PL-OM 2006 Problem 4
Given a triplet we perform on it the following operation. We choose two numbers among them and change them into their sum and product, left number stays unchanged. Can we, starting from triplet and performing above operation, obtain again a triplet of numbers which are lengths of right triangle?
Dataset text AI-MO AoPS. Quoted with source.
Official text: Polish Mathematical Olympiad 2006 official paper, page 2.
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