LeetCode Sliding Window Maximum Challenge

🔥 Day 85 of #100DaysOfCode Today’s challenge: LeetCode: Sliding Window Maximum 🪟📈 📌 Problem Summary Given an integer array nums and a window size k, return the maximum value in each sliding window of size k. Example: nums = [1,3,-1,-3,5,3,6,7], k = 3 Output → [3,3,5,5,6,7] 🧠 Approach: Monotonic Deque (Optimal Solution) Instead of recalculating the max for every window (which would be slow), we maintain a deque that stores indices in decreasing order of values. ⚙️ Key Steps: Remove elements from the back of deque → if they are smaller than the current element (because they’ll never be maximum again). Add current index to the deque. Remove front index → if it is outside the current window. The front of deque always contains ✅ the maximum element of the window. 🚀 Why This Works The deque always maintains elements in decreasing order, so the largest element is always at the front. ⏱ Time Complexity: O(n) Each element is added and removed at most once. 💾 Space Complexity: O(k) ⚡ Performance Runtime: 30 ms Better than ~70% submissions. 💡 What I Learned When you need max/min in a sliding window → think Monotonic Queue. Removing useless elements early keeps solution efficient. Advanced data structure knowledge gives huge performance gains. Two Pointers → Sliding Window → Monotonic Queue The progression is real. 🔥 On to Day 86 🚀 #100DaysOfCode #LeetCode #SlidingWindow #Deque #Java #DSA #InterviewPrep

  • graphical user interface, text

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