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RU-ALLRUSSIAN 2017 Problem 93

    There are 100100 dwarfes with weight 1,2,...,1001,2,...,100 . They sit on the left riverside. They can not swim, but they have one boat with capacity 100. River has strong river flow, so every dwarf has power only for one passage from right side to left as oarsman. On every passage can be only one oarsman. Can all dwarfes get to right riverside?

    Dataset text AI-MO AoPS. Quoted with source.

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