
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
If point O and point F are the center and the left focus of the ellipse $3x^2+4y^2=12$ respectively, and point P is any point on the ellipse, then the maximum value of $$\overrightarrow {OP} \cdot \overrightarrow {FP}$$ is \_\_\_\_\_\_.

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