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IL-GILLIS 1997 Problem 7

    A square with side 10610^6 , with a corner square with side 10−310^{-3} cut off, is partitioned into 1010 rectangles. Prove that at least one of these rectangles has the ratio of the greater side to the smaller one at least 99 .

    Dataset text AI-MO AoPS. Quoted with source.

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