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())
if n % 2 == 0:
    x = n // 2
    y = n // 2
else:
    x = n //2
    y = n -x
lx = [x]
ly = [y]
while x+y==n:
    i = 1
    while i <= x//2:
        if x % i == 0:
            lx.append(i)
        i += 1
    i = 1
    while i <= y//2:
        if y % i == 0:
            ly.append(i)
        i += 1
    if len(lx)>2 and len(ly)>2:
        print(x,y)
        break
    else:
        x+=1
        y-=1
        lx = [x]
        ly = [y]