
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 square is originally painted black. Every time the square undergoes a change, one-third of each black region turns white. After three such changes, what fractional part of the original area of the square remains black?
A) $\frac{1}{3}$
B) $\frac{8}{27}$
C) $\frac{2}{9}$
D) $\frac{1}{9}$

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