Unique Binary String Challenge Solution

🚀 DSA Daily Challenge — Day 56 Problem: Find Unique Binary String Given an array nums containing n unique binary strings, each of length n, return any binary string of length n that does not appear in the array. 💡 Solution 1: Diagonal Trick (Optimal) This clever approach comes from Cantor’s diagonal argument. Idea: Construct a new string by looking at the i-th character of the i-th string. Flip the bit (0 → 1, 1 → 0). The new string will differ from every string in nums at least at one position, guaranteeing it’s unique. ⏱ Time Complexity: O(n) 📦 Space Complexity: O(n) 💡 Solution 2: HashSet + Binary Conversion Another approach is: Convert all binary strings to integers and store them in a HashSet. Iterate through possible numbers and find one that is not present in the set. Convert it back to binary and pad with leading zeros if needed. ⏱ Time Complexity: O(n²) 📦 Space Complexity: O(n) The Diagonal Trick is the most efficient and elegant solution. #DSA #LeetCode #Java #ProblemSolving #CodingJourney #100DaysOfCode

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