
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 larger cube with 4-inch edges is constructed using 64 smaller cubes, each with a 1-inch edge, where 48 are white and 16 are black. All black cubes occupy the corners of the larger cube. Determine the fraction of the surface area of the larger cube that is white.

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