200. 岛屿数量

发布时间 2023-09-21 14:44:52作者: xiazichengxi

给你一个由 '1'(陆地)和 '0'(水)组成的的二维网格,请你计算网格中岛屿的数量。

岛屿总是被水包围,并且每座岛屿只能由水平方向和/或竖直方向上相邻的陆地连接形成。

此外,你可以假设该网格的四条边均被水包围。

示例 1:

输入:grid = [
["1","1","1","1","0"],
["1","1","0","1","0"],
["1","1","0","0","0"],
["0","0","0","0","0"]
]
输出:1

> 代码

关键点: 1:通过字符二维数组,从左上到右下,找到第一个‘1’出现的位置 2:通过该位置,进行深度搜索,将相邻的1清零

  • DFS状态的设置:
  • 返回条件:遇到矩阵值为‘0’
  • 执行条件:矩阵值为‘1’,将对应的‘1’清零
  • 遍历条件:按照当前位置的上下左右4个方向进行遍历

3:岛屿数量加1 4: 重复过程1,之后结束。


class Solution {
public:
    int df(vector<vector<char>>& grid, int i, int j) {
        if (i < 0 || j < 0 || i >= grid.size() || j >= grid[0].size() || grid[i][j] == '0') {
            return 0;
        }
        grid[i][j] = '0';
        for (int index = 0; index < 4; ++index) {
            int next_i = i + di[index];
            int next_j = j + dj[index];
            df(grid, next_i,next_j);
        }

        return 1;
    } 

    int numIslands(vector<vector<char>>& grid) {
        int num = 0;
        for (int i = 0; i < grid.size(); ++i) {
            for (int j = 0; j < grid[0].size(); ++j) {
                num += df(grid, i, j); 
            }
        }
        return num;
    }

private:
        int di[4] = {-1,0,1,0};
        int dj[4] = {0,1,0,-1};
};