
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 network of bus routes in the city of Lisse is arranged such that: a) each route has three stops; b) any two routes either do not share any stops or share exactly one common stop. What is the maximum number of routes that can exist in this city, given that there are a total of nine different stops?

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