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Difficulty: Medium
Category: Game Theory & Logic
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Topics: game-theory, nim, xor, winning-strategy
You are playing the game of Nim against another trader. There are three piles of coins. The first pile has 5 coins, the second has 7 coins, and the third has 9 coins. You move first. On each turn, a player must choose one pile and remove at least one coin from it. The player who takes the last coin wins. What is the optimal first move to guarantee a win?
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