
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
A function $f(x)$ defined on $\mathbb{R}$ satisfies $f(x+5)=f(x)$, and is given by $f(x)= \begin{cases} -(x+3)^{2}, &-2\leqslant x < 0 \\ x, &0\leqslant x < 3 \\ \end{cases}$. Compute the value of $f(1)+f(2)+f(3)+⋯+f(2013)$.

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