The k-th Lexicographical String of All Happy Strings of Length n

A happy string is a string that:

For example, strings "abc", "ac", "b" and "abcbabcbcb" are all happy strings and strings "aa", "baa" and "ababbc" are not happy strings.

Given two integers n and k, consider a list of all happy strings of length n sorted in lexicographical order.

Return the kth string of this list or return an empty string if there are less than k happy strings of length n.

 

Example 1:

Input: n = 1, k = 3
Output: "c"
Explanation: The list ["a", "b", "c"] contains all happy strings of length 1. The third string is "c".

Example 2:

Input: n = 1, k = 4
Output: ""
Explanation: There are only 3 happy strings of length 1.

Example 3:

Input: n = 3, k = 9
Output: "cab"
Explanation: There are 12 different happy string of length 3 ["aba", "abc", "aca", "acb", "bab", "bac", "bca", "bcb", "cab", "cac", "cba", "cbc"]. You will find the 9th string = "cab"

Example 4:

Input: n = 2, k = 7
Output: ""

Example 5:

Input: n = 10, k = 100
Output: "abacbabacb"

 

Constraints:


Solution:

class Solution {
    public String getHappyString(int n, int k) {
        Deque<String> queue = new ArrayDeque();
        queue.offer("");
        int count = 0;
        while (!queue.isEmpty()) {
            String curr = queue.poll();
            if (curr.length() == n) {
                count ++;
                if (count == k) return curr;
            }
            if (curr.length() > n) {
                return "";
            }
            char last = curr.length() > 0 ? curr.charAt(curr.length() - 1) : '#';
            if (last != 'a') {
                queue.offer(curr + "a");
            }
            if (last != 'b') {
                queue.offer(curr + "b");
            }
            if (last != 'c') {
                queue.offer(curr + "c");
            }
        }
        return "";
    }
}