
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Teams A and B each have 7 members who appear in a predetermined order to compete in a Go game relay. The first player of each team competes first; the loser is eliminated, and the winner advances to compete against the next player of the losing team. This process continues until all the players of one team are eliminated. The other team wins, forming a competition sequence. What is the total number of possible competition sequences? $\qquad$ .

Present the answer in LaTex format: \boxed{Your answer}
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