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.BigInteger;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        System.out.println(a59_b(sc.next(),sc.next()));
    }

    static String a59_b(String i1, String i2) {
        BigInteger b1 = new BigInteger(i1);
        BigInteger b2 = new BigInteger(i2);

        int i = b1.compareTo(b2);
        if (i == -1) {
            return "LESS";
        } else if (i == 1) {
            return "GREATER";
        } else {
            return "EQUAL";
        }
    }
}