
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 function \( f(x) \) is an odd function defined on \( \mathbf{R} \) and \( f(2)=0 \). For any \( x \in \mathbf{R} \), the equation \( f(x+4)=f(x)+f(4) \) holds. Find \( f(2002) \).

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