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<p>Makino defined 2-<span>pile divisor nim</span> as a variation of 2-pile <span>nim</span>. In this paper, we generalize it to <i>m</i>-<span>pile divisor nim</span> and give a winning strategy. Moreover, we also show that the nim-value of a position of <i>m</i>-<span>pile divisor nim</span> is periodic.</p>

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Winning strategy and periodicity of m-pile divisor Nim

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月28日

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  • Takayuki Morisawa

摘要

Makino defined 2-pile divisor nim as a variation of 2-pile nim. In this paper, we generalize it to m-pile divisor nim and give a winning strategy. Moreover, we also show that the nim-value of a position of m-pile divisor nim is periodic.