
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
In a square with a side length of 4, four semicircles are inscribed such that each semicircle's diameter coincides with one side of the square. Calculate the area of the region within the square but outside all semicircles.
A) $16 - 6\pi$
B) $16 - 8\pi$
C) $16 - 4\pi$
D) $18 - 8\pi$
E) $14 - 8\pi$

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