
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 $ABCD$ with side length $8$ units undergoes a process where it is subsequently divided into four smaller congruent squares by halving each side, and the top left square is uniformly shaded each time. This dividing and shading process is repeated infinitely. Find the total area of the shaded squares.
A) $\frac{48}{3}$
B) $\frac{64}{3}$
C) $\frac{72}{3}$
D) $\frac{96}{3}$

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