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.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.BufferedWriter;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author o_panda_o(emailofpanda@yahoo.com)
 */
public class Code_743C_VladikAndFractions{
    public static void main(String[] args){
        InputStream inputStream=System.in;
        OutputStream outputStream=System.out;
        InputReader in=new InputReader(inputStream);
        OutputWriter out=new OutputWriter(outputStream);
        _743C_ solver=new _743C_();
        solver.solve(1,in,out);
        out.close();
    }

    static class _743C_{
        public void solve(int testNumber,InputReader in,OutputWriter out){
            int n=in.nextInt(), x=n, y=n+1, z=n*(n+1);
            if(x==y||y==z||x==z) out.print(-1);
            else out.print(x,y,z);
        }

    }

    static class OutputWriter{
        private final PrintWriter writer;

        public OutputWriter(OutputStream outputStream){
            writer=new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }

        public OutputWriter(Writer writer){
            this.writer=new PrintWriter(writer);
        }

        public void print(Object... objects){
            for(int i=0;i<objects.length;i++){
                if(i!=0){
                    writer.print(' ');
                }
                writer.print(objects[i]);
            }
        }

        public void close(){
            writer.close();
        }

        public void print(int i){
            writer.print(i);
        }

    }

    static class InputReader{
        private InputStream stream;
        private byte[] buf=new byte[1024];
        private int curChar;
        private int numChars;
        private InputReader.SpaceCharFilter filter;

        public InputReader(InputStream stream){
            this.stream=stream;
        }

        public int read(){
            if(numChars==-1){
                throw new InputMismatchException();
            }
            if(curChar>=numChars){
                curChar=0;
                try{
                    numChars=stream.read(buf);
                }catch(IOException e){
                    throw new InputMismatchException();
                }
                if(numChars<=0){
                    return -1;
                }
            }
            return buf[curChar++];
        }

        public int nextInt(){
            int c=read();
            while(isSpaceChar(c)){
                c=read();
            }
            int sgn=1;
            if(c=='-'){
                sgn=-1;
                c=read();
            }
            int res=0;
            do{
                if(c<'0'||c>'9'){
                    throw new InputMismatchException();
                }
                res*=10;
                res+=c-'0';
                c=read();
            }while(!isSpaceChar(c));
            return res*sgn;
        }

        public boolean isSpaceChar(int c){
            if(filter!=null){
                return filter.isSpaceChar(c);
            }
            return isWhitespace(c);
        }

        public static boolean isWhitespace(int c){
            return c==' '||c=='\n'||c=='\r'||c=='\t'||c==-1;
        }

        public interface SpaceCharFilter{
            public boolean isSpaceChar(int ch);

        }

    }
}

