1641. Count Sorted Vowel Strings | LeetCode Solution


 1641. Count Sorted Vowel Strings | LeetCode Solution


Given an integer n, return the number of strings of length n that consist only of vowels (aeiou) and are lexicographically sorted.

A string s is lexicographically sorted if for all valid is[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:

  • 1 <= n <= 50 
class Solution {
public:
    int countVowelStrings(int n) {
        vector<int>dp(5,1);
        int ans=0;
        while(--n){
            for(int i=3; i>=0; i--){
                dp[i]+=dp[i+1];
            }
        }
        for(auto x:dp)ans+=x;
        return ans;
    }
};

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