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Grokking the Coding Interview Patterns in C++

Solution: Find the K-Sum of an Array

Explore how to determine the kth largest subsequence sum in an array by reframing the problem to find the smallest losses from the maximum sum. Learn to use sorting and min heaps effectively to handle large arrays without generating all subsequences, gaining skills in optimizing time and space complexities for interview coding problems.

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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 ...