
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 jar has a base circumference of 10 inches and a height of 8 inches. Two spiral strips are painted on the jar: one starts from the bottom and winds around the jar exactly once, reaching the top directly above its start point, while another does the same but starts from the top and winds downward to the bottom. Calculate the length in inches of each stripe.

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