Flippable Points

You are given a set $S$ of $N$ distinct integer points in the $2D$ plane. Initially, each point has a color, either `red` or `green`. You have to perform some number of operations (possibly $0$) on this set of points such that all points are `green` after all operations. An operation is: - Choose some line that does not pass through any of the points in $S$. This line should also not pass throu