
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 cylindrical trash bin has a base circumference of 18 inches and a height of 10 inches. A spiral strip is painted such that it winds around the cylinder exactly once as it rises from the bottom to the top, ending 6 inches horizontally from the spot it started. What is the length in inches of the strip?

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