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;
class Main{
public static void main(String args[]){
Scanner sc = new Scanner(System.in);
String A = sc.next();
String B = sc.next();
int mir = 0;
if(A.length() > B.length()){System.out.println("GREATER");
}else if(A.length() < B.length()){System.out.print("LESS");
}else if(A.length() == B.length()){
while(true){
try{
int a = Integer.parseInt(String.valueOf(A.charAt(mir)));
int b = Integer.parseInt(String.valueOf(B.charAt(mir)));
if(a > b ){System.out.println("GREATER");break;}
else if(a < b){System.out.println("LESS");break;}
mir++;}
catch(IndexOutOfBoundsException e){System.out.println("EQUAL");break;}
}
}
}
}