0
点赞
收藏
分享

微信扫一扫

Z - 送一个dfs喽 深度搜索相加为质数

_鱼与渔_ 2022-06-29 阅读 48

A ring is compose of n circles as shown in diagram. Put natural number 1, 2, …, n into each circle separately, and the sum of numbers in two adjacent circles should be a prime.
Note: the number of first circle should always be 1.

Input
n (0 < n < 20).
Output
The output format is shown as sample below. Each row represents a series of circle numbers in the ring beginning from 1 clockwisely and anticlockwisely. The order of numbers must satisfy the above requirements. Print solutions in lexicographical order.
You are to write a program that completes above process.
Print a blank line after each case.
Sample Input
6
8
Sample Output
Case 1:
1 4 3 2 5 6
1 6 5 2 3 4
Case 2:
1 2 3 8 5 6 7 4
1 2 5 8 3 4 7 6
1 4 7 6 5 8 3 2
1 6 7 4 3 8 5 2

#include<stdio.h>
#include<string.h>
int n;
int a[1000];
int vis[1001];
bool judge(int xx)
{
int i;
int flag=1;
for(i=2; i<xx; i++)
if(xx%i==0)
{
flag=0;
break;
}
if(flag)
return 1;
return 0;
}
void dfs(int x,int cnt)
{
int i;
if(cnt==n)
{
if(judge(x+1))
{for(i=1; i<=n; i++)
{
if(i==n)
printf("%d\n",a[i]);
else printf("%d ",a[i]);
}
return ;
}
else return ;
}
for(i=2; i<=n; i++)
{
if(!vis[i])
{
if(judge(x+i))
{
vis[i]=1;
cnt++;
a[cnt]=i;
dfs(i,cnt);
vis[i]=0;
cnt--;
}
}
}
return ;
}
int main()
{
int ans=0;
while(~scanf("%d",&n))
{
printf("Case %d:\n",++ans);
memset(vis,0,sizeof(vis));
vis[1]=1;
a[1]=1;
dfs(1,1);
printf("\n");
}
return 0;
}


举报

相关推荐

0 条评论