LeetCode Daily Challenge: Find Unique Binary String with Diagonal Trick

🚀 LeetCode Daily Challenge Today’s problem was Find Unique Binary String. Problem: We are given n unique binary strings of length n. The task is to return any binary string of length n that does not exist in the given array. At first glance, brute force might come to mind: Generate all 2^n binary strings and check which one is missing. But that’s inefficient. 💡 Better Idea – Diagonal Trick (Inspired by Cantor’s Diagonal Argument) Instead of checking all possibilities, we construct a new string by flipping the i-th bit of the i-th string. The new string will differ from every string in the array at least at one position. Therefore, it cannot match any existing string. ⚡ Time Complexity: O(n) ⚡Space Complexity: O(n) 🔍 Key Insight: By flipping the diagonal bits, we guarantee the generated binary string is different from every given string. Problems like this remind me that a simple mathematical idea can lead to a really elegant algorithm. #LeetCode #DailyCodingChallenge #Java #Algorithms #DataStructures #ProblemSolving #CodingInterview

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