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
/**
 * DA-IICT
 * Author : Savaliya Sagar.
 */

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

public class C743 {
    public static int mod = 1000000007;
    static FasterScanner in = new FasterScanner();
    static PrintWriter o = new PrintWriter(System.out);

    public static void main(String[] args) {
        // 2/n = 1/n + 1/n
        // 2/n = 1/n + 1/n - n/(n*(n+1)) + n/(n*(n+1))
        // 2/n = 1/n +    1/(n*(n+1))    + 1/n+1
        int n = in.nextInt();
        if(n==1)
            o.print(-1);
        else{
            o.print(n + " " + (n+1) + " " + (n*(n+1)));
        }

        o.close();
    }


    public static long gcd(long n1, long n2) {
        long r;
        while (n2 != 0) {
            r = n1 % n2;
            n1 = n2;
            n2 = r;
        }
        return n1;
    }

    public static long pow(long x, long n, long mod) {
        long res = 1;
        x %= mod;
        while (n > 0) {
            if (n % 2 == 1) {
                res = (res * x) % mod;
            }
            x = (x * x) % mod;
            n /= 2;
        }
        return res;
    }

    static class FasterScanner {
        private byte[] buf = new byte[1024];
        private int curChar;
        private int snumChars;

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

        public String nextLine() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            } while (!isEndOfLine(c));
            return res.toString();
        }

        public String nextString() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            } while (!isSpaceChar(c));
            return res.toString();
        }

        public long nextLong() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            long 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 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 int[] nextIntArray(int n, int f) {
            if (f == 0) {
                int[] arr = new int[n];
                for (int i = 0; i < n; i++) {
                    arr[i] = nextInt();
                }
                return arr;
            } else {
                int[] arr = new int[n + 1];
                for (int i = 1; i < n + 1; i++) {
                    arr[i] = nextInt();
                }
                return arr;
            }
        }

        public long[] nextLongArray(int n, int f) {
            if (f == 0) {
                long[] arr = new long[n];
                for (int i = 0; i < n; i++) {
                    arr[i] = nextLong();
                }
                return arr;
            } else {
                long[] arr = new long[n + 1];
                for (int i = 1; i < n + 1; i++) {
                    arr[i] = nextLong();
                }
                return arr;
            }
        }

        private boolean isSpaceChar(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        private boolean isEndOfLine(int c) {
            return c == '\n' || c == '\r' || c == -1;
        }
    }
}
