#include <bits/stdc++.h>
#define GET_MACRO(a, b, c, NAME, ...) NAME
#define rep(...) GET_MACRO(__VA_ARGS__, rep3, rep2)(__VA_ARGS__)
#define rep2(i, a) rep3 (i, 0, a)
#define rep3(i, a, b) for (int i = (a); i < (b); i++)
#define repr(...) GET_MACRO(__VA_ARGS__, repr3, repr2)(__VA_ARGS__)
#define repr2(i, a) repr3 (i, 0, a)
#define repr3(i, a, b) for (int i = (b) - 1; i >= (a); i--)
template<class T1, class T2> inline bool chmin(T1 &a, T2 b) { return b < a && (a = b, true); }
template<class T1, class T2> inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }
using namespace std;
typedef long long ll;

const int inf = 1e9;

struct UF {
	vector<int> parent, size;
	UF(int n) : parent(n), size(n, 1) {
		rep (i, n) parent[i] = i;
	}
	int root(int x) {
		if (x == parent[x]) return x;
		else return parent[x] = root(parent[x]);
	}
	void merge(int x, int y) {
		x = root(x); y = root(y);
		if (x == y) return;
		if (size[x] < size[y]) swap(x, y);
		size[x] += size[y];
		parent[y] = x;
	}
	bool same(int x, int y) {
		return root(x) == root(y);
	}
};

struct SlideMin {
	int size;
	vector<int> a;
	deque<int> deq;
	SlideMin(int size) : size(size) {}
	void push(int v) {
		if (!deq.empty() && deq.front() == a.size() - size) deq.pop_front();
		while (!deq.empty() && a[deq.back()] > v) deq.pop_back();
		deq.push_back(a.size());
		a.push_back(v);
	}
	int query() {
		if (deq.empty()) return inf;
		return a[deq.front()];
	}
};

int dp[101010];

int main() {
	int n, m;
	cin >> n >> m;
	UF uf(n);
	rep (i, m) {
		int u, v;
		scanf("%d %d", &u, &v);
		u--; v--;
		uf.merge(u, v);
	}
	map<int, int> mp;
	rep (i, n) if (uf.root(i) == i) mp[uf.size[i]]++;
	rep (i, 101010) dp[i] = inf;

	dp[0] = 0;
	for (auto kv : mp) {
		int val = kv.first, num = kv.second;

		for (int i = 0; i < val; i++) {
			SlideMin sm(num + 1);
			for (int j = 0; j * val + i <= n; j++) {
				int k = j * val + i;
				sm.push(dp[k] - j);
				chmin(dp[k], sm.query() + j);
			}
		}
	}

	rep (i, 1, n + 1) {
		if (dp[i] > n) dp[i] = 0;
		printf("%d\n", dp[i] - 1);
	}
	return 0;
}