
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, where $48$ cubes are colored blue and $16$ are colored yellow. Find the fraction of the surface area of the resulting cube that is yellow when it is constructed to have the smallest possible yellow surface area showing.

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