#include <bits/stdc++.h> using namespace std; typedef long long ll; ll n, m, e[400002], h[100002], ne[400002], idx, dp[100002], cnt[100002], az[1002], l, ans; bool f[100002]; void add(ll x, ll y) { e[++ idx] = y, ne[idx] = h[x], h[x] = idx; } void dfs(ll x) { ans ++; f[x] = 1; for (ll i = h[x]; i; i = ne[i]) { ll y = e[i]; if (! f[y]) dfs(y); } } int main() { cin >> n >> m; for (ll x, y; m --; ) cin >> x >> y, add(x, y), add(y, x); for (ll i = 1; i <= n; i ++ ) if (! f[i]) ans = 0, dfs(i), cnt[ans] ++; for (ll i = 1; i <= n; i ++ ) { if (! cnt[i]) continue; ll p = 1; while (p <= cnt[i]) { if (cnt[i] % (p << 1)) az[++ l] = p * i, cnt[i] -= p; p <<= 1; } if (cnt[i]) az[++ l] = cnt[i] * i; } memset(dp, 0x3f, sizeof dp); dp[0] = 0; for (ll i = 1; i <= n; i ++ ) for (ll j = n; j >= az[i]; j -- ) dp[j] = min(dp[j], dp[j - az[i]] + 1); for (ll i = 1; i <= n; i ++ ) cout << (dp[i] >= n ? -1ll : dp[i] - 1) << endl; }