
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
Define $max\{a,b\}$ as the larger number between the real numbers $a$ and $b$. Given a sequence $\{a\_n\}$ that satisfies $a\_1=a (a > 0)$, $a\_2=1$, and $a\_{n+2}= \frac{2max\{a\_{n+1},2\}}{a\_n} (n∈N)$, if $a\_{2015}=4a$, denote the sum of the first $n$ terms of the sequence as $S\_n$. Determine the value of $S\_{2015}$.

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