Add libc++ and libc++abi to third-party.

third_party/libcxx/include/__tree

+// -*- C++ -*-
+//===----------------------------------------------------------------------===//
+//
+//                     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___TREE
+#define _LIBCPP___TREE
+
+#include <__config>
+#include <iterator>
+#include <memory>
+#include <stdexcept>
+#include <algorithm>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+template <class _Tp, class _Compare, class _Allocator> class __tree;
+template <class _Tp, class _NodePtr, class _DiffType>
+    class _LIBCPP_TYPE_VIS_ONLY __tree_iterator;
+template <class _Tp, class _ConstNodePtr, class _DiffType>
+    class _LIBCPP_TYPE_VIS_ONLY __tree_const_iterator;
+template <class _Key, class _Tp, class _Compare, class _Allocator>
+    class _LIBCPP_TYPE_VIS_ONLY map;
+template <class _Key, class _Tp, class _Compare, class _Allocator>
+    class _LIBCPP_TYPE_VIS_ONLY multimap;
+template <class _Key, class _Compare, class _Allocator>
+    class _LIBCPP_TYPE_VIS_ONLY set;
+template <class _Key, class _Compare, class _Allocator>
+    class _LIBCPP_TYPE_VIS_ONLY multiset;
+
+/*
+
+_NodePtr algorithms
+
+The algorithms taking _NodePtr are red black tree algorithms.  Those
+algorithms taking a parameter named __root should assume that __root
+points to a proper red black tree (unless otherwise specified).
+
+Each algorithm herein assumes that __root->__parent_ points to a non-null
+structure which has a member __left_ which points back to __root.  No other
+member is read or written to at __root->__parent_.
+
+__root->__parent_ will be referred to below (in comments only) as end_node.
+end_node->__left_ is an externably accessible lvalue for __root, and can be
+changed by node insertion and removal (without explicit reference to end_node).
+
+All nodes (with the exception of end_node), even the node referred to as
+__root, have a non-null __parent_ field.
+
+*/
+
+// Returns:  true if __x is a left child of its parent, else false
+// Precondition:  __x != nullptr.
+template <class _NodePtr>
+inline _LIBCPP_INLINE_VISIBILITY
+bool
+__tree_is_left_child(_NodePtr __x) _NOEXCEPT
+{
+    return __x == __x->__parent_->__left_;
+}
+
+// Determintes if the subtree rooted at __x is a proper red black subtree.  If
+//    __x is a proper subtree, returns the black height (null counts as 1).  If
+//    __x is an improper subtree, returns 0.
+template <class _NodePtr>
+unsigned
+__tree_sub_invariant(_NodePtr __x)
+{
+    if (__x == nullptr)
+        return 1;
+    // parent consistency checked by caller
+    // check __x->__left_ consistency
+    if (__x->__left_ != nullptr && __x->__left_->__parent_ != __x)
+        return 0;
+    // check __x->__right_ consistency
+    if (__x->__right_ != nullptr && __x->__right_->__parent_ != __x)
+        return 0;
+    // check __x->__left_ != __x->__right_ unless both are nullptr
+    if (__x->__left_ == __x->__right_ && __x->__left_ != nullptr)
+        return 0;
+    // If this is red, neither child can be red
+    if (!__x->__is_black_)
+    {
+        if (__x->__left_ && !__x->__left_->__is_black_)
+            return 0;
+        if (__x->__right_ && !__x->__right_->__is_black_)
+            return 0;
+    }
+    unsigned __h = __tree_sub_invariant(__x->__left_);
+    if (__h == 0)
+        return 0;  // invalid left subtree
+    if (__h != __tree_sub_invariant(__x->__right_))
+        return 0;  // invalid or different height right subtree
+    return __h + __x->__is_black_;  // return black height of this node
+}
+
+// Determintes if the red black tree rooted at __root is a proper red black tree.
+//    __root == nullptr is a proper tree.  Returns true is __root is a proper
+//    red black tree, else returns false.
+template <class _NodePtr>
+bool
+__tree_invariant(_NodePtr __root)
+{
+    if (__root == nullptr)
+        return true;
+    // check __x->__parent_ consistency
+    if (__root->__parent_ == nullptr)
+        return false;
+    if (!__tree_is_left_child(__root))
+        return false;
+    // root must be black
+    if (!__root->__is_black_)
+        return false;
+    // do normal node checks
+    return __tree_sub_invariant(__root) != 0;
+}
+
+// Returns:  pointer to the left-most node under __x.
+// Precondition:  __x != nullptr.
+template <class _NodePtr>
+inline _LIBCPP_INLINE_VISIBILITY
+_NodePtr
+__tree_min(_NodePtr __x) _NOEXCEPT
+{
+    while (__x->__left_ != nullptr)
+        __x = __x->__left_;
+    return __x;
+}
+
+// Returns:  pointer to the right-most node under __x.
+// Precondition:  __x != nullptr.
+template <class _NodePtr>
+inline _LIBCPP_INLINE_VISIBILITY
+_NodePtr
+__tree_max(_NodePtr __x) _NOEXCEPT
+{
+    while (__x->__right_ != nullptr)
+        __x = __x->__right_;
+    return __x;
+}
+
+// Returns:  pointer to the next in-order node after __x.
+// Precondition:  __x != nullptr.
+template <class _NodePtr>
+_NodePtr
+__tree_next(_NodePtr __x) _NOEXCEPT
+{
+    if (__x->__right_ != nullptr)
+        return __tree_min(__x->__right_);
+    while (!__tree_is_left_child(__x))
+        __x = __x->__parent_;
+    return __x->__parent_;
+}
+
+// Returns:  pointer to the previous in-order node before __x.
+// Precondition:  __x != nullptr.
+template <class _NodePtr>
+_NodePtr
+__tree_prev(_NodePtr __x) _NOEXCEPT
+{
+    if (__x->__left_ != nullptr)
+        return __tree_max(__x->__left_);
+    while (__tree_is_left_child(__x))
+        __x = __x->__parent_;
+    return __x->__parent_;
+}
+
+// Returns:  pointer to a node which has no children
+// Precondition:  __x != nullptr.
+template <class _NodePtr>
+_NodePtr
+__tree_leaf(_NodePtr __x) _NOEXCEPT
+{
+    while (true)
+    {
+        if (__x->__left_ != nullptr)
+        {
+            __x = __x->__left_;
+            continue;
+        }
+        if (__x->__right_ != nullptr)
+        {
+            __x = __x->__right_;
+            continue;
+        }
+        break;
+    }
+    return __x;
+}
+
+// Effects:  Makes __x->__right_ the subtree root with __x as its left child
+//           while preserving in-order order.
+// Precondition:  __x->__right_ != nullptr
+template <class _NodePtr>
+void
+__tree_left_rotate(_NodePtr __x) _NOEXCEPT
+{
+    _NodePtr __y = __x->__right_;
+    __x->__right_ = __y->__left_;
+    if (__x->__right_ != nullptr)
+        __x->__right_->__parent_ = __x;
+    __y->__parent_ = __x->__parent_;
+    if (__tree_is_left_child(__x))
+        __x->__parent_->__left_ = __y;
+    else
+        __x->__parent_->__right_ = __y;
+    __y->__left_ = __x;
+    __x->__parent_ = __y;
+}
+
+// Effects:  Makes __x->__left_ the subtree root with __x as its right child
+//           while preserving in-order order.
+// Precondition:  __x->__left_ != nullptr
+template <class _NodePtr>
+void
+__tree_right_rotate(_NodePtr __x) _NOEXCEPT
+{
+    _NodePtr __y = __x->__left_;
+    __x->__left_ = __y->__right_;
+    if (__x->__left_ != nullptr)
+        __x->__left_->__parent_ = __x;
+    __y->__parent_ = __x->__parent_;
+    if (__tree_is_left_child(__x))
+        __x->__parent_->__left_ = __y;
+    else
+        __x->__parent_->__right_ = __y;
+    __y->__right_ = __x;
+    __x->__parent_ = __y;
+}
+
+// Effects:  Rebalances __root after attaching __x to a leaf.
+// Precondition:  __root != nulptr && __x != nullptr.
+//                __x has no children.
+//                __x == __root or == a direct or indirect child of __root.
+//                If __x were to be unlinked from __root (setting __root to
+//                  nullptr if __root == __x), __tree_invariant(__root) == true.
+// Postcondition: __tree_invariant(end_node->__left_) == true.  end_node->__left_
+//                may be different than the value passed in as __root.
+template <class _NodePtr>
+void
+__tree_balance_after_insert(_NodePtr __root, _NodePtr __x) _NOEXCEPT
+{
+    __x->__is_black_ = __x == __root;
+    while (__x != __root && !__x->__parent_->__is_black_)
+    {
+        // __x->__parent_ != __root because __x->__parent_->__is_black == false
+        if (__tree_is_left_child(__x->__parent_))
+        {
+            _NodePtr __y = __x->__parent_->__parent_->__right_;
+            if (__y != nullptr && !__y->__is_black_)
+            {
+                __x = __x->__parent_;
+                __x->__is_black_ = true;
+                __x = __x->__parent_;
+                __x->__is_black_ = __x == __root;
+                __y->__is_black_ = true;
+            }
+            else
+            {
+                if (!__tree_is_left_child(__x))
+                {
+                    __x = __x->__parent_;
+                    __tree_left_rotate(__x);
+                }
+                __x = __x->__parent_;
+                __x->__is_black_ = true;
+                __x = __x->__parent_;
+                __x->__is_black_ = false;
+                __tree_right_rotate(__x);
+                break;
+            }
+        }
+        else
+        {
+            _NodePtr __y = __x->__parent_->__parent_->__left_;
+            if (__y != nullptr && !__y->__is_black_)
+            {
+                __x = __x->__parent_;
+                __x->__is_black_ = true;
+                __x = __x->__parent_;
+                __x->__is_black_ = __x == __root;
+                __y->__is_black_ = true;
+            }
+            else
+            {
+                if (__tree_is_left_child(__x))
+                {
+                    __x = __x->__parent_;
+                    __tree_right_rotate(__x);
+                }
+                __x = __x->__parent_;
+                __x->__is_black_ = true;
+                __x = __x->__parent_;
+                __x->__is_black_ = false;
+                __tree_left_rotate(__x);
+                break;
+            }
+        }
+    }
+}
+
+// Precondition:  __root != nullptr && __z != nullptr.
+//                __tree_invariant(__root) == true.
+//                __z == __root or == a direct or indirect child of __root.
+// Effects:  unlinks __z from the tree rooted at __root, rebalancing as needed.
+// Postcondition: __tree_invariant(end_node->__left_) == true && end_node->__left_
+//                nor any of its children refer to __z.  end_node->__left_
+//                may be different than the value passed in as __root.
+template <class _NodePtr>
+void
+__tree_remove(_NodePtr __root, _NodePtr __z) _NOEXCEPT
+{
+    // __z will be removed from the tree.  Client still needs to destruct/deallocate it
+    // __y is either __z, or if __z has two children, __tree_next(__z).
+    // __y will have at most one child.
+    // __y will be the initial hole in the tree (make the hole at a leaf)
+    _NodePtr __y = (__z->__left_ == nullptr || __z->__right_ == nullptr) ?
+                    __z : __tree_next(__z);
+    // __x is __y's possibly null single child
+    _NodePtr __x = __y->__left_ != nullptr ? __y->__left_ : __y->__right_;
+    // __w is __x's possibly null uncle (will become __x's sibling)
+    _NodePtr __w = nullptr;
+    // link __x to __y's parent, and find __w
+    if (__x != nullptr)
+        __x->__parent_ = __y->__parent_;
+    if (__tree_is_left_child(__y))
+    {
+        __y->__parent_->__left_ = __x;
+        if (__y != __root)
+            __w = __y->__parent_->__right_;
+        else
+            __root = __x;  // __w == nullptr
+    }
+    else
+    {
+        __y->__parent_->__right_ = __x;
+        // __y can't be root if it is a right child
+        __w = __y->__parent_->__left_;
+    }
+    bool __removed_black = __y->__is_black_;
+    // If we didn't remove __z, do so now by splicing in __y for __z,
+    //    but copy __z's color.  This does not impact __x or __w.
+    if (__y != __z)
+    {
+        // __z->__left_ != nulptr but __z->__right_ might == __x == nullptr
+        __y->__parent_ = __z->__parent_;
+        if (__tree_is_left_child(__z))
+            __y->__parent_->__left_ = __y;
+        else
+            __y->__parent_->__right_ = __y;
+        __y->__left_ = __z->__left_;
+        __y->__left_->__parent_ = __y;
+        __y->__right_ = __z->__right_;
+        if (__y->__right_ != nullptr)
+            __y->__right_->__parent_ = __y;
+        __y->__is_black_ = __z->__is_black_;
+        if (__root == __z)
+            __root = __y;
+    }
+    // There is no need to rebalance if we removed a red, or if we removed
+    //     the last node.
+    if (__removed_black && __root != nullptr)
+    {
+        // Rebalance:
+        // __x has an implicit black color (transferred from the removed __y)
+        //    associated with it, no matter what its color is.
+        // If __x is __root (in which case it can't be null), it is supposed
+        //    to be black anyway, and if it is doubly black, then the double
+        //    can just be ignored.
+        // If __x is red (in which case it can't be null), then it can absorb
+        //    the implicit black just by setting its color to black.
+        // Since __y was black and only had one child (which __x points to), __x
+        //   is either red with no children, else null, otherwise __y would have
+        //   different black heights under left and right pointers.
+        // if (__x == __root || __x != nullptr && !__x->__is_black_)
+        if (__x != nullptr)
+            __x->__is_black_ = true;
+        else
+        {
+            //  Else __x isn't root, and is "doubly black", even though it may
+            //     be null.  __w can not be null here, else the parent would
+            //     see a black height >= 2 on the __x side and a black height
+            //     of 1 on the __w side (__w must be a non-null black or a red
+            //     with a non-null black child).
+            while (true)
+            {
+                if (!__tree_is_left_child(__w))  // if x is left child
+                {
+                    if (!__w->__is_black_)
+                    {
+                        __w->__is_black_ = true;
+                        __w->__parent_->__is_black_ = false;
+                        __tree_left_rotate(__w->__parent_);
+                        // __x is still valid
+                        // reset __root only if necessary
+                        if (__root == __w->__left_)
+                            __root = __w;
+                        // reset sibling, and it still can't be null
+                        __w = __w->__left_->__right_;
+                    }
+                    // __w->__is_black_ is now true, __w may have null children
+                    if ((__w->__left_  == nullptr || __w->__left_->__is_black_) &&
+                        (__w->__right_ == nullptr || __w->__right_->__is_black_))
+                    {
+                        __w->__is_black_ = false;
+                        __x = __w->__parent_;
+                        // __x can no longer be null
+                        if (__x == __root || !__x->__is_black_)
+                        {
+                            __x->__is_black_ = true;
+                            break;
+                        }
+                        // reset sibling, and it still can't be null
+                        __w = __tree_is_left_child(__x) ?
+                                    __x->__parent_->__right_ :
+                                    __x->__parent_->__left_;
+                        // continue;
+                    }
+                    else  // __w has a red child
+                    {
+                        if (__w->__right_ == nullptr || __w->__right_->__is_black_)
+                        {
+                            // __w left child is non-null and red
+                            __w->__left_->__is_black_ = true;
+                            __w->__is_black_ = false;
+                            __tree_right_rotate(__w);
+                            // __w is known not to be root, so root hasn't changed
+                            // reset sibling, and it still can't be null
+                            __w = __w->__parent_;
+                        }
+                        // __w has a right red child, left child may be null
+                        __w->__is_black_ = __w->__parent_->__is_black_;
+                        __w->__parent_->__is_black_ = true;
+                        __w->__right_->__is_black_ = true;
+                        __tree_left_rotate(__w->__parent_);
+                        break;
+                    }
+                }
+                else
+                {
+                    if (!__w->__is_black_)
+                    {
+                        __w->__is_black_ = true;
+                        __w->__parent_->__is_black_ = false;
+                        __tree_right_rotate(__w->__parent_);
+                        // __x is still valid
+                        // reset __root only if necessary
+                        if (__root == __w->__right_)
+                            __root = __w;
+                        // reset sibling, and it still can't be null
+                        __w = __w->__right_->__left_;
+                    }
+                    // __w->__is_black_ is now true, __w may have null children
+                    if ((__w->__left_  == nullptr || __w->__left_->__is_black_) &&
+                        (__w->__right_ == nullptr || __w->__right_->__is_black_))
+                    {
+                        __w->__is_black_ = false;
+                        __x = __w->__parent_;
+                        // __x can no longer be null
+                        if (!__x->__is_black_ || __x == __root)
+                        {
+                            __x->__is_black_ = true;
+                            break;
+                        }
+                        // reset sibling, and it still can't be null
+                        __w = __tree_is_left_child(__x) ?
+                                    __x->__parent_->__right_ :
+                                    __x->__parent_->__left_;
+                        // continue;
+                    }
+                    else  // __w has a red child
+                    {
+                        if (__w->__left_ == nullptr || __w->__left_->__is_black_)
+                        {
+                            // __w right child is non-null and red
+                            __w->__right_->__is_black_ = true;
+                            __w->__is_black_ = false;
+                            __tree_left_rotate(__w);
+                            // __w is known not to be root, so root hasn't changed
+                            // reset sibling, and it still can't be null
+                            __w = __w->__parent_;
+                        }
+                        // __w has a left red child, right child may be null
+                        __w->__is_black_ = __w->__parent_->__is_black_;
+                        __w->__parent_->__is_black_ = true;
+                        __w->__left_->__is_black_ = true;
+                        __tree_right_rotate(__w->__parent_);
+                        break;
+                    }
+                }
+            }
+        }
+    }
+}
+
+template <class _Allocator> class __map_node_destructor;
+
+template <class _Allocator>
+class __tree_node_destructor
+{
+    typedef _Allocator                                      allocator_type;
+    typedef allocator_traits<allocator_type>                __alloc_traits;
+    typedef typename __alloc_traits::value_type::value_type value_type;
+public:
+    typedef typename __alloc_traits::pointer                pointer;
+private:
+
+    allocator_type& __na_;
+
+    __tree_node_destructor& operator=(const __tree_node_destructor&);
+
+public:
+    bool __value_constructed;
+
+    _LIBCPP_INLINE_VISIBILITY
+    explicit __tree_node_destructor(allocator_type& __na) _NOEXCEPT
+        : __na_(__na),
+          __value_constructed(false)
+        {}
+
+    _LIBCPP_INLINE_VISIBILITY
+    void operator()(pointer __p) _NOEXCEPT
+    {
+        if (__value_constructed)
+            __alloc_traits::destroy(__na_, _VSTD::addressof(__p->__value_));
+        if (__p)
+            __alloc_traits::deallocate(__na_, __p, 1);
+    }
+
+    template <class> friend class __map_node_destructor;
+};
+
+// node
+
+template <class _Pointer>
+class __tree_end_node
+{
+public:
+    typedef _Pointer pointer;
+    pointer __left_;
+
+    _LIBCPP_INLINE_VISIBILITY
+    __tree_end_node() _NOEXCEPT : __left_() {}
+};
+
+template <class _VoidPtr>
+class __tree_node_base
+    : public __tree_end_node
+             <
+                typename pointer_traits<_VoidPtr>::template
+#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
+                     rebind<__tree_node_base<_VoidPtr> >
+#else
+                     rebind<__tree_node_base<_VoidPtr> >::other
+#endif
+             >
+{
+    __tree_node_base(const __tree_node_base&);
+    __tree_node_base& operator=(const __tree_node_base&);
+public:
+    typedef typename pointer_traits<_VoidPtr>::template
+#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
+            rebind<__tree_node_base>
+#else
+            rebind<__tree_node_base>::other
+#endif
+                                                pointer;
+    typedef typename pointer_traits<_VoidPtr>::template
+#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
+            rebind<const __tree_node_base>
+#else
+            rebind<const __tree_node_base>::other
+#endif
+                                                const_pointer;
+    typedef __tree_end_node<pointer> base;
+
+    pointer __right_;
+    pointer __parent_;
+    bool __is_black_;
+
+    _LIBCPP_INLINE_VISIBILITY
+    __tree_node_base() _NOEXCEPT
+        : __right_(), __parent_(), __is_black_(false) {}
+};
+
+template <class _Tp, class _VoidPtr>
+class __tree_node
+    : public __tree_node_base<_VoidPtr>
+{
+public:
+    typedef __tree_node_base<_VoidPtr> base;
+    typedef _Tp value_type;
+
+    value_type __value_;
+
+#if !defined(_LIBCPP_HAS_NO_RVALUE_REFERENCES) && !defined(_LIBCPP_HAS_NO_VARIADICS)
+    template <class ..._Args>
+        _LIBCPP_INLINE_VISIBILITY
+        explicit __tree_node(_Args&& ...__args)
+            : __value_(_VSTD::forward<_Args>(__args)...) {}
+#else  // !defined(_LIBCPP_HAS_NO_RVALUE_REFERENCES) && !defined(_LIBCPP_HAS_NO_VARIADICS)
+    _LIBCPP_INLINE_VISIBILITY
+    explicit __tree_node(const value_type& __v)
+            : __value_(__v) {}
+#endif  // !defined(_LIBCPP_HAS_NO_RVALUE_REFERENCES) && !defined(_LIBCPP_HAS_NO_VARIADICS)
+};
+
+template <class _TreeIterator> class _LIBCPP_TYPE_VIS_ONLY __map_iterator;
+template <class _TreeIterator> class _LIBCPP_TYPE_VIS_ONLY __map_const_iterator;
+
+template <class _Tp, class _NodePtr, class _DiffType>
+class _LIBCPP_TYPE_VIS_ONLY __tree_iterator
+{
+    typedef _NodePtr                                              __node_pointer;
+    typedef typename pointer_traits<__node_pointer>::element_type __node;
+    typedef typename __node::base                                 __node_base;
+    typedef typename __node_base::pointer                         __node_base_pointer;
+
+    __node_pointer __ptr_;
+
+    typedef pointer_traits<__node_pointer> __pointer_traits;
+public:
+    typedef bidirectional_iterator_tag iterator_category;
+    typedef _Tp                        value_type;
+    typedef _DiffType                  difference_type;
+    typedef value_type&                reference;
+    typedef typename pointer_traits<__node_pointer>::template
+#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
+            rebind<value_type>
+#else
+            rebind<value_type>::other
+#endif
+                                       pointer;
+
+    _LIBCPP_INLINE_VISIBILITY __tree_iterator() _NOEXCEPT
+#if _LIBCPP_STD_VER > 11
+    : __ptr_(nullptr)
+#endif
+    {}
+
+    _LIBCPP_INLINE_VISIBILITY reference operator*() const {return __ptr_->__value_;}
+    _LIBCPP_INLINE_VISIBILITY pointer operator->() const
+        {return pointer_traits<pointer>::pointer_to(__ptr_->__value_);}
+
+    _LIBCPP_INLINE_VISIBILITY
+    __tree_iterator& operator++()
+        {__ptr_ = static_cast<__node_pointer>(__tree_next(static_cast<__node_base_pointer>(__ptr_)));
+         return *this;}
+    _LIBCPP_INLINE_VISIBILITY
+    __tree_iterator operator++(int)
+        {__tree_iterator __t(*this); ++(*this); return __t;}
+
+    _LIBCPP_INLINE_VISIBILITY
+    __tree_iterator& operator--()
+        {__ptr_ = static_cast<__node_pointer>(__tree_prev(static_cast<__node_base_pointer>(__ptr_)));
+         return *this;}
+    _LIBCPP_INLINE_VISIBILITY
+    __tree_iterator operator--(int)
+        {__tree_iterator __t(*this); --(*this); return __t;}
+
+    friend _LIBCPP_INLINE_VISIBILITY 
+        bool operator==(const __tree_iterator& __x, const __tree_iterator& __y)
+        {return __x.__ptr_ == __y.__ptr_;}
+    friend _LIBCPP_INLINE_VISIBILITY
+        bool operator!=(const __tree_iterator& __x, const __tree_iterator& __y)
+        {return !(__x == __y);}
+
+private:
+    _LIBCPP_INLINE_VISIBILITY
+    explicit __tree_iterator(__node_pointer __p) _NOEXCEPT : __ptr_(__p) {}
+    template <class, class, class> friend class __tree;
+    template <class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY __tree_const_iterator;
+    template <class> friend class _LIBCPP_TYPE_VIS_ONLY __map_iterator;
+    template <class, class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY map;
+    template <class, class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY multimap;
+    template <class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY set;
+    template <class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY multiset;
+};
+
+template <class _Tp, class _ConstNodePtr, class _DiffType>
+class _LIBCPP_TYPE_VIS_ONLY __tree_const_iterator
+{
+    typedef _ConstNodePtr                                         __node_pointer;
+    typedef typename pointer_traits<__node_pointer>::element_type __node;
+    typedef typename __node::base                                 __node_base;
+    typedef typename pointer_traits<__node_pointer>::template
+#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
+            rebind<__node_base>
+#else
+            rebind<__node_base>::other
+#endif
+                                                                  __node_base_pointer;
+
+    __node_pointer __ptr_;
+
+    typedef pointer_traits<__node_pointer> __pointer_traits;
+public:
+    typedef bidirectional_iterator_tag       iterator_category;
+    typedef _Tp                              value_type;
+    typedef _DiffType                        difference_type;
+    typedef const value_type&                reference;
+    typedef typename pointer_traits<__node_pointer>::template
+#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
+            rebind<const value_type>
+#else
+            rebind<const value_type>::other
+#endif
+                                       pointer;
+
+    _LIBCPP_INLINE_VISIBILITY __tree_const_iterator() _NOEXCEPT
+#if _LIBCPP_STD_VER > 11
+    : __ptr_(nullptr)
+#endif
+    {}
+
+private:
+    typedef typename remove_const<__node>::type  __non_const_node;
+    typedef typename pointer_traits<__node_pointer>::template
+#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
+            rebind<__non_const_node>
+#else
+            rebind<__non_const_node>::other
+#endif
+                                                 __non_const_node_pointer;
+    typedef __tree_iterator<value_type, __non_const_node_pointer, difference_type>
+                                                 __non_const_iterator;
+public:
+    _LIBCPP_INLINE_VISIBILITY
+    __tree_const_iterator(__non_const_iterator __p) _NOEXCEPT
+        : __ptr_(__p.__ptr_) {}
+
+    _LIBCPP_INLINE_VISIBILITY reference operator*() const {return __ptr_->__value_;}
+    _LIBCPP_INLINE_VISIBILITY pointer operator->() const
+        {return pointer_traits<pointer>::pointer_to(__ptr_->__value_);}
+
+    _LIBCPP_INLINE_VISIBILITY
+    __tree_const_iterator& operator++()
+        {__ptr_ = static_cast<__node_pointer>(__tree_next(static_cast<__node_base_pointer>(__ptr_)));
+         return *this;}
+    _LIBCPP_INLINE_VISIBILITY
+    __tree_const_iterator operator++(int)
+        {__tree_const_iterator __t(*this); ++(*this); return __t;}
+
+    _LIBCPP_INLINE_VISIBILITY
+    __tree_const_iterator& operator--()
+        {__ptr_ = static_cast<__node_pointer>(__tree_prev(static_cast<__node_base_pointer>(__ptr_)));
+         return *this;}
+    _LIBCPP_INLINE_VISIBILITY
+    __tree_const_iterator operator--(int)
+        {__tree_const_iterator __t(*this); --(*this); return __t;}
+
+    friend _LIBCPP_INLINE_VISIBILITY
+        bool operator==(const __tree_const_iterator& __x, const __tree_const_iterator& __y)
+        {return __x.__ptr_ == __y.__ptr_;}
+    friend _LIBCPP_INLINE_VISIBILITY
+        bool operator!=(const __tree_const_iterator& __x, const __tree_const_iterator& __y)
+        {return !(__x == __y);}
+
+private:
+    _LIBCPP_INLINE_VISIBILITY
+    explicit __tree_const_iterator(__node_pointer __p) _NOEXCEPT
+        : __ptr_(__p) {}
+    template <class, class, class> friend class __tree;
+    template <class, class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY map;
+    template <class, class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY multimap;
+    template <class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY set;
+    template <class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY multiset;
+    template <class> friend class _LIBCPP_TYPE_VIS_ONLY __map_const_iterator;
+};
+
+template <class _Tp, class _Compare, class _Allocator>
+class __tree
+{
+public:
+    typedef _Tp                                      value_type;
+    typedef _Compare                                 value_compare;
+    typedef _Allocator                               allocator_type;
+    typedef allocator_traits<allocator_type>         __alloc_traits;
+    typedef typename __alloc_traits::pointer         pointer;
+    typedef typename __alloc_traits::const_pointer   const_pointer;
+    typedef typename __alloc_traits::size_type       size_type;
+    typedef typename __alloc_traits::difference_type difference_type;
+
+    typedef typename __alloc_traits::void_pointer  __void_pointer;
+
+    typedef __tree_node<value_type, __void_pointer> __node;
+    typedef __tree_node_base<__void_pointer>        __node_base;
+    typedef typename __alloc_traits::template
+#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
+            rebind_alloc<__node>
+#else
+            rebind_alloc<__node>::other
+#endif
+                                                     __node_allocator;
+    typedef allocator_traits<__node_allocator>       __node_traits;
+    typedef typename __node_traits::pointer          __node_pointer;
+    typedef typename __node_traits::pointer          __node_const_pointer;
+    typedef typename __node_base::pointer            __node_base_pointer;
+    typedef typename __node_base::pointer            __node_base_const_pointer;
+private:
+    typedef typename __node_base::base __end_node_t;
+    typedef typename pointer_traits<__node_pointer>::template
+#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
+            rebind<__end_node_t>
+#else
+            rebind<__end_node_t>::other
+#endif
+                                                     __end_node_ptr;
+    typedef typename pointer_traits<__node_pointer>::template
+#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES
+            rebind<__end_node_t>
+#else
+            rebind<__end_node_t>::other
+#endif
+                                                     __end_node_const_ptr;
+
+    __node_pointer                                          __begin_node_;
+    __compressed_pair<__end_node_t, __node_allocator>  __pair1_;
+    __compressed_pair<size_type, value_compare>        __pair3_;
+
+public:
+    _LIBCPP_INLINE_VISIBILITY
+    __node_pointer __end_node() _NOEXCEPT
+    {
+        return static_cast<__node_pointer>
+               (
+                   pointer_traits<__end_node_ptr>::pointer_to(__pair1_.first())
+               );
+    }
+    _LIBCPP_INLINE_VISIBILITY
+    __node_const_pointer __end_node() const _NOEXCEPT
+    {
+        return static_cast<__node_const_pointer>
+               (
+                   pointer_traits<__end_node_const_ptr>::pointer_to(const_cast<__end_node_t&>(__pair1_.first()))
+               );
+    }
+    _LIBCPP_INLINE_VISIBILITY
+          __node_allocator& __node_alloc() _NOEXCEPT {return __pair1_.second();}
+private:
+    _LIBCPP_INLINE_VISIBILITY
+    const __node_allocator& __node_alloc() const _NOEXCEPT
+        {return __pair1_.second();}
+    _LIBCPP_INLINE_VISIBILITY
+          __node_pointer& __begin_node() _NOEXCEPT {return __begin_node_;}
+    _LIBCPP_INLINE_VISIBILITY
+    const __node_pointer& __begin_node() const _NOEXCEPT {return __begin_node_;}
+public:
+    _LIBCPP_INLINE_VISIBILITY
+    allocator_type __alloc() const _NOEXCEPT
+        {return allocator_type(__node_alloc());}
+private:
+    _LIBCPP_INLINE_VISIBILITY
+          size_type& size() _NOEXCEPT {return __pair3_.first();}
+public:
+    _LIBCPP_INLINE_VISIBILITY
+    const size_type& size() const _NOEXCEPT {return __pair3_.first();}
+    _LIBCPP_INLINE_VISIBILITY
+          value_compare& value_comp() _NOEXCEPT {return __pair3_.second();}
+    _LIBCPP_INLINE_VISIBILITY
+    const value_compare& value_comp() const _NOEXCEPT
+        {return __pair3_.second();}
+public:
+    _LIBCPP_INLINE_VISIBILITY
+    __node_pointer __root() _NOEXCEPT
+        {return static_cast<__node_pointer>      (__end_node()->__left_);}
+    _LIBCPP_INLINE_VISIBILITY
+    __node_const_pointer __root() const _NOEXCEPT
+        {return static_cast<__node_const_pointer>(__end_node()->__left_);}
+
+    typedef __tree_iterator<value_type, __node_pointer, difference_type>             iterator;
+    typedef __tree_const_iterator<value_type, __node_pointer, difference_type> const_iterator;
+
+    explicit __tree(const value_compare& __comp)
+        _NOEXCEPT_(
+            is_nothrow_default_constructible<__node_allocator>::value &&
+            is_nothrow_copy_constructible<value_compare>::value);
+    explicit __tree(const allocator_type& __a);
+    __tree(const value_compare& __comp, const allocator_type& __a);
+    __tree(const __tree& __t);
+    __tree& operator=(const __tree& __t);
+    template <class _InputIterator>
+        void __assign_unique(_InputIterator __first, _InputIterator __last);
+    template <class _InputIterator>
+        void __assign_multi(_InputIterator __first, _InputIterator __last);
+#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
+    __tree(__tree&& __t)
+        _NOEXCEPT_(
+            is_nothrow_move_constructible<__node_allocator>::value &&
+            is_nothrow_move_constructible<value_compare>::value);
+    __tree(__tree&& __t, const allocator_type& __a);
+    __tree& operator=(__tree&& __t)
+        _NOEXCEPT_(
+            __node_traits::propagate_on_container_move_assignment::value &&
+            is_nothrow_move_assignable<value_compare>::value &&
+            is_nothrow_move_assignable<__node_allocator>::value);
+#endif  // _LIBCPP_HAS_NO_RVALUE_REFERENCES
+
+    ~__tree();
+
+    _LIBCPP_INLINE_VISIBILITY
+          iterator begin()  _NOEXCEPT {return       iterator(__begin_node());}
+    _LIBCPP_INLINE_VISIBILITY
+    const_iterator begin() const _NOEXCEPT {return const_iterator(__begin_node());}
+    _LIBCPP_INLINE_VISIBILITY
+          iterator end() _NOEXCEPT {return       iterator(__end_node());}
+    _LIBCPP_INLINE_VISIBILITY
+    const_iterator end() const _NOEXCEPT {return const_iterator(__end_node());}
+
+    _LIBCPP_INLINE_VISIBILITY
+    size_type max_size() const _NOEXCEPT
+        {return __node_traits::max_size(__node_alloc());}
+
+    void clear() _NOEXCEPT;
+
+    void swap(__tree& __t)
+        _NOEXCEPT_(
+            __is_nothrow_swappable<value_compare>::value &&
+            (!__node_traits::propagate_on_container_swap::value ||
+             __is_nothrow_swappable<__node_allocator>::value));
+
+#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
+#ifndef _LIBCPP_HAS_NO_VARIADICS
+    template <class... _Args>
+        pair<iterator, bool>
+        __emplace_unique(_Args&&... __args);
+    template <class... _Args>
+        iterator
+        __emplace_multi(_Args&&... __args);
+
+    template <class... _Args>
+        iterator
+        __emplace_hint_unique(const_iterator __p, _Args&&... __args);
+    template <class... _Args>
+        iterator
+        __emplace_hint_multi(const_iterator __p, _Args&&... __args);
+#endif  // _LIBCPP_HAS_NO_VARIADICS
+
+    template <class _Vp>
+        pair<iterator, bool> __insert_unique(_Vp&& __v);
+    template <class _Vp>
+        iterator __insert_unique(const_iterator __p, _Vp&& __v);
+    template <class _Vp>
+        iterator __insert_multi(_Vp&& __v);
+    template <class _Vp>
+        iterator __insert_multi(const_iterator __p, _Vp&& __v);
+#endif  // _LIBCPP_HAS_NO_RVALUE_REFERENCES
+
+    pair<iterator, bool> __insert_unique(const value_type& __v);
+    iterator __insert_unique(const_iterator __p, const value_type& __v);
+    iterator __insert_multi(const value_type& __v);
+    iterator __insert_multi(const_iterator __p, const value_type& __v);
+
+    pair<iterator, bool> __node_insert_unique(__node_pointer __nd);
+    iterator             __node_insert_unique(const_iterator __p,
+                                              __node_pointer __nd);
+
+    iterator __node_insert_multi(__node_pointer __nd);
+    iterator __node_insert_multi(const_iterator __p, __node_pointer __nd);
+
+    iterator erase(const_iterator __p);
+    iterator erase(const_iterator __f, const_iterator __l);
+    template <class _Key>
+        size_type __erase_unique(const _Key& __k);
+    template <class _Key>
+        size_type __erase_multi(const _Key& __k);
+
+    void __insert_node_at(__node_base_pointer __parent,
+                          __node_base_pointer& __child,
+                          __node_base_pointer __new_node);
+
+    template <class _Key>
+        iterator find(const _Key& __v);
+    template <class _Key>
+        const_iterator find(const _Key& __v) const;
+
+    template <class _Key>
+        size_type __count_unique(const _Key& __k) const;
+    template <class _Key>
+        size_type __count_multi(const _Key& __k) const;
+
+    template <class _Key>
+        _LIBCPP_INLINE_VISIBILITY
+        iterator lower_bound(const _Key& __v)
+            {return __lower_bound(__v, __root(), __end_node());}
+    template <class _Key>
+        iterator __lower_bound(const _Key& __v,
+                               __node_pointer __root,
+                               __node_pointer __result);
+    template <class _Key>
+        _LIBCPP_INLINE_VISIBILITY
+        const_iterator lower_bound(const _Key& __v) const
+            {return __lower_bound(__v, __root(), __end_node());}
+    template <class _Key>
+        const_iterator __lower_bound(const _Key& __v,
+                                     __node_const_pointer __root,
+                                     __node_const_pointer __result) const;
+    template <class _Key>
+        _LIBCPP_INLINE_VISIBILITY
+        iterator upper_bound(const _Key& __v)
+            {return __upper_bound(__v, __root(), __end_node());}
+    template <class _Key>
+        iterator __upper_bound(const _Key& __v,
+                               __node_pointer __root,
+                               __node_pointer __result);
+    template <class _Key>
+        _LIBCPP_INLINE_VISIBILITY
+        const_iterator upper_bound(const _Key& __v) const
+            {return __upper_bound(__v, __root(), __end_node());}
+    template <class _Key>
+        const_iterator __upper_bound(const _Key& __v,
+                                     __node_const_pointer __root,
+                                     __node_const_pointer __result) const;
+    template <class _Key>
+        pair<iterator, iterator>
+        __equal_range_unique(const _Key& __k);
+    template <class _Key>
+        pair<const_iterator, const_iterator>
+        __equal_range_unique(const _Key& __k) const;
+
+    template <class _Key>
+        pair<iterator, iterator>
+        __equal_range_multi(const _Key& __k);
+    template <class _Key>
+        pair<const_iterator, const_iterator>
+        __equal_range_multi(const _Key& __k) const;
+
+    typedef __tree_node_destructor<__node_allocator> _Dp;
+    typedef unique_ptr<__node, _Dp> __node_holder;
+
+    __node_holder remove(const_iterator __p) _NOEXCEPT;
+private:
+    typename __node_base::pointer&
+        __find_leaf_low(typename __node_base::pointer& __parent, const value_type& __v);
+    typename __node_base::pointer&
+        __find_leaf_high(typename __node_base::pointer& __parent, const value_type& __v);
+    typename __node_base::pointer&
+        __find_leaf(const_iterator __hint,
+                    typename __node_base::pointer& __parent, const value_type& __v);
+    template <class _Key>
+        typename __node_base::pointer&
+        __find_equal(typename __node_base::pointer& __parent, const _Key& __v);
+    template <class _Key>
+        typename __node_base::pointer&
+        __find_equal(const_iterator __hint, typename __node_base::pointer& __parent,
+                     const _Key& __v);
+
+#if !defined(_LIBCPP_HAS_NO_RVALUE_REFERENCES) && !defined(_LIBCPP_HAS_NO_VARIADICS)
+    template <class ..._Args>
+        __node_holder __construct_node(_Args&& ...__args);
+#else  // !defined(_LIBCPP_HAS_NO_RVALUE_REFERENCES) && !defined(_LIBCPP_HAS_NO_VARIADICS)
+        __node_holder __construct_node(const value_type& __v);
+#endif
+
+    void destroy(__node_pointer __nd) _NOEXCEPT;
+
+    _LIBCPP_INLINE_VISIBILITY
+    void __copy_assign_alloc(const __tree& __t)
+        {__copy_assign_alloc(__t, integral_constant<bool,
+             __node_traits::propagate_on_container_copy_assignment::value>());}
+
+    _LIBCPP_INLINE_VISIBILITY
+    void __copy_assign_alloc(const __tree& __t, true_type)
+        {__node_alloc() = __t.__node_alloc();}
+    _LIBCPP_INLINE_VISIBILITY
+    void __copy_assign_alloc(const __tree& __t, false_type) {}
+
+    void __move_assign(__tree& __t, false_type);
+    void __move_assign(__tree& __t, true_type)
+        _NOEXCEPT_(is_nothrow_move_assignable<value_compare>::value &&
+                   is_nothrow_move_assignable<__node_allocator>::value);
+
+    _LIBCPP_INLINE_VISIBILITY
+    void __move_assign_alloc(__tree& __t)
+        _NOEXCEPT_(
+            !__node_traits::propagate_on_container_move_assignment::value ||
+            is_nothrow_move_assignable<__node_allocator>::value)
+        {__move_assign_alloc(__t, integral_constant<bool,
+             __node_traits::propagate_on_container_move_assignment::value>());}
+
+    _LIBCPP_INLINE_VISIBILITY
+    void __move_assign_alloc(__tree& __t, true_type)
+        _NOEXCEPT_(is_nothrow_move_assignable<__node_allocator>::value)
+        {__node_alloc() = _VSTD::move(__t.__node_alloc());}
+    _LIBCPP_INLINE_VISIBILITY
+    void __move_assign_alloc(__tree& __t, false_type) _NOEXCEPT {}
+
+    _LIBCPP_INLINE_VISIBILITY
+    static void __swap_alloc(__node_allocator& __x, __node_allocator& __y)
+        _NOEXCEPT_(
+            !__node_traits::propagate_on_container_swap::value ||
+            __is_nothrow_swappable<__node_allocator>::value)
+        {__swap_alloc(__x, __y, integral_constant<bool,
+                      __node_traits::propagate_on_container_swap::value>());}
+    _LIBCPP_INLINE_VISIBILITY
+    static void __swap_alloc(__node_allocator& __x, __node_allocator& __y, true_type)
+        _NOEXCEPT_(__is_nothrow_swappable<__node_allocator>::value)
+        {
+            using _VSTD::swap;
+            swap(__x, __y);
+        }
+    _LIBCPP_INLINE_VISIBILITY
+    static void __swap_alloc(__node_allocator& __x, __node_allocator& __y, false_type)
+        _NOEXCEPT
+        {}
+
+    __node_pointer __detach();
+    static __node_pointer __detach(__node_pointer);
+
+    template <class, class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY map;
+    template <class, class, class, class> friend class _LIBCPP_TYPE_VIS_ONLY multimap;
+};
+
+template <class _Tp, class _Compare, class _Allocator>
+__tree<_Tp, _Compare, _Allocator>::__tree(const value_compare& __comp)
+        _NOEXCEPT_(
+            is_nothrow_default_constructible<__node_allocator>::value &&
+            is_nothrow_copy_constructible<value_compare>::value)
+    : __pair3_(0, __comp)
+{
+    __begin_node() = __end_node();
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+__tree<_Tp, _Compare, _Allocator>::__tree(const allocator_type& __a)
+    : __pair1_(__node_allocator(__a)),
+      __begin_node_(__node_pointer()),
+      __pair3_(0)
+{
+    __begin_node() = __end_node();
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+__tree<_Tp, _Compare, _Allocator>::__tree(const value_compare& __comp,
+                                           const allocator_type& __a)
+    : __pair1_(__node_allocator(__a)),
+      __begin_node_(__node_pointer()),
+      __pair3_(0, __comp)
+{
+    __begin_node() = __end_node();
+}
+
+// Precondition:  size() != 0
+template <class _Tp, class _Compare, class _Allocator>
+typename __tree<_Tp, _Compare, _Allocator>::__node_pointer
+__tree<_Tp, _Compare, _Allocator>::__detach()
+{
+    __node_pointer __cache = __begin_node();
+    __begin_node() = __end_node();
+    __end_node()->__left_->__parent_ = nullptr;
+    __end_node()->__left_ = nullptr;
+    size() = 0;
+    // __cache->__left_ == nullptr
+    if (__cache->__right_ != nullptr)
+        __cache = static_cast<__node_pointer>(__cache->__right_);
+    // __cache->__left_ == nullptr
+    // __cache->__right_ == nullptr
+    return __cache;
+}
+
+// Precondition:  __cache != nullptr
+//    __cache->left_ == nullptr
+//    __cache->right_ == nullptr
+//    This is no longer a red-black tree
+template <class _Tp, class _Compare, class _Allocator>
+typename __tree<_Tp, _Compare, _Allocator>::__node_pointer
+__tree<_Tp, _Compare, _Allocator>::__detach(__node_pointer __cache)
+{
+    if (__cache->__parent_ == nullptr)
+        return nullptr;
+    if (__tree_is_left_child(static_cast<__node_base_pointer>(__cache)))
+    {
+        __cache->__parent_->__left_ = nullptr;
+        __cache = static_cast<__node_pointer>(__cache->__parent_);
+        if (__cache->__right_ == nullptr)
+            return __cache;
+        return static_cast<__node_pointer>(__tree_leaf(__cache->__right_));
+    }
+    // __cache is right child
+    __cache->__parent_->__right_ = nullptr;
+    __cache = static_cast<__node_pointer>(__cache->__parent_);
+    if (__cache->__left_ == nullptr)
+        return __cache;
+    return static_cast<__node_pointer>(__tree_leaf(__cache->__left_));
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+__tree<_Tp, _Compare, _Allocator>&
+__tree<_Tp, _Compare, _Allocator>::operator=(const __tree& __t)
+{
+    if (this != &__t)
+    {
+        value_comp() = __t.value_comp();
+        __copy_assign_alloc(__t);
+        __assign_multi(__t.begin(), __t.end());
+    }
+    return *this;
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _InputIterator>
+void
+__tree<_Tp, _Compare, _Allocator>::__assign_unique(_InputIterator __first, _InputIterator __last)
+{
+    if (size() != 0)
+    {
+        __node_pointer __cache = __detach();
+#ifndef _LIBCPP_NO_EXCEPTIONS
+        try
+        {
+#endif  // _LIBCPP_NO_EXCEPTIONS
+            for (; __cache != nullptr && __first != __last; ++__first)
+            {
+                __cache->__value_ = *__first;
+                __node_pointer __next = __detach(__cache);
+                __node_insert_unique(__cache);
+                __cache = __next;
+            }
+#ifndef _LIBCPP_NO_EXCEPTIONS
+        }
+        catch (...)
+        {
+            while (__cache->__parent_ != nullptr)
+                __cache = static_cast<__node_pointer>(__cache->__parent_);
+            destroy(__cache);
+            throw;
+        }
+#endif  // _LIBCPP_NO_EXCEPTIONS
+        if (__cache != nullptr)
+        {
+            while (__cache->__parent_ != nullptr)
+                __cache = static_cast<__node_pointer>(__cache->__parent_);
+            destroy(__cache);
+        }
+    }
+    for (; __first != __last; ++__first)
+        __insert_unique(*__first);
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _InputIterator>
+void
+__tree<_Tp, _Compare, _Allocator>::__assign_multi(_InputIterator __first, _InputIterator __last)
+{
+    if (size() != 0)
+    {
+        __node_pointer __cache = __detach();
+#ifndef _LIBCPP_NO_EXCEPTIONS
+        try
+        {
+#endif  // _LIBCPP_NO_EXCEPTIONS
+            for (; __cache != nullptr && __first != __last; ++__first)
+            {
+                __cache->__value_ = *__first;
+                __node_pointer __next = __detach(__cache);
+                __node_insert_multi(__cache);
+                __cache = __next;
+            }
+#ifndef _LIBCPP_NO_EXCEPTIONS
+        }
+        catch (...)
+        {
+            while (__cache->__parent_ != nullptr)
+                __cache = static_cast<__node_pointer>(__cache->__parent_);
+            destroy(__cache);
+            throw;
+        }
+#endif  // _LIBCPP_NO_EXCEPTIONS
+        if (__cache != nullptr)
+        {
+            while (__cache->__parent_ != nullptr)
+                __cache = static_cast<__node_pointer>(__cache->__parent_);
+            destroy(__cache);
+        }
+    }
+    for (; __first != __last; ++__first)
+        __insert_multi(*__first);
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+__tree<_Tp, _Compare, _Allocator>::__tree(const __tree& __t)
+    : __begin_node_(__node_pointer()),
+      __pair1_(__node_traits::select_on_container_copy_construction(__t.__node_alloc())),
+      __pair3_(0, __t.value_comp())
+{
+    __begin_node() = __end_node();
+}
+
+#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
+
+template <class _Tp, class _Compare, class _Allocator>
+__tree<_Tp, _Compare, _Allocator>::__tree(__tree&& __t)
+    _NOEXCEPT_(
+        is_nothrow_move_constructible<__node_allocator>::value &&
+        is_nothrow_move_constructible<value_compare>::value)
+    : __begin_node_(_VSTD::move(__t.__begin_node_)),
+      __pair1_(_VSTD::move(__t.__pair1_)),
+      __pair3_(_VSTD::move(__t.__pair3_))
+{
+    if (size() == 0)
+        __begin_node() = __end_node();
+    else
+    {
+        __end_node()->__left_->__parent_ = static_cast<__node_base_pointer>(__end_node());
+        __t.__begin_node() = __t.__end_node();
+        __t.__end_node()->__left_ = nullptr;
+        __t.size() = 0;
+    }
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+__tree<_Tp, _Compare, _Allocator>::__tree(__tree&& __t, const allocator_type& __a)
+    : __pair1_(__node_allocator(__a)),
+      __pair3_(0, _VSTD::move(__t.value_comp()))
+{
+    if (__a == __t.__alloc())
+    {
+        if (__t.size() == 0)
+            __begin_node() = __end_node();
+        else
+        {
+            __begin_node() = __t.__begin_node();
+            __end_node()->__left_ = __t.__end_node()->__left_;
+            __end_node()->__left_->__parent_ = static_cast<__node_base_pointer>(__end_node());
+            size() = __t.size();
+            __t.__begin_node() = __t.__end_node();
+            __t.__end_node()->__left_ = nullptr;
+            __t.size() = 0;
+        }
+    }
+    else
+    {
+        __begin_node() = __end_node();
+    }
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+void
+__tree<_Tp, _Compare, _Allocator>::__move_assign(__tree& __t, true_type)
+    _NOEXCEPT_(is_nothrow_move_assignable<value_compare>::value &&
+               is_nothrow_move_assignable<__node_allocator>::value)
+{
+    destroy(static_cast<__node_pointer>(__end_node()->__left_));
+    __begin_node_ = __t.__begin_node_;
+    __pair1_.first() = __t.__pair1_.first();
+    __move_assign_alloc(__t);
+    __pair3_ = _VSTD::move(__t.__pair3_);
+    if (size() == 0)
+        __begin_node() = __end_node();
+    else
+    {
+        __end_node()->__left_->__parent_ = static_cast<__node_base_pointer>(__end_node());
+        __t.__begin_node() = __t.__end_node();
+        __t.__end_node()->__left_ = nullptr;
+        __t.size() = 0;
+    }
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+void
+__tree<_Tp, _Compare, _Allocator>::__move_assign(__tree& __t, false_type)
+{
+    if (__node_alloc() == __t.__node_alloc())
+        __move_assign(__t, true_type());
+    else
+    {
+        value_comp() = _VSTD::move(__t.value_comp());
+        const_iterator __e = end();
+        if (size() != 0)
+        {
+            __node_pointer __cache = __detach();
+#ifndef _LIBCPP_NO_EXCEPTIONS
+            try
+            {
+#endif  // _LIBCPP_NO_EXCEPTIONS
+                while (__cache != nullptr && __t.size() != 0)
+                {
+                    __cache->__value_ = _VSTD::move(__t.remove(__t.begin())->__value_);
+                    __node_pointer __next = __detach(__cache);
+                    __node_insert_multi(__cache);
+                    __cache = __next;
+                }
+#ifndef _LIBCPP_NO_EXCEPTIONS
+            }
+            catch (...)
+            {
+                while (__cache->__parent_ != nullptr)
+                    __cache = static_cast<__node_pointer>(__cache->__parent_);
+                destroy(__cache);
+                throw;
+            }
+#endif  // _LIBCPP_NO_EXCEPTIONS
+            if (__cache != nullptr)
+            {
+                while (__cache->__parent_ != nullptr)
+                    __cache = static_cast<__node_pointer>(__cache->__parent_);
+                destroy(__cache);
+            }
+        }
+        while (__t.size() != 0)
+            __insert_multi(__e, _VSTD::move(__t.remove(__t.begin())->__value_));
+    }
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+__tree<_Tp, _Compare, _Allocator>&
+__tree<_Tp, _Compare, _Allocator>::operator=(__tree&& __t)
+    _NOEXCEPT_(
+        __node_traits::propagate_on_container_move_assignment::value &&
+        is_nothrow_move_assignable<value_compare>::value &&
+        is_nothrow_move_assignable<__node_allocator>::value)
+        
+{
+    __move_assign(__t, integral_constant<bool,
+                  __node_traits::propagate_on_container_move_assignment::value>());
+    return *this;
+}
+
+#endif  // _LIBCPP_HAS_NO_RVALUE_REFERENCES
+
+template <class _Tp, class _Compare, class _Allocator>
+__tree<_Tp, _Compare, _Allocator>::~__tree()
+{
+    destroy(__root());
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+void
+__tree<_Tp, _Compare, _Allocator>::destroy(__node_pointer __nd) _NOEXCEPT
+{
+    if (__nd != nullptr)
+    {
+        destroy(static_cast<__node_pointer>(__nd->__left_));
+        destroy(static_cast<__node_pointer>(__nd->__right_));
+        __node_allocator& __na = __node_alloc();
+        __node_traits::destroy(__na, _VSTD::addressof(__nd->__value_));
+        __node_traits::deallocate(__na, __nd, 1);
+    }
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+void
+__tree<_Tp, _Compare, _Allocator>::swap(__tree& __t)
+    _NOEXCEPT_(
+        __is_nothrow_swappable<value_compare>::value &&
+        (!__node_traits::propagate_on_container_swap::value ||
+         __is_nothrow_swappable<__node_allocator>::value))
+{
+    using _VSTD::swap;
+    swap(__begin_node_, __t.__begin_node_);
+    swap(__pair1_.first(), __t.__pair1_.first());
+    __swap_alloc(__node_alloc(), __t.__node_alloc());
+    __pair3_.swap(__t.__pair3_);
+    if (size() == 0)
+        __begin_node() = __end_node();
+    else
+        __end_node()->__left_->__parent_ = static_cast<__node_base_pointer>(__end_node());
+    if (__t.size() == 0)
+        __t.__begin_node() = __t.__end_node();
+    else
+        __t.__end_node()->__left_->__parent_ = static_cast<__node_base_pointer>(__t.__end_node());
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+void
+__tree<_Tp, _Compare, _Allocator>::clear() _NOEXCEPT
+{
+    destroy(__root());
+    size() = 0;
+    __begin_node() = __end_node();
+    __end_node()->__left_ = nullptr;
+}
+
+// Find lower_bound place to insert
+// Set __parent to parent of null leaf
+// Return reference to null leaf
+template <class _Tp, class _Compare, class _Allocator>
+typename __tree<_Tp, _Compare, _Allocator>::__node_base::pointer&
+__tree<_Tp, _Compare, _Allocator>::__find_leaf_low(typename __node_base::pointer& __parent,
+                                                   const value_type& __v)
+{
+    __node_pointer __nd = __root();
+    if (__nd != nullptr)
+    {
+        while (true)
+        {
+            if (value_comp()(__nd->__value_, __v))
+            {
+                if (__nd->__right_ != nullptr)
+                    __nd = static_cast<__node_pointer>(__nd->__right_);
+                else
+                {
+                    __parent = static_cast<__node_base_pointer>(__nd);
+                    return __parent->__right_;
+                }
+            }
+            else
+            {
+                if (__nd->__left_ != nullptr)
+                    __nd = static_cast<__node_pointer>(__nd->__left_);
+                else
+                {
+                    __parent = static_cast<__node_base_pointer>(__nd);
+                    return __parent->__left_;
+                }
+            }
+        }
+    }
+    __parent = static_cast<__node_base_pointer>(__end_node());
+    return __parent->__left_;
+}
+
+// Find upper_bound place to insert
+// Set __parent to parent of null leaf
+// Return reference to null leaf
+template <class _Tp, class _Compare, class _Allocator>
+typename __tree<_Tp, _Compare, _Allocator>::__node_base::pointer&
+__tree<_Tp, _Compare, _Allocator>::__find_leaf_high(typename __node_base::pointer& __parent,
+                                                    const value_type& __v)
+{
+    __node_pointer __nd = __root();
+    if (__nd != nullptr)
+    {
+        while (true)
+        {
+            if (value_comp()(__v, __nd->__value_))
+            {
+                if (__nd->__left_ != nullptr)
+                    __nd = static_cast<__node_pointer>(__nd->__left_);
+                else
+                {
+                    __parent = static_cast<__node_base_pointer>(__nd);
+                    return __parent->__left_;
+                }
+            }
+            else
+            {
+                if (__nd->__right_ != nullptr)
+                    __nd = static_cast<__node_pointer>(__nd->__right_);
+                else
+                {
+                    __parent = static_cast<__node_base_pointer>(__nd);
+                    return __parent->__right_;
+                }
+            }
+        }
+    }
+    __parent = static_cast<__node_base_pointer>(__end_node());
+    return __parent->__left_;
+}
+
+// Find leaf place to insert closest to __hint
+// First check prior to __hint.
+// Next check after __hint.
+// Next do O(log N) search.
+// Set __parent to parent of null leaf
+// Return reference to null leaf
+template <class _Tp, class _Compare, class _Allocator>
+typename __tree<_Tp, _Compare, _Allocator>::__node_base::pointer&
+__tree<_Tp, _Compare, _Allocator>::__find_leaf(const_iterator __hint,
+                                               typename __node_base::pointer& __parent,
+                                               const value_type& __v)
+{
+    if (__hint == end() || !value_comp()(*__hint, __v))  // check before
+    {
+        // __v <= *__hint
+        const_iterator __prior = __hint;
+        if (__prior == begin() || !value_comp()(__v, *--__prior))
+        {
+            // *prev(__hint) <= __v <= *__hint
+            if (__hint.__ptr_->__left_ == nullptr)
+            {
+                __parent = static_cast<__node_base_pointer>(__hint.__ptr_);
+                return __parent->__left_;
+            }
+            else
+            {
+                __parent = static_cast<__node_base_pointer>(__prior.__ptr_);
+                return __parent->__right_;
+            }
+        }
+        // __v < *prev(__hint)
+        return __find_leaf_high(__parent, __v);
+    }
+    // else __v > *__hint
+    return __find_leaf_low(__parent, __v);
+}
+
+// Find place to insert if __v doesn't exist
+// Set __parent to parent of null leaf
+// Return reference to null leaf
+// If __v exists, set parent to node of __v and return reference to node of __v
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Key>
+typename __tree<_Tp, _Compare, _Allocator>::__node_base::pointer&
+__tree<_Tp, _Compare, _Allocator>::__find_equal(typename __node_base::pointer& __parent,
+                                                const _Key& __v)
+{
+    __node_pointer __nd = __root();
+    if (__nd != nullptr)
+    {
+        while (true)
+        {
+            if (value_comp()(__v, __nd->__value_))
+            {
+                if (__nd->__left_ != nullptr)
+                    __nd = static_cast<__node_pointer>(__nd->__left_);
+                else
+                {
+                    __parent = static_cast<__node_base_pointer>(__nd);
+                    return __parent->__left_;
+                }
+            }
+            else if (value_comp()(__nd->__value_, __v))
+            {
+                if (__nd->__right_ != nullptr)
+                    __nd = static_cast<__node_pointer>(__nd->__right_);
+                else
+                {
+                    __parent = static_cast<__node_base_pointer>(__nd);
+                    return __parent->__right_;
+                }
+            }
+            else
+            {
+                __parent = static_cast<__node_base_pointer>(__nd);
+                return __parent;
+            }
+        }
+    }
+    __parent = static_cast<__node_base_pointer>(__end_node());
+    return __parent->__left_;
+}
+
+// Find place to insert if __v doesn't exist
+// First check prior to __hint.
+// Next check after __hint.
+// Next do O(log N) search.
+// Set __parent to parent of null leaf
+// Return reference to null leaf
+// If __v exists, set parent to node of __v and return reference to node of __v
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Key>
+typename __tree<_Tp, _Compare, _Allocator>::__node_base::pointer&
+__tree<_Tp, _Compare, _Allocator>::__find_equal(const_iterator __hint,
+                                                typename __node_base::pointer& __parent,
+                                                const _Key& __v)
+{
+    if (__hint == end() || value_comp()(__v, *__hint))  // check before
+    {
+        // __v < *__hint
+        const_iterator __prior = __hint;
+        if (__prior == begin() || value_comp()(*--__prior, __v))
+        {
+            // *prev(__hint) < __v < *__hint
+            if (__hint.__ptr_->__left_ == nullptr)
+            {
+                __parent = static_cast<__node_base_pointer>(__hint.__ptr_);
+                return __parent->__left_;
+            }
+            else
+            {
+                __parent = static_cast<__node_base_pointer>(__prior.__ptr_);
+                return __parent->__right_;
+            }
+        }
+        // __v <= *prev(__hint)
+        return __find_equal(__parent, __v);
+    }
+    else if (value_comp()(*__hint, __v))  // check after
+    {
+        // *__hint < __v
+        const_iterator __next = _VSTD::next(__hint);
+        if (__next == end() || value_comp()(__v, *__next))
+        {
+            // *__hint < __v < *_VSTD::next(__hint)
+            if (__hint.__ptr_->__right_ == nullptr)
+            {
+                __parent = static_cast<__node_base_pointer>(__hint.__ptr_);
+                return __parent->__right_;
+            }
+            else
+            {
+                __parent = static_cast<__node_base_pointer>(__next.__ptr_);
+                return __parent->__left_;
+            }
+        }
+        // *next(__hint) <= __v
+        return __find_equal(__parent, __v);
+    }
+    // else __v == *__hint
+    __parent = static_cast<__node_base_pointer>(__hint.__ptr_);
+    return __parent;
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+void
+__tree<_Tp, _Compare, _Allocator>::__insert_node_at(__node_base_pointer __parent,
+                                                    __node_base_pointer& __child,
+                                                    __node_base_pointer __new_node)
+{
+    __new_node->__left_   = nullptr;
+    __new_node->__right_  = nullptr;
+    __new_node->__parent_ = __parent;
+    __child = __new_node;
+    if (__begin_node()->__left_ != nullptr)
+        __begin_node() = static_cast<__node_pointer>(__begin_node()->__left_);
+    __tree_balance_after_insert(__end_node()->__left_, __child);
+    ++size();
+}
+
+#ifndef _LIBCPP_HAS_NO_RVALUE_REFERENCES
+#ifndef _LIBCPP_HAS_NO_VARIADICS
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class ..._Args>
+typename __tree<_Tp, _Compare, _Allocator>::__node_holder
+__tree<_Tp, _Compare, _Allocator>::__construct_node(_Args&& ...__args)
+{
+    __node_allocator& __na = __node_alloc();
+    __node_holder __h(__node_traits::allocate(__na, 1), _Dp(__na));
+    __node_traits::construct(__na, _VSTD::addressof(__h->__value_), _VSTD::forward<_Args>(__args)...);
+    __h.get_deleter().__value_constructed = true;
+    return __h;
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class... _Args>
+pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
+__tree<_Tp, _Compare, _Allocator>::__emplace_unique(_Args&&... __args)
+{
+    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
+    __node_base_pointer __parent;
+    __node_base_pointer& __child = __find_equal(__parent, __h->__value_);
+    __node_pointer __r = static_cast<__node_pointer>(__child);
+    bool __inserted = false;
+    if (__child == nullptr)
+    {
+        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
+        __r = __h.release();
+        __inserted = true;
+    }
+    return pair<iterator, bool>(iterator(__r), __inserted);
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class... _Args>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::__emplace_hint_unique(const_iterator __p, _Args&&... __args)
+{
+    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
+    __node_base_pointer __parent;
+    __node_base_pointer& __child = __find_equal(__p, __parent, __h->__value_);
+    __node_pointer __r = static_cast<__node_pointer>(__child);
+    if (__child == nullptr)
+    {
+        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
+        __r = __h.release();
+    }
+    return iterator(__r);
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class... _Args>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::__emplace_multi(_Args&&... __args)
+{
+    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
+    __node_base_pointer __parent;
+    __node_base_pointer& __child = __find_leaf_high(__parent, __h->__value_);
+    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
+    return iterator(static_cast<__node_pointer>(__h.release()));
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class... _Args>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::__emplace_hint_multi(const_iterator __p,
+                                                        _Args&&... __args)
+{
+    __node_holder __h = __construct_node(_VSTD::forward<_Args>(__args)...);
+    __node_base_pointer __parent;
+    __node_base_pointer& __child = __find_leaf(__p, __parent, __h->__value_);
+    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
+    return iterator(static_cast<__node_pointer>(__h.release()));
+}
+
+#endif  // _LIBCPP_HAS_NO_VARIADICS
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Vp>
+pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
+__tree<_Tp, _Compare, _Allocator>::__insert_unique(_Vp&& __v)
+{
+    __node_holder __h = __construct_node(_VSTD::forward<_Vp>(__v));
+    pair<iterator, bool> __r = __node_insert_unique(__h.get());
+    if (__r.second)
+        __h.release();
+    return __r;
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Vp>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::__insert_unique(const_iterator __p, _Vp&& __v)
+{
+    __node_holder __h = __construct_node(_VSTD::forward<_Vp>(__v));
+    iterator __r = __node_insert_unique(__p, __h.get());
+    if (__r.__ptr_ == __h.get())
+        __h.release();
+    return __r;
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Vp>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::__insert_multi(_Vp&& __v)
+{
+    __node_holder __h = __construct_node(_VSTD::forward<_Vp>(__v));
+    __node_base_pointer __parent;
+    __node_base_pointer& __child = __find_leaf_high(__parent, __h->__value_);
+    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
+    return iterator(__h.release());
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Vp>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::__insert_multi(const_iterator __p, _Vp&& __v)
+{
+    __node_holder __h = __construct_node(_VSTD::forward<_Vp>(__v));
+    __node_base_pointer __parent;
+    __node_base_pointer& __child = __find_leaf(__p, __parent, __h->__value_);
+    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
+    return iterator(__h.release());
+}
+
+#else  // _LIBCPP_HAS_NO_RVALUE_REFERENCES
+
+template <class _Tp, class _Compare, class _Allocator>
+typename __tree<_Tp, _Compare, _Allocator>::__node_holder
+__tree<_Tp, _Compare, _Allocator>::__construct_node(const value_type& __v)
+{
+    __node_allocator& __na = __node_alloc();
+    __node_holder __h(__node_traits::allocate(__na, 1), _Dp(__na));
+    __node_traits::construct(__na, _VSTD::addressof(__h->__value_), __v);
+    __h.get_deleter().__value_constructed = true;
+    return _VSTD::move(__h);  // explicitly moved for C++03
+}
+
+#endif  // _LIBCPP_HAS_NO_RVALUE_REFERENCES
+
+template <class _Tp, class _Compare, class _Allocator>
+pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
+__tree<_Tp, _Compare, _Allocator>::__insert_unique(const value_type& __v)
+{
+    __node_base_pointer __parent;
+    __node_base_pointer& __child = __find_equal(__parent, __v);
+    __node_pointer __r = static_cast<__node_pointer>(__child);
+    bool __inserted = false;
+    if (__child == nullptr)
+    {
+        __node_holder __h = __construct_node(__v);
+        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
+        __r = __h.release();
+        __inserted = true;
+    }
+    return pair<iterator, bool>(iterator(__r), __inserted);
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::__insert_unique(const_iterator __p, const value_type& __v)
+{
+    __node_base_pointer __parent;
+    __node_base_pointer& __child = __find_equal(__p, __parent, __v);
+    __node_pointer __r = static_cast<__node_pointer>(__child);
+    if (__child == nullptr)
+    {
+        __node_holder __h = __construct_node(__v);
+        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
+        __r = __h.release();
+    }
+    return iterator(__r);
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::__insert_multi(const value_type& __v)
+{
+    __node_base_pointer __parent;
+    __node_base_pointer& __child = __find_leaf_high(__parent, __v);
+    __node_holder __h = __construct_node(__v);
+    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
+    return iterator(__h.release());
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::__insert_multi(const_iterator __p, const value_type& __v)
+{
+    __node_base_pointer __parent;
+    __node_base_pointer& __child = __find_leaf(__p, __parent, __v);
+    __node_holder __h = __construct_node(__v);
+    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__h.get()));
+    return iterator(__h.release());
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+pair<typename __tree<_Tp, _Compare, _Allocator>::iterator, bool>
+__tree<_Tp, _Compare, _Allocator>::__node_insert_unique(__node_pointer __nd)
+{
+    __node_base_pointer __parent;
+    __node_base_pointer& __child = __find_equal(__parent, __nd->__value_);
+    __node_pointer __r = static_cast<__node_pointer>(__child);
+    bool __inserted = false;
+    if (__child == nullptr)
+    {
+        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
+        __r = __nd;
+        __inserted = true;
+    }
+    return pair<iterator, bool>(iterator(__r), __inserted);
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::__node_insert_unique(const_iterator __p,
+                                                        __node_pointer __nd)
+{
+    __node_base_pointer __parent;
+    __node_base_pointer& __child = __find_equal(__p, __parent, __nd->__value_);
+    __node_pointer __r = static_cast<__node_pointer>(__child);
+    if (__child == nullptr)
+    {
+        __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
+        __r = __nd;
+    }
+    return iterator(__r);
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::__node_insert_multi(__node_pointer __nd)
+{
+    __node_base_pointer __parent;
+    __node_base_pointer& __child = __find_leaf_high(__parent, __nd->__value_);
+    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
+    return iterator(__nd);
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::__node_insert_multi(const_iterator __p,
+                                                       __node_pointer __nd)
+{
+    __node_base_pointer __parent;
+    __node_base_pointer& __child = __find_leaf(__p, __parent, __nd->__value_);
+    __insert_node_at(__parent, __child, static_cast<__node_base_pointer>(__nd));
+    return iterator(__nd);
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::erase(const_iterator __p)
+{
+    __node_pointer __np = __p.__ptr_;
+    iterator __r(__np);
+    ++__r;
+    if (__begin_node() == __np)
+        __begin_node() = __r.__ptr_;
+    --size();
+    __node_allocator& __na = __node_alloc();
+    __node_traits::destroy(__na, const_cast<value_type*>(_VSTD::addressof(*__p)));
+    __tree_remove(__end_node()->__left_,
+                  static_cast<__node_base_pointer>(__np));
+    __node_traits::deallocate(__na, __np, 1);
+    return __r;
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::erase(const_iterator __f, const_iterator __l)
+{
+    while (__f != __l)
+        __f = erase(__f);
+    return iterator(__l.__ptr_);
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Key>
+typename __tree<_Tp, _Compare, _Allocator>::size_type
+__tree<_Tp, _Compare, _Allocator>::__erase_unique(const _Key& __k)
+{
+    iterator __i = find(__k);
+    if (__i == end())
+        return 0;
+    erase(__i);
+    return 1;
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Key>
+typename __tree<_Tp, _Compare, _Allocator>::size_type
+__tree<_Tp, _Compare, _Allocator>::__erase_multi(const _Key& __k)
+{
+    pair<iterator, iterator> __p = __equal_range_multi(__k);
+    size_type __r = 0;
+    for (; __p.first != __p.second; ++__r)
+        __p.first = erase(__p.first);
+    return __r;
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Key>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::find(const _Key& __v)
+{
+    iterator __p = __lower_bound(__v, __root(), __end_node());
+    if (__p != end() && !value_comp()(__v, *__p))
+        return __p;
+    return end();
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Key>
+typename __tree<_Tp, _Compare, _Allocator>::const_iterator
+__tree<_Tp, _Compare, _Allocator>::find(const _Key& __v) const
+{
+    const_iterator __p = __lower_bound(__v, __root(), __end_node());
+    if (__p != end() && !value_comp()(__v, *__p))
+        return __p;
+    return end();
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Key>
+typename __tree<_Tp, _Compare, _Allocator>::size_type
+__tree<_Tp, _Compare, _Allocator>::__count_unique(const _Key& __k) const
+{
+    __node_const_pointer __result = __end_node();
+    __node_const_pointer __rt = __root();
+    while (__rt != nullptr)
+    {
+        if (value_comp()(__k, __rt->__value_))
+        {
+            __result = __rt;
+            __rt = static_cast<__node_const_pointer>(__rt->__left_);
+        }
+        else if (value_comp()(__rt->__value_, __k))
+            __rt = static_cast<__node_const_pointer>(__rt->__right_);
+        else
+            return 1;
+    }
+    return 0;
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Key>
+typename __tree<_Tp, _Compare, _Allocator>::size_type
+__tree<_Tp, _Compare, _Allocator>::__count_multi(const _Key& __k) const
+{
+    typedef pair<const_iterator, const_iterator> _Pp;
+    __node_const_pointer __result = __end_node();
+    __node_const_pointer __rt = __root();
+    while (__rt != nullptr)
+    {
+        if (value_comp()(__k, __rt->__value_))
+        {
+            __result = __rt;
+            __rt = static_cast<__node_const_pointer>(__rt->__left_);
+        }
+        else if (value_comp()(__rt->__value_, __k))
+            __rt = static_cast<__node_const_pointer>(__rt->__right_);
+        else
+            return _VSTD::distance(
+                __lower_bound(__k, static_cast<__node_const_pointer>(__rt->__left_), __rt),
+                __upper_bound(__k, static_cast<__node_const_pointer>(__rt->__right_), __result)
+            );
+    }
+    return 0;
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Key>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::__lower_bound(const _Key& __v,
+                                                 __node_pointer __root,
+                                                 __node_pointer __result)
+{
+    while (__root != nullptr)
+    {
+        if (!value_comp()(__root->__value_, __v))
+        {
+            __result = __root;
+            __root = static_cast<__node_pointer>(__root->__left_);
+        }
+        else
+            __root = static_cast<__node_pointer>(__root->__right_);
+    }
+    return iterator(__result);
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Key>
+typename __tree<_Tp, _Compare, _Allocator>::const_iterator
+__tree<_Tp, _Compare, _Allocator>::__lower_bound(const _Key& __v,
+                                                 __node_const_pointer __root,
+                                                 __node_const_pointer __result) const
+{
+    while (__root != nullptr)
+    {
+        if (!value_comp()(__root->__value_, __v))
+        {
+            __result = __root;
+            __root = static_cast<__node_const_pointer>(__root->__left_);
+        }
+        else
+            __root = static_cast<__node_const_pointer>(__root->__right_);
+    }
+    return const_iterator(__result);
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Key>
+typename __tree<_Tp, _Compare, _Allocator>::iterator
+__tree<_Tp, _Compare, _Allocator>::__upper_bound(const _Key& __v,
+                                                 __node_pointer __root,
+                                                 __node_pointer __result)
+{
+    while (__root != nullptr)
+    {
+        if (value_comp()(__v, __root->__value_))
+        {
+            __result = __root;
+            __root = static_cast<__node_pointer>(__root->__left_);
+        }
+        else
+            __root = static_cast<__node_pointer>(__root->__right_);
+    }
+    return iterator(__result);
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Key>
+typename __tree<_Tp, _Compare, _Allocator>::const_iterator
+__tree<_Tp, _Compare, _Allocator>::__upper_bound(const _Key& __v,
+                                                 __node_const_pointer __root,
+                                                 __node_const_pointer __result) const
+{
+    while (__root != nullptr)
+    {
+        if (value_comp()(__v, __root->__value_))
+        {
+            __result = __root;
+            __root = static_cast<__node_const_pointer>(__root->__left_);
+        }
+        else
+            __root = static_cast<__node_const_pointer>(__root->__right_);
+    }
+    return const_iterator(__result);
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Key>
+pair<typename __tree<_Tp, _Compare, _Allocator>::iterator,
+     typename __tree<_Tp, _Compare, _Allocator>::iterator>
+__tree<_Tp, _Compare, _Allocator>::__equal_range_unique(const _Key& __k)
+{
+    typedef pair<iterator, iterator> _Pp;
+    __node_pointer __result = __end_node();
+    __node_pointer __rt = __root();
+    while (__rt != nullptr)
+    {
+        if (value_comp()(__k, __rt->__value_))
+        {
+            __result = __rt;
+            __rt = static_cast<__node_pointer>(__rt->__left_);
+        }
+        else if (value_comp()(__rt->__value_, __k))
+            __rt = static_cast<__node_pointer>(__rt->__right_);
+        else
+            return _Pp(iterator(__rt),
+                      iterator(
+                          __rt->__right_ != nullptr ?
+                              static_cast<__node_pointer>(__tree_min(__rt->__right_))
+                            : __result));
+    }
+    return _Pp(iterator(__result), iterator(__result));
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Key>
+pair<typename __tree<_Tp, _Compare, _Allocator>::const_iterator,
+     typename __tree<_Tp, _Compare, _Allocator>::const_iterator>
+__tree<_Tp, _Compare, _Allocator>::__equal_range_unique(const _Key& __k) const
+{
+    typedef pair<const_iterator, const_iterator> _Pp;
+    __node_const_pointer __result = __end_node();
+    __node_const_pointer __rt = __root();
+    while (__rt != nullptr)
+    {
+        if (value_comp()(__k, __rt->__value_))
+        {
+            __result = __rt;
+            __rt = static_cast<__node_const_pointer>(__rt->__left_);
+        }
+        else if (value_comp()(__rt->__value_, __k))
+            __rt = static_cast<__node_const_pointer>(__rt->__right_);
+        else
+            return _Pp(const_iterator(__rt),
+                      const_iterator(
+                          __rt->__right_ != nullptr ?
+                              static_cast<__node_const_pointer>(__tree_min(__rt->__right_))
+                            : __result));
+    }
+    return _Pp(const_iterator(__result), const_iterator(__result));
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Key>
+pair<typename __tree<_Tp, _Compare, _Allocator>::iterator,
+     typename __tree<_Tp, _Compare, _Allocator>::iterator>
+__tree<_Tp, _Compare, _Allocator>::__equal_range_multi(const _Key& __k)
+{
+    typedef pair<iterator, iterator> _Pp;
+    __node_pointer __result = __end_node();
+    __node_pointer __rt = __root();
+    while (__rt != nullptr)
+    {
+        if (value_comp()(__k, __rt->__value_))
+        {
+            __result = __rt;
+            __rt = static_cast<__node_pointer>(__rt->__left_);
+        }
+        else if (value_comp()(__rt->__value_, __k))
+            __rt = static_cast<__node_pointer>(__rt->__right_);
+        else
+            return _Pp(__lower_bound(__k, static_cast<__node_pointer>(__rt->__left_), __rt),
+                      __upper_bound(__k, static_cast<__node_pointer>(__rt->__right_), __result));
+    }
+    return _Pp(iterator(__result), iterator(__result));
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+template <class _Key>
+pair<typename __tree<_Tp, _Compare, _Allocator>::const_iterator,
+     typename __tree<_Tp, _Compare, _Allocator>::const_iterator>
+__tree<_Tp, _Compare, _Allocator>::__equal_range_multi(const _Key& __k) const
+{
+    typedef pair<const_iterator, const_iterator> _Pp;
+    __node_const_pointer __result = __end_node();
+    __node_const_pointer __rt = __root();
+    while (__rt != nullptr)
+    {
+        if (value_comp()(__k, __rt->__value_))
+        {
+            __result = __rt;
+            __rt = static_cast<__node_const_pointer>(__rt->__left_);
+        }
+        else if (value_comp()(__rt->__value_, __k))
+            __rt = static_cast<__node_const_pointer>(__rt->__right_);
+        else
+            return _Pp(__lower_bound(__k, static_cast<__node_const_pointer>(__rt->__left_), __rt),
+                      __upper_bound(__k, static_cast<__node_const_pointer>(__rt->__right_), __result));
+    }
+    return _Pp(const_iterator(__result), const_iterator(__result));
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+typename __tree<_Tp, _Compare, _Allocator>::__node_holder
+__tree<_Tp, _Compare, _Allocator>::remove(const_iterator __p) _NOEXCEPT
+{
+    __node_pointer __np = __p.__ptr_;
+    if (__begin_node() == __np)
+    {
+        if (__np->__right_ != nullptr)
+            __begin_node() = static_cast<__node_pointer>(__np->__right_);
+        else
+            __begin_node() = static_cast<__node_pointer>(__np->__parent_);
+    }
+    --size();
+    __tree_remove(__end_node()->__left_,
+                  static_cast<__node_base_pointer>(__np));
+    return __node_holder(__np, _Dp(__node_alloc()));
+}
+
+template <class _Tp, class _Compare, class _Allocator>
+inline _LIBCPP_INLINE_VISIBILITY
+void
+swap(__tree<_Tp, _Compare, _Allocator>& __x,
+     __tree<_Tp, _Compare, _Allocator>& __y)
+    _NOEXCEPT_(_NOEXCEPT_(__x.swap(__y)))
+{
+    __x.swap(__y);
+}
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif  // _LIBCPP___TREE