
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
In a certain country, there are 100 cities. Each city is connected by direct two-way air routes to three other cities. Furthermore, it is possible to travel from any city to any other city, possibly with transfers. Vasya wants to travel from city A to city B. What is the minimum number of flights that will always be enough for him to reach his destination?

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