Count vowels

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 ≤ |s| ≤ 100) of lowercase Latin letters.

Output

The program should print the number of substrings that have an odd number of vowels.

Examples

Input

Output

abc

3

hello

9

xyz

4

Explanation

  1. abc → a, ab, abc

  2. hello → he, hel, hell, e, el, ell, llo, lo, o

  3. xyz → xy, xyz, y, yz

Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB

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