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DK-GEORGMOHR 2017 Problem 5

    In a chess tournament, each pair of players play one game. A lost game yields 0 points, a won game yields 1 point and a tied game yields 12\frac12 point. After the tournament, it turns out that in each group of three players, at least one got 1121 \frac12 points in the games against the two others. What is the largest number of players that may have participated?

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Georg Mohr Contest 2017 official paper, page 1.

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