
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
Fold a piece of paper with a thickness of 0.0384mm over and over again. Estimate the minimum number of folds required for its thickness to exceed the distance from the Moon to the Earth. (The distance to the Moon is about 384,000 kilometers, and $\lg 2 \approx 0.3010$)

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