图的BFS----迷宫问题

题目描述:

...11111111111111111111111111111
11.111111........1111111111.1111
11.111111..111.11111111.....1111
11.11111111111.1111111111.111111
11.111111.................111111
11.111111.11111111111.11111.1111
11.111111.11111111111.11111..111
11..........111111111.11111.1111
11111.111111111111111.11....1111
11111.111111111111111.11.11.1111
11111.111111111111111.11.11.1111
111...111111111111111.11.11.1111
111.11111111111111111....11.1111
111.11111111111111111111111.1111
111.1111.111111111111111......11
111.1111.......111111111.1111.11
111.1111.11111.111111111.1111.11
111......11111.111111111.1111111
11111111111111.111111111.111...1
11111111111111...............1.1
111111111111111111111111111111.. 如上图的迷宫,入口,出口分别:左上角,右下角
"1"是墙壁,"."是通路
求最短需要走多少步?

代码实现:

 import java.util.LinkedList;
import java.util.Queue;
import java.util.Scanner; public class 图的bfs_迷宫 {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
int m = 21;
int n = 32;
char[][] graph = new char[m][n];
int[][] vis = new int[m][n];// 标记哪些点已经被访问
Queue<Node> queue = new LinkedList<>();
for (int i = 0; i < m; i++) {
graph[i] = scanner.nextLine().toCharArray();
}
// for (int j = 0; j < graph.length; j++) {
// for (int k = 0; k < graph[j].length; k++) {
// System.out.print(graph[j][k]);
// }
// System.out.println();
// } Node start = new Node(0, 0, 0);
queue.add(start);
while (!queue.isEmpty()) {
Node poll = queue.poll();
int x = poll.x;
int y = poll.y;
int deep = poll.depth;
vis[x][y] = 1;// 标注为已访问
// 判断是否到达终点
if (x == m - 1 && y == n - 1) {// 走到出口
System.out.println(poll.depth);
break;
}
// 加四个邻居
if (x - 1 >= 0 && vis[x - 1][y] == 0 && graph[x - 1][y] == '.') {
queue.add(new Node(x - 1, y, deep + 1));
}
if (x + 1 < m && vis[x + 1][y] == 0 && graph[x + 1][y] == '.') {
queue.add(new Node(x + 1, y, deep + 1));
}
if (y - 1 >= 0 && vis[x][y - 1] == 0 && graph[x][y - 1] == '.') {
queue.add(new Node(x, y - 1, deep + 1));
}
if (y + 1 < n && vis[x][y + 1] == 0 && graph[x][y + 1] == '.') {
queue.add(new Node(x, y + 1, deep + 1));
}
}
} static class Node {
int x;
int y;
int depth; public Node(int x, int y, int depth) {
this.x = x;
this.y = y;
this.depth = depth;
}
}
}

运行结果:

  图的BFS----迷宫问题

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