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Given natural numbers x,y,zx, y, z x,y,z that satisfy x+y+z+xy+yz+zx+xyz=1000,x+y+z+xy+yz+zx+xyz=1000,x+y+z+xy+yz+zx+xyz=1000,
evaluate x2+y2+z2.x^{2}+y^{2}+z^{2}.x2+y2+z2.
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