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Solution: Find K Pairs with Smallest Sums

Explore how to find the k pairs with the smallest sums from two sorted arrays by using a k-way merge algorithm and a min heap. Understand both naive and optimized solutions, evaluate time and space complexities, and learn how to efficiently generate pairs without exhaustive combinations.

Statement

You are given two integer arrays, list1 and list2, sorted in non-decreasing order, and an integer, k.

A pair (u, v)(u, \space v) is defined as one element uu chosen from list1 and one element vv chosen from list2.

Your task is to return the k pairs (u1, v1),(u2, v2),...,(uk, vk)(u1, \space v1), (u2, \space v2), ..., (uk, \space vk) whose sums u1+v1,u2+v2,...,uk+vku1 + v1, u2 + v2, ..., uk + vk ...