
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
Determine the least possible value of  $f(1998),$  where  $f:\Bbb{N}\to \Bbb{N}$  is a function such that for all  $m,n\in {\Bbb N}$ , 

\[f\left( n^{2}f(m)\right) =m\left( f(n)\right) ^{2}. \]

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