# least value of f(x,y)

Level pending

If $$f(x,y) = \sqrt{x^2+y^2} + \sqrt{(x-1)^2 + y^2} +\sqrt{x^2+(y-1)^2} + \sqrt{(x-3)^2+(y-4)^2}$$.

If least value of $$f(x,y) = a+b\sqrt{c}$$, where $$a,b,c$$ are positive integers and $$x,y\in \mathbb{R}$$. Then $$a+b+c =$$

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