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7, 7, 6, 6, 6, 5, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 0, 0, 0, 1, 1, 1, 2, 2, 2, 6, 6, 6, 7, 7, 7, 6, 6, 6, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 5, 5, 5, 6, 2, 2, 2, 5, 5, 5, 6, 6, 6, 2, 6, 6, 6, 2, 2, 2, 7, 7, 7, 5, 5, 5, 6, 6, 6, 2, 2, 2, 5, 5, 5, 7, 7, 7, 7, 7, 6, 5, 5, 5, 1, 1, 1, 4, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 1, 1, 1, 7, 6, 6, 6, 1, 1, 1, 7, 7, 7, 6, 6, 6, 6, 7, 7, 7, 5, 5, 5, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 1, 1, 1, 0, 0, 0, 1, 1, 1, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 0, 0, 0, 2, 2, 2, 5, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 5, 2, 2, 2], " XO O X": [0, 4, 5, 7, 0, 1, 4, 5, 7, 0, 1, 4, 5, 7, 1, 1, 1, 5, 5, 5, 7, 7, 7, 7, 7, 7, 4], "XOXO O X": [4, 5, 7, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], "O X": [5, 6, 7, 4, 5, 6, 7, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 2, 5, 5, 5, 1, 1, 1, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1], "OXO X": [3, 4, 5, 7, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 5, 5, 5, 5], "OXO OX X": [3, 4, 7, 3, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], "OXOXOOX X": [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], " X O ": [0, 1, 3, 5, 6, 7, 8, 0, 1, 3, 5, 6, 7, 8, 0, 1, 3, 5, 6, 7, 8, 0, 1, 3, 5, 6, 7, 8, 5], " X OO X ": [1, 8, 0, 1, 6, 8, 0, 1, 3, 6, 8, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8], " XXOOOX ": [0, 1, 8, 0, 1, 8, 8, 8], "X XXOOOXO": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], " O X ": [0, 1, 2, 3, 6, 8, 0, 1, 2, 3, 5, 6, 8, 0, 1, 2, 3, 5, 6, 8, 0, 1, 2, 3, 5, 6, 8], " OOXX ": [2, 1, 2, 8, 1, 2, 3, 8, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1], " OX OOXX ": [0, 0, 3, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 8], " O X": [0, 1, 3, 4, 5, 7, 0, 1, 3, 4, 5, 6, 7, 0, 1, 3, 4, 5, 6, 7, 0, 1, 3, 4, 5, 6, 7], "X O O X": [1, 3, 5, 7, 1, 3, 4, 5, 7, 1, 3, 4, 5, 7], " X O ": [2, 4, 2, 4, 7, 8, 7, 7, 7, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 7, 7, 7, 8, 8, 8, 8, 5, 5, 5, 0, 0, 0, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 2, 5, 5, 5, 8, 8, 8, 0, 0, 0, 7, 7, 7, 5, 5, 5, 7, 7, 7, 0, 0, 0, 5, 5, 5, 7, 7, 7, 0, 0, 0, 7, 7, 7, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 7, 7, 7, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 6, 6, 6, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 8, 8, 8, 7, 7, 7, 0, 0, 0, 5, 5, 5, 0, 0, 0, 6, 6, 6, 6, 6, 6, 8, 8, 8], "XX O O ": [4, 5, 6, 8, 4, 5, 6, 8, 2, 4, 5, 6, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8], "XX O XOO": [2, 4, 5, 2, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4], " XO ": [3, 4, 7, 8, 0, 1, 2, 3, 4, 7, 8, 0, 1, 2, 3, 4, 7, 8, 0, 1, 2, 3, 4, 7, 8], "OX XO ": [2, 7, 8, 2, 3, 4, 7, 8, 2, 3, 4, 7, 8], " O X ": [3, 3, 3, 3, 6, 8, 0, 0, 0, 3, 3, 3, 7, 8, 8, 8, 7, 7, 7, 0, 0, 0, 7, 7, 7, 8, 8, 8, 8, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 7, 7, 7, 5, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 2, 2, 2, 6, 6, 6, 3, 3, 3, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 8, 8, 8, 5, 5, 5, 8, 8, 8, 3, 3, 3, 6, 6, 6, 3, 3, 3, 5, 5, 5, 6, 6, 6, 8, 8, 8, 2, 2, 2, 8, 8, 8, 5, 5, 5, 8, 8, 8, 8, 8, 8, 3, 3, 3, 8, 8, 8, 8, 8, 8, 0, 0, 0, 5, 5, 5, 7, 7, 7, 5, 5, 5, 6, 6, 6, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 8, 8, 8, 0, 0, 0, 8, 8, 8, 5, 5, 5, 2, 2, 2, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 5, 5, 5, 7, 7, 7, 5, 5, 5, 8, 8, 8, 7, 7, 7, 8, 8, 8, 3, 3, 3, 5, 8, 0, 0, 0, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 8, 8, 3, 3, 3, 6, 6, 6, 8, 8, 8, 8, 8, 8, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 8, 7, 7, 7, 5, 5, 5, 5, 5, 5, 8, 8, 8, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 0, 0, 0, 2, 2, 2, 7, 7, 7, 7, 7, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 8, 5, 5, 5, 8, 0, 0, 0, 5, 5, 5, 7, 7, 7, 8, 8, 8, 8, 5, 5, 5, 2, 2, 2, 3, 3, 3, 8, 8, 8, 5, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 3, 3, 3, 8, 8, 8, 7, 7, 7, 5, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 8, 3, 3, 3, 5, 5, 5, 8, 8, 8, 5, 5, 5, 2, 2, 2, 6, 8, 8, 8, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 8, 8, 8, 7, 7, 7, 3, 3, 3, 5, 5, 5, 0, 0, 0, 3, 3, 3, 5, 5, 5, 0, 0, 0, 7, 7, 7, 0, 0, 0, 5, 5, 5, 8, 8, 8, 7, 7, 7, 8, 8, 8, 8, 8, 8, 7, 7, 7, 5, 5, 5, 7, 7, 7, 5, 5, 5, 8, 8, 8, 6, 6, 6, 8, 8, 8, 0, 0, 0, 8, 8, 8, 5, 5, 5, 6, 6, 6, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 0, 0, 0, 2, 2, 2, 5, 5, 5, 2, 2, 2, 0, 0, 0, 5, 5, 5, 8, 8, 8, 7, 7, 7, 7, 7, 7, 3, 3, 3, 8, 8, 8, 8, 8, 8, 6, 6, 6, 0, 0, 0, 6, 5, 5, 5, 7, 7, 7, 0, 0, 0, 8, 8, 8, 2, 2, 2, 7, 7, 7, 8, 8, 8, 3, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 7, 7, 7, 6, 6, 6, 7, 7, 7, 5, 5, 5, 8, 8, 8, 7, 7, 7, 5, 5, 5, 5, 5, 5, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 2, 2, 2, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 8, 8, 8, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 2, 2, 2, 7, 7, 7, 8, 8, 8, 8, 8, 8, 7, 7, 7, 5, 5, 5, 7, 7, 7, 6, 8, 2, 2, 2, 3, 3, 3, 8, 8, 8], "OO XX ": [6, 7, 8, 2, 6, 7, 8, 2, 6, 7, 8, 3, 3, 3, 3, 3, 8, 8, 8, 7, 7, 7, 8, 8, 8, 8, 8, 8], "OO OXXX ": [7, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], " X OXO ": [0, 2, 7, 0, 2, 6, 7, 8, 0, 2, 6, 7, 8, 0, 0, 0, 7, 0, 0, 0, 8, 8, 8, 7, 7, 7, 8, 8, 8, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 2, 2, 2, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0], "OX O X": [2, 5, 7, 2, 4, 5, 6, 7, 2, 4, 5, 6, 7, 2, 7, 7, 7, 5], "OX OO XX": [2, 5, 2, 5, 6], " O X ": [8, 8, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 8, 8, 8, 4, 6, 6, 6, 6, 6, 6, 8, 8, 8, 7, 7, 6, 3, 3, 3, 0, 0, 0, 4, 3, 6, 6, 6, 2, 2, 3, 3, 3, 6, 6, 6, 3, 3, 3, 6, 6, 6, 4, 4, 4, 2, 2, 2, 6, 6, 6, 3, 2, 2, 2, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8, 8, 8, 2, 8, 8, 8, 6, 6, 6, 0, 0, 0, 8, 8, 8, 3, 3, 3, 6, 6, 6, 4, 8, 8, 8, 3, 3, 3, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 8, 8, 8, 6, 6, 6, 4, 4, 4, 6, 6, 6, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 4, 4, 3, 8, 8, 8, 8, 8, 8, 2, 2, 2, 8, 2, 2, 2, 8, 8, 8, 2, 2, 2, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 6, 6, 6, 6, 6, 6, 3, 3, 3, 8, 8, 8, 8, 8, 8, 3, 3, 3, 8, 3, 3, 3, 2, 2, 2, 8, 8, 8, 4, 4, 4, 3, 3, 3, 2, 2, 2, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 0, 0, 0, 2, 2, 2, 2, 3, 3, 3, 6, 4, 4, 4, 6, 2, 2, 2, 3, 3, 3, 8, 8, 8, 2, 2, 2, 6, 6, 6, 8, 8, 8, 2, 2, 2, 2, 2, 2, 6, 6, 6, 8, 8, 8, 3, 3, 3, 2, 2, 2, 7, 0, 0, 0, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 2, 2, 2, 6, 6, 6, 3, 8, 8, 8, 7, 6, 6, 6, 6, 6, 6, 2, 2, 2, 6, 6, 6, 3, 3, 3, 2, 2, 2, 6, 3, 3, 3, 2, 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8, 8, 3, 8, 8, 8, 8, 8, 8, 4, 4, 4, 3, 3, 3, 3, 3, 3], " O XOXOX ": [8, 0, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], "OO XOXOXX": [], " O X ": [1, 1, 2, 1, 2, 4, 8, 0, 1, 2, 4, 8, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 0, 0, 0, 7, 7, 7, 8, 8, 8, 7, 7, 7, 2, 7, 7, 7, 8, 8, 8, 7, 7, 7, 8, 8, 8, 8, 8, 8, 7, 7, 7, 4, 1, 7, 2, 4, 8, 8, 8, 7, 7, 7, 7, 7, 7, 1, 1, 1, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 1, 6, 6, 6, 1, 1, 1, 8, 8, 8, 7, 7, 7, 7, 7, 7, 1, 1, 1, 8, 8, 8, 7, 1, 1, 1, 8, 8, 8, 7, 7, 7, 8, 8, 8, 7, 7, 7, 2, 2, 2, 4, 7, 7, 7, 8, 8, 8, 7, 7, 7, 2, 2, 2, 8, 8, 8, 7, 7, 7, 1, 1, 1, 8, 8, 8, 2, 1, 7, 7, 7, 8, 8, 8, 2, 8, 8, 8, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 4, 4, 4, 8, 8, 8, 4, 4, 4, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 7, 7, 7, 4, 4, 4, 1, 1, 1, 7, 7, 7, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8], "O O XX ": [4, 8, 1, 2, 4, 7, 8, 1, 2, 4, 7, 8], "O OOXXX ": [7, 8, 1, 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3, 4, 5, 6, 7, 8, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 5, 5, 5, 1, 1, 1, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5], "OOX X ": [4, 5, 6, 3, 4, 5, 6, 3, 4, 5, 6, 8, 5, 5, 5, 4, 5, 6, 3, 3, 3, 5, 5, 5, 6], "OOXX XO": [5, 6, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], "XO X O": [2, 3, 4, 7, 2, 3, 4, 6, 7, 2, 3, 4, 6, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 2, 2, 2, 2, 2, 2, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 2, 2, 2, 6, 6, 6, 6, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 6, 6, 2, 2, 2], "XOO X XO": [3, 4, 6, 3, 4, 6, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3], "XOOOXX XO": [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], " O X XO": [2, 5, 6, 2, 3, 5, 6, 0, 2, 3, 5, 6, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0], " OXOX XO": [5, 0, 5, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], " OXOXXOXO": [], "X O ": [3, 5, 6, 3, 5, 6, 3, 4, 5, 6, 8, 1, 3, 4, 5, 6, 8, 3, 3, 3, 2, 1, 1, 1, 2, 2, 2, 5, 5, 5, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 1, 2, 3, 3, 3, 2, 2, 2, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 1, 1, 1, 2, 2, 2, 1, 1, 1, 8, 8, 8, 2, 2, 2, 1, 1, 1, 3, 3, 3, 5, 5, 5, 2, 2, 2, 2, 2, 2, 5, 5, 5, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 8, 8, 8, 2, 2, 2, 5, 5, 5, 2, 2, 2, 8, 8, 8, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 8, 8, 8, 5, 5, 5, 1, 1, 1, 5, 5, 5, 5, 5, 5, 3, 3, 3, 2, 2, 2, 6, 6, 6, 3, 3, 3, 3, 3, 3, 8, 8, 8, 2, 5, 5, 5, 2, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 5, 5, 3, 3, 3, 3, 3, 3, 1, 1, 1, 8, 8, 8, 1, 1, 1, 3, 3, 3, 6, 6, 6, 8, 8, 8, 5, 5, 5, 5, 5, 5, 8, 8, 8, 1, 1, 1], "X XO O ": [1, 4, 5, 6, 1, 4, 5, 6, 8, 1, 4, 5, 6, 8, 6, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 5, 1, 1, 1, 6, 6, 6, 6, 6, 6, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 1, 1, 1, 6, 6, 6, 8, 8, 8], "X XO XOO ": [1, 4, 8, 1, 4, 8, 1, 1, 1], " X O ": [0, 1, 2, 4, 5, 7, 8, 0, 1, 2, 4, 5, 7, 8, 0, 1, 2, 4, 5, 7, 8, 0, 1, 2, 4, 5, 7, 8, 4], " XO O X": [0, 1, 2, 5, 7, 0, 1, 2, 5, 7, 0, 1, 2, 5, 7, 1], " O XO OXX": [0, 2, 5, 0, 2, 5, 0, 0], "OOXXO OXX": [5, 5, 5, 5, 5, 5, 5], "X O ": [6, 7, 6, 7, 8, 2, 5, 6, 7, 8, 1, 7, 4, 4, 1, 5, 5, 5, 7, 7, 7, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 1, 1, 5, 5, 5, 1, 1, 1, 6, 5, 5, 5, 1, 1, 1, 6, 6, 6, 1, 1, 1, 1, 1, 1, 6, 6, 6, 1, 1, 1, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 8, 8, 8, 2, 6, 6, 6, 1, 1, 1, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 2, 2, 2, 1, 1, 1, 8, 8, 8, 1, 1, 1, 5, 5, 5, 6, 6, 6, 1, 1, 1, 5, 5, 5, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 6, 6, 6, 6, 6, 6, 8, 8, 8, 1, 1, 1, 8, 1, 1, 1, 8, 8, 8, 8, 8, 8, 5, 5, 5, 1, 1, 1, 1, 1, 1, 5, 5, 5, 4, 1, 1, 1, 6, 6, 6, 8, 8, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 5, 5, 5, 1, 1, 1, 1, 8, 8, 8, 1, 1, 1, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 5, 5, 5, 7, 7, 7, 8, 8, 8, 7, 7, 7, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 8, 8, 8, 5, 5, 5, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 8, 8, 8, 1, 1, 1, 8, 8, 8, 5, 5, 5, 8, 8, 8, 6, 6, 6, 6, 6, 6, 8, 8, 8], "XO O X ": [2, 4, 6, 2, 4, 5, 6, 8, 2, 4, 5, 6, 8, 8, 8, 8, 6, 6, 6, 4, 8, 8, 8, 8, 8, 8, 5, 5, 5, 5, 5, 5, 8, 4, 8, 6, 6, 6, 8, 8, 8, 5, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 4, 8, 8, 8, 5, 5, 5, 8, 8, 8, 2, 2, 2, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 8, 8, 8, 5, 5, 5, 8, 8, 8, 5, 5, 5, 6, 6, 6], "XO O X XO": [2, 4, 6, 2, 4, 6, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], "XO OOXXXO": [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], " XO ": [0, 1, 2, 5, 6, 7, 8, 0, 1, 2, 5, 6, 7, 8, 0, 1, 2, 5, 6, 7, 8, 0, 1, 2, 5, 6, 7, 8, 5, 5, 5], " XOOX ": [1, 2, 0, 1, 2, 7, 8, 0, 1, 2, 7, 8, 2, 2, 2, 8, 2, 2, 2, 8, 8, 8, 8, 8, 8, 2, 2, 2, 8, 8, 8, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0], " O X ": [0, 1, 3, 5, 7, 8, 0, 1, 2, 3, 5, 7, 8, 0, 1, 2, 3, 5, 7, 8, 0, 1, 2, 3, 5, 7, 8, 5], " O O X X": [1, 3, 5, 7, 0, 1, 3, 5, 7, 0, 1, 3, 5, 7], "O O OXX X": [3, 7, 1, 3, 7], " O XOX ": [3, 7, 0, 3, 7, 8, 0, 3, 7, 8, 8, 8, 8, 2, 2, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 3, 3, 3, 8, 8, 8, 3, 3, 3, 2, 2, 2, 7, 7, 7, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 8, 8, 8, 2, 2, 2, 7, 7, 7, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 7, 7, 7, 2, 2, 2, 2, 2, 2, 3, 3, 3], " O XXOX O": [0, 7, 0, 2, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 2, 2, 2, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], " X O ": [6, 3, 6, 3, 6, 8, 2, 2, 2, 8, 8, 8, 2, 2, 2, 2, 2, 2, 4, 4, 4, 2, 2, 2, 0, 0, 0, 8, 8, 8, 8, 1, 1, 8, 8, 8, 1, 1, 1, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 8, 8, 8, 8, 8, 8, 1, 1, 1, 2, 8, 8, 8, 2, 2, 2, 8, 8, 8, 4, 4, 4, 2, 2, 2, 2, 8, 8, 8, 2, 1, 1, 1, 4, 4, 4, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8, 8, 1, 1, 1, 8, 8, 8, 0, 0, 0, 4, 0, 0, 0, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 8, 8, 8, 4, 1, 1, 1, 0, 0, 0, 2, 2, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 0, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 8, 8, 8, 1, 1, 1, 1, 1, 1, 8, 8, 8, 6, 6, 6, 2, 2, 4, 4, 4, 3, 3, 3], "X O X O ": [2, 8, 1, 2, 4, 6, 8, 1, 2, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6], "X OXXOO ": [1, 2, 1, 2, 8, 1, 1, 1], " O X ": [1, 3, 4, 6, 7, 8, 0, 1, 3, 4, 6, 7, 8, 0, 1, 3, 4, 6, 7, 8, 0, 1, 3, 4, 6, 7, 8], "O O XX ": [3, 6, 7, 8, 1, 3, 6, 7, 8, 1, 3, 6, 7, 8], " X O ": [0, 1, 3, 5, 7, 8, 0, 1, 3, 5, 7, 8, 0, 1, 3, 4, 5, 7, 8, 0, 1, 3, 4, 5, 7, 8], " XXO O ": [1, 5, 7, 8, 0, 1, 5, 7, 8, 0, 1, 5, 7, 8], "O XXO OX ": [1, 5, 1, 5, 8], " X O ": [4, 4, 0, 4, 8, 8, 8, 8, 2, 2, 8, 8, 8, 0, 3, 3, 6, 6, 6, 6, 6, 7, 6, 8, 8, 8, 0, 0, 0, 7, 7, 7, 7, 6, 3, 3, 3, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 2, 2, 2, 6, 6, 6, 3, 3, 3, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 7, 7, 0, 7, 7, 7, 8, 6, 6, 6, 7, 6, 2, 6, 6, 6, 8, 7, 7, 7, 8, 8, 8, 6, 6, 6, 8, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 7, 3, 3, 3, 8, 4, 4, 4, 6, 6, 6, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 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3, 3, 3, 3, 3, 3, 5, 5, 5, 8, 8, 8, 5, 5, 5, 6, 6, 6, 5, 5, 5, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8], "OOXXX O": [5, 6, 7, 5, 6, 7, 7, 7, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], "O X ": [6, 2, 4, 6, 7, 8, 1, 2, 3, 4, 6, 7, 8, 1, 2, 3, 4, 6, 7, 8, 4, 4, 4, 3, 3, 3, 1, 1, 1, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 3, 3, 3], "O X OX ": [1, 3, 6, 7, 8, 1, 3, 6, 7, 8, 1, 3, 6, 7, 8, 3, 3, 3, 3, 3, 3], " O X ": [1, 2, 4, 8, 1, 2, 4, 5, 8, 2, 2, 2, 8, 8, 8, 5, 5, 5, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 1, 5, 5, 5, 1, 1, 1, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 0, 0, 0, 6, 6, 6, 8, 8, 8, 1, 1, 1, 0, 0, 0, 5, 5, 5, 1, 1, 1, 0, 0, 0, 6, 8, 8, 8, 0, 0, 0, 5, 5, 5, 0, 0, 0, 6, 6, 6, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 1, 1, 1, 5, 5, 5, 5, 5, 5, 8, 8, 8, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 8, 8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 0, 0, 0, 0, 0, 0, 5, 5, 5, 6, 6, 6, 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0, 0, 3, 3, 3, 6, 6, 6, 8, 8, 8, 2, 2, 2, 2, 2, 2, 6], "OO OX XX": [3, 2, 3, 6, 3, 3, 3, 6, 6, 6, 6, 6, 6, 3, 3, 3], "OX O X": [2, 4, 7, 2, 4, 6, 7, 2, 3, 4, 6, 7, 2, 2, 2, 7, 6, 6, 6, 6, 6, 6, 6, 7, 2, 2, 2, 3, 6, 6, 6, 7, 6, 6, 6, 2, 2, 2], "X O XO ": [1, 2, 4, 5, 8, 1, 2, 4, 5, 8, 1, 2, 4, 5, 8, 4, 1, 1, 1, 2, 1, 1, 1, 5, 5, 5, 1, 8, 8, 8, 8], "XX OO XO ": [2, 5, 8, 2, 5, 8, 2, 5, 5, 5], "XXOOOXXO ": [8, 8, 8, 8, 8, 8, 8, 8], " X O ": [2, 5, 1, 2, 3, 5, 1, 2, 3, 5, 8, 0, 1, 2, 3, 5, 8, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 6, 6, 6, 6, 6, 3, 3, 3, 0, 0, 0, 8, 8, 8, 3, 3, 3, 3, 3, 3, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 6, 6, 6, 2, 2, 2, 8, 8, 8, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 3, 3, 3, 2, 0, 0, 0, 0, 8, 8, 8, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 8, 8, 8, 0, 0, 0, 1, 1, 1, 3, 3, 3, 0, 6, 6, 6, 0, 0, 0, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0], "O XX O ": [1, 2, 3, 8, 1, 2, 3, 6, 8, 1, 2, 3, 6, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 8, 8, 8, 1, 1, 1, 8], "X O ": [1, 3, 5, 7, 1, 2, 3, 5, 6, 7, 8, 1, 2, 3, 5, 6, 7, 8, 1, 2, 3, 5, 6, 7, 8], "XX O O ": [3, 5, 7, 2, 3, 5, 7, 8, 2, 3, 5, 7, 8], "O O X X": [1, 2, 4, 6, 7, 1, 2, 4, 6, 7, 1, 2, 4, 6, 7, 7, 7, 7], "OX O X OX": [2, 4, 2, 4, 6, 4, 4, 4, 4, 2], " O X X O": [0, 3, 5, 7, 0, 2, 3, 5, 7, 0, 2, 3, 5, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5], "X O": [3, 5, 3, 5, 7, 3, 5, 7, 1, 1, 6, 6, 6, 4, 4, 1, 1, 1, 2, 1, 1, 1, 3, 3, 3, 6, 6, 6, 4, 4, 4, 5, 5, 5, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 4, 4, 4, 1, 1, 1, 7, 7, 7, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 6, 6, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 7, 7, 7, 6, 6, 6, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 6, 6, 6, 6, 6, 6, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 2, 2, 2, 3, 1, 1, 1, 1, 1, 1, 6, 6, 6, 5, 5, 5, 4, 4, 4, 1, 1, 1, 4, 4, 4, 1, 1, 1, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 6, 6, 6, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 2, 2, 2, 3, 3, 3, 1, 1, 1, 4, 4, 4, 1, 1, 1, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 6, 6, 6, 1, 1, 1, 3, 1, 1, 1, 1, 3, 3, 3, 6, 6, 6, 5, 5, 5, 2, 2, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 6, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 4, 4, 4, 6, 6, 6, 4, 4, 4, 1, 1, 1, 6, 6, 6, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 4, 4, 4, 1, 1, 1, 6, 6, 6, 5, 5, 5, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 7, 7, 7, 6, 6, 6, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 4, 4, 4, 7, 7, 7, 1, 1, 1, 1, 1, 1, 4, 4, 4, 3, 3, 3, 7, 7, 7, 2, 2, 2, 7, 7, 7, 4, 4, 4, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], "XOXO XO": [4, 5, 6, 4, 5, 6, 5, 5, 5, 4, 4, 4, 4, 6, 6, 6, 4, 4, 4, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], "OO XXOX ": [7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], "OO XXOXXO": [], "OOXX XO ": [8, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], "OOXX OXOX": [], "O X ": [1, 2, 3, 8, 1, 2, 3, 8, 1, 2, 3, 4, 5, 8, 1, 2, 3, 4, 5, 6, 8], "O XOX ": [1, 2, 4, 8, 1, 2, 4, 8, 1, 2, 3, 4, 8], " OX ": [8, 8, 7, 8, 2, 7, 8, 0, 7, 7, 7, 1, 1, 1, 1, 1, 1, 4, 2, 4, 4, 4, 0, 4, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 4, 4, 4, 1, 1, 1, 3, 3, 3, 4, 4, 4, 0, 0, 0, 3, 3, 3, 3, 3, 3, 4, 4, 4, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 1, 1, 1, 3, 3, 3, 7, 7, 7, 4, 4, 4, 1, 1, 1, 3, 3, 3, 4, 4, 4, 4, 1, 1, 1, 0, 0, 0, 4, 3, 3, 3, 4, 4, 4, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 4, 4, 4, 1, 1, 1, 4, 4, 4, 1, 1, 1, 2, 3, 3, 3, 0, 0, 0, 4, 4, 4, 0, 0, 0, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 0, 1, 1, 1, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 7, 1, 1, 1, 3, 3, 3, 7, 3, 3, 3, 4, 4, 4, 3, 3, 3, 1, 1, 1, 4, 4, 4, 1, 1, 1, 0, 0, 0, 0, 7, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 4, 4, 4, 0, 0, 0, 7, 7, 7, 3, 3, 3, 1, 1, 1, 4, 4, 4, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 7, 7, 7, 1, 1, 1, 3, 3, 3, 3, 3, 3, 4, 4, 4, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 1, 1, 1, 3, 3, 3, 1, 1, 1, 4, 4, 4, 1, 1, 1, 7, 7, 7, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 0, 0], "O OXX ": [1, 8, 1, 3, 8, 1, 2, 3, 4, 8, 1, 1, 1, 2, 2, 2, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], "O XOX ": [1, 3, 8, 1, 2, 3, 7, 8, 1, 2, 3, 7, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], "O OXOX X": [1, 2, 7, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1], " X O": [0, 6, 2, 2, 2, 2, 2, 5, 7, 7, 7, 4, 4, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 7, 3, 3, 3, 7, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 3, 3, 3, 3, 3, 3, 2, 2, 2, 5, 5, 5, 2, 4, 4, 4, 3, 3, 3, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 2, 2, 2, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 0, 5, 2, 2, 2, 3, 3, 3, 5, 5, 5, 2, 2, 2, 2, 2, 2, 7, 5, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 5, 5, 5, 5, 7, 2, 7, 7, 7, 4, 4, 4, 5, 5, 5, 3, 3, 3, 5, 5, 5, 2, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 2, 2, 2, 2, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 0, 0, 0, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 3, 3, 3, 2, 2, 2, 4, 4, 4, 3, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 2, 2, 2, 5, 5, 5, 6, 6, 6, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 6, 6, 6, 3, 3, 3, 5], "XXO O": [3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3], "XXOO XO": [4, 6, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6], " X O ": [0, 0, 2, 0, 2, 8, 7, 7, 7, 7, 7, 8, 8, 8, 6, 6, 6, 8, 0, 1, 1, 1, 7, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 7, 1, 1, 1, 4, 4, 1, 1, 1, 6, 8, 8, 8, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 7, 4, 4, 4, 7, 7, 7, 7, 7, 7, 8, 8, 8, 6, 6, 8, 8, 8, 7, 6, 4, 4, 4, 4, 8, 8, 8, 7, 7, 7, 4, 4, 4, 1, 1, 1, 8, 8, 8, 8, 8, 8, 1, 6, 6, 6, 6, 8, 8, 8, 8, 6, 7, 7, 7, 8, 8, 8, 4, 4, 4, 7, 7, 7, 8, 8, 7, 7, 7, 2, 2, 2, 7, 7, 7, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 7, 7, 7, 1, 7, 7, 7, 7, 6, 6, 6, 1, 1, 1, 1, 1, 1, 8, 1, 6, 7, 7, 7, 8, 8, 8, 4, 7, 7, 7, 7, 6, 6, 6, 8, 8, 8, 7, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 6, 6, 6, 1, 1, 1, 6, 8, 8, 8, 6, 6, 8, 8, 8, 6, 6, 6, 1, 6, 7, 7, 7, 2, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 4, 1, 1, 1, 1, 1, 1, 1, 8, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 1, 6, 8, 8, 8, 4, 4, 4, 6, 7, 1, 1, 1, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 4, 4, 4, 4, 4, 4, 1, 1, 1, 7, 7, 7, 8, 1, 4, 4, 4, 6, 1, 1, 1, 7, 7, 7, 4, 4, 4, 4, 6, 6, 6, 1, 1, 1, 7, 7, 7, 8, 8, 8, 7, 6, 1, 1, 1, 8, 6, 8, 8, 8, 1, 1, 1], " X OOX ": [0, 1, 8, 0, 1, 2, 8, 0, 1, 2, 4, 8, 8, 8, 8, 8, 0, 8, 8, 8, 1, 1, 1, 1, 1, 1, 8, 0, 8, 8, 8, 1, 2, 2, 2, 1, 2, 2, 2, 1], " X X OOXO": [0, 4, 0, 4, 0, 4, 4, 4, 2, 2, 2, 4, 0, 0, 0, 2, 2, 2, 4, 4, 4, 2, 2, 2, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4], "OXXX OOXO": [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], "X O ": [3, 4, 5, 6, 7, 8, 1, 3, 4, 5, 6, 7, 8, 1, 3, 4, 5, 6, 7, 8, 1, 3, 4, 5, 6, 7, 8], "XOO X ": [3, 6, 3, 4, 5, 6, 8, 3, 4, 5, 6, 8, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5], "XOO XXO": [3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4], " OX": [0, 0, 4, 0, 2, 4, 6, 6, 6, 2, 5, 5, 5, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 5, 5, 5, 0, 5, 1, 1, 1, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 1, 1, 1, 1, 0, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 1, 1, 1, 5, 5, 5, 6, 6, 6, 1, 1, 1, 6, 5, 5, 5, 1, 1, 1, 3, 3, 3, 5, 5, 5, 1, 1, 1, 5, 1, 1, 1, 5, 5, 5, 3, 3, 3, 1, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 6, 6, 6, 1, 1, 1, 5, 5, 5, 1, 1, 1, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 1, 1, 1, 5, 5, 5, 6, 6, 6, 5, 1, 1, 1, 5, 5, 5], "X OOX": [1, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5], "XX OOOX": [3, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4], "O X X O": [3, 5, 7, 1, 2, 3, 5, 7, 1, 2, 3, 5, 7, 1, 1, 1, 7, 7, 7, 1, 1, 1], " OXOX ": [0, 5, 6, 7, 8, 0, 5, 6, 7, 8, 0, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 8, 8, 0, 0, 0, 6, 6, 6, 5, 5, 5, 8, 8, 8, 6, 5, 5, 5, 5, 5, 5, 8, 8, 8, 0, 0, 0, 5, 5, 5, 5, 5, 5], " OXOXO X ": [6, 8, 0, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], " O X XO": [3, 6, 2, 3, 4, 6, 0, 2, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], " OOX X XO": [4, 6, 4, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6], " OO XX ": [1, 4, 7, 8, 0, 1, 4, 7, 8, 0, 1, 4, 7, 8, 0, 8, 0], "OXOOXXXO ": [8, 8, 8, 8, 8, 8, 8], "XXOO X O ": [8, 4, 6, 8, 6, 6, 6], "XXOOOX OX": [], "OX O X ": [4, 5, 8, 2, 4, 5, 8, 2, 4, 5, 8, 5, 5, 5, 8, 8, 8, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8], "OX O O XX": [2, 6, 2, 4, 6, 2, 2, 2, 2, 2, 2], " X O ": [0, 5, 7, 8, 0, 2, 3, 5, 6, 7, 8, 0, 2, 3, 5, 6, 7, 8, 0, 2, 3, 5, 6, 7, 8, 3], "XX OO ": [2, 6, 7, 8, 2, 6, 7, 8, 2, 5, 6, 7, 8], "XO X O": [2, 3, 4, 5, 2, 3, 4, 5, 2, 3, 4, 5, 7, 7, 7, 7, 5, 5, 5, 2, 2, 2, 7, 7, 7, 5, 5, 5, 7, 7, 7, 3, 4, 4, 4, 2, 2, 2, 5, 5, 5, 5, 5, 5, 7, 7, 7, 2, 2, 2, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 7, 7, 7, 4, 4, 4, 3, 3, 3, 7, 7, 7, 5, 5, 5, 4, 4, 4, 2, 2, 2, 3, 3, 3, 5, 5, 5, 5, 5, 5, 7, 7, 7, 5, 5, 5, 5, 5, 5, 7, 7, 7, 3, 3, 3, 2, 2, 2, 5, 5, 5, 7, 7, 7, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 2, 2, 2, 2, 2, 2, 5, 5, 5, 7, 7, 7, 5, 5, 5, 7, 7, 7, 5, 5, 5, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 7, 7, 7, 4, 4, 4, 2, 2, 2, 5, 5, 5], "OX ": [5, 8, 3, 4, 5, 6, 7, 8, 2, 3, 4, 5, 6, 7, 8, 2, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 3, 6, 6, 6, 8, 8, 8, 5, 2, 2, 2, 6, 8, 2, 2, 2, 2], "OXXO ": [5, 7, 8, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 7, 7, 7, 7, 7, 7], " O XOX XO": [2, 6, 0, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], " O X OX": [3, 5, 6, 2, 3, 5, 6, 0, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], " O XXO OX": [0, 2, 6, 0, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], " X O ": [0, 1, 2, 3, 5, 7, 8, 0, 1, 2, 3, 5, 7, 8, 0, 1, 2, 3, 5, 7, 8, 0, 1, 2, 3, 5, 7, 8, 5, 5, 5, 5], "X XOO ": [1, 2, 3, 7, 8, 1, 2, 3, 7, 8, 1, 2, 3, 7, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3], "XX XOO O": [2, 3, 2, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], " OO X X ": [8, 0, 3, 8, 0, 3, 8, 4, 4, 4, 4, 4, 4, 3, 3, 3, 6, 4, 4, 4, 4, 4, 4, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6, 6, 8, 8, 8, 4, 4, 4], "XOO XOX ": [3, 8, 3, 4, 8, 3, 8, 8, 8, 3], "XO XO": [3, 5, 6, 3, 4, 5, 6, 2, 3, 4, 5, 6, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 5, 5, 5, 5, 2, 2, 2, 5, 5, 5, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 3, 3, 3, 5, 5, 5, 2, 2, 2, 3, 3, 3, 5, 5, 5, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 3, 3, 3, 2, 2, 2, 2, 2, 2, 5, 3, 3, 3, 2, 2, 2, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 2, 2, 2, 6, 6, 6], "XOX O XO": [5, 6, 3, 5, 6, 6, 6, 6, 3, 5, 3, 6, 3, 3, 3, 3], "XOXOO XXO": [], " O OX X ": [0, 2, 5, 7, 8, 0, 2, 5, 7, 8, 0, 2, 5, 7, 8, 8, 8, 8, 5, 5, 5, 8, 8, 8, 5, 5, 5, 8, 8, 8, 8, 5, 5, 5, 7, 7, 7, 8, 8, 8, 8, 8, 8], " O OX XXO": [0, 2, 5, 0, 2, 5, 2, 2, 2, 5, 5, 5, 2, 2, 2, 2, 2], "XOOOX XXO": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], "OX XO OX": [2, 3, 6, 2, 3, 6, 2, 6, 2, 2, 3, 2, 6], "OXOXXO OX": [6, 6, 6, 6, 6, 6, 6, 6], " X X OO": [0, 1, 2, 6, 0, 1, 2, 4, 6, 0, 1, 2, 4, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0], " O OX X": [2, 3, 7, 2, 3, 7, 2, 2, 2, 7, 7, 7, 2, 2, 2, 3, 3, 3, 4, 4, 7, 7, 7, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 2, 2, 2, 7, 7, 7, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], "OO X OX X": [7, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], "XX OO": [3, 5, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 6, 6, 6, 3, 3, 3], "XXO X OO": [3, 3, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], " O X XO ": [8, 4, 7, 8, 0, 4, 7, 8, 2, 2, 2, 2, 2, 2, 4, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 2, 2, 2, 4, 4, 4, 0, 0, 0, 7, 7, 7, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], "OO X XO X": [4, 7, 4, 7, 4, 4, 4, 7, 7, 7], "O X OX ": [1, 4, 1, 2, 4, 7, 1, 2, 4, 7, 8, 2, 4], "O OX OXX ": [4, 1, 4, 8], " XOO X ": [0, 4, 5, 6, 8, 0, 4, 5, 6, 8, 0, 4, 5, 6, 8, 4, 4, 4], " XOOO XX ": [0, 5, 8, 0, 5, 8, 0, 0, 0], "OXOOOXXX ": [8, 8, 8, 8, 8, 8, 8], " XO ": [2, 2, 7, 2, 6, 7, 2, 3, 6, 7, 7, 1, 1, 8, 8, 1, 1, 1, 8, 8, 8, 0, 3, 3, 3, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 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1, 1, 3, 3, 3, 1, 1, 1, 7, 3, 3, 3, 1, 1, 1, 8, 1, 1, 1, 7, 7, 7, 1, 8, 8, 8, 8, 8, 8, 1, 1, 1, 7, 7, 7, 0, 1, 1, 1, 0, 0, 0, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 3, 3, 3, 7, 1, 1, 1, 1, 1, 1, 8, 8, 8, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 8, 8, 8, 8, 8, 8, 0, 1, 1, 1, 1, 1, 1], " X XO O ": [0, 3, 6, 0, 2, 3, 6, 8, 0, 2, 3, 6, 8, 0, 6, 6, 8, 3, 8, 8, 8, 8, 3, 3, 3, 8, 3, 3, 3, 3, 3, 3], "OX XXOOOX": [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], "X OOX ": [1, 3, 4, 8, 1, 2, 3, 4, 8, 1, 2, 3, 4, 8, 3, 3, 3, 2, 2, 2, 2, 2, 2, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3], "X OXOOX ": [1, 2, 8, 1, 2, 8, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2], "XOXOX O": [5, 6, 7, 5, 6, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 7, 7, 7, 6, 6, 6, 6, 6, 6], " XOX O ": [0, 4, 5, 6, 0, 4, 5, 6, 8, 0, 4, 5, 6, 8, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], " XOX OXO ": [0, 4, 8, 0, 4, 8, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 8, 8, 8, 4, 4, 4], " O XO X ": [2, 5, 8, 0, 2, 5, 6, 8, 0, 2, 5, 6, 8, 6, 6, 6, 8, 6, 6, 8, 6, 8, 8, 8, 6], "XO XO OX ": [5, 8, 2, 5, 8, 8, 8, 5, 5], "XXO O ": [3, 5, 3, 4, 5, 8, 3, 4, 5, 6, 8, 8, 8, 8, 3, 8, 8, 8, 3, 3, 3], "XXOX OO": [4, 4, 5, 6, 5, 5, 5], " O OXX ": [2, 3, 7, 8, 2, 3, 7, 8, 0, 2, 3, 7, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0], "OOX OXX ": [3, 3, 7, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], "OOXOOXXX ": [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], " O XXO ": [2, 7, 0, 2, 3, 7, 8, 0, 2, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 2, 2, 2], "XO XXO O": [2, 3, 2, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7], "XOXOXXO O": [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], " O XXO": [1, 2, 3, 5, 0, 1, 2, 3, 5, 0, 1, 2, 3, 5], " X O ": [0, 2, 3, 5, 8, 0, 2, 3, 4, 5, 7, 8, 0, 2, 3, 4, 5, 7, 8, 0, 2, 3, 4, 5, 7, 8], " XX OO ": [4, 0, 3, 4, 5, 8, 0, 3, 4, 5, 8, 4, 3, 3, 3], " XXOX OO ": [5, 8, 0, 5, 8, 8, 8, 8, 5, 5, 5], " XXO O": [4, 5, 7, 4, 5, 6, 7, 4, 5, 6, 7, 7, 7, 7, 6, 6, 6, 7, 7, 7, 0, 0, 0, 5, 5, 5, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 5, 5, 5, 4, 4, 4, 7, 7, 7, 7, 7, 7, 5, 5, 5], " XXOX OO": [0, 5, 0, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6], " O XXO ": [7, 8, 0, 2, 6, 7, 8, 0, 2, 6, 7, 8, 8, 8, 8, 6, 6, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 6, 6, 8, 8, 8, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 8, 8, 8, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8], " O XXO XO": [0, 6, 0, 2, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], " X OXOXO ": [0, 2, 8, 0, 2, 8, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8], " OO X X": [3, 0, 3, 6, 7, 0, 3, 6, 7, 3, 3, 3, 7, 7, 7, 3, 7, 7, 7, 3, 7, 3, 3, 3, 7, 7, 7, 6, 6, 6, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 3, 6], " OOXOX X": [0, 0, 6, 7], "O X ": [2, 5, 1, 2, 3, 5, 7, 8, 1, 2, 3, 5, 6, 7, 8, 1, 2, 3, 5, 6, 7, 8, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 2, 2, 2, 3, 3, 3, 7, 7, 7, 1, 1, 1, 6, 6, 6, 6, 6, 6], "O X O X": [1, 2, 3, 5, 7, 1, 2, 3, 5, 7, 1, 2, 3, 5, 7, 7], "OX X OOX": [2, 3, 5, 2, 3, 5, 2], "XO X XOO": [2, 3, 5, 2, 3, 5, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2], "X X O O": [1, 3, 4, 5, 1, 3, 4, 5, 7, 1, 3, 4, 5, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1], "X XO OXO": [1, 4, 5, 1, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1], "XOXOX OXO": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], "XO XXOO ": [2, 7, 8, 2, 7, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 8, 8, 8, 2, 2, 2, 7, 7, 7, 2, 2, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 8, 8, 8, 2, 2, 2, 8, 8, 8], "XOXXXOO O": [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], " X OXO ": [0, 1, 4, 8, 0, 1, 4, 8, 0, 1, 2, 4, 8, 1, 1, 1, 8, 2, 2, 2, 1, 1, 1, 4, 4, 4, 4, 4, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 4], " O XXOXO ": [0, 2, 8, 0, 2, 8, 8, 8, 8, 2, 2, 2, 8, 8, 8, 8, 8, 8, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0], " O O XX ": [4, 5, 8, 2, 4, 5, 8, 0, 2, 4, 5, 8, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 5, 0, 0, 0, 0, 0, 0], " OOOX XX ": [5, 8, 0, 5, 8, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5], "XOOOXOXX ": [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], "XO O X ": [2, 5, 7, 2, 5, 7, 8, 2, 4, 5, 7, 8, 8, 8, 8, 2, 8, 8, 8, 7, 7, 7, 8, 8, 8, 7, 7, 7, 8, 7, 7, 7, 2, 2, 2, 8, 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4, 4], "OXX OO X": [7, 3, 4, 7, 4, 7], "OXXXOOO X": [7, 7, 7, 7], " X O OX": [0, 2, 3, 4, 0, 2, 3, 4, 0, 2, 3, 4, 6, 4, 6, 6, 6, 2, 2, 3, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 3, 3, 3, 2, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6], " X XOOOX": [2, 3, 0, 2, 3, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2], "OXX XOOOX": [], "O X OX": [1, 3, 5, 6, 1, 2, 3, 5, 6, 1, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5], "OXO XOXOX": [3, 3, 3, 3, 3, 3, 3], " O XO X": [0, 1, 2, 7, 0, 1, 2, 4, 7, 0, 1, 2, 4, 7, 4, 1, 1, 1, 1, 7, 7, 7], " X OOXO X": [0, 7, 0, 2, 7, 7, 7, 7], " OOX X": [0, 2, 0, 2, 3, 7, 0, 1, 2, 3, 7, 1, 1, 1, 0, 2, 1, 1, 1], " O XOOX X": [2, 0, 2, 7, 7, 2, 2, 2, 2, 2, 2, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], "X O O X": [1, 1, 4, 1, 3, 4, 6, 7, 6, 6, 6, 3, 3, 3, 6, 6, 6, 7, 7, 7, 4, 4, 4, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 3, 3, 3, 6, 6, 6, 3, 3, 3, 4, 4, 4, 1, 1, 1, 6, 6, 6], "X O OOXX": [1, 4, 1, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], " O X OX ": [2, 7, 8, 2, 7, 8, 2, 4, 7, 8, 4, 4, 4, 7, 7, 7, 4, 4, 4, 4, 4, 4, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 7, 7, 7, 4, 4, 4, 7, 7, 7, 4, 4, 4, 7, 7, 7, 8, 8, 8, 7, 7, 7, 8, 8, 8, 7, 7, 7, 4, 4, 4, 4, 4, 4, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 7, 7, 7, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 4, 4, 4, 0, 0, 0, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 7, 7, 7, 0, 0, 0, 4, 4, 4, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], " XX OO": [0, 1, 3, 6, 0, 1, 2, 3, 6, 0, 1, 2, 3, 6, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], 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8, 8, 6, 6, 6, 4, 7, 7, 7], "XOO X OX": [3, 4, 6, 3, 4, 6, 6, 6, 6, 6, 6, 6], "OX XO ": [2, 3, 6, 7, 8, 2, 3, 6, 7, 8, 2, 3, 6, 7, 8, 8, 8, 8, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 3, 3, 3, 8, 8, 8, 3, 3, 3, 3, 3, 3], " O OXX ": [0, 2, 3, 8, 0, 2, 3, 4, 8, 0, 2, 3, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 3, 3, 3, 4, 4, 4, 0, 0, 0, 4, 4, 4, 8, 8, 8, 2, 2, 2, 0, 0, 0, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 4, 4, 4, 3, 3, 3, 8, 8, 8, 4, 4, 4, 8, 8, 8, 4, 4, 4, 0, 0, 0, 2, 2, 2, 8, 8, 8, 8, 8, 8, 0, 0, 0, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 4, 4, 4], " XO ": [2, 8, 2, 3, 5, 8, 1, 2, 3, 4, 5, 8, 0, 1, 2, 3, 4, 5, 8, 2, 2, 2, 2, 0, 4, 0, 3, 5, 5, 5, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 5, 5, 5, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 5, 5, 5, 4, 4, 4, 3, 3, 3, 8, 8, 8, 8, 8, 8, 4, 2, 2, 2, 3, 3, 3, 3, 5, 5, 5, 5, 2, 0, 0, 0, 0, 0, 0, 5, 5, 5, 8, 8, 8, 1, 1, 1, 3, 8, 8, 8, 0, 0, 0, 0, 0, 0, 3, 2, 0, 3, 3, 3, 5, 5, 5, 2, 5, 5, 5, 8, 8, 8, 0, 0, 0, 5, 2, 2, 2, 1, 1, 1, 5, 5, 5, 3, 5, 5, 5, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3], " O XOX": [0, 1, 3, 4, 5, 0, 1, 3, 4, 5, 0, 1, 3, 4, 5, 5, 5, 5], " O XOXOX": [0, 1, 3, 0, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], " XOX O ": [2, 8, 0, 1, 2, 8, 0, 1, 2, 6, 8, 2, 2, 2], " XOXOOX": [0, 1, 0, 1, 2], "XO OX": [2, 5, 2, 3, 5, 2, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 3, 6, 6, 6, 3, 3, 3, 6, 6, 6, 3, 2, 2, 2], "XO X OOX": [2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], " OOX X": [0, 2, 6, 7, 0, 1, 2, 6, 7, 0, 1, 2, 6, 7, 7, 7, 7, 1, 1, 1, 6, 6, 6, 1, 1, 1], " O OOXX X": [0, 7, 0, 2, 7, 0, 0, 0, 0, 0, 0], "XOOOOXX X": [], "XOXO X O ": [6, 8, 6, 8, 6, 6, 6, 6, 6, 6, 8, 8, 8, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 6], "X XO O ": [6, 7, 8, 1, 4, 6, 7, 8, 1, 4, 6, 7, 8, 1, 1, 1, 7, 7, 7, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 8], "XOXO OX ": [7, 8, 4, 7, 8, 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5, 0, 5], "X OO X ": [1, 4, 6, 7, 8, 1, 4, 6, 7, 8, 1, 4, 6, 7, 8, 4, 1], "X OOOX X": [1, 7, 1, 6, 7, 1], "X O XOXO": [1, 2, 4, 1, 2, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 4], " XOXX O O": [0, 5, 7, 0, 5, 7, 0, 0, 0, 0, 0, 0], "OX OXOX": [2, 3, 4, 2, 3, 4, 2], "X XX O OO": [1, 4, 1, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4], "OOXO XX ": [4, 5, 8, 4, 5, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8, 8, 8], "XOXO OX": [5, 6, 4, 5, 6, 6, 6, 6], " OXX OXO": [0, 4, 5, 0, 4, 5, 5], "OO X OXX": [5, 2, 3, 5], "X X OO ": [1, 2, 3, 5, 8, 1, 2, 3, 5, 8, 1, 2, 3, 5, 8, 5, 5, 5], " OXOX OX ": [5, 8, 0, 5, 8, 8, 8, 8], "OOXXXO ": [6, 7, 8, 6, 7, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 7, 7, 8, 8, 8], "O XO O XX": [1, 6, 1, 6, 1, 1, 1], " XOX X OO": [0, 4, 0, 4, 6, 4, 4, 4, 4], "O X O X ": [1, 2, 6, 8, 1, 2, 6, 8, 1, 2, 4, 6, 8], "OX XOO X ": [2, 6, 8], " OO XX": [0, 1, 5, 6, 0, 1, 4, 5, 6, 0, 1, 4, 5, 6, 4, 4, 4, 0, 0, 0], "OXO 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