Question: A lone king on a chessboard conducts a random walk by moving to a neighboring square with probability proportional to the number of neighbors. The

A lone king on a chessboard conducts a random walk by moving to a neighboring square with probability proportional to the number of neighbors. The walk defines a simple random walk on a graph consisting of 64 vertices. Find the value of the stationary distribution at a corner square of the chessboard.

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