
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 \( n \), define \( s(n) \) to be the sum of the digits of \( n \). For example, \( s(2014) = 2+0+1+4 = 7 \). Determine all positive integers \( n \) with \( 1000 \leq n \leq 9999 \) for which \( \frac{n}{s(n)} = 112 \).

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