
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
Jennifer has a $3 \times 3 \times 3$ inch Vanilla cake that she wants to cut into $27$ smaller cubes, each of size $1 \times 1 \times 1$ inch. This cake has icing on the top, the front, and the back faces, but no icing on the bottom, left, and right faces. How many of these smaller cubes will have icing on exactly two faces?
A) 2
B) 4
C) 6
D) 8

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