
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 $12 \times 12 \times 12$ transparent cube composed of $12^3$ unit cubes has one-unit gaps along all edges between adjacent unit cubes. What is the greatest number of unit cubes that can be seen or partially seen from one corner of this cube.

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