
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 2-gallon can of paint is used to paint a room. Half of the paint is used on the first day. On the second day, a quarter of the remaining paint is used. On the third day, one third of the remaining paint is used. What fraction of the original amount of paint is available for use on the fourth day?

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