Check if a given even number can be expressed as the sum of two prime numbers (Goldbach's conjecture verification).

Problem Description

Given an even number N (> 2), find two prime numbers p1 and p2 (p1 <= p2) such that p1 + p2 = N. Print in format 'p1 p2'. Input Format: Read input from standard input (stdin). Output Format: Print the result to standard output (stdout).

Constraints

• -10^9 <= N <= 10^9

Examples