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arXiv 1806.05657cs.CC
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输给对手很难

Losing at Checkers is Hard

Jeffrey Bosboom, Spencer Congero, Erik D. Demaine, Martin L. Demaine, Jayson Lynch

摘要:

我们证明了各种各样的跳棋的计算困难性:(1)决定是否有一个移动,迫使其他球员赢得在一个移动是NP完全的;(2)跳棋,球员必须总是能够跳到他们的回合是PSPACE完全的;(3)合作版本(1)和(2)是NP完全的。我们也给合作跳棋难题的解决方案是字母表中的字母。

英文摘要:

We prove computational intractability of variants of checkers: (1) deciding whether there is a move that forces the other player to win in one move is NP-complete; (2) checkers where players must always be able to jump on their turn is PSPACE-complete; and (3) cooperative versions of (1) and (2) are NP-complete. We also give cooperative checkers puzzles whose solutions are the letters of the alphabet.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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