CF963B Destruction of a Tree

Description

You are given a tree (a graph with $ n $ vertices and $ n-1 $ edges in which it's possible to reach any vertex from any other vertex using only its edges). A vertex can be destroyed if this vertex has even degree. If you destroy a vertex, all edges connected to it are also deleted. Destroy all vertices in the given tree or determine that it is impossible.

Input Format

N/A

Output Format

N/A

Explanation/Hint

In the first example at first you have to remove the vertex with index 1 (after that, the edges (1, 2) and (1, 4) are removed), then the vertex with index 2 (and edges (2, 3) and (2, 5) are removed). After that there are no edges in the tree, so you can remove remaining vertices in any order. ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF963B/9b84e98fe96447b82c6a8ccba7a9e4a5189ce14b.png)