B"When Sasha was studying in the seventh grade, he started listening to music a lot. In order to evaluate which songs he likes more, he introduced the notion of the song's prettiness. The title of the song is a word consisting of uppercase Latin letters. The prettiness of the song is the prettiness of its title. Let's define the simple prettiness of a word as the ratio of the number of vowels in the word to the number of all letters in the word. Let's define the prettiness of a word as the sum of simple prettiness of all the substrings of the word. More formally, let's define the function vowel(c) which is equal to 1, if c is a vowel, and to 0 otherwise. Let si be the i-th character of string s, and si..j be the substring of word s, staring at the i-th character and ending at the j-th character (sisi xe2 x80 x89+ xe2 x80 x891... sj, i xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89j). Then the simple prettiness of s is defined by the formula: The prettiness of s equals Find the prettiness of the given song title. We assume that the vowels are I, xe2 x80 x89E, xe2 x80 x89A, xe2 x80 x89O, xe2 x80 x89U, xe2 x80 x89Y. The input contains a single string s (1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89|s| xe2 x80 x89 xe2 x89 xa4 xe2 x80 x895 xc2 xb7105) -- the title of the song. Print the prettiness of the song with the absolute or relative error of at most 10 xe2 x80 x89- xe2 x80 x896. In the first sample all letters are vowels. The simple prettiness of each substring is 1. The word of length 7 has 28 substrings. So, the prettiness of the song equals to 28."...