Two points And A Circle Of Life!

Geometry Level 4

A person wants to go from point $(-100,100)$ to edge of a circular pond of radius $50$ and center $(0,0)$ to fill water. From there, he goes to point $(0,100)$. You can't swim and so you can't go inside circular pond and only go to it's edge to fill water.

If the length of the shortest path for above process is $l$, Enter answer as $\lfloor l \rfloor$ where $\lfloor . \rfloor$ denotes Floor Function

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