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🚀 LeetCode 287: Find the Duplicate Number | O(1) Space Solution Explained | FAANG Interview Prep Struggling with LeetCode 287: Find the Duplicate Number? You're not alone! This is one of the most frequently asked coding interview questions at top tech companies like Google, Meta, Amazon, Microsoft, and Apple. In this comprehensive tutorial, we break down the optimal O(n) Time & O(1) Space solution using Floyd's Cycle Detection Algorithm (Tortoise and Hare) that FAANG interviewers actually expect you to know. Stop wasting time on brute force approaches that violate the constant space constraint – learn the elegant mathematical trick that solves this problem like a pro! 🔍 Problem Overview: LeetCode 287 Find the Duplicate Number Given an array of integers nums containing n + 1 integers where each integer is in the range [1, n] inclusive, there is exactly one repeated number. Your task: Find that duplicate number without modifying the array and using only constant extra space. This constraint makes traditional solutions like HashSet or sorting invalid for the optimal approach. 🎯 What You'll Master in This Tutorial: ✅ Why brute force, HashMap, and sorting solutions FAIL the space constraint ✅ How to visualize an array as a linked list with cycles ✅ Step-by-step breakdown of Floyd's Cycle Detection Algorithm ✅ Mathematical proof of why the cycle entrance equals the duplicate number ✅ Clean, production-ready code implementation (Python/Java/C++) ✅ Time Complexity: O(n) | Space Complexity: O(1) ✅ Common pitfalls and edge cases interviewers test ✅ How to explain this solution confidently in your next tech interview ⏱️ Detailed Timestamps: 0:00 - Hook: Why 90% of candidates fail this question 1:15 - LeetCode 287 problem statement & critical constraints 3:30 - Why HashSet, sorting, and brute force are WRONG here 5:45 - The "Aha!" moment: Treating array indices as linked list pointers 8:20 - Floyd's Cycle Detection: Phase 1 (Finding intersection point) 11:10 - Floyd's Cycle Detection: Phase 2 (Finding cycle entrance) 14:35 - Full code walkthrough with line-by-line explanation 18:50 - Dry run with example array [1,3,4,2,2] 21:40 - Time & Space complexity analysis 23:15 - How to communicate this solution in a real interview 25:30 - Similar problems to practice next (Linked List Cycle II, Happy Number) 27:00 - BONUS: Alternative binary search solution overview 🔗 Essential Resources & Links: 📌 Problem Link: https://leetcode.com/problems/find-th... 📌 Complete Code Repository: [Coming Soon - Subscribe for Updates!] 📌 FULL DSA INTERVIEW PLAYLIST: • Learn C Programming from Scratch | Beginne... 📌 Download Free Cheat Sheet: [Link in Pinned Comment] 💬 Connect With Me For Daily Coding Tips: 📩 Email: admin@infotechiezz.com 📸 Instagram: / infotechiezz 💼 LinkedIn: / infotechiezz ▶️ YouTube: / @infotechiezz 💬 WhatsApp Channel: https://www.whatsapp.com/channel/0029... 🐦 X (Twitter): https://x.com/infotechiezz LeetCode 287 solution, Find the duplicate number array, Floyd's cycle detection algorithm explained, Tortoise and hare algorithm LeetCode, O(1) space solution duplicate number, FAANG coding interview questions, Google software engineer interview, Meta coding problems, Amazon SDE interview prep, Microsoft technical interview, Apple coding challenges, array duplicate detection, linked list cycle detection, coding interview patterns, data structures and algorithms tutorial, Python LeetCode solutions, Java DSA interview prep, C++ competitive programming, tech job preparation, software engineering career growth, coding bootcamp supplemental, computer science fundamentals, algorithm optimization techniques, interview question walkthrough #LeetCode #LeetCode287 #FindTheDuplicateNumber #CodingInterview #DSA #DataStructures #Algorithms #FloydsCycleDetection #TortoiseAndHare #O1Space #ONTime #FAANG #GoogleInterview #MetaInterview #AmazonInterview #MicrosoftInterview #AppleInterview #TechJobs #SoftwareEngineer #Programming #Python #Java #CPlusPlus #CodingTutorial #InterviewPrep #Blind75 #Grind75 #TechCareers #DeveloperLife #CodeNewbie #100DaysOfCode #LearnToCode #ComputerScience #AlgorithmExplained #CodingChallenge #ProblemSolving #TechEducation #YouTubeLearning #Infotechiezz #CodeWithMe #DSAPlaylist #LeetCodeSolutions #InterviewSuccess #CareerGrowth #RemoteWork 👉 If this tutorial helped you, please LIKE, SHARE, and SUBSCRIBE to @infotechiezz for more high-impact coding interview breakdowns! Drop a comment below with which problem you want me to solve next. Let's crack FAANG together! 💪✨