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CZ-SK-MO 2024 Problem 4

    There were 1010 boys and 1010 girls at the party. Every boy likes a different 'positive' number of girls. Every girl likes a different positive number of boys. Define the largest non-negative integer nn such that it is always possible to form at least nn disjoint pairs in which both like the other.

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Czech-Slovak Mathematical Olympiad 2024 official paper, page 1.

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