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:
from sys import stdin


def main():
    n = n0 = int(stdin.readline())
    scale = 1
    while not (n & 1):
        scale *= 2
        n //= 2
    if n < 13:
        if n > 1:
            scale *= 2
        return scale, n0 - scale
    lim2 = n // 2 - 1
    sieve = [True] * lim2
    for i in range(lim2 // 3 + 1):
        if sieve[i]:
            p, pp = 2 * i + 3, (i + 3) * i * 2 + 3
            sieve[pp::p] = [False for j in range(pp, lim2, p)]
    for i, f in enumerate(sieve):
        if not f:
            x = (i * 2 + 3) * scale
            return x, n0 - x


print(*main())