
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
The function $y=f(x)$ satisfies $f(x+2)=f(-x)$ for any $x \in \mathbb{R}$, and the graph of $y=f(x-1)$ is symmetric about the point (1,0). If $f(1)=4$, find the value of $f(2016)+f(2017)+f(2018)$.

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