
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 general term formula of the sequence $\{a\_n\}$ is given by $a\_n=2^{n}\cos \frac{nπ}{2}$, where $n \in \mathbb{N}^*$. Let $S\_n$ denote the sum of the first $n$ terms. Find the value of $S\_{2016}$.

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