Max Circumference

In the magic land there is a triangle ABC. You have N spell cards. Each card has two parameters, i-th card has parameters x[i] and y[i]. Using of the i-th spell card add x[i] to the x-coordinate of the point A and add y[i] to the y-coordinate of the point A. So if A has coordinates (X, Y) it will be moving to (X + x[i], Y + y[i]) by using this card. You can use at most K spell cards. Apply