// Laufzeit: O(n*min(ans^2, |E|)) vector< vector > adjlist; // Von links nach rechts. vector pairs; // Der gematchte Knoten oder -1. vector visited; bool dfs(int v) { if (visited[v]) return false; visited[v] = true; for (auto w : adjlist[v]) if (pairs[w] < 0 || dfs(pairs[w])) { pairs[w] = v; pairs[v] = w; return true; } return false; } int kuhn(int n) { // n = #Knoten links. pairs.assign(NUM_VERTICES, -1); int ans = 0; // Greedy Matching. Optionale Beschleunigung. for (int i = 0; i < n; i++) for (auto w : adjlist[i]) if (pairs[w] == -1) pairs[i] = w; pairs[w] = i; ans++; break; } for (int i = 0; i < n; i++) if (pairs[i] == -1) { visited.assign(n, false); ans += dfs(i); } return ans; // Größe des Matchings. }