
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 ball is dropped from a height of 20 meters and on each bounce, it rises to 80% of the height of the previous high point. The ball is caught after it reaches the high point after hitting the ground for the fourth time. To the nearest meter, how far has it traveled?

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