
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
A metro network has at least 4 stations on each line, with no more than three interchange stations. No interchange station intersects more than two lines. What is the maximum number of lines that such a network can have if you can travel from any station to any other by making no more than two interchanges?

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