 6, 1, 6, 0, 6, 2, 2, 6, 6, 10, 1, 6, 2, 2, 1, 2, 1, 10, 1, 1, 10, 1, 0, 10, 2, 6, 1, 6, 2, 6, 6, 2, 10, 2, 1, 2, 6, 6, 6, 2, 2, 1, 10, 10, 2, 6, 2, 1, 6, 1, 10, 1, 1, 2, 10, 10, 2, 1, 6, 10, 2, 1, 6, 6, 2, 2, 6, 1, 1, 10, 6, 1, 6, 6, 1, 2, 1, 2, 2, 2, 1, 2, 10, 10, 6, 2, 10, 10, 10, 6, 2, 0, 10, 10, 1, 1, 6, 10, 10, 10, 1, 10, 1, 6, 2, 6, 10, 2, 1, 6, 2, 2, 1, 1, 2, 6, 1, 6, 10, 2, 10, 10, 6, 10, 10, 2, 10, 6, 1, 1, 6, 6, 1, 2, 1, 1, 2, 2, 1, 3, 1, 2, 2, 1, 2, 10, 1, 2, 1, 10, 10, 10, 10, 6, 10, 1, 10, 10, 2, 10, 1, 10, 6, 1, 10, 6, 2, 2, 1, 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2, 2, 1, 6, 2, 2, 10, 10, 1, 1, 6, 1, 2, 0, 6, 1, 1, 10, 1, 10, 10, 6, 1, 1, 1, 2, 1, 10, 2, 10, 6, 10, 10, 2, 2, 10, 2, 1, 2, 2, 10, 10, 6, 2, 1, 2, 2, 2, 10, 6, 1, 10, 6, 2, 10, 6, 6, 1, 10, 10, 2, 2, 6, 2, 6, 6, 1, 1, 1, 6, 10, 6, 1, 10, 10, 2, 6, 6, 6, 2, 6, 2, 6, 1, 1, 2, 10, 6, 10, 10, 1, 2, 2, 6, 10, 6, 2, 10, 2, 6, 1, 2, 1, 10, 1, 10, 2, 10, 1, 6, 6, 1, 1, 1, 1, 6, 1, 6, 9, 1, 6, 2, 10, 6, 10, 6, 6, 10, 2, 6, 2, 10, 1, 6, 2, 2, 1, 6, 6, 10, 10, 2, 2, 10, 10, 6, 6, 6, 10, 10, 2, 6, 6, 6, 10, 0, 6, 6, 6, 2, 2, 1, 1, 6, 10, 4, 6, 6, 2, 1, 10, 1, 1, 1, 9, 10, 6, 6, 2, 2, 2, 6, 10, 1, 6, 1, 1, 10, 10, 1, 2, 1, 2, 6, 1, 1, 1, 10, 2, 2, 2, 1, 5, 2, 10, 10, 1, 6, 10, 9, 2, 6, 2, 1, 6, 1, 2, 2, 6, 9, 10, 1, 6, 9, 1, 10, 6, 2, 1, 1, 2, 6, 6, 6, 6, 1, 1, 1, 1, 6, 10, 5, 2, 2, 1, 6, 2, 10, 10, 2, 1, 10, 1, 2, 6, 6, 2, 0, 1, 1, 2, 2, 6, 10, 10, 6, 6, 10, 10, 1, 1, 2, 10, 1, 6, 2, 10, 2, 10, 1, 1, 6, 10, 10, 2, 2, 10, 6, 10, 10, 6, 6, 6, 1, 6, 1, 1, 2, 2, 2, 6, 6, 2, 10, 1, 10, 2, 2, 10, 1, 1, 6, 10, 6, 2, 10, 1, 1, 1, 1, 1, 10, 2, 2, 4, 6, 1, 2, 6, 2, 6, 10, 1, 10, 2, 9, 6, 10, 2, 6, 6, 6, 1, 6, 10, 1, 2, 9, 1, 2, 6, 2, 2, 10, 2, 1, 6, 1, 4, 10, 1, 6, 2, 6, 2, 2, 6, 6, 2, 10, 2, 2, 6, 1, 1, 1, 2, 10, 10, 10, 6, 2, 6, 1, 2, 10, 6, 6, 10, 10, 1, 10, 1, 1, 1, 2, 6, 1, 2, 1, 1, 6, 10, 2, 1, 10, 2, 1, 2, 6, 10, 10, 1, 10, 2, 2, 2, 4, 6, 10, 1, 10, 1, 4, 2, 10, 10, 6, 1, 1, 6, 1, 2, 10, 10, 10, 10, 10, 2, 10, 10, 6, 2, 6, 1, 10, 10, 10, 6, 10, 1, 10, 6, 10, 2, 1, 6, 1, 6, 10, 2, 10, 10, 2, 6, 10, 6, 10, 2, 2, 10, 6, 2, 2, 10, 6, 6, 6, 2, 1, 6, 6, 2, 2, 10, 6, 1, 6, 6, 10, 6, 6, 10, 1, 2, 10, 10, 10, 2, 6, 10, 1, 1, 2, 10, 1, 2, 10, 1, 6, 1, 10, 6, 2, 1, 10, 6, 6, 6, 10, 2, 6, 6, 6, 1, 2, 1, 10, 1, 6, 6, 2, 6, 2, 1, 6, 2, 6, 2, 1, 1, 6, 6, 1, 1, 6, 1, 1, 2, 10, 10, 10, 2, 1, 1, 1, 2, 1, 1, 6, 2, 10, 1, 6, 2, 1, 6, 10, 10, 6, 6, 2, 10, 1, 1, 1, 2, 2, 10, 10, 2, 2, 1, 10, 6, 2, 6, 2, 2, 1, 2, 6, 1, 1, 1, 6, 6, 2, 2, 1, 6, 6, 1, 10, 4, 1, 10, 1, 6, 2, 6, 1, 10, 6, 1, 1, 6, 2, 10, 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10, 10, 6, 2, 4, 6, 10, 6, 2, 1, 1, 2, 2, 1, 10, 6, 6, 1, 1, 10, 10, 6, 10, 2, 9, 6, 10, 1, 10, 1, 10, 10, 1, 2, 6, 6, 2, 6, 6, 10, 2, 10, 1, 6, 6, 1, 1, 6, 1, 6, 1, 6, 1, 1, 10, 10, 2, 6, 6, 1, 0, 6, 2, 10, 2, 2, 9, 6, 6, 1, 6, 6, 2, 10, 6, 1, 5, 1, 2, 2, 6, 1, 1, 10, 2, 2, 2, 6, 6, 10, 2, 2, 2, 2, 1, 2, 1, 10, 1, 6, 10, 2, 6, 10, 6, 6, 2, 1, 6, 6, 10, 10, 10, 10, 1, 10, 6, 2, 2, 1, 4, 6, 1, 1, 10, 6, 1, 2, 10, 6, 2, 1, 1, 6, 2, 10, 1, 6, 2, 1, 1, 6, 2, 2, 4, 2, 10, 6, 6, 10, 6, 10, 10, 6, 1, 6, 2, 10, 6, 6, 10, 6, 6, 10, 10, 1, 10, 10, 2, 2, 10, 1, 10, 10, 6, 1, 10, 10, 6, 6, 10, 5, 10, 10, 6, 10, 2, 6, 6, 2, 6, 1, 1, 1, 2, 1, 1, 2, 2, 2, 6, 2, 2, 1, 1, 6, 1, 1, 10, 2, 10, 1, 10, 10, 2, 10, 6, 10, 2, 10, 6, 1, 6, 6, 10, 10, 1, 1, 6, 10, 10, 10, 6, 10, 2, 6, 2, 10, 2, 10, 6, 6, 10, 6, 2, 10, 2, 6, 2, 1, 10, 2, 2, 0, 6, 6, 1, 2, 6, 1, 10, 10, 10, 6, 6, 2, 1, 2, 1, 1, 2, 1, 6, 6, 6, 2, 1, 1, 1, 1, 2, 1, 6, 6, 1, 1, 2, 6, 2, 6, 1, 6, 2, 1, 1, 6, 2, 10, 10, 2, 1, 1, 2, 2, 10, 2, 1, 1, 10, 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10, 6, 0, 6, 6, 2, 1, 1, 10, 1, 6, 6, 6, 1, 1, 6, 1, 1, 10, 2, 2, 10, 6, 10, 1, 1, 1, 6, 6, 10, 6, 2, 10, 6, 10, 9, 2, 6, 6, 10, 2, 6, 1, 1, 10, 10, 6, 1, 2, 1, 6, 1, 10, 1, 1, 1, 1, 10, 2, 2, 4, 2, 2, 10, 6, 10, 2, 6, 1, 1, 10, 2, 10, 1, 10, 6, 10, 1, 10, 1, 6, 6, 1, 10, 1, 2, 10, 1, 10, 10, 10, 1, 2, 10, 6, 2, 1, 6, 2, 1, 2, 10, 6, 10, 6, 1, 2, 2, 2, 6, 1, 2, 6, 2, 1, 1, 1, 1, 2, 2, 10, 6, 6, 2, 6, 6, 6, 6, 10, 6, 2, 2, 10, 10, 6, 4, 2, 6, 10, 10, 2, 10, 10, 2, 10, 6, 6, 2, 1, 10, 1, 2, 1, 2, 2, 2, 6, 2, 1, 10, 2, 6, 1, 2, 6, 10, 2, 10, 10, 1, 2, 1, 10, 2, 2, 6, 2, 6, 2, 10, 1, 10, 2, 6, 10, 10, 2, 10, 2, 10, 6, 6, 9, 2, 1, 1, 10, 2, 10, 10, 2, 2, 6, 6, 10, 2, 1, 5, 1, 6, 10, 10, 2, 2, 10, 2, 10, 6, 10, 9, 1, 2, 6, 1, 10, 10, 10, 2, 10, 2, 6, 2, 2, 2, 6, 6, 1, 10, 2, 10, 1, 1, 2, 6, 6, 2, 9, 2, 1, 2, 2, 2, 6, 1, 1, 10, 6, 1, 1, 4, 10, 10, 6, 6, 6, 10, 10, 6, 6, 6, 9, 6, 1, 10, 2, 6, 1, 6, 5, 10, 10, 6, 10, 10, 1, 1, 1, 1, 2, 1, 6, 1, 6, 6, 6, 10, 6, 5, 2, 2, 1, 6, 6, 10, 1, 1, 1, 1, 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2, 6, 1, 10, 2, 1, 5, 1, 0, 10, 6, 2, 10, 6, 10, 6, 1, 2, 1, 6, 1, 6, 10, 10, 1, 1, 1, 4, 1, 2, 1, 2, 1, 6, 10, 1, 1, 1, 10, 10, 1, 1, 6, 1, 10, 1, 10, 1, 10, 6, 1, 1, 6, 2, 2, 6, 6, 1, 10, 2, 1, 10, 2, 10, 2, 10, 6, 2, 10, 9, 6, 10, 6, 6, 10, 2, 1, 1, 10, 2, 2, 1, 2, 6, 2, 1, 1, 2, 2, 2, 6, 1, 6, 1, 6, 2, 10, 2, 2, 1, 6, 10, 2, 10, 1, 10, 6, 2, 10, 1, 10, 6, 2, 1, 2, 10, 2, 1, 1, 6, 2, 2, 1, 2, 10, 6, 10, 1, 1, 2, 10, 6, 6, 6, 10, 2, 6, 6, 2, 6, 9, 2, 2, 1, 10, 1, 2, 6, 4, 2, 2, 10, 2, 6, 10, 6, 5, 1, 6, 1, 5, 1, 0, 2, 2, 2, 10, 1, 6, 1, 10, 2, 1, 10, 1, 2, 10, 1, 10, 1, 1, 6, 2, 2, 6, 4, 1, 6, 1, 6, 1, 10, 1, 10, 1, 1, 1, 2, 6, 0, 10, 2, 6, 1, 1, 10, 2, 10, 1, 10, 1, 10, 6, 2, 2, 1, 2, 2, 10, 2, 10, 10, 1, 6, 2, 0, 10, 6, 1, 10, 1, 2, 10, 4, 6, 6, 10, 6, 10, 2, 6, 6, 1, 1, 6, 0, 6, 6, 10, 6, 6, 2, 6, 2, 6, 2, 6, 1, 6, 6, 10, 10, 6, 10, 10, 2, 2, 10, 2, 6, 1, 1, 6, 1, 6, 10, 2, 2, 10, 5, 2, 2, 2, 6, 0, 1, 10, 1, 6, 1, 6, 1, 2, 1, 10, 2, 1, 2, 6, 2, 2, 1, 1, 6, 10, 10, 6, 6, 4, 6, 10, 6, 2, 2, 6, 2, 2, 10, 2, 6, 1, 6, 1, 6, 6, 10, 2, 1, 2, 1, 9, 1, 2, 1, 9, 1, 0, 10, 2, 6, 10, 1, 1, 6, 2, 10, 1, 2, 10, 2, 10, 2, 0, 6, 9, 6, 1, 10, 1, 1, 2, 6, 6, 10, 10, 6, 6, 0, 1, 10, 0, 6, 2, 2, 2, 2, 6, 6, 2, 10, 10, 1, 1, 1, 1, 10, 1, 1, 2, 10, 10, 2, 2, 1, 2, 1, 6, 6, 2, 6, 2, 1, 10, 1, 1, 6, 10, 4, 1, 2, 2, 10, 1, 6, 2, 6, 1, 10, 10, 2, 10, 10, 1, 2, 2, 2, 2, 9, 10, 1, 9, 10, 1, 2, 6, 1, 6, 10, 6, 10, 6, 10, 6, 6, 10, 6, 1, 6, 2, 10, 6, 1, 10, 10, 1, 2, 1, 10, 6, 2, 10, 6, 6, 6, 2, 4, 5, 1, 6, 6, 10, 1, 10, 6, 2, 2, 10, 10, 10, 2, 10, 2, 6, 1, 2, 1, 2, 10, 2, 1, 2, 2, 1, 10, 1, 1, 1, 6, 10, 10, 1, 2, 1, 9, 6, 6, 10, 2, 1, 2, 6, 1, 6, 10, 6, 10, 6, 6, 6, 1, 10, 10, 1, 6, 10, 1, 1, 10, 10, 1, 10, 1, 6, 1, 6, 6, 4, 2, 10, 1, 1, 6, 2, 1, 1, 2, 2, 6, 2, 2, 10, 1, 10, 10, 1, 1, 6, 6, 6, 0, 1, 1, 1, 10, 2, 9, 6, 1, 2, 10, 1, 10, 2, 6, 6, 6, 6, 10, 6, 6, 6, 6, 1, 2, 9, 2, 6, 6, 10, 1, 1, 1, 6, 6, 10, 6, 10, 2, 2, 1, 1, 2, 1, 10, 10, 1, 2, 2, 6, 2, 2, 6, 2, 2, 6, 9, 10, 10, 1, 10, 2, 1, 1, 6, 6, 4, 2, 2, 2, 6, 1, 10, 6, 1, 2, 1, 1, 2, 2, 1, 9, 6, 2, 6, 5, 2, 6, 6, 2, 1, 10, 1, 1, 6, 6, 2, 1, 6, 2, 10, 1, 9, 1, 1, 1, 6, 4, 10, 6, 2, 6, 1, 1, 9, 6, 1, 10, 10, 6, 6, 10, 2, 10, 6, 2, 1, 10, 6, 10, 10, 6, 6, 6, 6, 1, 6, 2, 2, 10, 2, 6, 6, 1, 1, 6, 10, 10, 5, 1, 2, 1, 6, 1, 1, 6, 6, 6, 2, 2, 2, 1, 10, 10, 1, 1, 6, 1, 2, 2, 6, 10, 6, 1, 1, 1, 10, 1, 10, 10, 6, 6, 2, 2, 10, 10, 10, 2, 2, 1, 10, 2, 1, 2, 10, 1, 6, 1, 2, 10, 1, 6, 10, 10, 10, 1, 10, 2, 1, 6, 1, 1, 2, 10, 1, 1, 10, 1, 1, 10, 2, 6, 5, 1, 2, 2, 2, 6, 6, 10, 6, 1, 6, 6, 6, 1, 10, 1, 1, 1, 10, 2, 1, 1, 1, 6, 1, 1, 6, 2, 10, 10, 6, 10, 2, 10, 10, 2, 6, 6, 6, 2, 10, 10, 2, 2, 0, 10, 6, 6, 2, 10, 2, 2, 10, 10, 10, 1, 1, 1, 1, 1, 1, 6, 6, 10, 10, 6, 10, 10, 1, 6, 4, 2, 1, 6, 10, 0, 2, 1, 1, 6, 1, 1, 2, 6, 6, 5, 6, 6, 1, 10, 6, 1, 6, 1, 1, 2, 2, 2, 6, 1, 2, 2, 10, 10, 1, 2, 6, 1, 6, 10, 10, 10, 6, 1, 6, 6, 10, 2, 2, 1, 1, 6, 1, 1, 10, 2, 6, 6, 10, 10, 2, 1, 1, 2, 6, 10, 10, 6, 1, 2, 2, 6, 10, 10, 6, 2, 2, 10, 1, 2, 1, 1, 10, 1, 2, 1, 6, 2, 10, 2, 1, 6, 6, 1, 1, 2, 6, 6, 6, 0, 1, 1, 2, 10, 1, 1, 6, 6, 1, 1, 10, 2, 6, 2, 2, 1, 1, 10, 2, 2, 5, 6, 10, 6, 1, 2, 10, 1, 6, 2, 2, 2, 10, 10, 1, 1, 1, 6, 1, 10, 2, 2, 1, 10, 6, 6, 2, 2, 2, 10, 2, 6, 6, 2, 10, 1, 2, 6, 2, 6, 1, 1, 6, 10, 1, 10, 1, 6, 1, 2, 6, 10, 6, 10, 6, 2, 1, 1, 2, 6, 1, 2, 2, 6, 6, 6, 9, 10, 2, 6, 10, 2, 1, 10, 2, 2, 1, 10, 2, 2, 2, 2, 1, 6, 10, 1, 10, 2, 10, 1, 2, 2, 1, 2, 2, 1, 2, 1, 10, 1, 6, 1, 2, 6, 6, 6, 1, 10, 1, 10, 10, 1, 10, 1, 10, 2, 1, 10, 1, 2, 1, 4, 6, 10, 2, 6, 1, 2, 10, 2, 6, 6, 2, 2, 1, 1, 2, 6, 2, 10, 1, 2, 1, 2, 6, 10, 6, 10, 10, 2, 10, 10, 6, 10, 10, 1, 6, 10, 6, 6, 2, 1, 10, 10, 6, 1, 6, 1, 6, 10, 1, 6, 2, 2, 1, 6, 10, 1, 10, 1, 6, 6, 2, 2, 6, 6, 1, 1, 2, 10, 2, 6, 6, 2, 1, 10, 1, 10, 1, 6, 1, 6, 10, 6, 10, 2, 6, 2, 1, 1, 6, 10, 10, 10, 10, 1, 1, 5, 2, 1, 3, 1, 2, 10, 10, 1, 10, 1, 1, 1, 6, 6, 10, 2, 10, 6, 2, 1, 2, 1, 1, 2, 2, 10, 2, 6, 2, 6, 10, 6, 10, 10, 10, 1, 2, 2, 2, 10, 10, 10, 1, 10, 2, 6, 1, 10, 1, 6, 10, 2, 1, 1, 2, 6, 4, 2, 6, 2, 1, 2, 1, 2, 2, 1, 6, 6, 10, 1, 6, 1, 6, 6, 2, 2, 6, 1, 1, 1, 10, 2, 1, 6, 10, 10, 2, 1, 2, 2, 10, 1, 2, 6, 2, 2, 2, 10, 6, 6, 2, 6, 2, 6, 2, 1, 1, 2, 1, 10, 2, 10, 0, 2, 1, 2, 1, 1, 2, 6, 2, 6, 10, 1, 2, 2, 1, 2, 6, 1, 10, 10, 10, 6, 0, 2, 6, 10, 2, 2, 2, 5, 6, 1, 10, 1, 1, 2, 6, 6, 1, 2, 1, 2, 1, 2, 6, 10, 2, 9, 1, 6, 2, 6, 1, 6, 2, 1, 2, 2, 6, 10, 6, 6, 1, 10, 6, 1, 10, 2, 6, 10, 2, 2, 2, 2, 6, 10, 1, 10, 2, 6, 6, 6, 2, 2, 10, 6, 10, 2, 6, 6, 1, 2, 2, 6, 10, 6, 2, 6, 10, 6, 6, 10, 2, 10, 10, 2, 10, 10, 10, 10, 1, 2, 10, 1, 10, 6, 1, 2, 6, 6, 1, 2, 10, 2, 6, 10, 1, 1, 10, 10, 10, 1, 1, 10, 1, 2, 6, 10, 1, 2, 6, 2, 2, 2, 1, 6, 10, 2, 1, 4, 10, 10, 2, 6, 10, 10, 1, 2, 6, 10, 2, 10, 6, 6, 2, 10, 2, 10, 2, 6, 6, 1, 6, 10, 6, 6, 1, 10, 1, 2, 1, 1, 6, 1, 2, 10, 2, 10, 10, 9, 2, 2, 10, 1, 10, 1, 10, 2, 1, 6, 10, 6, 1, 2, 2, 6, 6, 6, 1, 2, 1, 2, 1, 6, 6, 1, 1, 6, 2, 1, 1, 6, 10, 10, 6, 6, 2, 10, 1, 1, 2, 2, 6, 2, 1, 10, 6, 6, 6, 2, 2, 6, 2, 10, 2, 10, 2, 6, 2, 10, 6, 10, 10, 1, 2, 2, 10, 6, 10, 1, 10, 1, 6, 10, 10, 1, 1, 10, 10, 10, 10, 2, 10, 10, 10, 6, 1, 1, 2, 10, 1, 6, 1, 10, 2, 2, 10, 10, 2, 1, 2, 1, 10, 2, 2, 6, 1, 10, 6, 6, 6, 2, 10, 6, 10, 10, 10, 2, 4, 1, 1, 1, 6, 6, 2, 10, 1, 6, 10, 2, 2, 2, 1, 1, 1, 10, 2, 1, 2, 6, 2, 2, 6, 6, 6, 6, 1, 10, 1, 1, 1, 6, 6, 6, 6, 10, 1, 6, 2, 2, 1, 2, 6, 2, 10, 6, 10, 10, 6, 6, 10, 10, 10, 1, 6, 2, 6, 10, 1, 6, 10, 2, 10, 2, 6, 1, 2, 10, 10, 2, 1, 6, 5, 6, 2, 9, 10, 2, 1, 6, 1, 6, 10, 2, 2, 1, 2, 10, 6, 7, 1, 4, 6, 1, 1, 10, 6, 6, 10, 10, 6, 2, 10, 2, 6, 2, 6, 10, 10, 1, 10, 2, 10, 2, 6, 1, 2, 6, 1, 10, 1, 2, 1, 6, 10, 1, 2, 2, 2, 1, 10, 10, 10, 1, 2, 4, 10, 10, 6, 1, 1, 2, 2, 2, 6, 2, 2, 1, 2, 6, 2, 1, 2, 1, 1, 6, 1, 1, 10, 2, 2, 5, 2, 1, 2, 6, 10, 6, 1, 2, 2, 2, 10, 2, 1, 6, 10, 1, 2, 2, 1, 1, 2, 2, 2, 6, 4, 0, 1, 10, 10, 6, 10, 2, 1, 1, 6, 6, 2, 9, 1, 2, 10, 2, 1, 2, 1, 6, 10, 1, 1, 1, 6, 10, 1, 2, 10, 10, 10, 1, 2, 2, 10, 1, 10, 6, 2, 1, 2, 10, 2, 6, 6, 6, 1, 2, 6, 6, 6, 10, 6, 2, 6, 1, 2, 1, 6, 10, 10, 10, 6, 1, 10, 6, 6, 10, 1, 1, 2, 2, 1, 10, 1, 6, 2, 10, 1, 2, 1, 2, 6, 2, 1, 2, 5, 10, 10, 1, 6, 1, 6, 0, 1, 6, 6, 9, 10, 2, 10, 1, 2, 6, 6, 10, 6, 1, 6, 6, 10, 1, 2, 10, 6, 1, 6, 8, 2, 40, 2, 6, 10, 2, 6, 6, 10, 1, 10, 10, 2, 1, 6, 6, 10, 1, 6, 6, 2, 2, 1, 1, 10, 10, 2, 1, 6, 2, 10, 1, 1, 2, 2, 10, 1, 1, 2, 2, 10, 2, 6, 1, 10, 2, 10, 2, 6, 6, 1, 10, 1, 10, 10, 10, 1, 6, 6, 6, 2, 2, 1, 6, 10, 1, 10, 2, 6, 1, 6, 10, 2, 1, 2, 1, 1, 10, 1, 2, 2, 10, 1, 2, 10, 2, 10, 10, 10, 6, 2, 10, 4, 10, 1, 10, 2, 1, 2, 2, 1, 10, 2, 6, 1, 6, 1, 10, 1, 10, 6, 1, 2, 6, 10, 2, 6, 2, 2, 10, 1, 2, 1, 10, 10, 9, 6, 6, 2, 1, 1, 10, 10, 10, 1, 2, 1, 10, 6, 1, 2, 2, 10, 6, 9, 2, 6, 6, 10, 1, 2, 6, 10, 2, 10, 2, 4, 2, 2, 0, 1, 10, 6, 2, 10, 1, 2, 1, 6, 10, 6, 1, 1, 1, 6, 1, 1, 10, 10, 10, 6, 10, 2, 6, 1, 10, 6, 2, 2, 6, 0, 10, 10, 6, 10, 10, 2, 10, 10, 1, 10, 6, 2, 1, 6, 1, 1, 1, 10, 1, 6, 2, 1, 1, 2, 6, 2, 6, 2, 5, 10, 6, 6, 10, 10, 10, 2, 1, 1, 10, 6, 10, 10, 2, 6, 10, 9, 1, 6, 10, 2, 6, 10, 1, 10, 10, 2, 1, 2, 1, 1, 10, 1, 6, 10, 6, 1, 10, 0, 6, 10, 1, 6, 2, 6, 10, 1, 6, 1, 10, 2, 1, 10, 10, 2, 2, 1, 1, 1, 2, 10, 10, 10, 1, 1, 6, 10, 6, 2, 2, 10, 1, 6, 2, 1, 10, 10, 10, 6, 6, 1, 1, 1, 2, 6, 1, 10, 1, 1, 2, 2, 1, 9, 1, 2, 6, 1, 6, 10, 6, 2, 6, 10, 1, 2, 10, 2, 1, 6, 10, 6, 6, 2, 10, 10, 2, 2, 1, 10, 2, 2, 5, 1, 10, 1, 2, 1, 6, 2, 1, 2, 5, 5, 6, 9, 10, 6, 2, 1, 0, 2, 1, 6, 2, 2, 2, 1, 10, 1, 1, 1, 2, 2, 10, 6, 2, 6, 6, 10, 2, 10, 10, 10, 1, 6, 6, 2, 2, 6, 6, 10, 10, 9, 6, 2, 6, 10, 1, 1, 10, 6, 10, 1, 10, 6, 6, 10, 2, 1, 2, 0, 10, 2, 1, 10, 10, 2, 6, 1, 1, 2, 2, 2, 10, 2, 2, 1, 6, 1, 1, 10, 10, 10, 10, 10, 1, 2, 6, 6, 1, 2, 2, 10, 2, 2, 10, 10, 1, 6, 2, 2, 6, 2, 2, 1, 1, 6, 1, 10, 6, 1, 2, 2, 2, 2, 6, 1, 1, 6, 1, 1, 6, 10, 1, 0, 2, 10, 2, 10, 2, 1, 1, 10, 6, 10, 2, 10, 2, 1, 2, 1, 1, 2, 10, 6, 1, 10, 1, 2, 2, 6, 1, 1, 2, 2, 6, 1, 6, 6, 10, 6, 6, 2, 1, 1, 10, 10, 2, 10, 2, 6, 6, 1, 4, 1, 1, 2, 10, 1, 10, 10, 1, 6, 10, 6, 2, 4, 2, 2, 2, 2, 4, 6, 1, 1, 10, 2, 6, 2, 10, 2, 2, 1, 6, 1, 2, 10, 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6, 10, 10, 1, 2, 2, 6, 10, 2, 2, 10, 2, 1, 1, 0, 10, 2, 6, 9, 10, 2, 2, 6, 1, 6, 6, 6, 2, 10, 10, 2, 6, 1, 2, 6, 10, 10, 2, 2, 2, 6, 2, 1, 6, 10, 1, 1, 10, 2, 6, 6, 6, 2, 10, 6, 2, 6, 10, 1, 1, 1, 10, 2, 6, 10, 1, 1, 1, 6, 2, 2, 10, 2, 10, 1, 2, 10, 2, 2, 2, 10, 6, 2, 1, 1, 6, 10, 2, 10, 2, 10, 10, 2, 4, 6, 6, 2, 1, 2, 2, 10, 2, 6, 2, 1, 6, 1, 10, 2, 10, 10, 1, 2, 6, 10, 10, 10, 1, 1, 1, 1, 2, 4, 6, 6, 6, 2, 6, 1, 10, 1, 10, 1, 10, 1, 1, 6, 10, 1, 10, 1, 10, 1, 1, 6, 2, 2, 1, 10, 1, 2, 6, 6, 2, 1, 1, 10, 2, 10, 6, 10, 5, 2, 2, 2, 1, 6, 2, 4, 2, 10, 6, 1, 10, 10, 2, 2, 6, 10, 1, 2, 6, 10, 1, 6, 10, 1, 6, 10, 1, 1, 10, 6, 10, 1, 6, 6, 1, 6, 10, 1, 10, 10, 2, 1, 10, 9, 2, 4, 10, 6, 1, 2, 6, 10, 1, 2, 10, 0, 10, 6, 6, 2, 10, 10, 2, 6, 2, 6, 2, 1, 10, 1, 10, 2, 6, 6, 6, 2, 2, 2, 2, 2, 10, 6, 6, 10, 2, 1, 0, 10, 6, 2, 10, 10, 2, 6, 2, 10, 6, 2, 10, 2, 2, 2, 6, 10, 2, 9, 6, 6, 10, 2, 1, 10, 6, 2, 10, 6, 6, 10, 10, 1, 2, 2, 6, 10, 1, 10, 2, 1, 1, 6, 5, 6, 2, 2, 1, 1, 2, 1, 10, 10, 1, 6, 2, 10, 6, 6, 6, 1, 10, 2, 1, 2, 2, 6, 2, 10, 6, 6, 6, 2, 1, 6, 2, 1, 6, 2, 1, 1, 6, 6, 1, 1, 2, 10, 6, 6, 0, 2, 10, 10, 2, 6, 10, 10, 6, 6, 40, 1, 6, 10, 2, 10, 2, 2, 2, 2, 6, 6, 2, 2, 1, 1, 1, 6, 2, 2, 10, 6, 1, 1, 4, 2, 6, 10, 6, 1, 2, 6, 10, 1, 2, 6, 2, 2, 1, 10, 10, 6, 6, 2, 2, 2, 2, 1, 2, 2, 6, 2, 2, 5, 10, 10, 4, 10, 1, 10, 10, 6, 1, 6, 10, 1, 6, 2, 10, 2, 1, 1, 10, 1, 10, 6, 10, 2, 10, 1, 6, 1, 2, 9, 10, 2, 10, 10, 6, 1, 6, 5, 2, 6, 6, 2, 1, 2, 6, 8, 1, 10, 10, 10, 2, 1, 10, 6, 10, 6, 2, 1, 6, 10, 1, 10, 1, 10, 1, 2, 10, 10, 2, 6, 1, 6, 2, 2, 1, 1, 6, 1, 2, 2, 1, 6, 2, 2, 6, 10, 2, 1, 1, 10, 6, 6, 10, 1, 6, 4, 10, 1, 0, 1, 1, 2, 1, 2, 6, 10, 10, 10, 10, 10, 10, 10, 10, 2, 9, 1, 1, 6, 2, 10, 10, 6, 2, 6, 1, 6, 10, 10, 6, 2, 6, 10, 6, 1, 6, 1, 6, 2, 6, 10, 2, 6, 2, 2, 1, 2, 2, 6, 10, 9, 1, 10, 1, 10, 6, 6, 10, 1, 6, 2, 1, 10, 10, 2, 2, 10, 6, 1, 1, 10, 2, 10, 6, 2, 6, 1, 2, 2, 2, 10, 1, 2, 10, 10, 10, 10, 1, 2, 1, 10, 1, 6, 1, 10, 6, 10, 6, 10, 8, 10, 2, 2, 10, 2, 6, 2, 10, 10, 1, 0, 10, 6, 1, 10, 10, 2, 6, 2, 2, 9, 2, 1, 6, 10, 2, 10, 6, 5, 1, 1, 6, 10, 6, 6, 1, 1, 6, 10, 1, 2, 10, 10, 5, 10, 10, 1, 2, 1, 2, 6, 2, 6, 1, 1, 10, 10, 6, 2, 10, 2, 2, 10, 6, 6, 1, 2, 6, 1, 2, 1, 6, 0, 6, 6, 6, 6, 2, 2, 6, 6, 6, 1, 1, 6, 6, 2, 2, 10, 2, 2, 6, 6, 2, 2, 6, 10, 2, 2, 10, 6, 10, 2, 6, 6, 10, 6, 10, 1, 10, 10, 1, 6, 1, 6, 4, 6, 6, 10, 10, 2, 1, 6, 10, 1, 10, 10, 1, 1, 2, 2, 6, 2, 6, 10, 1, 10, 6, 10, 10, 1, 6, 1, 2, 10, 6, 2, 10, 10, 6, 10, 2, 1, 1, 6, 2, 1, 10, 6, 1, 1, 6, 6, 1, 10, 2, 1, 2, 10, 6, 2, 2, 6, 6, 10, 6, 1, 2, 1, 10, 10, 2, 2, 2, 6, 2, 1, 1, 2, 10, 10, 10, 6, 10, 1, 2, 10, 2, 2, 6, 2, 10, 2, 2, 6, 9, 1, 10, 6, 6, 6, 1, 2, 1, 10, 2, 10, 2, 6, 6, 5, 6, 6, 2, 1, 6, 1, 6, 6, 10, 2, 2, 6, 10, 1, 2, 6, 6, 2, 6, 2, 1, 6, 10, 6, 6, 2, 1, 2, 1, 1, 10, 10, 6, 1, 2, 10, 6, 2, 2, 2, 6, 10, 1, 1, 1, 10, 6, 1, 10, 1, 10, 1, 4, 2, 2, 6, 6, 6, 10, 6, 2, 10, 10, 6, 2, 2, 10, 6, 10, 10, 2, 6, 6, 10, 1, 2, 10, 2, 2, 2, 1, 2, 1, 6, 10, 10, 1, 6, 6, 10, 2, 6, 2, 6, 10, 10, 1, 1, 10, 2, 6, 2, 6, 1, 6, 6, 2, 2, 10, 2, 1, 10, 10, 6, 1, 2, 1, 1, 6, 2, 6, 1, 1, 2, 10, 10, 6, 6, 10, 10, 2, 1, 1, 2, 6, 6, 2, 6, 10, 10, 10, 2, 0, 2, 6, 1, 6, 10, 10, 1, 2, 1, 1, 2, 1, 10, 1, 1, 4, 1, 10, 10, 2, 10, 2, 6, 1, 1, 10, 6, 10, 6, 10, 10, 2, 10, 1, 2, 2, 1, 1, 10, 1, 1, 1, 6, 6, 10, 6, 6, 1, 1, 1, 1, 10, 1, 10, 1, 6, 1, 10, 6, 6, 10, 6, 6, 10, 10, 6, 2, 2, 4, 6, 6, 6, 6, 1, 1, 6, 0, 10, 2, 10, 6, 9, 2, 2, 1, 1, 2, 6, 10, 1, 6, 6, 10, 1, 2, 10, 10, 2, 10, 2, 1, 10, 6, 10, 1, 2, 6, 10, 10, 10, 6, 1, 1, 10, 6, 6, 6, 10, 2, 10, 4, 1, 10, 10, 10, 2, 6, 1, 1, 6, 2, 10, 2, 10, 10, 0, 1, 10, 1, 10, 1, 10, 1, 2, 6, 1, 6, 1, 1, 1, 2, 2, 2, 2, 10, 2, 10, 1, 1, 6, 1, 6, 1, 10, 6, 10, 6, 9, 2, 1, 9, 2, 6, 2, 10, 2, 1, 2, 6, 10, 6, 10, 6, 6, 10, 2, 6, 1, 10, 0, 6, 1, 1, 6, 10, 1, 1, 1, 6, 2, 2, 1, 6, 10, 10, 6, 6, 2, 1, 10, 10, 2, 1, 1, 1, 10, 10, 10, 1, 1, 5, 1, 1, 1, 6, 1, 6, 1, 10, 6, 6, 10, 1, 1, 1, 6, 6, 1, 1, 10, 2, 10, 1, 10, 2, 10, 1, 2, 2, 10, 6, 10, 2, 2, 6, 6, 1, 2, 6, 1, 10, 2, 10, 1, 2, 6, 2, 1, 2, 6, 10, 1, 10, 6, 1, 2, 10, 2, 6, 10, 6, 5, 1, 6, 6, 1, 1, 1, 6, 6, 10, 6, 10, 1, 6, 10, 10, 2, 6, 10, 2, 6, 6, 1, 10, 1, 10, 6, 1, 1, 1, 6, 10, 2, 2, 6, 10, 2, 6, 1, 10, 2, 1, 10, 6, 2, 1, 1, 6, 10, 10, 10, 2, 2, 10, 10, 7, 1, 1, 1, 6, 6, 6, 1, 6, 6, 2, 6, 1, 6, 2, 10, 6, 1, 2, 2, 10, 2, 6, 2, 6, 1, 6, 10, 2, 6, 1, 2, 2, 6, 1, 1, 1, 10, 1, 2, 2, 1, 2, 2, 2, 10, 2, 10, 1, 10, 1, 6, 1, 1, 10, 10, 2, 10, 6, 5, 6, 6, 5, 2, 6, 2, 10, 1, 2, 6, 10, 2, 2, 1, 6, 1, 1, 2, 6, 2, 5, 10, 10, 1, 2, 1, 1, 6, 10, 6, 2, 1, 10, 6, 6, 1, 2, 10, 2, 10, 1, 6, 1, 6, 2, 6, 1, 1, 2, 6, 2, 10, 10, 1, 10, 2, 1, 6, 10, 6, 2, 6, 10, 6, 10, 4, 1, 1, 2, 1, 1, 2, 2, 2, 6, 1, 1, 10, 1, 10, 6, 10, 10, 10, 2, 1, 10, 1, 6, 10, 1, 1, 10, 2, 10, 1, 1, 1, 10, 10, 10, 6, 1, 10, 10, 1, 1, 10, 2, 1, 10, 6, 2, 10, 2, 2, 1, 10, 1, 6, 2, 2, 2, 6, 2, 2, 2, 1, 1, 10, 6, 6, 2, 1, 10, 10, 6, 2, 6, 6, 6, 9, 10, 2, 2, 10, 1, 6, 1, 10, 2, 2, 10, 10, 2, 6, 10, 6, 2, 10, 10, 2, 0, 2, 5, 6, 10, 2, 1, 10, 1, 10, 6, 6, 6, 2, 2, 10, 10, 2, 1, 2, 10, 2, 1, 2, 10, 1, 10, 6, 10, 6, 6, 1, 6, 1, 1, 6, 6, 10, 10, 6, 1, 5, 10, 10, 1, 4, 1, 2, 1, 2, 2, 10, 10, 6, 1, 5, 2, 6, 2, 6, 10, 6, 6, 2, 2, 6, 2, 10, 2, 1, 6, 2, 6, 10, 1, 6, 1, 2, 10, 2, 10, 10, 1, 1, 6, 1, 1, 1, 2, 1, 2, 2, 6, 1, 6, 10, 10, 10, 6, 6, 1, 1, 6, 6, 2, 6, 2, 1, 2, 1, 10, 6, 6, 6, 2, 1, 2, 10, 1, 1, 1, 1, 10, 1, 1, 1, 10, 6, 1, 6, 1, 10, 1, 2, 1, 2, 1, 10, 1, 10, 2, 6, 2, 1, 6, 6, 10, 10, 10, 2, 2, 1, 1, 1, 6, 1, 1, 6, 10, 6, 2, 2, 1, 10, 2, 10, 10, 10, 1, 10, 10, 6, 10, 10, 1, 6, 1, 1, 1, 2, 10, 6, 10, 10, 6, 2, 1, 10, 6, 6, 2, 1, 10, 2, 10, 6, 10, 10, 6, 1, 2, 10, 6, 1, 1, 6, 1, 1, 1, 4, 6, 10, 2, 10, 2, 1, 2, 2, 10, 0, 1, 10, 10, 10, 6, 6, 9, 1, 10, 2, 10, 2, 2, 10, 6, 4, 1, 1, 2, 1, 2, 1, 10, 2, 1, 1, 50, 2, 1, 6, 10, 10, 5, 2, 10, 1, 2, 2, 10, 6, 2, 6, 2, 10, 1, 1, 10, 2, 2, 1, 2, 1, 6, 2, 1, 10, 6, 0, 10, 1, 0, 2, 6, 1, 10, 1, 10, 1, 10, 10, 10, 10, 10, 10, 6, 6, 2, 2, 1, 6, 10, 2, 1, 10, 10, 6, 10, 10, 10, 6, 1, 6, 10, 2, 6, 2, 2, 2, 10, 1, 2, 10, 6, 2, 6, 6, 2, 1, 10, 2, 10, 1, 10, 6, 2, 1, 6, 10, 6, 6, 9, 10, 10, 2, 10, 6, 2, 10, 2, 2, 2, 10, 2, 10, 1, 6, 6, 1, 10, 2, 10, 1, 6, 2, 10, 6, 10, 4, 4, 1, 6, 2, 2, 2, 1, 6, 2, 10, 1, 1, 2, 10, 1, 1, 2, 10, 10, 1, 2, 2, 6, 2, 10, 1, 1, 2, 6, 6, 6, 2, 6, 1, 10, 10, 6, 6, 10, 2, 1, 5, 2, 1, 6, 2, 10, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 6, 5, 1, 0, 0, 6, 1, 10, 2, 2, 1, 10, 1, 10, 10, 6, 10, 1, 6, 10, 1, 2, 2, 9, 6, 60, 10, 10, 6, 10, 6, 6, 10, 10, 1, 10, 1, 6, 1, 6, 4, 2, 2, 6, 6, 6, 4, 6, 6, 1, 2, 6, 5, 2, 1, 6, 6, 1, 1, 6, 5, 6, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 10, 10, 10, 2, 2, 10, 1, 10, 2, 1, 10, 10, 10, 1, 6, 6, 10, 1, 6, 6, 1, 1, 10, 10, 2, 2, 2, 10, 10, 1, 2, 2, 1, 1, 10, 6, 1, 6, 10, 2, 1, 10, 2, 2, 2, 10, 1, 1, 2, 10, 2, 2, 6, 2, 1, 2, 10, 10, 6, 1, 9, 2, 1, 6, 6, 1, 10, 1, 10, 2, 10, 6, 1, 2, 2, 3, 6, 10, 6, 2, 6, 1, 2, 1, 6, 2, 6, 6, 2, 10, 1, 6, 10, 2, 10, 2, 2, 10, 2, 6, 6, 10, 6, 4, 1, 6, 2, 10, 1, 2, 10, 5, 10, 10, 6, 6, 6, 2, 6, 6, 2, 2, 6, 6, 1, 2, 2, 10, 2, 1, 2, 10, 1, 6, 1, 1, 2, 1, 10, 1, 6, 10, 6, 2, 1, 1, 10, 6, 6, 1, 6, 10, 1, 6, 2, 1, 10, 1, 6, 6, 1, 2, 1, 1, 2, 6, 2, 1, 10, 2, 2, 1, 2, 2, 10, 1, 6, 10, 2, 1, 1, 2, 2, 1, 10, 6, 2, 1, 10, 2, 1, 1, 1, 10, 6, 6, 4, 1, 10, 2, 6, 1, 1, 2, 5, 5, 6, 6, 10, 6, 10, 6, 9, 10, 10, 2, 6, 10, 6, 10, 10, 6, 2, 0, 6, 10, 2, 10, 6, 1, 6, 1, 1, 6, 6, 2, 10, 10, 2, 6, 6, 2, 2, 6, 1, 4, 10, 6, 1, 6, 1, 1, 2, 2, 1, 2, 6, 2, 2, 6, 10, 6, 10, 1, 10, 6, 1, 1, 6, 10, 2, 6, 6, 1, 6, 1, 10, 1, 1, 10, 10, 1, 2, 6, 1, 6, 6, 6, 1, 2, 10, 10, 10, 6, 6, 6, 6, 2, 2, 2, 1, 6, 1, 1, 1, 1, 1, 10, 10, 6, 10, 10, 1, 2, 6, 1, 10, 2, 2, 2, 10, 1, 2, 1, 10, 6, 2, 10, 1, 2, 1, 2, 1, 2, 1, 10, 10, 2, 10, 10, 6, 6, 6, 6, 1, 1, 2, 2, 1, 1, 2, 6, 2, 10, 1, 1, 6, 1, 2, 1, 1, 2, 2, 2, 6, 1, 0, 1, 6, 2, 2, 6, 4, 1, 6, 2, 1, 6, 1, 1, 10, 1, 6, 6, 2, 2, 10, 6, 1, 4, 10, 10, 10, 6, 6, 1, 10, 10, 6, 0, 10, 10, 6, 1, 10, 10, 1, 2, 2, 10, 2, 1, 10, 6, 6, 2, 2, 6, 2, 1, 6, 1, 6, 6, 6, 1, 4, 2, 10, 1, 6, 10, 6, 10, 2, 1, 2, 10, 6, 2, 1, 10, 2, 1, 6, 6, 2, 2, 1, 6, 2, 6, 10, 1, 1, 1, 6, 10, 2, 10, 6, 6, 1, 6, 2, 6, 10, 2, 1, 0, 1, 2, 10, 2, 10, 6, 10, 1, 6, 10, 6, 6, 2, 10, 6, 1, 10, 10, 10, 6, 6, 2, 10, 2, 1, 6, 2, 6, 2, 6, 6, 10, 5, 10, 10, 2, 2, 10, 6, 10, 1, 9, 6, 2, 6, 10, 10, 10, 10, 10, 6, 2, 10, 2, 10, 6, 2, 6, 2, 1, 6, 6, 6, 2, 6, 10, 1, 10, 10, 1, 1, 10, 1, 2, 6, 1, 6, 2, 2, 6, 2, 10, 10, 1, 2, 6, 6, 1, 2, 1, 1, 2, 2, 6, 6, 10, 6, 2, 10, 1, 6, 1, 1, 1, 6, 6, 10, 1, 2, 6, 6, 1, 1, 10, 10, 1, 6, 6, 2, 1, 2, 2, 6, 2, 10, 1, 1, 10, 1, 1, 6, 6, 6, 1, 6, 1, 1, 6, 2, 2, 1, 10, 1, 10, 1, 2, 6, 1, 10, 1, 1, 6, 1, 10, 6, 10, 10, 6, 6, 2, 2, 6, 10, 6, 10, 6, 2, 1, 2, 10, 2, 1, 10, 6, 1, 2, 2, 2, 6, 10, 6, 10, 6, 2, 6, 5, 6, 2, 10, 1, 6, 10, 6, 10, 10, 2, 2, 10, 10, 1, 2, 1, 0, 2, 9, 9, 2, 6, 10, 10, 10, 1, 1, 6, 2, 1, 2, 10, 2, 1, 1, 6, 4, 6, 10, 10, 6, 10, 10, 6, 1, 6, 0, 6, 6, 1, 1, 6, 10, 2, 6, 6, 1, 6, 6, 1, 2, 10, 10, 6, 2, 10, 6, 10, 1, 6, 1, 6, 10, 2, 1, 10, 10, 10, 6, 2, 2, 2, 2, 2, 2, 6, 2, 10, 10, 2, 2, 10, 6, 6, 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6, 10, 1, 1, 10, 10, 6, 2, 6, 6, 6, 2, 10, 1, 6, 6, 10, 2, 10, 1, 6, 2, 6, 6, 10, 1, 1, 6, 10, 10, 1, 10, 1, 6, 10, 2, 10, 10, 10, 10, 6, 6, 1, 6, 2, 1, 1, 2, 10, 2, 0, 1, 2, 10, 1, 10, 2, 1, 10, 2, 6, 10, 2, 2, 6, 6, 10, 10, 5, 10, 1, 2, 10, 2, 9, 6, 1, 1, 2, 10, 1, 6, 1, 1, 6, 2, 2, 6, 2, 6, 6, 2, 1, 1, 6, 1, 2, 10, 6, 1, 1, 2, 6, 2, 1, 1, 10, 6, 2, 1, 2, 10, 10, 10, 1, 10, 2, 1, 1, 2, 2, 6, 10, 10, 6, 6, 6, 2, 6, 1, 2, 6, 1, 1, 10, 2, 10, 2, 2, 10, 6, 10, 2, 10, 6, 6, 10, 6, 10, 9, 2, 10, 10, 2, 6, 2, 6, 10, 2, 10, 0, 10, 1, 1, 10, 1, 6, 2, 6, 6, 6, 6, 1, 10, 1, 1, 10, 1, 2, 6, 1, 2, 10, 2, 6, 10, 10, 2, 2, 6, 6, 5, 1, 6, 10, 6, 10, 2, 6, 2, 2, 2, 1, 0, 2, 1, 1, 6, 10, 2, 1, 10, 6, 6, 10, 10, 6, 10, 6, 10, 6, 10, 4, 2, 10, 10, 10, 2, 1, 1, 1, 10, 2, 2, 1, 1, 6, 10, 6, 10, 10, 2, 6, 1, 1, 10, 10, 6, 2, 10, 6, 6, 5, 2, 2, 2, 1, 10, 1, 1, 1, 1, 2, 6, 10, 6, 10, 2, 6, 2, 2, 10, 2, 6, 1, 1, 10, 6, 1, 2, 6, 1, 1, 10, 10, 1, 2, 2, 10, 1, 1, 10, 1, 1, 2, 1, 2, 10, 2, 2, 2, 2, 10, 10, 10, 2, 10, 1, 10, 1, 1, 1, 6, 10, 1, 9, 6, 6, 6, 10, 10, 6, 10, 2, 2, 10, 10, 2, 2, 1, 10, 2, 10, 6, 1, 6, 6, 10, 6, 10, 10, 2, 1, 2, 2, 2, 10, 2, 1, 6, 2, 10, 6, 1, 2, 2, 6, 6, 1, 1, 10, 6, 10, 10, 2, 6, 2, 10, 2, 2, 2, 6, 1, 6, 1, 2, 10, 1, 10, 1, 10, 2, 2, 6, 1, 10, 10, 1, 1, 6, 2, 10, 6, 2, 10, 2, 2, 6, 6, 1, 10, 10, 10, 6, 6, 1, 2, 1, 6, 1, 1, 0, 6, 2, 6, 2, 2, 1, 1, 2, 6, 2, 6, 10, 1, 6, 1, 2, 6, 2, 2, 1, 2, 6, 10, 10, 6, 1, 6, 1, 10, 1, 10, 2, 1, 6, 6, 2, 10, 2, 10, 6, 2, 10, 10, 10, 2, 10, 1, 5, 1, 1, 5, 1, 6, 2, 6, 10, 10, 10, 10, 2, 1, 2, 10, 6, 1, 1, 6, 1, 6, 6, 1, 1, 2, 1, 4, 1, 2, 10, 5, 10, 1, 2, 10, 10, 1, 2, 10, 6, 2, 1, 6, 10, 10, 10, 6, 10, 10, 1, 10, 1, 10, 10, 10, 2, 10, 1, 10, 10, 10, 1, 10, 2, 2, 1, 10, 6, 2, 1, 6, 9, 2, 6, 6, 2, 6, 2, 6, 10, 1, 2, 6, 10, 1, 2, 10, 10, 10, 1, 1, 6, 10, 6, 10, 2, 2, 1, 2, 1, 10, 6, 6, 2, 1, 6, 10, 6, 2, 10, 2, 10, 1, 1, 5, 2, 10, 1, 1, 6, 6, 6, 6, 6, 2, 1, 10, 6, 2, 1, 10, 6, 2, 2, 6, 6, 6, 2, 6, 6, 10, 6, 1, 6, 6, 2, 10, 6, 9, 1, 2, 1, 10, 6, 10, 6, 1, 10, 2, 1, 1, 6, 6, 60, 10, 6, 10, 6, 10, 2, 2, 6, 2, 2, 10, 2, 1, 1, 2, 6, 0, 6, 6, 6, 10, 10, 1, 1, 6, 6, 10, 10, 10, 1, 6, 2, 1, 6, 6, 1, 1, 2, 10, 2, 1, 50, 1, 6, 1, 10, 6, 6, 10, 1, 10, 1, 2, 2, 2, 1, 2, 6, 6, 2, 10, 1, 6, 10, 6, 1, 1, 1, 6, 4, 6, 1, 1, 1, 1, 10, 1, 10, 1, 6, 10, 1, 1, 10, 1, 1, 1, 2, 10, 10, 10, 6, 10, 2, 4, 6, 2, 1, 10, 1, 1, 6, 1, 6, 10, 6, 6, 2, 6, 2, 1, 6, 10, 2, 10, 10, 1, 2, 1, 2, 1, 2, 2, 2, 10, 6, 1, 6, 10, 2, 1, 10, 10, 2, 1, 2, 1, 2, 1, 1, 2, 10, 2, 6, 2, 2, 1, 10, 3, 6, 4, 2, 2, 6, 1, 1, 1, 6, 10, 2, 1, 6, 10, 10, 1, 10, 10, 1, 1, 6, 6, 1, 2, 6, 5, 2, 1, 2, 10, 6, 1, 6, 6, 1, 2, 2, 6, 10, 1, 2, 1, 10, 1, 1, 6, 10, 2, 2, 6, 1, 1, 2, 1, 1, 2, 1, 10, 2, 1, 2, 6, 0, 1, 6, 6, 1, 2, 1, 6, 6, 6, 1, 6, 2, 2, 2, 10, 1, 10, 6, 10, 10, 2, 10, 1, 10, 2, 10, 2, 10, 1, 10, 2, 2, 6, 6, 6, 1, 2, 10, 1, 2, 10, 1, 10, 1, 10, 1, 6, 1, 10, 10, 6, 1, 6, 1, 2, 6, 6, 10, 2, 2, 2, 2, 10, 10, 10, 10, 2, 10, 1, 2, 2, 10, 2, 2, 10, 10, 10, 1, 6, 1, 2, 6, 10, 10, 6, 6, 1, 6, 10, 10, 1, 10, 6, 2, 6, 2, 2, 2, 10, 1, 2, 2, 2, 6, 2, 6, 6, 10, 2, 2, 1, 6, 2, 2, 10, 10, 1, 2, 10, 10, 6, 10, 1, 1, 1, 10, 2, 6, 6, 10, 6, 2, 6, 6, 1, 2, 1, 2, 2, 10, 2, 1, 4, 6, 4, 10, 2, 6, 10, 6, 6, 1, 2, 2, 10, 2, 6, 6, 10, 1, 2, 2, 6, 2, 6, 1, 10, 1, 1, 10, 1, 6, 2, 6, 1, 1, 10, 2, 2, 1, 1, 2, 1, 6, 10, 10, 6, 10, 2, 4, 1, 1, 2, 6, 6, 6, 6, 2, 2, 1, 1, 2, 2, 10, 1, 10, 6, 10, 6, 6, 1, 2, 2, 10, 2, 1, 2, 1, 6, 2, 10, 10, 9, 1, 10, 10, 10, 1, 6, 1, 1, 6, 1, 6, 2, 6, 2, 2, 10, 6, 10, 6, 6, 6, 2, 6, 10, 1, 1, 10, 2, 10, 1, 2, 1, 2, 10, 10, 6, 10, 1, 2, 2, 10, 6, 6, 1, 10, 1, 2, 6, 1, 10, 1, 2, 9, 6, 1, 2, 1, 10, 10, 10, 2, 1, 2, 6, 10, 1, 6, 2, 1, 2, 2, 6, 6, 4, 10, 1, 10, 10, 10, 2, 10, 10, 2, 6, 6, 1, 1, 2, 1, 10, 6, 2, 2, 6, 10, 1, 6, 2, 1, 1, 1, 2, 6, 2, 2, 2, 10, 10, 1, 1, 6, 2, 1, 10, 1, 6, 2, 1, 10, 1, 10, 6, 1, 1, 2, 10, 2, 6, 10, 2, 10, 1, 1, 4, 2, 6, 10, 6, 10, 1, 10, 1, 4, 10, 10, 10, 10, 1, 1, 6, 10, 6, 6, 6, 10, 6, 10, 1, 0, 1, 40, 2, 10, 2, 6, 6, 1, 2, 2, 1, 1, 1, 10, 2, 1, 10, 2, 2, 1, 6, 9, 6, 10, 10, 2, 10, 10, 6, 1, 6, 6, 2, 2, 2, 4, 1, 6, 2, 10, 10, 1, 10, 2, 2, 1, 6, 6, 10, 2, 6, 2, 2, 10, 6, 1, 2, 9, 1, 6, 1, 1, 6, 1, 1, 6, 1, 10, 6, 6, 10, 10, 6, 6, 6, 1, 10, 10, 10, 2, 10, 10, 10, 1, 1, 6, 6, 6, 10, 2, 1, 0, 10, 2, 9, 1, 1, 2, 2, 6, 2, 1, 2, 10, 2, 10, 6, 1, 1, 10, 9, 1, 10, 10, 6, 6, 2, 2, 6, 2, 10, 6, 10, 1, 6, 6, 1, 6, 6, 6, 10, 10, 6, 2, 1, 2, 10, 10, 10, 6, 6, 2, 2, 10, 2, 6, 6, 10, 6, 2, 6, 2, 10, 6, 1, 1, 10, 10, 10, 10, 10, 2, 2, 10, 10, 2, 1, 6, 2, 10, 1, 6, 2, 2, 10, 10, 6, 6, 10, 2, 2, 1, 1, 2, 10, 6, 10, 10, 5, 10, 10, 2, 2, 1, 10, 2, 6, 6, 10, 6, 10, 2, 10, 6, 1, 10, 1, 6, 10, 1, 10, 10, 6, 2, 6, 6, 6, 1, 2, 6, 1, 2, 2, 2, 1, 0, 10, 2, 1, 1, 1, 6, 10, 1, 1, 1, 10, 6, 1, 1, 1, 6, 1, 1, 1, 6, 1, 10, 6, 1, 2, 6, 10, 6, 10, 6, 6, 2, 1, 1, 10, 10, 10, 10, 1, 10, 2, 1, 2, 10, 1, 1, 10, 6, 10, 6, 10, 6, 1, 6, 2, 10, 2, 6, 10, 2, 1, 6, 1, 1, 6, 1, 10, 2, 2, 2, 2, 4, 6, 2, 6, 1, 2, 2, 10, 6, 6, 10, 6, 10, 10, 2, 1, 1, 10, 10, 6, 2, 2, 1, 1, 6, 2, 1, 1, 6, 5, 10, 10, 10, 1, 6, 6, 1, 6, 6, 2, 6, 6, 6, 1, 1, 10, 6, 1, 1, 1, 6, 1, 6, 6, 6, 1, 6, 2, 2, 6, 1, 6, 6, 1, 10, 10, 1, 6, 2, 6, 1, 2, 10, 6, 6, 6, 10, 2, 6, 2, 10, 1, 2, 10, 1, 6, 1, 2, 10, 1, 10, 2, 1, 2, 2, 7, 6, 1, 9, 6, 6, 1, 6, 1, 1, 1, 6, 1, 5, 2, 2, 10, 6, 10, 10, 6, 1, 10, 2, 1, 1, 10, 1, 6, 6, 1, 2, 1, 6, 6, 2, 6, 6, 2, 5, 2, 10, 2, 6, 10, 6, 10, 2, 2, 2, 1, 5, 1, 2, 10, 1, 10, 1, 2, 6, 10, 10, 10, 1, 10, 6, 10, 0, 0, 10, 2, 10, 6, 2, 1, 10, 6, 1, 10, 2, 9, 6, 10, 1, 2, 1, 1, 10, 10, 2, 2, 1, 10, 1, 1, 1, 2, 6, 10, 2, 6, 2, 2, 10, 1, 1, 6, 6, 6, 1, 10, 5, 1, 6, 10, 1, 10, 6, 6, 2, 2, 10, 10, 10, 1, 2, 6, 1, 10, 2, 1, 10, 1, 10, 2, 5, 2, 10, 6, 1, 6, 1, 10, 2, 4, 2, 1, 2, 10, 2, 6, 1, 2, 6, 6, 1, 10, 1, 10, 1, 10, 10, 9, 2, 10, 2, 10, 1, 2, 6, 2, 2, 6, 2, 2, 2, 2, 1, 10, 10, 1, 6, 4, 6, 6, 10, 5, 2, 1, 1, 0, 2, 2, 1, 2, 2, 10, 10, 1, 6, 6, 10, 10, 1, 2, 2, 6, 2, 10, 10, 6, 10, 1, 2, 1, 2, 6, 1, 10, 1, 6, 2, 2, 10, 2, 6, 6, 5, 6, 1, 4, 6, 10, 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2, 10, 6, 1, 2, 6, 0, 6, 1, 6, 10, 10, 6, 10, 2, 10, 2, 1, 9, 6, 6, 2, 2, 10, 6, 10, 6, 1, 2, 1, 6, 1, 10, 1, 1, 6, 10, 6, 2, 2, 1, 2, 6, 2, 1, 10, 1, 10, 2, 10, 1, 2, 1, 10, 1, 10, 1, 1, 10, 2, 10, 1, 10, 10, 6, 2, 6, 2, 2, 1, 10, 2, 6, 1, 10, 6, 10, 6, 6, 10, 1, 10, 6, 6, 2, 1, 1, 2, 1, 10, 2, 2, 1, 6, 2, 6, 2, 6, 1, 1, 10, 10, 2, 2, 6, 1, 2, 6, 10, 6, 10, 2, 2, 1, 1, 2, 10, 2, 2, 1, 10, 6, 10, 6, 2, 2, 1, 2, 8, 2, 10, 4, 10, 6, 10, 2, 10, 1, 1, 10, 10, 1, 10, 6, 1, 1, 2, 10, 2, 2, 6, 6, 1, 6, 10, 1, 9, 6, 10, 4, 10, 2, 2, 1, 10, 2, 1, 6, 10, 1, 6, 2, 5, 6, 1, 1, 1, 2, 1, 4, 1, 6, 6, 6, 2, 2, 6, 50, 6, 6, 6, 2, 6, 1, 2, 10, 6, 6, 10, 6, 2, 1, 10, 6, 6, 6, 2, 2, 1, 6, 6, 6, 2, 6, 2, 10, 2, 1, 6, 1, 1, 2, 6, 6, 1, 6, 1, 6, 6, 6, 2, 2, 10, 1, 10, 1, 6, 3, 10, 10, 6, 2, 10, 2, 10, 6, 1, 6, 10, 2, 2, 6, 2, 10, 6, 1, 6, 1, 1, 6, 1, 1, 1, 2, 6, 2, 2, 10, 10, 1, 0, 6, 6, 10, 10, 10, 6, 6, 2, 1, 10, 1, 1, 10, 10, 1, 2, 10, 2, 10, 6, 10, 6, 6, 2, 1, 10, 0, 10, 6, 1, 6, 2, 2, 1, 6, 1, 2, 0, 1, 10, 2, 1, 10, 6, 6, 10, 10, 2, 2, 10, 2, 2, 10, 6, 10, 10, 4, 6, 2, 1, 2, 9, 2, 2, 10, 6, 10, 6, 6, 6, 2, 6, 10, 10, 1, 10, 1, 6, 10, 10, 2, 1, 10, 10, 6, 1, 10, 1, 2, 1, 6, 2, 6, 10, 10, 1, 1, 10, 2, 6, 6, 2, 1, 1, 1, 10, 6, 2, 10, 1, 2, 10, 6, 6, 2, 1, 6, 10, 1, 10, 1, 1, 2, 6, 6, 2, 10, 2, 10, 2, 2, 2, 1, 6, 6, 1, 10, 6, 6, 1, 2, 2, 6, 6, 6, 6, 2, 6, 6, 1, 1, 2, 2, 1, 2, 1, 10, 2, 2, 2, 6, 6, 1, 2, 2, 10, 10, 2, 1, 10, 6, 10, 6, 6, 6, 1, 4, 1, 6, 1, 2, 6, 6, 2, 10, 6, 6, 2, 6, 6, 4, 2, 2, 1, 6, 4, 6, 2, 2, 2, 10, 50, 6, 2, 10, 1, 5, 2, 2, 1, 2, 1, 6, 1, 10, 2, 1, 2, 2, 10, 6, 1, 6, 1, 2, 6, 6, 2, 6, 1, 1, 1, 10, 10, 2, 2, 2, 10, 6, 10, 10, 6, 10, 10, 1, 1, 4, 1, 2, 50, 10, 10, 6, 6, 10, 2, 5, 6, 2, 10, 1, 6, 10, 6, 1, 2, 1, 10, 5, 2, 10, 4, 10, 6, 1, 10, 10, 2, 6, 2, 10, 1, 10, 6, 6, 2, 10, 1, 1, 2, 1, 1, 10, 10, 6, 1, 6, 2, 1, 2, 10, 1, 10, 6, 2, 6, 10, 1, 1, 1, 1, 2, 6, 10, 10, 2, 1, 2, 10, 10, 2, 10, 1, 6, 6, 10, 10, 2, 6, 1, 2, 4, 1, 10, 10, 2, 1, 10, 1, 2, 6, 2, 2, 10, 9, 0, 10, 1, 2, 6, 2, 2, 10, 6, 2, 6, 1, 6, 2, 10, 2, 10, 6, 10, 10, 10, 6, 4, 10, 10, 2, 10, 6, 6, 2, 6, 1, 1, 2, 1, 6, 1, 6, 6, 2, 6, 2, 2, 1, 1, 10, 10, 2, 10, 2, 1, 10, 2, 1, 6, 10, 1, 10, 2, 1, 1, 10, 10, 1, 6, 10, 2, 1, 2, 10, 10, 1, 1, 6, 6, 6, 2, 1, 2, 2, 10, 1, 2, 2, 6, 2, 10, 1, 1, 2, 1, 6, 10, 2, 10, 1, 1, 2, 10, 6, 6, 9, 2, 10, 2, 6, 6, 6, 1, 10, 10, 10, 10, 10, 6, 1, 9, 6, 2, 10, 1, 6, 6, 2, 6, 10, 10, 2, 6, 10, 10, 1, 10, 2, 2, 10, 1, 10, 10, 6, 2, 6, 1, 5, 2, 10, 2, 10, 10, 2, 1, 6, 6, 2, 1, 1, 10, 2, 10, 6, 10, 10, 10, 6, 10, 10, 6, 5, 6, 10, 10, 2, 2, 10, 10, 6, 1, 1, 2, 2, 10, 1, 10, 1, 6, 6, 6, 1, 10, 0, 2, 6, 6, 6, 6, 10, 1, 9, 1, 1, 10, 10, 2, 2, 6, 2, 1, 10, 6, 9, 10, 1, 1, 10, 6, 10, 1, 2, 6, 2, 2, 2, 10, 2, 2, 6, 1, 10, 10, 10, 2, 2, 1, 10, 6, 1, 2, 10, 6, 10, 2, 1, 2, 2, 10, 1, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 2, 10, 10, 1, 10, 10, 2, 1, 10, 4, 2, 6, 2, 1, 9, 6, 6, 6, 10, 6, 10, 5, 2, 2, 6, 10, 1, 2, 10, 2, 2, 2, 2, 2, 10, 2, 10, 10, 6, 6, 10, 10, 6, 6, 2, 6, 5, 2, 2, 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10, 1, 2, 6, 2, 1, 1, 6, 6, 10, 10, 2, 2, 2, 4, 6, 6, 2, 6, 2, 1, 1, 2, 2, 10, 1, 2, 6, 2, 1, 1, 6, 10, 10, 1, 10, 1, 10, 1, 6, 2, 1, 10, 1, 6, 1, 2, 6, 10, 6, 6, 1, 1, 1, 2, 0, 6, 10, 6, 2, 1, 2, 1, 2, 6, 2, 10, 2, 10, 10, 1, 1, 6, 10, 10, 6, 10, 2, 6, 2, 6, 6, 1, 10, 1, 10, 1, 2, 6, 5, 6, 6, 2, 10, 2, 6, 10, 10, 1, 6, 10, 2, 2, 10, 6, 10, 1, 6, 6, 2, 1, 6, 2, 1, 2, 2, 10, 6, 1, 2, 2, 6, 10, 6, 1, 6, 1, 6, 6, 2, 6, 2, 2, 6, 6, 6, 2, 2, 1, 10, 1, 2, 1, 2, 2, 2, 10, 2, 6, 10, 2, 1, 6, 10, 1, 10, 10, 10, 10, 10, 6, 6, 1, 2, 2, 6, 10, 1, 2, 6, 1, 2, 2, 6, 6, 6, 1, 5, 10, 2, 2, 10, 2, 2, 1, 1, 2, 1, 6, 2, 6, 6, 6, 2, 10, 2, 2, 1, 1, 2, 6, 10, 1, 2, 2, 2, 6, 2, 10, 6, 6, 1, 2, 2, 10, 2, 2, 6, 6, 6, 10, 2, 1, 1, 10, 10, 10, 10, 1, 10, 1, 6, 1, 6, 2, 10, 2, 6, 1, 10, 2, 2, 1, 6, 6, 6, 10, 1, 1, 2, 2, 6, 6, 2, 4, 10, 6, 6, 10, 6, 2, 10, 1, 2, 2, 2, 1, 6, 10, 2, 1, 1, 1, 6, 1, 2, 6, 2, 10, 1, 10, 2, 6, 2, 1, 1, 10, 2, 5, 6, 6, 2, 1, 1, 2, 10, 6, 10, 1, 2, 10, 6, 6, 2, 2, 6, 1, 10, 2, 6, 6, 6, 10, 1, 10, 1, 2, 1, 2, 10, 10, 1, 6, 2, 1, 2, 6, 10, 10, 1, 1, 6, 1, 5, 1, 1, 6, 1, 6, 2, 10, 10, 10, 1, 1, 2, 2, 1, 10, 1, 1, 6, 10, 10, 1, 2, 6, 2, 2, 2, 1, 9, 10, 6, 10, 1, 10, 6, 6, 10, 1, 6, 6, 6, 1, 2, 1, 6, 1, 6, 2, 1, 2, 1, 1, 5, 10, 2, 6, 10, 2, 1, 2, 10, 1, 10, 0, 6, 1, 1, 1, 1, 1, 0, 1, 10, 2, 2, 10, 10, 10, 1, 2, 2, 10, 6, 10, 9, 2, 1, 6, 10, 2, 1, 1, 1, 6, 10, 10, 2, 10, 1, 6, 10, 10, 6, 6, 1, 6, 2, 6, 10, 1, 1, 2, 2, 2, 6, 10, 2, 1, 10, 10, 5, 10, 1, 6, 1, 1, 10, 10, 6, 2, 2, 2, 6, 10, 1, 10, 10, 1, 6, 10, 2, 1, 10, 6, 10, 10, 0, 1, 10, 2, 6, 6, 6, 10, 10, 10, 2, 1, 10, 10, 10, 6, 1, 2, 2, 2, 6, 2, 10, 2, 2, 5, 2, 1, 2, 6, 6, 1, 10, 2, 1, 10, 10, 2, 10, 2, 1, 10, 9, 2, 10, 1, 6, 6, 10, 6, 1, 6, 6, 10, 0, 6, 2, 1, 1, 1, 2, 10, 2, 1, 2, 2, 10, 6, 10, 10, 1, 6, 10, 1, 6, 6, 10, 10, 10, 10, 6, 6, 10, 6, 6, 2, 10, 6, 10, 6, 2, 6, 1, 1, 10, 2, 1, 10, 10, 10, 10, 1, 10, 1, 2, 2, 6, 1, 2, 9, 1, 2, 1, 2, 6, 1, 10, 1, 10, 6, 1, 2, 1, 6, 2, 2, 2, 2, 5, 10, 2, 6, 1, 1, 2, 10, 1, 6, 2, 1, 2, 10, 10, 5, 1, 6, 1, 1, 2, 2, 1, 10, 10, 2, 10, 10, 2, 10, 6, 6, 10, 1, 1, 2, 2, 10, 1, 1, 10, 2, 2, 1, 10, 2, 10, 10, 2, 10, 10, 6, 6, 6, 1, 5, 10, 10, 0, 6, 10, 2, 9, 6, 2, 4, 6, 6, 2, 6, 9, 10, 2, 10, 2, 1, 10, 6, 6, 1, 6, 6, 6, 6, 5, 1, 10, 1, 10, 1, 10, 1, 0, 6, 2, 10, 10, 2, 10, 1, 6, 10, 10, 1, 1, 10, 2, 0, 2, 6, 10, 10, 10, 1, 6, 6, 9, 5, 6, 1, 10, 1, 2, 4, 10, 1, 10, 2, 6, 2, 1, 6, 10, 2, 10, 6, 0, 1, 6, 1, 1, 10, 6, 4, 6, 6, 10, 10, 2, 1, 1, 10, 6, 9, 0, 1, 10, 9, 6, 6, 2, 10, 6, 1, 1, 9, 1, 2, 10, 1, 1, 6, 1, 6, 10, 6, 6, 2, 6, 1, 10, 6, 4, 6, 10, 1, 10, 10, 2, 2, 10, 10, 2, 1, 10, 10, 1, 2, 1, 10, 1, 1, 1, 6, 1, 10, 2, 2, 10, 10, 1, 1, 2, 10, 10, 1, 1, 6, 1, 2, 2, 6, 2, 10, 2, 2, 1, 5, 10, 1, 10, 6, 1, 2, 10, 5, 2, 2, 2, 10, 2, 1, 6, 1, 2, 10, 1, 2, 2, 10, 6, 1, 10, 10, 6, 1, 2, 1, 6, 2, 1, 1, 10, 2, 1, 5, 2, 10, 6, 1, 6, 10, 4, 10, 10, 6, 1, 6, 10, 2, 10, 10, 6, 10, 6, 10, 2, 6, 10, 10, 10, 1, 6, 10, 2, 6, 6, 1, 10, 6, 2, 1, 6, 6, 2, 10, 1, 10, 1, 6, 1, 6, 6, 1, 6, 10, 6, 6, 10, 6, 10, 2, 6, 5, 2, 2, 2, 2, 1, 2, 10, 2, 2, 10, 2, 10, 10, 2, 2, 5, 6, 10, 2, 10, 6, 1, 1, 1, 10, 1, 6, 6, 2, 1, 10, 10, 1, 10, 1, 6, 2, 10, 10, 6, 1, 1, 10, 2, 2, 1, 1, 2, 1, 2, 10, 2, 10, 10, 10, 1, 10, 1, 10, 2, 6, 1, 2, 10, 9, 6, 10, 1, 10, 10, 10, 6, 6, 2, 2, 10, 2, 2, 10, 6, 1, 10, 6, 1, 6, 2, 6, 6, 6, 9, 1, 2, 6, 6, 2, 1, 0, 10, 1, 10, 6, 2, 6, 1, 10, 9, 9, 10, 10, 2, 1, 2, 10, 10, 6, 1, 2, 1, 10, 6, 1, 2, 10, 6, 1, 1, 6, 2, 6, 2, 1, 2, 10, 1, 1, 1, 2, 10, 10, 1, 2, 1, 2, 6, 5, 2, 1, 2, 1, 10, 6, 10, 2, 2, 2, 2, 10, 10, 6, 1, 10, 6, 1, 2, 6, 10, 1, 10, 2, 10, 10, 1, 2, 2, 6, 6, 2, 6, 1, 6, 2, 10, 2, 1, 1, 2, 1, 2, 6, 1, 10, 2, 1, 2, 2, 1, 6, 2, 0, 10, 1, 2, 2, 1, 10, 10, 10, 2, 10, 6, 1, 2, 6, 1, 2, 1, 6, 6, 1, 1, 2, 10, 2, 10, 2, 10, 5, 2, 1, 2, 2, 2, 1, 2, 10, 6, 10, 2, 1, 1, 1, 1, 2, 2, 6, 1, 2, 1, 2, 9, 1, 2, 10, 6, 1, 1, 10, 2, 1, 6, 1, 1, 2, 2, 10, 6, 10, 6, 1, 10, 10, 2, 1, 10, 6, 10, 2, 2, 2, 1, 10, 2, 6, 1, 2, 10, 1, 6, 2, 2, 1, 2, 1, 1, 6, 6, 10, 1, 1, 10, 2, 10, 10, 2, 2, 10, 10, 9, 2, 1, 2, 10, 2, 1, 1, 10, 1, 2, 10, 10, 2, 2, 1, 4, 10, 4, 1, 2, 6, 6, 10, 10, 2, 6, 6, 10, 2, 6, 2, 10, 1, 6, 2, 1, 1, 1, 6, 6, 6, 2, 1, 6, 10, 10, 1, 1, 6, 10, 6, 1, 10, 6, 6, 2, 1, 1, 1, 10, 1, 2, 1, 10, 10, 9, 40, 0, 1, 2, 10, 1, 10, 2, 10, 10, 6, 6, 2, 2, 2, 10, 10, 1, 6, 2, 6, 6, 1, 1, 1, 1, 6, 2, 1, 1, 6, 6, 2, 10, 2, 6, 2, 2, 2, 1, 1, 1, 10, 6, 10, 1, 2, 6, 1, 1, 2, 1, 1, 2, 2, 2, 6, 6, 1, 10, 10, 2, 6, 1, 6, 2, 6, 6, 6, 10, 6, 6, 6, 6, 10, 2, 10, 1, 2, 10, 10, 10, 2, 6, 10, 10, 10, 10, 6, 10, 10, 1, 2, 1, 6, 10, 6, 1, 6, 6, 6, 10, 2, 2, 10, 6, 1, 1, 1, 1, 10, 10, 10, 2, 2, 6, 5, 6, 6, 10, 2, 1, 6, 10, 6, 10, 2, 10, 1, 2, 1, 6, 6, 6, 6, 10, 10, 2, 6, 1, 1, 6, 1, 9, 10, 1, 6, 6, 10, 6, 1, 6, 10, 6, 2, 10, 2, 1, 2, 10, 5, 1, 6, 1, 2, 6, 1, 6, 1, 2, 2, 1, 4, 10, 10, 9, 10, 6, 6, 2, 1, 2, 6, 10, 6, 9, 2, 6, 6, 6, 6, 9, 10, 1, 2, 1, 1, 1, 6, 6, 6, 1, 10, 1, 9, 1, 2, 2, 6, 1, 2, 6, 2, 10, 10, 2, 2, 6, 2, 2, 10, 10, 10, 2, 10, 1, 2, 10, 6, 2, 2, 6, 2, 10, 10, 6, 6, 2, 10, 10, 10, 6, 1, 10, 2, 1, 2, 1, 1, 10, 4, 1, 2, 6, 2, 2, 10, 6, 6, 10, 2, 10, 6, 1, 1, 6, 1, 1, 6, 10, 6, 10, 2, 1, 6, 6, 6, 4, 6, 10, 10, 6, 2, 2, 4, 6, 1, 10, 2, 10, 10, 2, 6, 1, 1, 1, 10, 6, 10, 2, 1, 2, 2, 1, 2, 1, 6, 2, 6, 1, 2, 6, 2, 10, 1, 6, 0, 6, 2, 0, 6, 2, 6, 10, 6, 1, 10, 1, 10, 2, 1, 10, 10, 1, 10, 10, 1, 10, 1, 2, 10, 1, 6, 2, 1, 10, 2, 10, 0, 10, 6, 2, 6, 0, 10, 2, 6, 6, 10, 10, 2, 6, 1, 2, 2, 5, 6, 2, 10, 10, 10, 6, 6, 6, 10, 1, 2, 6, 1, 2, 10, 4, 6, 10, 10, 10, 10, 6, 1, 1, 10, 1, 6, 10, 6, 10, 2, 1, 10, 10, 2, 1, 2, 6, 6, 6, 2, 6, 6, 2, 10, 1, 1, 1, 0, 2, 10, 10, 6, 2, 2, 5, 1, 6, 6, 6, 6, 6, 6, 1, 6, 7, 1, 1, 2, 1, 5, 6, 10, 10, 1, 2, 2, 1, 1, 1, 9, 1, 1, 2, 1, 2, 2, 10, 2, 1, 10, 6, 2, 1, 6, 2, 6, 2, 6, 2, 10, 1, 6, 10, 1, 10, 1, 6, 2, 1, 1, 6, 6, 1, 1, 6, 6, 6, 1, 2, 10, 6, 10, 10, 1, 1, 10, 10, 6, 6, 1, 1, 1, 6, 0, 2, 1, 2, 10, 2, 1, 1, 2, 10, 6, 10, 2, 10, 1, 2, 10, 6, 2, 6, 2, 10, 1, 1, 2, 6, 1, 1, 5, 6, 10, 2, 1, 2, 1, 2, 6, 1, 2, 6, 2, 1, 2, 1, 6, 2, 1, 1, 6, 10, 2, 1, 2, 6, 2, 1, 2, 10, 6, 6, 4, 1, 10, 1, 6, 6, 10, 6, 10, 2, 6, 6, 9, 2, 2, 6, 2, 10, 2, 10, 6, 1, 6, 2, 10, 10, 6, 1, 10, 10, 6, 1, 2, 10, 2, 2, 2, 6, 10, 6, 1, 6, 6, 2, 6, 6, 6, 1, 5, 1, 1, 10, 2, 6, 1, 2, 10, 1, 10, 1, 6, 6, 2, 10, 1, 2, 2, 1, 10, 10, 1, 1, 2, 6, 1, 6, 10, 6, 10, 2, 1, 1, 6, 10, 1, 9, 10, 6, 10, 1, 2, 6, 1, 6, 10, 6, 1, 1, 1, 2, 1, 2, 10, 1, 1, 5, 2, 10, 1, 6, 6, 10, 2, 2, 6, 6, 10, 5, 10, 2, 10, 1, 1, 1, 2, 1, 6, 1, 10, 6, 10, 6, 1, 1, 10, 10, 1, 2, 10, 1, 10, 6, 6, 2, 6, 10, 1, 6, 10, 6, 1, 2, 6, 2, 10, 10, 10, 2, 2, 6, 2, 6, 6, 2, 6, 6, 1, 10, 1, 6, 10, 2, 6, 6, 6, 2, 4, 10, 1, 6, 6, 6, 2, 6, 10, 6, 10, 4, 2, 10, 10, 10, 6, 2, 2, 1, 1, 10, 10, 1, 2, 10, 1, 6, 1, 2, 10, 6, 10, 1, 1, 6, 1, 6, 6, 10, 6, 1, 6, 1, 2, 6, 10, 1, 2, 2, 1, 2, 6, 6, 1, 2, 1, 2, 2, 10, 1, 10, 2, 1, 6, 1, 10, 10, 1, 10, 6, 10, 6, 6, 1, 2, 10, 6, 2, 1, 1, 10, 2, 1, 1, 10, 10, 10, 10, 1, 6, 1, 1, 1, 1, 6, 6, 2, 1, 1, 6, 1, 10, 6, 4, 1, 2, 2, 2, 10, 6, 6, 10, 6, 2, 6, 1, 10, 10, 6, 6, 6, 4, 1, 10, 6, 10, 10, 6, 1, 1, 6, 1, 10, 6, 6, 6, 10, 2, 10, 1, 1, 2, 2, 10, 2, 1, 1, 10, 6, 10, 6, 6, 2, 1, 2, 10, 1, 6, 6, 6, 10, 2, 1, 10, 6, 2, 1, 2, 2, 10, 1, 10, 1, 6, 6, 10, 2, 2, 10, 2, 1, 6, 9, 2, 2, 6, 2, 6, 10, 10, 10, 10, 6, 10, 6, 6, 6, 2, 1, 4, 1, 6, 1, 2, 1, 2, 1, 10, 6, 6, 2, 6, 6, 6, 6, 1, 10, 2, 10, 10, 6, 10, 6, 2, 2, 2, 10, 1, 10, 10, 1, 2, 10, 10, 10, 10, 2, 6, 6, 6, 2, 2, 10, 1, 6, 6, 2, 10, 2, 10, 2, 6, 2, 6, 0, 10, 10, 1, 4, 2, 10, 6, 10, 2, 6, 6, 10, 6, 6, 6, 10, 6, 6, 1, 10, 1, 1, 6, 1, 10, 6, 1, 1, 1, 2, 2, 1, 1, 10, 1, 10, 2, 10, 10, 10, 2, 2, 10, 2, 6, 6, 1, 1, 6, 6, 10, 10, 10, 10, 6, 1, 1, 6, 6, 10, 1, 1, 6, 2, 9, 10, 1, 2, 2, 6, 1, 6, 10, 6, 10, 2, 2, 6, 6, 6, 10, 2, 10, 6, 10, 6, 1, 10, 10, 10, 6, 2, 10, 10, 10, 10, 1, 6, 1, 2, 2, 10, 10, 6, 10, 2, 10, 1, 6, 6, 1, 2, 10, 2, 6, 2, 2, 2, 10, 10, 10, 2, 6, 10, 6, 5, 6, 6, 6, 2, 2, 10, 10, 1, 10, 6, 2, 6, 2, 6, 10, 6, 2, 2, 10, 10, 2, 1, 6, 9, 6, 9, 6, 1, 1, 2, 10, 1, 10, 2, 2, 10, 6, 1, 1, 2, 6, 6, 1, 5, 6, 6, 10, 2, 6, 2, 1, 2, 10, 2, 10, 2, 6, 1, 6, 2, 10, 1, 2, 1, 2, 1, 2, 6, 6, 2, 9, 1, 1, 2, 2, 1, 1, 2, 6, 1, 6, 2, 6, 1, 2, 6, 2, 1, 6, 6, 1, 6, 6, 1, 4, 10, 1, 6, 1, 2, 10, 1, 1, 10, 2, 2, 1, 6, 10, 1, 10, 1, 10, 1, 6, 1, 6, 2, 1, 10, 2, 2, 10, 10, 4, 2, 10, 6, 1, 1, 6, 1, 6, 4, 6, 1, 9, 1, 2, 6, 2, 2, 2, 2, 1, 1, 6, 2, 2, 10, 6, 10, 2, 6, 10, 1, 10, 6, 6, 1, 6, 6, 6, 10, 1, 2, 10, 9, 1, 10, 6, 0, 0, 6, 6, 10, 6, 1, 1, 6, 2, 2, 0, 6, 2, 2, 10, 1, 10, 6, 2, 2, 1, 2, 1, 10, 1, 10, 6, 10, 10, 2, 2, 6, 2, 6, 1, 1, 6, 1, 6, 1, 6, 1, 1, 2, 9, 2, 2, 6, 6, 1, 10, 6, 2, 1, 1, 1, 1, 10, 2, 2, 10, 6, 1, 2, 6, 2, 1, 6, 10, 1, 6, 6, 6, 6, 1, 4, 1, 2, 10, 10, 1, 2, 10, 10, 2, 10, 6, 5, 10, 10, 6, 6, 2, 6, 6, 6, 1, 10, 6, 2, 6, 10, 1, 1, 5, 6, 6, 6, 10, 2, 10, 1, 6, 1, 10, 2, 2, 2, 10, 1, 6, 1, 10, 2, 10, 2, 10, 10, 1, 1, 10, 1, 1, 10, 2, 6, 2, 6, 1, 10, 10, 1, 10, 2, 2, 6, 1, 6, 1, 2, 6, 6, 10, 6, 1, 10, 2, 2, 2, 2, 8, 2, 4, 10, 10, 2, 10, 2, 1, 2, 1, 1, 2, 2, 1, 9, 1, 10, 1, 0, 6, 1, 6, 2, 2, 1, 2, 6, 6, 6, 6, 10, 10, 1, 10, 1, 10, 10, 6, 1, 10, 10, 10, 2, 9, 6, 2, 6, 10, 6, 2, 2, 10, 10, 1, 2, 1, 6, 10, 2, 2, 1, 1, 1, 6, 6, 2, 1, 2, 6, 1, 1, 1, 1, 1, 10, 2, 1, 2, 0, 6, 2, 10, 4, 6, 2, 2, 6, 1, 1, 9, 1, 10, 10, 1, 6, 6, 6, 2, 10, 6, 10, 1, 1, 6, 10, 10, 2, 6, 1, 1, 6, 2, 10, 2, 10, 2, 1, 10, 6, 1, 6, 6, 10, 1, 10, 2, 5, 2, 6, 4, 1, 10, 6, 10, 10, 10, 2, 2, 0, 10, 2, 10, 10, 2, 2, 10, 1, 10, 6, 40, 2, 10, 10, 10, 6, 2, 10, 1, 1, 6, 1, 10, 6, 2, 10, 2, 2, 6, 10, 2, 6, 2, 6, 2, 10, 2, 1, 1, 10, 10, 1, 10, 2, 6, 6, 2, 1, 2, 1, 6, 10, 6, 1, 2, 1, 10, 1, 6, 2, 10, 6, 1, 2, 2, 10, 1, 6, 6, 1, 1, 1, 10, 2, 2, 2, 2, 6, 6, 0, 6, 2, 10, 10, 1, 2, 2, 10, 2, 10, 10, 6, 1, 1, 2, 10, 6, 6, 1, 10, 6, 1, 1, 6, 10, 2, 10, 6, 0, 6, 2, 10, 10, 2, 1, 2, 10, 10, 2, 1, 1, 10, 10, 10, 2, 6, 10, 10, 2, 10, 10, 10, 1, 1, 10, 1, 10, 10, 2, 2, 2, 10, 6, 6, 10, 6, 10, 10, 10, 10, 6, 10, 1, 2, 2, 2, 1, 2, 2, 10, 2, 2, 2, 10, 10, 1, 6, 2, 1, 6, 10, 6, 6, 2, 2, 1, 6, 1, 10, 10, 6, 1, 10, 10, 6, 1, 6, 9, 2, 2, 10, 6, 1, 10, 1, 6, 1, 10, 4, 6, 10, 2, 10, 1, 2, 10, 1, 6, 6, 6, 2, 1, 2, 2, 6, 1, 2, 2, 1, 2, 2, 1, 2, 1, 10, 6, 10, 6, 6, 2, 2, 2, 2, 2, 6, 1, 6, 6, 6, 1, 1, 2, 2, 2, 6, 10, 6, 2, 5, 2, 10, 2, 6, 2, 1, 1, 2, 1, 10, 2, 9, 2, 6, 6, 6, 1, 1, 6, 9, 2, 1, 2, 10, 1, 10, 6, 10, 10, 2, 1, 1, 10, 6, 10, 2, 2, 1, 1, 0, 2, 5, 10, 1, 10, 10, 2, 10, 2, 10, 6, 10, 6, 10, 10, 10, 6, 10, 1, 1, 10, 6, 6, 10, 10, 1, 6, 1, 1, 6, 2, 1, 6, 10, 2, 2, 1, 1, 6, 2, 9, 10, 6, 1, 9, 10, 10, 10, 10, 6, 1, 10, 1, 10, 1, 1, 10, 10, 10, 10, 1, 2, 1, 2, 2, 1, 10, 1, 2, 6, 6, 2, 10, 2, 2, 2, 1, 1, 10, 1, 6, 1, 1, 6, 1, 2, 2, 2, 10, 1, 1, 1, 2, 12, 10, 10, 6, 10, 10, 6, 10, 2, 10, 6, 6, 6, 2, 2, 40, 2, 1, 2, 2, 6, 2, 1, 1, 1, 1, 6, 2, 2, 6, 10, 6, 1, 2, 2, 9, 6, 5, 6, 2, 10, 10, 1, 6, 10, 2, 1, 2, 2, 1, 6, 1, 1, 6, 6, 6, 2, 10, 1, 2, 10, 10, 1, 6, 2, 10, 6, 6, 1, 2, 1, 2, 1, 10, 2, 6, 2, 6, 1, 6, 6, 1, 1, 10, 1, 2, 6, 6, 6, 2, 9, 10, 10, 6, 2, 10, 10, 10, 10, 6, 6, 6, 6, 1, 6, 10, 10, 1, 1, 6, 10, 10, 2, 10, 6, 6, 2, 1, 10, 10, 10, 6, 2, 6, 2, 1, 4, 6, 6, 1, 6, 10, 6, 1, 10, 10, 2, 1, 2, 2, 1, 2, 2, 6, 6, 1, 6, 6, 0, 10, 2, 10, 6, 6, 6, 1, 10, 2, 10, 1, 1, 2, 2, 1, 2, 10, 10, 1, 2, 1, 6, 2, 1, 6, 2, 10, 6, 10, 10, 2, 10, 6, 10, 1, 2, 6, 6, 6, 2, 2, 1, 2, 1, 6, 10, 1, 10, 10, 2, 1, 1, 1, 6, 2, 10, 10, 2, 1, 6, 1, 6, 9, 6, 1, 6, 2, 1, 1, 6, 1, 2, 2, 2, 2, 6, 10, 10, 6, 10, 1, 1, 1, 6, 6, 1, 6, 10, 10, 1, 5, 1, 1, 2, 2, 10, 6, 6, 10, 10, 1, 2, 10, 10, 2, 1, 6, 6, 1, 2, 4, 1, 2, 1, 10, 6, 2, 1, 1, 2, 2, 6, 6, 6, 6, 6, 6, 6, 10, 10, 6, 1, 2, 2, 6, 2, 10, 2, 10, 10, 6, 10, 2, 10, 1, 6, 2, 6, 2, 10, 2, 1, 10, 10, 1, 10, 10, 2, 6, 1, 6, 10, 9, 10, 1, 6, 10, 10, 2, 10, 10, 1, 2, 10, 2, 2, 10, 1, 6, 2, 1, 10, 6, 10, 6, 1, 2, 2, 10, 2, 6, 6, 6, 1, 2, 1, 2, 6, 1, 6, 6, 1, 6, 6, 1, 10, 10, 10, 6, 6, 10, 2, 50, 10, 1, 6, 10, 1, 6, 10, 6, 2, 10, 6, 6, 2, 10, 1, 6, 10, 10, 1, 6, 2, 10, 6, 1, 10, 6, 6, 6, 6, 10, 6, 2, 2, 10, 6, 6, 10, 1, 1, 6, 6, 10, 10, 6, 6, 1, 10, 6, 1, 1, 2, 6, 10, 2, 1, 10, 2, 2, 10, 6, 10, 1, 2, 10, 2, 1, 1, 6, 10, 10, 1, 10, 1, 2, 10, 6, 1, 2, 10, 10, 6, 1, 2, 2, 1, 2, 6, 1, 6, 1, 10, 2, 10, 6, 10, 1, 2, 6, 1, 9, 6, 6, 10, 6, 9, 6, 1, 1, 6, 2, 1, 10, 1, 4, 1, 2, 2, 2, 1, 6, 10, 10, 10, 2, 6, 1, 5, 1, 10, 1, 6, 1, 6, 1, 10, 2, 2, 2, 1, 6, 2, 10, 6, 2, 1, 6, 10, 2, 6, 1, 6, 6, 2, 1, 6, 1, 6, 2, 4, 6, 10, 6, 2, 2, 5, 10, 6, 6, 1, 1, 6, 6, 6, 1, 1, 1, 10, 1, 2, 6, 6, 1, 10, 2, 10, 10, 2, 10, 1, 2, 6, 6, 1, 10, 10, 2, 10, 2, 6, 6, 10, 10, 1, 1, 6, 10, 2, 10, 6, 6, 6, 1, 6, 10, 1, 2, 10, 2, 2, 6, 1, 6, 1, 6, 10, 6, 10, 10, 1, 6, 6, 1, 1, 6, 1, 10, 2, 10, 2, 1, 6, 1, 2, 10, 6, 2, 1, 6, 1, 2, 2, 10, 1, 10, 2, 6, 1, 1, 2, 2, 10, 2, 2, 1, 1, 2, 10, 10, 10, 10, 10, 6, 10, 1, 2, 1, 1, 10, 2, 2, 6, 6, 9, 2, 10, 1, 1, 10, 6, 1, 10, 10, 10, 6, 6, 10, 10, 5, 2, 1, 10, 2, 10, 5, 1, 1, 9, 10, 2, 2, 6, 2, 2, 10, 1, 6, 1, 1, 2, 4, 10, 10, 10, 2, 1, 1, 6, 6, 2, 1, 10, 2, 0, 6, 1, 1, 2, 10, 2, 2, 6, 10, 6, 2, 6, 6, 1, 6, 6, 2, 10, 10, 6, 2, 1, 1, 2, 2, 2, 6, 6, 2, 1, 5, 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9, 2, 4, 2, 10, 6, 10, 6, 6, 1, 10, 1, 1, 6, 1, 2, 5, 1, 6, 6, 10, 1, 2, 6, 5, 1, 10, 2, 40, 2, 2, 1, 6, 2, 1, 1, 2, 10, 2, 10, 2, 2, 2, 2, 2, 10, 2, 1, 1, 6, 10, 6, 2, 6, 10, 6, 6, 6, 6, 2, 6, 6, 6, 1, 10, 10, 10, 2, 1, 1, 6, 1, 2, 1, 2, 1, 1, 1, 1, 10, 6, 10, 6, 6, 1, 2, 10, 4, 6, 2, 10, 1, 2, 1, 10, 1, 1, 10, 10, 1, 10, 10, 2, 9, 2, 1, 10, 10, 10, 6, 10, 10, 2, 1, 1, 2, 1, 10, 1, 6, 10, 2, 1, 10, 6, 2, 1, 6, 1, 6, 10, 1, 1, 1, 10, 6, 1, 4, 2, 6, 1, 2, 2, 10, 6, 10, 1, 1, 6, 1, 1, 1, 6, 6, 1, 1, 2, 6, 6, 6, 10, 1, 6, 6, 2, 1, 6, 6, 4, 6, 60, 6, 1, 1, 6, 6, 1, 6, 1, 1, 6, 10, 1, 1, 2, 2, 10, 9, 1, 1, 6, 1, 2, 2, 6, 10, 10, 1, 10, 6, 2, 2, 6, 10, 1, 2, 6, 6, 10, 6, 6, 6, 2, 10, 2, 10, 1, 2, 2, 10, 10, 6, 6, 2, 1, 2, 10, 2, 5, 1, 6, 0, 6, 1, 10, 10, 2, 6, 10, 2, 10, 6, 2, 2, 10, 1, 1, 10, 2, 1, 10, 2, 1, 6, 2, 1, 1, 1, 1, 6, 2, 6, 1, 2, 10, 2, 1, 1, 6, 1, 2, 1, 1, 1, 2, 2, 2, 6, 1, 6, 9, 2, 2, 10, 1, 2, 1, 10, 1, 1, 1, 1, 10, 10, 6, 2, 1, 6, 1, 5, 6, 10, 2, 2, 2, 6, 6, 10, 9, 2, 10, 1, 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1, 6, 10, 10, 10, 6, 2, 6, 2, 6, 1, 2, 6, 10, 2, 1, 1, 10, 1, 10, 6, 6, 5, 10, 10, 10, 2, 10, 1, 10, 2, 1, 1, 1, 2, 10, 2, 6, 2, 1, 2, 6, 10, 6, 2, 2, 2, 10, 6, 10, 6, 1, 10, 5, 6, 10, 10, 10, 10, 10, 1, 1, 5, 2, 6, 10, 6, 6, 5, 2, 6, 6, 2, 10, 10, 10, 1, 6, 1, 6, 10, 10, 10, 10, 2, 10, 6, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 6, 6, 1, 6, 6, 2, 2, 1, 10, 6, 6, 1, 2, 2, 1, 10, 9, 1, 2, 6, 1, 2, 10, 6, 10, 1, 2, 6, 6, 2, 10, 10, 4, 2, 9, 1, 2, 6, 10, 6, 6, 6, 1, 10, 10, 2, 10, 1, 10, 1, 2, 1, 1, 0, 6, 2, 1, 1, 9, 6, 1, 2, 6, 1, 1, 2, 6, 2, 10, 9, 1, 10, 0, 1, 6, 10, 6, 1, 6, 6, 6, 2, 2, 2, 0, 2, 10, 10, 6, 1, 1, 1, 6, 1, 6, 6, 2, 2, 6, 10, 1, 6, 1, 1, 1, 6, 10, 2, 10, 2, 1, 6, 10, 10, 1, 10, 6, 10, 1, 10, 2, 10, 1, 1, 2, 6, 10, 1, 6, 6, 10, 2, 2, 2, 10, 2, 10, 1, 2, 10, 1, 6, 6, 2, 1, 1, 1, 6, 6, 2, 2, 1, 10, 9, 1, 2, 6, 10, 2, 10, 2, 1, 6, 10, 10, 6, 1, 4, 1, 9, 6, 6, 6, 2, 10, 1, 10, 1, 2, 2, 1, 1, 6, 2, 6, 10, 6, 2, 1, 1, 6, 1, 2, 6, 10, 1, 1, 1, 1, 10, 2, 2, 6, 6, 2, 2, 6, 2, 1, 2, 6, 2, 1, 10, 10, 10, 6, 10, 2, 10, 10, 6, 10, 10, 9, 2, 2, 1, 2, 10, 6, 10, 1, 2, 2, 6, 1, 2, 2, 1, 1, 2, 6, 10, 6, 2, 10, 6, 2, 6, 6, 2, 6, 10, 1, 10, 1, 1, 6, 2, 2, 1, 6, 6, 6, 10, 0, 1, 10, 2, 6, 6, 1, 6, 1, 10, 6, 10, 10, 6, 2, 1, 2, 6, 1, 2, 6, 10, 10, 6, 6, 1, 2, 6, 9, 10, 6, 10, 6, 6, 10, 1, 10, 1, 6, 10, 2, 6, 1, 5, 1, 1, 2, 2, 1, 2, 2, 5, 1, 6, 2, 2, 10, 4, 10, 6, 6, 6, 6, 6, 1, 10, 2, 6, 1, 2, 10, 6, 10, 10, 2, 1, 10, 1, 1, 2, 1, 10, 2, 10, 2, 1, 10, 2, 1, 2, 1, 10, 6, 1, 10, 1, 10, 6, 1, 2, 1, 9, 1, 2, 10, 10, 1, 1, 1, 6, 6, 2, 10, 4, 1, 2, 6, 2, 6, 1, 6, 1, 10, 10, 6, 6, 10, 6, 10, 1, 10, 1, 1, 6, 10, 6, 2, 10, 2, 2, 1, 10, 10, 9, 2, 1, 1, 2, 10, 2, 2, 6, 6, 2, 9, 6, 2, 6, 4, 2, 2, 10, 2, 1, 2, 1, 2, 1, 6, 0, 2, 1, 1, 1, 10, 2, 2, 10, 10, 2, 10, 6, 1, 6, 2, 1, 6, 2, 5, 6, 10, 10, 1, 10, 2, 6, 10, 6, 6, 1, 10, 10, 2, 2, 1, 6, 6, 10, 2, 6, 0, 6, 1, 10, 5, 2, 1, 6, 1, 2, 6, 10, 6, 2, 2, 2, 6, 1, 2, 2, 1, 10, 2, 6, 6, 1, 2, 10, 10, 1, 0, 10, 1, 1, 1, 1, 10, 2, 10, 1, 1, 6, 1, 1, 4, 2, 1, 6, 2, 2, 6, 6, 10, 10, 1, 10, 1, 2, 1, 9, 6, 10, 6, 10, 10, 2, 6, 6, 6, 1, 10, 6, 6, 10, 6, 2, 10, 6, 10, 10, 6, 1, 6, 6, 1, 6, 6, 1, 1, 10, 1, 1, 1, 1, 10, 2, 10, 1, 1, 6, 1, 2, 6, 6, 10, 1, 6, 2, 10, 2, 10, 2, 2, 1, 1, 2, 1, 10, 10, 6, 1, 1, 2, 5, 10, 2, 2, 6, 10, 1, 2, 2, 2, 6, 6, 2, 1, 10, 2, 6, 2, 1, 6, 6, 10, 1, 10, 1, 2, 6, 1, 10, 2, 6, 2, 10, 2, 2, 1, 1, 2, 6, 6, 5, 2, 10, 2, 6, 1, 10, 1, 4, 6, 1, 6, 10, 2, 1, 6, 1, 1, 2, 6, 1, 2, 2, 6, 10, 10, 6, 6, 2, 10, 10, 6, 2, 1, 6, 1, 2, 2, 6, 2, 4, 1, 1, 10, 1, 2, 10, 10, 2, 6, 6, 2, 9, 10, 2, 2, 10, 10, 10, 10, 6, 6, 10, 2, 10, 2, 1, 1, 6, 1, 6, 6, 2, 1, 10, 6, 6, 2, 2, 10, 10, 6, 10, 5, 6, 1, 6, 10, 1, 1, 2, 6, 10, 10, 2, 6, 6, 2, 2, 1, 6, 6, 10, 2, 2, 2, 1, 1, 2, 6, 10, 6, 2, 1, 2, 1, 10, 1, 1, 10, 6, 6, 10, 2, 10, 10, 10, 6, 1, 6, 10, 1, 2, 6, 4, 6, 1, 1, 1, 6, 1, 2, 6, 2, 6, 6, 2, 6, 1, 2, 1, 10, 2, 0, 2, 1, 10, 6, 2, 1, 6, 10, 10, 1, 1, 2, 1, 1, 6, 1, 3, 10, 6, 10, 1, 6, 2, 2, 0, 6, 6, 10, 2, 1, 10, 10, 1, 10, 1, 1, 1, 10, 6, 10, 1, 1, 1, 2, 6, 1, 2, 10, 2, 1, 6, 6, 6, 2, 2, 2, 2, 10, 1, 6, 6, 1, 10, 10, 0, 2, 2, 6, 6, 1, 10, 1, 1, 2, 10, 10, 2, 1, 10, 6, 1, 5, 1, 10, 10, 10, 10, 10, 2, 6, 1, 1, 1, 10, 2, 1, 6, 60, 6, 2, 1, 6, 10, 10, 1, 2, 2, 6, 1, 10, 10, 2, 10, 10, 2, 10, 10, 10, 2, 2, 1, 6, 1, 10, 1, 1, 10, 10, 6, 1, 10, 10, 1, 6, 10, 10, 1, 6, 6, 2, 2, 1, 6, 2, 1, 1, 10, 10, 1, 2, 1, 10, 10, 10, 6, 6, 2, 1, 2, 1, 2, 6, 2, 1, 2, 1, 2, 1, 10, 10, 2, 6, 1, 10, 6, 1, 6, 10, 6, 6, 2, 6, 1, 1, 6, 10, 1, 10, 1, 6, 10, 10, 2, 2, 1, 6, 2, 1, 10, 2, 1, 6, 6, 1, 10, 10, 10, 1, 6, 10, 6, 10, 1, 2, 6, 2, 10, 6, 6, 1, 2, 1, 6, 10, 6, 10, 10, 1, 2, 1, 10, 1, 10, 6, 10, 1, 2, 10, 1, 10, 6, 10, 6, 2, 10, 1, 1, 10, 1, 1, 1, 1, 6, 2, 6, 10, 2, 10, 1, 2, 2, 10, 1, 10, 10, 6, 1, 6, 10, 6, 10, 6, 1, 1, 2, 2, 2, 6, 6, 2, 1, 6, 1, 2, 6, 6, 10, 6, 6, 10, 2, 9, 6, 1, 10, 2, 6, 6, 10, 10, 6, 1, 6, 6, 6, 10, 10, 6, 6, 6, 6, 10, 10, 1, 1, 10, 10, 10, 10, 6, 1, 6, 2, 6, 2, 1, 10, 1, 2, 2, 2, 1, 10, 6, 2, 1, 1, 1, 2, 1, 1, 6, 10, 6, 6, 2, 2, 1, 2, 2, 6, 10, 10, 10, 10, 2, 2, 6, 2, 2, 6, 2, 6, 2, 1, 10, 1, 1, 10, 10, 6, 2, 10, 6, 6, 1, 10, 6, 2, 1, 2, 10, 10, 1, 1, 6, 2, 2, 1, 6, 2, 2, 1, 1, 2, 2, 2, 1, 1, 6, 1, 6, 6, 2, 1, 2, 2, 10, 1, 2, 2, 10, 6, 1, 2, 2, 4, 1, 1, 2, 2, 6, 6, 6, 10, 1, 10, 2, 1, 1, 2, 2, 1, 6, 2, 10, 1, 2, 10, 6, 2, 10, 1, 1, 6, 2, 10, 10, 1, 6, 4, 2, 6, 10, 10, 10, 1, 10, 6, 1, 6, 1, 6, 9, 2, 2, 10, 1, 6, 10, 1, 10, 2, 2, 2, 2, 10, 6, 2, 10, 10, 2, 50, 2, 2, 6, 6, 1, 1, 2, 2, 10, 6, 2, 1, 6, 6, 2, 2, 10, 10, 6, 6, 10, 1, 1, 6, 1, 6, 10, 6, 10, 1, 6, 6, 1, 1, 10, 2, 1, 6, 10, 10, 6, 6, 10, 2, 1, 6, 6, 6, 2, 1, 1, 2, 2, 1, 6, 10, 4, 10, 2, 1, 2, 1, 1, 10, 2, 6, 1, 10, 5, 1, 2, 1, 1, 6, 2, 0, 10, 1, 10, 6, 10, 1, 6, 10, 10, 6, 1, 6, 2, 6, 10, 1, 6, 2, 1, 10, 6, 10, 6, 2, 1, 6, 10, 2, 1, 6, 1, 1, 1, 6, 2, 10, 10, 6, 6, 2, 10, 10, 10, 6, 6, 6, 10, 6, 10, 2, 2, 1, 2, 6, 10, 2, 10, 6, 2, 6, 1, 2, 1, 6, 6, 2, 10, 1, 2, 10, 2, 6, 6, 2, 6, 1, 2, 1, 2, 6, 6, 10, 1, 6, 1, 1, 2, 10, 6, 2, 10, 1, 10, 1, 6, 10, 2, 10, 10, 1, 1, 10, 2, 6, 2, 10, 10, 5, 6, 6, 2, 1, 2, 1, 10, 2, 2, 1, 1, 10, 9, 10, 10, 10, 2, 6, 1, 1, 10, 6, 1, 6, 1, 1, 10, 6, 1, 10, 10, 6, 9, 2, 6, 2, 1, 6, 1, 2, 2, 1, 1, 5, 2, 10, 10, 2, 1, 6, 1, 10, 10, 1, 6, 1, 10, 2, 10, 1, 10, 6, 0, 10, 2, 6, 10, 2, 1, 6, 10, 9, 2, 10, 2, 10, 1, 6, 6, 6, 1, 6, 1, 1, 1, 6, 10, 6, 5, 6, 2, 6, 6, 10, 2, 10, 6, 2, 1, 2, 10, 1, 2, 2, 2, 1, 1, 10, 10, 6, 10, 6, 1, 1, 1, 10, 2, 10, 1, 6, 10, 2, 6, 10, 10, 6, 6, 10, 1, 2, 1, 6, 1, 2, 10, 2, 2, 6, 1, 1, 1, 6, 5, 1, 6, 10, 2, 6, 2, 2, 10, 1, 1, 4, 6, 1, 6, 10, 2, 10, 6, 1, 6, 10, 10, 10, 6, 1, 2, 6, 10, 2, 10, 1, 6, 2, 10, 10, 6, 2, 1, 2, 10, 2, 2, 1, 1, 10, 1, 1, 1, 6, 10, 1, 2, 6, 2, 6, 2, 6, 6, 1, 1, 6, 1, 6, 10, 1, 6, 2, 10, 1, 2, 6, 1, 10, 1, 2, 2, 0, 2, 2, 2, 6, 10, 10, 10, 2, 2, 10, 10, 2, 6, 10, 2, 1, 10, 1, 1, 10, 6, 10, 2, 2, 2, 10, 10, 10, 2, 1, 1, 1, 1, 1, 1, 1, 2, 10, 6, 6, 10, 2, 6, 2, 10, 10, 2, 1, 1, 4, 6, 6, 10, 1, 5, 2, 1, 10, 10, 2, 6, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 10, 10, 1, 10, 6, 1, 2, 1, 6, 6, 10, 2, 1, 6, 6, 10, 6, 1, 2, 6, 2, 2, 2, 10, 5, 4, 2, 2, 1, 2, 2, 10, 2, 6, 2, 6, 1, 2, 1, 6, 6, 0, 10, 6, 2, 2, 4, 1, 6, 6, 6, 2, 2, 2, 10, 1, 1, 10, 2, 1, 1, 1, 10, 1, 2, 10, 2, 2, 2, 6, 10, 10, 1, 1, 6, 10, 10, 10, 1, 10, 1, 2, 4, 2, 1, 10, 6, 2, 6, 1, 10, 1, 2, 6, 2, 1, 10, 1, 1, 2, 10, 6, 10, 1, 1, 1, 10, 1, 6, 10, 10, 2, 6, 1, 10, 2, 10, 1, 10, 6, 1, 6, 9, 1, 1, 1, 10, 1, 1, 10, 6, 6, 1, 1, 1, 6, 6, 10, 1, 1, 1, 2, 6, 2, 1, 10, 10, 1, 2, 6, 2, 1, 6, 10, 10, 2, 10, 10, 2, 6, 6, 1, 2, 1, 1, 6, 1, 6, 2, 1, 1, 2, 2, 10, 10, 10, 1, 1, 10, 2, 10, 6, 6, 2, 6, 2, 1, 6, 6, 6, 10, 1, 6, 2, 10, 6, 2, 1, 6, 9, 10, 6, 2, 1, 2, 10, 10, 2, 1, 1, 1, 6, 2, 1, 2, 2, 6, 1, 10, 6, 2, 10, 6, 2, 1, 2, 10, 10, 1, 6, 2, 10, 10, 10, 1, 10, 2, 2, 10, 1, 6, 1, 10, 10, 2, 9, 2, 1, 2, 9, 10, 1, 1, 2, 6, 1, 1, 2, 6, 2, 1, 10, 1, 2, 2, 1, 1, 1, 2, 1, 10, 10, 2, 1, 10, 2, 6, 1, 10, 6, 2, 0, 1, 6, 10, 6, 2, 6, 1, 6, 2, 10, 1, 10, 10, 2, 10, 2, 10, 6, 1, 5, 6, 6, 1, 10, 6, 1, 2, 10, 5, 2, 10, 2, 2, 2, 2, 1, 1, 5, 1, 9, 1, 6, 4, 1, 2, 10, 2, 2, 6, 10, 6, 2, 2, 10, 2, 1, 2, 2, 6, 1, 10, 10, 2, 10, 2, 10, 10, 6, 4, 6, 10, 1, 6, 2, 2, 6, 1, 1, 2, 10, 1, 2, 2, 1, 0, 6, 2, 10, 10, 10, 10, 6, 10, 2, 6, 10, 10, 1, 2, 2, 1, 6, 2, 10, 1, 1, 6, 1, 1, 1, 2, 1, 5, 2, 6, 10, 2, 6, 6, 6, 2, 1, 6, 2, 10, 2, 6, 1, 2, 1, 1, 2, 4, 10, 2, 6, 6, 4, 2, 6, 2, 2, 10, 10, 2, 10, 2, 6, 2, 2, 6, 2, 6, 4, 1, 6, 10, 2, 10, 6, 6, 2, 6, 2, 1, 1, 10, 10, 2, 1, 4, 2, 1, 6, 10, 10, 6, 10, 10, 1, 6, 6, 2, 1, 10, 10, 6, 1, 6, 6, 1, 2, 1, 2, 10, 10, 6, 5, 1, 10, 10, 6, 10, 2, 2, 10, 6, 6, 2, 1, 6, 1, 10, 0, 2, 1, 6, 10, 6, 10, 2, 10, 2, 2, 2, 1, 1, 1, 10, 2, 6, 10, 6, 2, 10, 2, 1, 6, 2, 10, 1, 10, 1, 6, 1, 10, 10, 6, 6, 6, 2, 2, 1, 1, 6, 10, 2, 6, 2, 10, 10, 10, 1, 1, 1, 2, 2, 10, 6, 1, 2, 6, 1, 6, 6, 2, 6, 6, 6, 2, 6, 9, 2, 10, 10, 10, 10, 1, 10, 6, 2, 6, 10, 2, 2, 1, 1, 10, 10, 2, 2, 2, 6, 6, 1, 10, 6, 10, 1, 2, 2, 6, 6, 4, 10, 10, 0, 6, 2, 6, 10, 10, 1, 1, 6, 1, 2, 2, 2, 6, 6, 1, 10, 10, 2, 1, 1, 1, 1, 2, 6, 10, 1, 1, 6, 10, 6, 2, 1, 2, 2, 1, 2, 6, 6, 6, 2, 5, 10, 10, 10, 2, 6, 2, 10, 4, 10, 2, 1, 2, 10, 10, 2, 6, 1, 6, 6, 1, 0, 2, 10, 1, 10, 2, 2, 10, 1, 1, 1, 6, 1, 2, 2, 2, 1, 6, 1, 2, 2, 1, 9, 1, 2, 6, 1, 2, 10, 6, 1, 10, 2, 6, 6, 2, 1, 10, 10, 10, 10, 6, 10, 10, 2, 6, 10, 1, 2, 2, 10, 2, 10, 10, 1, 1, 2, 2, 0, 1, 10, 10, 6, 1, 1, 6, 10, 1, 2, 6, 10, 6, 1, 6, 0, 2, 10, 1, 2, 2, 10, 6, 1, 2, 6, 2, 10, 1, 10, 2, 10, 10, 10, 1, 10, 1, 10, 2, 1, 2, 1, 6, 1, 1, 6, 10, 2, 2, 1, 10, 1, 10, 10, 6, 2, 8, 1, 1, 6, 1, 10, 1, 6, 1, 5, 2, 10, 6, 1, 2, 0, 6, 6, 6, 2, 10, 6, 6, 1, 1, 10, 6, 2, 10, 6, 1, 2, 6, 1, 2, 6, 10, 10, 2, 6, 2, 2, 1, 6, 2, 10, 6, 6, 6, 2, 6, 6, 1, 6, 2, 10, 1, 10, 2, 4, 2, 10, 1, 2, 10, 2, 2, 6, 6, 1, 10, 6, 10, 6, 2, 1, 10, 2, 1, 10, 1, 2, 2, 1, 1, 6, 2, 6, 2, 6, 6, 2, 6, 2, 0, 2, 1, 2, 2, 1, 6, 6, 10, 6, 2, 1, 2, 6, 1, 10, 10, 6, 6, 6, 10, 6, 6, 6, 2, 6, 6, 10, 6, 6, 2, 1, 8, 2, 10, 2, 2, 6, 1, 10, 10, 1, 2, 1, 10, 10, 10, 10, 6, 6, 10, 10, 2, 6, 2, 2, 1, 6, 2, 6, 6, 10, 2, 6, 6, 2, 6, 1, 2, 1, 2, 2, 6, 1, 2, 10, 10, 2, 6, 1, 1, 1, 10, 6, 2, 10, 12, 6, 2, 1, 10, 10, 10, 4, 10, 6, 10, 5, 6, 10, 2, 2, 2, 1, 3, 6, 2, 10, 6, 1, 6, 10, 1, 10, 10, 6, 10, 1, 10, 2, 1, 6, 6, 6, 2, 1, 6, 1, 6, 1, 2, 10, 1, 1, 2, 2, 10, 2, 10, 10, 2, 2, 10, 10, 1, 6, 10, 10, 10, 1, 6, 6, 10, 2, 6, 10, 10, 1, 1, 1, 2, 10, 10, 10, 6, 1, 6, 6, 2, 10, 2, 6, 6, 6, 10, 1, 1, 6, 6, 6, 6, 1, 6, 2, 6, 0, 1, 6, 6, 2, 6, 10, 10, 1, 2, 6, 10, 1, 1, 2, 2, 10, 6, 6, 6, 10, 2, 1, 2, 10, 10, 10, 2, 1, 1, 2, 1, 9, 1, 1, 1, 10, 2, 1, 2, 10, 10, 10, 1, 10, 1, 2, 1, 1, 6, 10, 10, 10, 1, 6, 10, 10, 1, 1, 9, 6, 6, 6, 1, 6, 2, 10, 1, 2, 1, 10, 2, 2, 6, 1, 2, 6, 2, 2, 1, 2, 2, 2, 1, 6, 6, 2, 10, 1, 6, 10, 2, 1, 1, 1, 1, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 6, 6, 10, 2, 1, 2, 1, 1, 4, 10, 2, 0, 6, 6, 6, 10, 6, 0, 6, 1, 2, 2, 1, 1, 1, 2, 10, 10, 6, 10, 10, 10, 2, 10, 10, 1, 2, 2, 2, 2, 10, 6, 6, 1, 1, 1, 4, 6, 1, 6, 2, 2, 2, 6, 6, 1, 1, 10, 10, 2, 2, 1, 6, 2, 1, 10, 1, 6, 6, 2, 2, 6, 2, 1, 10, 2, 10, 6, 2, 2, 10, 1, 1, 1, 1, 6, 2, 2, 5, 6, 10, 1, 2, 10, 2, 2, 2, 10, 10, 2, 10, 1, 10, 6, 1, 6, 6, 1, 6, 10, 1, 2, 6, 6, 6, 6, 2, 6, 10, 6, 1, 1, 10, 10, 2, 10, 2, 10, 10, 1, 6, 10, 2, 1, 6, 6, 2, 2, 2, 1, 6, 10, 6, 6, 2, 10, 1, 2, 6, 9, 1, 10, 6, 10, 6, 6, 2, 10, 6, 1, 4, 6, 2, 10, 2, 6, 2, 10, 1, 1, 10, 6, 6, 6, 6, 2, 6, 2, 10, 1, 10, 6, 6, 10, 10, 1, 10, 2, 1, 2, 6, 6, 10, 1, 6, 10, 10, 10, 6, 60, 10, 10, 10, 1, 1, 1, 1, 2, 6, 6, 1, 2, 10, 1, 2, 1, 2, 1, 2, 1, 10, 2, 10, 1, 10, 1, 10, 2, 10, 1, 10, 2, 5, 1, 10, 10, 1, 2, 10, 1, 2, 1, 2, 1, 2, 10, 1, 6, 6, 2, 6, 10, 5, 10, 10, 2, 1, 2, 6, 1, 4, 6, 10, 1, 10, 6, 2, 1, 2, 1, 1, 2, 10, 2, 2, 6, 2, 6, 1, 10, 2, 6, 10, 10, 6, 6, 1, 6, 10, 1, 2, 2, 2, 1, 10, 2, 10, 2, 6, 2, 2, 2, 6, 10, 2, 1, 6, 2, 10, 2, 10, 1, 2, 2, 6, 6, 2, 1, 1, 6, 10, 2, 6, 10, 6, 1, 2, 2, 1, 6, 9, 1, 1, 6, 10, 10, 1, 2, 6, 10, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 10, 2, 10, 2, 1, 6, 1, 6, 1, 10, 1, 1, 10, 1, 6, 1, 6, 2, 6, 10, 10, 10, 10, 1, 6, 2, 2, 2, 2, 10, 1, 6, 2, 1, 1, 10, 6, 6, 0, 10, 1, 2, 1, 2, 6, 1, 2, 2, 6, 10, 6, 6, 5, 1, 1, 4, 6, 1, 9, 10, 6, 1, 1, 1, 6, 6, 10, 2, 10, 5, 10, 2, 10, 6, 1, 6, 6, 6, 2, 6, 10, 10, 2, 6, 1, 1, 6, 2, 2, 10, 6, 10, 6, 10, 10, 1, 10, 2, 2, 10, 6, 5, 10, 10, 3, 1, 1, 1, 10, 10, 2, 2, 6, 10, 5, 6, 10, 1, 10, 1, 6, 1, 2, 1, 1, 1, 10, 1, 2, 1, 6, 1, 2, 9, 10, 2, 10, 1, 1, 2, 6, 1, 3, 6, 10, 2, 10, 2, 10, 2, 6, 10, 1, 1, 10, 2, 2, 2, 2, 1, 6, 1, 6, 10, 1, 0, 6, 0, 10, 2, 1, 6, 10, 6, 1, 10, 10, 6, 6, 6, 2, 1, 1, 10, 10, 10, 1, 2, 10, 10, 1, 6, 1, 2, 0, 10, 1, 1, 1, 2, 2, 1, 2, 10, 6, 6, 6, 6, 2, 1, 6, 2, 1, 1, 1, 2, 10, 1, 10, 1, 2, 10, 2, 10, 2, 1, 1, 10, 6, 10, 2, 1, 9, 2, 6, 10, 10, 1, 2, 6, 10, 1, 4, 2, 1, 1, 2, 6, 10, 2, 2, 1, 2, 2, 10, 10, 6, 2, 2, 1, 6, 1, 10, 1, 6, 1, 1, 1, 10, 1, 2, 2, 6, 10, 6, 10, 6, 1, 2, 10, 6, 2, 2, 1, 1, 2, 6, 9, 10, 2, 0, 6, 10, 6, 6, 6, 1, 6, 1, 1, 2, 2, 6, 1, 0, 2, 10, 10, 2, 10, 6, 10, 2, 6, 2, 5, 1, 2, 6, 6, 1, 6, 2, 10, 10, 2, 1, 6, 10, 10, 2, 1, 2, 6, 10, 6, 10, 10, 10, 6, 6, 10, 6, 10, 6, 2, 1, 2, 10, 1, 6, 2, 2, 10, 6, 1, 4, 2, 1, 2, 6, 2, 2, 2, 1, 6, 1, 10, 10, 6, 10, 6, 2, 2, 2, 10, 2, 2, 10, 2, 1, 2, 10, 2, 2, 1, 10, 6, 1, 2, 6, 9, 1, 2, 1, 6, 1, 6, 1, 2, 1, 2, 0, 10, 1, 10, 1, 6, 10, 10, 6, 2, 2, 1, 2, 6, 10, 6, 10, 6, 1, 2, 10, 1, 1, 6, 6, 10, 6, 2, 2, 2, 1, 6, 10, 1, 2, 6, 10, 10, 10, 1, 6, 10, 6, 6, 1, 2, 1, 1, 2, 1, 1, 10, 2, 6, 10, 10, 2, 6, 6, 2, 10, 6, 10, 1, 10, 6, 6, 6, 1, 2, 6, 6, 10, 1, 2, 10, 10, 10, 6, 1, 10, 10, 10, 2, 10, 2, 1, 2, 6, 2, 2, 2, 2, 6, 6, 2, 4, 1, 2, 2, 10, 2, 5, 6, 10, 6, 6, 1, 6, 1, 10, 6, 10, 1, 1, 2, 1, 1, 10, 10, 2, 2, 1, 6, 6, 10, 2, 1, 2, 10, 5, 1, 6, 4, 1, 1, 2, 6, 10, 1, 6, 6, 2, 1, 2, 1, 10, 6, 1, 2, 6, 0, 6, 6, 6, 2, 10, 2, 1, 1, 6, 10, 6, 10, 10, 1, 10, 2, 10, 4, 10, 6, 1, 6, 2, 2, 6, 10, 10, 1, 2, 2, 2, 2, 10, 2, 2, 10, 1, 10, 2, 6, 10, 6, 2, 6, 6, 1, 6, 2, 10, 2, 6, 6, 5, 2, 10, 2, 10, 1, 9, 1, 2, 6, 6, 2, 6, 1, 1, 10, 6, 2, 2, 10, 1, 1, 6, 1, 10, 1, 10, 10, 10, 10, 1, 6, 1, 6, 2, 2, 6, 6, 10, 6, 10, 0, 2, 10, 2, 1, 1, 9, 6, 10, 1, 2, 6, 6, 6, 10, 1, 10, 2, 1, 10, 1, 1, 10, 1, 10, 1, 6, 2, 10, 1, 1, 1, 6, 6, 5, 1, 10, 10, 6, 2, 6, 10, 1, 1, 2, 1, 2, 6, 1, 6, 2, 2, 10, 1, 6, 10, 10, 2, 10, 1, 6, 6, 2, 2, 10, 2, 1, 2, 1, 10, 10, 10, 1, 1, 1, 1, 1, 1, 10, 1, 1, 10, 10, 6, 1, 6, 10, 6, 6, 1, 10, 2, 10, 1, 1, 2, 10, 2, 10, 1, 10, 1, 10, 1, 10, 10, 2, 10, 2, 6, 2, 10, 10, 1, 1, 1, 2, 6, 6, 2, 6, 2, 1, 4, 2, 10, 2, 6, 1, 10, 10, 10, 2, 6, 1, 10, 1, 2, 10, 9, 2, 2, 1, 2, 10, 1, 6, 10, 2, 2, 2, 1, 1, 10, 6, 10, 1, 6, 1, 10, 1, 1, 1, 10, 10, 1, 2, 2, 1, 6, 6, 1, 2, 2, 2, 7, 1, 1, 1, 10, 2, 10, 1, 10, 1, 1, 2, 6, 2, 9, 10, 1, 2, 1, 10, 2, 2, 6, 1, 10, 10, 10, 5, 10, 10, 1, 10, 10, 2, 1, 1, 2, 1, 6, 10, 2, 2, 2, 1, 1, 6, 6, 6, 1, 10, 2, 6, 10, 2, 1, 2, 10, 5, 1, 10, 1, 2, 10, 2, 10, 1, 6, 2, 2, 6, 1, 2, 2, 10, 10, 2, 2, 2, 2, 1, 6, 1, 10, 1, 2, 6, 6, 1, 2, 6, 10, 2, 10, 10, 6, 10, 2, 1, 2, 6, 2, 10, 1, 10, 10, 10, 10, 1, 1, 10, 2, 1, 1, 5, 10, 1, 10, 1, 1, 2, 2, 6, 1, 10, 1, 10, 1, 1, 6, 10, 1, 2, 2, 10, 6, 6, 2, 6, 10, 6, 2, 10, 2, 6, 10, 2, 1, 1, 1, 1, 2, 10, 1, 1, 0, 10, 6, 6, 6, 1, 10, 1, 2, 2, 2, 6, 2, 1, 10, 6, 4, 9, 2, 1, 10, 2, 10, 10, 10, 10, 6, 10, 10, 10, 6, 6, 2, 6, 2, 2, 9, 10, 10, 10, 1, 10, 1, 6, 10, 1, 10, 6, 6, 1, 10, 6, 2, 6, 1, 1, 10, 2, 1, 6, 10, 10, 10, 6, 10, 1, 10, 2, 10, 6, 1, 6, 2, 2, 4, 6, 1, 1, 10, 10, 1, 10, 10, 10, 10, 2, 9, 6, 2, 10, 2, 6, 2, 2, 2, 10, 5, 1, 10, 10, 2, 10, 2, 10, 6, 10, 2, 2, 6, 6, 2, 10, 1, 1, 2, 6, 8, 2, 6, 6, 10, 10, 6, 2, 2, 10, 10, 1, 1, 1, 2, 1, 2, 2, 1, 6, 1, 1, 10, 10, 6, 10, 6, 2, 2, 2, 1, 1, 1, 1, 2, 6, 6, 10, 1, 6, 2, 1, 10, 2, 2, 2, 2, 0, 6, 6, 10, 6, 6, 2, 1, 6, 1, 2, 1, 6, 9, 10, 1, 10, 2, 6, 1, 10, 6, 6, 2, 1, 10, 1, 10, 2, 1, 1, 6, 2, 6, 1, 2, 6, 2, 10, 10, 6, 6, 1, 6, 6, 2, 6, 9, 6, 6, 10, 6, 2, 1, 9, 1, 9, 1, 10, 6, 1, 6, 1, 10, 1, 2, 6, 10, 10, 6, 10, 1, 1, 10, 10, 10, 1, 1, 6, 10, 6, 1, 6, 2, 2, 5, 1, 6, 6, 1, 10, 2, 10, 6, 6, 10, 4, 10, 6, 6, 1, 2, 10, 6, 1, 1, 2, 2, 6, 10, 1, 1, 6, 6, 2, 6, 6, 1, 10, 10, 10, 2, 6, 2, 1, 2, 6, 6, 6, 6, 2, 2, 6, 1, 10, 1, 2, 1, 5, 2, 1, 1, 6, 10, 2, 1, 1, 2, 6, 6, 1, 6, 10, 10, 5, 6, 10, 10, 6, 2, 6, 10, 10, 10, 10, 10, 6, 10, 1, 2, 1, 6, 10, 2, 1, 6, 2, 1, 10, 10, 2, 1, 1, 6, 1, 1, 6, 4, 6, 10, 1, 1, 10, 6, 2, 1, 2, 2, 6, 2, 1, 10, 2, 1, 2, 6, 6, 2, 2, 1, 10, 10, 1, 10, 1, 1, 1, 1, 10, 9, 1, 10, 10, 1, 10, 6, 10, 2, 10, 10, 10, 6, 1, 6, 6, 2, 5, 10, 6, 1, 6, 2, 10, 10, 2, 2, 6, 1, 6, 10, 6, 2, 2, 10, 10, 5, 10, 6, 2, 1, 1, 2, 6, 6, 6, 6, 2, 10, 10, 10, 10, 2, 10, 1, 6, 10, 10, 2, 10, 2, 9, 10, 10, 10, 1, 2, 1, 1, 2, 6, 6, 10, 2, 2, 1, 6, 2, 2, 2, 10, 10, 1, 1, 6, 2, 6, 6, 10, 1, 2, 10, 2, 6, 2, 1, 2, 6, 6, 2, 6, 2, 1, 10, 1, 10, 10, 1, 2, 6, 6, 6, 10, 1, 2, 2, 1, 6, 2, 1, 6, 10, 2, 10, 1, 1, 6, 1, 6, 1, 1, 2, 2, 6, 6, 6, 1, 1, 1, 1, 6, 6, 6, 6, 10, 10, 5, 2, 1, 10, 10, 6, 1, 1, 2, 1, 2, 1, 2, 10, 1, 2, 6, 6, 6, 1, 2, 10, 6, 1, 2, 1, 6, 10, 0, 2, 1, 9, 10, 10, 6, 2, 10, 2, 1, 1, 6, 2, 2, 2, 10, 10, 1, 10, 2, 1, 6, 10, 6, 6, 2, 1, 8, 10, 2, 6, 10, 10, 6, 2, 2, 10, 1, 2, 2, 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10, 1, 6, 10, 6, 6, 6, 6, 10, 1, 10, 10, 2, 10, 10, 6, 6, 2, 1, 10, 10, 6, 6, 5, 10, 6, 10, 1, 1, 1, 6, 10, 10, 5, 2, 2, 1, 10, 10, 2, 6, 1, 6, 5, 10, 6, 1, 10, 2, 6, 6, 2, 10, 1, 6, 4, 6, 2, 1, 1, 4, 2, 10, 1, 2, 1, 1, 6, 10, 1, 2, 6, 5, 10, 6, 1, 2, 6, 10, 10, 10, 10, 6, 10, 10, 10, 10, 10, 2, 6, 1, 10, 10, 10, 10, 1, 2, 2, 1, 10, 1, 1, 6, 2, 2, 6, 6, 6, 6, 10, 6, 1, 1, 6, 6, 2, 1, 6, 10, 10, 10, 6, 10, 10, 2, 6, 10, 10, 1, 10, 10, 1, 6, 2, 1, 10, 6, 1, 10, 10, 10, 1, 1, 10, 10, 2, 6, 1, 10, 10, 1, 6, 1, 1, 1, 10, 1, 10, 2, 10, 6, 9, 1, 10, 2, 6, 2, 10, 6, 1, 10, 4, 10, 2, 2, 6, 10, 2, 2, 2, 2, 2, 10, 0, 1, 10, 6, 2, 0, 1, 2, 1, 2, 2, 10, 6, 6, 2, 6, 10, 10, 10, 6, 6, 6, 2, 10, 10, 6, 2, 2, 1, 6, 1, 2, 1, 6, 1, 1, 5, 2, 1, 6, 10, 6, 6, 10, 10, 2, 2, 10, 6, 6, 2, 1, 10, 1, 10, 1, 6, 2, 6, 6, 2, 6, 1, 2, 2, 10, 6, 6, 6, 10, 6, 2, 1, 6, 1, 6, 2, 6, 10, 1, 2, 10, 2, 6, 6, 2, 2, 2, 6, 2, 2, 1, 1, 6, 1, 10, 6, 10, 2, 6, 2, 10, 6, 1, 1, 2, 1, 6, 1, 1, 1, 6, 6, 2, 1, 2, 1, 6, 6, 2, 2, 1, 2, 2, 6, 2, 10, 6, 1, 1, 9, 1, 2, 1, 1, 2, 1, 10, 10, 1, 1, 2, 6, 2, 6, 6, 10, 1, 10, 2, 2, 6, 10, 1, 6, 1, 10, 2, 2, 10, 2, 1, 10, 10, 6, 1, 10, 10, 10, 10, 2, 6, 1, 2, 6, 1, 1, 10, 6, 1, 6, 2, 1, 6, 2, 6, 1, 2, 6, 2, 2, 10, 6, 1, 6, 2, 10, 10, 2, 4, 6, 1, 6, 1, 6, 2, 6, 1, 10, 10, 0, 1, 2, 10, 6, 1, 10, 6, 2, 6, 10, 2, 10, 10, 10, 10, 2, 1, 1, 2, 4, 10, 10, 6, 6, 1, 6, 10, 1, 1, 1, 2, 10, 1, 1, 1, 10, 1, 6, 4, 1, 10, 2, 5, 2, 2, 1, 10, 1, 10, 1, 2, 9, 2, 6, 10, 10, 10, 10, 10, 6, 10, 1, 6, 10, 6, 1, 10, 10, 10, 0, 10, 1, 1, 2, 1, 6, 1, 2, 6, 2, 2, 10, 6, 10, 1, 2, 1, 2, 2, 10, 10, 2, 1, 0, 6, 10, 1, 6, 6, 2, 2, 6, 1, 6, 10, 10, 2, 1, 1, 6, 2, 1, 10, 6, 6, 6, 2, 1, 2, 10, 6, 6, 6, 10, 2, 10, 2, 2, 6, 6, 2, 10, 6, 6, 1, 6, 2, 1, 10, 6, 10, 1, 2, 1, 6, 1, 6, 1, 10, 1, 10, 6, 1, 10, 6, 1, 1, 10, 10, 10, 6, 6, 1, 10, 10, 10, 2, 10, 2, 6, 6, 10, 6, 1, 6, 6, 1, 6, 1, 6, 6, 6, 2, 10, 10, 6, 1, 2, 1, 10, 10, 6, 2, 10, 6, 1, 6, 6, 2, 10, 5, 2, 6, 2, 1, 10, 6, 1, 2, 1, 6, 2, 6, 10, 10, 6, 1, 1, 1, 1, 6, 9, 6, 1, 10, 10, 6, 6, 2, 10, 10, 2, 6, 2, 6, 6, 2, 2, 2, 2, 1, 5, 10, 10, 9, 2, 1, 1, 2, 10, 2, 2, 2, 6, 2, 6, 2, 0, 10, 10, 4, 1, 6, 6, 1, 6, 6, 6, 2, 1, 2, 1, 6, 10, 2, 2, 10, 6, 4, 2, 6, 10, 10, 1, 2, 10, 6, 1, 2, 1, 10, 1, 1, 1, 6, 6, 6, 6, 6, 10, 6, 2, 1, 6, 2, 2, 1, 1, 10, 2, 1, 2, 10, 2, 2, 1, 2, 1, 6, 6, 2, 6, 1, 6, 1, 1, 2, 1, 10, 2, 10, 10, 6, 2, 1, 2, 9, 2, 10, 2, 1, 2, 2, 6, 6, 6, 2, 10, 2, 2, 6, 10, 10, 2, 2, 6, 4, 6, 1, 6, 6, 6, 10, 2, 6, 6, 6, 1, 10, 6, 6, 1, 2, 2, 1, 6, 10, 10, 10, 2, 2, 10, 2, 1, 2, 10, 10, 2, 6, 10, 2, 6, 1, 1, 1, 6, 1, 0, 2, 2, 10, 1, 6, 2, 2, 6, 1, 1, 6, 2, 6, 10, 10, 10, 10, 10, 6, 1, 2, 10, 2, 10, 6, 10, 6, 2, 1, 6, 2, 6, 10, 1, 1, 1, 1, 2, 2, 2, 2, 6, 10, 1, 1, 10, 2, 6, 1, 1, 10, 1, 2, 6, 1, 2, 2, 10, 10, 10, 10, 6, 2, 1, 2, 1, 6, 6, 10, 6, 10, 10, 6, 6, 10, 2, 2, 10, 2, 10, 4, 6, 6, 1, 1, 6, 9, 10, 2, 10, 2, 6, 1, 1, 0, 1, 10, 1, 6, 6, 1, 6, 2, 2, 2, 10, 6, 6, 1, 1, 6, 1, 2, 1, 6, 6, 10, 1, 1, 10, 1, 10, 1, 10, 0, 10, 6, 2, 1, 10, 10, 2, 2, 0, 1, 4, 1, 1, 2, 1, 6, 6, 1, 1, 1, 6, 1, 10, 2, 10, 6, 6, 1, 1, 1, 6, 6, 10, 10, 6, 1, 2, 1, 6, 1, 1, 6, 10, 6, 6, 6, 10, 10, 2, 10, 1, 1, 10, 2, 1, 10, 6, 1, 2, 10, 1, 2, 1, 10, 1, 1, 10, 2, 6, 10, 1, 5, 2, 2, 2, 10, 6, 2, 9, 2, 2, 1, 6, 1, 4, 6, 1, 1, 1, 1, 6, 1, 1, 10, 10, 2, 6, 1, 6, 1, 6, 2, 1, 6, 2, 6, 6, 5, 6, 6, 10, 10, 10, 6, 2, 10, 6, 1, 6, 2, 2, 10, 6, 10, 2, 10, 9, 6, 6, 6, 2, 1, 6, 4, 2, 1, 10, 10, 6, 10, 1, 6, 4, 2, 6, 6, 10, 10, 2, 2, 6, 1, 10, 6, 6, 1, 2, 2, 2, 10, 2, 1, 1, 2, 1, 0, 6, 1, 10, 10, 10, 1, 2, 6, 1, 6, 1, 10, 10, 10, 1, 10, 1, 10, 6, 10, 9, 1, 10, 6, 2, 10, 1, 6, 6, 1, 2, 4, 1, 2, 1, 10, 10, 1, 10, 6, 1, 6, 6, 2, 6, 1, 6, 6, 10, 10, 10, 10, 6, 6, 1, 1, 1, 6, 10, 1, 1, 1, 1, 6, 2, 6, 6, 1, 1, 1, 1, 6, 10, 10, 1, 6, 1, 6, 6, 1, 10, 10, 10, 6, 6, 10, 10, 2, 10, 10, 10, 10, 10, 2, 6, 6, 1, 10, 1, 6, 1, 2, 1, 2, 6, 1, 2, 6, 2, 1, 6, 6, 2, 2, 2, 10, 2, 2, 5, 10, 10, 1, 6, 2, 10, 1, 6, 1, 1, 1, 1, 10, 6, 10, 10, 6, 10, 1, 1, 10, 1, 10, 6, 1, 10, 2, 6, 1, 1, 6, 1, 9, 6, 2, 1, 2, 1, 2, 0, 2, 6, 2, 2, 10, 10, 6, 2, 10, 6, 6, 6, 2, 1, 2, 6, 10, 1, 1, 2, 6, 6, 1, 10, 6, 1, 2, 6, 10, 10, 6, 1, 2, 2, 10, 10, 1, 10, 2, 2, 6, 10, 2, 10, 1, 2, 10, 2, 40, 6, 2, 1, 10, 6, 1, 1, 6, 1, 6, 1, 6, 2, 10, 6, 4, 1, 1, 1, 10, 6, 6, 6, 2, 2, 10, 1, 10, 6, 2, 10, 2, 10, 6, 2, 10, 1, 2, 6, 6, 1, 1, 1, 1, 1, 10, 1, 1, 6, 10, 10, 1, 1, 1, 6, 2, 50, 10, 2, 10, 6, 2, 6, 1, 1, 2, 1, 10, 2, 6, 1, 1, 2, 1, 10, 10, 6, 2, 4, 6, 2, 2, 2, 2, 2, 10, 10, 10, 2, 2, 1, 10, 10, 1, 6, 1, 10, 10, 10, 2, 2, 10, 6, 2, 2, 2, 10, 6, 2, 1, 10, 2, 6, 10, 10, 1, 10, 2, 1, 10, 2, 1, 10, 10, 1, 2, 6, 10, 1, 6, 2, 10, 10, 2, 3, 6, 1, 5, 6, 10, 1, 1, 10, 6, 10, 2, 10, 2, 10, 10, 10, 6, 6, 2, 9, 1, 6, 2, 10, 6, 1, 6, 0, 10, 1, 1, 2, 1, 10, 6, 6, 6, 10, 1, 6, 6, 6, 6, 6, 6, 6, 1, 1, 2, 2, 2, 6, 1, 6, 2, 6, 2, 6, 1, 10, 2, 10, 1, 10, 1, 1, 10, 2, 1, 10, 6, 2, 2, 2, 6, 10, 6, 10, 1, 6, 2, 10, 1, 2, 1, 1, 2, 10, 6, 6, 10, 6, 2, 6, 2, 6, 10, 2, 1, 1, 6, 10, 1, 1, 2, 2, 10, 6, 2, 6, 6, 10, 10, 6, 10, 10, 6, 1, 1, 10, 6, 2, 6, 2, 2, 2, 10, 10, 1, 6, 1, 2, 1, 2, 2, 6, 1, 2, 6, 6, 0, 6, 10, 2, 2, 6, 10, 6, 6, 6, 4, 6, 1, 4, 10, 1, 10, 10, 1, 6, 6, 6, 1, 10, 10, 1, 2, 6, 2, 6, 6, 2, 1, 6, 1, 2, 10, 10, 2, 6, 1, 6, 6, 2, 2, 2, 10, 2, 1, 1, 10, 1, 1, 1, 10, 1, 6, 1, 10, 10, 1, 10, 1, 10, 10, 5, 10, 1, 10, 10, 10, 6, 2, 6, 10, 6, 6, 1, 1, 10, 10, 10, 6, 6, 6, 1, 1, 2, 2, 6, 2, 6, 10, 5, 1, 1, 1, 6, 6, 6, 10, 1, 10, 2, 1, 1, 2, 10, 6, 2, 10, 1, 6, 1, 2, 6, 6, 9, 2, 2, 6, 1, 6, 1, 10, 1, 2, 6, 6, 10, 5, 2, 2, 6, 6, 2, 2, 1, 1, 2, 6, 2, 1, 1, 1, 10, 10, 6, 6, 6, 1, 6, 6, 1, 6, 1, 6, 1, 10, 10, 6, 2, 6, 10, 9, 2, 6, 6, 10, 10, 6, 1, 2, 6, 1, 2, 1, 1, 6, 1, 2, 1, 6, 1, 1, 1, 1, 10, 10, 2, 10, 10, 9, 1, 1, 10, 6, 2, 1, 6, 2, 10, 1, 1, 6, 2, 2, 1, 6, 10, 10, 2, 6, 6, 10, 6, 10, 1, 1, 10, 6, 2, 6, 10, 10, 6, 2, 10, 40, 4, 6, 6, 9, 2, 1, 2, 6, 1, 2, 2, 6, 5, 2, 1, 6, 6, 2, 1, 2, 2, 1, 1, 10, 10, 1, 1, 1, 6, 10, 2, 1, 2, 2, 6, 10, 1, 6, 1, 10, 1, 1, 2, 1, 10, 6, 6, 10, 2, 10, 1, 2, 10, 4, 6, 6, 1, 6, 6, 1, 10, 6, 6, 1, 2, 10, 5, 9, 10, 1, 10, 10, 1, 6, 6, 10, 6, 2, 2, 6, 2, 1, 10, 4, 10, 2, 6, 6, 1, 2, 2, 10, 2, 6, 4, 6, 10, 10, 10, 2, 1, 6, 2, 10, 9, 2, 1, 2, 10, 1, 1, 1, 1, 1, 0, 2, 0, 6, 1, 1, 2, 2, 1, 2, 0, 6, 10, 10, 10, 5, 6, 1, 2, 6, 6, 1, 2, 1, 6, 6, 6, 2, 2, 2, 10, 10, 1, 6, 2, 0, 1, 10, 2, 1, 4, 6, 2, 1, 6, 2, 1, 2, 2, 2, 10, 1, 1, 6, 1, 2, 2, 6, 10, 10, 1, 1, 10, 2, 2, 2, 10, 10, 10, 2, 6, 6, 2, 2, 2, 2, 6, 2, 1, 6, 10, 1, 1, 10, 6, 10, 6, 1, 10, 10, 10, 6, 2, 2, 6, 1, 6, 1, 2, 2, 10, 2, 6, 6, 2, 6, 10, 1, 6, 5, 1, 1, 10, 6, 6, 2, 1, 10, 10, 5, 2, 1, 10, 1, 10, 6, 10, 10, 6, 6, 10, 6, 2, 10, 2, 6, 10, 10, 1, 4, 2, 6, 2, 1, 5, 6, 2, 10, 1, 6, 10, 6, 10, 2, 10, 6, 10, 6, 1, 6, 10, 2, 2, 6, 6, 1, 1, 2, 1, 0, 1, 10, 9, 1, 2, 1, 12, 10, 10, 6, 6, 6, 10, 6, 1, 6, 6, 10, 1, 0, 10, 2, 1, 1, 10, 1, 2, 6, 1, 10, 1, 6, 6, 2, 2, 1, 6, 1, 10, 10, 6, 6, 10, 1, 1, 2, 2, 2, 10, 5, 6, 10, 6, 10, 1, 1, 6, 2, 2, 1, 2, 1, 6, 1, 1, 10, 1, 6, 1, 0, 1, 1, 4, 2, 6, 10, 10, 2, 2, 10, 1, 2, 2, 2, 2, 10, 6, 2, 6, 2, 2, 1, 6, 1, 1, 2, 1, 10, 2, 40, 2, 2, 1, 2, 6, 2, 10, 6, 6, 10, 10, 1, 2, 1, 6, 1, 1, 6, 6, 6, 10, 0, 6, 2, 2, 10, 2, 10, 1, 1, 1, 2, 10, 6, 2, 1, 4, 10, 1, 1, 1, 1, 2, 1, 2, 10, 1, 1, 6, 0, 10, 10, 10, 2, 1, 1, 2, 2, 6, 6, 10, 2, 2, 1, 6, 2, 2, 10, 6, 1, 6, 6, 2, 2, 2, 2, 6, 2, 6, 1, 2, 2, 6, 2, 10, 2, 1, 10, 2, 10, 1, 1, 10, 10, 10, 1, 10, 10, 6, 6, 2, 10, 1, 1, 6, 10, 6, 6, 1, 2, 6, 6, 2, 1, 9, 1, 2, 6, 1, 6, 6, 6, 6, 1, 2, 1, 10, 10, 2, 2, 6, 2, 10, 6, 6, 10, 2, 6, 10, 6, 2, 6, 6, 1, 2, 1, 6, 10, 1, 2, 2, 10, 6, 10, 1, 2, 10, 1, 1, 1, 2, 4, 10, 6, 2, 1, 2, 6, 6, 1, 6, 10, 10, 2, 6, 6, 5, 0, 6, 8, 6, 6, 2, 10, 0, 10, 6, 10, 6, 10, 6, 0, 1, 6, 1, 6, 10, 0, 2, 1, 2, 6, 6, 2, 10, 1, 2, 1, 9, 1, 1, 2, 1, 1, 10, 10, 10, 6, 6, 1, 2, 10, 10, 2, 1, 2, 1, 6, 10, 10, 10, 6, 1, 1, 1, 2, 6, 6, 10, 6, 2, 1, 1, 6, 10, 1, 10, 1, 10, 10, 10, 6, 10, 2, 10, 4, 10, 1, 1, 2, 10, 2, 6, 6, 10, 1, 10, 6, 6, 10, 10, 10, 2, 6, 1, 2, 1, 6, 2, 6, 6, 6, 10, 6, 2, 2, 2, 10, 1, 2, 2, 10, 1, 10, 6, 10, 1, 2, 1, 10, 10, 2, 2, 10, 2, 2, 6, 1, 10, 9, 6, 2, 1, 1, 10, 6, 6, 2, 10, 1, 1, 2, 10, 6, 2, 1, 2, 2, 2, 2, 6, 1, 2, 1, 10, 6, 60, 6, 10, 1, 2, 10, 1, 6, 6, 6, 6, 2, 6, 6, 6, 1, 2, 2, 10, 6, 2, 10, 10, 2, 10, 2, 10, 6, 6, 10, 6, 2, 6, 2, 2, 1, 6, 10, 2, 6, 2, 2, 2, 1, 10, 1, 1, 1, 10, 1, 2, 1, 1, 6, 10, 6, 1, 1, 1, 1, 6, 10, 10, 2, 2, 1, 1, 1, 2, 1, 6, 2, 1, 1, 6, 10, 1, 1, 2, 10, 6, 10, 2, 1, 1, 2, 2, 10, 6, 6, 10, 2, 2, 1, 1, 2, 1, 6, 6, 10, 1, 1, 2, 1, 2, 1, 10, 1, 6, 1, 6, 60, 10, 2, 1, 1, 6, 1, 1, 1, 6, 10, 6, 2, 1, 2, 6, 1, 10, 1, 2, 2, 6, 1, 6, 2, 10, 6, 10, 2, 10, 6, 2, 1, 2, 6, 2, 1, 2, 6, 10, 6, 2, 1, 0, 1, 1, 1, 2, 10, 1, 1, 1, 6, 6, 6, 10, 1, 6, 2, 1, 1, 10, 6, 10, 10, 10, 6, 10, 10, 2, 1, 10, 2, 1, 1, 1, 2, 6, 10, 10, 6, 10, 2, 2, 1, 10, 10, 2, 10, 1, 2, 1, 1, 10, 10, 6, 2, 6, 6, 2, 6, 2, 2, 1, 1, 1, 10, 10, 10, 10, 6, 10, 10, 6, 2, 2, 1, 1, 1, 2, 6, 2, 10, 1, 2, 2, 2, 1, 6, 10, 1, 1, 2, 1, 10, 10, 6, 6, 1, 1, 2, 1, 6, 10, 5, 10, 10, 1, 1, 6, 1, 6, 10, 2, 6, 6, 9, 1, 1, 6, 1, 2, 10, 6, 2, 1, 10, 2, 2, 6, 6, 10, 6, 1, 10, 10, 2, 2, 10, 1, 1, 10, 6, 2, 6, 1, 1, 6, 10, 6, 10, 2, 2, 6, 1, 10, 6, 2, 10, 2, 2, 1, 2, 1, 10, 10, 6, 10, 4, 6, 6, 2, 10, 1, 10, 6, 2, 6, 6, 2, 2, 6, 2, 1, 10, 6, 2, 1, 10, 6, 4, 10, 6, 10, 2, 10, 2, 2, 1, 2, 6, 10, 6, 1, 10, 2, 1, 1, 1, 2, 10, 6, 6, 6, 10, 10, 1, 6, 10, 10, 1, 1, 1, 2, 6, 10, 10, 10, 1, 2, 6, 6, 6, 2, 2, 2, 2, 2, 6, 1, 1, 4, 6, 2, 6, 1, 2, 1, 10, 1, 10, 6, 2, 2, 6, 1, 6, 10, 6, 1, 6, 6, 6, 2, 1, 10, 6, 1, 2, 1, 10, 50, 2, 10, 10, 2, 10, 2, 6, 6, 1, 1, 10, 10, 1, 2, 1, 2, 6, 3, 1, 2, 2, 2, 6, 6, 10, 6, 2, 6, 10, 1, 2, 2, 6, 6, 4, 2, 6, 10, 1, 2, 2, 10, 2, 2, 10, 1, 2, 6, 2, 1, 1, 6, 1, 6, 2, 2, 6, 10, 9, 90, 6, 10, 10, 10, 6, 2, 10, 6, 2, 10, 6, 10, 10, 1, 1, 10, 10, 1, 1, 1, 10, 1, 1, 10, 2, 2, 1, 1, 1, 2, 10, 6, 6, 1, 10, 10, 10, 0, 6, 10, 1, 10, 10, 1, 2, 10, 1, 6, 6, 2, 2, 2, 2, 1, 6, 1, 1, 10, 10, 2, 6, 6, 10, 6, 6, 4, 1, 6, 1, 10, 2, 2, 2, 1, 2, 10, 1, 2, 6, 10, 10, 1, 10, 2, 10, 6, 10, 6, 10, 6, 6, 2, 1, 6, 2, 8, 10, 1, 10, 2, 6, 1, 2, 4, 1, 6, 1, 2, 2, 10, 2, 6, 6, 10, 1, 2, 2, 2, 1, 2, 10, 2, 10, 10, 10, 10, 11, 10, 2, 1, 10, 1, 10, 6, 2, 1, 6, 1, 2, 2, 1, 1, 2, 10, 1, 6, 1, 1, 2, 2, 6, 6, 1, 6, 1, 6, 6, 1, 2, 2, 2, 2, 1, 10, 6, 6, 10, 6, 2, 6, 10, 2, 1, 10, 10, 2, 6, 2, 0, 2, 1, 10, 10, 6, 1, 6, 1, 1, 4, 6, 2, 10, 2, 1, 1, 1, 2, 1, 10, 2, 10, 6, 1, 10, 6, 2, 1, 1, 6, 2, 1, 1, 6, 1, 6, 1, 10, 6, 1, 1, 10, 6, 6, 10, 2, 4, 6, 1, 6, 1, 2, 10, 2, 10, 2, 1, 1, 2, 9, 10, 10, 1, 1, 6, 2, 1, 2, 2, 1, 1, 6, 1, 1, 1, 2, 6, 2, 6, 2, 2, 1, 1, 1, 1, 2, 2, 10, 1, 6, 5, 2, 2, 10, 1, 10, 2, 10, 2, 6, 1, 10, 10, 1, 6, 6, 1, 2, 1, 6, 6, 10, 6, 2, 10, 2, 6, 10, 2, 5, 2, 1, 1, 10, 1, 2, 2, 6, 6, 6, 6, 6, 6, 1, 6, 10, 5, 1, 10, 10, 2, 1, 6, 6, 0, 6, 10, 6, 2, 10, 6, 6, 1, 5, 2, 1, 1, 1, 1, 1, 10, 1, 1, 10, 2, 1, 1, 1, 10, 10, 1, 10, 2, 2, 6, 10, 6, 1, 10, 1, 10, 10, 2, 6, 9, 1, 10, 6, 6, 6, 10, 10, 1, 10, 1, 6, 2, 6, 2, 10, 1, 6, 6, 6, 2, 10, 6, 6, 2, 1, 10, 1, 2, 10, 1, 1, 1, 1, 6, 1, 1, 1, 6, 4, 10, 1, 10, 2, 10, 2, 10, 1, 10, 10, 6, 2, 10, 2, 1, 1, 1, 10, 2, 6, 2, 2, 2, 6, 2, 6, 10, 2, 1, 1, 10, 4, 1, 2, 1, 1, 1, 2, 2, 6, 1, 1, 6, 2, 2, 6, 4, 2, 1, 2, 6, 2, 1, 6, 6, 6, 6, 2, 1, 10, 2, 6, 0, 1, 6, 1, 10, 6, 10, 1, 6, 2, 6, 6, 0, 2, 2, 2, 1, 1, 6, 6, 2, 6, 10, 2, 2, 1, 6, 1, 6, 1, 2, 2, 1, 1, 1, 10, 6, 10, 10, 2, 6, 2, 1, 10, 6, 6, 10, 2, 2, 2, 2, 2, 10, 1, 6, 6, 2, 1, 10, 2, 10, 10, 6, 10, 10, 6, 6, 2, 2, 10, 2, 1, 10, 2, 1, 10, 2, 10, 10, 10, 6, 1, 6, 10, 1, 1, 10, 10, 2, 10, 2, 6, 10, 6, 1, 6, 2, 2, 6, 2, 1, 2, 1, 2, 6, 2, 2, 10, 10, 1, 10, 10, 6, 2, 6, 10, 1, 10, 1, 2, 10, 1, 1, 6, 6, 2, 2, 0, 2, 6, 2, 6, 10, 6, 6, 2, 10, 1, 1, 6, 6, 10, 5, 10, 2, 6, 10, 10, 2, 2, 2, 10, 1, 2, 6, 2, 1, 2, 9, 9, 10, 1, 1, 2, 1, 1, 10, 2, 6, 1, 10, 2, 6, 2, 10, 1, 2, 2, 4, 1, 10, 1, 2, 1, 10, 1, 1, 1, 1, 10, 2, 1, 1, 6, 2, 2, 6, 1, 10, 6, 2, 2, 2, 9, 10, 6, 1, 10, 2, 2, 10, 2, 10, 1, 2, 10, 6, 10, 5, 10, 6, 10, 1, 1, 1, 10, 1, 6, 1, 10, 2, 10, 1, 10, 10, 2, 1, 6, 1, 2, 10, 1, 6, 2, 2, 10, 10, 10, 6, 1, 6, 2, 0, 6, 10, 6, 1, 2, 2, 1, 1, 4, 0, 2, 1, 1, 1, 1, 6, 6, 6, 1, 6, 6, 6, 1, 2, 1, 2, 2, 6, 2, 1, 6, 10, 2, 10, 6, 6, 6, 1, 2, 1, 10, 6, 6, 4, 2, 2, 1, 2, 2, 1, 10, 2, 1, 10, 2, 2, 6, 9, 2, 10, 2, 1, 2, 2, 0, 10, 6, 1, 6, 2, 2, 1, 6, 2, 1, 10, 10, 10, 10, 1, 2, 2, 1, 1, 1, 2, 6, 1, 6, 6, 1, 2, 9, 10, 6, 10, 6, 2, 10, 2, 1, 6, 2, 6, 1, 1, 2, 2, 10, 2, 2, 1, 2, 10, 10, 1, 10, 2, 2, 10, 1, 2, 1, 10, 1, 2, 2, 2, 10, 6, 1, 1, 0, 8, 10, 10, 2, 2, 10, 10, 6, 2, 10, 1, 6, 1, 10, 6, 6, 6, 10, 10, 10, 10, 10, 6, 1, 10, 10, 10, 10, 1, 1, 1, 10, 1, 6, 1, 1, 2, 2, 10, 2, 1, 10, 1, 6, 1, 2, 1, 10, 10, 10, 10, 10, 10, 1, 6, 2, 1, 2, 6, 1, 6, 1, 1, 6, 5, 2, 1, 10, 1, 6, 2, 10, 2, 2, 1, 10, 2, 10, 1, 2, 10, 1, 1, 2, 10, 1, 6, 6, 10, 6, 10, 1, 1, 6, 2, 2, 6, 6, 5, 2, 1, 10, 6, 6, 5, 10, 2, 10, 6, 1, 10, 1, 2, 1, 6, 10, 10, 1, 2, 6, 10, 6, 1, 6, 6, 10, 1, 6, 6, 6, 1, 6, 2, 6, 2, 6, 2, 2, 10, 10, 1, 1, 6, 10, 2, 10, 1, 1, 2, 6, 6, 6, 2, 6, 2, 2, 2, 1, 10, 6, 6, 1, 9, 6, 10, 1, 2, 6, 6, 10, 2, 1, 2, 6, 2, 1, 1, 2, 1, 0, 10, 6, 6, 10, 1, 2, 2, 1, 6, 2, 6, 10, 2, 2, 2, 10, 6, 10, 1, 6, 6, 10, 2, 10, 10, 1, 2, 2, 10, 6, 6, 6, 2, 10, 6, 2, 10, 6, 10, 1, 1, 6, 6, 6, 10, 1, 1, 2, 1, 6, 1, 1, 2, 6, 6, 1, 1, 1, 2, 1, 1, 10, 5, 1, 6, 2, 10, 10, 10, 10, 10, 10, 10, 1, 2, 10, 1, 10, 1, 2, 6, 10, 2, 10, 1, 10, 1, 1, 1, 1, 6, 6, 10, 6, 6, 6, 10, 6, 2, 1, 1, 2, 2, 10, 2, 6, 10, 6, 10, 9, 1, 10, 10, 6, 1, 10, 6, 10, 10, 10, 2, 1, 6, 2, 10, 1, 6, 6, 1, 2, 1, 2, 2, 6, 10, 1, 10, 6, 1, 6, 1, 10, 6, 1, 10, 1, 10, 6, 2, 2, 2, 1, 2, 2, 10, 6, 6, 10, 6, 6, 1, 1, 10, 6, 2, 1, 6, 2, 6, 10, 1, 1, 10, 1, 2, 2, 10, 6, 2, 1, 10, 1, 0, 10, 6, 10, 1, 6, 10, 2, 6, 10, 1, 6, 10, 6, 6, 2, 6, 1, 6, 2, 6, 4, 1, 6, 1, 2, 1, 6, 2, 5, 10, 1, 2, 10, 10, 2, 6, 6, 0, 10, 2, 1, 1, 6, 2, 1, 1, 6, 6, 6, 1, 10, 2, 10, 10, 10, 2, 1, 10, 1, 1, 1, 6, 2, 1, 2, 1, 1, 2, 2, 6, 1, 2, 6, 2, 6, 10, 1, 6, 1, 6, 1, 1, 6, 10, 10, 1, 10, 10, 1, 6, 2, 6, 2, 10, 4, 2, 1, 10, 10, 6, 2, 1, 1, 1, 1, 10, 1, 2, 6, 1, 6, 10, 6, 1, 10, 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10, 2, 5, 10, 6, 6, 2, 1, 10, 10, 2, 1, 1, 6, 2, 1, 6, 9, 10, 1, 10, 2, 1, 2, 10, 6, 10, 1, 2, 2, 2, 10, 10, 6, 2, 2, 6, 10, 2, 10, 2, 6, 1, 6, 2, 2, 10, 1, 6, 6, 1, 2, 2, 10, 1, 10, 4, 0, 2, 2, 6, 6, 2, 10, 6, 2, 1, 10, 6, 6, 6, 1, 2, 10, 1, 2, 2, 6, 2, 10, 2, 1, 2, 2, 2, 6, 10, 2, 6, 10, 10, 10, 6, 1, 10, 10, 9, 6, 2, 6, 2, 2, 2, 1, 6, 10, 2, 6, 1, 1, 6, 10, 1, 10, 2, 2, 1, 6, 2, 1, 10, 1, 1, 10, 10, 2, 10, 6, 2, 2, 1, 10, 6, 2, 10, 6, 6, 6, 2, 1, 6, 2, 10, 10, 6, 6, 10, 1, 10, 2, 6, 6, 1, 1, 6, 6, 1, 6, 6, 2, 2, 1, 6, 2, 10, 2, 1, 6, 5, 1, 10, 2, 6, 5, 10, 6, 10, 10, 2, 6, 2, 10, 4, 6, 6, 10, 4, 2, 1, 1, 10, 9, 1, 10, 1, 10, 10, 10, 10, 6, 10, 2, 10, 10, 1, 1, 2, 6, 2, 10, 6, 1, 10, 10, 10, 1, 2, 10, 2, 9, 10, 1, 1, 2, 1, 2, 9, 1, 10, 6, 10, 1, 6, 10, 2, 1, 10, 1, 1, 1, 10, 1, 2, 2, 10, 6, 1, 1, 10, 1, 4, 1, 10, 1, 4, 10, 5, 2, 2, 6, 1, 2, 1, 6, 10, 10, 6, 10, 1, 2, 2, 2, 2, 2, 1, 1, 10, 2, 1, 2, 10, 10, 10, 2, 6, 10, 2, 1, 2, 2, 6, 2, 1, 10, 6, 10, 1, 2, 10, 6, 10, 6, 6, 1, 6, 1, 6, 2, 2, 6, 6, 2, 6, 2, 10, 6, 1, 6, 10, 10, 2, 1, 2, 10, 10, 10, 1, 10, 2, 10, 6, 2, 6, 1, 1, 2, 10, 6, 1, 2, 2, 1, 1, 1, 1, 4, 6, 6, 10, 6, 1, 6, 10, 9, 1, 1, 10, 2, 10, 1, 6, 6, 1, 10, 10, 1, 1, 1, 1, 2, 10, 6, 1, 10, 2, 1, 10, 10, 10, 2, 1, 1, 2, 10, 2, 2, 1, 2, 10, 2, 2, 10, 1, 6, 10, 2, 10, 2, 6, 4, 10, 1, 2, 1, 6, 6, 10, 6, 2, 6, 6, 10, 10, 6, 2, 10, 1, 6, 0, 10, 2, 1, 5, 2, 6, 2, 10, 6, 6, 1, 2, 10, 1, 2, 10, 6, 1, 1, 1, 1, 1, 1, 10, 2, 10, 6, 1, 1, 1, 10, 1, 6, 10, 1, 6, 6, 6, 1, 1, 2, 6, 0, 1, 6, 6, 1, 1, 6, 10, 10, 2, 10, 2, 6, 6, 1, 1, 10, 10, 6, 6, 10, 6, 1, 2, 6, 10, 10, 10, 2, 6, 1, 6, 6, 6, 1, 2, 2, 2, 10, 1, 6, 4, 6, 10, 1, 10, 6, 1, 2, 1, 6, 9, 0, 6, 2, 6, 2, 2, 1, 1, 1, 10, 10, 2, 6, 1, 1, 1, 6, 1, 1, 1, 1, 10, 6, 10, 2, 10, 10, 2, 1, 6, 10, 6, 60, 2, 6, 10, 1, 10, 6, 1, 2, 10, 10, 6, 6, 10, 1, 10, 1, 1, 2, 6, 6, 1, 10, 0, 2, 10, 6, 2, 10, 6, 10, 10, 6, 10, 6, 2, 2, 10, 6, 1, 10, 10, 2, 6, 2, 1, 6, 1, 6, 6, 6, 6, 10, 10, 4, 10, 6, 1, 1, 10, 10, 6, 6, 10, 1, 0, 4, 2, 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9, 10, 6, 6, 2, 1, 2, 6, 2, 1, 1, 10, 6, 9, 10, 2, 10, 2, 1, 10, 2, 2, 6, 1, 2, 1, 2, 6, 6, 1, 10, 1, 10, 2, 10, 9, 1, 6, 1, 1, 6, 1, 2, 6, 6, 6, 2, 2, 1, 1, 10, 1, 1, 6, 6, 2, 10, 2, 1, 1, 6, 5, 10, 10, 1, 10, 1, 1, 1, 6, 2, 1, 2, 2, 6, 2, 10, 1, 6, 2, 6, 2, 1, 1, 2, 6, 1, 2, 6, 6, 1, 1, 6, 10, 6, 2, 1, 1, 6, 10, 6, 10, 1, 1, 2, 2, 5, 10, 1, 2, 6, 10, 6, 6, 10, 1, 10, 2, 2, 2, 1, 4, 10, 6, 10, 6, 1, 2, 2, 10, 0, 10, 1, 6, 2, 6, 1, 2, 1, 2, 1, 6, 6, 1, 1, 2, 6, 2, 2, 5, 6, 2, 2, 10, 1, 1, 6, 1, 2, 2, 1, 2, 1, 2, 2, 6, 9, 6, 2, 10, 6, 2, 1, 6, 1, 2, 1, 2, 2, 6, 6, 6, 6, 1, 10, 10, 2, 1, 6, 1, 2, 1, 10, 6, 2, 2, 6, 2, 6, 1, 10, 1, 2, 6, 6, 10, 6, 6, 1, 0, 2, 2, 6, 2, 2, 2, 2, 2, 1, 10, 6, 6, 1, 1, 1, 2, 1, 10, 6, 6, 1, 10, 2, 2, 2, 2, 1, 6, 10, 6, 6, 1, 10, 6, 6, 2, 6, 6, 10, 10, 6, 1, 1, 10, 1, 6, 2, 2, 10, 6, 1, 1, 1, 10, 2, 6, 6, 6, 2, 2, 10, 1, 10, 10, 6, 6, 2, 2, 10, 2, 6, 6, 2, 2, 10, 10, 6, 2, 2, 2, 2, 2, 6, 6, 2, 10, 2, 2, 1, 1, 2, 6, 2, 2, 6, 10, 1, 6, 6, 2, 6, 10, 6, 2, 10, 10, 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6, 10, 6, 10, 6, 10, 10, 2, 10, 1, 10, 10, 2, 2, 1, 10, 6, 6, 10, 1, 6, 2, 10, 1, 1, 2, 6, 1, 2, 1, 1, 2, 10, 2, 2, 6, 2, 1, 1, 10, 2, 10, 1, 2, 1, 10, 2, 10, 2, 6, 2, 6, 10, 1, 2, 6, 10, 2, 4, 1, 2, 10, 10, 10, 1, 10, 1, 2, 6, 10, 10, 2, 1, 1, 1, 10, 6, 1, 2, 1, 2, 1, 10, 10, 6, 2, 2, 10, 6, 6, 2, 2, 6, 1, 2, 6, 1, 9, 10, 6, 6, 10, 1, 6, 9, 1, 10, 1, 6, 6, 1, 1, 2, 10, 1, 2, 6, 6, 10, 6, 10, 10, 1, 1, 2, 1, 6, 1, 2, 2, 1, 10, 10, 2, 10, 10, 10, 6, 10, 2, 1, 10, 6, 1, 10, 2, 2, 6, 2, 10, 10, 5, 9, 6, 9, 2, 1, 2, 10, 1, 10, 6, 2, 1, 10, 1, 2, 10, 1, 10, 6, 1, 1, 10, 10, 6, 2, 10, 1, 10, 6, 10, 10, 1, 2, 10, 10, 10, 1, 6, 2, 10, 1, 10, 1, 1, 1, 6, 6, 6, 2, 10, 1, 1, 6, 6, 10, 10, 1, 10, 10, 2, 2, 1, 2, 10, 6, 2, 10, 10, 6, 6, 2, 6, 6, 2, 6, 10, 10, 1, 1, 1, 6, 1, 1, 1, 2, 6, 1, 2, 10, 10, 6, 1, 10, 6, 6, 10, 1, 2, 10, 6, 6, 2, 1, 1, 1, 10, 1, 10, 1, 6, 10, 9, 10, 2, 2, 1, 1, 10, 1, 2, 10, 2, 2, 4, 10, 9, 2, 10, 6, 2, 10, 6, 6, 2, 1, 10, 6, 10, 6, 1, 1, 6, 6, 2, 10, 10, 1, 1, 10, 1, 1, 6, 10, 2, 10, 2, 1, 2, 1, 6, 10, 6, 0, 1, 6, 6, 10, 6, 10, 10, 10, 6, 10, 1, 6, 6, 1, 1, 10, 6, 8, 80, 1, 2, 2, 10, 6, 6, 1, 1, 6, 1, 1, 6, 6, 10, 10, 2, 2, 10, 6, 1, 10, 6, 1, 1, 10, 1, 2, 10, 2, 2, 1, 1, 2, 2, 10, 6, 1, 6, 6, 2, 6, 10, 1, 10, 10, 1, 1, 6, 6, 2, 6, 10, 6, 2, 6, 10, 1, 1, 1, 10, 10, 6, 1, 6, 1, 6, 2, 1, 6, 10, 1, 2, 6, 10, 1, 2, 1, 2, 10, 2, 2, 2, 10, 10, 4, 6, 6, 1, 1, 10, 10, 6, 2, 1, 6, 6, 9, 10, 2, 10, 2, 10, 2, 1, 1, 10, 2, 10, 9, 6, 6, 1, 10, 6, 10, 1, 6, 10, 2, 6, 10, 10, 2, 6, 2, 2, 10, 6, 0, 2, 6, 1, 2, 2, 6, 1, 10, 2, 0, 1, 2, 1, 6, 10, 2, 1, 2, 6, 10, 10, 2, 2, 1, 10, 2, 10, 1, 1, 10, 0, 2, 6, 6, 2, 6, 0, 2, 10, 6, 1, 2, 6, 1, 2, 10, 6, 1, 10, 6, 1, 6, 10, 2, 1, 1, 2, 1, 6, 1, 6, 6, 10, 1, 10, 10, 6, 6, 6, 60, 2, 6, 2, 6, 2, 10, 6, 1, 1, 2, 1, 10, 1, 1, 2, 1, 10, 1, 10, 1, 1, 6, 1, 1, 2, 1, 6, 2, 10, 6, 2, 6, 10, 6, 6, 6, 2, 10, 1, 10, 10, 1, 6, 2, 1, 1, 2, 10, 10, 2, 2, 6, 2, 10, 10, 10, 2, 10, 6, 10, 10, 1, 2, 1, 1, 10, 1, 10, 1, 1, 1, 10, 1, 6, 10, 1, 2, 10, 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10, 6, 10, 1, 10, 6, 0, 1, 6, 5, 10, 6, 6, 1, 1, 6, 2, 2, 1, 2, 10, 10, 2, 1, 2, 1, 10, 6, 10, 6, 10, 2, 1, 10, 6, 1, 2, 6, 2, 2, 10, 10, 6, 2, 1, 2, 1, 4, 1, 1, 1, 2, 1, 2, 2, 1, 1, 10, 1, 1, 10, 2, 1, 6, 1, 6, 4, 6, 6, 10, 6, 10, 10, 10, 1, 1, 10, 2, 2, 2, 10, 2, 6, 1, 1, 2, 2, 10, 10, 6, 2, 2, 10, 10, 2, 2, 6, 10, 1, 10, 0, 6, 6, 2, 2, 1, 2, 2, 1, 1, 2, 2, 9, 6, 1, 6, 2, 1, 2, 1, 6, 10, 2, 6, 10, 6, 6, 1, 10, 10, 10, 10, 1, 1, 10, 2, 1, 1, 10, 1, 6, 10, 2, 10, 10, 10, 1, 1, 1, 6, 1, 10, 1, 6, 2, 6, 4, 2, 2, 6, 6, 6, 10, 10, 1, 2, 2, 6, 2, 2, 6, 10, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 10, 6, 6, 6, 10, 1, 6, 10, 10, 1, 2, 2, 6, 1, 10, 5, 10, 1, 2, 2, 1, 1, 10, 2, 6, 6, 6, 2, 1, 1, 1, 9, 10, 10, 10, 10, 10, 6, 1, 6, 10, 1, 1, 10, 10, 6, 10, 6, 2, 1, 1, 6, 10, 1, 6, 6, 6, 6, 6, 2, 10, 10, 4, 6, 1, 2, 10, 6, 10, 1, 1, 10, 2, 6, 1, 6, 2, 6, 10, 10, 10, 1, 6, 2, 1, 6, 6, 6, 1, 6, 1, 1, 2, 2, 2, 1, 1, 6, 0, 10, 6, 10, 10, 2, 6, 2, 2, 10, 2, 2, 10, 1, 6, 1, 6, 1, 1, 1, 1, 10, 10, 10, 1, 2, 1, 5, 6, 1, 1, 2, 2, 6, 2, 2, 1, 10, 2, 6, 1, 2, 1, 2, 2, 2, 1, 2, 1, 6, 6, 10, 1, 2, 1, 6, 10, 6, 6, 6, 10, 1, 2, 6, 1, 10, 1, 6, 6, 10, 10, 9, 1, 1, 1, 5, 10, 1, 1, 2, 6, 1, 10, 6, 10, 2, 6, 1, 6, 6, 1, 1, 2, 10, 10, 6, 2, 6, 6, 1, 10, 10, 10, 10, 1, 1, 6, 6, 2, 1, 10, 6, 2, 10, 0, 6, 1, 2, 1, 6, 6, 2, 2, 10, 1, 10, 6, 1, 1, 10, 1, 1, 1, 1, 2, 1, 6, 4, 10, 10, 2, 6, 6, 6, 6, 2, 2, 9, 9, 2, 2, 2, 2, 1, 1, 2, 6, 10, 2, 10, 10, 1, 2, 6, 5, 10, 1, 1, 1, 10, 2, 10, 1, 10, 10, 6, 1, 6, 2, 1, 1, 2, 1, 1, 1, 10, 1, 6, 6, 10, 2, 10, 2, 1, 10, 10, 2, 1, 6, 1, 1, 10, 6, 1, 2, 1, 1, 0, 2, 10, 10, 10, 2, 6, 2, 2, 6, 10, 2, 2, 2, 2, 6, 2, 6, 5, 6, 1, 2, 2, 6, 6, 1, 1, 10, 6, 2, 2, 10, 1, 10, 6, 2, 1, 6, 10, 1, 6, 10, 6, 2, 1, 1, 10, 10, 6, 6, 1, 10, 10, 6, 6, 6, 2, 6, 2, 6, 2, 1, 6, 6, 6, 1, 10, 2, 1, 4, 6, 2, 6, 10, 1, 6, 10, 1, 1, 6, 6, 6, 10, 6, 6, 10, 0, 6, 1, 2, 2, 6, 6, 2, 1, 10, 10, 10, 6, 1, 10, 1, 10, 10, 2, 10, 2, 1, 1, 2, 10, 6, 1, 2, 1, 2, 1, 10, 1, 1, 5, 6, 10, 6, 2, 6, 10, 6, 2, 6, 1, 10, 2, 10, 6, 6, 10, 6, 10, 2, 1, 6, 2, 2, 2, 1, 10, 6, 10, 2, 2, 2, 2, 2, 10, 2, 6, 10, 1, 6, 2, 10, 2, 1, 2, 9, 2, 10, 1, 2, 10, 10, 10, 10, 2, 1, 2, 2, 2, 9, 2, 10, 1, 10, 1, 10, 2, 10, 6, 10, 10, 1, 6, 6, 1, 10, 1, 1, 10, 10, 1, 10, 6, 6, 5, 6, 2, 1, 2, 2, 0, 2, 10, 6, 2, 1, 2, 9, 1, 10, 2, 6, 10, 1, 1, 10, 10, 6, 6, 1, 10, 2, 6, 1, 10, 2, 10, 10, 6, 6, 6, 6, 10, 0, 10, 1, 1, 2, 2, 1, 2, 1, 1, 1, 10, 1, 2, 2, 2, 6, 2, 2, 2, 6, 10, 6, 1, 1, 6, 6, 2, 1, 2, 6, 6, 2, 6, 2, 6, 10, 6, 1, 10, 10, 2, 1, 1, 6, 6, 1, 2, 1, 10, 6, 2, 10, 1, 2, 2, 6, 6, 10, 10, 2, 2, 1, 1, 1, 1, 10, 10, 10, 5, 10, 2, 6, 10, 6, 10, 10, 6, 10, 6, 10, 1, 1, 6, 2, 1, 10, 6, 10, 1, 10, 1, 1, 6, 2, 2, 2, 2, 10, 1, 6, 6, 6, 2, 1, 10, 4, 4, 1, 6, 1, 3, 10, 1, 6, 1, 10, 1, 1, 2, 10, 6, 1, 2, 10, 10, 6, 6, 2, 2, 6, 2, 6, 6, 10, 10, 10, 6, 6, 6, 10, 6, 1, 10, 10, 10, 6, 6, 6, 4, 2, 10, 6, 10, 2, 2, 10, 10, 1, 2, 2, 6, 10, 10, 6, 6, 1, 1, 2, 6, 6, 1, 1, 6, 10, 6, 10, 1, 2, 1, 2, 1, 1, 6, 2, 1, 10, 10, 1, 6, 2, 10, 10, 10, 6, 2, 6, 2, 2, 6, 6, 1, 1, 2, 6, 1, 6, 2, 2, 6, 10, 1, 10, 6, 1, 10, 1, 2, 4, 6, 6, 2, 6, 2, 0, 6, 10, 6, 5, 10, 6, 6, 2, 9, 6, 2, 10, 6, 1, 1, 10, 2, 10, 10, 10, 1, 2, 1, 2, 2, 2, 2, 1, 2, 10, 6, 10, 6, 6, 6, 6, 10, 10, 6, 10, 6, 6, 1, 10, 10, 6, 6, 10, 10, 10, 10, 2, 6, 1, 1, 2, 1, 6, 2, 2, 2, 6, 2, 2, 10, 6, 1, 2, 1, 1, 1, 2, 10, 10, 6, 10, 1, 1, 10, 10, 6, 6, 6, 10, 6, 10, 1, 10, 1, 10, 10, 2, 2, 1, 6, 1, 10, 6, 10, 10, 1, 6, 6, 1, 10, 6, 10, 2, 6, 2, 0, 10, 6, 1, 10, 10, 2, 1, 2, 2, 2, 1, 10, 6, 6, 1, 6, 6, 10, 2, 1, 6, 1, 6, 2, 10, 2, 1, 10, 1, 2, 2, 10, 10, 10, 2, 1, 2, 6, 2, 6, 10, 5, 1, 6, 5, 6, 2, 10, 1, 1, 1, 2, 6, 6, 10, 10, 1, 10, 6, 10, 2, 10, 10, 1, 1, 1, 1, 2, 6, 6, 1, 1, 6, 1, 6, 1, 10, 2, 6, 2, 10, 6, 6, 2, 1, 6, 2, 1, 1, 1, 10, 0, 2, 6, 6, 6, 6, 1, 1, 2, 10, 6, 6, 2, 6, 2, 10, 2, 6, 10, 2, 10, 6, 6, 1, 1, 1, 10, 5, 2, 1, 6, 9, 1, 10, 6, 1, 1, 2, 10, 2, 10, 6, 1, 2, 1, 2, 10, 10, 2, 1, 10, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 6, 10, 6, 6, 1, 6, 10, 2, 6, 2, 2, 1, 3, 6, 2, 1, 10, 6, 6, 2, 1, 6, 1, 6, 10, 6, 2, 6, 2, 10, 2, 1, 10, 1, 6, 6, 6, 10, 1, 1, 10, 1, 10, 6, 1, 10, 1, 10, 2, 10, 6, 1, 10, 6, 6, 10, 2, 1, 10, 6, 2, 2, 10, 1, 1, 1, 1, 1, 6, 1, 1, 1, 2, 10, 1, 2, 1, 6, 6, 1, 2, 2, 1, 1, 1, 2, 1, 6, 2, 2, 2, 1, 10, 6, 1, 1, 2, 6, 2, 1, 10, 6, 1, 2, 10, 6, 6, 1, 2, 6, 10, 1, 2, 2, 6, 6, 6, 10, 10, 6, 1, 1, 2, 6, 10, 10, 10, 10, 1, 1, 10, 1, 2, 10, 6, 1, 1, 6, 1, 6, 2, 2, 6, 6, 1, 6, 2, 6, 1, 6, 6, 9, 1, 2, 6, 10, 6, 1, 6, 6, 2, 10, 1, 1, 2, 1, 1, 6, 2, 2, 6, 6, 1, 2, 10, 6, 10, 6, 1, 2, 2, 10, 2, 2, 1, 10, 10, 1, 2, 10, 6, 2, 2, 10, 1, 1, 10, 1, 2, 2, 0, 6, 1, 1, 1, 6, 6, 10, 10, 10, 6, 1, 10, 9, 1, 10, 2, 2, 10, 2, 1, 1, 6, 6, 6, 6, 4, 6, 1, 6, 10, 2, 6, 6, 2, 10, 10, 1, 1, 10, 2, 6, 1, 1, 10, 1, 6, 1, 9, 1, 1, 1, 1, 6, 10, 6, 6, 10, 2, 6, 2, 2, 2, 6, 6, 1, 1, 2, 1, 6, 6, 10, 10, 2, 2, 10, 2, 2, 1, 6, 1, 10, 2, 4, 10, 2, 6, 6, 1, 1, 10, 1, 1, 2, 2, 2, 1, 2, 2, 2, 6, 1, 2, 6, 1, 6, 2, 6, 1, 1, 6, 1, 10, 6, 10, 2, 2, 6, 2, 1, 10, 1, 2, 5, 2, 6, 10, 10, 1, 10, 2, 10, 1, 2, 1, 10, 9, 10, 2, 6, 1, 2, 10, 1, 2, 2, 1, 1, 1, 6, 10, 10, 10, 2, 10, 2, 10, 2, 0, 2, 6, 6, 10, 9, 2, 2, 10, 2, 2, 6, 1, 6, 2, 1, 10, 6, 2, 10, 2, 10, 6, 6, 6, 1, 10, 2, 10, 2, 10, 2, 1, 10, 6, 6, 10, 2, 2, 1, 1, 6, 1, 1, 6, 1, 2, 1, 1, 6, 1, 2, 2, 10, 10, 2, 1, 1, 6, 6, 1, 10, 2, 2, 10, 1, 10, 1, 2, 10, 10, 2, 6, 10, 2, 1, 6, 10, 1, 6, 6, 2, 1, 6, 2, 2, 1, 6, 10, 1, 6, 0, 2, 10, 6, 2, 10, 9, 2, 4, 10, 2, 6, 10, 1, 1, 1, 2, 6, 6, 2, 6, 6, 5, 3, 1, 6, 10, 6, 2, 1, 10, 1, 6, 2, 6, 1, 2, 10, 1, 6, 1, 6, 1, 2, 6, 10, 6, 10, 1, 1, 10, 2, 6, 10, 6, 6, 2, 2, 1, 6, 1, 1, 10, 2, 6, 6, 10, 1, 5, 6, 1, 6, 2, 6, 0, 2, 1, 10, 1, 2, 1, 1, 10, 1, 6, 6, 6, 2, 1, 6, 6, 1, 6, 1, 10, 1, 6, 1, 2, 6, 10, 2, 10, 2, 6, 2, 2, 1, 10, 2, 6, 10, 6, 6, 1, 10, 10, 1, 6, 10, 10, 10, 1, 6, 1, 6, 1, 6, 6, 2, 10, 1, 10, 6, 10, 2, 10, 6, 1, 2, 4, 10, 1, 1, 10, 6, 6, 10, 5, 10, 2, 1, 1, 10, 7, 2, 6, 1, 2, 1, 1, 10, 6, 1, 1, 1, 2, 0, 10, 1, 10, 10, 6, 1, 1, 2, 10, 6, 10, 6, 10, 6, 6, 10, 4, 1, 1, 1, 10, 10, 2, 10, 2, 6, 6, 2, 2, 2, 6, 10, 2, 10, 6, 1, 0, 1, 2, 10, 10, 6, 2, 2, 10, 10, 6, 5, 1, 10, 1, 10, 6, 2, 10, 1, 2, 2, 6, 2, 1, 2, 2, 10, 6, 0, 2, 10, 2, 10, 6, 2, 10, 6, 1, 10, 6, 6, 10, 10, 1, 1, 2, 1, 0, 10, 6, 6, 1, 6, 4, 1, 6, 6, 1, 10, 1, 10, 10, 1, 6, 6, 6, 4, 1, 6, 1, 1, 1, 1, 10, 1, 2, 1, 10, 6, 1, 10, 10, 2, 6, 2, 1, 6, 10, 2, 1, 10, 2, 2, 10, 10, 10, 2, 1, 10, 6, 1, 4, 1, 6, 6, 5, 9, 6, 2, 6, 2, 2, 6, 2, 2, 2, 6, 1, 2, 10, 10, 10, 1, 2, 1, 6, 1, 1, 6, 2, 1, 2, 1, 1, 10, 10, 6, 6, 2, 1, 2, 2, 1, 1, 1, 6, 1, 6, 10, 2, 1, 2, 2, 1, 6, 2, 6, 1, 2, 1, 1, 6, 6, 1, 2, 5, 10, 6, 6, 1, 2, 1, 6, 1, 2, 2, 2, 1, 10, 2, 2, 6, 1, 6, 1, 6, 6, 10, 9, 1, 1, 10, 10, 2, 2, 10, 10, 10, 10, 6, 2, 1, 6, 6, 1, 10, 2, 6, 6, 6, 1, 1, 2, 2, 10, 2, 2, 1, 2, 5, 2, 10, 6, 1, 1, 10, 10, 10, 10, 10, 6, 1, 10, 6, 10, 2, 2, 2, 1, 2, 6, 6, 6, 6, 1, 10, 2, 6, 6, 1, 1, 10, 10, 2, 2, 6, 2, 2, 2, 2, 6, 1, 6, 2, 1, 10, 1, 1, 1, 6, 10, 6, 2, 1, 10, 1, 1, 1, 1, 10, 2, 2, 10, 1, 10, 6, 10, 6, 6, 10, 2, 2, 2, 6, 6, 1, 2, 6, 2, 2, 6, 4, 6, 1, 2, 2, 1, 6, 1, 6, 2, 6, 4, 6, 1, 2, 6, 2, 10, 1, 10, 6, 2, 5, 1, 10, 2, 2, 10, 6, 10, 10, 10, 10, 1, 2, 10, 6, 1, 6, 1, 6, 2, 6, 2, 2, 10, 6, 1, 1, 1, 1, 6, 10, 2, 6, 9, 10, 1, 10, 6, 1, 4, 2, 6, 2, 10, 2, 10, 1, 2, 2, 10, 6, 1, 10, 6, 2, 6, 6, 1, 6, 1, 10, 6, 10, 6, 1, 2, 1, 6, 2, 10, 6, 4, 2, 10, 10, 2, 6, 10, 6, 1, 10, 10, 6, 6, 1, 1, 2, 2, 1, 6, 6, 1, 10, 1, 10, 1, 6, 1, 6, 10, 6, 1, 2, 2, 10, 6, 1, 6, 6, 1, 1, 10, 10, 1, 4, 10, 1, 1, 2, 6, 6, 2, 0, 2, 2, 10, 2, 6, 2, 2, 6, 2, 1, 3, 2, 2, 1, 6, 2, 6, 1, 9, 6, 10, 9, 2, 6, 6, 10, 10, 6, 10, 10, 2, 2, 0, 2, 10, 6, 6, 2, 10, 6, 10, 6, 1, 6, 2, 1, 2, 6, 6, 2, 1, 1, 10, 6, 2, 2, 10, 6, 10, 6, 1, 6, 2, 2, 2, 1, 2, 6, 10, 2, 10, 10, 10, 2, 1, 1, 1, 2, 10, 0, 10, 6, 10, 2, 1, 1, 6, 6, 6, 6, 10, 1, 10, 6, 10, 10, 6, 2, 10, 6, 2, 2, 2, 10, 2, 2, 10, 6, 2, 2, 10, 6, 2, 1, 10, 10, 6, 1, 2, 1, 1, 10, 1, 5, 2, 1, 1, 1, 2, 2, 2, 2, 2, 6, 1, 10, 10, 2, 10, 1, 6, 1, 10, 6, 2, 1, 2, 1, 1, 2, 3, 6, 2, 10, 2, 1, 2, 6, 10, 2, 2, 2, 1, 10, 2, 2, 2, 10, 6, 1, 1, 2, 1, 6, 1, 1, 10, 7, 1, 6, 1, 10, 6, 1, 5, 2, 1, 6, 2, 6, 10, 2, 2, 2, 1, 6, 2, 10, 2, 10, 10, 1, 10, 10, 1, 2, 10, 10, 6, 1, 6, 10, 6, 6, 1, 10, 1, 2, 6, 2, 2, 6, 1, 2, 1, 1, 1, 10, 6, 2, 6, 1, 2, 2, 6, 2, 1, 1, 10, 2, 6, 6, 10, 2, 1, 1, 10, 1, 10, 6, 10, 1, 10, 6, 10, 10, 10, 2, 6, 5, 2, 1, 2, 2, 1, 6, 2, 10, 6, 6, 6, 10, 10, 6, 1, 2, 10, 2, 1, 2, 10, 6, 1, 1, 1, 1, 2, 1, 1, 1, 10, 6, 1, 6, 10, 2, 6, 6, 10, 6, 6, 2, 6, 6, 2, 1, 6, 10, 10, 6, 2, 2, 10, 10, 1, 1, 6, 10, 10, 2, 6, 2, 1, 6, 1, 2, 6, 1, 2, 10, 2, 1, 6, 10, 10, 10, 10, 6, 6, 2, 1, 10, 6, 1, 10, 1, 6, 6, 2, 10, 2, 10, 1, 2, 2, 9, 6, 2, 2, 6, 10, 3, 2, 1, 2, 10, 6, 10, 10, 2, 2, 6, 6, 6, 2, 1, 2, 6, 10, 1, 6, 2, 6, 2, 10, 10, 6, 10, 6, 2, 10, 1, 1, 1, 2, 2, 10, 6, 9, 2, 10, 6, 6, 6, 10, 10, 6, 6, 2, 6, 6, 2, 1, 1, 4, 1, 10, 10, 1, 10, 10, 10, 6, 6, 6, 6, 1, 2, 2, 10, 2, 2, 2, 10, 2, 6, 1, 2, 6, 10, 1, 2, 10, 10, 1, 6, 6, 2, 2, 2, 10, 2, 10, 2, 1, 6, 2, 2, 10, 2, 10, 6, 6, 1, 1, 10, 2, 1, 10, 10, 1, 1, 2, 6, 6, 2, 2, 10, 1, 2, 2, 10, 10, 6, 10, 2, 6, 1, 6, 10, 10, 6, 1, 6, 2, 2, 2, 6, 1, 1, 10, 1, 2, 6, 10, 2, 2, 10, 6, 2, 1, 2, 2, 10, 1, 2, 1, 6, 10, 6, 6, 10, 10, 2, 2, 1, 1, 6, 2, 10, 1, 4, 6, 10, 1, 1, 10, 10, 10, 6, 2, 1, 10, 1, 6, 2, 6, 2, 1, 1, 1, 1, 10, 6, 0, 1, 5, 6, 1, 1, 2, 6, 10, 4, 6, 10, 2, 6, 10, 6, 10, 1, 10, 6, 6, 6, 10, 6, 6, 10, 1, 6, 2, 6, 1, 6, 6, 6, 6, 10, 6, 10, 10, 2, 2, 6, 10, 10, 2, 0, 10, 6, 2, 1, 1, 2, 6, 1, 2, 6, 1, 2, 2, 2, 1, 6, 6, 6, 2, 1, 2, 6, 2, 2, 6, 1, 1, 10, 1, 10, 1, 10, 2, 10, 1, 6, 6, 1, 6, 6, 1, 6, 2, 6, 1, 1, 1, 1, 10, 2, 1, 2, 1, 10, 2, 6, 2, 1, 6, 6, 6, 2, 2, 1, 10, 10, 2, 10, 10, 2, 1, 10, 2, 10, 2, 2, 10, 6, 6, 1, 10, 10, 6, 10, 6, 2, 10, 6, 10, 2, 1, 10, 10, 10, 2, 1, 1, 10, 1, 10, 1, 2, 6, 1, 6, 10, 6, 6, 10, 1, 1, 1, 2, 6, 2, 2, 1, 6, 6, 6, 1, 10, 1, 2, 2, 2, 2, 1, 2, 10, 6, 10, 2, 2, 10, 2, 1, 6, 2, 2, 6, 10, 1, 2, 10, 6, 1, 2, 6, 10, 10, 10, 5, 10, 2, 6, 6, 2, 10, 2, 1, 2, 6, 2, 2, 10, 10, 2, 10, 6, 6, 1, 1, 1, 2, 1, 6, 10, 6, 6, 10, 6, 10, 10, 6, 10, 6, 1, 2, 2, 6, 1, 6, 10, 10, 6, 2, 2, 10, 10, 2, 10, 2, 2, 6, 6, 10, 10, 10, 1, 2, 1, 6, 6, 10, 2, 6, 10, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 1, 6, 2, 10, 1, 6, 2, 6, 1, 10, 1, 10, 10, 2, 1, 10, 6, 2, 2, 4, 1, 6, 2, 1, 2, 6, 0, 10, 2, 6, 1, 1, 6, 1, 4, 1, 10, 1, 10, 10, 1, 2, 9, 2, 6, 10, 6, 6, 10, 10, 2, 2, 6, 10, 10, 6, 4, 6, 1, 1, 10, 6, 2, 10, 1, 9, 1, 6, 2, 2, 1, 1, 2, 6, 1, 10, 5, 6, 6, 0, 2, 5, 9, 10, 10, 10, 2, 2, 2, 1, 2, 10, 10, 1, 1, 10, 6, 6, 6, 10, 2, 6, 1, 6, 6, 6, 6, 6, 10, 10, 2, 6, 1, 2, 6, 10, 1, 10, 6, 0, 6, 1, 2, 2, 10, 1, 6, 1, 10, 2, 6, 1, 10, 10, 1, 1, 2, 5, 6, 6, 10, 10, 10, 1, 1, 10, 2, 1, 1, 2, 10, 6, 10, 6, 10, 1, 1, 10, 2, 1, 10, 6, 1, 2, 6, 2, 10, 5, 10, 1, 6, 1, 6, 2, 1, 1, 10, 6, 10, 10, 10, 6, 10, 6, 6, 1, 10, 2, 10, 6, 1, 1, 0, 2, 6, 6, 10, 10, 10, 2, 6, 10, 6, 6, 10, 2, 6, 6, 6, 10, 1, 10, 1, 2, 10, 4, 6, 6, 2, 2, 6, 1, 6, 6, 2, 2, 2, 6, 6, 1, 2, 6, 6, 10, 2, 1, 2, 6, 6, 2, 10, 6, 1, 2, 6, 10, 2, 6, 1, 6, 2, 10, 10, 6, 10, 2, 1, 6, 6, 6, 10, 1, 10, 1, 6, 6, 6, 6, 10, 1, 6, 1, 1, 6, 10, 10, 2, 6, 2, 9, 1, 1, 1, 2, 2, 2, 10, 1, 2, 6, 1, 4, 2, 6, 10, 2, 2, 10, 1, 6, 10, 10, 6, 6, 6, 1, 2, 2, 1, 1, 6, 1, 1, 6, 6, 1, 1, 1, 1, 10, 2, 2, 6, 2, 6, 10, 6, 9, 1, 6, 5, 2, 2, 2, 10, 6, 6, 1, 2, 1, 5, 1, 1, 6, 10, 6, 2, 6, 1, 1, 6, 1, 2, 2, 6, 10, 10, 6, 1, 0, 6, 10, 1, 10, 2, 6, 6, 1, 10, 10, 10, 10, 6, 6, 6, 2, 1, 6, 6, 6, 6, 2, 0, 2, 2, 10, 6, 6, 6, 10, 1, 2, 10, 2, 6, 2, 6, 10, 10, 10, 2, 1, 9, 10, 2, 6, 6, 6, 6, 2, 50, 2, 10, 2, 6, 1, 10, 1, 1, 2, 1, 10, 6, 1, 2, 1, 1, 2, 6, 10, 10, 6, 6, 4, 4, 6, 0, 10, 1, 6, 6, 2, 2, 1, 2, 1, 1, 6, 2, 10, 6, 6, 2, 2, 9, 6, 10, 10, 10, 10, 10, 10, 4, 10, 1, 6, 2, 1, 9, 1, 2, 6, 2, 6, 10, 1, 2, 1, 6, 10, 6, 6, 2, 10, 6, 6, 6, 10, 10, 10, 10, 6, 1, 6, 6, 1, 1, 6, 1, 6, 6, 10, 2, 1, 2, 1, 10, 6, 2, 10, 10, 2, 10, 10, 10, 2, 6, 6, 10, 6, 1, 2, 2, 10, 1, 10, 1, 6, 1, 2, 2, 1, 10, 6, 10, 2, 10, 10, 6, 1, 2, 10, 1, 6, 2, 2, 2, 4, 2, 2, 10, 1, 2, 6, 6, 6, 10, 6, 10, 6, 10, 10, 6, 2, 1, 10, 1, 6, 1, 6, 6, 10, 2, 1, 1, 6, 10, 10, 1, 1, 2, 1, 6, 2, 6, 6, 2, 1, 6, 1, 10, 6, 1, 2, 1, 1, 6, 4, 1, 2, 1, 1, 1, 1, 6, 6, 2, 1, 2, 2, 6, 10, 6, 2, 1, 2, 1, 6, 1, 2, 1, 2, 2, 6, 1, 1, 1, 6, 1, 1, 1, 1, 2, 10, 6, 6, 1, 10, 1, 2, 1, 10, 6, 2, 1, 1, 6, 6, 1, 2, 1, 2, 2, 6, 6, 1, 2, 1, 10, 10, 10, 1, 6, 5, 1, 2, 1, 10, 2, 2, 2, 2, 2, 1, 1, 2, 9, 1, 2, 2, 1, 6, 2, 1, 10, 6, 1, 1, 10, 6, 2, 10, 1, 1, 1, 6, 1, 10, 2, 10, 10, 6, 2, 1, 1, 2, 6, 10, 10, 6, 10, 6, 2, 6, 2, 6, 6, 6, 1, 2, 1, 10, 10, 6, 10, 6, 2, 9, 6, 10, 10, 2, 2, 6, 1, 6, 2, 2, 1, 2, 1, 1, 2, 2, 10, 10, 10, 2, 1, 6, 2, 6, 6, 10, 10, 10, 1, 1, 6, 1, 1, 6, 2, 1, 6, 2, 6, 6, 2, 1, 1, 1, 2, 6, 1, 2, 10, 10, 2, 1, 6, 1, 6, 10, 1, 6, 10, 10, 10, 6, 6, 1, 10, 10, 5, 2, 10, 6, 4, 10, 6, 6, 10, 10, 2, 6, 10, 6, 6, 10, 6, 6, 6, 5, 2, 1, 10, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 10, 10, 6, 1, 1, 6, 2, 1, 6, 4, 10, 2, 1, 1, 1, 1, 2, 1, 2, 10, 1, 6, 1, 10, 6, 10, 1, 6, 1, 10, 2, 1, 1, 1, 10, 10, 6, 10, 1, 2, 6, 6, 2, 10, 4, 6, 2, 2, 10, 10, 10, 10, 10, 2, 6, 10, 6, 2, 10, 1, 2, 6, 1, 1, 2, 1, 1, 2, 2, 6, 1, 6, 1, 2, 1, 1, 1, 2, 10, 1, 1, 2, 1, 2, 0, 10, 1, 2, 10, 1, 1, 10, 10, 2, 2, 2, 10, 1, 2, 2, 2, 6, 1, 1, 1, 1, 10, 6, 6, 2, 6, 10, 1, 10, 5, 5, 1, 10, 10, 10, 10, 1, 1, 1, 2, 1, 10, 1, 10, 1, 2, 10, 10, 10, 1, 10, 2, 6, 10, 9, 2, 10, 2, 10, 10, 5, 10, 6, 6, 10, 2, 1, 10, 6, 1, 1, 1, 1, 9, 6, 2, 1, 2, 6, 6, 10, 1, 2, 10, 1, 2, 2, 10, 6, 10, 2, 10, 10, 6, 6, 2, 1, 6, 6, 6, 1, 6, 10, 6, 6, 5, 6, 6, 6, 2, 2, 2, 2, 5, 1, 10, 10, 6, 6, 1, 2, 10, 1, 6, 2, 1, 2, 2, 2, 6, 10, 2, 2, 6, 5, 6, 10, 2, 6, 2, 1, 6, 4, 2, 6, 2, 10, 2, 2, 10, 2, 2, 1, 6, 6, 6, 10, 1, 2, 1, 2, 10, 5, 1, 10, 10, 1, 2, 2, 10, 10, 2, 2, 10, 6, 10, 10, 2, 1, 1, 6, 1, 2, 6, 10, 6, 9, 10, 2, 1, 1, 6, 1, 10, 10, 2, 2, 10, 6, 6, 1, 10, 1, 9, 6, 10, 10, 6, 6, 10, 1, 2, 10, 10, 1, 6, 2, 10, 1, 1, 10, 10, 10, 10, 10, 6, 1, 1, 2, 2, 6, 2, 1, 10, 10, 6, 6, 6, 1, 6, 10, 2, 1, 1, 2, 10, 6, 1, 1, 10, 6, 2, 10, 6, 6, 2, 10, 2, 1, 6, 2, 6, 6, 2, 1, 2, 1, 10, 6, 10, 2, 2, 1, 6, 10, 1, 6, 2, 10, 2, 1, 2, 2, 1, 10, 2, 10, 1, 6, 10, 10, 1, 1, 1, 10, 6, 10, 2, 10, 2, 1, 6, 6, 1, 6, 6, 10, 9, 0, 1, 10, 10, 6, 10, 6, 10, 1, 10, 1, 6, 1, 2, 10, 6, 2, 10, 6, 6, 6, 1, 1, 6, 1, 6, 6, 1, 6, 1, 2, 6, 10, 10, 2, 10, 10, 10, 2, 2, 6, 10, 6, 2, 2, 10, 10, 9, 1, 6, 2, 2, 6, 10, 10, 10, 6, 6, 6, 10, 10, 10, 10, 6, 10, 10, 1, 2, 2, 6, 6, 1, 10, 1, 2, 6, 6, 2, 10, 2, 10, 6, 1, 2, 2, 1, 6, 2, 1, 2, 6, 6, 2, 6, 6, 6, 1, 2, 1, 10, 10, 10, 10, 1, 6, 6, 1, 10, 2, 1, 6, 6, 6, 1, 10, 10, 2, 10, 10, 2, 2, 10, 2, 6, 10, 6, 10, 2, 1, 6, 6, 6, 2, 1, 2, 1, 6, 10, 6, 10, 10, 1, 1, 1, 2, 6, 1, 10, 6, 6, 10, 1, 10, 6, 1, 6, 1, 6, 2, 10, 6, 1, 10, 2, 2, 6, 1, 6, 1, 1, 6, 2, 6, 1, 1, 2, 10, 1, 2, 0, 6, 2, 1, 2, 10, 2, 2, 2, 6, 10, 10, 10, 6, 10, 6, 2, 1, 2, 6, 6, 2, 1, 6, 1, 1, 9, 6, 0, 10, 10, 2, 10, 1, 6, 6, 10, 2, 1, 1, 2, 6, 2, 1, 2, 1, 2, 6, 2, 10, 6, 2, 1, 2, 1, 1, 10, 6, 2, 2, 6, 1, 1, 2, 1, 6, 2, 1, 6, 1, 1, 10, 2, 6, 6, 1, 2, 1, 10, 10, 6, 2, 6, 6, 10, 6, 2, 10, 2, 2, 1, 1, 2, 6, 6, 2, 10, 6, 6, 10, 6, 2, 2, 2, 2, 6, 6, 6, 1, 1, 10, 5, 2, 2, 1, 1, 2, 10, 2, 1, 2, 2, 10, 10, 2, 10, 2, 10, 2, 2, 1, 6, 2, 2, 0, 2, 2, 10, 10, 6, 2, 0, 0, 10, 5, 10, 10, 1, 10, 1, 2, 2, 10, 6, 10, 10, 2, 1, 10, 1, 1, 6, 10, 6, 10, 6, 10, 10, 10, 1, 1, 10, 1, 1, 10, 6, 10, 6, 2, 2, 10, 6, 2, 2, 5, 2, 2, 2, 10, 10, 1, 1, 6, 10, 6, 2, 0, 1, 6, 6, 2, 6, 6, 2, 6, 6, 4, 2, 10, 10, 2, 1, 6, 10, 1, 6, 2, 10, 2, 2, 6, 2, 2, 6, 2, 2, 1, 9, 10, 10, 1, 1, 6, 1, 6, 10, 6, 5, 2, 2, 2, 10, 10, 2, 1, 6, 6, 1, 1, 10, 2, 2, 6, 6, 2, 2, 6, 2, 1, 2, 6, 2, 6, 1, 1, 2, 10, 5, 10, 2, 10, 10, 6, 10, 6, 6, 2, 10, 1, 2, 2, 0, 6, 0, 10, 10, 10, 6, 2, 2, 6, 6, 2, 10, 2, 1, 1, 2, 2, 2, 10, 2, 6, 2, 10, 10, 2, 10, 1, 2, 6, 6, 6, 1, 10, 10, 6, 1, 2, 2, 2, 6, 0, 1, 6, 9, 1, 0, 1, 6, 6, 2, 1, 1, 9, 6, 2, 6, 10, 2, 10, 6, 6, 2, 2, 1, 10, 2, 6, 1, 1, 1, 6, 6, 1, 6, 1, 2, 6, 1, 10, 10, 10, 10, 2, 10, 6, 1, 10, 1, 4, 10, 2, 2, 1, 1, 2, 9, 1, 1, 6, 6, 10, 6, 6, 2, 1, 2, 2, 2, 2, 10, 10, 1, 10, 6, 1, 2, 2, 1, 10, 10, 2, 10, 6, 10, 10, 6, 6, 6, 6, 1, 1, 1, 1, 6, 1, 2, 10, 1, 2, 6, 10, 10, 1, 2, 2, 10, 1, 1, 1, 10, 1, 6, 2, 6, 6, 10, 10, 6, 10, 6, 6, 10, 0, 2, 6, 10, 2, 10, 2, 6, 10, 6, 10, 1, 2, 2, 6, 1, 1, 10, 6, 2, 6, 6, 10, 6, 10, 10, 2, 2, 1, 2, 6, 1, 10, 10, 6, 2, 10, 1, 2, 4, 10, 6, 10, 2, 1, 4, 6, 6, 2, 6, 10, 1, 10, 2, 2, 1, 1, 2, 2, 2, 10, 2, 2, 6, 6, 5, 1, 2, 6, 2, 1, 2, 2, 10, 1, 1, 6, 2, 10, 10, 6, 6, 6, 6, 6, 2, 1, 1, 10, 2, 10, 1, 10, 2, 6, 1, 10, 5, 10, 10, 1, 6, 2, 6, 6, 10, 1, 1, 6, 1, 6, 1, 6, 6, 10, 2, 10, 1, 1, 2, 6, 1, 1, 10, 2, 2, 2, 2, 2, 1, 6, 10, 1, 5, 2, 10, 1, 10, 10, 6, 1, 1, 6, 2, 10, 6, 1, 2, 6, 2, 10, 2, 6, 1, 6, 1, 1, 6, 10, 10, 1, 2, 10, 10, 1, 2, 10, 9, 2, 2, 2, 1, 4, 6, 10, 10, 6, 10, 2, 10, 6, 2, 2, 1, 2, 1, 2, 6, 2, 1, 2, 2, 2, 10, 1, 1, 10, 6, 1, 10, 2, 10, 10, 10, 10, 1, 10, 10, 10, 2, 1, 2, 10, 5, 6, 6, 5, 6, 2, 10, 10, 6, 2, 6, 10, 1, 6, 1, 10, 2, 2, 6, 6, 2, 6, 6, 10, 1, 10, 10, 10, 2, 1, 1, 10, 1, 10, 2, 10, 6, 10, 10, 2, 10, 10, 10, 6, 1, 10, 1, 2, 10, 10, 6, 10, 6, 10, 1, 5, 6, 2, 6, 6, 10, 10, 10, 6, 2, 10, 1, 1, 10, 6, 1, 10, 6, 6, 10, 2, 2, 1, 2, 1, 6, 2, 10, 10, 1, 1, 10, 10, 2, 10, 6, 2, 9, 2, 10, 6, 10, 1, 6, 10, 10, 10, 2, 6, 1, 10, 6, 10, 1, 1, 0, 2, 1, 2, 6, 10, 1, 6, 2, 1, 1, 6, 1, 6, 10, 6, 10, 6, 1, 6, 1, 2, 10, 6, 6, 6, 2, 1, 10, 10, 2, 1, 4, 1, 1, 6, 2, 2, 6, 2, 1, 2, 10, 10, 2, 1, 10, 6, 10, 2, 1, 1, 1, 2, 10, 2, 2, 6, 10, 6, 1, 2, 6, 2, 1, 1, 2, 10, 1, 2, 1, 2, 2, 10, 10, 10, 2, 10, 10, 2, 10, 10, 6, 1, 6, 2, 1, 2, 10, 10, 2, 6, 6, 1, 10, 2, 6, 10, 1, 1, 1, 1, 2, 1, 1, 6, 1, 10, 1, 6, 6, 6, 1, 6, 4, 10, 6, 10, 10, 2, 1, 1, 6, 10, 2, 2, 6, 6, 10, 2, 10, 1, 6, 9, 6, 2, 2, 9, 10, 10, 6, 6, 10, 6, 5, 10, 6, 1, 10, 1, 2, 5, 2, 6, 1, 1, 2, 6, 2, 2, 1, 2, 1, 10, 2, 6, 1, 10, 10, 2, 1, 10, 2, 1, 2, 1, 10, 2, 2, 2, 6, 10, 2, 6, 10, 10, 2, 10, 6, 2, 1, 10, 2, 1, 6, 6, 10, 6, 10, 10, 1, 6, 6, 2, 6, 2, 2, 6, 5, 1, 10, 10, 2, 2, 2, 10, 6, 2, 6, 2, 2, 10, 10, 10, 10, 10, 1, 2, 1, 6, 6, 10, 6, 6, 1, 6, 6, 10, 1, 1, 1, 2, 10, 0, 10, 1, 2, 1, 2, 2, 10, 1, 10, 2, 2, 10, 1, 2, 6, 6, 6, 1, 6, 6, 1, 2, 2, 1, 2, 6, 2, 1, 2, 10, 1, 2, 6, 6, 2, 2, 2, 10, 2, 5, 10, 10, 6, 6, 6, 1, 2, 10, 10, 2, 10, 5, 10, 1, 2, 6, 10, 6, 2, 10, 10, 2, 10, 1, 10, 1, 2, 2, 2, 6, 1, 1, 10, 2, 10, 2, 2, 2, 10, 10, 10, 10, 10, 1, 1, 1, 2, 1, 10, 6, 10, 1, 10, 6, 6, 6, 2, 10, 1, 2, 1, 1, 6, 2, 2, 0, 6, 1, 1, 6, 6, 1, 10, 1, 10, 6, 10, 2, 10, 6, 1, 10, 6, 10, 10, 2, 6, 1, 10, 1, 10, 1, 6, 6, 1, 1, 10, 6, 1, 6, 10, 6, 4, 10, 4, 1, 10, 10, 1, 1, 9, 10, 2, 2, 10, 2, 1, 10, 2, 6, 6, 1, 1, 10, 1, 10, 6, 5, 6, 2, 2, 2, 2, 4, 10, 2, 2, 2, 1, 6, 6, 10, 10, 1, 6, 2, 10, 10, 10, 6, 6, 6, 2, 2, 10, 6, 10, 1, 2, 10, 6, 6, 10, 10, 2, 10, 2, 2, 6, 6, 2, 1, 10, 10, 6, 1, 10, 10, 1, 10, 6, 10, 2, 2, 2, 6, 1, 1, 10, 2, 6, 6, 2, 6, 10, 6, 1, 6, 1, 6, 10, 6, 6, 2, 10, 6, 2, 1, 6, 10, 6, 10, 1, 2, 1, 4, 2, 2, 1, 2, 2, 2, 10, 6, 1, 1, 2, 6, 6, 1, 10, 2, 1, 10, 6, 6, 2, 10, 10, 1, 1, 2, 6, 1, 5, 2, 10, 10, 10, 6, 10, 1, 2, 10, 1, 2, 2, 9, 1, 10, 2, 9, 10, 2, 6, 5, 2, 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6, 1, 1, 10, 10, 2, 2, 10, 1, 10, 6, 6, 6, 10, 1, 1, 1, 10, 1, 2, 6, 2, 1, 6, 1, 1, 1, 10, 5, 1, 1, 1, 10, 6, 1, 2, 6, 2, 1, 10, 2, 10, 2, 2, 2, 1, 10, 2, 2, 2, 2, 2, 10, 10, 2, 2, 10, 2, 10, 6, 10, 10, 1, 2, 10, 7, 6, 6, 60, 2, 10, 6, 10, 10, 1, 2, 1, 1, 6, 1, 10, 6, 0, 1, 1, 10, 1, 2, 6, 2, 6, 2, 10, 10, 2, 1, 2, 10, 10, 1, 6, 10, 6, 2, 1, 6, 6, 10, 1, 2, 6, 2, 6, 6, 6, 6, 10, 1, 1, 2, 1, 10, 2, 10, 10, 2, 6, 6, 10, 1, 1, 5, 10, 6, 10, 1, 2, 1, 1, 1, 10, 10, 6, 2, 1, 6, 1, 6, 10, 1, 5, 1, 10, 10, 1, 2, 2, 2, 1, 2, 2, 1, 9, 10, 1, 1, 2, 1, 6, 2, 1, 0, 10, 2, 6, 10, 2, 2, 1, 2, 6, 9, 10, 2, 6, 2, 10, 1, 1, 6, 10, 2, 6, 1, 1, 1, 2, 1, 10, 6, 2, 6, 10, 2, 10, 6, 1, 10, 2, 10, 10, 2, 10, 2, 2, 2, 2, 2, 6, 6, 1, 6, 1, 2, 2, 1, 10, 2, 2, 2, 1, 10, 2, 2, 6, 1, 1, 10, 9, 10, 1, 1, 10, 1, 10, 2, 6, 1, 1, 10, 1, 6, 1, 1, 2, 1, 10, 1, 1, 1, 1, 1, 1, 10, 10, 10, 2, 6, 2, 2, 6, 2, 1, 1, 1, 6, 2, 10, 1, 1, 2, 2, 1, 6, 10, 6, 2, 1, 10, 1, 2, 6, 6, 1, 1, 6, 2, 1, 6, 10, 6, 6, 6, 1, 10, 2, 6, 10, 6, 2, 4, 6, 2, 1, 6, 1, 6, 2, 1, 2, 10, 6, 6, 1, 2, 1, 1, 2, 10, 6, 6, 1, 10, 2, 1, 1, 2, 2, 6, 1, 6, 1, 1, 2, 6, 1, 6, 10, 10, 6, 10, 1, 10, 6, 10, 6, 1, 6, 1, 6, 6, 10, 6, 1, 6, 6, 10, 5, 1, 1, 1, 2, 10, 1, 2, 1, 2, 2, 6, 10, 1, 2, 6, 2, 10, 10, 2, 6, 10, 1, 10, 6, 6, 2, 1, 10, 2, 1, 2, 1, 10, 2, 6, 6, 2, 1, 2, 1, 1, 10, 6, 2, 4, 0, 6, 1, 6, 10, 0, 10, 10, 1, 1, 1, 6, 10, 6, 1, 5, 1, 10, 1, 1, 2, 6, 6, 10, 6, 1, 1, 1, 6, 0, 2, 6, 10, 1, 2, 10, 10, 10, 2, 10, 1, 2, 6, 2, 1, 10, 1, 1, 2, 10, 10, 1, 10, 10, 2, 1, 0, 1, 1, 1, 1, 2, 1, 6, 1, 10, 2, 10, 6, 1, 2, 2, 1, 10, 2, 6, 2, 6, 6, 2, 2, 1, 1, 1, 1, 1, 2, 6, 10, 6, 10, 6, 2, 2, 2, 1, 1, 2, 10, 1, 2, 10, 1, 6, 10, 10, 6, 10, 1, 9, 10, 6, 2, 6, 2, 2, 10, 6, 1, 10, 1, 1, 6, 2, 2, 10, 2, 1, 10, 2, 1, 2, 2, 1, 10, 10, 10, 1, 6, 2, 1, 6, 6, 6, 1, 1, 6, 2, 1, 1, 6, 10, 10, 6, 6, 10, 6, 10, 1, 10, 6, 1, 6, 6, 2, 6, 6, 1, 10, 10, 1, 1, 10, 6, 6, 6, 1, 6, 2, 1, 2, 6, 6, 2, 10, 6, 2, 10, 1, 10, 10, 10, 10, 10, 1, 2, 4, 10, 2, 2, 5, 1, 10, 2, 6, 10, 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9, 1, 10, 9, 10, 8, 6, 1, 6, 2, 6, 1, 2, 6, 1, 10, 1, 10, 9, 6, 6, 10, 1, 6, 1, 6, 10, 6, 10, 2, 1, 1, 2, 2, 10, 10, 10, 9, 10, 1, 2, 6, 1, 2, 6, 1, 1, 6, 6, 1, 9, 2, 6, 1, 6, 10, 6, 6, 1, 10, 6, 6, 10, 1, 1, 2, 6, 10, 10, 2, 6, 1, 6, 2, 6, 1, 5, 1, 4, 1, 1, 10, 2, 6, 6, 0, 10, 1, 2, 6, 10, 6, 2, 10, 6, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 10, 6, 10, 2, 10, 1, 6, 6, 4, 2, 10, 6, 6, 10, 2, 6, 1, 2, 2, 1, 10, 10, 2, 10, 1, 6, 2, 10, 6, 1, 6, 6, 1, 6, 2, 6, 1, 6, 10, 10, 1, 1, 2, 2, 2, 1, 2, 10, 10, 2, 6, 6, 1, 2, 6, 2, 10, 10, 1, 10, 1, 10, 1, 2, 1, 10, 6, 10, 2, 5, 10, 6, 1, 1, 1, 1, 2, 2, 1, 10, 2, 10, 10, 2, 0, 6, 2, 1, 6, 6, 1, 1, 2, 2, 2, 10, 2, 2, 10, 2, 10, 4, 10, 1, 10, 10, 2, 2, 10, 1, 2, 1, 2, 10, 10, 10, 6, 6, 2, 1, 10, 10, 6, 6, 0, 1, 10, 1, 2, 6, 10, 2, 6, 6, 2, 10, 10, 1, 10, 0, 2, 1, 1, 10, 6, 10, 6, 6, 0, 6, 2, 10, 6, 6, 2, 10, 2, 10, 10, 1, 1, 1, 6, 6, 2, 1, 1, 6, 10, 6, 2, 10, 2, 1, 1, 2, 6, 6, 2, 1, 6, 1, 6, 1, 6, 10, 10, 10, 6, 1, 4, 6, 6, 6, 10, 2, 1, 1, 2, 2, 6, 6, 1, 10, 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6, 10, 2, 6, 1, 1, 10, 6, 0, 6, 1, 1, 2, 2, 6, 2, 10, 10, 10, 6, 10, 6, 2, 6, 10, 1, 1, 6, 6, 1, 2, 6, 6, 1, 6, 1, 10, 0, 1, 6, 6, 1, 2, 2, 6, 2, 6, 10, 1, 1, 2, 10, 1, 1, 6, 2, 5, 6, 2, 6, 10, 2, 10, 1, 6, 10, 2, 6, 6, 6, 10, 1, 6, 6, 10, 6, 6, 2, 10, 1, 2, 1, 1, 6, 10, 2, 6, 6, 6, 1, 10, 10, 2, 1, 2, 1, 6, 1, 10, 1, 2, 1, 1, 6, 10, 10, 0, 10, 6, 6, 6, 1, 10, 2, 2, 10, 10, 6, 10, 2, 6, 2, 6, 6, 5, 2, 2, 6, 6, 2, 1, 6, 2, 10, 1, 10, 10, 10, 10, 6, 2, 2, 6, 2, 2, 6, 10, 1, 5, 10, 10, 10, 10, 2, 10, 1, 10, 0, 2, 10, 1, 4, 2, 10, 1, 2, 6, 1, 1, 2, 10, 1, 9, 2, 5, 1, 2, 1, 5, 6, 2, 1, 10, 1, 10, 2, 6, 2, 2, 10, 2, 10, 2, 1, 1, 6, 2, 1, 1, 6, 2, 1, 9, 10, 6, 10, 10, 1, 2, 2, 6, 10, 6, 1, 1, 6, 6, 1, 6, 4, 1, 10, 10, 2, 1, 6, 10, 1, 2, 10, 2, 10, 6, 10, 1, 10, 10, 2, 9, 1, 1, 2, 2, 2, 10, 6, 10, 1, 2, 2, 10, 1, 10, 2, 2, 1, 10, 1, 10, 10, 10, 10, 2, 6, 1, 10, 10, 10, 6, 6, 2, 1, 2, 6, 6, 2, 2, 4, 10, 2, 10, 6, 2, 2, 1, 6, 6, 2, 1, 2, 2, 6, 6, 2, 1, 2, 10, 6, 2, 6, 1, 2, 10, 10, 10, 2, 10, 10, 6, 1, 2, 2, 2, 2, 6, 2, 10, 10, 6, 1, 1, 2, 10, 2, 1, 2, 10, 6, 1, 1, 1, 1, 1, 10, 1, 2, 2, 6, 10, 1, 6, 2, 2, 1, 10, 2, 6, 2, 2, 6, 10, 1, 10, 10, 2, 10, 1, 6, 10, 2, 1, 2, 6, 10, 10, 2, 6, 6, 2, 2, 10, 1, 1, 10, 10, 2, 5, 1, 10, 10, 2, 10, 2, 10, 1, 10, 1, 1, 10, 1, 10, 10, 6, 1, 10, 1, 10, 6, 10, 10, 1, 10, 6, 6, 1, 10, 10, 6, 6, 6, 2, 10, 10, 10, 6, 6, 1, 2, 10, 6, 10, 6, 2, 10, 10, 2, 10, 1, 4, 6, 1, 2, 2, 1, 2, 2, 1, 6, 2, 1, 10, 2, 10, 6, 1, 2, 4, 2, 6, 6, 2, 10, 10, 1, 1, 6, 2, 10, 6, 6, 1, 10, 5, 2, 2, 1, 6, 10, 10, 2, 1, 10, 2, 6, 10, 2, 5, 10, 2, 6, 10, 6, 1, 6, 1, 0, 6, 1, 2, 6, 4, 9, 1, 1, 2, 2, 1, 6, 6, 6, 6, 2, 6, 6, 6, 1, 2, 6, 10, 1, 1, 6, 1, 1, 1, 10, 10, 10, 10, 2, 10, 1, 1, 6, 10, 2, 2, 2, 1, 2, 6, 2, 10, 2, 10, 10, 10, 6, 10, 2, 2, 2, 2, 1, 5, 10, 10, 6, 10, 10, 2, 10, 10, 2, 6, 6, 9, 1, 2, 6, 1, 10, 2, 6, 10, 6, 10, 2, 6, 1, 10, 2, 2, 2, 6, 10, 2, 2, 1, 6, 10, 1, 10, 9, 2, 1, 1, 2, 1, 6, 1, 2, 2, 6, 1, 6, 1, 6, 6, 6, 10, 1, 1, 1, 1, 6, 10, 6, 10, 2, 2, 10, 10, 2, 10, 2, 10, 2, 2, 1, 6, 2, 10, 10, 6, 1, 10, 6, 10, 2, 6, 10, 10, 6, 8, 1, 4, 10, 6, 2, 2, 6, 6, 10, 1, 6, 1, 10, 1, 2, 10, 10, 2, 1, 9, 10, 1, 6, 1, 6, 1, 6, 1, 2, 10, 10, 10, 10, 2, 2, 1, 6, 10, 10, 1, 10, 1, 6, 10, 10, 6, 6, 6, 10, 2, 6, 10, 6, 6, 1, 6, 6, 2, 1, 2, 6, 10, 6, 2, 1, 1, 2, 1, 10, 1, 2, 10, 6, 2, 2, 1, 6, 6, 2, 10, 6, 9, 1, 10, 10, 6, 6, 1, 10, 1, 1, 10, 10, 10, 10, 6, 2, 2, 10, 10, 10, 10, 6, 6, 0, 6, 6, 10, 2, 6, 6, 2, 6, 1, 10, 10, 6, 6, 6, 6, 10, 1, 1, 10, 10, 6, 10, 10, 1, 0, 10, 10, 2, 6, 10, 10, 2, 1, 2, 10, 1, 2, 6, 2, 2, 6, 6, 1, 10, 2, 2, 6, 6, 1, 6, 0, 1, 6, 10, 6, 6, 6, 2, 2, 10, 10, 2, 6, 2, 1, 6, 6, 2, 6, 10, 6, 1, 1, 10, 1, 2, 1, 10, 10, 2, 2, 10, 2, 6, 2, 10, 10, 1, 2, 10, 1, 10, 2, 10, 1, 2, 6, 10, 6, 1, 6, 2, 2, 2, 6, 10, 2, 1, 6, 1, 6, 6, 1, 1, 2, 6, 2, 6, 1, 2, 1, 6, 10, 6, 2, 2, 6, 1, 2, 6, 10, 6, 10, 10, 6, 4, 6, 2, 1, 2, 2, 2, 1, 2, 1, 10, 10, 6, 6, 10, 6, 2, 10, 6, 1, 6, 2, 10, 1, 1, 10, 6, 2, 2, 2, 10, 10, 1, 2, 6, 10, 1, 6, 10, 1, 10, 10, 6, 10, 1, 1, 10, 10, 1, 6, 6, 1, 1, 1, 1, 0, 9, 10, 6, 2, 2, 9, 10, 10, 6, 10, 6, 10, 10, 10, 1, 1, 6, 1, 1, 6, 1, 1, 2, 1, 0, 10, 2, 2, 2, 6, 60, 10, 1, 1, 1, 10, 2, 1, 10, 6, 10, 1, 1, 10, 6, 10, 1, 2, 9, 6, 2, 1, 10, 1, 6, 1, 5, 1, 10, 10, 2, 6, 2, 10, 6, 2, 2, 1, 2, 10, 1, 2, 1, 10, 10, 6, 1, 2, 2, 1, 6, 1, 6, 6, 1, 9, 10, 2, 2, 2, 6, 10, 6, 5, 6, 1, 1, 6, 2, 10, 2, 6, 6, 6, 10, 6, 1, 2, 2, 6, 10, 2, 2, 10, 1, 2, 1, 10, 2, 2, 6, 6, 10, 2, 10, 2, 10, 10, 1, 6, 10, 10, 1, 2, 2, 10, 2, 10, 6, 6, 2, 6, 10, 1, 10, 2, 2, 1, 2, 10, 6, 6, 2, 6, 6, 1, 10, 1, 10, 1, 10, 2, 6, 1, 6, 1, 4, 10, 2, 1, 10, 2, 10, 2, 10, 10, 10, 1, 10, 2, 10, 10, 5, 6, 1, 10, 9, 2, 2, 1, 1, 2, 1, 1, 1, 2, 6, 1, 10, 1, 1, 10, 6, 6, 10, 10, 8, 80, 1, 10, 1, 6, 2, 6, 9, 10, 1, 6, 2, 6, 2, 2, 1, 10, 6, 1, 6, 10, 2, 6, 1, 1, 10, 6, 6, 10, 1, 6, 2, 10, 2, 6, 1, 1, 10, 6, 1, 2, 2, 6, 10, 10, 6, 2, 10, 1, 2, 2, 1, 6, 1, 6, 2, 10, 2, 10, 1, 6, 10, 2, 2, 1, 2, 1, 1, 6, 10, 1, 2, 10, 6, 6, 10, 1, 1, 2, 10, 6, 6, 2, 10, 10, 10, 6, 10, 1, 10, 1, 6, 2, 6, 2, 1, 1, 6, 6, 6, 2, 1, 6, 2, 1, 2, 10, 10, 10, 6, 1, 2, 6, 6, 10, 6, 10, 6, 10, 1, 10, 6, 5, 10, 2, 2, 10, 2, 10, 6, 6, 10, 1, 10, 6, 6, 2, 2, 6, 6, 6, 2, 2, 2, 6, 10, 2, 6, 10, 2, 6, 1, 2, 2, 1, 1, 2, 10, 6, 2, 1, 10, 6, 2, 1, 10, 6, 2, 1, 10, 0, 0, 1, 2, 10, 0, 10, 6, 1, 6, 6, 10, 10, 2, 2, 2, 6, 6, 5, 6, 10, 6, 10, 6, 2, 2, 6, 2, 1, 6, 2, 2, 0, 6, 1, 2, 10, 6, 0, 4, 2, 2, 10, 6, 6, 6, 6, 6, 10, 10, 6, 2, 2, 1, 2, 9, 2, 10, 1, 6, 1, 6, 6, 1, 1, 6, 2, 1, 1, 1, 2, 10, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 6, 2, 2, 10, 6, 10, 1, 6, 1, 6, 10, 1, 2, 2, 2, 6, 6, 10, 2, 2, 1, 2, 2, 2, 10, 2, 6, 1, 10, 6, 1, 1, 2, 2, 2, 2, 6, 6, 2, 1, 2, 10, 6, 1, 2, 2, 2, 10, 1, 1, 6, 2, 1, 2, 10, 10, 2, 6, 1, 2, 1, 10, 10, 2, 2, 10, 2, 10, 1, 6, 10, 1, 2, 1, 6, 10, 2, 1, 1, 1, 6, 10, 10, 6, 9, 1, 10, 6, 6, 2, 5, 4, 10, 2, 6, 9, 2, 10, 6, 6, 2, 10, 10, 2, 10, 5, 4, 1, 10, 2, 2, 1, 6, 1, 1, 10, 0, 6, 6, 1, 2, 6, 10, 2, 10, 2, 2, 6, 2, 2, 1, 2, 6, 1, 6, 2, 2, 10, 2, 10, 1, 1, 0, 2, 6, 2, 10, 1, 6, 2, 1, 2, 10, 2, 1, 10, 6, 1, 50, 10, 1, 1, 6, 2, 1, 10, 1, 8, 1, 6, 2, 6, 1, 1, 10, 6, 2, 2, 2, 6, 6, 2, 2, 6, 1, 6, 10, 6, 6, 4, 6, 10, 6, 1, 6, 2, 1, 6, 6, 10, 2, 1, 2, 6, 2, 2, 1, 10, 2, 10, 2, 10, 10, 2, 6, 1, 1, 1, 2, 2, 1, 1, 4, 10, 1, 10, 10, 10, 2, 1, 1, 1, 10, 2, 6, 6, 2, 1, 1, 2, 6, 10, 1, 10, 10, 1, 6, 6, 2, 1, 2, 1, 6, 6, 1, 10, 2, 10, 6, 6, 2, 10, 6, 10, 1, 2, 6, 6, 1, 10, 10, 9, 2, 2, 1, 6, 1, 2, 1, 10, 10, 1, 1, 1, 2, 10, 10, 10, 1, 2, 6, 1, 10, 10, 10, 10, 10, 6, 6, 1, 1, 1, 10, 1, 1, 10, 10, 2, 10, 6, 2, 2, 6, 2, 2, 1, 6, 10, 2, 2, 6, 2, 10, 6, 1, 1, 10, 1, 6, 10, 2, 6, 1, 6, 10, 6, 1, 10, 6, 2, 5, 1, 10, 10, 10, 6, 2, 1, 10, 1, 6, 2, 10, 1, 10, 6, 6, 6, 2, 1, 10, 10, 6, 6, 10, 2, 2, 10, 6, 2, 10, 10, 1, 1, 1, 6, 10, 1, 2, 1, 1, 6, 2, 10, 6, 6, 10, 6, 1, 10, 2, 2, 2, 6, 10, 1, 10, 1, 10, 10, 2, 10, 2, 1, 6, 2, 2, 2, 2, 2, 2, 10, 2, 6, 1, 1, 1, 1, 6, 10, 10, 10, 6, 6, 10, 2, 2, 10, 1, 6, 10, 10, 2, 6, 10, 1, 1, 6, 10, 1, 6, 10, 0, 1, 6, 2, 6, 6, 6, 1, 1, 1, 10, 6, 2, 2, 6, 2, 1, 6, 10, 6, 6, 6, 2, 1, 1, 10, 5, 1, 1, 10, 1, 2, 6, 2, 10, 10, 2, 10, 1, 2, 6, 10, 6, 1, 2, 9, 2, 1, 6, 1, 1, 2, 2, 10, 1, 2, 2, 1, 2, 6, 2, 1, 2, 1, 6, 2, 2, 6, 1, 10, 6, 1, 2, 2, 4, 10, 1, 10, 6, 1, 2, 2, 2, 10, 2, 10, 2, 6, 10, 1, 10, 6, 6, 1, 1, 1, 10, 6, 10, 6, 2, 1, 10, 4, 6, 10, 2, 6, 6, 1, 6, 6, 10, 1, 10, 10, 1, 1, 6, 1, 6, 2, 2, 6, 0, 6, 10, 1, 6, 2, 10, 9, 1, 6, 10, 1, 0, 2, 6, 1, 9, 10, 10, 2, 6, 6, 2, 10, 10, 6, 2, 6, 10, 10, 10, 2, 2, 1, 10, 1, 6, 10, 10, 10, 6, 2, 2, 6, 1, 2, 2, 2, 2, 1, 1, 1, 10, 6, 10, 1, 2, 6, 2, 6, 4, 10, 10, 1, 1, 10, 2, 1, 10, 6, 10, 6, 2, 1, 6, 10, 2, 10, 9, 2, 10, 6, 6, 10, 6, 2, 6, 6, 10, 6, 10, 6, 10, 2, 2, 2, 1, 10, 2, 10, 10, 1, 1, 6, 2, 1, 6, 2, 6, 10, 2, 1, 10, 1, 10, 6, 10, 10, 6, 6, 6, 10, 10, 1, 1, 2, 6, 6, 2, 6, 6, 2, 2, 1, 10, 8, 2, 2, 10, 10, 2, 6, 1, 6, 6, 6, 4, 2, 10, 10, 2, 2, 2, 10, 6, 1, 2, 6, 6, 10, 2, 1, 10, 1, 10, 2, 10, 1, 10, 10, 2, 6, 1, 0, 6, 6, 6, 2, 2, 10, 2, 2, 2, 6, 2, 6, 6, 2, 1, 10, 1, 10, 10, 1, 6, 5, 2, 2, 2, 10, 1, 10, 6, 10, 9, 6, 1, 10, 1, 2, 10, 2, 1, 1, 1, 1, 6, 1, 2, 1, 10, 2, 2, 6, 1, 2, 6, 10, 10, 1, 9, 6, 0, 1, 2, 10, 5, 6, 10, 2, 6, 2, 6, 10, 10, 1, 10, 2, 10, 10, 1, 2, 10, 6, 6, 6, 10, 2, 2, 6, 6, 0, 2, 1, 2, 2, 10, 10, 2, 1, 2, 2, 6, 2, 10, 2, 2, 2, 2, 1, 2, 10, 6, 6, 6, 9, 10, 2, 10, 1, 10, 10, 2, 2, 10, 10, 10, 1, 2, 1, 6, 2, 10, 10, 2, 1, 2, 6, 5, 10, 10, 2, 1, 1, 2, 10, 1, 1, 6, 1, 1, 10, 10, 1, 1, 1, 10, 1, 6, 1, 2, 0, 1, 6, 2, 10, 10, 10, 6, 1, 6, 10, 6, 2, 6, 2, 6, 1, 10, 1, 10, 2, 6, 1, 2, 10, 2, 2, 2, 6, 1, 10, 6, 2, 6, 2, 6, 6, 1, 10, 6, 10, 2, 1, 10, 6, 10, 2, 6, 6, 2, 1, 1, 10, 1, 10, 1, 6, 1, 10, 6, 10, 10, 10, 10, 10, 5, 10, 10, 2, 6, 2, 10, 2, 6, 6, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 10, 6, 1, 1, 2, 10, 6, 2, 1, 2, 6, 6, 6, 2, 1, 4, 6, 2, 2, 10, 10, 6, 10, 2, 1, 2, 2, 9, 6, 10, 2, 2, 1, 6, 6, 10, 6, 6, 10, 1, 5, 6, 10, 1, 2, 10, 2, 10, 1, 10, 1, 9, 10, 1, 10, 2, 1, 1, 6, 10, 1, 0, 2, 2, 10, 10, 2, 10, 1, 2, 6, 1, 2, 5, 2, 10, 2, 10, 10, 1, 2, 1, 2, 6, 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10, 6, 2, 1, 1, 1, 2, 6, 6, 1, 6, 10, 1, 10, 6, 10, 1, 1, 10, 50, 2, 6, 6, 10, 1, 2, 6, 10, 2, 2, 1, 2, 10, 1, 6, 1, 10, 10, 10, 6, 2, 2, 6, 2, 10, 2, 2, 6, 1, 1, 6, 6, 2, 2, 1, 10, 2, 6, 1, 6, 6, 2, 2, 2, 2, 6, 10, 1, 2, 6, 6, 2, 6, 6, 6, 1, 2, 2, 1, 10, 10, 1, 2, 9, 10, 2, 10, 2, 1, 4, 2, 1, 1, 6, 6, 10, 1, 2, 6, 2, 10, 2, 1, 10, 6, 1, 1, 2, 1, 6, 10, 10, 6, 2, 1, 1, 4, 2, 1, 10, 1, 1, 6, 2, 2, 6, 1, 2, 5, 2, 2, 10, 2, 2, 10, 6, 2, 2, 1, 1, 10, 1, 1, 10, 1, 1, 1, 6, 2, 6, 10, 10, 1, 1, 10, 10, 10, 6, 2, 2, 10, 6, 6, 9, 10, 2, 1, 6, 5, 2, 10, 6, 6, 0, 6, 2, 1, 10, 2, 6, 1, 2, 2, 2, 2, 5, 2, 2, 6, 2, 1, 10, 6, 2, 2, 10, 1, 6, 6, 6, 6, 6, 10, 10, 6, 6, 6, 1, 2, 2, 1, 1, 6, 10, 2, 10, 10, 6, 1, 6, 10, 2, 2, 10, 6, 1, 6, 10, 6, 6, 2, 1, 6, 6, 1, 1, 10, 1, 6, 1, 6, 6, 10, 2, 1, 2, 2, 6, 10, 10, 2, 10, 2, 1, 6, 6, 2, 10, 6, 6, 1, 10, 1, 6, 10, 10, 2, 2, 2, 6, 2, 5, 10, 6, 2, 10, 2, 1, 10, 10, 10, 2, 2, 6, 0, 6, 2, 1, 6, 10, 2, 6, 1, 1, 2, 6, 10, 10, 6, 10, 10, 2, 2, 1, 6, 10, 2, 2, 2, 6, 2, 1, 1, 6, 6, 1, 1, 10, 1, 2, 2, 10, 6, 10, 1, 6, 2, 2, 2, 6, 1, 2, 1, 6, 2, 10, 2, 6, 6, 6, 2, 1, 6, 1, 1, 2, 1, 10, 10, 6, 6, 10, 10, 1, 2, 1, 2, 6, 10, 10, 1, 1, 1, 10, 2, 2, 6, 2, 4, 1, 6, 2, 6, 10, 2, 1, 2, 2, 2, 6, 1, 6, 6, 2, 10, 2, 6, 1, 2, 6, 6, 6, 1, 2, 10, 1, 6, 4, 1, 10, 2, 10, 6, 10, 6, 2, 2, 10, 6, 1, 10, 1, 6, 10, 2, 6, 6, 10, 6, 1, 6, 1, 2, 10, 10, 1, 10, 6, 2, 1, 10, 6, 2, 2, 6, 10, 6, 4, 1, 1, 6, 6, 1, 10, 1, 2, 6, 6, 6, 1, 6, 10, 10, 10, 6, 6, 6, 2, 6, 6, 1, 6, 1, 10, 1, 1, 6, 6, 6, 2, 1, 2, 2, 10, 6, 10, 10, 6, 10, 2, 2, 6, 5, 2, 1, 10, 10, 6, 6, 2, 2, 1, 10, 6, 10, 10, 2, 10, 1, 6, 10, 10, 1, 6, 2, 6, 6, 2, 10, 1, 10, 2, 10, 10, 6, 10, 10, 1, 10, 2, 2, 1, 6, 10, 2, 1, 2, 2, 1, 1, 2, 1, 2, 4, 10, 1, 6, 2, 6, 1, 1, 10, 10, 2, 1, 6, 6, 9, 6, 2, 2, 10, 10, 2, 6, 1, 1, 10, 1, 2, 1, 2, 2, 1, 2, 2, 10, 10, 6, 10, 6, 2, 1, 2, 1, 10, 1, 2, 1, 2, 6, 2, 6, 4, 2, 2, 1, 2, 1, 10, 6, 2, 1, 2, 6, 2, 2, 1, 10, 6, 10, 2, 1, 2, 10, 10, 6, 10, 10, 2, 10, 1, 10, 10, 1, 10, 10, 1, 10, 10, 6, 2, 10, 1, 2, 6, 10, 1, 2, 1, 2, 6, 6, 10, 1, 10, 1, 2, 2, 6, 6, 1, 1, 2, 2, 5, 1, 6, 6, 2, 10, 6, 6, 2, 6, 1, 10, 2, 6, 2, 2, 6, 10, 2, 10, 10, 6, 6, 1, 6, 2, 2, 6, 2, 2, 4, 6, 10, 10, 2, 2, 1, 2, 2, 6, 2, 10, 2, 10, 1, 6, 6, 1, 10, 1, 10, 10, 2, 2, 1, 10, 2, 6, 2, 2, 10, 6, 10, 10, 6, 6, 2, 1, 10, 2, 6, 10, 5, 10, 10, 1, 1, 2, 6, 2, 2, 1, 2, 6, 1, 10, 2, 4, 2, 6, 6, 10, 2, 10, 4, 5, 2, 6, 2, 9, 2, 2, 2, 10, 2, 6, 2, 6, 6, 2, 10, 2, 1, 6, 1, 1, 6, 6, 1, 2, 2, 1, 2, 2, 6, 10, 6, 6, 1, 6, 6, 1, 6, 10, 1, 2, 1, 1, 6, 6, 10, 1, 1, 1, 10, 6, 0, 2, 5, 1, 10, 1, 1, 1, 1, 10, 1, 1, 10, 1, 1, 1, 1, 6, 6, 10, 6, 10, 2, 1, 10, 2, 2, 2, 1, 1, 10, 2, 2, 1, 6, 2, 1, 4, 1, 1, 10, 1, 2, 1, 1, 2, 2, 10, 1, 2, 2, 6, 6, 1, 1, 6, 2, 6, 4, 10, 6, 6, 10, 10, 2, 2, 1, 1, 4, 2, 6, 10, 2, 6, 6, 1, 1, 1, 2, 10, 1, 1, 1, 10, 2, 6, 6, 1, 6, 10, 10, 10, 1, 1, 6, 10, 6, 6, 10, 2, 6, 10, 10, 6, 2, 2, 6, 1, 1, 6, 1, 2, 10, 2, 10, 2, 6, 10, 1, 6, 6, 2, 10, 9, 6, 10, 10, 2, 10, 6, 2, 2, 10, 1, 10, 6, 2, 6, 1, 6, 2, 2, 10, 10, 10, 10, 1, 2, 6, 1, 1, 6, 2, 6, 6, 6, 1, 10, 6, 10, 2, 10, 2, 2, 2, 6, 1, 1, 6, 6, 2, 6, 1, 10, 0, 2, 6, 10, 6, 6, 1, 1, 10, 2, 10, 2, 2, 2, 6, 6, 10, 1, 4, 1, 6, 2, 2, 1, 2, 1, 6, 6, 6, 2, 10, 1, 2, 1, 6, 10, 1, 1, 2, 10, 10, 9, 1, 2, 5, 6, 2, 6, 6, 1, 2, 2, 2, 1, 1, 1, 6, 1, 2, 1, 10, 2, 6, 2, 1, 10, 2, 2, 0, 2, 2, 1, 10, 6, 10, 2, 6, 1, 2, 1, 10, 1, 6, 2, 6, 10, 6, 2, 1, 1, 6, 2, 2, 6, 4, 2, 2, 1, 6, 6, 6, 2, 2, 2, 9, 6, 2, 6, 10, 2, 1, 2, 1, 6, 6, 10, 6, 6, 6, 1, 6, 2, 2, 10, 2, 2, 6, 1, 6, 6, 1, 1, 6, 10, 1, 9, 1, 6, 2, 10, 2, 6, 6, 4, 2, 10, 6, 2, 6, 2, 1, 10, 2, 6, 6, 1, 1, 2, 2, 6, 6, 1, 6, 6, 4, 10, 2, 6, 6, 10, 2, 10, 4, 10, 1, 6, 1, 1, 10, 1, 10, 1, 2, 1, 6, 6, 1, 10, 1, 10, 2, 10, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 10, 10, 2, 1, 10, 10, 1, 10, 6, 2, 2, 10, 1, 2, 10, 2, 10, 1, 6, 1, 1, 10, 1, 10, 1, 1, 2, 2, 10, 1, 2, 2, 1, 6, 1, 10, 10, 2, 2, 2, 2, 10, 1, 10, 2, 1, 10, 2, 1, 2, 2, 10, 1, 1, 6, 1, 6, 1, 10, 2, 6, 6, 10, 1, 10, 6, 1, 6, 6, 10, 1, 10, 10, 10, 6, 6, 6, 6, 10, 1, 6, 6, 10, 2, 1, 1, 1, 1, 10, 1, 10, 10, 1, 6, 2, 6, 2, 6, 6, 10, 2, 1, 2, 10, 6, 6, 10, 2, 1, 6, 10, 1, 2, 1, 6, 10, 10, 10, 2, 10, 1, 6, 1, 6, 2, 1, 6, 2, 2, 6, 1, 1, 10, 2, 1, 2, 10, 1, 2, 1, 10, 1, 2, 10, 6, 10, 2, 10, 6, 6, 1, 6, 1, 2, 1, 1, 6, 10, 2, 6, 1, 6, 6, 1, 2, 2, 10, 6, 1, 1, 6, 10, 2, 1, 4, 1, 6, 10, 2, 5, 2, 2, 1, 2, 2, 6, 6, 0, 2, 2, 2, 10, 6, 10, 6, 10, 10, 10, 2, 10, 6, 6, 2, 6, 2, 10, 10, 1, 1, 2, 6, 10, 6, 1, 2, 6, 2, 6, 10, 6, 1, 6, 6, 1, 2, 2, 2, 0, 2, 2, 2, 2, 6, 10, 6, 1, 10, 10, 2, 10, 2, 1, 6, 2, 1, 9, 1, 1, 6, 10, 10, 1, 1, 6, 2, 10, 6, 6, 6, 1, 6, 1, 1, 10, 6, 6, 2, 1, 0, 2, 2, 5, 2, 1, 10, 2, 10, 1, 4, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 10, 6, 2, 2, 6, 5, 6, 1, 1, 1, 6, 1, 10, 1, 1, 6, 2, 1, 1, 1, 10, 1, 2, 6, 10, 1, 10, 0, 10, 6, 2, 2, 2, 1, 10, 10, 6, 6, 1, 1, 4, 2, 1, 2, 6, 10, 2, 0, 10, 1, 2, 2, 6, 10, 6, 10, 2, 10, 4, 1, 1, 10, 1, 2, 1, 2, 10, 1, 2, 2, 2, 2, 6, 2, 6, 1, 10, 9, 10, 10, 1, 6, 6, 2, 2, 1, 2, 6, 10, 10, 1, 10, 2, 6, 6, 1, 10, 2, 6, 10, 10, 6, 10, 2, 10, 6, 6, 10, 10, 6, 1, 2, 1, 1, 10, 6, 1, 1, 6, 1, 0, 2, 10, 2, 2, 6, 1, 2, 6, 2, 10, 2, 2, 10, 2, 1, 1, 10, 1, 1, 1, 2, 1, 10, 1, 2, 1, 2, 6, 10, 6, 6, 6, 1, 6, 1, 2, 2, 2, 10, 2, 2, 1, 10, 10, 2, 10, 1, 10, 10, 1, 10, 1, 10, 10, 10, 6, 6, 1, 10, 6, 6, 10, 6, 6, 2, 1, 6, 2, 6, 2, 6, 2, 10, 6, 10, 6, 1, 1, 10, 1, 2, 2, 6, 1, 4, 6, 2, 10, 1, 1, 1, 2, 2, 6, 6, 2, 10, 10, 10, 1, 4, 6, 6, 2, 6, 2, 1, 1, 10, 2, 1, 5, 1, 6, 10, 2, 10, 10, 1, 2, 9, 6, 6, 6, 4, 2, 1, 2, 6, 2, 50, 1, 1, 2, 6, 2, 1, 10, 10, 5, 1, 1, 6, 6, 6, 4, 1, 1, 6, 1, 2, 2, 6, 1, 10, 1, 0, 2, 6, 1, 1, 6, 1, 1, 1, 10, 1, 1, 2, 2, 10, 1, 10, 6, 1, 2, 10, 6, 1, 1, 1, 6, 2, 5, 1, 6, 2, 10, 2, 10, 1, 10, 1, 10, 10, 1, 6, 1, 10, 10, 10, 10, 10, 2, 9, 1, 10, 10, 1, 10, 1, 2, 1, 6, 2, 2, 2, 6, 10, 2, 10, 10, 6, 2, 6, 1, 2, 6, 10, 9, 10, 1, 2, 10, 2, 10, 10, 2, 2, 1, 6, 10, 1, 9, 6, 2, 1, 10, 10, 2, 1, 6, 10, 2, 1, 10, 6, 1, 1, 6, 2, 6, 1, 6, 10, 10, 2, 2, 2, 6, 1, 10, 1, 2, 1, 6, 6, 10, 6, 1, 6, 1, 6, 6, 2, 2, 10, 0, 6, 10, 2, 1, 10, 2, 10, 6, 1, 1, 10, 6, 1, 10, 6, 6, 2, 10, 6, 1, 10, 1, 10, 2, 10, 6, 1, 2, 2, 6, 4, 10, 1, 10, 10, 1, 6, 1, 10, 6, 6, 6, 6, 10, 2, 10, 10, 2, 10, 1, 1, 6, 10, 1, 1, 2, 2, 2, 6, 10, 1, 2, 6, 6, 2, 6, 10, 6, 1, 10, 6, 10, 10, 1, 1, 1, 10, 10, 6, 10, 50, 1, 6, 6, 1, 1, 10, 6, 2, 1, 10, 1, 2, 10, 10, 2, 1, 5, 1, 10, 1, 10, 2, 1, 6, 2, 2, 10, 2, 1, 10, 1, 6, 4, 1, 2, 1, 6, 10, 1, 6, 2, 6, 10, 1, 2, 2, 1, 6, 1, 1, 1, 10, 1, 10, 10, 6, 1, 4, 10, 10, 10, 10, 1, 1, 2, 2, 1, 1, 10, 10, 2, 6, 2, 1, 1, 2, 2, 1, 10, 10, 6, 6, 6, 1, 2, 1, 10, 6, 6, 6, 10, 10, 10, 1, 1, 1, 6, 1, 1, 2, 6, 2, 6, 1, 10, 2, 10, 2, 2, 2, 10, 2, 6, 5, 10, 10, 6, 10, 6, 1, 1, 2, 1, 10, 1, 1, 6, 6, 10, 2, 2, 10, 6, 10, 1, 2, 1, 1, 10, 2, 10, 2, 10, 1, 1, 6, 6, 2, 6, 2, 2, 6, 6, 2, 10, 9, 0, 0, 10, 1, 2, 2, 2, 6, 1, 1, 2, 6, 1, 2, 6, 10, 6, 1, 10, 10, 10, 2, 6, 6, 2, 10, 2, 10, 1, 1, 10, 10, 1, 10, 10, 1, 6, 6, 10, 10, 2, 6, 1, 2, 1, 10, 10, 2, 1, 9, 10, 10, 10, 1, 2, 1, 2, 10, 6, 10, 10, 10, 6, 10, 1, 6, 1, 10, 6, 2, 1, 6, 6, 10, 2, 6, 10, 10, 6, 10, 10, 2, 2, 0, 6, 10, 5, 1, 2, 1, 1, 6, 1, 10, 2, 6, 10, 1, 10, 10, 6, 2, 10, 1, 10, 2, 6, 10, 1, 2, 2, 6, 2, 6, 2, 10, 2, 6, 2, 10, 6, 6, 2, 6, 6, 2, 2, 10, 10, 10, 6, 10, 10, 1, 2, 2, 1, 1, 1, 1, 10, 6, 6, 10, 2, 1, 10, 2, 10, 2, 2, 10, 10, 1, 2, 2, 6, 10, 6, 1, 10, 10, 1, 1, 6, 10, 1, 2, 1, 5, 10, 6, 1, 2, 6, 2, 2, 2, 1, 10, 6, 6, 1, 10, 10, 6, 2, 6, 6, 6, 2, 1, 6, 1, 1, 6, 2, 10, 10, 10, 6, 2, 6, 2, 10, 1, 2, 5, 6, 2, 10, 1, 1, 10, 1, 1, 6, 6, 10, 1, 10, 10, 6, 2, 10, 10, 6, 1, 6, 6, 10, 0, 2, 2, 6, 1, 0, 2, 1, 10, 6, 1, 10, 1, 10, 10, 6, 2, 6, 4, 6, 10, 10, 2, 1, 2, 2, 2, 6, 4, 10, 10, 2, 6, 1, 1, 6, 1, 2, 10, 10, 1, 1, 1, 2, 1, 6, 2, 10, 2, 6, 10, 2, 6, 10, 1, 2, 10, 1, 2, 6, 10, 6, 1, 10, 6, 2, 2, 6, 2, 6, 2, 6, 2, 10, 6, 2, 1, 10, 2, 2, 6, 6, 6, 2, 6, 2, 1, 10, 2, 5, 1, 6, 2, 10, 2, 2, 10, 1, 2, 6, 1, 10, 6, 2, 10, 2, 6, 1, 1, 6, 0, 2, 10, 2, 6, 2, 10, 10, 2, 2, 1, 1, 6, 6, 2, 2, 10, 6, 6, 2, 2, 2, 6, 6, 1, 6, 10, 1, 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10, 6, 2, 6, 2, 6, 1, 1, 1, 10, 1, 1, 6, 10, 1, 2, 10, 1, 10, 6, 6, 2, 2, 1, 10, 6, 2, 2, 6, 1, 6, 6, 1, 2, 1, 1, 6, 6, 1, 1, 10, 10, 2, 2, 10, 2, 10, 2, 2, 6, 2, 10, 2, 10, 6, 10, 6, 6, 10, 10, 1, 10, 10, 1, 6, 1, 1, 1, 2, 2, 10, 2, 10, 6, 2, 0, 6, 10, 5, 10, 6, 2, 2, 2, 6, 10, 2, 1, 2, 1, 1, 2, 0, 1, 2, 6, 1, 1, 2, 1, 6, 1, 2, 10, 6, 2, 2, 6, 6, 6, 10, 1, 10, 6, 6, 10, 2, 6, 2, 1, 1, 1, 1, 10, 6, 9, 9, 6, 60, 6, 1, 2, 1, 10, 6, 6, 2, 6, 1, 10, 2, 1, 6, 6, 6, 10, 2, 2, 10, 6, 10, 1, 10, 2, 10, 1, 10, 2, 2, 1, 2, 1, 10, 6, 6, 10, 6, 2, 2, 10, 1, 6, 2, 1, 4, 2, 1, 2, 10, 6, 1, 2, 10, 2, 6, 1, 6, 6, 2, 1, 2, 6, 1, 10, 10, 2, 6, 6, 2, 1, 1, 5, 9, 1, 10, 10, 6, 10, 1, 6, 10, 2, 10, 6, 2, 6, 2, 2, 5, 10, 6, 6, 6, 2, 2, 1, 6, 10, 1, 1, 10, 10, 10, 1, 6, 1, 6, 2, 6, 1, 6, 6, 2, 1, 1, 10, 2, 1, 10, 2, 2, 6, 6, 1, 2, 6, 2, 10, 6, 10, 6, 10, 10, 10, 10, 2, 2, 1, 1, 6, 10, 1, 1, 6, 6, 2, 2, 1, 6, 1, 10, 2, 10, 1, 6, 6, 6, 10, 10, 10, 10, 10, 10, 6, 10, 2, 6, 6, 10, 2, 2, 10, 1, 10, 10, 10, 2, 10, 2, 2, 0, 10, 2, 2, 2, 1, 10, 10, 6, 10, 10, 1, 1, 10, 10, 2, 10, 1, 0, 10, 10, 2, 2, 1, 1, 2, 2, 2, 4, 6, 1, 2, 10, 6, 1, 1, 2, 6, 6, 10, 6, 6, 6, 6, 2, 6, 2, 2, 2, 1, 2, 10, 2, 6, 2, 10, 6, 10, 1, 2, 1, 6, 6, 1, 1, 10, 2, 10, 2, 10, 10, 10, 10, 2, 6, 10, 10, 6, 1, 6, 1, 10, 2, 2, 10, 1, 10, 2, 10, 10, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 6, 2, 2, 10, 6, 1, 2, 10, 2, 5, 2, 1, 1, 1, 10, 6, 1, 6, 6, 10, 2, 1, 1, 6, 1, 1, 2, 5, 2, 2, 6, 10, 2, 1, 10, 2, 10, 10, 2, 10, 1, 2, 6, 1, 1, 6, 2, 1, 2, 6, 1, 1, 1, 1, 2, 1, 2, 1, 10, 6, 10, 6, 10, 6, 2, 10, 10, 10, 2, 2, 6, 6, 5, 2, 6, 1, 2, 10, 9, 2, 2, 6, 1, 10, 2, 6, 6, 6, 6, 2, 1, 1, 6, 6, 10, 2, 10, 6, 6, 2, 10, 6, 1, 2, 10, 6, 2, 10, 9, 6, 2, 6, 10, 1, 10, 1, 6, 1, 1, 10, 1, 1, 10, 1, 6, 2, 6, 10, 2, 10, 10, 2, 2, 1, 10, 6, 6, 2, 6, 1, 6, 1, 2, 10, 10, 1, 6, 1, 10, 6, 2, 1, 6, 2, 10, 4, 10, 6, 6, 1, 2, 2, 2, 10, 10, 10, 2, 6, 1, 2, 6, 1, 2, 6, 6, 2, 10, 6, 1, 6, 10, 2, 10, 10, 6, 10, 2, 10, 6, 6, 1, 6, 2, 1, 2, 6, 6, 6, 2, 1, 1, 6, 9, 2, 1, 10, 6, 10, 10, 1, 10, 6, 10, 3, 6, 1, 1, 2, 2, 6, 2, 1, 10, 2, 10, 6, 2, 10, 6, 6, 6, 10, 2, 6, 6, 2, 6, 2, 10, 1, 10, 1, 9, 1, 10, 2, 6, 6, 1, 2, 1, 1, 10, 10, 2, 5, 6, 9, 1, 10, 6, 6, 2, 2, 1, 6, 1, 10, 6, 10, 1, 10, 6, 1, 1, 1, 6, 6, 10, 10, 6, 1, 2, 10, 1, 2, 2, 6, 2, 1, 10, 1, 6, 6, 10, 10, 6, 10, 6, 10, 1, 10, 10, 1, 2, 2, 2, 4, 6, 10, 6, 2, 1, 10, 2, 2, 1, 1, 10, 6, 10, 2, 10, 1, 2, 1, 1, 1, 1, 2, 1, 10, 6, 2, 2, 6, 2, 10, 6, 10, 2, 2, 10, 2, 6, 2, 2, 6, 10, 6, 10, 1, 2, 1, 10, 10, 2, 10, 10, 2, 10, 10, 10, 1, 6, 2, 2, 1, 1, 2, 2, 2, 1, 6, 1, 6, 10, 10, 10, 10, 6, 1, 1, 2, 10, 1, 1, 10, 50, 0, 6, 10, 10, 1, 2, 10, 10, 6, 6, 2, 1, 2, 10, 1, 10, 2, 10, 1, 1, 10, 2, 10, 10, 10, 10, 2, 2, 10, 10, 6, 1, 1, 2, 6, 10, 6, 10, 6, 10, 1, 2, 10, 1, 6, 2, 2, 1, 2, 6, 1, 6, 2, 2, 2, 6, 1, 10, 6, 2, 10, 6, 2, 10, 1, 10, 2, 10, 2, 6, 10, 6, 2, 10, 6, 10, 2, 10, 1, 6, 10, 1, 2, 1, 10, 2, 6, 10, 1, 2, 2, 10, 2, 6, 10, 10, 6, 6, 2, 10, 10, 6, 6, 6, 2, 1, 2, 4, 2, 10, 2, 6, 10, 6, 10, 10, 2, 1, 6, 10, 10, 1, 1, 1, 6, 6, 2, 10, 10, 6, 6, 2, 1, 10, 1, 1, 6, 6, 6, 6, 10, 1, 2, 2, 2, 6, 10, 4, 10, 1, 10, 6, 1, 10, 6, 1, 10, 1, 10, 2, 2, 1, 6, 6, 1, 6, 6, 10, 10, 4, 1, 1, 6, 2, 2, 2, 6, 10, 10, 1, 6, 2, 1, 1, 10, 10, 2, 10, 2, 1, 1, 2, 10, 10, 2, 2, 9, 6, 5, 1, 1, 2, 10, 6, 10, 2, 2, 6, 2, 6, 6, 10, 2, 1, 6, 1, 6, 2, 2, 10, 4, 1, 10, 10, 6, 2, 10, 1, 10, 6, 10, 6, 6, 2, 1, 10, 2, 2, 1, 1, 6, 2, 10, 2, 2, 2, 1, 10, 10, 6, 6, 2, 10, 6, 10, 2, 2, 2, 10, 6, 2, 6, 2, 6, 2, 6, 1, 10, 10, 10, 10, 6, 2, 2, 2, 10, 2, 2, 6, 1, 6, 1, 6, 6, 10, 6, 2, 1, 1, 1, 1, 1, 1, 1, 2, 10, 2, 5, 1, 6, 6, 1, 1, 10, 2, 2, 2, 10, 10, 10, 10, 10, 2, 2, 1, 0, 2, 2, 6, 10, 6, 2, 1, 10, 2, 6, 2, 1, 2, 6, 2, 1, 6, 2, 10, 10, 10, 6, 1, 1, 1, 1, 1, 2, 10, 2, 10, 1, 10, 10, 1, 2, 10, 6, 6, 1, 4, 2, 2, 2, 2, 10, 2, 1, 10, 6, 10, 6, 2, 1, 1, 10, 10, 10, 2, 10, 6, 6, 1, 10, 1, 1, 1, 10, 10, 10, 10, 1, 1, 6, 10, 1, 6, 10, 10, 1, 1, 1, 6, 1, 1, 6, 2, 10, 10, 10, 6, 6, 10, 10, 10, 1, 1, 10, 6, 6, 1, 10, 10, 10, 2, 10, 1, 1, 0, 2, 6, 6, 10, 1, 1, 6, 2, 10, 2, 10, 2, 6, 2, 2, 10, 6, 6, 10, 0, 5, 6, 6, 2, 1, 6, 10, 2, 10, 6, 10, 2, 6, 6, 6, 2, 6, 10, 1, 10, 10, 2, 2, 10, 5, 6, 6, 2, 1, 1, 2, 1, 1, 2, 2, 10, 10, 6, 10, 4, 6, 6, 6, 2, 1, 1, 6, 2, 2, 10, 1, 2, 1, 2, 6, 2, 6, 6, 1, 1, 10, 6, 6, 1, 2, 10, 2, 1, 1, 2, 2, 1, 6, 10, 6, 2, 6, 10, 6, 1, 1, 6, 2, 6, 6, 10, 1, 2, 2, 1, 2, 2, 6, 1, 10, 2, 1, 6, 6, 2, 2, 1, 6, 2, 0, 10, 1, 4, 10, 2, 10, 1, 10, 6, 1, 2, 1, 1, 2, 2, 6, 10, 1, 10, 1, 6, 2, 1, 10, 1, 6, 6, 1, 1, 10, 10, 1, 1, 2, 2, 1, 10, 6, 6, 10, 10, 2, 1, 6, 1, 10, 2, 1, 10, 6, 6, 6, 6, 6, 2, 1, 6, 1, 2, 6, 10, 2, 2, 10, 10, 6, 6, 2, 6, 1, 6, 10, 10, 1, 10, 6, 10, 1, 1, 10, 10, 2, 10, 0, 2, 10, 10, 6, 6, 10, 6, 10, 2, 9, 1, 1, 10, 10, 10, 2, 1, 6, 10, 2, 10, 6, 6, 10, 10, 6, 10, 4, 1, 6, 10, 2, 2, 10, 10, 6, 2, 10, 1, 6, 1, 10, 10, 4, 6, 2, 10, 2, 2, 1, 10, 2, 2, 1, 6, 6, 2, 6, 10, 10, 2, 2, 10, 6, 10, 10, 10, 10, 10, 6, 1, 1, 1, 1, 6, 1, 1, 2, 1, 2, 6, 2, 10, 1, 1, 6, 10, 6, 2, 6, 6, 10, 6, 2, 2, 1, 2, 6, 6, 6, 10, 10, 1, 2, 1, 6, 10, 2, 6, 2, 6, 2, 10, 6, 1, 2, 1, 6, 10, 6, 6, 6, 6, 10, 2, 6, 6, 2, 1, 1, 10, 6, 6, 6, 6, 2, 6, 6, 6, 10, 0, 1, 10, 6, 1, 6, 6, 1, 10, 10, 2, 2, 1, 2, 10, 2, 10, 2, 10, 6, 10, 2, 2, 2, 2, 1, 2, 10, 1, 10, 1, 2, 10, 2, 1, 2, 10, 6, 10, 6, 2, 10, 1, 10, 6, 10, 10, 2, 2, 10, 10, 10, 10, 1, 10, 0, 2, 10, 10, 1, 6, 1, 10, 2, 6, 6, 1, 6, 4, 6, 1, 1, 10, 9, 2, 1, 1, 1, 2, 2, 1, 10, 1, 6, 9, 1, 10, 2, 1, 1, 6, 1, 10, 1, 10, 2, 2, 1, 6, 2, 6, 6, 4, 2, 10, 6, 10, 6, 2, 6, 6, 2, 1, 1, 10, 6, 1, 2, 1, 10, 1, 1, 1, 2, 1, 9, 10, 1, 6, 1, 1, 6, 6, 6, 10, 2, 6, 6, 10, 1, 2, 10, 2, 6, 6, 10, 10, 6, 6, 6, 6, 1, 10, 6, 2, 2, 2, 6, 6, 2, 1, 10, 6, 6, 2, 2, 10, 2, 1, 1, 10, 1, 2, 2, 6, 10, 10, 2, 2, 6, 2, 6, 2, 1, 10, 6, 1, 2, 1, 1, 2, 10, 1, 1, 6, 6, 10, 1, 10, 6, 1, 6, 2, 1, 1, 10, 1, 6, 6, 1, 10, 10, 1, 2, 1, 10, 1, 6, 6, 1, 2, 10, 10, 6, 6, 2, 1, 2, 1, 6, 2, 1, 10, 6, 6, 2, 1, 1, 10, 1, 2, 10, 1, 6, 1, 10, 1, 10, 6, 2, 2, 1, 10, 2, 2, 1, 1, 6, 6, 10, 6, 10, 6, 6, 1, 10, 2, 10, 1, 2, 1, 6, 0, 1, 2, 10, 1, 6, 9, 10, 10, 10, 2, 6, 4, 2, 1, 1, 10, 1, 6, 10, 10, 10, 10, 6, 6, 10, 1, 10, 6, 1, 6, 2, 6, 10, 1, 2, 2, 2, 1, 2, 6, 2, 2, 10, 6, 1, 1, 1, 6, 6, 10, 1, 2, 10, 2, 6, 1, 6, 6, 2, 1, 6, 6, 10, 6, 10, 6, 10, 1, 6, 2, 10, 6, 2, 1, 10, 1, 2, 2, 2, 6, 6, 6, 10, 2, 2, 1, 2, 6, 1, 1, 10, 2, 6, 6, 2, 6, 1, 1, 6, 2, 1, 1, 2, 1, 4, 2, 2, 10, 10, 1, 1, 2, 1, 6, 2, 9, 2, 6, 6, 6, 1, 6, 2, 10, 1, 1, 10, 2, 1, 1, 6, 1, 6, 2, 1, 2, 6, 6, 10, 2, 6, 0, 6, 6, 2, 2, 1, 10, 6, 10, 2, 2, 1, 2, 1, 2, 1, 2, 6, 6, 2, 6, 2, 10, 2, 10, 2, 1, 10, 2, 6, 2, 2, 10, 10, 6, 1, 1, 10, 10, 10, 6, 1, 2, 10, 1, 10, 2, 1, 10, 6, 10, 1, 6, 2, 10, 2, 2, 6, 1, 2, 6, 2, 1, 1, 2, 1, 2, 1, 6, 10, 10, 1, 6, 1, 6, 2, 1, 1, 10, 1, 4, 2, 10, 6, 6, 6, 2, 1, 1, 2, 2, 2, 6, 10, 1, 9, 2, 10, 10, 1, 2, 2, 6, 2, 10, 2, 1, 10, 1, 1, 10, 6, 2, 1, 1, 2, 2, 9, 10, 6, 10, 10, 2, 1, 10, 6, 1, 6, 10, 1, 6, 1, 1, 1, 6, 2, 1, 10, 10, 6, 6, 1, 10, 1, 6, 6, 1, 2, 1, 6, 6, 2, 1, 2, 1, 2, 1, 10, 2, 1, 6, 2, 1, 6, 1, 10, 10, 2, 1, 1, 1, 1, 2, 6, 10, 1, 2, 6, 1, 1, 1, 1, 1, 1, 2, 1, 4, 10, 6, 2, 2, 6, 6, 10, 1, 2, 10, 1, 1, 10, 6, 10, 1, 6, 6, 1, 6, 10, 10, 2, 2, 1, 10, 6, 10, 10, 2, 10, 1, 10, 1, 10, 10, 6, 1, 10, 2, 10, 2, 2, 10, 10, 1, 1, 6, 10, 10, 6, 6, 6, 6, 2, 6, 5, 1, 1, 6, 10, 1, 6, 10, 2, 10, 2, 5, 1, 6, 10, 2, 6, 10, 6, 10, 6, 1, 6, 1, 10, 2, 10, 1, 2, 10, 6, 2, 6, 1, 5, 2, 1, 2, 1, 2, 2, 2, 1, 10, 10, 6, 9, 2, 2, 2, 2, 2, 6, 4, 2, 6, 2, 2, 10, 1, 2, 2, 1, 2, 6, 6, 6, 6, 10, 6, 1, 2, 1, 10, 2, 6, 2, 6, 6, 2, 9, 2, 10, 1, 1, 6, 6, 2, 6, 10, 1, 10, 2, 6, 1, 10, 1, 9, 10, 2, 6, 2, 6, 1, 1, 1, 1, 2, 6, 2, 10, 2, 1, 5, 6, 1, 2, 2, 6, 10, 6, 10, 1, 2, 1, 6, 2, 1, 2, 6, 0, 10, 6, 10, 6, 10, 2, 6, 1, 2, 1, 2, 2, 2, 5, 2, 10, 1, 6, 10, 1, 10, 6, 10, 6, 6, 2, 2, 6, 2, 10, 6, 1, 2, 10, 2, 2, 6, 6, 1, 6, 6, 2, 1, 6, 2, 1, 2, 4, 2, 1, 1, 6, 2, 6, 2, 6, 2, 10, 1, 6, 2, 10, 6, 1, 2, 1, 1, 1, 1, 2, 6, 6, 10, 2, 1, 1, 1, 10, 2, 1, 6, 6, 10, 10, 1, 2, 10, 6, 10, 10, 0, 2, 1, 2, 2, 6, 2, 10, 2, 1, 2, 6, 1, 6, 10, 6, 10, 6, 2, 10, 1, 1, 1, 9, 10, 2, 2, 2, 10, 10, 2, 6, 6, 6, 10, 1, 2, 1, 4, 1, 6, 10, 10, 6, 6, 10, 10, 2, 1, 1, 2, 10, 1, 2, 1, 2, 2, 10, 1, 1, 1, 2, 2, 6, 10, 1, 2, 6, 1, 2, 1, 2, 6, 10, 6, 10, 2, 6, 10, 1, 1, 10, 10, 10, 10, 10, 2, 1, 10, 6, 6, 1, 2, 10, 6, 2, 2, 6, 1, 6, 6, 1, 1, 6, 6, 2, 2, 0, 9, 1, 6, 2, 1, 6, 10, 6, 10, 6, 10, 6, 2, 10, 6, 10, 1, 1, 1, 6, 1, 10, 10, 10, 10, 6, 1, 1, 1, 10, 6, 10, 1, 2, 10, 6, 6, 6, 0, 2, 9, 10, 1, 1, 2, 2, 6, 1, 10, 6, 5, 1, 2, 1, 6, 2, 2, 10, 1, 6, 6, 1, 6, 1, 10, 1, 1, 10, 1, 1, 2, 1, 1, 2, 6, 1, 1, 1, 6, 6, 2, 5, 6, 2, 6, 6, 10, 10, 1, 10, 1, 10, 1, 10, 2, 2, 6, 10, 6, 10, 6, 10, 2, 10, 1, 1, 2, 1, 1, 1, 1, 2, 1, 6, 10, 2, 10, 6, 10, 6, 2, 2, 1, 6, 2, 10, 2, 6, 6, 10, 6, 10, 10, 10, 2, 1, 10, 6, 6, 6, 10, 1, 10, 1, 10, 2, 6, 1, 1, 1, 2, 1, 6, 6, 6, 2, 10, 6, 1, 10, 2, 2, 2, 1, 1, 6, 10, 1, 10, 2, 6, 1, 10, 10, 1, 10, 6, 6, 1, 10, 6, 10, 6, 2, 1, 1, 2, 6, 1, 6, 9, 10, 10, 1, 10, 6, 6, 6, 6, 6, 10, 2, 6, 10, 2, 1, 6, 1, 2, 10, 10, 10, 2, 6, 10, 1, 2, 10, 1, 1, 2, 1, 2, 2, 2, 2, 2, 6, 6, 4, 10, 6, 1, 6, 10, 6, 10, 2, 10, 10, 10, 1, 2, 6, 6, 6, 6, 6, 10, 1, 2, 2, 6, 1, 9, 1, 2, 10, 2, 2, 1, 2, 6, 1, 1, 1, 1, 2, 1, 6, 1, 1, 2, 6, 2, 6, 2, 10, 1, 6, 1, 10, 6, 1, 10, 1, 2, 10, 1, 2, 6, 6, 2, 10, 1, 1, 2, 10, 6, 2, 6, 2, 2, 2, 2, 6, 2, 2, 2, 10, 3, 2, 10, 10, 6, 6, 1, 1, 10, 10, 10, 6, 6, 2, 2, 6, 6, 1, 2, 10, 2, 2, 6, 2, 10, 6, 1, 6, 1, 6, 6, 6, 6, 6, 10, 5, 2, 6, 6, 2, 6, 10, 1, 10, 6, 10, 1, 6, 2, 6, 4, 10, 6, 6, 2, 6, 2, 6, 6, 10, 10, 6, 1, 10, 6, 6, 5, 1, 2, 1, 10, 1, 1, 10, 2, 2, 2, 2, 6, 10, 1, 10, 6, 6, 6, 1, 10, 10, 1, 1, 0, 1, 6, 1, 10, 1, 2, 10, 1, 10, 10, 10, 1, 6, 1, 6, 1, 1, 6, 6, 1, 6, 1, 1, 0, 6, 10, 1, 10, 2, 10, 1, 6, 10, 10, 6, 10, 1, 1, 10, 6, 1, 10, 1, 1, 10, 6, 10, 1, 10, 1, 6, 6, 1, 10, 2, 10, 6, 1, 6, 10, 6, 2, 1, 10, 10, 2, 10, 10, 10, 1, 1, 1, 6, 6, 6, 2, 6, 6, 10, 2, 6, 2, 2, 2, 10, 2, 10, 6, 6, 1, 6, 6, 2, 10, 1, 10, 2, 6, 2, 6, 1, 1, 10, 6, 1, 10, 6, 2, 1, 2, 6, 1, 2, 6, 6, 1, 6, 6, 6, 2, 2, 1, 10, 2, 10, 2, 2, 1, 6, 10, 1, 6, 1, 6, 6, 10, 1, 1, 10, 1, 6, 10, 10, 10, 10, 2, 2, 10, 1, 1, 2, 1, 6, 10, 10, 6, 10, 2, 6, 10, 10, 1, 2, 5, 6, 1, 6, 10, 2, 1, 10, 6, 2, 10, 10, 2, 6, 1, 10, 10, 2, 6, 2, 1, 10, 2, 10, 1, 2, 2, 6, 1, 1, 2, 2, 2, 6, 1, 10, 2, 10, 6, 1, 2, 10, 2, 2, 1, 10, 10, 6, 2, 4, 2, 1, 6, 10, 6, 10, 6, 2, 10, 10, 2, 10, 2, 2, 1, 1, 1, 2, 2, 2, 6, 6, 2, 6, 2, 6, 2, 2, 1, 10, 2, 1, 10, 10, 2, 1, 1, 6, 1, 2, 1, 10, 1, 1, 5, 6, 10, 10, 2, 1, 10, 1, 2, 1, 6, 1, 6, 1, 6, 1, 1, 10, 10, 1, 1, 1, 1, 2, 10, 10, 1, 1, 6, 6, 10, 2, 10, 2, 1, 1, 1, 10, 6, 2, 1, 10, 2, 1, 1, 1, 10, 10, 2, 2, 6, 10, 10, 1, 10, 10, 6, 2, 10, 10, 1, 1, 2, 10, 1, 2, 10, 2, 6, 10, 10, 6, 10, 10, 1, 2, 2, 2, 10, 6, 2, 6, 1, 10, 10, 10, 10, 1, 10, 2, 6, 0, 6, 6, 6, 10, 10, 1, 6, 4, 6, 2, 6, 2, 1, 9, 6, 1, 1, 10, 2, 10, 1, 10, 6, 2, 1, 6, 1, 10, 10, 10, 6, 1, 4, 10, 0, 1, 6, 1, 1, 2, 10, 2, 2, 2, 6, 1, 10, 1, 10, 6, 2, 1, 6, 6, 10, 2, 2, 2, 2, 2, 10, 2, 1, 1, 10, 1, 6, 10, 2, 1, 1, 1, 6, 2, 6, 6, 6, 10, 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2, 1, 2, 6, 2, 6, 6, 6, 6, 6, 10, 2, 6, 6, 1, 6, 6, 6, 2, 6, 10, 2, 2, 6, 1, 10, 10, 10, 6, 2, 6, 6, 2, 1, 10, 10, 6, 2, 2, 1, 6, 10, 10, 1, 2, 6, 10, 6, 1, 2, 10, 1, 10, 2, 10, 10, 1, 2, 10, 1, 10, 2, 2, 2, 2, 6, 6, 10, 6, 2, 6, 2, 0, 10, 2, 2, 1, 10, 6, 6, 6, 2, 10, 6, 10, 10, 6, 6, 2, 10, 1, 1, 2, 6, 2, 10, 1, 1, 10, 1, 0, 6, 1, 1, 6, 6, 6, 10, 6, 6, 9, 10, 6, 1, 10, 1, 2, 10, 6, 2, 1, 1, 10, 10, 1, 6, 6, 2, 1, 10, 6, 6, 2, 1, 1, 2, 2, 1, 1, 10, 6, 6, 6, 2, 1, 1, 2, 1, 9, 1, 10, 9, 6, 1, 2, 2, 1, 2, 1, 10, 2, 6, 6, 10, 10, 2, 2, 2, 6, 6, 1, 1, 1, 10, 4, 6, 6, 1, 10, 2, 10, 6, 2, 1, 1, 4, 1, 6, 1, 6, 1, 1, 10, 6, 1, 10, 2, 1, 6, 2, 6, 6, 6, 10, 0, 2, 2, 1, 1, 9, 10, 6, 6, 10, 6, 2, 2, 2, 1, 2, 2, 2, 10, 1, 6, 6, 2, 6, 2, 2, 1, 1, 10, 10, 10, 10, 6, 2, 1, 6, 1, 6, 6, 2, 2, 2, 2, 1, 2, 10, 10, 10, 6, 6, 2, 6, 2, 5, 2, 1, 10, 6, 10, 6, 2, 10, 1, 2, 10, 10, 6, 10, 6, 2, 2, 2, 6, 1, 10, 2, 1, 6, 2, 6, 6, 9, 6, 6, 10, 2, 10, 2, 6, 2, 1, 2, 1, 2, 2, 1, 6, 10, 1, 6, 10, 6, 10, 10, 1, 10, 6, 10, 9, 2, 1, 6, 10, 1, 2, 6, 2, 1, 6, 2, 2, 2, 10, 10, 2, 10, 10, 1, 1, 2, 1, 2, 10, 1, 6, 6, 6, 1, 2, 4, 1, 2, 10, 1, 6, 1, 6, 10, 1, 10, 10, 1, 1, 1, 1, 6, 2, 9, 10, 6, 10, 6, 1, 6, 6, 10, 2, 2, 10, 2, 10, 2, 1, 1, 6, 10, 1, 1, 1, 2, 10, 4, 2, 1, 6, 6, 6, 6, 2, 1, 2, 6, 10, 10, 10, 6, 6, 1, 1, 1, 6, 6, 2, 1, 1, 10, 6, 2, 1, 2, 6, 10, 2, 1, 6, 1, 6, 2, 1, 2, 9, 10, 2, 2, 10, 1, 2, 1, 2, 1, 9, 2, 2, 2, 10, 2, 2, 10, 10, 10, 10, 2, 6, 6, 10, 10, 2, 10, 6, 2, 6, 10, 1, 10, 1, 1, 1, 2, 10, 1, 1, 1, 2, 1, 2, 2, 10, 10, 2, 1, 6, 1, 6, 1, 10, 6, 10, 1, 2, 10, 10, 1, 6, 10, 2, 6, 2, 1, 10, 1, 6, 10, 10, 2, 1, 2, 6, 1, 2, 6, 1, 5, 1, 1, 0, 1, 2, 6, 6, 1, 2, 6, 10, 1, 6, 10, 1, 6, 1, 2, 10, 10, 2, 10, 2, 2, 6, 2, 4, 6, 2, 6, 2, 10, 2, 1, 1, 10, 1, 2, 2, 6, 10, 10, 10, 1, 2, 2, 1, 1, 1, 1, 6, 1, 1, 2, 1, 4, 1, 6, 10, 1, 1, 10, 1, 10, 2, 6, 1, 6, 6, 6, 2, 5, 1, 6, 6, 2, 1, 10, 10, 6, 6, 1, 2, 10, 6, 10, 9, 2, 2, 2, 6, 2, 10, 6, 6, 10, 1, 1, 2, 10, 1, 2, 10, 1, 10, 2, 10, 10, 1, 10, 4, 6, 10, 1, 10, 1, 2, 10, 2, 10, 10, 1, 10, 6, 2, 6, 6, 10, 1, 2, 2, 1, 6, 2, 6, 10, 10, 2, 2, 2, 10, 2, 10, 2, 2, 10, 2, 1, 2, 2, 6, 1, 10, 1, 1, 1, 6, 6, 2, 6, 2, 2, 1, 1, 6, 6, 10, 1, 0, 6, 2, 10, 6, 2, 6, 1, 6, 6, 2, 1, 10, 6, 6, 2, 1, 6, 1, 10, 2, 2, 2, 1, 6, 2, 10, 10, 6, 10, 1, 6, 2, 2, 1, 6, 1, 6, 10, 1, 10, 1, 10, 6, 1, 2, 6, 6, 1, 10, 10, 10, 1, 10, 10, 6, 6, 10, 2, 6, 10, 6, 2, 6, 10, 6, 1, 10, 10, 2, 1, 10, 10, 2, 1, 10, 1, 6, 1, 1, 2, 2, 2, 6, 2, 10, 10, 1, 1, 1, 10, 2, 6, 10, 6, 2, 1, 10, 1, 2, 6, 4, 2, 1, 1, 6, 2, 6, 1, 10, 1, 1, 2, 2, 9, 1, 6, 2, 1, 6, 6, 10, 5, 10, 6, 1, 6, 6, 1, 1, 10, 6, 10, 6, 2, 9, 2, 2, 6, 2, 6, 6, 1, 6, 10, 10, 6, 6, 2, 10, 2, 1, 6, 10, 2, 2, 1, 10, 10, 1, 1, 10, 10, 4, 2, 10, 6, 6, 2, 1, 10, 10, 1, 2, 1, 6, 10, 6, 2, 10, 6, 10, 6, 1, 10, 2, 10, 6, 6, 1, 1, 6, 2, 6, 2, 5, 10, 1, 6, 2, 6, 6, 2, 2, 1, 1, 4, 2, 1, 2, 10, 10, 1, 10, 10, 2, 0, 6, 6, 1, 1, 2, 1, 2, 10, 2, 1, 1, 6, 2, 6, 6, 10, 6, 6, 10, 1, 2, 2, 10, 2, 6, 9, 2, 2, 2, 10, 10, 1, 1, 6, 6, 6, 2, 2, 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1, 10, 1, 2, 10, 1, 10, 2, 10, 10, 2, 10, 2, 2, 1, 6, 6, 1, 1, 2, 6, 6, 6, 6, 2, 6, 1, 10, 1, 6, 6, 10, 1, 1, 6, 1, 1, 2, 2, 1, 0, 1, 2, 10, 2, 2, 6, 6, 3, 1, 1, 2, 10, 2, 6, 10, 6, 1, 10, 6, 6, 1, 1, 1, 10, 2, 1, 6, 6, 1, 6, 6, 2, 6, 1, 1, 1, 10, 1, 1, 10, 1, 2, 6, 2, 1, 3, 2, 6, 10, 1, 6, 10, 10, 1, 1, 9, 6, 6, 2, 6, 10, 2, 10, 2, 2, 10, 1, 10, 1, 1, 6, 10, 10, 1, 10, 2, 6, 6, 2, 2, 1, 2, 5, 1, 10, 6, 1, 4, 10, 6, 6, 6, 10, 1, 6, 6, 6, 1, 4, 10, 6, 1, 10, 10, 10, 2, 1, 2, 2, 10, 6, 1, 10, 10, 10, 10, 6, 2, 6, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 6, 2, 2, 6, 1, 2, 10, 6, 6, 6, 1, 1, 10, 1, 1, 4, 1, 1, 1, 6, 1, 6, 6, 10, 10, 10, 6, 60, 2, 6, 6, 10, 2, 2, 10, 1, 1, 1, 6, 2, 1, 2, 1, 10, 2, 2, 6, 2, 2, 10, 1, 2, 10, 4, 10, 6, 6, 10, 2, 6, 6, 1, 10, 10, 1, 1, 10, 2, 2, 10, 6, 1, 1, 10, 6, 10, 6, 6, 1, 6, 10, 2, 2, 10, 1, 1, 1, 6, 1, 10, 2, 10, 10, 10, 1, 10, 6, 10, 2, 2, 10, 6, 6, 2, 10, 2, 1, 10, 2, 6, 6, 10, 10, 1, 6, 6, 1, 1, 2, 1, 10, 6, 1, 2, 6, 1, 6, 10, 2, 10, 2, 1, 2, 6, 2, 6, 10, 10, 1, 2, 4, 1, 1, 1, 10, 2, 10, 10, 2, 6, 10, 6, 9, 2, 10, 6, 1, 2, 2, 2, 10, 10, 1, 6, 1, 2, 1, 2, 6, 10, 4, 2, 10, 10, 6, 6, 1, 1, 1, 10, 1, 2, 6, 1, 10, 1, 0, 1, 1, 6, 1, 2, 10, 1, 2, 9, 5, 6, 10, 10, 2, 6, 2, 6, 1, 2, 10, 1, 10, 2, 10, 10, 2, 6, 1, 10, 1, 1, 9, 1, 2, 6, 6, 10, 6, 1, 6, 1, 1, 10, 2, 2, 2, 2, 6, 6, 2, 2, 6, 1, 6, 2, 6, 2, 2, 10, 2, 2, 1, 10, 2, 10, 1, 2, 6, 6, 6, 1, 1, 2, 1, 2, 1, 1, 1, 1, 10, 2, 10, 10, 2, 1, 2, 10, 1, 1, 2, 10, 6, 2, 6, 10, 2, 10, 1, 6, 2, 2, 2, 2, 6, 6, 10, 10, 2, 10, 1, 1, 1, 2, 1, 10, 2, 6, 10, 1, 9, 1, 1, 2, 1, 6, 6, 0, 1, 2, 2, 2, 9, 10, 2, 6, 6, 6, 10, 10, 2, 1, 10, 6, 10, 1, 2, 6, 1, 2, 1, 2, 1, 10, 6, 6, 2, 2, 10, 6, 10, 1, 2, 2, 10, 10, 6, 2, 0, 6, 3, 10, 10, 6, 1, 1, 6, 6, 10, 10, 1, 10, 10, 10, 6, 5, 1, 10, 1, 1, 1, 6, 6, 10, 1, 6, 2, 2, 10, 1, 2, 6, 10, 1, 10, 1, 10, 10, 10, 2, 1, 10, 10, 6, 10, 1, 1, 2, 10, 10, 1, 6, 1, 6, 1, 2, 2, 9, 2, 10, 6, 6, 2, 6, 1, 2, 6, 1, 1, 1, 6, 10, 10, 10, 10, 6, 1, 6, 2, 6, 1, 1, 2, 6, 1, 2, 10, 10, 1, 2, 10, 10, 6, 6, 10, 6, 2, 10, 10, 10, 1, 5, 2, 6, 10, 1, 10, 10, 1, 6, 2, 2, 1, 1, 1, 2, 6, 1, 10, 2, 10, 6, 6, 60, 1, 2, 2, 10, 2, 6, 9, 2, 2, 2, 10, 2, 10, 6, 1, 6, 1, 2, 6, 10, 1, 2, 10, 6, 1, 6, 1, 6, 10, 2, 2, 10, 1, 6, 2, 2, 5, 1, 2, 1, 10, 10, 2, 2, 5, 2, 10, 2, 2, 1, 2, 2, 6, 10, 1, 1, 6, 10, 2, 2, 2, 10, 1, 6, 4, 2, 2, 6, 10, 10, 1, 9, 10, 2, 1, 10, 1, 2, 6, 2, 10, 6, 6, 1, 2, 6, 6, 2, 2, 6, 10, 6, 6, 6, 1, 10, 2, 1, 4, 6, 2, 6, 1, 6, 1, 6, 1, 1, 9, 2, 2, 1, 6, 2, 2, 1, 2, 1, 10, 2, 10, 10, 2, 1, 6, 10, 6, 1, 10, 2, 1, 2, 1, 6, 2, 1, 1, 6, 2, 6, 6, 6, 60, 2, 6, 10, 1, 10, 2, 10, 2, 10, 1, 1, 10, 1, 6, 10, 10, 1, 5, 1, 50, 2, 10, 10, 2, 10, 2, 2, 6, 2, 10, 10, 0, 1, 2, 1, 2, 6, 6, 1, 2, 2, 10, 2, 10, 0, 1, 6, 1, 1, 2, 10, 5, 6, 10, 5, 6, 6, 6, 6, 1, 6, 6, 1, 6, 10, 10, 10, 1, 6, 6, 1, 10, 10, 10, 1, 1, 1, 1, 2, 2, 2, 2, 10, 6, 10, 6, 6, 2, 10, 10, 2, 2, 2, 6, 2, 2, 2, 2, 10, 10, 1, 1, 6, 6, 1, 1, 6, 10, 2, 1, 2, 6, 6, 1, 1, 6, 1, 2, 1, 1, 10, 2, 1, 1, 2, 6, 10, 1, 2, 2, 10, 10, 6, 10, 6, 10, 2, 10, 1, 6, 6, 6, 10, 2, 2, 1, 6, 6, 6, 9, 6, 2, 2, 10, 10, 10, 1, 1, 2, 10, 1, 2, 1, 2, 1, 2, 10, 10, 6, 10, 1, 2, 10, 6, 2, 6, 2, 6, 1, 2, 1, 6, 6, 10, 1, 6, 2, 10, 10, 2, 10, 10, 2, 1, 2, 6, 10, 6, 1, 6, 10, 1, 1, 6, 6, 6, 2, 1, 0, 10, 6, 6, 2, 10, 10, 10, 6, 10, 2, 10, 6, 1, 10, 1, 1, 6, 6, 1, 2, 10, 1, 9, 6, 2, 6, 6, 6, 6, 2, 6, 2, 1, 2, 1, 1, 2, 6, 10, 6, 1, 2, 10, 1, 10, 2, 6, 2, 2, 2, 4, 2, 2, 1, 2, 10, 1, 6, 2, 2, 6, 2, 10, 6, 1, 6, 2, 2, 2, 1, 2, 10, 10, 2, 2, 1, 1, 1, 2, 6, 10, 10, 1, 10, 2, 10, 9, 2, 4, 1, 1, 2, 10, 6, 10, 2, 2, 7, 6, 6, 6, 1, 10, 1, 10, 1, 1, 2, 6, 1, 2, 1, 1, 1, 10, 6, 2, 6, 6, 1, 6, 2, 1, 6, 6, 10, 10, 2, 6, 2, 6, 6, 6, 1, 10, 10, 2, 1, 10, 6, 1, 6, 10, 1, 10, 6, 6, 6, 10, 2, 2, 2, 10, 2, 10, 10, 1, 2, 1, 10, 6, 6, 1, 6, 6, 10, 6, 2, 1, 1, 6, 10, 6, 10, 2, 1, 1, 6, 2, 6, 2, 2, 10, 10, 10, 6, 2, 10, 10, 2, 1, 2, 10, 10, 1, 10, 6, 2, 6, 1, 10, 5, 6, 4, 2, 2, 6, 1, 1, 1, 2, 1, 10, 10, 1, 1, 1, 1, 10, 2, 1, 10, 6, 2, 10, 2, 10, 10, 6, 2, 6, 10, 10, 2, 1, 10, 10, 1, 1, 8, 6, 2, 1, 6, 10, 2, 2, 6, 2, 1, 1, 6, 2, 10, 6, 1, 2, 10, 1, 1, 5, 6, 6, 1, 6, 2, 10, 10, 1, 2, 10, 2, 1, 2, 10, 2, 6, 2, 1, 1, 10, 10, 10, 2, 10, 10, 2, 6, 1, 10, 6, 6, 1, 6, 10, 1, 2, 1, 10, 4, 10, 2, 2, 6, 2, 2, 1, 10, 1, 6, 1, 2, 1, 6, 2, 6, 10, 1, 10, 2, 10, 6, 1, 0, 6, 6, 6, 6, 1, 10, 6, 10, 6, 10, 6, 10, 6, 1, 10, 10, 6, 6, 10, 10, 2, 10, 6, 1, 10, 1, 2, 2, 10, 10, 2, 2, 2, 2, 10, 10, 2, 1, 1, 6, 2, 10, 2, 6, 1, 6, 1, 6, 2, 10, 10, 6, 10, 1, 6, 6, 1, 6, 1, 2, 10, 2, 10, 10, 1, 2, 2, 2, 6, 1, 6, 6, 2, 1, 1, 10, 10, 10, 2, 10, 10, 10, 6, 6, 2, 10, 6, 1, 2, 6, 1, 6, 10, 2, 10, 1, 10, 10, 6, 2, 2, 1, 6, 2, 6, 60, 2, 6, 6, 1, 1, 6, 10, 1, 0, 2, 6, 1, 9, 1, 1, 1, 10, 1, 2, 10, 10, 2, 2, 10, 1, 10, 10, 6, 1, 10, 10, 6, 6, 1, 1, 2, 10, 1, 2, 6, 1, 6, 4, 2, 1, 1, 2, 2, 2, 1, 1, 6, 1, 4, 6, 2, 2, 1, 6, 1, 6, 1, 6, 6, 6, 1, 1, 2, 10, 2, 2, 6, 10, 1, 1, 1, 1, 1, 2, 1, 6, 6, 6, 6, 6, 6, 2, 2, 10, 10, 2, 2, 1, 10, 10, 2, 1, 10, 10, 10, 2, 1, 2, 6, 2, 2, 2, 1, 2, 6, 2, 6, 1, 10, 1, 6, 10, 10, 2, 6, 1, 2, 1, 1, 6, 1, 1, 6, 9, 6, 1, 2, 4, 6, 4, 6, 10, 10, 10, 6, 1, 10, 10, 6, 1, 6, 2, 6, 2, 10, 2, 10, 10, 10, 2, 10, 10, 2, 10, 6, 10, 6, 1, 6, 6, 1, 2, 2, 1, 6, 10, 10, 6, 9, 1, 6, 6, 6, 6, 10, 2, 2, 2, 2, 1, 1, 1, 10, 2, 1, 6, 2, 10, 10, 6, 6, 10, 10, 2, 6, 10, 1, 10, 9, 10, 6, 10, 2, 6, 6, 2, 10, 2, 1, 6, 10, 6, 2, 1, 1, 1, 6, 6, 6, 2, 10, 2, 6, 10, 6, 2, 1, 4, 2, 6, 10, 2, 2, 10, 10, 1, 1, 2, 2, 6, 6, 6, 2, 10, 2, 2, 1, 2, 10, 9, 1, 2, 6, 2, 6, 6, 2, 2, 10, 2, 1, 2, 2, 2, 1, 6, 1, 10, 6, 10, 1, 1, 1, 6, 6, 6, 2, 1, 6, 2, 6, 2, 1, 10, 10, 10, 10, 6, 6, 10, 6, 2, 6, 10, 2, 2, 6, 6, 6, 10, 10, 2, 6, 2, 6, 6, 6, 6, 1, 2, 1, 10, 6, 2, 6, 1, 6, 10, 2, 2, 6, 6, 1, 1, 2, 2, 10, 10, 6, 1, 1, 6, 10, 2, 2, 1, 6, 10, 6, 6, 1, 6, 2, 6, 10, 1, 1, 2, 1, 6, 1, 6, 6, 10, 10, 2, 2, 2, 9, 1, 6, 6, 6, 1, 10, 5, 10, 1, 10, 6, 5, 1, 1, 10, 6, 2, 1, 1, 6, 10, 2, 6, 10, 2, 2, 10, 1, 10, 2, 1, 10, 6, 6, 10, 2, 2, 2, 10, 2, 10, 1, 2, 10, 6, 2, 2, 2, 10, 6, 2, 1, 6, 9, 1, 6, 10, 6, 6, 6, 10, 6, 10, 10, 10, 2, 1, 6, 6, 6, 2, 10, 10, 1, 2, 1, 6, 1, 6, 10, 2, 6, 2, 9, 1, 10, 10, 1, 1, 0, 10, 1, 6, 2, 1, 10, 10, 2, 1, 2, 1, 10, 1, 1, 10, 1, 1, 2, 2, 6, 6, 3, 10, 1, 2, 1, 6, 10, 1, 1, 1, 2, 10, 1, 1, 10, 1, 1, 6, 2, 6, 2, 2, 1, 10, 2, 2, 1, 6, 6, 2, 2, 10, 10, 6, 0, 2, 2, 1, 1, 6, 6, 1, 10, 1, 10, 2, 2, 10, 1, 10, 1, 2, 6, 10, 1, 10, 2, 0, 1, 1, 1, 2, 6, 2, 2, 6, 0, 1, 10, 10, 10, 2, 1, 10, 2, 6, 1, 6, 10, 10, 2, 2, 2, 1, 2, 10, 10, 2, 6, 2, 1, 6, 2, 1, 2, 9, 2, 6, 10, 10, 1, 10, 6, 2, 6, 10, 6, 10, 6, 10, 10, 2, 2, 6, 2, 2, 1, 10, 6, 6, 6, 2, 1, 2, 4, 1, 2, 2, 6, 6, 2, 1, 4, 10, 10, 10, 6, 2, 10, 1, 10, 1, 1, 6, 1, 6, 10, 6, 6, 6, 2, 6, 10, 6, 10, 10, 10, 10, 1, 6, 1, 6, 6, 2, 2, 1, 2, 6, 4, 6, 1, 10, 6, 6, 6, 1, 2, 1, 2, 6, 1, 1, 10, 9, 0, 6, 10, 10, 1, 1, 1, 6, 1, 9, 10, 2, 6, 10, 10, 1, 1, 9, 10, 2, 10, 2, 2, 10, 1, 6, 2, 1, 10, 10, 2, 4, 4, 10, 4, 6, 6, 1, 10, 1, 10, 6, 10, 2, 6, 4, 6, 10, 1, 10, 6, 10, 2, 1, 10, 6, 6, 1, 1, 6, 10, 6, 6, 10, 10, 6, 10, 10, 2, 2, 1, 9, 10, 2, 10, 2, 6, 2, 2, 2, 6, 1, 6, 2, 10, 6, 5, 2, 6, 2, 10, 6, 1, 10, 2, 10, 10, 10, 1, 1, 1, 1, 6, 1, 5, 6, 6, 1, 6, 1, 6, 10, 10, 6, 2, 2, 1, 1, 2, 10, 10, 2, 6, 10, 10, 10, 6, 10, 6, 1, 6, 10, 10, 10, 10, 2, 10, 10, 6, 1, 6, 6, 2, 6, 6, 10, 6, 6, 10, 6, 2, 10, 10, 1, 2, 10, 1, 1, 6, 1, 10, 1, 10, 2, 10, 9, 6, 1, 1, 6, 2, 1, 10, 6, 6, 1, 1, 1, 2, 10, 10, 10, 6, 2, 6, 2, 6, 10, 1, 2, 10, 10, 2, 10, 10, 5, 10, 6, 2, 2, 10, 2, 1, 6, 10, 10, 6, 10, 10, 6, 1, 6, 10, 10, 6, 6, 2, 1, 2, 10, 0, 10, 10, 10, 1, 1, 10, 10, 1, 6, 1, 1, 6, 6, 2, 10, 1, 2, 2, 1, 1, 1, 10, 1, 6, 6, 10, 2, 2, 2, 1, 10, 10, 6, 1, 10, 10, 1, 6, 1, 6, 10, 4, 10, 2, 2, 2, 9, 6, 10, 6, 1, 0, 1, 1, 2, 5, 6, 6, 1, 1, 2, 2, 10, 6, 2, 6, 6, 2, 6, 1, 6, 10, 2, 10, 1, 10, 10, 6, 10, 1, 1, 10, 6, 6, 10, 2, 10, 5, 2, 10, 10, 2, 6, 1, 6, 2, 10, 10, 6, 10, 1, 6, 10, 6, 1, 6, 10, 6, 2, 10, 1, 1, 1, 2, 1, 10, 6, 2, 6, 2, 1, 2, 1, 6, 1, 2, 6, 1, 10, 10, 6, 10, 1, 10, 2, 2, 2, 2, 10, 6, 10, 2, 10, 2, 2, 6, 2, 10, 1, 10, 10, 6, 10, 6, 2, 6, 2, 10, 1, 6, 10, 2, 10, 6, 2, 2, 1, 10, 5, 1, 2, 10, 6, 10, 1, 2, 1, 10, 2, 10, 6, 6, 1, 1, 1, 1, 10, 4, 10, 2, 10, 2, 10, 6, 2, 2, 2, 6, 1, 2, 6, 10, 6, 1, 10, 10, 1, 6, 10, 1, 6, 10, 2, 2, 6, 2, 1, 2, 2, 10, 1, 1, 10, 6, 10, 10, 6, 6, 2, 6, 1, 6, 6, 10, 1, 10, 6, 6, 10, 6, 2, 1, 10, 6, 6, 10, 2, 2, 6, 40, 1, 1, 6, 10, 6, 6, 1, 2, 10, 6, 2, 2, 6, 1, 10, 2, 6, 1, 1, 1, 10, 1, 2, 10, 10, 2, 1, 2, 6, 6, 1, 2, 10, 2, 6, 10, 10, 6, 2, 1, 10, 10, 5, 10, 2, 10, 1, 10, 1, 2, 2, 1, 1, 1, 6, 6, 6, 10, 6, 10, 6, 10, 6, 10, 10, 2, 6, 1, 2, 6, 6, 1, 2, 1, 2, 1, 1, 2, 1, 1, 10, 6, 10, 2, 1, 10, 10, 2, 10, 2, 6, 6, 2, 10, 0, 10, 1, 10, 1, 6, 10, 2, 2, 6, 10, 10, 6, 10, 10, 1, 9, 10, 1, 1, 1, 1, 1, 10, 2, 6, 6, 2, 1, 10, 10, 1, 10, 2, 6, 1, 2, 0, 1, 10, 2, 6, 1, 10, 1, 6, 10, 6, 1, 6, 6, 1, 2, 6, 6, 1, 6, 2, 6, 2, 6, 2, 10, 6, 6, 1, 10, 9, 6, 10, 1, 2, 10, 6, 6, 2, 2, 10, 2, 6, 1, 2, 2, 10, 1, 10, 6, 2, 6, 6, 2, 6, 10, 10, 10, 6, 2, 1, 2, 6, 10, 6, 2, 6, 10, 6, 1, 1, 6, 2, 6, 1, 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6, 2, 1, 1, 2, 1, 1, 1, 6, 1, 2, 2, 6, 10, 0, 10, 6, 10, 6, 6, 10, 10, 1, 1, 6, 6, 2, 6, 2, 6, 2, 10, 10, 1, 2, 10, 2, 2, 2, 10, 1, 1, 2, 6, 1, 10, 2, 2, 1, 1, 2, 4, 2, 6, 1, 2, 6, 10, 2, 1, 2, 10, 10, 10, 6, 4, 2, 10, 1, 10, 6, 1, 6, 1, 2, 2, 2, 6, 1, 1, 6, 1, 1, 6, 10, 6, 10, 1, 10, 1, 2, 1, 10, 6, 2, 6, 2, 2, 6, 2, 10, 6, 2, 9, 10, 6, 6, 6, 2, 1, 2, 1, 10, 1, 9, 1, 1, 6, 6, 6, 6, 1, 1, 2, 6, 2, 2, 1, 10, 5, 2, 6, 2, 2, 6, 10, 1, 10, 6, 6, 2, 1, 0, 6, 10, 6, 10, 1, 6, 1, 10, 2, 10, 10, 2, 6, 6, 6, 2, 6, 1, 10, 6, 10, 1, 1, 10, 6, 2, 1, 10, 6, 6, 1, 1, 1, 1, 10, 2, 6, 6, 6, 1, 1, 1, 10, 1, 6, 5, 10, 6, 2, 2, 1, 2, 1, 2, 10, 10, 6, 2, 10, 10, 2, 1, 2, 6, 10, 2, 10, 6, 1, 1, 2, 6, 6, 1, 1, 2, 1, 10, 10, 10, 2, 2, 1, 6, 0, 10, 1, 1, 2, 2, 6, 6, 1, 2, 1, 6, 2, 10, 1, 6, 6, 2, 6, 10, 2, 10, 6, 6, 1, 10, 10, 2, 10, 6, 10, 1, 2, 1, 10, 10, 2, 1, 10, 2, 0, 6, 2, 2, 10, 10, 1, 10, 10, 10, 0, 1, 2, 2, 10, 2, 6, 2, 10, 2, 2, 10, 1, 1, 6, 2, 2, 1, 9, 6, 6, 10, 6, 10, 10, 1, 1, 2, 10, 10, 1, 6, 10, 6, 6, 10, 10, 2, 1, 1, 2, 6, 1, 6, 2, 10, 2, 6, 1, 6, 1, 2, 1, 6, 9, 10, 2, 2, 6, 1, 2, 2, 6, 6, 10, 2, 2, 6, 2, 1, 10, 10, 2, 6, 1, 10, 2, 10, 10, 6, 2, 6, 10, 1, 6, 6, 1, 1, 2, 6, 2, 10, 1, 6, 10, 10, 6, 2, 10, 6, 6, 2, 6, 6, 10, 1, 10, 1, 1, 2, 1, 10, 10, 10, 10, 10, 2, 2, 10, 10, 6, 1, 1, 1, 2, 1, 1, 6, 1, 6, 1, 10, 6, 1, 2, 10, 2, 1, 1, 10, 1, 6, 10, 1, 1, 6, 10, 2, 1, 6, 10, 10, 1, 6, 10, 6, 1, 1, 10, 10, 1, 6, 1, 6, 2, 6, 2, 1, 2, 6, 6, 6, 1, 10, 1, 2, 2, 6, 1, 10, 6, 1, 2, 2, 6, 1, 6, 2, 10, 1, 10, 10, 10, 1, 10, 10, 6, 10, 2, 6, 6, 6, 2, 2, 10, 2, 2, 2, 6, 2, 2, 9, 1, 2, 1, 0, 10, 2, 1, 2, 2, 1, 2, 10, 1, 1, 2, 10, 2, 6, 2, 6, 2, 10, 2, 6, 10, 2, 10, 6, 2, 10, 10, 1, 10, 2, 6, 6, 10, 2, 2, 1, 1, 6, 2, 1, 1, 10, 2, 6, 10, 2, 10, 10, 1, 2, 6, 10, 6, 2, 1, 2, 6, 1, 1, 1, 6, 1, 1, 6, 10, 2, 1, 1, 6, 2, 6, 2, 2, 10, 6, 1, 10, 1, 1, 1, 6, 1, 10, 1, 2, 6, 1, 6, 1, 6, 6, 10, 1, 10, 10, 10, 10, 2, 10, 2, 2, 10, 10, 10, 10, 1, 10, 6, 2, 10, 2, 2, 10, 10, 6, 10, 1, 4, 1, 6, 2, 1, 6, 2, 6, 10, 6, 10, 1, 1, 6, 1, 6, 10, 6, 2, 6, 10, 10, 2, 2, 6, 1, 6, 1, 10, 10, 6, 6, 6, 2, 1, 1, 2, 2, 1, 2, 6, 6, 10, 10, 2, 2, 6, 10, 2, 1, 1, 6, 10, 10, 6, 2, 2, 6, 2, 1, 2, 2, 2, 1, 10, 2, 10, 10, 2, 2, 6, 6, 10, 1, 2, 10, 1, 2, 2, 2, 1, 6, 6, 2, 10, 4, 2, 1, 2, 1, 1, 2, 6, 6, 1, 10, 10, 6, 2, 1, 2, 10, 1, 1, 6, 10, 1, 1, 6, 2, 2, 6, 1, 6, 2, 1, 6, 6, 1, 1, 6, 2, 2, 10, 1, 10, 4, 6, 10, 10, 5, 1, 10, 2, 10, 10, 1, 10, 10, 10, 1, 10, 6, 1, 4, 10, 2, 10, 2, 10, 2, 10, 10, 1, 6, 10, 2, 2, 6, 6, 2, 1, 1, 1, 10, 10, 1, 2, 6, 2, 2, 10, 6, 1, 1, 1, 10, 10, 10, 10, 10, 10, 1, 10, 1, 1, 2, 10, 2, 1, 6, 2, 1, 10, 6, 1, 6, 2, 10, 10, 2, 10, 1, 1, 6, 10, 6, 10, 2, 6, 10, 1, 2, 10, 10, 6, 6, 5, 6, 1, 5, 10, 2, 10, 10, 2, 2, 6, 1, 2, 1, 10, 6, 6, 10, 2, 10, 6, 10, 10, 1, 1, 2, 1, 10, 2, 6, 6, 1, 6, 1, 2, 6, 1, 6, 6, 10, 1, 1, 1, 6, 1, 2, 2, 6, 1, 5, 10, 6, 6, 10, 6, 10, 10, 10, 1, 2, 1, 10, 2, 6, 2, 1, 2, 2, 4, 6, 6, 10, 2, 2, 6, 2, 10, 10, 2, 6, 1, 2, 0, 6, 2, 1, 1, 6, 6, 6, 6, 1, 4, 1, 1, 2, 6, 10, 2, 1, 10, 2, 1, 10, 10, 6, 2, 2, 6, 1, 1, 1, 10, 6, 1, 1, 10, 1, 10, 6, 2, 1, 1, 1, 1, 2, 6, 2, 1, 2, 6, 6, 2, 6, 4, 10, 10, 10, 6, 10, 10, 10, 1, 1, 10, 1, 6, 1, 1, 10, 1, 1, 2, 2, 1, 10, 6, 10, 6, 10, 1, 1, 6, 10, 10, 6, 6, 9, 1, 2, 2, 1, 10, 2, 2, 10, 5, 2, 5, 1, 6, 1, 10, 2, 6, 1, 6, 10, 6, 6, 10, 1, 1, 1, 1, 2, 6, 6, 10, 10, 2, 6, 6, 6, 10, 1, 6, 6, 2, 5, 2, 1, 1, 1, 6, 1, 10, 1, 1, 10, 1, 6, 6, 2, 1, 9, 2, 10, 10, 1, 1, 2, 2, 10, 10, 10, 1, 6, 10, 6, 1, 10, 1, 6, 10, 6, 10, 6, 2, 1, 10, 10, 6, 0, 2, 6, 6, 1, 2, 6, 1, 10, 1, 10, 2, 10, 1, 6, 1, 1, 2, 1, 2, 6, 2, 6, 10, 1, 10, 6, 2, 1, 1, 10, 1, 10, 6, 6, 6, 6, 10, 2, 6, 6, 1, 2, 6, 10, 2, 10, 2, 2, 1, 6, 0, 10, 1, 10, 10, 10, 6, 10, 10, 10, 10, 10, 1, 1, 6, 1, 1, 1, 2, 2, 10, 6, 2, 2, 6, 1, 1, 1, 10, 1, 2, 6, 6, 6, 10, 6, 1, 2, 1, 2, 1, 2, 10, 6, 2, 1, 10, 0, 1, 6, 10, 2, 2, 2, 1, 10, 10, 6, 2, 2, 10, 6, 6, 10, 10, 10, 10, 1, 6, 1, 5, 6, 6, 4, 10, 1, 1, 10, 1, 10, 2, 10, 1, 2, 1, 10, 2, 6, 6, 10, 10, 10, 1, 10, 10, 10, 6, 1, 4, 6, 1, 1, 10, 2, 2, 10, 10, 6, 2, 6, 6, 10, 10, 2, 10, 2, 1, 2, 10, 6, 2, 6, 2, 1, 2, 6, 6, 10, 10, 10, 4, 2, 2, 2, 6, 2, 2, 1, 10, 1, 2, 10, 1, 10, 10, 6, 2, 10, 1, 2, 10, 10, 10, 10, 6, 10, 10, 2, 10, 2, 10, 6, 2, 2, 1, 6, 6, 6, 2, 1, 10, 10, 6, 6, 2, 1, 10, 10, 6, 2, 1, 10, 2, 1, 6, 6, 2, 6, 6, 6, 1, 6, 10, 2, 10, 4, 0, 4, 10, 10, 1, 1, 10, 1, 6, 2, 10, 2, 6, 10, 1, 1, 6, 2, 2, 10, 6, 1, 10, 10, 2, 6, 6, 6, 6, 1, 10, 10, 2, 1, 0, 1, 6, 10, 1, 1, 5, 6, 2, 10, 2, 2, 2, 6, 1, 2, 1, 1, 10, 1, 1, 1, 1, 6, 2, 10, 2, 1, 1, 6, 10, 10, 10, 6, 10, 6, 2, 6, 10, 6, 2, 10, 1, 10, 6, 2, 2, 2, 2, 6, 1, 10, 6, 1, 8, 10, 10, 1, 1, 6, 1, 6, 6, 1, 2, 2, 1, 2, 10, 2, 2, 10, 1, 6, 6, 10, 2, 10, 10, 10, 2, 1, 2, 6, 10, 1, 10, 2, 1, 2, 1, 1, 6, 1, 10, 1, 2, 10, 10, 4, 1, 1, 1, 10, 2, 10, 1, 1, 6, 6, 1, 10, 2, 2, 10, 10, 10, 10, 10, 6, 2, 1, 6, 6, 10, 6, 1, 6, 10, 1, 1, 2, 5, 2, 1, 10, 10, 1, 10, 6, 4, 2, 2, 1, 10, 6, 1, 10, 2, 1, 10, 10, 6, 10, 6, 10, 9, 6, 1, 6, 1, 6, 10, 6, 10, 10, 2, 10, 1, 6, 1, 6, 1, 2, 0, 6, 10, 10, 4, 6, 1, 6, 6, 2, 5, 6, 10, 10, 1, 6, 1, 2, 2, 6, 6, 6, 6, 6, 10, 1, 6, 1, 2, 2, 6, 9, 1, 6, 6, 1, 2, 2, 10, 2, 10, 9, 10, 10, 6, 6, 2, 6, 6, 1, 10, 10, 10, 6, 10, 1, 6, 10, 10, 1, 6, 6, 10, 1, 2, 2, 6, 1, 10, 1, 2, 10, 1, 6, 10, 2, 2, 1, 10, 10, 6, 6, 2, 6, 10, 6, 1, 1, 6, 10, 1, 6, 1, 10, 6, 1, 1, 1, 1, 1, 6, 10, 6, 10, 10, 10, 10, 10, 6, 5, 10, 1, 9, 2, 6, 6, 1, 10, 2, 1, 1, 1, 10, 2, 2, 10, 6, 2, 6, 1, 10, 6, 10, 2, 10, 1, 1, 10, 1, 10, 6, 10, 6, 2, 1, 1, 1, 10, 10, 10, 6, 9, 6, 1, 2, 9, 2, 10, 10, 10, 6, 6, 2, 9, 10, 6, 10, 1, 9, 1, 1, 2, 10, 2, 2, 6, 6, 10, 10, 6, 6, 10, 10, 1, 1, 9, 2, 2, 10, 2, 4, 2, 1, 2, 10, 1, 6, 7, 2, 10, 6, 1, 2, 1, 1, 10, 6, 6, 10, 2, 1, 6, 2, 1, 6, 6, 2, 10, 2, 2, 10, 2, 1, 10, 1, 6, 2, 1, 6, 2, 1, 1, 10, 1, 1, 2, 2, 6, 2, 6, 1, 6, 2, 2, 1, 1, 6, 2, 8, 10, 1, 6, 6, 10, 1, 10, 2, 10, 1, 1, 6, 2, 2, 1, 2, 2, 2, 0, 10, 10, 2, 1, 2, 1, 2, 6, 6, 2, 10, 1, 1, 5, 6, 6, 1, 9, 10, 10, 1, 6, 1, 1, 6, 10, 10, 6, 4, 10, 10, 10, 1, 10, 6, 10, 10, 6, 1, 2, 2, 1, 6, 10, 10, 1, 10, 1, 2, 10, 1, 2, 6, 6, 2, 2, 10, 1, 2, 2, 6, 2, 1, 1, 10, 10, 2, 1, 6, 10, 2, 10, 10, 10, 5, 10, 6, 2, 2, 2, 2, 6, 1, 6, 2, 10, 2, 2, 6, 10, 2, 1, 10, 10, 6, 6, 1, 5, 10, 6, 2, 6, 2, 2, 10, 1, 1, 2, 10, 0, 10, 10, 10, 10, 2, 1, 1, 10, 6, 1, 2, 2, 2, 10, 10, 10, 5, 10, 1, 2, 6, 2, 10, 6, 2, 6, 6, 6, 2, 5, 2, 1, 2, 1, 2, 2, 1, 1, 2, 10, 10, 6, 6, 10, 10, 1, 2, 10, 2, 10, 6, 2, 10, 1, 2, 6, 1, 6, 10, 2, 6, 10, 6, 5, 10, 2, 1, 10, 10, 6, 2, 6, 2, 10, 6, 1, 2, 2, 1, 6, 1, 10, 6, 2, 6, 10, 2, 6, 10, 2, 6, 2, 6, 10, 1, 10, 6, 1, 2, 10, 6, 10, 10, 2, 10, 2, 6, 10, 2, 2, 1, 1, 10, 2, 6, 6, 2, 1, 2, 1, 6, 10, 10, 2, 10, 6, 2, 1, 1, 4, 2, 2, 2, 2, 10, 6, 6, 10, 10, 10, 1, 6, 10, 6, 1, 1, 2, 9, 2, 10, 2, 2, 1, 6, 1, 2, 10, 1, 6, 1, 6, 10, 2, 6, 2, 2, 10, 1, 1, 6, 2, 10, 10, 10, 6, 2, 10, 10, 1, 10, 10, 2, 1, 1, 10, 10, 10, 6, 10, 10, 1, 10, 2, 2, 6, 1, 2, 4, 2, 10, 1, 2, 6, 6, 10, 10, 1, 6, 6, 1, 2, 2, 6, 2, 2, 2, 6, 6, 1, 9, 10, 2, 2, 0, 1, 1, 2, 6, 6, 10, 2, 6, 1, 6, 6, 6, 2, 6, 6, 10, 10, 4, 10, 2, 10, 1, 2, 6, 2, 10, 6, 1, 1, 10, 10, 1, 2, 10, 10, 6, 2, 2, 6, 1, 2, 6, 6, 1, 10, 1, 2, 6, 10, 10, 10, 2, 2, 6, 1, 10, 2, 1, 10, 1, 10, 6, 10, 4, 6, 10, 1, 6, 1, 6, 4, 10, 6, 2, 1, 10, 10, 6, 10, 1, 6, 1, 2, 6, 1, 2, 6, 2, 10, 2, 10, 2, 10, 2, 1, 1, 6, 10, 10, 1, 10, 8, 2, 6, 2, 2, 10, 10, 6, 10, 2, 2, 1, 10, 6, 1, 10, 6, 2, 1, 2, 2, 4, 1, 2, 1, 6, 1, 6, 10, 10, 10, 1, 6, 10, 6, 1, 2, 2, 10, 2, 1, 6, 6, 1, 2, 2, 1, 6, 1, 10, 6, 9, 10, 2, 1, 10, 6, 2, 1, 10, 10, 10, 1, 1, 10, 1, 2, 10, 2, 2, 2, 6, 2, 6, 10, 2, 6, 1, 6, 10, 2, 2, 2, 2, 10, 2, 2, 1, 6, 6, 2, 10, 2, 10, 0, 10, 6, 1, 6, 6, 10, 1, 2, 10, 1, 10, 6, 1, 6, 6, 1, 2, 2, 1, 2, 10, 2, 6, 6, 1, 1, 2, 1, 1, 6, 6, 6, 10, 2, 6, 6, 2, 9, 6, 10, 1, 6, 1, 10, 2, 6, 1, 1, 6, 0, 10, 10, 6, 2, 10, 2, 1, 0, 0, 2, 1, 10, 6, 10, 6, 1, 10, 1, 10, 1, 2, 10, 2, 6, 2, 1, 10, 1, 2, 10, 10, 1, 10, 1, 6, 6, 1, 2, 6, 6, 6, 2, 1, 2, 1, 1, 6, 2, 6, 6, 2, 2, 5, 10, 2, 1, 1, 6, 2, 1, 6, 1, 10, 2, 5, 2, 2, 2, 2, 10, 6, 6, 6, 1, 1, 6, 2, 5, 2, 1, 10, 10, 6, 2, 6, 6, 1, 6, 6, 6, 6, 10, 10, 6, 6, 10, 1, 2, 6, 10, 6, 6, 1, 6, 10, 6, 10, 2, 10, 2, 1, 10, 0, 10, 2, 5, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 6, 6, 10, 1, 10, 6, 2, 1, 10, 2, 2, 1, 1, 6, 10, 0, 1, 2, 1, 1, 1, 0, 1, 1, 10, 1, 2, 1, 6, 6, 2, 0, 6, 6, 1, 1, 1, 2, 10, 1, 10, 10, 2, 6, 1, 10, 10, 10, 1, 2, 2, 9, 10, 1, 6, 2, 1, 10, 2, 1, 2, 2, 10, 2, 2, 10, 6, 10, 10, 6, 6, 2, 10, 1, 1, 6, 10, 1, 6, 2, 1, 6, 2, 6, 2, 2, 10, 6, 9, 1, 6, 6, 2, 2, 1, 1, 10, 2, 2, 6, 2, 2, 6, 9, 1, 1, 10, 6, 9, 1, 4, 6, 6, 6, 2, 6, 1, 10, 2, 6, 1, 10, 10, 2, 6, 1, 10, 6, 2, 10, 6, 10, 6, 10, 2, 6, 6, 10, 1, 10, 1, 2, 6, 6, 6, 10, 10, 2, 6, 2, 2, 6, 1, 6, 2, 1, 1, 6, 6, 5, 1, 1, 2, 10, 6, 1, 10, 2, 6, 2, 1, 1, 1, 6, 6, 6, 6, 1, 2, 10, 1, 2, 6, 10, 10, 10, 10, 6, 2, 0, 1, 6, 6, 10, 6, 6, 1, 10, 6, 10, 1, 6, 6, 6, 6, 2, 10, 6, 60, 6, 6, 1, 6, 1, 2, 1, 1, 2, 1, 2, 6, 1, 10, 6, 6, 1, 10, 6, 10, 2, 6, 10, 6, 2, 10, 2, 6, 1, 2, 10, 6, 2, 10, 2, 1, 6, 1, 2, 10, 1, 1, 6, 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10, 2, 6, 10, 2, 2, 10, 1, 10, 2, 6, 2, 6, 1, 5, 10, 10, 1, 1, 6, 6, 6, 2, 10, 10, 2, 1, 2, 2, 6, 6, 0, 2, 10, 2, 1, 10, 10, 2, 10, 2, 6, 6, 1, 6, 10, 6, 2, 10, 10, 6, 1, 2, 6, 2, 2, 1, 10, 2, 6, 1, 1, 6, 1, 2, 10, 10, 1, 10, 6, 2, 1, 6, 5, 6, 1, 6, 6, 6, 10, 6, 1, 1, 10, 10, 2, 10, 2, 2, 6, 10, 2, 1, 10, 10, 10, 1, 2, 10, 2, 6, 10, 6, 10, 2, 2, 6, 2, 6, 1, 6, 10, 2, 2, 2, 10, 9, 10, 10, 10, 10, 1, 2, 1, 6, 1, 6, 2, 10, 6, 10, 1, 2, 6, 2, 1, 10, 10, 10, 1, 10, 2, 2, 2, 10, 6, 2, 1, 1, 6, 2, 10, 10, 10, 1, 10, 1, 1, 10, 2, 2, 6, 4, 1, 6, 10, 10, 6, 2, 2, 2, 6, 2, 1, 1, 10, 10, 1, 1, 5, 4, 2, 1, 1, 2, 6, 6, 10, 2, 10, 2, 1, 6, 1, 2, 10, 0, 10, 10, 1, 6, 1, 2, 1, 2, 2, 2, 6, 10, 10, 6, 2, 1, 1, 1, 2, 1, 10, 2, 10, 10, 10, 1, 1, 2, 1, 1, 2, 10, 2, 1, 2, 6, 1, 10, 6, 10, 6, 10, 2, 2, 10, 1, 10, 2, 10, 2, 10, 6, 1, 6, 2, 10, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 10, 2, 2, 10, 2, 6, 10, 1, 6, 1, 6, 6, 10, 4, 5, 1, 1, 10, 2, 1, 2, 6, 10, 10, 6, 2, 6, 2, 2, 6, 6, 2, 2, 6, 2, 1, 6, 6, 1, 10, 1, 1, 1, 1, 6, 10, 2, 6, 10, 10, 2, 6, 0, 10, 2, 1, 1, 2, 10, 1, 2, 6, 6, 2, 1, 2, 10, 1, 2, 1, 2, 2, 1, 2, 9, 6, 10, 5, 1, 6, 6, 1, 6, 1, 6, 2, 6, 2, 1, 6, 2, 2, 6, 1, 10, 1, 6, 2, 1, 2, 2, 2, 1, 6, 10, 2, 6, 1, 2, 10, 2, 10, 2, 10, 6, 1, 6, 10, 10, 2, 10, 6, 2, 2, 6, 1, 6, 10, 1, 6, 10, 6, 2, 6, 2, 6, 10, 4, 10, 10, 2, 6, 1, 5, 6, 10, 1, 2, 1, 2, 10, 2, 1, 6, 6, 6, 10, 1, 2, 10, 2, 1, 10, 2, 10, 6, 1, 0, 6, 2, 5, 10, 2, 6, 10, 1, 1, 1, 1, 1, 6, 10, 2, 10, 6, 6, 10, 6, 2, 2, 10, 1, 6, 10, 2, 4, 1, 2, 10, 1, 1, 2, 2, 10, 6, 6, 6, 5, 5, 5, 10, 2, 10, 2, 10, 1, 2, 2, 10, 1, 2, 1, 6, 10, 1, 2, 2, 10, 6, 6, 6, 10, 2, 10, 10, 6, 1, 6, 10, 6, 1, 1, 10, 1, 2, 2, 2, 2, 10, 10, 1, 1, 6, 6, 5, 10, 2, 9, 10, 2, 1, 1, 10, 6, 5, 6, 6, 1, 1, 1, 1, 10, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 6, 10, 6, 6, 6, 1, 6, 10, 1, 6, 2, 2, 10, 2, 2, 1, 10, 1, 1, 6, 6, 1, 2, 2, 2, 2, 6, 2, 1, 2, 0, 10, 1, 2, 10, 1, 10, 6, 6, 6, 2, 1, 6, 10, 1, 1, 10, 0, 6, 1, 10, 2, 10, 2, 6, 2, 2, 4, 10, 2, 6, 1, 6, 6, 2, 5, 10, 10, 2, 10, 10, 6, 2, 1, 6, 1, 6, 10, 10, 1, 1, 2, 2, 6, 10, 6, 6, 1, 6, 1, 1, 1, 2, 10, 0, 0, 6, 2, 6, 6, 10, 1, 6, 10, 1, 4, 1, 2, 10, 6, 10, 1, 1, 10, 4, 6, 10, 6, 10, 2, 1, 10, 1, 0, 10, 1, 1, 10, 6, 6, 10, 1, 6, 2, 10, 10, 1, 2, 1, 2, 2, 1, 2, 10, 1, 10, 10, 6, 2, 2, 5, 6, 6, 2, 10, 6, 6, 6, 2, 6, 1, 10, 2, 2, 10, 1, 2, 0, 10, 1, 2, 5, 6, 2, 1, 2, 2, 2, 6, 10, 6, 1, 10, 6, 10, 2, 1, 1, 1, 2, 1, 1, 6, 2, 1, 10, 10, 10, 1, 1, 2, 1, 10, 6, 2, 4, 1, 6, 6, 10, 6, 10, 2, 10, 6, 6, 10, 10, 10, 1, 10, 2, 1, 10, 6, 2, 10, 1, 1, 1, 2, 10, 1, 2, 1, 10, 10, 1, 6, 2, 2, 6, 2, 1, 2, 1, 10, 6, 6, 6, 10, 10, 6, 1, 1, 5, 1, 1, 6, 6, 2, 2, 10, 10, 2, 2, 6, 1, 2, 6, 10, 1, 6, 2, 1, 6, 1, 10, 6, 5, 5, 6, 2, 10, 6, 6, 2, 2, 1, 5, 9, 6, 6, 6, 2, 10, 6, 6, 6, 2, 2, 10, 2, 10, 10, 10, 10, 1, 2, 6, 2, 2, 10, 2, 1, 6, 6, 6, 1, 1, 6, 10, 1, 2, 10, 2, 10, 10, 1, 1, 10, 6, 2, 2, 6, 1, 6, 10, 2, 10, 6, 10, 1, 10, 1, 10, 10, 10, 6, 6, 10, 2, 6, 1, 6, 1, 6, 1, 1, 2, 2, 2, 1, 6, 10, 1, 6, 10, 10, 2, 2, 6, 6, 2, 1, 6, 1, 1, 10, 1, 1, 10, 1, 10, 6, 1, 0, 2, 6, 6, 2, 6, 10, 2, 1, 1, 2, 6, 1, 6, 10, 6, 10, 1, 1, 1, 1, 2, 6, 2, 2, 2, 9, 6, 2, 6, 10, 6, 1, 10, 6, 1, 6, 10, 1, 10, 10, 1, 6, 1, 2, 1, 2, 10, 10, 1, 6, 1, 1, 10, 2, 10, 1, 2, 10, 2, 10, 10, 6, 1, 6, 10, 6, 1, 1, 10, 6, 1, 2, 1, 10, 1, 10, 10, 2, 1, 1, 6, 6, 2, 4, 1, 1, 9, 1, 6, 1, 10, 2, 1, 50, 2, 1, 10, 10, 1, 10, 2, 10, 10, 6, 10, 10, 2, 2, 2, 6, 6, 6, 2, 6, 4, 6, 10, 1, 10, 1, 2, 6, 10, 10, 1, 4, 10, 10, 1, 1, 4, 2, 2, 1, 1, 6, 1, 10, 10, 10, 6, 10, 2, 10, 10, 6, 1, 6, 6, 10, 1, 2, 1, 6, 10, 2, 1, 1, 2, 1, 10, 6, 10, 6, 9, 1, 6, 1, 6, 1, 10, 1, 2, 1, 2, 6, 1, 10, 6, 2, 6, 10, 10, 6, 2, 1, 1, 2, 10, 2, 6, 10, 6, 10, 10, 10, 1, 10, 1, 5, 6, 2, 10, 2, 2, 1, 2, 1, 1, 2, 9, 1, 10, 10, 1, 2, 10, 2, 1, 1, 1, 2, 10, 2, 6, 10, 1, 9, 10, 10, 6, 0, 6, 6, 1, 2, 1, 6, 6, 1, 1, 10, 2, 10, 6, 2, 2, 6, 10, 10, 1, 10, 1, 6, 10, 1, 2, 2, 1, 6, 2, 10, 10, 10, 1, 1, 10, 1, 10, 1, 10, 2, 6, 6, 10, 2, 6, 6, 6, 2, 10, 10, 2, 6, 6, 1, 2, 1, 10, 6, 6, 10, 10, 10, 6, 1, 2, 6, 1, 6, 2, 10, 1, 5, 0, 10, 1, 2, 6, 1, 2, 6, 10, 2, 2, 6, 1, 1, 2, 1, 2, 2, 6, 1, 6, 1, 1, 0, 6, 2, 1, 2, 1, 2, 6, 10, 6, 1, 6, 10, 10, 2, 10, 2, 2, 1, 2, 2, 6, 10, 1, 1, 1, 6, 6, 1, 1, 6, 2, 0, 6, 2, 2, 2, 10, 10, 1, 2, 1, 4, 6, 6, 2, 1, 1, 10, 1, 6, 1, 1, 1, 6, 1, 10, 6, 6, 10, 6, 2, 6, 6, 9, 2, 1, 6, 6, 6, 6, 6, 6, 2, 2, 2, 1, 2, 6, 1, 6, 0, 10, 10, 1, 2, 1, 1, 6, 1, 10, 1, 6, 10, 2, 1, 1, 1, 6, 6, 1, 2, 10, 2, 10, 10, 1, 2, 1, 1, 2, 10, 10, 2, 2, 10, 2, 10, 6, 2, 10, 1, 10, 6, 6, 6, 10, 10, 10, 2, 1, 6, 6, 5, 1, 2, 1, 2, 10, 2, 2, 10, 2, 1, 6, 1, 2, 6, 2, 1, 10, 0, 6, 10, 10, 1, 2, 6, 1, 6, 2, 1, 2, 10, 2, 2, 2, 10, 2, 6, 10, 6, 6, 2, 1, 10, 6, 1, 1, 6, 2, 6, 1, 6, 6, 10, 2, 6, 10, 2, 2, 2, 7, 1, 1, 2, 2, 6, 1, 10, 2, 2, 6, 1, 1, 2, 10, 2, 2, 10, 10, 10, 10, 6, 6, 1, 1, 10, 6, 2, 2, 6, 1, 2, 6, 10, 6, 10, 2, 1, 9, 1, 2, 1, 1, 6, 2, 2, 10, 1, 2, 6, 1, 10, 1, 10, 2, 1, 10, 1, 1, 10, 6, 2, 2, 6, 6, 6, 6, 6, 2, 6, 1, 10, 1, 10, 2, 1, 10, 2, 2, 2, 1, 10, 9, 2, 1, 6, 1, 2, 10, 1, 1, 1, 2, 2, 2, 1, 10, 1, 10, 1, 10, 1, 10, 10, 6, 1, 1, 1, 1, 2, 1, 1, 6, 2, 6, 6, 1, 6, 10, 1, 10, 1, 1, 2, 6, 10, 1, 1, 10, 2, 6, 2, 1, 6, 1, 6, 1, 2, 10, 10, 10, 0, 6, 6, 2, 6, 1, 1, 1, 2, 1, 10, 6, 6, 10, 6, 2, 1, 1, 10, 1, 10, 10, 1, 10, 2, 2, 1, 1, 2, 1, 10, 2, 1, 1, 6, 10, 10, 1, 10, 2, 2, 5, 1, 6, 6, 10, 10, 2, 10, 1, 2, 1, 6, 10, 2, 6, 6, 6, 1, 2, 6, 1, 2, 10, 2, 10, 1, 2, 2, 10, 10, 6, 5, 0, 6, 1, 6, 10, 9, 6, 6, 10, 10, 6, 10, 1, 2, 1, 1, 2, 2, 1, 6, 10, 10, 10, 2, 10, 2, 1, 2, 2, 6, 1, 6, 1, 10, 10, 1, 2, 1, 6, 1, 10, 6, 10, 6, 6, 6, 2, 10, 2, 6, 1, 10, 1, 1, 9, 1, 2, 6, 6, 10, 1, 6, 6, 1, 6, 1, 2, 0, 1, 10, 6, 6, 10, 0, 2, 4, 1, 2, 2, 6, 2, 1, 10, 9, 2, 2, 6, 1, 4, 1, 1, 2, 9, 10, 2, 6, 6, 10, 6, 10, 0, 6, 10, 6, 6, 10, 2, 1, 1, 6, 6, 10, 2, 10, 2, 0, 1, 2, 10, 0, 10, 2, 10, 2, 2, 6, 6, 10, 1, 6, 10, 1, 10, 1, 6, 1, 1, 2, 2, 2, 1, 1, 1, 1, 10, 6, 6, 6, 10, 2, 6, 10, 2, 6, 2, 2, 1, 1, 10, 6, 10, 1, 6, 2, 6, 2, 1, 1, 2, 2, 2, 1, 10, 10, 6, 10, 10, 6, 6, 1, 2, 10, 1, 1, 6, 2, 1, 10, 1, 2, 2, 2, 6, 10, 1, 6, 2, 2, 2, 1, 6, 10, 2, 10, 10, 6, 1, 2, 2, 1, 6, 6, 6, 10, 2, 1, 2, 6, 6, 10, 6, 10, 1, 6, 2, 1, 1, 10, 6, 1, 6, 6, 6, 10, 6, 10, 1, 2, 1, 1, 2, 2, 2, 10, 6, 1, 2, 10, 1, 1, 1, 1, 1, 1, 2, 10, 6, 6, 10, 1, 2, 6, 2, 10, 10, 10, 2, 1, 1, 2, 10, 1, 1, 2, 10, 1, 6, 2, 2, 1, 2, 10, 10, 10, 10, 6, 2, 0, 1, 6, 6, 10, 6, 2, 2, 10, 10, 10, 2, 1, 1, 2, 2, 1, 10, 2, 10, 6, 6, 0, 2, 1, 10, 1, 1, 1, 6, 10, 0, 10, 6, 6, 1, 2, 6, 2, 10, 2, 1, 6, 1, 1, 10, 10, 1, 2, 1, 6, 1, 1, 1, 1, 6, 6, 2, 2, 6, 1, 1, 1, 6, 1, 6, 1, 6, 6, 10, 10, 2, 2, 2, 6, 2, 2, 6, 2, 2, 1, 5, 6, 1, 1, 9, 6, 2, 1, 10, 10, 5, 6, 1, 10, 1, 2, 6, 2, 10, 1, 2, 6, 10, 6, 2, 1, 6, 1, 6, 10, 1, 2, 1, 1, 1, 2, 6, 1, 2, 6, 2, 1, 10, 2, 6, 1, 10, 2, 10, 2, 1, 10, 2, 6, 10, 6, 6, 4, 10, 4, 6, 6, 6, 2, 1, 6, 2, 1, 1, 10, 1, 2, 6, 10, 1, 1, 10, 2, 1, 6, 10, 6, 2, 10, 2, 1, 1, 1, 6, 10, 2, 10, 10, 10, 2, 1, 10, 1, 1, 2, 2, 1, 2, 6, 2, 2, 10, 2, 6, 1, 2, 2, 10, 10, 2, 6, 6, 2, 1, 6, 1, 10, 1, 2, 6, 6, 2, 6, 6, 10, 6, 10, 6, 10, 2, 10, 10, 2, 1, 2, 2, 6, 2, 6, 2, 1, 6, 6, 10, 1, 6, 1, 6, 10, 1, 6, 2, 10, 2, 1, 6, 10, 2, 1, 10, 5, 10, 10, 6, 10, 6, 1, 10, 6, 6, 2, 1, 2, 6, 2, 10, 6, 6, 6, 1, 6, 10, 2, 10, 1, 6, 10, 6, 6, 2, 2, 6, 0, 1, 2, 2, 6, 2, 6, 6, 2, 2, 6, 10, 2, 2, 2, 1, 10, 2, 10, 10, 2, 6, 10, 6, 2, 2, 1, 6, 10, 2, 2, 2, 2, 1, 1, 10, 10, 10, 10, 6, 0, 2, 1, 1, 6, 2, 2, 6, 2, 6, 10, 10, 6, 6, 2, 1, 2, 2, 2, 1, 10, 10, 2, 2, 6, 2, 6, 1, 1, 6, 1, 2, 1, 4, 2, 10, 6, 1, 2, 2, 6, 2, 10, 2, 10, 1, 10, 2, 6, 2, 10, 2, 6, 6, 6, 5, 2, 1, 1, 1, 1, 6, 6, 6, 6, 10, 2, 1, 1, 1, 1, 1, 6, 1, 6, 10, 1, 6, 1, 1, 6, 2, 6, 1, 6, 1, 1, 1, 2, 2, 10, 6, 1, 2, 2, 2, 1, 2, 6, 10, 2, 6, 6, 2, 10, 2, 1, 10, 10, 10, 6, 2, 6, 6, 2, 1, 1, 10, 2, 6, 6, 2, 6, 6, 10, 1, 2, 2, 2, 2, 2, 6, 2, 6, 10, 1, 6, 6, 2, 6, 6, 6, 10, 10, 1, 1, 1, 10, 10, 10, 10, 1, 6, 2, 6, 2, 2, 6, 1, 2, 2, 1, 1, 1, 10, 1, 10, 6, 2, 6, 6, 1, 10, 1, 2, 1, 1, 10, 2, 2, 6, 2, 2, 10, 1, 2, 10, 2, 1, 1, 6, 1, 6, 2, 1, 6, 1, 10, 2, 6, 1, 6, 1, 6, 2, 9, 6, 6, 2, 1, 2, 6, 10, 10, 1, 6, 10, 10, 1, 1, 6, 2, 6, 1, 1, 1, 1, 2, 6, 2, 2, 6, 2, 1, 1, 1, 10, 1, 6, 6, 6, 6, 10, 10, 10, 6, 6, 10, 6, 2, 2, 6, 6, 2, 2, 10, 6, 10, 10, 6, 0, 10, 2, 10, 1, 2, 10, 6, 2, 1, 1, 6, 10, 2, 10, 1, 10, 6, 6, 1, 2, 6, 10, 6, 10, 1, 2, 10, 6, 6, 10, 10, 9, 0, 2, 6, 6, 10, 5, 1, 1, 2, 1, 10, 6, 2, 6, 2, 1, 4, 6, 6, 6, 1, 6, 1, 2, 6, 2, 10, 10, 1, 10, 6, 10, 2, 1, 5, 10, 10, 2, 6, 6, 2, 6, 2, 10, 10, 10, 6, 6, 1, 10, 6, 1, 1, 6, 2, 1, 2, 2, 1, 10, 2, 1, 6, 6, 1, 10, 6, 1, 10, 6, 2, 6, 6, 10, 6, 1, 2, 2, 6, 2, 6, 1, 2, 6, 1, 2, 10, 6, 6, 4, 2, 6, 6, 6, 1, 10, 2, 2, 2, 10, 2, 2, 1, 2, 10, 10, 0, 6, 1, 1, 2, 0, 6, 2, 6, 1, 2, 1, 10, 10, 6, 6, 10, 1, 2, 10, 2, 1, 1, 6, 2, 1, 2, 6, 6, 6, 6, 1, 6, 10, 1, 10, 10, 6, 1, 2, 1, 1, 1, 2, 4, 1, 10, 1, 6, 10, 1, 2, 6, 1, 6, 1, 10, 10, 10, 10, 10, 6, 10, 6, 2, 10, 1, 1, 6, 6, 10, 2, 6, 10, 6, 2, 1, 1, 4, 10, 10, 6, 2, 2, 1, 10, 6, 2, 6, 2, 2, 6, 2, 10, 6, 2, 6, 10, 10, 1, 10, 1, 10, 1, 1, 6, 10, 10, 6, 6, 10, 2, 6, 10, 10, 6, 10, 1, 10, 10, 2, 2, 1, 10, 6, 2, 6, 6, 1, 1, 10, 6, 1, 10, 6, 10, 6, 2, 10, 6, 6, 1, 10, 6, 1, 6, 10, 10, 6, 2, 10, 2, 1, 1, 1, 10, 10, 1, 10, 6, 6, 10, 1, 6, 1, 2, 6, 2, 10, 1, 2, 6, 2, 1, 10, 2, 2, 2, 1, 10, 2, 2, 2, 10, 1, 6, 10, 10, 10, 6, 2, 2, 2, 2, 10, 4, 2, 10, 1, 1, 6, 1, 9, 10, 6, 10, 2, 2, 10, 1, 1, 10, 6, 10, 1, 2, 1, 2, 2, 2, 1, 10, 6, 2, 2, 2, 10, 2, 1, 1, 2, 10, 2, 10, 2, 10, 1, 10, 1, 6, 1, 10, 1, 5, 2, 1, 1, 2, 2, 6, 2, 2, 6, 1, 6, 2, 1, 1, 10, 10, 10, 6, 2, 10, 2, 2, 10, 4, 1, 10, 10, 1, 1, 10, 6, 1, 1, 10, 6, 1, 6, 6, 2, 1, 10, 10, 0, 6, 5, 2, 2, 6, 2, 6, 2, 6, 2, 6, 1, 2, 6, 2, 10, 6, 6, 10, 2, 10, 10, 6, 2, 1, 1, 10, 2, 5, 10, 0, 4, 2, 1, 1, 2, 2, 10, 1, 6, 10, 6, 1, 2, 10, 10, 4, 2, 2, 6, 2, 10, 1, 10, 6, 10, 6, 1, 6, 6, 1, 2, 2, 6, 2, 10, 1, 0, 0, 10, 1, 10, 6, 2, 6, 1, 6, 6, 10, 2, 10, 2, 2, 1, 2, 6, 2, 6, 6, 6, 10, 1, 1, 1, 10, 1, 1, 1, 2, 6, 10, 1, 6, 2, 1, 0, 10, 10, 10, 10, 1, 1, 10, 1, 6, 1, 6, 10, 6, 1, 1, 2, 1, 1, 2, 10, 2, 10, 1, 6, 9, 10, 6, 1, 6, 1, 10, 1, 2, 6, 2, 1, 1, 6, 1, 10, 6, 2, 10, 2, 2, 10, 10, 10, 1, 2, 6, 1, 2, 6, 2, 10, 1, 6, 6, 6, 2, 10, 2, 10, 1, 10, 1, 6, 10, 6, 10, 2, 10, 1, 1, 2, 2, 10, 1, 2, 1, 10, 6, 1, 10, 2, 1, 6, 10, 2, 6, 2, 1, 6, 1, 6, 2, 0, 2, 1, 2, 2, 1, 2, 6, 6, 2, 1, 10, 2, 10, 1, 6, 1, 2, 6, 2, 2, 6, 6, 2, 6, 1, 1, 6, 6, 10, 2, 2, 2, 2, 1, 0, 1, 1, 1, 10, 2, 2, 10, 2, 10, 6, 1, 6, 2, 6, 2, 10, 1, 1, 6, 1, 10, 6, 6, 10, 1, 6, 1, 1, 0, 10, 0, 6, 10, 10, 6, 10, 2, 6, 2, 10, 1, 0, 6, 2, 6, 6, 6, 2, 2, 2, 4, 2, 10, 1, 2, 6, 6, 6, 6, 10, 1, 1, 10, 10, 10, 10, 2, 6, 1, 1, 10, 2, 1, 1, 2, 10, 2, 1, 1, 10, 2, 1, 10, 6, 6, 10, 10, 10, 1, 10, 6, 6, 6, 2, 10, 1, 2, 10, 10, 6, 1, 6, 1, 10, 1, 1, 1, 1, 6, 2, 10, 10, 6, 1, 1, 1, 10, 2, 6, 2, 2, 2, 6, 2, 1, 10, 10, 6, 6, 6, 2, 6, 4, 6, 6, 10, 5, 6, 10, 1, 6, 6, 10, 6, 2, 10, 1, 10, 1, 2, 2, 6, 2, 2, 1, 2, 6, 2, 0, 2, 2, 6, 1, 10, 2, 2, 1, 1, 2, 10, 9, 10, 2, 1, 10, 1, 10, 2, 2, 6, 1, 10, 1, 2, 1, 10, 10, 2, 2, 1, 1, 6, 1, 10, 6, 2, 6, 10, 2, 6, 10, 6, 10, 1, 2, 1, 10, 10, 2, 2, 2, 10, 2, 10, 10, 2, 6, 2, 2, 10, 10, 1, 1, 6, 1, 10, 2, 6, 6, 1, 6, 10, 6, 1, 8, 1, 6, 6, 1, 10, 2, 1, 6, 1, 10, 10, 10, 6, 6, 6, 6, 10, 0, 10, 6, 10, 6, 1, 2, 1, 10, 2, 2, 2, 1, 2, 1, 6, 2, 10, 6, 1, 2, 2, 2, 6, 1, 10, 10, 1, 6, 1, 6, 1, 1, 6, 10, 2, 2, 2, 6, 1, 6, 2, 1, 6, 2, 2, 1, 10, 10, 1, 10, 1, 6, 2, 10, 2, 10, 10, 2, 9, 10, 10, 10, 1, 4, 10, 6, 2, 2, 2, 1, 6, 2, 2, 10, 1, 1, 6, 6, 10, 6, 6, 2, 1, 10, 6, 2, 10, 2, 2, 1, 1, 10, 2, 6, 1, 2, 1, 2, 1, 6, 6, 6, 6, 6, 10, 2, 10, 2, 6, 60, 6, 1, 10, 6, 6, 1, 2, 10, 2, 1, 1, 2, 10, 2, 2, 1, 1, 6, 6, 1, 6, 1, 6, 10, 2, 2, 10, 9, 10, 6, 2, 10, 9, 10, 2, 2, 6, 1, 10, 2, 6, 6, 10, 1, 6, 10, 10, 6, 6, 10, 6, 6, 4, 1, 2, 6, 5, 6, 2, 1, 2, 6, 2, 9, 10, 10, 0, 10, 6, 6, 10, 5, 1, 2, 2, 1, 2, 1, 6, 2, 2, 6, 10, 2, 10, 10, 1, 10, 10, 1, 1, 1, 1, 10, 10, 10, 2, 10, 6, 2, 9, 10, 6, 2, 6, 6, 10, 1, 6, 1, 1, 1, 6, 10, 1, 2, 10, 1, 10, 1, 2, 1, 0, 10, 1, 6, 2, 1, 6, 1, 2, 4, 1, 6, 1, 1, 10, 6, 2, 2, 1, 10, 1, 1, 6, 6, 10, 1, 6, 2, 2, 1, 2, 2, 2, 2, 10, 1, 2, 10, 1, 2, 1, 2, 1, 6, 2, 10, 10, 1, 6, 10, 9, 6, 10, 1, 10, 0, 1, 6, 2, 2, 1, 5, 2, 6, 2, 1, 1, 2, 10, 2, 6, 1, 10, 6, 10, 1, 2, 10, 2, 0, 1, 6, 10, 1, 6, 2, 2, 1, 6, 2, 2, 10, 10, 10, 10, 1, 10, 10, 10, 1, 5, 1, 6, 6, 2, 2, 2, 2, 10, 6, 5, 10, 10, 10, 10, 2, 10, 6, 10, 6, 10, 1, 6, 6, 6, 2, 2, 10, 1, 6, 10, 10, 10, 6, 9, 10, 10, 6, 2, 2, 10, 6, 6, 6, 6, 6, 2, 4, 10, 1, 6, 2, 1, 2, 10, 1, 1, 2, 10, 6, 1, 6, 6, 2, 10, 2, 10, 0, 2, 1, 10, 10, 6, 1, 9, 10, 1, 6, 2, 10, 2, 2, 2, 1, 10, 2, 6, 10, 2, 10, 2, 10, 1, 2, 6, 2, 6, 10, 2, 6, 6, 6, 6, 10, 10, 1, 1, 1, 6, 2, 6, 2, 2, 1, 1, 1, 10, 1, 1, 2, 10, 6, 10, 6, 10, 10, 6, 9, 6, 2, 6, 1, 1, 2, 1, 2, 10, 1, 10, 6, 6, 10, 2, 6, 2, 10, 6, 6, 10, 10, 10, 2, 2, 10, 2, 2, 2, 6, 10, 2, 10, 10, 1, 1, 10, 1, 6, 6, 6, 10, 6, 2, 2, 0, 6, 6, 6, 6, 10, 10, 1, 6, 10, 6, 6, 2, 6, 6, 1, 2, 1, 6, 6, 10, 6, 10, 10, 1, 6, 1, 2, 1, 6, 1, 1, 2, 2, 10, 1, 1, 6, 2, 6, 6, 10, 2, 10, 6, 10, 10, 6, 10, 10, 6, 10, 2, 10, 1, 1, 10, 10, 2, 1, 10, 10, 6, 10, 1, 2, 6, 6, 2, 2, 2, 6, 2, 10, 6, 6, 10, 2, 2, 10, 1, 2, 2, 1, 1, 6, 6, 1, 10, 5, 2, 1, 6, 2, 1, 10, 2, 6, 6, 1, 10, 6, 2, 10, 10, 6, 10, 6, 6, 2, 6, 6, 2, 10, 6, 6, 1, 6, 10, 1, 10, 2, 10, 1, 2, 6, 2, 9, 6, 6, 1, 9, 2, 2, 2, 2, 6, 1, 10, 6, 2, 1, 6, 6, 2, 6, 6, 6, 10, 10, 6, 2, 1, 6, 10, 2, 6, 1, 5, 6, 6, 1, 2, 6, 10, 6, 1, 1, 1, 10, 1, 6, 2, 2, 1, 1, 10, 2, 1, 1, 6, 1, 6, 10, 1, 1, 2, 10, 6, 1, 6, 2, 10, 2, 1, 1, 6, 5, 6, 2, 1, 10, 2, 6, 1, 6, 1, 2, 1, 2, 10, 9, 10, 1, 6, 1, 6, 10, 2, 10, 2, 10, 1, 2, 10, 1, 1, 10, 6, 2, 2, 10, 2, 10, 10, 10, 6, 1, 6, 6, 6, 6, 1, 6, 10, 1, 6, 10, 10, 2, 2, 1, 1, 6, 2, 2, 1, 1, 10, 2, 2, 6, 1, 1, 6, 6, 6, 10, 10, 6, 10, 10, 1, 10, 6, 10, 1, 1, 6, 6, 6, 1, 10, 10, 1, 6, 1, 10, 1, 6, 6, 6, 10, 2, 10, 10, 1, 1, 10, 10, 6, 1, 1, 2, 2, 10, 10, 1, 2, 10, 1, 1, 2, 2, 10, 1, 6, 10, 6, 10, 2, 2, 10, 10, 1, 6, 1, 2, 2, 10, 10, 2, 6, 10, 9, 10, 1, 10, 2, 1, 2, 6, 10, 10, 10, 1, 1, 10, 2, 1, 10, 2, 6, 1, 2, 6, 6, 1, 2, 1, 1, 10, 2, 2, 6, 1, 2, 2, 6, 2, 1, 1, 10, 6, 1, 6, 10, 1, 1, 10, 2, 6, 2, 2, 6, 6, 1, 0, 10, 1, 2, 2, 10, 1, 1, 6, 6, 1, 10, 1, 10, 10, 1, 2, 1, 2, 2, 1, 6, 6, 10, 10, 1, 2, 2, 1, 1, 2, 2, 2, 1, 6, 6, 6, 1, 1, 10, 10, 6, 6, 10, 1, 1, 2, 6, 6, 6, 6, 10, 1, 2, 1, 2, 1, 1, 1, 1, 10, 6, 10, 10, 10, 10, 6, 2, 10, 10, 6, 10, 1, 1, 10, 6, 2, 10, 6, 2, 1, 2, 10, 1, 1, 2, 1, 2, 1, 1, 2, 1, 6, 1, 10, 6, 2, 6, 6, 6, 6, 6, 6, 10, 1, 10, 6, 1, 6, 1, 2, 6, 2, 1, 2, 2, 10, 10, 2, 6, 6, 6, 6, 6, 6, 6, 2, 1, 2, 6, 2, 1, 6, 2, 6, 10, 10, 2, 1, 2, 10, 10, 1, 10, 2, 10, 6, 1, 1, 6, 2, 10, 10, 10, 10, 10, 10, 6, 6, 2, 1, 1, 1, 1, 6, 2, 6, 6, 1, 1, 2, 6, 2, 5, 6, 6, 6, 6, 1, 1, 6, 6, 10, 1, 10, 6, 10, 6, 1, 6, 1, 1, 1, 6, 1, 6, 2, 2, 0, 2, 2, 2, 6, 10, 10, 10, 10, 2, 4, 6, 10, 6, 1, 2, 6, 6, 6, 1, 1, 6, 6, 1, 6, 2, 10, 10, 6, 10, 1, 6, 6, 1, 6, 1, 1, 10, 6, 1, 0, 2, 1, 2, 2, 10, 1, 10, 1, 2, 10, 1, 6, 6, 2, 6, 2, 10, 2, 2, 2, 1, 1, 1, 10, 1, 10, 1, 10, 1, 6, 2, 2, 6, 1, 10, 6, 1, 1, 10, 2, 6, 2, 1, 1, 2, 2, 2, 2, 2, 10, 6, 1, 2, 2, 1, 1, 10, 10, 6, 6, 2, 6, 1, 6, 2, 2, 2, 2, 1, 6, 10, 2, 6, 6, 10, 6, 1, 10, 6, 2, 10, 10, 10, 2, 10, 6, 10, 6, 6, 6, 10, 1, 2, 5, 10, 10, 2, 1, 2, 10, 10, 1, 1, 1, 10, 1, 2, 10, 2, 6, 10, 10, 1, 1, 6, 0, 2, 6, 10, 10, 6, 1, 1, 6, 10, 1, 1, 10, 6, 10, 2, 2, 6, 1, 2, 10, 10, 10, 6, 6, 6, 10, 1, 6, 2, 6, 10, 10, 1, 1, 10, 10, 10, 1, 10, 10, 6, 6, 2, 10, 10, 1, 6, 6, 10, 6, 10, 10, 2, 6, 1, 2, 10, 1, 1, 10, 10, 10, 2, 6, 10, 10, 1, 6, 6, 1, 1, 10, 2, 2, 1, 1, 2, 6, 10, 1, 6, 1, 1, 2, 6, 1, 2, 1, 6, 1, 2, 2, 2, 10, 1, 6, 2, 2, 2, 10, 2, 2, 2, 1, 1, 10, 6, 2, 10, 4, 2, 2, 1, 2, 1, 1, 2, 1, 1, 6, 10, 10, 1, 1, 2, 1, 6, 10, 10, 1, 6, 2, 10, 2, 6, 1, 1, 1, 5, 2, 10, 2, 10, 1, 10, 1, 6, 2, 2, 6, 10, 10, 10, 1, 10, 10, 1, 2, 2, 4, 6, 10, 4, 2, 1, 1, 6, 10, 6, 1, 1, 6, 6, 6, 2, 10, 2, 1, 2, 1, 10, 6, 2, 10, 1, 6, 6, 1, 10, 6, 10, 6, 10, 2, 6, 1, 0, 2, 1, 10, 2, 6, 1, 6, 1, 1, 6, 1, 10, 2, 1, 10, 1, 6, 10, 6, 10, 1, 6, 6, 1, 10, 2, 10, 2, 4, 6, 2, 6, 10, 2, 2, 6, 6, 10, 2, 1, 10, 1, 1, 1, 1, 2, 6, 2, 1, 1, 1, 6, 1, 6, 6, 10, 10, 10, 10, 10, 10, 10, 2, 10, 1, 1, 10, 10, 4, 1, 6, 9, 10, 2, 1, 10, 1, 6, 2, 1, 2, 2, 6, 10, 2, 10, 1, 1, 1, 2, 2, 2, 2, 1, 10, 2, 1, 1, 1, 1, 2, 1, 2, 1, 10, 10, 6, 10, 1, 10, 10, 10, 10, 10, 2, 2, 10, 10, 2, 1, 2, 2, 1, 6, 2, 10, 10, 2, 10, 1, 6, 1, 1, 5, 2, 6, 60, 1, 1, 10, 6, 6, 1, 10, 2, 10, 6, 10, 2, 1, 6, 10, 1, 2, 2, 10, 1, 2, 10, 1, 1, 1, 2, 10, 1, 1, 10, 2, 2, 6, 10, 6, 10, 2, 2, 10, 1, 6, 6, 6, 6, 1, 10, 1, 1, 6, 5, 6, 6, 10, 1, 1, 10, 2, 4, 10, 2, 6, 10, 6, 2, 1, 10, 1, 2, 6, 2, 2, 2, 2, 10, 6, 2, 2, 2, 6, 10, 6, 1, 6, 6, 2, 10, 10, 2, 2, 1, 2, 10, 10, 10, 1, 6, 10, 10, 2, 1, 10, 2, 6, 1, 1, 1, 6, 2, 1, 1, 2, 1, 6, 1, 1, 1, 6, 10, 1, 1, 6, 10, 10, 10, 6, 5, 10, 0, 10, 2, 2, 2, 10, 1, 1, 1, 6, 10, 6, 1, 2, 1, 1, 10, 6, 0, 6, 1, 0, 10, 6, 6, 1, 6, 1, 6, 2, 6, 6, 10, 6, 1, 10, 10, 2, 6, 6, 6, 10, 0, 2, 10, 6, 2, 1, 2, 2, 1, 2, 1, 6, 2, 1, 1, 6, 1, 10, 10, 10, 1, 6, 6, 10, 2, 5, 6, 10, 1, 6, 6, 10, 9, 6, 6, 1, 2, 1, 2, 1, 1, 10, 1, 10, 10, 2, 1, 0, 10, 10, 10, 1, 10, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 10, 1, 2, 6, 2, 6, 6, 1, 10, 1, 1, 10, 6, 2, 6, 4, 2, 2, 2, 6, 10, 6, 10, 10, 6, 1, 10, 6, 10, 10, 6, 6, 10, 10, 1, 5, 4, 4, 6, 2, 6, 6, 1, 1, 1, 1, 10, 10, 10, 10, 1, 10, 6, 2, 2, 1, 6, 1, 10, 2, 10, 2, 2, 2, 1, 6, 2, 2, 6, 10, 2, 10, 10, 10, 10, 10, 5, 1, 10, 2, 10, 10, 1, 1, 2, 10, 2, 2, 6, 1, 6, 6, 10, 10, 2, 6, 2, 2, 10, 6, 6, 4, 2, 6, 2, 6, 10, 2, 1, 2, 6, 10, 1, 10, 10, 6, 4, 6, 1, 6, 1, 10, 10, 1, 2, 10, 6, 6, 2, 6, 1, 10, 6, 2, 6, 6, 1, 1, 2, 10, 1, 1, 2, 2, 1, 2, 2, 10, 4, 6, 2, 10, 5, 1, 10, 1, 1, 6, 6, 1, 10, 1, 6, 2, 1, 1, 10, 10, 1, 10, 1, 1, 6, 10, 2, 2, 10, 10, 1, 6, 1, 10, 6, 6, 2, 1, 2, 10, 2, 2, 10, 6, 10, 6, 10, 10, 1, 6, 5, 2, 2, 1, 2, 9, 1, 6, 1, 6, 6, 6, 1, 9, 1, 2, 2, 1, 2, 10, 6, 10, 6, 6, 2, 1, 6, 10, 2, 2, 10, 1, 6, 2, 6, 1, 1, 6, 2, 6, 10, 6, 10, 10, 10, 1, 10, 10, 6, 2, 6, 2, 10, 5, 6, 6, 1, 6, 6, 6, 1, 1, 1, 10, 1, 1, 10, 1, 2, 1, 2, 6, 2, 10, 10, 10, 1, 10, 1, 10, 2, 1, 1, 6, 10, 2, 2, 1, 2, 10, 10, 6, 5, 2, 6, 2, 10, 10, 2, 6, 6, 2, 6, 6, 6, 2, 2, 2, 10, 10, 2, 10, 2, 1, 5, 1, 6, 2, 2, 1, 6, 2, 6, 1, 1, 6, 2, 2, 2, 9, 10, 10, 1, 1, 1, 10, 10, 10, 2, 6, 10, 10, 1, 10, 6, 10, 2, 1, 2, 1, 9, 2, 2, 1, 6, 10, 10, 10, 10, 10, 10, 10, 2, 10, 1, 1, 6, 6, 1, 2, 10, 2, 10, 6, 1, 10, 6, 2, 1, 1, 2, 2, 6, 6, 1, 1, 2, 1, 6, 2, 2, 6, 2, 6, 2, 10, 6, 10, 1, 6, 1, 5, 2, 10, 6, 10, 6, 1, 10, 2, 1, 2, 2, 6, 2, 1, 10, 0, 10, 2, 1, 1, 10, 10, 10, 6, 10, 6, 6, 6, 1, 10, 6, 2, 1, 1, 1, 5, 10, 6, 6, 5, 2, 2, 10, 1, 1, 10, 10, 4, 6, 10, 1, 2, 2, 1, 6, 1, 2, 10, 1, 10, 1, 6, 6, 10, 1, 0, 10, 2, 2, 2, 1, 1, 10, 6, 6, 6, 2, 1, 2, 6, 2, 2, 2, 6, 6, 1, 1, 6, 6, 2, 6, 2, 9, 10, 6, 10, 10, 10, 1, 10, 1, 2, 2, 5, 1, 1, 6, 10, 10, 6, 6, 1, 1, 6, 1, 10, 1, 6, 1, 2, 2, 1, 2, 6, 10, 6, 10, 1, 10, 1, 10, 6, 10, 6, 6, 2, 6, 6, 2, 2, 2, 10, 2, 1, 6, 10, 10, 2, 1, 6, 10, 6, 6, 6, 1, 2, 6, 6, 1, 10, 10, 10, 2, 2, 2, 6, 1, 6, 6, 2, 6, 6, 1, 10, 10, 10, 2, 6, 6, 1, 1, 10, 1, 1, 2, 6, 0, 1, 10, 1, 6, 10, 10, 1, 6, 1, 2, 1, 6, 6, 1, 6, 1, 10, 2, 1, 6, 2, 10, 1, 6, 2, 2, 0, 6, 1, 2, 6, 1, 6, 2, 2, 10, 6, 6, 6, 1, 1, 1, 2, 10, 6, 6, 2, 1, 6, 2, 1, 6, 2, 10, 10, 2, 2, 6, 1, 10, 6, 2, 1, 10, 10, 1, 2, 1, 10, 1, 1, 1, 10, 2, 2, 2, 2, 2, 6, 1, 1, 1, 1, 6, 6, 6, 10, 10, 10, 6, 1, 1, 2, 1, 2, 1, 10, 6, 2, 6, 1, 2, 2, 1, 1, 10, 10, 1, 2, 10, 10, 6, 4, 1, 6, 1, 2, 1, 1, 10, 2, 10, 6, 10, 2, 10, 6, 10, 10, 6, 2, 6, 10, 2, 6, 6, 6, 2, 6, 6, 1, 10, 2, 1, 2, 6, 1, 1, 6, 1, 1, 10, 2, 10, 6, 6, 2, 2, 1, 9, 5, 2, 2, 1, 2, 6, 10, 2, 10, 10, 2, 10, 1, 10, 2, 2, 2, 1, 2, 10, 1, 6, 10, 0, 10, 10, 2, 6, 1, 6, 1, 10, 6, 1, 2, 0, 4, 2, 6, 10, 6, 1, 10, 2, 10, 2, 10, 10, 10, 10, 6, 10, 2, 10, 1, 10, 10, 6, 6, 2, 6, 10, 2, 10, 1, 2, 6, 6, 1, 10, 6, 2, 1, 2, 2, 1, 10, 2, 5, 2, 10, 10, 1, 10, 2, 1, 10, 6, 6, 1, 5, 2, 2, 6, 1, 2, 1, 10, 2, 0, 1, 2, 6, 10, 6, 10, 6, 1, 1, 10, 2, 1, 0, 6, 1, 6, 1, 0, 2, 10, 10, 1, 1, 6, 2, 10, 2, 10, 6, 2, 1, 1, 1, 10, 2, 10, 1, 6, 2, 2, 1, 6, 6, 10, 6, 6, 2, 6, 2, 6, 2, 10, 5, 10, 6, 6, 6, 1, 2, 6, 6, 2, 1, 1, 1, 10, 2, 2, 2, 2, 6, 1, 10, 2, 2, 1, 10, 1, 6, 2, 6, 60, 6, 6, 10, 10, 10, 1, 2, 10, 2, 1, 2, 2, 10, 10, 10, 10, 10, 2, 1, 6, 6, 6, 1, 2, 6, 1, 2, 10, 2, 6, 1, 10, 9, 10, 1, 6, 6, 2, 10, 2, 1, 2, 1, 2, 6, 2, 10, 6, 1, 2, 10, 10, 10, 2, 6, 2, 1, 10, 2, 2, 1, 6, 10, 1, 10, 10, 1, 2, 6, 10, 2, 6, 1, 10, 6, 6, 10, 2, 1, 1, 10, 1, 2, 1, 2, 6, 2, 1, 6, 6, 2, 10, 6, 1, 10, 2, 1, 10, 1, 10, 2, 1, 6, 2, 1, 1, 10, 10, 2, 10, 2, 1, 6, 10, 6, 6, 1, 6, 6, 2, 6, 60, 10, 1, 10, 1, 2, 2, 1, 10, 1, 2, 6, 10, 10, 10, 6, 1, 10, 10, 2, 10, 10, 1, 10, 2, 2, 6, 1, 6, 1, 2, 1, 10, 10, 2, 6, 1, 10, 1, 10, 2, 2, 2, 6, 6, 10, 6, 10, 4, 1, 10, 6, 1, 6, 2, 1, 2, 10, 6, 2, 1, 1, 2, 2, 2, 2, 6, 6, 10, 10, 10, 6, 2, 1, 2, 2, 10, 6, 6, 2, 10, 1, 2, 1, 2, 1, 1, 2, 10, 10, 2, 6, 6, 2, 10, 1, 10, 2, 2, 6, 10, 6, 1, 1, 10, 6, 6, 10, 0, 2, 1, 10, 10, 6, 2, 1, 9, 6, 1, 2, 6, 2, 10, 1, 10, 10, 6, 6, 1, 6, 2, 9, 2, 1, 2, 1, 1, 1, 1, 2, 6, 2, 2, 10, 2, 6, 10, 6, 1, 10, 10, 2, 6, 5, 2, 6, 1, 10, 0, 10, 1, 10, 10, 1, 6, 2, 1, 6, 2, 10, 6, 2, 10, 1, 6, 6, 6, 2, 2, 4, 6, 1, 1, 1, 6, 0, 2, 1, 6, 10, 1, 1, 2, 10, 0, 2, 1, 6, 10, 10, 6, 10, 1, 10, 2, 10, 6, 1, 2, 10, 10, 10, 10, 2, 6, 10, 1, 1, 10, 2, 1, 1, 2, 10, 1, 2, 1, 2, 10, 2, 10, 2, 6, 6, 6, 6, 6, 1, 10, 6, 1, 2, 1, 3, 1, 6, 1, 6, 10, 1, 2, 10, 1, 2, 1, 1, 1, 10, 10, 2, 2, 6, 1, 1, 10, 6, 4, 10, 1, 2, 10, 6, 2, 6, 1, 2, 6, 4, 6, 1, 10, 2, 6, 6, 2, 1, 10, 1, 6, 1, 10, 6, 2, 1, 6, 6, 6, 10, 10, 10, 1, 1, 6, 6, 6, 10, 2, 1, 10, 10, 10, 2, 6, 10, 1, 10, 10, 6, 6, 2, 10, 2, 2, 1, 10, 10, 1, 1, 1, 10, 6, 1, 2, 1, 6, 1, 0, 5, 10, 10, 6, 6, 1, 6, 1, 6, 10, 10, 1, 6, 2, 0, 1, 6, 10, 0, 10, 1, 2, 6, 6, 1, 6, 10, 6, 10, 1, 6, 2, 2, 2, 10, 1, 10, 1, 10, 10, 2, 10, 10, 1, 2, 10, 6, 6, 1, 6, 6, 2, 10, 6, 10, 6, 6, 1, 10, 1, 2, 10, 6, 2, 2, 0, 10, 6, 10, 9, 1, 2, 1, 1, 10, 2, 2, 2, 0, 1, 9, 10, 1, 1, 1, 1, 2, 10, 6, 1, 6, 10, 1, 6, 10, 6, 1, 2, 10, 1, 1, 10, 10, 10, 6, 1, 1, 10, 1, 1, 1, 10, 5, 10, 1, 10, 10, 10, 1, 1, 2, 10, 2, 2, 6, 1, 1, 1, 1, 6, 2, 10, 10, 10, 6, 6, 1, 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1, 1, 1, 10, 2, 6, 1, 10, 6, 1, 10, 10, 6, 2, 2, 1, 6, 1, 1, 1, 2, 2, 1, 10, 10, 6, 2, 1, 2, 10, 1, 2, 2, 6, 6, 5, 50, 1, 2, 2, 2, 10, 2, 2, 10, 10, 1, 10, 6, 10, 10, 5, 1, 10, 10, 6, 1, 6, 1, 1, 6, 1, 10, 1, 2, 2, 10, 6, 2, 6, 2, 10, 1, 10, 2, 6, 2, 10, 2, 1, 2, 6, 10, 6, 2, 6, 6, 6, 6, 1, 10, 1, 10, 1, 6, 2, 2, 2, 1, 6, 1, 2, 6, 6, 10, 2, 1, 6, 6, 6, 1, 10, 6, 6, 1, 1, 6, 2, 10, 1, 1, 1, 2, 2, 10, 1, 1, 2, 0, 1, 10, 1, 10, 2, 10, 6, 2, 6, 2, 6, 10, 10, 6, 1, 1, 2, 6, 1, 2, 2, 10, 6, 10, 2, 2, 10, 1, 1, 6, 2, 10, 6, 1, 1, 8, 6, 2, 1, 2, 6, 10, 1, 10, 6, 10, 1, 10, 1, 1, 2, 6, 1, 10, 2, 1, 2, 1, 10, 2, 2, 1, 10, 1, 1, 1, 6, 1, 2, 6, 10, 2, 2, 6, 6, 2, 10, 1, 2, 1, 6, 10, 1, 10, 1, 10, 6, 6, 2, 2, 10, 10, 6, 10, 2, 2, 1, 6, 1, 1, 10, 2, 1, 1, 1, 4, 1, 10, 6, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 6, 1, 2, 2, 10, 2, 1, 10, 2, 1, 6, 10, 10, 2, 6, 1, 1, 1, 2, 10, 10, 6, 10, 1, 10, 6, 1, 2, 1, 6, 1, 1, 2, 2, 2, 10, 6, 10, 2, 1, 2, 0, 10, 6, 1, 1, 10, 1, 10, 2, 6, 1, 0, 10, 10, 10, 10, 6, 1, 6, 9, 10, 6, 1, 1, 1, 9, 10, 2, 6, 6, 10, 1, 10, 10, 10, 2, 10, 10, 1, 10, 6, 6, 10, 1, 2, 6, 1, 2, 2, 1, 10, 2, 2, 2, 2, 10, 10, 10, 2, 1, 2, 6, 1, 6, 6, 6, 1, 2, 2, 6, 1, 1, 2, 6, 1, 1, 10, 6, 1, 10, 2, 10, 2, 10, 2, 6, 6, 6, 2, 6, 10, 6, 10, 6, 1, 1, 6, 6, 2, 1, 2, 10, 10, 2, 1, 1, 6, 6, 2, 10, 2, 6, 1, 2, 1, 6, 2, 2, 10, 6, 1, 1, 10, 6, 6, 2, 1, 6, 10, 10, 1, 10, 6, 6, 2, 6, 1, 1, 1, 10, 1, 6, 2, 1, 1, 6, 2, 10, 6, 2, 6, 1, 2, 0, 1, 2, 6, 1, 6, 2, 1, 6, 1, 6, 6, 1, 2, 10, 1, 6, 1, 2, 2, 6, 1, 2, 6, 10, 10, 2, 1, 6, 1, 6, 2, 1, 2, 2, 10, 2, 6, 2, 10, 2, 2, 1, 2, 6, 10, 1, 10, 1, 2, 2, 1, 1, 1, 1, 10, 10, 2, 6, 2, 6, 1, 1, 2, 1, 6, 2, 1, 2, 1, 2, 2, 2, 6, 2, 2, 10, 1, 2, 6, 1, 1, 1, 1, 1, 10, 2, 2, 10, 1, 1, 1, 6, 6, 10, 1, 6, 1, 10, 6, 10, 1, 2, 1, 6, 2, 1, 1, 2, 6, 1, 2, 2, 9, 2, 6, 1, 2, 1, 2, 1, 1, 10, 2, 1, 1, 1, 6, 10, 10, 2, 1, 1, 1, 10, 6, 0, 2, 6, 2, 9, 6, 10, 6, 2, 6, 6, 10, 1, 1, 10, 6, 1, 6, 4, 1, 10, 6, 10, 1, 1, 10, 1, 6, 1, 6, 1, 1, 10, 0, 2, 2, 2, 10, 1, 1, 10, 6, 10, 1, 10, 2, 6, 1, 2, 2, 6, 1, 6, 2, 6, 6, 1, 6, 6, 6, 10, 10, 10, 1, 1, 2, 2, 2, 2, 6, 2, 10, 2, 6, 2, 10, 2, 10, 2, 10, 0, 1, 2, 10, 10, 10, 10, 2, 1, 10, 1, 2, 6, 5, 6, 6, 2, 4, 1, 2, 2, 6, 2, 6, 2, 6, 1, 1, 2, 2, 1, 1, 1, 6, 2, 6, 10, 1, 2, 6, 2, 6, 2, 1, 2, 2, 2, 2, 2, 6, 6, 10, 6, 6, 5, 1, 10, 2, 1, 6, 10, 6, 10, 1, 6, 6, 2, 1, 1, 1, 6, 6, 1, 1, 2, 1, 10, 10, 10, 10, 6, 10, 10, 2, 2, 1, 10, 2, 10, 1, 2, 2, 1, 2, 6, 1, 1, 10, 1, 10, 6, 1, 6, 2, 1, 10, 2, 1, 1, 10, 1, 1, 6, 1, 10, 10, 9, 6, 6, 9, 1, 1, 10, 6, 1, 1, 6, 10, 2, 10, 10, 2, 6, 2, 2, 10, 1, 0, 2, 10, 2, 10, 2, 1, 6, 10, 2, 10, 5, 10, 1, 1, 10, 6, 2, 10, 6, 10, 0, 10, 10, 10, 1, 1, 2, 1, 10, 10, 6, 1, 10, 1, 10, 10, 2, 6, 6, 10, 6, 1, 1, 10, 6, 6, 6, 2, 6, 6, 6, 6, 10, 6, 10, 1, 6, 1, 1, 2, 6, 6, 2, 10, 6, 1, 10, 6, 6, 1, 8, 10, 1, 1, 10, 2, 2, 1, 10, 1, 1, 10, 1, 10, 6, 6, 1, 1, 0, 6, 10, 4, 6, 4, 6, 1, 10, 10, 4, 10, 4, 6, 6, 2, 10, 10, 1, 1, 2, 2, 6, 6, 10, 6, 1, 1, 1, 10, 2, 1, 6, 6, 1, 2, 6, 10, 1, 10, 2, 1, 6, 2, 1, 2, 1, 1, 4, 1, 10, 10, 1, 10, 1, 6, 1, 6, 6, 2, 6, 2, 10, 10, 1, 2, 1, 10, 9, 1, 2, 6, 1, 2, 1, 10, 1, 6, 1, 2, 6, 10, 2, 1, 6, 5, 1, 6, 10, 6, 1, 2, 9, 2, 10, 6, 2, 6, 1, 6, 2, 1, 6, 6, 6, 10, 10, 6, 10, 2, 1, 6, 2, 10, 2, 4, 1, 1, 2, 6, 1, 1, 2, 10, 10, 10, 1, 2, 1, 6, 6, 1, 1, 6, 1, 6, 6, 6, 1, 2, 1, 10, 10, 6, 10, 6, 6, 2, 1, 10, 10, 2, 1, 1, 1, 1, 6, 10, 10, 2, 2, 6, 10, 2, 2, 2, 2, 6, 10, 6, 6, 10, 10, 2, 1, 6, 2, 6, 2, 1, 10, 6, 6, 2, 1, 10, 10, 1, 2, 1, 2, 6, 6, 6, 2, 1, 10, 2, 2, 2, 2, 6, 1, 6, 10, 1, 6, 6, 10, 2, 1, 10, 10, 10, 1, 6, 2, 10, 1, 10, 0, 1, 10, 2, 2, 10, 9, 1, 1, 2, 10, 2, 6, 9, 10, 2, 6, 1, 10, 10, 1, 1, 2, 2, 2, 6, 1, 1, 1, 6, 10, 1, 10, 2, 10, 6, 10, 6, 10, 2, 10, 10, 2, 1, 10, 2, 10, 2, 2, 2, 1, 2, 2, 10, 5, 1, 0, 1, 6, 6, 6, 10, 2, 6, 1, 6, 6, 10, 10, 2, 1, 10, 6, 6, 2, 1, 10, 6, 6, 6, 1, 10, 1, 6, 10, 5, 10, 2, 10, 2, 2, 10, 10, 6, 1, 10, 2, 2, 10, 4, 10, 2, 6, 2, 10, 6, 10, 1, 2, 10, 2, 2, 1, 6, 6, 1, 1, 2, 10, 6, 6, 2, 2, 6, 6, 2, 10, 2, 10, 2, 10, 1, 9, 6, 2, 10, 10, 2, 1, 2, 2, 1, 2, 6, 2, 1, 1, 10, 1, 6, 2, 1, 1, 6, 2, 1, 2, 6, 2, 1, 2, 2, 10, 6, 10, 6, 9, 10, 6, 2, 10, 10, 1, 1, 1, 10, 2, 1, 10, 10, 6, 10, 1, 10, 2, 2, 1, 2, 2, 6, 10, 2, 6, 10, 10, 10, 6, 10, 6, 2, 6, 6, 6, 6, 6, 10, 6, 6, 4, 2, 6, 1, 2, 2, 1, 1, 2, 10, 4, 1, 2, 2, 2, 6, 10, 2, 2, 6, 1, 10, 2, 6, 2, 1, 6, 1, 10, 10, 2, 2, 1, 10, 2, 6, 6, 1, 10, 6, 1, 1, 2, 10, 10, 2, 1, 0, 2, 1, 10, 2, 1, 6, 6, 2, 1, 2, 10, 10, 2, 6, 10, 6, 2, 10, 6, 10, 1, 2, 1, 1, 1, 10, 10, 1, 4, 1, 6, 2, 9, 6, 10, 6, 2, 6, 10, 1, 10, 2, 6, 2, 6, 10, 2, 6, 10, 10, 1, 6, 6, 1, 1, 1, 2, 4, 6, 10, 10, 1, 6, 6, 10, 9, 9, 6, 10, 6, 1, 6, 6, 1, 10, 1, 1, 10, 1, 6, 2, 2, 10, 1, 10, 2, 4, 2, 6, 2, 2, 10, 2, 10, 2, 10, 1, 6, 6, 6, 10, 6, 2, 2, 2, 6, 10, 6, 1, 6, 10, 1, 6, 1, 1, 1, 10, 2, 1, 1, 6, 6, 1, 1, 2, 6, 6, 2, 6, 10, 2, 6, 1, 10, 10, 6, 10, 2, 1, 3, 6, 10, 2, 1, 1, 2, 1, 6, 2, 1, 10, 1, 1, 10, 2, 1, 1, 10, 1, 6, 10, 10, 6, 10, 1, 2, 1, 10, 1, 10, 1, 2, 1, 2, 6, 10, 6, 1, 6, 10, 10, 1, 6, 10, 10, 10, 1, 1, 6, 10, 0, 2, 6, 6, 10, 10, 1, 1, 10, 1, 2, 1, 6, 2, 6, 6, 2, 2, 6, 2, 6, 10, 2, 6, 2, 10, 0, 6, 1, 1, 2, 6, 2, 2, 10, 10, 1, 10, 6, 10, 2, 4, 10, 10, 2, 1, 2, 6, 1, 9, 6, 1, 6, 6, 6, 1, 10, 6, 10, 10, 10, 6, 2, 1, 2, 6, 1, 6, 1, 1, 2, 10, 2, 2, 1, 4, 10, 6, 10, 1, 2, 1, 2, 10, 10, 2, 6, 10, 6, 2, 6, 1, 6, 1, 2, 10, 1, 10, 6, 10, 10, 6, 10, 10, 1, 6, 10, 2, 6, 6, 6, 6, 1, 6, 10, 1, 2, 6, 10, 1, 1, 2, 2, 1, 6, 6, 1, 2, 1, 6, 1, 2, 1, 6, 2, 2, 10, 2, 6, 1, 10, 2, 6, 1, 6, 10, 6, 2, 6, 6, 6, 1, 2, 1, 1, 6, 6, 5, 6, 6, 10, 2, 6, 6, 6, 6, 6, 6, 6, 10, 10, 6, 6, 6, 2, 1, 10, 1, 1, 6, 6, 10, 6, 2, 6, 6, 6, 2, 2, 1, 2, 2, 6, 10, 10, 2, 9, 1, 2, 10, 1, 2, 10, 10, 10, 10, 6, 2, 10, 2, 10, 6, 1, 2, 6, 6, 6, 10, 2, 1, 10, 2, 2, 10, 2, 1, 10, 10, 2, 6, 2, 1, 10, 6, 1, 6, 1, 6, 1, 1, 10, 1, 2, 6, 2, 10, 1, 1, 2, 2, 1, 10, 2, 6, 10, 2, 1, 2, 1, 1, 6, 2, 2, 10, 1, 1, 1, 6, 1, 1, 6, 6, 6, 5, 6, 10, 2, 6, 1, 10, 10, 2, 6, 1, 10, 2, 6, 2, 10, 10, 5, 1, 6, 10, 2, 1, 2, 1, 2, 2, 6, 2, 6, 6, 2, 6, 2, 2, 2, 1, 10, 10, 1, 2, 6, 1, 6, 10, 2, 1, 2, 2, 1, 1, 10, 10, 6, 10, 2, 6, 6, 10, 10, 6, 1, 6, 2, 6, 10, 2, 5, 10, 6, 0, 1, 6, 2, 6, 2, 2, 10, 6, 6, 2, 1, 1, 1, 1, 6, 6, 2, 2, 6, 1, 2, 10, 10, 1, 9, 9, 10, 2, 10, 6, 2, 6, 10, 2, 10, 10, 1, 2, 10, 10, 2, 1, 1, 2, 6, 6, 10, 2, 10, 1, 10, 6, 6, 1, 2, 1, 1, 1, 6, 6, 60, 1, 6, 2, 2, 1, 6, 10, 2, 10, 2, 1, 10, 2, 10, 1, 10, 1, 10, 6, 2, 1, 10, 2, 1, 1, 6, 2, 10, 6, 6, 2, 10, 2, 10, 2, 10, 6, 6, 10, 2, 6, 6, 10, 10, 1, 10, 1, 10, 10, 2, 2, 1, 6, 2, 10, 2, 2, 1, 2, 10, 10, 6, 10, 6, 2, 10, 1, 6, 2, 1, 2, 1, 6, 2, 10, 1, 2, 1, 1, 10, 6, 1, 6, 2, 6, 10, 1, 6, 6, 2, 10, 10, 2, 10, 1, 1, 6, 2, 10, 10, 10, 1, 2, 2, 2, 1, 6, 10, 1, 6, 2, 1, 6, 2, 1, 6, 1, 6, 5, 1, 1, 1, 6, 10, 2, 1, 2, 2, 10, 1, 2, 10, 1, 2, 10, 1, 10, 2, 6, 1, 6, 6, 6, 2, 2, 6, 10, 10, 10, 6, 10, 6, 6, 1, 10, 6, 2, 1, 10, 2, 10, 1, 2, 2, 6, 1, 10, 6, 6, 1, 2, 2, 6, 1, 1, 2, 10, 1, 10, 2, 6, 2, 6, 1, 9, 6, 10, 1, 2, 6, 2, 2, 6, 2, 1, 10, 2, 1, 10, 2, 2, 1, 6, 2, 2, 6, 1, 10, 4, 2, 10, 10, 6, 2, 10, 6, 6, 2, 10, 1, 2, 6, 1, 10, 10, 10, 10, 2, 1, 1, 1, 2, 10, 6, 1, 2, 2, 5, 2, 2, 1, 6, 6, 2, 1, 6, 2, 1, 1, 2, 10, 2, 1, 1, 6, 2, 10, 1, 1, 1, 10, 6, 10, 1, 1, 1, 10, 1, 1, 1, 6, 2, 1, 6, 2, 10, 2, 2, 10, 1, 10, 1, 2, 1, 1, 2, 10, 2, 1, 6, 6, 1, 10, 2, 10, 2, 1, 1, 1, 10, 4, 2, 2, 2, 6, 10, 10, 6, 0, 6, 2, 6, 5, 6, 2, 10, 2, 10, 6, 10, 1, 10, 1, 2, 6, 1, 6, 6, 10, 6, 6, 6, 6, 6, 2, 6, 1, 1, 6, 10, 5, 2, 2, 9, 6, 6, 10, 6, 6, 6, 6, 6, 1, 6, 1, 6, 2, 6, 2, 2, 1, 5, 2, 10, 1, 2, 2, 1, 10, 1, 10, 6, 10, 1, 10, 2, 10, 10, 1, 2, 10, 6, 2, 6, 1, 2, 2, 4, 1, 2, 1, 2, 2, 6, 2, 2, 2, 1, 2, 1, 9, 2, 10, 2, 2, 2, 1, 6, 6, 1, 6, 10, 2, 1, 1, 2, 10, 10, 10, 10, 1, 2, 2, 10, 6, 2, 10, 1, 1, 10, 2, 6, 10, 2, 1, 6, 6, 10, 6, 1, 10, 6, 1, 6, 2, 1, 6, 1, 6, 2, 10, 2, 10, 6, 10, 10, 5, 2, 2, 2, 1, 6, 10, 6, 10, 6, 6, 2, 10, 1, 6, 10, 10, 2, 6, 1, 1, 10, 2, 2, 1, 10, 6, 6, 10, 10, 1, 1, 6, 6, 10, 10, 6, 6, 0, 2, 1, 2, 6, 1, 10, 6, 1, 6, 6, 6, 10, 10, 1, 2, 2, 1, 2, 6, 6, 2, 1, 1, 6, 1, 1, 2, 10, 1, 10, 10, 10, 10, 1, 10, 2, 6, 1, 10, 1, 5, 2, 1, 6, 10, 10, 1, 2, 1, 6, 2, 6, 10, 6, 6, 6, 6, 1, 2, 10, 6, 10, 10, 6, 1, 1, 1, 6, 10, 1, 1, 10, 2, 1, 6, 2, 6, 2, 6, 2, 6, 10, 1, 10, 6, 1, 1, 6, 1, 6, 2, 10, 6, 1, 1, 1, 10, 10, 10, 1, 6, 2, 1, 6, 6, 10, 6, 6, 1, 6, 10, 1, 6, 2, 2, 6, 1, 10, 10, 5, 6, 10, 6, 6, 2, 6, 10, 1, 10, 6, 6, 10, 2, 2, 6, 10, 2, 2, 1, 2, 6, 2, 10, 1, 6, 6, 1, 6, 6, 10, 2, 1, 6, 9, 6, 1, 2, 6, 6, 10, 6, 10, 10, 2, 6, 4, 2, 6, 2, 6, 2, 10, 2, 10, 10, 2, 10, 6, 6, 10, 6, 6, 10, 6, 2, 6, 2, 2, 6, 2, 1, 10, 10, 6, 2, 2, 1, 6, 1, 1, 2, 2, 6, 2, 2, 10, 2, 2, 10, 1, 1, 1, 6, 2, 9, 1, 10, 10, 10, 10, 6, 1, 2, 10, 10, 10, 1, 2, 6, 6, 6, 1, 2, 10, 6, 10, 1, 6, 6, 1, 6, 2, 1, 2, 1, 6, 2, 1, 10, 2, 1, 1, 10, 10, 1, 1, 10, 2, 1, 2, 10, 6, 1, 10, 6, 2, 6, 2, 1, 1, 10, 2, 10, 6, 1, 2, 6, 6, 1, 10, 1, 1, 2, 1, 1, 1, 2, 1, 10, 2, 2, 1, 6, 9, 10, 6, 6, 2, 10, 6, 6, 6, 10, 2, 1, 1, 6, 1, 6, 2, 6, 6, 6, 6, 10, 2, 10, 1, 6, 2, 6, 10, 2, 6, 1, 1, 10, 10, 2, 10, 9, 6, 1, 6, 0, 6, 9, 1, 10, 10, 6, 6, 1, 10, 10, 10, 10, 2, 1, 2, 2, 2, 10, 1, 10, 10, 1, 10, 4, 10, 2, 10, 1, 10, 6, 1, 10, 1, 2, 2, 6, 10, 1, 5, 1, 10, 2, 10, 6, 6, 6, 1, 1, 1, 2, 2, 10, 10, 2, 2, 1, 1, 1, 10, 10, 10, 6, 6, 6, 1, 2, 6, 2, 0, 6, 10, 10, 2, 1, 2, 1, 10, 10, 6, 10, 10, 2, 1, 10, 1, 10, 6, 2, 2, 2, 1, 6, 6, 10, 6, 10, 6, 6, 2, 2, 1, 2, 2, 1, 6, 6, 10, 10, 2, 2, 1, 6, 2, 10, 10, 1, 1, 1, 5, 1, 6, 6, 2, 2, 10, 2, 6, 1, 2, 2, 1, 2, 10, 2, 10, 2, 6, 10, 2, 2, 10, 6, 6, 2, 1, 1, 10, 10, 2, 6, 10, 6, 1, 1, 1, 1, 2, 5, 6, 2, 10, 2, 6, 2, 1, 2, 1, 5, 1, 1, 10, 10, 2, 10, 9, 6, 1, 2, 10, 6, 1, 6, 6, 1, 10, 10, 1, 1, 1, 2, 0, 6, 10, 10, 10, 1, 2, 10, 2, 1, 2, 6, 1, 10, 2, 0, 2, 6, 2, 10, 10, 6, 1, 1, 10, 6, 6, 6, 10, 2, 6, 2, 2, 2, 2, 2, 6, 2, 10, 6, 1, 6, 2, 1, 1, 2, 6, 6, 10, 4, 6, 10, 6, 1, 1, 2, 2, 2, 10, 10, 1, 2, 6, 2, 2, 6, 2, 2, 6, 2, 1, 2, 1, 2, 6, 1, 2, 6, 10, 6, 6, 2, 1, 6, 6, 2, 6, 2, 10, 10, 6, 0, 10, 2, 10, 2, 1, 1, 10, 9, 1, 10, 10, 1, 10, 10, 1, 2, 10, 1, 6, 6, 10, 1, 2, 6, 10, 1, 10, 10, 10, 2, 2, 1, 2, 1, 2, 1, 10, 1, 4, 2, 10, 10, 1, 2, 1, 6, 6, 2, 10, 10, 10, 1, 1, 6, 10, 10, 2, 2, 2, 1, 2, 2, 2, 10, 1, 10, 2, 9, 10, 2, 2, 2, 2, 6, 10, 2, 2, 10, 2, 6, 2, 6, 10, 6, 2, 2, 10, 2, 2, 4, 2, 6, 6, 1, 6, 1, 6, 1, 1, 2, 10, 6, 1, 2, 10, 10, 10, 1, 6, 1, 1, 1, 1, 1, 2, 6, 10, 4, 6, 2, 2, 2, 10, 1, 6, 6, 6, 6, 10, 6, 1, 1, 1, 2, 10, 6, 1, 2, 2, 10, 6, 2, 6, 0, 1, 2, 2, 1, 6, 6, 1, 1, 1, 1, 1, 6, 6, 6, 6, 1, 6, 6, 2, 1, 1, 1, 1, 1, 2, 1, 6, 4, 6, 2, 2, 2, 2, 6, 9, 2, 2, 2, 10, 2, 10, 1, 1, 6, 2, 5, 2, 6, 10, 6, 1, 6, 10, 2, 1, 2, 6, 1, 6, 1, 2, 10, 1, 2, 10, 10, 6, 10, 6, 10, 1, 10, 1, 2, 10, 1, 6, 6, 10, 10, 10, 6, 10, 1, 6, 5, 1, 2, 2, 6, 2, 2, 2, 10, 6, 6, 6, 2, 0, 10, 2, 2, 2, 1, 2, 2, 2, 6, 10, 2, 2, 1, 10, 6, 10, 9, 10, 2, 6, 2, 10, 10, 6, 5, 6, 2, 2, 6, 6, 2, 2, 6, 6, 2, 2, 6, 1, 10, 1, 2, 2, 1, 6, 6, 10, 10, 6, 10, 6, 1, 1, 6, 1, 1, 2, 1, 1, 6, 5, 6, 6, 1, 2, 6, 6, 10, 6, 2, 1, 1, 10, 1, 10, 10, 6, 1, 10, 6, 1, 10, 2, 1, 2, 1, 10, 10, 2, 10, 1, 2, 2, 1, 1, 1, 10, 6, 6, 10, 1, 1, 2, 2, 1, 2, 1, 1, 1, 6, 2, 1, 1, 6, 10, 6, 1, 5, 6, 1, 10, 1, 1, 2, 2, 6, 2, 10, 6, 1, 10, 2, 6, 10, 6, 6, 1, 10, 0, 2, 2, 2, 1, 2, 10, 1, 10, 10, 1, 1, 6, 6, 10, 1, 6, 2, 1, 2, 6, 1, 6, 1, 2, 2, 6, 10, 2, 1, 6, 10, 6, 10, 6, 1, 1, 2, 10, 1, 10, 6, 10, 1, 1, 2, 6, 2, 1, 10, 10, 10, 1, 10, 1, 1, 1, 10, 2, 10, 6, 10, 1, 6, 2, 6, 1, 10, 6, 10, 1, 6, 6, 2, 2, 2, 6, 2, 1, 10, 1, 2, 1, 2, 1, 2, 1, 10, 2, 10, 2, 10, 2, 6, 2, 1, 2, 2, 10, 10, 2, 2, 6, 10, 2, 6, 6, 2, 10, 6, 1, 6, 1, 1, 2, 1, 6, 6, 6, 2, 1, 10, 6, 1, 2, 10, 10, 1, 6, 2, 1, 2, 2, 1, 1, 6, 1, 1, 10, 9, 10, 2, 1, 2, 9, 6, 1, 6, 6, 1, 10, 2, 10, 2, 6, 6, 2, 1, 1, 2, 6, 10, 1, 2, 10, 10, 2, 10, 6, 6, 6, 1, 5, 2, 10, 10, 10, 6, 6, 9, 6, 1, 6, 10, 10, 2, 10, 10, 6, 10, 10, 10, 1, 1, 10, 6, 4, 2, 10, 6, 2, 10, 2, 10, 0, 10, 2, 2, 1, 6, 2, 2, 6, 10, 1, 2, 10, 2, 1, 10, 2, 10, 2, 1, 2, 1, 10, 10, 10, 1, 1, 6, 10, 6, 1, 1, 6, 10, 10, 1, 10, 6, 6, 6, 10, 2, 6, 1, 6, 1, 6, 2, 1, 6, 2, 10, 1, 1, 10, 10, 10, 6, 10, 10, 6, 1, 1, 1, 6, 2, 10, 10, 6, 10, 1, 6, 6, 10, 10, 6, 1, 2, 6, 5, 6, 2, 10, 2, 1, 1, 10, 6, 1, 2, 10, 1, 10, 10, 10, 10, 1, 10, 1, 6, 1, 2, 6, 10, 1, 2, 5, 1, 1, 6, 10, 6, 1, 6, 1, 2, 2, 2, 10, 2, 6, 10, 2, 10, 2, 10, 2, 10, 6, 1, 6, 10, 10, 2, 10, 10, 1, 10, 10, 10, 1, 6, 6, 1, 10, 6, 10, 2, 2, 1, 1, 1, 10, 6, 2, 1, 6, 2, 10, 6, 6, 2, 10, 6, 2, 1, 10, 1, 2, 10, 1, 1, 6, 10, 2, 6, 6, 2, 1, 2, 4, 6, 2, 10, 6, 2, 1, 2, 10, 2, 10, 10, 10, 2, 6, 2, 1, 1, 6, 1, 6, 10, 1, 10, 6, 10, 6, 2, 10, 2, 1, 2, 10, 10, 1, 2, 1, 1, 2, 2, 2, 6, 10, 1, 2, 6, 10, 2, 6, 6, 9, 1, 2, 10, 10, 6, 6, 1, 10, 6, 2, 10, 6, 1, 6, 1, 1, 1, 6, 9, 1, 10, 10, 2, 1, 6, 6, 6, 10, 10, 2, 6, 10, 1, 10, 2, 10, 2, 6, 2, 1, 6, 4, 2, 1, 1, 10, 6, 5, 10, 6, 6, 2, 1, 2, 10, 1, 1, 6, 10, 10, 10, 2, 2, 6, 1, 6, 6, 6, 0, 6, 1, 2, 2, 10, 10, 6, 10, 6, 10, 6, 6, 10, 6, 2, 10, 2, 6, 1, 1, 2, 1, 10, 6, 1, 10, 10, 10, 2, 2, 6, 10, 2, 10, 10, 1, 2, 6, 10, 1, 1, 6, 10, 1, 1, 2, 2, 1, 2, 10, 2, 6, 10, 6, 10, 10, 1, 1, 2, 10, 1, 1, 2, 1, 10, 1, 1, 1, 1, 6, 1, 2, 6, 10, 2, 1, 6, 1, 1, 1, 6, 10, 6, 1, 10, 10, 1, 6, 10, 1, 2, 1, 10, 1, 1, 5, 10, 6, 6, 1, 9, 2, 6, 6, 2, 1, 6, 6, 10, 6, 10, 10, 6, 2, 2, 2, 6, 2, 6, 6, 10, 2, 2, 10, 6, 2, 2, 1, 1, 1, 10, 2, 10, 10, 6, 6, 6, 10, 6, 2, 1, 6, 2, 6, 2, 2, 6, 2, 10, 1, 6, 10, 2, 10, 1, 10, 1, 2, 2, 2, 10, 6, 2, 1, 6, 2, 1, 2, 1, 2, 10, 1, 0, 6, 6, 6, 9, 10, 6, 1, 1, 6, 1, 1, 10, 1, 2, 2, 10, 10, 10, 2, 6, 1, 10, 10, 1, 1, 6, 6, 1, 9, 1, 1, 6, 6, 6, 6, 6, 6, 1, 1, 2, 6, 2, 2, 1, 1, 10, 10, 1, 1, 1, 1, 1, 6, 6, 6, 5, 2, 10, 2, 6, 2, 1, 40, 2, 1, 6, 1, 6, 6, 1, 2, 2, 6, 1, 10, 1, 2, 10, 6, 10, 1, 9, 1, 2, 6, 1, 6, 2, 2, 2, 1, 2, 2, 6, 1, 1, 6, 9, 10, 1, 10, 10, 2, 6, 10, 6, 2, 10, 6, 2, 2, 4, 10, 1, 2, 6, 6, 1, 6, 2, 2, 1, 1, 6, 6, 10, 2, 1, 2, 6, 10, 0, 4, 2, 1, 2, 1, 2, 6, 10, 2, 6, 2, 6, 10, 10, 10, 1, 10, 1, 6, 10, 1, 2, 6, 10, 6, 5, 10, 6, 6, 1, 6, 2, 2, 2, 0, 2, 10, 6, 5, 6, 2, 6, 2, 6, 5, 2, 2, 1, 4, 10, 6, 1, 1, 6, 2, 1, 9, 10, 10, 1, 10, 6, 1, 2, 10, 2, 2, 2, 6, 1, 1, 1, 1, 1, 1, 10, 1, 1, 2, 2, 1, 1, 10, 10, 2, 10, 10, 10, 4, 1, 2, 10, 6, 2, 10, 2, 10, 1, 2, 1, 10, 2, 6, 2, 10, 6, 10, 6, 6, 2, 2, 6, 9, 6, 2, 1, 2, 10, 10, 6, 2, 10, 10, 2, 2, 10, 10, 2, 10, 1, 1, 6, 10, 2, 6, 10, 2, 2, 10, 1, 1, 6, 6, 6, 2, 10, 10, 6, 10, 10, 2, 1, 2, 6, 10, 6, 2, 1, 2, 9, 10, 6, 10, 2, 10, 10, 2, 2, 10, 1, 10, 1, 2, 1, 2, 2, 1, 6, 2, 10, 2, 10, 10, 1, 1, 50, 6, 6, 10, 1, 2, 6, 6, 6, 2, 10, 6, 2, 2, 2, 10, 2, 6, 2, 1, 1, 10, 2, 2, 10, 10, 1, 2, 6, 6, 1, 1, 1, 6, 2, 2, 2, 6, 2, 6, 2, 6, 6, 10, 6, 1, 6, 1, 1, 0, 10, 1, 2, 1, 6, 6, 2, 2, 6, 10, 10, 6, 6, 10, 6, 1, 9, 1, 10, 10, 10, 2, 6, 6, 2, 6, 2, 2, 6, 10, 10, 1, 6, 6, 10, 6, 2, 10, 6, 6, 2, 10, 6, 1, 10, 2, 2, 10, 6, 0, 9, 2, 2, 5, 6, 6, 6, 1, 6, 2, 6, 2, 6, 1, 2, 10, 1, 6, 2, 2, 6, 1, 6, 1, 6, 2, 6, 6, 2, 10, 10, 10, 6, 6, 6, 2, 1, 6, 6, 2, 2, 6, 10, 10, 5, 6, 6, 1, 2, 10, 2, 1, 2, 1, 1, 10, 6, 2, 10, 2, 6, 6, 2, 1, 1, 2, 2, 10, 2, 10, 2, 1, 2, 2, 1, 2, 1, 2, 10, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 6, 10, 6, 1, 2, 10, 1, 6, 2, 2, 10, 10, 1, 6, 2, 1, 6, 6, 10, 6, 6, 10, 10, 6, 2, 1, 1, 1, 2, 1, 10, 6, 6, 10, 1, 0, 10, 10, 2, 6, 1, 9, 6, 1, 6, 0, 6, 6, 10, 6, 6, 2, 2, 4, 6, 4, 10, 6, 10, 1, 6, 6, 10, 2, 10, 6, 10, 2, 6, 2, 2, 10, 1, 6, 6, 6, 10, 6, 1, 2, 6, 10, 6, 1, 2, 2, 10, 2, 6, 1, 6, 10, 10, 10, 10, 6, 6, 2, 0, 6, 6, 2, 2, 2, 1, 10, 10, 10, 1, 6, 6, 1, 10, 2, 2, 2, 10, 2, 10, 2, 6, 1, 6, 10, 2, 10, 1, 10, 2, 10, 10, 6, 2, 6, 2, 6, 2, 2, 10, 2, 10, 1, 6, 2, 1, 6, 1, 1, 10, 6, 10, 10, 6, 1, 6, 6, 10, 2, 6, 10, 1, 2, 10, 6, 2, 1, 10, 1, 2, 1, 6, 6, 10, 1, 10, 6, 6, 10, 2, 6, 1, 10, 1, 1, 2, 6, 1, 2, 6, 6, 1, 1, 6, 6, 1, 1, 10, 6, 10, 1, 10, 6, 6, 1, 2, 2, 2, 1, 6, 2, 2, 2, 2, 6, 1, 6, 2, 6, 2, 1, 10, 10, 1, 5, 10, 10, 2, 2, 1, 10, 2, 2, 10, 10, 1, 2, 1, 2, 2, 10, 10, 6, 6, 1, 10, 2, 6, 2, 6, 1, 2, 1, 1, 1, 10, 2, 10, 1, 6, 6, 10, 6, 1, 6, 2, 10, 10, 10, 2, 10, 2, 1, 2, 10, 1, 10, 10, 6, 10, 2, 2, 1, 2, 6, 1, 2, 10, 2, 6, 10, 2, 10, 6, 6, 2, 10, 2, 10, 1, 6, 10, 1, 10, 6, 1, 6, 6, 10, 6, 10, 6, 10, 1, 1, 6, 2, 1, 6, 2, 2, 6, 2, 10, 2, 6, 2, 6, 6, 10, 6, 6, 1, 2, 2, 6, 6, 10, 1, 10, 10, 6, 10, 2, 10, 1, 9, 6, 1, 1, 5, 1, 1, 2, 1, 6, 6, 2, 1, 1, 2, 1, 6, 10, 6, 2, 2, 2, 6, 6, 6, 2, 10, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 6, 10, 1, 6, 1, 10, 10, 2, 2, 2, 6, 2, 2, 2, 2, 10, 6, 2, 10, 10, 1, 6, 6, 6, 6, 10, 1, 2, 6, 10, 10, 6, 1, 6, 10, 1, 10, 2, 1, 1, 2, 1, 2, 2, 10, 2, 4, 2, 10, 6, 2, 1, 1, 10, 10, 2, 1, 6, 1, 1, 1, 6, 6, 10, 4, 1, 6, 6, 6, 2, 1, 6, 2, 10, 2, 2, 1, 2, 2, 10, 6, 6, 1, 2, 1, 1, 1, 10, 10, 2, 10, 10, 1, 10, 1, 2, 10, 1, 2, 2, 2, 5, 10, 1, 2, 0, 10, 1, 1, 2, 2, 6, 2, 6, 1, 2, 2, 10, 2, 2, 2, 1, 2, 1, 1, 1, 1, 6, 1, 10, 1, 2, 4, 10, 1, 1, 10, 2, 10, 1, 2, 6, 1, 10, 6, 1, 6, 1, 1, 2, 1, 6, 10, 2, 10, 6, 6, 1, 2, 1, 10, 2, 6, 6, 10, 6, 6, 2, 10, 1, 6, 1, 2, 6, 2, 1, 1, 6, 2, 1, 10, 1, 6, 6, 6, 10, 1, 2, 6, 1, 1, 4, 6, 2, 6, 6, 10, 6, 2, 10, 6, 2, 2, 10, 2, 1, 1, 10, 10, 1, 6, 1, 10, 10, 2, 10, 1, 2, 10, 10, 6, 6, 2, 1, 1, 6, 6, 10, 1, 10, 6, 6, 10, 6, 10, 1, 1, 2, 6, 1, 6, 2, 0, 1, 6, 2, 1, 10, 6, 6, 1, 10, 6, 6, 6, 2, 2, 10, 10, 9, 1, 2, 2, 2, 1, 10, 10, 1, 10, 1, 1, 6, 2, 2, 1, 2, 2, 1, 2, 2, 5, 2, 1, 2, 6, 1, 6, 2, 10, 6, 10, 2, 6, 2, 1, 10, 10, 2, 6, 2, 6, 2, 1, 1, 1, 10, 2, 1, 2, 1, 1, 10, 6, 1, 6, 6, 2, 2, 2, 6, 1, 2, 0, 10, 6, 6, 10, 1, 2, 6, 2, 6, 2, 1, 10, 2, 5, 10, 6, 1, 6, 2, 10, 6, 10, 6, 6, 1, 1, 6, 2, 10, 1, 2, 1, 2, 6, 6, 0, 2, 10, 6, 1, 2, 10, 1, 10, 10, 2, 10, 6, 6, 1, 6, 10, 4, 2, 2, 1, 6, 2, 6, 6, 1, 6, 10, 1, 10, 9, 10, 1, 6, 10, 10, 10, 6, 6, 2, 1, 6, 2, 10, 2, 6, 10, 10, 1, 6, 6, 6, 6, 2, 10, 1, 10, 10, 10, 1, 6, 2, 1, 6, 6, 1, 10, 5, 6, 6, 1, 6, 1, 1, 2, 2, 10, 2, 6, 2, 6, 6, 1, 2, 10, 6, 10, 10, 6, 2, 6, 2, 2, 1, 2, 6, 2, 2, 1, 1, 1, 2, 2, 10, 10, 1, 6, 10, 2, 0, 6, 1, 1, 2, 10, 1, 10, 1, 10, 1, 10, 6, 6, 1, 2, 1, 1, 2, 10, 2, 10, 5, 1, 2, 2, 6, 10, 2, 1, 2, 6, 1, 10, 6, 6, 10, 1, 1, 6, 1, 6, 6, 1, 2, 2, 10, 1, 6, 6, 6, 10, 2, 6, 2, 2, 1, 10, 5, 2, 10, 10, 6, 2, 10, 1, 10, 10, 10, 2, 2, 6, 10, 4, 6, 10, 2, 10, 6, 2, 1, 1, 2, 5, 10, 1, 6, 2, 2, 10, 9, 4, 6, 2, 1, 6, 6, 6, 6, 2, 1, 10, 1, 10, 1, 10, 1, 2, 1, 10, 6, 10, 1, 2, 1, 6, 10, 10, 0, 6, 1, 0, 6, 1, 10, 2, 10, 2, 10, 2, 2, 6, 1, 10, 1, 1, 2, 2, 2, 2, 0, 6, 6, 2, 10, 1, 2, 2, 6, 1, 5, 1, 6, 2, 2, 10, 1, 6, 1, 2, 1, 4, 2, 10, 2, 1, 1, 1, 10, 2, 2, 10, 1, 1, 6, 10, 1, 10, 1, 6, 2, 10, 10, 1, 2, 1, 10, 6, 10, 10, 2, 10, 2, 1, 1, 5, 6, 10, 6, 2, 2, 6, 1, 6, 10, 2, 2, 6, 10, 2, 6, 6, 1, 2, 2, 2, 6, 1, 6, 10, 2, 1, 1, 6, 4, 1, 1, 10, 6, 1, 1, 6, 1, 6, 1, 1, 1, 10, 1, 2, 6, 10, 10, 6, 2, 2, 1, 2, 10, 2, 2, 2, 2, 10, 2, 1, 2, 2, 1, 10, 10, 1, 10, 10, 2, 6, 10, 1, 1, 2, 6, 10, 2, 10, 2, 10, 1, 6, 10, 1, 2, 6, 1, 1, 1, 6, 6, 6, 6, 6, 6, 10, 2, 2, 10, 6, 6, 10, 2, 10, 10, 10, 5, 6, 1, 2, 6, 1, 5, 1, 6, 10, 2, 2, 6, 1, 10, 10, 1, 10, 10, 6, 1, 6, 6, 1, 2, 2, 1, 10, 1, 1, 1, 2, 10, 10, 2, 1, 6, 10, 2, 6, 2, 6, 10, 2, 5, 10, 2, 10, 6, 1, 10, 1, 1, 10, 1, 2, 2, 2, 2, 6, 2, 6, 2, 6, 6, 1, 1, 6, 10, 10, 1, 6, 6, 6, 10, 10, 1, 6, 9, 6, 10, 1, 2, 6, 10, 1, 2, 6, 2, 2, 6, 2, 6, 10, 10, 50, 2, 5, 2, 1, 6, 1, 2, 2, 6, 1, 6, 10, 10, 1, 1, 2, 6, 6, 1, 2, 10, 10, 2, 10, 1, 2, 1, 10, 10, 1, 10, 4, 5, 9, 10, 1, 10, 2, 6, 10, 2, 10, 10, 1, 10, 10, 6, 10, 6, 2, 1, 2, 6, 6, 6, 6, 1, 10, 10, 10, 1, 1, 6, 2, 10, 2, 6, 1, 10, 10, 10, 1, 1, 10, 1, 2, 10, 1, 6, 10, 1, 1, 2, 1, 6, 2, 1, 10, 1, 10, 6, 10, 2, 2, 10, 1, 1, 1, 2, 10, 1, 10, 6, 6, 2, 7, 10, 2, 10, 10, 6, 6, 1, 1, 10, 10, 10, 1, 2, 6, 10, 1, 6, 10, 10, 6, 10, 1, 6, 10, 6, 2, 1, 1, 10, 2, 2, 2, 1, 1, 10, 2, 10, 10, 10, 6, 2, 2, 6, 1, 2, 1, 1, 2, 10, 2, 6, 1, 10, 6, 6, 6, 6, 10, 2, 1, 4, 10, 10, 1, 6, 1, 10, 10, 10, 2, 1, 10, 10, 2, 1, 2, 6, 2, 6, 10, 2, 5, 6, 10, 2, 6, 10, 1, 2, 6, 1, 2, 6, 1, 4, 1, 6, 10, 2, 6, 2, 2, 1, 1, 2, 10, 2, 10, 2, 1, 1, 1, 2, 2, 2, 6, 6, 1, 1, 2, 10, 2, 2, 2, 10, 10, 1, 10, 4, 1, 1, 10, 10, 3, 10, 2, 2, 6, 1, 1, 2, 10, 1, 6, 1, 1, 1, 2, 2, 2, 6, 6, 10, 10, 2, 6, 1, 2, 10, 1, 1, 1, 2, 1, 10, 10, 6, 1, 1, 10, 6, 1, 10, 6, 6, 1, 1, 9, 10, 1, 6, 6, 6, 1, 2, 2, 1, 2, 2, 6, 6, 2, 9, 2, 6, 2, 1, 1, 10, 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2, 2, 1, 2, 1, 2, 1, 2, 10, 1, 1, 6, 6, 1, 1, 2, 10, 6, 10, 2, 1, 10, 10, 1, 5, 6, 10, 1, 1, 10, 1, 10, 2, 2, 10, 1, 2, 10, 10, 10, 10, 1, 6, 6, 4, 0, 6, 2, 2, 1, 1, 1, 6, 6, 6, 6, 0, 1, 6, 1, 10, 10, 1, 1, 1, 6, 2, 1, 10, 10, 6, 1, 1, 2, 10, 1, 1, 1, 6, 10, 1, 6, 10, 10, 1, 1, 10, 10, 2, 10, 2, 6, 5, 6, 2, 10, 6, 1, 1, 1, 4, 6, 10, 6, 6, 1, 1, 1, 10, 10, 10, 4, 6, 6, 2, 10, 10, 6, 1, 10, 1, 10, 10, 6, 50, 10, 6, 2, 1, 1, 1, 2, 2, 6, 1, 10, 2, 2, 6, 2, 1, 2, 6, 2, 10, 6, 2, 10, 1, 1, 10, 1, 2, 2, 10, 2, 6, 1, 6, 2, 10, 6, 1, 2, 6, 10, 6, 1, 10, 6, 6, 2, 6, 2, 2, 1, 2, 10, 1, 2, 2, 6, 10, 10, 10, 6, 10, 1, 6, 10, 10, 10, 10, 10, 2, 4, 10, 10, 10, 6, 1, 10, 6, 1, 10, 1, 1, 10, 1, 10, 6, 10, 6, 10, 10, 1, 6, 10, 10, 6, 2, 1, 10, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 10, 1, 10, 1, 1, 4, 2, 1, 2, 1, 6, 2, 2, 1, 2, 10, 1, 2, 10, 2, 1, 6, 10, 10, 10, 1, 6, 1, 6, 1, 2, 1, 6, 10, 1, 1, 6, 1, 6, 6, 6, 1, 10, 10, 2, 1, 0, 10, 6, 6, 10, 2, 10, 6, 2, 2, 2, 2, 6, 6, 1, 1, 6, 10, 10, 1, 10, 1, 2, 10, 1, 10, 1, 6, 10, 10, 10, 2, 10, 10, 10, 1, 2, 2, 2, 2, 6, 9, 1, 10, 1, 2, 6, 10, 10, 2, 10, 1, 10, 10, 1, 10, 2, 2, 6, 10, 1, 1, 10, 2, 10, 6, 10, 2, 1, 2, 2, 6, 10, 6, 1, 10, 1, 10, 10, 10, 2, 2, 1, 10, 4, 1, 6, 2, 10, 6, 10, 6, 2, 10, 6, 1, 10, 6, 10, 1, 2, 5, 50, 2, 6, 1, 1, 1, 2, 6, 10, 2, 6, 6, 4, 2, 1, 1, 10, 2, 1, 2, 6, 10, 2, 6, 6, 10, 0, 6, 2, 10, 1, 2, 1, 1, 10, 1, 10, 6, 1, 2, 6, 10, 1, 6, 6, 1, 10, 6, 10, 1, 1, 2, 6, 6, 10, 1, 10, 2, 10, 1, 10, 6, 2, 1, 2, 2, 1, 6, 10, 10, 6, 6, 10, 10, 6, 6, 1, 10, 10, 10, 6, 1, 2, 1, 5, 10, 1, 1, 2, 1, 6, 0, 10, 2, 2, 1, 6, 6, 10, 1, 9, 2, 2, 1, 2, 9, 1, 2, 1, 1, 2, 6, 10, 2, 2, 1, 6, 6, 10, 9, 2, 6, 1, 1, 6, 6, 1, 6, 10, 10, 6, 1, 10, 10, 6, 4, 1, 2, 10, 2, 1, 6, 2, 2, 4, 10, 6, 6, 2, 2, 6, 9, 2, 1, 2, 10, 10, 5, 2, 2, 10, 1, 10, 1, 1, 1, 6, 6, 2, 2, 6, 6, 6, 2, 2, 6, 1, 4, 0, 6, 6, 2, 1, 1, 2, 6, 10, 6, 10, 4, 6, 6, 1, 10, 2, 6, 10, 6, 2, 1, 2, 2, 6, 6, 1, 10, 2, 2, 2, 2, 2, 6, 2, 2, 2, 0, 10, 1, 10, 6, 2, 6, 2, 6, 1, 1, 1, 6, 1, 1, 2, 10, 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6, 6, 1, 1, 6, 10, 10, 10, 2, 6, 1, 1, 10, 10, 2, 2, 2, 6, 6, 6, 1, 10, 1, 2, 2, 1, 10, 2, 10, 2, 1, 1, 2, 10, 1, 2, 10, 10, 6, 2, 10, 1, 6, 6, 10, 2, 10, 10, 2, 6, 2, 6, 1, 10, 1, 10, 6, 10, 6, 10, 1, 6, 10, 10, 1, 1, 2, 2, 1, 1, 6, 2, 10, 2, 6, 10, 2, 2, 6, 6, 2, 6, 10, 10, 1, 1, 10, 10, 6, 6, 2, 2, 6, 6, 1, 6, 1, 2, 6, 2, 10, 10, 10, 6, 10, 1, 10, 10, 6, 6, 10, 1, 0, 6, 10, 6, 1, 2, 2, 2, 2, 1, 10, 6, 2, 6, 2, 10, 10, 6, 6, 6, 2, 1, 2, 6, 2, 2, 6, 2, 6, 6, 10, 10, 2, 1, 2, 1, 10, 1, 10, 1, 1, 2, 10, 1, 6, 2, 1, 10, 10, 1, 2, 1, 10, 6, 4, 1, 6, 10, 1, 10, 6, 1, 1, 2, 2, 6, 1, 2, 2, 6, 1, 1, 10, 10, 1, 6, 10, 10, 10, 2, 6, 10, 6, 5, 2, 1, 10, 2, 6, 6, 6, 2, 2, 2, 2, 1, 6, 2, 10, 2, 2, 6, 6, 10, 6, 2, 2, 6, 2, 2, 1, 2, 6, 10, 6, 1, 10, 10, 6, 6, 2, 10, 2, 10, 10, 2, 2, 6, 6, 10, 1, 10, 6, 10, 10, 6, 1, 2, 0, 10, 2, 2, 2, 1, 2, 2, 6, 2, 10, 2, 6, 10, 6, 2, 1, 1, 10, 2, 2, 2, 6, 2, 10, 2, 10, 2, 6, 10, 6, 1, 2, 10, 10, 2, 6, 2, 6, 2, 2, 6, 6, 2, 1, 2, 2, 6, 1, 6, 10, 6, 2, 6, 2, 2, 10, 10, 0, 10, 1, 10, 10, 1, 10, 1, 6, 6, 10, 6, 6, 1, 6, 9, 10, 1, 10, 10, 1, 6, 1, 6, 6, 10, 1, 6, 10, 6, 6, 2, 1, 6, 2, 2, 2, 1, 10, 10, 2, 10, 2, 1, 10, 2, 1, 1, 2, 10, 1, 5, 2, 1, 6, 10, 2, 6, 6, 6, 10, 6, 1, 2, 1, 6, 10, 1, 6, 10, 2, 2, 2, 10, 6, 10, 10, 6, 2, 6, 6, 2, 2, 2, 6, 6, 2, 6, 2, 10, 1, 10, 6, 10, 2, 6, 1, 1, 10, 1, 6, 1, 6, 1, 10, 1, 10, 1, 1, 6, 1, 6, 2, 10, 6, 1, 2, 2, 10, 1, 10, 2, 1, 10, 10, 1, 2, 10, 10, 2, 2, 1, 6, 10, 6, 10, 6, 10, 10, 2, 4, 6, 10, 1, 1, 0, 5, 1, 10, 6, 1, 2, 2, 2, 6, 2, 1, 2, 10, 6, 2, 6, 1, 1, 6, 6, 1, 1, 6, 2, 2, 4, 10, 6, 2, 10, 2, 2, 6, 10, 1, 10, 6, 1, 1, 6, 4, 2, 10, 6, 10, 6, 1, 2, 6, 2, 2, 1, 6, 2, 10, 1, 2, 1, 2, 2, 10, 6, 1, 1, 1, 6, 1, 10, 2, 6, 10, 10, 1, 1, 1, 4, 6, 1, 10, 2, 1, 1, 1, 2, 2, 2, 10, 10, 1, 2, 6, 10, 10, 10, 6, 1, 2, 4, 6, 6, 2, 6, 10, 6, 2, 2, 1, 6, 10, 1, 1, 6, 2, 2, 10, 6, 1, 6, 10, 50, 2, 2, 6, 1, 1, 2, 10, 1, 6, 1, 1, 1, 2, 1, 10, 2, 1, 2, 6, 10, 2, 10, 6, 6, 6, 2, 10, 2, 2, 6, 1, 2, 10, 2, 1, 1, 1, 2, 4, 1, 1, 10, 1, 2, 6, 10, 2, 5, 6, 6, 2, 10, 1, 5, 2, 10, 2, 2, 6, 1, 10, 6, 6, 10, 1, 6, 6, 1, 1, 10, 2, 10, 1, 1, 1, 6, 6, 10, 1, 10, 6, 2, 6, 2, 2, 10, 2, 2, 1, 10, 1, 10, 1, 2, 10, 6, 10, 2, 6, 1, 6, 10, 1, 10, 2, 1, 1, 50, 10, 2, 10, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 6, 2, 6, 2, 10, 6, 6, 6, 6, 2, 2, 6, 10, 1, 6, 10, 10, 10, 10, 10, 1, 6, 1, 6, 2, 1, 6, 1, 2, 1, 10, 10, 1, 10, 10, 1, 2, 1, 6, 10, 1, 10, 1, 1, 10, 2, 1, 1, 2, 6, 10, 2, 6, 10, 1, 2, 10, 1, 2, 1, 1, 2, 10, 1, 6, 6, 1, 6, 2, 10, 1, 1, 6, 6, 2, 2, 6, 10, 6, 1, 6, 1, 1, 1, 10, 10, 2, 1, 1, 6, 10, 2, 6, 6, 2, 2, 1, 1, 2, 6, 2, 10, 1, 2, 6, 1, 6, 10, 10, 1, 2, 1, 6, 4, 10, 2, 2, 10, 6, 1, 2, 1, 1, 6, 2, 1, 10, 6, 6, 1, 2, 10, 0, 2, 1, 10, 2, 2, 2, 1, 10, 10, 6, 1, 6, 1, 6, 6, 30, 2, 2, 10, 10, 2, 6, 2, 1, 10, 10, 6, 2, 6, 2, 1, 9, 1, 10, 1, 2, 1, 2, 1, 10, 1, 9, 6, 6, 6, 10, 10, 2, 10, 1, 1, 1, 2, 6, 10, 2, 2, 10, 1, 10, 10, 1, 2, 6, 1, 1, 6, 1, 2, 6, 10, 10, 6, 1, 2, 6, 2, 6, 1, 6, 4, 2, 10, 10, 1, 2, 2, 6, 1, 1, 5, 10, 6, 1, 1, 10, 1, 1, 2, 2, 10, 10, 2, 1, 1, 6, 10, 1, 2, 2, 6, 10, 6, 2, 2, 10, 1, 1, 1, 2, 2, 10, 6, 10, 1, 1, 1, 1, 6, 2, 6, 2, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 10, 6, 6, 6, 6, 10, 10, 6, 1, 10, 2, 2, 10, 2, 1, 5, 10, 10, 2, 1, 6, 10, 2, 2, 10, 10, 6, 2, 6, 1, 10, 2, 6, 1, 1, 6, 10, 10, 1, 10, 6, 1, 6, 2, 1, 10, 10, 1, 10, 6, 2, 1, 1, 0, 6, 10, 10, 1, 0, 10, 1, 10, 1, 10, 6, 2, 0, 2, 6, 0, 6, 6, 10, 2, 6, 6, 1, 1, 5, 1, 1, 1, 10, 10, 10, 6, 6, 1, 10, 6, 2, 6, 2, 1, 6, 6, 2, 4, 6, 10, 10, 6, 6, 10, 6, 6, 6, 2, 10, 1, 1, 2, 10, 1, 10, 10, 6, 2, 2, 2, 1, 1, 10, 10, 1, 10, 6, 2, 1, 2, 10, 2, 6, 2, 10, 6, 2, 10, 2, 1, 10, 6, 10, 2, 9, 6, 1, 1, 10, 10, 10, 2, 10, 10, 6, 6, 6, 10, 1, 2, 2, 10, 1, 2, 2, 6, 1, 2, 2, 1, 10, 1, 1, 6, 2, 10, 2, 6, 1, 6, 2, 2, 1, 10, 2, 2, 10, 6, 1, 1, 10, 10, 10, 10, 2, 2, 2, 10, 2, 1, 6, 1, 1, 1, 2, 1, 10, 10, 2, 10, 2, 10, 2, 10, 2, 0, 10, 1, 10, 10, 10, 6, 1, 1, 10, 10, 1, 1, 2, 2, 2, 6, 6, 10, 1, 10, 10, 9, 10, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 10, 6, 2, 9, 10, 2, 1, 1, 2, 2, 1, 10, 6, 1, 1, 2, 6, 6, 2, 10, 2, 10, 1, 6, 2, 1, 2, 6, 10, 2, 2, 1, 10, 6, 10, 10, 2, 6, 6, 2, 2, 6, 2, 2, 1, 1, 6, 7, 9, 10, 1, 6, 1, 10, 2, 2, 2, 6, 2, 2, 6, 10, 2, 1, 1, 10, 10, 10, 10, 2, 2, 2, 10, 10, 2, 1, 2, 6, 2, 2, 1, 6, 1, 1, 1, 1, 6, 10, 1, 1, 6, 1, 10, 10, 6, 10, 2, 10, 1, 6, 6, 1, 1, 6, 10, 6, 6, 1, 6, 10, 1, 10, 6, 10, 6, 6, 10, 10, 10, 2, 1, 2, 2, 2, 1, 10, 6, 10, 6, 6, 10, 2, 1, 6, 2, 2, 10, 10, 6, 2, 10, 10, 2, 1, 6, 10, 6, 10, 2, 6, 2, 4, 1, 10, 2, 10, 6, 6, 10, 6, 1, 1, 10, 2, 10, 2, 6, 1, 2, 10, 6, 10, 10, 6, 2, 2, 2, 6, 10, 1, 2, 6, 10, 1, 6, 10, 2, 2, 6, 2, 6, 1, 4, 6, 2, 10, 1, 1, 10, 2, 6, 10, 10, 6, 2, 1, 1, 10, 2, 6, 2, 2, 2, 1, 6, 1, 6, 1, 2, 6, 6, 10, 10, 10, 10, 1, 6, 6, 10, 6, 1, 1, 6, 1, 1, 2, 2, 2, 2, 6, 6, 10, 1, 10, 2, 1, 10, 10, 10, 2, 1, 2, 6, 10, 1, 6, 1, 2, 6, 10, 0, 2, 10, 1, 10, 2, 1, 1, 2, 2, 10, 2, 10, 6, 10, 6, 1, 10, 1, 6, 6, 6, 6, 1, 6, 6, 6, 2, 1, 4, 6, 6, 10, 6, 6, 2, 2, 1, 2, 2, 1, 10, 2, 10, 6, 6, 6, 1, 2, 0, 10, 6, 2, 10, 1, 10, 2, 6, 1, 2, 1, 1, 6, 10, 2, 10, 2, 2, 10, 10, 6, 6, 10, 2, 2, 1, 6, 6, 1, 6, 10, 10, 10, 10, 6, 6, 10, 6, 9, 10, 10, 1, 6, 2, 6, 2, 2, 2, 1, 6, 10, 1, 10, 10, 2, 1, 10, 1, 10, 6, 1, 6, 6, 6, 2, 6, 1, 6, 2, 6, 9, 1, 1, 9, 10, 5, 0, 10, 6, 10, 1, 2, 2, 10, 2, 2, 1, 6, 2, 10, 6, 6, 6, 10, 1, 10, 10, 10, 2, 1, 6, 2, 1, 1, 2, 10, 10, 6, 6, 1, 6, 2, 6, 2, 1, 1, 6, 1, 6, 9, 6, 6, 10, 1, 6, 6, 10, 2, 2, 2, 6, 6, 2, 6, 6, 2, 4, 1, 4, 10, 1, 1, 6, 10, 1, 10, 10, 6, 2, 2, 10, 0, 2, 10, 9, 1, 2, 1, 10, 2, 1, 6, 6, 1, 2, 2, 2, 6, 1, 10, 10, 6, 1, 10, 6, 1, 1, 10, 1, 6, 1, 1, 1, 10, 10, 6, 2, 1, 10, 6, 10, 2, 6, 10, 1, 10, 1, 2, 2, 6, 1, 1, 10, 6, 10, 1, 2, 6, 6, 1, 1, 6, 1, 6, 9, 2, 1, 2, 2, 10, 1, 1, 10, 6, 10, 1, 0, 1, 10, 1, 6, 10, 10, 1, 0, 1, 10, 6, 1, 10, 2, 1, 1, 2, 1, 2, 1, 1, 10, 2, 10, 6, 10, 10, 2, 1, 6, 10, 6, 6, 6, 10, 1, 10, 10, 2, 1, 6, 2, 6, 2, 2, 4, 10, 2, 10, 2, 2, 6, 1, 1, 2, 1, 10, 1, 1, 10, 2, 1, 6, 6, 2, 6, 6, 2, 1, 6, 10, 2, 6, 6, 2, 6, 2, 1, 6, 10, 2, 10, 4, 1, 10, 2, 10, 0, 1, 10, 1, 2, 1, 1, 10, 10, 1, 2, 2, 1, 6, 2, 6, 1, 10, 0, 2, 6, 1, 1, 2, 6, 2, 6, 6, 10, 2, 2, 6, 6, 10, 10, 9, 6, 1, 6, 1, 2, 1, 5, 2, 6, 10, 10, 1, 6, 6, 10, 10, 2, 10, 1, 1, 6, 1, 6, 10, 1, 2, 2, 6, 10, 10, 2, 2, 2, 1, 1, 6, 1, 6, 1, 1, 1, 2, 10, 1, 1, 2, 10, 2, 2, 2, 6, 6, 2, 1, 10, 6, 2, 6, 10, 10, 6, 1, 1, 10, 6, 10, 1, 1, 10, 2, 6, 10, 2, 6, 2, 6, 2, 0, 1, 10, 10, 10, 6, 1, 2, 6, 10, 6, 6, 2, 10, 10, 6, 10, 1, 1, 2, 6, 6, 6, 2, 1, 2, 6, 2, 10, 1, 10, 1, 10, 2, 10, 2, 2, 1, 10, 2, 2, 6, 10, 2, 2, 1, 10, 1, 6, 10, 1, 6, 2, 1, 2, 6, 10, 10, 2, 10, 6, 10, 10, 2, 6, 10, 6, 10, 10, 10, 1, 5, 2, 10, 10, 10, 1, 10, 1, 6, 1, 2, 10, 2, 2, 2, 2, 2, 2, 2, 6, 1, 6, 10, 10, 1, 1, 2, 2, 6, 2, 2, 2, 2, 10, 10, 2, 2, 10, 2, 1, 2, 6, 6, 10, 1, 2, 2, 2, 1, 1, 2, 2, 6, 6, 6, 2, 6, 2, 6, 2, 2, 1, 6, 10, 10, 2, 2, 6, 10, 10, 10, 1, 10, 6, 6, 10, 2, 2, 10, 1, 10, 6, 10, 2, 1, 6, 10, 6, 2, 2, 10, 2, 1, 6, 1, 1, 2, 10, 10, 6, 6, 1, 6, 2, 2, 6, 1, 1, 2, 2, 2, 6, 10, 6, 10, 1, 1, 10, 6, 10, 6, 6, 1, 1, 1, 6, 6, 2, 6, 10, 1, 2, 6, 1, 10, 1, 6, 1, 2, 2, 1, 6, 2, 6, 10, 2, 2, 6, 2, 10, 10, 2, 2, 2, 10, 6, 2, 1, 6, 6, 6, 10, 10, 1, 1, 6, 6, 10, 2, 2, 10, 2, 6, 2, 6, 1, 6, 1, 7, 10, 10, 6, 2, 1, 2, 10, 10, 1, 1, 1, 6, 6, 1, 10, 10, 2, 6, 1, 1, 1, 1, 1, 2, 2, 6, 1, 10, 2, 6, 2, 5, 10, 10, 2, 6, 1, 6, 2, 4, 2, 1, 10, 2, 10, 2, 2, 1, 10, 2, 10, 1, 10, 10, 10, 2, 1, 10, 2, 2, 6, 2, 10, 2, 2, 2, 10, 10, 6, 1, 2, 6, 1, 6, 2, 6, 6, 10, 2, 1, 10, 2, 2, 1, 2, 10, 10, 1, 1, 6, 10, 10, 1, 10, 9, 1, 1, 10, 1, 0, 1, 2, 10, 6, 10, 2, 1, 6, 1, 2, 10, 10, 2, 1, 10, 2, 1, 10, 10, 1, 10, 2, 2, 1, 1, 1, 6, 1, 6, 10, 2, 6, 10, 2, 2, 10, 2, 6, 6, 6, 6, 10, 1, 1, 1, 6, 6, 1, 6, 2, 10, 2, 5, 2, 6, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 10, 1, 5, 10, 2, 2, 1, 6, 2, 10, 1, 2, 10, 10, 6, 2, 2, 2, 10, 2, 1, 10, 2, 2, 2, 1, 6, 10, 2, 1, 2, 6, 2, 2, 6, 2, 6, 1, 1, 10, 2, 1, 6, 10, 10, 10, 1, 2, 1, 1, 10, 5, 10, 1, 1, 10, 6, 1, 10, 6, 1, 10, 2, 6, 10, 2, 6, 2, 10, 1, 2, 2, 6, 9, 1, 2, 10, 2, 1, 6, 1, 2, 5, 9, 10, 1, 6, 2, 10, 2, 6, 2, 10, 2, 6, 1, 1, 2, 6, 10, 1, 1, 10, 10, 1, 8, 6, 6, 6, 10, 1, 0, 1, 1, 9, 2, 2, 10, 2, 6, 6, 6, 10, 2, 10, 6, 10, 2, 1, 1, 10, 2, 2, 6, 10, 6, 10, 1, 2, 6, 10, 10, 1, 1, 10, 2, 2, 0, 2, 2, 2, 1, 10, 10, 1, 10, 6, 2, 10, 10, 10, 10, 10, 1, 2, 2, 6, 2, 1, 2, 5, 6, 10, 1, 10, 6, 6, 2, 2, 6, 1, 2, 2, 6, 1, 6, 6, 6, 6, 1, 6, 10, 6, 6, 10, 6, 6, 2, 10, 1, 2, 6, 6, 2, 6, 9, 2, 10, 10, 10, 1, 6, 2, 1, 10, 10, 10, 6, 10, 6, 6, 10, 1, 10, 2, 0, 10, 6, 1, 1, 10, 10, 10, 2, 6, 1, 10, 6, 10, 1, 6, 2, 2, 1, 2, 10, 10, 6, 2, 10, 2, 1, 6, 2, 2, 6, 6, 1, 2, 10, 2, 1, 2, 2, 10, 1, 1, 10, 10, 1, 2, 10, 1, 1, 1, 6, 6, 1, 2, 6, 1, 0, 6, 1, 1, 6, 10, 1, 1, 1, 2, 6, 2, 1, 2, 1, 10, 1, 2, 10, 2, 2, 2, 6, 6, 2, 2, 1, 6, 2, 2, 1, 2, 6, 2, 10, 10, 4, 2, 10, 10, 0, 2, 10, 10, 6, 0, 9, 6, 2, 10, 1, 10, 6, 6, 6, 6, 10, 1, 6, 2, 6, 2, 10, 6, 10, 6, 2, 6, 4, 6, 6, 2, 1, 2, 2, 1, 9, 6, 2, 10, 6, 1, 2, 1, 10, 10, 6, 10, 1, 6, 6, 6, 6, 10, 10, 1, 1, 10, 1, 1, 2, 2, 6, 6, 1, 2, 10, 10, 1, 6, 2, 1, 6, 2, 2, 1, 10, 6, 2, 9, 10, 2, 6, 2, 10, 10, 6, 2, 1, 1, 6, 10, 10, 6, 9, 2, 6, 10, 1, 6, 1, 6, 10, 1, 1, 5, 2, 6, 6, 2, 10, 2, 2, 1, 0, 1, 2, 2, 10, 1, 10, 10, 2, 2, 4, 2, 10, 1, 10, 10, 6, 2, 10, 10, 6, 10, 1, 2, 6, 6, 1, 10, 10, 9, 2, 10, 1, 10, 6, 6, 1, 1, 10, 0, 10, 6, 2, 6, 2, 6, 10, 4, 6, 1, 2, 2, 1, 10, 1, 1, 1, 1, 0, 1, 10, 2, 1, 4, 6, 10, 2, 1, 2, 1, 1, 2, 1, 2, 2, 10, 2, 10, 4, 10, 2, 10, 10, 10, 1, 6, 10, 2, 1, 6, 6, 10, 10, 6, 1, 6, 4, 1, 2, 2, 2, 1, 10, 2, 2, 2, 10, 1, 1, 6, 2, 2, 1, 10, 1, 1, 10, 2, 10, 1, 2, 1, 10, 6, 1, 6, 6, 10, 1, 1, 2, 1, 1, 1, 2, 10, 2, 10, 10, 6, 6, 10, 4, 6, 2, 2, 6, 10, 6, 6, 1, 2, 10, 2, 1, 2, 6, 2, 10, 2, 2, 10, 2, 6, 1, 2, 2, 6, 6, 2, 2, 1, 1, 2, 2, 2, 10, 10, 2, 1, 1, 5, 6, 6, 1, 1, 6, 2, 2, 4, 6, 10, 10, 2, 2, 2, 6, 6, 10, 9, 2, 10, 10, 6, 1, 1, 2, 1, 6, 2, 2, 10, 2, 1, 2, 2, 6, 2, 10, 10, 1, 6, 10, 2, 2, 6, 6, 2, 4, 10, 1, 1, 1, 10, 1, 0, 2, 2, 6, 10, 10, 10, 6, 6, 10, 10, 1, 1, 10, 10, 10, 2, 6, 9, 1, 10, 2, 6, 5, 10, 10, 6, 10, 6, 1, 6, 1, 6, 6, 6, 10, 2, 6, 6, 6, 1, 2, 10, 6, 6, 10, 2, 2, 1, 6, 10, 1, 6, 2, 6, 6, 10, 10, 10, 2, 1, 6, 10, 1, 2, 6, 2, 1, 2, 10, 10, 1, 1, 2, 10, 5, 1, 10, 1, 1, 1, 10, 6, 6, 2, 1, 10, 6, 6, 6, 1, 10, 1, 6, 2, 1, 9, 10, 6, 1, 10, 10, 2, 6, 6, 2, 2, 4, 10, 10, 1, 1, 10, 2, 6, 1, 2, 9, 2, 6, 1, 0, 10, 2, 6, 6, 1, 2, 2, 2, 10, 6, 10, 10, 1, 9, 10, 6, 2, 2, 1, 1, 2, 6, 2, 6, 10, 1, 1, 10, 10, 10, 10, 6, 1, 10, 1, 6, 2, 6, 1, 10, 1, 6, 10, 2, 10, 2, 10, 6, 6, 2, 2, 10, 2, 1, 2, 2, 1, 1, 6, 6, 6, 2, 1, 1, 2, 6, 6, 2, 6, 10, 10, 2, 10, 10, 6, 6, 6, 1, 1, 2, 1, 1, 10, 10, 6, 2, 10, 2, 2, 6, 6, 6, 2, 10, 2, 1, 1, 1, 6, 6, 6, 1, 1, 2, 2, 2, 10, 2, 10, 6, 1, 1, 10, 6, 6, 6, 6, 10, 10, 6, 0, 6, 6, 10, 6, 1, 1, 1, 6, 10, 1, 1, 6, 1, 2, 1, 1, 9, 1, 5, 2, 2, 10, 10, 2, 5, 2, 10, 1, 6, 6, 10, 6, 6, 2, 2, 9, 1, 10, 10, 6, 6, 2, 10, 6, 2, 2, 6, 10, 6, 10, 2, 1, 10, 2, 2, 10, 6, 1, 10, 10, 2, 2, 10, 2, 6, 1, 1, 1, 2, 2, 6, 1, 9, 2, 1, 1, 2, 1, 2, 2, 10, 1, 6, 10, 6, 6, 10, 6, 10, 2, 10, 6, 2, 1, 10, 2, 2, 1, 2, 6, 10, 1, 1, 10, 1, 10, 10, 1, 2, 2, 6, 2, 10, 6, 10, 10, 6, 6, 10, 2, 10, 1, 6, 6, 10, 1, 2, 10, 2, 10, 10, 2, 1, 2, 2, 2, 2, 2, 10, 2, 6, 60, 6, 4, 2, 10, 6, 10, 1, 2, 2, 2, 10, 10, 10, 1, 1, 10, 6, 2, 10, 6, 1, 1, 6, 2, 2, 2, 2, 10, 10, 2, 6, 2, 1, 10, 6, 1, 1, 5, 10, 6, 6, 1, 6, 10, 6, 6, 2, 2, 10, 6, 1, 2, 2, 6, 2, 6, 6, 1, 10, 6, 2, 10, 10, 1, 10, 9, 6, 6, 10, 2, 2, 2, 1, 2, 1, 10, 2, 0, 1, 1, 6, 1, 10, 10, 6, 6, 1, 10, 2, 2, 6, 2, 6, 2, 10, 1, 10, 10, 6, 6, 1, 2, 1, 0, 10, 6, 2, 10, 2, 6, 1, 1, 1, 2, 6, 9, 2, 1, 6, 6, 1, 1, 10, 10, 10, 6, 6, 6, 1, 1, 2, 2, 1, 10, 6, 10, 0, 6, 6, 6, 6, 10, 2, 10, 2, 2, 9, 10, 1, 10, 6, 6, 2, 0, 10, 10, 10, 10, 2, 1, 1, 2, 5, 6, 2, 1, 1, 6, 10, 1, 1, 10, 1, 10, 1, 10, 1, 6, 1, 0, 10, 10, 1, 6, 2, 2, 6, 2, 2, 0, 1, 10, 10, 6, 6, 6, 2, 1, 6, 10, 10, 6, 6, 10, 6, 10, 1, 2, 10, 6, 2, 2, 1, 1, 6, 6, 2, 2, 1, 1, 10, 2, 10, 6, 6, 2, 1, 2, 6, 6, 1, 2, 6, 6, 2, 10, 1, 6, 1, 10, 6, 1, 10, 2, 2, 2, 6, 10, 10, 6, 1, 10, 6, 6, 6, 2, 1, 2, 10, 10, 2, 2, 6, 1, 6, 6, 2, 6, 6, 1, 2, 2, 2, 6, 2, 4, 1, 2, 2, 2, 2, 1, 10, 10, 10, 6, 1, 2, 1, 6, 10, 10, 1, 6, 2, 10, 10, 1, 1, 10, 6, 1, 6, 10, 1, 2, 2, 10, 2, 1, 1, 2, 10, 10, 2, 2, 9, 6, 1, 1, 2, 6, 1, 10, 2, 1, 10, 6, 10, 2, 2, 10, 6, 10, 2, 2, 2, 2, 6, 6, 2, 1, 1, 1, 6, 1, 1, 1, 10, 1, 10, 6, 6, 9, 6, 6, 2, 2, 2, 1, 10, 6, 2, 6, 2, 2, 2, 10, 6, 1, 2, 2, 2, 6, 10, 10, 6, 6, 1, 1, 2, 1, 1, 1, 1, 6, 6, 6, 10, 6, 1, 1, 10, 2, 1, 10, 6, 6, 6, 2, 2, 2, 1, 10, 2, 1, 2, 6, 1, 10, 10, 2, 1, 4, 6, 2, 2, 1, 1, 6, 1, 10, 2, 6, 1, 6, 10, 1, 6, 1, 6, 2, 1, 10, 0, 1, 2, 1, 0, 10, 6, 2, 2, 4, 6, 6, 1, 10, 6, 6, 1, 1, 1, 10, 10, 10, 1, 1, 1, 2, 6, 6, 6, 10, 10, 6, 10, 10, 6, 10, 2, 6, 6, 1, 6, 10, 6, 2, 2, 6, 1, 2, 10, 1, 1, 1, 2, 1, 2, 10, 6, 10, 2, 1, 10, 2, 1, 2, 10, 10, 10, 6, 6, 6, 1, 6, 2, 4, 2, 6, 10, 2, 2, 10, 1, 10, 10, 10, 10, 10, 6, 1, 1, 10, 6, 2, 2, 2, 1, 9, 10, 6, 10, 6, 10, 6, 2, 2, 1, 6, 1, 6, 10, 6, 2, 2, 2, 1, 2, 6, 10, 1, 1, 6, 1, 10, 2, 0, 1, 2, 6, 10, 10, 1, 9, 2, 1, 1, 10, 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2, 1, 10, 6, 10, 4, 1, 2, 10, 1, 10, 1, 10, 6, 10, 2, 6, 2, 1, 2, 10, 4, 1, 1, 2, 2, 9, 2, 2, 6, 2, 1, 6, 1, 1, 6, 60, 2, 2, 5, 10, 2, 10, 9, 6, 6, 6, 10, 10, 6, 6, 10, 6, 2, 2, 1, 6, 10, 2, 1, 10, 2, 6, 2, 6, 2, 2, 5, 9, 6, 10, 10, 5, 1, 2, 10, 6, 2, 5, 4, 6, 2, 1, 1, 2, 6, 10, 10, 10, 10, 10, 1, 1, 10, 6, 1, 10, 2, 2, 10, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 2, 6, 6, 2, 10, 1, 1, 2, 1, 10, 5, 1, 1, 10, 2, 2, 6, 6, 1, 6, 10, 2, 1, 10, 9, 1, 1, 6, 10, 2, 6, 5, 10, 2, 6, 2, 6, 6, 6, 1, 6, 6, 1, 1, 1, 2, 4, 1, 10, 6, 2, 6, 10, 1, 2, 1, 1, 2, 6, 10, 2, 1, 1, 4, 10, 1, 6, 6, 1, 6, 1, 1, 10, 6, 6, 1, 9, 10, 1, 10, 10, 6, 2, 2, 10, 2, 6, 10, 10, 2, 6, 10, 2, 6, 10, 2, 1, 10, 10, 6, 5, 6, 2, 1, 1, 9, 10, 2, 6, 2, 1, 2, 2, 10, 2, 0, 10, 6, 6, 2, 10, 2, 9, 9, 10, 10, 2, 1, 2, 2, 1, 1, 1, 6, 10, 2, 2, 6, 10, 2, 0, 2, 2, 1, 6, 10, 10, 1, 1, 10, 10, 2, 6, 10, 6, 10, 10, 1, 2, 2, 6, 6, 1, 1, 10, 2, 6, 6, 2, 1, 5, 10, 1, 1, 2, 2, 2, 6, 1, 1, 1, 2, 6, 6, 2, 6, 7, 2, 1, 1, 2, 2, 6, 10, 2, 6, 10, 2, 1, 2, 10, 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10, 1, 6, 2, 6, 2, 2, 6, 1, 2, 10, 10, 6, 10, 1, 10, 1, 6, 6, 6, 2, 2, 2, 6, 1, 6, 10, 2, 1, 10, 6, 10, 10, 6, 6, 1, 10, 1, 2, 1, 10, 1, 6, 2, 6, 1, 6, 6, 1, 6, 6, 10, 1, 2, 6, 6, 6, 2, 6, 2, 2, 10, 40, 2, 1, 2, 10, 6, 10, 10, 10, 1, 2, 2, 10, 2, 6, 1, 1, 2, 10, 2, 6, 6, 10, 1, 2, 6, 2, 2, 1, 1, 1, 10, 1, 1, 6, 6, 1, 1, 6, 6, 6, 10, 1, 10, 2, 6, 2, 6, 1, 1, 2, 1, 1, 10, 2, 2, 6, 6, 2, 2, 9, 6, 1, 2, 1, 3, 10, 6, 1, 1, 10, 2, 10, 2, 10, 6, 2, 6, 10, 2, 6, 2, 6, 6, 1, 1, 10, 1, 10, 1, 1, 2, 10, 6, 10, 6, 10, 6, 2, 6, 1, 10, 10, 1, 1, 9, 10, 2, 6, 2, 10, 10, 10, 10, 1, 6, 4, 1, 1, 1, 10, 1, 1, 1, 10, 6, 2, 2, 2, 2, 6, 10, 6, 0, 6, 6, 1, 10, 10, 0, 6, 6, 2, 10, 1, 2, 6, 10, 6, 2, 10, 2, 1, 6, 10, 10, 10, 2, 1, 1, 2, 8, 10, 1, 10, 6, 5, 1, 6, 1, 10, 1, 10, 10, 1, 1, 1, 1, 2, 10, 10, 1, 2, 1, 1, 1, 10, 6, 10, 10, 2, 1, 1, 10, 10, 6, 6, 1, 6, 1, 1, 6, 2, 1, 1, 2, 10, 1, 6, 6, 10, 6, 1, 6, 10, 1, 6, 2, 1, 10, 1, 6, 2, 1, 2, 1, 10, 1, 2, 6, 2, 1, 6, 6, 10, 1, 2, 10, 2, 10, 10, 6, 2, 2, 2, 2, 6, 1, 10, 2, 10, 6, 2, 2, 10, 10, 4, 1, 1, 0, 10, 1, 10, 6, 6, 6, 2, 2, 1, 6, 1, 6, 10, 1, 2, 5, 5, 1, 6, 10, 1, 6, 2, 10, 2, 10, 2, 1, 10, 2, 6, 6, 2, 6, 10, 2, 1, 2, 1, 10, 2, 1, 1, 2, 2, 1, 6, 1, 6, 10, 2, 2, 10, 9, 10, 10, 2, 2, 2, 6, 1, 10, 2, 10, 10, 2, 2, 1, 10, 6, 6, 1, 6, 4, 2, 2, 2, 2, 2, 10, 2, 2, 6, 10, 2, 1, 10, 1, 2, 2, 4, 1, 10, 2, 10, 10, 6, 6, 1, 10, 1, 1, 6, 1, 10, 1, 2, 1, 2, 10, 6, 6, 2, 10, 10, 5, 2, 1, 6, 2, 10, 6, 2, 6, 2, 2, 10, 10, 1, 2, 10, 1, 1, 2, 6, 10, 2, 1, 6, 6, 2, 6, 10, 2, 1, 10, 6, 10, 6, 0, 1, 6, 1, 10, 10, 10, 2, 2, 6, 10, 6, 2, 1, 6, 1, 6, 10, 6, 6, 2, 2, 10, 6, 1, 10, 1, 6, 10, 1, 2, 0, 1, 2, 2, 1, 10, 2, 5, 10, 6, 2, 10, 10, 6, 1, 6, 2, 1, 1, 1, 6, 6, 2, 0, 6, 10, 2, 6, 6, 2, 10, 10, 1, 2, 10, 10, 2, 2, 1, 10, 2, 10, 6, 10, 6, 6, 1, 1, 6, 1, 10, 10, 2, 6, 2, 10, 1, 1, 10, 10, 2, 6, 10, 6, 10, 1, 10, 1, 1, 10, 2, 10, 10, 1, 10, 10, 10, 10, 6, 1, 10, 6, 10, 6, 2, 2, 2, 5, 1, 2, 1, 6, 2, 6, 2, 1, 2, 6, 6, 6, 6, 10, 1, 1, 10, 2, 10, 6, 10, 1, 6, 2, 10, 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10, 1, 6, 1, 10, 1, 6, 5, 6, 2, 1, 10, 10, 1, 10, 10, 6, 10, 2, 2, 10, 6, 10, 6, 2, 1, 6, 6, 1, 2, 2, 10, 6, 1, 2, 1, 2, 2, 1, 2, 2, 10, 0, 2, 10, 1, 2, 6, 10, 1, 10, 2, 2, 1, 10, 1, 2, 6, 6, 5, 2, 6, 1, 2, 6, 6, 2, 9, 1, 2, 2, 10, 1, 1, 2, 10, 6, 4, 2, 10, 6, 10, 6, 1, 6, 6, 6, 1, 6, 10, 2, 10, 2, 10, 1, 1, 6, 2, 2, 2, 1, 10, 4, 6, 6, 2, 10, 10, 10, 2, 6, 1, 6, 1, 10, 2, 6, 2, 2, 10, 10, 6, 6, 10, 2, 1, 1, 2, 6, 10, 6, 1, 6, 0, 2, 2, 2, 2, 1, 6, 10, 2, 6, 10, 6, 1, 5, 6, 2, 10, 10, 0, 6, 10, 1, 2, 10, 2, 1, 2, 1, 10, 10, 6, 2, 2, 10, 2, 2, 10, 10, 1, 6, 1, 10, 10, 4, 6, 1, 1, 2, 10, 2, 1, 2, 1, 1, 2, 6, 6, 1, 10, 6, 60, 6, 10, 2, 2, 2, 1, 10, 1, 10, 10, 1, 1, 6, 2, 10, 9, 10, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 10, 2, 6, 2, 10, 10, 10, 1, 10, 2, 2, 6, 10, 6, 10, 1, 1, 1, 2, 9, 6, 1, 10, 10, 1, 10, 1, 2, 2, 10, 1, 2, 1, 2, 10, 2, 1, 2, 1, 1, 10, 10, 6, 1, 10, 2, 2, 9, 2, 6, 2, 2, 10, 6, 1, 2, 1, 1, 10, 6, 2, 6, 10, 2, 10, 1, 1, 2, 6, 6, 2, 2, 10, 10, 1, 10, 6, 10, 10, 2, 6, 10, 1, 2, 2, 6, 1, 1, 1, 6, 1, 6, 10, 6, 6, 1, 6, 10, 10, 1, 2, 6, 1, 1, 10, 2, 6, 2, 6, 1, 2, 1, 1, 1, 6, 10, 1, 6, 2, 10, 6, 10, 10, 1, 1, 1, 1, 2, 10, 10, 6, 2, 10, 10, 6, 2, 10, 6, 6, 6, 10, 2, 2, 6, 10, 4, 2, 1, 2, 6, 2, 2, 6, 2, 2, 2, 10, 2, 10, 2, 2, 10, 10, 6, 6, 1, 10, 6, 10, 1, 10, 1, 10, 6, 2, 1, 2, 2, 6, 10, 1, 6, 1, 10, 2, 6, 10, 1, 2, 0, 10, 10, 6, 1, 2, 10, 2, 1, 10, 2, 1, 1, 6, 2, 1, 6, 2, 2, 1, 1, 6, 6, 6, 2, 10, 2, 6, 6, 10, 6, 10, 0, 10, 2, 6, 2, 6, 1, 6, 6, 10, 10, 10, 2, 1, 2, 10, 10, 4, 10, 1, 6, 1, 10, 10, 2, 1, 2, 6, 10, 6, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 10, 2, 2, 2, 1, 6, 6, 2, 2, 10, 10, 10, 10, 10, 10, 10, 2, 1, 2, 2, 10, 2, 2, 2, 10, 6, 2, 10, 1, 1, 10, 6, 1, 1, 1, 6, 1, 2, 10, 2, 2, 2, 10, 6, 6, 1, 2, 1, 6, 2, 2, 10, 6, 6, 1, 10, 6, 1, 0, 1, 10, 1, 6, 10, 2, 10, 6, 10, 1, 1, 1, 2, 5, 2, 6, 10, 2, 10, 2, 2, 10, 1, 1, 6, 10, 10, 2, 4, 6, 4, 2, 6, 2, 6, 6, 4, 6, 6, 10, 5, 2, 10, 6, 1, 2, 6, 2, 10, 2, 1, 1, 10, 6, 6, 10, 2, 6, 9, 1, 2, 1, 2, 10, 1, 2, 6, 6, 1, 10, 1, 6, 2, 10, 10, 6, 1, 2, 10, 4, 1, 10, 10, 1, 2, 1, 1, 1, 2, 1, 6, 6, 6, 1, 1, 10, 1, 10, 10, 1, 1, 6, 6, 6, 6, 6, 2, 2, 1, 1, 6, 6, 2, 10, 2, 6, 2, 10, 2, 6, 1, 6, 10, 4, 10, 10, 2, 10, 6, 6, 6, 2, 10, 2, 6, 6, 2, 1, 10, 6, 10, 6, 6, 6, 1, 1, 1, 6, 10, 1, 10, 1, 10, 10, 2, 6, 2, 1, 6, 10, 1, 10, 1, 6, 2, 10, 1, 2, 10, 10, 1, 1, 10, 10, 10, 2, 10, 6, 1, 2, 1, 10, 10, 1, 10, 6, 6, 9, 10, 1, 10, 2, 1, 10, 1, 10, 10, 2, 10, 2, 10, 5, 1, 10, 1, 6, 2, 2, 1, 6, 1, 10, 6, 10, 2, 6, 1, 2, 2, 10, 2, 10, 6, 2, 9, 2, 1, 10, 2, 6, 2, 10, 2, 10, 2, 10, 2, 2, 1, 10, 2, 2, 1, 2, 10, 2, 10, 6, 6, 1, 2, 10, 10, 10, 6, 1, 1, 1, 4, 2, 2, 6, 1, 4, 6, 2, 10, 10, 1, 6, 10, 2, 10, 1, 10, 1, 2, 10, 2, 2, 6, 1, 2, 10, 2, 6, 2, 2, 10, 6, 1, 0, 5, 10, 2, 10, 6, 6, 1, 10, 10, 2, 2, 10, 6, 1, 6, 2, 6, 1, 6, 6, 10, 10, 2, 0, 1, 2, 6, 10, 6, 4, 2, 4, 10, 1, 2, 10, 2, 10, 1, 1, 6, 2, 2, 2, 6, 2, 1, 6, 1, 10, 2, 2, 9, 2, 10, 2, 1, 1, 10, 6, 1, 2, 10, 1, 6, 10, 1, 10, 10, 10, 1, 1, 1, 5, 6, 2, 2, 6, 10, 10, 10, 1, 10, 1, 1, 10, 1, 2, 10, 2, 0, 2, 2, 6, 2, 10, 6, 6, 1, 1, 1, 10, 6, 6, 6, 2, 2, 6, 2, 1, 6, 10, 2, 10, 6, 2, 10, 2, 2, 10, 6, 2, 6, 1, 6, 6, 10, 6, 6, 2, 6, 9, 2, 6, 10, 1, 6, 1, 1, 6, 10, 2, 6, 1, 6, 10, 6, 10, 10, 1, 5, 6, 2, 6, 2, 1, 2, 6, 1, 6, 2, 2, 2, 1, 4, 6, 6, 2, 1, 2, 10, 1, 1, 1, 6, 6, 2, 10, 6, 1, 10, 1, 10, 10, 10, 6, 2, 2, 2, 10, 6, 1, 10, 6, 10, 1, 1, 10, 10, 6, 6, 2, 10, 6, 6, 1, 2, 6, 1, 2, 0, 1, 1, 10, 2, 1, 6, 1, 1, 1, 2, 1, 1, 2, 2, 6, 6, 1, 1, 2, 2, 2, 10, 10, 6, 2, 10, 2, 10, 2, 6, 10, 10, 2, 6, 2, 10, 1, 1, 6, 2, 10, 4, 10, 1, 1, 10, 10, 6, 2, 2, 2, 5, 6, 1, 1, 6, 1, 1, 9, 2, 1, 2, 6, 2, 1, 1, 10, 6, 1, 10, 6, 2, 2, 10, 6, 10, 6, 2, 1, 10, 6, 0, 1, 10, 6, 6, 6, 5, 6, 10, 0, 10, 6, 2, 2, 1, 2, 2, 6, 10, 1, 10, 10, 2, 2, 10, 1, 10, 6, 9, 6, 6, 1, 1, 2, 9, 1, 1, 6, 6, 10, 6, 1, 2, 2, 6, 1, 2, 1, 1, 1, 2, 10, 6, 6, 6, 2, 1, 1, 6, 6, 1, 10, 2, 6, 2, 6, 1, 1, 1, 10, 6, 10, 10, 2, 10, 6, 6, 1, 1, 2, 1, 10, 1, 2, 6, 0, 1, 6, 10, 6, 6, 6, 2, 2, 1, 2, 6, 10, 6, 6, 1, 6, 6, 2, 1, 1, 10, 10, 10, 10, 2, 1, 10, 2, 1, 2, 1, 6, 2, 6, 10, 10, 1, 1, 1, 6, 6, 10, 6, 6, 10, 6, 1, 10, 10, 1, 10, 2, 2, 2, 2, 1, 6, 10, 10, 2, 6, 1, 1, 6, 10, 1, 2, 10, 10, 10, 6, 2, 2, 10, 2, 2, 2, 2, 1, 6, 1, 10, 6, 1, 10, 2, 10, 2, 2, 10, 4, 10, 2, 2, 10, 2, 1, 10, 4, 2, 6, 10, 1, 6, 2, 2, 1, 1, 1, 6, 10, 1, 10, 2, 2, 2, 2, 6, 10, 2, 2, 2, 1, 1, 1, 1, 2, 1, 6, 1, 1, 6, 10, 6, 2, 6, 10, 6, 10, 1, 1, 1, 10, 1, 1, 10, 1, 1, 6, 10, 10, 6, 2, 10, 6, 2, 1, 2, 2, 6, 2, 1, 6, 9, 9, 1, 1, 2, 1, 6, 2, 2, 1, 1, 10, 10, 1, 6, 10, 6, 2, 2, 6, 1, 1, 6, 0, 10, 6, 6, 10, 10, 10, 2, 6, 1, 1, 6, 1, 10, 2, 6, 1, 2, 6, 2, 2, 2, 1, 1, 6, 1, 6, 2, 10, 6, 1, 6, 1, 2, 1, 2, 10, 1, 1, 10, 5, 2, 2, 2, 2, 10, 2, 6, 6, 10, 6, 2, 2, 10, 2, 1, 10, 1, 1, 2, 10, 10, 10, 1, 6, 2, 2, 1, 10, 6, 6, 2, 9, 10, 6, 6, 10, 2, 2, 1, 10, 2, 1, 1, 1, 10, 2, 10, 1, 6, 1, 6, 2, 6, 6, 10, 2, 1, 2, 10, 2, 1, 1, 2, 6, 10, 10, 1, 10, 1, 2, 5, 1, 0, 2, 1, 1, 10, 10, 2, 1, 6, 1, 10, 1, 1, 1, 10, 1, 10, 2, 10, 10, 1, 2, 10, 1, 6, 6, 1, 10, 2, 1, 2, 6, 10, 2, 1, 6, 1, 10, 2, 2, 2, 10, 2, 1, 1, 2, 2, 10, 6, 2, 6, 6, 2, 1, 10, 10, 2, 10, 10, 1, 6, 9, 1, 6, 10, 6, 2, 6, 10, 10, 1, 1, 10, 1, 10, 2, 6, 10, 10, 10, 1, 6, 6, 6, 1, 1, 2, 1, 6, 2, 2, 10, 6, 10, 1, 6, 10, 2, 1, 0, 2, 2, 2, 10, 1, 2, 10, 2, 1, 6, 1, 6, 10, 1, 2, 2, 1, 6, 6, 1, 2, 1, 2, 2, 1, 1, 6, 6, 4, 10, 6, 10, 6, 6, 6, 2, 1, 10, 1, 1, 2, 9, 1, 10, 1, 10, 1, 10, 2, 2, 1, 10, 6, 2, 10, 2, 1, 2, 10, 2, 6, 10, 6, 2, 10, 6, 10, 1, 10, 10, 2, 6, 10, 2, 2, 6, 2, 6, 6, 2, 1, 6, 6, 2, 1, 10, 6, 2, 1, 1, 10, 2, 2, 6, 2, 10, 2, 6, 1, 2, 1, 2, 2, 6, 6, 2, 2, 2, 10, 10, 2, 10, 2, 2, 6, 1, 2, 10, 10, 4, 6, 1, 10, 6, 6, 1, 10, 1, 6, 10, 2, 10, 2, 1, 2, 2, 10, 6, 1, 10, 2, 1, 6, 6, 6, 2, 6, 10, 10, 6, 6, 1, 1, 2, 10, 1, 10, 2, 2, 6, 1, 6, 10, 1, 2, 2, 6, 4, 6, 6, 10, 1, 1, 2, 10, 6, 6, 10, 1, 6, 10, 2, 10, 1, 2, 10, 10, 10, 2, 2, 10, 10, 0, 6, 1, 6, 1, 10, 6, 6, 10, 1, 1, 6, 10, 6, 2, 2, 6, 10, 10, 6, 2, 1, 10, 10, 6, 1, 10, 10, 10, 2, 2, 10, 2, 6, 6, 6, 2, 6, 1, 1, 6, 1, 10, 10, 1, 6, 10, 1, 5, 1, 1, 2, 10, 6, 10, 10, 1, 1, 10, 10, 10, 1, 6, 1, 10, 10, 6, 6, 10, 6, 10, 1, 1, 10, 10, 6, 1, 5, 6, 1, 6, 6, 10, 6, 6, 10, 10, 2, 1, 6, 1, 6, 10, 6, 2, 10, 10, 6, 1, 6, 2, 1, 10, 2, 10, 2, 2, 10, 10, 2, 1, 6, 2, 6, 2, 6, 2, 1, 10, 2, 1, 6, 1, 2, 2, 6, 1, 10, 10, 1, 6, 10, 6, 10, 10, 1, 10, 2, 2, 10, 2, 1, 2, 2, 7, 1, 2, 1, 6, 1, 2, 10, 2, 1, 1, 2, 6, 6, 1, 6, 1, 6, 10, 1, 6, 2, 2, 2, 10, 10, 1, 10, 1, 9, 10, 10, 10, 1, 10, 10, 6, 10, 6, 10, 1, 2, 10, 10, 2, 10, 2, 10, 6, 10, 2, 1, 1, 6, 6, 1, 10, 10, 10, 6, 10, 1, 1, 1, 6, 10, 2, 6, 10, 1, 6, 2, 10, 2, 10, 1, 6, 2, 1, 6, 6, 2, 10, 6, 2, 2, 1, 6, 1, 2, 4, 10, 10, 10, 10, 10, 10, 6, 1, 6, 6, 10, 6, 1, 10, 6, 10, 1, 2, 2, 1, 10, 2, 10, 2, 10, 1, 1, 6, 10, 2, 6, 1, 10, 1, 2, 3, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 6, 10, 10, 2, 1, 6, 2, 2, 2, 6, 6, 6, 2, 10, 2, 2, 6, 10, 1, 6, 6, 10, 10, 10, 6, 6, 6, 6, 10, 10, 2, 2, 2, 10, 10, 10, 10, 2, 2, 2, 6, 1, 2, 1, 10, 1, 10, 10, 2, 2, 10, 10, 6, 1, 1, 6, 2, 6, 2, 2, 2, 1, 6, 6, 6, 1, 1, 10, 6, 1, 6, 6, 10, 6, 10, 10, 2, 6, 1, 10, 6, 2, 10, 1, 10, 10, 0, 10, 10, 10, 6, 10, 6, 10, 10, 10, 1, 6, 1, 6, 10, 1, 10, 6, 2, 2, 1, 1, 2, 6, 10, 2, 6, 9, 2, 2, 10, 6, 10, 10, 1, 2, 10, 1, 9, 10, 10, 6, 2, 1, 2, 2, 6, 1, 1, 1, 10, 0, 6, 10, 6, 6, 6, 2, 6, 6, 1, 2, 1, 6, 6, 1, 10, 2, 10, 6, 10, 10, 10, 10, 6, 10, 1, 1, 2, 1, 1, 1, 1, 10, 10, 10, 2, 10, 9, 1, 4, 10, 2, 1, 1, 2, 2, 10, 1, 6, 6, 6, 6, 6, 10, 1, 10, 6, 1, 6, 10, 2, 1, 6, 2, 6, 2, 6, 1, 6, 2, 1, 2, 10, 2, 1, 2, 10, 10, 2, 1, 1, 1, 5, 6, 4, 2, 10, 6, 6, 2, 6, 2, 10, 1, 1, 1, 2, 6, 2, 10, 10, 1, 6, 1, 10, 6, 1, 10, 10, 2, 10, 1, 1, 6, 1, 1, 1, 6, 1, 10, 1, 6, 2, 1, 10, 6, 2, 1, 2, 10, 6, 10, 2, 6, 2, 6, 6, 2, 5, 6, 10, 10, 6, 10, 1, 10, 10, 6, 2, 2, 10, 6, 2, 2, 1, 2, 6, 2, 2, 6, 5, 1, 6, 6, 10, 10, 2, 2, 1, 10, 2, 2, 10, 1, 6, 6, 1, 1, 2, 2, 2, 7, 6, 10, 2, 6, 4, 6, 1, 1, 2, 2, 2, 10, 6, 2, 1, 2, 10, 2, 2, 1, 2, 1, 10, 10, 1, 10, 6, 2, 2, 2, 10, 1, 10, 2, 2, 10, 1, 10, 6, 2, 1, 6, 10, 6, 10, 1, 2, 10, 1, 1, 10, 10, 10, 6, 2, 10, 10, 2, 2, 1, 6, 2, 1, 2, 1, 1, 10, 2, 1, 6, 10, 6, 2, 1, 10, 10, 1, 6, 10, 2, 1, 2, 9, 6, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 6, 10, 6, 6, 10, 10, 10, 1, 6, 1, 2, 40, 5, 10, 2, 2, 9, 2, 2, 6, 1, 10, 6, 10, 2, 10, 1, 2, 10, 2, 6, 1, 2, 1, 6, 2, 2, 10, 2, 2, 1, 6, 6, 6, 10, 10, 6, 1, 2, 3, 2, 10, 10, 1, 2, 1, 10, 6, 10, 10, 10, 2, 6, 2, 6, 2, 1, 9, 1, 10, 7, 6, 6, 6, 2, 10, 6, 1, 1, 6, 10, 6, 2, 10, 10, 10, 4, 2, 10, 6, 10, 10, 6, 6, 1, 4, 6, 10, 10, 10, 10, 2, 6, 2, 10, 6, 1, 0, 2, 3, 2, 1, 10, 10, 10, 2, 6, 6, 1, 10, 10, 1, 6, 6, 6, 1, 10, 1, 10, 6, 2, 2, 6, 1, 5, 1, 10, 2, 10, 2, 6, 1, 10, 2, 10, 10, 2, 6, 6, 1, 2, 1, 10, 2, 2, 2, 6, 2, 10, 2, 2, 1, 2, 2, 10, 1, 1, 6, 1, 10, 2, 2, 1, 2, 1, 1, 2, 6, 1, 6, 2, 10, 5, 2, 10, 2, 2, 2, 6, 1, 10, 2, 1, 10, 1, 6, 2, 1, 2, 1, 1, 6, 10, 1, 6, 6, 1, 6, 2, 6, 2, 6, 1, 0, 2, 6, 2, 1, 1, 1, 2, 6, 10, 10, 1, 6, 6, 6, 6, 0, 6, 2, 10, 10, 9, 10, 2, 10, 10, 6, 10, 1, 6, 2, 2, 10, 2, 6, 10, 10, 1, 1, 2, 10, 10, 2, 2, 1, 10, 2, 2, 10, 6, 6, 6, 10, 6, 6, 6, 6, 6, 2, 10, 2, 6, 6, 10, 2, 1, 9, 2, 6, 2, 10, 1, 1, 1, 1, 2, 2, 0, 1, 6, 6, 10, 2, 10, 9, 2, 10, 1, 2, 10, 10, 1, 10, 6, 1, 10, 1, 2, 10, 10, 6, 2, 2, 1, 6, 10, 10, 10, 6, 2, 6, 2, 1, 2, 10, 1, 6, 1, 6, 6, 0, 9, 2, 6, 1, 2, 6, 10, 6, 1, 10, 2, 10, 10, 6, 10, 10, 10, 6, 1, 6, 10, 10, 10, 1, 2, 2, 1, 2, 6, 6, 6, 2, 2, 6, 10, 6, 6, 1, 1, 10, 6, 2, 6, 2, 2, 2, 1, 1, 10, 2, 6, 4, 1, 10, 2, 10, 1, 6, 10, 6, 2, 40, 6, 1, 2, 10, 1, 1, 10, 4, 2, 6, 1, 9, 2, 6, 2, 2, 6, 6, 6, 1, 10, 10, 2, 1, 10, 6, 2, 10, 6, 10, 2, 1, 6, 1, 10, 2, 2, 6, 1, 2, 6, 2, 1, 2, 10, 1, 10, 1, 10, 10, 6, 6, 1, 10, 1, 6, 10, 6, 6, 10, 10, 2, 6, 10, 2, 6, 10, 10, 1, 6, 10, 6, 6, 1, 2, 2, 2, 1, 2, 10, 4, 10, 2, 10, 6, 6, 1, 1, 2, 2, 2, 1, 10, 2, 2, 10, 6, 5, 10, 10, 6, 1, 6, 2, 10, 2, 2, 2, 6, 10, 1, 10, 6, 5, 1, 10, 10, 6, 6, 1, 6, 6, 10, 2, 10, 10, 6, 2, 10, 10, 10, 10, 6, 6, 6, 6, 10, 6, 1, 6, 10, 10, 6, 6, 2, 2, 1, 1, 6, 6, 2, 10, 2, 2, 10, 1, 10, 10, 1, 6, 10, 2, 1, 6, 1, 6, 2, 2, 2, 10, 2, 6, 10, 10, 1, 10, 1, 10, 10, 1, 4, 1, 10, 6, 1, 6, 2, 10, 2, 2, 6, 10, 2, 2, 2, 2, 6, 2, 10, 1, 6, 1, 1, 10, 10, 6, 10, 6, 10, 2, 1, 2, 6, 2, 10, 2, 1, 1, 10, 2, 5, 2, 10, 10, 2, 1, 2, 10, 1, 6, 2, 10, 6, 6, 2, 2, 1, 2, 10, 2, 0, 1, 1, 1, 2, 10, 6, 10, 2, 2, 6, 10, 10, 2, 6, 6, 6, 10, 1, 6, 6, 1, 6, 6, 1, 10, 2, 1, 2, 2, 6, 2, 2, 6, 6, 2, 6, 1, 1, 1, 1, 10, 10, 2, 2, 2, 6, 10, 10, 2, 10, 2, 2, 6, 6, 6, 6, 2, 1, 6, 1, 6, 2, 6, 2, 1, 10, 10, 6, 1, 10, 10, 2, 1, 10, 2, 2, 6, 1, 2, 2, 10, 2, 10, 6, 6, 2, 10, 10, 1, 1, 10, 2, 2, 1, 1, 1, 10, 10, 10, 10, 6, 2, 2, 5, 2, 1, 1, 2, 10, 1, 2, 2, 1, 2, 1, 1, 6, 6, 6, 2, 1, 6, 2, 10, 2, 10, 10, 10, 2, 10, 2, 10, 6, 10, 10, 6, 2, 6, 1, 6, 1, 2, 10, 2, 1, 6, 2, 10, 2, 10, 6, 6, 1, 1, 2, 10, 2, 6, 2, 2, 1, 6, 6, 9, 1, 6, 1, 2, 2, 1, 10, 10, 2, 1, 2, 2, 6, 1, 6, 10, 10, 1, 2, 6, 1, 1, 1, 10, 1, 1, 10, 9, 2, 10, 2, 2, 10, 1, 10, 6, 10, 1, 1, 10, 6, 10, 10, 2, 1, 6, 6, 2, 10, 6, 6, 1, 10, 1, 1, 6, 1, 6, 10, 1, 6, 6, 10, 6, 10, 2, 4, 9, 6, 2, 10, 2, 1, 6, 10, 9, 2, 10, 2, 1, 6, 1, 6, 10, 6, 2, 1, 10, 6, 1, 6, 2, 10, 10, 1, 2, 10, 2, 10, 1, 1, 10, 10, 6, 2, 6, 1, 6, 10, 1, 2, 6, 1, 6, 1, 2, 10, 10, 2, 1, 1, 10, 10, 10, 1, 2, 2, 10, 1, 2, 1, 6, 2, 6, 6, 10, 1, 6, 10, 0, 10, 2, 1, 10, 2, 2, 2, 6, 1, 10, 10, 2, 10, 6, 2, 2, 1, 5, 6, 6, 6, 10, 1, 2, 6, 1, 10, 2, 2, 2, 1, 2, 6, 6, 1, 10, 6, 2, 2, 1, 2, 2, 10, 6, 10, 1, 2, 1, 10, 10, 10, 1, 2, 6, 2, 2, 1, 2, 2, 2, 10, 1, 6, 6, 6, 1, 1, 10, 10, 2, 6, 10, 10, 2, 4, 2, 2, 6, 6, 2, 10, 10, 1, 6, 2, 6, 10, 10, 6, 2, 2, 1, 1, 10, 6, 2, 6, 1, 2, 6, 10, 6, 6, 1, 6, 10, 1, 10, 6, 6, 6, 0, 1, 6, 2, 1, 1, 10, 10, 1, 2, 1, 6, 1, 10, 9, 6, 6, 6, 1, 2, 1, 1, 1, 10, 6, 10, 10, 2, 6, 2, 10, 10, 10, 1, 6, 10, 2, 1, 10, 10, 6, 1, 1, 6, 1, 10, 10, 10, 9, 2, 6, 6, 1, 2, 2, 6, 10, 10, 9, 10, 6, 1, 2, 10, 2, 6, 6, 1, 2, 4, 6, 10, 10, 1, 2, 2, 9, 10, 1, 1, 10, 2, 2, 6, 10, 1, 2, 10, 10, 1, 6, 1, 1, 6, 10, 1, 1, 10, 10, 6, 10, 1, 10, 10, 10, 10, 1, 5, 10, 1, 10, 1, 6, 2, 2, 6, 10, 6, 10, 1, 6, 1, 2, 6, 9, 2, 6, 2, 10, 6, 10, 6, 6, 10, 1, 1, 2, 6, 2, 6, 6, 6, 2, 10, 6, 1, 2, 10, 6, 1, 6, 6, 10, 9, 10, 1, 10, 6, 10, 6, 1, 10, 10, 6, 0, 2, 10, 10, 1, 2, 2, 6, 6, 6, 10, 10, 2, 1, 2, 6, 6, 1, 9, 6, 1, 6, 1, 10, 2, 6, 1, 10, 2, 1, 1, 2, 10, 10, 6, 10, 9, 1, 1, 2, 6, 2, 1, 1, 1, 10, 6, 6, 2, 5, 6, 1, 6, 2, 10, 1, 1, 10, 1, 1, 1, 1, 1, 1, 6, 1, 9, 2, 10, 2, 2, 6, 1, 10, 10, 10, 2, 10, 10, 10, 1, 0, 6, 2, 1, 6, 6, 10, 1, 1, 10, 10, 6, 1, 6, 6, 2, 1, 1, 1, 2, 10, 1, 1, 2, 1, 1, 1, 10, 1, 2, 0, 6, 1, 6, 10, 10, 2, 10, 6, 1, 1, 6, 1, 6, 10, 6, 1, 6, 6, 10, 1, 10, 2, 6, 1, 2, 10, 10, 6, 6, 10, 1, 1, 6, 1, 1, 2, 10, 10, 10, 2, 2, 10, 2, 10, 10, 1, 1, 2, 6, 2, 10, 6, 2, 2, 1, 1, 0, 1, 10, 2, 1, 6, 2, 6, 9, 6, 9, 10, 1, 10, 10, 5, 10, 10, 2, 10, 2, 6, 6, 2, 0, 2, 2, 2, 10, 10, 10, 6, 10, 1, 10, 6, 1, 2, 6, 10, 10, 10, 1, 10, 6, 2, 1, 10, 1, 10, 2, 2, 1, 10, 2, 10, 10, 1, 2, 1, 1, 6, 10, 2, 2, 0, 1, 2, 10, 1, 10, 1, 1, 6, 1, 10, 6, 10, 10, 1, 1, 6, 10, 10, 10, 10, 10, 10, 6, 10, 1, 10, 6, 10, 1, 2, 2, 1, 10, 1, 2, 1, 10, 10, 1, 6, 6, 2, 1, 1, 10, 10, 1, 2, 2, 1, 2, 1, 2, 10, 1, 2, 10, 10, 6, 1, 1, 10, 6, 1, 10, 10, 6, 10, 1, 6, 10, 10, 6, 2, 1, 2, 6, 6, 6, 6, 1, 1, 6, 5, 1, 1, 1, 6, 10, 2, 1, 6, 1, 6, 10, 2, 6, 2, 2, 1, 2, 10, 1, 2, 10, 4, 6, 2, 1, 10, 6, 6, 6, 2, 10, 6, 6, 2, 1, 6, 6, 10, 6, 6, 6, 6, 6, 2, 1, 2, 6, 10, 2, 6, 2, 2, 2, 1, 6, 1, 6, 1, 6, 10, 2, 2, 5, 1, 1, 10, 6, 2, 10, 2, 10, 1, 6, 6, 5, 6, 6, 6, 10, 10, 2, 1, 1, 1, 2, 2, 2, 10, 1, 1, 10, 6, 10, 6, 4, 10, 6, 1, 10, 1, 10, 1, 6, 10, 10, 1, 10, 1, 10, 6, 1, 10, 2, 1, 10, 2, 2, 6, 6, 2, 2, 10, 1, 6, 10, 2, 10, 1, 10, 6, 6, 6, 60, 10, 6, 1, 9, 1, 10, 2, 10, 10, 1, 10, 1, 10, 6, 10, 2, 6, 2, 10, 6, 2, 1, 1, 1, 1, 6, 5, 10, 2, 6, 1, 6, 1, 6, 6, 2, 10, 2, 10, 6, 2, 10, 1, 10, 10, 6, 2, 2, 1, 1, 1, 10, 1, 2, 10, 6, 1, 1, 6, 1, 2, 2, 1, 2, 6, 10, 1, 1, 10, 1, 10, 2, 2, 1, 1, 6, 1, 1, 10, 2, 10, 10, 2, 2, 1, 2, 2, 6, 6, 1, 1, 8, 1, 1, 6, 10, 2, 6, 10, 6, 6, 1, 6, 2, 2, 6, 10, 1, 2, 6, 10, 1, 6, 10, 2, 1, 1, 6, 6, 6, 10, 6, 2, 6, 1, 2, 1, 1, 9, 2, 6, 2, 1, 10, 1, 6, 1, 6, 1, 10, 6, 10, 2, 6, 1, 6, 6, 1, 6, 2, 10, 10, 2, 1, 6, 2, 6, 2, 10, 6, 6, 2, 10, 1, 2, 10, 1, 6, 10, 1, 10, 1, 10, 1, 10, 10, 2, 1, 2, 6, 10, 6, 6, 2, 10, 1, 1, 10, 6, 2, 6, 10, 2, 6, 1, 6, 6, 2, 2, 6, 2, 6, 6, 2, 10, 2, 6, 6, 6, 6, 10, 2, 6, 2, 2, 6, 2, 10, 6, 0, 2, 5, 2, 6, 2, 1, 10, 2, 6, 6, 6, 2, 0, 6, 2, 6, 1, 1, 1, 10, 10, 6, 1, 1, 10, 2, 1, 1, 2, 2, 1, 6, 1, 1, 1, 1, 2, 2, 2, 6, 1, 6, 6, 10, 1, 1, 2, 1, 6, 10, 10, 10, 1, 10, 1, 1, 2, 10, 6, 2, 6, 10, 10, 10, 2, 6, 10, 1, 10, 6, 2, 6, 10, 1, 1, 6, 6, 1, 10, 10, 6, 2, 10, 0, 2, 10, 6, 1, 2, 1, 2, 6, 5, 10, 6, 1, 6, 6, 2, 1, 1, 2, 1, 10, 1, 1, 10, 2, 2, 2, 6, 2, 9, 2, 6, 10, 10, 10, 10, 2, 6, 10, 10, 1, 1, 10, 1, 1, 10, 10, 6, 10, 6, 6, 2, 2, 10, 2, 0, 2, 10, 6, 6, 2, 1, 1, 2, 2, 10, 6, 6, 1, 1, 1, 2, 10, 10, 2, 10, 6, 2, 2, 6, 2, 6, 2, 10, 6, 2, 2, 2, 2, 1, 6, 2, 10, 10, 0, 10, 2, 5, 2, 1, 6, 1, 1, 10, 2, 1, 1, 9, 10, 1, 1, 2, 2, 6, 1, 10, 1, 6, 1, 10, 2, 6, 1, 6, 10, 2, 1, 1, 10, 1, 1, 2, 6, 1, 4, 2, 1, 10, 6, 1, 2, 10, 10, 6, 6, 10, 2, 2, 4, 6, 10, 1, 10, 2, 10, 10, 2, 1, 2, 1, 4, 9, 10, 2, 10, 10, 1, 6, 6, 6, 6, 6, 6, 10, 6, 1, 6, 2, 10, 1, 6, 10, 6, 10, 6, 2, 10, 6, 6, 5, 1, 6, 9, 2, 2, 6, 2, 6, 6, 1, 2, 1, 1, 1, 10, 2, 1, 1, 10, 6, 10, 1, 1, 1, 10, 1, 6, 10, 10, 6, 6, 2, 10, 10, 1, 1, 2, 10, 10, 6, 2, 1, 6, 10, 2, 10, 10, 10, 1, 1, 2, 1, 1, 4, 1, 6, 50, 2, 2, 10, 1, 2, 10, 2, 6, 5, 1, 1, 6, 10, 1, 2, 2, 6, 10, 1, 1, 1, 2, 1, 1, 6, 10, 1, 10, 2, 6, 1, 1, 10, 10, 2, 6, 2, 1, 5, 1, 10, 10, 2, 1, 2, 1, 0, 9, 6, 6, 6, 10, 2, 1, 6, 2, 10, 2, 6, 6, 6, 1, 6, 2, 2, 10, 6, 2, 10, 1, 10, 6, 2, 10, 1, 10, 1, 2, 2, 6, 1, 1, 6, 6, 2, 2, 1, 6, 1, 9, 10, 2, 2, 1, 10, 2, 2, 10, 10, 10, 10, 10, 10, 1, 1, 2, 10, 2, 2, 2, 10, 10, 2, 10, 6, 2, 6, 1, 1, 0, 6, 1, 1, 6, 6, 2, 10, 1, 1, 1, 2, 1, 1, 2, 1, 9, 9, 10, 2, 6, 6, 2, 2, 2, 10, 6, 6, 10, 1, 1, 6, 2, 2, 2, 10, 6, 2, 2, 10, 10, 1, 10, 10, 6, 2, 4, 2, 10, 2, 2, 0, 1, 10, 1, 2, 6, 1, 10, 2, 2, 6, 10, 6, 6, 6, 6, 10, 6, 6, 10, 2, 10, 6, 1, 6, 6, 6, 6, 2, 2, 4, 1, 10, 10, 2, 10, 1, 1, 6, 1, 2, 10, 1, 1, 6, 6, 10, 6, 6, 2, 6, 1, 6, 10, 6, 6, 60, 1, 6, 10, 5, 6, 6, 1, 2, 1, 2, 6, 6, 6, 10, 1, 9, 2, 6, 10, 6, 10, 6, 10, 2, 6, 2, 1, 6, 1, 2, 2, 10, 6, 1, 2, 1, 10, 6, 6, 10, 2, 10, 6, 2, 10, 2, 6, 6, 2, 6, 1, 2, 10, 2, 1, 2, 6, 2, 10, 2, 10, 2, 2, 6, 2, 7, 10, 2, 1, 2, 2, 10, 10, 10, 1, 6, 0, 10, 10, 6, 1, 2, 6, 1, 10, 1, 5, 5, 1, 1, 6, 2, 1, 0, 6, 1, 10, 10, 1, 6, 10, 2, 1, 1, 10, 2, 2, 2, 6, 6, 10, 10, 6, 9, 1, 6, 1, 2, 1, 1, 6, 6, 1, 6, 6, 6, 10, 6, 10, 1, 1, 1, 10, 2, 6, 6, 1, 2, 2, 10, 6, 1, 2, 1, 1, 10, 10, 6, 6, 1, 1, 6, 1, 1, 1, 6, 1, 10, 10, 10, 1, 10, 6, 10, 2, 1, 2, 2, 10, 10, 6, 2, 6, 2, 6, 10, 1, 2, 2, 6, 6, 10, 1, 1, 6, 6, 2, 1, 10, 10, 1, 1, 6, 1, 1, 4, 2, 2, 4, 2, 1, 1, 6, 6, 6, 1, 10, 3, 2, 1, 1, 10, 6, 10, 1, 6, 1, 10, 1, 1, 6, 2, 2, 2, 6, 10, 10, 2, 6, 10, 2, 1, 2, 2, 1, 2, 2, 2, 10, 1, 2, 1, 1, 6, 1, 6, 10, 6, 2, 1, 6, 1, 1, 10, 6, 6, 6, 6, 2, 2, 6, 10, 1, 2, 10, 1, 4, 6, 1, 2, 6, 6, 2, 2, 4, 6, 6, 6, 2, 10, 10, 6, 1, 1, 10, 1, 10, 1, 1, 6, 1, 10, 10, 1, 10, 6, 6, 1, 2, 2, 10, 6, 2, 2, 6, 6, 1, 1, 1, 10, 1, 6, 6, 2, 10, 2, 1, 1, 6, 10, 2, 1, 1, 10, 1, 2, 2, 1, 6, 2, 2, 1, 1, 2, 6, 1, 1, 10, 1, 10, 10, 6, 6, 1, 6, 10, 2, 1, 10, 10, 2, 2, 0, 10, 10, 2, 2, 10, 9, 2, 1, 10, 2, 1, 10, 1, 0, 6, 1, 10, 1, 2, 2, 2, 10, 1, 1, 6, 6, 5, 1, 10, 1, 6, 10, 1, 1, 2, 2, 2, 6, 10, 10, 2, 10, 9, 1, 6, 1, 6, 2, 1, 10, 10, 1, 10, 6, 5, 10, 1, 1, 1, 10, 6, 6, 10, 10, 6, 10, 10, 1, 6, 1, 6, 1, 10, 1, 6, 6, 1, 1, 2, 10, 5, 2, 2, 10, 6, 10, 2, 1, 1, 1, 6, 6, 6, 10, 6, 6, 6, 6, 6, 6, 6, 6, 10, 1, 10, 2, 6, 10, 6, 1, 10, 2, 10, 6, 6, 2, 6, 1, 10, 6, 2, 2, 6, 1, 1, 1, 2, 40, 2, 1, 10, 2, 6, 1, 6, 10, 6, 10, 6, 1, 6, 1, 10, 1, 2, 2, 6, 6, 2, 1, 1, 6, 10, 6, 10, 10, 1, 1, 10, 10, 2, 1, 6, 1, 1, 2, 6, 6, 2, 10, 1, 10, 6, 2, 10, 10, 2, 6, 1, 2, 6, 2, 0, 10, 2, 6, 6, 6, 2, 10, 1, 1, 1, 6, 10, 10, 6, 1, 6, 6, 4, 1, 10, 6, 10, 10, 10, 2, 10, 2, 6, 1, 10, 1, 2, 6, 6, 10, 1, 1, 10, 2, 6, 1, 6, 6, 10, 1, 2, 1, 2, 2, 1, 6, 2, 6, 6, 10, 1, 10, 2, 2, 6, 1, 2, 6, 1, 2, 6, 5, 2, 2, 6, 10, 6, 2, 2, 1, 6, 6, 2, 6, 2, 2, 6, 1, 6, 6, 9, 2, 6, 10, 2, 6, 2, 10, 2, 10, 6, 2, 10, 1, 10, 6, 1, 6, 6, 1, 1, 1, 6, 10, 1, 1, 1, 1, 6, 6, 1, 1, 1, 10, 6, 1, 1, 1, 2, 2, 10, 10, 10, 1, 6, 1, 2, 1, 2, 2, 6, 2, 6, 50, 6, 1, 2, 1, 1, 1, 2, 6, 10, 6, 1, 2, 1, 6, 6, 1, 1, 1, 10, 10, 2, 10, 1, 6, 1, 10, 1, 10, 1, 10, 6, 9, 10, 10, 10, 6, 10, 1, 10, 6, 10, 10, 6, 1, 6, 1, 1, 2, 2, 2, 10, 10, 2, 10, 2, 6, 10, 6, 6, 1, 1, 2, 1, 1, 10, 1, 10, 1, 1, 2, 10, 10, 1, 6, 6, 9, 6, 1, 10, 1, 1, 10, 10, 10, 10, 6, 10, 2, 2, 1, 2, 10, 1, 10, 0, 9, 2, 1, 10, 6, 10, 2, 1, 10, 6, 1, 1, 5, 10, 2, 1, 10, 10, 2, 1, 1, 10, 6, 6, 10, 1, 2, 1, 6, 1, 2, 2, 2, 1, 10, 1, 2, 10, 1, 9, 2, 6, 10, 6, 2, 10, 1, 10, 5, 0, 1, 2, 10, 1, 10, 10, 10, 2, 1, 1, 2, 10, 2, 10, 1, 1, 6, 6, 1, 2, 10, 6, 1, 2, 1, 10, 2, 10, 10, 10, 10, 6, 2, 2, 10, 6, 10, 10, 2, 2, 10, 10, 2, 0, 5, 4, 10, 10, 1, 6, 1, 6, 10, 6, 10, 1, 1, 2, 10, 1, 1, 2, 6, 2, 10, 10, 6, 6, 1, 6, 1, 10, 2, 6, 10, 10, 2, 1, 6, 1, 10, 2, 1, 6, 6, 6, 6, 1, 10, 6, 1, 1, 2, 3, 6, 1, 1, 2, 1, 1, 10, 2, 2, 2, 2, 10, 10, 2, 10, 1, 6, 10, 10, 10, 2, 1, 2, 2, 10, 10, 2, 2, 2, 6, 6, 4, 1, 10, 1, 10, 6, 10, 10, 9, 2, 2, 6, 10, 10, 2, 10, 10, 2, 10, 6, 5, 1, 1, 10, 1, 2, 4, 2, 2, 6, 2, 10, 6, 6, 2, 6, 10, 2, 2, 6, 1, 1, 6, 10, 1, 10, 9, 0, 1, 6, 2, 1, 10, 10, 1, 1, 2, 4, 2, 10, 2, 10, 1, 6, 10, 2, 10, 2, 2, 2, 1, 10, 1, 6, 10, 4, 1, 10, 1, 2, 2, 6, 10, 10, 2, 6, 1, 6, 1, 10, 1, 1, 6, 2, 1, 2, 10, 1, 1, 10, 10, 10, 10, 1, 6, 2, 1, 1, 2, 5, 10, 6, 2, 10, 10, 2, 2, 6, 2, 2, 6, 2, 10, 6, 2, 2, 1, 1, 6, 10, 2, 2, 6, 2, 6, 10, 2, 2, 10, 1, 2, 6, 2, 10, 6, 6, 2, 10, 2, 6, 2, 5, 1, 6, 10, 10, 1, 6, 2, 0, 10, 6, 6, 10, 6, 1, 6, 2, 2, 2, 6, 6, 10, 6, 1, 6, 10, 9, 10, 6, 2, 2, 10, 2, 2, 9, 1, 6, 6, 6, 6, 2, 6, 10, 1, 10, 6, 2, 10, 6, 6, 1, 2, 6, 2, 2, 6, 6, 1, 6, 10, 2, 10, 2, 10, 1, 1, 2, 1, 1, 6, 1, 6, 6, 6, 2, 6, 10, 1, 2, 10, 2, 6, 2, 6, 6, 0, 2, 6, 1, 2, 6, 2, 10, 10, 10, 10, 5, 2, 2, 2, 5, 2, 6, 10, 2, 10, 1, 6, 1, 1, 6, 10, 10, 10, 6, 2, 2, 2, 1, 1, 10, 6, 6, 1, 1, 6, 9, 1, 10, 1, 2, 1, 6, 6, 2, 6, 2, 6, 10, 6, 1, 1, 1, 10, 1, 10, 9, 10, 6, 2, 4, 10, 1, 1, 2, 2, 6, 10, 10, 6, 10, 6, 6, 1, 6, 6, 2, 1, 2, 10, 10, 10, 6, 2, 10, 6, 1, 4, 2, 2, 1, 2, 2, 2, 2, 6, 10, 2, 2, 6, 2, 1, 2, 1, 6, 6, 2, 1, 6, 1, 10, 1, 2, 6, 6, 1, 2, 1, 10, 1, 6, 1, 6, 1, 6, 2, 1, 2, 10, 10, 10, 2, 6, 10, 2, 1, 6, 1, 1, 2, 10, 2, 2, 6, 6, 6, 10, 2, 2, 2, 6, 1, 6, 2, 6, 6, 1, 2, 6, 6, 6, 6, 1, 10, 10, 6, 6, 2, 10, 10, 6, 1, 10, 6, 10, 1, 6, 2, 6, 6, 1, 1, 2, 10, 1, 6, 6, 10, 10, 2, 6, 2, 10, 6, 6, 1, 6, 4, 10, 1, 10, 5, 0, 10, 1, 6, 0, 2, 10, 10, 10, 10, 2, 6, 2, 10, 10, 2, 2, 5, 10, 10, 2, 1, 6, 10, 6, 1, 1, 6, 1, 2, 2, 2, 2, 6, 2, 1, 6, 10, 6, 6, 6, 2, 10, 6, 10, 10, 10, 10, 6, 1, 1, 10, 10, 2, 1, 10, 10, 6, 1, 1, 6, 1, 1, 1, 10, 6, 2, 6, 6, 1, 10, 2, 2, 10, 2, 6, 2, 6, 10, 2, 2, 6, 10, 10, 10, 2, 1, 1, 1, 10, 10, 1, 1, 2, 6, 10, 1, 10, 10, 1, 6, 2, 6, 10, 10, 1, 2, 2, 6, 1, 10, 1, 2, 1, 10, 10, 1, 10, 10, 10, 2, 10, 6, 2, 6, 6, 10, 1, 1, 2, 6, 6, 2, 6, 10, 6, 6, 9, 10, 1, 6, 1, 2, 10, 1, 2, 2, 10, 1, 1, 6, 10, 10, 1, 6, 10, 6, 2, 6, 6, 2, 10, 2, 2, 4, 2, 10, 6, 6, 1, 2, 2, 1, 1, 6, 1, 6, 1, 1, 9, 6, 1, 6, 10, 1, 10, 6, 6, 2, 2, 1, 6, 10, 2, 6, 6, 2, 1, 1, 2, 10, 6, 10, 1, 10, 2, 6, 4, 2, 6, 10, 6, 1, 10, 1, 1, 1, 2, 10, 0, 2, 0, 2, 6, 2, 10, 1, 2, 1, 1, 2, 2, 6, 1, 2, 1, 10, 1, 0, 10, 2, 6, 10, 10, 1, 2, 6, 10, 10, 2, 1, 2, 1, 6, 6, 7, 6, 6, 10, 1, 6, 6, 1, 1, 2, 4, 10, 10, 2, 1, 2, 6, 1, 6, 1, 6, 2, 10, 6, 2, 2, 6, 10, 2, 10, 10, 1, 1, 10, 2, 10, 1, 6, 2, 6, 1, 2, 1, 6, 6, 2, 10, 6, 1, 2, 10, 10, 1, 10, 2, 10, 6, 1, 6, 6, 10, 10, 2, 2, 10, 2, 1, 6, 2, 2, 1, 6, 6, 1, 2, 2, 10, 6, 2, 6, 1, 5, 10, 6, 6, 6, 6, 1, 2, 10, 6, 6, 1, 1, 6, 2, 5, 10, 5, 6, 1, 2, 10, 0, 6, 2, 10, 1, 1, 2, 10, 10, 2, 2, 2, 1, 6, 2, 10, 10, 2, 10, 10, 2, 2, 10, 10, 6, 10, 2, 2, 10, 10, 2, 6, 6, 6, 1, 2, 2, 6, 10, 2, 2, 2, 2, 6, 2, 2, 5, 6, 2, 1, 6, 10, 2, 6, 1, 6, 10, 6, 10, 5, 6, 1, 2, 10, 2, 1, 4, 6, 10, 10, 1, 6, 2, 10, 10, 10, 1, 10, 10, 1, 2, 1, 1, 2, 6, 2, 2, 1, 6, 6, 10, 2, 2, 2, 4, 1, 2, 9, 2, 6, 6, 1, 2, 10, 1, 6, 6, 1, 2, 10, 2, 6, 6, 10, 2, 6, 10, 2, 10, 10, 2, 10, 2, 10, 1, 1, 1, 10, 6, 2, 1, 1, 10, 1, 1, 6, 2, 5, 10, 10, 2, 10, 1, 2, 1, 6, 1, 1, 6, 10, 6, 6, 2, 10, 1, 10, 1, 6, 10, 2, 1, 2, 2, 9, 1, 5, 10, 10, 6, 2, 2, 6, 10, 10, 2, 10, 1, 2, 6, 6, 5, 10, 2, 1, 10, 6, 2, 6, 6, 6, 1, 10, 2, 2, 10, 6, 2, 6, 6, 1, 10, 2, 6, 10, 2, 10, 0, 1, 1, 1, 6, 6, 10, 6, 2, 6, 1, 10, 6, 1, 6, 5, 10, 1, 2, 6, 10, 2, 1, 1, 1, 2, 10, 1, 2, 6, 2, 1, 2, 2, 10, 10, 6, 1, 6, 1, 1, 6, 10, 1, 10, 2, 10, 2, 2, 2, 6, 1, 1, 10, 1, 2, 6, 2, 6, 1, 6, 2, 6, 1, 2, 9, 9, 2, 1, 6, 1, 2, 2, 10, 1, 6, 10, 2, 2, 1, 1, 1, 1, 1, 2, 10, 10, 1, 6, 6, 1, 6, 9, 1, 10, 10, 6, 6, 6, 2, 6, 10, 6, 9, 6, 6, 2, 6, 1, 10, 1, 6, 2, 10, 10, 6, 1, 2, 10, 6, 10, 6, 1, 6, 10, 2, 1, 2, 6, 10, 10, 4, 2, 1, 10, 5, 2, 1, 1, 6, 2, 1, 2, 1, 6, 2, 2, 6, 10, 10, 2, 2, 5, 2, 10, 6, 6, 2, 10, 6, 2, 10, 10, 1, 2, 2, 1, 1, 2, 1, 10, 10, 6, 1, 2, 2, 10, 2, 1, 10, 2, 10, 10, 10, 1, 2, 1, 10, 10, 6, 2, 1, 6, 1, 6, 10, 1, 10, 10, 1, 2, 2, 9, 1, 10, 10, 0, 5, 1, 10, 1, 10, 2, 2, 1, 10, 10, 10, 1, 2, 6, 10, 2, 5, 1, 6, 10, 6, 10, 1, 2, 10, 1, 10, 1, 10, 6, 1, 10, 1, 1, 10, 2, 1, 1, 1, 10, 2, 1, 2, 10, 9, 6, 2, 10, 2, 6, 2, 0, 6, 10, 10, 6, 2, 6, 10, 6, 6, 0, 6, 2, 10, 2, 1, 1, 10, 2, 6, 2, 1, 6, 1, 1, 10, 2, 10, 6, 6, 6, 6, 6, 1, 2, 1, 1, 6, 2, 2, 6, 1, 1, 2, 6, 1, 6, 2, 10, 6, 1, 6, 6, 2, 1, 6, 1, 1, 2, 6, 6, 6, 2, 1, 6, 2, 6, 1, 1, 10, 2, 6, 6, 6, 1, 6, 1, 2, 2, 10, 1, 2, 1, 10, 2, 6, 10, 6, 1, 6, 10, 2, 2, 6, 6, 1, 1, 1, 1, 10, 6, 2, 1, 10, 1, 6, 1, 2, 2, 10, 2, 6, 6, 10, 6, 1, 2, 10, 2, 10, 2, 2, 10, 0, 6, 2, 1, 2, 5, 1, 1, 1, 1, 10, 1, 10, 2, 6, 6, 1, 10, 6, 6, 2, 2, 1, 6, 10, 10, 6, 2, 6, 10, 6, 10, 2, 6, 6, 10, 10, 6, 10, 6, 2, 10, 2, 10, 1, 1, 2, 1, 10, 2, 1, 10, 10, 1, 1, 1, 6, 2, 2, 10, 10, 6, 2, 2, 6, 6, 10, 10, 2, 6, 10, 1, 1, 2, 10, 1, 1, 1, 2, 10, 10, 10, 10, 2, 10, 10, 10, 1, 2, 2, 2, 1, 1, 1, 10, 2, 10, 6, 6, 2, 1, 6, 10, 1, 1, 6, 1, 2, 6, 10, 10, 2, 1, 1, 10, 6, 6, 2, 1, 1, 6, 2, 6, 2, 2, 1, 10, 2, 6, 2, 6, 6, 2, 1, 2, 1, 1, 2, 2, 10, 6, 1, 10, 1, 10, 6, 4, 1, 2, 2, 2, 1, 2, 10, 2, 1, 2, 1, 10, 1, 6, 10, 50, 10, 1, 6, 6, 10, 9, 2, 10, 6, 2, 2, 1, 2, 9, 2, 1, 2, 2, 6, 10, 10, 10, 10, 1, 6, 6, 10, 10, 2, 6, 6, 10, 1, 1, 10, 1, 10, 10, 6, 2, 2, 2, 2, 2, 1, 2, 2, 6, 10, 1, 6, 10, 2, 6, 10, 1, 6, 6, 6, 2, 2, 6, 5, 1, 10, 1, 2, 1, 2, 10, 2, 5, 50, 6, 6, 10, 9, 6, 10, 2, 1, 2, 6, 10, 2, 6, 1, 1, 10, 10, 10, 2, 10, 1, 2, 10, 6, 2, 6, 10, 1, 10, 6, 2, 6, 2, 1, 2, 1, 6, 2, 1, 10, 10, 2, 1, 10, 6, 2, 10, 2, 6, 1, 2, 6, 2, 10, 6, 10, 1, 6, 10, 1, 6, 10, 0, 1, 2, 10, 6, 1, 2, 2, 2, 10, 2, 10, 1, 1, 1, 1, 10, 2, 2, 6, 2, 2, 10, 2, 2, 10, 2, 6, 2, 2, 10, 6, 1, 10, 10, 6, 2, 6, 6, 2, 10, 6, 1, 1, 1, 1, 2, 1, 10, 0, 2, 6, 2, 6, 10, 6, 10, 10, 1, 10, 10, 2, 6, 4, 10, 5, 10, 6, 10, 1, 2, 1, 2, 1, 2, 6, 6, 2, 6, 1, 2, 6, 2, 10, 10, 1, 2, 2, 10, 2, 6, 2, 2, 2, 6, 10, 2, 10, 2, 6, 1, 1, 6, 10, 10, 2, 10, 2, 1, 6, 1, 1, 2, 1, 1, 10, 10, 10, 6, 6, 6, 2, 10, 1, 6, 10, 1, 6, 1, 5, 10, 10, 1, 2, 1, 6, 6, 1, 2, 10, 10, 1, 6, 6, 10, 6, 10, 10, 9, 1, 2, 2, 1, 10, 10, 6, 6, 10, 10, 6, 1, 6, 6, 1, 9, 10, 1, 1, 2, 6, 2, 2, 10, 10, 10, 1, 6, 6, 10, 2, 6, 10, 10, 2, 10, 2, 6, 6, 10, 10, 2, 1, 10, 2, 10, 10, 6, 2, 10, 1, 1, 10, 1, 1, 2, 6, 10, 2, 1, 10, 6, 1, 10, 2, 1, 2, 2, 2, 1, 2, 1, 6, 2, 2, 6, 6, 1, 6, 10, 1, 6, 6, 1, 6, 10, 6, 1, 6, 2, 2, 10, 2, 6, 6, 2, 1, 6, 6, 1, 1, 10, 1, 2, 2, 2, 4, 10, 2, 2, 6, 6, 9, 2, 1, 0, 0, 10, 2, 6, 10, 2, 10, 6, 1, 10, 10, 9, 2, 10, 1, 2, 1, 6, 1, 10, 10, 6, 10, 10, 6, 2, 6, 6, 6, 2, 2, 10, 2, 2, 2, 2, 2, 1, 1, 10, 1, 2, 2, 10, 2, 2, 1, 10, 6, 1, 2, 1, 2, 2, 1, 2, 2, 6, 6, 1, 1, 4, 1, 6, 6, 1, 2, 1, 10, 1, 1, 2, 6, 2, 2, 2, 6, 6, 2, 2, 6, 1, 2, 1, 10, 6, 1, 10, 6, 0, 6, 10, 2, 1, 6, 6, 10, 6, 2, 1, 2, 1, 1, 10, 1, 6, 1, 10, 2, 2, 10, 2, 1, 6, 1, 10, 1, 10, 10, 6, 2, 10, 6, 2, 1, 10, 2, 6, 6, 6, 6, 10, 2, 1, 1, 1, 2, 2, 2, 10, 2, 10, 10, 10, 2, 10, 1, 1, 6, 10, 1, 1, 10, 10, 6, 10, 1, 2, 2, 6, 1, 10, 2, 2, 1, 6, 6, 10, 1, 6, 2, 6, 1, 1, 10, 6, 10, 1, 1, 1, 2, 6, 2, 6, 2, 1, 10, 10, 1, 6, 10, 2, 10, 2, 6, 6, 6, 6, 10, 2, 6, 6, 2, 10, 0, 2, 10, 2, 2, 6, 6, 6, 2, 2, 6, 6, 1, 2, 2, 1, 10, 2, 6, 6, 2, 6, 2, 2, 1, 1, 1, 2, 2, 10, 10, 10, 1, 6, 2, 6, 10, 10, 0, 6, 6, 1, 1, 6, 10, 2, 0, 6, 10, 1, 1, 10, 10, 6, 1, 10, 1, 10, 6, 2, 10, 2, 2, 5, 10, 5, 6, 2, 1, 2, 1, 6, 1, 2, 10, 1, 2, 10, 10, 2, 1, 6, 10, 10, 6, 6, 2, 10, 9, 2, 2, 10, 10, 1, 1, 1, 10, 9, 6, 5, 1, 10, 2, 10, 10, 2, 10, 1, 2, 6, 10, 1, 1, 10, 6, 6, 1, 6, 1, 10, 1, 6, 10, 10, 1, 6, 1, 6, 6, 6, 2, 2, 10, 1, 10, 1, 1, 6, 10, 2, 2, 2, 2, 9, 6, 6, 10, 6, 6, 6, 10, 6, 6, 6, 6, 1, 2, 10, 2, 6, 10, 6, 2, 6, 6, 2, 10, 2, 2, 1, 10, 10, 10, 4, 10, 9, 1, 2, 1, 2, 1, 2, 2, 2, 2, 5, 1, 1, 1, 10, 1, 6, 2, 1, 6, 2, 1, 6, 6, 1, 6, 2, 6, 2, 1, 2, 10, 1, 2, 10, 10, 6, 6, 6, 10, 2, 1, 6, 6, 6, 2, 6, 1, 2, 10, 2, 6, 10, 6, 1, 6, 2, 1, 1, 10, 1, 0, 6, 6, 1, 1, 2, 2, 10, 6, 6, 10, 10, 1, 1, 10, 10, 2, 10, 10, 10, 10, 2, 6, 10, 1, 6, 6, 1, 2, 10, 2, 2, 1, 10, 4, 1, 2, 10, 2, 1, 10, 2, 6, 6, 2, 2, 1, 6, 10, 2, 4, 1, 2, 6, 6, 2, 1, 6, 6, 10, 10, 10, 2, 10, 1, 2, 10, 1, 2, 2, 1, 6, 2, 1, 2, 10, 1, 10, 6, 1, 6, 10, 1, 10, 2, 2, 1, 1, 1, 1, 6, 10, 4, 2, 10, 6, 6, 10, 6, 10, 2, 6, 6, 1, 2, 2, 2, 10, 1, 6, 9, 2, 6, 2, 1, 1, 2, 6, 1, 2, 6, 1, 6, 6, 6, 2, 10, 1, 6, 2, 10, 1, 1, 6, 1, 10, 1, 2, 10, 2, 10, 6, 10, 6, 10, 1, 1, 10, 10, 6, 6, 2, 6, 6, 6, 4, 10, 1, 2, 2, 2, 10, 2, 2, 6, 1, 10, 10, 6, 2, 10, 6, 1, 1, 2, 1, 6, 0, 2, 6, 1, 6, 10, 10, 6, 2, 10, 1, 2, 6, 10, 2, 5, 10, 1, 1, 2, 10, 2, 2, 6, 10, 2, 1, 6, 6, 10, 10, 1, 1, 2, 2, 6, 10, 6, 6, 6, 10, 2, 10, 10, 2, 10, 2, 2, 1, 6, 1, 1, 6, 1, 1, 2, 6, 2, 2, 10, 1, 6, 10, 2, 2, 10, 2, 2, 2, 2, 2, 10, 1, 10, 1, 1, 10, 6, 6, 2, 6, 6, 6, 10, 1, 1, 6, 10, 1, 10, 6, 1, 10, 6, 1, 1, 2, 2, 6, 6, 2, 1, 10, 1, 10, 2, 6, 2, 10, 0, 6, 1, 10, 2, 1, 6, 10, 2, 2, 1, 10, 1, 6, 2, 1, 10, 1, 2, 2, 6, 1, 2, 1, 2, 10, 6, 10, 0, 6, 1, 6, 2, 2, 1, 2, 9, 6, 10, 10, 2, 1, 6, 6, 10, 10, 2, 2, 2, 9, 6, 6, 10, 10, 6, 1, 10, 1, 1, 10, 2, 10, 1, 6, 6, 1, 6, 5, 1, 2, 1, 10, 1, 1, 2, 2, 6, 1, 6, 0, 1, 2, 6, 1, 1, 10, 1, 1, 10, 10, 6, 2, 2, 1, 10, 1, 6, 2, 10, 2, 6, 1, 6, 2, 2, 1, 10, 1, 10, 6, 6, 1, 1, 1, 9, 6, 1, 6, 2, 1, 6, 10, 2, 6, 1, 2, 1, 10, 10, 2, 6, 10, 6, 6, 2, 2, 1, 10, 2, 2, 10, 10, 6, 10, 10, 2, 1, 10, 6, 10, 2, 2, 10, 1, 1, 6, 2, 10, 6, 10, 10, 10, 10, 1, 10, 2, 6, 6, 1, 10, 1, 6, 10, 10, 1, 6, 2, 6, 1, 6, 10, 6, 1, 1, 6, 2, 2, 2, 2, 10, 6, 6, 10, 6, 6, 2, 1, 10, 1, 6, 1, 2, 6, 6, 2, 10, 10, 6, 6, 2, 5, 6, 6, 10, 6, 6, 10, 1, 2, 10, 10, 10, 6, 6, 10, 2, 1, 2, 10, 2, 2, 6, 10, 10, 1, 1, 1, 6, 10, 2, 6, 6, 9, 10, 1, 10, 1, 2, 2, 1, 10, 2, 10, 2, 2, 6, 6, 6, 0, 2, 10, 10, 6, 2, 10, 10, 2, 1, 1, 2, 1, 2, 0, 1, 6, 6, 1, 1, 6, 2, 10, 2, 6, 0, 2, 1, 1, 10, 6, 2, 6, 10, 6, 10, 6, 1, 2, 2, 10, 10, 2, 10, 6, 10, 1, 0, 10, 1, 2, 6, 10, 1, 1, 6, 6, 2, 2, 10, 10, 2, 1, 6, 0, 6, 1, 1, 2, 1, 2, 10, 6, 10, 6, 6, 10, 10, 2, 1, 10, 2, 6, 2, 6, 10, 10, 10, 6, 1, 6, 1, 1, 6, 1, 6, 6, 10, 2, 10, 10, 10, 6, 10, 10, 6, 9, 1, 10, 10, 10, 1, 10, 40, 2, 6, 2, 6, 10, 6, 6, 10, 6, 6, 2, 6, 6, 6, 4, 2, 1, 10, 2, 2, 6, 2, 1, 2, 2, 6, 1, 6, 1, 1, 6, 10, 6, 9, 2, 6, 2, 6, 2, 2, 1, 5, 6, 2, 6, 6, 6, 1, 10, 10, 6, 6, 6, 2, 1, 1, 2, 1, 10, 10, 6, 2, 6, 5, 6, 10, 6, 6, 10, 9, 10, 1, 10, 6, 1, 2, 10, 2, 6, 2, 2, 6, 2, 1, 6, 2, 2, 2, 2, 10, 1, 10, 2, 6, 2, 6, 1, 2, 2, 6, 6, 6, 1, 6, 6, 6, 6, 2, 1, 2, 6, 6, 1, 10, 1, 6, 2, 10, 10, 2, 6, 1, 1, 6, 10, 1, 10, 10, 6, 1, 6, 6, 6, 6, 2, 10, 2, 2, 2, 10, 6, 1, 10, 2, 6, 2, 1, 1, 2, 2, 2, 6, 2, 2, 1, 0, 2, 6, 2, 1, 1, 2, 1, 1, 50, 10, 1, 1, 2, 2, 2, 1, 1, 10, 1, 1, 10, 6, 6, 10, 6, 2, 1, 1, 2, 10, 1, 10, 6, 1, 10, 10, 6, 1, 1, 10, 6, 6, 10, 10, 10, 6, 2, 1, 2, 2, 1, 10, 1, 6, 2, 6, 10, 5, 10, 6, 1, 10, 10, 10, 1, 2, 6, 6, 1, 2, 2, 2, 1, 6, 1, 1, 6, 2, 2, 10, 6, 6, 1, 6, 6, 6, 10, 1, 2, 6, 6, 2, 1, 6, 6, 10, 6, 2, 1, 2, 1, 10, 10, 0, 10, 1, 6, 10, 6, 2, 1, 1, 10, 1, 2, 10, 1, 2, 10, 6, 2, 6, 10, 2, 10, 10, 6, 6, 5, 1, 1, 2, 1, 6, 10, 6, 10, 6, 10, 6, 2, 1, 6, 10, 2, 2, 6, 6, 2, 6, 10, 6, 6, 6, 6, 1, 10, 10, 1, 1, 1, 10, 6, 1, 1, 5, 2, 6, 10, 6, 2, 6, 6, 6, 2, 6, 2, 1, 10, 10, 1, 6, 1, 2, 6, 6, 2, 1, 6, 6, 10, 1, 10, 10, 5, 10, 10, 10, 2, 1, 1, 2, 2, 1, 6, 6, 10, 2, 6, 2, 2, 1, 10, 6, 10, 10, 10, 10, 6, 10, 10, 2, 2, 2, 10, 1, 10, 2, 6, 10, 2, 2, 1, 2, 1, 9, 0, 10, 10, 2, 10, 2, 10, 2, 6, 2, 10, 6, 1, 10, 2, 2, 6, 2, 1, 6, 10, 1, 1, 2, 2, 6, 2, 2, 10, 10, 10, 1, 6, 2, 6, 10, 2, 1, 2, 6, 6, 1, 10, 6, 2, 2, 6, 6, 6, 0, 6, 6, 1, 10, 2, 6, 6, 6, 10, 10, 2, 1, 6, 1, 2, 10, 10, 6, 6, 1, 6, 6, 6, 2, 2, 6, 10, 1, 1, 10, 6, 10, 6, 2, 2, 10, 10, 2, 2, 1, 1, 1, 6, 10, 10, 2, 10, 6, 2, 2, 2, 2, 1, 1, 2, 10, 10, 10, 2, 10, 2, 4, 2, 5, 2, 2, 1, 1, 6, 6, 6, 10, 1, 10, 2, 1, 6, 2, 10, 1, 1, 1, 1, 10, 1, 1, 10, 1, 2, 6, 10, 1, 2, 10, 2, 1, 1, 1, 6, 10, 10, 10, 2, 4, 6, 6, 2, 1, 2, 6, 1, 2, 1, 10, 1, 1, 1, 10, 0, 1, 1, 1, 1, 6, 6, 10, 6, 2, 2, 2, 5, 9, 10, 6, 10, 6, 2, 1, 6, 10, 1, 10, 6, 10, 6, 1, 6, 2, 1, 2, 1, 2, 10, 1, 6, 2, 6, 10, 0, 1, 2, 2, 6, 6, 2, 10, 6, 1, 10, 1, 1, 1, 2, 10, 10, 6, 2, 10, 2, 6, 2, 1, 5, 2, 1, 1, 1, 1, 2, 1, 10, 6, 1, 10, 9, 6, 6, 6, 2, 1, 10, 6, 1, 2, 6, 10, 2, 10, 1, 10, 10, 6, 2, 2, 6, 1, 6, 6, 6, 1, 2, 6, 6, 1, 10, 6, 2, 1, 1, 6, 10, 6, 6, 6, 10, 1, 1, 6, 2, 2, 10, 6, 1, 10, 2, 1, 6, 10, 10, 1, 9, 4, 1, 6, 0, 6, 1, 6, 6, 6, 1, 2, 1, 6, 10, 1, 2, 2, 2, 6, 1, 2, 10, 1, 10, 1, 2, 10, 10, 2, 10, 6, 10, 1, 2, 1, 1, 1, 10, 1, 2, 6, 2, 10, 1, 6, 6, 6, 10, 10, 1, 2, 2, 0, 2, 1, 1, 10, 2, 2, 1, 2, 1, 1, 10, 1, 10, 6, 1, 10, 10, 10, 2, 10, 2, 10, 10, 6, 1, 6, 2, 6, 10, 2, 2, 10, 6, 2, 2, 6, 10, 6, 10, 2, 10, 6, 10, 6, 6, 10, 1, 2, 6, 2, 1, 10, 2, 6, 10, 6, 6, 2, 10, 1, 6, 1, 10, 1, 10, 2, 10, 2, 1, 10, 6, 2, 1, 2, 2, 2, 1, 40, 10, 2, 1, 10, 2, 2, 2, 10, 10, 2, 2, 1, 2, 2, 10, 10, 2, 6, 10, 5, 6, 0, 6, 10, 2, 2, 10, 2, 10, 10, 2, 6, 10, 2, 2, 10, 1, 1, 6, 1, 6, 1, 6, 10, 6, 6, 2, 2, 2, 1, 1, 1, 6, 10, 2, 2, 2, 6, 3, 6, 5, 1, 10, 2, 6, 1, 2, 6, 2, 6, 1, 1, 2, 10, 6, 1, 6, 2, 1, 6, 6, 10, 6, 10, 10, 6, 2, 2, 6, 6, 10, 10, 1, 2, 1, 1, 10, 1, 10, 1, 10, 1, 6, 1, 1, 1, 1, 10, 10, 10, 2, 10, 2, 10, 10, 1, 6, 1, 10, 1, 1, 1, 10, 2, 2, 1, 2, 6, 1, 2, 1, 2, 10, 10, 1, 2, 2, 10, 2, 10, 10, 0, 10, 6, 10, 6, 2, 10, 5, 1, 10, 6, 1, 6, 2, 6, 10, 10, 2, 2, 10, 2, 2, 10, 10, 2, 2, 1, 6, 1, 1, 1, 1, 1, 10, 10, 2, 10, 2, 2, 6, 10, 10, 10, 6, 2, 6, 1, 2, 6, 10, 6, 1, 1, 2, 2, 2, 1, 10, 6, 1, 6, 10, 1, 2, 6, 1, 1, 2, 2, 1, 10, 6, 2, 6, 10, 6, 2, 2, 2, 10, 1, 2, 6, 10, 2, 1, 1, 10, 10, 10, 2, 10, 2, 6, 10, 10, 1, 1, 10, 6, 6, 10, 1, 10, 2, 10, 10, 10, 10, 2, 10, 2, 10, 10, 6, 5, 6, 6, 1, 10, 10, 6, 6, 2, 2, 10, 1, 6, 6, 10, 1, 10, 9, 1, 10, 2, 6, 10, 6, 10, 1, 6, 0, 10, 10, 10, 2, 1, 2, 2, 10, 9, 1, 6, 10, 6, 2, 10, 10, 6, 2, 1, 6, 1, 2, 1, 2, 2, 6, 10, 6, 6, 10, 10, 6, 1, 1, 10, 6, 2, 1, 1, 10, 2, 10, 1, 1, 1, 2, 2, 1, 6, 1, 10, 1, 6, 6, 6, 1, 1, 1, 2, 1, 1, 2, 1, 10, 2, 10, 6, 2, 2, 10, 6, 1, 2, 1, 10, 6, 6, 1, 6, 1, 6, 2, 6, 2, 10, 10, 6, 10, 2, 10, 1, 1, 2, 2, 1, 10, 10, 2, 6, 10, 10, 10, 1, 1, 1, 6, 1, 2, 2, 6, 10, 1, 6, 6, 2, 6, 1, 6, 10, 2, 1, 10, 10, 10, 1, 2, 10, 2, 1, 10, 2, 1, 1, 6, 1, 2, 1, 2, 6, 10, 6, 1, 10, 2, 2, 2, 2, 10, 10, 6, 10, 2, 10, 6, 6, 2, 6, 6, 6, 2, 1, 6, 6, 6, 2, 1, 10, 2, 1, 10, 1, 1, 6, 6, 2, 2, 2, 6, 2, 2, 6, 10, 1, 6, 6, 2, 2, 6, 1, 1, 2, 1, 9, 6, 10, 1, 4, 6, 2, 1, 6, 10, 2, 10, 10, 1, 2, 1, 1, 10, 10, 1, 1, 1, 10, 2, 1, 10, 1, 2, 2, 10, 6, 1, 6, 6, 6, 10, 10, 1, 1, 6, 1, 1, 2, 10, 1, 1, 2, 1, 1, 2, 6, 6, 1, 1, 1, 10, 4, 1, 9, 10, 10, 2, 2, 6, 10, 10, 1, 6, 6, 1, 6, 10, 10, 10, 1, 10, 6, 10, 2, 10, 10, 1, 6, 10, 2, 10, 2, 1, 1, 2, 1, 0, 10, 2, 2, 6, 10, 2, 10, 1, 1, 6, 2, 10, 6, 2, 6, 1, 1, 1, 10, 6, 0, 2, 1, 10, 1, 2, 1, 10, 6, 10, 2, 2, 1, 2, 2, 10, 1, 10, 2, 2, 2, 1, 2, 2, 1, 6, 1, 1, 2, 2, 2, 10, 10, 1, 6, 1, 2, 10, 10, 10, 1, 2, 6, 10, 10, 6, 2, 6, 10, 2, 1, 10, 2, 2, 6, 10, 10, 10, 6, 6, 2, 10, 10, 6, 2, 6, 6, 2, 6, 10, 1, 6, 10, 6, 1, 1, 1, 2, 10, 6, 60, 1, 2, 6, 10, 1, 2, 2, 10, 1, 10, 10, 1, 2, 1, 10, 6, 2, 6, 6, 6, 6, 6, 10, 4, 10, 10, 6, 2, 1, 2, 9, 6, 6, 10, 6, 6, 1, 1, 6, 2, 2, 1, 2, 6, 6, 6, 10, 2, 10, 6, 1, 1, 6, 2, 1, 1, 10, 10, 1, 6, 2, 1, 2, 6, 6, 10, 2, 1, 1, 10, 10, 6, 6, 1, 10, 2, 2, 6, 2, 1, 10, 6, 1, 6, 10, 2, 1, 2, 1, 2, 6, 6, 2, 1, 10, 6, 10, 6, 1, 10, 1, 1, 2, 10, 2, 6, 2, 10, 1, 2, 1, 10, 6, 1, 1, 6, 6, 6, 6, 2, 1, 6, 1, 2, 6, 1, 6, 1, 1, 1, 1, 4, 1, 6, 10, 2, 2, 2, 1, 1, 6, 6, 2, 2, 6, 10, 10, 1, 10, 10, 10, 6, 10, 2, 6, 6, 1, 10, 2, 1, 1, 6, 1, 10, 6, 6, 2, 4, 1, 10, 1, 2, 1, 1, 1, 2, 6, 10, 10, 1, 10, 2, 6, 2, 1, 6, 4, 10, 6, 1, 6, 4, 1, 10, 10, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 9, 6, 9, 9, 2, 2, 2, 1, 10, 2, 6, 1, 2, 2, 1, 10, 2, 5, 1, 2, 2, 2, 2, 2, 6, 1, 6, 2, 1, 6, 6, 10, 6, 6, 2, 6, 10, 6, 10, 6, 1, 1, 6, 10, 6, 2, 2, 1, 2, 6, 6, 1, 1, 2, 6, 2, 10, 1, 10, 6, 0, 10, 6, 1, 2, 1, 2, 2, 2, 1, 2, 6, 6, 10, 6, 6, 1, 6, 6, 4, 2, 2, 10, 10, 6, 6, 6, 10, 10, 2, 6, 6, 9, 1, 2, 10, 6, 10, 10, 6, 6, 6, 6, 2, 2, 10, 10, 10, 10, 10, 2, 6, 6, 10, 2, 1, 1, 6, 2, 2, 10, 2, 2, 6, 6, 1, 6, 10, 6, 10, 6, 1, 1, 6, 1, 6, 2, 1, 2, 6, 2, 2, 1, 6, 1, 6, 60, 10, 6, 10, 6, 6, 1, 2, 10, 2, 10, 1, 10, 1, 1, 6, 6, 6, 10, 1, 1, 2, 0, 10, 2, 1, 6, 1, 2, 1, 6, 10, 6, 2, 1, 1, 2, 1, 10, 10, 6, 2, 0, 6, 2, 1, 1, 6, 2, 1, 2, 2, 6, 10, 6, 10, 10, 2, 6, 6, 10, 2, 2, 1, 4, 1, 10, 1, 6, 10, 10, 1, 2, 1, 10, 2, 8, 10, 10, 10, 10, 10, 1, 1, 10, 2, 1, 6, 1, 6, 6, 2, 10, 2, 6, 2, 1, 2, 10, 10, 1, 2, 10, 6, 2, 10, 6, 6, 1, 2, 10, 1, 6, 1, 10, 10, 10, 2, 1, 6, 1, 1, 10, 6, 2, 2, 10, 6, 2, 6, 1, 1, 10, 4, 2, 6, 1, 2, 2, 2, 10, 1, 10, 10, 2, 6, 10, 6, 1, 10, 10, 0, 2, 1, 6, 2, 10, 6, 2, 6, 2, 2, 1, 10, 6, 2, 6, 2, 2, 1, 2, 6, 2, 1, 1, 2, 2, 10, 10, 10, 2, 6, 10, 2, 10, 10, 6, 10, 1, 1, 10, 1, 10, 10, 1, 1, 6, 10, 10, 1, 2, 6, 6, 2, 2, 10, 6, 2, 10, 2, 1, 2, 2, 1, 6, 2, 1, 6, 6, 6, 1, 1, 2, 2, 6, 10, 10, 1, 2, 1, 2, 2, 10, 6, 0, 10, 10, 2, 10, 1, 6, 2, 2, 1, 4, 6, 1, 2, 1, 2, 10, 10, 6, 10, 2, 10, 1, 6, 1, 2, 1, 6, 10, 10, 2, 2, 6, 1, 6, 2, 2, 6, 6, 10, 2, 6, 1, 1, 1, 2, 1, 2, 2, 10, 6, 6, 1, 10, 2, 12, 2, 6, 5, 1, 1, 2, 10, 6, 1, 4, 10, 2, 1, 6, 6, 10, 10, 1, 6, 2, 6, 0, 1, 2, 10, 6, 1, 10, 10, 1, 10, 1, 10, 6, 2, 10, 2, 2, 10, 10, 6, 10, 10, 2, 6, 9, 6, 10, 1, 2, 1, 0, 2, 10, 2, 2, 6, 6, 2, 6, 2, 6, 10, 6, 10, 2, 10, 6, 2, 1, 6, 2, 1, 2, 6, 6, 2, 1, 6, 2, 6, 2, 1, 10, 1, 2, 6, 2, 1, 1, 1, 10, 6, 1, 10, 10, 10, 10, 2, 6, 2, 2, 6, 10, 2, 6, 5, 2, 10, 0, 10, 6, 2, 1, 1, 2, 1, 1, 6, 1, 6, 10, 6, 6, 1, 1, 9, 2, 10, 2, 6, 10, 6, 1, 1, 4, 2, 2, 10, 6, 6, 1, 5, 2, 1, 1, 6, 10, 5, 6, 6, 2, 5, 10, 1, 2, 2, 6, 1, 10, 1, 1, 10, 0, 1, 6, 1, 6, 1, 10, 2, 1, 1, 10, 2, 6, 1, 1, 1, 6, 1, 2, 2, 6, 10, 6, 1, 10, 2, 1, 2, 2, 2, 10, 6, 1, 1, 10, 1, 6, 2, 1, 2, 2, 6, 6, 1, 10, 2, 9, 2, 6, 1, 6, 2, 2, 10, 10, 2, 6, 2, 6, 1, 2, 6, 2, 10, 4, 0, 2, 1, 1, 1, 3, 6, 2, 10, 10, 2, 2, 1, 1, 6, 1, 10, 1, 2, 2, 6, 2, 2, 10, 10, 6, 10, 6, 1, 6, 1, 2, 6, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 10, 6, 6, 10, 2, 1, 10, 6, 10, 6, 1, 2, 10, 2, 1, 6, 6, 6, 4, 1, 2, 6, 1, 9, 1, 10, 10, 2, 2, 6, 1, 2, 2, 6, 5, 10, 2, 1, 10, 10, 10, 1, 2, 2, 2, 0, 10, 2, 2, 2, 1, 10, 10, 1, 10, 10, 1, 10, 6, 2, 2, 6, 2, 1, 6, 1, 1, 6, 2, 10, 6, 1, 10, 10, 2, 10, 1, 1, 1, 2, 6, 1, 10, 9, 6, 2, 6, 2, 1, 2, 1, 1, 10, 6, 6, 6, 4, 10, 2, 2, 6, 1, 2, 2, 10, 6, 1, 6, 6, 10, 1, 10, 2, 1, 6, 2, 2, 1, 1, 10, 10, 6, 1, 2, 6, 1, 6, 1, 1, 6, 2, 10, 6, 6, 6, 2, 10, 6, 2, 6, 2, 6, 2, 2, 1, 2, 10, 1, 10, 1, 2, 1, 10, 1, 2, 10, 2, 1, 10, 6, 10, 2, 1, 2, 10, 10, 1, 2, 10, 6, 10, 6, 6, 10, 6, 2, 6, 2, 10, 6, 2, 10, 1, 10, 6, 2, 2, 6, 10, 2, 2, 1, 6, 10, 10, 10, 6, 10, 10, 10, 1, 6, 6, 2, 10, 6, 6, 6, 6, 1, 10, 2, 2, 6, 1, 6, 6, 2, 6, 2, 6, 6, 2, 2, 10, 1, 6, 1, 1, 2, 6, 6, 1, 6, 2, 10, 2, 10, 10, 10, 2, 10, 6, 1, 10, 6, 10, 1, 2, 6, 1, 6, 2, 6, 10, 6, 2, 6, 1, 1, 2, 1, 6, 10, 6, 1, 10, 1, 5, 6, 10, 2, 1, 1, 10, 9, 2, 1, 10, 6, 1, 10, 2, 1, 2, 6, 6, 2, 6, 1, 2, 1, 10, 2, 6, 2, 2, 2, 10, 2, 2, 2, 2, 6, 6, 10, 2, 1, 1, 6, 6, 6, 2, 1, 10, 6, 2, 6, 6, 2, 2, 1, 2, 6, 6, 10, 6, 2, 6, 6, 10, 10, 10, 10, 2, 1, 2, 6, 10, 1, 10, 6, 6, 6, 1, 10, 2, 2, 1, 2, 10, 6, 2, 2, 1, 10, 10, 2, 6, 6, 10, 6, 1, 6, 6, 10, 2, 10, 6, 10, 1, 6, 2, 2, 6, 2, 9, 1, 10, 2, 5, 10, 6, 6, 10, 10, 2, 10, 2, 6, 2, 10, 1, 10, 6, 6, 2, 1, 2, 2, 1, 6, 1, 6, 1, 6, 2, 1, 6, 1, 1, 6, 1, 4, 2, 6, 6, 6, 6, 6, 2, 10, 6, 6, 10, 10, 6, 6, 2, 6, 6, 6, 2, 1, 6, 10, 2, 2, 1, 6, 6, 6, 2, 6, 10, 1, 2, 6, 6, 2, 0, 10, 2, 10, 10, 10, 6, 2, 6, 2, 6, 10, 6, 2, 6, 10, 1, 10, 2, 2, 1, 2, 6, 10, 1, 10, 1, 2, 6, 1, 1, 10, 1, 6, 2, 6, 1, 6, 2, 10, 10, 6, 10, 4, 10, 6, 1, 1, 6, 1, 10, 10, 2, 2, 1, 1, 10, 1, 10, 1, 10, 1, 2, 1, 10, 6, 10, 1, 10, 10, 10, 10, 10, 2, 2, 1, 10, 1, 6, 1, 6, 6, 2, 6, 0, 6, 1, 10, 2, 1, 10, 2, 1, 2, 1, 1, 6, 1, 6, 10, 10, 10, 10, 6, 2, 6, 1, 4, 6, 10, 10, 10, 10, 1, 6, 10, 1, 10, 6, 6, 1, 2, 10, 6, 5, 6, 2, 6, 6, 1, 6, 6, 2, 6, 2, 6, 6, 4, 2, 10, 10, 1, 6, 10, 2, 6, 6, 6, 2, 6, 6, 2, 1, 1, 1, 1, 6, 6, 40, 10, 6, 6, 10, 2, 10, 1, 10, 1, 1, 1, 1, 6, 1, 6, 10, 1, 6, 1, 10, 10, 0, 10, 10, 0, 10, 1, 1, 6, 10, 2, 10, 2, 0, 1, 0, 6, 10, 10, 1, 2, 1, 6, 6, 2, 6, 10, 6, 2, 2, 2, 1, 10, 9, 6, 10, 10, 6, 2, 6, 6, 9, 6, 2, 10, 2, 6, 6, 2, 1, 10, 10, 6, 2, 2, 1, 1, 6, 1, 10, 6, 2, 2, 1, 2, 10, 10, 0, 6, 2, 6, 1, 6, 6, 1, 1, 6, 6, 1, 2, 2, 1, 1, 6, 1, 10, 1, 2, 10, 6, 1, 10, 10, 1, 6, 6, 2, 10, 10, 1, 1, 2, 1, 6, 10, 2, 2, 2, 1, 5, 1, 1, 6, 2, 1, 0, 6, 10, 10, 10, 2, 4, 10, 2, 10, 2, 1, 6, 10, 0, 6, 6, 10, 6, 1, 10, 2, 1, 6, 1, 2, 2, 6, 2, 6, 6, 1, 6, 6, 1, 6, 10, 2, 10, 10, 2, 6, 2, 2, 6, 2, 1, 2, 6, 10, 2, 1, 2, 10, 6, 0, 2, 6, 1, 2, 1, 6, 1, 6, 1, 6, 2, 10, 2, 10, 1, 10, 6, 6, 6, 2, 10, 6, 2, 1, 6, 1, 1, 0, 1, 2, 1, 10, 6, 1, 2, 6, 10, 10, 9, 6, 1, 2, 2, 6, 2, 6, 10, 10, 1, 10, 1, 4, 10, 10, 10, 2, 10, 5, 10, 10, 2, 2, 10, 1, 10, 10, 2, 1, 1, 6, 6, 2, 10, 1, 2, 6, 1, 10, 2, 10, 2, 10, 1, 6, 6, 5, 10, 10, 2, 10, 6, 10, 6, 1, 6, 10, 6, 10, 2, 1, 6, 1, 1, 10, 10, 10, 1, 2, 10, 2, 2, 6, 10, 10, 1, 6, 6, 6, 1, 10, 2, 10, 10, 1, 2, 1, 6, 2, 10, 1, 5, 10, 6, 10, 6, 6, 2, 1, 2, 2, 6, 10, 0, 10, 10, 6, 1, 6, 5, 1, 10, 2, 2, 6, 2, 6, 6, 2, 2, 6, 10, 10, 2, 6, 6, 1, 10, 6, 9, 6, 6, 1, 2, 6, 2, 10, 2, 6, 6, 10, 6, 10, 10, 1, 2, 6, 6, 2, 6, 10, 1, 6, 6, 6, 2, 1, 1, 2, 1, 1, 6, 6, 6, 1, 6, 6, 2, 10, 10, 10, 2, 6, 2, 10, 10, 10, 6, 6, 1, 10, 6, 2, 1, 6, 6, 10, 10, 5, 10, 1, 10, 6, 2, 1, 10, 2, 2, 6, 1, 2, 2, 1, 2, 2, 10, 10, 2, 10, 2, 10, 1, 1, 6, 10, 1, 2, 5, 10, 5, 6, 10, 1, 10, 6, 6, 6, 2, 1, 2, 6, 1, 10, 6, 2, 6, 1, 2, 10, 2, 1, 10, 30, 6, 6, 6, 6, 1, 10, 10, 10, 2, 10, 2, 6, 1, 6, 2, 2, 2, 1, 2, 6, 9, 10, 2, 1, 1, 6, 1, 1, 2, 2, 6, 10, 2, 1, 6, 2, 6, 6, 6, 6, 6, 2, 1, 1, 2, 10, 6, 1, 2, 1, 6, 1, 1, 6, 6, 2, 2, 10, 10, 6, 10, 10, 10, 2, 6, 2, 6, 1, 10, 6, 2, 1, 4, 10, 2, 10, 1, 1, 6, 1, 10, 6, 2, 1, 6, 10, 6, 6, 1, 6, 2, 6, 0, 1, 6, 10, 6, 6, 2, 6, 2, 2, 2, 6, 10, 10, 2, 1, 6, 8, 2, 1, 6, 10, 1, 6, 1, 1, 1, 2, 2, 6, 2, 10, 1, 2, 2, 10, 10, 9, 2, 10, 1, 2, 1, 6, 10, 6, 10, 1, 10, 1, 2, 6, 6, 1, 2, 1, 6, 10, 1, 2, 6, 2, 10, 6, 2, 10, 10, 10, 2, 10, 10, 1, 2, 1, 1, 2, 1, 6, 6, 1, 1, 2, 2, 1, 6, 6, 10, 6, 6, 6, 2, 2, 6, 10, 10, 6, 10, 10, 1, 10, 2, 10, 6, 10, 6, 5, 2, 1, 10, 1, 2, 6, 10, 10, 6, 6, 5, 10, 1, 6, 10, 6, 2, 10, 10, 10, 6, 2, 2, 10, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 6, 1, 2, 1, 2, 1, 6, 1, 10, 1, 1, 1, 0, 10, 10, 10, 6, 10, 2, 2, 2, 2, 10, 6, 4, 6, 10, 10, 10, 10, 6, 9, 6, 10, 2, 2, 10, 2, 6, 6, 2, 5, 1, 10, 6, 2, 2, 2, 2, 2, 10, 10, 1, 6, 6, 10, 2, 1, 2, 9, 10, 6, 1, 10, 6, 6, 6, 10, 1, 6, 6, 1, 1, 6, 10, 6, 10, 1, 10, 10, 2, 1, 1, 6, 10, 10, 2, 6, 9, 10, 4, 2, 6, 6, 1, 6, 6, 2, 2, 6, 2, 6, 2, 6, 2, 6, 6, 1, 10, 10, 6, 10, 10, 1, 10, 10, 10, 1, 6, 1, 2, 2, 1, 1, 2, 2, 10, 2, 1, 1, 10, 1, 1, 1, 1, 2, 1, 6, 2, 2, 9, 2, 1, 2, 1, 1, 6, 2, 6, 1, 6, 1, 6, 2, 2, 10, 10, 6, 10, 2, 2, 10, 6, 2, 6, 2, 1, 2, 1, 6, 1, 1, 1, 2, 10, 10, 1, 1, 6, 10, 10, 2, 4, 10, 4, 2, 10, 6, 10, 10, 2, 2, 10, 2, 10, 10, 2, 1, 1, 2, 10, 10, 2, 10, 2, 2, 6, 2, 1, 1, 10, 10, 2, 1, 4, 2, 6, 2, 1, 10, 10, 10, 6, 2, 10, 1, 10, 6, 2, 1, 1, 2, 6, 2, 2, 2, 6, 6, 2, 2, 2, 1, 10, 6, 6, 10, 10, 6, 1, 6, 10, 10, 1, 2, 1, 1, 1, 1, 10, 10, 10, 1, 1, 2, 2, 2, 6, 2, 1, 1, 2, 2, 1, 2, 6, 10, 6, 10, 1, 2, 2, 6, 2, 5, 6, 6, 2, 6, 6, 5, 10, 10, 2, 1, 2, 6, 1, 10, 6, 9, 6, 6, 1, 6, 2, 10, 1, 6, 10, 2, 1, 1, 1, 10, 10, 6, 6, 0, 2, 1, 6, 2, 2, 1, 2, 1, 1, 10, 10, 1, 10, 5, 2, 6, 10, 10, 10, 1, 1, 2, 10, 1, 10, 10, 10, 2, 1, 6, 1, 2, 6, 2, 2, 6, 2, 6, 1, 1, 6, 1, 10, 6, 6, 1, 1, 10, 10, 1, 2, 6, 2, 1, 10, 10, 2, 2, 6, 2, 2, 6, 1, 10, 1, 1, 1, 1, 1, 10, 1, 1, 10, 6, 10, 2, 2, 1, 2, 6, 10, 6, 1, 10, 10, 6, 2, 1, 2, 6, 6, 1, 1, 6, 10, 2, 10, 6, 10, 10, 6, 10, 10, 2, 6, 6, 6, 9, 10, 10, 1, 6, 10, 2, 1, 1, 2, 1, 1, 6, 10, 4, 2, 10, 2, 0, 1, 6, 1, 2, 6, 10, 10, 6, 6, 1, 6, 2, 1, 6, 1, 1, 6, 10, 2, 10, 10, 6, 2, 10, 2, 10, 1, 6, 6, 2, 10, 10, 6, 10, 6, 10, 6, 6, 6, 5, 2, 7, 9, 1, 6, 2, 2, 10, 10, 2, 2, 10, 1, 2, 10, 6, 1, 6, 5, 1, 6, 10, 1, 2, 10, 2, 1, 2, 10, 10, 2, 1, 6, 2, 2, 2, 1, 1, 2, 9, 1, 6, 10, 10, 2, 1, 6, 1, 2, 1, 10, 6, 2, 6, 2, 1, 10, 1, 6, 10, 2, 10, 6, 2, 6, 6, 6, 10, 10, 10, 1, 6, 9, 6, 2, 2, 10, 1, 10, 2, 10, 1, 1, 6, 10, 10, 1, 6, 10, 6, 10, 6, 6, 1, 6, 6, 6, 6, 6, 2, 6, 1, 6, 10, 2, 1, 1, 6, 10, 1, 10, 10, 1, 1, 1, 6, 10, 1, 10, 10, 6, 1, 6, 2, 6, 10, 10, 2, 2, 2, 10, 1, 1, 1, 10, 6, 1, 2, 1, 2, 2, 10, 2, 5, 6, 10, 10, 6, 2, 1, 6, 6, 10, 2, 1, 2, 10, 2, 10, 10, 1, 2, 2, 2, 0, 2, 2, 6, 1, 6, 6, 10, 6, 1, 4, 4, 2, 1, 1, 1, 10, 10, 2, 10, 6, 1, 1, 1, 10, 6, 6, 10, 0, 10, 6, 1, 10, 1, 1, 2, 10, 6, 6, 2, 2, 1, 2, 10, 1, 1, 2, 1, 2, 6, 2, 1, 1, 2, 2, 1, 6, 1, 1, 1, 10, 10, 1, 1, 2, 1, 6, 6, 1, 10, 10, 10, 10, 2, 6, 1, 6, 10, 9, 1, 1, 10, 2, 10, 6, 6, 6, 10, 10, 6, 10, 1, 9, 6, 6, 6, 2, 1, 1, 2, 2, 10, 10, 6, 10, 1, 10, 10, 10, 2, 10, 1, 1, 1, 10, 1, 9, 1, 10, 1, 4, 10, 10, 1, 10, 6, 6, 10, 6, 1, 1, 10, 1, 1, 1, 6, 6, 2, 1, 10, 1, 10, 2, 2, 9, 10, 10, 10, 1, 6, 10, 6, 6, 1, 2, 1, 6, 6, 10, 6, 1, 1, 1, 2, 10, 6, 1, 6, 10, 1, 6, 10, 6, 2, 8, 2, 2, 1, 10, 1, 6, 6, 6, 2, 6, 10, 1, 6, 2, 6, 2, 2, 1, 10, 1, 2, 1, 10, 1, 6, 10, 2, 2, 6, 2, 1, 6, 10, 2, 5, 10, 2, 2, 6, 6, 6, 1, 6, 2, 1, 9, 6, 1, 1, 2, 2, 10, 1, 6, 1, 2, 2, 1, 10, 10, 2, 1, 1, 2, 1, 6, 10, 10, 10, 2, 1, 10, 2, 6, 10, 1, 10, 10, 10, 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10, 6, 10, 1, 10, 10, 1, 10, 1, 1, 2, 2, 2, 1, 5, 9, 2, 6, 6, 6, 10, 1, 6, 2, 6, 2, 2, 10, 1, 6, 2, 10, 1, 10, 2, 9, 10, 6, 6, 1, 6, 10, 10, 4, 2, 10, 6, 2, 6, 2, 2, 10, 2, 10, 1, 2, 10, 10, 10, 6, 2, 2, 2, 1, 10, 6, 0, 5, 6, 6, 10, 2, 2, 1, 6, 10, 2, 1, 1, 6, 1, 6, 6, 5, 9, 2, 2, 6, 2, 2, 6, 1, 2, 10, 6, 4, 2, 10, 6, 2, 6, 10, 6, 2, 1, 6, 1, 2, 2, 4, 6, 1, 2, 6, 2, 2, 10, 1, 1, 2, 1, 1, 6, 6, 10, 2, 10, 6, 1, 6, 10, 1, 2, 6, 10, 10, 2, 6, 1, 10, 2, 2, 10, 2, 10, 6, 1, 10, 10, 2, 6, 10, 2, 2, 2, 1, 2, 10, 2, 1, 2, 0, 1, 10, 10, 1, 10, 1, 4, 9, 10, 10, 5, 2, 1, 1, 6, 6, 6, 1, 6, 1, 10, 6, 6, 1, 10, 10, 2, 2, 6, 10, 10, 1, 1, 2, 10, 6, 10, 10, 1, 10, 6, 2, 1, 1, 1, 2, 6, 10, 6, 2, 6, 6, 1, 10, 10, 10, 10, 5, 10, 6, 6, 1, 10, 2, 6, 1, 10, 6, 1, 6, 6, 10, 2, 10, 2, 6, 6, 1, 1, 10, 10, 1, 1, 10, 6, 6, 6, 2, 6, 2, 10, 6, 10, 1, 10, 2, 6, 6, 10, 6, 10, 1, 10, 10, 1, 2, 6, 10, 6, 6, 6, 6, 1, 1, 10, 10, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 6, 1, 2, 6, 6, 6, 2, 2, 6, 1, 1, 6, 2, 2, 6, 2, 2, 1, 10, 1, 1, 10, 6, 6, 6, 6, 6, 6, 1, 10, 10, 6, 1, 2, 1, 10, 6, 6, 10, 6, 1, 1, 6, 2, 6, 1, 2, 6, 6, 6, 9, 10, 10, 2, 1, 1, 10, 6, 10, 10, 6, 1, 10, 2, 2, 6, 1, 6, 2, 1, 1, 2, 10, 6, 2, 6, 2, 6, 1, 1, 10, 2, 6, 2, 10, 10, 6, 2, 6, 10, 6, 4, 1, 6, 2, 2, 6, 1, 6, 10, 2, 2, 9, 6, 10, 10, 4, 6, 2, 6, 6, 10, 1, 1, 2, 1, 10, 2, 1, 6, 2, 6, 10, 6, 6, 6, 10, 1, 6, 2, 10, 10, 10, 10, 6, 10, 1, 1, 1, 1, 1, 1, 10, 9, 10, 5, 6, 10, 6, 2, 6, 1, 10, 2, 10, 2, 2, 2, 6, 1, 2, 2, 2, 10, 1, 10, 1, 6, 2, 2, 10, 1, 9, 10, 6, 10, 4, 10, 2, 6, 10, 6, 6, 2, 6, 10, 10, 1, 10, 1, 6, 1, 10, 1, 6, 6, 1, 5, 1, 2, 1, 2, 6, 6, 10, 6, 6, 10, 1, 6, 10, 1, 6, 6, 2, 10, 1, 2, 6, 6, 2, 1, 1, 10, 6, 6, 6, 0, 2, 2, 6, 2, 1, 10, 2, 6, 1, 1, 10, 1, 2, 6, 6, 2, 2, 10, 2, 6, 1, 1, 10, 6, 10, 1, 0, 10, 6, 6, 1, 2, 1, 6, 1, 6, 2, 10, 1, 2, 2, 2, 6, 10, 2, 1, 2, 6, 10, 10, 10, 10, 1, 1, 1, 2, 10, 10, 1, 1, 2, 6, 10, 1, 1, 2, 1, 6, 1, 6, 10, 10, 6, 1, 10, 10, 6, 1, 2, 6, 1, 2, 9, 10, 6, 1, 10, 2, 10, 6, 6, 1, 1, 6, 6, 1, 6, 6, 1, 10, 10, 6, 2, 1, 1, 6, 10, 1, 2, 10, 6, 6, 6, 6, 1, 2, 2, 2, 6, 6, 10, 2, 2, 1, 1, 6, 10, 1, 6, 2, 6, 1, 10, 2, 10, 2, 10, 1, 6, 10, 6, 10, 2, 10, 2, 2, 10, 6, 6, 6, 1, 10, 2, 1, 10, 6, 10, 10, 2, 6, 0, 9, 1, 1, 2, 2, 2, 9, 10, 2, 10, 6, 2, 2, 1, 5, 2, 2, 2, 10, 10, 2, 6, 6, 5, 1, 6, 2, 2, 1, 1, 10, 6, 1, 2, 1, 2, 2, 10, 2, 1, 1, 6, 1, 6, 2, 6, 6, 2, 1, 2, 2, 1, 10, 6, 10, 1, 10, 6, 1, 1, 1, 2, 1, 6, 2, 6, 10, 6, 1, 2, 2, 10, 2, 2, 1, 4, 1, 1, 2, 6, 1, 1, 2, 2, 6, 6, 6, 1, 2, 6, 2, 10, 2, 2, 10, 2, 2, 1, 6, 6, 4, 2, 2, 2, 2, 10, 10, 2, 2, 1, 6, 10, 2, 10, 6, 1, 1, 2, 10, 2, 10, 1, 6, 6, 10, 1, 1, 6, 2, 6, 6, 6, 2, 2, 9, 6, 6, 10, 6, 2, 9, 4, 1, 10, 2, 1, 1, 1, 1, 2, 1, 1, 10, 1, 2, 6, 10, 6, 6, 10, 10, 10, 1, 6, 2, 4, 2, 1, 2, 2, 2, 1, 10, 10, 6, 6, 6, 1, 1, 1, 6, 1, 5, 10, 6, 1, 2, 10, 1, 10, 6, 2, 6, 1, 1, 10, 10, 2, 1, 1, 2, 9, 10, 10, 1, 1, 6, 1, 2, 2, 10, 2, 6, 10, 6, 10, 2, 1, 10, 6, 10, 6, 6, 10, 1, 10, 6, 1, 1, 1, 6, 2, 2, 10, 10, 1, 6, 2, 1, 6, 10, 10, 1, 2, 1, 6, 2, 6, 2, 2, 2, 6, 2, 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1, 1, 10, 6, 10, 10, 10, 1, 2, 1, 6, 1, 1, 9, 2, 6, 6, 1, 6, 10, 10, 10, 2, 10, 6, 6, 2, 2, 1, 1, 6, 10, 10, 6, 2, 10, 6, 2, 10, 10, 1, 10, 2, 6, 10, 10, 2, 10, 1, 6, 2, 10, 2, 0, 10, 6, 2, 10, 2, 1, 2, 6, 6, 2, 2, 10, 6, 6, 1, 2, 1, 1, 10, 10, 10, 10, 6, 2, 10, 2, 6, 10, 10, 2, 2, 2, 1, 6, 1, 10, 5, 1, 6, 2, 6, 2, 2, 6, 6, 6, 2, 1, 1, 6, 9, 2, 2, 1, 10, 2, 10, 10, 6, 1, 6, 1, 2, 1, 10, 2, 2, 10, 6, 6, 2, 2, 2, 6, 6, 10, 10, 6, 6, 6, 2, 2, 2, 2, 2, 1, 10, 6, 6, 6, 6, 6, 6, 1, 10, 1, 10, 2, 4, 1, 2, 2, 10, 6, 2, 1, 9, 10, 2, 6, 10, 10, 10, 6, 1, 1, 5, 10, 4, 6, 2, 2, 1, 1, 9, 10, 10, 6, 2, 0, 2, 2, 2, 10, 2, 4, 10, 1, 6, 10, 10, 1, 10, 1, 2, 10, 1, 10, 1, 1, 1, 1, 1, 2, 1, 2, 10, 1, 1, 1, 10, 1, 10, 10, 5, 6, 1, 10, 1, 2, 1, 10, 1, 2, 10, 10, 0, 10, 6, 1, 6, 2, 1, 6, 6, 1, 10, 6, 6, 6, 1, 1, 1, 10, 1, 2, 1, 1, 6, 6, 1, 10, 5, 10, 2, 6, 6, 10, 2, 2, 2, 10, 10, 2, 2, 10, 2, 6, 6, 2, 6, 1, 6, 2, 1, 1, 1, 2, 10, 6, 1, 1, 10, 1, 6, 2, 2, 2, 10, 6, 2, 10, 10, 6, 1, 1, 10, 2, 4, 6, 9, 6, 2, 1, 9, 10, 1, 6, 10, 6, 1, 0, 2, 1, 6, 1, 10, 6, 2, 10, 6, 2, 1, 10, 6, 10, 6, 6, 10, 10, 2, 2, 10, 10, 6, 1, 10, 6, 6, 10, 6, 1, 10, 2, 2, 6, 1, 6, 2, 10, 2, 10, 6, 6, 2, 10, 6, 2, 10, 2, 1, 6, 10, 6, 10, 1, 10, 1, 1, 1, 2, 10, 6, 1, 6, 6, 2, 6, 10, 1, 1, 1, 2, 10, 10, 6, 1, 10, 2, 10, 1, 10, 6, 2, 1, 10, 6, 6, 6, 6, 2, 6, 10, 1, 2, 1, 10, 2, 10, 1, 6, 6, 1, 1, 1, 1, 10, 2, 2, 2, 1, 10, 2, 6, 10, 10, 2, 10, 1, 2, 10, 5, 10, 2, 2, 2, 6, 6, 1, 1, 10, 2, 2, 10, 2, 2, 2, 10, 1, 10, 2, 6, 6, 1, 6, 2, 6, 10, 10, 6, 1, 4, 10, 1, 2, 1, 2, 6, 6, 1, 6, 1, 6, 10, 10, 10, 2, 2, 9, 10, 10, 1, 6, 6, 2, 2, 10, 6, 9, 1, 6, 10, 6, 5, 1, 10, 1, 10, 9, 6, 2, 1, 6, 6, 10, 1, 1, 1, 6, 6, 6, 6, 1, 6, 10, 2, 9, 10, 10, 10, 2, 2, 6, 1, 1, 6, 2, 6, 1, 2, 2, 6, 1, 2, 1, 2, 9, 2, 6, 1, 10, 10, 2, 2, 2, 10, 10, 6, 1, 2, 10, 2, 10, 2, 1, 6, 1, 6, 10, 6, 6, 9, 10, 2, 2, 1, 6, 6, 1, 2, 10, 6, 10, 6, 2, 2, 2, 2, 10, 2, 1, 10, 6, 6, 10, 6, 10, 2, 10, 10, 1, 2, 2, 1, 2, 1, 6, 10, 10, 2, 2, 0, 6, 10, 1, 1, 2, 1, 2, 6, 2, 1, 6, 2, 6, 10, 2, 2, 10, 2, 10, 6, 10, 10, 10, 2, 1, 2, 6, 2, 10, 2, 10, 10, 2, 6, 2, 1, 6, 6, 6, 10, 6, 10, 6, 10, 6, 5, 1, 10, 1, 2, 9, 6, 10, 1, 10, 6, 2, 2, 2, 10, 2, 10, 2, 2, 10, 9, 1, 10, 6, 1, 5, 10, 10, 6, 10, 1, 1, 10, 1, 1, 1, 6, 10, 2, 10, 1, 10, 2, 1, 6, 2, 2, 1, 10, 2, 6, 10, 1, 2, 2, 10, 1, 5, 2, 1, 2, 2, 10, 2, 10, 6, 4, 6, 6, 6, 6, 9, 6, 1, 2, 10, 5, 6, 10, 6, 2, 1, 10, 10, 2, 6, 10, 1, 6, 2, 10, 6, 2, 5, 2, 1, 1, 6, 6, 2, 10, 2, 6, 1, 1, 1, 10, 6, 10, 1, 2, 1, 2, 10, 6, 10, 10, 6, 1, 1, 1, 2, 2, 10, 2, 2, 2, 10, 6, 1, 2, 2, 10, 10, 9, 9, 1, 6, 1, 6, 6, 10, 2, 10, 2, 6, 2, 6, 10, 6, 10, 10, 5, 10, 6, 5, 1, 2, 1, 6, 10, 2, 2, 6, 1, 1, 2, 10, 10, 2, 10, 6, 10, 2, 6, 6, 6, 6, 10, 6, 6, 10, 10, 5, 2, 6, 2, 2, 1, 2, 10, 2, 6, 6, 10, 10, 6, 1, 2, 6, 1, 6, 6, 6, 2, 6, 1, 1, 1, 2, 1, 5, 4, 2, 2, 10, 10, 10, 2, 6, 1, 1, 6, 10, 2, 2, 1, 1, 10, 6, 10, 1, 6, 6, 10, 10, 6, 2, 6, 10, 1, 10, 6, 6, 2, 2, 6, 6, 1, 6, 2, 2, 4, 2, 2, 6, 2, 6, 1, 6, 0, 6, 6, 10, 10, 2, 2, 6, 10, 6, 6, 1, 2, 1, 2, 1, 6, 10, 1, 1, 6, 2, 10, 6, 1, 10, 10, 1, 2, 6, 10, 2, 10, 2, 1, 6, 2, 2, 6, 10, 1, 10, 1, 6, 2, 6, 2, 2, 2, 1, 10, 1, 2, 1, 2, 5, 1, 2, 10, 2, 2, 10, 2, 10, 1, 2, 10, 1, 10, 10, 10, 2, 1, 1, 6, 6, 2, 2, 1, 5, 1, 1, 1, 10, 2, 10, 1, 1, 1, 2, 2, 1, 10, 1, 2, 2, 2, 6, 10, 1, 9, 2, 2, 6, 2, 1, 6, 1, 6, 2, 1, 2, 6, 4, 2, 2, 6, 2, 2, 2, 6, 1, 10, 1, 10, 10, 6, 1, 2, 2, 6, 10, 5, 1, 10, 6, 1, 6, 2, 2, 6, 10, 2, 2, 6, 2, 2, 6, 2, 4, 6, 1, 6, 1, 1, 1, 10, 1, 10, 2, 10, 1, 6, 6, 1, 2, 1, 10, 1, 6, 6, 6, 1, 1, 1, 6, 2, 10, 6, 10, 2, 6, 1, 2, 1, 2, 6, 6, 2, 1, 1, 1, 2, 10, 6, 1, 1, 1, 2, 2, 6, 10, 2, 1, 10, 1, 10, 2, 6, 10, 6, 1, 2, 9, 1, 1, 1, 6, 1, 1, 6, 1, 5, 1, 1, 2, 10, 6, 10, 2, 2, 10, 2, 10, 10, 10, 6, 6, 10, 10, 10, 6, 1, 6, 6, 6, 6, 5, 10, 1, 2, 1, 10, 2, 6, 10, 2, 6, 6, 10, 6, 6, 2, 6, 10, 6, 6, 2, 2, 1, 1, 10, 6, 10, 10, 1, 10, 10, 6, 6, 10, 1, 6, 6, 6, 2, 6, 2, 10, 6, 6, 2, 1, 2, 6, 1, 6, 1, 10, 6, 2, 1, 2, 2, 2, 6, 10, 2, 1, 2, 1, 10, 10, 4, 6, 1, 6, 10, 6, 10, 1, 4, 2, 6, 10, 6, 6, 6, 2, 6, 10, 6, 6, 6, 1, 1, 2, 1, 6, 1, 2, 6, 10, 1, 6, 6, 6, 6, 10, 10, 6, 1, 10, 6, 1, 6, 2, 2, 6, 10, 1, 10, 2, 1, 1, 6, 1, 5, 10, 9, 1, 10, 1, 2, 1, 10, 1, 6, 6, 10, 10, 2, 10, 4, 2, 10, 6, 10, 6, 10, 1, 1, 6, 1, 1, 9, 10, 4, 6, 2, 2, 10, 1, 6, 1, 6, 1, 2, 6, 6, 1, 10, 2, 1, 1, 1, 10, 10, 10, 10, 1, 1, 10, 2, 2, 10, 6, 6, 10, 2, 10, 0, 1, 1, 1, 6, 6, 2, 1, 1, 2, 6, 5, 2, 6, 2, 6, 10, 1, 6, 2, 1, 6, 2, 6, 10, 1, 2, 10, 10, 2, 2, 6, 6, 1, 2, 2, 1, 1, 6, 6, 1, 10, 2, 6, 1, 4, 2, 6, 2, 6, 1, 2, 1, 10, 10, 2, 6, 10, 2, 6, 1, 2, 1, 6, 2, 6, 2, 1, 6, 1, 10, 2, 1, 2, 6, 2, 1, 1, 2, 10, 10, 1, 10, 1, 6, 1, 1, 10, 10, 2, 2, 10, 6, 10, 6, 1, 2, 10, 2, 2, 1, 10, 6, 1, 1, 4, 1, 10, 10, 10, 1, 1, 10, 1, 2, 6, 2, 1, 1, 1, 10, 1, 10, 10, 10, 6, 10, 2, 1, 2, 1, 2, 1, 6, 10, 1, 6, 10, 0, 10, 6, 10, 6, 5, 2, 1, 6, 10, 2, 6, 1, 10, 2, 10, 6, 1, 2, 2, 6, 10, 1, 4, 1, 10, 2, 1, 6, 6, 1, 1, 10, 1, 6, 6, 6, 9, 2, 10, 6, 1, 10, 1, 10, 2, 10, 10, 1, 10, 6, 6, 2, 6, 10, 1, 2, 2, 1, 2, 6, 10, 6, 2, 10, 2, 2, 2, 10, 1, 6, 2, 6, 6, 10, 2, 2, 2, 1, 10, 1, 1, 10, 10, 1, 6, 1, 1, 2, 6, 6, 1, 2, 6, 1, 2, 10, 6, 6, 2, 10, 1, 6, 6, 6, 2, 6, 1, 2, 10, 1, 6, 1, 2, 1, 2, 10, 10, 10, 1, 1, 10, 10, 6, 10, 2, 2, 2, 1, 6, 2, 1, 6, 10, 2, 2, 2, 10, 2, 2, 2, 6, 1, 1, 1, 6, 1, 1, 2, 2, 6, 1, 10, 2, 2, 6, 6, 10, 1, 10, 0, 6, 2, 6, 1, 2, 1, 10, 6, 2, 10, 10, 1, 10, 6, 1, 9, 2, 6, 2, 2, 2, 2, 10, 0, 2, 1, 10, 2, 1, 10, 10, 6, 2, 1, 6, 1, 1, 10, 1, 6, 10, 1, 10, 6, 6, 10, 2, 6, 1, 2, 2, 1, 10, 2, 1, 2, 1, 6, 6, 2, 6, 2, 1, 2, 6, 10, 1, 6, 6, 6, 10, 10, 1, 1, 10, 6, 1, 1, 10, 6, 2, 6, 6, 2, 6, 10, 6, 2, 2, 1, 2, 1, 2, 1, 10, 6, 60, 1, 10, 10, 6, 10, 1, 2, 6, 6, 1, 1, 2, 6, 9, 2, 1, 10, 10, 6, 6, 10, 2, 10, 6, 10, 1, 6, 10, 10, 10, 6, 6, 10, 6, 2, 2, 6, 2, 6, 2, 1, 6, 2, 10, 10, 6, 6, 6, 2, 6, 1, 1, 2, 6, 1, 10, 6, 10, 2, 2, 2, 2, 6, 1, 1, 6, 6, 6, 10, 1, 1, 1, 10, 6, 6, 1, 1, 10, 10, 2, 1, 1, 6, 10, 6, 1, 7, 2, 1, 1, 10, 1, 0, 2, 9, 2, 10, 2, 6, 2, 2, 1, 5, 1, 2, 2, 2, 6, 1, 6, 10, 10, 10, 6, 6, 6, 2, 6, 1, 10, 6, 2, 1, 6, 6, 2, 1, 1, 6, 1, 1, 6, 2, 6, 1, 1, 1, 2, 6, 1, 10, 1, 2, 2, 1, 10, 1, 10, 2, 2, 10, 10, 2, 10, 10, 6, 10, 1, 6, 2, 1, 10, 10, 6, 9, 6, 6, 1, 6, 6, 6, 10, 2, 10, 2, 6, 1, 6, 2, 10, 2, 2, 10, 1, 1, 2, 6, 10, 1, 2, 2, 10, 6, 10, 1, 2, 1, 6, 6, 10, 2, 6, 1, 10, 6, 1, 2, 1, 10, 10, 6, 1, 1, 10, 6, 1, 2, 6, 2, 6, 1, 1, 10, 10, 1, 10, 1, 1, 10, 2, 10, 6, 10, 10, 6, 6, 2, 10, 1, 10, 2, 2, 6, 6, 6, 10, 1, 2, 2, 6, 2, 6, 1, 1, 10, 4, 10, 6, 10, 2, 1, 1, 1, 4, 10, 2, 6, 1, 10, 1, 1, 10, 10, 0, 1, 1, 6, 10, 1, 10, 6, 2, 10, 1, 10, 2, 1, 6, 10, 2, 1, 6, 1, 1, 2, 6, 2, 2, 6, 1, 1, 2, 1, 2, 1, 2, 10, 2, 10, 1, 10, 1, 6, 1, 10, 2, 6, 6, 10, 10, 1, 1, 1, 6, 10, 6, 10, 10, 1, 6, 1, 10, 10, 6, 1, 1, 2, 6, 1, 5, 10, 5, 6, 6, 1, 2, 2, 1, 2, 10, 10, 10, 6, 10, 6, 1, 2, 2, 10, 10, 6, 6, 1, 6, 2, 6, 2, 10, 10, 1, 6, 1, 1, 2, 6, 6, 2, 10, 6, 10, 2, 6, 1, 10, 10, 6, 2, 6, 1, 6, 1, 6, 2, 2, 6, 2, 2, 2, 6, 2, 2, 2, 1, 1, 10, 2, 6, 10, 50, 2, 1, 0, 2, 6, 1, 2, 10, 2, 1, 1, 2, 1, 10, 6, 2, 1, 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1, 6, 1, 2, 1, 6, 10, 1, 6, 10, 2, 1, 1, 10, 6, 10, 10, 10, 2, 6, 10, 6, 1, 6, 10, 10, 1, 6, 1, 6, 1, 10, 4, 6, 6, 1, 2, 10, 2, 6, 6, 2, 2, 10, 1, 2, 2, 10, 10, 2, 6, 1, 2, 9, 1, 1, 2, 2, 6, 9, 1, 4, 4, 5, 1, 6, 1, 2, 1, 2, 2, 10, 6, 2, 6, 10, 2, 1, 10, 1, 1, 7, 10, 10, 2, 40, 1, 1, 6, 1, 1, 2, 10, 1, 6, 6, 1, 4, 6, 2, 6, 6, 2, 5, 6, 6, 2, 1, 1, 1, 10, 1, 6, 1, 10, 6, 6, 2, 1, 6, 2, 2, 6, 6, 1, 1, 1, 1, 6, 6, 10, 10, 10, 2, 6, 0, 2, 6, 6, 2, 1, 6, 1, 1, 6, 10, 2, 1, 2, 6, 10, 6, 1, 6, 2, 6, 2, 2, 6, 10, 1, 1, 6, 6, 1, 10, 6, 6, 6, 10, 2, 10, 6, 10, 6, 1, 6, 10, 1, 2, 10, 10, 2, 6, 2, 1, 10, 6, 1, 1, 2, 10, 6, 6, 1, 10, 6, 2, 10, 6, 10, 10, 4, 1, 10, 1, 1, 2, 1, 6, 10, 2, 6, 2, 2, 2, 6, 6, 1, 6, 10, 1, 10, 2, 6, 1, 10, 1, 1, 1, 2, 10, 2, 2, 1, 1, 2, 10, 10, 10, 1, 6, 1, 10, 2, 2, 6, 6, 1, 6, 2, 0, 2, 6, 1, 1, 2, 10, 2, 2, 6, 10, 2, 1, 10, 1, 10, 6, 1, 2, 2, 10, 1, 6, 2, 2, 10, 6, 10, 6, 6, 2, 1, 10, 10, 10, 10, 6, 1, 10, 1, 6, 10, 10, 4, 1, 6, 6, 6, 10, 1, 2, 10, 6, 6, 6, 6, 10, 1, 4, 1, 6, 10, 10, 1, 10, 6, 1, 10, 6, 1, 6, 10, 6, 1, 1, 6, 2, 1, 2, 10, 1, 10, 6, 6, 6, 6, 2, 1, 6, 2, 6, 2, 6, 10, 1, 1, 1, 9, 6, 2, 10, 2, 6, 10, 10, 1, 1, 10, 10, 10, 10, 1, 2, 6, 2, 2, 1, 2, 2, 1, 6, 9, 10, 10, 6, 6, 4, 2, 5, 6, 10, 1, 6, 1, 1, 6, 6, 1, 1, 10, 10, 9, 2, 2, 10, 2, 2, 10, 6, 2, 10, 1, 2, 6, 4, 10, 6, 2, 2, 2, 10, 2, 10, 6, 6, 10, 2, 1, 1, 10, 2, 2, 10, 6, 2, 2, 10, 1, 2, 6, 2, 1, 1, 5, 1, 10, 6, 6, 10, 1, 6, 2, 2, 5, 10, 1, 6, 10, 6, 1, 2, 1, 6, 2, 10, 6, 1, 2, 2, 6, 1, 1, 2, 2, 10, 1, 2, 10, 6, 2, 1, 2, 6, 1, 10, 2, 10, 10, 2, 9, 2, 10, 6, 1, 6, 1, 10, 10, 1, 9, 1, 6, 2, 10, 10, 6, 10, 2, 1, 6, 6, 10, 1, 10, 6, 6, 1, 2, 2, 10, 1, 10, 1, 1, 2, 1, 2, 10, 2, 2, 10, 10, 1, 9, 2, 6, 2, 1, 10, 9, 2, 10, 6, 10, 2, 6, 2, 2, 2, 2, 6, 1, 1, 6, 2, 1, 6, 1, 1, 10, 1, 6, 6, 10, 1, 10, 6, 2, 2, 6, 1, 1, 6, 6, 1, 6, 1, 6, 6, 2, 10, 1, 6, 2, 2, 6, 6, 10, 10, 10, 2, 10, 6, 1, 6, 1, 1, 0, 1, 6, 2, 1, 10, 2, 10, 6, 6, 6, 0, 1, 1, 1, 1, 1, 4, 6, 1, 2, 2, 6, 6, 2, 6, 2, 1, 1, 10, 6, 1, 1, 6, 1, 2, 10, 10, 10, 6, 1, 2, 10, 10, 1, 6, 10, 10, 1, 1, 10, 6, 10, 6, 10, 2, 6, 2, 1, 10, 2, 2, 1, 2, 2, 2, 1, 10, 1, 1, 6, 1, 10, 6, 10, 6, 6, 2, 2, 6, 2, 2, 2, 1, 1, 1, 1, 6, 10, 1, 10, 2, 2, 6, 10, 1, 1, 10, 1, 1, 0, 10, 10, 1, 9, 0, 10, 2, 2, 6, 2, 1, 2, 10, 2, 1, 10, 1, 1, 6, 2, 10, 10, 6, 1, 1, 1, 6, 10, 2, 1, 1, 1, 2, 1, 10, 2, 6, 6, 10, 10, 10, 1, 6, 6, 6, 6, 6, 6, 2, 1, 2, 2, 6, 10, 1, 10, 6, 10, 10, 0, 1, 2, 6, 6, 10, 1, 1, 1, 10, 1, 10, 1, 6, 10, 10, 6, 2, 10, 10, 1, 1, 1, 6, 2, 6, 6, 10, 1, 9, 1, 10, 10, 1, 6, 1, 10, 2, 1, 2, 9, 1, 6, 10, 6, 10, 1, 10, 6, 2, 6, 2, 10, 10, 6, 1, 6, 1, 6, 10, 1, 6, 6, 10, 2, 1, 1, 1, 10, 10, 2, 1, 2, 10, 9, 1, 10, 1, 6, 6, 6, 6, 1, 2, 1, 1, 1, 1, 10, 6, 1, 10, 2, 1, 1, 1, 10, 1, 2, 10, 2, 2, 10, 1, 6, 10, 6, 2, 2, 1, 1, 2, 6, 6, 2, 6, 10, 2, 1, 6, 6, 10, 2, 10, 1, 6, 4, 6, 10, 10, 1, 2, 10, 10, 1, 10, 2, 1, 2, 6, 1, 2, 2, 2, 2, 6, 6, 6, 1, 4, 2, 10, 4, 2, 6, 6, 1, 10, 10, 0, 1, 10, 9, 10, 1, 6, 1, 10, 10, 10, 10, 6, 6, 2, 6, 1, 2, 1, 1, 1, 10, 6, 1, 6, 10, 10, 1, 6, 2, 1, 2, 6, 1, 1, 10, 9, 10, 1, 2, 2, 10, 2, 6, 4, 10, 1, 1, 6, 6, 6, 6, 6, 1, 9, 1, 2, 1, 10, 1, 1, 2, 2, 6, 2, 10, 1, 1, 1, 10, 6, 6, 2, 10, 10, 10, 6, 10, 2, 6, 10, 2, 9, 1, 2, 4, 1, 6, 10, 1, 1, 2, 6, 2, 10, 6, 6, 6, 1, 1, 2, 1, 10, 2, 1, 10, 1, 10, 10, 10, 10, 2, 1, 6, 2, 1, 2, 10, 10, 6, 2, 6, 10, 2, 1, 1, 6, 10, 10, 6, 2, 6, 1, 10, 10, 2, 10, 1, 6, 1, 6, 1, 1, 6, 2, 6, 6, 6, 6, 6, 1, 1, 6, 2, 6, 2, 1, 10, 1, 9, 2, 5, 2, 6, 2, 1, 2, 10, 1, 6, 1, 6, 1, 2, 1, 2, 6, 10, 2, 1, 2, 6, 10, 10, 6, 2, 6, 2, 6, 2, 1, 2, 10, 10, 10, 10, 6, 1, 6, 2, 1, 10, 1, 10, 10, 6, 2, 2, 2, 6, 1, 6, 6, 6, 2, 10, 2, 6, 1, 2, 6, 2, 1, 1, 6, 6, 6, 1, 2, 2, 10, 6, 10, 1, 2, 1, 1, 2, 1, 6, 10, 10, 1, 2, 2, 2, 10, 2, 6, 1, 2, 1, 6, 6, 6, 1, 10, 1, 2, 6, 10, 6, 10, 2, 1, 2, 6, 10, 6, 1, 2, 2, 6, 10, 1, 6, 6, 6, 10, 2, 10, 9, 6, 2, 6, 6, 10, 2, 6, 1, 2, 1, 2, 1, 2, 6, 1, 1, 2, 2, 1, 10, 1, 6, 1, 2, 10, 6, 2, 2, 1, 2, 6, 1, 6, 10, 1, 10, 1, 10, 2, 2, 1, 10, 2, 1, 6, 1, 6, 2, 2, 10, 1, 10, 10, 10, 6, 1, 10, 1, 10, 9, 10, 6, 1, 9, 6, 10, 2, 2, 6, 2, 2, 2, 1, 6, 2, 2, 2, 1, 2, 10, 10, 10, 0, 10, 1, 6, 6, 2, 5, 1, 1, 1, 1, 1, 1, 2, 1, 10, 6, 10, 2, 2, 6, 2, 10, 1, 1, 10, 6, 6, 1, 1, 1, 6, 1, 6, 2, 1, 1, 1, 2, 10, 10, 1, 6, 6, 2, 6, 10, 2, 10, 1, 1, 6, 1, 6, 10, 10, 2, 1, 2, 2, 10, 2, 10, 1, 2, 2, 1, 1, 1, 2, 10, 2, 10, 10, 2, 2, 6, 6, 10, 1, 2, 6, 6, 10, 1, 2, 2, 2, 2, 9, 2, 1, 2, 10, 10, 2, 10, 2, 6, 6, 10, 0, 6, 6, 6, 10, 10, 10, 1, 2, 6, 6, 6, 6, 6, 4, 6, 2, 6, 2, 10, 1, 6, 10, 1, 6, 1, 6, 2, 6, 1, 1, 9, 2, 1, 6, 1, 1, 1, 10, 6, 2, 10, 6, 6, 6, 6, 2, 6, 10, 2, 6, 10, 1, 1, 2, 6, 2, 1, 10, 1, 1, 1, 6, 6, 6, 6, 10, 6, 2, 6, 2, 9, 10, 1, 2, 2, 2, 1, 1, 10, 6, 10, 1, 1, 2, 6, 10, 9, 10, 10, 1, 6, 10, 2, 2, 6, 2, 6, 6, 6, 2, 2, 2, 10, 6, 10, 2, 9, 10, 2, 2, 10, 2, 1, 1, 1, 6, 2, 10, 10, 1, 1, 2, 2, 1, 2, 2, 1, 6, 2, 2, 6, 2, 1, 2, 6, 1, 10, 2, 1, 2, 1, 6, 2, 1, 1, 6, 1, 1, 1, 2, 10, 2, 2, 10, 2, 6, 1, 2, 2, 10, 6, 2, 2, 2, 10, 1, 6, 6, 2, 2, 10, 2, 2, 10, 2, 2, 6, 2, 6, 2, 2, 1, 1, 2, 6, 6, 2, 6, 9, 1, 6, 1, 6, 6, 6, 0, 1, 10, 6, 1, 6, 2, 2, 1, 4, 2, 2, 9, 6, 1, 10, 1, 1, 6, 6, 2, 10, 2, 6, 10, 1, 10, 2, 1, 1, 10, 6, 2, 10, 2, 6, 1, 0, 2, 1, 1, 2, 1, 10, 1, 10, 10, 1, 6, 2, 1, 10, 2, 6, 6, 2, 1, 6, 10, 6, 6, 10, 10, 6, 9, 10, 6, 6, 6, 2, 1, 10, 1, 6, 10, 10, 6, 1, 6, 2, 10, 10, 2, 2, 2, 2, 10, 10, 1, 2, 6, 6, 2, 10, 6, 2, 6, 6, 2, 6, 1, 10, 6, 2, 10, 1, 1, 10, 1, 6, 2, 1, 1, 2, 6, 6, 10, 1, 1, 2, 1, 2, 1, 10, 2, 6, 10, 10, 1, 1, 2, 6, 10, 10, 6, 2, 10, 1, 6, 1, 1, 6, 1, 6, 10, 6, 2, 10, 2, 6, 2, 10, 6, 10, 10, 9, 6, 6, 1, 2, 6, 10, 1, 6, 10, 2, 1, 10, 10, 2, 10, 1, 1, 2, 10, 1, 1, 6, 2, 10, 2, 1, 6, 1, 10, 6, 10, 10, 10, 6, 10, 2, 2, 2, 1, 6, 1, 1, 6, 2, 6, 2, 1, 10, 6, 10, 1, 2, 10, 6, 1, 1, 2, 1, 2, 2, 10, 6, 10, 10, 2, 6, 2, 2, 2, 10, 2, 6, 1, 2, 10, 10, 10, 1, 10, 10, 2, 1, 2, 1, 1, 10, 10, 1, 6, 1, 1, 2, 2, 6, 6, 2, 10, 10, 6, 9, 1, 2, 6, 10, 6, 6, 6, 2, 6, 6, 1, 10, 10, 2, 10, 10, 1, 1, 1, 2, 6, 2, 10, 10, 6, 2, 1, 1, 2, 2, 2, 6, 2, 2, 6, 1, 1, 10, 6, 6, 6, 1, 6, 6, 5, 2, 6, 2, 9, 2, 10, 6, 1, 6, 10, 2, 1, 1, 10, 10, 2, 10, 2, 1, 6, 10, 10, 10, 10, 1, 6, 1, 10, 10, 6, 6, 1, 6, 2, 10, 2, 1, 10, 1, 6, 1, 2, 2, 2, 2, 10, 10, 2, 10, 1, 10, 1, 10, 1, 6, 10, 1, 1, 6, 10, 10, 6, 1, 1, 1, 1, 1, 2, 2, 6, 10, 1, 1, 10, 6, 2, 6, 1, 2, 10, 10, 1, 10, 10, 10, 1, 6, 6, 6, 1, 6, 6, 1, 10, 6, 6, 2, 1, 1, 10, 10, 6, 2, 10, 10, 6, 10, 1, 2, 1, 1, 2, 1, 2, 1, 10, 10, 0, 2, 1, 10, 2, 2, 6, 1, 10, 1, 1, 1, 6, 2, 6, 10, 6, 10, 1, 6, 1, 10, 1, 10, 0, 1, 2, 1, 10, 6, 6, 6, 10, 10, 10, 1, 10, 1, 2, 10, 10, 1, 0, 2, 1, 6, 10, 2, 2, 6, 10, 1, 1, 10, 10, 2, 6, 6, 1, 6, 6, 2, 6, 2, 10, 2, 1, 2, 1, 6, 1, 1, 6, 2, 2, 10, 2, 4, 2, 6, 2, 10, 2, 1, 10, 6, 1, 6, 2, 1, 10, 10, 6, 10, 10, 5, 2, 2, 2, 1, 6, 1, 2, 6, 6, 10, 2, 2, 6, 6, 1, 6, 6, 1, 6, 2, 6, 2, 1, 10, 1, 10, 2, 10, 2, 2, 6, 1, 1, 1, 6, 2, 10, 6, 6, 6, 10, 4, 1, 0, 6, 6, 2, 10, 2, 1, 10, 10, 6, 2, 1, 10, 6, 1, 1, 1, 1, 1, 9, 1, 10, 6, 2, 2, 10, 1, 10, 2, 1, 1, 6, 1, 2, 6, 2, 6, 10, 1, 10, 1, 2, 6, 10, 2, 1, 2, 10, 2, 6, 2, 6, 2, 6, 10, 6, 2, 1, 2, 6, 1, 6, 1, 6, 6, 1, 1, 1, 6, 6, 10, 2, 10, 10, 2, 2, 4, 6, 1, 1, 1, 6, 2, 1, 2, 6, 1, 2, 2, 10, 2, 10, 10, 2, 1, 0, 10, 1, 2, 2, 6, 6, 10, 2, 1, 1, 6, 6, 10, 2, 10, 1, 2, 6, 1, 9, 6, 2, 6, 6, 1, 1, 10, 6, 2, 2, 10, 6, 6, 6, 2, 6, 10, 6, 2, 10, 0, 1, 2, 1, 1, 10, 10, 2, 2, 2, 6, 10, 2, 1, 10, 10, 2, 10, 10, 2, 6, 2, 6, 10, 2, 6, 10, 2, 1, 10, 1, 6, 2, 1, 6, 6, 2, 2, 1, 1, 1, 4, 10, 9, 6, 6, 2, 10, 10, 6, 10, 2, 10, 10, 6, 2, 10, 2, 1, 1, 1, 1, 2, 10, 10, 10, 2, 10, 10, 2, 1, 6, 2, 6, 2, 10, 6, 1, 10, 10, 10, 1, 10, 2, 6, 1, 2, 1, 10, 2, 6, 10, 6, 6, 6, 1, 4, 6, 2, 6, 2, 1, 1, 6, 6, 10, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 6, 2, 10, 2, 9, 2, 1, 0, 6, 10, 1, 1, 2, 1, 6, 6, 60, 1, 1, 10, 10, 1, 2, 10, 1, 1, 10, 1, 1, 1, 10, 1, 6, 10, 6, 1, 1, 10, 10, 6, 1, 10, 6, 1, 10, 1, 6, 6, 2, 2, 1, 10, 1, 6, 6, 2, 10, 1, 1, 1, 1, 10, 6, 1, 6, 10, 2, 2, 6, 1, 1, 2, 1, 2, 6, 10, 2, 0, 6, 1, 2, 1, 10, 2, 2, 10, 1, 6, 1, 10, 6, 10, 6, 2, 10, 6, 6, 2, 1, 10, 10, 1, 6, 10, 2, 10, 1, 2, 6, 2, 6, 6, 1, 2, 0, 1, 10, 1, 0, 1, 6, 10, 2, 2, 10, 10, 1, 2, 1, 2, 1, 2, 2, 1, 1, 10, 2, 1, 6, 2, 2, 10, 10, 1, 9, 2, 2, 1, 10, 6, 10, 6, 10, 6, 4, 10, 2, 10, 1, 9, 1, 10, 10, 6, 6, 6, 2, 6, 10, 6, 10, 2, 10, 10, 6, 2, 10, 10, 1, 1, 9, 10, 2, 0, 1, 1, 2, 2, 10, 2, 10, 1, 2, 1, 10, 10, 1, 1, 2, 1, 6, 2, 6, 10, 10, 4, 6, 10, 10, 10, 0, 2, 1, 6, 10, 10, 0, 4, 1, 1, 10, 10, 2, 6, 1, 6, 2, 2, 4, 10, 10, 2, 6, 2, 1, 10, 2, 2, 1, 1, 10, 5, 1, 6, 1, 6, 6, 1, 6, 2, 2, 6, 1, 10, 1, 1, 2, 0, 10, 2, 10, 10, 10, 6, 10, 10, 1, 6, 2, 1, 10, 2, 6, 2, 6, 6, 1, 2, 1, 6, 10, 10, 2, 10, 10, 2, 10, 10, 10, 2, 2, 1, 2, 4, 10, 6, 10, 2, 2, 1, 6, 1, 6, 10, 1, 6, 2, 1, 2, 6, 10, 10, 6, 1, 10, 4, 1, 1, 2, 6, 1, 6, 6, 10, 10, 1, 6, 2, 10, 1, 10, 2, 2, 2, 1, 1, 10, 2, 6, 2, 6, 1, 2, 2, 4, 2, 6, 2, 1, 2, 2, 6, 10, 1, 2, 10, 1, 1, 6, 2, 2, 1, 1, 1, 2, 10, 6, 2, 10, 6, 10, 10, 10, 6, 60, 1, 0, 2, 6, 2, 6, 10, 6, 6, 1, 10, 6, 2, 2, 6, 1, 6, 2, 2, 6, 1, 6, 6, 1, 2, 1, 1, 6, 2, 2, 6, 2, 2, 10, 6, 10, 6, 6, 10, 2, 1, 1, 1, 10, 6, 2, 2, 0, 9, 6, 6, 2, 2, 2, 6, 2, 2, 6, 1, 6, 2, 2, 1, 2, 2, 10, 2, 6, 6, 10, 1, 10, 10, 1, 2, 6, 2, 2, 2, 1, 2, 6, 6, 1, 2, 10, 2, 2, 2, 6, 2, 1, 2, 6, 1, 6, 9, 1, 1, 2, 10, 1, 1, 6, 10, 10, 10, 6, 6, 2, 2, 1, 4, 1, 1, 6, 6, 1, 6, 1, 1, 2, 2, 6, 1, 6, 1, 6, 10, 6, 2, 6, 2, 10, 2, 2, 10, 6, 6, 10, 6, 1, 2, 10, 10, 2, 2, 2, 1, 10, 6, 1, 2, 6, 6, 6, 10, 1, 2, 2, 4, 6, 2, 10, 6, 10, 2, 4, 6, 2, 6, 2, 2, 10, 10, 6, 5, 1, 6, 1, 1, 10, 6, 1, 2, 2, 5, 10, 2, 1, 2, 10, 2, 1, 1, 2, 2, 2, 2, 2, 2, 6, 1, 6, 6, 1, 1, 2, 6, 1, 2, 2, 10, 10, 9, 10, 2, 1, 6, 6, 6, 10, 1, 1, 10, 10, 1, 2, 1, 6, 6, 2, 10, 2, 10, 6, 10, 2, 1, 2, 6, 10, 6, 1, 1, 6, 10, 6, 1, 1, 2, 1, 2, 6, 6, 9, 2, 1, 6, 10, 2, 1, 6, 1, 6, 2, 2, 5, 10, 2, 6, 6, 6, 6, 6, 2, 1, 1, 2, 1, 9, 1, 6, 1, 10, 6, 1, 6, 6, 10, 1, 6, 1, 1, 6, 1, 6, 6, 10, 9, 2, 6, 2, 2, 2, 4, 6, 0, 1, 10, 10, 6, 1, 1, 1, 1, 2, 6, 10, 10, 1, 1, 2, 6, 10, 2, 6, 6, 5, 1, 10, 2, 6, 2, 10, 6, 0, 6, 1, 2, 2, 6, 1, 10, 10, 6, 2, 2, 2, 2, 10, 6, 1, 10, 1, 10, 2, 2, 2, 10, 1, 6, 2, 9, 10, 10, 10, 1, 6, 6, 6, 10, 10, 10, 10, 6, 10, 10, 6, 1, 2, 6, 10, 6, 1, 1, 10, 10, 10, 6, 10, 2, 2, 10, 6, 6, 10, 2, 6, 2, 10, 1, 6, 1, 6, 10, 10, 1, 6, 1, 1, 10, 10, 10, 1, 6, 2, 6, 6, 1, 6, 10, 10, 1, 6, 2, 1, 10, 6, 6, 2, 2, 1, 1, 2, 1, 1, 2, 1, 10, 1, 1, 10, 10, 10, 2, 6, 1, 1, 10, 2, 6, 1, 10, 1, 6, 10, 1, 10, 10, 1, 10, 6, 2, 2, 2, 10, 10, 2, 1, 10, 10, 10, 1, 10, 10, 6, 2, 6, 2, 2, 10, 6, 6, 2, 1, 6, 2, 10, 0, 6, 2, 10, 1, 10, 6, 2, 1, 6, 1, 2, 2, 2, 2, 2, 6, 2, 2, 2, 6, 2, 10, 10, 1, 1, 6, 10, 6, 6, 10, 2, 6, 2, 10, 6, 5, 1, 10, 6, 6, 6, 2, 6, 1, 6, 0, 2, 6, 10, 1, 1, 10, 1, 4, 6, 2, 2, 1, 10, 2, 10, 2, 1, 1, 10, 10, 6, 1, 6, 2, 6, 2, 10, 6, 10, 2, 2, 10, 1, 2, 2, 2, 2, 6, 2, 10, 6, 2, 2, 1, 4, 10, 6, 6, 6, 2, 6, 2, 9, 2, 6, 1, 1, 1, 2, 6, 1, 10, 6, 6, 10, 10, 6, 6, 2, 10, 1, 6, 5, 1, 2, 6, 2, 10, 6, 1, 2, 2, 10, 1, 10, 6, 0, 2, 10, 10, 10, 2, 10, 6, 1, 2, 10, 6, 10, 9, 10, 6, 6, 2, 2, 10, 1, 2, 10, 1, 6, 10, 6, 1, 2, 6, 10, 2, 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6, 6, 2, 6, 4, 10, 9, 2, 1, 2, 1, 2, 6, 10, 10, 10, 2, 2, 1, 1, 6, 10, 10, 1, 2, 10, 6, 2, 2, 10, 10, 6, 1, 6, 1, 10, 10, 10, 6, 2, 2, 10, 1, 6, 10, 2, 2, 10, 1, 10, 10, 1, 10, 1, 6, 5, 10, 2, 10, 1, 2, 6, 10, 1, 10, 6, 2, 10, 1, 2, 6, 9, 1, 2, 6, 1, 1, 6, 1, 6, 6, 1, 2, 1, 6, 6, 2, 10, 6, 10, 1, 6, 1, 2, 6, 1, 10, 10, 10, 6, 1, 6, 1, 6, 1, 6, 10, 10, 10, 2, 1, 1, 2, 1, 6, 2, 2, 10, 6, 2, 10, 4, 10, 10, 1, 1, 6, 2, 2, 2, 10, 1, 10, 10, 6, 1, 6, 1, 2, 10, 2, 1, 1, 2, 6, 10, 10, 10, 10, 1, 2, 10, 1, 6, 1, 6, 2, 6, 2, 10, 6, 10, 2, 2, 10, 2, 0, 2, 2, 6, 10, 10, 1, 6, 6, 1, 6, 2, 2, 6, 6, 2, 2, 6, 2, 10, 4, 10, 6, 6, 2, 10, 1, 1, 1, 6, 1, 10, 1, 6, 2, 2, 1, 1, 6, 6, 10, 6, 2, 10, 2, 2, 10, 1, 9, 10, 2, 1, 1, 6, 2, 10, 6, 6, 10, 6, 2, 10, 6, 6, 1, 6, 6, 1, 10, 2, 10, 2, 6, 1, 6, 1, 1, 2, 6, 6, 6, 10, 10, 2, 6, 6, 2, 1, 6, 1, 2, 6, 2, 9, 6, 6, 6, 2, 1, 0, 10, 6, 10, 2, 6, 6, 1, 2, 10, 6, 6, 6, 10, 1, 10, 10, 1, 10, 1, 2, 6, 10, 10, 10, 1, 9, 1, 10, 1, 2, 6, 1, 6, 1, 6, 2, 9, 2, 10, 9, 10, 2, 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6, 6, 10, 1, 6, 6, 2, 2, 10, 10, 2, 1, 10, 2, 2, 4, 6, 10, 6, 6, 10, 1, 2, 1, 1, 6, 6, 1, 2, 10, 6, 1, 2, 6, 1, 1, 6, 6, 2, 10, 2, 10, 2, 6, 2, 10, 10, 6, 2, 6, 2, 6, 1, 6, 2, 10, 1, 6, 1, 6, 2, 6, 6, 10, 6, 10, 6, 2, 1, 2, 1, 10, 2, 2, 10, 0, 0, 2, 7, 10, 2, 10, 2, 6, 6, 10, 2, 1, 1, 6, 10, 10, 6, 0, 5, 5, 1, 10, 6, 1, 10, 1, 6, 10, 10, 2, 2, 2, 10, 6, 6, 1, 1, 2, 6, 10, 2, 10, 2, 10, 2, 10, 6, 6, 2, 6, 1, 6, 6, 1, 10, 1, 2, 2, 1, 10, 2, 1, 6, 1, 1, 1, 1, 6, 10, 1, 10, 10, 6, 6, 10, 6, 1, 1, 10, 10, 10, 6, 1, 1, 10, 10, 6, 1, 10, 5, 1, 2, 6, 6, 1, 1, 6, 6, 6, 4, 2, 2, 2, 1, 2, 1, 6, 1, 6, 10, 1, 10, 1, 10, 2, 2, 6, 1, 4, 1, 10, 6, 10, 2, 1, 6, 2, 10, 10, 0, 10, 6, 10, 2, 10, 1, 6, 6, 10, 6, 2, 1, 6, 10, 1, 1, 10, 1, 6, 6, 6, 6, 6, 1, 2, 6, 6, 10, 10, 2, 6, 2, 2, 1, 2, 10, 2, 10, 2, 6, 1, 2, 1, 10, 1, 6, 1, 2, 10, 2, 2, 1, 2, 2, 10, 10, 10, 10, 1, 10, 1, 2, 6, 10, 1, 6, 1, 10, 10, 1, 4, 10, 10, 2, 2, 1, 2, 1, 10, 1, 6, 6, 2, 10, 10, 1, 2, 10, 6, 1, 10, 2, 10, 6, 10, 10, 2, 10, 1, 2, 2, 2, 1, 2, 6, 10, 6, 6, 2, 2, 6, 6, 1, 1, 6, 2, 1, 1, 2, 2, 2, 6, 2, 10, 2, 6, 6, 1, 6, 2, 1, 6, 6, 1, 6, 2, 2, 6, 2, 10, 2, 10, 1, 6, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 10, 2, 1, 10, 6, 1, 6, 1, 2, 2, 10, 10, 2, 2, 6, 6, 6, 2, 10, 6, 10, 6, 2, 6, 1, 10, 10, 6, 6, 6, 1, 1, 6, 1, 10, 2, 6, 6, 6, 2, 1, 1, 2, 10, 6, 10, 10, 6, 1, 6, 6, 1, 6, 2, 1, 6, 1, 6, 10, 2, 2, 1, 10, 1, 10, 6, 2, 10, 2, 2, 1, 6, 9, 10, 10, 5, 6, 10, 6, 1, 1, 1, 2, 2, 10, 10, 2, 5, 10, 1, 1, 6, 6, 6, 5, 1, 4, 1, 10, 2, 6, 10, 10, 6, 2, 4, 2, 6, 6, 1, 6, 10, 1, 5, 10, 6, 10, 10, 10, 10, 10, 1, 6, 1, 10, 10, 1, 10, 6, 1, 1, 1, 6, 1, 6, 10, 10, 10, 1, 6, 1, 1, 10, 6, 6, 6, 2, 1, 2, 2, 6, 2, 10, 2, 2, 2, 10, 1, 10, 6, 10, 2, 6, 10, 6, 2, 1, 10, 2, 6, 6, 2, 10, 6, 9, 1, 10, 1, 1, 2, 2, 2, 1, 10, 1, 6, 10, 1, 6, 3, 2, 2, 2, 9, 2, 10, 1, 1, 1, 1, 2, 6, 6, 1, 1, 1, 10, 10, 2, 10, 1, 2, 6, 2, 6, 1, 6, 1, 4, 10, 4, 6, 6, 10, 6, 10, 2, 1, 6, 1, 1, 6, 2, 10, 6, 1, 6, 2, 2, 10, 1, 10, 6, 1, 6, 10, 10, 10, 1, 6, 2, 6, 2, 10, 10, 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6, 2, 2, 10, 1, 2, 1, 2, 6, 1, 1, 6, 2, 2, 2, 10, 1, 1, 5, 6, 2, 6, 1, 6, 6, 1, 3, 2, 10, 10, 1, 1, 6, 10, 1, 2, 0, 10, 10, 1, 1, 2, 2, 10, 10, 10, 1, 10, 2, 2, 10, 2, 2, 5, 10, 1, 10, 1, 2, 10, 10, 1, 10, 2, 1, 1, 2, 10, 1, 10, 10, 5, 5, 1, 1, 2, 1, 4, 2, 1, 10, 1, 6, 2, 10, 1, 2, 10, 1, 2, 1, 9, 2, 1, 6, 2, 6, 6, 10, 2, 10, 2, 2, 10, 2, 2, 6, 5, 1, 6, 10, 10, 1, 2, 6, 6, 6, 2, 1, 2, 10, 2, 5, 2, 2, 2, 10, 2, 10, 1, 1, 1, 10, 1, 10, 1, 7, 2, 6, 1, 2, 10, 4, 2, 10, 1, 2, 10, 10, 10, 10, 2, 1, 2, 6, 10, 2, 1, 0, 2, 10, 1, 10, 10, 10, 1, 1, 10, 6, 6, 2, 10, 2, 1, 1, 1, 6, 10, 6, 2, 2, 1, 10, 2, 10, 10, 2, 10, 6, 6, 2, 2, 1, 1, 6, 1, 10, 6, 10, 6, 9, 6, 10, 1, 2, 2, 6, 4, 6, 1, 10, 2, 1, 2, 2, 10, 10, 1, 1, 1, 1, 10, 6, 1, 6, 10, 10, 10, 10, 6, 10, 2, 9, 6, 6, 10, 6, 1, 2, 2, 6, 10, 6, 9, 6, 2, 6, 1, 9, 10, 10, 10, 2, 10, 1, 1, 2, 6, 1, 6, 2, 10, 2, 1, 2, 10, 10, 2, 6, 6, 10, 2, 10, 10, 10, 10, 2, 10, 2, 1, 0, 6, 10, 1, 2, 2, 6, 2, 1, 6, 6, 10, 6, 6, 10, 6, 10, 6, 10, 6, 1, 6, 2, 2, 10, 2, 10, 10, 10, 2, 10, 1, 1, 10, 7, 2, 6, 1, 6, 10, 10, 6, 6, 1, 10, 1, 10, 1, 1, 2, 1, 10, 2, 1, 10, 1, 0, 2, 2, 10, 2, 10, 1, 2, 6, 1, 6, 6, 2, 1, 2, 10, 1, 9, 6, 1, 10, 6, 10, 10, 1, 6, 6, 10, 1, 6, 1, 4, 10, 10, 2, 6, 1, 1, 2, 10, 2, 1, 10, 2, 10, 2, 2, 2, 6, 2, 10, 6, 2, 1, 9, 6, 2, 10, 6, 10, 6, 1, 6, 2, 6, 1, 2, 1, 1, 10, 2, 6, 2, 2, 10, 2, 10, 6, 10, 1, 6, 1, 6, 6, 10, 2, 10, 1, 4, 2, 2, 2, 10, 6, 10, 2, 2, 9, 10, 2, 2, 0, 2, 1, 6, 6, 1, 1, 1, 6, 2, 2, 2, 10, 10, 1, 6, 1, 10, 2, 1, 2, 6, 1, 6, 10, 1, 1, 1, 10, 6, 6, 6, 1, 2, 10, 2, 10, 10, 6, 1, 1, 1, 1, 10, 10, 1, 6, 10, 6, 2, 1, 6, 10, 2, 1, 1, 2, 6, 10, 10, 10, 10, 10, 10, 6, 6, 1, 6, 10, 10, 10, 6, 1, 2, 2, 10, 2, 1, 10, 2, 6, 6, 2, 1, 2, 2, 2, 2, 1, 10, 6, 2, 6, 2, 6, 10, 1, 1, 10, 2, 4, 6, 1, 1, 6, 10, 6, 6, 1, 10, 6, 6, 2, 2, 1, 1, 6, 10, 10, 1, 2, 2, 2, 6, 2, 1, 6, 6, 2, 6, 6, 6, 6, 6, 6, 6, 2, 1, 6, 2, 10, 1, 10, 2, 2, 1, 1, 2, 10, 2, 10, 1, 2, 10, 1, 1, 10, 6, 2, 6, 6, 1, 2, 1, 10, 1, 10, 10, 1, 2, 2, 6, 1, 1, 1, 1, 1, 6, 4, 10, 1, 10, 6, 2, 2, 2, 10, 1, 9, 6, 6, 2, 10, 2, 1, 6, 1, 1, 10, 10, 1, 2, 2, 2, 1, 10, 2, 10, 10, 10, 1, 6, 2, 10, 10, 2, 1, 6, 2, 6, 6, 2, 6, 6, 2, 10, 1, 6, 10, 4, 2, 1, 2, 10, 10, 2, 10, 2, 10, 10, 2, 2, 6, 1, 1, 1, 2, 10, 6, 2, 6, 1, 10, 2, 2, 6, 2, 6, 1, 2, 1, 10, 10, 4, 1, 6, 6, 1, 1, 1, 2, 1, 1, 10, 10, 6, 10, 6, 1, 10, 10, 1, 10, 1, 1, 2, 2, 10, 6, 10, 10, 10, 10, 10, 2, 1, 10, 6, 10, 1, 6, 2, 2, 1, 2, 1, 2, 1, 2, 1, 6, 10, 10, 6, 0, 10, 10, 6, 10, 1, 1, 6, 2, 10, 1, 5, 2, 10, 6, 10, 1, 1, 1, 2, 2, 4, 10, 2, 6, 1, 1, 6, 1, 2, 6, 6, 10, 10, 10, 0, 10, 1, 10, 1, 10, 2, 2, 2, 5, 6, 6, 6, 6, 10, 1, 10, 10, 10, 10, 1, 2, 6, 10, 6, 6, 1, 6, 6, 6, 1, 10, 2, 10, 1, 1, 2, 10, 10, 10, 6, 6, 1, 6, 1, 10, 10, 1, 10, 2, 1, 2, 1, 1, 6, 10, 6, 1, 6, 2, 1, 1, 0, 10, 1, 1, 6, 10, 1, 6, 10, 6, 6, 2, 1, 1, 2, 10, 10, 10, 2, 5, 10, 10, 1, 10, 6, 10, 1, 10, 10, 10, 1, 2, 1, 1, 1, 2, 1, 6, 6, 6, 2, 6, 0, 2, 2, 6, 1, 1, 6, 2, 2, 2, 10, 2, 6, 2, 1, 2, 6, 6, 10, 4, 2, 1, 1, 2, 1, 10, 10, 6, 10, 10, 6, 10, 1, 6, 1, 1, 6, 10, 10, 1, 10, 2, 6, 6, 0, 6, 1, 2, 2, 2, 2, 10, 10, 6, 10, 0, 10, 0, 1, 10, 2, 1, 10, 1, 1, 1, 6, 1, 2, 6, 2, 2, 1, 10, 2, 10, 2, 1, 10, 10, 2, 1, 2, 1, 10, 2, 10, 2, 6, 2, 2, 6, 1, 10, 1, 2, 6, 6, 6, 10, 6, 1, 2, 1, 1, 10, 6, 0, 6, 2, 2, 6, 6, 2, 1, 9, 10, 2, 10, 2, 2, 6, 6, 6, 2, 10, 2, 1, 6, 2, 6, 6, 1, 10, 2, 10, 6, 1, 2, 2, 6, 10, 10, 2, 2, 6, 6, 1, 1, 6, 6, 1, 2, 10, 1, 2, 6, 10, 10, 10, 1, 4, 1, 10, 6, 2, 10, 6, 2, 2, 10, 10, 6, 1, 10, 6, 10, 1, 1, 6, 1, 10, 1, 2, 2, 6, 1, 2, 1, 1, 2, 2, 6, 2, 6, 2, 2, 6, 1, 6, 6, 1, 10, 1, 1, 10, 1, 10, 2, 4, 1, 2, 2, 6, 10, 2, 10, 2, 2, 4, 2, 10, 6, 10, 10, 10, 6, 6, 8, 10, 10, 2, 2, 1, 2, 6, 6, 6, 2, 1, 2, 2, 10, 10, 5, 10, 9, 1, 6, 6, 6, 2, 10, 6, 10, 1, 10, 6, 1, 6, 1, 6, 10, 10, 6, 10, 1, 6, 1, 2, 1, 6, 2, 1, 1, 6, 1, 10, 6, 1, 2, 10, 10, 10, 6, 10, 6, 10, 10, 1, 1, 10, 2, 6, 1, 6, 10, 1, 10, 10, 10, 2, 2, 1, 10, 10, 1, 10, 2, 1, 2, 6, 2, 6, 6, 6, 10, 6, 2, 2, 6, 2, 2, 2, 2, 2, 2, 10, 10, 10, 1, 10, 10, 1, 6, 6, 2, 0, 2, 10, 6, 2, 6, 10, 6, 1, 2, 1, 10, 1, 2, 6, 2, 2, 1, 10, 0, 6, 6, 5, 10, 1, 2, 6, 1, 10, 2, 2, 0, 1, 1, 10, 10, 6, 10, 2, 6, 1, 10, 1, 1, 1, 2, 1, 10, 10, 1, 1, 1, 1, 6, 6, 0, 2, 10, 10, 1, 1, 1, 2, 2, 10, 10, 6, 10, 1, 2, 2, 6, 10, 10, 0, 1, 2, 4, 2, 1, 10, 6, 6, 1, 2, 2, 2, 6, 1, 1, 1, 6, 6, 10, 1, 2, 10, 10, 10, 4, 2, 6, 2, 10, 10, 1, 2, 2, 6, 10, 10, 2, 9, 6, 10, 6, 10, 2, 2, 1, 1, 2, 6, 6, 10, 2, 6, 10, 10, 10, 2, 6, 1, 10, 2, 10, 6, 2, 10, 10, 10, 10, 2, 6, 10, 2, 6, 4, 2, 2, 5, 10, 10, 5, 1, 1, 2, 2, 1, 10, 2, 2, 2, 1, 10, 9, 10, 2, 10, 6, 6, 6, 2, 6, 10, 1, 6, 1, 6, 2, 6, 10, 10, 1, 10, 10, 1, 2, 2, 10, 1, 1, 6, 1, 1, 6, 1, 6, 2, 1, 6, 10, 6, 1, 1, 1, 6, 10, 2, 10, 6, 6, 1, 2, 1, 10, 10, 6, 2, 4, 10, 6, 10, 2, 6, 6, 1, 6, 10, 1, 6, 1, 6, 6, 1, 6, 10, 10, 0, 6, 10, 10, 1, 1, 1, 2, 10, 10, 4, 2, 6, 2, 6, 6, 2, 2, 10, 6, 10, 6, 1, 6, 1, 6, 1, 1, 2, 2, 6, 10, 2, 1, 1, 6, 1, 6, 2, 10, 5, 10, 6, 6, 1, 10, 2, 1, 10, 10, 10, 10, 6, 2, 10, 1, 2, 6, 2, 10, 10, 2, 1, 6, 2, 1, 2, 1, 2, 6, 2, 6, 1, 10, 1, 1, 6, 2, 6, 1, 6, 10, 6, 6, 4, 9, 10, 2, 1, 6, 10, 10, 2, 2, 2, 6, 1, 10, 2, 1, 10, 2, 10, 6, 1, 1, 1, 1, 6, 6, 6, 2, 2, 6, 6, 10, 2, 6, 1, 6, 6, 1, 9, 10, 10, 6, 2, 2, 1, 6, 2, 1, 6, 6, 2, 10, 6, 1, 6, 4, 6, 1, 6, 6, 2, 1, 6, 10, 6, 2, 2, 1, 10, 6, 6, 1, 1, 6, 10, 2, 2, 2, 10, 2, 1, 1, 1, 1, 10, 10, 1, 6, 2, 6, 1, 6, 2, 1, 6, 10, 1, 6, 10, 2, 1, 6, 10, 10, 1, 2, 2, 10, 2, 6, 6, 1, 10, 6, 6, 6, 6, 2, 10, 1, 2, 2, 6, 4, 6, 2, 1, 2, 10, 9, 1, 6, 9, 10, 10, 9, 6, 6, 10, 1, 1, 2, 2, 1, 10, 2, 1, 10, 1, 10, 2, 1, 10, 1, 6, 10, 2, 6, 6, 1, 2, 10, 2, 10, 6, 6, 6, 10, 1, 10, 10, 1, 6, 2, 6, 6, 6, 2, 10, 2, 10, 6, 6, 1, 2, 6, 6, 2, 6, 2, 6, 6, 1, 1, 0, 10, 2, 10, 1, 2, 10, 10, 0, 2, 1, 2, 1, 2, 2, 10, 0, 10, 6, 1, 10, 6, 10, 6, 10, 6, 6, 5, 2, 10, 1, 1, 1, 2, 2, 1, 6, 10, 10, 2, 10, 2, 6, 4, 10, 6, 1, 10, 2, 1, 2, 10, 6, 10, 10, 6, 1, 2, 10, 2, 1, 1, 2, 6, 6, 1, 1, 2, 1, 2, 1, 0, 2, 6, 10, 1, 1, 10, 10, 10, 4, 1, 6, 9, 2, 2, 6, 2, 2, 1, 6, 1, 10, 10, 6, 2, 6, 10, 2, 6, 10, 6, 10, 10, 1, 10, 6, 1, 2, 1, 6, 1, 2, 10, 2, 2, 2, 1, 10, 1, 6, 2, 2, 6, 1, 1, 2, 10, 1, 10, 1, 5, 2, 2, 1, 1, 6, 2, 1, 6, 6, 6, 10, 1, 1, 1, 1, 10, 6, 2, 10, 6, 6, 2, 2, 0, 6, 6, 6, 10, 6, 1, 10, 6, 6, 2, 10, 1, 1, 1, 2, 1, 6, 10, 5, 2, 1, 1, 1, 10, 10, 2, 6, 10, 10, 2, 6, 10, 2, 6, 10, 10, 10, 1, 1, 1, 6, 10, 2, 5, 1, 2, 6, 1, 1, 6, 10, 1, 10, 6, 6, 6, 6, 10, 6, 10, 2, 1, 2, 1, 10, 2, 1, 10, 9, 10, 6, 1, 2, 10, 10, 2, 2, 10, 1, 1, 1, 6, 2, 6, 1, 1, 10, 2, 2, 6, 1, 1, 2, 10, 2, 6, 6, 10, 10, 2, 1, 6, 10, 1, 2, 6, 6, 1, 1, 2, 3, 6, 1, 6, 6, 6, 9, 2, 1, 4, 10, 10, 1, 10, 1, 6, 1, 2, 6, 10, 10, 10, 1, 2, 2, 10, 1, 2, 6, 1, 6, 6, 2, 6, 1, 2, 10, 2, 10, 2, 6, 10, 2, 2, 10, 6, 6, 6, 5, 2, 1, 1, 6, 2, 2, 6, 6, 2, 10, 10, 1, 10, 1, 10, 1, 10, 10, 6, 1, 10, 6, 1, 6, 6, 2, 2, 1, 6, 1, 1, 10, 6, 10, 6, 10, 10, 1, 10, 1, 2, 10, 6, 1, 2, 1, 10, 2, 6, 6, 6, 6, 6, 1, 6, 10, 2, 6, 2, 2, 2, 2, 10, 10, 2, 1, 1, 2, 1, 10, 2, 10, 10, 2, 2, 2, 2, 10, 1, 1, 6, 10, 2, 10, 2, 2, 6, 1, 1, 6, 2, 6, 2, 6, 10, 10, 6, 1, 6, 1, 5, 1, 1, 1, 10, 6, 10, 6, 2, 6, 2, 10, 10, 6, 6, 5, 6, 6, 6, 1, 2, 4, 2, 1, 6, 1, 9, 1, 6, 6, 2, 2, 2, 1, 10, 10, 2, 2, 10, 2, 2, 6, 1, 6, 2, 2, 1, 6, 2, 6, 0, 6, 6, 10, 10, 6, 10, 10, 1, 6, 6, 6, 6, 10, 2, 10, 1, 6, 1, 1, 2, 1, 2, 1, 2, 10, 2, 4, 2, 6, 10, 6, 4, 6, 9, 10, 6, 10, 10, 6, 1, 1, 2, 6, 1, 4, 6, 1, 6, 2, 2, 10, 1, 6, 1, 10, 5, 1, 10, 6, 1, 5, 2, 10, 6, 1, 6, 6, 2, 10, 10, 10, 10, 1, 2, 6, 6, 2, 1, 1, 6, 1, 6, 6, 2, 1, 1, 6, 6, 6, 2, 10, 2, 1, 10, 10, 2, 10, 2, 1, 2, 1, 1, 1, 2, 2, 2, 6, 10, 1, 1, 2, 1, 2, 2, 6, 2, 6, 1, 2, 1, 2, 6, 2, 10, 2, 10, 2, 10, 10, 1, 10, 10, 10, 10, 6, 2, 1, 10, 6, 1, 1, 1, 0, 1, 2, 1, 6, 2, 6, 10, 2, 1, 10, 2, 1, 2, 1, 6, 1, 9, 6, 10, 2, 2, 10, 6, 10, 2, 2, 10, 6, 2, 2, 1, 1, 5, 6, 2, 1, 2, 2, 1, 2, 1, 2, 6, 10, 2, 1, 2, 9, 6, 1, 6, 6, 2, 2, 2, 2, 6, 1, 1, 2, 5, 10, 10, 10, 6, 10, 10, 2, 6, 6, 10, 6, 10, 10, 2, 6, 1, 2, 10, 2, 10, 6, 10, 1, 10, 10, 10, 6, 1, 1, 2, 2, 10, 6, 6, 6, 6, 10, 6, 10, 6, 1, 6, 6, 10, 1, 10, 10, 10, 6, 2, 10, 1, 10, 1, 1, 10, 6, 6, 2, 10, 6, 10, 10, 10, 2, 10, 10, 6, 1, 2, 2, 1, 1, 6, 1, 2, 1, 6, 1, 2, 2, 6, 10, 5, 10, 1, 9, 10, 6, 6, 1, 2, 6, 2, 10, 6, 10, 5, 4, 2, 1, 1, 9, 1, 6, 1, 2, 10, 6, 1, 1, 1, 6, 2, 6, 10, 1, 6, 10, 1, 6, 2, 1, 6, 1, 10, 6, 10, 6, 10, 9, 10, 2, 1, 2, 10, 2, 10, 10, 6, 6, 2, 10, 2, 10, 10, 2, 1, 2, 1, 10, 1, 0, 1, 10, 2, 2, 10, 2, 1, 1, 2, 2, 2, 10, 6, 6, 2, 10, 0, 4, 6, 6, 6, 2, 6, 10, 1, 6, 6, 10, 6, 10, 1, 2, 2, 1, 10, 1, 1, 10, 1, 6, 10, 1, 6, 6, 9, 9, 6, 6, 10, 10, 2, 6, 1, 6, 2, 6, 10, 1, 10, 1, 10, 2, 6, 10, 1, 1, 1, 2, 6, 10, 6, 2, 1, 2, 6, 10, 2, 10, 6, 2, 6, 2, 10, 10, 10, 2, 2, 10, 10, 2, 1, 2, 9, 10, 2, 6, 10, 10, 2, 6, 6, 10, 1, 10, 1, 10, 1, 6, 2, 6, 7, 6, 1, 10, 6, 2, 1, 2, 2, 10, 2, 10, 1, 6, 1, 2, 1, 2, 10, 4, 10, 1, 2, 6, 1, 6, 2, 1, 10, 6, 1, 2, 2, 6, 6, 10, 10, 6, 2, 1, 1, 2, 6, 1, 6, 10, 2, 6, 10, 6, 1, 10, 1, 6, 2, 1, 1, 2, 2, 10, 6, 6, 1, 1, 1, 2, 6, 10, 10, 1, 1, 10, 2, 2, 2, 2, 10, 10, 2, 1, 6, 6, 10, 10, 2, 10, 10, 2, 10, 10, 2, 1, 1, 6, 2, 1, 6, 6, 2, 6, 2, 6, 10, 1, 1, 2, 6, 10, 1, 4, 2, 6, 10, 10, 1, 6, 2, 1, 1, 1, 6, 6, 10, 2, 6, 1, 2, 6, 6, 1, 2, 10, 1, 1, 9, 1, 6, 10, 6, 1, 6, 6, 2, 6, 10, 6, 6, 2, 6, 2, 6, 1, 1, 2, 1, 10, 2, 10, 2, 2, 2, 2, 6, 10, 1, 10, 2, 10, 6, 6, 6, 10, 6, 10, 10, 6, 10, 1, 6, 6, 10, 2, 2, 6, 6, 6, 10, 5, 10, 10, 1, 6, 1, 1, 6, 2, 1, 10, 10, 1, 6, 10, 6, 1, 10, 10, 10, 6, 1, 10, 6, 6, 6, 6, 6, 10, 10, 6, 6, 2, 2, 1, 0, 1, 2, 6, 1, 6, 2, 1, 1, 10, 6, 1, 10, 6, 6, 1, 1, 10, 6, 6, 1, 6, 6, 6, 2, 2, 6, 10, 6, 10, 2, 10, 10, 6, 6, 10, 6, 2, 2, 6, 1, 1, 2, 2, 2, 1, 1, 6, 2, 10, 2, 6, 2, 2, 6, 2, 10, 6, 10, 1, 6, 10, 6, 2, 2, 6, 6, 6, 2, 2, 10, 10, 2, 1, 10, 1, 2, 6, 1, 1, 10, 6, 4, 1, 1, 1, 10, 2, 6, 1, 10, 6, 1, 2, 6, 6, 6, 6, 2, 1, 6, 5, 2, 10, 1, 1, 2, 2, 1, 6, 6, 1, 2, 2, 10, 6, 2, 1, 10, 2, 6, 6, 10, 10, 2, 1, 10, 10, 6, 6, 1, 1, 2, 1, 4, 2, 10, 9, 10, 2, 10, 6, 6, 6, 10, 10, 6, 2, 6, 10, 1, 6, 2, 2, 10, 2, 1, 1, 10, 10, 10, 10, 6, 10, 2, 1, 6, 1, 10, 1, 6, 2, 10, 6, 10, 10, 2, 2, 1, 1, 10, 1, 0, 1, 2, 1, 1, 2, 2, 10, 1, 2, 1, 2, 1, 2, 6, 6, 1, 1, 5, 2, 2, 10, 50, 10, 10, 6, 2, 10, 2, 6, 6, 10, 1, 1, 2, 10, 1, 5, 1, 1, 1, 2, 10, 6, 4, 6, 1, 2, 10, 2, 1, 10, 2, 10, 6, 1, 2, 6, 10, 10, 2, 2, 6, 2, 10, 6, 1, 0, 1, 10, 1, 10, 2, 10, 1, 6, 6, 6, 10, 1, 1, 1, 10, 1, 1, 2, 10, 2, 2, 9, 1, 0, 6, 1, 2, 2, 10, 2, 2, 2, 6, 2, 2, 2, 2, 6, 2, 1, 2, 10, 6, 1, 2, 0, 1, 6, 1, 6, 6, 10, 10, 2, 10, 10, 10, 1, 2, 2, 1, 1, 2, 10, 1, 10, 1, 1, 2, 6, 2, 2, 2, 10, 1, 2, 2, 10, 6, 2, 6, 6, 10, 10, 6, 1, 6, 5, 6, 10, 1, 10, 2, 10, 2, 1, 10, 2, 1, 10, 6, 1, 6, 9, 2, 2, 2, 10, 10, 6, 10, 6, 2, 2, 1, 10, 10, 1, 6, 10, 2, 2, 10, 2, 10, 6, 6, 10, 9, 2, 2, 10, 1, 10, 2, 2, 2, 10, 2, 1, 2, 1, 1, 5, 10, 2, 10, 10, 6, 2, 2, 10, 1, 1, 10, 10, 2, 10, 2, 2, 1, 6, 6, 6, 2, 2, 1, 2, 1, 10, 10, 2, 2, 10, 6, 10, 6, 1, 1, 2, 2, 1, 2, 2, 1, 6, 6, 5, 10, 6, 2, 1, 10, 5, 2, 6, 6, 2, 5, 1, 10, 2, 6, 4, 1, 6, 6, 1, 6, 10, 2, 10, 1, 10, 6, 2, 1, 6, 10, 10, 1, 6, 6, 10, 2, 6, 10, 2, 6, 4, 1, 10, 2, 2, 6, 1, 1, 1, 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1, 2, 10, 1, 1, 1, 9, 2, 1, 2, 2, 2, 1, 2, 10, 6, 1, 10, 2, 10, 1, 10, 1, 2, 1, 10, 6, 6, 6, 10, 1, 10, 2, 6, 1, 6, 6, 6, 2, 10, 2, 1, 6, 2, 10, 1, 9, 10, 1, 10, 10, 6, 6, 2, 4, 1, 10, 10, 2, 2, 1, 1, 2, 10, 1, 10, 1, 6, 10, 50, 9, 1, 10, 2, 6, 2, 2, 6, 10, 6, 10, 2, 1, 6, 6, 10, 1, 2, 1, 10, 6, 2, 1, 2, 10, 1, 10, 6, 1, 6, 2, 2, 6, 6, 2, 10, 2, 10, 1, 1, 9, 7, 1, 2, 1, 1, 1, 10, 1, 2, 1, 1, 5, 2, 2, 6, 2, 10, 6, 1, 10, 2, 1, 2, 2, 2, 10, 2, 6, 6, 6, 2, 2, 10, 1, 2, 1, 1, 1, 2, 1, 5, 10, 10, 2, 6, 2, 2, 2, 10, 1, 1, 2, 6, 2, 1, 5, 10, 6, 2, 2, 6, 10, 10, 6, 1, 10, 6, 10, 1, 6, 6, 10, 2, 2, 10, 2, 2, 10, 0, 2, 2, 1, 6, 10, 10, 10, 1, 4, 6, 2, 6, 10, 1, 2, 2, 2, 1, 10, 10, 2, 10, 2, 5, 6, 1, 6, 1, 6, 2, 6, 10, 1, 10, 1, 10, 10, 2, 1, 10, 2, 10, 1, 1, 1, 2, 6, 5, 2, 10, 2, 2, 6, 2, 2, 6, 10, 2, 2, 2, 6, 6, 10, 10, 6, 1, 1, 1, 10, 10, 2, 9, 6, 6, 6, 1, 10, 2, 2, 10, 10, 2, 1, 1, 2, 1, 10, 1, 10, 6, 1, 2, 2, 1, 1, 6, 2, 6, 10, 6, 10, 2, 9, 2, 6, 10, 1, 6, 2, 2, 2, 6, 10, 1, 2, 1, 9, 6, 10, 6, 2, 6, 9, 0, 10, 2, 10, 6, 1, 0, 6, 10, 2, 1, 2, 1, 2, 1, 10, 1, 2, 10, 1, 1, 6, 6, 6, 6, 6, 1, 1, 10, 2, 10, 2, 2, 1, 1, 1, 2, 2, 10, 6, 2, 1, 2, 2, 6, 2, 2, 10, 1, 6, 1, 1, 2, 10, 1, 1, 6, 2, 10, 1, 2, 1, 6, 10, 10, 6, 6, 1, 1, 2, 2, 1, 6, 6, 2, 6, 1, 6, 10, 10, 1, 1, 5, 9, 10, 1, 2, 10, 10, 2, 2, 2, 10, 4, 6, 1, 1, 6, 1, 6, 6, 10, 1, 2, 10, 2, 2, 6, 1, 2, 10, 6, 1, 6, 6, 1, 2, 6, 1, 10, 0, 10, 10, 10, 10, 10, 2, 10, 10, 2, 10, 2, 4, 1, 2, 10, 10, 6, 1, 0, 6, 10, 6, 2, 1, 2, 2, 6, 2, 6, 2, 1, 1, 6, 6, 10, 10, 2, 10, 10, 1, 4, 6, 2, 1, 6, 1, 1, 6, 1, 2, 10, 1, 10, 2, 2, 6, 2, 2, 1, 2, 1, 10, 1, 1, 10, 6, 10, 6, 2, 10, 10, 6, 10, 10, 6, 2, 2, 2, 1, 6, 6, 1, 6, 10, 2, 10, 10, 1, 10, 10, 1, 10, 10, 1, 2, 2, 10, 6, 1, 10, 2, 6, 6, 6, 6, 6, 10, 1, 1, 10, 10, 6, 2, 2, 6, 1, 1, 2, 1, 10, 10, 1, 2, 2, 6, 2, 4, 1, 4, 9, 1, 10, 10, 2, 10, 1, 10, 6, 10, 10, 2, 6, 6, 6, 6, 1, 6, 6, 1, 1, 2, 2, 2, 6, 10, 1, 2, 6, 1, 1, 2, 2, 2, 1, 6, 1, 2, 10, 1, 2, 1, 6, 4, 1, 2, 1, 10, 2, 2, 1, 2, 2, 6, 2, 1, 6, 2, 2, 6, 6, 6, 6, 6, 2, 2, 2, 2, 10, 2, 2, 6, 10, 6, 2, 2, 2, 6, 10, 1, 6, 6, 2, 10, 6, 2, 6, 2, 2, 2, 6, 10, 1, 1, 6, 6, 2, 1, 10, 10, 2, 0, 6, 1, 6, 1, 10, 10, 6, 2, 1, 6, 2, 6, 1, 2, 2, 6, 6, 2, 6, 2, 9, 10, 6, 2, 6, 10, 6, 10, 10, 10, 1, 1, 1, 1, 2, 10, 10, 10, 2, 1, 10, 6, 10, 2, 10, 6, 4, 2, 2, 1, 1, 2, 10, 10, 2, 10, 10, 1, 10, 2, 0, 2, 2, 2, 1, 9, 6, 10, 10, 2, 2, 1, 6, 6, 6, 10, 10, 6, 1, 6, 6, 6, 6, 2, 1, 10, 1, 1, 2, 6, 2, 6, 10, 6, 2, 10, 0, 6, 10, 1, 6, 2, 2, 1, 2, 4, 10, 1, 1, 2, 2, 6, 6, 2, 2, 2, 2, 6, 1, 6, 1, 6, 1, 9, 10, 6, 1, 6, 2, 2, 1, 10, 10, 1, 1, 10, 1, 10, 2, 2, 6, 2, 2, 2, 1, 6, 1, 6, 10, 2, 6, 10, 1, 1, 2, 10, 6, 10, 2, 1, 10, 6, 1, 1, 10, 6, 6, 1, 2, 10, 1, 4, 2, 2, 1, 10, 10, 1, 2, 1, 6, 10, 10, 2, 10, 1, 10, 10, 4, 1, 6, 1, 6, 1, 1, 2, 2, 6, 4, 6, 2, 1, 10, 10, 10, 1, 6, 2, 2, 6, 2, 2, 4, 2, 2, 10, 2, 1, 1, 1, 2, 6, 10, 2, 2, 6, 1, 2, 10, 2, 2, 6, 1, 1, 2, 1, 1, 1, 10, 10, 10, 6, 1, 6, 1, 10, 6, 10, 1, 2, 1, 6, 1, 10, 2, 10, 1, 6, 6, 2, 1, 6, 1, 9, 1, 1, 10, 10, 2, 10, 5, 1, 1, 10, 0, 10, 2, 2, 2, 1, 1, 6, 10, 2, 1, 10, 1, 10, 10, 6, 2, 6, 10, 6, 1, 2, 6, 1, 6, 1, 10, 2, 4, 1, 1, 2, 10, 1, 5, 2, 2, 1, 2, 2, 1, 10, 1, 1, 6, 6, 1, 2, 6, 10, 2, 9, 2, 1, 2, 2, 2, 2, 10, 1, 6, 6, 2, 6, 1, 10, 10, 6, 6, 2, 10, 1, 1, 2, 10, 6, 2, 2, 2, 10, 6, 10, 10, 10, 1, 2, 6, 6, 6, 2, 1, 2, 6, 1, 1, 2, 6, 1, 10, 2, 10, 2, 10, 6, 2, 6, 2, 1, 10, 10, 1, 10, 1, 3, 6, 10, 10, 10, 1, 1, 10, 2, 1, 1, 1, 4, 6, 10, 2, 6, 2, 1, 1, 6, 6, 10, 6, 6, 6, 10, 10, 10, 1, 1, 1, 10, 2, 6, 1, 6, 6, 1, 10, 1, 2, 2, 10, 4, 1, 10, 6, 2, 10, 6, 2, 1, 10, 6, 1, 2, 6, 2, 6, 1, 10, 10, 6, 10, 1, 1, 10, 1, 10, 6, 2, 1, 1, 6, 6, 2, 6, 1, 10, 6, 1, 10, 10, 10, 10, 6, 6, 10, 10, 6, 2, 1, 6, 6, 10, 10, 10, 10, 4, 1, 6, 6, 2, 1, 10, 10, 10, 2, 1, 10, 10, 6, 1, 6, 10, 2, 1, 1, 6, 1, 6, 1, 6, 1, 6, 6, 2, 10, 6, 2, 6, 6, 6, 6, 10, 1, 1, 2, 10, 6, 1, 2, 6, 2, 2, 10, 1, 6, 2, 10, 6, 1, 2, 10, 1, 2, 6, 10, 6, 6, 10, 10, 6, 10, 2, 10, 2, 10, 2, 6, 1, 10, 2, 2, 10, 2, 1, 6, 6, 10, 10, 2, 2, 10, 10, 10, 6, 1, 6, 10, 6, 6, 10, 10, 1, 2, 1, 6, 6, 10, 2, 6, 1, 10, 2, 10, 6, 2, 1, 10, 2, 10, 6, 1, 6, 1, 2, 2, 2, 2, 6, 1, 2, 2, 1, 1, 1, 1, 10, 0, 10, 2, 6, 10, 2, 2, 10, 10, 6, 10, 6, 10, 6, 10, 2, 10, 2, 6, 10, 2, 6, 10, 10, 1, 2, 10, 10, 2, 10, 10, 2, 1, 1, 10, 1, 2, 1, 10, 10, 6, 1, 2, 2, 2, 1, 10, 1, 10, 6, 10, 1, 2, 2, 0, 2, 6, 1, 1, 6, 6, 0, 6, 6, 6, 2, 6, 6, 10, 1, 1, 0, 10, 2, 10, 2, 6, 10, 1, 10, 10, 6, 2, 10, 2, 6, 1, 10, 2, 1, 2, 1, 10, 2, 10, 2, 10, 9, 2, 2, 1, 0, 10, 9, 6, 2, 10, 10, 6, 6, 2, 1, 1, 10, 10, 4, 1, 10, 10, 1, 6, 2, 2, 6, 10, 2, 6, 1, 10, 1, 6, 6, 6, 6, 2, 10, 2, 10, 6, 10, 1, 6, 1, 1, 10, 1, 10, 10, 1, 1, 10, 10, 2, 1, 10, 2, 6, 6, 6, 1, 2, 6, 1, 4, 10, 2, 1, 1, 6, 1, 1, 6, 1, 1, 1, 2, 2, 6, 2, 2, 6, 10, 10, 6, 2, 2, 2, 1, 10, 10, 1, 1, 10, 2, 10, 1, 10, 10, 6, 1, 9, 6, 1, 10, 6, 6, 10, 9, 10, 2, 10, 6, 6, 9, 1, 2, 10, 10, 6, 6, 1, 6, 1, 1, 1, 1, 6, 6, 10, 10, 1, 10, 2, 1, 10, 10, 10, 10, 6, 1, 10, 1, 1, 10, 10, 0, 1, 10, 2, 10, 6, 1, 6, 1, 6, 1, 1, 6, 2, 10, 2, 10, 6, 2, 10, 2, 10, 1, 1, 2, 6, 4, 6, 1, 2, 2, 1, 6, 2, 6, 2, 6, 6, 2, 10, 1, 2, 2, 1, 6, 1, 6, 6, 1, 2, 10, 6, 2, 9, 2, 10, 2, 6, 10, 1, 2, 1, 6, 4, 10, 10, 2, 2, 1, 5, 1, 6, 6, 2, 4, 1, 2, 6, 6, 10, 2, 10, 10, 1, 1, 1, 5, 2, 1, 10, 2, 2, 2, 1, 6, 2, 6, 2, 10, 1, 1, 2, 6, 10, 2, 1, 2, 10, 2, 2, 1, 5, 1, 10, 10, 2, 6, 9, 2, 6, 2, 1, 10, 6, 6, 6, 1, 2, 2, 6, 1, 10, 2, 6, 10, 2, 10, 1, 1, 2, 1, 1, 1, 1, 6, 0, 1, 10, 6, 1, 6, 1, 6, 9, 10, 1, 1, 1, 6, 2, 1, 6, 10, 1, 1, 2, 1, 10, 10, 10, 10, 6, 1, 10, 6, 10, 6, 10, 2, 10, 2, 1, 6, 2, 6, 1, 5, 2, 6, 2, 2, 2, 6, 10, 10, 10, 10, 2, 1, 1, 2, 1, 2, 6, 2, 1, 1, 1, 6, 2, 10, 2, 1, 10, 1, 2, 6, 2, 2, 6, 6, 1, 2, 2, 1, 1, 2, 6, 10, 10, 10, 6, 6, 2, 6, 1, 2, 6, 6, 1, 6, 1, 2, 10, 1, 1, 10, 6, 10, 2, 2, 6, 2, 1, 6, 0, 10, 10, 5, 6, 10, 1, 2, 1, 5, 9, 1, 10, 4, 2, 2, 6, 2, 6, 10, 5, 10, 10, 1, 10, 6, 10, 10, 2, 10, 6, 10, 10, 10, 6, 6, 1, 1, 10, 0, 1, 10, 10, 6, 2, 10, 2, 10, 6, 10, 1, 2, 1, 10, 1, 2, 6, 6, 10, 6, 6, 1, 1, 1, 10, 2, 1, 10, 6, 6, 10, 2, 4, 1, 2, 2, 10, 2, 1, 1, 2, 10, 6, 2, 10, 6, 6, 6, 10, 2, 6, 6, 1, 2, 1, 1, 1, 2, 6, 6, 1, 6, 2, 2, 2, 6, 6, 6, 1, 1, 2, 6, 10, 1, 6, 2, 6, 6, 0, 1, 10, 10, 0, 2, 6, 2, 6, 6, 10, 10, 4, 10, 2, 10, 2, 1, 2, 2, 6, 2, 2, 1, 10, 6, 10, 1, 10, 10, 10, 10, 2, 1, 2, 6, 2, 6, 2, 1, 1, 1, 6, 2, 1, 10, 6, 2, 2, 6, 1, 10, 10, 10, 2, 1, 1, 1, 6, 10, 2, 10, 1, 6, 6, 1, 1, 10, 1, 6, 1, 6, 6, 1, 6, 10, 6, 2, 6, 1, 6, 6, 10, 2, 10, 2, 1, 6, 2, 6, 1, 2, 1, 10, 6, 1, 6, 6, 0, 6, 2, 2, 10, 2, 2, 4, 10, 6, 2, 6, 10, 1, 1, 2, 1, 1, 1, 1, 10, 2, 2, 1, 2, 10, 1, 10, 10, 2, 1, 2, 10, 1, 2, 10, 0, 1, 1, 6, 10, 1, 6, 10, 10, 6, 6, 1, 10, 10, 10, 10, 6, 6, 6, 1, 1, 6, 1, 6, 10, 6, 10, 2, 1, 2, 10, 2, 6, 10, 2, 10, 6, 0, 1, 6, 10, 10, 1, 10, 2, 1, 10, 1, 10, 1, 9, 1, 6, 1, 1, 6, 10, 6, 2, 6, 2, 2, 6, 5, 2, 10, 1, 6, 2, 2, 2, 2, 6, 2, 10, 2, 1, 6, 2, 2, 2, 1, 10, 10, 6, 10, 6, 2, 2, 2, 1, 6, 6, 2, 6, 6, 2, 2, 10, 2, 6, 2, 1, 10, 10, 6, 6, 1, 10, 2, 6, 1, 5, 6, 10, 1, 1, 1, 6, 1, 4, 6, 10, 10, 1, 1, 6, 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6, 6, 1, 1, 2, 2, 1, 1, 6, 1, 2, 6, 1, 2, 10, 6, 10, 1, 6, 10, 6, 1, 1, 6, 2, 4, 10, 10, 6, 2, 9, 10, 6, 2, 10, 2, 2, 5, 2, 6, 1, 1, 10, 10, 1, 6, 6, 6, 2, 10, 6, 6, 6, 10, 6, 1, 10, 10, 10, 1, 6, 10, 6, 1, 10, 6, 10, 6, 4, 1, 1, 10, 2, 1, 10, 6, 10, 1, 2, 1, 6, 2, 6, 10, 2, 10, 10, 1, 10, 1, 1, 6, 1, 2, 10, 10, 2, 6, 10, 1, 6, 2, 10, 2, 6, 6, 1, 6, 6, 2, 2, 1, 2, 2, 6, 10, 1, 10, 10, 2, 10, 1, 1, 6, 2, 2, 2, 9, 10, 6, 1, 10, 10, 10, 2, 1, 10, 6, 6, 2, 10, 2, 6, 10, 10, 6, 5, 1, 6, 1, 1, 2, 6, 2, 6, 6, 6, 2, 10, 6, 1, 2, 10, 2, 2, 2, 6, 2, 10, 2, 1, 6, 2, 6, 6, 10, 2, 6, 10, 1, 6, 10, 10, 6, 6, 2, 2, 1, 10, 2, 6, 0, 2, 2, 1, 1, 6, 1, 1, 1, 1, 6, 2, 1, 2, 10, 1, 4, 2, 1, 2, 10, 6, 6, 10, 1, 1, 10, 10, 10, 2, 2, 1, 2, 1, 1, 10, 2, 1, 10, 10, 1, 10, 0, 9, 10, 2, 6, 6, 6, 2, 2, 2, 6, 2, 1, 10, 10, 6, 6, 2, 6, 2, 4, 2, 6, 1, 10, 2, 10, 6, 2, 1, 1, 1, 10, 10, 4, 6, 2, 1, 10, 2, 2, 6, 4, 10, 1, 1, 6, 6, 1, 1, 1, 2, 6, 1, 2, 2, 6, 1, 2, 50, 2, 2, 2, 10, 10, 1, 6, 1, 1, 2, 1, 1, 10, 6, 9, 1, 2, 1, 6, 1, 10, 10, 4, 10, 2, 10, 6, 10, 2, 6, 10, 2, 10, 10, 2, 10, 10, 10, 10, 1, 1, 10, 2, 1, 2, 1, 10, 6, 10, 2, 10, 1, 10, 2, 6, 6, 10, 1, 2, 6, 1, 2, 10, 10, 10, 6, 6, 2, 2, 6, 0, 0, 2, 1, 2, 6, 6, 6, 4, 10, 2, 2, 10, 10, 6, 50, 2, 1, 2, 6, 10, 1, 6, 10, 2, 6, 2, 6, 6, 10, 2, 10, 1, 6, 6, 1, 10, 10, 2, 9, 2, 10, 2, 6, 1, 6, 1, 2, 10, 1, 1, 2, 9, 6, 2, 1, 10, 6, 2, 1, 6, 1, 1, 6, 2, 10, 6, 10, 1, 4, 1, 2, 1, 1, 1, 6, 10, 1, 1, 1, 2, 10, 10, 6, 10, 10, 2, 10, 10, 6, 6, 6, 10, 2, 10, 1, 6, 1, 10, 2, 6, 6, 2, 2, 10, 0, 2, 0, 9, 10, 2, 10, 6, 1, 2, 6, 9, 10, 6, 6, 2, 10, 4, 10, 1, 6, 1, 10, 10, 7, 10, 2, 10, 1, 10, 2, 6, 10, 6, 6, 2, 6, 1, 2, 2, 2, 2, 10, 10, 6, 2, 6, 1, 1, 6, 10, 1, 2, 10, 2, 2, 1, 6, 1, 2, 2, 6, 2, 10, 1, 1, 10, 1, 6, 2, 10, 2, 10, 10, 1, 10, 10, 1, 1, 2, 6, 6, 6, 0, 10, 2, 2, 6, 10, 1, 10, 10, 6, 10, 2, 1, 6, 2, 2, 2, 6, 6, 6, 2, 2, 1, 10, 6, 10, 6, 1, 10, 6, 6, 10, 4, 10, 10, 10, 1, 1, 2, 2, 1, 6, 6, 2, 6, 10, 10, 10, 2, 1, 1, 2, 10, 1, 2, 1, 6, 1, 10, 2, 10, 1, 1, 6, 6, 10, 6, 2, 2, 1, 1, 6, 10, 2, 10, 10, 10, 1, 6, 1, 6, 10, 2, 6, 10, 2, 6, 2, 1, 1, 10, 10, 6, 6, 10, 2, 10, 2, 6, 2, 10, 2, 4, 1, 10, 10, 10, 1, 6, 6, 2, 1, 6, 10, 1, 10, 1, 2, 10, 6, 10, 6, 6, 6, 6, 2, 2, 10, 2, 10, 6, 2, 6, 2, 10, 6, 10, 6, 10, 10, 6, 1, 2, 0, 6, 1, 1, 2, 1, 6, 10, 2, 10, 2, 5, 10, 2, 2, 10, 1, 10, 1, 2, 6, 1, 10, 2, 10, 10, 10, 10, 10, 10, 1, 2, 10, 6, 6, 10, 6, 6, 2, 1, 2, 1, 10, 2, 10, 6, 2, 2, 1, 1, 2, 1, 10, 2, 10, 2, 10, 9, 2, 2, 6, 10, 1, 6, 6, 10, 2, 10, 1, 10, 6, 4, 2, 1, 10, 1, 1, 2, 1, 6, 1, 6, 6, 6, 10, 1, 6, 1, 2, 10, 6, 10, 6, 2, 6, 1, 10, 10, 10, 10, 6, 1, 6, 2, 1, 1, 6, 9, 10, 2, 1, 1, 2, 6, 2, 1, 10, 1, 10, 0, 2, 1, 2, 2, 2, 2, 1, 2, 10, 6, 10, 1, 10, 2, 1, 10, 6, 6, 1, 1, 2, 2, 1, 1, 6, 10, 1, 1, 1, 10, 2, 1, 1, 9, 90, 6, 2, 10, 2, 10, 10, 2, 6, 6, 6, 0, 10, 6, 6, 2, 6, 2, 10, 2, 10, 5, 10, 2, 10, 5, 2, 2, 6, 2, 2, 6, 10, 10, 10, 6, 5, 2, 9, 6, 10, 10, 1, 10, 6, 10, 2, 10, 1, 2, 2, 6, 1, 2, 6, 1, 1, 6, 2, 1, 6, 6, 6, 6, 2, 6, 6, 1, 2, 1, 1, 2, 10, 6, 6, 6, 1, 1, 2, 2, 1, 2, 6, 4, 2, 2, 2, 1, 2, 6, 1, 6, 6, 10, 1, 1, 6, 10, 1, 2, 1, 10, 1, 1, 6, 1, 2, 10, 10, 1, 1, 10, 2, 1, 10, 10, 2, 1, 1, 1, 10, 4, 2, 6, 6, 6, 6, 1, 10, 1, 1, 1, 10, 6, 2, 6, 10, 1, 1, 6, 2, 2, 10, 10, 0, 1, 0, 10, 1, 6, 2, 2, 2, 1, 10, 10, 6, 6, 10, 1, 2, 1, 6, 2, 1, 1, 6, 2, 6, 10, 1, 6, 10, 1, 10, 1, 2, 10, 1, 1, 10, 1, 6, 2, 6, 10, 2, 2, 1, 2, 1, 10, 10, 2, 10, 10, 6, 10, 10, 2, 1, 10, 6, 10, 2, 6, 10, 2, 1, 2, 10, 2, 10, 6, 2, 10, 1, 10, 6, 1, 1, 4, 1, 6, 10, 6, 2, 4, 10, 1, 2, 6, 6, 4, 2, 2, 2, 6, 6, 2, 2, 2, 1, 2, 10, 10, 1, 2, 6, 1, 6, 6, 1, 10, 6, 10, 6, 1, 1, 1, 2, 2, 6, 10, 2, 1, 2, 1, 10, 6, 10, 2, 10, 10, 2, 6, 6, 6, 6, 6, 10, 2, 2, 4, 6, 6, 2, 10, 2, 6, 2, 1, 6, 6, 2, 10, 1, 10, 10, 6, 10, 1, 6, 10, 10, 10, 10, 6, 6, 6, 6, 1, 2, 10, 6, 1, 2, 10, 9, 2, 2, 9, 10, 1, 1, 10, 2, 1, 2, 6, 1, 10, 1, 10, 2, 1, 1, 10, 5, 2, 1, 2, 2, 2, 6, 10, 1, 1, 2, 2, 1, 1, 6, 1, 10, 10, 2, 6, 6, 2, 10, 6, 6, 1, 6, 1, 1, 2, 6, 6, 2, 10, 10, 10, 10, 2, 2, 1, 10, 10, 0, 2, 10, 10, 2, 10, 10, 2, 10, 1, 6, 2, 6, 2, 6, 2, 2, 2, 2, 6, 2, 0, 2, 4, 10, 6, 1, 1, 5, 10, 10, 2, 2, 6, 2, 4, 2, 2, 1, 10, 1, 2, 6, 6, 1, 6, 2, 10, 1, 1, 6, 10, 2, 2, 1, 6, 9, 10, 6, 2, 1, 2, 6, 10, 6, 6, 2, 10, 10, 10, 6, 6, 1, 1, 1, 1, 6, 10, 6, 4, 2, 2, 2, 2, 1, 2, 2, 10, 10, 10, 6, 6, 1, 1, 6, 6, 2, 6, 1, 1, 10, 1, 10, 1, 2, 2, 2, 2, 1, 1, 10, 10, 10, 6, 2, 10, 2, 1, 10, 2, 6, 2, 6, 6, 1, 6, 10, 6, 1, 10, 2, 6, 10, 10, 2, 1, 2, 10, 2, 1, 6, 1, 1, 1, 1, 1, 10, 1, 1, 6, 1, 6, 1, 10, 1, 10, 10, 2, 10, 6, 2, 10, 1, 10, 6, 2, 1, 6, 10, 6, 10, 6, 6, 1, 1, 10, 10, 2, 1, 6, 10, 10, 10, 10, 1, 10, 6, 6, 1, 10, 2, 2, 1, 1, 2, 2, 10, 10, 1, 1, 10, 2, 1, 6, 2, 10, 2, 2, 2, 1, 6, 6, 10, 10, 1, 1, 6, 1, 6, 6, 6, 10, 10, 2, 2, 10, 6, 2, 10, 6, 1, 6, 10, 1, 10, 2, 10, 6, 10, 6, 10, 1, 6, 9, 1, 6, 6, 10, 10, 5, 1, 6, 1, 2, 6, 10, 2, 2, 2, 10, 10, 2, 2, 2, 10, 1, 10, 2, 10, 6, 6, 1, 10, 6, 2, 6, 6, 6, 10, 2, 10, 6, 2, 2, 1, 6, 2, 2, 1, 2, 6, 10, 1, 1, 6, 10, 1, 10, 6, 6, 1, 10, 1, 2, 6, 1, 6, 2, 6, 10, 1, 6, 1, 1, 1, 2, 10, 9, 2, 10, 1, 2, 5, 2, 6, 10, 1, 6, 2, 10, 10, 10, 10, 10, 2, 6, 6, 2, 10, 6, 1, 10, 1, 1, 1, 6, 6, 2, 10, 10, 1, 1, 1, 10, 10, 2, 2, 1, 2, 2, 6, 1, 1, 6, 10, 9, 6, 6, 10, 1, 1, 10, 2, 10, 9, 2, 2, 2, 10, 10, 2, 10, 10, 1, 1, 10, 2, 6, 4, 6, 1, 6, 10, 6, 2, 6, 10, 6, 6, 6, 1, 10, 1, 1, 6, 6, 6, 6, 6, 4, 4, 10, 1, 10, 6, 6, 1, 0, 1, 10, 4, 2, 6, 10, 2, 6, 2, 10, 2, 10, 6, 6, 1, 10, 2, 6, 2, 2, 6, 1, 6, 6, 6, 2, 10, 2, 1, 1, 2, 10, 6, 2, 10, 2, 1, 2, 6, 1, 0, 10, 10, 2, 2, 6, 6, 1, 6, 10, 6, 2, 6, 6, 1, 10, 1, 10, 6, 2, 2, 1, 10, 6, 6, 6, 6, 6, 6, 2, 10, 2, 2, 2, 6, 2, 2, 1, 1, 2, 2, 10, 10, 10, 6, 2, 1, 6, 10, 10, 2, 2, 2, 1, 6, 10, 1, 10, 2, 6, 10, 6, 6, 2, 6, 10, 1, 10, 6, 2, 10, 2, 6, 6, 0, 1, 6, 2, 2, 6, 10, 6, 1, 1, 2, 10, 6, 1, 2, 10, 2, 6, 2, 2, 6, 1, 6, 6, 1, 1, 6, 6, 6, 2, 1, 6, 6, 60, 1, 10, 1, 1, 1, 10, 6, 1, 6, 2, 6, 2, 2, 2, 1, 1, 10, 10, 6, 10, 6, 6, 10, 1, 9, 2, 1, 2, 10, 2, 1, 6, 10, 2, 1, 6, 1, 2, 10, 2, 2, 1, 1, 10, 2, 1, 9, 2, 1, 2, 6, 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1, 1, 1, 1, 10, 1, 6, 10, 6, 2, 10, 1, 6, 1, 10, 6, 1, 2, 10, 10, 1, 10, 1, 10, 6, 1, 6, 1, 6, 10, 10, 6, 2, 1, 10, 6, 2, 1, 1, 10, 10, 2, 10, 6, 10, 2, 10, 6, 2, 10, 10, 1, 1, 2, 6, 2, 10, 1, 2, 10, 6, 2, 1, 10, 10, 2, 6, 6, 1, 10, 6, 1, 10, 1, 6, 6, 2, 1, 10, 6, 6, 2, 10, 6, 2, 10, 10, 2, 6, 60, 10, 1, 1, 6, 10, 10, 10, 10, 10, 6, 6, 6, 0, 6, 0, 2, 10, 6, 10, 10, 6, 6, 1, 10, 2, 2, 2, 10, 10, 2, 6, 1, 10, 2, 10, 2, 10, 2, 6, 10, 2, 2, 1, 10, 10, 2, 2, 6, 6, 10, 1, 10, 6, 1, 6, 10, 2, 10, 10, 1, 10, 1, 2, 6, 2, 1, 10, 2, 10, 1, 10, 2, 6, 6, 6, 6, 6, 2, 9, 2, 1, 5, 2, 1, 2, 6, 1, 6, 2, 6, 1, 10, 6, 2, 10, 6, 6, 2, 2, 2, 6, 6, 1, 6, 1, 2, 10, 1, 10, 6, 10, 2, 1, 10, 10, 10, 2, 6, 2, 2, 2, 5, 10, 10, 2, 1, 2, 10, 1, 10, 6, 6, 6, 10, 6, 1, 2, 1, 6, 1, 2, 1, 6, 6, 1, 1, 2, 10, 2, 10, 10, 10, 2, 2, 10, 2, 2, 4, 10, 2, 6, 1, 1, 1, 6, 2, 6, 1, 6, 1, 10, 10, 6, 1, 0, 2, 10, 6, 2, 1, 1, 6, 1, 1, 2, 10, 6, 1, 6, 10, 6, 1, 6, 2, 1, 2, 1, 10, 1, 6, 2, 10, 10, 2, 6, 1, 2, 1, 2, 10, 1, 6, 6, 6, 1, 10, 6, 1, 6, 6, 1, 2, 6, 0, 1, 6, 10, 1, 1, 6, 1, 6, 2, 6, 2, 6, 6, 10, 6, 10, 10, 2, 6, 10, 2, 10, 2, 2, 2, 6, 6, 10, 1, 10, 10, 10, 6, 6, 10, 10, 2, 6, 10, 6, 1, 2, 6, 2, 2, 10, 10, 2, 6, 4, 1, 10, 6, 1, 6, 6, 1, 6, 10, 1, 2, 1, 10, 6, 2, 1, 1, 2, 1, 1, 10, 10, 1, 6, 6, 1, 2, 2, 1, 6, 2, 1, 1, 2, 10, 1, 6, 2, 10, 2, 6, 1, 10, 1, 2, 10, 10, 10, 6, 6, 10, 10, 10, 10, 6, 10, 1, 6, 1, 10, 1, 6, 6, 6, 10, 1, 6, 2, 5, 1, 2, 10, 1, 1, 6, 6, 6, 10, 10, 6, 10, 6, 10, 2, 2, 6, 1, 6, 10, 6, 6, 1, 1, 2, 2, 10, 1, 4, 2, 1, 6, 2, 10, 2, 10, 1, 10, 2, 10, 10, 6, 10, 2, 1, 10, 1, 6, 2, 1, 1, 2, 2, 4, 2, 1, 2, 1, 2, 2, 2, 10, 6, 1, 10, 6, 2, 10, 6, 2, 10, 1, 10, 10, 6, 9, 10, 6, 1, 1, 2, 6, 6, 1, 6, 10, 1, 1, 6, 10, 10, 6, 1, 10, 2, 2, 1, 1, 1, 1, 6, 10, 6, 10, 2, 6, 10, 10, 2, 10, 1, 1, 2, 5, 10, 6, 0, 0, 2, 10, 6, 10, 0, 6, 6, 10, 1, 2, 6, 2, 50, 10, 10, 1, 10, 10, 1, 6, 2, 10, 10, 10, 6, 6, 2, 10, 10, 2, 6, 6, 2, 10, 2, 2, 1, 6, 10, 2, 5, 6, 10, 10, 2, 4, 10, 2, 10, 6, 1, 6, 10, 6, 6, 1, 1, 1, 1, 6, 6, 2, 1, 2, 6, 10, 2, 2, 6, 6, 10, 10, 1, 6, 10, 6, 10, 2, 2, 1, 0, 2, 5, 6, 10, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 10, 2, 10, 1, 0, 6, 2, 10, 1, 10, 6, 2, 1, 1, 1, 6, 1, 10, 6, 2, 6, 2, 10, 1, 6, 1, 2, 2, 10, 2, 10, 2, 2, 10, 6, 2, 1, 1, 1, 1, 9, 2, 6, 2, 6, 2, 2, 6, 6, 6, 2, 2, 2, 2, 6, 6, 2, 10, 6, 10, 2, 10, 6, 2, 6, 1, 1, 10, 1, 1, 10, 1, 6, 1, 10, 6, 2, 10, 6, 2, 10, 10, 6, 10, 1, 1, 10, 2, 2, 9, 6, 2, 6, 6, 1, 2, 6, 6, 2, 1, 1, 4, 4, 10, 1, 10, 10, 6, 10, 1, 2, 2, 5, 9, 10, 2, 1, 6, 2, 2, 1, 10, 1, 1, 10, 2, 10, 9, 2, 2, 1, 5, 6, 2, 6, 4, 6, 6, 2, 10, 6, 1, 10, 10, 6, 1, 10, 2, 2, 10, 6, 1, 2, 5, 10, 6, 1, 10, 6, 10, 6, 10, 2, 10, 2, 2, 4, 1, 1, 6, 2, 10, 2, 6, 1, 6, 10, 10, 6, 10, 10, 10, 6, 5, 10, 10, 10, 1, 10, 2, 2, 1, 1, 2, 2, 6, 2, 6, 6, 6, 10, 6, 10, 9, 2, 6, 2, 10, 1, 1, 2, 10, 1, 10, 9, 6, 10, 2, 10, 10, 1, 6, 1, 2, 1, 10, 1, 2, 10, 10, 0, 6, 6, 10, 9, 10, 1, 6, 6, 6, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 6, 2, 6, 6, 2, 6, 10, 1, 2, 1, 2, 1, 1, 6, 9, 1, 10, 10, 6, 1, 10, 6, 1, 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1, 2, 1, 2, 2, 2, 10, 1, 2, 4, 2, 2, 10, 2, 2, 10, 6, 10, 6, 1, 1, 1, 6, 1, 2, 2, 6, 1, 6, 10, 1, 6, 10, 6, 1, 10, 1, 6, 6, 1, 2, 10, 6, 6, 6, 2, 10, 6, 6, 1, 6, 10, 1, 6, 10, 2, 2, 10, 2, 6, 10, 10, 1, 6, 6, 6, 6, 1, 6, 10, 6, 2, 10, 9, 6, 1, 9, 1, 2, 1, 10, 2, 1, 1, 10, 2, 1, 1, 10, 2, 1, 10, 6, 1, 1, 2, 2, 10, 2, 2, 2, 6, 1, 6, 10, 2, 6, 10, 6, 1, 1, 1, 10, 10, 10, 2, 1, 10, 1, 6, 1, 2, 1, 1, 1, 1, 1, 6, 2, 10, 2, 10, 2, 1, 1, 10, 6, 2, 10, 10, 2, 10, 1, 2, 6, 1, 2, 6, 10, 2, 2, 2, 2, 6, 2, 10, 2, 6, 1, 1, 10, 2, 2, 10, 10, 1, 6, 6, 6, 10, 10, 1, 1, 2, 10, 1, 2, 10, 2, 10, 2, 1, 10, 2, 2, 2, 1, 6, 6, 6, 10, 2, 6, 6, 1, 2, 6, 2, 2, 10, 2, 1, 2, 9, 1, 2, 2, 10, 10, 10, 10, 2, 2, 10, 10, 6, 2, 10, 10, 1, 2, 2, 1, 10, 1, 6, 1, 2, 1, 10, 2, 2, 1, 10, 2, 1, 2, 2, 2, 1, 2, 1, 10, 10, 6, 6, 6, 9, 2, 1, 1, 10, 10, 6, 6, 6, 6, 6, 1, 6, 1, 2, 6, 1, 6, 10, 2, 2, 6, 10, 10, 2, 1, 10, 6, 0, 2, 1, 1, 2, 1, 1, 9, 2, 6, 1, 1, 6, 6, 6, 2, 1, 10, 10, 10, 2, 2, 1, 1, 6, 1, 1, 10, 2, 10, 2, 6, 10, 1, 6, 10, 6, 10, 6, 2, 1, 2, 10, 6, 10, 10, 2, 10, 2, 1, 10, 1, 1, 2, 6, 1, 10, 6, 6, 10, 1, 2, 2, 10, 5, 6, 6, 6, 10, 2, 10, 6, 6, 1, 10, 6, 1, 10, 2, 2, 6, 6, 10, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 6, 1, 10, 1, 6, 1, 2, 6, 2, 6, 6, 10, 6, 6, 1, 6, 10, 2, 6, 1, 10, 10, 1, 10, 2, 2, 6, 2, 10, 10, 6, 2, 1, 2, 1, 10, 9, 10, 1, 10, 2, 2, 10, 4, 2, 2, 1, 2, 1, 10, 6, 2, 2, 1, 1, 10, 1, 5, 1, 10, 2, 10, 6, 10, 2, 1, 1, 6, 2, 1, 2, 10, 10, 2, 2, 1, 1, 6, 6, 6, 2, 10, 6, 1, 1, 10, 2, 1, 1, 10, 6, 6, 10, 10, 6, 4, 2, 6, 10, 6, 6, 2, 10, 6, 1, 1, 1, 6, 6, 2, 1, 4, 10, 1, 10, 6, 2, 6, 1, 9, 1, 6, 9, 2, 1, 10, 10, 2, 6, 6, 1, 10, 0, 1, 1, 1, 1, 2, 2, 6, 6, 10, 6, 1, 6, 10, 10, 10, 10, 1, 2, 1, 1, 1, 1, 10, 1, 10, 10, 1, 2, 1, 1, 1, 2, 6, 2, 6, 2, 6, 6, 2, 4, 1, 1, 1, 2, 2, 9, 10, 6, 6, 6, 10, 1, 6, 10, 10, 10, 6, 1, 2, 6, 1, 2, 1, 1, 6, 2, 1, 10, 10, 1, 1, 1, 1, 6, 10, 6, 10, 1, 1, 1, 2, 10, 10, 10, 2, 6, 10, 1, 10, 2, 2, 1, 1, 2, 2, 2, 1, 10, 10, 6, 10, 6, 1, 2, 2, 2, 6, 6, 6, 2, 1, 6, 6, 6, 1, 1, 9, 1, 2, 2, 6, 2, 1, 1, 7, 1, 6, 6, 10, 1, 1, 1, 2, 1, 1, 2, 4, 6, 6, 6, 10, 4, 6, 6, 10, 2, 2, 5, 6, 2, 10, 6, 2, 4, 6, 2, 10, 2, 2, 1, 6, 1, 1, 6, 2, 6, 4, 1, 6, 1, 1, 10, 1, 2, 2, 10, 6, 6, 6, 6, 2, 2, 1, 6, 10, 6, 1, 1, 6, 2, 10, 6, 4, 10, 1, 10, 6, 10, 1, 1, 10, 1, 10, 2, 2, 10, 1, 10, 1, 1, 6, 1, 2, 2, 10, 10, 6, 10, 2, 1, 6, 6, 2, 1, 1, 6, 10, 1, 10, 2, 6, 6, 10, 6, 6, 6, 1, 6, 10, 1, 10, 1, 10, 6, 10, 6, 2, 2, 1, 6, 2, 2, 1, 1, 1, 2, 6, 2, 10, 10, 6, 6, 10, 10, 10, 2, 2, 6, 0, 10, 10, 0, 1, 6, 2, 2, 6, 2, 2, 6, 2, 2, 10, 2, 6, 10, 10, 6, 2, 6, 2, 2, 1, 6, 10, 9, 10, 10, 10, 10, 2, 2, 4, 1, 10, 10, 6, 6, 6, 10, 2, 6, 10, 1, 6, 6, 6, 1, 6, 2, 2, 6, 2, 6, 10, 10, 2, 2, 6, 10, 2, 6, 2, 6, 2, 10, 1, 2, 6, 10, 6, 6, 2, 6, 1, 6, 1, 6, 6, 2, 2, 2, 1, 1, 2, 6, 1, 1, 1, 2, 1, 10, 10, 6, 1, 6, 1, 10, 10, 1, 6, 1, 1, 6, 6, 6, 1, 10, 6, 6, 6, 9, 1, 2, 10, 6, 10, 6, 2, 6, 1, 1, 2, 10, 2, 10, 2, 6, 2, 2, 2, 10, 1, 6, 10, 1, 6, 2, 1, 1, 10, 1, 6, 1, 6, 10, 5, 2, 1, 6, 5, 1, 1, 2, 2, 10, 10, 6, 0, 6, 2, 2, 6, 9, 10, 10, 10, 6, 2, 10, 10, 6, 1, 5, 6, 6, 1, 10, 6, 10, 2, 6, 6, 10, 6, 2, 2, 10, 10, 2, 1, 2, 1, 10, 1, 6, 10, 6, 2, 2, 6, 10, 2, 10, 6, 2, 6, 6, 6, 10, 10, 2, 10, 1, 1, 10, 10, 6, 2, 10, 1, 5, 1, 6, 2, 1, 6, 6, 6, 2, 1, 0, 6, 2, 10, 1, 10, 6, 6, 2, 10, 2, 10, 6, 2, 6, 2, 1, 2, 2, 1, 6, 6, 2, 10, 6, 10, 1, 6, 1, 6, 1, 1, 10, 10, 10, 1, 6, 2, 1, 6, 10, 2, 10, 2, 2, 5, 2, 10, 2, 2, 10, 6, 2, 6, 1, 2, 6, 6, 6, 6, 6, 1, 2, 10, 1, 1, 6, 10, 0, 6, 2, 1, 6, 10, 6, 1, 2, 1, 1, 2, 6, 1, 6, 2, 6, 10, 10, 6, 6, 1, 6, 6, 6, 2, 6, 6, 2, 2, 6, 1, 1, 10, 10, 2, 10, 2, 1, 2, 2, 6, 6, 10, 2, 10, 10, 2, 1, 6, 1, 1, 1, 6, 6, 10, 1, 6, 1, 1, 6, 6, 6, 1, 10, 6, 9, 6, 1, 2, 10, 2, 2, 1, 0, 2, 1, 10, 1, 2, 5, 10, 6, 2, 2, 6, 9, 6, 6, 6, 6, 1, 1, 6, 6, 2, 5, 1, 10, 0, 6, 10, 10, 10, 1, 6, 2, 4, 10, 10, 10, 10, 10, 10, 10, 1, 10, 6, 10, 6, 2, 2, 2, 6, 1, 2, 10, 10, 6, 2, 6, 6, 1, 50, 2, 1, 1, 10, 2, 10, 1, 6, 10, 2, 6, 2, 10, 2, 2, 2, 10, 2, 6, 10, 6, 6, 1, 10, 2, 10, 2, 6, 10, 10, 1, 6, 6, 1, 10, 1, 10, 2, 1, 6, 10, 1, 10, 6, 2, 2, 1, 10, 2, 6, 2, 2, 1, 6, 6, 2, 2, 2, 6, 9, 6, 10, 2, 1, 1, 1, 10, 2, 2, 1, 2, 6, 10, 1, 2, 2, 1, 1, 1, 10, 6, 6, 6, 6, 1, 1, 2, 10, 6, 1, 10, 2, 2, 6, 6, 2, 10, 1, 6, 1, 1, 10, 1, 6, 10, 10, 10, 1, 6, 1, 10, 2, 10, 6, 1, 1, 1, 10, 2, 1, 2, 1, 1, 1, 1, 2, 10, 10, 2, 6, 10, 2, 1, 6, 10, 5, 10, 1, 1, 1, 6, 2, 6, 10, 1, 10, 6, 2, 6, 6, 6, 6, 6, 1, 6, 10, 1, 2, 6, 1, 2, 6, 4, 2, 6, 1, 10, 10, 1, 6, 6, 2, 2, 1, 1, 6, 10, 1, 2, 2, 2, 6, 2, 10, 6, 1, 6, 1, 1, 6, 2, 0, 6, 10, 2, 40, 10, 1, 6, 2, 6, 2, 6, 6, 1, 6, 2, 6, 2, 1, 6, 6, 6, 1, 6, 1, 1, 6, 6, 6, 10, 10, 6, 2, 2, 2, 1, 6, 2, 6, 2, 10, 1, 10, 1, 1, 2, 10, 6, 2, 6, 2, 10, 2, 6, 1, 6, 1, 10, 10, 1, 9, 6, 6, 10, 6, 2, 9, 6, 6, 6, 10, 10, 2, 10, 6, 10, 1, 10, 10, 2, 2, 2, 6, 2, 10, 1, 2, 6, 10, 2, 10, 10, 1, 4, 1, 6, 2, 6, 10, 1, 10, 4, 6, 2, 1, 2, 6, 6, 10, 2, 1, 2, 6, 6, 1, 6, 6, 2, 6, 2, 1, 6, 2, 6, 10, 10, 2, 4, 10, 2, 1, 1, 10, 10, 1, 1, 10, 2, 2, 6, 10, 2, 6, 6, 10, 1, 2, 1, 1, 1, 6, 2, 6, 10, 10, 6, 10, 2, 2, 2, 10, 10, 2, 10, 2, 6, 10, 2, 2, 6, 10, 6, 6, 2, 10, 1, 6, 6, 6, 1, 1, 6, 2, 6, 6, 2, 2, 6, 0, 1, 10, 1, 2, 10, 2, 10, 2, 1, 2, 6, 10, 1, 6, 1, 1, 6, 1, 1, 2, 6, 1, 10, 10, 1, 2, 6, 2, 2, 6, 6, 6, 6, 2, 1, 1, 6, 6, 6, 2, 6, 1, 6, 6, 2, 10, 1, 2, 10, 1, 10, 5, 10, 10, 10, 10, 1, 2, 9, 1, 1, 1, 10, 2, 6, 6, 10, 10, 2, 1, 2, 4, 10, 10, 2, 9, 1, 2, 10, 6, 10, 10, 0, 6, 6, 2, 10, 10, 10, 2, 2, 1, 2, 10, 10, 6, 6, 2, 1, 10, 2, 6, 1, 1, 6, 10, 5, 1, 10, 2, 10, 1, 1, 1, 1, 6, 10, 2, 6, 1, 2, 1, 6, 2, 1, 1, 2, 10, 6, 2, 10, 1, 1, 10, 10, 1, 1, 6, 6, 10, 10, 1, 2, 1, 6, 10, 1, 10, 1, 1, 10, 10, 2, 2, 1, 2, 2, 10, 2, 2, 6, 6, 1, 10, 2, 1, 1, 2, 10, 6, 6, 1, 6, 10, 10, 6, 6, 6, 1, 1, 10, 2, 10, 6, 1, 6, 6, 1, 6, 10, 6, 2, 6, 1, 1, 2, 2, 6, 6, 1, 1, 6, 6, 1, 2, 10, 2, 6, 2, 10, 6, 10, 2, 1, 6, 6, 2, 1, 10, 1, 6, 6, 9, 2, 6, 2, 10, 10, 10, 2, 6, 2, 10, 6, 2, 2, 1, 9, 9, 6, 6, 1, 1, 1, 2, 6, 1, 2, 2, 10, 6, 1, 1, 1, 1, 6, 2, 6, 2, 10, 1, 6, 10, 2, 1, 2, 10, 2, 1, 6, 10, 6, 1, 10, 10, 6, 10, 1, 2, 1, 6, 6, 10, 6, 2, 2, 6, 2, 6, 1, 10, 10, 2, 10, 2, 1, 10, 6, 1, 6, 2, 1, 10, 10, 1, 1, 10, 1, 1, 1, 6, 10, 6, 10, 6, 9, 6, 4, 10, 10, 10, 10, 6, 2, 2, 1, 2, 6, 2, 6, 2, 6, 1, 2, 6, 2, 6, 10, 1, 10, 6, 10, 10, 6, 6, 5, 6, 1, 1, 10, 6, 2, 2, 1, 1, 6, 1, 10, 6, 10, 1, 10, 2, 1, 6, 1, 1, 2, 10, 1, 6, 1, 1, 1, 10, 6, 2, 2, 2, 10, 4, 6, 2, 10, 9, 10, 1, 6, 2, 2, 6, 6, 6, 2, 2, 2, 2, 9, 10, 2, 2, 6, 6, 2, 1, 10, 6, 6, 10, 2, 1, 2, 10, 9, 1, 6, 2, 10, 10, 1, 6, 6, 2, 2, 1, 10, 1, 1, 6, 2, 6, 1, 6, 10, 10, 6, 1, 9, 6, 2, 9, 10, 2, 2, 2, 1, 2, 6, 1, 6, 1, 6, 2, 2, 6, 10, 10, 6, 1, 6, 6, 1, 10, 10, 2, 10, 10, 6, 2, 2, 2, 6, 10, 1, 10, 10, 2, 4, 6, 6, 6, 4, 6, 2, 1, 10, 2, 2, 1, 2, 10, 1, 10, 10, 1, 10, 6, 6, 1, 10, 2, 2, 6, 10, 10, 10, 2, 0, 2, 10, 10, 10, 2, 6, 2, 6, 6, 2, 0, 1, 1, 2, 4, 10, 10, 6, 10, 2, 1, 6, 9, 2, 6, 1, 10, 6, 1, 10, 6, 6, 6, 2, 1, 6, 1, 2, 4, 6, 5, 6, 10, 10, 6, 2, 1, 6, 2, 6, 1, 6, 6, 6, 1, 10, 2, 0, 2, 4, 2, 1, 2, 10, 1, 1, 2, 10, 10, 1, 10, 1, 6, 1, 1, 6, 6, 10, 2, 6, 1, 2, 10, 6, 2, 10, 2, 10, 6, 6, 10, 2, 5, 6, 4, 2, 0, 6, 10, 1, 6, 2, 10, 2, 2, 6, 2, 1, 10, 6, 6, 6, 10, 6, 1, 6, 10, 1, 6, 6, 6, 6, 6, 4, 6, 10, 9, 6, 1, 1, 6, 10, 2, 1, 1, 2, 6, 10, 10, 1, 10, 1, 10, 10, 6, 5, 2, 2, 6, 10, 9, 10, 10, 6, 1, 4, 2, 2, 1, 2, 10, 6, 6, 1, 1, 2, 6, 1, 6, 2, 1, 6, 6, 10, 1, 2, 2, 6, 1, 6, 10, 1, 2, 2, 2, 2, 2, 6, 6, 10, 6, 6, 1, 6, 6, 6, 9, 6, 10, 6, 1, 6, 2, 1, 6, 6, 10, 6, 6, 10, 6, 1, 10, 2, 5, 1, 1, 1, 6, 1, 2, 6, 2, 6, 2, 2, 6, 6, 2, 10, 1, 1, 2, 1, 1, 6, 6, 10, 1, 10, 1, 10, 1, 10, 2, 6, 2, 1, 2, 1, 2, 10, 6, 2, 10, 6, 6, 10, 1, 1, 10, 10, 1, 6, 6, 6, 6, 1, 2, 1, 10, 6, 2, 0, 2, 10, 2, 10, 1, 10, 1, 10, 6, 10, 6, 2, 6, 2, 2, 1, 10, 2, 2, 10, 1, 1, 1, 10, 1, 6, 10, 2, 6, 2, 1, 6, 10, 10, 2, 2, 2, 1, 10, 6, 6, 1, 2, 1, 6, 10, 1, 10, 1, 6, 2, 10, 6, 6, 6, 10, 6, 10, 10, 6, 6, 2, 10, 1, 1, 1, 6, 1, 10, 2, 1, 6, 2, 1, 2, 10, 6, 10, 10, 1, 6, 10, 1, 1, 1, 10, 1, 6, 6, 10, 6, 2, 10, 1, 6, 1, 10, 1, 2, 6, 2, 2, 2, 6, 6, 2, 10, 2, 2, 6, 6, 6, 2, 10, 10, 2, 9, 1, 10, 1, 2, 1, 6, 6, 1, 1, 1, 6, 1, 2, 10, 6, 10, 1, 1, 6, 10, 10, 2, 10, 1, 6, 10, 2, 1, 1, 1, 2, 5, 10, 10, 6, 1, 1, 10, 10, 10, 6, 1, 2, 6, 10, 2, 6, 10, 6, 6, 2, 2, 10, 10, 1, 1, 1, 2, 6, 6, 2, 2, 1, 2, 6, 2, 2, 1, 1, 6, 2, 0, 2, 2, 2, 2, 1, 5, 1, 2, 1, 2, 10, 6, 10, 6, 6, 1, 6, 6, 10, 6, 10, 10, 1, 1, 1, 1, 10, 6, 10, 6, 10, 6, 1, 10, 10, 1, 1, 1, 2, 5, 1, 6, 6, 2, 10, 10, 4, 1, 1, 6, 0, 9, 6, 10, 6, 10, 1, 1, 4, 10, 2, 6, 2, 10, 1, 10, 2, 1, 10, 2, 1, 2, 1, 1, 10, 10, 1, 1, 2, 6, 2, 1, 1, 6, 6, 1, 1, 1, 1, 10, 2, 6, 1, 2, 1, 6, 10, 1, 10, 4, 6, 10, 6, 6, 1, 6, 6, 2, 0, 2, 1, 6, 10, 6, 1, 2, 6, 10, 2, 6, 10, 10, 10, 10, 2, 10, 6, 10, 2, 10, 1, 6, 10, 6, 1, 10, 10, 2, 2, 6, 2, 6, 2, 1, 10, 6, 10, 10, 10, 2, 6, 2, 10, 2, 1, 2, 10, 1, 4, 6, 2, 6, 6, 10, 6, 1, 6, 10, 10, 2, 2, 6, 10, 1, 10, 10, 6, 10, 1, 6, 0, 6, 10, 6, 6, 1, 10, 1, 2, 1, 2, 10, 10, 2, 6, 10, 2, 1, 9, 1, 2, 1, 10, 6, 10, 6, 1, 2, 1, 2, 10, 1, 10, 2, 1, 6, 6, 2, 6, 2, 1, 1, 2, 6, 10, 10, 10, 2, 6, 1, 10, 10, 6, 2, 6, 10, 1, 2, 1, 10, 6, 1, 10, 6, 6, 6, 10, 2, 6, 5, 10, 1, 2, 6, 2, 2, 6, 6, 2, 5, 2, 10, 6, 6, 6, 1, 0, 2, 10, 10, 6, 2, 10, 2, 6, 1, 2, 10, 10, 10, 2, 0, 1, 1, 1, 1, 2, 6, 2, 2, 10, 2, 1, 6, 2, 6, 1, 1, 2, 10, 10, 1, 1, 2, 1, 2, 7, 6, 10, 10, 10, 1, 10, 10, 1, 6, 6, 6, 10, 2, 6, 10, 1, 10, 10, 1, 9, 10, 1, 10, 2, 0, 1, 10, 2, 1, 1, 10, 6, 1, 2, 2, 10, 1, 2, 10, 6, 1, 0, 4, 1, 1, 2, 6, 6, 10, 2, 6, 6, 6, 10, 6, 2, 1, 1, 2, 1, 1, 1, 10, 1, 2, 10, 2, 2, 2, 2, 10, 6, 10, 2, 6, 6, 10, 1, 1, 10, 10, 1, 1, 2, 10, 1, 1, 1, 6, 10, 2, 10, 10, 2, 6, 2, 6, 10, 2, 10, 2, 1, 10, 10, 1, 2, 1, 10, 10, 6, 0, 2, 6, 2, 10, 2, 6, 6, 10, 6, 2, 1, 1, 2, 2, 2, 6, 2, 6, 1, 1, 10, 1, 6, 10, 4, 2, 6, 6, 1, 6, 1, 1, 6, 10, 10, 6, 1, 1, 1, 6, 1, 2, 1, 2, 6, 2, 6, 1, 6, 2, 1, 10, 6, 10, 10, 10, 4, 6, 6, 6, 10, 10, 6, 10, 6, 1, 1, 6, 10, 5, 10, 10, 1, 6, 2, 2, 2, 1, 2, 10, 1, 6, 10, 1, 2, 6, 2, 4, 6, 5, 1, 2, 2, 2, 6, 10, 10, 1, 1, 2, 10, 1, 6, 1, 2, 10, 10, 6, 0, 10, 6, 1, 6, 2, 10, 1, 1, 6, 6, 1, 1, 2, 2, 1, 10, 1, 2, 10, 1, 1, 2, 2, 1, 1, 6, 1, 1, 1, 10, 6, 6, 2, 9, 10, 10, 6, 10, 1, 2, 10, 1, 10, 10, 1, 1, 6, 1, 6, 1, 6, 10, 2, 6, 2, 2, 6, 10, 10, 6, 10, 6, 1, 2, 2, 0, 6, 6, 2, 1, 1, 2, 6, 10, 10, 2, 1, 6, 6, 2, 2, 2, 10, 10, 6, 1, 1, 6, 1, 10, 6, 1, 6, 10, 1, 1, 6, 6, 10, 10, 10, 10, 1, 10, 10, 2, 6, 6, 1, 2, 10, 2, 6, 4, 10, 2, 6, 2, 1, 10, 1, 10, 1, 6, 6, 10, 2, 10, 1, 1, 2, 2, 1, 6, 1, 6, 1, 6, 1, 10, 6, 6, 1, 1, 10, 1, 2, 1, 2, 6, 2, 1, 10, 10, 6, 6, 1, 6, 10, 6, 1, 1, 6, 6, 1, 2, 1, 1, 1, 10, 6, 2, 6, 10, 2, 6, 2, 10, 2, 2, 2, 10, 2, 2, 10, 2, 1, 10, 10, 6, 6, 10, 1, 6, 1, 4, 2, 1, 6, 6, 10, 6, 10, 1, 10, 10, 2, 2, 2, 1, 1, 6, 6, 6, 10, 1, 1, 10, 6, 2, 2, 2, 1, 10, 6, 6, 6, 10, 6, 5, 2, 2, 6, 10, 1, 6, 2, 2, 10, 6, 10, 10, 2, 2, 10, 1, 10, 10, 10, 10, 10, 10, 1, 1, 6, 6, 2, 1, 10, 10, 6, 10, 1, 6, 10, 10, 10, 1, 2, 10, 6, 0, 4, 6, 6, 2, 10, 1, 6, 10, 40, 6, 1, 2, 2, 1, 6, 2, 1, 1, 9, 2, 10, 10, 2, 10, 6, 1, 2, 1, 10, 10, 10, 2, 6, 6, 10, 10, 1, 1, 6, 6, 2, 2, 6, 1, 1, 10, 6, 1, 2, 5, 10, 6, 6, 1, 1, 1, 6, 1, 10, 6, 10, 6, 4, 2, 2, 2, 1, 10, 2, 1, 10, 1, 1, 10, 2, 6, 2, 6, 10, 10, 2, 6, 10, 2, 6, 1, 6, 2, 1, 10, 1, 6, 10, 2, 10, 10, 10, 2, 10, 2, 10, 6, 0, 2, 2, 6, 2, 2, 1, 1, 1, 10, 1, 2, 1, 1, 10, 6, 0, 10, 2, 2, 10, 10, 1, 10, 2, 2, 2, 2, 6, 10, 1, 10, 1, 1, 6, 10, 6, 1, 10, 2, 6, 6, 1, 6, 10, 6, 1, 4, 6, 2, 10, 10, 6, 1, 50, 2, 6, 6, 1, 6, 6, 1, 6, 6, 1, 10, 10, 2, 2, 2, 2, 10, 10, 6, 2, 1, 10, 6, 10, 2, 1, 10, 6, 10, 1, 2, 2, 1, 2, 0, 10, 6, 10, 2, 2, 1, 1, 1, 10, 10, 6, 2, 6, 10, 1, 2, 10, 2, 10, 6, 6, 10, 1, 6, 1, 6, 10, 10, 2, 6, 6, 9, 1, 1, 1, 1, 10, 6, 2, 10, 10, 10, 2, 10, 6, 2, 1, 6, 6, 6, 10, 1, 10, 6, 6, 10, 10, 6, 10, 1, 6, 1, 2, 1, 6, 10, 1, 2, 10, 6, 4, 10, 1, 6, 6, 10, 1, 2, 6, 10, 1, 2, 2, 6, 10, 6, 10, 6, 1, 6, 2, 2, 6, 2, 6, 0, 2, 1, 10, 2, 6, 2, 2, 1, 6, 1, 5, 6, 6, 1, 10, 6, 6, 1, 10, 6, 2, 6, 6, 10, 10, 2, 6, 1, 6, 1, 2, 1, 1, 1, 1, 10, 1, 2, 1, 6, 1, 2, 6, 6, 1, 10, 1, 10, 6, 1, 1, 2, 6, 2, 2, 2, 10, 6, 2, 10, 10, 10, 6, 1, 2, 10, 2, 6, 2, 6, 10, 6, 10, 6, 5, 6, 2, 9, 2, 1, 1, 1, 10, 2, 10, 10, 1, 10, 2, 10, 2, 2, 9, 1, 10, 6, 10, 1, 2, 6, 1, 6, 10, 2, 10, 1, 1, 6, 6, 6, 10, 10, 6, 10, 10, 10, 10, 1, 2, 1, 10, 2, 1, 2, 1, 2, 1, 6, 6, 10, 6, 6, 1, 10, 1, 6, 10, 6, 1, 6, 2, 10, 10, 1, 6, 1, 6, 6, 2, 10, 10, 10, 6, 10, 2, 10, 9, 10, 10, 10, 6, 1, 6, 6, 0, 10, 1, 10, 1, 10, 2, 1, 10, 2, 2, 10, 2, 6, 2, 10, 1, 6, 6, 1, 6, 1, 10, 2, 10, 10, 2, 1, 1, 10, 10, 10, 1, 10, 10, 2, 10, 10, 6, 2, 2, 10, 1, 1, 6, 2, 6, 2, 6, 2, 10, 1, 2, 2, 2, 1, 6, 8, 2, 1, 1, 10, 1, 2, 1, 6, 2, 1, 6, 2, 6, 1, 10, 1, 1, 10, 1, 1, 6, 2, 2, 0, 1, 10, 10, 1, 1, 1, 1, 2, 10, 2, 10, 1, 2, 6, 1, 2, 10, 10, 2, 10, 2, 1, 6, 1, 6, 6, 6, 60, 1, 2, 10, 10, 10, 2, 2, 1, 1, 1, 10, 6, 4, 6, 0, 10, 10, 1, 10, 9, 10, 10, 10, 6, 2, 6, 0, 2, 10, 1, 2, 1, 1, 10, 2, 1, 2, 1, 1, 10, 6, 10, 10, 10, 1, 2, 2, 1, 6, 6, 6, 10, 10, 2, 1, 1, 1, 2, 10, 6, 1, 2, 1, 10, 10, 1, 2, 6, 4, 1, 1, 1, 1, 1, 5, 2, 1, 10, 2, 1, 6, 10, 10, 6, 1, 10, 2, 2, 10, 1, 1, 6, 1, 2, 2, 1, 1, 2, 6, 2, 6, 10, 10, 1, 1, 2, 10, 1, 1, 2, 2, 1, 10, 2, 1, 10, 10, 10, 10, 1, 10, 6, 2, 1, 2, 1, 6, 6, 2, 2, 1, 1, 6, 1, 1, 1, 2, 6, 2, 6, 6, 6, 1, 6, 2, 9, 1, 9, 6, 1, 2, 10, 1, 6, 6, 1, 6, 40, 1, 6, 1, 6, 10, 2, 10, 6, 6, 6, 2, 10, 2, 2, 1, 2, 1, 2, 10, 1, 6, 6, 1, 6, 10, 1, 1, 2, 6, 1, 1, 6, 10, 10, 2, 2, 2, 6, 6, 2, 1, 10, 6, 6, 1, 9, 6, 10, 1, 2, 1, 1, 2, 1, 6, 2, 10, 10, 6, 10, 1, 10, 2, 2, 6, 10, 6, 1, 6, 10, 1, 10, 10, 2, 10, 2, 6, 6, 6, 2, 4, 10, 6, 6, 6, 2, 10, 1, 6, 1, 10, 6, 6, 1, 6, 10, 6, 1, 2, 10, 2, 2, 10, 2, 10, 1, 2, 6, 1, 9, 6, 6, 2, 6, 2, 1, 6, 10, 2, 1, 10, 1, 10, 10, 10, 1, 6, 2, 1, 1, 2, 1, 2, 6, 6, 1, 10, 2, 6, 10, 10, 2, 10, 1, 1, 10, 2, 10, 6, 10, 1, 1, 1, 10, 1, 1, 2, 6, 1, 1, 2, 1, 1, 2, 6, 2, 5, 10, 1, 2, 6, 1, 2, 6, 6, 1, 1, 2, 6, 10, 6, 1, 1, 2, 6, 1, 2, 2, 2, 1, 2, 10, 6, 6, 10, 2, 10, 2, 1, 10, 1, 10, 1, 10, 6, 6, 1, 1, 1, 10, 10, 10, 2, 10, 10, 2, 8, 10, 2, 1, 2, 1, 1, 6, 6, 6, 6, 2, 6, 10, 6, 2, 10, 6, 6, 2, 2, 10, 1, 1, 10, 6, 10, 2, 1, 2, 10, 1, 1, 1, 2, 10, 6, 1, 2, 1, 10, 6, 10, 2, 2, 1, 1, 1, 2, 10, 10, 5, 2, 10, 10, 10, 6, 6, 1, 10, 1, 2, 1, 6, 10, 1, 10, 1, 10, 6, 10, 2, 2, 2, 1, 2, 2, 1, 10, 1, 9, 2, 2, 1, 1, 6, 1, 1, 1, 2, 10, 6, 1, 2, 6, 6, 2, 2, 1, 2, 4, 9, 10, 10, 10, 0, 1, 6, 10, 6, 2, 1, 1, 10, 6, 1, 10, 2, 1, 2, 2, 1, 10, 1, 10, 6, 6, 10, 6, 2, 6, 1, 6, 6, 10, 6, 6, 10, 1, 1, 1, 6, 1, 1, 9, 6, 1, 2, 1, 1, 2, 2, 1, 10, 10, 6, 2, 10, 6, 6, 1, 10, 6, 6, 1, 6, 10, 1, 1, 1, 6, 1, 10, 6, 10, 6, 1, 10, 1, 2, 10, 1, 1, 6, 1, 2, 10, 2, 2, 10, 10, 1, 10, 10, 2, 10, 2, 6, 2, 10, 1, 10, 2, 1, 1, 10, 2, 10, 6, 6, 10, 1, 2, 1, 10, 10, 2, 6, 6, 6, 1, 6, 6, 2, 0, 6, 10, 6, 4, 1, 2, 2, 6, 10, 1, 1, 6, 2, 6, 10, 6, 6, 7, 1, 10, 6, 0, 6, 6, 10, 6, 2, 6, 1, 10, 1, 2, 2, 1, 1, 10, 10, 5, 2, 1, 6, 10, 6, 10, 2, 2, 10, 1, 1, 2, 2, 2, 1, 5, 10, 2, 10, 6, 1, 2, 1, 10, 10, 10, 2, 2, 6, 2, 1, 2, 10, 10, 10, 6, 10, 1, 1, 2, 5, 6, 10, 10, 10, 10, 2, 10, 2, 1, 10, 10, 1, 1, 6, 2, 10, 4, 10, 2, 2, 9, 1, 4, 1, 6, 10, 6, 10, 10, 6, 2, 6, 10, 1, 2, 2, 50, 4, 2, 10, 10, 1, 10, 4, 0, 1, 6, 10, 6, 1, 1, 6, 2, 6, 10, 1, 2, 1, 1, 6, 9, 6, 10, 6, 10, 2, 1, 10, 1, 1, 2, 1, 10, 10, 6, 2, 6, 6, 1, 2, 10, 2, 2, 10, 2, 1, 1, 10, 1, 6, 6, 10, 1, 0, 6, 1, 6, 10, 1, 2, 0, 6, 10, 1, 10, 10, 2, 6, 1, 10, 6, 6, 2, 1, 2, 2, 6, 1, 10, 1, 6, 2, 1, 1, 10, 6, 6, 6, 1, 10, 2, 1, 10, 10, 2, 2, 2, 6, 1, 6, 10, 1, 10, 10, 6, 1, 6, 10, 2, 10, 10, 6, 6, 2, 10, 6, 6, 2, 5, 1, 1, 6, 2, 2, 2, 6, 1, 1, 1, 2, 6, 10, 1, 6, 2, 10, 2, 6, 10, 1, 1, 10, 6, 2, 10, 2, 10, 2, 6, 1, 6, 1, 5, 4, 2, 6, 6, 10, 10, 6, 1, 6, 1, 1, 6, 10, 2, 6, 10, 2, 6, 1, 6, 1, 6, 1, 2, 2, 1, 6, 6, 10, 6, 1, 1, 1, 1, 2, 1, 1, 1, 10, 2, 6, 1, 6, 10, 1, 10, 6, 2, 2, 10, 2, 9, 6, 2, 10, 10, 6, 6, 10, 2, 2, 9, 1, 6, 1, 6, 6, 10, 2, 1, 1, 2, 6, 2, 2, 2, 1, 1, 1, 1, 10, 10, 1, 1, 6, 6, 10, 10, 10, 6, 10, 2, 10, 1, 6, 1, 10, 1, 1, 1, 1, 10, 6, 10, 2, 1, 6, 2, 10, 10, 6, 6, 10, 4, 10, 10, 2, 10, 10, 1, 2, 1, 1, 10, 2, 1, 6, 1, 1, 6, 6, 10, 2, 10, 2, 6, 10, 5, 6, 2, 2, 1, 6, 2, 6, 6, 2, 2, 1, 2, 2, 10, 6, 6, 2, 5, 1, 1, 2, 10, 6, 10, 1, 6, 1, 2, 6, 1, 6, 6, 10, 1, 6, 10, 4, 6, 2, 6, 5, 10, 10, 6, 1, 10, 6, 10, 6, 1, 10, 10, 10, 6, 1, 1, 6, 10, 6, 1, 1, 10, 2, 1, 2, 2, 2, 9, 2, 1, 1, 1, 6, 6, 1, 2, 1, 10, 2, 1, 6, 6, 2, 10, 6, 6, 10, 1, 1, 1, 1, 1, 10, 10, 1, 1, 10, 2, 10, 10, 2, 10, 10, 1, 10, 2, 1, 10, 10, 10, 10, 1, 10, 1, 2, 6, 1, 2, 6, 1, 6, 1, 1, 9, 1, 6, 1, 2, 1, 1, 10, 1, 1, 6, 2, 10, 2, 6, 6, 2, 10, 0, 10, 10, 2, 2, 10, 6, 1, 2, 2, 6, 6, 1, 1, 6, 1, 1, 2, 10, 1, 6, 0, 10, 6, 1, 1, 10, 6, 1, 2, 1, 10, 1, 10, 10, 2, 1, 1, 1, 1, 10, 10, 1, 2, 1, 10, 1, 6, 2, 10, 2, 1, 10, 2, 10, 10, 10, 2, 1, 10, 10, 10, 10, 2, 6, 10, 1, 6, 6, 10, 6, 6, 2, 6, 10, 6, 5, 2, 2, 6, 10, 1, 1, 10, 2, 2, 10, 2, 10, 6, 10, 2, 10, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 10, 2, 1, 6, 10, 10, 1, 10, 6, 2, 2, 2, 1, 6, 6, 10, 6, 6, 6, 10, 10, 6, 2, 2, 1, 6, 2, 10, 6, 2, 1, 6, 6, 1, 1, 1, 1, 4, 0, 10, 2, 10, 10, 6, 6, 6, 6, 9, 6, 6, 1, 1, 4, 10, 1, 10, 1, 1, 2, 1, 10, 6, 2, 0, 2, 10, 1, 1, 10, 6, 2, 1, 6, 10, 6, 10, 2, 6, 6, 1, 4, 1, 10, 6, 0, 1, 1, 1, 1, 10, 10, 1, 10, 1, 6, 1, 1, 1, 1, 6, 6, 6, 1, 6, 6, 6, 10, 6, 1, 1, 1, 6, 10, 6, 10, 1, 10, 2, 10, 10, 10, 2, 6, 6, 2, 10, 6, 6, 10, 10, 1, 6, 6, 60, 1, 2, 10, 6, 2, 2, 1, 10, 6, 1, 6, 10, 6, 10, 2, 2, 10, 2, 10, 2, 6, 2, 6, 6, 6, 1, 1, 2, 6, 10, 6, 6, 6, 6, 2, 10, 10, 10, 10, 6, 2, 6, 2, 1, 2, 6, 9, 6, 6, 1, 2, 9, 2, 10, 6, 2, 2, 6, 2, 6, 6, 2, 6, 2, 6, 10, 10, 2, 6, 6, 6, 1, 2, 10, 10, 1, 2, 10, 10, 2, 6, 1, 10, 6, 1, 1, 6, 2, 5, 6, 2, 6, 1, 6, 2, 2, 6, 10, 2, 1, 6, 1, 1, 1, 1, 1, 2, 10, 2, 10, 10, 1, 6, 1, 6, 2, 6, 10, 10, 6, 6, 6, 2, 1, 10, 2, 1, 2, 1, 1, 2, 10, 10, 6, 2, 6, 2, 1, 1, 6, 5, 6, 6, 1, 2, 10, 10, 2, 2, 2, 2, 2, 2, 10, 2, 1, 6, 1, 2, 2, 2, 6, 6, 10, 10, 1, 10, 0, 6, 1, 2, 6, 10, 1, 10, 6, 6, 1, 2, 5, 10, 10, 9, 10, 6, 2, 2, 6, 6, 2, 10, 6, 6, 6, 2, 6, 6, 10, 1, 6, 6, 2, 10, 6, 1, 1, 6, 1, 6, 0, 6, 6, 1, 10, 9, 6, 1, 6, 2, 10, 6, 10, 6, 1, 1, 2, 2, 6, 2, 10, 2, 4, 6, 1, 2, 10, 1, 6, 2, 6, 6, 6, 6, 10, 2, 10, 10, 1, 6, 2, 6, 9, 6, 0, 1, 1, 1, 1, 6, 2, 10, 6, 10, 10, 1, 6, 6, 6, 10, 1, 2, 6, 6, 10, 2, 1, 1, 2, 6, 1, 1, 6, 6, 1, 10, 10, 10, 2, 2, 2, 10, 6, 6, 10, 2, 1, 6, 4, 6, 6, 1, 6, 2, 10, 1, 1, 1, 1, 10, 10, 6, 1, 2, 10, 10, 6, 6, 10, 5, 2, 1, 6, 10, 1, 6, 1, 1, 2, 10, 0, 9, 6, 2, 1, 6, 2, 6, 10, 6, 6, 10, 10, 2, 10, 6, 6, 1, 2, 1, 10, 4, 2, 1, 6, 6, 10, 6, 1, 1, 1, 10, 6, 1, 1, 6, 2, 2, 6, 1, 2, 6, 6, 2, 2, 1, 1, 2, 2, 2, 10, 10, 1, 6, 6, 4, 10, 6, 1, 6, 10, 10, 10, 6, 5, 2, 1, 10, 10, 6, 10, 2, 1, 2, 2, 2, 6, 10, 2, 2, 9, 6, 10, 1, 10, 10, 6, 1, 2, 1, 10, 2, 1, 6, 6, 1, 2, 1, 10, 1, 2, 6, 6, 2, 2, 10, 4, 10, 2, 1, 1, 6, 6, 1, 10, 2, 2, 1, 6, 4, 1, 2, 6, 1, 10, 10, 2, 2, 10, 10, 10, 10, 0, 6, 2, 2, 2, 1, 6, 6, 1, 1, 1, 1, 6, 1, 1, 1, 10, 1, 10, 6, 2, 6, 10, 1, 6, 2, 9, 6, 6, 2, 6, 10, 10, 10, 6, 6, 2, 10, 1, 2, 2, 6, 6, 6, 1, 1, 10, 10, 2, 10, 10, 2, 10, 2, 6, 2, 10, 6, 1, 10, 1, 6, 1, 5, 2, 1, 6, 6, 1, 6, 1, 6, 2, 0, 1, 1, 1, 1, 10, 6, 2, 2, 2, 6, 1, 6, 6, 6, 2, 6, 1, 6, 2, 6, 5, 10, 1, 1, 6, 6, 10, 10, 2, 10, 6, 6, 10, 6, 10, 10, 10, 6, 10, 2, 6, 1, 1, 1, 6, 6, 10, 2, 10, 1, 6, 10, 6, 2, 10, 6, 10, 10, 10, 6, 1, 1, 1, 10, 10, 10, 10, 1, 10, 1, 1, 2, 2, 10, 2, 9, 6, 1, 10, 6, 2, 2, 1, 2, 1, 2, 6, 6, 2, 10, 1, 1, 9, 2, 2, 10, 1, 10, 2, 6, 10, 1, 2, 10, 10, 1, 2, 1, 10, 6, 6, 10, 2, 1, 2, 10, 10, 2, 1, 6, 10, 1, 9, 10, 2, 6, 10, 5, 6, 1, 2, 10, 1, 6, 2, 1, 2, 6, 6, 10, 10, 2, 10, 2, 6, 9, 2, 1, 10, 10, 6, 1, 10, 1, 2, 6, 6, 1, 6, 1, 2, 2, 10, 10, 10, 2, 6, 1, 2, 6, 6, 1, 1, 1, 2, 2, 2, 1, 2, 10, 1, 10, 1, 6, 2, 2, 1, 10, 2, 6, 10, 10, 6, 6, 1, 1, 1, 10, 2, 10, 6, 2, 6, 1, 6, 10, 6, 1, 1, 2, 6, 10, 6, 10, 10, 2, 10, 6, 10, 10, 6, 9, 10, 2, 6, 1, 1, 2, 2, 10, 0, 6, 1, 2, 10, 10, 4, 6, 2, 10, 1, 2, 2, 2, 2, 10, 2, 2, 10, 2, 6, 2, 1, 2, 1, 1, 6, 10, 10, 10, 10, 6, 1, 1, 10, 2, 10, 6, 2, 1, 1, 6, 2, 1, 1, 10, 10, 10, 2, 10, 6, 10, 1, 6, 6, 1, 10, 6, 10, 2, 2, 6, 2, 6, 0, 10, 1, 1, 6, 4, 10, 6, 6, 2, 1, 1, 2, 10, 2, 2, 6, 2, 1, 1, 6, 6, 2, 10, 10, 2, 6, 10, 6, 10, 1, 6, 0, 10, 10, 10, 10, 10, 6, 2, 6, 2, 10, 2, 10, 1, 6, 1, 10, 6, 5, 1, 1, 6, 6, 2, 2, 6, 2, 0, 10, 1, 6, 6, 1, 6, 10, 2, 6, 2, 1, 2, 2, 6, 2, 1, 1, 10, 6, 6, 1, 10, 2, 2, 2, 1, 1, 6, 2, 2, 10, 10, 1, 10, 10, 2, 2, 2, 4, 6, 9, 6, 10, 2, 1, 10, 10, 1, 10, 1, 1, 10, 2, 10, 6, 6, 10, 2, 10, 2, 2, 6, 1, 1, 10, 6, 10, 10, 2, 2, 10, 1, 2, 10, 10, 2, 1, 10, 1, 1, 2, 10, 1, 6, 6, 2, 10, 2, 1, 10, 10, 6, 6, 2, 10, 1, 2, 1, 10, 1, 6, 2, 10, 5, 10, 10, 10, 1, 1, 1, 1, 1, 2, 2, 6, 6, 2, 6, 2, 10, 1, 1, 10, 10, 10, 6, 10, 1, 2, 10, 1, 2, 10, 10, 2, 1, 1, 6, 2, 6, 1, 1, 6, 10, 10, 6, 4, 2, 6, 2, 1, 2, 1, 2, 6, 1, 10, 2, 6, 10, 2, 1, 10, 6, 2, 2, 10, 1, 2, 10, 2, 2, 2, 1, 10, 6, 6, 10, 1, 1, 2, 6, 6, 5, 2, 10, 10, 6, 2, 1, 6, 1, 1, 1, 2, 10, 1, 2, 2, 6, 10, 10, 1, 6, 10, 1, 10, 10, 6, 6, 6, 1, 10, 6, 6, 2, 1, 6, 6, 6, 1, 1, 10, 10, 1, 1, 10, 10, 2, 1, 2, 6, 6, 1, 1, 6, 1, 10, 2, 2, 2, 6, 1, 2, 0, 6, 10, 6, 1, 2, 10, 1, 6, 2, 6, 2, 6, 2, 2, 2, 1, 2, 2, 6, 2, 10, 1, 1, 10, 1, 2, 1, 5, 10, 2, 1, 1, 6, 4, 1, 2, 1, 10, 2, 1, 2, 6, 2, 10, 2, 1, 6, 2, 1, 2, 2, 2, 0, 10, 1, 1, 10, 2, 10, 1, 6, 2, 2, 6, 1, 10, 2, 2, 10, 10, 6, 6, 6, 6, 6, 2, 2, 2, 4, 6, 6, 2, 10, 6, 10, 10, 1, 1, 1, 10, 1, 1, 2, 6, 6, 10, 10, 9, 1, 2, 10, 1, 2, 1, 10, 6, 6, 6, 1, 9, 6, 1, 2, 2, 10, 6, 2, 2, 9, 6, 10, 2, 2, 2, 10, 2, 2, 1, 2, 10, 2, 10, 2, 2, 2, 6, 2, 1, 6, 6, 2, 2, 10, 6, 2, 1, 2, 10, 10, 1, 1, 2, 10, 6, 2, 1, 2, 10, 6, 2, 10, 4, 1, 2, 1, 10, 2, 6, 2, 10, 10, 6, 6, 6, 2, 10, 6, 6, 10, 6, 1, 6, 2, 10, 1, 2, 6, 6, 1, 1, 6, 2, 10, 6, 6, 1, 6, 2, 10, 1, 2, 1, 10, 1, 10, 10, 1, 2, 10, 6, 10, 10, 2, 2, 10, 1, 6, 1, 6, 1, 6, 2, 2, 6, 10, 6, 6, 10, 6, 10, 10, 1, 1, 1, 1, 6, 2, 6, 10, 10, 2, 2, 6, 10, 1, 10, 1, 10, 10, 6, 6, 6, 6, 1, 2, 6, 1, 10, 2, 2, 6, 6, 2, 10, 6, 6, 6, 10, 6, 6, 6, 1, 6, 2, 1, 2, 2, 1, 2, 9, 1, 2, 1, 10, 6, 6, 10, 2, 6, 6, 10, 1, 2, 2, 10, 1, 2, 1, 10, 10, 10, 6, 1, 2, 2, 2, 10, 2, 1, 10, 10, 2, 1, 10, 6, 1, 10, 2, 2, 6, 2, 10, 10, 10, 2, 2, 6, 1, 6, 6, 2, 10, 1, 6, 2, 1, 6, 2, 1, 2, 10, 6, 2, 9, 2, 6, 10, 6, 6, 1, 6, 1, 10, 6, 10, 2, 2, 0, 6, 2, 10, 5, 2, 6, 1, 10, 6, 10, 2, 10, 10, 10, 10, 1, 10, 10, 6, 10, 10, 10, 10, 10, 2, 6, 2, 1, 1, 6, 1, 2, 1, 2, 2, 6, 1, 1, 1, 10, 1, 6, 10, 6, 6, 1, 10, 10, 5, 6, 6, 6, 10, 2, 2, 10, 1, 10, 6, 10, 1, 1, 2, 10, 1, 1, 10, 6, 2, 2, 6, 10, 10, 10, 6, 2, 6, 1, 1, 2, 1, 10, 6, 1, 6, 2, 10, 10, 2, 10, 6, 6, 1, 10, 1, 10, 6, 2, 1, 1, 1, 1, 2, 2, 6, 6, 2, 2, 2, 6, 10, 6, 10, 10, 1, 1, 2, 1, 1, 10, 1, 6, 10, 10, 2, 6, 1, 2, 6, 1, 1, 2, 1, 6, 9, 0, 6, 1, 1, 2, 2, 10, 10, 1, 10, 2, 2, 1, 10, 2, 2, 1, 1, 6, 2, 6, 6, 10, 6, 10, 5, 6, 2, 4, 6, 6, 1, 0, 10, 2, 2, 1, 10, 1, 6, 2, 10, 6, 10, 6, 6, 2, 10, 6, 1, 2, 2, 1, 10, 10, 1, 10, 1, 2, 6, 6, 6, 10, 2, 1, 2, 1, 10, 6, 6, 6, 2, 6, 2, 10, 1, 6, 6, 1, 2, 10, 1, 2, 6, 10, 2, 6, 2, 2, 10, 6, 6, 6, 2, 1, 2, 6, 2, 2, 2, 2, 6, 6, 2, 2, 10, 2, 10, 6, 6, 10, 6, 10, 6, 1, 2, 10, 6, 10, 2, 10, 2, 1, 10, 1, 10, 1, 1, 1, 6, 6, 6, 5, 1, 2, 2, 10, 10, 10, 6, 10, 1, 10, 6, 2, 6, 6, 1, 1, 6, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 10, 6, 2, 1, 6, 1, 6, 2, 1, 1, 10, 1, 2, 6, 6, 6, 1, 1, 1, 2, 5, 1, 1, 6, 10, 10, 6, 2, 1, 1, 6, 2, 6, 1, 2, 6, 1, 6, 6, 6, 2, 1, 6, 6, 6, 1, 6, 6, 10, 1, 10, 6, 6, 6, 6, 10, 6, 6, 1, 2, 2, 10, 6, 4, 6, 6, 1, 10, 2, 1, 1, 1, 2, 2, 6, 6, 1, 6, 2, 2, 2, 1, 10, 10, 10, 2, 10, 6, 6, 2, 6, 6, 1, 10, 6, 2, 2, 10, 2, 2, 6, 2, 1, 6, 2, 6, 2, 10, 2, 1, 2, 6, 10, 6, 2, 10, 1, 6, 1, 1, 6, 6, 10, 6, 5, 1, 1, 6, 10, 6, 10, 2, 10, 6, 10, 1, 2, 6, 6, 2, 1, 9, 10, 6, 2, 2, 0, 1, 6, 1, 10, 6, 2, 1, 1, 1, 2, 10, 1, 2, 1, 2, 10, 10, 1, 10, 10, 6, 2, 6, 6, 6, 1, 6, 6, 2, 6, 6, 10, 2, 1, 2, 10, 10, 6, 10, 6, 1, 2, 1, 2, 2, 6, 10, 1, 1, 10, 10, 10, 1, 6, 2, 1, 10, 6, 2, 4, 1, 10, 2, 2, 6, 10, 6, 6, 1, 1, 1, 10, 1, 2, 1, 6, 2, 1, 1, 10, 10, 10, 10, 10, 10, 2, 6, 2, 2, 6, 10, 2, 1, 10, 1, 10, 6, 6, 10, 6, 1, 1, 2, 4, 6, 1, 10, 2, 10, 2, 1, 1, 2, 10, 6, 10, 2, 1, 2, 10, 10, 10, 10, 6, 10, 9, 2, 10, 1, 2, 1, 6, 2, 6, 10, 10, 1, 10, 6, 10, 1, 1, 2, 1, 2, 2, 10, 2, 1, 2, 10, 2, 1, 2, 1, 2, 1, 10, 10, 6, 4, 1, 1, 1, 6, 10, 2, 6, 1, 2, 2, 2, 10, 2, 6, 2, 6, 2, 1, 6, 10, 6, 10, 2, 10, 1, 1, 10, 6, 2, 1, 2, 10, 6, 6, 6, 2, 1, 1, 6, 6, 6, 2, 1, 1, 10, 6, 6, 6, 6, 1, 2, 10, 10, 1, 2, 1, 1, 2, 1, 6, 10, 6, 6, 6, 2, 6, 2, 1, 2, 6, 6, 0, 2, 6, 1, 1, 6, 6, 2, 6, 6, 6, 1, 2, 1, 1, 10, 1, 2, 6, 0, 2, 2, 6, 2, 6, 6, 6, 6, 10, 1, 10, 6, 2, 10, 2, 1, 7, 1, 10, 1, 1, 2, 2, 2, 2, 2, 10, 2, 10, 5, 6, 2, 4, 10, 2, 10, 10, 10, 2, 1, 2, 6, 10, 1, 10, 10, 10, 10, 6, 6, 6, 1, 1, 10, 1, 10, 6, 6, 2, 10, 2, 2, 1, 6, 10, 6, 10, 6, 6, 1, 10, 10, 6, 2, 10, 6, 10, 1, 10, 6, 6, 10, 2, 2, 10, 1, 1, 6, 2, 1, 2, 6, 9, 1, 2, 1, 10, 1, 2, 2, 2, 10, 10, 1, 2, 6, 10, 6, 6, 2, 1, 2, 1, 1, 2, 2, 1, 10, 6, 4, 2, 6, 2, 6, 10, 2, 10, 1, 2, 6, 2, 6, 6, 10, 2, 10, 6, 1, 5, 2, 10, 2, 2, 1, 2, 1, 6, 6, 10, 1, 2, 1, 2, 10, 10, 2, 2, 6, 6, 6, 10, 10, 10, 6, 6, 2, 2, 1, 5, 6, 1, 1, 2, 2, 2, 1, 1, 6, 10, 10, 10, 10, 10, 6, 1, 10, 1, 6, 6, 2, 9, 1, 1, 2, 6, 5, 1, 1, 6, 1, 1, 10, 6, 6, 1, 1, 10, 2, 2, 10, 6, 2, 2, 6, 2, 6, 2, 2, 6, 6, 1, 10, 2, 6, 2, 6, 10, 1, 6, 2, 6, 6, 1, 6, 6, 10, 2, 6, 10, 6, 6, 5, 2, 1, 9, 10, 6, 6, 2, 1, 6, 2, 10, 6, 2, 6, 2, 6, 6, 10, 6, 10, 10, 10, 3, 7, 1, 2, 2, 10, 10, 6, 6, 1, 6, 1, 1, 10, 2, 2, 1, 1, 2, 1, 1, 5, 10, 2, 10, 2, 2, 10, 2, 2, 10, 10, 6, 10, 1, 6, 2, 1, 2, 6, 6, 10, 10, 6, 6, 4, 6, 2, 2, 10, 6, 1, 6, 6, 1, 10, 2, 6, 6, 10, 6, 2, 2, 10, 10, 10, 6, 6, 1, 10, 6, 6, 1, 1, 2, 6, 10, 10, 10, 2, 2, 6, 10, 2, 1, 1, 6, 2, 2, 2, 6, 10, 2, 2, 1, 2, 1, 6, 2, 10, 10, 6, 10, 6, 1, 1, 10, 6, 10, 10, 6, 1, 1, 2, 10, 10, 10, 10, 2, 1, 6, 6, 2, 1, 1, 6, 10, 6, 10, 1, 1, 10, 6, 6, 6, 1, 6, 10, 10, 10, 6, 6, 1, 2, 10, 1, 2, 1, 1, 2, 2, 10, 6, 10, 10, 1, 1, 1, 6, 1, 10, 10, 6, 2, 1, 2, 6, 10, 6, 2, 10, 10, 6, 2, 6, 6, 10, 1, 10, 2, 10, 1, 6, 6, 10, 1, 1, 1, 6, 6, 1, 6, 6, 6, 6, 6, 1, 2, 10, 6, 1, 1, 6, 6, 1, 1, 10, 10, 1, 6, 1, 6, 2, 9, 1, 2, 10, 10, 2, 5, 10, 1, 2, 10, 2, 5, 6, 1, 1, 2, 2, 6, 6, 1, 2, 2, 6, 1, 6, 1, 2, 10, 10, 1, 2, 2, 6, 10, 10, 2, 6, 6, 6, 10, 2, 6, 6, 1, 6, 1, 1, 2, 10, 1, 1, 2, 10, 2, 6, 2, 2, 10, 2, 2, 2, 2, 10, 1, 10, 6, 6, 10, 2, 6, 10, 10, 2, 2, 6, 1, 1, 2, 10, 1, 6, 2, 6, 10, 1, 2, 10, 1, 2, 10, 2, 6, 6, 1, 1, 2, 6, 2, 10, 1, 2, 4, 6, 1, 6, 2, 1, 6, 1, 10, 10, 2, 6, 10, 2, 1, 2, 2, 10, 10, 2, 10, 10, 2, 10, 10, 2, 2, 6, 6, 10, 10, 2, 2, 6, 10, 1, 1, 10, 2, 1, 2, 6, 1, 6, 2, 10, 10, 1, 2, 6, 1, 1, 2, 2, 2, 2, 2, 2, 10, 6, 10, 10, 2, 2, 6, 10, 1, 10, 6, 2, 10, 10, 2, 1, 2, 10, 6, 2, 1, 6, 10, 10, 6, 4, 1, 2, 6, 1, 1, 1, 1, 6, 2, 10, 10, 5, 1, 6, 1, 2, 1, 2, 10, 10, 1, 6, 6, 6, 6, 2, 2, 10, 6, 10, 2, 10, 1, 10, 2, 6, 1, 6, 10, 1, 2, 10, 2, 1, 6, 4, 2, 10, 10, 6, 9, 10, 6, 2, 6, 2, 10, 6, 0, 1, 2, 1, 2, 6, 2, 10, 10, 2, 1, 2, 6, 9, 1, 2, 10, 1, 1, 6, 6, 2, 2, 6, 60, 10, 2, 2, 2, 1, 6, 6, 10, 1, 1, 2, 2, 1, 6, 1, 6, 1, 6, 1, 10, 1, 1, 6, 10, 2, 1, 1, 10, 1, 1, 6, 2, 2, 2, 2, 2, 6, 6, 9, 6, 6, 6, 1, 2, 10, 2, 10, 10, 6, 2, 1, 2, 6, 6, 1, 6, 2, 10, 10, 6, 2, 10, 9, 1, 10, 2, 10, 6, 2, 2, 2, 1, 1, 2, 2, 6, 1, 10, 10, 10, 2, 10, 6, 2, 4, 6, 10, 10, 2, 10, 6, 10, 2, 10, 4, 6, 6, 10, 2, 6, 10, 2, 2, 2, 2, 1, 6, 6, 6, 10, 10, 10, 10, 6, 2, 2, 1, 10, 10, 6, 10, 10, 10, 6, 6, 1, 2, 6, 2, 10, 2, 10, 1, 1, 1, 1, 2, 2, 2, 6, 6, 2, 2, 10, 2, 6, 2, 10, 2, 10, 10, 6, 2, 2, 2, 10, 10, 1, 10, 10, 2, 10, 1, 10, 6, 1, 10, 10, 2, 10, 6, 10, 10, 10, 6, 10, 2, 1, 1, 2, 10, 1, 6, 6, 10, 6, 10, 2, 1, 10, 1, 10, 2, 6, 6, 1, 1, 2, 2, 10, 6, 10, 2, 6, 2, 10, 1, 1, 1, 2, 10, 10, 6, 1, 2, 1, 6, 9, 5, 2, 1, 2, 2, 2, 1, 2, 2, 1, 10, 6, 1, 10, 2, 2, 1, 1, 6, 1, 1, 6, 10, 10, 2, 2, 10, 6, 1, 1, 6, 5, 1, 1, 6, 1, 10, 1, 2, 6, 2, 0, 6, 6, 6, 2, 1, 1, 1, 10, 2, 2, 2, 6, 1, 6, 6, 2, 2, 1, 5, 10, 2, 1, 2, 10, 6, 1, 10, 1, 4, 6, 10, 6, 6, 1, 10, 10, 10, 6, 1, 10, 10, 10, 2, 2, 10, 2, 2, 6, 2, 10, 6, 6, 1, 10, 2, 1, 6, 1, 1, 2, 10, 10, 2, 6, 1, 6, 4, 2, 9, 10, 1, 6, 2, 10, 1, 2, 1, 2, 1, 1, 2, 10, 9, 6, 6, 2, 6, 1, 6, 6, 6, 2, 2, 1, 0, 10, 2, 10, 6, 10, 1, 10, 2, 6, 2, 10, 10, 10, 10, 2, 1, 6, 10, 9, 2, 1, 1, 2, 6, 6, 10, 10, 6, 2, 2, 1, 10, 2, 2, 10, 6, 6, 6, 1, 10, 2, 10, 6, 10, 10, 6, 10, 10, 1, 9, 1, 2, 1, 10, 2, 5, 9, 1, 1, 10, 1, 1, 6, 10, 10, 10, 10, 6, 1, 10, 2, 6, 1, 10, 10, 10, 6, 10, 10, 1, 6, 2, 10, 2, 1, 10, 10, 2, 6, 6, 2, 6, 2, 2, 2, 10, 1, 2, 1, 6, 10, 1, 1, 6, 1, 10, 10, 10, 10, 2, 6, 6, 5, 1, 2, 2, 1, 1, 1, 6, 2, 2, 1, 2, 6, 1, 10, 10, 2, 2, 2, 1, 1, 2, 10, 6, 6, 6, 6, 10, 2, 6, 2, 2, 2, 2, 1, 2, 5, 1, 2, 10, 1, 1, 6, 1, 6, 10, 10, 10, 10, 6, 2, 2, 10, 6, 10, 2, 6, 2, 9, 2, 2, 1, 2, 6, 6, 6, 10, 10, 10, 1, 10, 1, 5, 1, 10, 10, 6, 1, 1, 10, 10, 10, 6, 10, 2, 6, 9, 1, 1, 10, 1, 6, 6, 10, 1, 10, 6, 6, 6, 10, 6, 1, 6, 1, 6, 6, 10, 2, 1, 10, 2, 10, 1, 1, 6, 1, 10, 6, 2, 2, 6, 4, 1, 6, 1, 2, 1, 1, 10, 1, 2, 6, 10, 6, 6, 5, 6, 10, 2, 2, 4, 2, 1, 2, 10, 1, 2, 10, 2, 2, 2, 1, 2, 10, 6, 10, 10, 2, 0, 1, 50, 1, 2, 10, 10, 1, 1, 10, 10, 10, 2, 10, 6, 9, 2, 1, 10, 2, 2, 6, 6, 2, 2, 10, 1, 2, 1, 6, 2, 10, 10, 1, 10, 6, 6, 1, 1, 10, 10, 10, 10, 2, 1, 10, 10, 6, 4, 2, 1, 6, 6, 2, 1, 10, 6, 2, 1, 1, 2, 10, 6, 2, 1, 6, 10, 2, 6, 1, 10, 2, 1, 6, 6, 1, 2, 10, 1, 1, 2, 5, 6, 1, 2, 10, 1, 10, 10, 2, 2, 2, 2, 1, 10, 10, 6, 2, 10, 1, 10, 1, 1, 6, 6, 6, 6, 6, 1, 2, 2, 6, 10, 6, 1, 6, 2, 2, 10, 2, 2, 0, 10, 10, 6, 10, 1, 10, 2, 2, 10, 1, 1, 1, 10, 6, 10, 6, 1, 5, 10, 6, 6, 6, 10, 6, 1, 6, 6, 6, 6, 6, 6, 10, 6, 10, 1, 1, 1, 2, 6, 6, 2, 2, 1, 10, 6, 10, 2, 1, 1, 10, 6, 6, 6, 6, 10, 6, 2, 10, 1, 1, 1, 2, 10, 6, 2, 6, 0, 6, 0, 6, 6, 6, 10, 10, 6, 6, 1, 1, 2, 10, 2, 2, 1, 4, 1, 1, 6, 2, 2, 2, 2, 6, 9, 6, 10, 2, 10, 6, 6, 2, 6, 6, 2, 10, 10, 2, 10, 2, 2, 10, 6, 10, 10, 6, 10, 2, 2, 6, 10, 10, 1, 10, 2, 1, 1, 6, 2, 2, 2, 2, 2, 6, 1, 10, 2, 6, 2, 5, 10, 2, 1, 6, 10, 6, 1, 10, 6, 6, 10, 10, 10, 2, 10, 6, 10, 6, 6, 2, 1, 6, 6, 10, 6, 1, 2, 2, 10, 1, 10, 6, 2, 2, 2, 2, 6, 10, 1, 1, 6, 2, 1, 6, 2, 1, 2, 6, 2, 2, 2, 10, 10, 10, 10, 1, 6, 2, 2, 2, 10, 10, 1, 6, 10, 10, 2, 6, 6, 10, 10, 5, 10, 2, 1, 1, 1, 9, 2, 6, 10, 9, 2, 2, 10, 10, 1, 6, 1, 10, 2, 0, 6, 6, 1, 6, 2, 6, 2, 10, 2, 2, 1, 2, 2, 10, 10, 5, 2, 10, 10, 6, 4, 2, 1, 1, 10, 1, 1, 2, 1, 1, 6, 10, 6, 1, 2, 2, 1, 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2, 1, 6, 6, 1, 10, 1, 1, 10, 10, 1, 1, 1, 10, 10, 5, 1, 1, 6, 10, 6, 1, 1, 6, 6, 6, 1, 10, 10, 2, 1, 6, 10, 2, 6, 10, 1, 10, 6, 6, 2, 1, 10, 2, 6, 2, 1, 6, 6, 10, 9, 10, 10, 2, 2, 2, 2, 10, 10, 6, 2, 1, 6, 1, 6, 1, 1, 9, 10, 6, 2, 10, 10, 2, 1, 5, 2, 2, 10, 1, 6, 2, 6, 1, 10, 1, 10, 1, 2, 2, 6, 10, 10, 10, 10, 1, 1, 10, 2, 6, 2, 6, 2, 1, 1, 10, 2, 9, 0, 6, 6, 10, 6, 6, 6, 2, 1, 2, 1, 10, 1, 10, 1, 1, 6, 2, 1, 1, 10, 6, 2, 10, 1, 2, 10, 1, 1, 6, 6, 10, 1, 10, 2, 1, 1, 10, 1, 2, 10, 1, 2, 1, 6, 6, 6, 6, 1, 6, 1, 1, 2, 2, 2, 6, 1, 10, 2, 2, 6, 10, 2, 1, 10, 6, 6, 1, 10, 6, 1, 1, 10, 10, 6, 1, 1, 1, 6, 10, 10, 10, 10, 6, 2, 6, 6, 6, 2, 0, 6, 10, 2, 10, 6, 2, 5, 6, 10, 6, 10, 2, 10, 6, 2, 2, 6, 10, 6, 1, 10, 1, 10, 1, 2, 0, 10, 2, 6, 1, 2, 6, 6, 1, 1, 2, 4, 6, 2, 1, 2, 1, 1, 10, 1, 6, 1, 2, 2, 10, 2, 2, 2, 4, 1, 10, 2, 10, 6, 2, 2, 1, 6, 6, 2, 10, 2, 6, 2, 10, 6, 10, 1, 6, 2, 10, 10, 2, 10, 6, 10, 10, 2, 1, 10, 1, 2, 2, 2, 2, 2, 6, 2, 1, 1, 6, 2, 10, 6, 10, 1, 1, 10, 6, 6, 6, 6, 10, 6, 1, 10, 2, 6, 2, 1, 10, 6, 6, 2, 2, 2, 6, 10, 10, 6, 2, 6, 6, 1, 2, 2, 6, 10, 1, 10, 6, 5, 1, 2, 2, 1, 10, 2, 6, 2, 6, 10, 2, 1, 10, 1, 2, 10, 10, 10, 6, 10, 2, 2, 1, 2, 2, 2, 10, 2, 6, 6, 1, 1, 1, 10, 2, 10, 6, 2, 6, 6, 1, 10, 1, 1, 6, 6, 1, 1, 1, 2, 1, 10, 2, 4, 10, 2, 1, 6, 1, 2, 6, 6, 6, 2, 10, 10, 1, 6, 6, 2, 2, 6, 6, 1, 2, 6, 1, 0, 1, 10, 1, 2, 6, 6, 10, 1, 10, 6, 10, 1, 1, 6, 1, 2, 1, 2, 6, 1, 10, 2, 6, 2, 10, 6, 2, 6, 6, 2, 1, 10, 10, 6, 1, 1, 10, 2, 6, 10, 10, 10, 2, 6, 10, 1, 2, 10, 6, 6, 10, 10, 2, 1, 2, 2, 10, 6, 2, 2, 6, 10, 6, 6, 2, 1, 1, 2, 10, 2, 6, 10, 2, 6, 1, 1, 1, 6, 10, 1, 2, 2, 6, 6, 1, 2, 10, 6, 6, 1, 10, 1, 6, 1, 1, 10, 10, 1, 2, 10, 2, 2, 6, 6, 5, 6, 6, 6, 10, 6, 10, 2, 2, 2, 1, 6, 2, 1, 2, 10, 6, 2, 2, 10, 2, 2, 1, 10, 2, 10, 1, 1, 10, 6, 10, 1, 6, 4, 2, 2, 2, 2, 2, 6, 10, 1, 2, 10, 6, 2, 1, 10, 2, 10, 1, 2, 6, 6, 6, 60, 1, 2, 2, 1, 10, 2, 10, 1, 10, 2, 10, 1, 1, 10, 1, 6, 10, 10, 6, 1, 2, 6, 1, 6, 1, 2, 10, 6, 10, 9, 10, 2, 10, 2, 6, 6, 2, 6, 10, 6, 6, 1, 1, 10, 10, 6, 2, 2, 6, 6, 2, 6, 1, 1, 1, 1, 6, 6, 6, 6, 6, 2, 6, 1, 6, 5, 6, 1, 1, 1, 1, 10, 1, 10, 2, 6, 1, 10, 10, 10, 10, 2, 1, 6, 10, 1, 1, 10, 6, 2, 6, 6, 10, 6, 6, 10, 6, 10, 1, 2, 1, 2, 10, 1, 1, 6, 1, 1, 6, 0, 10, 10, 2, 6, 4, 1, 1, 6, 10, 10, 1, 1, 6, 2, 1, 10, 6, 1, 10, 2, 6, 1, 10, 1, 2, 10, 10, 6, 6, 2, 6, 10, 10, 10, 10, 1, 2, 2, 2, 10, 2, 10, 10, 10, 6, 6, 1, 10, 1, 10, 10, 2, 10, 2, 6, 10, 6, 2, 10, 10, 1, 6, 1, 1, 2, 6, 2, 6, 10, 6, 6, 1, 10, 6, 2, 10, 10, 10, 10, 2, 1, 6, 1, 2, 4, 6, 10, 6, 6, 2, 2, 1, 10, 10, 5, 10, 4, 1, 2, 6, 1, 6, 6, 6, 6, 6, 10, 6, 2, 6, 6, 1, 1, 1, 2, 6, 2, 6, 6, 6, 10, 6, 1, 1, 6, 1, 2, 10, 6, 6, 2, 1, 9, 10, 10, 10, 10, 2, 6, 2, 1, 2, 1, 1, 6, 2, 6, 6, 1, 6, 6, 10, 10, 2, 10, 2, 10, 2, 6, 1, 10, 2, 1, 1, 10, 6, 2, 1, 10, 10, 6, 10, 6, 10, 2, 2, 1, 10, 2, 2, 2, 2, 1, 2, 10, 2, 2, 1, 2, 6, 10, 6, 6, 10, 10, 10, 1, 6, 10, 1, 6, 10, 10, 1, 10, 10, 1, 2, 2, 6, 1, 6, 10, 1, 2, 6, 10, 6, 2, 2, 1, 6, 2, 10, 1, 10, 2, 2, 10, 1, 6, 6, 10, 2, 2, 10, 10, 10, 2, 6, 1, 6, 1, 6, 6, 1, 6, 6, 10, 1, 6, 2, 6, 1, 10, 6, 6, 6, 1, 6, 2, 6, 10, 6, 2, 6, 10, 2, 2, 2, 10, 2, 6, 1, 10, 2, 2, 2, 6, 2, 6, 6, 10, 1, 6, 2, 10, 2, 1, 6, 2, 2, 0, 6, 1, 10, 10, 6, 6, 2, 6, 2, 10, 1, 2, 2, 10, 1, 1, 1, 5, 6, 2, 10, 2, 5, 6, 9, 2, 1, 2, 10, 6, 2, 1, 2, 10, 10, 2, 6, 2, 1, 2, 6, 2, 6, 6, 2, 10, 1, 6, 2, 2, 10, 10, 6, 2, 1, 2, 10, 1, 10, 10, 10, 0, 6, 2, 6, 1, 10, 6, 6, 1, 6, 2, 10, 1, 1, 10, 10, 1, 1, 6, 10, 1, 4, 6, 1, 1, 1, 2, 6, 6, 6, 1, 2, 2, 0, 0, 1, 2, 10, 6, 2, 2, 6, 1, 2, 2, 6, 1, 10, 2, 1, 1, 6, 2, 1, 10, 10, 1, 10, 1, 6, 1, 1, 6, 2, 1, 10, 1, 2, 2, 6, 2, 6, 40, 2, 6, 1, 10, 6, 6, 10, 10, 6, 10, 6, 10, 6, 2, 1, 6, 1, 6, 1, 1, 10, 6, 2, 1, 6, 10, 6, 1, 1, 2, 2, 2, 2, 6, 6, 10, 10, 2, 6, 6, 7, 1, 6, 6, 6, 1, 0, 2, 1, 6, 10, 1, 2, 10, 10, 4, 6, 6, 10, 10, 2, 1, 6, 10, 6, 6, 2, 6, 1, 2, 2, 6, 2, 1, 10, 10, 10, 10, 2, 6, 6, 10, 6, 7, 1, 4, 1, 2, 1, 2, 4, 2, 6, 2, 2, 6, 2, 1, 10, 6, 5, 2, 10, 6, 2, 10, 2, 6, 6, 10, 6, 1, 1, 9, 1, 1, 1, 10, 2, 2, 6, 1, 1, 1, 6, 1, 2, 2, 6, 1, 1, 10, 1, 1, 10, 2, 2, 2, 1, 1, 10, 10, 1, 1, 6, 2, 2, 2, 10, 1, 2, 6, 1, 6, 1, 2, 2, 10, 2, 2, 2, 5, 2, 1, 2, 10, 1, 10, 4, 10, 10, 10, 1, 10, 9, 2, 10, 2, 2, 6, 6, 10, 6, 2, 10, 6, 1, 2, 10, 10, 10, 7, 6, 10, 2, 2, 1, 10, 1, 1, 1, 6, 10, 2, 10, 10, 1, 2, 1, 2, 6, 5, 2, 6, 10, 10, 10, 2, 10, 10, 6, 2, 2, 10, 10, 6, 1, 2, 10, 1, 1, 10, 5, 6, 2, 2, 10, 10, 6, 1, 6, 6, 6, 6, 1, 1, 10, 2, 6, 2, 1, 1, 2, 10, 10, 2, 6, 2, 6, 2, 10, 10, 10, 10, 6, 2, 6, 2, 2, 1, 10, 1, 6, 2, 2, 6, 10, 6, 2, 6, 1, 6, 1, 10, 1, 10, 1, 6, 1, 2, 10, 1, 1, 6, 1, 2, 1, 2, 1, 2, 10, 1, 10, 10, 1, 6, 1, 2, 2, 2, 2, 6, 1, 9, 10, 1, 1, 9, 10, 2, 10, 6, 6, 2, 6, 2, 6, 1, 1, 10, 1, 2, 2, 4, 10, 2, 10, 10, 1, 10, 10, 6, 1, 6, 1, 2, 2, 9, 1, 6, 1, 10, 1, 5, 1, 1, 10, 2, 2, 10, 0, 9, 10, 10, 10, 10, 1, 1, 1, 6, 10, 10, 2, 2, 1, 1, 1, 1, 1, 2, 10, 10, 6, 10, 1, 1, 10, 2, 10, 0, 10, 2, 6, 6, 1, 10, 6, 1, 10, 2, 1, 1, 2, 1, 10, 6, 10, 1, 10, 10, 10, 2, 10, 2, 2, 1, 2, 1, 2, 10, 6, 10, 6, 10, 2, 6, 10, 10, 6, 2, 6, 1, 10, 1, 10, 2, 10, 2, 2, 1, 6, 6, 10, 6, 1, 6, 2, 2, 2, 6, 6, 5, 2, 2, 2, 1, 6, 1, 10, 2, 6, 2, 1, 1, 2, 10, 6, 1, 2, 2, 6, 10, 6, 1, 2, 1, 2, 10, 4, 2, 1, 10, 6, 6, 6, 1, 10, 1, 10, 6, 6, 6, 2, 1, 1, 1, 1, 6, 1, 2, 10, 1, 1, 2, 2, 6, 5, 6, 6, 6, 6, 0, 5, 1, 6, 10, 6, 2, 10, 10, 1, 10, 2, 2, 6, 2, 10, 2, 1, 10, 1, 2, 10, 10, 10, 6, 2, 10, 1, 6, 1, 2, 2, 10, 6, 6, 6, 6, 6, 2, 2, 6, 2, 6, 6, 2, 1, 2, 1, 6, 6, 6, 10, 9, 10, 2, 0, 10, 1, 6, 2, 2, 1, 10, 6, 1, 2, 1, 6, 1, 2, 6, 1, 2, 1, 2, 10, 10, 10, 1, 2, 1, 1, 10, 2, 2, 10, 1, 2, 6, 1, 2, 1, 2, 1, 2, 1, 1, 6, 1, 6, 10, 1, 2, 6, 6, 6, 1, 1, 2, 0, 1, 1, 1, 1, 1, 10, 10, 6, 1, 2, 10, 10, 2, 6, 2, 1, 2, 10, 1, 2, 10, 10, 1, 1, 1, 1, 6, 6, 1, 1, 10, 9, 6, 2, 6, 1, 6, 10, 6, 3, 2, 6, 2, 10, 6, 10, 6, 1, 10, 10, 10, 6, 1, 2, 2, 10, 6, 10, 6, 10, 10, 2, 10, 10, 10, 6, 10, 6, 6, 1, 10, 10, 1, 6, 1, 2, 1, 6, 5, 10, 6, 10, 2, 10, 2, 10, 6, 6, 6, 1, 2, 2, 6, 6, 10, 6, 9, 4, 6, 2, 2, 2, 2, 1, 10, 1, 10, 6, 2, 1, 10, 6, 10, 2, 10, 1, 6, 1, 1, 1, 10, 6, 2, 2, 6, 1, 6, 6, 10, 1, 2, 10, 6, 6, 2, 6, 1, 10, 10, 6, 10, 10, 1, 2, 6, 10, 10, 6, 10, 2, 2, 6, 6, 10, 2, 10, 6, 6, 6, 1, 1, 1, 2, 2, 9, 6, 2, 6, 1, 2, 2, 2, 2, 10, 2, 10, 1, 6, 1, 10, 10, 10, 10, 1, 2, 2, 10, 10, 1, 6, 6, 6, 1, 2, 5, 10, 1, 2, 1, 10, 1, 1, 10, 1, 2, 6, 2, 1, 10, 1, 2, 10, 10, 6, 10, 6, 10, 1, 1, 2, 9, 2, 6, 2, 2, 4, 2, 1, 10, 10, 1, 9, 2, 6, 10, 2, 6, 2, 1, 2, 1, 2, 1, 6, 2, 6, 2, 10, 6, 2, 1, 1, 1, 1, 6, 6, 6, 2, 2, 2, 2, 6, 10, 1, 1, 1, 10, 10, 6, 1, 6, 6, 1, 6, 6, 10, 10, 1, 0, 6, 2, 2, 1, 2, 10, 10, 2, 10, 10, 6, 10, 10, 6, 10, 10, 2, 10, 2, 1, 10, 1, 6, 1, 6, 1, 1, 10, 1, 10, 2, 9, 10, 7, 2, 6, 10, 6, 1, 10, 6, 10, 6, 2, 2, 1, 1, 1, 1, 6, 6, 1, 6, 10, 6, 10, 1, 6, 1, 1, 2, 1, 10, 1, 6, 1, 1, 6, 6, 1, 6, 1, 2, 10, 10, 10, 10, 10, 2, 6, 2, 10, 10, 10, 10, 6, 6, 1, 2, 10, 10, 6, 10, 6, 1, 1, 10, 2, 2, 6, 2, 1, 10, 6, 10, 10, 1, 6, 6, 10, 1, 1, 6, 6, 10, 1, 6, 2, 2, 6, 2, 6, 1, 2, 2, 2, 6, 10, 6, 10, 1, 1, 6, 2, 10, 6, 10, 4, 1, 6, 2, 2, 10, 6, 10, 1, 1, 10, 6, 6, 10, 10, 2, 2, 6, 2, 10, 10, 10, 10, 6, 10, 10, 10, 2, 2, 1, 1, 2, 10, 10, 10, 6, 2, 10, 10, 1, 1, 2, 10, 1, 1, 1, 10, 2, 6, 6, 6, 1, 6, 2, 0, 2, 6, 1, 2, 6, 10, 6, 10, 6, 6, 0, 6, 6, 6, 6, 1, 2, 1, 10, 1, 2, 2, 1, 10, 1, 10, 6, 2, 2, 1, 10, 6, 6, 2, 10, 4, 2, 2, 10, 10, 10, 1, 1, 6, 10, 2, 6, 10, 2, 2, 6, 2, 6, 6, 6, 2, 6, 1, 6, 1, 10, 2, 2, 6, 2, 10, 10, 4, 2, 10, 1, 10, 6, 1, 6, 1, 10, 6, 6, 2, 2, 10, 6, 1, 1, 1, 6, 10, 10, 10, 6, 1, 1, 6, 6, 1, 1, 2, 2, 6, 2, 6, 6, 6, 6, 2, 10, 9, 5, 1, 1, 1, 10, 6, 6, 1, 1, 6, 2, 6, 10, 2, 10, 1, 10, 2, 1, 2, 2, 6, 2, 6, 1, 10, 10, 9, 1, 1, 6, 1, 10, 10, 6, 10, 10, 1, 2, 2, 1, 2, 1, 2, 10, 2, 2, 6, 6, 10, 6, 6, 1, 1, 10, 1, 6, 10, 1, 1, 2, 2, 10, 2, 10, 1, 1, 2, 10, 1, 6, 10, 0, 2, 2, 2, 2, 2, 10, 6, 60, 6, 10, 10, 1, 10, 10, 1, 1, 2, 10, 6, 6, 1, 2, 1, 10, 6, 2, 10, 10, 2, 2, 6, 6, 10, 6, 10, 2, 2, 1, 2, 6, 2, 6, 10, 2, 1, 10, 1, 10, 10, 1, 5, 10, 10, 1, 1, 6, 10, 2, 6, 1, 1, 3, 2, 6, 6, 2, 2, 0, 10, 6, 6, 6, 10, 2, 1, 1, 1, 2, 1, 10, 6, 1, 2, 10, 5, 1, 10, 1, 10, 1, 2, 1, 6, 6, 10, 10, 2, 10, 10, 10, 1, 6, 1, 2, 1, 2, 1, 2, 10, 10, 6, 1, 6, 6, 1, 2, 2, 10, 10, 6, 6, 2, 1, 6, 2, 6, 10, 1, 6, 2, 6, 10, 9, 6, 10, 0, 10, 6, 1, 1, 10, 6, 10, 2, 2, 10, 2, 6, 2, 6, 10, 6, 1, 2, 6, 10, 10, 6, 6, 1, 2, 2, 6, 6, 5, 1, 1, 1, 6, 2, 2, 6, 1, 2, 2, 10, 6, 6, 6, 10, 10, 2, 2, 2, 1, 10, 1, 10, 1, 1, 6, 2, 10, 10, 10, 1, 10, 1, 10, 2, 6, 6, 1, 2, 2, 1, 1, 10, 2, 6, 2, 2, 10, 10, 6, 10, 10, 6, 6, 6, 1, 2, 6, 6, 2, 10, 0, 10, 2, 2, 6, 10, 6, 2, 10, 1, 6, 10, 1, 10, 1, 6, 1, 6, 10, 6, 10, 9, 2, 2, 1, 6, 1, 1, 1, 10, 1, 6, 10, 10, 2, 6, 10, 6, 2, 2, 2, 2, 6, 10, 10, 2, 1, 10, 6, 10, 1, 2, 6, 2, 6, 2, 6, 10, 6, 6, 6, 2, 10, 2, 1, 10, 1, 5, 1, 6, 6, 10, 10, 2, 6, 0, 1, 1, 10, 2, 10, 10, 10, 10, 1, 2, 10, 2, 2, 10, 10, 6, 2, 2, 1, 10, 1, 6, 1, 10, 1, 2, 6, 1, 2, 1, 1, 6, 6, 2, 6, 10, 1, 5, 10, 1, 2, 6, 6, 1, 2, 2, 1, 1, 2, 2, 2, 10, 2, 6, 6, 2, 1, 10, 6, 10, 1, 10, 2, 6, 1, 6, 6, 10, 1, 1, 6, 6, 10, 10, 10, 10, 6, 10, 2, 1, 4, 6, 2, 1, 1, 6, 2, 10, 2, 10, 6, 10, 2, 10, 5, 2, 6, 1, 2, 6, 2, 6, 2, 10, 1, 1, 2, 10, 1, 10, 2, 6, 10, 10, 2, 6, 6, 2, 50, 2, 1, 1, 6, 2, 1, 1, 10, 1, 2, 10, 10, 6, 6, 1, 2, 6, 2, 2, 2, 10, 2, 2, 2, 1, 10, 1, 1, 1, 1, 2, 1, 6, 6, 4, 6, 10, 10, 2, 10, 1, 1, 1, 6, 2, 10, 2, 2, 2, 6, 1, 2, 2, 6, 10, 1, 6, 2, 1, 1, 2, 1, 2, 6, 6, 2, 10, 6, 6, 1, 1, 10, 10, 6, 2, 1, 10, 10, 2, 6, 6, 2, 6, 2, 10, 0, 2, 6, 1, 10, 10, 9, 10, 1, 1, 6, 6, 1, 9, 1, 10, 6, 6, 6, 6, 6, 6, 2, 10, 1, 2, 6, 10, 1, 2, 1, 2, 6, 6, 2, 6, 10, 2, 6, 6, 1, 6, 1, 1, 1, 6, 10, 1, 1, 1, 6, 2, 1, 10, 2, 1, 1, 2, 2, 1, 1, 10, 10, 7, 1, 1, 7, 6, 1, 5, 6, 10, 1, 10, 1, 1, 6, 6, 6, 0, 1, 2, 10, 2, 10, 1, 2, 6, 9, 1, 6, 1, 6, 10, 1, 10, 10, 10, 10, 1, 6, 6, 2, 5, 2, 10, 2, 2, 10, 10, 10, 2, 1, 10, 2, 10, 2, 1, 10, 1, 10, 7, 10, 6, 6, 1, 9, 6, 1, 2, 10, 2, 10, 6, 6, 2, 2, 1, 2, 1, 6, 1, 6, 2, 10, 10, 6, 10, 6, 6, 10, 6, 10, 1, 1, 6, 10, 10, 5, 1, 10, 10, 9, 1, 2, 2, 2, 10, 6, 2, 1, 6, 1, 10, 10, 1, 2, 1, 1, 1, 10, 10, 4, 2, 6, 1, 10, 10, 6, 2, 10, 6, 2, 1, 1, 2, 2, 2, 1, 6, 1, 1, 10, 6, 0, 2, 1, 2, 10, 10, 1, 6, 2, 10, 10, 1, 10, 2, 2, 10, 1, 10, 10, 6, 1, 10, 2, 5, 10, 1, 10, 4, 2, 10, 5, 2, 1, 2, 10, 6, 1, 10, 6, 1, 1, 2, 6, 6, 6, 10, 2, 10, 1, 2, 6, 2, 6, 2, 1, 2, 2, 1, 2, 6, 10, 10, 6, 1, 4, 6, 1, 10, 1, 10, 2, 2, 1, 10, 2, 1, 10, 6, 6, 6, 2, 2, 6, 2, 1, 6, 10, 1, 6, 6, 6, 10, 6, 2, 10, 6, 1, 2, 6, 6, 10, 2, 6, 6, 2, 6, 2, 6, 2, 1, 1, 6, 10, 10, 2, 6, 10, 10, 6, 5, 6, 10, 2, 10, 10, 2, 6, 6, 10, 6, 1, 2, 1, 10, 6, 10, 6, 2, 10, 2, 2, 6, 1, 6, 1, 10, 5, 2, 6, 1, 10, 2, 2, 6, 10, 6, 2, 6, 1, 2, 1, 10, 10, 10, 1, 9, 2, 1, 1, 10, 2, 6, 2, 2, 6, 2, 10, 2, 2, 2, 6, 2, 1, 2, 10, 1, 2, 2, 1, 2, 2, 2, 2, 1, 6, 6, 6, 10, 10, 2, 1, 1, 6, 1, 6, 6, 2, 10, 6, 2, 1, 1, 10, 4, 2, 5, 1, 2, 1, 1, 6, 2, 2, 10, 1, 0, 1, 1, 6, 2, 10, 2, 1, 2, 6, 2, 1, 2, 2, 6, 6, 1, 10, 10, 1, 6, 5, 0, 10, 2, 2, 10, 6, 10, 2, 2, 10, 2, 2, 1, 2, 1, 9, 2, 6, 10, 6, 2, 2, 10, 1, 6, 2, 10, 1, 2, 10, 2, 6, 1, 1, 6, 1, 6, 10, 2, 1, 10, 2, 6, 6, 2, 2, 1, 2, 2, 10, 6, 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10, 2, 2, 10, 6, 6, 5, 1, 10, 10, 1, 6, 10, 10, 1, 4, 10, 10, 2, 2, 10, 1, 10, 10, 1, 6, 2, 2, 10, 9, 5, 10, 6, 1, 10, 10, 6, 2, 6, 6, 6, 2, 6, 1, 10, 10, 10, 1, 10, 10, 2, 2, 2, 10, 1, 10, 2, 2, 6, 6, 2, 2, 9, 10, 6, 1, 1, 2, 6, 6, 1, 6, 10, 10, 10, 1, 1, 10, 10, 2, 6, 6, 1, 2, 10, 10, 2, 1, 2, 1, 10, 1, 2, 5, 10, 2, 10, 6, 1, 1, 2, 10, 1, 6, 1, 1, 10, 6, 10, 10, 0, 2, 2, 6, 10, 2, 6, 10, 6, 2, 6, 1, 1, 1, 1, 1, 6, 1, 10, 1, 6, 1, 1, 6, 6, 2, 2, 6, 6, 2, 2, 1, 2, 1, 10, 2, 6, 2, 0, 6, 10, 6, 1, 1, 1, 10, 10, 10, 6, 2, 10, 2, 10, 2, 6, 2, 1, 6, 2, 2, 10, 6, 1, 10, 10, 6, 2, 1, 10, 6, 1, 2, 2, 1, 6, 2, 10, 1, 1, 10, 6, 2, 1, 6, 2, 10, 5, 2, 10, 10, 1, 6, 1, 2, 10, 1, 6, 6, 2, 6, 1, 1, 10, 2, 0, 6, 2, 10, 10, 10, 6, 2, 6, 6, 1, 2, 6, 6, 1, 1, 6, 1, 1, 1, 1, 1, 6, 1, 6, 2, 2, 10, 2, 6, 1, 2, 10, 10, 1, 6, 6, 2, 2, 2, 10, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 10, 10, 6, 6, 2, 10, 10, 1, 10, 2, 10, 2, 2, 1, 10, 10, 10, 1, 10, 6, 10, 2, 6, 1, 2, 6, 2, 6, 1, 1, 10, 10, 6, 0, 10, 1, 6, 1, 10, 2, 6, 1, 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6, 2, 6, 6, 1, 6, 10, 6, 10, 2, 1, 2, 6, 6, 10, 10, 6, 1, 6, 2, 2, 6, 6, 10, 6, 1, 10, 10, 1, 1, 2, 2, 1, 10, 6, 6, 10, 2, 2, 1, 10, 10, 1, 10, 10, 2, 2, 1, 6, 6, 10, 10, 2, 6, 2, 10, 2, 1, 2, 2, 6, 6, 5, 2, 9, 0, 6, 1, 1, 2, 10, 1, 1, 5, 1, 10, 6, 10, 6, 6, 2, 6, 9, 2, 6, 6, 2, 1, 2, 10, 1, 4, 1, 1, 6, 1, 6, 2, 6, 10, 2, 1, 1, 2, 10, 10, 2, 10, 2, 6, 1, 1, 1, 6, 6, 10, 10, 6, 1, 6, 10, 10, 2, 6, 1, 1, 10, 1, 2, 1, 1, 1, 10, 10, 2, 1, 2, 10, 6, 10, 10, 9, 2, 1, 1, 6, 1, 6, 1, 2, 10, 10, 6, 1, 1, 10, 2, 2, 10, 6, 2, 2, 1, 4, 10, 10, 6, 2, 6, 10, 1, 6, 1, 2, 1, 3, 6, 1, 6, 2, 5, 1, 2, 2, 6, 6, 10, 2, 6, 1, 6, 6, 10, 1, 2, 1, 6, 10, 3, 6, 2, 6, 6, 6, 1, 2, 0, 10, 6, 6, 10, 2, 10, 10, 10, 2, 2, 1, 1, 10, 10, 10, 10, 2, 6, 9, 10, 1, 1, 10, 2, 6, 10, 0, 0, 2, 1, 10, 1, 1, 10, 6, 2, 6, 1, 10, 1, 6, 2, 2, 1, 3, 10, 1, 10, 2, 1, 2, 1, 10, 6, 2, 2, 2, 2, 2, 2, 6, 10, 10, 2, 6, 10, 10, 4, 4, 10, 6, 2, 2, 9, 2, 2, 2, 6, 10, 2, 1, 6, 6, 0, 1, 2, 2, 10, 10, 6, 1, 6, 10, 6, 2, 6, 1, 6, 6, 1, 1, 2, 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10, 10, 10, 10, 1, 10, 6, 10, 10, 10, 1, 6, 2, 10, 10, 1, 2, 1, 10, 7, 2, 6, 1, 6, 10, 10, 10, 1, 1, 1, 1, 2, 6, 6, 6, 6, 1, 1, 2, 2, 4, 2, 10, 1, 2, 1, 6, 1, 1, 6, 1, 1, 10, 2, 1, 6, 4, 6, 6, 10, 2, 2, 6, 10, 2, 1, 2, 2, 1, 10, 2, 1, 10, 2, 10, 1, 2, 1, 2, 2, 6, 10, 2, 1, 1, 2, 10, 6, 6, 6, 6, 6, 6, 1, 1, 2, 10, 2, 1, 4, 6, 6, 10, 6, 1, 2, 10, 1, 6, 10, 6, 1, 10, 1, 1, 1, 10, 6, 10, 6, 10, 10, 2, 10, 1, 2, 6, 6, 1, 2, 6, 6, 1, 1, 1, 2, 1, 2, 6, 1, 10, 10, 6, 10, 10, 6, 1, 6, 1, 1, 2, 6, 2, 2, 6, 6, 2, 10, 2, 2, 10, 1, 1, 1, 6, 6, 2, 1, 6, 5, 6, 6, 2, 6, 10, 2, 1, 10, 10, 10, 10, 10, 2, 2, 10, 1, 1, 1, 2, 6, 1, 9, 6, 6, 6, 2, 2, 10, 10, 6, 10, 2, 10, 2, 1, 10, 2, 2, 10, 1, 10, 6, 10, 2, 9, 10, 2, 2, 1, 6, 6, 10, 1, 10, 2, 9, 1, 10, 6, 1, 1, 10, 2, 0, 6, 1, 1, 1, 1, 2, 6, 1, 10, 6, 1, 1, 2, 0, 1, 0, 5, 10, 2, 1, 10, 10, 10, 6, 6, 1, 6, 1, 6, 1, 1, 1, 10, 1, 1, 10, 10, 1, 2, 2, 6, 1, 1, 6, 1, 1, 6, 1, 6, 10, 5, 1, 10, 10, 10, 6, 1, 6, 10, 6, 1, 6, 2, 1, 0, 2, 1, 6, 2, 2, 2, 1, 10, 1, 2, 2, 6, 6, 6, 1, 6, 1, 2, 6, 10, 10, 10, 1, 1, 2, 2, 10, 2, 1, 6, 6, 6, 2, 6, 1, 6, 6, 6, 2, 2, 6, 1, 1, 1, 1, 2, 2, 1, 10, 2, 6, 10, 2, 2, 6, 1, 10, 10, 1, 6, 10, 10, 10, 2, 6, 1, 10, 10, 2, 2, 1, 6, 1, 6, 6, 2, 1, 1, 6, 10, 1, 10, 1, 6, 6, 2, 6, 0, 9, 10, 10, 2, 10, 2, 10, 2, 2, 2, 2, 2, 10, 1, 1, 2, 10, 10, 6, 6, 6, 1, 1, 2, 6, 6, 6, 4, 2, 2, 6, 6, 1, 10, 6, 1, 10, 1, 6, 6, 2, 10, 10, 2, 1, 6, 6, 1, 1, 2, 10, 6, 6, 6, 6, 10, 2, 1, 6, 10, 10, 6, 10, 1, 9, 10, 10, 1, 6, 6, 10, 10, 1, 6, 2, 6, 6, 2, 1, 5, 10, 0, 1, 10, 6, 6, 10, 10, 2, 1, 2, 1, 6, 2, 1, 1, 1, 10, 10, 2, 50, 10, 10, 2, 2, 10, 10, 6, 2, 2, 6, 6, 1, 1, 6, 6, 2, 10, 2, 10, 2, 6, 1, 1, 2, 2, 1, 2, 2, 6, 6, 6, 6, 2, 10, 2, 6, 6, 2, 6, 2, 6, 6, 10, 2, 4, 6, 10, 2, 1, 2, 10, 2, 1, 1, 1, 10, 6, 1, 2, 2, 2, 10, 1, 1, 1, 2, 6, 1, 1, 6, 1, 10, 6, 6, 6, 2, 6, 2, 2, 1, 1, 6, 10, 10, 6, 1, 6, 2, 2, 9, 2, 6, 2, 2, 2, 6, 2, 1, 2, 2, 2, 0, 10, 2, 1, 6, 2, 2, 10, 2, 6, 6, 2, 6, 2, 10, 6, 6, 9, 1, 6, 6, 6, 10, 2, 10, 1, 2, 10, 6, 1, 6, 1, 10, 1, 6, 10, 6, 1, 2, 2, 1, 10, 1, 1, 10, 6, 10, 2, 2, 2, 2, 2, 6, 6, 6, 2, 1, 1, 2, 10, 6, 2, 10, 6, 1, 6, 1, 1, 6, 1, 1, 1, 1, 1, 10, 2, 2, 1, 1, 10, 6, 2, 4, 2, 2, 6, 6, 1, 1, 2, 2, 1, 1, 6, 10, 1, 6, 2, 1, 10, 1, 6, 2, 6, 6, 6, 10, 1, 1, 2, 5, 1, 10, 10, 10, 1, 2, 1, 6, 6, 10, 2, 6, 1, 6, 6, 1, 6, 2, 2, 6, 6, 10, 10, 10, 6, 1, 6, 6, 6, 10, 10, 6, 2, 2, 10, 10, 10, 2, 6, 1, 10, 1, 2, 10, 6, 1, 2, 10, 2, 0, 6, 6, 1, 10, 6, 1, 10, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 6, 10, 6, 2, 2, 2, 10, 6, 6, 6, 1, 10, 10, 1, 1, 6, 6, 1, 10, 10, 10, 2, 6, 6, 10, 2, 1, 1, 6, 1, 10, 10, 1, 2, 1, 2, 6, 2, 1, 6, 2, 6, 2, 1, 1, 10, 1, 6, 6, 12, 2, 1, 10, 10, 10, 10, 2, 1, 6, 1, 9, 2, 2, 10, 6, 1, 10, 1, 6, 1, 6, 1, 2, 10, 6, 2, 6, 10, 10, 6, 10, 2, 6, 1, 1, 2, 1, 10, 10, 1, 6, 5, 2, 10, 10, 6, 2, 2, 2, 10, 6, 2, 6, 1, 6, 2, 2, 6, 1, 6, 10, 2, 6, 1, 10, 2, 6, 2, 1, 1, 6, 1, 6, 60, 2, 10, 2, 9, 6, 1, 1, 2, 1, 10, 2, 1, 6, 10, 2, 1, 2, 2, 10, 1, 10, 2, 2, 1, 1, 10, 6, 10, 10, 6, 1, 6, 6, 10, 1, 1, 1, 2, 6, 1, 5, 6, 10, 6, 2, 6, 2, 6, 10, 1, 1, 10, 2, 1, 10, 2, 6, 1, 1, 6, 1, 5, 1, 6, 10, 6, 2, 2, 2, 1, 6, 2, 6, 1, 1, 6, 2, 10, 2, 2, 6, 1, 6, 1, 2, 0, 1, 10, 10, 2, 1, 2, 2, 6, 2, 6, 1, 6, 1, 2, 6, 2, 1, 10, 2, 1, 2, 1, 2, 6, 2, 6, 10, 1, 10, 10, 6, 6, 1, 6, 10, 10, 1, 10, 10, 10, 1, 6, 6, 6, 2, 2, 1, 6, 10, 10, 5, 1, 6, 6, 2, 2, 6, 2, 6, 1, 5, 1, 10, 1, 2, 1, 2, 2, 6, 1, 10, 2, 2, 1, 2, 2, 10, 6, 6, 1, 10, 6, 10, 10, 1, 1, 1, 6, 10, 6, 6, 6, 6, 2, 6, 2, 2, 10, 10, 2, 2, 1, 6, 6, 6, 6, 10, 2, 1, 1, 10, 2, 2, 10, 6, 2, 10, 6, 6, 6, 6, 10, 6, 1, 1, 2, 10, 10, 10, 2, 1, 2, 10, 10, 2, 1, 1, 2, 6, 6, 1, 6, 10, 1, 10, 1, 6, 1, 2, 10, 2, 6, 2, 5, 6, 1, 10, 2, 2, 2, 6, 2, 2, 6, 2, 2, 10, 2, 2, 10, 2, 6, 6, 1, 2, 6, 9, 2, 10, 6, 10, 10, 2, 10, 10, 2, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 10, 6, 6, 6, 2, 10, 2, 1, 2, 2, 2, 6, 0, 6, 10, 6, 2, 2, 10, 6, 1, 6, 10, 6, 1, 2, 4, 1, 6, 2, 1, 10, 6, 6, 1, 10, 6, 6, 10, 6, 6, 2, 10, 1, 2, 6, 10, 10, 1, 1, 10, 2, 2, 6, 1, 2, 2, 6, 2, 2, 2, 4, 2, 0, 1, 2, 2, 10, 9, 2, 10, 6, 10, 10, 10, 1, 2, 1, 6, 2, 10, 2, 6, 10, 6, 1, 1, 1, 6, 10, 6, 4, 2, 1, 1, 1, 10, 6, 6, 1, 6, 2, 1, 6, 10, 10, 2, 6, 9, 6, 2, 2, 1, 1, 2, 10, 6, 6, 10, 6, 5, 6, 10, 6, 6, 6, 1, 1, 6, 10, 1, 10, 1, 6, 6, 6, 1, 10, 2, 10, 9, 10, 2, 1, 6, 10, 6, 6, 10, 1, 1, 10, 5, 2, 6, 1, 1, 6, 10, 1, 0, 2, 1, 1, 1, 6, 2, 10, 6, 6, 10, 1, 10, 1, 10, 4, 1, 6, 6, 1, 1, 1, 2, 2, 1, 1, 1, 1, 6, 10, 1, 0, 6, 6, 6, 1, 10, 10, 6, 1, 1, 6, 2, 1, 0, 10, 6, 1, 6, 1, 2, 6, 2, 1, 10, 1, 2, 6, 1, 1, 1, 1, 10, 10, 10, 6, 2, 2, 10, 10, 2, 2, 6, 6, 6, 10, 6, 1, 10, 2, 6, 2, 6, 2, 10, 2, 6, 2, 6, 6, 1, 6, 2, 10, 2, 10, 2, 6, 2, 10, 1, 6, 6, 1, 2, 6, 1, 6, 1, 10, 10, 1, 10, 2, 4, 2, 9, 2, 2, 10, 10, 1, 2, 2, 0, 10, 2, 6, 6, 10, 2, 10, 2, 6, 1, 6, 1, 2, 10, 6, 6, 1, 0, 10, 10, 6, 6, 0, 2, 6, 10, 10, 2, 2, 2, 5, 10, 10, 9, 2, 10, 2, 10, 2, 2, 6, 1, 1, 10, 2, 1, 1, 2, 10, 2, 6, 10, 1, 6, 10, 2, 1, 2, 10, 6, 1, 1, 10, 6, 6, 1, 6, 2, 1, 6, 2, 2, 5, 1, 6, 1, 2, 10, 10, 10, 10, 6, 4, 10, 10, 2, 6, 1, 10, 1, 1, 2, 2, 6, 10, 6, 6, 0, 6, 2, 6, 4, 10, 1, 2, 2, 2, 10, 2, 6, 2, 6, 4, 10, 6, 6, 1, 9, 2, 5, 10, 10, 10, 2, 2, 2, 10, 1, 10, 10, 6, 2, 1, 1, 10, 9, 10, 2, 6, 10, 6, 6, 10, 6, 10, 1, 1, 6, 10, 2, 1, 1, 1, 6, 2, 6, 2, 10, 6, 2, 2, 2, 1, 6, 2, 1, 1, 6, 10, 2, 10, 6, 10, 2, 2, 10, 2, 1, 10, 1, 5, 1, 1, 10, 6, 1, 2, 6, 10, 1, 10, 1, 2, 2, 6, 1, 10, 1, 4, 6, 1, 6, 6, 1, 1, 6, 1, 10, 10, 2, 1, 2, 10, 2, 1, 2, 6, 6, 6, 10, 4, 0, 10, 6, 1, 10, 2, 1, 1, 1, 10, 6, 2, 6, 2, 1, 1, 1, 6, 1, 4, 2, 6, 1, 10, 10, 10, 10, 6, 2, 1, 2, 6, 10, 1, 6, 10, 2, 10, 6, 10, 2, 1, 1, 10, 5, 6, 6, 10, 2, 6, 10, 10, 10, 2, 2, 2, 10, 2, 1, 10, 2, 10, 6, 2, 10, 6, 6, 6, 2, 1, 10, 2, 2, 6, 6, 1, 4, 1, 10, 10, 6, 10, 1, 1, 10, 6, 2, 6, 6, 1, 10, 10, 10, 1, 10, 9, 1, 10, 1, 6, 6, 6, 1, 1, 6, 1, 2, 2, 6, 1, 1, 6, 6, 1, 1, 1, 5, 1, 6, 6, 2, 2, 6, 10, 2, 1, 6, 6, 10, 1, 10, 1, 1, 10, 1, 6, 6, 6, 10, 6, 6, 2, 10, 10, 2, 10, 10, 1, 2, 10, 10, 1, 10, 6, 2, 6, 6, 6, 6, 10, 2, 6, 1, 1, 10, 1, 1, 10, 2, 10, 10, 6, 6, 2, 10, 1, 2, 2, 4, 1, 2, 1, 10, 10, 10, 10, 10, 2, 1, 6, 1, 1, 2, 6, 6, 10, 1, 1, 6, 2, 6, 2, 2, 6, 10, 10, 1, 2, 2, 1, 6, 10, 1, 2, 2, 2, 10, 2, 10, 6, 10, 10, 6, 1, 10, 10, 6, 1, 10, 6, 10, 10, 2, 6, 6, 1, 10, 1, 2, 2, 1, 6, 6, 6, 2, 2, 4, 10, 2, 6, 6, 1, 10, 6, 2, 6, 10, 2, 6, 2, 6, 10, 1, 6, 1, 1, 1, 1, 10, 2, 2, 1, 2, 6, 2, 6, 2, 10, 10, 6, 6, 1, 6, 2, 6, 1, 10, 1, 6, 6, 2, 6, 10, 6, 1, 1, 2, 6, 10, 1, 2, 2, 10, 2, 6, 10, 1, 10, 10, 6, 6, 1, 6, 10, 6, 6, 10, 2, 2, 2, 6, 1, 1, 6, 2, 10, 10, 2, 10, 10, 1, 2, 1, 0, 2, 1, 6, 1, 9, 1, 6, 1, 2, 6, 1, 1, 1, 6, 6, 6, 2, 6, 10, 1, 6, 1, 10, 10, 10, 10, 2, 2, 2, 1, 10, 1, 10, 2, 10, 6, 1, 1, 10, 10, 2, 6, 6, 5, 10, 1, 1, 10, 2, 10, 2, 1, 1, 10, 6, 2, 1, 1, 10, 6, 2, 1, 6, 2, 6, 10, 2, 10, 10, 2, 2, 6, 1, 1, 2, 2, 6, 1, 2, 6, 2, 1, 6, 1, 10, 6, 10, 10, 6, 1, 6, 2, 10, 10, 9, 2, 6, 6, 10, 1, 2, 10, 1, 6, 10, 2, 1, 1, 10, 1, 1, 6, 6, 1, 1, 6, 6, 1, 10, 2, 2, 10, 6, 10, 1, 10, 1, 2, 10, 2, 6, 2, 2, 1, 6, 6, 6, 10, 1, 2, 2, 1, 6, 1, 10, 6, 2, 6, 1, 10, 6, 10, 2, 10, 10, 10, 1, 1, 6, 2, 10, 1, 1, 2, 6, 2, 2, 6, 10, 2, 2, 10, 10, 2, 10, 10, 10, 6, 2, 6, 6, 10, 1, 10, 9, 1, 6, 2, 2, 9, 1, 10, 1, 1, 2, 1, 6, 1, 6, 10, 2, 1, 1, 6, 1, 10, 10, 6, 10, 1, 10, 1, 10, 1, 2, 9, 10, 0, 6, 1, 1, 1, 2, 6, 6, 10, 2, 10, 10, 2, 1, 10, 10, 6, 1, 10, 1, 2, 1, 6, 2, 1, 1, 2, 1, 6, 10, 1, 2, 10, 1, 10, 10, 2, 6, 6, 6, 1, 10, 1, 10, 2, 10, 6, 10, 0, 2, 6, 6, 2, 10, 1, 6, 6, 1, 2, 2, 10, 6, 6, 2, 10, 2, 6, 2, 2, 2, 2, 1, 10, 1, 1, 2, 10, 6, 6, 1, 2, 2, 10, 6, 10, 2, 1, 10, 10, 1, 2, 2, 2, 1, 2, 10, 0, 1, 10, 2, 10, 2, 6, 2, 2, 6, 6, 6, 2, 6, 1, 10, 6, 1, 10, 2, 10, 6, 2, 10, 10, 10, 2, 1, 6, 10, 10, 6, 10, 0, 2, 2, 1, 6, 2, 1, 6, 1, 6, 2, 6, 1, 1, 10, 6, 1, 1, 1, 6, 6, 2, 6, 2, 1, 6, 1, 6, 2, 6, 6, 6, 2, 2, 6, 10, 2, 10, 1, 6, 10, 10, 10, 1, 2, 1, 6, 10, 1, 1, 1, 6, 10, 2, 6, 10, 10, 10, 6, 10, 9, 1, 6, 6, 1, 6, 6, 6, 6, 5, 4, 2, 10, 2, 10, 1, 1, 6, 6, 1, 6, 6, 2, 10, 10, 1, 6, 1, 10, 2, 2, 1, 6, 1, 2, 1, 1, 2, 2, 1, 6, 2, 6, 6, 6, 40, 1, 6, 2, 2, 6, 2, 2, 6, 10, 1, 1, 6, 10, 10, 10, 6, 9, 6, 1, 10, 10, 10, 6, 1, 6, 2, 2, 10, 6, 10, 1, 2, 6, 10, 1, 2, 10, 1, 2, 6, 6, 10, 1, 10, 2, 10, 2, 2, 10, 1, 6, 1, 1, 6, 1, 2, 10, 1, 6, 1, 10, 1, 10, 10, 2, 10, 6, 2, 1, 10, 2, 1, 1, 6, 6, 6, 6, 6, 10, 2, 2, 10, 1, 6, 1, 10, 1, 2, 1, 2, 10, 2, 6, 10, 10, 1, 6, 10, 1, 2, 10, 2, 10, 2, 10, 2, 10, 1, 2, 6, 10, 6, 2, 10, 1, 6, 2, 2, 1, 6, 2, 10, 1, 1, 10, 1, 2, 6, 1, 2, 1, 2, 10, 1, 1, 6, 2, 6, 6, 0, 2, 6, 6, 6, 6, 1, 1, 6, 1, 10, 10, 1, 6, 1, 2, 2, 1, 2, 6, 1, 1, 10, 2, 10, 1, 6, 2, 1, 1, 6, 9, 6, 6, 2, 1, 6, 10, 2, 10, 10, 2, 10, 6, 10, 10, 6, 6, 4, 10, 1, 5, 2, 10, 6, 1, 1, 2, 6, 6, 6, 2, 2, 2, 2, 2, 10, 10, 6, 10, 1, 1, 1, 2, 1, 2, 1, 10, 10, 2, 10, 2, 6, 2, 10, 2, 2, 2, 1, 2, 10, 1, 10, 2, 10, 6, 2, 10, 6, 10, 2, 6, 10, 9, 6, 6, 1, 1, 10, 1, 10, 10, 1, 9, 2, 10, 10, 2, 1, 1, 2, 10, 6, 2, 6, 2, 2, 10, 10, 6, 10, 2, 1, 10, 1, 6, 6, 6, 10, 1, 2, 0, 6, 1, 1, 10, 6, 10, 10, 10, 1, 2, 1, 10, 10, 7, 2, 10, 10, 10, 2, 10, 6, 6, 1, 1, 10, 1, 1, 6, 10, 6, 1, 10, 10, 10, 1, 2, 1, 10, 6, 10, 2, 1, 10, 6, 6, 10, 10, 2, 6, 1, 2, 10, 2, 6, 6, 6, 1, 1, 1, 1, 2, 10, 2, 6, 6, 1, 1, 10, 10, 2, 6, 10, 1, 10, 10, 10, 1, 1, 6, 1, 10, 10, 10, 1, 1, 2, 2, 6, 1, 6, 10, 1, 6, 0, 2, 1, 6, 2, 1, 10, 6, 2, 6, 1, 10, 6, 6, 6, 6, 1, 2, 1, 10, 2, 2, 6, 1, 6, 2, 6, 6, 6, 2, 6, 10, 10, 2, 10, 10, 10, 5, 6, 2, 2, 10, 2, 2, 6, 10, 6, 1, 2, 10, 1, 10, 6, 2, 6, 6, 2, 1, 1, 10, 1, 10, 6, 10, 6, 2, 2, 6, 10, 6, 1, 6, 10, 1, 9, 1, 1, 1, 1, 2, 10, 6, 10, 1, 1, 10, 10, 6, 1, 1, 2, 1, 6, 2, 2, 9, 1, 1, 1, 10, 6, 2, 6, 10, 2, 1, 1, 1, 1, 6, 2, 6, 1, 10, 1, 1, 6, 10, 1, 1, 1, 9, 10, 10, 10, 6, 2, 40, 1, 1, 1, 6, 1, 1, 2, 10, 10, 1, 6, 2, 6, 6, 10, 1, 10, 6, 6, 4, 10, 2, 2, 1, 1, 2, 2, 2, 10, 10, 1, 10, 10, 1, 1, 1, 10, 6, 1, 1, 1, 2, 10, 10, 2, 6, 2, 1, 2, 10, 10, 1, 6, 1, 2, 1, 2, 6, 1, 6, 1, 6, 2, 10, 10, 1, 1, 2, 6, 9, 6, 6, 10, 6, 1, 2, 10, 2, 2, 6, 6, 6, 6, 6, 1, 1, 10, 2, 10, 6, 2, 10, 2, 6, 6, 10, 6, 10, 6, 10, 1, 1, 6, 6, 1, 6, 2, 10, 1, 10, 2, 2, 0, 6, 2, 2, 2, 10, 6, 1, 2, 10, 2, 2, 1, 1, 4, 2, 10, 2, 10, 2, 10, 6, 6, 6, 10, 6, 2, 2, 0, 2, 10, 2, 1, 2, 9, 2, 10, 10, 2, 2, 2, 10, 2, 1, 2, 1, 10, 6, 6, 10, 10, 1, 10, 10, 6, 2, 1, 2, 10, 10, 2, 1, 6, 6, 6, 1, 10, 2, 6, 6, 0, 6, 1, 6, 6, 2, 2, 1, 6, 6, 6, 2, 10, 10, 2, 6, 6, 10, 10, 6, 6, 10, 2, 1, 1, 1, 6, 1, 2, 6, 1, 6, 1, 1, 0, 6, 10, 1, 10, 6, 10, 10, 1, 6, 2, 6, 1, 10, 1, 1, 10, 2, 1, 2, 2, 2, 10, 10, 1, 10, 10, 10, 6, 2, 2, 6, 10, 6, 1, 6, 10, 6, 2, 6, 1, 10, 10, 2, 6, 6, 6, 1, 2, 6, 10, 1, 2, 0, 1, 6, 6, 2, 1, 1, 10, 6, 10, 1, 1, 6, 10, 6, 6, 2, 10, 1, 10, 10, 10, 1, 0, 10, 1, 2, 1, 1, 1, 6, 10, 2, 2, 10, 1, 1, 2, 1, 6, 6, 2, 2, 1, 2, 6, 2, 2, 2, 1, 1, 1, 2, 6, 2, 10, 1, 6, 6, 6, 10, 1, 6, 10, 1, 1, 6, 2, 10, 10, 1, 10, 2, 10, 1, 10, 6, 2, 2, 10, 0, 2, 6, 1, 2, 10, 1, 6, 10, 2, 6, 10, 10, 10, 6, 2, 2, 6, 10, 5, 6, 2, 10, 6, 6, 2, 2, 10, 10, 10, 1, 6, 10, 2, 1, 1, 1, 10, 10, 1, 6, 1, 10, 2, 10, 6, 1, 1, 10, 1, 10, 2, 1, 10, 1, 10, 1, 10, 6, 6, 1, 6, 1, 6, 6, 2, 6, 2, 6, 6, 10, 2, 10, 1, 2, 1, 2, 2, 1, 10, 1, 1, 6, 6, 10, 6, 2, 1, 10, 10, 10, 2, 6, 2, 6, 2, 2, 1, 10, 1, 1, 2, 10, 10, 6, 2, 1, 10, 1, 2, 2, 1, 1, 1, 6, 1, 6, 1, 2, 1, 6, 6, 1, 10, 2, 1, 2, 6, 6, 6, 2, 1, 10, 6, 10, 10, 10, 2, 10, 1, 2, 1, 9, 10, 2, 2, 6, 0, 1, 2, 6, 6, 10, 6, 10, 2, 1, 1, 2, 1, 10, 1, 2, 2, 10, 6, 10, 10, 2, 10, 6, 10, 6, 1, 1, 6, 2, 10, 10, 10, 6, 2, 1, 1, 6, 2, 6, 10, 2, 10, 6, 6, 2, 1, 6, 6, 6, 10, 6, 6, 1, 1, 1, 1, 10, 2, 6, 1, 1, 1, 2, 1, 10, 1, 6, 1, 10, 2, 1, 6, 2, 6, 2, 2, 2, 2, 2, 1, 2, 10, 6, 6, 10, 6, 2, 6, 6, 10, 10, 6, 10, 1, 10, 1, 10, 6, 6, 6, 10, 6, 2, 6, 10, 6, 6, 2, 10, 2, 6, 2, 10, 2, 1, 1, 2, 6, 10, 1, 4, 1, 1, 6, 1, 6, 10, 1, 6, 2, 10, 4, 1, 6, 2, 10, 1, 2, 6, 2, 1, 6, 10, 2, 1, 6, 2, 4, 1, 6, 2, 1, 2, 5, 1, 1, 2, 10, 6, 10, 0, 10, 1, 6, 1, 1, 9, 1, 2, 6, 2, 2, 2, 10, 1, 2, 10, 2, 10, 6, 2, 10, 2, 10, 2, 10, 4, 6, 2, 10, 1, 1, 2, 2, 1, 2, 1, 2, 1, 6, 1, 6, 1, 10, 10, 1, 6, 2, 6, 6, 6, 10, 6, 6, 6, 1, 6, 1, 1, 6, 1, 6, 1, 6, 2, 10, 1, 10, 2, 10, 10, 6, 2, 10, 2, 9, 1, 6, 10, 1, 2, 10, 10, 10, 6, 1, 5, 1, 6, 2, 2, 6, 6, 0, 6, 10, 10, 1, 10, 10, 10, 2, 1, 1, 10, 6, 6, 10, 10, 1, 6, 10, 6, 1, 2, 6, 2, 10, 6, 10, 2, 1, 10, 1, 1, 1, 1, 2, 2, 6, 6, 1, 2, 1, 1, 2, 6, 10, 6, 1, 1, 10, 1, 1, 1, 10, 6, 2, 1, 6, 2, 10, 5, 10, 1, 1, 10, 1, 10, 10, 2, 6, 2, 6, 10, 6, 1, 6, 1, 10, 5, 6, 10, 1, 5, 1, 1, 1, 2, 6, 10, 6, 2, 6, 6, 2, 2, 2, 1, 9, 4, 6, 2, 10, 6, 1, 10, 1, 2, 10, 2, 2, 1, 6, 2, 2, 0, 10, 6, 10, 6, 6, 2, 1, 2, 1, 6, 6, 6, 9, 2, 10, 6, 2, 6, 6, 6, 2, 6, 10, 1, 6, 1, 6, 1, 6, 10, 1, 2, 6, 6, 6, 2, 10, 10, 10, 1, 1, 1, 6, 6, 6, 1, 1, 2, 2, 6, 1, 6, 6, 1, 1, 1, 10, 1, 2, 10, 2, 2, 10, 6, 2, 6, 6, 1, 1, 1, 2, 6, 6, 10, 1, 10, 2, 2, 6, 2, 10, 2, 1, 10, 1, 1, 1, 1, 10, 6, 1, 1, 5, 10, 6, 6, 6, 1, 6, 2, 1, 10, 2, 6, 2, 10, 1, 6, 10, 6, 10, 6, 6, 6, 5, 6, 6, 10, 2, 2, 6, 10, 10, 1, 1, 2, 1, 6, 1, 10, 2, 6, 1, 2, 2, 6, 1, 6, 2, 2, 2, 10, 2, 1, 1, 6, 6, 1, 6, 6, 1, 2, 2, 1, 1, 6, 10, 4, 2, 10, 1, 10, 10, 5, 1, 10, 1, 1, 1, 1, 6, 9, 1, 10, 5, 1, 1, 6, 10, 1, 5, 1, 10, 1, 10, 2, 1, 2, 2, 6, 6, 6, 2, 1, 6, 1, 2, 6, 1, 10, 5, 10, 1, 6, 6, 6, 6, 1, 10, 1, 10, 10, 6, 1, 2, 1, 6, 1, 10, 1, 2, 6, 6, 2, 10, 10, 10, 4, 1, 1, 2, 6, 2, 1, 2, 10, 2, 1, 6, 10, 1, 1, 10, 1, 1, 10, 1, 10, 10, 10, 2, 1, 2, 2, 10, 1, 10, 1, 1, 6, 1, 1, 6, 10, 1, 6, 2, 1, 2, 6, 10, 6, 1, 6, 1, 10, 10, 2, 6, 6, 10, 1, 10, 2, 2, 2, 1, 6, 1, 10, 6, 1, 6, 2, 2, 10, 2, 2, 1, 2, 6, 6, 1, 1, 1, 10, 1, 10, 2, 10, 6, 10, 2, 1, 6, 2, 10, 1, 1, 2, 6, 10, 10, 6, 6, 6, 6, 1, 2, 10, 10, 6, 2, 10, 2, 2, 10, 6, 10, 10, 2, 6, 6, 10, 6, 1, 10, 4, 1, 1, 9, 6, 1, 6, 2, 10, 1, 1, 6, 2, 10, 10, 10, 2, 1, 1, 6, 2, 6, 10, 2, 9, 1, 1, 1, 2, 1, 1, 2, 6, 6, 6, 2, 4, 6, 10, 1, 2, 2, 1, 2, 5, 5, 6, 10, 9, 2, 10, 2, 6, 2, 2, 10, 2, 10, 6, 10, 6, 2, 2, 6, 2, 6, 2, 2, 10, 1, 1, 10, 2, 1, 4, 2, 1, 2, 1, 2, 6, 1, 10, 6, 1, 10, 6, 6, 2, 6, 1, 9, 10, 1, 6, 2, 10, 2, 1, 10, 2, 1, 2, 2, 6, 1, 10, 1, 9, 1, 10, 6, 5, 10, 6, 6, 2, 6, 10, 1, 6, 1, 2, 10, 2, 2, 1, 1, 2, 2, 6, 2, 2, 6, 2, 1, 2, 1, 6, 10, 10, 1, 6, 6, 1, 1, 2, 2, 2, 10, 10, 2, 6, 6, 10, 6, 1, 1, 1, 6, 10, 6, 1, 2, 1, 10, 1, 10, 2, 1, 2, 2, 2, 4, 6, 6, 1, 10, 10, 6, 2, 10, 10, 6, 6, 1, 2, 1, 10, 2, 10, 10, 2, 2, 10, 6, 6, 6, 2, 2, 2, 2, 10, 6, 1, 2, 6, 2, 2, 10, 10, 2, 2, 10, 1, 1, 6, 10, 10, 6, 1, 2, 6, 6, 6, 4, 2, 10, 2, 2, 6, 2, 6, 10, 1, 10, 9, 6, 1, 10, 2, 10, 1, 10, 6, 2, 6, 6, 10, 2, 6, 2, 2, 10, 2, 2, 1, 1, 10, 10, 10, 10, 2, 6, 2, 10, 1, 2, 2, 10, 1, 2, 6, 6, 6, 6, 1, 6, 10, 10, 2, 6, 2, 10, 1, 2, 10, 2, 6, 1, 2, 9, 2, 1, 1, 1, 10, 6, 6, 1, 6, 1, 10, 2, 2, 10, 10, 2, 6, 10, 6, 6, 1, 6, 1, 2, 2, 1, 1, 10, 1, 2, 6, 6, 1, 1, 6, 2, 6, 6, 10, 2, 10, 1, 10, 1, 6, 6, 10, 1, 2, 10, 2, 1, 10, 2, 2, 2, 1, 6, 6, 1, 10, 2, 6, 10, 1, 6, 1, 2, 6, 2, 2, 2, 10, 2, 2, 2, 1, 10, 2, 9, 1, 2, 1, 1, 6, 1, 6, 10, 6, 1, 2, 6, 2, 10, 6, 6, 1, 2, 6, 2, 1, 10, 1, 2, 6, 6, 1, 1, 6, 2, 6, 10, 10, 6, 1, 1, 10, 1, 6, 1, 10, 1, 1, 2, 6, 1, 1, 6, 1, 10, 6, 1, 6, 10, 6, 1, 6, 6, 6, 1, 10, 1, 6, 6, 6, 2, 2, 10, 10, 1, 2, 2, 10, 1, 2, 10, 10, 10, 1, 10, 6, 10, 10, 1, 6, 1, 6, 2, 6, 2, 1, 2, 2, 2, 6, 10, 10, 1, 6, 6, 2, 2, 1, 6, 6, 10, 1, 2, 2, 1, 2, 2, 2, 10, 2, 1, 1, 2, 2, 6, 10, 10, 10, 1, 1, 6, 10, 1, 6, 6, 6, 10, 2, 6, 2, 0, 6, 10, 1, 10, 2, 6, 1, 10, 1, 10, 10, 2, 6, 6, 2, 6, 1, 10, 10, 1, 1, 2, 1, 2, 2, 1, 6, 2, 1, 2, 2, 2, 1, 6, 10, 1, 10, 10, 1, 6, 10, 1, 2, 6, 2, 10, 6, 2, 6, 10, 10, 2, 10, 1, 1, 10, 1, 6, 10, 6, 6, 10, 1, 1, 2, 6, 1, 6, 2, 6, 10, 2, 10, 2, 6, 1, 6, 1, 9, 2, 2, 2, 6, 2, 1, 10, 1, 1, 1, 6, 6, 1, 1, 2, 2, 6, 2, 2, 2, 6, 10, 2, 2, 1, 1, 6, 6, 10, 10, 10, 2, 6, 1, 10, 10, 6, 2, 10, 10, 6, 6, 2, 1, 1, 6, 1, 10, 1, 6, 1, 10, 10, 6, 2, 10, 10, 2, 10, 10, 2, 6, 6, 1, 2, 6, 2, 6, 2, 1, 1, 2, 10, 2, 6, 2, 1, 2, 1, 10, 6, 10, 2, 1, 10, 6, 0, 1, 2, 10, 2, 10, 6, 2, 10, 6, 6, 6, 2, 5, 1, 2, 6, 6, 2, 2, 1, 1, 2, 10, 1, 1, 1, 2, 10, 6, 2, 2, 6, 1, 2, 6, 10, 1, 1, 6, 10, 10, 10, 1, 10, 9, 6, 1, 1, 6, 6, 2, 6, 6, 1, 2, 10, 6, 10, 1, 1, 1, 1, 10, 9, 10, 1, 10, 4, 6, 1, 2, 2, 1, 2, 2, 10, 6, 2, 1, 6, 1, 10, 1, 10, 1, 6, 1, 1, 2, 10, 6, 60, 10, 2, 6, 2, 6, 2, 1, 1, 6, 2, 6, 1, 1, 2, 6, 6, 2, 6, 10, 10, 1, 10, 10, 6, 2, 6, 1, 1, 6, 6, 10, 10, 6, 2, 2, 1, 1, 6, 10, 6, 6, 2, 1, 2, 2, 10, 2, 2, 6, 1, 1, 2, 6, 1, 10, 6, 10, 6, 10, 10, 2, 6, 6, 10, 6, 1, 10, 10, 6, 6, 6, 6, 1, 2, 10, 10, 2, 1, 2, 10, 6, 10, 10, 1, 10, 2, 4, 10, 2, 1, 1, 6, 6, 2, 6, 10, 8, 2, 1, 2, 2, 2, 10, 6, 10, 1, 4, 1, 10, 6, 1, 1, 6, 1, 1, 6, 10, 10, 6, 10, 1, 2, 10, 10, 6, 1, 6, 6, 2, 1, 1, 1, 1, 6, 1, 2, 6, 10, 2, 1, 5, 6, 1, 6, 6, 6, 10, 10, 10, 10, 6, 1, 6, 6, 6, 6, 10, 6, 6, 2, 1, 2, 6, 2, 2, 1, 1, 9, 2, 10, 5, 2, 6, 10, 2, 10, 10, 1, 6, 10, 1, 6, 50, 10, 2, 10, 2, 2, 6, 10, 6, 10, 6, 2, 1, 1, 1, 10, 2, 2, 2, 2, 2, 2, 10, 6, 2, 2, 2, 1, 10, 1, 6, 6, 6, 1, 6, 10, 10, 1, 1, 2, 6, 10, 6, 2, 2, 6, 1, 2, 4, 6, 10, 1, 2, 1, 1, 1, 6, 2, 6, 6, 1, 6, 6, 10, 2, 1, 10, 2, 4, 1, 1, 1, 2, 6, 10, 6, 10, 10, 6, 6, 10, 6, 10, 2, 0, 10, 10, 6, 10, 10, 2, 1, 2, 2, 6, 2, 1, 2, 2, 6, 10, 5, 6, 10, 10, 6, 10, 10, 1, 1, 10, 6, 6, 10, 10, 6, 1, 2, 2, 10, 2, 1, 2, 10, 6, 1, 1, 6, 1, 2, 1, 1, 1, 10, 2, 1, 1, 1, 6, 6, 6, 10, 2, 1, 6, 10, 2, 0, 6, 2, 1, 2, 6, 1, 10, 2, 2, 1, 2, 10, 2, 1, 2, 1, 1, 10, 6, 5, 2, 6, 6, 1, 6, 1, 1, 2, 6, 10, 2, 1, 10, 6, 2, 6, 10, 1, 6, 10, 6, 2, 1, 10, 10, 1, 6, 2, 6, 6, 1, 2, 4, 10, 6, 1, 10, 10, 2, 1, 1, 2, 10, 6, 2, 6, 1, 1, 10, 1, 10, 1, 2, 6, 1, 6, 10, 2, 2, 10, 1, 1, 1, 10, 10, 5, 2, 6, 2, 6, 10, 2, 10, 6, 2, 6, 2, 2, 10, 10, 1, 4, 1, 2, 2, 6, 1, 6, 10, 2, 2, 1, 2, 6, 2, 10, 1, 6, 10, 2, 6, 6, 1, 6, 2, 1, 2, 2, 10, 10, 10, 10, 10, 6, 10, 10, 6, 1, 1, 6, 1, 10, 10, 0, 10, 6, 2, 1, 6, 1, 10, 1, 2, 2, 2, 6, 10, 6, 2, 6, 2, 2, 2, 6, 1, 10, 6, 2, 6, 10, 10, 6, 2, 6, 1, 5, 10, 6, 1, 2, 9, 2, 6, 2, 2, 2, 1, 5, 10, 6, 1, 1, 6, 10, 2, 2, 2, 1, 6, 1, 2, 10, 1, 2, 6, 6, 2, 2, 10, 1, 6, 2, 10, 2, 6, 2, 2, 2, 2, 10, 2, 10, 1, 10, 10, 2, 2, 10, 6, 10, 10, 2, 6, 10, 10, 2, 10, 2, 6, 9, 10, 2, 2, 6, 6, 10, 6, 2, 2, 6, 10, 2, 6, 10, 10, 2, 6, 6, 2, 1, 1, 6, 2, 2, 2, 1, 1, 1, 10, 10, 1, 6, 2, 2, 10, 2, 6, 6, 10, 10, 2, 10, 2, 10, 1, 6, 2, 2, 2, 2, 10, 1, 10, 10, 1, 6, 1, 1, 6, 1, 2, 6, 10, 10, 2, 10, 6, 6, 2, 2, 6, 6, 10, 2, 2, 6, 2, 6, 2, 1, 6, 2, 2, 2, 6, 1, 10, 1, 1, 10, 6, 2, 1, 10, 6, 10, 6, 10, 1, 10, 2, 2, 10, 10, 2, 6, 2, 9, 10, 6, 2, 10, 10, 10, 2, 1, 2, 2, 6, 2, 2, 1, 10, 10, 5, 10, 10, 6, 6, 6, 2, 5, 1, 10, 2, 2, 2, 2, 2, 1, 0, 6, 1, 2, 1, 6, 2, 1, 2, 2, 1, 2, 6, 1, 10, 10, 10, 10, 2, 1, 2, 6, 1, 1, 1, 1, 2, 6, 6, 1, 1, 1, 1, 2, 1, 1, 10, 1, 2, 6, 1, 1, 6, 2, 6, 10, 6, 10, 6, 2, 2, 2, 2, 10, 10, 6, 6, 4, 10, 0, 1, 1, 1, 10, 6, 1, 2, 4, 1, 1, 10, 10, 2, 2, 2, 1, 10, 10, 2, 1, 10, 6, 1, 2, 10, 6, 1, 6, 1, 10, 6, 1, 2, 6, 1, 1, 6, 6, 10, 10, 10, 10, 2, 1, 1, 10, 1, 6, 6, 1, 2, 1, 2, 10, 10, 1, 5, 1, 6, 6, 2, 2, 10, 1, 6, 2, 10, 2, 6, 1, 1, 4, 6, 2, 10, 10, 1, 2, 2, 9, 10, 6, 6, 10, 2, 10, 2, 2, 2, 10, 5, 2, 6, 1, 10, 2, 10, 6, 6, 2, 2, 1, 2, 6, 10, 1, 10, 10, 2, 1, 10, 10, 10, 1, 1, 2, 2, 10, 2, 6, 1, 1, 2, 1, 6, 2, 10, 1, 6, 2, 1, 10, 1, 6, 1, 10, 6, 2, 2, 2, 6, 10, 2, 2, 10, 2, 6, 2, 1, 1, 2, 2, 2, 1, 10, 10, 6, 10, 10, 6, 2, 1, 10, 4, 1, 6, 2, 2, 6, 6, 9, 10, 10, 10, 1, 6, 10, 1, 2, 6, 10, 1, 10, 10, 2, 4, 1, 10, 1, 4, 10, 6, 6, 10, 1, 6, 6, 1, 6, 1, 1, 10, 10, 2, 10, 10, 10, 6, 10, 2, 6, 1, 1, 6, 1, 2, 10, 10, 2, 1, 2, 10, 2, 6, 6, 6, 6, 10, 6, 2, 10, 10, 10, 2, 6, 2, 0, 10, 2, 10, 2, 10, 10, 2, 2, 2, 1, 2, 1, 10, 6, 2, 1, 6, 1, 2, 1, 1, 2, 1, 6, 1, 6, 10, 10, 6, 2, 10, 2, 1, 2, 2, 1, 10, 2, 1, 10, 6, 2, 4, 1, 2, 10, 6, 1, 1, 2, 6, 6, 6, 2, 6, 10, 6, 1, 2, 1, 1, 10, 6, 2, 10, 6, 10, 1, 6, 2, 6, 10, 1, 1, 2, 9, 6, 6, 10, 6, 2, 1, 6, 1, 6, 2, 2, 1, 1, 5, 1, 6, 6, 10, 1, 6, 1, 1, 10, 2, 6, 10, 10, 10, 6, 2, 6, 2, 2, 10, 6, 2, 10, 1, 6, 2, 9, 6, 2, 1, 1, 6, 9, 10, 1, 2, 2, 2, 10, 1, 0, 10, 6, 1, 10, 10, 1, 10, 2, 6, 6, 10, 2, 2, 10, 1, 1, 10, 6, 10, 2, 6, 0, 1, 1, 1, 2, 2, 2, 10, 2, 1, 10, 2, 2, 1, 2, 10, 6, 6, 1, 6, 2, 4, 6, 10, 6, 2, 2, 1, 4, 1, 2, 6, 6, 2, 2, 2, 6, 6, 6, 6, 6, 10, 1, 10, 10, 1, 6, 1, 2, 10, 10, 1, 2, 1, 2, 6, 4, 6, 10, 10, 2, 5, 6, 5, 0, 10, 6, 10, 10, 2, 2, 6, 2, 10, 1, 1, 1, 6, 10, 10, 1, 10, 10, 6, 1, 2, 1, 10, 1, 1, 1, 1, 6, 10, 1, 6, 6, 2, 1, 2, 1, 5, 10, 1, 2, 6, 1, 2, 6, 6, 2, 2, 6, 1, 2, 10, 10, 2, 2, 10, 2, 6, 10, 6, 6, 1, 6, 1, 2, 2, 9, 1, 1, 9, 6, 6, 2, 1, 10, 2, 1, 2, 1, 10, 10, 6, 10, 2, 2, 2, 10, 2, 1, 1, 10, 1, 2, 6, 1, 1, 1, 6, 2, 6, 6, 10, 2, 1, 1, 6, 10, 10, 10, 2, 2, 6, 2, 2, 2, 6, 2, 6, 6, 6, 10, 10, 10, 2, 10, 10, 10, 10, 1, 1, 10, 6, 1, 6, 10, 1, 1, 6, 10, 2, 1, 2, 10, 1, 6, 10, 10, 1, 2, 10, 10, 6, 10, 1, 10, 6, 6, 2, 2, 10, 10, 6, 6, 6, 1, 6, 6, 10, 1, 5, 6, 6, 1, 10, 2, 6, 2, 2, 4, 2, 1, 2, 6, 6, 6, 6, 1, 10, 2, 2, 10, 6, 10, 1, 10, 6, 10, 10, 1, 1, 1, 2, 6, 1, 6, 6, 10, 10, 1, 6, 6, 10, 2, 6, 1, 2, 2, 2, 1, 10, 2, 10, 10, 1, 10, 10, 2, 6, 2, 9, 10, 2, 1, 6, 10, 1, 8, 2, 1, 10, 6, 6, 6, 1, 6, 10, 1, 10, 6, 2, 1, 1, 2, 10, 10, 10, 6, 6, 6, 2, 10, 10, 6, 0, 2, 2, 6, 10, 2, 6, 2, 2, 9, 6, 2, 1, 1, 10, 2, 10, 1, 6, 10, 2, 10, 6, 1, 6, 10, 2, 2, 2, 2, 2, 6, 10, 10, 1, 2, 6, 10, 1, 2, 6, 10, 2, 2, 1, 10, 1, 1, 1, 10, 2, 10, 6, 6, 6, 1, 6, 10, 6, 10, 1, 2, 1, 1, 1, 10, 6, 6, 2, 1, 2, 6, 10, 10, 10, 1, 6, 2, 2, 6, 2, 6, 2, 1, 10, 2, 1, 2, 2, 10, 6, 6, 2, 6, 6, 2, 6, 10, 1, 6, 10, 1, 2, 1, 5, 40, 1, 6, 2, 10, 10, 1, 6, 2, 10, 10, 2, 2, 6, 6, 1, 6, 1, 0, 6, 1, 5, 6, 6, 1, 2, 2, 2, 1, 6, 1, 6, 10, 6, 2, 1, 6, 2, 10, 10, 6, 10, 6, 6, 10, 1, 9, 1, 1, 6, 2, 2, 2, 10, 6, 2, 1, 1, 2, 6, 1, 6, 2, 6, 2, 6, 6, 10, 10, 6, 2, 2, 6, 5, 1, 2, 2, 2, 2, 2, 1, 6, 1, 0, 10, 2, 2, 1, 10, 10, 1, 2, 1, 6, 6, 2, 4, 6, 6, 10, 6, 6, 1, 10, 1, 10, 1, 2, 1, 10, 10, 6, 1, 1, 1, 2, 6, 10, 2, 2, 2, 6, 10, 2, 5, 1, 10, 10, 2, 1, 1, 6, 5, 10, 1, 6, 6, 6, 2, 1, 2, 10, 2, 1, 2, 6, 2, 6, 6, 10, 10, 10, 1, 1, 2, 2, 0, 1, 1, 2, 2, 10, 1, 2, 2, 1, 10, 6, 10, 1, 2, 10, 2, 6, 2, 10, 6, 2, 1, 10, 2, 6, 6, 6, 10, 2, 1, 1, 10, 6, 2, 10, 6, 6, 10, 2, 1, 10, 1, 6, 40, 2, 6, 6, 2, 1, 2, 6, 6, 2, 6, 1, 2, 1, 10, 1, 1, 1, 10, 10, 2, 6, 6, 6, 6, 1, 2, 1, 1, 10, 10, 1, 2, 1, 1, 2, 1, 6, 1, 1, 10, 10, 10, 6, 10, 0, 9, 10, 6, 6, 0, 2, 1, 10, 2, 6, 6, 6, 10, 10, 1, 1, 1, 10, 2, 9, 6, 6, 6, 6, 2, 2, 6, 1, 10, 6, 10, 2, 2, 1, 10, 1, 2, 4, 6, 2, 1, 2, 10, 10, 6, 10, 1, 10, 1, 10, 6, 6, 6, 6, 6, 2, 10, 6, 6, 6, 1, 10, 10, 6, 2, 6, 10, 10, 10, 1, 10, 1, 10, 1, 2, 10, 6, 10, 10, 1, 6, 2, 6, 6, 2, 4, 10, 2, 9, 10, 2, 2, 2, 10, 6, 6, 6, 2, 6, 6, 10, 1, 1, 2, 6, 1, 1, 10, 6, 2, 1, 6, 6, 6, 1, 6, 6, 10, 10, 1, 2, 10, 10, 1, 1, 10, 6, 10, 2, 6, 1, 1, 6, 1, 10, 6, 1, 10, 2, 6, 1, 6, 0, 6, 10, 1, 1, 6, 10, 2, 2, 2, 2, 6, 2, 2, 2, 1, 10, 6, 10, 6, 1, 6, 6, 1, 6, 6, 2, 1, 4, 2, 6, 1, 2, 6, 1, 10, 1, 6, 1, 6, 1, 1, 1, 6, 1, 1, 6, 6, 2, 0, 10, 6, 10, 2, 10, 2, 6, 2, 10, 2, 6, 2, 1, 6, 10, 2, 1, 10, 6, 1, 6, 4, 1, 1, 1, 10, 2, 2, 10, 6, 10, 1, 1, 6, 2, 6, 6, 2, 1, 10, 6, 10, 10, 2, 6, 6, 9, 1, 10, 2, 6, 2, 6, 10, 6, 10, 2, 10, 6, 2, 10, 1, 1, 1, 6, 2, 2, 10, 6, 6, 2, 2, 1, 6, 1, 2, 1, 2, 10, 2, 6, 4, 6, 2, 5, 10, 10, 10, 10, 2, 2, 10, 1, 10, 1, 6, 2, 1, 6, 2, 1, 1, 10, 10, 10, 1, 6, 1, 1, 1, 6, 4, 2, 2, 10, 10, 2, 6, 1, 1, 6, 2, 2, 6, 6, 10, 6, 2, 2, 6, 6, 6, 10, 2, 10, 0, 10, 2, 1, 1, 6, 8, 2, 10, 10, 10, 2, 1, 1, 1, 2, 2, 10, 1, 2, 6, 6, 1, 1, 1, 6, 6, 2, 2, 1, 10, 6, 10, 1, 1, 1, 6, 10, 6, 2, 10, 1, 6, 10, 6, 6, 6, 2, 1, 2, 2, 10, 6, 2, 1, 2, 1, 6, 10, 2, 6, 6, 10, 2, 1, 2, 2, 2, 10, 2, 2, 4, 2, 1, 6, 6, 2, 1, 6, 6, 6, 2, 10, 10, 6, 10, 2, 10, 2, 6, 1, 1, 10, 10, 6, 1, 1, 6, 2, 6, 1, 1, 2, 2, 0, 1, 2, 6, 2, 2, 6, 2, 2, 1, 2, 2, 6, 10, 6, 2, 1, 2, 10, 2, 6, 10, 2, 2, 2, 6, 2, 10, 10, 6, 5, 2, 6, 10, 10, 10, 2, 1, 1, 2, 2, 2, 2, 2, 6, 1, 6, 10, 6, 1, 10, 10, 1, 6, 2, 6, 2, 10, 1, 0, 4, 1, 1, 2, 2, 6, 10, 1, 10, 0, 1, 6, 1, 5, 1, 1, 10, 2, 2, 4, 6, 10, 1, 2, 10, 1, 10, 6, 10, 1, 1, 6, 1, 6, 1, 6, 6, 10, 1, 1, 1, 10, 1, 1, 6, 2, 1, 6, 6, 2, 6, 2, 1, 6, 2, 1, 1, 10, 4, 10, 2, 2, 0, 6, 10, 2, 2, 1, 6, 2, 10, 4, 6, 10, 2, 5, 1, 6, 2, 10, 10, 2, 1, 10, 1, 1, 6, 2, 2, 6, 10, 2, 6, 2, 2, 0, 1, 0, 1, 10, 10, 2, 6, 2, 2, 1, 2, 4, 1, 1, 6, 1, 6, 6, 1, 10, 4, 6, 6, 2, 2, 2, 2, 0, 6, 6, 2, 1, 10, 1, 2, 1, 1, 10, 2, 6, 1, 10, 6, 10, 10, 2, 2, 10, 10, 6, 1, 10, 2, 5, 10, 2, 1, 1, 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10, 10, 10, 10, 10, 6, 10, 10, 1, 10, 6, 10, 1, 10, 10, 1, 1, 10, 2, 1, 2, 10, 10, 5, 6, 6, 1, 2, 2, 1, 5, 10, 1, 2, 1, 2, 10, 1, 2, 10, 10, 2, 2, 1, 10, 6, 10, 10, 1, 2, 2, 1, 1, 2, 10, 1, 1, 2, 1, 6, 6, 2, 2, 1, 10, 1, 2, 2, 10, 10, 6, 10, 10, 10, 10, 6, 0, 10, 6, 1, 1, 10, 2, 2, 6, 2, 10, 2, 2, 10, 10, 10, 2, 6, 1, 1, 6, 10, 6, 10, 1, 2, 6, 1, 2, 2, 2, 6, 6, 10, 10, 1, 6, 1, 6, 1, 6, 10, 10, 6, 2, 6, 6, 2, 10, 2, 6, 10, 10, 1, 6, 1, 6, 10, 1, 10, 2, 10, 1, 1, 6, 1, 6, 6, 10, 6, 6, 6, 2, 2, 1, 2, 10, 6, 10, 6, 2, 10, 1, 6, 1, 2, 6, 1, 10, 10, 2, 10, 1, 2, 2, 2, 1, 10, 1, 1, 1, 1, 2, 10, 6, 1, 1, 10, 1, 1, 10, 10, 6, 10, 1, 10, 2, 2, 2, 1, 10, 2, 6, 6, 10, 10, 6, 6, 2, 1, 6, 1, 6, 6, 1, 9, 6, 6, 10, 5, 2, 4, 1, 10, 10, 6, 2, 2, 2, 2, 10, 1, 10, 2, 0, 2, 10, 10, 10, 6, 10, 10, 10, 6, 6, 1, 2, 6, 10, 10, 6, 2, 10, 2, 10, 10, 10, 10, 6, 6, 6, 2, 10, 2, 2, 1, 4, 1, 1, 2, 1, 0, 2, 10, 1, 5, 6, 1, 2, 10, 2, 4, 1, 2, 1, 2, 10, 6, 6, 6, 6, 2, 1, 2, 10, 10, 1, 2, 6, 2, 6, 1, 10, 6, 1, 9, 2, 6, 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2, 2, 2, 2, 2, 5, 1, 2, 10, 2, 1, 2, 2, 10, 10, 10, 2, 1, 6, 2, 2, 2, 10, 10, 6, 6, 6, 6, 1, 2, 2, 2, 6, 1, 2, 10, 1, 2, 2, 5, 10, 10, 10, 1, 10, 6, 1, 2, 6, 1, 10, 10, 2, 10, 2, 1, 10, 10, 2, 1, 6, 1, 2, 6, 10, 2, 1, 1, 10, 10, 10, 6, 6, 6, 1, 10, 10, 1, 10, 1, 10, 1, 2, 1, 1, 6, 4, 6, 1, 1, 6, 2, 1, 1, 2, 1, 1, 10, 6, 10, 6, 2, 5, 1, 6, 2, 2, 10, 1, 2, 1, 10, 2, 1, 10, 2, 6, 9, 6, 2, 1, 10, 4, 1, 2, 10, 6, 10, 10, 1, 1, 6, 9, 1, 10, 2, 2, 2, 6, 2, 1, 1, 1, 10, 6, 6, 3, 6, 2, 1, 6, 2, 2, 10, 6, 2, 1, 6, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 6, 2, 6, 2, 2, 10, 0, 10, 6, 2, 10, 10, 1, 2, 1, 6, 2, 1, 6, 6, 2, 6, 2, 10, 6, 10, 1, 10, 1, 6, 2, 10, 2, 6, 2, 1, 6, 1, 1, 10, 10, 2, 10, 2, 1, 1, 6, 2, 2, 6, 1, 1, 10, 1, 10, 2, 10, 10, 1, 2, 2, 1, 1, 10, 10, 2, 10, 6, 1, 1, 1, 1, 10, 1, 1, 0, 1, 6, 10, 6, 10, 6, 1, 6, 6, 6, 10, 10, 1, 10, 2, 1, 2, 2, 2, 10, 1, 6, 10, 10, 2, 6, 1, 10, 10, 1, 1, 10, 10, 2, 6, 6, 6, 10, 6, 10, 2, 1, 2, 1, 1, 6, 1, 10, 1, 1, 10, 9, 6, 10, 6, 9, 2, 1, 6, 2, 10, 2, 2, 2, 10, 2, 6, 10, 6, 1, 1, 6, 10, 1, 6, 6, 6, 10, 1, 10, 1, 10, 6, 1, 6, 6, 1, 10, 1, 2, 6, 6, 6, 1, 10, 1, 10, 10, 10, 10, 6, 6, 2, 10, 10, 6, 6, 6, 6, 1, 6, 6, 10, 6, 2, 6, 1, 1, 1, 1, 1, 2, 10, 10, 2, 6, 6, 6, 2, 6, 1, 2, 6, 10, 1, 1, 1, 6, 2, 6, 6, 2, 0, 1, 10, 10, 10, 10, 2, 6, 6, 10, 1, 10, 2, 6, 1, 10, 10, 2, 6, 1, 1, 2, 2, 1, 6, 10, 1, 1, 1, 2, 6, 10, 6, 10, 6, 2, 10, 1, 10, 10, 1, 1, 1, 2, 9, 2, 10, 10, 6, 1, 1, 1, 10, 6, 2, 2, 1, 9, 1, 2, 6, 2, 6, 10, 2, 1, 6, 10, 1, 2, 1, 6, 6, 1, 1, 1, 1, 1, 1, 6, 10, 6, 1, 1, 10, 2, 6, 10, 1, 6, 6, 6, 1, 6, 1, 6, 10, 1, 6, 1, 1, 6, 6, 10, 2, 6, 1, 2, 6, 1, 10, 6, 0, 2, 10, 6, 60, 2, 1, 10, 1, 1, 2, 2, 2, 10, 1, 2, 2, 10, 2, 2, 2, 6, 1, 6, 6, 6, 2, 10, 10, 10, 2, 2, 2, 6, 2, 10, 6, 6, 1, 0, 10, 10, 10, 1, 1, 6, 2, 6, 10, 2, 10, 10, 6, 6, 10, 2, 0, 10, 1, 6, 6, 2, 10, 1, 2, 10, 2, 6, 2, 10, 1, 10, 10, 6, 1, 10, 2, 1, 1, 10, 2, 2, 2, 0, 6, 2, 10, 2, 1, 10, 10, 6, 1, 10, 6, 10, 2, 1, 6, 10, 10, 1, 6, 2, 2, 1, 10, 1, 6, 1, 2, 2, 6, 1, 1, 6, 1, 1, 1, 1, 10, 10, 2, 1, 0, 2, 6, 6, 1, 6, 1, 2, 1, 10, 1, 6, 2, 6, 6, 0, 10, 10, 6, 1, 2, 2, 1, 6, 2, 6, 2, 1, 6, 1, 2, 6, 6, 2, 2, 6, 0, 2, 10, 1, 10, 1, 10, 2, 6, 2, 2, 6, 10, 5, 1, 5, 10, 10, 2, 6, 1, 10, 2, 1, 10, 10, 6, 1, 2, 10, 2, 5, 1, 9, 10, 2, 10, 1, 1, 1, 1, 2, 6, 1, 2, 6, 6, 6, 10, 10, 2, 10, 2, 10, 2, 10, 1, 2, 1, 1, 10, 1, 6, 1, 6, 2, 2, 2, 1, 6, 1, 10, 2, 10, 1, 1, 10, 2, 6, 10, 1, 1, 2, 1, 1, 10, 2, 2, 10, 2, 6, 6, 2, 2, 10, 6, 1, 50, 10, 1, 10, 1, 10, 6, 2, 10, 10, 6, 6, 2, 2, 10, 6, 1, 10, 6, 2, 2, 1, 2, 6, 2, 6, 10, 6, 10, 2, 10, 2, 10, 10, 6, 6, 2, 10, 2, 10, 10, 2, 2, 2, 6, 1, 6, 2, 1, 1, 10, 10, 1, 6, 2, 10, 2, 1, 2, 10, 2, 1, 1, 6, 10, 1, 6, 1, 10, 2, 10, 6, 0, 6, 2, 6, 2, 6, 6, 1, 10, 6, 2, 6, 10, 2, 2, 1, 1, 2, 2, 2, 10, 10, 2, 10, 10, 10, 10, 10, 6, 2, 1, 1, 6, 6, 1, 0, 10, 2, 2, 2, 1, 1, 1, 6, 2, 1, 2, 1, 2, 6, 6, 4, 1, 6, 2, 2, 2, 1, 2, 10, 10, 6, 2, 10, 1, 2, 6, 2, 2, 2, 1, 1, 10, 2, 6, 6, 1, 6, 2, 2, 2, 6, 2, 4, 9, 6, 2, 6, 1, 1, 10, 10, 1, 10, 10, 6, 10, 1, 6, 6, 1, 2, 1, 2, 1, 1, 10, 1, 6, 2, 2, 10, 2, 1, 6, 6, 10, 10, 10, 2, 0, 2, 10, 6, 1, 1, 6, 1, 6, 1, 10, 4, 1, 6, 6, 1, 10, 2, 1, 6, 2, 1, 0, 1, 10, 1, 2, 10, 2, 2, 1, 6, 10, 6, 10, 6, 10, 2, 6, 1, 2, 1, 10, 6, 10, 2, 10, 6, 1, 2, 10, 2, 2, 10, 10, 10, 1, 10, 2, 2, 0, 2, 2, 6, 10, 1, 10, 9, 1, 2, 10, 6, 10, 1, 0, 1, 10, 10, 1, 1, 6, 1, 2, 1, 6, 1, 2, 6, 6, 6, 6, 2, 2, 6, 2, 2, 1, 1, 1, 10, 6, 2, 6, 10, 2, 6, 6, 6, 2, 1, 0, 6, 4, 2, 1, 2, 6, 1, 10, 10, 6, 1, 1, 10, 1, 2, 2, 10, 6, 6, 6, 1, 1, 6, 10, 6, 10, 10, 6, 2, 1, 1, 1, 10, 1, 10, 4, 1, 6, 6, 1, 10, 10, 6, 10, 10, 2, 10, 1, 1, 10, 2, 2, 1, 1, 6, 6, 2, 10, 6, 1, 1, 5, 1, 2, 10, 2, 6, 2, 0, 10, 10, 10, 2, 10, 10, 1, 6, 6, 2, 0, 1, 1, 2, 10, 10, 2, 2, 9, 1, 10, 10, 10, 6, 2, 6, 1, 10, 6, 6, 2, 1, 6, 6, 2, 2, 6, 2, 2, 2, 10, 2, 2, 6, 2, 2, 6, 6, 1, 1, 2, 2, 6, 2, 6, 1, 1, 1, 9, 10, 2, 2, 2, 2, 10, 6, 6, 10, 2, 2, 6, 2, 6, 6, 1, 2, 2, 10, 6, 10, 2, 6, 6, 2, 6, 1, 1, 10, 2, 1, 10, 1, 2, 2, 6, 2, 1, 2, 10, 6, 6, 2, 10, 1, 2, 6, 10, 10, 10, 0, 10, 2, 10, 1, 2, 10, 10, 1, 1, 2, 6, 2, 1, 2, 10, 6, 0, 10, 6, 6, 1, 2, 6, 2, 0, 1, 6, 2, 6, 10, 2, 10, 9, 10, 10, 2, 2, 1, 6, 6, 1, 4, 6, 2, 2, 10, 1, 10, 6, 1, 6, 10, 1, 6, 10, 2, 10, 6, 6, 6, 1, 1, 6, 2, 2, 6, 1, 10, 2, 6, 1, 1, 10, 10, 1, 10, 2, 10, 1, 1, 1, 2, 6, 1, 6, 6, 10, 1, 10, 6, 2, 6, 10, 10, 1, 2, 10, 10, 2, 6, 6, 1, 2, 10, 10, 1, 1, 1, 1, 1, 0, 2, 6, 10, 6, 6, 5, 10, 10, 2, 6, 6, 1, 2, 2, 10, 6, 6, 10, 2, 1, 2, 1, 6, 2, 6, 10, 1, 2, 10, 1, 10, 6, 10, 10, 1, 6, 1, 1, 6, 6, 6, 1, 10, 6, 10, 2, 10, 6, 2, 1, 6, 1, 10, 6, 10, 10, 10, 10, 10, 6, 10, 10, 1, 10, 2, 6, 6, 6, 1, 10, 6, 1, 1, 2, 1, 1, 4, 6, 6, 1, 9, 1, 6, 6, 6, 2, 1, 2, 2, 2, 10, 6, 1, 2, 1, 2, 10, 10, 1, 1, 1, 1, 10, 1, 1, 2, 10, 10, 1, 10, 6, 6, 6, 2, 10, 1, 2, 10, 6, 10, 6, 1, 10, 2, 2, 1, 1, 2, 10, 9, 6, 2, 10, 2, 6, 1, 0, 6, 1, 1, 1, 2, 10, 10, 2, 10, 2, 6, 6, 10, 6, 2, 2, 2, 10, 1, 6, 10, 6, 6, 2, 10, 2, 1, 2, 6, 10, 2, 10, 2, 6, 10, 6, 2, 1, 6, 1, 2, 6, 6, 10, 2, 4, 6, 6, 10, 2, 2, 2, 6, 1, 10, 6, 10, 2, 10, 2, 6, 1, 10, 6, 2, 1, 10, 10, 6, 0, 6, 2, 10, 6, 6, 6, 10, 6, 1, 2, 10, 6, 1, 2, 1, 9, 10, 1, 2, 10, 6, 40, 2, 1, 6, 2, 1, 6, 1, 1, 6, 9, 2, 5, 1, 9, 10, 1, 6, 5, 6, 5, 10, 1, 6, 6, 1, 2, 6, 1, 1, 6, 1, 6, 10, 2, 1, 2, 1, 6, 1, 1, 10, 1, 1, 1, 6, 10, 10, 2, 1, 1, 1, 1, 2, 10, 1, 5, 10, 1, 10, 10, 2, 2, 10, 10, 6, 2, 10, 6, 10, 2, 6, 2, 6, 6, 6, 10, 2, 0, 2, 1, 10, 1, 10, 1, 1, 1, 1, 2, 10, 6, 1, 2, 10, 6, 10, 1, 1, 1, 10, 2, 1, 0, 10, 6, 10, 6, 10, 6, 6, 5, 10, 1, 1, 1, 1, 1, 1, 1, 10, 0, 10, 1, 1, 2, 10, 1, 2, 10, 6, 10, 2, 6, 6, 1, 5, 6, 10, 2, 1, 6, 2, 2, 2, 6, 2, 1, 6, 2, 2, 2, 10, 2, 2, 6, 2, 6, 2, 6, 6, 1, 1, 10, 10, 1, 1, 6, 6, 6, 1, 1, 5, 10, 10, 6, 10, 1, 2, 6, 2, 1, 10, 2, 2, 1, 2, 1, 1, 1, 1, 10, 6, 6, 2, 2, 10, 6, 4, 10, 10, 10, 0, 6, 2, 2, 1, 2, 6, 2, 10, 1, 2, 6, 1, 6, 2, 10, 10, 1, 2, 2, 6, 2, 6, 6, 6, 10, 10, 2, 2, 1, 6, 10, 9, 6, 2, 0, 10, 6, 10, 2, 1, 1, 2, 2, 2, 1, 1, 6, 6, 6, 6, 10, 6, 4, 2, 10, 2, 10, 2, 1, 6, 10, 1, 10, 6, 6, 1, 2, 1, 10, 2, 6, 10, 2, 1, 2, 10, 6, 6, 5, 5, 10, 10, 10, 1, 2, 2, 1, 10, 1, 1, 10, 5, 10, 10, 10, 1, 6, 6, 10, 2, 1, 6, 60, 2, 1, 6, 1, 6, 1, 1, 1, 10, 2, 6, 2, 10, 1, 6, 1, 10, 10, 1, 1, 2, 2, 10, 10, 6, 1, 10, 1, 1, 1, 6, 6, 1, 10, 1, 10, 10, 2, 6, 1, 10, 10, 2, 10, 10, 6, 6, 10, 6, 2, 10, 1, 2, 10, 1, 1, 2, 5, 2, 10, 2, 6, 10, 10, 2, 2, 10, 4, 2, 10, 2, 2, 6, 10, 10, 1, 1, 6, 2, 2, 2, 10, 1, 2, 1, 1, 4, 6, 10, 2, 6, 1, 2, 2, 1, 10, 6, 10, 1, 10, 6, 2, 40, 2, 6, 10, 10, 2, 6, 6, 2, 10, 1, 1, 10, 2, 2, 10, 6, 2, 2, 1, 1, 6, 4, 6, 10, 2, 0, 6, 6, 2, 10, 10, 1, 6, 10, 1, 10, 2, 10, 2, 1, 6, 2, 6, 10, 2, 10, 10, 1, 10, 6, 2, 10, 10, 2, 2, 6, 4, 6, 2, 6, 6, 6, 1, 2, 10, 6, 6, 6, 1, 1, 10, 6, 6, 1, 2, 2, 2, 10, 10, 1, 6, 10, 5, 6, 6, 10, 10, 2, 6, 2, 6, 6, 6, 2, 10, 10, 1, 10, 10, 6, 6, 9, 10, 6, 1, 1, 2, 10, 2, 1, 6, 1, 1, 10, 6, 1, 1, 1, 6, 6, 1, 6, 10, 1, 9, 0, 2, 1, 1, 10, 1, 6, 6, 1, 1, 10, 1, 6, 1, 10, 10, 10, 2, 10, 10, 10, 1, 1, 2, 1, 2, 10, 1, 6, 2, 1, 6, 2, 2, 1, 6, 6, 2, 2, 0, 10, 1, 6, 1, 2, 10, 6, 10, 6, 6, 10, 10, 2, 2, 10, 2, 1, 5, 10, 2, 6, 1, 2, 2, 10, 4, 6, 10, 2, 10, 2, 2, 6, 1, 1, 1, 10, 2, 6, 10, 2, 6, 2, 10, 1, 1, 2, 10, 10, 6, 5, 6, 2, 6, 6, 10, 1, 10, 9, 1, 10, 6, 1, 1, 6, 10, 1, 2, 2, 6, 10, 9, 1, 2, 4, 6, 1, 10, 10, 1, 6, 1, 10, 10, 6, 10, 6, 2, 6, 2, 6, 1, 1, 2, 2, 2, 2, 10, 1, 1, 6, 4, 10, 2, 10, 2, 1, 2, 2, 6, 10, 1, 2, 6, 2, 10, 10, 2, 4, 1, 10, 6, 10, 6, 10, 4, 10, 6, 1, 6, 6, 1, 1, 2, 6, 1, 10, 0, 1, 6, 6, 1, 6, 6, 2, 6, 1, 10, 2, 2, 10, 6, 2, 0, 6, 2, 10, 6, 2, 10, 9, 6, 1, 1, 10, 10, 2, 6, 1, 1, 50, 9, 6, 1, 6, 6, 2, 10, 2, 9, 6, 2, 1, 10, 2, 10, 10, 1, 1, 10, 10, 6, 6, 6, 10, 6, 10, 0, 1, 1, 2, 2, 6, 6, 6, 6, 1, 2, 1, 9, 1, 1, 1, 10, 1, 2, 2, 1, 2, 10, 2, 10, 6, 10, 6, 6, 6, 10, 1, 1, 10, 6, 1, 10, 10, 10, 2, 2, 10, 6, 1, 1, 6, 6, 1, 2, 5, 1, 1, 2, 10, 2, 2, 10, 10, 1, 6, 2, 2, 1, 2, 10, 10, 2, 1, 2, 10, 1, 2, 6, 10, 10, 2, 10, 10, 6, 1, 6, 10, 6, 2, 10, 6, 6, 10, 10, 1, 1, 6, 6, 2, 10, 1, 2, 10, 10, 2, 9, 2, 1, 6, 10, 2, 10, 1, 10, 6, 2, 2, 2, 1, 10, 1, 10, 2, 1, 6, 2, 2, 6, 6, 2, 2, 6, 1, 10, 1, 10, 6, 1, 10, 1, 6, 2, 1, 2, 2, 10, 6, 2, 2, 1, 10, 6, 2, 6, 2, 2, 2, 10, 2, 10, 6, 2, 1, 2, 1, 10, 10, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 10, 6, 1, 10, 10, 2, 1, 2, 1, 6, 2, 2, 6, 10, 10, 2, 10, 10, 2, 10, 1, 2, 1, 2, 2, 10, 10, 6, 1, 1, 2, 2, 1, 1, 1, 6, 2, 1, 10, 6, 2, 2, 10, 1, 1, 10, 10, 6, 10, 10, 1, 1, 10, 6, 1, 10, 5, 6, 2, 10, 1, 0, 2, 1, 6, 2, 1, 2, 10, 10, 6, 1, 10, 10, 6, 4, 1, 10, 2, 6, 10, 2, 10, 1, 6, 10, 2, 1, 2, 6, 6, 10, 2, 10, 6, 6, 9, 10, 10, 10, 6, 10, 1, 1, 6, 2, 1, 1, 6, 10, 6, 10, 2, 2, 1, 6, 10, 2, 10, 6, 1, 6, 10, 6, 1, 10, 10, 1, 5, 6, 10, 1, 1, 6, 6, 5, 10, 10, 2, 6, 2, 1, 2, 6, 6, 10, 6, 1, 1, 1, 2, 6, 1, 2, 1, 10, 1, 2, 2, 1, 2, 10, 1, 10, 10, 1, 6, 10, 10, 6, 6, 2, 2, 1, 6, 4, 2, 1, 2, 2, 6, 10, 10, 6, 2, 1, 10, 5, 6, 1, 6, 1, 6, 10, 6, 2, 10, 10, 6, 6, 2, 1, 1, 6, 10, 5, 2, 1, 1, 1, 2, 1, 2, 1, 10, 1, 10, 10, 1, 2, 2, 1, 6, 2, 6, 6, 6, 2, 2, 2, 2, 6, 2, 10, 2, 1, 6, 6, 6, 10, 1, 2, 6, 6, 1, 6, 6, 1, 6, 6, 9, 1, 2, 6, 1, 2, 10, 10, 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6, 2, 1, 1, 2, 6, 6, 1, 6, 0, 2, 10, 6, 2, 1, 6, 10, 10, 2, 1, 1, 10, 2, 2, 1, 2, 2, 1, 1, 10, 10, 6, 6, 10, 2, 10, 2, 2, 2, 10, 10, 6, 6, 1, 1, 6, 2, 1, 2, 1, 6, 10, 10, 6, 6, 6, 1, 1, 10, 10, 10, 2, 1, 10, 10, 10, 6, 6, 1, 1, 1, 5, 1, 2, 1, 1, 1, 2, 10, 1, 1, 6, 1, 6, 1, 2, 2, 10, 10, 6, 9, 2, 6, 1, 6, 6, 6, 10, 6, 6, 6, 2, 6, 10, 6, 2, 1, 2, 6, 2, 6, 2, 6, 10, 1, 1, 6, 1, 1, 6, 1, 5, 1, 10, 2, 1, 1, 6, 2, 2, 1, 1, 1, 2, 2, 10, 2, 10, 1, 1, 5, 10, 10, 2, 1, 6, 2, 1, 6, 10, 6, 2, 6, 6, 2, 10, 10, 10, 2, 10, 1, 10, 1, 1, 6, 6, 10, 10, 1, 2, 1, 1, 10, 10, 10, 6, 2, 6, 6, 2, 2, 2, 10, 1, 2, 2, 6, 1, 10, 1, 0, 1, 2, 6, 10, 6, 1, 2, 5, 2, 8, 10, 2, 1, 6, 2, 1, 10, 6, 6, 6, 1, 1, 2, 1, 10, 2, 2, 10, 1, 6, 1, 2, 4, 6, 1, 1, 1, 10, 2, 1, 2, 2, 6, 6, 10, 6, 10, 2, 10, 2, 2, 10, 1, 1, 2, 10, 1, 10, 2, 6, 10, 2, 2, 1, 1, 5, 6, 6, 2, 10, 10, 6, 10, 6, 6, 2, 10, 10, 10, 10, 10, 6, 2, 1, 10, 2, 6, 10, 2, 6, 6, 6, 1, 10, 1, 6, 4, 10, 1, 1, 2, 6, 10, 10, 1, 6, 10, 10, 2, 6, 4, 1, 10, 10, 6, 6, 10, 2, 1, 2, 1, 2, 6, 2, 1, 10, 1, 2, 6, 10, 10, 10, 2, 10, 1, 2, 6, 10, 1, 2, 10, 10, 2, 1, 1, 1, 6, 10, 10, 2, 10, 1, 6, 6, 10, 10, 10, 6, 6, 1, 10, 10, 2, 1, 6, 10, 10, 6, 10, 1, 1, 1, 6, 1, 6, 9, 6, 1, 2, 2, 6, 6, 10, 1, 2, 10, 10, 2, 1, 6, 6, 10, 1, 6, 2, 5, 6, 6, 1, 2, 6, 5, 1, 2, 1, 2, 2, 1, 4, 2, 2, 1, 6, 6, 6, 9, 10, 10, 10, 2, 1, 6, 1, 10, 2, 6, 1, 1, 2, 6, 6, 2, 2, 2, 6, 2, 2, 9, 2, 2, 10, 5, 6, 10, 6, 1, 2, 6, 6, 6, 5, 2, 1, 6, 2, 1, 1, 2, 1, 1, 10, 10, 2, 2, 2, 0, 1, 2, 6, 6, 2, 10, 6, 10, 6, 2, 2, 2, 2, 6, 6, 1, 6, 10, 6, 2, 1, 9, 2, 10, 2, 5, 6, 2, 6, 2, 1, 6, 10, 2, 10, 2, 1, 2, 1, 2, 2, 1, 10, 10, 1, 6, 6, 6, 1, 6, 6, 6, 10, 2, 6, 10, 10, 2, 10, 10, 1, 2, 1, 6, 6, 10, 2, 6, 10, 2, 6, 10, 10, 1, 2, 1, 2, 1, 1, 2, 10, 10, 10, 2, 2, 10, 10, 10, 10, 2, 1, 0, 10, 6, 10, 2, 6, 6, 6, 1, 6, 2, 10, 1, 10, 1, 2, 0, 2, 2, 10, 2, 1, 6, 2, 2, 0, 10, 2, 6, 10, 6, 1, 1, 2, 6, 6, 10, 1, 10, 1, 1, 6, 2, 10, 2, 6, 5, 6, 1, 2, 5, 10, 1, 2, 2, 2, 6, 2, 1, 1, 6, 6, 2, 10, 1, 6, 6, 2, 6, 10, 6, 1, 6, 10, 1, 6, 6, 10, 1, 2, 2, 10, 10, 6, 1, 2, 10, 10, 2, 1, 10, 2, 6, 6, 6, 0, 6, 10, 10, 10, 6, 9, 1, 10, 10, 1, 2, 1, 2, 2, 2, 2, 6, 1, 2, 10, 6, 10, 10, 1, 2, 10, 6, 10, 2, 6, 10, 2, 10, 2, 6, 2, 10, 1, 2, 2, 6, 10, 2, 1, 10, 10, 1, 2, 2, 6, 6, 2, 1, 1, 6, 4, 2, 10, 2, 6, 1, 6, 1, 1, 2, 10, 2, 10, 1, 2, 1, 10, 1, 1, 10, 1, 6, 2, 6, 1, 10, 6, 1, 6, 6, 1, 2, 1, 6, 1, 6, 10, 1, 2, 6, 2, 2, 2, 1, 1, 6, 6, 6, 1, 2, 1, 6, 1, 6, 2, 1, 10, 6, 1, 10, 2, 1, 1, 1, 1, 2, 1, 6, 2, 6, 10, 6, 6, 6, 5, 1, 2, 10, 2, 6, 2, 6, 10, 2, 1, 6, 1, 1, 6, 1, 6, 7, 10, 6, 1, 2, 1, 1, 1, 10, 10, 6, 1, 10, 1, 1, 1, 1, 2, 1, 2, 10, 10, 10, 2, 10, 1, 6, 6, 10, 6, 1, 1, 1, 10, 1, 6, 10, 1, 6, 10, 1, 1, 1, 6, 1, 6, 6, 6, 6, 10, 10, 1, 1, 6, 2, 2, 2, 1, 6, 1, 1, 6, 10, 1, 2, 1, 6, 10, 2, 10, 2, 6, 6, 6, 6, 6, 2, 10, 1, 10, 6, 10, 1, 10, 1, 2, 1, 10, 2, 2, 10, 10, 10, 1, 6, 1, 2, 2, 2, 10, 10, 2, 6, 5, 10, 6, 2, 10, 10, 10, 6, 10, 1, 10, 1, 6, 2, 1, 2, 1, 10, 6, 2, 1, 10, 1, 10, 6, 6, 1, 6, 2, 6, 2, 6, 10, 10, 10, 10, 5, 10, 10, 10, 2, 6, 4, 6, 10, 2, 10, 6, 2, 2, 5, 6, 6, 1, 2, 10, 1, 6, 1, 6, 6, 2, 6, 2, 2, 1, 1, 6, 2, 1, 2, 1, 1, 10, 10, 0, 1, 2, 2, 2, 6, 10, 10, 6, 2, 1, 6, 0, 6, 2, 2, 0, 1, 6, 1, 1, 2, 2, 2, 1, 1, 2, 10, 6, 6, 6, 1, 2, 9, 2, 10, 2, 1, 6, 6, 1, 2, 6, 6, 1, 1, 6, 6, 1, 10, 6, 1, 1, 2, 2, 10, 1, 6, 2, 1, 1, 10, 6, 4, 10, 6, 0, 2, 2, 1, 10, 10, 2, 1, 6, 10, 2, 6, 2, 5, 5, 6, 6, 10, 9, 10, 10, 10, 2, 2, 2, 2, 10, 2, 6, 2, 10, 6, 1, 6, 10, 1, 40, 1, 10, 1, 10, 2, 1, 2, 6, 1, 6, 10, 6, 6, 5, 6, 6, 6, 1, 1, 10, 1, 2, 2, 2, 1, 10, 1, 2, 1, 6, 6, 10, 10, 10, 2, 1, 0, 6, 10, 6, 2, 10, 2, 1, 10, 10, 8, 10, 2, 1, 6, 1, 6, 1, 2, 10, 2, 10, 1, 6, 2, 1, 2, 1, 6, 2, 1, 10, 6, 2, 1, 6, 6, 10, 2, 9, 6, 10, 2, 6, 1, 2, 10, 6, 2, 2, 2, 1, 1, 6, 6, 1, 6, 10, 5, 1, 6, 2, 6, 6, 6, 10, 10, 10, 6, 2, 1, 6, 6, 1, 1, 2, 2, 1, 1, 40, 4, 2, 6, 10, 1, 2, 6, 1, 2, 10, 2, 6, 1, 10, 1, 6, 10, 1, 6, 2, 2, 1, 10, 10, 10, 6, 1, 2, 10, 7, 6, 10, 1, 1, 6, 6, 10, 6, 10, 1, 10, 6, 1, 6, 2, 1, 10, 2, 2, 10, 1, 1, 10, 6, 9, 10, 2, 6, 2, 1, 6, 2, 2, 10, 2, 1, 4, 1, 2, 10, 10, 2, 1, 10, 6, 10, 6, 2, 2, 6, 6, 2, 6, 6, 6, 6, 10, 7, 10, 1, 6, 6, 6, 10, 10, 1, 6, 10, 6, 6, 10, 10, 6, 10, 6, 1, 2, 10, 6, 2, 6, 9, 6, 10, 6, 10, 1, 2, 6, 6, 2, 1, 6, 10, 6, 1, 6, 6, 1, 1, 2, 6, 6, 6, 10, 10, 6, 2, 1, 1, 1, 10, 1, 10, 6, 6, 6, 6, 1, 1, 5, 10, 6, 1, 1, 2, 10, 6, 6, 1, 6, 10, 6, 2, 10, 6, 1, 1, 10, 5, 6, 2, 5, 6, 1, 6, 6, 2, 6, 6, 6, 1, 1, 10, 1, 6, 2, 6, 6, 6, 2, 1, 2, 6, 2, 1, 10, 6, 9, 6, 1, 2, 4, 1, 6, 1, 2, 2, 10, 2, 1, 6, 10, 10, 2, 4, 6, 1, 2, 2, 6, 1, 2, 6, 2, 4, 6, 2, 2, 1, 1, 10, 1, 6, 2, 10, 1, 6, 6, 1, 10, 10, 6, 10, 2, 10, 10, 1, 2, 6, 10, 10, 2, 1, 6, 10, 1, 1, 6, 1, 10, 2, 2, 2, 1, 1, 10, 10, 10, 4, 10, 2, 10, 6, 10, 10, 2, 6, 6, 6, 6, 2, 10, 2, 1, 10, 6, 1, 10, 10, 2, 6, 0, 6, 2, 2, 6, 2, 6, 1, 6, 6, 6, 2, 1, 10, 2, 10, 10, 1, 1, 1, 1, 10, 1, 1, 2, 6, 10, 2, 1, 2, 1, 6, 2, 2, 4, 1, 1, 1, 4, 6, 1, 1, 1, 6, 10, 2, 9, 10, 1, 2, 10, 6, 1, 10, 1, 2, 1, 2, 6, 6, 6, 6, 10, 10, 1, 6, 10, 1, 1, 2, 6, 2, 2, 10, 2, 2, 6, 1, 6, 2, 10, 1, 1, 6, 1, 10, 6, 10, 10, 1, 6, 5, 6, 10, 10, 1, 6, 6, 10, 6, 1, 6, 10, 2, 6, 6, 6, 6, 6, 6, 10, 2, 1, 6, 9, 6, 2, 10, 10, 2, 2, 2, 1, 10, 10, 1, 6, 6, 10, 10, 10, 6, 2, 6, 1, 2, 1, 10, 2, 1, 2, 6, 10, 6, 2, 10, 10, 6, 1, 10, 6, 2, 6, 2, 2, 2, 6, 10, 6, 2, 4, 2, 10, 1, 1, 2, 10, 1, 1, 1, 6, 6, 6, 1, 2, 10, 2, 10, 10, 2, 2, 10, 1, 6, 2, 6, 6, 1, 1, 1, 10, 6, 10, 10, 4, 6, 6, 2, 6, 10, 1, 1, 1, 2, 10, 1, 0, 2, 6, 2, 2, 1, 2, 1, 1, 10, 2, 2, 10, 10, 6, 10, 1, 6, 2, 6, 2, 4, 2, 10, 1, 6, 2, 1, 6, 1, 1, 2, 2, 6, 4, 10, 2, 6, 2, 0, 1, 6, 10, 2, 6, 6, 1, 2, 2, 2, 6, 2, 1, 10, 2, 10, 0, 6, 2, 1, 10, 10, 10, 10, 6, 6, 2, 1, 2, 6, 10, 6, 10, 1, 2, 1, 1, 4, 1, 6, 10, 1, 1, 1, 1, 2, 1, 10, 5, 6, 2, 10, 10, 2, 6, 6, 1, 6, 10, 6, 10, 6, 1, 6, 2, 6, 6, 2, 6, 2, 10, 2, 1, 1, 1, 6, 10, 6, 1, 2, 1, 2, 1, 10, 9, 6, 1, 2, 2, 6, 2, 1, 2, 6, 2, 2, 6, 6, 1, 1, 1, 1, 2, 1, 2, 6, 1, 2, 10, 2, 2, 1, 6, 1, 6, 10, 1, 1, 6, 1, 2, 1, 10, 1, 6, 4, 10, 1, 1, 10, 10, 1, 2, 10, 2, 2, 10, 6, 6, 1, 2, 1, 1, 1, 2, 6, 2, 6, 1, 2, 10, 1, 2, 1, 10, 2, 2, 6, 10, 2, 10, 10, 2, 1, 2, 1, 1, 1, 2, 6, 6, 10, 6, 10, 1, 1, 10, 2, 6, 10, 10, 1, 2, 2, 10, 6, 10, 1, 1, 1, 6, 2, 2, 10, 6, 10, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 6, 10, 10, 10, 10, 6, 6, 10, 2, 10, 6, 1, 2, 1, 10, 1, 2, 6, 1, 10, 10, 6, 2, 6, 6, 6, 10, 1, 10, 1, 6, 6, 4, 1, 2, 6, 10, 10, 10, 2, 2, 10, 10, 1, 2, 10, 10, 6, 1, 2, 6, 2, 1, 1, 2, 40, 1, 2, 6, 10, 1, 6, 2, 10, 0, 2, 10, 2, 2, 10, 2, 2, 6, 1, 1, 2, 2, 2, 2, 10, 10, 1, 1, 6, 6, 2, 1, 10, 10, 10, 10, 2, 2, 6, 6, 7, 2, 10, 10, 2, 10, 6, 1, 10, 1, 1, 2, 1, 2, 6, 6, 10, 1, 2, 2, 6, 6, 2, 4, 6, 6, 6, 6, 6, 6, 1, 6, 2, 6, 2, 10, 2, 6, 2, 1, 10, 1, 10, 2, 4, 2, 0, 10, 2, 1, 10, 2, 6, 1, 1, 0, 1, 10, 9, 1, 2, 10, 10, 2, 10, 10, 2, 6, 6, 2, 10, 2, 1, 6, 1, 2, 10, 10, 6, 10, 5, 0, 1, 5, 10, 10, 10, 1, 10, 6, 2, 2, 1, 2, 6, 10, 10, 1, 6, 2, 1, 10, 6, 1, 10, 6, 1, 10, 10, 1, 6, 6, 2, 1, 10, 6, 2, 2, 10, 10, 10, 6, 10, 1, 2, 6, 6, 2, 6, 2, 2, 6, 1, 10, 1, 6, 10, 2, 10, 2, 6, 2, 10, 6, 10, 10, 10, 2, 2, 10, 10, 1, 6, 10, 1, 1, 1, 1, 10, 1, 1, 10, 10, 6, 6, 6, 1, 10, 1, 1, 6, 2, 10, 1, 10, 6, 6, 2, 6, 1, 2, 10, 2, 2, 2, 10, 9, 10, 2, 1, 10, 1, 1, 2, 2, 6, 1, 10, 1, 2, 1, 2, 4, 2, 1, 10, 1, 2, 10, 2, 1, 10, 1, 2, 6, 60, 10, 10, 6, 6, 10, 6, 6, 10, 6, 2, 1, 6, 10, 6, 10, 1, 2, 2, 2, 1, 10, 2, 10, 2, 10, 10, 1, 2, 10, 2, 1, 2, 1, 4, 2, 6, 10, 2, 2, 10, 6, 6, 2, 2, 2, 6, 1, 6, 2, 2, 2, 2, 1, 1, 6, 1, 1, 1, 1, 1, 1, 10, 10, 2, 6, 9, 4, 6, 6, 10, 1, 6, 6, 1, 6, 10, 10, 10, 1, 2, 2, 2, 6, 1, 2, 1, 6, 1, 6, 2, 6, 2, 6, 2, 2, 6, 0, 10, 10, 1, 2, 10, 2, 6, 2, 6, 2, 1, 1, 10, 10, 2, 2, 2, 6, 2, 2, 1, 2, 6, 10, 10, 6, 2, 2, 6, 6, 2, 2, 1, 6, 1, 2, 6, 6, 2, 1, 4, 1, 9, 1, 10, 1, 10, 6, 6, 6, 10, 1, 1, 1, 10, 1, 6, 1, 6, 6, 2, 2, 6, 6, 2, 6, 6, 6, 6, 2, 1, 2, 1, 1, 6, 6, 2, 2, 10, 6, 2, 1, 10, 10, 6, 10, 10, 6, 10, 2, 2, 10, 1, 2, 6, 1, 6, 10, 6, 6, 2, 10, 6, 1, 10, 1, 10, 1, 10, 2, 2, 2, 10, 10, 10, 2, 6, 2, 1, 6, 6, 2, 1, 10, 2, 1, 2, 10, 6, 2, 10, 6, 6, 2, 2, 2, 1, 10, 2, 2, 6, 1, 10, 2, 6, 10, 10, 6, 6, 1, 10, 2, 10, 0, 1, 10, 10, 2, 10, 1, 1, 2, 2, 2, 2, 2, 10, 2, 6, 6, 10, 2, 1, 6, 1, 10, 2, 10, 10, 1, 1, 1, 10, 10, 1, 1, 10, 6, 6, 6, 1, 1, 10, 6, 6, 6, 1, 2, 1, 2, 1, 10, 6, 4, 2, 10, 1, 2, 6, 6, 1, 10, 2, 1, 2, 10, 1, 6, 6, 1, 2, 10, 6, 1, 2, 2, 10, 10, 10, 1, 6, 6, 2, 10, 1, 1, 6, 6, 1, 6, 1, 2, 1, 1, 2, 2, 2, 6, 1, 10, 6, 10, 2, 6, 10, 10, 10, 6, 1, 6, 10, 10, 2, 2, 2, 6, 6, 10, 2, 1, 2, 2, 10, 1, 10, 6, 2, 6, 1, 10, 2, 1, 1, 10, 6, 1, 2, 1, 1, 6, 1, 2, 10, 2, 2, 6, 1, 1, 10, 10, 10, 6, 6, 2, 10, 2, 6, 2, 9, 1, 2, 10, 1, 1, 6, 4, 1, 1, 2, 2, 2, 10, 1, 1, 6, 5, 1, 2, 6, 6, 10, 10, 6, 1, 1, 1, 10, 6, 6, 10, 10, 10, 6, 10, 10, 6, 60, 2, 1, 2, 2, 10, 1, 10, 6, 10, 1, 6, 10, 6, 2, 1, 10, 6, 10, 2, 10, 6, 10, 2, 10, 6, 2, 2, 6, 1, 1, 1, 2, 10, 1, 2, 10, 10, 1, 6, 1, 10, 10, 2, 6, 6, 6, 1, 2, 1, 10, 10, 2, 6, 2, 6, 9, 6, 1, 6, 1, 2, 2, 6, 6, 10, 2, 2, 1, 6, 1, 2, 0, 1, 10, 2, 1, 10, 6, 2, 1, 1, 1, 6, 6, 1, 1, 1, 10, 2, 10, 2, 1, 6, 1, 2, 10, 6, 1, 2, 2, 10, 6, 6, 6, 2, 10, 2, 1, 10, 10, 1, 2, 2, 2, 10, 2, 6, 10, 2, 10, 2, 1, 6, 1, 6, 6, 1, 10, 2, 2, 6, 1, 10, 2, 10, 10, 10, 10, 2, 1, 10, 1, 10, 1, 1, 1, 1, 1, 6, 6, 10, 2, 5, 1, 6, 2, 1, 5, 1, 1, 2, 10, 10, 10, 10, 10, 10, 2, 2, 1, 10, 10, 10, 6, 4, 6, 6, 1, 2, 2, 10, 6, 2, 10, 6, 10, 1, 10, 2, 6, 2, 10, 10, 6, 1, 1, 2, 5, 1, 10, 6, 2, 1, 2, 2, 1, 1, 10, 6, 6, 2, 2, 10, 2, 6, 6, 10, 6, 6, 2, 1, 10, 10, 2, 6, 10, 6, 1, 10, 2, 2, 2, 2, 6, 2, 1, 6, 10, 6, 10, 10, 2, 10, 1, 6, 1, 6, 6, 10, 2, 6, 10, 1, 6, 1, 2, 5, 1, 10, 1, 1, 1, 10, 1, 1, 6, 10, 1, 6, 2, 1, 4, 6, 2, 10, 1, 2, 2, 2, 2, 1, 6, 10, 10, 2, 2, 10, 2, 10, 0, 0, 10, 10, 6, 6, 6, 1, 2, 1, 6, 2, 2, 1, 2, 1, 6, 2, 2, 1, 10, 10, 2, 1, 2, 6, 2, 6, 2, 10, 10, 1, 2, 10, 1, 1, 1, 10, 10, 6, 2, 10, 10, 2, 1, 5, 10, 6, 2, 2, 6, 10, 1, 2, 6, 6, 1, 2, 1, 1, 6, 6, 2, 6, 2, 1, 2, 10, 1, 10, 10, 6, 2, 6, 2, 10, 10, 2, 10, 2, 1, 1, 9, 2, 10, 2, 1, 10, 10, 6, 0, 2, 6, 2, 2, 10, 10, 6, 10, 10, 1, 2, 1, 10, 1, 10, 1, 0, 1, 6, 2, 1, 1, 6, 6, 10, 6, 10, 10, 10, 6, 1, 10, 10, 1, 10, 6, 2, 6, 2, 1, 10, 10, 1, 1, 6, 6, 1, 0, 2, 2, 2, 10, 6, 10, 10, 6, 1, 10, 6, 2, 2, 6, 1, 6, 10, 2, 1, 4, 10, 5, 6, 1, 2, 10, 1, 1, 5, 2, 1, 10, 1, 6, 2, 2, 1, 10, 1, 10, 2, 4, 2, 10, 6, 1, 2, 1, 6, 6, 1, 2, 10, 1, 1, 6, 10, 6, 6, 10, 1, 10, 10, 10, 1, 6, 1, 2, 1, 6, 10, 2, 6, 2, 6, 10, 1, 6, 10, 1, 1, 6, 1, 1, 2, 1, 1, 6, 2, 6, 2, 2, 5, 10, 2, 6, 10, 10, 1, 0, 1, 6, 1, 6, 6, 6, 2, 2, 2, 6, 10, 10, 2, 2, 1, 6, 2, 10, 10, 2, 2, 10, 0, 10, 1, 2, 1, 10, 6, 1, 2, 4, 2, 6, 6, 6, 1, 2, 6, 6, 6, 6, 6, 5, 10, 6, 6, 6, 1, 6, 4, 2, 2, 10, 10, 6, 1, 2, 6, 10, 6, 1, 6, 6, 5, 5, 2, 10, 2, 1, 2, 6, 1, 6, 2, 2, 2, 6, 2, 6, 2, 6, 1, 10, 1, 10, 4, 0, 6, 6, 2, 2, 6, 6, 6, 6, 1, 6, 6, 10, 9, 10, 2, 2, 6, 1, 2, 6, 10, 1, 10, 10, 10, 2, 1, 10, 2, 1, 2, 6, 10, 1, 6, 6, 1, 1, 5, 6, 1, 10, 2, 1, 10, 6, 1, 6, 2, 2, 2, 0, 9, 1, 10, 10, 10, 10, 10, 10, 2, 6, 2, 1, 10, 1, 2, 10, 2, 10, 2, 6, 2, 6, 2, 2, 6, 6, 10, 6, 2, 1, 6, 1, 6, 6, 0, 1, 2, 2, 1, 1, 6, 2, 2, 5, 1, 6, 1, 10, 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1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 10, 6, 6, 2, 0, 6, 10, 4, 6, 1, 6, 1, 10, 10, 1, 6, 1, 6, 10, 2, 6, 9, 10, 2, 0, 2, 1, 2, 1, 2, 1, 2, 6, 6, 6, 6, 1, 1, 2, 1, 2, 2, 6, 1, 1, 1, 1, 1, 10, 10, 2, 1, 6, 10, 2, 2, 2, 9, 10, 10, 1, 1, 2, 6, 1, 10, 6, 6, 6, 1, 6, 10, 10, 6, 6, 10, 1, 2, 2, 10, 1, 10, 1, 2, 6, 9, 10, 2, 9, 1, 1, 6, 1, 6, 2, 10, 2, 10, 6, 10, 6, 2, 10, 2, 1, 6, 9, 6, 6, 1, 10, 10, 10, 10, 1, 2, 2, 1, 6, 6, 2, 2, 1, 1, 10, 1, 10, 2, 6, 4, 6, 1, 2, 6, 6, 0, 0, 1, 6, 10, 2, 9, 1, 9, 2, 2, 10, 2, 1, 1, 2, 6, 2, 2, 1, 1, 10, 10, 2, 6, 6, 6, 1, 2, 6, 2, 1, 6, 10, 2, 2, 2, 10, 1, 10, 1, 2, 1, 2, 6, 1, 1, 1, 6, 6, 1, 1, 2, 5, 1, 6, 1, 1, 2, 1, 10, 1, 10, 0, 0, 2, 1, 10, 10, 10, 10, 2, 2, 9, 6, 1, 1, 1, 10, 1, 1, 10, 6, 1, 6, 6, 10, 10, 2, 6, 6, 1, 1, 2, 1, 2, 2, 4, 10, 6, 10, 1, 2, 6, 1, 6, 10, 10, 2, 10, 1, 6, 2, 10, 10, 10, 6, 1, 6, 1, 10, 6, 6, 10, 1, 4, 10, 2, 2, 2, 2, 0, 10, 1, 6, 2, 1, 1, 1, 2, 2, 1, 6, 1, 2, 1, 2, 6, 6, 2, 2, 1, 1, 1, 6, 6, 6, 1, 10, 1, 1, 6, 10, 10, 6, 1, 1, 10, 2, 2, 6, 2, 1, 1, 10, 6, 6, 1, 2, 1, 2, 2, 2, 1, 6, 10, 1, 10, 10, 1, 1, 6, 10, 6, 1, 10, 2, 1, 1, 6, 2, 10, 10, 6, 10, 10, 2, 2, 6, 6, 6, 2, 6, 1, 10, 2, 1, 10, 10, 6, 6, 2, 6, 6, 1, 10, 1, 6, 1, 6, 1, 1, 6, 1, 1, 2, 2, 1, 6, 1, 2, 2, 10, 2, 10, 1, 10, 2, 10, 10, 6, 1, 10, 2, 1, 1, 10, 1, 9, 2, 2, 1, 6, 2, 6, 6, 6, 1, 2, 6, 6, 6, 1, 10, 2, 1, 10, 1, 1, 6, 1, 1, 1, 2, 1, 2, 1, 6, 1, 10, 10, 6, 2, 10, 1, 2, 10, 2, 0, 6, 2, 4, 10, 1, 1, 6, 6, 6, 2, 4, 4, 2, 1, 2, 10, 10, 1, 8, 6, 2, 5, 1, 6, 10, 6, 2, 1, 2, 1, 2, 10, 10, 2, 1, 10, 10, 1, 1, 10, 10, 2, 2, 5, 1, 1, 1, 10, 6, 2, 1, 6, 1, 6, 6, 1, 1, 2, 6, 2, 6, 6, 10, 2, 2, 10, 6, 10, 6, 10, 1, 2, 1, 2, 2, 10, 6, 6, 1, 0, 10, 10, 10, 10, 2, 1, 2, 6, 10, 0, 6, 6, 1, 2, 10, 1, 10, 2, 6, 6, 1, 10, 6, 0, 10, 1, 1, 6, 2, 1, 0, 1, 1, 10, 10, 2, 2, 2, 1, 10, 10, 6, 10, 6, 1, 1, 6, 6, 2, 1, 6, 2, 1, 2, 1, 10, 2, 6, 6, 2, 2, 10, 6, 6, 10, 6, 6, 10, 2, 1, 2, 10, 10, 10, 6, 10, 1, 6, 2, 10, 2, 1, 1, 6, 6, 2, 6, 10, 10, 6, 1, 1, 6, 6, 6, 10, 2, 1, 1, 6, 1, 1, 6, 6, 6, 6, 6, 6, 10, 0, 1, 6, 6, 1, 2, 1, 1, 10, 6, 1, 2, 10, 10, 10, 10, 1, 10, 10, 1, 2, 6, 6, 10, 1, 10, 6, 2, 1, 5, 2, 2, 0, 1, 1, 6, 10, 2, 10, 10, 2, 1, 10, 2, 1, 5, 2, 10, 10, 2, 2, 1, 1, 10, 6, 1, 6, 10, 1, 10, 6, 10, 2, 10, 1, 2, 6, 6, 2, 2, 10, 6, 2, 1, 1, 1, 10, 6, 10, 1, 1, 6, 6, 2, 2, 10, 2, 1, 6, 6, 6, 2, 6, 6, 1, 1, 2, 1, 1, 2, 1, 10, 2, 1, 6, 10, 1, 6, 1, 6, 6, 2, 6, 10, 1, 2, 2, 2, 2, 6, 6, 6, 1, 1, 1, 10, 1, 1, 10, 1, 6, 2, 2, 2, 6, 1, 2, 10, 6, 6, 1, 1, 6, 6, 2, 10, 6, 10, 1, 2, 10, 2, 1, 10, 6, 6, 10, 1, 2, 1, 1, 1, 10, 10, 2, 1, 1, 6, 2, 2, 10, 1, 6, 4, 1, 1, 6, 1, 1, 10, 10, 10, 6, 6, 6, 1, 6, 1, 10, 10, 6, 10, 6, 10, 1, 10, 6, 9, 1, 10, 2, 10, 6, 10, 6, 1, 9, 1, 10, 6, 6, 10, 2, 1, 1, 0, 10, 1, 10, 10, 1, 1, 1, 2, 1, 10, 1, 10, 2, 9, 1, 2, 1, 10, 2, 2, 6, 2, 1, 10, 1, 1, 6, 2, 6, 2, 1, 1, 10, 10, 1, 1, 2, 6, 1, 6, 1, 6, 2, 2, 1, 2, 1, 2, 10, 1, 2, 2, 1, 6, 2, 2, 1, 1, 2, 6, 6, 10, 2, 6, 2, 6, 2, 2, 6, 10, 6, 1, 1, 5, 10, 9, 2, 2, 0, 2, 6, 10, 2, 2, 10, 1, 6, 6, 6, 10, 2, 6, 2, 6, 10, 2, 6, 10, 1, 10, 1, 6, 6, 10, 10, 1, 1, 10, 2, 10, 1, 10, 6, 2, 2, 6, 9, 6, 2, 1, 10, 9, 10, 1, 2, 6, 10, 10, 6, 10, 10, 2, 6, 1, 1, 2, 6, 10, 6, 2, 6, 6, 1, 10, 1, 1, 6, 1, 10, 6, 1, 1, 1, 10, 1, 2, 2, 10, 6, 2, 10, 6, 2, 6, 1, 1, 6, 6, 10, 1, 2, 10, 5, 10, 2, 6, 1, 1, 5, 1, 10, 1, 1, 10, 2, 1, 2, 10, 10, 1, 10, 10, 1, 6, 10, 2, 2, 2, 6, 1, 2, 6, 10, 6, 10, 6, 10, 6, 6, 1, 1, 6, 10, 6, 6, 10, 2, 6, 1, 2, 2, 10, 2, 6, 10, 10, 2, 10, 1, 1, 2, 2, 10, 6, 6, 6, 1, 2, 10, 10, 10, 10, 6, 10, 2, 2, 10, 6, 10, 1, 6, 6, 6, 2, 1, 6, 6, 6, 2, 10, 1, 6, 2, 10, 1, 1, 10, 10, 2, 2, 2, 10, 10, 10, 1, 2, 6, 1, 10, 2, 1, 1, 6, 0, 1, 1, 6, 10, 1, 9, 5, 2, 6, 9, 2, 6, 10, 6, 1, 2, 10, 2, 2, 6, 10, 1, 10, 10, 2, 1, 1, 2, 1, 6, 10, 1, 10, 2, 1, 2, 1, 2, 10, 6, 2, 6, 10, 1, 1, 1, 2, 6, 10, 2, 2, 6, 10, 2, 2, 6, 6, 10, 2, 6, 4, 4, 10, 2, 1, 2, 1, 10, 6, 6, 2, 1, 10, 6, 6, 0, 6, 0, 10, 1, 6, 10, 1, 10, 1, 2, 1, 2, 6, 10, 1, 1, 2, 10, 2, 1, 1, 2, 6, 10, 2, 2, 1, 1, 10, 2, 10, 1, 10, 10, 10, 6, 10, 6, 10, 10, 2, 10, 6, 10, 6, 6, 6, 10, 10, 6, 10, 2, 10, 10, 1, 4, 1, 2, 10, 2, 10, 1, 9, 1, 2, 10, 10, 1, 1, 10, 1, 10, 2, 6, 1, 2, 2, 10, 2, 1, 10, 6, 10, 1, 1, 10, 6, 6, 10, 2, 1, 10, 6, 6, 6, 2, 6, 1, 1, 10, 10, 10, 10, 10, 1, 2, 2, 6, 10, 2, 2, 6, 10, 1, 1, 1, 2, 1, 1, 6, 6, 1, 6, 6, 1, 1, 2, 5, 10, 10, 6, 6, 2, 1, 6, 2, 10, 2, 10, 6, 10, 6, 6, 6, 1, 10, 2, 6, 6, 1, 6, 6, 2, 6, 1, 6, 2, 10, 6, 6, 1, 2, 2, 10, 1, 10, 2, 6, 6, 10, 1, 1, 1, 9, 2, 6, 6, 10, 0, 6, 10, 1, 10, 1, 1, 2, 10, 6, 6, 1, 10, 6, 10, 1, 10, 6, 10, 1, 1, 1, 2, 2, 10, 10, 6, 10, 6, 1, 2, 10, 2, 6, 10, 10, 10, 6, 1, 6, 6, 10, 1, 1, 2, 10, 1, 2, 6, 5, 2, 10, 6, 2, 10, 2, 6, 6, 10, 6, 6, 1, 6, 10, 6, 1, 10, 1, 1, 2, 10, 2, 6, 1, 2, 1, 1, 6, 10, 1, 2, 10, 2, 10, 2, 10, 1, 1, 5, 10, 5, 2, 6, 1, 1, 10, 1, 1, 1, 10, 10, 4, 2, 2, 2, 1, 1, 1, 2, 6, 6, 2, 6, 10, 1, 6, 2, 2, 0, 1, 4, 10, 2, 6, 2, 4, 2, 2, 2, 6, 2, 2, 2, 6, 4, 10, 1, 1, 9, 6, 2, 6, 10, 2, 6, 10, 2, 1, 6, 1, 6, 10, 2, 6, 6, 10, 2, 6, 2, 2, 10, 6, 6, 6, 10, 10, 1, 10, 6, 10, 1, 1, 1, 1, 2, 10, 10, 2, 10, 6, 10, 2, 1, 2, 10, 2, 6, 10, 1, 6, 2, 10, 6, 2, 6, 9, 6, 6, 6, 1, 2, 6, 2, 6, 6, 2, 1, 2, 1, 1, 6, 2, 1, 10, 10, 10, 6, 6, 10, 2, 9, 10, 1, 2, 2, 6, 6, 2, 6, 10, 6, 10, 10, 10, 2, 6, 1, 6, 1, 1, 2, 10, 6, 1, 10, 2, 10, 10, 2, 5, 6, 2, 6, 1, 10, 10, 6, 6, 1, 10, 2, 4, 5, 10, 6, 6, 10, 1, 6, 2, 6, 1, 6, 1, 1, 10, 10, 10, 6, 9, 6, 6, 2, 2, 6, 2, 2, 1, 1, 9, 2, 6, 6, 2, 2, 1, 1, 6, 6, 6, 2, 2, 10, 1, 10, 6, 2, 1, 2, 10, 10, 1, 1, 6, 10, 6, 2, 6, 2, 10, 2, 2, 10, 2, 2, 6, 1, 6, 6, 6, 6, 1, 10, 10, 6, 6, 1, 6, 2, 1, 40, 2, 1, 1, 6, 2, 1, 2, 10, 1, 10, 1, 6, 10, 6, 0, 6, 10, 2, 4, 3, 6, 6, 6, 2, 2, 2, 6, 1, 10, 2, 1, 1, 6, 2, 6, 2, 6, 1, 6, 10, 1, 6, 6, 6, 10, 6, 10, 10, 6, 10, 1, 10, 2, 10, 2, 6, 1, 2, 6, 2, 1, 10, 2, 1, 2, 6, 10, 4, 6, 1, 6, 1, 1, 10, 1, 10, 6, 2, 10, 10, 10, 6, 6, 1, 6, 6, 1, 6, 1, 2, 2, 2, 6, 1, 2, 1, 1, 2, 4, 2, 6, 10, 2, 1, 6, 2, 10, 1, 10, 2, 1, 1, 6, 1, 1, 2, 6, 10, 6, 6, 1, 10, 2, 6, 1, 4, 10, 6, 10, 2, 1, 10, 6, 2, 1, 1, 10, 10, 0, 2, 10, 1, 6, 2, 2, 6, 1, 6, 10, 2, 40, 2, 2, 2, 6, 4, 6, 5, 10, 2, 6, 6, 6, 1, 2, 1, 2, 1, 2, 6, 10, 10, 10, 1, 6, 16, 1, 2, 6, 6, 6, 1, 6, 10, 1, 1, 0, 10, 2, 6, 6, 1, 1, 2, 1, 2, 10, 6, 6, 10, 6, 1, 6, 2, 1, 10, 2, 10, 1, 1, 2, 6, 6, 1, 6, 2, 10, 10, 6, 1, 10, 2, 2, 0, 1, 1, 6, 10, 6, 6, 6, 10, 1, 10, 2, 2, 10, 2, 10, 2, 1, 1, 2, 10, 1, 6, 2, 2, 6, 6, 1, 6, 1, 10, 2, 6, 10, 2, 6, 6, 2, 1, 10, 6, 6, 10, 1, 6, 0, 10, 1, 10, 10, 1, 1, 1, 1, 6, 10, 6, 2, 10, 10, 10, 2, 10, 6, 2, 1, 1, 2, 1, 10, 6, 6, 1, 1, 1, 10, 6, 1, 6, 1, 6, 10, 10, 10, 1, 6, 10, 1, 9, 6, 0, 10, 6, 6, 10, 6, 2, 6, 1, 1, 1, 6, 10, 2, 1, 10, 6, 10, 5, 10, 10, 1, 9, 10, 1, 6, 2, 6, 10, 10, 10, 2, 2, 6, 5, 2, 6, 6, 2, 1, 1, 1, 6, 1, 9, 4, 1, 1, 2, 6, 2, 10, 2, 10, 10, 6, 2, 10, 2, 6, 1, 2, 2, 2, 2, 6, 6, 10, 2, 1, 6, 2, 6, 10, 6, 6, 2, 0, 1, 1, 2, 6, 1, 6, 1, 2, 10, 5, 6, 1, 6, 6, 6, 1, 0, 2, 2, 2, 6, 2, 1, 1, 2, 0, 2, 2, 1, 1, 6, 6, 2, 10, 10, 2, 10, 6, 6, 2, 6, 6, 6, 10, 6, 10, 10, 1, 6, 2, 6, 2, 2, 6, 10, 6, 10, 10, 6, 10, 1, 6, 2, 10, 1, 2, 6, 2, 10, 10, 2, 10, 10, 6, 6, 2, 10, 2, 1, 2, 1, 1, 10, 10, 4, 6, 1, 6, 1, 1, 1, 10, 5, 6, 2, 9, 10, 6, 10, 6, 1, 10, 6, 2, 10, 2, 10, 1, 1, 6, 1, 1, 6, 6, 2, 2, 6, 10, 1, 1, 6, 10, 2, 2, 1, 2, 6, 10, 6, 6, 6, 1, 1, 0, 1, 6, 6, 2, 1, 1, 6, 10, 6, 2, 1, 2, 2, 1, 6, 6, 6, 1, 1, 10, 10, 6, 2, 10, 6, 2, 6, 1, 10, 2, 1, 6, 6, 6, 1, 6, 6, 10, 2, 2, 0, 1, 6, 6, 10, 10, 10, 10, 1, 10, 5, 1, 10, 1, 6, 1, 2, 10, 1, 2, 1, 6, 2, 2, 1, 6, 6, 2, 6, 10, 1, 6, 2, 2, 2, 2, 1, 1, 6, 2, 6, 2, 1, 6, 10, 1, 1, 10, 10, 1, 10, 2, 2, 2, 10, 1, 1, 4, 0, 2, 2, 1, 10, 0, 1, 6, 10, 10, 6, 1, 1, 2, 2, 10, 2, 1, 10, 1, 2, 10, 2, 1, 1, 2, 6, 2, 10, 2, 6, 6, 6, 10, 6, 10, 6, 1, 6, 2, 4, 10, 1, 10, 6, 10, 10, 10, 10, 6, 2, 10, 10, 2, 1, 6, 2, 6, 1, 1, 0, 10, 6, 1, 1, 10, 6, 10, 2, 1, 10, 2, 6, 60, 1, 2, 2, 2, 6, 1, 10, 6, 2, 6, 10, 1, 6, 2, 6, 1, 2, 2, 10, 2, 2, 2, 1, 6, 6, 2, 1, 1, 2, 6, 1, 6, 6, 1, 10, 10, 2, 2, 10, 1, 1, 4, 2, 6, 1, 10, 6, 10, 1, 10, 6, 10, 2, 6, 2, 2, 1, 2, 6, 10, 6, 6, 10, 1, 2, 6, 6, 2, 2, 2, 6, 1, 2, 1, 10, 1, 1, 2, 2, 6, 2, 6, 1, 10, 10, 1, 1, 6, 1, 2, 6, 2, 1, 2, 1, 1, 1, 10, 2, 2, 10, 9, 1, 2, 1, 1, 10, 6, 6, 1, 6, 1, 2, 6, 10, 1, 1, 1, 2, 2, 6, 2, 6, 10, 1, 2, 6, 2, 1, 6, 2, 1, 6, 6, 1, 1, 6, 6, 6, 10, 2, 1, 1, 6, 6, 1, 10, 2, 6, 4, 5, 1, 1, 10, 10, 2, 6, 10, 2, 1, 1, 1, 2, 2, 2, 10, 2, 10, 6, 6, 1, 2, 4, 1, 6, 10, 6, 6, 2, 10, 2, 6, 1, 10, 2, 1, 6, 2, 1, 6, 1, 2, 2, 2, 1, 1, 6, 6, 6, 2, 6, 10, 2, 1, 10, 6, 6, 6, 2, 2, 0, 1, 1, 1, 2, 10, 0, 10, 10, 0, 1, 6, 6, 1, 6, 10, 1, 10, 2, 1, 1, 1, 1, 2, 10, 6, 5, 1, 6, 1, 10, 6, 6, 1, 1, 2, 6, 1, 6, 9, 1, 6, 2, 6, 2, 2, 10, 6, 2, 6, 1, 10, 1, 5, 10, 2, 10, 10, 6, 1, 1, 1, 1, 1, 6, 1, 10, 2, 1, 6, 1, 1, 10, 6, 10, 6, 2, 6, 2, 2, 1, 1, 2, 6, 1, 2, 2, 6, 5, 6, 1, 10, 6, 6, 6, 2, 2, 6, 10, 10, 6, 1, 1, 2, 10, 2, 6, 6, 6, 6, 6, 2, 1, 10, 10, 6, 2, 6, 10, 6, 1, 1, 1, 10, 10, 6, 2, 2, 2, 1, 9, 1, 1, 6, 1, 2, 10, 10, 6, 10, 10, 2, 6, 10, 4, 6, 6, 10, 9, 2, 10, 1, 1, 2, 6, 2, 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6, 1, 0, 4, 10, 40, 1, 6, 10, 10, 2, 10, 2, 10, 2, 1, 6, 2, 2, 2, 6, 60, 2, 10, 2, 6, 2, 2, 2, 2, 1, 6, 0, 6, 6, 6, 6, 1, 10, 10, 10, 2, 2, 6, 2, 1, 10, 1, 6, 6, 2, 6, 1, 1, 6, 2, 6, 1, 6, 2, 10, 6, 2, 10, 2, 10, 5, 6, 6, 2, 6, 10, 2, 10, 10, 1, 6, 10, 6, 6, 6, 2, 6, 1, 10, 10, 2, 2, 10, 2, 2, 2, 2, 1, 6, 1, 1, 6, 6, 6, 1, 10, 2, 10, 1, 2, 6, 6, 1, 1, 2, 9, 10, 6, 2, 10, 2, 10, 6, 6, 2, 10, 1, 2, 1, 1, 10, 6, 1, 10, 2, 1, 10, 2, 1, 6, 2, 6, 1, 1, 2, 10, 1, 10, 2, 6, 6, 10, 1, 1, 10, 5, 10, 6, 6, 10, 1, 10, 10, 2, 6, 6, 1, 2, 6, 10, 1, 6, 2, 5, 1, 1, 2, 1, 10, 1, 10, 6, 10, 10, 2, 0, 2, 1, 2, 1, 1, 2, 2, 5, 10, 2, 1, 2, 6, 1, 2, 10, 10, 2, 10, 1, 2, 6, 1, 2, 6, 10, 2, 1, 1, 9, 10, 9, 2, 6, 2, 10, 5, 10, 10, 10, 1, 6, 6, 6, 6, 10, 6, 1, 10, 10, 1, 1, 10, 1, 6, 6, 1, 1, 10, 6, 10, 6, 1, 1, 1, 10, 2, 2, 6, 6, 6, 1, 6, 10, 2, 2, 2, 6, 10, 2, 1, 10, 10, 6, 6, 10, 6, 1, 1, 10, 2, 10, 10, 10, 2, 10, 6, 2, 10, 6, 2, 6, 6, 10, 5, 6, 10, 1, 1, 1, 6, 2, 10, 8, 6, 2, 2, 6, 6, 2, 6, 1, 1, 6, 10, 2, 1, 10, 2, 1, 10, 1, 10, 1, 6, 2, 10, 1, 10, 10, 1, 1, 10, 6, 10, 10, 5, 2, 2, 1, 2, 10, 10, 6, 5, 6, 10, 6, 6, 1, 10, 2, 6, 1, 10, 2, 6, 6, 2, 2, 2, 6, 2, 10, 2, 2, 4, 2, 1, 1, 6, 10, 2, 6, 6, 10, 1, 2, 2, 6, 2, 10, 10, 10, 2, 1, 6, 2, 2, 1, 1, 1, 6, 2, 6, 6, 1, 6, 6, 6, 10, 10, 0, 2, 10, 2, 6, 2, 6, 2, 1, 1, 1, 10, 6, 2, 10, 6, 2, 2, 1, 2, 10, 6, 2, 2, 1, 10, 10, 10, 6, 6, 6, 1, 1, 1, 1, 1, 2, 2, 6, 10, 9, 10, 1, 10, 1, 2, 10, 2, 6, 1, 1, 1, 2, 2, 6, 1, 6, 1, 1, 1, 2, 2, 6, 6, 6, 10, 2, 1, 6, 1, 10, 6, 6, 6, 2, 10, 6, 6, 6, 10, 1, 6, 6, 2, 6, 2, 6, 6, 10, 1, 2, 6, 1, 6, 2, 10, 1, 6, 10, 6, 1, 2, 1, 0, 10, 1, 6, 10, 6, 6, 9, 10, 6, 6, 1, 2, 1, 6, 2, 10, 6, 2, 6, 2, 6, 6, 6, 6, 2, 1, 4, 10, 10, 10, 2, 10, 0, 1, 2, 10, 2, 6, 10, 10, 2, 10, 1, 6, 6, 2, 6, 10, 10, 10, 6, 10, 6, 10, 1, 2, 6, 60, 6, 6, 2, 6, 6, 10, 6, 2, 2, 2, 6, 10, 9, 1, 6, 10, 10, 10, 10, 2, 1, 6, 4, 6, 10, 1, 1, 2, 10, 2, 6, 0, 1, 0, 2, 10, 10, 1, 2, 1, 6, 2, 10, 5, 6, 1, 6, 10, 1, 2, 10, 5, 10, 2, 10, 6, 6, 1, 10, 10, 2, 1, 2, 6, 2, 10, 10, 1, 6, 10, 6, 2, 1, 1, 1, 1, 10, 2, 2, 2, 2, 2, 6, 6, 2, 2, 1, 6, 10, 1, 10, 1, 2, 10, 10, 1, 6, 6, 10, 1, 10, 1, 1, 10, 6, 2, 1, 1, 2, 2, 10, 2, 1, 6, 10, 2, 1, 10, 2, 6, 2, 2, 2, 4, 1, 6, 10, 10, 10, 1, 1, 1, 6, 6, 9, 2, 6, 6, 6, 2, 6, 6, 6, 1, 1, 2, 6, 10, 10, 6, 10, 2, 2, 6, 6, 2, 6, 6, 1, 10, 6, 1, 6, 6, 1, 6, 10, 6, 10, 6, 2, 6, 2, 10, 2, 1, 10, 1, 1, 1, 1, 2, 6, 2, 1, 2, 6, 10, 1, 1, 6, 2, 2, 10, 6, 10, 6, 2, 1, 10, 2, 6, 2, 6, 10, 2, 10, 6, 6, 1, 2, 6, 1, 6, 1, 10, 1, 10, 10, 10, 1, 6, 1, 6, 6, 1, 6, 6, 10, 1, 2, 10, 10, 6, 1, 1, 6, 1, 10, 5, 10, 1, 1, 10, 6, 2, 10, 1, 6, 10, 6, 10, 0, 2, 1, 6, 6, 10, 6, 2, 1, 10, 2, 6, 1, 9, 6, 2, 6, 1, 10, 10, 6, 2, 2, 10, 1, 6, 6, 10, 6, 2, 10, 6, 2, 2, 2, 10, 2, 6, 6, 1, 6, 10, 10, 1, 2, 6, 6, 1, 1, 2, 6, 2, 10, 1, 2, 10, 6, 2, 6, 2, 10, 1, 1, 1, 6, 1, 2, 10, 2, 1, 10, 1, 6, 6, 2, 10, 2, 6, 6, 4, 6, 2, 4, 2, 2, 2, 6, 2, 1, 1, 2, 2, 6, 6, 2, 1, 10, 6, 6, 10, 10, 10, 2, 2, 10, 10, 10, 1, 1, 2, 10, 10, 10, 2, 10, 10, 1, 10, 1, 6, 6, 1, 10, 4, 1, 10, 10, 10, 1, 1, 6, 2, 0, 2, 10, 6, 0, 2, 1, 10, 2, 10, 1, 1, 2, 1, 2, 10, 1, 2, 2, 1, 1, 2, 6, 2, 2, 6, 2, 6, 2, 10, 10, 6, 2, 10, 2, 6, 1, 2, 6, 2, 10, 10, 10, 1, 2, 10, 1, 1, 6, 2, 6, 0, 1, 2, 6, 1, 2, 1, 6, 2, 6, 2, 6, 10, 1, 10, 1, 6, 10, 2, 1, 6, 6, 6, 2, 2, 1, 6, 6, 2, 1, 10, 6, 2, 2, 1, 6, 1, 2, 6, 2, 10, 6, 2, 2, 10, 6, 1, 1, 10, 10, 1, 10, 6, 10, 10, 10, 2, 2, 6, 2, 6, 10, 10, 10, 10, 10, 10, 10, 1, 1, 10, 1, 6, 2, 2, 1, 2, 1, 2, 6, 6, 2, 1, 2, 10, 1, 10, 10, 1, 1, 1, 10, 10, 1, 6, 1, 4, 6, 6, 6, 10, 10, 1, 6, 10, 2, 1, 10, 2, 10, 1, 10, 2, 2, 2, 1, 10, 6, 2, 6, 2, 2, 2, 6, 10, 1, 1, 10, 6, 6, 5, 10, 1, 6, 10, 2, 9, 2, 5, 1, 10, 1, 10, 6, 6, 2, 6, 2, 6, 2, 10, 10, 5, 2, 6, 2, 2, 1, 1, 0, 10, 1, 1, 9, 1, 10, 2, 9, 1, 2, 2, 10, 6, 6, 10, 1, 6, 6, 1, 10, 1, 1, 2, 2, 10, 6, 2, 10, 10, 2, 6, 10, 6, 6, 10, 2, 10, 6, 2, 10, 10, 1, 2, 1, 6, 6, 10, 6, 2, 10, 6, 2, 1, 1, 6, 1, 2, 2, 10, 10, 2, 2, 2, 1, 2, 10, 1, 6, 1, 1, 6, 10, 2, 1, 1, 6, 2, 9, 2, 6, 2, 2, 6, 6, 6, 10, 10, 6, 2, 2, 1, 2, 1, 6, 2, 10, 6, 1, 6, 2, 1, 10, 1, 10, 10, 2, 10, 2, 6, 10, 2, 2, 2, 5, 1, 10, 1, 10, 6, 1, 1, 2, 6, 1, 1, 10, 1, 2, 2, 1, 6, 10, 10, 2, 1, 6, 2, 10, 1, 2, 10, 1, 1, 2, 2, 10, 1, 2, 1, 4, 2, 1, 9, 2, 1, 6, 1, 10, 1, 10, 2, 6, 10, 2, 1, 2, 1, 1, 6, 1, 10, 1, 6, 2, 10, 2, 1, 2, 1, 1, 10, 10, 2, 2, 6, 10, 1, 1, 1, 6, 1, 6, 6, 10, 10, 2, 2, 1, 10, 1, 6, 1, 6, 1, 2, 1, 6, 2, 2, 6, 6, 10, 1, 1, 2, 1, 2, 10, 6, 2, 1, 2, 10, 10, 6, 2, 2, 10, 1, 1, 1, 5, 2, 10, 1, 10, 1, 2, 1, 10, 10, 2, 10, 10, 1, 6, 6, 1, 1, 10, 10, 2, 1, 2, 2, 6, 2, 1, 2, 9, 1, 10, 10, 10, 6, 1, 2, 6, 1, 1, 2, 10, 2, 10, 10, 2, 6, 9, 6, 2, 10, 2, 6, 2, 2, 2, 10, 2, 6, 1, 2, 6, 10, 10, 6, 1, 10, 1, 6, 1, 6, 1, 6, 10, 6, 1, 2, 10, 2, 2, 2, 1, 2, 2, 1, 2, 4, 1, 2, 1, 2, 10, 1, 10, 10, 2, 10, 6, 1, 2, 10, 5, 10, 6, 6, 10, 10, 6, 1, 1, 2, 4, 10, 2, 1, 2, 10, 1, 0, 2, 6, 10, 10, 2, 1, 6, 6, 6, 2, 1, 2, 6, 6, 5, 10, 6, 6, 6, 10, 6, 1, 1, 6, 10, 2, 2, 1, 2, 6, 10, 6, 2, 1, 6, 2, 2, 2, 10, 2, 1, 6, 6, 10, 4, 2, 1, 6, 2, 2, 1, 6, 1, 6, 1, 1, 1, 10, 2, 10, 2, 10, 2, 10, 1, 6, 6, 1, 6, 6, 9, 1, 6, 10, 2, 6, 2, 10, 2, 10, 1, 6, 6, 6, 6, 10, 1, 6, 2, 1, 2, 1, 1, 6, 6, 6, 2, 2, 6, 6, 10, 0, 10, 6, 1, 1, 10, 1, 2, 9, 10, 2, 10, 6, 10, 6, 2, 10, 2, 2, 2, 10, 10, 10, 6, 2, 1, 2, 2, 0, 1, 10, 1, 2, 2, 2, 1, 1, 1, 6, 10, 1, 1, 10, 1, 2, 2, 1, 6, 1, 2, 10, 0, 6, 2, 1, 2, 10, 2, 1, 1, 1, 10, 6, 1, 10, 1, 6, 6, 6, 6, 6, 10, 5, 2, 6, 10, 1, 10, 10, 10, 1, 6, 1, 6, 10, 1, 6, 1, 1, 1, 10, 2, 1, 6, 6, 10, 6, 1, 2, 0, 1, 1, 2, 0, 10, 4, 1, 6, 1, 2, 2, 2, 1, 6, 2, 1, 2, 1, 6, 6, 2, 10, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 9, 6, 6, 2, 6, 6, 6, 1, 2, 2, 2, 6, 2, 6, 10, 6, 6, 10, 10, 10, 1, 1, 10, 1, 6, 2, 2, 1, 1, 1, 6, 6, 10, 6, 1, 10, 6, 6, 10, 6, 10, 10, 4, 6, 10, 6, 10, 10, 10, 10, 10, 1, 10, 6, 2, 10, 6, 2, 1, 10, 6, 6, 2, 10, 6, 6, 6, 6, 1, 9, 1, 10, 1, 2, 6, 4, 6, 2, 1, 2, 10, 10, 6, 2, 2, 1, 1, 10, 10, 2, 2, 2, 10, 6, 6, 1, 6, 10, 2, 2, 1, 6, 6, 6, 10, 10, 2, 10, 6, 6, 6, 2, 6, 6, 1, 10, 10, 2, 1, 1, 1, 2, 6, 10, 6, 2, 1, 6, 1, 10, 6, 2, 2, 1, 1, 6, 0, 1, 10, 10, 2, 1, 6, 10, 6, 10, 1, 6, 10, 10, 6, 2, 10, 2, 4, 10, 2, 10, 2, 6, 1, 2, 2, 6, 10, 6, 1, 2, 6, 10, 6, 1, 6, 6, 2, 1, 6, 6, 6, 6, 10, 1, 10, 2, 6, 1, 10, 2, 9, 1, 2, 2, 10, 6, 6, 1, 2, 2, 10, 1, 10, 1, 2, 10, 6, 10, 2, 1, 1, 10, 2, 10, 2, 2, 6, 6, 10, 2, 6, 1, 10, 9, 1, 1, 6, 10, 6, 2, 2, 1, 10, 6, 10, 2, 6, 6, 10, 10, 6, 10, 6, 6, 1, 10, 2, 1, 6, 1, 1, 6, 2, 6, 6, 6, 1, 1, 6, 1, 2, 6, 1, 6, 1, 10, 10, 10, 1, 2, 1, 2, 1, 10, 1, 10, 6, 1, 1, 6, 6, 10, 1, 2, 6, 1, 10, 2, 10, 1, 2, 2, 10, 10, 6, 1, 10, 6, 10, 10, 9, 6, 1, 1, 2, 10, 2, 1, 10, 1, 10, 6, 1, 6, 6, 1, 2, 10, 6, 6, 2, 1, 2, 6, 6, 6, 9, 2, 10, 6, 10, 0, 6, 1, 6, 2, 1, 2, 1, 2, 1, 10, 6, 2, 1, 6, 2, 1, 2, 2, 10, 6, 10, 10, 6, 2, 9, 1, 6, 10, 1, 1, 10, 2, 10, 6, 1, 1, 6, 1, 4, 1, 10, 1, 6, 10, 2, 2, 50, 1, 1, 6, 2, 10, 10, 1, 0, 10, 1, 2, 6, 10, 2, 6, 10, 0, 6, 10, 2, 10, 6, 10, 2, 10, 2, 2, 10, 10, 2, 1, 1, 1, 10, 1, 10, 10, 6, 1, 1, 1, 1, 1, 6, 1, 1, 1, 6, 1, 10, 1, 2, 6, 1, 10, 4, 40, 10, 6, 1, 10, 6, 2, 6, 2, 1, 6, 6, 6, 10, 2, 6, 10, 0, 1, 10, 1, 1, 2, 10, 2, 1, 1, 2, 2, 6, 2, 1, 10, 1, 10, 6, 6, 2, 2, 2, 6, 1, 6, 6, 10, 1, 10, 2, 6, 6, 6, 10, 10, 6, 1, 6, 1, 6, 1, 10, 10, 6, 1, 1, 2, 6, 10, 6, 10, 6, 1, 0, 10, 4, 2, 6, 6, 2, 6, 2, 1, 10, 10, 6, 6, 1, 6, 1, 2, 1, 1, 10, 2, 6, 2, 6, 2, 1, 2, 6, 10, 6, 2, 6, 2, 10, 1, 2, 1, 10, 10, 2, 10, 10, 1, 6, 1, 2, 10, 1, 1, 2, 2, 6, 1, 6, 1, 1, 10, 10, 2, 6, 10, 6, 10, 10, 10, 10, 2, 1, 1, 6, 10, 9, 2, 10, 6, 2, 9, 6, 10, 10, 10, 2, 6, 1, 2, 2, 6, 2, 1, 2, 6, 4, 2, 6, 6, 6, 6, 2, 2, 1, 5, 10, 10, 2, 2, 1, 1, 10, 10, 10, 6, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 10, 6, 10, 10, 10, 2, 10, 1, 6, 10, 10, 1, 10, 2, 6, 2, 6, 1, 2, 10, 2, 1, 6, 1, 1, 2, 2, 6, 10, 2, 6, 2, 6, 1, 10, 6, 10, 10, 2, 1, 6, 2, 1, 5, 1, 2, 10, 10, 6, 1, 6, 1, 6, 5, 10, 2, 2, 1, 2, 2, 6, 2, 2, 10, 6, 2, 6, 6, 10, 2, 2, 5, 2, 1, 1, 10, 6, 1, 5, 1, 6, 2, 1, 10, 6, 10, 2, 2, 2, 1, 1, 6, 1, 10, 10, 10, 6, 10, 2, 2, 6, 10, 9, 10, 1, 1, 2, 2, 10, 1, 2, 6, 6, 6, 1, 6, 1, 6, 2, 6, 2, 2, 6, 10, 6, 10, 10, 1, 6, 6, 1, 10, 6, 1, 10, 2, 2, 1, 6, 1, 10, 1, 6, 1, 2, 6, 1, 9, 6, 2, 10, 6, 6, 10, 10, 8, 2, 6, 6, 10, 1, 10, 2, 1, 6, 2, 1, 5, 2, 2, 2, 10, 1, 10, 2, 10, 1, 2, 2, 2, 10, 10, 10, 1, 6, 6, 6, 1, 6, 1, 1, 10, 10, 1, 6, 1, 6, 2, 2, 6, 2, 6, 2, 10, 1, 10, 6, 2, 10, 1, 2, 2, 10, 2, 1, 2, 10, 10, 2, 2, 4, 2, 2, 10, 10, 10, 1, 10, 1, 1, 6, 10, 10, 1, 2, 6, 1, 1, 10, 1, 1, 2, 6, 6, 6, 9, 10, 10, 10, 1, 1, 2, 1, 10, 6, 2, 10, 10, 1, 2, 6, 1, 2, 2, 1, 10, 6, 10, 1, 2, 6, 10, 2, 2, 2, 6, 2, 2, 10, 6, 6, 1, 10, 10, 6, 6, 6, 10, 6, 10, 2, 2, 1, 6, 10, 6, 6, 10, 1, 1, 10, 10, 6, 2, 6, 6, 2, 1, 10, 10, 6, 10, 10, 6, 6, 2, 1, 6, 6, 0, 1, 2, 6, 1, 2, 1, 10, 9, 2, 10, 10, 4, 1, 1, 4, 1, 1, 6, 1, 0, 10, 10, 10, 1, 6, 0, 10, 6, 6, 6, 10, 2, 1, 1, 2, 6, 1, 2, 2, 10, 6, 10, 10, 2, 1, 10, 1, 2, 6, 2, 6, 2, 2, 10, 2, 1, 1, 1, 1, 6, 1, 6, 6, 2, 1, 6, 10, 10, 6, 2, 1, 1, 10, 6, 6, 2, 10, 6, 6, 6, 2, 2, 6, 10, 6, 10, 1, 10, 6, 10, 2, 1, 10, 1, 2, 6, 6, 6, 2, 9, 2, 6, 10, 1, 6, 2, 10, 1, 6, 6, 1, 2, 2, 10, 10, 2, 2, 10, 6, 6, 6, 2, 6, 2, 6, 0, 2, 6, 10, 10, 1, 1, 2, 6, 2, 2, 1, 1, 6, 6, 2, 6, 1, 1, 6, 2, 2, 10, 6, 6, 6, 2, 1, 2, 10, 1, 2, 10, 10, 2, 6, 2, 10, 6, 1, 4, 2, 2, 1, 10, 1, 1, 1, 1, 1, 2, 6, 6, 1, 6, 2, 6, 10, 6, 10, 2, 1, 6, 10, 10, 2, 2, 6, 10, 2, 6, 2, 4, 1, 8, 2, 6, 10, 1, 10, 6, 6, 1, 10, 10, 1, 10, 1, 10, 1, 1, 1, 10, 2, 2, 6, 2, 6, 6, 6, 10, 5, 2, 2, 10, 6, 9, 2, 1, 6, 10, 1, 2, 2, 10, 10, 1, 1, 10, 10, 2, 6, 10, 10, 1, 1, 10, 10, 6, 2, 10, 6, 10, 1, 10, 0, 6, 10, 10, 6, 6, 10, 9, 2, 7, 6, 2, 6, 2, 6, 6, 10, 1, 10, 10, 10, 2, 4, 5, 6, 10, 1, 1, 10, 2, 10, 2, 6, 0, 6, 2, 2, 1, 6, 6, 6, 6, 10, 10, 1, 6, 2, 2, 2, 1, 1, 2, 6, 2, 1, 6, 1, 6, 2, 1, 2, 6, 2, 10, 6, 1, 10, 6, 6, 10, 10, 1, 1, 1, 2, 2, 6, 2, 1, 2, 6, 10, 10, 6, 6, 6, 10, 1, 2, 6, 1, 6, 2, 6, 10, 1, 2, 10, 10, 10, 10, 1, 1, 1, 6, 10, 6, 6, 1, 1, 1, 1, 6, 10, 1, 1, 6, 10, 1, 2, 2, 6, 1, 10, 1, 10, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 10, 1, 10, 2, 1, 2, 10, 2, 10, 10, 10, 0, 10, 6, 6, 2, 1, 2, 6, 1, 1, 6, 1, 2, 6, 6, 6, 1, 6, 1, 6, 10, 1, 9, 6, 6, 1, 10, 4, 10, 1, 2, 10, 2, 10, 6, 6, 1, 1, 6, 10, 1, 10, 2, 6, 1, 10, 1, 10, 2, 10, 6, 1, 1, 2, 2, 10, 6, 1, 2, 6, 6, 2, 1, 10, 6, 10, 1, 1, 10, 10, 10, 1, 1, 1, 6, 2, 5, 6, 6, 10, 6, 10, 10, 6, 1, 6, 2, 2, 10, 6, 6, 6, 6, 10, 2, 2, 1, 1, 1, 1, 2, 10, 2, 2, 10, 6, 6, 2, 10, 4, 6, 2, 9, 6, 1, 2, 1, 6, 2, 1, 6, 5, 10, 6, 10, 1, 7, 10, 10, 1, 6, 6, 6, 1, 6, 10, 10, 2, 2, 1, 10, 4, 6, 1, 10, 1, 6, 10, 1, 6, 10, 6, 2, 2, 2, 10, 1, 2, 6, 6, 1, 10, 1, 10, 10, 1, 1, 10, 1, 10, 6, 1, 6, 10, 2, 10, 1, 2, 1, 2, 2, 2, 6, 10, 6, 1, 40, 10, 6, 2, 10, 1, 6, 2, 1, 10, 1, 10, 1, 1, 1, 1, 10, 2, 1, 6, 2, 1, 1, 6, 10, 6, 6, 10, 1, 6, 2, 1, 1, 2, 10, 10, 2, 6, 10, 9, 1, 1, 6, 1, 10, 6, 1, 1, 2, 2, 2, 10, 1, 10, 2, 2, 10, 2, 6, 10, 2, 2, 10, 10, 6, 6, 6, 6, 1, 10, 6, 1, 10, 10, 6, 6, 1, 6, 10, 6, 6, 1, 6, 10, 4, 10, 1, 6, 6, 6, 10, 2, 1, 10, 2, 2, 6, 1, 2, 1, 2, 1, 1, 6, 2, 10, 2, 1, 6, 6, 2, 1, 2, 1, 10, 2, 10, 2, 10, 1, 6, 10, 10, 6, 1, 2, 2, 9, 10, 1, 6, 1, 6, 2, 10, 10, 0, 1, 2, 2, 6, 10, 6, 1, 1, 6, 6, 1, 6, 10, 6, 4, 2, 6, 10, 2, 2, 10, 10, 6, 2, 6, 10, 1, 1, 2, 6, 10, 1, 10, 10, 2, 6, 10, 2, 2, 6, 10, 2, 6, 6, 2, 10, 2, 2, 1, 2, 6, 2, 6, 2, 1, 1, 1, 6, 6, 1, 2, 6, 6, 2, 1, 10, 10, 9, 2, 10, 2, 1, 1, 6, 0, 6, 1, 10, 6, 2, 6, 6, 1, 6, 2, 1, 2, 4, 2, 1, 1, 1, 10, 2, 6, 10, 6, 10, 10, 6, 10, 6, 1, 10, 6, 10, 6, 6, 10, 1, 2, 2, 2, 10, 6, 2, 2, 1, 1, 6, 1, 10, 6, 1, 1, 10, 10, 2, 2, 1, 2, 2, 2, 2, 1, 6, 10, 6, 1, 10, 1, 2, 2, 2, 1, 1, 2, 6, 6, 2, 6, 10, 1, 1, 2, 2, 2, 6, 2, 10, 1, 10, 6, 2, 6, 2, 1, 10, 6, 6, 10, 2, 2, 2, 6, 1, 10, 2, 1, 1, 10, 10, 1, 10, 10, 0, 2, 1, 2, 10, 2, 1, 6, 6, 10, 10, 1, 6, 2, 6, 6, 10, 10, 1, 10, 2, 2, 2, 10, 2, 6, 1, 6, 1, 1, 10, 2, 6, 10, 1, 0, 6, 2, 6, 1, 4, 10, 6, 2, 10, 10, 1, 10, 10, 6, 10, 6, 1, 10, 10, 1, 6, 2, 2, 6, 10, 1, 2, 10, 1, 6, 2, 1, 6, 6, 6, 6, 4, 10, 2, 10, 2, 1, 10, 1, 2, 10, 6, 10, 2, 10, 1, 6, 0, 10, 1, 6, 1, 5, 2, 2, 2, 6, 10, 10, 1, 10, 2, 2, 10, 1, 2, 1, 6, 1, 2, 2, 10, 10, 1, 10, 6, 1, 6, 1, 2, 2, 2, 2, 10, 2, 2, 6, 10, 2, 6, 2, 1, 10, 10, 10, 1, 2, 0, 1, 10, 1, 1, 2, 1, 2, 1, 1, 10, 2, 6, 2, 6, 60, 10, 2, 2, 10, 2, 1, 9, 2, 1, 2, 10, 6, 10, 50, 2, 10, 2, 10, 4, 1, 2, 1, 1, 2, 1, 1, 1, 10, 2, 2, 1, 1, 6, 1, 2, 6, 1, 1, 2, 2, 1, 6, 10, 2, 2, 6, 5, 2, 10, 5, 1, 6, 10, 2, 6, 1, 2, 6, 1, 1, 6, 6, 10, 6, 1, 2, 1, 2, 10, 1, 6, 6, 1, 2, 2, 1, 10, 10, 1, 1, 10, 2, 1, 2, 1, 6, 2, 0, 6, 1, 10, 10, 6, 1, 10, 2, 1, 6, 6, 1, 6, 2, 10, 1, 6, 1, 1, 2, 6, 2, 6, 10, 1, 10, 1, 1, 6, 10, 2, 6, 2, 1, 1, 6, 1, 1, 10, 6, 2, 2, 10, 10, 10, 6, 1, 6, 1, 1, 10, 1, 0, 2, 6, 6, 2, 2, 2, 1, 6, 2, 10, 6, 6, 10, 10, 10, 10, 2, 1, 2, 1, 2, 10, 2, 6, 10, 2, 6, 10, 6, 10, 6, 6, 10, 6, 6, 10, 10, 2, 1, 2, 10, 2, 2, 1, 2, 2, 6, 1, 2, 2, 6, 2, 2, 1, 6, 6, 6, 10, 1, 10, 6, 2, 1, 6, 10, 1, 6, 6, 6, 6, 1, 6, 1, 6, 6, 6, 6, 10, 6, 10, 10, 1, 9, 1, 6, 10, 6, 2, 6, 1, 6, 10, 10, 0, 2, 2, 10, 10, 1, 1, 1, 10, 4, 6, 9, 1, 1, 1, 2, 1, 6, 2, 2, 10, 6, 9, 1, 1, 10, 1, 10, 6, 2, 10, 10, 3, 6, 10, 6, 10, 6, 6, 10, 2, 2, 2, 10, 1, 6, 2, 6, 2, 1, 1, 6, 6, 6, 4, 6, 6, 1, 6, 1, 10, 2, 6, 10, 10, 10, 2, 10, 1, 1, 2, 6, 1, 6, 2, 10, 10, 2, 6, 2, 10, 10, 6, 1, 6, 2, 1, 2, 2, 5, 1, 6, 2, 6, 10, 10, 2, 10, 1, 1, 6, 2, 2, 6, 1, 10, 2, 6, 10, 2, 6, 2, 1, 6, 2, 1, 1, 1, 6, 2, 10, 10, 1, 10, 6, 2, 1, 6, 9, 2, 8, 10, 10, 2, 10, 6, 1, 2, 10, 6, 1, 2, 1, 10, 1, 2, 6, 6, 1, 5, 2, 6, 10, 8, 2, 6, 6, 10, 10, 6, 10, 6, 2, 6, 10, 1, 10, 1, 10, 2, 6, 6, 2, 6, 2, 1, 6, 10, 1, 1, 5, 2, 6, 1, 10, 2, 1, 6, 10, 9, 1, 6, 6, 10, 6, 10, 2, 1, 2, 10, 6, 2, 5, 6, 6, 6, 2, 10, 10, 2, 2, 10, 10, 2, 1, 10, 1, 6, 10, 2, 10, 6, 2, 2, 10, 1, 6, 5, 2, 10, 6, 6, 2, 2, 1, 1, 2, 10, 6, 1, 10, 2, 2, 6, 6, 6, 1, 10, 1, 10, 2, 0, 1, 6, 6, 1, 2, 2, 10, 10, 6, 10, 6, 2, 1, 6, 1, 10, 1, 2, 10, 1, 1, 6, 2, 4, 6, 1, 1, 2, 10, 2, 6, 6, 6, 1, 1, 10, 6, 6, 2, 10, 1, 10, 1, 10, 6, 10, 1, 10, 10, 2, 10, 6, 6, 6, 2, 2, 2, 10, 10, 6, 2, 10, 1, 10, 6, 1, 1, 2, 2, 10, 1, 10, 6, 1, 6, 6, 2, 1, 10, 10, 2, 9, 10, 2, 2, 1, 1, 10, 9, 10, 10, 2, 2, 1, 2, 10, 1, 6, 6, 1, 2, 6, 10, 6, 6, 6, 1, 10, 1, 10, 6, 2, 1, 6, 1, 6, 6, 6, 1, 6, 10, 1, 1, 6, 10, 2, 6, 2, 1, 2, 2, 1, 6, 1, 1, 6, 2, 1, 10, 6, 9, 1, 9, 1, 6, 10, 10, 2, 2, 2, 10, 1, 1, 10, 6, 6, 1, 0, 2, 10, 1, 9, 2, 6, 6, 2, 6, 10, 6, 1, 2, 1, 1, 2, 2, 10, 6, 2, 2, 9, 10, 10, 1, 6, 6, 10, 6, 6, 6, 9, 2, 6, 2, 2, 6, 2, 2, 2, 10, 6, 6, 1, 10, 10, 6, 2, 1, 1, 6, 2, 1, 2, 5, 1, 1, 2, 1, 10, 6, 10, 6, 10, 2, 6, 2, 1, 10, 2, 6, 6, 2, 6, 6, 2, 6, 1, 6, 10, 6, 2, 6, 2, 10, 1, 1, 1, 6, 6, 1, 10, 10, 10, 2, 2, 10, 1, 6, 2, 6, 1, 2, 2, 1, 2, 2, 6, 10, 10, 10, 2, 6, 10, 2, 10, 1, 6, 6, 6, 1, 2, 1, 2, 10, 1, 1, 10, 2, 10, 2, 2, 6, 2, 2, 1, 6, 1, 6, 1, 1, 6, 2, 10, 1, 6, 1, 10, 6, 1, 1, 6, 2, 2, 6, 6, 10, 6, 2, 6, 2, 6, 10, 1, 9, 1, 10, 6, 2, 10, 6, 1, 1, 10, 1, 10, 1, 1, 2, 6, 1, 2, 1, 6, 6, 6, 2, 10, 10, 1, 1, 10, 10, 6, 6, 6, 1, 10, 2, 6, 1, 2, 1, 2, 6, 6, 1, 6, 1, 10, 6, 1, 6, 2, 6, 1, 6, 6, 10, 10, 2, 2, 6, 10, 6, 1, 6, 6, 10, 6, 2, 1, 6, 1, 1, 6, 2, 1, 1, 2, 10, 10, 10, 10, 6, 6, 2, 10, 1, 10, 2, 2, 1, 2, 1, 10, 6, 1, 6, 2, 2, 6, 4, 1, 1, 6, 10, 10, 10, 6, 2, 2, 1, 6, 6, 6, 1, 10, 1, 1, 2, 10, 10, 1, 1, 2, 2, 10, 1, 2, 6, 2, 1, 10, 2, 2, 6, 6, 10, 6, 6, 2, 10, 6, 1, 10, 2, 1, 1, 10, 10, 2, 6, 2, 6, 10, 2, 10, 2, 2, 0, 1, 1, 10, 2, 2, 1, 1, 1, 2, 1, 1, 6, 6, 1, 6, 10, 1, 1, 1, 1, 1, 2, 1, 1, 1, 6, 1, 2, 6, 2, 2, 10, 1, 6, 6, 2, 4, 2, 2, 6, 2, 10, 1, 6, 10, 2, 10, 1, 10, 10, 6, 10, 6, 6, 1, 2, 6, 2, 2, 10, 2, 10, 1, 6, 2, 10, 1, 6, 10, 1, 2, 10, 2, 2, 6, 6, 10, 6, 2, 2, 2, 10, 6, 1, 2, 2, 1, 10, 2, 10, 1, 2, 2, 6, 5, 2, 2, 6, 2, 6, 2, 9, 1, 2, 1, 0, 2, 1, 6, 6, 6, 2, 6, 2, 10, 6, 6, 2, 10, 1, 6, 10, 2, 6, 2, 2, 10, 6, 6, 6, 2, 10, 1, 1, 2, 1, 2, 6, 10, 10, 2, 0, 6, 10, 1, 10, 6, 10, 1, 0, 6, 6, 6, 1, 1, 2, 6, 1, 1, 6, 2, 10, 6, 2, 2, 10, 6, 2, 2, 10, 10, 1, 1, 1, 2, 6, 10, 6, 4, 5, 6, 1, 10, 1, 10, 6, 6, 4, 1, 10, 1, 1, 10, 5, 6, 10, 2, 10, 10, 10, 6, 2, 6, 6, 6, 6, 10, 1, 10, 1, 10, 1, 1, 2, 10, 1, 6, 10, 10, 2, 10, 2, 10, 2, 10, 2, 1, 10, 10, 1, 10, 10, 2, 6, 2, 1, 2, 1, 6, 6, 2, 10, 6, 2, 10, 2, 10, 1, 0, 2, 6, 10, 6, 2, 6, 6, 1, 10, 6, 1, 10, 1, 6, 10, 2, 6, 6, 10, 1, 6, 1, 10, 1, 1, 6, 1, 10, 6, 1, 2, 1, 6, 2, 10, 6, 2, 6, 2, 1, 1, 10, 1, 10, 10, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 6, 6, 10, 1, 10, 1, 6, 2, 10, 6, 6, 1, 6, 6, 1, 6, 1, 2, 1, 2, 10, 1, 2, 2, 6, 10, 10, 6, 10, 1, 6, 2, 6, 1, 6, 6, 1, 10, 10, 1, 6, 2, 6, 1, 1, 10, 6, 2, 1, 2, 10, 6, 1, 6, 10, 1, 1, 6, 6, 1, 2, 2, 1, 6, 6, 1, 6, 1, 10, 6, 6, 2, 10, 2, 1, 2, 2, 10, 6, 2, 1, 10, 10, 6, 10, 6, 1, 10, 10, 0, 2, 2, 2, 6, 1, 2, 10, 2, 1, 2, 2, 6, 10, 10, 6, 1, 1, 6, 0, 1, 2, 2, 6, 1, 10, 2, 6, 1, 1, 6, 2, 2, 1, 10, 2, 6, 6, 1, 1, 6, 10, 6, 6, 1, 6, 10, 10, 1, 2, 6, 10, 10, 2, 2, 10, 2, 6, 6, 1, 2, 10, 2, 6, 10, 10, 10, 6, 2, 1, 1, 1, 4, 6, 1, 10, 10, 2, 2, 0, 1, 10, 2, 10, 1, 6, 10, 1, 2, 1, 2, 10, 2, 10, 10, 6, 10, 4, 10, 10, 2, 0, 6, 2, 1, 6, 9, 6, 10, 2, 0, 10, 5, 10, 2, 6, 2, 1, 1, 2, 9, 10, 6, 2, 2, 1, 6, 6, 2, 0, 10, 2, 6, 10, 1, 6, 1, 1, 6, 1, 4, 10, 2, 2, 2, 10, 10, 9, 6, 1, 1, 10, 6, 1, 2, 10, 1, 10, 6, 10, 6, 2, 2, 2, 10, 2, 2, 1, 6, 10, 1, 1, 1, 10, 1, 2, 6, 10, 1, 1, 1, 10, 2, 2, 1, 2, 1, 1, 1, 6, 1, 2, 10, 6, 2, 10, 1, 10, 10, 2, 10, 10, 1, 6, 10, 1, 2, 2, 5, 2, 1, 2, 10, 10, 10, 10, 10, 10, 1, 10, 1, 2, 1, 6, 2, 1, 2, 1, 1, 2, 1, 10, 10, 6, 1, 1, 10, 2, 2, 1, 10, 6, 1, 1, 6, 1, 2, 2, 1, 1, 6, 1, 6, 2, 2, 6, 1, 6, 1, 10, 1, 1, 10, 10, 1, 1, 1, 10, 2, 10, 6, 6, 5, 10, 1, 6, 10, 1, 5, 10, 2, 2, 10, 1, 0, 2, 10, 6, 2, 1, 6, 10, 1, 2, 10, 6, 6, 10, 2, 6, 6, 2, 6, 5, 1, 10, 6, 2, 2, 2, 1, 1, 1, 0, 6, 1, 1, 10, 10, 10, 10, 2, 1, 0, 1, 2, 10, 0, 10, 4, 2, 1, 2, 1, 1, 6, 10, 1, 6, 2, 10, 2, 10, 10, 2, 6, 6, 6, 6, 1, 1, 6, 1, 10, 2, 6, 2, 1, 2, 10, 10, 10, 2, 10, 10, 2, 10, 5, 6, 6, 1, 10, 10, 1, 10, 2, 2, 10, 10, 2, 10, 10, 10, 1, 10, 2, 1, 1, 2, 6, 2, 6, 10, 10, 1, 2, 10, 1, 10, 1, 1, 10, 0, 2, 10, 6, 6, 10, 2, 6, 1, 6, 2, 6, 6, 10, 10, 6, 2, 10, 6, 2, 1, 6, 1, 6, 10, 1, 6, 2, 10, 10, 10, 6, 1, 2, 1, 10, 6, 1, 6, 1, 6, 6, 10, 2, 2, 2, 10, 2, 1, 10, 6, 2, 1, 6, 1, 10, 1, 2, 6, 1, 6, 1, 1, 6, 10, 10, 10, 2, 2, 2, 6, 10, 1, 6, 1, 10, 2, 1, 10, 6, 2, 10, 6, 6, 8, 10, 2, 10, 10, 2, 2, 2, 10, 1, 6, 1, 1, 2, 1, 2, 10, 6, 10, 10, 5, 2, 6, 6, 10, 6, 2, 6, 60, 2, 10, 10, 1, 2, 1, 2, 1, 10, 2, 6, 6, 10, 10, 10, 2, 10, 2, 1, 2, 2, 1, 2, 2, 10, 2, 6, 10, 1, 2, 10, 6, 2, 2, 10, 1, 10, 10, 1, 1, 2, 1, 1, 1, 2, 10, 10, 10, 2, 1, 10, 10, 10, 1, 6, 2, 2, 2, 6, 10, 6, 10, 1, 2, 10, 1, 1, 6, 1, 2, 1, 6, 1, 10, 5, 2, 2, 10, 10, 6, 2, 10, 6, 9, 1, 2, 2, 2, 1, 2, 1, 10, 10, 1, 1, 2, 1, 1, 1, 6, 1, 1, 10, 6, 6, 6, 10, 2, 2, 6, 6, 6, 1, 6, 6, 6, 60, 6, 5, 2, 10, 1, 4, 2, 10, 2, 1, 2, 6, 10, 1, 1, 2, 6, 6, 6, 10, 1, 1, 10, 1, 6, 2, 10, 10, 6, 1, 6, 6, 2, 2, 6, 10, 10, 10, 6, 2, 1, 2, 6, 9, 2, 1, 6, 1, 6, 6, 10, 10, 10, 10, 6, 1, 10, 6, 1, 5, 1, 6, 10, 2, 2, 6, 6, 10, 1, 10, 10, 2, 2, 6, 6, 10, 2, 2, 1, 6, 5, 6, 10, 1, 2, 1, 2, 6, 10, 1, 6, 2, 2, 10, 2, 6, 10, 2, 2, 6, 10, 10, 2, 1, 1, 1, 6, 6, 1, 10, 6, 6, 2, 1, 10, 1, 10, 6, 1, 10, 6, 6, 1, 2, 2, 6, 2, 6, 10, 2, 10, 10, 2, 6, 1, 1, 2, 1, 1, 10, 2, 2, 2, 10, 2, 2, 6, 10, 2, 6, 6, 4, 6, 1, 10, 6, 1, 2, 6, 2, 2, 6, 10, 1, 1, 2, 1, 6, 6, 1, 10, 6, 1, 6, 6, 10, 6, 6, 10, 10, 2, 1, 10, 2, 10, 6, 2, 6, 2, 1, 1, 10, 1, 6, 10, 1, 10, 10, 6, 6, 2, 9, 6, 10, 1, 2, 2, 2, 6, 2, 10, 6, 10, 1, 2, 10, 6, 6, 1, 2, 1, 2, 6, 6, 6, 1, 6, 2, 1, 10, 10, 10, 1, 1, 1, 1, 1, 2, 2, 10, 2, 1, 2, 6, 2, 6, 1, 10, 6, 1, 2, 10, 6, 6, 1, 10, 1, 1, 2, 0, 2, 1, 2, 10, 2, 1, 1, 2, 6, 2, 2, 2, 10, 0, 1, 1, 10, 6, 1, 10, 6, 6, 6, 1, 6, 6, 1, 6, 2, 1, 6, 2, 1, 10, 1, 1, 10, 1, 10, 6, 1, 2, 1, 6, 1, 6, 6, 1, 10, 2, 2, 9, 1, 1, 2, 1, 10, 10, 1, 1, 2, 2, 9, 2, 10, 6, 6, 10, 6, 6, 1, 5, 10, 10, 1, 2, 6, 6, 2, 6, 2, 1, 2, 10, 6, 2, 2, 2, 1, 6, 2, 1, 10, 10, 10, 1, 1, 1, 6, 10, 2, 2, 10, 10, 6, 2, 6, 2, 2, 2, 2, 1, 1, 2, 9, 6, 10, 1, 6, 10, 10, 1, 6, 10, 10, 2, 6, 6, 2, 1, 10, 10, 2, 2, 2, 6, 1, 6, 1, 2, 2, 1, 10, 10, 6, 10, 6, 1, 2, 1, 1, 2, 1, 1, 2, 6, 1, 2, 2, 2, 1, 2, 2, 1, 2, 6, 6, 1, 6, 2, 6, 6, 2, 6, 6, 10, 2, 2, 6, 10, 1, 1, 10, 1, 2, 2, 1, 10, 1, 6, 1, 6, 6, 6, 1, 1, 6, 2, 6, 6, 10, 10, 10, 6, 1, 10, 10, 6, 1, 2, 1, 6, 1, 0, 10, 9, 10, 1, 6, 10, 6, 10, 6, 6, 6, 10, 6, 1, 2, 6, 6, 1, 1, 1, 10, 6, 5, 2, 9, 6, 1, 10, 2, 6, 6, 10, 6, 1, 1, 2, 2, 1, 2, 2, 1, 6, 0, 1, 2, 10, 1, 2, 1, 6, 2, 10, 1, 1, 10, 2, 1, 2, 6, 10, 6, 1, 10, 10, 2, 6, 1, 1, 5, 10, 1, 10, 2, 2, 10, 10, 10, 6, 6, 1, 6, 10, 2, 1, 1, 10, 10, 10, 2, 1, 2, 2, 6, 6, 10, 10, 5, 1, 6, 6, 1, 6, 6, 2, 1, 10, 6, 1, 6, 1, 10, 10, 6, 10, 1, 1, 1, 1, 6, 6, 6, 2, 6, 6, 2, 2, 10, 6, 6, 4, 2, 2, 10, 1, 10, 1, 6, 1, 1, 1, 2, 1, 10, 1, 1, 1, 2, 1, 2, 6, 2, 6, 6, 2, 10, 1, 1, 10, 2, 10, 10, 6, 0, 2, 6, 0, 2, 1, 1, 10, 1, 2, 2, 6, 6, 6, 6, 10, 10, 2, 2, 9, 6, 10, 10, 2, 6, 6, 2, 10, 1, 6, 1, 6, 2, 6, 2, 1, 6, 2, 2, 1, 6, 10, 1, 10, 6, 6, 2, 6, 1, 6, 10, 6, 10, 1, 1, 10, 10, 2, 1, 2, 10, 6, 2, 2, 10, 6, 6, 6, 1, 6, 6, 2, 10, 6, 6, 2, 6, 6, 1, 6, 10, 1, 2, 6, 10, 2, 10, 1, 1, 6, 1, 6, 6, 2, 2, 10, 2, 1, 0, 2, 6, 10, 10, 2, 6, 2, 1, 1, 10, 1, 10, 2, 6, 10, 6, 10, 1, 2, 10, 2, 10, 6, 1, 2, 6, 10, 6, 10, 6, 10, 6, 1, 1, 2, 6, 1, 6, 2, 1, 2, 2, 6, 6, 2, 1, 1, 6, 6, 10, 9, 2, 6, 2, 6, 2, 1, 1, 2, 1, 2, 1, 1, 50, 10, 1, 4, 0, 10, 10, 2, 1, 1, 6, 10, 10, 10, 10, 1, 1, 10, 6, 10, 6, 10, 6, 10, 10, 1, 10, 10, 1, 1, 1, 10, 10, 6, 1, 2, 6, 10, 1, 10, 1, 2, 0, 2, 2, 10, 6, 2, 2, 10, 10, 6, 2, 2, 2, 2, 0, 2, 2, 5, 10, 5, 10, 10, 6, 2, 6, 10, 10, 1, 1, 1, 10, 1, 2, 6, 2, 6, 1, 1, 2, 10, 4, 6, 6, 10, 6, 6, 6, 6, 2, 10, 6, 10, 1, 2, 1, 2, 1, 2, 10, 6, 2, 10, 1, 10, 6, 1, 1, 1, 2, 6, 1, 9, 2, 2, 10, 1, 1, 9, 6, 1, 10, 2, 1, 2, 6, 10, 6, 10, 2, 10, 10, 4, 10, 6, 1, 1, 6, 1, 0, 2, 6, 10, 1, 1, 2, 10, 2, 6, 9, 10, 10, 6, 2, 2, 10, 10, 10, 10, 2, 1, 10, 10, 1, 6, 2, 6, 1, 1, 1, 10, 2, 5, 6, 2, 1, 2, 6, 10, 2, 6, 2, 1, 10, 6, 1, 2, 6, 1, 6, 10, 5, 1, 1, 10, 9, 6, 1, 3, 1, 1, 6, 6, 2, 6, 6, 2, 6, 6, 10, 10, 1, 2, 2, 2, 6, 1, 1, 6, 10, 2, 2, 1, 1, 10, 10, 6, 1, 2, 9, 10, 6, 10, 10, 2, 6, 6, 2, 6, 10, 2, 6, 0, 6, 10, 6, 10, 2, 10, 6, 1, 1, 1, 6, 1, 1, 6, 6, 6, 6, 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6, 1, 2, 2, 6, 10, 4, 2, 2, 1, 6, 1, 1, 6, 6, 10, 6, 10, 10, 1, 10, 6, 2, 1, 6, 6, 6, 1, 6, 10, 1, 1, 6, 10, 6, 10, 10, 10, 2, 2, 6, 10, 1, 6, 1, 1, 9, 6, 1, 2, 1, 10, 10, 6, 2, 1, 2, 1, 10, 1, 6, 1, 6, 10, 2, 1, 2, 2, 6, 6, 6, 1, 6, 2, 9, 6, 6, 2, 6, 1, 10, 10, 10, 1, 6, 1, 10, 1, 2, 1, 6, 2, 1, 1, 1, 10, 2, 0, 2, 10, 6, 2, 1, 2, 6, 2, 1, 0, 1, 1, 2, 1, 6, 2, 1, 1, 6, 6, 2, 2, 2, 6, 1, 10, 10, 2, 2, 6, 10, 6, 1, 6, 6, 6, 2, 1, 1, 6, 1, 6, 9, 1, 1, 10, 6, 1, 10, 1, 40, 6, 1, 10, 1, 10, 2, 6, 1, 6, 10, 10, 2, 6, 10, 6, 6, 1, 10, 6, 6, 10, 10, 1, 10, 2, 10, 2, 6, 1, 1, 6, 10, 10, 6, 6, 2, 1, 2, 10, 10, 1, 2, 10, 2, 2, 10, 10, 10, 10, 2, 10, 2, 10, 1, 6, 2, 6, 2, 1, 6, 10, 6, 0, 0, 4, 6, 6, 2, 6, 6, 1, 6, 10, 2, 2, 1, 1, 6, 2, 6, 6, 10, 1, 10, 2, 1, 6, 1, 2, 10, 1, 1, 10, 6, 10, 2, 6, 10, 10, 10, 6, 2, 6, 2, 1, 2, 6, 1, 10, 1, 6, 2, 2, 2, 2, 1, 1, 1, 1, 10, 10, 2, 1, 1, 10, 6, 6, 6, 2, 6, 10, 9, 0, 10, 1, 1, 1, 10, 6, 2, 1, 10, 6, 2, 1, 1, 10, 2, 6, 2, 2, 6, 10, 1, 2, 10, 6, 6, 1, 6, 10, 1, 6, 1, 10, 1, 6, 1, 1, 6, 0, 1, 10, 10, 1, 6, 1, 2, 6, 2, 1, 6, 2, 2, 2, 2, 2, 10, 10, 2, 1, 6, 1, 10, 2, 1, 2, 1, 2, 10, 6, 10, 10, 2, 2, 6, 6, 1, 2, 6, 2, 10, 6, 10, 1, 2, 2, 10, 6, 1, 6, 2, 10, 2, 4, 10, 2, 6, 2, 6, 1, 2, 10, 10, 2, 2, 6, 6, 1, 10, 1, 2, 1, 1, 9, 1, 2, 10, 6, 10, 10, 6, 10, 6, 2, 6, 1, 2, 10, 2, 6, 10, 2, 10, 1, 10, 2, 10, 10, 1, 2, 10, 1, 1, 10, 6, 6, 6, 10, 1, 10, 6, 10, 1, 2, 10, 6, 2, 2, 10, 6, 2, 1, 0, 1, 1, 10, 1, 6, 10, 2, 2, 2, 6, 2, 10, 1, 6, 10, 6, 2, 2, 6, 2, 2, 1, 6, 1, 1, 10, 10, 6, 10, 2, 10, 9, 1, 9, 1, 2, 1, 2, 5, 2, 1, 1, 6, 1, 2, 6, 2, 2, 1, 2, 10, 1, 2, 6, 10, 10, 6, 10, 2, 2, 1, 10, 2, 10, 2, 6, 1, 1, 10, 6, 10, 6, 2, 10, 6, 2, 6, 1, 10, 6, 6, 10, 10, 1, 1, 2, 1, 1, 1, 9, 2, 2, 10, 10, 2, 2, 2, 2, 10, 2, 1, 2, 1, 6, 6, 6, 10, 1, 10, 1, 10, 2, 10, 1, 6, 10, 1, 10, 1, 2, 9, 6, 9, 6, 4, 2, 0, 6, 10, 2, 1, 10, 1, 10, 2, 1, 6, 10, 2, 1, 2, 6, 1, 1, 2, 6, 3, 0, 9, 2, 1, 6, 2, 6, 1, 6, 1, 10, 10, 2, 1, 1, 2, 1, 1, 6, 1, 2, 6, 2, 10, 2, 2, 10, 2, 10, 6, 10, 10, 6, 10, 2, 10, 6, 6, 6, 2, 6, 0, 10, 6, 1, 6, 2, 1, 10, 2, 1, 2, 10, 10, 6, 2, 1, 6, 6, 2, 10, 1, 6, 10, 2, 6, 6, 1, 1, 6, 1, 2, 6, 1, 2, 2, 2, 10, 2, 10, 2, 10, 6, 2, 10, 2, 10, 10, 6, 6, 1, 10, 2, 2, 10, 10, 2, 1, 6, 2, 6, 1, 2, 2, 6, 2, 2, 6, 10, 2, 10, 6, 10, 10, 2, 1, 1, 1, 6, 2, 10, 1, 6, 10, 2, 2, 10, 2, 10, 2, 6, 10, 10, 2, 2, 6, 2, 2, 10, 2, 2, 4, 1, 2, 2, 10, 10, 6, 6, 2, 2, 6, 6, 10, 6, 1, 1, 6, 6, 1, 6, 2, 1, 6, 2, 6, 1, 10, 10, 6, 6, 10, 6, 1, 1, 1, 10, 2, 6, 1, 6, 1, 6, 1, 1, 1, 1, 6, 6, 6, 1, 10, 2, 1, 5, 10, 1, 6, 2, 6, 1, 4, 6, 1, 2, 2, 1, 10, 1, 1, 1, 6, 10, 0, 1, 10, 6, 2, 6, 2, 10, 2, 1, 1, 5, 10, 2, 1, 10, 2, 10, 2, 10, 2, 1, 2, 6, 6, 10, 10, 6, 2, 2, 6, 10, 10, 2, 10, 1, 6, 2, 1, 1, 10, 6, 6, 2, 6, 10, 10, 10, 6, 10, 1, 1, 2, 2, 10, 6, 10, 1, 1, 10, 10, 1, 10, 2, 10, 10, 6, 1, 6, 6, 2, 10, 2, 10, 1, 10, 10, 1, 1, 6, 1, 1, 1, 2, 6, 1, 1, 6, 6, 10, 10, 1, 2, 10, 1, 1, 6, 6, 10, 1, 10, 1, 2, 1, 6, 10, 1, 1, 1, 0, 1, 2, 6, 6, 10, 2, 1, 10, 10, 2, 6, 2, 2, 2, 6, 2, 6, 6, 2, 6, 10, 10, 10, 6, 2, 1, 6, 1, 10, 10, 6, 1, 10, 5, 2, 6, 10, 1, 2, 1, 40, 6, 1, 10, 10, 1, 6, 2, 6, 1, 10, 10, 2, 2, 6, 1, 10, 10, 2, 2, 6, 1, 6, 10, 2, 10, 6, 10, 6, 2, 10, 6, 10, 1, 6, 6, 6, 2, 3, 2, 10, 6, 5, 10, 6, 10, 6, 6, 2, 1, 6, 1, 10, 1, 6, 2, 10, 1, 2, 6, 2, 10, 5, 2, 10, 2, 10, 6, 6, 2, 1, 10, 10, 2, 1, 6, 4, 10, 6, 2, 1, 6, 6, 6, 1, 2, 2, 2, 2, 6, 10, 6, 10, 1, 1, 6, 1, 6, 2, 2, 6, 10, 6, 6, 6, 1, 1, 6, 6, 6, 2, 2, 10, 2, 6, 6, 1, 1, 1, 2, 1, 6, 10, 1, 9, 2, 2, 2, 10, 1, 1, 10, 0, 6, 6, 2, 1, 10, 1, 1, 2, 1, 6, 2, 2, 10, 1, 6, 10, 2, 2, 2, 6, 6, 6, 4, 2, 1, 6, 1, 6, 2, 5, 1, 2, 2, 6, 2, 10, 6, 6, 10, 2, 10, 2, 2, 2, 1, 2, 6, 10, 4, 10, 1, 10, 10, 2, 6, 2, 10, 2, 6, 6, 6, 6, 1, 10, 2, 6, 2, 1, 1, 10, 10, 1, 2, 1, 1, 2, 2, 10, 10, 6, 10, 1, 6, 6, 1, 2, 2, 6, 2, 10, 2, 6, 6, 10, 6, 2, 10, 10, 6, 6, 1, 10, 10, 1, 6, 1, 2, 6, 1, 2, 6, 2, 1, 2, 1, 2, 1, 10, 10, 10, 10, 10, 2, 2, 1, 2, 10, 2, 4, 10, 6, 1, 6, 2, 10, 6, 2, 1, 10, 10, 9, 2, 1, 10, 2, 10, 2, 10, 2, 6, 1, 1, 10, 6, 2, 2, 10, 10, 1, 10, 10, 1, 2, 10, 1, 6, 1, 2, 10, 10, 6, 10, 1, 10, 10, 10, 2, 6, 1, 1, 10, 10, 10, 10, 1, 10, 6, 10, 1, 2, 1, 6, 2, 2, 10, 6, 10, 6, 6, 1, 6, 6, 6, 4, 2, 1, 6, 6, 10, 2, 6, 1, 6, 1, 1, 1, 1, 6, 1, 4, 2, 1, 2, 1, 1, 2, 10, 1, 5, 1, 10, 1, 1, 2, 10, 1, 6, 6, 10, 2, 1, 2, 2, 6, 6, 6, 10, 10, 1, 6, 2, 1, 1, 6, 6, 6, 1, 1, 9, 10, 1, 10, 2, 9, 1, 1, 6, 6, 6, 1, 1, 2, 6, 1, 6, 6, 0, 1, 2, 1, 10, 10, 6, 1, 6, 10, 6, 1, 10, 6, 2, 1, 10, 1, 2, 6, 6, 2, 10, 2, 2, 2, 6, 6, 6, 2, 6, 10, 6, 10, 0, 1, 1, 1, 10, 10, 2, 2, 10, 6, 2, 1, 2, 1, 1, 5, 1, 1, 10, 2, 5, 2, 1, 10, 6, 1, 1, 2, 2, 10, 1, 10, 4, 10, 1, 10, 1, 1, 1, 6, 1, 1, 2, 2, 10, 9, 6, 6, 10, 2, 1, 2, 2, 1, 10, 1, 6, 10, 6, 10, 10, 10, 10, 6, 1, 1, 6, 2, 10, 2, 2, 2, 1, 2, 1, 6, 1, 1, 10, 2, 10, 10, 10, 9, 6, 2, 10, 6, 10, 1, 2, 1, 2, 2, 2, 2, 2, 6, 2, 6, 10, 2, 6, 10, 1, 10, 6, 2, 10, 1, 1, 6, 6, 10, 2, 10, 10, 2, 10, 1, 2, 1, 10, 10, 6, 9, 2, 2, 10, 2, 1, 1, 6, 2, 6, 2, 6, 10, 2, 10, 1, 10, 2, 10, 10, 1, 6, 6, 2, 2, 1, 6, 2, 2, 10, 1, 10, 10, 6, 1, 2, 1, 1, 1, 10, 1, 1, 2, 1, 1, 6, 1, 6, 10, 2, 4, 1, 2, 6, 1, 2, 2, 2, 1, 10, 10, 6, 6, 2, 1, 1, 10, 6, 6, 1, 6, 1, 2, 6, 2, 2, 10, 2, 2, 2, 2, 1, 1, 6, 1, 5, 2, 6, 2, 1, 2, 10, 10, 9, 1, 10, 1, 1, 6, 2, 6, 6, 1, 10, 1, 1, 1, 6, 2, 10, 1, 10, 6, 1, 1, 6, 10, 2, 2, 1, 2, 10, 2, 6, 6, 10, 1, 4, 2, 1, 2, 5, 2, 2, 10, 1, 10, 2, 10, 2, 10, 10, 6, 2, 2, 2, 1, 10, 7, 10, 1, 10, 1, 1, 1, 6, 1, 1, 2, 2, 1, 10, 6, 6, 6, 10, 10, 6, 2, 2, 10, 1, 10, 1, 1, 6, 6, 6, 10, 1, 1, 1, 6, 10, 6, 10, 2, 2, 1, 10, 1, 2, 10, 1, 10, 6, 2, 6, 6, 1, 6, 6, 10, 10, 1, 10, 6, 2, 6, 1, 6, 1, 5, 6, 1, 1, 1, 10, 1, 1, 2, 1, 6, 6, 10, 1, 2, 2, 2, 2, 2, 2, 1, 6, 1, 10, 2, 10, 6, 2, 6, 2, 6, 2, 1, 10, 6, 1, 6, 2, 2, 6, 1, 2, 10, 10, 6, 1, 1, 2, 1, 1, 1, 1, 10, 1, 6, 10, 2, 10, 6, 1, 1, 10, 2, 6, 2, 6, 6, 10, 1, 1, 2, 10, 10, 2, 10, 10, 6, 5, 1, 6, 10, 2, 10, 1, 10, 10, 6, 2, 6, 0, 10, 6, 2, 1, 6, 1, 10, 4, 10, 2, 1, 10, 1, 6, 2, 6, 1, 1, 10, 1, 2, 2, 10, 6, 2, 2, 6, 1, 1, 10, 1, 1, 10, 10, 0, 1, 6, 2, 2, 6, 10, 10, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 2, 2, 6, 1, 1, 10, 6, 2, 2, 1, 1, 10, 2, 1, 1, 1, 2, 1, 10, 4, 2, 6, 2, 1, 6, 2, 10, 10, 1, 10, 2, 1, 4, 10, 6, 6, 1, 6, 10, 1, 1, 4, 2, 2, 1, 1, 6, 1, 1, 2, 2, 1, 2, 10, 6, 6, 6, 2, 6, 1, 2, 6, 1, 2, 6, 10, 2, 9, 2, 10, 1, 10, 10, 1, 1, 1, 1, 10, 6, 2, 6, 6, 2, 1, 1, 10, 1, 2, 6, 10, 6, 10, 6, 2, 2, 5, 1, 1, 10, 10, 6, 2, 1, 6, 2, 6, 6, 2, 10, 10, 9, 6, 10, 1, 1, 6, 2, 10, 6, 6, 1, 2, 10, 1, 2, 6, 2, 1, 0, 6, 6, 2, 2, 1, 1, 2, 2, 2, 10, 10, 1, 1, 10, 6, 1, 1, 10, 6, 6, 10, 1, 2, 6, 2, 10, 6, 9, 1, 10, 6, 1, 10, 10, 2, 10, 6, 6, 2, 10, 2, 5, 2, 10, 6, 10, 2, 1, 2, 6, 1, 10, 10, 1, 1, 1, 6, 10, 1, 4, 2, 10, 6, 10, 6, 10, 10, 2, 1, 1, 10, 6, 1, 10, 10, 6, 2, 5, 6, 2, 2, 1, 2, 6, 0, 6, 1, 10, 10, 2, 10, 6, 10, 1, 2, 10, 2, 10, 10, 6, 10, 6, 1, 6, 6, 2, 6, 2, 1, 2, 6, 2, 2, 4, 9, 2, 6, 1, 10, 2, 2, 10, 1, 6, 6, 1, 10, 1, 2, 6, 1, 2, 1, 2, 6, 2, 6, 2, 1, 10, 10, 2, 1, 1, 6, 1, 6, 10, 1, 6, 6, 2, 1, 2, 3, 3, 6, 10, 2, 10, 1, 10, 10, 1, 2, 10, 2, 1, 10, 2, 10, 2, 9, 1, 2, 2, 2, 10, 6, 6, 1, 2, 6, 2, 9, 2, 1, 6, 10, 10, 6, 2, 1, 2, 2, 2, 2, 2, 2, 2, 6, 10, 6, 1, 1, 2, 2, 1, 6, 2, 6, 1, 10, 10, 1, 1, 6, 2, 10, 1, 6, 2, 10, 10, 2, 2, 6, 1, 6, 10, 10, 6, 1, 1, 6, 10, 6, 10, 2, 2, 1, 2, 10, 10, 1, 6, 6, 2, 2, 10, 1, 2, 2, 6, 2, 9, 10, 6, 1, 2, 4, 6, 1, 6, 10, 10, 2, 10, 6, 1, 6, 10, 10, 6, 2, 1, 1, 1, 1, 4, 1, 10, 10, 6, 2, 1, 1, 1, 1, 10, 2, 1, 10, 10, 10, 4, 6, 6, 2, 6, 1, 2, 10, 1, 6, 1, 6, 10, 2, 6, 10, 6, 2, 10, 1, 2, 1, 10, 10, 10, 2, 1, 6, 10, 6, 6, 10, 10, 1, 1, 2, 2, 1, 9, 1, 2, 1, 10, 2, 1, 6, 6, 10, 10, 6, 6, 1, 10, 6, 2, 10, 6, 10, 6, 2, 10, 10, 10, 10, 10, 1, 2, 1, 2, 10, 1, 2, 6, 1, 5, 1, 6, 1, 6, 1, 10, 6, 10, 10, 6, 2, 2, 1, 1, 5, 6, 6, 2, 1, 1, 2, 2, 6, 6, 6, 2, 2, 10, 6, 10, 6, 2, 10, 1, 10, 10, 10, 2, 6, 6, 2, 6, 2, 1, 2, 2, 2, 1, 1, 10, 2, 6, 10, 2, 6, 10, 6, 6, 1, 10, 2, 10, 10, 1, 6, 2, 1, 2, 5, 2, 6, 10, 6, 10, 2, 2, 6, 6, 2, 1, 6, 10, 10, 10, 2, 10, 6, 2, 2, 10, 10, 2, 2, 10, 2, 10, 1, 2, 10, 1, 10, 6, 10, 6, 10, 10, 2, 2, 1, 10, 2, 6, 10, 6, 2, 6, 2, 2, 10, 6, 1, 10, 1, 1, 6, 1, 6, 10, 2, 10, 2, 2, 6, 6, 6, 10, 1, 10, 1, 4, 10, 1, 6, 10, 10, 6, 10, 1, 2, 2, 6, 1, 1, 10, 10, 6, 2, 2, 6, 2, 6, 1, 10, 10, 10, 2, 2, 10, 2, 2, 10, 10, 2, 10, 10, 10, 10, 6, 1, 6, 6, 6, 10, 2, 6, 1, 6, 1, 2, 1, 6, 6, 10, 1, 2, 1, 1, 1, 1, 2, 10, 6, 1, 6, 9, 6, 2, 2, 0, 6, 6, 2, 6, 1, 1, 2, 10, 6, 9, 1, 6, 6, 6, 10, 2, 1, 2, 10, 1, 10, 10, 1, 10, 6, 1, 2, 10, 6, 2, 2, 10, 2, 6, 6, 2, 1, 2, 2, 1, 1, 6, 10, 1, 2, 10, 1, 10, 6, 2, 6, 1, 10, 1, 1, 1, 6, 6, 2, 6, 1, 1, 6, 1, 1, 1, 10, 1, 6, 10, 6, 10, 6, 10, 1, 1, 8, 6, 1, 6, 2, 10, 6, 2, 6, 2, 2, 2, 10, 10, 1, 1, 10, 6, 2, 10, 6, 1, 0, 2, 1, 10, 6, 10, 6, 10, 9, 10, 2, 10, 6, 6, 1, 10, 1, 6, 1, 10, 5, 5, 2, 2, 10, 2, 10, 10, 6, 10, 1, 10, 6, 6, 2, 10, 2, 2, 2, 1, 2, 2, 1, 6, 4, 6, 10, 6, 1, 2, 2, 2, 6, 10, 10, 2, 2, 10, 2, 2, 2, 2, 1, 10, 2, 6, 10, 1, 1, 1, 6, 10, 6, 2, 4, 10, 10, 2, 2, 6, 2, 6, 2, 2, 10, 2, 1, 6, 10, 6, 2, 2, 6, 2, 10, 2, 10, 10, 1, 1, 6, 1, 6, 10, 10, 2, 1, 9, 6, 10, 1, 1, 9, 10, 1, 1, 10, 6, 2, 10, 2, 1, 10, 6, 10, 1, 2, 2, 10, 2, 6, 2, 1, 1, 6, 10, 6, 6, 10, 6, 9, 2, 2, 6, 6, 0, 6, 6, 6, 1, 10, 6, 6, 1, 10, 6, 9, 1, 10, 10, 1, 1, 1, 10, 2, 5, 6, 9, 6, 10, 6, 6, 10, 10, 2, 1, 2, 1, 2, 2, 2, 2, 1, 6, 6, 4, 1, 1, 2, 2, 2, 10, 0, 1, 2, 6, 1, 2, 2, 2, 2, 2, 6, 1, 6, 10, 10, 6, 1, 10, 6, 1, 10, 2, 2, 2, 6, 1, 2, 6, 2, 1, 2, 10, 2, 6, 6, 1, 1, 10, 1, 1, 10, 10, 2, 10, 6, 10, 1, 10, 2, 10, 2, 9, 2, 2, 1, 1, 1, 10, 6, 1, 10, 6, 6, 1, 6, 1, 6, 6, 1, 6, 1, 1, 0, 10, 1, 6, 2, 1, 1, 6, 10, 2, 10, 10, 1, 6, 1, 1, 2, 10, 1, 5, 1, 2, 2, 6, 2, 0, 2, 2, 2, 6, 1, 2, 2, 6, 2, 6, 2, 6, 10, 2, 10, 6, 6, 2, 6, 1, 1, 10, 10, 1, 6, 2, 6, 10, 10, 0, 2, 10, 2, 1, 6, 2, 10, 2, 6, 6, 10, 6, 2, 1, 2, 6, 2, 1, 2, 10, 6, 1, 2, 6, 6, 1, 1, 10, 10, 2, 6, 6, 10, 1, 6, 2, 2, 4, 6, 6, 10, 10, 6, 2, 2, 2, 4, 6, 10, 2, 2, 2, 2, 1, 1, 6, 2, 2, 2, 2, 10, 6, 10, 2, 1, 2, 10, 2, 1, 2, 6, 1, 6, 6, 1, 2, 2, 10, 2, 2, 2, 1, 6, 2, 1, 2, 1, 6, 2, 6, 10, 6, 6, 6, 1, 10, 6, 10, 2, 10, 1, 6, 2, 6, 6, 10, 1, 2, 4, 2, 0, 1, 6, 10, 6, 1, 6, 6, 10, 2, 6, 1, 2, 2, 1, 6, 6, 10, 2, 6, 10, 10, 2, 2, 10, 1, 1, 6, 2, 6, 1, 10, 2, 1, 2, 2, 10, 4, 6, 10, 6, 6, 6, 2, 6, 2, 0, 1, 2, 6, 1, 10, 2, 1, 6, 2, 5, 2, 10, 1, 6, 10, 1, 10, 2, 6, 6, 2, 6, 6, 6, 10, 2, 6, 10, 1, 1, 10, 10, 10, 10, 2, 2, 10, 6, 1, 1, 1, 1, 1, 10, 10, 6, 2, 2, 10, 10, 2, 6, 2, 10, 10, 10, 6, 6, 10, 6, 6, 1, 6, 6, 4, 9, 10, 10, 10, 2, 6, 6, 6, 1, 1, 6, 10, 10, 6, 10, 6, 2, 6, 2, 10, 10, 1, 1, 1, 10, 6, 1, 2, 10, 6, 6, 0, 1, 2, 6, 10, 6, 2, 1, 6, 10, 2, 1, 2, 6, 6, 10, 10, 10, 6, 10, 6, 10, 1, 2, 6, 6, 2, 6, 6, 10, 2, 10, 6, 2, 2, 2, 6, 10, 10, 2, 10, 1, 10, 6, 2, 10, 6, 2, 2, 10, 6, 6, 1, 10, 2, 6, 1, 1, 10, 6, 1, 10, 1, 1, 10, 6, 1, 6, 6, 6, 1, 1, 6, 2, 1, 6, 9, 6, 10, 1, 2, 1, 2, 1, 1, 6, 6, 1, 10, 6, 5, 10, 10, 10, 6, 2, 1, 1, 6, 10, 10, 10, 2, 1, 2, 10, 1, 6, 10, 5, 1, 2, 2, 6, 1, 2, 10, 2, 6, 1, 2, 2, 2, 10, 6, 0, 2, 2, 2, 6, 6, 1, 10, 6, 10, 1, 10, 10, 2, 6, 2, 6, 6, 2, 6, 6, 10, 10, 1, 1, 2, 1, 1, 1, 10, 1, 1, 1, 6, 6, 6, 1, 10, 1, 10, 10, 1, 6, 10, 1, 2, 2, 4, 1, 1, 6, 2, 1, 6, 6, 2, 1, 2, 10, 10, 1, 1, 1, 10, 2, 1, 1, 1, 1, 1, 1, 6, 6, 6, 10, 1, 10, 1, 1, 1, 10, 6, 10, 6, 2, 10, 1, 10, 1, 2, 1, 1, 1, 2, 6, 6, 2, 1, 10, 6, 1, 10, 2, 1, 2, 2, 2, 10, 10, 2, 1, 2, 10, 2, 2, 1, 10, 6, 1, 1, 1, 1, 10, 2, 1, 1, 2, 2, 10, 2, 2, 10, 10, 6, 1, 1, 1, 6, 4, 2, 10, 1, 10, 9, 1, 10, 1, 6, 2, 6, 1, 10, 10, 1, 10, 6, 10, 1, 2, 10, 5, 1, 2, 6, 10, 6, 1, 6, 6, 1, 1, 1, 10, 6, 10, 2, 4, 10, 6, 1, 1, 1, 2, 6, 1, 1, 2, 1, 5, 1, 6, 10, 10, 10, 1, 0, 2, 6, 10, 10, 6, 6, 2, 6, 2, 6, 6, 6, 10, 6, 4, 1, 6, 10, 2, 2, 10, 6, 1, 10, 6, 6, 1, 1, 1, 2, 2, 2, 10, 1, 2, 1, 10, 1, 6, 1, 6, 6, 2, 2, 1, 6, 6, 2, 10, 10, 10, 6, 2, 6, 6, 2, 6, 1, 1, 10, 10, 6, 2, 1, 2, 6, 10, 1, 1, 1, 10, 1, 2, 1, 1, 10, 2, 6, 6, 1, 2, 10, 2, 1, 1, 2, 1, 2, 10, 10, 6, 1, 0, 1, 10, 10, 5, 2, 10, 1, 6, 1, 10, 6, 10, 4, 6, 2, 10, 6, 1, 1, 6, 1, 10, 1, 1, 10, 10, 1, 2, 10, 2, 2, 1, 10, 2, 6, 2, 1, 1, 10, 10, 1, 6, 10, 10, 1, 10, 6, 1, 6, 10, 8, 10, 2, 2, 10, 2, 6, 2, 1, 2, 6, 10, 2, 10, 2, 1, 1, 2, 1, 10, 1, 10, 2, 1, 10, 1, 10, 4, 6, 10, 10, 10, 2, 6, 1, 10, 0, 2, 1, 2, 1, 6, 6, 2, 6, 10, 1, 10, 10, 6, 1, 9, 6, 10, 6, 2, 10, 1, 2, 2, 10, 6, 1, 10, 6, 1, 2, 1, 1, 1, 6, 10, 2, 6, 1, 1, 2, 6, 2, 1, 6, 2, 1, 1, 6, 10, 1, 2, 10, 10, 1, 6, 6, 6, 2, 6, 1, 2, 6, 10, 2, 2, 2, 10, 10, 2, 1, 2, 6, 5, 10, 10, 4, 1, 2, 2, 2, 2, 6, 10, 10, 6, 6, 10, 2, 6, 10, 1, 1, 2, 2, 6, 2, 1, 6, 2, 1, 1, 6, 2, 1, 6, 10, 10, 6, 2, 2, 10, 2, 6, 10, 2, 10, 2, 6, 10, 6, 2, 6, 2, 10, 10, 2, 1, 1, 10, 2, 2, 2, 2, 6, 1, 2, 2, 6, 10, 2, 10, 10, 2, 2, 10, 2, 6, 6, 10, 10, 6, 1, 1, 1, 10, 10, 1, 6, 1, 6, 1, 2, 1, 2, 10, 1, 6, 1, 6, 2, 10, 6, 1, 2, 2, 1, 1, 1, 6, 6, 1, 10, 2, 2, 2, 2, 1, 1, 2, 10, 6, 2, 2, 2, 2, 6, 1, 5, 2, 6, 9, 6, 9, 1, 1, 4, 2, 10, 1, 10, 10, 2, 2, 1, 10, 6, 10, 1, 10, 2, 10, 10, 2, 6, 1, 6, 4, 6, 6, 1, 6, 2, 2, 6, 2, 2, 2, 1, 6, 10, 10, 1, 10, 6, 6, 1, 6, 2, 2, 10, 1, 6, 6, 6, 10, 2, 40, 10, 1, 2, 6, 6, 10, 6, 2, 2, 6, 6, 10, 1, 2, 1, 6, 10, 2, 10, 2, 2, 2, 10, 1, 1, 1, 10, 10, 10, 10, 2, 6, 10, 6, 2, 1, 6, 6, 2, 2, 5, 10, 0, 2, 2, 10, 2, 10, 6, 0, 6, 1, 6, 6, 2, 2, 10, 6, 6, 6, 2, 6, 1, 2, 10, 2, 2, 6, 6, 10, 1, 1, 1, 10, 10, 6, 6, 6, 1, 1, 10, 10, 6, 6, 2, 2, 6, 10, 6, 6, 2, 2, 10, 6, 1, 1, 10, 1, 6, 10, 2, 1, 2, 1, 10, 10, 2, 4, 6, 6, 1, 10, 1, 6, 1, 10, 1, 4, 6, 2, 2, 6, 1, 10, 1, 2, 1, 2, 6, 2, 2, 0, 1, 10, 1, 1, 2, 10, 2, 1, 1, 6, 1, 6, 1, 6, 2, 1, 10, 2, 6, 1, 1, 10, 1, 6, 5, 1, 6, 10, 6, 5, 2, 1, 6, 6, 1, 1, 1, 5, 10, 6, 2, 10, 2, 1, 10, 10, 2, 2, 10, 2, 2, 2, 1, 1, 2, 10, 2, 6, 1, 2, 1, 10, 2, 10, 10, 2, 1, 10, 6, 2, 2, 6, 6, 1, 6, 10, 2, 1, 6, 2, 1, 6, 6, 6, 10, 6, 1, 6, 10, 6, 6, 10, 2, 1, 2, 4, 6, 6, 10, 6, 6, 10, 1, 10, 6, 2, 1, 2, 2, 2, 10, 2, 2, 10, 10, 2, 10, 2, 1, 2, 6, 10, 2, 10, 1, 6, 1, 5, 6, 6, 2, 2, 1, 10, 6, 10, 2, 1, 4, 6, 10, 10, 6, 10, 10, 10, 6, 10, 1, 1, 1, 2, 2, 9, 6, 6, 2, 6, 1, 1, 6, 4, 10, 1, 1, 1, 2, 1, 2, 6, 10, 9, 6, 10, 10, 5, 1, 10, 4, 1, 2, 1, 2, 10, 10, 10, 6, 10, 10, 1, 10, 10, 2, 6, 1, 6, 2, 6, 10, 1, 10, 2, 1, 6, 2, 10, 6, 1, 10, 9, 1, 6, 2, 1, 10, 6, 1, 2, 1, 10, 10, 2, 6, 2, 10, 6, 6, 10, 2, 2, 1, 4, 1, 6, 1, 1, 10, 1, 1, 6, 6, 1, 2, 10, 6, 6, 10, 6, 6, 2, 6, 1, 10, 2, 10, 1, 1, 10, 6, 6, 1, 1, 2, 10, 6, 2, 10, 10, 1, 1, 10, 10, 10, 6, 1, 10, 10, 1, 6, 6, 6, 2, 10, 6, 6, 1, 2, 2, 2, 2, 2, 10, 1, 10, 10, 10, 1, 1, 6, 6, 1, 1, 10, 2, 1, 1, 10, 6, 1, 6, 10, 4, 10, 9, 1, 2, 6, 6, 1, 1, 6, 2, 1, 2, 6, 6, 6, 1, 2, 6, 10, 10, 1, 2, 1, 10, 1, 6, 10, 6, 1, 2, 10, 1, 2, 10, 1, 4, 5, 1, 6, 2, 6, 4, 2, 6, 2, 1, 2, 1, 2, 10, 6, 1, 10, 1, 6, 2, 2, 2, 2, 2, 2, 1, 1, 10, 4, 2, 10, 10, 10, 10, 10, 2, 2, 1, 1, 6, 1, 10, 10, 10, 1, 10, 1, 1, 6, 6, 6, 10, 10, 1, 6, 6, 2, 10, 1, 1, 2, 1, 2, 1, 4, 10, 1, 2, 2, 1, 6, 1, 10, 1, 10, 2, 1, 10, 2, 10, 1, 2, 10, 6, 1, 1, 1, 10, 1, 6, 6, 2, 10, 2, 6, 10, 10, 1, 10, 10, 10, 1, 1, 2, 10, 1, 2, 2, 10, 2, 10, 6, 6, 2, 2, 10, 10, 6, 2, 2, 1, 10, 10, 1, 6, 2, 1, 1, 6, 10, 2, 6, 10, 10, 10, 5, 6, 10, 2, 6, 10, 6, 2, 6, 2, 6, 1, 10, 2, 1, 1, 1, 6, 2, 2, 1, 10, 10, 2, 10, 5, 2, 1, 6, 1, 1, 10, 2, 6, 6, 6, 2, 2, 6, 0, 2, 2, 2, 2, 6, 6, 6, 2, 6, 1, 2, 6, 10, 1, 1, 10, 6, 1, 2, 2, 1, 10, 1, 10, 6, 1, 10, 10, 6, 6, 10, 2, 10, 10, 10, 2, 6, 10, 6, 1, 1, 10, 10, 6, 2, 6, 6, 2, 2, 2, 6, 10, 1, 2, 1, 0, 2, 6, 6, 10, 10, 10, 1, 6, 2, 1, 1, 1, 2, 10, 10, 1, 2, 10, 2, 1, 6, 6, 6, 1, 1, 6, 2, 2, 10, 1, 10, 6, 2, 6, 6, 0, 2, 1, 10, 10, 6, 10, 1, 2, 2, 2, 2, 1, 2, 1, 6, 1, 2, 1, 6, 6, 1, 10, 1, 2, 2, 2, 1, 10, 6, 1, 2, 2, 10, 2, 2, 1, 10, 5, 2, 1, 10, 6, 1, 1, 10, 10, 10, 6, 5, 6, 1, 6, 1, 1, 1, 6, 1, 2, 1, 10, 10, 6, 10, 1, 10, 6, 2, 10, 2, 6, 10, 2, 2, 6, 1, 2, 9, 6, 6, 6, 6, 1, 2, 2, 10, 1, 10, 6, 6, 1, 2, 2, 10, 10, 1, 1, 2, 1, 2, 10, 10, 2, 6, 1, 10, 1, 10, 1, 6, 2, 10, 2, 6, 6, 10, 2, 6, 1, 2, 2, 6, 10, 6, 2, 6, 2, 2, 2, 9, 90, 10, 2, 2, 10, 6, 2, 2, 6, 1, 6, 1, 6, 6, 2, 2, 2, 10, 0, 10, 2, 6, 10, 1, 10, 6, 2, 2, 2, 6, 6, 5, 6, 6, 1, 2, 2, 2, 6, 2, 1, 1, 2, 10, 2, 2, 6, 1, 6, 2, 1, 1, 6, 1, 2, 10, 2, 6, 6, 1, 2, 2, 6, 10, 6, 6, 6, 10, 6, 1, 1, 2, 2, 2, 1, 6, 2, 6, 10, 6, 6, 2, 1, 2, 1, 2, 6, 6, 6, 6, 6, 10, 1, 10, 1, 6, 2, 6, 10, 1, 5, 1, 2, 4, 10, 10, 6, 2, 6, 10, 10, 10, 2, 9, 1, 6, 1, 6, 10, 1, 1, 2, 6, 1, 1, 6, 6, 6, 2, 1, 2, 2, 2, 1, 2, 2, 1, 9, 6, 1, 10, 6, 10, 6, 4, 10, 6, 10, 6, 2, 10, 10, 10, 1, 2, 10, 2, 6, 2, 10, 2, 10, 6, 9, 10, 6, 10, 2, 1, 6, 2, 2, 10, 1, 6, 10, 2, 1, 1, 1, 6, 10, 6, 2, 2, 1, 2, 10, 1, 2, 1, 10, 10, 10, 6, 10, 1, 1, 2, 6, 2, 2, 6, 10, 6, 10, 6, 6, 10, 1, 2, 1, 6, 6, 1, 2, 2, 5, 2, 1, 6, 6, 6, 0, 2, 6, 1, 6, 1, 10, 10, 1, 2, 6, 1, 10, 1, 6, 2, 10, 10, 9, 10, 1, 6, 6, 10, 10, 2, 1, 1, 2, 2, 6, 2, 1, 6, 10, 6, 10, 2, 6, 6, 1, 6, 10, 6, 1, 10, 1, 1, 6, 1, 2, 1, 4, 10, 6, 10, 6, 2, 6, 1, 6, 6, 10, 10, 10, 1, 2, 1, 1, 2, 1, 1, 1, 10, 1, 1, 6, 2, 1, 6, 6, 6, 6, 6, 10, 6, 10, 2, 1, 10, 6, 10, 6, 10, 2, 2, 6, 2, 2, 10, 1, 10, 2, 2, 10, 5, 1, 6, 9, 6, 2, 6, 6, 10, 1, 2, 10, 1, 2, 1, 1, 2, 1, 10, 10, 10, 10, 2, 10, 2, 1, 2, 2, 6, 1, 2, 1, 1, 6, 10, 1, 1, 1, 2, 6, 1, 6, 6, 2, 2, 10, 6, 10, 10, 6, 1, 10, 1, 6, 1, 1, 1, 10, 10, 10, 10, 6, 6, 10, 10, 6, 2, 10, 1, 5, 6, 1, 6, 1, 10, 10, 6, 1, 1, 2, 2, 10, 6, 10, 6, 6, 1, 2, 10, 6, 10, 1, 6, 2, 2, 2, 1, 2, 6, 1, 1, 1, 1, 2, 1, 6, 10, 6, 6, 2, 2, 2, 9, 2, 10, 6, 2, 4, 5, 2, 1, 2, 10, 1, 10, 10, 6, 6, 10, 1, 2, 5, 6, 2, 10, 10, 10, 10, 1, 10, 1, 6, 2, 1, 2, 6, 9, 2, 6, 1, 10, 2, 2, 6, 10, 10, 1, 10, 2, 6, 1, 6, 1, 6, 10, 10, 5, 10, 2, 1, 10, 2, 10, 1, 10, 6, 1, 1, 10, 2, 1, 6, 2, 2, 6, 1, 2, 6, 2, 6, 2, 6, 6, 10, 6, 10, 10, 2, 2, 6, 2, 2, 6, 10, 2, 2, 10, 10, 6, 10, 1, 1, 6, 10, 1, 6, 6, 1, 6, 1, 6, 1, 10, 2, 6, 10, 6, 1, 2, 2, 6, 2, 6, 1, 10, 10, 6, 6, 2, 1, 2, 1, 10, 1, 1, 2, 6, 6, 2, 2, 2, 10, 1, 1, 10, 2, 6, 1, 10, 10, 6, 6, 1, 10, 2, 10, 6, 2, 1, 6, 1, 10, 6, 6, 1, 10, 6, 10, 10, 1, 6, 10, 2, 2, 1, 10, 2, 6, 10, 10, 10, 6, 2, 1, 6, 1, 2, 6, 1, 1, 2, 1, 6, 1, 6, 2, 1, 2, 1, 2, 4, 6, 2, 10, 6, 5, 6, 1, 2, 2, 2, 1, 10, 1, 10, 2, 6, 2, 6, 2, 10, 6, 9, 1, 2, 10, 10, 6, 10, 1, 5, 1, 10, 10, 6, 2, 2, 10, 1, 6, 10, 6, 10, 10, 2, 1, 6, 2, 6, 2, 2, 10, 1, 1, 10, 1, 1, 10, 1, 10, 6, 1, 2, 1, 2, 10, 10, 6, 6, 1, 1, 1, 10, 6, 2, 6, 10, 6, 60, 4, 4, 2, 10, 1, 6, 6, 10, 6, 10, 2, 2, 2, 6, 10, 1, 1, 10, 1, 4, 6, 1, 1, 2, 6, 10, 10, 2, 1, 10, 1, 2, 10, 1, 1, 6, 2, 1, 1, 6, 2, 10, 6, 2, 6, 10, 2, 1, 1, 10, 1, 6, 1, 1, 6, 2, 10, 1, 2, 2, 6, 1, 6, 2, 1, 6, 0, 6, 1, 6, 6, 6, 1, 1, 9, 1, 0, 1, 2, 2, 10, 1, 2, 10, 1, 2, 6, 1, 10, 10, 10, 10, 10, 10, 6, 2, 10, 6, 2, 1, 1, 4, 2, 6, 1, 10, 6, 2, 6, 10, 2, 2, 2, 6, 6, 2, 1, 10, 6, 4, 10, 1, 6, 1, 6, 6, 6, 1, 9, 2, 6, 2, 1, 2, 2, 10, 10, 2, 1, 10, 10, 6, 10, 1, 6, 6, 6, 1, 1, 10, 2, 10, 6, 2, 6, 1, 1, 1, 4, 10, 6, 10, 6, 10, 6, 6, 2, 2, 10, 0, 6, 10, 1, 10, 10, 2, 2, 10, 1, 6, 1, 2, 2, 6, 6, 6, 6, 1, 1, 10, 6, 2, 10, 6, 1, 2, 6, 10, 10, 10, 9, 10, 6, 6, 2, 1, 1, 10, 6, 10, 10, 1, 1, 10, 1, 10, 2, 2, 10, 2, 6, 6, 2, 1, 6, 1, 0, 1, 2, 6, 6, 6, 1, 1, 2, 6, 6, 60, 1, 2, 10, 10, 10, 1, 1, 2, 1, 6, 1, 6, 6, 6, 2, 1, 2, 2, 6, 1, 6, 10, 6, 6, 2, 10, 6, 10, 1, 6, 10, 6, 6, 10, 1, 6, 1, 10, 1, 6, 1, 10, 10, 2, 1, 2, 2, 10, 6, 10, 2, 1, 1, 1, 6, 1, 6, 10, 10, 1, 1, 2, 1, 9, 10, 10, 1, 10, 4, 4, 1, 10, 10, 2, 2, 1, 2, 9, 6, 2, 10, 2, 1, 2, 2, 10, 10, 2, 10, 1, 1, 2, 10, 1, 10, 9, 9, 1, 10, 10, 4, 6, 1, 6, 2, 6, 1, 5, 10, 10, 4, 2, 10, 1, 2, 10, 1, 2, 10, 2, 2, 10, 10, 10, 2, 6, 10, 10, 10, 1, 10, 6, 1, 2, 1, 10, 10, 2, 1, 1, 2, 1, 6, 10, 10, 2, 6, 10, 1, 2, 10, 6, 10, 2, 6, 6, 10, 1, 1, 6, 2, 1, 1, 2, 2, 2, 2, 10, 6, 6, 10, 2, 1, 6, 1, 6, 2, 1, 1, 2, 2, 6, 10, 6, 2, 6, 1, 1, 2, 2, 1, 10, 6, 2, 1, 1, 10, 2, 9, 6, 1, 10, 2, 6, 10, 10, 2, 10, 1, 10, 2, 6, 2, 10, 2, 10, 2, 1, 2, 10, 6, 1, 1, 10, 1, 2, 2, 0, 1, 5, 4, 1, 10, 1, 2, 2, 6, 10, 2, 2, 10, 10, 1, 4, 1, 10, 2, 10, 6, 1, 1, 1, 1, 1, 10, 1, 1, 10, 6, 1, 1, 10, 1, 10, 6, 2, 1, 2, 2, 1, 2, 10, 1, 1, 6, 6, 6, 6, 1, 2, 1, 10, 10, 10, 2, 6, 1, 10, 1, 1, 1, 1, 6, 10, 1, 2, 6, 1, 10, 6, 1, 1, 1, 6, 2, 1, 6, 6, 6, 2, 6, 1, 10, 2, 10, 10, 6, 1, 10, 6, 1, 0, 6, 10, 1, 6, 10, 6, 6, 1, 6, 10, 6, 1, 2, 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10, 1, 6, 6, 10, 6, 2, 2, 6, 2, 10, 10, 10, 1, 6, 1, 2, 6, 6, 2, 1, 10, 1, 2, 6, 2, 1, 6, 2, 10, 2, 10, 10, 2, 2, 6, 1, 6, 1, 2, 5, 2, 2, 2, 1, 2, 10, 10, 10, 6, 10, 10, 1, 6, 9, 10, 10, 1, 2, 2, 1, 1, 2, 1, 10, 1, 10, 6, 2, 2, 6, 2, 6, 10, 0, 6, 1, 2, 10, 1, 1, 6, 6, 1, 1, 10, 2, 10, 2, 6, 2, 9, 1, 1, 1, 2, 1, 6, 10, 6, 2, 10, 10, 2, 1, 10, 2, 6, 2, 1, 10, 1, 6, 1, 2, 10, 1, 1, 1, 1, 2, 6, 6, 2, 6, 10, 6, 1, 2, 2, 2, 2, 6, 6, 6, 10, 2, 6, 10, 10, 6, 6, 5, 10, 6, 6, 6, 2, 10, 10, 10, 10, 1, 2, 1, 10, 10, 10, 6, 1, 10, 1, 2, 9, 10, 10, 2, 1, 1, 2, 2, 1, 4, 6, 2, 2, 2, 1, 10, 2, 2, 6, 10, 4, 10, 1, 10, 1, 2, 1, 2, 1, 6, 6, 2, 2, 10, 6, 2, 2, 10, 10, 1, 1, 10, 2, 1, 10, 10, 6, 1, 2, 10, 1, 6, 6, 10, 10, 2, 1, 6, 2, 1, 2, 10, 1, 2, 10, 10, 1, 1, 6, 10, 1, 2, 2, 10, 6, 2, 6, 1, 6, 1, 1, 0, 2, 10, 2, 10, 6, 6, 2, 2, 10, 6, 0, 2, 10, 1, 6, 1, 10, 6, 2, 1, 1, 1, 6, 10, 2, 1, 10, 9, 10, 40, 2, 2, 6, 6, 2, 1, 5, 10, 1, 2, 10, 10, 1, 1, 10, 10, 10, 10, 6, 10, 2, 10, 6, 2, 2, 10, 2, 10, 2, 6, 2, 1, 2, 10, 10, 10, 10, 6, 1, 1, 10, 10, 6, 6, 6, 6, 1, 1, 6, 10, 10, 10, 1, 2, 10, 10, 6, 6, 10, 1, 10, 2, 1, 1, 2, 1, 10, 10, 1, 6, 10, 10, 2, 6, 4, 10, 10, 2, 6, 2, 10, 10, 6, 2, 1, 2, 6, 2, 1, 6, 10, 1, 10, 6, 1, 6, 10, 2, 2, 10, 2, 2, 10, 10, 6, 30, 1, 1, 6, 10, 6, 10, 1, 1, 10, 2, 2, 1, 10, 2, 2, 1, 6, 6, 6, 2, 10, 6, 1, 6, 1, 2, 6, 10, 2, 1, 1, 10, 1, 6, 6, 6, 10, 10, 6, 2, 1, 2, 2, 6, 6, 2, 6, 1, 1, 1, 6, 6, 10, 6, 2, 10, 10, 6, 10, 6, 1, 2, 10, 10, 2, 1, 10, 10, 10, 1, 10, 6, 10, 6, 10, 10, 6, 2, 2, 1, 10, 0, 1, 6, 6, 2, 6, 10, 10, 2, 10, 40, 2, 2, 1, 6, 10, 2, 2, 10, 10, 2, 6, 1, 6, 6, 1, 6, 10, 1, 2, 6, 10, 10, 6, 6, 2, 6, 1, 2, 6, 1, 1, 10, 6, 6, 10, 9, 1, 10, 6, 2, 6, 10, 6, 6, 6, 2, 6, 2, 4, 1, 2, 1, 1, 1, 6, 10, 1, 10, 10, 2, 1, 2, 10, 6, 1, 2, 2, 1, 10, 1, 6, 1, 6, 2, 2, 9, 6, 10, 6, 2, 6, 6, 6, 1, 1, 1, 10, 1, 4, 10, 6, 2, 10, 2, 10, 6, 2, 6, 2, 6, 2, 1, 1, 6, 1, 2, 1, 10, 6, 2, 1, 10, 10, 1, 2, 6, 1, 2, 10, 10, 6, 6, 6, 1, 2, 1, 6, 6, 10, 2, 1, 10, 1, 6, 1, 1, 10, 1, 10, 1, 1, 2, 1, 1, 6, 6, 10, 6, 2, 1, 6, 1, 2, 10, 6, 10, 6, 10, 6, 6, 6, 1, 1, 2, 6, 1, 6, 2, 2, 6, 6, 10, 10, 1, 6, 6, 6, 10, 2, 6, 6, 6, 10, 2, 10, 6, 10, 1, 2, 10, 1, 10, 10, 10, 6, 10, 1, 1, 6, 6, 1, 1, 6, 1, 10, 2, 10, 7, 6, 2, 6, 2, 2, 6, 10, 6, 10, 6, 2, 10, 1, 1, 6, 10, 2, 2, 6, 6, 1, 6, 0, 1, 2, 10, 6, 10, 2, 2, 2, 10, 1, 1, 6, 10, 6, 6, 1, 6, 10, 1, 10, 1, 2, 6, 1, 2, 2, 2, 2, 1, 10, 2, 1, 6, 10, 1, 6, 10, 2, 6, 1, 2, 1, 9, 2, 2, 10, 6, 1, 10, 6, 1, 10, 6, 6, 10, 10, 1, 2, 1, 10, 10, 2, 6, 10, 6, 2, 10, 2, 6, 1, 2, 6, 6, 1, 6, 10, 2, 6, 10, 2, 40, 1, 10, 2, 10, 2, 0, 1, 6, 2, 1, 2, 6, 1, 0, 6, 2, 1, 6, 10, 6, 10, 10, 1, 1, 2, 2, 2, 6, 10, 2, 1, 10, 10, 2, 6, 1, 6, 2, 2, 1, 10, 1, 1, 5, 10, 6, 6, 6, 1, 1, 1, 10, 1, 2, 6, 1, 6, 6, 0, 10, 1, 2, 6, 6, 1, 1, 6, 6, 6, 6, 6, 10, 1, 10, 2, 1, 10, 2, 10, 6, 1, 6, 1, 10, 10, 1, 2, 1, 2, 6, 10, 6, 6, 10, 10, 1, 2, 2, 2, 1, 6, 2, 2, 1, 10, 2, 2, 1, 2, 2, 1, 10, 10, 2, 10, 1, 10, 2, 10, 6, 2, 10, 2, 10, 1, 10, 2, 10, 2, 2, 1, 6, 1, 10, 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1, 10, 2, 1, 1, 1, 6, 10, 10, 1, 1, 6, 2, 6, 1, 2, 2, 10, 6, 2, 6, 1, 10, 1, 1, 1, 2, 2, 6, 6, 6, 9, 6, 10, 2, 1, 1, 2, 1, 0, 1, 6, 10, 2, 1, 6, 6, 2, 6, 6, 2, 2, 2, 2, 1, 2, 1, 6, 1, 6, 1, 6, 9, 10, 1, 1, 6, 6, 10, 2, 6, 1, 6, 10, 2, 1, 4, 2, 1, 2, 1, 1, 1, 6, 10, 6, 6, 2, 10, 1, 1, 1, 6, 2, 1, 10, 2, 1, 6, 1, 2, 1, 4, 0, 1, 6, 10, 2, 6, 6, 1, 1, 10, 1, 6, 2, 1, 10, 1, 6, 2, 10, 1, 1, 6, 2, 10, 6, 1, 6, 2, 6, 10, 10, 1, 6, 10, 6, 1, 6, 6, 2, 10, 6, 10, 2, 1, 2, 10, 6, 0, 10, 1, 2, 1, 10, 1, 10, 1, 0, 0, 2, 2, 10, 1, 10, 2, 6, 6, 10, 0, 1, 10, 10, 1, 1, 10, 6, 6, 1, 6, 9, 1, 10, 1, 10, 10, 2, 1, 2, 6, 6, 6, 1, 2, 2, 2, 2, 10, 6, 1, 1, 1, 6, 10, 2, 1, 1, 10, 2, 6, 6, 2, 1, 6, 1, 6, 1, 10, 2, 10, 2, 6, 2, 1, 10, 2, 2, 2, 6, 6, 6, 6, 2, 1, 1, 6, 10, 1, 1, 1, 6, 6, 1, 6, 10, 10, 6, 6, 2, 6, 2, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 10, 10, 10, 10, 10, 6, 2, 6, 6, 6, 1, 1, 10, 2, 1, 10, 1, 1, 6, 10, 1, 2, 6, 10, 1, 2, 1, 2, 6, 6, 2, 2, 1, 9, 10, 2, 2, 10, 6, 1, 6, 10, 1, 1, 6, 1, 6, 1, 6, 1, 6, 10, 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10, 2, 1, 1, 6, 1, 1, 1, 6, 2, 2, 1, 6, 10, 1, 10, 10, 6, 2, 1, 10, 1, 2, 1, 2, 2, 2, 1, 10, 6, 10, 6, 1, 10, 10, 1, 1, 2, 2, 2, 10, 1, 1, 1, 1, 1, 6, 6, 10, 10, 1, 10, 4, 2, 10, 6, 6, 1, 6, 1, 2, 1, 1, 6, 6, 1, 2, 4, 1, 10, 6, 10, 2, 6, 1, 5, 1, 10, 6, 2, 2, 6, 10, 1, 6, 1, 1, 6, 2, 7, 6, 1, 2, 10, 10, 2, 10, 2, 0, 10, 2, 10, 9, 6, 2, 2, 6, 10, 0, 2, 10, 10, 2, 10, 1, 5, 2, 2, 1, 2, 10, 2, 6, 2, 10, 1, 6, 6, 1, 2, 2, 10, 1, 10, 10, 10, 1, 10, 10, 1, 10, 2, 1, 1, 6, 2, 6, 10, 6, 10, 6, 10, 1, 2, 1, 2, 6, 1, 0, 1, 10, 6, 1, 10, 2, 1, 2, 6, 6, 6, 1, 6, 10, 1, 1, 10, 10, 10, 1, 6, 6, 10, 6, 2, 10, 1, 1, 10, 1, 6, 2, 2, 6, 9, 2, 6, 2, 2, 1, 10, 1, 10, 1, 1, 2, 10, 2, 6, 2, 1, 10, 6, 2, 10, 10, 10, 1, 10, 10, 2, 1, 10, 10, 10, 6, 1, 2, 10, 10, 2, 2, 2, 1, 10, 6, 1, 6, 2, 10, 10, 6, 10, 2, 10, 1, 6, 2, 1, 10, 6, 6, 10, 1, 10, 1, 2, 6, 2, 6, 6, 1, 2, 1, 1, 0, 10, 1, 10, 2, 1, 10, 10, 10, 1, 2, 10, 6, 6, 1, 1, 1, 6, 6, 10, 1, 6, 6, 9, 10, 2, 2, 6, 1, 10, 10, 6, 10, 2, 1, 1, 10, 10, 10, 6, 2, 6, 1, 2, 10, 2, 1, 2, 6, 10, 6, 6, 10, 2, 2, 6, 6, 1, 10, 1, 2, 1, 6, 10, 1, 2, 1, 5, 6, 6, 1, 10, 10, 1, 2, 6, 1, 6, 1, 1, 6, 2, 2, 1, 1, 1, 2, 6, 6, 1, 1, 10, 1, 6, 2, 6, 2, 6, 6, 1, 10, 6, 2, 10, 0, 2, 1, 1, 10, 1, 6, 10, 10, 10, 2, 2, 2, 6, 1, 6, 1, 2, 10, 10, 2, 1, 1, 10, 10, 6, 2, 1, 1, 2, 1, 2, 2, 1, 6, 6, 6, 2, 2, 10, 6, 2, 1, 2, 2, 6, 10, 6, 10, 6, 2, 1, 6, 1, 6, 1, 10, 10, 10, 6, 6, 6, 4, 1, 1, 10, 1, 1, 10, 2, 1, 2, 10, 10, 6, 2, 1, 6, 10, 1, 6, 10, 1, 2, 1, 10, 6, 10, 10, 6, 6, 10, 10, 1, 2, 0, 2, 1, 6, 2, 10, 1, 2, 10, 3, 1, 6, 2, 10, 6, 6, 2, 2, 2, 10, 6, 6, 6, 2, 6, 1, 10, 10, 10, 10, 2, 2, 2, 1, 6, 1, 10, 6, 1, 1, 6, 2, 1, 10, 2, 1, 2, 1, 10, 10, 2, 6, 6, 10, 2, 6, 2, 6, 10, 1, 10, 10, 2, 6, 2, 2, 2, 10, 1, 1, 1, 10, 2, 1, 2, 2, 2, 6, 6, 6, 6, 2, 8, 9, 10, 5, 10, 6, 10, 6, 10, 6, 9, 2, 1, 5, 10, 6, 6, 2, 6, 10, 0, 6, 6, 10, 2, 6, 2, 10, 2, 1, 2, 6, 1, 1, 2, 2, 6, 6, 1, 10, 10, 1, 2, 1, 2, 1, 10, 2, 2, 1, 1, 2, 1, 1, 10, 1, 1, 10, 6, 6, 6, 1, 6, 2, 2, 10, 1, 6, 1, 6, 6, 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10, 10, 10, 1, 6, 2, 6, 2, 10, 10, 10, 6, 6, 10, 6, 1, 6, 1, 1, 10, 10, 1, 10, 6, 10, 6, 2, 6, 10, 2, 2, 1, 6, 10, 10, 10, 2, 0, 10, 10, 1, 10, 9, 1, 6, 2, 1, 6, 1, 6, 6, 1, 1, 1, 10, 6, 2, 1, 2, 6, 1, 6, 2, 10, 1, 1, 1, 2, 6, 10, 10, 10, 10, 2, 0, 10, 6, 2, 1, 9, 6, 6, 6, 6, 1, 1, 2, 1, 2, 2, 10, 6, 2, 1, 10, 6, 10, 2, 10, 2, 9, 10, 10, 2, 6, 4, 2, 10, 10, 1, 2, 6, 2, 1, 1, 10, 2, 2, 1, 2, 1, 2, 1, 6, 6, 6, 1, 2, 2, 1, 1, 2, 6, 2, 6, 6, 1, 6, 6, 6, 6, 6, 2, 6, 1, 2, 6, 1, 6, 2, 10, 2, 1, 1, 6, 1, 6, 10, 1, 6, 4, 2, 6, 1, 6, 1, 6, 10, 10, 1, 1, 2, 9, 1, 2, 1, 2, 2, 6, 6, 1, 2, 1, 1, 2, 2, 1, 10, 10, 6, 2, 6, 1, 10, 1, 4, 10, 6, 2, 6, 10, 5, 10, 2, 10, 1, 2, 2, 2, 6, 2, 2, 2, 2, 10, 6, 6, 10, 2, 2, 2, 6, 2, 2, 2, 10, 6, 10, 10, 6, 2, 2, 4, 1, 6, 6, 2, 6, 6, 1, 1, 1, 6, 4, 1, 6, 1, 6, 2, 1, 1, 6, 1, 1, 2, 10, 10, 4, 5, 10, 10, 1, 10, 2, 0, 10, 10, 10, 6, 10, 1, 1, 1, 2, 6, 2, 10, 6, 2, 6, 6, 10, 1, 2, 10, 2, 1, 2, 6, 1, 4, 10, 2, 1, 2, 1, 2, 2, 10, 1, 2, 10, 10, 6, 2, 1, 2, 6, 1, 2, 10, 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1, 6, 6, 10, 6, 10, 1, 2, 6, 10, 1, 1, 10, 10, 6, 1, 1, 10, 1, 1, 10, 6, 10, 10, 1, 10, 10, 2, 6, 10, 2, 1, 2, 6, 10, 10, 1, 10, 1, 2, 2, 1, 2, 1, 6, 2, 2, 1, 2, 1, 10, 10, 10, 10, 1, 2, 5, 1, 1, 2, 10, 1, 2, 1, 1, 10, 1, 6, 1, 1, 6, 6, 2, 10, 1, 4, 1, 1, 2, 1, 1, 10, 6, 2, 6, 1, 6, 6, 6, 1, 1, 1, 1, 10, 1, 10, 6, 6, 10, 6, 10, 1, 1, 1, 10, 10, 6, 1, 6, 6, 10, 9, 10, 10, 2, 1, 1, 10, 1, 6, 10, 6, 10, 6, 10, 1, 2, 10, 1, 10, 6, 6, 10, 10, 10, 10, 10, 6, 2, 1, 1, 10, 10, 6, 2, 1, 6, 1, 6, 1, 2, 6, 1, 6, 9, 2, 1, 1, 2, 6, 1, 1, 10, 6, 10, 1, 6, 10, 6, 10, 1, 6, 10, 10, 1, 10, 1, 2, 1, 2, 10, 6, 6, 1, 2, 10, 10, 2, 2, 1, 9, 2, 10, 10, 2, 2, 6, 10, 10, 10, 2, 6, 2, 1, 2, 2, 1, 6, 10, 2, 10, 6, 1, 2, 6, 10, 1, 1, 2, 10, 6, 2, 6, 2, 10, 2, 6, 2, 2, 2, 10, 10, 2, 6, 2, 1, 10, 9, 1, 2, 10, 10, 1, 1, 1, 1, 10, 1, 6, 6, 1, 10, 1, 6, 6, 6, 1, 1, 2, 2, 1, 2, 10, 1, 10, 1, 1, 1, 2, 6, 1, 6, 6, 1, 2, 6, 10, 6, 10, 1, 1, 6, 6, 1, 6, 10, 6, 2, 2, 1, 6, 1, 6, 1, 1, 2, 2, 1, 10, 10, 10, 6, 10, 2, 1, 1, 6, 1, 10, 10, 1, 2, 2, 10, 1, 2, 2, 1, 2, 10, 2, 2, 10, 2, 6, 1, 10, 1, 1, 6, 10, 10, 10, 10, 2, 2, 6, 1, 5, 6, 10, 10, 2, 1, 2, 10, 1, 2, 2, 2, 1, 2, 10, 2, 10, 2, 1, 1, 6, 6, 1, 5, 2, 2, 1, 2, 1, 1, 5, 10, 2, 2, 1, 1, 6, 10, 1, 2, 2, 6, 10, 2, 1, 2, 2, 10, 1, 6, 10, 2, 1, 1, 10, 1, 6, 6, 10, 6, 1, 1, 6, 2, 1, 10, 2, 10, 10, 6, 2, 1, 6, 1, 1, 2, 2, 10, 1, 6, 1, 2, 10, 2, 1, 4, 1, 1, 6, 2, 2, 10, 6, 1, 1, 9, 2, 10, 6, 1, 6, 6, 2, 1, 10, 6, 6, 10, 2, 0, 6, 6, 1, 6, 10, 2, 10, 2, 2, 1, 2, 6, 10, 10, 6, 10, 10, 6, 2, 1, 10, 6, 6, 1, 2, 1, 2, 6, 9, 10, 10, 1, 6, 1, 6, 10, 1, 4, 2, 1, 2, 1, 2, 6, 2, 1, 2, 10, 6, 2, 2, 10, 6, 6, 1, 1, 1, 1, 10, 1, 6, 10, 10, 10, 1, 1, 1, 10, 2, 10, 4, 2, 2, 10, 10, 1, 0, 10, 6, 6, 1, 9, 2, 6, 1, 10, 6, 6, 2, 2, 1, 10, 1, 6, 2, 10, 10, 10, 2, 1, 10, 1, 1, 10, 6, 10, 5, 1, 6, 2, 6, 6, 2, 6, 2, 6, 10, 2, 10, 1, 1, 1, 10, 10, 10, 2, 10, 6, 1, 1, 6, 1, 1, 10, 1, 1, 10, 6, 1, 10, 1, 2, 2, 5, 10, 2, 10, 10, 2, 1, 1, 2, 1, 2, 9, 10, 6, 6, 10, 2, 5, 1, 2, 10, 1, 6, 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1, 2, 10, 6, 4, 2, 6, 10, 10, 2, 6, 6, 1, 6, 2, 6, 6, 10, 2, 2, 2, 10, 10, 1, 1, 1, 2, 6, 2, 10, 6, 1, 5, 2, 1, 1, 6, 2, 1, 10, 2, 10, 1, 1, 2, 10, 1, 10, 10, 1, 6, 10, 10, 6, 2, 1, 1, 2, 2, 1, 1, 6, 6, 1, 2, 10, 6, 5, 2, 10, 6, 6, 1, 10, 10, 4, 2, 6, 10, 1, 2, 10, 6, 6, 2, 1, 2, 6, 2, 10, 6, 6, 2, 1, 10, 1, 10, 1, 6, 1, 6, 2, 1, 1, 1, 10, 2, 10, 6, 1, 10, 1, 6, 6, 2, 1, 1, 2, 2, 2, 1, 6, 2, 10, 6, 10, 1, 0, 10, 2, 6, 10, 1, 4, 1, 1, 2, 1, 2, 2, 10, 6, 10, 2, 10, 1, 6, 2, 2, 2, 2, 10, 10, 6, 10, 1, 6, 1, 6, 10, 2, 6, 6, 2, 2, 6, 6, 10, 6, 6, 6, 2, 1, 2, 6, 1, 2, 2, 6, 10, 2, 6, 6, 1, 2, 2, 6, 6, 6, 10, 2, 2, 1, 6, 1, 2, 1, 6, 1, 4, 10, 6, 2, 1, 1, 10, 6, 40, 6, 10, 10, 10, 10, 10, 2, 6, 1, 2, 2, 10, 1, 10, 10, 6, 1, 1, 1, 2, 2, 2, 1, 6, 1, 2, 6, 1, 2, 2, 1, 10, 2, 6, 1, 1, 1, 2, 10, 10, 10, 10, 6, 2, 1, 2, 6, 1, 10, 2, 2, 1, 2, 6, 6, 6, 1, 2, 10, 1, 6, 10, 2, 6, 1, 6, 2, 2, 6, 1, 2, 1, 1, 10, 6, 1, 6, 10, 1, 1, 2, 1, 2, 6, 6, 10, 1, 2, 6, 10, 10, 10, 2, 10, 2, 10, 1, 10, 10, 10, 5, 10, 6, 0, 1, 1, 2, 1, 6, 2, 10, 10, 10, 1, 6, 10, 2, 2, 1, 10, 2, 1, 10, 0, 2, 2, 1, 6, 1, 6, 2, 6, 2, 10, 10, 10, 6, 1, 2, 1, 10, 2, 6, 1, 2, 9, 10, 10, 6, 4, 10, 2, 6, 2, 10, 1, 2, 10, 1, 2, 10, 10, 2, 1, 1, 1, 6, 1, 2, 9, 2, 2, 6, 2, 6, 1, 1, 10, 2, 6, 6, 2, 1, 2, 10, 6, 10, 6, 10, 6, 1, 1, 1, 1, 1, 1, 10, 6, 1, 1, 1, 1, 2, 6, 10, 1, 6, 10, 2, 2, 2, 1, 1, 1, 6, 6, 10, 2, 1, 1, 10, 1, 10, 2, 2, 6, 10, 2, 2, 10, 1, 10, 1, 2, 2, 1, 6, 4, 10, 4, 2, 4, 10, 2, 1, 10, 6, 0, 10, 10, 2, 10, 2, 1, 10, 1, 1, 2, 2, 10, 1, 10, 2, 2, 2, 2, 1, 2, 10, 2, 10, 1, 2, 10, 6, 2, 10, 6, 1, 2, 10, 1, 2, 1, 2, 10, 1, 10, 10, 6, 1, 1, 6, 1, 10, 1, 2, 1, 10, 10, 2, 2, 10, 10, 6, 10, 1, 6, 10, 1, 10, 10, 2, 10, 6, 10, 6, 10, 10, 6, 1, 2, 1, 10, 10, 1, 6, 10, 1, 1, 1, 6, 6, 6, 6, 10, 6, 10, 1, 1, 1, 2, 10, 2, 6, 1, 6, 6, 10, 2, 0, 10, 2, 1, 6, 9, 2, 6, 2, 2, 2, 1, 1, 6, 2, 6, 10, 10, 10, 1, 6, 10, 6, 6, 10, 10, 1, 10, 1, 1, 6, 2, 6, 10, 6, 10, 2, 1, 10, 2, 6, 6, 6, 2, 2, 4, 10, 2, 2, 6, 10, 2, 1, 10, 10, 6, 10, 2, 6, 6, 6, 2, 10, 10, 6, 2, 6, 10, 2, 10, 5, 6, 0, 10, 10, 1, 2, 6, 2, 10, 1, 10, 2, 2, 1, 1, 1, 6, 2, 1, 10, 1, 10, 2, 10, 6, 2, 1, 2, 1, 10, 1, 10, 10, 1, 1, 6, 1, 1, 1, 1, 1, 2, 2, 6, 6, 2, 2, 2, 1, 9, 4, 2, 6, 1, 6, 6, 6, 1, 2, 1, 6, 6, 1, 2, 1, 1, 2, 1, 6, 2, 2, 1, 2, 6, 6, 10, 6, 6, 1, 1, 2, 10, 1, 1, 10, 10, 10, 9, 10, 2, 2, 6, 1, 6, 10, 2, 1, 1, 10, 6, 1, 2, 1, 2, 10, 1, 9, 9, 6, 2, 6, 2, 1, 1, 6, 1, 6, 10, 10, 1, 6, 10, 10, 1, 6, 10, 1, 6, 6, 1, 6, 10, 2, 1, 2, 10, 1, 6, 6, 10, 1, 10, 2, 10, 10, 2, 10, 6, 10, 2, 10, 2, 9, 6, 10, 2, 1, 2, 6, 6, 6, 6, 2, 10, 2, 2, 6, 10, 6, 1, 10, 2, 1, 1, 6, 1, 2, 6, 2, 10, 5, 2, 2, 6, 6, 9, 1, 2, 2, 2, 1, 2, 1, 1, 1, 6, 10, 10, 1, 10, 6, 1, 10, 6, 10, 2, 6, 2, 6, 1, 6, 6, 10, 10, 2, 2, 10, 10, 1, 10, 10, 1, 6, 1, 6, 1, 1, 6, 1, 6, 10, 10, 1, 2, 6, 6, 10, 1, 6, 1, 2, 10, 2, 10, 2, 2, 10, 1, 6, 1, 10, 2, 1, 1, 10, 1, 10, 1, 0, 6, 6, 6, 6, 2, 2, 6, 6, 2, 1, 2, 2, 6, 2, 6, 6, 10, 1, 6, 2, 2, 2, 2, 1, 10, 6, 6, 10, 0, 2, 2, 1, 1, 10, 6, 2, 2, 0, 2, 1, 1, 6, 10, 1, 10, 1, 1, 2, 6, 1, 6, 6, 6, 10, 1, 6, 6, 10, 6, 6, 10, 2, 1, 10, 6, 6, 2, 2, 10, 2, 2, 10, 6, 2, 1, 5, 6, 10, 10, 6, 1, 6, 6, 6, 1, 1, 1, 10, 6, 2, 1, 1, 1, 1, 10, 10, 2, 6, 6, 1, 10, 6, 1, 2, 0, 2, 5, 1, 6, 6, 1, 6, 0, 10, 1, 2, 10, 6, 0, 1, 6, 2, 6, 6, 2, 2, 6, 6, 1, 1, 2, 1, 1, 2, 10, 1, 6, 10, 2, 6, 2, 10, 2, 1, 10, 6, 10, 2, 1, 2, 2, 10, 10, 1, 1, 1, 6, 10, 6, 10, 1, 6, 6, 2, 1, 4, 1, 10, 10, 2, 6, 2, 6, 6, 10, 6, 2, 6, 2, 10, 1, 10, 10, 2, 10, 1, 2, 6, 6, 2, 2, 1, 6, 2, 2, 10, 10, 2, 6, 2, 1, 1, 10, 10, 1, 10, 2, 2, 6, 4, 2, 6, 2, 1, 6, 10, 2, 0, 2, 2, 0, 2, 1, 1, 9, 1, 2, 6, 10, 6, 6, 1, 6, 1, 2, 10, 2, 6, 6, 6, 10, 6, 2, 10, 10, 1, 1, 2, 1, 2, 10, 1, 2, 1, 1, 2, 1, 6, 1, 10, 2, 10, 6, 6, 2, 2, 10, 10, 6, 10, 2, 2, 1, 1, 1, 1, 2, 6, 10, 2, 2, 1, 1, 6, 10, 6, 6, 6, 1, 1, 2, 1, 4, 10, 10, 10, 6, 2, 10, 6, 10, 10, 2, 2, 2, 10, 6, 1, 10, 6, 10, 1, 1, 10, 6, 6, 10, 6, 6, 6, 1, 1, 6, 1, 6, 2, 1, 6, 6, 6, 6, 2, 6, 10, 6, 1, 1, 1, 2, 2, 6, 10, 10, 1, 10, 1, 1, 6, 2, 10, 10, 2, 6, 2, 2, 10, 1, 10, 2, 10, 6, 10, 6, 9, 2, 10, 2, 10, 2, 10, 10, 6, 10, 10, 10, 1, 1, 2, 10, 1, 6, 10, 1, 1, 2, 1, 2, 10, 1, 10, 10, 2, 6, 2, 6, 2, 2, 2, 6, 1, 10, 10, 10, 1, 1, 10, 10, 2, 1, 1, 1, 2, 2, 10, 1, 6, 10, 6, 6, 6, 6, 1, 10, 10, 10, 2, 6, 6, 6, 9, 2, 2, 1, 1, 10, 6, 1, 1, 6, 10, 2, 2, 6, 6, 1, 6, 2, 1, 1, 1, 1, 1, 2, 10, 10, 10, 1, 10, 1, 0, 0, 2, 6, 4, 1, 1, 10, 1, 10, 6, 1, 6, 2, 1, 0, 10, 10, 6, 1, 1, 10, 2, 1, 6, 1, 10, 6, 1, 10, 6, 2, 10, 6, 1, 1, 10, 2, 6, 1, 10, 10, 2, 10, 10, 1, 6, 0, 6, 1, 6, 1, 6, 2, 10, 10, 2, 0, 2, 10, 6, 10, 1, 10, 1, 6, 6, 10, 6, 1, 6, 2, 2, 6, 1, 2, 10, 6, 6, 2, 2, 2, 10, 1, 2, 10, 2, 10, 10, 6, 2, 4, 6, 1, 1, 10, 10, 2, 1, 2, 10, 10, 1, 10, 6, 1, 0, 6, 2, 1, 10, 1, 10, 2, 10, 1, 1, 10, 2, 1, 6, 2, 2, 6, 6, 6, 2, 1, 10, 1, 2, 2, 10, 10, 1, 1, 6, 6, 2, 1, 0, 1, 10, 1, 10, 2, 10, 1, 2, 6, 10, 6, 1, 1, 6, 10, 1, 2, 2, 6, 6, 10, 6, 2, 1, 1, 2, 10, 6, 6, 6, 2, 1, 10, 1, 2, 2, 2, 10, 2, 1, 10, 10, 1, 4, 6, 2, 1, 2, 1, 10, 1, 6, 2, 2, 2, 2, 2, 1, 10, 2, 6, 10, 1, 1, 10, 9, 1, 10, 1, 6, 1, 6, 2, 1, 2, 2, 6, 1, 1, 6, 2, 2, 6, 1, 5, 1, 2, 2, 2, 10, 1, 10, 9, 1, 1, 2, 10, 6, 6, 6, 6, 10, 6, 1, 10, 1, 1, 6, 2, 6, 2, 10, 2, 1, 6, 10, 10, 1, 6, 5, 10, 6, 10, 1, 6, 2, 6, 2, 6, 2, 6, 6, 2, 2, 6, 2, 2, 1, 1, 6, 10, 10, 2, 10, 6, 2, 10, 1, 2, 1, 10, 6, 1, 1, 2, 1, 9, 2, 2, 10, 6, 6, 0, 2, 6, 10, 10, 6, 2, 2, 10, 10, 6, 2, 6, 10, 2, 1, 2, 2, 1, 10, 6, 5, 1, 6, 2, 10, 10, 0, 6, 2, 10, 10, 1, 2, 10, 10, 2, 10, 6, 2, 6, 1, 2, 1, 6, 2, 10, 6, 1, 1, 6, 1, 10, 1, 1, 2, 6, 1, 10, 6, 2, 2, 6, 2, 6, 1, 2, 2, 6, 6, 1, 2, 10, 2, 2, 6, 10, 2, 6, 10, 2, 10, 6, 10, 1, 6, 2, 2, 6, 6, 5, 2, 10, 1, 4, 10, 6, 2, 6, 4, 2, 1, 1, 2, 10, 10, 2, 2, 6, 1, 10, 6, 2, 6, 6, 1, 6, 2, 2, 10, 2, 6, 1, 6, 6, 10, 6, 2, 10, 1, 2, 10, 6, 2, 2, 1, 2, 10, 2, 10, 2, 6, 5, 2, 10, 2, 6, 2, 1, 10, 2, 10, 6, 2, 10, 10, 1, 1, 10, 1, 6, 2, 6, 10, 2, 2, 2, 10, 1, 10, 2, 2, 6, 10, 4, 2, 10, 1, 6, 2, 6, 10, 6, 6, 2, 1, 6, 2, 6, 10, 1, 6, 2, 2, 10, 10, 10, 6, 2, 6, 9, 2, 10, 2, 2, 1, 10, 6, 10, 6, 2, 6, 10, 6, 10, 10, 10, 10, 10, 6, 10, 1, 6, 10, 10, 2, 1, 10, 6, 10, 10, 4, 1, 1, 6, 2, 1, 1, 10, 6, 2, 10, 1, 1, 6, 1, 2, 10, 6, 10, 10, 6, 6, 10, 10, 2, 1, 10, 1, 10, 1, 1, 2, 1, 2, 10, 6, 0, 6, 2, 10, 6, 6, 1, 6, 6, 10, 2, 6, 1, 2, 2, 10, 6, 6, 1, 2, 2, 2, 10, 10, 10, 50, 1, 2, 6, 10, 6, 6, 6, 10, 30, 6, 2, 1, 4, 10, 6, 2, 6, 10, 10, 1, 2, 2, 10, 10, 1, 6, 2, 6, 6, 1, 2, 1, 10, 6, 1, 2, 6, 1, 2, 6, 2, 10, 1, 6, 6, 2, 2, 10, 6, 1, 1, 6, 10, 6, 2, 2, 10, 6, 2, 10, 10, 1, 2, 10, 2, 6, 6, 1, 1, 10, 2, 6, 1, 6, 1, 6, 2, 1, 2, 6, 10, 5, 10, 2, 2, 2, 10, 6, 1, 6, 2, 2, 1, 10, 10, 6, 2, 6, 2, 10, 10, 10, 2, 10, 1, 6, 1, 6, 2, 10, 6, 1, 0, 1, 1, 1, 9, 1, 10, 10, 10, 6, 1, 6, 2, 6, 10, 1, 2, 10, 1, 2, 10, 6, 6, 6, 2, 6, 6, 1, 1, 1, 1, 6, 1, 1, 1, 6, 6, 1, 6, 6, 1, 6, 1, 2, 10, 1, 1, 10, 1, 6, 10, 10, 1, 10, 2, 2, 1, 10, 2, 2, 2, 2, 10, 10, 6, 6, 10, 6, 10, 2, 1, 6, 6, 6, 2, 10, 10, 1, 10, 1, 1, 6, 1, 2, 2, 1, 1, 6, 6, 6, 2, 1, 2, 2, 1, 2, 2, 2, 1, 6, 10, 10, 1, 2, 10, 1, 10, 2, 10, 1, 6, 1, 1, 10, 6, 1, 6, 0, 1, 6, 10, 10, 2, 1, 2, 1, 1, 1, 10, 2, 2, 2, 1, 1, 6, 1, 1, 1, 1, 1, 10, 1, 2, 1, 6, 10, 10, 2, 0, 2, 1, 2, 6, 6, 6, 2, 1, 1, 1, 6, 6, 10, 1, 10, 2, 2, 10, 10, 10, 4, 1, 1, 2, 2, 1, 6, 1, 6, 6, 10, 5, 10, 6, 1, 10, 10, 6, 2, 1, 2, 6, 6, 1, 1, 10, 6, 2, 6, 6, 2, 2, 2, 1, 6, 2, 1, 10, 2, 1, 2, 1, 2, 1, 6, 2, 6, 10, 10, 2, 2, 10, 10, 10, 2, 6, 2, 2, 1, 2, 2, 6, 9, 9, 1, 2, 6, 6, 1, 1, 1, 6, 6, 1, 6, 6, 6, 6, 10, 10, 1, 6, 2, 1, 2, 10, 10, 1, 2, 1, 6, 6, 10, 10, 2, 1, 6, 6, 1, 1, 10, 10, 1, 2, 2, 2, 2, 2, 10, 10, 1, 6, 1, 10, 6, 2, 10, 2, 2, 1, 1, 1, 2, 10, 10, 2, 1, 1, 10, 10, 1, 10, 2, 10, 6, 1, 10, 2, 6, 2, 0, 1, 6, 1, 2, 1, 9, 2, 1, 1, 6, 1, 2, 10, 6, 6, 6, 2, 1, 6, 1, 2, 1, 2, 2, 1, 10, 6, 6, 6, 10, 1, 1, 1, 2, 6, 6, 1, 2, 2, 2, 6, 4, 8, 1, 6, 2, 2, 1, 6, 6, 2, 1, 2, 2, 2, 1, 1, 2, 2, 10, 10, 2, 6, 2, 2, 1, 10, 6, 6, 2, 10, 6, 2, 2, 10, 2, 6, 6, 10, 2, 10, 10, 6, 0, 1, 10, 2, 2, 6, 2, 1, 10, 6, 10, 6, 10, 4, 6, 1, 6, 2, 1, 2, 2, 6, 10, 6, 10, 6, 6, 6, 10, 6, 6, 10, 2, 6, 6, 10, 2, 10, 2, 2, 2, 10, 1, 2, 1, 10, 6, 2, 1, 1, 1, 1, 2, 2, 10, 2, 10, 1, 6, 2, 1, 1, 1, 10, 1, 10, 10, 1, 1, 10, 1, 6, 1, 2, 6, 6, 10, 1, 2, 10, 1, 6, 10, 1, 2, 1, 2, 6, 6, 2, 10, 10, 2, 6, 10, 10, 10, 10, 6, 2, 2, 10, 10, 2, 1, 1, 2, 1, 2, 1, 10, 1, 2, 6, 1, 6, 2, 2, 9, 6, 6, 2, 2, 1, 2, 1, 2, 1, 6, 2, 4, 1, 2, 2, 10, 6, 2, 3, 10, 1, 1, 10, 1, 10, 2, 10, 6, 10, 2, 1, 1, 1, 10, 1, 2, 1, 6, 6, 10, 1, 6, 6, 10, 10, 1, 2, 10, 6, 10, 2, 2, 10, 6, 5, 10, 1, 6, 6, 2, 1, 8, 10, 5, 6, 10, 10, 1, 10, 10, 6, 1, 1, 6, 1, 10, 6, 1, 10, 6, 2, 1, 9, 10, 6, 2, 6, 6, 6, 1, 1, 2, 10, 10, 0, 1, 6, 1, 5, 10, 1, 1, 1, 10, 6, 10, 6, 6, 2, 2, 10, 10, 6, 1, 10, 6, 1, 1, 6, 2, 10, 1, 10, 6, 6, 6, 1, 9, 10, 2, 6, 6, 1, 1, 10, 1, 10, 1, 10, 1, 10, 6, 6, 6, 6, 1, 1, 10, 10, 2, 10, 2, 6, 6, 2, 6, 2, 10, 1, 10, 2, 6, 1, 6, 10, 10, 10, 10, 10, 1, 6, 1, 2, 2, 2, 6, 10, 1, 6, 6, 6, 2, 6, 2, 10, 1, 6, 2, 2, 1, 5, 6, 10, 2, 9, 2, 10, 10, 9, 1, 2, 1, 6, 1, 1, 10, 10, 2, 10, 10, 10, 2, 6, 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6, 1, 10, 2, 10, 6, 6, 6, 6, 10, 6, 2, 2, 10, 6, 6, 6, 1, 10, 2, 2, 1, 1, 6, 6, 10, 6, 10, 2, 10, 10, 1, 2, 10, 1, 1, 2, 10, 10, 10, 2, 10, 6, 2, 6, 6, 2, 1, 1, 1, 6, 2, 1, 1, 1, 6, 4, 6, 1, 1, 10, 2, 6, 6, 6, 1, 2, 1, 2, 6, 6, 10, 10, 2, 1, 1, 1, 6, 10, 6, 1, 0, 6, 1, 10, 5, 6, 6, 2, 1, 1, 1, 1, 1, 6, 2, 10, 1, 6, 6, 10, 10, 10, 1, 2, 1, 1, 10, 2, 10, 10, 10, 1, 10, 10, 6, 2, 1, 1, 1, 6, 2, 1, 6, 6, 10, 6, 2, 6, 1, 10, 6, 1, 6, 10, 10, 2, 9, 2, 10, 1, 5, 1, 2, 1, 5, 6, 2, 6, 2, 1, 1, 10, 1, 1, 2, 10, 1, 1, 6, 6, 6, 2, 1, 1, 6, 1, 10, 10, 1, 6, 9, 1, 1, 1, 2, 10, 6, 2, 2, 2, 2, 10, 1, 6, 2, 10, 2, 6, 6, 1, 1, 2, 10, 1, 1, 6, 6, 2, 1, 2, 6, 6, 10, 2, 2, 2, 6, 1, 1, 10, 10, 2, 6, 10, 2, 6, 1, 10, 1, 6, 10, 1, 5, 2, 10, 10, 1, 6, 10, 2, 1, 10, 1, 1, 2, 6, 6, 2, 1, 10, 6, 10, 1, 1, 6, 10, 1, 10, 1, 1, 1, 1, 10, 6, 10, 10, 6, 1, 6, 1, 10, 6, 10, 2, 1, 2, 10, 10, 6, 5, 10, 6, 10, 10, 2, 10, 6, 6, 10, 2, 10, 1, 6, 1, 1, 6, 6, 2, 2, 1, 6, 6, 2, 1, 1, 6, 50, 0, 1, 1, 2, 6, 1, 6, 10, 6, 1, 1, 1, 10, 10, 10, 2, 6, 10, 6, 10, 4, 6, 2, 9, 6, 10, 2, 2, 10, 6, 10, 1, 2, 10, 2, 10, 1, 1, 6, 1, 6, 2, 1, 10, 6, 2, 10, 10, 2, 1, 2, 6, 2, 2, 10, 6, 2, 1, 2, 2, 6, 6, 2, 1, 1, 10, 6, 10, 6, 2, 1, 6, 1, 1, 10, 10, 10, 2, 10, 10, 1, 2, 1, 6, 10, 10, 1, 1, 9, 2, 1, 6, 10, 5, 2, 1, 6, 2, 10, 6, 10, 10, 10, 2, 2, 2, 6, 2, 6, 6, 2, 2, 10, 6, 10, 2, 10, 10, 10, 2, 6, 0, 6, 2, 10, 2, 1, 6, 10, 1, 2, 2, 10, 2, 6, 1, 6, 6, 2, 2, 10, 6, 10, 2, 10, 2, 10, 10, 6, 1, 10, 2, 6, 1, 10, 10, 1, 6, 6, 2, 1, 6, 6, 10, 1, 6, 1, 2, 2, 10, 1, 6, 2, 2, 1, 10, 10, 6, 10, 6, 10, 2, 2, 6, 6, 6, 10, 10, 10, 6, 2, 10, 6, 1, 2, 10, 10, 10, 1, 10, 6, 10, 1, 1, 10, 1, 10, 10, 6, 10, 2, 6, 1, 6, 10, 1, 10, 2, 6, 2, 2, 2, 10, 10, 1, 10, 1, 9, 9, 10, 10, 1, 10, 1, 6, 6, 1, 2, 2, 10, 10, 1, 2, 2, 2, 2, 1, 10, 1, 10, 6, 2, 10, 2, 10, 10, 1, 2, 10, 6, 6, 1, 6, 6, 6, 1, 10, 9, 6, 6, 6, 6, 9, 10, 1, 2, 6, 6, 6, 10, 6, 1, 1, 10, 6, 10, 6, 6, 2, 1, 10, 1, 2, 6, 1, 2, 2, 2, 2, 2, 2, 10, 1, 10, 2, 6, 2, 10, 2, 2, 1, 6, 6, 1, 1, 0, 6, 2, 6, 1, 2, 10, 1, 1, 2, 6, 6, 60, 5, 1, 2, 2, 2, 6, 2, 6, 6, 2, 2, 6, 6, 10, 2, 1, 1, 2, 1, 6, 1, 2, 0, 6, 1, 6, 6, 6, 6, 1, 6, 6, 1, 2, 10, 0, 1, 10, 10, 10, 10, 10, 6, 10, 0, 2, 2, 10, 1, 2, 6, 1, 1, 10, 1, 2, 4, 6, 10, 10, 2, 10, 2, 10, 10, 6, 1, 2, 2, 2, 10, 1, 10, 6, 10, 10, 2, 10, 2, 9, 2, 10, 6, 2, 10, 2, 0, 6, 10, 1, 1, 10, 0, 10, 10, 6, 1, 2, 10, 1, 6, 1, 1, 2, 2, 2, 6, 6, 6, 2, 6, 10, 2, 10, 1, 10, 2, 2, 2, 1, 6, 9, 6, 1, 6, 2, 10, 2, 1, 2, 6, 1, 10, 1, 6, 1, 6, 2, 10, 2, 1, 1, 2, 1, 2, 10, 2, 2, 10, 6, 2, 4, 6, 10, 10, 1, 2, 6, 2, 1, 2, 10, 2, 2, 10, 6, 1, 6, 1, 2, 10, 10, 2, 2, 6, 6, 10, 2, 10, 2, 1, 6, 6, 10, 10, 2, 1, 1, 1, 10, 2, 10, 6, 10, 6, 10, 6, 1, 10, 1, 10, 6, 10, 10, 6, 2, 6, 1, 6, 1, 10, 1, 6, 1, 2, 2, 6, 2, 10, 10, 1, 6, 2, 10, 2, 6, 0, 6, 6, 2, 2, 1, 10, 6, 2, 1, 2, 2, 10, 6, 1, 6, 6, 2, 10, 2, 6, 10, 6, 2, 1, 1, 10, 2, 6, 6, 1, 1, 1, 1, 1, 6, 6, 10, 1, 6, 6, 2, 1, 6, 0, 10, 10, 10, 10, 6, 10, 1, 6, 1, 6, 2, 1, 1, 1, 1, 2, 10, 10, 10, 2, 10, 1, 1, 10, 1, 6, 1, 1, 2, 2, 1, 6, 1, 0, 2, 6, 10, 10, 2, 10, 2, 1, 10, 10, 2, 6, 10, 2, 6, 2, 10, 1, 1, 6, 1, 10, 9, 2, 6, 6, 10, 2, 1, 2, 6, 4, 2, 10, 2, 10, 1, 6, 6, 6, 6, 6, 10, 1, 6, 10, 2, 2, 2, 6, 6, 2, 10, 6, 1, 2, 2, 2, 6, 10, 10, 10, 2, 1, 2, 0, 10, 2, 2, 2, 8, 10, 10, 2, 2, 6, 6, 2, 2, 1, 2, 1, 6, 1, 2, 2, 6, 6, 10, 2, 6, 6, 10, 2, 6, 6, 6, 2, 2, 10, 6, 4, 6, 2, 10, 2, 0, 6, 6, 6, 6, 1, 2, 1, 1, 1, 6, 6, 10, 10, 9, 1, 10, 1, 1, 2, 1, 2, 10, 6, 1, 2, 1, 2, 2, 10, 6, 1, 6, 1, 10, 10, 10, 6, 10, 1, 10, 1, 10, 1, 1, 2, 10, 1, 6, 6, 2, 10, 10, 10, 2, 2, 10, 2, 6, 2, 10, 2, 6, 0, 10, 1, 6, 2, 10, 2, 2, 2, 10, 10, 10, 6, 9, 6, 2, 10, 1, 10, 10, 6, 1, 10, 1, 0, 10, 1, 10, 6, 2, 1, 1, 2, 2, 4, 6, 1, 10, 10, 10, 10, 1, 10, 1, 10, 9, 2, 1, 10, 2, 10, 2, 1, 10, 6, 1, 2, 6, 1, 2, 2, 2, 1, 6, 1, 6, 2, 2, 10, 2, 6, 10, 2, 1, 10, 1, 2, 2, 1, 6, 1, 6, 6, 10, 6, 10, 2, 2, 10, 2, 2, 10, 1, 10, 1, 10, 1, 6, 1, 6, 6, 2, 6, 2, 10, 6, 1, 2, 2, 2, 10, 10, 1, 10, 10, 6, 2, 10, 1, 2, 10, 10, 2, 6, 5, 2, 2, 10, 1, 6, 9, 6, 6, 6, 1, 2, 2, 10, 10, 6, 10, 6, 9, 4, 1, 6, 2, 10, 2, 6, 10, 2, 10, 1, 10, 2, 2, 10, 4, 2, 10, 2, 1, 2, 6, 6, 6, 10, 1, 2, 1, 9, 2, 1, 0, 4, 2, 1, 10, 1, 6, 2, 1, 6, 10, 10, 1, 2, 2, 1, 2, 10, 2, 1, 6, 10, 6, 1, 2, 1, 1, 6, 2, 1, 6, 1, 2, 1, 2, 6, 2, 2, 2, 2, 10, 10, 2, 6, 1, 10, 10, 1, 6, 1, 10, 1, 10, 2, 2, 1, 10, 2, 6, 1, 10, 10, 1, 1, 2, 10, 2, 1, 6, 6, 2, 1, 6, 2, 1, 10, 1, 10, 6, 10, 6, 10, 2, 6, 10, 1, 1, 1, 1, 6, 2, 6, 1, 10, 2, 10, 10, 10, 6, 2, 6, 1, 2, 5, 8, 1, 10, 1, 2, 10, 10, 10, 1, 1, 2, 1, 10, 1, 2, 6, 2, 1, 6, 1, 10, 10, 50, 6, 2, 6, 2, 1, 6, 2, 6, 10, 10, 10, 6, 1, 1, 2, 2, 2, 2, 10, 10, 6, 2, 2, 2, 6, 1, 10, 10, 10, 2, 2, 1, 2, 2, 1, 10, 2, 1, 1, 2, 10, 10, 6, 2, 2, 6, 6, 1, 10, 2, 2, 1, 6, 1, 2, 9, 6, 6, 1, 10, 6, 60, 10, 1, 6, 2, 10, 6, 10, 2, 2, 1, 2, 2, 10, 10, 6, 2, 2, 10, 10, 1, 2, 10, 10, 1, 1, 1, 2, 10, 6, 10, 2, 2, 2, 2, 2, 6, 10, 2, 6, 6, 6, 1, 6, 2, 10, 6, 2, 10, 6, 10, 10, 1, 1, 10, 2, 6, 10, 1, 10, 2, 10, 2, 10, 1, 1, 2, 1, 2, 10, 1, 1, 0, 6, 2, 2, 6, 1, 6, 10, 2, 2, 1, 10, 10, 2, 6, 2, 2, 9, 0, 2, 1, 2, 10, 10, 1, 10, 1, 2, 2, 2, 2, 10, 2, 2, 1, 6, 2, 1, 6, 6, 2, 10, 6, 1, 2, 6, 1, 2, 10, 10, 6, 6, 6, 2, 6, 1, 6, 6, 6, 2, 2, 6, 1, 10, 6, 2, 10, 1, 2, 2, 10, 1, 2, 1, 6, 10, 6, 9, 1, 2, 1, 1, 1, 10, 6, 1, 2, 1, 10, 6, 1, 2, 10, 6, 2, 6, 2, 10, 6, 10, 2, 1, 10, 10, 10, 10, 2, 2, 1, 2, 2, 2, 2, 2, 10, 10, 10, 1, 2, 6, 2, 6, 6, 2, 6, 10, 1, 10, 1, 6, 1, 1, 2, 10, 1, 10, 6, 6, 6, 2, 0, 2, 2, 2, 6, 2, 6, 10, 10, 10, 10, 10, 6, 10, 10, 1, 6, 2, 2, 2, 1, 2, 1, 2, 2, 10, 1, 6, 2, 1, 6, 10, 1, 6, 2, 6, 10, 1, 6, 2, 1, 2, 1, 1, 10, 6, 2, 2, 1, 2, 10, 0, 2, 6, 2, 10, 10, 1, 2, 10, 2, 2, 6, 10, 10, 1, 5, 2, 6, 1, 6, 2, 1, 10, 1, 6, 2, 6, 10, 6, 6, 1, 2, 2, 2, 1, 10, 10, 1, 6, 10, 6, 6, 2, 1, 10, 6, 6, 1, 1, 2, 2, 2, 6, 6, 10, 6, 1, 6, 2, 6, 2, 6, 10, 6, 10, 1, 1, 2, 1, 6, 2, 6, 1, 10, 10, 6, 10, 6, 2, 10, 1, 2, 6, 2, 10, 1, 6, 2, 2, 6, 1, 10, 2, 1, 1, 6, 2, 6, 2, 10, 9, 1, 1, 1, 6, 10, 6, 10, 2, 1, 1, 6, 2, 10, 2, 6, 10, 1, 2, 7, 6, 2, 2, 6, 10, 6, 6, 6, 1, 1, 2, 6, 6, 10, 2, 1, 2, 2, 10, 10, 6, 2, 2, 1, 10, 6, 2, 6, 5, 10, 2, 1, 6, 1, 10, 6, 1, 10, 1, 2, 2, 10, 1, 10, 1, 6, 60, 2, 10, 6, 6, 2, 6, 10, 10, 1, 2, 10, 9, 2, 2, 1, 10, 6, 4, 6, 2, 10, 1, 1, 10, 6, 2, 6, 1, 10, 2, 6, 6, 1, 10, 30, 1, 2, 6, 1, 10, 10, 2, 2, 2, 2, 1, 10, 1, 1, 1, 1, 0, 10, 6, 10, 1, 1, 1, 1, 6, 1, 1, 1, 10, 1, 6, 10, 2, 2, 10, 10, 1, 1, 10, 1, 6, 2, 1, 6, 2, 10, 10, 1, 10, 2, 2, 1, 1, 10, 6, 2, 9, 1, 6, 1, 10, 10, 2, 1, 10, 9, 1, 2, 10, 10, 6, 5, 10, 2, 2, 2, 2, 1, 6, 9, 2, 10, 10, 6, 1, 10, 6, 6, 2, 1, 10, 6, 1, 6, 2, 2, 1, 2, 2, 1, 4, 10, 6, 6, 2, 6, 2, 2, 10, 1, 10, 2, 10, 10, 10, 1, 6, 6, 10, 2, 1, 10, 9, 6, 2, 2, 9, 6, 1, 10, 2, 6, 2, 2, 2, 6, 1, 1, 0, 2, 2, 6, 5, 1, 6, 6, 6, 10, 1, 10, 6, 1, 10, 10, 2, 10, 2, 10, 10, 1, 6, 10, 10, 2, 2, 6, 2, 6, 1, 1, 10, 10, 6, 2, 10, 2, 1, 6, 10, 1, 2, 6, 1, 2, 2, 1, 6, 6, 10, 2, 10, 1, 6, 2, 2, 1, 10, 1, 1, 6, 1, 1, 6, 1, 6, 1, 2, 6, 1, 6, 2, 10, 6, 10, 1, 1, 1, 1, 10, 2, 2, 1, 2, 6, 10, 1, 6, 1, 10, 1, 6, 10, 2, 1, 6, 1, 6, 1, 1, 2, 1, 2, 1, 2, 10, 6, 6, 6, 6, 2, 4, 2, 10, 10, 10, 6, 1, 1, 10, 2, 2, 9, 1, 6, 1, 6, 10, 2, 10, 10, 2, 10, 2, 6, 5, 6, 2, 6, 10, 5, 2, 2, 10, 6, 10, 1, 5, 1, 1, 6, 10, 1, 2, 6, 6, 6, 10, 12, 6, 10, 1, 1, 2, 1, 10, 5, 10, 10, 10, 4, 1, 10, 10, 1, 10, 1, 10, 1, 1, 1, 6, 6, 10, 1, 6, 6, 1, 10, 2, 10, 10, 6, 2, 10, 2, 1, 2, 1, 10, 1, 2, 6, 6, 5, 10, 6, 1, 1, 6, 10, 6, 10, 6, 1, 1, 6, 1, 6, 2, 2, 2, 10, 6, 10, 6, 6, 6, 10, 10, 2, 2, 6, 2, 1, 1, 2, 1, 1, 10, 6, 1, 10, 6, 2, 10, 1, 6, 1, 6, 10, 4, 6, 1, 6, 1, 10, 1, 2, 1, 6, 2, 6, 6, 6, 10, 6, 2, 2, 10, 10, 1, 1, 10, 2, 1, 1, 1, 2, 6, 2, 6, 10, 10, 1, 1, 2, 1, 6, 1, 6, 1, 10, 6, 1, 2, 10, 2, 6, 6, 6, 6, 2, 2, 2, 10, 10, 6, 6, 6, 2, 6, 10, 2, 1, 2, 6, 6, 1, 10, 1, 2, 1, 10, 0, 1, 2, 1, 10, 2, 2, 1, 6, 1, 10, 2, 6, 2, 1, 6, 2, 10, 1, 1, 2, 6, 1, 10, 2, 10, 6, 10, 1, 10, 2, 2, 1, 10, 10, 10, 1, 10, 10, 2, 1, 2, 1, 10, 1, 2, 2, 5, 2, 10, 2, 6, 10, 2, 6, 6, 6, 10, 6, 10, 10, 2, 2, 1, 1, 1, 10, 6, 10, 1, 10, 10, 6, 1, 2, 2, 6, 6, 10, 1, 6, 1, 10, 2, 2, 6, 2, 2, 6, 6, 1, 0, 6, 10, 5, 1, 5, 2, 1, 10, 2, 2, 1, 1, 6, 1, 2, 10, 2, 2, 10, 10, 2, 10, 1, 2, 1, 6, 10, 6, 6, 10, 1, 10, 6, 10, 2, 1, 10, 6, 2, 10, 6, 10, 6, 10, 1, 1, 1, 1, 1, 1, 2, 1, 10, 10, 1, 10, 6, 10, 6, 10, 2, 1, 6, 10, 10, 9, 10, 1, 1, 2, 10, 2, 1, 1, 10, 2, 10, 10, 1, 2, 10, 1, 10, 1, 6, 10, 10, 2, 5, 2, 5, 6, 1, 1, 10, 1, 10, 6, 2, 2, 10, 10, 2, 1, 2, 1, 2, 2, 1, 2, 10, 1, 9, 10, 1, 10, 10, 10, 2, 10, 6, 10, 2, 1, 6, 10, 2, 2, 6, 1, 10, 1, 2, 6, 6, 5, 1, 6, 1, 2, 10, 2, 6, 2, 1, 10, 6, 6, 1, 1, 10, 2, 2, 10, 2, 10, 2, 1, 2, 1, 10, 6, 6, 2, 9, 10, 6, 1, 10, 2, 10, 6, 6, 6, 10, 10, 1, 2, 1, 1, 2, 10, 6, 1, 6, 6, 1, 2, 10, 2, 1, 10, 1, 6, 1, 9, 10, 6, 2, 6, 1, 10, 1, 6, 10, 0, 1, 6, 6, 10, 1, 1, 2, 6, 2, 6, 2, 1, 10, 1, 2, 2, 6, 6, 6, 2, 6, 2, 1, 10, 10, 2, 1, 1, 6, 1, 2, 2, 1, 10, 6, 1, 4, 6, 2, 4, 6, 5, 6, 10, 1, 6, 6, 2, 6, 1, 1, 10, 6, 10, 6, 1, 2, 1, 6, 6, 2, 2, 10, 6, 2, 6, 1, 2, 2, 6, 2, 2, 2, 2, 10, 6, 1, 1, 2, 1, 6, 1, 6, 2, 6, 10, 6, 10, 2, 6, 2, 10, 6, 6, 1, 6, 6, 2, 4, 6, 2, 1, 10, 1, 1, 1, 2, 2, 1, 10, 2, 10, 1, 1, 10, 2, 2, 10, 2, 1, 1, 2, 2, 1, 4, 2, 2, 1, 6, 1, 6, 10, 9, 10, 1, 1, 2, 6, 6, 2, 10, 10, 2, 10, 1, 2, 1, 0, 2, 10, 1, 2, 6, 1, 10, 10, 1, 2, 6, 2, 6, 2, 6, 1, 6, 1, 1, 6, 2, 1, 10, 2, 2, 9, 10, 10, 6, 6, 1, 6, 1, 2, 2, 2, 10, 2, 10, 2, 2, 1, 6, 10, 10, 1, 6, 10, 6, 2, 2, 10, 10, 2, 2, 1, 1, 2, 6, 2, 10, 10, 6, 6, 10, 6, 10, 6, 2, 6, 1, 6, 10, 1, 1, 1, 2, 1, 10, 10, 6, 10, 1, 6, 10, 6, 10, 2, 2, 10, 6, 2, 9, 1, 10, 2, 10, 2, 2, 10, 1, 6, 2, 10, 6, 2, 1, 2, 10, 10, 6, 10, 3, 6, 1, 6, 1, 6, 0, 10, 6, 6, 1, 1, 10, 10, 1, 1, 2, 6, 2, 10, 1, 1, 1, 6, 1, 2, 6, 1, 1, 10, 2, 1, 6, 1, 1, 6, 6, 1, 2, 1, 1, 6, 6, 1, 6, 2, 10, 6, 6, 2, 6, 2, 10, 1, 1, 1, 6, 1, 6, 1, 10, 10, 1, 6, 6, 6, 0, 6, 6, 1, 2, 6, 6, 6, 5, 1, 1, 10, 1, 6, 1, 2, 1, 6, 2, 6, 1, 6, 10, 10, 2, 2, 6, 6, 6, 2, 6, 6, 6, 2, 2, 6, 1, 10, 10, 2, 2, 10, 1, 6, 1, 6, 6, 10, 6, 2, 1, 1, 6, 10, 6, 2, 10, 1, 2, 1, 2, 1, 10, 1, 10, 10, 6, 10, 10, 10, 6, 1, 2, 6, 10, 6, 10, 1, 10, 2, 1, 1, 1, 1, 6, 1, 0, 10, 10, 2, 10, 2, 2, 6, 6, 1, 10, 1, 5, 10, 2, 10, 10, 1, 1, 10, 10, 1, 10, 1, 6, 1, 1, 10, 1, 1, 1, 10, 2, 6, 6, 6, 1, 2, 10, 6, 1, 2, 10, 2, 10, 6, 6, 10, 2, 10, 2, 2, 1, 1, 1, 0, 1, 10, 6, 1, 2, 6, 2, 10, 10, 9, 1, 1, 1, 40, 10, 1, 10, 10, 10, 1, 6, 6, 10, 2, 6, 6, 2, 6, 6, 10, 6, 1, 10, 1, 6, 1, 2, 2, 6, 6, 10, 1, 10, 1, 2, 1, 2, 1, 1, 2, 6, 2, 6, 6, 1, 10, 10, 1, 6, 6, 6, 10, 1, 6, 6, 10, 6, 10, 10, 1, 6, 6, 2, 6, 2, 2, 6, 10, 2, 10, 2, 9, 1, 10, 6, 2, 1, 10, 2, 1, 6, 2, 6, 1, 1, 10, 2, 6, 2, 6, 1, 1, 6, 1, 6, 6, 6, 2, 10, 6, 5, 10, 10, 2, 2, 6, 1, 6, 2, 2, 1, 1, 10, 10, 6, 2, 2, 2, 10, 10, 10, 2, 6, 10, 6, 2, 6, 10, 2, 6, 6, 6, 1, 0, 6, 6, 1, 1, 6, 6, 2, 1, 1, 10, 1, 2, 10, 2, 2, 2, 10, 10, 1, 10, 6, 6, 6, 1, 6, 6, 6, 6, 1, 2, 6, 1, 2, 2, 1, 6, 2, 2, 10, 10, 2, 1, 2, 1, 10, 2, 2, 2, 2, 6, 10, 6, 6, 10, 10, 6, 1, 1, 2, 1, 2, 6, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 6, 2, 10, 1, 6, 10, 6, 10, 2, 10, 6, 1, 10, 1, 6, 2, 10, 10, 2, 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6, 2, 0, 10, 2, 2, 10, 1, 6, 2, 6, 2, 2, 10, 6, 2, 10, 1, 2, 2, 6, 6, 10, 1, 6, 2, 6, 6, 2, 10, 2, 6, 10, 6, 6, 6, 6, 10, 2, 6, 1, 5, 10, 10, 10, 10, 2, 1, 2, 2, 1, 1, 6, 6, 6, 10, 10, 10, 6, 2, 1, 10, 10, 6, 2, 10, 2, 1, 10, 1, 6, 10, 6, 2, 2, 5, 1, 6, 6, 10, 1, 10, 10, 6, 2, 10, 2, 1, 2, 2, 1, 2, 10, 6, 10, 10, 10, 1, 6, 6, 10, 2, 10, 6, 6, 6, 6, 6, 1, 6, 10, 10, 10, 1, 6, 2, 10, 2, 10, 2, 6, 6, 1, 6, 1, 4, 2, 1, 1, 1, 1, 9, 6, 10, 1, 1, 1, 4, 1, 10, 6, 2, 10, 6, 6, 6, 6, 6, 10, 2, 10, 10, 2, 6, 2, 6, 2, 6, 6, 1, 6, 2, 2, 10, 10, 10, 1, 10, 1, 1, 2, 10, 10, 10, 6, 2, 2, 6, 2, 2, 6, 2, 6, 6, 4, 10, 6, 1, 2, 10, 2, 10, 6, 10, 6, 0, 10, 6, 1, 1, 10, 6, 10, 1, 1, 6, 10, 2, 2, 10, 10, 1, 6, 1, 2, 2, 2, 1, 10, 10, 10, 2, 6, 2, 1, 1, 2, 2, 1, 1, 6, 6, 10, 2, 1, 1, 6, 10, 1, 1, 10, 2, 2, 2, 6, 1, 6, 1, 6, 10, 2, 6, 2, 6, 2, 10, 6, 2, 1, 1, 10, 1, 6, 2, 2, 6, 10, 1, 6, 6, 2, 1, 1, 10, 6, 2, 10, 2, 6, 6, 10, 2, 6, 6, 1, 1, 1, 10, 2, 6, 10, 10, 1, 2, 2, 10, 10, 1, 1, 10, 1, 1, 10, 10, 10, 1, 6, 6, 1, 6, 1, 10, 2, 6, 6, 2, 1, 6, 1, 1, 2, 6, 2, 1, 1, 6, 6, 10, 6, 10, 6, 2, 6, 10, 10, 6, 1, 10, 6, 1, 1, 1, 2, 6, 2, 0, 6, 6, 10, 2, 1, 10, 2, 6, 2, 1, 6, 6, 10, 10, 6, 2, 1, 10, 10, 10, 7, 1, 10, 6, 1, 10, 10, 2, 6, 10, 6, 10, 10, 2, 1, 2, 6, 10, 6, 1, 1, 2, 1, 10, 1, 1, 1, 6, 10, 10, 6, 1, 1, 10, 1, 2, 6, 6, 2, 6, 2, 10, 1, 6, 2, 10, 2, 6, 2, 6, 10, 2, 2, 6, 10, 40, 0, 6, 1, 1, 10, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 10, 1, 10, 1, 2, 2, 2, 6, 1, 2, 2, 10, 2, 10, 10, 10, 1, 0, 6, 1, 2, 2, 6, 10, 2, 6, 6, 10, 6, 0, 2, 10, 1, 6, 2, 6, 1, 1, 10, 2, 10, 2, 2, 1, 1, 1, 1, 10, 6, 2, 2, 2, 2, 2, 1, 6, 10, 6, 2, 1, 10, 10, 10, 2, 2, 1, 6, 10, 1, 1, 2, 1, 10, 1, 1, 10, 10, 6, 1, 6, 1, 6, 10, 6, 6, 6, 10, 6, 2, 9, 2, 2, 2, 6, 2, 2, 1, 6, 1, 2, 1, 6, 2, 2, 10, 1, 6, 1, 6, 2, 6, 10, 2, 10, 10, 1, 6, 1, 1, 2, 10, 2, 6, 10, 2, 10, 6, 2, 2, 2, 10, 2, 6, 1, 6, 6, 2, 6, 10, 1, 10, 2, 6, 2, 2, 6, 1, 10, 10, 1, 1, 2, 1, 2, 10, 2, 1, 2, 2, 1, 6, 2, 2, 1, 1, 5, 10, 1, 10, 10, 1, 6, 1, 2, 2, 2, 10, 10, 2, 2, 6, 6, 1, 9, 1, 1, 10, 1, 1, 10, 4, 10, 2, 1, 10, 2, 1, 1, 4, 6, 6, 0, 10, 10, 10, 2, 6, 1, 1, 2, 10, 6, 10, 2, 10, 6, 2, 10, 1, 2, 2, 1, 6, 1, 2, 6, 2, 2, 1, 2, 2, 1, 2, 10, 2, 6, 2, 1, 5, 10, 10, 1, 6, 1, 1, 1, 6, 10, 1, 10, 10, 2, 1, 2, 10, 6, 1, 1, 1, 10, 1, 1, 1, 6, 10, 10, 5, 1, 1, 6, 2, 1, 4, 2, 6, 2, 1, 2, 10, 6, 6, 10, 1, 1, 10, 10, 1, 6, 10, 2, 1, 10, 1, 6, 10, 10, 2, 6, 10, 10, 2, 10, 10, 6, 9, 0, 6, 1, 5, 10, 1, 6, 0, 2, 2, 6, 10, 10, 2, 10, 2, 1, 6, 10, 10, 2, 1, 2, 2, 6, 2, 6, 2, 2, 10, 1, 6, 6, 1, 10, 10, 6, 6, 1, 10, 10, 2, 1, 6, 10, 1, 10, 1, 10, 2, 1, 10, 1, 2, 10, 10, 6, 2, 1, 10, 1, 1, 6, 6, 6, 6, 6, 6, 2, 6, 6, 1, 1, 2, 10, 10, 10, 10, 6, 10, 2, 10, 1, 10, 0, 1, 6, 10, 2, 6, 1, 2, 1, 10, 6, 6, 6, 10, 10, 6, 10, 2, 2, 1, 1, 10, 2, 1, 2, 2, 10, 10, 6, 6, 1, 6, 10, 2, 2, 10, 10, 10, 6, 10, 10, 1, 1, 10, 10, 10, 10, 2, 6, 6, 1, 0, 1, 1, 1, 10, 2, 6, 1, 1, 1, 10, 10, 6, 1, 6, 2, 10, 2, 6, 1, 1, 10, 6, 6, 10, 6, 0, 2, 10, 10, 10, 1, 2, 1, 1, 10, 6, 6, 1, 2, 2, 6, 1, 2, 2, 1, 2, 2, 2, 1, 10, 0, 0, 1, 1, 2, 10, 1, 2, 2, 6, 4, 1, 10, 2, 6, 2, 1, 1, 6, 2, 1, 1, 2, 2, 6, 10, 2, 1, 1, 1, 2, 6, 1, 4, 10, 6, 1, 1, 2, 10, 10, 2, 10, 10, 2, 2, 10, 6, 6, 1, 2, 2, 1, 6, 2, 2, 1, 1, 2, 1, 10, 6, 10, 10, 1, 10, 10, 1, 6, 6, 1, 6, 10, 10, 10, 1, 2, 6, 10, 10, 2, 1, 1, 1, 2, 2, 2, 6, 10, 1, 10, 1, 10, 1, 2, 1, 6, 1, 10, 1, 10, 10, 10, 1, 2, 6, 6, 0, 6, 2, 6, 1, 2, 1, 1, 2, 6, 10, 2, 0, 10, 1, 6, 10, 10, 6, 2, 10, 6, 10, 1, 2, 10, 10, 6, 1, 6, 1, 6, 2, 2, 1, 9, 2, 1, 2, 1, 1, 10, 1, 2, 6, 1, 1, 10, 1, 10, 6, 2, 10, 10, 10, 6, 6, 1, 2, 2, 10, 2, 10, 10, 10, 2, 6, 6, 6, 6, 6, 10, 1, 10, 1, 2, 10, 6, 10, 1, 2, 6, 2, 5, 6, 2, 1, 2, 5, 10, 1, 2, 1, 6, 2, 6, 1, 2, 6, 10, 10, 2, 1, 6, 10, 1, 10, 1, 10, 2, 10, 2, 6, 2, 2, 10, 6, 2, 2, 1, 6, 2, 0, 6, 1, 10, 1, 6, 10, 2, 2, 10, 10, 6, 10, 2, 6, 1, 10, 1, 2, 2, 10, 1, 10, 10, 10, 1, 6, 2, 6, 2, 6, 2, 1, 1, 6, 6, 10, 6, 2, 10, 6, 6, 10, 4, 2, 9, 2, 10, 2, 10, 1, 1, 6, 2, 1, 1, 6, 1, 1, 6, 6, 0, 6, 2, 1, 6, 1, 10, 2, 1, 2, 1, 10, 10, 2, 6, 10, 6, 2, 6, 6, 6, 2, 1, 6, 2, 2, 6, 2, 6, 1, 6, 2, 6, 2, 1, 6, 1, 6, 6, 6, 2, 10, 5, 1, 6, 6, 2, 1, 2, 1, 6, 6, 1, 10, 1, 1, 10, 2, 1, 2, 2, 1, 2, 1, 10, 1, 0, 10, 2, 6, 6, 1, 10, 6, 6, 2, 6, 10, 2, 5, 6, 2, 2, 10, 10, 6, 10, 4, 6, 10, 10, 6, 1, 1, 10, 10, 10, 2, 10, 2, 2, 2, 10, 10, 6, 2, 1, 6, 2, 10, 1, 6, 10, 6, 1, 1, 10, 10, 6, 6, 6, 2, 10, 6, 6, 6, 1, 6, 1, 10, 1, 1, 10, 1, 6, 1, 10, 2, 2, 1, 2, 10, 6, 1, 2, 10, 6, 6, 6, 1, 1, 2, 1, 10, 6, 10, 2, 10, 2, 2, 2, 6, 10, 6, 2, 6, 6, 2, 2, 2, 10, 10, 6, 1, 6, 2, 2, 1, 1, 6, 10, 1, 10, 1, 1, 6, 1, 2, 6, 1, 10, 10, 1, 1, 9, 10, 2, 2, 1, 4, 6, 2, 2, 1, 6, 6, 10, 2, 2, 1, 10, 1, 6, 1, 1, 10, 10, 10, 6, 1, 10, 10, 10, 2, 2, 2, 6, 1, 1, 1, 6, 1, 6, 6, 6, 1, 10, 1, 1, 6, 10, 2, 2, 4, 1, 6, 2, 2, 1, 6, 6, 6, 6, 2, 1, 9, 10, 1, 1, 10, 10, 6, 1, 10, 10, 6, 10, 1, 6, 6, 9, 10, 10, 2, 6, 2, 2, 1, 10, 10, 1, 1, 2, 2, 10, 2, 1, 6, 5, 2, 6, 4, 1, 6, 10, 2, 10, 1, 2, 2, 10, 10, 1, 1, 10, 6, 10, 10, 1, 2, 1, 1, 2, 10, 6, 6, 2, 6, 6, 1, 6, 10, 6, 1, 1, 10, 10, 2, 1, 0, 10, 10, 10, 10, 1, 1, 2, 10, 10, 1, 6, 10, 1, 2, 1, 1, 2, 10, 1, 1, 1, 2, 10, 10, 1, 6, 1, 6, 6, 6, 2, 6, 10, 1, 6, 1, 1, 6, 1, 6, 2, 6, 10, 2, 2, 10, 10, 2, 1, 2, 1, 10, 10, 2, 6, 10, 1, 2, 6, 1, 1, 2, 6, 2, 10, 6, 2, 1, 1, 10, 10, 10, 6, 1, 10, 6, 2, 2, 2, 10, 1, 10, 4, 2, 6, 2, 10, 6, 2, 2, 2, 6, 2, 6, 10, 9, 2, 6, 2, 1, 2, 2, 10, 9, 1, 6, 1, 6, 10, 10, 6, 1, 6, 6, 6, 1, 10, 6, 6, 1, 10, 6, 6, 1, 1, 1, 1, 10, 2, 2, 10, 10, 1, 10, 2, 2, 6, 1, 10, 1, 6, 10, 1, 1, 2, 6, 2, 6, 4, 2, 2, 2, 1, 2, 0, 1, 2, 2, 6, 2, 6, 10, 6, 2, 2, 1, 6, 2, 2, 2, 6, 10, 6, 2, 1, 10, 5, 1, 6, 10, 1, 10, 1, 2, 1, 10, 2, 2, 6, 10, 6, 6, 2, 2, 10, 10, 1, 2, 2, 10, 6, 10, 9, 6, 10, 1, 6, 6, 1, 10, 6, 5, 1, 10, 6, 2, 10, 1, 1, 1, 0, 1, 10, 10, 1, 6, 1, 10, 1, 6, 6, 4, 2, 1, 1, 1, 1, 10, 6, 1, 6, 2, 6, 6, 2, 1, 6, 2, 2, 6, 6, 2, 1, 5, 5, 1, 2, 10, 6, 10, 6, 1, 10, 6, 1, 2, 12, 10, 10, 10, 10, 2, 2, 1, 1, 6, 9, 2, 10, 1, 2, 10, 6, 1, 1, 1, 2, 6, 2, 6, 6, 2, 1, 2, 1, 2, 6, 6, 2, 2, 6, 6, 6, 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10, 1, 6, 6, 6, 1, 6, 2, 2, 2, 2, 1, 1, 6, 10, 2, 10, 1, 6, 6, 1, 6, 6, 2, 2, 6, 1, 2, 10, 1, 2, 10, 10, 6, 1, 10, 10, 1, 10, 6, 1, 6, 2, 2, 10, 10, 6, 2, 2, 2, 6, 6, 1, 10, 2, 6, 1, 2, 1, 2, 2, 6, 6, 2, 6, 6, 10, 10, 2, 1, 1, 1, 6, 2, 1, 1, 10, 2, 2, 2, 1, 6, 2, 10, 1, 1, 2, 2, 1, 10, 1, 2, 6, 10, 6, 1, 2, 6, 1, 1, 10, 9, 1, 1, 2, 10, 10, 2, 10, 10, 6, 6, 5, 2, 1, 10, 10, 6, 2, 10, 6, 10, 2, 6, 10, 10, 1, 1, 1, 6, 10, 2, 6, 6, 10, 10, 6, 2, 9, 2, 10, 1, 10, 6, 1, 10, 2, 1, 2, 6, 2, 1, 10, 0, 10, 1, 1, 6, 6, 2, 2, 6, 1, 6, 2, 6, 1, 10, 10, 2, 2, 6, 2, 10, 1, 6, 6, 6, 6, 6, 1, 2, 6, 2, 6, 6, 1, 10, 6, 1, 1, 6, 10, 6, 6, 1, 10, 2, 10, 2, 1, 1, 1, 10, 2, 10, 6, 10, 6, 1, 2, 2, 2, 6, 6, 6, 10, 6, 6, 6, 2, 10, 6, 2, 2, 0, 10, 10, 10, 1, 10, 6, 2, 10, 2, 6, 9, 6, 6, 1, 2, 1, 6, 2, 1, 1, 10, 10, 6, 10, 6, 6, 2, 1, 10, 1, 1, 6, 6, 2, 10, 6, 10, 1, 6, 10, 2, 1, 1, 6, 2, 1, 2, 6, 10, 2, 2, 10, 1, 1, 2, 5, 6, 2, 1, 2, 1, 1, 1, 1, 1, 4, 10, 2, 4, 2, 10, 1, 6, 2, 2, 6, 1, 6, 10, 2, 1, 2, 2, 2, 2, 2, 6, 10, 6, 1, 6, 6, 10, 10, 1, 10, 1, 10, 10, 10, 1, 6, 1, 1, 6, 2, 6, 10, 6, 6, 10, 1, 10, 10, 2, 2, 2, 1, 2, 4, 10, 2, 6, 1, 1, 6, 1, 9, 2, 10, 10, 2, 1, 2, 1, 6, 1, 1, 10, 6, 1, 10, 2, 6, 6, 10, 6, 6, 10, 2, 10, 2, 1, 2, 10, 10, 6, 1, 2, 10, 2, 9, 6, 1, 2, 6, 1, 6, 1, 4, 2, 6, 1, 1, 1, 2, 10, 1, 6, 6, 10, 1, 10, 2, 1, 6, 4, 2, 2, 10, 2, 10, 10, 6, 10, 6, 1, 1, 10, 2, 1, 2, 1, 6, 1, 10, 2, 9, 2, 1, 6, 1, 6, 1, 6, 1, 10, 1, 6, 5, 1, 1, 6, 1, 6, 6, 10, 2, 6, 1, 2, 1, 1, 1, 1, 10, 10, 1, 10, 2, 1, 10, 6, 6, 10, 10, 1, 1, 1, 10, 1, 6, 6, 1, 1, 5, 2, 6, 1, 1, 6, 10, 6, 2, 2, 10, 6, 10, 2, 10, 2, 2, 10, 6, 6, 1, 1, 2, 10, 10, 10, 10, 1, 6, 10, 2, 0, 6, 9, 2, 2, 10, 2, 1, 10, 1, 6, 6, 6, 6, 10, 6, 2, 1, 2, 10, 10, 0, 2, 2, 2, 10, 6, 10, 6, 6, 6, 6, 10, 10, 10, 0, 6, 2, 10, 2, 2, 2, 2, 2, 6, 6, 6, 2, 1, 1, 6, 10, 10, 10, 10, 1, 6, 2, 6, 6, 6, 6, 6, 10, 10, 10, 1, 6, 2, 10, 2, 2, 1, 6, 6, 10, 6, 2, 10, 6, 10, 10, 10, 6, 6, 2, 2, 6, 0, 6, 10, 1, 6, 1, 5, 2, 10, 2, 6, 2, 6, 6, 10, 2, 2, 9, 10, 6, 2, 4, 10, 1, 2, 2, 6, 2, 2, 2, 10, 1, 6, 2, 1, 2, 2, 6, 2, 2, 6, 6, 6, 6, 1, 10, 2, 1, 2, 1, 6, 1, 10, 10, 5, 2, 6, 1, 6, 6, 10, 6, 10, 2, 2, 1, 10, 2, 2, 6, 6, 2, 6, 2, 1, 1, 1, 2, 10, 6, 2, 10, 2, 1, 10, 2, 1, 1, 10, 1, 10, 10, 6, 10, 2, 6, 1, 1, 6, 6, 1, 1, 6, 2, 6, 2, 10, 2, 2, 6, 6, 2, 1, 2, 6, 2, 10, 10, 10, 0, 2, 6, 10, 10, 1, 6, 6, 2, 2, 1, 1, 2, 2, 1, 2, 10, 10, 6, 10, 6, 6, 1, 2, 10, 1, 6, 6, 1, 1, 2, 10, 1, 10, 10, 2, 1, 10, 10, 10, 6, 10, 1, 6, 6, 1, 6, 1, 2, 2, 10, 2, 2, 2, 2, 2, 1, 1, 10, 2, 2, 2, 10, 6, 10, 2, 2, 6, 1, 6, 1, 6, 2, 1, 10, 2, 10, 6, 1, 10, 10, 1, 10, 1, 6, 10, 6, 1, 1, 2, 2, 1, 2, 10, 10, 10, 10, 6, 6, 6, 10, 6, 2, 10, 2, 2, 1, 6, 1, 1, 6, 1, 6, 10, 1, 1, 1, 6, 1, 2, 1, 2, 6, 1, 6, 6, 2, 1, 2, 10, 2, 6, 10, 10, 10, 10, 6, 6, 6, 6, 1, 10, 5, 1, 2, 1, 2, 6, 6, 6, 1, 6, 10, 1, 2, 10, 1, 10, 10, 10, 2, 2, 2, 6, 2, 2, 2, 6, 2, 6, 1, 1, 2, 10, 10, 10, 1, 2, 10, 2, 10, 10, 1, 1, 2, 6, 1, 2, 1, 1, 2, 9, 0, 2, 6, 1, 1, 1, 2, 6, 6, 1, 1, 10, 10, 10, 6, 10, 1, 10, 10, 1, 10, 10, 10, 2, 6, 6, 2, 6, 6, 10, 6, 10, 6, 10, 2, 10, 6, 2, 10, 6, 6, 10, 2, 10, 1, 1, 10, 6, 1, 1, 10, 10, 1, 6, 1, 6, 0, 10, 1, 2, 10, 1, 10, 10, 6, 1, 2, 10, 2, 6, 2, 10, 10, 10, 6, 1, 10, 1, 6, 10, 1, 6, 10, 10, 1, 2, 6, 1, 6, 1, 6, 1, 10, 6, 6, 6, 1, 10, 1, 2, 2, 6, 6, 10, 2, 10, 10, 10, 6, 10, 1, 10, 6, 2, 2, 6, 10, 1, 1, 2, 2, 10, 6, 6, 2, 1, 10, 2, 1, 6, 10, 6, 1, 10, 10, 10, 1, 10, 6, 6, 1, 2, 10, 10, 6, 1, 6, 6, 1, 2, 2, 10, 6, 2, 10, 2, 2, 4, 6, 10, 1, 6, 2, 6, 10, 6, 6, 1, 6, 6, 10, 6, 1, 10, 6, 1, 6, 10, 2, 6, 10, 1, 6, 10, 2, 6, 1, 1, 1, 2, 6, 6, 1, 2, 1, 1, 2, 10, 2, 6, 1, 4, 2, 1, 2, 2, 10, 1, 10, 2, 6, 2, 6, 6, 2, 10, 10, 6, 9, 1, 1, 6, 6, 2, 1, 6, 10, 10, 2, 6, 10, 1, 10, 2, 10, 2, 2, 6, 2, 1, 10, 6, 10, 6, 2, 10, 6, 6, 1, 1, 10, 6, 10, 6, 2, 2, 1, 6, 1, 10, 6, 10, 2, 6, 1, 2, 2, 10, 10, 6, 1, 10, 6, 10, 6, 6, 2, 10, 6, 1, 1, 1, 1, 2, 6, 2, 6, 6, 6, 6, 10, 2, 6, 6, 10, 6, 10, 6, 2, 2, 1, 10, 2, 1, 2, 1, 10, 1, 1, 10, 1, 10, 6, 2, 10, 6, 6, 2, 2, 10, 1, 2, 10, 10, 6, 2, 10, 1, 1, 6, 2, 2, 6, 6, 1, 2, 1, 10, 1, 6, 10, 10, 10, 2, 6, 2, 1, 10, 2, 10, 10, 10, 6, 6, 6, 10, 10, 10, 2, 10, 1, 1, 10, 10, 1, 2, 2, 1, 1, 2, 6, 1, 6, 10, 6, 2, 10, 6, 2, 2, 6, 1, 6, 1, 2, 6, 1, 1, 6, 6, 2, 2, 10, 2, 6, 2, 1, 1, 6, 6, 1, 1, 2, 6, 6, 10, 6, 6, 6, 6, 1, 2, 10, 1, 6, 6, 10, 2, 2, 1, 10, 1, 0, 6, 2, 2, 10, 2, 6, 1, 10, 2, 1, 1, 6, 10, 6, 10, 1, 10, 2, 2, 0, 2, 1, 6, 10, 10, 6, 1, 10, 6, 9, 10, 2, 2, 6, 1, 2, 0, 10, 1, 6, 2, 1, 10, 10, 10, 10, 0, 6, 10, 6, 2, 6, 1, 10, 10, 1, 10, 2, 6, 1, 1, 6, 6, 1, 0, 6, 10, 2, 6, 2, 2, 10, 1, 10, 2, 2, 2, 6, 2, 1, 10, 10, 6, 2, 1, 1, 1, 10, 6, 2, 6, 1, 10, 1, 10, 10, 1, 6, 2, 10, 2, 6, 2, 1, 6, 2, 6, 2, 10, 6, 2, 2, 1, 1, 2, 9, 10, 10, 5, 2, 6, 10, 1, 2, 6, 1, 10, 10, 0, 1, 6, 10, 6, 1, 2, 10, 1, 0, 6, 6, 6, 1, 10, 2, 10, 2, 2, 6, 2, 10, 6, 10, 10, 1, 2, 1, 6, 10, 10, 9, 10, 6, 1, 2, 10, 2, 1, 1, 2, 2, 10, 6, 1, 1, 2, 6, 1, 10, 10, 5, 1, 1, 1, 2, 0, 6, 1, 1, 2, 4, 6, 1, 10, 6, 6, 10, 2, 1, 1, 10, 2, 2, 7, 2, 2, 1, 10, 1, 2, 6, 2, 10, 2, 10, 10, 1, 2, 10, 6, 10, 1, 1, 6, 1, 2, 10, 1, 10, 10, 2, 10, 6, 2, 2, 1, 10, 10, 2, 2, 10, 0, 10, 2, 10, 10, 10, 6, 10, 2, 6, 10, 2, 6, 6, 6, 6, 1, 6, 2, 10, 1, 2, 1, 10, 6, 6, 2, 2, 6, 6, 2, 10, 6, 2, 6, 1, 1, 6, 4, 1, 6, 2, 2, 6, 10, 1, 9, 6, 6, 2, 2, 2, 6, 1, 6, 1, 1, 6, 5, 6, 6, 2, 2, 2, 6, 10, 2, 2, 2, 1, 1, 1, 6, 6, 10, 2, 1, 1, 1, 10, 1, 2, 10, 10, 1, 2, 1, 1, 1, 1, 10, 2, 1, 6, 2, 6, 10, 2, 10, 1, 2, 10, 1, 1, 10, 2, 2, 10, 6, 10, 6, 2, 6, 1, 1, 6, 6, 2, 2, 6, 2, 2, 10, 1, 6, 2, 6, 1, 10, 10, 10, 6, 0, 2, 6, 6, 10, 1, 6, 2, 10, 2, 2, 6, 6, 1, 10, 6, 10, 2, 10, 10, 6, 6, 10, 6, 1, 6, 2, 10, 10, 1, 10, 6, 6, 2, 1, 10, 2, 10, 10, 1, 10, 6, 0, 6, 6, 1, 2, 6, 1, 1, 2, 2, 1, 6, 10, 5, 6, 10, 1, 1, 10, 6, 2, 6, 2, 2, 6, 1, 6, 1, 10, 6, 6, 6, 10, 2, 2, 10, 10, 2, 6, 2, 10, 1, 2, 1, 10, 1, 10, 2, 0, 2, 1, 1, 1, 10, 2, 2, 1, 10, 1, 1, 1, 1, 1, 2, 1, 2, 2, 6, 1, 10, 6, 2, 10, 10, 5, 10, 1, 9, 1, 6, 2, 1, 1, 6, 10, 2, 4, 6, 6, 1, 1, 1, 2, 1, 0, 6, 1, 2, 2, 1, 2, 6, 10, 1, 1, 10, 6, 2, 1, 10, 1, 1, 2, 6, 2, 1, 6, 2, 1, 5, 1, 2, 6, 6, 6, 1, 1, 1, 2, 10, 1, 1, 0, 10, 1, 1, 6, 6, 2, 5, 10, 2, 10, 6, 6, 2, 10, 6, 10, 1, 1, 10, 6, 1, 2, 4, 1, 1, 2, 1, 6, 2, 1, 2, 10, 6, 2, 10, 10, 10, 2, 1, 6, 2, 1, 2, 2, 6, 2, 10, 10, 2, 9, 2, 1, 1, 10, 10, 6, 6, 2, 2, 6, 1, 1, 2, 10, 1, 6, 2, 6, 2, 6, 6, 1, 6, 2, 10, 0, 1, 6, 10, 2, 1, 1, 2, 1, 10, 1, 6, 1, 2, 2, 6, 1, 10, 10, 1, 2, 1, 10, 10, 1, 6, 6, 10, 2, 2, 10, 1, 1, 1, 1, 6, 6, 4, 10, 0, 9, 2, 1, 6, 10, 6, 1, 6, 10, 2, 1, 6, 6, 2, 5, 10, 1, 6, 1, 6, 1, 1, 6, 1, 10, 1, 1, 1, 2, 6, 10, 1, 10, 2, 10, 2, 1, 2, 2, 10, 6, 10, 2, 2, 10, 1, 10, 1, 1, 2, 6, 6, 6, 6, 10, 2, 10, 1, 6, 1, 9, 10, 6, 10, 1, 1, 10, 10, 2, 10, 10, 6, 1, 1, 1, 10, 6, 10, 1, 6, 10, 1, 10, 1, 10, 10, 1, 10, 6, 1, 10, 6, 6, 2, 1, 2, 10, 10, 1, 6, 10, 6, 1, 2, 6, 1, 1, 2, 10, 0, 2, 6, 1, 2, 1, 2, 1, 1, 10, 1, 10, 10, 6, 2, 10, 6, 2, 10, 2, 2, 2, 6, 2, 1, 10, 10, 6, 2, 1, 2, 2, 2, 10, 10, 6, 2, 1, 1, 1, 1, 1, 2, 9, 9, 10, 5, 2, 10, 10, 1, 10, 10, 4, 1, 10, 1, 6, 10, 6, 1, 6, 1, 6, 1, 4, 6, 1, 2, 6, 6, 1, 6, 1, 6, 10, 6, 1, 1, 1, 10, 6, 10, 10, 6, 2, 2, 10, 2, 6, 1, 6, 2, 1, 1, 1, 1, 10, 6, 6, 6, 10, 1, 10, 10, 6, 2, 1, 4, 10, 10, 6, 10, 1, 10, 1, 1, 1, 2, 2, 2, 10, 10, 10, 2, 1, 5, 10, 1, 2, 1, 2, 2, 1, 10, 6, 2, 2, 6, 10, 2, 10, 6, 10, 1, 1, 10, 1, 10, 6, 10, 1, 2, 6, 6, 6, 1, 6, 2, 10, 10, 2, 2, 1, 10, 2, 10, 2, 10, 6, 6, 6, 2, 10, 2, 10, 2, 9, 2, 1, 1, 1, 1, 2, 1, 10, 10, 4, 10, 2, 1, 2, 6, 2, 2, 5, 1, 6, 6, 10, 1, 10, 6, 6, 2, 2, 2, 1, 6, 6, 1, 5, 10, 1, 2, 6, 6, 6, 10, 10, 1, 2, 10, 5, 2, 10, 2, 6, 6, 2, 10, 1, 6, 2, 6, 6, 2, 2, 6, 2, 6, 5, 6, 6, 1, 6, 10, 1, 6, 10, 10, 1, 6, 1, 1, 6, 2, 10, 6, 2, 10, 6, 10, 6, 1, 6, 2, 2, 9, 1, 2, 6, 6, 2, 6, 6, 0, 10, 2, 6, 1, 10, 10, 2, 6, 1, 10, 1, 1, 1, 6, 6, 10, 2, 10, 6, 2, 1, 1, 6, 1, 6, 6, 10, 10, 2, 10, 1, 10, 10, 2, 10, 2, 9, 6, 1, 6, 2, 1, 6, 1, 6, 10, 2, 2, 2, 10, 1, 1, 10, 1, 1, 2, 10, 10, 2, 10, 2, 6, 1, 4, 10, 0, 6, 6, 1, 10, 10, 10, 6, 10, 2, 2, 1, 2, 10, 6, 1, 1, 2, 6, 6, 6, 6, 10, 2, 2, 6, 1, 2, 1, 6, 1, 2, 2, 10, 1, 2, 1, 2, 5, 1, 10, 10, 2, 6, 1, 1, 10, 6, 6, 1, 0, 10, 10, 6, 2, 2, 2, 2, 10, 6, 2, 2, 6, 10, 10, 1, 6, 6, 6, 10, 6, 10, 1, 2, 1, 2, 6, 2, 1, 6, 10, 1, 10, 6, 10, 6, 1, 2, 10, 10, 1, 4, 2, 6, 2, 6, 10, 5, 2, 1, 1, 2, 6, 1, 2, 10, 1, 6, 10, 6, 2, 2, 1, 10, 1, 10, 2, 5, 1, 1, 10, 2, 6, 2, 1, 10, 2, 2, 1, 2, 2, 10, 6, 10, 1, 10, 2, 2, 6, 6, 10, 1, 2, 10, 10, 2, 7, 10, 6, 6, 10, 6, 6, 2, 10, 10, 1, 6, 0, 10, 1, 1, 1, 10, 6, 2, 6, 1, 10, 10, 6, 6, 6, 2, 2, 1, 2, 2, 2, 2, 10, 6, 6, 2, 10, 10, 2, 6, 2, 2, 6, 10, 10, 2, 10, 1, 10, 10, 1, 2, 2, 10, 10, 1, 10, 10, 2, 1, 2, 10, 10, 10, 6, 1, 2, 10, 2, 10, 2, 2, 2, 6, 10, 2, 10, 6, 1, 1, 10, 6, 2, 6, 6, 10, 2, 6, 10, 1, 10, 6, 2, 6, 6, 2, 6, 2, 6, 6, 6, 10, 1, 2, 6, 1, 10, 1, 10, 1, 2, 10, 6, 1, 10, 2, 1, 2, 6, 10, 2, 2, 6, 10, 1, 1, 10, 10, 10, 2, 2, 6, 1, 2, 6, 1, 1, 2, 6, 1, 1, 2, 10, 10, 10, 0, 1, 1, 1, 2, 10, 2, 1, 10, 9, 10, 10, 2, 2, 1, 2, 10, 1, 1, 10, 10, 10, 1, 2, 2, 6, 6, 6, 2, 1, 10, 6, 2, 2, 1, 1, 1, 1, 10, 2, 2, 2, 1, 2, 10, 6, 1, 10, 5, 1, 10, 6, 1, 1, 6, 10, 10, 2, 1, 2, 1, 6, 10, 6, 10, 6, 10, 6, 10, 1, 6, 10, 6, 2, 1, 1, 0, 2, 1, 1, 10, 10, 10, 6, 10, 10, 1, 0, 1, 6, 1, 2, 2, 6, 10, 10, 2, 1, 10, 6, 2, 10, 2, 1, 10, 2, 1, 5, 6, 1, 2, 6, 6, 2, 10, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 5, 2, 2, 6, 10, 1, 6, 2, 10, 2, 10, 6, 2, 10, 1, 10, 10, 2, 6, 10, 1, 1, 10, 2, 6, 5, 1, 10, 1, 2, 2, 10, 2, 1, 10, 2, 10, 1, 10, 2, 6, 2, 1, 2, 2, 6, 1, 10, 10, 10, 2, 6, 1, 6, 10, 10, 2, 2, 1, 10, 2, 2, 2, 6, 2, 1, 1, 1, 10, 6, 1, 10, 6, 1, 2, 1, 1, 10, 10, 10, 6, 1, 2, 10, 6, 6, 6, 6, 2, 2, 1, 6, 2, 6, 1, 2, 1, 6, 2, 10, 1, 2, 1, 6, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 10, 10, 1, 6, 1, 5, 1, 2, 6, 1, 6, 1, 10, 10, 1, 6, 10, 2, 2, 1, 1, 2, 6, 1, 1, 6, 2, 2, 10, 1, 10, 6, 2, 2, 6, 10, 6, 1, 10, 10, 2, 2, 1, 1, 5, 10, 1, 1, 1, 6, 10, 6, 1, 6, 10, 10, 6, 6, 10, 2, 10, 10, 1, 6, 6, 1, 10, 1, 1, 1, 1, 10, 10, 2, 2, 2, 10, 1, 6, 1, 4, 6, 6, 1, 2, 10, 10, 2, 10, 6, 10, 2, 6, 10, 1, 1, 2, 10, 10, 9, 2, 10, 6, 10, 10, 1, 2, 10, 2, 1, 10, 1, 2, 1, 1, 10, 6, 6, 2, 1, 10, 2, 10, 1, 4, 6, 1, 1, 10, 6, 10, 2, 10, 6, 2, 1, 2, 10, 1, 10, 2, 2, 5, 1, 1, 6, 10, 1, 0, 10, 6, 1, 10, 2, 10, 2, 6, 5, 10, 2, 6, 2, 2, 10, 2, 9, 10, 2, 2, 10, 10, 2, 10, 1, 2, 1, 10, 2, 10, 1, 2, 10, 1, 4, 6, 6, 2, 1, 2, 1, 10, 5, 6, 6, 10, 10, 2, 2, 10, 6, 6, 1, 10, 1, 10, 1, 6, 10, 10, 1, 2, 1, 2, 10, 6, 10, 1, 2, 10, 6, 10, 2, 10, 1, 2, 2, 10, 10, 1, 10, 2, 2, 10, 1, 6, 1, 2, 10, 6, 10, 1, 10, 10, 10, 1, 10, 1, 6, 2, 6, 6, 10, 2, 10, 2, 9, 2, 10, 6, 6, 1, 1, 10, 1, 2, 6, 2, 1, 1, 6, 60, 6, 2, 1, 1, 6, 2, 6, 6, 10, 2, 2, 6, 2, 2, 10, 1, 2, 6, 1, 1, 1, 10, 2, 6, 2, 10, 6, 10, 1, 2, 10, 2, 6, 2, 2, 10, 1, 1, 1, 1, 6, 6, 1, 10, 1, 6, 2, 10, 5, 2, 2, 2, 6, 10, 10, 1, 1, 6, 5, 10, 6, 6, 2, 1, 6, 2, 6, 6, 6, 2, 0, 10, 1, 6, 1, 2, 6, 6, 10, 2, 2, 10, 10, 1, 6, 6, 2, 10, 2, 1, 10, 1, 6, 1, 6, 10, 2, 1, 1, 2, 6, 2, 1, 10, 7, 10, 6, 10, 2, 1, 6, 10, 6, 1, 10, 6, 6, 1, 2, 10, 6, 6, 2, 1, 2, 10, 1, 1, 2, 2, 1, 6, 10, 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2, 2, 1, 1, 10, 10, 1, 6, 1, 10, 1, 6, 2, 10, 1, 6, 2, 2, 2, 2, 1, 2, 1, 1, 2, 6, 10, 2, 10, 1, 2, 0, 2, 10, 2, 1, 2, 1, 6, 6, 2, 6, 1, 1, 6, 1, 0, 1, 6, 10, 10, 1, 10, 6, 5, 1, 6, 2, 2, 1, 6, 10, 2, 10, 2, 6, 1, 1, 0, 1, 0, 1, 2, 10, 10, 6, 2, 10, 2, 1, 1, 2, 2, 1, 1, 10, 2, 2, 1, 6, 1, 6, 1, 2, 2, 1, 1, 2, 1, 6, 6, 1, 6, 10, 1, 10, 6, 1, 2, 10, 6, 1, 2, 6, 2, 2, 2, 1, 6, 6, 6, 1, 2, 10, 2, 10, 10, 1, 1, 1, 6, 1, 10, 6, 2, 6, 10, 2, 2, 1, 6, 1, 2, 6, 6, 10, 10, 2, 1, 2, 6, 2, 10, 6, 10, 6, 2, 10, 6, 1, 9, 10, 2, 6, 10, 10, 10, 10, 6, 2, 2, 9, 10, 10, 6, 6, 10, 10, 6, 6, 2, 1, 1, 6, 1, 2, 2, 6, 1, 2, 10, 10, 2, 6, 10, 6, 1, 2, 6, 1, 10, 6, 2, 2, 10, 0, 4, 1, 0, 2, 6, 1, 2, 2, 1, 10, 6, 2, 2, 10, 1, 10, 1, 50, 6, 6, 2, 10, 1, 2, 2, 2, 6, 6, 6, 1, 1, 6, 2, 2, 6, 10, 6, 10, 6, 2, 6, 10, 6, 1, 10, 2, 6, 10, 10, 10, 10, 1, 6, 2, 10, 2, 1, 0, 2, 1, 10, 1, 2, 1, 2, 6, 10, 2, 10, 1, 2, 1, 10, 10, 1, 2, 1, 6, 1, 6, 2, 1, 6, 6, 6, 10, 6, 6, 1, 10, 6, 10, 1, 2, 6, 2, 1, 6, 2, 1, 6, 10, 10, 1, 6, 2, 2, 1, 2, 1, 2, 10, 1, 6, 2, 2, 6, 2, 10, 2, 6, 4, 10, 10, 1, 10, 1, 2, 6, 6, 10, 2, 6, 2, 2, 6, 1, 1, 6, 1, 1, 2, 2, 1, 6, 10, 1, 2, 10, 2, 1, 6, 10, 6, 1, 10, 1, 1, 9, 10, 2, 10, 6, 6, 2, 1, 2, 4, 6, 10, 6, 1, 2, 10, 6, 1, 1, 1, 2, 2, 1, 1, 10, 2, 10, 10, 10, 6, 10, 1, 10, 6, 6, 10, 1, 10, 6, 10, 2, 10, 10, 6, 1, 1, 10, 2, 6, 6, 10, 1, 6, 10, 10, 10, 1, 6, 2, 1, 6, 1, 10, 2, 1, 2, 1, 1, 6, 10, 2, 10, 10, 6, 10, 2, 6, 1, 10, 10, 6, 6, 2, 10, 10, 2, 6, 10, 6, 5, 2, 10, 6, 10, 6, 2, 2, 2, 6, 10, 6, 2, 10, 1, 6, 6, 10, 1, 2, 6, 6, 10, 10, 10, 10, 1, 4, 6, 2, 6, 6, 10, 2, 2, 6, 10, 2, 1, 2, 2, 10, 2, 1, 1, 2, 10, 1, 1, 6, 1, 1, 2, 6, 1, 1, 10, 2, 6, 5, 1, 2, 2, 1, 10, 6, 10, 6, 1, 6, 10, 10, 1, 2, 10, 10, 1, 1, 2, 6, 10, 10, 2, 5, 1, 9, 6, 6, 1, 6, 10, 2, 10, 2, 1, 10, 6, 2, 1, 1, 6, 1, 1, 10, 2, 2, 10, 6, 2, 2, 10, 1, 1, 1, 1, 1, 10, 10, 10, 2, 2, 10, 10, 10, 1, 10, 1, 6, 10, 1, 1, 1, 2, 6, 1, 2, 2, 1, 1, 4, 6, 2, 2, 6, 2, 6, 1, 6, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 6, 1, 10, 2, 6, 6, 2, 2, 6, 10, 2, 2, 2, 10, 6, 10, 1, 2, 10, 2, 1, 2, 10, 1, 6, 2, 1, 10, 1, 1, 6, 10, 6, 2, 6, 2, 2, 10, 1, 1, 2, 10, 10, 10, 10, 1, 10, 6, 6, 10, 6, 1, 1, 6, 2, 10, 2, 1, 6, 1, 10, 10, 10, 6, 6, 10, 1, 1, 1, 6, 2, 6, 10, 1, 2, 6, 6, 1, 6, 1, 6, 10, 6, 6, 1, 6, 10, 2, 10, 6, 5, 2, 10, 1, 1, 2, 10, 1, 1, 1, 1, 6, 10, 1, 1, 10, 10, 2, 6, 6, 6, 6, 2, 10, 4, 6, 6, 10, 6, 6, 1, 1, 6, 10, 2, 1, 2, 1, 6, 5, 10, 6, 10, 2, 2, 10, 10, 10, 2, 2, 1, 10, 9, 1, 10, 1, 2, 1, 10, 2, 1, 6, 0, 2, 1, 10, 2, 6, 2, 6, 2, 6, 6, 10, 10, 2, 1, 1, 10, 6, 2, 6, 2, 1, 1, 2, 6, 2, 1, 6, 1, 2, 6, 1, 6, 6, 1, 1, 1, 2, 1, 6, 1, 1, 10, 2, 1, 1, 2, 10, 6, 6, 2, 2, 2, 6, 6, 10, 1, 1, 1, 10, 1, 2, 10, 10, 2, 6, 1, 6, 6, 2, 6, 6, 6, 10, 2, 2, 1, 10, 1, 1, 2, 10, 6, 10, 2, 6, 2, 6, 2, 1, 6, 1, 6, 6, 1, 6, 2, 1, 6, 2, 6, 2, 2, 1, 1, 2, 2, 2, 6, 2, 5, 1, 10, 1, 10, 1, 10, 6, 1, 2, 1, 10, 2, 6, 1, 9, 2, 6, 6, 2, 6, 1, 6, 1, 6, 2, 2, 1, 2, 10, 1, 6, 6, 1, 10, 1, 2, 6, 10, 6, 10, 10, 1, 6, 10, 0, 1, 10, 2, 6, 6, 1, 1, 2, 10, 10, 2, 10, 6, 1, 6, 10, 1, 1, 1, 6, 1, 10, 10, 6, 1, 6, 2, 10, 6, 6, 1, 10, 10, 10, 6, 1, 6, 1, 1, 10, 1, 10, 10, 6, 2, 2, 6, 2, 10, 1, 6, 10, 2, 1, 10, 1, 6, 10, 6, 6, 6, 6, 1, 6, 2, 1, 10, 10, 6, 6, 1, 6, 2, 6, 2, 10, 10, 10, 10, 4, 0, 6, 6, 2, 2, 6, 6, 10, 2, 10, 1, 6, 10, 10, 10, 6, 10, 2, 1, 1, 6, 2, 6, 6, 6, 2, 1, 2, 4, 1, 6, 10, 2, 10, 10, 1, 6, 6, 10, 1, 6, 10, 2, 1, 6, 1, 6, 6, 1, 1, 6, 2, 1, 2, 1, 2, 6, 10, 1, 2, 1, 2, 2, 10, 2, 6, 1, 2, 10, 2, 6, 2, 1, 1, 2, 1, 10, 1, 10, 2, 6, 10, 2, 1, 2, 1, 1, 10, 10, 10, 6, 6, 6, 6, 1, 2, 6, 10, 10, 1, 6, 6, 10, 10, 6, 6, 2, 1, 6, 10, 2, 1, 9, 6, 10, 1, 6, 2, 10, 6, 1, 0, 1, 1, 2, 4, 0, 2, 2, 10, 1, 6, 10, 1, 6, 1, 6, 1, 1, 2, 1, 1, 2, 1, 6, 2, 1, 1, 6, 6, 6, 2, 1, 2, 6, 6, 2, 2, 1, 2, 1, 1, 9, 1, 4, 10, 2, 1, 2, 6, 1, 1, 6, 6, 1, 6, 6, 1, 10, 6, 6, 0, 2, 1, 2, 10, 6, 10, 2, 2, 10, 2, 2, 1, 1, 6, 1, 1, 10, 6, 2, 6, 6, 6, 2, 10, 2, 1, 10, 10, 2, 6, 10, 1, 6, 10, 1, 2, 6, 10, 1, 2, 6, 6, 6, 6, 2, 2, 6, 2, 6, 2, 6, 2, 6, 10, 6, 10, 2, 1, 2, 1, 6, 10, 6, 6, 1, 10, 10, 6, 1, 1, 6, 6, 1, 1, 6, 10, 2, 2, 10, 10, 10, 10, 10, 10, 2, 2, 2, 1, 2, 1, 10, 2, 1, 2, 2, 2, 2, 2, 10, 10, 6, 2, 2, 2, 1, 1, 10, 2, 10, 6, 6, 1, 1, 6, 1, 2, 1, 6, 6, 2, 2, 6, 6, 10, 6, 10, 2, 2, 0, 6, 10, 1, 2, 10, 2, 1, 1, 2, 2, 6, 1, 1, 6, 6, 2, 6, 10, 6, 2, 10, 10, 2, 6, 1, 2, 6, 2, 2, 6, 1, 1, 6, 2, 10, 6, 10, 6, 1, 10, 2, 6, 2, 7, 10, 10, 2, 1, 1, 10, 2, 10, 6, 1, 10, 10, 10, 2, 2, 1, 6, 6, 6, 2, 6, 1, 2, 2, 1, 1, 10, 10, 1, 10, 6, 2, 2, 10, 10, 10, 4, 6, 6, 1, 6, 10, 2, 6, 1, 1, 10, 4, 6, 10, 6, 2, 2, 2, 6, 2, 10, 9, 1, 6, 6, 6, 1, 6, 2, 1, 6, 6, 6, 2, 10, 10, 1, 1, 6, 6, 10, 10, 6, 6, 10, 2, 10, 10, 2, 6, 6, 6, 1, 2, 6, 1, 2, 10, 6, 6, 6, 1, 1, 2, 2, 10, 2, 2, 1, 1, 10, 1, 2, 1, 2, 6, 10, 6, 10, 1, 1, 2, 6, 2, 10, 6, 6, 2, 2, 2, 6, 10, 2, 6, 1, 6, 1, 1, 1, 10, 10, 6, 10, 1, 2, 10, 10, 10, 1, 6, 10, 2, 10, 1, 10, 10, 1, 2, 10, 10, 2, 10, 2, 1, 4, 1, 6, 6, 2, 1, 2, 6, 2, 1, 6, 10, 6, 6, 1, 1, 6, 10, 1, 6, 4, 6, 2, 6, 10, 10, 1, 2, 6, 10, 2, 6, 6, 6, 10, 10, 2, 6, 2, 6, 1, 1, 6, 10, 10, 10, 10, 6, 0, 1, 10, 2, 1, 1, 2, 10, 6, 2, 10, 2, 6, 10, 2, 2, 6, 6, 10, 2, 10, 6, 6, 10, 10, 6, 1, 6, 10, 10, 1, 2, 10, 2, 1, 10, 1, 2, 2, 6, 1, 0, 2, 2, 6, 10, 6, 6, 2, 1, 6, 2, 6, 6, 50, 2, 2, 6, 0, 2, 1, 2, 6, 2, 6, 1, 2, 1, 6, 6, 2, 6, 2, 6, 2, 1, 10, 10, 10, 1, 10, 2, 10, 2, 2, 1, 6, 6, 6, 6, 2, 6, 2, 10, 6, 2, 6, 2, 6, 6, 10, 10, 6, 2, 1, 10, 1, 1, 10, 2, 6, 10, 1, 10, 10, 1, 10, 2, 1, 6, 2, 2, 5, 1, 6, 2, 10, 10, 6, 10, 6, 6, 6, 6, 2, 10, 6, 6, 1, 10, 10, 1, 2, 9, 1, 1, 9, 6, 10, 0, 10, 1, 2, 6, 10, 1, 10, 10, 1, 2, 4, 9, 1, 6, 2, 2, 2, 10, 1, 1, 1, 10, 2, 10, 10, 10, 1, 6, 1, 2, 1, 6, 2, 1, 1, 1, 10, 6, 10, 6, 1, 2, 6, 6, 2, 6, 10, 10, 10, 6, 5, 2, 6, 6, 1, 1, 1, 1, 6, 2, 2, 1, 2, 10, 1, 2, 1, 6, 10, 10, 10, 2, 10, 1, 10, 10, 1, 10, 1, 10, 1, 6, 1, 6, 0, 1, 6, 10, 1, 2, 6, 2, 1, 10, 10, 10, 2, 6, 1, 6, 6, 1, 10, 10, 2, 1, 1, 1, 6, 6, 6, 2, 6, 2, 2, 2, 1, 2, 2, 1, 6, 6, 1, 10, 6, 6, 9, 10, 6, 1, 10, 1, 6, 1, 1, 10, 10, 6, 10, 5, 2, 2, 6, 2, 1, 1, 10, 6, 2, 6, 10, 6, 2, 10, 10, 10, 6, 2, 10, 10, 2, 1, 1, 1, 1, 10, 2, 2, 10, 1, 10, 2, 6, 2, 10, 10, 2, 1, 5, 6, 10, 6, 1, 2, 6, 2, 4, 10, 1, 2, 10, 5, 2, 1, 2, 6, 1, 10, 2, 5, 1, 1, 10, 2, 10, 10, 4, 10, 6, 2, 6, 1, 6, 2, 2, 2, 10, 10, 1, 2, 2, 10, 2, 6, 10, 6, 1, 10, 2, 2, 1, 2, 1, 10, 10, 1, 4, 10, 2, 6, 10, 10, 6, 1, 1, 2, 6, 4, 2, 1, 2, 6, 10, 1, 1, 10, 10, 10, 1, 2, 2, 10, 10, 4, 10, 2, 2, 6, 6, 6, 10, 6, 1, 10, 5, 2, 10, 2, 6, 1, 6, 6, 6, 1, 10, 10, 10, 6, 1, 1, 10, 6, 1, 1, 10, 1, 10, 9, 2, 10, 6, 1, 6, 2, 6, 10, 2, 2, 10, 2, 6, 10, 1, 6, 10, 6, 6, 2, 2, 10, 6, 6, 2, 2, 6, 6, 2, 1, 2, 2, 2, 2, 6, 6, 2, 1, 2, 1, 10, 1, 2, 6, 6, 6, 10, 1, 5, 1, 1, 1, 1, 6, 1, 1, 1, 10, 10, 6, 10, 9, 1, 5, 4, 2, 2, 2, 1, 6, 2, 2, 1, 2, 2, 6, 2, 10, 1, 6, 2, 1, 1, 10, 2, 6, 2, 6, 10, 10, 6, 2, 2, 2, 10, 6, 2, 6, 10, 6, 2, 6, 2, 5, 1, 2, 10, 1, 2, 1, 1, 10, 6, 1, 1, 2, 10, 6, 1, 10, 2, 6, 10, 2, 10, 1, 10, 10, 10, 2, 2, 10, 1, 1, 1, 0, 5, 10, 10, 1, 6, 2, 2, 10, 2, 6, 1, 9, 10, 10, 6, 2, 6, 10, 6, 10, 2, 10, 10, 1, 2, 6, 1, 6, 1, 1, 6, 1, 10, 10, 1, 1, 2, 10, 10, 1, 1, 1, 6, 2, 10, 2, 2, 6, 2, 10, 10, 6, 6, 6, 0, 10, 6, 1, 1, 10, 6, 2, 1, 2, 6, 2, 2, 10, 1, 10, 9, 6, 10, 10, 1, 6, 10, 6, 6, 1, 1, 1, 10, 6, 1, 10, 2, 10, 6, 1, 1, 10, 6, 10, 10, 2, 6, 1, 6, 10, 1, 2, 0, 2, 10, 2, 2, 2, 0, 6, 1, 10, 2, 1, 1, 2, 6, 6, 1, 2, 1, 6, 6, 6, 10, 10, 2, 2, 2, 6, 2, 6, 2, 6, 4, 2, 1, 2, 0, 2, 0, 6, 2, 10, 10, 10, 9, 2, 1, 10, 10, 2, 10, 10, 6, 10, 1, 2, 10, 6, 2, 2, 2, 2, 6, 6, 10, 2, 1, 10, 9, 2, 10, 1, 2, 10, 6, 6, 3, 10, 2, 1, 1, 1, 10, 2, 10, 6, 10, 6, 2, 2, 6, 1, 6, 2, 2, 0, 10, 6, 6, 10, 10, 10, 1, 6, 1, 10, 10, 1, 1, 1, 2, 2, 2, 10, 2, 6, 2, 10, 2, 2, 10, 6, 6, 6, 2, 6, 1, 1, 1, 1, 10, 2, 6, 1, 6, 10, 10, 1, 1, 6, 10, 10, 2, 1, 6, 0, 6, 2, 2, 10, 1, 10, 2, 1, 2, 10, 1, 10, 10, 6, 5, 1, 10, 2, 1, 1, 6, 2, 2, 1, 6, 2, 10, 2, 1, 10, 2, 1, 2, 10, 10, 10, 2, 5, 2, 1, 10, 1, 2, 1, 6, 1, 10, 6, 2, 2, 1, 10, 6, 6, 10, 6, 2, 6, 1, 1, 10, 10, 10, 6, 2, 2, 1, 6, 2, 10, 2, 2, 10, 1, 10, 10, 10, 1, 2, 2, 6, 6, 1, 6, 2, 6, 10, 6, 1, 10, 5, 10, 10, 0, 2, 1, 1, 10, 10, 10, 6, 10, 2, 1, 6, 2, 6, 1, 6, 10, 2, 2, 10, 10, 6, 1, 10, 2, 6, 1, 4, 6, 6, 10, 1, 2, 2, 2, 1, 2, 1, 10, 2, 2, 2, 2, 10, 6, 10, 2, 6, 1, 6, 10, 2, 6, 4, 6, 6, 2, 10, 1, 2, 10, 2, 10, 10, 6, 5, 2, 1, 1, 10, 1, 2, 0, 6, 2, 10, 6, 6, 6, 2, 6, 10, 6, 2, 10, 2, 10, 1, 6, 6, 1, 2, 6, 2, 2, 1, 1, 1, 10, 2, 2, 1, 1, 6, 6, 1, 2, 2, 6, 2, 1, 6, 2, 2, 10, 1, 10, 10, 1, 1, 10, 6, 6, 2, 6, 10, 1, 1, 1, 6, 1, 2, 10, 1, 1, 10, 6, 6, 6, 1, 10, 1, 1, 1, 6, 6, 1, 6, 6, 1, 1, 10, 1, 10, 10, 6, 6, 6, 6, 6, 1, 6, 10, 6, 1, 1, 2, 10, 10, 10, 1, 10, 5, 6, 2, 4, 2, 1, 2, 1, 1, 6, 1, 10, 10, 10, 10, 10, 4, 1, 1, 1, 1, 6, 1, 9, 2, 1, 2, 10, 10, 9, 10, 2, 2, 6, 2, 2, 1, 2, 1, 10, 6, 10, 10, 10, 6, 10, 10, 2, 1, 2, 6, 0, 6, 6, 2, 2, 6, 6, 6, 2, 2, 1, 1, 2, 2, 10, 2, 6, 10, 2, 2, 10, 2, 10, 6, 6, 6, 2, 1, 10, 6, 6, 1, 10, 0, 2, 2, 2, 10, 2, 1, 6, 10, 2, 1, 10, 6, 2, 1, 2, 6, 1, 10, 1, 1, 10, 6, 10, 6, 6, 1, 6, 10, 10, 6, 1, 1, 6, 10, 1, 6, 1, 2, 2, 3, 10, 2, 2, 2, 1, 1, 2, 2, 6, 1, 10, 1, 1, 1, 10, 2, 1, 1, 10, 10, 1, 1, 10, 2, 2, 10, 1, 1, 10, 10, 6, 10, 1, 6, 1, 10, 6, 10, 2, 10, 9, 10, 2, 10, 6, 6, 10, 9, 10, 2, 10, 1, 6, 6, 2, 2, 6, 6, 10, 1, 0, 6, 6, 2, 2, 10, 0, 10, 6, 1, 6, 1, 2, 5, 1, 10, 2, 1, 2, 1, 10, 10, 10, 1, 2, 2, 6, 10, 2, 6, 6, 1, 1, 1, 1, 6, 10, 1, 2, 2, 1, 10, 10, 1, 6, 10, 1, 10, 2, 6, 1, 1, 10, 10, 1, 1, 10, 2, 1, 6, 6, 2, 2, 6, 2, 6, 6, 4, 5, 6, 6, 60, 6, 2, 10, 2, 10, 1, 2, 1, 1, 1, 6, 1, 6, 10, 6, 10, 10, 1, 10, 4, 2, 6, 2, 10, 1, 2, 6, 2, 1, 1, 2, 6, 10, 1, 2, 6, 10, 6, 6, 10, 10, 1, 10, 1, 2, 2, 1, 1, 2, 10, 2, 2, 10, 6, 10, 9, 6, 10, 2, 1, 2, 10, 1, 6, 2, 6, 2, 6, 2, 10, 10, 6, 2, 10, 10, 10, 10, 6, 10, 2, 2, 1, 2, 1, 10, 1, 10, 6, 1, 2, 10, 9, 1, 10, 1, 10, 1, 2, 2, 2, 10, 1, 6, 6, 1, 6, 2, 2, 10, 10, 2, 2, 1, 2, 10, 6, 6, 1, 10, 10, 6, 10, 6, 1, 2, 2, 2, 1, 1, 1, 1, 6, 1, 10, 2, 10, 1, 1, 1, 6, 1, 1, 1, 6, 2, 10, 6, 6, 1, 6, 10, 1, 6, 2, 2, 2, 6, 10, 1, 10, 6, 6, 10, 10, 6, 10, 1, 1, 1, 1, 10, 10, 6, 10, 1, 2, 2, 6, 1, 6, 6, 0, 6, 6, 2, 2, 1, 6, 2, 1, 6, 2, 6, 10, 2, 10, 10, 10, 10, 1, 0, 2, 6, 2, 2, 10, 2, 2, 6, 2, 10, 6, 6, 9, 2, 10, 6, 2, 2, 2, 5, 10, 6, 10, 10, 10, 6, 1, 4, 10, 1, 6, 6, 1, 6, 10, 0, 10, 1, 1, 1, 6, 1, 1, 6, 6, 10, 2, 10, 1, 6, 2, 2, 2, 1, 1, 1, 10, 1, 10, 6, 1, 2, 1, 10, 6, 6, 2, 10, 10, 2, 1, 6, 2, 6, 10, 6, 10, 2, 6, 6, 10, 10, 6, 1, 2, 2, 6, 6, 2, 2, 2, 1, 1, 2, 6, 1, 2, 10, 2, 1, 10, 6, 10, 10, 6, 1, 2, 1, 1, 2, 2, 1, 10, 1, 6, 5, 2, 6, 10, 2, 10, 10, 6, 6, 2, 6, 2, 10, 1, 2, 6, 5, 6, 2, 1, 5, 1, 9, 2, 2, 2, 6, 1, 2, 10, 1, 1, 2, 1, 2, 1, 6, 2, 10, 1, 2, 10, 2, 6, 6, 10, 6, 2, 2, 1, 2, 6, 2, 1, 1, 1, 2, 10, 10, 2, 1, 6, 2, 2, 2, 2, 1, 6, 1, 6, 1, 6, 10, 10, 10, 2, 10, 2, 1, 2, 6, 1, 1, 6, 10, 10, 6, 1, 1, 6, 1, 2, 1, 2, 10, 10, 10, 1, 10, 1, 10, 2, 10, 10, 1, 10, 6, 1, 1, 2, 6, 1, 10, 10, 10, 1, 6, 1, 2, 6, 10, 1, 1, 0, 6, 10, 2, 2, 2, 9, 1, 10, 6, 1, 2, 1, 6, 10, 6, 1, 1, 1, 10, 10, 10, 1, 2, 6, 10, 2, 6, 6, 2, 1, 0, 10, 10, 10, 1, 2, 5, 1, 6, 10, 10, 6, 1, 10, 2, 2, 6, 10, 6, 2, 10, 2, 6, 1, 6, 2, 10, 10, 6, 6, 2, 1, 1, 1, 6, 10, 2, 6, 0, 6, 2, 1, 6, 2, 6, 1, 10, 1, 1, 6, 4, 1, 2, 10, 6, 6, 2, 1, 2, 1, 2, 1, 6, 1, 6, 6, 6, 6, 2, 10, 10, 10, 2, 2, 6, 2, 1, 6, 10, 6, 2, 10, 6, 6, 10, 10, 6, 2, 6, 6, 2, 10, 1, 1, 2, 10, 1, 10, 6, 6, 1, 10, 9, 2, 1, 1, 6, 2, 2, 1, 6, 10, 1, 1, 6, 6, 7, 2, 6, 10, 6, 1, 6, 10, 6, 6, 4, 6, 1, 2, 6, 6, 6, 1, 10, 2, 10, 0, 10, 10, 6, 10, 10, 2, 1, 2, 10, 1, 6, 1, 1, 6, 1, 2, 10, 6, 10, 6, 2, 6, 6, 2, 6, 1, 1, 2, 6, 10, 1, 10, 3, 6, 2, 1, 9, 10, 2, 6, 2, 6, 10, 1, 2, 6, 10, 6, 1, 6, 10, 6, 2, 1, 1, 1, 1, 6, 6, 6, 1, 1, 1, 1, 6, 6, 1, 10, 2, 2, 1, 10, 5, 10, 6, 2, 2, 2, 2, 6, 10, 2, 6, 1, 10, 6, 6, 2, 6, 2, 1, 2, 1, 1, 1, 6, 2, 6, 6, 1, 6, 2, 2, 10, 10, 2, 6, 1, 2, 2, 2, 2, 2, 1, 6, 10, 10, 1, 9, 2, 1, 10, 1, 10, 2, 10, 2, 1, 10, 2, 10, 1, 0, 2, 6, 10, 6, 10, 10, 10, 1, 2, 10, 1, 2, 10, 1, 1, 1, 2, 2, 1, 1, 1, 2, 6, 2, 2, 6, 2, 6, 2, 10, 1, 1, 6, 6, 6, 6, 1, 6, 2, 10, 6, 10, 1, 1, 0, 1, 1, 2, 6, 6, 1, 2, 0, 6, 6, 10, 6, 2, 1, 10, 2, 10, 1, 2, 10, 0, 2, 2, 2, 6, 10, 2, 2, 6, 6, 6, 10, 2, 2, 2, 1, 6, 2, 10, 2, 4, 1, 6, 6, 2, 10, 2, 10, 6, 10, 1, 2, 6, 1, 7, 2, 6, 2, 2, 6, 2, 6, 1, 1, 1, 6, 2, 1, 10, 2, 1, 6, 1, 2, 6, 0, 2, 2, 10, 1, 6, 1, 2, 2, 2, 10, 4, 10, 10, 10, 1, 6, 10, 1, 10, 6, 10, 10, 10, 10, 9, 6, 6, 6, 9, 2, 6, 2, 6, 1, 2, 1, 2, 2, 2, 1, 2, 2, 6, 6, 6, 6, 2, 6, 6, 10, 2, 6, 2, 2, 6, 2, 1, 10, 1, 2, 6, 1, 10, 2, 2, 10, 2, 6, 6, 10, 10, 6, 6, 6, 10, 10, 1, 1, 6, 10, 1, 2, 1, 1, 1, 2, 1, 6, 10, 10, 1, 2, 10, 2, 6, 10, 2, 6, 6, 6, 2, 5, 10, 6, 1, 6, 2, 1, 0, 2, 6, 2, 10, 6, 1, 2, 2, 10, 10, 1, 6, 6, 6, 6, 10, 6, 6, 10, 1, 1, 1, 2, 2, 6, 1, 1, 2, 6, 2, 6, 10, 6, 6, 10, 2, 10, 1, 1, 2, 6, 1, 2, 6, 4, 2, 10, 6, 1, 10, 2, 1, 2, 1, 1, 10, 1, 6, 10, 2, 2, 1, 2, 10, 6, 10, 6, 6, 2, 1, 2, 4, 1, 1, 2, 6, 10, 2, 2, 5, 10, 6, 0, 1, 6, 6, 2, 6, 1, 6, 1, 1, 5, 2, 2, 1, 6, 10, 10, 10, 10, 1, 10, 1, 1, 2, 1, 6, 10, 1, 6, 10, 1, 10, 6, 1, 6, 1, 10, 2, 1, 9, 1, 2, 2, 1, 10, 1, 10, 1, 2, 2, 4, 6, 2, 10, 6, 1, 2, 4, 1, 1, 6, 6, 10, 2, 1, 2, 10, 10, 10, 1, 6, 6, 6, 6, 6, 1, 10, 10, 10, 10, 10, 10, 2, 6, 6, 10, 10, 2, 6, 10, 10, 6, 1, 1, 1, 6, 1, 6, 1, 6, 10, 6, 2, 2, 1, 10, 1, 2, 1, 1, 10, 1, 2, 10, 1, 6, 6, 10, 2, 10, 2, 1, 0, 2, 2, 2, 2, 6, 1, 10, 2, 1, 10, 10, 6, 1, 10, 1, 1, 2, 1, 10, 2, 10, 10, 1, 2, 9, 9, 10, 10, 6, 2, 0, 2, 10, 10, 10, 6, 6, 10, 10, 6, 2, 10, 2, 6, 6, 6, 10, 1, 10, 10, 2, 6, 2, 2, 6, 9, 6, 2, 2, 10, 10, 1, 1, 6, 1, 1, 2, 2, 10, 1, 2, 6, 6, 1, 2, 1, 6, 2, 6, 2, 1, 1, 6, 2, 2, 1, 2, 10, 1, 2, 6, 1, 6, 1, 6, 6, 1, 1, 1, 10, 1, 10, 2, 1, 9, 2, 1, 10, 1, 2, 6, 10, 6, 2, 2, 6, 1, 2, 6, 1, 6, 6, 6, 1, 10, 2, 6, 6, 10, 9, 2, 1, 10, 6, 6, 2, 2, 6, 10, 1, 2, 1, 1, 10, 1, 1, 2, 2, 2, 2, 2, 6, 6, 1, 2, 6, 6, 10, 6, 6, 10, 6, 10, 10, 2, 2, 10, 2, 2, 6, 1, 10, 6, 1, 6, 2, 2, 10, 2, 2, 2, 1, 10, 2, 2, 6, 2, 2, 6, 1, 6, 2, 1, 6, 6, 1, 2, 10, 6, 10, 6, 2, 6, 1, 6, 2, 1, 1, 1, 6, 10, 2, 1, 1, 1, 1, 6, 1, 6, 2, 4, 6, 1, 1, 10, 2, 6, 2, 1, 6, 6, 2, 10, 10, 1, 1, 2, 1, 10, 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2, 1, 6, 6, 10, 6, 2, 6, 10, 1, 2, 10, 6, 10, 6, 10, 6, 2, 6, 2, 2, 6, 6, 2, 10, 2, 2, 10, 10, 10, 2, 1, 6, 10, 10, 6, 1, 2, 6, 6, 2, 6, 1, 6, 2, 10, 2, 10, 2, 10, 1, 2, 1, 10, 6, 6, 0, 6, 2, 2, 6, 2, 10, 6, 6, 1, 1, 2, 2, 1, 10, 1, 6, 10, 1, 10, 2, 10, 10, 1, 1, 6, 10, 10, 6, 6, 10, 10, 2, 2, 2, 2, 10, 6, 6, 1, 6, 6, 1, 6, 1, 10, 1, 1, 1, 10, 1, 10, 10, 10, 1, 2, 6, 10, 10, 6, 2, 10, 6, 1, 2, 6, 2, 6, 1, 1, 2, 1, 2, 1, 10, 10, 2, 10, 6, 6, 2, 2, 10, 2, 6, 0, 10, 6, 2, 2, 6, 10, 4, 2, 2, 1, 2, 1, 2, 1, 10, 1, 10, 1, 2, 2, 6, 2, 2, 6, 1, 4, 2, 6, 1, 1, 10, 6, 1, 2, 10, 1, 10, 1, 1, 1, 6, 1, 6, 2, 6, 6, 2, 1, 10, 5, 6, 1, 10, 6, 1, 6, 1, 1, 1, 2, 0, 6, 6, 1, 6, 6, 2, 1, 10, 1, 4, 6, 1, 1, 1, 2, 10, 1, 10, 10, 2, 2, 2, 1, 2, 2, 6, 2, 6, 10, 1, 2, 10, 10, 6, 2, 6, 6, 2, 2, 1, 9, 2, 2, 6, 2, 1, 1, 6, 1, 10, 2, 6, 6, 1, 2, 10, 6, 2, 2, 1, 10, 6, 10, 1, 2, 1, 2, 10, 10, 6, 1, 2, 10, 10, 6, 6, 1, 2, 10, 6, 1, 4, 1, 2, 1, 10, 2, 6, 2, 1, 1, 1, 1, 2, 1, 6, 6, 6, 2, 2, 2, 2, 10, 6, 1, 1, 10, 10, 2, 1, 6, 1, 1, 10, 10, 1, 2, 10, 2, 10, 2, 10, 10, 2, 10, 1, 6, 10, 1, 10, 1, 10, 6, 2, 6, 1, 1, 2, 10, 10, 1, 6, 1, 10, 1, 1, 6, 2, 2, 6, 6, 6, 10, 2, 6, 10, 2, 2, 1, 6, 6, 2, 6, 1, 1, 6, 2, 1, 6, 10, 10, 6, 6, 10, 2, 10, 2, 1, 6, 10, 6, 1, 6, 2, 2, 1, 2, 2, 10, 1, 6, 1, 2, 2, 6, 1, 2, 1, 6, 1, 5, 6, 6, 2, 5, 10, 10, 10, 1, 6, 1, 10, 10, 2, 2, 10, 6, 6, 6, 2, 2, 2, 1, 10, 2, 6, 10, 1, 10, 6, 10, 6, 1, 6, 1, 10, 6, 10, 6, 1, 10, 4, 9, 1, 2, 1, 10, 1, 2, 6, 6, 2, 2, 10, 1, 1, 10, 6, 1, 10, 10, 6, 4, 1, 6, 2, 5, 2, 6, 2, 4, 10, 1, 1, 1, 1, 2, 2, 4, 1, 1, 1, 2, 1, 10, 1, 10, 1, 6, 1, 2, 10, 1, 1, 6, 10, 6, 1, 2, 6, 6, 1, 1, 2, 10, 6, 10, 6, 1, 2, 10, 10, 2, 2, 2, 10, 6, 1, 10, 1, 6, 10, 4, 2, 6, 0, 1, 1, 6, 6, 2, 6, 10, 6, 10, 2, 10, 1, 1, 10, 1, 10, 10, 10, 1, 1, 10, 1, 2, 1, 6, 2, 10, 10, 2, 1, 6, 1, 2, 1, 6, 6, 6, 2, 2, 6, 6, 10, 6, 10, 1, 6, 6, 6, 6, 10, 2, 2, 10, 6, 10, 6, 2, 10, 6, 2, 10, 2, 2, 1, 1, 40, 9, 10, 2, 2, 10, 10, 10, 6, 2, 10, 10, 1, 10, 1, 6, 2, 6, 6, 6, 10, 6, 1, 6, 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6, 6, 1, 1, 6, 10, 6, 6, 1, 1, 6, 1, 2, 2, 6, 6, 10, 6, 6, 1, 1, 1, 1, 2, 6, 10, 2, 6, 10, 6, 2, 6, 10, 1, 2, 2, 1, 2, 1, 10, 1, 6, 1, 10, 1, 1, 9, 1, 10, 2, 6, 10, 10, 6, 4, 10, 6, 4, 6, 6, 1, 10, 1, 2, 10, 2, 10, 2, 6, 1, 6, 6, 1, 2, 6, 1, 1, 2, 10, 6, 2, 1, 6, 1, 2, 10, 2, 1, 1, 1, 2, 2, 1, 10, 10, 2, 1, 1, 1, 1, 2, 1, 10, 2, 2, 1, 6, 1, 10, 1, 6, 1, 6, 10, 1, 6, 2, 0, 1, 6, 2, 50, 10, 2, 4, 10, 6, 1, 10, 9, 6, 10, 1, 1, 10, 1, 2, 1, 6, 1, 2, 10, 10, 1, 10, 1, 2, 10, 10, 9, 6, 10, 10, 2, 1, 0, 1, 1, 10, 10, 6, 10, 1, 6, 1, 1, 1, 6, 1, 2, 10, 6, 2, 2, 1, 6, 10, 6, 2, 1, 10, 1, 6, 1, 6, 6, 2, 1, 1, 2, 2, 2, 1, 6, 10, 2, 2, 10, 6, 6, 1, 1, 10, 10, 1, 2, 6, 1, 6, 1, 1, 2, 1, 10, 6, 1, 2, 5, 2, 6, 2, 2, 6, 2, 9, 6, 6, 6, 2, 6, 2, 10, 6, 10, 10, 6, 6, 1, 2, 2, 1, 10, 1, 6, 1, 2, 10, 2, 10, 6, 10, 2, 1, 2, 10, 2, 1, 1, 6, 10, 1, 10, 10, 10, 1, 1, 1, 2, 6, 6, 2, 10, 0, 6, 10, 6, 2, 1, 10, 2, 6, 6, 6, 6, 6, 2, 1, 6, 1, 6, 2, 2, 6, 10, 2, 6, 6, 6, 2, 1, 2, 6, 1, 1, 2, 1, 2, 6, 10, 10, 5, 1, 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2, 1, 1, 6, 9, 2, 10, 2, 2, 6, 6, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 6, 10, 1, 6, 10, 2, 2, 10, 1, 1, 10, 10, 6, 6, 1, 2, 10, 10, 1, 2, 1, 6, 2, 1, 10, 2, 0, 2, 6, 10, 10, 6, 2, 2, 6, 10, 6, 10, 6, 6, 1, 1, 2, 6, 5, 1, 2, 10, 6, 1, 10, 1, 10, 6, 10, 6, 10, 2, 6, 2, 1, 6, 6, 10, 6, 2, 10, 6, 6, 1, 10, 6, 1, 6, 6, 2, 2, 2, 10, 10, 10, 10, 10, 10, 6, 1, 10, 2, 2, 2, 6, 1, 2, 6, 9, 10, 2, 2, 1, 0, 1, 6, 2, 2, 6, 10, 5, 6, 6, 1, 1, 2, 6, 1, 2, 9, 10, 10, 1, 6, 1, 1, 1, 1, 1, 10, 6, 2, 10, 6, 10, 6, 6, 1, 10, 6, 2, 1, 10, 6, 10, 2, 1, 1, 10, 6, 1, 6, 2, 2, 2, 10, 2, 1, 10, 6, 1, 10, 2, 4, 2, 10, 1, 10, 2, 6, 10, 10, 10, 1, 10, 10, 6, 2, 6, 2, 10, 10, 2, 10, 1, 1, 2, 10, 10, 1, 1, 2, 2, 10, 10, 2, 1, 1, 10, 1, 10, 10, 10, 10, 2, 6, 9, 10, 10, 6, 1, 6, 1, 1, 1, 1, 10, 6, 5, 5, 6, 2, 1, 10, 2, 2, 6, 2, 10, 2, 6, 1, 2, 6, 9, 6, 2, 2, 1, 6, 1, 6, 10, 10, 1, 1, 1, 2, 10, 10, 6, 10, 1, 10, 2, 1, 1, 6, 10, 1, 10, 5, 9, 2, 1, 2, 1, 2, 9, 1, 1, 1, 6, 6, 10, 1, 1, 1, 10, 1, 1, 1, 2, 10, 6, 2, 2, 10, 10, 10, 6, 2, 6, 2, 2, 6, 1, 10, 2, 1, 1, 1, 10, 1, 1, 1, 6, 2, 10, 1, 6, 2, 1, 10, 10, 2, 6, 2, 6, 6, 10, 6, 6, 10, 2, 6, 6, 2, 2, 6, 6, 1, 2, 2, 9, 10, 1, 1, 6, 6, 2, 10, 1, 10, 6, 1, 10, 2, 2, 2, 10, 6, 6, 2, 10, 2, 1, 2, 30, 2, 6, 2, 6, 6, 6, 1, 10, 1, 2, 2, 2, 2, 1, 2, 6, 2, 6, 1, 0, 1, 1, 10, 10, 10, 2, 1, 1, 10, 1, 6, 6, 6, 10, 9, 1, 6, 1, 6, 6, 6, 1, 1, 10, 1, 2, 6, 10, 1, 1, 2, 6, 10, 10, 10, 2, 1, 6, 6, 10, 2, 1, 10, 10, 1, 2, 2, 2, 1, 5, 6, 10, 10, 6, 2, 2, 10, 1, 10, 10, 2, 10, 2, 10, 2, 2, 6, 10, 6, 2, 2, 2, 10, 2, 1, 10, 10, 1, 6, 1, 6, 10, 1, 10, 2, 1, 0, 1, 9, 10, 10, 10, 2, 1, 1, 10, 6, 1, 0, 6, 6, 6, 2, 1, 10, 10, 10, 1, 1, 6, 2, 10, 6, 6, 6, 1, 6, 10, 1, 2, 10, 2, 1, 2, 10, 2, 6, 6, 10, 1, 2, 10, 6, 6, 6, 2, 2, 1, 0, 1, 10, 10, 2, 1, 10, 2, 1, 10, 10, 2, 6, 2, 6, 1, 2, 1, 2, 10, 2, 10, 10, 2, 2, 2, 10, 10, 10, 6, 6, 2, 2, 1, 0, 10, 6, 1, 1, 6, 6, 6, 6, 10, 6, 6, 1, 1, 6, 1, 1, 6, 1, 10, 1, 10, 1, 2, 2, 10, 10, 2, 1, 6, 6, 2, 10, 6, 6, 6, 6, 2, 1, 6, 1, 1, 2, 10, 10, 6, 10, 9, 6, 10, 6, 2, 10, 1, 10, 6, 1, 10, 6, 5, 2, 2, 2, 2, 2, 1, 1, 0, 6, 1, 2, 10, 1, 10, 10, 1, 10, 6, 10, 6, 10, 1, 6, 6, 60, 6, 6, 6, 2, 10, 1, 6, 10, 1, 2, 1, 2, 6, 2, 1, 6, 1, 1, 1, 10, 6, 6, 10, 2, 1, 6, 2, 1, 10, 2, 6, 1, 2, 1, 2, 6, 10, 10, 2, 10, 10, 5, 6, 1, 2, 6, 2, 10, 1, 10, 4, 1, 1, 2, 2, 2, 2, 6, 1, 10, 1, 1, 10, 6, 1, 1, 1, 1, 5, 10, 1, 2, 1, 6, 1, 1, 2, 6, 6, 6, 10, 10, 6, 2, 10, 1, 6, 6, 10, 1, 10, 10, 1, 1, 2, 6, 10, 2, 1, 2, 2, 1, 10, 2, 9, 1, 6, 1, 10, 2, 0, 10, 1, 2, 6, 6, 1, 2, 10, 10, 9, 10, 2, 1, 1, 2, 2, 6, 6, 2, 2, 10, 2, 10, 2, 6, 2, 1, 1, 10, 10, 6, 1, 2, 6, 10, 10, 2, 10, 2, 1, 6, 6, 10, 1, 10, 10, 2, 1, 2, 2, 10, 1, 2, 6, 1, 10, 6, 5, 6, 6, 6, 6, 2, 2, 2, 1, 1, 6, 6, 10, 9, 1, 1, 6, 2, 10, 10, 10, 1, 1, 10, 2, 10, 10, 6, 10, 2, 5, 1, 1, 10, 1, 6, 1, 2, 10, 2, 10, 10, 10, 6, 1, 6, 2, 6, 6, 10, 1, 2, 2, 1, 2, 6, 10, 6, 6, 1, 1, 6, 2, 10, 6, 1, 2, 10, 1, 1, 6, 6, 6, 2, 10, 2, 1, 1, 1, 10, 2, 1, 6, 2, 1, 10, 1, 1, 2, 2, 10, 6, 6, 10, 6, 1, 6, 2, 2, 10, 2, 2, 2, 1, 1, 2, 10, 2, 10, 10, 1, 1, 6, 2, 1, 10, 1, 1, 2, 6, 2, 6, 10, 6, 2, 10, 10, 2, 2, 1, 6, 2, 10, 2, 10, 2, 1, 1, 10, 2, 10, 10, 2, 6, 10, 10, 6, 10, 6, 2, 2, 10, 2, 0, 10, 1, 2, 2, 10, 10, 6, 10, 1, 1, 2, 6, 2, 2, 10, 10, 10, 2, 1, 2, 6, 10, 10, 1, 6, 6, 10, 10, 6, 1, 1, 6, 2, 1, 2, 1, 1, 1, 2, 1, 6, 1, 2, 1, 6, 6, 1, 6, 1, 4, 10, 2, 1, 1, 2, 6, 1, 1, 6, 6, 1, 10, 6, 1, 6, 1, 6, 10, 2, 10, 6, 6, 1, 10, 1, 10, 6, 6, 1, 6, 2, 1, 2, 10, 1, 2, 10, 5, 1, 2, 10, 2, 6, 2, 1, 2, 10, 6, 4, 6, 6, 6, 1, 1, 10, 1, 10, 6, 1, 6, 2, 1, 1, 2, 10, 10, 10, 2, 10, 6, 6, 6, 10, 6, 2, 10, 1, 0, 6, 10, 10, 2, 2, 10, 2, 1, 1, 2, 10, 1, 6, 1, 1, 2, 6, 1, 6, 2, 6, 1, 1, 1, 6, 1, 1, 6, 2, 6, 10, 2, 10, 6, 10, 6, 2, 6, 1, 6, 1, 2, 2, 10, 10, 10, 6, 6, 2, 6, 2, 1, 10, 4, 10, 6, 1, 1, 1, 6, 1, 10, 6, 1, 10, 6, 6, 10, 10, 1, 1, 10, 10, 1, 2, 1, 10, 10, 6, 6, 1, 10, 6, 2, 6, 10, 10, 1, 2, 6, 1, 2, 1, 1, 6, 1, 6, 6, 2, 6, 1, 10, 10, 1, 1, 2, 2, 10, 1, 10, 6, 2, 0, 2, 1, 1, 10, 1, 2, 6, 6, 1, 10, 1, 1, 10, 2, 2, 6, 6, 2, 6, 6, 2, 6, 9, 2, 6, 2, 6, 1, 2, 6, 1, 2, 1, 2, 10, 10, 1, 2, 10, 1, 10, 1, 10, 2, 6, 4, 1, 2, 2, 6, 2, 1, 6, 10, 10, 6, 10, 10, 1, 6, 6, 1, 6, 0, 6, 10, 1, 6, 2, 1, 10, 2, 2, 6, 6, 10, 6, 2, 5, 6, 1, 6, 2, 1, 1, 6, 2, 10, 10, 10, 10, 1, 10, 2, 6, 6, 1, 6, 1, 6, 6, 1, 6, 6, 10, 6, 6, 10, 6, 2, 6, 10, 4, 6, 6, 10, 1, 2, 2, 0, 2, 6, 60, 6, 10, 2, 6, 2, 10, 10, 6, 2, 10, 10, 1, 6, 1, 1, 1, 6, 6, 1, 10, 9, 2, 6, 6, 10, 2, 1, 2, 6, 10, 6, 4, 10, 6, 6, 2, 2, 1, 2, 1, 10, 10, 2, 6, 1, 1, 6, 10, 6, 10, 1, 2, 10, 10, 2, 1, 2, 10, 10, 6, 9, 10, 6, 1, 6, 10, 2, 10, 10, 6, 6, 10, 1, 1, 1, 6, 2, 1, 6, 2, 10, 10, 6, 1, 6, 1, 10, 10, 10, 1, 1, 1, 1, 10, 1, 2, 10, 6, 2, 6, 10, 10, 2, 2, 6, 6, 1, 2, 10, 10, 1, 10, 2, 10, 6, 2, 1, 10, 6, 2, 1, 10, 6, 1, 6, 6, 2, 2, 9, 2, 1, 10, 6, 6, 6, 10, 10, 6, 6, 6, 1, 1, 1, 10, 10, 2, 10, 2, 6, 1, 5, 1, 1, 10, 10, 6, 6, 10, 1, 1, 10, 10, 10, 6, 10, 2, 6, 1, 10, 2, 6, 1, 2, 10, 6, 1, 10, 6, 2, 10, 5, 1, 10, 1, 1, 10, 1, 6, 10, 1, 2, 10, 2, 2, 10, 2, 2, 6, 6, 10, 10, 10, 6, 10, 2, 2, 10, 1, 6, 10, 6, 1, 1, 6, 2, 1, 5, 6, 1, 1, 2, 1, 1, 1, 1, 6, 1, 1, 1, 1, 2, 2, 2, 1, 2, 6, 6, 10, 6, 1, 2, 2, 1, 4, 1, 6, 6, 2, 1, 1, 10, 2, 2, 2, 6, 10, 10, 6, 10, 1, 6, 1, 6, 2, 10, 4, 1, 10, 6, 6, 10, 6, 2, 9, 1, 6, 10, 1, 1, 10, 2, 10, 10, 6, 1, 2, 6, 4, 10, 6, 1, 6, 10, 10, 1, 10, 1, 2, 10, 6, 6, 10, 1, 1, 6, 6, 10, 6, 6, 10, 1, 1, 6, 10, 10, 1, 10, 6, 10, 2, 10, 1, 2, 10, 1, 2, 10, 2, 1, 1, 2, 1, 6, 10, 2, 6, 6, 1, 6, 10, 2, 10, 6, 10, 10, 2, 1, 1, 1, 2, 2, 2, 1, 2, 6, 1, 2, 2, 1, 10, 10, 10, 1, 2, 10, 1, 2, 6, 0, 0, 6, 4, 0, 10, 1, 6, 2, 1, 6, 10, 2, 6, 2, 10, 2, 10, 1, 1, 1, 1, 4, 2, 2, 2, 2, 6, 6, 9, 6, 5, 4, 1, 10, 2, 10, 2, 1, 2, 10, 2, 10, 9, 1, 10, 1, 6, 1, 2, 2, 1, 2, 2, 1, 10, 6, 2, 2, 1, 6, 2, 10, 6, 6, 10, 6, 10, 10, 6, 6, 1, 6, 2, 1, 2, 10, 5, 2, 10, 1, 6, 2, 1, 6, 2, 6, 6, 2, 2, 10, 1, 2, 10, 2, 1, 2, 10, 6, 10, 1, 2, 1, 2, 10, 10, 2, 6, 10, 10, 1, 6, 6, 2, 2, 1, 10, 1, 10, 2, 2, 1, 6, 1, 1, 2, 10, 6, 6, 5, 6, 2, 2, 10, 10, 2, 2, 1, 6, 6, 2, 2, 10, 6, 2, 6, 1, 10, 1, 2, 6, 10, 6, 6, 1, 4, 6, 10, 1, 10, 10, 0, 10, 6, 1, 6, 6, 6, 10, 1, 2, 6, 6, 10, 10, 6, 2, 10, 6, 6, 10, 10, 2, 10, 1, 1, 10, 2, 1, 6, 1, 6, 2, 10, 10, 10, 5, 2, 10, 6, 1, 0, 10, 2, 10, 2, 0, 6, 1, 6, 6, 2, 6, 6, 10, 6, 1, 10, 6, 6, 5, 10, 6, 10, 10, 6, 10, 1, 2, 1, 2, 2, 9, 10, 6, 2, 10, 6, 1, 6, 2, 2, 10, 10, 10, 6, 6, 10, 1, 0, 6, 6, 2, 2, 2, 2, 6, 10, 2, 6, 10, 6, 2, 10, 1, 10, 10, 10, 10, 2, 2, 1, 6, 1, 10, 2, 2, 10, 6, 0, 10, 2, 10, 10, 10, 6, 1, 10, 6, 10, 2, 6, 10, 2, 10, 1, 1, 2, 10, 2, 6, 10, 2, 10, 2, 1, 2, 2, 1, 9, 10, 6, 6, 10, 6, 10, 2, 1, 2, 6, 2, 1, 2, 1, 1, 2, 6, 1, 10, 6, 10, 6, 2, 6, 10, 1, 1, 1, 2, 2, 10, 10, 10, 5, 2, 6, 10, 1, 1, 10, 1, 2, 6, 10, 2, 1, 10, 6, 10, 10, 6, 1, 2, 6, 10, 10, 1, 2, 0, 6, 1, 2, 6, 2, 6, 1, 10, 2, 10, 2, 1, 1, 10, 2, 2, 2, 1, 10, 6, 6, 6, 10, 6, 6, 6, 2, 2, 1, 10, 1, 6, 1, 6, 1, 2, 1, 1, 10, 2, 10, 10, 1, 6, 2, 6, 5, 1, 10, 10, 1, 2, 10, 2, 6, 6, 6, 1, 10, 10, 6, 1, 2, 2, 2, 1, 6, 10, 10, 10, 2, 10, 10, 10, 1, 2, 10, 6, 10, 1, 6, 2, 6, 1, 6, 6, 1, 6, 2, 1, 1, 1, 6, 10, 6, 10, 2, 6, 1, 1, 6, 2, 2, 6, 10, 4, 6, 40, 6, 6, 10, 2, 6, 2, 1, 1, 2, 6, 10, 1, 6, 2, 1, 1, 1, 1, 6, 10, 2, 6, 1, 10, 6, 2, 0, 10, 10, 1, 10, 6, 10, 10, 2, 2, 6, 1, 6, 6, 10, 2, 2, 1, 2, 10, 1, 10, 2, 2, 2, 6, 2, 10, 10, 10, 2, 1, 2, 2, 1, 6, 2, 10, 2, 1, 10, 6, 2, 1, 6, 1, 6, 10, 6, 6, 6, 2, 1, 10, 6, 1, 10, 1, 2, 6, 2, 10, 2, 1, 6, 10, 10, 2, 1, 6, 1, 10, 1, 6, 2, 2, 1, 2, 2, 2, 2, 10, 2, 0, 2, 10, 2, 10, 2, 2, 1, 1, 6, 6, 2, 6, 1, 6, 10, 5, 1, 6, 2, 10, 10, 1, 1, 6, 2, 1, 1, 6, 6, 6, 10, 6, 9, 2, 1, 1, 2, 10, 2, 1, 6, 1, 6, 1, 1, 2, 6, 2, 1, 6, 6, 6, 10, 2, 4, 10, 2, 6, 6, 10, 6, 10, 1, 2, 10, 2, 10, 10, 1, 1, 1, 1, 10, 2, 6, 2, 10, 2, 6, 1, 6, 10, 6, 10, 1, 10, 10, 1, 6, 10, 2, 1, 1, 10, 6, 10, 1, 2, 10, 6, 6, 2, 6, 2, 2, 10, 10, 1, 1, 2, 2, 2, 2, 10, 1, 10, 2, 10, 2, 10, 10, 6, 2, 2, 10, 5, 6, 2, 10, 6, 2, 2, 1, 2, 1, 6, 2, 1, 10, 6, 6, 10, 6, 6, 1, 2, 10, 1, 1, 6, 1, 6, 2, 1, 10, 10, 5, 1, 6, 6, 2, 10, 6, 5, 2, 6, 0, 2, 2, 1, 2, 10, 6, 2, 2, 10, 2, 1, 6, 2, 6, 10, 1, 6, 6, 2, 2, 6, 2, 6, 6, 10, 2, 10, 1, 10, 1, 6, 1, 6, 1, 2, 10, 10, 10, 1, 2, 10, 6, 2, 10, 1, 1, 10, 1, 0, 10, 2, 10, 9, 10, 10, 2, 2, 2, 2, 2, 2, 10, 6, 10, 2, 10, 6, 1, 9, 1, 10, 2, 6, 10, 2, 1, 2, 2, 6, 2, 2, 6, 2, 1, 10, 6, 10, 2, 1, 2, 2, 1, 6, 6, 6, 1, 6, 6, 10, 1, 1, 1, 10, 10, 1, 2, 1, 10, 10, 1, 6, 6, 6, 2, 10, 2, 2, 6, 5, 6, 1, 6, 6, 2, 1, 2, 0, 10, 9, 4, 10, 0, 10, 6, 1, 5, 1, 1, 6, 10, 2, 2, 1, 6, 2, 10, 1, 2, 2, 2, 2, 6, 10, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 10, 10, 10, 10, 1, 2, 10, 1, 6, 2, 6, 10, 2, 1, 10, 2, 2, 6, 1, 6, 2, 10, 6, 1, 10, 10, 0, 10, 10, 2, 2, 6, 2, 6, 6, 1, 2, 1, 40, 2, 2, 6, 1, 1, 2, 10, 10, 6, 10, 10, 2, 6, 10, 10, 2, 10, 2, 6, 10, 10, 2, 6, 10, 2, 1, 10, 1, 1, 6, 6, 6, 2, 5, 10, 2, 10, 2, 6, 1, 1, 6, 2, 1, 1, 2, 6, 1, 6, 1, 10, 6, 6, 2, 1, 2, 1, 2, 10, 2, 10, 6, 1, 10, 10, 2, 10, 6, 10, 1, 9, 6, 1, 10, 6, 6, 2, 10, 6, 10, 10, 10, 2, 2, 2, 2, 10, 2, 5, 10, 2, 1, 5, 1, 6, 10, 2, 2, 10, 1, 6, 1, 2, 6, 2, 1, 10, 2, 2, 2, 10, 6, 5, 1, 10, 2, 6, 2, 2, 6, 6, 2, 1, 1, 1, 2, 6, 6, 1, 2, 10, 1, 6, 10, 6, 1, 2, 6, 6, 2, 2, 10, 10, 1, 2, 10, 1, 10, 2, 6, 10, 10, 10, 6, 2, 6, 10, 10, 6, 10, 10, 10, 6, 6, 1, 10, 10, 2, 1, 1, 6, 1, 6, 2, 4, 2, 6, 2, 10, 2, 2, 10, 10, 6, 10, 10, 1, 10, 6, 5, 10, 6, 10, 2, 2, 10, 1, 2, 2, 2, 1, 6, 6, 6, 6, 2, 10, 6, 2, 2, 10, 6, 10, 6, 1, 2, 1, 6, 2, 2, 2, 10, 1, 10, 6, 5, 1, 9, 6, 1, 1, 10, 9, 10, 6, 6, 1, 6, 6, 10, 10, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 10, 2, 10, 10, 10, 2, 6, 1, 1, 1, 1, 10, 2, 2, 1, 2, 1, 1, 1, 1, 6, 2, 10, 6, 6, 10, 10, 6, 10, 10, 6, 2, 1, 6, 10, 2, 5, 6, 6, 1, 1, 6, 9, 1, 1, 6, 1, 1, 1, 6, 1, 6, 10, 6, 6, 1, 1, 6, 1, 6, 1, 2, 10, 10, 2, 1, 2, 10, 6, 6, 1, 6, 2, 2, 6, 6, 1, 5, 6, 2, 1, 2, 1, 10, 10, 1, 6, 6, 2, 1, 1, 1, 6, 1, 2, 1, 2, 10, 10, 10, 6, 2, 6, 6, 6, 1, 1, 6, 2, 1, 2, 1, 6, 6, 6, 1, 10, 10, 1, 2, 2, 1, 10, 1, 6, 1, 6, 2, 2, 2, 1, 2, 1, 2, 6, 6, 10, 10, 2, 10, 6, 10, 10, 1, 1, 1, 6, 1, 10, 2, 2, 6, 6, 6, 2, 10, 10, 6, 1, 6, 2, 1, 6, 1, 1, 2, 6, 1, 6, 10, 2, 2, 6, 1, 10, 1, 2, 6, 6, 10, 10, 1, 6, 10, 1, 2, 2, 2, 2, 10, 2, 6, 6, 1, 4, 6, 2, 2, 6, 6, 6, 2, 2, 1, 2, 0, 1, 10, 2, 2, 6, 6, 10, 10, 1, 1, 6, 2, 2, 10, 1, 1, 6, 1, 10, 1, 2, 6, 6, 2, 10, 6, 10, 1, 2, 10, 6, 4, 2, 6, 10, 10, 2, 1, 2, 6, 0, 2, 10, 6, 6, 6, 1, 10, 1, 1, 1, 6, 6, 10, 10, 6, 2, 10, 6, 6, 6, 10, 1, 6, 2, 1, 6, 1, 2, 10, 10, 2, 2, 2, 10, 2, 6, 2, 6, 10, 10, 1, 10, 10, 10, 1, 2, 1, 2, 10, 2, 6, 1, 2, 6, 2, 2, 2, 6, 6, 2, 10, 6, 10, 6, 2, 2, 6, 6, 10, 10, 1, 1, 1, 2, 2, 1, 2, 1, 6, 1, 10, 1, 2, 10, 10, 10, 10, 6, 10, 10, 6, 10, 4, 6, 6, 6, 2, 10, 1, 10, 6, 10, 2, 6, 10, 2, 10, 6, 1, 10, 1, 6, 6, 1, 2, 1, 2, 40, 2, 2, 2, 1, 2, 10, 10, 1, 1, 2, 6, 4, 6, 6, 10, 10, 10, 1, 10, 10, 1, 1, 6, 2, 2, 10, 10, 2, 6, 1, 6, 1, 6, 2, 10, 6, 6, 1, 10, 2, 10, 6, 2, 2, 2, 9, 10, 2, 10, 1, 6, 1, 6, 2, 6, 1, 6, 1, 10, 10, 1, 2, 1, 2, 2, 1, 2, 6, 1, 6, 2, 1, 6, 1, 10, 6, 10, 4, 10, 10, 1, 1, 1, 10, 6, 2, 2, 2, 6, 6, 6, 2, 10, 2, 6, 6, 6, 10, 1, 2, 2, 6, 10, 6, 2, 2, 10, 10, 2, 6, 2, 6, 2, 10, 6, 6, 2, 5, 1, 10, 1, 1, 2, 10, 10, 6, 1, 10, 6, 10, 10, 1, 2, 10, 10, 6, 10, 1, 2, 1, 2, 2, 10, 1, 6, 1, 1, 10, 2, 10, 1, 10, 1, 2, 1, 10, 4, 10, 2, 2, 6, 1, 1, 2, 1, 10, 10, 9, 6, 10, 10, 6, 10, 1, 10, 10, 1, 2, 2, 2, 2, 6, 2, 2, 9, 6, 10, 2, 2, 6, 1, 2, 2, 10, 10, 10, 6, 10, 10, 1, 1, 2, 0, 2, 10, 1, 1, 2, 6, 10, 10, 2, 10, 7, 6, 10, 10, 2, 10, 2, 1, 10, 10, 0, 10, 1, 2, 6, 1, 2, 6, 6, 6, 6, 6, 10, 1, 1, 2, 6, 10, 6, 6, 1, 1, 1, 2, 2, 10, 2, 2, 10, 2, 6, 6, 6, 10, 6, 1, 2, 2, 1, 8, 2, 9, 6, 6, 10, 1, 10, 6, 2, 6, 1, 2, 10, 9, 1, 2, 5, 1, 10, 10, 1, 6, 2, 2, 1, 1, 1, 10, 1, 1, 6, 6, 10, 10, 6, 10, 6, 1, 1, 2, 10, 2, 10, 10, 2, 10, 10, 1, 10, 1, 10, 2, 6, 10, 1, 2, 1, 1, 2, 6, 2, 6, 1, 6, 10, 1, 2, 6, 10, 0, 2, 6, 6, 6, 10, 2, 10, 10, 1, 1, 2, 10, 10, 2, 1, 1, 6, 10, 1, 1, 10, 6, 2, 10, 10, 10, 1, 2, 2, 6, 6, 1, 6, 2, 6, 6, 2, 1, 1, 2, 1, 1, 6, 1, 6, 10, 6, 6, 6, 6, 2, 1, 2, 10, 1, 2, 2, 1, 2, 2, 1, 6, 2, 2, 2, 2, 1, 4, 10, 1, 6, 6, 2, 6, 6, 2, 10, 1, 6, 1, 2, 1, 1, 9, 6, 6, 6, 10, 2, 6, 1, 2, 2, 6, 10, 1, 1, 10, 1, 1, 2, 2, 1, 10, 0, 10, 10, 2, 6, 2, 10, 6, 1, 1, 2, 6, 10, 6, 6, 2, 2, 6, 1, 2, 1, 10, 2, 6, 2, 6, 6, 2, 6, 1, 6, 10, 0, 1, 2, 10, 10, 10, 6, 1, 2, 10, 2, 1, 1, 6, 1, 6, 10, 4, 6, 10, 1, 10, 10, 0, 2, 2, 1, 2, 6, 10, 6, 1, 10, 1, 6, 2, 6, 1, 6, 6, 10, 0, 6, 6, 6, 10, 6, 1, 1, 10, 10, 6, 10, 10, 1, 1, 1, 6, 6, 2, 1, 10, 1, 6, 10, 10, 10, 6, 2, 1, 10, 6, 1, 1, 10, 10, 1, 6, 6, 6, 6, 10, 1, 10, 10, 1, 10, 6, 6, 1, 6, 10, 2, 2, 1, 6, 10, 1, 6, 10, 6, 1, 2, 1, 2, 10, 0, 1, 6, 10, 2, 10, 6, 6, 2, 1, 10, 1, 6, 1, 10, 6, 6, 2, 2, 1, 2, 1, 10, 10, 10, 6, 10, 5, 2, 10, 6, 10, 2, 10, 6, 10, 6, 10, 10, 2, 1, 10, 10, 6, 1, 1, 10, 10, 2, 2, 9, 1, 2, 1, 10, 6, 1, 10, 2, 10, 2, 10, 1, 2, 6, 6, 4, 5, 2, 10, 2, 1, 1, 6, 2, 1, 2, 10, 1, 6, 0, 10, 10, 6, 2, 10, 1, 10, 2, 10, 6, 6, 10, 6, 6, 1, 6, 2, 6, 2, 2, 6, 5, 6, 6, 10, 10, 6, 2, 2, 10, 1, 1, 2, 6, 1, 1, 4, 10, 6, 2, 10, 6, 2, 10, 2, 6, 1, 1, 1, 6, 2, 6, 1, 1, 1, 2, 10, 1, 2, 10, 2, 2, 1, 6, 6, 6, 2, 2, 10, 1, 1, 1, 1, 10, 10, 2, 2, 2, 1, 6, 10, 10, 4, 1, 6, 6, 1, 10, 6, 10, 2, 2, 2, 2, 2, 2, 10, 10, 2, 6, 10, 10, 6, 10, 2, 6, 0, 1, 6, 1, 10, 6, 10, 2, 10, 2, 1, 10, 5, 2, 10, 10, 5, 5, 1, 6, 2, 10, 1, 1, 1, 6, 2, 6, 2, 1, 6, 1, 9, 10, 5, 2, 1, 1, 10, 6, 6, 2, 2, 1, 2, 1, 4, 1, 5, 6, 6, 1, 6, 6, 2, 1, 9, 10, 1, 1, 6, 10, 6, 10, 1, 6, 2, 10, 2, 10, 1, 6, 6, 2, 1, 10, 1, 1, 6, 1, 2, 1, 10, 2, 2, 2, 1, 1, 6, 6, 1, 5, 6, 1, 2, 1, 1, 6, 2, 10, 1, 10, 10, 6, 6, 2, 1, 2, 6, 6, 1, 1, 1, 2, 1, 1, 2, 6, 2, 2, 1, 6, 6, 10, 10, 10, 1, 1, 1, 6, 6, 5, 10, 10, 2, 10, 10, 1, 10, 2, 1, 1, 6, 2, 6, 1, 6, 10, 2, 1, 6, 10, 1, 2, 2, 9, 6, 6, 1, 10, 2, 2, 2, 10, 2, 1, 6, 2, 1, 4, 2, 6, 4, 6, 1, 2, 2, 10, 2, 1, 1, 6, 1, 1, 6, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 10, 10, 10, 1, 1, 4, 6, 1, 10, 6, 10, 10, 2, 10, 1, 10, 2, 10, 6, 6, 10, 2, 6, 6, 1, 1, 10, 10, 1, 2, 6, 1, 2, 2, 10, 2, 1, 10, 10, 1, 1, 6, 6, 6, 1, 10, 1, 2, 1, 1, 10, 1, 4, 1, 6, 1, 1, 2, 6, 10, 2, 10, 10, 10, 6, 2, 10, 1, 2, 1, 6, 6, 10, 2, 1, 2, 6, 6, 2, 10, 10, 10, 10, 1, 6, 10, 6, 10, 10, 1, 2, 0, 2, 1, 2, 6, 1, 6, 6, 1, 10, 1, 6, 1, 6, 2, 2, 10, 1, 5, 6, 1, 2, 2, 1, 1, 2, 10, 10, 6, 10, 10, 2, 10, 10, 9, 10, 6, 6, 10, 10, 2, 6, 6, 2, 10, 6, 6, 6, 2, 6, 6, 10, 6, 10, 2, 1, 10, 1, 2, 10, 10, 10, 2, 1, 2, 1, 2, 1, 2, 10, 6, 10, 6, 1, 10, 1, 4, 9, 0, 2, 2, 2, 1, 6, 1, 6, 2, 6, 1, 10, 2, 6, 10, 6, 6, 6, 10, 6, 10, 2, 6, 10, 6, 10, 6, 1, 1, 2, 10, 6, 10, 6, 1, 1, 2, 6, 2, 1, 10, 10, 10, 6, 6, 1, 6, 1, 1, 1, 10, 6, 10, 1, 10, 2, 6, 6, 10, 6, 10, 10, 1, 6, 1, 10, 6, 1, 6, 10, 10, 2, 10, 2, 6, 10, 10, 6, 2, 2, 1, 6, 1, 10, 1, 10, 6, 10, 6, 10, 6, 1, 10, 10, 2, 1, 10, 2, 10, 6, 10, 1, 10, 10, 6, 10, 10, 2, 6, 6, 10, 1, 1, 6, 6, 1, 6, 6, 6, 2, 1, 10, 6, 6, 6, 10, 2, 2, 10, 2, 1, 2, 4, 1, 6, 1, 1, 1, 2, 6, 2, 1, 10, 1, 6, 6, 10, 6, 10, 2, 1, 10, 2, 10, 10, 6, 2, 6, 10, 1, 10, 2, 6, 2, 2, 2, 10, 2, 10, 6, 1, 6, 2, 2, 2, 1, 1, 10, 10, 1, 2, 10, 6, 2, 6, 10, 10, 6, 6, 2, 1, 10, 6, 1, 1, 10, 10, 6, 10, 6, 2, 1, 6, 6, 2, 2, 0, 10, 1, 6, 2, 2, 10, 2, 10, 2, 1, 1, 6, 10, 2, 2, 6, 1, 6, 2, 1, 2, 1, 6, 10, 1, 2, 6, 5, 6, 2, 10, 2, 4, 6, 2, 0, 6, 2, 10, 6, 1, 2, 1, 1, 10, 2, 2, 6, 1, 6, 10, 10, 1, 10, 2, 1, 1, 2, 2, 6, 1, 6, 2, 1, 5, 10, 1, 6, 2, 6, 6, 2, 6, 6, 2, 2, 6, 2, 2, 6, 1, 6, 6, 6, 10, 10, 2, 2, 1, 6, 10, 1, 6, 6, 10, 2, 10, 1, 6, 1, 6, 10, 2, 1, 1, 10, 10, 1, 6, 2, 10, 2, 10, 6, 1, 10, 2, 10, 2, 1, 6, 4, 1, 1, 6, 1, 1, 1, 2, 10, 1, 2, 2, 9, 1, 2, 6, 6, 2, 6, 1, 6, 1, 1, 2, 1, 1, 10, 10, 2, 6, 6, 10, 6, 6, 1, 10, 1, 10, 2, 10, 2, 1, 10, 1, 10, 10, 2, 6, 10, 10, 2, 2, 6, 1, 10, 1, 1, 2, 1, 6, 1, 1, 10, 4, 1, 2, 1, 2, 0, 2, 2, 10, 6, 6, 10, 5, 10, 1, 6, 6, 4, 10, 6, 10, 2, 1, 6, 2, 1, 1, 6, 6, 6, 2, 1, 2, 6, 2, 6, 10, 6, 2, 6, 10, 2, 6, 10, 2, 6, 1, 1, 6, 2, 1, 6, 1, 1, 10, 6, 2, 6, 1, 10, 6, 10, 4, 1, 2, 2, 10, 10, 10, 6, 2, 6, 2, 6, 2, 2, 10, 1, 6, 10, 6, 1, 6, 1, 6, 2, 2, 2, 2, 10, 10, 2, 1, 1, 1, 10, 6, 2, 6, 10, 2, 1, 2, 10, 2, 6, 2, 10, 1, 1, 1, 2, 6, 6, 10, 1, 10, 1, 2, 10, 2, 2, 1, 10, 0, 10, 6, 2, 10, 10, 2, 10, 6, 2, 2, 10, 6, 6, 6, 6, 2, 6, 6, 1, 1, 2, 1, 10, 6, 10, 2, 1, 6, 2, 1, 1, 2, 2, 1, 10, 6, 1, 1, 10, 10, 2, 10, 1, 1, 10, 6, 6, 10, 6, 1, 10, 1, 2, 10, 6, 1, 6, 1, 2, 6, 6, 10, 10, 6, 6, 2, 1, 2, 10, 2, 1, 6, 1, 10, 2, 1, 6, 10, 1, 1, 2, 10, 1, 1, 6, 5, 1, 2, 1, 6, 2, 1, 1, 2, 6, 1, 1, 1, 10, 1, 6, 10, 1, 1, 6, 2, 10, 2, 2, 6, 10, 6, 10, 10, 2, 2, 10, 6, 6, 1, 6, 6, 10, 10, 2, 2, 10, 2, 6, 2, 1, 6, 6, 1, 10, 10, 2, 1, 1, 0, 6, 6, 10, 1, 10, 2, 1, 6, 10, 6, 10, 0, 1, 6, 6, 1, 6, 6, 6, 1, 10, 10, 1, 1, 6, 1, 1, 10, 1, 1, 6, 4, 2, 6, 2, 10, 10, 2, 10, 10, 6, 1, 2, 2, 2, 2, 10, 10, 6, 10, 10, 1, 6, 10, 10, 2, 6, 6, 6, 10, 6, 2, 6, 6, 6, 2, 1, 6, 10, 2, 2, 2, 6, 6, 10, 1, 1, 1, 6, 10, 2, 2, 10, 1, 10, 10, 1, 10, 6, 1, 6, 2, 2, 6, 6, 1, 2, 6, 2, 10, 1, 10, 10, 2, 6, 2, 2, 1, 6, 2, 2, 10, 2, 10, 0, 1, 6, 6, 6, 2, 10, 6, 2, 6, 2, 9, 6, 2, 10, 6, 10, 2, 6, 6, 4, 6, 2, 10, 2, 10, 1, 10, 1, 10, 1, 4, 1, 2, 10, 6, 2, 2, 1, 1, 10, 10, 6, 1, 1, 2, 10, 5, 1, 6, 1, 10, 6, 1, 2, 1, 10, 1, 10, 2, 2, 6, 2, 10, 1, 10, 10, 2, 6, 2, 2, 2, 1, 6, 10, 1, 1, 10, 6, 6, 2, 1, 10, 2, 10, 1, 10, 6, 10, 1, 6, 2, 2, 2, 1, 2, 10, 1, 6, 6, 6, 9, 10, 1, 10, 6, 1, 10, 6, 6, 10, 1, 2, 10, 1, 6, 6, 1, 10, 6, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 10, 2, 4, 10, 1, 2, 2, 10, 2, 6, 10, 10, 10, 10, 2, 6, 6, 6, 6, 6, 1, 6, 10, 10, 6, 1, 6, 2, 6, 6, 10, 6, 10, 10, 2, 2, 10, 6, 1, 6, 6, 1, 6, 2, 2, 10, 2, 6, 10, 3, 3, 6, 1, 1, 1, 1, 1, 1, 6, 1, 2, 1, 2, 2, 6, 6, 1, 10, 10, 2, 10, 1, 10, 10, 10, 6, 10, 2, 10, 10, 6, 6, 6, 2, 1, 10, 1, 10, 6, 6, 2, 6, 2, 2, 10, 1, 1, 6, 1, 2, 2, 6, 9, 2, 6, 10, 6, 10, 2, 1, 1, 2, 6, 1, 2, 1, 2, 10, 1, 10, 10, 6, 9, 2, 10, 1, 1, 10, 2, 1, 2, 2, 10, 2, 10, 10, 10, 6, 6, 10, 10, 2, 2, 10, 1, 2, 6, 6, 2, 1, 1, 6, 10, 10, 10, 1, 10, 6, 2, 6, 6, 10, 6, 1, 2, 1, 6, 2, 10, 6, 6, 1, 1, 10, 10, 10, 1, 10, 1, 2, 6, 2, 10, 6, 6, 1, 10, 10, 6, 1, 1, 1, 6, 4, 6, 6, 10, 2, 10, 10, 6, 2, 1, 6, 6, 6, 6, 10, 10, 2, 2, 5, 10, 1, 6, 1, 2, 2, 1, 6, 1, 2, 2, 6, 6, 1, 1, 10, 2, 10, 10, 10, 6, 2, 1, 2, 6, 1, 10, 6, 6, 6, 2, 10, 2, 10, 4, 1, 2, 2, 6, 1, 2, 1, 1, 6, 2, 1, 6, 10, 1, 1, 10, 2, 2, 1, 2, 1, 10, 2, 1, 2, 2, 1, 6, 2, 6, 10, 2, 6, 1, 1, 2, 2, 10, 1, 2, 6, 0, 10, 10, 1, 2, 6, 1, 1, 6, 2, 10, 6, 1, 1, 2, 10, 1, 10, 6, 10, 2, 1, 1, 2, 10, 0, 6, 2, 6, 10, 10, 10, 6, 6, 1, 1, 2, 10, 10, 10, 1, 1, 2, 2, 1, 2, 1, 1, 1, 6, 10, 10, 2, 2, 2, 1, 6, 6, 10, 1, 6, 2, 2, 5, 9, 2, 1, 6, 6, 6, 2, 10, 10, 10, 2, 6, 1, 6, 6, 6, 2, 10, 6, 6, 2, 2, 10, 6, 5, 6, 6, 1, 10, 6, 2, 6, 10, 2, 1, 1, 1, 10, 6, 5, 6, 2, 10, 10, 10, 1, 2, 1, 6, 6, 6, 1, 1, 6, 2, 1, 2, 6, 10, 1, 2, 10, 6, 6, 1, 2, 6, 0, 10, 2, 6, 2, 5, 2, 2, 6, 2, 6, 2, 6, 10, 10, 2, 2, 1, 1, 6, 2, 10, 1, 2, 1, 1, 6, 2, 6, 10, 1, 1, 1, 10, 2, 6, 2, 2, 2, 6, 10, 10, 10, 2, 6, 10, 6, 6, 2, 10, 2, 2, 6, 6, 2, 6, 2, 9, 10, 10, 6, 2, 10, 10, 1, 0, 2, 10, 6, 1, 6, 1, 2, 2, 2, 1, 1, 2, 6, 2, 1, 10, 1, 6, 6, 6, 1, 1, 10, 2, 6, 10, 2, 1, 6, 2, 1, 0, 6, 10, 6, 10, 1, 6, 1, 2, 1, 6, 6, 1, 10, 10, 2, 2, 10, 6, 6, 1, 10, 2, 10, 1, 1, 1, 1, 6, 10, 2, 1, 6, 6, 2, 1, 10, 2, 2, 1, 6, 1, 2, 2, 1, 10, 6, 6, 10, 10, 10, 6, 2, 10, 1, 6, 6, 1, 8, 6, 10, 2, 1, 2, 2, 6, 2, 6, 6, 2, 6, 1, 2, 10, 10, 6, 10, 1, 1, 6, 7, 2, 10, 10, 2, 6, 2, 1, 2, 4, 2, 6, 1, 2, 1, 2, 6, 10, 6, 2, 1, 6, 10, 6, 6, 10, 6, 10, 9, 1, 2, 10, 10, 1, 1, 1, 1, 2, 0, 1, 6, 10, 2, 4, 2, 1, 6, 1, 2, 1, 9, 10, 10, 1, 2, 2, 10, 2, 2, 1, 6, 6, 4, 2, 1, 5, 6, 2, 10, 6, 10, 6, 2, 2, 10, 10, 10, 2, 2, 10, 6, 10, 6, 6, 2, 6, 10, 2, 10, 2, 2, 2, 2, 10, 10, 1, 6, 1, 6, 10, 1, 10, 10, 6, 2, 1, 6, 10, 1, 2, 6, 1, 10, 1, 6, 1, 2, 0, 6, 10, 2, 2, 6, 2, 5, 6, 10, 10, 10, 2, 2, 1, 2, 10, 6, 2, 10, 1, 10, 6, 10, 1, 1, 1, 1, 6, 2, 10, 1, 10, 1, 6, 2, 1, 1, 6, 6, 6, 10, 2, 1, 1, 10, 2, 10, 2, 2, 6, 1, 6, 10, 10, 1, 1, 10, 10, 6, 1, 6, 10, 10, 1, 1, 10, 10, 10, 2, 1, 1, 9, 10, 2, 2, 6, 6, 1, 10, 1, 6, 6, 2, 6, 1, 2, 10, 10, 2, 1, 1, 2, 1, 6, 9, 10, 2, 2, 6, 60, 1, 1, 6, 10, 6, 6, 1, 1, 1, 2, 10, 1, 2, 6, 10, 1, 10, 2, 9, 6, 2, 6, 1, 10, 10, 2, 10, 6, 1, 10, 10, 6, 1, 6, 6, 1, 6, 10, 1, 1, 2, 6, 2, 10, 10, 1, 10, 6, 10, 6, 10, 2, 1, 6, 1, 2, 2, 10, 2, 2, 2, 9, 2, 1, 2, 10, 6, 6, 10, 1, 2, 6, 10, 2, 6, 2, 6, 6, 2, 6, 6, 10, 10, 1, 2, 1, 2, 1, 6, 1, 1, 10, 10, 0, 4, 10, 1, 1, 6, 2, 10, 1, 2, 2, 2, 10, 2, 10, 2, 2, 2, 10, 1, 0, 6, 6, 10, 6, 1, 1, 6, 10, 10, 2, 10, 6, 1, 2, 6, 6, 1, 10, 2, 1, 6, 1, 2, 1, 1, 2, 2, 10, 1, 6, 6, 1, 10, 6, 10, 10, 6, 6, 6, 6, 1, 6, 10, 6, 10, 2, 1, 10, 6, 10, 10, 10, 6, 10, 10, 2, 6, 10, 10, 6, 6, 10, 10, 1, 2, 6, 1, 2, 6, 6, 6, 1, 10, 10, 6, 2, 10, 10, 10, 0, 1, 1, 2, 1, 1, 2, 2, 6, 1, 6, 5, 1, 2, 2, 6, 2, 1, 2, 1, 1, 2, 10, 10, 10, 1, 1, 2, 1, 2, 2, 6, 10, 1, 1, 2, 1, 2, 6, 10, 6, 6, 2, 10, 2, 10, 2, 10, 6, 6, 6, 2, 1, 6, 5, 1, 6, 10, 9, 1, 10, 0, 10, 2, 2, 5, 4, 10, 10, 6, 6, 1, 10, 5, 2, 2, 6, 6, 10, 10, 10, 1, 6, 1, 6, 4, 2, 6, 1, 10, 1, 2, 9, 1, 10, 6, 10, 6, 2, 10, 0, 1, 10, 2, 2, 10, 6, 6, 1, 1, 1, 2, 1, 1, 6, 6, 1, 6, 10, 1, 2, 2, 10, 2, 10, 6, 1, 10, 1, 2, 6, 2, 1, 2, 6, 2, 6, 2, 10, 7, 10, 2, 9, 6, 2, 2, 2, 1, 10, 2, 1, 6, 2, 6, 6, 6, 1, 10, 1, 10, 1, 2, 1, 2, 1, 10, 2, 6, 2, 6, 10, 10, 10, 10, 6, 2, 10, 4, 1, 6, 10, 2, 2, 6, 2, 10, 5, 2, 2, 0, 6, 0, 10, 10, 10, 10, 10, 1, 1, 6, 1, 10, 10, 2, 6, 6, 2, 1, 6, 1, 9, 2, 10, 10, 2, 6, 60, 2, 1, 1, 1, 5, 6, 1, 10, 10, 10, 6, 10, 2, 10, 2, 10, 2, 2, 6, 2, 1, 1, 2, 6, 1, 6, 2, 10, 5, 2, 10, 2, 1, 6, 1, 6, 2, 10, 1, 1, 1, 2, 10, 6, 6, 1, 2, 6, 10, 0, 6, 2, 10, 10, 10, 2, 2, 6, 10, 10, 10, 2, 6, 10, 6, 2, 6, 4, 2, 6, 2, 1, 1, 10, 6, 2, 1, 6, 1, 2, 1, 1, 10, 2, 1, 10, 2, 2, 6, 2, 2, 2, 1, 6, 2, 6, 6, 10, 1, 10, 0, 2, 10, 10, 2, 2, 1, 10, 1, 2, 10, 10, 6, 1, 6, 1, 1, 2, 10, 1, 1, 10, 5, 6, 1, 1, 1, 2, 2, 2, 2, 6, 10, 10, 6, 4, 6, 10, 10, 1, 1, 2, 10, 6, 2, 2, 2, 1, 6, 2, 6, 1, 10, 1, 1, 10, 10, 2, 10, 2, 6, 10, 10, 10, 1, 10, 10, 2, 10, 6, 1, 6, 2, 10, 2, 1, 6, 2, 2, 2, 2, 10, 1, 9, 2, 2, 10, 4, 1, 6, 1, 10, 10, 6, 1, 2, 1, 10, 4, 6, 1, 10, 1, 2, 6, 2, 2, 5, 5, 1, 6, 1, 6, 10, 2, 10, 6, 9, 1, 1, 10, 6, 6, 6, 10, 10, 10, 10, 1, 1, 6, 1, 1, 1, 10, 6, 2, 10, 9, 6, 10, 2, 10, 6, 1, 10, 6, 9, 10, 1, 6, 1, 1, 9, 6, 1, 6, 10, 6, 2, 2, 6, 1, 10, 6, 6, 2, 10, 10, 1, 6, 5, 2, 6, 2, 6, 2, 10, 10, 6, 1, 2, 10, 6, 6, 2, 6, 2, 2, 6, 10, 10, 2, 6, 1, 10, 10, 1, 6, 6, 10, 10, 6, 10, 2, 6, 2, 2, 1, 1, 6, 2, 2, 2, 6, 1, 2, 10, 10, 1, 6, 4, 10, 10, 1, 6, 2, 6, 1, 10, 2, 6, 2, 4, 0, 1, 2, 2, 1, 6, 1, 2, 10, 1, 10, 6, 10, 6, 10, 10, 6, 6, 2, 6, 2, 2, 10, 10, 2, 1, 6, 10, 10, 10, 2, 6, 1, 6, 6, 1, 1, 10, 2, 10, 1, 2, 10, 2, 1, 2, 2, 2, 10, 10, 6, 1, 1, 2, 10, 10, 10, 6, 2, 1, 6, 1, 10, 6, 1, 1, 2, 10, 9, 10, 6, 1, 6, 6, 1, 1, 2, 2, 6, 2, 1, 1, 2, 2, 2, 10, 10, 6, 6, 10, 1, 1, 10, 10, 2, 1, 10, 6, 2, 2, 2, 6, 2, 2, 6, 6, 10, 1, 1, 6, 2, 6, 2, 2, 2, 10, 6, 10, 10, 10, 2, 10, 10, 1, 1, 6, 6, 2, 10, 1, 10, 2, 6, 1, 2, 6, 1, 10, 10, 2, 6, 2, 1, 6, 10, 2, 1, 6, 2, 1, 6, 1, 6, 2, 1, 1, 10, 6, 1, 1, 1, 10, 1, 1, 2, 1, 1, 1, 1, 10, 1, 2, 2, 2, 10, 10, 4, 2, 1, 6, 1, 2, 6, 10, 10, 6, 1, 2, 6, 1, 10, 10, 6, 6, 10, 6, 6, 2, 1, 2, 2, 10, 10, 2, 10, 6, 10, 2, 10, 9, 6, 6, 1, 1, 6, 10, 2, 2, 6, 2, 10, 10, 6, 9, 6, 1, 6, 10, 10, 1, 2, 0, 10, 1, 1, 10, 2, 4, 10, 10, 2, 6, 10, 10, 1, 6, 6, 1, 1, 6, 6, 10, 1, 2, 2, 6, 10, 10, 2, 1, 2, 10, 2, 1, 1, 2, 2, 2, 1, 10, 1, 1, 6, 6, 10, 1, 1, 2, 1, 10, 10, 1, 1, 10, 10, 10, 10, 10, 1, 10, 1, 6, 10, 1, 2, 10, 10, 2, 6, 6, 2, 1, 10, 6, 4, 10, 6, 2, 10, 2, 2, 10, 10, 6, 6, 2, 1, 2, 2, 10, 1, 6, 6, 1, 6, 1, 6, 1, 2, 10, 10, 6, 2, 1, 1, 2, 2, 10, 6, 2, 1, 2, 10, 10, 6, 6, 1, 2, 1, 1, 6, 10, 2, 1, 2, 2, 2, 6, 2, 1, 10, 6, 2, 10, 1, 10, 1, 6, 6, 1, 2, 1, 2, 10, 6, 6, 6, 6, 1, 6, 10, 6, 1, 6, 10, 2, 10, 2, 1, 10, 6, 1, 10, 2, 2, 6, 1, 1, 1, 2, 2, 6, 10, 10, 1, 6, 1, 1, 2, 10, 1, 1, 10, 2, 1, 6, 1, 2, 10, 2, 2, 6, 10, 2, 10, 2, 6, 6, 2, 1, 10, 2, 6, 1, 2, 1, 1, 1, 1, 10, 10, 10, 10, 2, 2, 1, 1, 1, 2, 2, 1, 1, 10, 1, 2, 10, 6, 10, 2, 10, 2, 10, 1, 1, 10, 9, 2, 2, 2, 2, 2, 10, 2, 10, 6, 10, 1, 9, 2, 2, 1, 2, 10, 10, 10, 1, 1, 2, 1, 2, 2, 10, 10, 6, 10, 10, 10, 10, 6, 2, 2, 1, 10, 2, 10, 6, 10, 1, 1, 6, 1, 10, 6, 1, 10, 1, 10, 1, 2, 6, 1, 6, 6, 2, 6, 6, 6, 6, 10, 5, 6, 1, 1, 2, 2, 1, 2, 10, 2, 10, 6, 10, 10, 10, 10, 2, 10, 10, 1, 2, 10, 2, 10, 2, 2, 6, 2, 6, 1, 1, 10, 10, 1, 6, 10, 2, 6, 10, 10, 10, 0, 10, 2, 1, 10, 1, 6, 1, 2, 10, 10, 1, 2, 10, 10, 0, 2, 6, 6, 2, 10, 9, 10, 2, 10, 10, 9, 6, 6, 10, 10, 2, 1, 10, 10, 10, 10, 2, 6, 2, 1, 6, 6, 6, 10, 1, 10, 2, 2, 1, 10, 10, 10, 1, 10, 10, 6, 2, 1, 10, 2, 6, 6, 1, 1, 10, 2, 10, 1, 2, 6, 2, 2, 6, 10, 6, 6, 1, 2, 2, 6, 10, 6, 6, 6, 1, 2, 1, 2, 4, 1, 6, 6, 10, 2, 2, 6, 1, 6, 6, 2, 10, 6, 2, 10, 10, 10, 1, 6, 2, 2, 2, 6, 2, 2, 1, 2, 6, 1, 1, 10, 2, 10, 1, 1, 2, 2, 10, 6, 10, 2, 2, 10, 10, 6, 6, 10, 1, 2, 4, 10, 2, 6, 2, 6, 2, 10, 0, 1, 10, 10, 6, 6, 6, 2, 10, 2, 9, 10, 10, 6, 2, 10, 2, 6, 6, 10, 2, 1, 2, 2, 1, 1, 6, 10, 2, 6, 1, 6, 10, 1, 6, 5, 1, 1, 1, 5, 2, 1, 1, 0, 1, 1, 6, 10, 10, 2, 10, 10, 2, 6, 1, 1, 2, 1, 2, 2, 10, 5, 0, 1, 10, 2, 6, 1, 10, 6, 1, 6, 10, 2, 1, 2, 2, 6, 6, 1, 10, 1, 6, 1, 1, 10, 1, 10, 1, 6, 1, 6, 6, 2, 6, 1, 6, 2, 6, 10, 6, 2, 1, 1, 1, 10, 6, 10, 2, 6, 10, 10, 2, 0, 1, 6, 6, 6, 1, 10, 1, 2, 10, 10, 1, 2, 1, 10, 2, 6, 1, 10, 6, 10, 2, 10, 1, 2, 6, 1, 1, 10, 1, 1, 10, 10, 1, 6, 1, 6, 6, 6, 10, 6, 6, 1, 10, 6, 10, 10, 6, 10, 10, 6, 6, 2, 2, 1, 6, 2, 9, 10, 1, 1, 2, 1, 6, 1, 1, 6, 10, 2, 6, 1, 10, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 10, 2, 6, 9, 0, 6, 2, 6, 2, 1, 10, 1, 6, 2, 2, 1, 6, 1, 2, 2, 6, 1, 10, 2, 2, 1, 10, 10, 1, 6, 1, 10, 6, 10, 6, 6, 6, 6, 2, 2, 2, 10, 6, 10, 2, 2, 10, 10, 6, 2, 0, 1, 2, 2, 2, 10, 10, 10, 1, 6, 5, 2, 1, 6, 2, 2, 10, 9, 10, 1, 1, 1, 2, 6, 1, 1, 6, 2, 2, 1, 2, 9, 10, 1, 1, 6, 2, 10, 6, 1, 10, 2, 10, 6, 10, 10, 10, 10, 2, 1, 6, 2, 6, 1, 10, 2, 10, 4, 10, 1, 6, 10, 1, 9, 10, 6, 2, 2, 2, 10, 10, 6, 1, 2, 10, 6, 2, 10, 2, 2, 6, 10, 4, 2, 10, 10, 2, 10, 1, 1, 6, 6, 2, 2, 4, 10, 6, 2, 10, 2, 10, 10, 2, 10, 2, 1, 10, 2, 1, 6, 10, 1, 10, 1, 2, 2, 6, 1, 6, 1, 10, 10, 1, 2, 6, 6, 6, 6, 2, 6, 2, 2, 1, 2, 1, 1, 6, 1, 2, 1, 1, 10, 2, 5, 2, 2, 6, 1, 2, 6, 2, 6, 6, 2, 1, 2, 2, 2, 1, 1, 1, 2, 6, 1, 2, 1, 1, 1, 5, 1, 2, 2, 2, 10, 10, 10, 6, 2, 2, 1, 1, 1, 2, 10, 10, 6, 2, 1, 10, 6, 6, 1, 6, 1, 2, 1, 5, 10, 6, 10, 1, 10, 2, 6, 1, 1, 2, 6, 6, 2, 10, 2, 1, 6, 2, 10, 1, 6, 10, 6, 6, 1, 1, 6, 6, 6, 10, 1, 10, 10, 6, 4, 2, 1, 6, 6, 10, 1, 10, 1, 2, 6, 10, 1, 6, 10, 1, 6, 1, 2, 1, 2, 6, 10, 2, 10, 1, 10, 10, 1, 6, 1, 2, 2, 6, 1, 10, 6, 2, 10, 6, 2, 10, 9, 0, 10, 6, 6, 1, 6, 10, 2, 1, 2, 6, 10, 2, 5, 2, 10, 6, 6, 1, 10, 6, 2, 2, 5, 10, 1, 6, 2, 1, 10, 6, 10, 10, 6, 2, 6, 1, 2, 6, 10, 6, 10, 10, 6, 6, 1, 1, 1, 2, 6, 6, 1, 10, 10, 2, 1, 6, 4, 1, 1, 2, 6, 10, 2, 2, 6, 1, 6, 10, 6, 10, 6, 10, 10, 1, 10, 10, 10, 2, 6, 2, 2, 2, 6, 1, 2, 2, 6, 10, 10, 2, 2, 6, 10, 6, 10, 10, 2, 2, 6, 6, 2, 2, 6, 1, 6, 10, 6, 10, 10, 10, 2, 1, 2, 10, 6, 10, 2, 6, 10, 2, 10, 10, 6, 2, 1, 2, 1, 6, 6, 6, 1, 6, 10, 2, 1, 10, 10, 2, 6, 10, 2, 2, 6, 2, 1, 2, 2, 10, 6, 5, 10, 10, 1, 2, 2, 10, 6, 6, 6, 9, 2, 6, 2, 2, 10, 2, 2, 6, 10, 10, 1, 2, 2, 6, 2, 2, 1, 10, 1, 2, 6, 10, 6, 6, 1, 10, 2, 10, 1, 10, 2, 10, 10, 6, 6, 10, 2, 10, 6, 4, 1, 2, 2, 1, 2, 2, 1, 2, 10, 6, 6, 2, 10, 1, 2, 10, 2, 10, 10, 10, 10, 10, 2, 10, 6, 10, 1, 2, 2, 10, 6, 2, 2, 10, 2, 2, 6, 1, 6, 10, 1, 10, 10, 2, 1, 10, 10, 10, 6, 10, 1, 1, 6, 9, 6, 10, 4, 2, 1, 2, 9, 10, 10, 6, 1, 2, 6, 2, 10, 1, 10, 4, 10, 1, 10, 2, 2, 6, 2, 2, 2, 2, 1, 10, 2, 1, 2, 2, 10, 2, 2, 2, 10, 2, 4, 1, 1, 1, 10, 1, 10, 2, 2, 1, 1, 2, 2, 10, 2, 2, 1, 6, 10, 1, 1, 10, 2, 1, 2, 6, 10, 10, 10, 6, 3, 10, 10, 1, 10, 10, 6, 6, 1, 1, 5, 10, 1, 2, 0, 10, 6, 6, 10, 2, 10, 1, 2, 2, 2, 10, 6, 6, 1, 1, 1, 6, 2, 1, 2, 1, 6, 10, 2, 1, 10, 6, 9, 6, 2, 6, 10, 2, 6, 6, 10, 1, 2, 0, 6, 9, 1, 1, 1, 10, 10, 10, 10, 6, 6, 1, 10, 2, 10, 2, 2, 2, 2, 6, 1, 10, 6, 2, 1, 1, 2, 1, 1, 1, 10, 6, 6, 1, 10, 6, 6, 2, 1, 6, 2, 1, 2, 1, 1, 6, 2, 10, 2, 2, 10, 2, 2, 2, 2, 6, 2, 1, 10, 6, 1, 1, 2, 9, 2, 6, 0, 1, 2, 6, 10, 1, 6, 6, 1, 6, 2, 10, 6, 6, 10, 2, 2, 2, 6, 2, 2, 2, 1, 1, 1, 10, 2, 6, 6, 9, 2, 2, 6, 10, 2, 6, 1, 6, 1, 2, 10, 2, 1, 2, 10, 10, 10, 2, 2, 2, 1, 1, 5, 6, 1, 1, 10, 6, 6, 10, 2, 10, 1, 10, 6, 10, 1, 2, 1, 10, 6, 2, 6, 6, 10, 10, 1, 10, 2, 1, 6, 6, 2, 6, 2, 6, 6, 2, 6, 2, 6, 6, 6, 10, 1, 2, 2, 1, 2, 10, 2, 1, 10, 6, 10, 1, 2, 1, 10, 2, 1, 1, 2, 2, 6, 1, 10, 6, 10, 6, 6, 6, 10, 2, 1, 10, 10, 6, 2, 6, 2, 10, 6, 2, 1, 6, 6, 1, 2, 1, 1, 10, 10, 1, 6, 6, 6, 2, 2, 1, 10, 1, 6, 6, 1, 1, 6, 10, 6, 10, 10, 6, 6, 2, 1, 6, 2, 10, 10, 6, 10, 2, 2, 2, 10, 6, 10, 2, 10, 10, 1, 10, 10, 6, 2, 2, 10, 10, 6, 6, 1, 10, 2, 2, 6, 6, 6, 10, 2, 2, 2, 1, 1, 1, 2, 10, 1, 10, 6, 2, 1, 1, 10, 2, 10, 1, 6, 2, 10, 1, 1, 2, 2, 2, 10, 1, 1, 10, 1, 10, 10, 2, 10, 10, 10, 1, 6, 6, 2, 6, 10, 6, 6, 2, 2, 1, 10, 6, 2, 10, 1, 1, 10, 1, 1, 2, 2, 10, 2, 6, 10, 1, 1, 10, 1, 6, 2, 1, 10, 1, 10, 10, 6, 2, 2, 6, 10, 2, 6, 10, 1, 2, 6, 6, 1, 2, 10, 1, 1, 1, 6, 6, 1, 10, 10, 2, 10, 1, 1, 10, 10, 1, 1, 10, 0, 2, 10, 6, 6, 10, 1, 10, 10, 1, 1, 2, 2, 2, 10, 10, 6, 2, 6, 10, 1, 1, 2, 1, 6, 1, 2, 1, 1, 2, 2, 5, 2, 1, 2, 10, 6, 1, 6, 10, 1, 1, 6, 2, 2, 10, 1, 6, 2, 10, 6, 6, 1, 10, 5, 2, 10, 2, 6, 1, 2, 6, 2, 2, 1, 1, 2, 2, 1, 10, 10, 6, 2, 10, 1, 2, 1, 10, 1, 6, 1, 6, 2, 6, 2, 2, 1, 1, 10, 4, 2, 1, 10, 1, 10, 1, 2, 1, 6, 1, 2, 2, 6, 2, 2, 2, 6, 6, 10, 1, 2, 10, 2, 6, 2, 9, 2, 6, 1, 6, 10, 2, 2, 1, 2, 1, 6, 6, 6, 10, 6, 2, 10, 10, 10, 2, 10, 2, 6, 1, 6, 1, 2, 6, 6, 2, 2, 6, 6, 10, 10, 2, 2, 1, 1, 2, 7, 10, 2, 6, 2, 2, 1, 6, 2, 1, 1, 10, 6, 9, 6, 2, 1, 1, 2, 10, 2, 1, 10, 6, 6, 1, 10, 10, 1, 6, 6, 10, 6, 2, 10, 10, 1, 5, 6, 1, 2, 1, 6, 9, 2, 10, 10, 6, 6, 2, 1, 10, 1, 10, 6, 6, 10, 10, 2, 2, 10, 5, 10, 6, 1, 6, 6, 10, 1, 2, 10, 2, 1, 1, 2, 6, 6, 10, 2, 10, 6, 2, 2, 10, 2, 6, 2, 6, 2, 6, 10, 6, 2, 6, 6, 1, 6, 2, 1, 2, 6, 1, 10, 1, 1, 2, 1, 1, 10, 2, 0, 5, 1, 10, 1, 2, 10, 0, 10, 2, 10, 1, 6, 2, 1, 10, 10, 6, 2, 2, 2, 10, 10, 1, 6, 1, 6, 1, 6, 10, 10, 10, 6, 10, 10, 10, 6, 2, 2, 1, 1, 6, 10, 6, 6, 6, 2, 1, 6, 6, 1, 1, 10, 6, 6, 10, 1, 4, 2, 1, 6, 1, 10, 6, 6, 2, 6, 1, 10, 1, 10, 2, 6, 1, 10, 1, 10, 10, 6, 10, 1, 6, 6, 10, 1, 1, 10, 2, 10, 10, 10, 10, 10, 2, 10, 1, 10, 12, 1, 2, 6, 6, 10, 10, 2, 2, 1, 1, 10, 10, 1, 10, 6, 1, 6, 2, 2, 10, 1, 6, 0, 6, 2, 1, 1, 2, 6, 10, 6, 2, 2, 2, 10, 10, 1, 1, 2, 2, 6, 2, 10, 10, 6, 1, 1, 6, 2, 6, 6, 1, 10, 6, 10, 2, 2, 2, 10, 10, 2, 6, 6, 1, 10, 2, 1, 6, 6, 6, 10, 10, 10, 10, 10, 6, 6, 2, 1, 2, 10, 2, 1, 2, 2, 1, 2, 1, 2, 2, 10, 1, 1, 1, 6, 6, 2, 10, 6, 6, 1, 6, 2, 1, 10, 6, 2, 2, 6, 1, 4, 2, 10, 1, 6, 2, 1, 2, 2, 10, 1, 6, 1, 6, 10, 10, 10, 2, 0, 1, 10, 1, 2, 10, 1, 2, 10, 2, 10, 10, 6, 2, 10, 2, 10, 6, 10, 1, 1, 10, 6, 2, 2, 0, 10, 2, 10, 2, 2, 2, 1, 6, 6, 1, 9, 1, 2, 1, 1, 6, 10, 1, 1, 6, 10, 2, 1, 6, 10, 10, 10, 2, 10, 1, 6, 10, 10, 1, 1, 10, 6, 2, 1, 10, 2, 1, 2, 2, 10, 2, 6, 6, 1, 2, 1, 2, 1, 10, 6, 2, 10, 2, 2, 1, 2, 10, 2, 10, 2, 2, 10, 2, 1, 10, 6, 10, 10, 1, 1, 1, 6, 1, 6, 1, 10, 1, 2, 10, 10, 1, 4, 6, 10, 1, 2, 2, 6, 6, 2, 10, 10, 2, 10, 6, 2, 6, 2, 2, 1, 2, 1, 10, 1, 1, 10, 2, 10, 2, 1, 1, 10, 1, 6, 6, 2, 2, 10, 10, 6, 1, 1, 6, 6, 6, 2, 10, 6, 6, 1, 1, 6, 2, 1, 1, 1, 5, 2, 1, 5, 10, 10, 6, 6, 1, 2, 1, 10, 10, 2, 6, 2, 10, 9, 6, 10, 1, 10, 6, 2, 10, 10, 1, 6, 6, 1, 6, 2, 6, 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1, 6, 10, 2, 10, 1, 5, 6, 4, 1, 6, 10, 10, 1, 10, 2, 6, 10, 10, 6, 6, 2, 10, 6, 6, 10, 6, 10, 2, 4, 5, 6, 10, 1, 6, 10, 2, 2, 6, 1, 10, 10, 2, 6, 6, 2, 6, 2, 10, 10, 6, 1, 1, 2, 2, 1, 6, 10, 6, 2, 2, 1, 1, 2, 6, 1, 1, 6, 10, 6, 2, 5, 6, 2, 2, 10, 2, 10, 6, 1, 1, 1, 1, 6, 10, 1, 6, 6, 2, 1, 10, 10, 10, 10, 10, 6, 6, 2, 6, 10, 10, 6, 6, 2, 10, 10, 1, 1, 5, 2, 6, 10, 1, 2, 1, 1, 1, 1, 2, 10, 2, 2, 6, 6, 2, 9, 6, 2, 10, 2, 6, 6, 10, 10, 2, 6, 10, 10, 6, 1, 2, 2, 5, 10, 6, 1, 5, 1, 10, 6, 1, 1, 10, 6, 2, 2, 10, 1, 2, 2, 2, 10, 1, 1, 2, 1, 10, 6, 1, 6, 4, 2, 10, 1, 1, 6, 6, 2, 1, 10, 1, 2, 10, 6, 6, 10, 10, 2, 5, 10, 2, 1, 1, 1, 6, 6, 1, 6, 1, 2, 10, 2, 10, 10, 10, 1, 6, 10, 10, 1, 1, 6, 6, 6, 10, 2, 6, 2, 6, 1, 2, 2, 1, 6, 2, 2, 1, 1, 1, 2, 2, 6, 6, 5, 2, 6, 6, 1, 1, 1, 5, 10, 2, 2, 10, 1, 1, 1, 6, 2, 1, 6, 1, 6, 6, 6, 2, 9, 10, 2, 6, 6, 10, 2, 10, 1, 6, 1, 2, 1, 10, 2, 6, 6, 2, 1, 6, 10, 1, 10, 10, 2, 10, 5, 1, 6, 1, 10, 10, 6, 0, 1, 1, 1, 2, 10, 2, 10, 2, 6, 2, 2, 6, 2, 6, 2, 1, 6, 10, 5, 2, 6, 1, 1, 2, 1, 1, 2, 1, 6, 6, 10, 1, 10, 2, 10, 2, 6, 6, 6, 6, 10, 6, 1, 2, 1, 6, 6, 10, 10, 1, 2, 6, 1, 6, 10, 0, 2, 2, 1, 10, 6, 1, 10, 10, 6, 10, 2, 6, 6, 1, 1, 6, 2, 1, 1, 1, 10, 6, 10, 10, 10, 1, 2, 1, 1, 1, 1, 6, 1, 1, 2, 2, 2, 6, 10, 2, 6, 6, 2, 1, 6, 6, 2, 6, 6, 10, 1, 2, 1, 10, 6, 10, 1, 6, 2, 2, 2, 6, 2, 10, 6, 2, 6, 6, 6, 2, 6, 2, 2, 2, 2, 1, 2, 6, 2, 1, 1, 2, 10, 2, 10, 1, 6, 1, 10, 10, 6, 10, 4, 6, 1, 1, 10, 10, 2, 4, 2, 1, 6, 2, 2, 2, 1, 6, 10, 6, 10, 2, 1, 2, 2, 2, 2, 2, 10, 2, 10, 6, 10, 6, 1, 6, 2, 2, 10, 10, 2, 2, 1, 10, 10, 10, 1, 2, 10, 2, 6, 10, 10, 1, 6, 2, 10, 10, 2, 1, 1, 10, 10, 2, 6, 10, 2, 1, 1, 1, 6, 2, 6, 10, 10, 6, 10, 2, 6, 10, 6, 2, 2, 2, 6, 6, 2, 2, 10, 2, 10, 10, 1, 1, 1, 1, 6, 6, 1, 1, 10, 1, 1, 1, 10, 1, 1, 6, 10, 10, 10, 6, 2, 10, 6, 10, 1, 2, 6, 10, 6, 6, 10, 6, 2, 6, 1, 2, 6, 6, 6, 1, 1, 2, 6, 9, 6, 10, 6, 10, 2, 4, 6, 2, 10, 6, 10, 2, 10, 1, 2, 1, 6, 6, 2, 1, 6, 2, 10, 10, 9, 1, 1, 1, 1, 2, 10, 2, 1, 2, 2, 2, 4, 6, 6, 2, 6, 2, 1, 2, 1, 1, 1, 2, 6, 1, 2, 6, 10, 6, 10, 1, 1, 1, 10, 1, 2, 2, 10, 2, 9, 2, 9, 10, 6, 9, 1, 1, 2, 10, 2, 2, 1, 1, 6, 1, 1, 6, 1, 6, 2, 6, 1, 6, 1, 10, 6, 6, 2, 10, 10, 2, 10, 1, 6, 4, 2, 2, 10, 10, 2, 6, 2, 1, 10, 2, 2, 6, 6, 10, 2, 1, 1, 10, 6, 1, 1, 2, 6, 1, 6, 6, 1, 10, 6, 2, 6, 2, 6, 10, 6, 2, 6, 1, 10, 1, 6, 1, 6, 1, 10, 2, 10, 1, 6, 1, 6, 6, 6, 6, 6, 6, 10, 2, 2, 1, 2, 2, 2, 2, 1, 10, 1, 6, 1, 1, 10, 2, 10, 6, 10, 10, 1, 2, 6, 2, 6, 2, 10, 10, 6, 2, 1, 10, 10, 10, 10, 6, 6, 1, 1, 1, 1, 8, 1, 1, 6, 1, 0, 10, 6, 6, 10, 1, 2, 0, 6, 1, 2, 6, 10, 2, 6, 1, 6, 6, 10, 6, 6, 1, 2, 1, 6, 10, 6, 2, 2, 2, 1, 10, 1, 1, 2, 6, 10, 10, 2, 10, 2, 1, 6, 6, 6, 1, 10, 2, 10, 10, 1, 6, 6, 1, 6, 10, 1, 1, 1, 2, 10, 2, 2, 1, 2, 6, 2, 1, 2, 1, 2, 10, 10, 2, 10, 6, 1, 1, 6, 1, 6, 6, 6, 1, 6, 6, 1, 10, 6, 6, 6, 6, 10, 2, 1, 1, 2, 1, 10, 10, 10, 6, 10, 2, 1, 10, 2, 10, 1, 6, 1, 2, 2, 10, 2, 1, 10, 6, 50, 10, 6, 2, 6, 10, 10, 10, 1, 2, 6, 10, 1, 10, 6, 1, 1, 1, 6, 2, 6, 2, 1, 6, 6, 6, 2, 1, 10, 6, 1, 10, 0, 2, 2, 2, 10, 10, 10, 2, 2, 6, 1, 2, 10, 1, 2, 0, 2, 2, 6, 2, 2, 10, 10, 6, 10, 2, 1, 2, 10, 5, 1, 10, 6, 2, 6, 2, 2, 6, 1, 2, 1, 6, 2, 10, 1, 1, 1, 6, 6, 2, 2, 6, 2, 10, 1, 1, 2, 1, 6, 2, 1, 1, 10, 6, 10, 1, 1, 2, 2, 10, 10, 10, 2, 10, 1, 2, 6, 50, 1, 1, 10, 5, 6, 10, 9, 6, 1, 10, 1, 2, 10, 1, 10, 10, 10, 2, 10, 10, 10, 10, 10, 2, 2, 1, 1, 6, 2, 4, 5, 2, 10, 1, 10, 6, 2, 10, 6, 1, 6, 10, 2, 10, 1, 1, 1, 0, 1, 1, 2, 2, 6, 2, 2, 10, 6, 1, 2, 6, 2, 1, 1, 1, 1, 6, 10, 4, 2, 2, 2, 1, 10, 1, 6, 6, 1, 10, 6, 10, 6, 10, 10, 6, 10, 10, 1, 6, 10, 6, 2, 2, 6, 10, 10, 6, 2, 6, 2, 6, 2, 10, 10, 10, 1, 6, 2, 6, 10, 1, 6, 1, 2, 1, 6, 1, 1, 2, 6, 2, 1, 1, 2, 6, 6, 2, 6, 2, 2, 6, 2, 2, 6, 6, 6, 1, 6, 6, 6, 10, 2, 10, 2, 6, 10, 10, 1, 1, 10, 10, 6, 1, 2, 1, 10, 2, 10, 1, 10, 2, 1, 1, 6, 10, 6, 10, 1, 6, 6, 0, 6, 2, 2, 5, 2, 2, 10, 2, 6, 10, 2, 6, 2, 6, 1, 2, 6, 1, 1, 6, 1, 10, 1, 10, 6, 6, 1, 10, 6, 2, 6, 1, 1, 2, 1, 2, 2, 6, 10, 10, 5, 10, 2, 2, 1, 1, 10, 2, 1, 10, 2, 1, 2, 2, 6, 2, 6, 9, 1, 10, 10, 10, 10, 6, 6, 10, 6, 1, 10, 6, 2, 1, 2, 6, 10, 2, 2, 1, 6, 1, 1, 10, 10, 1, 1, 10, 2, 6, 2, 2, 2, 1, 2, 6, 1, 6, 2, 10, 6, 1, 6, 2, 6, 6, 10, 2, 1, 6, 10, 10, 1, 10, 6, 10, 1, 2, 10, 0, 2, 10, 2, 2, 2, 2, 10, 10, 2, 2, 10, 10, 2, 2, 10, 2, 2, 10, 6, 6, 10, 6, 2, 10, 2, 10, 2, 10, 10, 2, 1, 6, 2, 2, 10, 6, 1, 4, 6, 10, 6, 1, 2, 10, 2, 1, 1, 6, 1, 2, 1, 10, 1, 1, 1, 1, 10, 1, 10, 2, 1, 10, 2, 10, 1, 10, 6, 60, 6, 2, 2, 10, 10, 1, 6, 2, 6, 1, 10, 1, 6, 2, 6, 10, 2, 10, 2, 10, 1, 2, 2, 6, 2, 2, 2, 6, 10, 10, 6, 6, 10, 2, 2, 10, 2, 2, 10, 5, 2, 1, 1, 6, 10, 2, 10, 1, 2, 6, 6, 2, 2, 1, 4, 6, 1, 10, 10, 10, 1, 1, 1, 2, 2, 1, 6, 6, 6, 2, 1, 2, 10, 1, 10, 6, 6, 1, 1, 10, 6, 1, 1, 1, 9, 2, 1, 6, 10, 6, 10, 1, 1, 2, 2, 10, 10, 2, 2, 10, 1, 6, 4, 1, 6, 6, 2, 10, 6, 10, 2, 10, 1, 5, 2, 1, 10, 6, 10, 6, 1, 6, 6, 2, 1, 1, 10, 6, 6, 6, 2, 2, 1, 2, 10, 1, 2, 6, 2, 9, 10, 2, 6, 1, 10, 1, 10, 10, 1, 10, 1, 1, 6, 10, 10, 2, 6, 2, 2, 6, 1, 10, 1, 10, 10, 6, 6, 1, 6, 2, 6, 2, 2, 10, 6, 6, 10, 6, 10, 6, 1, 6, 10, 10, 1, 2, 10, 6, 6, 1, 10, 2, 1, 2, 10, 6, 2, 6, 1, 2, 1, 6, 10, 6, 1, 2, 10, 2, 6, 1, 5, 6, 2, 10, 1, 2, 6, 1, 2, 1, 6, 2, 10, 10, 2, 2, 10, 10, 1, 1, 10, 2, 10, 1, 10, 1, 1, 1, 6, 10, 1, 6, 2, 1, 2, 6, 1, 2, 10, 6, 1, 6, 2, 2, 5, 1, 1, 6, 1, 6, 2, 10, 10, 2, 1, 1, 10, 1, 1, 1, 10, 2, 6, 6, 6, 10, 1, 2, 1, 1, 10, 1, 6, 6, 10, 1, 2, 6, 2, 6, 1, 1, 1, 2, 10, 6, 6, 1, 5, 6, 1, 6, 2, 10, 1, 6, 10, 2, 2, 10, 10, 6, 6, 2, 1, 2, 10, 6, 6, 1, 2, 6, 6, 2, 2, 10, 10, 2, 10, 10, 6, 1, 6, 1, 2, 2, 10, 1, 1, 9, 6, 2, 2, 1, 1, 1, 10, 10, 10, 6, 10, 1, 6, 2, 2, 10, 2, 6, 10, 1, 10, 1, 1, 10, 1, 2, 1, 1, 10, 9, 5, 6, 1, 10, 1, 1, 10, 2, 1, 10, 1, 2, 10, 2, 10, 1, 1, 10, 10, 10, 10, 10, 6, 2, 1, 1, 10, 6, 2, 5, 6, 6, 10, 10, 2, 10, 1, 2, 1, 2, 10, 6, 6, 1, 6, 1, 1, 6, 10, 10, 1, 10, 6, 1, 10, 2, 2, 10, 10, 2, 1, 10, 1, 10, 2, 6, 1, 6, 10, 10, 1, 10, 10, 2, 4, 2, 2, 10, 10, 10, 10, 2, 10, 10, 1, 2, 2, 6, 1, 2, 6, 1, 10, 6, 2, 6, 6, 6, 2, 2, 1, 1, 4, 1, 6, 6, 10, 6, 10, 2, 6, 10, 10, 6, 10, 6, 1, 10, 6, 1, 1, 6, 10, 1, 1, 6, 10, 6, 6, 10, 2, 1, 2, 10, 1, 2, 1, 2, 2, 1, 6, 1, 2, 1, 2, 10, 1, 1, 2, 1, 1, 10, 10, 10, 6, 2, 10, 1, 5, 1, 1, 1, 10, 2, 6, 0, 6, 10, 2, 1, 6, 9, 10, 10, 1, 6, 10, 1, 1, 6, 10, 1, 2, 1, 2, 10, 10, 2, 2, 2, 2, 1, 6, 6, 2, 6, 10, 6, 1, 2, 1, 6, 2, 6, 2, 1, 10, 1, 6, 10, 2, 2, 6, 10, 2, 10, 2, 2, 1, 1, 6, 4, 6, 6, 1, 10, 6, 2, 2, 6, 6, 2, 6, 4, 6, 10, 10, 6, 6, 2, 10, 1, 6, 2, 1, 10, 6, 2, 10, 2, 1, 6, 10, 10, 6, 6, 2, 6, 6, 10, 2, 10, 1, 2, 2, 2, 2, 1, 10, 1, 6, 1, 2, 10, 6, 10, 1, 10, 10, 2, 1, 10, 10, 6, 10, 1, 1, 1, 6, 10, 10, 10, 6, 1, 6, 2, 6, 2, 1, 6, 2, 6, 6, 10, 2, 6, 9, 6, 2, 6, 6, 10, 0, 10, 2, 10, 10, 10, 2, 2, 6, 10, 1, 1, 2, 1, 6, 6, 1, 10, 2, 2, 6, 6, 1, 2, 1, 10, 1, 10, 6, 1, 6, 1, 10, 10, 6, 10, 1, 10, 1, 2, 10, 1, 2, 10, 2, 10, 2, 10, 2, 6, 6, 6, 1, 1, 2, 1, 1, 10, 6, 10, 10, 2, 9, 10, 1, 6, 1, 6, 2, 1, 6, 6, 10, 2, 6, 2, 1, 10, 6, 6, 6, 10, 1, 1, 6, 1, 2, 6, 6, 2, 10, 10, 2, 10, 6, 2, 6, 1, 2, 10, 2, 10, 2, 6, 10, 2, 10, 1, 2, 6, 2, 1, 10, 1, 6, 10, 10, 1, 6, 6, 2, 2, 2, 2, 10, 2, 6, 2, 10, 2, 10, 10, 2, 10, 10, 1, 1, 10, 6, 10, 6, 10, 10, 6, 6, 1, 10, 9, 10, 10, 6, 2, 1, 6, 2, 1, 1, 1, 10, 1, 10, 10, 1, 1, 1, 2, 10, 1, 1, 1, 6, 6, 2, 0, 2, 2, 2, 2, 1, 10, 10, 2, 1, 1, 2, 2, 6, 10, 2, 2, 6, 1, 2, 1, 1, 6, 1, 1, 10, 6, 6, 2, 6, 6, 9, 6, 10, 6, 6, 10, 1, 2, 6, 10, 6, 2, 6, 2, 10, 1, 2, 1, 1, 2, 10, 6, 10, 2, 1, 6, 1, 10, 5, 10, 1, 2, 1, 6, 1, 10, 1, 6, 10, 6, 2, 1, 2, 10, 1, 6, 10, 10, 5, 6, 1, 1, 10, 1, 2, 2, 10, 10, 1, 10, 10, 10, 6, 6, 6, 10, 6, 6, 10, 6, 6, 2, 6, 6, 6, 5, 2, 6, 2, 10, 6, 1, 6, 2, 1, 2, 6, 1, 2, 10, 10, 6, 2, 10, 10, 2, 2, 10, 6, 10, 5, 1, 2, 1, 1, 1, 6, 1, 10, 1, 2, 6, 10, 10, 10, 2, 6, 10, 2, 6, 1, 2, 2, 1, 5, 2, 10, 6, 10, 6, 6, 6, 6, 2, 10, 6, 6, 6, 6, 1, 1, 10, 10, 2, 10, 2, 1, 1, 2, 10, 2, 10, 2, 6, 2, 6, 6, 10, 6, 2, 1, 2, 2, 10, 10, 1, 2, 1, 6, 1, 1, 10, 4, 6, 6, 2, 1, 6, 10, 1, 10, 2, 1, 10, 10, 2, 6, 1, 1, 2, 6, 5, 2, 2, 1, 10, 6, 2, 6, 1, 1, 1, 2, 2, 6, 1, 6, 6, 6, 6, 2, 2, 6, 1, 6, 10, 1, 6, 2, 6, 1, 6, 2, 6, 6, 6, 6, 1, 6, 10, 1, 10, 2, 1, 2, 50, 10, 10, 10, 10, 10, 6, 10, 2, 2, 1, 2, 2, 10, 6, 1, 10, 2, 6, 2, 6, 1, 1, 2, 1, 10, 10, 6, 6, 10, 1, 1, 1, 10, 2, 1, 10, 10, 6, 6, 10, 10, 10, 2, 10, 10, 2, 9, 2, 2, 1, 2, 10, 2, 2, 6, 2, 2, 2, 10, 9, 2, 10, 6, 9, 10, 2, 1, 10, 2, 10, 6, 1, 1, 2, 6, 6, 6, 2, 2, 2, 10, 6, 1, 6, 1, 10, 6, 1, 10, 10, 10, 10, 10, 6, 2, 2, 2, 2, 2, 10, 2, 2, 1, 2, 2, 1, 6, 10, 6, 10, 2, 2, 6, 6, 1, 1, 2, 10, 2, 6, 10, 2, 6, 10, 1, 10, 6, 2, 1, 1, 1, 1, 2, 4, 6, 10, 2, 10, 10, 2, 10, 6, 10, 6, 1, 6, 2, 1, 2, 2, 10, 10, 10, 1, 1, 10, 1, 6, 2, 10, 6, 10, 9, 6, 1, 10, 10, 10, 1, 1, 10, 2, 1, 1, 10, 6, 2, 2, 2, 2, 2, 10, 0, 6, 2, 2, 2, 6, 6, 2, 6, 1, 2, 10, 6, 10, 1, 6, 6, 2, 6, 6, 6, 10, 1, 0, 2, 2, 2, 2, 4, 2, 1, 2, 0, 10, 10, 10, 1, 10, 2, 1, 6, 1, 6, 6, 2, 1, 10, 2, 1, 6, 4, 6, 1, 2, 1, 2, 10, 6, 2, 6, 6, 2, 6, 6, 0, 6, 1, 10, 1, 10, 1, 2, 6, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 10, 6, 6, 1, 10, 1, 10, 10, 6, 10, 1, 1, 1, 0, 1, 1, 2, 10, 6, 6, 2, 1, 1, 4, 6, 10, 10, 2, 1, 2, 10, 6, 2, 10, 2, 1, 2, 9, 2, 10, 2, 1, 6, 1, 6, 2, 6, 10, 10, 10, 10, 1, 10, 2, 1, 1, 10, 10, 6, 10, 1, 1, 10, 10, 1, 1, 1, 1, 10, 2, 10, 1, 10, 10, 6, 10, 6, 2, 2, 9, 6, 2, 6, 10, 1, 1, 10, 1, 2, 1, 10, 6, 5, 10, 10, 10, 10, 6, 2, 2, 2, 1, 1, 10, 6, 6, 1, 2, 10, 2, 1, 1, 10, 1, 6, 2, 1, 2, 10, 1, 2, 2, 1, 6, 6, 10, 1, 10, 2, 2, 1, 10, 4, 1, 10, 1, 1, 2, 2, 2, 1, 1, 6, 1, 10, 10, 10, 2, 2, 6, 1, 1, 6, 1, 2, 1, 2, 10, 1, 6, 10, 2, 6, 2, 6, 2, 6, 1, 1, 1, 10, 6, 6, 10, 6, 2, 2, 10, 10, 6, 6, 2, 6, 10, 1, 2, 2, 10, 6, 4, 10, 2, 2, 2, 1, 10, 2, 1, 2, 6, 1, 6, 10, 1, 2, 2, 10, 2, 0, 1, 2, 10, 6, 1, 1, 6, 10, 1, 1, 10, 1, 6, 1, 1, 2, 1, 2, 6, 1, 1, 10, 10, 2, 6, 10, 2, 6, 10, 4, 10, 10, 0, 10, 10, 1, 1, 1, 10, 10, 10, 6, 2, 1, 1, 10, 5, 6, 1, 6, 10, 10, 1, 5, 6, 10, 10, 1, 10, 2, 2, 2, 6, 2, 10, 1, 10, 6, 10, 2, 10, 6, 1, 1, 2, 10, 1, 2, 1, 10, 6, 2, 6, 6, 1, 10, 6, 1, 2, 1, 1, 6, 6, 10, 10, 10, 2, 10, 2, 2, 10, 1, 2, 1, 1, 10, 10, 1, 6, 10, 1, 2, 10, 6, 1, 6, 2, 2, 1, 2, 1, 2, 10, 2, 6, 1, 10, 6, 6, 10, 2, 6, 2, 6, 2, 2, 6, 6, 2, 2, 6, 10, 2, 6, 10, 1, 6, 6, 6, 1, 6, 6, 2, 2, 10, 1, 6, 2, 2, 1, 2, 6, 2, 2, 2, 4, 10, 1, 2, 2, 2, 10, 1, 1, 6, 10, 1, 2, 2, 6, 2, 6, 10, 10, 2, 2, 1, 2, 10, 10, 2, 2, 10, 1, 6, 6, 6, 2, 6, 2, 10, 6, 1, 1, 2, 10, 1, 6, 2, 1, 1, 2, 10, 10, 10, 10, 1, 10, 0, 1, 1, 1, 9, 2, 1, 1, 10, 1, 10, 2, 2, 10, 2, 6, 0, 2, 1, 2, 2, 6, 2, 10, 6, 6, 2, 0, 9, 2, 10, 1, 10, 1, 2, 6, 4, 2, 6, 10, 1, 6, 2, 10, 1, 2, 10, 2, 2, 2, 2, 1, 6, 2, 6, 6, 6, 1, 10, 6, 10, 2, 10, 6, 10, 6, 1, 4, 6, 6, 6, 6, 6, 2, 1, 6, 1, 6, 10, 1, 2, 6, 6, 1, 6, 10, 1, 6, 10, 6, 6, 6, 1, 1, 1, 10, 10, 6, 10, 10, 6, 10, 1, 10, 1, 1, 2, 6, 1, 6, 2, 2, 2, 2, 10, 10, 6, 1, 6, 10, 6, 2, 2, 10, 6, 6, 1, 6, 9, 1, 10, 2, 2, 10, 2, 10, 6, 1, 6, 2, 2, 6, 10, 10, 2, 2, 6, 2, 6, 10, 10, 10, 10, 1, 1, 2, 2, 10, 1, 2, 1, 6, 10, 10, 1, 10, 10, 10, 6, 1, 10, 2, 10, 10, 1, 10, 6, 6, 1, 1, 2, 6, 6, 6, 2, 1, 10, 10, 1, 2, 10, 2, 1, 1, 1, 9, 2, 10, 2, 1, 1, 10, 1, 2, 10, 1, 6, 10, 10, 9, 10, 1, 6, 6, 10, 1, 2, 6, 2, 10, 6, 1, 1, 10, 6, 1, 1, 10, 6, 1, 10, 2, 10, 6, 1, 2, 10, 6, 1, 10, 1, 1, 1, 2, 6, 2, 1, 10, 1, 2, 10, 1, 10, 1, 6, 10, 6, 2, 10, 1, 6, 1, 1, 10, 6, 6, 6, 1, 6, 1, 2, 1, 1, 6, 10, 10, 6, 2, 10, 1, 5, 2, 10, 6, 2, 6, 10, 1, 6, 1, 10, 5, 1, 2, 2, 1, 2, 6, 6, 10, 2, 6, 2, 10, 1, 6, 10, 2, 1, 2, 10, 10, 6, 6, 2, 2, 1, 1, 6, 2, 2, 6, 1, 2, 6, 2, 6, 1, 1, 2, 2, 2, 2, 10, 1, 1, 1, 2, 1, 6, 6, 10, 1, 1, 1, 10, 1, 6, 6, 10, 2, 2, 4, 6, 1, 5, 6, 10, 2, 2, 1, 2, 10, 6, 6, 1, 2, 10, 1, 6, 1, 1, 10, 2, 1, 6, 6, 2, 6, 2, 10, 10, 2, 10, 10, 6, 2, 6, 1, 1, 6, 6, 1, 2, 2, 0, 2, 6, 10, 2, 2, 10, 1, 10, 4, 10, 1, 10, 6, 10, 10, 6, 1, 6, 10, 6, 6, 10, 10, 6, 6, 6, 10, 6, 10, 10, 10, 2, 6, 6, 6, 1, 6, 6, 10, 1, 1, 1, 1, 2, 6, 6, 1, 2, 2, 2, 2, 6, 2, 6, 6, 2, 2, 1, 6, 1, 1, 10, 2, 6, 2, 2, 10, 6, 2, 10, 10, 1, 2, 2, 1, 10, 1, 1, 10, 10, 6, 2, 1, 2, 2, 1, 2, 6, 2, 6, 6, 10, 1, 1, 10, 1, 1, 2, 4, 1, 6, 2, 2, 10, 2, 1, 1, 10, 2, 6, 6, 1, 2, 6, 10, 2, 10, 2, 10, 2, 6, 10, 6, 6, 2, 1, 2, 2, 2, 10, 1, 10, 10, 1, 2, 2, 6, 2, 2, 2, 1, 10, 2, 10, 10, 1, 1, 2, 2, 2, 6, 5, 10, 1, 6, 10, 6, 6, 1, 2, 6, 2, 6, 6, 1, 10, 10, 2, 1, 6, 1, 2, 6, 10, 1, 2, 10, 2, 10, 5, 2, 6, 10, 6, 10, 1, 1, 6, 10, 6, 1, 2, 1, 1, 2, 2, 10, 6, 9, 2, 6, 2, 1, 10, 6, 10, 6, 1, 2, 6, 1, 1, 6, 10, 6, 1, 1, 6, 2, 10, 6, 2, 1, 10, 2, 2, 2, 10, 2, 10, 2, 1, 10, 10, 10, 10, 6, 1, 6, 6, 6, 1, 5, 10, 2, 2, 2, 10, 10, 6, 2, 10, 2, 10, 10, 2, 1, 10, 1, 10, 1, 10, 6, 6, 1, 1, 2, 6, 2, 2, 10, 1, 1, 2, 6, 2, 1, 10, 2, 10, 2, 1, 10, 1, 10, 6, 6, 2, 6, 10, 2, 6, 2, 1, 10, 1, 6, 6, 6, 6, 10, 2, 2, 6, 6, 10, 6, 2, 2, 6, 10, 1, 2, 2, 1, 1, 2, 2, 1, 6, 2, 2, 9, 10, 6, 2, 6, 2, 2, 1, 10, 10, 1, 2, 6, 10, 2, 1, 10, 1, 4, 10, 6, 10, 10, 6, 6, 2, 6, 1, 9, 2, 2, 1, 10, 2, 1, 10, 6, 10, 1, 10, 1, 2, 6, 10, 1, 10, 1, 1, 1, 1, 6, 6, 1, 1, 2, 2, 2, 10, 1, 10, 1, 6, 6, 40, 10, 1, 6, 2, 1, 2, 1, 10, 2, 6, 1, 10, 6, 2, 6, 1, 10, 1, 10, 1, 6, 6, 2, 1, 2, 6, 2, 2, 1, 2, 1, 10, 6, 1, 10, 10, 2, 1, 1, 6, 10, 10, 2, 6, 6, 10, 1, 10, 1, 10, 1, 2, 1, 6, 6, 1, 6, 6, 2, 0, 6, 10, 2, 1, 10, 10, 2, 2, 6, 6, 2, 2, 2, 2, 10, 2, 2, 10, 6, 1, 10, 1, 2, 1, 1, 10, 6, 10, 5, 1, 10, 6, 10, 10, 1, 2, 2, 6, 6, 1, 1, 10, 1, 10, 10, 10, 10, 10, 10, 6, 6, 1, 2, 1, 10, 10, 10, 1, 1, 1, 10, 6, 10, 6, 2, 10, 1, 6, 1, 6, 1, 10, 0, 9, 2, 1, 10, 1, 10, 2, 6, 10, 10, 10, 6, 2, 2, 1, 1, 2, 10, 2, 1, 1, 6, 2, 2, 1, 10, 2, 10, 2, 2, 10, 2, 10, 1, 9, 1, 10, 2, 2, 10, 2, 6, 10, 1, 2, 10, 2, 1, 2, 10, 10, 6, 2, 10, 2, 6, 1, 1, 1, 2, 1, 10, 10, 6, 6, 10, 10, 2, 6, 10, 10, 2, 6, 6, 6, 1, 2, 6, 1, 10, 10, 6, 1, 6, 2, 10, 1, 6, 6, 2, 10, 6, 2, 6, 10, 2, 10, 1, 6, 1, 1, 10, 2, 1, 6, 1, 2, 1, 10, 2, 1, 2, 6, 6, 10, 10, 6, 2, 1, 6, 2, 2, 6, 6, 2, 6, 2, 10, 1, 6, 6, 6, 1, 6, 1, 10, 1, 6, 2, 10, 10, 6, 2, 2, 2, 6, 10, 1, 1, 6, 10, 1, 4, 6, 10, 10, 6, 6, 10, 10, 10, 1, 10, 10, 2, 10, 2, 1, 10, 2, 10, 6, 6, 2, 10, 6, 2, 1, 6, 6, 6, 2, 1, 10, 6, 10, 1, 6, 2, 6, 10, 1, 1, 1, 6, 1, 1, 2, 1, 1, 2, 6, 6, 10, 10, 10, 6, 2, 6, 1, 1, 2, 1, 1, 2, 1, 2, 6, 6, 1, 6, 1, 10, 1, 10, 6, 10, 6, 6, 10, 6, 10, 6, 5, 2, 2, 2, 10, 2, 2, 5, 1, 2, 1, 6, 1, 1, 10, 2, 10, 2, 10, 9, 2, 1, 10, 2, 6, 1, 6, 2, 6, 1, 2, 10, 9, 10, 2, 10, 1, 2, 2, 6, 6, 6, 6, 1, 10, 10, 2, 10, 1, 2, 2, 2, 2, 10, 0, 10, 2, 10, 6, 1, 10, 1, 2, 6, 6, 1, 10, 10, 10, 2, 2, 6, 6, 5, 10, 1, 10, 10, 2, 2, 1, 2, 2, 6, 2, 1, 1, 6, 10, 6, 1, 1, 2, 10, 10, 1, 10, 10, 1, 10, 10, 10, 6, 2, 10, 1, 1, 1, 10, 1, 10, 6, 1, 10, 10, 6, 1, 6, 10, 1, 10, 2, 5, 2, 6, 2, 2, 6, 1, 2, 2, 6, 6, 10, 1, 6, 2, 2, 1, 10, 2, 2, 6, 10, 2, 6, 0, 6, 10, 6, 1, 2, 6, 6, 2, 10, 2, 2, 1, 10, 1, 6, 6, 10, 1, 10, 1, 1, 1, 2, 10, 2, 2, 6, 2, 1, 2, 2, 2, 2, 2, 6, 6, 6, 2, 1, 2, 10, 2, 10, 0, 1, 1, 2, 2, 6, 6, 10, 6, 2, 10, 10, 2, 2, 10, 1, 2, 1, 2, 2, 1, 6, 1, 1, 6, 2, 10, 2, 6, 2, 10, 2, 10, 10, 2, 10, 10, 10, 2, 6, 1, 2, 6, 2, 2, 2, 6, 6, 1, 10, 10, 1, 10, 6, 2, 6, 6, 10, 10, 6, 6, 1, 10, 6, 6, 2, 1, 10, 2, 2, 1, 10, 2, 1, 1, 1, 1, 10, 6, 2, 10, 6, 1, 1, 2, 2, 6, 2, 1, 2, 10, 2, 1, 6, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 10, 4, 2, 10, 1, 2, 2, 2, 2, 6, 10, 2, 2, 6, 6, 6, 2, 6, 10, 6, 10, 2, 0, 2, 10, 2, 1, 10, 6, 6, 2, 1, 2, 1, 2, 10, 6, 10, 10, 6, 2, 2, 10, 10, 6, 2, 2, 10, 10, 2, 2, 6, 6, 1, 6, 1, 6, 2, 10, 10, 1, 10, 2, 10, 10, 10, 2, 6, 1, 6, 6, 10, 2, 1, 10, 1, 1, 6, 6, 6, 6, 2, 1, 1, 2, 10, 1, 6, 1, 1, 2, 1, 1, 6, 1, 2, 1, 2, 1, 6, 10, 10, 10, 10, 10, 1, 1, 1, 2, 2, 10, 1, 10, 1, 2, 10, 2, 1, 2, 6, 2, 2, 10, 2, 1, 1, 10, 1, 6, 1, 10, 2, 1, 10, 1, 1, 2, 6, 10, 2, 2, 2, 6, 2, 10, 1, 2, 2, 6, 6, 2, 2, 10, 1, 10, 6, 1, 6, 10, 6, 2, 10, 2, 1, 6, 2, 2, 1, 1, 1, 1, 2, 2, 10, 10, 6, 2, 1, 6, 6, 10, 2, 10, 2, 1, 2, 6, 1, 6, 10, 10, 6, 6, 2, 6, 10, 9, 10, 2, 6, 4, 2, 10, 1, 6, 6, 1, 2, 1, 1, 6, 2, 1, 2, 10, 6, 10, 10, 1, 10, 10, 2, 1, 2, 6, 2, 2, 6, 6, 60, 10, 5, 6, 2, 6, 6, 10, 2, 1, 6, 2, 2, 10, 10, 1, 10, 1, 2, 5, 6, 1, 6, 10, 2, 10, 1, 6, 5, 10, 1, 2, 6, 6, 1, 2, 2, 1, 1, 6, 2, 1, 1, 6, 1, 10, 2, 6, 2, 1, 2, 6, 6, 10, 2, 2, 6, 6, 2, 10, 10, 2, 6, 6, 2, 9, 10, 10, 6, 1, 6, 1, 6, 1, 10, 10, 1, 2, 6, 6, 2, 10, 6, 1, 10, 10, 6, 6, 10, 1, 6, 2, 6, 6, 10, 6, 2, 10, 10, 2, 4, 2, 1, 10, 10, 6, 10, 0, 1, 6, 2, 2, 6, 6, 10, 2, 10, 10, 6, 6, 6, 2, 10, 2, 1, 10, 1, 6, 10, 1, 2, 1, 6, 10, 1, 2, 0, 9, 2, 10, 10, 10, 1, 2, 1, 10, 6, 2, 2, 4, 10, 6, 6, 2, 1, 10, 10, 1, 10, 1, 1, 10, 10, 1, 1, 1, 1, 10, 6, 6, 2, 2, 1, 1, 10, 10, 1, 6, 6, 10, 2, 10, 10, 1, 1, 10, 2, 2, 2, 2, 2, 2, 2, 6, 6, 1, 1, 1, 1, 1, 6, 6, 6, 10, 10, 6, 2, 6, 6, 1, 2, 0, 1, 10, 10, 1, 1, 6, 6, 10, 1, 10, 10, 6, 2, 2, 10, 1, 10, 6, 2, 2, 2, 1, 6, 1, 2, 2, 10, 1, 1, 2, 2, 1, 6, 10, 1, 1, 1, 2, 0, 6, 10, 1, 6, 10, 1, 10, 1, 1, 1, 10, 10, 1, 6, 4, 1, 6, 6, 1, 10, 6, 2, 9, 6, 1, 2, 1, 1, 10, 2, 10, 6, 10, 6, 1, 6, 6, 1, 2, 10, 10, 1, 2, 1, 10, 1, 2, 10, 1, 2, 10, 1, 10, 2, 2, 10, 6, 1, 6, 10, 1, 10, 2, 10, 10, 6, 10, 2, 2, 6, 1, 6, 10, 10, 6, 6, 6, 6, 6, 2, 10, 1, 10, 6, 1, 1, 2, 6, 2, 6, 2, 1, 2, 6, 10, 10, 2, 2, 2, 1, 6, 2, 6, 6, 10, 1, 6, 10, 1, 1, 1, 1, 2, 1, 1, 10, 6, 2, 10, 6, 1, 6, 1, 1, 10, 2, 2, 6, 10, 10, 2, 4, 6, 1, 10, 2, 6, 6, 1, 2, 10, 0, 1, 6, 10, 10, 10, 1, 1, 6, 10, 2, 6, 10, 6, 6, 2, 1, 6, 1, 1, 6, 2, 10, 2, 1, 2, 1, 10, 10, 2, 10, 1, 6, 10, 10, 6, 10, 2, 2, 6, 1, 6, 1, 10, 6, 1, 9, 6, 6, 2, 6, 2, 1, 6, 10, 10, 6, 1, 6, 10, 1, 2, 1, 2, 1, 10, 6, 1, 2, 2, 6, 10, 10, 1, 1, 10, 6, 10, 6, 2, 2, 1, 2, 10, 6, 1, 1, 6, 1, 2, 2, 2, 6, 4, 1, 2, 6, 6, 1, 10, 6, 10, 6, 2, 10, 2, 0, 10, 1, 6, 2, 6, 6, 9, 10, 10, 1, 2, 2, 6, 1, 2, 10, 10, 6, 6, 9, 5, 2, 2, 6, 2, 10, 1, 2, 0, 2, 10, 2, 6, 1, 6, 2, 2, 2, 1, 2, 1, 2, 6, 10, 2, 10, 1, 1, 1, 6, 2, 1, 6, 6, 2, 6, 2, 10, 1, 10, 2, 6, 6, 6, 10, 2, 10, 2, 6, 10, 2, 10, 2, 1, 1, 10, 1, 10, 6, 6, 6, 10, 1, 10, 1, 1, 1, 6, 10, 6, 10, 2, 1, 1, 10, 6, 2, 10, 1, 2, 10, 6, 1, 1, 1, 1, 10, 1, 10, 1, 1, 6, 10, 10, 2, 10, 10, 1, 1, 6, 4, 2, 1, 10, 10, 10, 1, 6, 6, 1, 1, 1, 6, 1, 10, 10, 6, 2, 10, 2, 1, 10, 2, 2, 1, 10, 6, 10, 1, 6, 2, 10, 1, 1, 2, 1, 2, 10, 1, 1, 6, 2, 10, 1, 10, 10, 10, 6, 6, 6, 2, 2, 9, 1, 1, 10, 2, 10, 2, 6, 6, 10, 10, 5, 1, 10, 6, 10, 1, 1, 6, 6, 10, 6, 2, 2, 1, 1, 2, 2, 2, 6, 6, 10, 1, 1, 6, 6, 10, 6, 1, 10, 10, 6, 10, 6, 2, 1, 1, 10, 1, 2, 0, 10, 10, 6, 2, 2, 1, 6, 2, 6, 2, 10, 10, 2, 6, 2, 2, 10, 1, 6, 1, 1, 6, 10, 1, 2, 1, 1, 2, 2, 6, 1, 6, 1, 10, 6, 1, 9, 10, 6, 2, 10, 1, 6, 2, 6, 2, 1, 1, 0, 6, 2, 2, 10, 6, 2, 1, 1, 2, 9, 10, 2, 6, 6, 6, 1, 2, 10, 2, 6, 6, 1, 6, 2, 10, 1, 6, 10, 6, 2, 6, 10, 6, 6, 6, 6, 6, 1, 6, 2, 10, 10, 1, 6, 2, 2, 1, 2, 1, 2, 6, 10, 2, 2, 1, 10, 2, 10, 10, 1, 10, 10, 6, 6, 6, 10, 6, 6, 2, 2, 10, 1, 10, 2, 6, 10, 6, 6, 10, 2, 1, 6, 1, 6, 2, 2, 2, 2, 2, 2, 10, 6, 2, 10, 10, 10, 1, 2, 1, 2, 6, 6, 1, 2, 10, 10, 10, 2, 2, 2, 1, 10, 6, 2, 6, 1, 1, 10, 6, 1, 6, 6, 6, 6, 2, 10, 2, 6, 10, 6, 1, 2, 6, 1, 1, 1, 10, 2, 5, 6, 6, 1, 10, 6, 10, 2, 10, 1, 10, 10, 10, 6, 10, 6, 10, 10, 2, 10, 1, 10, 10, 10, 10, 1, 2, 9, 2, 6, 1, 10, 10, 6, 2, 2, 2, 6, 1, 6, 2, 1, 6, 6, 2, 2, 2, 6, 1, 1, 1, 10, 1, 6, 2, 1, 10, 6, 2, 10, 2, 6, 2, 10, 1, 2, 10, 2, 10, 10, 1, 2, 6, 1, 4, 1, 10, 6, 10, 6, 6, 10, 10, 5, 2, 2, 1, 6, 6, 2, 1, 2, 2, 10, 1, 1, 10, 2, 6, 1, 10, 1, 2, 10, 6, 10, 2, 6, 10, 1, 6, 6, 1, 2, 2, 2, 10, 10, 6, 6, 6, 1, 10, 2, 6, 10, 6, 2, 1, 10, 6, 6, 1, 6, 6, 1, 2, 6, 6, 2, 6, 10, 2, 5, 2, 2, 2, 1, 6, 6, 6, 1, 2, 1, 10, 1, 6, 6, 1, 1, 2, 10, 10, 4, 10, 2, 9, 6, 2, 1, 2, 10, 0, 6, 10, 2, 10, 10, 10, 10, 10, 10, 2, 10, 10, 6, 1, 2, 5, 0, 1, 1, 1, 6, 1, 10, 10, 2, 2, 1, 1, 9, 10, 2, 6, 6, 10, 1, 9, 2, 10, 1, 10, 6, 2, 2, 2, 1, 10, 2, 2, 6, 10, 10, 2, 2, 4, 10, 10, 6, 10, 6, 10, 10, 6, 1, 1, 10, 2, 6, 1, 1, 2, 2, 1, 6, 1, 6, 10, 6, 10, 1, 6, 2, 1, 1, 2, 4, 0, 6, 10, 2, 2, 10, 10, 6, 2, 6, 2, 2, 2, 1, 2, 6, 6, 9, 1, 6, 6, 1, 10, 2, 2, 10, 10, 1, 6, 2, 6, 1, 10, 6, 2, 2, 6, 1, 2, 10, 10, 2, 10, 1, 10, 10, 1, 1, 2, 2, 10, 2, 6, 2, 8, 10, 6, 1, 6, 1, 10, 1, 10, 1, 10, 10, 2, 1, 9, 6, 10, 6, 10, 10, 1, 10, 2, 9, 10, 10, 2, 10, 1, 2, 1, 6, 2, 10, 2, 1, 10, 6, 6, 10, 10, 6, 10, 6, 1, 10, 2, 10, 6, 2, 10, 1, 1, 6, 1, 10, 1, 1, 10, 2, 6, 6, 6, 6, 10, 1, 10, 2, 2, 2, 10, 10, 2, 2, 2, 10, 6, 6, 6, 10, 2, 10, 10, 4, 1, 1, 2, 10, 10, 10, 6, 10, 1, 1, 10, 6, 1, 10, 4, 2, 1, 6, 2, 6, 10, 10, 10, 10, 10, 10, 2, 2, 6, 1, 2, 6, 2, 10, 10, 10, 1, 1, 6, 6, 2, 6, 10, 1, 6, 6, 2, 2, 10, 2, 1, 2, 6, 2, 1, 6, 1, 10, 10, 10, 1, 6, 2, 10, 6, 1, 2, 6, 10, 10, 10, 10, 6, 2, 6, 2, 2, 10, 1, 2, 2, 2, 10, 10, 2, 10, 1, 10, 1, 10, 10, 6, 6, 4, 1, 10, 2, 10, 2, 1, 6, 1, 1, 40, 2, 6, 1, 2, 1, 1, 6, 2, 10, 2, 2, 1, 6, 2, 6, 2, 1, 10, 1, 1, 2, 2, 2, 2, 6, 1, 10, 1, 2, 1, 10, 10, 2, 6, 2, 6, 1, 2, 10, 1, 2, 10, 2, 9, 1, 1, 1, 2, 6, 10, 9, 2, 1, 1, 1, 1, 2, 2, 1, 10, 1, 1, 6, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 10, 6, 6, 10, 1, 1, 10, 1, 4, 10, 2, 10, 10, 6, 10, 1, 1, 2, 1, 1, 2, 2, 10, 2, 0, 0, 1, 2, 1, 10, 2, 6, 6, 10, 2, 1, 2, 5, 10, 0, 10, 6, 10, 1, 10, 10, 10, 5, 2, 1, 6, 10, 10, 6, 2, 6, 6, 1, 6, 1, 2, 2, 1, 2, 6, 6, 2, 0, 6, 1, 6, 40, 2, 6, 6, 6, 5, 50, 10, 10, 2, 1, 1, 2, 10, 1, 6, 2, 6, 1, 1, 1, 1, 2, 10, 6, 10, 10, 10, 1, 6, 1, 6, 0, 9, 6, 1, 2, 6, 2, 6, 1, 10, 2, 1, 6, 2, 10, 1, 1, 2, 2, 6, 2, 1, 10, 1, 6, 6, 2, 1, 1, 1, 10, 1, 10, 2, 1, 10, 10, 6, 10, 1, 1, 9, 6, 2, 2, 10, 6, 1, 6, 6, 10, 6, 6, 1, 1, 5, 10, 2, 1, 9, 1, 10, 2, 6, 6, 10, 2, 6, 6, 1, 9, 1, 2, 10, 2, 10, 6, 6, 1, 1, 10, 2, 1, 1, 1, 1, 10, 5, 6, 6, 6, 10, 1, 10, 6, 2, 1, 1, 6, 10, 2, 6, 6, 1, 10, 10, 2, 6, 10, 1, 10, 1, 2, 8, 2, 9, 10, 6, 1, 10, 6, 2, 6, 10, 2, 2, 10, 2, 10, 1, 2, 1, 2, 1, 10, 1, 10, 10, 2, 1, 10, 2, 6, 2, 1, 1, 10, 10, 6, 6, 10, 2, 2, 2, 1, 5, 6, 10, 1, 10, 1, 9, 6, 1, 1, 2, 2, 6, 10, 1, 6, 6, 1, 6, 2, 2, 2, 10, 10, 6, 6, 6, 1, 10, 1, 1, 1, 1, 1, 2, 6, 6, 2, 1, 6, 1, 1, 2, 10, 2, 1, 1, 6, 2, 10, 1, 10, 6, 6, 1, 2, 2, 2, 6, 6, 2, 1, 4, 1, 4, 1, 6, 2, 1, 1, 6, 1, 10, 6, 6, 10, 1, 1, 6, 6, 2, 4, 6, 1, 10, 1, 2, 2, 6, 6, 0, 6, 10, 5, 10, 1, 1, 1, 6, 1, 2, 6, 10, 10, 10, 6, 1, 6, 6, 1, 10, 1, 5, 2, 2, 2, 1, 2, 2, 6, 6, 1, 1, 10, 6, 2, 6, 2, 1, 6, 1, 10, 6, 6, 10, 2, 10, 10, 6, 1, 2, 1, 1, 2, 2, 10, 10, 4, 10, 10, 10, 2, 6, 2, 6, 6, 1, 1, 10, 1, 1, 6, 5, 10, 6, 1, 10, 6, 1, 6, 2, 10, 6, 2, 1, 10, 1, 1, 6, 0, 6, 6, 10, 10, 10, 6, 1, 1, 1, 6, 1, 6, 2, 10, 2, 2, 5, 6, 1, 1, 6, 10, 10, 2, 10, 1, 1, 2, 1, 6, 2, 2, 9, 10, 10, 2, 5, 6, 10, 6, 1, 2, 10, 2, 10, 10, 10, 1, 6, 6, 6, 2, 10, 6, 6, 1, 1, 10, 2, 1, 1, 2, 10, 6, 6, 6, 1, 1, 10, 6, 2, 2, 10, 0, 6, 2, 1, 10, 1, 1, 1, 10, 2, 2, 10, 2, 1, 10, 6, 6, 6, 2, 1, 1, 10, 6, 6, 2, 6, 1, 0, 6, 10, 10, 6, 2, 1, 10, 1, 1, 6, 2, 1, 2, 1, 2, 2, 10, 1, 6, 6, 2, 2, 10, 10, 10, 6, 10, 2, 2, 10, 2, 1, 2, 6, 1, 6, 10, 1, 1, 10, 10, 10, 10, 2, 1, 10, 10, 2, 6, 6, 2, 10, 2, 6, 10, 2, 10, 10, 10, 2, 4, 1, 10, 2, 10, 10, 10, 1, 10, 1, 2, 10, 2, 6, 10, 6, 1, 6, 1, 10, 1, 6, 2, 10, 10, 10, 10, 6, 1, 1, 10, 10, 2, 6, 6, 10, 1, 1, 1, 2, 10, 10, 2, 6, 0, 10, 6, 1, 10, 2, 6, 2, 2, 1, 6, 10, 2, 6, 2, 1, 1, 2, 6, 2, 10, 1, 6, 10, 10, 6, 10, 10, 2, 2, 2, 2, 1, 6, 1, 10, 2, 2, 1, 1, 6, 2, 0, 6, 6, 1, 10, 6, 10, 1, 10, 6, 2, 6, 1, 1, 10, 6, 1, 10, 2, 2, 10, 10, 0, 10, 1, 2, 10, 6, 9, 2, 10, 1, 6, 6, 2, 10, 6, 2, 6, 1, 6, 2, 1, 6, 10, 2, 10, 1, 10, 1, 10, 6, 2, 6, 1, 10, 2, 2, 2, 1, 10, 2, 10, 2, 2, 2, 1, 6, 10, 1, 10, 2, 10, 10, 2, 1, 1, 6, 1, 6, 6, 1, 10, 10, 1, 6, 0, 2, 2, 1, 6, 1, 1, 6, 2, 10, 2, 2, 10, 2, 1, 6, 10, 2, 1, 10, 10, 2, 2, 10, 2, 6, 1, 1, 2, 1, 1, 1, 5, 10, 1, 10, 1, 6, 2, 6, 2, 6, 10, 6, 2, 6, 1, 10, 1, 1, 6, 2, 6, 10, 1, 1, 6, 2, 6, 6, 10, 10, 4, 6, 10, 2, 9, 10, 6, 2, 2, 1, 1, 10, 6, 1, 1, 1, 6, 10, 1, 1, 2, 6, 2, 10, 6, 1, 10, 1, 1, 1, 2, 6, 10, 10, 6, 2, 2, 1, 1, 10, 10, 2, 10, 1, 2, 6, 2, 10, 2, 6, 2, 10, 1, 6, 6, 1, 6, 2, 2, 2, 10, 2, 1, 6, 1, 2, 2, 6, 10, 1, 2, 6, 2, 10, 2, 10, 6, 6, 2, 2, 1, 6, 4, 2, 9, 6, 10, 1, 6, 6, 2, 10, 10, 6, 1, 1, 6, 2, 2, 2, 10, 6, 6, 6, 10, 1, 2, 2, 10, 2, 10, 6, 10, 10, 6, 1, 1, 1, 2, 10, 10, 1, 2, 2, 6, 2, 10, 2, 1, 6, 1, 6, 2, 2, 10, 10, 1, 2, 4, 10, 2, 10, 6, 10, 1, 2, 10, 10, 2, 6, 2, 2, 6, 10, 2, 1, 10, 10, 10, 5, 1, 10, 2, 2, 3, 1, 2, 10, 2, 1, 10, 2, 10, 6, 1, 1, 2, 1, 4, 10, 2, 10, 2, 2, 1, 2, 1, 2, 2, 6, 1, 1, 6, 2, 2, 2, 1, 10, 2, 1, 6, 10, 6, 10, 2, 2, 1, 2, 6, 10, 10, 6, 2, 2, 2, 6, 2, 1, 6, 2, 1, 6, 2, 6, 2, 10, 1, 6, 6, 6, 6, 2, 2, 1, 2, 6, 10, 1, 1, 6, 10, 2, 1, 6, 0, 6, 10, 2, 10, 10, 6, 10, 10, 1, 6, 4, 10, 2, 1, 1, 2, 6, 2, 0, 1, 2, 10, 6, 1, 6, 10, 1, 2, 1, 10, 2, 0, 1, 2, 1, 1, 2, 1, 6, 1, 6, 10, 2, 2, 1, 2, 6, 2, 6, 6, 1, 1, 6, 1, 2, 1, 6, 10, 6, 1, 6, 6, 6, 2, 2, 10, 2, 2, 2, 4, 10, 6, 4, 6, 6, 10, 1, 1, 2, 2, 1, 6, 2, 1, 1, 6, 0, 2, 2, 2, 2, 2, 6, 10, 6, 9, 6, 6, 10, 6, 2, 1, 2, 1, 1, 6, 2, 6, 1, 1, 2, 10, 10, 10, 1, 2, 2, 6, 1, 1, 10, 1, 10, 10, 6, 2, 1, 6, 2, 1, 6, 10, 2, 2, 10, 10, 2, 6, 1, 1, 2, 6, 10, 4, 10, 2, 2, 2, 2, 10, 6, 1, 10, 6, 2, 6, 6, 1, 2, 1, 1, 6, 0, 2, 2, 1, 10, 2, 6, 1, 1, 6, 6, 10, 0, 6, 1, 2, 2, 6, 1, 10, 2, 6, 1, 1, 2, 10, 10, 6, 2, 10, 10, 2, 2, 6, 10, 2, 6, 10, 10, 1, 1, 10, 2, 2, 2, 10, 2, 10, 6, 2, 10, 1, 6, 6, 6, 1, 6, 2, 2, 1, 1, 4, 6, 2, 1, 10, 10, 6, 2, 2, 1, 6, 1, 10, 10, 6, 6, 6, 10, 2, 10, 1, 6, 2, 10, 10, 2, 6, 1, 6, 10, 10, 6, 1, 10, 2, 2, 6, 6, 2, 2, 1, 2, 1, 2, 10, 10, 10, 6, 10, 2, 6, 6, 10, 2, 10, 10, 6, 10, 2, 10, 1, 2, 6, 1, 1, 2, 10, 10, 6, 2, 2, 6, 6, 6, 2, 1, 2, 1, 10, 6, 10, 2, 2, 1, 1, 6, 2, 10, 2, 6, 1, 6, 2, 2, 1, 2, 1, 1, 6, 2, 10, 2, 6, 6, 6, 1, 2, 6, 2, 1, 2, 1, 6, 10, 1, 10, 6, 1, 10, 10, 6, 6, 1, 1, 6, 2, 10, 2, 2, 6, 2, 2, 1, 6, 2, 6, 4, 10, 10, 2, 1, 1, 10, 6, 10, 6, 1, 10, 1, 1, 10, 10, 2, 2, 1, 1, 1, 1, 2, 6, 2, 2, 10, 2, 2, 6, 6, 2, 6, 6, 6, 1, 1, 10, 1, 10, 6, 10, 2, 6, 10, 6, 2, 2, 6, 6, 6, 10, 10, 1, 2, 10, 6, 1, 6, 1, 6, 6, 6, 6, 6, 6, 1, 10, 2, 6, 6, 10, 6, 1, 2, 2, 6, 1, 6, 20, 6, 10, 6, 6, 2, 1, 1, 1, 6, 6, 10, 10, 1, 1, 10, 10, 1, 6, 6, 6, 6, 1, 2, 2, 6, 2, 9, 1, 10, 2, 1, 1, 6, 1, 2, 2, 2, 1, 4, 2, 2, 1, 6, 2, 2, 10, 1, 10, 1, 1, 6, 6, 1, 6, 10, 6, 6, 1, 2, 6, 1, 10, 10, 2, 10, 6, 6, 0, 10, 2, 2, 10, 6, 1, 2, 1, 10, 10, 1, 1, 1, 2, 10, 2, 6, 6, 2, 1, 1, 2, 10, 9, 1, 1, 10, 10, 1, 6, 2, 1, 2, 10, 10, 2, 10, 10, 6, 1, 10, 1, 2, 6, 1, 10, 1, 6, 10, 2, 1, 6, 10, 6, 1, 1, 10, 1, 1, 2, 10, 2, 6, 1, 1, 10, 2, 10, 10, 1, 2, 10, 10, 1, 2, 6, 10, 6, 1, 6, 1, 2, 10, 10, 2, 10, 2, 1, 6, 1, 10, 6, 1, 2, 1, 10, 2, 2, 6, 10, 1, 10, 6, 10, 2, 10, 10, 10, 6, 9, 2, 10, 10, 6, 2, 1, 2, 6, 1, 2, 2, 6, 10, 10, 2, 1, 2, 1, 6, 6, 6, 2, 1, 2, 10, 6, 2, 1, 2, 2, 2, 6, 2, 2, 10, 2, 6, 6, 2, 6, 1, 10, 9, 6, 10, 5, 2, 2, 1, 2, 10, 10, 2, 2, 2, 1, 6, 2, 1, 6, 10, 10, 6, 2, 1, 2, 2, 1, 1, 1, 6, 6, 1, 1, 6, 6, 10, 10, 1, 10, 1, 1, 1, 10, 10, 2, 1, 6, 1, 10, 2, 10, 6, 1, 1, 10, 1, 10, 6, 10, 10, 1, 1, 2, 10, 2, 2, 10, 2, 10, 2, 6, 6, 10, 1, 2, 6, 6, 1, 10, 1, 10, 10, 2, 10, 1, 1, 10, 10, 2, 6, 1, 6, 5, 6, 6, 6, 1, 2, 6, 6, 2, 6, 2, 1, 10, 6, 1, 1, 6, 1, 1, 10, 6, 6, 10, 6, 1, 10, 6, 6, 2, 1, 1, 10, 1, 10, 2, 0, 1, 2, 6, 2, 6, 2, 1, 10, 2, 10, 2, 4, 2, 10, 1, 10, 10, 2, 1, 5, 10, 1, 1, 2, 6, 1, 6, 4, 6, 1, 2, 10, 6, 10, 10, 1, 10, 2, 10, 2, 2, 10, 2, 1, 2, 2, 6, 2, 2, 6, 1, 6, 1, 2, 2, 1, 10, 6, 1, 1, 1, 10, 1, 6, 6, 1, 4, 10, 2, 6, 1, 6, 2, 10, 1, 2, 4, 2, 2, 2, 10, 2, 1, 10, 2, 10, 1, 6, 2, 10, 2, 6, 2, 2, 6, 6, 6, 2, 1, 6, 6, 2, 6, 10, 1, 2, 1, 6, 1, 6, 1, 2, 1, 6, 6, 2, 1, 2, 2, 1, 10, 10, 10, 6, 9, 6, 2, 10, 2, 2, 10, 1, 10, 2, 1, 6, 2, 6, 1, 6, 1, 1, 2, 0, 2, 10, 10, 6, 2, 1, 2, 6, 1, 10, 6, 10, 6, 2, 2, 7, 6, 2, 1, 0, 1, 6, 1, 10, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 10, 10, 6, 1, 1, 2, 1, 2, 6, 1, 1, 10, 2, 6, 1, 6, 10, 6, 6, 2, 10, 1, 1, 6, 5, 2, 10, 10, 2, 2, 2, 1, 10, 2, 1, 6, 2, 1, 2, 2, 1, 6, 4, 2, 2, 1, 1, 10, 1, 6, 2, 2, 1, 10, 2, 6, 6, 6, 1, 10, 2, 10, 6, 6, 1, 6, 4, 2, 1, 1, 10, 2, 2, 6, 6, 10, 10, 6, 2, 10, 2, 1, 6, 6, 6, 1, 1, 40, 2, 6, 6, 1, 2, 6, 1, 10, 2, 1, 2, 2, 10, 10, 10, 10, 10, 10, 10, 2, 1, 10, 1, 10, 1, 2, 6, 6, 1, 10, 2, 10, 10, 1, 1, 6, 10, 6, 10, 6, 1, 6, 10, 6, 10, 10, 10, 10, 1, 6, 6, 1, 6, 6, 2, 2, 1, 6, 2, 10, 6, 6, 10, 6, 10, 10, 1, 10, 2, 1, 6, 6, 10, 10, 10, 2, 6, 1, 1, 2, 6, 6, 5, 6, 2, 2, 6, 10, 10, 2, 10, 10, 9, 2, 0, 10, 6, 1, 6, 6, 2, 6, 4, 2, 2, 10, 1, 1, 6, 6, 10, 6, 10, 10, 10, 2, 10, 1, 10, 2, 2, 10, 10, 1, 1, 1, 1, 2, 6, 2, 2, 1, 10, 6, 10, 6, 10, 2, 2, 10, 1, 1, 2, 6, 2, 2, 1, 10, 10, 2, 10, 2, 1, 10, 10, 9, 6, 2, 10, 2, 10, 6, 10, 2, 2, 6, 10, 6, 1, 6, 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6, 2, 6, 6, 2, 2, 9, 10, 10, 2, 1, 2, 1, 2, 2, 10, 6, 2, 6, 2, 2, 10, 6, 2, 10, 6, 6, 2, 10, 6, 10, 10, 1, 10, 2, 6, 6, 6, 6, 6, 1, 10, 10, 10, 2, 1, 0, 1, 2, 1, 6, 10, 6, 2, 6, 5, 1, 9, 1, 6, 10, 10, 6, 6, 10, 1, 10, 2, 1, 2, 10, 10, 6, 1, 1, 6, 2, 4, 6, 6, 6, 10, 10, 2, 6, 10, 10, 10, 2, 1, 2, 10, 2, 2, 2, 1, 10, 2, 2, 1, 6, 2, 10, 1, 2, 1, 10, 1, 2, 1, 10, 2, 6, 2, 10, 1, 1, 1, 6, 2, 6, 10, 6, 1, 1, 10, 6, 2, 1, 2, 10, 6, 6, 2, 10, 10, 2, 10, 10, 1, 10, 5, 10, 6, 10, 10, 2, 2, 1, 10, 6, 6, 2, 10, 1, 10, 6, 2, 2, 1, 6, 6, 10, 10, 1, 1, 2, 10, 6, 2, 6, 6, 10, 6, 6, 6, 6, 1, 6, 2, 10, 2, 10, 2, 4, 6, 1, 1, 4, 6, 6, 2, 2, 10, 10, 1, 6, 2, 6, 1, 10, 2, 1, 2, 2, 10, 6, 1, 2, 10, 6, 2, 2, 1, 6, 1, 2, 1, 2, 2, 6, 6, 10, 2, 10, 1, 10, 10, 1, 10, 2, 6, 6, 2, 6, 1, 2, 6, 2, 10, 10, 10, 6, 6, 10, 1, 6, 6, 1, 2, 10, 1, 2, 6, 2, 10, 6, 10, 1, 6, 2, 1, 6, 10, 4, 1, 10, 1, 2, 6, 1, 2, 1, 1, 6, 1, 1, 10, 1, 2, 2, 10, 1, 2, 10, 1, 6, 2, 6, 10, 1, 2, 6, 2, 6, 1, 2, 6, 10, 10, 2, 2, 2, 2, 2, 10, 10, 0, 6, 6, 6, 6, 6, 1, 1, 10, 2, 10, 6, 2, 6, 1, 1, 2, 10, 2, 6, 6, 6, 1, 6, 10, 6, 1, 1, 10, 2, 10, 1, 10, 6, 10, 1, 6, 10, 10, 2, 10, 6, 10, 10, 2, 10, 6, 2, 6, 2, 1, 1, 1, 4, 6, 9, 1, 6, 10, 2, 10, 2, 2, 1, 1, 1, 2, 2, 10, 10, 1, 10, 2, 2, 2, 10, 2, 6, 10, 6, 1, 1, 1, 1, 6, 6, 1, 10, 1, 2, 1, 10, 1, 1, 5, 1, 10, 10, 1, 10, 10, 1, 10, 10, 1, 6, 1, 6, 1, 1, 1, 6, 6, 6, 2, 6, 2, 10, 10, 10, 10, 6, 2, 2, 2, 2, 10, 2, 9, 2, 10, 10, 6, 10, 2, 2, 6, 6, 6, 10, 2, 2, 0, 6, 2, 6, 2, 2, 6, 6, 10, 6, 1, 2, 10, 10, 10, 2, 10, 6, 2, 1, 10, 1, 10, 2, 1, 10, 1, 6, 1, 1, 6, 1, 10, 1, 6, 10, 10, 1, 6, 2, 1, 0, 6, 1, 1, 6, 6, 5, 1, 10, 6, 2, 1, 6, 2, 1, 2, 6, 1, 10, 6, 2, 10, 10, 2, 6, 10, 6, 10, 10, 6, 6, 1, 1, 6, 1, 2, 2, 1, 0, 6, 10, 2, 10, 5, 1, 2, 10, 4, 2, 1, 6, 1, 10, 5, 1, 2, 6, 1, 2, 10, 1, 1, 1, 10, 6, 6, 6, 1, 10, 1, 5, 1, 6, 10, 6, 10, 1, 10, 1, 10, 10, 10, 2, 2, 10, 6, 10, 6, 6, 1, 10, 1, 10, 10, 6, 2, 10, 6, 10, 10, 10, 1, 6, 2, 2, 2, 6, 2, 1, 6, 10, 0, 1, 10, 6, 6, 2, 1, 2, 10, 2, 1, 2, 1, 10, 2, 6, 6, 6, 1, 2, 6, 1, 2, 1, 6, 6, 6, 1, 1, 4, 10, 10, 6, 60, 1, 2, 6, 10, 6, 6, 2, 6, 10, 6, 2, 1, 40, 10, 10, 6, 10, 10, 6, 2, 10, 2, 10, 10, 10, 2, 10, 6, 10, 2, 6, 6, 6, 1, 2, 1, 2, 10, 10, 6, 2, 6, 10, 6, 9, 1, 2, 6, 2, 10, 1, 2, 2, 6, 1, 0, 1, 2, 2, 1, 10, 1, 6, 2, 1, 1, 10, 1, 6, 1, 1, 1, 2, 2, 2, 10, 2, 1, 2, 2, 6, 1, 6, 10, 2, 2, 1, 1, 6, 6, 10, 6, 10, 2, 2, 1, 6, 10, 1, 10, 10, 6, 1, 1, 6, 2, 1, 10, 2, 2, 1, 1, 1, 10, 10, 6, 1, 2, 2, 1, 6, 2, 1, 1, 10, 2, 6, 9, 10, 1, 2, 1, 10, 10, 10, 6, 6, 10, 2, 10, 6, 2, 6, 1, 10, 10, 6, 10, 6, 6, 6, 1, 10, 6, 1, 1, 1, 6, 1, 6, 2, 10, 6, 6, 10, 1, 2, 1, 1, 1, 6, 1, 10, 1, 2, 2, 1, 2, 0, 1, 10, 10, 2, 10, 1, 6, 2, 6, 10, 1, 10, 1, 10, 2, 6, 2, 2, 10, 1, 4, 10, 10, 1, 1, 10, 10, 10, 2, 10, 10, 2, 10, 6, 10, 6, 2, 1, 2, 10, 2, 6, 6, 10, 6, 2, 10, 10, 2, 10, 6, 6, 6, 1, 6, 2, 6, 6, 1, 5, 1, 2, 2, 6, 10, 10, 2, 6, 1, 6, 10, 1, 10, 1, 10, 6, 6, 10, 2, 2, 10, 10, 10, 1, 1, 10, 2, 1, 1, 6, 6, 10, 2, 10, 1, 10, 9, 1, 1, 2, 2, 10, 6, 2, 2, 1, 6, 2, 6, 6, 2, 1, 1, 10, 1, 10, 5, 2, 10, 6, 2, 6, 10, 10, 1, 6, 6, 6, 10, 1, 2, 2, 1, 10, 6, 6, 1, 2, 2, 2, 10, 10, 10, 1, 10, 2, 10, 10, 6, 6, 10, 6, 6, 6, 2, 6, 1, 1, 10, 1, 6, 2, 10, 2, 10, 2, 1, 10, 1, 1, 10, 6, 10, 6, 10, 6, 10, 1, 10, 6, 0, 6, 10, 6, 10, 10, 1, 2, 10, 2, 6, 10, 6, 1, 10, 6, 6, 6, 2, 2, 10, 2, 10, 1, 6, 2, 6, 6, 1, 1, 10, 2, 2, 6, 1, 10, 10, 6, 9, 6, 1, 10, 6, 10, 4, 6, 1, 10, 1, 6, 2, 2, 2, 1, 10, 1, 2, 1, 6, 2, 1, 10, 1, 1, 2, 6, 6, 2, 6, 1, 6, 1, 10, 2, 10, 6, 10, 10, 6, 1, 2, 1, 10, 6, 6, 5, 6, 1, 10, 1, 1, 6, 10, 2, 1, 5, 6, 2, 9, 1, 1, 10, 10, 2, 2, 6, 1, 10, 2, 6, 1, 10, 10, 10, 1, 6, 2, 10, 1, 6, 2, 1, 10, 10, 10, 6, 1, 1, 10, 2, 0, 2, 6, 2, 6, 10, 2, 10, 6, 1, 2, 2, 1, 1, 6, 1, 6, 6, 10, 10, 1, 2, 10, 1, 1, 6, 1, 2, 10, 0, 6, 10, 1, 6, 1, 6, 2, 6, 6, 1, 10, 10, 6, 2, 1, 10, 1, 10, 10, 1, 2, 2, 1, 10, 10, 2, 10, 6, 6, 6, 2, 2, 2, 9, 2, 6, 2, 6, 1, 2, 2, 6, 6, 1, 5, 10, 2, 2, 1, 2, 6, 10, 1, 1, 1, 2, 10, 2, 4, 10, 1, 10, 6, 10, 10, 2, 6, 1, 10, 10, 2, 2, 2, 6, 1, 10, 6, 2, 1, 10, 10, 10, 0, 2, 2, 2, 10, 6, 6, 6, 6, 1, 2, 10, 6, 2, 3, 6, 2, 10, 10, 0, 6, 10, 6, 10, 2, 2, 2, 10, 2, 6, 1, 10, 1, 10, 6, 2, 2, 1, 10, 6, 2, 10, 10, 2, 2, 10, 10, 6, 1, 6, 1, 2, 1, 10, 10, 1, 1, 2, 10, 5, 1, 1, 1, 6, 6, 10, 1, 10, 2, 1, 1, 2, 1, 10, 10, 2, 6, 6, 2, 2, 10, 10, 2, 6, 10, 2, 2, 6, 2, 1, 2, 1, 6, 1, 10, 10, 2, 2, 2, 2, 6, 2, 10, 10, 2, 6, 10, 10, 6, 6, 1, 2, 2, 10, 2, 2, 2, 6, 10, 10, 2, 10, 2, 1, 10, 5, 2, 6, 6, 2, 1, 6, 10, 1, 2, 1, 2, 2, 6, 10, 1, 10, 10, 6, 2, 1, 10, 6, 1, 6, 10, 2, 6, 1, 6, 6, 2, 2, 6, 2, 6, 2, 1, 6, 1, 10, 10, 10, 2, 10, 1, 1, 2, 2, 6, 10, 1, 6, 10, 10, 2, 1, 1, 1, 2, 1, 10, 6, 6, 2, 10, 1, 10, 1, 6, 1, 2, 6, 6, 2, 1, 0, 2, 10, 10, 10, 10, 10, 1, 2, 10, 2, 1, 1, 6, 2, 1, 1, 2, 6, 6, 1, 1, 6, 10, 6, 6, 2, 1, 2, 2, 1, 10, 2, 10, 4, 9, 10, 6, 2, 6, 2, 6, 10, 6, 6, 10, 10, 4, 2, 10, 1, 10, 1, 10, 2, 1, 1, 10, 1, 2, 6, 10, 10, 2, 10, 2, 2, 1, 1, 6, 2, 1, 2, 6, 10, 2, 2, 1, 10, 2, 6, 1, 2, 10, 10, 2, 5, 6, 1, 1, 6, 1, 0, 1, 1, 1, 4, 6, 10, 6, 10, 1, 6, 1, 2, 10, 6, 2, 6, 6, 1, 6, 1, 1, 1, 2, 6, 6, 2, 5, 6, 2, 6, 1, 10, 6, 10, 0, 10, 1, 6, 2, 2, 2, 1, 2, 6, 1, 6, 6, 2, 10, 2, 1, 6, 6, 4, 2, 10, 10, 6, 10, 1, 6, 1, 10, 1, 6, 6, 2, 2, 2, 6, 1, 1, 2, 6, 2, 1, 6, 60, 10, 1, 6, 6, 2, 10, 2, 2, 10, 6, 6, 6, 2, 10, 2, 6, 10, 2, 2, 2, 10, 10, 1, 1, 1, 10, 2, 1, 10, 2, 10, 1, 6, 1, 10, 1, 1, 1, 10, 10, 10, 1, 1, 1, 6, 6, 6, 2, 1, 2, 6, 1, 2, 10, 6, 10, 1, 2, 1, 6, 6, 2, 10, 2, 10, 2, 10, 2, 1, 6, 9, 6, 1, 6, 10, 1, 1, 10, 1, 2, 6, 2, 6, 10, 10, 6, 1, 1, 2, 2, 10, 1, 2, 6, 6, 1, 1, 1, 10, 2, 1, 1, 1, 2, 10, 1, 10, 6, 10, 10, 6, 1, 1, 1, 10, 1, 6, 6, 6, 1, 2, 2, 10, 10, 2, 1, 10, 10, 4, 2, 2, 1, 10, 2, 1, 1, 10, 10, 1, 0, 10, 10, 10, 2, 9, 2, 6, 10, 6, 1, 2, 2, 1, 1, 2, 1, 10, 6, 6, 10, 2, 2, 1, 2, 6, 2, 6, 1, 10, 10, 1, 50, 6, 1, 1, 1, 2, 6, 6, 1, 1, 9, 10, 1, 10, 6, 6, 10, 6, 1, 9, 2, 1, 10, 1, 2, 2, 0, 2, 6, 9, 1, 1, 6, 10, 6, 10, 10, 10, 10, 10, 6, 2, 1, 6, 10, 6, 2, 10, 10, 2, 1, 6, 10, 1, 1, 6, 6, 1, 4, 10, 1, 6, 1, 1, 6, 1, 0, 6, 1, 2, 2, 6, 2, 10, 1, 2, 9, 1, 10, 10, 6, 10, 2, 2, 2, 1, 1, 6, 1, 10, 1, 10, 1, 6, 2, 2, 2, 1, 1, 2, 1, 10, 10, 6, 1, 2, 10, 10, 6, 2, 2, 10, 1, 10, 2, 6, 6, 10, 9, 2, 6, 2, 1, 0, 6, 0, 10, 10, 1, 10, 1, 2, 6, 10, 1, 1, 2, 1, 1, 10, 2, 6, 1, 1, 6, 10, 2, 5, 2, 1, 6, 10, 6, 1, 10, 6, 10, 1, 1, 1, 10, 2, 6, 6, 10, 10, 2, 10, 6, 6, 6, 10, 2, 10, 10, 1, 10, 6, 2, 6, 2, 10, 1, 2, 10, 10, 10, 6, 1, 6, 10, 10, 6, 6, 1, 2, 6, 6, 10, 10, 1, 1, 10, 10, 1, 2, 10, 2, 1, 6, 6, 9, 2, 2, 1, 1, 6, 1, 2, 10, 6, 10, 6, 10, 6, 6, 2, 1, 10, 1, 6, 1, 1, 1, 6, 2, 1, 2, 2, 10, 6, 10, 10, 6, 2, 6, 1, 1, 10, 1, 1, 6, 6, 1, 6, 10, 10, 1, 2, 10, 10, 6, 4, 1, 10, 6, 1, 1, 10, 6, 1, 6, 6, 6, 6, 6, 10, 10, 1, 10, 1, 1, 6, 10, 2, 10, 10, 1, 2, 2, 10, 2, 10, 2, 10, 10, 1, 1, 1, 1, 10, 6, 1, 10, 6, 6, 1, 2, 1, 6, 6, 10, 10, 10, 2, 6, 1, 10, 10, 6, 2, 10, 10, 2, 6, 2, 4, 2, 5, 2, 6, 10, 2, 10, 1, 10, 6, 10, 2, 6, 1, 6, 2, 0, 6, 6, 6, 6, 10, 6, 2, 2, 6, 1, 10, 10, 1, 6, 6, 10, 6, 2, 6, 2, 1, 10, 10, 2, 2, 1, 2, 6, 10, 6, 10, 2, 1, 1, 1, 1, 6, 6, 2, 10, 10, 6, 1, 6, 2, 2, 6, 2, 10, 2, 2, 1, 6, 6, 2, 6, 1, 6, 10, 6, 1, 10, 2, 10, 10, 10, 10, 10, 10, 10, 40, 6, 10, 10, 1, 10, 6, 2, 1, 2, 1, 1, 10, 6, 6, 2, 1, 2, 6, 1, 9, 10, 1, 1, 6, 10, 50, 6, 2, 10, 10, 2, 2, 6, 1, 1, 6, 10, 2, 10, 6, 2, 1, 1, 2, 2, 10, 10, 6, 6, 1, 1, 6, 2, 1, 10, 2, 6, 10, 9, 1, 2, 2, 1, 1, 2, 10, 2, 2, 1, 2, 6, 1, 6, 2, 2, 2, 1, 4, 1, 10, 10, 2, 10, 2, 6, 6, 2, 10, 4, 6, 6, 2, 1, 1, 6, 1, 1, 6, 10, 10, 1, 5, 10, 6, 6, 10, 6, 6, 2, 6, 1, 10, 6, 1, 6, 1, 9, 6, 10, 6, 6, 2, 10, 10, 6, 6, 2, 1, 6, 6, 10, 10, 2, 6, 6, 10, 10, 1, 6, 6, 1, 6, 6, 1, 6, 1, 2, 6, 10, 1, 10, 1, 10, 6, 6, 6, 1, 10, 2, 10, 10, 1, 10, 2, 10, 2, 2, 2, 2, 1, 6, 1, 10, 1, 2, 2, 6, 6, 10, 2, 1, 1, 2, 2, 6, 10, 1, 6, 2, 1, 10, 6, 6, 10, 6, 3, 1, 6, 2, 10, 6, 10, 6, 6, 10, 10, 1, 6, 6, 0, 5, 10, 10, 1, 10, 6, 10, 10, 1, 2, 2, 1, 10, 10, 2, 10, 1, 6, 1, 6, 6, 4, 1, 6, 2, 1, 6, 2, 6, 6, 10, 2, 6, 10, 2, 10, 2, 10, 10, 2, 6, 2, 10, 6, 2, 2, 6, 6, 1, 10, 1, 1, 2, 10, 10, 6, 0, 10, 6, 1, 7, 10, 2, 6, 6, 6, 1, 4, 1, 1, 6, 2, 10, 10, 6, 2, 6, 6, 2, 10, 1, 10, 2, 10, 1, 2, 2, 9, 1, 2, 1, 1, 10, 6, 6, 10, 1, 1, 2, 10, 10, 10, 2, 6, 6, 2, 6, 6, 2, 2, 2, 2, 2, 1, 2, 2, 6, 10, 2, 10, 10, 10, 6, 10, 6, 10, 0, 1, 2, 1, 2, 6, 1, 6, 10, 6, 2, 9, 1, 1, 10, 6, 6, 2, 1, 10, 1, 10, 5, 2, 2, 6, 10, 1, 10, 2, 6, 6, 2, 1, 1, 1, 10, 2, 2, 6, 10, 10, 2, 2, 1, 1, 1, 2, 6, 6, 1, 6, 10, 2, 1, 1, 10, 2, 1, 2, 1, 6, 0, 6, 6, 6, 1, 2, 2, 6, 10, 6, 2, 2, 2, 2, 0, 6, 6, 2, 2, 1, 2, 6, 2, 10, 2, 10, 2, 6, 1, 2, 2, 6, 1, 6, 2, 10, 1, 2, 6, 6, 2, 6, 2, 6, 1, 1, 1, 1, 1, 6, 1, 10, 1, 2, 9, 10, 6, 10, 6, 1, 10, 1, 10, 2, 1, 6, 1, 6, 10, 10, 10, 2, 2, 1, 1, 6, 2, 10, 6, 6, 6, 6, 6, 10, 10, 1, 10, 2, 2, 0, 2, 10, 6, 1, 1, 1, 2, 2, 6, 2, 6, 1, 2, 1, 1, 1, 1, 10, 10, 6, 6, 2, 1, 10, 1, 2, 1, 10, 1, 6, 1, 1, 6, 6, 2, 2, 1, 2, 10, 10, 4, 1, 1, 6, 1, 2, 0, 1, 6, 1, 2, 10, 6, 6, 1, 10, 2, 2, 1, 0, 10, 6, 6, 10, 2, 10, 1, 2, 4, 1, 1, 6, 1, 10, 2, 2, 1, 6, 2, 10, 10, 2, 6, 10, 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10, 1, 10, 6, 10, 1, 1, 1, 6, 1, 6, 10, 6, 6, 1, 10, 1, 1, 2, 1, 10, 10, 6, 1, 10, 2, 2, 6, 10, 6, 1, 10, 10, 10, 9, 10, 2, 10, 6, 10, 10, 2, 10, 6, 6, 2, 6, 1, 6, 6, 2, 0, 2, 6, 6, 2, 6, 10, 6, 10, 6, 10, 10, 6, 6, 6, 6, 2, 10, 1, 6, 2, 2, 1, 2, 2, 6, 10, 1, 10, 10, 6, 1, 2, 2, 6, 6, 1, 1, 6, 6, 1, 2, 6, 9, 2, 2, 2, 1, 10, 1, 6, 10, 1, 2, 10, 6, 10, 1, 10, 2, 6, 1, 1, 6, 1, 1, 1, 10, 1, 1, 1, 10, 1, 6, 10, 2, 2, 10, 6, 1, 6, 10, 6, 10, 6, 10, 2, 6, 2, 2, 10, 10, 10, 1, 2, 1, 6, 4, 2, 2, 6, 10, 2, 2, 10, 9, 6, 10, 1, 2, 1, 1, 2, 10, 1, 10, 10, 2, 2, 1, 6, 10, 1, 10, 6, 6, 1, 2, 2, 1, 2, 6, 1, 10, 1, 1, 40, 2, 2, 10, 10, 10, 2, 1, 10, 1, 2, 2, 1, 10, 10, 2, 6, 10, 10, 1, 2, 9, 10, 6, 2, 10, 1, 10, 2, 2, 10, 1, 10, 1, 2, 10, 2, 6, 1, 2, 6, 2, 1, 2, 1, 1, 1, 1, 2, 6, 6, 10, 1, 1, 6, 2, 1, 0, 1, 10, 2, 2, 1, 2, 2, 10, 1, 6, 6, 2, 6, 2, 1, 10, 1, 1, 6, 1, 10, 6, 6, 1, 1, 2, 10, 1, 6, 10, 10, 6, 2, 6, 10, 10, 1, 2, 1, 4, 6, 10, 6, 6, 2, 1, 10, 6, 10, 1, 6, 2, 10, 6, 6, 10, 2, 6, 6, 5, 2, 10, 1, 2, 1, 2, 10, 1, 2, 10, 1, 6, 1, 10, 1, 2, 2, 4, 10, 5, 2, 0, 2, 10, 2, 1, 2, 10, 10, 6, 2, 1, 2, 6, 2, 1, 6, 6, 6, 1, 6, 1, 6, 6, 2, 2, 2, 1, 6, 6, 6, 6, 1, 6, 1, 6, 6, 1, 1, 1, 1, 10, 10, 6, 10, 6, 2, 6, 6, 2, 10, 6, 2, 1, 1, 6, 10, 6, 10, 1, 6, 6, 10, 6, 10, 10, 0, 9, 6, 1, 1, 6, 6, 1, 10, 10, 10, 10, 2, 6, 10, 6, 6, 2, 1, 6, 2, 1, 2, 10, 2, 10, 2, 1, 1, 4, 1, 10, 1, 2, 6, 10, 2, 1, 6, 6, 1, 2, 10, 1, 1, 6, 9, 10, 10, 6, 5, 2, 2, 6, 2, 10, 10, 6, 6, 2, 10, 2, 6, 2, 6, 1, 2, 10, 1, 2, 2, 10, 1, 2, 1, 6, 1, 2, 1, 6, 10, 6, 2, 1, 6, 10, 10, 2, 5, 6, 1, 1, 10, 0, 10, 10, 6, 6, 6, 1, 2, 2, 2, 6, 1, 10, 1, 2, 2, 9, 10, 0, 9, 2, 2, 1, 6, 6, 1, 1, 1, 1, 1, 10, 2, 1, 10, 10, 2, 6, 10, 2, 1, 1, 6, 10, 6, 10, 6, 1, 2, 2, 10, 2, 10, 2, 0, 6, 2, 2, 1, 2, 6, 1, 2, 1, 6, 6, 1, 6, 6, 2, 6, 6, 2, 2, 6, 6, 2, 2, 10, 2, 10, 1, 10, 1, 1, 6, 10, 10, 1, 10, 2, 10, 2, 10, 9, 1, 6, 10, 2, 2, 6, 6, 2, 2, 1, 10, 6, 2, 2, 2, 6, 2, 1, 2, 2, 6, 6, 10, 6, 2, 6, 2, 2, 6, 10, 6, 6, 6, 10, 1, 1, 2, 1, 6, 6, 10, 1, 2, 2, 6, 10, 10, 6, 2, 2, 2, 10, 6, 1, 6, 6, 60, 2, 1, 10, 1, 6, 1, 10, 2, 6, 2, 6, 2, 6, 1, 1, 10, 6, 2, 1, 2, 6, 10, 2, 10, 10, 6, 2, 9, 1, 1, 2, 10, 2, 10, 6, 2, 6, 5, 10, 6, 1, 2, 6, 10, 2, 2, 2, 10, 5, 2, 6, 10, 6, 2, 10, 6, 2, 5, 2, 10, 6, 2, 2, 2, 10, 10, 9, 2, 6, 1, 1, 2, 1, 2, 2, 10, 6, 6, 10, 1, 10, 6, 2, 1, 6, 10, 10, 10, 1, 2, 6, 10, 2, 10, 10, 2, 1, 2, 2, 6, 2, 10, 2, 2, 10, 2, 2, 2, 2, 10, 2, 2, 6, 1, 10, 6, 6, 2, 10, 2, 10, 1, 6, 10, 10, 1, 6, 1, 5, 1, 1, 10, 2, 2, 2, 10, 10, 6, 2, 1, 1, 10, 10, 2, 6, 1, 1, 1, 9, 6, 10, 2, 10, 4, 2, 2, 2, 1, 1, 2, 1, 2, 1, 6, 2, 10, 1, 6, 6, 6, 6, 10, 2, 2, 1, 6, 1, 1, 2, 2, 2, 6, 0, 2, 10, 6, 2, 2, 10, 10, 2, 10, 10, 1, 1, 10, 2, 2, 6, 2, 2, 6, 2, 1, 10, 2, 6, 1, 10, 1, 10, 1, 6, 10, 6, 10, 2, 10, 2, 10, 10, 2, 1, 1, 1, 10, 2, 2, 10, 2, 10, 2, 10, 2, 1, 6, 10, 0, 10, 2, 6, 6, 10, 1, 1, 1, 1, 2, 1, 6, 1, 2, 1, 1, 10, 2, 10, 2, 1, 10, 2, 0, 6, 2, 10, 2, 1, 2, 2, 10, 1, 1, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2, 6, 10, 1, 2, 1, 1, 2, 10, 1, 1, 10, 2, 10, 1, 10, 1, 10, 10, 10, 6, 2, 6, 2, 2, 10, 6, 10, 1, 1, 6, 2, 6, 6, 6, 2, 10, 2, 2, 1, 6, 1, 6, 2, 9, 2, 10, 10, 2, 1, 10, 10, 6, 10, 2, 6, 10, 2, 1, 2, 2, 2, 6, 6, 2, 6, 10, 10, 10, 10, 6, 6, 10, 1, 1, 1, 10, 2, 2, 1, 6, 6, 2, 6, 2, 6, 2, 1, 1, 1, 10, 2, 6, 6, 6, 10, 6, 6, 6, 1, 2, 6, 1, 10, 2, 2, 1, 6, 1, 6, 2, 10, 2, 2, 2, 2, 10, 10, 2, 6, 1, 6, 0, 1, 2, 2, 10, 1, 6, 2, 6, 2, 10, 0, 1, 10, 10, 2, 6, 1, 2, 1, 1, 1, 1, 6, 4, 10, 6, 2, 6, 1, 1, 2, 10, 1, 6, 10, 5, 10, 1, 2, 2, 1, 0, 6, 1, 2, 10, 2, 6, 10, 10, 6, 10, 2, 10, 2, 2, 6, 1, 6, 6, 2, 4, 6, 60, 10, 1, 1, 1, 10, 1, 10, 1, 2, 10, 1, 1, 10, 5, 1, 6, 10, 2, 6, 10, 10, 2, 10, 1, 1, 10, 6, 1, 6, 1, 1, 10, 6, 10, 1, 1, 6, 6, 6, 2, 2, 6, 2, 6, 2, 10, 1, 10, 1, 6, 2, 6, 6, 1, 6, 10, 1, 1, 2, 10, 1, 2, 2, 10, 2, 1, 1, 2, 2, 2, 2, 1, 10, 2, 2, 2, 2, 2, 6, 10, 6, 6, 10, 2, 4, 1, 10, 1, 2, 10, 6, 2, 2, 10, 10, 2, 1, 10, 1, 6, 6, 2, 6, 6, 1, 6, 2, 6, 10, 1, 10, 6, 10, 1, 10, 6, 2, 10, 1, 6, 2, 1, 1, 6, 1, 10, 2, 10, 2, 2, 10, 2, 2, 6, 1, 2, 6, 6, 4, 6, 6, 1, 2, 10, 6, 6, 2, 2, 1, 10, 10, 1, 2, 10, 2, 4, 10, 2, 2, 1, 1, 10, 1, 1, 10, 4, 6, 1, 2, 2, 6, 6, 6, 10, 1, 2, 2, 1, 0, 6, 2, 1, 2, 6, 2, 10, 10, 6, 10, 6, 10, 1, 2, 5, 6, 1, 2, 2, 1, 4, 2, 2, 1, 2, 1, 1, 2, 2, 6, 6, 2, 6, 2, 1, 2, 1, 6, 6, 0, 10, 1, 2, 0, 1, 1, 1, 6, 10, 1, 2, 1, 10, 1, 6, 2, 10, 6, 1, 1, 10, 1, 2, 1, 6, 6, 10, 6, 6, 6, 2, 6, 2, 10, 2, 2, 10, 2, 10, 2, 0, 10, 10, 1, 1, 10, 2, 2, 2, 1, 6, 2, 10, 1, 5, 10, 1, 1, 1, 6, 2, 1, 1, 6, 10, 10, 6, 2, 1, 10, 6, 1, 1, 2, 6, 10, 10, 2, 2, 10, 1, 2, 1, 10, 10, 10, 1, 10, 1, 6, 10, 1, 6, 2, 6, 10, 1, 5, 1, 2, 2, 6, 10, 2, 1, 2, 1, 2, 6, 10, 1, 10, 2, 1, 2, 6, 2, 10, 2, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 1, 10, 2, 0, 1, 2, 2, 10, 2, 1, 1, 6, 1, 2, 10, 10, 6, 1, 6, 2, 6, 1, 2, 6, 2, 2, 2, 6, 6, 6, 1, 10, 6, 1, 5, 10, 6, 1, 10, 6, 10, 10, 0, 2, 10, 10, 5, 1, 6, 6, 10, 6, 10, 2, 0, 2, 10, 10, 10, 10, 1, 1, 2, 9, 2, 10, 1, 4, 10, 10, 2, 2, 6, 1, 2, 10, 10, 1, 6, 10, 10, 5, 6, 10, 1, 10, 6, 6, 10, 10, 10, 10, 2, 10, 10, 2, 10, 1, 10, 1, 2, 10, 6, 2, 6, 2, 10, 6, 6, 6, 1, 2, 10, 2, 6, 1, 1, 2, 2, 6, 1, 6, 10, 2, 6, 10, 1, 1, 6, 6, 6, 10, 2, 10, 6, 1, 2, 10, 1, 2, 1, 2, 6, 2, 10, 9, 0, 2, 6, 5, 10, 6, 1, 1, 1, 2, 10, 6, 2, 10, 2, 2, 6, 1, 6, 1, 2, 6, 2, 10, 6, 2, 2, 6, 1, 6, 5, 6, 1, 10, 6, 2, 2, 10, 10, 2, 2, 6, 1, 10, 6, 6, 6, 10, 2, 1, 10, 1, 1, 6, 10, 2, 6, 10, 2, 10, 10, 1, 10, 2, 10, 10, 6, 10, 2, 4, 10, 2, 10, 2, 10, 6, 0, 10, 2, 6, 10, 6, 6, 6, 2, 0, 2, 10, 2, 6, 6, 6, 10, 2, 10, 1, 1, 2, 2, 2, 9, 5, 1, 10, 10, 2, 10, 6, 1, 2, 10, 6, 1, 10, 10, 10, 2, 0, 1, 1, 6, 2, 2, 2, 6, 1, 6, 2, 6, 1, 6, 1, 2, 1, 2, 10, 2, 6, 10, 1, 1, 9, 2, 10, 10, 1, 2, 2, 2, 2, 6, 6, 5, 2, 10, 10, 10, 10, 6, 10, 6, 10, 6, 1, 2, 1, 6, 10, 6, 2, 6, 2, 10, 6, 2, 2, 1, 1, 1, 10, 2, 1, 10, 2, 2, 1, 1, 2, 1, 6, 2, 2, 2, 1, 5, 10, 1, 6, 1, 2, 10, 2, 10, 6, 6, 1, 10, 2, 2, 6, 0, 6, 2, 1, 10, 6, 5, 2, 10, 10, 6, 6, 10, 6, 6, 6, 1, 1, 10, 6, 1, 6, 6, 2, 2, 2, 6, 10, 6, 1, 2, 1, 10, 2, 10, 6, 6, 2, 2, 10, 10, 2, 1, 6, 1, 10, 2, 2, 6, 6, 10, 6, 2, 10, 2, 6, 10, 2, 5, 10, 10, 10, 10, 10, 1, 6, 5, 6, 2, 6, 2, 6, 10, 2, 10, 1, 6, 6, 1, 2, 6, 9, 6, 6, 6, 10, 6, 1, 10, 6, 2, 1, 6, 2, 10, 1, 10, 2, 1, 6, 6, 2, 6, 10, 2, 2, 2, 2, 6, 6, 1, 1, 10, 1, 1, 10, 6, 9, 2, 10, 2, 2, 10, 10, 10, 1, 6, 9, 1, 2, 1, 0, 6, 6, 2, 6, 2, 2, 2, 6, 1, 2, 1, 10, 2, 2, 10, 1, 10, 2, 6, 2, 6, 1, 10, 1, 1, 6, 10, 1, 6, 6, 10, 6, 2, 10, 2, 2, 0, 6, 1, 1, 2, 10, 2, 10, 2, 10, 2, 2, 2, 1, 10, 6, 10, 5, 1, 0, 6, 6, 6, 2, 10, 2, 1, 2, 10, 6, 2, 2, 1, 6, 2, 10, 10, 0, 10, 1, 10, 2, 1, 2, 10, 6, 2, 6, 1, 6, 1, 2, 1, 6, 2, 2, 10, 6, 10, 10, 6, 10, 6, 10, 6, 2, 2, 2, 10, 6, 10, 6, 10, 6, 1, 2, 1, 10, 10, 6, 1, 6, 6, 10, 6, 6, 10, 2, 6, 1, 2, 10, 6, 6, 1, 4, 6, 6, 10, 0, 2, 1, 1, 6, 6, 6, 6, 1, 6, 2, 1, 10, 10, 2, 1, 6, 10, 6, 4, 2, 6, 6, 1, 5, 2, 2, 1, 6, 2, 6, 10, 1, 2, 6, 1, 2, 10, 6, 2, 6, 10, 10, 6, 10, 2, 6, 10, 2, 1, 10, 6, 1, 6, 2, 6, 10, 2, 1, 6, 6, 2, 1, 10, 2, 2, 10, 6, 4, 1, 6, 1, 6, 2, 1, 6, 2, 6, 1, 1, 1, 1, 1, 1, 6, 2, 10, 6, 10, 6, 10, 2, 10, 2, 10, 1, 6, 2, 6, 2, 2, 10, 1, 1, 6, 1, 10, 10, 2, 2, 2, 2, 2, 6, 2, 2, 1, 2, 10, 6, 1, 10, 2, 2, 1, 2, 1, 6, 10, 1, 2, 1, 1, 6, 2, 2, 2, 10, 10, 1, 2, 1, 10, 1, 2, 1, 2, 2, 10, 2, 1, 10, 10, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 10, 1, 4, 6, 1, 6, 10, 2, 4, 6, 10, 1, 6, 10, 6, 1, 2, 6, 1, 6, 2, 2, 1, 1, 1, 10, 6, 4, 10, 1, 10, 0, 6, 6, 6, 1, 10, 1, 2, 2, 1, 10, 10, 1, 1, 1, 6, 2, 6, 6, 1, 1, 10, 2, 10, 10, 2, 2, 10, 6, 6, 6, 10, 1, 2, 6, 2, 10, 1, 6, 6, 1, 6, 6, 1, 2, 1, 6, 6, 6, 10, 10, 6, 1, 6, 2, 10, 1, 10, 2, 10, 10, 6, 2, 2, 10, 6, 1, 10, 2, 2, 6, 6, 4, 10, 6, 10, 1, 1, 6, 6, 2, 10, 6, 10, 1, 6, 1, 6, 6, 1, 2, 1, 6, 1, 10, 10, 1, 6, 2, 2, 10, 0, 6, 1, 2, 2, 1, 2, 2, 2, 9, 2, 2, 6, 10, 2, 10, 6, 2, 6, 10, 6, 10, 5, 10, 4, 2, 6, 6, 6, 2, 6, 6, 6, 2, 6, 2, 2, 1, 6, 2, 6, 10, 1, 1, 2, 10, 2, 10, 2, 2, 10, 10, 6, 6, 2, 1, 1, 1, 10, 1, 6, 10, 6, 10, 10, 2, 6, 1, 10, 2, 1, 6, 10, 6, 4, 4, 10, 2, 9, 6, 6, 10, 6, 6, 6, 1, 9, 10, 1, 2, 10, 2, 10, 1, 2, 6, 10, 2, 1, 10, 6, 6, 2, 6, 10, 2, 2, 2, 2, 1, 2, 2, 6, 6, 1, 2, 6, 1, 6, 10, 6, 2, 6, 2, 2, 6, 60, 6, 10, 2, 2, 2, 6, 1, 1, 1, 10, 1, 6, 1, 6, 10, 6, 1, 10, 2, 6, 1, 1, 2, 1, 2, 1, 10, 1, 2, 2, 6, 10, 2, 2, 6, 6, 6, 2, 6, 2, 10, 6, 1, 10, 10, 4, 6, 2, 2, 10, 1, 2, 4, 2, 1, 10, 6, 4, 2, 10, 6, 6, 1, 6, 6, 1, 6, 2, 10, 10, 10, 2, 1, 1, 10, 1, 6, 2, 2, 6, 2, 1, 2, 6, 6, 6, 1, 2, 10, 6, 2, 6, 2, 1, 10, 10, 10, 6, 2, 10, 10, 10, 10, 10, 2, 2, 10, 1, 2, 1, 5, 1, 9, 6, 1, 2, 10, 2, 6, 1, 10, 2, 1, 1, 6, 2, 10, 1, 2, 6, 1, 6, 1, 2, 1, 10, 10, 10, 6, 1, 2, 6, 6, 6, 1, 2, 1, 10, 2, 6, 6, 6, 2, 1, 6, 6, 6, 10, 2, 6, 6, 10, 1, 2, 6, 10, 6, 1, 1, 10, 4, 10, 6, 6, 6, 2, 2, 6, 2, 10, 0, 1, 2, 6, 1, 1, 1, 6, 6, 1, 10, 4, 1, 2, 10, 1, 10, 2, 2, 6, 4, 1, 10, 2, 10, 10, 2, 1, 10, 6, 1, 2, 6, 0, 10, 10, 1, 1, 2, 6, 2, 1, 1, 1, 2, 6, 10, 6, 10, 2, 1, 2, 1, 2, 6, 2, 1, 10, 6, 6, 2, 1, 10, 10, 10, 1, 10, 6, 6, 2, 1, 1, 2, 1, 1, 6, 10, 2, 6, 2, 10, 10, 1, 1, 10, 1, 2, 2, 9, 6, 10, 6, 2, 6, 6, 9, 10, 1, 1, 1, 10, 10, 1, 10, 2, 1, 6, 2, 5, 6, 1, 1, 2, 2, 1, 6, 1, 1, 6, 10, 10, 2, 10, 0, 6, 1, 10, 6, 10, 10, 2, 2, 10, 2, 10, 10, 6, 10, 1, 6, 2, 1, 2, 2, 2, 6, 10, 10, 9, 2, 2, 10, 1, 2, 6, 6, 9, 2, 10, 10, 10, 2, 2, 2, 6, 10, 1, 5, 6, 1, 1, 6, 10, 6, 10, 2, 1, 2, 6, 2, 6, 6, 6, 1, 6, 6, 2, 6, 6, 2, 6, 10, 2, 1, 2, 6, 6, 6, 10, 1, 2, 10, 10, 1, 10, 6, 10, 1, 10, 9, 6, 6, 6, 6, 2, 1, 10, 1, 2, 6, 6, 6, 10, 10, 1, 10, 10, 2, 10, 6, 1, 2, 2, 1, 2, 2, 1, 6, 6, 6, 6, 6, 2, 10, 6, 6, 2, 2, 10, 1, 6, 6, 4, 2, 10, 10, 2, 6, 1, 6, 10, 2, 1, 1, 10, 10, 0, 6, 2, 6, 6, 6, 1, 6, 6, 10, 1, 2, 10, 2, 1, 5, 1, 10, 1, 2, 1, 1, 10, 10, 2, 6, 6, 6, 6, 10, 6, 6, 1, 10, 10, 1, 4, 6, 6, 6, 2, 10, 1, 2, 2, 1, 1, 1, 10, 1, 6, 1, 10, 10, 1, 2, 2, 1, 2, 10, 6, 6, 10, 2, 2, 2, 6, 2, 2, 6, 0, 10, 2, 2, 2, 1, 6, 1, 1, 10, 1, 10, 10, 2, 1, 2, 2, 10, 2, 1, 6, 6, 6, 1, 2, 2, 1, 6, 10, 10, 1, 2, 10, 1, 6, 2, 0, 6, 6, 2, 10, 10, 10, 2, 1, 6, 6, 6, 2, 10, 10, 10, 6, 1, 1, 1, 10, 6, 10, 10, 1, 1, 2, 6, 2, 6, 1, 2, 1, 10, 10, 10, 6, 1, 10, 6, 10, 10, 6, 1, 10, 2, 1, 10, 2, 2, 10, 2, 6, 1, 2, 1, 1, 10, 6, 6, 1, 1, 10, 1, 10, 2, 6, 10, 2, 6, 6, 1, 2, 2, 10, 2, 10, 6, 6, 10, 2, 2, 6, 1, 10, 2, 2, 0, 2, 1, 6, 10, 2, 2, 6, 9, 10, 1, 2, 1, 10, 6, 6, 2, 2, 10, 6, 6, 2, 6, 10, 10, 1, 4, 6, 6, 1, 2, 2, 9, 1, 6, 2, 10, 2, 2, 2, 6, 1, 1, 6, 1, 9, 1, 10, 1, 10, 1, 6, 6, 6, 1, 6, 2, 2, 10, 6, 6, 10, 2, 6, 1, 10, 10, 2, 0, 2, 2, 10, 10, 1, 2, 2, 6, 6, 1, 10, 10, 10, 10, 1, 6, 1, 1, 1, 6, 10, 10, 2, 6, 6, 6, 6, 6, 1, 10, 10, 1, 6, 6, 10, 6, 2, 0, 10, 6, 10, 6, 1, 2, 2, 2, 10, 1, 1, 2, 2, 1, 2, 10, 6, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 10, 6, 6, 10, 10, 2, 6, 1, 6, 10, 2, 6, 6, 10, 2, 6, 1, 6, 2, 10, 2, 1, 1, 1, 2, 2, 2, 1, 2, 9, 2, 2, 6, 6, 10, 10, 10, 10, 10, 2, 1, 2, 10, 10, 6, 2, 1, 1, 1, 10, 10, 2, 1, 1, 1, 2, 6, 6, 1, 2, 2, 4, 1, 6, 10, 2, 6, 1, 1, 2, 10, 2, 2, 2, 6, 1, 6, 1, 1, 2, 4, 2, 6, 1, 6, 1, 2, 2, 2, 6, 6, 6, 2, 2, 1, 6, 2, 10, 10, 10, 6, 2, 2, 6, 1, 4, 2, 6, 1, 2, 1, 6, 6, 2, 10, 10, 1, 2, 6, 6, 2, 1, 6, 2, 1, 6, 1, 1, 10, 6, 60, 2, 2, 10, 2, 10, 2, 2, 10, 1, 2, 1, 2, 1, 10, 6, 10, 10, 1, 1, 1, 1, 1, 1, 4, 10, 1, 6, 6, 6, 2, 6, 6, 10, 6, 2, 6, 5, 6, 9, 6, 6, 5, 1, 10, 10, 4, 6, 2, 1, 1, 6, 2, 1, 2, 6, 2, 1, 10, 1, 1, 10, 6, 2, 10, 6, 2, 6, 2, 2, 10, 1, 10, 6, 10, 10, 2, 2, 1, 6, 10, 6, 1, 6, 10, 2, 10, 1, 10, 1, 1, 2, 10, 2, 6, 10, 1, 1, 1, 10, 6, 6, 1, 2, 6, 2, 2, 10, 6, 1, 9, 2, 1, 10, 2, 4, 6, 6, 6, 10, 10, 6, 2, 10, 10, 6, 9, 9, 1, 2, 10, 2, 10, 10, 10, 1, 2, 2, 1, 6, 1, 1, 2, 9, 2, 6, 10, 10, 6, 6, 6, 10, 6, 10, 1, 6, 10, 1, 6, 6, 10, 10, 6, 10, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 6, 10, 1, 1, 2, 1, 2, 10, 6, 1, 2, 1, 1, 1, 10, 2, 6, 1, 6, 1, 1, 10, 10, 2, 10, 10, 6, 10, 6, 1, 1, 6, 2, 2, 6, 10, 6, 2, 1, 2, 10, 10, 6, 10, 10, 10, 6, 6, 6, 10, 0, 10, 10, 1, 10, 2, 1, 1, 10, 2, 2, 6, 10, 2, 1, 2, 10, 6, 6, 6, 10, 10, 6, 6, 10, 10, 10, 6, 10, 6, 6, 2, 10, 6, 1, 6, 1, 6, 1, 1, 6, 10, 6, 1, 1, 6, 1, 10, 1, 2, 2, 6, 10, 10, 10, 6, 9, 1, 1, 2, 2, 10, 2, 6, 4, 1, 6, 6, 1, 1, 10, 2, 2, 1, 1, 2, 6, 6, 2, 10, 2, 10, 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1, 1, 1, 10, 10, 6, 2, 6, 6, 6, 10, 2, 1, 1, 1, 1, 6, 10, 1, 6, 6, 10, 6, 2, 1, 6, 10, 10, 6, 1, 1, 6, 2, 1, 1, 10, 2, 1, 10, 2, 2, 10, 1, 10, 10, 6, 10, 1, 1, 1, 10, 10, 2, 6, 10, 1, 10, 6, 6, 6, 10, 10, 1, 2, 10, 6, 6, 2, 6, 2, 2, 1, 1, 2, 6, 10, 1, 6, 2, 2, 2, 1, 0, 10, 1, 10, 6, 10, 2, 6, 5, 1, 2, 6, 10, 2, 10, 10, 6, 0, 2, 1, 2, 9, 2, 1, 1, 1, 6, 10, 10, 1, 1, 1, 6, 6, 6, 10, 6, 2, 1, 10, 2, 10, 2, 10, 2, 6, 6, 2, 1, 6, 2, 1, 2, 6, 2, 6, 6, 1, 1, 6, 2, 2, 10, 1, 2, 2, 6, 1, 1, 2, 10, 2, 6, 10, 10, 2, 2, 2, 0, 6, 6, 1, 4, 2, 2, 5, 2, 6, 6, 1, 6, 6, 6, 1, 2, 1, 6, 6, 2, 1, 2, 2, 10, 1, 6, 10, 6, 1, 10, 1, 6, 6, 6, 6, 2, 6, 10, 2, 10, 10, 1, 2, 6, 10, 6, 10, 10, 1, 10, 2, 1, 2, 6, 10, 6, 1, 2, 2, 1, 1, 10, 1, 1, 6, 10, 10, 10, 1, 6, 10, 1, 1, 2, 2, 1, 6, 10, 6, 6, 6, 2, 2, 6, 2, 6, 2, 2, 2, 1, 2, 10, 2, 1, 10, 2, 6, 2, 10, 10, 1, 10, 10, 1, 2, 1, 1, 6, 1, 10, 10, 6, 6, 10, 2, 2, 10, 1, 0, 6, 6, 1, 2, 1, 1, 1, 6, 1, 6, 2, 6, 10, 10, 10, 10, 1, 6, 6, 1, 1, 6, 2, 1, 1, 10, 1, 4, 2, 1, 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1, 10, 6, 10, 3, 2, 1, 1, 10, 2, 2, 1, 2, 10, 2, 10, 6, 6, 1, 6, 9, 2, 2, 1, 10, 2, 2, 6, 1, 6, 1, 10, 6, 1, 2, 0, 2, 10, 10, 1, 1, 1, 2, 10, 2, 6, 1, 10, 10, 2, 10, 10, 1, 1, 2, 10, 1, 6, 10, 10, 1, 6, 6, 1, 1, 2, 1, 6, 1, 10, 6, 2, 10, 1, 0, 2, 10, 6, 1, 6, 10, 2, 1, 2, 2, 2, 2, 1, 6, 6, 2, 10, 6, 10, 2, 1, 6, 6, 2, 6, 1, 1, 2, 1, 1, 10, 1, 1, 2, 2, 2, 1, 10, 1, 6, 10, 1, 2, 6, 6, 10, 6, 1, 2, 6, 2, 10, 6, 1, 2, 6, 1, 10, 10, 1, 6, 10, 2, 10, 10, 2, 6, 10, 6, 2, 10, 6, 10, 2, 1, 1, 6, 1, 6, 6, 10, 10, 6, 6, 2, 1, 10, 6, 1, 6, 2, 6, 6, 6, 6, 6, 2, 1, 2, 6, 2, 9, 10, 2, 2, 6, 1, 6, 1, 6, 2, 1, 6, 6, 6, 10, 10, 6, 1, 10, 10, 6, 6, 6, 2, 10, 6, 1, 1, 6, 10, 2, 10, 1, 10, 2, 2, 5, 1, 1, 10, 2, 1, 1, 10, 6, 6, 2, 2, 2, 2, 1, 6, 2, 1, 10, 2, 6, 2, 1, 2, 10, 6, 6, 1, 1, 6, 10, 2, 1, 10, 10, 1, 2, 10, 6, 1, 2, 6, 2, 2, 6, 6, 2, 2, 10, 10, 6, 10, 10, 1, 10, 1, 6, 2, 1, 1, 10, 1, 1, 6, 6, 4, 6, 6, 10, 6, 2, 1, 1, 2, 2, 1, 6, 10, 4, 6, 10, 0, 2, 10, 10, 6, 6, 5, 2, 6, 6, 2, 10, 6, 1, 10, 6, 6, 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6, 2, 2, 9, 1, 2, 1, 2, 6, 1, 1, 1, 6, 10, 2, 1, 10, 0, 9, 6, 1, 2, 2, 1, 6, 1, 2, 10, 6, 1, 10, 1, 1, 6, 1, 2, 10, 6, 1, 10, 5, 1, 10, 6, 1, 2, 6, 10, 9, 9, 10, 1, 6, 5, 6, 10, 10, 1, 6, 10, 2, 1, 2, 10, 6, 10, 6, 1, 2, 2, 6, 1, 2, 10, 6, 6, 1, 6, 2, 6, 2, 10, 1, 1, 2, 1, 10, 6, 6, 6, 10, 10, 10, 1, 10, 2, 10, 1, 10, 6, 2, 6, 2, 1, 1, 6, 6, 1, 4, 2, 1, 10, 10, 10, 10, 10, 2, 2, 6, 10, 6, 1, 1, 1, 1, 2, 6, 1, 10, 2, 1, 4, 10, 1, 10, 6, 6, 6, 10, 6, 2, 2, 10, 0, 6, 10, 6, 2, 10, 6, 6, 6, 10, 1, 1, 6, 10, 6, 2, 10, 2, 2, 4, 1, 10, 0, 1, 2, 2, 2, 2, 2, 0, 6, 6, 10, 6, 10, 10, 1, 1, 6, 0, 10, 2, 6, 1, 6, 1, 10, 2, 10, 6, 6, 2, 6, 2, 10, 6, 6, 10, 2, 10, 6, 1, 10, 2, 6, 1, 1, 2, 1, 6, 1, 10, 6, 6, 6, 10, 10, 10, 10, 6, 6, 6, 1, 10, 6, 10, 1, 10, 1, 2, 1, 6, 10, 6, 2, 6, 10, 10, 6, 10, 2, 1, 6, 1, 6, 10, 10, 1, 6, 2, 10, 6, 10, 2, 1, 2, 1, 1, 2, 2, 10, 1, 1, 10, 2, 6, 10, 2, 6, 6, 2, 1, 1, 1, 1, 1, 1, 1, 6, 6, 2, 2, 1, 5, 10, 2, 1, 2, 10, 1, 10, 6, 2, 10, 2, 6, 9, 2, 10, 10, 10, 10, 1, 2, 10, 10, 10, 2, 10, 1, 2, 6, 10, 10, 2, 6, 1, 40, 2, 10, 1, 2, 1, 4, 10, 2, 2, 1, 2, 10, 10, 10, 10, 1, 1, 1, 10, 10, 1, 10, 6, 6, 2, 6, 60, 1, 10, 2, 2, 1, 2, 1, 1, 10, 2, 0, 1, 2, 2, 1, 2, 10, 1, 6, 10, 10, 2, 2, 1, 6, 2, 1, 2, 2, 1, 2, 10, 2, 2, 2, 4, 6, 1, 6, 10, 1, 2, 1, 10, 2, 5, 10, 2, 10, 1, 6, 10, 10, 10, 6, 6, 2, 10, 10, 10, 2, 6, 1, 1, 1, 2, 1, 1, 10, 2, 2, 1, 10, 1, 2, 2, 2, 2, 10, 1, 1, 6, 10, 1, 2, 10, 1, 10, 1, 6, 6, 6, 6, 1, 2, 6, 6, 2, 10, 10, 10, 10, 2, 2, 1, 2, 6, 6, 1, 10, 10, 6, 10, 1, 6, 6, 6, 10, 1, 10, 6, 10, 1, 2, 6, 2, 2, 2, 6, 2, 2, 2, 1, 10, 1, 10, 1, 6, 2, 2, 6, 1, 2, 1, 1, 6, 5, 1, 1, 6, 2, 1, 10, 2, 6, 10, 10, 1, 1, 2, 6, 2, 2, 1, 10, 6, 10, 10, 1, 2, 10, 6, 10, 5, 1, 2, 10, 6, 2, 2, 10, 1, 10, 10, 6, 2, 2, 2, 10, 6, 6, 10, 2, 2, 10, 2, 2, 1, 1, 10, 10, 6, 2, 10, 2, 6, 6, 6, 10, 10, 1, 2, 1, 10, 2, 6, 6, 6, 10, 6, 1, 6, 10, 6, 2, 10, 1, 1, 10, 1, 10, 2, 2, 1, 2, 10, 2, 10, 6, 1, 2, 6, 10, 10, 10, 2, 2, 10, 6, 1, 6, 2, 10, 10, 10, 6, 2, 9, 6, 10, 10, 2, 6, 4, 2, 2, 1, 10, 2, 6, 2, 6, 1, 6, 10, 2, 2, 6, 6, 1, 10, 10, 10, 10, 0, 6, 10, 1, 6, 10, 2, 10, 10, 10, 6, 1, 10, 2, 1, 2, 10, 2, 10, 2, 1, 10, 10, 6, 2, 1, 1, 1, 6, 6, 10, 6, 10, 2, 10, 6, 1, 2, 1, 1, 2, 10, 10, 1, 1, 10, 10, 1, 1, 1, 6, 6, 6, 6, 2, 10, 2, 1, 2, 1, 1, 1, 2, 1, 6, 1, 10, 2, 10, 2, 6, 10, 6, 10, 1, 2, 10, 4, 6, 1, 10, 10, 6, 4, 2, 10, 10, 10, 2, 1, 1, 6, 2, 2, 1, 10, 2, 1, 1, 10, 10, 10, 1, 1, 6, 10, 10, 1, 6, 2, 6, 10, 1, 6, 10, 2, 1, 1, 2, 2, 2, 6, 1, 10, 2, 1, 1, 6, 1, 6, 6, 2, 1, 2, 1, 1, 10, 2, 10, 6, 10, 2, 2, 2, 1, 2, 2, 1, 1, 10, 2, 6, 10, 10, 1, 6, 10, 1, 10, 6, 10, 10, 6, 6, 10, 1, 10, 6, 1, 10, 10, 10, 10, 2, 2, 1, 10, 1, 6, 10, 6, 6, 6, 1, 1, 1, 6, 6, 2, 6, 6, 2, 1, 1, 6, 1, 6, 1, 1, 6, 6, 1, 2, 6, 6, 10, 2, 10, 10, 2, 1, 10, 6, 1, 0, 2, 10, 2, 10, 10, 2, 10, 6, 2, 10, 6, 10, 6, 10, 1, 10, 6, 1, 1, 2, 10, 2, 10, 1, 10, 6, 6, 10, 6, 2, 10, 6, 1, 6, 9, 6, 2, 1, 6, 1, 6, 2, 2, 1, 10, 6, 6, 2, 2, 2, 1, 10, 6, 6, 10, 6, 6, 1, 10, 2, 10, 2, 1, 2, 1, 2, 10, 1, 6, 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10, 4, 10, 10, 10, 10, 10, 6, 2, 1, 6, 2, 6, 1, 2, 2, 10, 2, 2, 1, 2, 6, 6, 9, 2, 2, 10, 2, 2, 10, 6, 1, 9, 10, 1, 6, 6, 6, 10, 2, 6, 1, 2, 4, 6, 1, 2, 4, 1, 10, 1, 2, 2, 10, 1, 0, 10, 6, 6, 1, 10, 2, 10, 6, 1, 1, 10, 6, 2, 2, 10, 6, 4, 1, 2, 6, 1, 1, 2, 1, 10, 2, 10, 2, 2, 2, 2, 2, 2, 1, 6, 2, 1, 2, 1, 10, 6, 1, 1, 2, 2, 10, 10, 1, 1, 1, 6, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 6, 6, 1, 10, 6, 2, 1, 2, 1, 2, 6, 6, 10, 2, 6, 10, 10, 2, 1, 1, 10, 2, 10, 6, 6, 1, 6, 6, 2, 1, 10, 6, 10, 10, 1, 10, 6, 2, 10, 10, 2, 6, 10, 2, 6, 1, 1, 10, 1, 10, 6, 1, 2, 1, 6, 10, 1, 1, 6, 6, 1, 2, 1, 6, 10, 2, 6, 1, 1, 1, 10, 10, 10, 10, 6, 1, 2, 6, 2, 4, 1, 2, 2, 10, 10, 1, 5, 2, 1, 2, 2, 6, 6, 2, 2, 6, 0, 6, 6, 2, 1, 2, 1, 1, 2, 6, 6, 1, 6, 2, 10, 1, 2, 10, 10, 10, 2, 1, 10, 2, 2, 10, 10, 6, 6, 1, 2, 6, 2, 1, 2, 6, 10, 10, 2, 1, 10, 6, 2, 10, 1, 1, 2, 2, 2, 10, 6, 1, 10, 10, 2, 5, 10, 1, 10, 1, 6, 2, 10, 1, 10, 1, 6, 10, 10, 2, 6, 2, 1, 10, 6, 2, 10, 1, 1, 1, 1, 1, 1, 9, 1, 2, 10, 2, 2, 10, 0, 6, 1, 10, 6, 6, 10, 10, 1, 6, 10, 2, 1, 6, 1, 6, 10, 10, 6, 1, 1, 10, 2, 2, 1, 6, 2, 2, 6, 2, 6, 10, 6, 2, 1, 6, 6, 6, 6, 1, 2, 1, 6, 1, 1, 2, 4, 2, 10, 9, 1, 1, 5, 2, 2, 1, 6, 6, 1, 10, 1, 6, 2, 6, 4, 1, 2, 2, 10, 10, 6, 2, 10, 2, 10, 1, 6, 2, 6, 2, 2, 1, 2, 6, 10, 6, 6, 6, 2, 6, 1, 10, 1, 6, 2, 10, 1, 1, 10, 10, 6, 10, 2, 6, 2, 2, 1, 4, 1, 2, 2, 10, 1, 1, 0, 6, 6, 2, 1, 10, 2, 2, 6, 10, 1, 2, 2, 1, 10, 2, 1, 2, 6, 10, 10, 2, 2, 5, 1, 6, 2, 2, 5, 6, 6, 10, 1, 10, 10, 2, 2, 2, 6, 6, 10, 2, 1, 10, 1, 1, 2, 10, 1, 6, 1, 1, 2, 6, 6, 2, 1, 6, 2, 1, 1, 6, 6, 6, 10, 1, 1, 2, 6, 1, 10, 10, 6, 1, 6, 1, 2, 2, 2, 1, 1, 10, 2, 10, 2, 2, 10, 2, 1, 10, 10, 10, 10, 1, 2, 10, 1, 1, 1, 1, 6, 6, 1, 2, 10, 1, 1, 2, 2, 2, 2, 2, 4, 10, 10, 1, 6, 10, 2, 6, 10, 10, 6, 6, 4, 2, 1, 6, 6, 6, 1, 6, 6, 1, 10, 6, 1, 6, 6, 1, 10, 2, 6, 9, 2, 1, 10, 2, 10, 10, 6, 10, 6, 1, 10, 2, 1, 2, 10, 1, 6, 1, 10, 6, 2, 10, 6, 2, 1, 1, 10, 10, 6, 1, 6, 1, 4, 2, 10, 6, 6, 6, 2, 2, 2, 6, 2, 2, 1, 5, 1, 1, 10, 10, 1, 2, 1, 10, 10, 2, 2, 1, 2, 0, 2, 2, 10, 10, 2, 6, 2, 6, 10, 2, 1, 6, 1, 1, 2, 2, 10, 2, 1, 6, 6, 1, 6, 10, 2, 10, 6, 2, 10, 1, 6, 10, 1, 6, 6, 10, 10, 6, 1, 6, 6, 10, 10, 1, 6, 2, 1, 2, 10, 10, 2, 8, 2, 2, 10, 1, 10, 10, 6, 10, 1, 6, 2, 1, 10, 10, 10, 6, 6, 6, 6, 1, 1, 2, 2, 1, 10, 10, 9, 10, 6, 1, 1, 6, 6, 2, 1, 10, 2, 1, 10, 1, 1, 1, 2, 2, 2, 6, 1, 10, 2, 10, 10, 2, 2, 10, 2, 2, 1, 2, 6, 2, 6, 6, 6, 10, 1, 1, 2, 2, 6, 10, 6, 2, 6, 6, 2, 10, 6, 1, 6, 1, 2, 2, 10, 10, 6, 10, 1, 6, 1, 1, 1, 10, 10, 6, 2, 6, 2, 6, 2, 6, 10, 10, 10, 6, 10, 2, 2, 2, 6, 6, 1, 6, 6, 10, 10, 1, 6, 2, 10, 10, 6, 6, 6, 6, 10, 1, 6, 1, 2, 1, 10, 6, 6, 6, 6, 1, 6, 10, 6, 2, 2, 2, 6, 2, 5, 1, 1, 10, 10, 6, 1, 1, 5, 1, 10, 2, 6, 6, 2, 10, 2, 6, 10, 0, 2, 6, 10, 10, 2, 10, 2, 2, 6, 2, 2, 6, 0, 6, 6, 1, 2, 1, 6, 1, 0, 1, 10, 1, 6, 10, 1, 2, 1, 5, 10, 10, 10, 10, 6, 1, 10, 20, 2, 6, 1, 2, 2, 2, 1, 1, 6, 4, 1, 6, 10, 10, 6, 1, 2, 6, 6, 1, 10, 6, 2, 2, 1, 1, 2, 1, 2, 2, 6, 0, 6, 10, 1, 10, 6, 10, 1, 6, 1, 2, 6, 2, 2, 2, 10, 10, 6, 1, 2, 10, 1, 1, 4, 2, 1, 6, 1, 1, 6, 2, 6, 2, 2, 1, 2, 1, 1, 6, 6, 1, 6, 10, 2, 10, 1, 10, 10, 6, 1, 10, 2, 6, 2, 10, 6, 2, 2, 10, 6, 6, 6, 6, 6, 2, 1, 6, 10, 1, 2, 10, 1, 2, 2, 1, 0, 5, 1, 6, 1, 1, 10, 6, 6, 2, 1, 2, 1, 10, 1, 1, 6, 6, 1, 1, 2, 0, 1, 6, 0, 10, 2, 6, 6, 2, 10, 6, 10, 2, 1, 2, 1, 2, 6, 6, 1, 6, 10, 1, 2, 2, 2, 1, 1, 1, 10, 1, 2, 2, 6, 2, 9, 2, 2, 1, 10, 6, 2, 1, 1, 10, 6, 1, 6, 2, 1, 2, 2, 2, 10, 1, 2, 6, 1, 5, 1, 2, 1, 6, 10, 10, 6, 10, 10, 2, 6, 10, 2, 6, 1, 6, 2, 2, 3, 6, 6, 2, 6, 6, 10, 2, 6, 1, 10, 1, 2, 1, 6, 1, 10, 1, 2, 10, 10, 2, 2, 1, 6, 6, 2, 10, 10, 10, 2, 2, 1, 6, 1, 10, 6, 2, 10, 10, 2, 10, 10, 6, 10, 10, 1, 10, 1, 10, 10, 6, 10, 2, 2, 1, 2, 1, 2, 1, 6, 10, 2, 6, 6, 6, 6, 1, 1, 2, 1, 2, 2, 2, 6, 2, 10, 10, 2, 1, 1, 10, 1, 10, 6, 4, 2, 2, 6, 2, 6, 6, 6, 10, 2, 10, 6, 2, 6, 9, 2, 10, 2, 2, 2, 10, 0, 2, 10, 2, 2, 6, 10, 1, 2, 6, 1, 1, 2, 6, 1, 2, 1, 10, 2, 10, 2, 6, 10, 1, 2, 6, 2, 2, 10, 2, 2, 6, 2, 2, 2, 1, 10, 6, 10, 10, 1, 1, 6, 6, 2, 6, 6, 10, 2, 6, 2, 10, 2, 6, 10, 6, 1, 6, 10, 1, 4, 6, 2, 1, 10, 2, 2, 1, 1, 10, 2, 1, 10, 1, 6, 2, 2, 1, 6, 6, 10, 2, 1, 2, 6, 10, 2, 10, 9, 5, 2, 1, 10, 2, 2, 2, 2, 10, 2, 10, 1, 1, 1, 1, 1, 2, 1, 10, 10, 1, 2, 2, 2, 6, 2, 10, 2, 6, 10, 2, 1, 6, 10, 1, 2, 6, 10, 1, 2, 2, 1, 10, 6, 1, 6, 2, 1, 6, 2, 2, 2, 2, 6, 1, 6, 6, 10, 6, 10, 1, 10, 6, 5, 1, 2, 1, 1, 6, 1, 1, 10, 1, 10, 1, 10, 1, 6, 1, 1, 2, 2, 1, 1, 2, 1, 10, 2, 6, 6, 10, 5, 9, 10, 6, 1, 1, 6, 1, 10, 1, 10, 6, 6, 2, 6, 6, 6, 10, 2, 1, 2, 2, 6, 2, 6, 6, 6, 2, 1, 10, 1, 10, 1, 2, 0, 6, 6, 6, 2, 10, 10, 1, 10, 10, 2, 2, 2, 2, 2, 2, 6, 1, 6, 10, 10, 10, 2, 1, 2, 2, 2, 6, 9, 1, 6, 10, 1, 6, 4, 1, 10, 10, 2, 10, 1, 1, 10, 1, 1, 1, 2, 1, 1, 10, 2, 10, 6, 6, 10, 6, 6, 10, 6, 10, 6, 2, 1, 6, 10, 1, 6, 10, 0, 6, 9, 10, 10, 2, 10, 2, 1, 6, 2, 6, 2, 6, 1, 4, 2, 6, 6, 10, 1, 1, 2, 6, 10, 10, 10, 1, 1, 10, 1, 10, 2, 0, 2, 6, 1, 0, 6, 10, 6, 1, 10, 1, 1, 10, 1, 10, 6, 10, 1, 2, 2, 6, 1, 2, 10, 1, 1, 10, 1, 10, 1, 6, 2, 10, 6, 2, 10, 2, 2, 1, 6, 2, 8, 2, 10, 6, 1, 0, 10, 6, 2, 1, 6, 10, 6, 2, 2, 2, 1, 1, 10, 10, 1, 0, 2, 6, 6, 2, 2, 10, 6, 6, 6, 2, 2, 2, 0, 1, 2, 6, 6, 6, 10, 6, 2, 1, 2, 2, 6, 6, 6, 2, 6, 1, 1, 6, 1, 6, 2, 2, 1, 10, 6, 2, 1, 10, 10, 2, 10, 1, 2, 1, 1, 2, 1, 6, 6, 2, 1, 6, 6, 10, 2, 1, 2, 2, 2, 2, 1, 10, 2, 2, 10, 6, 2, 10, 2, 10, 2, 6, 10, 2, 6, 6, 2, 1, 1, 2, 2, 1, 10, 10, 1, 10, 1, 6, 6, 6, 10, 10, 2, 6, 2, 6, 1, 2, 2, 10, 10, 10, 1, 10, 10, 2, 2, 1, 6, 1, 2, 1, 10, 2, 2, 10, 2, 6, 1, 6, 2, 10, 6, 10, 10, 10, 1, 6, 2, 6, 10, 6, 6, 1, 6, 10, 6, 10, 10, 2, 10, 2, 9, 10, 9, 10, 2, 10, 6, 4, 1, 2, 2, 1, 2, 2, 6, 1, 1, 6, 10, 1, 6, 2, 6, 2, 10, 6, 10, 10, 6, 10, 10, 0, 0, 6, 10, 2, 9, 4, 1, 2, 10, 6, 1, 10, 10, 6, 2, 2, 6, 1, 10, 6, 2, 2, 9, 10, 1, 6, 10, 10, 6, 10, 10, 10, 2, 1, 6, 1, 2, 2, 1, 0, 6, 6, 10, 1, 10, 2, 10, 2, 10, 1, 6, 5, 10, 2, 10, 6, 6, 2, 2, 10, 2, 1, 1, 10, 6, 6, 2, 2, 1, 1, 6, 1, 1, 10, 10, 10, 6, 6, 6, 1, 1, 6, 1, 6, 4, 6, 6, 2, 1, 10, 10, 6, 1, 6, 1, 6, 10, 1, 10, 6, 10, 2, 1, 10, 2, 6, 6, 1, 6, 6, 2, 1, 6, 10, 6, 2, 6, 1, 1, 10, 1, 10, 10, 10, 6, 6, 6, 10, 2, 10, 10, 6, 1, 10, 2, 2, 2, 6, 1, 2, 2, 6, 2, 10, 2, 2, 2, 1, 2, 10, 1, 2, 6, 1, 6, 1, 1, 6, 10, 1, 1, 10, 1, 2, 6, 1, 2, 2, 2, 10, 2, 6, 6, 2, 6, 10, 2, 10, 6, 10, 2, 1, 10, 2, 2, 6, 6, 2, 6, 10, 1, 9, 6, 6, 6, 1, 1, 2, 1, 1, 1, 6, 6, 1, 6, 1, 2, 1, 10, 1, 10, 10, 6, 0, 6, 6, 9, 1, 1, 2, 1, 10, 1, 2, 2, 10, 1, 10, 10, 10, 10, 2, 10, 6, 2, 6, 10, 1, 1, 10, 10, 1, 2, 10, 1, 6, 1, 1, 2, 2, 2, 2, 1, 1, 10, 1, 6, 10, 10, 2, 1, 10, 1, 10, 1, 2, 6, 2, 1, 10, 6, 1, 6, 2, 6, 1, 1, 1, 6, 4, 1, 6, 1, 10, 6, 6, 6, 2, 10, 1, 2, 6, 2, 2, 2, 1, 6, 2, 6, 2, 5, 6, 1, 1, 6, 1, 6, 1, 10, 1, 6, 2, 10, 6, 9, 1, 10, 10, 10, 6, 6, 1, 10, 2, 6, 2, 2, 2, 10, 1, 10, 1, 2, 2, 2, 10, 1, 10, 6, 1, 10, 1, 10, 6, 1, 10, 10, 10, 1, 1, 2, 6, 6, 6, 10, 2, 6, 10, 1, 10, 1, 6, 1, 10, 10, 2, 10, 2, 10, 1, 10, 10, 10, 1, 2, 10, 2, 1, 10, 10, 2, 2, 6, 2, 2, 10, 2, 1, 1, 10, 6, 2, 10, 2, 10, 10, 1, 6, 1, 10, 2, 2, 1, 1, 6, 10, 10, 5, 6, 6, 2, 6, 9, 6, 1, 10, 4, 6, 1, 10, 10, 2, 1, 10, 1, 2, 1, 10, 10, 2, 10, 6, 1, 1, 6, 10, 1, 10, 2, 2, 2, 1, 10, 6, 10, 10, 10, 1, 10, 10, 2, 1, 1, 1, 6, 10, 10, 10, 2, 10, 2, 10, 2, 1, 1, 10, 2, 1, 9, 10, 10, 10, 2, 10, 6, 1, 1, 10, 2, 10, 2, 6, 1, 2, 1, 1, 6, 6, 10, 10, 6, 10, 6, 6, 1, 1, 1, 2, 2, 2, 10, 6, 1, 6, 1, 6, 10, 6, 1, 6, 2, 9, 2, 10, 2, 6, 2, 1, 1, 0, 2, 10, 10, 6, 1, 1, 6, 10, 10, 10, 6, 10, 6, 10, 1, 6, 10, 2, 1, 10, 2, 0, 2, 6, 6, 1, 6, 6, 1, 1, 2, 6, 6, 6, 2, 10, 2, 1, 2, 1, 1, 2, 6, 6, 10, 10, 6, 6, 2, 2, 2, 6, 2, 1, 2, 1, 2, 1, 0, 2, 6, 10, 1, 10, 2, 2, 6, 6, 10, 2, 6, 2, 10, 1, 6, 1, 1, 2, 6, 2, 10, 2, 1, 1, 1, 10, 2, 6, 2, 10, 6, 2, 10, 2, 2, 2, 6, 2, 6, 10, 2, 6, 6, 1, 10, 10, 6, 1, 10, 2, 1, 2, 6, 1, 1, 1, 1, 1, 1, 10, 2, 10, 2, 6, 1, 6, 2, 2, 2, 6, 1, 1, 2, 6, 10, 6, 2, 2, 10, 2, 2, 2, 6, 2, 6, 10, 6, 6, 2, 2, 1, 2, 1, 6, 10, 6, 1, 2, 1, 6, 1, 10, 6, 2, 6, 6, 2, 6, 1, 6, 10, 1, 6, 2, 2, 1, 1, 2, 6, 2, 10, 6, 2, 9, 2, 1, 6, 6, 2, 1, 2, 1, 2, 2, 1, 2, 6, 6, 6, 6, 1, 10, 5, 1, 1, 10, 4, 1, 6, 10, 10, 6, 10, 2, 2, 2, 1, 10, 6, 1, 1, 6, 2, 2, 2, 10, 2, 6, 1, 1, 10, 1, 1, 10, 10, 10, 2, 6, 2, 2, 10, 3, 2, 10, 2, 1, 6, 1, 2, 5, 6, 6, 6, 2, 1, 10, 6, 6, 2, 2, 10, 2, 6, 10, 2, 1, 6, 2, 10, 2, 2, 10, 2, 6, 10, 1, 6, 1, 1, 6, 5, 6, 6, 6, 1, 6, 10, 6, 10, 2, 10, 6, 1, 2, 10, 2, 6, 2, 2, 6, 10, 10, 9, 10, 5, 0, 2, 2, 10, 1, 1, 6, 2, 6, 2, 0, 1, 2, 10, 1, 10, 10, 6, 1, 1, 6, 6, 1, 2, 6, 1, 10, 2, 10, 10, 1, 6, 6, 6, 2, 1, 2, 6, 2, 10, 2, 10, 1, 10, 2, 1, 1, 6, 1, 1, 2, 10, 6, 6, 2, 1, 1, 10, 1, 6, 1, 6, 2, 6, 1, 6, 6, 1, 6, 2, 10, 6, 1, 1, 1, 1, 2, 1, 10, 2, 10, 1, 2, 1, 1, 10, 10, 1, 6, 2, 2, 10, 6, 2, 10, 6, 1, 2, 2, 6, 2, 10, 2, 10, 6, 6, 6, 6, 6, 1, 2, 10, 10, 1, 10, 2, 2, 1, 10, 1, 2, 2, 4, 1, 6, 6, 1, 10, 1, 1, 6, 10, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 10, 10, 2, 1, 2, 1, 9, 1, 1, 6, 6, 10, 1, 1, 2, 2, 6, 2, 2, 10, 6, 2, 2, 6, 2, 6, 1, 0, 10, 10, 1, 6, 1, 10, 10, 1, 2, 10, 2, 5, 1, 10, 2, 1, 1, 10, 2, 6, 10, 1, 6, 6, 10, 1, 1, 1, 10, 10, 10, 2, 2, 6, 6, 2, 6, 2, 6, 6, 2, 1, 1, 10, 2, 0, 6, 6, 6, 2, 6, 2, 10, 2, 10, 6, 6, 2, 10, 5, 6, 1, 6, 2, 1, 1, 2, 6, 10, 8, 10, 10, 5, 6, 1, 2, 0, 6, 1, 6, 1, 1, 10, 2, 6, 10, 6, 10, 6, 2, 1, 10, 2, 1, 1, 6, 1, 1, 6, 10, 10, 10, 1, 6, 10, 1, 2, 1, 10, 2, 10, 2, 6, 1, 10, 6, 10, 1, 1, 10, 1, 2, 6, 2, 1, 1, 9, 9, 2, 2, 10, 1, 6, 6, 6, 1, 6, 1, 6, 2, 6, 1, 6, 2, 1, 1, 0, 1, 6, 1, 10, 10, 6, 1, 1, 1, 10, 6, 6, 6, 1, 10, 1, 6, 6, 2, 1, 2, 6, 2, 5, 1, 2, 1, 10, 6, 6, 2, 2, 6, 2, 1, 1, 2, 10, 1, 10, 2, 6, 6, 1, 10, 10, 1, 6, 10, 10, 6, 2, 1, 10, 2, 10, 2, 10, 6, 6, 1, 10, 2, 10, 2, 0, 6, 6, 10, 10, 2, 5, 1, 2, 2, 6, 9, 2, 9, 1, 1, 2, 1, 1, 6, 1, 9, 6, 6, 2, 1, 6, 6, 10, 10, 6, 10, 1, 6, 2, 10, 1, 6, 10, 1, 10, 6, 10, 2, 2, 10, 1, 2, 5, 6, 10, 2, 6, 6, 10, 1, 2, 1, 6, 1, 10, 2, 1, 9, 10, 9, 10, 6, 10, 6, 2, 1, 6, 1, 2, 2, 1, 6, 6, 2, 10, 6, 10, 10, 6, 1, 2, 2, 2, 2, 10, 6, 2, 1, 6, 2, 1, 2, 2, 6, 6, 6, 2, 0, 4, 1, 1, 6, 6, 10, 6, 2, 2, 10, 1, 6, 6, 1, 1, 1, 10, 1, 1, 6, 1, 6, 6, 2, 6, 10, 1, 1, 6, 6, 2, 6, 2, 2, 1, 10, 1, 10, 6, 6, 10, 10, 2, 2, 1, 6, 2, 2, 1, 1, 10, 10, 10, 6, 6, 1, 1, 10, 6, 9, 6, 6, 6, 6, 2, 10, 6, 6, 10, 6, 6, 2, 10, 2, 4, 6, 10, 10, 1, 0, 2, 10, 2, 8, 6, 2, 6, 6, 6, 10, 10, 1, 6, 6, 10, 10, 1, 6, 1, 10, 2, 2, 10, 1, 1, 2, 1, 6, 10, 6, 2, 1, 6, 2, 10, 2, 6, 10, 10, 10, 2, 6, 6, 1, 10, 2, 1, 10, 6, 10, 10, 1, 2, 1, 6, 10, 6, 2, 6, 6, 6, 40, 10, 1, 10, 6, 6, 1, 1, 1, 1, 2, 1, 6, 1, 2, 6, 6, 10, 2, 6, 10, 2, 10, 6, 10, 2, 2, 6, 6, 1, 6, 6, 5, 6, 10, 2, 1, 1, 6, 6, 6, 2, 6, 1, 6, 6, 6, 10, 6, 1, 10, 6, 6, 1, 6, 1, 2, 5, 6, 10, 1, 6, 10, 10, 6, 6, 2, 10, 6, 1, 2, 1, 2, 2, 1, 1, 2, 6, 10, 10, 10, 6, 6, 6, 1, 6, 6, 1, 6, 1, 9, 6, 6, 1, 1, 2, 2, 1, 10, 2, 6, 1, 1, 2, 1, 2, 2, 10, 10, 2, 2, 6, 6, 6, 2, 2, 6, 6, 6, 2, 6, 2, 6, 10, 6, 2, 10, 2, 2, 10, 9, 10, 2, 10, 2, 1, 10, 2, 6, 2, 1, 2, 2, 5, 1, 9, 0, 10, 2, 6, 10, 2, 6, 2, 10, 1, 1, 10, 2, 10, 1, 6, 6, 6, 10, 5, 2, 2, 10, 2, 1, 2, 2, 6, 1, 10, 1, 2, 10, 1, 2, 2, 2, 2, 6, 6, 10, 6, 1, 6, 4, 2, 6, 2, 2, 2, 1, 6, 6, 10, 9, 1, 10, 2, 10, 6, 6, 6, 6, 6, 10, 0, 6, 9, 1, 2, 4, 2, 2, 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10, 1, 50, 2, 6, 6, 6, 6, 10, 10, 1, 6, 0, 10, 2, 1, 10, 1, 10, 2, 2, 1, 1, 10, 10, 6, 1, 1, 6, 10, 2, 1, 6, 1, 10, 6, 1, 2, 6, 10, 2, 10, 1, 10, 2, 1, 1, 1, 2, 1, 6, 1, 1, 6, 10, 2, 1, 2, 6, 10, 10, 10, 6, 10, 6, 1, 1, 6, 10, 10, 10, 2, 10, 10, 2, 2, 6, 10, 10, 2, 2, 10, 6, 1, 6, 1, 1, 1, 1, 1, 10, 1, 1, 6, 10, 1, 1, 1, 6, 6, 2, 2, 1, 2, 2, 6, 10, 10, 1, 0, 2, 2, 6, 1, 2, 5, 2, 2, 6, 10, 10, 6, 1, 2, 6, 2, 6, 9, 10, 1, 1, 6, 6, 10, 6, 10, 2, 2, 10, 2, 2, 2, 1, 6, 1, 2, 10, 10, 6, 6, 10, 10, 1, 2, 6, 1, 6, 10, 6, 1, 1, 6, 10, 2, 1, 1, 2, 6, 6, 1, 6, 2, 6, 6, 10, 2, 2, 1, 2, 2, 6, 2, 6, 10, 6, 10, 2, 2, 1, 10, 6, 1, 1, 1, 6, 1, 1, 6, 6, 1, 2, 10, 6, 2, 1, 6, 1, 1, 2, 1, 6, 10, 1, 2, 2, 10, 6, 1, 2, 6, 6, 6, 10, 2, 2, 6, 1, 6, 2, 10, 1, 1, 6, 6, 6, 10, 2, 1, 2, 1, 0, 10, 1, 1, 6, 6, 6, 10, 6, 2, 6, 10, 10, 2, 6, 6, 6, 0, 2, 6, 1, 2, 2, 2, 6, 10, 10, 10, 6, 2, 6, 10, 6, 2, 1, 10, 10, 2, 2, 1, 1, 1, 10, 10, 1, 6, 10, 2, 10, 2, 2, 10, 6, 6, 2, 10, 6, 6, 1, 1, 2, 1, 10, 1, 10, 10, 6, 2, 1, 6, 1, 6, 2, 2, 10, 6, 5, 10, 6, 2, 10, 6, 6, 2, 1, 10, 2, 10, 2, 2, 6, 10, 0, 1, 1, 1, 2, 2, 2, 6, 10, 2, 6, 1, 10, 9, 2, 10, 1, 10, 1, 2, 1, 1, 1, 6, 10, 1, 1, 6, 6, 2, 2, 6, 1, 6, 10, 6, 10, 2, 1, 6, 1, 1, 1, 6, 5, 10, 1, 4, 10, 1, 10, 6, 2, 2, 2, 2, 10, 2, 1, 6, 6, 10, 6, 6, 6, 1, 6, 10, 2, 10, 1, 1, 6, 2, 2, 1, 1, 2, 6, 6, 10, 10, 6, 2, 2, 10, 2, 4, 6, 6, 2, 1, 6, 1, 6, 9, 1, 1, 6, 6, 5, 1, 2, 2, 0, 6, 2, 6, 1, 10, 6, 2, 1, 1, 1, 1, 2, 10, 10, 2, 1, 6, 10, 10, 6, 2, 10, 2, 1, 6, 1, 2, 5, 2, 1, 10, 2, 10, 10, 6, 10, 6, 6, 6, 2, 1, 1, 1, 10, 1, 2, 6, 6, 6, 10, 1, 2, 10, 10, 6, 6, 6, 1, 10, 10, 10, 6, 2, 6, 1, 10, 10, 10, 9, 1, 2, 2, 1, 1, 1, 10, 1, 2, 10, 2, 6, 1, 10, 2, 10, 2, 6, 1, 6, 2, 6, 6, 6, 2, 10, 5, 10, 2, 2, 6, 1, 6, 9, 1, 6, 1, 1, 3, 6, 2, 1, 10, 4, 6, 1, 6, 10, 6, 6, 1, 10, 4, 6, 1, 2, 10, 2, 2, 6, 2, 2, 2, 1, 2, 2, 1, 10, 2, 10, 1, 0, 2, 1, 6, 6, 1, 6, 2, 10, 10, 10, 2, 1, 9, 6, 2, 1, 2, 10, 10, 10, 2, 10, 1, 1, 1, 10, 6, 10, 6, 10, 1, 2, 6, 10, 6, 2, 2, 6, 1, 2, 10, 1, 10, 6, 1, 6, 10, 10, 10, 2, 6, 6, 1, 2, 1, 1, 1, 2, 6, 1, 10, 2, 10, 10, 1, 2, 10, 1, 10, 2, 1, 10, 1, 6, 10, 1, 2, 1, 10, 6, 6, 2, 2, 1, 10, 6, 1, 10, 2, 2, 2, 10, 2, 1, 10, 1, 6, 1, 10, 2, 6, 10, 10, 1, 2, 2, 2, 2, 6, 10, 10, 6, 2, 6, 10, 10, 2, 10, 1, 10, 2, 2, 2, 1, 2, 0, 1, 6, 10, 10, 2, 10, 6, 10, 1, 1, 6, 1, 10, 1, 6, 1, 1, 10, 6, 10, 1, 1, 9, 1, 1, 1, 1, 10, 2, 10, 6, 2, 6, 1, 2, 10, 10, 2, 1, 10, 10, 6, 0, 10, 2, 0, 10, 10, 2, 1, 6, 10, 10, 1, 10, 1, 1, 6, 6, 6, 0, 1, 1, 1, 2, 2, 2, 6, 2, 10, 10, 10, 1, 4, 2, 6, 1, 10, 2, 2, 6, 10, 2, 2, 1, 2, 6, 1, 2, 1, 10, 1, 10, 10, 10, 10, 1, 2, 10, 6, 6, 2, 10, 2, 6, 10, 2, 1, 2, 1, 2, 2, 2, 10, 10, 10, 2, 6, 2, 1, 1, 2, 1, 10, 6, 6, 6, 0, 10, 10, 10, 2, 0, 2, 2, 10, 1, 1, 2, 2, 6, 6, 1, 10, 2, 10, 6, 10, 1, 2, 1, 10, 1, 6, 2, 10, 2, 2, 2, 1, 1, 10, 1, 2, 6, 1, 6, 6, 6, 2, 6, 2, 10, 2, 1, 1, 1, 1, 10, 6, 1, 6, 10, 10, 1, 2, 2, 10, 0, 6, 6, 2, 1, 6, 6, 1, 1, 6, 1, 6, 10, 10, 1, 9, 2, 2, 10, 2, 1, 2, 6, 6, 2, 5, 1, 10, 6, 1, 1, 1, 6, 2, 6, 1, 6, 6, 6, 2, 6, 10, 1, 10, 6, 10, 10, 10, 10, 6, 2, 1, 2, 10, 2, 6, 1, 1, 6, 10, 2, 10, 2, 6, 10, 6, 10, 1, 1, 10, 1, 6, 2, 6, 6, 6, 4, 6, 10, 10, 1, 10, 2, 1, 9, 4, 10, 5, 10, 10, 10, 10, 6, 10, 6, 2, 2, 10, 10, 1, 2, 2, 2, 1, 1, 6, 1, 6, 1, 10, 1, 10, 2, 10, 2, 5, 2, 2, 9, 1, 10, 6, 60, 10, 1, 2, 2, 1, 1, 10, 2, 6, 6, 1, 6, 6, 6, 6, 6, 10, 1, 2, 10, 10, 1, 6, 1, 6, 6, 1, 2, 10, 6, 1, 2, 10, 2, 10, 6, 1, 1, 10, 1, 6, 10, 10, 6, 6, 10, 9, 6, 10, 6, 1, 1, 10, 6, 6, 4, 10, 6, 6, 10, 1, 1, 2, 1, 6, 1, 6, 6, 10, 2, 6, 6, 2, 2, 6, 2, 2, 6, 1, 2, 2, 6, 10, 6, 2, 6, 2, 10, 6, 1, 2, 2, 1, 2, 1, 10, 1, 9, 1, 1, 2, 2, 2, 10, 6, 2, 10, 10, 6, 6, 1, 2, 6, 6, 10, 6, 1, 6, 1, 1, 6, 1, 1, 6, 6, 6, 1, 6, 6, 2, 10, 1, 1, 1, 1, 10, 2, 6, 6, 2, 6, 10, 6, 2, 1, 6, 6, 2, 1, 5, 2, 4, 2, 4, 10, 1, 0, 1, 6, 2, 2, 5, 1, 2, 6, 10, 2, 1, 6, 5, 2, 2, 10, 2, 2, 10, 10, 2, 2, 10, 6, 6, 6, 1, 10, 6, 1, 2, 6, 10, 2, 10, 6, 10, 10, 2, 10, 1, 2, 2, 6, 2, 6, 10, 6, 10, 1, 6, 1, 1, 10, 10, 2, 10, 6, 2, 2, 10, 1, 2, 2, 6, 1, 1, 1, 6, 1, 2, 1, 1, 10, 0, 10, 1, 1, 10, 10, 10, 10, 1, 10, 6, 2, 6, 2, 1, 6, 10, 1, 10, 2, 2, 2, 0, 5, 1, 2, 6, 2, 0, 10, 10, 10, 2, 10, 2, 6, 2, 10, 10, 10, 6, 1, 2, 1, 1, 10, 10, 1, 6, 1, 1, 10, 10, 2, 6, 2, 6, 6, 6, 1, 6, 6, 2, 10, 1, 6, 1, 1, 6, 1, 2, 9, 1, 10, 10, 10, 0, 1, 10, 1, 10, 2, 1, 6, 6, 2, 1, 1, 10, 1, 9, 1, 10, 6, 1, 2, 1, 2, 7, 6, 1, 10, 10, 10, 10, 2, 1, 10, 10, 1, 1, 2, 1, 10, 6, 1, 10, 1, 2, 6, 1, 2, 1, 6, 2, 2, 6, 1, 1, 10, 6, 1, 0, 6, 10, 6, 10, 6, 2, 6, 6, 2, 2, 1, 10, 2, 5, 2, 6, 6, 6, 6, 2, 2, 2, 1, 1, 2, 1, 6, 2, 10, 10, 2, 6, 6, 6, 6, 6, 2, 6, 6, 6, 6, 1, 6, 2, 1, 6, 10, 2, 1, 1, 0, 10, 10, 6, 1, 2, 2, 6, 1, 5, 6, 10, 2, 10, 1, 2, 10, 10, 1, 6, 1, 4, 2, 10, 10, 10, 10, 2, 1, 10, 6, 1, 1, 2, 2, 6, 10, 10, 2, 2, 2, 2, 10, 10, 6, 10, 10, 10, 10, 10, 6, 6, 2, 6, 1, 6, 6, 1, 10, 6, 6, 10, 2, 9, 6, 10, 1, 10, 10, 5, 1, 2, 10, 2, 1, 2, 6, 1, 6, 2, 2, 10, 1, 1, 1, 10, 2, 1, 10, 6, 6, 10, 1, 2, 1, 10, 10, 6, 10, 6, 1, 10, 6, 2, 6, 6, 6, 2, 2, 1, 1, 2, 10, 1, 2, 10, 1, 1, 2, 9, 2, 1, 6, 2, 6, 10, 6, 1, 6, 10, 1, 2, 10, 6, 2, 6, 6, 1, 2, 10, 10, 2, 2, 10, 1, 1, 6, 10, 6, 6, 2, 2, 6, 6, 1, 2, 10, 2, 10, 1, 10, 10, 6, 1, 1, 6, 1, 1, 2, 1, 2, 6, 2, 6, 2, 5, 1, 1, 1, 10, 6, 1, 1, 1, 10, 1, 2, 1, 10, 1, 6, 1, 6, 6, 2, 10, 1, 6, 2, 2, 6, 6, 10, 6, 10, 6, 10, 10, 10, 2, 6, 6, 6, 6, 2, 2, 2, 9, 1, 2, 1, 6, 1, 1, 1, 10, 2, 10, 1, 2, 1, 6, 10, 6, 10, 2, 10, 6, 6, 10, 5, 1, 2, 1, 2, 10, 6, 1, 2, 6, 6, 6, 2, 10, 1, 6, 6, 6, 6, 6, 1, 1, 2, 2, 10, 6, 6, 2, 2, 1, 2, 6, 1, 1, 10, 6, 1, 10, 10, 1, 1, 10, 10, 10, 6, 6, 6, 10, 2, 6, 1, 6, 6, 10, 2, 6, 2, 2, 10, 10, 6, 1, 1, 6, 2, 1, 2, 2, 6, 6, 2, 6, 10, 10, 10, 6, 6, 2, 1, 10, 10, 1, 6, 2, 6, 2, 10, 2, 2, 10, 1, 10, 6, 6, 10, 2, 1, 1, 1, 2, 2, 6, 6, 0, 2, 1, 10, 2, 6, 1, 2, 1, 10, 2, 10, 1, 10, 2, 2, 6, 10, 6, 2, 1, 2, 1, 2, 0, 1, 6, 2, 1, 1, 6, 1, 6, 1, 6, 10, 2, 1, 1, 2, 10, 6, 6, 2, 6, 1, 6, 1, 2, 1, 6, 6, 2, 6, 2, 6, 9, 2, 10, 4, 6, 10, 2, 6, 2, 6, 10, 2, 4, 10, 10, 2, 10, 10, 6, 1, 4, 6, 1, 6, 1, 10, 10, 2, 9, 10, 6, 2, 2, 6, 6, 10, 1, 10, 6, 2, 1, 1, 10, 10, 2, 2, 1, 6, 6, 1, 2, 10, 2, 1, 6, 6, 2, 2, 10, 2, 6, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 2, 1, 2, 1, 10, 1, 6, 1, 10, 1, 1, 10, 10, 5, 1, 10, 1, 1, 10, 6, 6, 1, 10, 10, 1, 6, 1, 10, 2, 10, 1, 1, 6, 1, 6, 2, 1, 10, 2, 6, 1, 6, 9, 2, 10, 2, 2, 1, 2, 6, 10, 6, 6, 2, 2, 2, 6, 2, 2, 2, 2, 10, 6, 2, 2, 2, 10, 1, 2, 1, 6, 10, 6, 2, 2, 1, 10, 10, 2, 1, 6, 2, 4, 1, 2, 6, 6, 10, 6, 6, 10, 6, 6, 6, 6, 10, 1, 10, 1, 1, 6, 10, 1, 10, 10, 10, 6, 10, 6, 2, 2, 6, 6, 10, 1, 2, 2, 6, 4, 10, 2, 1, 10, 2, 5, 6, 10, 1, 1, 10, 2, 10, 6, 1, 2, 6, 6, 4, 5, 2, 6, 1, 6, 6, 6, 2, 2, 2, 10, 2, 1, 6, 6, 10, 10, 10, 1, 2, 2, 10, 2, 1, 2, 6, 6, 2, 6, 10, 1, 2, 1, 10, 2, 1, 2, 10, 10, 4, 1, 2, 1, 2, 1, 6, 6, 1, 6, 6, 1, 6, 6, 1, 10, 10, 6, 1, 2, 10, 1, 6, 6, 1, 10, 10, 1, 6, 4, 6, 10, 1, 2, 6, 6, 2, 6, 2, 2, 1, 10, 2, 2, 6, 1, 2, 1, 10, 2, 2, 10, 10, 1, 1, 1, 6, 6, 2, 1, 2, 1, 2, 6, 1, 6, 1, 2, 6, 10, 4, 2, 6, 6, 9, 10, 2, 6, 1, 10, 1, 6, 6, 6, 1, 9, 2, 6, 1, 6, 2, 2, 1, 10, 1, 10, 1, 2, 6, 2, 1, 6, 2, 10, 10, 5, 2, 2, 2, 10, 2, 6, 2, 2, 10, 2, 10, 2, 1, 10, 10, 2, 10, 10, 10, 6, 10, 1, 1, 2, 1, 1, 1, 1, 2, 6, 6, 2, 6, 1, 1, 6, 1, 10, 1, 6, 1, 10, 10, 6, 10, 10, 2, 2, 10, 6, 6, 6, 1, 1, 2, 10, 10, 2, 1, 6, 10, 1, 1, 6, 1, 10, 2, 6, 6, 2, 10, 10, 10, 2, 1, 2, 1, 10, 2, 1, 10, 6, 2, 2, 6, 9, 10, 6, 1, 1, 1, 6, 2, 10, 6, 10, 1, 1, 2, 2, 10, 2, 6, 6, 6, 6, 2, 10, 3, 2, 2, 10, 6, 6, 2, 1, 10, 2, 1, 1, 1, 6, 6, 10, 2, 5, 2, 9, 6, 6, 6, 2, 6, 10, 1, 1, 0, 2, 2, 1, 10, 6, 1, 2, 6, 1, 10, 6, 6, 2, 6, 1, 10, 1, 1, 6, 6, 1, 6, 10, 6, 1, 10, 10, 6, 6, 2, 2, 6, 10, 6, 6, 10, 10, 2, 2, 6, 6, 10, 10, 10, 2, 2, 10, 2, 6, 2, 2, 6, 10, 1, 2, 1, 2, 10, 10, 6, 1, 1, 6, 10, 10, 1, 6, 10, 10, 1, 6, 5, 10, 6, 6, 10, 2, 10, 10, 6, 6, 10, 1, 2, 1, 2, 10, 2, 10, 1, 6, 6, 2, 1, 1, 5, 10, 6, 2, 2, 2, 1, 10, 6, 1, 9, 1, 1, 1, 6, 6, 10, 6, 2, 2, 1, 10, 1, 6, 1, 1, 1, 6, 2, 10, 0, 1, 10, 10, 10, 6, 10, 1, 6, 10, 10, 1, 1, 2, 10, 1, 10, 1, 6, 6, 2, 1, 10, 2, 1, 1, 4, 2, 2, 6, 10, 1, 6, 6, 2, 1, 2, 2, 10, 10, 10, 2, 1, 1, 10, 1, 1, 6, 10, 10, 2, 2, 6, 6, 10, 2, 1, 1, 6, 1, 6, 2, 6, 2, 1, 1, 1, 2, 2, 2, 10, 1, 1, 0, 2, 10, 4, 6, 10, 1, 10, 6, 2, 6, 1, 1, 6, 6, 10, 10, 10, 6, 2, 10, 6, 10, 1, 5, 1, 6, 5, 10, 2, 10, 1, 6, 2, 2, 5, 10, 10, 2, 10, 2, 6, 1, 2, 10, 2, 6, 2, 6, 1, 10, 1, 1, 1, 6, 6, 10, 10, 1, 10, 1, 10, 1, 10, 6, 1, 1, 2, 10, 9, 10, 1, 1, 1, 10, 10, 2, 10, 1, 1, 2, 6, 6, 1, 2, 1, 6, 2, 2, 10, 2, 1, 2, 2, 2, 2, 10, 6, 2, 10, 1, 6, 10, 10, 1, 0, 1, 10, 2, 2, 2, 2, 6, 2, 2, 1, 6, 1, 2, 6, 1, 1, 1, 1, 2, 2, 6, 1, 2, 10, 10, 10, 6, 6, 4, 6, 2, 10, 10, 1, 10, 2, 10, 2, 1, 1, 2, 10, 1, 1, 6, 1, 2, 1, 10, 1, 2, 2, 2, 6, 1, 10, 2, 6, 2, 2, 1, 2, 2, 10, 6, 10, 10, 1, 6, 1, 2, 1, 6, 6, 2, 2, 1, 1, 2, 1, 1, 6, 10, 10, 2, 10, 10, 2, 6, 2, 2, 10, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 6, 6, 6, 2, 6, 6, 6, 2, 2, 4, 1, 1, 2, 1, 2, 2, 6, 1, 1, 10, 4, 1, 1, 6, 1, 1, 1, 1, 2, 1, 1, 10, 2, 10, 1, 2, 6, 2, 2, 10, 1, 10, 1, 6, 6, 2, 10, 1, 2, 4, 2, 0, 2, 10, 6, 2, 1, 1, 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2, 6, 6, 2, 6, 2, 6, 2, 1, 10, 1, 6, 10, 2, 2, 10, 2, 10, 10, 2, 2, 2, 1, 10, 2, 1, 2, 1, 6, 6, 2, 6, 2, 1, 6, 10, 2, 1, 1, 2, 6, 2, 1, 10, 10, 10, 2, 1, 1, 2, 1, 10, 2, 6, 0, 9, 2, 1, 1, 10, 10, 1, 2, 10, 10, 2, 2, 10, 6, 1, 2, 2, 2, 2, 1, 6, 2, 1, 2, 2, 10, 6, 1, 2, 2, 10, 6, 6, 10, 1, 9, 4, 6, 2, 6, 6, 1, 6, 2, 1, 10, 9, 1, 6, 6, 2, 10, 1, 1, 10, 6, 9, 10, 1, 6, 10, 6, 6, 6, 10, 10, 6, 6, 2, 6, 2, 1, 1, 1, 0, 2, 2, 6, 1, 1, 10, 6, 9, 10, 10, 10, 6, 10, 6, 2, 10, 6, 10, 6, 2, 10, 1, 10, 1, 1, 1, 2, 1, 1, 10, 6, 2, 6, 10, 6, 10, 10, 6, 2, 1, 10, 1, 6, 2, 6, 6, 6, 10, 10, 10, 2, 2, 2, 6, 2, 10, 1, 6, 10, 10, 6, 6, 2, 2, 4, 6, 10, 1, 2, 1, 2, 1, 1, 2, 1, 6, 10, 9, 6, 6, 6, 5, 6, 2, 1, 6, 10, 10, 1, 1, 10, 10, 1, 1, 1, 10, 10, 1, 2, 10, 1, 6, 6, 10, 1, 2, 6, 2, 6, 10, 10, 10, 6, 6, 2, 9, 10, 1, 10, 10, 2, 4, 10, 6, 1, 10, 2, 6, 1, 1, 6, 10, 1, 0, 1, 1, 2, 2, 6, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 10, 1, 10, 1, 10, 1, 2, 2, 1, 2, 2, 6, 10, 6, 2, 2, 6, 2, 10, 10, 1, 0, 2, 6, 10, 1, 1, 6, 6, 1, 2, 1, 9, 2, 6, 1, 1, 10, 6, 10, 10, 1, 2, 6, 1, 10, 10, 6, 6, 2, 10, 4, 1, 6, 6, 6, 6, 10, 2, 2, 2, 6, 4, 4, 6, 1, 2, 6, 10, 6, 2, 6, 10, 4, 1, 2, 10, 1, 2, 2, 10, 4, 2, 10, 6, 1, 2, 9, 1, 6, 10, 2, 1, 1, 10, 1, 6, 6, 10, 10, 6, 10, 6, 1, 10, 1, 1, 6, 1, 10, 10, 2, 6, 6, 2, 2, 2, 10, 2, 6, 2, 10, 10, 1, 2, 10, 6, 1, 10, 1, 10, 6, 6, 2, 2, 2, 6, 2, 2, 1, 6, 2, 6, 2, 2, 10, 6, 10, 2, 6, 2, 5, 10, 2, 1, 1, 6, 2, 2, 6, 10, 1, 2, 6, 2, 1, 0, 2, 10, 6, 2, 2, 1, 6, 1, 6, 1, 10, 10, 10, 1, 6, 1, 6, 6, 6, 10, 2, 1, 1, 2, 6, 10, 10, 6, 10, 2, 2, 1, 1, 2, 6, 10, 2, 2, 6, 1, 10, 10, 10, 6, 2, 6, 2, 2, 2, 10, 2, 10, 6, 1, 10, 10, 6, 1, 4, 10, 1, 2, 2, 10, 1, 1, 6, 10, 2, 1, 1, 6, 1, 6, 10, 10, 1, 6, 1, 2, 10, 10, 6, 2, 10, 10, 2, 2, 10, 1, 2, 6, 9, 1, 2, 1, 6, 10, 10, 2, 5, 10, 2, 1, 2, 1, 10, 2, 1, 2, 2, 1, 1, 10, 2, 6, 6, 2, 10, 10, 10, 6, 2, 6, 6, 6, 2, 6, 10, 6, 6, 1, 10, 6, 10, 6, 10, 10, 1, 1, 1, 6, 6, 1, 10, 2, 1, 2, 10, 1, 10, 6, 2, 10, 6, 2, 1, 10, 10, 10, 2, 10, 10, 1, 10, 1, 6, 1, 10, 10, 6, 6, 2, 2, 1, 1, 1, 10, 2, 10, 1, 2, 6, 10, 2, 6, 6, 2, 1, 2, 2, 1, 2, 1, 6, 6, 1, 6, 0, 2, 10, 6, 1, 6, 10, 1, 1, 2, 2, 6, 6, 10, 10, 2, 2, 1, 6, 6, 1, 2, 1, 10, 6, 1, 6, 10, 10, 1, 10, 6, 10, 6, 1, 1, 2, 6, 10, 10, 10, 6, 2, 2, 6, 6, 1, 1, 10, 2, 2, 2, 2, 6, 6, 6, 1, 1, 2, 10, 1, 1, 10, 6, 1, 2, 2, 10, 2, 6, 1, 10, 6, 2, 1, 10, 10, 1, 6, 10, 2, 6, 1, 10, 0, 1, 1, 10, 6, 1, 2, 2, 6, 1, 2, 1, 6, 10, 6, 4, 6, 2, 10, 1, 2, 10, 1, 10, 6, 2, 10, 6, 2, 1, 6, 6, 6, 2, 6, 1, 10, 6, 1, 2, 10, 2, 6, 2, 1, 2, 6, 10, 1, 6, 10, 6, 6, 2, 1, 1, 1, 2, 2, 1, 6, 2, 2, 1, 2, 10, 6, 6, 2, 1, 6, 6, 1, 6, 8, 2, 2, 1, 2, 2, 10, 1, 10, 1, 6, 10, 2, 2, 2, 1, 1, 1, 10, 4, 2, 5, 2, 2, 1, 10, 1, 9, 5, 10, 10, 6, 2, 1, 2, 10, 1, 6, 2, 1, 1, 2, 10, 1, 6, 10, 6, 2, 2, 6, 2, 10, 2, 2, 2, 4, 10, 6, 1, 0, 10, 2, 6, 2, 10, 6, 2, 2, 2, 1, 6, 10, 6, 10, 6, 10, 2, 6, 2, 6, 2, 1, 1, 1, 5, 6, 6, 1, 1, 6, 60, 2, 6, 10, 1, 10, 6, 1, 10, 1, 1, 6, 10, 1, 9, 1, 2, 6, 10, 6, 6, 6, 0, 10, 2, 5, 6, 10, 1, 1, 2, 10, 1, 1, 6, 0, 0, 1, 10, 10, 10, 6, 2, 10, 6, 2, 2, 6, 6, 2, 6, 2, 10, 6, 1, 10, 6, 10, 10, 6, 10, 2, 2, 6, 1, 10, 1, 2, 2, 10, 10, 6, 10, 10, 6, 1, 6, 2, 5, 2, 10, 50, 4, 1, 1, 10, 6, 10, 1, 10, 1, 6, 1, 1, 10, 1, 1, 1, 2, 1, 10, 10, 10, 6, 1, 1, 1, 1, 6, 1, 6, 10, 6, 2, 6, 6, 1, 1, 2, 6, 10, 10, 6, 1, 10, 6, 1, 6, 10, 6, 10, 1, 6, 0, 2, 1, 6, 1, 1, 10, 6, 10, 1, 10, 10, 6, 10, 5, 10, 1, 6, 10, 6, 2, 2, 2, 2, 10, 2, 2, 6, 1, 6, 10, 2, 10, 2, 1, 1, 6, 10, 0, 10, 2, 6, 6, 1, 2, 6, 6, 1, 6, 6, 10, 2, 10, 1, 1, 6, 6, 1, 2, 6, 10, 6, 2, 6, 5, 2, 2, 2, 6, 10, 2, 2, 1, 2, 10, 1, 1, 6, 2, 2, 1, 1, 2, 10, 10, 6, 1, 6, 1, 1, 1, 6, 4, 2, 10, 2, 10, 2, 10, 10, 10, 10, 2, 4, 1, 1, 1, 1, 1, 1, 2, 2, 1, 10, 10, 10, 1, 1, 10, 10, 10, 6, 10, 10, 6, 10, 5, 1, 2, 10, 2, 6, 2, 2, 9, 10, 6, 1, 10, 10, 6, 6, 1, 6, 2, 2, 6, 6, 6, 1, 1, 6, 1, 10, 1, 1, 1, 10, 1, 10, 6, 1, 1, 1, 2, 6, 1, 6, 1, 1, 6, 6, 10, 1, 10, 1, 10, 6, 6, 0, 6, 10, 6, 1, 6, 2, 6, 6, 1, 6, 4, 6, 10, 6, 6, 10, 6, 1, 6, 1, 2, 1, 2, 6, 1, 10, 10, 1, 2, 1, 10, 2, 2, 2, 6, 5, 6, 2, 10, 10, 2, 6, 6, 6, 6, 1, 1, 10, 10, 2, 2, 1, 2, 2, 10, 10, 2, 2, 2, 10, 10, 2, 1, 2, 1, 10, 2, 2, 10, 6, 6, 6, 10, 6, 1, 10, 10, 2, 6, 10, 1, 10, 10, 6, 2, 2, 6, 1, 6, 10, 6, 1, 6, 6, 10, 1, 6, 6, 6, 6, 1, 1, 10, 5, 6, 10, 1, 1, 10, 1, 2, 6, 1, 1, 2, 6, 10, 6, 10, 10, 6, 1, 2, 2, 2, 6, 10, 1, 2, 1, 1, 2, 6, 10, 1, 1, 1, 6, 1, 10, 1, 1, 2, 6, 1, 2, 6, 1, 6, 2, 1, 6, 2, 1, 10, 2, 6, 1, 6, 2, 1, 2, 1, 2, 6, 1, 10, 6, 2, 1, 1, 1, 6, 10, 2, 1, 6, 1, 6, 1, 2, 6, 6, 2, 10, 10, 1, 2, 2, 10, 6, 2, 6, 6, 2, 1, 1, 6, 1, 2, 10, 2, 1, 6, 5, 6, 10, 6, 1, 2, 10, 1, 6, 1, 10, 6, 10, 2, 6, 2, 10, 10, 10, 10, 6, 10, 10, 1, 6, 10, 6, 2, 10, 6, 2, 10, 2, 2, 6, 6, 10, 6, 10, 10, 10, 1, 10, 2, 6, 10, 6, 2, 1, 1, 2, 10, 2, 6, 2, 10, 10, 1, 2, 6, 9, 10, 10, 2, 2, 2, 10, 6, 6, 2, 1, 10, 6, 1, 10, 10, 1, 10, 1, 10, 1, 1, 1, 1, 10, 2, 10, 1, 9, 2, 1, 1, 1, 2, 2, 2, 2, 6, 1, 2, 2, 10, 1, 6, 10, 6, 0, 10, 2, 2, 1, 6, 10, 1, 2, 10, 1, 6, 2, 6, 4, 2, 10, 1, 10, 1, 6, 6, 10, 2, 1, 6, 1, 10, 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2, 6, 10, 6, 10, 6, 6, 6, 6, 10, 10, 6, 2, 2, 10, 6, 1, 2, 10, 1, 6, 2, 2, 2, 10, 6, 2, 1, 2, 2, 6, 2, 1, 10, 1, 2, 10, 1, 1, 2, 2, 10, 6, 2, 6, 1, 2, 6, 1, 10, 6, 2, 6, 10, 10, 6, 6, 6, 2, 6, 2, 10, 1, 1, 1, 2, 10, 2, 10, 10, 6, 6, 2, 10, 6, 6, 6, 0, 5, 1, 10, 6, 4, 10, 2, 10, 6, 2, 2, 10, 2, 1, 1, 2, 1, 6, 2, 1, 10, 6, 6, 1, 2, 2, 10, 2, 6, 1, 1, 10, 4, 10, 10, 1, 1, 2, 10, 2, 10, 10, 2, 1, 1, 2, 6, 10, 10, 0, 6, 2, 1, 2, 1, 2, 10, 10, 2, 2, 1, 1, 10, 2, 2, 1, 10, 6, 2, 2, 10, 1, 2, 6, 2, 2, 1, 10, 2, 10, 0, 10, 2, 1, 5, 10, 2, 10, 2, 1, 1, 1, 2, 10, 6, 2, 6, 10, 6, 6, 1, 2, 6, 4, 2, 2, 10, 6, 10, 10, 6, 2, 6, 1, 2, 6, 10, 6, 2, 10, 4, 1, 2, 6, 10, 2, 6, 30, 2, 10, 2, 6, 6, 1, 2, 10, 1, 2, 6, 1, 2, 2, 6, 10, 10, 10, 10, 6, 1, 1, 1, 6, 2, 6, 0, 1, 6, 6, 6, 10, 6, 1, 10, 1, 2, 9, 2, 10, 2, 1, 10, 10, 10, 1, 2, 1, 2, 2, 10, 4, 10, 2, 10, 6, 10, 6, 5, 10, 10, 6, 1, 6, 6, 2, 2, 10, 2, 1, 2, 10, 1, 10, 1, 1, 6, 6, 6, 10, 6, 2, 0, 10, 6, 1, 10, 6, 1, 6, 2, 1, 10, 2, 10, 1, 2, 10, 1, 1, 2, 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10, 9, 1, 10, 2, 1, 6, 6, 2, 1, 1, 6, 0, 10, 6, 1, 10, 10, 6, 9, 2, 2, 2, 6, 6, 2, 1, 1, 1, 6, 6, 1, 6, 10, 1, 10, 1, 6, 10, 2, 2, 10, 2, 4, 10, 10, 10, 9, 6, 2, 6, 1, 10, 6, 2, 0, 2, 6, 6, 1, 9, 6, 2, 2, 1, 10, 2, 6, 2, 1, 1, 2, 1, 2, 1, 6, 10, 6, 10, 9, 6, 1, 6, 1, 1, 6, 2, 10, 10, 10, 6, 6, 2, 6, 10, 2, 6, 10, 6, 6, 2, 6, 1, 1, 1, 6, 1, 1, 1, 10, 2, 1, 10, 10, 1, 6, 10, 10, 10, 6, 2, 2, 1, 1, 10, 2, 10, 10, 6, 10, 2, 1, 2, 2, 10, 2, 2, 6, 1, 10, 1, 1, 6, 1, 1, 1, 6, 2, 6, 2, 10, 1, 6, 10, 6, 6, 1, 6, 1, 1, 6, 6, 1, 6, 2, 6, 6, 1, 2, 2, 1, 6, 2, 1, 6, 10, 2, 6, 6, 10, 2, 4, 1, 1, 0, 1, 2, 1, 1, 10, 6, 2, 6, 1, 6, 2, 6, 6, 2, 2, 10, 10, 1, 10, 1, 10, 2, 1, 6, 2, 10, 2, 10, 10, 1, 10, 6, 2, 10, 10, 10, 1, 0, 1, 10, 10, 10, 10, 6, 6, 2, 1, 2, 6, 2, 6, 1, 2, 0, 2, 2, 6, 1, 2, 1, 6, 2, 10, 1, 2, 2, 10, 6, 2, 10, 10, 10, 2, 10, 10, 6, 6, 10, 6, 6, 1, 2, 2, 2, 10, 2, 6, 6, 2, 1, 1, 10, 2, 6, 10, 1, 2, 4, 2, 1, 10, 1, 1, 10, 1, 6, 6, 1, 2, 4, 2, 10, 2, 6, 2, 1, 2, 2, 1, 10, 6, 2, 6, 2, 1, 6, 6, 10, 1, 1, 2, 6, 6, 2, 10, 1, 1, 10, 10, 2, 2, 2, 10, 6, 6, 2, 0, 2, 4, 2, 1, 10, 10, 1, 2, 6, 2, 1, 2, 2, 1, 6, 6, 10, 2, 2, 2, 6, 10, 2, 2, 1, 1, 6, 10, 10, 6, 2, 9, 6, 1, 4, 10, 6, 6, 10, 2, 6, 2, 2, 2, 10, 6, 10, 2, 6, 6, 6, 1, 10, 1, 10, 6, 6, 2, 2, 2, 10, 10, 2, 1, 10, 6, 10, 6, 1, 10, 1, 1, 6, 6, 2, 10, 6, 10, 6, 2, 1, 6, 10, 6, 6, 6, 9, 6, 2, 1, 1, 6, 6, 6, 2, 6, 10, 2, 1, 1, 2, 2, 2, 1, 6, 1, 1, 2, 2, 1, 2, 10, 6, 10, 0, 6, 10, 2, 10, 6, 6, 2, 6, 2, 2, 1, 1, 1, 2, 10, 6, 2, 2, 1, 10, 1, 9, 2, 6, 1, 6, 10, 1, 6, 1, 10, 1, 2, 0, 6, 1, 6, 10, 6, 2, 6, 1, 2, 6, 10, 6, 9, 0, 2, 1, 10, 2, 1, 1, 10, 10, 10, 10, 1, 6, 10, 6, 1, 2, 10, 1, 1, 1, 2, 1, 2, 1, 6, 2, 10, 2, 2, 10, 6, 10, 2, 1, 6, 6, 10, 10, 1, 10, 10, 2, 1, 1, 6, 1, 6, 2, 6, 6, 1, 6, 2, 2, 1, 1, 2, 10, 6, 2, 6, 2, 10, 10, 10, 6, 2, 6, 10, 2, 2, 2, 1, 10, 6, 2, 6, 1, 10, 1, 6, 10, 1, 6, 6, 10, 6, 1, 10, 4, 1, 6, 1, 6, 1, 6, 1, 10, 10, 10, 2, 2, 1, 1, 6, 6, 2, 1, 1, 10, 6, 10, 1, 1, 1, 6, 2, 6, 6, 6, 1, 6, 2, 1, 10, 2, 2, 6, 1, 6, 1, 2, 10, 6, 10, 1, 2, 1, 1, 6, 6, 6, 10, 10, 2, 10, 5, 10, 6, 2, 1, 10, 6, 1, 6, 1, 10, 2, 2, 10, 2, 10, 6, 10, 10, 2, 10, 2, 10, 1, 6, 2, 2, 1, 1, 5, 2, 6, 6, 10, 1, 1, 1, 10, 6, 1, 10, 10, 10, 1, 6, 2, 10, 6, 2, 10, 10, 1, 10, 2, 1, 1, 2, 10, 2, 2, 1, 2, 10, 6, 1, 6, 6, 6, 2, 6, 1, 2, 10, 6, 1, 10, 2, 6, 10, 6, 6, 6, 6, 10, 1, 2, 1, 10, 1, 6, 10, 2, 6, 10, 6, 1, 6, 6, 10, 2, 6, 6, 6, 1, 10, 1, 6, 2, 6, 2, 2, 2, 1, 10, 6, 10, 1, 2, 6, 2, 2, 2, 6, 2, 2, 2, 1, 2, 2, 6, 6, 1, 10, 6, 2, 10, 1, 1, 6, 6, 10, 10, 1, 1, 1, 10, 2, 2, 6, 10, 10, 10, 1, 1, 6, 1, 2, 6, 2, 1, 2, 10, 10, 1, 0, 10, 2, 1, 10, 1, 10, 2, 1, 1, 1, 1, 1, 6, 5, 1, 10, 6, 10, 9, 10, 6, 10, 2, 10, 10, 10, 2, 9, 1, 6, 2, 6, 6, 6, 10, 1, 10, 6, 2, 6, 6, 2, 10, 6, 6, 10, 2, 1, 6, 2, 1, 10, 1, 10, 10, 6, 1, 10, 10, 2, 1, 1, 2, 2, 1, 6, 2, 10, 10, 2, 1, 6, 1, 6, 1, 6, 1, 1, 2, 2, 1, 6, 2, 6, 6, 10, 1, 10, 2, 10, 1, 1, 10, 2, 1, 2, 1, 1, 2, 10, 10, 1, 10, 1, 1, 2, 6, 6, 1, 10, 2, 2, 6, 6, 2, 6, 6, 10, 1, 6, 1, 6, 6, 2, 2, 6, 6, 2, 6, 10, 2, 2, 10, 10, 2, 6, 10, 1, 6, 10, 6, 1, 2, 6, 2, 10, 10, 6, 10, 1, 2, 2, 6, 10, 1, 6, 6, 10, 2, 6, 6, 10, 10, 2, 10, 6, 10, 1, 1, 10, 2, 10, 2, 6, 10, 10, 1, 6, 6, 10, 1, 10, 1, 2, 10, 1, 1, 2, 6, 10, 6, 10, 6, 1, 6, 6, 10, 2, 6, 2, 10, 2, 1, 6, 6, 10, 6, 6, 10, 2, 1, 10, 1, 2, 10, 10, 2, 10, 6, 10, 10, 1, 6, 6, 6, 5, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 6, 10, 1, 2, 6, 10, 10, 2, 1, 1, 2, 2, 2, 2, 2, 6, 6, 1, 2, 1, 1, 2, 10, 10, 1, 2, 2, 6, 2, 6, 2, 2, 10, 10, 2, 2, 2, 2, 6, 5, 1, 6, 10, 10, 1, 10, 6, 1, 1, 9, 10, 6, 10, 1, 6, 10, 10, 6, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 6, 10, 6, 1, 10, 2, 2, 1, 6, 6, 6, 10, 6, 10, 10, 1, 6, 10, 2, 6, 6, 1, 1, 10, 10, 1, 6, 10, 10, 10, 10, 1, 1, 6, 10, 6, 6, 10, 2, 1, 1, 6, 10, 6, 10, 6, 2, 2, 10, 2, 2, 2, 2, 6, 2, 1, 1, 1, 6, 6, 10, 2, 2, 2, 10, 1, 2, 2, 10, 1, 2, 10, 10, 1, 6, 10, 10, 1, 6, 10, 9, 10, 6, 9, 6, 10, 1, 1, 6, 10, 2, 1, 10, 1, 10, 10, 2, 6, 2, 1, 2, 2, 1, 2, 2, 2, 2, 6, 10, 1, 6, 6, 6, 1, 10, 2, 1, 10, 10, 2, 1, 2, 2, 1, 2, 6, 10, 2, 6, 1, 6, 1, 10, 2, 1, 1, 1, 6, 1, 1, 2, 6, 1, 2, 6, 10, 1, 2, 10, 10, 1, 6, 1, 10, 10, 6, 2, 2, 1, 10, 10, 2, 6, 10, 1, 6, 10, 5, 5, 10, 6, 2, 0, 1, 2, 10, 2, 10, 10, 10, 6, 1, 5, 10, 6, 10, 6, 6, 1, 1, 10, 1, 1, 1, 1, 6, 6, 1, 2, 10, 2, 9, 1, 2, 2, 1, 10, 1, 1, 6, 0, 2, 10, 1, 10, 1, 6, 10, 10, 10, 1, 6, 10, 0, 1, 10, 2, 1, 2, 10, 10, 6, 6, 0, 10, 1, 6, 2, 2, 10, 1, 1, 6, 2, 6, 6, 1, 10, 10, 1, 2, 2, 10, 10, 10, 1, 2, 6, 10, 10, 10, 6, 6, 6, 1, 10, 0, 1, 2, 10, 10, 10, 2, 10, 2, 0, 6, 6, 10, 6, 6, 1, 1, 10, 1, 1, 1, 10, 2, 6, 9, 10, 1, 10, 1, 6, 2, 6, 6, 6, 0, 6, 10, 1, 2, 1, 1, 6, 6, 10, 6, 6, 1, 6, 6, 10, 1, 2, 2, 10, 10, 6, 6, 10, 10, 1, 10, 1, 6, 1, 2, 6, 6, 2, 2, 6, 6, 2, 10, 6, 1, 1, 6, 6, 6, 10, 1, 2, 6, 1, 10, 2, 10, 1, 1, 10, 1, 2, 2, 2, 10, 10, 1, 1, 1, 2, 2, 1, 4, 10, 6, 2, 10, 1, 2, 1, 4, 6, 1, 10, 0, 1, 2, 2, 6, 2, 2, 6, 2, 2, 2, 1, 2, 1, 2, 10, 6, 6, 1, 6, 2, 2, 6, 6, 6, 1, 1, 6, 1, 2, 1, 1, 1, 1, 1, 6, 2, 10, 2, 6, 1, 6, 6, 6, 6, 1, 1, 1, 10, 1, 1, 1, 2, 10, 4, 2, 1, 6, 1, 10, 6, 10, 1, 10, 10, 1, 6, 10, 10, 1, 6, 2, 1, 4, 6, 1, 6, 1, 10, 2, 10, 2, 6, 10, 1, 6, 2, 1, 2, 2, 10, 1, 10, 1, 1, 6, 10, 10, 10, 1, 10, 1, 2, 2, 2, 1, 10, 2, 1, 6, 1, 10, 1, 2, 6, 1, 10, 9, 10, 1, 6, 1, 1, 1, 1, 2, 2, 10, 10, 6, 4, 1, 6, 2, 1, 5, 2, 6, 5, 10, 2, 1, 6, 10, 6, 1, 6, 2, 2, 6, 2, 1, 6, 10, 2, 1, 10, 1, 2, 1, 10, 10, 2, 10, 6, 10, 1, 6, 6, 10, 10, 2, 1, 5, 10, 1, 2, 6, 2, 2, 1, 6, 2, 2, 6, 2, 10, 10, 10, 2, 6, 1, 6, 2, 6, 6, 2, 6, 10, 10, 10, 5, 6, 1, 10, 10, 10, 6, 2, 6, 10, 2, 1, 2, 1, 1, 2, 2, 6, 6, 6, 5, 9, 2, 10, 6, 2, 2, 6, 6, 6, 2, 10, 2, 9, 1, 6, 10, 2, 10, 6, 2, 10, 10, 10, 1, 10, 1, 1, 10, 2, 10, 10, 10, 2, 10, 1, 10, 2, 2, 10, 2, 2, 1, 10, 6, 6, 1, 2, 2, 5, 6, 10, 1, 6, 2, 2, 1, 2, 10, 1, 6, 6, 10, 1, 2, 1, 6, 10, 2, 2, 1, 1, 2, 1, 10, 1, 2, 2, 1, 10, 10, 2, 1, 6, 10, 6, 6, 10, 2, 2, 1, 10, 6, 6, 2, 1, 1, 10, 6, 1, 10, 10, 1, 6, 10, 10, 6, 10, 10, 6, 1, 1, 2, 1, 1, 1, 10, 6, 10, 6, 9, 2, 10, 1, 2, 1, 2, 1, 4, 1, 2, 10, 6, 2, 10, 2, 6, 10, 2, 10, 1, 6, 2, 5, 2, 1, 10, 2, 10, 6, 1, 10, 2, 10, 6, 1, 10, 1, 2, 2, 2, 10, 10, 6, 2, 6, 1, 2, 1, 10, 6, 1, 6, 10, 6, 6, 1, 2, 6, 10, 1, 6, 10, 10, 2, 2, 10, 2, 10, 2, 10, 1, 1, 1, 5, 10, 10, 1, 6, 1, 6, 1, 10, 6, 2, 2, 10, 6, 6, 2, 6, 6, 6, 1, 1, 10, 10, 6, 6, 2, 2, 6, 1, 10, 10, 2, 10, 6, 6, 2, 6, 6, 6, 1, 2, 10, 2, 6, 6, 10, 10, 1, 1, 2, 10, 10, 2, 1, 2, 6, 10, 10, 10, 2, 10, 6, 1, 10, 1, 2, 2, 2, 2, 1, 1, 2, 1, 10, 2, 10, 2, 10, 6, 1, 2, 1, 1, 10, 10, 2, 2, 10, 10, 10, 1, 2, 10, 10, 6, 10, 6, 2, 1, 2, 10, 2, 10, 2, 1, 1, 6, 6, 2, 10, 6, 6, 10, 10, 1, 2, 10, 10, 6, 6, 10, 10, 2, 2, 2, 6, 2, 2, 6, 2, 1, 1, 1, 1, 10, 1, 6, 6, 6, 10, 10, 6, 2, 2, 1, 1, 2, 1, 10, 2, 10, 10, 9, 2, 1, 6, 10, 10, 2, 6, 6, 2, 2, 1, 1, 2, 2, 10, 2, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 10, 2, 6, 2, 6, 6, 10, 1, 10, 6, 1, 1, 2, 10, 2, 2, 1, 2, 6, 1, 6, 1, 2, 10, 1, 2, 6, 10, 1, 1, 6, 6, 6, 2, 10, 2, 6, 6, 1, 1, 5, 10, 10, 2, 1, 10, 1, 1, 2, 10, 6, 2, 1, 1, 2, 2, 10, 6, 2, 1, 6, 1, 1, 1, 6, 1, 2, 9, 1, 6, 2, 2, 10, 6, 6, 6, 2, 1, 6, 10, 1, 0, 10, 1, 2, 1, 6, 2, 6, 1, 10, 6, 1, 2, 10, 1, 10, 6, 6, 6, 1, 10, 2, 2, 1, 10, 2, 6, 10, 10, 10, 2, 1, 10, 2, 1, 10, 9, 2, 6, 2, 1, 6, 1, 6, 10, 2, 10, 10, 10, 2, 1, 6, 10, 6, 2, 1, 10, 10, 1, 1, 2, 6, 6, 6, 2, 1, 2, 10, 2, 10, 1, 1, 2, 2, 1, 6, 10, 10, 6, 10, 10, 10, 10, 10, 1, 1, 6, 2, 10, 2, 6, 6, 10, 10, 1, 1, 1, 2, 10, 6, 9, 1, 2, 1, 2, 6, 1, 10, 6, 9, 6, 6, 1, 10, 1, 2, 2, 10, 2, 10, 6, 6, 6, 10, 10, 2, 6, 1, 6, 1, 2, 1, 10, 2, 0, 6, 2, 6, 10, 4, 0, 10, 2, 6, 10, 6, 1, 2, 10, 1, 6, 1, 1, 10, 1, 6, 10, 10, 6, 1, 6, 1, 2, 1, 2, 1, 10, 2, 10, 6, 1, 10, 2, 6, 6, 1, 10, 6, 2, 2, 0, 6, 6, 1, 6, 10, 10, 1, 2, 1, 10, 6, 2, 6, 2, 6, 6, 6, 10, 2, 10, 2, 1, 10, 6, 9, 1, 10, 1, 2, 1, 10, 1, 2, 1, 6, 2, 6, 2, 1, 1, 0, 10, 1, 2, 1, 1, 10, 1, 10, 1, 2, 1, 10, 10, 1, 1, 2, 1, 6, 2, 6, 6, 1, 6, 6, 6, 6, 2, 6, 10, 6, 1, 10, 2, 1, 6, 2, 1, 1, 2, 2, 10, 1, 10, 1, 6, 1, 10, 10, 10, 2, 2, 6, 1, 10, 10, 1, 6, 2, 10, 2, 10, 10, 2, 10, 1, 2, 6, 1, 9, 2, 1, 2, 1, 5, 2, 6, 5, 10, 6, 10, 10, 6, 10, 10, 1, 10, 10, 2, 10, 6, 1, 6, 1, 10, 6, 2, 10, 10, 2, 2, 1, 6, 1, 6, 6, 10, 1, 2, 1, 2, 1, 2, 10, 2, 10, 10, 2, 1, 6, 1, 2, 2, 2, 1, 10, 1, 2, 6, 6, 4, 6, 1, 10, 2, 6, 2, 6, 10, 1, 2, 6, 10, 6, 10, 1, 2, 1, 5, 0, 1, 2, 10, 2, 1, 2, 10, 1, 6, 1, 10, 10, 2, 10, 6, 2, 2, 10, 6, 6, 2, 1, 1, 10, 1, 10, 10, 10, 2, 2, 6, 2, 6, 6, 1, 10, 6, 2, 10, 1, 1, 2, 1, 1, 10, 2, 10, 10, 1, 2, 10, 2, 10, 2, 6, 10, 1, 10, 5, 2, 10, 1, 10, 1, 2, 1, 1, 1, 1, 2, 1, 1, 6, 10, 2, 1, 10, 1, 10, 1, 6, 6, 2, 6, 10, 2, 1, 2, 6, 2, 10, 2, 1, 2, 6, 2, 10, 6, 1, 2, 10, 6, 2, 2, 10, 2, 10, 10, 6, 2, 1, 2, 1, 6, 1, 6, 10, 10, 1, 6, 6, 10, 6, 10, 2, 6, 1, 1, 1, 2, 2, 6, 10, 6, 10, 2, 1, 6, 6, 10, 9, 5, 1, 1, 6, 6, 10, 10, 1, 1, 6, 1, 10, 9, 2, 10, 1, 1, 2, 6, 2, 10, 2, 2, 2, 0, 2, 6, 2, 6, 2, 9, 6, 10, 10, 1, 10, 6, 10, 6, 2, 1, 2, 1, 10, 1, 6, 6, 2, 10, 2, 1, 10, 6, 10, 1, 6, 1, 2, 2, 1, 6, 2, 1, 10, 10, 6, 10, 2, 6, 1, 6, 2, 2, 1, 5, 1, 2, 2, 1, 1, 10, 1, 10, 10, 6, 1, 6, 10, 1, 6, 6, 1, 2, 2, 1, 2, 9, 10, 6, 2, 1, 6, 2, 6, 10, 10, 10, 1, 1, 1, 4, 2, 6, 1, 1, 1, 6, 6, 2, 2, 6, 6, 6, 6, 1, 1, 6, 2, 6, 10, 2, 1, 10, 1, 6, 10, 6, 10, 1, 6, 10, 2, 6, 2, 5, 6, 2, 4, 10, 1, 10, 6, 2, 6, 6, 2, 10, 2, 10, 2, 10, 10, 2, 10, 6, 1, 1, 1, 10, 10, 6, 60, 2, 1, 2, 10, 6, 2, 1, 1, 10, 1, 6, 1, 6, 2, 1, 7, 2, 2, 1, 6, 10, 1, 9, 10, 6, 2, 1, 10, 1, 2, 10, 1, 10, 6, 10, 5, 1, 10, 2, 0, 2, 1, 6, 6, 6, 2, 2, 10, 1, 10, 2, 2, 6, 1, 2, 6, 2, 6, 6, 1, 1, 2, 2, 10, 6, 6, 6, 2, 2, 2, 2, 10, 1, 6, 6, 2, 1, 10, 2, 6, 6, 1, 10, 2, 2, 6, 2, 10, 2, 2, 2, 2, 4, 10, 6, 1, 6, 10, 10, 6, 10, 2, 1, 1, 1, 10, 6, 1, 1, 2, 1, 10, 2, 10, 10, 6, 6, 10, 10, 6, 6, 1, 1, 6, 2, 2, 6, 10, 1, 2, 6, 2, 10, 1, 2, 2, 1, 6, 10, 1, 10, 1, 1, 1, 2, 10, 6, 1, 1, 1, 10, 10, 1, 0, 10, 2, 2, 6, 2, 2, 6, 10, 1, 6, 6, 1, 6, 4, 1, 6, 2, 10, 6, 10, 6, 2, 2, 10, 10, 10, 2, 6, 10, 10, 2, 10, 6, 1, 1, 6, 6, 2, 10, 1, 6, 2, 2, 1, 10, 10, 6, 2, 2, 9, 10, 10, 4, 6, 10, 1, 10, 1, 10, 10, 10, 10, 2, 2, 10, 0, 2, 6, 6, 10, 2, 1, 1, 10, 2, 1, 1, 1, 1, 10, 6, 1, 0, 2, 2, 10, 2, 2, 2, 2, 2, 2, 2, 6, 1, 6, 1, 1, 6, 6, 2, 10, 10, 2, 2, 9, 2, 4, 2, 1, 1, 2, 2, 2, 1, 10, 10, 6, 10, 2, 10, 1, 6, 6, 2, 2, 10, 2, 4, 2, 2, 1, 10, 1, 2, 2, 6, 5, 6, 6, 2, 10, 6, 2, 1, 1, 1, 1, 1, 2, 2, 9, 1, 1, 1, 2, 2, 10, 1, 6, 6, 60, 10, 6, 10, 10, 6, 2, 1, 10, 10, 10, 6, 10, 2, 2, 10, 10, 1, 6, 10, 10, 10, 2, 1, 10, 1, 10, 6, 6, 2, 1, 10, 2, 5, 2, 6, 10, 10, 2, 2, 1, 10, 1, 2, 10, 2, 1, 1, 1, 10, 2, 1, 2, 2, 1, 10, 6, 2, 1, 1, 6, 10, 10, 10, 2, 10, 2, 1, 2, 1, 1, 10, 2, 10, 2, 2, 2, 10, 6, 10, 10, 10, 1, 1, 2, 2, 6, 2, 10, 6, 4, 10, 6, 6, 2, 2, 6, 6, 6, 5, 10, 10, 2, 10, 6, 1, 2, 6, 1, 2, 10, 2, 2, 9, 2, 2, 10, 10, 1, 10, 10, 1, 1, 10, 9, 10, 2, 6, 2, 6, 10, 6, 1, 6, 1, 2, 2, 6, 10, 1, 2, 2, 1, 6, 1, 10, 10, 1, 6, 10, 10, 2, 2, 2, 2, 10, 2, 2, 6, 1, 1, 2, 6, 1, 10, 10, 10, 2, 1, 6, 6, 1, 1, 1, 1, 1, 1, 1, 2, 1, 10, 1, 10, 10, 1, 6, 2, 2, 2, 9, 10, 1, 1, 10, 1, 6, 1, 10, 10, 6, 1, 2, 1, 1, 6, 2, 6, 2, 2, 6, 10, 6, 10, 6, 1, 2, 2, 0, 10, 2, 10, 1, 1, 10, 10, 1, 1, 6, 6, 6, 2, 6, 2, 1, 1, 1, 5, 10, 1, 10, 6, 1, 2, 6, 10, 6, 2, 1, 6, 10, 10, 5, 2, 2, 2, 6, 2, 1, 2, 2, 6, 2, 6, 6, 10, 1, 2, 10, 2, 2, 6, 2, 2, 10, 2, 6, 5, 10, 1, 2, 10, 2, 2, 2, 10, 6, 1, 6, 6, 2, 2, 2, 1, 2, 2, 2, 6, 1, 1, 2, 6, 6, 6, 6, 10, 1, 2, 1, 10, 2, 1, 6, 2, 6, 2, 10, 1, 6, 10, 10, 6, 10, 1, 6, 2, 6, 5, 1, 1, 2, 2, 1, 2, 9, 6, 2, 10, 10, 2, 6, 10, 1, 6, 10, 6, 10, 6, 2, 10, 2, 6, 10, 2, 2, 6, 6, 6, 10, 1, 2, 2, 10, 1, 1, 2, 6, 2, 10, 1, 2, 6, 2, 1, 6, 6, 1, 2, 6, 2, 2, 6, 2, 10, 6, 1, 10, 10, 2, 10, 2, 10, 6, 6, 1, 10, 1, 6, 2, 10, 5, 10, 5, 1, 1, 1, 10, 10, 1, 1, 2, 6, 2, 6, 1, 2, 2, 10, 6, 10, 1, 10, 6, 2, 2, 1, 10, 1, 1, 1, 2, 10, 10, 1, 10, 10, 2, 10, 1, 6, 2, 6, 1, 2, 2, 6, 2, 10, 2, 10, 2, 1, 10, 2, 10, 10, 1, 1, 1, 2, 6, 1, 2, 10, 1, 6, 2, 2, 6, 2, 6, 1, 2, 6, 6, 2, 1, 1, 10, 2, 10, 2, 6, 10, 10, 10, 2, 6, 10, 2, 2, 2, 10, 2, 9, 1, 2, 2, 2, 10, 1, 10, 10, 6, 5, 2, 2, 1, 10, 1, 2, 1, 6, 10, 1, 10, 6, 6, 2, 1, 6, 6, 2, 1, 10, 2, 1, 1, 2, 2, 6, 5, 5, 1, 10, 6, 6, 5, 6, 10, 2, 10, 6, 6, 2, 6, 6, 2, 6, 6, 6, 1, 10, 10, 1, 2, 6, 10, 1, 10, 10, 1, 1, 10, 6, 6, 2, 2, 2, 10, 10, 10, 10, 2, 10, 6, 2, 6, 6, 1, 6, 2, 6, 4, 6, 6, 6, 1, 6, 1, 10, 1, 6, 10, 10, 2, 6, 10, 1, 0, 1, 10, 1, 2, 6, 1, 1, 1, 1, 6, 2, 5, 6, 2, 10, 1, 1, 6, 2, 6, 6, 10, 6, 1, 10, 2, 2, 4, 6, 6, 1, 2, 6, 10, 6, 10, 10, 1, 1, 10, 10, 6, 1, 6, 10, 10, 6, 10, 2, 6, 6, 2, 2, 10, 10, 10, 6, 6, 6, 6, 10, 2, 2, 6, 10, 2, 2, 2, 2, 2, 1, 10, 2, 6, 10, 2, 2, 1, 2, 6, 10, 10, 1, 10, 1, 1, 6, 6, 1, 10, 10, 5, 1, 2, 10, 6, 6, 2, 6, 2, 1, 2, 10, 2, 6, 1, 6, 10, 2, 10, 10, 2, 2, 2, 1, 6, 2, 2, 6, 10, 6, 6, 10, 6, 6, 2, 7, 10, 10, 2, 10, 6, 10, 10, 1, 1, 4, 1, 10, 10, 1, 1, 1, 10, 10, 10, 6, 2, 1, 2, 1, 1, 2, 6, 2, 10, 2, 10, 10, 2, 6, 10, 1, 10, 2, 2, 6, 10, 6, 1, 2, 1, 10, 6, 10, 10, 6, 2, 6, 2, 1, 1, 2, 10, 1, 1, 6, 2, 1, 6, 6, 2, 2, 1, 1, 2, 6, 6, 10, 10, 6, 6, 10, 10, 6, 10, 4, 6, 1, 2, 6, 1, 10, 6, 0, 6, 6, 10, 2, 2, 1, 6, 10, 6, 1, 2, 6, 10, 6, 10, 2, 2, 10, 10, 6, 6, 2, 2, 1, 6, 1, 2, 1, 6, 10, 2, 2, 6, 2, 10, 2, 10, 2, 1, 1, 10, 10, 0, 2, 6, 2, 1, 1, 6, 10, 10, 10, 2, 6, 10, 6, 10, 1, 1, 1, 1, 2, 6, 6, 1, 2, 6, 10, 6, 1, 10, 6, 6, 2, 10, 6, 6, 6, 1, 2, 2, 10, 6, 10, 2, 1, 2, 2, 1, 9, 2, 1, 10, 10, 6, 10, 2, 1, 6, 10, 10, 10, 1, 2, 2, 6, 1, 6, 1, 1, 6, 6, 2, 6, 6, 10, 6, 6, 2, 6, 6, 1, 10, 10, 2, 6, 2, 10, 10, 6, 10, 10, 6, 2, 6, 2, 4, 2, 2, 1, 6, 2, 10, 6, 10, 10, 6, 2, 6, 10, 10, 10, 2, 6, 6, 5, 6, 2, 10, 2, 6, 2, 1, 1, 2, 10, 10, 5, 6, 1, 10, 1, 1, 2, 2, 1, 10, 10, 6, 2, 2, 10, 2, 10, 2, 10, 10, 1, 10, 2, 2, 10, 6, 1, 10, 6, 6, 6, 0, 6, 10, 10, 6, 1, 10, 2, 4, 6, 6, 2, 1, 6, 6, 2, 6, 6, 2, 10, 10, 1, 10, 10, 1, 2, 6, 6, 2, 2, 10, 10, 1, 6, 2, 10, 2, 10, 10, 1, 1, 2, 2, 2, 1, 10, 6, 10, 6, 1, 1, 2, 2, 10, 2, 1, 6, 6, 10, 2, 10, 2, 10, 1, 1, 10, 10, 2, 2, 1, 10, 6, 6, 6, 2, 2, 6, 10, 10, 6, 1, 6, 6, 1, 1, 1, 2, 2, 1, 1, 2, 1, 6, 1, 10, 2, 2, 1, 6, 6, 1, 10, 2, 2, 10, 1, 10, 1, 6, 6, 6, 2, 6, 1, 6, 1, 10, 1, 10, 1, 10, 6, 6, 9, 10, 10, 2, 1, 6, 6, 4, 2, 1, 2, 6, 6, 6, 6, 6, 10, 10, 6, 6, 0, 6, 6, 10, 10, 2, 6, 10, 10, 10, 1, 2, 1, 6, 10, 1, 2, 6, 6, 2, 1, 1, 10, 6, 9, 2, 6, 2, 6, 2, 1, 2, 1, 10, 10, 10, 10, 6, 6, 2, 1, 1, 1, 6, 1, 6, 1, 10, 10, 10, 6, 6, 2, 2, 2, 6, 2, 5, 1, 1, 4, 10, 2, 1, 10, 10, 9, 2, 2, 2, 1, 1, 2, 1, 1, 2, 10, 4, 6, 6, 10, 2, 10, 10, 1, 10, 6, 10, 10, 2, 1, 2, 6, 10, 10, 2, 2, 1, 2, 2, 6, 1, 10, 10, 10, 6, 6, 10, 10, 10, 6, 2, 10, 6, 10, 6, 6, 2, 2, 10, 6, 0, 2, 6, 1, 2, 1, 2, 2, 2, 2, 10, 1, 2, 4, 0, 10, 2, 2, 6, 2, 10, 1, 2, 10, 10, 2, 2, 10, 6, 2, 1, 2, 2, 6, 1, 2, 1, 2, 6, 2, 1, 2, 2, 2, 10, 10, 1, 1, 1, 2, 6, 2, 2, 6, 1, 2, 10, 10, 2, 10, 1, 2, 10, 6, 10, 2, 6, 2, 1, 10, 1, 2, 6, 10, 2, 10, 6, 10, 6, 2, 2, 6, 2, 10, 2, 10, 10, 6, 2, 10, 6, 10, 2, 6, 10, 2, 10, 2, 10, 10, 2, 2, 10, 1, 6, 2, 6, 4, 1, 2, 6, 2, 1, 6, 2, 6, 2, 6, 6, 6, 1, 10, 2, 1, 2, 1, 6, 6, 4, 10, 6, 2, 1, 2, 6, 1, 4, 10, 1, 2, 2, 1, 10, 2, 1, 1, 2, 2, 6, 10, 10, 2, 1, 2, 1, 10, 1, 1, 10, 10, 1, 1, 6, 1, 6, 1, 6, 1, 2, 1, 6, 2, 6, 1, 6, 1, 10, 6, 6, 6, 10, 2, 6, 10, 1, 2, 1, 1, 1, 1, 2, 10, 6, 10, 2, 1, 6, 6, 6, 2, 1, 10, 1, 6, 2, 1, 10, 6, 6, 6, 10, 2, 4, 10, 2, 10, 6, 10, 2, 2, 6, 1, 1, 1, 6, 2, 6, 6, 1, 1, 6, 1, 1, 9, 10, 2, 2, 1, 5, 2, 6, 1, 2, 10, 6, 10, 10, 6, 6, 6, 2, 6, 2, 1, 2, 1, 1, 1, 2, 10, 1, 1, 1, 2, 2, 2, 2, 9, 6, 1, 10, 2, 10, 2, 10, 10, 6, 1, 2, 4, 1, 1, 4, 6, 6, 10, 2, 2, 2, 2, 1, 1, 1, 4, 1, 1, 10, 2, 10, 1, 1, 1, 1, 10, 10, 1, 1, 2, 2, 6, 6, 10, 2, 1, 10, 4, 2, 6, 1, 2, 2, 1, 10, 2, 2, 1, 6, 10, 2, 2, 2, 1, 2, 2, 1, 1, 1, 10, 0, 2, 1, 6, 6, 2, 9, 6, 1, 6, 6, 2, 6, 6, 9, 1, 2, 10, 2, 6, 10, 2, 2, 6, 6, 10, 10, 10, 6, 10, 2, 6, 6, 1, 6, 2, 2, 10, 2, 6, 6, 2, 10, 1, 6, 1, 10, 2, 6, 10, 10, 6, 2, 6, 2, 1, 2, 1, 2, 4, 1, 2, 10, 6, 6, 6, 1, 2, 1, 1, 10, 10, 2, 6, 2, 6, 2, 10, 1, 1, 10, 6, 6, 6, 4, 6, 1, 2, 1, 2, 2, 2, 6, 10, 10, 10, 10, 6, 10, 1, 10, 6, 2, 2, 2, 1, 1, 2, 2, 6, 2, 6, 2, 2, 2, 10, 1, 10, 6, 2, 2, 10, 10, 6, 1, 1, 6, 10, 10, 1, 10, 2, 10, 6, 1, 6, 6, 2, 2, 10, 10, 10, 10, 6, 1, 10, 6, 1, 2, 1, 1, 1, 10, 4, 1, 10, 1, 1, 1, 2, 1, 10, 6, 1, 6, 1, 6, 10, 1, 1, 1, 6, 10, 1, 2, 1, 6, 1, 10, 10, 0, 6, 6, 2, 1, 6, 1, 10, 9, 2, 6, 1, 2, 2, 6, 6, 2, 2, 10, 1, 10, 2, 6, 10, 2, 10, 10, 2, 1, 1, 6, 10, 10, 10, 1, 6, 10, 10, 2, 10, 6, 6, 10, 1, 2, 2, 10, 2, 6, 6, 10, 6, 6, 6, 1, 2, 1, 6, 2, 9, 1, 2, 1, 2, 6, 6, 6, 10, 10, 1, 10, 2, 2, 10, 2, 6, 0, 10, 10, 2, 9, 1, 1, 10, 2, 10, 2, 2, 6, 2, 6, 10, 10, 2, 6, 2, 6, 2, 10, 1, 1, 10, 1, 6, 1, 2, 10, 1, 6, 6, 10, 1, 2, 10, 1, 1, 2, 6, 6, 6, 2, 10, 1, 10, 10, 6, 1, 10, 2, 6, 10, 2, 6, 10, 1, 1, 1, 6, 10, 9, 0, 6, 6, 2, 9, 10, 0, 10, 1, 1, 10, 1, 6, 1, 1, 1, 2, 1, 10, 1, 10, 2, 1, 1, 10, 2, 2, 10, 10, 1, 10, 0, 6, 6, 2, 6, 10, 6, 2, 2, 10, 6, 1, 2, 2, 1, 6, 10, 10, 2, 2, 6, 2, 4, 1, 2, 1, 1, 10, 2, 10, 10, 6, 2, 6, 6, 10, 10, 10, 6, 1, 6, 10, 1, 6, 2, 10, 10, 6, 10, 6, 2, 2, 2, 10, 10, 2, 10, 10, 1, 6, 6, 10, 6, 6, 1, 10, 2, 2, 9, 1, 10, 6, 6, 10, 6, 2, 2, 6, 10, 6, 6, 10, 6, 6, 1, 1, 1, 1, 6, 10, 1, 1, 6, 2, 1, 10, 6, 6, 2, 2, 2, 0, 1, 2, 2, 10, 6, 2, 2, 10, 2, 6, 10, 6, 1, 6, 2, 6, 2, 1, 10, 1, 2, 6, 10, 2, 2, 2, 0, 6, 10, 6, 1, 4, 10, 10, 10, 1, 1, 2, 2, 2, 10, 6, 10, 10, 6, 6, 1, 10, 10, 1, 2, 6, 1, 2, 2, 10, 10, 10, 6, 1, 10, 2, 6, 10, 6, 10, 6, 2, 1, 2, 1, 6, 10, 10, 1, 2, 10, 0, 10, 6, 10, 1, 6, 1, 1, 1, 6, 1, 10, 10, 10, 6, 2, 10, 1, 10, 10, 6, 2, 10, 5, 1, 6, 10, 10, 2, 10, 2, 2, 1, 6, 1, 6, 6, 1, 2, 10, 2, 10, 10, 10, 10, 6, 6, 10, 6, 1, 10, 1, 10, 6, 0, 6, 1, 10, 10, 10, 10, 10, 10, 6, 10, 2, 10, 10, 10, 2, 1, 2, 2, 1, 1, 6, 2, 10, 2, 6, 2, 2, 10, 10, 2, 6, 1, 2, 6, 6, 1, 6, 2, 1, 6, 1, 1, 10, 2, 2, 6, 10, 2, 2, 2, 6, 2, 2, 10, 1, 10, 10, 10, 1, 1, 10, 2, 10, 2, 2, 2, 9, 10, 10, 1, 1, 10, 1, 1, 6, 6, 6, 2, 1, 2, 1, 2, 6, 6, 10, 6, 1, 6, 2, 6, 6, 6, 6, 10, 2, 1, 6, 2, 1, 6, 6, 10, 10, 7, 6, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 6, 10, 4, 2, 6, 2, 2, 1, 1, 6, 6, 6, 6, 6, 1, 10, 2, 10, 10, 6, 6, 6, 6, 2, 1, 1, 10, 10, 6, 6, 10, 6, 6, 10, 1, 2, 10, 10, 10, 2, 1, 10, 1, 6, 2, 1, 1, 6, 10, 2, 1, 10, 10, 6, 6, 10, 2, 6, 2, 10, 5, 2, 1, 6, 6, 1, 1, 2, 6, 1, 2, 2, 6, 6, 2, 2, 10, 1, 2, 2, 6, 1, 6, 6, 1, 2, 6, 6, 1, 6, 10, 1, 10, 1, 6, 1, 6, 1, 6, 10, 2, 6, 6, 1, 10, 0, 6, 2, 1, 10, 6, 1, 6, 10, 1, 1, 6, 10, 6, 10, 1, 2, 2, 10, 10, 2, 1, 2, 6, 1, 2, 1, 10, 1, 2, 10, 6, 10, 6, 1, 6, 10, 10, 6, 10, 10, 1, 2, 2, 1, 10, 6, 6, 6, 10, 2, 10, 10, 6, 10, 1, 6, 1, 1, 5, 2, 6, 10, 2, 1, 10, 2, 6, 10, 6, 2, 1, 1, 10, 1, 2, 6, 60, 6, 1, 2, 1, 6, 1, 10, 1, 6, 1, 1, 10, 1, 10, 6, 6, 10, 10, 10, 1, 10, 6, 2, 10, 10, 1, 10, 1, 6, 6, 10, 1, 2, 10, 1, 2, 2, 2, 1, 4, 1, 2, 6, 2, 6, 10, 10, 1, 1, 10, 2, 2, 6, 2, 6, 10, 1, 6, 1, 2, 1, 6, 2, 6, 10, 10, 1, 6, 2, 10, 10, 1, 6, 10, 1, 2, 1, 2, 2, 1, 10, 10, 1, 6, 10, 10, 6, 10, 10, 10, 1, 6, 1, 1, 10, 2, 10, 2, 10, 1, 6, 6, 1, 2, 6, 6, 1, 10, 10, 2, 6, 1, 2, 6, 6, 2, 6, 10, 10, 1, 6, 10, 1, 6, 2, 1, 6, 1, 6, 2, 1, 6, 6, 1, 1, 1, 1, 0, 6, 2, 10, 2, 2, 2, 2, 2, 2, 1, 2, 6, 6, 10, 2, 2, 2, 2, 10, 6, 6, 10, 6, 10, 6, 2, 1, 6, 10, 1, 10, 2, 10, 2, 1, 10, 6, 1, 10, 6, 2, 6, 2, 6, 1, 1, 1, 10, 2, 1, 6, 6, 1, 1, 10, 6, 1, 1, 1, 2, 2, 10, 10, 10, 1, 6, 2, 10, 10, 10, 6, 10, 1, 10, 6, 10, 10, 6, 6, 2, 2, 6, 2, 1, 1, 10, 1, 2, 10, 0, 1, 2, 2, 2, 1, 2, 10, 1, 6, 10, 2, 2, 6, 6, 6, 1, 1, 1, 6, 2, 10, 6, 10, 2, 10, 2, 1, 10, 6, 1, 1, 1, 6, 10, 2, 6, 10, 2, 10, 1, 6, 6, 1, 6, 2, 1, 1, 6, 2, 40, 5, 10, 2, 10, 1, 10, 2, 2, 1, 1, 2, 2, 2, 1, 10, 2, 2, 1, 6, 10, 6, 1, 2, 1, 6, 2, 6, 6, 10, 1, 6, 1, 1, 10, 2, 1, 10, 1, 6, 6, 10, 6, 2, 1, 9, 10, 6, 0, 2, 6, 10, 6, 6, 2, 6, 1, 6, 1, 6, 10, 6, 6, 10, 6, 10, 10, 1, 10, 6, 6, 6, 1, 2, 1, 10, 6, 1, 10, 2, 2, 2, 10, 2, 2, 10, 2, 10, 2, 6, 6, 6, 6, 10, 1, 10, 10, 1, 2, 2, 1, 2, 6, 6, 6, 6, 2, 1, 6, 2, 2, 10, 6, 6, 10, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 10, 6, 2, 6, 10, 10, 6, 1, 10, 2, 6, 6, 10, 6, 6, 10, 10, 10, 6, 1, 2, 2, 10, 6, 10, 1, 1, 10, 1, 1, 6, 6, 2, 6, 10, 1, 1, 2, 6, 10, 6, 1, 6, 10, 6, 2, 1, 10, 10, 6, 6, 0, 1, 10, 1, 2, 1, 2, 2, 1, 10, 4, 6, 6, 1, 6, 6, 2, 10, 1, 10, 10, 6, 2, 10, 1, 10, 2, 6, 2, 2, 6, 6, 10, 1, 1, 6, 1, 2, 1, 1, 1, 1, 4, 10, 1, 1, 2, 2, 1, 6, 6, 2, 2, 9, 2, 10, 2, 6, 2, 6, 2, 1, 2, 6, 1, 1, 2, 2, 1, 1, 1, 6, 2, 1, 2, 1, 6, 1, 1, 10, 2, 6, 2, 9, 6, 10, 6, 1, 1, 10, 1, 2, 6, 10, 1, 2, 6, 6, 2, 5, 1, 1, 1, 10, 0, 10, 6, 1, 6, 1, 10, 1, 6, 1, 4, 2, 10, 6, 2, 2, 2, 10, 1, 6, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 5, 2, 10, 1, 1, 2, 4, 2, 8, 80, 2, 6, 6, 10, 10, 2, 1, 1, 10, 10, 1, 1, 2, 6, 2, 2, 1, 2, 10, 10, 6, 6, 1, 2, 2, 6, 2, 6, 1, 1, 1, 2, 2, 6, 2, 2, 1, 10, 2, 6, 6, 1, 10, 6, 10, 10, 10, 10, 2, 1, 10, 2, 1, 10, 1, 10, 1, 2, 10, 1, 10, 2, 2, 5, 6, 1, 1, 1, 6, 1, 2, 10, 6, 1, 2, 2, 6, 6, 6, 10, 10, 6, 6, 2, 10, 1, 10, 2, 2, 2, 2, 1, 6, 10, 6, 1, 2, 6, 10, 6, 1, 6, 1, 6, 1, 6, 1, 6, 10, 2, 2, 1, 1, 2, 2, 2, 1, 2, 10, 1, 6, 6, 6, 2, 5, 6, 2, 2, 6, 6, 10, 2, 9, 6, 0, 10, 2, 2, 10, 2, 10, 1, 1, 10, 10, 6, 6, 1, 6, 6, 2, 2, 2, 1, 6, 10, 2, 2, 6, 2, 2, 6, 1, 2, 1, 6, 10, 2, 10, 2, 1, 2, 1, 6, 1, 5, 10, 2, 1, 6, 6, 10, 0, 10, 2, 6, 2, 9, 1, 5, 6, 6, 2, 2, 6, 2, 2, 10, 6, 10, 6, 10, 10, 1, 1, 10, 2, 1, 6, 10, 1, 2, 2, 6, 1, 2, 1, 1, 1, 10, 1, 10, 1, 1, 10, 10, 6, 1, 10, 10, 10, 2, 10, 10, 2, 1, 10, 10, 6, 9, 1, 2, 6, 10, 1, 6, 1, 1, 2, 10, 2, 2, 6, 10, 10, 6, 1, 2, 1, 2, 10, 2, 1, 6, 2, 10, 10, 6, 6, 6, 10, 10, 1, 2, 1, 10, 6, 1, 1, 2, 2, 6, 10, 6, 6, 6, 6, 10, 2, 6, 10, 6, 10, 2, 1, 6, 6, 10, 1, 6, 1, 10, 0, 6, 2, 10, 10, 5, 2, 10, 1, 10, 2, 2, 6, 1, 6, 10, 1, 10, 1, 6, 6, 1, 10, 2, 1, 1, 2, 1, 10, 2, 10, 2, 2, 6, 10, 10, 2, 1, 6, 2, 10, 2, 2, 2, 6, 6, 2, 2, 10, 10, 1, 9, 2, 6, 1, 6, 1, 2, 2, 1, 6, 2, 1, 2, 6, 2, 5, 2, 1, 0, 1, 1, 6, 6, 2, 10, 6, 10, 2, 10, 1, 10, 6, 10, 9, 2, 6, 6, 40, 10, 10, 2, 0, 2, 2, 2, 10, 2, 1, 1, 10, 1, 1, 10, 10, 10, 2, 10, 1, 10, 1, 2, 1, 6, 1, 2, 6, 2, 2, 10, 10, 1, 6, 6, 10, 10, 2, 6, 2, 6, 1, 10, 1, 1, 10, 10, 6, 1, 6, 6, 1, 10, 10, 2, 2, 1, 6, 2, 1, 6, 6, 4, 2, 1, 1, 2, 6, 2, 10, 1, 6, 6, 1, 1, 1, 1, 1, 10, 10, 5, 6, 1, 6, 1, 6, 10, 6, 2, 6, 1, 2, 2, 1, 2, 1, 10, 2, 1, 2, 6, 10, 2, 10, 2, 2, 6, 2, 1, 2, 2, 10, 10, 10, 1, 10, 6, 6, 1, 2, 6, 6, 1, 2, 6, 6, 1, 2, 10, 6, 1, 10, 10, 10, 2, 2, 2, 2, 6, 10, 1, 2, 2, 10, 1, 1, 1, 6, 10, 6, 2, 6, 10, 2, 1, 10, 10, 6, 10, 10, 2, 10, 6, 10, 2, 10, 6, 1, 2, 6, 10, 1, 1, 10, 2, 6, 6, 10, 10, 2, 6, 6, 2, 6, 2, 2, 6, 6, 6, 1, 1, 1, 1, 10, 6, 6, 6, 10, 2, 10, 2, 10, 10, 6, 2, 2, 6, 6, 2, 1, 6, 2, 1, 1, 2, 1, 6, 10, 1, 10, 6, 2, 9, 10, 10, 2, 4, 1, 10, 10, 1, 2, 10, 10, 6, 1, 10, 1, 40, 2, 0, 10, 2, 6, 6, 1, 1, 2, 2, 6, 1, 6, 2, 1, 6, 6, 6, 10, 1, 6, 6, 1, 1, 2, 1, 6, 9, 6, 1, 6, 2, 2, 1, 10, 5, 2, 2, 10, 1, 1, 6, 10, 1, 1, 10, 6, 6, 10, 1, 6, 1, 2, 10, 2, 2, 2, 6, 2, 1, 6, 1, 1, 2, 2, 1, 6, 2, 6, 2, 2, 1, 6, 2, 2, 1, 6, 6, 1, 1, 1, 10, 10, 10, 1, 1, 6, 1, 6, 1, 6, 10, 6, 10, 1, 2, 1, 10, 10, 10, 0, 10, 6, 1, 6, 10, 2, 10, 2, 10, 6, 6, 1, 1, 6, 6, 6, 10, 1, 10, 6, 1, 6, 1, 1, 1, 2, 1, 10, 2, 6, 1, 6, 6, 1, 10, 10, 6, 9, 10, 1, 2, 1, 1, 10, 1, 10, 10, 10, 2, 1, 10, 2, 2, 2, 2, 2, 2, 1, 6, 10, 6, 6, 6, 6, 1, 10, 6, 2, 1, 2, 2, 10, 1, 2, 2, 2, 1, 6, 1, 1, 1, 2, 2, 1, 6, 1, 10, 1, 10, 1, 6, 2, 6, 10, 6, 10, 6, 10, 10, 2, 6, 2, 6, 1, 10, 1, 10, 10, 6, 10, 1, 10, 2, 5, 2, 6, 1, 6, 10, 1, 1, 1, 6, 6, 2, 1, 10, 2, 2, 1, 2, 1, 9, 1, 1, 10, 10, 1, 2, 10, 10, 10, 6, 10, 2, 2, 10, 2, 6, 2, 6, 10, 6, 10, 6, 2, 2, 6, 1, 2, 0, 10, 1, 6, 2, 6, 10, 10, 2, 5, 10, 2, 1, 6, 6, 6, 2, 2, 10, 1, 2, 10, 10, 10, 4, 1, 1, 6, 6, 2, 1, 6, 1, 10, 5, 6, 1, 1, 6, 1, 1, 10, 6, 10, 2, 2, 1, 4, 1, 10, 1, 2, 2, 1, 10, 6, 2, 10, 10, 10, 1, 10, 2, 2, 1, 1, 10, 1, 0, 2, 1, 6, 6, 2, 10, 1, 2, 6, 2, 6, 6, 1, 2, 10, 6, 1, 1, 2, 10, 2, 1, 6, 1, 10, 6, 6, 10, 6, 10, 0, 2, 2, 1, 1, 6, 6, 2, 2, 2, 1, 6, 10, 10, 2, 1, 1, 6, 2, 2, 2, 6, 6, 9, 10, 2, 1, 10, 10, 1, 6, 10, 1, 2, 10, 6, 10, 10, 10, 6, 2, 2, 2, 2, 10, 6, 1, 2, 6, 2, 10, 10, 6, 10, 2, 10, 1, 10, 10, 10, 10, 2, 6, 4, 1, 6, 10, 10, 6, 6, 1, 10, 2, 2, 1, 9, 10, 2, 10, 2, 1, 0, 10, 4, 10, 6, 1, 2, 2, 6, 6, 10, 1, 1, 2, 10, 6, 10, 2, 6, 1, 10, 6, 6, 1, 6, 1, 2, 2, 6, 0, 1, 1, 1, 2, 10, 1, 1, 9, 10, 2, 6, 2, 6, 6, 6, 2, 2, 1, 10, 6, 6, 1, 10, 10, 10, 1, 6, 10, 1, 2, 6, 1, 1, 1, 10, 1, 10, 2, 10, 10, 10, 10, 6, 2, 1, 2, 1, 6, 2, 6, 6, 2, 10, 1, 1, 10, 1, 10, 2, 2, 2, 6, 2, 6, 2, 2, 6, 2, 2, 10, 2, 6, 1, 2, 1, 10, 6, 10, 10, 1, 2, 1, 10, 1, 1, 1, 2, 6, 6, 9, 6, 10, 10, 6, 6, 9, 2, 6, 2, 10, 1, 6, 6, 1, 2, 1, 2, 1, 2, 2, 10, 2, 6, 1, 1, 1, 6, 10, 2, 1, 10, 6, 10, 10, 6, 1, 10, 2, 10, 1, 6, 6, 2, 10, 1, 6, 10, 1, 1, 1, 1, 1, 2, 10, 6, 10, 6, 2, 2, 2, 10, 2, 1, 1, 6, 4, 6, 10, 10, 6, 2, 6, 1, 10, 10, 6, 6, 6, 6, 2, 2, 10, 1, 6, 10, 1, 2, 6, 6, 2, 6, 2, 6, 1, 10, 10, 10, 6, 1, 1, 10, 1, 6, 10, 1, 10, 10, 6, 1, 6, 10, 2, 10, 10, 2, 1, 6, 1, 1, 2, 2, 1, 6, 6, 1, 1, 1, 1, 10, 10, 1, 1, 10, 6, 10, 6, 1, 2, 6, 10, 6, 10, 10, 6, 6, 10, 2, 10, 2, 2, 2, 6, 10, 1, 2, 6, 2, 6, 1, 10, 2, 10, 2, 6, 6, 2, 6, 10, 6, 10, 1, 10, 2, 10, 1, 2, 10, 2, 6, 2, 1, 10, 10, 5, 6, 1, 10, 0, 1, 2, 10, 6, 10, 1, 1, 10, 1, 2, 6, 9, 10, 2, 10, 10, 2, 10, 2, 10, 1, 1, 2, 2, 10, 6, 2, 2, 2, 2, 0, 2, 6, 10, 10, 10, 1, 1, 2, 1, 1, 10, 1, 1, 10, 10, 2, 2, 10, 2, 2, 6, 2, 10, 1, 6, 6, 6, 2, 10, 6, 6, 10, 2, 2, 6, 10, 1, 1, 1, 6, 10, 2, 0, 0, 2, 2, 2, 1, 10, 10, 1, 1, 10, 2, 1, 2, 6, 1, 2, 10, 4, 1, 6, 6, 6, 2, 10, 10, 6, 6, 6, 10, 2, 6, 6, 0, 1, 10, 2, 10, 1, 5, 2, 6, 6, 6, 6, 6, 6, 6, 1, 9, 1, 2, 1, 6, 1, 6, 2, 6, 6, 1, 2, 2, 10, 2, 6, 2, 6, 10, 10, 2, 1, 2, 1, 6, 10, 10, 6, 10, 2, 1, 1, 10, 10, 1, 1, 1, 2, 10, 10, 6, 2, 6, 1, 2, 1, 1, 2, 1, 6, 1, 6, 1, 6, 2, 2, 2, 2, 10, 2, 6, 1, 1, 1, 10, 6, 10, 2, 6, 1, 1, 6, 1, 4, 1, 10, 10, 2, 10, 10, 6, 6, 1, 2, 1, 10, 1, 6, 0, 2, 6, 10, 10, 2, 6, 10, 2, 10, 10, 6, 1, 6, 10, 2, 2, 1, 1, 2, 10, 1, 1, 6, 1, 6, 10, 2, 6, 10, 6, 6, 1, 4, 10, 10, 2, 6, 2, 10, 10, 1, 1, 1, 2, 4, 6, 10, 6, 1, 6, 6, 1, 6, 10, 10, 1, 10, 2, 6, 10, 10, 0, 10, 10, 6, 1, 10, 6, 10, 1, 2, 2, 10, 2, 1, 1, 10, 10, 2, 2, 1, 4, 6, 2, 9, 2, 10, 2, 6, 6, 1, 1, 1, 10, 10, 10, 10, 2, 1, 1, 10, 10, 4, 6, 10, 10, 1, 2, 6, 10, 2, 10, 1, 10, 2, 6, 10, 2, 10, 2, 6, 10, 4, 2, 1, 10, 10, 2, 10, 6, 2, 10, 10, 2, 1, 6, 0, 1, 6, 6, 1, 1, 6, 1, 1, 10, 1, 2, 2, 6, 1, 10, 1, 1, 6, 6, 10, 2, 6, 2, 1, 10, 5, 1, 6, 6, 6, 10, 2, 2, 2, 10, 1, 1, 10, 2, 1, 2, 1, 2, 6, 6, 10, 6, 1, 1, 1, 10, 10, 10, 1, 1, 2, 1, 2, 6, 10, 1, 2, 10, 6, 2, 1, 2, 6, 0, 10, 1, 6, 10, 5, 2, 6, 6, 10, 1, 10, 10, 2, 10, 1, 1, 2, 10, 6, 1, 2, 1, 2, 2, 6, 10, 10, 6, 1, 6, 1, 2, 6, 10, 1, 2, 2, 2, 10, 1, 1, 6, 1, 2, 2, 1, 1, 10, 10, 6, 1, 10, 2, 10, 10, 2, 6, 6, 1, 6, 2, 2, 6, 6, 0, 2, 1, 6, 1, 2, 1, 10, 6, 6, 1, 6, 10, 1, 6, 10, 1, 6, 1, 10, 6, 6, 1, 6, 1, 6, 2, 1, 10, 1, 2, 2, 1, 2, 2, 2, 1, 10, 6, 10, 6, 2, 10, 2, 2, 10, 6, 2, 9, 10, 2, 2, 10, 10, 6, 2, 10, 10, 6, 6, 10, 6, 4, 1, 10, 1, 1, 10, 10, 1, 10, 6, 2, 10, 2, 6, 1, 2, 10, 6, 6, 10, 10, 1, 2, 2, 1, 2, 10, 1, 10, 10, 10, 2, 6, 0, 10, 6, 6, 1, 1, 1, 1, 9, 1, 10, 1, 2, 10, 2, 2, 2, 10, 2, 10, 6, 1, 2, 6, 10, 2, 10, 6, 10, 6, 10, 10, 2, 1, 6, 10, 2, 6, 10, 1, 1, 6, 2, 1, 6, 2, 6, 6, 10, 1, 10, 6, 1, 10, 10, 10, 6, 6, 2, 2, 1, 10, 10, 1, 10, 1, 10, 10, 6, 5, 2, 10, 6, 6, 1, 4, 10, 10, 1, 10, 6, 1, 10, 2, 1, 2, 2, 6, 2, 1, 10, 10, 1, 10, 6, 10, 6, 6, 2, 6, 10, 10, 10, 6, 1, 6, 2, 1, 1, 2, 1, 6, 10, 6, 10, 10, 1, 10, 6, 2, 2, 10, 10, 6, 2, 1, 1, 6, 6, 6, 1, 10, 2, 10, 6, 6, 0, 6, 2, 1, 1, 6, 6, 2, 2, 6, 1, 2, 6, 2, 6, 2, 2, 10, 9, 6, 1, 10, 1, 1, 2, 1, 1, 6, 1, 5, 10, 6, 2, 1, 1, 1, 1, 9, 0, 1, 6, 10, 4, 1, 1, 2, 10, 6, 2, 2, 2, 10, 6, 2, 6, 10, 10, 10, 2, 1, 2, 6, 6, 1, 6, 10, 6, 5, 6, 10, 6, 10, 2, 2, 5, 6, 10, 10, 1, 1, 1, 6, 6, 1, 2, 10, 6, 1, 1, 2, 1, 4, 2, 2, 2, 6, 6, 6, 2, 2, 10, 6, 6, 6, 1, 2, 6, 3, 2, 0, 1, 6, 10, 1, 10, 2, 6, 2, 2, 10, 4, 6, 2, 2, 2, 6, 10, 2, 6, 6, 10, 2, 1, 2, 6, 6, 2, 6, 1, 2, 6, 6, 1, 6, 6, 1, 6, 1, 6, 10, 2, 4, 2, 2, 1, 2, 10, 2, 1, 6, 10, 1, 2, 6, 2, 10, 1, 1, 2, 10, 6, 6, 2, 6, 2, 6, 10, 10, 1, 1, 2, 6, 1, 6, 2, 6, 6, 1, 10, 2, 2, 6, 1, 2, 6, 1, 6, 10, 10, 2, 2, 10, 10, 6, 1, 10, 2, 6, 6, 2, 2, 2, 6, 10, 2, 10, 10, 6, 1, 6, 1, 1, 10, 1, 1, 2, 2, 10, 2, 2, 2, 10, 10, 2, 6, 2, 2, 10, 6, 2, 6, 10, 6, 10, 1, 1, 1, 10, 2, 1, 2, 7, 6, 10, 1, 6, 2, 6, 1, 10, 10, 1, 6, 2, 6, 6, 10, 1, 1, 2, 1, 6, 6, 2, 10, 10, 10, 0, 6, 6, 1, 10, 0, 10, 2, 2, 6, 2, 10, 10, 2, 10, 1, 2, 10, 6, 10, 2, 10, 10, 1, 6, 10, 2, 6, 10, 10, 6, 10, 2, 1, 2, 2, 2, 10, 1, 4, 1, 1, 6, 2, 2, 2, 6, 1, 6, 10, 1, 2, 2, 6, 0, 6, 1, 1, 2, 10, 10, 2, 6, 2, 1, 1, 2, 10, 10, 1, 10, 5, 1, 1, 6, 10, 6, 10, 6, 2, 10, 10, 2, 10, 10, 10, 6, 2, 10, 1, 1, 1, 6, 10, 10, 10, 2, 10, 10, 10, 10, 1, 10, 1, 1, 1, 2, 10, 1, 1, 10, 6, 1, 1, 1, 10, 6, 1, 10, 1, 6, 1, 10, 10, 6, 1, 6, 6, 2, 2, 6, 6, 6, 1, 1, 2, 1, 10, 2, 1, 6, 10, 6, 1, 2, 6, 1, 1, 10, 1, 2, 10, 6, 9, 10, 2, 1, 6, 2, 10, 6, 2, 2, 6, 1, 2, 1, 2, 6, 10, 6, 6, 6, 6, 6, 10, 1, 6, 1, 10, 10, 6, 2, 10, 2, 2, 10, 2, 6, 10, 1, 1, 10, 10, 10, 6, 2, 2, 1, 10, 6, 10, 6, 6, 10, 6, 6, 1, 10, 10, 2, 6, 6, 10, 10, 2, 2, 1, 6, 1, 6, 6, 6, 2, 10, 6, 9, 1, 6, 6, 6, 6, 2, 1, 10, 6, 6, 2, 10, 1, 6, 6, 1, 1, 10, 2, 2, 10, 6, 1, 10, 2, 1, 2, 10, 2, 2, 1, 6, 6, 2, 10, 1, 10, 1, 1, 1, 6, 2, 10, 2, 1, 10, 2, 10, 2, 6, 2, 10, 1, 1, 6, 6, 6, 1, 6, 1, 10, 1, 2, 2, 2, 10, 4, 2, 2, 2, 6, 6, 2, 6, 5, 6, 10, 1, 10, 10, 10, 6, 1, 10, 6, 6, 1, 6, 2, 1, 6, 2, 1, 1, 1, 6, 10, 2, 10, 1, 10, 10, 2, 6, 1, 10, 10, 1, 2, 10, 10, 2, 1, 10, 2, 1, 10, 1, 1, 10, 10, 9, 6, 1, 1, 2, 1, 6, 6, 2, 2, 10, 2, 2, 6, 4, 1, 2, 6, 1, 5, 1, 6, 6, 1, 10, 10, 2, 1, 6, 1, 6, 60, 10, 1, 1, 1, 2, 10, 1, 10, 6, 6, 6, 6, 1, 2, 1, 10, 1, 6, 10, 6, 5, 10, 2, 2, 2, 2, 10, 1, 6, 1, 4, 1, 9, 6, 1, 10, 9, 1, 6, 2, 10, 10, 1, 6, 6, 2, 10, 1, 1, 6, 10, 10, 2, 5, 6, 1, 1, 10, 1, 10, 2, 6, 2, 10, 2, 6, 10, 6, 6, 1, 2, 2, 6, 2, 1, 2, 1, 2, 10, 6, 9, 10, 2, 10, 6, 6, 6, 10, 10, 1, 1, 9, 0, 10, 2, 6, 6, 10, 2, 10, 6, 10, 2, 10, 2, 2, 10, 10, 6, 1, 1, 10, 6, 10, 1, 10, 10, 1, 10, 1, 2, 6, 10, 2, 10, 2, 10, 2, 2, 10, 1, 6, 6, 0, 6, 1, 5, 2, 2, 2, 6, 1, 10, 6, 10, 1, 10, 10, 10, 10, 2, 10, 2, 10, 6, 6, 6, 10, 6, 1, 10, 6, 2, 1, 1, 2, 2, 1, 10, 1, 10, 2, 2, 1, 10, 6, 2, 10, 6, 1, 2, 2, 1, 10, 2, 6, 1, 1, 2, 6, 10, 6, 6, 10, 6, 6, 10, 1, 1, 1, 6, 5, 2, 10, 6, 10, 10, 1, 2, 6, 6, 2, 10, 10, 6, 1, 2, 1, 6, 2, 1, 6, 6, 6, 2, 10, 2, 6, 6, 2, 6, 4, 1, 6, 1, 6, 5, 2, 5, 10, 2, 10, 2, 2, 1, 10, 6, 10, 2, 6, 10, 10, 10, 6, 1, 10, 6, 6, 6, 2, 6, 2, 6, 2, 2, 6, 1, 6, 0, 1, 2, 6, 10, 2, 4, 6, 2, 0, 10, 10, 5, 2, 1, 0, 1, 6, 2, 2, 10, 10, 2, 6, 1, 2, 10, 1, 2, 6, 2, 1, 0, 10, 6, 2, 1, 10, 1, 2, 10, 10, 2, 1, 10, 10, 1, 2, 10, 2, 2, 2, 6, 2, 10, 6, 10, 10, 1, 1, 10, 1, 6, 2, 2, 6, 10, 2, 10, 6, 6, 10, 5, 2, 2, 6, 2, 1, 6, 2, 6, 10, 2, 1, 1, 6, 2, 2, 2, 1, 2, 10, 1, 10, 10, 1, 2, 2, 6, 2, 2, 6, 1, 6, 10, 1, 1, 6, 1, 6, 2, 6, 10, 1, 6, 6, 9, 1, 1, 5, 2, 2, 1, 1, 1, 6, 2, 1, 6, 1, 2, 2, 2, 6, 6, 6, 6, 6, 6, 1, 1, 6, 2, 1, 1, 1, 2, 2, 1, 1, 10, 2, 6, 2, 10, 10, 2, 2, 1, 10, 1, 2, 1, 2, 2, 2, 10, 6, 1, 2, 6, 10, 2, 2, 1, 1, 2, 6, 6, 1, 10, 6, 10, 2, 10, 10, 6, 6, 6, 2, 2, 1, 10, 1, 2, 1, 1, 1, 2, 2, 10, 9, 6, 10, 2, 1, 2, 1, 10, 10, 6, 2, 2, 2, 6, 6, 2, 6, 0, 2, 10, 2, 10, 6, 1, 6, 6, 6, 1, 10, 6, 10, 6, 2, 6, 1, 10, 6, 6, 6, 10, 1, 10, 2, 1, 10, 6, 6, 1, 6, 2, 2, 6, 2, 4, 10, 10, 1, 10, 2, 2, 10, 2, 10, 6, 2, 10, 10, 1, 6, 10, 6, 2, 10, 4, 1, 10, 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10, 10, 6, 6, 2, 10, 10, 10, 1, 10, 10, 6, 6, 1, 1, 10, 10, 1, 6, 2, 1, 10, 1, 1, 2, 10, 10, 2, 6, 2, 2, 2, 5, 2, 10, 2, 2, 2, 1, 10, 2, 1, 6, 10, 10, 10, 2, 6, 2, 1, 6, 10, 6, 10, 0, 6, 9, 2, 1, 10, 2, 6, 10, 2, 10, 10, 1, 2, 10, 10, 10, 2, 10, 2, 10, 1, 10, 10, 2, 2, 10, 10, 1, 10, 2, 2, 4, 1, 6, 10, 6, 1, 1, 10, 10, 1, 1, 6, 2, 6, 2, 10, 10, 6, 1, 6, 2, 10, 6, 10, 10, 2, 2, 2, 10, 10, 5, 6, 6, 6, 2, 1, 6, 10, 2, 2, 10, 6, 2, 1, 10, 9, 10, 1, 6, 1, 2, 1, 2, 10, 6, 2, 9, 10, 6, 1, 2, 2, 1, 10, 2, 1, 10, 10, 2, 2, 6, 6, 6, 2, 6, 2, 2, 1, 1, 2, 1, 6, 2, 1, 9, 2, 1, 2, 2, 1, 10, 6, 6, 2, 6, 2, 6, 2, 10, 10, 6, 10, 2, 6, 1, 10, 1, 6, 1, 2, 6, 2, 10, 6, 10, 1, 2, 6, 2, 2, 2, 10, 1, 10, 6, 1, 2, 2, 6, 10, 2, 1, 2, 1, 2, 6, 1, 2, 6, 6, 2, 6, 1, 6, 1, 6, 9, 6, 9, 1, 10, 1, 2, 1, 1, 10, 2, 10, 10, 9, 2, 2, 2, 2, 6, 1, 2, 6, 2, 1, 10, 1, 9, 10, 6, 1, 1, 2, 2, 6, 1, 10, 9, 10, 10, 6, 10, 1, 10, 1, 6, 1, 10, 10, 10, 10, 10, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 10, 6, 6, 10, 2, 6, 6, 2, 10, 2, 6, 0, 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10, 1, 6, 10, 1, 10, 4, 1, 10, 1, 10, 2, 2, 10, 2, 6, 10, 10, 0, 6, 10, 5, 2, 2, 10, 9, 2, 6, 6, 10, 10, 1, 6, 6, 6, 6, 2, 6, 1, 0, 10, 10, 6, 10, 6, 6, 10, 2, 2, 2, 2, 2, 1, 6, 10, 6, 6, 10, 6, 1, 6, 2, 6, 2, 10, 10, 10, 10, 6, 2, 1, 6, 1, 10, 6, 2, 2, 1, 2, 1, 1, 1, 1, 9, 6, 6, 6, 1, 10, 2, 2, 10, 2, 2, 10, 1, 6, 10, 1, 2, 1, 6, 6, 10, 1, 1, 1, 10, 10, 6, 2, 2, 1, 6, 1, 9, 1, 6, 10, 5, 2, 10, 1, 6, 2, 6, 6, 10, 1, 10, 2, 10, 2, 6, 6, 10, 9, 1, 2, 2, 6, 6, 1, 6, 1, 2, 6, 1, 10, 50, 2, 10, 1, 10, 10, 10, 2, 2, 2, 10, 2, 1, 6, 10, 10, 2, 6, 2, 6, 1, 2, 2, 2, 6, 2, 1, 6, 6, 6, 6, 6, 6, 1, 5, 6, 6, 6, 1, 6, 2, 2, 1, 2, 1, 10, 2, 1, 6, 6, 6, 1, 2, 6, 10, 6, 6, 10, 10, 6, 1, 1, 2, 6, 6, 6, 10, 2, 1, 2, 6, 10, 1, 6, 2, 2, 6, 2, 10, 2, 1, 10, 6, 10, 10, 2, 6, 1, 10, 4, 2, 1, 1, 2, 1, 10, 2, 6, 10, 2, 6, 1, 9, 6, 6, 2, 10, 10, 2, 10, 10, 2, 1, 6, 10, 2, 10, 1, 10, 6, 10, 10, 10, 6, 6, 2, 1, 6, 2, 2, 2, 2, 2, 1, 6, 1, 2, 1, 6, 5, 6, 2, 1, 2, 2, 10, 2, 10, 10, 1, 10, 2, 1, 6, 10, 6, 10, 2, 6, 10, 6, 10, 2, 2, 9, 10, 2, 6, 10, 6, 6, 10, 1, 6, 10, 1, 6, 1, 1, 1, 6, 6, 1, 6, 1, 2, 4, 10, 1, 6, 2, 6, 1, 10, 10, 6, 1, 2, 6, 2, 2, 1, 6, 10, 2, 1, 1, 2, 6, 6, 10, 1, 0, 2, 6, 6, 10, 10, 1, 6, 1, 6, 6, 2, 1, 10, 1, 6, 2, 1, 2, 6, 10, 10, 10, 6, 10, 10, 2, 2, 1, 10, 10, 5, 1, 6, 10, 10, 10, 10, 1, 1, 6, 2, 10, 6, 1, 1, 1, 2, 6, 1, 1, 10, 6, 1, 1, 5, 10, 2, 2, 10, 10, 6, 10, 1, 10, 2, 2, 6, 6, 2, 10, 2, 6, 10, 2, 6, 2, 2, 10, 6, 1, 6, 1, 6, 6, 1, 2, 6, 1, 2, 1, 1, 10, 6, 2, 6, 6, 6, 10, 1, 10, 1, 2, 10, 10, 1, 2, 6, 6, 6, 6, 1, 1, 1, 1, 6, 6, 2, 6, 1, 10, 1, 10, 6, 6, 10, 2, 1, 10, 10, 10, 1, 0, 10, 6, 2, 1, 10, 10, 6, 6, 1, 1, 10, 6, 6, 1, 2, 1, 1, 2, 6, 10, 9, 1, 1, 2, 6, 1, 10, 10, 1, 1, 10, 2, 2, 10, 1, 2, 1, 1, 6, 2, 10, 1, 6, 10, 10, 2, 10, 1, 10, 6, 2, 1, 1, 6, 10, 1, 6, 10, 2, 1, 10, 6, 6, 2, 6, 2, 10, 2, 2, 10, 1, 10, 6, 10, 1, 1, 4, 6, 1, 2, 6, 10, 1, 1, 2, 1, 1, 1, 1, 1, 2, 6, 2, 2, 2, 6, 10, 2, 1, 2, 1, 10, 2, 1, 2, 4, 10, 6, 6, 1, 2, 6, 2, 6, 10, 6, 6, 1, 2, 1, 6, 1, 2, 1, 6, 10, 1, 1, 2, 6, 10, 1, 2, 2, 1, 2, 6, 10, 10, 10, 6, 6, 10, 2, 2, 10, 1, 6, 10, 1, 2, 2, 1, 1, 6, 10, 2, 2, 1, 2, 10, 1, 1, 2, 6, 10, 6, 6, 10, 2, 2, 1, 1, 10, 6, 10, 2, 2, 10, 10, 6, 6, 9, 2, 2, 1, 10, 1, 1, 2, 2, 10, 6, 6, 2, 10, 1, 1, 10, 6, 10, 6, 6, 10, 10, 10, 2, 1, 10, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 6, 2, 10, 1, 1, 1, 1, 1, 1, 6, 1, 6, 2, 1, 2, 10, 6, 2, 6, 2, 10, 2, 1, 10, 10, 6, 10, 10, 10, 2, 10, 10, 10, 10, 6, 10, 10, 1, 2, 10, 10, 2, 6, 10, 10, 10, 10, 2, 10, 2, 10, 1, 1, 2, 6, 10, 6, 1, 10, 10, 2, 10, 10, 10, 6, 1, 6, 6, 1, 1, 6, 1, 9, 1, 2, 6, 2, 6, 2, 10, 10, 10, 6, 6, 10, 2, 6, 10, 10, 6, 2, 10, 2, 10, 6, 6, 2, 1, 10, 1, 6, 2, 2, 6, 5, 10, 10, 1, 2, 6, 1, 6, 10, 6, 10, 6, 6, 6, 10, 6, 10, 10, 2, 1, 10, 6, 10, 10, 2, 1, 1, 1, 1, 10, 6, 1, 2, 2, 10, 6, 1, 1, 5, 2, 2, 2, 9, 2, 1, 1, 10, 10, 5, 2, 10, 1, 6, 4, 6, 1, 1, 2, 6, 9, 2, 6, 2, 6, 6, 2, 0, 5, 10, 1, 1, 1, 1, 1, 6, 10, 2, 2, 6, 10, 40, 6, 9, 2, 2, 2, 1, 2, 9, 6, 2, 10, 2, 6, 1, 10, 6, 1, 2, 1, 2, 10, 2, 2, 6, 9, 2, 1, 1, 2, 6, 6, 10, 1, 1, 1, 6, 2, 1, 2, 6, 6, 1, 6, 2, 2, 10, 10, 6, 1, 10, 1, 6, 10, 10, 1, 10, 6, 6, 10, 10, 2, 2, 6, 10, 2, 6, 2, 6, 6, 5, 1, 3, 6, 1, 6, 2, 2, 2, 2, 2, 6, 1, 9, 1, 10, 2, 2, 6, 2, 1, 6, 2, 2, 10, 10, 6, 6, 1, 2, 2, 6, 5, 1, 6, 6, 1, 2, 10, 10, 2, 10, 2, 10, 6, 10, 2, 1, 6, 10, 2, 6, 1, 2, 2, 2, 10, 6, 2, 10, 1, 2, 1, 2, 2, 2, 6, 1, 1, 6, 2, 2, 6, 2, 6, 10, 1, 2, 1, 10, 10, 10, 6, 2, 10, 10, 6, 1, 10, 1, 2, 10, 10, 1, 1, 2, 6, 10, 2, 0, 1, 10, 10, 2, 1, 1, 1, 10, 6, 10, 1, 6, 2, 1, 1, 10, 2, 2, 1, 6, 6, 6, 2, 1, 1, 2, 10, 10, 6, 6, 6, 2, 10, 1, 1, 2, 2, 1, 2, 2, 1, 5, 1, 2, 5, 2, 1, 2, 6, 6, 10, 10, 2, 0, 2, 1, 2, 2, 6, 6, 2, 1, 6, 6, 6, 6, 6, 6, 1, 1, 6, 1, 10, 2, 6, 10, 1, 10, 6, 10, 10, 2, 10, 10, 10, 2, 4, 1, 10, 10, 2, 10, 4, 6, 2, 1, 2, 2, 6, 1, 6, 10, 2, 1, 6, 6, 10, 10, 0, 2, 1, 6, 2, 6, 1, 1, 6, 10, 1, 2, 2, 2, 1, 6, 6, 2, 10, 6, 10, 6, 10, 10, 2, 1, 2, 2, 1, 1, 10, 1, 2, 6, 10, 6, 1, 2, 10, 6, 10, 2, 1, 6, 10, 2, 10, 1, 6, 10, 1, 1, 6, 2, 1, 10, 1, 1, 2, 2, 10, 6, 6, 6, 6, 1, 2, 6, 1, 10, 1, 6, 6, 6, 2, 1, 10, 6, 2, 1, 10, 6, 6, 2, 10, 1, 2, 2, 5, 6, 10, 2, 2, 6, 10, 10, 10, 10, 10, 10, 10, 5, 10, 6, 6, 10, 6, 1, 6, 10, 10, 2, 1, 6, 1, 1, 2, 6, 10, 1, 0, 10, 2, 10, 1, 2, 10, 2, 6, 6, 6, 10, 10, 1, 1, 10, 10, 6, 10, 2, 6, 1, 10, 2, 5, 1, 6, 1, 1, 10, 10, 6, 6, 2, 6, 1, 2, 6, 1, 6, 1, 6, 10, 1, 10, 2, 40, 6, 10, 1, 2, 2, 6, 10, 1, 6, 10, 2, 2, 10, 1, 1, 4, 10, 10, 2, 10, 2, 10, 1, 10, 4, 1, 1, 2, 6, 1, 1, 1, 1, 10, 6, 1, 10, 2, 1, 1, 2, 6, 10, 6, 1, 2, 1, 2, 1, 6, 6, 2, 10, 6, 1, 10, 9, 10, 1, 9, 6, 2, 10, 1, 10, 6, 6, 10, 6, 10, 2, 1, 6, 4, 10, 6, 1, 2, 10, 6, 10, 6, 5, 10, 10, 6, 2, 10, 5, 0, 6, 2, 2, 2, 1, 6, 10, 2, 6, 10, 6, 10, 6, 2, 2, 6, 6, 2, 2, 1, 10, 10, 6, 6, 6, 10, 6, 1, 1, 6, 1, 2, 2, 6, 2, 1, 6, 2, 2, 6, 2, 6, 2, 2, 10, 1, 10, 2, 6, 2, 9, 1, 10, 6, 6, 5, 10, 1, 1, 10, 6, 5, 2, 6, 6, 2, 6, 6, 6, 10, 2, 10, 10, 6, 1, 1, 0, 6, 6, 9, 10, 10, 6, 1, 6, 6, 2, 2, 6, 10, 6, 2, 2, 10, 1, 10, 10, 6, 10, 2, 1, 6, 10, 1, 6, 6, 1, 10, 6, 1, 1, 2, 1, 4, 10, 1, 6, 2, 1, 10, 10, 1, 6, 6, 10, 10, 5, 6, 6, 10, 2, 2, 2, 10, 10, 2, 6, 2, 10, 6, 6, 1, 2, 2, 10, 6, 10, 2, 6, 1, 1, 1, 2, 6, 6, 6, 10, 10, 6, 6, 6, 1, 6, 1, 10, 1, 1, 1, 1, 1, 2, 2, 6, 10, 10, 6, 1, 10, 1, 2, 8, 2, 6, 6, 10, 6, 5, 2, 1, 1, 1, 6, 10, 10, 2, 1, 1, 10, 1, 2, 10, 1, 2, 6, 6, 2, 2, 1, 6, 10, 6, 10, 1, 1, 2, 6, 2, 2, 10, 6, 6, 6, 10, 1, 1, 10, 10, 6, 2, 2, 6, 6, 6, 10, 2, 6, 2, 2, 2, 10, 2, 1, 6, 1, 5, 10, 2, 6, 1, 10, 10, 10, 5, 2, 6, 10, 10, 1, 10, 2, 1, 1, 6, 1, 5, 2, 1, 6, 10, 10, 2, 9, 6, 2, 2, 10, 10, 10, 6, 1, 1, 6, 2, 2, 2, 10, 6, 6, 6, 1, 10, 1, 2, 1, 10, 1, 10, 1, 2, 2, 2, 1, 2, 10, 6, 10, 1, 6, 10, 2, 2, 10, 2, 1, 2, 2, 10, 6, 6, 2, 2, 1, 6, 2, 6, 4, 2, 10, 6, 1, 2, 2, 2, 2, 10, 10, 1, 1, 10, 9, 2, 6, 2, 10, 10, 6, 6, 6, 6, 10, 4, 6, 2, 1, 1, 6, 10, 6, 10, 10, 1, 1, 6, 10, 2, 10, 10, 10, 6, 2, 6, 1, 1, 0, 2, 2, 10, 6, 10, 6, 2, 10, 10, 6, 2, 2, 10, 6, 1, 2, 6, 6, 1, 10, 6, 1, 10, 10, 1, 6, 2, 6, 6, 6, 1, 6, 10, 6, 2, 6, 1, 2, 10, 1, 10, 2, 2, 1, 2, 2, 10, 9, 1, 2, 10, 2, 2, 2, 10, 2, 2, 1, 6, 1, 2, 1, 6, 10, 2, 10, 6, 1, 1, 1, 6, 6, 1, 10, 10, 10, 1, 10, 1, 1, 1, 2, 2, 6, 10, 6, 2, 1, 2, 6, 2, 10, 1, 6, 10, 2, 2, 2, 10, 1, 5, 2, 1, 1, 6, 2, 10, 10, 6, 1, 1, 2, 10, 10, 1, 6, 2, 10, 2, 10, 10, 2, 10, 10, 2, 1, 10, 10, 6, 2, 10, 10, 10, 6, 5, 10, 1, 6, 6, 6, 6, 2, 6, 6, 6, 4, 10, 1, 10, 2, 6, 10, 6, 10, 6, 10, 1, 2, 2, 10, 9, 6, 6, 10, 1, 6, 10, 1, 2, 2, 1, 1, 2, 6, 1, 1, 0, 10, 5, 2, 6, 10, 2, 2, 2, 1, 10, 2, 10, 10, 1, 1, 1, 2, 10, 6, 1, 6, 6, 10, 6, 6, 1, 1, 1, 1, 2, 6, 1, 1, 1, 2, 6, 10, 10, 10, 6, 10, 6, 1, 10, 1, 1, 1, 1, 1, 6, 1, 10, 10, 10, 1, 2, 1, 6, 10, 10, 10, 10, 1, 2, 1, 2, 2, 1, 1, 10, 6, 2, 6, 2, 10, 2, 6, 2, 2, 2, 10, 0, 1, 2, 1, 6, 6, 10, 10, 1, 10, 10, 1, 2, 2, 6, 6, 2, 2, 2, 5, 1, 10, 5, 6, 2, 1, 6, 1, 10, 2, 2, 2, 6, 2, 6, 2, 2, 2, 1, 6, 2, 2, 0, 2, 2, 2, 10, 2, 2, 1, 1, 6, 6, 10, 2, 2, 1, 1, 1, 6, 2, 2, 1, 6, 2, 10, 6, 6, 0, 2, 1, 2, 10, 10, 2, 10, 10, 6, 1, 10, 1, 2, 5, 10, 1, 2, 6, 10, 1, 2, 10, 10, 2, 10, 2, 6, 1, 1, 10, 10, 1, 1, 1, 6, 1, 2, 10, 1, 6, 6, 6, 6, 10, 10, 2, 2, 10, 6, 6, 1, 10, 6, 6, 10, 2, 2, 1, 6, 10, 10, 6, 6, 6, 6, 10, 6, 6, 6, 6, 2, 2, 1, 2, 6, 10, 1, 2, 2, 1, 10, 2, 1, 6, 2, 6, 1, 6, 10, 6, 10, 1, 10, 10, 10, 10, 1, 1, 10, 6, 6, 2, 10, 10, 10, 10, 10, 2, 10, 1, 2, 6, 10, 6, 1, 6, 10, 1, 1, 6, 6, 1, 1, 1, 2, 2, 1, 2, 10, 6, 10, 10, 1, 6, 6, 1, 2, 2, 2, 6, 6, 6, 10, 1, 6, 6, 1, 10, 10, 2, 10, 10, 1, 10, 6, 2, 6, 2, 9, 1, 10, 6, 6, 2, 2, 9, 6, 10, 6, 10, 2, 10, 1, 10, 2, 1, 10, 2, 2, 10, 6, 10, 1, 2, 2, 1, 2, 6, 6, 6, 10, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 6, 6, 2, 10, 0, 1, 4, 10, 2, 2, 6, 9, 10, 1, 2, 10, 10, 10, 10, 10, 6, 1, 6, 2, 6, 1, 10, 6, 1, 6, 1, 2, 10, 1, 2, 6, 10, 1, 6, 1, 10, 1, 2, 6, 2, 2, 10, 1, 2, 6, 9, 2, 2, 6, 1, 1, 10, 1, 6, 6, 1, 4, 2, 1, 2, 6, 2, 2, 2, 2, 6, 6, 2, 1, 10, 1, 0, 6, 10, 2, 6, 10, 1, 10, 6, 2, 1, 6, 1, 1, 1, 10, 6, 2, 6, 1, 6, 10, 10, 1, 10, 2, 10, 6, 1, 1, 6, 5, 10, 10, 10, 6, 1, 2, 10, 6, 2, 1, 6, 6, 6, 1, 10, 6, 0, 10, 2, 1, 5, 1, 2, 1, 1, 2, 2, 1, 2, 1, 10, 6, 6, 6, 10, 10, 4, 6, 10, 10, 10, 2, 6, 2, 10, 10, 10, 1, 1, 1, 2, 1, 10, 1, 6, 2, 10, 5, 10, 1, 10, 6, 9, 2, 5, 2, 0, 10, 1, 1, 10, 10, 1, 6, 6, 1, 2, 1, 10, 1, 1, 10, 10, 2, 1, 6, 2, 1, 1, 6, 6, 1, 1, 9, 1, 1, 6, 6, 1, 1, 6, 6, 1, 1, 10, 4, 10, 2, 1, 6, 10, 1, 10, 6, 10, 6, 6, 10, 10, 1, 1, 6, 10, 2, 2, 10, 6, 6, 1, 10, 1, 6, 2, 1, 2, 1, 2, 1, 2, 2, 10, 6, 10, 2, 10, 1, 5, 1, 1, 10, 1, 10, 1, 2, 4, 5, 6, 6, 1, 6, 1, 2, 1, 2, 1, 6, 10, 6, 2, 2, 2, 6, 2, 6, 6, 2, 2, 6, 10, 6, 10, 1, 6, 10, 1, 6, 6, 1, 2, 6, 6, 6, 6, 10, 6, 6, 1, 10, 6, 10, 6, 10, 1, 10, 2, 1, 10, 1, 2, 1, 10, 2, 6, 1, 2, 6, 6, 2, 6, 6, 6, 1, 1, 2, 2, 10, 10, 2, 1, 2, 6, 10, 6, 6, 2, 4, 1, 10, 1, 2, 1, 1, 1, 2, 1, 2, 10, 2, 6, 2, 2, 1, 6, 10, 6, 1, 1, 2, 2, 6, 2, 10, 1, 1, 10, 1, 2, 2, 2, 2, 10, 10, 10, 6, 10, 2, 2, 1, 6, 1, 1, 10, 6, 2, 10, 2, 2, 10, 6, 10, 10, 2, 6, 10, 1, 1, 2, 2, 6, 6, 2, 2, 1, 6, 6, 1, 10, 2, 1, 2, 6, 2, 2, 6, 1, 10, 1, 1, 2, 6, 6, 10, 6, 4, 6, 6, 6, 1, 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1, 1, 1, 6, 1, 2, 1, 10, 2, 1, 1, 6, 10, 6, 10, 10, 2, 2, 6, 6, 1, 10, 10, 6, 2, 6, 2, 10, 6, 10, 6, 2, 1, 1, 10, 1, 1, 6, 6, 2, 1, 6, 10, 10, 1, 10, 2, 2, 1, 2, 2, 1, 1, 10, 1, 1, 1, 1, 10, 10, 6, 1, 2, 1, 10, 2, 10, 6, 6, 10, 6, 1, 2, 1, 2, 10, 1, 6, 2, 6, 1, 2, 6, 2, 1, 10, 2, 1, 1, 6, 2, 10, 6, 6, 10, 2, 10, 1, 10, 2, 10, 10, 6, 2, 1, 6, 6, 10, 1, 2, 6, 2, 1, 2, 1, 10, 10, 6, 2, 10, 10, 2, 6, 2, 6, 6, 6, 1, 2, 2, 10, 10, 2, 6, 10, 10, 2, 2, 10, 1, 1, 6, 2, 6, 10, 10, 2, 6, 6, 2, 10, 6, 2, 6, 10, 1, 10, 2, 10, 1, 2, 6, 9, 1, 2, 6, 1, 2, 6, 10, 2, 1, 10, 10, 10, 1, 2, 1, 1, 6, 1, 6, 2, 2, 6, 6, 6, 6, 6, 6, 1, 2, 6, 2, 6, 6, 2, 10, 1, 10, 1, 2, 10, 2, 2, 2, 1, 1, 10, 6, 2, 6, 2, 10, 10, 1, 10, 1, 6, 1, 1, 10, 2, 6, 10, 10, 2, 10, 6, 2, 1, 10, 2, 10, 10, 10, 2, 2, 1, 6, 1, 1, 1, 0, 2, 1, 10, 40, 10, 1, 6, 10, 6, 1, 2, 2, 2, 2, 10, 6, 1, 1, 2, 2, 6, 6, 1, 2, 2, 2, 2, 2, 2, 6, 10, 1, 2, 0, 6, 2, 10, 6, 6, 2, 6, 6, 10, 10, 6, 1, 1, 10, 9, 6, 2, 2, 1, 6, 10, 6, 1, 2, 2, 10, 10, 6, 10, 10, 6, 2, 1, 2, 4, 2, 1, 2, 6, 2, 2, 1, 10, 6, 2, 10, 10, 6, 10, 1, 6, 2, 2, 6, 3, 10, 6, 10, 6, 1, 1, 10, 10, 1, 10, 10, 1, 6, 2, 10, 6, 6, 2, 6, 6, 2, 10, 1, 9, 6, 10, 10, 6, 6, 1, 6, 6, 10, 6, 10, 6, 10, 1, 6, 6, 2, 1, 6, 6, 10, 6, 2, 2, 2, 1, 10, 2, 6, 10, 1, 6, 10, 2, 5, 6, 1, 1, 2, 2, 1, 2, 2, 2, 5, 2, 2, 6, 1, 1, 2, 0, 2, 0, 10, 1, 10, 6, 2, 2, 6, 6, 1, 10, 1, 0, 1, 1, 10, 2, 1, 10, 10, 6, 10, 4, 2, 10, 1, 1, 10, 2, 10, 2, 2, 1, 6, 2, 10, 10, 10, 1, 10, 2, 6, 1, 10, 1, 2, 1, 10, 2, 10, 10, 6, 0, 5, 2, 10, 6, 10, 10, 10, 2, 2, 1, 6, 10, 6, 10, 10, 6, 2, 1, 6, 1, 2, 1, 10, 2, 1, 6, 6, 10, 1, 6, 1, 10, 6, 2, 6, 10, 10, 10, 1, 1, 6, 2, 1, 0, 10, 1, 1, 10, 6, 10, 1, 1, 1, 2, 1, 6, 2, 10, 1, 1, 1, 6, 4, 2, 6, 10, 2, 2, 10, 1, 2, 10, 6, 1, 10, 6, 2, 0, 1, 10, 10, 6, 1, 2, 10, 1, 2, 10, 6, 6, 2, 2, 1, 10, 2, 2, 10, 10, 6, 10, 10, 1, 1, 6, 6, 1, 10, 10, 1, 10, 1, 2, 10, 6, 6, 10, 6, 10, 6, 6, 2, 10, 1, 2, 1, 10, 1, 2, 1, 0, 10, 6, 2, 2, 1, 6, 10, 1, 2, 10, 1, 2, 1, 2, 6, 2, 10, 1, 6, 2, 2, 2, 10, 2, 6, 1, 6, 6, 6, 1, 6, 6, 10, 6, 1, 6, 2, 1, 10, 1, 10, 6, 2, 6, 6, 6, 10, 10, 6, 2, 2, 10, 10, 2, 10, 2, 1, 10, 6, 6, 10, 1, 10, 6, 10, 1, 1, 6, 1, 2, 2, 10, 6, 1, 1, 1, 2, 10, 10, 1, 1, 2, 10, 1, 1, 6, 10, 6, 10, 20, 10, 6, 6, 1, 1, 2, 10, 10, 6, 1, 2, 10, 10, 10, 1, 1, 6, 10, 50, 5, 6, 1, 6, 1, 10, 10, 6, 9, 10, 2, 1, 10, 1, 6, 6, 6, 10, 10, 2, 6, 10, 1, 1, 6, 10, 2, 1, 10, 1, 1, 2, 2, 6, 10, 10, 10, 1, 1, 6, 6, 6, 2, 10, 1, 2, 1, 10, 2, 6, 10, 10, 10, 6, 10, 10, 1, 10, 2, 10, 6, 1, 2, 6, 6, 10, 10, 2, 10, 6, 10, 5, 6, 6, 6, 1, 6, 1, 1, 10, 2, 2, 2, 10, 1, 6, 2, 6, 10, 10, 6, 10, 1, 2, 2, 2, 1, 10, 5, 10, 10, 1, 2, 10, 1, 1, 2, 6, 10, 10, 2, 6, 1, 2, 10, 6, 1, 6, 10, 6, 2, 1, 10, 2, 2, 1, 2, 1, 1, 10, 2, 2, 2, 2, 10, 9, 1, 2, 10, 10, 1, 2, 1, 2, 2, 6, 2, 6, 2, 1, 6, 1, 2, 1, 1, 1, 1, 2, 2, 10, 2, 10, 10, 10, 1, 2, 1, 2, 10, 1, 6, 10, 1, 2, 1, 6, 2, 1, 6, 6, 2, 2, 1, 1, 2, 6, 2, 2, 4, 1, 6, 1, 1, 2, 1, 10, 1, 1, 1, 6, 1, 10, 6, 10, 5, 6, 6, 1, 6, 2, 10, 10, 1, 6, 10, 6, 1, 1, 6, 1, 6, 1, 10, 1, 6, 10, 1, 6, 10, 2, 6, 2, 1, 2, 1, 1, 1, 6, 6, 10, 2, 1, 1, 10, 1, 1, 1, 6, 6, 6, 2, 5, 1, 1, 10, 6, 1, 1, 6, 10, 1, 2, 2, 10, 2, 10, 2, 6, 10, 10, 1, 10, 10, 1, 4, 1, 6, 1, 2, 2, 6, 1, 4, 1, 1, 10, 2, 2, 2, 10, 1, 2, 6, 6, 2, 10, 2, 1, 10, 6, 10, 1, 10, 1, 6, 10, 2, 2, 6, 10, 1, 1, 6, 1, 2, 6, 1, 1, 1, 6, 10, 10, 2, 2, 1, 6, 5, 1, 6, 1, 1, 1, 2, 10, 10, 2, 1, 1, 6, 2, 9, 2, 6, 2, 6, 2, 10, 10, 10, 6, 1, 10, 6, 2, 2, 2, 1, 10, 6, 9, 1, 1, 10, 6, 6, 10, 6, 2, 9, 6, 1, 2, 1, 1, 6, 10, 2, 2, 1, 1, 1, 2, 10, 10, 1, 10, 1, 10, 10, 6, 6, 1, 6, 2, 1, 6, 6, 1, 2, 10, 10, 2, 6, 6, 1, 2, 2, 2, 10, 10, 2, 2, 9, 2, 10, 1, 2, 1, 10, 6, 6, 1, 2, 1, 10, 2, 1, 1, 2, 10, 2, 2, 6, 6, 2, 1, 10, 2, 1, 2, 1, 6, 10, 10, 1, 1, 1, 6, 2, 10, 10, 6, 1, 6, 2, 2, 1, 10, 10, 6, 2, 6, 10, 1, 6, 2, 2, 2, 6, 1, 2, 6, 4, 10, 1, 2, 10, 6, 2, 2, 2, 1, 1, 10, 10, 2, 2, 2, 2, 1, 6, 2, 10, 10, 10, 6, 2, 9, 0, 2, 1, 1, 2, 10, 2, 10, 1, 6, 2, 1, 6, 2, 6, 1, 1, 4, 1, 10, 10, 1, 1, 10, 6, 10, 10, 9, 6, 2, 1, 2, 6, 2, 1, 1, 1, 2, 2, 6, 2, 6, 6, 2, 2, 2, 10, 6, 1, 6, 6, 1, 2, 10, 1, 2, 6, 2, 1, 10, 1, 0, 6, 1, 10, 1, 2, 2, 1, 6, 2, 10, 10, 6, 1, 1, 6, 2, 2, 10, 1, 6, 2, 6, 2, 6, 2, 6, 1, 1, 2, 1, 1, 2, 2, 1, 6, 6, 1, 10, 6, 6, 6, 10, 2, 6, 6, 6, 6, 5, 10, 2, 1, 6, 10, 2, 6, 6, 10, 2, 1, 6, 6, 10, 2, 2, 10, 10, 2, 2, 6, 10, 10, 10, 2, 6, 6, 10, 6, 10, 6, 2, 2, 6, 6, 10, 6, 1, 10, 1, 1, 1, 2, 2, 2, 10, 1, 10, 6, 10, 10, 10, 10, 2, 10, 1, 2, 1, 2, 6, 9, 2, 6, 6, 1, 6, 1, 10, 10, 10, 10, 10, 2, 10, 10, 2, 6, 10, 1, 2, 2, 10, 1, 6, 1, 10, 2, 6, 10, 10, 1, 10, 6, 2, 1, 2, 6, 2, 5, 1, 10, 2, 1, 2, 2, 10, 6, 1, 5, 10, 2, 1, 1, 10, 10, 10, 10, 6, 1, 2, 10, 2, 10, 6, 6, 2, 10, 6, 2, 1, 10, 2, 10, 2, 1, 0, 10, 6, 6, 6, 1, 1, 2, 10, 2, 10, 6, 6, 10, 1, 10, 10, 6, 2, 1, 6, 6, 1, 10, 6, 6, 6, 10, 6, 2, 6, 2, 10, 1, 10, 1, 10, 50, 1, 6, 6, 1, 10, 1, 10, 10, 5, 2, 2, 1, 6, 10, 1, 6, 6, 1, 10, 1, 1, 2, 2, 6, 2, 6, 2, 1, 6, 2, 10, 6, 1, 6, 2, 2, 10, 1, 1, 2, 6, 6, 6, 10, 1, 1, 10, 0, 1, 1, 10, 6, 10, 1, 10, 10, 1, 6, 1, 1, 6, 10, 10, 2, 10, 10, 10, 6, 6, 0, 2, 2, 6, 10, 1, 10, 6, 10, 2, 1, 2, 2, 6, 10, 2, 1, 10, 1, 1, 2, 1, 1, 6, 10, 10, 10, 9, 10, 6, 4, 1, 10, 1, 2, 1, 6, 2, 2, 2, 2, 1, 10, 10, 10, 10, 1, 2, 2, 1, 10, 6, 10, 10, 1, 2, 6, 6, 2, 1, 6, 6, 10, 4, 6, 10, 1, 6, 2, 6, 2, 6, 10, 0, 2, 6, 2, 10, 6, 10, 10, 2, 1, 1, 10, 9, 2, 9, 10, 6, 1, 6, 10, 5, 2, 6, 2, 10, 1, 1, 1, 0, 2, 2, 6, 1, 2, 10, 1, 2, 10, 2, 2, 10, 6, 10, 2, 6, 5, 6, 10, 1, 2, 2, 1, 2, 6, 6, 6, 2, 6, 6, 10, 10, 6, 10, 1, 9, 10, 10, 1, 6, 6, 2, 10, 0, 1, 10, 10, 10, 6, 6, 6, 6, 10, 1, 10, 6, 10, 2, 0, 9, 1, 6, 10, 4, 5, 1, 10, 6, 10, 1, 10, 6, 10, 10, 10, 10, 10, 2, 2, 2, 10, 2, 2, 2, 6, 2, 6, 6, 2, 1, 5, 2, 10, 6, 1, 1, 6, 1, 6, 6, 6, 10, 10, 2, 6, 1, 6, 2, 1, 1, 10, 10, 1, 10, 10, 10, 2, 2, 1, 2, 2, 6, 10, 2, 2, 5, 1, 6, 10, 6, 2, 2, 10, 1, 2, 2, 6, 1, 1, 6, 6, 1, 6, 2, 1, 2, 2, 6, 10, 1, 10, 2, 1, 2, 0, 1, 6, 10, 6, 1, 2, 2, 6, 2, 10, 10, 10, 1, 10, 6, 10, 1, 10, 0, 6, 6, 10, 2, 6, 10, 6, 1, 1, 6, 6, 2, 10, 1, 2, 10, 2, 10, 2, 10, 2, 6, 10, 10, 1, 6, 1, 6, 6, 6, 2, 2, 1, 10, 10, 10, 1, 2, 1, 10, 10, 1, 10, 2, 6, 10, 2, 1, 6, 10, 1, 2, 6, 10, 6, 2, 6, 10, 1, 10, 0, 10, 1, 6, 10, 10, 10, 10, 6, 6, 6, 10, 6, 6, 0, 1, 6, 2, 1, 2, 1, 6, 1, 6, 1, 4, 6, 10, 1, 1, 10, 2, 6, 1, 10, 10, 6, 10, 1, 6, 2, 6, 2, 1, 2, 1, 1, 1, 1, 10, 10, 6, 1, 2, 10, 1, 1, 6, 10, 6, 6, 2, 2, 1, 6, 1, 2, 6, 10, 10, 1, 10, 0, 10, 10, 10, 6, 6, 6, 2, 1, 10, 2, 10, 1, 1, 10, 10, 1, 2, 6, 6, 10, 2, 2, 9, 1, 10, 1, 1, 6, 10, 6, 6, 2, 2, 1, 1, 1, 4, 10, 10, 1, 2, 10, 6, 6, 10, 6, 10, 6, 10, 2, 2, 0, 2, 10, 10, 10, 6, 6, 1, 1, 6, 6, 10, 10, 2, 1, 1, 10, 2, 10, 10, 1, 6, 2, 2, 10, 2, 10, 6, 10, 6, 6, 1, 10, 10, 2, 6, 6, 6, 6, 1, 2, 1, 10, 6, 9, 6, 1, 1, 1, 6, 1, 10, 6, 2, 2, 1, 1, 10, 1, 6, 6, 2, 2, 2, 10, 1, 1, 2, 10, 2, 10, 2, 2, 10, 10, 6, 2, 2, 6, 10, 2, 1, 10, 2, 10, 10, 4, 6, 10, 10, 1, 6, 2, 1, 1, 2, 2, 10, 1, 2, 6, 6, 2, 1, 6, 2, 10, 1, 1, 6, 6, 10, 1, 1, 2, 6, 1, 1, 2, 6, 1, 10, 6, 1, 2, 1, 10, 10, 2, 2, 6, 1, 10, 6, 0, 6, 1, 2, 10, 10, 2, 2, 10, 1, 10, 1, 10, 1, 1, 1, 2, 6, 1, 1, 6, 6, 6, 4, 10, 2, 2, 1, 1, 2, 2, 10, 1, 10, 1, 2, 2, 6, 10, 10, 5, 1, 6, 6, 10, 4, 1, 10, 2, 2, 1, 2, 6, 2, 6, 10, 2, 6, 10, 6, 6, 10, 10, 1, 1, 1, 6, 2, 2, 10, 6, 6, 2, 2, 0, 10, 2, 10, 1, 10, 6, 1, 2, 2, 10, 10, 10, 2, 2, 1, 2, 6, 6, 2, 6, 10, 6, 2, 10, 2, 2, 1, 6, 2, 10, 6, 10, 6, 10, 10, 6, 6, 1, 10, 10, 2, 10, 2, 2, 10, 10, 2, 0, 2, 2, 10, 6, 1, 1, 10, 6, 10, 2, 10, 10, 10, 2, 6, 6, 10, 10, 0, 6, 6, 2, 6, 1, 10, 10, 6, 6, 10, 2, 2, 1, 2, 10, 10, 1, 1, 10, 6, 2, 10, 10, 10, 6, 6, 6, 1, 2, 6, 6, 1, 1, 2, 4, 10, 1, 4, 10, 1, 10, 2, 10, 10, 10, 6, 6, 10, 0, 1, 6, 10, 2, 6, 10, 1, 10, 10, 6, 6, 1, 10, 2, 2, 6, 1, 6, 6, 10, 2, 1, 1, 10, 10, 6, 60, 2, 1, 10, 2, 1, 10, 10, 10, 2, 10, 1, 6, 1, 2, 6, 2, 10, 2, 6, 6, 1, 10, 10, 2, 1, 2, 1, 10, 1, 2, 6, 10, 2, 2, 10, 6, 1, 10, 2, 2, 2, 1, 2, 2, 6, 1, 2, 10, 2, 2, 2, 1, 6, 6, 1, 10, 2, 6, 10, 2, 2, 10, 1, 10, 2, 10, 0, 10, 2, 6, 6, 6, 6, 1, 6, 2, 6, 2, 2, 6, 6, 1, 2, 10, 4, 6, 10, 10, 6, 1, 4, 2, 5, 6, 2, 10, 6, 2, 6, 1, 2, 10, 6, 2, 1, 10, 10, 6, 10, 0, 1, 10, 6, 1, 6, 2, 2, 10, 1, 6, 10, 6, 10, 6, 6, 10, 2, 6, 2, 2, 10, 6, 6, 2, 9, 2, 6, 2, 1, 10, 5, 6, 6, 6, 10, 1, 6, 6, 10, 2, 2, 2, 9, 2, 1, 1, 10, 6, 2, 2, 10, 1, 1, 1, 2, 10, 10, 1, 2, 1, 2, 1, 10, 1, 10, 2, 2, 10, 1, 9, 2, 10, 10, 1, 6, 2, 1, 2, 2, 2, 6, 2, 2, 10, 6, 2, 10, 1, 6, 1, 1, 1, 10, 1, 6, 2, 6, 2, 10, 1, 10, 10, 10, 6, 6, 10, 1, 1, 1, 6, 1, 6, 6, 6, 1, 0, 1, 2, 1, 10, 10, 2, 10, 10, 1, 1, 2, 2, 10, 1, 0, 1, 6, 1, 10, 10, 6, 10, 1, 6, 6, 1, 10, 10, 10, 10, 6, 1, 10, 10, 6, 10, 2, 1, 6, 6, 1, 10, 1, 1, 6, 6, 1, 2, 10, 2, 10, 6, 2, 6, 1, 1, 1, 10, 1, 6, 6, 6, 10, 6, 2, 2, 10, 4, 2, 10, 10, 10, 2, 1, 1, 1, 4, 6, 10, 1, 10, 10, 10, 1, 6, 10, 6, 10, 1, 10, 1, 6, 2, 6, 6, 2, 9, 1, 2, 6, 1, 6, 2, 1, 10, 10, 1, 1, 10, 10, 1, 6, 2, 1, 6, 6, 2, 1, 2, 1, 4, 1, 6, 10, 10, 6, 10, 10, 1, 10, 10, 1, 10, 10, 10, 1, 2, 2, 6, 6, 6, 6, 10, 7, 2, 10, 2, 10, 6, 10, 6, 10, 1, 2, 6, 2, 1, 10, 10, 1, 2, 6, 10, 10, 1, 2, 2, 6, 10, 10, 6, 6, 1, 6, 2, 6, 9, 2, 1, 1, 1, 1, 10, 1, 6, 2, 1, 6, 2, 2, 1, 2, 6, 6, 10, 1, 10, 5, 1, 1, 10, 1, 2, 1, 6, 1, 10, 2, 10, 6, 10, 1, 6, 10, 6, 6, 6, 6, 10, 1, 2, 10, 6, 10, 10, 10, 6, 1, 6, 2, 6, 2, 2, 1, 1, 1, 2, 1, 2, 1, 10, 6, 2, 2, 2, 6, 6, 4, 1, 6, 1, 6, 2, 10, 6, 6, 10, 1, 10, 10, 6, 5, 1, 6, 10, 6, 6, 2, 0, 1, 6, 1, 6, 1, 10, 1, 10, 10, 1, 4, 2, 10, 6, 2, 1, 6, 2, 2, 6, 6, 6, 6, 2, 10, 10, 1, 2, 6, 1, 2, 2, 1, 4, 6, 1, 2, 6, 2, 1, 1, 1, 1, 6, 1, 6, 2, 1, 2, 1, 6, 2, 10, 2, 6, 6, 10, 6, 1, 1, 2, 10, 5, 6, 10, 1, 2, 6, 2, 10, 1, 1, 10, 1, 2, 1, 1, 6, 2, 1, 1, 10, 1, 2, 10, 6, 1, 6, 10, 1, 6, 2, 2, 1, 10, 1, 10, 1, 10, 10, 1, 2, 6, 5, 10, 6, 1, 1, 2, 2, 1, 10, 2, 10, 6, 10, 1, 1, 6, 2, 2, 6, 10, 6, 10, 10, 10, 6, 6, 2, 10, 6, 10, 2, 6, 6, 6, 1, 10, 6, 10, 10, 1, 1, 2, 2, 6, 2, 1, 10, 1, 2, 6, 6, 10, 2, 6, 6, 2, 1, 6, 10, 2, 10, 6, 10, 1, 10, 6, 6, 1, 10, 1, 10, 2, 6, 10, 1, 1, 10, 6, 2, 0, 6, 9, 1, 2, 10, 10, 1, 2, 2, 2, 6, 6, 6, 4, 2, 0, 6, 2, 6, 2, 6, 2, 2, 10, 1, 2, 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10, 10, 10, 1, 2, 6, 10, 2, 9, 10, 6, 1, 1, 1, 1, 10, 2, 2, 1, 6, 1, 6, 1, 2, 6, 1, 10, 10, 1, 10, 1, 10, 6, 6, 1, 10, 10, 2, 6, 6, 6, 2, 10, 6, 6, 6, 1, 10, 2, 2, 6, 1, 6, 6, 10, 6, 6, 6, 1, 10, 2, 10, 1, 6, 10, 1, 1, 2, 6, 2, 10, 10, 6, 6, 1, 10, 6, 1, 2, 6, 6, 10, 10, 6, 1, 10, 10, 1, 1, 2, 6, 6, 6, 1, 6, 2, 6, 2, 4, 1, 2, 1, 0, 2, 6, 1, 1, 10, 10, 2, 10, 1, 2, 1, 1, 6, 10, 10, 10, 2, 10, 6, 6, 2, 6, 6, 2, 1, 2, 10, 10, 6, 1, 1, 2, 2, 6, 2, 6, 1, 6, 2, 6, 1, 2, 1, 1, 2, 6, 2, 10, 6, 6, 1, 1, 1, 10, 6, 1, 2, 6, 2, 2, 10, 1, 2, 10, 6, 4, 10, 9, 6, 10, 9, 6, 10, 6, 6, 2, 10, 1, 2, 6, 10, 10, 1, 2, 1, 10, 1, 6, 2, 2, 6, 4, 6, 10, 2, 2, 6, 6, 10, 1, 2, 5, 6, 6, 6, 2, 6, 1, 6, 6, 6, 6, 1, 1, 10, 2, 10, 2, 2, 1, 4, 6, 1, 10, 2, 6, 6, 10, 2, 10, 9, 2, 6, 10, 1, 9, 2, 2, 4, 2, 6, 10, 6, 10, 2, 10, 0, 10, 2, 2, 9, 10, 1, 6, 10, 6, 1, 1, 6, 6, 6, 2, 1, 2, 10, 1, 2, 1, 1, 6, 1, 6, 2, 6, 1, 1, 1, 6, 6, 10, 10, 10, 1, 10, 10, 2, 1, 6, 10, 1, 6, 10, 2, 1, 6, 6, 6, 1, 2, 6, 10, 6, 10, 2, 2, 2, 10, 6, 6, 10, 10, 1, 10, 1, 1, 1, 1, 10, 2, 10, 10, 6, 2, 2, 1, 10, 2, 1, 1, 6, 2, 2, 10, 10, 2, 1, 9, 2, 10, 10, 0, 1, 1, 2, 1, 6, 6, 6, 6, 2, 6, 2, 10, 1, 2, 10, 1, 1, 6, 2, 6, 6, 0, 1, 1, 10, 6, 6, 1, 10, 10, 6, 6, 10, 6, 10, 10, 2, 6, 2, 6, 2, 2, 10, 1, 2, 1, 10, 6, 2, 6, 6, 5, 1, 1, 10, 1, 1, 9, 6, 6, 10, 2, 6, 1, 2, 6, 1, 6, 2, 4, 10, 6, 2, 10, 10, 6, 2, 10, 1, 1, 1, 9, 6, 1, 10, 1, 10, 2, 1, 6, 6, 1, 1, 2, 2, 1, 10, 1, 10, 6, 10, 10, 10, 6, 1, 2, 2, 2, 6, 6, 2, 10, 10, 6, 10, 1, 6, 0, 1, 2, 10, 2, 10, 2, 1, 6, 6, 10, 2, 6, 10, 6, 6, 10, 1, 6, 2, 9, 6, 6, 2, 6, 6, 10, 2, 1, 6, 2, 10, 2, 2, 1, 1, 6, 1, 2, 6, 2, 1, 1, 10, 10, 1, 6, 2, 10, 1, 10, 1, 1, 1, 1, 2, 2, 1, 10, 1, 1, 1, 10, 10, 10, 1, 6, 1, 1, 10, 10, 10, 1, 1, 10, 4, 1, 10, 1, 10, 2, 10, 2, 6, 1, 10, 10, 1, 2, 6, 6, 2, 1, 10, 10, 10, 1, 10, 10, 10, 6, 1, 1, 10, 1, 10, 10, 6, 10, 2, 10, 2, 6, 10, 4, 6, 1, 10, 1, 10, 2, 10, 1, 10, 6, 6, 6, 6, 2, 10, 6, 2, 1, 10, 2, 2, 10, 10, 2, 6, 6, 6, 1, 10, 1, 2, 10, 10, 6, 6, 1, 10, 10, 10, 1, 6, 6, 6, 2, 2, 6, 6, 2, 10, 10, 9, 1, 6, 6, 5, 6, 1, 10, 1, 2, 1, 6, 1, 1, 10, 1, 2, 6, 1, 1, 6, 2, 2, 1, 1, 1, 6, 10, 2, 2, 6, 1, 10, 1, 2, 1, 6, 2, 10, 4, 6, 10, 9, 6, 1, 1, 6, 1, 6, 10, 1, 1, 6, 2, 1, 6, 10, 1, 1, 6, 1, 1, 10, 1, 6, 2, 1, 6, 10, 6, 1, 10, 1, 10, 1, 6, 1, 10, 1, 2, 1, 1, 2, 6, 6, 2, 1, 4, 1, 1, 2, 10, 1, 2, 2, 1, 1, 2, 6, 1, 6, 1, 2, 10, 10, 2, 1, 6, 10, 1, 10, 6, 10, 6, 6, 10, 6, 6, 6, 1, 2, 10, 2, 1, 6, 1, 1, 2, 1, 6, 2, 6, 4, 10, 9, 1, 1, 10, 2, 6, 2, 1, 2, 1, 9, 10, 2, 1, 10, 1, 6, 6, 6, 4, 6, 6, 6, 6, 1, 1, 2, 6, 10, 10, 10, 6, 1, 6, 10, 6, 10, 1, 2, 2, 4, 6, 10, 10, 1, 2, 10, 2, 10, 6, 2, 2, 2, 10, 2, 2, 1, 2, 5, 1, 2, 2, 6, 6, 6, 1, 2, 1, 10, 1, 10, 1, 2, 6, 10, 1, 6, 2, 5, 2, 1, 2, 10, 10, 10, 0, 7, 2, 6, 1, 6, 10, 2, 10, 1, 2, 2, 1, 1, 2, 2, 10, 6, 10, 1, 4, 2, 2, 10, 1, 6, 1, 10, 1, 1, 2, 10, 1, 10, 6, 2, 10, 6, 6, 2, 2, 2, 2, 2, 1, 1, 1, 10, 1, 4, 10, 6, 2, 2, 1, 2, 10, 10, 1, 6, 6, 1, 2, 6, 6, 1, 6, 10, 1, 2, 10, 2, 10, 1, 2, 2, 6, 1, 10, 6, 1, 10, 2, 2, 1, 6, 5, 2, 1, 2, 6, 1, 0, 10, 2, 2, 10, 6, 6, 2, 2, 10, 2, 6, 2, 6, 6, 10, 1, 10, 6, 1, 10, 2, 1, 10, 6, 2, 10, 1, 1, 2, 6, 10, 6, 1, 6, 2, 10, 10, 5, 10, 6, 1, 6, 1, 1, 2, 2, 6, 10, 1, 1, 6, 1, 10, 2, 2, 2, 2, 1, 2, 2, 1, 1, 10, 2, 1, 6, 2, 6, 10, 6, 1, 10, 6, 2, 1, 10, 10, 10, 10, 2, 1, 6, 10, 6, 6, 1, 2, 2, 6, 6, 4, 1, 2, 10, 0, 1, 6, 1, 6, 10, 1, 6, 2, 1, 2, 2, 1, 1, 1, 2, 1, 6, 10, 6, 1, 6, 2, 1, 2, 1, 10, 2, 10, 10, 2, 10, 6, 1, 10, 10, 1, 6, 6, 1, 6, 6, 1, 10, 2, 10, 1, 10, 2, 6, 10, 1, 2, 2, 1, 2, 6, 1, 2, 6, 6, 10, 1, 6, 1, 6, 6, 2, 1, 6, 6, 10, 10, 6, 2, 6, 1, 10, 2, 5, 1, 40, 1, 2, 10, 1, 1, 2, 10, 10, 2, 2, 2, 10, 1, 2, 2, 6, 1, 1, 6, 6, 6, 2, 1, 2, 10, 10, 1, 1, 6, 10, 10, 2, 5, 6, 0, 6, 1, 1, 10, 10, 2, 1, 6, 1, 1, 6, 2, 2, 10, 6, 1, 1, 10, 2, 10, 6, 6, 10, 10, 4, 10, 2, 2, 6, 2, 10, 1, 6, 10, 2, 10, 5, 2, 6, 10, 6, 6, 2, 10, 6, 5, 6, 2, 10, 6, 6, 2, 10, 10, 6, 1, 2, 2, 1, 0, 6, 1, 6, 1, 2, 6, 6, 2, 1, 10, 2, 6, 2, 6, 6, 10, 2, 1, 10, 6, 6, 1, 6, 1, 10, 2, 6, 10, 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2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 6, 1, 10, 2, 10, 6, 6, 1, 2, 6, 2, 1, 6, 2, 10, 2, 1, 10, 2, 1, 4, 2, 10, 6, 10, 10, 1, 6, 6, 2, 10, 10, 10, 10, 6, 10, 6, 1, 6, 1, 6, 6, 6, 6, 6, 2, 2, 6, 6, 6, 2, 1, 2, 10, 2, 6, 1, 1, 2, 6, 6, 1, 5, 2, 2, 6, 2, 10, 1, 1, 10, 6, 6, 10, 2, 10, 10, 6, 10, 10, 6, 2, 1, 2, 1, 6, 1, 2, 1, 6, 10, 1, 2, 1, 2, 2, 10, 6, 6, 10, 2, 2, 10, 2, 2, 10, 1, 6, 10, 1, 5, 2, 6, 6, 10, 10, 6, 6, 10, 2, 2, 10, 6, 2, 6, 2, 10, 2, 10, 10, 6, 10, 9, 10, 1, 10, 2, 1, 2, 1, 10, 1, 2, 10, 6, 6, 2, 1, 2, 6, 10, 2, 6, 2, 10, 6, 10, 2, 1, 6, 2, 10, 2, 6, 6, 10, 1, 2, 2, 6, 1, 6, 1, 2, 1, 1, 6, 10, 1, 1, 8, 6, 10, 6, 6, 10, 6, 1, 1, 10, 10, 1, 1, 10, 2, 6, 1, 6, 6, 6, 2, 10, 6, 2, 6, 2, 10, 6, 1, 10, 2, 6, 10, 1, 2, 1, 2, 10, 6, 2, 2, 6, 1, 2, 6, 10, 2, 6, 2, 4, 1, 10, 6, 10, 10, 10, 2, 6, 2, 2, 6, 1, 6, 2, 10, 0, 6, 10, 6, 2, 6, 6, 10, 1, 2, 1, 1, 1, 2, 6, 1, 1, 1, 1, 6, 9, 1, 10, 1, 2, 1, 2, 1, 1, 10, 2, 2, 6, 2, 1, 6, 10, 1, 10, 10, 1, 10, 10, 6, 6, 2, 1, 1, 1, 1, 2, 1, 6, 10, 6, 2, 10, 10, 2, 2, 2, 10, 10, 6, 10, 2, 2, 2, 2, 6, 6, 5, 6, 2, 2, 10, 1, 6, 2, 1, 2, 2, 6, 1, 10, 2, 2, 1, 10, 10, 6, 10, 2, 2, 6, 10, 1, 1, 10, 10, 6, 10, 1, 2, 6, 10, 5, 6, 2, 2, 2, 10, 1, 1, 10, 10, 1, 1, 1, 2, 6, 2, 10, 6, 1, 1, 10, 2, 2, 10, 6, 10, 10, 10, 10, 2, 1, 6, 10, 2, 2, 6, 10, 2, 10, 2, 1, 10, 6, 2, 2, 6, 0, 4, 6, 6, 2, 2, 1, 10, 1, 5, 6, 6, 4, 1, 2, 1, 10, 2, 2, 2, 10, 2, 1, 6, 10, 2, 2, 6, 6, 10, 2, 9, 2, 10, 1, 2, 6, 2, 6, 2, 2, 2, 1, 2, 6, 1, 1, 2, 6, 6, 2, 10, 2, 6, 2, 1, 2, 6, 10, 6, 10, 1, 10, 1, 1, 10, 6, 2, 2, 2, 6, 6, 1, 6, 6, 6, 1, 2, 2, 1, 10, 10, 10, 2, 6, 2, 6, 2, 1, 2, 10, 2, 1, 2, 1, 10, 6, 0, 2, 6, 10, 10, 2, 2, 6, 10, 6, 2, 9, 6, 4, 1, 10, 2, 10, 1, 10, 10, 1, 1, 10, 6, 10, 2, 6, 6, 10, 6, 10, 2, 10, 10, 1, 10, 2, 10, 10, 1, 2, 4, 1, 6, 10, 10, 6, 6, 2, 6, 1, 10, 2, 6, 2, 10, 6, 6, 10, 6, 6, 10, 2, 2, 2, 10, 1, 10, 1, 6, 1, 10, 6, 6, 10, 1, 1, 1, 6, 10, 1, 6, 10, 6, 10, 1, 2, 10, 6, 4, 10, 10, 1, 2, 10, 1, 2, 1, 6, 6, 10, 1, 6, 2, 5, 2, 1, 9, 1, 10, 7, 10, 2, 10, 6, 1, 6, 1, 10, 10, 6, 10, 10, 2, 10, 2, 1, 10, 10, 6, 1, 1, 1, 6, 6, 2, 10, 6, 2, 6, 6, 10, 6, 1, 6, 10, 2, 0, 2, 6, 1, 10, 1, 6, 6, 2, 6, 6, 6, 2, 6, 6, 6, 1, 6, 10, 1, 10, 2, 10, 6, 2, 6, 6, 10, 10, 6, 6, 6, 2, 6, 6, 1, 1, 6, 6, 1, 1, 6, 1, 6, 6, 10, 6, 6, 2, 6, 6, 10, 2, 10, 1, 5, 10, 1, 2, 40, 10, 10, 2, 2, 6, 6, 2, 6, 2, 10, 1, 1, 6, 6, 10, 2, 10, 10, 10, 6, 10, 6, 6, 1, 1, 10, 10, 10, 10, 1, 6, 6, 2, 2, 2, 6, 6, 2, 10, 6, 1, 10, 10, 10, 10, 6, 4, 2, 6, 6, 6, 10, 10, 10, 10, 5, 10, 2, 2, 2, 10, 1, 6, 1, 1, 2, 1, 3, 10, 2, 2, 6, 2, 1, 6, 2, 6, 10, 2, 2, 10, 2, 6, 10, 10, 5, 10, 6, 10, 10, 10, 1, 1, 2, 10, 1, 2, 10, 10, 2, 6, 1, 10, 6, 2, 2, 2, 2, 1, 2, 9, 2, 0, 6, 10, 1, 1, 1, 2, 2, 10, 1, 10, 10, 1, 1, 10, 2, 10, 8, 6, 1, 6, 1, 1, 1, 10, 1, 1, 4, 2, 2, 1, 6, 2, 6, 6, 2, 2, 1, 2, 2, 1, 10, 6, 10, 6, 2, 6, 10, 10, 6, 10, 1, 2, 5, 2, 10, 6, 10, 10, 1, 10, 10, 10, 6, 1, 2, 10, 6, 6, 1, 10, 1, 1, 1, 6, 2, 1, 6, 10, 6, 2, 6, 10, 0, 1, 10, 2, 10, 10, 6, 6, 2, 6, 40, 10, 2, 10, 1, 6, 1, 1, 2, 10, 1, 5, 6, 6, 1, 2, 10, 6, 2, 6, 10, 10, 6, 10, 2, 10, 10, 10, 1, 2, 6, 6, 10, 2, 6, 2, 2, 10, 6, 1, 9, 10, 6, 10, 6, 2, 2, 9, 6, 1, 1, 1, 6, 2, 1, 2, 1, 6, 6, 10, 1, 1, 10, 6, 2, 6, 10, 9, 1, 6, 10, 10, 1, 6, 1, 2, 2, 6, 10, 10, 2, 4, 1, 1, 2, 6, 6, 2, 10, 2, 6, 1, 2, 6, 0, 4, 10, 2, 10, 2, 6, 1, 1, 1, 5, 1, 2, 2, 2, 1, 6, 6, 1, 2, 10, 6, 1, 6, 6, 1, 10, 2, 10, 1, 6, 6, 10, 6, 2, 10, 2, 10, 2, 2, 6, 2, 6, 6, 1, 6, 2, 10, 1, 6, 10, 6, 6, 9, 6, 10, 2, 10, 2, 10, 6, 6, 6, 1, 2, 6, 10, 6, 2, 1, 2, 10, 2, 6, 6, 2, 2, 6, 4, 1, 2, 1, 6, 6, 2, 1, 6, 1, 6, 1, 10, 2, 6, 6, 2, 6, 10, 1, 1, 2, 2, 2, 10, 1, 10, 1, 2, 6, 10, 10, 2, 6, 6, 6, 6, 2, 10, 6, 6, 2, 2, 6, 2, 6, 6, 5, 6, 1, 1, 0, 6, 2, 2, 4, 9, 10, 6, 1, 1, 10, 6, 6, 2, 2, 2, 1, 1, 1, 2, 1, 10, 1, 10, 2, 1, 1, 2, 10, 10, 2, 1, 6, 2, 1, 2, 2, 10, 6, 2, 6, 0, 2, 1, 2, 1, 2, 10, 6, 2, 1, 2, 10, 6, 2, 10, 6, 2, 6, 2, 1, 2, 10, 1, 6, 10, 2, 1, 6, 2, 5, 6, 10, 6, 1, 6, 6, 2, 6, 2, 2, 6, 6, 6, 6, 6, 1, 2, 6, 2, 10, 6, 10, 6, 6, 6, 1, 6, 6, 1, 2, 2, 1, 1, 1, 6, 1, 10, 2, 10, 1, 1, 1, 10, 1, 6, 6, 10, 2, 2, 6, 10, 10, 1, 1, 10, 1, 1, 2, 10, 10, 10, 1, 10, 1, 6, 6, 1, 10, 6, 2, 1, 2, 6, 10, 2, 1, 6, 10, 10, 0, 1, 2, 10, 1, 1, 6, 2, 6, 2, 2, 10, 1, 2, 6, 2, 2, 2, 1, 6, 1, 6, 10, 1, 1, 6, 2, 2, 1, 6, 1, 1, 10, 10, 2, 6, 6, 6, 6, 2, 10, 2, 6, 6, 10, 1, 2, 6, 1, 2, 10, 6, 10, 2, 2, 1, 2, 6, 10, 2, 1, 2, 1, 10, 2, 1, 10, 2, 6, 9, 2, 10, 6, 10, 2, 1, 6, 1, 6, 6, 1, 6, 1, 2, 1, 10, 1, 2, 6, 1, 2, 2, 1, 1, 10, 1, 10, 2, 1, 2, 1, 10, 1, 6, 6, 1, 6, 2, 2, 10, 2, 1, 1, 6, 6, 6, 1, 1, 1, 1, 1, 2, 10, 2, 6, 10, 6, 6, 1, 6, 1, 10, 6, 1, 1, 10, 1, 1, 6, 10, 6, 2, 6, 6, 2, 6, 2, 2, 1, 6, 10, 10, 10, 2, 6, 10, 10, 6, 10, 7, 10, 1, 10, 9, 6, 1, 1, 10, 2, 6, 6, 2, 10, 6, 6, 6, 2, 10, 1, 9, 6, 6, 2, 10, 1, 10, 1, 1, 1, 10, 6, 1, 2, 10, 6, 1, 1, 6, 2, 6, 1, 6, 9, 10, 1, 1, 2, 6, 6, 2, 2, 6, 10, 10, 10, 1, 2, 1, 1, 2, 6, 10, 1, 10, 10, 10, 6, 10, 6, 10, 9, 6, 6, 2, 6, 1, 10, 10, 10, 1, 6, 2, 1, 6, 10, 1, 10, 2, 2, 1, 2, 2, 6, 2, 1, 6, 1, 1, 6, 1, 1, 6, 1, 10, 10, 2, 6, 10, 6, 1, 2, 6, 2, 1, 6, 6, 2, 2, 2, 10, 2, 10, 10, 6, 2, 6, 6, 6, 6, 10, 1, 1, 6, 2, 5, 1, 10, 6, 9, 6, 10, 9, 1, 2, 0, 10, 2, 10, 10, 2, 2, 6, 10, 10, 6, 2, 2, 2, 10, 1, 6, 2, 6, 2, 4, 1, 10, 1, 2, 10, 1, 6, 2, 6, 1, 6, 10, 1, 6, 1, 6, 6, 6, 2, 6, 2, 10, 1, 10, 2, 2, 2, 10, 10, 6, 2, 6, 10, 1, 10, 2, 10, 10, 2, 2, 2, 6, 2, 6, 2, 2, 6, 1, 4, 4, 2, 10, 2, 6, 10, 10, 10, 1, 6, 1, 1, 2, 1, 10, 2, 1, 2, 1, 2, 6, 6, 2, 1, 6, 10, 1, 2, 6, 6, 10, 2, 2, 10, 10, 2, 10, 10, 6, 10, 6, 1, 2, 6, 6, 6, 10, 10, 1, 6, 2, 1, 6, 6, 10, 1, 2, 6, 6, 4, 6, 2, 10, 2, 2, 10, 10, 10, 1, 2, 2, 10, 10, 10, 10, 2, 10, 6, 5, 1, 10, 10, 1, 10, 2, 2, 6, 2, 6, 10, 10, 6, 10, 6, 6, 10, 6, 1, 1, 10, 6, 10, 1, 2, 2, 6, 10, 10, 10, 6, 1, 1, 1, 1, 10, 2, 2, 2, 10, 6, 60, 1, 10, 10, 10, 6, 1, 2, 2, 2, 1, 10, 10, 2, 6, 2, 2, 6, 6, 10, 2, 1, 2, 6, 6, 5, 6, 1, 0, 1, 6, 6, 6, 6, 1, 6, 10, 6, 6, 6, 1, 2, 1, 1, 1, 1, 10, 10, 6, 10, 2, 6, 2, 6, 6, 6, 6, 6, 6, 2, 6, 10, 2, 10, 1, 2, 2, 1, 10, 10, 1, 1, 1, 2, 10, 9, 2, 6, 5, 2, 1, 10, 2, 10, 2, 1, 10, 6, 9, 6, 6, 1, 6, 6, 1, 6, 10, 6, 5, 10, 2, 10, 2, 2, 2, 6, 1, 2, 1, 2, 10, 10, 4, 2, 10, 2, 1, 10, 2, 10, 1, 6, 1, 2, 10, 10, 1, 2, 6, 1, 2, 2, 1, 1, 2, 2, 9, 6, 1, 6, 6, 1, 6, 1, 10, 10, 1, 5, 10, 1, 1, 10, 10, 10, 1, 6, 1, 6, 1, 10, 6, 6, 6, 2, 6, 1, 2, 6, 10, 1, 6, 2, 6, 1, 1, 2, 10, 1, 2, 1, 6, 1, 10, 10, 6, 10, 2, 6, 1, 6, 10, 6, 1, 1, 2, 1, 9, 6, 1, 6, 10, 6, 10, 10, 6, 10, 6, 1, 6, 6, 2, 2, 1, 10, 1, 10, 6, 6, 1, 10, 10, 6, 2, 1, 1, 2, 6, 10, 2, 6, 1, 10, 2, 10, 2, 6, 6, 6, 2, 1, 6, 6, 1, 6, 2, 1, 1, 2, 10, 10, 6, 1, 2, 1, 10, 1, 10, 2, 9, 6, 2, 9, 2, 6, 1, 2, 2, 6, 5, 2, 10, 1, 6, 10, 10, 0, 2, 10, 2, 2, 6, 10, 2, 10, 1, 10, 10, 6, 10, 6, 1, 2, 2, 2, 0, 2, 10, 2, 1, 6, 2, 6, 10, 6, 1, 1, 10, 2, 10, 10, 1, 1, 2, 2, 2, 2, 1, 10, 6, 10, 6, 10, 10, 9, 10, 10, 6, 6, 6, 10, 1, 2, 2, 6, 1, 2, 10, 1, 1, 2, 1, 1, 2, 6, 2, 6, 2, 6, 10, 10, 6, 6, 2, 6, 1, 10, 2, 6, 2, 1, 0, 10, 10, 2, 10, 2, 6, 1, 10, 1, 6, 2, 2, 1, 2, 5, 6, 1, 6, 10, 1, 6, 6, 6, 2, 6, 2, 6, 6, 2, 10, 10, 10, 2, 6, 4, 6, 10, 1, 2, 1, 10, 1, 10, 10, 1, 6, 10, 6, 6, 1, 1, 1, 6, 6, 10, 2, 6, 2, 10, 6, 6, 10, 10, 2, 1, 5, 1, 6, 2, 6, 6, 10, 2, 10, 6, 2, 1, 1, 2, 2, 10, 2, 5, 10, 2, 1, 1, 1, 2, 10, 10, 6, 2, 6, 10, 1, 10, 6, 2, 1, 10, 10, 6, 1, 1, 1, 5, 1, 10, 2, 6, 6, 10, 10, 6, 10, 6, 2, 2, 6, 10, 10, 10, 2, 1, 10, 10, 1, 2, 10, 6, 10, 1, 10, 10, 1, 2, 1, 10, 6, 1, 2, 1, 1, 2, 1, 10, 1, 1, 10, 1, 2, 1, 5, 1, 9, 10, 10, 10, 10, 2, 1, 2, 9, 6, 10, 2, 10, 1, 1, 6, 6, 10, 9, 1, 6, 6, 1, 10, 10, 10, 10, 5, 2, 0, 10, 6, 1, 6, 2, 6, 10, 6, 10, 2, 2, 10, 10, 10, 2, 2, 10, 1, 10, 10, 2, 6, 2, 1, 1, 1, 2, 1, 6, 10, 10, 1, 1, 10, 2, 6, 2, 2, 6, 1, 10, 2, 1, 10, 10, 2, 1, 10, 6, 6, 1, 1, 10, 1, 1, 6, 10, 2, 1, 10, 1, 10, 2, 2, 2, 6, 1, 2, 6, 2, 10, 10, 6, 1, 2, 10, 1, 1, 2, 10, 6, 5, 9, 2, 1, 10, 1, 1, 10, 2, 6, 10, 6, 10, 6, 6, 2, 1, 10, 10, 6, 10, 6, 1, 6, 2, 5, 2, 10, 1, 1, 2, 6, 1, 2, 2, 6, 2, 1, 10, 1, 1, 6, 6, 6, 2, 10, 1, 6, 10, 10, 6, 2, 6, 1, 1, 6, 10, 6, 1, 2, 6, 2, 10, 1, 2, 10, 10, 1, 10, 6, 1, 1, 1, 2, 2, 6, 1, 6, 1, 1, 6, 2, 10, 10, 2, 6, 1, 10, 6, 10, 1, 2, 6, 2, 10, 5, 4, 1, 6, 2, 10, 6, 6, 2, 6, 2, 1, 6, 10, 6, 1, 2, 1, 1, 10, 2, 6, 10, 2, 1, 10, 1, 6, 2, 10, 2, 2, 10, 1, 10, 10, 2, 6, 6, 6, 1, 10, 1, 6, 2, 1, 5, 0, 2, 6, 1, 1, 2, 2, 1, 10, 1, 2, 2, 1, 10, 10, 10, 10, 2, 2, 1, 2, 1, 10, 2, 1, 10, 10, 6, 6, 2, 2, 1, 4, 2, 2, 6, 6, 6, 10, 6, 6, 2, 6, 2, 1, 10, 6, 10, 6, 10, 6, 10, 2, 2, 6, 6, 5, 6, 6, 2, 2, 1, 2, 5, 10, 1, 6, 6, 1, 2, 10, 10, 6, 2, 10, 5, 1, 1, 2, 6, 6, 10, 1, 1, 10, 6, 6, 6, 1, 2, 1, 2, 4, 2, 2, 8, 6, 1, 6, 10, 10, 10, 6, 10, 6, 1, 2, 1, 2, 6, 6, 6, 6, 10, 2, 6, 6, 4, 1, 2, 6, 1, 1, 10, 0, 10, 10, 10, 10, 1, 2, 4, 6, 2, 6, 1, 1, 6, 10, 10, 6, 6, 1, 4, 6, 1, 10, 6, 6, 2, 2, 1, 2, 10, 1, 6, 10, 4, 2, 10, 10, 6, 10, 1, 6, 6, 1, 4, 1, 10, 2, 50, 10, 10, 1, 6, 2, 2, 2, 2, 1, 6, 0, 1, 2, 6, 6, 6, 2, 10, 6, 1, 6, 2, 1, 2, 6, 2, 1, 6, 10, 1, 1, 2, 10, 2, 6, 1, 2, 10, 10, 6, 6, 2, 2, 1, 10, 0, 6, 10, 6, 2, 2, 10, 6, 1, 2, 2, 10, 10, 2, 6, 10, 5, 6, 10, 6, 1, 6, 6, 2, 2, 1, 10, 2, 1, 1, 6, 1, 6, 6, 2, 6, 9, 2, 2, 1, 2, 2, 10, 1, 1, 10, 6, 2, 1, 6, 6, 2, 1, 1, 6, 2, 6, 1, 10, 6, 1, 1, 2, 6, 6, 1, 10, 10, 5, 6, 1, 9, 2, 10, 2, 10, 1, 6, 2, 2, 2, 6, 1, 6, 10, 2, 10, 1, 6, 6, 1, 1, 2, 1, 2, 10, 6, 10, 1, 2, 1, 6, 2, 2, 10, 10, 2, 6, 2, 10, 2, 10, 10, 2, 2, 6, 10, 2, 2, 1, 2, 6, 1, 1, 2, 2, 2, 2, 6, 10, 6, 6, 1, 2, 10, 2, 6, 6, 1, 10, 1, 6, 10, 1, 2, 10, 1, 2, 10, 2, 1, 6, 2, 10, 6, 6, 2, 2, 6, 1, 6, 5, 10, 0, 2, 2, 6, 10, 10, 2, 9, 6, 2, 10, 1, 6, 2, 2, 2, 10, 1, 1, 10, 6, 1, 2, 2, 2, 10, 1, 6, 2, 1, 6, 2, 1, 6, 1, 10, 2, 2, 1, 1, 10, 1, 10, 10, 6, 2, 6, 1, 6, 10, 10, 9, 10, 10, 1, 1, 6, 10, 10, 2, 2, 2, 1, 1, 4, 1, 10, 1, 10, 10, 1, 10, 2, 6, 2, 6, 1, 2, 6, 6, 6, 1, 6, 1, 10, 2, 6, 2, 6, 2, 1, 1, 10, 6, 6, 2, 1, 6, 0, 2, 1, 6, 6, 6, 2, 1, 1, 6, 2, 2, 10, 10, 10, 10, 10, 2, 10, 6, 1, 6, 2, 1, 10, 6, 1, 6, 10, 10, 10, 6, 10, 10, 5, 1, 10, 6, 6, 6, 2, 1, 4, 6, 10, 2, 6, 1, 1, 1, 6, 10, 6, 5, 1, 10, 1, 2, 10, 1, 10, 2, 1, 0, 10, 2, 10, 10, 6, 1, 1, 6, 2, 6, 2, 6, 10, 6, 2, 1, 10, 10, 10, 1, 10, 2, 0, 2, 6, 10, 2, 10, 6, 10, 6, 10, 1, 6, 10, 6, 2, 10, 6, 1, 2, 1, 10, 2, 10, 2, 10, 2, 6, 10, 1, 1, 1, 1, 10, 6, 2, 1, 10, 6, 1, 2, 10, 1, 1, 6, 2, 2, 6, 10, 6, 6, 6, 6, 0, 6, 6, 6, 2, 10, 0, 2, 2, 1, 1, 1, 1, 10, 2, 10, 10, 10, 6, 10, 6, 10, 2, 2, 6, 6, 2, 6, 10, 6, 6, 6, 1, 2, 2, 1, 0, 6, 10, 6, 6, 1, 2, 1, 2, 6, 2, 1, 2, 1, 2, 6, 6, 6, 2, 1, 10, 6, 10, 2, 10, 6, 6, 6, 6, 6, 10, 10, 2, 6, 4, 10, 6, 2, 10, 6, 1, 6, 10, 2, 1, 10, 2, 2, 1, 2, 1, 2, 10, 10, 10, 9, 10, 10, 6, 1, 6, 10, 6, 6, 2, 5, 10, 6, 6, 10, 1, 6, 1, 6, 2, 1, 10, 10, 4, 0, 10, 1, 1, 6, 2, 2, 2, 1, 1, 6, 10, 1, 1, 1, 1, 6, 6, 6, 6, 2, 10, 1, 10, 10, 1, 1, 6, 6, 1, 6, 1, 2, 10, 1, 1, 6, 6, 1, 6, 6, 2, 6, 2, 10, 1, 6, 10, 6, 1, 2, 10, 6, 0, 6, 2, 4, 2, 1, 6, 6, 1, 10, 2, 6, 6, 6, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 10, 10, 6, 1, 6, 6, 6, 5, 10, 10, 2, 6, 6, 1, 10, 1, 2, 2, 1, 10, 6, 10, 6, 10, 10, 6, 10, 1, 4, 1, 6, 1, 2, 10, 10, 6, 1, 2, 2, 6, 6, 2, 10, 1, 1, 6, 2, 2, 10, 1, 1, 10, 2, 1, 10, 10, 6, 1, 10, 6, 6, 6, 2, 6, 6, 6, 10, 2, 2, 6, 10, 2, 10, 2, 1, 1, 6, 10, 1, 2, 2, 10, 1, 10, 2, 6, 1, 2, 2, 10, 10, 6, 1, 10, 6, 1, 6, 10, 1, 2, 10, 1, 10, 10, 2, 10, 1, 1, 2, 6, 2, 6, 6, 10, 10, 10, 2, 1, 2, 2, 2, 10, 6, 1, 10, 6, 6, 2, 6, 10, 2, 6, 10, 6, 1, 1, 1, 2, 6, 6, 10, 6, 2, 1, 6, 4, 1, 2, 2, 9, 2, 6, 1, 2, 10, 1, 1, 2, 10, 4, 6, 0, 1, 10, 1, 1, 1, 10, 2, 1, 1, 1, 10, 9, 10, 10, 6, 1, 6, 6, 1, 0, 1, 6, 6, 2, 2, 2, 1, 1, 4, 6, 2, 10, 1, 1, 6, 6, 2, 6, 1, 10, 1, 1, 2, 6, 2, 6, 10, 2, 50, 1, 2, 1, 1, 6, 10, 6, 1, 2, 2, 10, 1, 1, 6, 1, 2, 6, 6, 6, 1, 2, 2, 10, 1, 1, 6, 50, 1, 1, 2, 10, 2, 1, 6, 10, 40, 10, 0, 10, 6, 2, 10, 1, 10, 1, 6, 6, 4, 2, 2, 2, 2, 2, 10, 1, 1, 1, 2, 1, 10, 5, 6, 6, 2, 1, 6, 10, 10, 2, 6, 10, 6, 2, 1, 2, 2, 6, 1, 2, 2, 1, 10, 2, 10, 10, 1, 10, 1, 1, 2, 6, 2, 10, 10, 6, 1, 6, 1, 6, 2, 1, 1, 10, 1, 1, 1, 6, 1, 2, 2, 2, 6, 2, 1, 2, 10, 2, 6, 10, 10, 1, 10, 10, 2, 2, 10, 6, 1, 2, 6, 10, 1, 2, 1, 6, 1, 1, 2, 1, 6, 10, 6, 6, 2, 2, 6, 10, 10, 6, 1, 1, 10, 10, 10, 2, 6, 2, 10, 10, 10, 6, 10, 10, 2, 2, 2, 10, 1, 1, 2, 6, 2, 2, 10, 10, 10, 2, 1, 10, 0, 2, 6, 6, 1, 4, 1, 6, 10, 2, 10, 2, 1, 10, 6, 6, 2, 6, 1, 1, 1, 6, 2, 10, 2, 2, 2, 1, 6, 6, 2, 10, 1, 6, 2, 10, 6, 6, 2, 1, 2, 6, 10, 2, 6, 10, 6, 1, 1, 6, 6, 1, 10, 2, 2, 1, 10, 10, 6, 2, 2, 6, 10, 10, 10, 2, 6, 4, 1, 10, 10, 10, 2, 2, 6, 1, 1, 6, 10, 2, 6, 6, 6, 1, 10, 6, 1, 2, 1, 10, 2, 6, 6, 2, 10, 2, 1, 1, 6, 6, 6, 10, 2, 6, 10, 2, 1, 6, 6, 0, 1, 2, 2, 2, 6, 2, 1, 2, 10, 1, 1, 1, 6, 4, 2, 1, 6, 10, 6, 1, 6, 6, 2, 6, 6, 10, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 6, 2, 10, 10, 10, 6, 1, 2, 2, 1, 2, 2, 10, 9, 10, 10, 2, 10, 10, 6, 10, 6, 6, 1, 1, 6, 10, 1, 1, 6, 10, 1, 6, 6, 10, 1, 1, 10, 6, 6, 10, 1, 2, 2, 10, 2, 10, 6, 6, 1, 2, 2, 10, 6, 1, 6, 2, 2, 10, 2, 2, 1, 1, 1, 2, 2, 1, 1, 6, 10, 1, 2, 10, 6, 1, 10, 1, 2, 2, 10, 10, 6, 6, 2, 2, 10, 1, 2, 1, 2, 2, 10, 10, 2, 2, 6, 6, 10, 1, 2, 2, 1, 10, 2, 2, 1, 6, 1, 1, 10, 2, 9, 10, 6, 10, 10, 6, 2, 10, 2, 6, 1, 2, 10, 1, 2, 6, 6, 2, 10, 1, 10, 1, 1, 1, 6, 6, 1, 2, 2, 2, 1, 10, 1, 10, 10, 1, 10, 1, 2, 10, 6, 1, 10, 2, 1, 6, 6, 6, 2, 1, 1, 10, 1, 10, 10, 10, 6, 1, 10, 6, 1, 2, 2, 6, 1, 1, 10, 1, 2, 1, 10, 10, 10, 10, 10, 1, 6, 10, 1, 2, 10, 6, 2, 2, 6, 10, 1, 6, 6, 10, 1, 2, 1, 10, 2, 2, 10, 1, 40, 10, 10, 1, 2, 2, 2, 1, 10, 10, 10, 2, 10, 6, 6, 6, 2, 2, 1, 2, 10, 6, 6, 2, 10, 1, 6, 2, 10, 10, 6, 6, 6, 10, 1, 1, 1, 6, 2, 10, 1, 9, 10, 1, 6, 2, 1, 6, 10, 1, 2, 1, 10, 1, 1, 6, 6, 6, 10, 2, 5, 10, 10, 2, 6, 1, 10, 1, 6, 9, 2, 10, 1, 2, 10, 1, 1, 10, 10, 1, 6, 6, 6, 10, 10, 5, 6, 2, 6, 2, 10, 2, 1, 1, 6, 6, 10, 6, 2, 6, 10, 2, 10, 6, 10, 2, 6, 2, 1, 6, 2, 6, 2, 6, 6, 1, 2, 1, 2, 6, 10, 6, 6, 6, 1, 1, 6, 10, 2, 2, 6, 2, 6, 6, 6, 6, 1, 10, 1, 6, 1, 2, 10, 6, 1, 6, 10, 1, 10, 10, 2, 2, 2, 10, 6, 6, 1, 2, 10, 2, 2, 2, 2, 2, 2, 1, 6, 6, 10, 2, 2, 1, 6, 2, 2, 6, 1, 10, 6, 1, 6, 6, 6, 1, 10, 10, 2, 2, 10, 10, 6, 2, 10, 6, 1, 6, 6, 2, 10, 6, 10, 6, 10, 10, 6, 10, 2, 1, 1, 6, 10, 2, 1, 10, 2, 10, 2, 1, 1, 6, 6, 10, 10, 2, 6, 2, 2, 2, 2, 1, 9, 6, 6, 10, 6, 6, 1, 4, 1, 6, 1, 6, 6, 6, 1, 6, 2, 10, 10, 6, 10, 6, 1, 1, 10, 6, 10, 6, 6, 6, 2, 6, 2, 1, 2, 2, 1, 6, 10, 10, 2, 6, 1, 10, 10, 10, 1, 1, 2, 2, 6, 2, 10, 1, 2, 6, 6, 6, 2, 10, 10, 10, 2, 1, 6, 10, 1, 6, 2, 1, 2, 1, 2, 2, 1, 1, 10, 6, 2, 10, 2, 6, 2, 1, 2, 6, 1, 2, 6, 2, 1, 1, 10, 6, 1, 1, 6, 10, 2, 1, 10, 2, 6, 6, 10, 1, 2, 10, 6, 1, 6, 1, 1, 10, 1, 10, 10, 0, 2, 10, 6, 10, 10, 6, 6, 10, 10, 6, 2, 10, 6, 10, 10, 1, 6, 2, 10, 10, 6, 1, 10, 6, 2, 0, 1, 6, 2, 1, 1, 6, 10, 6, 1, 1, 0, 2, 10, 10, 1, 10, 10, 6, 1, 2, 6, 2, 10, 6, 10, 6, 2, 2, 6, 6, 10, 2, 2, 6, 2, 10, 2, 10, 10, 10, 6, 6, 2, 10, 1, 6, 1, 10, 10, 2, 10, 6, 2, 6, 6, 6, 10, 9, 10, 1, 1, 10, 6, 1, 10, 10, 10, 2, 1, 1, 6, 2, 1, 6, 1, 2, 1, 6, 0, 10, 6, 1, 10, 6, 6, 1, 2, 10, 1, 10, 10, 2, 1, 1, 10, 1, 2, 10, 10, 6, 0, 2, 1, 6, 10, 10, 1, 1, 10, 10, 2, 6, 6, 2, 1, 10, 6, 2, 6, 6, 10, 6, 6, 10, 2, 2, 6, 1, 2, 4, 1, 2, 2, 2, 6, 1, 2, 6, 1, 10, 1, 10, 1, 10, 2, 6, 10, 1, 2, 1, 2, 6, 2, 2, 1, 6, 2, 6, 2, 1, 6, 10, 2, 10, 10, 1, 1, 10, 6, 9, 1, 1, 10, 1, 2, 1, 6, 6, 1, 1, 10, 2, 10, 2, 2, 10, 1, 6, 10, 6, 6, 10, 6, 10, 2, 10, 2, 6, 2, 10, 2, 1, 2, 10, 2, 1, 10, 10, 10, 10, 10, 6, 6, 2, 1, 2, 10, 2, 1, 6, 2, 1, 9, 1, 1, 10, 2, 2, 2, 2, 10, 0, 10, 2, 1, 1, 10, 1, 10, 10, 2, 10, 6, 2, 1, 2, 2, 2, 2, 1, 1, 1, 6, 1, 10, 6, 1, 2, 2, 10, 2, 6, 1, 1, 10, 6, 2, 1, 1, 2, 1, 10, 1, 2, 1, 6, 6, 1, 2, 1, 6, 10, 6, 1, 1, 2, 1, 1, 10, 10, 6, 10, 6, 6, 6, 5, 1, 10, 10, 1, 10, 1, 6, 2, 6, 2, 6, 1, 1, 10, 6, 2, 2, 6, 6, 6, 6, 10, 2, 2, 1, 2, 6, 10, 6, 6, 2, 6, 1, 1, 6, 2, 1, 2, 1, 2, 10, 1, 10, 4, 10, 6, 6, 2, 0, 1, 10, 2, 6, 1, 0, 6, 10, 2, 6, 2, 6, 1, 1, 6, 6, 2, 1, 2, 6, 1, 1, 2, 10, 6, 2, 6, 2, 6, 1, 10, 1, 1, 10, 1, 10, 2, 1, 1, 2, 6, 10, 9, 6, 6, 10, 1, 1, 10, 6, 6, 1, 6, 10, 1, 1, 6, 2, 10, 1, 6, 1, 6, 10, 1, 1, 1, 10, 2, 2, 2, 1, 1, 1, 2, 1, 10, 2, 6, 10, 2, 1, 6, 5, 2, 10, 6, 10, 2, 6, 1, 10, 1, 1, 10, 1, 6, 6, 1, 1, 1, 2, 2, 10, 10, 2, 2, 1, 10, 1, 6, 10, 10, 5, 1, 1, 2, 10, 1, 1, 10, 10, 2, 10, 2, 10, 2, 6, 6, 2, 1, 2, 10, 1, 2, 1, 6, 2, 6, 2, 10, 9, 6, 1, 1, 2, 10, 10, 4, 2, 2, 6, 1, 6, 10, 6, 1, 2, 2, 1, 6, 10, 2, 6, 10, 2, 2, 6, 10, 6, 4, 10, 6, 1, 1, 6, 2, 1, 2, 2, 1, 1, 10, 6, 1, 1, 10, 1, 1, 1, 2, 2, 10, 6, 6, 2, 10, 6, 6, 1, 2, 2, 1, 10, 6, 2, 10, 2, 2, 6, 6, 1, 6, 1, 1, 2, 6, 1, 6, 10, 2, 1, 6, 10, 2, 1, 1, 1, 2, 10, 10, 6, 1, 6, 1, 1, 6, 10, 2, 6, 10, 6, 6, 10, 6, 1, 10, 1, 1, 10, 1, 6, 10, 10, 1, 2, 10, 10, 6, 8, 10, 1, 10, 2, 2, 2, 10, 2, 10, 1, 2, 10, 10, 6, 10, 1, 10, 1, 10, 6, 2, 6, 2, 5, 6, 1, 2, 10, 2, 2, 5, 10, 1, 10, 2, 2, 1, 1, 2, 1, 2, 6, 6, 1, 2, 6, 6, 10, 1, 6, 2, 6, 6, 1, 6, 8, 6, 2, 5, 1, 10, 6, 2, 1, 10, 2, 2, 2, 9, 10, 6, 1, 2, 2, 10, 6, 6, 2, 2, 6, 6, 10, 6, 1, 2, 2, 6, 9, 1, 10, 6, 1, 2, 0, 2, 4, 10, 1, 6, 2, 2, 2, 6, 2, 10, 6, 10, 10, 10, 6, 4, 2, 2, 10, 9, 2, 10, 6, 6, 10, 6, 1, 1, 10, 10, 1, 10, 10, 2, 1, 10, 1, 2, 2, 10, 10, 1, 1, 6, 5, 2, 6, 1, 1, 10, 2, 1, 2, 6, 6, 2, 6, 10, 1, 6, 6, 3, 1, 1, 10, 1, 1, 6, 1, 6, 1, 6, 1, 6, 2, 2, 10, 10, 6, 2, 1, 6, 10, 2, 1, 6, 10, 6, 1, 10, 10, 2, 1, 10, 2, 2, 6, 1, 2, 1, 10, 6, 1, 2, 2, 1, 2, 1, 6, 1, 2, 10, 10, 2, 6, 2, 2, 2, 10, 1, 2, 10, 6, 10, 1, 1, 2, 6, 2, 10, 2, 10, 10, 6, 1, 1, 6, 2, 2, 2, 10, 2, 6, 1, 1, 10, 10, 6, 1, 1, 2, 6, 1, 6, 6, 10, 10, 1, 2, 10, 6, 2, 1, 2, 1, 10, 6, 9, 2, 1, 2, 6, 1, 2, 1, 10, 10, 10, 2, 1, 5, 1, 1, 2, 1, 6, 2, 10, 10, 6, 6, 6, 1, 10, 10, 6, 2, 6, 10, 10, 2, 10, 6, 2, 10, 6, 10, 2, 10, 1, 10, 6, 6, 10, 10, 9, 2, 6, 6, 6, 10, 6, 10, 1, 2, 6, 10, 2, 6, 9, 6, 9, 1, 6, 1, 6, 10, 10, 2, 1, 2, 1, 2, 2, 10, 2, 10, 0, 10, 10, 1, 1, 6, 2, 6, 6, 6, 1, 2, 10, 1, 6, 6, 6, 1, 10, 10, 2, 10, 1, 6, 2, 6, 6, 1, 2, 2, 6, 6, 1, 10, 2, 4, 10, 6, 2, 1, 6, 6, 1, 10, 2, 10, 1, 2, 2, 2, 1, 10, 10, 2, 10, 10, 2, 10, 2, 6, 6, 2, 6, 6, 2, 1, 2, 10, 2, 9, 1, 6, 6, 6, 10, 10, 2, 6, 6, 10, 10, 2, 10, 10, 10, 1, 6, 1, 2, 2, 10, 1, 10, 1, 1, 6, 2, 1, 10, 1, 6, 2, 10, 2, 2, 10, 10, 10, 10, 10, 1, 10, 2, 2, 10, 10, 2, 10, 2, 1, 4, 1, 6, 10, 5, 2, 2, 6, 10, 10, 1, 2, 6, 1, 1, 6, 6, 10, 6, 1, 10, 1, 1, 2, 6, 6, 1, 2, 6, 1, 6, 1, 1, 6, 2, 6, 1, 10, 6, 6, 2, 6, 6, 6, 1, 10, 2, 1, 2, 5, 1, 6, 10, 6, 1, 2, 6, 2, 6, 1, 10, 6, 6, 1, 10, 2, 2, 1, 6, 10, 6, 6, 6, 2, 6, 10, 10, 2, 1, 10, 10, 2, 1, 2, 2, 1, 10, 6, 1, 6, 10, 10, 10, 10, 6, 2, 10, 6, 6, 10, 10, 1, 2, 10, 2, 10, 10, 2, 10, 6, 2, 1, 10, 10, 6, 2, 6, 6, 10, 6, 10, 1, 4, 2, 1, 1, 2, 10, 2, 10, 1, 6, 2, 6, 9, 10, 6, 2, 10, 10, 10, 6, 6, 1, 1, 1, 10, 2, 10, 2, 1, 2, 10, 10, 10, 1, 6, 1, 2, 2, 4, 6, 2, 1, 10, 10, 6, 2, 6, 6, 1, 1, 6, 10, 6, 10, 1, 1, 1, 2, 1, 1, 10, 2, 6, 2, 10, 6, 2, 1, 2, 6, 2, 2, 2, 10, 10, 1, 10, 6, 2, 10, 6, 1, 6, 10, 10, 2, 10, 2, 2, 6, 1, 10, 2, 10, 4, 1, 6, 2, 6, 2, 6, 2, 10, 10, 1, 2, 10, 10, 10, 2, 10, 10, 2, 1, 6, 10, 2, 6, 6, 10, 1, 6, 1, 6, 5, 1, 2, 1, 10, 6, 10, 2, 10, 1, 2, 2, 6, 1, 6, 4, 2, 6, 9, 1, 1, 2, 1, 2, 10, 2, 2, 10, 6, 1, 1, 2, 6, 6, 1, 6, 10, 1, 6, 1, 6, 10, 1, 10, 1, 10, 1, 2, 1, 10, 1, 6, 6, 2, 2, 10, 1, 1, 10, 9, 10, 2, 9, 10, 1, 2, 1, 1, 10, 6, 10, 10, 10, 1, 10, 10, 9, 6, 1, 6, 6, 6, 2, 1, 1, 2, 6, 2, 2, 2, 1, 1, 6, 2, 1, 6, 6, 10, 1, 6, 2, 6, 10, 6, 10, 1, 6, 2, 6, 1, 2, 6, 6, 1, 10, 6, 0, 2, 2, 1, 10, 6, 2, 10, 10, 6, 6, 4, 10, 6, 6, 6, 6, 2, 2, 10, 2, 0, 6, 1, 10, 1, 2, 10, 1, 2, 6, 1, 1, 6, 6, 6, 2, 10, 1, 2, 10, 1, 10, 10, 10, 2, 1, 2, 6, 1, 6, 6, 2, 2, 2, 6, 1, 6, 2, 10, 1, 6, 1, 2, 6, 10, 1, 5, 10, 1, 10, 10, 1, 2, 2, 1, 10, 5, 6, 10, 6, 5, 10, 10, 2, 10, 1, 2, 1, 2, 6, 6, 1, 1, 10, 2, 2, 1, 2, 10, 2, 2, 2, 2, 1, 6, 2, 1, 10, 6, 2, 6, 6, 2, 1, 4, 6, 10, 2, 1, 1, 2, 2, 2, 1, 1, 1, 6, 2, 2, 10, 0, 6, 2, 6, 2, 10, 2, 1, 2, 10, 10, 1, 10, 6, 9, 10, 2, 1, 2, 1, 1, 10, 6, 0, 1, 6, 5, 1, 10, 2, 2, 6, 6, 10, 2, 2, 1, 10, 10, 2, 6, 10, 10, 1, 6, 0, 10, 6, 2, 1, 1, 6, 10, 6, 2, 6, 1, 10, 10, 1, 10, 1, 2, 1, 1, 2, 6, 10, 6, 6, 1, 2, 6, 2, 6, 10, 10, 2, 6, 2, 10, 10, 1, 1, 10, 2, 10, 2, 1, 2, 1, 6, 10, 6, 1, 6, 1, 2, 10, 1, 6, 10, 6, 4, 2, 2, 6, 2, 2, 1, 2, 1, 10, 2, 2, 1, 1, 6, 2, 1, 1, 10, 2, 10, 1, 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2, 10, 2, 10, 5, 1, 1, 2, 1, 6, 2, 10, 10, 1, 1, 6, 2, 6, 2, 10, 6, 1, 2, 1, 10, 2, 1, 2, 2, 6, 10, 10, 10, 6, 0, 2, 1, 2, 10, 10, 10, 2, 2, 2, 1, 2, 1, 10, 10, 2, 2, 1, 2, 1, 2, 6, 1, 2, 2, 4, 6, 6, 1, 9, 10, 1, 1, 1, 2, 10, 1, 1, 1, 6, 2, 6, 10, 6, 10, 6, 1, 2, 10, 6, 2, 6, 1, 2, 1, 2, 1, 10, 2, 6, 10, 2, 1, 10, 10, 6, 1, 1, 6, 10, 6, 6, 6, 6, 10, 6, 6, 10, 2, 10, 2, 6, 1, 1, 5, 1, 6, 1, 2, 10, 2, 1, 10, 1, 2, 6, 10, 10, 10, 10, 2, 1, 6, 10, 6, 2, 6, 1, 2, 6, 6, 6, 6, 6, 10, 10, 10, 6, 2, 2, 6, 1, 1, 6, 2, 10, 2, 2, 6, 2, 2, 10, 6, 2, 6, 6, 2, 1, 10, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 6, 1, 5, 2, 10, 2, 2, 1, 6, 1, 10, 2, 2, 10, 2, 1, 10, 6, 10, 6, 2, 10, 1, 6, 6, 1, 1, 10, 1, 1, 0, 6, 1, 2, 6, 6, 1, 1, 6, 1, 1, 10, 10, 2, 2, 10, 6, 2, 1, 10, 1, 2, 10, 10, 2, 10, 1, 6, 1, 2, 2, 2, 10, 1, 6, 10, 10, 1, 6, 10, 6, 1, 10, 0, 1, 2, 2, 1, 1, 2, 6, 10, 1, 1, 6, 6, 2, 2, 6, 10, 2, 10, 6, 2, 10, 1, 10, 2, 2, 1, 10, 10, 1, 6, 2, 2, 10, 1, 4, 6, 10, 1, 2, 10, 2, 1, 6, 6, 6, 6, 10, 2, 10, 10, 10, 1, 10, 6, 1, 1, 1, 6, 6, 10, 6, 1, 1, 10, 2, 10, 6, 1, 10, 2, 10, 10, 9, 2, 6, 1, 4, 2, 1, 2, 1, 6, 6, 2, 10, 6, 2, 4, 6, 6, 6, 10, 2, 6, 2, 1, 10, 2, 2, 10, 10, 6, 10, 1, 2, 1, 1, 2, 4, 6, 2, 1, 2, 1, 1, 2, 2, 2, 10, 2, 6, 10, 10, 2, 2, 1, 6, 6, 10, 6, 2, 2, 0, 10, 9, 10, 10, 1, 2, 10, 10, 6, 0, 6, 6, 6, 2, 10, 10, 1, 6, 10, 2, 1, 2, 1, 10, 1, 6, 1, 1, 2, 6, 2, 1, 2, 1, 2, 10, 1, 2, 2, 10, 1, 1, 1, 1, 1, 2, 1, 6, 10, 6, 2, 2, 1, 10, 2, 6, 10, 2, 2, 10, 10, 1, 6, 1, 2, 6, 6, 2, 1, 10, 1, 6, 2, 10, 2, 2, 6, 10, 2, 10, 6, 6, 2, 10, 1, 10, 6, 10, 6, 10, 1, 2, 10, 6, 10, 2, 10, 6, 6, 10, 6, 2, 5, 1, 6, 10, 1, 2, 6, 6, 10, 1, 1, 6, 1, 1, 2, 1, 1, 10, 1, 10, 2, 10, 10, 6, 1, 10, 0, 10, 6, 6, 2, 2, 6, 2, 1, 6, 1, 10, 6, 10, 10, 10, 2, 10, 1, 1, 1, 2, 2, 2, 6, 1, 2, 10, 2, 10, 2, 2, 1, 6, 6, 6, 10, 9, 6, 2, 10, 1, 10, 1, 0, 10, 10, 1, 1, 2, 0, 2, 2, 10, 10, 10, 2, 10, 6, 2, 6, 10, 1, 6, 2, 6, 2, 2, 1, 1, 1, 2, 1, 6, 2, 6, 1, 10, 6, 2, 2, 1, 1, 6, 2, 1, 2, 6, 2, 1, 2, 1, 10, 2, 6, 1, 6, 10, 1, 2, 6, 6, 10, 6, 10, 1, 2, 1, 10, 6, 2, 2, 2, 6, 2, 4, 2, 9, 10, 2, 2, 1, 6, 1, 9, 1, 6, 10, 10, 6, 10, 10, 2, 2, 1, 1, 1, 6, 1, 6, 10, 6, 10, 6, 6, 2, 2, 2, 2, 2, 1, 10, 1, 2, 2, 2, 10, 2, 10, 10, 1, 10, 6, 2, 1, 2, 6, 10, 6, 6, 10, 10, 6, 1, 6, 2, 6, 2, 2, 6, 1, 0, 10, 1, 10, 6, 2, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 10, 1, 2, 2, 6, 2, 6, 10, 10, 1, 10, 1, 1, 2, 10, 6, 2, 6, 6, 1, 2, 2, 2, 10, 1, 10, 2, 2, 6, 10, 1, 1, 6, 2, 1, 1, 0, 6, 1, 6, 2, 6, 1, 6, 2, 4, 1, 6, 1, 6, 6, 6, 2, 2, 2, 6, 2, 10, 2, 6, 2, 10, 10, 6, 6, 10, 10, 1, 6, 1, 6, 10, 1, 10, 10, 1, 6, 2, 6, 1, 10, 2, 1, 6, 1, 1, 2, 10, 1, 10, 10, 2, 1, 6, 2, 1, 1, 6, 1, 2, 2, 6, 1, 10, 2, 6, 1, 1, 10, 10, 1, 1, 1, 2, 6, 10, 2, 2, 10, 6, 10, 2, 2, 6, 6, 10, 10, 2, 6, 10, 10, 10, 1, 6, 2, 1, 10, 10, 1, 2, 1, 10, 1, 6, 1, 6, 2, 10, 2, 2, 2, 2, 2, 6, 10, 6, 6, 10, 6, 1, 2, 2, 2, 6, 6, 6, 2, 2, 10, 1, 2, 1, 6, 2, 6, 1, 2, 10, 2, 10, 1, 1, 2, 10, 2, 5, 10, 0, 1, 2, 1, 1, 1, 10, 10, 2, 2, 2, 4, 1, 1, 2, 10, 10, 2, 2, 6, 6, 5, 1, 10, 10, 6, 10, 10, 2, 10, 1, 2, 2, 2, 10, 2, 1, 6, 1, 2, 2, 6, 2, 2, 1, 1, 2, 2, 10, 10, 6, 10, 1, 10, 2, 1, 6, 10, 6, 6, 10, 1, 2, 10, 1, 6, 2, 6, 6, 1, 9, 4, 6, 6, 2, 6, 6, 1, 6, 2, 6, 2, 2, 2, 10, 1, 2, 10, 10, 6, 2, 6, 10, 2, 10, 4, 2, 6, 6, 2, 10, 10, 2, 1, 2, 1, 4, 1, 2, 10, 10, 6, 2, 1, 1, 10, 1, 6, 2, 1, 2, 0, 2, 2, 6, 2, 1, 1, 10, 1, 10, 6, 1, 6, 1, 6, 1, 1, 2, 1, 6, 2, 2, 1, 1, 10, 1, 6, 1, 10, 10, 2, 10, 6, 2, 6, 2, 6, 2, 10, 2, 2, 6, 60, 0, 10, 10, 1, 2, 2, 2, 10, 2, 1, 6, 6, 1, 1, 10, 10, 6, 1, 1, 10, 5, 2, 6, 1, 10, 10, 1, 6, 10, 2, 6, 2, 10, 10, 6, 10, 2, 2, 1, 1, 2, 10, 1, 1, 10, 2, 6, 1, 6, 1, 6, 4, 1, 1, 1, 6, 2, 6, 1, 1, 9, 1, 1, 2, 2, 1, 2, 2, 10, 2, 1, 1, 10, 6, 10, 1, 2, 1, 2, 1, 2, 10, 1, 6, 1, 1, 6, 5, 10, 1, 10, 10, 10, 10, 2, 4, 2, 2, 10, 2, 2, 2, 2, 2, 9, 1, 2, 6, 1, 2, 1, 6, 10, 10, 10, 5, 10, 2, 10, 1, 6, 10, 6, 10, 6, 1, 10, 10, 10, 6, 1, 6, 1, 10, 6, 2, 1, 2, 2, 6, 1, 1, 1, 1, 2, 1, 10, 1, 1, 2, 2, 4, 1, 6, 1, 10, 6, 1, 6, 10, 6, 10, 10, 6, 6, 2, 1, 1, 10, 2, 1, 6, 6, 1, 10, 6, 10, 2, 10, 10, 1, 10, 2, 10, 1, 2, 2, 2, 10, 10, 6, 1, 1, 2, 10, 6, 2, 1, 2, 2, 1, 6, 10, 10, 2, 6, 6, 10, 10, 1, 10, 10, 10, 2, 1, 0, 6, 6, 2, 2, 10, 2, 1, 1, 1, 10, 10, 10, 6, 2, 2, 1, 10, 10, 2, 1, 2, 10, 2, 6, 2, 10, 2, 10, 1, 10, 6, 9, 1, 10, 10, 1, 6, 2, 2, 6, 2, 2, 6, 10, 10, 6, 2, 2, 6, 2, 6, 4, 10, 2, 4, 2, 6, 1, 2, 1, 1, 10, 10, 6, 2, 2, 6, 6, 6, 2, 10, 6, 1, 2, 6, 1, 10, 10, 10, 10, 6, 6, 10, 6, 10, 1, 10, 1, 3, 6, 10, 6, 10, 4, 6, 6, 1, 1, 2, 6, 10, 2, 6, 6, 10, 10, 1, 6, 1, 10, 6, 2, 10, 8, 1, 9, 6, 10, 1, 1, 10, 1, 6, 6, 1, 1, 6, 2, 2, 6, 1, 2, 10, 10, 10, 2, 2, 2, 2, 6, 6, 6, 10, 2, 2, 1, 1, 6, 10, 4, 1, 6, 5, 10, 10, 6, 10, 2, 10, 1, 1, 10, 6, 1, 1, 1, 2, 10, 6, 1, 6, 6, 6, 1, 2, 2, 1, 1, 1, 1, 10, 2, 2, 2, 2, 6, 1, 2, 6, 6, 10, 2, 6, 2, 1, 10, 6, 2, 1, 10, 10, 10, 10, 1, 2, 2, 6, 6, 10, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 10, 1, 2, 1, 6, 1, 2, 10, 2, 2, 1, 10, 10, 2, 1, 2, 10, 6, 10, 10, 6, 10, 1, 6, 6, 5, 2, 2, 1, 10, 10, 0, 1, 10, 6, 1, 6, 6, 6, 2, 6, 1, 1, 1, 1, 6, 10, 10, 2, 1, 2, 2, 10, 1, 1, 6, 1, 6, 6, 6, 6, 6, 1, 2, 2, 2, 2, 1, 6, 1, 6, 2, 10, 1, 10, 1, 1, 10, 2, 10, 6, 2, 6, 10, 6, 10, 1, 1, 2, 1, 10, 10, 6, 2, 2, 6, 10, 2, 6, 10, 10, 1, 1, 2, 1, 2, 2, 10, 10, 10, 2, 1, 10, 6, 10, 6, 6, 10, 1, 1, 6, 6, 1, 10, 1, 10, 10, 10, 2, 10, 1, 2, 6, 6, 1, 10, 6, 1, 0, 2, 2, 6, 10, 10, 10, 10, 2, 1, 1, 2, 1, 1, 6, 10, 6, 6, 10, 2, 2, 2, 6, 6, 1, 10, 6, 1, 6, 2, 1, 10, 2, 10, 6, 10, 6, 2, 1, 4, 2, 2, 10, 6, 10, 1, 10, 1, 6, 6, 1, 1, 2, 10, 6, 6, 6, 6, 6, 1, 6, 1, 10, 6, 10, 1, 2, 2, 1, 2, 6, 1, 6, 2, 1, 10, 10, 6, 1, 2, 6, 10, 2, 6, 1, 1, 6, 2, 1, 10, 6, 2, 10, 6, 2, 1, 10, 2, 6, 10, 1, 2, 1, 6, 6, 10, 2, 10, 2, 2, 1, 10, 2, 10, 2, 6, 2, 10, 10, 2, 2, 6, 10, 2, 10, 10, 1, 1, 6, 6, 6, 10, 10, 6, 10, 6, 1, 10, 1, 10, 10, 10, 2, 2, 10, 10, 2, 2, 2, 10, 9, 6, 2, 1, 10, 1, 1, 1, 1, 10, 1, 4, 2, 2, 10, 1, 6, 10, 10, 1, 10, 1, 6, 2, 6, 2, 1, 6, 2, 10, 2, 2, 2, 6, 1, 6, 10, 1, 2, 6, 6, 2, 10, 2, 10, 6, 2, 10, 6, 2, 6, 6, 6, 2, 6, 2, 1, 2, 1, 2, 10, 6, 10, 1, 6, 2, 2, 6, 6, 1, 6, 10, 2, 10, 1, 6, 9, 6, 10, 6, 6, 2, 2, 1, 6, 6, 2, 10, 1, 2, 6, 10, 1, 10, 10, 6, 1, 4, 10, 2, 1, 2, 1, 6, 10, 2, 10, 5, 6, 2, 10, 6, 2, 4, 6, 0, 6, 10, 6, 6, 6, 10, 2, 10, 1, 10, 6, 6, 2, 2, 6, 10, 10, 10, 1, 10, 1, 6, 2, 10, 6, 10, 6, 6, 10, 10, 6, 10, 10, 2, 10, 1, 9, 10, 40, 6, 1, 10, 1, 2, 2, 6, 2, 2, 2, 1, 2, 2, 6, 1, 2, 10, 2, 10, 10, 2, 2, 1, 0, 2, 10, 6, 10, 1, 6, 1, 10, 2, 10, 2, 10, 1, 1, 2, 10, 10, 2, 1, 10, 0, 2, 1, 2, 2, 10, 10, 10, 1, 2, 2, 10, 2, 6, 6, 1, 2, 10, 6, 2, 10, 1, 1, 2, 10, 6, 2, 1, 2, 10, 1, 2, 10, 2, 1, 2, 1, 2, 10, 2, 6, 10, 10, 6, 1, 2, 1, 2, 10, 2, 2, 6, 2, 6, 1, 10, 1, 1, 10, 10, 10, 10, 10, 10, 2, 1, 2, 10, 10, 1, 6, 6, 1, 6, 6, 10, 10, 10, 6, 1, 1, 10, 10, 10, 2, 1, 10, 10, 1, 2, 1, 6, 1, 6, 2, 2, 2, 6, 1, 10, 6, 10, 1, 6, 10, 6, 2, 6, 6, 6, 6, 2, 2, 10, 2, 1, 10, 1, 10, 10, 10, 2, 1, 2, 10, 10, 2, 2, 1, 10, 10, 10, 10, 2, 6, 10, 10, 1, 10, 9, 4, 6, 2, 9, 2, 2, 1, 2, 10, 6, 6, 1, 10, 2, 1, 4, 6, 2, 10, 6, 2, 1, 9, 1, 10, 1, 10, 1, 1, 10, 1, 1, 1, 10, 1, 9, 1, 2, 2, 1, 1, 10, 6, 10, 6, 6, 6, 2, 6, 0, 6, 6, 1, 6, 2, 1, 1, 1, 1, 1, 10, 4, 1, 2, 10, 2, 6, 1, 10, 10, 6, 10, 2, 4, 1, 6, 9, 2, 1, 2, 0, 1, 2, 10, 6, 2, 2, 2, 2, 1, 6, 10, 10, 1, 2, 2, 2, 6, 1, 2, 10, 2, 1, 10, 1, 10, 6, 1, 2, 10, 1, 10, 6, 10, 2, 10, 1, 10, 10, 10, 6, 2, 2, 2, 2, 1, 10, 10, 6, 6, 2, 6, 2, 1, 1, 10, 2, 2, 6, 10, 10, 2, 6, 6, 1, 2, 6, 10, 1, 2, 1, 1, 10, 10, 2, 10, 2, 10, 1, 2, 6, 10, 6, 10, 6, 6, 6, 1, 10, 2, 1, 0, 2, 2, 2, 10, 10, 1, 2, 10, 1, 10, 6, 6, 2, 10, 6, 6, 1, 10, 2, 10, 6, 10, 6, 1, 1, 10, 4, 2, 1, 6, 1, 6, 6, 6, 2, 0, 6, 1, 10, 1, 6, 9, 1, 1, 10, 1, 2, 1, 2, 6, 6, 10, 2, 10, 10, 2, 2, 6, 1, 1, 2, 1, 2, 2, 10, 2, 6, 1, 10, 2, 1, 1, 1, 1, 10, 10, 1, 10, 6, 10, 2, 1, 2, 1, 2, 10, 1, 10, 2, 6, 6, 2, 10, 10, 6, 10, 2, 1, 10, 10, 1, 6, 6, 1, 10, 10, 2, 6, 2, 6, 2, 6, 2, 10, 10, 1, 1, 10, 10, 2, 10, 2, 6, 6, 1, 10, 1, 6, 10, 2, 2, 10, 2, 2, 6, 2, 2, 2, 5, 6, 6, 1, 10, 10, 1, 1, 10, 1, 10, 6, 6, 10, 2, 1, 2, 10, 2, 10, 10, 6, 6, 1, 10, 2, 2, 10, 1, 1, 6, 2, 10, 10, 2, 1, 6, 1, 6, 6, 2, 10, 1, 2, 10, 10, 2, 1, 6, 1, 2, 6, 1, 10, 2, 6, 1, 1, 6, 10, 10, 10, 2, 10, 10, 10, 6, 2, 10, 1, 10, 10, 6, 6, 1, 4, 2, 1, 6, 10, 6, 10, 1, 10, 10, 6, 1, 10, 10, 10, 1, 2, 10, 10, 1, 6, 0, 1, 10, 1, 6, 6, 2, 10, 10, 10, 10, 10, 1, 1, 10, 6, 10, 6, 10, 2, 6, 1, 1, 1, 1, 10, 1, 2, 50, 6, 2, 10, 10, 9, 1, 10, 10, 6, 6, 2, 1, 1, 2, 2, 6, 2, 10, 4, 2, 6, 6, 6, 2, 10, 6, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 6, 6, 2, 1, 2, 10, 10, 1, 6, 6, 4, 1, 10, 2, 10, 10, 2, 2, 1, 2, 6, 6, 1, 1, 1, 2, 2, 1, 1, 10, 10, 2, 6, 1, 2, 2, 6, 2, 1, 2, 6, 6, 1, 10, 2, 6, 10, 6, 10, 2, 1, 6, 2, 10, 2, 6, 1, 2, 2, 2, 2, 1, 6, 10, 6, 2, 10, 10, 6, 1, 6, 10, 6, 10, 2, 6, 2, 6, 1, 6, 2, 10, 1, 1, 6, 2, 10, 1, 2, 2, 9, 6, 2, 10, 6, 10, 2, 10, 2, 2, 10, 2, 2, 2, 6, 2, 1, 1, 2, 2, 10, 10, 1, 6, 1, 10, 6, 2, 6, 10, 6, 10, 1, 1, 1, 1, 6, 6, 1, 6, 6, 1, 6, 6, 10, 10, 1, 10, 2, 1, 10, 10, 1, 1, 1, 2, 2, 6, 10, 10, 1, 10, 6, 6, 10, 6, 10, 10, 6, 1, 10, 6, 10, 1, 6, 1, 2, 6, 1, 1, 2, 10, 2, 1, 10, 6, 10, 6, 10, 6, 2, 10, 1, 6, 10, 1, 2, 1, 10, 1, 2, 10, 10, 10, 2, 2, 10, 2, 10, 1, 6, 2, 6, 1, 6, 2, 2, 2, 2, 1, 10, 6, 10, 10, 2, 10, 6, 2, 1, 2, 2, 1, 10, 6, 10, 6, 6, 10, 10, 6, 6, 1, 6, 2, 2, 1, 1, 10, 10, 10, 6, 10, 2, 6, 2, 6, 6, 2, 2, 2, 6, 6, 10, 2, 2, 1, 10, 1, 10, 2, 10, 10, 1, 6, 4, 10, 1, 6, 4, 6, 6, 10, 2, 10, 2, 2, 1, 10, 4, 10, 10, 2, 2, 6, 6, 10, 10, 1, 2, 10, 1, 1, 10, 2, 2, 10, 2, 1, 6, 6, 2, 2, 6, 1, 1, 6, 6, 1, 1, 6, 10, 10, 6, 1, 6, 2, 2, 10, 6, 10, 1, 2, 2, 2, 6, 1, 2, 1, 6, 10, 6, 6, 10, 1, 2, 1, 2, 1, 1, 1, 2, 6, 6, 6, 6, 1, 6, 1, 1, 2, 10, 10, 1, 2, 10, 10, 1, 1, 1, 2, 10, 10, 2, 10, 6, 1, 1, 2, 2, 1, 10, 2, 6, 1, 6, 2, 1, 6, 2, 6, 2, 10, 2, 2, 6, 1, 6, 6, 6, 6, 6, 2, 1, 2, 1, 1, 10, 1, 10, 1, 1, 6, 6, 2, 10, 2, 6, 2, 1, 10, 6, 10, 10, 2, 10, 2, 5, 2, 6, 10, 1, 10, 10, 10, 10, 6, 2, 1, 6, 1, 2, 1, 10, 10, 1, 1, 2, 6, 2, 1, 2, 10, 6, 2, 5, 1, 6, 6, 5, 10, 4, 6, 10, 2, 2, 2, 6, 2, 10, 2, 1, 6, 2, 6, 1, 1, 4, 2, 6, 1, 10, 10, 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10, 10, 10, 1, 10, 10, 6, 2, 6, 1, 10, 2, 2, 1, 10, 2, 10, 10, 6, 10, 10, 6, 2, 1, 0, 1, 1, 6, 10, 10, 10, 1, 6, 10, 2, 1, 2, 1, 2, 2, 2, 1, 2, 10, 5, 1, 10, 6, 2, 6, 2, 1, 10, 1, 1, 1, 6, 6, 10, 1, 5, 10, 6, 6, 9, 2, 1, 1, 6, 2, 1, 6, 1, 2, 1, 1, 10, 1, 6, 10, 6, 1, 6, 10, 6, 6, 1, 10, 10, 10, 10, 10, 10, 6, 2, 1, 6, 2, 2, 1, 2, 6, 9, 6, 1, 6, 10, 1, 1, 2, 2, 2, 2, 1, 6, 1, 10, 10, 2, 1, 1, 2, 10, 2, 6, 2, 1, 4, 1, 10, 6, 10, 6, 1, 6, 2, 10, 6, 10, 2, 10, 10, 2, 6, 6, 2, 2, 10, 1, 1, 2, 2, 2, 2, 10, 6, 2, 1, 2, 6, 6, 6, 10, 1, 6, 6, 6, 2, 2, 1, 2, 6, 6, 10, 1, 2, 6, 6, 10, 6, 6, 2, 2, 6, 6, 1, 10, 10, 2, 10, 6, 1, 1, 10, 1, 2, 1, 1, 10, 6, 6, 6, 1, 1, 2, 10, 2, 1, 10, 2, 1, 1, 1, 10, 1, 2, 2, 1, 2, 1, 1, 1, 2, 10, 10, 1, 10, 1, 6, 1, 1, 2, 1, 1, 9, 10, 1, 1, 10, 1, 6, 1, 1, 6, 10, 6, 2, 2, 10, 6, 6, 1, 2, 10, 6, 10, 6, 1, 10, 1, 6, 5, 6, 1, 1, 6, 6, 2, 10, 1, 1, 2, 2, 2, 10, 6, 10, 6, 6, 1, 2, 6, 6, 10, 2, 1, 10, 10, 10, 10, 1, 2, 6, 2, 1, 10, 1, 10, 2, 1, 2, 8, 1, 1, 2, 1, 1, 10, 10, 6, 10, 1, 6, 1, 1, 6, 2, 10, 2, 10, 1, 1, 2, 6, 10, 10, 6, 10, 2, 10, 6, 2, 6, 6, 2, 2, 2, 6, 10, 2, 6, 1, 10, 2, 1, 6, 1, 6, 6, 1, 10, 6, 10, 6, 2, 10, 1, 6, 6, 2, 10, 6, 10, 6, 6, 1, 10, 1, 6, 1, 4, 2, 1, 2, 6, 1, 1, 1, 2, 6, 1, 1, 2, 10, 1, 2, 2, 10, 2, 10, 1, 2, 6, 6, 10, 6, 1, 2, 6, 6, 1, 10, 10, 10, 1, 2, 6, 10, 2, 6, 10, 5, 6, 2, 1, 50, 10, 6, 6, 10, 1, 2, 2, 6, 1, 2, 1, 2, 10, 10, 9, 10, 10, 10, 1, 6, 10, 6, 4, 6, 1, 2, 10, 1, 1, 10, 10, 6, 4, 1, 10, 6, 5, 1, 6, 2, 10, 10, 1, 6, 6, 2, 10, 10, 1, 1, 10, 2, 10, 10, 6, 1, 1, 6, 1, 5, 1, 2, 2, 10, 6, 1, 2, 1, 2, 6, 10, 6, 6, 6, 2, 5, 1, 2, 0, 6, 10, 2, 6, 10, 6, 1, 1, 6, 6, 10, 2, 6, 1, 6, 6, 6, 2, 2, 10, 2, 6, 1, 10, 2, 2, 6, 10, 6, 2, 1, 10, 6, 1, 10, 10, 10, 10, 10, 1, 6, 1, 1, 1, 6, 1, 2, 6, 2, 2, 10, 10, 2, 10, 2, 6, 2, 1, 6, 10, 1, 2, 6, 5, 1, 1, 2, 1, 2, 6, 6, 6, 10, 1, 6, 6, 1, 6, 6, 1, 6, 10, 6, 1, 6, 10, 10, 2, 2, 1, 10, 10, 10, 10, 1, 2, 1, 1, 4, 1, 2, 1, 1, 6, 6, 10, 1, 2, 6, 1, 10, 2, 1, 2, 4, 6, 6, 2, 10, 4, 10, 6, 6, 1, 10, 6, 2, 1, 6, 2, 1, 1, 1, 4, 6, 6, 5, 1, 2, 10, 2, 2, 6, 10, 1, 1, 10, 10, 2, 10, 10, 2, 6, 6, 1, 6, 10, 10, 10, 10, 10, 2, 2, 2, 10, 1, 10, 9, 6, 1, 6, 6, 10, 1, 1, 2, 6, 1, 10, 6, 5, 2, 1, 10, 6, 10, 10, 2, 10, 6, 2, 10, 1, 2, 1, 6, 2, 2, 6, 10, 10, 6, 2, 10, 2, 6, 2, 1, 2, 6, 6, 10, 2, 1, 6, 10, 10, 10, 6, 6, 6, 10, 1, 2, 1, 5, 10, 10, 6, 1, 10, 2, 2, 2, 1, 1, 1, 2, 2, 1, 10, 6, 6, 2, 6, 6, 6, 1, 6, 6, 6, 6, 2, 1, 6, 6, 2, 2, 6, 6, 1, 10, 2, 10, 6, 1, 10, 9, 6, 2, 1, 9, 1, 1, 1, 2, 2, 10, 4, 2, 2, 1, 2, 10, 1, 10, 6, 10, 6, 6, 10, 10, 6, 6, 6, 10, 10, 2, 10, 10, 1, 6, 6, 6, 2, 2, 10, 6, 6, 6, 1, 2, 9, 1, 6, 10, 6, 6, 6, 6, 10, 2, 1, 1, 6, 6, 6, 1, 10, 2, 2, 10, 2, 10, 10, 10, 2, 2, 6, 6, 1, 10, 1, 10, 1, 10, 6, 1, 10, 6, 6, 10, 5, 5, 2, 10, 1, 6, 6, 6, 1, 1, 2, 10, 10, 2, 1, 2, 10, 6, 2, 1, 2, 2, 1, 10, 2, 2, 6, 6, 1, 10, 1, 6, 10, 2, 6, 2, 6, 1, 2, 2, 1, 1, 6, 10, 10, 1, 1, 6, 6, 10, 10, 6, 1, 1, 2, 10, 6, 1, 10, 1, 10, 2, 1, 2, 2, 10, 6, 1, 2, 10, 6, 6, 6, 2, 10, 6, 6, 1, 6, 1, 2, 2, 2, 6, 10, 2, 2, 6, 1, 1, 1, 4, 10, 6, 2, 6, 10, 1, 10, 1, 1, 2, 10, 1, 10, 2, 6, 10, 1, 6, 10, 1, 10, 6, 10, 2, 1, 6, 10, 1, 6, 1, 6, 10, 1, 6, 10, 10, 10, 1, 10, 10, 6, 10, 10, 2, 6, 6, 2, 6, 1, 6, 6, 1, 6, 6, 6, 1, 2, 1, 10, 6, 6, 1, 6, 2, 1, 2, 2, 10, 2, 10, 6, 10, 1, 6, 4, 6, 6, 2, 10, 2, 6, 10, 10, 1, 6, 10, 1, 10, 6, 6, 6, 9, 10, 2, 6, 1, 2, 6, 6, 10, 10, 10, 10, 10, 1, 10, 2, 1, 10, 6, 1, 6, 6, 10, 1, 6, 6, 1, 2, 1, 2, 6, 1, 1, 1, 1, 2, 6, 6, 6, 2, 10, 2, 6, 2, 1, 2, 2, 6, 10, 1, 6, 2, 6, 1, 6, 1, 1, 2, 1, 2, 10, 2, 6, 10, 2, 6, 6, 1, 1, 6, 6, 1, 10, 1, 2, 1, 6, 2, 1, 1, 1, 2, 6, 6, 9, 10, 1, 1, 6, 6, 6, 10, 10, 6, 6, 6, 2, 1, 1, 6, 2, 10, 1, 10, 1, 10, 10, 2, 1, 2, 2, 6, 10, 1, 10, 10, 1, 1, 1, 10, 10, 1, 1, 10, 2, 2, 1, 6, 1, 1, 1, 2, 2, 10, 2, 6, 1, 6, 2, 10, 1, 2, 1, 2, 1, 1, 2, 6, 1, 6, 6, 1, 2, 2, 2, 10, 6, 2, 6, 1, 10, 1, 2, 1, 6, 6, 1, 2, 2, 2, 1, 1, 1, 6, 0, 6, 10, 10, 2, 2, 2, 6, 1, 2, 1, 6, 10, 6, 10, 10, 1, 10, 10, 1, 1, 10, 10, 10, 10, 10, 2, 2, 6, 10, 1, 10, 2, 10, 10, 10, 1, 2, 6, 2, 2, 2, 2, 2, 1, 10, 2, 2, 1, 2, 10, 2, 10, 4, 6, 1, 6, 2, 2, 2, 6, 1, 2, 2, 10, 1, 1, 6, 10, 10, 10, 2, 1, 2, 6, 2, 6, 10, 1, 2, 2, 6, 1, 6, 10, 6, 2, 6, 2, 6, 10, 10, 10, 6, 2, 10, 1, 10, 6, 5, 2, 2, 1, 10, 10, 10, 6, 2, 2, 2, 6, 2, 2, 1, 1, 10, 1, 6, 2, 1, 10, 2, 10, 1, 2, 1, 6, 1, 1, 0, 1, 2, 10, 10, 1, 5, 6, 10, 1, 1, 6, 1, 10, 6, 2, 2, 6, 10, 10, 1, 10, 2, 1, 1, 2, 1, 2, 10, 1, 1, 2, 2, 10, 6, 6, 2, 1, 6, 10, 6, 2, 1, 1, 10, 2, 2, 1, 10, 1, 10, 10, 6, 6, 10, 1, 1, 6, 6, 1, 1, 10, 10, 6, 6, 10, 1, 10, 6, 6, 1, 1, 10, 1, 6, 2, 6, 6, 1, 10, 1, 6, 1, 6, 2, 1, 9, 1, 10, 10, 10, 6, 2, 9, 1, 10, 6, 10, 10, 1, 6, 10, 1, 6, 10, 1, 2, 2, 1, 6, 2, 10, 10, 2, 4, 6, 1, 10, 6, 6, 2, 10, 0, 1, 2, 1, 1, 4, 6, 2, 1, 10, 1, 2, 10, 2, 4, 10, 10, 4, 1, 6, 2, 1, 1, 2, 1, 2, 10, 6, 10, 1, 10, 1, 2, 6, 10, 1, 6, 9, 2, 2, 9, 2, 4, 2, 1, 1, 1, 1, 10, 10, 10, 2, 6, 6, 10, 2, 2, 6, 6, 2, 6, 6, 6, 4, 6, 10, 6, 10, 6, 6, 10, 1, 2, 1, 6, 2, 10, 2, 1, 2, 6, 1, 2, 10, 2, 2, 1, 6, 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6, 6, 2, 2, 6, 5, 4, 1, 1, 4, 6, 10, 2, 2, 6, 10, 2, 10, 2, 1, 6, 6, 2, 6, 10, 6, 6, 1, 2, 1, 6, 10, 6, 10, 1, 10, 2, 6, 10, 1, 10, 2, 6, 1, 6, 1, 1, 2, 1, 10, 1, 1, 1, 1, 9, 2, 1, 1, 10, 6, 10, 2, 2, 6, 1, 6, 2, 10, 1, 10, 10, 1, 2, 2, 2, 1, 1, 6, 6, 6, 2, 10, 10, 6, 10, 6, 2, 10, 2, 6, 2, 10, 1, 2, 2, 6, 10, 2, 6, 10, 1, 6, 1, 2, 6, 2, 10, 2, 10, 1, 1, 10, 10, 1, 6, 6, 1, 10, 6, 1, 10, 6, 10, 10, 2, 6, 2, 6, 2, 6, 9, 10, 10, 1, 2, 10, 1, 2, 10, 2, 1, 10, 2, 6, 1, 1, 1, 4, 2, 1, 10, 10, 1, 10, 6, 1, 6, 10, 6, 6, 2, 2, 6, 10, 1, 10, 6, 2, 10, 1, 10, 10, 6, 2, 1, 2, 1, 10, 10, 6, 4, 1, 6, 10, 6, 2, 1, 10, 6, 10, 10, 10, 2, 9, 6, 10, 2, 6, 1, 6, 1, 10, 2, 10, 6, 2, 1, 6, 6, 0, 6, 6, 2, 10, 6, 2, 2, 1, 2, 6, 10, 6, 6, 10, 10, 2, 1, 10, 6, 6, 6, 2, 6, 6, 10, 6, 10, 1, 1, 6, 6, 1, 10, 10, 10, 10, 10, 10, 1, 10, 2, 2, 6, 10, 1, 6, 6, 1, 6, 6, 10, 6, 6, 2, 2, 6, 1, 1, 2, 1, 6, 10, 2, 10, 1, 10, 6, 6, 6, 6, 6, 1, 5, 6, 6, 10, 2, 6, 6, 2, 1, 10, 10, 6, 6, 2, 1, 10, 2, 1, 10, 2, 10, 6, 10, 1, 10, 10, 1, 2, 10, 1, 2, 1, 6, 6, 2, 1, 10, 10, 6, 10, 1, 6, 10, 1, 6, 6, 2, 9, 10, 6, 2, 1, 2, 10, 10, 10, 2, 1, 6, 6, 6, 10, 2, 1, 10, 1, 2, 10, 2, 1, 1, 10, 1, 10, 6, 2, 10, 6, 6, 10, 1, 0, 5, 2, 6, 6, 1, 6, 6, 10, 2, 1, 6, 2, 10, 2, 2, 2, 6, 2, 2, 6, 6, 10, 1, 6, 10, 2, 1, 6, 10, 2, 10, 2, 2, 2, 1, 6, 1, 2, 2, 10, 1, 2, 1, 1, 6, 6, 5, 6, 1, 10, 10, 2, 10, 6, 10, 6, 10, 10, 2, 2, 10, 2, 6, 2, 2, 2, 10, 10, 10, 1, 2, 2, 6, 1, 6, 6, 2, 2, 1, 10, 1, 6, 2, 6, 1, 1, 6, 10, 1, 10, 2, 6, 2, 6, 2, 2, 2, 2, 6, 10, 2, 2, 10, 10, 10, 6, 10, 1, 1, 2, 1, 2, 6, 1, 1, 6, 10, 6, 10, 6, 1, 6, 10, 2, 6, 1, 1, 1, 6, 1, 2, 10, 1, 1, 10, 2, 1, 6, 10, 1, 1, 10, 6, 2, 6, 6, 1, 1, 6, 2, 1, 1, 6, 1, 2, 2, 10, 1, 1, 6, 2, 10, 6, 10, 1, 10, 10, 6, 6, 6, 10, 1, 6, 10, 6, 6, 1, 6, 10, 10, 2, 2, 2, 1, 1, 10, 2, 1, 6, 1, 2, 6, 10, 10, 1, 1, 2, 6, 2, 2, 1, 6, 10, 2, 1, 1, 6, 10, 6, 1, 10, 10, 6, 6, 6, 10, 1, 6, 1, 10, 10, 6, 1, 4, 10, 6, 1, 6, 6, 2, 1, 9, 6, 10, 10, 6, 2, 1, 1, 10, 9, 6, 10, 1, 6, 2, 4, 9, 1, 1, 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6, 6, 1, 1, 6, 1, 6, 2, 2, 1, 1, 1, 6, 1, 6, 1, 2, 6, 10, 1, 1, 0, 10, 10, 10, 6, 10, 10, 2, 2, 6, 2, 2, 10, 2, 10, 1, 2, 10, 6, 2, 6, 6, 2, 10, 1, 6, 6, 2, 2, 10, 4, 2, 2, 10, 10, 10, 9, 10, 9, 2, 1, 2, 1, 10, 6, 9, 2, 10, 5, 6, 1, 1, 2, 2, 1, 2, 1, 1, 10, 1, 6, 1, 1, 4, 6, 4, 1, 1, 6, 1, 6, 2, 1, 1, 1, 10, 10, 2, 2, 6, 4, 1, 10, 10, 1, 6, 1, 6, 6, 6, 1, 10, 50, 6, 10, 6, 1, 2, 1, 2, 6, 10, 0, 1, 10, 2, 10, 1, 2, 1, 6, 2, 10, 1, 10, 10, 10, 2, 6, 1, 40, 6, 10, 9, 6, 10, 1, 2, 10, 6, 2, 10, 6, 10, 2, 5, 2, 10, 10, 10, 1, 10, 10, 6, 2, 2, 10, 1, 6, 6, 6, 10, 6, 1, 2, 1, 6, 6, 2, 2, 10, 10, 2, 10, 4, 2, 1, 1, 10, 6, 6, 6, 2, 6, 10, 10, 10, 1, 1, 6, 10, 10, 2, 6, 2, 2, 6, 1, 6, 1, 2, 2, 2, 2, 10, 2, 2, 10, 10, 10, 1, 1, 2, 1, 6, 2, 2, 6, 2, 1, 2, 1, 1, 6, 6, 6, 2, 6, 6, 6, 10, 10, 1, 10, 6, 1, 6, 10, 10, 1, 10, 6, 1, 6, 10, 1, 2, 10, 5, 1, 10, 2, 2, 1, 2, 10, 6, 1, 10, 2, 2, 6, 10, 10, 10, 2, 1, 10, 10, 10, 9, 2, 6, 10, 1, 1, 4, 2, 10, 6, 2, 2, 2, 1, 2, 10, 1, 2, 10, 1, 4, 1, 1, 6, 1, 0, 2, 1, 10, 1, 10, 2, 10, 2, 2, 10, 1, 2, 1, 10, 6, 6, 6, 10, 2, 1, 10, 10, 6, 10, 6, 10, 6, 1, 1, 1, 10, 2, 10, 2, 2, 10, 2, 1, 10, 1, 2, 10, 6, 2, 6, 10, 10, 10, 6, 0, 6, 1, 2, 6, 2, 1, 1, 6, 10, 6, 6, 1, 6, 10, 1, 2, 1, 1, 10, 9, 10, 2, 1, 2, 6, 6, 6, 1, 2, 10, 10, 2, 2, 4, 1, 2, 10, 10, 6, 6, 2, 10, 2, 2, 2, 6, 10, 10, 2, 10, 6, 6, 10, 6, 6, 10, 1, 6, 10, 10, 2, 10, 10, 6, 5, 1, 6, 10, 10, 6, 2, 10, 2, 10, 2, 2, 1, 10, 1, 10, 2, 9, 6, 2, 10, 0, 10, 1, 6, 2, 2, 2, 6, 60, 10, 10, 10, 2, 2, 2, 1, 2, 10, 10, 2, 2, 1, 6, 2, 1, 1, 1, 6, 10, 1, 1, 10, 10, 1, 1, 2, 6, 2, 6, 6, 6, 1, 1, 6, 2, 6, 6, 1, 6, 10, 2, 6, 10, 10, 2, 2, 2, 0, 10, 6, 2, 6, 1, 1, 2, 6, 6, 1, 2, 2, 10, 1, 2, 10, 2, 2, 2, 2, 1, 1, 5, 2, 2, 10, 10, 10, 1, 10, 6, 6, 2, 6, 10, 10, 2, 10, 10, 10, 6, 6, 6, 10, 6, 2, 6, 6, 2, 2, 6, 2, 1, 1, 6, 2, 10, 1, 2, 10, 10, 1, 10, 2, 2, 10, 10, 6, 2, 2, 1, 6, 10, 6, 10, 1, 6, 2, 10, 10, 6, 1, 10, 10, 1, 1, 2, 9, 6, 1, 2, 2, 10, 6, 10, 6, 10, 6, 2, 2, 2, 2, 10, 2, 1, 10, 2, 6, 6, 6, 1, 6, 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10, 2, 6, 10, 10, 10, 1, 6, 10, 2, 1, 1, 1, 1, 6, 6, 2, 1, 1, 6, 10, 1, 1, 10, 2, 1, 6, 10, 10, 10, 2, 6, 1, 6, 1, 1, 6, 10, 1, 10, 6, 6, 2, 6, 1, 2, 6, 6, 1, 2, 2, 6, 6, 1, 2, 6, 10, 10, 10, 10, 10, 6, 4, 2, 2, 2, 1, 1, 10, 6, 2, 2, 1, 5, 10, 1, 10, 1, 6, 9, 1, 1, 6, 2, 2, 1, 10, 2, 6, 10, 1, 6, 2, 10, 10, 1, 1, 6, 10, 2, 6, 4, 2, 10, 6, 6, 10, 1, 1, 6, 10, 2, 1, 2, 1, 10, 2, 0, 10, 10, 1, 1, 6, 2, 6, 10, 0, 6, 6, 2, 0, 1, 2, 10, 10, 6, 5, 10, 6, 9, 10, 2, 1, 10, 6, 2, 6, 6, 2, 2, 10, 6, 2, 1, 10, 1, 2, 10, 10, 10, 2, 1, 2, 10, 2, 4, 2, 6, 2, 2, 6, 10, 1, 1, 6, 10, 2, 6, 1, 1, 1, 2, 6, 10, 6, 1, 6, 6, 2, 10, 2, 6, 5, 10, 10, 2, 2, 6, 10, 10, 1, 6, 2, 1, 1, 1, 1, 6, 1, 10, 6, 2, 6, 10, 1, 1, 10, 10, 6, 10, 6, 6, 1, 2, 1, 1, 1, 6, 2, 2, 2, 2, 10, 10, 9, 4, 2, 10, 1, 6, 6, 6, 10, 10, 2, 10, 2, 10, 6, 2, 2, 1, 10, 6, 6, 2, 10, 10, 2, 40, 2, 2, 6, 10, 6, 2, 2, 2, 10, 6, 1, 2, 2, 6, 2, 6, 4, 2, 2, 2, 1, 1, 2, 2, 6, 6, 6, 6, 2, 2, 6, 10, 1, 6, 1, 10, 1, 5, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 6, 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10, 2, 2, 2, 10, 10, 10, 6, 6, 10, 2, 1, 10, 1, 10, 10, 1, 10, 1, 1, 10, 2, 6, 2, 1, 6, 6, 2, 2, 6, 6, 1, 2, 10, 2, 6, 10, 1, 6, 2, 1, 1, 0, 10, 2, 6, 6, 1, 1, 1, 1, 10, 2, 10, 1, 6, 10, 1, 2, 1, 2, 2, 2, 6, 6, 2, 1, 6, 10, 2, 10, 1, 2, 1, 6, 1, 6, 10, 10, 1, 10, 6, 6, 2, 2, 1, 6, 0, 6, 6, 1, 10, 1, 1, 1, 10, 2, 1, 2, 1, 2, 10, 10, 6, 10, 5, 2, 10, 1, 6, 2, 10, 10, 10, 2, 1, 9, 10, 10, 9, 6, 10, 2, 1, 10, 2, 10, 10, 10, 2, 6, 2, 10, 1, 6, 2, 2, 5, 2, 6, 10, 10, 1, 10, 10, 6, 10, 10, 2, 2, 10, 1, 5, 10, 1, 2, 2, 2, 2, 0, 0, 2, 5, 1, 2, 1, 9, 10, 1, 2, 2, 10, 10, 10, 10, 10, 6, 10, 6, 0, 1, 2, 1, 1, 6, 2, 2, 2, 6, 2, 6, 7, 1, 10, 2, 10, 10, 10, 1, 1, 2, 1, 10, 1, 1, 1, 1, 10, 10, 1, 10, 10, 1, 2, 2, 10, 10, 10, 2, 10, 6, 2, 6, 0, 1, 1, 10, 2, 10, 1, 2, 1, 6, 6, 6, 2, 6, 1, 10, 2, 1, 6, 1, 6, 6, 10, 6, 10, 10, 2, 10, 2, 1, 10, 2, 1, 10, 10, 2, 6, 6, 2, 6, 2, 10, 2, 2, 10, 1, 1, 1, 10, 6, 10, 2, 6, 2, 10, 6, 1, 8, 80, 2, 10, 9, 2, 2, 2, 10, 6, 6, 5, 1, 6, 6, 6, 1, 1, 2, 2, 2, 10, 1, 6, 10, 1, 10, 6, 10, 1, 5, 6, 10, 6, 0, 1, 2, 10, 10, 6, 1, 1, 2, 2, 2, 2, 10, 2, 6, 10, 10, 2, 1, 6, 0, 10, 1, 10, 10, 1, 6, 1, 1, 1, 6, 10, 1, 10, 6, 2, 2, 10, 10, 1, 10, 10, 2, 4, 2, 6, 1, 1, 2, 6, 2, 10, 2, 6, 5, 10, 1, 1, 10, 9, 1, 2, 0, 9, 1, 1, 10, 6, 1, 6, 2, 10, 2, 10, 6, 6, 6, 1, 2, 1, 2, 1, 2, 6, 2, 2, 1, 10, 1, 1, 6, 2, 1, 2, 1, 10, 2, 10, 10, 2, 2, 2, 6, 6, 6, 2, 10, 6, 2, 1, 2, 1, 10, 1, 2, 10, 1, 10, 1, 6, 1, 10, 1, 10, 10, 1, 1, 1, 1, 2, 2, 6, 10, 2, 10, 2, 1, 1, 10, 10, 10, 2, 1, 10, 1, 2, 10, 1, 9, 6, 2, 6, 10, 10, 2, 2, 2, 10, 2, 2, 1, 10, 10, 2, 1, 1, 1, 1, 10, 1, 6, 10, 2, 6, 6, 2, 2, 2, 1, 6, 1, 1, 2, 2, 6, 6, 2, 2, 6, 10, 6, 10, 6, 10, 2, 1, 6, 10, 2, 6, 10, 6, 1, 9, 2, 1, 6, 1, 1, 10, 2, 2, 6, 10, 2, 1, 2, 2, 4, 10, 10, 1, 10, 2, 10, 6, 0, 10, 2, 2, 6, 6, 6, 1, 6, 1, 6, 6, 10, 10, 1, 10, 10, 9, 6, 10, 2, 2, 1, 1, 1, 10, 1, 2, 5, 2, 10, 2, 10, 2, 10, 10, 10, 1, 1, 2, 1, 2, 6, 1, 10, 2, 4, 1, 10, 2, 6, 6, 2, 6, 6, 2, 2, 2, 10, 10, 1, 1, 6, 10, 2, 1, 6, 2, 2, 6, 1, 1, 6, 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10, 2, 10, 10, 10, 1, 2, 1, 2, 6, 10, 10, 2, 10, 10, 2, 6, 6, 1, 10, 1, 10, 1, 6, 10, 2, 6, 10, 2, 6, 6, 1, 10, 1, 1, 10, 10, 10, 10, 1, 6, 1, 1, 2, 2, 2, 4, 1, 6, 10, 10, 2, 1, 10, 1, 1, 6, 2, 1, 1, 1, 10, 2, 2, 6, 1, 2, 6, 2, 1, 6, 10, 6, 6, 2, 2, 6, 10, 1, 6, 2, 2, 1, 2, 6, 6, 1, 2, 6, 2, 1, 6, 6, 1, 10, 6, 5, 1, 1, 10, 1, 10, 1, 2, 1, 2, 2, 6, 1, 2, 1, 10, 6, 10, 1, 10, 1, 2, 1, 1, 6, 1, 6, 1, 6, 10, 2, 6, 10, 10, 6, 2, 6, 6, 10, 1, 2, 1, 2, 2, 6, 6, 2, 2, 2, 10, 10, 10, 1, 10, 10, 6, 6, 1, 1, 6, 1, 1, 6, 10, 1, 1, 2, 1, 0, 2, 1, 6, 1, 10, 1, 10, 6, 1, 6, 2, 6, 2, 2, 2, 6, 10, 1, 6, 6, 2, 10, 10, 6, 2, 2, 2, 6, 6, 4, 2, 2, 1, 2, 6, 6, 6, 1, 2, 10, 2, 2, 1, 1, 1, 10, 6, 1, 2, 6, 6, 6, 6, 10, 6, 60, 1, 1, 1, 1, 10, 1, 2, 1, 1, 10, 10, 10, 1, 6, 6, 2, 2, 6, 6, 10, 9, 6, 10, 6, 6, 2, 1, 1, 2, 6, 2, 6, 10, 6, 2, 10, 1, 1, 6, 2, 1, 10, 10, 1, 1, 2, 2, 10, 1, 1, 10, 10, 1, 6, 10, 2, 6, 6, 10, 2, 2, 10, 6, 2, 10, 10, 6, 2, 6, 10, 6, 10, 10, 6, 2, 1, 6, 1, 6, 6, 1, 10, 1, 2, 10, 1, 2, 6, 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1, 1, 1, 1, 1, 2, 10, 6, 10, 10, 10, 6, 1, 2, 1, 6, 1, 2, 2, 6, 10, 2, 2, 1, 10, 6, 6, 1, 10, 6, 2, 10, 2, 10, 6, 10, 1, 10, 10, 1, 1, 6, 6, 6, 2, 6, 2, 1, 10, 1, 1, 2, 2, 6, 2, 10, 1, 10, 2, 6, 10, 6, 6, 6, 10, 1, 1, 6, 6, 2, 2, 1, 2, 1, 2, 1, 6, 0, 2, 6, 1, 6, 1, 2, 6, 10, 6, 1, 2, 10, 1, 6, 2, 6, 6, 2, 6, 1, 6, 1, 10, 6, 2, 10, 10, 2, 10, 10, 1, 6, 6, 6, 6, 1, 10, 6, 1, 2, 10, 1, 1, 2, 6, 2, 1, 2, 2, 10, 10, 6, 10, 1, 1, 1, 10, 1, 1, 6, 1, 6, 2, 5, 1, 2, 2, 10, 1, 1, 10, 1, 1, 2, 1, 1, 2, 10, 6, 2, 10, 1, 1, 1, 2, 10, 1, 2, 6, 1, 2, 6, 10, 2, 6, 2, 1, 9, 1, 10, 1, 2, 10, 4, 1, 10, 1, 2, 2, 1, 10, 2, 10, 2, 10, 1, 10, 10, 2, 6, 6, 10, 6, 10, 6, 10, 6, 6, 10, 6, 10, 6, 6, 6, 1, 2, 10, 1, 1, 10, 10, 2, 1, 2, 2, 1, 2, 1, 10, 6, 6, 2, 2, 1, 2, 2, 10, 6, 1, 1, 2, 2, 6, 6, 1, 1, 1, 10, 1, 1, 1, 1, 10, 6, 2, 1, 10, 10, 2, 6, 2, 10, 1, 1, 6, 2, 2, 1, 2, 10, 6, 1, 10, 6, 10, 10, 1, 10, 1, 10, 10, 1, 1, 2, 2, 2, 6, 6, 6, 1, 6, 6, 10, 5, 10, 2, 2, 2, 5, 10, 6, 6, 10, 6, 2, 2, 1, 10, 2, 1, 10, 6, 8, 1, 10, 10, 10, 1, 4, 10, 6, 10, 4, 10, 6, 1, 1, 6, 6, 1, 1, 4, 6, 2, 10, 10, 1, 1, 6, 1, 1, 2, 6, 1, 6, 10, 2, 6, 1, 0, 6, 2, 2, 2, 6, 1, 2, 6, 10, 6, 2, 2, 6, 1, 1, 2, 10, 6, 1, 6, 1, 1, 2, 6, 1, 1, 10, 10, 1, 10, 6, 2, 1, 6, 10, 1, 10, 6, 2, 2, 6, 1, 6, 1, 2, 2, 1, 1, 10, 2, 1, 6, 6, 10, 10, 2, 2, 1, 6, 2, 2, 10, 10, 10, 10, 2, 2, 10, 10, 1, 6, 10, 6, 6, 10, 10, 6, 1, 10, 6, 2, 10, 1, 6, 10, 6, 9, 1, 1, 10, 6, 2, 6, 10, 2, 10, 2, 6, 6, 1, 2, 2, 6, 6, 6, 6, 2, 2, 10, 1, 2, 6, 1, 10, 10, 6, 2, 2, 1, 10, 1, 2, 6, 10, 10, 6, 2, 2, 2, 10, 1, 10, 6, 6, 1, 6, 1, 10, 6, 10, 10, 6, 2, 2, 6, 10, 6, 6, 6, 1, 2, 6, 2, 1, 10, 1, 1, 6, 2, 2, 1, 2, 10, 10, 6, 6, 6, 10, 2, 6, 10, 1, 1, 6, 2, 10, 1, 1, 6, 10, 2, 1, 2, 5, 2, 6, 1, 10, 1, 1, 2, 1, 1, 10, 10, 10, 10, 2, 5, 10, 1, 2, 10, 6, 2, 2, 6, 6, 10, 2, 2, 10, 1, 10, 1, 1, 10, 2, 6, 10, 1, 0, 10, 10, 6, 10, 6, 2, 1, 2, 2, 1, 1, 1, 6, 4, 10, 1, 1, 6, 1, 6, 1, 6, 2, 2, 6, 1, 4, 6, 6, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 6, 9, 1, 2, 1, 6, 1, 6, 2, 1, 1, 2, 2, 2, 10, 6, 6, 10, 10, 6, 6, 2, 1, 10, 1, 6, 10, 6, 1, 10, 1, 10, 5, 2, 6, 10, 2, 2, 2, 6, 2, 1, 6, 10, 2, 10, 2, 10, 2, 10, 6, 10, 10, 6, 6, 10, 10, 6, 1, 1, 10, 6, 1, 2, 10, 6, 2, 6, 10, 1, 10, 6, 10, 10, 2, 10, 5, 6, 6, 1, 10, 10, 1, 6, 1, 1, 2, 6, 2, 10, 10, 1, 2, 6, 2, 6, 6, 2, 10, 10, 6, 2, 10, 0, 2, 1, 10, 2, 6, 1, 1, 1, 10, 2, 10, 10, 10, 6, 6, 2, 6, 6, 10, 10, 1, 2, 2, 1, 2, 6, 10, 1, 10, 10, 2, 6, 1, 10, 1, 1, 6, 2, 10, 6, 10, 1, 2, 1, 2, 6, 10, 10, 10, 6, 10, 1, 6, 2, 1, 2, 1, 1, 2, 1, 2, 2, 10, 2, 6, 6, 10, 1, 2, 10, 2, 0, 2, 1, 6, 1, 2, 6, 10, 2, 1, 10, 2, 2, 10, 2, 1, 1, 6, 2, 10, 10, 10, 2, 0, 1, 6, 6, 6, 6, 1, 6, 6, 1, 2, 2, 6, 2, 6, 10, 6, 1, 10, 2, 6, 1, 6, 6, 1, 1, 10, 2, 0, 2, 2, 10, 1, 6, 6, 10, 5, 9, 6, 10, 10, 1, 1, 10, 1, 10, 6, 6, 1, 2, 6, 10, 2, 1, 6, 1, 1, 2, 10, 10, 6, 6, 2, 10, 6, 10, 6, 10, 6, 6, 6, 6, 5, 2, 6, 2, 2, 2, 2, 10, 1, 6, 1, 6, 10, 6, 1, 1, 1, 2, 2, 2, 4, 1, 6, 2, 0, 6, 2, 6, 1, 1, 10, 1, 10, 6, 6, 2, 2, 5, 10, 6, 1, 6, 10, 1, 10, 1, 2, 9, 6, 6, 6, 1, 6, 1, 10, 1, 2, 2, 2, 4, 6, 10, 10, 2, 10, 1, 0, 10, 10, 1, 1, 1, 1, 1, 10, 10, 10, 1, 6, 6, 6, 1, 1, 2, 10, 2, 1, 2, 10, 6, 2, 2, 2, 1, 2, 1, 10, 2, 6, 1, 10, 6, 2, 1, 10, 10, 1, 2, 2, 2, 6, 10, 10, 2, 6, 10, 10, 6, 10, 2, 2, 10, 1, 1, 1, 10, 1, 2, 10, 2, 6, 50, 0, 6, 10, 6, 1, 1, 6, 2, 2, 10, 9, 10, 2, 1, 2, 6, 6, 6, 6, 4, 10, 10, 6, 2, 6, 2, 6, 10, 10, 10, 2, 10, 6, 6, 1, 1, 1, 6, 6, 1, 6, 10, 1, 10, 6, 6, 6, 2, 1, 2, 2, 1, 6, 1, 2, 2, 10, 2, 10, 4, 1, 10, 2, 0, 10, 1, 2, 6, 1, 6, 10, 10, 6, 60, 1, 2, 6, 10, 10, 9, 10, 1, 10, 2, 2, 1, 10, 6, 2, 6, 2, 10, 10, 2, 2, 6, 6, 10, 10, 1, 1, 2, 10, 6, 1, 2, 1, 1, 9, 6, 10, 1, 1, 1, 1, 10, 2, 2, 6, 1, 2, 1, 6, 6, 10, 6, 6, 6, 2, 6, 2, 6, 6, 6, 2, 1, 2, 1, 6, 6, 6, 6, 6, 10, 2, 1, 6, 2, 6, 2, 1, 2, 2, 10, 1, 1, 10, 6, 1, 2, 1, 1, 1, 1, 6, 6, 1, 1, 2, 6, 6, 6, 2, 1, 1, 2, 1, 10, 10, 10, 2, 2, 1, 2, 2, 6, 6, 2, 6, 6, 6, 6, 5, 1, 2, 2, 1, 2, 6, 2, 2, 2, 10, 1, 10, 1, 2, 6, 10, 2, 10, 10, 10, 2, 1, 1, 2, 6, 6, 1, 10, 1, 6, 10, 6, 2, 1, 1, 1, 2, 2, 6, 2, 10, 1, 10, 2, 1, 6, 1, 1, 10, 10, 2, 2, 6, 10, 6, 6, 6, 0, 2, 2, 2, 6, 10, 2, 6, 1, 1, 6, 6, 2, 10, 2, 2, 6, 2, 2, 1, 6, 2, 4, 1, 6, 1, 2, 1, 2, 6, 6, 1, 2, 6, 2, 6, 2, 1, 10, 1, 10, 1, 1, 1, 9, 2, 6, 1, 2, 6, 2, 1, 2, 4, 2, 1, 6, 1, 6, 10, 1, 2, 2, 6, 1, 10, 10, 1, 2, 6, 2, 6, 1, 1, 6, 6, 6, 10, 1, 6, 1, 1, 6, 10, 1, 2, 1, 6, 6, 10, 1, 6, 2, 2, 6, 1, 10, 6, 1, 6, 1, 2, 10, 10, 1, 6, 1, 10, 1, 6, 10, 1, 2, 10, 1, 10, 6, 2, 10, 1, 2, 1, 2, 2, 6, 10, 1, 1, 1, 2, 1, 1, 10, 10, 6, 2, 1, 9, 6, 2, 6, 10, 1, 6, 10, 2, 10, 10, 6, 10, 6, 10, 2, 2, 10, 6, 1, 2, 6, 10, 2, 1, 10, 6, 1, 6, 1, 10, 1, 10, 6, 2, 6, 2, 6, 10, 1, 2, 2, 6, 1, 1, 2, 6, 10, 1, 1, 10, 10, 10, 10, 10, 10, 2, 1, 6, 6, 1, 10, 9, 10, 10, 1, 2, 2, 10, 10, 10, 2, 6, 6, 2, 1, 10, 6, 1, 10, 2, 6, 2, 2, 10, 6, 2, 6, 1, 2, 1, 2, 10, 4, 6, 1, 1, 10, 2, 1, 2, 6, 2, 0, 1, 2, 10, 1, 1, 1, 2, 10, 2, 10, 1, 10, 2, 2, 10, 1, 0, 10, 10, 2, 10, 10, 1, 10, 6, 6, 10, 2, 10, 2, 2, 2, 1, 2, 1, 6, 1, 4, 1, 2, 1, 6, 0, 1, 6, 10, 10, 2, 1, 2, 10, 10, 10, 0, 6, 2, 1, 6, 6, 6, 6, 6, 10, 1, 1, 6, 6, 10, 2, 6, 1, 2, 2, 6, 2, 2, 1, 10, 10, 6, 1, 10, 6, 2, 1, 6, 10, 6, 1, 6, 2, 10, 10, 1, 1, 1, 1, 2, 2, 6, 10, 10, 1, 1, 10, 1, 6, 6, 1, 1, 10, 6, 10, 6, 1, 10, 10, 2, 6, 2, 9, 6, 6, 2, 6, 1, 2, 2, 2, 2, 6, 10, 1, 1, 6, 2, 2, 10, 6, 2, 10, 10, 10, 6, 6, 6, 1, 6, 2, 10, 2, 6, 6, 1, 10, 6, 6, 6, 6, 1, 2, 6, 4, 10, 6, 1, 2, 1, 10, 2, 2, 1, 10, 6, 1, 2, 1, 10, 2, 2, 6, 6, 1, 6, 1, 2, 1, 6, 1, 6, 1, 1, 1, 1, 2, 1, 6, 6, 10, 1, 2, 1, 10, 4, 10, 2, 10, 1, 2, 10, 2, 6, 0, 1, 2, 2, 2, 10, 2, 10, 10, 1, 2, 1, 1, 10, 1, 2, 2, 10, 2, 6, 1, 2, 1, 6, 1, 2, 6, 10, 2, 2, 6, 2, 3, 2, 1, 1, 2, 10, 2, 2, 6, 6, 10, 2, 6, 6, 10, 1, 10, 10, 6, 10, 10, 10, 2, 10, 10, 2, 2, 6, 2, 1, 10, 1, 10, 6, 6, 1, 6, 2, 10, 6, 2, 6, 6, 1, 6, 1, 2, 10, 6, 1, 2, 10, 1, 1, 6, 1, 6, 2, 10, 6, 10, 10, 2, 2, 6, 10, 2, 10, 1, 9, 6, 4, 2, 1, 2, 1, 2, 1, 2, 1, 10, 2, 6, 10, 10, 10, 2, 2, 4, 1, 10, 6, 1, 2, 10, 2, 2, 6, 10, 6, 1, 2, 6, 1, 10, 6, 2, 1, 10, 6, 6, 6, 6, 10, 10, 1, 10, 10, 6, 6, 1, 2, 1, 9, 2, 1, 1, 1, 6, 10, 10, 2, 6, 1, 10, 2, 2, 10, 2, 1, 2, 2, 6, 1, 10, 10, 6, 2, 2, 2, 1, 10, 6, 1, 6, 1, 6, 10, 6, 10, 2, 10, 10, 2, 2, 2, 6, 6, 10, 2, 1, 10, 6, 6, 10, 1, 10, 6, 6, 6, 2, 2, 6, 2, 1, 6, 2, 4, 1, 1, 10, 6, 6, 6, 2, 6, 10, 2, 6, 6, 2, 10, 6, 10, 1, 10, 6, 10, 2, 10, 10, 1, 2, 10, 1, 6, 1, 1, 2, 2, 2, 2, 10, 10, 6, 10, 1, 2, 2, 6, 10, 10, 2, 6, 6, 1, 6, 6, 1, 1, 6, 6, 2, 1, 5, 10, 1, 2, 6, 2, 10, 1, 2, 2, 6, 2, 6, 2, 6, 6, 6, 1, 1, 2, 10, 2, 10, 10, 6, 6, 10, 0, 10, 1, 1, 10, 6, 1, 6, 6, 10, 10, 6, 10, 1, 1, 4, 6, 2, 6, 1, 6, 1, 1, 9, 10, 6, 2, 2, 6, 1, 10, 6, 6, 1, 9, 6, 1, 2, 1, 6, 10, 1, 1, 0, 1, 10, 10, 1, 6, 1, 4, 1, 1, 10, 1, 1, 2, 6, 1, 2, 0, 1, 0, 2, 6, 6, 2, 2, 2, 10, 6, 1, 6, 10, 1, 1, 10, 2, 6, 6, 2, 1, 1, 1, 2, 1, 6, 1, 10, 2, 1, 6, 1, 6, 5, 9, 10, 1, 0, 6, 6, 1, 10, 6, 10, 6, 2, 1, 10, 2, 10, 10, 10, 6, 2, 9, 10, 6, 10, 1, 10, 6, 2, 6, 6, 2, 2, 6, 10, 6, 1, 1, 6, 6, 10, 6, 1, 6, 1, 10, 1, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 6, 6, 2, 6, 4, 10, 6, 6, 2, 2, 2, 2, 6, 1, 1, 10, 1, 1, 2, 2, 1, 10, 2, 1, 1, 1, 10, 2, 2, 1, 6, 1, 2, 1, 6, 1, 1, 2, 2, 2, 10, 6, 10, 10, 2, 10, 1, 1, 1, 6, 10, 6, 10, 2, 2, 6, 2, 1, 10, 2, 10, 2, 2, 10, 6, 6, 2, 6, 2, 6, 6, 1, 6, 1, 1, 2, 2, 6, 2, 1, 6, 1, 1, 2, 1, 6, 6, 2, 10, 6, 1, 6, 1, 2, 10, 2, 6, 6, 10, 6, 6, 1, 2, 2, 1, 5, 2, 1, 6, 6, 6, 10, 10, 10, 1, 1, 2, 10, 10, 1, 1, 6, 10, 2, 2, 1, 10, 1, 1, 1, 10, 6, 1, 6, 10, 10, 2, 2, 2, 10, 6, 2, 1, 1, 1, 6, 1, 6, 2, 6, 10, 2, 1, 1, 6, 1, 10, 2, 2, 1, 6, 1, 2, 1, 6, 10, 6, 6, 6, 6, 10, 1, 2, 1, 1, 1, 2, 1, 6, 6, 2, 1, 5, 1, 1, 10, 6, 4, 6, 4, 10, 10, 1, 10, 1, 10, 10, 9, 2, 10, 2, 2, 6, 1, 1, 10, 1, 1, 1, 6, 4, 10, 10, 1, 2, 10, 6, 2, 1, 1, 1, 10, 6, 10, 6, 10, 1, 4, 6, 2, 6, 6, 1, 0, 10, 6, 10, 2, 10, 10, 6, 1, 1, 10, 6, 1, 2, 10, 10, 2, 6, 2, 1, 6, 10, 6, 1, 2, 2, 2, 1, 10, 6, 2, 6, 2, 6, 1, 2, 1, 6, 2, 6, 10, 10, 10, 6, 3, 6, 6, 10, 1, 1, 10, 2, 2, 1, 1, 1, 6, 2, 2, 10, 1, 6, 10, 2, 2, 6, 1, 2, 2, 2, 10, 4, 2, 6, 10, 10, 6, 2, 1, 6, 2, 2, 10, 6, 1, 2, 2, 2, 10, 5, 10, 10, 6, 6, 1, 1, 2, 6, 1, 10, 2, 1, 6, 2, 10, 2, 10, 10, 10, 6, 1, 2, 6, 9, 1, 2, 10, 1, 0, 6, 6, 2, 2, 6, 1, 2, 6, 10, 6, 2, 6, 1, 2, 1, 1, 8, 1, 1, 6, 2, 6, 2, 1, 6, 1, 6, 10, 1, 1, 2, 10, 2, 2, 1, 2, 6, 2, 1, 6, 6, 2, 6, 2, 6, 6, 6, 2, 2, 2, 10, 1, 10, 10, 3, 1, 2, 10, 1, 2, 10, 10, 1, 2, 2, 1, 1, 2, 1, 1, 10, 10, 2, 2, 10, 2, 6, 1, 6, 1, 10, 2, 1, 1, 1, 6, 2, 2, 2, 2, 10, 10, 6, 2, 5, 2, 1, 10, 1, 10, 1, 1, 1, 1, 2, 10, 6, 2, 1, 2, 1, 2, 10, 2, 2, 1, 6, 2, 10, 6, 2, 10, 10, 2, 6, 6, 1, 10, 10, 2, 1, 10, 2, 1, 9, 6, 10, 0, 6, 1, 6, 2, 1, 6, 2, 1, 10, 10, 0, 2, 1, 10, 1, 10, 2, 6, 6, 6, 1, 2, 10, 2, 10, 1, 6, 2, 6, 1, 6, 10, 10, 2, 6, 0, 2, 6, 2, 2, 2, 6, 2, 2, 6, 10, 2, 10, 1, 1, 10, 10, 1, 1, 1, 6, 1, 1, 6, 10, 10, 10, 6, 6, 1, 10, 2, 6, 1, 0, 2, 6, 10, 1, 6, 6, 6, 10, 6, 6, 10, 2, 10, 10, 2, 1, 10, 1, 6, 1, 10, 10, 2, 1, 6, 10, 1, 6, 1, 1, 6, 1, 2, 2, 1, 10, 6, 10, 10, 6, 10, 1, 2, 1, 2, 2, 10, 6, 1, 2, 1, 6, 2, 2, 2, 10, 2, 10, 2, 10, 10, 6, 6, 10, 1, 1, 10, 6, 1, 6, 10, 2, 1, 6, 7, 10, 2, 2, 4, 10, 1, 1, 6, 10, 6, 6, 6, 2, 2, 1, 1, 10, 6, 10, 10, 2, 10, 10, 2, 10, 10, 10, 4, 6, 6, 1, 1, 10, 6, 60, 2, 2, 5, 1, 10, 1, 0, 10, 1, 2, 2, 1, 2, 1, 10, 1, 2, 1, 1, 10, 10, 4, 1, 6, 1, 2, 2, 1, 1, 10, 2, 1, 10, 6, 6, 6, 10, 6, 6, 10, 1, 6, 2, 6, 2, 6, 10, 2, 6, 10, 2, 10, 6, 10, 10, 10, 6, 1, 6, 1, 10, 6, 10, 10, 6, 10, 6, 2, 2, 0, 1, 2, 2, 2, 2, 2, 6, 10, 6, 6, 2, 10, 2, 10, 6, 1, 10, 10, 10, 10, 10, 10, 10, 2, 6, 6, 1, 10, 2, 10, 1, 1, 1, 10, 10, 10, 6, 10, 2, 2, 10, 10, 1, 1, 5, 6, 10, 1, 2, 10, 6, 10, 2, 1, 6, 10, 2, 6, 1, 1, 2, 10, 10, 2, 2, 2, 1, 2, 6, 6, 10, 6, 2, 6, 10, 6, 6, 1, 1, 6, 6, 6, 1, 1, 10, 2, 1, 6, 10, 1, 2, 1, 6, 6, 10, 10, 2, 10, 2, 10, 2, 6, 6, 1, 6, 6, 6, 1, 2, 6, 10, 2, 6, 6, 1, 2, 1, 10, 10, 1, 6, 6, 6, 6, 1, 6, 6, 1, 1, 1, 2, 6, 1, 6, 2, 1, 2, 1, 1, 6, 2, 6, 6, 1, 1, 1, 1, 6, 6, 10, 1, 10, 6, 1, 2, 10, 1, 6, 6, 10, 6, 1, 2, 10, 10, 1, 10, 1, 1, 6, 1, 6, 2, 10, 10, 10, 6, 2, 10, 6, 1, 10, 0, 2, 6, 6, 2, 1, 1, 1, 2, 10, 2, 4, 1, 6, 2, 10, 1, 6, 10, 6, 6, 2, 4, 2, 10, 10, 2, 4, 1, 10, 1, 2, 6, 2, 2, 6, 1, 1, 10, 10, 2, 1, 10, 10, 10, 2, 10, 6, 2, 6, 6, 1, 1, 1, 6, 0, 10, 1, 2, 10, 2, 1, 10, 2, 10, 1, 2, 1, 6, 1, 1, 6, 0, 1, 1, 6, 2, 6, 1, 6, 2, 1, 1, 1, 6, 10, 6, 2, 10, 10, 6, 6, 6, 1, 2, 10, 6, 10, 0, 1, 10, 1, 6, 1, 1, 6, 2, 6, 2, 1, 10, 1, 10, 10, 6, 1, 2, 6, 10, 10, 6, 6, 10, 10, 6, 2, 10, 1, 10, 10, 9, 10, 6, 10, 10, 6, 2, 1, 6, 2, 1, 6, 1, 1, 2, 2, 2, 10, 2, 2, 1, 2, 10, 10, 6, 10, 6, 10, 2, 10, 10, 2, 5, 10, 6, 2, 6, 10, 1, 1, 2, 1, 10, 1, 10, 10, 1, 10, 10, 2, 6, 10, 6, 1, 2, 2, 6, 2, 2, 2, 0, 1, 6, 1, 1, 10, 1, 1, 1, 2, 10, 2, 10, 2, 2, 1, 10, 10, 2, 2, 2, 1, 9, 1, 2, 10, 10, 5, 1, 10, 6, 2, 10, 2, 10, 2, 10, 6, 6, 1, 10, 6, 1, 2, 6, 2, 6, 6, 6, 1, 2, 10, 1, 6, 10, 1, 2, 10, 6, 2, 5, 1, 2, 2, 6, 2, 1, 6, 2, 1, 2, 2, 10, 4, 1, 2, 10, 10, 1, 6, 2, 6, 10, 10, 2, 6, 1, 6, 10, 6, 1, 10, 2, 2, 2, 2, 6, 10, 6, 2, 6, 10, 2, 6, 6, 10, 6, 1, 2, 6, 6, 2, 1, 10, 1, 1, 1, 2, 1, 1, 6, 2, 10, 2, 2, 9, 10, 6, 6, 1, 10, 1, 1, 1, 10, 1, 10, 2, 1, 1, 1, 6, 2, 4, 10, 6, 2, 1, 2, 10, 2, 6, 10, 10, 1, 10, 10, 6, 6, 1, 2, 1, 2, 1, 1, 6, 10, 2, 1, 6, 6, 6, 6, 10, 2, 1, 6, 1, 1, 5, 1, 2, 2, 1, 6, 2, 1, 1, 10, 10, 2, 1, 2, 6, 1, 6, 10, 1, 1, 2, 6, 10, 10, 10, 1, 10, 6, 6, 10, 6, 6, 6, 10, 6, 10, 1, 2, 1, 10, 2, 6, 10, 1, 6, 1, 9, 10, 4, 10, 2, 2, 2, 0, 1, 5, 6, 10, 2, 6, 2, 10, 6, 2, 6, 2, 10, 1, 10, 1, 10, 1, 2, 1, 10, 2, 10, 10, 6, 6, 10, 2, 6, 10, 6, 0, 6, 6, 2, 10, 1, 10, 6, 6, 5, 6, 2, 6, 2, 2, 10, 6, 1, 10, 10, 1, 6, 2, 1, 1, 6, 9, 10, 2, 10, 2, 6, 2, 0, 2, 1, 10, 1, 1, 6, 9, 1, 2, 2, 2, 10, 1, 10, 2, 2, 10, 2, 6, 2, 6, 10, 10, 1, 10, 6, 2, 10, 10, 2, 10, 1, 10, 10, 10, 6, 1, 6, 10, 10, 6, 6, 2, 10, 2, 2, 6, 6, 10, 1, 2, 10, 2, 10, 6, 2, 1, 6, 1, 6, 2, 2, 2, 10, 10, 1, 10, 10, 6, 1, 10, 2, 10, 10, 1, 2, 2, 10, 6, 10, 1, 10, 6, 2, 6, 2, 6, 6, 2, 2, 1, 10, 2, 10, 2, 1, 8, 2, 10, 6, 1, 1, 2, 6, 6, 10, 10, 10, 10, 10, 2, 6, 6, 1, 6, 2, 2, 10, 10, 10, 1, 2, 6, 6, 1, 2, 2, 2, 1, 2, 1, 2, 10, 1, 6, 10, 10, 2, 1, 2, 1, 1, 10, 4, 2, 2, 10, 6, 6, 1, 1, 2, 6, 10, 10, 1, 10, 1, 2, 10, 2, 1, 5, 10, 2, 2, 10, 6, 2, 1, 10, 10, 10, 6, 2, 10, 2, 6, 2, 10, 6, 6, 6, 2, 6, 6, 10, 10, 1, 6, 10, 6, 6, 0, 1, 10, 2, 10, 6, 10, 2, 2, 1, 1, 10, 10, 1, 1, 2, 10, 6, 6, 6, 1, 10, 1, 2, 10, 2, 6, 2, 2, 2, 10, 1, 1, 6, 6, 2, 2, 1, 10, 6, 6, 10, 1, 6, 6, 1, 1, 2, 2, 10, 1, 2, 1, 2, 6, 2, 2, 10, 6, 1, 10, 6, 6, 10, 1, 10, 1, 6, 6, 1, 10, 2, 10, 6, 6, 1, 10, 2, 2, 10, 10, 6, 6, 6, 6, 2, 1, 2, 6, 2, 6, 2, 10, 6, 6, 10, 6, 1, 6, 2, 1, 1, 1, 2, 1, 10, 2, 10, 10, 1, 10, 6, 6, 9, 1, 1, 2, 1, 2, 1, 6, 10, 10, 6, 2, 6, 6, 6, 5, 1, 1, 10, 6, 6, 6, 10, 10, 2, 1, 6, 10, 2, 2, 1, 6, 2, 2, 10, 2, 6, 2, 2, 10, 2, 6, 1, 10, 6, 10, 1, 2, 2, 6, 6, 5, 10, 2, 2, 2, 1, 6, 2, 6, 6, 2, 2, 6, 2, 4, 2, 10, 1, 6, 2, 1, 2, 6, 10, 1, 6, 1, 6, 10, 2, 1, 2, 1, 6, 6, 2, 6, 1, 2, 6, 2, 6, 2, 1, 2, 2, 10, 1, 6, 6, 6, 1, 10, 10, 1, 2, 2, 2, 10, 1, 10, 2, 6, 1, 6, 1, 10, 1, 1, 1, 10, 2, 2, 6, 1, 6, 2, 2, 10, 6, 10, 10, 1, 6, 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10, 6, 6, 6, 1, 1, 10, 10, 2, 2, 1, 10, 2, 6, 2, 2, 6, 10, 1, 6, 6, 10, 10, 10, 1, 2, 10, 2, 1, 2, 6, 6, 6, 2, 1, 2, 10, 5, 6, 2, 10, 1, 10, 2, 1, 2, 6, 6, 10, 1, 2, 2, 2, 10, 6, 1, 6, 2, 1, 2, 10, 2, 6, 6, 2, 1, 10, 1, 10, 1, 1, 1, 1, 2, 10, 6, 1, 1, 2, 0, 1, 10, 6, 10, 2, 1, 10, 1, 1, 2, 2, 2, 2, 10, 6, 1, 10, 2, 1, 10, 6, 10, 2, 6, 10, 10, 6, 1, 6, 2, 2, 1, 10, 1, 2, 10, 10, 2, 10, 10, 2, 10, 2, 10, 1, 2, 10, 6, 1, 10, 6, 6, 6, 6, 10, 2, 5, 10, 2, 10, 2, 2, 6, 2, 2, 2, 10, 6, 6, 6, 2, 1, 6, 6, 1, 1, 1, 10, 2, 2, 2, 6, 6, 1, 1, 10, 1, 2, 10, 1, 10, 10, 2, 6, 2, 2, 10, 1, 1, 2, 9, 1, 2, 6, 2, 2, 10, 6, 10, 6, 10, 6, 2, 2, 2, 6, 10, 1, 1, 5, 6, 6, 1, 2, 9, 6, 2, 10, 2, 1, 10, 2, 6, 6, 1, 2, 1, 10, 10, 2, 1, 2, 10, 10, 1, 6, 6, 1, 2, 6, 2, 2, 10, 1, 10, 6, 10, 6, 2, 6, 10, 2, 1, 6, 10, 0, 6, 0, 1, 6, 2, 1, 10, 1, 2, 2, 10, 2, 10, 10, 10, 2, 6, 10, 10, 2, 1, 1, 5, 10, 1, 2, 6, 2, 10, 10, 1, 2, 10, 6, 2, 1, 10, 10, 6, 2, 1, 6, 1, 10, 10, 2, 6, 6, 6, 6, 10, 1, 2, 2, 6, 10, 1, 1, 2, 1, 2, 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1, 6, 2, 10, 6, 1, 6, 2, 6, 6, 6, 6, 2, 1, 6, 6, 1, 2, 1, 6, 10, 6, 4, 6, 1, 2, 2, 6, 10, 2, 6, 6, 2, 6, 6, 1, 1, 6, 2, 10, 2, 2, 2, 6, 10, 6, 2, 2, 2, 10, 10, 10, 6, 6, 4, 10, 10, 6, 2, 1, 4, 6, 2, 1, 2, 6, 1, 1, 2, 10, 10, 1, 2, 1, 10, 2, 6, 10, 6, 1, 6, 10, 10, 1, 1, 2, 6, 2, 6, 10, 2, 6, 2, 2, 1, 10, 10, 10, 1, 1, 2, 10, 10, 6, 10, 1, 10, 2, 1, 10, 6, 0, 2, 6, 1, 2, 10, 10, 6, 10, 1, 6, 10, 6, 10, 10, 6, 6, 6, 1, 1, 2, 1, 6, 6, 2, 1, 10, 1, 10, 6, 6, 2, 2, 10, 5, 2, 2, 6, 1, 2, 2, 1, 1, 1, 1, 2, 9, 2, 2, 1, 10, 1, 10, 2, 2, 2, 6, 1, 6, 6, 10, 6, 1, 6, 1, 1, 10, 1, 6, 1, 6, 2, 6, 2, 10, 6, 10, 6, 10, 10, 2, 10, 10, 2, 5, 6, 10, 2, 2, 10, 6, 10, 2, 1, 10, 6, 10, 10, 1, 1, 2, 6, 10, 10, 10, 1, 6, 1, 1, 6, 6, 10, 1, 1, 10, 6, 1, 1, 2, 6, 2, 6, 10, 1, 1, 2, 1, 2, 2, 10, 50, 1, 2, 2, 6, 1, 1, 1, 1, 1, 2, 6, 6, 2, 2, 6, 6, 1, 10, 10, 1, 10, 10, 2, 10, 1, 10, 10, 10, 6, 10, 2, 1, 6, 6, 6, 1, 1, 1, 6, 6, 1, 6, 6, 10, 6, 10, 1, 10, 1, 1, 10, 2, 1, 2, 6, 1, 1, 1, 2, 6, 1, 10, 2, 6, 2, 10, 6, 2, 9, 10, 1, 1, 6, 5, 1, 1, 2, 6, 2, 2, 6, 1, 6, 6, 2, 6, 1, 6, 2, 2, 6, 0, 2, 6, 10, 6, 1, 2, 6, 2, 6, 2, 2, 6, 2, 6, 2, 2, 2, 10, 2, 10, 2, 10, 2, 6, 5, 8, 2, 10, 6, 6, 10, 2, 6, 6, 2, 2, 6, 1, 6, 1, 10, 10, 6, 10, 10, 1, 2, 6, 6, 6, 1, 2, 2, 1, 10, 1, 6, 2, 10, 1, 2, 10, 6, 1, 0, 10, 2, 1, 6, 2, 6, 10, 10, 1, 2, 6, 6, 1, 6, 1, 6, 1, 1, 2, 1, 6, 2, 1, 1, 0, 6, 6, 6, 6, 6, 1, 6, 6, 10, 10, 1, 2, 10, 2, 10, 10, 1, 2, 10, 6, 1, 1, 2, 2, 2, 10, 1, 2, 10, 2, 1, 2, 1, 6, 1, 2, 6, 1, 1, 6, 10, 10, 10, 6, 1, 2, 1, 6, 10, 2, 6, 10, 2, 2, 2, 10, 6, 10, 10, 2, 10, 1, 6, 6, 2, 1, 2, 2, 6, 5, 10, 6, 10, 0, 1, 6, 1, 10, 2, 1, 1, 1, 10, 2, 6, 6, 10, 10, 10, 1, 4, 1, 1, 2, 10, 6, 2, 6, 6, 1, 4, 6, 6, 10, 0, 6, 6, 2, 10, 10, 1, 10, 4, 1, 6, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 10, 1, 1, 2, 6, 2, 6, 1, 10, 2, 10, 10, 2, 1, 6, 6, 2, 1, 2, 6, 4, 1, 1, 6, 2, 10, 1, 2, 2, 6, 1, 2, 1, 2, 2, 10, 2, 1, 6, 10, 6, 6, 6, 2, 2, 2, 2, 2, 6, 2, 1, 6, 1, 1, 1, 6, 2, 1, 1, 5, 1, 0, 2, 2, 6, 2, 2, 6, 2, 2, 6, 1, 10, 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6, 1, 6, 10, 2, 1, 2, 10, 10, 1, 6, 2, 2, 6, 2, 1, 9, 6, 6, 1, 2, 10, 2, 2, 10, 10, 1, 10, 1, 6, 2, 6, 2, 1, 1, 10, 6, 10, 10, 10, 2, 2, 1, 10, 10, 6, 2, 1, 6, 2, 6, 1, 1, 0, 1, 1, 2, 1, 6, 2, 10, 10, 2, 6, 1, 10, 2, 6, 2, 2, 1, 2, 6, 6, 2, 1, 10, 6, 1, 1, 6, 1, 10, 10, 1, 6, 1, 10, 1, 10, 1, 6, 10, 2, 1, 6, 1, 2, 1, 10, 2, 1, 1, 6, 2, 1, 0, 10, 1, 10, 6, 2, 2, 2, 2, 6, 6, 1, 2, 4, 1, 6, 1, 2, 1, 6, 2, 1, 6, 10, 2, 2, 6, 2, 10, 6, 10, 2, 2, 2, 1, 6, 10, 10, 2, 1, 1, 6, 6, 10, 1, 6, 2, 1, 6, 1, 1, 2, 2, 1, 10, 2, 6, 6, 6, 1, 10, 1, 1, 6, 6, 6, 10, 1, 10, 2, 5, 6, 6, 5, 10, 10, 6, 6, 6, 10, 2, 1, 1, 10, 10, 2, 2, 1, 2, 10, 2, 2, 1, 10, 1, 2, 1, 6, 10, 2, 6, 5, 2, 1, 2, 6, 2, 50, 1, 1, 10, 5, 2, 1, 2, 1, 6, 1, 10, 9, 2, 6, 10, 1, 6, 10, 1, 10, 2, 10, 6, 10, 2, 1, 10, 10, 6, 10, 2, 1, 10, 6, 6, 6, 6, 2, 10, 1, 6, 1, 1, 1, 1, 10, 6, 2, 10, 1, 10, 1, 6, 2, 2, 2, 2, 10, 1, 10, 6, 2, 2, 2, 4, 2, 0, 2, 6, 1, 6, 10, 1, 1, 6, 6, 1, 1, 5, 10, 2, 2, 1, 1, 2, 2, 1, 6, 4, 1, 2, 1, 6, 2, 2, 10, 2, 6, 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10, 10, 10, 10, 6, 10, 6, 6, 1, 2, 6, 10, 9, 1, 10, 6, 10, 2, 2, 10, 10, 2, 6, 6, 1, 6, 9, 10, 1, 2, 10, 0, 6, 6, 6, 1, 6, 6, 1, 2, 2, 2, 1, 10, 1, 1, 6, 2, 10, 1, 6, 1, 1, 2, 10, 6, 2, 6, 1, 2, 6, 1, 1, 6, 10, 0, 2, 10, 2, 1, 6, 10, 1, 1, 10, 2, 10, 1, 6, 2, 6, 1, 2, 1, 2, 10, 2, 1, 1, 10, 6, 1, 0, 1, 1, 6, 2, 1, 6, 2, 10, 10, 6, 6, 10, 1, 6, 2, 10, 1, 1, 2, 1, 2, 1, 2, 6, 10, 6, 10, 10, 6, 2, 6, 1, 10, 2, 10, 10, 10, 2, 2, 10, 10, 2, 2, 6, 5, 2, 6, 6, 2, 2, 0, 6, 10, 2, 1, 1, 10, 6, 2, 2, 6, 1, 2, 6, 10, 1, 1, 1, 6, 6, 6, 5, 10, 10, 10, 10, 1, 10, 2, 2, 2, 9, 1, 2, 6, 10, 10, 10, 1, 1, 2, 10, 6, 1, 1, 10, 1, 1, 2, 1, 2, 10, 10, 6, 6, 2, 6, 2, 2, 10, 2, 2, 6, 1, 6, 1, 2, 1, 2, 2, 10, 1, 1, 1, 2, 6, 10, 2, 2, 1, 2, 2, 2, 10, 1, 2, 6, 6, 6, 6, 10, 6, 1, 2, 2, 10, 6, 6, 10, 10, 10, 1, 2, 10, 1, 10, 2, 6, 1, 10, 1, 10, 6, 2, 1, 10, 1, 10, 2, 10, 2, 10, 6, 10, 6, 2, 2, 2, 1, 1, 2, 6, 10, 1, 1, 2, 1, 2, 6, 6, 6, 10, 10, 10, 1, 6, 1, 1, 2, 1, 0, 5, 6, 2, 10, 2, 6, 10, 2, 10, 1, 10, 6, 2, 10, 6, 1, 2, 10, 6, 6, 6, 2, 1, 10, 2, 1, 2, 10, 6, 2, 10, 1, 1, 10, 10, 6, 5, 10, 6, 2, 2, 6, 6, 6, 2, 2, 10, 1, 1, 2, 5, 10, 6, 10, 2, 6, 2, 2, 2, 10, 6, 1, 10, 1, 2, 1, 6, 10, 10, 6, 10, 1, 2, 10, 1, 10, 2, 2, 6, 2, 10, 6, 2, 2, 1, 10, 2, 2, 2, 1, 6, 10, 10, 10, 10, 2, 1, 6, 10, 6, 2, 6, 10, 10, 10, 10, 2, 6, 1, 6, 2, 2, 2, 1, 2, 6, 6, 6, 6, 10, 2, 2, 6, 9, 1, 1, 1, 2, 10, 10, 2, 10, 1, 2, 6, 6, 10, 10, 6, 6, 6, 1, 10, 2, 6, 10, 2, 10, 0, 2, 2, 10, 1, 10, 6, 6, 1, 10, 1, 10, 10, 1, 6, 6, 2, 2, 6, 6, 1, 10, 10, 4, 2, 6, 2, 2, 0, 2, 6, 2, 2, 0, 10, 1, 9, 10, 2, 1, 10, 1, 1, 1, 2, 2, 10, 2, 10, 6, 1, 6, 6, 10, 2, 2, 6, 1, 1, 2, 2, 6, 2, 10, 10, 10, 2, 1, 6, 10, 10, 10, 10, 1, 10, 1, 6, 10, 2, 10, 2, 10, 6, 6, 6, 1, 6, 2, 10, 6, 10, 6, 6, 6, 10, 6, 1, 2, 1, 6, 6, 6, 10, 2, 10, 1, 6, 1, 2, 6, 6, 1, 10, 10, 1, 2, 9, 10, 1, 1, 2, 2, 1, 1, 10, 10, 1, 2, 1, 1, 2, 1, 2, 2, 10, 10, 10, 2, 10, 6, 6, 6, 10, 10, 1, 10, 2, 1, 1, 2, 6, 6, 10, 2, 6, 6, 2, 10, 1, 6, 2, 2, 6, 1, 10, 2, 6, 0, 6, 6, 1, 1, 6, 6, 2, 10, 2, 2, 6, 4, 2, 10, 6, 1, 6, 2, 1, 0, 2, 10, 2, 0, 1, 2, 2, 6, 2, 10, 2, 6, 6, 6, 1, 10, 10, 2, 6, 1, 5, 1, 2, 10, 10, 6, 10, 1, 6, 2, 10, 6, 0, 6, 6, 2, 1, 2, 6, 1, 1, 10, 10, 1, 2, 6, 10, 10, 6, 1, 1, 2, 2, 1, 6, 10, 2, 6, 10, 10, 10, 10, 2, 10, 6, 6, 6, 6, 2, 1, 2, 6, 10, 6, 2, 10, 1, 6, 1, 1, 10, 6, 1, 6, 2, 6, 1, 10, 2, 1, 10, 1, 1, 2, 1, 6, 10, 2, 10, 2, 2, 10, 10, 10, 1, 1, 2, 10, 2, 2, 9, 2, 2, 1, 1, 6, 10, 1, 1, 4, 6, 1, 1, 2, 10, 6, 10, 6, 1, 1, 10, 2, 10, 6, 1, 2, 1, 5, 2, 1, 6, 6, 6, 10, 2, 1, 10, 6, 10, 6, 10, 1, 10, 10, 10, 10, 6, 1, 1, 1, 6, 10, 6, 2, 10, 10, 1, 1, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 10, 6, 2, 1, 2, 10, 6, 6, 6, 1, 10, 6, 1, 10, 6, 5, 6, 10, 10, 6, 1, 10, 9, 6, 1, 2, 1, 6, 10, 6, 10, 2, 1, 10, 10, 1, 10, 2, 6, 2, 6, 6, 1, 6, 1, 2, 2, 10, 2, 1, 1, 1, 0, 6, 10, 6, 1, 2, 1, 6, 6, 10, 10, 6, 6, 10, 2, 1, 4, 2, 2, 6, 10, 6, 6, 10, 2, 2, 6, 6, 1, 10, 6, 6, 6, 10, 6, 1, 10, 9, 10, 10, 5, 1, 10, 1, 10, 1, 2, 10, 6, 10, 6, 2, 1, 10, 2, 10, 2, 10, 10, 10, 2, 6, 6, 1, 6, 10, 2, 6, 10, 6, 2, 10, 1, 1, 1, 1, 2, 6, 2, 4, 6, 0, 6, 1, 6, 1, 2, 6, 10, 1, 1, 6, 10, 10, 6, 1, 6, 10, 10, 2, 10, 10, 2, 10, 1, 10, 1, 2, 10, 10, 6, 1, 10, 6, 10, 6, 6, 5, 2, 1, 10, 10, 10, 1, 6, 6, 2, 2, 6, 6, 10, 6, 6, 6, 6, 6, 1, 2, 2, 4, 10, 6, 6, 1, 1, 2, 2, 2, 6, 6, 6, 2, 1, 6, 10, 10, 10, 1, 1, 1, 1, 2, 10, 1, 1, 10, 1, 1, 10, 6, 6, 10, 10, 1, 1, 1, 6, 10, 10, 1, 2, 10, 1, 10, 10, 2, 10, 6, 2, 6, 2, 10, 10, 6, 10, 2, 10, 10, 2, 6, 1, 6, 2, 9, 2, 1, 1, 1, 10, 6, 2, 10, 1, 10, 1, 1, 1, 10, 6, 1, 2, 1, 1, 6, 6, 2, 2, 10, 2, 1, 10, 6, 2, 1, 6, 10, 0, 10, 2, 6, 1, 10, 1, 6, 6, 1, 2, 6, 6, 6, 2, 1, 10, 10, 2, 1, 6, 5, 5, 6, 10, 10, 10, 10, 2, 6, 10, 10, 1, 6, 1, 2, 1, 10, 10, 1, 2, 10, 10, 6, 1, 6, 6, 2, 6, 2, 2, 10, 10, 6, 2, 2, 1, 6, 10, 10, 6, 1, 2, 2, 1, 10, 6, 10, 1, 1, 1, 10, 5, 2, 1, 2, 1, 10, 1, 2, 5, 6, 6, 10, 1, 1, 6, 1, 10, 10, 1, 10, 10, 10, 2, 1, 6, 10, 6, 10, 6, 1, 2, 2, 2, 10, 2, 1, 10, 1, 2, 1, 10, 6, 1, 6, 1, 6, 1, 2, 2, 10, 6, 6, 1, 2, 2, 10, 6, 10, 1, 2, 1, 1, 6, 6, 2, 1, 10, 10, 40, 2, 1, 1, 10, 6, 6, 1, 1, 10, 6, 2, 6, 10, 1, 10, 1, 1, 6, 10, 6, 6, 1, 10, 1, 10, 2, 1, 1, 6, 1, 2, 10, 6, 6, 10, 1, 2, 6, 2, 6, 1, 10, 10, 1, 10, 6, 6, 1, 2, 2, 1, 2, 6, 1, 2, 10, 1, 10, 2, 6, 6, 2, 2, 6, 10, 4, 6, 1, 2, 1, 10, 2, 6, 9, 10, 1, 1, 10, 6, 2, 10, 2, 3, 1, 2, 2, 1, 6, 2, 6, 10, 1, 6, 1, 6, 1, 2, 10, 2, 1, 1, 2, 2, 1, 2, 1, 1, 10, 4, 1, 10, 10, 6, 2, 2, 1, 10, 6, 1, 6, 1, 10, 2, 6, 10, 2, 10, 1, 6, 2, 10, 2, 6, 2, 1, 2, 0, 1, 2, 6, 10, 2, 10, 2, 1, 6, 2, 2, 1, 2, 10, 1, 6, 6, 2, 10, 2, 1, 2, 1, 10, 1, 1, 6, 1, 2, 10, 2, 2, 10, 6, 2, 10, 1, 1, 6, 1, 6, 2, 10, 9, 2, 6, 10, 10, 6, 2, 2, 6, 10, 6, 10, 1, 6, 6, 6, 2, 1, 6, 6, 2, 2, 10, 10, 2, 9, 6, 2, 6, 2, 2, 6, 10, 6, 10, 6, 2, 1, 1, 6, 10, 1, 1, 2, 10, 2, 10, 1, 10, 2, 2, 10, 10, 10, 6, 5, 10, 1, 10, 10, 1, 1, 2, 6, 4, 2, 0, 6, 6, 1, 10, 6, 10, 6, 10, 10, 6, 10, 10, 2, 2, 10, 10, 2, 2, 6, 2, 2, 10, 1, 6, 10, 10, 6, 6, 10, 10, 1, 1, 6, 10, 6, 10, 10, 2, 2, 1, 2, 2, 6, 6, 2, 6, 10, 2, 10, 6, 1, 2, 2, 1, 10, 10, 6, 2, 6, 2, 10, 6, 1, 10, 2, 0, 10, 2, 10, 2, 6, 10, 10, 1, 10, 6, 2, 10, 10, 10, 2, 1, 2, 10, 1, 1, 2, 6, 6, 6, 6, 10, 10, 6, 1, 1, 10, 10, 6, 6, 2, 2, 2, 10, 2, 10, 10, 10, 6, 10, 6, 2, 2, 10, 10, 2, 6, 2, 10, 1, 10, 10, 10, 6, 1, 1, 10, 6, 6, 10, 10, 10, 6, 2, 6, 2, 1, 6, 1, 5, 10, 10, 1, 2, 2, 1, 6, 2, 2, 2, 2, 10, 6, 6, 2, 1, 1, 1, 10, 6, 1, 1, 6, 1, 6, 6, 2, 6, 2, 1, 10, 1, 10, 1, 1, 6, 1, 6, 1, 10, 2, 10, 2, 1, 2, 2, 10, 6, 10, 6, 2, 2, 10, 2, 1, 6, 6, 2, 1, 10, 2, 1, 1, 6, 1, 2, 6, 6, 1, 1, 5, 2, 1, 6, 1, 1, 6, 2, 10, 10, 2, 10, 1, 1, 6, 60, 2, 10, 10, 6, 10, 1, 2, 6, 6, 2, 2, 2, 1, 6, 2, 2, 1, 2, 6, 2, 2, 1, 2, 6, 1, 1, 2, 6, 10, 1, 10, 2, 1, 6, 6, 10, 2, 10, 1, 10, 6, 1, 1, 1, 0, 6, 10, 2, 6, 6, 6, 2, 1, 1, 10, 10, 1, 10, 1, 1, 1, 6, 6, 9, 10, 2, 2, 2, 2, 6, 10, 6, 2, 2, 10, 2, 1, 6, 10, 2, 1, 10, 6, 1, 2, 10, 10, 2, 2, 6, 6, 1, 6, 1, 10, 10, 1, 2, 6, 1, 6, 2, 6, 6, 2, 1, 1, 10, 6, 10, 10, 10, 1, 6, 2, 10, 1, 6, 10, 2, 10, 0, 10, 6, 9, 1, 1, 6, 2, 10, 10, 2, 1, 10, 6, 2, 10, 6, 6, 2, 6, 1, 10, 10, 10, 6, 10, 6, 2, 6, 1, 10, 6, 1, 1, 2, 6, 6, 1, 2, 2, 1, 1, 1, 6, 1, 6, 10, 10, 6, 6, 6, 2, 6, 6, 1, 1, 1, 6, 2, 1, 1, 10, 2, 2, 1, 6, 5, 10, 6, 6, 1, 1, 1, 2, 2, 10, 2, 6, 6, 2, 1, 2, 2, 1, 10, 10, 6, 6, 1, 10, 1, 6, 1, 6, 6, 6, 2, 2, 2, 1, 6, 0, 10, 10, 2, 10, 2, 6, 1, 2, 2, 10, 2, 6, 6, 2, 10, 10, 10, 6, 10, 10, 6, 2, 1, 2, 10, 10, 1, 10, 1, 2, 1, 10, 10, 6, 2, 1, 10, 1, 10, 6, 6, 6, 10, 6, 6, 6, 2, 1, 1, 10, 6, 4, 0, 2, 1, 10, 5, 6, 1, 6, 2, 2, 6, 10, 6, 6, 1, 2, 10, 10, 6, 10, 10, 1, 2, 0, 10, 10, 1, 6, 6, 2, 6, 1, 10, 10, 1, 1, 10, 10, 2, 2, 10, 10, 2, 6, 10, 2, 6, 5, 6, 6, 1, 2, 10, 9, 1, 1, 6, 6, 1, 1, 6, 6, 6, 2, 10, 1, 1, 6, 1, 2, 6, 1, 6, 1, 6, 1, 2, 10, 6, 6, 10, 2, 1, 1, 2, 5, 10, 2, 10, 10, 6, 1, 1, 1, 2, 2, 2, 1, 2, 10, 1, 6, 2, 2, 6, 2, 10, 6, 2, 6, 6, 6, 2, 10, 6, 10, 2, 6, 1, 5, 1, 10, 10, 6, 2, 6, 10, 10, 1, 5, 2, 10, 2, 6, 10, 1, 2, 1, 6, 1, 10, 10, 10, 6, 10, 6, 60, 2, 2, 1, 2, 1, 6, 2, 6, 1, 10, 1, 1, 2, 1, 6, 10, 2, 4, 2, 10, 10, 10, 10, 1, 10, 6, 2, 6, 2, 2, 6, 1, 6, 6, 1, 1, 6, 10, 1, 6, 2, 2, 6, 1, 6, 10, 10, 6, 10, 1, 2, 1, 2, 2, 2, 6, 6, 2, 2, 1, 1, 2, 10, 1, 10, 10, 1, 1, 6, 10, 6, 2, 2, 10, 1, 10, 6, 1, 6, 10, 10, 2, 2, 10, 2, 10, 5, 10, 10, 2, 10, 0, 10, 6, 6, 1, 6, 6, 6, 5, 10, 10, 2, 10, 1, 6, 10, 10, 4, 6, 6, 1, 2, 2, 6, 10, 10, 10, 10, 2, 2, 2, 10, 1, 1, 6, 1, 1, 10, 6, 6, 2, 1, 1, 2, 2, 6, 2, 2, 10, 6, 10, 2, 2, 1, 6, 2, 2, 1, 1, 6, 1, 2, 2, 2, 10, 10, 1, 1, 1, 6, 2, 2, 1, 6, 10, 1, 10, 4, 1, 1, 10, 1, 1, 2, 10, 10, 10, 6, 6, 1, 2, 1, 6, 1, 2, 2, 1, 2, 10, 1, 1, 2, 2, 6, 2, 1, 6, 1, 6, 10, 10, 6, 1, 6, 2, 1, 1, 2, 6, 5, 1, 6, 1, 6, 1, 10, 10, 6, 10, 10, 2, 2, 2, 2, 6, 1, 1, 1, 2, 1, 10, 6, 1, 2, 1, 1, 6, 10, 2, 1, 6, 6, 10, 2, 1, 6, 6, 2, 1, 10, 2, 2, 10, 10, 1, 6, 1, 6, 1, 1, 1, 2, 10, 1, 1, 2, 2, 6, 10, 6, 1, 2, 10, 2, 2, 2, 10, 6, 2, 10, 10, 10, 10, 2, 6, 10, 2, 1, 10, 1, 10, 2, 6, 10, 5, 1, 6, 2, 10, 10, 6, 1, 6, 1, 10, 10, 6, 1, 1, 1, 10, 2, 2, 1, 10, 10, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 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6, 10, 6, 6, 10, 2, 2, 10, 2, 4, 6, 6, 10, 1, 2, 2, 1, 2, 1, 1, 2, 9, 10, 1, 6, 1, 10, 9, 6, 1, 1, 10, 10, 6, 2, 10, 1, 6, 10, 10, 2, 6, 2, 10, 1, 4, 6, 6, 1, 6, 1, 10, 2, 6, 1, 1, 2, 10, 1, 10, 6, 2, 10, 4, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 6, 10, 1, 1, 6, 1, 10, 10, 2, 5, 6, 2, 6, 6, 1, 10, 2, 2, 10, 10, 10, 10, 10, 6, 6, 2, 6, 10, 2, 1, 1, 10, 10, 2, 9, 10, 6, 6, 10, 10, 1, 10, 2, 1, 2, 10, 10, 6, 10, 6, 5, 2, 6, 1, 1, 10, 1, 6, 6, 10, 2, 10, 6, 6, 10, 10, 6, 5, 2, 2, 2, 6, 9, 1, 6, 6, 1, 2, 1, 10, 6, 2, 5, 1, 1, 1, 2, 2, 1, 6, 2, 6, 1, 2, 1, 1, 1, 2, 9, 10, 6, 6, 10, 2, 6, 6, 6, 6, 2, 6, 1, 6, 10, 2, 6, 2, 2, 10, 2, 2, 1, 10, 1, 1, 2, 2, 2, 10, 1, 6, 1, 2, 10, 1, 4, 6, 1, 6, 10, 6, 2, 1, 2, 0, 1, 10, 6, 6, 2, 2, 10, 10, 1, 6, 2, 6, 6, 10, 1, 10, 6, 6, 10, 6, 2, 6, 2, 10, 1, 10, 1, 10, 10, 1, 10, 6, 1, 10, 2, 6, 2, 1, 6, 2, 6, 2, 2, 6, 2, 10, 6, 6, 2, 10, 6, 1, 2, 1, 1, 6, 10, 1, 2, 2, 1, 6, 1, 2, 6, 6, 10, 1, 0, 6, 10, 2, 6, 6, 2, 1, 2, 10, 4, 1, 1, 6, 1, 2, 1, 1, 10, 1, 10, 1, 1, 1, 10, 2, 10, 5, 2, 1, 2, 6, 1, 6, 6, 1, 1, 2, 1, 1, 2, 6, 6, 10, 2, 1, 10, 0, 1, 2, 1, 6, 10, 2, 1, 2, 10, 9, 2, 10, 10, 2, 1, 2, 2, 10, 2, 2, 10, 2, 1, 6, 10, 2, 6, 1, 1, 1, 2, 10, 1, 6, 0, 1, 10, 1, 10, 1, 2, 6, 2, 10, 1, 10, 10, 6, 6, 2, 6, 10, 2, 1, 6, 1, 6, 1, 2, 2, 1, 2, 6, 6, 10, 1, 1, 6, 6, 1, 1, 10, 6, 2, 10, 2, 2, 2, 1, 1, 2, 1, 2, 6, 2, 6, 10, 6, 6, 1, 6, 2, 6, 10, 2, 10, 10, 2, 2, 0, 6, 10, 10, 1, 1, 1, 6, 6, 6, 1, 10, 1, 10, 6, 2, 2, 6, 1, 10, 10, 1, 2, 1, 10, 2, 10, 1, 1, 6, 2, 2, 2, 1, 1, 6, 1, 2, 2, 10, 10, 6, 10, 1, 1, 6, 1, 6, 6, 2, 2, 2, 1, 10, 10, 10, 10, 2, 6, 2, 6, 10, 1, 6, 6, 2, 1, 6, 2, 10, 2, 10, 6, 6, 2, 1, 1, 10, 6, 6, 1, 6, 2, 10, 10, 10, 2, 10, 10, 10, 2, 6, 10, 10, 1, 10, 1, 1, 2, 2, 1, 1, 1, 10, 6, 10, 2, 10, 2, 1, 10, 6, 10, 2, 10, 4, 1, 6, 1, 6, 1, 10, 6, 6, 5, 9, 10, 10, 1, 10, 1, 1, 10, 1, 0, 10, 1, 6, 1, 6, 1, 2, 1, 6, 2, 2, 6, 6, 1, 2, 6, 6, 6, 2, 2, 2, 10, 2, 1, 1, 10, 6, 2, 1, 1, 10, 2, 6, 1, 1, 10, 10, 10, 1, 6, 1, 2, 2, 6, 1, 2, 10, 10, 2, 1, 6, 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10, 1, 10, 1, 6, 10, 2, 1, 2, 10, 6, 6, 10, 6, 6, 2, 9, 1, 2, 2, 10, 6, 1, 1, 6, 10, 6, 2, 1, 10, 1, 2, 6, 6, 9, 6, 10, 2, 10, 2, 6, 10, 9, 6, 10, 6, 1, 6, 10, 10, 6, 10, 1, 1, 6, 10, 1, 1, 10, 10, 10, 10, 10, 10, 10, 1, 10, 4, 1, 10, 1, 6, 1, 10, 6, 6, 10, 10, 2, 1, 10, 5, 10, 1, 10, 6, 1, 2, 6, 2, 6, 2, 1, 1, 6, 2, 1, 2, 6, 2, 6, 10, 0, 2, 6, 2, 10, 2, 4, 2, 6, 1, 1, 1, 2, 6, 6, 10, 6, 6, 10, 10, 1, 6, 6, 6, 2, 10, 2, 2, 1, 1, 6, 2, 6, 5, 6, 10, 6, 1, 1, 6, 6, 10, 1, 1, 6, 6, 5, 6, 6, 6, 1, 3, 10, 6, 2, 1, 2, 2, 1, 1, 5, 10, 10, 1, 6, 10, 6, 6, 1, 2, 2, 10, 6, 10, 2, 2, 6, 6, 1, 6, 1, 10, 2, 2, 1, 1, 10, 1, 6, 1, 1, 2, 1, 1, 2, 10, 4, 6, 1, 1, 1, 2, 2, 6, 0, 10, 2, 1, 10, 1, 1, 1, 10, 2, 1, 10, 5, 10, 10, 1, 10, 6, 2, 10, 6, 10, 2, 2, 2, 6, 10, 6, 10, 4, 10, 6, 10, 10, 2, 9, 1, 1, 1, 2, 2, 10, 1, 1, 10, 1, 2, 10, 2, 10, 10, 10, 2, 6, 6, 6, 1, 6, 2, 2, 1, 1, 10, 1, 1, 1, 1, 1, 0, 6, 10, 8, 2, 2, 6, 1, 6, 6, 10, 1, 2, 1, 6, 1, 10, 10, 10, 6, 2, 4, 6, 1, 2, 10, 10, 2, 1, 2, 1, 5, 1, 10, 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10, 6, 1, 1, 2, 10, 2, 6, 6, 1, 6, 1, 1, 6, 10, 10, 1, 10, 10, 2, 2, 6, 10, 10, 10, 10, 6, 4, 10, 10, 6, 6, 10, 6, 1, 6, 10, 10, 2, 2, 2, 2, 6, 1, 2, 2, 10, 1, 2, 1, 1, 6, 2, 10, 1, 10, 2, 10, 4, 10, 10, 1, 2, 40, 2, 6, 6, 2, 2, 2, 10, 2, 1, 6, 2, 1, 10, 6, 6, 6, 1, 10, 1, 2, 10, 2, 1, 10, 1, 10, 1, 6, 6, 2, 2, 10, 6, 1, 10, 2, 1, 10, 6, 6, 2, 1, 1, 2, 6, 6, 10, 2, 2, 6, 6, 1, 6, 6, 9, 2, 1, 2, 2, 0, 10, 6, 2, 6, 6, 1, 6, 10, 6, 2, 1, 2, 6, 10, 10, 2, 1, 1, 1, 6, 2, 9, 10, 0, 2, 0, 6, 6, 6, 6, 6, 6, 1, 2, 10, 6, 2, 6, 2, 1, 2, 6, 1, 2, 2, 2, 4, 6, 6, 6, 1, 1, 2, 1, 1, 2, 2, 6, 1, 6, 1, 10, 2, 1, 6, 10, 10, 6, 10, 10, 10, 6, 1, 1, 6, 1, 6, 1, 2, 2, 6, 6, 1, 10, 1, 6, 6, 5, 10, 6, 1, 10, 1, 2, 2, 2, 2, 10, 1, 10, 2, 10, 10, 1, 10, 1, 6, 1, 10, 1, 10, 1, 2, 6, 2, 1, 2, 1, 2, 1, 6, 6, 1, 2, 2, 1, 10, 6, 2, 10, 10, 6, 6, 2, 2, 10, 10, 1, 1, 1, 2, 6, 1, 10, 6, 10, 6, 6, 1, 9, 2, 6, 1, 6, 1, 6, 1, 6, 1, 6, 10, 10, 6, 10, 2, 2, 1, 10, 2, 1, 2, 6, 6, 2, 10, 6, 6, 10, 1, 6, 1, 6, 1, 4, 6, 1, 1, 1, 1, 2, 2, 2, 10, 10, 1, 2, 2, 1, 2, 1, 6, 1, 10, 6, 6, 1, 6, 2, 1, 1, 10, 2, 10, 1, 10, 10, 10, 6, 2, 2, 1, 6, 2, 1, 10, 2, 5, 10, 1, 2, 2, 10, 1, 1, 2, 10, 10, 2, 1, 10, 2, 2, 5, 6, 2, 6, 1, 2, 10, 6, 5, 0, 1, 6, 1, 2, 2, 2, 6, 1, 6, 2, 6, 10, 10, 6, 10, 6, 6, 6, 1, 6, 6, 10, 10, 1, 6, 1, 6, 1, 1, 10, 10, 2, 1, 2, 1, 1, 10, 1, 10, 2, 10, 2, 2, 10, 1, 1, 6, 1, 1, 6, 10, 1, 10, 6, 2, 10, 10, 6, 2, 1, 1, 2, 6, 1, 2, 1, 10, 2, 10, 9, 6, 10, 10, 10, 1, 6, 1, 6, 2, 1, 6, 1, 10, 2, 1, 10, 1, 10, 6, 10, 4, 1, 10, 2, 10, 2, 1, 10, 1, 10, 10, 1, 10, 1, 2, 1, 10, 6, 1, 1, 10, 6, 1, 1, 10, 2, 2, 2, 6, 10, 2, 6, 0, 6, 6, 1, 1, 2, 1, 1, 6, 1, 1, 6, 10, 2, 10, 6, 1, 6, 6, 10, 1, 6, 2, 2, 2, 10, 1, 2, 10, 2, 6, 6, 9, 6, 6, 1, 1, 10, 1, 1, 6, 10, 10, 1, 10, 2, 1, 1, 1, 1, 2, 6, 10, 2, 6, 2, 1, 10, 6, 1, 2, 6, 2, 6, 1, 10, 1, 10, 6, 6, 10, 10, 1, 1, 6, 1, 6, 10, 2, 10, 10, 4, 6, 6, 6, 6, 6, 1, 6, 10, 2, 10, 10, 2, 2, 6, 6, 10, 2, 10, 1, 10, 2, 2, 6, 6, 2, 2, 10, 6, 2, 2, 10, 2, 2, 2, 1, 10, 10, 10, 10, 1, 10, 2, 2, 6, 1, 6, 1, 6, 2, 5, 10, 6, 2, 2, 10, 6, 2, 10, 6, 6, 6, 5, 1, 10, 1, 6, 6, 1, 10, 6, 2, 1, 6, 2, 6, 2, 1, 6, 6, 2, 1, 1, 10, 6, 10, 2, 1, 1, 1, 4, 1, 10, 6, 5, 1, 2, 1, 6, 1, 2, 1, 1, 2, 9, 6, 6, 1, 10, 10, 0, 2, 6, 2, 1, 2, 6, 6, 2, 1, 1, 2, 10, 10, 4, 6, 10, 1, 1, 10, 0, 10, 1, 1, 2, 10, 1, 6, 2, 2, 1, 6, 6, 6, 10, 1, 10, 6, 6, 1, 6, 1, 6, 10, 1, 6, 10, 1, 1, 2, 4, 4, 5, 2, 10, 10, 1, 10, 6, 2, 1, 0, 10, 1, 10, 1, 1, 10, 10, 1, 2, 1, 2, 6, 6, 1, 6, 6, 6, 2, 10, 10, 6, 2, 2, 10, 2, 1, 6, 6, 1, 6, 1, 2, 5, 10, 6, 10, 10, 10, 1, 2, 9, 10, 10, 1, 2, 6, 6, 2, 2, 2, 6, 1, 6, 2, 0, 1, 10, 2, 1, 6, 1, 2, 6, 10, 10, 1, 6, 1, 0, 1, 1, 6, 6, 2, 2, 1, 6, 1, 10, 6, 6, 10, 6, 10, 10, 6, 2, 10, 6, 6, 2, 6, 2, 10, 6, 10, 10, 9, 6, 1, 1, 2, 6, 6, 2, 0, 10, 10, 2, 2, 10, 6, 10, 2, 2, 1, 10, 1, 6, 10, 1, 1, 2, 2, 1, 10, 1, 10, 6, 2, 1, 2, 4, 2, 6, 2, 9, 2, 2, 1, 1, 6, 2, 2, 2, 2, 5, 2, 2, 6, 10, 6, 1, 10, 10, 10, 6, 1, 6, 1, 6, 6, 1, 10, 2, 6, 1, 6, 2, 6, 10, 6, 6, 2, 6, 10, 1, 1, 7, 1, 2, 10, 2, 10, 10, 1, 1, 1, 10, 6, 6, 10, 2, 1, 10, 10, 1, 10, 6, 1, 1, 6, 6, 1, 6, 1, 2, 2, 10, 10, 6, 10, 2, 10, 2, 6, 1, 6, 10, 10, 2, 1, 6, 10, 1, 6, 10, 1, 2, 6, 2, 6, 2, 6, 6, 10, 1, 2, 6, 1, 6, 2, 1, 2, 10, 1, 6, 10, 6, 1, 6, 2, 1, 1, 6, 10, 2, 1, 1, 2, 6, 6, 2, 1, 2, 10, 2, 6, 6, 6, 2, 6, 2, 2, 10, 6, 6, 1, 2, 1, 2, 2, 10, 6, 5, 1, 1, 1, 10, 10, 6, 2, 1, 6, 1, 10, 2, 6, 10, 2, 2, 10, 2, 1, 10, 1, 6, 10, 6, 6, 10, 1, 2, 10, 2, 2, 10, 6, 6, 6, 10, 6, 6, 10, 10, 3, 2, 2, 2, 10, 6, 6, 9, 1, 2, 1, 6, 10, 6, 2, 2, 10, 2, 6, 6, 2, 1, 10, 2, 6, 2, 10, 1, 6, 6, 6, 1, 1, 10, 1, 6, 1, 2, 6, 1, 1, 1, 2, 2, 2, 2, 6, 6, 2, 10, 10, 6, 6, 10, 6, 6, 6, 10, 2, 6, 0, 6, 2, 1, 1, 10, 1, 1, 2, 6, 0, 6, 2, 6, 6, 2, 2, 6, 10, 1, 2, 10, 2, 10, 1, 6, 10, 10, 6, 10, 10, 6, 1, 1, 10, 2, 6, 10, 2, 6, 10, 10, 6, 10, 6, 6, 1, 6, 2, 6, 2, 2, 7, 10, 2, 2, 6, 10, 2, 2, 2, 1, 6, 1, 6, 1, 6, 6, 10, 2, 1, 6, 6, 1, 2, 6, 1, 10, 2, 2, 2, 1, 1, 10, 10, 6, 5, 6, 2, 1, 1, 10, 10, 1, 6, 6, 10, 2, 2, 10, 2, 2, 10, 6, 10, 1, 2, 1, 6, 10, 1, 6, 2, 10, 6, 1, 6, 2, 2, 6, 10, 1, 1, 6, 2, 10, 1, 10, 10, 6, 6, 10, 2, 1, 1, 1, 6, 10, 1, 1, 2, 10, 10, 6, 6, 1, 2, 10, 2, 2, 6, 1, 1, 6, 2, 6, 2, 6, 2, 1, 6, 2, 1, 1, 2, 10, 6, 1, 1, 2, 2, 1, 6, 2, 2, 10, 10, 6, 6, 6, 10, 1, 10, 10, 1, 1, 1, 10, 6, 6, 2, 2, 10, 6, 6, 10, 2, 10, 1, 1, 1, 2, 1, 5, 1, 6, 10, 10, 2, 2, 1, 2, 6, 1, 1, 6, 10, 6, 10, 6, 10, 0, 10, 2, 1, 10, 1, 10, 6, 2, 10, 6, 1, 2, 2, 2, 2, 1, 6, 10, 6, 10, 6, 10, 1, 1, 1, 6, 1, 2, 10, 6, 1, 6, 10, 2, 10, 6, 6, 1, 10, 2, 2, 1, 2, 1, 1, 6, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 10, 2, 10, 1, 2, 1, 2, 1, 1, 2, 2, 6, 2, 1, 0, 6, 6, 2, 10, 10, 6, 6, 2, 6, 1, 1, 10, 1, 6, 10, 10, 1, 10, 6, 6, 2, 2, 2, 1, 10, 1, 6, 1, 10, 10, 2, 10, 10, 10, 6, 6, 6, 10, 4, 2, 6, 6, 2, 2, 2, 2, 2, 10, 2, 6, 1, 2, 1, 6, 2, 10, 2, 1, 10, 1, 6, 1, 10, 2, 2, 2, 2, 2, 2, 10, 10, 1, 1, 2, 1, 10, 10, 10, 1, 6, 6, 2, 2, 2, 10, 6, 10, 10, 2, 2, 6, 2, 1, 1, 10, 6, 6, 6, 10, 10, 2, 2, 2, 10, 1, 6, 6, 0, 2, 5, 1, 2, 6, 1, 10, 5, 10, 2, 6, 1, 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10, 2, 5, 6, 1, 1, 6, 2, 10, 10, 2, 6, 6, 10, 10, 6, 10, 1, 6, 1, 1, 10, 10, 9, 2, 4, 1, 2, 1, 2, 2, 6, 10, 2, 1, 10, 6, 2, 10, 1, 2, 2, 6, 2, 6, 6, 1, 1, 6, 2, 6, 2, 6, 6, 1, 1, 6, 6, 1, 10, 10, 2, 6, 2, 6, 6, 1, 10, 10, 10, 6, 2, 6, 10, 10, 1, 10, 1, 2, 2, 6, 6, 1, 2, 6, 6, 2, 2, 1, 6, 1, 2, 10, 6, 2, 10, 10, 10, 1, 1, 9, 1, 2, 10, 5, 1, 6, 10, 1, 1, 2, 1, 2, 2, 2, 1, 10, 2, 2, 10, 6, 6, 1, 1, 2, 1, 1, 1, 2, 1, 10, 10, 1, 10, 10, 1, 6, 10, 1, 2, 6, 1, 10, 2, 2, 2, 10, 10, 6, 6, 6, 1, 6, 6, 10, 2, 1, 4, 1, 1, 1, 1, 2, 10, 1, 0, 10, 6, 6, 6, 2, 1, 2, 6, 2, 10, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 10, 6, 1, 2, 2, 6, 6, 2, 10, 6, 2, 2, 6, 10, 2, 6, 6, 6, 5, 1, 6, 6, 6, 2, 6, 10, 6, 0, 10, 1, 1, 1, 10, 1, 2, 10, 2, 2, 1, 6, 1, 2, 6, 6, 1, 0, 10, 6, 2, 2, 6, 6, 2, 10, 2, 6, 1, 1, 2, 1, 10, 6, 2, 1, 10, 6, 2, 10, 2, 10, 1, 2, 1, 6, 2, 6, 1, 1, 6, 6, 10, 2, 10, 9, 10, 6, 1, 2, 10, 6, 1, 1, 6, 6, 1, 2, 10, 4, 2, 1, 1, 1, 2, 2, 10, 6, 1, 1, 1, 1, 6, 6, 2, 1, 10, 2, 2, 1, 9, 90, 1, 1, 10, 10, 10, 10, 10, 6, 6, 6, 2, 10, 6, 6, 10, 2, 10, 6, 0, 2, 10, 1, 1, 6, 10, 1, 6, 1, 2, 6, 10, 6, 10, 2, 6, 1, 10, 10, 2, 6, 10, 0, 10, 10, 2, 10, 2, 10, 1, 2, 6, 1, 1, 10, 10, 1, 1, 1, 6, 2, 6, 2, 6, 6, 6, 6, 10, 2, 5, 10, 2, 1, 10, 2, 10, 10, 2, 10, 6, 10, 10, 2, 2, 1, 0, 5, 2, 2, 9, 1, 2, 2, 10, 10, 0, 1, 2, 6, 10, 9, 6, 1, 2, 1, 1, 2, 10, 6, 10, 1, 1, 6, 6, 2, 6, 10, 1, 2, 2, 2, 1, 10, 2, 6, 2, 10, 6, 10, 2, 2, 2, 2, 2, 2, 1, 1, 10, 10, 6, 4, 10, 10, 1, 1, 6, 1, 1, 6, 10, 10, 10, 10, 6, 10, 2, 6, 1, 1, 10, 10, 2, 6, 6, 10, 10, 10, 6, 1, 1, 4, 1, 10, 10, 10, 10, 1, 6, 6, 2, 2, 2, 6, 2, 6, 6, 1, 10, 1, 6, 1, 1, 10, 10, 10, 2, 10, 6, 1, 2, 10, 6, 2, 10, 10, 10, 10, 1, 10, 2, 10, 1, 2, 10, 1, 6, 1, 2, 10, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6, 6, 6, 2, 6, 1, 2, 2, 10, 2, 10, 6, 1, 1, 2, 10, 2, 2, 10, 10, 10, 2, 10, 6, 6, 1, 10, 4, 10, 2, 6, 2, 1, 10, 10, 2, 1, 1, 5, 1, 6, 2, 1, 10, 1, 6, 1, 1, 2, 2, 10, 6, 6, 1, 1, 1, 2, 10, 1, 6, 1, 2, 10, 2, 6, 6, 10, 10, 2, 1, 10, 2, 2, 6, 6, 2, 6, 10, 1, 1, 6, 10, 2, 1, 10, 10, 1, 10, 2, 10, 2, 1, 10, 1, 1, 2, 2, 2, 2, 2, 6, 10, 2, 6, 2, 1, 2, 1, 0, 1, 1, 10, 1, 2, 2, 10, 6, 1, 2, 6, 10, 2, 2, 6, 1, 6, 1, 10, 1, 0, 2, 1, 2, 2, 2, 10, 1, 6, 10, 10, 10, 2, 6, 1, 10, 10, 10, 1, 10, 1, 1, 10, 2, 10, 6, 9, 6, 6, 10, 6, 2, 1, 1, 10, 6, 10, 6, 2, 2, 1, 10, 1, 2, 1, 2, 6, 2, 1, 10, 1, 10, 1, 10, 1, 6, 2, 6, 2, 1, 1, 6, 10, 10, 1, 10, 1, 10, 6, 6, 2, 10, 1, 10, 9, 10, 2, 2, 2, 2, 10, 2, 2, 1, 6, 9, 6, 10, 1, 2, 1, 1, 6, 2, 10, 6, 6, 10, 6, 1, 6, 10, 2, 1, 2, 2, 0, 1, 6, 2, 6, 6, 2, 1, 10, 1, 10, 1, 6, 10, 10, 2, 2, 6, 6, 1, 2, 2, 6, 6, 2, 10, 4, 6, 1, 2, 2, 1, 1, 10, 10, 6, 2, 1, 1, 6, 10, 10, 2, 5, 2, 1, 10, 2, 9, 10, 1, 1, 6, 1, 2, 2, 6, 6, 6, 6, 2, 10, 10, 2, 1, 6, 2, 5, 6, 1, 2, 10, 2, 10, 6, 1, 6, 1, 2, 1, 6, 6, 6, 1, 6, 6, 6, 2, 10, 2, 10, 0, 10, 9, 6, 2, 6, 6, 2, 1, 6, 10, 2, 2, 1, 1, 2, 1, 6, 1, 1, 6, 6, 6, 1, 2, 1, 1, 6, 6, 1, 2, 2, 6, 10, 1, 40, 10, 2, 1, 1, 6, 2, 1, 2, 1, 2, 6, 1, 1, 10, 6, 2, 2, 1, 2, 2, 10, 6, 6, 2, 2, 1, 2, 6, 10, 2, 1, 10, 6, 6, 6, 6, 10, 10, 10, 6, 1, 6, 1, 2, 1, 1, 1, 10, 6, 1, 2, 2, 2, 10, 10, 2, 10, 10, 2, 2, 2, 6, 1, 1, 10, 1, 6, 1, 2, 1, 2, 1, 1, 2, 1, 1, 10, 10, 1, 6, 6, 2, 2, 1, 10, 6, 1, 10, 2, 4, 6, 10, 2, 10, 6, 6, 10, 10, 6, 6, 10, 6, 6, 6, 10, 10, 10, 2, 10, 2, 1, 2, 1, 10, 1, 6, 10, 1, 5, 2, 6, 1, 10, 10, 5, 1, 6, 1, 2, 10, 5, 2, 10, 2, 1, 10, 2, 10, 10, 1, 1, 1, 10, 6, 2, 6, 10, 2, 6, 1, 6, 1, 1, 10, 2, 6, 2, 10, 10, 10, 6, 1, 2, 1, 2, 6, 2, 1, 6, 10, 10, 0, 1, 1, 2, 6, 10, 10, 1, 1, 6, 1, 6, 6, 6, 10, 2, 2, 6, 10, 2, 6, 6, 6, 2, 2, 10, 6, 2, 10, 2, 6, 0, 10, 1, 6, 10, 6, 6, 1, 10, 6, 2, 1, 2, 6, 2, 6, 10, 4, 6, 2, 2, 10, 10, 1, 10, 6, 1, 6, 6, 6, 2, 0, 10, 10, 2, 6, 6, 0, 1, 2, 1, 1, 2, 6, 1, 6, 6, 2, 2, 6, 60, 2, 2, 10, 1, 6, 1, 1, 2, 6, 6, 10, 4, 1, 10, 6, 6, 4, 2, 6, 1, 6, 10, 2, 10, 10, 6, 2, 10, 6, 6, 6, 1, 10, 10, 6, 10, 10, 6, 10, 1, 10, 2, 10, 2, 6, 1, 1, 1, 2, 6, 6, 1, 6, 2, 1, 9, 2, 6, 2, 2, 1, 1, 6, 7, 6, 10, 6, 6, 10, 2, 10, 6, 2, 1, 10, 10, 10, 1, 1, 1, 1, 1, 6, 10, 1, 1, 10, 10, 1, 10, 1, 6, 10, 2, 10, 10, 6, 6, 6, 1, 10, 2, 2, 10, 10, 1, 1, 10, 6, 10, 10, 1, 6, 6, 6, 6, 1, 1, 1, 6, 2, 10, 2, 2, 6, 9, 2, 1, 10, 10, 6, 10, 10, 10, 2, 6, 2, 6, 10, 6, 2, 10, 2, 10, 10, 2, 10, 6, 6, 6, 6, 1, 10, 2, 1, 1, 1, 1, 2, 1, 10, 10, 1, 2, 2, 5, 2, 2, 6, 1, 10, 1, 0, 2, 6, 1, 6, 2, 6, 1, 2, 6, 6, 6, 6, 2, 6, 6, 1, 1, 10, 6, 2, 6, 10, 10, 10, 10, 1, 2, 10, 2, 2, 2, 6, 6, 1, 1, 10, 1, 10, 6, 6, 10, 6, 2, 2, 2, 1, 1, 6, 10, 10, 5, 10, 1, 6, 6, 1, 2, 10, 6, 6, 6, 2, 1, 9, 1, 2, 10, 10, 6, 2, 10, 10, 10, 2, 1, 6, 6, 2, 2, 10, 2, 1, 6, 6, 2, 10, 2, 2, 2, 2, 2, 6, 10, 1, 1, 6, 0, 2, 2, 6, 2, 6, 10, 2, 1, 10, 10, 6, 6, 1, 10, 2, 10, 6, 1, 2, 6, 6, 2, 6, 10, 6, 1, 2, 10, 2, 10, 2, 2, 6, 1, 1, 10, 6, 2, 2, 1, 2, 10, 6, 2, 6, 10, 1, 10, 2, 1, 10, 1, 1, 10, 2, 1, 10, 2, 10, 10, 2, 1, 1, 2, 10, 6, 2, 1, 10, 2, 1, 10, 10, 1, 4, 10, 2, 1, 2, 2, 10, 10, 5, 2, 10, 2, 6, 6, 2, 1, 10, 6, 2, 2, 1, 10, 6, 6, 2, 2, 2, 10, 6, 2, 6, 1, 6, 1, 2, 1, 2, 2, 6, 2, 10, 6, 2, 2, 10, 6, 6, 2, 6, 6, 6, 6, 10, 1, 10, 6, 2, 6, 6, 1, 6, 0, 6, 6, 1, 6, 1, 4, 2, 6, 2, 1, 6, 2, 2, 1, 10, 2, 2, 2, 10, 10, 6, 2, 6, 2, 6, 1, 10, 6, 10, 1, 6, 1, 2, 2, 6, 2, 2, 1, 1, 2, 10, 2, 10, 10, 10, 10, 6, 10, 6, 2, 2, 10, 2, 1, 1, 2, 2, 10, 6, 1, 1, 10, 10, 6, 1, 1, 10, 1, 6, 2, 2, 2, 1, 10, 6, 2, 6, 9, 0, 2, 1, 2, 2, 1, 10, 10, 6, 2, 6, 6, 10, 10, 6, 1, 6, 6, 1, 2, 40, 1, 6, 6, 1, 6, 10, 2, 1, 10, 10, 1, 6, 1, 10, 9, 2, 6, 2, 6, 10, 6, 10, 10, 2, 6, 6, 2, 6, 10, 2, 6, 6, 9, 5, 1, 1, 2, 6, 10, 1, 6, 2, 1, 6, 10, 2, 2, 2, 9, 10, 10, 2, 2, 1, 2, 6, 6, 1, 1, 2, 2, 2, 2, 10, 10, 6, 1, 10, 6, 6, 2, 1, 1, 10, 10, 6, 1, 2, 10, 10, 1, 10, 1, 6, 10, 2, 9, 6, 0, 2, 1, 2, 1, 1, 10, 2, 6, 6, 1, 1, 1, 6, 10, 2, 2, 10, 10, 2, 6, 10, 1, 0, 1, 2, 0, 10, 6, 2, 6, 10, 10, 6, 1, 10, 1, 2, 2, 10, 10, 10, 2, 10, 2, 6, 5, 10, 6, 1, 1, 10, 1, 1, 6, 10, 6, 6, 2, 6, 10, 6, 10, 1, 1, 10, 2, 2, 6, 10, 1, 1, 6, 10, 6, 1, 6, 1, 1, 10, 6, 6, 2, 2, 2, 1, 6, 10, 2, 10, 5, 10, 1, 10, 2, 10, 2, 2, 2, 10, 1, 10, 2, 5, 10, 1, 6, 10, 2, 6, 1, 10, 2, 6, 10, 6, 6, 10, 6, 6, 6, 10, 6, 1, 2, 1, 6, 1, 2, 1, 2, 1, 2, 2, 10, 1, 6, 1, 10, 10, 1, 10, 2, 2, 6, 9, 9, 10, 6, 6, 10, 9, 1, 10, 10, 1, 2, 10, 1, 10, 1, 10, 1, 10, 1, 10, 6, 6, 10, 1, 6, 2, 10, 2, 6, 1, 6, 10, 10, 1, 6, 1, 10, 1, 2, 10, 5, 2, 1, 1, 1, 10, 1, 10, 1, 6, 7, 10, 10, 10, 6, 2, 2, 6, 2, 10, 2, 1, 10, 2, 2, 6, 6, 2, 6, 1, 2, 1, 6, 6, 1, 6, 1, 1, 10, 2, 6, 6, 10, 1, 10, 2, 1, 10, 6, 1, 6, 6, 10, 2, 2, 6, 2, 10, 10, 5, 10, 6, 6, 2, 10, 10, 1, 5, 0, 10, 1, 2, 6, 2, 2, 1, 9, 10, 6, 6, 10, 2, 10, 10, 2, 10, 10, 1, 6, 10, 6, 1, 2, 10, 6, 1, 10, 6, 0, 1, 1, 10, 1, 10, 6, 10, 6, 2, 2, 1, 6, 1, 1, 10, 10, 1, 2, 6, 10, 1, 10, 6, 2, 1, 2, 2, 10, 6, 10, 6, 1, 6, 6, 2, 1, 2, 10, 6, 1, 10, 6, 10, 6, 1, 1, 10, 6, 1, 1, 10, 6, 6, 1, 2, 2, 2, 1, 2, 2, 10, 1, 10, 6, 4, 6, 6, 2, 1, 6, 1, 10, 6, 2, 10, 1, 2, 2, 2, 6, 1, 2, 6, 2, 6, 2, 6, 10, 1, 6, 10, 6, 1, 2, 2, 10, 6, 6, 0, 10, 2, 6, 2, 1, 2, 1, 1, 2, 6, 10, 2, 1, 1, 1, 4, 1, 1, 6, 10, 10, 10, 5, 2, 10, 2, 10, 6, 1, 2, 10, 6, 6, 1, 1, 1, 6, 10, 10, 1, 10, 6, 1, 2, 6, 1, 2, 2, 6, 6, 1, 10, 6, 1, 1, 2, 10, 10, 1, 6, 1, 2, 6, 1, 2, 10, 10, 10, 4, 10, 5, 6, 6, 2, 6, 6, 6, 10, 1, 6, 1, 2, 1, 6, 6, 1, 6, 1, 6, 6, 1, 6, 10, 1, 1, 10, 10, 2, 0, 2, 2, 1, 6, 10, 10, 10, 1, 6, 6, 1, 6, 6, 6, 2, 10, 10, 1, 10, 6, 9, 10, 6, 6, 1, 1, 1, 10, 6, 6, 9, 1, 2, 2, 1, 1, 6, 1, 2, 10, 6, 10, 6, 10, 2, 6, 10, 6, 6, 10, 1, 1, 2, 6, 6, 10, 6, 2, 6, 10, 1, 1, 2, 2, 10, 2, 10, 1, 1, 6, 1, 1, 1, 6, 1, 2, 1, 1, 1, 6, 2, 6, 6, 1, 10, 1, 1, 10, 6, 10, 1, 1, 1, 10, 1, 1, 1, 2, 4, 1, 10, 5, 2, 10, 5, 2, 2, 6, 1, 10, 1, 10, 6, 2, 1, 1, 2, 4, 2, 1, 10, 10, 6, 10, 6, 10, 1, 2, 1, 1, 1, 6, 10, 1, 6, 10, 2, 10, 10, 1, 10, 1, 1, 6, 1, 6, 2, 6, 1, 6, 10, 10, 2, 1, 2, 10, 6, 1, 6, 2, 1, 10, 2, 10, 10, 10, 10, 6, 2, 6, 2, 2, 1, 6, 6, 2, 10, 2, 10, 2, 1, 1, 6, 2, 1, 6, 2, 2, 1, 9, 6, 6, 1, 10, 1, 1, 1, 1, 10, 10, 1, 2, 1, 10, 6, 1, 2, 1, 2, 6, 10, 1, 9, 2, 1, 6, 2, 6, 6, 10, 10, 1, 6, 1, 2, 10, 1, 6, 2, 1, 6, 9, 6, 0, 10, 2, 2, 10, 10, 2, 1, 6, 1, 1, 10, 10, 10, 2, 1, 10, 2, 10, 10, 1, 9, 10, 6, 6, 10, 6, 6, 1, 6, 1, 1, 2, 6, 1, 10, 10, 6, 1, 10, 10, 10, 10, 6, 1, 1, 10, 7, 1, 2, 10, 10, 2, 6, 6, 6, 6, 10, 10, 1, 1, 6, 1, 6, 2, 6, 10, 6, 1, 9, 6, 4, 1, 10, 10, 10, 2, 2, 1, 6, 10, 10, 2, 6, 2, 2, 1, 2, 10, 2, 10, 1, 10, 10, 1, 1, 1, 10, 1, 2, 1, 0, 1, 2, 10, 2, 2, 10, 10, 1, 6, 6, 10, 6, 10, 6, 2, 1, 1, 1, 1, 10, 6, 2, 1, 6, 10, 2, 1, 10, 2, 2, 2, 2, 10, 6, 6, 1, 2, 1, 6, 2, 2, 10, 2, 2, 6, 2, 10, 6, 10, 6, 2, 1, 10, 10, 10, 10, 1, 10, 1, 6, 10, 1, 1, 2, 0, 6, 1, 1, 2, 2, 10, 10, 1, 2, 6, 6, 10, 6, 1, 0, 10, 2, 1, 10, 6, 10, 6, 2, 2, 2, 1, 2, 10, 6, 1, 6, 2, 2, 1, 6, 2, 6, 10, 6, 2, 10, 6, 10, 6, 6, 10, 10, 6, 1, 10, 1, 10, 2, 10, 2, 2, 6, 6, 1, 2, 2, 6, 1, 6, 1, 1, 6, 2, 6, 10, 1, 6, 10, 6, 10, 6, 1, 6, 2, 10, 1, 2, 6, 2, 6, 6, 1, 1, 6, 6, 2, 1, 0, 10, 10, 10, 2, 10, 2, 1, 1, 9, 10, 6, 2, 6, 10, 1, 10, 2, 1, 10, 2, 2, 2, 2, 1, 1, 10, 1, 10, 6, 2, 1, 2, 2, 4, 1, 1, 10, 2, 10, 6, 6, 1, 1, 1, 1, 2, 2, 2, 2, 6, 6, 10, 10, 1, 10, 6, 10, 10, 6, 2, 6, 2, 2, 1, 2, 10, 6, 10, 2, 6, 1, 6, 6, 2, 6, 2, 1, 1, 1, 9, 1, 1, 6, 10, 2, 2, 1, 6, 2, 2, 1, 2, 2, 2, 1, 2, 6, 1, 2, 1, 10, 10, 1, 1, 6, 1, 2, 1, 1, 2, 10, 2, 10, 6, 10, 2, 6, 6, 10, 1, 10, 1, 6, 6, 1, 1, 2, 2, 6, 10, 10, 6, 6, 1, 10, 2, 6, 2, 1, 2, 2, 1, 2, 1, 10, 6, 5, 1, 1, 6, 5, 1, 6, 6, 1, 9, 10, 2, 2, 2, 5, 2, 10, 2, 2, 10, 6, 1, 10, 2, 10, 2, 2, 1, 2, 1, 2, 2, 10, 1, 10, 2, 6, 10, 2, 1, 1, 6, 1, 1, 2, 2, 1, 1, 2, 6, 1, 4, 2, 2, 6, 10, 2, 6, 6, 6, 6, 2, 10, 2, 1, 6, 6, 2, 6, 10, 1, 6, 10, 10, 10, 2, 10, 10, 9, 2, 1, 6, 2, 10, 10, 10, 2, 2, 6, 1, 0, 10, 2, 10, 10, 1, 1, 10, 10, 10, 10, 10, 10, 10, 1, 6, 10, 1, 6, 1, 6, 10, 2, 10, 1, 1, 2, 6, 2, 1, 10, 10, 1, 2, 6, 1, 2, 10, 10, 10, 2, 2, 6, 6, 10, 1, 10, 4, 10, 6, 10, 9, 2, 6, 1, 6, 6, 1, 6, 10, 1, 10, 10, 10, 6, 2, 2, 6, 6, 1, 2, 1, 4, 10, 10, 1, 2, 6, 6, 2, 1, 2, 6, 2, 6, 1, 10, 1, 1, 6, 10, 6, 1, 2, 2, 10, 1, 10, 10, 4, 10, 2, 1, 9, 2, 1, 1, 6, 6, 1, 2, 1, 6, 10, 10, 1, 6, 6, 6, 6, 0, 0, 6, 6, 10, 10, 1, 10, 1, 10, 2, 1, 1, 1, 2, 1, 2, 2, 6, 1, 1, 10, 10, 1, 2, 1, 1, 4, 2, 6, 2, 2, 10, 6, 1, 2, 10, 10, 10, 6, 6, 6, 6, 6, 10, 1, 1, 2, 10, 6, 10, 1, 2, 2, 1, 2, 10, 1, 6, 2, 10, 4, 10, 2, 6, 1, 1, 6, 6, 2, 6, 1, 1, 10, 6, 1, 6, 2, 10, 6, 1, 6, 2, 6, 10, 6, 1, 1, 10, 1, 10, 10, 10, 2, 1, 1, 1, 1, 2, 2, 1, 10, 10, 6, 6, 2, 2, 0, 2, 10, 10, 6, 6, 6, 6, 6, 5, 1, 2, 6, 1, 2, 2, 2, 6, 2, 4, 6, 2, 10, 6, 1, 6, 10, 1, 1, 10, 4, 2, 1, 6, 10, 9, 6, 10, 10, 10, 10, 1, 10, 2, 1, 10, 2, 2, 10, 1, 1, 1, 6, 6, 2, 10, 6, 6, 2, 1, 6, 1, 2, 10, 10, 10, 6, 1, 1, 6, 2, 1, 10, 6, 6, 10, 1, 2, 6, 2, 2, 1, 2, 2, 1, 6, 6, 1, 6, 2, 6, 6, 2, 6, 60, 2, 6, 1, 1, 1, 2, 2, 10, 1, 2, 2, 6, 1, 1, 2, 1, 6, 10, 1, 1, 6, 1, 6, 6, 1, 10, 10, 6, 10, 10, 10, 1, 10, 2, 6, 1, 6, 2, 10, 1, 10, 1, 6, 2, 1, 6, 1, 2, 2, 2, 10, 2, 2, 1, 2, 1, 2, 1, 6, 1, 6, 5, 2, 2, 10, 6, 10, 1, 1, 2, 1, 6, 10, 10, 2, 1, 2, 1, 6, 1, 2, 2, 6, 10, 10, 1, 2, 1, 1, 10, 10, 10, 2, 1, 6, 10, 1, 2, 10, 6, 6, 1, 6, 6, 10, 6, 1, 1, 2, 10, 10, 2, 10, 2, 1, 1, 2, 6, 1, 10, 6, 10, 10, 10, 6, 10, 2, 10, 1, 10, 10, 10, 1, 10, 1, 1, 2, 6, 6, 10, 6, 1, 2, 6, 6, 1, 1, 10, 10, 10, 10, 1, 10, 1, 6, 6, 10, 0, 1, 1, 1, 2, 10, 2, 1, 10, 1, 1, 6, 1, 2, 4, 10, 6, 10, 1, 2, 1, 1, 10, 10, 10, 1, 6, 10, 2, 6, 1, 0, 1, 1, 10, 6, 1, 6, 10, 2, 2, 1, 1, 1, 6, 1, 10, 2, 1, 10, 1, 10, 1, 1, 10, 10, 1, 10, 1, 2, 1, 1, 10, 1, 10, 2, 10, 6, 2, 2, 6, 1, 10, 6, 2, 1, 6, 5, 2, 6, 10, 1, 6, 6, 2, 4, 10, 5, 6, 10, 10, 0, 1, 6, 6, 10, 2, 6, 6, 10, 2, 1, 6, 10, 6, 9, 5, 2, 1, 10, 10, 10, 4, 1, 6, 2, 9, 10, 10, 6, 6, 2, 1, 10, 1, 1, 1, 10, 2, 2, 0, 1, 2, 1, 6, 1, 1, 6, 6, 6, 10, 10, 6, 6, 6, 1, 6, 10, 2, 2, 6, 1, 2, 1, 1, 10, 10, 1, 1, 10, 5, 6, 10, 9, 1, 6, 9, 1, 6, 10, 6, 6, 10, 1, 6, 2, 2, 1, 2, 6, 2, 1, 2, 2, 10, 1, 10, 2, 6, 6, 2, 1, 10, 1, 6, 2, 6, 10, 2, 6, 1, 6, 10, 10, 2, 6, 10, 1, 1, 1, 1, 10, 4, 2, 0, 1, 2, 2, 6, 10, 2, 1, 10, 6, 2, 1, 2, 1, 2, 9, 2, 2, 10, 2, 10, 2, 10, 10, 1, 10, 1, 2, 1, 2, 1, 6, 1, 2, 6, 2, 2, 1, 6, 1, 10, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 10, 6, 6, 10, 6, 10, 1, 10, 2, 6, 10, 2, 1, 9, 10, 1, 1, 1, 10, 10, 10, 6, 1, 1, 6, 1, 2, 1, 2, 10, 2, 1, 10, 2, 10, 6, 2, 10, 2, 6, 6, 2, 10, 2, 1, 1, 6, 1, 1, 10, 1, 10, 10, 10, 2, 1, 6, 10, 6, 10, 1, 6, 2, 2, 2, 6, 2, 2, 6, 1, 6, 10, 1, 1, 6, 10, 6, 6, 10, 6, 6, 2, 1, 2, 10, 1, 10, 2, 1, 2, 2, 6, 10, 6, 10, 1, 1, 10, 10, 2, 2, 6, 10, 2, 4, 2, 2, 1, 1, 6, 2, 10, 6, 10, 10, 1, 2, 1, 6, 1, 1, 10, 6, 10, 2, 1, 6, 10, 6, 1, 1, 2, 1, 2, 1, 2, 10, 6, 10, 1, 2, 6, 1, 2, 1, 6, 2, 10, 1, 1, 1, 2, 6, 10, 6, 10, 6, 1, 6, 2, 6, 10, 1, 6, 2, 10, 6, 2, 6, 6, 10, 2, 6, 10, 9, 10, 2, 9, 10, 6, 10, 6, 2, 10, 1, 2, 10, 10, 1, 1, 6, 6, 6, 2, 1, 10, 4, 1, 1, 10, 1, 1, 6, 1, 1, 10, 1, 4, 2, 2, 2, 1, 6, 2, 10, 1, 6, 1, 1, 1, 6, 1, 2, 2, 6, 10, 1, 1, 10, 10, 10, 6, 2, 2, 1, 10, 2, 10, 10, 1, 2, 10, 2, 1, 2, 2, 10, 2, 1, 1, 10, 6, 2, 6, 10, 10, 1, 1, 6, 1, 6, 6, 2, 10, 6, 6, 2, 6, 6, 10, 6, 6, 2, 6, 6, 10, 6, 6, 10, 10, 1, 6, 10, 2, 10, 2, 2, 6, 2, 1, 6, 6, 1, 10, 2, 6, 1, 2, 6, 2, 6, 1, 10, 6, 2, 2, 6, 2, 2, 2, 2, 2, 10, 6, 6, 2, 1, 1, 10, 10, 2, 1, 1, 3, 6, 2, 2, 1, 6, 10, 1, 4, 6, 1, 6, 2, 1, 10, 6, 6, 10, 6, 10, 10, 2, 10, 10, 6, 5, 5, 1, 1, 6, 1, 1, 10, 6, 1, 2, 10, 1, 10, 10, 6, 2, 6, 2, 6, 1, 2, 2, 10, 2, 6, 10, 6, 2, 1, 10, 10, 0, 10, 1, 0, 1, 6, 1, 1, 6, 10, 1, 2, 2, 1, 1, 2, 2, 2, 1, 10, 10, 2, 6, 2, 2, 6, 10, 2, 1, 1, 1, 2, 10, 2, 10, 1, 2, 10, 2, 2, 6, 5, 10, 4, 10, 1, 1, 1, 1, 6, 1, 2, 10, 1, 1, 10, 10, 10, 1, 6, 2, 2, 1, 2, 10, 1, 1, 6, 6, 10, 10, 10, 10, 6, 6, 10, 2, 1, 1, 6, 9, 6, 1, 6, 6, 9, 2, 6, 9, 1, 1, 2, 6, 5, 1, 6, 10, 10, 2, 10, 10, 6, 2, 2, 1, 2, 2, 10, 2, 4, 1, 2, 6, 9, 1, 10, 2, 2, 10, 10, 6, 10, 10, 6, 1, 2, 6, 2, 2, 1, 6, 1, 6, 6, 6, 2, 6, 2, 9, 2, 2, 1, 2, 6, 6, 1, 1, 6, 10, 1, 10, 1, 1, 10, 10, 1, 10, 2, 6, 2, 2, 1, 10, 10, 6, 1, 10, 1, 10, 2, 6, 9, 1, 10, 2, 6, 2, 10, 1, 10, 10, 6, 6, 6, 2, 2, 4, 10, 2, 10, 1, 10, 2, 6, 1, 10, 2, 10, 6, 6, 6, 6, 2, 10, 2, 2, 6, 2, 6, 2, 2, 6, 6, 1, 1, 2, 6, 1, 2, 2, 1, 1, 2, 6, 1, 6, 1, 2, 2, 1, 1, 10, 1, 10, 6, 1, 1, 2, 1, 1, 2, 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1, 1, 2, 10, 10, 6, 6, 6, 2, 10, 10, 6, 10, 2, 6, 10, 10, 1, 6, 2, 6, 6, 10, 6, 10, 6, 10, 1, 2, 6, 2, 6, 10, 6, 10, 6, 2, 1, 0, 1, 4, 4, 10, 10, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 6, 10, 1, 6, 1, 6, 10, 10, 10, 10, 2, 1, 6, 4, 1, 2, 1, 6, 6, 1, 10, 1, 2, 10, 1, 10, 1, 2, 6, 1, 0, 6, 6, 1, 10, 10, 2, 10, 10, 1, 10, 6, 1, 1, 6, 10, 1, 10, 6, 2, 6, 10, 2, 2, 2, 1, 1, 1, 2, 1, 6, 9, 10, 6, 1, 2, 1, 1, 1, 2, 10, 1, 10, 2, 2, 10, 1, 1, 2, 1, 1, 2, 2, 1, 6, 2, 10, 6, 10, 2, 1, 2, 2, 2, 6, 6, 2, 1, 6, 10, 6, 10, 10, 6, 6, 6, 10, 1, 10, 10, 6, 2, 1, 1, 6, 2, 2, 1, 2, 6, 6, 10, 2, 6, 2, 6, 10, 1, 1, 10, 6, 6, 2, 2, 6, 6, 6, 2, 6, 1, 6, 2, 1, 1, 6, 6, 2, 2, 5, 10, 9, 10, 6, 10, 6, 2, 2, 6, 1, 10, 1, 2, 1, 1, 1, 1, 6, 10, 10, 1, 10, 6, 2, 1, 6, 6, 9, 1, 10, 10, 0, 6, 1, 10, 6, 6, 2, 6, 1, 6, 2, 2, 10, 1, 1, 10, 10, 6, 6, 2, 1, 10, 10, 10, 1, 10, 1, 1, 10, 1, 6, 6, 1, 2, 6, 2, 1, 10, 6, 2, 6, 1, 10, 6, 10, 6, 6, 6, 1, 10, 2, 2, 2, 10, 1, 2, 2, 1, 1, 1, 2, 6, 10, 1, 10, 10, 2, 10, 6, 10, 2, 0, 10, 10, 2, 6, 1, 10, 10, 10, 6, 10, 2, 2, 6, 0, 2, 2, 10, 1, 2, 1, 6, 2, 2, 1, 10, 1, 6, 2, 6, 6, 6, 10, 6, 6, 12, 6, 10, 10, 2, 6, 2, 1, 6, 6, 1, 6, 2, 6, 10, 1, 10, 6, 6, 10, 6, 1, 10, 6, 6, 2, 6, 10, 6, 1, 6, 2, 10, 6, 1, 6, 2, 1, 10, 1, 6, 10, 6, 1, 5, 10, 10, 6, 1, 1, 1, 2, 2, 1, 6, 2, 2, 1, 2, 1, 10, 10, 6, 1, 4, 1, 6, 2, 2, 1, 2, 10, 6, 1, 6, 10, 2, 2, 2, 10, 6, 10, 6, 10, 10, 6, 4, 10, 1, 10, 6, 10, 9, 2, 9, 1, 1, 2, 10, 6, 2, 2, 2, 2, 2, 10, 10, 10, 2, 2, 10, 2, 2, 1, 10, 2, 1, 6, 1, 6, 10, 2, 10, 1, 10, 10, 1, 6, 10, 2, 2, 6, 1, 6, 10, 6, 6, 5, 10, 1, 1, 10, 10, 1, 10, 2, 2, 10, 6, 1, 1, 6, 1, 2, 2, 6, 2, 1, 6, 2, 6, 2, 10, 10, 2, 2, 2, 1, 6, 10, 6, 10, 1, 6, 10, 6, 6, 2, 2, 2, 10, 10, 2, 10, 2, 2, 10, 10, 2, 2, 1, 10, 10, 10, 10, 1, 10, 10, 1, 1, 6, 9, 1, 2, 2, 6, 1, 2, 6, 2, 10, 2, 6, 2, 10, 1, 1, 10, 6, 6, 6, 10, 10, 2, 10, 1, 10, 1, 1, 1, 6, 2, 6, 2, 10, 10, 6, 2, 6, 1, 10, 0, 1, 2, 6, 1, 1, 2, 0, 2, 1, 10, 1, 10, 1, 2, 10, 1, 2, 6, 6, 10, 2, 2, 6, 6, 6, 1, 2, 10, 1, 2, 10, 10, 2, 2, 6, 1, 1, 6, 10, 10, 2, 10, 6, 10, 1, 2, 1, 10, 10, 1, 6, 2, 1, 2, 2, 1, 2, 10, 2, 2, 2, 10, 2, 2, 6, 1, 1, 6, 2, 1, 2, 6, 2, 1, 2, 10, 9, 6, 6, 10, 2, 10, 1, 6, 2, 10, 1, 6, 6, 1, 6, 2, 1, 6, 1, 6, 10, 10, 6, 10, 6, 10, 6, 10, 6, 10, 1, 10, 2, 6, 2, 6, 6, 10, 10, 10, 6, 10, 10, 2, 10, 1, 6, 1, 10, 1, 2, 2, 6, 10, 10, 6, 10, 6, 2, 1, 10, 10, 10, 1, 6, 8, 6, 2, 5, 2, 6, 6, 6, 6, 10, 6, 10, 9, 6, 6, 2, 2, 6, 10, 9, 6, 2, 6, 10, 6, 10, 1, 10, 10, 10, 1, 6, 6, 2, 1, 10, 10, 6, 10, 1, 10, 2, 6, 6, 1, 1, 1, 10, 1, 2, 1, 6, 6, 6, 6, 6, 2, 1, 2, 2, 1, 10, 1, 6, 2, 6, 6, 10, 1, 6, 1, 2, 6, 3, 6, 6, 1, 10, 10, 1, 10, 1, 2, 2, 10, 2, 1, 6, 6, 6, 6, 2, 2, 1, 2, 2, 2, 6, 2, 6, 2, 6, 2, 1, 6, 1, 2, 6, 1, 5, 1, 1, 6, 2, 2, 6, 2, 2, 10, 2, 10, 6, 10, 2, 10, 1, 10, 2, 10, 6, 2, 10, 1, 6, 2, 1, 10, 1, 1, 2, 6, 2, 10, 6, 6, 2, 6, 6, 2, 2, 10, 1, 6, 6, 1, 1, 10, 6, 6, 1, 10, 10, 1, 1, 2, 1, 10, 10, 2, 6, 10, 1, 6, 10, 6, 1, 10, 2, 10, 6, 10, 1, 10, 1, 6, 6, 10, 1, 6, 6, 1, 6, 6, 1, 5, 6, 2, 6, 6, 1, 1, 1, 2, 10, 2, 10, 6, 2, 2, 2, 2, 5, 2, 2, 2, 2, 6, 10, 2, 10, 1, 2, 1, 10, 2, 1, 10, 10, 2, 2, 10, 6, 2, 10, 1, 2, 6, 1, 2, 1, 2, 10, 10, 1, 10, 6, 1, 10, 10, 1, 6, 1, 1, 2, 10, 2, 1, 6, 1, 10, 10, 10, 10, 6, 6, 1, 6, 4, 1, 6, 2, 10, 1, 6, 6, 2, 1, 1, 0, 1, 10, 6, 2, 10, 2, 6, 1, 2, 5, 10, 1, 2, 6, 1, 2, 10, 1, 2, 9, 9, 1, 1, 5, 10, 2, 6, 1, 10, 1, 9, 6, 2, 6, 6, 10, 6, 10, 4, 2, 2, 2, 10, 1, 2, 0, 1, 10, 6, 2, 1, 2, 2, 6, 6, 10, 10, 10, 9, 1, 2, 1, 1, 2, 6, 6, 10, 6, 10, 1, 10, 2, 10, 10, 1, 10, 2, 5, 10, 10, 10, 6, 10, 6, 1, 1, 6, 6, 1, 1, 2, 1, 2, 6, 1, 2, 10, 2, 1, 2, 2, 1, 1, 1, 6, 10, 1, 2, 10, 2, 6, 1, 2, 10, 10, 6, 1, 1, 6, 2, 10, 10, 2, 1, 10, 1, 2, 1, 6, 2, 2, 10, 6, 2, 1, 10, 2, 10, 6, 1, 6, 2, 1, 1, 2, 10, 10, 2, 6, 1, 6, 10, 2, 6, 2, 1, 6, 1, 1, 10, 2, 1, 6, 6, 6, 6, 10, 2, 1, 1, 10, 10, 2, 9, 1, 6, 10, 9, 6, 2, 10, 6, 1, 2, 2, 2, 2, 10, 6, 1, 1, 2, 2, 1, 2, 10, 6, 2, 1, 1, 10, 6, 10, 1, 1, 0, 6, 1, 6, 6, 10, 6, 6, 6, 1, 1, 5, 6, 6, 6, 10, 1, 6, 6, 1, 2, 2, 10, 6, 1, 6, 6, 2, 10, 10, 10, 6, 6, 6, 10, 0, 2, 2, 1, 2, 2, 2, 6, 5, 2, 1, 6, 10, 1, 1, 1, 2, 10, 6, 6, 1, 1, 1, 2, 10, 10, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 6, 10, 2, 2, 10, 2, 6, 6, 10, 6, 6, 1, 1, 4, 10, 2, 2, 10, 10, 2, 10, 10, 10, 1, 2, 10, 2, 1, 2, 2, 10, 2, 1, 2, 6, 1, 6, 6, 2, 1, 6, 1, 10, 6, 10, 2, 10, 2, 2, 5, 9, 2, 6, 10, 6, 6, 6, 6, 1, 6, 2, 2, 1, 2, 6, 10, 1, 6, 10, 10, 6, 1, 1, 10, 6, 10, 4, 1, 6, 9, 2, 1, 2, 2, 6, 6, 1, 2, 1, 10, 10, 9, 1, 9, 2, 2, 2, 6, 2, 1, 1, 2, 10, 2, 2, 2, 10, 6, 6, 10, 10, 2, 1, 2, 10, 10, 6, 1, 2, 6, 1, 10, 4, 2, 2, 6, 10, 2, 6, 2, 1, 2, 6, 10, 1, 2, 10, 6, 6, 2, 2, 0, 2, 6, 6, 1, 1, 1, 1, 1, 6, 6, 6, 10, 1, 10, 1, 6, 10, 6, 2, 2, 1, 1, 10, 10, 1, 10, 6, 6, 2, 6, 2, 2, 2, 2, 10, 5, 1, 1, 1, 1, 10, 2, 1, 6, 10, 1, 10, 1, 2, 10, 10, 6, 2, 2, 2, 10, 2, 10, 10, 6, 0, 6, 6, 10, 2, 10, 6, 1, 1, 6, 2, 2, 6, 1, 10, 10, 10, 6, 6, 10, 6, 6, 1, 6, 1, 10, 10, 2, 10, 10, 6, 1, 2, 10, 1, 2, 10, 1, 10, 1, 2, 1, 2, 6, 10, 10, 10, 2, 10, 6, 10, 10, 2, 1, 10, 2, 1, 2, 2, 10, 10, 6, 1, 10, 10, 10, 6, 6, 1, 6, 2, 6, 6, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 10, 1, 2, 6, 2, 5, 6, 2, 10, 6, 1, 2, 10, 2, 6, 10, 6, 2, 10, 1, 2, 1, 1, 1, 2, 6, 10, 6, 1, 10, 10, 10, 2, 1, 2, 6, 6, 10, 1, 10, 1, 6, 6, 6, 6, 2, 10, 10, 10, 6, 1, 1, 1, 10, 6, 6, 2, 10, 1, 10, 0, 6, 2, 1, 1, 6, 6, 2, 2, 6, 2, 1, 1, 6, 10, 6, 2, 2, 2, 10, 1, 10, 10, 10, 2, 1, 2, 1, 10, 10, 10, 10, 1, 10, 1, 10, 6, 9, 6, 10, 1, 10, 4, 6, 1, 9, 1, 1, 10, 2, 10, 10, 2, 1, 2, 2, 2, 1, 10, 2, 2, 10, 6, 1, 1, 2, 6, 9, 2, 6, 1, 4, 0, 2, 10, 6, 10, 1, 10, 1, 10, 6, 6, 1, 10, 2, 2, 10, 2, 1, 1, 10, 10, 1, 6, 1, 6, 2, 1, 2, 6, 6, 2, 10, 6, 2, 10, 6, 6, 1, 10, 1, 9, 6, 6, 1, 1, 10, 9, 6, 1, 1, 10, 2, 1, 6, 1, 6, 6, 2, 1, 10, 2, 2, 6, 10, 10, 2, 6, 10, 2, 2, 6, 10, 1, 6, 10, 1, 10, 1, 10, 10, 1, 1, 6, 6, 6, 6, 10, 1, 10, 0, 10, 1, 10, 10, 6, 10, 10, 6, 2, 6, 1, 6, 1, 10, 2, 6, 5, 6, 1, 9, 6, 10, 6, 6, 10, 1, 10, 10, 2, 1, 10, 1, 10, 10, 2, 6, 1, 10, 2, 6, 6, 2, 10, 10, 1, 1, 1, 1, 6, 9, 10, 2, 6, 6, 10, 6, 10, 1, 2, 1, 2, 10, 10, 10, 2, 1, 6, 10, 10, 6, 1, 10, 2, 6, 6, 1, 1, 2, 6, 6, 2, 10, 10, 1, 1, 10, 5, 1, 6, 6, 2, 1, 2, 10, 1, 1, 10, 1, 2, 2, 10, 2, 10, 6, 2, 2, 10, 2, 1, 5, 6, 2, 2, 6, 2, 2, 1, 1, 2, 1, 1, 10, 1, 10, 2, 10, 2, 6, 1, 6, 6, 10, 6, 1, 10, 10, 10, 1, 1, 6, 10, 2, 2, 2, 1, 1, 1, 2, 1, 1, 10, 6, 6, 1, 10, 2, 10, 10, 1, 1, 2, 1, 1, 1, 6, 6, 6, 2, 10, 2, 10, 9, 1, 2, 10, 1, 1, 1, 10, 2, 10, 10, 2, 6, 6, 6, 5, 1, 1, 1, 6, 2, 6, 10, 1, 6, 10, 6, 6, 6, 10, 10, 10, 10, 2, 10, 6, 10, 1, 2, 2, 2, 10, 2, 6, 10, 1, 2, 9, 6, 2, 4, 2, 2, 6, 1, 2, 1, 6, 10, 10, 1, 6, 1, 2, 10, 1, 10, 10, 1, 6, 10, 1, 9, 1, 6, 2, 10, 2, 6, 2, 6, 10, 6, 6, 10, 1, 6, 6, 2, 1, 2, 1, 6, 6, 2, 10, 10, 2, 1, 10, 1, 2, 10, 10, 2, 10, 1, 6, 2, 1, 6, 6, 1, 1, 1, 10, 6, 1, 10, 2, 1, 10, 10, 2, 2, 5, 6, 1, 1, 10, 10, 10, 1, 1, 10, 1, 2, 10, 6, 5, 10, 1, 2, 2, 2, 1, 10, 1, 6, 1, 0, 2, 10, 1, 2, 1, 10, 10, 2, 2, 10, 2, 10, 6, 2, 1, 1, 6, 6, 6, 1, 1, 2, 6, 2, 10, 10, 1, 1, 10, 2, 6, 1, 6, 10, 6, 6, 4, 1, 6, 1, 1, 10, 2, 1, 1, 2, 10, 1, 6, 6, 6, 2, 10, 6, 6, 6, 1, 10, 5, 2, 2, 1, 10, 6, 1, 1, 10, 1, 1, 1, 2, 1, 2, 6, 1, 1, 2, 10, 1, 1, 6, 6, 2, 10, 10, 1, 1, 6, 1, 10, 10, 10, 6, 1, 6, 6, 10, 6, 1, 6, 6, 10, 2, 6, 2, 2, 6, 6, 2, 2, 10, 6, 2, 2, 1, 6, 6, 2, 2, 10, 2, 2, 6, 2, 6, 2, 10, 2, 2, 4, 10, 6, 10, 10, 2, 10, 2, 2, 10, 2, 6, 1, 2, 2, 6, 6, 6, 1, 1, 6, 10, 2, 10, 2, 2, 10, 2, 10, 1, 10, 2, 6, 4, 2, 10, 1, 1, 1, 10, 1, 10, 10, 9, 10, 6, 6, 10, 10, 2, 6, 1, 2, 6, 10, 6, 1, 10, 10, 0, 10, 2, 2, 10, 2, 2, 1, 2, 1, 10, 1, 6, 1, 2, 2, 5, 10, 0, 1, 1, 6, 2, 6, 6, 10, 1, 2, 6, 6, 6, 5, 10, 6, 6, 6, 10, 1, 10, 2, 2, 1, 2, 10, 1, 1, 1, 6, 10, 10, 1, 1, 2, 10, 6, 10, 10, 2, 6, 1, 6, 1, 10, 2, 1, 1, 6, 2, 2, 2, 6, 1, 10, 1, 9, 1, 2, 2, 2, 6, 6, 10, 1, 6, 10, 1, 1, 6, 1, 10, 1, 6, 2, 10, 6, 10, 6, 1, 1, 2, 6, 10, 6, 2, 1, 2, 2, 10, 2, 2, 2, 6, 6, 2, 6, 2, 1, 6, 2, 10, 1, 10, 6, 6, 1, 6, 6, 2, 1, 6, 1, 6, 6, 10, 6, 6, 6, 2, 6, 6, 10, 6, 2, 10, 6, 10, 10, 1, 10, 10, 2, 6, 2, 10, 0, 6, 2, 10, 6, 10, 10, 10, 6, 6, 6, 2, 1, 5, 6, 6, 1, 6, 1, 2, 1, 1, 10, 10, 6, 10, 1, 6, 6, 6, 6, 2, 1, 5, 2, 9, 2, 1, 9, 2, 2, 1, 10, 6, 1, 2, 2, 1, 10, 6, 2, 1, 2, 2, 1, 6, 6, 10, 6, 10, 6, 1, 1, 1, 6, 2, 10, 2, 1, 1, 10, 6, 10, 2, 1, 1, 5, 2, 1, 2, 10, 2, 1, 10, 1, 10, 6, 1, 2, 2, 1, 1, 10, 1, 2, 10, 2, 2, 1, 1, 2, 6, 1, 1, 10, 10, 1, 6, 10, 10, 10, 6, 5, 6, 10, 10, 6, 10, 10, 6, 5, 0, 10, 2, 4, 5, 10, 10, 6, 2, 10, 10, 1, 1, 1, 1, 1, 10, 6, 6, 2, 10, 6, 6, 10, 2, 2, 1, 1, 10, 1, 1, 6, 2, 2, 10, 6, 2, 6, 1, 10, 2, 2, 6, 6, 6, 9, 6, 10, 6, 6, 6, 1, 2, 6, 6, 6, 6, 2, 6, 6, 1, 2, 1, 2, 1, 1, 1, 6, 6, 10, 10, 6, 6, 2, 10, 2, 2, 10, 6, 10, 1, 10, 2, 1, 2, 1, 6, 10, 6, 2, 4, 2, 6, 6, 6, 10, 2, 10, 6, 1, 1, 10, 2, 9, 1, 5, 2, 6, 10, 1, 2, 6, 1, 6, 1, 2, 2, 1, 10, 2, 6, 1, 2, 2, 10, 2, 6, 2, 2, 10, 2, 2, 2, 6, 10, 2, 10, 10, 2, 6, 6, 1, 6, 1, 10, 6, 1, 2, 6, 1, 10, 4, 6, 2, 1, 1, 1, 10, 6, 6, 10, 10, 2, 10, 2, 2, 2, 10, 2, 2, 10, 2, 6, 1, 2, 10, 1, 9, 1, 2, 6, 10, 2, 6, 1, 6, 6, 6, 10, 1, 6, 10, 2, 6, 6, 1, 6, 1, 10, 6, 1, 2, 6, 1, 10, 10, 10, 1, 10, 2, 2, 10, 10, 10, 2, 2, 9, 1, 1, 2, 1, 2, 10, 6, 1, 2, 6, 1, 10, 2, 6, 2, 2, 6, 1, 10, 10, 10, 10, 1, 5, 10, 2, 10, 5, 2, 1, 2, 10, 1, 10, 10, 6, 1, 2, 10, 9, 10, 6, 6, 10, 10, 10, 6, 6, 10, 6, 2, 6, 10, 10, 6, 10, 10, 6, 1, 10, 2, 2, 1, 10, 2, 6, 1, 6, 10, 2, 1, 6, 6, 9, 1, 10, 6, 2, 1, 2, 1, 1, 2, 6, 2, 1, 10, 10, 6, 6, 1, 2, 2, 6, 6, 1, 1, 2, 2, 2, 1, 1, 1, 6, 10, 1, 6, 2, 6, 1, 2, 10, 10, 6, 1, 2, 2, 6, 0, 6, 1, 10, 6, 10, 2, 1, 10, 10, 10, 6, 10, 10, 2, 1, 6, 6, 10, 2, 6, 1, 10, 10, 6, 1, 2, 6, 2, 2, 2, 1, 10, 1, 2, 10, 10, 2, 1, 10, 6, 2, 10, 10, 6, 6, 1, 6, 1, 2, 10, 2, 10, 6, 1, 6, 1, 1, 2, 10, 6, 6, 4, 2, 10, 10, 2, 1, 6, 6, 6, 6, 6, 10, 10, 6, 1, 10, 2, 1, 6, 6, 6, 1, 10, 2, 1, 1, 2, 2, 10, 2, 1, 1, 2, 1, 10, 1, 10, 6, 1, 5, 1, 2, 1, 2, 2, 10, 1, 2, 1, 1, 6, 10, 10, 1, 2, 6, 10, 1, 1, 6, 10, 6, 1, 1, 2, 6, 10, 10, 1, 2, 6, 1, 6, 10, 10, 2, 10, 10, 6, 2, 1, 2, 2, 2, 2, 2, 2, 1, 6, 6, 1, 1, 2, 10, 10, 10, 2, 6, 2, 10, 1, 2, 6, 6, 10, 10, 2, 1, 10, 10, 1, 10, 1, 2, 1, 6, 2, 6, 1, 10, 1, 1, 10, 1, 10, 10, 10, 10, 6, 10, 2, 10, 2, 6, 6, 2, 0, 6, 6, 6, 2, 6, 2, 2, 2, 1, 2, 10, 1, 2, 6, 1, 1, 10, 6, 2, 2, 6, 0, 6, 2, 2, 2, 2, 1, 2, 1, 2, 1, 10, 10, 6, 6, 2, 10, 1, 2, 10, 10, 10, 2, 10, 10, 2, 10, 10, 1, 6, 2, 10, 10, 10, 2, 0, 1, 6, 10, 10, 6, 2, 10, 1, 1, 10, 6, 2, 6, 6, 6, 10, 10, 10, 2, 6, 1, 2, 6, 1, 1, 5, 1, 10, 2, 1, 6, 6, 10, 10, 10, 2, 1, 10, 1, 6, 2, 6, 10, 2, 2, 6, 9, 10, 1, 2, 2, 1, 10, 2, 2, 10, 2, 1, 2, 6, 2, 2, 6, 6, 2, 10, 10, 4, 1, 10, 2, 2, 1, 1, 10, 6, 2, 6, 1, 10, 10, 1, 1, 10, 1, 10, 1, 2, 2, 2, 2, 6, 10, 6, 10, 10, 2, 2, 6, 6, 10, 10, 2, 1, 10, 1, 10, 2, 1, 6, 1, 10, 10, 1, 6, 10, 6, 10, 2, 2, 6, 1, 6, 2, 6, 6, 1, 6, 6, 6, 6, 6, 1, 10, 6, 60, 10, 10, 2, 1, 6, 4, 1, 1, 10, 2, 2, 2, 6, 10, 1, 1, 2, 10, 1, 10, 10, 6, 2, 2, 1, 1, 1, 1, 1, 4, 6, 10, 1, 6, 6, 1, 10, 2, 6, 6, 2, 1, 1, 2, 0, 1, 10, 2, 2, 2, 6, 10, 1, 1, 1, 10, 6, 10, 2, 1, 2, 1, 10, 10, 6, 10, 6, 10, 2, 1, 6, 1, 2, 2, 2, 10, 6, 1, 10, 10, 6, 2, 1, 2, 10, 2, 2, 10, 1, 1, 10, 2, 1, 2, 6, 10, 2, 6, 1, 1, 1, 2, 10, 1, 6, 10, 2, 1, 10, 2, 1, 1, 10, 6, 10, 10, 2, 9, 10, 10, 10, 2, 6, 10, 10, 2, 10, 2, 1, 2, 6, 1, 10, 4, 10, 1, 1, 1, 6, 10, 10, 1, 9, 2, 1, 2, 1, 1, 0, 6, 6, 2, 2, 10, 1, 1, 6, 10, 6, 6, 6, 1, 6, 2, 6, 10, 6, 2, 2, 6, 2, 1, 2, 2, 10, 6, 2, 1, 1, 10, 1, 10, 2, 2, 10, 10, 1, 10, 2, 10, 2, 10, 1, 2, 6, 1, 10, 6, 6, 2, 6, 1, 6, 2, 2, 6, 6, 1, 2, 1, 2, 1, 2, 1, 1, 10, 10, 2, 6, 6, 1, 0, 1, 2, 6, 6, 6, 6, 2, 1, 2, 7, 1, 5, 2, 6, 1, 6, 1, 6, 2, 2, 6, 6, 10, 2, 10, 2, 10, 2, 10, 10, 10, 1, 6, 2, 1, 6, 1, 2, 6, 1, 2, 4, 2, 10, 6, 1, 2, 6, 5, 2, 2, 2, 10, 6, 10, 1, 10, 10, 2, 10, 9, 1, 2, 2, 1, 1, 2, 2, 6, 1, 2, 10, 6, 10, 1, 0, 1, 1, 6, 4, 6, 9, 10, 10, 1, 6, 6, 1, 10, 2, 50, 2, 6, 2, 2, 1, 1, 6, 6, 6, 9, 1, 1, 10, 6, 6, 2, 10, 2, 1, 2, 1, 6, 6, 6, 2, 10, 10, 6, 2, 6, 2, 2, 1, 6, 1, 1, 10, 6, 0, 6, 10, 4, 6, 6, 1, 1, 6, 6, 1, 10, 0, 6, 10, 10, 10, 1, 9, 1, 2, 6, 2, 2, 6, 2, 10, 10, 6, 1, 2, 1, 1, 10, 6, 2, 6, 6, 2, 1, 2, 10, 2, 1, 1, 1, 6, 10, 2, 6, 1, 6, 2, 6, 2, 2, 10, 2, 6, 1, 1, 1, 6, 1, 1, 1, 10, 2, 1, 2, 10, 10, 9, 6, 2, 6, 2, 6, 2, 6, 2, 1, 2, 2, 6, 10, 10, 1, 10, 2, 6, 6, 2, 10, 6, 1, 6, 2, 2, 1, 10, 2, 10, 6, 1, 6, 2, 6, 1, 2, 1, 2, 10, 6, 1, 6, 6, 1, 1, 2, 10, 10, 1, 10, 10, 1, 1, 10, 6, 10, 6, 1, 10, 1, 2, 10, 10, 10, 10, 2, 6, 10, 6, 9, 2, 2, 6, 10, 6, 1, 1, 10, 1, 6, 2, 2, 5, 1, 2, 1, 2, 10, 10, 6, 6, 10, 6, 1, 1, 1, 6, 1, 2, 10, 6, 2, 10, 6, 2, 6, 6, 1, 10, 1, 1, 2, 6, 6, 2, 6, 10, 10, 2, 6, 10, 1, 2, 10, 6, 1, 10, 2, 2, 10, 10, 1, 10, 2, 1, 1, 10, 0, 10, 1, 1, 0, 10, 2, 10, 1, 1, 6, 6, 6, 2, 1, 10, 1, 10, 6, 6, 6, 10, 10, 6, 1, 10, 6, 1, 1, 1, 6, 6, 6, 6, 10, 1, 2, 1, 10, 10, 6, 6, 10, 10, 10, 10, 2, 2, 6, 6, 1, 10, 6, 6, 6, 1, 1, 6, 2, 10, 6, 10, 50, 6, 0, 1, 1, 1, 6, 10, 10, 10, 10, 2, 10, 2, 1, 6, 6, 6, 6, 2, 2, 6, 6, 6, 6, 1, 10, 1, 2, 1, 2, 1, 2, 10, 10, 2, 6, 2, 2, 6, 2, 1, 2, 2, 2, 6, 10, 2, 1, 1, 10, 10, 6, 2, 6, 2, 1, 2, 2, 2, 2, 10, 6, 10, 10, 2, 1, 6, 10, 1, 10, 1, 5, 10, 2, 10, 1, 6, 10, 1, 6, 1, 6, 9, 2, 6, 6, 1, 1, 6, 1, 10, 2, 10, 2, 1, 2, 1, 2, 2, 2, 1, 1, 6, 1, 6, 2, 6, 1, 2, 1, 1, 10, 2, 2, 4, 6, 10, 1, 6, 2, 0, 1, 10, 10, 1, 1, 2, 2, 6, 1, 1, 2, 6, 6, 10, 2, 6, 6, 10, 6, 2, 6, 2, 10, 10, 10, 2, 2, 10, 10, 1, 2, 2, 10, 6, 10, 1, 2, 10, 1, 10, 1, 2, 6, 2, 10, 10, 1, 10, 1, 10, 6, 0, 10, 2, 1, 1, 10, 6, 10, 1, 6, 10, 6, 1, 10, 1, 6, 1, 6, 10, 1, 1, 1, 6, 1, 2, 2, 10, 10, 6, 6, 10, 1, 10, 1, 10, 1, 1, 6, 6, 1, 2, 2, 1, 6, 1, 6, 2, 2, 1, 6, 2, 10, 1, 6, 6, 2, 1, 2, 1, 1, 10, 1, 10, 10, 6, 2, 10, 1, 2, 6, 2, 2, 6, 1, 2, 2, 10, 1, 2, 1, 6, 6, 10, 9, 10, 10, 1, 1, 10, 6, 10, 6, 1, 10, 6, 4, 2, 2, 1, 6, 6, 6, 1, 1, 1, 10, 10, 2, 1, 1, 10, 6, 2, 1, 6, 10, 2, 6, 10, 10, 2, 2, 9, 10, 10, 1, 6, 10, 2, 10, 10, 10, 10, 6, 1, 2, 10, 10, 1, 1, 6, 1, 6, 1, 6, 1, 6, 1, 1, 10, 2, 10, 2, 1, 6, 10, 6, 2, 2, 10, 10, 10, 2, 2, 6, 2, 1, 6, 2, 1, 1, 10, 6, 2, 10, 10, 6, 2, 10, 10, 1, 2, 2, 1, 10, 1, 2, 1, 1, 2, 2, 1, 2, 2, 10, 6, 2, 1, 6, 2, 10, 1, 10, 2, 2, 1, 2, 2, 10, 10, 1, 2, 2, 10, 10, 2, 6, 1, 1, 1, 2, 1, 10, 6, 1, 1, 2, 10, 6, 1, 1, 1, 10, 1, 2, 0, 10, 1, 6, 10, 6, 1, 10, 1, 6, 6, 10, 2, 6, 2, 1, 1, 1, 1, 10, 1, 6, 6, 6, 6, 6, 2, 2, 10, 1, 1, 1, 1, 1, 6, 2, 10, 1, 10, 1, 10, 2, 2, 10, 10, 2, 6, 2, 1, 1, 9, 6, 10, 1, 6, 6, 1, 10, 2, 2, 2, 1, 1, 10, 1, 9, 6, 6, 1, 10, 4, 10, 2, 10, 2, 1, 2, 10, 6, 1, 2, 10, 6, 2, 2, 10, 1, 6, 10, 1, 2, 1, 6, 2, 1, 1, 6, 2, 2, 1, 2, 10, 2, 6, 10, 1, 10, 6, 1, 2, 6, 1, 1, 6, 6, 6, 10, 1, 2, 10, 6, 1, 1, 1, 1, 2, 10, 6, 10, 1, 10, 10, 6, 6, 6, 6, 2, 10, 6, 6, 2, 1, 9, 1, 6, 6, 1, 6, 4, 2, 6, 2, 6, 10, 10, 1, 1, 1, 10, 10, 1, 2, 2, 1, 1, 1, 1, 2, 6, 2, 1, 1, 2, 1, 6, 10, 6, 1, 6, 2, 6, 1, 6, 4, 1, 10, 1, 1, 6, 1, 5, 1, 9, 2, 10, 2, 6, 10, 1, 2, 6, 10, 2, 1, 6, 1, 10, 10, 10, 10, 10, 10, 2, 2, 2, 1, 6, 6, 10, 6, 1, 2, 6, 6, 1, 2, 6, 1, 2, 10, 6, 2, 10, 2, 2, 2, 1, 10, 2, 2, 1, 10, 2, 1, 6, 1, 10, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 10, 2, 1, 6, 1, 10, 10, 2, 10, 6, 10, 10, 1, 2, 1, 10, 6, 1, 2, 1, 2, 10, 1, 6, 6, 6, 6, 6, 6, 1, 6, 6, 1, 6, 10, 10, 5, 2, 10, 6, 2, 10, 10, 2, 10, 10, 10, 2, 1, 6, 10, 2, 2, 9, 1, 6, 2, 1, 10, 1, 6, 10, 6, 1, 50, 6, 1, 1, 0, 10, 6, 10, 1, 2, 2, 6, 6, 6, 6, 9, 1, 6, 6, 1, 1, 6, 10, 6, 1, 2, 2, 6, 2, 2, 6, 10, 2, 6, 2, 1, 2, 1, 10, 2, 10, 10, 2, 6, 1, 2, 1, 2, 6, 6, 10, 2, 10, 1, 2, 10, 1, 6, 6, 6, 6, 2, 10, 1, 6, 2, 1, 10, 10, 10, 10, 10, 2, 6, 10, 1, 2, 1, 10, 1, 2, 6, 2, 2, 1, 1, 2, 10, 6, 10, 2, 10, 1, 10, 1, 6, 6, 1, 6, 2, 6, 6, 6, 6, 2, 6, 2, 10, 2, 10, 10, 0, 6, 2, 10, 6, 6, 10, 2, 6, 1, 6, 10, 10, 1, 2, 6, 1, 10, 6, 10, 6, 6, 2, 6, 6, 10, 2, 6, 2, 10, 2, 9, 2, 6, 1, 2, 6, 1, 2, 2, 6, 0, 10, 10, 1, 1, 10, 2, 10, 6, 2, 2, 1, 2, 1, 6, 6, 2, 1, 2, 1, 10, 1, 6, 2, 1, 1, 1, 10, 2, 2, 10, 10, 1, 6, 10, 10, 1, 10, 1, 1, 6, 10, 1, 1, 1, 10, 10, 1, 10, 2, 6, 10, 6, 6, 1, 1, 2, 1, 6, 10, 2, 2, 4, 1, 5, 6, 10, 6, 10, 6, 6, 2, 10, 6, 2, 2, 6, 10, 2, 6, 2, 6, 6, 10, 10, 1, 1, 10, 1, 6, 6, 10, 1, 1, 2, 6, 10, 1, 6, 10, 10, 1, 10, 6, 1, 10, 1, 4, 10, 2, 2, 2, 1, 1, 2, 10, 1, 6, 6, 1, 6, 1, 6, 1, 2, 1, 5, 10, 2, 10, 10, 2, 10, 10, 2, 1, 10, 2, 2, 10, 10, 1, 2, 6, 6, 0, 10, 2, 2, 1, 1, 2, 6, 6, 6, 6, 10, 10, 10, 2, 10, 6, 6, 1, 10, 0, 10, 6, 1, 6, 6, 1, 6, 6, 10, 1, 2, 2, 2, 6, 10, 40, 2, 6, 6, 6, 10, 1, 10, 1, 1, 1, 6, 10, 2, 10, 6, 10, 2, 6, 10, 9, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 6, 2, 4, 10, 5, 10, 6, 10, 2, 6, 9, 10, 6, 6, 1, 6, 2, 6, 9, 2, 2, 1, 1, 10, 10, 1, 6, 1, 10, 1, 10, 2, 1, 10, 10, 5, 2, 2, 2, 1, 10, 10, 4, 1, 2, 6, 2, 10, 10, 6, 1, 1, 1, 2, 1, 2, 10, 10, 10, 1, 1, 1, 10, 1, 10, 10, 1, 1, 6, 6, 10, 2, 6, 6, 6, 6, 6, 10, 6, 2, 1, 1, 10, 6, 10, 10, 6, 1, 1, 10, 10, 1, 2, 6, 10, 1, 6, 10, 10, 2, 6, 2, 9, 6, 6, 2, 1, 1, 1, 10, 10, 2, 1, 1, 1, 6, 6, 6, 1, 2, 6, 1, 1, 2, 6, 1, 2, 10, 1, 1, 10, 10, 2, 1, 2, 10, 2, 1, 2, 6, 6, 6, 6, 4, 1, 10, 9, 6, 6, 2, 6, 10, 10, 2, 1, 10, 10, 6, 6, 1, 10, 1, 6, 1, 2, 1, 6, 1, 10, 6, 10, 10, 10, 2, 50, 10, 1, 1, 2, 6, 10, 10, 1, 1, 2, 2, 10, 6, 10, 2, 6, 10, 2, 6, 6, 6, 60, 1, 1, 2, 9, 2, 10, 1, 2, 2, 2, 10, 1, 6, 2, 2, 6, 6, 6, 4, 6, 6, 6, 2, 2, 2, 2, 2, 1, 1, 1, 6, 6, 1, 2, 10, 10, 2, 1, 1, 6, 6, 1, 10, 2, 6, 10, 6, 6, 6, 10, 1, 1, 2, 10, 6, 10, 6, 6, 6, 2, 10, 2, 2, 1, 2, 2, 1, 10, 2, 1, 6, 1, 1, 1, 2, 1, 10, 2, 10, 10, 2, 10, 1, 10, 2, 2, 2, 1, 2, 10, 2, 1, 1, 10, 10, 1, 1, 1, 1, 0, 1, 6, 10, 6, 10, 2, 1, 1, 6, 2, 6, 2, 2, 1, 6, 6, 2, 1, 10, 6, 0, 1, 1, 1, 2, 1, 10, 1, 2, 6, 1, 10, 2, 6, 6, 2, 1, 1, 2, 2, 10, 2, 6, 1, 6, 2, 2, 6, 2, 1, 6, 10, 6, 1, 2, 1, 6, 1, 6, 1, 10, 2, 2, 1, 10, 10, 9, 6, 6, 6, 6, 6, 6, 10, 10, 1, 10, 10, 10, 1, 1, 1, 1, 10, 6, 10, 6, 2, 10, 6, 10, 2, 6, 10, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 6, 6, 10, 10, 1, 1, 1, 6, 1, 1, 2, 6, 6, 10, 1, 2, 1, 2, 1, 6, 2, 1, 6, 6, 1, 10, 2, 10, 6, 6, 6, 10, 1, 1, 2, 6, 6, 2, 6, 1, 1, 10, 1, 6, 10, 6, 2, 2, 2, 10, 10, 2, 6, 6, 2, 1, 6, 2, 6, 10, 1, 1, 1, 2, 1, 6, 1, 1, 1, 10, 2, 2, 10, 1, 6, 6, 1, 1, 1, 6, 10, 2, 10, 5, 10, 2, 2, 2, 6, 10, 2, 6, 2, 2, 2, 6, 1, 6, 1, 2, 10, 2, 6, 1, 1, 2, 2, 2, 10, 6, 10, 1, 2, 1, 2, 6, 6, 10, 2, 1, 1, 2, 1, 9, 1, 6, 10, 1, 6, 1, 2, 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10, 10, 6, 2, 10, 6, 1, 6, 1, 6, 6, 4, 2, 1, 1, 5, 10, 2, 1, 6, 1, 1, 10, 2, 2, 10, 1, 2, 6, 2, 6, 2, 1, 6, 1, 2, 2, 6, 10, 6, 2, 1, 6, 2, 1, 6, 10, 10, 2, 6, 2, 6, 1, 10, 6, 6, 2, 10, 1, 10, 10, 10, 1, 2, 6, 1, 6, 6, 6, 10, 2, 2, 1, 6, 10, 10, 2, 10, 1, 1, 10, 1, 2, 6, 1, 6, 2, 1, 1, 6, 10, 6, 1, 6, 10, 6, 10, 2, 1, 10, 6, 10, 1, 2, 2, 1, 10, 1, 2, 6, 6, 6, 1, 10, 10, 2, 2, 6, 2, 6, 6, 6, 2, 1, 2, 2, 10, 2, 10, 6, 1, 10, 5, 1, 2, 2, 1, 1, 1, 1, 10, 10, 2, 6, 2, 10, 10, 6, 6, 9, 2, 6, 1, 5, 2, 1, 6, 0, 6, 5, 6, 10, 1, 10, 6, 2, 6, 10, 1, 6, 6, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 10, 6, 2, 2, 9, 1, 4, 10, 1, 2, 6, 6, 10, 1, 1, 10, 10, 10, 6, 6, 1, 2, 6, 1, 10, 2, 6, 1, 10, 6, 1, 6, 10, 10, 6, 2, 2, 2, 1, 6, 0, 1, 2, 10, 2, 1, 10, 1, 2, 10, 9, 1, 6, 1, 10, 1, 6, 1, 1, 10, 10, 4, 10, 2, 2, 9, 1, 10, 2, 2, 10, 1, 1, 2, 10, 1, 6, 10, 2, 6, 2, 0, 6, 6, 10, 6, 10, 6, 2, 6, 2, 9, 2, 6, 1, 4, 2, 2, 2, 10, 10, 0, 10, 1, 1, 6, 2, 2, 6, 10, 2, 1, 6, 10, 2, 6, 10, 10, 6, 2, 2, 6, 5, 6, 2, 1, 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10, 2, 1, 6, 6, 10, 1, 1, 2, 1, 6, 2, 1, 2, 9, 6, 10, 4, 10, 1, 1, 5, 6, 6, 2, 1, 2, 2, 5, 6, 2, 1, 1, 2, 1, 10, 10, 2, 2, 2, 6, 1, 6, 6, 2, 6, 10, 2, 10, 10, 2, 2, 2, 6, 1, 6, 10, 4, 6, 2, 6, 6, 1, 6, 10, 2, 1, 6, 1, 2, 1, 6, 2, 2, 6, 6, 6, 6, 10, 10, 10, 2, 10, 1, 0, 6, 6, 2, 6, 6, 1, 10, 1, 6, 1, 6, 2, 10, 1, 6, 10, 2, 2, 6, 2, 2, 6, 2, 10, 6, 6, 1, 6, 10, 6, 2, 1, 10, 10, 10, 1, 6, 10, 6, 1, 2, 6, 4, 2, 2, 10, 6, 10, 1, 2, 10, 1, 6, 10, 1, 6, 1, 10, 6, 5, 10, 6, 6, 2, 10, 2, 2, 2, 1, 6, 2, 10, 10, 6, 6, 1, 1, 1, 6, 1, 6, 1, 1, 6, 2, 10, 2, 1, 2, 6, 10, 1, 10, 6, 1, 1, 2, 1, 1, 1, 1, 6, 6, 6, 10, 1, 2, 10, 6, 6, 6, 6, 10, 2, 1, 10, 2, 2, 10, 6, 10, 10, 2, 6, 10, 6, 1, 2, 9, 10, 1, 2, 10, 1, 1, 1, 1, 10, 2, 1, 6, 1, 2, 1, 10, 1, 6, 1, 10, 1, 40, 10, 10, 10, 10, 6, 2, 6, 10, 6, 1, 6, 9, 6, 5, 6, 6, 2, 10, 1, 10, 1, 1, 6, 2, 10, 6, 10, 10, 10, 6, 1, 1, 2, 10, 2, 4, 2, 2, 1, 6, 2, 6, 1, 1, 6, 6, 2, 6, 1, 10, 2, 10, 10, 10, 1, 2, 2, 6, 10, 9, 6, 6, 10, 1, 2, 10, 10, 2, 1, 0, 2, 0, 10, 2, 6, 6, 1, 1, 6, 6, 1, 6, 6, 2, 10, 1, 1, 1, 2, 2, 2, 10, 1, 10, 6, 10, 2, 6, 2, 10, 2, 10, 6, 2, 6, 1, 2, 6, 10, 1, 6, 1, 2, 1, 1, 1, 6, 10, 2, 6, 2, 1, 10, 10, 6, 10, 6, 2, 1, 2, 10, 1, 10, 6, 2, 10, 6, 6, 6, 10, 6, 6, 6, 2, 1, 10, 1, 2, 1, 1, 2, 2, 1, 2, 10, 6, 2, 1, 10, 2, 9, 1, 2, 10, 5, 2, 10, 6, 2, 10, 6, 1, 2, 1, 10, 6, 2, 2, 1, 6, 10, 6, 10, 2, 2, 2, 6, 10, 10, 0, 1, 2, 2, 6, 10, 2, 6, 1, 6, 1, 10, 6, 6, 1, 6, 6, 10, 1, 1, 2, 2, 1, 6, 10, 10, 2, 2, 10, 6, 1, 9, 2, 2, 2, 6, 1, 10, 6, 1, 1, 1, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6, 1, 2, 10, 6, 10, 10, 6, 6, 2, 6, 2, 6, 1, 6, 10, 6, 1, 10, 6, 6, 6, 1, 10, 6, 2, 6, 10, 1, 1, 10, 2, 10, 1, 10, 6, 10, 6, 10, 10, 1, 5, 1, 0, 1, 1, 1, 2, 10, 2, 10, 2, 2, 1, 6, 10, 6, 10, 1, 10, 2, 2, 10, 6, 6, 6, 6, 10, 5, 6, 10, 6, 1, 6, 1, 2, 0, 6, 2, 10, 10, 10, 6, 6, 4, 10, 6, 10, 1, 1, 10, 10, 6, 10, 2, 2, 2, 6, 1, 5, 1, 10, 6, 10, 10, 10, 10, 10, 1, 1, 1, 6, 10, 2, 1, 10, 2, 10, 10, 1, 2, 2, 2, 2, 6, 1, 1, 1, 10, 2, 1, 10, 2, 2, 1, 1, 10, 1, 10, 6, 10, 1, 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10, 2, 2, 2, 1, 6, 6, 6, 10, 10, 1, 1, 1, 2, 0, 6, 2, 0, 2, 1, 10, 6, 2, 10, 2, 2, 10, 2, 1, 9, 6, 10, 1, 10, 10, 1, 6, 6, 6, 10, 6, 6, 1, 1, 10, 1, 1, 6, 2, 1, 6, 10, 2, 1, 6, 0, 1, 6, 10, 6, 6, 10, 6, 6, 10, 10, 1, 6, 10, 10, 6, 2, 10, 1, 1, 6, 1, 2, 1, 6, 6, 1, 6, 10, 10, 2, 2, 6, 10, 10, 10, 1, 1, 10, 1, 1, 6, 2, 1, 10, 10, 2, 10, 1, 6, 4, 6, 10, 10, 6, 6, 2, 10, 2, 10, 10, 6, 10, 6, 1, 1, 1, 2, 10, 1, 6, 6, 1, 9, 10, 1, 10, 10, 1, 10, 9, 1, 6, 5, 6, 6, 1, 6, 10, 2, 6, 2, 2, 2, 10, 6, 9, 6, 2, 6, 10, 1, 6, 4, 2, 2, 1, 10, 1, 2, 1, 6, 6, 1, 9, 2, 10, 10, 2, 2, 2, 10, 2, 2, 10, 2, 1, 1, 2, 1, 1, 1, 2, 1, 6, 1, 1, 6, 1, 6, 6, 6, 2, 6, 5, 6, 1, 6, 2, 6, 2, 2, 1, 1, 1, 10, 6, 2, 10, 10, 10, 10, 6, 10, 6, 2, 10, 2, 2, 6, 2, 1, 6, 1, 10, 10, 2, 6, 10, 1, 1, 1, 1, 10, 1, 2, 10, 6, 2, 1, 10, 1, 6, 2, 2, 2, 10, 2, 6, 6, 1, 10, 1, 10, 1, 10, 10, 2, 6, 6, 6, 1, 2, 6, 1, 10, 2, 6, 2, 1, 10, 2, 10, 1, 10, 6, 2, 10, 2, 10, 4, 10, 5, 5, 10, 2, 2, 2, 10, 6, 10, 6, 10, 6, 6, 10, 2, 1, 10, 9, 6, 2, 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1, 10, 10, 1, 2, 6, 10, 6, 6, 10, 10, 6, 6, 2, 10, 6, 6, 6, 2, 1, 6, 2, 2, 9, 6, 1, 0, 6, 6, 10, 1, 6, 10, 1, 6, 1, 6, 6, 2, 1, 6, 6, 1, 6, 10, 2, 2, 2, 10, 6, 6, 1, 2, 1, 1, 2, 1, 1, 10, 1, 2, 2, 2, 6, 6, 6, 1, 6, 1, 6, 2, 1, 6, 10, 10, 6, 10, 6, 10, 2, 1, 1, 2, 10, 2, 6, 2, 2, 2, 1, 10, 6, 10, 6, 2, 10, 2, 10, 1, 2, 6, 2, 1, 10, 2, 10, 10, 1, 6, 2, 6, 10, 4, 1, 6, 10, 6, 1, 10, 10, 2, 2, 6, 6, 1, 1, 10, 1, 2, 1, 1, 1, 6, 1, 2, 10, 6, 1, 1, 2, 6, 2, 10, 4, 1, 10, 10, 2, 2, 6, 10, 1, 6, 6, 1, 6, 2, 6, 2, 2, 1, 10, 1, 6, 2, 6, 10, 10, 9, 6, 2, 10, 10, 6, 1, 1, 0, 10, 1, 1, 6, 1, 2, 2, 1, 1, 10, 1, 1, 10, 9, 8, 10, 5, 2, 10, 2, 1, 6, 0, 5, 2, 10, 1, 2, 1, 6, 6, 60, 6, 6, 10, 6, 6, 10, 2, 10, 10, 5, 1, 1, 10, 10, 6, 2, 2, 2, 1, 10, 10, 1, 1, 2, 10, 1, 1, 6, 10, 2, 2, 1, 2, 6, 1, 2, 2, 1, 2, 2, 2, 1, 6, 1, 10, 6, 1, 2, 1, 1, 6, 10, 10, 4, 10, 1, 10, 6, 6, 6, 2, 6, 0, 10, 1, 1, 4, 2, 1, 1, 2, 1, 2, 10, 6, 1, 1, 2, 10, 1, 2, 6, 2, 2, 10, 6, 2, 1, 1, 10, 1, 6, 6, 10, 6, 6, 1, 10, 1, 10, 1, 6, 6, 2, 5, 2, 6, 2, 2, 2, 1, 10, 2, 10, 1, 10, 1, 1, 9, 10, 1, 10, 10, 1, 2, 2, 10, 6, 0, 2, 10, 10, 1, 2, 1, 6, 1, 2, 1, 1, 2, 2, 10, 1, 1, 1, 1, 2, 4, 1, 10, 2, 10, 2, 9, 1, 10, 10, 1, 10, 2, 2, 6, 1, 2, 10, 10, 0, 2, 2, 10, 6, 2, 10, 1, 10, 6, 6, 6, 1, 6, 2, 1, 1, 1, 6, 10, 10, 1, 2, 2, 6, 1, 10, 10, 2, 1, 6, 10, 6, 6, 6, 6, 10, 9, 1, 6, 2, 6, 6, 6, 6, 1, 10, 10, 6, 2, 6, 1, 6, 6, 2, 6, 10, 1, 6, 60, 2, 2, 6, 2, 6, 2, 2, 10, 1, 1, 10, 6, 2, 2, 10, 10, 6, 1, 10, 1, 2, 10, 6, 1, 6, 6, 2, 6, 1, 6, 6, 1, 1, 6, 10, 2, 1, 10, 1, 6, 1, 2, 6, 2, 1, 2, 2, 2, 6, 1, 2, 6, 10, 0, 1, 1, 2, 2, 6, 6, 1, 2, 10, 1, 10, 6, 6, 1, 1, 6, 10, 2, 10, 6, 2, 1, 1, 10, 10, 1, 2, 1, 2, 1, 6, 2, 1, 10, 1, 10, 6, 6, 6, 6, 2, 1, 10, 1, 2, 2, 10, 1, 10, 5, 2, 10, 1, 10, 10, 1, 10, 10, 9, 6, 5, 6, 2, 1, 2, 6, 6, 10, 2, 10, 10, 2, 10, 1, 1, 2, 1, 1, 10, 6, 6, 10, 6, 2, 6, 6, 2, 2, 10, 9, 2, 2, 6, 6, 6, 10, 2, 6, 1, 6, 5, 10, 10, 1, 6, 2, 10, 2, 6, 10, 1, 10, 2, 10, 1, 6, 10, 1, 2, 10, 2, 2, 10, 10, 2, 2, 1, 6, 10, 10, 1, 1, 6, 2, 1, 10, 6, 6, 1, 2, 2, 10, 6, 1, 10, 1, 5, 10, 2, 1, 10, 2, 2, 10, 10, 6, 2, 2, 10, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 10, 2, 6, 2, 2, 1, 5, 6, 2, 2, 0, 1, 2, 1, 2, 6, 1, 1, 2, 2, 6, 2, 1, 10, 1, 1, 6, 2, 2, 1, 2, 10, 2, 10, 10, 9, 1, 6, 2, 2, 2, 10, 10, 6, 2, 6, 2, 6, 6, 2, 6, 10, 2, 6, 1, 10, 6, 2, 2, 6, 1, 2, 2, 0, 2, 2, 6, 10, 1, 6, 2, 10, 2, 10, 2, 2, 1, 1, 10, 6, 1, 10, 2, 10, 1, 10, 10, 10, 6, 10, 6, 2, 2, 10, 2, 1, 2, 6, 6, 10, 10, 1, 10, 10, 6, 2, 2, 2, 10, 10, 2, 2, 1, 2, 2, 10, 10, 2, 6, 1, 6, 1, 2, 2, 1, 1, 10, 6, 2, 2, 6, 6, 6, 6, 2, 1, 10, 10, 6, 2, 6, 2, 6, 6, 6, 10, 2, 10, 10, 0, 2, 10, 2, 6, 10, 10, 1, 1, 1, 6, 1, 10, 2, 2, 10, 2, 1, 6, 2, 10, 6, 10, 1, 1, 2, 10, 1, 1, 6, 1, 2, 0, 10, 10, 10, 10, 1, 6, 2, 6, 2, 1, 6, 1, 10, 2, 2, 10, 1, 6, 10, 6, 1, 1, 2, 10, 1, 2, 2, 2, 6, 6, 6, 10, 10, 10, 6, 10, 1, 2, 1, 1, 2, 10, 6, 6, 1, 10, 6, 1, 2, 2, 1, 2, 2, 1, 2, 6, 10, 4, 10, 6, 6, 1, 1, 10, 10, 2, 2, 10, 6, 2, 6, 1, 1, 10, 6, 2, 10, 1, 6, 6, 10, 1, 10, 10, 10, 10, 6, 6, 6, 10, 6, 2, 10, 6, 4, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 10, 10, 2, 0, 2, 10, 1, 10, 6, 6, 2, 6, 1, 6, 2, 1, 2, 10, 2, 1, 10, 6, 10, 10, 2, 40, 10, 1, 1, 1, 6, 2, 5, 1, 1, 6, 2, 6, 6, 10, 2, 6, 10, 10, 10, 10, 2, 6, 1, 10, 1, 2, 10, 10, 1, 2, 1, 6, 10, 9, 6, 1, 1, 6, 10, 2, 2, 1, 2, 10, 1, 1, 10, 1, 6, 2, 2, 10, 10, 2, 1, 1, 1, 10, 6, 1, 2, 6, 2, 10, 1, 10, 2, 10, 1, 2, 2, 6, 6, 2, 10, 6, 2, 1, 6, 10, 6, 10, 2, 2, 1, 2, 6, 2, 6, 6, 2, 6, 1, 10, 10, 2, 6, 6, 2, 6, 1, 6, 6, 6, 2, 6, 10, 6, 1, 6, 10, 1, 2, 6, 6, 6, 2, 2, 6, 10, 6, 6, 6, 10, 10, 0, 6, 1, 0, 2, 10, 6, 6, 6, 2, 6, 1, 10, 1, 10, 6, 6, 6, 6, 10, 2, 6, 2, 10, 6, 6, 6, 2, 6, 1, 6, 1, 2, 10, 2, 6, 2, 1, 1, 1, 1, 2, 1, 2, 10, 10, 6, 10, 1, 10, 2, 1, 2, 1, 10, 9, 1, 6, 2, 10, 1, 6, 6, 2, 1, 9, 1, 0, 1, 2, 2, 5, 2, 10, 2, 1, 6, 0, 10, 4, 2, 2, 10, 10, 10, 10, 6, 6, 1, 6, 10, 6, 6, 10, 1, 2, 6, 6, 10, 1, 1, 6, 6, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 6, 1, 4, 2, 10, 10, 10, 6, 10, 2, 10, 10, 1, 10, 6, 1, 2, 1, 1, 2, 10, 10, 10, 2, 6, 10, 10, 1, 1, 6, 2, 6, 2, 6, 6, 2, 10, 10, 2, 1, 6, 10, 10, 10, 10, 1, 6, 1, 10, 10, 1, 10, 2, 10, 2, 1, 2, 2, 1, 10, 10, 10, 2, 6, 6, 6, 2, 10, 1, 2, 6, 6, 10, 1, 5, 10, 1, 1, 2, 1, 6, 6, 9, 6, 10, 6, 10, 6, 10, 2, 6, 2, 6, 6, 1, 10, 1, 6, 1, 6, 4, 4, 6, 6, 2, 2, 2, 2, 6, 1, 1, 6, 10, 2, 10, 1, 2, 6, 2, 6, 6, 1, 2, 2, 10, 10, 1, 2, 6, 10, 2, 6, 2, 2, 1, 1, 6, 6, 1, 1, 10, 6, 10, 2, 2, 2, 2, 10, 10, 10, 1, 1, 6, 10, 2, 2, 2, 2, 10, 6, 1, 10, 1, 6, 6, 2, 6, 6, 2, 10, 5, 2, 6, 1, 2, 2, 1, 2, 2, 9, 10, 10, 10, 10, 6, 10, 6, 1, 10, 10, 10, 2, 6, 6, 6, 10, 2, 6, 6, 6, 2, 1, 2, 10, 2, 1, 6, 10, 6, 1, 10, 10, 6, 10, 2, 6, 10, 2, 1, 6, 10, 6, 1, 6, 1, 1, 2, 1, 1, 6, 6, 1, 0, 10, 6, 6, 1, 6, 2, 1, 2, 6, 10, 2, 2, 10, 6, 10, 6, 2, 4, 6, 10, 2, 6, 2, 1, 6, 2, 1, 2, 6, 10, 10, 6, 10, 2, 10, 1, 6, 2, 1, 6, 2, 1, 1, 6, 10, 1, 6, 2, 1, 6, 10, 6, 0, 2, 6, 10, 2, 1, 10, 1, 1, 6, 1, 6, 10, 2, 1, 1, 2, 6, 10, 1, 6, 2, 1, 6, 6, 10, 10, 6, 6, 1, 6, 6, 6, 10, 6, 2, 10, 1, 6, 1, 6, 2, 6, 1, 10, 10, 6, 10, 10, 1, 2, 10, 2, 1, 1, 1, 2, 10, 6, 2, 1, 6, 2, 2, 10, 9, 2, 1, 2, 1, 10, 2, 10, 6, 1, 2, 1, 10, 9, 2, 10, 1, 6, 6, 10, 1, 1, 2, 6, 2, 1, 6, 2, 10, 6, 1, 10, 1, 6, 1, 6, 6, 10, 10, 10, 2, 1, 6, 2, 1, 2, 2, 6, 10, 6, 10, 6, 1, 2, 6, 1, 2, 6, 10, 1, 6, 2, 1, 2, 5, 2, 6, 2, 6, 2, 1, 2, 2, 10, 6, 1, 2, 2, 10, 2, 10, 2, 1, 6, 1, 6, 10, 6, 1, 1, 1, 2, 1, 10, 10, 1, 2, 10, 2, 6, 6, 1, 10, 10, 1, 6, 2, 10, 6, 2, 6, 1, 6, 2, 2, 10, 2, 0, 1, 1, 6, 1, 6, 1, 2, 10, 2, 6, 6, 1, 6, 2, 2, 6, 10, 6, 2, 1, 10, 1, 6, 10, 6, 1, 6, 1, 10, 10, 6, 6, 10, 1, 1, 10, 10, 1, 10, 1, 10, 2, 2, 6, 6, 6, 2, 1, 6, 2, 10, 10, 1, 6, 10, 6, 2, 2, 2, 6, 2, 6, 1, 1, 10, 10, 1, 1, 1, 1, 2, 10, 10, 2, 1, 10, 6, 6, 1, 6, 1, 2, 1, 2, 2, 8, 2, 2, 6, 10, 6, 10, 6, 1, 10, 2, 2, 6, 1, 1, 10, 1, 6, 10, 1, 40, 2, 1, 6, 1, 2, 2, 10, 1, 2, 6, 10, 1, 1, 1, 1, 1, 10, 10, 2, 6, 2, 10, 1, 10, 1, 2, 6, 10, 2, 2, 2, 6, 6, 5, 6, 6, 6, 10, 1, 10, 10, 10, 6, 2, 2, 10, 5, 10, 6, 6, 2, 1, 6, 10, 10, 2, 10, 1, 10, 6, 2, 10, 10, 2, 6, 1, 6, 6, 1, 10, 2, 6, 10, 10, 1, 1, 2, 1, 1, 6, 6, 6, 1, 1, 10, 9, 1, 1, 1, 10, 1, 2, 1, 10, 2, 2, 6, 6, 10, 2, 2, 2, 6, 6, 1, 1, 6, 6, 2, 10, 10, 2, 10, 1, 1, 2, 2, 6, 1, 1, 1, 6, 9, 10, 1, 6, 1, 2, 0, 10, 6, 1, 6, 10, 10, 6, 10, 10, 1, 1, 1, 6, 1, 10, 1, 6, 2, 10, 1, 10, 10, 10, 2, 6, 10, 6, 1, 6, 2, 10, 10, 1, 1, 6, 1, 2, 6, 6, 1, 1, 10, 1, 6, 10, 10, 1, 2, 6, 10, 2, 2, 10, 2, 6, 1, 6, 10, 6, 2, 6, 6, 1, 6, 2, 2, 10, 6, 1, 10, 6, 10, 2, 1, 1, 2, 10, 1, 10, 2, 10, 2, 10, 2, 2, 6, 1, 1, 2, 6, 2, 6, 6, 2, 2, 10, 10, 10, 10, 10, 2, 6, 1, 10, 10, 10, 10, 10, 2, 1, 2, 10, 6, 2, 1, 10, 1, 2, 6, 2, 10, 2, 6, 2, 6, 2, 10, 6, 6, 6, 6, 1, 10, 6, 1, 6, 10, 10, 10, 10, 10, 1, 2, 2, 10, 2, 1, 2, 2, 10, 2, 6, 10, 2, 6, 2, 10, 6, 6, 1, 6, 2, 10, 2, 1, 2, 6, 1, 10, 2, 6, 6, 6, 6, 2, 2, 1, 2, 2, 10, 10, 6, 6, 10, 6, 6, 10, 6, 1, 1, 10, 6, 1, 1, 4, 2, 1, 10, 10, 10, 6, 2, 4, 1, 1, 2, 2, 6, 2, 6, 5, 2, 1, 1, 2, 6, 10, 6, 1, 2, 1, 10, 10, 5, 2, 2, 10, 10, 2, 1, 10, 6, 10, 2, 6, 10, 10, 6, 2, 6, 10, 1, 1, 2, 2, 6, 2, 2, 2, 10, 6, 0, 10, 0, 6, 10, 10, 1, 2, 6, 6, 6, 60, 2, 2, 6, 1, 2, 2, 10, 2, 10, 1, 10, 2, 1, 0, 6, 10, 10, 2, 6, 6, 6, 6, 2, 10, 2, 2, 2, 6, 2, 2, 2, 5, 1, 1, 10, 4, 1, 10, 1, 1, 1, 6, 10, 2, 6, 10, 4, 6, 6, 1, 4, 10, 1, 10, 6, 2, 10, 1, 6, 1, 2, 6, 10, 6, 10, 2, 10, 5, 6, 2, 2, 2, 10, 10, 10, 6, 2, 2, 1, 6, 2, 2, 2, 1, 1, 6, 2, 6, 10, 10, 6, 2, 1, 10, 2, 1, 10, 10, 2, 10, 1, 6, 10, 10, 6, 2, 10, 2, 6, 1, 2, 1, 1, 2, 1, 2, 6, 6, 2, 9, 10, 1, 6, 6, 0, 2, 0, 10, 2, 10, 10, 10, 2, 6, 10, 1, 1, 1, 6, 6, 1, 2, 6, 6, 10, 6, 10, 6, 6, 6, 1, 10, 6, 6, 10, 2, 10, 2, 6, 10, 2, 1, 4, 10, 2, 10, 1, 6, 2, 2, 10, 10, 2, 10, 6, 1, 10, 10, 6, 10, 6, 6, 1, 2, 6, 10, 6, 2, 6, 6, 10, 10, 1, 2, 6, 6, 2, 10, 1, 6, 1, 10, 2, 1, 6, 2, 1, 6, 10, 1, 1, 1, 10, 2, 2, 10, 6, 2, 10, 6, 2, 6, 1, 6, 1, 2, 6, 2, 10, 1, 10, 9, 10, 2, 10, 2, 2, 2, 6, 6, 10, 10, 10, 1, 10, 1, 1, 2, 10, 2, 10, 2, 6, 10, 1, 1, 10, 6, 2, 2, 1, 6, 10, 1, 10, 10, 6, 6, 10, 10, 10, 10, 10, 10, 10, 1, 1, 4, 0, 1, 4, 2, 2, 6, 1, 10, 10, 6, 10, 1, 1, 2, 10, 6, 9, 2, 1, 10, 6, 1, 6, 2, 10, 6, 10, 6, 1, 2, 2, 10, 0, 1, 1, 0, 2, 1, 1, 2, 2, 6, 10, 1, 1, 2, 6, 6, 1, 1, 10, 10, 6, 10, 2, 2, 1, 6, 10, 1, 1, 6, 6, 9, 2, 2, 10, 6, 1, 1, 1, 6, 1, 2, 10, 6, 10, 6, 10, 1, 10, 1, 2, 6, 2, 10, 6, 1, 10, 6, 2, 2, 2, 6, 10, 2, 2, 10, 6, 2, 10, 6, 10, 10, 2, 1, 2, 10, 2, 2, 9, 2, 1, 10, 1, 10, 6, 2, 10, 2, 10, 2, 10, 1, 6, 6, 10, 1, 2, 1, 1, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 1, 1, 10, 2, 6, 6, 2, 6, 5, 6, 10, 10, 2, 6, 6, 1, 1, 1, 10, 6, 9, 1, 1, 6, 10, 1, 10, 10, 2, 2, 2, 5, 1, 10, 1, 10, 1, 1, 6, 1, 2, 2, 6, 10, 1, 6, 6, 6, 1, 1, 6, 2, 2, 2, 6, 10, 2, 10, 1, 2, 10, 6, 6, 1, 1, 2, 10, 10, 2, 1, 2, 1, 1, 6, 1, 6, 10, 6, 2, 10, 10, 10, 10, 10, 9, 1, 10, 10, 6, 10, 2, 6, 1, 6, 10, 2, 2, 10, 2, 6, 10, 10, 6, 1, 2, 2, 6, 6, 10, 10, 2, 2, 6, 6, 1, 10, 1, 1, 2, 10, 6, 6, 6, 6, 10, 10, 1, 10, 6, 10, 1, 9, 6, 1, 6, 9, 5, 2, 10, 6, 6, 2, 0, 10, 2, 1, 2, 1, 1, 1, 10, 2, 2, 6, 10, 1, 1, 2, 10, 2, 10, 2, 1, 10, 2, 10, 10, 1, 6, 2, 2, 6, 10, 5, 6, 0, 2, 2, 10, 1, 2, 2, 6, 10, 1, 1, 6, 1, 6, 10, 6, 1, 1, 10, 6, 1, 6, 6, 1, 10, 2, 10, 2, 6, 6, 2, 10, 10, 1, 10, 6, 6, 10, 2, 10, 2, 1, 2, 6, 6, 6, 2, 1, 10, 4, 1, 6, 10, 2, 6, 6, 2, 2, 2, 6, 6, 1, 2, 6, 10, 1, 2, 2, 6, 1, 10, 2, 6, 2, 2, 10, 6, 10, 6, 6, 2, 2, 6, 6, 2, 2, 6, 2, 1, 10, 6, 1, 1, 10, 2, 1, 1, 1, 10, 1, 2, 6, 4, 6, 1, 2, 1, 1, 5, 1, 1, 6, 10, 2, 1, 6, 10, 1, 2, 2, 2, 10, 2, 6, 10, 10, 1, 1, 10, 6, 10, 6, 10, 2, 1, 1, 1, 6, 6, 6, 10, 1, 6, 2, 1, 2, 2, 6, 1, 5, 2, 1, 2, 10, 1, 6, 1, 2, 1, 1, 1, 1, 1, 6, 10, 10, 9, 6, 2, 5, 6, 1, 6, 2, 6, 1, 6, 2, 1, 10, 6, 6, 1, 6, 2, 6, 10, 10, 6, 10, 10, 10, 1, 10, 1, 5, 1, 2, 2, 10, 2, 6, 6, 1, 2, 10, 6, 6, 2, 6, 10, 2, 2, 6, 10, 10, 2, 1, 2, 1, 10, 1, 1, 1, 6, 6, 10, 2, 2, 6, 6, 1, 2, 1, 1, 1, 1, 10, 6, 1, 1, 10, 2, 6, 4, 6, 1, 6, 1, 2, 1, 10, 1, 6, 2, 6, 10, 6, 2, 10, 1, 10, 2, 10, 2, 1, 2, 1, 6, 6, 10, 10, 1, 2, 6, 10, 1, 6, 2, 2, 6, 1, 2, 2, 2, 6, 1, 10, 10, 10, 10, 5, 6, 6, 1, 1, 2, 1, 2, 2, 6, 2, 10, 2, 2, 2, 1, 2, 10, 1, 10, 6, 10, 2, 9, 2, 2, 1, 2, 1, 6, 10, 2, 2, 10, 6, 10, 1, 10, 1, 6, 1, 6, 6, 10, 10, 6, 6, 10, 10, 2, 10, 2, 6, 1, 10, 4, 6, 2, 2, 2, 6, 2, 10, 1, 10, 2, 2, 10, 10, 6, 10, 6, 1, 1, 10, 10, 1, 10, 6, 10, 1, 2, 10, 6, 10, 6, 1, 10, 1, 6, 4, 6, 1, 2, 6, 2, 10, 2, 1, 6, 6, 2, 1, 2, 6, 1, 2, 6, 2, 1, 10, 6, 1, 6, 10, 10, 2, 10, 10, 2, 6, 10, 6, 6, 10, 1, 10, 6, 1, 1, 2, 10, 6, 1, 2, 1, 10, 1, 6, 2, 10, 2, 10, 4, 0, 2, 10, 2, 10, 10, 6, 10, 6, 10, 10, 10, 1, 2, 6, 6, 10, 6, 10, 10, 6, 1, 6, 2, 10, 1, 10, 1, 2, 6, 1, 2, 1, 1, 1, 2, 10, 10, 6, 6, 1, 2, 10, 2, 1, 10, 10, 6, 1, 10, 1, 6, 1, 6, 2, 10, 2, 6, 2, 2, 1, 1, 10, 10, 6, 6, 10, 1, 10, 1, 2, 2, 6, 1, 1, 1, 6, 1, 6, 2, 10, 2, 2, 2, 1, 10, 6, 1, 1, 1, 10, 2, 10, 6, 10, 1, 6, 1, 2, 2, 2, 1, 10, 1, 6, 10, 1, 1, 6, 2, 2, 1, 1, 6, 1, 6, 6, 1, 10, 1, 10, 10, 6, 6, 1, 1, 6, 2, 6, 1, 2, 10, 1, 1, 6, 6, 6, 1, 6, 1, 6, 10, 6, 1, 2, 2, 1, 6, 1, 10, 10, 2, 10, 10, 2, 2, 1, 1, 1, 2, 10, 6, 2, 10, 6, 1, 6, 2, 2, 1, 5, 6, 1, 10, 6, 6, 10, 1, 10, 1, 6, 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10, 1, 6, 6, 2, 2, 6, 6, 1, 2, 10, 1, 10, 1, 1, 4, 2, 1, 6, 10, 9, 10, 1, 1, 6, 2, 2, 6, 10, 6, 2, 5, 6, 6, 1, 1, 10, 1, 6, 2, 6, 2, 2, 6, 2, 6, 6, 2, 6, 6, 2, 6, 1, 2, 6, 6, 10, 1, 10, 2, 6, 6, 1, 10, 6, 2, 6, 10, 2, 6, 1, 1, 6, 2, 10, 1, 2, 1, 6, 1, 1, 10, 10, 2, 2, 1, 1, 10, 6, 6, 2, 6, 1, 2, 10, 1, 6, 1, 10, 1, 1, 10, 9, 1, 6, 6, 10, 2, 10, 2, 10, 1, 6, 6, 10, 6, 2, 2, 10, 2, 2, 6, 10, 2, 2, 1, 1, 6, 6, 2, 6, 10, 1, 6, 6, 2, 2, 10, 6, 10, 1, 10, 10, 10, 10, 2, 2, 2, 1, 10, 6, 6, 1, 2, 6, 10, 2, 10, 6, 10, 10, 6, 2, 2, 10, 1, 2, 2, 1, 10, 10, 1, 6, 2, 2, 0, 2, 6, 1, 10, 0, 1, 2, 1, 2, 2, 6, 6, 2, 1, 6, 6, 10, 1, 10, 1, 6, 6, 2, 1, 10, 6, 2, 6, 6, 6, 6, 10, 10, 2, 6, 10, 1, 6, 10, 10, 10, 6, 10, 6, 1, 6, 1, 6, 6, 10, 1, 10, 2, 1, 6, 2, 10, 2, 2, 1, 6, 6, 2, 2, 10, 10, 1, 10, 6, 6, 10, 10, 2, 10, 1, 8, 2, 10, 10, 2, 1, 1, 6, 10, 10, 1, 10, 1, 2, 1, 2, 10, 10, 2, 10, 1, 10, 1, 1, 6, 2, 1, 10, 2, 2, 5, 2, 6, 10, 1, 2, 1, 6, 1, 10, 10, 10, 1, 1, 2, 6, 6, 2, 6, 2, 10, 6, 6, 6, 9, 10, 6, 10, 10, 2, 10, 10, 2, 2, 10, 6, 6, 10, 2, 10, 10, 2, 2, 2, 6, 10, 1, 10, 2, 2, 1, 1, 2, 6, 10, 6, 10, 6, 2, 6, 1, 1, 6, 2, 6, 1, 10, 1, 2, 10, 6, 10, 2, 6, 6, 10, 10, 6, 1, 2, 1, 1, 1, 2, 2, 10, 2, 1, 6, 1, 2, 6, 1, 6, 2, 1, 10, 5, 2, 10, 1, 10, 10, 1, 1, 9, 2, 6, 2, 2, 6, 1, 2, 6, 1, 2, 10, 10, 1, 10, 0, 1, 1, 1, 10, 6, 1, 10, 1, 6, 1, 2, 2, 6, 2, 6, 10, 2, 6, 6, 10, 2, 2, 1, 2, 2, 6, 10, 1, 2, 2, 10, 1, 2, 1, 1, 6, 10, 2, 1, 9, 2, 1, 2, 6, 1, 6, 10, 2, 10, 2, 10, 2, 1, 10, 10, 2, 1, 1, 10, 10, 6, 10, 6, 2, 10, 6, 1, 2, 2, 2, 6, 10, 2, 2, 10, 2, 6, 6, 6, 2, 1, 2, 2, 2, 1, 10, 1, 6, 6, 6, 10, 1, 2, 10, 1, 10, 2, 1, 2, 2, 1, 10, 10, 2, 10, 6, 1, 1, 1, 10, 6, 6, 1, 10, 9, 2, 6, 6, 1, 1, 2, 1, 2, 10, 1, 2, 2, 10, 1, 10, 10, 2, 2, 2, 2, 1, 10, 6, 2, 2, 2, 10, 1, 2, 10, 2, 1, 1, 10, 2, 10, 6, 10, 6, 2, 1, 10, 2, 2, 1, 6, 2, 1, 6, 2, 1, 1, 1, 10, 6, 1, 6, 6, 6, 10, 2, 6, 2, 6, 10, 10, 10, 6, 2, 2, 10, 6, 6, 6, 2, 6, 6, 2, 2, 10, 2, 10, 6, 1, 1, 0, 4, 6, 6, 6, 1, 4, 2, 10, 10, 2, 1, 10, 6, 6, 6, 6, 6, 1, 10, 6, 1, 2, 1, 10, 2, 2, 6, 2, 10, 1, 2, 6, 1, 1, 2, 1, 2, 2, 10, 1, 2, 1, 2, 6, 10, 1, 0, 6, 6, 1, 1, 6, 2, 6, 10, 1, 10, 2, 2, 2, 2, 6, 10, 1, 2, 2, 6, 6, 6, 1, 6, 6, 6, 6, 1, 1, 2, 10, 10, 1, 6, 6, 2, 2, 2, 1, 2, 10, 10, 1, 2, 2, 2, 10, 6, 2, 1, 6, 1, 6, 2, 2, 2, 1, 1, 1, 2, 6, 6, 10, 10, 10, 4, 10, 2, 2, 10, 6, 6, 6, 8, 2, 2, 10, 6, 1, 10, 6, 1, 6, 10, 1, 10, 2, 2, 6, 6, 10, 10, 2, 2, 6, 2, 2, 1, 2, 6, 10, 1, 1, 10, 2, 6, 10, 10, 6, 2, 6, 6, 1, 10, 6, 1, 2, 2, 2, 10, 6, 6, 1, 6, 1, 10, 1, 1, 2, 6, 6, 9, 1, 1, 10, 1, 2, 2, 1, 1, 6, 2, 10, 2, 6, 2, 6, 2, 2, 10, 6, 1, 6, 10, 6, 2, 1, 2, 1, 6, 2, 1, 6, 1, 10, 10, 6, 10, 1, 6, 2, 10, 2, 2, 6, 1, 6, 10, 6, 10, 6, 1, 6, 6, 1, 1, 2, 5, 2, 10, 1, 10, 2, 2, 6, 2, 1, 10, 1, 6, 1, 1, 1, 10, 10, 6, 2, 1, 2, 1, 2, 1, 1, 10, 10, 6, 2, 2, 1, 6, 2, 2, 10, 1, 2, 9, 6, 10, 5, 6, 1, 10, 1, 1, 10, 10, 4, 6, 2, 2, 6, 10, 2, 6, 10, 2, 6, 1, 2, 6, 2, 2, 1, 6, 10, 2, 1, 10, 5, 6, 4, 6, 10, 1, 6, 2, 2, 6, 10, 1, 6, 2, 2, 2, 6, 6, 1, 6, 0, 1, 9, 6, 6, 1, 10, 2, 2, 1, 2, 1, 6, 1, 2, 2, 10, 6, 6, 2, 2, 10, 10, 6, 1, 6, 10, 1, 1, 10, 2, 10, 6, 1, 10, 2, 10, 1, 10, 10, 6, 10, 1, 10, 6, 10, 10, 2, 10, 10, 10, 2, 1, 2, 1, 6, 6, 6, 2, 2, 6, 2, 2, 2, 10, 2, 10, 10, 10, 1, 1, 2, 10, 2, 1, 1, 6, 9, 1, 10, 1, 10, 10, 2, 2, 10, 6, 6, 2, 2, 1, 2, 6, 2, 1, 6, 6, 1, 10, 2, 0, 10, 2, 2, 1, 1, 1, 6, 10, 2, 2, 1, 2, 10, 10, 6, 1, 6, 2, 10, 2, 10, 10, 6, 2, 6, 1, 10, 10, 6, 1, 10, 2, 2, 1, 9, 10, 1, 1, 10, 1, 10, 1, 2, 6, 10, 10, 0, 6, 1, 10, 6, 10, 2, 2, 2, 6, 2, 10, 6, 6, 6, 1, 10, 10, 10, 6, 2, 6, 6, 2, 10, 6, 10, 10, 2, 1, 2, 1, 1, 2, 6, 2, 2, 1, 10, 6, 10, 6, 10, 6, 1, 2, 1, 1, 1, 10, 10, 10, 6, 6, 2, 1, 2, 2, 6, 2, 6, 2, 6, 1, 6, 1, 10, 6, 6, 10, 10, 1, 1, 1, 10, 10, 2, 2, 1, 2, 1, 2, 10, 10, 1, 1, 6, 10, 6, 2, 1, 1, 2, 10, 6, 10, 1, 1, 1, 10, 10, 1, 1, 10, 2, 2, 1, 1, 6, 2, 1, 6, 1, 1, 2, 10, 6, 1, 9, 6, 1, 6, 1, 2, 6, 1, 1, 10, 10, 6, 1, 6, 10, 6, 2, 6, 2, 6, 10, 2, 1, 6, 6, 10, 10, 1, 10, 1, 10, 0, 2, 9, 2, 2, 2, 6, 1, 2, 1, 6, 6, 2, 1, 1, 6, 6, 10, 10, 10, 6, 2, 10, 2, 6, 6, 2, 1, 1, 10, 1, 2, 10, 2, 10, 10, 1, 1, 2, 6, 60, 1, 6, 2, 1, 10, 10, 6, 1, 10, 10, 6, 6, 1, 1, 6, 10, 1, 6, 6, 1, 2, 6, 1, 1, 10, 6, 2, 2, 1, 2, 10, 6, 0, 6, 10, 10, 0, 6, 6, 10, 2, 1, 6, 2, 6, 2, 2, 2, 2, 1, 6, 6, 2, 6, 1, 2, 10, 10, 2, 1, 10, 10, 1, 6, 10, 2, 2, 1, 4, 1, 6, 2, 10, 10, 6, 2, 1, 2, 6, 10, 1, 2, 1, 10, 10, 6, 10, 1, 1, 2, 10, 6, 2, 2, 10, 6, 2, 2, 6, 4, 6, 10, 2, 6, 6, 10, 10, 10, 10, 10, 6, 10, 6, 6, 6, 1, 6, 10, 6, 0, 10, 6, 10, 1, 6, 6, 2, 1, 10, 6, 4, 1, 1, 2, 10, 10, 6, 2, 1, 10, 1, 1, 1, 2, 10, 4, 2, 1, 0, 1, 2, 6, 1, 10, 10, 2, 2, 10, 6, 2, 6, 2, 1, 6, 6, 2, 2, 2, 10, 10, 6, 10, 4, 2, 10, 2, 6, 6, 2, 6, 1, 1, 2, 2, 1, 6, 4, 1, 9, 10, 2, 2, 1, 9, 1, 10, 6, 6, 6, 10, 6, 6, 10, 6, 10, 1, 10, 6, 2, 10, 2, 1, 6, 6, 1, 1, 10, 1, 6, 6, 6, 6, 6, 1, 2, 6, 2, 10, 6, 2, 1, 1, 40, 1, 1, 2, 10, 1, 6, 4, 6, 2, 6, 1, 6, 6, 10, 2, 10, 1, 2, 1, 1, 6, 1, 6, 6, 2, 10, 10, 2, 2, 10, 6, 2, 2, 1, 2, 2, 10, 1, 6, 10, 0, 10, 6, 1, 1, 2, 6, 0, 1, 6, 6, 10, 1, 10, 1, 6, 6, 1, 6, 6, 10, 1, 10, 2, 6, 2, 1, 2, 1, 1, 6, 2, 1, 10, 2, 10, 1, 6, 1, 1, 2, 10, 1, 2, 6, 2, 10, 10, 6, 10, 1, 6, 2, 6, 2, 10, 6, 10, 10, 1, 10, 2, 10, 10, 1, 2, 1, 6, 10, 10, 10, 2, 1, 2, 1, 1, 0, 1, 6, 6, 6, 10, 2, 1, 1, 1, 10, 2, 10, 6, 10, 1, 5, 2, 6, 1, 10, 9, 0, 6, 10, 2, 6, 6, 6, 2, 2, 2, 2, 2, 6, 10, 6, 2, 10, 10, 6, 6, 10, 10, 6, 10, 10, 6, 1, 1, 10, 10, 10, 2, 1, 9, 1, 10, 1, 1, 1, 1, 1, 1, 0, 10, 5, 1, 10, 6, 1, 10, 10, 10, 2, 1, 2, 5, 1, 1, 1, 2, 2, 1, 2, 1, 2, 10, 2, 1, 2, 1, 2, 10, 1, 6, 1, 2, 6, 2, 2, 6, 1, 1, 10, 6, 1, 2, 10, 1, 10, 2, 2, 0, 1, 6, 10, 10, 1, 10, 10, 1, 2, 2, 1, 10, 6, 6, 2, 1, 1, 1, 2, 1, 10, 6, 2, 10, 10, 10, 1, 6, 10, 10, 10, 1, 6, 2, 10, 2, 6, 6, 2, 6, 6, 1, 6, 2, 6, 10, 6, 10, 0, 10, 5, 1, 1, 0, 6, 2, 1, 10, 1, 6, 2, 6, 10, 10, 1, 10, 2, 6, 10, 6, 10, 10, 1, 6, 6, 10, 6, 2, 6, 10, 10, 1, 1, 10, 2, 6, 10, 6, 6, 6, 2, 1, 1, 1, 6, 6, 2, 10, 6, 6, 10, 2, 4, 6, 1, 4, 10, 2, 2, 6, 2, 1, 10, 10, 1, 2, 6, 6, 6, 6, 10, 10, 10, 2, 10, 2, 1, 6, 10, 10, 2, 1, 6, 4, 6, 1, 10, 10, 6, 10, 6, 1, 10, 6, 1, 2, 10, 9, 1, 10, 1, 6, 2, 6, 2, 10, 10, 1, 2, 6, 1, 6, 1, 2, 2, 10, 6, 2, 1, 1, 10, 6, 6, 6, 4, 2, 2, 6, 2, 10, 2, 1, 1, 6, 10, 10, 10, 2, 10, 2, 6, 1, 10, 1, 1, 10, 6, 6, 6, 10, 6, 1, 1, 2, 2, 1, 1, 6, 2, 6, 6, 10, 10, 6, 2, 10, 10, 1, 10, 2, 10, 2, 1, 10, 10, 10, 2, 10, 1, 6, 10, 10, 6, 6, 1, 6, 10, 2, 10, 2, 6, 0, 10, 6, 6, 4, 6, 6, 10, 6, 0, 10, 6, 1, 1, 6, 10, 2, 6, 1, 6, 1, 2, 6, 6, 10, 6, 6, 5, 1, 1, 6, 10, 2, 6, 1, 4, 2, 1, 1, 10, 2, 6, 6, 6, 2, 10, 1, 10, 1, 1, 10, 1, 6, 6, 2, 5, 2, 1, 1, 1, 10, 1, 6, 1, 1, 9, 10, 2, 1, 6, 1, 10, 9, 1, 2, 1, 2, 10, 2, 6, 6, 2, 1, 2, 6, 2, 10, 10, 1, 6, 1, 1, 0, 10, 10, 1, 2, 1, 1, 1, 6, 1, 10, 0, 6, 1, 1, 1, 6, 2, 6, 1, 10, 1, 2, 6, 2, 1, 1, 1, 1, 1, 2, 10, 1, 1, 10, 10, 4, 1, 9, 6, 2, 1, 2, 6, 1, 6, 2, 1, 2, 1, 6, 2, 6, 2, 10, 10, 10, 6, 2, 10, 6, 1, 10, 10, 2, 6, 10, 10, 2, 10, 10, 10, 10, 2, 1, 10, 10, 2, 6, 1, 10, 10, 1, 1, 1, 1, 10, 6, 6, 2, 6, 1, 2, 6, 1, 2, 6, 10, 10, 10, 6, 10, 6, 10, 2, 10, 1, 2, 6, 1, 6, 9, 2, 1, 2, 6, 1, 10, 2, 1, 6, 1, 6, 1, 1, 2, 2, 2, 2, 2, 2, 1, 10, 6, 6, 2, 2, 1, 10, 2, 6, 10, 1, 4, 2, 2, 2, 6, 10, 6, 2, 10, 2, 1, 5, 1, 10, 1, 10, 2, 10, 6, 4, 9, 10, 10, 2, 2, 2, 1, 1, 6, 10, 2, 10, 2, 5, 10, 10, 6, 1, 2, 2, 1, 0, 1, 2, 2, 10, 6, 10, 1, 10, 2, 10, 10, 6, 1, 6, 10, 6, 6, 6, 10, 1, 10, 10, 6, 6, 10, 10, 6, 2, 1, 1, 2, 2, 2, 1, 1, 6, 2, 10, 10, 1, 2, 6, 2, 2, 1, 1, 6, 1, 2, 2, 1, 1, 1, 1, 10, 6, 6, 6, 6, 10, 10, 1, 1, 6, 10, 1, 10, 10, 1, 1, 1, 2, 1, 10, 6, 6, 10, 10, 2, 10, 10, 2, 1, 10, 10, 2, 10, 10, 2, 2, 1, 10, 1, 1, 6, 1, 6, 10, 1, 40, 6, 6, 2, 1, 10, 6, 1, 6, 10, 6, 10, 6, 2, 2, 10, 1, 2, 1, 2, 6, 1, 2, 10, 6, 2, 2, 10, 1, 6, 10, 10, 10, 2, 2, 1, 6, 6, 1, 1, 2, 5, 2, 1, 1, 9, 6, 6, 1, 10, 1, 4, 2, 2, 1, 1, 2, 6, 10, 10, 2, 2, 6, 6, 6, 2, 10, 6, 2, 6, 10, 2, 6, 2, 1, 6, 2, 6, 4, 1, 1, 10, 6, 1, 1, 10, 10, 10, 10, 6, 1, 6, 1, 10, 6, 10, 6, 10, 2, 2, 2, 1, 6, 6, 10, 10, 1, 6, 6, 1, 6, 2, 1, 10, 10, 2, 6, 10, 1, 1, 6, 1, 1, 1, 6, 6, 6, 6, 6, 10, 6, 1, 2, 10, 1, 2, 1, 1, 6, 2, 6, 10, 6, 10, 10, 6, 1, 2, 6, 4, 1, 6, 10, 1, 10, 2, 10, 10, 1, 10, 1, 5, 1, 2, 6, 10, 10, 10, 6, 6, 6, 6, 6, 10, 1, 10, 6, 2, 1, 2, 6, 6, 2, 2, 2, 2, 2, 10, 6, 2, 1, 10, 2, 1, 2, 10, 1, 1, 10, 10, 2, 40, 10, 6, 2, 0, 5, 1, 2, 6, 2, 6, 10, 6, 10, 10, 6, 2, 10, 2, 1, 1, 6, 1, 1, 1, 2, 1, 10, 1, 10, 1, 1, 1, 2, 2, 6, 6, 1, 1, 6, 2, 10, 10, 2, 6, 10, 9, 10, 1, 2, 10, 6, 10, 1, 6, 1, 1, 6, 2, 10, 1, 6, 10, 2, 9, 10, 1, 2, 2, 1, 6, 6, 2, 10, 2, 1, 10, 10, 9, 10, 2, 10, 6, 6, 6, 10, 10, 8, 2, 2, 10, 6, 10, 6, 6, 10, 6, 2, 10, 10, 10, 2, 10, 2, 2, 6, 6, 2, 1, 6, 2, 10, 4, 1, 6, 1, 2, 6, 2, 6, 2, 6, 1, 2, 6, 6, 6, 1, 10, 2, 10, 2, 4, 2, 2, 2, 6, 1, 6, 10, 2, 6, 6, 1, 9, 6, 10, 6, 1, 6, 1, 2, 1, 10, 10, 6, 6, 1, 1, 2, 10, 6, 10, 5, 1, 1, 10, 4, 1, 1, 10, 1, 6, 2, 10, 6, 10, 2, 6, 2, 6, 10, 4, 1, 2, 1, 0, 6, 6, 6, 4, 1, 10, 10, 1, 5, 2, 6, 10, 9, 10, 6, 1, 2, 6, 2, 6, 1, 1, 10, 1, 2, 1, 6, 1, 1, 6, 6, 2, 2, 10, 6, 10, 2, 10, 6, 1, 9, 1, 2, 10, 1, 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10, 9, 1, 6, 2, 1, 1, 10, 10, 10, 10, 6, 1, 1, 6, 2, 2, 4, 1, 6, 6, 10, 2, 6, 10, 2, 10, 10, 2, 2, 10, 6, 6, 1, 10, 6, 2, 1, 2, 6, 1, 6, 4, 2, 2, 6, 1, 6, 1, 2, 6, 6, 6, 1, 1, 10, 6, 6, 1, 10, 6, 10, 6, 2, 4, 10, 6, 1, 10, 2, 10, 2, 2, 6, 2, 10, 6, 2, 6, 2, 1, 6, 2, 2, 10, 6, 10, 6, 1, 6, 10, 10, 6, 1, 6, 6, 2, 2, 2, 6, 2, 2, 10, 10, 2, 1, 1, 2, 2, 10, 1, 1, 2, 10, 6, 1, 2, 1, 2, 6, 1, 1, 1, 1, 6, 10, 6, 1, 6, 1, 10, 1, 1, 2, 1, 10, 4, 2, 2, 6, 1, 6, 2, 6, 6, 10, 6, 1, 2, 6, 1, 10, 10, 1, 2, 10, 1, 6, 10, 6, 6, 6, 2, 2, 10, 1, 6, 6, 10, 6, 6, 1, 1, 1, 10, 4, 10, 2, 6, 6, 2, 10, 2, 1, 2, 10, 1, 10, 2, 6, 6, 1, 1, 10, 2, 2, 6, 6, 5, 2, 2, 2, 10, 1, 10, 2, 0, 1, 10, 6, 1, 6, 2, 1, 2, 2, 6, 10, 6, 1, 6, 1, 2, 10, 6, 1, 1, 6, 10, 10, 10, 1, 1, 1, 1, 10, 2, 1, 1, 10, 2, 10, 6, 10, 9, 2, 6, 10, 2, 10, 1, 1, 2, 6, 6, 6, 6, 6, 6, 4, 10, 10, 2, 10, 1, 6, 10, 1, 1, 1, 6, 1, 10, 1, 6, 1, 10, 10, 10, 6, 2, 1, 2, 6, 1, 2, 10, 10, 6, 2, 2, 10, 6, 10, 6, 2, 6, 1, 6, 2, 1, 10, 10, 10, 2, 2, 6, 6, 1, 1, 1, 1, 2, 6, 1, 2, 10, 10, 10, 6, 10, 1, 2, 1, 5, 6, 2, 6, 10, 2, 1, 10, 2, 2, 6, 10, 6, 6, 2, 1, 10, 0, 2, 10, 6, 4, 1, 6, 2, 2, 1, 10, 9, 2, 6, 1, 6, 1, 10, 6, 1, 1, 6, 2, 1, 1, 2, 10, 1, 2, 2, 1, 10, 6, 1, 10, 10, 10, 2, 6, 6, 10, 6, 10, 6, 10, 4, 1, 10, 2, 6, 1, 2, 6, 1, 10, 0, 1, 1, 1, 1, 1, 10, 1, 6, 10, 2, 10, 1, 6, 10, 1, 2, 10, 10, 6, 2, 9, 10, 4, 1, 10, 1, 2, 2, 6, 1, 1, 2, 6, 6, 6, 2, 1, 2, 1, 1, 10, 1, 10, 1, 2, 6, 6, 1, 1, 10, 2, 1, 2, 10, 1, 2, 1, 6, 10, 6, 10, 10, 1, 10, 2, 10, 1, 6, 6, 6, 2, 5, 10, 6, 1, 10, 0, 2, 2, 1, 1, 2, 2, 1, 2, 10, 6, 10, 2, 2, 1, 2, 10, 10, 2, 10, 6, 6, 2, 1, 6, 6, 10, 1, 1, 10, 1, 10, 10, 2, 6, 2, 6, 1, 0, 2, 10, 2, 2, 0, 2, 1, 6, 6, 6, 6, 10, 10, 10, 6, 2, 1, 2, 2, 2, 2, 2, 6, 1, 6, 2, 10, 6, 1, 6, 6, 5, 6, 2, 2, 2, 10, 6, 1, 2, 10, 1, 2, 2, 2, 1, 10, 10, 2, 1, 6, 10, 1, 10, 10, 10, 6, 10, 2, 1, 6, 4, 6, 2, 10, 8, 10, 2, 1, 2, 10, 10, 10, 1, 1, 6, 6, 10, 10, 2, 2, 2, 6, 6, 2, 10, 1, 1, 2, 6, 2, 2, 1, 1, 6, 2, 1, 2, 2, 6, 1, 1, 1, 1, 2, 2, 10, 1, 10, 6, 2, 1, 2, 1, 1, 6, 6, 6, 2, 2, 2, 10, 10, 6, 1, 2, 2, 1, 1, 10, 2, 6, 10, 10, 1, 10, 9, 10, 10, 2, 6, 6, 1, 1, 6, 2, 6, 2, 1, 2, 1, 1, 6, 2, 10, 10, 1, 4, 2, 1, 2, 2, 2, 2, 1, 1, 2, 6, 1, 2, 6, 10, 6, 2, 10, 1, 6, 10, 6, 1, 6, 10, 2, 1, 6, 6, 1, 2, 2, 2, 2, 2, 6, 2, 6, 1, 10, 1, 6, 2, 2, 2, 6, 1, 2, 10, 6, 10, 2, 2, 1, 1, 1, 6, 6, 1, 2, 2, 6, 2, 2, 2, 10, 10, 10, 2, 2, 6, 2, 1, 1, 10, 6, 6, 1, 2, 6, 2, 1, 10, 6, 2, 2, 2, 2, 10, 6, 1, 10, 2, 1, 6, 2, 6, 4, 2, 1, 2, 10, 1, 2, 9, 2, 2, 6, 10, 10, 2, 2, 1, 2, 2, 10, 6, 1, 6, 10, 1, 2, 10, 1, 2, 2, 6, 10, 6, 10, 2, 10, 1, 1, 6, 2, 2, 10, 1, 10, 10, 1, 2, 6, 10, 6, 10, 1, 1, 10, 1, 6, 1, 6, 1, 6, 6, 1, 10, 5, 1, 10, 1, 1, 2, 1, 10, 10, 2, 1, 1, 10, 2, 6, 2, 1, 1, 6, 10, 10, 10, 6, 2, 6, 1, 1, 2, 2, 1, 10, 2, 6, 1, 2, 1, 1, 6, 10, 6, 10, 10, 1, 6, 1, 1, 6, 10, 10, 10, 2, 10, 1, 10, 6, 2, 2, 10, 2, 1, 10, 2, 1, 2, 1, 1, 1, 1, 2, 6, 10, 1, 6, 10, 6, 2, 10, 6, 2, 6, 2, 10, 2, 10, 10, 2, 6, 1, 10, 1, 1, 1, 10, 2, 1, 10, 6, 6, 2, 10, 10, 6, 2, 2, 1, 10, 6, 2, 2, 10, 2, 6, 6, 6, 6, 2, 6, 6, 2, 2, 9, 10, 10, 1, 6, 2, 1, 6, 10, 10, 2, 10, 1, 10, 1, 0, 1, 6, 6, 10, 1, 1, 6, 0, 6, 10, 2, 0, 1, 2, 1, 1, 1, 2, 6, 2, 6, 10, 10, 10, 6, 2, 1, 6, 1, 10, 1, 10, 10, 10, 1, 6, 2, 2, 10, 1, 10, 10, 1, 2, 10, 0, 0, 9, 10, 2, 6, 6, 6, 1, 10, 1, 1, 6, 6, 6, 6, 1, 1, 10, 4, 2, 1, 2, 0, 6, 10, 10, 10, 10, 1, 2, 10, 2, 6, 6, 1, 10, 6, 10, 4, 2, 10, 10, 10, 10, 10, 2, 10, 10, 10, 2, 10, 1, 1, 2, 2, 10, 10, 10, 10, 6, 1, 10, 2, 1, 2, 6, 10, 10, 10, 1, 1, 10, 10, 6, 1, 9, 2, 1, 0, 10, 6, 6, 6, 2, 2, 2, 6, 2, 6, 10, 6, 1, 5, 6, 10, 2, 1, 2, 10, 2, 2, 10, 10, 0, 10, 2, 6, 10, 6, 10, 1, 10, 10, 2, 10, 2, 6, 2, 2, 2, 5, 1, 1, 10, 10, 2, 10, 6, 4, 1, 10, 6, 2, 6, 6, 10, 6, 1, 10, 1, 1, 10, 2, 1, 2, 4, 2, 1, 1, 10, 2, 6, 10, 2, 6, 10, 6, 6, 6, 5, 1, 2, 1, 6, 6, 2, 6, 1, 6, 2, 1, 1, 6, 6, 6, 6, 10, 6, 6, 2, 6, 10, 10, 10, 1, 2, 10, 6, 10, 6, 10, 10, 1, 10, 6, 1, 6, 1, 10, 1, 6, 9, 9, 10, 1, 6, 10, 10, 2, 1, 1, 10, 1, 10, 1, 6, 10, 6, 6, 6, 6, 2, 10, 2, 2, 10, 1, 2, 6, 10, 6, 2, 2, 10, 6, 10, 10, 6, 2, 6, 2, 1, 10, 10, 1, 1, 2, 1, 10, 1, 2, 10, 1, 2, 2, 1, 1, 10, 2, 2, 6, 6, 1, 10, 6, 2, 2, 10, 4, 9, 6, 2, 2, 2, 10, 1, 6, 1, 2, 2, 6, 10, 6, 10, 2, 6, 6, 10, 1, 1, 2, 2, 2, 6, 2, 10, 10, 6, 6, 2, 2, 2, 1, 6, 10, 6, 1, 4, 6, 6, 10, 2, 2, 2, 2, 10, 2, 10, 6, 1, 10, 2, 1, 1, 10, 2, 1, 6, 2, 2, 10, 2, 1, 1, 6, 6, 1, 6, 10, 1, 6, 1, 10, 2, 2, 6, 2, 6, 6, 1, 6, 6, 2, 10, 1, 4, 2, 1, 6, 6, 2, 10, 1, 1, 10, 1, 1, 1, 1, 1, 6, 10, 2, 1, 6, 1, 2, 4, 6, 2, 10, 10, 6, 2, 6, 6, 6, 10, 2, 1, 0, 10, 1, 6, 10, 10, 2, 10, 2, 6, 2, 2, 6, 6, 10, 1, 0, 1, 1, 2, 10, 10, 1, 1, 6, 1, 6, 10, 2, 6, 2, 6, 2, 1, 10, 6, 6, 10, 6, 4, 10, 10, 2, 1, 6, 2, 2, 6, 6, 10, 6, 10, 1, 6, 2, 10, 2, 2, 6, 2, 9, 6, 1, 6, 9, 10, 2, 1, 10, 6, 10, 10, 6, 2, 1, 6, 6, 2, 10, 2, 10, 10, 2, 2, 6, 1, 1, 10, 2, 10, 6, 6, 40, 6, 2, 6, 10, 2, 1, 10, 1, 6, 1, 10, 10, 10, 1, 1, 10, 10, 6, 6, 2, 6, 1, 2, 10, 10, 1, 10, 6, 2, 1, 6, 10, 10, 2, 2, 6, 1, 1, 2, 2, 10, 2, 2, 6, 1, 4, 2, 1, 10, 6, 1, 6, 6, 1, 1, 10, 1, 10, 10, 2, 6, 6, 1, 2, 2, 1, 1, 2, 2, 2, 6, 2, 2, 2, 6, 6, 2, 6, 6, 2, 1, 2, 10, 1, 10, 6, 10, 2, 1, 10, 6, 1, 6, 2, 6, 1, 2, 1, 2, 2, 2, 10, 6, 6, 2, 2, 6, 6, 10, 1, 6, 1, 2, 10, 6, 6, 2, 1, 10, 6, 1, 6, 10, 6, 2, 10, 6, 1, 6, 10, 1, 1, 6, 6, 2, 6, 10, 2, 1, 10, 2, 1, 1, 6, 6, 6, 1, 6, 10, 6, 2, 10, 2, 6, 6, 50, 2, 2, 1, 2, 10, 1, 2, 10, 2, 2, 2, 6, 10, 2, 10, 6, 10, 10, 2, 2, 1, 6, 1, 10, 6, 4, 1, 10, 2, 2, 10, 2, 2, 10, 2, 10, 6, 10, 10, 1, 2, 10, 1, 2, 1, 2, 6, 6, 6, 1, 6, 2, 6, 6, 2, 10, 6, 1, 1, 1, 6, 2, 10, 2, 10, 10, 6, 10, 6, 10, 10, 1, 1, 1, 2, 1, 2, 6, 1, 10, 2, 2, 2, 6, 10, 1, 1, 2, 2, 6, 1, 2, 6, 6, 1, 2, 1, 1, 2, 10, 1, 1, 6, 2, 2, 2, 10, 6, 6, 10, 2, 6, 6, 1, 6, 1, 10, 10, 6, 1, 2, 6, 2, 2, 2, 10, 2, 6, 2, 10, 1, 6, 2, 6, 10, 1, 2, 6, 1, 10, 10, 1, 1, 1, 6, 10, 1, 10, 10, 10, 10, 1, 1, 10, 1, 1, 2, 2, 0, 6, 1, 6, 10, 6, 6, 2, 6, 10, 1, 10, 1, 6, 1, 10, 10, 10, 2, 1, 10, 10, 2, 10, 10, 6, 1, 1, 5, 6, 6, 1, 1, 2, 10, 1, 2, 2, 10, 10, 10, 10, 10, 2, 5, 6, 6, 2, 10, 6, 10, 6, 10, 1, 1, 1, 10, 4, 2, 2, 4, 10, 2, 2, 10, 2, 1, 6, 2, 10, 2, 6, 2, 10, 6, 2, 1, 10, 1, 6, 10, 6, 10, 10, 2, 1, 10, 6, 2, 2, 2, 6, 10, 2, 10, 10, 6, 2, 2, 2, 6, 1, 10, 6, 10, 10, 10, 1, 1, 10, 6, 6, 6, 7, 10, 10, 6, 10, 2, 1, 2, 10, 10, 6, 2, 2, 6, 6, 1, 10, 10, 6, 10, 2, 1, 1, 10, 1, 6, 2, 1, 6, 1, 2, 2, 6, 2, 6, 2, 6, 1, 1, 10, 2, 6, 1, 1, 10, 2, 1, 10, 1, 6, 10, 6, 6, 6, 2, 2, 10, 6, 2, 6, 0, 10, 2, 1, 6, 10, 1, 2, 2, 2, 2, 10, 10, 1, 6, 6, 1, 6, 10, 10, 10, 6, 6, 10, 2, 1, 6, 2, 1, 10, 1, 1, 6, 10, 1, 1, 1, 6, 1, 6, 2, 2, 6, 1, 2, 10, 2, 2, 6, 1, 2, 1, 6, 1, 10, 6, 1, 1, 2, 10, 6, 1, 2, 1, 10, 6, 2, 10, 6, 6, 1, 10, 10, 2, 10, 1, 6, 10, 10, 6, 10, 1, 10, 1, 1, 2, 10, 2, 1, 10, 2, 6, 10, 2, 10, 6, 2, 2, 1, 1, 10, 10, 1, 6, 6, 1, 6, 2, 10, 6, 2, 10, 9, 2, 10, 4, 2, 6, 1, 6, 1, 10, 10, 6, 10, 10, 2, 1, 4, 10, 1, 10, 10, 5, 2, 2, 1, 10, 6, 2, 4, 0, 6, 2, 6, 1, 6, 10, 2, 6, 6, 2, 10, 1, 2, 6, 6, 6, 10, 6, 1, 6, 6, 10, 6, 10, 10, 1, 6, 10, 6, 10, 2, 10, 6, 10, 2, 2, 2, 1, 6, 10, 2, 2, 10, 6, 2, 1, 2, 1, 10, 10, 4, 6, 1, 1, 6, 6, 10, 6, 2, 2, 1, 1, 1, 2, 6, 1, 1, 1, 1, 2, 6, 1, 10, 2, 10, 2, 1, 6, 10, 10, 1, 10, 1, 10, 1, 2, 6, 6, 4, 1, 6, 2, 2, 6, 1, 2, 6, 10, 1, 1, 6, 6, 10, 1, 2, 2, 2, 1, 2, 1, 10, 1, 2, 2, 1, 10, 6, 10, 6, 10, 1, 6, 1, 2, 10, 10, 6, 10, 6, 10, 1, 10, 5, 5, 10, 0, 10, 10, 1, 6, 6, 10, 10, 6, 1, 2, 2, 6, 1, 10, 1, 2, 1, 1, 2, 1, 1, 6, 6, 2, 10, 6, 6, 2, 2, 1, 10, 1, 1, 6, 1, 6, 10, 10, 6, 1, 6, 2, 1, 6, 0, 2, 2, 2, 9, 4, 1, 1, 10, 10, 2, 2, 1, 10, 6, 6, 1, 6, 2, 10, 1, 2, 6, 10, 6, 1, 1, 1, 1, 10, 10, 2, 6, 1, 1, 6, 6, 1, 10, 10, 10, 2, 6, 1, 5, 10, 6, 1, 1, 2, 1, 10, 6, 6, 10, 1, 2, 10, 1, 6, 1, 6, 6, 2, 6, 6, 10, 2, 6, 1, 10, 1, 6, 6, 1, 1, 1, 6, 1, 6, 10, 6, 9, 1, 6, 4, 2, 6, 10, 0, 10, 2, 6, 5, 6, 1, 10, 2, 2, 10, 2, 1, 9, 1, 6, 6, 2, 6, 10, 1, 10, 1, 1, 2, 0, 6, 2, 2, 9, 10, 10, 1, 1, 6, 6, 10, 1, 0, 1, 10, 6, 1, 2, 2, 6, 6, 2, 10, 10, 5, 10, 6, 6, 6, 2, 1, 10, 6, 2, 1, 1, 10, 6, 1, 1, 6, 1, 2, 2, 2, 10, 10, 10, 2, 10, 10, 1, 10, 2, 2, 6, 1, 6, 6, 1, 2, 10, 2, 1, 1, 6, 6, 10, 1, 10, 10, 2, 2, 2, 10, 10, 2, 1, 2, 10, 2, 1, 2, 6, 10, 10, 1, 2, 6, 1, 2, 6, 1, 2, 6, 10, 10, 2, 2, 2, 6, 2, 6, 5, 10, 2, 6, 1, 6, 2, 6, 10, 1, 2, 2, 10, 10, 2, 2, 10, 10, 1, 10, 6, 2, 2, 1, 2, 2, 2, 9, 10, 6, 6, 2, 2, 10, 1, 10, 10, 1, 10, 2, 10, 10, 10, 1, 10, 10, 10, 2, 6, 6, 2, 2, 2, 10, 2, 6, 10, 2, 6, 2, 6, 10, 2, 2, 1, 2, 1, 2, 10, 6, 6, 10, 2, 6, 6, 6, 5, 6, 10, 10, 2, 2, 2, 10, 2, 2, 10, 6, 1, 1, 2, 6, 6, 10, 10, 10, 1, 2, 10, 2, 2, 10, 2, 2, 2, 10, 6, 1, 2, 1, 6, 2, 2, 6, 1, 1, 6, 2, 10, 1, 6, 1, 6, 1, 2, 2, 6, 2, 1, 2, 6, 2, 10, 1, 10, 6, 6, 6, 10, 2, 6, 6, 6, 1, 10, 2, 10, 2, 10, 10, 10, 2, 2, 2, 6, 2, 6, 2, 2, 1, 2, 2, 1, 10, 1, 6, 1, 10, 10, 10, 10, 2, 2, 2, 1, 10, 10, 6, 6, 10, 2, 9, 6, 10, 10, 6, 1, 6, 1, 1, 10, 10, 6, 10, 6, 1, 2, 2, 1, 2, 6, 6, 2, 1, 6, 2, 6, 1, 6, 10, 1, 1, 9, 2, 1, 2, 10, 10, 2, 6, 1, 10, 6, 9, 10, 1, 1, 1, 6, 2, 1, 2, 6, 6, 6, 6, 5, 10, 10, 2, 1, 6, 2, 0, 2, 10, 10, 1, 1, 2, 6, 2, 10, 10, 10, 6, 2, 10, 1, 6, 1, 2, 1, 1, 2, 9, 10, 6, 5, 2, 6, 6, 6, 1, 10, 6, 6, 2, 10, 6, 2, 10, 2, 4, 10, 1, 6, 2, 2, 2, 6, 10, 2, 2, 5, 10, 6, 2, 1, 10, 10, 0, 2, 1, 2, 2, 10, 6, 10, 1, 6, 2, 4, 2, 10, 6, 2, 1, 10, 6, 10, 1, 2, 6, 10, 10, 10, 10, 6, 10, 2, 2, 2, 10, 2, 6, 10, 10, 10, 10, 1, 10, 6, 1, 10, 10, 1, 6, 10, 1, 6, 2, 1, 10, 2, 6, 10, 2, 2, 10, 2, 4, 6, 6, 1, 1, 10, 2, 1, 6, 1, 6, 1, 6, 10, 2, 1, 2, 1, 6, 6, 6, 6, 1, 2, 0, 6, 4, 1, 2, 6, 10, 2, 6, 6, 10, 10, 6, 1, 1, 2, 1, 1, 10, 0, 2, 10, 6, 0, 6, 6, 2, 1, 1, 2, 10, 6, 1, 6, 10, 10, 10, 10, 2, 1, 6, 2, 2, 1, 2, 2, 10, 2, 6, 2, 2, 10, 1, 6, 2, 2, 6, 2, 6, 10, 1, 10, 1, 2, 6, 2, 2, 6, 6, 1, 10, 10, 6, 2, 6, 6, 6, 2, 2, 6, 2, 6, 4, 10, 2, 2, 10, 6, 10, 2, 6, 1, 2, 10, 1, 1, 2, 6, 1, 6, 6, 6, 2, 10, 1, 2, 2, 1, 1, 6, 2, 1, 2, 2, 2, 10, 2, 1, 6, 1, 6, 2, 10, 1, 2, 2, 6, 2, 2, 1, 2, 1, 10, 2, 2, 10, 2, 2, 6, 6, 10, 6, 2, 2, 10, 10, 10, 10, 1, 6, 1, 10, 10, 1, 6, 6, 2, 10, 6, 6, 10, 2, 6, 10, 1, 10, 1, 6, 10, 6, 10, 2, 10, 2, 2, 10, 1, 2, 10, 1, 1, 2, 6, 1, 1, 1, 6, 10, 1, 10, 1, 6, 10, 10, 1, 6, 10, 2, 1, 2, 10, 1, 2, 1, 6, 1, 6, 1, 2, 1, 1, 6, 1, 10, 1, 1, 6, 1, 10, 1, 6, 6, 2, 2, 10, 10, 6, 1, 1, 10, 1, 10, 6, 6, 1, 6, 2, 6, 6, 4, 1, 10, 1, 10, 10, 1, 1, 6, 2, 10, 2, 6, 1, 1, 6, 2, 6, 10, 10, 2, 6, 1, 5, 2, 10, 2, 10, 9, 1, 2, 10, 6, 1, 6, 2, 2, 10, 2, 2, 6, 2, 2, 1, 1, 6, 10, 6, 2, 4, 2, 10, 10, 2, 0, 1, 6, 2, 6, 2, 1, 2, 2, 1, 2, 2, 6, 10, 10, 6, 1, 6, 1, 1, 1, 6, 4, 1, 10, 6, 6, 10, 1, 10, 10, 1, 2, 10, 6, 10, 2, 2, 6, 10, 6, 2, 6, 1, 2, 1, 10, 6, 2, 6, 2, 6, 1, 10, 1, 10, 2, 10, 6, 10, 10, 2, 6, 1, 1, 10, 10, 6, 10, 6, 1, 10, 10, 6, 1, 1, 1, 6, 6, 1, 10, 6, 2, 1, 6, 6, 2, 2, 6, 2, 10, 2, 10, 1, 10, 6, 1, 6, 2, 10, 2, 10, 10, 10, 1, 10, 10, 10, 6, 2, 1, 2, 6, 4, 6, 1, 2, 6, 6, 6, 6, 1, 2, 1, 10, 2, 1, 6, 6, 10, 9, 0, 1, 10, 2, 10, 6, 2, 10, 2, 10, 2, 6, 2, 2, 10, 6, 2, 6, 10, 2, 10, 2, 2, 10, 10, 1, 10, 10, 2, 2, 2, 9, 6, 1, 6, 1, 10, 1, 10, 2, 10, 9, 6, 6, 1, 1, 1, 2, 1, 6, 5, 10, 2, 1, 10, 6, 2, 2, 1, 10, 2, 10, 10, 2, 0, 10, 6, 6, 2, 2, 1, 10, 2, 6, 2, 1, 2, 9, 2, 2, 2, 10, 10, 1, 10, 2, 1, 6, 2, 2, 1, 6, 6, 6, 1, 6, 10, 10, 2, 1, 1, 6, 10, 2, 10, 2, 10, 2, 1, 6, 2, 6, 1, 10, 2, 10, 5, 1, 2, 2, 5, 6, 2, 2, 6, 2, 1, 6, 6, 1, 2, 0, 4, 2, 2, 2, 10, 6, 10, 2, 6, 1, 6, 1, 2, 2, 1, 10, 1, 1, 6, 6, 1, 9, 1, 2, 6, 2, 2, 10, 10, 1, 2, 10, 6, 6, 1, 10, 6, 6, 2, 1, 1, 10, 1, 1, 1, 10, 1, 2, 10, 10, 10, 6, 10, 6, 1, 2, 2, 6, 10, 6, 6, 6, 6, 1, 0, 10, 6, 1, 6, 1, 1, 10, 1, 10, 10, 6, 6, 2, 10, 6, 1, 1, 1, 10, 6, 6, 2, 2, 1, 2, 10, 2, 6, 10, 2, 6, 2, 2, 1, 1, 1, 6, 6, 6, 1, 6, 6, 6, 6, 2, 2, 1, 6, 10, 2, 10, 6, 5, 6, 1, 2, 1, 10, 2, 6, 2, 10, 2, 1, 6, 4, 2, 10, 10, 6, 1, 1, 9, 1, 10, 6, 6, 6, 9, 2, 2, 10, 2, 1, 1, 10, 10, 10, 10, 10, 1, 10, 10, 2, 2, 1, 10, 10, 6, 6, 10, 2, 0, 6, 10, 6, 1, 1, 2, 1, 1, 6, 10, 2, 1, 2, 1, 2, 6, 1, 2, 2, 2, 6, 1, 10, 6, 2, 2, 2, 1, 1, 5, 6, 6, 2, 6, 2, 10, 2, 6, 1, 10, 2, 10, 6, 10, 6, 6, 6, 10, 10, 1, 1, 1, 1, 10, 2, 10, 1, 2, 10, 1, 10, 10, 6, 1, 1, 10, 6, 6, 1, 1, 2, 10, 6, 2, 2, 2, 6, 10, 10, 2, 2, 6, 2, 10, 10, 2, 2, 2, 2, 6, 2, 10, 1, 2, 2, 2, 1, 1, 10, 1, 1, 6, 2, 6, 6, 1, 2, 10, 1, 1, 1, 6, 1, 6, 2, 10, 10, 10, 6, 6, 10, 6, 10, 1, 10, 1, 2, 10, 2, 6, 2, 5, 1, 1, 6, 6, 2, 6, 10, 2, 10, 2, 6, 1, 10, 6, 1, 10, 6, 6, 6, 6, 6, 10, 6, 10, 1, 10, 2, 2, 1, 1, 10, 6, 6, 2, 1, 7, 2, 1, 6, 6, 0, 8, 6, 1, 1, 6, 6, 6, 2, 2, 2, 10, 10, 2, 1, 10, 2, 10, 10, 1, 2, 1, 1, 10, 0, 1, 6, 1, 6, 10, 1, 1, 10, 6, 1, 4, 1, 1, 10, 10, 2, 6, 2, 6, 2, 2, 2, 10, 10, 6, 6, 10, 1, 0, 2, 2, 1, 6, 1, 10, 10, 1, 1, 9, 6, 2, 6, 10, 5, 10, 10, 6, 6, 10, 1, 6, 6, 1, 10, 1, 10, 2, 1, 50, 6, 10, 10, 6, 2, 10, 6, 10, 10, 1, 1, 10, 1, 2, 6, 6, 6, 0, 6, 6, 6, 1, 2, 10, 10, 10, 10, 6, 10, 1, 2, 9, 5, 1, 1, 2, 6, 6, 2, 6, 10, 1, 2, 10, 2, 2, 4, 5, 1, 10, 0, 1, 1, 1, 2, 2, 1, 1, 10, 1, 10, 1, 1, 10, 2, 1, 2, 2, 10, 6, 10, 10, 2, 1, 1, 1, 0, 10, 2, 1, 10, 10, 1, 10, 10, 4, 10, 2, 6, 1, 1, 2, 10, 10, 1, 6, 2, 2, 1, 10, 10, 1, 9, 2, 6, 1, 6, 6, 6, 2, 2, 2, 2, 10, 10, 2, 6, 6, 2, 6, 6, 10, 2, 10, 10, 1, 1, 2, 10, 2, 2, 6, 1, 9, 10, 6, 10, 10, 10, 2, 1, 6, 2, 10, 1, 2, 4, 2, 10, 10, 6, 10, 1, 10, 1, 2, 1, 10, 10, 6, 1, 10, 1, 1, 1, 2, 1, 10, 10, 6, 10, 10, 1, 6, 1, 10, 2, 10, 10, 10, 10, 10, 1, 2, 10, 2, 2, 10, 2, 2, 1, 2, 10, 6, 10, 10, 10, 10, 1, 1, 6, 6, 1, 2, 6, 6, 10, 10, 6, 6, 6, 1, 10, 10, 1, 1, 10, 1, 2, 10, 10, 1, 6, 6, 2, 10, 6, 4, 6, 10, 6, 10, 6, 10, 2, 1, 6, 6, 6, 10, 10, 10, 6, 6, 10, 6, 10, 10, 10, 10, 1, 2, 10, 10, 2, 6, 2, 10, 10, 1, 2, 1, 2, 1, 6, 6, 2, 2, 6, 10, 6, 10, 2, 2, 1, 1, 1, 1, 1, 2, 1, 6, 6, 10, 6, 2, 10, 0, 10, 2, 1, 2, 1, 2, 6, 2, 10, 2, 10, 6, 10, 10, 6, 6, 1, 6, 10, 10, 10, 1, 2, 10, 1, 1, 2, 10, 1, 10, 10, 1, 5, 5, 6, 6, 2, 1, 1, 10, 2, 2, 10, 6, 2, 9, 10, 6, 6, 1, 1, 2, 1, 4, 6, 10, 10, 2, 6, 1, 2, 6, 10, 6, 1, 6, 10, 1, 10, 1, 2, 10, 2, 1, 1, 10, 10, 10, 1, 2, 2, 1, 6, 6, 9, 10, 2, 1, 2, 6, 1, 6, 10, 10, 10, 6, 6, 2, 6, 6, 1, 6, 6, 10, 2, 6, 2, 6, 6, 2, 10, 2, 10, 2, 6, 1, 2, 10, 10, 1, 6, 6, 10, 2, 1, 6, 6, 1, 6, 10, 2, 10, 2, 1, 6, 10, 4, 2, 6, 2, 6, 6, 2, 5, 6, 10, 2, 2, 6, 2, 6, 1, 10, 2, 1, 1, 10, 10, 1, 2, 2, 2, 6, 2, 6, 1, 2, 2, 10, 6, 1, 1, 1, 10, 2, 6, 2, 1, 5, 10, 10, 6, 6, 1, 10, 1, 2, 1, 6, 6, 2, 10, 6, 2, 6, 1, 2, 2, 2, 1, 6, 2, 2, 10, 1, 10, 10, 10, 1, 6, 10, 6, 6, 2, 5, 6, 2, 1, 10, 6, 2, 2, 6, 1, 10, 1, 2, 2, 1, 2, 6, 6, 6, 2, 1, 10, 1, 1, 6, 6, 1, 2, 1, 2, 1, 10, 1, 1, 1, 1, 2, 1, 6, 2, 10, 6, 4, 1, 10, 6, 2, 6, 6, 10, 2, 1, 6, 6, 10, 10, 2, 2, 10, 10, 6, 4, 1, 1, 2, 10, 4, 10, 6, 6, 10, 6, 10, 10, 10, 6, 1, 6, 2, 1, 6, 2, 1, 6, 6, 1, 1, 10, 2, 10, 1, 1, 10, 6, 6, 1, 4, 2, 1, 2, 6, 1, 1, 10, 10, 10, 10, 4, 1, 1, 2, 2, 10, 6, 10, 2, 6, 10, 10, 1, 2, 6, 10, 1, 1, 1, 2, 2, 6, 2, 0, 10, 10, 10, 10, 2, 1, 10, 10, 2, 1, 10, 6, 10, 10, 2, 1, 2, 1, 10, 1, 9, 6, 1, 6, 10, 6, 10, 6, 6, 10, 10, 1, 10, 1, 1, 2, 2, 10, 2, 10, 10, 1, 6, 6, 1, 6, 1, 10, 10, 1, 1, 10, 1, 6, 2, 6, 6, 6, 10, 1, 10, 2, 2, 10, 10, 1, 10, 1, 4, 2, 1, 10, 6, 1, 6, 6, 1, 2, 2, 10, 1, 2, 1, 6, 10, 10, 10, 6, 6, 2, 6, 10, 2, 1, 1, 2, 6, 2, 1, 6, 10, 2, 6, 6, 10, 10, 2, 10, 1, 6, 2, 1, 1, 1, 10, 6, 6, 2, 2, 10, 1, 10, 10, 10, 10, 1, 10, 6, 1, 1, 1, 1, 2, 2, 10, 1, 10, 2, 1, 1, 1, 6, 1, 6, 6, 10, 6, 10, 10, 2, 1, 10, 1, 1, 6, 1, 10, 10, 1, 1, 6, 10, 6, 6, 1, 1, 2, 2, 2, 6, 1, 10, 1, 1, 10, 6, 6, 2, 1, 2, 10, 1, 2, 2, 6, 10, 10, 1, 2, 1, 2, 10, 2, 10, 2, 2, 10, 1, 10, 6, 6, 6, 10, 10, 1, 2, 10, 1, 10, 10, 10, 6, 2, 10, 1, 10, 1, 2, 10, 10, 1, 10, 1, 2, 10, 6, 6, 6, 6, 6, 4, 1, 10, 10, 1, 6, 6, 2, 10, 10, 2, 2, 2, 6, 10, 2, 2, 1, 10, 1, 0, 10, 1, 1, 2, 2, 2, 6, 10, 1, 2, 2, 1, 1, 2, 2, 6, 6, 2, 6, 2, 6, 6, 2, 1, 10, 2, 2, 10, 10, 10, 10, 10, 6, 1, 2, 10, 2, 2, 6, 10, 10, 6, 1, 2, 2, 10, 6, 1, 6, 6, 6, 6, 2, 2, 2, 1, 6, 1, 2, 1, 1, 2, 10, 2, 0, 10, 6, 1, 6, 1, 1, 1, 6, 10, 1, 10, 2, 2, 10, 10, 2, 2, 1, 6, 10, 6, 6, 1, 1, 2, 1, 2, 6, 2, 10, 6, 10, 1, 10, 1, 6, 10, 10, 6, 1, 1, 10, 5, 10, 6, 1, 1, 6, 6, 5, 2, 2, 2, 10, 1, 10, 10, 10, 2, 10, 6, 1, 2, 6, 10, 10, 1, 6, 2, 10, 6, 6, 10, 10, 1, 6, 10, 1, 10, 6, 1, 1, 6, 6, 10, 2, 1, 2, 6, 6, 2, 10, 2, 2, 0, 10, 2, 2, 2, 2, 10, 50, 1, 6, 10, 10, 6, 2, 2, 6, 1, 10, 6, 1, 6, 1, 1, 10, 6, 10, 10, 10, 10, 2, 10, 6, 10, 2, 2, 6, 6, 1, 6, 2, 10, 2, 1, 6, 2, 10, 10, 6, 10, 2, 5, 1, 6, 6, 1, 10, 2, 1, 2, 1, 6, 2, 10, 1, 10, 1, 1, 1, 10, 6, 2, 2, 6, 2, 6, 2, 1, 5, 1, 6, 6, 1, 0, 1, 1, 10, 10, 2, 1, 2, 2, 1, 10, 5, 10, 7, 1, 2, 2, 1, 2, 4, 1, 6, 6, 1, 2, 6, 10, 10, 10, 1, 1, 1, 1, 2, 10, 6, 6, 10, 10, 10, 10, 1, 6, 10, 1, 6, 2, 1, 10, 10, 1, 6, 1, 10, 1, 1, 10, 1, 6, 6, 1, 2, 10, 1, 10, 10, 10, 2, 2, 1, 10, 6, 2, 2, 6, 2, 10, 10, 2, 1, 6, 10, 1, 10, 2, 1, 1, 10, 10, 2, 2, 10, 2, 1, 10, 10, 10, 10, 1, 2, 6, 6, 2, 1, 6, 1, 2, 2, 6, 6, 2, 6, 1, 2, 1, 6, 1, 1, 2, 10, 10, 2, 6, 2, 10, 1, 6, 4, 6, 10, 6, 6, 2, 10, 10, 10, 6, 10, 10, 2, 6, 10, 6, 10, 10, 10, 1, 1, 10, 1, 10, 1, 2, 2, 6, 10, 2, 6, 1, 2, 6, 6, 2, 1, 10, 1, 4, 2, 1, 10, 2, 6, 10, 6, 6, 10, 1, 1, 1, 1, 6, 2, 6, 6, 9, 1, 2, 10, 10, 1, 6, 2, 10, 10, 6, 1, 2, 2, 2, 10, 1, 2, 10, 2, 2, 1, 6, 10, 6, 10, 2, 6, 2, 1, 1, 2, 10, 10, 5, 10, 1, 10, 1, 6, 10, 6, 10, 6, 6, 1, 6, 2, 6, 2, 10, 10, 6, 1, 10, 2, 6, 2, 6, 2, 1, 2, 6, 6, 1, 2, 10, 10, 10, 6, 1, 6, 2, 6, 6, 6, 6, 10, 2, 6, 1, 2, 2, 6, 1, 2, 6, 10, 6, 10, 10, 6, 6, 2, 10, 1, 10, 4, 2, 6, 1, 1, 2, 6, 6, 1, 9, 6, 2, 9, 1, 2, 1, 6, 2, 2, 1, 1, 2, 1, 10, 1, 10, 2, 1, 1, 10, 2, 6, 6, 6, 6, 1, 6, 10, 2, 1, 1, 1, 5, 1, 6, 6, 10, 1, 10, 1, 6, 1, 1, 2, 10, 2, 6, 2, 6, 6, 10, 2, 6, 2, 1, 1, 6, 10, 1, 6, 10, 2, 2, 2, 6, 1, 1, 10, 2, 6, 6, 2, 10, 2, 1, 1, 6, 6, 9, 1, 10, 6, 5, 6, 2, 10, 6, 6, 2, 10, 1, 2, 1, 6, 10, 1, 6, 10, 10, 2, 10, 6, 10, 10, 2, 10, 1, 2, 10, 1, 1, 6, 4, 1, 6, 6, 10, 10, 6, 10, 6, 6, 1, 2, 1, 6, 2, 2, 1, 1, 1, 1, 1, 6, 10, 1, 1, 6, 1, 1, 10, 6, 10, 6, 2, 6, 6, 10, 5, 10, 2, 2, 6, 1, 1, 2, 5, 10, 2, 2, 6, 10, 6, 5, 10, 6, 6, 10, 1, 6, 2, 1, 6, 2, 6, 2, 6, 6, 2, 6, 10, 1, 6, 9, 10, 2, 2, 2, 1, 10, 2, 1, 2, 2, 6, 2, 1, 1, 2, 1, 10, 2, 6, 10, 2, 1, 6, 2, 6, 5, 1, 1, 10, 0, 6, 6, 6, 1, 10, 6, 6, 6, 6, 6, 6, 2, 10, 6, 0, 6, 10, 6, 2, 2, 6, 6, 6, 2, 6, 2, 2, 1, 10, 2, 6, 6, 2, 1, 6, 1, 6, 1, 2, 6, 1, 4, 2, 2, 10, 6, 6, 2, 1, 1, 1, 6, 10, 10, 1, 1, 6, 6, 6, 10, 9, 6, 6, 6, 6, 1, 6, 2, 6, 10, 10, 6, 10, 6, 2, 10, 10, 2, 10, 1, 2, 1, 10, 10, 10, 1, 6, 2, 6, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 5, 2, 1, 10, 6, 1, 1, 6, 6, 6, 10, 6, 2, 10, 2, 10, 10, 1, 2, 1, 2, 10, 6, 1, 2, 1, 2, 6, 2, 2, 1, 2, 1, 1, 10, 6, 1, 2, 10, 10, 2, 2, 6, 1, 10, 6, 1, 1, 2, 6, 1, 4, 6, 10, 10, 2, 1, 2, 6, 10, 10, 1, 2, 2, 1, 0, 6, 2, 1, 1, 10, 6, 10, 10, 6, 2, 6, 6, 2, 10, 10, 1, 10, 2, 10, 2, 1, 1, 10, 1, 1, 10, 1, 2, 6, 1, 2, 10, 0, 6, 1, 10, 6, 10, 6, 1, 2, 1, 1, 6, 6, 2, 1, 6, 10, 4, 6, 2, 6, 9, 10, 2, 10, 9, 1, 1, 10, 6, 5, 2, 10, 2, 10, 2, 1, 6, 1, 10, 6, 10, 10, 2, 10, 10, 10, 10, 2, 2, 6, 6, 2, 6, 6, 60, 10, 2, 10, 2, 10, 2, 10, 6, 2, 6, 1, 2, 2, 10, 2, 6, 6, 6, 2, 10, 1, 9, 1, 6, 6, 1, 6, 6, 2, 2, 1, 10, 1, 1, 2, 2, 1, 10, 1, 10, 6, 1, 2, 2, 6, 6, 10, 2, 10, 6, 10, 2, 6, 10, 2, 2, 2, 6, 2, 10, 6, 6, 6, 10, 2, 2, 5, 10, 10, 1, 1, 6, 10, 10, 1, 10, 1, 6, 6, 1, 1, 6, 10, 1, 10, 6, 1, 1, 2, 10, 1, 2, 6, 1, 1, 2, 6, 2, 10, 6, 2, 6, 1, 1, 1, 10, 6, 6, 10, 2, 6, 2, 2, 10, 10, 2, 6, 6, 6, 6, 1, 6, 6, 2, 2, 4, 10, 2, 1, 1, 6, 1, 2, 6, 2, 2, 6, 1, 2, 1, 6, 10, 2, 6, 2, 10, 10, 1, 10, 6, 2, 9, 2, 6, 1, 6, 1, 2, 2, 2, 1, 2, 2, 10, 1, 1, 10, 2, 6, 1, 2, 2, 2, 2, 2, 10, 2, 2, 10, 2, 10, 10, 6, 10, 10, 6, 1, 2, 1, 1, 2, 6, 6, 2, 1, 2, 10, 1, 10, 1, 6, 1, 2, 10, 2, 1, 6, 6, 1, 10, 1, 6, 1, 2, 6, 2, 10, 1, 2, 2, 6, 1, 1, 1, 10, 1, 2, 2, 6, 2, 10, 6, 6, 10, 2, 10, 6, 6, 10, 10, 2, 1, 1, 6, 10, 10, 1, 1, 2, 1, 10, 6, 1, 6, 2, 2, 2, 6, 2, 6, 1, 1, 10, 10, 1, 10, 2, 1, 1, 6, 4, 2, 2, 10, 6, 1, 2, 2, 1, 6, 10, 2, 10, 6, 1, 6, 10, 6, 2, 6, 6, 2, 2, 2, 1, 10, 6, 6, 1, 0, 2, 6, 2, 6, 1, 1, 2, 6, 1, 10, 2, 10, 2, 10, 6, 6, 10, 2, 2, 2, 2, 10, 10, 10, 6, 1, 6, 10, 5, 1, 2, 6, 6, 10, 1, 1, 1, 6, 10, 1, 2, 1, 10, 6, 2, 2, 6, 6, 10, 10, 1, 2, 2, 1, 6, 2, 2, 6, 1, 1, 2, 2, 2, 2, 2, 1, 6, 6, 10, 1, 2, 6, 1, 1, 6, 6, 10, 6, 1, 10, 10, 10, 2, 2, 1, 10, 1, 1, 1, 1, 1, 1, 1, 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10, 10, 6, 6, 2, 1, 2, 1, 1, 2, 10, 6, 1, 6, 1, 2, 2, 2, 2, 2, 2, 2, 10, 6, 2, 6, 0, 10, 10, 10, 1, 1, 6, 2, 6, 6, 2, 10, 2, 6, 6, 1, 1, 1, 6, 2, 10, 6, 1, 10, 6, 1, 10, 0, 2, 6, 10, 2, 1, 2, 1, 1, 2, 1, 10, 6, 10, 10, 10, 6, 10, 10, 1, 10, 2, 6, 1, 10, 10, 1, 2, 10, 2, 10, 6, 10, 1, 2, 2, 2, 10, 1, 2, 1, 2, 4, 1, 2, 1, 10, 10, 6, 6, 6, 1, 10, 1, 6, 10, 2, 10, 2, 1, 10, 1, 2, 6, 6, 6, 1, 2, 10, 1, 1, 10, 2, 2, 2, 10, 10, 1, 2, 2, 1, 2, 10, 10, 6, 10, 10, 10, 6, 2, 10, 2, 1, 2, 10, 1, 1, 2, 6, 10, 10, 5, 1, 2, 1, 1, 2, 1, 6, 10, 1, 1, 6, 10, 4, 10, 1, 6, 4, 1, 10, 1, 2, 10, 10, 1, 6, 2, 6, 6, 1, 1, 10, 2, 10, 1, 1, 2, 10, 6, 5, 6, 2, 1, 2, 10, 1, 10, 2, 2, 2, 6, 1, 1, 1, 10, 6, 2, 2, 1, 2, 10, 10, 2, 6, 10, 2, 2, 10, 6, 6, 1, 2, 10, 10, 10, 10, 1, 6, 1, 2, 10, 10, 2, 10, 2, 6, 6, 1, 6, 2, 1, 6, 6, 6, 2, 6, 2, 10, 2, 2, 6, 6, 2, 1, 6, 10, 1, 2, 2, 2, 6, 6, 10, 6, 2, 6, 6, 6, 10, 10, 2, 6, 6, 6, 10, 6, 2, 10, 10, 2, 2, 1, 6, 10, 5, 6, 6, 4, 6, 10, 2, 10, 6, 10, 1, 6, 2, 6, 2, 6, 6, 2, 2, 2, 7, 1, 2, 2, 10, 6, 10, 10, 10, 1, 1, 1, 1, 1, 6, 6, 1, 10, 1, 6, 1, 6, 6, 6, 6, 2, 6, 10, 2, 6, 6, 2, 10, 6, 6, 9, 10, 6, 10, 10, 10, 6, 1, 2, 6, 1, 0, 2, 1, 10, 10, 10, 6, 2, 6, 10, 10, 1, 6, 10, 2, 1, 10, 10, 6, 6, 10, 1, 6, 6, 9, 2, 10, 6, 2, 1, 2, 1, 2, 2, 10, 2, 0, 6, 1, 2, 1, 1, 2, 10, 9, 6, 6, 10, 2, 1, 10, 2, 6, 1, 10, 10, 2, 2, 10, 2, 6, 1, 2, 10, 2, 1, 10, 10, 10, 10, 2, 1, 10, 6, 1, 2, 6, 6, 2, 1, 6, 2, 2, 1, 10, 6, 10, 10, 2, 10, 6, 6, 1, 10, 1, 2, 10, 10, 4, 6, 10, 6, 2, 10, 2, 6, 6, 2, 1, 1, 10, 6, 2, 6, 6, 10, 6, 6, 10, 2, 2, 1, 6, 2, 10, 2, 2, 10, 10, 2, 2, 1, 6, 2, 10, 1, 1, 10, 1, 1, 1, 1, 6, 1, 10, 10, 10, 6, 6, 1, 6, 2, 1, 4, 10, 2, 1, 2, 10, 6, 1, 10, 6, 6, 1, 1, 6, 10, 10, 6, 1, 10, 10, 6, 2, 2, 2, 1, 2, 2, 6, 2, 6, 6, 6, 2, 10, 10, 2, 10, 10, 1, 1, 2, 10, 10, 1, 1, 2, 6, 2, 6, 10, 1, 6, 1, 2, 6, 6, 10, 1, 2, 1, 1, 6, 6, 10, 10, 1, 2, 10, 6, 6, 2, 10, 1, 1, 6, 1, 2, 6, 2, 10, 6, 6, 10, 0, 1, 1, 10, 10, 1, 6, 0, 6, 6, 1, 1, 2, 1, 1, 10, 2, 10, 2, 2, 10, 6, 6, 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10, 1, 6, 6, 1, 10, 6, 2, 2, 1, 2, 10, 10, 6, 2, 2, 2, 10, 1, 10, 2, 6, 0, 2, 6, 6, 1, 10, 1, 1, 1, 1, 6, 6, 1, 10, 1, 1, 6, 6, 10, 1, 10, 1, 10, 2, 1, 10, 10, 2, 2, 2, 10, 2, 1, 2, 2, 10, 2, 6, 10, 2, 2, 10, 10, 10, 2, 1, 2, 2, 2, 6, 10, 6, 6, 10, 5, 1, 10, 0, 1, 10, 2, 10, 10, 10, 10, 1, 1, 2, 6, 1, 6, 6, 6, 1, 10, 2, 6, 1, 1, 6, 10, 2, 1, 1, 2, 1, 10, 10, 6, 2, 1, 2, 1, 6, 6, 1, 10, 2, 6, 9, 2, 2, 2, 5, 1, 6, 2, 6, 6, 10, 1, 6, 2, 1, 2, 10, 2, 1, 1, 6, 6, 6, 1, 10, 10, 10, 6, 1, 1, 10, 1, 10, 6, 1, 1, 2, 10, 6, 2, 6, 10, 1, 1, 2, 1, 2, 10, 2, 4, 1, 1, 2, 2, 2, 6, 1, 10, 2, 1, 5, 1, 2, 6, 6, 10, 10, 10, 1, 1, 10, 1, 10, 6, 6, 10, 5, 10, 4, 6, 10, 2, 10, 0, 4, 2, 6, 2, 6, 1, 6, 2, 6, 6, 2, 10, 1, 2, 10, 0, 10, 2, 2, 1, 2, 1, 6, 1, 10, 10, 10, 10, 2, 6, 6, 1, 10, 10, 10, 2, 10, 10, 10, 1, 1, 6, 10, 2, 6, 0, 10, 2, 10, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 10, 10, 2, 2, 2, 6, 1, 6, 6, 10, 1, 1, 2, 6, 10, 10, 2, 10, 6, 6, 1, 1, 10, 6, 2, 10, 6, 1, 2, 2, 10, 1, 6, 1, 2, 10, 1, 10, 1, 1, 1, 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10, 2, 2, 1, 2, 1, 10, 6, 6, 2, 10, 6, 2, 1, 1, 10, 6, 4, 6, 1, 2, 10, 6, 1, 6, 10, 6, 1, 6, 1, 1, 1, 1, 10, 6, 1, 2, 2, 2, 10, 6, 9, 1, 1, 1, 10, 1, 2, 2, 1, 10, 2, 2, 6, 10, 10, 6, 2, 10, 2, 2, 6, 6, 2, 1, 10, 6, 10, 1, 6, 6, 2, 6, 1, 2, 2, 10, 2, 2, 2, 1, 2, 6, 6, 6, 2, 6, 6, 10, 6, 2, 6, 2, 1, 2, 6, 1, 1, 1, 2, 6, 2, 2, 1, 1, 10, 1, 2, 6, 1, 6, 6, 2, 1, 10, 1, 2, 6, 2, 2, 1, 1, 10, 10, 10, 10, 6, 1, 6, 6, 10, 1, 2, 1, 10, 1, 10, 10, 1, 10, 1, 1, 2, 6, 10, 10, 1, 10, 1, 10, 8, 10, 2, 2, 1, 1, 1, 10, 10, 1, 6, 6, 10, 1, 2, 2, 10, 10, 6, 1, 6, 2, 1, 2, 1, 2, 10, 1, 2, 10, 6, 2, 2, 6, 1, 1, 6, 10, 6, 1, 2, 2, 1, 2, 2, 1, 1, 2, 10, 2, 2, 2, 10, 1, 1, 10, 2, 6, 6, 1, 4, 1, 6, 1, 1, 10, 1, 10, 6, 6, 6, 1, 6, 2, 2, 6, 6, 2, 6, 10, 2, 6, 1, 6, 10, 2, 2, 6, 10, 1, 1, 1, 1, 1, 10, 1, 6, 2, 6, 10, 2, 0, 2, 1, 2, 6, 1, 10, 6, 10, 10, 2, 6, 10, 10, 10, 6, 2, 1, 10, 10, 10, 2, 10, 10, 1, 2, 6, 10, 10, 6, 2, 2, 6, 1, 1, 10, 1, 10, 2, 6, 2, 10, 2, 2, 1, 1, 1, 6, 2, 6, 6, 10, 6, 2, 10, 2, 6, 6, 1, 1, 2, 10, 2, 6, 1, 6, 10, 6, 10, 6, 6, 10, 2, 10, 2, 6, 6, 2, 1, 1, 1, 6, 1, 6, 2, 4, 1, 1, 1, 5, 10, 10, 2, 2, 6, 1, 10, 2, 4, 1, 1, 2, 2, 6, 1, 1, 10, 6, 2, 6, 2, 1, 1, 6, 10, 1, 1, 6, 2, 6, 2, 1, 10, 10, 6, 1, 1, 1, 10, 1, 6, 6, 5, 6, 2, 1, 2, 2, 6, 9, 10, 10, 6, 2, 10, 2, 10, 2, 6, 1, 10, 2, 1, 5, 1, 6, 2, 6, 10, 2, 2, 1, 2, 6, 2, 5, 5, 2, 1, 10, 1, 1, 1, 10, 10, 10, 1, 10, 10, 10, 1, 1, 0, 10, 2, 6, 1, 10, 10, 6, 10, 1, 10, 6, 6, 1, 0, 10, 1, 6, 10, 10, 10, 10, 2, 1, 6, 2, 2, 6, 2, 1, 1, 2, 10, 2, 6, 1, 1, 2, 2, 2, 2, 10, 6, 1, 5, 1, 10, 10, 6, 2, 1, 1, 2, 0, 10, 2, 2, 1, 10, 1, 1, 10, 10, 6, 9, 2, 1, 10, 2, 0, 2, 10, 10, 2, 10, 1, 6, 6, 1, 1, 10, 2, 6, 1, 2, 2, 9, 6, 10, 6, 6, 10, 10, 2, 1, 10, 2, 1, 2, 10, 6, 1, 2, 10, 2, 6, 1, 1, 1, 1, 2, 5, 1, 2, 9, 6, 10, 1, 1, 10, 10, 6, 10, 6, 2, 1, 6, 6, 4, 6, 2, 2, 1, 1, 2, 2, 2, 1, 10, 10, 6, 6, 5, 6, 10, 2, 2, 2, 10, 6, 10, 10, 5, 6, 1, 6, 6, 1, 10, 10, 2, 10, 10, 1, 2, 10, 2, 2, 2, 10, 2, 6, 1, 6, 1, 6, 10, 1, 10, 2, 10, 6, 2, 1, 10, 2, 1, 8, 10, 2, 10, 9, 1, 2, 6, 10, 2, 6, 1, 6, 6, 1, 2, 4, 6, 6, 2, 2, 6, 6, 6, 2, 1, 6, 2, 2, 10, 10, 6, 6, 10, 10, 2, 5, 10, 1, 1, 2, 4, 2, 6, 10, 1, 6, 10, 2, 1, 2, 2, 1, 1, 10, 1, 10, 1, 1, 1, 2, 6, 6, 10, 2, 2, 2, 9, 10, 10, 2, 1, 10, 6, 10, 6, 10, 1, 10, 10, 4, 1, 10, 2, 10, 1, 10, 1, 10, 6, 6, 10, 6, 4, 1, 2, 1, 1, 4, 1, 2, 2, 1, 2, 5, 6, 10, 4, 2, 1, 6, 2, 6, 10, 2, 6, 10, 6, 6, 1, 10, 10, 1, 6, 2, 6, 1, 6, 6, 2, 10, 6, 2, 10, 6, 2, 1, 2, 10, 2, 6, 10, 6, 6, 6, 6, 10, 2, 6, 10, 10, 1, 1, 10, 6, 2, 0, 2, 6, 2, 10, 2, 6, 2, 10, 6, 5, 2, 2, 2, 6, 2, 2, 2, 6, 2, 1, 2, 6, 6, 1, 10, 10, 1, 6, 6, 6, 6, 6, 1, 1, 2, 10, 2, 6, 2, 1, 2, 2, 1, 10, 1, 6, 10, 6, 10, 1, 6, 1, 1, 6, 10, 1, 1, 2, 2, 2, 10, 6, 2, 6, 1, 6, 6, 1, 2, 1, 5, 1, 6, 10, 1, 2, 6, 10, 10, 2, 10, 1, 10, 2, 1, 2, 2, 10, 2, 10, 10, 1, 5, 1, 0, 6, 1, 6, 6, 2, 1, 10, 10, 2, 2, 2, 2, 9, 1, 6, 10, 6, 6, 10, 10, 6, 2, 6, 6, 6, 2, 10, 6, 2, 1, 1, 1, 2, 10, 2, 10, 10, 10, 6, 10, 6, 1, 10, 2, 1, 2, 2, 1, 6, 2, 6, 10, 1, 10, 2, 2, 10, 9, 1, 2, 6, 6, 6, 6, 2, 2, 10, 10, 6, 10, 10, 10, 2, 1, 2, 0, 2, 1, 6, 1, 10, 1, 1, 2, 6, 2, 2, 10, 5, 10, 10, 1, 2, 6, 10, 2, 1, 2, 1, 10, 6, 9, 6, 2, 2, 2, 1, 10, 6, 6, 1, 2, 4, 2, 10, 1, 10, 5, 6, 1, 2, 1, 10, 2, 6, 2, 1, 10, 10, 6, 10, 1, 1, 10, 6, 2, 2, 6, 2, 2, 6, 6, 10, 6, 1, 1, 2, 6, 2, 6, 1, 1, 1, 1, 2, 2, 2, 2, 10, 2, 6, 6, 2, 1, 2, 6, 6, 6, 6, 2, 2, 2, 6, 2, 1, 6, 6, 1, 6, 2, 6, 6, 10, 6, 1, 6, 2, 6, 10, 1, 10, 6, 1, 2, 6, 6, 2, 10, 1, 10, 10, 6, 2, 1, 2, 1, 2, 6, 10, 2, 0, 1, 10, 1, 10, 2, 10, 1, 10, 2, 10, 10, 10, 9, 1, 2, 10, 1, 1, 10, 2, 10, 6, 2, 1, 6, 6, 1, 10, 2, 6, 10, 7, 10, 10, 0, 1, 1, 2, 10, 10, 10, 6, 1, 2, 5, 2, 6, 10, 6, 1, 6, 6, 10, 2, 10, 1, 6, 6, 10, 10, 2, 1, 2, 10, 10, 2, 2, 10, 10, 6, 10, 1, 2, 1, 2, 2, 1, 6, 2, 1, 2, 2, 10, 2, 1, 1, 2, 6, 6, 6, 6, 1, 1, 4, 1, 6, 6, 10, 6, 1, 10, 6, 1, 2, 10, 10, 1, 10, 10, 1, 10, 2, 10, 1, 1, 10, 2, 6, 2, 2, 10, 10, 2, 6, 6, 10, 6, 6, 2, 10, 1, 6, 2, 1, 1, 10, 2, 6, 10, 6, 6, 2, 9, 1, 2, 6, 1, 2, 10, 2, 10, 6, 6, 2, 2, 6, 2, 2, 10, 10, 0, 1, 2, 5, 1, 6, 6, 2, 2, 2, 5, 1, 2, 2, 10, 2, 2, 2, 10, 1, 2, 6, 1, 4, 6, 10, 2, 2, 6, 6, 10, 6, 6, 1, 10, 10, 10, 6, 2, 6, 2, 6, 2, 10, 10, 1, 1, 1, 10, 10, 6, 2, 6, 6, 1, 2, 6, 2, 2, 2, 1, 10, 1, 6, 2, 6, 1, 6, 2, 10, 6, 10, 10, 10, 10, 10, 1, 7, 6, 1, 10, 2, 6, 6, 10, 2, 0, 2, 2, 1, 2, 6, 0, 6, 6, 2, 10, 10, 10, 10, 10, 1, 1, 2, 6, 1, 1, 6, 1, 2, 10, 10, 10, 2, 6, 2, 2, 10, 1, 1, 1, 6, 6, 1, 2, 2, 2, 10, 1, 10, 1, 10, 6, 10, 6, 10, 10, 6, 10, 1, 6, 6, 1, 6, 2, 1, 1, 10, 6, 2, 2, 2, 2, 2, 6, 10, 2, 10, 6, 1, 1, 6, 2, 10, 1, 1, 10, 2, 1, 1, 6, 1, 10, 2, 1, 1, 6, 10, 6, 1, 2, 10, 2, 1, 1, 6, 10, 2, 1, 1, 2, 10, 1, 10, 2, 2, 6, 10, 6, 10, 5, 2, 9, 10, 10, 10, 1, 6, 1, 1, 10, 10, 4, 6, 2, 6, 10, 2, 2, 6, 10, 10, 10, 2, 6, 10, 2, 6, 10, 10, 2, 10, 1, 6, 6, 1, 1, 10, 10, 0, 2, 1, 6, 2, 10, 10, 6, 2, 2, 10, 1, 10, 2, 10, 1, 2, 1, 2, 6, 10, 10, 1, 10, 10, 1, 6, 1, 6, 1, 6, 2, 10, 6, 2, 6, 10, 10, 6, 1, 6, 6, 10, 6, 6, 6, 6, 1, 1, 2, 6, 6, 10, 2, 10, 1, 2, 10, 10, 10, 1, 2, 2, 6, 2, 6, 1, 1, 2, 6, 2, 5, 10, 6, 6, 1, 6, 10, 1, 6, 10, 2, 2, 10, 10, 10, 1, 9, 2, 6, 10, 1, 2, 2, 6, 6, 1, 10, 1, 6, 10, 10, 2, 10, 1, 1, 10, 1, 1, 1, 6, 6, 6, 10, 2, 2, 10, 1, 6, 6, 2, 6, 6, 2, 6, 10, 6, 1, 2, 6, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 10, 3, 1, 6, 6, 6, 10, 10, 6, 10, 2, 6, 1, 10, 6, 10, 10, 10, 6, 10, 1, 6, 6, 1, 2, 6, 6, 10, 1, 6, 2, 10, 10, 6, 2, 2, 5, 10, 1, 2, 6, 0, 10, 10, 1, 1, 1, 1, 2, 6, 10, 1, 10, 6, 10, 1, 10, 1, 1, 6, 10, 10, 6, 10, 6, 10, 1, 2, 1, 2, 2, 2, 10, 1, 6, 2, 6, 2, 1, 1, 6, 6, 1, 2, 2, 2, 1, 2, 10, 10, 6, 10, 5, 1, 10, 6, 10, 6, 2, 1, 2, 6, 0, 2, 6, 2, 6, 1, 10, 1, 10, 10, 6, 10, 2, 2, 2, 2, 10, 1, 6, 2, 1, 10, 10, 6, 9, 2, 2, 10, 6, 1, 1, 6, 2, 2, 0, 2, 2, 6, 2, 1, 1, 10, 6, 6, 10, 10, 2, 2, 1, 1, 6, 10, 2, 1, 2, 6, 10, 10, 10, 10, 10, 2, 10, 6, 6, 2, 2, 0, 6, 6, 0, 10, 1, 6, 6, 2, 6, 10, 1, 2, 2, 1, 10, 6, 1, 2, 2, 2, 2, 5, 10, 1, 2, 1, 1, 10, 10, 6, 6, 1, 9, 10, 1, 6, 10, 1, 4, 1, 2, 10, 6, 10, 6, 10, 1, 6, 10, 6, 6, 10, 1, 1, 1, 10, 6, 1, 6, 6, 6, 6, 10, 10, 6, 6, 10, 1, 2, 1, 2, 1, 6, 2, 6, 6, 1, 2, 6, 10, 10, 10, 2, 2, 1, 10, 10, 6, 6, 1, 10, 10, 6, 1, 2, 1, 10, 6, 10, 6, 6, 2, 1, 10, 1, 1, 1, 10, 1, 10, 6, 2, 6, 2, 6, 10, 1, 2, 10, 10, 6, 6, 6, 1, 2, 10, 6, 6, 10, 10, 2, 9, 10, 6, 10, 2, 1, 2, 10, 10, 10, 6, 2, 2, 1, 10, 6, 6, 2, 2, 0, 6, 6, 1, 1, 10, 6, 2, 10, 1, 1, 2, 1, 1, 10, 10, 10, 1, 6, 10, 10, 1, 2, 2, 10, 2, 6, 6, 2, 2, 6, 2, 1, 2, 10, 2, 10, 1, 2, 6, 6, 6, 1, 1, 0, 2, 1, 1, 6, 2, 2, 10, 0, 5, 5, 0, 2, 2, 1, 6, 1, 2, 6, 2, 6, 1, 10, 6, 2, 1, 2, 2, 2, 2, 1, 6, 10, 2, 1, 2, 2, 6, 6, 2, 1, 1, 10, 10, 2, 1, 2, 1, 1, 10, 1, 1, 1, 2, 1, 10, 6, 6, 5, 10, 2, 1, 1, 2, 9, 6, 1, 2, 1, 2, 2, 1, 1, 2, 1, 10, 2, 2, 6, 6, 6, 6, 6, 1, 6, 10, 2, 2, 6, 2, 1, 10, 2, 2, 1, 1, 1, 1, 2, 6, 1, 6, 2, 2, 1, 2, 5, 2, 1, 2, 2, 2, 2, 2, 10, 6, 1, 10, 10, 6, 10, 10, 10, 6, 6, 1, 6, 6, 6, 6, 10, 2, 10, 2, 2, 2, 10, 10, 6, 10, 1, 2, 2, 6, 10, 2, 6, 10, 2, 10, 6, 6, 2, 1, 10, 6, 1, 6, 2, 6, 1, 10, 10, 2, 10, 6, 2, 2, 2, 10, 6, 6, 1, 1, 1, 6, 1, 6, 10, 1, 1, 10, 6, 1, 2, 6, 2, 1, 2, 2, 1, 1, 10, 6, 10, 10, 2, 10, 1, 2, 6, 6, 10, 1, 1, 2, 2, 10, 9, 1, 6, 1, 1, 6, 10, 6, 4, 6, 10, 6, 6, 1, 1, 1, 2, 2, 1, 2, 1, 1, 10, 2, 6, 6, 6, 2, 10, 1, 10, 6, 10, 2, 6, 10, 10, 1, 10, 1, 1, 2, 10, 10, 2, 1, 4, 2, 10, 1, 10, 1, 2, 1, 2, 2, 2, 1, 5, 1, 6, 10, 10, 9, 6, 10, 2, 6, 2, 10, 10, 2, 1, 1, 6, 1, 6, 10, 1, 10, 1, 4, 10, 10, 6, 60, 6, 1, 2, 1, 6, 2, 6, 1, 6, 4, 1, 10, 1, 1, 10, 10, 2, 10, 6, 2, 1, 6, 10, 1, 10, 5, 6, 10, 6, 1, 6, 6, 10, 6, 6, 6, 2, 10, 6, 10, 10, 2, 2, 0, 2, 6, 6, 1, 10, 2, 1, 10, 1, 10, 10, 2, 2, 10, 2, 2, 6, 1, 2, 2, 2, 10, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 10, 4, 2, 10, 6, 6, 6, 10, 1, 2, 6, 6, 1, 5, 6, 2, 2, 2, 6, 1, 10, 1, 6, 6, 1, 2, 1, 6, 6, 10, 10, 1, 2, 2, 2, 1, 6, 10, 2, 10, 6, 6, 10, 10, 1, 6, 6, 10, 1, 2, 2, 2, 6, 1, 1, 1, 0, 1, 1, 1, 10, 1, 1, 10, 2, 1, 1, 10, 1, 10, 2, 10, 6, 1, 1, 6, 1, 2, 6, 1, 6, 6, 2, 1, 10, 1, 6, 2, 6, 2, 2, 10, 2, 10, 6, 1, 1, 10, 1, 10, 6, 2, 6, 1, 1, 10, 6, 6, 2, 2, 1, 2, 6, 2, 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1, 10, 10, 6, 1, 6, 2, 6, 1, 2, 6, 2, 1, 2, 2, 6, 10, 10, 2, 6, 2, 10, 1, 6, 2, 6, 2, 10, 2, 2, 10, 10, 6, 2, 10, 2, 10, 10, 1, 2, 6, 2, 6, 6, 6, 4, 10, 10, 10, 10, 10, 2, 2, 1, 2, 1, 1, 6, 1, 6, 2, 2, 2, 6, 10, 6, 10, 10, 1, 10, 2, 2, 2, 1, 6, 1, 1, 1, 2, 6, 2, 2, 5, 10, 10, 1, 6, 9, 10, 2, 10, 10, 9, 10, 2, 0, 1, 6, 2, 1, 6, 6, 2, 10, 10, 6, 1, 2, 10, 10, 6, 10, 10, 2, 2, 6, 6, 10, 1, 10, 6, 6, 1, 2, 1, 2, 2, 6, 10, 10, 1, 6, 6, 10, 6, 1, 10, 1, 1, 2, 1, 1, 1, 1, 6, 2, 10, 6, 1, 10, 6, 6, 10, 2, 6, 1, 10, 1, 10, 2, 6, 2, 6, 10, 10, 10, 10, 2, 10, 2, 10, 2, 6, 10, 10, 10, 1, 2, 1, 1, 2, 6, 1, 6, 10, 6, 10, 1, 1, 6, 6, 2, 4, 2, 6, 6, 6, 10, 1, 2, 1, 6, 9, 10, 5, 6, 2, 2, 1, 1, 10, 6, 5, 10, 2, 1, 10, 6, 1, 2, 2, 2, 10, 1, 10, 10, 10, 2, 6, 1, 9, 6, 1, 2, 1, 1, 6, 1, 6, 10, 10, 6, 10, 6, 1, 2, 10, 2, 10, 10, 2, 10, 1, 10, 10, 2, 2, 6, 6, 6, 10, 2, 1, 6, 1, 1, 0, 10, 6, 6, 1, 2, 1, 2, 10, 10, 2, 2, 1, 1, 10, 10, 10, 2, 1, 2, 2, 2, 10, 2, 1, 10, 2, 6, 2, 10, 1, 2, 10, 1, 6, 10, 1, 6, 1, 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6, 2, 10, 6, 2, 1, 10, 10, 6, 10, 1, 1, 6, 10, 10, 1, 2, 6, 2, 2, 1, 1, 10, 10, 5, 1, 10, 1, 10, 6, 10, 1, 1, 10, 1, 6, 1, 1, 2, 6, 10, 9, 1, 10, 10, 2, 2, 10, 10, 10, 6, 1, 10, 1, 1, 6, 6, 1, 2, 1, 2, 1, 9, 9, 1, 6, 1, 0, 10, 10, 1, 10, 0, 10, 2, 10, 6, 10, 4, 6, 2, 1, 6, 6, 1, 2, 10, 10, 1, 10, 1, 2, 1, 1, 1, 1, 6, 1, 2, 10, 1, 1, 6, 2, 1, 10, 2, 1, 6, 2, 6, 2, 1, 6, 6, 1, 2, 2, 6, 10, 2, 10, 10, 1, 2, 1, 2, 10, 10, 1, 10, 2, 10, 10, 2, 10, 2, 6, 6, 2, 2, 1, 2, 1, 10, 2, 6, 6, 2, 6, 6, 6, 6, 10, 10, 10, 6, 10, 10, 2, 6, 10, 1, 1, 6, 1, 2, 1, 2, 6, 2, 2, 2, 1, 1, 10, 10, 10, 1, 10, 2, 2, 10, 2, 1, 2, 10, 1, 2, 10, 2, 6, 1, 6, 1, 1, 10, 10, 2, 3, 6, 1, 10, 6, 10, 10, 1, 1, 2, 2, 1, 1, 6, 10, 6, 2, 1, 10, 6, 6, 1, 2, 10, 1, 6, 6, 9, 1, 6, 10, 2, 6, 10, 6, 1, 2, 2, 6, 2, 2, 10, 1, 2, 6, 2, 6, 1, 1, 1, 10, 10, 2, 2, 1, 10, 6, 6, 6, 2, 10, 1, 2, 5, 10, 10, 6, 9, 1, 2, 10, 1, 1, 6, 6, 10, 2, 1, 10, 6, 6, 6, 6, 1, 6, 1, 6, 1, 10, 10, 1, 10, 2, 10, 1, 2, 2, 10, 2, 10, 1, 1, 10, 10, 1, 2, 6, 2, 10, 2, 10, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 10, 2, 10, 6, 1, 10, 6, 2, 10, 10, 6, 6, 6, 6, 6, 6, 10, 2, 0, 10, 2, 2, 10, 6, 1, 6, 1, 9, 10, 2, 10, 2, 10, 6, 1, 1, 2, 2, 1, 2, 6, 10, 10, 6, 2, 2, 1, 6, 1, 1, 1, 6, 1, 10, 2, 2, 10, 10, 10, 10, 10, 1, 4, 1, 2, 10, 6, 2, 6, 10, 2, 10, 2, 1, 6, 10, 2, 0, 2, 2, 1, 1, 2, 6, 6, 10, 0, 1, 10, 10, 10, 2, 6, 1, 10, 6, 1, 10, 1, 1, 0, 10, 10, 1, 10, 10, 10, 1, 2, 6, 2, 1, 2, 6, 10, 2, 2, 1, 6, 1, 6, 6, 2, 2, 9, 2, 2, 6, 10, 6, 10, 10, 6, 6, 2, 6, 2, 6, 10, 1, 1, 1, 2, 6, 6, 1, 2, 10, 1, 10, 10, 1, 2, 1, 2, 6, 2, 1, 2, 1, 2, 2, 1, 10, 10, 6, 6, 1, 2, 1, 40, 1, 2, 6, 2, 10, 10, 6, 1, 10, 1, 10, 6, 10, 6, 1, 6, 10, 6, 5, 1, 6, 6, 1, 2, 6, 10, 6, 1, 5, 4, 1, 10, 6, 2, 1, 1, 2, 1, 2, 2, 2, 6, 1, 10, 6, 1, 5, 6, 10, 10, 2, 2, 1, 2, 10, 10, 6, 1, 6, 1, 2, 10, 4, 10, 2, 2, 10, 2, 6, 6, 2, 10, 1, 1, 2, 10, 10, 6, 6, 1, 1, 1, 1, 2, 10, 6, 1, 1, 1, 6, 4, 1, 10, 1, 1, 6, 1, 1, 1, 10, 6, 1, 6, 10, 1, 10, 6, 5, 10, 2, 2, 2, 1, 6, 6, 6, 5, 1, 2, 2, 2, 6, 10, 10, 2, 2, 2, 10, 10, 2, 2, 1, 2, 10, 6, 6, 6, 6, 1, 10, 1, 1, 6, 1, 10, 2, 6, 2, 6, 6, 10, 2, 10, 1, 2, 2, 1, 6, 10, 10, 2, 2, 6, 10, 10, 10, 4, 10, 10, 2, 1, 6, 6, 6, 4, 10, 10, 6, 2, 1, 10, 2, 6, 2, 4, 10, 2, 10, 10, 6, 2, 4, 10, 6, 2, 6, 1, 10, 6, 6, 1, 1, 2, 6, 2, 6, 6, 10, 6, 6, 2, 10, 10, 6, 6, 1, 1, 2, 2, 2, 2, 6, 0, 1, 2, 6, 6, 6, 10, 1, 10, 10, 2, 1, 10, 1, 2, 10, 10, 6, 1, 2, 9, 6, 10, 6, 6, 2, 10, 5, 6, 10, 1, 1, 2, 6, 1, 10, 2, 6, 2, 6, 10, 10, 10, 6, 10, 10, 1, 6, 10, 10, 10, 2, 6, 1, 2, 6, 2, 2, 1, 10, 10, 1, 6, 6, 1, 10, 10, 1, 1, 2, 10, 1, 1, 1, 10, 6, 2, 1, 6, 1, 10, 2, 10, 6, 6, 10, 6, 1, 4, 10, 6, 1, 6, 2, 1, 6, 4, 0, 6, 2, 10, 6, 10, 1, 10, 2, 2, 2, 10, 6, 10, 6, 1, 1, 2, 6, 2, 6, 4, 10, 6, 1, 6, 6, 6, 10, 10, 10, 2, 1, 1, 6, 10, 10, 1, 10, 6, 1, 10, 2, 2, 2, 1, 10, 10, 10, 10, 10, 1, 1, 1, 10, 2, 1, 2, 1, 2, 1, 2, 1, 1, 10, 6, 1, 1, 2, 6, 1, 10, 10, 2, 10, 5, 1, 6, 2, 6, 6, 6, 6, 2, 6, 6, 6, 2, 10, 10, 10, 6, 1, 1, 2, 10, 1, 10, 1, 2, 6, 10, 2, 6, 4, 6, 6, 10, 6, 1, 6, 10, 10, 1, 10, 10, 6, 6, 6, 10, 10, 6, 1, 2, 10, 1, 1, 1, 2, 6, 2, 1, 2, 2, 10, 2, 10, 2, 2, 2, 1, 6, 2, 6, 2, 1, 10, 1, 9, 1, 1, 1, 2, 6, 6, 2, 6, 6, 10, 10, 10, 6, 10, 1, 10, 2, 10, 10, 6, 10, 2, 6, 2, 6, 6, 1, 1, 0, 1, 6, 6, 6, 6, 2, 0, 10, 2, 2, 2, 6, 10, 6, 1, 1, 1, 2, 2, 1, 6, 6, 1, 2, 2, 1, 2, 2, 10, 1, 2, 2, 1, 10, 2, 1, 6, 10, 10, 1, 1, 6, 1, 6, 1, 1, 10, 10, 1, 1, 6, 1, 1, 6, 2, 10, 2, 1, 10, 6, 6, 1, 2, 6, 1, 10, 6, 1, 10, 10, 2, 10, 9, 1, 2, 1, 6, 6, 1, 4, 6, 2, 1, 1, 2, 6, 2, 6, 6, 2, 1, 6, 10, 1, 10, 1, 10, 6, 10, 1, 6, 10, 1, 1, 1, 2, 10, 10, 6, 6, 6, 6, 10, 10, 6, 6, 10, 10, 10, 6, 6, 6, 1, 6, 6, 1, 10, 6, 6, 6, 1, 10, 10, 1, 1, 6, 6, 2, 10, 2, 6, 1, 6, 10, 10, 6, 1, 10, 10, 6, 2, 6, 2, 1, 6, 1, 1, 2, 1, 10, 10, 1, 2, 1, 1, 6, 1, 6, 10, 2, 2, 2, 6, 1, 10, 10, 1, 1, 10, 2, 10, 10, 10, 9, 2, 6, 10, 1, 1, 1, 1, 6, 10, 6, 6, 10, 10, 6, 6, 2, 2, 10, 6, 10, 10, 0, 10, 6, 6, 1, 2, 2, 6, 10, 6, 10, 6, 2, 10, 2, 6, 10, 10, 6, 6, 10, 2, 10, 2, 10, 6, 10, 10, 10, 10, 1, 1, 2, 10, 6, 1, 10, 10, 6, 6, 1, 10, 1, 1, 6, 6, 6, 2, 6, 2, 2, 2, 10, 2, 6, 2, 6, 10, 1, 2, 6, 1, 2, 6, 1, 6, 10, 10, 1, 1, 2, 1, 6, 1, 2, 6, 6, 6, 6, 1, 10, 10, 10, 10, 6, 10, 1, 5, 2, 6, 6, 10, 6, 1, 2, 10, 1, 2, 2, 2, 1, 2, 10, 10, 2, 10, 10, 6, 10, 2, 6, 2, 2, 2, 2, 0, 5, 2, 10, 10, 6, 10, 10, 10, 1, 10, 2, 1, 1, 5, 10, 1, 10, 6, 6, 1, 6, 6, 6, 6, 6, 10, 2, 10, 6, 10, 1, 1, 6, 6, 2, 1, 1, 6, 10, 1, 10, 6, 2, 2, 1, 2, 1, 1, 6, 2, 2, 2, 10, 1, 1, 1, 6, 1, 6, 10, 1, 1, 6, 6, 10, 0, 6, 2, 2, 10, 1, 1, 10, 2, 1, 1, 6, 10, 5, 2, 6, 2, 6, 10, 2, 2, 10, 6, 6, 10, 2, 10, 2, 9, 1, 1, 2, 2, 2, 6, 6, 10, 1, 1, 1, 5, 1, 6, 6, 10, 2, 2, 6, 2, 1, 10, 2, 1, 2, 1, 10, 2, 6, 10, 1, 6, 10, 10, 2, 2, 2, 10, 6, 2, 2, 1, 6, 2, 6, 6, 10, 1, 1, 1, 10, 4, 2, 1, 6, 2, 2, 1, 6, 2, 2, 1, 2, 2, 10, 1, 6, 1, 1, 2, 6, 1, 10, 1, 6, 10, 6, 2, 2, 10, 10, 1, 6, 1, 6, 1, 1, 6, 1, 2, 6, 2, 6, 6, 6, 6, 6, 6, 6, 2, 4, 10, 1, 10, 2, 1, 6, 10, 1, 2, 10, 6, 6, 6, 6, 6, 1, 0, 2, 1, 10, 6, 10, 6, 1, 1, 6, 10, 6, 10, 2, 2, 5, 5, 6, 1, 6, 10, 10, 2, 6, 10, 10, 10, 10, 2, 6, 6, 1, 2, 10, 2, 2, 1, 6, 10, 10, 2, 6, 6, 6, 10, 2, 1, 6, 6, 2, 2, 1, 10, 1, 1, 10, 6, 1, 6, 6, 6, 2, 1, 6, 2, 1, 2, 10, 1, 4, 6, 1, 10, 6, 2, 2, 1, 6, 1, 1, 1, 2, 10, 6, 2, 2, 1, 1, 2, 10, 6, 1, 2, 6, 10, 6, 10, 6, 1, 2, 6, 6, 6, 6, 10, 1, 1, 1, 2, 10, 10, 10, 10, 1, 1, 6, 1, 2, 1, 6, 10, 10, 2, 8, 6, 1, 6, 1, 6, 9, 10, 1, 6, 2, 9, 2, 10, 2, 2, 10, 6, 2, 10, 10, 5, 1, 2, 1, 6, 6, 2, 6, 2, 2, 10, 2, 1, 1, 6, 1, 6, 1, 1, 1, 1, 1, 6, 10, 2, 10, 2, 2, 2, 10, 10, 6, 1, 10, 6, 10, 6, 10, 10, 1, 10, 1, 2, 6, 6, 6, 2, 1, 2, 6, 1, 6, 1, 1, 1, 10, 2, 10, 1, 10, 2, 10, 1, 1, 6, 6, 9, 1, 1, 1, 2, 10, 6, 10, 2, 1, 6, 10, 1, 1, 2, 1, 10, 1, 6, 1, 1, 6, 10, 2, 1, 6, 2, 10, 0, 6, 2, 1, 10, 2, 6, 6, 9, 6, 6, 2, 5, 10, 2, 2, 6, 10, 10, 10, 6, 6, 1, 2, 10, 6, 1, 2, 10, 1, 1, 2, 1, 6, 9, 1, 10, 10, 6, 2, 10, 2, 1, 6, 2, 1, 1, 2, 10, 9, 2, 2, 6, 2, 10, 1, 0, 10, 6, 1, 10, 2, 1, 5, 2, 10, 10, 2, 1, 1, 6, 4, 6, 1, 1, 2, 1, 1, 10, 10, 1, 6, 1, 10, 6, 10, 6, 10, 6, 2, 6, 6, 6, 6, 10, 2, 1, 10, 1, 10, 2, 10, 9, 1, 2, 2, 2, 10, 6, 6, 6, 2, 2, 6, 2, 1, 6, 1, 1, 10, 1, 2, 10, 10, 6, 6, 1, 10, 2, 1, 6, 4, 5, 2, 6, 6, 9, 1, 1, 6, 1, 1, 10, 6, 2, 4, 1, 10, 10, 10, 1, 2, 2, 1, 10, 1, 1, 6, 2, 1, 1, 10, 1, 1, 1, 6, 2, 10, 10, 10, 2, 6, 2, 1, 2, 1, 10, 10, 2, 2, 6, 1, 10, 2, 6, 10, 10, 2, 2, 2, 6, 2, 6, 2, 6, 1, 1, 2, 10, 6, 6, 2, 6, 1, 10, 1, 1, 10, 6, 10, 2, 1, 1, 1, 1, 1, 6, 2, 10, 6, 2, 6, 6, 1, 10, 2, 2, 1, 5, 10, 1, 6, 10, 10, 6, 1, 10, 10, 10, 2, 2, 6, 6, 1, 1, 10, 1, 10, 6, 6, 10, 1, 10, 9, 10, 9, 2, 4, 6, 1, 1, 10, 6, 10, 6, 1, 10, 6, 2, 2, 6, 9, 0, 1, 10, 10, 6, 10, 10, 2, 2, 10, 10, 10, 10, 2, 10, 10, 10, 2, 6, 2, 1, 2, 2, 2, 6, 1, 10, 6, 10, 6, 6, 2, 6, 10, 2, 2, 9, 1, 2, 10, 2, 2, 9, 6, 2, 1, 2, 10, 6, 1, 6, 6, 10, 2, 10, 1, 1, 6, 2, 6, 2, 1, 10, 10, 2, 6, 1, 6, 6, 9, 6, 2, 10, 1, 2, 6, 10, 10, 10, 10, 6, 2, 6, 2, 6, 10, 2, 2, 1, 10, 6, 6, 1, 2, 2, 2, 1, 6, 1, 6, 2, 10, 2, 2, 1, 1, 1, 10, 2, 1, 1, 2, 10, 1, 1, 6, 10, 1, 10, 2, 1, 2, 2, 1, 6, 6, 2, 1, 2, 2, 10, 1, 2, 1, 6, 1, 2, 10, 1, 6, 1, 2, 2, 2, 0, 2, 10, 1, 1, 1, 6, 10, 1, 1, 10, 1, 6, 6, 10, 2, 6, 2, 6, 1, 5, 6, 2, 6, 2, 10, 6, 6, 6, 10, 10, 1, 1, 6, 10, 1, 1, 1, 1, 1, 0, 6, 10, 10, 10, 6, 6, 6, 6, 1, 6, 1, 10, 2, 2, 2, 10, 1, 9, 2, 1, 10, 10, 2, 2, 6, 2, 1, 1, 1, 1, 2, 2, 6, 10, 6, 2, 2, 2, 2, 1, 6, 1, 10, 2, 2, 2, 1, 6, 1, 1, 10, 10, 1, 6, 2, 10, 10, 10, 6, 0, 1, 1, 2, 4, 4, 10, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 6, 1, 10, 6, 1, 1, 2, 10, 6, 2, 6, 1, 6, 2, 2, 1, 10, 2, 2, 2, 2, 2, 1, 6, 2, 2, 10, 6, 0, 6, 6, 6, 2, 1, 1, 1, 2, 6, 2, 2, 1, 10, 2, 1, 6, 10, 10, 10, 1, 6, 2, 2, 10, 6, 2, 6, 1, 2, 1, 1, 2, 2, 6, 10, 2, 2, 2, 6, 10, 6, 10, 1, 10, 6, 10, 2, 6, 10, 1, 6, 6, 9, 2, 10, 6, 10, 10, 6, 2, 2, 2, 10, 2, 10, 2, 2, 2, 6, 6, 1, 2, 1, 10, 1, 6, 1, 6, 2, 6, 10, 2, 10, 1, 1, 6, 10, 10, 4, 6, 6, 6, 6, 1, 2, 6, 6, 6, 2, 1, 2, 1, 10, 1, 2, 6, 1, 10, 10, 10, 10, 2, 0, 6, 2, 1, 10, 1, 2, 2, 6, 10, 1, 10, 1, 2, 10, 2, 6, 6, 1, 1, 1, 1, 10, 2, 2, 6, 2, 6, 10, 10, 6, 2, 10, 6, 10, 6, 6, 10, 10, 10, 1, 1, 1, 10, 1, 2, 2, 10, 10, 2, 6, 10, 6, 2, 6, 10, 6, 10, 1, 2, 6, 1, 6, 1, 1, 6, 10, 1, 1, 1, 1, 6, 9, 10, 2, 6, 10, 10, 2, 2, 1, 10, 1, 1, 10, 6, 1, 2, 1, 1, 2, 1, 1, 1, 6, 10, 6, 1, 1, 1, 1, 4, 6, 6, 2, 2, 6, 2, 2, 0, 6, 10, 10, 6, 10, 9, 10, 1, 2, 9, 6, 2, 6, 0, 6, 6, 1, 6, 2, 6, 10, 2, 1, 1, 6, 1, 1, 6, 6, 6, 10, 1, 2, 10, 2, 10, 10, 6, 1, 10, 10, 2, 5, 4, 10, 2, 10, 2, 2, 10, 5, 2, 10, 2, 2, 2, 6, 1, 2, 2, 1, 10, 1, 10, 1, 10, 6, 1, 10, 2, 1, 6, 6, 10, 4, 10, 2, 10, 6, 1, 2, 2, 2, 1, 6, 2, 10, 2, 6, 2, 6, 2, 1, 2, 10, 2, 1, 6, 2, 2, 6, 6, 5, 1, 10, 1, 2, 6, 6, 1, 6, 6, 2, 6, 10, 1, 10, 1, 2, 1, 2, 10, 10, 10, 10, 1, 10, 10, 1, 1, 2, 10, 6, 10, 6, 1, 6, 10, 10, 1, 10, 10, 2, 1, 6, 10, 2, 2, 6, 10, 1, 2, 2, 6, 2, 1, 1, 10, 2, 10, 10, 6, 2, 1, 6, 6, 10, 10, 2, 10, 2, 6, 10, 10, 1, 6, 10, 6, 6, 6, 2, 10, 6, 10, 2, 1, 10, 1, 1, 1, 1, 6, 2, 6, 6, 2, 2, 2, 6, 6, 1, 2, 2, 6, 10, 2, 1, 1, 1, 2, 6, 4, 2, 1, 2, 1, 1, 10, 6, 2, 1, 10, 10, 1, 2, 1, 10, 10, 6, 1, 1, 2, 10, 10, 10, 2, 10, 6, 10, 2, 6, 6, 6, 2, 1, 2, 1, 10, 10, 1, 6, 1, 10, 1, 6, 6, 10, 6, 2, 6, 6, 6, 2, 10, 10, 10, 10, 6, 1, 1, 10, 2, 10, 10, 2, 2, 1, 1, 1, 6, 1, 6, 5, 2, 2, 2, 2, 2, 6, 6, 6, 2, 2, 1, 10, 6, 6, 2, 6, 10, 2, 6, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 6, 1, 10, 10, 10, 2, 6, 1, 6, 10, 2, 6, 2, 10, 6, 10, 2, 1, 5, 10, 6, 10, 6, 2, 6, 10, 6, 2, 6, 1, 10, 6, 2, 10, 2, 0, 2, 4, 1, 2, 2, 2, 10, 2, 6, 1, 1, 2, 2, 2, 6, 6, 1, 1, 2, 10, 1, 2, 10, 2, 10, 10, 1, 10, 10, 1, 2, 10, 1, 6, 6, 10, 40, 6, 1, 1, 6, 10, 1, 10, 2, 1, 2, 1, 10, 2, 6, 1, 6, 1, 2, 6, 1, 1, 10, 2, 10, 10, 2, 2, 1, 6, 5, 6, 6, 2, 6, 1, 1, 10, 10, 2, 6, 1, 6, 1, 10, 6, 0, 1, 6, 10, 2, 10, 2, 10, 10, 1, 6, 6, 10, 2, 1, 2, 2, 1, 10, 0, 6, 1, 2, 2, 10, 1, 10, 10, 1, 1, 1, 6, 10, 10, 1, 1, 6, 10, 2, 6, 1, 1, 2, 1, 1, 10, 2, 10, 10, 1, 10, 10, 1, 6, 9, 2, 1, 2, 2, 1, 2, 10, 10, 6, 10, 2, 6, 2, 2, 10, 2, 2, 6, 10, 10, 2, 2, 4, 2, 1, 2, 1, 2, 2, 1, 2, 6, 1, 6, 1, 10, 6, 2, 2, 10, 6, 2, 2, 10, 2, 6, 1, 6, 6, 2, 6, 2, 10, 2, 1, 1, 10, 6, 2, 2, 1, 10, 1, 6, 10, 10, 1, 2, 1, 6, 1, 2, 6, 6, 10, 6, 5, 10, 1, 6, 1, 10, 10, 10, 10, 1, 4, 2, 2, 6, 2, 2, 10, 6, 2, 10, 6, 2, 1, 10, 1, 2, 1, 6, 1, 2, 6, 1, 5, 2, 10, 1, 6, 10, 5, 10, 10, 10, 10, 2, 6, 10, 10, 10, 10, 6, 1, 1, 1, 10, 10, 1, 6, 6, 6, 2, 6, 6, 10, 10, 10, 1, 1, 6, 6, 1, 6, 10, 1, 6, 1, 6, 2, 1, 1, 2, 10, 10, 6, 1, 10, 10, 2, 1, 2, 6, 6, 6, 6, 10, 6, 6, 2, 6, 2, 10, 6, 10, 2, 6, 1, 2, 6, 2, 6, 1, 2, 6, 1, 6, 6, 6, 10, 2, 1, 1, 6, 4, 10, 10, 10, 6, 6, 2, 9, 2, 2, 1, 1, 10, 6, 10, 10, 10, 2, 2, 10, 10, 6, 2, 1, 2, 10, 2, 1, 6, 10, 1, 10, 2, 10, 10, 10, 6, 1, 2, 10, 2, 1, 1, 6, 10, 2, 2, 1, 1, 10, 2, 10, 10, 1, 6, 2, 1, 10, 2, 10, 1, 1, 6, 1, 10, 1, 10, 6, 2, 6, 6, 10, 6, 10, 1, 10, 2, 6, 10, 1, 1, 1, 1, 2, 1, 2, 10, 1, 6, 10, 6, 10, 10, 6, 6, 10, 1, 2, 10, 10, 6, 1, 10, 1, 10, 1, 1, 10, 10, 6, 6, 10, 6, 1, 10, 2, 2, 2, 10, 6, 6, 1, 6, 6, 10, 10, 2, 4, 2, 1, 1, 1, 6, 6, 6, 1, 2, 6, 1, 6, 10, 2, 1, 2, 2, 2, 2, 1, 2, 10, 10, 1, 10, 6, 1, 10, 2, 6, 6, 10, 6, 1, 1, 10, 6, 10, 10, 1, 1, 10, 10, 10, 10, 1, 2, 2, 2, 6, 10, 10, 6, 6, 2, 1, 10, 10, 6, 6, 2, 2, 2, 2, 2, 1, 6, 2, 2, 1, 4, 6, 0, 1, 10, 2, 10, 6, 6, 6, 10, 2, 6, 10, 6, 2, 2, 1, 1, 1, 1, 2, 2, 10, 1, 6, 2, 2, 2, 1, 10, 10, 6, 1, 2, 10, 6, 1, 6, 6, 1, 6, 10, 10, 1, 2, 1, 10, 10, 2, 1, 1, 4, 1, 10, 4, 6, 2, 10, 10, 2, 10, 2, 10, 2, 1, 1, 10, 10, 10, 2, 2, 10, 6, 6, 6, 2, 5, 1, 10, 9, 2, 10, 1, 6, 10, 6, 2, 6, 10, 2, 10, 1, 10, 6, 2, 6, 10, 2, 2, 6, 6, 10, 6, 10, 6, 1, 6, 1, 1, 10, 10, 1, 2, 6, 2, 10, 2, 1, 1, 6, 1, 2, 1, 6, 1, 0, 1, 6, 1, 10, 2, 2, 1, 2, 10, 4, 1, 1, 2, 10, 6, 2, 10, 1, 10, 6, 1, 2, 2, 6, 2, 9, 2, 1, 2, 2, 1, 1, 1, 1, 2, 10, 10, 2, 6, 10, 1, 10, 6, 1, 6, 10, 10, 1, 10, 1, 10, 6, 6, 1, 6, 10, 10, 2, 10, 10, 2, 2, 1, 2, 10, 6, 2, 0, 2, 1, 10, 10, 1, 10, 2, 1, 1, 10, 10, 2, 1, 6, 10, 6, 1, 1, 6, 2, 10, 1, 1, 1, 2, 1, 6, 2, 1, 1, 10, 6, 10, 10, 10, 2, 6, 6, 2, 1, 10, 1, 6, 2, 1, 1, 10, 2, 10, 1, 1, 2, 6, 6, 6, 10, 6, 6, 9, 2, 5, 1, 1, 6, 2, 6, 6, 10, 1, 2, 6, 2, 4, 10, 10, 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