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TR-MO-R1 2022 Problem 11

    a1<a2<⋯<a2022a_1 < a_2 < \cdots < a_{2022} pozitif tam sayılar olmak üzere, 1a1+2a2+⋯+2022a2022\frac{1}{a_1} + \frac{2}{a_2} + \cdots + \frac{2022}{a_{2022}} şeklinde yazılabilen kaç pozitif tam sayı vardır?

    a) 100 b) 501 c) 812 d) 1011 e) 2022

    Official text Turkish Mathematical Olympiad, first round 2022 official paper, page 7. Quoted with source.

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