
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 \( m \geq 14 \) be an integer, and let \( f: \mathbf{N} \rightarrow \mathbf{N} \) be defined by
$$
f(n)=\left\{
\begin{array}{ll}
n-m+14 & \text{if } n > m^2, \\
f(f(n + m - 13)) & \text{if } n \leq m^2.
\end{array}
\right.
$$

Find all \( m \) such that \( f(1995) = 1995 \).

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