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EICONP3 - Connected Components 3

Given an undirected graph with n vertices and m edges. Vertices are numbered from 0 to n-1. Write a program to calculate the number of vertices and edges of each component.

Input

The first line contains the number of vertices n (1 ≤ n ≤ 105), the number of edges m (1 ≤ m ≤ 2x105).

Each of the next m lines contains 2 integers u, v representing an edge between u and v (0 ≤ u,v ≤ n).

Output

For each component, print out the smallest vertices, the number of vertices and edges in the component.

Sample

Input

Output

3 1

1 2

 

0 1 0

1 2 1


Added by:Ha Minh Ngoc
Date:2022-12-25
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
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