Given the following Binary Tree, reverse the Tree as in the diagram below. Similarly, invert the tree (or turn upside down) and return to its root. The solution can be done using a Recursive method or function, or you can use an iterative method to combine both solutions within your code. /** * Definition for a binary tree node. * struct TreeNode { int val; TreeNode *left; TreeNode *right; TreeNode(): val(0), left(nullptr), right(nullptr) {} TreeNode(int x) : val(x), left(nullptr), right(nullptr) {} TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {} * * * * * * */ class Solution { public: 9 } TreeNode* invertTree(TreeNode* root) { }

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Please type in Java and provide explanations/comments about what the code is doing and why.

Psedeocode provided and can be worked off of.

**Inverting a Binary Tree**

Given the following **Binary Tree**, reverse the tree as shown in the diagram below. Similarly, invert the tree (or turn upside down) and return to its root.

### Diagram Explanation:

The diagram shows two binary trees. 

- The **left tree** has the following structure:
  - Root node with value 4.
  - Two child nodes from the root: Left child with value 2 and right child with value 7.
  - Node 2 has two children: Left child with value 1 and right child with value 3.
  - Node 7 has two children: Left child with value 6 and right child with value 9.

- The **right tree** is the inverted version of the left tree:
  - Root node with value 4.
  - Two child nodes from the root: Left child with value 7 and right child with value 2.
  - Node 7 has two children: Left child with value 9 and right child with value 6.
  - Node 2 has two children: Left child with value 3 and right child with value 1.

### Solution Approach:

The solution can be achieved using a **Recursive method** or function. Alternatively, an **iterative method** can be used to combine both solutions within your code.

### Code Definition:

```cpp
/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode() : val(0), left(nullptr), right(nullptr) {}
 *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
 *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
 * };
 */

class Solution {
public:
    TreeNode* invertTree(TreeNode* root) {
        // Implementation goes here
    }
};
```

This code snippet defines the structure for a binary tree node and outlines the function to invert a binary tree. The `invertTree` function is currently a placeholder for the actual implementation.
Transcribed Image Text:**Inverting a Binary Tree** Given the following **Binary Tree**, reverse the tree as shown in the diagram below. Similarly, invert the tree (or turn upside down) and return to its root. ### Diagram Explanation: The diagram shows two binary trees. - The **left tree** has the following structure: - Root node with value 4. - Two child nodes from the root: Left child with value 2 and right child with value 7. - Node 2 has two children: Left child with value 1 and right child with value 3. - Node 7 has two children: Left child with value 6 and right child with value 9. - The **right tree** is the inverted version of the left tree: - Root node with value 4. - Two child nodes from the root: Left child with value 7 and right child with value 2. - Node 7 has two children: Left child with value 9 and right child with value 6. - Node 2 has two children: Left child with value 3 and right child with value 1. ### Solution Approach: The solution can be achieved using a **Recursive method** or function. Alternatively, an **iterative method** can be used to combine both solutions within your code. ### Code Definition: ```cpp /** * Definition for a binary tree node. * struct TreeNode { * int val; * TreeNode *left; * TreeNode *right; * TreeNode() : val(0), left(nullptr), right(nullptr) {} * TreeNode(int x) : val(x), left(nullptr), right(nullptr) {} * TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {} * }; */ class Solution { public: TreeNode* invertTree(TreeNode* root) { // Implementation goes here } }; ``` This code snippet defines the structure for a binary tree node and outlines the function to invert a binary tree. The `invertTree` function is currently a placeholder for the actual implementation.
Expert Solution
Step 1

Binary Tree :

A binary tree, also known as the left child and the right child, is a type of tree data structure used in computer science where each node can have up to two children.

Recursive Solution :

It is simple to recursively solve one of the most well-known interview questions. The plan is to move through the tree in a preorder approach, swapping each node's left and right child before recursively inverting its left and right subtree for each node that is encountered. The tree can also be navigated in a postorder method.

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