#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;

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);
	}
};

const int inf = 1e9;
int dp[101010]; // min size

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);
	}
	vector<int> a;
	rep (i, n) if (uf.root(i) == i) a.push_back(uf.size[i]);
	sort(a.begin(), a.end());

	rep (i, 101010) dp[i] = inf;
	dp[0] = 0;
	int sum = 0;
	rep (i, a.size()) {
		sum += a[i];
		repr (j, a[i], sum + 1) {
			chmin(dp[j], dp[j - a[i]] + 1);
		}
	}
	rep (i, 1, n + 1) {
		if (dp[i] == inf) dp[i] = 0;
		printf("%d\n", dp[i] - 1);
	}
	return 0;
}