
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
Let \( N \) be the positive integer \( 8888\ldots888 \), a \( 200 \)-digit number where each digit is \( 8 \). Let \( f(r) \) be the leading digit of the \( r \)th root of \( N \). What is \[ f(3) + f(4) + f(5) + f(6) + f(7)? \]
**A)** \( 6 \)  
**B)** \( 7 \)  
**C)** \( 8 \)  
**D)** \( 9 \)  
**E)** \( 10 \)

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