
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 number  $2.5081081081081\ldots$  can be written as  $\frac{m}{n}$  where  $m$  and  $n$  are natural numbers with no common factors. Find  $m + n$ .

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