LeetCode Problem 1292 | Max. Side Length of Square with Sum ≤ Threshold (19-01-2026) | Easy Solution

Описание: 🚀 LeetCode Problem 1292 | Maximum Side Length of a Square with Sum ≤ Threshold

In this video, we dive into LeetCode Problem 1292, where we find the largest possible square submatrix whose total sum does not exceed a given threshold.

🔍 Problem Insight
You’re given a 2D matrix and a threshold value. The challenge is to determine the maximum side length of a square such that the sum of its elements remains within the allowed limit. A brute-force approach won’t work efficiently here, so we need a smarter strategy.

🧠 Optimized Strategy Used
To solve this problem efficiently, we combine:

2D Prefix Sum to compute submatrix sums in constant time
Binary Search to quickly identify the maximum valid square size

This powerful combination ensures excellent performance even for large matrices.

⚙️ Concepts Covered

Matrix Prefix Sum Technique
Binary Search Optimization
Efficient Submatrix Sum Calculation
Time & Space Complexity Analysis

📈 Why You Should Watch
This problem is a perfect example of how preprocessing and searching techniques can drastically improve performance in matrix-based problems—an essential skill for coding interviews and competitive programming.

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🔗 *Problem Link*
[https://leetcode.com/problems/maximum...](https://leetcode.com/problems/maximum...)