
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
A circle with center \( O \) has a radius \( 10 \) units and another circle with center \( P \) has a radius \( 3 \) units. The circles are externally tangent to each other at point \( Q \). Segment \( UV \) is the common external tangent to circle \( O \) and circle \( P \) at points \( U \) and \( V \), respectively. What is the length of segment \( OP \)?

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