AVL

参考了:http://www.cppblog.com/cxiaojia/archive/2012/08/20/187776.html

修改了其中的错误,代码实现并亲自验证过。

  平衡二叉树(Balanced Binary Tree)是二叉查找树的一个进化体,也是第一个引入平衡概念的二叉树。1962年,G.M. Adelson-Velsky 和 E.M. Landis发明了这棵树,所以它又叫AVL树。平衡二叉树要求对于每一个节点来说,它的左右子树的高度之差不能超过1,如果插入或者删除一个节点使得高度之差大于1,就要进行节点之间的旋转,将二叉树重新维持在一个平衡状态。这个方案很好的解决了二叉查找树退化成链表的问题,把插入,查找,删除的时间复杂度最好情况和最坏情况都维持在O(logN)。但是频繁旋转会使插入和删除牺牲掉O(logN)左右的时间,不过相对二叉查找树来说,时间上稳定了很多。

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" 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  平衡二叉树实现的大部分过程和二叉查找树是一样的(学平衡二叉树之前一定要会二叉查找树),区别就在于插入和删除之后要写一个旋转算法去维持平衡,维持平衡需要借助一个节点高度的属性。我参考了机械工业出版社的《数据结构与算法分析-C语言描述》写了一个C++版的代码。这本书的AVLTree讲的很好,不过没有很完整的去描述。我会一步一步的讲解如何写平衡二叉树,重点是平衡二叉树的核心部分,也就是旋转算法。

第一步:节点信息

  相对于二叉查找树的节点来说,我们需要用一个属性二叉树的高度,目的是维护插入和删除过程中的旋转算法。

代码如下:

//AVL树节点信息

template<class T>

class TreeNode

{

public:

TreeNode(T x, int h = 0): val(x), lson(NULL), rson(NULL), height(h) {}

T val;             //值

int height;              //以此节点为根的树的高度

TreeNode* lson;     //指向左孩子的指针

TreeNode* rson;     //指向右孩子的指针

};

第二步:平衡二叉树类的声明

  声明中的旋转函数将在后边的步骤中详解。

代码如下:

//AVL树类的属性和方法申明

template<class T>

class AVLtree

{

private:

TreeNode<T>* root;             //根节点

void insert(TreeNode<T>* &node, T x);             //插入

TreeNode<T>* find(TreeNode<T>* node, T x);         //查找

void deleteNode(TreeNode<T>* &node, T x);            //删除

void inOrderTraversal(TreeNode<T>* root);              //中序遍历

void postOrderTraversal(TreeNode<T>* root);

void preOrderTraversal(TreeNode<T>* root);

int GetHeight(TreeNode<T>* root);            //求树的高度

void SingRotateLeft(TreeNode<T>* &n1);         //左左情况下的旋转

void SingRotateRight(TreeNode<T>* &n1);              //右右情况下的旋转

void DoubleRotateLR(TreeNode<T>* &n1);              //左右情况下的旋转

void DoubleRotateRL(TreeNode<T>* &n1);              //右左情况下的旋转

public:

AVLtree(TreeNode<T>* ptr): root(ptr) {}

void insert(T x);            //插入接口

TreeNode<T>* find(T x);             //查找接口

void Delete(T x);           //删除接口

void traversal();            //遍历接口

};

第三步:一个辅助方法

  旋转算法需要借助于一个功能的辅助,求树的高度。这里规定,一棵空树的高度为-1,只有一个根节点的树的高度为0,以后每多一层高度加1。为了解决指针NULL这种情况,写了一个求高度的函数,这个函数还是很有必要的。

代码如下:

//求树的高度

template<class T>

int AVLtree<T>::GetHeight(TreeNode<T>* node)

{

if(node != NULL)

return node->height;

return -1;

}

第四步:旋转

  对于一个平衡的节点,由于任意节点最多有两个儿子,因此高度不平衡时,此节点的两颗子树的高度差2.容易看出,这种不平衡出现在下面四种情况:

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" 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  1、6节点的左子树3节点高度比右子树7节点大2,左子树3节点的左子树1节点高度大于右子树4节点,这种情况成为左左。

  2、6节点的左子树2节点高度比右子树7节点大2,左子树2节点的左子树1节点高度小于右子树4节点,这种情况成为左右。

  3、2节点的左子树1节点高度比右子树5节点小2,右子树5节点的左子树3节点高度大于右子树6节点,这种情况成为右左。

  4、2节点的左子树1节点高度比右子树4节点小2,右子树4节点的左子树3节点高度小于右子树6节点,这种情况成为右右。

  从图2中可以可以看出,1和4两种情况是对称的,这两种情况的旋转算法是一致的,只需要经过一次旋转就可以达到目标,我们称之为单旋转。2和3两种情况也是对称的,这两种情况的旋转算法也是一致的,需要进行两次旋转,我们称之为双旋转。

第五步:单旋转

  单旋转是针对于左左和右右这两种情况的解决方案,这两种情况是对称的,只要解决了左左这种情况,右右就很好办了。图3是左左情况的解决方案,节点k2不满足平衡特性,因为它的左子树k1比右子树Z深2层,而且k1子树中,更深的一层的是k1的左子树X子树,所以属于左左情况。

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" alt="" />

  为使树恢复平衡,我们把k2变成这棵树的根节点,因为k2大于k1,把k2置于k1的右子树上,而原本在k1右子树的Y大于k1,小于k2,就把Y置于k2的左子树上,这样既满足了二叉查找树的性质,又满足了平衡二叉树的性质。

  这样的操作只需要一部分指针改变,结果我们得到另外一颗二叉查找树,它是一棵AVL树,因为X向上一移动了一层,Y还停留在原来的层面上,Z向下移动了一层。整棵树的新高度和之前没有在左子树上插入的高度相同,插入操作使得X高度长高了。因此,由于这颗子树高度没有变化,所以通往根节点的路径就不需要继续旋转了。

代码如下:

//左左情况下的旋转

template<class T>

void AVLtree<T>::SingRotateLeft(TreeNode<T>* &n1)

{

TreeNode<T>* n2 = n1->lson;

n1->lson = n2->rson;

n2->rson = n1;

n1->height = max(GetHeight(n1->lson), GetHeight(n1->rson)) + 1;

n2->height = max(GetHeight(n2->lson), GetHeight(n2->rson)) + 1;

n1 = n2;

}

//右右情况下的旋转

template<class T>

void AVLtree<T>::SingRotateRight(TreeNode<T>* &n1)

{

TreeNode<T>* n2 = n1->rson;

n1->rson = n2->lson;

n2->lson = n1;

n1->height = max(GetHeight(n1->lson), GetHeight(n1->rson)) + 1;

n2->height = max(GetHeight(n2->lson), GetHeight(n2->rson)) + 1;

n1 = n2;

}

第六步:双旋转

  对于左右和右左这两种情况,单旋转不能使它达到一个平衡状态,要经过两次旋转。双旋转是针对于这两种情况的解决方案,同样的,这样两种情况也是对称的,只要解决了左右这种情况,右左就很好办了。图4是左右情况的解决方案,节点k3不满足平衡特性,因为它的左子树k1比右子树Z深2层,而且k1子树中,更深的一层的是k1的右子树k2子树,所以属于左右情况。

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" alt="" />

  为使树恢复平衡,我们需要进行两步,第一步,把k1作为根,进行一次右右旋转,旋转之后就变成了左左情况,所以第二步再进行一次左左旋转,最后得到了一棵以k2为根的平衡二叉树树。

代码如下:

//左右情况的旋转

template<class T>

void AVLtree<T>::DoubleRotateLR(TreeNode<T>* &n1)

{

SingRotateRight(n1->lson);

SingRotateLeft(n1);

}

//右左情况的旋转

template<class T>

void AVLtree<T>::DoubleRotateRL(TreeNode<T>* &n1)

{

SingRotateLeft(n1->rson);

SingRotateRight(n1);

}

第七步:插入

  插入的方法和二叉查找树基本一样,区别是,插入完成后需要从插入的节点开始维护一个到根节点的路径,每经过一个节点都要维持树的平衡。维持树的平衡要根据高度差的特点选择不同的旋转算法。

代码如下:

//插入

template<class T>

void AVLtree<T>::insert(TreeNode<T>* &node, T x)

{

if(node == NULL) //如果节点为空,就在此节点处加入x信息

{

node = new TreeNode<T>(x);

return;

}

if(node->val > x)//如果x小于节点的值,就继续在节点的左子树中插入x

{

insert(node->lson, x);

//如果高度之差为2的话就失去了平衡,需要旋转

if(2 == GetHeight(node->lson) - GetHeight(node->rson))

{

if(x < node->lson->val)

SingRotateLeft(node);

else

DoubleRotateLR(node);

}

}

else if(node->val < x)//如果x大于节点的值,就继续在节点的右子树中插入x

{

insert(node->rson, x);

//如果高度之差为2的话就失去了平衡,需要旋转

if(2 == GetHeight(node->rson) - GetHeight(node->lson))

{

if(x > node->rson->val)

SingRotateRight(node);

else

DoubleRotateRL(node);

}

}

//更新节点高度

node->height = max(GetHeight(node->lson), GetHeight(node->rson)) + 1;

}

template<class T>

void AVLtree<T>::insert(T x)

{

insert(root, x);

}

第八步:查找

和二叉查找树相比,查找方法没有变法,不过根据存储的特性,AVL树能维持在一个O(logN)的稳定的时间,而二叉查找树则相当不稳定。

代码如下:

//查找

template<class T>

TreeNode<T>* AVLtree<T>::find(TreeNode<T>* node, T x)

{

if(node == NULL) //如果节点为空说明没找到,返回NULL

return NULL;

if(x < node->val) //如果x小于节点的值,就继续在节点的左子树中查找x

return find(node->lson, x);

else if(x > node->val) //如果x大于节点的值,就继续在节点的左子树中查找x

return find(node->rson, x);

else //如果相等,就找到了此节点

return node;

}

template<class T>

TreeNode<T>* AVLtree<T>::find(T x)

{

return find(root, x);

}

第九步:删除

  删除的方法也和二叉查找树的一致,区别是,删除完成后,需要从删除节点的父亲开始向上维护树的平衡一直到根节点。

代码如下:

//删除

template<class T>

void AVLtree<T>::deleteNode(TreeNode<T>* &node, T x)

{

if(node == NULL) return; //没有找到值是x的节点

if(x < node->val)

{

//如果x小于节点的值,就继续在节点的左子树中删除x

deleteNode(node->lson, x);

if(2 == GetHeight(node->rson) - GetHeight(node->lson))

{

if(node->rson->lson && GetHeight(node->rson->lson) > GetHeight(node->rson->rson))

DoubleRotateRL(node);

else

SingRotateRight(node);

}

}

else if(x > node->val)

{

//如果x大于节点的值,就继续在节点的右子树中删除x

deleteNode(node->rson, x);

if(2 == GetHeight(node->lson) > GetHeight(node->rson))

{

if(node->lson->rson && GetHeight(node->lson->rson) > GetHeight(node->lson->lson))

DoubleRotateLR(node);

else

SingRotateLeft(node);

}

}

else //如果相等,此节点就是要删除的节点

{

if(node->lson && node->rson) //此节点有两个儿子

{

TreeNode<T>* ptr = node->rson; //ptr指向节点的右儿子

while(ptr->lson != NULL) ptr = ptr->lson;//找到右子树中值最小的节点

//把右子树中最小节点的值赋值给本节点

node->val = ptr->val;

//删除右子树中最小值的节点

deleteNode(node->rson, ptr->val);

if(2 == GetHeight(node->lson) - GetHeight(node->rson))

{

if(node->lson->rson && GetHeight(node->lson->rson) > GetHeight(node->lson->lson))

DoubleRotateLR(node);

else

SingRotateLeft(node);

}

}

else

{

TreeNode<T>* ptr = node;

//此节点有1个或0个儿子

if(node->lson == NULL) //有右儿子或者没有儿子

node = node->rson;

else if(node->rson == NULL) //有左儿子

node = node->lson;

delete ptr;

ptr = NULL;

}

}

if(node)

node->height = max(GetHeight(node->lson), GetHeight(node->rson)) + 1;

}

template<class T>

void AVLtree<T>::Delete(T x)

{

deleteNode(root, x);

}

第十步:遍历

代码如下:

template<class T>

void AVLtree<T>::preOrderTraversal(TreeNode<T>* root)

{

if(root)

{

cout << root->val << "(" << root->height << ") ";

preOrderTraversal(root->lson);

preOrderTraversal(root->rson);

}

}

template<class T>

void AVLtree<T>::inOrderTraversal(TreeNode<T>* root)

{

stack<TreeNode<T> *> S;

while(true)

{

if(root)

{

S.push(root);

root = root->lson;

}

else

{

if(S.empty()) break;

root = S.top();

cout << root->val << " ";

S.pop();

root = root->rson;

}

}

}

template<class T>

void AVLtree<T>::postOrderTraversal(TreeNode<T>* root)

{

stack<TreeNode<T>* > S;

TreeNode<T> *pre = NULL, *ptr = NULL;

if(root) S.push(root);

while(!S.empty())

{

ptr = S.top();

if(ptr->lson && ptr->lson != pre && !(ptr->rson && ptr->rson == pre))

S.push(ptr->lson);

else if(ptr->rson && ptr->rson != pre)

S.push(ptr->rson);

else

{

cout << ptr->val << " ";

S.pop();

pre = ptr;

}

}

}

template<class T>

void AVLtree<T>::traversal()

{

inOrderTraversal(root);

cout << endl;

postOrderTraversal(root);

cout << endl;

preOrderTraversal(root);

cout << endl;

}

第十一步:关于效率

  此数据结构插入、查找和删除的时间复杂度均为O(logN),但是插入和删除需要额外的旋转算法需要的时间,有时旋转过多也会影响效率。

  关于递归和非递归。我用的是递归的方法进行插入,查找和删除,而非递归的方法一般来说要比递归的方法快很多,但是我感觉非递归的方法写出来会比较困难,所以我还是选择了递归的方法。

  还有一种效率的问题是关于高度信息的存储,由于我们需要的仅仅是高度的差,不需要知道这棵树的高度,所以只需要使用两个二进制位就可以表示这个差。这样可以避免平衡因子的重复计算,可以稍微的加快一些速度,不过代码也丧失了相对简明性和清晰度。如果采用递归写法的话,这种微加速就更显得微乎其微了。

完整代码:

#include <iostream>
#include <stack>
#include <algorithm> using namespace std; //AVL树节点信息
template<class T>
class TreeNode
{
public:
TreeNode(T x, int h = ): val(x), lson(NULL), rson(NULL), height(h) {}
T val; //值
int height; //以此节点为根的树的高度
TreeNode* lson; //指向左孩子的指针
TreeNode* rson; //指向右孩子的指针
}; //AVL树类的属性和方法申明
template<class T>
class AVLtree
{
private:
TreeNode<T>* root; //根节点
void insert(TreeNode<T>* &node, T x); //插入
TreeNode<T>* find(TreeNode<T>* node, T x); //查找
void deleteNode(TreeNode<T>* &node, T x); //删除
void inOrderTraversal(TreeNode<T>* root); //中序遍历
void postOrderTraversal(TreeNode<T>* root);
void preOrderTraversal(TreeNode<T>* root);
int GetHeight(TreeNode<T>* root); //求树的高度 void SingRotateLeft(TreeNode<T>* &n1); //左左情况下的旋转
void SingRotateRight(TreeNode<T>* &n1); //右右情况下的旋转
void DoubleRotateLR(TreeNode<T>* &n1); //左右情况下的旋转
void DoubleRotateRL(TreeNode<T>* &n1); //右左情况下的旋转 public:
AVLtree(TreeNode<T>* ptr): root(ptr) {}
void insert(T x); //插入接口
TreeNode<T>* find(T x); //查找接口
void Delete(T x); //删除接口
void traversal(); //遍历接口
}; //求树的高度
template<class T>
int AVLtree<T>::GetHeight(TreeNode<T>* node)
{
if(node != NULL)
return node->height; return -;
} //左左情况下的旋转
template<class T>
void AVLtree<T>::SingRotateLeft(TreeNode<T>* &n1)
{
TreeNode<T>* n2 = n1->lson;
n1->lson = n2->rson;
n2->rson = n1; n1->height = max(GetHeight(n1->lson), GetHeight(n1->rson)) + ;
n2->height = max(GetHeight(n2->lson), GetHeight(n2->rson)) + ; n1 = n2;
} //右右情况下的旋转
template<class T>
void AVLtree<T>::SingRotateRight(TreeNode<T>* &n1)
{
TreeNode<T>* n2 = n1->rson;
n1->rson = n2->lson;
n2->lson = n1; n1->height = max(GetHeight(n1->lson), GetHeight(n1->rson)) + ;
n2->height = max(GetHeight(n2->lson), GetHeight(n2->rson)) + ; n1 = n2;
} //左右情况的旋转
template<class T>
void AVLtree<T>::DoubleRotateLR(TreeNode<T>* &n1)
{
SingRotateRight(n1->lson);
SingRotateLeft(n1);
} //右左情况的旋转
template<class T>
void AVLtree<T>::DoubleRotateRL(TreeNode<T>* &n1)
{
SingRotateLeft(n1->rson);
SingRotateRight(n1);
} //插入
template<class T>
void AVLtree<T>::insert(TreeNode<T>* &node, T x)
{
if(node == NULL) //如果节点为空,就在此节点处加入x信息
{
node = new TreeNode<T>(x);
return;
} if(node->val > x)//如果x小于节点的值,就继续在节点的左子树中插入x
{
insert(node->lson, x); //如果高度之差为2的话就失去了平衡,需要旋转
if( == GetHeight(node->lson) - GetHeight(node->rson))
{
if(x < node->lson->val)
SingRotateLeft(node);
else
DoubleRotateLR(node);
}
}
else if(node->val < x)//如果x大于节点的值,就继续在节点的右子树中插入x
{
insert(node->rson, x); //如果高度之差为2的话就失去了平衡,需要旋转
if( == GetHeight(node->rson) - GetHeight(node->lson))
{
if(x > node->rson->val)
SingRotateRight(node);
else
DoubleRotateRL(node);
}
} //更新节点高度
node->height = max(GetHeight(node->lson), GetHeight(node->rson)) + ;
} template<class T>
void AVLtree<T>::insert(T x)
{
insert(root, x);
} template<class T>
void AVLtree<T>::preOrderTraversal(TreeNode<T>* root)
{
if(root)
{
cout << root->val << "(" << root->height << ") ";
preOrderTraversal(root->lson);
preOrderTraversal(root->rson);
}
} template<class T>
void AVLtree<T>::inOrderTraversal(TreeNode<T>* root)
{
stack<TreeNode<T> *> S; while(true)
{
if(root)
{
S.push(root);
root = root->lson;
}
else
{
if(S.empty()) break;
root = S.top();
cout << root->val << " ";
S.pop();
root = root->rson;
}
}
} template<class T>
void AVLtree<T>::postOrderTraversal(TreeNode<T>* root)
{
stack<TreeNode<T>* > S;
TreeNode<T> *pre = NULL, *ptr = NULL;
if(root) S.push(root); while(!S.empty())
{
ptr = S.top();
if(ptr->lson && ptr->lson != pre && !(ptr->rson && ptr->rson == pre))
S.push(ptr->lson);
else if(ptr->rson && ptr->rson != pre)
S.push(ptr->rson);
else
{
cout << ptr->val << " ";
S.pop();
pre = ptr;
}
}
} template<class T>
void AVLtree<T>::traversal()
{
inOrderTraversal(root);
cout << endl;
postOrderTraversal(root);
cout << endl;
preOrderTraversal(root);
cout << endl;
} //查找
template<class T>
TreeNode<T>* AVLtree<T>::find(TreeNode<T>* node, T x)
{
if(node == NULL) //如果节点为空说明没找到,返回NULL
return NULL; if(x < node->val) //如果x小于节点的值,就继续在节点的左子树中查找x
return find(node->lson, x);
else if(x > node->val) //如果x大于节点的值,就继续在节点的左子树中查找x
return find(node->rson, x);
else //如果相等,就找到了此节点
return node;
} template<class T>
TreeNode<T>* AVLtree<T>::find(T x)
{
return find(root, x);
} //删除
template<class T>
void AVLtree<T>::deleteNode(TreeNode<T>* &node, T x)
{
if(node == NULL) return; //没有找到值是x的节点 if(x < node->val)
{
//如果x小于节点的值,就继续在节点的左子树中删除x
deleteNode(node->lson, x);
if( == GetHeight(node->rson) - GetHeight(node->lson))
{
if(node->rson->lson && GetHeight(node->rson->lson) > GetHeight(node->rson->rson))
DoubleRotateRL(node);
else
SingRotateRight(node);
}
}
else if(x > node->val)
{
//如果x大于节点的值,就继续在节点的右子树中删除x
deleteNode(node->rson, x);
if( == GetHeight(node->lson) > GetHeight(node->rson))
{
if(node->lson->rson && GetHeight(node->lson->rson) > GetHeight(node->lson->lson))
DoubleRotateLR(node);
else
SingRotateLeft(node);
}
}
else //如果相等,此节点就是要删除的节点
{
if(node->lson && node->rson) //此节点有两个儿子
{
TreeNode<T>* ptr = node->rson; //ptr指向节点的右儿子 while(ptr->lson != NULL) ptr = ptr->lson;//找到右子树中值最小的节点
//把右子树中最小节点的值赋值给本节点
node->val = ptr->val;
//删除右子树中最小值的节点
deleteNode(node->rson, ptr->val);
if( == GetHeight(node->lson) - GetHeight(node->rson))
{
if(node->lson->rson && GetHeight(node->lson->rson) > GetHeight(node->lson->lson))
DoubleRotateLR(node);
else
SingRotateLeft(node);
}
}
else
{
TreeNode<T>* ptr = node;
//此节点有1个或0个儿子
if(node->lson == NULL) //有右儿子或者没有儿子
node = node->rson;
else if(node->rson == NULL) //有左儿子
node = node->lson; delete ptr;
ptr = NULL;
}
} if(node)
node->height = max(GetHeight(node->lson), GetHeight(node->rson)) + ;
} template<class T>
void AVLtree<T>::Delete(T x)
{
deleteNode(root, x);
} TreeNode<int>* create1()
{
TreeNode<int> *a = new TreeNode<int>(, );
TreeNode<int> *b = new TreeNode<int>(, );
TreeNode<int> *c = new TreeNode<int>();
TreeNode<int> *d = new TreeNode<int>();
TreeNode<int> *e = new TreeNode<int>(); a->lson = b;
a->rson = c;
b->lson = d;
b->rson = e; return a;
} TreeNode<int>* create2()
{
TreeNode<int> *a = new TreeNode<int>(, );
TreeNode<int> *b = new TreeNode<int>(, );
TreeNode<int> *c = new TreeNode<int>();
TreeNode<int> *d = new TreeNode<int>();
TreeNode<int> *e = new TreeNode<int>(); a->lson = b;
a->rson = c;
b->lson = d;
b->rson = e; return a;
} int main()
{
TreeNode<int>* root = create2();
AVLtree<int> avl(root);
avl.traversal();
avl.insert();
TreeNode<int>* node = avl.find();
if(node) cout << "find : " << node->val << " height = " << node->height << endl;
avl.traversal();
avl.Delete();
avl.traversal();
avl.Delete();
avl.traversal();
avl.Delete();
avl.traversal(); return ;
}

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