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:
def pri_check(a):
    from math import sqrt
    if a > 3:
        num = a
        end = int(sqrt(num)) + 1
        check = True
        for x in range(2, end):
            if num % x == 0:
                check = False
                break
        if check and num != 1:
            return False
        else:
            return True
    else:
        return False

def main():
    a=int(input())
    for i in range (0,a):
        b=a-i
        if pri_check(b) and pri_check(i):
            out=str(b)+' '+str(i)
            print(out)
            break


if __name__ == '__main__':
    main()