IZhO 2024 Problem 4
The teacher has given 10 distinct positive numbers to his students. Serge found all their 45 pairwise sums; five of these sums are equal. Pete found all their 45 pairwise products. What maximum number of equal products can be among Pete’s numbers?
Official text International Zhautykov Olympiad 2024 official paper, page 1. Quoted with source.
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