#include <bits/stdc++.h>
using namespace std;

#define Nmax 100010
bool used[Nmax];
list<int> edges[Nmax];
int cs[Nmax];
int dp[Nmax];

int countf(int i){
	if(used[i]) return 0;
	used[i]=true;
	int result = 1;
	for(auto it=edges[i].begin(); it!=edges[i].end(); ++it){
		result += countf(*it);
	}
	return result;
}

int main(){
	int N,M;
	cin>>N>>M;

	for(int j=0;j<M;++j){
		int u,v;
		cin>>u>>v;
		edges[u].push_back(v);
		edges[v].push_back(u);
	}
	
	dp[0]=-1;
	for(int k=1;k<=N;++k){
		dp[k]=N;
	}

	for(int i=1;i<=N;++i){
		int c = countf(i);
		++cs[c];
	}

	int sum=0;
	for(int c=1;c<=N;++c){
		int s=cs[c];
		int d=1;
		while(s){
			int e=d;
			if(e>s)e=s;
			s-=e;
			int ce=c*e;
			sum+=ce;
			for(int k=sum-ce;k>=0;--k){
				if(dp[k+ce]>e+dp[k]){
					dp[k+ce]=e+dp[k];
				}
			}
			d*=2;
		}
	}

	for(int k=1;k<=N;++k){
		cout << (dp[k]<N?dp[k]:-1) << endl;
	}
}