
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 and bounces back to half the height of its previous bounce each time it hits the ground. Determine the total distance the ball has traveled after the 10th bounce.

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