// -*- 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;

}