
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 125 small cube blocks to form a larger cube, some of the small cube blocks on the surface of the larger cube are painted. The painting on the opposite pairs of faces - top and bottom, left and right, front and back - corresponds to each other. Among these 125 small cube blocks, there are $\qquad$ blocks that have none of their faces painted.

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