
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 $n$ stations on a circular railway. Occasionally, station attendants communicate with each other via radio. At any given moment, only two people conduct a radio session. Over the course of a day, exactly one radio session occurs between every pair of stations. For each station (considering only its sessions), it turns out that the station communicated with other stations in the order of their location on the railway (either clockwise or counterclockwise, which may vary between stations), starting with one neighboring station and ending with the other. What can $n$ be equal to?

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