Scrambled Scrabble

You are playing a word game using a standard set of $26$ uppercase English letters: A-Z. In this game, you can form vowels and consonants as follows.

• The letters A, E, I, O, and U can only form a vowel.
• The letter Y can form either a vowel or a consonant.
• Each of the remaining letters other than A, E, I, O, U, and Y can only form a consonant.
• The string NG can form a single consonant when concatenated together.

Denote a syllable as a concatenation of a consonant, a vowel, and a consonant in that order. A word is a concatenation of one or more syllables.

You are given a string $S$ and you want to create a word from it. You are allowed to delete zero or more letters from $S$ and rearrange the remaining letters to form the word. Find the length of the longest word that can be created, or determine if no words can be created.

A single line consisting of a string $S$ ($1 ≤ |S| ≤ 5000$). The string $S$ consists of only uppercase English letters.

If a word cannot be created, output $0$. Otherwise, output a single integer representing the length of longest word that can be created.