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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:**

![example 1](https://assets.leetcode.com/uploads/2021/08/30/longest-subsequence-repeat-k-times.png)

**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.