
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
In an ancient Chinese mathematics text, a problem about a broken bamboo is recorded: "Today, there is a bamboo stalk that is two zhang high. The top of the bamboo is broken and touches the ground, and the distance from the tip to the base of the bamboo is six chi. What is the height of the break?" In modern terms: There is a bamboo stalk (standing vertically) with an original height of two zhang (1 zhang = 10 chi), but it has been broken by the wind. The tip of the bamboo now rests on the ground, and the distance between the bamboo tip and the bamboo root is six chi. Determine the height of the break from the ground in chi.

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