Given a Binary Tree, you need to find the maximum value which you can get by subtracting the value of node B from the value of node A, where A and B are two nodes of the binary tree and A is an ancestor of B. You are required to complete the function maxDiffYou should not read any input from stdin/console. There are multiple test cases. For each test case, this method will be called individually.

Input:
The first line of input contains the number of test cases T. For each test case, there will be only a single line of input which is 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

Output:
The function should return an integer denoting the maximum difference.

User Task:
The task is to complete the function maxDiff() which finds the maximum difference between the node and its ancestor.

Constraints:
1 <= T <= 30
1 <= Number of edges <= 104
0 <= Data of a node <= 105

Example:
Input:
2
5 2 1
1 2 3 N N N 7
Output:
4
-1

Explanation:
Testcase 1
:

             5
           /    \
         2      1
The maximum difference we can get is 4, which is bewteen 5 and 1.

Testcase 2:

             1
           /    \
         2      3
                   \
                    7
The maximum difference we can get is -1, which is bewteen 1 and 2.

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
Author: Shubham Joshi 1


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