
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
If a cube with 4-inch edges is constructed using 64 cubes each with 1-inch edges, 48 white and 16 black, where the 16 black cubes are placed symmetrically at each end of the four main diagonals within the larger cube, calculate 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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