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();
        System.out.println((a.length()<b.length())?"LESS":(a.length()>b.length())?"GREATER":    (a.compareTo(b)<0)?"LESS":(a.compareTo(b)==0)?"EQUAL":"GREATER");
    }
}