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.Formatter;
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();

		int zero = 0;
		Formatter formatterA = new Formatter();
		a = formatterA.format("%0" + (102 - a.length()) + "d" + "%s", zero, a).toString();
		Formatter formatterB = new Formatter();
		b = formatterB.format("%0" + (102 - b.length()) + "d" + "%s", zero, b).toString();

//		System.out.println(a);
//		System.out.println(b);
		System.out.println(a.compareTo(b) > 0 ? "GREATER" :
			a.compareTo(b) < 0 ? "LESS" : "EQUAL");
    }
}