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From module Cauchy-Schwarz Inequality
Real numbers xxx, yyy, and zzz satisfy the equations x+y+z=1x + y + z = 1x+y+z=1 and x2+y2+z2=2x^2 + y^2 + z^2 = 2x2+y2+z2=2. What is the maximum value of zzz?
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