1038. Binary Search Tree to Greater Sum Tree - medium
문제
Given the root of a binary search tree with distinct values, modify it so that every node has a new value equal to the sum of the values of the original tree that are greater than or equal to node.val.
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.
 
제한사항
- The number of nodes in the tree is between 1 and 100.
 - Each node will have value between 0 and 100.
 - The given tree is a binary search tree.
 
입출력 예

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Input: [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]
풀이
- Tree
 
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/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 * };
 */
class Solution {
public:
    int sum = 0;
    
    // PreOrder, InOreder, PostOrder를 응용하여,
    // right -> root -> left 순으로 탐방하는 Ordering
    void order(TreeNode* root){
        if(!root)
            return;
        
        order(root->right);
        
        sum += root->val;
        root->val = sum;
        
        order(root->left);
    }
    
    TreeNode* bstToGst(TreeNode* root) {
        order(root);
        return root;
    }
};