Largest Submatrix With Rearrangements: LeetCode Challenge

🚀 Day 89/100 of the LeetCode Challenge 🚀 Today’s problem is "Largest Submatrix With Rearrangements" — a fascinating problem that blends matrix manipulation with greedy thinking and sorting! 📊🔍 At first glance, it seems like a standard submatrix problem, but the twist lies in the ability to rearrange columns freely. This completely changes the game! You can't just look for the largest rectangle of 1's in the grid — you need to think in terms of column-wise heights and then sort them row by row to maximize the area. 🧠✨ The intuition is to transform the grid so that grid[r][c] represents the number of consecutive 1's ending at that cell (like histogram heights). Then, for each row, you take the heights, sort them in descending order, and compute the maximum area possible as height[i] * (i + 1) for each column index. 🔁 📌 Key Steps: Update heights: For each cell, if it's a 1, add the value from the row above (cumulative count). Sort row-wise: For each row, sort the heights in non-increasing order. Calculate area: For each column in the sorted row, area = height * (index + 1), track the max. Return the maximum area across all rows. This approach runs in O(m * n log n) time and is super satisfying once it clicks! 💡 Here’s a Java solution I used today — it passed all 59 test cases with a runtime of 14 ms and memory usage of 115 MB. Not the most optimized, but it’s clean and gets the job done. 💻👨💻 ✅ Key Takeaways: Sorting after computing heights is the magic step ✨ Understanding how to transform a submatrix problem into a histogram problem is a powerful skill Always think about how you can rearrange columns — it’s not about original positions, but about potential! #LeetCode #Day89 #100DaysOfCode #Java #CodingChallenge #Matrix #Greedy #Sorting #Submatrix #Histogram #ProblemSolving #TechJourney #CodeNewbie #LearnToCode #SoftwareEngineering #ProgrammingLife #CodingJourney #Developer #DSA #Algorithms #DataStructures #DailyCoding #CodeDaily #TechCommunity #WomenWhoCode #CodingLife #LeetCodeChallenge #100DaysOfLeetCode

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