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Kth Smallest Product of Two Sorted Arrays

Explore how to determine the kth smallest product formed by any pair from two sorted integer arrays, which may include negative and zero values. Understand how to apply modified binary search effectively to solve this problem in optimized time.

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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} ...