Add all greater values to every node in a BST
Submissions: 13263   Accuracy:


  Difficulty: Medium   Marks: 4

Given a Binary Search Tree (BST), modify it so that all greater values in the given BST are added to every node.

Input Format:

The first line of input contains the number of test cases T. Each test case contains a string representing the tree as described below: 

  1. The values in the string are in the order of level order traversal of the tree where, numbers denote node values, and a character “N” denotes NULL child.

  2. For example:
    For the above tree, the string will be: 1 2 3 N N 4 6 N 5 N N 7 N

Print the inorder traversal of the modified BST.

Your Task:
In this function problem, the task is to complete the function modify which takes one argument: Address of the root of the BST. The function should contain the logic to modify the BST so that in the modified BST, every node has a value equal to the sum of its value in the original BST and values of all the elements larger than it in the original BST.

Expected Time Complexity: O(N)


50 30 70 20 40 60 80

2 1 5 N N 4 7

350 330 300 260 210 150 80

19 18 16 12 7

           /      \
         30        70
        /   \      /  \
      20    40    60   80 

The above tree should be modified to following 

           /      \
         330        150
        /   \       /  \
      350   300    210   80

Note: The Input/Output format and Example is given are used for the system's internal purpose, and should be used by a user for Expected Output only. As it is a function problem, hence a user should not read any input from the stdin/console. The task is to complete the function specified, and not to write the full code.

** For More Input/Output Examples Use 'Expected Output' option **

Contributor: Amit Khandelwal
Author: Shubham Joshi 1

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