olymmath

MEMO 2023 T3

    Find the smallest integer bb with the following property: For each way of colouring exactly bb squares of an 8×88 \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.

    Official text Middle European Mathematical Olympiad 2023 official paper, page 1. Quoted with source.

    A model read this text from the scan of the paper by OCR, with vision/local (GLM-OCR-8bit). No person has checked it against the paper yet.

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