用c++以二叉链表作为二叉树的存储结构，计算二叉树的高度和最大的宽度

好的，我知道了，下面是代码实现：

#include <iostream>
#include <queue>

using namespace std;

// 二叉树结点
struct TreeNode {
    int val;
    TreeNode* left;
    TreeNode* right;
    TreeNode(int x) : val(x), left(NULL), right(NULL) {}
};

// 二叉树类
class BinaryTree {
public:
    // 构造函数
    BinaryTree() : root(NULL) {}

    // 插入结点
    void insert(int val) {
        TreeNode* node = new TreeNode(val);
        if (root == NULL) {
            root = node;
            return;
        }
        queue<TreeNode*> q;
        q.push(root);
        while (!q.empty()) {
            TreeNode* cur = q.front();
            q.pop();
            if (cur->left == NULL) {
                cur->left = node;
                return;
            } else {
                q.push(cur->left);
            }
            if (cur->right == NULL) {
                cur->right = node;
                return;
            } else {
                q.push(cur->right);
            }
        }
    }

    // 计算二叉树的高度
    int getHeight() {
        return getHeight(root);
    }

    // 计算二叉树的最大宽度
    int getMaxWidth() {
        if (root == NULL) {
            return 0;
        }
        int maxWidth = 1;
        queue<TreeNode*> q;
        q.push(root);
        while (!q.empty()) {
            int size = q.size();
            maxWidth = max(maxWidth, size);
            for (int i = 0; i < size; i++) {
                TreeNode* cur = q.front();
                q.pop();
                if (cur->left != NULL) {
                    q.push(cur->left);
                }
                if (cur->right != NULL) {
                    q.push(cur->right);
                }
            }
        }
        return maxWidth;
    }

private:
    TreeNode* root;

    // 辅助函数：计算以root为根的二叉树的高度
    int getHeight(TreeNode* root) {
        if (root == NULL) {
            return 0;
        }
        int leftHeight = getHeight(root->left);
        int rightHeight = getHeight(root->right);
        return max(leftHeight, rightHeight) + 1;
    }
};

int main() {
    BinaryTree tree;
    tree.insert(1);
    tree.insert(2);
    tree.insert(3);
    tree.insert(4);
    tree.insert(5);
    tree.insert(6);
    tree.insert(7);
    cout << "Height of the binary tree is " << tree.getHeight() << endl;
    cout << "Max width of the binary tree is " << tree.getMaxWidth() << endl;
    return 0;
}

输出结果为：

Height of the binary tree is 3
Max width of the binary tree is 4

其中，getHeight()函数使用递归计算二叉树的高度；getMaxWidth()函数使用队列实现宽度优先搜索，计算二叉树的最大宽度。