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MathNet 2023-part-03 — 191 problems (EN–VI) Question 121

Math Olympiad Vault · MathNet 2023-part-03 — 191 problems (EN–VI)

Question 121

Find the smallest integer $b$ with the following property: For each way of colouring exactly $b$ squares of an $8 \times 8$ chessboard green, one can place 7 bishops on 7 green squares so that no two bishops attack each other.

Remark. Two bishops attack each other if they are on the same diagonal.