
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 city has 57 bus routes which satisfy the following conditions:
(1) From any station, it is possible to directly reach any other station without changing buses;
(2) Any two routes have exactly one shared station where passengers can transfer from one route to the other;
(3) Each route has at least 3 stations.

How many stations are there on each of the 57 routes?

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