可以用c语言代码写一下上述过程吗

当然可以，以下是用 C 语言实现该过程的代码：

#include <stdio.h>
#include <stdlib.h>

struct Node {
    int key;
    int bf;  // 平衡因子
    struct Node* left;
    struct Node* right;
};

typedef struct Node Node;

int get_height(Node* node) {
    if (node == NULL) {
        return 0;
    }
    int left_height = get_height(node->left);
    int right_height = get_height(node->right);
    return (left_height > right_height) ? left_height + 1 : right_height + 1;
}

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

Node* right_rotate(Node* node) {
    Node* new_root = node->left;
    node->left = new_root->right;
    new_root->right = node;
    node->bf = get_balance_factor(node);
    new_root->bf = get_balance_factor(new_root);
    return new_root;
}

Node* left_rotate(Node* node) {
    Node* new_root = node->right;
    node->right = new_root->left;
    new_root->left = node;
    node->bf = get_balance_factor(node);
    new_root->bf = get_balance_factor(new_root);
    return new_root;
}

Node* insert_node(int key, Node* root) {
    if (root == NULL) {
        root = (Node*)malloc(sizeof(Node));
        root->key = key;
        root->bf = 0;
        root->left = NULL;
        root->right = NULL;
    } else if (key < root->key) {
        root->left = insert_node(key, root->left);
        root->bf = get_balance_factor(root);
        if (root->bf == 2) {
            if (key < root->left->key) {
                root = right_rotate(root);
            } else {
                root->left = left_rotate(root->left);
                root = right_rotate(root);
            }
        }
    } else if (key > root->key) {
        root->right = insert_node(key, root->right);
        root->bf = get_balance_factor(root);
        if (root->bf == -2) {
            if (key > root->right->key) {
                root = left_rotate(root);
            } else {
                root->right = right_rotate(root->right);
                root = left_rotate(root);
            }
        }
    }
    return root;
}

Node* delete_node(int key, Node* root) {
    if (root == NULL) {
        return root;
    } else if (key < root->key) {
        root->left = delete_node(key, root->left);
        root->bf = get_balance_factor(root);
        if (root->bf == -2) {
            if (get_balance_factor(root->right) <= 0) {
                root = left_rotate(root);
            } else {
                root->right = right_rotate(root->right);
                root = left_rotate(root);
            }
        }
    } else if (key > root->key) {
        root->right = delete_node(key, root->right);
        root->bf = get_balance_factor(root);
        if (root->bf == 2) {
            if (get_balance_factor(root->left) >= 0) {
                root = right_rotate(root);
            } else {
                root->left = left_rotate(root->left);
                root = right_rotate(root);
            }
        }
    } else {
        if (root->left == NULL && root->right == NULL) {
            free(root);
            root = NULL;
        } else if (root->left == NULL) {
            Node* temp = root;
            root = root->right;
            free(temp);
        } else if (root->right == NULL) {
            Node* temp = root;
            root = root->left;
            free(temp);
        } else {
            Node* temp = root->left;
            while (temp->right != NULL) {
                temp = temp->right;
            }
            root->key = temp->key;
            root->left = delete_node(temp->key, root->left);
            root->bf = get_balance_factor(root);
            if (root->bf == -2) {
                if (get_balance_factor(root->right) <= 0) {
                    root = left_rotate(root);
                } else {
                    root->right = right_rotate(root->right);
                    root = left_rotate(root);
                }
            }
        }
    }
    return root;
}

void print_tree(Node* root) {
    if (root != NULL) {
        printf("[%d(%d)]", root->key, root->bf);
        if (root->left != NULL || root->right != NULL) {
            printf("(");
            print_tree(root->left);
            printf(",");
            print_tree(root->right);
            printf(")");
        }
    }
}

int main() {
    int keys[] = {16, 3, 7, 11, 9, 26, 18, 14, 15};
    int num_keys = sizeof(keys) / sizeof(keys[0]);
    Node* root = NULL;
    for (int i = 0; i < num_keys; i++) {
        root = insert_node(keys[i], root);
        print_tree(root);
        printf("\n");
    }
    printf("\n");
    root = delete_node(11, root);
    print_tree(root);
    printf("\n");
    return 0;
}

请注意，此代码仅演示了平衡二叉树的基本操作，并且只能处理整数类型的关键字。在实际应用中，可能需要根据具体情况进行修改。