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.*;
import java.io.*;

public class Main {
	public static void main(String[] args) throws Exception {
		InputReader in = new InputReader(System.in);
		
		int n = in.nextInt();
		
		if(n==1) {
			System.out.println(-1);
		} else {
			System.out.println(n + " " + (n+1) + " " + n*(n+1));
		}
	}
	
	static class InputReader {
		public BufferedReader reader;
		public StringTokenizer tokenizer;
		
		public InputReader(InputStream stream) {
			reader = new BufferedReader(new InputStreamReader(stream));
			tokenizer = null;
		}
		
		public String next() throws Exception {
			while(tokenizer==null || !tokenizer.hasMoreTokens()) {
				tokenizer = new StringTokenizer(reader.readLine());
			}
			return tokenizer.nextToken();
		}
		
		public String nextLine() throws Exception {
			return reader.readLine();
		}
		
		public int nextInt() throws Exception {
			return Integer.parseInt(next());
		}
		
		public long nextLong() throws Exception {
			return Long.parseLong(next());
		}
		
		public double nextDouble() throws Exception {
			return Double.parseDouble(next());
		}
	}
}
