用深度优先搜索解迷宫问题

定义一个二维数组:

int maze[5][5] = {

	0, 1, 0, 0, 0,

	0, 1, 0, 1, 0,

	0, 0, 0, 0, 0,

	0, 1, 1, 1, 0,

	0, 0, 0, 1, 0,

};

它表示一个迷宫,其中的1表示墙壁,0表示可以走的路,只能横着走或竖着走,不能斜着走,要求编程序找出从左上角到右下角的路线。程序如下:

//By LYLtim



#include<stdio.h>

#include<stdlib.h>



const char

	Di[4] = {0,1,0,-1},

	Dj[4] = {1,0,-1,0};



char maze[5][5] = {

	2, 1, 0, 0, 0,

	0, 1, 0, 1, 0,

	0, 0, 0, 0, 0,

	0, 1, 1, 1, 0,

	0, 0, 0, 1, 0},

	ip = 0;



struct {char i, j;} path[23];



void print_maze(void)

{

	char i, j;

	for (i = 0; i < 5; i++) {

		for (j = 0; j < 5; j++)

			printf("%hd ", maze[i][j]);

		putchar('\n');

	}

	printf("*********\n");

}



void print_path(void)

{

	char i = 0;

	printf("(0,0)");

	for (i = 0; i < ip; i++)

		printf("->(%hd,%hd)", path[i].i, path[i].j);

	exit(0);

}



void try(char i, char j)

{

	char k;

	for (k = 0; k < 4; k++) {

		char Ni = i + Di[k], Nj = j + Dj[k];

		if (Ni >= 0 && Ni <5 && Nj >= 0 && Nj < 5 && maze[Ni][Nj] == 0) {

			maze[Ni][Nj] = 2;

			path[ip++].i = Ni; path[ip].j = Nj;

			print_maze();

			if (Ni == 4 && Nj == 4)

				print_path();

			else

				try(Ni, Nj);

			maze[Ni][Nj] = 0;

			path[--ip].i = 0; path[ip].j = 0;

		}

	}

}

		



int main(void)

{

	try(0, 0);

	return 0;

}

 

运行结果如下:

2 1 0 0 0 
2 1 0 1 0
0 0 0 0 0
0 1 1 1 0
0 0 0 1 0
*********
2 1 0 0 0
2 1 0 1 0
2 0 0 0 0
0 1 1 1 0
0 0 0 1 0
*********
2 1 0 0 0
2 1 0 1 0
2 2 0 0 0
0 1 1 1 0
0 0 0 1 0
*********
2 1 0 0 0
2 1 0 1 0
2 2 2 0 0
0 1 1 1 0
0 0 0 1 0
*********
2 1 0 0 0
2 1 0 1 0
2 2 2 2 0
0 1 1 1 0
0 0 0 1 0
*********
2 1 0 0 0
2 1 0 1 0
2 2 2 2 2
0 1 1 1 0
0 0 0 1 0
*********
2 1 0 0 0
2 1 0 1 0
2 2 2 2 2
0 1 1 1 2
0 0 0 1 0
*********
2 1 0 0 0
2 1 0 1 0
2 2 2 2 2
0 1 1 1 2
0 0 0 1 2
*********
(0,0)->(1,0)->(2,0)->(2,0)->(2,1)->(2,2)->(2,3)->(3,4)->(4,4)

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