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kpeter (Peter Kovacs)
kpeter@inf.elte.hu
Improvements in the heap concept - Better concept checking. - Improved doc.
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/* -*- C++ -*-
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 *
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 * This file is a part of LEMON, a generic C++ optimization library
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 *
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 * Copyright (C) 2003-2008
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 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
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 * (Egervary Research Group on Combinatorial Optimization, EGRES).
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 *
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 * Permission to use, modify and distribute this software is granted
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 * provided that this copyright notice appears in all copies. For
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 * precise terms see the accompanying LICENSE file.
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 *
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 * This software is provided "AS IS" with no warranty of any kind,
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 * express or implied, and with no claim as to its suitability for any
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 * purpose.
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 *
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 */
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///\ingroup concept
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///\file
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///\brief Classes for representing heaps.
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///
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///\brief The concept of heaps.
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#ifndef LEMON_CONCEPT_HEAP_H
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#define LEMON_CONCEPT_HEAP_H
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#include <lemon/bits/invalid.h>
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namespace lemon {
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  namespace concepts {
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    /// \addtogroup concept
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    /// @{
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    /// \brief A concept structure describes the main interface of heaps.
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    /// \brief The heap concept.
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    ///
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    /// A concept structure describes the main interface of heaps.
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    ///
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    template <typename Prio, typename ItemIntMap>
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    /// Concept class describing the main interface of heaps.
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    template <typename Priority, typename ItemIntMap>
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    class Heap {
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    public:
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      ///\brief Type of the items stored in the heap.
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      /// Type of the items stored in the heap.
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      typedef typename ItemIntMap::Key  Item;
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      /// Type of the priorities.
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      typedef Priority Prio;
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      /// \brief Type to represent the items states.
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      /// \brief Type to represent the states of the items.
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      ///
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      /// Each Item element have a state associated to it. It may be "in heap",
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      /// "pre heap" or "post heap". The later two are indifferent from the
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      /// heap's point of view, but may be useful to the user.
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      /// Each item has a state associated to it. It can be "in heap",
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      /// "pre heap" or "post heap". The later two are indifferent
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      /// from the point of view of the heap, but may be useful for
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      /// the user.
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      ///
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      /// The ItemIntMap _should_ be initialized in such way, that it maps
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      /// PRE_HEAP (-1) to any element to be put in the heap...
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      /// The \c ItemIntMap must be initialized in such a way, that it 
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      /// assigns \c PRE_HEAP (<tt>-1</tt>) to every item.
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      enum State {
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	IN_HEAP = 0,
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	PRE_HEAP = -1,
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	POST_HEAP = -2
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      };
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      /// \brief The constructor.
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      ///
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      /// The constructor.
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      /// \param _iim should be given to the constructor, since it is used
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      /// internally to handle the cross references. The value of the map
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      /// should be PRE_HEAP (-1) for each element.
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      explicit Heap(ItemIntMap &_iim) {}
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      /// \param map A map that assigns \c int values to keys of type
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      /// \c Item. It is used internally by the heap implementations to
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      /// handle the cross references. The assigned value must be
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      /// \c PRE_HEAP (<tt>-1</tt>) for every item.
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      explicit Heap(ItemIntMap &map) {}
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      /// \brief The number of items stored in the heap.
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      ///
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      /// Returns the number of items stored in the heap.
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      int size() const { return 0; }
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      /// \brief Checks if the heap stores no items.
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      /// \brief Checks if the heap is empty.
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      ///
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      /// Returns \c true if and only if the heap stores no items.
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      /// Returns \c true if the heap is empty.
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      bool empty() const { return false; }
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      /// \brief Makes empty this heap.
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      /// \brief Makes the heap empty.
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      ///
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      /// Makes this heap empty.
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      /// Makes the heap empty.
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      void clear();
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      /// \brief Insert an item into the heap with the given heap.
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      /// \brief Inserts an item into the heap with the given priority.
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      ///    
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      /// Adds \c i to the heap with priority \c p. 
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      /// Inserts the given item into the heap with the given priority. 
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      /// \param i The item to insert.
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      /// \param p The priority of the item.
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      void push(const Item &i, const Prio &p) {}
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      /// \brief Returns the item with minimum priority.
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      /// \brief Returns the item having minimum priority.
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      ///
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      /// This method returns the item with minimum priority.  
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      /// \pre The heap must be nonempty.  
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      /// Returns the item having minimum priority.
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      /// \pre The heap must be non-empty.
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      Item top() const {}
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      /// \brief Returns the minimum priority.
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      /// \brief The minimum priority.
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      ///
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      /// It returns the minimum priority.
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      /// \pre The heap must be nonempty.
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      /// Returns the minimum priority.
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      /// \pre The heap must be non-empty.
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      Prio prio() const {}
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      /// \brief Deletes the item with minimum priority.
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      /// \brief Removes the item having minimum priority.
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      ///
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      /// This method deletes the item with minimum priority.
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      /// Removes the item having minimum priority.
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      /// \pre The heap must be non-empty.  
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      void pop() {}
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      /// \brief Deletes \c i from the heap.
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      /// \brief Removes an item from the heap.
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      ///
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      /// This method deletes item \c i from the heap, if \c i was
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      /// already stored in the heap.
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      /// \param i The item to erase. 
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      /// Removes the given item from the heap if it is already stored.
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      /// \param i The item to delete. 
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      void erase(const Item &i) {}
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      /// \brief Returns the priority of \c i.
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      /// \brief The priority of an item.
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      ///
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      /// This function returns the priority of item \c i.  
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      /// Returns the priority of the given item.  
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      /// \pre \c i must be in the heap.
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      /// \param i The item.
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      Prio operator[](const Item &i) const {}
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      /// \brief \c i gets to the heap with priority \c p independently 
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      /// if \c i was already there.
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      /// \brief Sets the priority of an item or inserts it, if it is
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      /// not stored in the heap.
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      ///
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      /// This method calls \ref push(\c i, \c p) if \c i is not stored
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      /// in the heap and sets the priority of \c i to \c p otherwise.
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      /// It may throw an \e UnderFlowPriorityException. 
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      /// This method sets the priority of the given item if it is
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      /// already stored in the heap.
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      /// Otherwise it inserts the given item with the given priority.
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      ///
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      /// It may throw an \ref UnderflowPriorityException.
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      /// \param i The item.
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      /// \param p The priority.
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      void set(const Item &i, const Prio &p) {}
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      /// \brief Decreases the priority of \c i to \c p.
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      /// \brief Decreases the priority of an item to the given value.
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      ///
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      /// This method decreases the priority of item \c i to \c p.
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      /// Decreases the priority of an item to the given value.
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      /// \pre \c i must be stored in the heap with priority at least \c p.
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      /// \param i The item.
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      /// \param p The priority.
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      void decrease(const Item &i, const Prio &p) {}
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      /// \brief Increases the priority of \c i to \c p.
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      /// \brief Increases the priority of an item to the given value.
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      ///
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      /// This method sets the priority of item \c i to \c p. 
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      /// \pre \c i must be stored in the heap with priority at most \c
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      /// p relative to \c Compare.
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      /// Increases the priority of an item to the given value.
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      /// \pre \c i must be stored in the heap with priority at most \c p.
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      /// \param i The item.
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      /// \param p The priority.
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      void increase(const Item &i, const Prio &p) {}
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      /// \brief Returns if \c item is in, has already been in, or has 
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      /// \brief Returns if an item is in, has already been in, or has
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      /// never been in the heap.
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      ///
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      /// This method returns PRE_HEAP if \c item has never been in the
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      /// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP
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      /// otherwise. In the latter case it is possible that \c item will
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      /// get back to the heap again.
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      /// This method returns \c PRE_HEAP if the given item has never
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      /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
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      /// and \c POST_HEAP otherwise.
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      /// In the latter case it is possible that the item will get back
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      /// to the heap again.
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      /// \param i The item.
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      State state(const Item &i) const {}
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      /// \brief Sets the state of the \c item in the heap.
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      /// \brief Sets the state of an item in the heap.
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      ///
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      /// Sets the state of the \c item in the heap. It can be used to
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      /// manually clear the heap when it is important to achive the
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      /// Sets the state of the given item in the heap. It can be used
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      /// to manually clear the heap when it is important to achive the
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      /// better time complexity.
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      /// \param i The item.
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      /// \param st The state. It should not be \c IN_HEAP. 
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      void state(const Item& i, State st) {}
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      template <typename _Heap>
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      struct Constraints {
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      public:
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	void constraints() {
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	  typedef typename _Heap::Item OwnItem;
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	  typedef typename _Heap::Prio OwnPrio;
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	  typedef typename _Heap::State OwnState;
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	void constraints() {
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	  Item item;
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	  Prio prio;
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	  State state;
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	  item=Item();
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	  prio=Prio();
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	  ignore_unused_variable_warning(item);
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	  ignore_unused_variable_warning(prio);
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	  typedef typename _Heap::State State;
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	  State state;
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	  ignore_unused_variable_warning(state);
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	  _Heap heap1 = _Heap(map);
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	  OwnItem own_item;
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	  OwnPrio own_prio;
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	  OwnState own_state;
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	  own_item=Item();
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	  own_prio=Prio();
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	  ignore_unused_variable_warning(own_item);
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	  ignore_unused_variable_warning(own_prio);
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	  ignore_unused_variable_warning(own_state);
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	  _Heap heap1(map);
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	  _Heap heap2 = heap1;
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	  ignore_unused_variable_warning(heap1);
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	  ignore_unused_variable_warning(heap2);
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	  heap.push(item, prio);
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	  int s = heap.size();
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	  bool e = heap.empty();
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	  prio = heap.prio();
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	  item = heap.top();
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	  prio = heap[item];
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	  own_prio = heap.prio();
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	  own_item = heap.top();
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	  own_prio = heap[own_item];
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	  heap.push(item, prio);
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	  heap.push(own_item, own_prio);
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	  heap.pop();
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	  heap.set(item, prio);
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	  heap.decrease(item, prio);
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	  heap.increase(item, prio);
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	  prio = heap[item];
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	  heap.set(own_item, own_prio);
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	  heap.decrease(own_item, own_prio);
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	  heap.increase(own_item, own_prio);
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	  heap.erase(item);
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	  heap.erase(own_item);
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	  heap.clear();
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	  state = heap.state(item);
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	  heap.state(item, state);
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	  state = heap.state(own_item);
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	  heap.state(own_item, own_state);
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	  state = _Heap::PRE_HEAP;
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	  state = _Heap::IN_HEAP;
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	  state = _Heap::POST_HEAP;
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	  heap.clear();
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	  own_state = _Heap::PRE_HEAP;
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	  own_state = _Heap::IN_HEAP;
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	  own_state = _Heap::POST_HEAP;
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	}
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	_Heap& heap;
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	ItemIntMap& map;
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	Constraints() : heap(0), map(0) {}
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      };
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    };
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    /// @}
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  } // namespace lemon
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}
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#endif // LEMON_CONCEPT_PATH_H
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