
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 cube of edge $5$ cm is cut into $N$ smaller cubes, where not all cubes are the same size. Each edge of the smaller cubes is a whole number of centimeters. Calculate $N$.
A) 10
B) 16
C) 21
D) 25
E) 27

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