
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 sequence $\{a\_n\}$ is an arithmetic sequence with first term 1 and common difference 2. The sequence $\{b\_n\}$ satisfies the relationship $\frac{a\_1}{b\_1} + \frac{a\_2}{b\_2} + \frac{a\_3}{b\_3} + \dots + \frac{a\_n}{b\_n} = \frac{1}{2^n}$. The sum of the first $n$ terms of the sequence $\{b\_n\}$ is denoted as $S\_n$. Find the value of $S\_4$.

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