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RU-ORAL-GEOMETRY 2019 Problem 2

    On the side ACAC of the triangle ABCABC in the external side is constructed the parallelogram ACDEACDE . Let OO be the intersection point of its diagonals, NN and KK be midpoints of BC and BA respectively. Prove that lines DK,ENDK, EN and BOBO intersect at one point.

    Dataset text AI-MO AoPS. Quoted with source.

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