Unformatted text preview: identiﬁed with a heap size, and the left-most slot is numbered 0. So a game with a single coin is single-heap nim, and if there are two coins on the same slot, this means that the corresponding nim game has two heaps of the same size, etc. If a coin moves to the left-most slot, that is equivalent to reducing that heap to 0. Now Bouton’s solution can be applied to Nimble, and the starting P-positions are those in which the nim-sum of the initial coin positions is 0. 1...
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- Spring '09
- Combinatorial game theory, Nim, bouton, Nimber, left-most slot, corresponding nim game