#include #include #include // For std::iota #include #include // For std::max // DSU structure struct DSU { std::vector parent; DSU(int n) { parent.resize(n + 1); std::iota(parent.begin(), parent.end(), 0); // parent[i] = i for 0 to n } int find(int i) { if (parent[i] == i) return i; return parent[i] = find(parent[i]); // Path compression } void unite(int i, int j) { int root_i = find(i); int root_j = find(j); if (root_i != root_j) { parent[root_i] = root_j; } } }; int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(NULL); int n, m; std::cin >> n >> m; if (m == 0) { std::cout << 0 << std::endl; return 0; } std::vector in_degree(n + 1, 0); std::vector out_degree(n + 1, 0); std::vector> edges(m); std::set active_nodes; // To keep track of nodes involved in edges for (int i = 0; i < m; ++i) { int u, v; std::cin >> u >> v; edges[i] = {u, v}; out_degree[u]++; in_degree[v]++; active_nodes.insert(u); active_nodes.insert(v); } // Calculate P_val = sum of (out_degree - in_degree) for nodes where out_degree > in_degree long long p_val = 0; for (int i = 1; i <= n; ++i) { if (out_degree[i] > in_degree[i]) { p_val += (out_degree[i] - in_degree[i]); } } // Calculate K_deg: edges needed for degree balancing for an Eulerian path long long k_deg = std::max(0LL, p_val - 1); // Calculate K_conn: edges needed for weak connectivity DSU dsu(n); for (const auto& edge : edges) { dsu.unite(edge.first, edge.second); } int num_components = 0; // active_nodes must be non-empty if m > 0 if (!active_nodes.empty()) { std::set roots; for (int node_val : active_nodes) { roots.insert(dsu.find(node_val)); } num_components = roots.size(); } // Since m > 0, active_nodes is not empty, so num_components >= 1. long long k_conn = num_components - 1; // The minimum number of edges to add is max(K_deg, K_conn) std::cout << std::max(k_deg, k_conn) << std::endl; return 0; }