A variant of Nim

作者：Gray D; Locke S C^*

来源：Discrete Mathematics, 2018, 341(9): 2485-2489.

DOI：10.1016/j.disc.2018.05.019

• Nim variant
• Grundy number

We discuss a version of Nim in which players are allowed to use a move from the traditional form of Nim or to split a pile after adding some predetermined number q of coins to the pile. When q is odd or negative, the play proceeds as in regular Nim. For q even and non-negative, we find three patterns: q = 0, q = 2 and q >= 4.

• 出版日期2018-9