
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
Team A and Team B each has 7 players who will compete in the predetermined order of a Go competition. The first players from each team compete first, and the loser is eliminated while the winner continues to compete against the next player from the losing team, and so on, until all members of one team are eliminated. How many possible sequences of matches are there until one team is completely eliminated?

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