#line 1 "main.cpp" #include #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rrep(i, n) for (int i = (int)(n - 1); i >= 0; i--) #define all(x) (x).begin(), (x).end() #define sz(x) int(x.size()) using namespace std; using ll = long long; const int INF = 1e9; const ll LINF = 1e18; template void get_unique(vector& x) { x.erase(unique(x.begin(), x.end()), x.end()); } template bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } template vector make_vec(size_t a) { return vector(a); } template auto make_vec(size_t a, Ts... ts) { return vector(ts...))>(a, make_vec(ts...)); } template istream& operator>>(istream& is, vector& v) { for (int i = 0; i < int(v.size()); i++) { is >> v[i]; } return is; } template ostream& operator<<(ostream& os, const vector& v) { for (int i = 0; i < int(v.size()); i++) { os << v[i]; if (i < sz(v) - 1) os << ' '; } return os; } #line 4 "/Users/gyouzasushi/kyopro/library/datastructure/unionfind.hpp" struct UnionFind { int n; std::vector data; UnionFind(int _n) : n(_n), data(_n, -1) { } int root(int x) { return (data[x] < 0) ? x : data[x] = root(data[x]); } bool unite(int x, int y) { x = root(x); y = root(y); if (x != y) { if (data[y] < data[x]) std::swap(x, y); data[x] += data[y]; data[y] = x; } return x != y; } bool find(int x, int y) { return root(x) == root(y); } int size(int x) { return -data[root(x)]; } std::vector> groups() { std::vector root_buf(n), group_size(n); for (int i = 0; i < n; i++) { root_buf[i] = root(i); group_size[root_buf[i]]++; } std::vector> ret(n); for (int i = 0; i < n; i++) { ret[i].reserve(group_size[i]); } for (int i = 0; i < n; i++) { ret[root_buf[i]].push_back(i); } ret.erase(std::remove_if( ret.begin(), ret.end(), [&](const std::vector& v) { return v.empty(); }), ret.end()); return ret; } }; #line 54 "main.cpp" int main() { int n, m; cin >> n >> m; UnionFind uf(2 * n); rep(i, m) { int a, b; cin >> a >> b; a--, b--; uf.unite(a, b + n); uf.unite(a + n, b); } bool ans = true; rep(i, n) { ans &= uf.find(i, i + n); } if (ans) { cout << "Yes\n"; } else { cout << "No\n"; } }