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A Rook Game
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Problem: Two players take turns moving a rook on an 8×8 chessboard. The rook is only allowed to move south or west (but not both in a single turn), and may move any number of squares in the chosen direction on a turn. The loser is the player who first cannot move the rook. What is the optimal play for any starting position? rook-board Solution: Take advantage of the symmetry of the board.
Title: A Rook Game
Description:
Problem: Two players take turns moving a rook on an 8×8 chessboard.
The rook is only allowed to move south or west (but not both in a single turn), and may move any number of squares in the chosen direction on a turn.
The loser is the player who first cannot move the rook.
What is the optimal play for any starting position? rook-board Solution: Take advantage of the symmetry of the board.
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