# Maximizing the Almost Twin Expressions!

Algebra Level 5

$\large{\dfrac{x}{1-yz} + \dfrac{y}{1-zx} + \dfrac{z}{1-xy} }$

$\large{\dfrac{x}{1+yz} + \dfrac{y}{1+zx} + \dfrac{z}{1+xy} }$

Suppose that $$x,y,z \geq 0$$ and $$x^2 + y^2 + z^2 = 1$$. Let the maximum values of the expressions above be $$A$$ and $$B$$. Then find the value of $$\lfloor 100(A+B) \rfloor$$.

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