
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
Pour 1 liter of pure alcohol from a container filled with 2 liters of pure alcohol, then fill it with water. After pouring out 1 liter of the mixed solution, fill it with water again. Continue this process. How many times must this process be repeated to make the volume ratio of pure alcohol to the total solution less than 10%?

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