
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 Wonderland, some cities are connected by roads in such a way that from any city, you can travel to any other city, possibly through some additional cities. No two cities are connected directly by more than one road.

Let's call a road "strange" if, upon closing it, it becomes impossible to travel from some city to some other city. It is known that there are a total of 45 roads in the country, of which 42 roads are strange. How many cities can there be in the country? If there are multiple correct answers, list them separated by commas or semicolons.

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