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Kth Smallest Product of Two Sorted Arrays

Explore how to efficiently find the kth smallest product formed by pairs from two sorted arrays, including negative and positive values. Understand problem constraints and implement solutions using modified binary search techniques to solve complex product selection problems.

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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} ...