Efficient Sliding Window Maximum with Monotonic Deque

Day 44 :-𝗘𝗳𝗳𝗶𝗰𝗶𝗲𝗻𝗰𝘆 𝗶𝗻 𝗠𝗼𝘁𝗶𝗼𝗻: 𝗦𝗹𝗶𝗱𝗶𝗻𝗴 𝗪𝗶𝗻𝗱𝗼𝘄 𝗠𝗮𝘅𝗶𝗺𝘂𝗺 ⚡ Today’s DSA session was all about thinking beyond brute force. I worked on the Sliding Window Maximum problem on LeetCode — a classic that initially pushes you toward an O(n * k) approach, but rewards you heavily when you discover the right pattern. By applying the Monotonic Deque technique, I transformed the solution into an efficient linear-time algorithm. 🔹 𝗧𝗵𝗲 𝗧𝗲𝗰𝗵𝗻𝗶𝗰𝗮𝗹 𝗛𝗶𝗴𝗵𝗹𝗶𝗴𝗵𝘁𝘀 🔸 Monotonic Deque Strategy Instead of recalculating the maximum for every window, I maintained a deque of indices in decreasing order of their values. 👉 This ensures the maximum element is always at the front. 🔸 Smart Pruning • Out-of-Window Removal: Indices that fall outside the current window are removed from the front. • Maintaining Order: Before inserting a new element, all smaller elements at the back are removed. 👉 Because they can never become the maximum in future windows. 🔸 Constant-Time Maximum Access With this structure, the maximum of each window is always available at peekFirst() → O(1) access. 🔹 𝗘𝗳𝗳𝗶𝗰𝗶𝗲𝗻𝗰𝘆 ⚡ • Time Complexity → O(n) • Space Complexity → O(k) Each element is processed at most twice (added + removed), making the solution clean and optimal. 🔹 𝗞𝗲𝘆 𝗧𝗮𝗸𝗲𝗮𝘄𝗮𝘆 💡 👉 Optimization isn’t about doing more work faster — it’s about avoiding unnecessary work entirely. 👉 Choosing the right data structure (Deque here) can completely change the game. 🙏 Huge thanks to my mentors Anchal Sharma and Ikshit .. for their constant guidance and support. Their insights are helping me focus on patterns over brute force and stay consistent on this journey. #DSA #Java #100DaysOfCode #SlidingWindow #Deque #MonotonicQueue #ProblemSolving #Mentorship #LeetCode #SoftwareEngineering #CodingJourney 🚀

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