Chef and Catchphrase

Chef was working and was amused by a customer’s catchphrase and decided that he should have one of his own too. Since he’s a minimalist, he has decided that the phrase will contain only lowercase Latin letters and he wants the phrase to be _lite_. Chef considers a string $S$ of length $N$ to be _lite_ if the number of consonants is not less than the number of vowels for all the substrings that st