anemone
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Let $$A_1$$, $$A_2$$, $$A_3$$ and $$A_4$$ represent the areas within the ellipse $$\frac{(x-19)^2}{19}+\frac{(y-98)^2}{98}=1998$$ that are in the first, second, third and fourth quadrants respectively. Determine the value of $$A_1-A_2+A_3-A_4$$