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Combinatorial games: modular \(n\)-queen. (English) Zbl 1061.05023

Summary: The classical \(n\)-queen problem has been used as a benchmark for goal searching in a solution space by the artificial intelligence community. The original problem was confined to 8 queens on a regular chessboard. Over the years, it has transformed into many forms.
In this paper, we talk about yet another variation of the \(n\)-queen problem, the modular \(n\)-queen problem, and ask if the readers are able to answer the open problems.

MSC:

05B99 Designs and configurations
91A46 Combinatorial games