longest-subsequence-repeated-k-times

longest-subsequence-repeated-k-times


You are given a string s of length n, and an integer k. You are tasked to find the longest subsequence repeated k times in string s.



A subsequence is a string that can be derived from another string by deleting some or no characters without changing the order of the remaining characters.



A subsequence seq is repeated k times in the string s if seq * k is a subsequence of s, where seq * k represents a string constructed by concatenating seq k times.




  • For example, "bba" is repeated 2 times in the string "bababcba", because the string "bbabba", constructed by concatenating "bba" 2 times, is a subsequence of the string "bababcba".



Return the longest subsequence repeated k times in string s. If multiple such subsequences are found, return the lexicographically largest one. If there is no such subsequence, return an empty string.



 


Example 1:



Input: s = "letsleetcode", k = 2
Output: "let"
Explanation: There are two longest subsequences repeated 2 times: "let" and "ete".
"let" is the lexicographically largest one.


Example 2:



Input: s = "bb", k = 2
Output: "b"
Explanation: The longest subsequence repeated 2 times is "b".


Example 3:



Input: s = "ab", k = 2
Output: ""
Explanation: There is no subsequence repeated 2 times. Empty string is returned.


 


Constraints:




  • n == s.length

  • 2 <= n, k <= 2000

  • 2 <= n < k * 8

  • s consists of lowercase English letters.


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