
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 round-robin tournament. In each round, two people compete in a singles match while the third person acts as the referee. The loser of each round becomes the referee for the next round, and the previous referee challenges the winner. After the tournament, it was found that A played in 5 rounds, B played in 6 rounds, and C acted as the referee in 2 rounds. Determine the total number of rounds played in the tournament.

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