Abstract:Triangular Nim, one variant of the game Nim, is a common two-player game in Taiwan and China. In the past, Hsu strongly solved 7 layer Triangular Nim while some of the authors recently strongly solved 8 layer Triangular Nim. The latter required 8 gigabytes in memory and 8878 seconds.Using a retrograde method, this paper strongly solves 9 layer Triangular Nim. In our first version, the program requires four terabytes in memory and takes about 129.21 days aggregately. In our second version, improved by removing … Show more
“…Based on the theory, playing or solving many combinatorial games such as Nim [3,4], Triangular Nim [5], Clobber [6] and Cutthroat [7] may simply become mathematical calculations, such as summation, instead of a complex tree search.…”
“…Based on the theory, playing or solving many combinatorial games such as Nim [3,4], Triangular Nim [5], Clobber [6] and Cutthroat [7] may simply become mathematical calculations, such as summation, instead of a complex tree search.…”
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