/* -*- C++ -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library

 *

 * Copyright (C) 2003-2006

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

#ifndef LEMON_SUB_GRAPH_H

#define LEMON_SUB_GRAPH_H

#include <lemon/graph_adaptor.h>

#include <lemon/bits/graph_adaptor_extender.h>

#include <lemon/bits/default_map.h>

namespace lemon {

  /// \brief Base for the SubGraph.

  ///

  /// Base for the SubGraph.

  template <typename _Graph>

  class SubGraphBase : public GraphAdaptorBase<const _Graph> {

  public:

    typedef _Graph Graph;

    typedef SubGraphBase<_Graph> SubGraph;

    typedef GraphAdaptorBase<const _Graph> Parent;

    typedef Parent Base;

    typedef typename Parent::Node Node;

    typedef typename Parent::Edge Edge;

  protected:

    class NodesImpl;

    class EdgesImpl;

    SubGraphBase() {}

    void construct(const Graph& _graph, NodesImpl& _nodes, EdgesImpl& _edges) {

      Parent::setGraph(_graph);

      nodes = &_nodes;

      edges = &_edges;

      firstNode = INVALID;

      Node node;

      Parent::first(node);

      while (node != INVALID) {

	(*nodes)[node].prev = node;

	(*nodes)[node].firstIn = INVALID;

	(*nodes)[node].firstOut = INVALID;

	Parent::next(node);

      }

      Edge edge;

      Parent::first(edge);

      while (edge != INVALID) {

	(*edges)[edge].prevOut = edge;

	Parent::next(edge);

      }

    }

  public:

    void first(Node& node) const {

      node = firstNode;

    }

    void next(Node& node) const {

      node = (*nodes)[node].next;

    }

    void first(Edge& edge) const {

      Node node = firstNode;

      while (node != INVALID && (*nodes)[node].firstOut == INVALID) {

	node = (*nodes)[node].next;

      }

      if (node == INVALID) {

	edge = INVALID;

      } else {

	edge = (*nodes)[node].firstOut;

      }

    }

    void next(Edge& edge) const {

      if ((*edges)[edge].nextOut != INVALID) {

	edge = (*edges)[edge].nextOut;

      } else {

	Node node = (*nodes)[source(edge)].next;

	while (node != INVALID && (*nodes)[node].firstOut == INVALID) {

	  node = (*nodes)[node].next;

	}

	if (node == INVALID) {

	  edge = INVALID;

	} else {

	  edge = (*nodes)[node].firstOut;

	}

      }

    }

    void firstOut(Edge& edge, const Node& node) const {

      edge = (*nodes)[node].firstOut;

    }

    void nextOut(Edge& edge) const {

      edge = (*edges)[edge].nextOut;

    }

    void firstIn(Edge& edge, const Node& node) const {

      edge = (*nodes)[node].firstIn;

    }

    void nextIn(Edge& edge) const {

      edge = (*edges)[edge].nextIn;

    }

    /// \brief Returns true when the given node is hidden.

    ///

    /// Returns true when the given node is hidden.

    bool hidden(const Node& node) const {

      return (*nodes)[node].prev == node;

    }

    /// \brief Hide the given node in the sub-graph.

    ///

    /// Hide the given node in the sub graph. It just lace out from

    /// the linked lists the given node. If there are incoming or outgoing

    /// edges into or from this node then all of these will be hidden.

    void hide(const Node& node) {

      if (hidden(node)) return;

      Edge edge;

      firstOut(edge, node);

      while (edge != INVALID) {

	hide(edge);

	firstOut(edge, node);

      }

      firstOut(edge, node);

      while (edge != INVALID) {

	hide(edge);

	firstOut(edge, node);

      }

      if ((*nodes)[node].prev != INVALID) {

	(*nodes)[(*nodes)[node].prev].next = (*nodes)[node].next;

      } else {

	firstNode = (*nodes)[node].next;

      }

      if ((*nodes)[node].next != INVALID) {

	(*nodes)[(*nodes)[node].next].prev = (*nodes)[node].prev;

      }

      (*nodes)[node].prev = node;

      (*nodes)[node].firstIn = INVALID;

      (*nodes)[node].firstOut = INVALID;

    }

    /// \brief Unhide the given node in the sub-graph.

    ///

    /// Unhide the given node in the sub graph. It just lace in the given

    /// node into the linked lists.

    void unHide(const Node& node) {

      if (!hidden(node)) return;

      (*nodes)[node].next = firstNode;

      (*nodes)[node].prev = INVALID;

      if ((*nodes)[node].next != INVALID) {

	(*nodes)[(*nodes)[node].next].prev = node;

      }

      firstNode = node;

    }

    /// \brief Returns true when the given edge is hidden.

    ///

    /// Returns true when the given edge is hidden.

    bool hidden(const Edge& edge) const {

      return (*edges)[edge].prevOut == edge;

    }

    /// \brief Hide the given edge in the sub-graph.

    ///

    /// Hide the given edge in the sub graph. It just lace out from

    /// the linked lists the given edge.

    void hide(const Edge& edge) {

      if (hidden(edge)) return;

      if ((*edges)[edge].prevOut == edge) return;

      if ((*edges)[edge].prevOut != INVALID) {

	(*edges)[(*edges)[edge].prevOut].nextOut = (*edges)[edge].nextOut;

      } else {

	(*nodes)[source(edge)].firstOut = (*edges)[edge].nextOut;

      }

      if ((*edges)[edge].nextOut != INVALID) {

	(*edges)[(*edges)[edge].nextOut].prevOut = (*edges)[edge].prevOut;

      }

      if ((*edges)[edge].prevIn != INVALID) {

	(*edges)[(*edges)[edge].prevIn].nextIn = (*edges)[edge].nextIn;

      } else {

	(*nodes)[target(edge)].firstIn = (*edges)[edge].nextIn;

      }

      if ((*edges)[edge].nextIn != INVALID) {

	(*edges)[(*edges)[edge].nextIn].prevIn = (*edges)[edge].prevIn;

      }

      (*edges)[edge].next = edge;

    }

    /// \brief Unhide the given edge in the sub-graph.

    ///

    /// Unhide the given edge in the sub graph. It just lace in the given

    /// edge into the linked lists. If the source or the target of the

    /// node is hidden then it will unhide it.

    void unHide(const Edge& edge) {

      if (!hidden(edge)) return;

      Node node;

      node = Parent::source(edge);

      unHide(node);

      (*edges)[edge].nextOut = (*nodes)[node].firstOut;

      (*edges)[edge].prevOut = INVALID;

      if ((*edges)[edge].nextOut != INVALID) {

	(*edges)[(*edges)[edge].nextOut].prevOut = edge;

      }

      (*nodes)[node].firstOut = edge;

      node = Parent::target(edge);

      unHide(node);

      (*edges)[edge].nextIn = (*nodes)[node].firstIn;

      (*edges)[edge].prevIn = INVALID;

      if ((*edges)[edge].nextIn != INVALID) {

	(*edges)[(*edges)[edge].nextIn].prevIn = edge;

      }

      (*nodes)[node].firstIn = edge;      

    }

    typedef False NodeNumTag;

    typedef False EdgeNumTag;

  protected:

    struct NodeT {

      Node prev, next;

      Edge firstIn, firstOut;

    };

    class NodesImpl : public DefaultMap<Graph, Node, NodeT> {

      friend class SubGraphBase;

    public:

      typedef DefaultMap<Graph, Node, NodeT> Parent;

      NodesImpl(SubGraph& _adaptor, const Graph& _graph) 

	: Parent(_graph), adaptor(_adaptor) {}

      virtual ~NodesImpl() {}

      virtual void build() {

	Parent::build();

	Node node;

	adaptor.Base::first(node);

	while (node != INVALID) {

	  Parent::operator[](node).prev = node;

	  Parent::operator[](node).firstIn = INVALID;

	  Parent::operator[](node).firstOut = INVALID;

	  adaptor.Base::next(node);

	}

      }

      virtual void clear() {

	adaptor.firstNode = INVALID;

	Parent::clear();

      }

      virtual void add(const Node& node) {

	Parent::add(node);

	Parent::operator[](node).prev = node;

	Parent::operator[](node).firstIn = INVALID;

	Parent::operator[](node).firstOut = INVALID;

      }

      virtual void add(const std::vector<Node>& nodes) {

	Parent::add(nodes);

	for (int i = 0; i < (int)nodes.size(); ++i) {

	  Parent::operator[](nodes[i]).prev = nodes[i];

	  Parent::operator[](nodes[i]).firstIn = INVALID;

	  Parent::operator[](nodes[i]).firstOut = INVALID;

	}

      } 

      virtual void erase(const Node& node) {

	adaptor.hide(node);

	Parent::erase(node);

      }

      virtual void erase(const std::vector<Node>& nodes) {

	for (int i = 0; i < (int)nodes.size(); ++i) {

	  adaptor.hide(nodes[i]);

	}

	Parent::erase(nodes);

      }

    private:

      SubGraph& adaptor;

    };

    struct EdgeT {

      Edge prevOut, nextOut;

      Edge prevIn, nextIn;

    };

    class EdgesImpl : public DefaultMap<Graph, Edge, EdgeT> {

      friend class SubGraphBase;

    public:

      typedef DefaultMap<Graph, Edge, EdgeT> Parent;

      EdgesImpl(SubGraph& _adaptor, const Graph& _graph) 

	: Parent(_graph), adaptor(_adaptor) {}

      virtual ~EdgesImpl() {}

      virtual void build() {

	Parent::build();

	Edge edge;

	adaptor.Base::first(edge);

	while (edge != INVALID) {

	  Parent::operator[](edge).prevOut = edge;

	  adaptor.Base::next(edge);

	}

      }

      virtual void clear() {

	Node node;

	adaptor.first(node);

	while (node != INVALID) {

	  (*adaptor.nodes).firstIn = INVALID;

	  (*adaptor.nodes).firstOut = INVALID;

	  adaptor.next(node);

	}

	Parent::clear();

      }

      virtual void add(const Edge& edge) {

	Parent::add(edge);

	Parent::operator[](edge).prevOut = edge;

      }

      virtual void add(const std::vector<Edge>& edges) {

	Parent::add(edges);

	for (int i = 0; i < (int)edges.size(); ++i) {

	  Parent::operator[](edges[i]).prevOut = edges[i];

	}

      }

      virtual void erase(const Edge& edge) {

	adaptor.hide(edge);

	Parent::erase(edge);

      }

      virtual void erase(const std::vector<Edge>& edges) {

	for (int i = 0; i < (int)edges.size(); ++i) {

	  adaptor.hide(edges[i]);

	}

	Parent::erase(edges);

      }

    private:

      SubGraph& adaptor;

    };

    NodesImpl* nodes;

    EdgesImpl* edges;

    Node firstNode;

  };

  /// \ingroup semi_adaptors

  ///

  /// \brief Graph which uses a subset of another graph's nodes and edges.

  ///

  /// Graph which uses a subset of another graph's nodes and edges. This class

  /// is an alternative to the SubGraphAdaptor which is created for the

  /// same reason. The main difference between the two class that it

  /// makes linked lists on the unhidden nodes and edges what cause that

  /// on sparse subgraphs the algorithms can be more efficient and some times

  /// provide better time complexity. On other way this implemetation is

  /// less efficient in most case when the subgraph filters out only

  /// a few nodes or edges.

  /// 

  /// \see SubGraphAdaptor

  /// \see EdgeSubGraphBase

  template <typename Graph>

  class SubGraph 

    : public GraphAdaptorExtender< SubGraphBase<Graph> > {

  public:

    typedef GraphAdaptorExtender< SubGraphBase<Graph> > Parent;

  public:

    /// \brief Constructor for sub-graph.

    ///

    /// Constructor for sub-graph. Initially all the edges and nodes

    /// are hidden in the graph.

    SubGraph(const Graph& _graph) 

      : Parent(), nodes(*this, _graph), edges(*this, _graph) { 

      Parent::construct(_graph, nodes, edges);

    }

  private:

    typename Parent::NodesImpl nodes;

    typename Parent::EdgesImpl edges;

  };

  /// \brief Base for the EdgeSubGraph.

  ///

  /// Base for the EdgeSubGraph.

  template <typename _Graph>

  class EdgeSubGraphBase : public GraphAdaptorBase<const _Graph> {

  public:

    typedef _Graph Graph;

    typedef EdgeSubGraphBase<_Graph> SubGraph;

    typedef GraphAdaptorBase<const _Graph> Parent;

    typedef Parent Base;

    typedef typename Parent::Node Node;

    typedef typename Parent::Edge Edge;

  protected:

    class NodesImpl;

    class EdgesImpl;

    EdgeSubGraphBase() {}

    void construct(const Graph& _graph, NodesImpl& _nodes, EdgesImpl& _edges) {

      Parent::setGraph(_graph);

      nodes = &_nodes;

      edges = &_edges;

      Node node;

      Parent::first(node);

      while (node != INVALID) {

	(*nodes)[node].firstIn = INVALID;

	(*nodes)[node].firstOut = INVALID;

	Parent::next(node);

      }

      Edge edge;

      Parent::first(edge);

      while (edge != INVALID) {

	(*edges)[edge].prevOut = edge;

	Parent::next(edge);

      }

    }

  public:

    void first(Node& node) const {

      Parent::first(node);

    }

    void next(Node& node) const {

      Parent::next(node);

    }

    void first(Edge& edge) const {

      Node node;

      Parent::first(node);

      while (node != INVALID && (*nodes)[node].firstOut == INVALID) {

	Parent::next(node);

      }

      if (node == INVALID) {

	edge = INVALID;

      } else {

	edge = (*nodes)[node].firstOut;

      }

    }

    void next(Edge& edge) const {

      if ((*edges)[edge].nextOut != INVALID) {

	edge = (*edges)[edge].nextOut;

      } else {

	Node node = source(edge);

	Parent::next(node);

	while (node != INVALID && (*nodes)[node].firstOut == INVALID) {

	  Parent::next(node);

	}

	if (node == INVALID) {

	  edge = INVALID;

	} else {

	  edge = (*nodes)[node].firstOut;

	}

      }

    }

    void firstOut(Edge& edge, const Node& node) const {

      edge = (*nodes)[node].firstOut;

    }

    void nextOut(Edge& edge) const {

      edge = (*edges)[edge].nextOut;

    }

    void firstIn(Edge& edge, const Node& node) const {

      edge = (*nodes)[node].firstIn;

    }

    void nextIn(Edge& edge) const {

      edge = (*edges)[edge].nextIn;

    }

    /// \brief Returns true when the given edge is hidden.

    ///

    /// Returns true when the given edge is hidden.

    bool hidden(const Edge& edge) const {

      return (*edges)[edge].prevOut == edge;

    }

    /// \brief Hide the given edge in the sub-graph.

    ///

    /// Hide the given edge in the sub graph. It just lace out from

    /// the linked lists the given edge.

    void hide(const Edge& edge) {

      if (hidden(edge)) return;

      if ((*edges)[edge].prevOut != INVALID) {

	(*edges)[(*edges)[edge].prevOut].nextOut = (*edges)[edge].nextOut;

      } else {

	(*nodes)[source(edge)].firstOut = (*edges)[edge].nextOut;

      }

      if ((*edges)[edge].nextOut != INVALID) {

	(*edges)[(*edges)[edge].nextOut].prevOut = (*edges)[edge].prevOut;

      }

      if ((*edges)[edge].prevIn != INVALID) {

	(*edges)[(*edges)[edge].prevIn].nextIn = (*edges)[edge].nextIn;

      } else {

	(*nodes)[target(edge)].firstIn = (*edges)[edge].nextIn;

      }

      if ((*edges)[edge].nextIn != INVALID) {

	(*edges)[(*edges)[edge].nextIn].prevIn = (*edges)[edge].prevIn;

      }

      (*edges)[edge].prevOut = edge;

    }

    /// \brief Unhide the given edge in the sub-graph.

    ///

    /// Unhide the given edge in the sub graph. It just lace in the given

    /// edge into the linked lists.

    void unHide(const Edge& edge) {

      if (!hidden(edge)) return;

      Node node;

      node = Parent::source(edge);

      (*edges)[edge].nextOut = (*nodes)[node].firstOut;

      (*edges)[edge].prevOut = INVALID;

      if ((*edges)[edge].nextOut != INVALID) {

	(*edges)[(*edges)[edge].nextOut].prevOut = edge;

      }

      (*nodes)[node].firstOut = edge;

      node = Parent::target(edge);

      (*edges)[edge].nextIn = (*nodes)[node].firstIn;

      (*edges)[edge].prevIn = INVALID;

      if ((*edges)[edge].nextIn != INVALID) {

	(*edges)[(*edges)[edge].nextIn].prevIn = edge;

      }

      (*nodes)[node].firstIn = edge;      

    }

  protected:

    struct NodeT {

      Edge firstIn, firstOut;

    };

    class NodesImpl : public DefaultMap<Graph, Node, NodeT> {

      friend class EdgeSubGraphBase;

    public:

      typedef DefaultMap<Graph, Node, NodeT> Parent;

      NodesImpl(SubGraph& _adaptor, const Graph& _graph) 

	: Parent(_graph), adaptor(_adaptor) {}

      virtual ~NodesImpl() {}

      virtual void build() {

	Parent::build();

	Node node;

	adaptor.Base::first(node);

	while (node != INVALID) {

	  Parent::operator[](node).firstIn = INVALID;

	  Parent::operator[](node).firstOut = INVALID;

	  adaptor.Base::next(node);

	}

      }

      virtual void add(const Node& node) {

	Parent::add(node);

	Parent::operator[](node).firstIn = INVALID;

	Parent::operator[](node).firstOut = INVALID;

      }

      virtual void add(const std::vector<Node>& nodes) {

        Parent::add(nodes);

        for (int i = 0; i < (int)nodes.size(); ++i) {

          Parent::operator[](nodes[i]).firstIn = INVALID;

          Parent::operator[](nodes[i]).firstOut = INVALID;

        }

      }

    private:

      SubGraph& adaptor;

    };

    struct EdgeT {

      Edge prevOut, nextOut;

      Edge prevIn, nextIn;

    };

    class EdgesImpl : public DefaultMap<Graph, Edge, EdgeT> {

      friend class EdgeSubGraphBase;

    public:

      typedef DefaultMap<Graph, Edge, EdgeT> Parent;

      EdgesImpl(SubGraph& _adaptor, const Graph& _graph) 

	: Parent(_graph), adaptor(_adaptor) {}

      virtual ~EdgesImpl() {}

      virtual void build() {

	Parent::build();

	Edge edge;

	adaptor.Base::first(edge);

	while (edge != INVALID) {

	  Parent::operator[](edge).prevOut = edge;

	  adaptor.Base::next(edge);

	}

      }

      virtual void clear() {

	Node node;

	adaptor.Base::first(node);

	while (node != INVALID) {

	  (*adaptor.nodes)[node].firstIn = INVALID;

	  (*adaptor.nodes)[node].firstOut = INVALID;

	  adaptor.Base::next(node);

	}

	Parent::clear();

      }

      virtual void add(const Edge& edge) {

	Parent::add(edge);

	Parent::operator[](edge).prevOut = edge;

      }

      virtual void add(const std::vector<Edge>& edges) {

	Parent::add(edges);

	for (int i = 0; i < (int)edges.size(); ++i) {

	  Parent::operator[](edges[i]).prevOut = edges[i];

	}

      }

      virtual void erase(const Edge& edge) {

	adaptor.hide(edge);

	Parent::erase(edge);

      }

      virtual void erase(const std::vector<Edge>& edges) {

	for (int i = 0; i < (int)edges.size(); ++i) {

	  adaptor.hide(edges[i]);

	}

	Parent::erase(edges);

      }

    private:

      SubGraph& adaptor;

    };

    NodesImpl* nodes;

    EdgesImpl* edges;

  };

  /// \ingroup semi_adaptors

  ///

  /// \brief Graph which uses a subset of another graph's edges.

  ///

  /// Graph which uses a subset of another graph's edges. This class

  /// is an alternative to the EdgeSubGraphAdaptor which is created for the

  /// same reason. The main difference between the two class that it

  /// makes linked lists on the unhidden edges what cause that

  /// on sparse subgraphs the algorithms can be more efficient and some times

  /// provide better time complexity. On other way this implemetation is

  /// less efficient in most case when the subgraph filters out only

  /// a few edges.

  /// 

  /// \see EdgeSubGraphAdaptor

  /// \see EdgeSubGraphBase

  template <typename Graph>

  class EdgeSubGraph 

    : public GraphAdaptorExtender< EdgeSubGraphBase<Graph> > {

  public:

    typedef GraphAdaptorExtender< EdgeSubGraphBase<Graph> > Parent;

  public:

    /// \brief Constructor for sub-graph.

    ///

    /// Constructor for sub-graph. Initially all the edges are hidden in the 

    /// graph.

    EdgeSubGraph(const Graph& _graph) 

      : Parent(), nodes(*this, _graph), edges(*this, _graph) { 

      Parent::construct(_graph, nodes, edges);

    }

  private:

    typename Parent::NodesImpl nodes;

    typename Parent::EdgesImpl edges;

  };

//   template<typename Graph, typename Number, 

// 	   typename CapacityMap, typename FlowMap>

//   class ResGraph

//     : public IterableGraphExtender<EdgeSubGraphBase<

//     UGraphAdaptor<Graph> > > {

//   public:

//     typedef IterableGraphExtender<EdgeSubGraphBase<

//       UGraphAdaptor<Graph> > > Parent;

//   protected:

//     UGraphAdaptor<Graph> u;

//     const CapacityMap* capacity;

//     FlowMap* flow;

//     typename Parent::NodesImpl nodes;

//     typename Parent::EdgesImpl edges;

//     void setCapacityMap(const CapacityMap& _capacity) {

//       capacity=&_capacity;

//     }

//     void setFlowMap(FlowMap& _flow) {

//       flow=&_flow;

//     }

//   public:

//     typedef typename UGraphAdaptor<Graph>::Node Node;

//     typedef typename UGraphAdaptor<Graph>::Edge Edge;

//     typedef typename UGraphAdaptor<Graph>::UEdge UEdge;

//     ResGraphAdaptor(Graph& _graph, 

// 		    const CapacityMap& _capacity, FlowMap& _flow) 

//       : Parent(), u(_graph), capacity(&_capacity), flow(&_flow),

// 	nodes(*this, _graph), edges(*this, _graph) {

//       Parent::construct(u, nodes, edges);

//       setFlowMap(_flow);

//       setCapacityMap(_capacity);

//       typename Graph::Edge edge; 

//       for (_graph.first(edge); edge != INVALID; _graph.next(edge)) {

// 	if ((*flow)[edge] != (*capacity)[edge]) {

// 	  Parent::unHide(direct(edge, true));

// 	}

// 	if ((*flow)[edge] != 0) {

// 	  Parent::unHide(direct(edge, false));

// 	}

//       }

//     }

//     void augment(const Edge& e, Number a) {

//       if (direction(e)) {

// 	flow->set(e, (*flow)[e]+a);

//       } else { 

// 	flow->set(e, (*flow)[e]-a);

//       }

//       if ((*flow)[e] == (*capacity)[e]) {

// 	Parent::hide(e);

//       } else {

// 	Parent::unHide(e);

//       }

//       if ((*flow)[e] == 0) {

// 	Parent::hide(oppositeEdge(e));

//       } else {

// 	Parent::unHide(oppositeEdge(e));

//       }

//     }

//     Number resCap(const Edge& e) {

//       if (direction(e)) { 

// 	return (*capacity)[e]-(*flow)[e]; 

//       } else { 

// 	return (*flow)[e];

//       }

//     }

//     bool direction(const Edge& edge) const {

//       return Parent::getGraph().direction(edge);

//     }

//     Edge direct(const UEdge& edge, bool direction) const {

//       return Parent::getGraph().direct(edge, direction);

//     }

//     Edge direct(const UEdge& edge, const Node& node) const {

//       return Parent::getGraph().direct(edge, node);

//     }

//     Edge oppositeEdge(const Edge& edge) const {

//       return Parent::getGraph().oppositeEdge(edge);

//     }

//     /// \brief Residual capacity map.

//     ///

//     /// In generic residual graphs the residual capacity can be obtained 

//     /// as a map. 

//     class ResCap {

//     protected:

//       const ResGraphAdaptor* res_graph;

//     public:

//       typedef Number Value;

//       typedef Edge Key;

//       ResCap(const ResGraphAdaptor& _res_graph) 

// 	: res_graph(&_res_graph) {}

//       Number operator[](const Edge& e) const {

// 	return res_graph->resCap(e);

//       }

//     };

//   };

}

#endif