Problem: Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n.

Let us remind you the definition of the greatest common divisor: GCD(a1, ..., ak) = d, where d represents such a maximal positive number that each ai (1 ≤ i ≤ k) is evenly divisible by d. At that, we assume that all ai's are greater than zero.

Knowing that Petya is keen on programming, his friends has agreed beforehand that the 1-st friend gives a1 sweets, the 2-nd one gives a2 sweets, ..., the n-th one gives an sweets. At the same time, for any i and j (1 ≤ i, j ≤ n) they want the GCD(ai, aj) not to be equal to 1. However, they also want the following condition to be satisfied: GCD(a1, a2, ..., an) = 1. One more: all the ai should be distinct.

Help the friends to choose the suitable numbers a1, ..., an.

Input

The first line contains an integer n (2 ≤ n ≤ 50).

Output

If there is no answer, print "-1" without quotes. Otherwise print a set of n distinct positive numbers a1, a2, ..., an. Each line must contain one number. Each number must consist of not more than 100 digits, and must not contain any leading zeros. If there are several solutions to that problem, print any of them.

Do not forget, please, that all of the following conditions must be true:

  * For every i and j (1 ≤ i, j ≤ n): GCD(ai, aj) ≠ 1
  * GCD(a1, a2, ..., an) = 1
  * For every i and j (1 ≤ i, j ≤ n, i ≠ j): ai ≠ aj



Please, do not use %lld specificator to read or write 64-bit integers in C++. It is preffered to use cout (also you may use %I64d).

Examples

Input

3


Output

99
55
11115


Input

4


Output

385
360
792
8360

Solution (in JAVA):

Solution:
import java.awt.Point;
import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.FileReader;
import java.io.FileWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.math.BigDecimal;
import java.math.BigInteger;
import java.math.MathContext;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Deque;
import java.util.HashMap;
import java.util.HashSet;
import java.util.Hashtable;
import java.util.List;
import java.util.Locale;
import java.util.Map;
import java.util.Random;
import java.util.Set;
import java.util.Stack;
import java.util.StringTokenizer;
import java.util.TreeMap;
import java.util.TreeSet;

import static java.lang.Double.*;
import static java.math.BigInteger.*;
import static java.lang.Math.*;
import static java.util.Arrays.*;

public class Main implements Runnable {
	
	private void solve() throws IOException {
//		long start = System.currentTimeMillis();
		readData();
		processing();
	}	
	
	private void processing() {
		if (n == 2) {
			println(-1);
			return;
		}
		int cnt2 = 0;
		int cnt3 = 0;
		int cnt5 = 0;
		BigInteger answer = ONE;
		for (int i = 0; i < n; ++i) {
			if (i%3 == 0) {
				++cnt2;
				++cnt3;
				answer = ONE;
				for (int j = 0; j < cnt2; ++j) {
					answer = answer.multiply(valueOf(2));
				}
				for (int j = 0; j < cnt3; ++j) {
					answer = answer.multiply(valueOf(3));
				}
				writer.println(answer);
			}
			else if (i%3 == 1) {
				++cnt5;
				answer = ONE;
				for (int j = 0; j < cnt2; ++j) {
					answer = answer.multiply(valueOf(2));
				}
				for (int j = 0; j < cnt5; ++j) {
					answer = answer.multiply(valueOf(5));
				}
				writer.println(answer);
			}
			else {
				answer = ONE;
				for (int j = 0; j < cnt2; ++j) {
					answer = answer.multiply(valueOf(3));
				}
				for (int j = 0; j < cnt5; ++j) {
					answer = answer.multiply(valueOf(5));
				}
				writer.println(answer);
			}
		}
	}	
	
	private void readData() throws IOException {
		n = nextInt();
	}
	
	private int n;
	
	public static void main(String[] args) throws InterruptedException {
		new Thread(null, new Runnable() {
			public void run() {
				new Main().run();
			}
		}, "1", 1 << 24).start();
	}

	// @Override
	public void run() {
		try {
			boolean onlineJudge = System.getProperty("ONLINE_JUDGE") != null;
			reader = onlineJudge ? new BufferedReader(new InputStreamReader(
					System.in)) : new BufferedReader(
					new FileReader("input.txt"));
			writer = onlineJudge ? new PrintWriter(new BufferedWriter(
					new OutputStreamWriter(System.out))) : new PrintWriter(
					new BufferedWriter(new FileWriter("output.txt")));
			Locale.setDefault(Locale.US);
			tokenizer = null;
			solve();
			writer.flush();
		} catch (Exception error) {
			error.printStackTrace();
			System.exit(1);
		}
	}

	private BufferedReader reader;
	private PrintWriter writer;
	private StringTokenizer tokenizer;

	private void println() {
		writer.println();
	}
	
	private void print(long value) {
		writer.print(value);
	}
	
	private void println(long value) {
		writer.println(value);
	}
	
	private void print(char ch) {
		writer.print(ch);
	}

	private void println(String s) {
		writer.println(s);
	}

	private void print(String s) {
		writer.print(s);
	}
	
	private void print(int value) {
		writer.print(value);
	}
	
	private void println(int value) {
		writer.println(value);
	}

	private void printf(String f, double d) {
		writer.printf(f, d);
	}

	private int nextInt() throws IOException {
		return Integer.parseInt(nextToken());
	}

	private long nextLong() throws IOException {
		return Long.parseLong(nextToken());
	}

	private double nextDouble() throws IOException {
		return Double.parseDouble(nextToken());
	}

	private String nextToken() throws IOException {
		while (tokenizer == null || !tokenizer.hasMoreTokens()) {
			tokenizer = new StringTokenizer(reader.readLine());
		}
		return tokenizer.nextToken();
	}
}