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>
using namespace std;

const int MAX = 100001;
char p[MAX] = {0};

int main(){
	for(int i=2 ; i < MAX ; i++ ) p[i] = 1;
	for(int i=2 ; i*i < MAX ; i++ ){
		if( p[i] ){
			for(int j=i+i ; j < MAX ; j += i ){
				p[j] = 0;
			}
		}
	}
	
	int n;
	while( cin >> n , n ){
		int a, b;
		for(int i=2 ; i <= n ; i++ ){
			if( p[i-2] && p[i] ){
				a = i-2;
				b = i;
			}
		}
		cout << a << " " << b << endl;
	}
}