
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 that the sequences $\{a_{n}\}$ and $\{b_{n}\}$ satisfy $b_{n+1}a_{n}+b_{n}a_{n+1}=(-1)^{n}+1$, $b_{n}= \frac {3+(-1)^{n-1}}{2}$, for all positive integers $n$, and $a_{1}=2$, let $S_{n}$ denote the sum of the first $n$ terms of the sequence $\{a_{n}\}$. Find $S_{63}$.

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