Number of Islands

本文介绍了一种使用深度优先搜索(DFS)算法解决岛屿数量计算问题的方法。通过遍历二维网格地图,将每个‘1’(陆地)标记为‘0’(水域),以此消除相连的陆地并计算岛屿总数。

新知,扫描整个grid,将1的周围都设为0(dfs),这样有几个1,就有几个岛

至于用union-find的解法,之后研习

好了,可以先去吃午饭了

public class Solution {
    public int numIslands(char[][] grid) {
        int num = 0;
        if (grid == null || grid.length == 0 || grid[0] == null || grid[0].length == 0) {
            return 0;
        }
        for (int x = 0; x < grid.length; x++) {
            for (int y = 0; y < grid[0].length; y++) {
                if (grid[x][y] == '1') {
                    num++;
                    numIslandsHelper(x, y, grid);
                }
            }
        }
        return num;
    }
    
    private void numIslandsHelper(int x, int y, char[][] grid) {
        grid[x][y] = '0';
        if (x - 1 >= 0 &&  grid[x - 1][y] == '1') {
            numIslandsHelper(x - 1, y, grid);
        }
        if (y - 1 >= 0 &&  grid[x][y - 1] == '1') {
            numIslandsHelper(x, y - 1, grid);
        }
        if (x + 1 < grid.length &&  grid[x + 1][y] == '1') {
            numIslandsHelper(x + 1, y, grid);
        }
        if (y + 1 < grid[0].length &&  grid[x][y + 1] == '1') {
            numIslandsHelper(x, y + 1, grid);
        }
    }
}

Given a 2d grid map of '1's (land) and '0's (water), count the number of islands. An island is surrounded by water and is formed by connecting adjacent lands horizontally or vertically. You may assume all four edges of the grid are all surrounded by water.

Example 1:

11110
11010
11000
00000

Answer: 1

Example 2:

11000
11000
00100
00011

Answer: 3

1328:Radar Installation 查看 提交 统计 提示 提问 总时间限制: 1000ms 内存限制: 65536kB 描述 Assume the coasting is an infinite straight line. Land is in one side of coasting, sea in the other. Each small island is a point locating in the sea side. And any radar installation, locating on the coasting, can only cover d distance, so an island in the sea can be covered by a radius installation, if the distance between them is at most d. We use Cartesian coordinate system, defining the coasting is the x-axis. The sea side is above x-axis, and the land side below. Given the position of each island in the sea, and given the distance of the coverage of the radar installation, your task is to write a program to find the minimal number of radar installations to cover all the islands. Note that the position of an island is represented by its x-y coordinates. Figure A Sample Input of Radar Installations 输入 The input consists of several test cases. The first line of each case contains two integers n (1<=n<=1000) and d, where n is the number of islands in the sea and d is the distance of coverage of the radar installation. This is followed by n lines each containing two integers representing the coordinate of the position of each island. Then a blank line follows to separate the cases. The input is terminated by a line containing pair of zeros 输出 For each test case output one line consisting of the test case number followed by the minimal number of radar installations needed. "-1" installation means no solution for that case. 生成c语言代码
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