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Array Division (CSES) | Binary Search on Prefix Sums Explained | Greedy + BS Intuition

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Jul 22, 2025
19:50

In this video, we solve the problem "Array Division" from the CSES Problem Set using **Binary Search on the Answer** combined with a **greedy check**. 🚀 What you’ll learn in this video: - How to identify binary search on answer problems - How to define the search space and check function - How greedy works in splitting arrays into K parts - Step-by-step C++ implementation with time & space complexity - How to debug and intuitively reason through prefix-based partitions 📚 Problem: You are given an array and asked to divide it into exactly k subarrays such that the maximum sum among them is minimized. Classic variation of Painter Partition and Load Balancing. 💡 Techniques used: - Binary Search on Range - Greedy partitioning - Prefix sum reasoning - Optimized code walkthrough 👨‍💻 Platform: CSES Problem Set 🔗 Problem link: https://cses.fi/problemset/task/1085/ ⏱ Time Complexity: O(n * log(sum)) 📦 Space Complexity: O(n) If you're preparing for competitive programming contests or job interviews, mastering this pattern is a must! #binarysearch #cses #arraydivision #greedyalgorithm #competitiveprogramming #cseseditorial #binarysearchonanswer

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Array Division (CSES) | Binary Search on Prefix Sums Explained | Greedy + BS Intuition | NatokHD