
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…888, a 200-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(2) + g(4) + g(6) + g(8) + g(10)?

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