# Equal but different

In a round robin tournament with $$N$$ teams, every 2 teams play in a head-to-head match. Points are awarded as follows: 3 points for a win, 1 points for a tie and 0 points for a loss.

What is the smallest value of $$N$$, such that it is possible for all the teams to have the same number of points, but for (at least) two teams to win a different number of matches?

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