What is the maximum number of queens that can be placed on a standard 8x8 chessboard such that no one of them is capable of attacking any of the others in a single move?




Obviously, you can't have more than 8, since you would have a row (and column) with more than one queen on it.

According to Wolfram-Alpha, there are

12 unique solutions, plus an additional 80 solutions from rotation/reflection.

One possible solution is:

8 Queens not attacking each other.  Image from codereview.stackexchange.com

A list (and images!) of all

12 base solutions can be found both at the above Wolfram-Alpha link and Wikipedia. (Thank you Kevin for the link).


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