删除Nim的一些扩展
Some extensions of Delete Nim
摘要：
Nim是一个众所周知的组合游戏，有几个变体，例如，删除Nim和变体删除Nim。在变体删除尼姆中，玩家删除两堆石头中的一堆，并在他/她的回合中分裂另一堆。在本文中，我们讨论了广义的变体删除Nim，它将石头堆的数量概括为三个或更多，除一之外的全部删除Nim，半删除Nim，不超过半删除Nim和单删除Nim。我们研究了这些博弈的输赢条件。
英文摘要：
Nim is a well-known combinatorial game with several variants, e.g., Delete Nim and Variant Delete Nim. In Variant Delete Nim, the player deletes one of the two heaps of stones and splits the other heap on his/her turn. In this paper, we discuss generalized Variant Delete Nim, which generalizes the number of stone heaps to three or more, All-but-one-delete Nim, Half-delete Nim, No-more-than-half-delete Nim, and Single-delete Nim. We study the win-loss conditions for each of these games.
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。
