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 scanner = new Scanner(System.in);
 
	public static void main(String[]$) {
		String a = scanner.next();
		String b = scanner.next();
		int compare1 = Integer.compare(a.length(), b.length());
		int compare2 = a.compareTo(b);
		if (a.equals(b)) {
			System.out.println("EQUAL");
		} else if (compare1 == 0) {
			System.out.println(0 < compare2 ? "GREATER" : "LESS");
		} else {
			System.out.println(0 < compare1 ? "GREATER" : "LESS");
		}
	}
}