
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
Three people, A, B, and C, participate in a table tennis match. The rules are: two people compete while the other serves as the referee, and the loser becomes the referee in the next round. There are no ties in any round. Given that A played 5 rounds, B played 4 rounds, and C served as the referee twice. In total, they played \_\_\_\_\_\_\_\_\_ rounds.

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