
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, with $48$ being colored blue and $16$ being colored yellow. If the $4$-inch cube is constructed to have the smallest possible yellow surface area showing, calculate the fraction of the surface area that is yellow.

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