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:
a=int(raw_input(""))
d=0
f=1
if(a%2==0):
	x=a/2
	y=a-x
	if(x%2!=0):
		x=x+1
	if(y%2!=0):
		y=y-1
else:
	x=a/3
	y=a-x
	while(0<f and f<2):
		for z in range(2,(x-1)):
			if(x%z==0):
				d=d+1
        	if(d==1 or d>1):
            		x=x+0
        	else:
            		x=x+1
        	y=a-x
        	d=0
		for z in range(2,(y-1)):
			if(y%z==0):
		        	d=d+1
		if(d==1 or d>1):
			y=y+0
		else:
			y=y-1
		if((x+y)==a):
		    f=f+1
		else:
		    x=x+1
		    y=y-1
print(x)
print(y)