
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
Seven friends stood equally spaced on a circle of radius 30 feet. Each friend walked to all of the other non-adjacent friends on the circle, shook hands, and then returned to their original spot before the next person started. Calculate the minimal total distance traveled by all friends, with your answer in simplest radical form.

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