Problem: One way to create a task is to learn from math. You can generate some random math statement or modify some theorems to get something new and build a new task from that.

For example, there is a statement called the "Goldbach's conjecture". It says: "each even number no less than four can be expressed as the sum of two primes". Let's modify it. How about a statement like that: "each integer no less than 12 can be expressed as the sum of two composite numbers." Not like the Goldbach's conjecture, I can prove this theorem.

You are given an integer n no less than 12, express it as a sum of two composite numbers.

Input

The only line contains an integer n (12 ≤ n ≤ 106).

Output

Output two composite integers x and y (1 < x, y < n) such that x + y = n. If there are multiple solutions, you can output any of them.

Examples

Input

12


Output

4 8


Input

15


Output

6 9


Input

23


Output

8 15


Input

1000000


Output

500000 500000

Note

In the first example, 12 = 4 + 8 and both 4, 8 are composite numbers. You can output "6 6" or "8 4" as well.

In the second example, 15 = 6 + 9. Note that you can't output "1 14" because 1 is not a composite number.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int primes[] = {2,   3,   5,   7,   11,  13,  17,  19,  23,  29,  31,  37,  41,
                43,  47,  53,  59,  61,  67,  71,  73,  79,  83,  89,  97,  101,
                103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167,
                173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239,
                241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313,
                317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397,
                401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467,
                479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569,
                571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643,
                647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733,
                739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823,
                827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911,
                919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997};
int main() {
  int n, a[1001] = {0};
  for (int i = 0; i < sizeof(primes) / sizeof(int); i++) {
    a[primes[i]] = 1;
  }
  cin >> n;
  if (n % 2 == 0) {
    cout << 4 << " " << n - 4 << endl;
  } else {
    cout << 9 << " " << n - 9 << endl;
  }
  return 0;
}