
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 triangle ABC is an isosceles right triangle with hypotenuse AB equal to 16 cm. The hypotenuse AB serves as the diameter of a semicircle. The other two sides of the triangle, AC and BC, are radii of two smaller semicircles with diameters AC and BC, respectively. Each vertex of the triangle is a center for the smaller semicircles, creating overlapping areas within the triangle. Calculate the area of the portion of triangle ABC that is not covered by the semicircles.

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