Min distance between two given nodes of a Binary Tree
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  Difficulty: Medium   Marks: 4
Associated Course(s):   Amazon SDE Test Series

Given a binary tree and two node values your task is to find the minimum distance between them.


First line of input contains the number of test cases T. For each test case, there will be only a two lines of input first of 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 denotes 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
The next line contains two integers denoting two nodes a and b.

There are multiple test cases. For each test case, this method will be called individually.

The function should return min distance between two node values .

1 <= T <= 100
1 <= Number of nodes <= 104
1 <= Data of a node <= 105


1 2 3
2 3 


In above example there is one test case which represent a tree with 3 nodes and 2 edges where root is 1, left child of 1 is 2 and right child of 1 is 3.  

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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