AVL树删除 C++
创始人
2024-11-13 02:01:05
0

下面是一个示例的AVL树删除的C++代码:

#include 
using namespace std;

class Node {
public:
    int data;
    Node* left;
    Node* right;
    int height;
};

int max(int a, int b) {
    return (a > b) ? a : b;
}

int getHeight(Node* node) {
    if (node == NULL)
        return 0;
    return node->height;
}

Node* newNode(int data) {
    Node* node = new Node();
    node->data = data;
    node->left = NULL;
    node->right = NULL;
    node->height = 1;
    return node;
}

Node* rotateRight(Node* y) {
    Node* x = y->left;
    Node* T2 = x->right;

    x->right = y;
    y->left = T2;

    y->height = max(getHeight(y->left), getHeight(y->right)) + 1;
    x->height = max(getHeight(x->left), getHeight(x->right)) + 1;

    return x;
}

Node* rotateLeft(Node* x) {
    Node* y = x->right;
    Node* T2 = y->left;

    y->left = x;
    x->right = T2;

    x->height = max(getHeight(x->left), getHeight(x->right)) + 1;
    y->height = max(getHeight(y->left), getHeight(y->right)) + 1;

    return y;
}

int getBalance(Node* node) {
    if (node == NULL)
        return 0;
    return getHeight(node->left) - getHeight(node->right);
}

Node* insert(Node* node, int data) {
    if (node == NULL)
        return newNode(data);

    if (data < node->data)
        node->left = insert(node->left, data);
    else if (data > node->data)
        node->right = insert(node->right, data);
    else
        return node;

    node->height = 1 + max(getHeight(node->left), getHeight(node->right));

    int balance = getBalance(node);

    if (balance > 1 && data < node->left->data)
        return rotateRight(node);

    if (balance < -1 && data > node->right->data)
        return rotateLeft(node);

    if (balance > 1 && data > node->left->data) {
        node->left = rotateLeft(node->left);
        return rotateRight(node);
    }

    if (balance < -1 && data < node->right->data) {
        node->right = rotateRight(node->right);
        return rotateLeft(node);
    }

    return node;
}

Node* minValueNode(Node* node) {
    Node* current = node;
    while (current->left != NULL)
        current = current->left;
    return current;
}

Node* deleteNode(Node* root, int data) {
    if (root == NULL)
        return root;

    if (data < root->data)
        root->left = deleteNode(root->left, data);
    else if (data > root->data)
        root->right = deleteNode(root->right, data);
    else {
        if ((root->left == NULL) || (root->right == NULL)) {
            Node* temp = root->left ? root->left : root->right;
            if (temp == NULL) {
                temp = root;
                root = NULL;
            }
            else
                *root = *temp;
            free(temp);
        }
        else {
            Node* temp = minValueNode(root->right);
            root->data = temp->data;
            root->right = deleteNode(root->right, temp->data);
        }
    }

    if (root == NULL)
        return root;

    root->height = 1 + max(getHeight(root->left), getHeight(root->right));

    int balance = getBalance(root);

    if (balance > 1 && getBalance(root->left) >= 0)
        return rotateRight(root);

    if (balance > 1 && getBalance(root->left) < 0) {
        root->left = rotateLeft(root->left);
        return rotateRight(root);
    }

    if (balance < -1 && getBalance(root->right) <= 0)
        return rotateLeft(root);

    if (balance < -1 && getBalance(root->right) > 0) {
        root->right = rotateRight(root->right);
        return rotateLeft(root);
    }

    return root;
}

void preOrder(Node* root) {
    if (root != NULL) {
        cout << root->data << " ";

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