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 PYTHON):

Solution:
r = int(raw_input())
if r < 12:
    exit(0)

def composite(x):
    i = 2

    while i < x:
        if x % i == 0:
            return 0
            break
        i += 1
    if i == x:
        return 1

if r % 2 == 0:
    if r%4 == 0:
        print r/2 , r/2
    else:
        print r/2+1 , r/2-1
        exit(0)
else:
    a =r/2
    b =(r/2)+1
    while True:
        p =0
        q = 0
        p = composite(a)
        q = composite(b)
        if p == 0 and q == 0:
            print a , b
            exit(0)
        a = a-1
        b = b+1