
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
In the Cartesian coordinate system $xOy$, points $A$ and $B$ are on the parabola $y^2=4x$, satisfying $\overrightarrow{OA} \cdot \overrightarrow{OB} = -4$. $F$ is the focus of the parabola. Then, the product of the areas of triangles $\triangle OFA$ and $\triangle OFB$ is \_\_\_\_\_\_.

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