import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintStream;
import java.io.PrintWriter;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Deque;
import java.util.HashMap;
import java.util.Iterator;
import java.util.List;
import java.util.Map;
import java.util.Map.Entry;


public class Main_yukicoder317_4 {

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        Printer pr = new Printer(System.out);

        int n = sc.nextInt();
        int m = sc.nextInt();
        List<List<Integer>> edges = new ArrayList<List<Integer>>();
        for (int i = 0; i < n; i++) {
        	edges.add(new ArrayList<Integer>());
        }
        for (int i = 0; i < m; i++) {
        	int u = sc.nextInt() - 1;
        	int v = sc.nextInt() - 1;
        	edges.get(u).add(v);
        	edges.get(v).add(u);
        }

        boolean[] used = new boolean[n];
        Map<Integer, Integer> cnt = new HashMap<Integer, Integer>();
        for (int i = 0; i < n; i++) {
        	if (used[i]) {
        		continue;
        	}

        	Deque<Integer> st = new ArrayDeque<Integer>();
        	st.push(i);
        	used[i] = true;

        	int tmp = 1;
        	while (!st.isEmpty()) {
        		int v = st.pop();

        		for (int e : edges.get(v)) {
        			if (used[e]) {
        				continue;
        			}

        			st.push(e);
        			used[e] = true;
        			tmp++;
        		}
        	}

        	if (cnt.containsKey(tmp)) {
        		cnt.put(tmp, cnt.get(tmp) + 1);
        	} else {
        		cnt.put(tmp, 1);
        	}
        }

        int[] dp = new int[n + 1];
        final int INF = Integer.MAX_VALUE / 2;
        Arrays.fill(dp, INF);
        dp[0] = 0;

//		Deque<Integer> qi = new ArrayDeque<Integer>();
//		Deque<Integer> qdp = new ArrayDeque<Integer>();
		int[] qi = new int[n + 1];
		int[] qdp = new int[n + 1];
        for (Entry<Integer, Integer> v : cnt.entrySet()) {
        	int w = v.getKey();
        	int nn = v.getValue();
        	for (int j = 0; j < w; j++) {
        		int s = 0;
        		int t = 0;
        		for (int i = 0; i * w + j <= n; i++) {
        			int tmp = dp[i * w + j] - i;
        			while (s < t && qdp[t - 1] >= tmp) {
        				t--;
        			}
        			qi[t] = i;
        			qdp[t++] = tmp;
        			dp[i * w + j] = qdp[s] + i;
        			if (qi[s] == i - nn) {
        				s++;
        			}
        		}
        	}
        }

        for (int i = 1; i <= n; i++) {
        	if (dp[i] == INF) {
        		pr.println(-1);
        	} else {
        		pr.println(dp[i] - 1);
        	}
        }

        pr.close();
        sc.close();
    }

	@SuppressWarnings("unused")
	private static class Scanner {
		BufferedReader br;
		Iterator<String> it;

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

		String next() throws RuntimeException  {
			try {
				if (it == null || !it.hasNext()) {
					it = Arrays.asList(br.readLine().split(" ")).iterator();
				}
				return it.next();
			} catch (IOException e) {
				throw new IllegalStateException();
			}
		}

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

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

		float nextFloat() throws RuntimeException {
			return Float.parseFloat(next());
		}

		double nextDouble() throws RuntimeException {
			return Double.parseDouble(next());
		}

		void close() {
			try {
				br.close();
			} catch (IOException e) {
//				throw new IllegalStateException();
			}
		}
	}

	private static class Printer extends PrintWriter {
		Printer(PrintStream out) {
			super(out);
		}
	}
}