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DK-GEORGMOHR 2019 Problem 3

    Seven positive integers are written on a piece of paper. No matter which five numbers one chooses, each of the remaining two numbers divides the sum of the five chosen numbers. How many distinct numbers can there be among the seven?

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Georg Mohr Contest 2019 official paper, page 1.

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