Max Area of Island
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
.
Example 1:
Input: grid = [[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: grid = [[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 either0
or1
.
public class Solution {
public int MaxAreaOfIsland(int[][] grid)
{
int maxArea = 0;
int n = grid.Length;
int m = grid[0].Length;
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
if (grid[i][j] == 1)
{
int area = GetAreaOfIsland(grid, n, m, i, j);
maxArea = Math.Max(maxArea, area);
}
}
}
return maxArea;
}
public int GetAreaOfIsland(int[][] grid, int n, int m, int i, int j)
{
if (i >= 0 && i < n && j >= 0 && j < m && grid[i][j] == 1)
{
grid[i][j] = 0;
return 1 + GetAreaOfIsland(grid, n, m, i + 1, j) + GetAreaOfIsland(grid, n, m, i - 1, j) + GetAreaOfIsland(grid, n, m, i, j + 1) + GetAreaOfIsland(grid, n, m, i, j - 1);
}
return 0;
}
}
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