
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 small town, there is only one tram line. It is a circular line, and trams run in both directions. On the circle, there are stops named Circus, Park, and Zoo. The distance from Park to Zoo via Circus is three times longer than not via Circus. The distance from Circus to Zoo via Park is twice as short as not via Park. Which route from Park to Circus—via Zoo or not via Zoo—is shorter and by how many times?

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