
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 rods, one with a diameter of 4 inches and another with a diameter of 16 inches, are placed side by side and bound together using a wire. Find the length of the shortest wire that will encircle both rods.
A) $16 + 8\pi$ inches
B) $16 + 10\pi$ inches
C) $16 + 12\pi$ inches
D) $18 + 10\pi$ inches

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