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Grokking the Coding Interview Patterns in C#

Solution: Find the K-Sum of an Array

Explore how to compute the kth largest sum of all subsequences in an integer array efficiently by using sorting, absolute values, and a min heap. Understand how to transform the problem, optimize with heap operations, and apply this pattern to solve complex array sum challenges in coding interviews.

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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 ...