Least value -1

Calculus Level 3

If \(a\) is the least value of

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

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

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

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