Problem: You are a rebel leader and you are planning to start a revolution in your country. But the evil Government found out about your plans and set your punishment in the form of correctional labor.

You must paint a fence which consists of 10^{100} planks in two colors in the following way (suppose planks are numbered from left to right from 0): 

  * if the index of the plank is divisible by r (such planks have indices 0, r, 2r and so on) then you must paint it red; 
  * if the index of the plank is divisible by b (such planks have indices 0, b, 2b and so on) then you must paint it blue; 
  * if the index is divisible both by r and b you can choose the color to paint the plank; 
  * otherwise, you don't need to paint the plank at all (and it is forbidden to spent paint on it). 



Furthermore, the Government added one additional restriction to make your punishment worse. Let's list all painted planks of the fence in ascending order: if there are k consecutive planks with the same color in this list, then the Government will state that you failed the labor and execute you immediately. If you don't paint the fence according to the four aforementioned conditions, you will also be executed.

The question is: will you be able to accomplish the labor (the time is not important) or the execution is unavoidable and you need to escape at all costs.

Input

The first line contains single integer T (1 ≤ T ≤ 1000) — the number of test cases.

The next T lines contain descriptions of test cases — one per line. Each test case contains three integers r, b, k (1 ≤ r, b ≤ 10^9, 2 ≤ k ≤ 10^9) — the corresponding coefficients.

Output

Print T words — one per line. For each test case print REBEL (case insensitive) if the execution is unavoidable or OBEY (case insensitive) otherwise.

Example

Input


4
1 1 2
2 10 4
5 2 3
3 2 2


Output


OBEY
REBEL
OBEY
OBEY

Solution (in JAVA):

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

public class E77_2_C {

	public static Scan fr = new Scan();

	public static void main(String[] args) throws IOException {

		int i,j,k;
		int T;
		T=fr.scanInt();
		while(T>0) {
			T--;
			int a,b,c;
			a=fr.scanInt();
			b=fr.scanInt();
			c=fr.scanInt();
			if(a>b) {
				k=a;
				a=b;
				b=k;
			}
			if(a==b)
				System.out.println("OBEY");
			else {
				k=gcd(a,b);
				long t1=a;
				t1*=b;
				t1/=k;
				long t2=t1/b;
				long t3=t1/a - 1;
				long t4=t3/t2;
				if(t3%t2!=0)
					t4++;
				
				if(t4>=c)
					System.out.println("REBEL");
				else 
					System.out.println("OBEY");
			}
		}
	}
	static int gcd(int a,int b) {
		if(b%a==0)
			return a;
		return gcd(b%a,a);
	}
	
	static class Scan
	{
	    private byte[] buf=new byte[1024];
	    private int index;
	    private InputStream in;
	    private int total;
	    public Scan()
	    {
	        in=System.in;
	    }
	    public int scan()throws IOException
	    {
	        if(total<0)
	        throw new InputMismatchException();
	        if(index>=total)
	        {
	            index=0;
	            total=in.read(buf);
	            if(total<=0)
	            return -1;
	        }
	        return buf[index++];
	    }
	    public int scanInt()throws IOException
	    {
	        int integer=0;
	        int n=scan();
	        while(isWhiteSpace(n))
	        n=scan();
	        int neg=1;
	        if(n=='-')
	        {
	            neg=-1;
	            n=scan();
	        }
	        while(!isWhiteSpace(n))
	        {
	            if(n>='0'&&n<='9')
	            {
	                integer*=10;
	                integer+=n-'0';
	                n=scan();
	            }
	            else throw new InputMismatchException();
	        }
	        return neg*integer;
	    }
	    public long scanLong()throws IOException
	    {
	        long integer=0;
	        int n=scan();
	        while(isWhiteSpace(n))
	        n=scan();
	        int neg=1;
	        if(n=='-')
	        {
	            neg=-1;
	            n=scan();
	        }
	        while(!isWhiteSpace(n))
	        {
	            if(n>='0'&&n<='9')
	            {
	                integer*=10;
	                integer+=n-'0';
	                n=scan();
	            }
	            else throw new InputMismatchException();
	        }
	        return neg*integer;
	    }
	    public double scanDouble()throws IOException
	    {
	        double doub=0;
	        int n=scan();
	        while(isWhiteSpace(n))
	        n=scan();
	        int neg=1;
	        if(n=='-')
	        {
	            neg=-1;
	            n=scan();
	        }
	        while(!isWhiteSpace(n)&&n!='.')
	        {
	            if(n>='0'&&n<='9')
	            {
	                doub*=10;
	                doub+=n-'0';
	                n=scan();
	            }
	            else throw new InputMismatchException();
	        }
	        if(n=='.')
	        {
	            n=scan();
	            double temp=1;
	            while(!isWhiteSpace(n))
	            {
	                if(n>='0'&&n<='9')
	                {
	                    temp/=10;
	                    doub+=(n-'0')*temp;
	                    n=scan();
	                }
	                else throw new InputMismatchException();
	            }
	        }
	        return doub*neg;
	    }
	    public String scanString()throws IOException
	    {
	        StringBuilder sb=new StringBuilder();
	        int n=scan();
	        while(isWhiteSpace(n))
	        n=scan();
	        while(!isWhiteSpace(n))
	        {
	            sb.append((char)n);
	            n=scan();
	        }
	        return sb.toString();
	    }
	    private boolean isWhiteSpace(int n)
	    {
	        if(n==' '||n=='\n'||n=='\r'||n=='\t'||n==-1)
	        return true;
	        return false;
	    }
	}
}