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Given a binary tree, find height of it.

        1
     /     \
   10      39
  /
5
The above tree has a height of 3.
Note: Height of empty tree is considered 0.

Input Format:
The first line of input contains T denoting the number of testcases. T testcases follow. Each testcase contains two lines of input. The first line contains number of edges. The second line contains relation between nodes.

Output Format:
For each testcase, in a new line, print the height of tree.

Your Task:
You don't have to take input. Complete the function height() that takes node as parameter and returns the height. The printing is done by the driver code.

Constraints:
1 <= T <= 100
1 <= Number of nodes <= 100
1 <= Data of a node <= 1000

Example:
Input:
2
2
1 2 L 1 3 R
4
10 20 L 10 30 R 20 40 L 20 60 R

Output:
2
3

Explanation:
Testcase1: The tree is
        1
     /      \
   3       2
So, the height would be 2.
Testcase2: The tree is
                           10
                        /        \
                     20         30
                  /       \
               40       60
So, height would be 3.
 

** For More Input/Output Examples Use 'Expected Output' option **

Contributor: Amit Khandelwal, Harshit Sidhwa
Author: kartik
Editorial


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