Solution: Find the K-Sum of an Array

Explore a method to find the kth largest subsequence sum in an integer array. This lesson teaches you to transform the problem using sorting and a min heap to handle large input efficiently, enabling you to compute the result without enumerating all subsequences. Understand how to apply this approach to optimize time and space complexity in coding interviews.

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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 $\leq 10^3$
$-10^3 \leq$ nums[i] ...