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:
# coding: utf-8
def sieve_of_eratosthene(N):

    # Lista de números primos:
    numbers = []

    # Cria-se uma lista referente a todos os inteiros entre 0 e N:
    A = [True] * (N+1)

    # Define os números 0 e 1 como não primos:
    A[0] = A[1] = False

    # Percorra a lista até encontrar o primeiro número primo:
    for value, prime in enumerate(A):

        # O número é primo?
        if prime:

            # Retorna o número primo:
            numbers.append(value)

            # Remova da lista todos os múltiplos do número enontrado:
            for i in range(value**2, N+1, value):
                A[i] = False

    return numbers


n = input()
lista = sieve_of_eratosthene(n)


d = (n-1)/2
d2 = n - d

if (d not in lista and d2 not in lista):
	print("%d %d" %(d,d2))
    
else:
	while (True):
		d= d + 1
		d2 = n - d
			
		if (d in lista or d2 in lista):
			continue
		else:
			break
	print("%d %d" %(d,d2))