Transform to Sum Tree
Easy Accuracy: 50.22% Submissions: 23292 Points: 2

Given a Binary Tree of size N , where each node can have positive or negative values. Convert this to a tree where each node contains the sum of the left and right sub trees of the original tree. The values of leaf nodes are changed to 0.

Example 1:

Input:
             10
          /      \
        -2        6
       /   \     /  \
     8     -4   7    5

Output:
            20
          /    \
        4        12
       /  \     /  \
     0     0   0    0

Explanation:

           (4-2+12+6)
          /           \
      (8-4)          (7+5)
       /   \         /  \
      0     0       0    0

 

Your Task:  
You dont need to read input or print anything. Complete the function toSumTree() which takes root node as input parameter and modifies the given tree in-place.

Note: If you click on Compile and Test the output will be the in-order traversal of the modified tree.


Expected Time Complexity: O(N)
Expected Auxiliary Space: O(height of tree)

 

Constraints:
1 ≤ N ≤ 104

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