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 {

	@SuppressWarnings("resource")
	public static void main(String args[]) {
		Scanner scanner = new Scanner(System.in);
		BigInteger a = scanner.nextBigInteger();
		BigInteger b = scanner.nextBigInteger();
		String ans = "";

		if (a.compareTo(b) == -1) {
			ans = "LESS";
		} else if (a.compareTo(b) == 0) {
			ans = "EQUAL";
		} else {
			ans = "GREATER";
		}

		System.out.println(ans);
	}
}