
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 Karabas Barabas theater, a chess tournament took place among the actors. Each participant played exactly one match against each of the other participants. A win awarded one solido, a draw awarded half a solido, and a loss awarded nothing. It turned out that among every three participants, there was one chess player who earned exactly 1.5 solidos in the games against the other two. What is the maximum number of actors that could have participated in such a tournament?

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