Problem: You are given two positive integers A and B. Compare the magnitudes of these numbers.

Constraints

* 1 ≤ A, B ≤ 10^{100}
* Neither A nor B begins with a `0`.

Input

Input is given from Standard Input in the following format:


A
B


Output

Print `GREATER` if A>B, `LESS` if A<B and `EQUAL` if A=B.

Examples

Input

36
24


Output

GREATER


Input

850
3777


Output

LESS


Input

9720246
22516266


Output

LESS


Input

123456789012345678901234567890
234567890123456789012345678901


Output

LESS

Solution (in JAVA):

Solution:
import java.util.*;
public class Main{
 public static void main(String[] args){
   Scanner sc = new Scanner(System.in);
 
   String S = sc.next();
   String M = sc.next();
   
   if(S.equals(M)) System.out.println("EQUAL");
   else if(S.length()>M.length()) System.out.println("GREATER");
   else if(S.length()<M.length()) System.out.println("LESS");
   else
   {
     String[] m ={S,M};
     Arrays.sort(m);
     
     if(S.equals(m[1])) System.out.println("GREATER");
     else System.out.println("LESS");
   }
 }
}