#include<bits/stdc++.h>
using namespace std;
using Int = long long;
template<typename T1,typename T2> inline void chmin(T1 &a,T2 b){if(a>b) a=b;}
template<typename T1,typename T2> inline void chmax(T1 &a,T2 b){if(a<b) a=b;}


struct UnionFind{
  int n;
  vector<int> r,p;
  UnionFind(){}
  UnionFind(int sz):n(sz),r(sz,1),p(sz,0){iota(p.begin(),p.end(),0);}
  int find(int x){
    return (x==p[x]?x:p[x]=find(p[x]));
  }
  bool same(int x,int y){
    return find(x)==find(y);
  }
  void unite(int x,int y){
    x=find(x);y=find(y);
    if(x==y) return;
    if(r[x]<r[y]) swap(x,y);
    r[x]+=r[y];
    p[y]=x;
  }
};

//INSERT ABOVE HERE
signed main(){
  int n,m;
  cin>>n>>m;
  UnionFind uf(n);
  for(int i=0;i<m;i++){
    int x,y;
    cin>>x>>y;
    x--;y--;
    uf.unite(x,y);
  }

  vector<int> v;
  for(int i=0;i<n;i++)
    if(uf.find(i)==i) v.emplace_back(uf.r[i]);

  const int BS = 400;
  vector<int> cnt(BS,0);

  using P = pair<int, int>;
  vector<P> vs;
  for(int x:v){
    if(x<BS) cnt[x]++;
    else vs.emplace_back(x,1);
  }
  
  for(int t=1;t<BS;t++){
    if(!cnt[t]) continue;
    for(int k=1;k<=cnt[t];k<<=1){
      vs.emplace_back(t*k,k);
      cnt[t]-=k;
    }
    if(cnt[t]) vs.emplace_back(t*cnt[t],cnt[t]);
  }

  const int INF = 1e9;
  vector<int> dp(n+1,INF);
  dp[0]=0;
  
  for(P p:vs){
    int d=p.first,c=p.second;
    vector<int> nx(n+1,INF);    
    for(int i=0;i<=n;i++){
      chmin(nx[i],dp[i]);      
      if(i+d<=n) chmin(nx[i+d],dp[i]+c);
    }
    swap(dp,nx);
  }
  
  for(int i=1;i<=n;i++){
    if(dp[i]==INF) dp[i]=0;
    cout<<dp[i]-1<<endl;
  }  
  return 0;
}