In the cartesian plane consider rectangles with sides parallel to the coordinate axes. We say that one rectangle is below another rectangle if there is a line g parallel to the x-axis such that the first rectangle is below g, the second one above g and both rectangles do not touch g.Similarly, we say that one rectangle is to the right of another rectangle if there is a line h parallel to the y-axis such that the first rectangle is to the right of h, the second one to the left of h and both rectangles do not touch h.Show that any finite set of n pairwise disjoint rectangles with sides parallel to the coordinate axes can be enumerated as a sequence (R1,…,Rn) so that for all indices i,j with 1≤i<j≤n the rectangle Ri is to the right of or below the rectangle Rj geometryrectanglecombinatoricsanalytic geometry