
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
The book "Zhang Qiujian Suanjing" is a masterpiece in the history of Chinese ancient mathematics. It contains a series of problems recorded in an ancient folk song: "There is a bamboo tree on the southern mountain. The tail of the bamboo was cut off by the wind, leaving thirty nodes. Each node has a circle at the top. The height of the first node is five inches, the circumference of the first circle is one foot three, and each node is three fen more than the one below, and each circle is three fen less than the one below. An ant crawls up and crawls around each circle it encounters. How far does the ant travel when it reaches the top of the bamboo?" (Note: 1 inch is equal to 1/10 of a foot; the height of the first node is 0.5 feet; the circumference of the first circle is 1.3 feet; each node is 0.03 feet more than the one below; each circle is 0.013 feet less than the one below)

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