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Grokking the Coding Interview Patterns in Python

Solution: Find Subsequence of Length K with the Largest Sum

Explore how to identify a subsequence of length k with the largest sum in an array by using a min heap to track the top elements and preserve their original order. Understand the algorithm's logic, including heap operations and sorting for sequence order, along with its time and space complexity.

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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] ...