# Convert BST To Greater Tree Problem

## Description

LeetCode Problem 538.

Given the root of a Binary Search Tree (BST), convert it to a Greater Tree such that every key of the original BST is changed to the original key plus the sum of all keys greater than the original key in BST.

As a reminder, a binary search tree is a tree that satisfies these constraints:

• The left subtree of a node contains only nodes with keys less than the node’s key.
• The right subtree of a node contains only nodes with keys greater than the node’s key.
• Both the left and right subtrees must also be binary search trees.

Example 1:

``````1
2
Input: root = [4,1,6,0,2,5,7,null,null,null,3,null,null,null,8]
Output: [30,36,21,36,35,26,15,null,null,null,33,null,null,null,8]
``````

Example 2:

``````1
2
Input: root = [0,null,1]
Output: [1,null,1]
``````

Example 3:

``````1
2
Input: root = [1,0,2]
Output: [3,3,2]
``````

Example 4:

``````1
2
Input: root = [3,2,4,1]
Output: [7,9,4,10]
``````

Constraints:

• The number of nodes in the tree is in the range [0, 10^4].
• -10^4 <= Node.val <= 10^4
• All the values in the tree are unique.
• root is guaranteed to be a valid binary search tree.

## Sample C++ Code

``````1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
/**
* 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:
int sum = 0;
TreeNode* convertBST(TreeNode* root) {
if (root != NULL) {
convertBST(root->right);
sum += root->val;
root->val = sum;
convertBST(root->left);
}
return root;
}
};
``````