using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static int[] NList => ReadLine().Split().Select(int.Parse).ToArray(); static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray(); public static void Main() { Solve(); // Test(); } static void Test() { var r = new Random(); var count = 0; while (true) { var n = 10; var m = r.Next(n) + 1; var map = Make(r, n, m); // 愚直解 var s1 = All(n, m, map); // 作成解 var s2 = Mame(n, m, map); var flg = true; for (var i = 0; i < s1.Length; ++i) if (s1[i] != s2[i]) flg = false; if (!flg) { WriteLine(n + " " + m); WriteLine(string.Join("\n", map.Select(m => string.Join(" ", m)))); // WriteLine(string.Join(" ", a)); WriteLine(string.Join(" ", s1)); WriteLine(string.Join(" ", s2)); return; } ++count; if (count % 1000 == 0) WriteLine(count); } } static int[] All(int n, int m, int[][] map) { var tree = new List[n]; for (var i = 0; i < n; ++i) tree[i] = new List(); foreach (var edge in map) { tree[edge[0] - 1].Add(edge[1] - 1); tree[edge[1] - 1].Add(edge[0] - 1); } var dp = new int[n]; dp[0] = 1; var ans = new int[n]; for (var i = 0; i < n; ++i) { for (var j = 0; j < n; ++j) foreach (var ni in tree[j]) if (dp[j] == 0 && dp[ni] == 1) dp[j] = 2; for (var j = 0; j < n; ++j) if (dp[j] == 1) dp[j] = 0; for (var j = 0; j < n; ++j) if (dp[j] == 2) dp[j] = 1; ans[i] = dp.Count(di => di == 1); } return ans; } static int[][] Make(Random r, int n, int m) { var ans = new List(); for (var i = 0; i < n; ++i) for (var j = i + 1; j < n; ++j) ans.Add(new int[] { i + 1 , j + 1 }); for (var i = ans.Count - 2; i >= 0; --i) { var pos = r.Next(i, ans.Count); (ans[i], ans[pos]) = (ans[pos], ans[i]); } return ans.Take(m).ToArray(); } static void Solve() { var c = NList; var (n, m) = (c[0], c[1]); var map = NArr(m); WriteLine(string.Join("\n", Mame(n, m, map))); } static int[] Mame(int n, int m, int[][] map) { var tree = new List[n]; for (var i = 0; i < n; ++i) tree[i] = new List(); foreach (var edge in map) { tree[edge[0] - 1].Add(edge[1] - 1); tree[edge[1] - 1].Add(edge[0] - 1); } if (tree[0].Count == 0) { return Enumerable.Repeat(0, n).ToArray(); } var dep = Enumerable.Repeat(int.MaxValue / 2, n).ToArray(); dep[0] = 0; DFS(0, -1, tree, dep); var ans = new int[n + 1]; for (var i = 0; i < n; ++i) if (dep[i] <= n) ++ans[dep[i]]; for (var i = 2; i <= n; ++i) ans[i] += ans[i - 2]; return ans.Skip(1).ToArray(); } static void DFS(int cur, int prev, List[] tree, int[] dep) { foreach (var next in tree[cur]) { if (prev == next) continue; if (dep[next] <= dep[cur] + 1) continue; dep[next] = dep[cur] + 1; DFS(next, cur, tree, dep); } } }