Prefix Sum Algorithm | Sum Query in O(1) | Free DSA Tutorials by SCALER

In this video, we talk about problem solving technique called Prefix sum, which is used to solve range queries. The video explains how to solve sum queries in O(1). The problem of sum queries and its brute force solution Intuition behind prefix sum Construction of prefix sum array and solution to sum queries Discussion of an interview problem based on prefix sum 📜 Master Data Structures & Algorithms and get certified: https://www.scaler.com/topics/course/... In this video, you'll learn: ✔ Content of the video ✔ Sum of queries problem ✔ Intuition behind prefix sum ✔ Construction of prefix sum ✔ Pseudocode of sum of queries problem ✔ Time and Space complexity ✔ Question on prefix sum: Count of equilibrium index ✔ Pseudocode of the problem ✔ Time and Space complexity 🎓 Join a FREE live masterclass: https://www.scaler.com/events/?utm_so... ⏱ Chapters: 0:00 Introduction 0:22 Content of the video 1:03 Sum of queries problem 6:11 Intuition behind prefix sum 11:33 Construction of prefix sum 27:15 Pseudocode of sum of queries problem 29:15 Time and Space complexity 32:38 Question on prefix sum: Count of equilibrium index 41:50 Pseudocode of the problem 49:05 Time and Space complexity 🎓 Explore Scaler programs (Live Classes, 1:1 Mentorship & Real-world Projects): Modern Software & AI Engineering: https://www.scaler.com/academy/?utm_s... AI Data Scientist & Machine Learning: https://www.scaler.com/data-science-c... DevOps, Cloud & AI Platform Engineering: https://www.scaler.com/devops-course/... Advanced AI/ML with Agentic AI Specialisation: https://www.scaler.com/ai-machine-lea... AI Engineering Advanced Certification by IIT Roorkee CEC: https://www.scaler.com/iit-roorkee-ad... ▶ Related videos: Getting Started with Django REST Framework | FREE Full Course | SCALER:    • Getting Started with Django REST Framework...   Data Structures Complete Tutorial | 11+ Hours DSA & Graph Theory Full Course Using JAVA | @SCALER:    • Data Structures Complete Tutorial | 11+ Ho...   Advanced SQL Full Tutorial | SQL Subqueries | Structured Query Language | Windows Function | #SCALER:    • Advanced SQL Full Tutorial | SQL Subquerie...   🎥 Related playlist:    • Data Structures and Algorithms (DSA): Stac...   🌐 Website: https://www.scaler.com/?utm_source=yo... 🔔 Subscribe: https://www.youtube.com/Scaler?sub_co... 📲 Connect: Instagram:   / scaler_official   Linkedin:   / scalerofficial   X (Twitter):   / scaler_official   Facebook:   / scalerofficial   About Scaler Scaler is one of India's leading tech education platforms helping aspiring software engineers and professionals build successful careers in Software Engineering, AI, Data Science, Machine Learning, DevOps, Cloud Computing, Cybersecurity, and Product Management. Learn from industry experts through live classes, personalized mentorship, hands-on projects, and a job-focused curriculum designed for the modern tech industry. #prefixsumalgorithm #Scaler