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On a 8 x 8 chessboard a single random knight performs a simple random walk. From any square, the knight chooses from among its permissible

On a 8x8 chessboard a single random knight performs a simple random walk. From any square, the knight chooses from among its permissible moves with equal probability. If the knight starts on a corner, how long, on average, will it take to return to that corner?

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