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 a=sc.next();
    String b=sc.next();
    boolean ans=true;
    if(a.length()>b.length()){
      System.out.println("GREATER");
    }else if(a.length()<b.length()){
      System.out.println("LESS");
    }else{
      for(int i=0;i<a.length();i++){
        char aa=a.charAt(i);
        char bb=b.charAt(i);
        if (aa>bb){
          System.out.println("GREATER");
          ans=false;
          break;
        }
        else if(aa<bb){
          System.out.println("LESS");
          ans=false;
          break;
        }
      }
      if(ans==true)System.out.println("EQUAL");
    }
    
  }
}