广度优先搜索实现走迷宫问题（c++实现）

广度优先搜索可以找到最短的走出迷宫的路径，看能不能走出迷宫很简单，由于广度优先搜索总是找到离某点最近的下一个点，找到的路径一定是最短路径，详见算法笔记上关于广度优先搜索的介绍，问题是如何输出走出迷宫的路径，我们可以申请一个和迷宫一样大的储存点信息的path二维数组，path中的任意元素为到达他之前的点的信息，然后输出path即可。

代码如下：

#include"pch.h"
#include
#include
#include
#include
#include
using namespace std;

//生成迷宫
const int HEIGHT = 10;
const int WIDTH = 10;
bool isFound = false;
int maze[HEIGHT][WIDTH];
void initialMaze()
{
	maze[0][0] = 0;//入口
	maze[HEIGHT - 1][WIDTH - 1] = 0;//出口
	for (int i = 0; i < HEIGHT; i++)//用随机数0,1填充迷宫
	{
		for (int j = 0; j < WIDTH; j++)
		{
			if (i == 0 && j == 0)
				continue;
			if (i == HEIGHT - 1 && j == WIDTH - 1)
				continue;
			maze[i][j] = rand() % 2;
		}
	}
	//展示生成的迷宫
	for (int i = 0; i < HEIGHT; i++)
	{
		for (int j = 0; j < WIDTH; j++)
		{
			cout << maze[i][j];
			if (j != WIDTH - 1)
			{
				cout << " ";
			}
			else
			{
				cout << endl;
			}
		}
	}
}
//生成方向
int directory[8][2] = { {0,1},{1,1},{1,0},{1,-1},{0,-1},{-1,-1},{-1,0},{-1,1} };
//判断是否越界
bool isLeap(int x, int y)
{
	return x >= 0 && x < WIDTH&&y >= 0 && y < HEIGHT;

}
//任意位置的结构体
struct point {
	int x;
	int y;
};
//声明用于存储路径的结构体
struct dir
{
	int x;
	int y;
	int d;
};
//声明用于存储路径的队列
queue directoryQueue;
//迷宫循迹
dir path[HEIGHT][WIDTH];//记录迷宫的路径
int output[HEIGHT*WIDTH][3];
void mazeTravel(point start, point end, int maze[HEIGHT][WIDTH], int directory[8][2])
{
	dir element;
	dir tmp;
	int i;
	int j;
	int d;
	int a;
	int b;
	element.x = start.x;
	element.y = start.y;
	element.d = -1;
	maze[start.x][start.y] = 2;
	directoryQueue.push(element);
	while (!directoryQueue.empty())
	{
		element = directoryQueue.front();
		dir m = element;
		directoryQueue.pop();
		i = element.x;
		j = element.y;
		d = element.d + 1;
		
		while (d < 8)
		{
			a = i + directory[d][0];
			b = j + directory[d][1];
			if (a == end.x&&b == end.y&&maze[a][b] == 0)
			{
                                //储存前一个点的信息至path
				dir temp = m;
				temp.d = d;
				path[a][b] = temp;

				isFound = true;
				return;
			}
			if (isLeap(a, b)&&maze[a][b]==0)
			{
                                //储存前一个点的信息至path
				dir temp = m;
				temp.d = d;
				path[a][b] = temp;

				maze[a][b] = 2;
				element.x = a;
				element.y = b;
				element.d = -1;
				directoryQueue.push(element);
			}
			d++;
		}
	}
}
void printPath(point start, point end)
{
	if (!isFound)
		printf_s("The path is not found");
	else
	{
		int step = 0;
		dir q;
		q.x = end.x;
		q.y = end.y;
		q.d = 886;
		while (q.x != start.x || q.y != start.y)
		{
			output[step][0] = q.x;
			output[step][1] = q.y;
			output[step][2] = q.d;
			int x = q.x;
			int y = q.y;
			q.x = path[q.x][q.y].x;
			q.y = path[x][q.y].y;
			q.d = path[x][y].d;
			step++;
		}
		output[step][0] = q.x;
		output[step][1] = q.y;
		output[step][2] = q.d;
		printf_s("The path is as follows: \n");
		for (int i = step; i >= 0; i--)
		{
			printf_s("(%d,%d)", output[i][0], output[i][1]);
			if (i != 0)
				printf_s("->");
		}
		printf_s("\n");
	}
}
int main()
{
	srand(time(0));
	initialMaze();
	point a, b;
	a.x = 0;
	a.y = 0;
	b.x = HEIGHT - 1;
	b.y = WIDTH - 1;
	mazeTravel(a, b, maze, directory);
	printPath(a, b);
	return 0;
}

实现效果如下(1代表围墙，0代表空地)