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;

int main() {
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  constexpr int max = 10000;
  vector<bool> isPrime(max, true);
  isPrime[0] = isPrime[1] = false;
  for (int i = 2; i * i < max; i++) {
    if (isPrime[i]) {
      for (int j = i * 2; j < max; j += i) {
        isPrime[j] = false;
      }
    }
  }
  int n;
  while (cin >> n, n) {
    for (int i = n; i >= 5; i--) {
      if (isPrime[i] && isPrime[i - 2]) {
        cout << i - 2 << " " << i << "\n";
        break;
      }
    }
  }
}
