#include using namespace std; using std::cout; using std::cin; using std::endl; using ll=long long; using ld=long double; const ll ILL=2167167167167167167; const int INF=2100000000; #define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define all(p) p.begin(),p.end() template using _pq = priority_queue, greater>; template ll LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template ll UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,T b){if(a>b){a=b;return 1;}else return 0;} template bool chmax(T &a,T b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} bool yneos(bool a,bool upp=0){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;} template void vec_out(vector &p,int ty=0){ if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'< T vec_min(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template T vec_max(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template T vec_sum(vector &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;} template bool inside(T l,T x,T r){return l<=x&&x dijkstra(vector> &G,int start,len_type inf){ int M=G.size(); assert(M>start&&start>=0); vector seen(M,inf); seen[start]=0; priority_queue,vector>,greater>> pq; pq.push({0,start}); while(!pq.empty()){ len_type time; int ver; tie(time,ver)=pq.top(); pq.pop(); if(seen[ver]> t; rep(i, 0, t) solve(); } void solve(){ int N, M; cin >> N >> M; vector> G(N); rep(i, 0, M){ int a, b; cin >> a >> b; a--, b--; G[a].push_back({b, 1}); G[b].push_back({a, 1}); } auto seen = dijkstra(G, 0, INF); vector p(N + 1); rep(i, 0, N){ if (seen[i] != INF) p[seen[i]]++; } int A = 1, B = 0; rep(i, 1, N + 1){ swap(A, B); A += p[i]; if (B == 0) A = 0; cout << A << "\n"; } }