
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
Given that the even function $f(x)$ satisfies $f(2 + x) = f(2 - x)$ for all $x \in \mathbb{R}$, and when $-2 \le x \le 0$, $f(x) = \log_2(1 - x)$, find the value of $f(2011)$.

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