Polygon Relationship

You are given a strictly convex polygon with $N$ vertices (numbered $1$ through $N$). For each valid $i$, the coordinates of the $i$-th vertex are $(X_i, Y_i)$. You may perform the following operation any number of times (including zero): - Consider a *parent polygon*. Initially, this is the polygon you are given. - Draw one of its *child polygons* ― a simple non-degenerate polygon such that eac