# HG changeset patch
# User marci
# Date 1083254830 0
# Node ID 229a16b5fd0f576afb2840162e0d2755275472f7
# Parent  2cef25dcde3f9c8e10f86d5f21e9196759078c8e
edmonds_karp

diff -r 2cef25dcde3f -r 229a16b5fd0f src/work/marci/edmonds_karp.h
--- a/src/work/marci/edmonds_karp.h	Thu Apr 29 16:04:27 2004 +0000
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,956 +0,0 @@
-// -*- c++ -*-
-#ifndef HUGO_EDMONDS_KARP_H
-#define HUGO_EDMONDS_KARP_H
-
-#include <algorithm>
-#include <list>
-#include <iterator>
-
-#include <bfs_iterator.h>
-#include <invalid.h>
-#include <graph_wrapper.h>
-#include <maps.h>
-#include <for_each_macros.h>
-
-namespace hugo {
-
-  template <typename Graph, typename Num, 
-	    typename CapMap, typename FlowMap>
-  class MaxFlow {
-  protected:
-    typedef typename Graph::Node Node;
-    typedef typename Graph::Edge Edge;
-    typedef typename Graph::EdgeIt EdgeIt;
-    typedef typename Graph::OutEdgeIt OutEdgeIt;
-    typedef typename Graph::InEdgeIt InEdgeIt;
-    const Graph* g;
-    Node s;
-    Node t;
-    const CapMap* capacity;
-    FlowMap* flow;
-    typedef ResGraphWrapper<const Graph, Num, CapMap, FlowMap> ResGW;
-    typedef typename ResGW::OutEdgeIt ResGWOutEdgeIt;
-    typedef typename ResGW::Edge ResGWEdge;
-    //typedef typename ResGW::template NodeMap<bool> ReachedMap;
-    typedef typename Graph::template NodeMap<bool> ReachedMap;
-    ReachedMap level;
-    //reached is called level because of compatibility with preflow
-  public:
-
-    MaxFlow(const Graph& _g, Node _s, Node _t, const CapMap& _capacity, 
-	    FlowMap& _flow) : 
-      g(&_g), s(_s), t(_t), capacity(&_capacity), flow(&_flow), level(_g) { }
-
-    bool augmentOnShortestPath() {
-      ResGW res_graph(*g, *capacity, *flow);
-      bool _augment=false;
-      
-      //ReachedMap level(res_graph);
-      FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0);
-      BfsIterator<ResGW, ReachedMap> bfs(res_graph, level);
-      bfs.pushAndSetReached(s);
-	
-      typename ResGW::template NodeMap<ResGWEdge> pred(res_graph); 
-      pred.set(s, INVALID);
-      
-      typename ResGW::template NodeMap<Num> free(res_graph);
-	
-      //searching for augmenting path
-      while ( !bfs.finished() ) { 
-	ResGWOutEdgeIt e=bfs;
-	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {
-	  Node v=res_graph.tail(e);
-	  Node w=res_graph.head(e);
-	  pred.set(w, e);
-	  if (res_graph.valid(pred[v])) {
-	    free.set(w, std::min(free[v], res_graph.resCap(e)));
-	  } else {
-	    free.set(w, res_graph.resCap(e)); 
-	  }
-	  if (res_graph.head(e)==t) { _augment=true; break; }
-	}
-	
-	++bfs;
-      } //end of searching augmenting path
-
-      if (_augment) {
-	Node n=t;
-	Num augment_value=free[t];
-	while (res_graph.valid(pred[n])) { 
-	  ResGWEdge e=pred[n];
-	  res_graph.augment(e, augment_value); 
-	  n=res_graph.tail(e);
-	}
-      }
-
-      return _augment;
-    }
-
-    template<typename MapGraphWrapper> 
-    class DistanceMap {
-    protected:
-      const MapGraphWrapper* g;
-      typename MapGraphWrapper::template NodeMap<int> dist; 
-    public:
-      DistanceMap(MapGraphWrapper& _g) : g(&_g), dist(*g, g->nodeNum()) { }
-      void set(const typename MapGraphWrapper::Node& n, int a) { 
-	dist.set(n, a); 
-      }
-      int operator[](const typename MapGraphWrapper::Node& n) 
-	{ return dist[n]; }
-//       int get(const typename MapGraphWrapper::Node& n) const { 
-// 	return dist[n]; }
-//       bool get(const typename MapGraphWrapper::Edge& e) const { 
-// 	return (dist.get(g->tail(e))<dist.get(g->head(e))); }
-      bool operator[](const typename MapGraphWrapper::Edge& e) const { 
-	return (dist[g->tail(e)]<dist[g->head(e)]); 
-      }
-    };
-
-    template<typename MutableGraph> bool augmentOnBlockingFlow() {      
-      typedef MutableGraph MG;
-      bool _augment=false;
-
-      ResGW res_graph(*g, *capacity, *flow);
-
-      //ReachedMap level(res_graph);
-      FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0);
-      BfsIterator<ResGW, ReachedMap> bfs(res_graph, level);
-
-      bfs.pushAndSetReached(s);
-      //typename ResGW::NodeMap<int> dist(res_graph); //filled up with 0's
-      DistanceMap<ResGW> dist(res_graph);
-      while ( !bfs.finished() ) { 
-	ResGWOutEdgeIt e=bfs;
-	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {
-	  dist.set(res_graph.head(e), dist[res_graph.tail(e)]+1);
-	}
-	++bfs;
-      } //computing distances from s in the residual graph
-
-      MG F;
-      ConstMap<typename ResGW::Node, bool> true_map(true);
-      typedef SubGraphWrapper<ResGW, ConstMap<typename ResGW::Node, bool>, 
-	DistanceMap<ResGW> > FilterResGW;
-      FilterResGW filter_res_graph(res_graph, true_map, dist);
-      typename ResGW::template NodeMap<typename MG::Node> 
-	res_graph_to_F(res_graph);
-      {
-	typename ResGW::NodeIt n;
-	for(res_graph.first(n); res_graph.valid(n); res_graph.next(n)) {
-	  res_graph_to_F.set(n, F.addNode());
-	}
-      }
-
-      typename MG::Node sF=res_graph_to_F[s];
-      typename MG::Node tF=res_graph_to_F[t];
-      typename MG::template EdgeMap<ResGWEdge> original_edge(F);
-      typename MG::template EdgeMap<Num> residual_capacity(F);
-
-      //Making F to the graph containing the edges of the residual graph 
-      //which are in some shortest paths
-      {
-	typename FilterResGW::EdgeIt e;
-	for(filter_res_graph.first(e); filter_res_graph.valid(e); filter_res_graph.next(e)) {
-	  //if (dist.get(res_graph.head(e))==dist.get(res_graph.tail(e))+1) {
-	  typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)], res_graph_to_F[res_graph.head(e)]);
-	  original_edge.update();
-	  original_edge.set(f, e);
-	  residual_capacity.update();
-	  residual_capacity.set(f, res_graph.resCap(e));
-	  //} 
-	}
-      }
-
-      bool __augment=true;
-
-      while (__augment) {
-	__augment=false;
-	//computing blocking flow with dfs
-
-	DfsIterator< MG, typename MG::template NodeMap<bool> > dfs(F);
-	typename MG::template NodeMap<typename MG::Edge> pred(F);
-	pred.set(sF, INVALID);
-	//invalid iterators for sources
-
-	typename MG::template NodeMap<Num> free(F);
-
-	dfs.pushAndSetReached(sF);      
-	while (!dfs.finished()) {
-	  ++dfs;
-	  if (F.valid(/*typename MG::OutEdgeIt*/(dfs))) {
-	    if (dfs.isBNodeNewlyReached()) {
-	      typename MG::Node v=F.aNode(dfs);
-	      typename MG::Node w=F.bNode(dfs);
-	      pred.set(w, dfs);
-	      if (F.valid(pred[v])) {
-		free.set(w, std::min(free[v], residual_capacity[dfs]));
-	      } else {
-		free.set(w, residual_capacity[dfs]); 
-	      }
-	      if (w==tF) { 
-		__augment=true; 
-		_augment=true;
-		break; 
-	      }
-	      
-	    } else {
-	      F.erase(/*typename MG::OutEdgeIt*/(dfs));
-	    }
-	  } 
-	}
-
-	if (__augment) {
-	  typename MG::Node n=tF;
-	  Num augment_value=free[tF];
-	  while (F.valid(pred[n])) { 
-	    typename MG::Edge e=pred[n];
-	    res_graph.augment(original_edge[e], augment_value); 
-	    n=F.tail(e);
-	    if (residual_capacity[e]==augment_value) 
-	      F.erase(e); 
-	    else 
-	      residual_capacity.set(e, residual_capacity[e]-augment_value);
-	  }
-	}
-	
-      }
-            
-      return _augment;
-    }
-
-    template<typename MutableGraph> bool augmentOnBlockingFlow1() {      
-      typedef MutableGraph MG;
-      bool _augment=false;
-
-      ResGW res_graph(*g, *capacity, *flow);
-
-      //bfs for distances on the residual graph
-      //ReachedMap level(res_graph);
-      FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0);
-      BfsIterator<ResGW, ReachedMap> bfs(res_graph, level);
-      bfs.pushAndSetReached(s);
-      typename ResGW::template NodeMap<int> 
-	dist(res_graph); //filled up with 0's
-
-      //F will contain the physical copy of the residual graph
-      //with the set of edges which are on shortest paths
-      MG F;
-      typename ResGW::template NodeMap<typename MG::Node> 
-	res_graph_to_F(res_graph);
-      {
-	typename ResGW::NodeIt n;
-	for(res_graph.first(n); res_graph.valid(n); res_graph.next(n)) {
-	  res_graph_to_F.set(n, F.addNode());
-	}
-      }
-
-      typename MG::Node sF=res_graph_to_F[s];
-      typename MG::Node tF=res_graph_to_F[t];
-      typename MG::template EdgeMap<ResGWEdge> original_edge(F);
-      typename MG::template EdgeMap<Num> residual_capacity(F);
-
-      while ( !bfs.finished() ) { 
-	ResGWOutEdgeIt e=bfs;
-	if (res_graph.valid(e)) {
-	  if (bfs.isBNodeNewlyReached()) {
-	    dist.set(res_graph.head(e), dist[res_graph.tail(e)]+1);
-	    typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)], res_graph_to_F[res_graph.head(e)]);
-	    original_edge.update();
-	    original_edge.set(f, e);
-	    residual_capacity.update();
-	    residual_capacity.set(f, res_graph.resCap(e));
-	  } else {
-	    if (dist[res_graph.head(e)]==(dist[res_graph.tail(e)]+1)) {
-	      typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)], res_graph_to_F[res_graph.head(e)]);
-	      original_edge.update();
-	      original_edge.set(f, e);
-	      residual_capacity.update();
-	      residual_capacity.set(f, res_graph.resCap(e));
-	    }
-	  }
-	}
-	++bfs;
-      } //computing distances from s in the residual graph
-
-      bool __augment=true;
-
-      while (__augment) {
-	__augment=false;
-	//computing blocking flow with dfs
-	DfsIterator< MG, typename MG::template NodeMap<bool> > dfs(F);
-	typename MG::template NodeMap<typename MG::Edge> pred(F);
-	pred.set(sF, INVALID);
-	//invalid iterators for sources
-
-	typename MG::template NodeMap<Num> free(F);
-
-	dfs.pushAndSetReached(sF);      
-	while (!dfs.finished()) {
-	  ++dfs;
-	  if (F.valid(/*typename MG::OutEdgeIt*/(dfs))) {
-	    if (dfs.isBNodeNewlyReached()) {
-	      typename MG::Node v=F.aNode(dfs);
-	      typename MG::Node w=F.bNode(dfs);
-	      pred.set(w, dfs);
-	      if (F.valid(pred[v])) {
-		free.set(w, std::min(free[v], residual_capacity[dfs]));
-	      } else {
-		free.set(w, residual_capacity[dfs]); 
-	      }
-	      if (w==tF) { 
-		__augment=true; 
-		_augment=true;
-		break; 
-	      }
-	      
-	    } else {
-	      F.erase(/*typename MG::OutEdgeIt*/(dfs));
-	    }
-	  } 
-	}
-
-	if (__augment) {
-	  typename MG::Node n=tF;
-	  Num augment_value=free[tF];
-	  while (F.valid(pred[n])) { 
-	    typename MG::Edge e=pred[n];
-	    res_graph.augment(original_edge[e], augment_value); 
-	    n=F.tail(e);
-	    if (residual_capacity[e]==augment_value) 
-	      F.erase(e); 
-	    else 
-	      residual_capacity.set(e, residual_capacity[e]-augment_value);
-	  }
-	}
-	
-      }
-            
-      return _augment;
-    }
-
-    bool augmentOnBlockingFlow2() {
-      bool _augment=false;
-
-      ResGW res_graph(*g, *capacity, *flow);
-      
-      //ReachedMap level(res_graph);
-      FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0);
-      BfsIterator<ResGW, ReachedMap> bfs(res_graph, level);
-
-      bfs.pushAndSetReached(s);
-      DistanceMap<ResGW> dist(res_graph);
-      while ( !bfs.finished() ) { 
- 	ResGWOutEdgeIt e=bfs;
- 	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {
- 	  dist.set(res_graph.head(e), dist[res_graph.tail(e)]+1);
- 	}
-	++bfs;
-      } //computing distances from s in the residual graph
-
-      //Subgraph containing the edges on some shortest paths
-      ConstMap<typename ResGW::Node, bool> true_map(true);
-      typedef SubGraphWrapper<ResGW, ConstMap<typename ResGW::Node, bool>, 
-	DistanceMap<ResGW> > FilterResGW;
-      FilterResGW filter_res_graph(res_graph, true_map, dist);
-
-      //Subgraph, which is able to delete edges which are already 
-      //met by the dfs
-      typename FilterResGW::template NodeMap<typename FilterResGW::OutEdgeIt> 
- 	first_out_edges(filter_res_graph);
-      typename FilterResGW::NodeIt v;
-      for(filter_res_graph.first(v); filter_res_graph.valid(v); 
- 	  filter_res_graph.next(v)) 
-      {
- 	typename FilterResGW::OutEdgeIt e;
- 	filter_res_graph.first(e, v);
- 	first_out_edges.set(v, e);
-      }
-      typedef ErasingFirstGraphWrapper<FilterResGW, typename FilterResGW::
-	template NodeMap<typename FilterResGW::OutEdgeIt> > ErasingResGW;
-      ErasingResGW erasing_res_graph(filter_res_graph, first_out_edges);
-
-      bool __augment=true;
-
-      while (__augment) {
-
- 	__augment=false;
-  	//computing blocking flow with dfs
-  	DfsIterator< ErasingResGW, 
-	  typename ErasingResGW::template NodeMap<bool> > 
-  	  dfs(erasing_res_graph);
- 	typename ErasingResGW::
-	  template NodeMap<typename ErasingResGW::OutEdgeIt> 
-	  pred(erasing_res_graph); 
- 	pred.set(s, INVALID);
-  	//invalid iterators for sources
-
-  	typename ErasingResGW::template NodeMap<Num> 
-	  free1(erasing_res_graph);
-
- 	dfs.pushAndSetReached(
-	  typename ErasingResGW::Node(
-	    typename FilterResGW::Node(
-	      typename ResGW::Node(s)
-	      )
-	    )
-	  );
- 	while (!dfs.finished()) {
- 	  ++dfs;
- 	  if (erasing_res_graph.valid(
- 		typename ErasingResGW::OutEdgeIt(dfs))) 
- 	  { 
-  	    if (dfs.isBNodeNewlyReached()) {
-	  
- 	      typename ErasingResGW::Node v=erasing_res_graph.aNode(dfs);
- 	      typename ErasingResGW::Node w=erasing_res_graph.bNode(dfs);
-
- 	      pred.set(w, /*typename ErasingResGW::OutEdgeIt*/(dfs));
- 	      if (erasing_res_graph.valid(pred[v])) {
- 		free1.set(w, std::min(free1[v], res_graph.resCap(
-				       typename ErasingResGW::OutEdgeIt(dfs))));
- 	      } else {
- 		free1.set(w, res_graph.resCap(
-			   typename ErasingResGW::OutEdgeIt(dfs))); 
- 	      }
-	      
- 	      if (w==t) { 
- 		__augment=true; 
- 		_augment=true;
- 		break; 
- 	      }
- 	    } else {
- 	      erasing_res_graph.erase(dfs);
-	    }
-	  }
-	}	
-
-  	if (__augment) {
-   	  typename ErasingResGW::Node n=typename FilterResGW::Node(typename ResGW::Node(t));
-// 	  typename ResGW::NodeMap<Num> a(res_graph);
-// 	  typename ResGW::Node b;
-// 	  Num j=a[b];
-// 	  typename FilterResGW::NodeMap<Num> a1(filter_res_graph);
-// 	  typename FilterResGW::Node b1;
-// 	  Num j1=a1[b1];
-// 	  typename ErasingResGW::NodeMap<Num> a2(erasing_res_graph);
-// 	  typename ErasingResGW::Node b2;
-// 	  Num j2=a2[b2];
- 	  Num augment_value=free1[n];
- 	  while (erasing_res_graph.valid(pred[n])) { 
- 	    typename ErasingResGW::OutEdgeIt e=pred[n];
- 	    res_graph.augment(e, augment_value);
- 	    n=erasing_res_graph.tail(e);
- 	    if (res_graph.resCap(e)==0)
- 	      erasing_res_graph.erase(e);
-	}
-      }
-      
-      } //while (__augment) 
-            
-      return _augment;
-    }
-
-    void run() {
-      //int num_of_augmentations=0;
-      while (augmentOnShortestPath()) { 
-	//while (augmentOnBlockingFlow<MutableGraph>()) { 
-	//std::cout << ++num_of_augmentations << " ";
-	//std::cout<<std::endl;
-      } 
-    }
-
-    template<typename MutableGraph> void run() {
-      //int num_of_augmentations=0;
-      //while (augmentOnShortestPath()) { 
-	while (augmentOnBlockingFlow<MutableGraph>()) { 
-	//std::cout << ++num_of_augmentations << " ";
-	//std::cout<<std::endl;
-      } 
-    }
-
-    Num flowValue() { 
-      Num a=0;
-      OutEdgeIt e;
-      for(g->first(e, s); g->valid(e); g->next(e)) {
-	a+=(*flow)[e];
-      }
-      return a;
-    }
-
-  };
-
-
-//   template <typename Graph, typename Num, typename FlowMap, typename CapMap>
-//   class MaxMatching {
-//   public:
-//     typedef typename Graph::Node Node;
-//     typedef typename Graph::NodeIt NodeIt;
-//     typedef typename Graph::Edge Edge;
-//     typedef typename Graph::EdgeIt EdgeIt;
-//     typedef typename Graph::OutEdgeIt OutEdgeIt;
-//     typedef typename Graph::InEdgeIt InEdgeIt;
-
-//     typedef typename Graph::NodeMap<bool> SMap;
-//     typedef typename Graph::NodeMap<bool> TMap;
-//   private:
-//     const Graph* G;
-//     SMap* S;
-//     TMap* T;
-//     //Node s;
-//     //Node t;
-//     FlowMap* flow;
-//     const CapMap* capacity;
-//     typedef ResGraphWrapper<Graph, Num, FlowMap, CapMap > AugGraph;
-//     typedef typename AugGraph::OutEdgeIt AugOutEdgeIt;
-//     typedef typename AugGraph::Edge AugEdge;
-//     typename Graph::NodeMap<int> used; //0
-
-//   public:
-//     MaxMatching(const Graph& _G, SMap& _S, TMap& _T, FlowMap& _flow, const CapMap& _capacity) : 
-//       G(&_G), S(&_S), T(&_T), flow(&_flow), capacity(&_capacity), used(_G) { }
-//     bool augmentOnShortestPath() {
-//       AugGraph res_graph(*G, *flow, *capacity);
-//       bool _augment=false;
-      
-//       typedef typename AugGraph::NodeMap<bool> ReachedMap;
-//       BfsIterator< AugGraph, /*AugOutEdgeIt,*/ ReachedMap > bfs(res_graph);
-//       typename AugGraph::NodeMap<AugEdge> pred(res_graph); 
-//       for(NodeIt s=G->template first<NodeIt>(); G->valid(s); G->next(s)) {
-// 	if ((S->get(s)) && (used.get(s)<1) ) {
-// 	  //Num u=0;
-// 	  //for(OutEdgeIt e=G->template first<OutEdgeIt>(s); G->valid(e); G->next(e))
-// 	  //u+=flow->get(e);
-// 	  //if (u<1) {
-// 	    bfs.pushAndSetReached(s);
-// 	    pred.set(s, AugEdge(INVALID));
-// 	    //}
-// 	}
-//       }
-      
-//       typename AugGraph::NodeMap<Num> free(res_graph);
-	
-//       Node n;
-//       //searching for augmenting path
-//       while ( !bfs.finished() ) { 
-// 	AugOutEdgeIt e=bfs;
-// 	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {
-// 	  Node v=res_graph.tail(e);
-// 	  Node w=res_graph.head(e);
-// 	  pred.set(w, e);
-// 	  if (res_graph.valid(pred.get(v))) {
-// 	    free.set(w, std::min(free.get(v), res_graph.free(e)));
-// 	  } else {
-// 	    free.set(w, res_graph.free(e)); 
-// 	  }
-// 	  n=res_graph.head(e);
-// 	  if (T->get(n) && (used.get(n)<1) ) { 
-// 	    //Num u=0;
-// 	    //for(InEdgeIt f=G->template first<InEdgeIt>(n); G->valid(f); G->next(f))
-// 	    //u+=flow->get(f);
-// 	    //if (u<1) {
-// 	      _augment=true; 
-// 	      break; 
-// 	      //}
-// 	  }
-// 	}
-	
-// 	++bfs;
-//       } //end of searching augmenting path
-
-//       if (_augment) {
-// 	//Node n=t;
-// 	used.set(n, 1); //mind2 vegen jav
-// 	Num augment_value=free.get(n);
-// 	while (res_graph.valid(pred.get(n))) { 
-// 	  AugEdge e=pred.get(n);
-// 	  res_graph.augment(e, augment_value); 
-// 	  n=res_graph.tail(e);
-// 	}
-// 	used.set(n, 1); //mind2 vegen jav
-//       }
-
-//       return _augment;
-//     }
-
-// //     template<typename MutableGraph> bool augmentOnBlockingFlow() {      
-// //       bool _augment=false;
-
-// //       AugGraph res_graph(*G, *flow, *capacity);
-
-// //       typedef typename AugGraph::NodeMap<bool> ReachedMap;
-// //       BfsIterator4< AugGraph, AugOutEdgeIt, ReachedMap > bfs(res_graph);
-
-
-
-
-
-// //       //typename AugGraph::NodeMap<AugEdge> pred(res_graph); 
-// //       for(NodeIt s=G->template first<NodeIt>(); G->valid(s); G->next(s)) {
-// // 	if (S->get(s)) {
-// // 	  Num u=0;
-// // 	  for(OutEdgeIt e=G->template first<OutEdgeIt>(s); G->valid(e); G->next(e))
-// // 	    u+=flow->get(e);
-// // 	  if (u<1) {
-// // 	    bfs.pushAndSetReached(s);
-// // 	    //pred.set(s, AugEdge(INVALID));
-// // 	  }
-// // 	}
-// //       }
-
-
-
-
-// //       //bfs.pushAndSetReached(s);
-// //       typename AugGraph::NodeMap<int> dist(res_graph); //filled up with 0's
-// //       while ( !bfs.finished() ) { 
-// // 	AugOutEdgeIt e=bfs;
-// // 	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {
-// // 	  dist.set(res_graph.head(e), dist.get(res_graph.tail(e))+1);
-// // 	}
-	
-// // 	++bfs;
-// //       } //computing distances from s in the residual graph
-
-// //       MutableGraph F;
-// //       typename AugGraph::NodeMap<typename MutableGraph::Node> 
-// // 	res_graph_to_F(res_graph);
-// //       for(typename AugGraph::NodeIt n=res_graph.template first<typename AugGraph::NodeIt>(); res_graph.valid(n); res_graph.next(n)) {
-// // 	res_graph_to_F.set(n, F.addNode());
-// //       }
-      
-// //       typename MutableGraph::Node sF=res_graph_to_F.get(s);
-// //       typename MutableGraph::Node tF=res_graph_to_F.get(t);
-
-// //       typename MutableGraph::EdgeMap<AugEdge> original_edge(F);
-// //       typename MutableGraph::EdgeMap<Num> residual_capacity(F);
-
-// //       //Making F to the graph containing the edges of the residual graph 
-// //       //which are in some shortest paths
-// //       for(typename AugGraph::EdgeIt e=res_graph.template first<typename AugGraph::EdgeIt>(); res_graph.valid(e); res_graph.next(e)) {
-// // 	if (dist.get(res_graph.head(e))==dist.get(res_graph.tail(e))+1) {
-// // 	  typename MutableGraph::Edge f=F.addEdge(res_graph_to_F.get(res_graph.tail(e)), res_graph_to_F.get(res_graph.head(e)));
-// // 	  original_edge.update();
-// // 	  original_edge.set(f, e);
-// // 	  residual_capacity.update();
-// // 	  residual_capacity.set(f, res_graph.free(e));
-// // 	} 
-// //       }
-
-// //       bool __augment=true;
-
-// //       while (__augment) {
-// // 	__augment=false;
-// // 	//computing blocking flow with dfs
-// // 	typedef typename MutableGraph::NodeMap<bool> BlockingReachedMap;
-// // 	DfsIterator4< MutableGraph, typename MutableGraph::OutEdgeIt, BlockingReachedMap > dfs(F);
-// // 	typename MutableGraph::NodeMap<typename MutableGraph::Edge> pred(F);
-// // 	pred.set(sF, typename MutableGraph::Edge(INVALID));
-// // 	//invalid iterators for sources
-
-// // 	typename MutableGraph::NodeMap<Num> free(F);
-
-// // 	dfs.pushAndSetReached(sF);      
-// // 	while (!dfs.finished()) {
-// // 	  ++dfs;
-// // 	  if (F.valid(typename MutableGraph::OutEdgeIt(dfs))) {
-// // 	    if (dfs.isBNodeNewlyReached()) {
-// // 	      typename MutableGraph::Node v=F.aNode(dfs);
-// // 	      typename MutableGraph::Node w=F.bNode(dfs);
-// // 	      pred.set(w, dfs);
-// // 	      if (F.valid(pred.get(v))) {
-// // 		free.set(w, std::min(free.get(v), residual_capacity.get(dfs)));
-// // 	      } else {
-// // 		free.set(w, residual_capacity.get(dfs)); 
-// // 	      }
-// // 	      if (w==tF) { 
-// // 		__augment=true; 
-// // 		_augment=true;
-// // 		break; 
-// // 	      }
-	      
-// // 	    } else {
-// // 	      F.erase(typename MutableGraph::OutEdgeIt(dfs));
-// // 	    }
-// // 	  } 
-// // 	}
-
-// // 	if (__augment) {
-// // 	  typename MutableGraph::Node n=tF;
-// // 	  Num augment_value=free.get(tF);
-// // 	  while (F.valid(pred.get(n))) { 
-// // 	    typename MutableGraph::Edge e=pred.get(n);
-// // 	    res_graph.augment(original_edge.get(e), augment_value); 
-// // 	    n=F.tail(e);
-// // 	    if (residual_capacity.get(e)==augment_value) 
-// // 	      F.erase(e); 
-// // 	    else 
-// // 	      residual_capacity.set(e, residual_capacity.get(e)-augment_value);
-// // 	  }
-// // 	}
-	
-// //       }
-            
-// //       return _augment;
-// //     }
-//     bool augmentOnBlockingFlow2() {
-//       bool _augment=false;
-
-//       //typedef ErasingResGraphWrapper<Graph, Num, FlowMap, CapMap> EAugGraph;
-//       typedef FilterGraphWrapper< ErasingResGraphWrapper<Graph, Num, FlowMap, CapMap> > EAugGraph;
-//       typedef typename EAugGraph::OutEdgeIt EAugOutEdgeIt;
-//       typedef typename EAugGraph::Edge EAugEdge;
-
-//       EAugGraph res_graph(*G, *flow, *capacity);
-
-//       //typedef typename EAugGraph::NodeMap<bool> ReachedMap;
-//       BfsIterator< 
-// 	ErasingResGraphWrapper<Graph, Num, FlowMap, CapMap>, 
-// 	/*typename ErasingResGraphWrapper<Graph, Num, FlowMap, CapMap>::OutEdgeIt,*/ 
-// 	ErasingResGraphWrapper<Graph, Num, FlowMap, CapMap>::NodeMap<bool> > bfs(res_graph);
-
-
-//       //typename AugGraph::NodeMap<AugEdge> pred(res_graph); 
-//       for(NodeIt s=G->template first<NodeIt>(); G->valid(s); G->next(s)) {
-// 	if (S->get(s)) {
-// 	  Num u=0;
-// 	  for(OutEdgeIt e=G->template first<OutEdgeIt>(s); G->valid(e); G->next(e))
-// 	    u+=flow->get(e);
-// 	  if (u<1) {
-// 	    bfs.pushAndSetReached(s);
-// 	    //pred.set(s, AugEdge(INVALID));
-// 	  }
-// 	}
-//       }
-
-      
-//       //bfs.pushAndSetReached(s);
-
-//       typename ErasingResGraphWrapper<Graph, Num, FlowMap, CapMap>::
-// 	NodeMap<int>& dist=res_graph.dist;
-
-//       while ( !bfs.finished() ) {
-// 	typename ErasingResGraphWrapper<Graph, Num, FlowMap, CapMap>::OutEdgeIt e=bfs;
-// 	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {
-// 	  dist.set(res_graph.head(e), dist.get(res_graph.tail(e))+1);
-// 	}
-// 	++bfs;	
-//       } //computing distances from s in the residual graph
-
-//       bool __augment=true;
-
-//       while (__augment) {
-
-// 	__augment=false;
-// 	//computing blocking flow with dfs
-// 	typedef typename EAugGraph::NodeMap<bool> BlockingReachedMap;
-// 	DfsIterator< EAugGraph/*, EAugOutEdgeIt*/, BlockingReachedMap > 
-// 	  dfs(res_graph);
-// 	typename EAugGraph::NodeMap<EAugEdge> pred(res_graph, INVALID); 
-// 	//pred.set(s, EAugEdge(INVALID));
-// 	//invalid iterators for sources
-
-// 	typename EAugGraph::NodeMap<Num> free(res_graph);
-
-
-// 	//typename AugGraph::NodeMap<AugEdge> pred(res_graph); 
-//       for(NodeIt s=G->template first<NodeIt>(); G->valid(s); G->next(s)) {
-// 	if (S->get(s)) {
-// 	  Num u=0;
-// 	  for(OutEdgeIt e=G->template first<OutEdgeIt>(s); G->valid(e); G->next(e))
-// 	    u+=flow->get(e);
-// 	  if (u<1) {
-// 	    dfs.pushAndSetReached(s);
-// 	    //pred.set(s, AugEdge(INVALID));
-// 	  }
-// 	}
-//       }
-
-
-
-//       //dfs.pushAndSetReached(s);
-//       typename EAugGraph::Node n;
-// 	while (!dfs.finished()) {
-// 	  ++dfs;
-// 	  if (res_graph.valid(EAugOutEdgeIt(dfs))) { 
-// 	    if (dfs.isBNodeNewlyReached()) {
-	  
-// 	      typename EAugGraph::Node v=res_graph.aNode(dfs);
-// 	      typename EAugGraph::Node w=res_graph.bNode(dfs);
-
-// 	      pred.set(w, EAugOutEdgeIt(dfs));
-// 	      if (res_graph.valid(pred.get(v))) {
-// 		free.set(w, std::min(free.get(v), res_graph.free(dfs)));
-// 	      } else {
-// 		free.set(w, res_graph.free(dfs)); 
-// 	      }
-	     
-// 	      n=w;
-// 	      if (T->get(w)) {
-// 		Num u=0;
-// 		for(InEdgeIt f=G->template first<InEdgeIt>(n); G->valid(f); G->next(f))
-// 		  u+=flow->get(f);
-// 		if (u<1) {
-// 		  __augment=true; 
-// 		  _augment=true;
-// 		  break; 
-// 		}
-// 	      }
-// 	    } else {
-// 	      res_graph.erase(dfs);
-// 	    }
-// 	  } 
-
-// 	}
-
-// 	if (__augment) {
-// 	  // typename EAugGraph::Node n=t;
-// 	  Num augment_value=free.get(n);
-// 	  while (res_graph.valid(pred.get(n))) { 
-// 	    EAugEdge e=pred.get(n);
-// 	    res_graph.augment(e, augment_value);
-// 	    n=res_graph.tail(e);
-// 	    if (res_graph.free(e)==0)
-// 	      res_graph.erase(e);
-// 	  }
-// 	}
-      
-//       }
-            
-//       return _augment;
-//     }
-//     void run() {
-//       //int num_of_augmentations=0;
-//       while (augmentOnShortestPath()) { 
-// 	//while (augmentOnBlockingFlow<MutableGraph>()) { 
-// 	//std::cout << ++num_of_augmentations << " ";
-// 	//std::cout<<std::endl;
-//       } 
-//     }
-// //     template<typename MutableGraph> void run() {
-// //       //int num_of_augmentations=0;
-// //       //while (augmentOnShortestPath()) { 
-// // 	while (augmentOnBlockingFlow<MutableGraph>()) { 
-// // 	//std::cout << ++num_of_augmentations << " ";
-// // 	//std::cout<<std::endl;
-// //       } 
-// //     } 
-//     Num flowValue() { 
-//       Num a=0;
-//       EdgeIt e;
-//       for(G->/*getF*/first(e); G->valid(e); G->next(e)) {
-// 	a+=flow->get(e);
-//       }
-//       return a;
-//     }
-//   };
-
-
-
-
-
-  
-// //   template <typename Graph, typename Num, typename FlowMap, typename CapMap>
-// //   class MaxFlow2 {
-// //   public:
-// //     typedef typename Graph::Node Node;
-// //     typedef typename Graph::Edge Edge;
-// //     typedef typename Graph::EdgeIt EdgeIt;
-// //     typedef typename Graph::OutEdgeIt OutEdgeIt;
-// //     typedef typename Graph::InEdgeIt InEdgeIt;
-// //   private:
-// //     const Graph& G;
-// //     std::list<Node>& S;
-// //     std::list<Node>& T;
-// //     FlowMap& flow;
-// //     const CapMap& capacity;
-// //     typedef ResGraphWrapper<Graph, Num, FlowMap, CapMap > AugGraph;
-// //     typedef typename AugGraph::OutEdgeIt AugOutEdgeIt;
-// //     typedef typename AugGraph::Edge AugEdge;
-// //     typename Graph::NodeMap<bool> SMap;
-// //     typename Graph::NodeMap<bool> TMap;
-// //   public:
-// //     MaxFlow2(const Graph& _G, std::list<Node>& _S, std::list<Node>& _T, FlowMap& _flow, const CapMap& _capacity) : G(_G), S(_S), T(_T), flow(_flow), capacity(_capacity), SMap(_G), TMap(_G) { 
-// //       for(typename std::list<Node>::const_iterator i=S.begin(); 
-// // 	  i!=S.end(); ++i) { 
-// // 	SMap.set(*i, true); 
-// //       }
-// //       for (typename std::list<Node>::const_iterator i=T.begin(); 
-// // 	   i!=T.end(); ++i) { 
-// // 	TMap.set(*i, true); 
-// //       }
-// //     }
-// //     bool augment() {
-// //       AugGraph res_graph(G, flow, capacity);
-// //       bool _augment=false;
-// //       Node reached_t_node;
-      
-// //       typedef typename AugGraph::NodeMap<bool> ReachedMap;
-// //       BfsIterator4< AugGraph, AugOutEdgeIt, ReachedMap > bfs(res_graph);
-// //       for(typename std::list<Node>::const_iterator i=S.begin(); 
-// // 	  i!=S.end(); ++i) {
-// // 	bfs.pushAndSetReached(*i);
-// //       }
-// //       //bfs.pushAndSetReached(s);
-	
-// //       typename AugGraph::NodeMap<AugEdge> pred(res_graph); 
-// //       //filled up with invalid iterators
-      
-// //       typename AugGraph::NodeMap<Num> free(res_graph);
-	
-// //       //searching for augmenting path
-// //       while ( !bfs.finished() ) { 
-// // 	AugOutEdgeIt e=/*AugOutEdgeIt*/(bfs);
-// // 	if (e.valid() && bfs.isBNodeNewlyReached()) {
-// // 	  Node v=res_graph.tail(e);
-// // 	  Node w=res_graph.head(e);
-// // 	  pred.set(w, e);
-// // 	  if (pred.get(v).valid()) {
-// // 	    free.set(w, std::min(free.get(v), e.free()));
-// // 	  } else {
-// // 	    free.set(w, e.free()); 
-// // 	  }
-// // 	  if (TMap.get(res_graph.head(e))) { 
-// // 	    _augment=true; 
-// // 	    reached_t_node=res_graph.head(e);
-// // 	    break; 
-// // 	  }
-// // 	}
-	
-// // 	++bfs;
-// //       } //end of searching augmenting path
-
-// //       if (_augment) {
-// // 	Node n=reached_t_node;
-// // 	Num augment_value=free.get(reached_t_node);
-// // 	while (pred.get(n).valid()) { 
-// // 	  AugEdge e=pred.get(n);
-// // 	  e.augment(augment_value); 
-// // 	  n=res_graph.tail(e);
-// // 	}
-// //       }
-
-// //       return _augment;
-// //     }
-// //     void run() {
-// //       while (augment()) { } 
-// //     }
-// //     Num flowValue() { 
-// //       Num a=0;
-// //       for(typename std::list<Node>::const_iterator i=S.begin(); 
-// // 	  i!=S.end(); ++i) { 
-// // 	for(OutEdgeIt e=G.template first<OutEdgeIt>(*i); e.valid(); ++e) {
-// // 	  a+=flow.get(e);
-// // 	}
-// // 	for(InEdgeIt e=G.template first<InEdgeIt>(*i); e.valid(); ++e) {
-// // 	  a-=flow.get(e);
-// // 	}
-// //       }
-// //       return a;
-// //     }
-// //   };
-
-
-} // namespace hugo
-
-#endif //HUGO_EDMONDS_KARP_H
diff -r 2cef25dcde3f -r 229a16b5fd0f src/work/marci/oldies/edmonds_karp.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/work/marci/oldies/edmonds_karp.h	Thu Apr 29 16:07:10 2004 +0000
@@ -0,0 +1,956 @@
+// -*- c++ -*-
+#ifndef HUGO_EDMONDS_KARP_H
+#define HUGO_EDMONDS_KARP_H
+
+#include <algorithm>
+#include <list>
+#include <iterator>
+
+#include <bfs_iterator.h>
+#include <invalid.h>
+#include <graph_wrapper.h>
+#include <maps.h>
+#include <for_each_macros.h>
+
+namespace hugo {
+
+  template <typename Graph, typename Num, 
+	    typename CapMap, typename FlowMap>
+  class MaxFlow {
+  protected:
+    typedef typename Graph::Node Node;
+    typedef typename Graph::Edge Edge;
+    typedef typename Graph::EdgeIt EdgeIt;
+    typedef typename Graph::OutEdgeIt OutEdgeIt;
+    typedef typename Graph::InEdgeIt InEdgeIt;
+    const Graph* g;
+    Node s;
+    Node t;
+    const CapMap* capacity;
+    FlowMap* flow;
+    typedef ResGraphWrapper<const Graph, Num, CapMap, FlowMap> ResGW;
+    typedef typename ResGW::OutEdgeIt ResGWOutEdgeIt;
+    typedef typename ResGW::Edge ResGWEdge;
+    //typedef typename ResGW::template NodeMap<bool> ReachedMap;
+    typedef typename Graph::template NodeMap<bool> ReachedMap;
+    ReachedMap level;
+    //reached is called level because of compatibility with preflow
+  public:
+
+    MaxFlow(const Graph& _g, Node _s, Node _t, const CapMap& _capacity, 
+	    FlowMap& _flow) : 
+      g(&_g), s(_s), t(_t), capacity(&_capacity), flow(&_flow), level(_g) { }
+
+    bool augmentOnShortestPath() {
+      ResGW res_graph(*g, *capacity, *flow);
+      bool _augment=false;
+      
+      //ReachedMap level(res_graph);
+      FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0);
+      BfsIterator<ResGW, ReachedMap> bfs(res_graph, level);
+      bfs.pushAndSetReached(s);
+	
+      typename ResGW::template NodeMap<ResGWEdge> pred(res_graph); 
+      pred.set(s, INVALID);
+      
+      typename ResGW::template NodeMap<Num> free(res_graph);
+	
+      //searching for augmenting path
+      while ( !bfs.finished() ) { 
+	ResGWOutEdgeIt e=bfs;
+	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {
+	  Node v=res_graph.tail(e);
+	  Node w=res_graph.head(e);
+	  pred.set(w, e);
+	  if (res_graph.valid(pred[v])) {
+	    free.set(w, std::min(free[v], res_graph.resCap(e)));
+	  } else {
+	    free.set(w, res_graph.resCap(e)); 
+	  }
+	  if (res_graph.head(e)==t) { _augment=true; break; }
+	}
+	
+	++bfs;
+      } //end of searching augmenting path
+
+      if (_augment) {
+	Node n=t;
+	Num augment_value=free[t];
+	while (res_graph.valid(pred[n])) { 
+	  ResGWEdge e=pred[n];
+	  res_graph.augment(e, augment_value); 
+	  n=res_graph.tail(e);
+	}
+      }
+
+      return _augment;
+    }
+
+    template<typename MapGraphWrapper> 
+    class DistanceMap {
+    protected:
+      const MapGraphWrapper* g;
+      typename MapGraphWrapper::template NodeMap<int> dist; 
+    public:
+      DistanceMap(MapGraphWrapper& _g) : g(&_g), dist(*g, g->nodeNum()) { }
+      void set(const typename MapGraphWrapper::Node& n, int a) { 
+	dist.set(n, a); 
+      }
+      int operator[](const typename MapGraphWrapper::Node& n) 
+	{ return dist[n]; }
+//       int get(const typename MapGraphWrapper::Node& n) const { 
+// 	return dist[n]; }
+//       bool get(const typename MapGraphWrapper::Edge& e) const { 
+// 	return (dist.get(g->tail(e))<dist.get(g->head(e))); }
+      bool operator[](const typename MapGraphWrapper::Edge& e) const { 
+	return (dist[g->tail(e)]<dist[g->head(e)]); 
+      }
+    };
+
+    template<typename MutableGraph> bool augmentOnBlockingFlow() {      
+      typedef MutableGraph MG;
+      bool _augment=false;
+
+      ResGW res_graph(*g, *capacity, *flow);
+
+      //ReachedMap level(res_graph);
+      FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0);
+      BfsIterator<ResGW, ReachedMap> bfs(res_graph, level);
+
+      bfs.pushAndSetReached(s);
+      //typename ResGW::NodeMap<int> dist(res_graph); //filled up with 0's
+      DistanceMap<ResGW> dist(res_graph);
+      while ( !bfs.finished() ) { 
+	ResGWOutEdgeIt e=bfs;
+	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {
+	  dist.set(res_graph.head(e), dist[res_graph.tail(e)]+1);
+	}
+	++bfs;
+      } //computing distances from s in the residual graph
+
+      MG F;
+      ConstMap<typename ResGW::Node, bool> true_map(true);
+      typedef SubGraphWrapper<ResGW, ConstMap<typename ResGW::Node, bool>, 
+	DistanceMap<ResGW> > FilterResGW;
+      FilterResGW filter_res_graph(res_graph, true_map, dist);
+      typename ResGW::template NodeMap<typename MG::Node> 
+	res_graph_to_F(res_graph);
+      {
+	typename ResGW::NodeIt n;
+	for(res_graph.first(n); res_graph.valid(n); res_graph.next(n)) {
+	  res_graph_to_F.set(n, F.addNode());
+	}
+      }
+
+      typename MG::Node sF=res_graph_to_F[s];
+      typename MG::Node tF=res_graph_to_F[t];
+      typename MG::template EdgeMap<ResGWEdge> original_edge(F);
+      typename MG::template EdgeMap<Num> residual_capacity(F);
+
+      //Making F to the graph containing the edges of the residual graph 
+      //which are in some shortest paths
+      {
+	typename FilterResGW::EdgeIt e;
+	for(filter_res_graph.first(e); filter_res_graph.valid(e); filter_res_graph.next(e)) {
+	  //if (dist.get(res_graph.head(e))==dist.get(res_graph.tail(e))+1) {
+	  typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)], res_graph_to_F[res_graph.head(e)]);
+	  original_edge.update();
+	  original_edge.set(f, e);
+	  residual_capacity.update();
+	  residual_capacity.set(f, res_graph.resCap(e));
+	  //} 
+	}
+      }
+
+      bool __augment=true;
+
+      while (__augment) {
+	__augment=false;
+	//computing blocking flow with dfs
+
+	DfsIterator< MG, typename MG::template NodeMap<bool> > dfs(F);
+	typename MG::template NodeMap<typename MG::Edge> pred(F);
+	pred.set(sF, INVALID);
+	//invalid iterators for sources
+
+	typename MG::template NodeMap<Num> free(F);
+
+	dfs.pushAndSetReached(sF);      
+	while (!dfs.finished()) {
+	  ++dfs;
+	  if (F.valid(/*typename MG::OutEdgeIt*/(dfs))) {
+	    if (dfs.isBNodeNewlyReached()) {
+	      typename MG::Node v=F.aNode(dfs);
+	      typename MG::Node w=F.bNode(dfs);
+	      pred.set(w, dfs);
+	      if (F.valid(pred[v])) {
+		free.set(w, std::min(free[v], residual_capacity[dfs]));
+	      } else {
+		free.set(w, residual_capacity[dfs]); 
+	      }
+	      if (w==tF) { 
+		__augment=true; 
+		_augment=true;
+		break; 
+	      }
+	      
+	    } else {
+	      F.erase(/*typename MG::OutEdgeIt*/(dfs));
+	    }
+	  } 
+	}
+
+	if (__augment) {
+	  typename MG::Node n=tF;
+	  Num augment_value=free[tF];
+	  while (F.valid(pred[n])) { 
+	    typename MG::Edge e=pred[n];
+	    res_graph.augment(original_edge[e], augment_value); 
+	    n=F.tail(e);
+	    if (residual_capacity[e]==augment_value) 
+	      F.erase(e); 
+	    else 
+	      residual_capacity.set(e, residual_capacity[e]-augment_value);
+	  }
+	}
+	
+      }
+            
+      return _augment;
+    }
+
+    template<typename MutableGraph> bool augmentOnBlockingFlow1() {      
+      typedef MutableGraph MG;
+      bool _augment=false;
+
+      ResGW res_graph(*g, *capacity, *flow);
+
+      //bfs for distances on the residual graph
+      //ReachedMap level(res_graph);
+      FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0);
+      BfsIterator<ResGW, ReachedMap> bfs(res_graph, level);
+      bfs.pushAndSetReached(s);
+      typename ResGW::template NodeMap<int> 
+	dist(res_graph); //filled up with 0's
+
+      //F will contain the physical copy of the residual graph
+      //with the set of edges which are on shortest paths
+      MG F;
+      typename ResGW::template NodeMap<typename MG::Node> 
+	res_graph_to_F(res_graph);
+      {
+	typename ResGW::NodeIt n;
+	for(res_graph.first(n); res_graph.valid(n); res_graph.next(n)) {
+	  res_graph_to_F.set(n, F.addNode());
+	}
+      }
+
+      typename MG::Node sF=res_graph_to_F[s];
+      typename MG::Node tF=res_graph_to_F[t];
+      typename MG::template EdgeMap<ResGWEdge> original_edge(F);
+      typename MG::template EdgeMap<Num> residual_capacity(F);
+
+      while ( !bfs.finished() ) { 
+	ResGWOutEdgeIt e=bfs;
+	if (res_graph.valid(e)) {
+	  if (bfs.isBNodeNewlyReached()) {
+	    dist.set(res_graph.head(e), dist[res_graph.tail(e)]+1);
+	    typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)], res_graph_to_F[res_graph.head(e)]);
+	    original_edge.update();
+	    original_edge.set(f, e);
+	    residual_capacity.update();
+	    residual_capacity.set(f, res_graph.resCap(e));
+	  } else {
+	    if (dist[res_graph.head(e)]==(dist[res_graph.tail(e)]+1)) {
+	      typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)], res_graph_to_F[res_graph.head(e)]);
+	      original_edge.update();
+	      original_edge.set(f, e);
+	      residual_capacity.update();
+	      residual_capacity.set(f, res_graph.resCap(e));
+	    }
+	  }
+	}
+	++bfs;
+      } //computing distances from s in the residual graph
+
+      bool __augment=true;
+
+      while (__augment) {
+	__augment=false;
+	//computing blocking flow with dfs
+	DfsIterator< MG, typename MG::template NodeMap<bool> > dfs(F);
+	typename MG::template NodeMap<typename MG::Edge> pred(F);
+	pred.set(sF, INVALID);
+	//invalid iterators for sources
+
+	typename MG::template NodeMap<Num> free(F);
+
+	dfs.pushAndSetReached(sF);      
+	while (!dfs.finished()) {
+	  ++dfs;
+	  if (F.valid(/*typename MG::OutEdgeIt*/(dfs))) {
+	    if (dfs.isBNodeNewlyReached()) {
+	      typename MG::Node v=F.aNode(dfs);
+	      typename MG::Node w=F.bNode(dfs);
+	      pred.set(w, dfs);
+	      if (F.valid(pred[v])) {
+		free.set(w, std::min(free[v], residual_capacity[dfs]));
+	      } else {
+		free.set(w, residual_capacity[dfs]); 
+	      }
+	      if (w==tF) { 
+		__augment=true; 
+		_augment=true;
+		break; 
+	      }
+	      
+	    } else {
+	      F.erase(/*typename MG::OutEdgeIt*/(dfs));
+	    }
+	  } 
+	}
+
+	if (__augment) {
+	  typename MG::Node n=tF;
+	  Num augment_value=free[tF];
+	  while (F.valid(pred[n])) { 
+	    typename MG::Edge e=pred[n];
+	    res_graph.augment(original_edge[e], augment_value); 
+	    n=F.tail(e);
+	    if (residual_capacity[e]==augment_value) 
+	      F.erase(e); 
+	    else 
+	      residual_capacity.set(e, residual_capacity[e]-augment_value);
+	  }
+	}
+	
+      }
+            
+      return _augment;
+    }
+
+    bool augmentOnBlockingFlow2() {
+      bool _augment=false;
+
+      ResGW res_graph(*g, *capacity, *flow);
+      
+      //ReachedMap level(res_graph);
+      FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0);
+      BfsIterator<ResGW, ReachedMap> bfs(res_graph, level);
+
+      bfs.pushAndSetReached(s);
+      DistanceMap<ResGW> dist(res_graph);
+      while ( !bfs.finished() ) { 
+ 	ResGWOutEdgeIt e=bfs;
+ 	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {
+ 	  dist.set(res_graph.head(e), dist[res_graph.tail(e)]+1);
+ 	}
+	++bfs;
+      } //computing distances from s in the residual graph
+
+      //Subgraph containing the edges on some shortest paths
+      ConstMap<typename ResGW::Node, bool> true_map(true);
+      typedef SubGraphWrapper<ResGW, ConstMap<typename ResGW::Node, bool>, 
+	DistanceMap<ResGW> > FilterResGW;
+      FilterResGW filter_res_graph(res_graph, true_map, dist);
+
+      //Subgraph, which is able to delete edges which are already 
+      //met by the dfs
+      typename FilterResGW::template NodeMap<typename FilterResGW::OutEdgeIt> 
+ 	first_out_edges(filter_res_graph);
+      typename FilterResGW::NodeIt v;
+      for(filter_res_graph.first(v); filter_res_graph.valid(v); 
+ 	  filter_res_graph.next(v)) 
+      {
+ 	typename FilterResGW::OutEdgeIt e;
+ 	filter_res_graph.first(e, v);
+ 	first_out_edges.set(v, e);
+      }
+      typedef ErasingFirstGraphWrapper<FilterResGW, typename FilterResGW::
+	template NodeMap<typename FilterResGW::OutEdgeIt> > ErasingResGW;
+      ErasingResGW erasing_res_graph(filter_res_graph, first_out_edges);
+
+      bool __augment=true;
+
+      while (__augment) {
+
+ 	__augment=false;
+  	//computing blocking flow with dfs
+  	DfsIterator< ErasingResGW, 
+	  typename ErasingResGW::template NodeMap<bool> > 
+  	  dfs(erasing_res_graph);
+ 	typename ErasingResGW::
+	  template NodeMap<typename ErasingResGW::OutEdgeIt> 
+	  pred(erasing_res_graph); 
+ 	pred.set(s, INVALID);
+  	//invalid iterators for sources
+
+  	typename ErasingResGW::template NodeMap<Num> 
+	  free1(erasing_res_graph);
+
+ 	dfs.pushAndSetReached(
+	  typename ErasingResGW::Node(
+	    typename FilterResGW::Node(
+	      typename ResGW::Node(s)
+	      )
+	    )
+	  );
+ 	while (!dfs.finished()) {
+ 	  ++dfs;
+ 	  if (erasing_res_graph.valid(
+ 		typename ErasingResGW::OutEdgeIt(dfs))) 
+ 	  { 
+  	    if (dfs.isBNodeNewlyReached()) {
+	  
+ 	      typename ErasingResGW::Node v=erasing_res_graph.aNode(dfs);
+ 	      typename ErasingResGW::Node w=erasing_res_graph.bNode(dfs);
+
+ 	      pred.set(w, /*typename ErasingResGW::OutEdgeIt*/(dfs));
+ 	      if (erasing_res_graph.valid(pred[v])) {
+ 		free1.set(w, std::min(free1[v], res_graph.resCap(
+				       typename ErasingResGW::OutEdgeIt(dfs))));
+ 	      } else {
+ 		free1.set(w, res_graph.resCap(
+			   typename ErasingResGW::OutEdgeIt(dfs))); 
+ 	      }
+	      
+ 	      if (w==t) { 
+ 		__augment=true; 
+ 		_augment=true;
+ 		break; 
+ 	      }
+ 	    } else {
+ 	      erasing_res_graph.erase(dfs);
+	    }
+	  }
+	}	
+
+  	if (__augment) {
+   	  typename ErasingResGW::Node n=typename FilterResGW::Node(typename ResGW::Node(t));
+// 	  typename ResGW::NodeMap<Num> a(res_graph);
+// 	  typename ResGW::Node b;
+// 	  Num j=a[b];
+// 	  typename FilterResGW::NodeMap<Num> a1(filter_res_graph);
+// 	  typename FilterResGW::Node b1;
+// 	  Num j1=a1[b1];
+// 	  typename ErasingResGW::NodeMap<Num> a2(erasing_res_graph);
+// 	  typename ErasingResGW::Node b2;
+// 	  Num j2=a2[b2];
+ 	  Num augment_value=free1[n];
+ 	  while (erasing_res_graph.valid(pred[n])) { 
+ 	    typename ErasingResGW::OutEdgeIt e=pred[n];
+ 	    res_graph.augment(e, augment_value);
+ 	    n=erasing_res_graph.tail(e);
+ 	    if (res_graph.resCap(e)==0)
+ 	      erasing_res_graph.erase(e);
+	}
+      }
+      
+      } //while (__augment) 
+            
+      return _augment;
+    }
+
+    void run() {
+      //int num_of_augmentations=0;
+      while (augmentOnShortestPath()) { 
+	//while (augmentOnBlockingFlow<MutableGraph>()) { 
+	//std::cout << ++num_of_augmentations << " ";
+	//std::cout<<std::endl;
+      } 
+    }
+
+    template<typename MutableGraph> void run() {
+      //int num_of_augmentations=0;
+      //while (augmentOnShortestPath()) { 
+	while (augmentOnBlockingFlow<MutableGraph>()) { 
+	//std::cout << ++num_of_augmentations << " ";
+	//std::cout<<std::endl;
+      } 
+    }
+
+    Num flowValue() { 
+      Num a=0;
+      OutEdgeIt e;
+      for(g->first(e, s); g->valid(e); g->next(e)) {
+	a+=(*flow)[e];
+      }
+      return a;
+    }
+
+  };
+
+
+//   template <typename Graph, typename Num, typename FlowMap, typename CapMap>
+//   class MaxMatching {
+//   public:
+//     typedef typename Graph::Node Node;
+//     typedef typename Graph::NodeIt NodeIt;
+//     typedef typename Graph::Edge Edge;
+//     typedef typename Graph::EdgeIt EdgeIt;
+//     typedef typename Graph::OutEdgeIt OutEdgeIt;
+//     typedef typename Graph::InEdgeIt InEdgeIt;
+
+//     typedef typename Graph::NodeMap<bool> SMap;
+//     typedef typename Graph::NodeMap<bool> TMap;
+//   private:
+//     const Graph* G;
+//     SMap* S;
+//     TMap* T;
+//     //Node s;
+//     //Node t;
+//     FlowMap* flow;
+//     const CapMap* capacity;
+//     typedef ResGraphWrapper<Graph, Num, FlowMap, CapMap > AugGraph;
+//     typedef typename AugGraph::OutEdgeIt AugOutEdgeIt;
+//     typedef typename AugGraph::Edge AugEdge;
+//     typename Graph::NodeMap<int> used; //0
+
+//   public:
+//     MaxMatching(const Graph& _G, SMap& _S, TMap& _T, FlowMap& _flow, const CapMap& _capacity) : 
+//       G(&_G), S(&_S), T(&_T), flow(&_flow), capacity(&_capacity), used(_G) { }
+//     bool augmentOnShortestPath() {
+//       AugGraph res_graph(*G, *flow, *capacity);
+//       bool _augment=false;
+      
+//       typedef typename AugGraph::NodeMap<bool> ReachedMap;
+//       BfsIterator< AugGraph, /*AugOutEdgeIt,*/ ReachedMap > bfs(res_graph);
+//       typename AugGraph::NodeMap<AugEdge> pred(res_graph); 
+//       for(NodeIt s=G->template first<NodeIt>(); G->valid(s); G->next(s)) {
+// 	if ((S->get(s)) && (used.get(s)<1) ) {
+// 	  //Num u=0;
+// 	  //for(OutEdgeIt e=G->template first<OutEdgeIt>(s); G->valid(e); G->next(e))
+// 	  //u+=flow->get(e);
+// 	  //if (u<1) {
+// 	    bfs.pushAndSetReached(s);
+// 	    pred.set(s, AugEdge(INVALID));
+// 	    //}
+// 	}
+//       }
+      
+//       typename AugGraph::NodeMap<Num> free(res_graph);
+	
+//       Node n;
+//       //searching for augmenting path
+//       while ( !bfs.finished() ) { 
+// 	AugOutEdgeIt e=bfs;
+// 	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {
+// 	  Node v=res_graph.tail(e);
+// 	  Node w=res_graph.head(e);
+// 	  pred.set(w, e);
+// 	  if (res_graph.valid(pred.get(v))) {
+// 	    free.set(w, std::min(free.get(v), res_graph.free(e)));
+// 	  } else {
+// 	    free.set(w, res_graph.free(e)); 
+// 	  }
+// 	  n=res_graph.head(e);
+// 	  if (T->get(n) && (used.get(n)<1) ) { 
+// 	    //Num u=0;
+// 	    //for(InEdgeIt f=G->template first<InEdgeIt>(n); G->valid(f); G->next(f))
+// 	    //u+=flow->get(f);
+// 	    //if (u<1) {
+// 	      _augment=true; 
+// 	      break; 
+// 	      //}
+// 	  }
+// 	}
+	
+// 	++bfs;
+//       } //end of searching augmenting path
+
+//       if (_augment) {
+// 	//Node n=t;
+// 	used.set(n, 1); //mind2 vegen jav
+// 	Num augment_value=free.get(n);
+// 	while (res_graph.valid(pred.get(n))) { 
+// 	  AugEdge e=pred.get(n);
+// 	  res_graph.augment(e, augment_value); 
+// 	  n=res_graph.tail(e);
+// 	}
+// 	used.set(n, 1); //mind2 vegen jav
+//       }
+
+//       return _augment;
+//     }
+
+// //     template<typename MutableGraph> bool augmentOnBlockingFlow() {      
+// //       bool _augment=false;
+
+// //       AugGraph res_graph(*G, *flow, *capacity);
+
+// //       typedef typename AugGraph::NodeMap<bool> ReachedMap;
+// //       BfsIterator4< AugGraph, AugOutEdgeIt, ReachedMap > bfs(res_graph);
+
+
+
+
+
+// //       //typename AugGraph::NodeMap<AugEdge> pred(res_graph); 
+// //       for(NodeIt s=G->template first<NodeIt>(); G->valid(s); G->next(s)) {
+// // 	if (S->get(s)) {
+// // 	  Num u=0;
+// // 	  for(OutEdgeIt e=G->template first<OutEdgeIt>(s); G->valid(e); G->next(e))
+// // 	    u+=flow->get(e);
+// // 	  if (u<1) {
+// // 	    bfs.pushAndSetReached(s);
+// // 	    //pred.set(s, AugEdge(INVALID));
+// // 	  }
+// // 	}
+// //       }
+
+
+
+
+// //       //bfs.pushAndSetReached(s);
+// //       typename AugGraph::NodeMap<int> dist(res_graph); //filled up with 0's
+// //       while ( !bfs.finished() ) { 
+// // 	AugOutEdgeIt e=bfs;
+// // 	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {
+// // 	  dist.set(res_graph.head(e), dist.get(res_graph.tail(e))+1);
+// // 	}
+	
+// // 	++bfs;
+// //       } //computing distances from s in the residual graph
+
+// //       MutableGraph F;
+// //       typename AugGraph::NodeMap<typename MutableGraph::Node> 
+// // 	res_graph_to_F(res_graph);
+// //       for(typename AugGraph::NodeIt n=res_graph.template first<typename AugGraph::NodeIt>(); res_graph.valid(n); res_graph.next(n)) {
+// // 	res_graph_to_F.set(n, F.addNode());
+// //       }
+      
+// //       typename MutableGraph::Node sF=res_graph_to_F.get(s);
+// //       typename MutableGraph::Node tF=res_graph_to_F.get(t);
+
+// //       typename MutableGraph::EdgeMap<AugEdge> original_edge(F);
+// //       typename MutableGraph::EdgeMap<Num> residual_capacity(F);
+
+// //       //Making F to the graph containing the edges of the residual graph 
+// //       //which are in some shortest paths
+// //       for(typename AugGraph::EdgeIt e=res_graph.template first<typename AugGraph::EdgeIt>(); res_graph.valid(e); res_graph.next(e)) {
+// // 	if (dist.get(res_graph.head(e))==dist.get(res_graph.tail(e))+1) {
+// // 	  typename MutableGraph::Edge f=F.addEdge(res_graph_to_F.get(res_graph.tail(e)), res_graph_to_F.get(res_graph.head(e)));
+// // 	  original_edge.update();
+// // 	  original_edge.set(f, e);
+// // 	  residual_capacity.update();
+// // 	  residual_capacity.set(f, res_graph.free(e));
+// // 	} 
+// //       }
+
+// //       bool __augment=true;
+
+// //       while (__augment) {
+// // 	__augment=false;
+// // 	//computing blocking flow with dfs
+// // 	typedef typename MutableGraph::NodeMap<bool> BlockingReachedMap;
+// // 	DfsIterator4< MutableGraph, typename MutableGraph::OutEdgeIt, BlockingReachedMap > dfs(F);
+// // 	typename MutableGraph::NodeMap<typename MutableGraph::Edge> pred(F);
+// // 	pred.set(sF, typename MutableGraph::Edge(INVALID));
+// // 	//invalid iterators for sources
+
+// // 	typename MutableGraph::NodeMap<Num> free(F);
+
+// // 	dfs.pushAndSetReached(sF);      
+// // 	while (!dfs.finished()) {
+// // 	  ++dfs;
+// // 	  if (F.valid(typename MutableGraph::OutEdgeIt(dfs))) {
+// // 	    if (dfs.isBNodeNewlyReached()) {
+// // 	      typename MutableGraph::Node v=F.aNode(dfs);
+// // 	      typename MutableGraph::Node w=F.bNode(dfs);
+// // 	      pred.set(w, dfs);
+// // 	      if (F.valid(pred.get(v))) {
+// // 		free.set(w, std::min(free.get(v), residual_capacity.get(dfs)));
+// // 	      } else {
+// // 		free.set(w, residual_capacity.get(dfs)); 
+// // 	      }
+// // 	      if (w==tF) { 
+// // 		__augment=true; 
+// // 		_augment=true;
+// // 		break; 
+// // 	      }
+	      
+// // 	    } else {
+// // 	      F.erase(typename MutableGraph::OutEdgeIt(dfs));
+// // 	    }
+// // 	  } 
+// // 	}
+
+// // 	if (__augment) {
+// // 	  typename MutableGraph::Node n=tF;
+// // 	  Num augment_value=free.get(tF);
+// // 	  while (F.valid(pred.get(n))) { 
+// // 	    typename MutableGraph::Edge e=pred.get(n);
+// // 	    res_graph.augment(original_edge.get(e), augment_value); 
+// // 	    n=F.tail(e);
+// // 	    if (residual_capacity.get(e)==augment_value) 
+// // 	      F.erase(e); 
+// // 	    else 
+// // 	      residual_capacity.set(e, residual_capacity.get(e)-augment_value);
+// // 	  }
+// // 	}
+	
+// //       }
+            
+// //       return _augment;
+// //     }
+//     bool augmentOnBlockingFlow2() {
+//       bool _augment=false;
+
+//       //typedef ErasingResGraphWrapper<Graph, Num, FlowMap, CapMap> EAugGraph;
+//       typedef FilterGraphWrapper< ErasingResGraphWrapper<Graph, Num, FlowMap, CapMap> > EAugGraph;
+//       typedef typename EAugGraph::OutEdgeIt EAugOutEdgeIt;
+//       typedef typename EAugGraph::Edge EAugEdge;
+
+//       EAugGraph res_graph(*G, *flow, *capacity);
+
+//       //typedef typename EAugGraph::NodeMap<bool> ReachedMap;
+//       BfsIterator< 
+// 	ErasingResGraphWrapper<Graph, Num, FlowMap, CapMap>, 
+// 	/*typename ErasingResGraphWrapper<Graph, Num, FlowMap, CapMap>::OutEdgeIt,*/ 
+// 	ErasingResGraphWrapper<Graph, Num, FlowMap, CapMap>::NodeMap<bool> > bfs(res_graph);
+
+
+//       //typename AugGraph::NodeMap<AugEdge> pred(res_graph); 
+//       for(NodeIt s=G->template first<NodeIt>(); G->valid(s); G->next(s)) {
+// 	if (S->get(s)) {
+// 	  Num u=0;
+// 	  for(OutEdgeIt e=G->template first<OutEdgeIt>(s); G->valid(e); G->next(e))
+// 	    u+=flow->get(e);
+// 	  if (u<1) {
+// 	    bfs.pushAndSetReached(s);
+// 	    //pred.set(s, AugEdge(INVALID));
+// 	  }
+// 	}
+//       }
+
+      
+//       //bfs.pushAndSetReached(s);
+
+//       typename ErasingResGraphWrapper<Graph, Num, FlowMap, CapMap>::
+// 	NodeMap<int>& dist=res_graph.dist;
+
+//       while ( !bfs.finished() ) {
+// 	typename ErasingResGraphWrapper<Graph, Num, FlowMap, CapMap>::OutEdgeIt e=bfs;
+// 	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {
+// 	  dist.set(res_graph.head(e), dist.get(res_graph.tail(e))+1);
+// 	}
+// 	++bfs;	
+//       } //computing distances from s in the residual graph
+
+//       bool __augment=true;
+
+//       while (__augment) {
+
+// 	__augment=false;
+// 	//computing blocking flow with dfs
+// 	typedef typename EAugGraph::NodeMap<bool> BlockingReachedMap;
+// 	DfsIterator< EAugGraph/*, EAugOutEdgeIt*/, BlockingReachedMap > 
+// 	  dfs(res_graph);
+// 	typename EAugGraph::NodeMap<EAugEdge> pred(res_graph, INVALID); 
+// 	//pred.set(s, EAugEdge(INVALID));
+// 	//invalid iterators for sources
+
+// 	typename EAugGraph::NodeMap<Num> free(res_graph);
+
+
+// 	//typename AugGraph::NodeMap<AugEdge> pred(res_graph); 
+//       for(NodeIt s=G->template first<NodeIt>(); G->valid(s); G->next(s)) {
+// 	if (S->get(s)) {
+// 	  Num u=0;
+// 	  for(OutEdgeIt e=G->template first<OutEdgeIt>(s); G->valid(e); G->next(e))
+// 	    u+=flow->get(e);
+// 	  if (u<1) {
+// 	    dfs.pushAndSetReached(s);
+// 	    //pred.set(s, AugEdge(INVALID));
+// 	  }
+// 	}
+//       }
+
+
+
+//       //dfs.pushAndSetReached(s);
+//       typename EAugGraph::Node n;
+// 	while (!dfs.finished()) {
+// 	  ++dfs;
+// 	  if (res_graph.valid(EAugOutEdgeIt(dfs))) { 
+// 	    if (dfs.isBNodeNewlyReached()) {
+	  
+// 	      typename EAugGraph::Node v=res_graph.aNode(dfs);
+// 	      typename EAugGraph::Node w=res_graph.bNode(dfs);
+
+// 	      pred.set(w, EAugOutEdgeIt(dfs));
+// 	      if (res_graph.valid(pred.get(v))) {
+// 		free.set(w, std::min(free.get(v), res_graph.free(dfs)));
+// 	      } else {
+// 		free.set(w, res_graph.free(dfs)); 
+// 	      }
+	     
+// 	      n=w;
+// 	      if (T->get(w)) {
+// 		Num u=0;
+// 		for(InEdgeIt f=G->template first<InEdgeIt>(n); G->valid(f); G->next(f))
+// 		  u+=flow->get(f);
+// 		if (u<1) {
+// 		  __augment=true; 
+// 		  _augment=true;
+// 		  break; 
+// 		}
+// 	      }
+// 	    } else {
+// 	      res_graph.erase(dfs);
+// 	    }
+// 	  } 
+
+// 	}
+
+// 	if (__augment) {
+// 	  // typename EAugGraph::Node n=t;
+// 	  Num augment_value=free.get(n);
+// 	  while (res_graph.valid(pred.get(n))) { 
+// 	    EAugEdge e=pred.get(n);
+// 	    res_graph.augment(e, augment_value);
+// 	    n=res_graph.tail(e);
+// 	    if (res_graph.free(e)==0)
+// 	      res_graph.erase(e);
+// 	  }
+// 	}
+      
+//       }
+            
+//       return _augment;
+//     }
+//     void run() {
+//       //int num_of_augmentations=0;
+//       while (augmentOnShortestPath()) { 
+// 	//while (augmentOnBlockingFlow<MutableGraph>()) { 
+// 	//std::cout << ++num_of_augmentations << " ";
+// 	//std::cout<<std::endl;
+//       } 
+//     }
+// //     template<typename MutableGraph> void run() {
+// //       //int num_of_augmentations=0;
+// //       //while (augmentOnShortestPath()) { 
+// // 	while (augmentOnBlockingFlow<MutableGraph>()) { 
+// // 	//std::cout << ++num_of_augmentations << " ";
+// // 	//std::cout<<std::endl;
+// //       } 
+// //     } 
+//     Num flowValue() { 
+//       Num a=0;
+//       EdgeIt e;
+//       for(G->/*getF*/first(e); G->valid(e); G->next(e)) {
+// 	a+=flow->get(e);
+//       }
+//       return a;
+//     }
+//   };
+
+
+
+
+
+  
+// //   template <typename Graph, typename Num, typename FlowMap, typename CapMap>
+// //   class MaxFlow2 {
+// //   public:
+// //     typedef typename Graph::Node Node;
+// //     typedef typename Graph::Edge Edge;
+// //     typedef typename Graph::EdgeIt EdgeIt;
+// //     typedef typename Graph::OutEdgeIt OutEdgeIt;
+// //     typedef typename Graph::InEdgeIt InEdgeIt;
+// //   private:
+// //     const Graph& G;
+// //     std::list<Node>& S;
+// //     std::list<Node>& T;
+// //     FlowMap& flow;
+// //     const CapMap& capacity;
+// //     typedef ResGraphWrapper<Graph, Num, FlowMap, CapMap > AugGraph;
+// //     typedef typename AugGraph::OutEdgeIt AugOutEdgeIt;
+// //     typedef typename AugGraph::Edge AugEdge;
+// //     typename Graph::NodeMap<bool> SMap;
+// //     typename Graph::NodeMap<bool> TMap;
+// //   public:
+// //     MaxFlow2(const Graph& _G, std::list<Node>& _S, std::list<Node>& _T, FlowMap& _flow, const CapMap& _capacity) : G(_G), S(_S), T(_T), flow(_flow), capacity(_capacity), SMap(_G), TMap(_G) { 
+// //       for(typename std::list<Node>::const_iterator i=S.begin(); 
+// // 	  i!=S.end(); ++i) { 
+// // 	SMap.set(*i, true); 
+// //       }
+// //       for (typename std::list<Node>::const_iterator i=T.begin(); 
+// // 	   i!=T.end(); ++i) { 
+// // 	TMap.set(*i, true); 
+// //       }
+// //     }
+// //     bool augment() {
+// //       AugGraph res_graph(G, flow, capacity);
+// //       bool _augment=false;
+// //       Node reached_t_node;
+      
+// //       typedef typename AugGraph::NodeMap<bool> ReachedMap;
+// //       BfsIterator4< AugGraph, AugOutEdgeIt, ReachedMap > bfs(res_graph);
+// //       for(typename std::list<Node>::const_iterator i=S.begin(); 
+// // 	  i!=S.end(); ++i) {
+// // 	bfs.pushAndSetReached(*i);
+// //       }
+// //       //bfs.pushAndSetReached(s);
+	
+// //       typename AugGraph::NodeMap<AugEdge> pred(res_graph); 
+// //       //filled up with invalid iterators
+      
+// //       typename AugGraph::NodeMap<Num> free(res_graph);
+	
+// //       //searching for augmenting path
+// //       while ( !bfs.finished() ) { 
+// // 	AugOutEdgeIt e=/*AugOutEdgeIt*/(bfs);
+// // 	if (e.valid() && bfs.isBNodeNewlyReached()) {
+// // 	  Node v=res_graph.tail(e);
+// // 	  Node w=res_graph.head(e);
+// // 	  pred.set(w, e);
+// // 	  if (pred.get(v).valid()) {
+// // 	    free.set(w, std::min(free.get(v), e.free()));
+// // 	  } else {
+// // 	    free.set(w, e.free()); 
+// // 	  }
+// // 	  if (TMap.get(res_graph.head(e))) { 
+// // 	    _augment=true; 
+// // 	    reached_t_node=res_graph.head(e);
+// // 	    break; 
+// // 	  }
+// // 	}
+	
+// // 	++bfs;
+// //       } //end of searching augmenting path
+
+// //       if (_augment) {
+// // 	Node n=reached_t_node;
+// // 	Num augment_value=free.get(reached_t_node);
+// // 	while (pred.get(n).valid()) { 
+// // 	  AugEdge e=pred.get(n);
+// // 	  e.augment(augment_value); 
+// // 	  n=res_graph.tail(e);
+// // 	}
+// //       }
+
+// //       return _augment;
+// //     }
+// //     void run() {
+// //       while (augment()) { } 
+// //     }
+// //     Num flowValue() { 
+// //       Num a=0;
+// //       for(typename std::list<Node>::const_iterator i=S.begin(); 
+// // 	  i!=S.end(); ++i) { 
+// // 	for(OutEdgeIt e=G.template first<OutEdgeIt>(*i); e.valid(); ++e) {
+// // 	  a+=flow.get(e);
+// // 	}
+// // 	for(InEdgeIt e=G.template first<InEdgeIt>(*i); e.valid(); ++e) {
+// // 	  a-=flow.get(e);
+// // 	}
+// //       }
+// //       return a;
+// //     }
+// //   };
+
+
+} // namespace hugo
+
+#endif //HUGO_EDMONDS_KARP_H