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())
ans = 0
if n % 2 ==0:
    k = n // 2 - 1
    g = n // 2 + 1
else:
    k = n // 2 - 0
    g = n // 2 + 1
i_k = 0
i_g = 0

while ans != n:
    if k % 1 == 0:
        i_k +=1    
    if k % 2 == 0:
        i_k +=1
    if k % 3 == 0:
       i_k +=1
    if k % 4 == 0:
        i_k +=1
    if k % 5 == 0:
       i_k +=1
    if k % 6 == 0:
        i_k +=1
    if k % 7 == 0:
       i_k +=1
    if k % 8 == 0:
        i_k +=1
    if k % 9 == 0:
        i_k +=1
    if g % 1 == 0:
        i_g +=1    
    if g % 2 == 0:
        i_g +=1
    if g % 3 == 0:
       i_g +=1
    if g % 4 == 0:
        i_g +=1
    if g % 5 == 0:
       i_g +=1
    if g % 6 == 0:
        i_g +=1
    if g % 7 == 0:
       i_g +=1
    if g % 8 == 0:
        i_g +=1
    if g % 9 == 0:
        i_g +=1
    if i_k > 2 and i_g > 2:
        break
    else:
        k -=1
        g +=1
    i_g = 0
    i_k = 0
print(k,g)