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.math.*;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        String S1 = sc.next();
        String S2 = sc.next();
        BigInteger a = new BigInteger(S1);
        BigInteger b = new BigInteger(S2);
        System.out.println(judge(a,b));
    }
    static String judge(BigInteger a, BigInteger b){
        int t = a.compareTo(b);
        if(t==0){
            return "EQUAL";
        }else if(t>0){
            return "GREATER";
        }else{
            return "LESS";
        }
    }
}