using System.Collections.Generic;
using System.Linq;
using System;

public class Hello
{
    static void Main()
    {
        string[] line = Console.ReadLine().Trim().Split(' ');
        var n = int.Parse(line[0]);
        var m = int.Parse(line[1]);
        var aa = new List<int>[n];
        for (int i = 0; i < n; i++) aa[i] = new List<int>();
        for (int i = 0; i < m; i++)
        {
            line = Console.ReadLine().Trim().Split(' ');
            var a = int.Parse(line[0]) - 1;
            var b = int.Parse(line[1]) - 1;
            aa[a].Add(b);
            aa[b].Add(a);
        }
        getAns(n, aa);
    }
    static int[] bfs(int n, List<int>[] aa)
    {
        var a = Enumerable.Repeat(-1, n).ToArray();
        a[0] = 0;
        var q = new Queue<int>();
        q.Enqueue(0);
        while (q.Count > 0)
        {
            var w = q.Dequeue();
            foreach (var x in aa[w])
            {
                if (a[x] == -1)
                {
                    a[x] = a[w] + 1;
                    q.Enqueue(x);
                }
            }
        }
        return a;
    }
    static void getAns(int n, List<int>[] aa)
    {
        if (aa[0].Count == 0)
        {
            Console.WriteLine(string.Join("\n", Enumerable.Repeat(0, n)));
            return;
        }
        var a = bfs(n, aa);
        var d = new Dictionary<int, int>();
        foreach (var x in a)
            if (d.ContainsKey(x)) d[x]++;
            else d[x] = 1;
        var amax = a.Max();
        var even = new List<int>();
        var odd = new List<int>();
        even.Add(d[0]);
        odd.Add(d[1]);
        var temp = even[0];
        for (int i = 2; i <= amax; i += 2)
        {
            temp += d[i];
            even.Add(temp);
        }
        temp = odd[0];
        for (int i = 3; i <= amax; i += 2)
        {
            temp += d[i];
            odd.Add(temp);
        }
        var podd = 0;
        var oddc = odd.Count;
        var peven = 1;
        var evenc = even.Count;
        var ans = new List<int>();
        for (int i = 1; i <= n; i++)
        {
            if (i % 2 == 1)
            {
                if (podd < oddc) ans.Add(odd[podd]);
                else ans.Add(odd[oddc - 1]);
                podd++;
            }
            else
            {
                if (peven < evenc) ans.Add(even[peven]);
                else ans.Add(even[evenc - 1]);
                peven++;
            }
        }
        Console.WriteLine(string.Join("\n", ans));
    }
}