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:
n = int(input())
n1 = 0
n2 = 0

for x in range(n):
    n1 = x
    n2 = n - x
    
    count1 = 0
    for y in range(1, n1 + 1):
        if n1 % y == 0:
            count1 += 1
        if count1 > 2:
            break
    
    count2 = 0
    for z in range(1, n2 + 1):
        if n2 % z == 0:
            count2 += 1
        if count2 > 2:
            break
            
    if count1 > 2 and count2 > 2:
        break
        
print(n1, n2)