Problem: Dima came to the horse land. There are n horses living in the land. Each horse in the horse land has several enemies (enmity is a symmetric relationship). The horse land isn't very hostile, so the number of enemies of each horse is at most 3.

Right now the horse land is going through an election campaign. So the horses trusted Dima to split them into two parts. At that the horses want the following condition to hold: a horse shouldn't have more than one enemy in its party.

Help Dima split the horses into parties. Note that one of the parties can turn out to be empty.

Input

The first line contains two integers n, m <image> — the number of horses in the horse land and the number of enemy pairs.

Next m lines define the enemy pairs. The i-th line contains integers ai, bi (1 ≤ ai, bi ≤ n; ai ≠ bi), which mean that horse ai is the enemy of horse bi.

Consider the horses indexed in some way from 1 to n. It is guaranteed that each horse has at most three enemies. No pair of enemies occurs more than once in the input.

Output

Print a line, consisting of n characters: the i-th character of the line must equal "0", if the horse number i needs to go to the first party, otherwise this character should equal "1".

If there isn't a way to divide the horses as required, print -1.

Examples

Input

3 3
1 2
3 2
3 1


Output

100


Input

2 1
2 1


Output

00


Input

10 6
1 2
1 3
1 4
2 3
2 4
3 4


Output

0110000000

Solution (in JAVA):

Solution:
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.io.BufferedReader;
import java.io.OutputStream;
import java.util.ArrayDeque;
import java.io.PrintWriter;
import java.io.Reader;
import java.io.Writer;
import java.util.Queue;
import java.util.Collection;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 * @author Niyaz Nigmatullin
 */
public class Main {
	public static void main(String[] args) {
		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;
		FastScanner in = new FastScanner(inputStream);
		FastPrinter out = new FastPrinter(outputStream);
		TaskC solver = new TaskC();
		solver.solve(1, in, out);
		out.close();
	}
}

class TaskC {
    public void solve(int testNumber, FastScanner in, FastPrinter out) {
        int n = in.nextInt();
        int m = in.nextInt();
        int[] from = new int[m];
        int[] to = new int[m];
        for (int i = 0; i < m; i++) {
            from[i] = in.nextInt() - 1;
            to[i] = in.nextInt() - 1;
        }
        int[][] edges = GraphUtils.getEdgesUndirectedUnweighted(n, from, to);
        Queue<Integer> q = new ArrayDeque<Integer>();
        int[] color = new int[n];
        for (int i = 0; i < n; i++) {
            q.add(i);
        }
        boolean[] inq = new boolean[n];
        Arrays.fill(inq, true);
        while (!q.isEmpty()) {
            int v = q.poll();
            inq[v] = false;
            int cnt = 0;
            for (int j : edges[v]) {
                if (color[v] == color[j]) {
                    ++cnt;
                }
            }
            if (cnt < 2) {
                continue;
            }
            color[v] ^= 1;
            for (int j : edges[v]) {
                if (inq[j]) {
                    continue;
                }
                cnt = 0;
                for (int k : edges[j]) {
                    if (color[k] == color[j]) {
                        ++cnt;
                    }
                }
                if (cnt > 1) {
                    inq[j] = true;
                    q.add(j);
                }
            }
        }
        for (int i = 0; i < n; i++) {
            out.print(color[i]);
        }
        out.println();
    }
}

class FastScanner extends BufferedReader {

    boolean isEOF;

    public FastScanner(InputStream is) {
        super(new InputStreamReader(is));
    }

    public int read() {
        try {
            int ret = super.read();
            if (isEOF && ret < 0) {
                throw new InputMismatchException();
            }
            isEOF = ret == -1;
            return ret;
        } catch (IOException e) {
            throw new InputMismatchException();
        }
    }

    static boolean isWhiteSpace(int c) {
        return c >= -1 && c <= 32;
    }

    public int nextInt() {
        int c = read();
        while (isWhiteSpace(c)) {
            c = read();
        }
        int sgn = 1;
        if (c == '-') {
            sgn = -1;
            c = read();
        }
        int ret = 0;
        while (!isWhiteSpace(c)) {
            if (c < '0' || c > '9') {
                throw new NumberFormatException("digit expected " + (char) c
                        + " found");
            }
            ret = ret * 10 + c - '0';
            c = read();
        }
        return ret * sgn;
    }

    }

class FastPrinter extends PrintWriter {

    public FastPrinter(OutputStream out) {
        super(out);
    }

    public FastPrinter(Writer out) {
        super(out);
    }


}

class GraphUtils {
    public static int[][] getEdgesUndirectedUnweighted(int n, int[] v, int[] u) {
        int[][] edges = new int[n][];
        int[] deg = getDegreeUndirected(n, v, u);
        for (int i = 0; i < n; i++) {
            edges[i] = new int[deg[i]];
        }
        int m = v.length;
        Arrays.fill(deg, 0);
        for (int i = 0; i < m; i++) {
            edges[v[i]][deg[v[i]]++] = u[i];
            edges[u[i]][deg[u[i]]++] = v[i];
        }
        return edges;
    }

    public static int[] getDegreeUndirected(int n, int[] v, int[] u) {
        int[] deg = new int[n];
        for (int i : v) {
            deg[i]++;
        }
        for (int i : u) {
            deg[i]++;
        }
        return deg;
    }


    }