“7 Ways to Find the Duplicate Number | Brute → XOR → Floyd’s Cycle | Full DSA Guide”
“Find Duplicate in Array (1 to n-1) | ALL Approaches Explained | Interview Ready”
“Duplicate Number Problem | 7 Methods from Naive to Floyd’s Cycle Detection”
In this video, we solve a classic and very important DSA interview problem:
🔹 Given an array of size n containing numbers from 1 to n−1,
🔹 Exactly ONE number is repeated,
🔹 Your task is to find the repeating element.
What makes this video special is that we solve the same problem using **7 DIFFERENT APPROACHES**, starting from brute force and gradually moving to the most optimal and elegant solutions used in real interviews.
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🔥 APPROACHES COVERED IN THIS VIDEO
1️⃣ Naive Approach – Nested Loops
Time: O(n²), Space: O(1)
2️⃣ Sorting Based Approach
Time: O(n log n), Space: O(1)
3️⃣ Hash Set Approach
Time: O(n), Space: O(n)
4️⃣ Sum Formula (Mathematical Approach)
Time: O(n), Space: O(1)
5️⃣ XOR Based Approach
Time: O(n), Space: O(1)
6️⃣ Using Elements as Indexes (Sign Marking Technique)
Time: O(n), Space: O(1)
7️⃣ Floyd’s Cycle Detection Algorithm (Tortoise & Hare)
Time: O(n), Space: O(1) ⭐ (MOST IMPORTANT FOR INTERVIEWS)
Whether you're preparing for FAANG, product-based companies, coding rounds, or want to strengthen your fundamentals, this channel brings you the best structured DSA explanations with zero confusion.
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Coding interview questions with full proof and code
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LeetCode, GFG, Codeforces, HackerRank problem explanations
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Time complexity mastery
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