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();
    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++){
        if(a.charAt(i) == b.charAt(i)){
          continue;
        }else if(a.charAt(i) > b.charAt(i)){
          System.out.println("GREATER");
          System.exit(0);
        }else{
          System.out.println("LESS");
          System.exit(0);
        }
      }
      System.out.println("EQUAL");
    }
  }
}