
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 period of 16 hours and 48 minutes can be evenly divided into 60,480 periods of 1 second; 30,240 periods of each 2 seconds; or in many other ways. In total, how many ways are there to divide this period into $n$ periods of $m$ seconds, where $n$ and $m$ are positive integers?

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