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:
n = int(raw_input())

def Check_Composite(number) :

    Found_Composite = 0

    for x in range(2,number/2+1) :

        if number % x == 0 :

            Found_Composite = 1
            break

    return Found_Composite

def Calculation(a, b) :

    c = 0

    if a % 2 != 0 :

        c = Check_Composite(a)

    else :

        c = Check_Composite(b)

    return c


def Print_Answer(a, b) :

    print str(a)+' '+str(b)

a = n/2
b = n - a

while True :

    if n % 2 == 0 :

        if Check_Composite(a) == 1 :
        
            Print_Answer(a, b)
            break

        else :

            c = Calculation(a, b)

            if c != 1 :

                a = a + 1
                b = b - 1

            else :

                Print_Answer(a,b)
                break

    else :

        c = Calculation(a, b)

        if c != 1 :

            a = a + 1
            b = b - 1

        else :

            Print_Answer(a,b)
            break