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:
# given x >= 12, \exists z s.t z is not prime and x - z is not prime
# x = 2a + 3b. In the ring \Z, (2) + (3) = \Z since gcd(2,3) = 1.
# Then we need a,b=0 or a,b > 1. 12 = 2*3 + 2*3. 1 = 1*3+(-1)*2, 2 = 1*2, 3 =1*3, and so on

x = int(raw_input())

r=(x % 12) % 3
a = 3 * (x/12) 
b = 2 * (x/12) + (x%12)/3

if r == 1 :
    b += 1
    a -= 1
elif r == 2 :
    a += 1

print(str(2*a) + ' ' + str(3*b))