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())
p=n//2
for j in range(n//2):
    if n%2==0:
        a=n//2+j
        b=n//2-j
    elif n%2!=0:
        a=n//2+j+1
        b=n//2-j
    t=0
    if a%2==0 or a%3==0 or a%5==0 or a%7==0:
        if a!=2 and a!=3 and a!=5 and a!=7:
            t+=1
    if b%2==0 or b%3==0 or b%5==0 or b%7==0:
        if b!=2 and b!=3 and b!=5 and b!=7:
            t+=1
    if t==2:
        print(a,b)
        break