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  /// \tparam LEN A \ref concepts::ReadMap "readable" arc map that specifies
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  /// the lengths of the arcs. The default map type is
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  /// \ref concepts::Digraph::ArcMap "GR::ArcMap<int>".
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  /// \tparam TR The traits class that defines various types used by the
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  /// algorithm. By default, it is \ref BellmanFordDefaultTraits
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  /// "BellmanFordDefaultTraits<GR, LEN>".
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  /// In most cases, this parameter should not be set directly,
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  /// consider to use the named template parameters instead.
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#ifdef DOXYGEN
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  template <typename GR, typename LEN, typename TR>
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#else
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@@ -933,6 +938,9 @@
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  ///
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  /// This class should only be used through the \ref bellmanFord()
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  /// function, which makes it easier to use the algorithm.
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  ///
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  /// \tparam TR The traits class that defines various types used by the
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  /// algorithm.
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  template<class TR>
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  class BellmanFordWizard : public TR {
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    typedef TR Base;
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@@ -121,6 +121,11 @@
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  ///
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  ///\tparam GR The type of the digraph the algorithm runs on.
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  ///The default type is \ref ListDigraph.
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  ///\tparam TR The traits class that defines various types used by the
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  ///algorithm. By default, it is \ref BfsDefaultTraits
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  ///"BfsDefaultTraits<GR>".
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  ///In most cases, this parameter should not be set directly,
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  ///consider to use the named template parameters instead.
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#ifdef DOXYGEN
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  template <typename GR,
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            typename TR>
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@@ -957,6 +962,9 @@
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  ///
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  /// This class should only be used through the \ref bfs() function,
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  /// which makes it easier to use the algorithm.
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  ///
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  /// \tparam TR The traits class that defines various types used by the
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  /// algorithm.
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  template<class TR>
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  class BfsWizard : public TR
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  {
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@@ -1295,11 +1303,11 @@
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  /// \ref BfsVisitor "BfsVisitor<GR>" is an empty visitor, which
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  /// does not observe the BFS events. If you want to observe the BFS
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  /// events, you should implement your own visitor class.
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  /// \tparam TR Traits class to set various data types used by the
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  /// algorithm. The default traits class is
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  /// \ref BfsVisitDefaultTraits "BfsVisitDefaultTraits<GR>".
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  /// See \ref BfsVisitDefaultTraits for the documentation of
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  /// a BFS visit traits class.
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  /// \tparam TR The traits class that defines various types used by the
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  /// algorithm. By default, it is \ref BfsVisitDefaultTraits
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  /// "BfsVisitDefaultTraits<GR>".
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  /// In most cases, this parameter should not be set directly,
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  /// consider to use the named template parameters instead.
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#ifdef DOXYGEN
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  template <typename GR, typename VS, typename TR>
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#else
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  ///
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  /// \tparam GR The digraph type the algorithm runs on.
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  /// \tparam V The number type used for flow amounts, capacity bounds
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  /// and supply values in the algorithm. By default it is \c int.
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  /// and supply values in the algorithm. By default, it is \c int.
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  /// \tparam C The number type used for costs and potentials in the
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  /// algorithm. By default it is the same as \c V.
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  /// algorithm. By default, it is the same as \c V.
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  /// \tparam TR The traits class that defines various types used by the
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  /// algorithm. By default, it is \ref CapacityScalingDefaultTraits
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  /// "CapacityScalingDefaultTraits<GR, V, C>".
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  /// In most cases, this parameter should not be set directly,
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  /// consider to use the named template parameters instead.
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  ///
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  /// \warning Both number types must be signed and all input data must
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  /// be integer.
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@@ -173,6 +173,11 @@
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     The default map type is \c LM.
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     \tparam SM The type of the supply map. The default map type is
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     \ref concepts::Digraph::NodeMap "GR::NodeMap<UM::Value>".
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     \tparam TR The traits class that defines various types used by the
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     algorithm. By default, it is \ref CirculationDefaultTraits
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     "CirculationDefaultTraits<GR, LM, UM, SM>".
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     In most cases, this parameter should not be set directly,
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     consider to use the named template parameters instead.
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  */
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#ifdef DOXYGEN
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template< typename GR,
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@@ -104,9 +104,14 @@
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  ///
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  /// \tparam GR The digraph type the algorithm runs on.
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  /// \tparam V The number type used for flow amounts, capacity bounds
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  /// and supply values in the algorithm. By default it is \c int.
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  /// and supply values in the algorithm. By default, it is \c int.
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  /// \tparam C The number type used for costs and potentials in the
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  /// algorithm. By default it is the same as \c V.
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  /// algorithm. By default, it is the same as \c V.
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  /// \tparam TR The traits class that defines various types used by the
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  /// algorithm. By default, it is \ref CostScalingDefaultTraits
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  /// "CostScalingDefaultTraits<GR, V, C>".
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  /// In most cases, this parameter should not be set directly,
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  /// consider to use the named template parameters instead.
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  ///
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  /// \warning Both number types must be signed and all input data must
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  /// be integer.
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    /// \brief The large cost type
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    ///
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    /// The large cost type used for internal computations.
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    /// Using the \ref CostScalingDefaultTraits "default traits class",
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    /// it is \c long \c long if the \c Cost type is integer,
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    /// By default, it is \c long \c long if the \c Cost type is integer,
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    /// otherwise it is \c double.
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    typedef typename TR::LargeCost LargeCost;
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  ///
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  ///\tparam GR The type of the digraph the algorithm runs on.
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  ///The default type is \ref ListDigraph.
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  ///\tparam TR The traits class that defines various types used by the
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  ///algorithm. By default, it is \ref DfsDefaultTraits
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  ///"DfsDefaultTraits<GR>".
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  ///In most cases, this parameter should not be set directly,
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  ///consider to use the named template parameters instead.
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#ifdef DOXYGEN
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  template <typename GR,
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            typename TR>
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  ///
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  /// This class should only be used through the \ref dfs() function,
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  /// which makes it easier to use the algorithm.
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  ///
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  /// \tparam TR The traits class that defines various types used by the
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  /// algorithm.
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  template<class TR>
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  class DfsWizard : public TR
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  {
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@@ -1237,11 +1245,11 @@
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  /// \ref DfsVisitor "DfsVisitor<GR>" is an empty visitor, which
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  /// does not observe the DFS events. If you want to observe the DFS
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  /// events, you should implement your own visitor class.
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  /// \tparam TR Traits class to set various data types used by the
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  /// algorithm. The default traits class is
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  /// \ref DfsVisitDefaultTraits "DfsVisitDefaultTraits<GR>".
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  /// See \ref DfsVisitDefaultTraits for the documentation of
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  /// a DFS visit traits class.
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  /// \tparam TR The traits class that defines various types used by the
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  /// algorithm. By default, it is \ref DfsVisitDefaultTraits
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  /// "DfsVisitDefaultTraits<GR>".
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  /// In most cases, this parameter should not be set directly,
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  /// consider to use the named template parameters instead.
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#ifdef DOXYGEN
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  template <typename GR, typename VS, typename TR>
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#else
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  ///relatively time consuming process to compute the arc lengths if
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  ///it is necessary. The default map type is \ref
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  ///concepts::Digraph::ArcMap "GR::ArcMap<int>".
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  ///\tparam TR The traits class that defines various types used by the
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  ///algorithm. By default, it is \ref DijkstraDefaultTraits
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  ///"DijkstraDefaultTraits<GR, LEN>".
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  ///In most cases, this parameter should not be set directly,
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  ///consider to use the named template parameters instead.
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#ifdef DOXYGEN
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  template <typename GR, typename LEN, typename TR>
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#else
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@@ -1092,6 +1097,9 @@
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  ///
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  /// This class should only be used through the \ref dijkstra() function,
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  /// which makes it easier to use the algorithm.
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  ///
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  /// \tparam TR The traits class that defines various types used by the
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  /// algorithm.
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  template<class TR>
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  class DijkstraWizard : public TR
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  {
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@@ -106,6 +106,11 @@
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  /// \tparam GR The type of the digraph the algorithm runs on.
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  /// \tparam LEN The type of the length map. The default
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  /// map type is \ref concepts::Digraph::ArcMap "GR::ArcMap<int>".
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  /// \tparam TR The traits class that defines various types used by the
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  /// algorithm. By default, it is \ref HartmannOrlinDefaultTraits
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  /// "HartmannOrlinDefaultTraits<GR, LEN>".
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  /// In most cases, this parameter should not be set directly,
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  /// consider to use the named template parameters instead.
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#ifdef DOXYGEN
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  template <typename GR, typename LEN, typename TR>
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#else
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    /// \brief The large value type
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    ///
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    /// The large value type used for internal computations.
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    /// Using the \ref HartmannOrlinDefaultTraits "default traits class",
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    /// it is \c long \c long if the \c Value type is integer,
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    /// By default, it is \c long \c long if the \c Value type is integer,
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    /// otherwise it is \c double.
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    typedef typename TR::LargeValue LargeValue;
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  /// \tparam GR The type of the digraph the algorithm runs on.
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  /// \tparam LEN The type of the length map. The default
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  /// map type is \ref concepts::Digraph::ArcMap "GR::ArcMap<int>".
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  /// \tparam TR The traits class that defines various types used by the
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  /// algorithm. By default, it is \ref HowardDefaultTraits
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  /// "HowardDefaultTraits<GR, LEN>".
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  /// In most cases, this parameter should not be set directly,
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  /// consider to use the named template parameters instead.
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#ifdef DOXYGEN
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  template <typename GR, typename LEN, typename TR>
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#else
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@@ -127,8 +132,7 @@
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    /// \brief The large value type
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    ///
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    /// The large value type used for internal computations.
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    /// Using the \ref HowardDefaultTraits "default traits class",
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    /// it is \c long \c long if the \c Value type is integer,
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    /// By default, it is \c long \c long if the \c Value type is integer,
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    /// otherwise it is \c double.
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    typedef typename TR::LargeValue LargeValue;
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@@ -104,6 +104,11 @@
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  /// \tparam GR The type of the digraph the algorithm runs on.
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  /// \tparam LEN The type of the length map. The default
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  /// map type is \ref concepts::Digraph::ArcMap "GR::ArcMap<int>".
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  /// \tparam TR The traits class that defines various types used by the
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  /// algorithm. By default, it is \ref KarpDefaultTraits
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  /// "KarpDefaultTraits<GR, LEN>".
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  /// In most cases, this parameter should not be set directly,
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  /// consider to use the named template parameters instead.
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#ifdef DOXYGEN
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  template <typename GR, typename LEN, typename TR>
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#else
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@@ -125,8 +130,7 @@
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    /// \brief The large value type
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    ///
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    /// The large value type used for internal computations.
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    /// Using the \ref KarpDefaultTraits "default traits class",
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    /// it is \c long \c long if the \c Value type is integer,
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    /// By default, it is \c long \c long if the \c Value type is integer,
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    /// otherwise it is \c double.
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    typedef typename TR::LargeValue LargeValue;
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@@ -112,17 +112,18 @@
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  /// relatively time consuming process to compute the arc costs if
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  /// it is necessary. The default map type is \ref
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  /// concepts::Digraph::ArcMap "Digraph::ArcMap<int>".
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  /// \param TR Traits class to set various data types used
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  /// by the algorithm. The default traits class is
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  /// \ref MinCostArborescenceDefaultTraits
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  /// \tparam TR The traits class that defines various types used by the
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  /// algorithm. By default, it is \ref MinCostArborescenceDefaultTraits
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  /// "MinCostArborescenceDefaultTraits<GR, CM>".
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  /// In most cases, this parameter should not be set directly,
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  /// consider to use the named template parameters instead.
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#ifndef DOXYGEN
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  template <typename GR,
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            typename CM = typename GR::template ArcMap<int>,
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            typename TR =
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              MinCostArborescenceDefaultTraits<GR, CM> >
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#else
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  template <typename GR, typename CM, typedef TR>
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  template <typename GR, typename CM, typename TR>
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#endif
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  class MinCostArborescence {
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  public:
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  /// \tparam GR The type of the digraph the algorithm runs on.
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  /// \tparam CAP The type of the capacity map. The default map
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  /// type is \ref concepts::Digraph::ArcMap "GR::ArcMap<int>".
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  /// \tparam TR The traits class that defines various types used by the
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  /// algorithm. By default, it is \ref PreflowDefaultTraits
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  /// "PreflowDefaultTraits<GR, CAP>".
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  /// In most cases, this parameter should not be set directly,
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  /// consider to use the named template parameters instead.
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#ifdef DOXYGEN
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  template <typename GR, typename CAP, typename TR>
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#else
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