
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
A square has a side length of 12 cm. Four quarter circles are drawn with centers at the four corners of the square. What is the area of the shaded region formed by subtracting the areas of the quarter circles from the square? Express your answer in terms of $\pi$.

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