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Solution: K Maximum Sum Combinations From Two Arrays

Explore how to efficiently compute the k largest sum combinations formed by adding elements from two integer arrays. Learn to apply heaps and sorting to extract top sums without exhaustive pairing, while managing duplicates and ensuring optimal time and space complexity. This lesson will help you master the top K elements pattern for 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

  • ...