#include <iostream>

 #include <list_graph.h>

 #include <dimacs.h>

 #include <max_flow.h>

 #include <time_measure.h>

 using namespace hugo;

 int main(int, char **) {

   typedef ListGraph Graph;

   typedef Graph::Node Node;

   typedef Graph::EdgeIt EdgeIt;

   Graph G;

   Node s, t;

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

   readDimacs(std::cin, G, cap, s, t);

   Timer ts;

   std::cout <<

     "\n  Running max_flow.h on a graph with " << 

     G.nodeNum() << " nodes and " << G.edgeNum() << " edges..."

 	   << std::endl<<std::endl;

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

   MaxFlow<Graph, int> max_flow_test(G, s, t, cap, flow);

   ts.reset();

   max_flow_test.run();

   std::cout << "Elapsed time of run(): " << std::endl 

 	    <<ts << std::endl;

   Graph::NodeMap<bool> mincut(G);

   max_flow_test.minMinCut(mincut); 

   int min_min_cut_value=0;

   EdgeIt e;

   for(G.first(e); G.valid(e); G.next(e)) {

     if (mincut[G.tail(e)] && !mincut[G.head(e)]) min_min_cut_value+=cap[e];

   }

   Graph::NodeMap<bool> cut(G);

   max_flow_test.minCut(cut); 

   int min_cut_value=0;

   for(G.first(e); G.valid(e); G.next(e)) {

     if (cut[G.tail(e)] && !cut[G.head(e)]) 

       min_cut_value+=cap[e];

   }

   Graph::NodeMap<bool> maxcut(G);

   max_flow_test.maxMinCut(maxcut); 

   int max_min_cut_value=0;

   for(G.first(e); G.valid(e); G.next(e)) {

     if (maxcut[G.tail(e)] && !maxcut[G.head(e)]) 

       max_min_cut_value+=cap[e];

       }

   std::cout << "\n Checking the result: " <<std::endl;  

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

   std::cout << "Min cut value: "<< min_cut_value << std::endl;

   std::cout << "Min min cut value: "<< min_min_cut_value << std::endl;

   std::cout << "Max min cut value: "<< max_min_cut_value << 

     std::endl;

   if ( max_flow_test.flowValue() == min_cut_value &&

        min_cut_value == min_min_cut_value &&

        min_min_cut_value == max_min_cut_value )

     std::cout << "They are equal! " <<std::endl<< std::endl<<"\n";  

   Graph::EdgeMap<int> flow2(G,0);

   std::cout << "Calling resetFlow() " << std::endl 

 	    << ts << std::endl;

   max_flow_test.resetFlow(flow2);  

   ts.reset();

   max_flow_test.preflow(max_flow_test.PRE_FLOW);

   std::cout << "Elapsed time of preflow(PRE_FLOW) starting from the zero flow: " << std::endl 

 	    << ts << std::endl;

   Graph::NodeMap<bool> mincut2(G);

   max_flow_test.minMinCut(mincut2); 

   int min_min_cut_value2=0;

     for(G.first(e); G.valid(e); G.next(e)) {

     if (mincut2[G.tail(e)] && !mincut2[G.head(e)]) min_min_cut_value2+=cap[e];

   }

   Graph::NodeMap<bool> cut2(G);

   max_flow_test.minCut(cut2); 

   int min_cut_value2=0;

   for(G.first(e); G.valid(e); G.next(e)) {

     if (cut2[G.tail(e)] && !cut2[G.head(e)]) 

       min_cut_value2+=cap[e];

   }

   Graph::NodeMap<bool> maxcut2(G);

   max_flow_test.maxMinCut(maxcut2); 

   int max_min_cut_value2=0;

   for(G.first(e); G.valid(e); G.next(e)) {

     if (maxcut2[G.tail(e)] && !maxcut2[G.head(e)]) 

       max_min_cut_value2+=cap[e];

       }

   std::cout << "\n Checking the result: " <<std::endl;  

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

   std::cout << "Min cut value: "<< min_cut_value2 << std::endl;

   std::cout << "Min min cut value: "<< min_min_cut_value2 << std::endl;

   std::cout << "Max min cut value: "<< max_min_cut_value2 << 

     std::endl;  

   if ( max_flow_test.flowValue() == min_cut_value &&

        min_cut_value == min_min_cut_value &&

        min_min_cut_value == max_min_cut_value )

     std::cout << "They are equal! " <<std::endl;  

   MaxFlow<Graph, int> max_flow_test3(G, s, t, cap, flow2);

   max_flow_test3.run(max_flow_test3.GEN_FLOW);

   std::cout << "Calling run(GEN_FLOW) from the max flow found before. " <<std::endl;  

   Graph::NodeMap<bool> mincut3(G);

   max_flow_test3.minMinCut(mincut3); 

   int min_min_cut_value3=0;

   for(G.first(e); G.valid(e); G.next(e)) {

     if (mincut3[G.tail(e)] && !mincut3[G.head(e)]) min_min_cut_value3+=cap[e];

   }

   Graph::NodeMap<bool> cut3(G);

   max_flow_test3.minCut(cut3); 

   int min_cut_value3=0;

   for(G.first(e); G.valid(e); G.next(e)) {

     if (cut3[G.tail(e)] && !cut3[G.head(e)]) 

       min_cut_value3+=cap[e];

   }

   Graph::NodeMap<bool> maxcut3(G);

   max_flow_test3.maxMinCut(maxcut3); 

   int max_min_cut_value3=0;

   for(G.first(e); G.valid(e); G.next(e)) {

     if (maxcut3[G.tail(e)] && !maxcut3[G.head(e)]) 

       max_min_cut_value3+=cap[e];

   }

   std::cout << "\n Checking the result: " <<std::endl;  

   std::cout << "Flow value: "<< max_flow_test3.flowValue() << std::endl;

   std::cout << "Min cut value: "<< min_cut_value3 << std::endl;

   std::cout << "Min min cut value: "<< min_min_cut_value3 << std::endl;

   std::cout << "Max min cut value: "<< max_min_cut_value3 << 

     std::endl;

   if ( max_flow_test3.flowValue() == min_cut_value3 &&

        min_cut_value3 == min_min_cut_value3 &&

        min_min_cut_value3 == max_min_cut_value3 )

     std::cout << "They are equal! " <<std::endl<< std::endl<<"\n";  

   return 0;

 }