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对NimK博弈与SG值套用存疑

Posted by heavyshower at 2020-10-03 15:59:33 on Problem 2315
取石子堆数 N=4,每次最多取M=2堆, 每堆最多取X=2个。令石子数分别为 1,1,1,3, 按照理论做法, 取 SG 值为 1,1,1,0, 二进制下每一位做模 M+1 的做法, 结果为 0, 先手必败. 但事实上先手走到 0,1,1,1, 这是一个很显然的必败态, 即 1,1,1,3 实际上是必胜的.

所以说NimK博弈和SG值套用真的可以吗,还是说这题有另解/是假题?

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