
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
Using 1024 small cubes with an edge length of 1 to form a rectangular prism with a volume of 1024. After coloring all six faces of this rectangular prism, what is the maximum number of small cubes that are not colored on any of their faces?

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