
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
$f(x)$ is an odd function defined on $\mathbb{R}$, and for any real number $x$, it always holds that $f(x+2)=-f(x)$. When $x \in [0, 2]$, $f(x)=2x-x^2$. Then, the value of $f(0)+f(1)+f(2)+\ldots+f(2013)$ is.

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