# Again, minimum value

Algebra Level 4

$\sqrt{x^2+y^2-xy}+\sqrt{(1-x)^2+(2-y)^2-(1-x)(2-y)}$

If $$0 < x < 1$$ and $$0 < y < 2,$$ then the minimum value of the expression above is $$s.$$ What is $$\lfloor 1000s\rfloor?$$

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