Problem: There are n boys and m girls studying in the class. They should stand in a line so that boys and girls alternated there as much as possible. Let's assume that positions in the line are indexed from left to right by numbers from 1 to n + m. Then the number of integers i (1 ≤ i < n + m) such that positions with indexes i and i + 1 contain children of different genders (position i has a girl and position i + 1 has a boy or vice versa) must be as large as possible. 

Help the children and tell them how to form the line.

Input

The single line of the input contains two integers n and m (1 ≤ n, m ≤ 100), separated by a space.

Output

Print a line of n + m characters. Print on the i-th position of the line character "B", if the i-th position of your arrangement should have a boy and "G", if it should have a girl. 

Of course, the number of characters "B" should equal n and the number of characters "G" should equal m. If there are multiple optimal solutions, print any of them.

Examples

Input

3 3


Output

GBGBGB


Input

4 2


Output

BGBGBB

Note

In the first sample another possible answer is BGBGBG. 

In the second sample answer BBGBGB is also optimal.

Solution (in JAVA):

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

public class Main {
    private IO io;
    private int ioMode = -1;
    private String problemName = "";
    private final String mjArgument = "master_j";

    public static void main(String programArguments[]) throws IOException{
        if(programArguments != null && programArguments.length > 0)
            new Main().run(programArguments[0]);
        else
            new Main().run(null);
    }

    private void run(String programArgument) throws IOException {
//         _______________________________________________ _________
//        |   Input Mode     |      Output Mode    | mode | comment |
//        |------------------|---------------------|----- |---------|
//        |   input.txt      |      System.out     |  0   |    mj   |
//        |   System.in      |      System.out     |  1   |  T / CF |
//        |<problemName>.in  |  <problemName>.out  |  2   |         |
//        |   input.txt      |      output.txt     |  3   |    C    |
//        |__________________|_____________________|______|_________|
        long nanoTime = 0;
        if(programArgument != null && programArgument.equals(mjArgument)) // mj
            ioMode = 0;
        else if(System.getProperty("ONLINE_JUDGE") != null) // T / CF
            ioMode = 1;
        else
            ioMode = 2;
        switch(ioMode = 3){
            case -1:
                try{
                    throw new Exception("<ioMode> init failure") ;
                }catch (Exception e){
                    e.printStackTrace();
                }
                return;
            case 0:
                break;
            case 1:
                break;
            case 2:
                if(problemName.length() == 0){
                    try{
                        throw new Exception("<problemName> init failure");
                    }catch (Exception e){
                        e.printStackTrace();
                    }
                    return;
                }
            case 3:
                break;
        }
        io = new IO(ioMode, problemName);
        if(ioMode == 0){
            System.out.println("File output : \n<start>");
            System.out.flush();
            nanoTime = System.nanoTime();
        }
        solve();
        io.flush();
        if(ioMode == 0){
            System.out.println("</start>");
            long t = System.nanoTime() - nanoTime;
            int d3 = 1000000000, d2 = 1000000, d1 = 1000000;
            if(t>=d3)
                System.out.println(t/d3 + "." + t%d3 + " seconds");
            else if(t>=d2)
                System.out.println(t/d2 + "." + t%d2 + " millis");
            else if(t>=d1)
                System.out.println(t/d1 + "." + t%d1 + " millis");
            System.out.flush();
        }
    }

    private void solve() throws IOException {
        int n = io.nI(), m = io.nI(), k = Math.min(n, m);
        if(n >= m){
            for(int i = 0; i<m; i++)
                io.w("BG");
            for(int i = m; i<n; i++)
                io.w('B');
        }else{
            for(int i = 0; i<n; i++)
                io.w("GB");
            for(int i = n; i<m; i++)
                io.w('G');
        }
        io.wln();
    }//2.2250738585072012e-308

    /**
     * Input-output class
     * @author master_j
     * @version 0.2.4
     */
    @SuppressWarnings("unused")
    private class IO{
        private boolean alwaysFlush;
        StreamTokenizer in; PrintWriter out; BufferedReader br; Reader reader; Writer writer;
        public IO(int ioMode, String problemName) throws IOException{
            Locale.setDefault(Locale.US);
//         _______________________________________________ _________
//        |   Input Mode     |      Output Mode    | mode | comment |
//        |------------------|---------------------|----- |---------|
//        |   input.txt      |      System.out     |  0   |    mj   |
//        |   System.in      |      System.out     |  1   |  T / CF |
//        |<problemName>.in  |  <problemName>.out  |  2   |         |
//        |   input.txt      |      output.txt     |  3   |    C    |
//        |__________________|_____________________|______|_________|
            switch(ioMode){
                case 0:
                    reader = new FileReader("input.txt");
                    writer = new OutputStreamWriter(System.out);
                    break;
                case 1:
                    reader = new InputStreamReader(System.in);
                    writer = new OutputStreamWriter(System.out);
                    break;
                case 2:
                    reader = new FileReader(problemName + ".in");
                    writer = new FileWriter(problemName + ".out");
                    break;
                case 3:
                    reader = new FileReader("input.txt");
                    writer = new FileWriter("output.txt");
                    break;
            }
            br = new BufferedReader(reader);
            in = new StreamTokenizer(br);
            out = new PrintWriter(writer);
            alwaysFlush = false;
        }
        public void setAlwaysFlush(boolean arg){alwaysFlush = arg;}
        public void wln(){out.println(); if(alwaysFlush)flush();}
        public void wln(int arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(long arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(double arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(String arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(boolean arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(char arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(float arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(Object arg){out.println(arg); if(alwaysFlush)flush();}
        public void w(int arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(long arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(double arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(String arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(boolean arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(char arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(float arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(Object arg){out.print(arg); if(alwaysFlush)flush();}
        public void wf(String format, Object...args){out.printf(format, args); if(alwaysFlush)flush();}
        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 char nC() throws IOException {return (char)br.read();}
        public void wc(char...arg){for(char c : arg){in.ordinaryChar(c);in.wordChars(c, c);}}
        public void wc(String arg){wc(arg.toCharArray());}
        public void wc(char arg0, char arg1){in.ordinaryChars(arg0, arg1); in.wordChars(arg0, arg1);}
        public boolean eof(){return in.ttype == StreamTokenizer.TT_EOF;}
        public boolean eol(){return in.ttype == StreamTokenizer.TT_EOL;}
    }
}