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:
class TaskA(object):
    def __init__(self):
        self.n = int(input())
        self.solve()

    pass

    def solve(self):
        a = self.prime_numbers()
        for i in range(4, self.n):
            if i not in a:
                x = self.n - i
                if x not in a:
                    print(i, x)
                    return

    pass

    def prime_numbers(self):
        a = [x for x in range(2, self.n + 1)]
        b = [True] * len(a)
        c = dict(zip(a, b))
        for x in c.keys():
            if c[x]:
                end = self.n // x
                for i in range(2, end + 1):
                    c[x * i] = False

        out = list()
        for x, y in c.items():
            if y:
                out.append(x)
        return out
        pass


def main():
    TaskA()
    pass


if __name__ == '__main__':
    main()