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.*;
import static java.lang.System.*;
import static java.lang.Math.*;
public class Main {
public static void main(String[] args){
Scanner sc = new Scanner(in);
String a=sc.next();
String b=sc.next();
for(int i=0;i<100-a.length();i++){
a="0"+a;
}
for(int i=0;i<100-b.length();i++){
b="0"+b;
}
if(a.compareTo(b)>0){
    out.println("GREATER");
}else if(a.compareTo(b)<0){
    out.println("LESS");
}else{
    out.println("EQUAL");
}
}
}