#include #define rep(i, a, b) for (ll i = (ll)(a); i < (ll)(b); i++) using namespace std; typedef long long ll; template struct Graph { struct edge { int to; T cost; }; int N; vector> G; vector dist; vector prever; Graph(int n) { init(n); } T inf() { if (is_same_v) return 1e9; else return 1e18; } T zero() { return T(0); } void init(int n) { N = n; G.resize(N); dist.resize(N, inf()); } void add_edge(int s, int t, T cost) { edge e; e.to = t, e.cost = cost; G[s].push_back(e); } void dijkstra(int s) { rep(i, 0, N) dist[i] = inf(); prever = vector(N, -1); dist[s] = zero(); priority_queue, vector>, greater>> q; q.push({zero(), s}); while (!q.empty()) { int now; T nowdist; tie(nowdist, now) = q.top(); q.pop(); if (dist[now] < nowdist) continue; for (auto e : G[now]) { T nextdist = nowdist + e.cost; // 次の頂点への距離 if (dist[e.to] > nextdist) { prever[e.to] = now; dist[e.to] = nextdist; q.push({dist[e.to], e.to}); } } } } vector get_path(int t) { // tへの最短路構築 if (dist[t] >= inf()) return {-1}; vector path; for (; t != -1; t = prever[t]) { path.push_back(t); } reverse(path.begin(), path.end()); return path; } }; int main() { int n, m; cin >> n >> m; Graph gr(n); rep(i, 0, m) { int a, b; cin >> a >> b; a--, b--; gr.add_edge(a, b, 1); gr.add_edge(b, a, 1); } gr.dijkstra(0); vector dist(n + 10); rep(i, 0, n) { if (gr.dist[i] != gr.inf()) { dist[gr.dist[i]]++; } } int e = dist[0], o = 0; vector ans; rep(i, 1, n + 1) { if (i % 2) { o += dist[i]; ans.push_back(o); } else { e += dist[i]; ans.push_back(e); } if (ans.back() == 0) break; } while (ans.size() < n) ans.push_back(0); rep(i, 0, n) cout << ans[i] << endl; }