Embedding

You have N points, numbered from 1 to N. You have to position these N points on the Cartesian plane. You have to decide the coordinates of the points. But there are some restrictions. Firstly, the coordinates should be integers, at least 1 and at most 4000, thus you can put a point only on a lattice point. Secondly, every point must have distinct coordinates. After the points are positioned on t