Given a Binary Tree of N nodes and a positive integer k. The task is to count all distinct nodes that are distance k from a leaf node. Here, k distance from leaf means k levels higher than a leaf node. For example, if k is more than the height of Binary Tree, then nothing should be counted.

Input Format:
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 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

Output Format:
Count the distinct number of nodes that are at distance k from the leaf nodes.

Your Task:
You don't have to take input. Complete the function printKDistantfromLeaf that takes node and k as parameters and returns the number of nodes that are at distance k from the leaf nodes.

Constraints:
1 <= T <= 30
1 <= N <= 105

Example:
Input:

2
1 2 3 4 5 6 7 N N N N N 8
2
1 3 N 5 N 7 8 N N 9
4
Output:
2
1

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: Ayush Govil
Author: Ayush Govil 1


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