
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 cylindrical poles, one with a diameter of 8 inches and another with a diameter of 20 inches, are placed side by side and bound together with a wire. Determine the length of the shortest wire that can completely encircle both poles.
A) \( 8\sqrt{10} + 16\pi \)
B) \( 8\sqrt{10} + 17\pi \)
C) \( 8\sqrt{10} + 18\pi \)
D) \( 8\sqrt{10} + 17.4\pi \)
E) \( 16\sqrt{10} + 17\pi \)

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