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:
# n=input()
# i1=2
# j1=2
# for i in range(3,n):
    # for k in range(2,int(i**0.5)+1):
            # if i%k==0:
                # i1=i
            # else:
                # pass
    # for j in range(i1+1,n):
        # for k in range(2,int(j**0.5)+1):
            # if j%k==0:
                # j1=i
            # else:
                # pass
        # if i1+j1==n:
            # print i1,j1
        # else:
            # continue
            
# 

n=input()
if n%2==0:
    print n-8,8
else:
    print n-9,9