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.*;

public class Main {
	static Scanner sc = new Scanner(System.in);

	public static void main(String[] args) {
		String a = sc.next();
		String b = sc.next();
		String msg = null;

		if (a.length() > b.length()) {
			msg = "GREATER";
		} else if (a.length() < b.length()) {
			msg = "LESS";
		} else {
			msg = "EQUAL";
			for (int i = 0; i < a.length(); i++) {
				if (a.charAt(i) > b.charAt(i)) {
					msg = "GREATER";
					break;
				} else if (a.charAt(i) < b.charAt(i)) {
					msg = "LESS";
					break;
				}
			}

		}

		System.out.println(msg);
	}
}