# A calculus problem by Archit Tripathi

Calculus Level 3

Given that one side of a square $$ABCD$$ is on the line $$y = 2x - 17$$ and the other two vertices lie on the parabola $$y = x^{2}$$.

Let the minimum area of this square be denoted as $$S$$. Find $$\lfloor \sqrt{S} \rfloor$$.

 Notation: $$\lfloor \cdot \rfloor$$ denotes the floor function.

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