Problem: «Next please», — the princess called and cast an estimating glance at the next groom.

The princess intends to choose the most worthy groom, this is, the richest one. Whenever she sees a groom who is more rich than each of the previous ones, she says a measured «Oh...». Whenever the groom is richer than all previous ones added together, she exclaims «Wow!» (no «Oh...» in this case). At the sight of the first groom the princess stays calm and says nothing.

The fortune of each groom is described with an integer between 1 and 50000. You know that during the day the princess saw n grooms, said «Oh...» exactly a times and exclaimed «Wow!» exactly b times. Your task is to output a sequence of n integers t1, t2, ..., tn, where ti describes the fortune of i-th groom. If several sequences are possible, output any of them. If no sequence exists that would satisfy all the requirements, output a single number -1.

Input

The only line of input data contains three integer numbers n, a and b (1 ≤ n ≤ 100, 0 ≤ a, b ≤ 15, n > a + b), separated with single spaces.

Output

Output any sequence of integers t1, t2, ..., tn, where ti (1 ≤ ti ≤ 50000) is the fortune of i-th groom, that satisfies the given constraints. If no sequence exists that would satisfy all the requirements, output a single number -1.

Examples

Input

10 2 3


Output

5 1 3 6 16 35 46 4 200 99

Input

5 0 0


Output

10 10 6 6 5

Note

Let's have a closer look at the answer for the first sample test. 

  * The princess said «Oh...» (highlighted in bold): 5 1 3 6 16 35 46 4 200 99. 
  * The princess exclaimed «Wow!» (highlighted in bold): 5 1 3 6 16 35 46 4 200 99. 

Solution (in JAVA):

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

public class Main {

    public static void main(String[] args) throws IOException {
//        out = new PrintWriter(new File("output.txt"));
//        br = new BufferedReader(new FileReader(new File("input.txt")));
        int JOPI = 1;
        for (int NASRAL = 0; NASRAL < JOPI; NASRAL++) {
            int n = nextInt();
            int a = nextInt();
            int b = nextInt();
            int star_a = a;
            int star_b = b;
            int max = 1;
            int sum = 1;
            int[] ans = new int[n];
            ans[0] = 1;
            if (b == 0 && a != 0) {
                if (b == n - 1) {
                    out.println(-1);
                    continue;
                } else {
                    ans[0] = 2;
                    ans[1] = 2;
                    max = 2;
                    sum = 4;
                }
            }
            for (int i = 1; i < n; i++) {
                if (ans[i] != 0) continue;
                if (b != 0) {
                    ans[i] = sum + 1;
                    max = sum + 1;
                    sum += sum + 1;
                    b--;
                } else if (a != 0) {
                    ans[i] = max + 1;
                    max += 1;
                    sum += max;
                    a--;
                } else {
                    ans[i] = 1;
                    sum++;
                }
            }
            int cnt_a = 0;
            int cnt_b = 0;
            max = ans[0];
            sum = ans[0];
            for (int i = 1; i < n; i++) {
                if (ans[i] > sum) cnt_b++;
                else if (ans[i] > max) {
                    max = ans[i];
                    cnt_a++;
                }
                sum += ans[i];
            }
            if (cnt_a == star_a && cnt_b == star_b && max <= 50000) {
                for (int i = 0; i < n; i++) {
                    out.print(ans[i] + " ");
                }
            } else out.println(-1);
        }
        out.close();
    }

    static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    static PrintWriter out = new PrintWriter(System.out);
    static StringTokenizer in = new StringTokenizer("");


    public static String next() throws IOException {
        while (in == null || !in.hasMoreTokens()) {
            in = new StringTokenizer(br.readLine());
        }
        return in.nextToken();
    }

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

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

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

class Point {
    int p;
    long m;

    public Point(int p, long m) {
        this.p = p;
        this.m = m;
    }
}