#include #define VARNAME(x) #x #define show(x) cerr << #x << " = " << x << endl using namespace std; using ll = long long; using ld = long double; template ostream& operator<<(ostream& os, const vector& v) { os << "sz:" << v.size() << "\n["; for (const auto& p : v) { os << p << ","; } os << "]\n"; return os; } template ostream& operator<<(ostream& os, const pair& p) { os << "(" << p.first << "," << p.second << ")"; return os; } constexpr ll MOD = (ll)1e9 + 7LL; constexpr ld PI = static_cast(3.1415926535898); template constexpr T INF = numeric_limits::max() / 10; class DisjointSets { public: DisjointSets(const int v) { m_parent.resize(v); m_rank.resize(v); m_size.resize(v); for (int i = 0; i < v; i++) { m_parent[i] = i; m_rank[i] = 0; m_size[i] = 1; } } bool same(const int a, const int b) { return find(a) == find(b); } int find(const int a) { if (m_parent[a] == a) { return a; } else { return m_parent[a] = find(m_parent[a]); } } void unite(const int a_, const int b_) { const int a = find(a_); const int b = find(b_); if (a == b) { return; } if (m_rank[a] > m_rank[b]) { m_parent[b] = a; m_size[a] += m_size[b]; } else { m_parent[a] = b; m_size[b] += m_size[a]; } if (m_rank[a] == m_rank[b]) { m_rank[b]++; } } int getSize(const int a) { return m_size[m_parent[a]]; } private: vector m_parent; vector m_rank; vector m_size; }; int main() { cin.tie(0); ios::sync_with_stdio(false); int N, M; cin >> N >> M; DisjointSets uf(N); vector dim(N, 0); for (int i = 0; i < M; i++) { int a, b; cin >> a >> b; uf.unite(a, b); dim[a]++; dim[b]++; } int cnt = 0; for (int i = 0; i < N; i++) { if (dim[i] % 2 == 1) { cnt++; } } cout << (uf.getSize(0) == N and (cnt == 0 or cnt == 2) ? "YES" : "NO") << endl; return 0; }