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MathNet 2011 Question 61

Math Olympiad Vault · MathNet 2011

Question 61

Several chess players took part in a chess tournament. Each participant played exactly one game with any other participant. A participant received $1$ point for a win, $0.5$ point for a draw, and $0$ point for a lose. Any two players received different numbers of points and the participant taking the last place received $2.5$ points.
What is the smallest number of the wins of the participant taking the first place?