Problem C. Biconnectivity

Author:StdAlg   Time limit:1 sec
Input file:input.txt   Memory limit:64 Mb
Output file:output.txt  


You are to write a program that receives a connected undirected graph and finds all its articulation points, which are the vertices that, if removed, leave disconnected graph.

Input file format

Input file contains two integers N and M. Vertices are numbered with integer numbers from 1 to N. M is the number of edges. Each of next M lines contain pair of integers — numbers of vertices connected by an edge. There are no pairs of equal numbers.

Output file format

Output file must contain integer representing a quantity of articulation points, followed by numbers of corresponding vertices in arbitrary order.


1 ≤ N, M ≤ 100000

Sample tests

No. Input file (input.txt) Output file (output.txt)
5 6
1 2
1 3
2 3
1 4
1 5
4 5
1 1

0.092s 0.015s 13