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Geometry Level 3

Given constants λ,μ+\lambda ,\mu \in { \Re }^{ + }, consider the set of points x,yx, y such that 2x+y+λ+xy+μ4. 2 \leq \left| x+y+\lambda \right| + \left| x-y+\mu \right| \leq 4.

What is the area of this region ?

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