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<cstdio>
#include<iostream>
using namespace std;
int main(){
  //ツ素ツ青板青カツ青ャ
  const int NUM = 10001;
  bool prime[NUM];
  prime[0] = false;
  prime[1] = false;
  for(int i=2;i<NUM;i++)
    prime[i] = true;
  for(int i=2;i*i<NUM;i++)
    for(int k=2;i*k<NUM;k++)
      prime[i*k]=false;

  int maxtwin[10001],twin;
  for(int i=5;i<10001;i++){
    if(prime[i]&&prime[i-2])twin = i;
    maxtwin[i]=twin;
  }
  for(int n;scanf("%d",&n),n;){
    cout<<maxtwin[n]-2<<" "<<maxtwin[n]<<endl;
  }
  return 0;
}