
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 4. At each vertex of the square, congruent quarter-circles with a radius of 2 are drawn. The region inside the square but outside the quarter-circles is shaded. Calculate the area of the shaded region.
A) $12$
B) $16 - 2\pi$
C) $16 - 5\pi$
D) $16 - 4\pi$
E) $16 - 3\pi$

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