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MathNet 2019-part-06 — 184 problems (EN–VI) Question 57

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 57

What is the biggest number of queens of two colors (black and white) one can place on a chessboard, such that no two of them beat one another (the queens do not beat through each other)?

Note: The queen is able to move any number of squares vertically, horizontally or diagonally.