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:
def composite(number):
	divisor=2
	flag=False
	while (divisor<number): 
		if(number%divisor==0):
			flag=True
			break
		else:
			divisor+=1	
	return flag		


if __name__=='__main__':
	n=int(raw_input())
	flag=False
	if(n%2==0):
		print "4"+" "+str(n-4)
	else:
		test=4
		while (flag!=True): 
			flag=composite(n-test)	
			if (flag):
				print str(test)+" "+str(n-test)
				exit
			else:
				test+=2