maximize v+1 + (v+1-\dfrac12(1+v)^2)^(2/3) + (2-\dfrac12(1+v)^2)^(1/2)maximize v+1 + (v+1-\dfrac12(1+v)^2)^(2/3) + (2-\dfrac12(1+v)^2)^(1/2)

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