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BALTIC-WAY 1990 Problem 18

    Positive integers 1,2,…,100,1011,2, \ldots, 100,101 are written in the cells of a 101×101101 \times 101 square grid so that each number is repeated 101 times. Prove that there exists either a column or a row containing at least 11 different numbers.

    Dataset text NuminaMath olympiads. Quoted with source.

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