
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
An hour can be evenly divided into periods based on seconds; for example, 3600 periods of 1 second each, or 1800 periods of 2 seconds each, and so on. In total, how many ways are there to divide an hour into $n$ periods of $m$ seconds, where $n$ and $m$ are positive integers?

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