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 scan = new Scanner(System.in);
		String a = scan.next();
		String b = scan.next();
		if (a.length() > b.length()) {
			System.out.println("GREATER");
			return;
		}
		if (a.length() < b.length()) {
			System.out.println("LESS");
			return;
		}
		char[] ac = new char[a.length()];
		char[] bc = new char[b.length()];
		for (int i = 0; i < a.length(); i++) {
			ac[i] = a.charAt(i);
		}
		for (int i = 0; i < b.length(); i++) {
			bc[i] = b.charAt(i);
		}
		for (int i = 0; i < a.length(); i++) {
			if (ac[i]>bc[i]) {
				System.out.println("GREATER");
				return;
			}
			if (ac[i]<bc[i]) {
				System.out.println("LESS");
				return;
			}
		}
		System.out.println("EQUAL");
	}
}