#include <vector>
#include <unordered_map>
#include <algorithm>
#include <cstdio>
using namespace std;
class union_find{
public:
	int *parent,*rank,n;

	int root(int a){return parent[a]==a?a:(parent[a]=root(parent[a]));}
	union_find(int _n){n=_n;parent=new int[n];rank=new int[n];for(int i=0;i<n;i++)parent[i]=i,rank[i]=0;}
	~union_find(){delete []parent;delete []rank;}
	void unite(int a,int b){
		int x=root(a),y=root(b);
		if(rank[x]<rank[y]){
			parent[x]=y;
		}else{
			parent[y]=x;
			if(rank[x]==rank[y])rank[x]++;
		}
	}
	void enumerate(vector<int> &edges){
		unordered_map<int,int> r;
		for(int i=0;i<n-1;i++)++r[root(i)];
		for(auto &e:r)edges.push_back(e.second);
		sort(edges.begin(),edges.end());
	}
};
int main(){
	const int INF=1<<29;
	int N,M;
	scanf("%d%d",&N,&M);
	vector<int>edges;
	edges.reserve(N);
	union_find uf(N+1);
	for(;M--;){
		int a,b;
		scanf("%d%d",&a,&b);
		uf.unite(a-1,b-1);
	}
	uf.enumerate(edges);
	//vector<int>bag(N+1,INF);
	int *bag=uf.parent;
	bag[0]=-1;
	for(int i=1;i<=N;i++)bag[i]=INF;
	int t=0,tbelow,prev=0;
	for(auto &e:edges){
		if(prev!=e)prev=e,tbelow=e;
		else tbelow+=e;
		t+=e;
		for(int i=t;i>=tbelow;i--)if(bag[i-e]<INF){
			bag[i]=min(bag[i],bag[i-e]+1);
		}
	}
	for(int i=1;i<=N;i++)printf("%d\n",bag[i]==INF ? -1 : bag[i]);
}