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:
inp = int(input())

def is_prime(x):
    prime = 5
    if x <= 1:
        prime = 0
        return prime
    elif x%2 == 0:
        if x == 2:
            prime = 1
            return prime
        else:
            prime = 0
            return prime
    elif x == 3:
        prime = 1
        return prime
    else:
        i = 3
        while (i<x):
            if (i == (x-1)):
                prime = 1
                return prime
                break
            if (x%i == 0):
                prime = 0
                return prime
                break
            i += 1

a = 2
b = inp - a

while True:
    if is_prime(a) == 1 or is_prime(b) == 1:
        a = a + 1
        b = inp - a
    else:
        print(str(a) + " " + str(b))
        break