
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
Let \( N \) be the set of all positive integers, and let \( f \) be a function from \( N \) to \( N \) such that for any \( s \) and \( t \) in \( N \), the following condition is satisfied:
$$
f\left(t^{2} f(s)\right)=s(f(t))^{2}.
$$

Determine the minimum possible value of \( f(1998) \) among all such functions \( f \).

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