Difficulty Level: Basic

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Sum Tree (Function Problem)

Write a function that returns true if the given Binary Tree is SumTree else false. A SumTree is a Binary Tree where value of every node x is equal to sum of nodes present in its left subtree and right subtree of x. An empty tree is SumTree and sum of an empty tree can be considered as 0. A leaf node is also considered as SumTree.

Following is an example of SumTree.

        /    \
      10      3
    /   \   /   \ 
   4     6  1    2



The task is to complete the method which takes one argument, root of Binary Tree. There are multiple test cases. For each test case, this method will be called individually.

The function should return true if passed tree is Sum Tree, else false

1 <=T<= 30
1 <=Number of nodes<= 1000
1 <=Data of a node<= 1000


3 1 L 3 2 R
10 20 L 10 30 R 20 40 L 20 60 R


There are two test cases.  First case represents a tree with 3 nodes and 2 edges where root is 3, left child of 3 is 1 and right child of 3 is 2.   Second test case represents a tree with 4 edges and 5 nodes.

Note:The Input/Ouput format and Example given are used for 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 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, Harshit Sidhwa

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