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IT-CESENATICO 2001 Problem 2

    In a basketball tournament every two teams play two matches. As usual, the winner of a match gets 22 points, the loser gets 00 , and there are no draws. A single team wins the tournament with 2626 points and exactly two teams share the last position with 2020 points. How many teams participated in the tournament?

    Dataset text AI-MO AoPS. Quoted with source.

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