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Solution: Find K Pairs with Smallest Sums

Explore how to efficiently find the k pairs with the smallest sums from two sorted arrays using the k-way merge pattern. This lesson teaches you to implement a min heap solution that avoids generating all pairs, reducing time complexity significantly. Understand each step of the algorithm, including heap operations and complexity analysis, to apply this pattern in coding interviews confidently.

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 ...