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DE-BUNDESWETTBEWERB 2021 Problem 1

    A cube with side length 1010 is divided into two cuboids with integral side lengths by a straight cut. Afterwards, one of these two cuboids is divided into two cuboids with integral side lengths by another straight cut. What is the smallest possible volume of the largest of the three cuboids?

    Dataset text AI-MO AoPS. Quoted with source.

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