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1038. Binary Search Tree to Greater Sum Tree

LeetCode article · C++ solution
Website made by wuisabel-gif · Original C++ code by keineahnung2345
two pointersC++Markdown
103

A good way into this one is to ask: what do we need to remember so we never redo work blindly? For 1038. Binary Search Tree to Greater Sum Tree, the solution in this repository is mainly a two pointers solution.

Guide

What?

The first job is to translate the English prompt into state, transition, and stopping conditions. Instead of trying to be clever immediately, read the code as a sequence of questions:

  • What state are we keeping?
  • How do we move from one state to the next?
  • When do we know the answer is already determined?

For this file, the main tools are: two pointers.

Guide

When?

This is the kind of solution you want when the problem has structure hiding inside a messy-looking input. The accepted code reduces that pressure by storing exactly the information that remains useful later.

The important function names to track are inOrder, bstToGst.

Guide

Why?

The win comes from making each line carry responsibility: store the useful state, discard the rest, keep moving.

  • The final return is not magic; it is the invariant after the loops or recursion have finished doing their accounting.

Guide

How?

Walk through the solution in this order:

  1. Read the setup variables first.
  2. Follow the main loop or recursive helper next.
  3. Watch where invalid states get skipped.
  4. Check which value survives to the return statement.

The most important competitive-programming habit here is to trust the invariant. Once the invariant is right, the loops become much less scary.

Guide

Complexity

  • Time: O(n) to O(n log n), depending on the dominant loop or data structure operation
  • Space: O(n) in the usual case for auxiliary containers or recursion

Guide

C++ Solution

Your submission

The accepted solution

solution.cpp
01//Runtime: 4 ms, faster than 63.25% of C++ online submissions for Binary Search Tree to Greater Sum Tree.
02//Memory Usage: 9.1 MB, less than 100.00% of C++ online submissions for Binary Search Tree to Greater Sum Tree.
03
04/**
05 * Definition for a binary tree node.
06 * struct TreeNode {
07 *     int val;
08 *     TreeNode *left;
09 *     TreeNode *right;
10 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
11 * };
12 */
13class Solution {
14public:
15    int acc = 0;
16    void inOrder(TreeNode* node){
17        //in-order traversal, from right to left
18        
19        //visit right child
20        if(node->right) inOrder(node->right);
21        
22        //visit itself
23        node->val += acc;
24        //acc becomes old node->val + acc
25        acc = node->val;
26        
27        //visit left child
28        if(node->left) inOrder(node->left);
29    };
30    
31    TreeNode* bstToGst(TreeNode* root) {
32        if(root) inOrder(root);
33        return root;
34    }
35};

Cost

Complexity

Time
O(n) to O(n log n), depending on the dominant loop or data structure operation
Dominated by the main traversal, recursion, or data-structure operations in the code.
Space
O(n) in the usual case for auxiliary containers or recursion
Auxiliary state plus the answer structure where the problem requires one.