Triangle Query

You are given $N$ points (numbered $1$ through $N$) in a Cartesian coordinate system. For each valid $i$, the coordinates of the $i$-th point are $(x_i, y_i)$. You should answer $Q$ queries (numbered $1$ through $Q$). For each valid $i$, in the $i$-th query: - You are given two points $L = (l_i, 0)$ and $R = (r_i, 0)$. - Consider an isosceles right triangle such that its hypothenuse is the line s