LeetCode 1895 | Largest Magic Square | Daily LeetCode | Day 18/365 | Prefix Sum | C++ Solution
In this video, we solve LeetCode Daily Problem 1895: Largest Magic Square, where the goal is to find the largest magic square inside a given grid.
🧠 Core Idea:
A magic square requires all rows, columns, and both diagonals to have the same sum. We use 2D prefix sums and diagonal prefix arrays to efficiently verify each candidate square.
📌 What you’ll learn in this video:
• What defines a magic square
• How prefix sums optimize submatrix sum checks
• Efficient diagonal sum computation
• Brute force vs optimized approach
• Step-by-step logic with edge cases
• Clean and interview-ready C++ implementation
⏱ Time Complexity: O(n² × k)
💾 Space Complexity: O(n²)
💻 Problem Link:
https://leetcode.com/problems/largest-magic-square/
🎯 Why this problem matters:
This problem is a great test of matrix handling, prefix sums, and optimization skills, commonly seen in interview and contest problems.
👍 Like the video if it helped you understand prefix sums better
💬 Comment if you want a dry run or visualization
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