Least value -1

Calculus Level 3

If aa is the least value of

(uv)2+(9u4v2)2, \sqrt{(u-v)^2+(\frac{9}{u}-\sqrt{4-v^2})^2},

then what is the value of a?\lfloor a \rfloor?

Note: u,vR.u,v \in \mathbb{R}.

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