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BG-MO 1978 Problem 3

    On the name day of a man there are 55 people. The men observed that of any 33 people there are 22 that knows each other. Prove that the man may order his guests around circular table in such way that every man have on its both side people that he knows.

    N. Nenov, N. Hazhiivanov

    Dataset text AI-MO AoPS. Quoted with source.

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