2. Given a set of 11. red points and 11. blue points in the plane. Determine in 0(a) time whether there exists a disk D in the plane such that all the red points are in D and all the blue points are outside D. HlN'I': consider mapping every point [3, y] in 2D to a point {1:,y,mz+y2) in 3D. 1'Nhat is this mapping doing? If there is a disk D in the plane that does have the red points in its interior and blue points outside, 1What does the boundary of D map to in 3D? This will help you solve this