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 comp(num):
    counter = 0
    if num>=4 and num<1000000:
        for i in range(1,num+1):
            if num%i==0:
                counter+=1
        if counter>2:
            return True
        else:
            return False

n = int(input())
if n>=12 and n<=1000000:
    from random import randint
    a=0
    b=0
    while comp(a)!=True or comp(b)!=True:
        a=randint(4, n-4)
        b=n-a
    if comp(a)==True and comp(b)==True:
        print(str(a)+" "+str(b))