
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 class, there are \( m \) students. Each of them visited the swimming pool several times during September; nobody visited the pool twice in one day. On October 1st, it was found that the number of pool visits for each student was different. Moreover, for any two students, there was always a day when the first student visited the pool and the second did not, and a day when the second student visited the pool and the first did not. Find the maximum possible value of \( m \). (September has 30 days.)

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