
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 14 cm. At each corner of the square, a quarter circle is drawn with a radius of 7 cm. Inside the square, there is a smaller concentric square whose sides are parallel to the larger square and whose side is half the length of the larger square. Calculate the area of the shaded region outside the smaller square but within the four quarter circles.

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