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) {
		Scanner sc = new Scanner(System.in);

		String a = sc.next();
		String b = sc.next();

		System.out.println(judge(a, b));

		sc.close();
	}

	static String judge(String a, String b) {
		if (a.length() == b.length()) {
			int ia = Integer.parseInt("" + a.charAt(0));
			int ib = Integer.parseInt("" + b.charAt(0));
			if (ia == ib) {
				return "EQUAL";
			} else if (ia > ib) {
				return "GREATER";
			} else {
				return "LESS";
			}
		} else if (a.length() > b.length()) {
			return "GREATER";
		} else {
			return "LESS";
		}
	}
}