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 is_composite(n):
    if n==1 or n==2 or n==3:
        return False
    elif n%6 == 5 or n%6 == 1:
        i=2
        while(i<int((n+1)/2)):
            if n%i==0:
                return True
            i+=1
        return False

    else :
        return True

n = int(input())


num = int(n/2)

#smaller
w = None
    #starting from 5 and then += 1 every time(correct)
    #starting from (23/2) => 11 and then -=1 every time(incorrrect)
number = 5
while(w == None):
    if is_composite(number):
        if is_composite(n - number):
            w = True
        else :
            number +=1
    else :
        number +=1
print(str(number) + ' ' + str(n-number))