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 scan = new Scanner(System.in);
        String a = scan.next();
        String b = scan.next();
        String out = "EQUAL";
        if(a.length() != b.length()){
            if(a.length() > b.length()){
                out = "GREATER";
            }else{
                out = "LESS";
            }
            System.out.println(out);
            System.exit(0);
        }else{
            if(a.compareTo(b) < 0){
                out = "LESS";
            }else if(a.compareTo(b) > 0){
                out = "GREATER";
            }
        }
        System.out.print(out);
    }
}