
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
Three cylindrical poles with diameters of $6$ inches, $18$ inches, and $12$ inches are placed side by side and bound together with a wire. Calculate the length of the shortest wire that can completely wrap around all three poles.
**A)** $6\sqrt{3} + 6\sqrt{6} + 18\pi$
**B)** $6\sqrt{3} + 6\sqrt{6} + 16\pi$
**C)** $12\sqrt{3} + 18\pi$
**D)** $12\sqrt{3} + 12\pi$
**E)** $18\sqrt{3} + 18\pi$

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