The Vowel Matrix

Welcome to The Mega City! Neo finds himself in a high-stakes situation. He has a string $S$ of length $N$ and his task is to crack the string using the *vowel matrix*. The vowel matrix is a unique cryptographic scheme where the string is sliced into multiple pieces, such that, each piece contains **exactly** $K$ vowels. Determine the number of ways you can slice the string $S$ using *vowel