// -*- c++ -*-

 #include <iostream>

 #include <fstream>

 #include <vector>

 #include <cstdlib>

 #include <LEDA/graph.h>

 #include <LEDA/mcb_matching.h>

 #include <LEDA/list.h>

 #include <leda_graph_wrapper.h>

 #include <sage_graph.h>

 #include <dimacs.h>

 #include <time_measure.h>

 #include <edmonds_karp.h>

 /**

  * Inicializalja a veletlenszamgeneratort.

  * Figyelem, ez nem jo igazi random szamokhoz,

  * erre ne bizzad a titkaidat!

  */

 void random_init()

 {

 	unsigned int seed = getpid();

 	seed |= seed << 15;

 	seed ^= time(0);

 	srand(seed);

 }

 /**

  * Egy veletlen int-et ad vissza 0 es m-1 kozott.

  */

 int random(int m)

 {

 	return int( double(m) * rand() / (RAND_MAX + 1.0) );

 }

 using namespace lemon;

 using std::cout; 

 using std::cin; 

 using std::endl;

 int main() {

    leda::graph g;

    typedef LedaGraphWrapper<leda::graph> Graph;

    Graph G(g);

 //  typedef ListGraph Graph;

 //  Graph G;

   typedef Graph::Node Node;

   typedef Graph::NodeIt NodeIt;  

   typedef Graph::Edge Edge;

   typedef Graph::EdgeIt EdgeIt;

   typedef Graph::OutEdgeIt OutEdgeIt;

   typedef Graph::InEdgeIt InEdgeIt;

   //Node s, t;

   //Graph::EdgeMap<int> cap(G);

   //readDimacsMaxFlow(std::cin, G, s, t, cap);

   std::vector<Node> s_nodes;

   std::vector<Node> t_nodes;

   int a;

   cout << "number of nodes in the first color class=";

   cin >> a; 

   int b;

   cout << "number of nodes in the second color class=";

   cin >> b; 

   int m;

   cout << "number of edges=";

   cin >> m;   

   for(int i=0; i<a; ++i) {

     s_nodes.push_back(G.addNode());

   }

   for(int i=0; i<a; ++i) {

     t_nodes.push_back(G.addNode());

   }

   random_init();

   for(int i=0; i<m; ++i) {

     G.addEdge(s_nodes[random(a)], t_nodes[random(b)]);

   }

 //   G.addEdge(s_nodes[1], t_nodes[5-4]);

 //   G.addEdge(s_nodes[1], t_nodes[5-4]);

 //   G.addEdge(s_nodes[1], t_nodes[4-4]);

 //   G.addEdge(s_nodes[1], t_nodes[4-4]);

 //   G.addEdge(s_nodes[2], t_nodes[4-4]);

 //   G.addEdge(s_nodes[3], t_nodes[4-4]);

   leda_list<leda_node> A;

   leda_list<leda_node> B;

   Graph::NodeMap<bool> s_map(G); //false

   Graph::NodeMap<bool> t_map(G); //false

   for(int i=0; i<a; ++i) { s_map.set(s_nodes[i], true); A+=s_nodes[i]; }

   for(int i=0; i<b; ++i) { t_map.set(t_nodes[i], true); B+=t_nodes[i]; }

 //   cout << "bfs and dfs iterator demo on the directed graph" << endl;

 //   for(NodeIt n=G.first<NodeIt>(); G.valid(n); G.next(n)) { 

 //     cout << G.id(n) << ": ";

 //     cout << "out edges: ";

 //     for(OutEdgeIt e=G.first<OutEdgeIt>(n); G.valid(e); G.next(e)) 

 //       cout << G.id(G.tail(e)) << "->" << G.id(G.head(e)) << " ";

 //     cout << "in edges: ";

 //     for(InEdgeIt e=G.first<InEdgeIt>(n); G.valid(e); G.next(e)) 

 //       cout << G.id(G.tail(e)) << "->" << G.id(G.head(e)) << " ";

 //     cout << endl;

 //   }

   {

     std::cout << "on-the-fly max bipartite matching (Edmonds-Karp) demo on wrapped leda graph..." << std::endl;

     Graph::EdgeMap<int> flow(G); //0 flow

     Graph::EdgeMap<int> cap(G, 1);

     Timer ts;

     ts.reset();

     MaxMatching<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> > max_flow_test(G, s_map, t_map, flow, cap);

     int i=0;

     while (max_flow_test.augmentOnShortestPath()) { 

 //       for(EdgeIt e=G.first<EdgeIt>(); G.valid(e); G.next(e))  

 // 	std::cout << G.id(G.tail(e)) << "-" << flow.get(e) << "->" << G.id(G.head(e)) << " ";

 //       std::cout<<std::endl;

       ++i; 

     }

 //     std::cout << "maximum matching: "<< std::endl;

 //     for(EdgeIt e=G.first<EdgeIt>(); G.valid(e); G.next(e))  

 //       if (flow.get(e))

 // 	std::cout << G.id(G.tail(e)) << "-" << flow.get(e) << "->" << G.id(G.head(e)) << " ";

 //     std::cout<<std::endl;

 //     std::cout << "edges which are not in this maximum matching: "<< std::endl;

 //     for(EdgeIt e=G.first<EdgeIt>(); G.valid(e); G.next(e))  

 //       if (!flow.get(e))

 // 	std::cout << G.id(G.tail(e)) << "-" << flow.get(e) << "->" << G.id(G.head(e)) << " ";

 //     std::cout<<std::endl;

     std::cout << "elapsed time: " << ts << std::endl;

     std::cout << "number of augmentation phases: " << i << std::endl; 

     std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl;

   }

 //   {

 //     std::cout << "on-the-fly max bipartite matching demo (Hopcroft-Karp) on wrapped leda graph..." << std::endl;

 //     Graph::EdgeMap<int> flow(G); //0 flow

 //     Graph::EdgeMap<int> cap(G, 1);

 //     Timer ts;

 //     ts.reset();

 //     MaxMatching<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> > max_flow_test(G, s_map, t_map, flow, cap);

 //     int i=0;

 //     while (max_flow_test.augmentOnBlockingFlow2()) { 

 // //       for(EdgeIt e=G.first<EdgeIt>(); G.valid(e); G.next(e))  

 // // 	std::cout << G.id(G.tail(e)) << "-" << flow.get(e) << "->" << G.id(G.head(e)) << " ";

 // //       std::cout<<std::endl;

 //       ++i; 

 //     }

 // //     std::cout << "maximum matching: "<< std::endl;

 // //     for(EdgeIt e=G.first<EdgeIt>(); G.valid(e); G.next(e))  

 // //       if (flow.get(e))

 // // 	std::cout << G.id(G.tail(e)) << "-" << flow.get(e) << "->" << G.id(G.head(e)) << " ";

 // //     std::cout<<std::endl;

 // //     std::cout << "edges which are not in this maximum matching: "<< std::endl;

 // //     for(EdgeIt e=G.first<EdgeIt>(); G.valid(e); G.next(e))  

 // //       if (!flow.get(e))

 // // 	std::cout << G.id(G.tail(e)) << "-" << flow.get(e) << "->" << G.id(G.head(e)) << " ";

 // //     std::cout<<std::endl;

 //     std::cout << "elapsed time: " << ts << std::endl;

 //     std::cout << "number of augmentation phases: " << i << std::endl; 

 //     std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl;

 //   }

   {

     std::cout << "max bipartite matching (LEDA)..." << std::endl;

     //Graph::EdgeMap<int> flow(G); //0 flow

     //Graph::EdgeMap<int> cap(G, 1);

     leda_node_array<bool> NC(g);

     Timer ts;

     ts.reset();

     //MaxMatching<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> > max_flow_test(G, s_map, t_map, flow, cap);

     //int i=0;

     //while (max_flow_test.augmentOnShortestPath()) { ++i; }

     //leda_list<leda_edge> l=MAX_CARD_BIPARTITE_MATCHING_HK(g, A, B, NC, false);

     leda_list<leda_edge> l=MAX_CARD_BIPARTITE_MATCHING(g);    

 //     std::cout << "maximum matching: "<< std::endl;

 //     for(EdgeIt e=G.first<EdgeIt>(); G.valid(e); G.next(e))  

 //       if (flow.get(e))

 // 	std::cout << G.id(G.tail(e)) << "-" << flow.get(e) << "->" << G.id(G.head(e)) << " ";

 //     std::cout<<std::endl;

 //     std::cout << "edges which are not in this maximum matching: "<< std::endl;

 //     for(EdgeIt e=G.first<EdgeIt>(); G.valid(e); G.next(e))  

 //       if (!flow.get(e))

 // 	std::cout << G.id(G.tail(e)) << "-" << flow.get(e) << "->" << G.id(G.head(e)) << " ";

 //     std::cout<<std::endl;

     std::cout << "elapsed time: " << ts << std::endl;

     //std::cout << "number of augmentation phases: " << i << std::endl; 

     std::cout << "flow value: "<< l.size() << std::endl;

   }

   return 0;

 }