以下是红黑树节点删除的基本实现源码示例,使用C++语言编写。请注意,这只是一个简单的实现,并没有包含完整的红黑树类和相关操作(如插入、查找等)。实际应用中,需要根据具体情况进行调整。
#include <iostream>
enum Color { RED, BLACK };
struct Node {
int data;
Color color;
Node *left, *right, *parent;
Node(int data) : data(data), color(RED), left(nullptr), right(nullptr), parent(nullptr) {}
};
class RedBlackTree {
private:
Node* root;
Node* TNULL;
void fixDelete(Node* x) {
while (x != root && x->color == BLACK) {
if (x == x->parent->left) {
Node* sibling = x->parent->right;
if (sibling->color == RED) {
sibling->color = BLACK;
x->parent->color = RED;
leftRotate(x->parent);
sibling = x->parent->right;
}
if (sibling->left->color == BLACK && sibling->right->color == BLACK) {
sibling->color = RED;
x = x->parent;
} else {
if (sibling->right->color == BLACK) {
sibling->left->color = BLACK;
sibling->color = RED;
rightRotate(sibling);
sibling = x->parent->right;
}
sibling->color = x->parent->color;
x->parent->color = BLACK;
sibling->right->color = BLACK;
leftRotate(x->parent);
x = root; // Exit the loop
}
} else {
Node* sibling = x->parent->left;
if (sibling && sibling -> color == RED) {
sibling -> color = BLACK;
x -> parent -> color = RED;
rightRotate(x -> parent);
sibling = x -> parent -> left;
}
if (sibling -> right && sibling -> right -> color == BLACK &&
sibling -> left && sibling -> left -> color == BLACK) {
sibling -> color = RED;
x= x → parent;
} else {
if (sibling → left → color ==BLACK ) {
//Perform rotations
//... (similar to above)
}
}
}
}
// Set the root to black
x→color=BLACK;
}
void rbTransplant(Node* u, Node* v) {
if(u→parent==nullptr)
root=v;
else if(u==u→parent→left)
u→parent→left=v;
else
u→parent→right=v;
v→parent=u→parent;
}
void deleteNodeHelper(Node* node, int key){
Node* z = TNULL;
Node* temp;
while(node!=TNULL){
if(node→data==key){
z=node;
}
if(node → data <= key){
node=node → right;
}else{
node=node → left ;
}
}
// If the node is not found
if(z==TNULL){
std::cout<<"Couldn't find key in the tree"<<std::endl ;
return ;
}
temp=z ;
Color originalColor=temp → color ;
// Case 1: The node to be deleted is a leaf node.
if(z → left==TNULL){
rbTransplant(z,z→right);
temp → right → parent=z−> parent ;
}else if(z → right==TNULL){
rbTransplant(z,z − > left);
temp − > left − > parent=z−> parent ;
}else{
temp=z→right ;
while(temp−>left!=TNULL)
temp=temp−>left ;
originalColor=temp−> color ;
// Copy the properties of the successor over to z.
z−>data=temp − >data ;
// Now delete the successor.
deleteNodeHelper(z−>right,temp−>data);
}
delete z ;
// Fixing the tree after deletion of a node.
fixDelete(temp );
}
public:
RedBlackTree() {
TNULL=new Node(0);
TNULL- > color=BLACK ;
root=TNULL ;
}
void deleteNode(int data){
deleteNodeHelper(this-root ,data);
}
// Add other methods like insert, search and so on as needed...
};
int main() {
RedBlackTree bst;
/* Insert nodes into the tree */
bst.deleteNode(10); // Example usage
return 0;
}
注意事项:
- 完整性:这个代码片段仅演示了红黑树中节点删除的基本逻辑,而没有展示插入、查找和其他辅助函数等。
- 内存管理:在实际应用中,确保适当管理内存,以避免内存泄漏。
- 测试:务必对你的实现进行充分的测试,以确保它在各种情况下都能正常工作,包括边界情况。
如果您有特定需求或需要进一步的功能,可以继续询问!
内容由零声教学AI助手提供,问题来源于学员提问