
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
Construct a 3D solid using fifteen unit cubes where the arrangement creates an L-shape structure. The bottom layer is a row of 6 cubes, positioned in a line. On top of the third cube from the left, stack another vertical column of three cubes. On top of this vertical column, to the right place another row of 5 cubes. Assume all cubes are perfectly aligned and only the surfaces on the outside are visible. Calculate the total exposed surface area.

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