# The Lowest Score!

In a chess tournament, players get 1 point for a win, 0 points for a loss and $$\frac{1}{2}$$ point for a draw. In a tournament where every player plays against every other player exactly once, the top four scores were 5$$\frac{1}{2}$$ , 4$$\frac{1}{2}$$ , 4 and 2$$\frac{1}{2}$$ . What was the lowest score in the tournament?

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