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Grokking the Coding Interview Patterns in Go

Solution: Find the K-Sum of an Array

Explore efficient methods to find the kth largest sum of subsequences within an array. This lesson guides you through transforming the problem, using heaps, sorting, and strategic calculations to achieve optimal time and space complexity. Understand core concepts to handle similar coding interview challenges with confidence.

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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 ...