6.31 Team A and Team B each send out 7 players to participate in a Go relay match according to a pre-arranged order. Both sides start with the No. 1 player competing, the loser is eliminated, and the winner then competes with the No. 2 player from the losing side, $\cdots$, until all players from one side are eliminated, and the other side wins, forming a match process. How many different possible match processes are there?
[Solution] According to the problem, a match can have a maximum of 13 games. If Team A wins, they must win 7 games, so all possible outcomes total $C_{13}^{7}$. The same applies if Team B wins. Therefore, the total number of possibilities is
$$
2 C_{13}^{7}=3432
$$

If $a \leqslant b$, then add $a$ to both $a$ and $b$. Continue this process, and the table will eventually become one of the following two scenarios:

If $g \leqslant h$, then add $-g$ to both $g$ and $h$. If $g > h$, then add $g-h$ to both $r$ and $h$, and then add $g$ and $h+$