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:
n=int(input())
def fun(x):
	for n in range(3,x//2,2):
		if x%n ==0 :
			return False
	return True

if n%2 == 0:
	if n%4 == 0:
		print(int(n/2),int(n/2))
		exit()
	else:
		print(int(n/2+1),int(n/2-1))
		exit()
else:
	x = n//2
	y = n//2 + 1
	if x%2 != 0:

		while True:
			if fun(x) == False:
				print(x,y)
				exit()
			else :
				x = int(x+2)
				y = int(y-2)
	else:

		while True:
			if fun(y) == False:
				print(x,y)
				exit()
			else :
				x = x-2
				y = y+2