# Minima or what?

Algebra Level pending

The minimum value of $$2x^2+2xy+y^2+2x-3y+8$$ for real numbers $$x$$ and $$y$$ is $$p$$$$.$$ Then find the value of $$\lfloor p \rfloor$$.

 Notation: $$\lfloor \cdot \rfloor$$ denotes the floor function.

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