C++平衡二叉树，要求使用类模板，只包含插入删除功能，不要查询功能，代码实现

#include <iostream>

template <typename T>
class AVLTree {
public:
    struct Node {
        T data;
        Node* left;
        Node* right;
        int height;

        Node(T value) : data(value), left(nullptr), right(nullptr), height(1) {}
    };

    AVLTree() : root(nullptr) {}

    void insert(T value) {
        root = insert(root, value);
    }

    void remove(T value) {
        root = remove(root, value);
    }

private:
    Node* root;

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

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

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

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

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

        return y;
    }

    Node* insert(Node* node, T value) {
        if (node == nullptr) {
            return new Node(value);
        }

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

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

        int balance = getBalanceFactor(node);

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

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

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

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

        return node;
    }

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

    Node* remove(Node* root, T value) {
        if (root == nullptr) {
            return root;
        }

        if (value < root->data) {
            root->left = remove(root->left, value);
        } else if (value > root->data) {
            root->right = remove(root->right, value);
        } else {
            if (root->left == nullptr || root->right == nullptr) {
                Node* temp = root->left ? root->left : root->right;

                if (temp == nullptr) {
                    temp = root;
                    root = nullptr;
                } else {
                    *root = *temp;
                }
                delete temp;
            } else {
                Node* temp = minValue