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Max Area of Island

Matrix
medium
Score: 30

You are given an m x n binary matrix grid. An island is a group of 1's (representing land) connected 4-directionally (horizontal or vertical.) You may assume all four edges of the grid are surrounded by water.

The area of an island is the number of cells with a value 1 in the island.

Return the maximum area of an island in grid. If there is no island, return 0.

Input Format:

First parameter: matrix grid of size m x n

Output Format:

Return the number.

Example 1:

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Input:
8 13
0 0 1 0 0 0 0 1 0 0 0 0 0
0 0 0 0 0 0 0 1 1 1 0 0 0
0 1 1 0 1 0 0 0 0 0 0 0 0
0 1 0 0 1 1 0 0 1 0 1 0 0
0 1 0 0 1 1 0 0 1 1 1 0 0
0 0 0 0 0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 1 1 1 0 0 0
0 0 0 0 0 0 0 1 1 0 0 0 0
Output: 
6
Explanation: The answer is not 11, because the island must be connected 4-directionally.

Example 2:

Input: 
1 8
0 0 0 0 0 0 0 0
Output: 
0

Constraints:

  • m == grid.length
  • n == grid[i].length
  • 1 <= m, n <= 50
  • grid[i][j] is either 0 or 1.
  • Time Complexity: O(m*n)
  • Space complexity: O(m*n)
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