
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
Twelve unit cubes are glued together to form a solid block. The base of the solid consists of two layers of 3x2 cubes. On top of this base, in the center, two additional cubes are stacked. Calculate the total surface area of the resulting solid.

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