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Grokking the Coding Interview Patterns in Go

Solution: Find the K-Sum of an Array

Explore how to compute the kth largest subsequence sum of an integer array by transforming the problem into finding the smallest losses. Understand how to leverage sorting and a min heap to efficiently identify the correct sum without enumerating all subsequences. This lesson teaches you an optimized approach suitable for large inputs, focusing on time and space complexity tradeoffs.

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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 ...