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.Scanner;

public class Main {

	public static void main(String[] args) throws Exception {
		Scanner sc = new Scanner(System.in);
		String a = sc.next();
		String[] pa = a.split("");
		String b = sc.next();
		String[] pb = b.split("");
		if(pa.length == pb.length){
			for(int i=0;i<pa.length;i++){
				if(Integer.parseInt(pa[i]) > Integer.parseInt(pb[i])){
					System.out.println("GREATER");
					return;
				}else if(Integer.parseInt(pa[i]) < Integer.parseInt(pb[i])){
					System.out.println("LESS");
					return;
				}
			}
			System.out.println("EQUAL");
		}else if(pa.length > pb.length){
			System.out.println("GREATER");
			return;
		}else if(pa.length < pb.length){
			System.out.println("LESS");
			return;
		}
	}
}