
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 circular cylindrical pole has a circumference of 6 feet. A string is wrapped around this pole, spiraling steadily from the bottom to the top. The string makes five complete loops around the pole, starting at the bottom edge and finishing at the top edge. The height of the pole is 20 feet. Next to this pole is a smaller cylindrical pole with a circumference of 3 feet and height of 10 feet, around which the string wraps three complete times under the same conditions. Calculate the total length, in feet, of the string wrapped around both poles.

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