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CH-SMO 2021 Problem 5

    For which integers n≥2n \ge 2 can we arrange numbers 1,2,…,n1,2, \ldots, n in a row, such that for all integers 1≤k≤n1 \le k \le n the sum of the first kk numbers in the row is divisible by kk ?

    Dataset text AI-MO AoPS. Quoted with source.

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