Problem Statement: Largest Island

You are provided with a non-empty grid consisting of only 0s and 1s. Your task is to determine the maximum area of an island within the given grid.

An island consists of a cluster of 1s (representing land) connected in any of the horizontal, vertical, or diagonal directions. It is assumed that all four edges of the grid are bordered by 0s (representing water).

Input:

The first line contains an integer 'T' denoting the number of test cases.

The first input line of each test case contains two space-separated integers ‘N’ and ‘M’ representing the number of rows and columns of the grid, respectively.

The subsequent 'N' lines represent the rows of the grid. Each row contains 'M' single space-separated integers.

Output:

For each test case, return the maximum area of the island in the grid.

Example:

Input:
T = 1
N = 4, M = 5
grid = [
[1, 1, 0, 0, 0],
[1, 1, 0, 1, 1],
[0, 0, 0, 1, 1],
[0, 0, 0, 0, 0]
]

Output:
4

Constraints:

  • 1 <= T <= 100
  • 1 <= N <= 50
  • 1 <= M <= 50
  • 0 <= GRID[i][j] <= 1

Note: If there is no island present in the grid, the maximum area will be 0.

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