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 $*n*$ $(12 ≤ *n* ≤ 10^{6})$.

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.

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.