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 isPrime(n) :
    if (n <= 1) :
        return False
    if (n <= 3) :
        return True
    if (n % 2 == 0 or n % 3 == 0) :
        return False
    i = 5
    while(i * i <= n) :
        if (n % i == 0 or n % (i + 2) == 0) :
            return False
        i = i + 6
    return True

n=input()
n=int(n)
if n>=12:
    if n%2==0:
        if isPrime(n/2)==False:
            print(int(n/2),' ', int(n/2))
        else:
            print(int((n-2)/2),' ',int((n+2)/2))
    else:
        b=n-4
        if isPrime(b)==False and isPrime(n-b)==False:
            print(int(b),' ',int(n-b))
        else:
            b=n-6
            if isPrime(b)==False and isPrime(n-b)==False:
                print(int(b),' ',int(n-b))
            else:
                b=n-8
                if isPrime(b)==False and isPrime(n-b)==False:
                    print(int(b),' ',int(n-b))