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:
n=int(input())
count=0

if(n%2==0):
    a=n//2 
    b=n//2
    for i in range(1,n//2):
        count1=0
        count2=0
        a=a-1
        b=b+1
        
        for j in range(1,a+1):
            if(a%j==0):
                
                count1=count1+1
        for j in range(1,b+1):
            if(b%j==0):
                
                count2=count2+1
        
        if(count1>2 and count2>2):
            print(a,b)
            break
else:
    count3=0
    count4=0
    a=(n//2)+1
    b=n//2
    for i in range(1,b):
        if(b%i==0):
            count3=count3+1
    for i in range(1,a):
        if(a%i==0):
            count4=count4+1
    if(count3>2and count4>2):
        print(a,b)
        
    else:
        for i in range(1,n//2):
            count1=0
            count2=0
            a=a-1
            b=b+1
            
            for j in range(1,a+1):
                if(a%j==0):
                    
                    count1=count1+1
            for j in range(1,b+1):
                if(b%j==0):
                    
                    count2=count2+1
            
            if(count1>2 and count2>2):
                print(a,b)
                break