
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
The fraction
\[
\frac{1}{81^2} = 0.\overline{c_{m-1}c_{m-2}\ldots c_2c_1c_0},
\]
where \( m \) is the length of the period of the repeating decimal expansion. What is the sum \( c_0+c_1+\cdots+c_{m-1} \)?
**A)** 62
**B)** 64
**C)** 66
**D)** 68
**E)** 70

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