
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 100 meters. Each time it falls to the ground, it bounces back to half of its previous height. Calculate the total distance the ball has traveled by the time it hits the ground for the 8th time.

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