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:
n = int(input())

x = n // 2
y = n // 2 + n % 2

if x % 2 == 0 and y % 2 == 0:
	print str(x) + " " + str(y)
	exit(0)	
if y % 2 != 0:
	aux = x
	x = y
	y = aux
if x % 2 != 0:
	if y % 2 != 0:
		y -= 1
		x += 1
		print str(x) + " " + str(y)
		exit(0)
	else:
		if x % 3 == 0:
			print str(x) + " " + str(y)
			exit(0)
		y -= 2
		x += 2
		if x % 3 == 0:
			print str(x) + " " + str(y)
			exit(0)
		else:
			y -= 2
			x += 2
			print str(x) + " " + str(y)
			exit(0)