Count Sorted Vowel Strings

Given an integer n, return the number of strings of length n that consist only of vowels (a, e, i, o, u) and are lexicographically sorted.

A string s is lexicographically sorted if for all valid i, s[i] is the same as or comes before s[i+1] in the alphabet.

Example 1
Inputn = 1
Output5
The 5 sorted strings that consist of vowels only are ["a", "e", "i", "o", "u"].
Example 2
Inputn = 2
Output15
The 15 sorted strings that consist of vowels only are ["aa", "ae", "ai", "ao", "au", "ee", "ei", "eo", "eu", "ii", "io", "iu", "oo", "ou", "uu"]; "ea" is not valid because e comes after a in the alphabet.

Constraints

  • 1 <= n <= 50

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