Mathematics · Game Theory
In a crystal-collection game, two players, Luna and Kai, take turns removing crystals from the board. In each turn, a player must remove between 1 and 5 crystals (inclusive). The player who removes the last crystal wins. During Luna's turn, there are 32 crystals left on the board. How many crystals should Luna collect in this turn to guarantee her win, regardless of how Kai plays?
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