
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
The bottoms of two vertical poles, located on a flat ground region, are 20 feet apart. One pole is 12 feet tall and the other is 20 feet tall. A wire is stretched between the top of the two poles. Additionally, another wire is connected from each pole's top to a point on the ground exactly halfway between the two poles. Calculate the total length of the wire used.

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