
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 pure water manufacturing plant reduces the impurities in water by \\(20\%\\) with each filtration process. To reduce the impurities to less than \\(5\%\\) of the original amount, the minimum number of filtrations required is \_\_\_\_\_\_\_\_. (Reference data: \\(\lg 2=0.301\\))

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