695. Max Area of Island

Posted 2020-10-10 andywu

Given a non-empty 2D array grid of 0‘s and 1‘s, 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.

Find the maximum area of an island in the given 2D array. (If there is no island, the maximum area is 0.)

Example 1:

 [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]]

Given the above grid, return 6. Note the answer is not 11, because the island must be connected 4-directionally.

Example 2:

[[0,0,0,0,0,0,0,0]]

Given the above grid, return 0.

给定一个二维数组，找到垂直或水平方向连续1最多的个数，也就是岛的面积。

 1 class Solution {
 2     
 3     int AreaOfIsland(int[][] grid, int i, int j){
 4         if (i>=0 && i<grid.length && j>=0 && j<grid[0].length && grid[i][j] == 1)
 5         {
　　　　　　　　　//周围四个节点的面积，加上本节点的面积1
 6             grid[i][j]=0;
 7             return AreaOfIsland(grid,i-1,j) + AreaOfIsland(grid,i+1,j) + AreaOfIsland(grid,i,j-1) + AreaOfIsland(grid,i,j+1) + 1;
 8         }
 9         return 0;
10     }
11     
12     public int maxAreaOfIsland(int[][] grid) {
13         int maxArea = 0;
14         for (int i=0;i<grid.length;i++)
15             for (int j=0;j<grid[0].length;j++)
16             {
17                 if (grid[i][j] == 1) maxArea = Math.max(maxArea,AreaOfIsland(grid,i,j));
18             }
19        return maxArea;        
20     }
21 }