Solution: Find the K-Sum of an Array

Explore how to find the kth largest subsequence sum from an integer array by transforming the problem into finding the smallest losses. Understand the use of sorting and a min heap to efficiently generate these losses, enabling you to solve the problem without brute-force. This lesson teaches an approach that balances time and space complexity effectively while handling large input sizes.

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Statement
Solution
- Time complexity
- Space complexity

Statement

You are given an integer array, nums, and a positive integer k. Your task is to determine and return the $k^{th}$ 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 $0$ .
Duplicate subsequence sums are allowed and counted separately when determining the $k^{th}$ largest.

Constraints:

$n ==$ nums.length
$1 \leq$ n ...