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 criba_eratostenes(n):
  A = []
  multiplos = set()
  for i in range(2, n+1):
    if i not in multiplos:
      A.append(i)
      multiplos.update(range(i*i, n+1, i))
  return A

n = int(input())
C = criba_eratostenes(n)
a = 0
b = 0
k = 4
while(k<n):
    if k not in C:
        if n-k not in C:
            a = k
            b = n-k
            k = n
        else:
            k+=1
    else:
        k+=1
print(str(a)+" "+str(b))