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For a complex number z, let Re(z) denote the real part of z. Let S be the set of all complex numbers z satisfying

For a complex number z, let Re(z) denote the real part of z. Let S be the set of all complex numbers z satisfying z |z| = 4iz, where i =-1. Then the minimum possible value of |z - Z, where Z, Z S with Re(z) > 0 and Re(z)

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