// -*- c++ -*-

 #include <iostream>

 #include <fstream>

 #include <sage_graph.h>

 #include <lemon/smart_graph.h>

 #include <lemon/dimacs.h>

 #include <lemon/time_measure.h>

 //#include <graph_wrapper.h>

 #include <lemon/max_flow.h>

 #include <augmenting_flow.h>

 //#include <preflow_res.h>

 #include <for_each_macros.h>

 #include <lp_solver_wrapper.h>

 using namespace lemon;

 // Use a DIMACS max flow file as stdin.

 // max_flow_demo < dimacs_max_flow_file

 template<typename Edge, typename EdgeIndexMap> 

 class PrimalMap {

 protected:

   LPSolverWrapper* lp;

   EdgeIndexMap* edge_index_map;

 public:

   PrimalMap(LPSolverWrapper& _lp, EdgeIndexMap& _edge_index_map) : 

     lp(&_lp), edge_index_map(&_edge_index_map) { }

   double operator[](Edge e) const { 

     return lp->getPrimal((*edge_index_map)[e]);

   }

 };

 int main(int, char **) {

   typedef SageGraph MutableGraph;

   //typedef SmartGraph Graph;

   typedef SageGraph 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);

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

   Timer ts;

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

   MaxFlow<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> > 

     max_flow_test(g, s, t, cap, flow);

   AugmentingFlow<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> > 

     augmenting_flow_test(g, s, t, cap, flow);

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

   {

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

     ts.reset();

     max_flow_test.run();

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

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

     max_flow_test.actMinCut(cut);

     FOR_EACH_LOC(Graph::EdgeIt, e, g) {

       if (cut[g.source(e)] && !cut[g.target(e)] && !flow[e]==cap[e]) 

 	std::cout << "Slackness does not hold!" << std::endl;

       if (!cut[g.source(e)] && cut[g.target(e)] && flow[e]>0) 

 	std::cout << "Slackness does not hold!" << std::endl;

     }

   }

 //   {

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

 //     FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0);

 //     ts.reset();

 //     max_flow_test.preflow(MaxFlow<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> >::GEN_FLOW);

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

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

 //     FOR_EACH_LOC(Graph::EdgeIt, e, g) {

 //       if (cut[g.source(e)] && !cut[g.target(e)] && !flow[e]==cap[e]) 

 // 	std::cout << "Slackness does not hold!" << std::endl;

 //       if (!cut[g.source(e)] && cut[g.target(e)] && flow[e]>0) 

 // 	std::cout << "Slackness does not hold!" << std::endl;

 //     }

 //   }

 //   {

 //     std::cout << "wrapped preflow ..." << std::endl;

 //     FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0);

 //     ts.reset();

 //     pre_flow_res.run();

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

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

 //   }

   {

     std::cout << "physical blocking flow augmentation ..." << std::endl;

     FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0);

     ts.reset();

     int i=0;

     while (augmenting_flow_test.augmentOnBlockingFlow<MutableGraph>()) { ++i; }

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

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

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

     FOR_EACH_LOC(Graph::EdgeIt, e, g) {

       if (cut[g.source(e)] && !cut[g.target(e)] && !flow[e]==cap[e]) 

 	std::cout << "Slackness does not hold!" << std::endl;

       if (!cut[g.source(e)] && cut[g.target(e)] && flow[e]>0) 

 	std::cout << "Slackness does not hold!" << std::endl;

     }

   }

 //   {

 //     std::cout << "faster physical blocking flow augmentation ..." << std::endl;

 //     FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0);

 //     ts.reset();

 //     int i=0;

 //     while (max_flow_test.augmentOnBlockingFlow1<MutableGraph>()) { ++i; }

 //     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 blocking flow augmentation ..." << std::endl;

     FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0);

     ts.reset();

     int i=0;

     while (augmenting_flow_test.augmentOnBlockingFlow2()) { ++i; }

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

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

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

     FOR_EACH_LOC(Graph::EdgeIt, e, g) {

       if (cut[g.source(e)] && !cut[g.target(e)] && !flow[e]==cap[e]) 

 	std::cout << "Slackness does not hold!" << std::endl;

       if (!cut[g.source(e)] && cut[g.target(e)] && flow[e]>0) 

 	std::cout << "Slackness does not hold!" << std::endl;

     }

   }

 //   {

 //     std::cout << "on-the-fly shortest path augmentation ..." << std::endl;

 //     FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0);

 //     ts.reset();

 //     int i=0;

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

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

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

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

 //     FOR_EACH_LOC(Graph::EdgeIt, e, g) {

 //       if (cut[g.source(e)] && !cut[g.target(e)] && !flow[e]==cap[e]) 

 // 	std::cout << "Slackness does not hold!" << std::endl;

 //       if (!cut[g.source(e)] && cut[g.target(e)] && flow[e]>0) 

 // 	std::cout << "Slackness does not hold!" << std::endl;

 //     }

 //   }

 //   {

 //     std::cout << "on-the-fly shortest path augmentation ..." << std::endl;

 //     FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0);

 //     ts.reset();

 //     int i=0;

 //     while (augmenting_flow_test.augmentOnShortestPath2()) { ++i; }

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

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

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

 //     FOR_EACH_LOC(Graph::EdgeIt, e, g) {

 //       if (cut[g.source(e)] && !cut[g.target(e)] && !flow[e]==cap[e]) 

 // 	std::cout << "Slackness does not hold!" << std::endl;

 //       if (!cut[g.source(e)] && cut[g.target(e)] && flow[e]>0) 

 // 	std::cout << "Slackness does not hold!" << std::endl;

 //     }

 //   }

   ts.reset();

   LPSolverWrapper lp;

   lp.setMaximize();

   typedef LPSolverWrapper::ColIt ColIt;

   typedef LPSolverWrapper::RowIt RowIt;

   typedef Graph::EdgeMap<ColIt> EdgeIndexMap;

   EdgeIndexMap edge_index_map(g);

   PrimalMap<Graph::Edge, EdgeIndexMap> lp_flow(lp, edge_index_map);

   Graph::EdgeIt e;

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

     ColIt col_it=lp.addCol();

     edge_index_map.set(e, col_it);

     lp.setColBounds(col_it, LPX_DB, 0.0, cap[e]);

   }

   Graph::NodeIt n;

   for (g.first(n); g.valid(n); g.next(n)) {

     if (n!=s) {

       //hurokelek miatt

       Graph::EdgeMap<int> coeffs(g, 0);

       {

 	Graph::InEdgeIt e;

 	for (g.first(e, n); g.valid(e); g.next(e)) coeffs.set(e, coeffs[e]+1);

       }

       {

 	Graph::OutEdgeIt e;

 	for (g.first(e, n); g.valid(e); g.next(e)) coeffs.set(e, coeffs[e]-1);

       }

       if (n==t) {

 	Graph::EdgeIt e;

 	//std::vector< std::pair<ColIt, double> > row;

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

 	  if (coeffs[e]!=0) 

 	    lp.setObjCoef(edge_index_map[e], coeffs[e]);

 	}

       } else  {

 	RowIt row_it=lp.addRow();

 	Graph::EdgeIt e;

 	std::vector< std::pair<ColIt, double> > row;

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

 	  if (coeffs[e]!=0) 

 	    row.push_back(std::make_pair(edge_index_map[e], coeffs[e]));

 	}	

 	lp.setRowCoeffs(row_it, row.begin(), row.end());

 	lp.setRowBounds(row_it, LPX_FX, 0.0, 0.0);

       }

     }

   }

   lp.solveSimplex();

   std::cout << "flow value: "<< lp.getObjVal() << std::endl;

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

   return 0;

 }