#include using namespace std; using int64 = long long; const int mod = 998244353; const int64 infll = (1LL << 60) - 1; const int inf = (1 << 30) - 1; struct IoSetup { IoSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); cerr << fixed << setprecision(10); } } iosetup; template< typename T1, typename T2 > ostream &operator<<(ostream &os, const pair< T1, T2 > &p) { os << p.first << " " << p.second; return os; } template< typename T1, typename T2 > istream &operator>>(istream &is, pair< T1, T2 > &p) { is >> p.first >> p.second; return is; } template< typename T > ostream &operator<<(ostream &os, const vector< T > &v) { for(int i = 0; i < (int) v.size(); i++) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template< typename T > istream &operator>>(istream &is, vector< T > &v) { for(T &in : v) is >> in; return is; } template< typename T1, typename T2 > inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template< typename T1, typename T2 > inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); } template< typename T = int64 > vector< T > make_v(size_t a) { return vector< T >(a); } template< typename T, typename... Ts > auto make_v(size_t a, Ts... ts) { return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...)); } template< typename T, typename V > typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) { t = v; } template< typename T, typename V > typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) { for(auto &e : t) fill_v(e, v); } template< typename F > struct FixPoint : F { FixPoint(F &&f) : F(forward< F >(f)) {} template< typename... Args > decltype(auto) operator()(Args &&... args) const { return F::operator()(*this, forward< Args >(args)...); } }; template< typename F > inline decltype(auto) MFP(F &&f) { return FixPoint< F >{forward< F >(f)}; } template< typename T = int > struct Edge { int from, to; T cost; int idx; Edge() = default; Edge(int from, int to, T cost = 1, int idx = -1) : from(from), to(to), cost(cost), idx(idx) {} operator int() const { return to; } }; template< typename T = int > struct Graph { vector< vector< Edge< T > > > g; int es; Graph() = default; explicit Graph(int n) : g(n), es(0) {} size_t size() const { return g.size(); } void add_directed_edge(int from, int to, T cost = 1) { g[from].emplace_back(from, to, cost, es++); } void add_edge(int from, int to, T cost = 1) { g[from].emplace_back(from, to, cost, es); g[to].emplace_back(to, from, cost, es++); } void read(int M, int padding = -1, bool weighted = false, bool directed = false) { for(int i = 0; i < M; i++) { int a, b; cin >> a >> b; a += padding; b += padding; T c = T(1); if(weighted) cin >> c; if(directed) add_directed_edge(a, b, c); else add_edge(a, b, c); } } }; template< typename T = int > using Edges = vector< Edge< T > >; template< typename T > Edges< T > eulerian_path(Edges< T > &es, bool directed, int s = -1) { int V = 0; for(auto &e : es) V = max(V, max(e.to, e.from) + 1); vector< vector< pair< Edge< T >, int > > > g(V); for(auto e : es) { int sz_to = (int) g[e.to].size(); g[e.from].emplace_back(e, sz_to); if(!directed) { int sz_src = (int) g[e.from].size() - 1; swap(e.from, e.to); g[e.from].emplace_back(e, sz_src); } } if(directed) { vector< int > deg(V); for(auto &e : es) deg[e.from]++; for(auto &e : es) deg[e.to]--; vector< int > latte, malta; for(int i = 0; i < V; i++) { if(abs(deg[i]) >= 2) return {}; else if(deg[i] == 1) latte.emplace_back(i); else if(deg[i] == -1) malta.emplace_back(i); } if(latte.size() > 1 || malta.size() > 1) return {}; if(s != -1 && !latte.empty() && latte[0] != s) return {}; if(s == -1) { s = 0; if(!latte.empty()) s = latte[0]; } } else { vector< int > odd; for(int i = 0; i < V; i++) { if(g[i].size() & 1) odd.emplace_back(i); } if(odd.size() > 2) return {}; if(s != -1 && odd[0] != s && odd[1] != s) return {}; if(s == -1) { s = 0; if(!odd.empty()) s = odd[0]; } } vector< Edge< T > > ord; stack< pair< int, Edge< T > > > st; st.emplace(s, Edge< T >(-1, -1)); while(st.size()) { int idx = st.top().first; if(g[idx].empty()) { ord.emplace_back(st.top().second); st.pop(); } else { auto e = g[idx].back(); g[idx].pop_back(); if(e.second == -1) continue; if(!directed) g[e.first.to][e.second].second = -1; st.emplace(e.first.to, e.first); } } ord.pop_back(); reverse(begin(ord), end(ord)); if(ord.size() != es.size()) return {}; return ord; } int main() { int N, M; cin >> N >> M; vector< int > A(M), B(M); vector< int > used(N); for(int i = 0; i < M; i++) { cin >> A[i] >> B[i]; used[A[i]] = true; used[B[i]] = true; } int ptr = 0; for(int i = 0; i < N; i++) { if(used[i]) used[i] = ptr++; } Edges<> es; for(int i = 0; i < M; i++) { es.emplace_back(used[A[i]], used[B[i]]); } if(eulerian_path(es, false).empty()) cout << "NO\n"; else cout << "YES\n"; }