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Grokking the Coding Interview Patterns in C#

Solution: Find Subsequence of Length K with the Largest Sum

Explore how to find a subsequence of length k with the largest possible sum from an integer array. Learn to use a min heap to track the top k elements while preserving the subsequence's original order. Understand the algorithm's time and space complexity and implement a solution that balances efficiency and correctness.

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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:

  • 1≤1 \leq nums.length ≤1000\leq 1000

  • −105≤-10^5 \leq nums[i] ...