Vladik and Chloe decided to determine who of them is better at math. Vladik claimed that for any positive integer n he can represent fraction <image> as a sum of three distinct positive fractions in form <image>.

Help Vladik with that, i.e for a given n find three distinct positive integers x, y and z such that <image>. Because Chloe can't check Vladik's answer if the numbers are large, he asks you to print numbers not exceeding 109.

If there is no such answer, print -1.

Input

The single line contains single integer n (1 ≤ n ≤ 104).

Output

If the answer exists, print 3 distinct numbers x, y and z (1 ≤ x, y, z ≤ 109, x ≠ y, x ≠ z, y ≠ z). Otherwise print -1.

If there are multiple answers, print any of them.

Examples

Input

3


Output

2 7 42


Input

7


Output

7 8 56

import java.util.Scanner;
import java.util.*;
import java.io.*;
import java.math.*;



//********************************************************K.S.J_@@@@@@@@@@@@@@@@@@@@@@@@@****************************

public class Third{
	static BufferedReader reader;
    static StringTokenizer tokenizer;
	
	static void init(InputStream input) {reader = new BufferedReader(new InputStreamReader(input) );
        tokenizer = new StringTokenizer("");
    }
	static String next() throws IOException {
        while (!tokenizer.hasMoreTokens() ) { tokenizer = new StringTokenizer(reader.readLine() );}
        return tokenizer.nextToken();
    }
	static String nextLine() throws IOException { return  next();}
	static int nextInt() throws IOException {return Integer.parseInt( next() );}
	static double nextDouble() throws IOException {return Double.parseDouble( next() );}
	static long nextLong() throws IOException {return Long.parseLong( next() );}
	static BigInteger nextBigInteger() throws IOException {return new BigInteger(next()) ;}


	public static void main(String args[]) throws IOException{
		init(System.in);
			int T=nextInt();
			if(T==1)
				System.out.println("-1");
				else
				System.out.println(T+" "+(T+1)+" "+T*(T+1));	

			}

}