Club Truncator is in a soccer league with six other teams, each of which it plays once. In any of its 6 matches, the probabilities that Club Truncator will win, lose, or tie are each $$\frac {1}{3}$$. The probability that Club Truncator will finish the season with more wins than losses is $$\frac {m}{n}$$, where $$m$$ and $$n$$ are relatively prime positive integers. Find $$m + n$$.

(第十九届AIME2 2001 第11题)