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Grokking the Coding Interview Patterns in Python

Solution: K Maximum Sum Combinations From Two Arrays

Explore how to identify the k largest sum combinations from two integer arrays by using the top k elements pattern with heaps. Understand sorting, heap operations, and index tracking to extract combinations efficiently without computing all pair sums, and learn the method's time and space complexity.

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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 0≤i,j<n0 ≤ i, j < n.

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

Constraints:

  • 1≤n≤10001 ≤ n ≤ 1000

  • 1≤1\leq arr1[i], arr2[i] ≤103\leq 10^3

  • 1 ...