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 PYTHON):

Solution:

from math import *
def codeforce():
    num=float(raw_input())
    x1=int(ceil(num/2))
    x2=int(floor(num/2))
    success1=False
    success2=False
    while not (success1 and success2):
        success1=False
        success2=False
        for i in range(int(floor(sqrt(x1)))-1):
            if (x1)%(i+2)==0:
                
                success1=True
                break
        for j in range(int(floor(sqrt(x2)))-1):
            if (x2)%(j+2)==0:
                success2=True
                break
        if success1 and success2:
            print x1,x2
            break
        else:
            x1+=1
            x2-=1
        if x2<4:
            break
if __name__=="__main__":
    codeforce()