
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 are standing equally spaced on a circle of radius 40 feet. Each boy walks to every third boy following him in sequence on the circle, shakes his hand, and returns to his original spot on the circle before the next boy starts his trip. After all eight boys have done this, what is the least distance in feet that could have been traveled? Express your answer in simplest radical form.

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