
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
Determine the area enclosed by the graph of the equation $x^2 + y^2 = 2|x| + 2|y|$.
A) $4\pi$
B) $2\pi + 8$
C) $8$
D) $2\pi + 4$
E) $2\pi + 2\sqrt{2}$

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