First Missing Positive Integer in Unsorted Array

LeetCode 41 – First Missing Positive. 🧩 When I first read this problem, I thought it would be messy. But once I found the pattern, it turned out to be surprisingly clean. The problem in simple terms: Find the smallest positive integer missing from an unsorted array. The real challenge: O(n) time and O(1) extra space. No sorting, no hash maps, no extra arrays. At first, that feels impossible. But here's the trick that clicked for me: The answer has to be between 1 and n+1 (where n = length of array). Why? Because in the best case, if the array contains 1,2,3,...,n, then the missing number is n+1. Otherwise, there's a gap somewhere between 1 and n. Once I realized that, the solution became straightforward: Place each number in its correct position (number x should be at index x-1) | After rearranging, scan to find the first spot where the number doesn't match the index + 1 That index + 1 is our answer What I liked about this problem: It teaches you to work within tight constraints. Instead of adding more memory, you use the array itself as your workspace. If you're preparing for coding interviews, this is one of those problems worth understanding deeply, not for memorizing the solution but for learning how to think under constraints. Have you run into a problem that looked impossible but turned out to have a simple pattern? Curious to hear your experience. #LeetCode #CodingInterview #ProblemSolving #Java #Algorithms

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