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TR-MO-R1 2011 Problem 16

    Ağırlıkları pozitif tam sayılar olan herhangi 20112011 taş, biri diğerinin iki katı ağırlıkta iki taş içermeyen nn öbeğe ayrılabiliyorsa, nn en az kaç olabilir?

    a) 102102 b) 5151 c) 1212 d) 1111 e) Hiçbiri

    Official text Turkish Mathematical Olympiad, first round 2011 official paper, page 5. Quoted with source.

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