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 PYTHON):

Solution:
def IsPrime(n):
    for i in range(2,n):
        if n%i==0:
            break
    if i==n-1 and n%i!=0:
        return True
    else:
        return False


n=int(input())

n1=n/2
n2=n-n1
#print n1,n2
#print (not IsPrime(n1)) and (not IsPrime(n2))

while not ((not IsPrime(n1)) and (not IsPrime(n2))):
    #print n1,n2
    if IsPrime(n1):
        n1-=1
        n2+=1
    elif IsPrime(n2):
        n2+=1
        n1-=1
    #print (not IsPrime(n1)) and (not IsPrime(n2))

print str(n1)+' '+str(n2)