USACO Superprime Rib
Butchering Farmer John's cows always yields the best prime rib. You can tell prime ribs by looking at the digits lovingly stamped across them, one by one, by FJ and the USDA. Farmer John ensures that a purchaser of his prime ribs gets really prime ribs because when sliced from the right, the numbers on the ribs continue to stay prime right down to the last rib, e.g.:
7 3 3 1
The set of ribs denoted by 7331 is prime; the three ribs 733 are prime; the two ribs 73 are prime, and, of course, the last rib, 7, is prime. The number 7331 is called a superprime of length 4.
Write a program that accepts a number N 1 <=N<=8 of ribs and prints all the superprimes of that length.
The number 1 (by itself) is not a prime number.
Input
A single line with the number N.
Output
The superprime ribs of length N, printed in ascending order one per line.
Sample Input
4
Sample Output
2333 2339 2393 2399 2939 3119 3137 3733 3739 3793 3797 5939 7193 7331 7333 7393
#include <iostream>
using namespace std;
int Head_Num[5]={2,3,5,7},Tail_Num[5]={1,3,7,9};
int n;
int check(int x)
{
int i,j;
if(x==2)
{
return 1;
}
if(x%2==0)
{
return 0;
}
for(i=2;i*i<=x;i++)
{
if(x%i==0)
{
return 0;
}
}
return 1;
}
void DFS(int Num,int N)
{
int i,j;
if(N==n)
{
if(check(Num))
{
cout<<Num<<endl;
}
return ;
}
for(j=0;j<4;j++)
{
if(check(Num*10+Tail_Num[j]))
{
DFS(Num*10+Tail_Num[j],N+1);
}
}
}
int main()
{
cin>>n;
DFS(2,1);
DFS(3,1);
DFS(5,1);
DFS(7,1);
return 0;
}