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);
    char[] a=sc.next().toCharArray();
    char[] b=sc.next().toCharArray();
    String ans=null;
    if(a.length>b.length){
      ans="GREATER";
    }else if(a.length<b.length){
      ans="LESS";
    }else{
      for(int i=0;i<a.length;i++){
        if(a[i]>b[i]){
          ans="GREATER";
          break;
        }else if(a[i]<b[i]){
          ans="LESS";
          break;
        }
      }
    }
    if(ans==null){
      System.out.println("EQUAL");
    }else{
      System.out.println(ans);
    }
  }
}