Prefix Sum Technique for Subarray Problems

Struggling with subarray problems? This one pattern can solve most of them 👇 If you’re preparing for coding interviews or improving your problem-solving skills, the Prefix Sum technique is a must-know pattern. 💡 What is Prefix Sum? It’s a way to store the cumulative sum of elements so that you can quickly calculate the sum of any subarray in constant time. 👉 Example: For array [1, 2, 3, 4] Prefix sum becomes → [1, 3, 6, 10] 🎯 Why use it? . Reduces time complexity from O(n²) → O(n) . Helps solve problems like: - Subarray sum = k - Longest subarray with given sum - Count of subarrays 🧠 Core Idea: Instead of recalculating sums again and again: sum(i to j) = prefix[j] - prefix[i-1] 🔥 Power Boost with HashMap Combine prefix sum with a hashmap to: - Track previously seen sums - Solve complex problems in one pass ⚡ Key Patterns to Remember: - currentSum += nums[i] - Check currentSum - k - Store sum in hashmap - For longest → store first occurrence - For count → store frequency 💬 Learning Tip: Don’t just memorize the code — understand why we store sums and how we use them. 📌 Prefix Sum is not just a trick — it’s a pattern that appears again and again in interviews. Keep practicing. Keep improving. 💪 #DSA #CodingInterview #Programming #Python #SoftwareEngineering #Learning #100DaysOfCode

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