Prime Ring Problem
1 #include<stdio.h> 2 #include<string.h> 3 4 int prime[38]={0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1}; 5 int visit[21],result[21]; 6 int n; 7 8 int dfs(int num) 9 { 10 int print(int m); 11 int i; 12 if(num==n && prime[result[num]+result[1]]) 13 print(num); 14 else 15 { 16 for(i=2;i<=n;i++) 17 { 18 if(prime[result[num]+i] && !visit[i]) 19 { 20 result[num+1]=i; 21 visit[i]=1; 22 dfs(num+1); 23 visit[i]=0; 24 } 25 } 26 } 27 return 0; 28 } 29 30 int print(int m) 31 { 32 int i; 33 printf("%d",result[1]); 34 for(i=2;i<=m;i++) 35 printf(" %d",result[i]); 36 printf("\n"); 37 return 0; 38 } 39 40 int main() 41 { 42 int i=1; 43 while(scanf("%d",&n)==1) 44 { 45 printf("Case %d:\n",i++); 46 memset(visit,0,sizeof(visit)); 47 visit[1]=1; 48 result[1]=1; 49 dfs(1); 50 printf("\n"); 51 } 52 return 0; 53 }
//主要是利用深搜算,重点在深搜部分,result[num+1]=i; visit[i]=1; dfs(num+1); visit[i]=0;这几句很重要,result[num+1]不能写成result[++num]
//因为当回溯时,num的值不能变。