
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
Given a cylindrical log with a length of 2 zhang and 4 chi, and a circumference of 5 chi, where 1 zhang equals 10 chi, find the minimum length of the kudzu vine that starts growing at the base of the cylinder, wraps around the cylinder twice, and ends up even with the top of the log.

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