GFG Coverage of all Zeros in a Binary Matrix

📋 Video Description:
Welcome to another exciting tutorial on solving a binary matrix problem from GeeksforGeeks! In this video, we'll learn how to find the sum of coverage for all zeros in a binary matrix. Coverage for a particular zero is defined as the total number of ones around it in the left, right, up, and bottom directions, extending to the edges of the matrix.
📝 Problem Statement:
Given a binary matrix containing only 0s and 1s, we need to compute the sum of coverage for all zeros. The coverage for a zero is the number of ones encountered in its surrounding directions (left, right, up, and bottom) until the edge of the matrix.
📊 Example:
Input:
matrix = [
[1, 0, 1],
[0, 1, 0],
[1, 0, 1]
]
Output:
8
Explanation:
The zeros at positions (0,1), (1,0), (1,2), and (2,1) have coverage as follows:
(0,1): 2 ones (left: 1, right: 1)
(1,0): 2 ones (top: 1, bottom: 1)
(1,2): 2 ones (top: 1, bottom: 1)
(2,1): 2 ones (left: 1, right: 1)
The total coverage is 2 + 2 + 2 + 2 = 8.
📚 Key Learnings:
Iterating through a matrix and handling boundary conditions.
Efficiently checking the surrounding cells for specific conditions.
Implementing and optimizing nested loops for matrix operations.
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