lemon-0.x: src/work/marci/edmonds

     1 // -*- c++ -*-

     2 #ifndef HUGO_EDMONDS_KARP_H

     3 #define HUGO_EDMONDS_KARP_H

     5 #include <algorithm>

     6 #include <list>

     7 #include <iterator>

     9 #include <bfs_iterator.h>

    10 #include <invalid.h>

    11 #include <graph_wrapper.h>

    12 #include <maps.h>

    14 namespace hugo {

    16 //   template<typename Graph, typename Number, typename CapacityMap, typename FlowMap>

    17 //   class ResGraph {

    18 //   public:

    19 //     typedef typename Graph::Node Node;

    20 //     typedef typename Graph::NodeIt NodeIt;

    21 //   private:

    22 //     typedef typename Graph::SymEdgeIt OldSymEdgeIt;

    23 //     const Graph& G;

    24 //     const CapacityMap& capacity;

    25 //     FlowMap& flow;

    26 //   public:

    27 //     ResGraph(const Graph& _G, const CapacityMap& _capacity, FlowMap& _flow) :

    28 //       G(_G), capacity(_capacity), flow(_flow) { }

    30 //     class Edge;

    31 //     class OutEdgeIt;

    32 //     friend class Edge;

    33 //     friend class OutEdgeIt;

    35 //     class Edge {

    36 //       friend class ResGraph<Graph, Number, FlowMap, CapacityMap>;

    37 //     protected:

    38 //       const ResGraph<Graph, Number, FlowMap, CapacityMap>* resG;

    39 //       OldSymEdgeIt sym;

    40 //     public:

    41 //       Edge() { }

    42 //       //Edge(const Edge& e) : resG(e.resG), sym(e.sym) { }

    43 //       Number free() const {

    44 // 	if (resG->G.aNode(sym)==resG->G.tail(sym)) {

    45 // 	  return (resG->capacity.get(sym)-resG->flow.get(sym));

    46 // 	} else {

    47 // 	  return (resG->flow.get(sym));

    48 // 	}

    49 //       }

    50 //       bool valid() const { return sym.valid(); }

    51 //       void augment(Number a) const {

    52 // 	if (resG->G.aNode(sym)==resG->G.tail(sym)) {

    53 // 	  resG->flow.set(sym, resG->flow.get(sym)+a);

    54 // 	  //resG->flow[sym]+=a;

    55 // 	} else {

    56 // 	  resG->flow.set(sym, resG->flow.get(sym)-a);

    57 // 	  //resG->flow[sym]-=a;

    58 // 	}

    59 //       }

    60 //     };

    62 //     class OutEdgeIt : public Edge {

    63 //       friend class ResGraph<Graph, Number, FlowMap, CapacityMap>;

    64 //     public:

    65 //       OutEdgeIt() { }

    66 //       //OutEdgeIt(const OutEdgeIt& e) { resG=e.resG; sym=e.sym; }

    67 //     private:

    68 //       OutEdgeIt(const ResGraph<Graph, Number, FlowMap, CapacityMap>& _resG, Node v) {

    69 //       	resG=&_resG;

    70 // 	sym=resG->G.template first<OldSymEdgeIt>(v);

    71 // 	while( sym.valid() && !(free()>0) ) { ++sym; }

    72 //       }

    73 //     public:

    74 //       OutEdgeIt& operator++() {

    75 // 	++sym;

    76 // 	while( sym.valid() && !(free()>0) ) { ++sym; }

    77 // 	return *this;

    78 //       }

    79 //     };

    81 //     void /*getF*/first(OutEdgeIt& e, Node v) const {

    82 //       e=OutEdgeIt(*this, v);

    83 //     }

    84 //     void /*getF*/first(NodeIt& v) const { G./*getF*/first(v); }

    86 //     template< typename It >

    87 //     It first() const {

    88 //       It e;

    89 //       /*getF*/first(e);

    90 //       return e;

    91 //     }

    93 //     template< typename It >

    94 //     It first(Node v) const {

    95 //       It e;

    96 //       /*getF*/first(e, v);

    97 //       return e;

    98 //     }

   100 //     Node tail(Edge e) const { return G.aNode(e.sym); }

   101 //     Node head(Edge e) const { return G.bNode(e.sym); }

   103 //     Node aNode(OutEdgeIt e) const { return G.aNode(e.sym); }

   104 //     Node bNode(OutEdgeIt e) const { return G.bNode(e.sym); }

   106 //     int id(Node v) const { return G.id(v); }

   108 //     template <typename S>

   109 //     class NodeMap {

   110 //       typename Graph::NodeMap<S> node_map;

   111 //     public:

   112 //       NodeMap(const ResGraph<Graph, Number, FlowMap, CapacityMap>& _G) : node_map(_G.G) { }

   113 //       NodeMap(const ResGraph<Graph, Number, FlowMap, CapacityMap>& _G, S a) : node_map(_G.G, a) { }

   114 //       void set(Node nit, S a) { node_map.set(nit, a); }

   115 //       S get(Node nit) const { return node_map.get(nit); }

   116 //       S& operator[](Node nit) { return node_map[nit]; }

   117 //       const S& operator[](Node nit) const { return node_map[nit]; }

   118 //     };

   120 //   };

   123 //   template<typename Graph, typename Number, typename FlowMap, typename CapacityMap>

   124 //   class ResGraph2 {

   125 //   public:

   126 //     typedef typename Graph::Node Node;

   127 //     typedef typename Graph::NodeIt NodeIt;

   128 //   private:

   129 //     //typedef typename Graph::SymEdgeIt OldSymEdgeIt;

   130 //     typedef typename Graph::OutEdgeIt OldOutEdgeIt;

   131 //     typedef typename Graph::InEdgeIt OldInEdgeIt;

   133 //     const Graph& G;

   134 //     FlowMap& flow;

   135 //     const CapacityMap& capacity;

   136 //   public:

   137 //     ResGraph2(const Graph& _G, FlowMap& _flow,

   138 // 	     const CapacityMap& _capacity) :

   139 //       G(_G), flow(_flow), capacity(_capacity) { }

   141 //     class Edge;

   142 //     class OutEdgeIt;

   143 //     friend class Edge;

   144 //     friend class OutEdgeIt;

   146 //     class Edge {

   147 //       friend class ResGraph2<Graph, Number, FlowMap, CapacityMap>;

   148 //     protected:

   149 //       const ResGraph2<Graph, Number, FlowMap, CapacityMap>* resG;

   150 //       //OldSymEdgeIt sym;

   151 //       OldOutEdgeIt out;

   152 //       OldInEdgeIt in;

   153 //       bool out_or_in; //true, iff out

   154 //     public:

   155 //       Edge() : out_or_in(true) { }

   156 //       Number free() const {

   157 // 	if (out_or_in) {

   158 // 	  return (resG->capacity.get(out)-resG->flow.get(out));

   159 // 	} else {

   160 // 	  return (resG->flow.get(in));

   161 // 	}

   162 //       }

   163 //       bool valid() const {

   164 // 	return out_or_in && out.valid() || in.valid(); }

   165 //       void augment(Number a) const {

   166 // 	if (out_or_in) {

   167 // 	  resG->flow.set(out, resG->flow.get(out)+a);

   168 // 	} else {

   169 // 	  resG->flow.set(in, resG->flow.get(in)-a);

   170 // 	}

   171 //       }

   172 //     };

   174 //     class OutEdgeIt : public Edge {

   175 //       friend class ResGraph2<Graph, Number, FlowMap, CapacityMap>;

   176 //     public:

   177 //       OutEdgeIt() { }

   178 //     private:

   179 //       OutEdgeIt(const ResGraph2<Graph, Number, FlowMap, CapacityMap>& _resG, Node v) {

   180 //       	resG=&_resG;

   181 // 	out=resG->G.template first<OldOutEdgeIt>(v);

   182 // 	while( out.valid() && !(free()>0) ) { ++out; }

   183 // 	if (!out.valid()) {

   184 // 	  out_or_in=0;

   185 // 	  in=resG->G.template first<OldInEdgeIt>(v);

   186 // 	  while( in.valid() && !(free()>0) ) { ++in; }

   187 // 	}

   188 //       }

   189 //     public:

   190 //       OutEdgeIt& operator++() {

   191 // 	if (out_or_in) {

   192 // 	  Node v=resG->G.aNode(out);

   193 // 	  ++out;

   194 // 	  while( out.valid() && !(free()>0) ) { ++out; }

   195 // 	  if (!out.valid()) {

   196 // 	    out_or_in=0;

   197 // 	    in=resG->G.template first<OldInEdgeIt>(v);

   198 // 	    while( in.valid() && !(free()>0) ) { ++in; }

   199 // 	  }

   200 // 	} else {

   201 // 	  ++in;

   202 // 	  while( in.valid() && !(free()>0) ) { ++in; }

   203 // 	}

   204 // 	return *this;

   205 //       }

   206 //     };

   208 //     void /*getF*/first(OutEdgeIt& e, Node v) const {

   209 //       e=OutEdgeIt(*this, v);

   210 //     }

   211 //     void /*getF*/first(NodeIt& v) const { G./*getF*/first(v); }

   213 //     template< typename It >

   214 //     It first() const {

   215 //       It e;

   216 //       /*getF*/first(e);

   217 //       return e;

   218 //     }

   220 //     template< typename It >

   221 //     It first(Node v) const {

   222 //       It e;

   223 //       /*getF*/first(e, v);

   224 //       return e;

   225 //     }

   227 //     Node tail(Edge e) const {

   228 //       return ((e.out_or_in) ? G.aNode(e.out) : G.aNode(e.in)); }

   229 //     Node head(Edge e) const {

   230 //       return ((e.out_or_in) ? G.bNode(e.out) : G.bNode(e.in)); }

   232 //     Node aNode(OutEdgeIt e) const {

   233 //       return ((e.out_or_in) ? G.aNode(e.out) : G.aNode(e.in)); }

   234 //     Node bNode(OutEdgeIt e) const {

   235 //       return ((e.out_or_in) ? G.bNode(e.out) : G.bNode(e.in)); }

   237 //     int id(Node v) const { return G.id(v); }

   239 //     template <typename S>

   240 //     class NodeMap {

   241 //       typename Graph::NodeMap<S> node_map;

   242 //     public:

   243 //       NodeMap(const ResGraph2<Graph, Number, FlowMap, CapacityMap>& _G) : node_map(_G.G) { }

   244 //       NodeMap(const ResGraph2<Graph, Number, FlowMap, CapacityMap>& _G, S a) : node_map(_G.G, a) { }

   245 //       void set(Node nit, S a) { node_map.set(nit, a); }

   246 //       S get(Node nit) const { return node_map.get(nit); }

   247 //     };

   248 //   };

   251   template <typename Graph, typename Number,

   252 	    typename CapacityMap, typename FlowMap>

   253   class MaxFlow {

   254   protected:

   255     typedef typename Graph::Node Node;

   256     typedef typename Graph::Edge Edge;

   257     typedef typename Graph::EdgeIt EdgeIt;

   258     typedef typename Graph::OutEdgeIt OutEdgeIt;

   259     typedef typename Graph::InEdgeIt InEdgeIt;

   260     const Graph* g;

   261     Node s;

   262     Node t;

   263     const CapacityMap* capacity;

   264     FlowMap* flow;

   265     typedef ResGraphWrapper<const Graph, Number, CapacityMap, FlowMap> ResGW;

   266     typedef typename ResGW::OutEdgeIt ResGWOutEdgeIt;

   267     typedef typename ResGW::Edge ResGWEdge;

   268   public:

   270     MaxFlow(const Graph& _g, Node _s, Node _t, const CapacityMap& _capacity,

   271 	    FlowMap& _flow) :

   272       g(&_g), s(_s), t(_t), capacity(&_capacity), flow(&_flow) { }

   274     bool augmentOnShortestPath() {

   275       ResGW res_graph(*g, *capacity, *flow);

   276       bool _augment=false;

   278       BfsIterator< ResGW, typename ResGW::NodeMap<bool> > bfs(res_graph);

   279       bfs.pushAndSetReached(s);

   281       typename ResGW::NodeMap<ResGWEdge> pred(res_graph);

   282       pred.set(s, INVALID);

   284       typename ResGW::NodeMap<Number> free(res_graph);

   286       //searching for augmenting path

   287       while ( !bfs.finished() ) {

   288 	ResGWOutEdgeIt e=bfs;

   289 	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {

   290 	  Node v=res_graph.tail(e);

   291 	  Node w=res_graph.head(e);

   292 	  pred.set(w, e);

   293 	  if (res_graph.valid(pred[v])) {

   294 	    free.set(w, std::min(free[v], res_graph.resCap(e)));

   295 	  } else {

   296 	    free.set(w, res_graph.resCap(e));

   297 	  }

   298 	  if (res_graph.head(e)==t) { _augment=true; break; }

   299 	}

   301 	++bfs;

   302       } //end of searching augmenting path

   304       if (_augment) {

   305 	Node n=t;

   306 	Number augment_value=free[t];

   307 	while (res_graph.valid(pred[n])) {

   308 	  ResGWEdge e=pred[n];

   309 	  res_graph.augment(e, augment_value);

   310 	  n=res_graph.tail(e);

   311 	}

   312       }

   314       return _augment;

   315     }

   317     template<typename MapGraphWrapper>

   318     class DistanceMap {

   319     protected:

   320       const MapGraphWrapper* g;

   321       typename MapGraphWrapper::NodeMap<int> dist;

   322     public:

   323       DistanceMap(MapGraphWrapper& _g) : g(&_g), dist(*g, g->nodeNum()) { }

   324       void set(const typename MapGraphWrapper::Node& n, int a) { dist[n]=a; }

   325       int operator[](const typename MapGraphWrapper::Node& n)

   326 	{ return dist[n]; }

   327 //       int get(const typename MapGraphWrapper::Node& n) const {

   328 // 	return dist[n]; }

   329 //       bool get(const typename MapGraphWrapper::Edge& e) const {

   330 // 	return (dist.get(g->tail(e))<dist.get(g->head(e))); }

   331       bool operator[](const typename MapGraphWrapper::Edge& e) const {

   332 	return (dist[g->tail(e)]<dist[g->head(e)]);

   333       }

   334     };

   336     template<typename MutableGraph> bool augmentOnBlockingFlow() {

   337       typedef MutableGraph MG;

   338       bool _augment=false;

   340       ResGW res_graph(*g, *capacity, *flow);

   342       BfsIterator< ResGW, typename ResGW::NodeMap<bool> > bfs(res_graph);

   344       bfs.pushAndSetReached(s);

   345       //typename ResGW::NodeMap<int> dist(res_graph); //filled up with 0's

   346       DistanceMap<ResGW> dist(res_graph);

   347       while ( !bfs.finished() ) {

   348 	ResGWOutEdgeIt e=bfs;

   349 	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {

   350 	  dist.set(res_graph.head(e), dist[res_graph.tail(e)]+1);

   351 	}

   352 	++bfs;

   353       } //computing distances from s in the residual graph

   355       MG F;

   356       ConstMap<typename ResGW::Node, bool> true_map(true);

   357       typedef SubGraphWrapper<ResGW, ConstMap<typename ResGW::Node, bool>,

   358 	DistanceMap<ResGW> > FilterResGW;

   359       FilterResGW filter_res_graph(res_graph, true_map, dist);

   360       typename ResGW::NodeMap<typename MG::Node> res_graph_to_F(res_graph);

   361       {

   362 	typename ResGW::NodeIt n;

   363 	for(res_graph.first(n); res_graph.valid(n); res_graph.next(n)) {

   364 	  res_graph_to_F.set(n, F.addNode());

   365 	}

   366       }

   368       typename MG::Node sF=res_graph_to_F[s];

   369       typename MG::Node tF=res_graph_to_F[t];

   370       typename MG::EdgeMap<ResGWEdge> original_edge(F);

   371       typename MG::EdgeMap<Number> residual_capacity(F);

   373       //Making F to the graph containing the edges of the residual graph

   374       //which are in some shortest paths

   375       {

   376 	typename FilterResGW::EdgeIt e;

   377 	for(filter_res_graph.first(e); filter_res_graph.valid(e); filter_res_graph.next(e)) {

   378 	  //if (dist.get(res_graph.head(e))==dist.get(res_graph.tail(e))+1) {

   379 	  typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)], res_graph_to_F[res_graph.head(e)]);

   380 	  original_edge.update();

   381 	  original_edge.set(f, e);

   382 	  residual_capacity.update();

   383 	  residual_capacity.set(f, res_graph.resCap(e));

   384 	  //}

   385 	}

   386       }

   388       bool __augment=true;

   390       while (__augment) {

   391 	__augment=false;

   392 	//computing blocking flow with dfs

   394 	DfsIterator< MG, typename MG::NodeMap<bool> > dfs(F);

   395 	typename MG::NodeMap<typename MG::Edge> pred(F);

   396 	pred.set(sF, INVALID);

   397 	//invalid iterators for sources

   399 	typename MG::NodeMap<Number> free(F);

   401 	dfs.pushAndSetReached(sF);

   402 	while (!dfs.finished()) {

   403 	  ++dfs;

   404 	  if (F.valid(/*typename MG::OutEdgeIt*/(dfs))) {

   405 	    if (dfs.isBNodeNewlyReached()) {

   406 	      typename MG::Node v=F.aNode(dfs);

   407 	      typename MG::Node w=F.bNode(dfs);

   408 	      pred.set(w, dfs);

   409 	      if (F.valid(pred[v])) {

   410 		free.set(w, std::min(free[v], residual_capacity[dfs]));

   411 	      } else {

   412 		free.set(w, residual_capacity[dfs]);

   413 	      }

   414 	      if (w==tF) {

   415 		__augment=true;

   416 		_augment=true;

   417 		break;

   418 	      }

   420 	    } else {

   421 	      F.erase(/*typename MG::OutEdgeIt*/(dfs));

   422 	    }

   423 	  }

   424 	}

   426 	if (__augment) {

   427 	  typename MG::Node n=tF;

   428 	  Number augment_value=free[tF];

   429 	  while (F.valid(pred[n])) {

   430 	    typename MG::Edge e=pred[n];

   431 	    res_graph.augment(original_edge[e], augment_value);

   432 	    n=F.tail(e);

   433 	    if (residual_capacity[e]==augment_value)

   434 	      F.erase(e);

   435 	    else

   436 	      residual_capacity.set(e, residual_capacity[e]-augment_value);

   437 	  }

   438 	}

   440       }

   442       return _augment;

   443     }

   445     template<typename MutableGraph> bool augmentOnBlockingFlow1() {

   446       typedef MutableGraph MG;

   447       bool _augment=false;

   449       ResGW res_graph(*g, *capacity, *flow);

   451       //bfs for distances on the residual graph

   452       BfsIterator< ResGW, typename ResGW::NodeMap<bool> > bfs(res_graph);

   453       bfs.pushAndSetReached(s);

   454       typename ResGW::NodeMap<int> dist(res_graph); //filled up with 0's

   456       //F will contain the physical copy of the residual graph

   457       //with the set of edges which are on shortest paths

   458       MG F;

   459       typename ResGW::NodeMap<typename MG::Node> res_graph_to_F(res_graph);

   460       {

   461 	typename ResGW::NodeIt n;

   462 	for(res_graph.first(n); res_graph.valid(n); res_graph.next(n)) {

   463 	  res_graph_to_F.set(n, F.addNode());

   464 	}

   465       }

   467       typename MG::Node sF=res_graph_to_F[s];

   468       typename MG::Node tF=res_graph_to_F[t];

   469       typename MG::EdgeMap<ResGWEdge> original_edge(F);

   470       typename MG::EdgeMap<Number> residual_capacity(F);

   472       while ( !bfs.finished() ) {

   473 	ResGWOutEdgeIt e=bfs;

   474 	if (res_graph.valid(e)) {

   475 	  if (bfs.isBNodeNewlyReached()) {

   476 	    dist.set(res_graph.head(e), dist[res_graph.tail(e)]+1);

   477 	    typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)], res_graph_to_F[res_graph.head(e)]);

   478 	    original_edge.update();

   479 	    original_edge.set(f, e);

   480 	    residual_capacity.update();

   481 	    residual_capacity.set(f, res_graph.resCap(e));

   482 	  } else {

   483 	    if (dist[res_graph.head(e)]==(dist[res_graph.tail(e)]+1)) {

   484 	      typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)], res_graph_to_F[res_graph.head(e)]);

   485 	      original_edge.update();

   486 	      original_edge.set(f, e);

   487 	      residual_capacity.update();

   488 	      residual_capacity.set(f, res_graph.resCap(e));

   489 	    }

   490 	  }

   491 	}

   492 	++bfs;

   493       } //computing distances from s in the residual graph

   495       bool __augment=true;

   497       while (__augment) {

   498 	__augment=false;

   499 	//computing blocking flow with dfs

   500 	DfsIterator< MG, typename MG::NodeMap<bool> > dfs(F);

   501 	typename MG::NodeMap<typename MG::Edge> pred(F);

   502 	pred.set(sF, INVALID);

   503 	//invalid iterators for sources

   505 	typename MG::NodeMap<Number> free(F);

   507 	dfs.pushAndSetReached(sF);

   508 	while (!dfs.finished()) {

   509 	  ++dfs;

   510 	  if (F.valid(/*typename MG::OutEdgeIt*/(dfs))) {

   511 	    if (dfs.isBNodeNewlyReached()) {

   512 	      typename MG::Node v=F.aNode(dfs);

   513 	      typename MG::Node w=F.bNode(dfs);

   514 	      pred.set(w, dfs);

   515 	      if (F.valid(pred[v])) {

   516 		free.set(w, std::min(free[v], residual_capacity[dfs]));

   517 	      } else {

   518 		free.set(w, residual_capacity[dfs]);

   519 	      }

   520 	      if (w==tF) {

   521 		__augment=true;

   522 		_augment=true;

   523 		break;

   524 	      }

   526 	    } else {

   527 	      F.erase(/*typename MG::OutEdgeIt*/(dfs));

   528 	    }

   529 	  }

   530 	}

   532 	if (__augment) {

   533 	  typename MG::Node n=tF;

   534 	  Number augment_value=free[tF];

   535 	  while (F.valid(pred[n])) {

   536 	    typename MG::Edge e=pred[n];

   537 	    res_graph.augment(original_edge[e], augment_value);

   538 	    n=F.tail(e);

   539 	    if (residual_capacity[e]==augment_value)

   540 	      F.erase(e);

   541 	    else

   542 	      residual_capacity.set(e, residual_capacity[e]-augment_value);

   543 	  }

   544 	}

   546       }

   548       return _augment;

   549     }

   551     bool augmentOnBlockingFlow2() {

   552       bool _augment=false;

   554       ResGW res_graph(*g, *capacity, *flow);

   556       BfsIterator< ResGW, typename ResGW::NodeMap<bool> > bfs(res_graph);

   558       bfs.pushAndSetReached(s);

   559       DistanceMap<ResGW> dist(res_graph);

   560       while ( !bfs.finished() ) {

   561  	ResGWOutEdgeIt e=bfs;

   562  	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {

   563  	  dist.set(res_graph.head(e), dist[res_graph.tail(e)]+1);

   564  	}

   565 	++bfs;

   566       } //computing distances from s in the residual graph

   568       //Subgraph containing the edges on some shortest paths

   569       ConstMap<typename ResGW::Node, bool> true_map(true);

   570       typedef SubGraphWrapper<ResGW, ConstMap<typename ResGW::Node, bool>,

   571 	DistanceMap<ResGW> > FilterResGW;

   572       FilterResGW filter_res_graph(res_graph, true_map, dist);

   574       //Subgraph, which is able to delete edges which are already

   575       //met by the dfs

   576       typename FilterResGW::NodeMap<typename FilterResGW::OutEdgeIt>

   577  	first_out_edges(filter_res_graph);

   578       typename FilterResGW::NodeIt v;

   579       for(filter_res_graph.first(v); filter_res_graph.valid(v);

   580  	  filter_res_graph.next(v))

   581       {

   582  	typename FilterResGW::OutEdgeIt e;

   583  	filter_res_graph.first(e, v);

   584  	first_out_edges.set(v, e);

   585       }

   586       typedef ErasingFirstGraphWrapper<FilterResGW, typename FilterResGW::

   587 	NodeMap<typename FilterResGW::OutEdgeIt> > ErasingResGW;

   588       ErasingResGW erasing_res_graph(filter_res_graph, first_out_edges);

   590       bool __augment=true;

   592       while (__augment) {

   594  	__augment=false;

   595   	//computing blocking flow with dfs

   596   	DfsIterator< ErasingResGW, typename ErasingResGW::NodeMap<bool> >

   597   	  dfs(erasing_res_graph);

   598  	typename ErasingResGW::NodeMap<typename ErasingResGW::OutEdgeIt>

   599  	  pred(erasing_res_graph);

   600  	pred.set(s, INVALID);

   601   	//invalid iterators for sources

   603   	typename ErasingResGW::NodeMap<Number> free1(erasing_res_graph);

   605  	dfs.pushAndSetReached(

   606 	  typename ErasingResGW::Node(

   607 	    typename FilterResGW::Node(

   608 	      typename ResGW::Node(s)

   609 	      )

   610 	    )

   611 	  );

   612  	while (!dfs.finished()) {

   613  	  ++dfs;

   614  	  if (erasing_res_graph.valid(

   615  		typename ErasingResGW::OutEdgeIt(dfs)))

   616  	  {

   617   	    if (dfs.isBNodeNewlyReached()) {

   619  	      typename ErasingResGW::Node v=erasing_res_graph.aNode(dfs);

   620  	      typename ErasingResGW::Node w=erasing_res_graph.bNode(dfs);

   622  	      pred.set(w, /*typename ErasingResGW::OutEdgeIt*/(dfs));

   623  	      if (erasing_res_graph.valid(pred[v])) {

   624  		free1.set(w, std::min(free1[v], res_graph.resCap(

   625 				       typename ErasingResGW::OutEdgeIt(dfs))));

   626  	      } else {

   627  		free1.set(w, res_graph.resCap(

   628 			   typename ErasingResGW::OutEdgeIt(dfs)));

   629  	      }

   631  	      if (w==t) {

   632  		__augment=true;

   633  		_augment=true;

   634  		break;

   635  	      }

   636  	    } else {

   637  	      erasing_res_graph.erase(dfs);

   638 	    }

   639 	  }

   640 	}

   642   	if (__augment) {

   643    	  typename ErasingResGW::Node n=typename FilterResGW::Node(typename ResGW::Node(t));

   644 // 	  typename ResGW::NodeMap<Number> a(res_graph);

   645 // 	  typename ResGW::Node b;

   646 // 	  Number j=a[b];

   647 // 	  typename FilterResGW::NodeMap<Number> a1(filter_res_graph);

   648 // 	  typename FilterResGW::Node b1;

   649 // 	  Number j1=a1[b1];

   650 // 	  typename ErasingResGW::NodeMap<Number> a2(erasing_res_graph);

   651 // 	  typename ErasingResGW::Node b2;

   652 // 	  Number j2=a2[b2];

   653  	  Number augment_value=free1[n];

   654  	  while (erasing_res_graph.valid(pred[n])) {

   655  	    typename ErasingResGW::OutEdgeIt e=pred[n];

   656  	    res_graph.augment(e, augment_value);

   657  	    n=erasing_res_graph.tail(e);

   658  	    if (res_graph.resCap(e)==0)

   659  	      erasing_res_graph.erase(e);

   660 	}

   661       }

   663       } //while (__augment)

   665       return _augment;

   666     }

   668     void run() {

   669       //int num_of_augmentations=0;

   670       while (augmentOnShortestPath()) {

   671 	//while (augmentOnBlockingFlow<MutableGraph>()) {

   672 	//std::cout << ++num_of_augmentations << " ";

   673 	//std::cout<<std::endl;

   674       }

   675     }

   677     template<typename MutableGraph> void run() {

   678       //int num_of_augmentations=0;

   679       //while (augmentOnShortestPath()) {

   680 	while (augmentOnBlockingFlow<MutableGraph>()) {

   681 	//std::cout << ++num_of_augmentations << " ";

   682 	//std::cout<<std::endl;

   683       }

   684     }

   686     Number flowValue() {

   687       Number a=0;

   688       OutEdgeIt e;

   689       for(g->first(e, s); g->valid(e); g->next(e)) {

   690 	a+=(*flow)[e];

   691       }

   692       return a;

   693     }

   695   };

   698 //   template <typename Graph, typename Number, typename FlowMap, typename CapacityMap>

   699 //   class MaxMatching {

   700 //   public:

   701 //     typedef typename Graph::Node Node;

   702 //     typedef typename Graph::NodeIt NodeIt;

   703 //     typedef typename Graph::Edge Edge;

   704 //     typedef typename Graph::EdgeIt EdgeIt;

   705 //     typedef typename Graph::OutEdgeIt OutEdgeIt;

   706 //     typedef typename Graph::InEdgeIt InEdgeIt;

   708 //     typedef typename Graph::NodeMap<bool> SMap;

   709 //     typedef typename Graph::NodeMap<bool> TMap;

   710 //   private:

   711 //     const Graph* G;

   712 //     SMap* S;

   713 //     TMap* T;

   714 //     //Node s;

   715 //     //Node t;

   716 //     FlowMap* flow;

   717 //     const CapacityMap* capacity;

   718 //     typedef ResGraphWrapper<Graph, Number, FlowMap, CapacityMap > AugGraph;

   719 //     typedef typename AugGraph::OutEdgeIt AugOutEdgeIt;

   720 //     typedef typename AugGraph::Edge AugEdge;

   721 //     typename Graph::NodeMap<int> used; //0

   723 //   public:

   724 //     MaxMatching(const Graph& _G, SMap& _S, TMap& _T, FlowMap& _flow, const CapacityMap& _capacity) :

   725 //       G(&_G), S(&_S), T(&_T), flow(&_flow), capacity(&_capacity), used(_G) { }

   726 //     bool augmentOnShortestPath() {

   727 //       AugGraph res_graph(*G, *flow, *capacity);

   728 //       bool _augment=false;

   730 //       typedef typename AugGraph::NodeMap<bool> ReachedMap;

   731 //       BfsIterator< AugGraph, /*AugOutEdgeIt,*/ ReachedMap > bfs(res_graph);

   732 //       typename AugGraph::NodeMap<AugEdge> pred(res_graph);

   733 //       for(NodeIt s=G->template first<NodeIt>(); G->valid(s); G->next(s)) {

   734 // 	if ((S->get(s)) && (used.get(s)<1) ) {

   735 // 	  //Number u=0;

   736 // 	  //for(OutEdgeIt e=G->template first<OutEdgeIt>(s); G->valid(e); G->next(e))

   737 // 	  //u+=flow->get(e);

   738 // 	  //if (u<1) {

   739 // 	    bfs.pushAndSetReached(s);

   740 // 	    pred.set(s, AugEdge(INVALID));

   741 // 	    //}

   742 // 	}

   743 //       }

   745 //       typename AugGraph::NodeMap<Number> free(res_graph);

   747 //       Node n;

   748 //       //searching for augmenting path

   749 //       while ( !bfs.finished() ) {

   750 // 	AugOutEdgeIt e=bfs;

   751 // 	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {

   752 // 	  Node v=res_graph.tail(e);

   753 // 	  Node w=res_graph.head(e);

   754 // 	  pred.set(w, e);

   755 // 	  if (res_graph.valid(pred.get(v))) {

   756 // 	    free.set(w, std::min(free.get(v), res_graph.free(e)));

   757 // 	  } else {

   758 // 	    free.set(w, res_graph.free(e));

   759 // 	  }

   760 // 	  n=res_graph.head(e);

   761 // 	  if (T->get(n) && (used.get(n)<1) ) {

   762 // 	    //Number u=0;

   763 // 	    //for(InEdgeIt f=G->template first<InEdgeIt>(n); G->valid(f); G->next(f))

   764 // 	    //u+=flow->get(f);

   765 // 	    //if (u<1) {

   766 // 	      _augment=true;

   767 // 	      break;

   768 // 	      //}

   769 // 	  }

   770 // 	}

   772 // 	++bfs;

   773 //       } //end of searching augmenting path

   775 //       if (_augment) {

   776 // 	//Node n=t;

   777 // 	used.set(n, 1); //mind2 vegen jav

   778 // 	Number augment_value=free.get(n);

   779 // 	while (res_graph.valid(pred.get(n))) {

   780 // 	  AugEdge e=pred.get(n);

   781 // 	  res_graph.augment(e, augment_value);

   782 // 	  n=res_graph.tail(e);

   783 // 	}

   784 // 	used.set(n, 1); //mind2 vegen jav

   785 //       }

   787 //       return _augment;

   788 //     }

   790 // //     template<typename MutableGraph> bool augmentOnBlockingFlow() {

   791 // //       bool _augment=false;

   793 // //       AugGraph res_graph(*G, *flow, *capacity);

   795 // //       typedef typename AugGraph::NodeMap<bool> ReachedMap;

   796 // //       BfsIterator4< AugGraph, AugOutEdgeIt, ReachedMap > bfs(res_graph);

   802 // //       //typename AugGraph::NodeMap<AugEdge> pred(res_graph);

   803 // //       for(NodeIt s=G->template first<NodeIt>(); G->valid(s); G->next(s)) {

   804 // // 	if (S->get(s)) {

   805 // // 	  Number u=0;

   806 // // 	  for(OutEdgeIt e=G->template first<OutEdgeIt>(s); G->valid(e); G->next(e))

   807 // // 	    u+=flow->get(e);

   808 // // 	  if (u<1) {

   809 // // 	    bfs.pushAndSetReached(s);

   810 // // 	    //pred.set(s, AugEdge(INVALID));

   811 // // 	  }

   812 // // 	}

   813 // //       }

   818 // //       //bfs.pushAndSetReached(s);

   819 // //       typename AugGraph::NodeMap<int> dist(res_graph); //filled up with 0's

   820 // //       while ( !bfs.finished() ) {

   821 // // 	AugOutEdgeIt e=bfs;

   822 // // 	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {

   823 // // 	  dist.set(res_graph.head(e), dist.get(res_graph.tail(e))+1);

   824 // // 	}

   826 // // 	++bfs;

   827 // //       } //computing distances from s in the residual graph

   829 // //       MutableGraph F;

   830 // //       typename AugGraph::NodeMap<typename MutableGraph::Node>

   831 // // 	res_graph_to_F(res_graph);

   832 // //       for(typename AugGraph::NodeIt n=res_graph.template first<typename AugGraph::NodeIt>(); res_graph.valid(n); res_graph.next(n)) {

   833 // // 	res_graph_to_F.set(n, F.addNode());

   834 // //       }

   836 // //       typename MutableGraph::Node sF=res_graph_to_F.get(s);

   837 // //       typename MutableGraph::Node tF=res_graph_to_F.get(t);

   839 // //       typename MutableGraph::EdgeMap<AugEdge> original_edge(F);

   840 // //       typename MutableGraph::EdgeMap<Number> residual_capacity(F);

   842 // //       //Making F to the graph containing the edges of the residual graph

   843 // //       //which are in some shortest paths

   844 // //       for(typename AugGraph::EdgeIt e=res_graph.template first<typename AugGraph::EdgeIt>(); res_graph.valid(e); res_graph.next(e)) {

   845 // // 	if (dist.get(res_graph.head(e))==dist.get(res_graph.tail(e))+1) {

   846 // // 	  typename MutableGraph::Edge f=F.addEdge(res_graph_to_F.get(res_graph.tail(e)), res_graph_to_F.get(res_graph.head(e)));

   847 // // 	  original_edge.update();

   848 // // 	  original_edge.set(f, e);

   849 // // 	  residual_capacity.update();

   850 // // 	  residual_capacity.set(f, res_graph.free(e));

   851 // // 	}

   852 // //       }

   854 // //       bool __augment=true;

   856 // //       while (__augment) {

   857 // // 	__augment=false;

   858 // // 	//computing blocking flow with dfs

   859 // // 	typedef typename MutableGraph::NodeMap<bool> BlockingReachedMap;

   860 // // 	DfsIterator4< MutableGraph, typename MutableGraph::OutEdgeIt, BlockingReachedMap > dfs(F);

   861 // // 	typename MutableGraph::NodeMap<typename MutableGraph::Edge> pred(F);

   862 // // 	pred.set(sF, typename MutableGraph::Edge(INVALID));

   863 // // 	//invalid iterators for sources

   865 // // 	typename MutableGraph::NodeMap<Number> free(F);

   867 // // 	dfs.pushAndSetReached(sF);

   868 // // 	while (!dfs.finished()) {

   869 // // 	  ++dfs;

   870 // // 	  if (F.valid(typename MutableGraph::OutEdgeIt(dfs))) {

   871 // // 	    if (dfs.isBNodeNewlyReached()) {

   872 // // 	      typename MutableGraph::Node v=F.aNode(dfs);

   873 // // 	      typename MutableGraph::Node w=F.bNode(dfs);

   874 // // 	      pred.set(w, dfs);

   875 // // 	      if (F.valid(pred.get(v))) {

   876 // // 		free.set(w, std::min(free.get(v), residual_capacity.get(dfs)));

   877 // // 	      } else {

   878 // // 		free.set(w, residual_capacity.get(dfs));

   879 // // 	      }

   880 // // 	      if (w==tF) {

   881 // // 		__augment=true;

   882 // // 		_augment=true;

   883 // // 		break;

   884 // // 	      }

   886 // // 	    } else {

   887 // // 	      F.erase(typename MutableGraph::OutEdgeIt(dfs));

   888 // // 	    }

   889 // // 	  }

   890 // // 	}

   892 // // 	if (__augment) {

   893 // // 	  typename MutableGraph::Node n=tF;

   894 // // 	  Number augment_value=free.get(tF);

   895 // // 	  while (F.valid(pred.get(n))) {

   896 // // 	    typename MutableGraph::Edge e=pred.get(n);

   897 // // 	    res_graph.augment(original_edge.get(e), augment_value);

   898 // // 	    n=F.tail(e);

   899 // // 	    if (residual_capacity.get(e)==augment_value)

   900 // // 	      F.erase(e);

   901 // // 	    else

   902 // // 	      residual_capacity.set(e, residual_capacity.get(e)-augment_value);

   903 // // 	  }

   904 // // 	}

   906 // //       }

   908 // //       return _augment;

   909 // //     }

   910 //     bool augmentOnBlockingFlow2() {

   911 //       bool _augment=false;

   913 //       //typedef ErasingResGraphWrapper<Graph, Number, FlowMap, CapacityMap> EAugGraph;

   914 //       typedef FilterGraphWrapper< ErasingResGraphWrapper<Graph, Number, FlowMap, CapacityMap> > EAugGraph;

   915 //       typedef typename EAugGraph::OutEdgeIt EAugOutEdgeIt;

   916 //       typedef typename EAugGraph::Edge EAugEdge;

   918 //       EAugGraph res_graph(*G, *flow, *capacity);

   920 //       //typedef typename EAugGraph::NodeMap<bool> ReachedMap;

   921 //       BfsIterator<

   922 // 	ErasingResGraphWrapper<Graph, Number, FlowMap, CapacityMap>,

   923 // 	/*typename ErasingResGraphWrapper<Graph, Number, FlowMap, CapacityMap>::OutEdgeIt,*/

   924 // 	ErasingResGraphWrapper<Graph, Number, FlowMap, CapacityMap>::NodeMap<bool> > bfs(res_graph);

   927 //       //typename AugGraph::NodeMap<AugEdge> pred(res_graph);

   928 //       for(NodeIt s=G->template first<NodeIt>(); G->valid(s); G->next(s)) {

   929 // 	if (S->get(s)) {

   930 // 	  Number u=0;

   931 // 	  for(OutEdgeIt e=G->template first<OutEdgeIt>(s); G->valid(e); G->next(e))

   932 // 	    u+=flow->get(e);

   933 // 	  if (u<1) {

   934 // 	    bfs.pushAndSetReached(s);

   935 // 	    //pred.set(s, AugEdge(INVALID));

   936 // 	  }

   937 // 	}

   938 //       }

   941 //       //bfs.pushAndSetReached(s);

   943 //       typename ErasingResGraphWrapper<Graph, Number, FlowMap, CapacityMap>::

   944 // 	NodeMap<int>& dist=res_graph.dist;

   946 //       while ( !bfs.finished() ) {

   947 // 	typename ErasingResGraphWrapper<Graph, Number, FlowMap, CapacityMap>::OutEdgeIt e=bfs;

   948 // 	if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {

   949 // 	  dist.set(res_graph.head(e), dist.get(res_graph.tail(e))+1);

   950 // 	}

   951 // 	++bfs;

   952 //       } //computing distances from s in the residual graph

   954 //       bool __augment=true;

   956 //       while (__augment) {

   958 // 	__augment=false;

   959 // 	//computing blocking flow with dfs

   960 // 	typedef typename EAugGraph::NodeMap<bool> BlockingReachedMap;

   961 // 	DfsIterator< EAugGraph/*, EAugOutEdgeIt*/, BlockingReachedMap >

   962 // 	  dfs(res_graph);

   963 // 	typename EAugGraph::NodeMap<EAugEdge> pred(res_graph, INVALID);

   964 // 	//pred.set(s, EAugEdge(INVALID));

   965 // 	//invalid iterators for sources

   967 // 	typename EAugGraph::NodeMap<Number> free(res_graph);

   970 // 	//typename AugGraph::NodeMap<AugEdge> pred(res_graph);

   971 //       for(NodeIt s=G->template first<NodeIt>(); G->valid(s); G->next(s)) {

   972 // 	if (S->get(s)) {

   973 // 	  Number u=0;

   974 // 	  for(OutEdgeIt e=G->template first<OutEdgeIt>(s); G->valid(e); G->next(e))

   975 // 	    u+=flow->get(e);

   976 // 	  if (u<1) {

   977 // 	    dfs.pushAndSetReached(s);

   978 // 	    //pred.set(s, AugEdge(INVALID));

   979 // 	  }

   980 // 	}

   981 //       }

   985 //       //dfs.pushAndSetReached(s);

   986 //       typename EAugGraph::Node n;

   987 // 	while (!dfs.finished()) {

   988 // 	  ++dfs;

   989 // 	  if (res_graph.valid(EAugOutEdgeIt(dfs))) {

   990 // 	    if (dfs.isBNodeNewlyReached()) {

   992 // 	      typename EAugGraph::Node v=res_graph.aNode(dfs);

   993 // 	      typename EAugGraph::Node w=res_graph.bNode(dfs);

   995 // 	      pred.set(w, EAugOutEdgeIt(dfs));

   996 // 	      if (res_graph.valid(pred.get(v))) {

   997 // 		free.set(w, std::min(free.get(v), res_graph.free(dfs)));

   998 // 	      } else {

   999 // 		free.set(w, res_graph.free(dfs));

  1000 // 	      }

  1002 // 	      n=w;

  1003 // 	      if (T->get(w)) {

  1004 // 		Number u=0;

  1005 // 		for(InEdgeIt f=G->template first<InEdgeIt>(n); G->valid(f); G->next(f))

  1006 // 		  u+=flow->get(f);

  1007 // 		if (u<1) {

  1008 // 		  __augment=true;

  1009 // 		  _augment=true;

  1010 // 		  break;

  1011 // 		}

  1012 // 	      }

  1013 // 	    } else {

  1014 // 	      res_graph.erase(dfs);

  1015 // 	    }

  1016 // 	  }

  1018 // 	}

  1020 // 	if (__augment) {

  1021 // 	  // typename EAugGraph::Node n=t;

  1022 // 	  Number augment_value=free.get(n);

  1023 // 	  while (res_graph.valid(pred.get(n))) {

  1024 // 	    EAugEdge e=pred.get(n);

  1025 // 	    res_graph.augment(e, augment_value);

  1026 // 	    n=res_graph.tail(e);

  1027 // 	    if (res_graph.free(e)==0)

  1028 // 	      res_graph.erase(e);

  1029 // 	  }

  1030 // 	}

  1032 //       }

  1034 //       return _augment;

  1035 //     }

  1036 //     void run() {

  1037 //       //int num_of_augmentations=0;

  1038 //       while (augmentOnShortestPath()) {

  1039 // 	//while (augmentOnBlockingFlow<MutableGraph>()) {

  1040 // 	//std::cout << ++num_of_augmentations << " ";

  1041 // 	//std::cout<<std::endl;

  1042 //       }

  1043 //     }

  1044 // //     template<typename MutableGraph> void run() {

  1045 // //       //int num_of_augmentations=0;

  1046 // //       //while (augmentOnShortestPath()) {

  1047 // // 	while (augmentOnBlockingFlow<MutableGraph>()) {

  1048 // // 	//std::cout << ++num_of_augmentations << " ";

  1049 // // 	//std::cout<<std::endl;

  1050 // //       }

  1051 // //     }

  1052 //     Number flowValue() {

  1053 //       Number a=0;

  1054 //       EdgeIt e;

  1055 //       for(G->/*getF*/first(e); G->valid(e); G->next(e)) {

  1056 // 	a+=flow->get(e);

  1057 //       }

  1058 //       return a;

  1059 //     }

  1060 //   };

  1067 // //   template <typename Graph, typename Number, typename FlowMap, typename CapacityMap>

  1068 // //   class MaxFlow2 {

  1069 // //   public:

  1070 // //     typedef typename Graph::Node Node;

  1071 // //     typedef typename Graph::Edge Edge;

  1072 // //     typedef typename Graph::EdgeIt EdgeIt;

  1073 // //     typedef typename Graph::OutEdgeIt OutEdgeIt;

  1074 // //     typedef typename Graph::InEdgeIt InEdgeIt;

  1075 // //   private:

  1076 // //     const Graph& G;

  1077 // //     std::list<Node>& S;

  1078 // //     std::list<Node>& T;

  1079 // //     FlowMap& flow;

  1080 // //     const CapacityMap& capacity;

  1081 // //     typedef ResGraphWrapper<Graph, Number, FlowMap, CapacityMap > AugGraph;

  1082 // //     typedef typename AugGraph::OutEdgeIt AugOutEdgeIt;

  1083 // //     typedef typename AugGraph::Edge AugEdge;

  1084 // //     typename Graph::NodeMap<bool> SMap;

  1085 // //     typename Graph::NodeMap<bool> TMap;

  1086 // //   public:

  1087 // //     MaxFlow2(const Graph& _G, std::list<Node>& _S, std::list<Node>& _T, FlowMap& _flow, const CapacityMap& _capacity) : G(_G), S(_S), T(_T), flow(_flow), capacity(_capacity), SMap(_G), TMap(_G) {

  1088 // //       for(typename std::list<Node>::const_iterator i=S.begin();

  1089 // // 	  i!=S.end(); ++i) {

  1090 // // 	SMap.set(*i, true);

  1091 // //       }

  1092 // //       for (typename std::list<Node>::const_iterator i=T.begin();

  1093 // // 	   i!=T.end(); ++i) {

  1094 // // 	TMap.set(*i, true);

  1095 // //       }

  1096 // //     }

  1097 // //     bool augment() {

  1098 // //       AugGraph res_graph(G, flow, capacity);

  1099 // //       bool _augment=false;

  1100 // //       Node reached_t_node;

  1102 // //       typedef typename AugGraph::NodeMap<bool> ReachedMap;

  1103 // //       BfsIterator4< AugGraph, AugOutEdgeIt, ReachedMap > bfs(res_graph);

  1104 // //       for(typename std::list<Node>::const_iterator i=S.begin();

  1105 // // 	  i!=S.end(); ++i) {

  1106 // // 	bfs.pushAndSetReached(*i);

  1107 // //       }

  1108 // //       //bfs.pushAndSetReached(s);

  1110 // //       typename AugGraph::NodeMap<AugEdge> pred(res_graph);

  1111 // //       //filled up with invalid iterators

  1113 // //       typename AugGraph::NodeMap<Number> free(res_graph);

  1115 // //       //searching for augmenting path

  1116 // //       while ( !bfs.finished() ) {

  1117 // // 	AugOutEdgeIt e=/*AugOutEdgeIt*/(bfs);

  1118 // // 	if (e.valid() && bfs.isBNodeNewlyReached()) {

  1119 // // 	  Node v=res_graph.tail(e);

  1120 // // 	  Node w=res_graph.head(e);

  1121 // // 	  pred.set(w, e);

  1122 // // 	  if (pred.get(v).valid()) {

  1123 // // 	    free.set(w, std::min(free.get(v), e.free()));

  1124 // // 	  } else {

  1125 // // 	    free.set(w, e.free());

  1126 // // 	  }

  1127 // // 	  if (TMap.get(res_graph.head(e))) {

  1128 // // 	    _augment=true;

  1129 // // 	    reached_t_node=res_graph.head(e);

  1130 // // 	    break;

  1131 // // 	  }

  1132 // // 	}

  1134 // // 	++bfs;

  1135 // //       } //end of searching augmenting path

  1137 // //       if (_augment) {

  1138 // // 	Node n=reached_t_node;

  1139 // // 	Number augment_value=free.get(reached_t_node);

  1140 // // 	while (pred.get(n).valid()) {

  1141 // // 	  AugEdge e=pred.get(n);

  1142 // // 	  e.augment(augment_value);

  1143 // // 	  n=res_graph.tail(e);

  1144 // // 	}

  1145 // //       }

  1147 // //       return _augment;

  1148 // //     }

  1149 // //     void run() {

  1150 // //       while (augment()) { }

  1151 // //     }

  1152 // //     Number flowValue() {

  1153 // //       Number a=0;

  1154 // //       for(typename std::list<Node>::const_iterator i=S.begin();

  1155 // // 	  i!=S.end(); ++i) {

  1156 // // 	for(OutEdgeIt e=G.template first<OutEdgeIt>(*i); e.valid(); ++e) {

  1157 // // 	  a+=flow.get(e);

  1158 // // 	}

  1159 // // 	for(InEdgeIt e=G.template first<InEdgeIt>(*i); e.valid(); ++e) {

  1160 // // 	  a-=flow.get(e);

  1161 // // 	}

  1162 // //       }

  1163 // //       return a;

  1164 // //     }

  1165 // //   };

  1168 } // namespace hugo

  1170 #endif //HUGO_EDMONDS_KARP_H

author	jacint
	Thu, 22 Apr 2004 15:56:05 +0000
changeset 374	0fc9cd9b854a
parent 330	7ac0d4e8a31c
child 389	770cc1f4861f
permissions	-rw-r--r--