A geometry problem by Soumava Pal
Consider the following problems:
Let \(G\) be the number of points of discontinuity of \(f(x)=\lfloor x^2\rfloor -\lfloor x \rfloor^2\) in the interval \((0,1.6)\).
Let \(E\) be the number of solutions to \(x=99\sin(\pi x)\).
Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.