#include <cstdlib>
#include <cmath>
#include <climits>
#include <cfloat>
#include <map>
#include <set>
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <sstream>
#include <complex>
#include <stack>
#include <queue>
#include <cstdio>
#include <cstring>
#include <iterator>
#include <bitset>
#include <unordered_set>
#include <unordered_map>
#include <fstream>
#include <iomanip>
#include <cassert>
//#include <utility>
//#include <memory>
//#include <functional>
//#include <deque>
//#include <cctype>
//#include <ctime>
//#include <numeric>
//#include <list>
//#include <iomanip>

//#if __cplusplus >= 201103L
//#include <array>
//#include <tuple>
//#include <initializer_list>
//#include <forward_list>
//
//#define cauto const auto&
//#else

//#endif

using namespace std;


typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

typedef vector<int> vint;
typedef vector<vector<int> > vvint;
typedef vector<long long> vll, vLL;
typedef vector<vector<long long> > vvll, vvLL;

#define VV(T) vector<vector< T > >

template <class T>
void initvv(vector<vector<T> > &v, int a, int b, const T &t = T()){
    v.assign(a, vector<T>(b, t));
}

template <class F, class T>
void convert(const F &f, T &t){
    stringstream ss;
    ss << f;
    ss >> t;
}

#undef _P
#define _P(...) (void)printf(__VA_ARGS__)
#define reep(i,a,b) for(int i=(a);i<(b);++i)
#define rep(i,n) reep((i),0,(n))
#define ALL(v) (v).begin(),(v).end()
#define PB push_back
#define F first
#define S second
#define mkp make_pair
#define RALL(v) (v).rbegin(),(v).rend()
#define DEBUG
#ifdef DEBUG
#define dump(x)  cout << #x << " = " << (x) << endl;
#define debug(x) cout << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl;
#else
#define dump(x) 
#define debug(x) 
#endif

#define MOD 1000000007LL
#define EPS 1e-8
#define INF 0x3f3f3f3f
#define INFL 0x3f3f3f3f3f3f3f3fLL
#define maxs(x,y) x=max(x,y)
#define mins(x,y) x=min(x,y)

/*********************************************************************/
class UF {
    public:
    static const int ufmax=100052;
    int ufpar[ufmax],ufrank[ufmax],ufcnt[ufmax];
    UF() { init();}
    void init(){int i; rep(i,ufmax) { ufpar[i]=i; ufrank[i]=0; ufcnt[i]=1; } }
    int find(int x) {   return (ufpar[x]==x)?(x):(ufpar[x] = find(ufpar[x]));}
    int operator[](int x) {return find(x);}
    int count(int x) {return ufcnt[find(x)];}
    void unite(int x,int y) {
        x = find(x); y = find(y);
        if(x==y) return;
        if(ufrank[x]<ufrank[y]) ufpar[x]=y, ufcnt[y]+=ufcnt[x];
        else {ufpar[y]=x; ufcnt[x]+=ufcnt[y]; if(ufrank[x]==ufrank[y]) ufrank[x]++;}
    }
};
/**********************************************************************/


void mainmain(){
    int n,m;
    cin>>n>>m;
    UF uf;
    rep(i,m){
        int a,b;
        cin>>a>>b;
        uf.unite(a-1,b-1);
    }
    vint v(n);
    rep(i,n){
        v[uf[i]]++;
    }
    vint cnt(n);
    rep(i,n){
        cnt[v[i]]++;
    }
    vint dp(n+1,INF);
    dp[0]=-1;
    reep(i,1,n+1){
        if(cnt[i]==0) continue;
        for(int j=1;;j<<=1){
            int t=min(cnt[i],j);
            for(int k=n-t*i;k>=0;k--){
                mins(dp[k+t*i],dp[k]+t);
            }
            if(j>=cnt[i]) break;
        }
    }
    vint tmp={0,0,0,1,1,2};
    if(n==6&&m==3){
        rep(i,3){
            assert(tmp[i]==dp[i+1]);
        }
    }
    rep(i,n){
        if(dp[i+1]==INF) cout<<-1<<endl;
        else cout<<dp[i+1]<<endl;
    }
}


signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout<<fixed<<setprecision(20);
    mainmain();
}