Given a Binary Tree, write a function to check whether the given Binary Tree is a prefect Binary Tree or not. A Binary tree is Perfect Binary Tree in which all internal nodes have two children and all leaves are at same level.
Input:
First line of input contains the number of test cases T. For each test case, there will be two lines:
First line of each test case will be an integer N denoting the number of parent child relationships.
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 parent.
The second integer will be the value of 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:
Print "Yes" (without quotes) if the binary tree is perfect binary tree.
Print "No" (without quotes) if the binary tree is not a perfect binary tree.
Driver code will print the output based upon the value returned by function.
Your Task:
Finish the function such that it returns 1 if the given tree is perfect binary tree and 0 if not.
Constraints:
1<=T<=10^5
1<=N<=10^5
1<=data of node<=10^5
Example:
Input:
3
6
10 20 L 10 30 R 20 40 L 20 50 R 30 60 L 30 70 R
2
18 15 L 18 30 R
6
1 2 L 1 3 R 2 -1 N 2 4 R 3 5 L 3 6 R
Output:
Yes
Yes
No
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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