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Find the K-Sum of an Array

Explore how to determine the kth largest sum of subsequences in an array. Understand the top K elements pattern and apply efficient techniques to handle subsequence sums, including duplicates, using heaps and logical problem structuring.

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Statement

You are given an integer array, nums, and a positive integer k. Your task is to determine and return the kthk^{th} largest possible sum among all subsequences of the array. A subsequence is formed by deleting no or more elements from the array without changing the order of the remaining elements. The sum of a subsequence is the total of its elements.

Remember: For valid subsequences:

  • The empty subsequence is valid, and its sum is considered 00.

  • Duplicate subsequence sums are ...