
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 subway network, each line has at least 4 stations. There are no more than 3 transfer stations, and at each transfer station, no more than two lines intersect. If starting from any station, you can reach any other station with at most two transfers, what is the maximum number of lines that this network can have?

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