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:
a=int(input())
def prime(a):
    p=2
    if a==2:
        return True
    elif a%2==0:
        return False
    
    else:
        if a==1:
            return False
        elif a%2==0:
            return False
        elif a==2 or a==3:
            return True
        for i in range(3,int(a**(1/2))+2):
            if a%i==0:
                p=0
                break
            else:
                
                p=1
        if p==1:
            return True
        elif p==0:
            return False

c=a-2
d=a//2+1
l=[]
for j in range(2,a):
    
    b=a-j
    if prime(b)!=True and prime(j)!=True:
        l.append(b)
        l.append(j)
        break

s=str(l[0])+" "+str(l[1])
print(s)