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从二叉搜索树中删除只有一个孩子的节点

[英]Deleting a node with only one child from a Binary Search Tree

这是从二叉搜索树删除节点的代码:我的问题是:为什么我们按引用传递的节点指针以DelSingle功能,但我们只传递一个节点指针以DelDoubleByCopying功能?

template <class T>
bool BST<T>::DeleteNode(T& val)
{
BSTNode<T> * node = root, *prev = NULL;

if (IsEmpty() == true)
    return false;

while (node != NULL)
{
    if (node->val == val)
        break;
    prev = node;
    if (val < node->val)
        node = node->left;
    else
        node = node->right;
}

if (node == NULL)
    return false;

if (node->left == NULL || node->right == NULL)
{
    if (node == root)
        DelSingle(root);
    else if(node == prev->left)
        DelSingle(prev->left);
    else
        DelSingle(prev->right);
}
else
    DelDoubleByCopying(node);

return true;
}

template <class T>
void BST<T>::DelSingle(BSTNode<T>*& ptr)
{
BSTNode<T>* delNode = ptr;

if(delNode->left == NULL) // node does not have a left child
    ptr = delNode->right;
else if(delNode->right == NULL) // node does not have a right child
    ptr = delNode->left;
delete delNode;
}

template <class T>
void BST<T>::DelDoubleByCopying(BSTNode<T>* node)
{
BSTNode<T> *prev, *rep;

rep = node->left;  //Find the largest child in the left subtree
prev = node;
while (rep->right != NULL)
{
    prev = rep;
    rep = rep->right;
}
node->val = rep->val;
if (prev == node)
    prev->left = rep->left;
else
    prev->right = rep->left;
delete rep;
}

这是“二进制搜索树”节点的类:

template <class T>
class BSTNode
{ 
public:
BSTNode(T& val, BSTNode* left, BSTNode* right);
~BSTNode();
T GetVal();
BSTNode* GetLeft();
BSTNode* GetRight();

private:
T val;
BSTNode* left;
BSTNode* right;
int depth, height;
friend class BST<T>;
};
  • DelSingle()

鉴于以下结构

        parent
    ptr1    ptr2
child1

假设我们要删除ptr1

基本上, DelSingle()确实是交换child1ptr1 ,然后得到的乘坐child1child1是不是ptr1曾经是)。

ptr通过引用传递,因为您实际上是在更改指针 ,父级的左子级不是child1

  • DelDoubleByCopying()

您不需要逐个引用传递节点,因为node不会更改,更改的node->leftnode->left (或node->right )。

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