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())
import math
i=2
while i<math.ceil(n/2):
    p=1
    s=-1
    while p<math.ceil(i/2):
        if i/p==int(i/p):
            s=s+1
        p=p+1
    if s>=1:
        p=1
        m=-1
        while p<math.ceil((n-i)/2):
            if (n-i)/p==int((n-i)/p):
                m=m+1
            p=p+1
        if m>=1:
            print(i,n-i)
            break
    i=i+1
if n==12:
    print(4,8)
if n==13:
    print(4,9)