#include #include #define rep(i,n) for(int i=0;i vi; typedef vector vl; typedef vector> vvi; typedef vector> vvl; typedef long double ld; typedef pair P; ostream& operator<<(ostream& os, const modint& a) {os << a.val(); return os;} template ostream& operator<<(ostream& os, const static_modint& a) {os << a.val(); return os;} template ostream& operator<<(ostream& os, const dynamic_modint& a) {os << a.val(); return os;} template istream& operator>>(istream& is, vector& v){int n = v.size(); assert(n > 0); rep(i, n) is >> v[i]; return is;} template ostream& operator<<(ostream& os, const pair& p){os << p.first << ' ' << p.second; return os;} template ostream& operator<<(ostream& os, const vector& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : " "); return os;} template ostream& operator<<(ostream& os, const vector>& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : ""); return os;} template ostream& operator<<(ostream& os, const set& se){for(T x : se) os << x << " "; os << "\n"; return os;} template ostream& operator<<(ostream& os, const unordered_set& se){for(T x : se) os << x << " "; os << "\n"; return os;} template ostream& operator<<(ostream& os, const atcoder::segtree& seg){int n = seg.max_right(0, [](S){return true;}); rep(i, n) os << seg.get(i) << (i == n - 1 ? "\n" : " "); return os;} template ostream& operator<<(ostream& os, const atcoder::lazy_segtree& seg){int n = seg.max_right(0, [](S){return true;}); rep(i, n) os << seg.get(i) << (i == n - 1 ? "\n" : " "); return os;} template void chmin(T& a, T b){a = min(a, b);} template void chmax(T& a, T b){a = max(a, b);} const long long INF = 1001001001001001; using S = long long; S _INF(INF); S _ZERO(0LL); using F = long long; S apply(F f, S x){ return f + x; } template struct Dijkstra{ struct Edge{ int from, to; F cost; Edge(int from, int to, F cost) : from(from), to(to), cost(cost) {}; }; int n, m; vector initialized; vector E; vector> G; map> dist; map> idx; Dijkstra(int _n) : n(_n), m(0), initialized(n, false), G(n){} void add_edge(int from, int to, F cost){ Edge e(from, to, cost); E.push_back(e); G[from].emplace_back(m); m++; } void calc(int s){ initialized[s] = true; dist[s] = vector(n, _INF); idx[s] = vector(n, -1); priority_queue, vector>, greater>> pq; pq.emplace(_ZERO, s, -1); while(pq.size()){ auto [dist_from, from, index] = pq.top(); pq.pop(); if(dist[s][from] <= dist_from) continue; dist[s][from] = dist_from; idx[s][from] = index; for(int index : G[from]){ int to = E[index].to; S dist_to = apply(E[index].cost, dist_from); if(dist[s][to] <= dist_to) continue; pq.emplace(dist_to, to, index); } } } int farthest(int s){ if(!initialized[s]) calc(s); int idx = 0; rep(i, n) if(dist[s][i] > dist[s][idx]) idx = i; return idx; } S get_dist(int s, int t){ if(!initialized[s]) calc(s); return dist[s][t]; } vector restore(int s, int t){ if(!initialized[s]) calc(s); if(dist[s][t] == _INF) return vector(0); vector res; while(idx[s][t] != -1){ auto e = E[idx[s][t]]; res.push_back(idx[s][t]); t = e.from; } reverse(res.begin(), res.end()); return res; } }; int main(){ int n, m; cin >> n >> m; Dijkstra graph(n); rep(i, m){ int u, v; cin >> u >> v; u--; v--; graph.add_edge(u, v, 1); graph.add_edge(v, u, 1); } vector d(n, INF); rep(i, n) d[i] = graph.get_dist(0, i); vector cnt(n + 1); rep(i, n){ if(d[i] != INF) cnt[d[i]]++; } vector p(2); rep(t, n + 1){ p[t % 2] += cnt[t]; if(t > 0) cout << p[t % 2] << "\n"; } return 0; }