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 /////////////////////////////////////////////////////////////////////////////
 //
 // (C) Copyright Ion Gaztanaga 2008-2013
 //
 // Distributed under the Boost Software License, Version 1.0.
 //    (See accompanying file LICENSE_1_0.txt or copy at
 //          http://www.boost.org/LICENSE_1_0.txt)
 //
 // See http://www.boost.org/libs/intrusive for documentation.
 //
 /////////////////////////////////////////////////////////////////////////////
 #ifndef BOOST_INTRUSIVE_TREAP_HPP
 #define BOOST_INTRUSIVE_TREAP_HPP
 
 #include <boost/intrusive/detail/config_begin.hpp>
 #include <boost/intrusive/intrusive_fwd.hpp>
 
 #include <boost/intrusive/detail/assert.hpp>
 #include <boost/intrusive/bs_set_hook.hpp>
 #include <boost/intrusive/bstree.hpp>
 #include <boost/intrusive/detail/tree_node.hpp>
 #include <boost/intrusive/detail/ebo_functor_holder.hpp>
 #include <boost/intrusive/pointer_traits.hpp>
 #include <boost/intrusive/detail/get_value_traits.hpp>
 #include <boost/intrusive/detail/mpl.hpp>
 #include <boost/intrusive/treap_algorithms.hpp>
 #include <boost/intrusive/link_mode.hpp>
 #include <boost/intrusive/priority_compare.hpp>
 #include <boost/intrusive/detail/node_cloner_disposer.hpp>
 #include <boost/intrusive/detail/key_nodeptr_comp.hpp>
 
 #include <boost/move/utility_core.hpp>
 #include <boost/move/adl_move_swap.hpp>
 
 #include <cstddef>
 #include <boost/intrusive/detail/minimal_less_equal_header.hpp>
 #include <boost/intrusive/detail/minimal_pair_header.hpp>   //std::pair
 
 #if defined(BOOST_HAS_PRAGMA_ONCE)
 #  pragma once
 #endif
 
 namespace boost {
 namespace intrusive {
 
 /// @cond
 
 struct treap_defaults
    : bstree_defaults
 {
    typedef void priority;
    typedef void priority_of_value;
 };
 
 template<class ValuePtr, class VoidOrPrioOfValue, class VoidOrPrioComp>
 struct treap_prio_types
 {
    typedef typename
       boost::movelib::pointer_element<ValuePtr>::type value_type;
    typedef typename get_key_of_value
       < VoidOrPrioOfValue, value_type>::type          priority_of_value;
    typedef typename priority_of_value::type           priority_type;
    typedef typename get_prio_comp< VoidOrPrioComp
                       , priority_type
                       >::type                         priority_compare;
 };
 
 struct treap_tag;
 
 /// @endcond
 
 //! The class template treap is an intrusive treap container that
 //! is used to construct intrusive set and multiset containers. The no-throw
 //! guarantee holds only, if the key_compare object and priority_compare object
 //! don't throw.
 //!
 //! The template parameter \c T is the type to be managed by the container.
 //! The user can specify additional options and if no options are provided
 //! default options are used.
 //!
 //! The container supports the following options:
 //! \c base_hook<>/member_hook<>/value_traits<>,
 //! \c constant_time_size<>, \c size_type<>,
 //! \c compare<>, \c priority<> and \c priority_of_value<>
 #if defined(BOOST_INTRUSIVE_DOXYGEN_INVOKED)
 template<class T, class ...Options>
 #else
 template<class ValueTraits, class VoidOrKeyOfValue, class VoidOrKeyComp, class VoidOrPrioOfValue, class VoidOrPrioComp, class SizeType, bool ConstantTimeSize, typename HeaderHolder>
 #endif
 class treap_impl
    /// @cond
    : public bstree_impl<ValueTraits, VoidOrKeyOfValue, VoidOrKeyComp, SizeType, ConstantTimeSize, BsTreeAlgorithms, HeaderHolder>
    //Use public inheritance to avoid MSVC bugs with closures
    , public detail::ebo_functor_holder
          < typename treap_prio_types<typename ValueTraits::pointer, VoidOrPrioOfValue, VoidOrPrioComp>::priority_compare
          , treap_tag>
    /// @endcond
 {
    public:
    typedef ValueTraits                                               value_traits;
    /// @cond
    typedef bstree_impl< ValueTraits, VoidOrKeyOfValue, VoidOrKeyComp, SizeType
                       , ConstantTimeSize, BsTreeAlgorithms
                       , HeaderHolder>                                tree_type;
    typedef tree_type                                                 implementation_defined;
    typedef treap_prio_types
       < typename ValueTraits::pointer
       , VoidOrPrioOfValue, VoidOrPrioComp>                           treap_prio_types_t;
 
    typedef detail::ebo_functor_holder
       <typename treap_prio_types_t::priority_compare, treap_tag>     prio_base;
 
    /// @endcond
 
    typedef typename implementation_defined::pointer                  pointer;
    typedef typename implementation_defined::const_pointer            const_pointer;
    typedef typename implementation_defined::value_type               value_type;
    typedef typename implementation_defined::key_type                 key_type;
    typedef typename implementation_defined::key_of_value             key_of_value;
    typedef typename implementation_defined::reference                reference;
    typedef typename implementation_defined::const_reference          const_reference;
    typedef typename implementation_defined::difference_type          difference_type;
    typedef typename implementation_defined::size_type                size_type;
    typedef typename implementation_defined::value_compare            value_compare;
    typedef typename implementation_defined::key_compare              key_compare;
    typedef typename implementation_defined::iterator                 iterator;
    typedef typename implementation_defined::const_iterator           const_iterator;
    typedef typename implementation_defined::reverse_iterator         reverse_iterator;
    typedef typename implementation_defined::const_reverse_iterator   const_reverse_iterator;
    typedef typename implementation_defined::node_traits              node_traits;
    typedef typename implementation_defined::node                     node;
    typedef typename implementation_defined::node_ptr                 node_ptr;
    typedef typename implementation_defined::const_node_ptr           const_node_ptr;
    typedef BOOST_INTRUSIVE_IMPDEF(treap_algorithms<node_traits>)     node_algorithms;
    typedef BOOST_INTRUSIVE_IMPDEF
       (typename treap_prio_types_t::priority_type)                   priority_type;
    typedef BOOST_INTRUSIVE_IMPDEF
       (typename treap_prio_types_t::priority_of_value)               priority_of_value;
    typedef BOOST_INTRUSIVE_IMPDEF
       (typename treap_prio_types_t::priority_compare)                priority_compare;
 
    static const bool constant_time_size      = implementation_defined::constant_time_size;
    static const bool stateful_value_traits   = implementation_defined::stateful_value_traits;
    static const bool safemode_or_autounlink = is_safe_autounlink<value_traits::link_mode>::value;
 
    typedef detail::key_nodeptr_comp<priority_compare, value_traits, priority_of_value> prio_node_prio_comp_t;
 
    template<class PrioPrioComp>
    detail::key_nodeptr_comp<PrioPrioComp, value_traits, priority_of_value> prio_node_prio_comp(PrioPrioComp priopriocomp) const
    {  return detail::key_nodeptr_comp<PrioPrioComp, value_traits, priority_of_value>(priopriocomp, &this->get_value_traits());  }
 
    /// @cond
    private:
 
    //noncopyable
    BOOST_MOVABLE_BUT_NOT_COPYABLE(treap_impl)
 
    const priority_compare &priv_pcomp() const
    {  return static_cast<const prio_base&>(*this).get();  }
 
    priority_compare &priv_pcomp()
    {  return static_cast<prio_base&>(*this).get();  }
 
    /// @endcond
 
    public:
    typedef typename node_algorithms::insert_commit_data insert_commit_data;
 
    //! <b>Effects</b>: Constructs an empty container.
    //!
    //! <b>Complexity</b>: Constant.
    //!
    //! <b>Throws</b>: If value_traits::node_traits::node
    //!   constructor throws (this does not happen with predefined Boost.Intrusive hooks)
    //!   or the copy constructor of the value_compare/priority_compare objects throw. Basic guarantee.
    treap_impl()
       : tree_type(), prio_base()
    {}
 
    //! <b>Effects</b>: Constructs an empty container.
    //!
    //! <b>Complexity</b>: Constant.
    //!
    //! <b>Throws</b>: If value_traits::node_traits::node
    //!   constructor throws (this does not happen with predefined Boost.Intrusive hooks)
    //!   or the copy constructor of the value_compare/priority_compare objects throw. Basic guarantee.
    explicit treap_impl( const key_compare &cmp
                       , const priority_compare &pcmp = priority_compare()
                       , const value_traits &v_traits = value_traits())
       : tree_type(cmp, v_traits), prio_base(pcmp)
    {}
 
    //! <b>Requires</b>: Dereferencing iterator must yield an lvalue of type value_type.
    //!   cmp must be a comparison function that induces a strict weak ordering.
    //!
    //! <b>Effects</b>: Constructs an empty container and inserts elements from
    //!   [b, e).
    //!
    //! <b>Complexity</b>: Linear in N if [b, e) is already sorted using
    //!   comp and otherwise N * log N, where N is the distance between first and last.
    //!
    //! <b>Throws</b>: If value_traits::node_traits::node
    //!   constructor throws (this does not happen with predefined Boost.Intrusive hooks)
    //!   or the copy constructor/operator() of the key_compare/priority_compare objects
    //!   throw. Basic guarantee.
    template<class Iterator>
    treap_impl( bool unique, Iterator b, Iterator e
             , const key_compare &cmp     = key_compare()
             , const priority_compare &pcmp = priority_compare()
             , const value_traits &v_traits = value_traits())
       : tree_type(cmp, v_traits), prio_base(pcmp)
    {
       if(unique)
          this->insert_unique(b, e);
       else
          this->insert_equal(b, e);
    }
 
    //! @copydoc ::boost::intrusive::bstree::bstree(bstree &&)
    treap_impl(BOOST_RV_REF(treap_impl) x)
       : tree_type(BOOST_MOVE_BASE(tree_type, x))
       , prio_base(::boost::move(x.priv_pcomp()))
    {}
 
    //! @copydoc ::boost::intrusive::bstree::operator=(bstree &&)
    treap_impl& operator=(BOOST_RV_REF(treap_impl) x)
    {  this->swap(x); return *this;  }
 
    #ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
    //! @copydoc ::boost::intrusive::bstree::~bstree()
    ~treap_impl();
 
    //! @copydoc ::boost::intrusive::bstree::begin()
    iterator begin() BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::begin()const
    const_iterator begin() const BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::cbegin()const
    const_iterator cbegin() const BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::end()
    iterator end() BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::end()const
    const_iterator end() const BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::cend()const
    const_iterator cend() const BOOST_NOEXCEPT;
    #endif
 
    //! <b>Effects</b>: Returns an iterator pointing to the highest priority object of the treap.
    //!
    //! <b>Complexity</b>: Constant.
    //!
    //! <b>Throws</b>: Nothing.
    inline iterator top() BOOST_NOEXCEPT
    {  return this->tree_type::root();   }
 
    //! <b>Effects</b>: Returns a const_iterator pointing to the highest priority object of the treap..
    //!
    //! <b>Complexity</b>: Constant.
    //!
    //! <b>Throws</b>: Nothing.
    inline const_iterator top() const BOOST_NOEXCEPT
    {  return this->ctop();   }
 
    //! <b>Effects</b>: Returns a const_iterator pointing to the highest priority object of the treap..
    //!
    //! <b>Complexity</b>: Constant.
    //!
    //! <b>Throws</b>: Nothing.
    inline const_iterator ctop() const BOOST_NOEXCEPT
    {  return this->tree_type::root();   }
 
    #ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
    //! @copydoc ::boost::intrusive::bstree::rbegin()
    reverse_iterator rbegin() BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::rbegin()const
    const_reverse_iterator rbegin() const BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::crbegin()const
    const_reverse_iterator crbegin() const BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::rend()
    reverse_iterator rend() BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::rend()const
    const_reverse_iterator rend() const BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::crend()const
    const_reverse_iterator crend() const BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::root()
    iterator root() BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::root()const
    const_iterator root() const BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::croot()const
    const_iterator croot() const BOOST_NOEXCEPT;
 
    #endif
 
    //! <b>Effects</b>: Returns a reverse_iterator pointing to the highest priority object of the
    //!    reversed treap.
    //!
    //! <b>Complexity</b>: Constant.
    //!
    //! <b>Throws</b>: Nothing.
    inline reverse_iterator rtop() BOOST_NOEXCEPT
    {  return reverse_iterator(this->top());  }
 
    //! <b>Effects</b>: Returns a const_reverse_iterator pointing to the highest priority objec
    //!    of the reversed treap.
    //!
    //! <b>Complexity</b>: Constant.
    //!
    //! <b>Throws</b>: Nothing.
    inline const_reverse_iterator rtop() const BOOST_NOEXCEPT
    {  return const_reverse_iterator(this->top());  }
 
    //! <b>Effects</b>: Returns a const_reverse_iterator pointing to the highest priority object
    //!    of the reversed treap.
    //!
    //! <b>Complexity</b>: Constant.
    //!
    //! <b>Throws</b>: Nothing.
    inline const_reverse_iterator crtop() const BOOST_NOEXCEPT
    {  return const_reverse_iterator(this->top());  }
 
    #ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
    //! @copydoc ::boost::intrusive::bstree::container_from_end_iterator(iterator)
    static treap_impl &container_from_end_iterator(iterator end_iterator) BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::container_from_end_iterator(const_iterator)
    static const treap_impl &container_from_end_iterator(const_iterator end_iterator) BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::container_from_iterator(iterator)
    static treap_impl &container_from_iterator(iterator it) BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::container_from_iterator(const_iterator)
    static const treap_impl &container_from_iterator(const_iterator it) BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::key_comp()const
    key_compare key_comp() const;
 
    //! @copydoc ::boost::intrusive::bstree::value_comp()const
    value_compare value_comp() const;
 
    //! @copydoc ::boost::intrusive::bstree::empty()const
    bool empty() const BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::size()const
    size_type size() const BOOST_NOEXCEPT;
    #endif   //#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
 
    //! <b>Effects</b>: Returns the priority_compare object used by the container.
    //!
    //! <b>Complexity</b>: Constant.
    //!
    //! <b>Throws</b>: If priority_compare copy-constructor throws.
    priority_compare priority_comp() const
    {  return this->priv_pcomp();   }
 
    //! <b>Effects</b>: Swaps the contents of two treaps.
    //!
    //! <b>Complexity</b>: Constant.
    //!
    //! <b>Throws</b>: If the comparison functor's swap call throws.
    void swap(treap_impl& other)
    {
       //This can throw
       ::boost::adl_move_swap(this->priv_pcomp(), other.priv_pcomp());
       tree_type::swap(other);
    }
 
    //! <b>Requires</b>: Disposer::operator()(pointer) shouldn't throw.
    //!   Cloner should yield to nodes equivalent to the original nodes.
    //!
    //! <b>Effects</b>: Erases all the elements from *this
    //!   calling Disposer::operator()(pointer), clones all the
    //!   elements from src calling Cloner::operator()(const_reference )
    //!   and inserts them on *this. Copies the predicate from the source container.
    //!
    //!   If cloner throws, all cloned elements are unlinked and disposed
    //!   calling Disposer::operator()(pointer).
    //!
    //! <b>Complexity</b>: Linear to erased plus inserted elements.
    //!
    //! <b>Throws</b>: If cloner throws or predicate copy assignment throws. Basic guarantee.
    template <class Cloner, class Disposer>
    void clone_from(const treap_impl &src, Cloner cloner, Disposer disposer)
    {
       tree_type::clone_from(src, cloner, disposer);
       this->priv_pcomp() = src.priv_pcomp();
    }
 
    //! <b>Requires</b>: Disposer::operator()(pointer) shouldn't throw.
    //!   Cloner should yield to nodes equivalent to the original nodes.
    //!
    //! <b>Effects</b>: Erases all the elements from *this
    //!   calling Disposer::operator()(pointer), clones all the
    //!   elements from src calling Cloner::operator()(reference)
    //!   and inserts them on *this. Copies the predicate from the source container.
    //!
    //!   If cloner throws, all cloned elements are unlinked and disposed
    //!   calling Disposer::operator()(pointer).
    //!
    //! <b>Complexity</b>: Linear to erased plus inserted elements.
    //!
    //! <b>Throws</b>: If cloner throws or predicate copy assignment throws. Basic guarantee.
    template <class Cloner, class Disposer>
    void clone_from(BOOST_RV_REF(treap_impl) src, Cloner cloner, Disposer disposer)
    {
       tree_type::clone_from(BOOST_MOVE_BASE(tree_type, src), cloner, disposer);
       this->priv_pcomp() = ::boost::move(src.priv_pcomp());
    }
 
    //! <b>Requires</b>: value must be an lvalue
    //!
    //! <b>Effects</b>: Inserts value into the container before the upper bound.
    //!
    //! <b>Complexity</b>: Average complexity for insert element is at
    //!   most logarithmic.
    //!
    //! <b>Throws</b>: If the internal key_compare or priority_compare functions throw. Strong guarantee.
    //!
    //! <b>Note</b>: Does not affect the validity of iterators and references.
    //!   No copy-constructors are called.
    iterator insert_equal(reference value)
    {
       node_ptr to_insert(this->get_value_traits().to_node_ptr(value));
       BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(!safemode_or_autounlink || node_algorithms::unique(to_insert));
       iterator ret
          ( node_algorithms::insert_equal_upper_bound
             ( this->tree_type::header_ptr()
             , to_insert
             , this->key_node_comp(this->key_comp())
             , this->prio_node_prio_comp(this->priv_pcomp()))
          , this->priv_value_traits_ptr());
       this->tree_type::sz_traits().increment();
       return ret;
    }
 
    //! <b>Requires</b>: value must be an lvalue, and "hint" must be
    //!   a valid iterator.
    //!
    //! <b>Effects</b>: Inserts x into the container, using "hint" as a hint to
    //!   where it will be inserted. If "hint" is the upper_bound
    //!   the insertion takes constant time (two comparisons in the worst case)
    //!
    //! <b>Complexity</b>: Logarithmic in general, but it is amortized
    //!   constant time if t is inserted immediately before hint.
    //!
    //! <b>Throws</b>: If the internal key_compare or priority_compare functions throw. Strong guarantee.
    //!
    //! <b>Note</b>: Does not affect the validity of iterators and references.
    //!   No copy-constructors are called.
    iterator insert_equal(const_iterator hint, reference value)
    {
       node_ptr to_insert(this->get_value_traits().to_node_ptr(value));
       BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(!safemode_or_autounlink || node_algorithms::unique(to_insert));
       iterator ret
          (node_algorithms::insert_equal
             ( this->tree_type::header_ptr()
             , hint.pointed_node()
             , to_insert
             , this->key_node_comp(this->key_comp())
             , this->prio_node_prio_comp(this->priv_pcomp()))
          , this->priv_value_traits_ptr());
       this->tree_type::sz_traits().increment();
       return ret;
    }
 
    //! <b>Requires</b>: Dereferencing iterator must yield an lvalue
    //!   of type value_type.
    //!
    //! <b>Effects</b>: Inserts a each element of a range into the container
    //!   before the upper bound of the key of each element.
    //!
    //! <b>Complexity</b>: Insert range is in general O(N * log(N)), where N is the
    //!   size of the range. However, it is linear in N if the range is already sorted
    //!   by key_comp().
    //!
    //! <b>Throws</b>: If the internal key_compare or priority_compare functions throw.
    //!   Strong guarantee.
    //!
    //! <b>Note</b>: Does not affect the validity of iterators and references.
    //!   No copy-constructors are called.
    template<class Iterator>
    void insert_equal(Iterator b, Iterator e)
    {
       iterator iend(this->end());
       for (; b != e; ++b)
          this->insert_equal(iend, *b);
    }
 
    //! <b>Requires</b>: value must be an lvalue
    //!
    //! <b>Effects</b>: Inserts value into the container if the value
    //!   is not already present.
    //!
    //! <b>Complexity</b>: Average complexity for insert element is at
    //!   most logarithmic.
    //!
    //! <b>Throws</b>: If the internal key_compare or priority_compare functions throw.
    //!   Strong guarantee.
    //!
    //! <b>Note</b>: Does not affect the validity of iterators and references.
    //!   No copy-constructors are called.
    std::pair<iterator, bool> insert_unique(reference value)
    {
       insert_commit_data commit_data;
       std::pair<iterator, bool> ret = this->insert_unique_check(key_of_value()(value), priority_of_value()(value), commit_data);
       if(!ret.second)
          return ret;
       return std::pair<iterator, bool> (this->insert_unique_commit(value, commit_data), true);
    }
 
    //! <b>Requires</b>: value must be an lvalue, and "hint" must be
    //!   a valid iterator
    //!
    //! <b>Effects</b>: Tries to insert x into the container, using "hint" as a hint
    //!   to where it will be inserted.
    //!
    //! <b>Complexity</b>: Logarithmic in general, but it is amortized
    //!   constant time (two comparisons in the worst case)
    //!   if t is inserted immediately before hint.
    //!
    //! <b>Throws</b>: If the internal key_compare or priority_compare functions throw.
    //!   Strong guarantee.
    //!
    //! <b>Note</b>: Does not affect the validity of iterators and references.
    //!   No copy-constructors are called.
    iterator insert_unique(const_iterator hint, reference value)
    {
       insert_commit_data commit_data;
       std::pair<iterator, bool> ret = this->insert_unique_check(hint, key_of_value()(value), priority_of_value()(value), commit_data);
       if(!ret.second)
          return ret.first;
       return this->insert_unique_commit(value, commit_data);
    }
 
    //! <b>Requires</b>: Dereferencing iterator must yield an lvalue
    //!   of type value_type.
    //!
    //! <b>Effects</b>: Tries to insert each element of a range into the container.
    //!
    //! <b>Complexity</b>: Insert range is in general O(N * log(N)), where N is the
    //!   size of the range. However, it is linear in N if the range is already sorted
    //!   by key_comp().
    //!
    //! <b>Throws</b>: If the internal key_compare or priority_compare functions throw.
    //!   Strong guarantee.
    //!
    //! <b>Note</b>: Does not affect the validity of iterators and references.
    //!   No copy-constructors are called.
    template<class Iterator>
    void insert_unique(Iterator b, Iterator e)
    {
       if(this->empty()){
          iterator iend(this->end());
          for (; b != e; ++b)
             this->insert_unique(iend, *b);
       }
       else{
          for (; b != e; ++b)
             this->insert_unique(*b);
       }
    }
 
    //! <b>Effects</b>: Checks if a value can be inserted in the container, using
    //!   a user provided key instead of the value itself.
    //!
    //! <b>Returns</b>: If there is an equivalent value
    //!   returns a pair containing an iterator to the already present value
    //!   and false. If the value can be inserted returns true in the returned
    //!   pair boolean and fills "commit_data" that is meant to be used with
    //!   the "insert_commit" function.
    //!
    //! <b>Complexity</b>: Average complexity is at most logarithmic.
    //!
    //! <b>Throws</b>: If the comparison or predicate functions throw. Strong guarantee.
    //!
    //! <b>Notes</b>: This function is used to improve performance when constructing
    //!   a value_type is expensive: if there is an equivalent value
    //!   the constructed object must be discarded. Many times, the part of the
    //!   node that is used to impose the order is much cheaper to construct
    //!   than the value_type and this function offers the possibility to use that
    //!   part to check if the insertion will be successful.
    //!
    //!   If the check is successful, the user can construct the value_type and use
    //!   "insert_commit" to insert the object in constant-time. This gives a total
    //!   logarithmic complexity to the insertion: check(O(log(N)) + commit(O(1)).
    //!
    //!   "commit_data" remains valid for a subsequent "insert_commit" only if no more
    //!   objects are inserted or erased from the container.
    std::pair<iterator, bool> insert_unique_check
       ( const key_type &key, const priority_type &prio, insert_commit_data &commit_data)
    {  return this->insert_unique_check(key, this->key_comp(), prio, this->priv_pcomp(), commit_data); }
 
    //! <b>Effects</b>: Checks if a value can be inserted in the container, using
    //!   a user provided key instead of the value itself, using "hint"
    //!   as a hint to where it will be inserted.
    //!
    //! <b>Returns</b>: If there is an equivalent value
    //!   returns a pair containing an iterator to the already present value
    //!   and false. If the value can be inserted returns true in the returned
    //!   pair boolean and fills "commit_data" that is meant to be used with
    //!   the "insert_commit" function.
    //!
    //! <b>Complexity</b>: Logarithmic in general, but it's amortized
    //!   constant time if t is inserted immediately before hint.
    //!
    //! <b>Throws</b>: If the comparison or predicate functions throw. Strong guarantee.
    //!
    //! <b>Notes</b>: This function is used to improve performance when constructing
    //!   a value_type is expensive: if there is an equivalent value
    //!   the constructed object must be discarded. Many times, the part of the
    //!   constructing that is used to impose the order is much cheaper to construct
    //!   than the value_type and this function offers the possibility to use that key
    //!   to check if the insertion will be successful.
    //!
    //!   If the check is successful, the user can construct the value_type and use
    //!   "insert_commit" to insert the object in constant-time. This can give a total
    //!   constant-time complexity to the insertion: check(O(1)) + commit(O(1)).
    //!
    //!   "commit_data" remains valid for a subsequent "insert_commit" only if no more
    //!   objects are inserted or erased from the container.
    std::pair<iterator, bool> insert_unique_check
       ( const_iterator hint, const key_type &key, const priority_type &prio, insert_commit_data &commit_data)
    {  return this->insert_unique_check(hint, key, this->key_comp(), prio, this->priv_pcomp(), commit_data); }
 
    //! <b>Requires</b>: comp must be a comparison function that induces
    //!   the same strict weak ordering as key_compare.
    //!   prio_value_pcomp must be a comparison function that induces
    //!   the same strict weak ordering as priority_compare. The difference is that
    //!   prio_value_pcomp and comp compare an arbitrary key/priority with the contained values.
    //!
    //! <b>Effects</b>: Checks if a value can be inserted in the container, using
    //!   a user provided key instead of the value itself.
    //!
    //! <b>Returns</b>: If there is an equivalent value
    //!   returns a pair containing an iterator to the already present value
    //!   and false. If the value can be inserted returns true in the returned
    //!   pair boolean and fills "commit_data" that is meant to be used with
    //!   the "insert_commit" function.
    //!
    //! <b>Complexity</b>: Average complexity is at most logarithmic.
    //!
    //! <b>Throws</b>: If the comp or prio_value_pcomp
    //!   ordering functions throw. Strong guarantee.
    //!
    //! <b>Notes</b>: This function is used to improve performance when constructing
    //!   a value_type is expensive: if there is an equivalent value
    //!   the constructed object must be discarded. Many times, the part of the
    //!   node that is used to impose the order is much cheaper to construct
    //!   than the value_type and this function offers the possibility to use that
    //!   part to check if the insertion will be successful.
    //!
    //!   If the check is successful, the user can construct the value_type and use
    //!   "insert_commit" to insert the object in constant-time. This gives a total
    //!   logarithmic complexity to the insertion: check(O(log(N)) + commit(O(1)).
    //!
    //!   "commit_data" remains valid for a subsequent "insert_commit" only if no more
    //!   objects are inserted or erased from the container.
    template<class KeyType, class KeyTypeKeyCompare, class PrioType, class PrioValuePrioCompare>
    BOOST_INTRUSIVE_DOC1ST(std::pair<iterator BOOST_INTRUSIVE_I bool>
       , typename detail::disable_if_convertible
          <KeyType BOOST_INTRUSIVE_I const_iterator BOOST_INTRUSIVE_I 
          std::pair<iterator BOOST_INTRUSIVE_I bool> >::type)
       insert_unique_check
       ( const KeyType &key, KeyTypeKeyCompare comp
       , const PrioType &prio, PrioValuePrioCompare prio_value_pcomp, insert_commit_data &commit_data)
    {
       std::pair<node_ptr, bool> const ret =
          (node_algorithms::insert_unique_check
             ( this->tree_type::header_ptr()
             , key, this->key_node_comp(comp)
             , prio, this->prio_node_prio_comp(prio_value_pcomp)
             , commit_data));
       return std::pair<iterator, bool>(iterator(ret.first, this->priv_value_traits_ptr()), ret.second);
    }
 
    //! <b>Requires</b>: comp must be a comparison function that induces
    //!   the same strict weak ordering as key_compare.
    //!   prio_value_pcomp must be a comparison function that induces
    //!   the same strict weak ordering as priority_compare. The difference is that
    //!   prio_value_pcomp and comp compare an arbitrary key/priority with the contained values.
    //!
    //! <b>Effects</b>: Checks if a value can be inserted in the container, using
    //!   a user provided key instead of the value itself, using "hint"
    //!   as a hint to where it will be inserted.
    //!
    //! <b>Returns</b>: If there is an equivalent value
    //!   returns a pair containing an iterator to the already present value
    //!   and false. If the value can be inserted returns true in the returned
    //!   pair boolean and fills "commit_data" that is meant to be used with
    //!   the "insert_commit" function.
    //!
    //! <b>Complexity</b>: Logarithmic in general, but it's amortized
    //!   constant time if t is inserted immediately before hint.
    //!
    //! <b>Throws</b>: If the comp or prio_value_pcomp
    //!   ordering functions throw. Strong guarantee.
    //!
    //! <b>Notes</b>: This function is used to improve performance when constructing
    //!   a value_type is expensive: if there is an equivalent value
    //!   the constructed object must be discarded. Many times, the part of the
    //!   constructing that is used to impose the order is much cheaper to construct
    //!   than the value_type and this function offers the possibility to use that key
    //!   to check if the insertion will be successful.
    //!
    //!   If the check is successful, the user can construct the value_type and use
    //!   "insert_commit" to insert the object in constant-time. This can give a total
    //!   constant-time complexity to the insertion: check(O(1)) + commit(O(1)).
    //!
    //!   "commit_data" remains valid for a subsequent "insert_commit" only if no more
    //!   objects are inserted or erased from the container.
    template<class KeyType, class KeyTypeKeyCompare, class PrioType, class PrioValuePrioCompare>
    std::pair<iterator, bool> insert_unique_check
       ( const_iterator hint
       , const KeyType &key
       , KeyTypeKeyCompare comp
       , const PrioType &prio
       , PrioValuePrioCompare prio_value_pcomp
       , insert_commit_data &commit_data)
    {
       std::pair<node_ptr, bool> const ret =
          (node_algorithms::insert_unique_check
             ( this->tree_type::header_ptr(), hint.pointed_node()
             , key, this->key_node_comp(comp)
             , prio, this->prio_node_prio_comp(prio_value_pcomp)
             , commit_data));
       return std::pair<iterator, bool>(iterator(ret.first, this->priv_value_traits_ptr()), ret.second);
    }
 
    //! <b>Requires</b>: value must be an lvalue of type value_type. commit_data
    //!   must have been obtained from a previous call to "insert_check".
    //!   No objects should have been inserted or erased from the container between
    //!   the "insert_check" that filled "commit_data" and the call to "insert_commit".
    //!
    //! <b>Effects</b>: Inserts the value in the avl_set using the information obtained
    //!   from the "commit_data" that a previous "insert_check" filled.
    //!
    //! <b>Returns</b>: An iterator to the newly inserted object.
    //!
    //! <b>Complexity</b>: Constant time.
    //!
    //! <b>Throws</b>: Nothing
    //!
    //! <b>Notes</b>: This function has only sense if a "insert_check" has been
    //!   previously executed to fill "commit_data". No value should be inserted or
    //!   erased between the "insert_check" and "insert_commit" calls.
    iterator insert_unique_commit(reference value, const insert_commit_data &commit_data) BOOST_NOEXCEPT
    {
       node_ptr to_insert(this->get_value_traits().to_node_ptr(value));
       BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(!safemode_or_autounlink || node_algorithms::unique(to_insert));
       node_algorithms::insert_unique_commit(this->tree_type::header_ptr(), to_insert, commit_data);
       this->tree_type::sz_traits().increment();
       return iterator(to_insert, this->priv_value_traits_ptr());
    }
 
    //! <b>Requires</b>: value must be an lvalue, "pos" must be
    //!   a valid iterator (or end) and must be the succesor of value
    //!   once inserted according to the predicate
    //!
    //! <b>Effects</b>: Inserts x into the container before "pos".
    //!
    //! <b>Complexity</b>: Constant time.
    //!
    //! <b>Throws</b>: If the internal priority_compare function throws. Strong guarantee.
    //!
    //! <b>Note</b>: This function does not check preconditions so if "pos" is not
    //! the successor of "value" container ordering invariant will be broken.
    //! This is a low-level function to be used only for performance reasons
    //! by advanced users.
    iterator insert_before(const_iterator pos, reference value) BOOST_NOEXCEPT
    {
       node_ptr to_insert(this->get_value_traits().to_node_ptr(value));
       BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(!safemode_or_autounlink || node_algorithms::unique(to_insert));
       iterator ret
          ( node_algorithms::insert_before
             ( this->tree_type::header_ptr()
             , pos.pointed_node()
             , to_insert
             , this->prio_node_prio_comp(this->priv_pcomp())
             )
          , this->priv_value_traits_ptr());
       this->tree_type::sz_traits().increment();
       return ret;
    }
 
    //! <b>Requires</b>: value must be an lvalue, and it must be no less
    //!   than the greatest inserted key
    //!
    //! <b>Effects</b>: Inserts x into the container in the last position.
    //!
    //! <b>Complexity</b>: Constant time.
    //!
    //! <b>Throws</b>: If the internal priority_compare function throws. Strong guarantee.
    //!
    //! <b>Note</b>: This function does not check preconditions so if value is
    //!   less than the greatest inserted key container ordering invariant will be broken.
    //!   This function is slightly more efficient than using "insert_before".
    //!   This is a low-level function to be used only for performance reasons
    //!   by advanced users.
    void push_back(reference value) BOOST_NOEXCEPT
    {
       node_ptr to_insert(this->get_value_traits().to_node_ptr(value));
       BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(!safemode_or_autounlink || node_algorithms::unique(to_insert));
       node_algorithms::push_back
          (this->tree_type::header_ptr(), to_insert, this->prio_node_prio_comp(this->priv_pcomp()));
       this->tree_type::sz_traits().increment();
    }
 
    //! <b>Requires</b>: value must be an lvalue, and it must be no greater
    //!   than the minimum inserted key
    //!
    //! <b>Effects</b>: Inserts x into the container in the first position.
    //!
    //! <b>Complexity</b>: Constant time.
    //!
    //! <b>Throws</b>: If the internal priority_compare function throws. Strong guarantee.
    //!
    //! <b>Note</b>: This function does not check preconditions so if value is
    //!   greater than the minimum inserted key container ordering invariant will be broken.
    //!   This function is slightly more efficient than using "insert_before".
    //!   This is a low-level function to be used only for performance reasons
    //!   by advanced users.
    void push_front(reference value) BOOST_NOEXCEPT
    {
       node_ptr to_insert(this->get_value_traits().to_node_ptr(value));
       BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(!safemode_or_autounlink || node_algorithms::unique(to_insert));
       node_algorithms::push_front
          (this->tree_type::header_ptr(), to_insert, this->prio_node_prio_comp(this->priv_pcomp()));
       this->tree_type::sz_traits().increment();
    }
 
    //! <b>Effects</b>: Erases the element pointed to by i.
    //!
    //! <b>Complexity</b>: Average complexity for erase element is constant time.
    //!
    //! <b>Throws</b>: if the internal priority_compare function throws. Strong guarantee.
    //!
    //! <b>Note</b>: Invalidates the iterators (but not the references)
    //!    to the erased elements. No destructors are called.
    iterator erase(const_iterator i) BOOST_NOEXCEPT
    {
       const_iterator ret(i);
       ++ret;
       node_ptr to_erase(i.pointed_node());
       BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(!safemode_or_autounlink || !node_algorithms::unique(to_erase));
       node_algorithms::erase
          (this->tree_type::header_ptr(), to_erase, this->prio_node_prio_comp(this->priv_pcomp()));
       this->tree_type::sz_traits().decrement();
       BOOST_IF_CONSTEXPR(safemode_or_autounlink)
          node_algorithms::init(to_erase);
       return ret.unconst();
    }
 
    //! <b>Effects</b>: Erases the range pointed to by b end e.
    //!
    //! <b>Complexity</b>: Average complexity for erase range is at most
    //!   O(log(size() + N)), where N is the number of elements in the range.
    //!
    //! <b>Throws</b>: if the internal priority_compare function throws. Strong guarantee.
    //!
    //! <b>Note</b>: Invalidates the iterators (but not the references)
    //!    to the erased elements. No destructors are called.
    iterator erase(const_iterator b, const_iterator e) BOOST_NOEXCEPT
    {  size_type n;   return private_erase(b, e, n);   }
 
    //! <b>Effects</b>: Erases all the elements with the given value.
    //!
    //! <b>Returns</b>: The number of erased elements.
    //!
    //! <b>Complexity</b>: O(log(size() + N).
    //!
    //! <b>Throws</b>: if the internal priority_compare function throws. Strong guarantee.
    //!
    //! <b>Note</b>: Invalidates the iterators (but not the references)
    //!    to the erased elements. No destructors are called.
    size_type erase(const key_type &key)
    {  return this->erase(key, this->key_comp());   }
 
    //! <b>Effects</b>: Erases all the elements with the given key.
    //!   according to the comparison functor "comp".
    //!
    //! <b>Returns</b>: The number of erased elements.
    //!
    //! <b>Complexity</b>: O(log(size() + N).
    //!
    //! <b>Throws</b>: if the internal priority_compare function throws.
    //!   Equivalent guarantee to <i>while(beg != end) erase(beg++);</i>
    //!
    //! <b>Note</b>: Invalidates the iterators (but not the references)
    //!    to the erased elements. No destructors are called.
    template<class KeyType, class KeyTypeKeyCompare>
    BOOST_INTRUSIVE_DOC1ST(size_type
       , typename detail::disable_if_convertible<KeyTypeKeyCompare BOOST_INTRUSIVE_I const_iterator BOOST_INTRUSIVE_I size_type>::type)
       erase(const KeyType& key, KeyTypeKeyCompare comp)
    {
       std::pair<iterator,iterator> p = this->equal_range(key, comp);
       size_type n;
       private_erase(p.first, p.second, n);
       return n;
    }
 
    //! <b>Requires</b>: Disposer::operator()(pointer) shouldn't throw.
    //!
    //! <b>Effects</b>: Erases the element pointed to by i.
    //!   Disposer::operator()(pointer) is called for the removed element.
    //!
    //! <b>Complexity</b>: Average complexity for erase element is constant time.
    //!
    //! <b>Throws</b>: if the internal priority_compare function throws. Strong guarantee.
    //!
    //! <b>Note</b>: Invalidates the iterators
    //!    to the erased elements.
    template<class Disposer>
    iterator erase_and_dispose(const_iterator i, Disposer disposer) BOOST_NOEXCEPT
    {
       node_ptr to_erase(i.pointed_node());
       iterator ret(this->erase(i));
       disposer(this->get_value_traits().to_value_ptr(to_erase));
       return ret;
    }
 
    #if !defined(BOOST_INTRUSIVE_DOXYGEN_INVOKED)
    template<class Disposer>
    iterator erase_and_dispose(iterator i, Disposer disposer) BOOST_NOEXCEPT
    {  return this->erase_and_dispose(const_iterator(i), disposer);   }
    #endif
 
    //! <b>Requires</b>: Disposer::operator()(pointer) shouldn't throw.
    //!
    //! <b>Effects</b>: Erases the range pointed to by b end e.
    //!   Disposer::operator()(pointer) is called for the removed elements.
    //!
    //! <b>Complexity</b>: Average complexity for erase range is at most
    //!   O(log(size() + N)), where N is the number of elements in the range.
    //!
    //! <b>Throws</b>: if the internal priority_compare function throws. Strong guarantee.
    //!
    //! <b>Note</b>: Invalidates the iterators
    //!    to the erased elements.
    template<class Disposer>
    iterator erase_and_dispose(const_iterator b, const_iterator e, Disposer disposer) BOOST_NOEXCEPT
    {  size_type n;   return private_erase(b, e, n, disposer);   }
 
    //! <b>Requires</b>: Disposer::operator()(pointer) shouldn't throw.
    //!
    //! <b>Effects</b>: Erases all the elements with the given value.
    //!   Disposer::operator()(pointer) is called for the removed elements.
    //!
    //! <b>Returns</b>: The number of erased elements.
    //!
    //! <b>Complexity</b>: O(log(size() + N).
    //!
    //! <b>Throws</b>: if the priority_compare function throws then weak guarantee and heap invariants are broken.
    //!   The safest thing would be to clear or destroy the container.
    //!
    //! <b>Note</b>: Invalidates the iterators (but not the references)
    //!    to the erased elements. No destructors are called.
    template<class Disposer>
    size_type erase_and_dispose(const key_type &key, Disposer disposer)
    {
       std::pair<iterator,iterator> p = this->equal_range(key);
       size_type n;
       private_erase(p.first, p.second, n, disposer);
       return n;
    }
 
    //! <b>Requires</b>: Disposer::operator()(pointer) shouldn't throw.
    //!
    //! <b>Effects</b>: Erases all the elements with the given key.
    //!   according to the comparison functor "comp".
    //!   Disposer::operator()(pointer) is called for the removed elements.
    //!
    //! <b>Returns</b>: The number of erased elements.
    //!
    //! <b>Complexity</b>: O(log(size() + N).
    //!
    //! <b>Throws</b>: if the priority_compare function throws then weak guarantee and heap invariants are broken.
    //!   The safest thing would be to clear or destroy the container.
    //!
    //! <b>Note</b>: Invalidates the iterators
    //!    to the erased elements.
    template<class KeyType, class KeyTypeKeyCompare, class Disposer>
    BOOST_INTRUSIVE_DOC1ST(size_type
       , typename detail::disable_if_convertible<KeyTypeKeyCompare BOOST_INTRUSIVE_I const_iterator BOOST_INTRUSIVE_I size_type>::type)
       erase_and_dispose(const KeyType& key, KeyTypeKeyCompare comp, Disposer disposer)
    {
       std::pair<iterator,iterator> p = this->equal_range(key, comp);
       size_type n;
       private_erase(p.first, p.second, n, disposer);
       return n;
    }
 
    //! <b>Effects</b>: Erases all of the elements.
    //!
    //! <b>Complexity</b>: Linear to the number of elements on the container.
    //!   if it's a safe-mode or auto-unlink value_type. Constant time otherwise.
    //!
    //! <b>Throws</b>: Nothing.
    //!
    //! <b>Note</b>: Invalidates the iterators (but not the references)
    //!    to the erased elements. No destructors are called.
    void clear() BOOST_NOEXCEPT
    {  tree_type::clear(); }
 
    //! <b>Effects</b>: Erases all of the elements calling disposer(p) for
    //!   each node to be erased.
    //! <b>Complexity</b>: Average complexity for is at most O(log(size() + N)),
    //!   where N is the number of elements in the container.
    //!
    //! <b>Throws</b>: Nothing.
    //!
    //! <b>Note</b>: Invalidates the iterators (but not the references)
    //!    to the erased elements. Calls N times to disposer functor.
    template<class Disposer>
    void clear_and_dispose(Disposer disposer) BOOST_NOEXCEPT
    {
       node_algorithms::clear_and_dispose(this->tree_type::header_ptr()
          , detail::node_disposer<Disposer, value_traits, TreapAlgorithms>(disposer, &this->get_value_traits()));
       node_algorithms::init_header(this->tree_type::header_ptr());
       this->tree_type::sz_traits().set_size(0);
    }
 
    #if defined(BOOST_INTRUSIVE_DOXYGEN_INVOKED)
    //! @copydoc ::boost::intrusive::bstree::merge_unique
    template<class T, class ...Options2> void merge_unique(sgtree<T, Options2...> &);
    #else
    template<class Compare2>
    void merge_unique(treap_impl
       <ValueTraits, VoidOrKeyOfValue, Compare2, VoidOrPrioOfValue, VoidOrPrioComp, SizeType, ConstantTimeSize, HeaderHolder> &source)
    #endif
    {
       node_ptr it   (node_algorithms::begin_node(source.header_ptr()))
              , itend(node_algorithms::end_node  (source.header_ptr()));
 
       while(it != itend){
          node_ptr const p(it);
          BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(!safemode_or_autounlink || !node_algorithms::unique(p));
          it = node_algorithms::next_node(it);
 
          if( node_algorithms::transfer_unique
                ( this->header_ptr(), this->key_node_comp(this->key_comp())
                , this->prio_node_prio_comp(this->priv_pcomp()), source.header_ptr(), p) ){
             this->sz_traits().increment();
             source.sz_traits().decrement();
          }
       }
    }
 
    #if defined(BOOST_INTRUSIVE_DOXYGEN_INVOKED)
    //! @copydoc ::boost::intrusive::bstree::merge_equal(bstree<T, Options2...>&)
    template<class T, class ...Options2> void merge_equal(sgtree<T, Options2...> &);
    #else
    template<class Compare2>
    void merge_equal(treap_impl
       <ValueTraits, VoidOrKeyOfValue, Compare2, VoidOrPrioOfValue, VoidOrPrioComp, SizeType, ConstantTimeSize, HeaderHolder> &source)
    #endif
    {
       node_ptr it   (node_algorithms::begin_node(source.header_ptr()))
              , itend(node_algorithms::end_node  (source.header_ptr()));
 
       while(it != itend){
          node_ptr const p(it);
          BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(!safemode_or_autounlink || !node_algorithms::unique(p));
          it = node_algorithms::next_node(it);
          node_algorithms::transfer_equal
             ( this->header_ptr(), this->key_node_comp(this->key_comp())
             , this->prio_node_prio_comp(this->priv_pcomp()), source.header_ptr(), p);
          this->sz_traits().increment();
          source.sz_traits().decrement();
       }
    }
 
    //! @copydoc ::boost::intrusive::bstree::check(ExtraChecker)const
    template <class ExtraChecker>
    void check(ExtraChecker extra_checker) const
    {
       typedef detail::key_nodeptr_comp<priority_compare, value_traits, priority_of_value> nodeptr_prio_comp_t;
       tree_type::check(detail::treap_node_extra_checker
          <ValueTraits, nodeptr_prio_comp_t, ExtraChecker>
             (this->prio_node_prio_comp(this->priv_pcomp()), extra_checker));
    }
 
    //! @copydoc ::boost::intrusive::bstree::check()const
    void check() const
    {  check(detail::empty_node_checker<ValueTraits>());  }
 
    #ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
    //! @copydoc ::boost::intrusive::bstree::count(const key_type &)const
    size_type count(const key_type &key) const;
 
    //! @copydoc ::boost::intrusive::bstree::count(const KeyType&,KeyTypeKeyCompare)const
    template<class KeyType, class KeyTypeKeyCompare>
    size_type count(const KeyType& key, KeyTypeKeyCompare comp) const;
 
    //! @copydoc ::boost::intrusive::bstree::lower_bound(const key_type &)
    iterator lower_bound(const key_type &key);
 
    //! @copydoc ::boost::intrusive::bstree::lower_bound(const KeyType&,KeyTypeKeyCompare)
    template<class KeyType, class KeyTypeKeyCompare>
    iterator lower_bound(const KeyType& key, KeyTypeKeyCompare comp);
 
    //! @copydoc ::boost::intrusive::bstree::lower_bound(const key_type &)const
    const_iterator lower_bound(const key_type &key) const;
 
    //! @copydoc ::boost::intrusive::bstree::lower_bound(const KeyType&,KeyTypeKeyCompare)const
    template<class KeyType, class KeyTypeKeyCompare>
    const_iterator lower_bound(const KeyType& key, KeyTypeKeyCompare comp) const;
 
    //! @copydoc ::boost::intrusive::bstree::upper_bound(const key_type &)
    iterator upper_bound(const key_type &key);
 
    //! @copydoc ::boost::intrusive::bstree::upper_bound(const KeyType&,KeyTypeKeyCompare)
    template<class KeyType, class KeyTypeKeyCompare>
    iterator upper_bound(const KeyType& key, KeyTypeKeyCompare comp);
 
    //! @copydoc ::boost::intrusive::bstree::upper_bound(const key_type &)const
    const_iterator upper_bound(const key_type &key) const;
 
    //! @copydoc ::boost::intrusive::bstree::upper_bound(const KeyType&,KeyTypeKeyCompare)const
    template<class KeyType, class KeyTypeKeyCompare>
    const_iterator upper_bound(const KeyType& key, KeyTypeKeyCompare comp) const;
 
    //! @copydoc ::boost::intrusive::bstree::find(const key_type &)
    iterator find(const key_type &key);
 
    //! @copydoc ::boost::intrusive::bstree::find(const KeyType&,KeyTypeKeyCompare)
    template<class KeyType, class KeyTypeKeyCompare>
    iterator find(const KeyType& key, KeyTypeKeyCompare comp);
 
    //! @copydoc ::boost::intrusive::bstree::find(const key_type &)const
    const_iterator find(const key_type &key) const;
 
    //! @copydoc ::boost::intrusive::bstree::find(const KeyType&,KeyTypeKeyCompare)const
    template<class KeyType, class KeyTypeKeyCompare>
    const_iterator find(const KeyType& key, KeyTypeKeyCompare comp) const;
 
    //! @copydoc ::boost::intrusive::bstree::equal_range(const key_type &)
    std::pair<iterator,iterator> equal_range(const key_type &key);
 
    //! @copydoc ::boost::intrusive::bstree::equal_range(const KeyType&,KeyTypeKeyCompare)
    template<class KeyType, class KeyTypeKeyCompare>
    std::pair<iterator,iterator> equal_range(const KeyType& key, KeyTypeKeyCompare comp);
 
    //! @copydoc ::boost::intrusive::bstree::equal_range(const key_type &)const
    std::pair<const_iterator, const_iterator>
       equal_range(const key_type &key) const;
 
    //! @copydoc ::boost::intrusive::bstree::equal_range(const KeyType&,KeyTypeKeyCompare)const
    template<class KeyType, class KeyTypeKeyCompare>
    std::pair<const_iterator, const_iterator>
       equal_range(const KeyType& key, KeyTypeKeyCompare comp) const;
 
    //! @copydoc ::boost::intrusive::bstree::bounded_range(const key_type &,const key_type &,bool,bool)
    std::pair<iterator,iterator> bounded_range
       (const key_type &lower_key, const key_type &upper_key, bool left_closed, bool right_closed);
 
    //! @copydoc ::boost::intrusive::bstree::bounded_range(const KeyType&,const KeyType&,KeyTypeKeyCompare,bool,bool)
    template<class KeyType, class KeyTypeKeyCompare>
    std::pair<iterator,iterator> bounded_range
       (const KeyType& lower_key, const KeyType& upper_key, KeyTypeKeyCompare comp, bool left_closed, bool right_closed);
 
    //! @copydoc ::boost::intrusive::bstree::bounded_range(const key_type &,const key_type &,bool,bool)const
    std::pair<const_iterator, const_iterator>
       bounded_range(const key_type &lower_key, const key_type &upper_key, bool left_closed, bool right_closed) const;
 
    //! @copydoc ::boost::intrusive::bstree::bounded_range(const KeyType&,const KeyType&,KeyTypeKeyCompare,bool,bool)const
    template<class KeyType, class KeyTypeKeyCompare>
    std::pair<const_iterator, const_iterator> bounded_range
          (const KeyType& lower_key, const KeyType& upper_key, KeyTypeKeyCompare comp, bool left_closed, bool right_closed) const;
 
    //! @copydoc ::boost::intrusive::bstree::s_iterator_to(reference)
    static iterator s_iterator_to(reference value) BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::s_iterator_to(const_reference)
    static const_iterator s_iterator_to(const_reference value) BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::iterator_to(reference)
    iterator iterator_to(reference value) BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::iterator_to(const_reference)const
    const_iterator iterator_to(const_reference value) const BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::init_node(reference)
    static void init_node(reference value) BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::unlink_leftmost_without_rebalance
    pointer unlink_leftmost_without_rebalance() BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::replace_node
    void replace_node(iterator replace_this, reference with_this) BOOST_NOEXCEPT;
 
    //! @copydoc ::boost::intrusive::bstree::remove_node
    void remove_node(reference value) BOOST_NOEXCEPT;
 
    friend bool operator< (const treap_impl &x, const treap_impl &y);
 
    friend bool operator==(const treap_impl &x, const treap_impl &y);
 
    friend bool operator!= (const treap_impl &x, const treap_impl &y);
 
    friend bool operator>(const treap_impl &x, const treap_impl &y);
 
    friend bool operator<=(const treap_impl &x, const treap_impl &y);
 
    friend bool operator>=(const treap_impl &x, const treap_impl &y);
 
    friend void swap(treap_impl &x, treap_impl &y);
 
    #endif   //#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
 
    /// @cond
    private:
    template<class Disposer>
    iterator private_erase(const_iterator b, const_iterator e, size_type &n, Disposer disposer)
    {
       for(n = 0; b != e; ++n)
         this->erase_and_dispose(b++, disposer);
       return b.unconst();
    }
 
    iterator private_erase(const_iterator b, const_iterator e, size_type &n)
    {
       for(n = 0; b != e; ++n)
         this->erase(b++);
       return b.unconst();
    }
    /// @endcond
 };
 
 
 //! Helper metafunction to define a \c treap that yields to the same type when the
 //! same options (either explicitly or implicitly) are used.
 #if defined(BOOST_INTRUSIVE_DOXYGEN_INVOKED) || defined(BOOST_INTRUSIVE_VARIADIC_TEMPLATES)
 template<class T, class ...Options>
 #else
 template<class T, class O1 = void, class O2 = void
                 , class O3 = void, class O4 = void
                 , class O5 = void, class O6 = void
                 , class O7 = void>
 #endif
 struct make_treap
 {
    typedef typename pack_options
       < treap_defaults,
       #if !defined(BOOST_INTRUSIVE_VARIADIC_TEMPLATES)
       O1, O2, O3, O4, O5, O6, O7
       #else
       Options...
       #endif
       >::type packed_options;
 
    typedef typename detail::get_value_traits
       <T, typename packed_options::proto_value_traits>::type value_traits;
 
    typedef treap_impl
          < value_traits
          , typename packed_options::key_of_value
          , typename packed_options::compare
          , typename packed_options::priority_of_value
          , typename packed_options::priority
          , typename packed_options::size_type
          , packed_options::constant_time_size
          , typename packed_options::header_holder_type
          > implementation_defined;
    /// @endcond
    typedef implementation_defined type;
 };
 
 #ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED
 
 #if !defined(BOOST_INTRUSIVE_VARIADIC_TEMPLATES)
 template<class T, class O1, class O2, class O3, class O4, class O5, class O6, class O7>
 #else
 template<class T, class ...Options>
 #endif
 class treap
    :  public make_treap<T,
       #if !defined(BOOST_INTRUSIVE_VARIADIC_TEMPLATES)
       O1, O2, O3, O4, O5, O6, O7
       #else
       Options...
       #endif
       >::type
 {
    typedef typename make_treap
       <T,
       #if !defined(BOOST_INTRUSIVE_VARIADIC_TEMPLATES)
       O1, O2, O3, O4, O5, O6, O7
       #else
       Options...
       #endif
       >::type   Base;
    BOOST_MOVABLE_BUT_NOT_COPYABLE(treap)
 
    public:
    typedef typename Base::key_compare        key_compare;
    typedef typename Base::priority_compare   priority_compare;
    typedef typename Base::value_traits       value_traits;
    typedef typename Base::iterator           iterator;
    typedef typename Base::const_iterator     const_iterator;
    typedef typename Base::reverse_iterator           reverse_iterator;
    typedef typename Base::const_reverse_iterator     const_reverse_iterator;
 
    //Assert if passed value traits are compatible with the type
    BOOST_INTRUSIVE_STATIC_ASSERT((detail::is_same<typename value_traits::value_type, T>::value));
 
    inline treap()
       :  Base()
    {}
 
    inline explicit treap( const key_compare &cmp
                  , const priority_compare &pcmp = priority_compare()
                  , const value_traits &v_traits = value_traits())
       :  Base(cmp, pcmp, v_traits)
    {}
 
    template<class Iterator>
    inline treap( bool unique, Iterator b, Iterator e
        , const key_compare &cmp = key_compare()
        , const priority_compare &pcmp = priority_compare()
        , const value_traits &v_traits = value_traits())
       :  Base(unique, b, e, cmp, pcmp, v_traits)
    {}
 
    inline treap(BOOST_RV_REF(treap) x)
       :  Base(BOOST_MOVE_BASE(Base, x))
    {}
 
    inline treap& operator=(BOOST_RV_REF(treap) x)
    {  return static_cast<treap&>(this->Base::operator=(BOOST_MOVE_BASE(Base, x)));  }
 
    template <class Cloner, class Disposer>
    inline void clone_from(const treap &src, Cloner cloner, Disposer disposer)
    {  Base::clone_from(src, cloner, disposer);  }
 
    template <class Cloner, class Disposer>
    inline void clone_from(BOOST_RV_REF(treap) src, Cloner cloner, Disposer disposer)
    {  Base::clone_from(BOOST_MOVE_BASE(Base, src), cloner, disposer);  }
 
    inline static treap &container_from_end_iterator(iterator end_iterator) BOOST_NOEXCEPT
    {  return static_cast<treap &>(Base::container_from_end_iterator(end_iterator));   }
 
    inline static const treap &container_from_end_iterator(const_iterator end_iterator) BOOST_NOEXCEPT
    {  return static_cast<const treap &>(Base::container_from_end_iterator(end_iterator));   }
 
    inline static treap &container_from_iterator(iterator it) BOOST_NOEXCEPT
    {  return static_cast<treap &>(Base::container_from_iterator(it));   }
 
    inline static const treap &container_from_iterator(const_iterator it) BOOST_NOEXCEPT
    {  return static_cast<const treap &>(Base::container_from_iterator(it));   }
 };
 
 #endif
 
 } //namespace intrusive
 } //namespace boost
 
 #include <boost/intrusive/detail/config_end.hpp>
 
 #endif //BOOST_INTRUSIVE_TREAP_HPP

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