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arXiv · 1307.4543

Complete Solutions for a Combinatorial Puzzle in Linear Time

Lei Wang·Xiaodong Wang·Yingjie Wu·Daxin Zhu
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Abstract

In this paper we study a single player game consisting of $n$ black checkers and $m$ white checkers, called shifting the checkers. We have proved that the minimum number of steps needed to play the game for general $n$ and $m$ is $nm + n + m$. We have also presented an optimal algorithm to generate an optimal move sequence of the game consisting of $n$ black checkers and $m$ white checkers, and finally, we present an explicit solution for the general game.

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Lei Wang, Xiaodong Wang, Yingjie Wu, Daxin Zhu. 2013-07-17. Complete Solutions for a Combinatorial Puzzle in Linear Time. https://arxiv.org/abs/1307.4543

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