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Grokking the Coding Interview Patterns in Python

Solution: Find the K-Sum of an Array

Explore how to find the kth largest subsequence sum in an array by transforming the problem into finding the smallest losses using heaps. Understand sorting and heap operations to efficiently solve this problem, improving your coding interview skills for array and selection pattern questions.

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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 ...