
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
Define a function $f(x)$ on $\mathbb{R}$ that satisfies $f(x) + f(x + 5) = 16$. When $x \in (-1, 4]$, $f(x) = x^2 - 2x$. The number of zeros of the function $f(x)$ in the interval $[0, 2013]$ is \_\_\_.

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