#include using namespace std; using int64 = long long; const int mod = 1e9 + 7; //const int mod = 998244353; const int64 infll = (1LL << 62) - 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)}; } /** * @brief Union-Find * @docs docs/union-find.md */ struct UnionFind { vector< int > data; UnionFind() = default; explicit UnionFind(size_t sz) : data(sz, -1) {} bool unite(int x, int y) { x = find(x), y = find(y); if(x == y) return false; if(data[x] > data[y]) swap(x, y); data[x] += data[y]; data[y] = x; return true; } int find(int k) { if(data[k] < 0) return (k); return data[k] = find(data[k]); } int size(int k) { return -data[find(k)]; } bool same(int x, int y) { return find(x) == find(y); } }; template< bool directed > struct EulerianTrail { vector< vector< pair< int, int > > > g; vector< pair< int, int > > es; int M; vector< int > used_vertex, used_edge, deg; explicit EulerianTrail(int V) : g(V), M(0), deg(V), used_vertex(V) {} void add_edge(int a, int b) { es.emplace_back(a, b); g[a].emplace_back(b, M); if(directed) { deg[a]++; deg[b]--; } else { g[b].emplace_back(a, M); deg[a]++; deg[b]++; } M++; } pair< int, int > get_edge(int idx) const { return es[idx]; } vector< vector< int > > enumerate_eulerian_trail() { if(directed) { for(auto &p : deg) if(p != 0) return {}; } else { for(auto &p : deg) if(p & 1) return {}; } used_edge.assign(M, 0); vector< vector< int > > ret; for(int i = 0; i < (int) g.size(); i++) { if(g[i].empty() || used_vertex[i]) continue; ret.emplace_back(go(i)); } return ret; } vector< vector< int > > enumerate_semi_eulerian_trail() { UnionFind uf(g.size()); for(auto &p : es) uf.unite(p.first, p.second); vector< vector< int > > group(g.size()); for(int i = 0; i < (int) g.size(); i++) group[uf.find(i)].emplace_back(i); vector< vector< int > > ret; used_edge.assign(M, 0); for(auto &vs : group) { if(vs.empty()) continue; int latte = -1, malta = -1; if(directed) { for(auto &p : vs) { if(abs(deg[p]) > 1) { return {}; } else if(deg[p] == 1) { if(latte >= 0) return {}; latte = p; } } } else { for(auto &p : vs) { if(deg[p] & 1) { if(latte == -1) latte = p; else if(malta == -1) malta = p; else return {}; } } } ret.emplace_back(go(latte == -1 ? vs.front() : latte)); if(ret.back().empty()) ret.pop_back(); } return ret; } vector< int > go(int s) { stack< pair< int, int > > st; vector< int > ord; st.emplace(s, -1); while(!st.empty()) { int idx = st.top().first; used_vertex[idx] = true; if(g[idx].empty()) { ord.emplace_back(st.top().second); st.pop(); } else { auto e = g[idx].back(); g[idx].pop_back(); if(used_edge[e.second]) continue; used_edge[e.second] = true; st.emplace(e); } } ord.pop_back(); reverse(ord.begin(), ord.end()); return ord; } }; int main() { int N, M; cin >> N >> M; vector< int > A(M), B(M); EulerianTrail< false > et(N); for(int i = 0; i < M; i++) { cin >> A[i] >> B[i]; et.add_edge(A[i], B[i]); } if(et.enumerate_semi_eulerian_trail().size() == 1) cout << "YES\n"; else cout << "NO\n"; }