import java.io.BufferedReader;
import java.io.Closeable;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.HashSet;
import java.util.LinkedList;
import java.util.Map.Entry;
import java.util.Scanner;
import java.util.Set;
import java.util.StringTokenizer;
import java.util.TreeMap;

public class Main {

	public static class UnionFind {
		int[] par; //

		public UnionFind(int n) {
			par = new int[n];
			for (int i = 0; i < n; i++) {
				par[i] = -1;
			}
		}

		public int find(int x) {
			if (par[x] < 0) {
				return x;
			} else {
				return par[x] = find(par[x]);
			}
		}

		public boolean union(int x, int y) {
			x = find(x);
			y = find(y);

			if (x != y) {
				if (par[y] < par[x]) { // 多い方が根になるようにスワップする.
					int tmp = x;
					x = y;
					y = tmp;
				}
				par[x] += par[y];
				par[y] = x;
				return true;
			} else {
				return false;
			}
		}

		public boolean same(int x, int y) {
			return find(x) == find(y);
		}

		public int size(int x) {
			return -par[find(x)];
		}
	}

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		
		final int N = sc.nextInt();
		final int M = sc.nextInt();
		
		UnionFind uf = new UnionFind(N);
		for(int i = 0; i < M; i++){
			final int a = sc.nextInt() - 1;
			final int b = sc.nextInt() - 1;
			uf.union(a, b);
		}
		
		HashSet<Integer> already = new HashSet<Integer>();
		TreeMap<Integer, Integer> counts = new TreeMap<Integer, Integer>();
		for(int i = 0; i < N; i++){
			if(already.contains(uf.find(i))){ continue; }
			already.add(uf.find(i));
			
			if(!counts.containsKey(uf.size(i))){
				counts.put(uf.size(i), 0);
			}
			counts.put(uf.size(i), counts.get(uf.size(i)) + 1);
		}
		
		int[] DP = new int[N + 1];
		Arrays.fill(DP, -1);
		DP[0] = 0;
		
		for(final Entry<Integer, Integer> entry : counts.entrySet()){
			{
				final int size = entry.getKey();
				//System.out.println(size);
				for(int pos = N - size; pos >= 0; pos--){
					if(DP[pos] < 0){ continue; }
					if(DP[pos + size] < 0){ DP[pos + size] = DP[pos] + 1; }
					else{ DP[pos + size] = Math.min(DP[pos + size], DP[pos] + 1); }
				}
				DP[size] = 0;
			}
			
			int count = entry.getValue() - 1;
			for(int size_2 = 1; size_2 <= count; count -= size_2, size_2 *= 2){
				final int size = entry.getKey() * size_2;
				//System.out.println(":" + size_2);
				
				for(int pos = N - size; pos >= 0; pos--){
					if(DP[pos] < 0){ continue; }
					if(DP[pos + size] < 0){ DP[pos + size] = DP[pos] + 1; }
					else{ DP[pos + size] = Math.min(DP[pos + size], DP[pos] + 1); }
				}
			}
			
			{
				final int size = count * entry.getKey();
				if(size == 0){ continue; }
				//System.out.println("::" + size);
			
				for(int pos = N - size; pos >= 0; pos--){
					if(DP[pos] < 0){ continue; }
					if(DP[pos + size] < 0){ DP[pos + size] = DP[pos] + 1; }
					else{ DP[pos + size] = Math.min(DP[pos + size], DP[pos] + 1); }
				}
			}
		}
		
		for(int i = 1; i <= N; i++){
			System.out.println(DP[i]);
		}
	}
	
	public static class Scanner implements Closeable {
		private BufferedReader br;
		private StringTokenizer tok;

		public Scanner(InputStream is) {
			br = new BufferedReader(new InputStreamReader(is));
		}

		private void getLine() {
			try {
				while (!hasNext()) {
					tok = new StringTokenizer(br.readLine());
				}
			} catch (IOException e) { /* ignore */
			}
		}

		private boolean hasNext() {
			return tok != null && tok.hasMoreTokens();
		}

		public String next() {
			getLine();
			return tok.nextToken();
		}

		public int nextInt() {
			return Integer.parseInt(next());
		}

		public long nextLong() {
			return Long.parseLong(next());
		}

		public void close() {
			try {
				br.close();
			} catch (IOException e) { /* ignore */
			}
		}
	}
}