Problem: Bertown has n junctions and m bidirectional roads. We know that one can get from any junction to any other one by the existing roads. 

As there were more and more cars in the city, traffic jams started to pose real problems. To deal with them the government decided to make the traffic one-directional on all the roads, thus easing down the traffic. Your task is to determine whether there is a way to make the traffic one-directional so that there still is the possibility to get from any junction to any other one. If the answer is positive, you should also find one of the possible ways to orient the roads.

Input

The first line contains two space-separated integers n and m (2 ≤ n ≤ 105, n - 1 ≤ m ≤ 3·105) which represent the number of junctions and the roads in the town correspondingly. Then follow m lines, each containing two numbers which describe the roads in the city. Each road is determined by two integers ai and bi (1 ≤ ai, bi ≤ n, ai ≠ bi) — the numbers of junctions it connects.

It is guaranteed that one can get from any junction to any other one along the existing bidirectional roads. Each road connects different junctions, there is no more than one road between each pair of junctions.

Output

If there's no solution, print the single number 0. Otherwise, print m lines each containing two integers pi and qi — each road's orientation. That is the traffic flow will move along a one-directional road from junction pi to junction qi. You can print the roads in any order. If there are several solutions to that problem, print any of them.

Examples

Input

6 8
1 2
2 3
1 3
4 5
4 6
5 6
2 4
3 5


Output

1 2
2 3
3 1
4 5
5 6
6 4
4 2
3 5


Input

6 7
1 2
2 3
1 3
4 5
4 6
5 6
2 4


Output

0

Solution (in JAVA):

Solution:
/* IMPORTANT: Multiple classes and nested static classes are supported */

/*
 * uncomment this if you want to read input.
//imports for BufferedReader
import java.io.BufferedReader;
import java.io.InputStreamReader;

//import for Scanner and other utility classes
import java.util.*;
*/
import java.io.*;
import java.util.*;
import java.lang.*;
// Warning: Printing unwanted or ill-formatted data to output will cause the test cases to fail

public class CF118E {
    private static List<List<Integer>> adj;
    private static boolean[] visited;
    private static List<Integer> ways;
    private static int[] in;
    private static int[] low;
    private static int timer;
    public static boolean dfs(int idx,int p){
        //System.out.println(idx+" "+p);
        visited[idx]=true;
        in[idx]=timer;
        low[idx]=timer;
        timer++;
        boolean f = true;
        for(int x:adj.get(idx)){
            if(x == p) continue;
            if(visited[x]){
                low[idx] = Math.min(in[x],low[idx]);
                if(in[idx]>in[x]){
                    //System.out.println(idx+" "+x+" "+"r");
                    ways.add(idx);
                    ways.add(x);
                }
            } else {
                f = dfs(x,idx);
                if(low[x] > in[idx] || !f) {
                    //System.out.println(x+" "+idx);
                    return false;
                }
                //System.out.println(idx+" "+x+" "+"l");
                ways.add(idx);
                ways.add(x);
                low[idx] = Math.min(low[idx],low[x]);
            }
        }
        return f;
    }

    static PrintWriter out=new PrintWriter(System.out);
    public static void main(String args[] ) throws Exception {
        /* Sample code to perform I/O:
         * Use either of these methods for input

        //BufferedReader
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        String name = br.readLine();                // Reading input from STDIN
        System.out.println("Hi, " + name + ".");    // Writing output to STDOUT

        //Scanner
        Scanner s = new Scanner(System.in);
        String name = s.nextLine();                 // Reading input from STDIN
        System.out.println("Hi, " + name + ".");    // Writing output to STDOUT

        */

        // Write your code here
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        int t = 1;
        
            String[] input = br.readLine().trim().split("\\s+");
            int n = Integer.parseInt(input[0]);
            int e = Integer.parseInt(input[1]);
            
            adj = new ArrayList<>();
            for(int i = 0; i <= n; i++) {
                adj.add(new ArrayList<>()); 
            }

            for(int i = 0; i < e; i++){
                input = br.readLine().trim().split("\\s+");
                int x = Integer.parseInt(input[0]);
                int y = Integer.parseInt(input[1]);
                adj.get(x).add(y);
                adj.get(y).add(x);
            }

            visited = new boolean[n+1];
            in = new int[n+1];
            low = new int[n+1];
            ways = new ArrayList<>();
            timer = 0;
            boolean f = dfs(1,-1);
            
            // for(int i = 1; i <= n; i++){
            //     System.out.println(in[i]+" "+low[i]);
            // }
            if(!f){
                out.println(0);
            } else{
                for(int i = 0; i < ways.size(); i+=2){
                    out.println(ways.get(i)+" "+ways.get(i+1));
                }
            }
            out.flush();
        
    }
}