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:
import sys
if False:
    input = open('composites.txt', 'r')
else:
    input = sys.stdin

n = int(input.readline())

summand1 =[]
summand2 = []

for i in range(4,n-3):
	summand1.append(i)
	summand2.append(n-i)

def primecheck(number):
	for divisor in range(2,number):
		a = number%divisor
		if a == 0:
			return False
	return True

for x in range(len(summand1)):
	if primecheck(summand1[x]) == False:
		if primecheck(summand2[x]) == False:
				print (summand1[x],summand2[x])
				break