Unit Area of largest region of 1's
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  Difficulty: Medium   Marks: 4
Associated Course(s):   Geeks Classes DSA

Consider a matrix with N rows and M columns, where each cell contains either a ‘0’ or a ‘1’ and any cell containing a 1 is called a filled cell. Two cells are said to be connected if they are adjacent to each other horizontally, vertically, or diagonally. If one or more filled cells are connected, they form a region. The task is to find the unit area of the largest region.

Input:
The first line of input will be the number of testcases T, then T testcases follow. The first line of each testcase contains 2 space separated integers n and m. Then in the next line are the nxm inputs of the matrix A separated by space.

Output:
The output in the expected output will be the length of the largest region formed.

Constraints:
1 <= T <= 100
1 <= N, N <= 50
0 <= A[][] <= 1

Example:
Input:

2
3 3
1 1 0 0 0 1 1 0 1
1 3
1 1 1

Output:
4
3

Explanation:
Testcase 1: Matrix can be shown as follows:
1 1 0
0 0 1
1 0 1

Largest region of 1s in the above matrix is with total 6 1s (colored in Red).
 

** For More Input/Output Examples Use 'Expected Output' option **

Author: Shubham Joshi 1


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