
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 government has decided to privatize civil aviation. For each pair of the 202 cities in the country, the airline connecting them is sold to one of the private airlines. A mandatory condition of the sale is that each airline must ensure the possibility of traveling from any city to any other (possibly with several transfers). What is the maximum number of companies that can buy the airlines?

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