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.math.BigInteger;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		try {
			BigInteger a = new BigInteger(sc.nextLine());
			BigInteger b = new BigInteger(sc.nextLine());

			if (a.compareTo(b) > 0) {
				System.out.println("GREATER");
			} else if (a.compareTo(b) == 0) {
				System.out.println("EQUAL");
			} else {
				System.out.println("LESS");
			}

		} finally {
			sc.close();
		}
	}
}