Solved LeetCode POTD 1611 with Mazhar Imam Khan's insight

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View profile for Vikas Gulia

Software Developer | BCA at IITM Janakpuri | Competitive Programming Winner | Nexverse IITM

🚀 LeetCode POTD — 1611. Minimum One Bit Operations to Make Integers Zero 🎯 Difficulty: Hard | Topics: Bit Manipulation, Recursion, Mathematical Patterns 🔗 Solution Link: https://lnkd.in/g4RHfa8h Today’s #LeetCode Problem of the Day was one of those that really make you stop and think. The problem looked simple on the surface — transform a number into 0 using a defined set of bit operations — but understanding how the bits interact recursively was the real challenge. At first, I tried approaching it directly by simulating the operations… but quickly realized that wasn’t scalable. I took a hint, tried to reason it out again, but still couldn’t fully connect the dots. Then I watched Mazhar Imam Khan’s explanation — and everything finally clicked! 🎯 The key insight was understanding that for a number like 1100, you can derive its result by simply calculating: 👉 f(1100) = f(1000) - f(100) That single conceptual shift completely changed how I looked at the problem. 💡 Core Idea: Build an array (holder) representing the number of operations required for each bit position. Traverse from the most significant bit downward. If the current bit is set, adjust the result using a sign-flip mechanism to handle transitions between set bits. 🧠 Key Learnings: Many bit-manipulation problems are built on mathematical symmetry, not just logical operations. Understanding the pattern behind Gray Code transformations helps reveal the structure. Sometimes, one line of conceptual clarity from a great teacher saves hours of debugging. 🕒 Complexity: Time: O(size of binary transformation ) Space: O(size of binary transformation + 1) 💬 Takeaway: Don’t hesitate to seek clarity when stuck — a well-explained insight can bridge the gap between confusion and understanding. #LeetCode #ProblemOfTheDay #BitManipulation #HardProblem #DSA #C++ #CodingJourney #Consistency #ProblemSolving #LearningInPublic #100DaysOfCode #SoftwareEngineering #TechCommunity

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