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常用数据结构C++实现(7)：红黑树 | 雅乐网 </title>
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<meta name="description" content="红黑树各种操作思路见 从B-树角度理解红黑树背后的原理 ，本文是红黑树的C++实现。但并没有全面的测试，如果大家发现了bug，欢迎指出。 本文的红黑树是从前面的BST继承而来，也是用到了AVL中用到的3+4重构和旋转操作。编译时要用到前面的BST.h Bintree.h" />
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<a href="http://www.yalewoo.com/data_structure_cpp_7_red_black_tree.html" title="常用数据结构C++实现(7)：红黑树">常用数据结构C++实现(7)：红黑树</a>
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<span class="meta-author meta-ico"><a href="http://www.yalewoo.com/author/yalewoo" title="由yalewoo发布" rel="author">yalewoo</a> </span>
<span class="meta-time meta-ico"> 最后修改于 2016-01-28</span>
发表于 2016-01-28
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<ul id="content-index-contents"><li class="content-index-level-1"><a href="http://www.yalewoo.com/data_structure_cpp_7_red_black_tree.html#RBTree.h" title="RBTree.h"><em>1</em><span>RBTree.h</span></a></li><li class="content-index-level-1"><a href="http://www.yalewoo.com/data_structure_cpp_7_red_black_tree.html#RBTree.cpp" title="RBTree.cpp"><em>2</em><span>RBTree.cpp</span></a></li><li class="content-index-level-1"><a href="http://www.yalewoo.com/data_structure_cpp_7_red_black_tree.html#使用QT显示红黑树" title="使用QT显示红黑树"><em>3</em><span>使用QT显示红黑树</span></a></li></ul></div>
<p>红黑树各种操作思路见 <a target="_blank" title="从B-树角度理解红黑树背后的原理" href="http://www.yalewoo.com/red_black_tree_a_b-tree_view.html">从B-树角度理解红黑树背后的原理</a> ，本文是红黑树的C++实现。但并没有全面的测试，如果大家发现了bug，欢迎指出。</p>
<p>本文的红黑树是从前面的BST继承而来，也是用到了AVL中用到的3+4重构和旋转操作。编译时要用到前面的BST.h Bintree.h 以及vector、stack、queue这些数据结构。</p>
<p>所有源代码地址：<a target="_blank" title="https://github.com/yalewoo/cpp-data-structure" href="https://github.com/yalewoo/cpp-data-structure" target="_blank">yalewoo/cpp-data-structure · GitHub</a></p>
<h3 id="RBTree.h">RBTree.h</h3>
<p></p>
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#ifndef RBTREE_H
#define RBTREE_H
#include "BST.h"
#define IsBlack(x) ( (x) == 0 || (x)->color == BLACK )
#define IsRed(x) ( !IsBlack(x) )
template <typename T>
class RBT : public BST<T>{
public:
RBT();
virtual BinNodePosi(T) insert(const T &);
virtual bool remove(const T &);
protected:
using BST<T>::_root;
using BST<T>::_size;
using BST<T>::_hot;
using BST<T>::search;
using BST<T>::siblingOf;
using BST<T>::connect34;
using BST<T>::removeAt;
void solveDoubleRed(BinNodePosi(T) x);
void solveDoubleBlack(BinNodePosi(T) r);
void rotateLL(BinNodePosi(T) t1, BinNodePosi(T) t2);
void rotateRR(BinNodePosi(T) t2, BinNodePosi(T) t1);
virtual int updateHeight(BinNodePosi(T) x);
};
//更新某结点的黑高度
template <typename T>
int RBT<T>::updateHeight(BinNodePosi(T) x)
{
if (!x)
return -1;
x->height = max(stature(x->lchild), stature(x->rchild));
if (x->color == BLACK)
++x->height;
return x->height;
}
template <typename T>
RBT<T>::RBT()
{
_hot = 0;
_size = 0;
}
template <typename T>
BinNodePosi(T) RBT<T>::insert(const T & e)
{
BinNodePosi(T) p = search(e);
if (p != NULL && p->data == e) //already exist
{
return p;
}
BinNodePosi(T) x = BST<T>::insert(e);
p = x->parent;
//新插入结点是根节点时
if (p == 0)
{
x->color = BLACK;
x->height = 1;
return x;
}
x->color = RED;
//若p结点是黑色 红黑树的性质没有破坏
if (p->color == BLACK)
{
return x;
}
//若p是红色 出现双红缺陷
solveDoubleRed(x);
//++_size;
return x;
}
template <typename T>
void RBT<T>::solveDoubleRed(BinNodePosi(T) x)
{
BinNodePosi(T) p = x->parent;
BinNodePosi(T) g = p->parent;
BinNodePosi(T) u = siblingOf(p);
if (IsBlack(u)) //情况2.1 p红u黑
{
BinNodePosi(T) par = g->parent;
enum {ROOT, LEFT, RIGHT} ptoc;
if (g->parent)
{
if (g == g->parent->lchild)
ptoc = LEFT;
else
ptoc = RIGHT;
}
else
ptoc = ROOT;
BinNodePosi(T) t1;
BinNodePosi(T) t2;
BinNodePosi(T) t3;
BinNodePosi(T) st1;
BinNodePosi(T) st2;
BinNodePosi(T) st3;
BinNodePosi(T) st4;
if (g->lchild && x == g->lchild->lchild)
{
t1 = x;
t2 = p;
t3 = g;
st1 = x->lchild;
st2 = x->rchild;
st3 = p->rchild;
st4 = g->rchild;
}
else if (g->lchild && x == g->lchild->rchild)
{
t1 = p;
t2 = x;
t3 = g;
st1 = p->lchild;
st2 = x->lchild;
st3 = x->rchild;
st4 = g->rchild;
}
else if (g->rchild && x == g->rchild->lchild)
{
t1 = g;
t2 = x;
t3 = p;
st1 = g->lchild;
st2 = x->lchild;
st3 = x->rchild;
st4 = p->rchild;
}
else
{
t1 = g;
t2 = p;
t3 = x;
st1 = g->lchild;
st2 = p->lchild;
st3 = x->lchild;
st4 = x->rchild;
}
t2->parent = par;
switch (ptoc)
{
case ROOT : _root = t2; break;
case LEFT : par->lchild = t2; break;
case RIGHT : par->rchild = t2; break;
}
connect34(t1, t2, t3, st1, st2, st3, st4);
t2->color = BLACK;
t1->color = RED;
t3->color = RED;
t2->height++;
t3->height--;
}
else //情况2.2 p红u红
{
p->color = BLACK;
u->color = BLACK;
g->color = RED;
p->height++;
g->height--;
if (g->parent == 0)
g->color = BLACK;
else if (IsRed(g->parent))
solveDoubleRed(g);
}
}
template <typename T>
bool RBT<T>::remove(const T & e)
{
//如果已存在则返回false
BinNodePosi(T) x = search(e);
if (!x) return false;
//左右孩子都存在时，与中序后继交换元素 保证删除时有一个孩子为空
if (x->lchild && x->rchild)
{
BinNodePosi(T) p = x->succ();
T tmp = x->data;
x->data = p->data;
p->data = tmp;
x = p;
}
BinNodePosi(T) r = removeAt(x);
//如果删除后变为空树 直接返回
if ((_size) == 0)
return true;
//如果删除的是根节点重新将根节点染黑 并更新高度
if (_hot == 0)
{
_root->color = BLACK;
updateHeight(_root);
return true;
}
//x和r有一个为红
if (IsRed(x) || IsRed(r))
{
if (IsRed(r))
r->color = BLACK;
return true;
}
else
{
solveDoubleBlack(r);
}
delete x;
return true;
}
template <typename T>
void RBT<T>::solveDoubleBlack(BinNodePosi(T) r)
{
BinNodePosi(T) p = r ? r->parent : _hot;
if (p == 0) return;
BinNodePosi(T) s = ( r == p->lchild ? p->rchild : p->lchild );
if (IsBlack(s))
{
if ( IsRed(s->lchild) || IsRed(s->rchild) ) //情况1 s为黑 t为红
{
BinNodePosi(T) t;
if (IsRed(s->rchild)) t = s->rchild;
if (IsRed(s->lchild)) t = s->lchild;
BinNodePosi(T) g = p;
BinNodePosi(T) p1 = s;
BinNodePosi(T) x = t;
BinNodePosi(T) par = g->parent;
enum {ROOT, LEFT, RIGHT} ptoc;
if (g->parent)
{
if (g == g->parent->lchild)
ptoc = LEFT;
else
ptoc = RIGHT;
}
else
ptoc = ROOT;
BinNodePosi(T) t1;
BinNodePosi(T) t2;
BinNodePosi(T) t3;
BinNodePosi(T) st1;
BinNodePosi(T) st2;
BinNodePosi(T) st3;
BinNodePosi(T) st4;
if (g->lchild && x == g->lchild->lchild)
{
t1 = x;
t2 = p1;
t3 = g;
st1 = x->lchild;
st2 = x->rchild;
st3 = p1->rchild;
st4 = g->rchild;
}
else if (g->lchild && x == g->lchild->rchild)
{
t1 = p1;
t2 = x;
t3 = g;
st1 = p1->lchild;
st2 = x->lchild;
st3 = x->rchild;
st4 = g->rchild;
}
else if (g->rchild && x == g->rchild->lchild)
{
t1 = g;
t2 = x;
t3 = p1;
st1 = g->lchild;
st2 = x->lchild;
st3 = x->rchild;
st4 = p1->rchild;
}
else
{
t1 = g;
t2 = p1;
t3 = x;
st1 = g->lchild;
st2 = p1->lchild;
st3 = x->lchild;
st4 = x->rchild;
}
t2->parent = par;
switch (ptoc)
{
case ROOT : _root = t2; break;
case LEFT : par->lchild = t2; break;
case RIGHT : par->rchild = t2; break;
}
connect34(t1, t2, t3, st1, st2, st3, st4);
t2->color = g->color;
t1->color = BLACK;
t3->color = BLACK;
}
else //情况2 s为黑 s的两个孩子为黑
{
s->color = RED;
--s->height;
if (IsRed(p)) //情况2.1 s为黑 s的两个孩子均为黑 p为红
{
p->color = BLACK;
}
else //s为黑 s的两个孩子均为黑 p为黑
{
p->height--;
solveDoubleBlack(p);
}
}
}
else //情况3 s为红
{
if (s == p->lchild)
{
rotateLL(s, p);
}
else
{
rotateRR(s, p);
}
s->color = BLACK;
p->color = RED;
solveDoubleBlack(r);
}
}
template <typename T>
void RBT<T>::rotateLL(BinNodePosi(T) t1, BinNodePosi(T) t2)
{
//t2 --> st2
t2->lchild = t1->rchild;
//st2 --> t1
if (t1->rchild)
t1->rchild->parent = t2;
//t1 --> t2
t1->rchild = t2;
//父节点 --> t1（树根情况）
if (t2->parent == NULL)
{
t1->parent = NULL;
this->_root = t1;
t2->parent = t1;
return;
}
//t1 --> 父节点
t1->parent = t2->parent;
//父节点 --> t1（非树根）
if (t2->parent->lchild == t2)
t2->parent->lchild = t1;
else
t2->parent->rchild = t1;
//t2 --> t1
t2->parent = t1;
}
template <typename T>
void RBT<T>::rotateRR(BinNodePosi(T) t2, BinNodePosi(T) t1)
{
//t1 --> st2
t1->rchild = t2->lchild;
//st2 --> t1
if (t2->lchild)
t2->lchild->parent = t1;
//t2 --> t1
t2->lchild = t1;
//父节点 --> t2（树根）
if (t1->parent == NULL)
{
this->_root = t2;
t2->parent = NULL;
t1->parent = t2;
return;
}
//t2 --> 父节点
t2->parent = t1->parent;
//父节点 --> t2（非树根）
if (t1->parent->lchild == t1)
t1->parent->lchild = t2;
else
t1->parent->rchild = t2;
//t1 --> t2
t1->parent = t2;
}
#endif</textarea></div>
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data-line="crayon-5a3cdc7f6c047384395391-415">415</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-416">416</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-417">417</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-418">418</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-419">419</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-420">420</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-421">421</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-422">422</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-423">423</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-424">424</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-425">425</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-426">426</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-427">427</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-428">428</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-429">429</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-430">430</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-431">431</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-432">432</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-433">433</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-434">434</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-435">435</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-436">436</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-437">437</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-438">438</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-439">439</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-440">440</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-441">441</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-442">442</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-443">443</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-444">444</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-445">445</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-446">446</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-447">447</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-448">448</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-449">449</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-450">450</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-451">451</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-452">452</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-453">453</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-454">454</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-455">455</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-456">456</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-457">457</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-458">458</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c047384395391-459">459</div></div>
</td>
<td class="crayon-code"><div class="crayon-pre" style="font-size: 20px !important; line-height: 30px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-1"><span class="crayon-p">#ifndef RBTREE_H</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-2"><span class="crayon-p">#define RBTREE_H</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-3"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-4"><span class="crayon-p">#include "BST.h"</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-5"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-6"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-7"><span class="crayon-p">#define IsBlack(x) ( (x) == 0 || (x)->color == BLACK )</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-8"><span class="crayon-p">#define IsRed(x) ( !IsBlack(x) )</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-9"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-10"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-11"><span class="crayon-t">template</span><span class="crayon-h"> </span><span class="crayon-o"><</span><span class="crayon-r">typename</span><span class="crayon-h"> </span><span class="crayon-v">T</span><span class="crayon-o">></span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-12"><span class="crayon-t">class</span><span class="crayon-h"> </span><span class="crayon-v">RBT</span><span class="crayon-h"> </span><span class="crayon-o">:</span><span class="crayon-h"> </span><span class="crayon-m">public</span><span class="crayon-h"> </span><span class="crayon-e">BST</span><span class="crayon-o"><</span><span class="crayon-e">T</span><span class="crayon-o">></span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-13"><span class="crayon-m">public</span><span class="crayon-o">:</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-14"><span class="crayon-h"> </span><span class="crayon-e">RBT</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-15"><span class="crayon-h"> </span><span class="crayon-m">virtual</span><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-e">insert</span><span class="crayon-sy">(</span><span class="crayon-m">const</span><span class="crayon-h"> </span><span class="crayon-v">T</span><span class="crayon-h"> </span><span class="crayon-o">&</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-16"><span class="crayon-h"> </span><span class="crayon-m">virtual</span><span class="crayon-h"> </span><span class="crayon-t">bool</span><span class="crayon-h"> </span><span class="crayon-e">remove</span><span class="crayon-sy">(</span><span class="crayon-m">const</span><span class="crayon-h"> </span><span class="crayon-v">T</span><span class="crayon-h"> </span><span class="crayon-o">&</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-17"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-18"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-19"><span class="crayon-m">protected</span><span class="crayon-o">:</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-20"><span class="crayon-h"> </span><span class="crayon-r">using</span><span class="crayon-h"> </span><span class="crayon-v">BST</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-v">_root</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-21"><span class="crayon-h"> </span><span class="crayon-r">using</span><span class="crayon-h"> </span><span class="crayon-v">BST</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-v">_size</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-22"><span class="crayon-h"> </span><span class="crayon-r">using</span><span class="crayon-h"> </span><span class="crayon-v">BST</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-v">_hot</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-23"><span class="crayon-h"> </span><span class="crayon-r">using</span><span class="crayon-h"> </span><span class="crayon-v">BST</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-v">search</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-24"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-25"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-26"><span class="crayon-h"> </span><span class="crayon-r">using</span><span class="crayon-h"> </span><span class="crayon-v">BST</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-v">siblingOf</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-27"><span class="crayon-h"> </span><span class="crayon-r">using</span><span class="crayon-h"> </span><span class="crayon-v">BST</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-v">connect34</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-28"><span class="crayon-h"> </span><span class="crayon-r">using</span><span class="crayon-h"> </span><span class="crayon-v">BST</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-v">removeAt</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-29"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-30"><span class="crayon-h"> </span><span class="crayon-t">void</span><span class="crayon-h"> </span><span class="crayon-e">solveDoubleRed</span><span class="crayon-sy">(</span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-31"><span class="crayon-h"> </span><span class="crayon-t">void</span><span class="crayon-h"> </span><span class="crayon-e">solveDoubleBlack</span><span class="crayon-sy">(</span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">r</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-32"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-33"><span class="crayon-h"> </span><span class="crayon-t">void</span><span class="crayon-h"> </span><span class="crayon-e">rotateLL</span><span class="crayon-sy">(</span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-34"><span class="crayon-h"> </span><span class="crayon-t">void</span><span class="crayon-h"> </span><span class="crayon-e">rotateRR</span><span class="crayon-sy">(</span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-35"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-36"><span class="crayon-h"> </span><span class="crayon-m">virtual</span><span class="crayon-h"> </span><span class="crayon-t">int</span><span class="crayon-h"> </span><span class="crayon-e">updateHeight</span><span class="crayon-sy">(</span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-37"><span class="crayon-sy">}</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-38"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-39"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-40"><span class="crayon-c">//更新某结点的黑高度</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-41"><span class="crayon-t">template</span><span class="crayon-h"> </span><span class="crayon-o"><</span><span class="crayon-r">typename</span><span class="crayon-h"> </span><span class="crayon-v">T</span><span class="crayon-o">></span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-42"><span class="crayon-t">int</span><span class="crayon-h"> </span><span class="crayon-v">RBT</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-e">updateHeight</span><span class="crayon-sy">(</span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-43"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-44"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-o">!</span><span class="crayon-v">x</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-45"><span class="crayon-h"> </span><span class="crayon-st">return</span><span class="crayon-h"> </span><span class="crayon-o">-</span><span class="crayon-cn">1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-46"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">height</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-e">max</span><span class="crayon-sy">(</span><span class="crayon-e">stature</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-e">stature</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-47"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">BLACK</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-48"><span class="crayon-h"> </span><span class="crayon-o">++</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">height</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-49"><span class="crayon-h"> </span><span class="crayon-st">return</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">height</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-50"><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-51"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-52"><span class="crayon-t">template</span><span class="crayon-h"> </span><span class="crayon-o"><</span><span class="crayon-r">typename</span><span class="crayon-h"> </span><span class="crayon-v">T</span><span class="crayon-o">></span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-53"><span class="crayon-v">RBT</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-e">RBT</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-54"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-55"><span class="crayon-h"> </span><span class="crayon-v">_hot</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-56"><span class="crayon-h"> </span><span class="crayon-v">_size</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-57"><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-58"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-59"><span class="crayon-t">template</span><span class="crayon-h"> </span><span class="crayon-o"><</span><span class="crayon-r">typename</span><span class="crayon-h"> </span><span class="crayon-v">T</span><span class="crayon-o">></span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-60"><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">RBT</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-e">insert</span><span class="crayon-sy">(</span><span class="crayon-m">const</span><span class="crayon-h"> </span><span class="crayon-v">T</span><span class="crayon-h"> </span><span class="crayon-o">&</span><span class="crayon-h"> </span><span class="crayon-v">e</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-61"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-62"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-e">search</span><span class="crayon-sy">(</span><span class="crayon-v">e</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-63"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">p</span><span class="crayon-h"> </span><span class="crayon-o">!=</span><span class="crayon-h"> </span><span class="crayon-t">NULL</span><span class="crayon-h"> </span><span class="crayon-o">&&</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">data</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">e</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-c">//already exist</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-64"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-65"><span class="crayon-h"> </span><span class="crayon-st">return</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-66"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-67"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-68"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">BST</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-e">insert</span><span class="crayon-sy">(</span><span class="crayon-v">e</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-69"><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-70"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-71"><span class="crayon-h"> </span><span class="crayon-c">//新插入结点是根节点时</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-72"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">p</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-73"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-74"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">BLACK</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-75"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">height</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-76"><span class="crayon-h"> </span><span class="crayon-st">return</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-77"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-78"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-79"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">RED</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-80"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-81"><span class="crayon-h"> </span><span class="crayon-c">//若p结点是黑色 红黑树的性质没有破坏</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-82"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">BLACK</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-83"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-84"><span class="crayon-h"> </span><span class="crayon-st">return</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-85"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-86"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-87"><span class="crayon-h"> </span><span class="crayon-c">//若p是红色 出现双红缺陷</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-88"><span class="crayon-h"> </span><span class="crayon-e">solveDoubleRed</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-89"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-90"><span class="crayon-h"> </span><span class="crayon-c">//++_size;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-91"><span class="crayon-h"> </span><span class="crayon-st">return</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-92"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-93"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-94"><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-95"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-96"><span class="crayon-t">template</span><span class="crayon-h"> </span><span class="crayon-o"><</span><span class="crayon-r">typename</span><span class="crayon-h"> </span><span class="crayon-v">T</span><span class="crayon-o">></span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-97"><span class="crayon-t">void</span><span class="crayon-h"> </span><span class="crayon-v">RBT</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-e">solveDoubleRed</span><span class="crayon-sy">(</span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-98"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-99"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-100"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-101"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-102"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">u</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-e">siblingOf</span><span class="crayon-sy">(</span><span class="crayon-v">p</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-103"><span class="crayon-h"> </span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-104"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-e">IsBlack</span><span class="crayon-sy">(</span><span class="crayon-v">u</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-c">//情况2.1 p红u黑</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-105"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-106"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">par</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-107"><span class="crayon-h"> </span><span class="crayon-t">enum</span><span class="crayon-h"> </span><span class="crayon-sy">{</span><span class="crayon-v">ROOT</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">LEFT</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">RIGHT</span><span class="crayon-sy">}</span><span class="crayon-h"> </span><span class="crayon-v">ptoc</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-108"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-109"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-110"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">g</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-111"><span class="crayon-h"> </span><span class="crayon-v">ptoc</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">LEFT</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-112"><span class="crayon-h"> </span><span class="crayon-st">else</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-113"><span class="crayon-h"> </span><span class="crayon-v">ptoc</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">RIGHT</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-114"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-115"><span class="crayon-h"> </span><span class="crayon-st">else</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-116"><span class="crayon-h"> </span><span class="crayon-v">ptoc</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">ROOT</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-117"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-118"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-119"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-120"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-121"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t3</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-122"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">st1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-123"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">st2</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-124"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">st3</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-125"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">st4</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-126"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-127"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-h"> </span><span class="crayon-o">&&</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-128"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-129"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-130"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-131"><span class="crayon-h"> </span><span class="crayon-v">t3</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-132"><span class="crayon-h"> </span><span class="crayon-v">st1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-133"><span class="crayon-h"> </span><span class="crayon-v">st2</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-134"><span class="crayon-h"> </span><span class="crayon-v">st3</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-135"><span class="crayon-h"> </span><span class="crayon-v">st4</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-136"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-137"><span class="crayon-h"> </span><span class="crayon-st">else</span><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-h"> </span><span class="crayon-o">&&</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-138"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-139"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-140"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-141"><span class="crayon-h"> </span><span class="crayon-v">t3</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-142"><span class="crayon-h"> </span><span class="crayon-v">st1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-143"><span class="crayon-h"> </span><span class="crayon-v">st2</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-144"><span class="crayon-h"> </span><span class="crayon-v">st3</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-145"><span class="crayon-h"> </span><span class="crayon-v">st4</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-146"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-147"><span class="crayon-h"> </span><span class="crayon-st">else</span><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-h"> </span><span class="crayon-o">&&</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-148"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-149"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-150"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-151"><span class="crayon-h"> </span><span class="crayon-v">t3</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-152"><span class="crayon-h"> </span><span class="crayon-v">st1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-153"><span class="crayon-h"> </span><span class="crayon-v">st2</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-154"><span class="crayon-h"> </span><span class="crayon-v">st3</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-155"><span class="crayon-h"> </span><span class="crayon-v">st4</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-156"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-157"><span class="crayon-h"> </span><span class="crayon-st">else</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-158"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-159"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-160"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-161"><span class="crayon-h"> </span><span class="crayon-v">t3</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-162"><span class="crayon-h"> </span><span class="crayon-v">st1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-163"><span class="crayon-h"> </span><span class="crayon-v">st2</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-164"><span class="crayon-h"> </span><span class="crayon-v">st3</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-165"><span class="crayon-h"> </span><span class="crayon-v">st4</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-166"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-167"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-168"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">par</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-169"><span class="crayon-h"> </span><span class="crayon-st">switch</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">ptoc</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-170"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-171"><span class="crayon-h"> </span><span class="crayon-st">case</span><span class="crayon-h"> </span><span class="crayon-v">ROOT</span><span class="crayon-h"> </span><span class="crayon-o">:</span><span class="crayon-h"> </span><span class="crayon-v">_root</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-st">break</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-172"><span class="crayon-h"> </span><span class="crayon-st">case</span><span class="crayon-h"> </span><span class="crayon-v">LEFT</span><span class="crayon-h"> </span><span class="crayon-o">:</span><span class="crayon-h"> </span><span class="crayon-v">par</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-st">break</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-173"><span class="crayon-h"> </span><span class="crayon-st">case</span><span class="crayon-h"> </span><span class="crayon-v">RIGHT</span><span class="crayon-h"> </span><span class="crayon-o">:</span><span class="crayon-h"> </span><span class="crayon-v">par</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-st">break</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-174"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-175"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-176"><span class="crayon-h"> </span><span class="crayon-e">connect34</span><span class="crayon-sy">(</span><span class="crayon-v">t1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">t3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">st1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">st2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">st3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">st4</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-177"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-178"><span class="crayon-h"> </span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-179"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-180"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">BLACK</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-181"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">RED</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-182"><span class="crayon-h"> </span><span class="crayon-v">t3</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">RED</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-183"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-184"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-v">height</span><span class="crayon-o">++</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-185"><span class="crayon-h"> </span><span class="crayon-v">t3</span><span class="crayon-o">-></span><span class="crayon-v">height</span><span class="crayon-o">--</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-186"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-187"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-188"><span class="crayon-h"> </span><span class="crayon-st">else</span><span class="crayon-h"> </span><span class="crayon-c">//情况2.2 p红u红</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-189"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-190"><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">BLACK</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-191"><span class="crayon-h"> </span><span class="crayon-v">u</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">BLACK</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-192"><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">RED</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-193"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-194"><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">height</span><span class="crayon-o">++</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-195"><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">height</span><span class="crayon-o">--</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-196"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-197"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-198"><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">BLACK</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-199"><span class="crayon-h"> </span><span class="crayon-st">else</span><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-e">IsRed</span><span class="crayon-sy">(</span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-200"><span class="crayon-h"> </span><span class="crayon-e">solveDoubleRed</span><span class="crayon-sy">(</span><span class="crayon-v">g</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-201"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-202"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-203"><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-204"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-205"><span class="crayon-t">template</span><span class="crayon-h"> </span><span class="crayon-o"><</span><span class="crayon-r">typename</span><span class="crayon-h"> </span><span class="crayon-v">T</span><span class="crayon-o">></span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-206"><span class="crayon-t">bool</span><span class="crayon-h"> </span><span class="crayon-v">RBT</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-e">remove</span><span class="crayon-sy">(</span><span class="crayon-m">const</span><span class="crayon-h"> </span><span class="crayon-v">T</span><span class="crayon-h"> </span><span class="crayon-o">&</span><span class="crayon-h"> </span><span class="crayon-v">e</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-207"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-208"><span class="crayon-h"> </span><span class="crayon-c">//如果已存在则返回false</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-209"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-e">search</span><span class="crayon-sy">(</span><span class="crayon-v">e</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-210"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-o">!</span><span class="crayon-v">x</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-st">return</span><span class="crayon-h"> </span><span class="crayon-t">false</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-211"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-212"><span class="crayon-h"> </span><span class="crayon-c">//左右孩子都存在时，与中序后继交换元素 保证删除时有一个孩子为空</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-213"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-h"> </span><span class="crayon-o">&&</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-214"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-215"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-e">succ</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-216"><span class="crayon-h"> </span><span class="crayon-i">T</span><span class="crayon-h"> </span><span class="crayon-v">tmp</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">data</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-217"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">data</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">data</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-218"><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">data</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">tmp</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-219"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-220"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-221"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-222"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-223"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">r</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-e">removeAt</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-224"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-225"><span class="crayon-h"> </span><span class="crayon-c">//如果删除后变为空树 直接返回</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-226"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-sy">(</span><span class="crayon-v">_size</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-227"><span class="crayon-h"> </span><span class="crayon-st">return</span><span class="crayon-h"> </span><span class="crayon-t">true</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-228"><span class="crayon-h"> </span><span class="crayon-c">//如果删除的是根节点重新将根节点染黑 并更新高度</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-229"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">_hot</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-230"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-231"><span class="crayon-h"> </span><span class="crayon-v">_root</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">BLACK</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-232"><span class="crayon-h"> </span><span class="crayon-e">updateHeight</span><span class="crayon-sy">(</span><span class="crayon-v">_root</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-233"><span class="crayon-h"> </span><span class="crayon-st">return</span><span class="crayon-h"> </span><span class="crayon-t">true</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-234"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-235"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-236"><span class="crayon-h"> </span><span class="crayon-c">//x和r有一个为红</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-237"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-e">IsRed</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-o">||</span><span class="crayon-h"> </span><span class="crayon-e">IsRed</span><span class="crayon-sy">(</span><span class="crayon-v">r</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-238"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-239"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-e">IsRed</span><span class="crayon-sy">(</span><span class="crayon-v">r</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-240"><span class="crayon-h"> </span><span class="crayon-v">r</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">BLACK</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-241"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-242"><span class="crayon-h"> </span><span class="crayon-st">return</span><span class="crayon-h"> </span><span class="crayon-t">true</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-243"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-244"><span class="crayon-h"> </span><span class="crayon-st">else</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-245"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-246"><span class="crayon-h"> </span><span class="crayon-e">solveDoubleBlack</span><span class="crayon-sy">(</span><span class="crayon-v">r</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-247"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-248"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-249"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-250"><span class="crayon-h"> </span><span class="crayon-i">delete</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-251"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-252"><span class="crayon-h"> </span><span class="crayon-st">return</span><span class="crayon-h"> </span><span class="crayon-t">true</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-253"><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-254"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-255"><span class="crayon-t">template</span><span class="crayon-h"> </span><span class="crayon-o"><</span><span class="crayon-r">typename</span><span class="crayon-h"> </span><span class="crayon-v">T</span><span class="crayon-o">></span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-256"><span class="crayon-t">void</span><span class="crayon-h"> </span><span class="crayon-v">RBT</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-e">solveDoubleBlack</span><span class="crayon-sy">(</span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">r</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-257"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-258"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-i">r</span><span class="crayon-h"> </span><span class="crayon-sy">?</span><span class="crayon-h"> </span><span class="crayon-v">r</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-h"> </span><span class="crayon-o">:</span><span class="crayon-h"> </span><span class="crayon-v">_hot</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-259"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">p</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-st">return</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-260"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">s</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-h"> </span><span class="crayon-v">r</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-h"> </span><span class="crayon-sy">?</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-h"> </span><span class="crayon-o">:</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-h"> </span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-261"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-262"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-e">IsBlack</span><span class="crayon-sy">(</span><span class="crayon-v">s</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-263"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-264"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-h"> </span><span class="crayon-e">IsRed</span><span class="crayon-sy">(</span><span class="crayon-v">s</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-o">||</span><span class="crayon-h"> </span><span class="crayon-e">IsRed</span><span class="crayon-sy">(</span><span class="crayon-v">s</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-c">//情况1 s为黑 t为红</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-265"><span class="crayon-h"> </span><span class="crayon-sy">{</span><span class="crayon-h"> </span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-266"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-267"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-e">IsRed</span><span class="crayon-sy">(</span><span class="crayon-v">s</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">s</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-268"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-e">IsRed</span><span class="crayon-sy">(</span><span class="crayon-v">s</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">s</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-269"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-270"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-271"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">p1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">s</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-272"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-273"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-274"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">par</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-275"><span class="crayon-h"> </span><span class="crayon-t">enum</span><span class="crayon-h"> </span><span class="crayon-sy">{</span><span class="crayon-v">ROOT</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">LEFT</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">RIGHT</span><span class="crayon-sy">}</span><span class="crayon-h"> </span><span class="crayon-v">ptoc</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-276"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-277"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-278"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">g</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-279"><span class="crayon-h"> </span><span class="crayon-v">ptoc</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">LEFT</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-280"><span class="crayon-h"> </span><span class="crayon-st">else</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-281"><span class="crayon-h"> </span><span class="crayon-v">ptoc</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">RIGHT</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-282"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-283"><span class="crayon-h"> </span><span class="crayon-st">else</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-284"><span class="crayon-h"> </span><span class="crayon-v">ptoc</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">ROOT</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-285"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-286"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-287"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-288"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-289"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t3</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-290"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">st1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-291"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">st2</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-292"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">st3</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-293"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">st4</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-294"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-295"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-h"> </span><span class="crayon-o">&&</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-296"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-297"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-298"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-299"><span class="crayon-h"> </span><span class="crayon-v">t3</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-300"><span class="crayon-h"> </span><span class="crayon-v">st1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-301"><span class="crayon-h"> </span><span class="crayon-v">st2</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-302"><span class="crayon-h"> </span><span class="crayon-v">st3</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p1</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-303"><span class="crayon-h"> </span><span class="crayon-v">st4</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-304"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-305"><span class="crayon-h"> </span><span class="crayon-st">else</span><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-h"> </span><span class="crayon-o">&&</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-306"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-307"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-308"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-309"><span class="crayon-h"> </span><span class="crayon-v">t3</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-310"><span class="crayon-h"> </span><span class="crayon-v">st1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p1</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-311"><span class="crayon-h"> </span><span class="crayon-v">st2</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-312"><span class="crayon-h"> </span><span class="crayon-v">st3</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-313"><span class="crayon-h"> </span><span class="crayon-v">st4</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-314"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-315"><span class="crayon-h"> </span><span class="crayon-st">else</span><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-h"> </span><span class="crayon-o">&&</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-316"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-317"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-318"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-319"><span class="crayon-h"> </span><span class="crayon-v">t3</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-320"><span class="crayon-h"> </span><span class="crayon-v">st1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-321"><span class="crayon-h"> </span><span class="crayon-v">st2</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-322"><span class="crayon-h"> </span><span class="crayon-v">st3</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-323"><span class="crayon-h"> </span><span class="crayon-v">st4</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p1</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-324"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-325"><span class="crayon-h"> </span><span class="crayon-st">else</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-326"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-327"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-328"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-329"><span class="crayon-h"> </span><span class="crayon-v">t3</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-330"><span class="crayon-h"> </span><span class="crayon-v">st1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-331"><span class="crayon-h"> </span><span class="crayon-v">st2</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p1</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-332"><span class="crayon-h"> </span><span class="crayon-v">st3</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-333"><span class="crayon-h"> </span><span class="crayon-v">st4</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-334"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-335"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-336"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">par</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-337"><span class="crayon-h"> </span><span class="crayon-st">switch</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">ptoc</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-338"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-339"><span class="crayon-h"> </span><span class="crayon-st">case</span><span class="crayon-h"> </span><span class="crayon-v">ROOT</span><span class="crayon-h"> </span><span class="crayon-o">:</span><span class="crayon-h"> </span><span class="crayon-v">_root</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-st">break</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-340"><span class="crayon-h"> </span><span class="crayon-st">case</span><span class="crayon-h"> </span><span class="crayon-v">LEFT</span><span class="crayon-h"> </span><span class="crayon-o">:</span><span class="crayon-h"> </span><span class="crayon-v">par</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-st">break</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-341"><span class="crayon-h"> </span><span class="crayon-st">case</span><span class="crayon-h"> </span><span class="crayon-v">RIGHT</span><span class="crayon-h"> </span><span class="crayon-o">:</span><span class="crayon-h"> </span><span class="crayon-v">par</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-st">break</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-342"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-343"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-344"><span class="crayon-h"> </span><span class="crayon-e">connect34</span><span class="crayon-sy">(</span><span class="crayon-v">t1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">t3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">st1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">st2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">st3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">st4</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-345"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-346"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">g</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-347"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">BLACK</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-348"><span class="crayon-h"> </span><span class="crayon-v">t3</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">BLACK</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-349"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-350"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-351"><span class="crayon-h"> </span><span class="crayon-st">else</span><span class="crayon-h"> </span><span class="crayon-c">//情况2 s为黑 s的两个孩子为黑</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-352"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-353"><span class="crayon-h"> </span><span class="crayon-v">s</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">RED</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-354"><span class="crayon-h"> </span><span class="crayon-o">--</span><span class="crayon-v">s</span><span class="crayon-o">-></span><span class="crayon-v">height</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-355"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-356"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-e">IsRed</span><span class="crayon-sy">(</span><span class="crayon-v">p</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-c">//情况2.1 s为黑 s的两个孩子均为黑 p为红</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-357"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-358"><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">BLACK</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-359"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-360"><span class="crayon-h"> </span><span class="crayon-st">else</span><span class="crayon-h"> </span><span class="crayon-c">//s为黑 s的两个孩子均为黑 p为黑</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-361"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-362"><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">height</span><span class="crayon-o">--</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-363"><span class="crayon-h"> </span><span class="crayon-e">solveDoubleBlack</span><span class="crayon-sy">(</span><span class="crayon-v">p</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-364"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-365"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-366"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-367"><span class="crayon-h"> </span><span class="crayon-st">else</span><span class="crayon-h"> </span><span class="crayon-c">//情况3 s为红</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-368"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-369"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">s</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-370"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-371"><span class="crayon-h"> </span><span class="crayon-e">rotateLL</span><span class="crayon-sy">(</span><span class="crayon-v">s</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-372"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-373"><span class="crayon-h"> </span><span class="crayon-st">else</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-374"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-375"><span class="crayon-h"> </span><span class="crayon-e">rotateRR</span><span class="crayon-sy">(</span><span class="crayon-v">s</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-376"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-377"><span class="crayon-h"> </span><span class="crayon-v">s</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">BLACK</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-378"><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-v">color</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">RED</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-379"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-380"><span class="crayon-h"> </span><span class="crayon-e">solveDoubleBlack</span><span class="crayon-sy">(</span><span class="crayon-v">r</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-381"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-382"><span class="crayon-h"> </span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-383"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-384"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-385"><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-386"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-387"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-388"><span class="crayon-t">template</span><span class="crayon-h"> </span><span class="crayon-o"><</span><span class="crayon-r">typename</span><span class="crayon-h"> </span><span class="crayon-v">T</span><span class="crayon-o">></span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-389"><span class="crayon-t">void</span><span class="crayon-h"> </span><span class="crayon-v">RBT</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-e">rotateLL</span><span class="crayon-sy">(</span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-390"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-391"><span class="crayon-h"> </span><span class="crayon-c">//t2 --> st2</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-392"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-393"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-394"><span class="crayon-h"> </span><span class="crayon-c">//st2 --> t1</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-395"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">t1</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-396"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-397"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-398"><span class="crayon-h"> </span><span class="crayon-c">//t1 --> t2</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-399"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-400"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-401"><span class="crayon-h"> </span><span class="crayon-c">//父节点 --> t1（树根情况）</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-402"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-t">NULL</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-403"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-404"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-t">NULL</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-405"><span class="crayon-h"> </span><span class="crayon-r">this</span><span class="crayon-o">-></span><span class="crayon-v">_root</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-406"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-407"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-408"><span class="crayon-h"> </span><span class="crayon-st">return</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-409"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-410"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-411"><span class="crayon-h"> </span><span class="crayon-c">//t1 --> 父节点</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-412"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-413"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-414"><span class="crayon-h"> </span><span class="crayon-c">//父节点 --> t1（非树根）</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-415"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-416"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-417"><span class="crayon-h"> </span><span class="crayon-st">else</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-418"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-419"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-420"><span class="crayon-h"> </span><span class="crayon-c">//t2 --> t1</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-421"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-422"><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-423"><span class="crayon-t">template</span><span class="crayon-h"> </span><span class="crayon-o"><</span><span class="crayon-r">typename</span><span class="crayon-h"> </span><span class="crayon-v">T</span><span class="crayon-o">></span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-424"><span class="crayon-t">void</span><span class="crayon-h"> </span><span class="crayon-v">RBT</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-e">rotateRR</span><span class="crayon-sy">(</span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-425"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-426"><span class="crayon-h"> </span><span class="crayon-c">//t1 --> st2</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-427"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-428"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-429"><span class="crayon-h"> </span><span class="crayon-c">//st2 --> t1</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-430"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-431"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-432"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-433"><span class="crayon-h"> </span><span class="crayon-c">//t2 --> t1</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-434"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-435"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-436"><span class="crayon-h"> </span><span class="crayon-c">//父节点 --> t2（树根）</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-437"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">t1</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-t">NULL</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-438"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-439"><span class="crayon-h"> </span><span class="crayon-r">this</span><span class="crayon-o">-></span><span class="crayon-v">_root</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-440"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-t">NULL</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-441"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-442"><span class="crayon-h"> </span><span class="crayon-st">return</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-443"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-444"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-445"><span class="crayon-h"> </span><span class="crayon-c">//t2 --> 父节点</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-446"><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-447"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-448"><span class="crayon-h"> </span><span class="crayon-c">//父节点 --> t2（非树根）</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-449"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">t1</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-450"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-451"><span class="crayon-h"> </span><span class="crayon-st">else</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-452"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-453"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-454"><span class="crayon-h"> </span><span class="crayon-c">//t1 --> t2</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-455"><span class="crayon-h"> </span><span class="crayon-v">t1</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">t2</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-456"><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-457"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-458"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c047384395391-459"><span class="crayon-p">#endif</span></div></div></td>
</tr>
</table>
</div>
</div><p></p>
<h3 id="RBTree.cpp">RBTree.cpp</h3>
<p></p>
<div id="crayon-5a3cdc7f6c063149812489" class="crayon-syntax crayon-theme-classic crayon-font-consolas crayon-os-pc print-yes notranslate" data-settings=" minimize scroll-mouseover disable-anim wrap" style=" margin-top: 12px; margin-bottom: 12px; font-size: 20px !important; line-height: 30px !important;">
<div class="crayon-plain-wrap"><textarea class="crayon-plain print-no" data-settings="dblclick" readonly style="-moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4; font-size: 20px !important; line-height: 30px !important;">
#include <iostream>
#include "RBTree.h"
int main()
{
RBT<int> rb;
rb.insert(12); rb.display();
rb.insert(1); rb.display();
rb.insert(9); rb.display();
rb.insert(2); rb.display();
rb.insert(0); rb.display();
rb.insert(11); rb.display();
rb.insert(7); rb.display();
rb.insert(5); rb.display();
rb.insert(4); rb.display();
rb.display();
rb.remove(12); rb.display();
rb.remove(1); rb.display();
rb.remove(9); rb.display();
rb.remove(2); rb.display();
rb.remove(0); rb.display();
rb.remove(11); rb.display();
rb.remove(7); rb.display();
rb.remove(5); rb.display();
rb.remove(4); rb.display();
rb.display();
return 0;
}</textarea></div>
<div class="crayon-main" style="">
<table class="crayon-table">
<tr class="crayon-row">
<td class="crayon-nums " data-settings="show">
<div class="crayon-nums-content" style="font-size: 20px !important; line-height: 30px !important;"><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-1">1</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-2">2</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-3">3</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-4">4</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-5">5</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-6">6</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-7">7</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-8">8</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-9">9</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-10">10</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-11">11</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-12">12</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-13">13</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-14">14</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-15">15</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-16">16</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-17">17</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-18">18</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-19">19</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-20">20</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-21">21</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-22">22</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-23">23</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-24">24</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-25">25</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-26">26</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-27">27</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-28">28</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-29">29</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-30">30</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-31">31</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-32">32</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-33">33</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-34">34</div><div class="crayon-num" data-line="crayon-5a3cdc7f6c063149812489-35">35</div></div>
</td>
<td class="crayon-code"><div class="crayon-pre" style="font-size: 20px !important; line-height: 30px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-1"><span class="crayon-p">#include <iostream></span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-2"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-3"><span class="crayon-p">#include "RBTree.h"</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-4"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-5"><span class="crayon-t">int</span><span class="crayon-h"> </span><span class="crayon-e">main</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-6"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-7"><span class="crayon-h"> </span><span class="crayon-v">RBT</span><span class="crayon-o"><</span><span class="crayon-t">int</span><span class="crayon-o">></span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-8"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-9"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">insert</span><span class="crayon-sy">(</span><span class="crayon-cn">12</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-10"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">insert</span><span class="crayon-sy">(</span><span class="crayon-cn">1</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-11"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">insert</span><span class="crayon-sy">(</span><span class="crayon-cn">9</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-12"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">insert</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-13"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">insert</span><span class="crayon-sy">(</span><span class="crayon-cn">0</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-14"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">insert</span><span class="crayon-sy">(</span><span class="crayon-cn">11</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-15"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">insert</span><span class="crayon-sy">(</span><span class="crayon-cn">7</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-16"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">insert</span><span class="crayon-sy">(</span><span class="crayon-cn">5</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-17"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">insert</span><span class="crayon-sy">(</span><span class="crayon-cn">4</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-18"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-19"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-20"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-21"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">remove</span><span class="crayon-sy">(</span><span class="crayon-cn">12</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-22"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">remove</span><span class="crayon-sy">(</span><span class="crayon-cn">1</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-23"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">remove</span><span class="crayon-sy">(</span><span class="crayon-cn">9</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-24"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">remove</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-25"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">remove</span><span class="crayon-sy">(</span><span class="crayon-cn">0</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-26"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">remove</span><span class="crayon-sy">(</span><span class="crayon-cn">11</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-27"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">remove</span><span class="crayon-sy">(</span><span class="crayon-cn">7</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-28"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">remove</span><span class="crayon-sy">(</span><span class="crayon-cn">5</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-29"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">remove</span><span class="crayon-sy">(</span><span class="crayon-cn">4</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-30"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-31"><span class="crayon-h"> </span><span class="crayon-v">rb</span><span class="crayon-sy">.</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-32"><span class="crayon-h"> </span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-33"> </div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-34"><span class="crayon-h"> </span><span class="crayon-st">return</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a3cdc7f6c063149812489-35"><span class="crayon-sy">}</span></div></div></td>
</tr>
</table>
</div>
</div><p></p>
<h3 id="使用QT显示红黑树">使用QT显示红黑树</h3>
<p>和<a target="_blank" title="二叉树的图形化显示" href="http://www.yalewoo.com/binary_tree_graphical_display.html" target="_blank">二叉树的显示</a>代码基本一致，不同的只是把画板中的BST改成RBT，画的时候根据结点颜色来修改画刷颜色。</p>
<p>运行效果</p>
<p><a target="_blank" href="http://7d9rd6.com1.z0.glb.clouddn.com/wp-content/uploads/2016/01/QQ图片20160128112937.jpg"><img class="alignnone size-full wp-image-2308" data-original="http://7d9rd6.com1.z0.glb.clouddn.com/wp-content/uploads/2016/01/QQ图片20160128112937.jpg" src="http://www.yalewoo.com/wp-content/themes/YLW3_lite/img/loading.gif" alt="QQ图片20160128112937" width="985" height="638" /></a></p>
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