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);
		String A = sc.nextLine();
		String B = sc.nextLine();
		sc.close();
		if(A.length() > B.length()){
			System.out.println("GREATER");
		}
		else if(A.length() < B.length()){
			System.out.println("LESS");
		}
		else if(A.equalsIgnoreCase(B)){
			System.out.println("EQUAL");
		}
		else{
			BigInteger BgA = new BigInteger(A);
			BigInteger BgB = new BigInteger(B);
			int cmp = BgA.compareTo(BgB);
			if(cmp > 0){
				System.out.println("GREATER");
			}
			else{
				System.out.println("LESS");
			}
		}
	}

}