#include using namespace std; template struct Edge { Edge() {} Edge(int to_, T cost_) : to(to_), cost(cost_) {} Edge(int from_, int to_, T cost_) : from(from_), to(to_), cost(cost_) {} Edge(int from_, int to_, T cost_, int idx_) : from(from_), to(to_), cost(cost_), idx(idx_) {} int from, to; T cost; int idx; }; template using Graph = vector>>; using graph = Graph; using edge = Edge; #define add emplace_back struct Dijkstra { private: graph g; int n, s; vector d; vector prev; vector visit; priority_queue, vector>, greater>> pq; public: Dijkstra(graph g_, int s_) : g(g_), n(g.size()), s(s_), d(n, 1000000000000000000), prev(n), visit(n, false) { d[s] = 0LL; pq.emplace(d[s], s); while (!pq.empty()) { int v = pq.top().second; pq.pop(); if (visit[v]) { continue; } visit[v] = true; for (auto e : g[v]) { int nv = e.to; long long nc = e.cost; if (d[nv] > d[v] + nc) { d[nv] = d[v] + nc; prev[nv] = e; pq.emplace(d[nv], nv); } } } } vector dists() { return d; } long long dist(int t) { return d[t]; } vector route(int t) { if (s == t || d[t] == 1000000000000000000) { return {}; } vector res; int cur = t; while (cur != s) { res.emplace_back(prev[cur]); cur = prev[cur].from; } reverse(res.begin(), res.end()); return res; } }; int main() { int n, m; cin >> n >> m; graph g(n); for (int i = 0; i < m; i++) { int u, v; cin >> u >> v; u--; v--; g[u].add(v, 1LL); g[v].add(u, 1LL); } vector d = Dijkstra(g, 0).dists(); vector cnt(200010, 0); for (int i = 0; i < n; i++) { if (d[i] != 1000000000000000000) { cnt[d[i]]++; } } int even = cnt[0], odd = 0; for (int i = 1; i <= n; i++) { if (i % 2 == 0) { even += cnt[i]; cout << even << endl; } else { odd += cnt[i]; cout << odd << endl; } } }