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{

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		String num_a = sc.next();
		String num_b = sc.next();
		int a_length = num_a.length();
		int b_length = num_b.length();
		String message = "";
		if(a_length > b_length) {
			message = "GREATER";
		} else if(a_length < b_length) {
			message = "LESS";
		} else {
			int i = 0;
			for(i = 0; i < a_length; i++) {
				int a = Integer.parseInt(num_a.charAt(i) + "");
				int b = Integer.parseInt(num_b.charAt(i) + "");
				if(a > b) {
					message = "GREATER";
					break;
				} else if(a < b) {
					message = "LESS";
					break;
				}
			}
			if(i == a_length) {
				message = "EQUAL";
			}
		}
		System.out.println(message);
	}
}