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Given that x,y,zx,y,zx,y,z are real numbers such that x3+y3+z3−3xyz=1 x^3 + y^3 + z^3 - 3xyz = 1 x3+y3+z3−3xyz=1 and xy+yz+zx=0xy + yz + zx = 0xy+yz+zx=0, find x2+y2+z2x^2 + y^2 + z^2 x2+y2+z2.
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