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 maxDiff. You 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:
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.
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 <= 10^{4}
0 <= Data of a node <= 10^{5}
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.
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