
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 25 meters above the ground. On each bounce, it rebounds to $\frac{2}{3}$ of the height it reached before hitting the ground. The ball is caught after hitting the ground for the fourth time. Compute the total distance traveled by this ball by the time it is caught.

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