Solving LeetCode 41 – First Missing Positive in O(n) time and O(1) space

🚀 Day 82 of #100DaysOfCode Today, I solved LeetCode 41 – First Missing Positive, a classic hard problem that tests in-place array manipulation and optimization. 💡 Problem Overview: Given an unsorted array, the goal is to find the smallest missing positive integer in O(n) time and O(1) space. 🧠 Approach: ✔️ Used index-based placement (cyclic sort idea) ✔️ Placed each number x at index x - 1 whenever possible ✔️ Ignored negative numbers and values out of range ✔️ Finally, scanned the array to find the first index where the value is incorrect This ensures optimal time and space complexity without using extra data structures. ⚡ Key Takeaways: In-place manipulation can eliminate the need for extra space Index mapping is a powerful trick for array problems Hard problems often rely on simple but clever observations 📊 Complexity Analysis: Time Complexity: O(n) Space Complexity: O(1) Solving challenging problems and strengthening core fundamentals 🚀 #LeetCode #100DaysOfCode #DSA #Arrays #ProblemSolving #CodingJourney #SoftwareDevelopment #InterviewPrep #HardProblems

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