package problems896;

import java.io.BufferedReader;
import java.io.FileReader;
import java.io.FileWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.HashMap;
import java.util.List;
import java.util.Map;
import java.util.Set;

class UnionFind {
    private int[] parent;

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

    public void union(int x, int y) {
        x = find(x);
        y = find(y);
        if (x == y) return;
        parent[x] = y;
    }

    public int find(int z) {
        if (this.parent[z] == z) return z;
        parent[z] = find(parent[z]);
        return parent[z];
    }
}


class Counter<T> {
    private final Map<T, int[]> map = new HashMap<>();

    public Counter() {
    }

    public Counter(List<T> ts) {
        this();
        add(ts);
    }

    public Counter(T[] ts) {
        this();
        add(ts);
    }

    public void add(T t) {
        int[] v = map.get(t);
        if (v == null) map.put(t, new int[]{1});
        else v[0]++;
    }

    public void add(List<T> ts) {
        for (T t : ts) {
            add(t);
        }
    }

    public void add(T[] ts) {
        for (T t : ts) {
            add(t);
        }
    }

    public int get(T t) {
        int[] v = map.get(t);
        return v == null ? 0 : v[0];
    }

    public int set(T t, int n) {
        int[] v = map.get(t);
        if (v == null) {
            map.put(t, new int[]{n});
            return 0;
        }
        else {
            int ret = v[0];
            v[0] = n;
            return ret;
        }
    }

    public Set<T> keySet() {
        return map.keySet();
    }

    @Override
    public String toString() {
        StringBuilder sb = new StringBuilder("Counter{");
        for (T t : map.keySet()) {
            sb.append(t).append(": ").append(map.get(t)[0]).append(", ");
        }
        sb.append("}");
        return sb.toString();
    }
}

public class Main {
    public void run() throws IOException {
        int N = io.nextInt();
        int M = io.nextInt();

        UnionFind uf = new UnionFind(N);
        for (int i = 0; i < M; i++) {
            int u = io.nextInt();
            int v = io.nextInt();
            uf.union(u - 1, v - 1);
        }

        Counter<Integer> co = new Counter<>();
        for (int i = 0; i < N; i++) {
            co.add(uf.find(i));
        }

        Counter<Integer> gc = new Counter<>();
        for (Integer k : co.keySet()) {
            gc.add(co.get(k));
        }

        int inf = N + 10;

        int[] dp = new int[N + 1];
        Arrays.fill(dp, inf);
        dp[0] = -1;

        for (Integer g : gc.keySet()) {
            for (int i = N - g; i >= 0; i--) {
                if (dp[i] != inf) {
                    int a = gc.get(g);
                    for (int j = 1; j <= a; j++) {
                        dp[i + j * g] = Math.min(dp[i + j * g], dp[i] + j);
                    }
                }
            }
        }

        for (int i = 1; i <= N; i++) {
            io.out.println(dp[i] != inf ? dp[i] : -1);
        }
    }

    // @formatter:off
    private static final int mod = (int) 1e9 + 7;
    final IOFast io = new IOFast();

    void main() throws IOException { try { run(); } catch (RuntimeException e) { e.printStackTrace(); } finally { io.out.flush(); } }
    public static void main(String[] args) throws IOException { new Main().main(); }

    public static String dtos(double x, int n) {
        StringBuilder sb = new StringBuilder();
        if (x < 0) {
            sb.append('-');
            x = -x;
        }
        x += Math.pow(10, -n) / 2;
        sb.append((long) x);
        sb.append(".");
        x -= (long) x;
        for (int i = 0; i < n; i++) {
            x *= 10;
            sb.append((int) x);
            x -= (int) x;
        }
        return sb.toString();
    }

    public static class IOFast {
        private BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
        private PrintWriter out = new PrintWriter(System.out);

        void setFileIn(String ins) throws IOException { in.close(); in = new BufferedReader(new FileReader(ins)); }
        void setFileOut(String outs) throws IOException { out.flush(); out.close(); out = new PrintWriter(new FileWriter(outs)); }
        void setFileIO(String ins, String outs) throws IOException { setFileIn(ins); setFileOut(outs); }

        private static int pos, readLen;
        private static final char[] buffer = new char[1024 * 8];
        private static char[] str = new char[500*8*2];
        private static boolean[] isDigit = new boolean[256];
        private static boolean[] isSpace = new boolean[256];
        private static boolean[] isLineSep = new boolean[256];

        static { for(int i = 0; i < 10; i++) { isDigit['0' + i] = true; } isDigit['-'] = true; isSpace[' '] = isSpace['\r'] = isSpace['\n'] = isSpace['\t'] = true; isLineSep['\r'] = isLineSep['\n'] = true; }
        public int read() throws IOException { if(pos >= readLen) { pos = 0; readLen = in.read(buffer); if(readLen <= 0) { throw new RuntimeException(); } } return buffer[pos++]; }
        public int nextInt() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); int i = 0; int ret = 0; if(str[0] == '-') { i = 1; } for(; i < len; i++) ret = ret * 10 + str[i] - '0'; if(str[0] == '-') { ret = -ret; } return ret; }
        public long nextLong() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); int i = 0; long ret = 0; if(str[0] == '-') { i = 1; } for(; i < len; i++) ret = ret * 10 + str[i] - '0'; if(str[0] == '-') { ret = -ret; } return ret; }
        public char nextChar() throws IOException { while(true) { final int c = read(); if(!isSpace[c]) { return (char)c; } } }
        int reads(int len, boolean[] accept) throws IOException { try { while(true) { final int c = read(); if(accept[c]) { break; } if(str.length == len) { char[] rep = new char[str.length * 3 / 2]; System.arraycopy(str, 0, rep, 0, str.length); str = rep; } str[len++] = (char)c; } } catch(RuntimeException e) { ; } return len; }
        public char[] nextLine() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isLineSep); try { if(str[len-1] == '\r') { len--; read(); } } catch(RuntimeException e) { ; } return Arrays.copyOf(str, len); }
        public String nextString() throws IOException { return new String(next()); }
        public char[] next() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); return Arrays.copyOf(str, len); }
        public double nextDouble() throws IOException { return Double.parseDouble(nextString()); }
        public long[] nextLongArray(final int n) throws IOException { final long[] res = new long[n]; for(int i = 0; i < n; i++) { res[i] = nextLong(); } return res; }
        public int[] nextIntArray(final int n) throws IOException { final int[] res = new int[n]; for(int i = 0; i < n; i++) { res[i] = nextInt(); } return res; }
        public int[][] nextIntArray2D(final int n, final int k) throws IOException { final int[][] res = new int[n][]; for(int i = 0; i < n; i++) { res[i] = nextIntArray(k); } return res; }
        public int[][] nextIntArray2DWithIndex(final int n, final int k) throws IOException { final int[][] res = new int[n][k+1]; for(int i = 0; i < n; i++) { for(int j = 0; j < k; j++) { res[i][j] = nextInt(); } res[i][k] = i; } return res; }
        public double[] nextDoubleArray(final int n) throws IOException { final double[] res = new double[n]; for(int i = 0; i < n; i++) { res[i] = nextDouble(); } return res; }
    }
    // @formatter:on
}