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:
import sys

def isPrime(n):
    for i in range(2, int(n ** 0.5) + 1):
        if n % i == 0:
            return False

    return True

def match(x,y):
    if isPrime(x) == False and isPrime(y) == False:
        return True
    else:
        return False

def findComposites(n):
    if n%2 == 0:
        pivot1 = int(n/2) - 1
        pivot2 = pivot1 + 2
        while (match(pivot1, pivot2) != True):
            pivot1 -= 1
            pivot2 += 1

        print(("%s %s") %(pivot1, pivot2))

    else:
        pivot1 = int(n/2)
        pivot2 = pivot1 +1
        while (match(pivot1, pivot2) != True):
            pivot1 -= 1
            pivot2 += 1

        print(("%i %i") % (pivot1, pivot2))
			
findComposites(int(sys.stdin.readline()))