Max Consecutive Ones III with Sliding Window

Day 12 of #100DaysOfCode — Sliding Window Today, I worked on the problem “Max Consecutive Ones III” LeetCode. Problem Summary Given a binary array, the goal is to find the maximum number of consecutive 1s if you can flip at most k zeros. Approach At first glance, this problem looks like a brute-force or restart-based problem, but the optimal solution lies in the Sliding Window technique. The key idea is to maintain a window [i, j] such that: The number of zeros in the window does not exceed k Expand the window by moving j Shrink the window by moving i whenever the constraint is violated Instead of restarting the window when the condition breaks, we dynamically adjust it. Key Logic Traverse the array using pointer j Count the number of zeros in the current window If zeros exceed k, move pointer i forward until the window becomes valid again At every step, update the maximum window size Why This Works This approach ensures: Each element is processed at most twice Time Complexity: O(n) Space Complexity: O(1) The most important learning here is understanding how to dynamically adjust the window instead of resetting it, which is a common mistake while applying sliding window techniques. In sliding window problems, always focus on expanding and shrinking the window efficiently rather than restarting the computation. #100DaysOfCode #DSA #SlidingWindow #LeetCode #Java #ProblemSolving #CodingJourney #DataStructures #Algorithms

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