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 criba(maximo):
    N=[True,True]+[True]*(maximo-1)
    j=2
    i=2
    while(j**2<=maximo):
        i+=j
        while(i<=maximo):
            N[i]=False
            i+=j
        r= j + 1
        while r< maximo:
            if N[r]:
                j = r
                break
            r += 1
        i = j
    return [i + 2 for i, not_crossed in enumerate(N[2:]) if not_crossed]
n=int(input())
s=criba(n)
i=2
j=n-2
while(True):
    if(i not in s and j not in s):
        print(i,j)
        break
    i+=1
    j-=1