
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
The concentration of pollutants in the exhaust gas produced by a certain chemical plant is $1.2mg/cm^{3}$, and each time the exhaust gas is filtered before emission, the concentration of the pollutant decreases by $20\%$. If the concentration must not exceed $0.2mg/cm^{3}$, determine the minimum number of times the exhaust gas needs to be filtered before emission.

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