// -*- 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_gen.h>

 #include <leda_graph_wrapper.h>

 #include <sage_graph.h>

 //#include <smart_graph.h>

 //#include <dimacs.h>

 #include <lemon/time_measure.h>

 #include <for_each_macros.h>

 #include <lemon/graph_wrapper.h>

 #include <bipartite_graph_wrapper.h>

 #include <lemon/maps.h>

 #include <lemon/max_flow.h>

 #include <augmenting_flow.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;

 int main() {

   //for leda graph

   leda::graph lg;

   //lg.make_undirected();

   typedef LedaGraphWrapper<leda::graph> Graph;

   Graph g(lg);

   //for UndirSageGraph

   //typedef UndirSageGraph Graph; 

   //Graph g;

   typedef Graph::Node Node;

   typedef Graph::NodeIt NodeIt;

   typedef Graph::Edge Edge;

   typedef Graph::EdgeIt EdgeIt;

   typedef Graph::OutEdgeIt OutEdgeIt;

   std::vector<Graph::Node> s_nodes;

   std::vector<Graph::Node> t_nodes;

   int a;

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

   std::cin >> a; 

   int b;

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

   std::cin >> b; 

   int m;

   std::cout << "number of edges=";

   std::cin >> m; 

   int k;

   std::cout << "A bipartite graph is a random group graph if the color classes \nA and B are partitiones to A_0, A_1, ..., A_{k-1} and B_0, B_1, ..., B_{k-1} \nas equally as possible \nand the edges from A_i goes to A_{i-1 mod k} and A_{i+1 mod k}.\n";

   std::cout << "number of groups in LEDA random group graph=";

   std::cin >> k; 

   std::cout << std::endl;

   leda_list<leda_node> lS;

   leda_list<leda_node> lT;

   random_bigraph(lg, a, b, m, lS, lT, k);

   Graph::NodeMap<int> ref_map(g, -1);

   IterableBoolMap< Graph::NodeMap<int> > bipartite_map(ref_map);

   //generating leda random group graph

   leda_node ln;

   forall(ln, lS) bipartite_map.insert(ln, false);

   forall(ln, lT) bipartite_map.insert(ln, true);

   //making bipartite graph

   typedef BipartiteGraphWrapper<Graph> BGW;

   BGW bgw(g, bipartite_map);

   //st-wrapper

   typedef stBipartiteGraphWrapper<BGW> stGW;

   stGW stgw(bgw);

   ConstMap<stGW::Edge, int> const1map(1);

   stGW::EdgeMap<int> flow(stgw);

   Timer ts;

   ts.reset();

   FOR_EACH_LOC(stGW::EdgeIt, e, stgw) flow.set(e, 0);

   MaxFlow<stGW, int, ConstMap<stGW::Edge, int>, stGW::EdgeMap<int> > 

     max_flow_test(stgw, stgw.S_NODE, stgw.T_NODE, const1map, flow/*, true*/);

   max_flow_test.run();

   std::cout << "LEMON max matching algorithm based on preflow." << std::endl 

 	    << "Size of matching: " 

 	    << max_flow_test.flowValue() << std::endl;

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

   ts.reset();  

   leda_list<leda_edge> ml=MAX_CARD_BIPARTITE_MATCHING(lg);

   std::cout << "LEDA max matching algorithm." << std::endl 

 	    << "Size of matching: " 

 	    << ml.size() << std::endl;

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

   std::cout << "\n";

   ts.reset();

   FOR_EACH_LOC(stGW::EdgeIt, e, stgw) flow.set(e, 0);

   typedef SageGraph MutableGraph;

   AugmentingFlow<stGW, int, ConstMap<stGW::Edge, int>, stGW::EdgeMap<int> > 

     max_flow_test_1(stgw, stgw.S_NODE, stgw.T_NODE, const1map, flow/*, true*/);

   while (max_flow_test_1.augmentOnBlockingFlow<MutableGraph>()) { }

   std::cout << "LEMON max matching algorithm based on blocking flow augmentation." 

 	    << std::endl << "Matching size: " 

 	    << max_flow_test_1.flowValue() << std::endl;

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

   return 0;

 }