Given a string s, you would like to calculate the number of substrings that have an odd number of vowels (a, e, i, o, u, and y).
Definition of a substring
Any contiguous sequence of characters in the string s is considered a substring of s. For instance, the string abc has substrings a, b, c, ab, bc, abc.
Input
The input contains a single string s (1 β€ |s| β€ 100) of lowercase Latin letters.
Output
The program should print the number of substrings that have an odd number of vowels.