2014 - Longest Subsequence Repeated k Times.

Hard

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 "**b**a**bab**c**ba**".

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.