MarioYC's blog

Grundy numbers for possibly cyclic games
By MarioYC, 13 years ago, In English
I was reading this to try to understand how to calculate grundy numbers for cyclic games. However I don't get why there are some infinite positions where the first player wins.

Also to implement the algorithm, would I need a boolean matrix M[v][x] to know whether a vertex (v) has a son which a grundy number value equal to some number (x) ? or is it possible to use less memory (this would be about O(V^2) for V states considering we can get values up to V - 1) ?
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13 years ago, # |
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Grundy function usually takes small values. Initilize vector M[v] with 10 elements and then enlarge it if necessary.
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