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 PYTHON3):

Solution:
import sys
import math


def is_composite_number(x):
    if x < 4:
        return False
    if x % 2 == 0:
        return True
    for i in range(3, int(math.sqrt(x))+1, 2):
        if x % i == 0:
            return True
    return False


def solve(input_path=None):
    if input_path is None:
        f = sys.stdin
    else:
        f = open(input_path, 'r')

    n = int(f.readline())
    for i in range(n//2, 0, -1):
        if is_composite_number(i) and is_composite_number(n-i):
            print(f"{i} {n-i}")
            break


if __name__ == '__main__':
    solve()