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:
#Question Name --> Design Tutorial: Learn from Math
x = input()
if(x%2 == 0):
	if((x/2)%2 == 0):
		print str(x/2)+" "+str(x/2)
	else:
		print str((x/2)-1)+" "+str((x/2)+1)
else:
	a = x/2
	b = a+1
	if(a%2 == 0):
		w = b%3
		if(w%2 == 0):
			b = b-w
			a = a+w
		else:
			b = b+(3-w)
			a = a-(3-w)
	else:
		w = a%3
		if(w%2 == 0):
			a = a-w
			b = b+w
		else:
			a = a+(3-w)
			b = b-(3-w)
	print str(a)+" "+str(b)