#include <string>
#include <vector>
#include <algorithm>
#include <numeric>
#include <set>
#include <map>
#include <queue>
#include <iostream>
#include <sstream>
#include <cstdio>
#include <cmath>
#include <ctime>
#include <cstring>
#include <cctype>
#include <cassert>
#include <limits>
#include <functional>
#define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i))
#define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i))
#define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i))
#if defined(_MSC_VER) || __cplusplus > 199711L
#define aut(r,v) auto r = (v)
#else
#define aut(r,v) __typeof(v) r = (v)
#endif
#define each(it,o) for(aut(it, (o).begin()); it != (o).end(); ++ it)
#define all(o) (o).begin(), (o).end()
#define pb(x) push_back(x)
#define mp(x,y) make_pair((x),(y))
#define mset(m,v) memset(m,v,sizeof(m))
#define INF 0x3f3f3f3f
#define INFL 0x3f3f3f3f3f3f3f3fLL
using namespace std;
typedef vector<int> vi; typedef pair<int,int> pii; typedef vector<pair<int,int> > vpii; typedef long long ll;
template<typename T, typename U> inline void amin(T &x, U y) { if(y < x) x = y; }
template<typename T, typename U> inline void amax(T &x, U y) { if(x < y) x = y; }

struct UnionFind {
	vector<int> data;
	void init(int n) { data.assign(n, -1); }
	bool unionSet(int x, int y) {
		x = root(x); y = root(y);
		if(x != y) {
			if(data[y] < data[x]) swap(x, y);
			data[x] += data[y]; data[y] = x;
		}
		return x != y;
	}
	bool findSet(int x, int y) { return root(x) == root(y); }
	int root(int x) { return data[x] < 0 ? x : data[x] = root(data[x]); }
	int size(int x) { return -data[root(x)]; }
};

int main() {
	int N; int M;
	while(~scanf("%d%d", &N, &M)) {
		UnionFind uf; uf.init(N);
		rep(i, M) {
			int u; int v;
			scanf("%d%d", &u, &v), -- u, -- v;
			uf.unionSet(u, v);
		}
		vector<int> counts(N + 1);
		rep(i, N) if(uf.root(i) == i)
			++ counts[uf.size(i)];
		deque<pii> q;
		vi dp(N + 1, INF);
		dp[0] = 0;
		int sum = 0;
		rer(i, 1, N) {
			int n = counts[i];
			if(n == 0) continue;
			sum += n * i;
			rep(l, i) {
				q.clear();
				for(int k = l, p = 0; k <= sum; k += i, ++ p) {
					while(!q.empty() && q.front().first < p - n)
						q.pop_front();
					int x = dp[k] - p;
					while(!q.empty() && q.back().second >= x)
						q.pop_back();
					q.emplace_back(p, x);
					dp[k] = q.front().second + p;
				}
			}
		}
		rer(i, 1, N)
			printf("%d\n", dp[i] == INF ? -1 : dp[i] - 1);
	}
	return 0;
}