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:
import math
primes = []

def isPrime(n):
	if n in primes:
		return True
	if n == 2 or n == 3 or n == 5:
		return True
	for i in range(2, int(math.sqrt(n)) + 1):
		if n % i == 0:
			return False
	primes.append(n)
	return True
n = int(input().strip())

if n%2 == 0:
	print(str(4) + ' ' + str(n-4))
else:
	start = 4
	while True:
		if not isPrime(start) and not isPrime(n-start):
			print(str(start) + ' ' + str(n-start))
			break
		start += 1