Kth Smallest Product of Two Sorted Arrays | Detailed Explanation | Leetcode 2040 | codestorywithMIK

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Published on June 25, 2025 12:18:58 PM ● Video Link: https://www.youtube.com/watch?v=pjY5KaxYVIE

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Hi Everyone, this is the 42nd video of our Playlist "Binary Search : Popular Interview Problems".
Now we will be solving a very good Binary Search problem - Kth Smallest Product of Two Sorted Arrays | Detailed Explanation | Leetcode 2040 | codestorywithMIK

I will explain it in full detail so that it becomes easy to understand. We will find the reason behind everything so that we understand why we did what we did.

Problem Name : Kth Smallest Product of Two Sorted Arrays | Detailed Explanation | Leetcode 2040 | codestorywithMIK
Company Tags : will update later
Code Github(C++ & JAVA) - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Arrays/Binary Search/Kth Smallest Product of Two Sorted Arrays.cpp
Leetcode Link : https://leetcode.com/problems/kth-smallest-product-of-two-sorted-arrays


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Video Summary :
The goal is to find the k-th smallest product formed by pairing elements from two arrays. Since directly generating all products is inefficient, we use binary search on the value of the product itself. For each guessed product (midProduct),
we count how many pairs have a product ≤ midProduct using binary search inside a helper function. Based on this count, we adjust our search range to converge on the exact k-th smallest product.
The key insight is to treat the problem as "searching by value," not by index or pair generation.

✨ Timelines✨
00:00 - Introduction
0:16 - Motivation
0:46 - Problem Explanation
1:33 - Brute Force TLE
4:51 - Optimal Approach Thought Process
30:25 - Why Binary Search on Answer
33:30 - One more Dry Run
43:38 - Corner Case
47:00 - Coding it up
58:29 - Time & Space


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