Codeforces Round 270 |
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Finished |

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math

number theory

*800

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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 2010-2023 Mike Mirzayanov

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