
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
In the Asia-Europe Table Tennis Challenge, each team has 5 players who participate in a knockout competition in a pre-arranged order. The competition starts with the No. 1 players from both sides, with the loser being eliminated and the winner facing the next player from the opposing team. This process continues until all players from one side are eliminated, declaring the other side as the winner. There are \_\_\_\_\_\_ possible sequences of matches.

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