Search⌘ K
AI Features

Solution: Kth Smallest Product of Two Sorted Arrays

Explore how to determine the kth smallest product from the pairwise multiplication of two sorted arrays. Learn to apply a modified binary search on the answer range, leveraging the sorted nature of arrays and handling negative values, zeros, and positives efficiently. Understand the method's time and space complexity to solve this problem optimally.

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:

  • ...