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Puzzle 4.  CHESS PUZZLE

White to move, mate in three.

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Bits and Beyond ...

NIM

Nim is a game played by two players.  The game consists of chips that are arranged in an arbitrary number of piles, having an arbitrary number of chips in each pile.  Players take turns removing one or more chips from any one pile.  The object of the game is to win by being the last player to remove the last chip.

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