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OPM 2021 Problem 3

    All sequences of kk elements (a1,a2,...,ak)(a_1,a_2,...,a_k) are considered, where each aia_i belongs to the set {1,2,...,2021}\{1,2,... ,2021\} . What is the sum of the smallest elements of all these sequences?

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Portuguese Mathematical Olympiad 2021 official paper, page 1.

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