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Articulation Point

A vertex in an undirected graph is an articluation point iff removing it disconnects the graph. You have to find the number of articulation point in the given graph.

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Articulation Point

easy

A vertex in an undirected graph is an articluation point iff removing it disconnects the graph. You have to find the number of articulation point in the given graph.

Constraints

1 <= number of vertices(V) <= 1000 1 <= number of Edges(E) <= V*(V-1)/2;

Format

Input

First line contains two integers V and E. Each of next E line contains two integer u and v denoting an edge betwwen vertex u and v.

Output

Print the number of articulation point

Example

Sample Input

5 5 1 2 1 3 3 2 3 4 5 4

Sample Output

2

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