
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
We divide a solid cube with an edge length of \( n \) cm into 1 cm edge length cubes (\( n \) is a natural number). For which values of \( n \) is it possible to assemble a cube with an edge length of \( 2n \) cm from the obtained smaller cubes, if it is allowed to have a hollow interior in the assembled cube?

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