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 reader = new Scanner(System.in);

		String input1 = reader.nextLine();
		String input2 = reader.nextLine();

		BigInteger b1 = new BigInteger(input1);
		BigInteger b2 = new BigInteger(input2);

		if (b1.compareTo(b2) < 0) {
			System.out.println("LESS");
		} else  if (b1.compareTo(b2) > 0) {
			System.out.println("GREATER");
		} else {
			System.out.println("EQUAL");
		}

		reader.close();
	}
}