
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
For each positive integer \( n \), find all positive integers \( m \) which can be written as \( \frac{1}{a_1} + \frac{2}{a_2} + \ldots + \frac{n}{a_n} \) for some positive integers \( a_1 < a_2 < \ldots < a_n \).

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