Words With Many Vowels

Write a function more_than_two_unique_vowels(sentence) that takes a string of words separated by commas and returns the set of words that contain more than two distinct vowels. Vowels are a, e, i, o, u (lowercase).

Repeated vowels count only once: banana has just one distinct vowel.

Example

more_than_two_unique_vowels('education,cat,sequoia,dog')
->  {'education', 'sequoia'}

Your task

Implement this function:

def more_than_two_unique_vowels(sentence: str) -> set:

Write the function only — the arguments are read for you and the return value is printed automatically.

Arguments arrive as one Python literal per line, in this order: sentence.

Example

Input

'education,cat,sequoia,dog'

Output

{'education', 'sequoia'}