#pragma GCC target("avx2") #pragma GCC optimize("03") #pragma GCC optimize("unroll-loops") #include using namespace std; typedef long double ld; typedef long long ll; typedef unsigned long long ull; #define endl "\n" #define FOR(i,a,b) for(int i=(a);i<=(b);i++) #define rep(i,n) for(int i=0;i<(n);i++) #define PII pair #define PLL pair #define ALL(x) (x).begin(), (x).end() constexpr int INF=1<<30; constexpr ll LINF=1LL<<60; constexpr ll mod=1e9+7; constexpr int NIL = -1; templateinline bool chmax(T &a, const T &b) { if (ainline bool chmin(T &a, const T &b) { if (binline int popcount(T a) {return __builtin_popcount(a);} templateinline T emod(T a, T p) { return (a%p + p) % p;} //------------------- constexpr int MX = 502; int G[MX][MX]; int n,m; class UnionFind { private: unsigned size_; std::vector par, rank; //par = root? -size: par public: UnionFind() : size_(0), par(std::vector()), rank(std::vector()) {}; UnionFind(unsigned size__) : size_(size__) { par.resize(size_+1); rank.resize(size_+1); for (unsigned i = 0; i <= size_; i++) par[i] = -1, rank[i] = 0; } //unsigned size() { return size_; } unsigned root(unsigned x) {return par[x] < 0 ? x : par[x] = root(par[x]); } bool same(unsigned x, unsigned y) { return root(x) == root(y); } void unite(unsigned x, unsigned y) { x = root(x), y = root(y); if (x == y) return; if (rank[x] < rank[y])par[y] += par[x], par[x] = y; else if (rank[x] == rank[y])par[x] += par[y], par[y] = x, rank[x]++; else par[x] += par[y], par[y] = x; } int size(int x){ return -par[root(x)];} bool operator==(const UnionFind &u) { return par == u.par; } bool operator!=(const UnionFind &u) { return par != u.par; } }; int main() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cin >> n >> m; UnionFind uf(n); unordered_map mp; rep(i,m) { int a,b; cin >> a >> b; G[a][b] = 1; G[b][a] = 1; uf.unite(a,b); mp[a]++; mp[b]++; } int all = 0; for(auto &[k,v]: mp) { if(v>0) all++; } rep(i, n) { if(uf.size(i) == 1 or uf.size(i) == all) continue; cout << "NO" << endl; return 0; } int cnt = 0; rep(i, n) { int cur = 0; rep(j, n) { cur += G[i][j]==1? 1:0; } cnt += cur&1? 1: 0; } if(cnt==0 || cnt ==2) cout << "YES" << endl; else cout << "NO" << endl; return 0; }