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.io.BufferedReader;
import java.io.InputStreamReader;
import java.math.BigInteger;
import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        Scanner scan = new Scanner(new BufferedReader(new InputStreamReader(System.in)));
        String A = scan.next();
        String B = scan.next();
        BigInteger a = new BigInteger(A);
        BigInteger b = new BigInteger(B);
        String answer = "";
        int compare = a.compareTo(b);
        if (compare == 0) {
            answer = "EQUAL";
        } else if (compare < 1) {
            answer = "LESS";
        } else {
            answer = "GREATER";
        }
        System.out.println(answer);
    }
}