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:
import math
status={}
def siv():
    N=1000000
    for i in range(N+1):
        status[i]=0
    sq=int(math.sqrt(N))
    for i in range(4,N+1,2):
        status[i]=1;
    for i in range(3,sq+1,2):
        if(status[i]==0):
            j=i*i
            while(j<=N):
                status[j]=1
                j+=i
    status[1]=1;
	
siv()

n=int(input())

i=4
j=n-4
x,y=-1,-1
while(i<j):
    if(i+j==n and status[i]==1 and status[j]==1):
        x=i
        y=j
        break

    i+=1
    j-=1

print(x,y,sep=' ')