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 <bits/stdc++.h>
using namespace std;

vector<int> sieve_of_eratosthenes(int n) {
  vector<int> primes(n);
  for (int i = 2; i < n; ++i)
    primes[i] = i;
  for (int i = 2; i*i < n; ++i)
    if (primes[i])
      for (int j = i*i; j < n; j+=i)
        primes[j] = 0;
  return primes;
}

int main() {
  int a;
  while (cin >> a, a) {
    vector<int> p = sieve_of_eratosthenes(a + 1);
    for (int i = a; i > 2; --i) {
      if (p[i - 2] && p[i]) {
        cout << i - 2 << ' ' << i << endl;
        break;
      }
    }
  }
  return 0;
}

