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
def get_primes(n):
  #start of prime number calculation
  m = n+1
  numbers = [True for i in range(m)]
  for i in range(2, int(math.sqrt(n))):
    if numbers[i]:
      for j in range(i*i, m, i):
        numbers[j] = False
  primes = []
  for i in range(2, m):
    if numbers[i]:
      primes.append(i)
  return primes
  #end of prime number calculation
a = int(input())
if a % 2 == 0:
	a = a // 2
	if a % 2 != 0:
		l = a + 1
		r = a - 1
		print(str(l) + " " + str(r))
	else:
		print(str(a) + " " + str(a))
else:
	prima = get_primes(1000000)
	l = a // 2
	r = l + 1
	while l in prima or r in prima:
		l -= 1
		r += 1
	print(str(l) + " " + str(r))