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:
def is_Prime(n):
    if n % 2 == 0 and n != 2:
        return False
    d = 3
    while (d *d <= n and n % d != 0):
        d +=2
    return d *d > n

n = int(input())

if n % 2 == 0 and not is_Prime(n // 2):
    print(n // 2, n //2)
    exit()

if n % 2 == 0:
    num1, num2 = n//2, n//2
else:
    num1, num2 = n // 2, n // 2 + 1

while is_Prime(num1) or is_Prime(num2):
    num1 -= 1
    num2 += 1
print(num1, num2)