Statement

Carlo is designing a logo for his new metal band. His design consists of two rows of points connected by E straight line segments. The N points in the first row are numbered from 0 to N-1, and the M points in the second row are numbered from 0 to M-1. The segments connect points from the first row to points in the second row -- there are no edges between points in the same row. Carlo is dissatisfied with his design, as it is almost unintelligible, and has asked you to help make it clearer without making radical changes. You are allowed to rearrange the points in each row, but you cannot change which pairs of points are connected by each segment. That is, after rearranging the points, the same pairs of points must remain connected by straight line segments. A logo is considered clear if no line segments intersect. Can you help Carlo create a clear logo, or determine if it is impossible?