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 {
   private static IO io;

   public static void main(String[] args) throws IOException {
       new Main().run();
   }

   private void run() throws IOException {
       io = new IO(System.getProperty("ONLINE_JUDGE")!=null);
       solve();
       io.flush();
   }
   
   private void solve() throws IOException {
       final int MAX = 50000;
       int n = io.nI(), a = io.nI(), b = io.nI()-1, at = a, bt = b+1, r[] = new int[n], i = 1, j; r[0] = 1;
       Arrays.fill(r, 1);
       if(b==-1&&a>0)i = 2;
       while(bt>0&&i<n&&r[i-1]<=MAX)r[i] = r[i++-1]*2+--bt*0;
       while(at>0&&i<n&&r[i-1]<=MAX)r[i] = r[i++-1]+1+--at*0;
       int max = r[0], sum = r[0]; at = 0; bt = 0;
       for(i = 1; i<n; i++){
           if(r[i]>sum)bt++;else
               if(r[i]>max)
                   at++;
           sum+=r[i]; max = Math.max(max, r[i]);
       }
       if(at!=a||bt-1!=b)io.wln(-1);else
           for(i = 0; i<n; i++)io.w(r[i]+" ");
   }//2.2250738585072012e-308
   
   @SuppressWarnings("unused")
   private class IO{
       StreamTokenizer in; PrintWriter out; BufferedReader br; Reader reader; Writer writer;
       public IO(boolean oj) throws IOException{
           Locale.setDefault(Locale.US);
           reader = oj ? new InputStreamReader(System.in) : new FileReader("input.txt");
           writer = oj ? new OutputStreamWriter(System.out) : new FileWriter("output.txt");
           br = new BufferedReader(reader);
           in = new StreamTokenizer(br);
           out = new PrintWriter(writer);
       }
       public void wln(){out.println();}
       public void wln(int arg){out.println(arg);}
       public void wln(long arg){out.println(arg);}
       public void wln(double arg){out.println(arg);}
       public void wln(String arg){out.println(arg);}
       public void wln(boolean arg){out.println(arg);}
       public void wln(char arg){out.println(arg);}
       public void wln(float arg){out.println(arg);}
       public void wln(Object arg){out.println(arg);}
       public void w(int arg){out.print(arg);}
       public void w(long arg){out.print(arg);}
       public void w(double arg){out.print(arg);}
       public void w(String arg){out.print(arg);}
       public void w(boolean arg){out.print(arg);}
       public void w(char arg){out.print(arg);}
       public void w(float arg){out.print(arg);}
       public void w(Object arg){out.print(arg);}
       public void wf(String format, Object...args){out.printf(format, args);}
       public void flush(){out.flush();}
       public int nI() throws IOException {in.nextToken(); return(int)in.nval;}
       public long nL() throws IOException {in.nextToken(); return(long)in.nval;}
       public String nS() throws IOException {in.nextToken(); return in.sval;}
       public double nD() throws IOException {in.nextToken(); return in.nval;}
       public float nF() throws IOException {in.nextToken(); return (float)in.nval;}
       public void wc(char...a){for(char c : a){in.ordinaryChar(c);in.wordChars(c, c);}}
       public void wc(char c1, char c2){in.ordinaryChars(c1, c2); in.wordChars(c1, c2);}
   }
}