olymmath

RU-ALLRUSSIAN 1975 Problem 4

    Given a 7×77 \times 7 square subdivided into 49 unit squares, mark the center of n unit squares, so that no four marks form a rectangle with sides parallel to the square. What is the largest n for which this is possible? What about a 13×1313 \times 13 square?

    Dataset text NuminaMath olympiads. Quoted with source.

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