Optimize LeetCode 1536: Minimum Swaps for Binary Grid

Solved LeetCode Medium – 1536. Minimum Swaps to Arrange a Binary Grid today! 💻 Instead of actually swapping rows in the grid, I optimized the solution by tracking trailing zero counts per row and performing swaps on that array. This significantly simplifies the implementation and improves readability. Approach I Followed 1. Count Trailing Zeroes in Each Row For each row in the grid, traverse from the rightmost column. Count how many continuous zeroes appear at the end of that row. Store these counts in an array zeroes[i]. Example: Row: [1,0,0,0] → trailing zeroes = 3 Row: [1,1,0,0] → trailing zeroes = 2 2. Determine Required Zeroes per Row For row i, we need at least: requiredZeroes = n - i - 1 Because every row above must have enough zeros so that all elements above the main diagonal are zero. 3. Find a Suitable Row Search for the first row j ≥ i that has enough trailing zeroes. If no such row exists → return -1 (arrangement impossible). 4. Bring That Row Up Using Adjacent Swaps Swap row j upward until it reaches position i. Each adjacent swap increases the swap count. Instead of swapping rows in the grid, swap values in the zeroes array. This simulates the required row movement efficiently. 5. Continue Until Grid is Valid Repeat for every row until all constraints are satisfied. ✅ Time Complexity: O(n²) ✅ Space Complexity: O(n) It was a great exercise in greedy thinking, array manipulation, and edge-case handling. Always satisfying to break down a tricky grid problem into a simpler representation! 🚀 #LeetCode #DSA #Java #CodingPractice #GreedyAlgorithm #ProblemSolving #SoftwareEngineering

  • graphical user interface

To view or add a comment, sign in

Explore content categories