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x,y,x,y,x,y, and zzz are real numbers satisfying x2+y2=1x^2+y^2 =1x2+y2=1 and y+z=1y+z=1y+z=1.
Let MM M and mmm be the maximum and minimum values of the expression x+2y+zx+2y+zx+2y+z, respectively.
Find M+mM+mM+m.
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