CF196C Paint Tree

You are given a tree with $ n $ vertexes and $ n $ points on a plane, no three points lie on one straight line. Your task is to paint the given tree on a plane, using the given points as vertexes. That is, you should correspond each vertex of the tree to exactly one point and each point should correspond to a vertex. If two vertexes of the tree are connected by an edge, then the corresponding points should have a segment painted between them. The segments that correspond to non-adjacent edges, should not have common points. The segments that correspond to adjacent edges should have exactly one common point.

The first line contains an integer $ n $ ( $ 1

Print $ n $ distinct space-separated integers from $ 1 $ to $ n $ : the $ i $ -th number must equal the number of the vertex to place at the $ i $ -th point (the points are numbered in the order, in which they are listed in the input). If there are several solutions, print any of them.

The possible solutions for the sample are given below.