
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
Lucy will paint 20 right, cylindrical posts. Only the curved surface of each post will be painted, not the top or bottom faces. Each post is 15 feet tall and has a diameter of 8 feet. One gallon of paint covers 300 square feet. How many gallons of paint must Lucy buy, considering that paint is only sold in full gallons?

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