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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 integer arrays using an optimized approach based on the K-way merge pattern. Understand how to implement a min heap to efficiently track pairs and avoid generating all combinations, reducing time complexity while ensuring accurate results.

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 ...