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arXiv 1608.01609math.HOmath.CO
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设计peg纸牌游戏

Designing peg solitaire puzzles

George I. Bell

摘要:

挂钩纸牌是一个古老的难题与300年的历史。我们考虑两种方法可以利用计算机找到有趣的扑克纸牌游戏。这是常见的一个钉纸牌难题开始从一个对称的董事会的立场,我们已经计算出可解的对称董事会的立场,四个董事会的形状。一个新的想法是寻找董事会的立场,有一个独特的开始跳转导致一个解决方案。我们展示了这种搜索技术发现的许多具有挑战性的难题。聪明的求解者可以利用唯一性来帮助解决这些难题。

英文摘要:

Peg solitaire is an old puzzle with a 300 year history. We consider two ways a computer can be utilized to find interesting peg solitaire puzzles. It is common for a peg solitaire puzzle to begin from a symmetric board position, we have computed solvable symmetric board positions for four board shapes. A new idea is to search for board positions which have a unique starting jump leading to a solution. We show many challenging puzzles uncovered by this search technique. Clever solvers can take advantage of the uniqueness property to help solve these puzzles.

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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