
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
The distances from three vertices of a parallelepiped to the opposite faces are equal to 2, 3, and 4. The total surface area of the parallelepiped is 36. Find the areas of the faces of the parallelepiped.

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