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:
import math

arr=[1]*(10**6 + 2)

def my_primes():
    arr[0]=arr[1]=0
    r= int(math.sqrt(len(arr))+1)
    for i in xrange(2,r):
        if arr[i]==1:
            j=i*i
            while j< len(arr):
                arr[j]=0
                j+=i
    
#def primes_upto(limit):
#    is_prime = [False] * 2 + [True] * (limit - 1) 
#    for n in range(int(limit**0.5 + 1.5)): # stop at ``sqrt(limit)``
#        if is_prime[n]:
#            for i in range(n*n, limit+1, n):
#                is_prime[i] = False
#    return [i for i, prime in enumerate(is_prime) if prime]

        
n = input()

my_primes()

for i in xrange(3,n/2+1):
    if not arr[i] and not arr[n-i]:
        print i,n-i
        break