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SHARYGIN 2007 Problem 5

    A non-convex nn-gon is cut into three parts by a straight line, and two parts are put together so that the resulting polygon is equal to the third part. Can nn be equal to: a) (8) five? b) (8-10) four?

    Official text Sharygin Geometry Olympiad 2007 official paper, page 1. Quoted with source.

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