
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 from $64$ smaller cubes, each with $1$-inch edge. Of these, $50$ cubes are colored blue, and $14$ are colored yellow. If crafted to display the minimum possible yellow surface area externally, find the fraction of the large cube's surface area that is yellow.

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