Problem: We'll call a set of positive integers a beautiful if the following condition fulfills: for any prime p, if <image>, then <image>. In other words, if one number from the set is divisible by prime p, then at least half of numbers from the set is divisible by p.

Your task is to find any beautiful set, where the number of elements is equal to k and each element doesn't exceed 2k2.

Input

The first line contains integer k (10 ≤ k ≤ 5000) that shows how many numbers the required beautiful set should have.

Output

In the first line print k space-separated integers that are a beautiful set. If there are multiple such sets, you are allowed to print any of them.

Examples

Input

10


Output

16 18 24 27 36 48 54 72 108 144 

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;

public class C {

	static int[] primes = { 2, 3, 5, 7, 11, 13, 17, 19 };

	static void solve() throws IOException {
		int n = nextInt();
		for (int k = 2; k < primes.length; k++) {
			List<Integer>[] pows = new List[k];
			for (int i = 0; i < k; i++) {
				pows[i] = new ArrayList<>();
				int x = 1;
				while (x <= n * n) {
					pows[i].add(x);
					x *= primes[i];
				}
			}
			answer = new ArrayList<>();
			count = new int[k];
			zero = new boolean[k];
			go(0, k, n, pows, 1);
			if (answer.size() >= n) {
				for (int i : answer) {
					out.print(i + " ");
				}
				return;
			}
		}
		throw new AssertionError();
	}

	static List<Integer> answer;
	static boolean[] zero;
	static int[] count;

	static void go(int x, int k, int n, List<Integer>[] pows, long mul) {
		if (mul > 2 * n * n)
			return;
		if (x == k) {
			answer.add((int) mul);
			for (int i = 0; i < k; i++) {
				if (zero[i]) {
					++count[i];
				}
			}
			return;
		}
		for (int i = 0; i < k; i++) {
			if (zero[i] && (1 + count[i]) * 2 > n)
				return;
		}
		for (int i = 0; i < pows[x].size(); i++) {
			if (answer.size() >= n)
				return;
			if (i == 0) {
				zero[x] = true;
			} else {
				zero[x] = false;
			}
			go(x + 1, k, n, pows, mul * pows[x].get(i));
		}
	}

	public static void main(String[] args) throws Exception {
		File file = new File("c.in");
		InputStream input = System.in;
		PrintStream output = System.out;
		if (file.exists() && file.canRead()) {
			input = new FileInputStream(file);
			// output = new PrintStream("c.out");
		}
		br = new BufferedReader(new InputStreamReader(input));
		out = new PrintWriter(output);
		solve();
		out.close();
	}

	static BufferedReader br;
	static StringTokenizer st;
	static PrintWriter out;

	static String nextToken() throws IOException {
		while (st == null || !st.hasMoreTokens()) {
			String line = br.readLine();
			if (line == null) {
				return null;
			}
			st = new StringTokenizer(line);
		}
		return st.nextToken();
	}

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

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

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