#pragma GCC optimize ("O3") #pragma GCC target ("avx") #include "bits/stdc++.h" // define macro "/D__MAI" using namespace std; typedef long long int ll; #define xprintf(fmt,...) fprintf(stderr,fmt,__VA_ARGS__) #define debugv(v) {printf("L%d %s > ",__LINE__,#v);for(auto e:v){cout< ",__LINE__,#m);for(int x=0;x<(w);x++){cout<<(m)[x]<<" ";}cout<\n",__LINE__,#m);for(int y=0;y<(h);y++){for(int x=0;x<(w);x++){cout<<(m)[y][x]<<" ";}cout< ostream& operator <<(ostream &o, const pair p) { o << "(" << p.first << ":" << p.second << ")"; return o; } template inline size_t argmin(iterator begin, iterator end) { return distance(begin, min_element(begin, end)); } template inline size_t argmax(iterator begin, iterator end) { return distance(begin, max_element(begin, end)); } template T& maxset(T& to, const T& val) { return to = max(to, val); } template T& minset(T& to, const T& val) { return to = min(to, val); } mt19937_64 randdev(8901016); inline ll rand_range(ll l, ll h) { return uniform_int_distribution(l, h)(randdev); } #ifdef __MAI #define getchar_unlocked getchar #define putchar_unlocked putchar #endif #ifdef __VSCC #define getchar_unlocked _getchar_nolock #define putchar_unlocked _putchar_nolock #endif namespace { #define isvisiblechar(c) (0x21<=(c)&&(c)<=0x7E) class MaiScanner { public: template void input_integer(T& var) { var = 0; T sign = 1; int cc = getchar_unlocked(); for (; cc<'0' || '9'>(int& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(long long& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(string& var) { int cc = getchar_unlocked(); for (; !isvisiblechar(cc); cc = getchar_unlocked()); for (; isvisiblechar(cc); cc = getchar_unlocked()) var.push_back(cc); return *this; } template void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; } }; } MaiScanner scanner; // 隣接頂点を保持する無向グラフ class Graph { public: size_t n; vector> vertex_to; Graph(size_t n) :n(n), vertex_to(n) {} void connect(int from, int to) { vertex_to[from].emplace_back(to); vertex_to[to].emplace_back(from); } void resize(size_t _n) { n = _n; vertex_to.resize(_n); } }; class unionfind { public: vector data; unionfind(int size) : data(size, -1) { } bool connect(int x, int y) { x = root(x); y = root(y); if (x != y) { if (data[y] < data[x]) swap(x, y); data[x] += data[y]; data[y] = x; } return x != y; } inline bool same(int x, int y) { return root(x) == root(y); } inline int root(int x) { return data[x] < 0 ? x : data[x] = root(data[x]); } inline int size(int x) { return -data[root(x)]; } }; ll m, n, kei; int main() { scanner >> n >> m; Graph g(n); unionfind uf(n); int has = 0; repeat(i, m) { int a, b; scanner >> a >> b; g.connect(a, b); uf.connect(a, b); has = a; } int odd = 0; repeat(i, n) { if (g.vertex_to[i].size() % 2 == 1) odd++; if (!uf.same(has, i) && g.vertex_to[i].size() != 0) { cout << "NO" << endl; return 0; } } if (odd != 0 && odd != 2) { cout << "NO" << endl; } else { cout << "YES" << endl; } return 0; }