Smallest Subarrays With Maximum Bitwise OR | Detailed Explanation | Leetcode 2411 | codestorywithMIK

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Published on July 29, 2025 6:18:13 AM ● Video Link: https://www.youtube.com/watch?v=7ZOmJlTI2Z0

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Hi Everyone, this is the 27th video of our Playlist "Bit Manipulation : Popular Interview Problems".
Now we will be solving a good bit concept related problem - Smallest Subarrays With Maximum Bitwise OR | Detailed Explanation | Leetcode 2411 | codestorywithMIK

I will explain it in full detail so that it becomes easy to understand. Each line will be explained and you will know the WHY behind everything.

Problem Name : Smallest Subarrays With Maximum Bitwise OR | Detailed Explanation | Leetcode 2411 | codestorywithMIK
Company Tags : will update later
Code Github(C++ & JAVA) - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Bit_Magic/Smallest Subarrays With Maximum Bitwise OR.cpp
Leetcode Link - https://leetcode.com/problems/smallest-subarrays-with-maximum-bitwise-or/description/


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Video Summary :
The key idea is to compute, for each index, how far we need to go right to include all bits that could contribute to the maximum OR. We track the most recent index where each bit (0 to 30) was last seen set using setIndex. While iterating backward, we update the farthest point (j) we must include to ensure all significant bits are captured. The result at each index is simply the length from i to j. This way, we efficiently find the minimal subarray that gives the max OR at each position.


✨ Timelines✨
00:00 - Introduction
0:16 - Motivation
0:41 - Problem Explanation
4:30 - Thought Process
7:47 - Why do we need to see 32-bit representation ?
21:15 - Core Observation
23:22 - Why iterate from right to left ?
28:42 - Complete Dry Run
40:15 - Coding it up
43:27 - Time & Space Complexity


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