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AUSTRIAN-POLISH 1986 Problem 8

    Pairwise distinct real numbers are arranged into an m×nm \times n rectangular array. In each row the entries are arranged increasingly from left to right. Each column is then rearranged in decreasing order from top to bottom. Prove that in the reorganized array, the rows remain arranged increasingly.

    Dataset text AI-MO AoPS. Quoted with source.

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