# Cirbola!

Geometry Level 3

The figure above shows a unit circle inscribed in the parabloa $$y=x^2$$. The coordinates of center of the circle inscribed can be written as $$\left( a , \dfrac bc \right)$$, where $$a,b,c$$ are non-negative integers with $$b,c$$ coprime.

Find $$a+b+c$$.

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