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:
def sieve(x):
	global c
	d = [True for i in range(x+6)]
	i = 2
	j = 0
	while i < x:
		j = 1
		if d[i]:
			while j*i < x:
				d[j*i] = False
				j += 1
			c.append(i)
		i += 1

n = int(input())
c = []

sieve(n+4)
i = 4
while i*2 < n:
	b = True
	j = n-i
	for z in c:
		if j == z:
			b = False
			break
	if b:
		break
	i += 2
print(str(i)+" "+str(j))