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) {
		Scanner sc = new Scanner(System.in);

		String A = sc.nextLine();
		String B = sc.nextLine();

		int res = 0;

		if(A.length() != B.length()){
			res = A.length() - B.length();
		}else{
			for(int i = 0;i < A.length();i++){
				int A_num = A.charAt(i) - '0';
				int B_num = B.charAt(i) - '0';

				if(A_num == B_num)continue;
				res = A_num - B_num;
				break;
			}

		}

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


		sc.close();

	}

}