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.io.*;
import java.util.*;

public class Main {
	
	static PrintWriter out;
	
	final static int INF = (int) 1e9;
	final static int MOD = (int) 1e9 + 7;
	final static long LINF = (long) 1e18;
	final static double PI = Math.acos(-1.0);
	final static double EPS = (double) 1e-9;
	
	static void solve() {
		int n = Input.nextInt();
		if (n == 1) {
			out.println(-1);
		}
		else {
			out.println(n + " " + (n + 1) + " " + n * (n + 1));
		}
	}
	
	public static void main(String[] args) {
		try {
			out = new PrintWriter(System.out);
			//out = new PrintWriter(new FileWriter("a.out"));
		}
		catch (Exception ex) {
		}
		long stime = System.currentTimeMillis();
		solve();
		if (System.getProperty("ONLINE_JUDGE") == null) {
			out.println("\nTime elapsed: " + (System.currentTimeMillis() - stime) + "ms");
		}
		out.close();
	}
	
	static class Input {
		static StringTokenizer token = null;
		static BufferedReader in;
		static {
			try {
				if (System.getProperty("ONLINE_JUDGE") == null) {
					in = new BufferedReader(new FileReader("in.txt"));
				}
				else {
					in = new BufferedReader(new InputStreamReader(System.in));
				}
			}
			catch (Exception ex) {
			}
		}
		static int nextInt() {
			return Integer.parseInt(nextString());
		}
		static long nextLong() {
			return Long.parseLong(nextString());
		}
		static double nextDouble() {
			return Double.parseDouble(nextString());
		}
		static String nextString() {
			try {
				while (token == null || !token.hasMoreTokens()) {
					token = new StringTokenizer(in.readLine());
				}
			}
			catch (IOException e) {
			}
			return token.nextToken();
		}
	}
}