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Count Vowels Permutation

Given an integer n, your task is to count how many strings of length n can be formed under the following rules: Since the answer may be too large, return it modulo 10^9 + 7.

Given an integer n, your task is to count how many strings of length n can be formed under the following rules:

Since the answer may be too large, return it modulo 10^9 + 7.

Example 1

Input: n = 1

Output: 5

Explanation: All possible strings are: "a", "e", "i" , "o" and "u".

Example 2

Input: n = 2

Output: 10

Explanation: All possible strings are: "ae", "ea", "ei", "ia", "ie", "io", "iu", "oi", "ou" and "ua".

Example 3

Input: n = 5

Output: 68

Constraints

  • 1 <= n <= 2 * 10^4

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