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Solution: Find Subsequence of Length K with the Largest Sum

Explore how to find a subsequence of length k in an integer array that has the largest possible sum. This lesson teaches you to use a min heap to efficiently track the largest k elements and maintain their original order, ensuring an optimal and ordered subsequence. Understand the step-by-step approach, including heap operations and sorting by original indexes, to solve this common pattern in coding interviews.

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] ...