
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
An entire floor is tiled with blue and white tiles. The floor has a repeated tiling pattern that forms every $8 \times 8$ square. Each of the four corners of this square features an asymmetrical arrangement of tiles where the bottom left $4 \times 4$ segment within each $8 \times 8$ square consists of blue tiles except for a $2 \times 2$ section of white tiles at its center. What fraction of the floor is made up of blue tiles?
A) $\frac{1}{2}$
B) $\frac{5}{8}$
C) $\frac{3}{4}$
D) $\frac{7}{8}$
E) $\frac{2}{3}$

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