
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 so that one can reach any city from any other city, possibly by passing through other cities. No two cities are connected by more than one direct road.

A road is called "strange" if closing it would prevent travel between some pair of cities. It is known that there are 45 roads in total in the country, out 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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