
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
Eight boys stood equally spaced on a circle of radius 40 feet. Each boy walked to all of the other non-adjacent boys on the circle, shook their hands, and returned to his spot before the next boy started his round. How much distance in feet was the minimum that could have been traveled by all boys combined? Express your answer in simplest radical form.

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