
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
There are 10 cities in a state, and some pairs of cities are connected by 40 roads altogether. A city is called a "hub" if it is directly connected to every other city. What is the largest possible number of hubs?

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