
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
Given the sequence $\{a\_n\}$, where $a\_1=a (0 < a\leqslant 2)$, and $a\_{n+1}= \begin{cases} a\_n-2,(a\_n > 2) \\ -a\_n+3,(a\_n\leqslant 2) \end{cases} (n\in\mathbb{N}^{*})$, let $S\_n=a\_1+a\_2+…+a\_n$. If $S\_n=2016$, then $n=$____.

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