/* ### # ############# # ####################### ################################ ######################################### ############################################## # ##################################### # ###### ############################ ###### ########### ################### # ########## ################ ######### ############### #################### # #################### ####### ############## ######################## ######## ######### ######################## ########### ####### ######################## ############## # ####### ######################## ######################## ######################## ######################## ######################## ######################## ######################## ###################### ####################### ################### ################### ############## ############### ########## ########## ###### ###### ## ## # # # # # # # # # # # #### #### #### #### #### # # # # # ## # # # # # # #____# ## # #/ # # ## # # # # # # # #^^^^ # ## ###/# # # # #### #### ###/# #### # # ## */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; namespace { using Integer = long long; //__int128; template istream& operator >> (istream& is, vector& vec){for(T& val: vec) is >> val; return is;} template istream& operator , (istream& is, T& val){ return is >> val;} template ostream& operator << (ostream& os, const vector& vec){for(int i=0; i ostream& operator , (ostream& os, const T& val){ return os << " " << val;} template void print(const H& head){ cout << head; } template void print(const H& head, const T& ... tail){ cout << head << " "; print(tail...); } template void println(const T& ... values){ print(values...); cout << endl; } template void eprint(const H& head){ cerr << head; } template void eprint(const H& head, const T& ... tail){ cerr << head << " "; eprint(tail...); } template void eprintln(const T& ... values){ eprint(values...); cerr << endl; } class range{ long long start_, end_, step_; public: struct range_iterator{ long long val, step_; range_iterator(long long v, long long step) : val(v), step_(step) {} long long operator * (){return val;} void operator ++ (){val += step_;} bool operator != (range_iterator& x){return step_ > 0 ? val < x.val : val > x.val;} }; range(long long len) : start_(0), end_(len), step_(1) {} range(long long start, long long end) : start_(start), end_(end), step_(1) {} range(long long start, long long end, long long step) : start_(start), end_(end), step_(step) {} range_iterator begin(){ return range_iterator(start_, step_); } range_iterator end(){ return range_iterator( end_, step_); } }; string operator "" _s (const char* str, size_t size){ return move(string(str)); } constexpr Integer my_pow(Integer x, Integer k, Integer z=1){return k==0 ? z : k==1 ? z*x : (k&1) ? my_pow(x*x,k>>1,z*x) : my_pow(x*x,k>>1,z);} constexpr Integer my_pow_mod(Integer x, Integer k, Integer M, Integer z=1){return k==0 ? z%M : k==1 ? z*x%M : (k&1) ? my_pow_mod(x*x%M,k>>1,M,z*x%M) : my_pow_mod(x*x%M,k>>1,M,z);} constexpr unsigned long long operator "" _ten (unsigned long long value){ return my_pow(10,value); } inline int k_bit(Integer x, int k){return (x>>k)&1;} //0-indexed mt19937 mt(chrono::duration_cast(chrono::steady_clock::now().time_since_epoch()).count()); template string join(const vector& v, const string& sep){ stringstream ss; for(int i=0; i0) ss << sep; ss << v[i]; } return ss.str(); } string operator * (string s, int k){ string ret; while(k){ if(k&1) ret += s; s += s; k >>= 1; } return ret; } } constexpr long long mod = 9_ten + 7; int main(){ int n,m; //cin >> n,m; scanf("%d%d", &n, &m); vector> G(n); vector> e(m); for(int i : range(m)){ int u,v; //cin >> u,v; scanf("%d%d", &u, &v); u--; v--; G[u].push_back(v); G[v].push_back(u); e[i] = {min(u,v), max(u,v)}; } shuffle(e.begin(), e.end(), mt); vector dd(n, 1e7); for(int i : range(m)){ if( e[i].first == 0 ) dd[ e[i].second ] = 1; } vector> GG(n); for(int i : range(m)){ if(dd[ e[i].first ] != 1 && dd[ e[i].second ] != 1) continue; GG[e[i].first].push_back(e[i].second); GG[e[i].second].push_back(e[i].first); } auto start_time = chrono::steady_clock::now(); for(int i : range(m)){ if((i&255) == 0){ auto time_now = chrono::steady_clock::now(); if( chrono::duration_cast(time_now - start_time).count() > 4000 ) break; } int u = e[i].first; int v = e[i].second; if(u == 0) continue; vector d_u(n, 1e7); vector d_v(n, 1e7); vector c_u(n, 0); vector c_v(n, 0); int last_v = -1; int last_u = -1; function&, vector&, int&)> bfs = [&](int pos, vector& d, vector& c, int& last){ d[pos] = 0; c[pos] = 1; queue q; q.push(pos); while(q.size()){ int p = q.front(); q.pop(); if(d[p] >= 2) break; for(int nx : GG[p]){ if(nx == u || nx == v) continue; bool new_v = true; if( (d[p] == 1 && nx == 0) || (d[p] == 0 && nx != 0) ){ if(d[nx] == d[p]+1) new_v = false; d[nx] = d[p] + 1; c[nx] += c[p]; if(nx == 0) last = p; if(nx == 0 && c[nx] >= 2){ q = queue(); break; } if(new_v) q.push( nx ); } } } }; bfs(u, d_u, c_u, last_u); if(c_u[0] == 0) continue; bfs(v, d_v, c_v, last_v); if((c_u[0] >= 2 && c_v[0] >= 1) || (c_u[0] >= 1 && c_v[0] >= 2) || (c_u[0] == 1 && c_v[0] == 1 && last_u != last_v) ){ println("YES"); return 0; } } println("NO"); return 0; }