yujhtheyujh Contest 1 - P10

Contributed by: yujhtheyujh

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Difficulty: 10

This problem is tagged with yty, yty1.

Find the minimum value of $\sqrt{x^2+y^2}+\sqrt{x^2+(y-105)^2}+\sqrt{(x-56)^2+y^2}+\sqrt{(x-44)^2+(y-33)^2}$.

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