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Let aaa be the minimum of x(x−4)−2y(x−y)x(x - 4) - 2y(x - y)x(x−4)−2y(x−y) as xxx and yyy range over all real numbers. What is the value of ∣a∣\vert a \vert∣a∣?
This problem is posed by Zi Song Y.
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