695. 岛屿的最大面积

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:

695. 岛屿的最大面积_第1张图片

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
public int maxAreaOfIsland(int[][] grid) {
        int m = grid.length;
        int n = grid[0].length;
        int res = 0;
        for (int i = 0; i < m; i++) {
            for (int j = 0; j < n; j++) {
                if (grid[i][j] == 1) {
                    res = Math.max(res, dfs(grid, i, j));
                }
            }
        }
        return res;

    }

    public int dfs(int[][] grid, int i, int j) {
        int m = grid.length;
        int n = grid[0].length;
        if (i < 0 || i >= m || j < 0 || j >= n) {
            return 0;
        }
        if (grid[i][j] == 0) {
            return 0;
        }
        grid[i][j] = 0;
        return dfs(grid, i, j + 1) +
                dfs(grid, i, j - 1) + dfs(grid, i + 1, j) + dfs(grid, i - 1, j) + 1;
    }

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