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) {
        @SuppressWarnings("resource")
        Scanner sc = new Scanner(System.in);
        String a = sc.next();
        String b = sc.next();
        if (a.length() == b.length()) {
            if (a.compareTo(b) < 0) {
                System.out.println("LESS");
            } else if (a.compareTo(b) == 0){
                System.out.println("EQUAL");
            } else {
                System.out.println("GREATER");
            }
        } else {
            System.out.println(a.length() > b.length() ? "GREATER" : "LESS");
        }
    }

}