Package g1201_1300.s1220_count_vowels_permutation

Class Solution

java.lang.Object
g1201_1300.s1220_count_vowels_permutation.Solution
public class Solution extends java.lang.Object
1220 - Count Vowels Permutation.

Hard

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

  • Each character is a lower case vowel ('a', 'e', 'i', 'o', 'u')
  • Each vowel 'a' may only be followed by an 'e'.
  • Each vowel 'e' may only be followed by an 'a' or an 'i'.
  • Each vowel 'i' may not be followed by another 'i'.
  • Each vowel 'o' may only be followed by an 'i' or a 'u'.
  • Each vowel 'u' may only be followed by an 'a'.

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

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    countVowelPermutation(int n)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • countVowelPermutation

      public int countVowelPermutation(int n)