A string is considered beautiful if it satisfies the following conditions:

- Each of the 5 English vowels (`'a'`, `'e'`, `'i'`, `'o'`, `'u'`) must appear at least once in it.
- The letters must be sorted in alphabetical order (i.e. all `'a'`s before `'e'`s, all `'e'`s before `'i'`s, etc.).

For example, strings `"aeiou"` and `"aaaaaaeiiiioou"` are considered beautiful, but `"uaeio"`, `"aeoiu"`, and `"aaaeeeooo"` are not beautiful.

Given a string `word` consisting of English vowels, return the length of the longest beautiful substring of `word`. If no such substring exists, return `0`.

A substring is a contiguous sequence of characters in a string.

Example 1:

    Input: word = "aeiaaioaaaaeiiiiouuuooaauuaeiu"
    Output: 13
    Explanation: The longest beautiful substring in word is "aaaaeiiiiouuu" of length 13.

Example 2:

    Input: word = "aeeeiiiioooauuuaeiou"
    Output: 5
    Explanation: The longest beautiful substring in word is "aeiou" of length 5.

Example 3:

    Input: word = "a"
    Output: 0
    Explanation: There is no beautiful substring, so return 0.

Constraints:

- `1 <= word.length <= 5 * 105`
- `word` consists of characters `'a'`, `'e'`, `'i'`, `'o'`, and `'u'`.