
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
Two circles touch externally. A tangent to the first circle passes through the center of the second circle. The distance from the point of tangency to the center of the second circle is three times the radius of the second circle. By what factor is the circumference of the first circle greater than the circumference of the second circle?

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