
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 positive integers  $n,$  let  $s(n)$  be the sum of the digits of  $n.$  Over all four-digit positive integers  $n,$  which value of  $n$  maximizes the ratio  $\frac{s(n)}{n}$ ?

*Proposed by Michael Tang*

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