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EIUBFS1 - BFS Directed Graph

Given a directed 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 <105) and the number of edges m (0 <m <2x105).
Then there are m lines, each containing two integers u and v (u, v <105), representing the direction from u to v.

The first line consists of two positive integers, the number of vertices n (0 <n <105) and the number of edges m (0 <m <2x105).

Then there are m lines, each containing two integers u and v (u, v <105), representing an edge from u to 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)
Languages:CSHARP C++ 4.3.2 CPP CPP14 CPP14-CLANG FSHARP GO JAVA NODEJS PHP PYTHON PYPY PYPY3 PYTHON3 RUBY SQLITE SWIFT VB.NET
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