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 PYTHON):

Solution:
def eratosthenes(end, start=2, return_boolean=False):
    primes = []
    if end < start or end < 2:
        return []
    is_prime = [True for i in xrange(end + 1)]
    is_prime[0] = is_prime[1] = False
    for i in xrange(2, end + 1):
        if not is_prime[i]:
            continue
        '''
        if start <= i <= end:
            primes.append(i)
        '''
        j = i * i
        while j <= end:
            is_prime[j] = False
            j += i
    if return_boolean:
        return primes, is_prime
    return primes

def main():
    n = int(raw_input())
    primes, is_prime = eratosthenes(end=10**6, return_boolean = True)
    for i in xrange(2,n):
        if (is_prime[i] or is_prime[n-i]): continue
        else : 
            print i, n-i
            return
if __name__ == '__main__':
    main()