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.util.*;
import java.lang.*;
import java.io.*;
import java.math.*;

/*
 * @author Mahmoud Aladdin <aladdin3>
 *
 */
 
public class Main {
    public static void main (String[] args) throws java.lang.Exception {
		InputReader scan = new InputReader(System.in);
		PrintWriter writer = new PrintWriter(System.out, true);
		(new Main(scan, writer)).run();
		writer.close();
    }
    
    private InputReader jin;
    private PrintWriter jout;
    
    public Main(InputReader in, PrintWriter out) {
    	this.jin  = in;
    	this.jout = out;
    }
    
    public void run() throws Exception {
		int n = jin.integer();
		int a = jin.integer();
		int b = jin.integer();
		
		StringBuffer out = new StringBuffer();
		int s = 2, p = 1;
		out.append(2);
		for(int i = 1; i < n; i++) {
			if(b > 0) {
				b--;
				p = s + 1;
				s += p;
				out.append(" ").append(p);
			} else if(a > 0) {
				a--; 
				if(p == 1) a++;
				p = p + 1;
				out.append(" ").append(p);
			} else {
				out.append(" ").append(1);
			}
		}
		if(b <= 0 && a <= 0)
			jout.println(out);
		else
			jout.println(-1);
    }
}
 
class InputReader {
    private static final int bufferMaxLength = 1024;
    private InputStream in;
    private byte[] buffer;
    private int currentBufferSize;
    private int currentBufferTop;
    private static final String tokenizers = " \t\r\f\n";
    
    public InputReader(InputStream stream) {
        this.in = stream;
        buffer = new byte[bufferMaxLength];
        currentBufferSize = 0;
        currentBufferTop = 0;
    }
    
    private boolean refill() throws IOException {
        this.currentBufferSize = this.in.read(this.buffer);
        this.currentBufferTop = 0;
        return this.currentBufferSize > 0;
    }
    
    
    private Byte readChar() throws IOException {
        if(currentBufferTop < currentBufferSize) {
            return this.buffer[this.currentBufferTop++];
        } else {
            if(!this.refill()) {
                return null;
            } else {
                return readChar();
            }
        }
    }
    
    
    public String token() throws IOException {
        StringBuffer tok = new StringBuffer();
        Byte first;
        while((first = readChar()) != null && (tokenizers.indexOf((char) first.byteValue()) != -1));
        if(first == null) return null;
        tok.append((char)first.byteValue());
        while((first = readChar()) != null && (tokenizers.indexOf((char) first.byteValue()) == -1)) {
            tok.append((char)first.byteValue());
        }
        return tok.toString();
    }
    
    public String line() throws IOException {
		Byte first;
		StringBuffer line = new StringBuffer();
		while ((first = readChar()) != null && (char)first.byteValue() != '\n') {
			line.append((char)first.byteValue());
		}
		return (first == null && line.length() == 0)? null : line.toString();
    }
    
    public Integer integer() throws NumberFormatException, IOException {
        String tok = token();
        return tok == null? null : Integer.parseInt(tok);
    }
    
}