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 prime(a):

    if a == 1:
        return False
    else:

        count = 0

        i = 2
        while i < ((a//2)+1):
            if a % i == 0:
                count += 1
                break
            else:
                i += 1
        if count == 0:
            return True
        else:
            return False


num=int(input())
if num%2==0 and prime(num//2)==False and prime(num//2)==False:
    print(num//2,num//2)
else:
    i=4
    a=1
    while a>0:
        a=num-i
        if prime(a)==False and prime(i)==False:

            print(a,i)
            break

        i+=1