Winning Strategies and Complexity of Nim-Type Computer Game on Plane
Boris S. Verkhovsky
DOI: 10.4236/ijcns.2010.310106   PDF    HTML     5,743 Downloads   10,126 Views   Citations


A Nim-type computer game of strategy on plane is described in this paper. It is demonstrated that winning strategies of this two-person game are determined by a system of equations with two unknown integer sequences. Properties of winning points/states are discussed and an O(loglogn) algorithm for the winning states is provided. Two varieties of the Game are also introduced and their winning strategies are analyzed.

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B. Verkhovsky, "Winning Strategies and Complexity of Nim-Type Computer Game on Plane," International Journal of Communications, Network and System Sciences, Vol. 3 No. 10, 2010, pp. 793-800. doi: 10.4236/ijcns.2010.310106.

Conflicts of Interest

The authors declare no conflicts of interest.


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