#include<bits/stdc++.h> using namespace std; int n, m, e, h[1145141], ne[1145141], t[1145141], u, v, b[1145141], is[1145141], cnt, f[114514]; int ct (int x, int y) { e++; ne[e] = h[x]; h[x] = e; t[e] = y; return 0; } int dfs(int x, int y) { is[x] = 1; b[y]++; for (int i = h[x]; i; i = ne[i]) { if (!is[t[i]]) { dfs(t[i], y); } } return 0; } int main () { cin >> n >> m; for (int i = 1; i <= m; i++) { scanf("%d %d", &u, &v); ct(u, v); ct(v, u); } for (int i = 1; i <= n; i++) { if(!is[i]) { dfs(i, ++cnt); } } for (int j = 1; j <= n; j++) { f[j] = 11451419; } f[0] = 0; for (int i = 1; i <= cnt; i++) { for (int j = n; j >= b[i]; j--) { f[j] = min(f[j - b[i]] + 1, f[j]); } for (int j = b[i] - 1; j; j--) f[j] = f[j]; f[b[i]] = 0; } for (int i = 1; i <= n; i++) { if (f[i] >= 11451419) cout << "-1\n"; else cout << f[i] << "\n"; } }