
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 construction company "Roga and Kopyta" undertook the project of building a road 100 km long from Arbatova to Chernomorsk. The construction plan is as follows: in the first month, 1 km of the road will be built, and subsequently, if by the beginning of some month $A$ km is already completed, then during that month an additional $1 / A^{10}$ km of road will be constructed. Will the company complete the road?

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