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Kth Smallest Product of Two Sorted Arrays

Explore how to determine the kth smallest product formed by pairs of elements from two sorted arrays. Understand how to apply advanced binary search techniques to handle arrays with negative and positive values, and implement a solution within performance constraints.

Statement

You are given two sorted 00-indexed integer arrays nums1 and nums2, along with an integer k.

Consider all possible products formed by nums1[i] * nums2[j], where i ranges over all valid indices of nums1 and j ranges over all valid indices of nums2. Return the kthk^{th} ...