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 math 
global d 

def is_prime(a):
	if a == 1:
		return False
	if a==2:
		return True
	if(a%2==0):
		return False
	y= int(math.sqrt(a))
	for x in range(3,y+1,2):
		if a%x==0:
			return False
	return True
def main():

	d={}
	a = int(input())
	for z in range(3,a):

		if z not in d:
			b = not is_prime(z)
		if  b:
			d[z]=z
		if (a-z) not in d:
			c = not is_prime(a-z)
		if c:
			d[a-z]=a-z
		if (c or ((a-z) in d)) and (b or (z in d)):
			print(str(z)+" "+str(a-z))
			return True

	return False

main()