#include #include #include #include struct EulerianTrailInUndirectedGraph { std::vector trail; EulerianTrailInUndirectedGraph(const int n) : n(n), graph(n), is_visited(n) {} void add_edge(const int u, const int v) { graph[u].emplace_back(v, graph[v].size()); graph[v].emplace_back(u, graph[u].size() - 1); } bool build(int s = -1) { trail.clear(); int odd_deg = 0, edge_num = 0; for (int i = 0; i < n; ++i) { if (graph[i].size() & 1) { ++odd_deg; if (s == -1) { s = i; } } edge_num += graph[i].size(); } if (s == -1) { for (int i = 0; i < n; ++i) { if (!graph[i].empty()) { s = i; break; } } if (s == -1) { assert(edge_num == 0); trail.emplace_back(0); return true; } } for (int i = 0; i < n; ++i) { is_visited[i].assign(graph[i].size(), false); } if (odd_deg == 0 || (odd_deg == 2 && (graph[s].size() & 1))) { dfs(s); if (trail.size() == (edge_num >> 1) + 1) { std::reverse(trail.begin(), trail.end()); return true; } trail.clear(); } return false; } private: struct Edge { int dst, rev; Edge(const int dst, const int rev) : dst(dst), rev(rev) {} }; const int n; std::vector> graph; std::vector> is_visited; void dfs(const int ver) { const int deg = graph[ver].size(); for (int i = 0; i < deg; ++i) { if (!is_visited[ver][i]) { const int dst = graph[ver][i].dst; is_visited[ver][i] = is_visited[dst][graph[ver][i].rev] = true; dfs(dst); } } trail.emplace_back(ver); } }; int main() { int n, m; std::cin >> n >> m; EulerianTrailInUndirectedGraph eulerian_trail(n); while (m--) { int sa, sb; std::cin >> sa >> sb; eulerian_trail.add_edge(sa, sb); } std::cout << (eulerian_trail.build() ? "YES\n" : "NO\n"); return 0; }