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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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/// 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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/// |
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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 |
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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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/// |
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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 |
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/// \brief Checks if the heap is empty. |
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/// |
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/// Returns \c true if |
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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 |
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/// \brief Makes the heap empty. |
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/// |
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/// Makes |
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/// Makes the heap empty. |
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void clear(); |
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/// \brief |
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/// \brief Inserts an item into the heap with the given priority. |
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/// |
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/// |
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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 |
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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 |
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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 |
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/// \brief Removes the item having minimum priority. |
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/// |
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/// |
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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 |
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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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/// |
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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 |
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/// \brief The priority of an item. |
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/// |
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/// |
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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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/// |
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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 |
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/// \brief Decreases the priority of an item to the given value. |
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/// |
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/// |
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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 |
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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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/// |
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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 |
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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 |
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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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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. |
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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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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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