
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 a wagon, every  $m \geq 3$  people have exactly one common friend. (When  $A$  is  $B$ 's friend,  $B$  is also  $A$ 's friend. No one was considered as his own friend.) Find the number of friends of the person who has the most friends.

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