
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
A chess tournament was held among the actors of the Karabas Barabas theater. Each participant played with each of the others exactly once. For a win, one received one soldo, for a draw - half a soldo, and for a loss - nothing. It turned out that among any three participants, there is a chess player who earned exactly 1.5 soldos in games with the other two. What is the maximum number of actors that could have participated in this tournament?

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