Search⌘ K
AI Features

Solution: Kth Smallest Product of Two Sorted Arrays

Discover how to efficiently find the kth smallest product of two sorted integer arrays by applying a modified binary search on the answer space. Understand handling positive, negative, and zero values and learn how to count valid products within constraints to solve the problem with optimal time and space complexity.

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:

  • ...