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Solution: Find the K-Sum of an Array

Explore how to compute the kth largest subsequence sum of an integer array without generating all subsequences explicitly. Learn to transform the problem to finding minimal reductions from the maximum positive sum using sorting and a min heap. This lesson guides you through an optimized approach that balances complexity and memory usage to solve the problem efficiently.

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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 allowed and counted separately when determining the kthk^{th} largest.

Constraints:

  • n==n == nums.length

  • 1≤1 \leq n ...