
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
If 12 rectangular cardboard pieces, each measuring 4 cm in length and 3 cm in width, are assembled to form a larger rectangle (which may include squares), without overlapping or leaving gaps, what is the minimum and maximum possible perimeter of the resulting rectangle in centimeters?

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