给你一个大小为 m x n 的二进制矩阵 grid 。
岛屿 是由一些相邻的 1 (代表土地) 构成的组合,这里的「相邻」要求两个 1 必须在 水平或者竖直的四个方向上 相邻。你可以假设 grid 的四个边缘都被 0(代表水)包围着。
岛屿的面积是岛上值为 1 的单元格的数目。
计算并返回 grid 中最大的岛屿面积。如果没有岛屿,则返回面积为 0 。
示例 1:
输入: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]]
输出:6
解释:答案不应该是 11 ,因为岛屿只能包含水平或垂直这四个方向上的 1 。
示例 2:
输入:grid = [[0,0,0,0,0,0,0,0]]
输出:0
提示:
m == grid.length
n == grid[i].length
1 <= m, n <= 50
grid[i][j] 为 0 或 1
class Solution {
int[][] grid;
int n, m;
int[] dirs = new int[]{-1, 0, 1, 0, -1};
public int maxAreaOfIsland(int[][] grid) {
this.grid = grid;
int res = 0;
n = grid.length; m = grid[0].length;
for (int i = 0; i < n; ++i)
for (int j = 0; j < m; ++j) {
if (grid[i][j] == 1)
res = Math.max(res, dfs(i, j));
}
return res;
}
int dfs(int x, int y) {
int sum = 1;
grid[x][y] = 0;
for (int i = 0; i < 4; ++i) {
int a = x + dirs[i], b = y + dirs[i + 1];
if (a < 0 || a >= n || b < 0 || b >= m) continue;
if (grid[a][b] == 0) continue;
sum += dfs(a, b);
}
return sum;
}
}