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 Compuesto(N):
    k=1
    z=-1
    while(k<N-1)and(z==-1):
        k=k+1
        if(N%k==0):
            z=1
    if(z==1):
        return True
    else:
        return False
Numero=int(input())
i=4
Aux=True
NN1=0
NN2=0
while(i<=Numero/2)and(NN1==0):
    if(Compuesto(i)):
        if(Compuesto(Numero-i)):
            NN1=i
            NN2=Numero-i
    i=i+1
print str(NN1)+" "+str(NN2)