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EIUBFS2 - BFS Undirected Graph

Given an undirected graph, print all vertices of the tree. When there is more than one vertex connect to visiting vertices, prioritize to visit the smaller nodes first.

Input

The first line consists of two positive integers, the number of vertices n (0 <n <10^5) and the number of edges m (0 <m <2x10^5).

Then there are m lines, each containing two integers u and v (u, v <10^5), representing an edge connecting node u and node v.

Output

The list of vertices in the required order, separated by spaces. 

Example

Input:
4 4
0 3
3 2
1 0
0 1
Output:
0 1 3 2

 


Added by:Ha Minh Ngoc
Date:2015-12-30
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
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