
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 $M$ be the positive integer $8888\ldots888$, a $250$-digit number where each digit is an $8$. Let $g(r)$ be the leading digit of the $r$-th root of $M$. What is\[g(3) + g(4) + g(5) + g(7)+ g(8)?\]
**A)** 5
**B)** 6
**C)** 7
**D)** 8
**E)** 9

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