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An ellipse passes through the points (0,−1)(0,-1)(0,−1), (2,0)(2,0)(2,0), and (−2,2)(-2,2)(−2,2) and encloses minimum possible area.
Ax2+Bxy+Cy2+Dx+Ey+F=0Ax^2+Bxy+Cy^2+Dx+Ey+F=0Ax2+Bxy+Cy2+Dx+Ey+F=0 is the equation representing the ellipse, where AAA and BBB are positive coprime integers.
Find A+B+C+D+E+FA+B+C+D+E+FA+B+C+D+E+F.
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