
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 class has \( m \) students, and each student went to the swimming pool a certain number of times in September, with no one going twice on the same day. On October 1st, it was found that the number of times each student went to the pool was different, and for any two students, there is at least one day when the first student went to the pool but the second did not, and at least one day when the second student went to the pool but the first did not. Determine the maximum possible value of \( m \).

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