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CZ-SK-MO 2020 Problem 1

    Two positive integers mm and nn are written on the board. We replace one of two numbers in each step on the board by either their sum, or product, or ratio (if it is an integer). Depending on the numbers mm and nn , specify all the pairs that can appear on the board in pairs.

    (Radovan Švarc)

    Dataset text AI-MO AoPS. Quoted with source.

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