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.Scanner;

public class Main{
    public static void main(String[] args){
	Scanner scan = new Scanner(System.in);

	String a = scan.next();
	String b = scan.next();

	if(a.length() > b.length()){
	    System.out.println("GREATER");
	}else if(b.length() > a.length()){
	    System.out.println("LESS");
	}else{
	    int flag = -1;
	    for(int i = 0; i < a.length(); i++){
		if(a.charAt(i) > b.charAt(i)){
		    System.out.println("GREATER");
		    flag = 1;
		    break;
		}else if(b.charAt(i) > a.charAt(i)){
		    System.out.println("LESS");
		    flag = 1;
		    break;
		}
	    }
	    if(flag == -1){
		System.out.println("EQUAL");
	    }
	}
    }
}