
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 with an edge length of 4 cm is divided into smaller cubes, such that all cubes do not have the same size and each cube's edge length is an integer. Find the value of $N$, the total number of these smaller cubes.
A) 28
B) 30
C) 31
D) 34
E) 36

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