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Longest Subsequence Repeated k Times

You are given a string s of length n, and an integer k.

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.

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.

Longest Subsequence Repeated k Times diagram

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 <= k <= 2000
  • 2 <= n < min(2001, k * 8)
  • s consists of lowercase English letters.

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