A festival issues entry wristbands whose code is a single string made only of English letters (uppercase or lowercase), always with an even number of characters. Split a wristband's code exactly down the middle into a first half and a second half of equal length. Count how many vowel letters — 'a', 'e', 'i', 'o', 'u', in either uppercase or lowercase — appear in each half. A wristband qualifies for the VIP raffle when both halves contain exactly the same number of vowels. Given one wristband code, determine whether it qualifies.

Input format

A single line containing the wristband code s, a string of letters only.

Output format

Print true if the two halves contain the same number of vowels, or false otherwise.

Constraints

• 2 <= length of s <= 1000
• length of s is even
• s consists only of uppercase and lowercase English letters

Twilight

true

Umbrella

false