Animesh decides to settle down

After trying his luck in programming contests, Animesh has decided to accept his fate and settle down the good old-fashioned way. He has decided to own a farm and be a shepherd. He knows of **n** grass varieties, each of which grows in a convex polygon area. Some of these polygons may intersect each other. Each grass is lush green and nutritious, and he cannot make up his mind on where he should s