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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 possible sum among all subsequences of an array by applying the top K elements pattern. Learn to use sorting and a min heap to track losses efficiently, avoiding brute-force methods. This lesson helps you understand and implement a solution with time complexity O(n log n + k log k) and prepares you to tackle similar coding interview 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 ...