IL-GILLIS 2019 Problem 5
Guy has 17 cards. Each of them has an integer written on it (the numbers are not necessarily positive, and not necessarily different from each other). Guy noticed that for each card, the square of the number written on it equals the sum of the numbers on the 16 other cards.
What are the numbers on Guy's cards? Find all of the options.
Dataset text AI-MO AoPS. Quoted with source.
Solutions
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