Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are twin prime pairs.

In this problem, we call the greater number of a twin prime "size of the twin prime."

Your task is to create a program which reads an integer n and prints a twin prime which has the maximum size among twin primes less than or equals to n

You may assume that 5 ≤ n ≤ 10000.



Input

The input is a sequence of datasets. The end of the input is indicated by a line containing one zero. Each dataset is formatted as follows:


n (integer)


Output

For each dataset, print the twin prime p and q (p < q). p and q should be separated by a single space.

Example

Input

12
100
200
300
0


Output

5 7
71 73
197 199
281 283
#include <iostream>
#include <cmath>
using namespace std;

int dummy_prime(int n,int i){return i>1 ? n%i ? dummy_prime(n,i-1) : 0 : 1;}
int isprime(int n){return n>1 ? dummy_prime(n,(int)sqrt(n)) : 0;} 

int main(){
	int n;
	while(cin >> n && n){
		while(n>4){
			if(isprime(n) && isprime(n-2)){
				cout << n-2 << " " << n << endl;
				break;
			}
			n--;
		}
	}
}