Subbareddy karri’s Post

Ever wondered how geometry and data structures come together to solve one of the most elegant coding problems? 📊 Let’s talk about it. Hey everyone! Day 291 of my 365-day coding journey, and today’s challenge was a classic: LeetCode’s “Largest Rectangle in Histogram.” This problem perfectly blends logical thinking with visual intuition — a true test of problem-solving depth. Let’s dive in! 🚀 🛠️ The Problem Given an array of integers heights representing the heights of a histogram (each bar has a width of 1), the goal is to find the area of the largest rectangle that can be formed. Example: heights = [2,1,5,6,2,3] → Output: 10 🎯 The Approach I solved this using two methods: Solution 1: Brute Force - Consider every possible pair of bars as boundaries. - Find the minimum height within that range and calculate the area. - Conceptually simple but time complexity is O(n²), making it inefficient for large inputs. Solution 2: Optimal (Monotonic Stack) - The key idea is to find the nearest smaller bar to the left and right for each bar. - Using a stack, we push indices and pop when we find a smaller height, calculating the area in between. - Each bar is pushed and popped at most once, giving O(n) time complexity. - Efficient, clean, and elegant! 🧠 Key Takeaways - Start with brute force to understand the logic, then refine it with an optimal approach. - Monotonic stacks are powerful tools for "nearest smaller or greater element" problems. - Visualization helps — once you see how each bar contributes to the area, the logic clicks. 💡 Challenge for You Can you think of another problem where a stack drastically improves performance over brute force? Drop your examples below! 💬 📺 Watch My Detailed Walkthrough I break down both methods step by step in my latest video: https://lnkd.in/gCbTz4WS 🔥 Join the Conversation If you’re diving deep into algorithms and data structures, let’s connect and grow together. Each day is a new step toward mastering problem-solving. 💪 #CodingJourney #365DaysOfCode #LeetCode #DSA #ProblemSolving #Stack #Algorithms #DataStructures #JavaScript #TechLearning #DeveloperLife #CodeNewbies #ProgrammingCommunity #SoftwareEngineering #LearningEveryDay

  • graphical user interface, application

To view or add a comment, sign in

Explore content categories