notes/OJ notes/pages/Leetcode Invert-Binary-Tree.md
2022-09-03 15:41:36 +08:00

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# Leetcode Invert-Binary-Tree
#### 2022-07-06 13:33
> ##### Algorithms:
>
> #algorithm #DFS #recursion
>
> ##### Data structures:
>
> #DS #binary_tree
>
> ##### Difficulty:
>
> #coding_problem #difficulty-easy
>
> ##### Additional tags:
>
> #leetcode
>
> ##### Revisions:
>
> N/A
##### Related topics:
##### Links:
- [Link to problem](https://leetcode.com/problems/invert-binary-tree/)
---
### Problem
Given the `root` of a binary tree, invert the tree, and return _its root_.
#### Examples
**Example 1:**
![](https://assets.leetcode.com/uploads/2021/03/14/invert1-tree.jpg)
```
**Input:** root = [4,2,7,1,3,6,9]
**Output:** [4,7,2,9,6,3,1]
```
**Example 2:**
![](https://assets.leetcode.com/uploads/2021/03/14/invert2-tree.jpg)
```
**Input:** root = [2,1,3]
**Output:** [2,3,1]
```
**Example 3:**
```
**Input:** root = []
**Output:** []
```
#### Constraints
- The number of nodes in the tree is in the range `[0, 100]`.
- `-100 <= Node.val <= 100`
### Thoughts
> [!summary]
> This is a #DFS like recursion problem.
Very simple, think of base cases:
- the node is void, skip.
And the flow is following
- Catch base case
- Invert sub-trees first
- invert left and right node
### Solution
```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 {
void invert(TreeNode *root) {
if (!root) {
return;
}
invert(root->left);
invert(root->right);
TreeNode *tmp = root->left;
root->left = root->right;
root->right = tmp;
}
public:
TreeNode *invertTree(TreeNode *root) {
// Using DFS-like Recursion
invert(root);
return root;
}
};
```