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 Problem743C
   {
      boolean DEBUG=false;
      PrintWriter pw;
      public static void main(String[] args) throws Exception
      {
         new Problem743C();
      }
      public Problem743C() throws Exception{
         main();
         pw.close();
      }
      public void main() throws Exception{
         BufferedReader br;
         br = new BufferedReader(new InputStreamReader(System.in));
         pw = new PrintWriter(System.out);
         StringTokenizer st;
         st = getst(br);
         int n = nextInt(st);
         int n2 = n+1;
         int n3 = n*n2;
         if(n<=1){
         
            pw.println(-1);
            pw.close();
				return;
         }
         pw.print(n+" ");
         pw.print((n2)+" ");
         pw.print(n3);
      	
      	
         pw.close();
      }
      public static StringTokenizer getst(BufferedReader br) throws Exception{
         return new StringTokenizer(br.readLine(), " ");
      }
      public static int nextInt(StringTokenizer st) throws Exception{
         return Integer.parseInt(st.nextToken());
      }
      public static long nextLong(StringTokenizer st) throws Exception{
         return Long.parseLong(st.nextToken());
      }
      public static String next(StringTokenizer st) throws Exception{
         return st.nextToken();
      }
   }