For technical reasons, some programming languages (Kotlin, C #) will not be available during round 877.
×

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

A. Design Tutorial: Learn from Math

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputOne 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.

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.

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Oct/23/2017 21:44:23 (c2).

Desktop version, switch to mobile version.

User lists

Name |
---|