
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 polynomial $R(x)=1-\dfrac{1}{4}x+\dfrac{1}{8}x^2$, define 
\[S(x)=R(x)R(x^3)R(x^5)R(x^7)R(x^{11})=\sum_{i=0}^{70} b_i x^i.\]
Find $\sum_{i=0}^{70} |b_i|$.

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