
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 which is circular, and trams run both directions on it. The stops on the circle are Circus, Park, and Zoo. The distance by tram from Park to Zoo via Circus is three times longer than the distance not via Circus. The distance from Circus to Zoo via Park is half as long as the distance not via Park. Which route from Park to Circus - via Zoo or not via Zoo - is shorter and by how much?

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