
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 $R_k$ is a number consisting of $k$ consecutive ones, calculate the number of zeros in the decimal representation of \(Q + S\) where \(Q = \frac{R_{32}}{R_8}\) and $S = 100000000$ (one hundred million).
A) 6   
B) 8   
C) 15  
D) 20  
E) 29

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