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A New Algorithm for the Subtraction Games

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arxiv 1208.3832 v2 pith:MW5U2EII submitted 2012-08-19 cs.GT

classification cs.GT
keywords gamessubtractionalgorithmsprague-grundytheoryadditionclasscombinatorial
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Subtraction games is a class of combinatorial games. It was solved since the Sprague-Grundy Theory was put forward. This paper described a new algorithm for subtraction games. The new algorithm can find win or lost positions in subtraction games. In addition, it is much simpler than Sprague-Grundy Theory in one pile of the games.

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