
<p align="center"><strong><a href="./qita/join.md">参与本项目</a>，贡献其他语言版本的代码，拥抱开源，让更多学习算法的小伙伴们受益！</strong></p>

# 102. 沉没孤岛 

[卡码网题目链接（ACM模式）](https://kamacoder.com/problempage.php?pid=1174)

题目描述：

给定一个由 1（陆地）和 0（水）组成的矩阵，岛屿指的是由水平或垂直方向上相邻的陆地单元格组成的区域，且完全被水域单元格包围。孤岛是那些位于矩阵内部、所有单元格都不接触边缘的岛屿。


现在你需要将所有孤岛“沉没”，即将孤岛中的所有陆地单元格（1）转变为水域单元格（0）。

输入描述：

第一行包含两个整数 N, M，表示矩阵的行数和列数。

之后 N 行，每行包含 M 个数字，数字为 1 或者 0，表示岛屿的单元格。

输出描述

输出将孤岛“沉没”之后的岛屿矩阵。

输入示例：

```
4 5
1 1 0 0 0
1 1 0 0 0
0 0 1 0 0
0 0 0 1 1
```

输出示例：

```
1 1 0 0 0
1 1 0 0 0
0 0 0 0 0
0 0 0 1 1
```

提示信息： 

![](https://code-thinking-1253855093.file.myqcloud.com/pics/20240517110932.png) 

将孤岛沉没： 

![](https://code-thinking-1253855093.file.myqcloud.com/pics/20240517110953.png) 

数据范围：

1 <= M, N <= 50 

## 思路

这道题目和[0101.孤岛的总面积](https://kamacoder.com/problempage.php?pid=1173)正好反过来了，[0101.孤岛的总面积](https://kamacoder.com/problempage.php?pid=1173)是求 地图中间的空格数，而本题是要把地图中间的 1 都改成 0 。 

那么两题在思路上也是差不多的。

思路依然是从地图周边出发，将周边空格相邻的陆地都做上标记，然后在遍历一遍地图，遇到 陆地 且没做过标记的，那么都是地图中间的 陆地 ，全部改成水域就行。

有的录友可能想，我在定义一个 visited 二维数组，单独标记周边的陆地，然后遍历地图的时候同时对 数组board 和 数组visited 进行判断，决定 陆地是否变成水域。

这样做其实就有点麻烦了，不用额外定义空间了，标记周边的陆地，可以直接改陆地为其他特殊值作为标记。 

步骤一：深搜或者广搜将地图周边的 1 （陆地）全部改成 2  （特殊标记）

步骤二：将水域中间 1 （陆地）全部改成 水域（0） 

步骤三：将之前标记的 2 改为 1 （陆地）

如图： 

![](https://code-thinking-1253855093.file.myqcloud.com/pics/20240517113813.png) 

整体C++代码如下，以下使用dfs实现，其实遍历方式dfs，bfs都是可以的。 

```CPP 
#include <iostream>
#include <vector>
using namespace std;
int dir[4][2] = {-1, 0, 0, -1, 1, 0, 0, 1}; // 保存四个方向
void dfs(vector<vector<int>>& grid, int x, int y) {
    grid[x][y] = 2;
    for (int i = 0; i < 4; i++) { // 向四个方向遍历
        int nextx = x + dir[i][0];
        int nexty = y + dir[i][1];
        // 超过边界
        if (nextx < 0 || nextx >= grid.size() || nexty < 0 || nexty >= grid[0].size()) continue;
        // 不符合条件，不继续遍历
        if (grid[nextx][nexty] == 0 || grid[nextx][nexty] == 2) continue;
        dfs (grid, nextx, nexty);
    }
    return;
}

int main() {
    int n, m;
    cin >> n >> m;
    vector<vector<int>> grid(n, vector<int>(m, 0));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            cin >> grid[i][j];
        }
    }

    // 步骤一：
    // 从左侧边，和右侧边 向中间遍历
    for (int i = 0; i < n; i++) {
        if (grid[i][0] == 1) dfs(grid, i, 0);
        if (grid[i][m - 1] == 1) dfs(grid, i, m - 1);
    }

    // 从上边和下边 向中间遍历
    for (int j = 0; j < m; j++) {
        if (grid[0][j] == 1) dfs(grid, 0, j);
        if (grid[n - 1][j] == 1) dfs(grid, n - 1, j);
    }
    // 步骤二、步骤三
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            if (grid[i][j] == 1) grid[i][j] = 0;
            if (grid[i][j] == 2) grid[i][j] = 1;
        }
    }
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            cout << grid[i][j] << " ";
        }
        cout << endl;
    }
}
```

## 其他语言版本

### Java 

```JAVA

import java.util.Scanner;

public class Main {
    static int[][] dir = { {-1, 0}, {0, -1}, {1, 0}, {0, 1} }; // 保存四个方向

    public static void dfs(int[][] grid, int x, int y) {
        grid[x][y] = 2;
        for (int[] d : dir) {
            int nextX = x + d[0];
            int nextY = y + d[1];
            // 超过边界
            if (nextX < 0 || nextX >= grid.length || nextY < 0 || nextY >= grid[0].length) continue;
            // 不符合条件，不继续遍历
            if (grid[nextX][nextY] == 0 || grid[nextX][nextY] == 2) continue;
            dfs(grid, nextX, nextY);
        }
    }

    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int n = scanner.nextInt();
        int m = scanner.nextInt();
        int[][] grid = new int[n][m];

        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                grid[i][j] = scanner.nextInt();
            }
        }

        // 步骤一：
        // 从左侧边，和右侧边 向中间遍历
        for (int i = 0; i < n; i++) {
            if (grid[i][0] == 1) dfs(grid, i, 0);
            if (grid[i][m - 1] == 1) dfs(grid, i, m - 1);
        }

        // 从上边和下边 向中间遍历
        for (int j = 0; j < m; j++) {
            if (grid[0][j] == 1) dfs(grid, 0, j);
            if (grid[n - 1][j] == 1) dfs(grid, n - 1, j);
        }

        // 步骤二、步骤三
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                if (grid[i][j] == 1) grid[i][j] = 0;
                if (grid[i][j] == 2) grid[i][j] = 1;
            }
        }

        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                System.out.print(grid[i][j] + " ");
            }
            System.out.println();
        }
        
        scanner.close();
    }
}


```


### Python


```python

def dfs(grid, x, y):
    grid[x][y] = 2
    directions = [(-1, 0), (0, -1), (1, 0), (0, 1)]  # 四个方向
    for dx, dy in directions:
        nextx, nexty = x + dx, y + dy
        # 超过边界
        if nextx < 0 or nextx >= len(grid) or nexty < 0 or nexty >= len(grid[0]):
            continue
        # 不符合条件，不继续遍历
        if grid[nextx][nexty] == 0 or grid[nextx][nexty] == 2:
            continue
        dfs(grid, nextx, nexty)

def main():
    n, m = map(int, input().split())
    grid = [[int(x) for x in input().split()] for _ in range(n)]

    # 步骤一：
    # 从左侧边，和右侧边 向中间遍历
    for i in range(n):
        if grid[i][0] == 1:
            dfs(grid, i, 0)
        if grid[i][m - 1] == 1:
            dfs(grid, i, m - 1)

    # 从上边和下边 向中间遍历
    for j in range(m):
        if grid[0][j] == 1:
            dfs(grid, 0, j)
        if grid[n - 1][j] == 1:
            dfs(grid, n - 1, j)

    # 步骤二、步骤三
    for i in range(n):
        for j in range(m):
            if grid[i][j] == 1:
                grid[i][j] = 0
            if grid[i][j] == 2:
                grid[i][j] = 1

    # 打印结果
    for row in grid:
        print(' '.join(map(str, row)))

if __name__ == "__main__":
    main()
```


 广搜版
```Python
from collections import deque

n, m = list(map(int, input().split()))
g = []
for _ in range(n):
    row = list(map(int,input().split()))
    g.append(row)
    
directions = [(1,0),(-1,0),(0,1),(0,-1)]
count = 0

def bfs(r,c,mode):
    global count 
    q = deque()
    q.append((r,c))
    count += 1
    
    while q:
        r, c = q.popleft()
        if mode:
            g[r][c] = 2
            
        for di in directions:
            next_r = r + di[0]
            next_c = c + di[1]
            if next_c < 0 or next_c >= m or next_r < 0 or next_r >= n:
                continue
            if g[next_r][next_c] == 1:
                q.append((next_r,next_c))
                if mode:
                    g[r][c] = 2
                    
                count += 1
    

for i in range(n):
    if g[i][0] == 1: bfs(i,0,True)
    if g[i][m-1] == 1: bfs(i, m-1,True)
    
for j in range(m):
    if g[0][j] == 1: bfs(0,j,1)
    if g[n-1][j] == 1: bfs(n-1,j,1)

for i in range(n):
    for j in range(m):
        if g[i][j] == 2:
            g[i][j] = 1
        else:
            g[i][j] = 0
            
for row in g:
    print(" ".join(map(str, row)))

```


### Go

### Rust

### Javascript

#### 深搜版

```javascript
const r1 = require('readline').createInterface({ input: process.stdin });
// 创建readline接口
let iter = r1[Symbol.asyncIterator]();
// 创建异步迭代器
const readline = async () => (await iter.next()).value;

let graph // 地图
let N, M // 地图大小
const dir = [[0, 1], [1, 0], [0, -1], [-1, 0]] //方向


// 读取输入，初始化地图
const initGraph = async () => {
  let line = await readline();
  [N, M] = line.split(' ').map(Number);
  graph = new Array(N).fill(0).map(() => new Array(M).fill(0))

  for (let i = 0; i < N; i++) {
    line = await readline()
    line = line.split(' ').map(Number)
    for (let j = 0; j < M; j++) {
      graph[i][j] = line[j]
    }
  }
}


/**
 * @description: 从（x，y）开始深度优先遍历地图
 * @param {*} graph 地图
 * @param {*} x 开始搜索节点的下标
 * @param {*} y 开始搜索节点的下标
 * @return {*}
 */
const dfs = (graph, x, y) => {
  if (graph[x][y] !== 1) return
  graph[x][y] = 2 // 标记为非孤岛陆地

  for (let i = 0; i < 4; i++) {
    let nextx = x + dir[i][0]
    let nexty = y + dir[i][1]
    if (nextx < 0 || nextx >= N || nexty < 0 || nexty >= M) continue
    dfs(graph, nextx, nexty)
  }
}

(async function () {

  // 读取输入，初始化地图
  await initGraph()

  // 遍历地图左右两边
  for (let i = 0; i < N; i++) {
    if (graph[i][0] === 1) dfs(graph, i, 0)
    if (graph[i][M - 1] === 1) dfs(graph, i, M - 1)
  }

  // 遍历地图上下两边
  for (let j = 0; j < M; j++) {
    if (graph[0][j] === 1) dfs(graph, 0, j)
    if (graph[N - 1][j] === 1) dfs(graph, N - 1, j)
  }


  // 遍历地图，将孤岛沉没，即将陆地1标记为0；将非孤岛陆地2标记为1
  for (let i = 0; i < N; i++) {
    for (let j = 0; j < M; j++) {
      if (graph[i][j] === 1) graph[i][j] = 0
      else if (graph[i][j] === 2) graph[i][j] = 1
    }
    console.log(graph[i].join(' '));
  }
})()
```



#### 广搜版

```javascript
const r1 = require('readline').createInterface({ input: process.stdin });
// 创建readline接口
let iter = r1[Symbol.asyncIterator]();
// 创建异步迭代器
const readline = async () => (await iter.next()).value;

let graph // 地图
let N, M // 地图大小
const dir = [[0, 1], [1, 0], [0, -1], [-1, 0]] //方向


// 读取输入，初始化地图
const initGraph = async () => {
  let line = await readline();
  [N, M] = line.split(' ').map(Number);
  graph = new Array(N).fill(0).map(() => new Array(M).fill(0))

  for (let i = 0; i < N; i++) {
    line = await readline()
    line = line.split(' ').map(Number)
    for (let j = 0; j < M; j++) {
      graph[i][j] = line[j]
    }
  }
}


/**
 * @description: 从（x，y）开始广度优先遍历地图
 * @param {*} graph 地图
 * @param {*} x 开始搜索节点的下标
 * @param {*} y 开始搜索节点的下标
 * @return {*}
 */
const bfs = (graph, x, y) => {
  let queue = []
  queue.push([x, y])
  graph[x][y] = 2 // 标记为非孤岛陆地

  while (queue.length) {
    let [xx, yy] = queue.shift()

    for (let i = 0; i < 4; i++) {
      let nextx = xx + dir[i][0]
      let nexty = yy + dir[i][1]
      if (nextx < 0 || nextx >= N || nexty < 0 || nexty >= M) continue
      if (graph[nextx][nexty] === 1) bfs(graph, nextx, nexty)
    }
  }
}

(async function () {

  // 读取输入，初始化地图
  await initGraph()

  // 遍历地图左右两边
  for (let i = 0; i < N; i++) {
    if (graph[i][0] === 1) bfs(graph, i, 0)
    if (graph[i][M - 1] === 1) bfs(graph, i, M - 1)
  }

  // 遍历地图上下两边
  for (let j = 0; j < M; j++) {
    if (graph[0][j] === 1) bfs(graph, 0, j)
    if (graph[N - 1][j] === 1) bfs(graph, N - 1, j)
  }


  // 遍历地图，将孤岛沉没，即将陆地1标记为0；将非孤岛陆地2标记为1
  for (let i = 0; i < N; i++) {
    for (let j = 0; j < M; j++) {
      if (graph[i][j] === 1) graph[i][j] = 0
      else if (graph[i][j] === 2) graph[i][j] = 1
    }
    console.log(graph[i].join(' '));
  }
})()
```



### TypeScript

### PhP

### Swift

### Scala

### C#

### Dart

### C

