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🚀 LeetCode 1980 – Find Unique Binary String | Cantor’s Diagonal Trick Explained In this video, we solve LeetCode Problem 1980: Find Unique Binary String, a very interesting string + mathematical observation problem that appears in coding interviews. You are given an array nums containing n unique binary strings, each of length n. Your task is to return a binary string of length n that does NOT appear in the array. For example: Input: nums = ["01","10"] Output: "11" (or "00") The key observation is that we can construct a guaranteed unique binary string using Cantor’s Diagonalization Trick. Instead of checking every possible binary string (which would be exponential), we build a new string by flipping the diagonal bits of the input strings. This ensures the new string differs from every string in the array at least in one position, guaranteeing uniqueness. ⏱ Time Complexity: O(n) 📦 Space Complexity: O(n) This problem helps you understand an elegant concept used in mathematics, set theory, and algorithm design. 💻 Code & Notes Repository 🔗 All LeetCode Solutions Repository https://github.com/Gopalkushwaha1/Lee... 🔗 AlgoDiary Interview Notes + Structured Code https://github.com/Gopalkushwaha1/Alg... 🔗 Direct Problem Folder (1980) https://github.com/Gopalkushwaha1/Alg... 🔗 Direct Java Solution File https://github.com/Gopalkushwaha1/Alg... 🔗 Direct Python Solution File https://github.com/Gopalkushwaha1/Alg... 🔥 What you will learn in this video • Understanding the problem intuition • Why Brute Force (2ⁿ possibilities) is inefficient • The powerful Cantor’s Diagonalization Trick • How to build a guaranteed unique binary string • Step-by-step optimal solution explanation • Time and Space Complexity analysis • Clean and simple Java implementation 🎯 Who should watch this video? • Students preparing for coding interviews • Beginners learning Data Structures and Algorithms • Developers practicing LeetCode medium problems • Anyone who wants to learn smart mathematical tricks in algorithms 📌 If you found this video helpful, make sure to Like 👍, Comment 💬 and Subscribe 🔔 for more LeetCode and DSA solutions. #LeetCode #DSA #BinaryString #CodingInterview #Algorithms #Java leetcode 1980 leetcode 1980 solution find unique binary string leetcode 1980 java solution leetcode binary string problem cantor diagonal trick algorithm unique binary string problem leetcode medium problem leetcode string problems binary string interview question coding interview string problem leetcode optimal solution coding interview preparation leetcode explained leetcode tutorial leetcode problem solving leetcode java solution leetcode dsa practice algorithm tutorial data structures and algorithms coding interview questions java dsa problems binary string algorithm software engineer interview preparation