
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 
\[\dfrac1{89^2}=0.\overline{c_{m-1}c_{m-2}\ldots c_2c_1c_0},\]
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) 712
B) 720
C) 836
D) 891

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