Determine If String Halves Are Alike

easy
You are given a string s of even length. Split this string into two halves of equal lengths, and let a be the first half and b be the second half.

Two strings are alike if they have the same number of vowels ('a', 'e', 'i', 'o', 'u', 'A', 'E', 'I', 'O', 'U'). Notice that s contains uppercase and lowercase letters.

Return true if a and b are alike. Otherwise, return false.

Input Format

Input and output are managed for you. Just complete the function.

Output Format

Input and output are managed for you. Just complete the function.

Constraints

2 <= s.length <= 1000
s.length is even.
s consists of uppercase and lowercase letters.

Notice

NA

Example

Input
book
Output
true
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