
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 "super ball" is dropped from a window 20 meters above the ground. On each bounce, it rises $\frac{2}{3}$ of the distance it fell. The ball is caught when it reaches the high point after bouncing off the ground for the third time. How far has it traveled in total?

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