
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 cylinder has a height of $12$ and a radius of $5$. It is cut along its lateral surface from top to bottom and then laid flat. Determine the total surface area, including the two ends, of the cylinder.

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