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Solution: Kth Smallest Product of Two Sorted Arrays

Explore a solution for finding the kth smallest product of pairs from two sorted arrays using a modified binary search. Learn to count products less than a given value efficiently and handle positive, negative, and zero values. This lesson equips you with a clear approach to tackle large input sizes and optimize the search in coding interviews.

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} smallest product among all such pairs, using 11-based indexing.

Note: Both nums1 and nums2 are sorted in non-decreasing order. The arrays may contain negative numbers and zero, so the products can be negative, zero, or positive.

Constraints:

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