
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
Given a cylindrical noodle stick is rolled, folded, and stretched 10 times, with each folding and stretching operation doubling the diameter, calculate the ratio of the final diameter to the original diameter.

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