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            3, 4, 3, 4, 3, 2, 4, 1, 1, 2, 4, 3, 4, 4, 1, 1, 2, 1, 2, 3, 4, 4, 4, 3, 2, 3, 2, 3, 3, 1, 4, 4, 1, 3, 1, 2, 4, 4, 1, 2, 4, 4, 2, 3, 3, 2, 2, 1, 2, 1, 2, 2, 2, 2, 3, 4, 2, 4, 4, 3, 4, 4, 1, 3, 2, 1, 1, 3, 4, 1, 3, 2, 4, 4, 4, 4, 3, 3, 3, 4, 2, 4, 3, 2, 3, 2, 2, 3, 4, 4, 4, 4, 4, 3, 4, 3, 2, 2, 4, 4,
            2, 1, 4, 1, 2, 2, 4, 1, 1, 4, 1, 4, 1, 1, 3, 1, 4, 4, 4, 2, 2, 3, 4, 3, 4, 4, 3, 1, 4, 3, 4, 3, 2, 3, 4, 2, 4, 3, 3, 1, 3, 3, 3, 2, 1, 3, 4, 1, 1, 1, 2, 1, 2, 3, 1, 3, 1, 1, 1, 4, 2, 3, 4, 1, 2, 3, 2, 2, 2, 1, 3, 4, 4, 2, 4, 4, 1, 4, 3, 3, 4, 3, 4, 4, 2, 1, 1, 4, 1, 1, 3, 1, 3, 1, 2, 1, 4, 3, 4, 3,
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            4, 4, 1, 3, 1, 3, 3, 4, 3, 3, 4, 4, 2, 2, 4, 2, 3, 3, 4, 2, 1, 1, 4, 3, 4, 4, 4, 1, 1, 3, 3, 2, 4, 4, 1, 4, 1, 2, 4, 2, 1, 4, 1, 2, 1, 3, 3, 1, 1, 4, 4, 1, 2, 4, 1, 2, 4, 4, 2, 1, 3, 3, 2, 2, 1, 3, 3, 1, 3, 3, 4, 2, 1, 4, 3, 4, 3, 4, 4, 1, 1, 1, 4, 1, 4, 2, 4, 1, 2, 3, 3, 4, 3, 4, 4, 3, 1, 2, 4, 3,
            3, 4, 1, 1, 4, 3, 4, 2, 4, 1, 3, 2, 3, 1, 4, 2, 4, 3, 4, 4, 2, 2, 3, 2, 3, 1, 2, 2, 4, 2, 1, 3, 3, 1, 4, 3, 2, 4, 1, 1, 2, 4, 4, 1, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 2, 3, 3, 4, 3, 3, 1, 2, 1, 3, 4, 3, 3, 1, 2, 2, 1, 1, 3, 4, 3, 4, 3, 4, 1, 1, 3, 1, 1, 3, 1, 1, 4, 1, 1, 4, 4, 1, 2, 1, 4, 4, 1, 1, 3,
            3, 1, 4, 1, 1, 3, 1, 2, 3, 1, 3, 2, 3, 4, 3, 4, 2, 2, 3, 4, 2, 1, 4, 3, 2, 2, 3, 3, 2, 2, 4, 4, 3, 4, 1, 1, 4, 3, 1, 2, 4, 2, 4, 3, 2, 2, 2, 3, 1, 3, 3, 2, 4, 4, 2, 1, 2, 2, 2, 1, 4, 1, 2, 1, 1, 2, 4, 3, 1, 1, 2, 2, 1, 1, 3, 3, 4, 2, 1, 3, 1, 4, 4, 4, 4, 1, 4, 3, 3, 2, 1, 1, 4, 4, 3, 2, 1, 4, 2, 4,
            1, 4, 2, 4, 4, 3, 3, 3, 1, 3, 3, 1, 2, 3, 4, 2, 2, 2, 1, 3, 4, 2, 4, 3, 4, 1, 1, 1, 3, 3, 1, 2, 4, 4, 3, 2, 4, 4, 4, 1, 4, 3, 4, 3, 3, 3, 4, 1, 4, 4, 2, 3, 1, 1, 3, 4, 4, 3, 2, 3, 3, 3, 2, 2, 2, 3, 3, 3, 2, 4, 2, 3, 4, 3, 4, 4, 3, 3, 1, 2, 3, 3, 1, 1, 4, 3, 4, 4, 4, 1, 1, 2, 2, 2, 2, 3, 4, 4, 3, 3,
            2, 2, 3, 1, 1, 2, 2, 1, 4, 4, 3, 3, 4, 4, 2, 3, 4, 1, 2, 4, 4, 2, 2, 1, 2, 4, 4, 2, 1, 1, 3, 2, 1, 2, 2, 1, 4, 2, 3, 2, 3, 3, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 3, 1, 3, 4, 2, 4, 2, 3, 2, 2, 4, 1, 1, 3, 2, 1, 3, 3, 1, 1, 3, 2, 3, 2, 4, 2, 3, 4, 4, 1, 2, 1, 1, 4, 2, 2, 1, 3, 3, 4, 1, 3, 4, 2, 3, 3,
            3, 3, 2, 1, 2, 3, 4, 2, 1, 4, 4, 2, 3, 4, 3, 2, 2, 4, 1, 4, 1, 2, 4, 1, 1, 3, 3, 4, 4, 2, 2, 3, 1, 2, 4, 1, 2, 1, 2, 2, 1, 3, 4, 3, 4, 2, 4, 1, 3, 4, 1, 3, 2, 1, 4, 2, 3, 2, 3, 2, 2, 4, 1, 3, 2, 4, 2, 2, 2, 2, 3, 4, 3, 2, 3, 1, 3, 2, 3, 2, 2, 4, 4, 1, 4, 4, 3, 3, 2, 3, 1, 4, 4, 4, 3, 1, 2, 4, 3, 4,
            3, 3, 1, 3, 3, 4, 4, 3, 3, 2, 4, 2, 1, 2, 4, 4, 3, 4, 2, 2, 2, 4, 1, 1, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 3, 1, 4, 3, 3, 4, 3, 3, 4, 1, 4, 2, 2, 1, 1, 1, 2, 3, 4, 2, 2, 3, 1, 2, 1, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 4, 2, 1, 3, 4, 2, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 2, 2, 3, 1, 2, 2,
            2, 4, 1, 1, 2, 4, 2, 1, 3, 2, 1, 2, 2, 4, 2, 4, 4, 1, 4, 4, 2, 3, 4, 2, 2, 2, 2, 1, 4, 4, 3, 1, 3, 2, 1, 4, 1, 3, 4, 3, 3, 4, 3, 4, 4, 1, 1, 1, 4, 2, 1, 1, 4, 3, 2, 2, 1, 2, 4, 1, 4, 3, 3, 3, 2, 3, 2, 4, 2, 2, 4, 1, 4, 3, 1, 1, 3, 2, 4, 1, 4, 3, 3, 4, 2, 2, 2, 2, 4, 4, 3, 1, 1, 4, 4, 1, 3, 3, 1, 4,
            1, 1, 4, 2, 3, 3, 3, 2, 4, 1, 4, 1, 2, 1, 4, 4, 3, 2, 3, 3, 3, 1, 4, 4, 4, 1, 1, 4, 3, 2, 3, 2, 3, 2, 2, 4, 1, 3, 2, 1, 4, 2, 2, 4, 3, 1, 4, 1, 2, 2, 3, 3, 4, 2, 2, 4, 1, 3, 1, 2, 1, 1, 3, 2, 1, 1, 4, 1, 2, 3, 1, 2, 2, 1, 3, 3, 1, 1, 1, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 4, 1, 3, 4, 2, 1, 2, 1, 4, 1, 3,
            4, 1, 4, 2, 1, 2, 3, 3, 3, 2, 3, 3, 1, 3, 1, 4, 3, 1, 2, 2, 1, 1, 3, 1, 2, 4, 4, 2, 3, 1, 3, 3, 4, 1, 3, 4, 3, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 1, 1, 2, 4, 3, 4, 3, 1, 4, 2, 1, 1, 3, 2, 4, 2, 2, 4, 2, 1, 3, 4, 1, 2, 4, 4, 4, 4, 1, 2, 4, 2, 2, 2, 4, 4, 3, 1, 3, 3, 3, 3, 2, 1, 2, 2, 3, 3, 4, 3, 3,
            3, 4, 3, 2, 2, 4, 3, 4, 2, 4, 3, 3, 4, 1, 2, 2, 4, 1, 4, 3, 4, 4, 3, 3, 4, 3, 2, 2, 2, 1, 4, 3, 3, 3, 3, 1, 2, 4, 3, 1, 4, 2, 1, 2, 3, 3, 2, 2, 1, 3, 1, 3, 1, 2, 3, 4, 2, 4, 2, 4, 1, 4, 4, 3, 3, 4, 1, 2, 2, 2, 2, 1, 2, 3, 2, 4, 2, 2, 1, 4, 3, 1, 2, 4, 2, 1, 4, 2, 2, 1, 1, 2, 1, 2, 4, 2, 2, 3, 4, 3,
            2, 2, 4, 4, 1, 1, 3, 1, 1, 2, 1, 1, 4, 3, 4, 4, 2, 3, 2, 4, 1, 4, 4, 3, 4, 1, 1, 1, 1, 1, 2, 1, 4, 3, 3, 3, 1, 2, 4, 2, 2, 3, 2, 1, 3, 2, 1, 3, 4, 3, 4, 3, 4, 1, 4, 1, 4, 2, 2, 1, 4, 3, 4, 3, 2, 2, 1, 2, 3, 4, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 4, 2, 2, 2, 4, 2, 3, 3, 2, 1, 2, 3, 4, 4, 2, 4, 4, 3, 2, 1,
            4, 2, 3, 1, 4, 1, 2, 3, 3, 1, 2, 3, 1, 4, 4, 4, 1, 3, 1, 3, 1, 4, 2, 1, 2, 1, 3, 1, 4, 4, 4, 2, 1, 1, 4, 4, 2, 2, 1, 4, 3, 4, 3, 3, 3, 3, 4, 2, 2, 1, 3, 1, 1, 4, 3, 1, 3, 4, 2, 4, 3, 4, 3, 2, 3, 4, 1, 4, 2, 3, 3, 3, 2, 3, 3, 1, 2, 1, 4, 1, 2, 1, 3, 4, 3, 4, 3, 3, 4, 1, 3, 2, 4, 2, 2, 3, 3, 1, 4, 3,
            2, 4, 3, 3, 1, 4, 1, 3, 2, 4, 3, 4, 3, 1, 4, 2, 2, 4, 3, 3, 4, 3, 4, 3, 4, 4, 1, 2, 4, 3, 2, 3, 4, 1, 2, 2, 1, 1, 4, 3, 3, 2, 2, 1, 3, 4, 3, 1, 4, 2, 2, 1, 2, 3, 2, 1, 3, 1, 1, 4, 2, 2, 1, 4, 2, 3, 2, 2, 4, 3, 4, 3, 4, 2, 2, 4, 1, 3, 2, 3, 4, 2, 1, 1, 3, 1, 1, 1, 4, 1, 4, 1, 3, 1, 4, 3, 4, 4, 3, 3,
            4, 3, 3, 2, 2, 2, 3, 2, 2, 4, 3, 1, 2, 3, 2, 4, 1, 3, 2, 1, 4, 4, 2, 1, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 1, 4, 3, 3, 3, 2, 1, 1, 4, 4, 1, 1, 1, 1, 2, 3, 2, 2, 1, 3, 4, 2, 4, 4, 1, 2, 3, 2, 4, 1, 2, 2, 3, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 4, 4, 4, 3, 3, 4, 4, 4, 4, 1, 4, 1, 3, 1, 1, 4, 3, 2, 3, 3, 4, 1,
            3, 3, 1, 3, 3, 1, 1, 1, 4, 3, 3, 1, 3, 4, 2, 3, 4, 2, 4, 2, 1, 3, 1, 1, 2, 2, 3, 3, 3, 4, 4, 3, 3, 2, 3, 2, 1, 2, 3, 3, 4, 3, 2, 3, 3, 3, 4, 1, 3, 1, 3, 2, 3, 2, 3, 4, 1, 1, 1, 2, 4, 1, 1, 4, 2, 3, 1, 2, 3, 4, 3, 3, 4, 1, 1, 2, 3, 4, 2, 3, 3, 2, 1, 2, 2, 2, 2, 4, 2, 3, 1, 2, 1, 3, 4, 1, 1, 2, 2, 1,
            4, 1, 4, 4, 1, 4, 1, 2, 4, 4, 3, 2, 3, 1, 3, 4, 2, 2, 3, 2, 2, 2, 4, 1, 1, 1, 1, 3, 3, 4, 3, 1, 3, 3, 3, 4, 4, 1, 1, 2, 2, 2, 3, 1, 4, 1, 3, 3, 3, 3, 3, 4, 4, 1, 3, 4, 4, 4, 3, 1, 3, 1, 1, 1, 3, 2, 3, 4, 3, 2, 1, 1, 1, 4, 4, 1, 3, 2, 4, 2, 3, 4, 1, 3, 1, 4, 2, 4, 1, 3, 1, 4, 3, 2, 2, 2, 3, 2, 2, 3,
            2, 2, 4, 1, 2, 1, 3, 2, 4, 2, 2, 1, 2, 2, 1, 2, 4, 3, 4, 2, 3, 3, 4, 3, 2, 2, 4, 3, 2, 2, 2, 1, 2, 1, 3, 4, 2, 1, 2, 1, 1, 3, 2, 2, 3, 1, 3, 4, 1, 2, 4, 3, 3, 4, 4, 4, 4, 3, 2, 3, 4, 3, 3, 3, 2, 1, 2, 3, 4, 4, 2, 4, 4, 3, 2, 1, 4, 1, 4, 4, 4, 4, 2, 3, 2, 3, 1, 4, 3, 2, 3, 4, 1, 2, 3, 4, 2, 4, 1, 3,
            1, 1, 3, 1, 4, 3, 2, 3, 3, 3, 2, 2, 1, 3, 4, 3, 2, 1, 4, 4, 4, 2, 4, 4, 2, 3, 4, 1, 4, 2, 2, 1, 1, 3, 4, 3, 4, 2, 2, 4, 4, 2, 3, 4, 4, 2, 3, 2, 2, 1, 1, 1, 4, 1, 2, 2, 4, 2, 3, 4, 2, 4, 1, 2, 3, 4, 2, 1, 3, 4, 2, 2, 3, 3, 1, 3, 3, 3, 3, 1, 4, 3, 1, 4, 1, 4, 1, 4, 3, 2, 1, 2, 1, 3, 3, 3, 1, 1, 4, 4,
            4, 2, 1, 2, 4, 3, 2, 4, 3, 1, 2, 2, 2, 1, 2, 3, 2, 1, 2, 1, 1, 2, 4, 2, 4, 2, 4, 2, 2, 1, 3, 3, 3, 2, 1, 4, 3, 2, 4, 4, 4, 1, 1, 4, 4, 3, 2, 1, 3, 1, 2, 3, 4, 4, 3, 2, 1, 1, 1, 4, 4, 1, 4, 1, 4, 4, 2, 1, 1, 4, 4, 2, 2, 3, 1, 2, 4, 4, 2, 4, 3, 1, 3, 3, 4, 1, 2, 2, 2, 2, 2, 4, 4, 3, 3, 1, 3, 1, 4, 2,
            3, 1, 4, 2, 1, 3, 4, 4, 3, 1, 3, 3, 1, 1, 1, 4, 4, 2, 2, 3, 3, 4, 2, 1, 1, 1, 4, 2, 4, 1, 2, 1, 4, 4, 2, 4, 2, 2, 4, 3, 1, 4, 3, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 4, 3, 1, 3, 4, 3, 2, 4, 2, 1, 2, 3, 2, 1, 4, 3, 4, 3, 1, 3, 1, 1, 3, 4, 2, 4, 2, 1, 2, 2, 2, 1, 3, 2, 1, 3, 3, 2, 1, 3, 3, 3, 3, 1, 3, 1, 1,
            3, 1, 4, 3, 2, 4, 4, 2, 2, 4, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 4, 2, 1, 2, 1, 4, 1, 3, 4, 3, 1, 1, 2, 4, 3, 1, 1, 1, 4, 1, 2, 3, 2, 2, 2, 3, 4, 1, 2, 1, 2, 1, 2, 3, 4, 1, 2, 2, 2, 4, 4, 2, 2, 1, 4, 4, 3, 4, 4, 3, 4, 2, 3, 4, 3, 4, 4, 2, 2, 4, 2, 4, 4, 4, 4, 3, 2, 4, 2, 3, 4, 1, 1, 2, 4, 1, 2, 2, 3, 3,
            3, 3, 2, 4, 4, 1, 3, 1, 4, 3, 1, 3, 4, 4, 1, 4, 4, 1, 2, 4, 4, 3, 2, 2, 3, 2, 1, 2, 2, 3, 1, 1, 2, 4, 4, 3, 2, 2, 1, 2, 4, 3, 3, 1, 1, 3, 3, 2, 4, 1, 3, 1, 4, 1, 2, 2, 4, 2, 3, 1, 2, 3, 1, 4, 3, 4, 4, 4, 2, 4, 4, 4, 1, 4, 1, 1, 1, 4, 1, 4, 2, 3, 3, 3, 2, 2, 1, 2, 2, 1, 1, 3, 3, 3, 1, 1, 2, 1, 2, 4,
            2, 4, 2, 4, 1, 3, 4, 3, 3, 3, 2, 4, 2, 3, 4, 4, 3, 2, 1, 4, 2, 1, 4, 2, 4, 3, 1, 2, 3, 3, 4, 1, 3, 3, 4, 3, 2, 1, 4, 2, 1, 4, 1, 1, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 4, 1, 3, 4, 1, 4, 4, 4, 2, 2, 3, 1, 1, 2, 4, 4, 4, 2, 3, 4, 4, 3, 4, 1, 4, 4, 3, 3, 4, 4, 4, 2, 3, 2, 2, 1, 4, 4, 1, 1, 4, 3, 1, 2, 4, 1,
            2, 3, 2, 2, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 1, 3, 1, 4, 2, 4, 3, 1, 1, 2, 1, 2, 3, 1, 4, 2, 3, 4, 3, 3, 2, 3, 3, 1, 2, 4, 2, 1, 3, 4, 4, 3, 4, 1, 1, 3, 2, 2, 4, 4, 4, 2, 4, 3, 1, 1, 4, 2, 2, 2, 1, 3, 2, 3, 3, 3, 4, 3, 2, 1, 4, 4, 3, 3, 1, 2, 1, 1, 1, 3, 2, 4, 4, 4, 4, 3, 4, 1, 4, 1, 4, 4, 4, 2, 3, 4,
            3, 1, 2, 4, 2, 2, 2, 4, 1, 1, 3, 2, 4, 3, 1, 2, 2, 2, 4, 4, 3, 3, 1, 1, 1, 1, 2, 3, 3, 2, 1, 3, 1, 3, 4, 3, 3, 1, 3, 4, 1, 1, 2, 1, 4, 2, 1, 4, 1, 4, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 4, 4, 3, 4, 4, 1, 3, 1, 1, 3, 2, 3, 1, 1, 3, 2, 4, 4, 4, 4, 2, 4, 1, 2, 2, 2, 1, 3, 1, 2, 4, 1, 1, 2, 2, 3, 2, 4,
            3, 3, 1, 4, 2, 1, 3, 4, 2, 2, 2, 2, 1, 1, 3, 4, 2, 2, 1, 4, 1, 4, 3, 1, 4, 4, 4, 1, 2, 2, 3, 4, 3, 4, 2, 1, 2, 3, 3, 4, 1, 1, 2, 4, 1, 3, 2, 3, 4, 3, 2, 2, 3, 4, 4, 4, 1, 1, 3, 1, 3, 2, 1, 4, 2, 4, 3, 3, 1, 1, 4, 3, 3, 3, 3, 1, 1, 1, 1, 3, 4, 1, 1, 2, 4, 3, 1, 1, 3, 2, 4, 1, 3, 2, 4, 2, 1, 2, 2, 2,
            4, 3, 3, 1, 1, 1, 2, 3, 2, 4, 1, 2, 4, 4, 2, 4, 1, 1, 2, 2, 1, 3, 3, 3, 3, 1, 4, 2, 4, 3, 3, 2, 4, 3, 1, 1, 1, 2, 4, 2, 3, 3, 1, 2, 2, 4, 3, 1, 3, 4, 3, 4, 4, 3, 3, 2, 1, 1, 1, 3, 4, 1, 4, 3, 3, 4, 2, 4, 2, 3, 3, 4, 2, 1, 1, 3, 3, 4, 4, 3, 1, 4, 3, 2, 1, 2, 3, 3, 1, 4, 1, 4, 4, 2, 2, 4, 1, 1, 3, 4,
            3, 2, 2, 1, 2, 4, 3, 2, 3, 4, 2, 2, 3, 2, 1, 1, 3, 2, 3, 1, 4, 3, 3, 3, 2, 3, 4, 2, 1, 4, 4, 4, 3, 4, 2, 1, 3, 2, 2, 3, 4, 3, 3, 2, 1, 2, 2, 1, 1, 2, 1, 4, 2, 2, 3, 1, 3, 2, 2, 2, 2, 3, 4, 1, 3, 4, 4, 2, 4, 3, 3, 4, 3, 4, 4, 1, 2, 4, 4, 3, 4, 4, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 3, 1, 2, 2, 2, 3, 1, 1,
            1, 3, 1, 4, 1, 1, 4, 4, 2, 4, 2, 2, 3, 2, 1, 2, 4, 1, 4, 2, 2, 4, 1, 1, 1, 4, 4, 4, 4, 1, 2, 3, 1, 4, 3, 3, 3, 4, 2, 2, 3, 1, 1, 2, 2, 1, 3, 4, 4, 4, 1, 4, 2, 4, 1, 1, 1, 1, 3, 2, 1, 4, 3, 3, 1, 1, 2, 4, 3, 3, 3, 1, 2, 4, 2, 1, 3, 2, 3, 3, 3, 3, 1, 2, 3, 2, 4, 2, 4, 4, 2, 3, 2, 3, 3, 2, 4, 2, 1, 3,
            4, 3, 4, 2, 4, 3, 4, 2, 2, 2, 1, 2, 4, 4, 4, 2, 2, 3, 1, 4, 3, 4, 1, 2, 3, 3, 4, 4, 4, 4, 3, 1, 1, 1, 1, 3, 1, 4, 3, 3, 4, 3, 2, 1, 2, 2, 3, 4, 4, 4, 3, 1, 2, 4, 3, 4, 4, 1, 3, 4, 2, 4, 4, 2, 4, 1, 4, 4, 3, 1, 4, 2, 1, 4, 4, 2, 4, 3, 4, 1, 2, 3, 4, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 3, 4, 3, 2, 4,
            4, 1, 1, 2, 3, 4, 2, 3, 1, 2, 3, 4, 3, 2, 2, 1, 3, 1, 4, 4, 4, 2, 1, 4, 2, 4, 3, 3, 4, 1, 2, 2, 1, 4, 3, 4, 4, 3, 2, 1, 2, 2, 3, 2, 3, 4, 2, 4, 4, 4, 4, 3, 1, 4, 4, 1, 1, 4, 2, 2, 2, 4, 3, 2, 4, 3, 1, 3, 4, 2, 2, 4, 3, 2, 4, 2, 4, 3, 2, 2, 4, 2, 3, 4, 1, 2, 3, 2, 4, 2, 4, 4, 4, 4, 3, 1, 4, 4, 1, 4,
            3, 1, 2, 1, 3, 2, 4, 1, 2, 1, 2, 2, 2, 1, 3, 3, 3, 4, 2, 2, 1, 3, 1, 4, 3, 4, 4, 1, 3, 1, 2, 4, 1, 4, 3, 1, 4, 3, 2, 1, 3, 1, 3, 2, 1, 1, 3, 2, 4, 4, 2, 1, 1, 2, 4, 4, 3, 2, 3, 2, 1, 1, 1, 3, 1, 1, 1, 2, 2, 1, 3, 3, 2, 4, 2, 4, 4, 3, 1, 4, 1, 4, 4, 4, 3, 1, 3, 1, 3, 2, 4, 2, 4, 1, 1, 4, 3, 2, 1, 4,
            2, 3, 1, 3, 3, 1, 2, 3, 3, 3, 3, 1, 2, 4, 3, 3, 3, 4, 2, 3, 4, 2, 2, 4, 2, 3, 3, 1, 1, 3, 2, 3, 3, 4, 1, 3, 2, 3, 3, 2, 2, 1, 2, 1, 4, 3, 4, 1, 3, 4, 1, 1, 2, 1, 1, 1, 4, 4, 2, 2, 3, 1, 2, 2, 4, 1, 1, 1, 2, 4, 2, 4, 4, 3, 2, 4, 4, 3, 3, 4, 1, 2, 4, 1, 3, 1, 1, 4, 4, 3, 4, 1, 3, 1, 1, 1, 3, 1, 4, 2,
            2, 1, 4, 1, 3, 2, 1, 2, 3, 1, 4, 2, 3, 4, 2, 2, 4, 2, 3, 4, 4, 1, 3, 2, 4, 1, 4, 3, 1, 1, 1, 2, 2, 1, 3, 2, 1, 4, 2, 4, 2, 1, 1, 2, 4, 3, 2, 2, 1, 2, 1, 4, 3, 1, 3, 4, 1, 2, 2, 2, 1, 1, 4, 4, 4, 3, 3, 1, 2, 1, 4, 4, 1, 1, 1, 3, 1, 1, 3, 3, 4, 1, 2, 1, 3, 4, 3, 3, 3, 1, 4, 4, 3, 4, 2, 4, 1, 4, 2, 1,
            4, 3, 3, 1, 3, 3, 3, 3, 3, 1, 4, 4, 4, 3, 2, 1, 1, 2, 2, 4, 1, 1, 2, 3, 1, 3, 2, 1, 2, 4, 3, 4, 3, 3, 1, 1, 3, 4, 3, 1, 2, 3, 4, 3, 2, 3, 2, 3, 1, 2, 1, 1, 3, 1, 3, 3, 4, 2, 4, 2, 1, 4, 2, 1, 4, 3, 1, 4, 3, 4, 3, 1, 4, 3, 3, 3, 1, 4, 2, 2, 4, 3, 1, 4, 1, 1, 2, 4, 4, 3, 2, 3, 1, 3, 2, 4, 4, 4, 3, 1,
            3, 3, 3, 3, 3, 4, 1, 2, 1, 4, 3, 1, 4, 3, 4, 4, 3, 1, 1, 1, 1, 1, 4, 1, 3, 1, 3, 1, 3, 2, 1, 3, 2, 2, 1, 1, 1, 3, 3, 3, 2, 3, 4, 3, 1, 4, 4, 4, 2, 4, 3, 3, 4, 1, 2, 3, 4, 3, 3, 3, 1, 3, 4, 4, 4, 3, 4, 3, 2, 3, 3, 1, 2, 3, 4, 4, 1, 4, 3, 4, 4, 2, 3, 4, 2, 3, 1, 4, 1, 1, 2, 2, 1, 2, 4, 4, 3, 1, 2, 4,
            1, 1, 4, 2, 3, 1, 4, 2, 1, 1, 2, 3, 3, 3, 1, 4, 4, 3, 1, 4, 4, 4, 2, 3, 4, 4, 2, 3, 2, 4, 4, 2, 3, 2, 4, 1, 2, 4, 1, 1, 1, 3, 1, 1, 1, 2, 3, 4, 2, 4, 1, 2, 3, 4, 1, 2, 2, 3, 1, 1, 1, 4, 2, 1, 2, 3, 1, 3, 3, 2, 4, 3, 2, 1, 3, 2, 1, 3, 4, 4, 3, 3, 2, 4, 3, 1, 3, 1, 1, 3, 3, 1, 2, 2, 4, 1, 4, 3, 1, 2,
            4, 2, 2, 4, 1, 1, 1, 1, 2, 3, 4, 3, 4, 1, 2, 2, 1, 3, 2, 2, 3, 1, 2, 3, 1, 2, 2, 3, 3, 1, 4, 3, 2, 2, 4, 2, 2, 1, 1, 3, 4, 2, 1, 1, 3, 2, 3, 1, 2, 2, 4, 1, 3, 3, 3, 4, 2, 2, 4, 4, 3, 1, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 4, 1, 4, 3, 4, 3, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 2, 4, 4, 1, 3, 2, 4, 4, 3, 1, 1, 1,
            3, 2, 1, 3, 2, 1, 4, 2, 1, 3, 1, 2, 2, 4, 1, 1, 3, 3, 4, 3, 4, 2, 3, 2, 2, 1, 2, 1, 3, 2, 4, 2, 3, 4, 4, 3, 2, 4, 3, 2, 3, 4, 4, 1, 1, 4, 4, 4, 1, 1, 1, 3, 3, 3, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 3, 4, 1, 2, 1, 2, 1, 1, 2, 3, 1, 4, 4, 1, 3, 2, 2, 4, 4, 3, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 4, 1, 1, 4, 3, 4,
            1, 2, 4, 4, 3, 1, 4, 2, 4, 3, 4, 2, 1, 1, 1, 3, 1, 2, 1, 4, 2, 1, 4, 3, 3, 4, 4, 4, 1, 3, 2, 1, 2, 2, 1, 2, 3, 1, 3, 3, 3, 3, 2, 1, 1, 2, 4, 4, 2, 3, 3, 3, 3, 4, 4, 4, 4, 1, 3, 3, 3, 2, 1, 1, 3, 4, 2, 3, 4, 2, 4, 1, 3, 4, 1, 3, 2, 1, 3, 2, 2, 4, 2, 3, 2, 3, 3, 4, 1, 3, 3, 2, 2, 3, 1, 2, 3, 2, 3, 1,
            3, 4, 2, 3, 4, 1, 2, 4, 4, 4, 1, 2, 1, 4, 2, 3, 4, 3, 2, 2, 3, 1, 2, 1, 2, 4, 3, 4, 2, 2, 3, 4, 3, 4, 4, 1, 4, 1, 4, 3, 3, 1, 2, 1, 2, 2, 2, 4, 4, 1, 1, 4, 3, 1, 2, 2, 3, 1, 4, 1, 1, 1, 2, 2, 1, 4, 3, 4, 1, 4, 2, 1, 2, 1, 4, 1, 2, 1, 3, 2, 3, 3, 4, 4, 4, 3, 4, 1, 4, 4, 1, 4, 3, 3, 3, 1, 1, 3, 1, 1,
            2, 3, 2, 4, 3, 4, 4, 1, 4, 2, 4, 2, 1, 3, 4, 1, 2, 2, 3, 3, 2, 1, 3, 1, 4, 3, 1, 4, 2, 3, 2, 4, 1, 2, 1, 4, 4, 3, 3, 3, 1, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1, 4, 4, 2, 2, 4, 3, 4, 4, 3, 4, 1, 4, 4, 3, 4, 4, 1, 1, 2, 1, 3, 1, 2, 4, 3, 1, 4, 3, 1, 3, 4, 1, 2, 3, 3, 2, 4, 3, 1, 4, 2, 4, 1, 3, 1, 1, 2,
            3, 1, 4, 4, 4, 1, 1, 2, 1, 3, 2, 3, 3, 1, 1, 4, 1, 2, 1, 2, 1, 3, 3, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 4, 1, 2, 4, 3, 2, 2, 1, 4, 4, 2, 2, 4, 4, 4, 1, 3, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 3, 3, 4, 2, 3, 4, 3, 4, 2, 1, 1, 1, 4, 3, 2, 4, 1, 2, 2, 4, 1, 1, 4, 2, 4, 4, 4, 4, 2, 2, 4, 2, 1, 1, 4,
            1, 4, 4, 1, 3, 4, 4, 4, 3, 2, 3, 1, 1, 3, 4, 2, 3, 1, 3, 4, 2, 1, 1, 3, 1, 2, 4, 3, 2, 4, 3, 4, 1, 1, 2, 4, 1, 4, 1, 1, 3, 3, 2, 1, 3, 1, 4, 1, 4, 1, 1, 1, 2, 2, 4, 2, 2, 3, 2, 4, 1, 3, 4, 4, 1, 2, 2, 1, 2, 3, 1, 4, 4, 1, 4, 3, 2, 4, 2, 4, 3, 1, 2, 4, 3, 2, 3, 3, 4, 4, 3, 4, 4, 2, 2, 3, 1, 3, 2, 2,
            4, 1, 1, 1, 3, 1, 1, 1, 1, 2, 3, 1, 4, 3, 4, 3, 2, 4, 1, 1, 4, 2, 1, 2, 1, 2, 1, 2, 1, 3, 2, 1, 1, 2, 4, 2, 1, 1, 4, 1, 4, 1, 1, 4, 1, 1, 1, 4, 3, 1, 4, 3, 1, 4, 1, 4, 1, 2, 3, 3, 4, 1, 3, 3, 4, 1, 2, 1, 2, 2, 3, 2, 4, 3, 1, 3, 2, 2, 3, 3, 3, 4, 1, 2, 3, 4, 2, 1, 1, 3, 4, 3, 4, 1, 3, 2, 4, 4, 1, 3,
            4, 2, 3, 4, 1, 2, 1, 4, 4, 1, 3, 4, 4, 4, 3, 4, 4, 1, 3, 1, 4, 1, 2, 4, 2, 2, 2, 4, 1, 2, 2, 1, 2, 4, 2, 4, 3, 4, 2, 4, 3, 1, 3, 1, 3, 2, 1, 2, 4, 4, 2, 2, 4, 4, 4, 4, 1, 2, 1, 4, 2, 3, 2, 1, 3, 4, 1, 4, 1, 3, 4, 1, 4, 3, 1, 1, 3, 2, 1, 3, 1, 1, 4, 3, 4, 2, 3, 4, 2, 4, 2, 2, 2, 4, 2, 3, 3, 1, 2, 2,
            3, 4, 2, 4, 1, 4, 4, 2, 2, 4, 2, 4, 2, 3, 3, 2, 4, 4, 2, 1, 2, 4, 2, 2, 1, 3, 2, 1, 2, 4, 2, 1, 2, 2, 1, 4, 3, 1, 2, 2, 2, 3, 2, 3, 3, 1, 4, 4, 2, 2, 3, 2, 3, 4, 1, 3, 3, 1, 2, 2, 4, 2, 4, 3, 3, 4, 4, 1, 1, 1, 2, 3, 3, 4, 1, 3, 3, 3, 1, 1, 4, 3, 3, 1, 2, 1, 2, 1, 1, 3, 1, 4, 4, 3, 3, 4, 4, 2, 2, 4,
            3, 4, 1, 2, 2, 4, 1, 1, 3, 4, 3, 1, 1, 1, 1, 2, 2, 4, 3, 3, 2, 3, 1, 1, 3, 2, 4, 4, 2, 3, 2, 1, 1, 1, 1, 2, 2, 4, 3, 1, 1, 4, 3, 1, 1, 3, 1, 2, 3, 4, 4, 3, 2, 2, 4, 4, 4, 3, 1, 1, 1, 3, 1, 4, 3, 4, 2, 4, 2, 3, 4, 1, 4, 3, 1, 3, 3, 2, 4, 4, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 4, 2, 4, 3, 2, 1,
            4, 3, 3, 1, 2, 4, 4, 2, 2, 3, 1, 3, 1, 2, 4, 3, 3, 1, 1, 2, 2, 2, 1, 4, 4, 4, 4, 1, 3, 4, 2, 3, 1, 1, 2, 4, 2, 1, 2, 3, 2, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 4, 1, 1, 3, 4, 3, 2, 4, 1, 1, 2, 4, 1, 2, 3, 1, 2, 3, 1, 4, 2, 1, 2, 1, 4, 1, 3, 2, 4, 2, 2, 1, 3, 2, 4, 4, 2, 2, 1, 4, 4, 4, 1, 3, 4, 1, 1, 2, 1,
            2, 4, 3, 1, 4, 4, 2, 2, 1, 4, 1, 1, 2, 3, 4, 3, 4, 1, 4, 3, 1, 1, 4, 3, 1, 4, 4, 2, 2, 3, 1, 3, 1, 2, 4, 3, 3, 4, 4, 4, 3, 4, 3, 3, 2, 2, 4, 1, 3, 3, 2, 2, 3, 1, 3, 3, 2, 4, 3, 2, 3, 4, 3, 1, 2, 2, 4, 2, 4, 3, 4, 1, 1, 3, 3, 1, 1, 1, 2, 1, 4, 4, 1, 3, 1, 2, 4, 4, 1, 2, 2, 2, 4, 2, 3, 1, 2, 1, 3, 1,
            4, 4, 3, 3, 2, 4, 3, 1, 2, 2, 2, 4, 4, 2, 3, 3, 4, 2, 3, 4, 1, 4, 2, 3, 1, 2, 2, 2, 4, 4, 4, 3, 1, 1, 2, 4, 1, 3, 4, 4, 1, 3, 4, 2, 4, 4, 1, 1, 4, 4, 1, 3, 1, 3, 2, 2, 1, 4, 2, 2, 3, 4, 4, 4, 2, 3, 3, 2, 3, 4, 3, 4, 2, 3, 3, 1, 3, 2, 3, 3, 4, 2, 4, 3, 3, 4, 2, 3, 4, 1, 4, 3, 2, 3, 1, 1, 4, 2, 2, 2,
            2, 1, 3, 4, 4, 3, 4, 2, 4, 1, 1, 3, 3, 4, 4, 3, 1, 4, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 2, 1, 1, 2, 2, 4, 1, 1, 3, 4, 4, 1, 4, 2, 4, 1, 2, 2, 1, 2, 1, 1, 4, 1, 3, 3, 1, 2, 1, 3, 1, 4, 1, 3, 2, 3, 2, 3, 4, 1, 2, 1, 2, 2, 4, 2, 2, 2, 2, 3, 4, 1, 3, 4, 1, 2, 4, 4, 4, 3, 3, 2, 1, 1, 2, 2, 4, 4, 1, 4, 2, 1,
            4, 1, 2, 3, 3, 3, 4, 4, 2, 1, 1, 4, 4, 2, 3, 1, 4, 2, 3, 2, 4, 4, 4, 4, 2, 4, 1, 4, 3, 3, 4, 1, 2, 1, 3, 4, 4, 3, 3, 2, 1, 3, 3, 2, 3, 4, 1, 4, 4, 1, 3, 3, 1, 2, 4, 1, 2, 4, 3, 2, 1, 2, 1, 1, 2, 2, 3, 1, 3, 3, 2, 1, 3, 4, 4, 1, 2, 3, 3, 3, 2, 4, 3, 1, 3, 2, 3, 4, 1, 2, 2, 4, 2, 1, 2, 2, 2, 1, 4, 2,
            1, 1, 1, 1, 4, 2, 4, 1, 4, 2, 2, 3, 4, 3, 1, 2, 2, 3, 3, 2, 1, 1, 4, 4, 4, 1, 1, 1, 3, 3, 2, 1, 4, 3, 2, 2, 3, 4, 3, 1, 1, 4, 4, 4, 1, 2, 1, 1, 4, 3, 4, 1, 4, 2, 3, 1, 1, 4, 3, 4, 2, 4, 3, 2, 2, 3, 1, 3, 2, 2, 2, 3, 4, 2, 2, 4, 3, 3, 1, 4, 4, 1, 1, 2, 3, 1, 2, 4, 4, 4, 4, 3, 1, 2, 1, 1, 4, 2, 2, 4,
            1, 2, 4, 4, 4, 3, 1, 1, 4, 1, 3, 1, 4, 3, 1, 2, 1, 1, 1, 3, 4, 2, 2, 4, 3, 2, 4, 4, 2, 4, 2, 3, 1, 3, 1, 2, 2, 1, 2, 1, 3, 4, 2, 4, 3, 3, 2, 3, 1, 3, 2, 3, 4, 4, 4, 3, 4, 2, 4, 1, 4, 4, 3, 1, 3, 2, 1, 4, 2, 1, 3, 3, 1, 4, 1, 3, 4, 4, 3, 4, 4, 1, 4, 4, 1, 2, 4, 4, 3, 3, 4, 1, 2, 1, 4, 3, 4, 4, 1, 2,
            2, 4, 2, 2, 2, 4, 3, 1, 1, 2, 4, 1, 1, 3, 4, 3, 3, 4, 3, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 2, 2, 1, 1, 3, 4, 3, 2, 4, 4, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 3, 2, 2, 4, 1, 4, 4, 2, 3, 4, 4, 4, 1, 1, 2, 1, 1, 3, 2, 4, 2, 4, 1, 2, 4, 3, 1, 4, 1, 4, 1, 2, 1, 3, 3, 1, 3, 1, 2, 2, 1, 2, 1, 3, 4, 3, 2, 2,
            3, 3, 3, 1, 4, 3, 2, 3, 4, 2, 4, 1, 2, 4, 3, 1, 4, 4, 1, 4, 4, 4, 4, 1, 4, 2, 3, 1, 3, 2, 1, 1, 3, 2, 1, 2, 4, 1, 4, 1, 2, 1, 4, 1, 1, 1, 3, 1, 1, 1, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 1, 3, 1, 3, 4, 4, 4, 1, 2, 1, 3, 1, 3, 1, 3, 2, 4, 3, 4, 2, 4, 4, 1, 4, 2, 1, 4, 1, 3, 1, 3, 4, 1, 3, 1, 1, 1, 3, 1,
            4, 3, 4, 1, 1, 3, 3, 4, 2, 4, 1, 4, 2, 3, 3, 2, 1, 3, 3, 4, 4, 4, 3, 2, 1, 2, 1, 2, 3, 1, 4, 1, 2, 4, 4, 4, 1, 2, 4, 1, 3, 3, 3, 4, 2, 1, 4, 2, 2, 1, 2, 3, 2, 1, 2, 1, 3, 3, 1, 1, 4, 2, 1, 4, 2, 2, 2, 4, 1, 2, 2, 2, 1, 4, 4, 2, 2, 4, 3, 4, 1, 4, 2, 4, 4, 4, 4, 2, 3, 2, 3, 1, 1, 2, 2, 2, 1, 4, 3, 4,
            2, 2, 2, 2, 4, 4, 2, 4, 4, 1, 3, 3, 4, 4, 1, 4, 4, 1, 1, 3, 4, 1, 4, 1, 3, 4, 3, 2, 3, 3, 1, 4, 3, 2, 1, 3, 4, 2, 4, 2, 2, 3, 1, 2, 2, 4, 1, 4, 3, 2, 4, 4, 4, 3, 4, 3, 3, 1, 4, 3, 1, 3, 2, 4, 4, 1, 3, 4, 3, 4, 2, 4, 1, 4, 3, 2, 4, 4, 2, 1, 2, 1, 3, 1, 4, 2, 1, 4, 3, 2, 1, 1, 1, 2, 3, 1, 4, 1, 1, 1,
            1, 4, 4, 2, 2, 1, 4, 2, 1, 3, 1, 1, 2, 3, 2, 4, 1, 2, 4, 3, 2, 1, 1, 1, 1, 3, 4, 3, 3, 2, 1, 1, 1, 3, 1, 1, 2, 3, 4, 1, 2, 1, 1, 2, 3, 4, 2, 1, 1, 1, 4, 4, 2, 3, 4, 4, 2, 1, 1, 3, 3, 2, 3, 4, 3, 2, 3, 2, 3, 4, 4, 3, 3, 3, 2, 4, 4, 1, 1, 2, 1, 2, 2, 3, 4, 4, 4, 1, 1, 2, 1, 4, 1, 1, 2, 3, 1, 3, 2, 2,
            3, 1, 4, 4, 2, 1, 4, 1, 4, 4, 3, 4, 1, 2, 3, 1, 4, 3, 4, 4, 2, 3, 2, 2, 3, 2, 4, 1, 1, 4, 3, 2, 3, 4, 1, 2, 1, 2, 1, 4, 1, 1, 1, 4, 2, 3, 4, 1, 3, 3, 2, 2, 1, 3, 2, 3, 4, 4, 3, 2, 3, 1, 2, 4, 1, 2, 3, 1, 2, 3, 2, 3, 2, 2, 1, 4, 1, 4, 4, 3, 3, 4, 3, 3, 3, 4, 1, 2, 3, 2, 1, 1, 2, 1, 2, 4, 3, 3, 2, 1,
            3, 3, 1, 3, 3, 3, 2, 2, 3, 3, 4, 1, 3, 2, 1, 3, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 1, 4, 2, 1, 4, 3, 2, 3, 4, 1, 4, 2, 1, 1, 4, 1, 1, 1, 1, 3, 1, 4, 1, 2, 4, 3, 1, 3, 2, 3, 1, 3, 3, 2, 4, 4, 3, 3, 2, 4, 1, 1, 2, 1, 3, 2, 3, 2, 2, 1, 4, 1, 2, 4, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 3, 1, 3, 1, 2, 1,
            2, 1, 1, 4, 4, 3, 2, 2, 2, 3, 2, 4, 3, 1, 4, 1, 1, 2, 2, 2, 4, 4, 3, 2, 2, 1, 3, 2, 3, 2, 2, 4, 1, 4, 3, 1, 3, 3, 1, 1, 4, 1, 3, 4, 2, 2, 2, 3, 2, 3, 2, 4, 4, 4, 2, 4, 2, 4, 3, 3, 4, 3, 3, 2, 1, 4, 1, 4, 1, 4, 3, 2, 2, 2, 4, 1, 2, 4, 3, 1, 1, 2, 4, 3, 2, 4, 1, 1, 3, 2, 1, 3, 1, 3, 3, 4, 1, 2, 4, 1,
            2, 2, 1, 3, 3, 4, 3, 4, 3, 3, 1, 1, 4, 4, 2, 1, 1, 2, 4, 4, 2, 3, 4, 2, 1, 4, 3, 3, 1, 4, 1, 2, 4, 2, 2, 3, 3, 3, 4, 4, 4, 1, 3, 4, 4, 4, 4, 2, 1, 4, 1, 2, 3, 4, 3, 1, 4, 2, 4, 4, 3, 3, 2, 3, 2, 4, 2, 1, 3, 2, 4, 2, 2, 2, 2, 3, 2, 2, 3, 3, 4, 3, 4, 2, 1, 3, 3, 4, 4, 3, 1, 2, 1, 1, 3, 3, 1, 2, 2, 3,
            2, 3, 4, 4, 4, 3, 4, 3, 3, 3, 2, 2, 1, 2, 4, 1, 2, 4, 4, 2, 4, 4, 1, 1, 3, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 2, 1, 3, 3, 1, 3, 2, 2, 1, 1, 1, 3, 2, 2, 3, 2, 3, 2, 3, 1, 4, 2, 1, 1, 2, 2, 3, 2, 1, 3, 4, 2, 3, 2, 3, 4, 1, 4, 3, 1, 4, 3, 4, 4, 4, 1, 3, 1, 1, 2, 2, 3, 3, 1, 4, 3, 1, 3, 3, 1, 2, 1, 3,
            2, 3, 1, 4, 3, 1, 1, 3, 3, 2, 2, 1, 3, 2, 1, 2, 1, 1, 1, 2, 4, 1, 3, 3, 4, 1, 4, 3, 1, 2, 3, 3, 2, 2, 2, 3, 3, 4, 3, 2, 4, 2, 4, 3, 4, 2, 4, 1, 1, 1, 3, 4, 4, 3, 2, 2, 1, 2, 2, 4, 3, 2, 1, 2, 2, 4, 4, 4, 3, 1, 2, 4, 3, 1, 1, 4, 3, 1, 2, 3, 1, 4, 4, 3, 1, 4, 1, 4, 3, 2, 2, 2, 1, 2, 1, 3, 2, 3, 3, 4,
            1, 2, 3, 3, 2, 1, 3, 1, 2, 3, 4, 2, 1, 3, 3, 4, 4, 2, 2, 3, 1, 2, 4, 3, 1, 4, 4, 1, 3, 4, 3, 4, 3, 3, 3, 4, 2, 3, 1, 2, 2, 1, 1, 4, 4, 4, 1, 3, 1, 1, 1, 4, 4, 2, 1, 2, 3, 4, 3, 1, 2, 3, 3, 4, 1, 1, 4, 1, 1, 3, 4, 3, 2, 2, 3, 4, 2, 3, 3, 3, 1, 4, 3, 3, 4, 3, 3, 3, 1, 4, 1, 4, 4, 4, 2, 2, 1, 1, 1, 2,
            3, 3, 3, 1, 1, 2, 1, 1, 3, 2, 3, 4, 3, 2, 3, 1, 2, 4, 4, 1, 3, 4, 3, 3, 4, 3, 1, 4, 2, 3, 4, 1, 3, 3, 4, 1, 4, 2, 1, 4, 2, 2, 1, 2, 1, 3, 3, 4, 2, 2, 1, 2, 1, 1, 3, 1, 3, 3, 1, 3, 1, 2, 1, 3, 4, 2, 2, 3, 4, 4, 1, 1, 1, 3, 2, 2, 3, 1, 1, 3, 1, 1, 3, 3, 4, 2, 1, 3, 3, 2, 1, 4, 2, 2, 1, 4, 4, 2, 4, 3,
            3, 4, 1, 2, 2, 4, 4, 4, 3, 1, 2, 4, 2, 4, 3, 2, 4, 3, 1, 3, 3, 3, 3, 2, 1, 1, 1, 4, 2, 3, 4, 4, 3, 4, 3, 3, 1, 1, 4, 1, 1, 1, 1, 4, 2, 1, 2, 1, 2, 4, 3, 4, 4, 4, 2, 2, 1, 1, 4, 4, 3, 4, 4, 3, 1, 3, 2, 2, 3, 3, 1, 4, 2, 1, 3, 1, 3, 1, 3, 1, 4, 4, 4, 2, 4, 4, 2, 2, 4, 4, 4, 4, 3, 2, 2, 1, 4, 4, 4, 3,
            4, 4, 1, 1, 4, 2, 2, 4, 4, 3, 1, 3, 1, 4, 4, 4, 4, 4, 1, 3, 1, 4, 4, 4, 1, 1, 4, 3, 1, 3, 4, 2, 1, 4, 1, 2, 2, 4, 4, 1, 1, 4, 4, 1, 1, 4, 4, 2, 2, 4, 3, 1, 2, 2, 1, 2, 4, 2, 4, 1, 4, 4, 3, 1, 1, 2, 3, 2, 4, 3, 4, 1, 3, 2, 4, 3, 1, 1, 4, 3, 3, 4, 3, 1, 1, 2, 4, 1, 1, 3, 1, 2, 4, 1, 4, 1, 3, 1, 2, 3,
            3, 2, 4, 2, 1, 3, 3, 3, 4, 3, 3, 2, 4, 4, 1, 1, 2, 2, 2, 3, 2, 1, 2, 4, 3, 3, 3, 1, 4, 2, 2, 1, 1, 3, 2, 1, 3, 3, 2, 2, 3, 1, 1, 3, 2, 3, 1, 2, 4, 4, 1, 2, 4, 1, 4, 3, 3, 4, 4, 2, 4, 3, 4, 4, 4, 2, 3, 2, 3, 4, 3, 2, 3, 3, 4, 1, 2, 4, 1, 1, 3, 2, 4, 4, 4, 4, 2, 4, 3, 4, 1, 4, 1, 1, 3, 2, 4, 2, 1, 2,
            4, 2, 2, 4, 3, 3, 4, 2, 2, 1, 2, 4, 2, 1, 1, 4, 2, 3, 2, 1, 1, 1, 3, 4, 2, 3, 4, 3, 1, 4, 2, 1, 3, 2, 2, 2, 2, 3, 2, 4, 1, 1, 1, 3, 3, 2, 2, 4, 4, 4, 4, 1, 1, 1, 3, 3, 3, 3, 1, 3, 1, 3, 2, 1, 2, 1, 2, 3, 3, 3, 3, 1, 3, 3, 4, 2, 1, 3, 3, 2, 1, 1, 4, 3, 3, 1, 1, 4, 1, 4, 4, 2, 2, 1, 1, 2, 2, 4, 4, 3,
            1, 4, 1, 1, 1, 3, 3, 1, 2, 3, 1, 3, 4, 4, 1, 4, 2, 2, 2, 2, 1, 4, 3, 4, 4, 3, 2, 1, 4, 1, 4, 4, 2, 3, 4, 1, 2, 3, 2, 1, 3, 4, 3, 3, 3, 3, 4, 2, 2, 4, 1, 3, 1, 1, 3, 1, 1, 2, 3, 1, 2, 3, 4, 1, 4, 2, 2, 2, 2, 2, 4, 3, 3, 2, 1, 2, 1, 4, 3, 2, 3, 2, 4, 2, 2, 2, 1, 4, 4, 4, 1, 3, 2, 3, 3, 4, 3, 3, 1, 3,
            1, 4, 4, 3, 2, 1, 2, 3, 1, 2, 1, 3, 4, 4, 2, 4, 4, 4, 1, 1, 2, 1, 1, 2, 4, 3, 3, 1, 4, 2, 2, 2, 2, 1, 4, 1, 1, 3, 4, 1, 2, 3, 4, 2, 4, 3, 4, 2, 1, 1, 2, 3, 2, 3, 4, 4, 2, 1, 4, 3, 1, 2, 2, 1, 3, 2, 2, 4, 3, 2, 1, 4, 4, 2, 4, 3, 4, 3, 4, 2, 2, 2, 3, 4, 2, 2, 2, 4, 2, 2, 4, 3, 4, 4, 4, 4, 2, 4, 2, 3,
            4, 2, 4, 2, 2, 3, 2, 1, 3, 1, 2, 3, 3, 1, 2, 1, 1, 1, 2, 4, 4, 3, 2, 4, 1, 1, 1, 4, 4, 2, 2, 1, 1, 2, 3, 2, 1, 4, 4, 3, 3, 4, 1, 1, 4, 1, 3, 3, 4, 4, 1, 4, 4, 4, 1, 3, 3, 3, 2, 4, 2, 3, 4, 1, 4, 1, 4, 4, 2, 4, 2, 4, 3, 2, 3, 3, 2, 1, 1, 4, 1, 1, 1, 3, 4, 2, 1, 3, 3, 3, 1, 3, 1, 1, 2, 3, 2, 4, 4, 4,
            4, 1, 4, 4, 4, 4, 1, 4, 4, 4, 1, 2, 4, 1, 1, 3, 3, 4, 2, 3, 2, 1, 1, 2, 1, 1, 3, 4, 2, 1, 2, 3, 3, 4, 4, 1, 3, 2, 2, 2, 2, 4, 2, 3, 2, 2, 4, 1, 1, 4, 1, 4, 4, 3, 2, 3, 3, 4, 3, 2, 2, 2, 3, 1, 2, 1, 4, 4, 4, 4, 4, 1, 1, 3, 1, 4, 1, 4, 4, 1, 3, 4, 1, 2, 1, 4, 2, 1, 1, 4, 1, 3, 2, 2, 4, 3, 4, 2, 3, 1],
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