You are given an even length string containing only loowercase alphabets. You need to count the number of rotations(strings with different combination of the letters) of the given string that contains more vowels in the first half than in the second half.
Input Format
First line T denoting the number of test cases For the next T lines
First line: An even integer N denoting the length of the string S
Constraints
1<=T<=10 2<=N<=100000
Output Format
For test case 1:
All rotations of the strings are abcd, dabc, cdab,bcda.
Rotation 1 and 2 contains more vowels in the first half than second. So Answer is 2.