LeetCode Hard Challenge: Smallest Missing Positive Integer

🚀 Day 10/100 – First Missing Positive | LeetCode (Hard) Double digits in my #100DaysOfChallenges journey! Today’s challenge was a classic interview problem that tests array manipulation + in-place hashing logic. 🧩 Problem: Given an unsorted integer array, return the smallest missing positive integer. Constraints: Must run in O(n) time Use O(1) extra space 🧠 Approach Used: Cyclic Sort (Index Placement Technique) Instead of using extra space like HashSet, I used an in-place strategy: ✔️ Place each number x at index x - 1 ✔️ Ignore negative numbers and numbers > n ✔️ Swap until every valid number is in its correct position ✔️ Scan the array to find the first index where nums[i] != i + 1 Core Idea: If 1 is at index 0, 2 at index 1, etc., The first mismatch gives the missing positive. 💡 Why This Is Smart: It uses the array itself as a hash structure No extra memory required Maintains linear time complexity ⏱ Complexity: Time: O(n) Space: O(1) 🎯 Key Learning: In-place hashing is powerful Hard problems often combine simple ideas cleverly Edge cases (negatives, duplicates, large values) matter a lot This problem strengthened my: 👉 Index mapping intuition 👉 Optimization mindset 👉 Confidence in solving Hard-level problems 90 days to go 🚀 #100DaysOfCode #LeetCode #DSA #Arrays #CyclicSort #Java #ProblemSolving #TechGrowth #AIML

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