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An ellipse passes through the points (0,-1), (2,0), (-2,2) and encloses minimum possible area. Find the equation of the ellipse.
You are given the word EVIL and the numbers 2, 3, 4, and 5.
You are to take each number and change a letter in EVIL for
the one that number of places forward or backward in the alphabet:
for example, you can replace E with the letter 2 places later (G)
or earlier (C) in the alphabet, or 3 places later or earlier, or 4
places later or earlier, etc. Use each number once and each letter
once. You can "wrap around" the alphabet: consider the letter after
Z to be A, and the letter before A to be Z. When done correctly, you
will find the name of a Shakespearean character
who was, appropriately enough, very evil. Who is this character?
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