#include <bits/stdc++.h>
#define ll long long
#define INF 1000000005
#define MOD 1000000007
#define EPS 1e-10
#define rep(i,n) for(int i=0;i<(int)(n);++i)
#define rrep(i,n) for(int i=(int)(n)-1;i>=0;--i)
#define srep(i,s,t) for(int i=(int)(s);i<(int)(t);++i)
#define each(a,b) for(auto& (a): (b))
#define all(v) (v).begin(),(v).end()
#define len(v) (int)(v).size()
#define zip(v) sort(all(v)),v.erase(unique(all(v)),v.end())
#define cmx(x,y) x=max(x,y)
#define cmn(x,y) x=min(x,y)
#define fi first
#define se second
#define pb push_back
#define show(x) cout<<#x<<" = "<<(x)<<endl
#define spair(p) cout<<#p<<": "<<p.fi<<" "<<p.se<<endl
#define sar(a,n) cout<<#a<<":";rep(pachico,n)cout<<" "<<a[pachico];cout<<endl
#define svec(v) cout<<#v<<":";rep(pachico,v.size())cout<<" "<<v[pachico];cout<<endl
#define svecp(v) cout<<#v<<":";each(pachico,v)cout<<" {"<<pachico.first<<":"<<pachico.second<<"}";cout<<endl
#define sset(s) cout<<#s<<":";each(pachico,s)cout<<" "<<pachico;cout<<endl
#define smap(m) cout<<#m<<":";each(pachico,m)cout<<" {"<<pachico.first<<":"<<pachico.second<<"}";cout<<endl

using namespace std;

typedef pair<int,int> P;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<double> vd;
typedef vector<P> vp;
typedef vector<string> vs;

const int MAX_N = 100005;

vector<int> G[MAX_N];
bool visit[MAX_N];
int dp[MAX_N];
int used[MAX_N];

void dfs(int u,int& cnt)
{
    visit[u] = true;
    cnt++;
    each(v,G[u]){
        if(!visit[v]){
            dfs(v,cnt);
        }
    }
}

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    int n,m;
    cin >> n >> m;
    rep(i,m){
        int a,b;
        cin >> a >> b;
        G[a-1].pb(b-1),G[b-1].pb(a-1);
    }
    map<int,int> mp;
    rep(i,n){
        if(!visit[i]){
            int cnt = 0;
            dfs(i,cnt);
            mp[cnt]++;
        }
    }
    rep(i,n+1){
        dp[i] = INF;
    }
    dp[0] = -1;
    each(it,mp){
        for(int k = 1; it.se > 0; k <<= 1) {
            int mul = min(k, it.se);
            for(int i = n; i >= it.fi*mul; i--){
                cmn(dp[i],dp[i-it.fi*mul]+mul);
            }
            it.se -= mul;
        }
    }
    srep(i,1,n+1){
        if(dp[i] == INF){
            cout << "-1\n";
        }else{
            cout << dp[i] << "\n";
        }
    }
    return 0;
}