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Solution: K Maximum Sum Combinations From Two Arrays

Explore how to identify the top k maximum sum combinations formed by pairs from two arrays. Learn to apply sorting and max heap data structures to efficiently compute and extract these sums without generating all pairs, optimizing both time and space complexity for scalable solutions.

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 ...