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Mathematics, 06.08.2021 18:50 Wildstyle3000

Let a1, a2, . . . , a2019 be a sequence of real numbers. For every five indices i, j, k, `, and m from 1 through 2019, at least two of the numbers ai , aj , ak, a` , and am have the same absolute value. What is the greatest possible number of distinct real numbers in the given sequence

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