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 iscom(n):
    c=0
    for i in range(1,n+1):
        if(n%i==0):
            c+=1
        if(c>2):
            break
    if(c>2):
        return 1
    else:
        return 0
n=int(input())
f=1
k=n//2
if(n%2==0 and k%2==0):
    print(k,k)
else:
    for i in range(2,n):
        a=i
        b=n-i
        k1=iscom(i)
        k2=iscom(n-i)
        if(k1==1 and k2==1):
            break
    print(a,b)