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IL-GILLIS 2018 Problem 1

    nn people sit in a circle. Each of them is either a liar (always lies) or a truthteller (always tells the truth). Every person knows exactly who speaks the truth and who lies. In their turn, each person says 'the person two seats to my left is a truthteller'. It is known that there's at least one liar and at least one truthteller in the circle.

    [list=a] [] Is it possible that n=2017?n=2017? [] Is it possible that n=5778?n=5778? [/list]

    Dataset text AI-MO AoPS. Quoted with source.

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