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:
import math
__author__ = 'widoc'


def check_for_div(x):
    cnt = 1
    for i in range(2, math.floor(x // 2) + 1):
        if x % i == 0:
            cnt += 1
        if cnt >= 2:
            return True
    return False

def check_val(a, b):
    while True:
        if a == 1:
            return None
        if check_for_div(a) and check_for_div(b):
            return [a, b]
        else:
            a -= 1
            b += 1


n = int(input())
a = b = 0

if n % 2 == 0:
    a = b = n // 2
else:
    a = (n+1) // 2
    b = n - a

res = check_val(a, b)
if res:
    print("{0} {1}".format(res[0], res[1]))