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 gcd(a):
    i = 1  # Счетчик
    mas = []  # Массив
    while i ** 2 <= a:  # Пока счетчик в квадрате меньше одного из значений:
        if a % i == 0:  # Если оба значения делятся на счетчик без остатка:
            mas.append(i)  # Добавляем в массив это число (счетчик)
            # Если счетчик не равен делению нацело обоих значений и макс. из значений делится без остатвка на мин.:
            if i != a // i:
                mas.append(a // i)  # Добавляем в массив деленное нацело на счетчик мин. значение
        i += 1  # Добавляем к счетчику единицу
    return len(mas)  # После цикла возвращаем максимальный делитель обоих чисел


def composite(x):
    for i in range(1, x + 1):
        if gcd(i) > 2 and gcd(x - i) > 2:
            return i, x - i


print(*composite(int(input())))