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
/*
 * To change this license header, choose License Headers in Project Properties.
 * To change this template file, choose Tools | Templates
 * and open the template in the editor.
 */

//package vladicandfunctions;

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

/**
 *
 * @author PrudhviNIT
 */
public class Main{

    /**
     * @param args the command line arguments
     */
    public static void main(String[] args) throws IOException{
        // TODO code application logic here
        InputReader ir = new InputReader();
        long n = ir.readInt();
        long x = n;
        long y = (n+1);
        long z = n*(n+1);
        if(x==y||x==z||y==z){
            System.out.println("-1");
        }
        else{
        System.out.println(x+" "+y+" "+z);
        }
    }
    final static class InputReader {
        //This IO class belongs to Ashok Rajpurohit (@ashok1113)
        byte[] buffer = new byte[8192];
        int offset = 0;
        int bufferSize = 0;
        final InputStream in = System.in;

        public int readInt() throws IOException {
            int number = 0;
            int s = 1;
            if (offset == bufferSize) {
                offset = 0;
                bufferSize = in.read(buffer);
            }
            if (bufferSize == -1) {
                throw new IOException("No new bytes");
            }
            for (; buffer[offset] < 0x30 || buffer[offset] == '-'; ++offset) {
                if (buffer[offset] == '-') {
                    s = -1;
                }
                if (offset == bufferSize - 1) {
                    offset = -1;
                    bufferSize = in.read(buffer);
                }
            }
            for (; offset < bufferSize && buffer[offset] > 0x2f; ++offset) {
                number = (number << 3) + (number << 1) + buffer[offset] - 0x30;
                if (offset == bufferSize - 1) {
                    offset = -1;
                    bufferSize = in.read(buffer);
                }
            }
            ++offset;
            return number * s;
        }

        public int[] readIntArray(int n) throws IOException {
            int[] ar = new int[n];
            for (int i = 0; i < n; i++) {
                ar[i] = readInt();
            }

            return ar;
        }

        public int[] readIntArray1(int n) throws IOException {
            int[] ar = new int[n + 1];
            for (int i = 1; i <= n; i++) {
                ar[i] = readInt();
            }

            return ar;
        }

        public long readLong() throws IOException {
            long res = 0;
            int s = 1;
            if (offset == bufferSize) {
                offset = 0;
                bufferSize = in.read(buffer);
            }
            for (; buffer[offset] < 0x30 || buffer[offset] == '-'; ++offset) {
                if (buffer[offset] == '-') {
                    s = -1;
                }
                if (offset == bufferSize - 1) {
                    offset = -1;
                    bufferSize = in.read(buffer);
                }
            }
            for (; offset < bufferSize && buffer[offset] > 0x2f; ++offset) {
                res = (res << 3) + (res << 1) + buffer[offset] - 0x30;
                if (offset == bufferSize - 1) {
                    offset = -1;
                    bufferSize = in.read(buffer);
                }
            }
            ++offset;
            if (s == -1) {
                res = -res;
            }
            return res;
        }

        public long[] readLongArray(int n) throws IOException {
            long[] ar = new long[n];

            for (int i = 0; i < n; i++) {
                ar[i] = readLong();
            }

            return ar;
        }

        public String read() throws IOException {
            StringBuilder sb = new StringBuilder();
            if (offset == bufferSize) {
                offset = 0;
                bufferSize = in.read(buffer);
            }

            if (bufferSize == -1 || bufferSize == 0) {
                throw new IOException("No new bytes");
            }

            for (;
                    buffer[offset] == ' ' || buffer[offset] == '\t' || buffer[offset]
                    == '\n' || buffer[offset] == '\r'; ++offset) {
                if (offset == bufferSize - 1) {
                    offset = -1;
                    bufferSize = in.read(buffer);
                }
            }
            for (; offset < bufferSize; ++offset) {
                if (buffer[offset] == ' ' || buffer[offset] == '\t'
                        || buffer[offset] == '\n' || buffer[offset] == '\r') {
                    break;
                }
                if (Character.isValidCodePoint(buffer[offset])) {
                    sb.appendCodePoint(buffer[offset]);
                }
                if (offset == bufferSize - 1) {
                    offset = -1;
                    bufferSize = in.read(buffer);
                }
            }
            return sb.toString();
        }

        public String read(int n) throws IOException {
            StringBuilder sb = new StringBuilder(n);
            if (offset == bufferSize) {
                offset = 0;
                bufferSize = in.read(buffer);
            }

            if (bufferSize == -1 || bufferSize == 0) {
                throw new IOException("No new bytes");
            }

            for (;
                    buffer[offset] == ' ' || buffer[offset] == '\t' || buffer[offset]
                    == '\n' || buffer[offset] == '\r'; ++offset) {
                if (offset == bufferSize - 1) {
                    offset = -1;
                    bufferSize = in.read(buffer);
                }
            }
            for (int i = 0; offset < bufferSize && i < n; ++offset) {
                if (buffer[offset] == ' ' || buffer[offset] == '\t'
                        || buffer[offset] == '\n' || buffer[offset] == '\r') {
                    break;
                }
                if (Character.isValidCodePoint(buffer[offset])) {
                    sb.appendCodePoint(buffer[offset]);
                }
                if (offset == bufferSize - 1) {
                    offset = -1;
                    bufferSize = in.read(buffer);
                }
            }
            return sb.toString();
        }
    }
}
