100-Day DSA Challenge: Solving 200 Problems with Binary Search

🔥 Solving 200 Problems in 100-Day DSA Challenge 🚀 Day 9 / 100 — DSA Challenge I have decided to take up a 100-day challenge to solve 200 problems in DSA to become a better engineer and problem solver. Today, I solved a classic problem related to partitioning with an optimized solution. ✅ Today’s Progress Problem: Painter’s Partition Problem 💡 Key Insight: Solved this problem by using Binary Search on Answer. The problem is to minimize the maximum time taken by any painter. The search space is between the maximum time taken by any painter and the total sum of boards. For each mid value, I checked if I could paint all boards with m painters without taking more than mid time. If I could paint all boards, I set end to mid - 1. If I couldn’t paint all boards, I set end to mid + 1. This problem is reduced to O(n log sum). 🧠 Biggest Insight Today When the problem asks us to minimize the maximum value, it is a strong signal to think in terms of Binary Search on Answer. 💼 Real-World Relevance This pattern is heavily utilized in the real world: • Balanced load of tasks across multiple workers • Balanced distribution of workloads in cloud environments • Scheduling of tasks to optimize maximum execution time The distribution of tasks is of critical importance. 🎯 Why I’m Doing This ✔ Improve my understanding of core CS concepts ✔ Improve my problem-solving skills ✔ Develop the capability to work on real-world projects ✔ Develop into an engineer who can solve real-life problems Consistency is better than intensity 🔥 If you’re also looking to enhance your coding skills or prepare for interviews, let's connect 🤝 #100Daysofcode #Dsa #Algorithms #Datastructures #Problemsolving #Softwareengineering #Programming #Coding #Developers #Computerscience #Fullstackdeveloper #Mern #Webdevelopment

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