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Region in BinaryMatrix


Problem Description

Given a binary matrix A of size N x M.

Cells which contain 1 are called filled cell and cell that contain 0 are called empty 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 also connected, they form a region. Find the length of the largest region.

.



Problem Constraints

1 <= N, M <= 102

A[i][j]=0 or A[i][j]=1



Input Format

First argument is a 2D binary matrix Aof size N x M.



Output Format

Return a single interger denoting the length of largest region.



Example Input

Input 1:

 A = [  [0, 0, 1, 1, 0]
        [1, 0, 1, 1, 0]
        [0, 1, 0, 0, 0]
        [0, 0, 0, 0, 1]
    ]

Input 2:

 A = [  [1, 1, 1]
        [0, 0, 1]
    ]



Example Output

Output 1:

 6

Output 2:

 4



Example Explanation

Explanation 1:

 The largest region is denoted by red color in the matrix:
    00110
    10110
    01000
    00001

Explanation 2:

 The largest region is:
    111
    001



NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a doubt? Checkout Sample Codes for more details.
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