
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 diagram below represents the Shanghai metro system, where the points represent different metro stations and the lines represent different metro lines. Xiao Ming is a student who wishes to find a route that allows him to pass through all the stations. He can start at any station and end at any station (as long as he passes through all the stations). Assuming he must repeat passing through \( n \) stations, what is the minimum value of \( n \)?

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