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:

n =int(input())


if(n%2==0):
    if(n/2)%2==0:
        print(int(n/2), int(n/2))
    else:
        print(int((n/2)-1), int((n/2)+1))
else:
    a = 4
    b = int(n-a)
    con2 = 0
    for i in range(2,b):
        if(b%i==0):
            con2 = 1
    if(con2!=0):
        print(int(a),int(b))
    else:
        con = 0
        for i in range(2,b-2):
            if((b-2)%i==0):
                con = 1
        if(con!=0):
            print(int(a+2),int(b-2))
        else:
            print(int(a+4),int(b-4))