#include <iostream>

#include <smart_graph.h>

#include <list_graph.h>

#include <dimacs.h>

#include <preflowproba.h>

#include <time_measure.h>

using namespace hugo;

int main(int, char **) {

  typedef SmartGraph Graph;

  typedef Graph::Node Node;

  typedef Graph::EdgeIt EdgeIt;

  Graph G;

  Node s, t;

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

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

  Timer ts;

  std::cout << "preflow demo ..." << std::endl;

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

  Preflow<Graph, int> max_flow_test(G, s, t, cap, flow, 1);

  ts.reset();

  max_flow_test.run();

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

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

  max_flow_test.minCut(cut); 

  int min_cut_value=0;

  EdgeIt e;

  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> cut1(G);

  max_flow_test.minMinCut(cut1); 

  int min_min_cut_value=0;

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

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

      min_min_cut_value+=cap[e];

  }

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

  max_flow_test.maxMinCut(cut2); 

  int max_min_cut_value=0;

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

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

      max_min_cut_value+=cap[e];

      }

  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<< std::endl;

  return 0;

}