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 java.lang.*;
import java.math.BigInteger;
 
public class Main {
    public static void main(String[] args) {

        Scanner sc  = new Scanner(System.in);

        String a1 = sc.next();
        String b1 = sc.next();
        
        BigInteger a2 = new BigInteger(a1);
        BigInteger b2 = new BigInteger(b1);
        
        BigInteger c  = a2.subtract(b2);

        if(  a2.compareTo(b2) > 0) { System.out.print("GREATER");}
        else if( a2.compareTo(b2) == 0) {      System.out.print("EQUAL");}
        else    {                          System.out.print("LESS");}
        

        System.out.println();
    }

}