
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 cube with $4$-inch edges is to be constructed from $64$ smaller cubes with $1$-inch edges. Forty-four of these cubes are colored green and $20$ are colored blue. If the $4$-inch cube is constructed to have the smallest possible blue surface area showing, what fraction of the surface area is blue?
**A)** $\frac{1}{16}$
**B)** $\frac{1}{12}$
**C)** $\frac{1}{8}$
**D)** $\frac{1}{6}$
**E)** $\frac{1}{4}$

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