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Solution: K Maximum Sum Combinations From Two Arrays

Explore how to identify the k largest sum combinations formed by adding elements from two integer arrays. This lesson teaches the use of sorting, max heaps, and careful index tracking to efficiently compute these sums without generating all combinations. By understanding and applying this pattern, you will enhance your ability to solve similar top k elements problems often encountered in coding interviews.

Statement

You are given two integer arrays, arr1 and arr2, each of size nn. You are also given an integer k. Your task is to return the k largest sum combinations that can be formed by adding one element from arr1 and one element from arr2, for all possible pairs (arr1[i] + arr2[j]), where 0i,j<n0 ≤ i, j < n.

Note: The output should be sorted in non-increasing order.

Constraints:

  • 1n10001 ≤ n ≤ 1000

  • 11\leq arr1[i], arr2[i] 103\leq 10^3

  • ...