
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
The Fibonacci sequence \( f_1, f_2, f_3, \ldots \) is defined by \( f_1 = f_2 = 1 \), \( f_{n+2} = f_{n+1} + f_n \). Find all \( n \) such that \( f_n = n^2 \).

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