LeetCode-in-Java

1641. Count Sorted Vowel Strings

Medium

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:

Input: n = 1

Output: 5

Explanation: The 5 sorted strings that consist of vowels only are ["a","e","i","o","u"].

Example 2:

Input: n = 2

Output: 15

Explanation: 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”].

Note that “ea” is not a valid string since ‘e’ comes after ‘a’ in the alphabet.

Example 3:

Input: n = 33

Output: 66045

Constraints:

Solution

import java.util.Arrays;

public class Solution {
    public int countVowelStrings(int n) {
        if (n == 1) {
            return 5;
        }
        int[] arr = new int[] {1, 1, 1, 1, 1};
        int sum = 5;
        for (int i = 2; i <= n; i++) {
            int[] copy = new int[5];
            for (int j = 0; j < arr.length; j++) {
                if (j == 0) {
                    copy[j] = sum;
                } else {
                    copy[j] = copy[j - 1] - arr[j - 1];
                }
            }
            arr = Arrays.copyOf(copy, 5);
            sum = 0;
            for (int k : arr) {
                sum += k;
            }
        }
        return sum;
    }
}