
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
There are 55 people in a sports school, each of whom is either a tennis player or a chess player. It is known that there are no four chess players who have an equal number of friends among the tennis players. What is the maximum number of chess players that can be in this school?

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