include/set

// -*- C++ -*-
//===---------------------------- set -------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is dual licensed under the MIT and the University of Illinois Open
// Source Licenses. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//

#ifndef _LIBCPP_SET
#define _LIBCPP_SET

/*

 set synopsis

namespace std
{

template <class Key, class Compare = less<Key>,
 class Allocator = allocator<Key>>
class set
{
public:
 // types:
 typedef Key key_type;
 typedef key_type value_type;
 typedef Compare key_compare;
 typedef key_compare value_compare;
 typedef Allocator allocator_type;
 typedef typename allocator_type::reference reference;
 typedef typename allocator_type::const_reference const_reference;
 typedef typename allocator_type::size_type size_type;
 typedef typename allocator_type::difference_type difference_type;
 typedef typename allocator_type::pointer pointer;
 typedef typename allocator_type::const_pointer const_pointer;

 typedef implementation-defined iterator;
 typedef implementation-defined const_iterator;
 typedef std::reverse_iterator<iterator> reverse_iterator;
 typedef std::reverse_iterator<const_iterator> const_reverse_iterator;

 // construct/copy/destroy:
 set()
 noexcept(
 is_nothrow_default_constructible<allocator_type>::value &&
 is_nothrow_default_constructible<key_compare>::value &&
 is_nothrow_copy_constructible<key_compare>::value);
 explicit set(const value_compare& comp);
 set(const value_compare& comp, const allocator_type& a);
 template <class InputIterator>
 set(InputIterator first, InputIterator last,
 const value_compare& comp = value_compare());
 template <class InputIterator>
 set(InputIterator first, InputIterator last, const value_compare& comp,
 const allocator_type& a);
 set(const set& s);
 set(set&& s)
 noexcept(
 is_nothrow_move_constructible<allocator_type>::value &&
 is_nothrow_move_constructible<key_compare>::value);
 explicit set(const allocator_type& a);
 set(const set& s, const allocator_type& a);
 set(set&& s, const allocator_type& a);
 set(initializer_list<value_type> il, const value_compare& comp = value_compare());
 set(initializer_list<value_type> il, const value_compare& comp,
 const allocator_type& a);
 template <class InputIterator>
 set(InputIterator first, InputIterator last, const allocator_type& a)
 : set(first, last, Compare(), a) {} // C++14
 set(initializer_list<value_type> il, const allocator_type& a)
 : set(il, Compare(), a) {} // C++14
 ~set();

 set& operator=(const set& s);
 set& operator=(set&& s)
 noexcept(
 allocator_type::propagate_on_container_move_assignment::value &&
 is_nothrow_move_assignable<allocator_type>::value &&
 is_nothrow_move_assignable<key_compare>::value);
 set& operator=(initializer_list<value_type> il);

 // iterators:
 iterator begin() noexcept;
 const_iterator begin() const noexcept;
 iterator end() noexcept;
 const_iterator end() const noexcept;

 reverse_iterator rbegin() noexcept;
 const_reverse_iterator rbegin() const noexcept;
 reverse_iterator rend() noexcept;
 const_reverse_iterator rend() const noexcept;

 const_iterator cbegin() const noexcept;
 const_iterator cend() const noexcept;
 const_reverse_iterator crbegin() const noexcept;
 const_reverse_iterator crend() const noexcept;

 // capacity:
 bool empty() const noexcept;
 size_type size() const noexcept;
 size_type max_size() const noexcept;

 // modifiers:
 template <class... Args>
 pair<iterator, bool> emplace(Args&&... args);
 template <class... Args>
 iterator emplace_hint(const_iterator position, Args&&... args);
 pair<iterator,bool> insert(const value_type& v);
 pair<iterator,bool> insert(value_type&& v);
 iterator insert(const_iterator position, const value_type& v);
 iterator insert(const_iterator position, value_type&& v);
 template <class InputIterator>
 void insert(InputIterator first, InputIterator last);
 void insert(initializer_list<value_type> il);

 iterator erase(const_iterator position);
 size_type erase(const key_type& k);
 iterator erase(const_iterator first, const_iterator last);
 void clear() noexcept;

 void swap(set& s)
 noexcept(
 __is_nothrow_swappable<key_compare>::value &&
 (!allocator_type::propagate_on_container_swap::value ||
 __is_nothrow_swappable<allocator_type>::value));

 // observers:
 allocator_type get_allocator() const noexcept;
 key_compare key_comp() const;
 value_compare value_comp() const;

 // set operations:
 iterator find(const key_type& k);
 const_iterator find(const key_type& k) const;
 template<typename K>
 iterator find(const K& x);
 template<typename K>
 const_iterator find(const K& x) const; // C++14
 template<typename K>
 size_type count(const K& x) const; // C++14

 size_type count(const key_type& k) const;
 iterator lower_bound(const key_type& k);
 const_iterator lower_bound(const key_type& k) const;
 template<typename K>
 iterator lower_bound(const K& x); // C++14
 template<typename K>
 const_iterator lower_bound(const K& x) const; // C++14

 iterator upper_bound(const key_type& k);
 const_iterator upper_bound(const key_type& k) const;
 template<typename K>
 iterator upper_bound(const K& x); // C++14
 template<typename K>
 const_iterator upper_bound(const K& x) const; // C++14
 pair<iterator,iterator> equal_range(const key_type& k);
 pair<const_iterator,const_iterator> equal_range(const key_type& k) const;
 template<typename K>
 pair<iterator,iterator> equal_range(const K& x); // C++14
 template<typename K>
 pair<const_iterator,const_iterator> equal_range(const K& x) const; // C++14
};

template <class Key, class Compare, class Allocator>
bool
operator==(const set<Key, Compare, Allocator>& x,
 const set<Key, Compare, Allocator>& y);

template <class Key, class Compare, class Allocator>
bool
operator< (const set<Key, Compare, Allocator>& x,
 const set<Key, Compare, Allocator>& y);

template <class Key, class Compare, class Allocator>
bool
operator!=(const set<Key, Compare, Allocator>& x,
 const set<Key, Compare, Allocator>& y);

template <class Key, class Compare, class Allocator>
bool
operator> (const set<Key, Compare, Allocator>& x,
 const set<Key, Compare, Allocator>& y);

template <class Key, class Compare, class Allocator>
bool
operator>=(const set<Key, Compare, Allocator>& x,
 const set<Key, Compare, Allocator>& y);

template <class Key, class Compare, class Allocator>
bool
operator<=(const set<Key, Compare, Allocator>& x,
 const set<Key, Compare, Allocator>& y);

// specialized algorithms:
template <class Key, class Compare, class Allocator>
void
swap(set<Key, Compare, Allocator>& x, set<Key, Compare, Allocator>& y)
 noexcept(noexcept(x.swap(y)));

template <class Key, class Compare = less<Key>,
 class Allocator = allocator<Key>>
class multiset
{
public:
 // types:
 typedef Key key_type;
 typedef key_type value_type;
 typedef Compare key_compare;
 typedef key_compare value_compare;
 typedef Allocator allocator_type;
 typedef typename allocator_type::reference reference;
 typedef typename allocator_type::const_reference const_reference;
 typedef typename allocator_type::size_type size_type;
 typedef typename allocator_type::difference_type difference_type;
 typedef typename allocator_type::pointer pointer;
 typedef typename allocator_type::const_pointer const_pointer;

 typedef implementation-defined iterator;
 typedef implementation-defined const_iterator;
 typedef std::reverse_iterator<iterator> reverse_iterator;
 typedef std::reverse_iterator<const_iterator> const_reverse_iterator;

 // construct/copy/destroy:
 multiset()
 noexcept(
 is_nothrow_default_constructible<allocator_type>::value &&
 is_nothrow_default_constructible<key_compare>::value &&
 is_nothrow_copy_constructible<key_compare>::value);
 explicit multiset(const value_compare& comp);
 multiset(const value_compare& comp, const allocator_type& a);
 template <class InputIterator>
 multiset(InputIterator first, InputIterator last,
 const value_compare& comp = value_compare());
 template <class InputIterator>
 multiset(InputIterator first, InputIterator last,
 const value_compare& comp, const allocator_type& a);
 multiset(const multiset& s);
 multiset(multiset&& s)
 noexcept(
 is_nothrow_move_constructible<allocator_type>::value &&
 is_nothrow_move_constructible<key_compare>::value);
 explicit multiset(const allocator_type& a);
 multiset(const multiset& s, const allocator_type& a);
 multiset(multiset&& s, const allocator_type& a);
 multiset(initializer_list<value_type> il, const value_compare& comp = value_compare());
 multiset(initializer_list<value_type> il, const value_compare& comp,
 const allocator_type& a);
 template <class InputIterator>
 multiset(InputIterator first, InputIterator last, const allocator_type& a)
 : set(first, last, Compare(), a) {} // C++14
 multiset(initializer_list<value_type> il, const allocator_type& a)
 : set(il, Compare(), a) {} // C++14
 ~multiset();

 multiset& operator=(const multiset& s);
 multiset& operator=(multiset&& s)
 noexcept(
 allocator_type::propagate_on_container_move_assignment::value &&
 is_nothrow_move_assignable<allocator_type>::value &&
 is_nothrow_move_assignable<key_compare>::value);
 multiset& operator=(initializer_list<value_type> il);

 // iterators:
 iterator begin() noexcept;
 const_iterator begin() const noexcept;
 iterator end() noexcept;
 const_iterator end() const noexcept;

 reverse_iterator rbegin() noexcept;
 const_reverse_iterator rbegin() const noexcept;
 reverse_iterator rend() noexcept;
 const_reverse_iterator rend() const noexcept;

 const_iterator cbegin() const noexcept;
 const_iterator cend() const noexcept;
 const_reverse_iterator crbegin() const noexcept;
 const_reverse_iterator crend() const noexcept;

 // capacity:
 bool empty() const noexcept;
 size_type size() const noexcept;
 size_type max_size() const noexcept;

 // modifiers:
 template <class... Args>
 iterator emplace(Args&&... args);
 template <class... Args>
 iterator emplace_hint(const_iterator position, Args&&... args);
 iterator insert(const value_type& v);
 iterator insert(value_type&& v);
 iterator insert(const_iterator position, const value_type& v);
 iterator insert(const_iterator position, value_type&& v);
 template <class InputIterator>
 void insert(InputIterator first, InputIterator last);
 void insert(initializer_list<value_type> il);

 iterator erase(const_iterator position);
 size_type erase(const key_type& k);
 iterator erase(const_iterator first, const_iterator last);
 void clear() noexcept;

 void swap(multiset& s)
 noexcept(
 __is_nothrow_swappable<key_compare>::value &&
 (!allocator_type::propagate_on_container_swap::value ||
 __is_nothrow_swappable<allocator_type>::value));

 // observers:
 allocator_type get_allocator() const noexcept;
 key_compare key_comp() const;
 value_compare value_comp() const;

 // set operations:
 iterator find(const key_type& k);
 const_iterator find(const key_type& k) const;
 template<typename K>
 iterator find(const K& x);
 template<typename K>
 const_iterator find(const K& x) const; // C++14

 size_type count(const key_type& k) const;
 iterator lower_bound(const key_type& k);
 const_iterator lower_bound(const key_type& k) const;
 template<typename K>
 iterator lower_bound(const K& x); // C++14
 template<typename K>
 const_iterator lower_bound(const K& x) const; // C++14

 iterator upper_bound(const key_type& k);
 const_iterator upper_bound(const key_type& k) const;
 template<typename K>
 iterator upper_bound(const K& x); // C++14
 template<typename K>
 const_iterator upper_bound(const K& x) const; // C++14

 pair<iterator,iterator> equal_range(const key_type& k);
 pair<const_iterator,const_iterator> equal_range(const key_type& k) const;
 template<typename K>
 pair<iterator,iterator> equal_range(const K& x); // C++14
 template<typename K>
 pair<const_iterator,const_iterator> equal_range(const K& x) const; // C++14
};

template <class Key, class Compare, class Allocator>
bool
operator==(const multiset<Key, Compare, Allocator>& x,
 const multiset<Key, Compare, Allocator>& y);

template <class Key, class Compare, class Allocator>
bool
operator< (const multiset<Key, Compare, Allocator>& x,
 const multiset<Key, Compare, Allocator>& y);

template <class Key, class Compare, class Allocator>
bool
operator!=(const multiset<Key, Compare, Allocator>& x,
 const multiset<Key, Compare, Allocator>& y);

template <class Key, class Compare, class Allocator>
bool
operator> (const multiset<Key, Compare, Allocator>& x,
 const multiset<Key, Compare, Allocator>& y);

template <class Key, class Compare, class Allocator>
bool
operator>=(const multiset<Key, Compare, Allocator>& x,
 const multiset<Key, Compare, Allocator>& y);

template <class Key, class Compare, class Allocator>
bool
operator<=(const multiset<Key, Compare, Allocator>& x,
 const multiset<Key, Compare, Allocator>& y);

// specialized algorithms:
template <class Key, class Compare, class Allocator>
void
swap(multiset<Key, Compare, Allocator>& x, multiset<Key, Compare, Allocator>& y)
 noexcept(noexcept(x.swap(y)));

} // std

*/

#include <__config>
#include <__tree>
#include <functional>

#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
#pragma GCC system_header
#endif

_LIBCPP_BEGIN_NAMESPACE_STD

template <class _Key, class _Compare = less<_Key>,
 class _Allocator = allocator<_Key> >
class _LIBCPP_TYPE_VIS_ONLY set
{
public:
 // types:
 typedef _Key key_type;
 typedef key_type value_type;
 typedef _Compare key_compare;
 typedef key_compare value_compare;
 typedef _Allocator allocator_type;
 typedef value_type& reference;
 typedef const value_type& const_reference;

private:
 typedef __tree<value_type, value_compare, allocator_type> __base;
 typedef allocator_traits<allocator_type> __alloc_traits;
 typedef typename __base::__node_holder __node_holder;

 __base __tree_;

public:
 typedef typename __base::pointer pointer;
 typedef typename __base::const_pointer const_pointer;
 typedef typename __base::size_type size_type;
 typedef typename __base::difference_type difference_type;
 typedef typename __base::const_iterator iterator;
 typedef typename __base::const_iterator const_iterator;
 typedef _VSTD::reverse_iterator<iterator> reverse_iterator;
 typedef _VSTD::reverse_iterator<const_iterator> const_reverse_iterator;

 _LIBCPP_INLINE_VISIBILITY
 explicit set(const value_compare& __comp = value_compare())
 _NOEXCEPT_(
 is_nothrow_default_constructible<allocator_type>::value &&
 is_nothrow_default_constructible<key_compare>::value &&
 is_nothrow_copy_constructible<key_compare>::value)
 : __tree_(__comp) {}
 _LIBCPP_INLINE_VISIBILITY
 set(const value_compare& __comp, const allocator_type& __a)
 : __tree_(__comp, __a) {}
 template <class _InputIterator>
 _LIBCPP_INLINE_VISIBILITY
 set(_InputIterator __f, _InputIterator __l,
 const value_compare& __comp = value_compare())
 : __tree_(__comp)
 {
 insert(__f, __l);
 }

 template <class _InputIterator>
 _LIBCPP_INLINE_VISIBILITY
 set(_InputIterator __f, _InputIterator __l, const value_compare& __comp,
 const allocator_type& __a)
 : __tree_(__comp, __a)
 {
 insert(__f, __l);
 }

#if _LIBCPP_STD_VER > 11
 template <class _InputIterator>
 _LIBCPP_INLINE_VISIBILITY 
 set(_InputIterator __f, _InputIterator __l, const allocator_type& __a)
 : set(__f, __l, key_compare(), __a) {}
#endif

 _LIBCPP_INLINE_VISIBILITY
 set(const set& __s)
 : __tree_(__s.__tree_)
 {
 insert(__s.begin(), __s.end());
 }

 _LIBCPP_INLINE_VISIBILITY
 set& operator=(const set& __s)
 {
 __tree_ = __s.__tree_;
 return *this;
 }

#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
 _LIBCPP_INLINE_VISIBILITY
 set(set&& __s)
 _NOEXCEPT_(is_nothrow_move_constructible<__base>::value)
 : __tree_(_VSTD::move(__s.__tree_)) {}
#endif // _LIBCPP_HAS_NO_RVALUE_REFERENCES

 _LIBCPP_INLINE_VISIBILITY
 explicit set(const allocator_type& __a)
 : __tree_(__a) {}

 _LIBCPP_INLINE_VISIBILITY
 set(const set& __s, const allocator_type& __a)
 : __tree_(__s.__tree_.value_comp(), __a)
 {
 insert(__s.begin(), __s.end());
 }

#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
 set(set&& __s, const allocator_type& __a);
#endif

#ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
 _LIBCPP_INLINE_VISIBILITY
 set(initializer_list<value_type> __il, const value_compare& __comp = value_compare())
 : __tree_(__comp)
 {
 insert(__il.begin(), __il.end());
 }

 _LIBCPP_INLINE_VISIBILITY
 set(initializer_list<value_type> __il, const value_compare& __comp,
 const allocator_type& __a)
 : __tree_(__comp, __a)
 {
 insert(__il.begin(), __il.end());
 }

#if _LIBCPP_STD_VER > 11
 _LIBCPP_INLINE_VISIBILITY 
 set(initializer_list<value_type> __il, const allocator_type& __a)
 : set(__il, key_compare(), __a) {}
#endif

 _LIBCPP_INLINE_VISIBILITY
 set& operator=(initializer_list<value_type> __il)
 {
 __tree_.__assign_unique(__il.begin(), __il.end());
 return *this;
 }
#endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS

#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
 _LIBCPP_INLINE_VISIBILITY
 set& operator=(set&& __s)
 _NOEXCEPT_(is_nothrow_move_assignable<__base>::value)
 {
 __tree_ = _VSTD::move(__s.__tree_);
 return *this;
 }
#endif // _LIBCPP_HAS_NO_RVALUE_REFERENCES

 _LIBCPP_INLINE_VISIBILITY
 iterator begin() _NOEXCEPT {return __tree_.begin();}
 _LIBCPP_INLINE_VISIBILITY
 const_iterator begin() const _NOEXCEPT {return __tree_.begin();}
 _LIBCPP_INLINE_VISIBILITY
 iterator end() _NOEXCEPT {return __tree_.end();}
 _LIBCPP_INLINE_VISIBILITY
 const_iterator end() const _NOEXCEPT {return __tree_.end();}

 _LIBCPP_INLINE_VISIBILITY
 reverse_iterator rbegin() _NOEXCEPT
 {return reverse_iterator(end());}
 _LIBCPP_INLINE_VISIBILITY
 const_reverse_iterator rbegin() const _NOEXCEPT
 {return const_reverse_iterator(end());}
 _LIBCPP_INLINE_VISIBILITY
 reverse_iterator rend() _NOEXCEPT
 {return reverse_iterator(begin());}
 _LIBCPP_INLINE_VISIBILITY
 const_reverse_iterator rend() const _NOEXCEPT
 {return const_reverse_iterator(begin());}

 _LIBCPP_INLINE_VISIBILITY
 const_iterator cbegin() const _NOEXCEPT {return begin();}
 _LIBCPP_INLINE_VISIBILITY
 const_iterator cend() const _NOEXCEPT {return end();}
 _LIBCPP_INLINE_VISIBILITY
 const_reverse_iterator crbegin() const _NOEXCEPT {return rbegin();}
 _LIBCPP_INLINE_VISIBILITY
 const_reverse_iterator crend() const _NOEXCEPT {return rend();}

 _LIBCPP_INLINE_VISIBILITY
 bool empty() const _NOEXCEPT {return __tree_.size() == 0;}
 _LIBCPP_INLINE_VISIBILITY
 size_type size() const _NOEXCEPT {return __tree_.size();}
 _LIBCPP_INLINE_VISIBILITY
 size_type max_size() const _NOEXCEPT {return __tree_.max_size();}

 // modifiers:
#if !defined(_LIBCPP_HAS_NO_RVALUE_REFERENCES) && !defined(_LIBCPP_HAS_NO_VARIADICS)
 template <class... _Args>
 _LIBCPP_INLINE_VISIBILITY
 pair<iterator, bool> emplace(_Args&&... __args)
 {return __tree_.__emplace_unique(_VSTD::forward<_Args>(__args)...);}
 template <class... _Args>
 _LIBCPP_INLINE_VISIBILITY
 iterator emplace_hint(const_iterator __p, _Args&&... __args)
 {return __tree_.__emplace_hint_unique(__p, _VSTD::forward<_Args>(__args)...);}
#endif // !defined(_LIBCPP_HAS_NO_RVALUE_REFERENCES) && !defined(_LIBCPP_HAS_NO_VARIADICS)
 _LIBCPP_INLINE_VISIBILITY
 pair<iterator,bool> insert(const value_type& __v)
 {return __tree_.__insert_unique(__v);}
#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
 _LIBCPP_INLINE_VISIBILITY
 pair<iterator,bool> insert(value_type&& __v)
 {return __tree_.__insert_unique(_VSTD::move(__v));}
#endif // _LIBCPP_HAS_NO_RVALUE_REFERENCES
 _LIBCPP_INLINE_VISIBILITY
 iterator insert(const_iterator __p, const value_type& __v)
 {return __tree_.__insert_unique(__p, __v);}
#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
 _LIBCPP_INLINE_VISIBILITY
 iterator insert(const_iterator __p, value_type&& __v)
 {return __tree_.__insert_unique(__p, _VSTD::move(__v));}
#endif // _LIBCPP_HAS_NO_RVALUE_REFERENCES
 template <class _InputIterator>
 _LIBCPP_INLINE_VISIBILITY
 void insert(_InputIterator __f, _InputIterator __l)
 {
 for (const_iterator __e = cend(); __f != __l; ++__f)
 __tree_.__insert_unique(__e, *__f);
 }

#ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
 _LIBCPP_INLINE_VISIBILITY
 void insert(initializer_list<value_type> __il)
 {insert(__il.begin(), __il.end());}
#endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS

 _LIBCPP_INLINE_VISIBILITY
 iterator erase(const_iterator __p) {return __tree_.erase(__p);}
 _LIBCPP_INLINE_VISIBILITY
 size_type erase(const key_type& __k)
 {return __tree_.__erase_unique(__k);}
 _LIBCPP_INLINE_VISIBILITY
 iterator erase(const_iterator __f, const_iterator __l)
 {return __tree_.erase(__f, __l);}
 _LIBCPP_INLINE_VISIBILITY
 void clear() _NOEXCEPT {__tree_.clear();}

 _LIBCPP_INLINE_VISIBILITY
 void swap(set& __s) _NOEXCEPT_(__is_nothrow_swappable<__base>::value)
 {__tree_.swap(__s.__tree_);}

 _LIBCPP_INLINE_VISIBILITY
 allocator_type get_allocator() const _NOEXCEPT {return __tree_.__alloc();}
 _LIBCPP_INLINE_VISIBILITY
 key_compare key_comp() const {return __tree_.value_comp();}
 _LIBCPP_INLINE_VISIBILITY
 value_compare value_comp() const {return __tree_.value_comp();}

 // set operations:
 _LIBCPP_INLINE_VISIBILITY
 iterator find(const key_type& __k) {return __tree_.find(__k);}
 _LIBCPP_INLINE_VISIBILITY
 const_iterator find(const key_type& __k) const {return __tree_.find(__k);}
#if _LIBCPP_STD_VER > 11
 template <typename _K2>
 _LIBCPP_INLINE_VISIBILITY
 typename enable_if<__is_transparent<_Compare, _K2>::value,iterator>::type
 find(const _K2& __k) {return __tree_.find(__k);}
 template <typename _K2>
 _LIBCPP_INLINE_VISIBILITY
 typename enable_if<__is_transparent<_Compare, _K2>::value,const_iterator>::type
 find(const _K2& __k) const {return __tree_.find(__k);}
#endif

 _LIBCPP_INLINE_VISIBILITY
 size_type count(const key_type& __k) const
 {return __tree_.__count_unique(__k);}
 _LIBCPP_INLINE_VISIBILITY
 iterator lower_bound(const key_type& __k)
 {return __tree_.lower_bound(__k);}
 _LIBCPP_INLINE_VISIBILITY
 const_iterator lower_bound(const key_type& __k) const
 {return __tree_.lower_bound(__k);}
#if _LIBCPP_STD_VER > 11
 template <typename _K2>
 _LIBCPP_INLINE_VISIBILITY
 typename enable_if<__is_transparent<_Compare, _K2>::value,iterator>::type
 lower_bound(const _K2& __k) {return __tree_.lower_bound(__k);}

 template <typename _K2>
 _LIBCPP_INLINE_VISIBILITY
 typename enable_if<__is_transparent<_Compare, _K2>::value,const_iterator>::type
 lower_bound(const _K2& __k) const {return __tree_.lower_bound(__k);}
#endif

 _LIBCPP_INLINE_VISIBILITY
 iterator upper_bound(const key_type& __k)
 {return __tree_.upper_bound(__k);}
 _LIBCPP_INLINE_VISIBILITY
 const_iterator upper_bound(const key_type& __k) const
 {return __tree_.upper_bound(__k);}
#if _LIBCPP_STD_VER > 11
 template <typename _K2>
 _LIBCPP_INLINE_VISIBILITY
 typename enable_if<__is_transparent<_Compare, _K2>::value,iterator>::type
 upper_bound(const _K2& __k) {return __tree_.upper_bound(__k);}
 template <typename _K2>
 _LIBCPP_INLINE_VISIBILITY
 typename enable_if<__is_transparent<_Compare, _K2>::value,const_iterator>::type
 upper_bound(const _K2& __k) const {return __tree_.upper_bound(__k);}
#endif

 _LIBCPP_INLINE_VISIBILITY
 pair<iterator,iterator> equal_range(const key_type& __k)
 {return __tree_.__equal_range_unique(__k);}
 _LIBCPP_INLINE_VISIBILITY
 pair<const_iterator,const_iterator> equal_range(const key_type& __k) const
 {return __tree_.__equal_range_unique(__k);}
#if _LIBCPP_STD_VER > 11
 template <typename _K2>
 _LIBCPP_INLINE_VISIBILITY
 typename enable_if<__is_transparent<_Compare, _K2>::value,pair<iterator,iterator>>::type
 equal_range(const _K2& __k) {return __tree_.__equal_range_unique(__k);}
 template <typename _K2>
 _LIBCPP_INLINE_VISIBILITY
 typename enable_if<__is_transparent<_Compare, _K2>::value,pair<const_iterator,const_iterator>>::type
 equal_range(const _K2& __k) const {return __tree_.__equal_range_unique(__k);}
#endif
};

#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES

template <class _Key, class _Compare, class _Allocator>
set<_Key, _Compare, _Allocator>::set(set&& __s, const allocator_type& __a)
 : __tree_(_VSTD::move(__s.__tree_), __a)
{
 if (__a != __s.get_allocator())
 {
 const_iterator __e = cend();
 while (!__s.empty())
 insert(__e, _VSTD::move(__s.__tree_.remove(__s.begin())->__value_));
 }
}

#endif // _LIBCPP_HAS_NO_RVALUE_REFERENCES

template <class _Key, class _Compare, class _Allocator>
inline _LIBCPP_INLINE_VISIBILITY
bool
operator==(const set<_Key, _Compare, _Allocator>& __x,
 const set<_Key, _Compare, _Allocator>& __y)
{
 return __x.size() == __y.size() && _VSTD::equal(__x.begin(), __x.end(), __y.begin());
}

template <class _Key, class _Compare, class _Allocator>
inline _LIBCPP_INLINE_VISIBILITY
bool
operator< (const set<_Key, _Compare, _Allocator>& __x,
 const set<_Key, _Compare, _Allocator>& __y)
{
 return _VSTD::lexicographical_compare(__x.begin(), __x.end(), __y.begin(), __y.end());
}

template <class _Key, class _Compare, class _Allocator>
inline _LIBCPP_INLINE_VISIBILITY
bool
operator!=(const set<_Key, _Compare, _Allocator>& __x,
 const set<_Key, _Compare, _Allocator>& __y)
{
 return !(__x == __y);
}

template <class _Key, class _Compare, class _Allocator>
inline _LIBCPP_INLINE_VISIBILITY
bool
operator> (const set<_Key, _Compare, _Allocator>& __x,
 const set<_Key, _Compare, _Allocator>& __y)
{
 return __y < __x;
}

template <class _Key, class _Compare, class _Allocator>
inline _LIBCPP_INLINE_VISIBILITY
bool
operator>=(const set<_Key, _Compare, _Allocator>& __x,
 const set<_Key, _Compare, _Allocator>& __y)
{
 return !(__x < __y);
}

template <class _Key, class _Compare, class _Allocator>
inline _LIBCPP_INLINE_VISIBILITY
bool
operator<=(const set<_Key, _Compare, _Allocator>& __x,
 const set<_Key, _Compare, _Allocator>& __y)
{
 return !(__y < __x);
}

// specialized algorithms:
template <class _Key, class _Compare, class _Allocator>
inline _LIBCPP_INLINE_VISIBILITY
void
swap(set<_Key, _Compare, _Allocator>& __x,
 set<_Key, _Compare, _Allocator>& __y)
 _NOEXCEPT_(_NOEXCEPT_(__x.swap(__y)))
{
 __x.swap(__y);
}

template <class _Key, class _Compare = less<_Key>,
 class _Allocator = allocator<_Key> >
class _LIBCPP_TYPE_VIS_ONLY multiset
{
public:
 // types:
 typedef _Key key_type;
 typedef key_type value_type;
 typedef _Compare key_compare;
 typedef key_compare value_compare;
 typedef _Allocator allocator_type;
 typedef value_type& reference;
 typedef const value_type& const_reference;

private:
 typedef __tree<value_type, value_compare, allocator_type> __base;
 typedef allocator_traits<allocator_type> __alloc_traits;
 typedef typename __base::__node_holder __node_holder;

 __base __tree_;

public:
 typedef typename __base::pointer pointer;
 typedef typename __base::const_pointer const_pointer;
 typedef typename __base::size_type size_type;
 typedef typename __base::difference_type difference_type;
 typedef typename __base::const_iterator iterator;
 typedef typename __base::const_iterator const_iterator;
 typedef _VSTD::reverse_iterator<iterator> reverse_iterator;
 typedef _VSTD::reverse_iterator<const_iterator> const_reverse_iterator;

 // construct/copy/destroy:
 _LIBCPP_INLINE_VISIBILITY
 explicit multiset(const value_compare& __comp = value_compare())
 _NOEXCEPT_(
 is_nothrow_default_constructible<allocator_type>::value &&
 is_nothrow_default_constructible<key_compare>::value &&
 is_nothrow_copy_constructible<key_compare>::value)
 : __tree_(__comp) {}
 _LIBCPP_INLINE_VISIBILITY
 multiset(const value_compare& __comp, const allocator_type& __a)
 : __tree_(__comp, __a) {}
 template <class _InputIterator>
 _LIBCPP_INLINE_VISIBILITY
 multiset(_InputIterator __f, _InputIterator __l,
 const value_compare& __comp = value_compare())
 : __tree_(__comp)
 {
 insert(__f, __l);
 }

#if _LIBCPP_STD_VER > 11
 template <class _InputIterator>
 _LIBCPP_INLINE_VISIBILITY 
 multiset(_InputIterator __f, _InputIterator __l, const allocator_type& __a)
 : multiset(__f, __l, key_compare(), __a) {}
#endif

 template <class _InputIterator>
 _LIBCPP_INLINE_VISIBILITY
 multiset(_InputIterator __f, _InputIterator __l,
 const value_compare& __comp, const allocator_type& __a)
 : __tree_(__comp, __a)
 {
 insert(__f, __l);
 }

 _LIBCPP_INLINE_VISIBILITY
 multiset(const multiset& __s)
 : __tree_(__s.__tree_.value_comp(),
 __alloc_traits::select_on_container_copy_construction(__s.__tree_.__alloc()))
 {
 insert(__s.begin(), __s.end());
 }

 _LIBCPP_INLINE_VISIBILITY
 multiset& operator=(const multiset& __s)
 {
 __tree_ = __s.__tree_;
 return *this;
 }

#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
 _LIBCPP_INLINE_VISIBILITY
 multiset(multiset&& __s)
 _NOEXCEPT_(is_nothrow_move_constructible<__base>::value)
 : __tree_(_VSTD::move(__s.__tree_)) {}
#endif // _LIBCPP_HAS_NO_RVALUE_REFERENCES
 _LIBCPP_INLINE_VISIBILITY
 explicit multiset(const allocator_type& __a)
 : __tree_(__a) {}
 _LIBCPP_INLINE_VISIBILITY
 multiset(const multiset& __s, const allocator_type& __a)
 : __tree_(__s.__tree_.value_comp(), __a)
 {
 insert(__s.begin(), __s.end());
 }
#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
 multiset(multiset&& __s, const allocator_type& __a);
#endif

#ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
 _LIBCPP_INLINE_VISIBILITY
 multiset(initializer_list<value_type> __il, const value_compare& __comp = value_compare())
 : __tree_(__comp)
 {
 insert(__il.begin(), __il.end());
 }

 _LIBCPP_INLINE_VISIBILITY
 multiset(initializer_list<value_type> __il, const value_compare& __comp,
 const allocator_type& __a)
 : __tree_(__comp, __a)
 {
 insert(__il.begin(), __il.end());
 }

#if _LIBCPP_STD_VER > 11
 _LIBCPP_INLINE_VISIBILITY 
 multiset(initializer_list<value_type> __il, const allocator_type& __a)
 : multiset(__il, key_compare(), __a) {}
#endif

 _LIBCPP_INLINE_VISIBILITY
 multiset& operator=(initializer_list<value_type> __il)
 {
 __tree_.__assign_multi(__il.begin(), __il.end());
 return *this;
 }
#endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS

#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
 _LIBCPP_INLINE_VISIBILITY
 multiset& operator=(multiset&& __s)
 _NOEXCEPT_(is_nothrow_move_assignable<__base>::value)
 {
 __tree_ = _VSTD::move(__s.__tree_);
 return *this;
 }
#endif // _LIBCPP_HAS_NO_RVALUE_REFERENCES

 _LIBCPP_INLINE_VISIBILITY
 iterator begin() _NOEXCEPT {return __tree_.begin();}
 _LIBCPP_INLINE_VISIBILITY
 const_iterator begin() const _NOEXCEPT {return __tree_.begin();}
 _LIBCPP_INLINE_VISIBILITY
 iterator end() _NOEXCEPT {return __tree_.end();}
 _LIBCPP_INLINE_VISIBILITY
 const_iterator end() const _NOEXCEPT {return __tree_.end();}

 _LIBCPP_INLINE_VISIBILITY
 reverse_iterator rbegin() _NOEXCEPT
 {return reverse_iterator(end());}
 _LIBCPP_INLINE_VISIBILITY
 const_reverse_iterator rbegin() const _NOEXCEPT
 {return const_reverse_iterator(end());}
 _LIBCPP_INLINE_VISIBILITY
 reverse_iterator rend() _NOEXCEPT
 {return reverse_iterator(begin());}
 _LIBCPP_INLINE_VISIBILITY
 const_reverse_iterator rend() const _NOEXCEPT
 {return const_reverse_iterator(begin());}

 _LIBCPP_INLINE_VISIBILITY
 const_iterator cbegin() const _NOEXCEPT {return begin();}
 _LIBCPP_INLINE_VISIBILITY
 const_iterator cend() const _NOEXCEPT {return end();}
 _LIBCPP_INLINE_VISIBILITY
 const_reverse_iterator crbegin() const _NOEXCEPT {return rbegin();}
 _LIBCPP_INLINE_VISIBILITY
 const_reverse_iterator crend() const _NOEXCEPT {return rend();}

 _LIBCPP_INLINE_VISIBILITY
 bool empty() const _NOEXCEPT {return __tree_.size() == 0;}
 _LIBCPP_INLINE_VISIBILITY
 size_type size() const _NOEXCEPT {return __tree_.size();}
 _LIBCPP_INLINE_VISIBILITY
 size_type max_size() const _NOEXCEPT {return __tree_.max_size();}

 // modifiers:
#if !defined(_LIBCPP_HAS_NO_RVALUE_REFERENCES) && !defined(_LIBCPP_HAS_NO_VARIADICS)
 template <class... _Args>
 _LIBCPP_INLINE_VISIBILITY
 iterator emplace(_Args&&... __args)
 {return __tree_.__emplace_multi(_VSTD::forward<_Args>(__args)...);}
 template <class... _Args>
 _LIBCPP_INLINE_VISIBILITY
 iterator emplace_hint(const_iterator __p, _Args&&... __args)
 {return __tree_.__emplace_hint_multi(__p, _VSTD::forward<_Args>(__args)...);}
#endif // !defined(_LIBCPP_HAS_NO_RVALUE_REFERENCES) && !defined(_LIBCPP_HAS_NO_VARIADICS)
 _LIBCPP_INLINE_VISIBILITY
 iterator insert(const value_type& __v)
 {return __tree_.__insert_multi(__v);}
#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
 _LIBCPP_INLINE_VISIBILITY
 iterator insert(value_type&& __v)
 {return __tree_.__insert_multi(_VSTD::move(__v));}
#endif // _LIBCPP_HAS_NO_RVALUE_REFERENCES
 _LIBCPP_INLINE_VISIBILITY
 iterator insert(const_iterator __p, const value_type& __v)
 {return __tree_.__insert_multi(__p, __v);}
#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
 _LIBCPP_INLINE_VISIBILITY
 iterator insert(const_iterator __p, value_type&& __v)
 {return __tree_.__insert_multi(_VSTD::move(__v));}
#endif // _LIBCPP_HAS_NO_RVALUE_REFERENCES
 template <class _InputIterator>
 _LIBCPP_INLINE_VISIBILITY
 void insert(_InputIterator __f, _InputIterator __l)
 {
 for (const_iterator __e = cend(); __f != __l; ++__f)
 __tree_.__insert_multi(__e, *__f);
 }

#ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
 _LIBCPP_INLINE_VISIBILITY
 void insert(initializer_list<value_type> __il)
 {insert(__il.begin(), __il.end());}
#endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS

 _LIBCPP_INLINE_VISIBILITY
 iterator erase(const_iterator __p) {return __tree_.erase(__p);}
 _LIBCPP_INLINE_VISIBILITY
 size_type erase(const key_type& __k) {return __tree_.__erase_multi(__k);}
 _LIBCPP_INLINE_VISIBILITY
 iterator erase(const_iterator __f, const_iterator __l)
 {return __tree_.erase(__f, __l);}
 _LIBCPP_INLINE_VISIBILITY
 void clear() _NOEXCEPT {__tree_.clear();}

 _LIBCPP_INLINE_VISIBILITY
 void swap(multiset& __s)
 _NOEXCEPT_(__is_nothrow_swappable<__base>::value)
 {__tree_.swap(__s.__tree_);}

 _LIBCPP_INLINE_VISIBILITY
 allocator_type get_allocator() const _NOEXCEPT {return __tree_.__alloc();}
 _LIBCPP_INLINE_VISIBILITY
 key_compare key_comp() const {return __tree_.value_comp();}
 _LIBCPP_INLINE_VISIBILITY
 value_compare value_comp() const {return __tree_.value_comp();}

 // set operations:
 _LIBCPP_INLINE_VISIBILITY
 iterator find(const key_type& __k) {return __tree_.find(__k);}
 _LIBCPP_INLINE_VISIBILITY
 const_iterator find(const key_type& __k) const {return __tree_.find(__k);}
#if _LIBCPP_STD_VER > 11
 template <typename _K2>
 _LIBCPP_INLINE_VISIBILITY
 typename _VSTD::enable_if<_VSTD::__is_transparent<_Compare, _K2>::value,iterator>::type
 find(const _K2& __k) {return __tree_.find(__k);}
 template <typename _K2>
 _LIBCPP_INLINE_VISIBILITY
 typename _VSTD::enable_if<_VSTD::__is_transparent<_Compare, _K2>::value,const_iterator>::type
 find(const _K2& __k) const {return __tree_.find(__k);}
#endif

 _LIBCPP_INLINE_VISIBILITY
 size_type count(const key_type& __k) const
 {return __tree_.__count_multi(__k);}

 _LIBCPP_INLINE_VISIBILITY
 iterator lower_bound(const key_type& __k)
 {return __tree_.lower_bound(__k);}
 _LIBCPP_INLINE_VISIBILITY
 const_iterator lower_bound(const key_type& __k) const
 {return __tree_.lower_bound(__k);}
#if _LIBCPP_STD_VER > 11
 template <typename _K2>
 _LIBCPP_INLINE_VISIBILITY
 typename _VSTD::enable_if<_VSTD::__is_transparent<_Compare, _K2>::value,iterator>::type
 lower_bound(const _K2& __k) {return __tree_.lower_bound(__k);}

 template <typename _K2>
 _LIBCPP_INLINE_VISIBILITY
 typename _VSTD::enable_if<_VSTD::__is_transparent<_Compare, _K2>::value,const_iterator>::type
 lower_bound(const _K2& __k) const {return __tree_.lower_bound(__k);}
#endif

 _LIBCPP_INLINE_VISIBILITY
 iterator upper_bound(const key_type& __k)
 {return __tree_.upper_bound(__k);}
 _LIBCPP_INLINE_VISIBILITY
 const_iterator upper_bound(const key_type& __k) const
 {return __tree_.upper_bound(__k);}
#if _LIBCPP_STD_VER > 11
 template <typename _K2>
 _LIBCPP_INLINE_VISIBILITY
 typename _VSTD::enable_if<_VSTD::__is_transparent<_Compare, _K2>::value,iterator>::type
 upper_bound(const _K2& __k) {return __tree_.upper_bound(__k);}
 template <typename _K2>
 _LIBCPP_INLINE_VISIBILITY
 typename _VSTD::enable_if<_VSTD::__is_transparent<_Compare, _K2>::value,const_iterator>::type
 upper_bound(const _K2& __k) const {return __tree_.upper_bound(__k);}
#endif

 _LIBCPP_INLINE_VISIBILITY
 pair<iterator,iterator> equal_range(const key_type& __k)
 {return __tree_.__equal_range_multi(__k);}
 _LIBCPP_INLINE_VISIBILITY
 pair<const_iterator,const_iterator> equal_range(const key_type& __k) const
 {return __tree_.__equal_range_multi(__k);}
#if _LIBCPP_STD_VER > 11
 template <typename _K2>
 _LIBCPP_INLINE_VISIBILITY
 typename _VSTD::enable_if<_VSTD::__is_transparent<_Compare, _K2>::value,pair<iterator,iterator>>::type
 equal_range(const _K2& __k) {return __tree_.__equal_range_multi(__k);}
 template <typename _K2>
 _LIBCPP_INLINE_VISIBILITY
 typename _VSTD::enable_if<_VSTD::__is_transparent<_Compare, _K2>::value,pair<const_iterator,const_iterator>>::type
 equal_range(const _K2& __k) const {return __tree_.__equal_range_multi(__k);}
#endif
};

#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES

template <class _Key, class _Compare, class _Allocator>
multiset<_Key, _Compare, _Allocator>::multiset(multiset&& __s, const allocator_type& __a)
 : __tree_(_VSTD::move(__s.__tree_), __a)
{
 if (__a != __s.get_allocator())
 {
 const_iterator __e = cend();
 while (!__s.empty())
 insert(__e, _VSTD::move(__s.__tree_.remove(__s.begin())->__value_));
 }
}

#endif // _LIBCPP_HAS_NO_RVALUE_REFERENCES

template <class _Key, class _Compare, class _Allocator>
inline _LIBCPP_INLINE_VISIBILITY
bool
operator==(const multiset<_Key, _Compare, _Allocator>& __x,
 const multiset<_Key, _Compare, _Allocator>& __y)
{
 return __x.size() == __y.size() && _VSTD::equal(__x.begin(), __x.end(), __y.begin());
}

template <class _Key, class _Compare, class _Allocator>
inline _LIBCPP_INLINE_VISIBILITY
bool
operator< (const multiset<_Key, _Compare, _Allocator>& __x,
 const multiset<_Key, _Compare, _Allocator>& __y)
{
 return _VSTD::lexicographical_compare(__x.begin(), __x.end(), __y.begin(), __y.end());
}

template <class _Key, class _Compare, class _Allocator>
inline _LIBCPP_INLINE_VISIBILITY
bool
operator!=(const multiset<_Key, _Compare, _Allocator>& __x,
 const multiset<_Key, _Compare, _Allocator>& __y)
{
 return !(__x == __y);
}

template <class _Key, class _Compare, class _Allocator>
inline _LIBCPP_INLINE_VISIBILITY
bool
operator> (const multiset<_Key, _Compare, _Allocator>& __x,
 const multiset<_Key, _Compare, _Allocator>& __y)
{
 return __y < __x;
}

template <class _Key, class _Compare, class _Allocator>
inline _LIBCPP_INLINE_VISIBILITY
bool
operator>=(const multiset<_Key, _Compare, _Allocator>& __x,
 const multiset<_Key, _Compare, _Allocator>& __y)
{
 return !(__x < __y);
}

template <class _Key, class _Compare, class _Allocator>
inline _LIBCPP_INLINE_VISIBILITY
bool
operator<=(const multiset<_Key, _Compare, _Allocator>& __x,
 const multiset<_Key, _Compare, _Allocator>& __y)
{
 return !(__y < __x);
}

template <class _Key, class _Compare, class _Allocator>
inline _LIBCPP_INLINE_VISIBILITY
void
swap(multiset<_Key, _Compare, _Allocator>& __x,
 multiset<_Key, _Compare, _Allocator>& __y)
 _NOEXCEPT_(_NOEXCEPT_(__x.swap(__y)))
{
 __x.swap(__y);
}

_LIBCPP_END_NAMESPACE_STD

#endif // _LIBCPP_SET