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Solution: Find Subsequence of Length K with the Largest Sum

Understand how to extract a subsequence of length k with the largest sum from an integer array by using a min heap. Learn to preserve element order and analyze the time and space complexity of this approach, preparing you to solve similar top-k element problems efficiently.

Statement

You are given an integer array nums and an integer k. Your task is to find a subsequenceA subsequence is an array derived from another array by deleting some or no elements while preserving the order of the remaining elements. of nums of length k that has the largest possible sum.

Constraints:

  • 11 \leq nums.length 1000\leq 1000

  • 105-10^5 \leq nums[i] ...