Given a Binary Tree of size N, your task is to complete the function printPaths() that prints all the possible paths from root node to the all the leaf node's of the binary tree.

       1
    /     \
   2       3
  /  \    / \
 4    5  6   7
All possible paths:
1->2->4
1->2->5
1->3->6
1->3->7

Input:
First line of input contains the number of test cases T. For each test case, there will be two lines: 

1. First line of each test case will be an integer N denoting the number of parent child relationships.

2. Second line of each test case will print the level order traversal of the tree in the form of N space separated triplets. The description of triplets is as follows:

   • Each triplet will contain three space-separated elements of the form (int, int char).

   • The first integer element will be the value of the parent. 

   • The second integer will be the value of the corresponding left or right child. In case the child is null, this value will be -1.

   • 
     The third element of triplet which is a character can take any of the three values ‘L’, ‘R’ or ‘N’. L denotes that the children is a left child, R denotes that the children is a Right Child and N denotes that the child is NULL.

  Please note that the relationships are printed only for internal nodes and not for leaf nodes. 

Output:
The function should print all possible paths from the root node to the leaf node. The paths should start from root to leftmost leaf node and then should move towards the right of the tree. After every path append a '#' symbol to the path. 

Constraints:
1<=T<=30
1<=N<=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:
1 3 #1 2 #
10 20 40 #10 20 60 #10 30 #

Note: The Input/Ouput format and Example given, are used for the 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 the 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 **