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:
# coding=utf-8

if __name__ == '__main__':
    n = int(input())
    q = int(n / 12)
    d = n - 12 * q
    if d == 0:
        print(str(6 * q) + ' ' + str(6 * q))
    elif d == 1:
        print(str(9 * q) + ' ' + str(3 * q + 1))
    elif d == 2:
        print(str(4 * q) + ' ' + str(8 * q + 2))
    elif d == 3:
        print(str(6 * q) + ' ' + str(6 * q + 3))
    elif d == 4:
        print(str(4 * q) + ' ' + str(8 * q + 4))
    elif d == 5:
        print(str(6 * q + 2) + ' ' + str(6 * q + 3))
    elif d == 6:
        print(str(6 * q + 3) + ' ' + str(6 * q + 3))
    elif d == 7:
        print(str(6 * q + 4) + ' ' + str(6 * q + 3))
    elif d == 8:
        print(str(4 * q) + ' ' + str(8 * q + 8))
    elif d == 9:
        print(str(6 * q + 6) + ' ' + str(6 * q + 3))
    elif d == 10:
        print(str(4 * q) + ' ' + str(8 * q + 10))
    elif d == 11:
        print(str(6 * q + 8) + ' ' + str(6 * q + 3))