算法分析——走迷宫问题

 1 #include <stdio.h>
 2 
 3 int visit(int i , int j);
 4 
 5 int maze[7][7] = {
 6         {2,2,2,2,2,2,2},
 7         {2,0,0,0,0,0,2},
 8         {2,0,2,0,2,0,2},
 9         {2,0,0,2,0,2,2},
10         {2,2,0,2,0,2,2},
11         {2,0,0,0,0,0,2},
12         {2,2,2,2,2,2,2},
13     };
14 int si = 1 , sj = 1 ;
15 int ei = 5 , ej = 5 ;
16 int success = 0 ;
17 
18 int main()
19 {
20     
21     int i , j ;
22 
23     printf("Display the maze :\n");
24     for(i = 0 ; i < 7 ; i++)
25     {
26         for(j = 0 ; j < 7 ; j++)
27         {
28             if(maze[i][j] == 2)
29             {
30                 printf("■");
31             }
32             else
33             {
34                 printf("  ");
35             }
36         }
37         printf("\n");
38     }
39 
40     if(visit(si , sj) == 0)
41     {
42         printf("\nNot found exit !");
43     }
44     else
45     {
46         printf("Display the maze :\n");
47         for(i = 0 ; i < 7 ; i++)
48         {
49             for(j = 0 ; j < 7 ; j++)
50             {
51                 if(maze[i][j] == 2)
52                 {
53                     printf("■");
54                 }
55                 else if(maze[i][j] == 1)
56                 {
57                     printf("◇");
58                 }
59                 else 
60                 {
61                     printf("  ");
62                 }
63             }
64             printf("\n");
65         }
66     }
67 　　 return 0 ;
68 }
69 
70 int visit(int i , int j)
71 {
72     maze[i][j] = 1 ;
73     
74     if(i == ei && j == ej)
75     success = 1 ;
76     
77     if(success != 1 && maze[i][j + 1] == 0) 
78     visit(i , j + 1);
79     if(success != 1 && maze[i + 1][j] == 0)
80     visit(i + 1 , j);
81     if(success != 1 && maze[i - 1][j] == 0)
82     visit(i - 1 , j);
83     if(success != 1 && maze[i][j - 1] == 0)
84     visit(i , j - 1);
85 
86     if(success != 1)
87     maze[i][j] == 0 ;
88 
89     return success ;
90 }

显示所有路径：

 1 #include <stdio.h>
 2 
 3 int visit(int i , int j);
 4 
 5 int maze[9][9] = {
 6     {2, 2, 2, 2, 2, 2, 2, 2, 2}, 
 7     {2, 0, 0, 0, 0, 0, 0, 0, 2}, 
 8     {2, 0, 2, 2, 0, 2, 2, 0, 2}, 
 9     {2, 0, 2, 0, 0, 2, 0, 0, 2}, 
10     {2, 0, 2, 0, 2, 0, 2, 0, 2}, 
11     {2, 0, 0, 0, 0, 0, 2, 0, 2}, 
12     {2, 2, 0, 2, 2, 0, 2, 2, 2}, 
13     {2, 0, 0, 0, 0, 0, 0, 0, 2}, 
14     {2, 2, 2, 2, 2, 2, 2, 2, 2},
15 }; 
16 
17 int si = 1 , sj = 1 ;
18 int ei = 7 , ej = 7 ;
19 int success = 0 ;
20 
21 int main()
22 {
23 
24     int i , j ;
25 
26     printf("Display the maze :\n");
27     for(i = 0 ; i < 9 ; i++)
28     {
29         for(j = 0 ; j < 9 ; j++)
30         {
31             if(maze[i][j] == 2)
32             {
33                 printf("█");
34             }
35             else
36             {
37                 printf("  ");
38             }
39         }
40         printf("\n");
41     }
42 
43     visit(si , sj) ;
44 
45     return 0 ;
46 }
47 
48 int visit(int i , int j)
49 {
50     int m , n ;
51     maze[i][j] = 1 ;
52 
53     if(i == ei && j == ej)
54     {
55         printf("Display the maze :\n");
56         for(m = 0 ; m < 9 ; m++)
57         {
58             for(n = 0 ; n < 9 ; n++)
59             {
60                 if(maze[m][n] == 2)
61                 {
62                     printf("█");
63                 }
64                 else if(maze[m][n] == 1)
65                 {
66                     printf("◇");
67                 }
68                 else 
69                 {
70                     printf("  ");
71                 }
72             }
73             printf("\n");
74         }
75         success = 1 ;
76     }
77     
78 
79     if(maze[i][j + 1] == 0) 
80         visit(i , j + 1);
81     if(maze[i + 1][j] == 0)
82         visit(i + 1 , j);
83     if(maze[i - 1][j] == 0)
84         visit(i - 1 , j);
85     if(maze[i][j - 1] == 0)
86         visit(i , j - 1);
87 
88     maze[i][j] = 0 ;
89 
90     return success ;
91 }