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.DataInputStream;
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.io.IOException;

public class Main {

	public static void main(String[] args) throws IOException {
		Reader scr = new Reader();
		if (!asd(scr.nextDouble() / 2.0))
			System.out.println("-1");
	}

	public static boolean asd(double m) {
		for (double x = 1; x < 15000; x++) {
			for (double y = 1; y < 15000; y++) {
				if (x == y)
					continue;
				double mul = x * y;
				double z = mul * m / (mul - (x + y) * m);
				if (z < 1 || z > 1000000000 || x == z || y == z)
					continue;
				if (z == (int) z) {
					System.out.println((int) x + " " + (int) y + " " + (int) z);
					return true;
				}
			}
		}
		return false;
	}

	static class Reader {
		final private int BUFFER_SIZE = 1 << 16;
		private DataInputStream din;
		private byte[] buffer = new byte[BUFFER_SIZE];
		private int bufferPointer = 0, bytesRead = 0;

		public Reader() {
			din = new DataInputStream(System.in);
		}

		public Reader(String fileName) {
			try {
				din = new DataInputStream(new FileInputStream(fileName));
			} catch (FileNotFoundException e) {
				System.out.println("I can not open a file");
			}
		}

		public String readLine(int maxLength) {
			byte[] buf = new byte[maxLength]; // line length
			int cnt = 0, c;
			while ((c = read()) != -1) {
				if (c == '\n')
					break;
				buf[cnt++] = (byte) c;
			}
			return new String(buf, 0, cnt);
		}

		public byte nextByte() {
			byte ret = 0;
			byte c = read();
			while (c <= ' ')
				c = read();
			boolean neg = (c == '-');
			if (neg)
				c = read();
			do {
				ret = (byte) (ret * 10 + c - '0');
			} while ((c = read()) >= '0' && c <= '9');

			if (neg)
				return (byte) -ret;
			return ret;
		}

		public short nextShort() {
			short ret = 0;
			byte c = read();
			while (c <= ' ')
				c = read();
			boolean neg = (c == '-');
			if (neg)
				c = read();
			do {
				ret = (short) (ret * 10 + c - '0');
			} while ((c = read()) >= '0' && c <= '9');

			if (neg)
				return (short) -ret;
			return ret;
		}

		public int nextInt() {
			int ret = 0;
			byte c = read();
			while (c <= ' ')
				c = read();
			boolean neg = (c == '-');
			if (neg)
				c = read();
			do {
				ret = ret * 10 + c - '0';
			} while ((c = read()) >= '0' && c <= '9');

			if (neg)
				return -ret;
			return ret;
		}

		public long nextLong() {
			long ret = 0;
			byte c = read();
			while (c <= ' ')
				c = read();
			boolean neg = (c == '-');
			if (neg)
				c = read();
			do {
				ret = ret * 10 + c - '0';
			} while ((c = read()) >= '0' && c <= '9');
			if (neg)
				return -ret;
			return ret;
		}

		public double nextDouble() {
			double ret = 0, div = 1;
			byte c = read();
			while (c <= ' ')
				c = read();
			boolean neg = (c == '-');
			if (neg)
				c = read();

			do {
				ret = ret * 10 + c - '0';
			} while ((c = read()) >= '0' && c <= '9');

			if (c == '.') {
				while ((c = read()) >= '0' && c <= '9') {
					ret += (c - '0') / (div *= 10);
				}
			}

			if (neg)
				return -ret;
			return ret;
		}

		private void fillBuffer() {
			try {
				bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
			} catch (IOException er) {
				System.err.println("I can not read it");
			}
			if (bytesRead == -1)
				buffer[0] = -1;
		}

		private byte read() {
			if (bufferPointer == bytesRead)
				fillBuffer();
			return buffer[bufferPointer++];
		}

		public void close() {
			if (din == null)
				return;
			try {
				din.close();
			} catch (IOException e) {
				System.out.println("I can not close it");
			}
		}
	}

}
