#include<bits/stdc++.h>
#define REP(x,y,z) for(int x=y;x<=z;x++)
#define FORD(x,y,z) for(int x=y;x>=z;x--)
#define MSET(x,y) memset(x,y,sizeof(x))
#define FOR(x,y) for(__typeof(y.begin()) x=y.begin();x!=y.end();x++)
#define F first
#define S second
#define MP make_pair
#define PB push_back
#define SZ size()
#define M 100005
#define INF 1000000000
void RI(){}
template<typename... T>
void RI( int& head, T&... tail ) {
    scanf("%d",&head);
    RI(tail...);
}
using namespace std;
typedef long long LL;
int n,m,fa[M],w[M],cnt[M],dp[M];
int find(int x)
{
	return fa[x]==x ? x:fa[x]=find(fa[x]);
}
void con(int x,int y)
{
	x=find(x);
	y=find(y);
	if(x==y) return;
	fa[x] = y;
	w[y] += w[x];
}
void upd(int x,int y)
{
	FORD(i,n,x) dp[i]=min(dp[i], dp[i-x]+y);
}
int main()
{
	int x,y;
	while(~scanf("%d %d",&n,&m))
	{
		dp[0]=0;
		REP(i,1,n) fa[i]=i, w[i]=1, cnt[i]=0, dp[i]=INF;
		REP(i,1,m)
		{
			RI(x,y);
			con(x,y);
		}

		REP(i,1,n) if(find(i)==i) cnt[w[i]]++;
		REP(i,1,n) if(cnt[i])
		{
			x = cnt[i];
			y = 1;
			while(x>=y)
			{
				upd(i*y, y);
				x-=y;
				y*=2;
			}
			if(x) upd(i*x, x);
		}
		REP(i,1,n) printf("%d\n",dp[i]==INF?-1:dp[i]-1);
	}
	return 0;
}