
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 painter has 2 gallons of paint. On the first day, half of the paint is used. On the second day, half of the remaining paint is used. What fraction of the original amount of paint remains available for use on the third day?

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