
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 three vertical poles are aligned in a straight line on a region of flat ground. The first and second poles are 16 feet apart, and the second and third poles are 18 feet apart. The first pole is 8 feet tall, the second pole is 22 feet tall, and the third pole is 10 feet tall. How long, in feet, is a wire stretched from the top of the first pole to the top of the second pole and then to the top of the third pole?

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